{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Indipendent Component Analyses" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[sklearn.decomposition.FastICA](http://scikit-learn.org/stable/modules/generated/sklearn.decomposition.FastICA.html)\n", "\n", "Independent component analysis separates a multivariate signal into additive subcomponents that are maximally independent. It is implemented in scikit-learn using the Fast ICA algorithm. Typically, ICA is not used for reducing dimensionality but for separating superimposed signals. Since the ICA model does not include a noise term, for the model to be correct, whitening must be applied. This can be done internally using the whiten argument or manually using one of the PCA variants.\n", "\n", "Usable examples: [Faces dataset decompositions](http://scikit-learn.org/stable/auto_examples/decomposition/plot_faces_decomposition.html)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":0: FutureWarning: IPython widgets are experimental and may change in the future.\n" ] } ], "source": [ "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2\n", "import os, sys\n", "import numpy as np\n", "from skimage import io\n", "import matplotlib.pylab as plt\n", "sys.path += [os.path.abspath('.'), os.path.abspath('..')] # Add path to root\n", "import notebooks.notebook_utils as uts" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## load datset" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "loading dataset: (True) exists -> /mnt/30C0201EC01FE8BC/TEMP/atomicPatternDictionary_v0/datasetFuzzy_raw\nloading (True) <- /mnt/30C0201EC01FE8BC/TEMP/atomicPatternDictionary_v0/dictionary/atlas.png\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAEICAYAAAB/KknhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAEjFJREFUeJzt3X2QXXV9x/H3xxASnkII0BASxmBB\nMHUk2JWHkaISeSyV/MEwICNrJ87OtLaFaiugo1Mcx0E7I9rRod0CElsUEMVgxgdipKPTSmAj4TEi\nUYIkTVgQ0gCtIcFv/zi/rZftPpzdex528/u8Zu7sPeeee883ufu5v9/v3LO/o4jAzPLyurYLMLPm\nOfhmGXLwzTLk4JtlyME3y5CDb5YhB3+Kk7RZ0rvbrmM0kj4q6Ya267CJcfBbIOnfJL0gadaw9TdL\n+lRbdU1GRHw6Ij7Q9H4lfVfSSx23VyQ93HQd05WD3zBJi4E/AgJ4T6vFTGMRcW5EHDh0A/4D+Hrb\ndU0XDn7zLgPuBW4GeodWSuoDLgU+klqwbw9/oqSTJP1E0g5J2yR9UdK+6TFJuk7SoKSdkh6W9Ob0\n2HslPTRaQcOHE5L+TtK/pvuLJYWkXkm/kvScpI+NtG1afp+kpyT9WtLHOl97eI9G0jslbelYPlLS\nNyQ9K+lJSX9V5j+048P0K2W2Nwe/DZcBt6Tb2ZLmA0REf1r32dSK/ckIz30V+GvgMOBUYBnw5+mx\ns4DTgTcCBwMXAb9Or/3ViHhLl3WfBhyX9vkJSW8avoGkJcD1wPuAI4FDgUVlXlzS64BvAw8CC9N+\nrpB0domnXwb8OCI2l9mXOfiNknQa8Hrg9ohYD/wCeG/Z50fE+oi4NyL2pF/yfwLekR7eDRwEHA8o\nIjZGxLYKy78mIv4nIh6kCOcJI2xzIbA6In4UEbuAjwO/Lfn6bwMOj4hPRsQrEfFL4J+Bi0s89zKK\nHpSV5OA3qxe4OyKeS8tfpaO7Px5Jb5S0WtJ2STuBT1O0/kTED4EvAl8CBiX1S5pTYe3bO+7/N3Dg\nCNscCTw9tBARL5N6HSW8HjgyDWN2SNoBfBSYP9aT0ofpEcAdJfdjOPiNkbQfRff7HSm42ym67SdI\nGmo9x/tTyeuBnwHHRsQcimBo6MGI+IeI+ENgCUWX/29LlvcysH/H8hElnzfcNuCooQVJ+1N098vs\n52ngyYiY23E7KCLOG2efvcA3I+KlSdacJQe/OcspxuhLgKXp9ibgxxRdVYBngDeM8RoHATuBlyQd\nD/zZ0AOS3ibpZEkzKQL2G1I3W9L7JW0e43U3ABdLmimph6LLPhl3AOdLOi0ddPwkr/0d2wCcJ2me\npCOAKzoeuw94UdKVkvaTNEPSmyW9bbSddXyY3jzJerPl4DenF/hyRPwqIrYP3Si655dK2ge4EViS\nurrfGuE1/obimMCLFOPf2zoem5PWvQA8RdHF/vv02FHAv49R28eB30/PvYZiCDJhEfEo8MH0/G3p\n9bZ0bPIvFMcHNgN3d9YfEa8C51N8ID4JPAfcQHGgcjTLgR3APZOpN2fyRBx7P0l3A5dHxMYW9r0Z\n+EBE/KDpfdvo9mm7AKtfRJzVdg02tbirb5Yhd/XNMtRViy/pHEmPS9ok6aqqijKzek26xZc0A/g5\ncCbFkdv7gUsi4rHRnrOvZsVsDpjU/sxsfL/hZV6JXRpvu24O7p0EbEqnViLpVuACYNTgz+YATtay\nLnZpZmNZF2tLbddNV38hHadnUrT6C4dvJKlP0oCkgd3s6mJ3ZlaV2o/qR0R/RPRERM9MZo3/BDOr\nXTfB30rHedkUf365tbtyzKwJ3QT/fuBYSUen87IvBu6qpiwzq9OkD+5FxB5JfwF8H5gB3JTO1Taz\nKa6rU3Yj4jvAdyqqxcwa4lN2zTLk4JtlyME3y5CDb5YhB98sQw6+WYYcfLMMOfhmGXLwzTKU5WSb\n//WdY0ptd/B5m2quxKwdbvHNMuTgm2Uom65+2e79WM9x19/2Fm7xzTLk4JtlyME3y5CDb5YhB98s\nQw6+WYYcfLMMOfhmGXLwzTLk4JtlKJtTdi0P5z664zXL3/2DuS1VMrW5xTfL0LjBl3STpEFJj3Ss\nmydpjaQn0s9D6i3TzKqkiBh7A+l04CXgKxHx5rTus8DzEXGtpKuAQyLiyvF2Nkfz4mQtq6DsiZvM\nX+eNxX+pV7/h3fZu5dDtXxdr2RnPa7ztxm3xI+JHwPPDVl8ArEz3VwLLJ1yhmbVmsgf35kfEtnR/\nOzB/tA0l9QF9ALPZf5K7M7MqdX1UPyJC0qjjhYjoB/qh6Op3u782uXtfr6q79ja6yR7Vf0bSAoD0\nc7C6ksysbpMN/l1Ab7rfC6yqphwza0KZr/O+BvwEOE7SFkkrgGuBMyU9Abw7LZvZNDHuGD8iLhnl\noXa+l7O9SpPj+s595fDV3lh85p5Zhhx8swxl80c6nV/F+RJa7ZkqX9nl/sc8bvHNMuTgm2XIwTfL\nUDZj/E5Vj92f6zu10tebiMP6f9LavsuaKuN6+x23+GYZcvDNMjTuRBxVanMijiq02aWfjKk4DJgO\n3f7p/NVeZRNxmNnex8E3y1CWR/XLmm5d++HGqn8yw4Dv/+eG0tuefeTSCb++NcctvlmGHHyzDDn4\nZhnyGH8Mw8fB03nMP9mv9iYyrh/teR7vTz1u8c0y5OCbZchd/TFM5679cMP/LVPxrD5rjlt8sww5\n+GYZcvDNMuQxfiY8ph/bdP6LvMlwi2+WoTKX0DpK0j2SHpP0qKTL0/p5ktZIeiL9PKT+cs2sCmW6\n+nuAD0fETyUdBKyXtAZ4P7A2Iq6VdBVwFXBlfaXaRLXZve88W286TL6Rm3Fb/IjYFhE/TfdfBDYC\nC4ELgJVps5XA8rqKNLNqTejgnqTFwInAOmB+RGxLD20H5o/ynD6gD2A2+0+2TjOrUOmDe5IOBL4B\nXBEROzsfi2LivhEn74uI/ojoiYiemczqqlgzq0apFl/STIrQ3xIR30yrn5G0ICK2SVoADNZVZFv2\npr/Oa9pof53n8f7UUOaovoAbgY0R8bmOh+4CetP9XmBV9eWZWR3KtPhvB94HPCxp6GP8o8C1wO2S\nVgBPARfVU6KZVc3z6lcgl0to1THZZltd/731TD3Pq29mo3LwzTLkrn6Lqp73frqru9u/t3bvO7mr\nb2ajcvDNMuTgm2XIE3G0KMdx/FiGj8HLjvlzGLtXzS2+WYYcfLMMuatvU5a78PVxi2+WIQffLEMO\nvlmGHHyzDDn4Zhly8M0y5OCbZcjBN8uQg2+WIQffLEMOvlmGHHyzDDn4Zhly8M0y5OCbZajMtfNm\nS7pP0oOSHpV0TVp/tKR1kjZJuk3SvvWXa2ZVKNPi7wLOiIgTgKXAOZJOAT4DXBcRxwAvACvqK9PM\nqjRu8KPwUlqcmW4BnAHckdavBJbXUqGZVa7UGF/SjHSl3EFgDfALYEdE7EmbbAEWjvLcPkkDkgZ2\ns6uKms2sS6WCHxGvRsRSYBFwEnB82R1ERH9E9EREz0xmTbJMM6vShI7qR8QO4B7gVGCupKHJOhcB\nWyuuzcxqUuao/uGS5qb7+wFnAhspPgAuTJv1AqvqKtLMqlVmeu0FwEpJMyg+KG6PiNWSHgNulfQp\n4AHgxhrrNLMKjRv8iHgIOHGE9b+kGO+b2TTjM/fMMuTgm2XIwTfLkINvliEH3yxDDr5ZhnyZ7Dqc\n8pbf3b/3ofbqMBuFW3yzDDn4ZhnKs6vf2RUfrrNrPtZ2k92Xu/42BbjFN8uQg2+WIQffLEP5jPHL\njterGNeXfX2P960lbvHNMuTgm2Vo7+3q191lr4K/6rOWuMU3y5CDb5YhB98sQw6+WYYcfLMMOfhm\nGXLwzTLk4JtlqHTw06WyH5C0Oi0fLWmdpE2SbpO0b31lmlmVJnLm3uUUF8uck5Y/A1wXEbdK+kdg\nBXB9xfVN3vCz4KbimXw+U89aUqrFl7QI+GPghrQs4AzgjrTJSmB5HQWaWfXKdvU/D3wE+G1aPhTY\nERF70vIWYOFIT5TUJ2lA0sBudnVVrJlVY9zgSzofGIyI9ZPZQUT0R0RPRPTMZNZkXsLMKlZmjP92\n4D2SzgNmU4zxvwDMlbRPavUXAVvrK7MCVUyiWfVrNGjT504pve0xH7q3xkpsKhi3xY+IqyNiUUQs\nBi4GfhgRlwL3ABemzXqBVbVVaWaV6uZ7/CuBD0naRDHmv7GaksysboqIxnY2R/PiZC1rbH+5m0j3\nfjTu9k8v62ItO+N5jbedz9wzy5CDb5ahvXfOvUxV0b0f7fXc7d97uMU3y5CDb5YhB98sQw6+WYYc\nfLMMOfhmGXLwzTLk4JtlyME3y5CDb5YhB98sQw6+WYYcfLMMOfhmGXLwzTLk4JtlyME3y5CDb5Yh\nB98sQw6+WYYcfLMMOfhmGSo1vbakzcCLwKvAnojokTQPuA1YDGwGLoqIF+op08yqNJEW/10RsTQi\netLyVcDaiDgWWJuWzWwa6KarfwGwMt1fCSzvvhwza0LZ4Adwt6T1kvrSuvkRsS3d3w7MH+mJkvok\nDUga2M2uLss1syqUvYTWaRGxVdLvAWsk/azzwYgISSNedjci+oF+KK6W21W1ZlaJUi1+RGxNPweB\nO4GTgGckLQBIPwfrKtLMqjVu8CUdIOmgofvAWcAjwF1Ab9qsF1hVV5FmVq0yXf35wJ2Shrb/akR8\nT9L9wO2SVgBPARfVV6aZVUkRzQ2752henKxlje0vd1VcMtuXxp5e1sVadsbzGm87n7lnliEH3yxD\nDr5Zhsp+j2/TUOf4fCLjfY/r935u8c0y5OCbZchd/Uy4+26d3OKbZcjBN8uQg2+WIQffLEMOvlmG\nHHyzDDn4Zhly8M0y5OCbZcjBN8uQg2+WIQffLEMOvlmGHHyzDDn4Zhly8M0y5OCbZcjBN8tQqeBL\nmivpDkk/k7RR0qmS5klaI+mJ9POQuos1s2qUbfG/AHwvIo4HTgA2AlcBayPiWGBtWjazaaDM1XIP\nBk4HbgSIiFciYgdwAbAybbYSWF5XkWZWrTIt/tHAs8CXJT0g6YZ0uez5EbEtbbOd4qq6/4+kPkkD\nkgZ2s6uaqs2sK2WCvw/wVuD6iDgReJlh3fooLrk74mV3I6I/Inoiomcms7qt18wqUCb4W4AtEbEu\nLd9B8UHwjKQFAOnnYD0lmlnVxg1+RGwHnpZ0XFq1DHgMuAvoTet6gVW1VGhmlSt7JZ2/BG6RtC/w\nS+BPKT40bpe0AngKuKieEs2saqWCHxEbgJ4RHlpWbTlm1gSfuWeWIQffLEMOvlmGHHyzDDn4Zhly\n8M0ypOJs24Z2Jj1L8Z3/YcBzje14ZFOhBnAdw7mO15poHa+PiMPH26jR4P/fTqWBiBjpvICsanAd\nrqOtOtzVN8uQg2+WobaC39/SfjtNhRrAdQznOl6rljpaGeObWbvc1TfLkINvlqFGgy/pHEmPS9ok\nqbFZeSXdJGlQ0iMd6xqfHlzSUZLukfSYpEclXd5GLZJmS7pP0oOpjmvS+qMlrUvvz21p/oXaSZqR\n5nNc3VYdkjZLeljSBkkDaV0bvyONTGXfWPAlzQC+BJwLLAEukbSkod3fDJwzbF0b04PvAT4cEUuA\nU4APpv+DpmvZBZwREScAS4FzJJ0CfAa4LiKOAV4AVtRcx5DLKaZsH9JWHe+KiKUd35u38TvSzFT2\nEdHIDTgV+H7H8tXA1Q3ufzHwSMfy48CCdH8B8HhTtXTUsAo4s81agP2BnwInU5whts9I71eN+1+U\nfpnPAFYDaqmOzcBhw9Y1+r4ABwNPkg6611lHk139hcDTHctb0rq2lJoevC6SFgMnAuvaqCV1rzdQ\nTJK6BvgFsCMi9qRNmnp/Pg98BPhtWj60pToCuFvSekl9aV3T70tXU9lPhA/uMfb04HWQdCDwDeCK\niNjZRi0R8WpELKVocU8Cjq97n8NJOh8YjIj1Te97BKdFxFsphqIflHR654MNvS9dTWU/EU0Gfytw\nVMfyorSuLa1MDy5pJkXob4mIb7ZZC0AUV0W6h6JLPVfS0DyMTbw/bwfeI2kzcCtFd/8LLdRBRGxN\nPweBOyk+DJt+Xxqbyr7J4N8PHJuO2O4LXEwxRXdbGp8eXJIoLkW2MSI+11Ytkg6XNDfd34/iOMNG\nig+AC5uqIyKujohFEbGY4vfhhxFxadN1SDpA0kFD94GzgEdo+H2JJqeyr/ugybCDFOcBP6cYT36s\nwf1+DdgG7Kb4VF1BMZZcCzwB/ACY10Adp1F00x4CNqTbeU3XArwFeCDV8QjwibT+DcB9wCbg68Cs\nBt+jdwKr26gj7e/BdHt06Hezpd+RpcBAem++BRxSRx0+ZdcsQz64Z5YhB98sQw6+WYYcfLMMOfhm\nGXLwzTLk4Jtl6H8BEGZDb3ifE5cAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p_dataset = os.path.join(uts.DEFAULT_PATH, uts.SYNTH_DATASETS_FUZZY[0])\n", "print ('loading dataset: ({}) exists -> {}'.format(os.path.exists(p_dataset), p_dataset))\n", "\n", "p_atlas = os.path.join(uts.DEFAULT_PATH, 'dictionary/atlas.png')\n", "atlas_gt = io.imread(p_atlas)\n", "nb_patterns = len(np.unique(atlas_gt))\n", "print ('loading ({}) <- {}'.format(os.path.exists(p_atlas), p_atlas))\n", "plt.imshow(atlas_gt, interpolation='nearest')\n", "_ = plt.title('Atlas; unique %i' % nb_patterns)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "loaded images # 800\nimage shape: (64, 64)\n" ] } ], "source": [ "list_imgs = uts.load_dataset(p_dataset)\n", "print ('loaded images #', len(list_imgs))\n", "img_shape = list_imgs[0].shape\n", "print ('image shape:', img_shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Pre-Processing**" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "input data shape: (800, 4096)\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaEAAADUCAYAAAA1MJwEAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nevBwFgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = np.array([im.ravel() for im in list_imgs]) # - 0.5\n", "print ('input data shape:', X.shape)\n", "\n", "plt.figure(figsize=(7, 3))\n", "_= plt.imshow(X, aspect='auto'), plt.xlabel('features'), plt.ylabel('samples'), plt.colorbar()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA2IAAACqCAYAAADP/PzWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "uts.show_sample_data_as_imgs(X, img_shape, nb_rows=1, nb_cols=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## FastICA" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fitting parameters: {'fun_args': None, 'algorithm': 'parallel', 'max_iter': 999, 'random_state': None, 'n_components': 7, 'tol': 0.0001, 'fun': 'logcosh', 'w_init': None, 'whiten': True}\nnumber of iteration: 19\n" ] } ], "source": [ "from sklearn.decomposition import FastICA\n", "ica = FastICA(n_components=nb_patterns, max_iter=999, whiten=True)\n", "\n", "X_new = ica.fit_transform(X) # Reconstruct signals\n", "print ('fitting parameters:', ica.get_params())\n", "print ('number of iteration:', ica.n_iter_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**representation of estimated components - disctionary**" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "estimated mixing matrix: (4096, 7)\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABLwAAACgCAYAAAAGhHXJAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print ('estimated mixing matrix:', ica.mixing_.shape)\n", "# print 'ICA mean:', ica.mean_\n", "\n", "uts.show_sample_data_as_imgs(ica.mixing_.T, img_shape, nb_cols=nb_patterns, bool_clr=True)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAASQAAAD8CAYAAADe49kaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQoqIYiQhRUQxkpAiohhJSBFRjP8HzFQtu9pmHdQAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "comp = ica.mixing_.T\n", "ptn_used = np.sum(np.abs(X_new), axis=0) > 0\n", "atlas_ptns = comp[ptn_used, :].reshape((-1, ) + list_imgs[0].shape)\n", "\n", "atlas_ptns = comp.reshape((-1, ) + list_imgs[0].shape)\n", "atlas_estim = np.argmax(atlas_ptns, axis=0)\n", "atlas_sum = np.sum(np.abs(atlas_ptns), axis=0)\n", "atlas_estim[atlas_sum < 1e-1] = 0\n", "_ = plt.imshow(atlas_estim, interpolation='nearest'), plt.colorbar()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAl8AAALWCAYAAAB4APYNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "l_idx = [0, 1, 2, 15, 40]\n", "fig, axr = plt.subplots(len(l_idx), 2, figsize=(10, 2.5 * len(l_idx)))\n", "for i, idx in enumerate(l_idx):\n", " axr[i, 0].plot(atlas_ptns[:,idx,:].T), axr[i, 0].set_xlim([0, 63])\n", " axr[i, 0].set_title('row: {}'.format(idx))\n", " axr[i, 1].plot(np.sum(atlas_ptns[:,idx,:].T, axis=1)), axr[i, 1].set_xlim([0, 63])\n", " axr[i, 1].set_title('sum over comp.')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**show the particular coding of each sample**" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAADTCAYAAACfiFSbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nmTXkRGFmZg39L4B94VVqLGxQAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(6, 3))\n", "plt.imshow(X_new[:20,:], interpolation='nearest', aspect='auto'), plt.colorbar()\n", "_= plt.xlabel('components'), plt.ylabel('samples')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**backword reconstruction from encoding and dictionary**" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ICA mean [ 0. 0. 