ixxi-dante/nw2vec

View on GitHub
projects/behaviour/feature-network-dependencies.ipynb

Summary

Maintainability
Test Coverage
{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# GCNAE: capturing feature-network dependencies"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports and setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "import time\n",
    "import random\n",
    "import os\n",
    "import itertools\n",
    "\n",
    "import numpy as np\n",
    "import scipy as sp\n",
    "import scipy.stats\n",
    "import sklearn.preprocessing\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sb\n",
    "import networkx as nx\n",
    "\n",
    "import keras\n",
    "from keras import backend as K\n",
    "import tensorflow as tf\n",
    "from tensorflow.python import debug as tf_debug\n",
    "from keras.utils.vis_utils import model_to_dot\n",
    "from keras_tqdm import TQDMNotebookCallback as TQDMCallback\n",
    "\n",
    "from progressbar import ProgressBar\n",
    "from IPython.display import SVG, HTML, display\n",
    "\n",
    "from nw2vec import ae\n",
    "from nw2vec import utils\n",
    "from nw2vec import codecs\n",
    "from nw2vec import layers\n",
    "from nw2vec import viz\n",
    "from nw2vec import batching"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "os.environ['CUDA_VISIBLE_DEVICES'] = '1'\n",
    "MODEL_NAME = 'vae-explore'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "random.seed(1)\n",
    "np.random.seed(1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Model drawing routines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_ξ_distribution(glk, q_model, q_codecs, adj, features):\n",
    "    g, l, k = glk\n",
    "    palette = np.concatenate([np.array(sb.color_palette(n_colors=l)),\n",
    "                              .5 * np.ones((l, 1))],\n",
    "                             axis=1)\n",
    "    communities = ([[i] for i in range(l)] * np.ones((l, k), dtype=np.int32)).reshape(-1)\n",
    "    fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 4))#, sharex=True, sharey=True)\n",
    "\n",
    "    x, _, feeds = next(batching.batches(vae, adj, features, target_func,\n",
    "                                        adj.shape[0], 1,\n",
    "                                        p=1, q=1, neighbour_samples=None))\n",
    "    q_pred = q_model.predict_on_fed_batch(x, feeds=feeds)\n",
    "\n",
    "    # KDE plots\n",
    "    assert len(q_codecs) == 1\n",
    "    q_pred_ξ_sample = K.eval(codecs.available_codecs()[q_codecs[0]](q_pred).stochastic_value(100))\n",
    "    for i in range(l):\n",
    "        x = q_pred_ξ_sample[i * k:(i + 1) * k, :, 0].flatten()\n",
    "        y = q_pred_ξ_sample[i * k:(i + 1) * k, :, 1].flatten()\n",
    "        sb.kdeplot(x, y, cmap=sb.light_palette(palette[i], as_cmap=True),\n",
    "                   shade=True, shade_lowest=False, ax=ax1)\n",
    "    ax1.set_title(r'$\\xi$ density for each community (flat nodes+sampling)')\n",
    "    \n",
    "    # μ plots\n",
    "    q_pred_μ = q_pred[:, :2].T\n",
    "    ax2.scatter(q_pred_μ[0], q_pred_μ[1], s=250, c=palette[communities])\n",
    "    for i, (x, y) in enumerate(q_pred_μ.T):\n",
    "        ax2.text(x, y, str(i), ha='center', va='center', color='white')\n",
    "    ax2.set_title(r'$\\mu = \\left<\\xi\\right>$ for each node')\n",
    "    \n",
    "    # Box representing the μ plots in the KDE plots\n",
    "    ax1.hlines(ax2.get_ylim(), *ax2.get_xlim(), colors='lightgrey')\n",
    "    ax1.vlines(ax2.get_xlim(), *ax2.get_ylim(), colors='lightgrey')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Test graphs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Parameters\n",
    "l = 8\n",
    "k = 10\n",
    "p_in = .4\n",
    "p_out = .01\n",
    "g = nx.planted_partition_graph(l, k, p_in, p_out)\n",
    "\n",
    "# Show the graph\n",
    "labels = np.zeros((l * k, l), dtype=np.float32)\n",
    "for c in range(l):\n",
    "    labels[range(c * k, (c + 1) * k), c] = 1\n",
    "viz.draw_network(g, labels=labels);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- three feature communities, shifted from network communities\n",
    "- ✔ comms 1 & 2 have 1 0 0 0 0, comms 3, 4, 5 have 0 1 0 0 0, + .1 gaussian noise\n",
    "- ✔ same, but with an `eye` added to the features\n",
    "- ✔ same, but shear in the middle of comm 3\n",
    "- ✔ one-hot that is shifted from network structure\n",
    "- ✔ one-hot that is finer than network structure\n",
    "- several ones (random # and random position) for all nodes:\n",
    "  - ✔ random\n",
    "  - ✔ correlated with comms\n",
    "  - ✔ finer than comms\n",
    "  - ✔ grosser than comms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x7f323beec6a0>"
      ]
     },
     "execution_count": 144,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x360 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "labels = np.zeros((l * k, 3), dtype=np.float32)\n",
    "labels[:25, 0] = 1\n",
    "labels[25:55, 1] = 1\n",
    "labels[55:, 2] = 1\n",
    "\n",
    "noisy_labels = labels + np.random.normal(loc=0.0, scale=.1, size=labels.shape)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(5, 5))\n",
    "\n",
    "im1 = ax1.imshow(labels)\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "im2 = ax2.imshow(noisy_labels)\n",
    "plt.colorbar(im2, ax=ax2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "viz.draw_network(g, labels=noisy_labels);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Build the VAE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 231,
   "metadata": {},
   "outputs": [],
   "source": [
    "# VAE Parameters\n",
    "n_nodes = l * k\n",
    "adj = nx.adjacency_matrix(g).astype(np.float32)\n",
    "\n",
    "n_ξ_samples = 5\n",
    "dim_data, dim_l1, dim_ξ = labels.shape[1], 10, 2\n",
    "dims = (dim_data, dim_l1, dim_ξ)\n",
    "use_bias = False\n",
    "\n",
    "\n",
    "# Actual VAE\n",
    "def build_q(dims, use_bias=False):\n",
    "    dim_data, dim_l1, dim_ξ = dims\n",
    "\n",
    "    q_input = keras.layers.Input(shape=(dim_data,), name='q_input')\n",
    "    # CANDO: change activation\n",
    "    q_layer1_placeholders, q_layer1 = ae.gc_layer_with_placeholders(\n",
    "        dim_l1, 'q_layer1', {'use_bias': use_bias, 'activation': 'relu'}, q_input)\n",
    "    q_μ_flat_placeholders, q_μ_flat = ae.gc_layer_with_placeholders(\n",
    "        dim_ξ, 'q_mu_flat', {'use_bias': use_bias, 'gather_mask': True}, q_layer1)\n",
    "    q_logD_flat_placeholders, q_logD_flat = ae.gc_layer_with_placeholders(\n",
    "        dim_ξ, 'q_logD_flat', {'use_bias': use_bias, 'gather_mask': True}, q_layer1)\n",
    "    q_μlogD_flat = keras.layers.Concatenate(name='q_mulogD_flat')(\n",
    "        [q_μ_flat, q_logD_flat])\n",
    "    q_model = ae.Model(inputs=([q_input]\n",
    "                               + q_layer1_placeholders\n",
    "                               + q_μ_flat_placeholders\n",
    "                               + q_logD_flat_placeholders),\n",
    "                       outputs=q_μlogD_flat)\n",
    "\n",
    "    return q_model, ('OrthogonalGaussian',)\n",
    "\n",
    "q_model, q_codecs = build_q(dims, use_bias=use_bias)\n",
    "\n",
    "def p_builder(p_input):\n",
    "    # CANDO: change activation\n",
    "    p_layer1 = keras.layers.Dense(dim_l1, use_bias=use_bias, activation='relu',\n",
    "                                  kernel_regularizer='l2', bias_regularizer='l2',\n",
    "                                  name='p_layer1')(p_input)\n",
    "    p_adj = layers.Bilinear(0, use_bias=use_bias,\n",
    "                            kernel_regularizer='l2', bias_regularizer='l2',\n",
    "                            name='p_adj')([p_layer1, p_layer1])\n",
    "    p_v = keras.layers.Dense(dim_data, use_bias=use_bias,\n",
    "                             kernel_regularizer='l2', bias_regularizer='l2',\n",
    "                             name='p_v')(p_layer1)\n",
    "    return ([p_adj, p_v], ('SigmoidBernoulliScaledAdjacency', 'SigmoidBernoulli'))\n",
    "\n",
    "vae, vae_codecs = ae.build_vae(\n",
    "    (q_model, q_codecs),\n",
    "    p_builder,\n",
    "    n_ξ_samples,\n",
    "    [\n",
    "        1.0,  # q\n",
    "        1.999,  # adj\n",
    "        .001   # p\n",
    "    ]\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 232,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg height=\"265pt\" viewBox=\"0.00 0.00 1779.00 265.00\" width=\"1779pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<g class=\"graph\" id=\"graph0\" transform=\"scale(1 1) rotate(0) translate(4 261)\">\n",