0. ..., 0.00305882 0.00227451\n 0.00213725]\nICA model by reverting the unmixing (200, 4096)\n" ] } ], "source": [ "res = np.dot(X_new, ica.mixing_.T)# + ica.mean_\n", "print ('ICA mean', ica.mean_)\n", "print ('ICA model by reverting the unmixing', res.shape)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAicAAAEwCAYAAABsa9FjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBo\ndHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAIABJREFUeJzsvX2wJNlVH/g7mVXvve751nT39EyP\nMNIyYElgBAySCQIjbISHf6QN24s+YBdiwcSyqwjv8hErBxEKQo6NEPaaNRur3fCYlQMwWALCxh3B\nGO0a0LKBkZhmDULTQtJoBJoeSdPT893T/V595Nk/7jk3b97MW9/1qm6984vorpdZN2/erPpl1jm/\ne865xMwwGAwGg8Fg2BYUmx6AwWAwGAwGQwgzTgwGg8FgMGwVzDgxGAwGg8GwVTDjxGAwGAwGw1bB\njBODwWAwGAxbBTNODAaDwWAwbBXMODEYDAaDwbBVMOPEYDAYDAbDVsGME4PBYDAYDFsFM04MBoPB\nYDBsFXqbHoBht/G3v+sWfva5ced7f/zJo48y80PHPCSDYW6keGwcNuSC3Dhsxolhrbj23Aj/8bcv\ndL53cN8XzhzzcAyGhZDisXHYkAty4/CxGiff+oM/11xlkNwLU/B3Eb2W7rUqpUERHBOBtPdKmo7d\nDhJjkSr3z3UQHROtf0jrXhBx0+stdnx+y+CPfuknOntkACN0Kyc5wjgc4IRwGNgtHn/bO/7nxjdH\nXd9jglueU7N89/7eoGgbye+u657YNnR+XhE2dR1/+JGf3BkOm3JiWCsYjCFX0xsaDFsM47Ehd+TG\n4c0YJ6EFLduxt1nJyKq+a8S95v5Oy1ss2mIkmyPXqBhyYz9Qe59qBPvu1uUNrrDfLst9bkudsXLP\nM3WaIfK5IWaGcXgp5MRhPdWu8XguxaSKFLwZVDmvmJSuLRdumxBQKfr+9LzboKDMopDMeuw2XE9u\nHDblxLBWVGAcZmStGwxdMB4bckduHN6scRLM0ae8zfG+bO+hsc1F26ylyh1THqHxSmK2VuDa84w9\nhAhq9S89b7/A4YtY7OnrmHBQy+VePZiB4aZjE9YJ43AndonDwAngMQDwDIqJxEBpLFQDlcp+wlWJ\ntdI+9b7ggvzXtS0Kylx8nSPeJtX/JpSU3DhsyolhrWAQhtugaRoMS8B4bMgduXH4eI2TaJ4+fPUZ\nDQlvc3irM/lGt8j8Zb8tTxUD57pWN4JAgAAlCBxFm6cyHZbCHH3NZLG3sjA6msSc0wD5WTyQNXqf\nDGCwS7X+jMMt7DqHtftd4XHrsw95NEUxKQeOs8VIuNs1SyAfE/XcH+O9Qo5xfVS9ZvxJMIRjiyHy\np0txdwKnZ8rWaR3U3cdx2gq5cXg7lJOiTrP0QYOJBzruGgAATp0etLo5vOEOGmMvekduhCq42ToC\nGoHFHrSLIPWAmDiGSTJ+dB3xzb6pQDMGMOR8boiFYRzeWQ7rWE4Cj3UKcJpRUhy5BjRsp6ZyKZ/T\nqebPS9V3+4ngv0wfNJscj/R5XN/5lKnSZptJFkyUPu33R834+K4tNw5vh3Fi2Fk4KbHc9DAMhqVg\nPDbkjtw4vNFU4oZEHgUTqiQee5sH4m3+2Ov+31a3//vlvwEAOHqV9CHeZzmQAK0BUBSzuZcNq3jN\nXmbjfU4PTaXWzvGoQawWexE1ncX7XIM0ziAMMrohZoZx+MRw2HW7ozwOEU7rcDPwNaWYlF96ttXN\n+L67XdubErktCgqXGqANMDclhVkDZIHVKA0Tp7ZkO6WMqKoUf1ZMVI9b06dV8WwecuzTVzqWnDic\nj8ZjyBIMYIiy8980ENFDRPQZInqciN6baPN9RHSZiB4jol9d9fgNBiDN42kwDhu2BYtyeFPYmmmd\neN7cp1n23Gvsbb5671m8tn8NAPC5wTkAwH/7+t8HEHifvX6zrwnzm4sERs2CWSz0cJsqTp5Ti275\nYDUtwlXUAWZcRq7jBO8z6YGs0PtkXkxKJKISwAcBvBXAFQCPEtFFZr4ctHkAwD8E8O3M/DwRnVt+\nxIvDOCyvO8ZhYDEe58jhFlTp0mUUIsWEh0PwkeM17e813hufdwoK9rjZF1O9BEMq9mTC9zdzHErY\n55R0+q4UakpUeo+5q30T2KtDfnC96QrKccXVLPos3hRMOTGsFU5K7HX+m4I3AXicmZ9g5gGADwN4\ne9Tm7wP4IDM/DwDMfHXlF2AwIM3jKTAOG7YGC3IYwGYUwK1RTqaBI7Pytf1reF2/L1vufn5y+Cpp\nGx8czG/O6kXOknkwD1LeZmSFu4XdIss86kNT8vyFEtWFv1q2+WTvc91wEeILWesXADwZbF8B8Oao\nzdcCABH9AYASwM8w828vcrLjgHEYWXJYz7kAj3eOwzH4aAC+ebOxj3rNnxXq4k3EoTj2BNHbzQ6b\n/bVT0LvkFr1/oh7juKlKY2zYp0n7OCltoxweVo33uSCfkeSXqBh1KyhLKUILYtFn8aYUwGyME0Oe\ncBHiSZqdIaJLwfbDzPzwHN33ADwA4C0A7gfw+0T0Dcz8wkKDNRgSmMBj47AhC0x5Fk+CVwABgIhU\nAbwctFm5Arg1xskinl2fnBVY8UhendXqPVQ/ny1Wa498DQo5pGXA+jz/cDypsc1SFMr3K6/xPKVs\n+6j4YT3XGVvsCm+xyyv3CyAKbFLvk2NzPBjzVEt9BfP21eQI8WvM/GDivacAvDrYvl/2hbgC4BPM\nPATwBSL6LNyD/tHFR7w4jMO7yWEdS4LHO8VhjxRfOoqusVfJ5Lv0/GuqY16VGDMq/31EKpkP2agz\nexrNwqFN+U65gyeqoDCa90i76FzA0a5S/QCKgWus7VQ1kXfdPv2FHctgyiZheYbrWBWmPIsnYSMK\noMWcGNYKt55Dr/PfFDwK4AEieg0R7QF4J4CLUZvfhPM4QURn4G6QJ1Z7BQZDmsdTYBw2bA0mcPgM\nEV0K/v3oAt2HCuC7APwLIrpzmfFujXIyK8ZiZlaBWaz79JXFLOdbnGU7PnI2WHnY9rDa8+fRdtcc\nfyvkWja7yk90ZTIE5/HehKzIRCNGeSQW+6jDTQnQv/oyAGB47rbA53R/qYGsC8nFYw4t9nXOdTII\nh9yf3jA+jnlERO8B8FG4i/oQMz9GRO8HcImZL8p730NElwGMAfwUM7cLL2wZjMM1cuCwO9f8PN5l\nDvvYjaoCdKVbvy94D0BxNEIMptgvjr5jn52mBwRqSr2r2UZVkShrrrEvjn+JR6HcHlW+pktdqr/7\noPKqzMCda/8W63VqJlr9Rj3E+DrWxeUJHJ6k/gEbUgCzM04MeWGZqoTM/AiAR6J97wv+ZgA/Lv8M\nhrVhUR4bhw3bgiWexV4BhDNK3gng3VGb34RTTP7lqhTAbIyT2iiXxaRAGLKzbA9kovBsz3lh3/96\nZ6z98qdkWqxwl0lBfn38qvPlfs4x8hKB0CJvmrRd3mbtzbYzGYA6W8EvQS7b5dEYJH/3rr7UeT5/\njpEbbP/qyxieu83tlEW2SOY4vYMST94Wc2Q9LDFvn1vJ5HXCONxGDhx2hxuPO8Hs+cFDp5DQ0ZF7\nfcrFRNI9Z1zbQlSEskAhyojX1aLvx9e/CXhDWhNFvwZVI2KlISw1kkz/0ZgWbu6X12LE/r7xHI5i\naPyrcLi8+oJXT1jXEYrvwa7snWPLnFzYwN6IAri1xsm0lVbHINxgV/zn2eoUAOALR2cBAL/8p+6B\nzq+4y9u76b79YlBLz8UQ8tp8sLYe/EHqmS8S5RnXeGk+4COJPQ640vNpMFUx0OCrCr1n3A+UPrgx\nkMGmCnD1AkF8UHW27QwuTEwPrFJOZCycSpw9jMO7wWHgZPM4hC/VPqmoWSmf0zkpwqbfY1Xzo9CZ\nHl2IzhsezakZ8iQk1GvWRdM30XfuX8v2dIo3EnxmcdMq9xxnRu/adffe2HGYD4/kOuK5ULmu3un6\nPHpP+PNPCJANg2ODsa2ay8tweBMK4NYaJ4bdADNhWBnNDHnDeGzIHblxePtGmjDI1cJVy+/y0QXc\nqFzp78eOLgAAboxd+WQeOSt171nXdu8Fd2z/OqN/w/VXHokE7b3QpuXcKhKEWk70xmec9qa7mWuv\nM1p63HuZ6nVKOlpDQhRLHVIWmkcj/RAanwntueul0bgRWAhgtuDC6FJnksbntOJPpBxuHN4pDrvD\nTiCPA7QCSFVh6PVAffkOS5m2ke/aq2Z+mq7mj1K01BR5VRi00B4F37GeUlSVSvpTIaXqR1OU8jWN\n+3Xafd2JKJBjPY+OSc/nXnvP3/RKj1f99FWVFJ3u3JMg09F4YnCsO19HgOySU46zIjcOb59xYtgp\nmBxu2AUYjw25IzcOb8Y46fIsIy/PB8PJUvGDG846/YU/+3YAwA+84Y/w2ZvnAQA3Kme5/7v/75sA\nAMV19wX0XnHH7r3kOt27zugdatCepjo2g/pa8/RcW7neQpegJm4F6tXw3qYuNa5ew0Dn56WBWOfl\nNQm6Gld+IS2IB+K9Tp2zlTnd0NulUwcAgtTMe253x+zp9TWDC7mo5zrXabEzCKOMboiZYRw+MRwG\ndpjHM8LHKvXkw7/XxZPQk0+jkO9Nv+PijC7BIJzSQFlVIqoKxUg+S+WfBsvG36OPkSKQKCa6zwfT\nxsqJvr8HjE41+VFz2r32pPK+Kimnrg59PzSWonI6blVMBoPm+YK/VQmMFZRkgOyYuguzhWNeUexJ\nbhw25cSwVjADw8pq/RnyhvHYkDty4/BmjZMgG6BecKnOSgBqz3FcOa9zdIf7cH/xT/+6n5fXyOfy\nBXc5B9dkfv4V9/YtT0u64vUxykMprKNe30gXb1LruI7WdmNkDM/e4o4Ro9pHlJeRxa7bFdeZE9q/\n9zrFuzgU0/3a8+FH4eY11ULXeftojrNeohv+WPVEw6wHoJ350Ji3T0S7rzJKPLd5zrlhHN55Drvu\nd5zHgMhX7k+vlChPeqJG7Dt+llqY7PwZn0pbaIxJVK7eq3PXnJpQ9Mo6o6fUbB3qfhVwWWB0zilp\nJeQ8EotU+ewZGaN0PTpFGEp2etVvqm/+PpDrOnihWYK+DM+v16GZSuNmYUGC64yDcfs4FG0TZe8k\ni7OtEblx2JQTw1rBIIyqfG4Ig6ELxmND7siNwxs1TihwonztBLFoe94DEktUoqxJi9hQr67zIHP6\npaSh33rFWal7191r/2XxOl8egMTro6F6nc158zrTQazkfg/9q5LvLu+Nztzqtgd1Dj5QW+EAfOlj\n0lfxHP15FWfucq/ifQK1t+nn6cfNY+o5SflMuOfb+KJWT7v5/9a8fXV8ljogUiLnIyXOC+Mwdp7D\nwO7zuAVVUDRDRmMmhD/VgRQFJPJKmtcvNFbjOeGDZPNoPRA+HAWKSTOOhOI6OMqPg/267ogoa+N7\nHYc1fgQu9AXjfXk9AAZ3unOOb9F4F+lW7sHRixrr4voUpqEYjEE3B42x+ewdvY6o3gkVY0BVFcns\nScWe+GOY61ora0ZuHDblxLBW5GatGwxdMB4bckduHD5e40SdtOamyy7QNPdRNFkczOkDQHlIfrsc\n6D7X6NQ18TJvyOtLzqQub7iGxY1BHTmu3qZaulX0WqinUM8vct99XFr9UttWdzkLvpI5UBqOvfdQ\nftnVsfDzlOpJavXEYTOrAeMx4loQ/vxaW4CanjGGI3Ah59Zc/N52kJABjDKy1qfCOHziOAzsFo9b\nSxWENFXlIsog0d806kWef6B0aMwJPydqgaoiUs7enz9U0ZSjqtzFMRgSm0KoecynnUSy9/whAGB8\nysV3DG53+8cHro+jOxnj0+6Yt7zx0+49uR79kf74pa9zw5BYlMFzUl/oxR56cq+QZhIVie9flZTx\nuL4HhnJde/Mverou5MZhU04MawUzYZBRVUKDoQvGY0PuyI3DWxFzAgZ8ALbsKzTiW7dHkUVdAeVA\nq/vJLsl3Lw/F45NsguK6LER1VHudreyBaE7cW/2jkbfqffT5KTepOTp7e/MYHfOwQvkVt+aRzrnz\nDUmo1yj1K192YzvnFsXiKCLcXVC395kTGMAoo/S1eWEc3n0OA7vPYw+vojQVFOWwxp6o+lICqKKf\nEbpwDgBQPOMUFF2ThkVB4ZinQCs7xysqfoG8IPtMFA2Q4/DhWfc63pOsOI05ubXCd7zxzwEAFw7c\nWF6z/wwA4PKN+wAAf+2NXwAAPPaJ18r1yfX3qK7Bk1JMMkNuHN5sETaVFwNJXOFVX1Wkh3VBKQAo\nRvWDvSdlvA+eEen7SGTvm+6JT/owH478DRIsEds8kW6rvNjruX/BMdpf7xkXsOcl8TDYSYMRbzrp\nsbrhao6T9EX7+0gikOEnwkuwJUgl8C2SEQGd58znhpgZxuETw2FgN3ncNb0T0RpxarFvoQXDxtS2\nK56TKcPU4oAVewOFNLXWn09T66N03YKAvuOFTjdqYPbBNXfPDG49kPf1PPUK4F+17wztB/a/AgB4\nuXJtP3/9bPcY54GMmcqyvjf6xuFlkc9IDXmC3Txn179pIKKHiOgzRPQ4Eb13Qru/S0RMRA+udOwG\ngyLB42kwDhu2BgtyeFM4VuXEL7dNXjus39M/IodLgwjjoMJixN7r1DLe6m2Wr0iAnpbQDmVElaSr\nqMNQpwQaHp1a7Lwv1rDIfKO7b01dag31HjTYTyxrn2LZhSLhPejY46Cxgvx1sXifuniaTw31AWfT\nh7xKLColElEJ4