       "<title>G</title>\n",
       "<polygon fill=\"#ffffff\" points=\"-4,4 -4,-261 1775,-261 1775,4 -4,4\" stroke=\"transparent\"/>\n",
       "<!-- 139853481207736 -->\n",
       "<g class=\"node\" id=\"node1\">\n",
       "<title>139853481207736</title>\n",
       "<polygon fill=\"none\" points=\"35.5,-165.5 35.5,-201.5 232.5,-201.5 232.5,-165.5 35.5,-165.5\" stroke=\"#000000\"/>\n",
       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"134\" y=\"-179.8\">q_layer1_adj: InputLayer</text>\n",
       "</g>\n",
       "<!-- 139853481206504 -->\n",
       "<g class=\"node\" id=\"node6\">\n",
       "<title>139853481206504</title>\n",
       "<polygon fill=\"none\" points=\"392.5,-110.5 392.5,-146.5 502.5,-146.5 502.5,-110.5 392.5,-110.5\" stroke=\"#000000\"/>\n",
       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"447.5\" y=\"-124.8\">q_layer1: GC</text>\n",
       "</g>\n",
       "<!-- 139853481207736&#45;&gt;139853481206504 -->\n",
       "<g class=\"edge\" id=\"edge1\">\n",
       "<title>139853481207736-&gt;139853481206504</title>\n",
       "<path d=\"M232.7631,-166.1731C281.4473,-157.6321 338.8189,-147.5669 382.0081,-139.9898\" fill=\"none\" stroke=\"#000000\"/>\n",
       "<polygon fill=\"#000000\" points=\"382.8654,-143.3929 392.1101,-138.2175 381.6557,-136.4982 382.8654,-143.3929\" stroke=\"#000000\"/>\n",
       "</g>\n",
       "<!-- 139853481206448 -->\n",
       "<g class=\"node\" id=\"node2\">\n",
       "<title>139853481206448</title>\n",
       "<polygon fill=\"none\" points=\"0,-110.5 0,-146.5 268,-146.5 268,-110.5 0,-110.5\" stroke=\"#000000\"/>\n",
       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"134\" y=\"-124.8\">q_layer1_output_mask: InputLayer</text>\n",
       "</g>\n",
       "<!-- 139853481206448&#45;&gt;139853481206504 -->\n",
       "<g class=\"edge\" id=\"edge2\">\n",
       "<title>139853481206448-&gt;139853481206504</title>\n",
       "<path d=\"M268.3165,-128.5C307.6061,-128.5 348.8157,-128.5 381.7953,-128.5\" fill=\"none\" stroke=\"#000000\"/>\n",
       "<polygon fill=\"#000000\" points=\"382.2009,-132.0001 392.2009,-128.5 382.2008,-125.0001 382.2009,-132.0001\" stroke=\"#000000\"/>\n",
       "</g>\n",
       "<!-- 139853492671824 -->\n",
       "<g class=\"node\" id=\"node3\">\n",
       "<title>139853492671824</title>\n",
       "<polygon fill=\"none\" points=\"54,-55.5 54,-91.5 214,-91.5 214,-55.5 54,-55.5\" stroke=\"#000000\"/>\n",
       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"134\" y=\"-69.8\">q_input: InputLayer</text>\n",
       "</g>\n",
       "<!-- 139853492671824&#45;&gt;139853481206504 -->\n",
       "<g class=\"edge\" id=\"edge3\">\n",
       "<title>139853492671824-&gt;139853481206504</title>\n",
       "<path d=\"M214.3269,-87.5924C266.3235,-96.7147 333.1743,-108.4429 381.9547,-117.0008\" fill=\"none\" stroke=\"#000000\"/>\n",
       "<polygon fill=\"#000000\" points=\"381.6234,-120.4961 392.0778,-118.7768 382.833,-113.6014 381.6234,-120.4961\" stroke=\"#000000\"/>\n",
       "</g>\n",
       "<!-- 139853480890040 -->\n",
       "<g class=\"node\" id=\"node4\">\n",
       "<title>139853480890040</title>\n",
       "<polygon fill=\"none\" points=\"344.5,-220.5 344.5,-256.5 550.5,-256.5 550.5,-220.5 344.5,-220.5\" stroke=\"#000000\"/>\n",
       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"447.5\" y=\"-234.8\">q_mu_flat_adj: InputLayer</text>\n",
       "</g>\n",
       "<!-- 139853481208464 -->\n",
       "<g class=\"node\" id=\"node9\">\n",
       "<title>139853481208464</title>\n",
       "<polygon fill=\"none\" points=\"632,-151.5 632,-187.5 751,-187.5 751,-151.5 632,-151.5\" stroke=\"#000000\"/>\n",
       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"691.5\" y=\"-165.8\">q_mu_flat: GC</text>\n",
       "</g>\n",
       "<!-- 139853480890040&#45;&gt;139853481208464 -->\n",
       "<g class=\"edge\" id=\"edge4\">\n",
       "<title>139853480890040-&gt;139853481208464</title>\n",
       "<path d=\"M550.8146,-221.7623C564.4365,-218.7691 578.1289,-215.3537 591,-211.5 608.718,-206.1951 627.5669,-198.8132 644.0963,-191.7158\" fill=\"none\" stroke=\"#000000\"/>\n",
       "<polygon fill=\"#000000\" points=\"645.7752,-194.8017 653.5345,-187.5876 642.97,-188.3883 645.7752,-194.8017\" stroke=\"#000000\"/>\n",
       "</g>\n",
       "<!-- 139853480887072 -->\n",
       "<g class=\"node\" id=\"node5\">\n",
       "<title>139853480887072</title>\n",
       "<polygon fill=\"none\" points=\"309,-165.5 309,-201.5 586,-201.5 586,-165.5 309,-165.5\" stroke=\"#000000\"/>\n",
       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"447.5\" y=\"-179.8\">q_mu_flat_output_mask: InputLayer</text>\n",
       "</g>\n",
       "<!-- 139853480887072&#45;&gt;139853481208464 -->\n",
       "<g class=\"edge\" id=\"edge5\">\n",
       "<title>139853480887072-&gt;139853481208464</title>\n",
       "<path d=\"M586.2516,-175.5388C598.4913,-174.8366 610.5017,-174.1474 621.7774,-173.5005\" fill=\"none\" stroke=\"#000000\"/>\n",
       "<polygon fill=\"#000000\" points=\"622.1284,-176.9862 631.9115,-172.919 621.7274,-169.9977 622.1284,-176.9862\" stroke=\"#000000\"/>\n",
       "</g>\n",
       "<!-- 139853481206504&#45;&gt;139853481208464 -->\n",
       "<g class=\"edge\" id=\"edge6\">\n",
       "<title>139853481206504-&gt;139853481208464</title>\n",
       "<path d=\"M502.5626,-137.7523C537.916,-143.6929 584.1311,-151.4585 622.0041,-157.8224\" fill=\"none\" stroke=\"#000000\"/>\n",
       "<polygon fill=\"#000000\" points=\"621.502,-161.287 631.9438,-159.4926 622.6621,-154.3838 621.502,-161.287\" stroke=\"#000000\"/>\n",
       "</g>\n",
       "<!-- 139853480811880 -->\n",
       "<g class=\"node\" id=\"node10\">\n",
       "<title>139853480811880</title>\n",
       "<polygon fill=\"none\" points=\"627,-82.5 627,-118.5 756,-118.5 756,-82.5 627,-82.5\" stroke=\"#000000\"/>\n",
       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"691.5\" y=\"-96.8\">q_logD_flat: GC</text>\n",
       "</g>\n",
       "<!-- 139853481206504&#45;&gt;139853480811880 -->\n",
       "<g class=\"edge\" id=\"edge9\">\n",
       "<title>139853481206504-&gt;139853480811880</title>\n",
       "<path d=\"M502.5626,-122.1813C536.2238,-118.3186 579.7318,-113.3259 616.5106,-109.1053\" fill=\"none\" stroke=\"#000000\"/>\n",
       "<polygon fill=\"#000000\" points=\"617.1561,-112.5543 626.6919,-107.937 616.358,-105.6 617.1561,-112.5543\" stroke=\"#000000\"/>\n",
       "</g>\n",
       "<!-- 139853480508944 -->\n",
       "<g class=\"node\" id=\"node7\">\n",
       "<title>139853480508944</title>\n",
       "<polygon fill=\"none\" points=\"339.5,-55.5 339.5,-91.5 555.5,-91.5 555.5,-55.5 339.5,-55.5\" stroke=\"#000000\"/>\n",
       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"447.5\" y=\"-69.8\">q_logD_flat_adj: InputLayer</text>\n",
       "</g>\n",
       "<!-- 139853480508944&#45;&gt;139853480811880 -->\n",
       "<g class=\"edge\" id=\"edge7\">\n",
       "<title>139853480508944-&gt;139853480811880</title>\n",
       "<path d=\"M555.5875,-85.4605C576.3206,-87.7547 597.5968,-90.1091 616.9787,-92.2538\" fill=\"none\" stroke=\"#000000\"/>\n",
       "<polygon fill=\"#000000\" points=\"616.6042,-95.7336 626.9286,-93.3548 617.3742,-88.7761 616.6042,-95.7336\" stroke=\"#000000\"/>\n",
       "</g>\n",
       "<!-- 139853481008264 -->\n",
       "<g class=\"node\" id=\"node8\">\n",
       "<title>139853481008264</title>\n",
       "<polygon fill=\"none\" points=\"304,-.5 304,-36.5 591,-36.5 591,-.5 304,-.5\" stroke=\"#000000\"/>\n",
       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"447.5\" y=\"-14.8\">q_logD_flat_output_mask: InputLayer</text>\n",
       "</g>\n",
       "<!-- 139853481008264&#45;&gt;139853480811880 -->\n",
       "<g class=\"edge\" id=\"edge8\">\n",
       "<title>139853481008264-&gt;139853480811880</title>\n",
       "<path d=\"M561.5741,-36.5369C571.6355,-39.1554 581.5711,-42.129 591,-45.5 613.3722,-53.4985 636.7477,-66.0077 655.3192,-77.0765\" fill=\"none\" stroke=\"#000000\"/>\n",
       "<polygon fill=\"#000000\" points=\"653.6617,-80.1648 664.0248,-82.3685 657.2978,-74.1833 653.6617,-80.1648\" stroke=\"#000000\"/>\n",
       "</g>\n",
       "<!-- 139853480235136 -->\n",
       "<g class=\"node\" id=\"node11\">\n",
       "<title>139853480235136</title>\n",
       "<polygon fill=\"none\" points=\"792,-109.5 792,-145.5 1012,-145.5 1012,-109.5 792,-109.5\" stroke=\"#000000\"/>\n",