IMA3grgCoBHiegiM1+O2t0G4B8A+MTyo51hXMbhE8dhYDEebyuHZ4HPbk0EyPoF\n+gqqVZUy+p7iNHKdJun3/CKBSfhpHfmJCjl8IItj9h1PDs/ItvLeL8lQd1fJuJ8YuCmnT79yrzt2\nvMBPoA/SjadRqU6RFvVvLCnEfjos4j0TIVZc14XcpnXyGakhSzAI46ro/DcFbwLwODM/wcwDAB8G\n8PaOdv8IwM8COFztyA2GGikeT4Fx2LA1WJDDADajAG4k5qTlfQK1V5mYptRjQq+zLq9dB/GF/fpA\npsDT9Ja4ois4C6g9hl6v9vKkHy1g5TNFJb1Oy3x3mXzeY5TXUoIIq6vXmu9XVe1h6BLkWsRL21D3\ndhfGslhW1Wum6nERjD86fJU1gZgXTl+7AODJYPsKgDeHDYjomwG8mpl/i4h+avFRzg/j8MnhMLAw\nj7eaw4pG7EkrRz6xHX7uccl5+c7pQBYEVKVBeToateOi4sDpqLw97e/XiwDKe0dnTsm2azqWWm+a\nkMIlo180742Xx+6Yp2+6QPDPX/oqAMDpp1zfvZu6qGWg+EVc9vFbiSDeLmjxNa+geJUpecjKseiz\neFMKoCknhjVjonJyhoguBf9+dOZeiQoAPwfgJ9Y1coOhRtLrNA4bMsHCyslGFMANpxLPkGYYeaP1\ncvDBXL5g+CopzvOMWy2ND2R+XQviNPrVTIeo0FO84FS/VxeDiqx7bw2LFVyOAw9CrW3JaOAo/XP8\nJRc1Xt533r3/gsuaoL1+XchHvQeNbO/3mvv9HG5/eoaDj7oPrvMYrHYGJt0A15g5Jf89BeDVwfb9\nsk9xG4CvB/AxSZM9D+AiEb2NmS8tNeg5YBzefQ4DE3mcPYcnoRV7UjTVPy6pXhRQVYFzdwCoM8H8\nd65FA4fD9nmi+8grhvq6v1fHS0UY91VRcduVKCgogJ4M9ItHrmDghX1XUv++0y8CAA4f/CIA4PNw\nCsrey66v0ekSvf0oe0wzcTSjKM6O6/cmZ7Ah/Dzhx6wqafxe65glMeVZPAkbUQDzqchiyBNcV2Wc\nE48CeICIXgP3QH8ngHf7bplfBHBGt4noYwB+clse6oYdw2I8Ng4btgdpDp8hopBzDzPzw7N2GyiA\nP7TcAJvYXuMkdki5vd9byroolViyw7tPNw7duype6KkOq3YYZRzEJbOZMdRF0tS612XEU8uK75XA\nBffMKa+4oj+FzlOKR0nnzzQv5z4XRU7PvVhHpYuHQWOZs90XlyCep+/32hkOWq9ilgyHWZ+5C9gY\nGoQ193HMIyJ6D4CPwuWffIiZHyOi9wO4xMwX5x/NMcM4vBMcBhbjcW4cZkKrpH0y1sTHMEW1cQAU\n8n3FBf5USfFF1AJQvDBkP4rrIPIcVo5yRHMPVSYHhP/wZ68DAHzPX3sMAPD0kRvTkQSmfPax+92Q\nJClucJvr+5angWrPtSmEl752iQo4GnemsWS9WqGcKUvHX3ziOlaMCRyepP4BG1IAt9c4MewMqgVX\nkWXmRwA8Eu17X6LtWxY6icEwIxbhsXHYsE1Y8Fm8EQVw+4yTyNtsZT4ElrtOtWuZcC39XWk2gURc\nD87e0jqNxgr0ZW5fMexoq1ZvJXn1HHsP8qJZBQ2r+H6pQDjWMtDNLA/1DrXqIe67G+U1mauNPFXs\na35/O1o89jbHMl/aleGg17DuDAfAORcLznPmC+PwTnEYODk8nrgoIBDUp6kb1GFTTe6QfI+FZKCN\n7rkjed7e1Zca2151CWJeVDEZHQgv+s0vWyvD9iQck18oMJD76//61BvcHzpY+ZEuB5Kl84psS6Xm\nwW0l9p6TtsrVvWaNIB8vpWokM0YSb6PZb5VyeINZOopFObwpBXD7jBPDzmFR5cRg2CYYjw25IycV\nOx/jJDLYmVBXKRRrVD93taDHuuZBxzIfas3HXmZVaj56OCfYnOP0XmWUPUBF4HaQ+2irPZmv9JkV\n8UCiyxxW4HvvAlB7Ez5KXc47vCdarA1pb7OKItlBx2u5My8Wc7KTMA5nyWHg5PF4PgWlyV2NZ/KL\nTPrt9uendX2Gkari74c9jU0KFDTlRdkkQCHiXM8tAYWqJPRfkHvhut5ozesqj1Qxke2B9sUY3OlU\nvvJlefNAVxR0N6eqO/V9wUnFpKX+BffhurN0fH+ZcXh7jJNERmZ8k3DwXPJStRysD1bN9CJ9mIUl\nxn2l72ZRnPh8vmQ2Ahm56H4o+jEFZZNZC/YEaaOucaz5N29k6hW+ANDw/B2NNnHBrGqvHrv/LBIP\n9C5JfN1BhH5sJ8XjNA671x3kMHCCeBwg/oGMJ3VQ1D+uPkVe+amLA/rS90E/aiR4wyU6sfRZB5R2\n/LBHv7NqnBSywGbvBoGqJmcaq4gHx5SHzW1w3XZ0tyvc5qc11eiKpkoDOy1tlGiBuA0Y2EBeHN4e\n48Swk2CYHG7IH8ZjQ+7IjcP5GSeBvOit+CLYCYDF5KWOktjeui+a24rYw2xY53qaIEjL7eDG+xWR\nb9Qq0sUJT0H3j7kOmooluKJphVe92vpujXuStxmMtbFvHeC8rPVjgXE4Lw4DJ4PHE5YQUPjPmdtq\niH5PsTrRuZyDKheqzqVUx5AL1Nznh+2LG7o/Cg1yBaMYJRQKPUbUEJ3O0W13Hveq04z+vWiqqwoU\nyjjtfZpi0qX+rY3LmXE4P+PEkBkoqxvCYOiG8diQO/Li8GaNkxkqf088PDKKOf4jtvKDfbGV30pJ\nDEtkx/1HfdUT6cGxWpin1XHURexllACPEwTyY29eQ6dnvApvcxU8zsxanxvG4d3nMLCbPJ6glEz/\nXOW7QVsZiUvRd30JnrNlk3exStcVm5EqxlcvqBnsGzUVwRZ3o2PCdQJ9QLke22uO1cPzM1RQZF8q\nAL2Dy2tHZhw25cSwfqxdczcYjgHGY0PuyIjDmzFOZvA2U8vOdx07Le2NAvOUwZ1t6hNTo88uyzbt\nfbYbtXyIhJfhPYmC6gyNBFqLRwVzsK33EtdxrBztSIPNHsbhutlJ4DCwOzxOKCaNzzP1WXdxqaWk\ndfMv7L+1CKZ+tpPiVFpjiW6AKPakHLbjU+pO9DyagdPc72Kg3LGV1gtMfP+1QhmOMTrvDIrJsfA5\nIw6bcmJYLzKTEg2GThiPDbkjMw4fr3GyiLeZmt+e4TzJugyNDiMr3+9He/+U77WOF5jQtnV9Te+U\nOGjiMyimeDqT5uAX8TZXzd+MboipMA6fTA4Du8XjAF38qJc3iPe3Y0DqjqLtVnxR3XesmBRaQ0Ri\nlWJlxR04+cbx94oeQ7WKkkR0n4X3ZhyzFce6xMs4zKVQTmqzTmTEYVNODOsFp+VQgyEbGI8NuSMz\nDm+NcZLyNmfKmU/1qVZzcGxrHhSRZzeHt9mKE5jSPhhKq213xsVkK3chj3gS1mJUU1bW+jIwDnec\ndyc4LB3vGI+7vPpYMYlrzlRl3bbxCiRVxUpWLtDMnIZyIopJMXTv+awZybLxlK7qjZir1LxFWnFb\nE5EYM1NHGFaL59Q6poVVcHplyIvD+RTaN+SLKvFvCojoISL6DBE9TkTv7Xj/x4noMhF9koh+h4j+\nyopHbjDUMA4bcscCHN4UtkI5aVjC8Rygj6JuZgQ0LN6Wids81q/5UbU9AsRzqnGXM8wRzmL9TrPm\nOXEN3Z2l31rIEl+nMc3w61vMAyIqAXwQwFsBXAHwKBFdZObLQbP/BOBBZr5BRD8G4B8DeMcKRj03\njMM7zGFgIR5vK4cnxSZ5bunCe6qYiPrh14rpWN+GgliPEHrseK8+RtvGC+/hqKkCFkGdEr9mj55m\nWiwXp7mUzqTreCO+VxKHzsLBjWbyLvgs3hQ2apzM8kAPH8rh9lwPdpUIK27LlL7Qjhys74d9Rw/l\nVNGrSZjWdi4pcsY+p+KYeLrgPOebADzOzE8AABF9GMDbAfgHOzP/XtD+4wB+YPFRLgbjcDDWHeYw\nsBCPt5vD0fQfFxOMkj23f3TQ3M9ByriupM3RYpW6PTotAaR9Bsk0Tu9GHEwa3wiRkYLpRkpoYNCs\nBOkwShaZ8kz1sS3IKebEpnUM6wXDzXN2/ZuMCwCeDLavyL4UfhjAv19usAZDAikeT4Zx2LA9WIzD\nADYzPbkV0zrh8tQpb1OXwfYeZJjylbJwBbp8ezGuUMlCU+N996rKeBVb7PUbLbk89j4nXtqshvtx\nWdgbsOQnWOtniOhSsP0wMz88d/9EPwDgQQDfOf/oVgTj8E5zGEjyOD8OdygmgFNNYsVkvE/y6rZH\nt8irqCBVvyaQBrWG+0JUtzpppTg9wviG/vToa2KuKVBQvHqSCizvmpKZkn48C7ZN/VgGiygnm5qe\n3A7jxLDbSN8Q15j5wcR7TwF4dbB9v+xrgIi+G8BPA/hOZj6K3zcYVoZuHhuHDfkgoyn2jRgnXamV\ns3qb5VHtQSrUkwz3daH/zCtteEFVAAAgAElEQVQYnhXTXx4BY5nZ0vmtLu+zFWA48SxoOAGtUt/H\nbYVv2OqnxYOwHgXwABG9Bu6B/k4A7270TfRNAP45gIeY+eqyY50HxuFjxBZ4rgvyeKs5HC8dwMXs\nisnoLpfzW95Sr7I3eqXX2BeLFsrPd339JfzrTzl7rj56uoKin/+0wmqrVAN3CUs8i7umJ988of1K\npidNOTGsHYtIicw8IqL3APgogBLAh5j5MSJ6P4BLzHwRwD8BcCuAXycX3f9FZn7bygZuMASYl8fG\nYcO2YZ1Tk8Bqpye3wzhh1GmWM3qb/Wde8YerJxnu68Rw5NskvU+xuhveZ5T9MNX27EphWyJLYiZs\nqyfAixknAMDMjwB4JNr3vuDv715qbKuEcXh5bCuHgYV5vI0c9rEm+nlraFJZpwrPqpi88w31b9qH\nH3uwta8L9+69gHd9vWvjFRSvdrifJPKDdC/FaALfJqXox0jEWp0IJSXN4UlTk8CGpie3wzgx7DYy\nSl8zGJIwHhtyx2Ic3sj05NYYJ3Wmw4ze5mjsj4330WDYfRL2hb7T3qdkQPgl34nA1M6u0PfSF9R8\nTWVJbGXBqRVjnnLtOcM4PAcy4zCwuzz2318BsPwiaOzJNMXk/r3nfD/xvtfudf9G3V4c4o/x1QCA\nd7zhjwEAH3nsW9x5pA3JT1Mx0LorhDKqU9+qHzRJOYk5HO0/KUrKIhze1PTk1hgnhh3FEtM6BsPW\nwHhsyB2ZTbEfq3GSKjdMjNqkjXLYU94mHQ3qjgZqFstB6nXG4eJE3tr23ufV6wCA4ZlbAdTVNnXp\nbi7SFnm9ZHb7WuuS4tTYXsr7zNWa36GHunH4hHIY2CkeA2grYxTEo/h6J6L+JRSTNx580XenSsnt\nxaFr07sJADiI1LlDZowP/rKxzyson3IKSvWS+2nSGizEHGTDuddirNuxolL368vr+2ulxnbMZb/Z\nFXO1C8iIw6acGNYKgnmchvxhPDbkjtw4nJ1x4ufiB0Nw5T5pmeMCa9R2tI1xPbfvDeihM6m5FywO\ngS7PmAHxQNXLpDEmgougdkAZ5UeswvvMCSaHt2AczhDG4wZUJbm/dxO3FY5/Q3aKSZ8K2abG9h3F\nKX98Baf2vSz9fPHobgAAyzFFpIJQVSskxVheNRtuHCknAQ/JK0HyR6mqo9wPaByat7I3DZlxODvj\nxJAfcrohDIYUjMeG3JETh7MzTnjPhZETcyujgfZlTW5qeokI2/VkLrM/+dL9XDyT/1vXdvBeZ2Ld\nBi6onrNNrLI5yfvcKc+Tp3vpJw3G4QxhPG7gicE5AC6+RGNLFI8PHYdfqg58GwC4v+fUkgrAk6PT\nAIDPHZ1vdqxkiuJLaFx//sphVU6KYXOZ4jqOisBSt6X+TZ5dQdk5JTAzDh+rcRIvbhYWAaLg7/A9\nLesdF6li7Hnp2/cvD32ozD10QVxhO/9AlzYaRKgkjolI4yBlTeTDUhZho1H3g73qF9MXZZvygO8E\nz9BmC5GTtT4NxmE38saFngAOA7vFYwCdAdw+wFsNAVnMT0vTdxVaeylKGVbD5crgVQBc0TUAeCFo\np0bJlcFdAIBf/+Q3u6FoCXyJFS/0ddQ2SsojWUhQXlvGSVlgDHeP1Es7KLqNlBx5OQ9y4nB2yokh\nMzCyihA3GDphPDbkjsw4vDXGSb18t3h/MjItya0FpkLvMw4EVLQ81FD+Fqs69jbHe0Xj/Aoas/c6\ntZgWjTQ19Hr3+c/d5v9OLcrGseu9oxY7oR2guaswDnd2tRPYZR7766oAkipohcwi9m7ol+r4p0XS\nQgVFFZIYWppeS9V/eXCnO00g7f36n4licsP1v/esux/61yWY9obyllEO5O9D4bBM5/SuvuS2fUqx\nex3dcwdKv7TDZAVF79VGnbcdC/TOjcNbY5wYdhc5SYkGQwrGY0PuyInD22GcEPyEPUsOmRaSUks3\n5X12IZ7jb77pXry3uV/KeWV/0QxELMaMYpDwNiW9kyQuQL3b/rXr3qtV6PjJFxWKqgCF6W87YqkD\nyC59bWEYh3eXw8BO8TguyKcx0cUYYL/kQvzFTVZQulCJGqIKSgN6blVMnhPF5BVRTF5SlUTOesTo\n3ZRlIITL/adFMRHuQosa9l3cVu/pFzE6e7vrR06rCgqpuhkUeQNcEO3OIjMOb4dxYthp5HRDGAwp\nGI8NuSMnDm/EOImnqBmo3csoIyDlfVa+LnG6/1abMG1SvVxNl+xF8/TqGlSc9jYPnaXOQzdBS1Km\nnOE8T6BdUrxO5UgOf+eQ0w0xK4zDOFEcBnaQx77Qmf5BPtYknVbVVFCq690xUwDQk0wfbdOId5C/\n+9Kmp4qJ0FNjRXpHdayUZufEigkfSuMjDTARlXB/D71nXFtVUKiv8mLGaWNLICcOp5+OBsMqoBHi\nXf+mgIgeIqLPENHjRPTejvf3iegj8v4niOirVzl0g8EjxeMpMA4btgYLcnhT2I5pHQqcsCnep18G\nfpLX1qqoI7uroFZEtCAUR0Wv/Nxj0bas6ci5F+ptaoEsb4uXxdQCWScFhMWsdSIqAXwQwFsBXAHw\nKBFdZObLQbMfBvA8M38NEb0TwM8CeMfSg14ExuGdxiI83loOq1Ci21X9RtFSEroVhmKgql1aedBa\nKb5NKPpF9VQ0tqRUpWTQUTTQl6mXV40xUe7Kq791CgIlsuFOIhZ9Fm8KppwY1gt2snHXvyl4E4DH\nmfkJZh4A+DCAt0dt3g7gF+Xv3wDwtyiuamYwrAIJHk+BcdiwPViMwxvDRl2jRrXN2LiOvE+tqaBR\n1ot4nROhx+gCaQ0zP/Gs8Hn1VXPb0MCC1voFAE8G21cAvDnVhplHRPQigLsBXFvojAvAOHxysACP\nt5vDnQqKKBYJBYXGzbogk7KxUhlbxMG55TP1NUwkbKSQeCmtaEwVB1lGkYIi8VOscVSVKX4pLKqc\nENFDAH4eLvHpF5j5A9H7+wB+CcC3AHgWwDuY+S+WGaspJ4a1w60o2v4H4AwRXQr+/eiGh2owJGEc\nNuSOBIcnH1NPT34vgNcDeBcRvT5q5qcnAfwvcNOTS2ErTMywLkLS+xTz2zeb4ODF659MPjk328YJ\nCV2eQcccviGBybn115g5VSjhKQCvDrbvl31dba4QUQ/AHXBW+7HDOLzjSPM4Ow63FI1QQQniT4Ba\nQaljROSPYdTHhPN0IlJOCl+Ztq7N484XnJdrFWUSWNtNbHUCsXidEz89CQBEpNOTYezU2wH8jPz9\nGwD+NyIi5sTKojNgK4wToONhHD/gU3FaM/TZ/ab263M2O08zF+yB3wKhftDMiUcBPEBEr4F7gL8T\nwLujNhcB/CCAPwTw9wD87jI3w7IwDu8uFuTxVnO4y0jpCpING5VVdAxhJh53nReoDQ2/0KA3RrSt\nnj84j19t26Yg58ESz+KNTE9ujXFi2FEwFlqmWwj+HgAfhZvn/BAzP0ZE7wdwiZkvAvg/AfwyET0O\n4Dm4h7/BsHoswGPjsGGrkObwGSK6FGw/zMwPH8+g0jhe42SGIL9W8NSM7Sai63zq5c4jc5lXuRAW\nDcJi5kcAPBLte1/w9yGA/2KZsc0N4/CJxSI83koOR2goKIk04zo9PXo/pNOMTnlTOWke65UUVUWq\n8Lg5vX4L7m5hgalJYEPTkxYQa1gvFk8lNhi2B5mlYRoMLSzOYT89SUR7cOrexaiNTk8CK5qe3My0\nzhxpkinvcq6ln7v6aAUPNtM9Z4J5oVORW+GfmWEcPlHYWR4HIE4EyQbbywQ0dZWvj9ODYyWlPjbN\naYs9mQ2LcnhT05MWc2JYL9g8TMMOwHhsyB1LcHgT05ObNU4WmK/0zRe04OfyVmdFKQtbWWHHTuy0\nx2kcPjHYGR6r0tDxXcfciqnW4t6SMSetNPgoxbjRNvHD6jmryzcYh5PIicOmnBjWC0a9JobBkCuM\nx4bckRmHt8c4WaRc94agC6Lp8vLeA+n1Gu8bHE6MHG4c3mnsHI8nKCiKlEoXx6bMckzXuWPFpH5/\nwrYe2++7TS1br+/vuf20vzfDQE4WcuKwPYEM68XiVQkNhu2B8diQOzLj8PYZJ8miEGs6T8ozKPSV\nUPXdxvDMrQCA/rXrjUNp6N733ma/59vqsRxnRZyQaVFCUPL6pMA4vHPYaR6H2S4zxmssFPc0T1ZN\nNAwuCNx3cVGjc3cAAHpXX3RNDw5cG3I89YpJr/RtuVc0+z2BcSm5cXj7jBPDboHzkhINhk4Yjw25\nIzMO52OcLFtNU9+K1j9prBEB+LJ06iVyDxhHtepa3mc0Pz88c6v3Nsf74nX2pL9Sa1Gg8zX+O39Y\nCqaHcThjnBAex+rGMgrDBKVkmvJSq37y2iOM4ZSTUvptKSi9U40+Rufu8IpJte+OrVVAHYj0fyKU\nlLw4nI9xMg8WCUyMC1mV7uAK5B/rqQd8jKpftB7oVV/69TdFXAd6jjHmBAZolNFE57bAOLxdOKk8\nPu4CZ5GhrYZwhbqcuRoauq1GSgzuFS2jpFIDWw33MjomNvSxQ4Z2ZhzeTePEsFXIyVo3GFIwHhty\nR04c3m3jZBbvk6ImRfQGGJX8HXuf6knG4IKS3qa32HW7w1LfKWSWW791MA5vB4zHK0U8Ndl+XxqU\ndd382uePloTbi+QPBU1QTHrReXaZu4rMOLzbxolh4yAwqMpHSjQYumA8NuSO3Dh8Yo2TluU+0fus\n5+4BgFqeaUf/5WLe5s7Mbyoys9ZzgnH4GGE8Xi8i7taaX6CgCLEqVT0KUUxScTFEbe4mFJOdjjVR\nZMbhYnoTg2E5UFV1/luqT6JXEdH/TUSfk9e7Otq8kYj+kIgeI6JPEtE7ljqp4UTDOGzIHavm8Dpx\nMowTQtJBZIosZGmr+7mQ+feCUPWc1V71yf3rJf71CVUJVGV9rOsnOF80ptY4Zhz/1oMZqKruf8vh\nvQB+h5kfAPA7sh3jBoD/ipnfAOAhAP+MiO5c9sQbgXF4s0jxeDmcLA53YBp3620C95zywSWBy5Cr\nRfe/Hvm2/lgip5okzrPTWA+H14aTYZwYNgoac+e/JfF2AL8of/8igP88bsDMn2Xmz8nfXwJwFcDZ\nZU9sOJkwDhtyxxo4vDac2JiTGBPn74uo0QzfZzyHudD8/C5Y8gxgvBbr/B5m/rL8/RUA90xqTERv\nArAH4PPrGMw2wDi8RqyHx8bhFDpiUDT+RONGaIYaLK3ialO4XB8380jzwRo4TESvAvARAF8N4C8A\nfB8zPx+1eSOA/wPA7QDGAP4nZv7ItL7NODGsGTxJOjxDRJeC7YeZ+WHdIKL/AOB8x3E/3TgDMxOl\na04S0b0AfhnADzLz9uqYhi1GksfGYUMmmPgsXhQ6NfkBInqvbP+PURudmvwcEd0H4I+J6KPM/MKk\njk+WcVInLSTR5X36Q2apORH10zj3pPd3FZOt9WvM/GDyUObvTr1HRE8T0b3M/GV5cF9NtLsdwG8B\n+Glm/vjsA99SGIc3gzSPjcMrQLLuSaigRG3mKTk/jcvJdruE9ah/bwfwFvn7FwF8DJFxwsyfDf7+\nEhHp1ORE48RiTgxrBgPVuPvfcrgI4Afl7x8E8O/iBkS0B+DfAvglZv6NZU9oOMlI8Hg5GIcNx4i1\ncHhtU5MnSzkBZvYcG5b8Cj3GmY7dJet9fTEnHwDwa0T0wwD+EsD3AQARPQjgv2HmH5F9fwPA3UT0\nQ3LcDzHzn6xjQMcG4/DxYz08PrkcTmCaggLMJPq1MYWPO62YKNIc3sqpyZNnnCjmfMA3Dl1EEp8V\nO3eTrGWeE8z8LIC/1bH/EoAfkb//FYB/tfKTbwuMw8eI1fPYOJxGzL0GX1fArxNhjLSQ5PBWTk3a\ntI5hvWAAo1H3P4MhF6R4bDDkgvVweG1TkydXOVHEFvQ6PcpZzr9rYAaPl57XNEyCcXj9MB5vFCFf\nZ1H9Jh1/YrEeDq9tatKME8P6sZ6YE4PheGE8NuSOFXN4nVOTZpzEmCPVciXn2XUwA+ZxHi+Mw6uH\n8XhrYCrIgsiMw2acGNYMk8MNuwDjsSF35MXhYzVO/uiXfsJs3pMGRlbW+jQYh08odojHf/iRnzQO\nn0RkxmFTTgxrBVsgoWEHYDw25I7cOEw8w+JJBsOiIKLfBnAm8fY1Zn7oOMdjMCyCCTw2DhuyQG4c\nNuPEYDAYDAbDVsGKsBkMBoPBYNgqmHFiMBgMBoNhq2DGicFgMBgMhq2CGScGg8FgMBi2CmacGAwG\ng8Fg2CqYcWIwGAwGg2GrYMaJwWAwGAyGrYIZJwaDwWAwGLYKZpwYDAaDwWDYKphxYjAYDAaDYatg\nxonBYDAYDIatghknBoPBYDAYtgpmnBgMBoPBYNgqmHFiMBgMBoNhq2DGicFgMBgMhq2CGScGg8Fg\nMBi2CmacGAwGg8Fg2CqYcWIwGAwGg2GrYMaJwWAwGAyGrYIZJwaDwWAwGLYKZpwYDAaDwWDYKphx\nYjAYDAaDYatgxonBYDAYDIatQm/TAzDsNv72d93Czz437nzvjz959FFmfuiYh2QwzI0Uj43DhlyQ\nG4fNODGsFdeeG+E//vaFzvcO7vvCmWMejsGwEFI8Ng4bckFuHDbjxLBWMIARupUTgyEXGI8NuSM3\nDh+rcfKm//KfMgAQd7wZ7fNtON7uOjgCkWtKuo3mdrCvNYzE/k2g83OaEcd9HX/0yz/ReUYGY8jV\n8Q5mjXjz9y/CYY62o/fDLlKcjTkdtEn2sS4s0P8iY5rK/yXujy584le6OexOtTs8/uvv/qfdn1yw\ndxHutrqbwOUWH5bg7CRuLfMM3TbMcg/tEoe3QznpvClku5Kbo+p+vwF/E8ibEu7LBfm3/RfMzWM2\nhXXdPHG/mzK6GMAQ+dwQC6ODwzF3Y053wdNTOaucLpTTNJXDev6Vf+dT+pt4vqQhJdfZ4XTEe1r3\nCnU0WhN2msczGCX++avcjfY3upPnbs1d+UOfx2AQImN7iefx2viewjycW+GYlr3O3Di8HcaJYWfB\nAIazqF0GwxbDeGzIHblx+FiNk0kqQUoxKcbNbRpp+w5PS6VvuSoWE7PynVJtvSesz3Vb4QspJYsc\nc1ze9BQwMwYZ3RDTMAuHW2pfzN1xJJUH0O+HS3n1d2jgYhar8zpnwqzTRxPOr/dm5xQr4Hzp+BkQ\nEd9fZrg7/gzWhF3jcReIkVZMhLPFSN6IlewA/ruVZ20Vc7hw6onbs14ua79zP3dniR6YdO2pfjao\n1OfGYVNODGsFgzDc9NyZwbAkjMeG3JEbhzdrnITBVVMUk2LQtNzVkm90V4pSUsnrnttfyBdSlexN\n25bDtWalYRXBfXMFoR13PEJqPACG2xRlvGo0ODxZMSmGlbxy4/1Gd6KKVH1V/cT97IVfaB1/AqxR\nBZxTMYnVkUbbVlBkR79xsGWlB+khHG4eq4Kykzzu+KymKSYkr+WgknZpDo/3HHe10mcd7UCN+BO3\na8Of7Syqvm87IWbMk7N5PatUhogXu6dz4/DWKCepwKvYKCmPnNVCw3ZgD5fC+FNlY78aKUSUlJWn\njWueY1LHNxDtnyv7w7/fcWPHPwbx/qCv4+CpuyFORiHi1rREwigpD90bxaCd1lf1lbt6a1byf22k\neCMg/v6nGKTAct9529Donqrhoj2GWOrnaHqVuL73NaHAd6+3eqWORW2kdAbJ6psrxKI8JqKHAPw8\ngBLALzDzBzrafB+An5HT/Ckzv3upwc47Rs9bbjuJCaOkOHTcLYaTOOwwRmSkUJs7LUN6Q9M7jfcT\nRshMSRnRm6uevlrE8cjtWZzPSA1ZogJhgLLzn8GQC1I8ngQiKgF8EMD3Ang9gHcR0eujNg8A+IcA\nvp2Z3wDgv1/PFRhOOhbhsIKIHiKizxDR40T03kSb7yOiy0T0GBH96rLj3Q7lpCsQS73OhGLS//IL\nrW6G997p2t6UHaKg+LTMwgUFuZ2zTe+EmGZ1z2Sdp9SQWNIGWpZ7qi0TtxWTYvr1HccUT27W+sLo\n8Dq9JJ5QTMqnrrX7udAs1kjc5DCXdeBoPL0xy/e4SIp5K3g1Vkw08FGfc0VbGfHH9qjZNozz1anc\nkXrtiQEFCkrnFM8asCCP3wTgcWZ+AgCI6MMA3g7gctDm7wP4IDM/DwDMfHX50S6OliogqlVKMZmF\nw4oxuS+dCvcvPM/GZhvi5274O5TgVF3WIr4Rg3ujqPe5JtJvl4JyrFPsC6l/amS/FcAVAI8S0UVm\nvhy0CY3s54no3LLj3Q7jxLCzYBCGbDQz5I0FeXwBwJPB9hUAb47afC0AENEfwE39/Awz//ai4zQY\nUljiWbwRI3v7fjW8Jdv0PluKyXAEPhq49/b3Gu8Nz98pxxaNvsBtrzN1fo85rNqlFJOqbbG3Y0zc\ni0/nC1D1Iotd5+VnUFDWCWbC4S4aJx3fUfx9xanFsWLCw2GLw94TFe+T94qoL/g046RiMmEuvLU7\n1UdX+5Y6516rKO256lGdPhr1o/urfrMPqmqlpDxqsjX29SbO+cdjXZGiMoHHZ4joUrD9MDM/PEfX\nPQAPAHgLgPsB/D4RfQMzt6XhNaPB5ShV2HN42MHhm4euzamDxnsxh2slmNrfiz7vU7EZjYHOfk0x\npqnbjdjH6LfIt1GFT5MywsvSe0FeqzJ+/iauc0HMo5ou8SzeiJG9g78ahm0CgzBY0DjJIZjQcDIw\ngcfXmPnBxGFPAXh1sH2/7AtxBcAnmHkI4AtE9Fk4Y+XRJYdsMDQwgcPLGtjAGozsbI0TPhqADw8b\n+6ifuJwOK7k1bx8fMovnNclaTSkluu1LmnNjuxizt8xT5/YR9FWgjkhbTUGNB+JLSHfMda4z9sTN\nc84f/Lqpec7jBB8NUL1yAwBQVJKa2VdJIQ4OCb6kWDmIvM7WeYLs4xYmfOet7ByNe0koJuM9SSHd\nbysjvk85ZnyaG30UY6C8kZJvxGvXj8BfN01OL253sTAW5PGjAB4gotfAGSXvBBAbz78J4F0A/iUR\nnYHzQJ9YbrTHB755iEqUEx9m0fNVMN1rnFjJHX/77ynN5bkzXcL3p33/cRmA4DncSpdWBXtYNY4B\nAVXffQqVnLyA8jx6/nb0t241ewKHJxnYwIaM7BMQqWjYJHSes+vfFPh5TmYeANB5zhBbFUxo2F2k\neDzxGOYRgPcA+CiATwP4NWZ+jIjeT0Rvk2YfBfAsEV0G8HsAfoqZn13jpRhOKBbhsMAb2US0B2dk\nX4za/CacaoJVGdnZKicAgCoyyX2kdSSLBLEaFUXmt3qDUdedBZ4izOKMpTJsUiXOiyH7bIXUvKi3\n2OWV+wUQpYR5BSX2NiaoJOtQUCoQBgsoJzgJwYRVBcSrhMaKSVQMi0oOFlvrLmgSf39NLnfP6fvN\nju+eo2N8Jo6qIIFiAgDjU8BIlZHEE2Z8q7ilB+51fFii5nBzEKTF2OQz8B9Zgc7aJ8Dqs3cW5TEz\nPwLgkWjf+4K/GcCPy788MeNKt7NxWPtsczlWU5Lxc1Hdna4m02IAixHXxRLjgp/aRmLIipHUIuqF\nvn5TQfE/Ox3ZO6tc/HASluDwiIjUyC4BfEiNbACXmPmivPc9YmSPsQIjO2/jxLD1YMYk63xnggkN\nu40pPDYYth7LcHgTRnY+d9skyzBhuWttFLVEx1T4/Hq/VLsqGNpVZ5ZCZLFPmD5MjbeRjQO0y0MH\nVnp5JMrIaLJH0r/6MgBgeO62QDfRVA73MtZYk476LseRueOkxKS1fiKCCbsWqfTw34t4itE8vdZG\n8bdqQf77ai2oFotlnVyOpBJVRZo9uWMT2Tk+E0EUE63APD7lXkenGcM75N471a4gGuJvvu4zAIDf\n/fTXYej3uhMUw2ZNFNL4lDCrZJbMneAaFo09mcLjk4eQ01M4XBxp0aoODktskl+qYFLWWKwMxiXv\nY8UkeLulTmiWWERPH19SAYXWdokrOUcc6n3F+UIjyRJtNC0k207js1r1tXhlmTvTkBuHLebEsFbo\nDdH1bwo2Ms9pMHQhxWODIRfkxuF8lBOFt9Kr+u+xmOhSM6L31HNu9/m7XFOtStkjUNGMovZZLIKu\n9ae45W1OaByNs13PxL3Ga1YUoqCUR2O/r3f1pYnnoZGz6PtXX8bw3G1uX79ZmpNa4ktw3Ym5zlXG\nnrgI8flptql5zlWg/ZlHiDxNAOCh8y7p6AgAUDz5Fbf/gktA0u+VRkWbwwmFw399oQcZZ23plx3H\nXoWOcRxjoosSitc7OpDXU+6g0e0VcOA+hLe87rONSy8it/PM/nUATkH53U9/nev3etno36+NFbm/\nBQcfofdI1xN7siiPdw6pLDIAPJYq3srhKy4+ne+TeicSk0G9ApDsFVWMPccid5ka6odsxNVXUzEn\nBaXjr1Qh0W0Rd/TeLQeVV7X1OdzO2pFteQ73vvKCV0+qvbLRnyo0m8zeyY3D+Yx0FpSOEON7HEF0\nlWIFcW0U+JkgLxUmArMQ3DBxSmVstISIp2/ihbSUrLoonK7yOa7Qe8ZN16jxgWGqjregV1u/2l9s\ndHUGyK4hADbGMlLizgUTTpre0e9LOMznz7rtaFE/qrj+jkUKby2ip302JHE026rMXDR/8P04gh9+\n7TcuoKZGyTg0SgDwwRjfIUbJmT1nfHzV/nPSfbfldu3oVv+3BssW4+kBsvEigTNN7yxgsOQmia8M\nkzibgqQS8713u9eiaXE0OKxFyiZMyei2T2HXgpPRs9vzVPrkssPY8c9jMY64aRyFBkj/muMuqfN7\neCSDjKev5JneP+2P9VNB/jrSAbKrLsyWQm4c3i3jxLB1YM7rhjAYumA8NuSO3Dicn3Gi0yX9PrAv\nFu2euHIiK/qUwz01pd1LMahasna9lHt30KtrW1viQIcE6fsSqzhcBC4qdeyVEt3WBQ2rQEKsmpY6\nj0aNa/fD2nN6N43GjeBYALMFyMau9hqmd5yUmM8NcRxQj4v2+qChfIdauEqlceFAJUqKem/FIFA7\n1EOMF+LrmAb0XqdOD+CSIZIAACAASURBVFXN/TG3qxKgOBBczldJyrC+Dm/T+811+m1/9fM4K4rJ\nXz31ZQDAhf7zAIADqsNeAeAvhk7yP7N/vREcC2CmANlCr2PN0zsnnsetjPeAw5JDrs8jnWbXZx7v\nK+fkmTeo/NQklwnuRhRmqqeF/JD0eRs/h32KO/yUvn/UqWI9bqouunSC3lv95w7rqR9RrnkojNTn\nsb6vvz/D0cTgWNd/R4Bs6vm64umd3Dicn3FiyAoMwrDK54YwGLpgPDbkjtw4vH3GSWRB+8JPYmGP\nJJ6k9+XnQafVzRMv85wLgNWAKVUpEMxv1spJYn6vy+vUgFrxOjXWJLb66yCOYG5z1Cxx7Bd/0zRn\nGXt5TYJfKwYPXGCvWug8GDbaksYlFOJV3zz0i27FCkoyQDace19j7Elu85yrQKtku1fehD/3OrWA\nrjyN4tZbXCNV/c7JcvPqFaqyVoylj9IrJi0Ot9S/etvP7YffPwJOj7WdPxhKDIrSPMfqKN4q95Uo\nJt/yui8AAF61dwMPnHoaAHC+7zzJ+3ovAgBuI8fpG3IiXxTqFPBp3AcALQUlFSBbjKlVmG3m2JM5\ncRJ5DCBQjefg8PkzjWNoIMHe0iX3CqDQZ6ns9HF80TM14Lh+7yxSiVdMehHvVTnZJ4xON96qn8Oi\nwvUKTUhw26evatozagVbryt+Hmufel4AdOCew7GCkgqQJao7YC+3ryfoJDcOb59xYtgpMANHqTKh\nBkMmMB4bckduHN6OkRICC1lVCfeWnyMPshUAycjRcshV5DZFmTjlsy9Ln0XdJn6NoV5oxRiedZkE\npSoxOvcezYF6JaXiIFW4Of+qS46TFNcqrj3f7GM49Ja6ppf66PBxsxiQpuwx9kFqzfealnEreyeO\nPVkzcrPWZ0YziQYUhvBEc9+aXUCn3O3mMwLOn625Oxo3D9b9opIVV5+vtzX7oZiRywBG99zhDhmp\nitiMA1CPVbO6aExeMeFS7rkDvVbZL0+Pr/s6Vxvvjr5bAO5rTj+N832nlFwo3eurZFL/TinE9XIl\n3O695Mf4yr6LXQgzd4B29k4Ye6IfRZztsWp27yyPA4SF93wMkgq8MYeV+Pedrcu7R89hH3OixfOe\nle+6KIAy+uLi+KYObg/vvd39LUkzKp2M9zTjRjJihJej08DwDknd7WmWZDPGZHzdbe+/UElfro9e\nEfxWRFk58XNYQQhUnd6pxntx9k4Ye8IRade1EGtuHN4O48Sws2AQRhnNcxoMXTAeG3JHbhzeGuOk\n7XU2vbOK1dOTeIuyCDIYmlk65XOBhQ7UsRqDYdrLTCgJ3O+h/8x12ZB6DmclI2ag85M61roPn4Wj\nr5qFEZWkr864OBmvoFQMHjfnOv22TKzH0+lUjessj6AwG9ARe6J59lxH3K/ez6zh1nM4AYWIibzL\no16fV1C5qf7hwL1RFFRz+DBSTJ6RuiBaMyIsNFhGnydFSko8tH4fvadflLEIh885JaUn946qgMW4\n8NuFhD7p/HhVqqcq8V+n3OvnPulWGSi+0fV9/6lb8No9V4BrXw6+TeKjTtGeXLv0BXeSl4tD3FI4\nlzgszAa0Y0/CLLmUd9nInGt9INqo+9jO/naYxxx67HHMn1+qIOLwvqhYJdUL+h059dYrKfJMK6JM\nND46anE2zgzz2/oM399D/5lX3PHC1ZsX3LOt0HgpVYUP3B/jU4zhXe4ZXd7mxlaJcjIauT5GL2r9\nfB/A4toPKuzdkHGX0Q+6L+AWPY+JQNxUQlOxJ3G833EgNw5vjXFi2E3kZq0bDF0wHhtyR24c3qxx\nEszbe2cmqljpqwF6C1OinssKpc49QjJgnndqgbdsB1FFv3GwRD1FFmSrjL3Om1a1ytJ3H5cvZyze\n7Pju2+S04n0OqzoL58vX6nMDQKVZGa56osaKNNQROZYjr4+1EqGflJTX8Rgslnoq9mRTYACjjKz1\nZdCqbllE3mc/+hxK8gobq8J2TRZUVs7euNk8R9d8d9H9+SqHeTwGjsTzlZoMvaflPMq7s+LZqec4\nrHxcyv41N4a9l11MyP5Lro9qz7XVWJSjsdseViWqxLJdpdx3fbmPD2SMdxRHuK/nPO1U7MkmcSJ4\nTFRnjETVWPXKNSbDZ1GOCs/hciDPzGfd96jPqxaHR3XFa8/RWPXT57PGRiGILbzFxXPsP+tinMa3\nOD4e3ul4M5Jwj8HdFYpb3Lne840fc9cj3+GhpH79i0vfAQA4GjnuDp6VGJQXS/T78lsTx3jFqOrn\nMPR5nog92SRy47ApJ4b1gvOy1g2GThiPDbkjMw4fq3HSmNuc0gZhJVO014YhKuqaDRKYwjKvV16T\ntWlUgZCsFoyrOmd9SrYK6zzjuKrnRVWpOCUW+rnbZcxRX6OqVkw0N169B+33ilvYrTgr60+oolIF\ni5r4wUxbSW57kZu1Pjca6p96gZHipcqJZrmEqp0KeaecJ8f3u4X+yqvqfTreKId5OEqrfzE0NmU8\nrtUVOZZ6rgCErkOl7yvHaVihfM7FqbCocD25n8YSb3DqGdf25tnm9e0iFuUxET0E4OfhJN9fYOYP\nJNr9XQC/AeBbmfnSEkOdY3DyGmSHTOOwHlR57lUg+VwqUc74gqtzUl4V/tyU5/BNp3RgPK5V4Vbs\nX7QOj8ZcIVBOtCJr4Z7DN865OKaxFqiVysW4dYj/7o3/DwDggX33vH1tz8Vy/enRBQDA93/zJwAA\nv/Lxb3PXIGogl1RnXx5TZuO6kduzeDuUE6pnbVqxanFBqzADTQ2VSlOGo4WaYozHtSzenQ1WD0ml\nuj4ASX/0pfMlxVend/y0Tr/5gAfqG7K6ccO9JzcbnVpC7ovT7MoSpNM4euNuCRjAqMrnhpiGpIHd\n4HCzkZesNZ1RfwzChSmFM+U1CVytEhzmKpjamUJi+UUhwBfu84avyM+lTO9UZ+6QQ4TrRH5ap06l\nlLfGE7yLGTGUHNVD6fvF6gBfGrng8C8e3b10/6vGIjwmohLABwG8FcAVAI8S0UVmvhy1uw3APwDw\nidWMdk5MChD2qa/NRt4xDH64ldd1Qcl4bQHZHAccTv3wR4Y3laV7Fgf9anLBqWuOy4Pb9xpj44ow\nlgtQo+R1e84ov8GuSOCnbt7fff5ZEAeil6V//tL+3uL9rgnLPIs3YWTvzq+GYSvBIIy46PxnMOSC\nFI+n4E0AHmfmJ5h5AODDAN7e0e4fAfhZAIerHbXBUGNBDodG9vcCeD2AdxHR6zvardTI3ohy0ul9\nxkWt/P6EF0ocBCBGSoIEh4aBVwCcwjCrRKeeZlHWi7KJNawe5fjuW+V6ogJC1PaIvWISpdXNA4pT\n2sIKVFrSXhQUTSFmLU/etbDhmsokN87DeVnrq0A7MLb5hg8mLGr1xH8/GkQri4zFHKZeb/p0Tpye\nWZY+mFvLa2vA9PjsHdJxR2Ci8kv5frvTyw9fJcGDt8+fk3ujGjS21QEfoMQrVTMQVlOIcShpq1rH\nyk/npqeIO1OIFQsIPwvy+AKAJ4PtKwDeHDYgom8G8Gpm/i0i+qn5R7Za1PXAhA++pLo08DyBf42X\nGvFtNDhfi0nq1GG/B4rT4WNoW31elkWtCutzWFOKz0iAdrR4Zfh4q+QCPj906vqfHH6NO3Y8v9Ks\nY+dYoS+K+t6U+8unEGvBzvjZcIwzRks8i72RDQBEpEb25aidGtkr4bG5r4a1wqWvFZ3/JmFT1rrB\n0IUUjwGcIaJLwb8fnbVPIioA/ByAn1jXuA0GxQQOT0OXkX0hbBAa2asa70ZjTuYKkG3GwzprvUhY\n7Pv9Rls/5zkatdJzfRqYIvY6e726X7WGz4hi4ouvBSnEKahF3Xdj84Gw155rnJeZvQrSUo+iWt1+\njBM8aY2D0ZRAn5p9jBb7eLEpnI1Y67NikvpXy3/NoO7YWwrLhcdxRF7h0O9Wg2AHw3bAdAKeH3v9\ngH+S/iuKiXp0fjl67ZvhFRMtta0q3OiUe71+v2t77o