       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"902\" y=\"-123.8\">q_mulogD_flat: Concatenate</text>\n",
       "</g>\n",
       "<!-- 139853481208464&#45;&gt;139853480235136 -->\n",
       "<g class=\"edge\" id=\"edge10\">\n",
       "<title>139853481208464-&gt;139853480235136</title>\n",
       "<path d=\"M751.2578,-157.5768C766.9053,-154.4548 784.214,-151.0012 801.3593,-147.5803\" fill=\"none\" stroke=\"#000000\"/>\n",
       "<polygon fill=\"#000000\" points=\"802.2996,-150.9618 811.4215,-145.5727 800.9299,-144.0971 802.2996,-150.9618\" stroke=\"#000000\"/>\n",
       "</g>\n",
       "<!-- 139853480811880&#45;&gt;139853480235136 -->\n",
       "<g class=\"edge\" id=\"edge11\">\n",
       "<title>139853480811880-&gt;139853480235136</title>\n",
       "<path d=\"M756.0875,-108.7844C764.3415,-109.8431 772.9897,-110.9524 781.7801,-112.0799\" fill=\"none\" stroke=\"#000000\"/>\n",
       "<polygon fill=\"#000000\" points=\"781.3878,-115.5581 791.7518,-113.3589 782.2784,-108.615 781.3878,-115.5581\" stroke=\"#000000\"/>\n",
       "</g>\n",
       "<!-- 139853481206280 -->\n",
       "<g class=\"node\" id=\"node12\">\n",
       "<title>139853481206280</title>\n",
       "<polygon fill=\"none\" points=\"1048,-109.5 1048,-145.5 1448,-145.5 1448,-109.5 1048,-109.5\" stroke=\"#000000\"/>\n",
       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"1248\" y=\"-123.8\">parametrised_stochastic_13: ParametrisedStochastic</text>\n",
       "</g>\n",
       "<!-- 139853480235136&#45;&gt;139853481206280 -->\n",
       "<g class=\"edge\" id=\"edge12\">\n",
       "<title>139853480235136-&gt;139853481206280</title>\n",
       "<path d=\"M1012.4279,-127.5C1020.6725,-127.5 1029.1362,-127.5 1037.7288,-127.5\" fill=\"none\" stroke=\"#000000\"/>\n",
       "<polygon fill=\"#000000\" points=\"1037.8694,-131.0001 1047.8694,-127.5 1037.8694,-124.0001 1037.8694,-131.0001\" stroke=\"#000000\"/>\n",
       "</g>\n",
       "<!-- 139853480124200 -->\n",
       "<g class=\"node\" id=\"node13\">\n",
       "<title>139853480124200</title>\n",
       "<polygon fill=\"none\" points=\"1484,-109.5 1484,-145.5 1615,-145.5 1615,-109.5 1484,-109.5\" stroke=\"#000000\"/>\n",
       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"1549.5\" y=\"-123.8\">p_layer1: Dense</text>\n",
       "</g>\n",
       "<!-- 139853481206280&#45;&gt;139853480124200 -->\n",
       "<g class=\"edge\" id=\"edge13\">\n",
       "<title>139853481206280-&gt;139853480124200</title>\n",
       "<path d=\"M1448.2661,-127.5C1457.0608,-127.5 1465.6025,-127.5 1473.7518,-127.5\" fill=\"none\" stroke=\"#000000\"/>\n",
       "<polygon fill=\"#000000\" points=\"1473.8539,-131.0001 1483.8539,-127.5 1473.8539,-124.0001 1473.8539,-131.0001\" stroke=\"#000000\"/>\n",
       "</g>\n",
       "<!-- 139853477998208 -->\n",
       "<g class=\"node\" id=\"node14\">\n",
       "<title>139853477998208</title>\n",
       "<polygon fill=\"none\" points=\"1651,-137.5 1651,-173.5 1771,-173.5 1771,-137.5 1651,-137.5\" stroke=\"#000000\"/>\n",
       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"1711\" y=\"-151.8\">p_adj: Bilinear</text>\n",
       "</g>\n",
       "<!-- 139853480124200&#45;&gt;139853477998208 -->\n",
       "<g class=\"edge\" id=\"edge14\">\n",
       "<title>139853480124200-&gt;139853477998208</title>\n",
       "<path d=\"M1615.1882,-138.8887C1623.6618,-140.3578 1632.3648,-141.8667 1640.9059,-143.3475\" fill=\"none\" stroke=\"#000000\"/>\n",
       "<polygon fill=\"#000000\" points=\"1640.3837,-146.8091 1650.8347,-145.0689 1641.5796,-139.912 1640.3837,-146.8091\" stroke=\"#000000\"/>\n",
       "</g>\n",
       "<!-- 139853477817872 -->\n",
       "<g class=\"node\" id=\"node15\">\n",
       "<title>139853477817872</title>\n",
       "<polygon fill=\"none\" points=\"1663.5,-82.5 1663.5,-118.5 1758.5,-118.5 1758.5,-82.5 1663.5,-82.5\" stroke=\"#000000\"/>\n",
       "<text fill=\"#000000\" font-family=\"Times,serif\" font-size=\"14.00\" text-anchor=\"middle\" x=\"1711\" y=\"-96.8\">p_v: Dense</text>\n",
       "</g>\n",
       "<!-- 139853480124200&#45;&gt;139853477817872 -->\n",
       "<g class=\"edge\" id=\"edge16\">\n",
       "<title>139853480124200-&gt;139853477817872</title>\n",