1u/v7sKeeV3loe+VTNl9m9vlhp3r+TPzRs\nRRcA1PZdKKX4WnlD0lrVER83VRRg8rNkWSR4fI2ZH0wc8hSAVwfb98s+xW0Avh7Ax+S7Og/gIhG9\nbSMKIKERHOt2RUSPnhuTOeyUMH1O+ji+YVM9A1A/h4vomaapxAcH9WKBkuJ7eMbdI+FCfwBQ9UWt\nLiv0qalQvyCrB37hyEVx/5tH3Vd3+otSJuKGLjPCwTIogQIJ+Ge4LsYJ3yz9UNXia36hTVVMibo/\n0zUhweEzRBTy7WFmfnjWPgMj+4eWG10T2xEQa9hZMBOG44XS17KTxA27iwV5/CiAB4joNXBGyTsB\nvLvuk18EcEa3iehjAH5yG6YmDbuHCRyeZGADGzKyt884iWNPOrIi9NUrF2KNapxF/9p12S+XJ3Oe\nNCzagkFCOVFwv1dbzHHUeRTPwWNVOFB7D1JQyi/iJ7EE1Vdcee/ivEsd5RelsFt/zy/N7T1XHb9e\nj45Hz9Erp2fpdHjtHPy9LjCAcVo6XNhiX5e1Pi8WUf/COfG61L2oEjJHreXmKeIwl2Wbw3H8UhSb\nRP1+siifKiY+00wL/QXp67yvrql7ryepobdecfuv0j0AgL1vduP48/IeHBSO5/q6h2cBAC+xux+0\nGNZA3N4vje6amqWjTrB0CRrV3q3//NeknEzhcfcxzCMieg+Aj8LFTX2ImR8jovcDuMTMF1c/0uPB\nJA4PhcP9BIdbyy8ALUXbx5qoan2w52NNYoylzIRfrFAPLdkrJ58bOqXkq3uOh6/ZfwYA8He+1T1+\n/g3cb/PeS+7g0ekCfV1mQp+tGjeoCkm0rAh6valZOhw9A1zMjl70euXsRTgs2IiRvX3GiWG3wMA4\nbf3sjiRu2G1M5nH6MOZHADwS7Xtfou1bFhqbwTALFufwRozsrTBOmCZ4nq0o8aCsfVTSvpAJ6OGZ\nZtnrlpISYhR5nbGHWTGGZ11/vj5Fr5nZ4JcTlyXmq70eoIWIrjgL3S9+pcXW7nHv+0j3005BKZ5/\nyasgGu1OWgpZrfJIOUG/N1+Wjh4b83QNc58MyspaXyVaqor3mmpPz89B62ctyaTqfSr6soAYLcJh\nAKN7JCtHS4r3orlv/xXpvH2Bo/OiRL501DimHHDjGF0g8C8v3wsAuOUbB/hM6dSUfZE5+uS85q8M\n3XXdkMwcvWe/eHT3XFk6gPtcY8WEwpgZrC4GZQke54VEAlZyaYaizeHySJ7DyjmBKino4LAujOqf\n8/2mcgIiDM7dAiA4X+LXS3kyOuzhf/2z7wIA/A/f8DsAgL8YuEfGkcQ4/ds/+yZ3OYei5N1WXy/v\nNTNvSGJNNOYkXD7E79fnsNy/vpbRIlk6KxZSluHwJozsrTBODLuNqsrHWjcYUliExwbDNiEnDm+N\ncZL0MrVB5NkB7HPX6z50/lyi+ofu6OG59AJi/avXG9ux6gLUSsk4KmfMRdPrrD2IQJW4X2p767Li\nuqCbzywSq1yqHY7P34XyWSm/r9k5I/GENb8/9irQVky0xPgms3QA51zkZK2vBImsnXhRNS7r+gsU\nV8QU708zwGIlJYSqKoqutl4hCTmKtgpYz/2TrwR7dLfLihhLls5oXxSUI4lBkSwaXQDwsT9/NU5/\nvZNTPnPjvBuTBAQ8deSqwF4bNO+zAtxSTPovprN0APmM5lVIFlRSluFxzkhl7fiYiR5QUYLD/WYW\nY6ykSMcA6mrbinppEG1HqITD4/1mBqJCY5F6r8gz77kehqK0/7NP/U23T36cWb5LVq697Pb3ZJWR\nwa0FTl2Va9QFAFXRjrOSxnUl3FgxGR9o/amOLJ3g+hvXuibkxuGtMU4Mu4ucrHWDIQXjsSF35MTh\nrTNO5lNQJP5ELVi/9ofO6cv7Hdait+YjVaUqm+qL6zCKBo+s3jryWjy8gqEfrea3U7Q+ib9esaTD\nBdd0AUP1JrRui45jeM/tretJKiYaya5j7MjWWScYtNMLwikmxU2lvM+qpLqEjbStVC1TZ0yzIvoT\nOBwpJXEGjpy8sa9eYFPH2JwMJ+ZW9dpYKSRNvpCYk/51jbkq8OinXwsA+PY3fA4A8MLQrSVVyrV/\n7NNf27qelGLSu9E8D43qe2ndWTqKk8JjjymxJ/p2VRKKqK73IhxWpcSfR9VqPaaglgpclc3vQ5Vy\nVfKqPmH4nHt2Dl7W9dFkLPIj3TtSxcS9qhpYDhmDO92xvZcl5upAYv4kxmt0VgNU6jgnvfe8uuPj\nY6LfkPB5fAyVut3w8uLw1hknivgzbN0rQdlkkieUL02v8aJV84c/7EALS40l6MkHu+qPdyAZ+mDB\nKKCxBaqNJfarwDbeQquAljestMx9gWKgPzrN0uJ+PPrjs1ff7HFwbssoiQyoxvROdDkr5S8DnJG1\nvlJEpI1X3KaK6ylBDapWvugi1RGPGv0lHvrxNGNDOi6aD8k6tbx5rzBT65gqOsYv9Hak53Ov/ZcI\nQzHy/+DTX9MaAwDgSKaGrtfBuzpdkzJKCgnE1ekdqgKHZE2BsB4nmcdoG9g6RUmojYRopZGaw11F\nImMOR8XB1DCugmlHDYCNf+D1fH7aT/jSe4VAo8j6V1TNY3Q6x6epB1OGg7tPyfXINcsUfDxVA9Sf\nU8ooqVoBsh2cWhfNMuPw1honht1BTlKiwZCC8diQO3Li8PYYJ1M+M+/IhTKut76bXmfbe6o7V4XC\nW7txCqJ2EZfGD7pJKQtanIcKAN4Tjjy6BDl8mmRJ9dji6ahoTN4qDwJwa08D0Ws0FUVYn4UegLkO\nPjuxSEnkBdVKmn4v3O2Fhse2PNJoCrQrZdmfM56SjFUz1PdSu3hck39etZBplvIwkNtfFHXvRvd3\nr9dQipxOQSl69V6TiklHQOxULKmknFgeJ9S/UEHxTfTjiRa4JOXfJA4nzttQTuJnmTZV1Vmm8zXV\nHSDPpfg6/H0lnNNjfLV7RlAWX9R1VU72mlOjoXKSuvdixSS8huOaacmNw9tjnBh2FlxNb2MwbDuM\nx4bckROHN2ucTLAYORUkFAgeLbVjBu+I1DNtFXTyrqvsqK3/OB4l3bl2wfUxrYhePV+07YN5g5Tl\naefxc6/U9nJjCz32lDtOsR4LnrKa5zwONIK+ozTjlBfagKZzJiU8PbSpojVOMKF7N57wmGiePGqk\nigZrKudNoBg3z92KIYtUkmIU9KfKyGiCYiKva481qUd8Mnk87fMkqlPku9RtYDkOB0HY05bbiDkF\n5rZyouDmMX5phFHQRONetItIba/btc/Ruvc6FJPWtSxBr9me3Xlx2JQTw3qRWRCWwdAJ47Ehd2TG\n4c0YJ51ee7d3NtHTj8zFlsLRYWlTbDFXsefVto6nOg/xeZnSCxf6sTff0EyjxhRsHEsQ9zEhHS35\nGRybYhIgoxtiUXR+z4nvvrNtSkHpildJZYvFx0zyNGdIX5zWT8vrHNY3gldTUrzrUEniexNVc7v1\nyjxdMVmlknICeOyxAHfhC0zKbu1qVRxOcTbmjZ6C0eJua/wxD/X3gOrsNB9L2BH/1Rpjal/q+Ry0\nPRZkxGFTTgzrRWbWusHQCeOxIXdkxuHjNU5Shm+QbZJaXn6S55+0ZKOMFaBDOZG58dZ8djSXHR47\n7fSYJU6lnSYhu2cJnOmwwqfFEmxCMVFkdEPMi1kUk7a3lv6OU57dJFqk7o0ur22u73zGthTVjKCK\nwTp3P6WPUCVJZdu148Pqe/NYFBPFDvPYYwnupo9J7A+bzMDhVJs684Yb241aPVOUE18EM3w/Wmx2\nGqeaasgEpaQx+Ml9TsPcz/CMOGzKiWG94LbcajBkB+OxIXdkxuGNGidhnEmdXRK9xuV+O+Yq48X0\nfP9xRcFA0dDS24VmBGhlQK+giKISZASkDOdZxJzUQV3xKlMxjwqSVKumn2Y1oKys9Vkxl2ISe2Vz\nePWTlLzW8vXavc8QmKCYzPGVtGJNouuKv1+qpiidjc7rPlsPzlgp6Tgm1d/qsZs8bmCSSjwHh6ep\nE4tweELCTys0z29X9YmS31zMpTDW0P88pcfQ6m5am41SKC8O51ORxZAvqsQ/gyEnLMBhInqIiD5D\nRI8T0Xs73v9xIrpMRJ8kot8hor+y6mEbDB4ZPYc3opx0ValsKSYysnqxp+b+RgaOLoMdrbWga33o\nKxfB/LhUnyyPmva2F2a0UiChtjYTHkCnZzmjx7iMR7vIcce+7hPX38+8IKKHAPw83GpJv8DMH4je\n/3EAPwJgBOAZAP81M//lcgNeHi3FpGruDz26qX3FWQShZ1dGvmLR5Gldf2JNX7pPbGgrKMnEiglz\n/y2FJDqP7/tYFZO6/3l5TEQlgA8CeCuAKwAeJaKLzHw5aPafADzIzDeI6McA/GMA71jRqGfDBMWk\nlc0YK3nh8V1ZOeEx4/aX5JXw3mQOE2j6s6tOtOkcxyzHNkDpt2bGum69RfrN7Fl8rMZJqnQ2F2mj\nZLyPxqsaGg3Np+rYB6CSVYnHp1n6rKdvdOXKusCUGDiyiFkhd2lYlEdvMl/iG80bdy4cs5Gw0cUo\nF/h8tvXBPikAM2mU+IBR3T9B3k5I4rp6K1X1vVKvOtw82C/ip3u7ArTjH5QF0JLVw1L8ic9p4ulS\nx0ziz7qNkuXO9SYAjzPzEwBARB8G8HYAnsPM/HtB+48D+IHlBrk4ws85ZZSsjcM0hcPgoGR+83wx\nP1ZOiRRp4xMd0zN2qWd5Rs9im9YxrB1UUee/KfAPdmYeANAHuwcz/x4zy9q1+DiA+1c+eINBsACH\nLwB4Mti+IvtS+GEA/37JYRoMSSzAYWBDz+INTevIazCVM00xGZ2OVJB+bQIWQ2rta5zvVqeN9w5G\nGN2UE1GvMZa22Vvb7F49mRSIN2H/cWKjCkkXGIvOa3Y92N88of1mHuwhJ6YpJj74uqqP0W5S0x2C\nYiDHjCq/VLuiQlNBoej+oorTwX0pzobTpinVpd10YpfTMPf9c9yqSTePzxDRpWD7YWZ+eN7uiegH\nADwI4DsXGt8i6Pj8piom83A46t8fMwOHCzlYF8xzYlw9xZMYftDDZCRL4M/DqdzU78yexZZKbFg7\nJqSv5ftgN5w4JHh8jZkfTBzyFIBXB9v3y75mv0TfDeCnAXwns04sGwyrR4LDK3kOA6t9Fm+mCFv0\nyuXsisn4Lidj9E/pik7A8Ga/ta8L73r9Jfzry+45UreMP4I4+BV+Jce5csRXMKef7Hrb1JEJ6EwR\nrZHvgz1W0ZinKyYSEFgeiQc5rj8YLovWvi70n34Rw3vucP1E76n36dcMDBaG1J2x99m6rC51JDW3\nn4hfWZuCuEFlcgqPU3gUwANE9Bo47r4TwLsb/RJ9E4B/DuAhZr66gqHOjUas1IyKyVwcjr63WTgc\nKyjzcDiZbFB3uxUq96xY1fN+AocnPYeBDT2LLebEsH5U1P1vMvyDnYj24B7sF8MGwYP9bZt6sBtO\nEObkMDOPALwHwEcBfBrArzHzY0T0fiJ6mzT7JwBuBfDrRPQnRHQx0Z3BsDzmfw4DG3oWb7YIWxBz\noqnCsyom3//6R30/v3L5W1v7unDv3gt41+udevWrj7ljfDKOBL3UXoTMdY7Jew/tC0B0TLSNDmdv\nChdyUkVmxSJVCZl5RET6YC8BfEgf7AAuMfNFNB/sAPBFZn5bstM1goJsnaRictPFPqln2f/Ki/74\n4fk7Wvs6MR6j/7RrM9X7FDJxHx1plhw2aVxHvZGY24+8z4nxKwumPG4jFuTxIwAeifa9L/j7u5ce\n2NyD6t4detazKibr4jDLj0Ol5OoxPJm8NNi8kO6SDs2d8z6PN4l1/Bbk9Cy2mBPDesHwtTrmPnQb\nH+yGk4kleGwwbAUyexYfc52T5mu9QB/V2TpSx2SaYnLv3gu+33jff7b3dOf5b6GBt8Tf/QZ3TFtB\ncQPQIm1cdljkusBUVFyrM/o92o5z9FvteffUk5zmd5eCn6+fUTEZ10+K1r6jQfcpxhXo9IE7ZpqC\nQhIDUAG13NFsE9ZCaYEiuSVWUlIKSmPAnZeRJXaNx61lCBj1AnjVjIrJIhxmBh04iTzFYZ80VBRy\nDLXiYVrXo/2HPKSmQpjMVtuiZ+46n/85cdiUE8N6sVggocGwXTAeG3JHZhzeDuOEAlVFTGetWZJS\nTN548Jf+cFVKbisOAQD3lS5Q+CCabzxkBg6+2NinCsqviILCfa2DUh8bL93u52XVaehYbjterp4j\nx3WagrJTyOiGmBsdXqf38EQ5SXmbfFgHtJPyRDMdRqLlcfvD01JHKe+T+j6twW1XCOQNNF/1/K0/\nUJcW9wpnos7ELArKLmCXeRwjip+bi8N6HwwkJzLmMBVgVZ8TKiBJ9mZd+j4YzJTvIeSyr0ruk4A0\nMCwRi7IB7h7r/ZIRh7fDODHsLAh5WesGQxeMx4bckRuHszNOVCW5rzzCnYUb/iG/BAA4oFK2nSna\nlzn3O4pTQQ/XAQAv7blspyuDVzVPEGfeVHUQkUaw+9d4UbawG10CvGha6vEUZ5fFvlMeaGZS4rFA\n5+IHw9oDVU+uijw72eZRvciTp4XUlUDP8d7HC0RKHjNAcnhr2fqYukE8mF//pBd5mTMoKDvB3RDG\n4yYW4XAQn+Lpof2cds/o5OKP6ODwtO+DaiXeK/JacVbHJGOMhcWtWrBvZSfPi8PZGSeG/JDTDWEw\npGA8NuSOnDicnXHy+cE9ADS+pFmE7omRM49frm4B4LJzAOD+3nXf5srIWeifG5xvdqx1TaK4EhpH\n854AyqFGsjcteG99F4Gl3os0kjkUlJ0AI6t5zmPB/p57ZQbihIZ9qbcjqojGoFCpLmAF9OX4fh+d\niLIwwgeSxsH42j2pEj5FvWKsTtfPo6DslPoHGI9jTOLwKcfLOAaFBkEF75789CiHY8VkDg57FSSu\naRJwWB+srTV7IgWlcf4VcHer+J8Zh7fDOOEw8Mq96mJ+Wpq+q9Day1HKsBouXx7cCaAOnn2pesa3\neWJwrtHmw4+5EPlAIQAAEFVJREFUqr3jV9xH0Zfz6mJ/xYhb0znloWzrYmyRVM4lYbwXPdhjM6To\nlsRD7MoDPidrfW5QPZfBwd+A44F7dSyIi1TRwT7iIlH+oS/GCHWlZeoDXaZzRhJEqOdpleiu6oew\nFtUqj5rpzQq9Bh27O3wBI2UHg2R3mscxorIPK+Fw2E45LAkIo3O3N86zLg6njBRvBIWpxluYZrws\ncuLwdhgnhp1GTjeEwZCC8diQO3Li8LEaJ3GxMhUcqGLQSCxaUf7KG2quuiGqIBgqKKp+xIhVlqcG\nd/n3xhLl9+HL3+K2b7j+e8/J68vuvOVNGccRUIrT2jusl/wGgL2rr8h1NSXJ4ZnT/hrH6nX6GaCm\ngqLWfSMga5cs9UAV23kERQUBoNKKUqfcH8qphvd5OgzWrtEqBd7RTtMuVYUb75dyfhmHep+jyheE\n82qfeJu9r0gxw8j7HZ6/E+Vhs5xkS0Hp6wU3z7eL2EUex4XJQvXPB0P7aREHqdKwXRx+urtc/iQO\n683qae+prD9Ky5F5G++F3Dhsyolh7cjJWjcYUjAeG3JHThzeqHESBp9qjEfpY1xj07NbQelCHKfC\nHWZsrJj0X5H0Y4md7d3UeU1G76YbqAbA7j/jqmDpXCodOmlFC7j1n3kFw7MuKFdjdsf7Uko8XMYe\nuzUnn0RGN8SiYIKnrMZk1PFGgoSC0tlfNMffFbiqqlu1J95mT73eZrBfMWYUOj8vql/vqnibI0kD\nlZgWkniB/ldewPC8Uya1dLmiKsKy+O1AxJ3FrvC4FYUvmwRP2jaHJysoXfAcvmdSmwU4LPu86qcc\nHrpfB5J4lgaHYwVFOexV/GbBwZ1Mhwey4rApJ4b1IrPceoOhE8ZjQ+7IjMPHa5zEhZ+CDJ3CT4bF\n5mq3gjK6Hi9zVqOUjBvfJjCB9TTapndDX2X/kSomsj1gP8e5f1UUk4GTeeimug+yXVVyWXvoP+Pi\nUVRBqSr1BHbRHJ+MYhdXc22GW4BAdcE9wTQFhcZNbzSEd+Q4ahOeIlJqwuyERlueoJjcVBnHcZil\n1DjhAH3xTNX7jMvitwe9mvn6bcVO8hhR7Ilmms2ooLT42dVvP91mJRw+dMuWaLl8LfZGdKrN4aru\nr/F6QpATh005MawXmeXWGwydMB4bckdmHN6IcRLmrntoXZH/v73zC5mlrOP497u771FJzPSox/6A\nQd7YzYEOdheBCqerc1NqXXQMJbrorosEISIITlcVFMHBAv8EGUJ0IEnS6M7ME0hkUFoYmZod06BC\nfc/ur4t9ntmZZ+aZnZ3d2Z1n5/uBZXd2nn1m3vf97rzf5/v8mejkcj+bxzvsmvq9O6wy7MF6KllC\n4sy3n5mzWKLeskV/4JIRvu1GvvjWpnPsPjkhCZvUnOCAINpHiSRPAvg25ndSv9/MzgT7LwHwIICP\nAHgdwB1m9uIap9viJOdP8zWbfH/5kgTFv5jUJAyRcQG15zAqxjnZ750o3+jMr5uSafid4mHHY/BA\nbRfPOjruLRUaC8d6RBOU0ZIULVL/4kBBmWxdFT8WL/hQnYZ9YlKl4Un1TKIhkpqGa/I2ITaAuani\nFY86SI4BfBfAJwDcBODTJG8Kit0N4A0z+xCAbwL4Rgc/gRBRHS+D5EmSfyT5Asl7K/ZfQvIRt/9p\nkjd0cPZCtNYwsBsdb3mdE+fG/Rxzv6NBguKTDnNnXDeSOjYDJj/He7ES7fx5/I5fBda9P12Uy9xm\n6DpdUoKZPzl5vSpauvWbAbxgZn8BAJI/AnAKwB9yZU4B+Kp7/SiA75CkWc3dw9ZkMRYk2MHi+BOg\nIkHJ1gWJtA4bn0T52IXNi2iM/1X5ZfIXK2WKkFV1nDPYtwF4CcAzJM+ZWV7DmcEmeSfmBvuOzZzx\nahhz184lCUqr9TJWSAFxMViHpFDGvelX2ZaGG9PmWrwrHeu/qegczqofS3gfgL/ltl9y71WWMbOL\nAP4N4OrNnLUQRVpoODPYZvYOAG+w85wC8IB7/SiAW8g9HVEsdk4LDQM70vFuO5V93zhQTiV8guFd\nsA8nDovz0evqLZXJJyezICnJ3Usnv58zK92KvnSTKhGnfvraUZLnc9tnzexs9yfVERUzeIBcghKu\nK7HmQgql1ms2Wca1JOtanWI14jqu03CVwf5o8PmCwSbpDfaFTZx2I3JjQ8JkcDGOyQpl19FuberS\nRMOiHe2nEu9ExzsaEOuFt7iaV3bxIP8lCd6oo5E5KT4vTEnxfRhK/1QW9dWciwwMAD8IK/q7uGBm\nJyL7/g7gA7nt97v3qsq8RHIC4N2YD4ztnGj3DhA3KSU9rqmRcMygT7WL906DkcNZKK0janRcp+G0\nIDJNlbrEQw2voV1DjbGOVCv9rk+NhnvZSNRwfNEt7d36MwBuJPlBzE3InQA+E5Q5B+A0gKcAfBLA\nL7scbyIGTDsd99pgi4ER1/Ayg70THe92+fp8glJMDRcJim+hZktlr3O83EYw3bIyMck/A4vWgv7/\nrQRbLPzjosEvAngc86nEPzCz50h+DcB5MzsH4PsAHiL5AoB/YW5gtsoqCUp5/+pizh8nO3bDEfcF\nRmqJrkoLHadnsCNpcyxJaUuYwGS1ZdPiy6ezND2RppfS5lqMHelYyYnoFmv5zxOAmT0G4LHgva/k\nXr8F4FNrnZ8QTWih41QMthgILa/Fu9LxbpavL03xtVyRYKpa9VpsjahszWZ9m8VBiovEpDj4tdGU\nuZb/fIdCSgv/tCXfsqyaZty+4uXHyd4Lx4qrIblR2ug4eYPdMElZudrs+h4MuBWd0vZavAsdKzkR\nnUJrvtCPEH1FOhapk5qGd2NOYqkIqmfyFPe3P2xh0atwdHhku/S5QoXuHMej4rYoMITkJE/tOJRV\nqZLUsnpXSRcDDWuJjThD03ElG0oBS1OWG6wQET0lr1m/9L00HCUlDSs5Ed1iAC+m49aFqEQ6FqmT\nmIZ7sQhbXYLS1TGrEpLGVbgbonHqby/vmEwK+8WclKLETdKkX34j6UoLeHAAAIvby/sdRw4K+8WC\noep4Y9TdCNDvWmHcFI8cmX8mpmG3XyxIScP6Lyq6pf06J0L0B+lYpE5iGu6HOcmbuS66C9uYxdw9\n2mauP/7wmncBAA7++d9CtTyc788Sk8kYh9deDmDxWb8M9NDuDUgAnKbj1rdN01kPrPiOWNU+VJQb\nATZxGj52JQDg4NU3XZFL52XG4/m2T0wOJllZ/9nFKs2x4+1vX790vEFyK9HWlslhI8DG8zdLGr7s\nsnkZr2GfmEzGCw2Pg+tvMMNtCKSm4X6YE7G/rLHOiRC9QToWqZOYhvtnTpa0Alf6TFU1S8palpg4\npz0Bpv7mzW/Pn7IE5bX/uDLjQh2H116eJSbTS1yrM3PuxU7V/b+xVVrT15Ikm63gZroFKd3sYBHX\neaWWWp/BOKnDY1dmiYnXsK9nUf8aUyySQzreCuH11wm2oOG35mNMShqeXFao6vDYldl1d3rpuFBP\npmFWa3g/r8tpabh/5iRG17/TLObzX4r5AWcg/E1l/UU6Mymu6yZkNh6VTMnsoPhls2Cp5XAhrb3B\n0ooS+0qT6cmhhmaT+YsRgBmK/YmhSSnVNRmVTYmrz9drgzHY2Csdl5ai3+GPtRgA6zTlL/ROrpa1\n+1jWcGBSSnWPWTYlk/A6XDyPfe6aTE3D6ZgTkS4JuXUhokjHInUS0rDMSUDmoLNkwzDDogUK5GLu\nWbXLthGXJiZNkpJ9aZFyltAQ8ZQIB8b61ueoeAGaTZhpN2x98qB6hLaNahKTEQrPWdq4r+mfY191\nvNFFA5sSm1YcdFHOxv7aa9mHShqO/FmqNJx1E42D7pxQw/l9e0RKGpY5EZ1Cs6SiRCGqkI5F6qSm\n4cGZk1IrodT6LG7PE5TF+BMAoHPfjCYnuYRkSWKy761NAEBCbr3vGOMt3FL/fS5ByY8/AYDZyMcf\nkQNxodl1EpN9Sf8A7L2Oq/5W20pTSsvZO+35AZyzMV16AmQJygoajiUm4di//Gfb0Hu9J6Thga26\nIbaOG4RV9VgHkleR/AXJ593zeyrKHCf5FMnnSP6O5B1rHVQMl4iOhUiGxDQ8uOQkSl2CMipsxd12\nVX0tEpPeu++VsK7c+r0AnjSzMyTvddtfDsr8D8Bnzex5ku8F8FuSj5vZm12c0M4I4r7aBOXAt0iX\nVxtqd7CJCYAOddxrYn/HjSUqMe1WJCg+9QiGpdQnJ16rweJr0dmSe01aGpY5Ed1iALpx56cAfNy9\nfgDArxCYEzP7U+71yyRfA3ANgP0yJ6J7utOxENshMQ0P1pxER6hXJCiZQffOvcHft+TEG44x2TsH\nbwAvTruo+Toze8W9fhXAdXWFSd4M4AiAP3dxMttkmXarEpQsPcn2rZD+xWY07JtW6+hAxySvAvAI\ngBsAvAjgdjN7IyhzHMD3AFwBYArg62b2yEZPpAUbH5/SJEHxN4P1umx0Z81ifeE6JrHr9F6SmIY1\n5kR0jIsSqx7AUZLnc4/P5z9J8gmSv694nCocwcwQD3dB8noADwH4nJmlk2uKHhHR8Xr4rskbATzp\ntkN81+SHAZwE8C2S1auOCVFLWhoebHLiaZSghC5+BXfd1JnvXWLiMQDT6BfggpmdiH7U7NbYPpL/\nIHm9mb3izMdrkXJXAPgZgPvM7NfNT7z/rJKgZONPQp1ZxNNVJCtNE5O91HK9jtuirsmQSIIy3+U0\njGKC0qzeiP7D465B73WfmIaVnIiOMWA2rX6sxzkAp93r0wB+GhYgeQTATwA8aGaPrntAMWQiOl6P\nwXZNil2QloYHn5x4lrZCUdNvUMcQW5l5unHrAHAGwI9J3g3grwBuBwCSJwB8wczuce99DMDVJO9y\nn7vLzJ7t4oR2xVraXeVeIkPWclzHR0mez22fNbOzfoPkEwCOVXzuvkL1ZkbGR23kuiZP97VrcqMr\nzZYSvvK4kVZj/2L1r0Eyuk9MwzInAbVfsCEKem26mb5mZq8DuKXi/fMA7nGvHwbw8MYP3lNqb+jW\ngd6Go2GgRsfqmgzoZDn8/MyE4Dgr1zNY0tKwunVEtxiA6bT6IUQqxHS8HuqaFNsjMQ3LnEQwLh6b\nrm9wLc7prPohOqUrrQ1Pw0BUx+txBsBtJJ8HcKvbBskTJO93ZXzX5F0kn3WP4+seeBtsXCfcwGOD\npPc9SEvD6tYR3WKAKSURqdOBjtU1KbZKYhqWOWlAWu64Z5ipC2fHSL8bQDpuTSdjUHZIst+nxDQs\ncyI6R8mJ2AekY5E6KWl4q+bkNw99KVXPKdpitlfjS57+oTQ8SPZIx9LwQElMw0pORKcY0nLrQlQh\nHYvUSU3DtNjy1UJsAJI/B3A0svuCmZ3c5vkI0YYaHUvDIglS07DMiRBCCCF6hdY5EUIIIUSvkDkR\nQgghRK+QORFCCCFEr5A5EUIIIUSvkDkRQgghRK+QORFCCCFEr5A5EUIIIUSvkDkRQgghRK+QORFC\nCCFEr5A5EUIIIUSvkDkRQgghRK+QORFCCCFEr5A5EUIIIUSvkDkRQgghRK+QORFCCCFEr5A5EUII\nIUSvkDkRQgghRK+QORFCCCFEr5A5EUIIIUSvkDkRQgghRK/4P2OH0nz4qZp/AAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "uts.show_sample_data_as_imgs(res, img_shape, nb_rows=2, nb_cols=3, bool_clr=True)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "" ] } ], "metadata": { "signature": "sha256:033b0414f8b952d43aa58c07e189b65689e8c5b35364de2ea6caf716c0209dfd" }, "nbformat": 4, "nbformat_minor": 0 }