       "<path d=\"M1615.1882,-116.5181C1627.7417,-114.4193 1640.7987,-112.2364 1653.0868,-110.1821\" fill=\"none\" stroke=\"#000000\"/>\n",
       "<polygon fill=\"#000000\" points=\"1653.9142,-113.5924 1663.2002,-108.4913 1652.7599,-106.6882 1653.9142,-113.5924\" stroke=\"#000000\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>"
      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(SVG(model_to_dot(vae, rankdir='LR').create(prog='dot', format='svg')))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Target function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 233,
   "metadata": {},
   "outputs": [],
   "source": [
    "def target_func(batch_adj, required_nodes, final_nodes):\n",
    "    return [\n",
    "        np.zeros(1), # ignored\n",
    "        utils.expand_dims_tile(utils.expand_dims_tile(batch_adj + np.eye(batch_adj.shape[0]), 0, n_ξ_samples), 0, 1),\n",
    "        utils.expand_dims_tile(labels[final_nodes], 1, n_ξ_samples),\n",
    "    ]\n",
    "\n",
    "input_features = noisy_labels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Before training\n",
    "\n",
    "$\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 234,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, q_codecs, adj, input_features)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 235,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 648x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n",
    "\n",
    "im1 = ax1.imshow(nx.adjacency_matrix(g).toarray())\n",
    "ax1.set_title('Real adjacency matrix')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "x, _, feeds = next(batching.batches(vae, adj, input_features, target_func,\n",
    "                                    adj.shape[0], 1,\n",
    "                                    p=1, q=1, neighbour_samples=None))\n",
    "adj_pred = vae.predict_on_fed_batch(x, feeds=feeds)[1]\n",
    "im2 = ax2.imshow(scipy.special.expit(adj_pred[0]).mean(axis=0))\n",
    "im2.set_norm(im1.norm)\n",
    "ax2.set_title('Predicted adjacency matrix')\n",
    "plt.colorbar(im2, ax=ax2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Train**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 236,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_epochs = 5000\n",
    "seeds_per_batch = n_nodes\n",
    "max_walk_length = 1\n",
    "p = 1\n",
    "q = 1\n",
    "neighbour_samples = None\n",
    "\n",
    "steps_per_epoch = int(np.ceil(len(input_features) / seeds_per_batch))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 237,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/sl/.conda/envs/base36/lib/python3.6/site-packages/tensorflow/python/ops/gradients_impl.py:98: UserWarning: Converting sparse IndexedSlices to a dense Tensor of unknown shape. This may consume a large amount of memory.\n",
      "  \"Converting sparse IndexedSlices to a dense Tensor of unknown shape. \"\n",
      "/home/sl/.conda/envs/base36/lib/python3.6/site-packages/tensorflow/python/ops/gradients_impl.py:98: UserWarning: Converting sparse IndexedSlices to a dense Tensor of unknown shape. This may consume a large amount of memory.\n",
      "  \"Converting sparse IndexedSlices to a dense Tensor of unknown shape. \"\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c175df348b60477395dd1ca12767af60",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, description='Training', max=5000), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "history = vae.fit_generator_feed(batching.batches(vae, adj, input_features, target_func,\n",
    "                                                  seeds_per_batch, max_walk_length,\n",
    "                                                  p=p, q=q, neighbour_samples=neighbour_samples),\n",
    "                                 steps_per_epoch=steps_per_epoch,\n",
    "                                 epochs=n_epochs,\n",
    "                                 check_array_lengths=False,\n",
    "                                 shuffle=False,\n",
    "                                 verbose=0,\n",
    "                                 callbacks=[\n",
    "                                     #keras.callbacks.TensorBoard(),\n",
    "                                     #ae.ModelBatchCheckpoint(MODEL_NAME + '.batch-checkpoint.h5',\n",
    "                                     #                        monitor='loss', period=10,\n",
    "                                     #                        save_best_only=True),\n",
    "                                     #keras.callbacks.ModelCheckpoint(MODEL_NAME + '.epoch-checkpoint.h5',\n",
    "                                     #                                monitor='loss', period=10,\n",
    "                                     #                                save_best_only=True),\n",
    "                                     TQDMCallback(show_inner=False),\n",
    "                                 ])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Usually, the cell above complains with \"UserWarning: Converting sparse IndexedSlices to a dense Tensor of unknown shape. This may consume a large amount of memory.\". See these for more details:\n",
    "* https://stackoverflow.com/questions/35892412/tensorflow-dense-gradient-explanation#35896823\n",
    "* https://stackoverflow.com/questions/39111373/tensorflow-chaining-tf-gather-produces-indexedslices-warning"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Three feature communities, shifted from 8 network communities, plus .1 gaussian noise so that it can separate the nodes\n",
    "\n",
    "```python\n",
    "labels = np.zeros((l * k, 3), dtype=np.float32)\n",
    "labels[:25, 0] = 1\n",
    "labels[25:55, 1] = 1\n",
    "labels[55:, 2] = 1\n",
    "\n",
    "noisy_labels = labels + np.random.normal(loc=0.0, scale=.1, size=labels.shape)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(5, 5))\n",
    "\n",
    "im1 = ax1.imshow(labels)\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "im2 = ax2.imshow(noisy_labels)\n",
    "plt.colorbar(im2, ax=ax2)\n",
    "```\n",
    "\n",
    "**Loss weights 1, 1.999, .001.**\n",
    "\n",
    "The model separates the two types of labels on one axis, and whether nodes are connected or not into another axis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 238,
   "metadata": {},
   "outputs": [],
   "source": [
    "x, _, feeds = next(batching.batches(vae, adj, input_features, target_func,\n",
    "                                    adj.shape[0], 1,\n",
    "                                    p=1, q=1, neighbour_samples=None))\n",
    "q_preds, adj_preds, v_preds = vae.predict_on_fed_batch(x, feeds=feeds)\n",
    "\n",
    "q_pred = q_preds\n",
    "adj_pred = scipy.special.expit(adj_preds).mean(1)[0]\n",
    "v_pred = scipy.special.expit(v_preds).mean(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 239,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x7f322b78e5c0>"
      ]
     },
     "execution_count": 239,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x360 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(7, 5))\n",
    "\n",
    "im1 = ax1.imshow(labels)\n",
    "ax1.set_title('Real labels')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "im2 = ax2.imshow(input_features)\n",
    "ax2.set_title('Input features')\n",
    "plt.colorbar(im2, ax=ax2)\n",
    "\n",
    "im3 = ax3.imshow(v_pred)\n",
    "ax3.set_title('Reconstructed labels')\n",
    "plt.colorbar(im3, ax=ax3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 240,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, len(history.history), figsize=(len(history.history) * 5, 4))\n",
    "for i, (title, values) in enumerate(history.history.items()):\n",
    "    axes[i].plot(values)\n",
    "    axes[i].set_title(title)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**After training:** $\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 241,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, q_codecs, adj, input_features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predicted adjacency matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 242,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 648x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n",
    "\n",
    "im1 = ax1.imshow(nx.adjacency_matrix(g).toarray())\n",
    "ax1.set_title('Real adjacency matrix')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "im2 = ax2.imshow(adj_pred)\n",
    "im2.set_norm(im1.norm)\n",
    "ax2.set_title('Predicted adjacency matrix')\n",
    "plt.colorbar(im2, ax=ax2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Three feature communities, shifted from 8 network communities, plus .1 gaussian noise so that it can separate the nodes\n",
    "\n",
    "```python\n",
    "labels = np.zeros((l * k, 3), dtype=np.float32)\n",
    "labels[:25, 0] = 1\n",
    "labels[25:55, 1] = 1\n",
    "labels[55:, 2] = 1\n",
    "\n",
    "noisy_labels = labels + np.random.normal(loc=0.0, scale=.1, size=labels.shape)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(5, 5))\n",
    "\n",
    "im1 = ax1.imshow(labels)\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "im2 = ax2.imshow(noisy_labels)\n",
    "plt.colorbar(im2, ax=ax2)\n",
    "```\n",
    "\n",
    "**Loss weights 1, .001, 1.999.**\n",
    "\n",
    "The model separates the two types of labels on one axis, and whether nodes are connected or not into another axis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 226,
   "metadata": {},
   "outputs": [],
   "source": [
    "x, _, feeds = next(batching.batches(vae, adj, input_features, target_func,\n",
    "                                    adj.shape[0], 1,\n",
    "                                    p=1, q=1, neighbour_samples=None))\n",
    "q_preds, adj_preds, v_preds = vae.predict_on_fed_batch(x, feeds=feeds)\n",
    "\n",
    "q_pred = q_preds\n",
    "adj_pred = scipy.special.expit(adj_preds).mean(1)[0]\n",
    "v_pred = scipy.special.expit(v_preds).mean(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 227,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x7f3231db2160>"
      ]
     },
     "execution_count": 227,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x360 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(7, 5))\n",
    "\n",
    "im1 = ax1.imshow(labels)\n",
    "ax1.set_title('Real labels')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "im2 = ax2.imshow(input_features)\n",
    "ax2.set_title('Input features')\n",
    "plt.colorbar(im2, ax=ax2)\n",
    "\n",
    "im3 = ax3.imshow(v_pred)\n",
    "ax3.set_title('Reconstructed labels')\n",
    "plt.colorbar(im3, ax=ax3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 228,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, len(history.history), figsize=(len(history.history) * 5, 4))\n",
    "for i, (title, values) in enumerate(history.history.items()):\n",
    "    axes[i].plot(values)\n",
    "    axes[i].set_title(title)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**After training:** $\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 229,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, q_codecs, adj, input_features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predicted adjacency matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 230,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 648x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n",
    "\n",
    "im1 = ax1.imshow(nx.adjacency_matrix(g).toarray())\n",
    "ax1.set_title('Real adjacency matrix')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "im2 = ax2.imshow(adj_pred)\n",
    "im2.set_norm(im1.norm)\n",
    "ax2.set_title('Predicted adjacency matrix')\n",
    "plt.colorbar(im2, ax=ax2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Three feature communities, shifted from 8 network communities, plus .1 gaussian noise so that it can separate the nodes\n",
    "\n",
    "```python\n",
    "labels = np.zeros((l * k, 3), dtype=np.float32)\n",
    "labels[:25, 0] = 1\n",
    "labels[25:55, 1] = 1\n",
    "labels[55:, 2] = 1\n",
    "\n",
    "noisy_labels = labels + np.random.normal(loc=0.0, scale=.1, size=labels.shape)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(5, 5))\n",
    "\n",
    "im1 = ax1.imshow(labels)\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "im2 = ax2.imshow(noisy_labels)\n",
    "plt.colorbar(im2, ax=ax2)\n",
    "```\n",
    "\n",
    "Loss weights 1, 1, 1.\n",
    "\n",
    "The model separates the two types of labels on one axis, and whether nodes are connected or not into another axis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 159,
   "metadata": {},
   "outputs": [],
   "source": [
    "x, _, feeds = next(batching.batches(vae, adj, input_features, target_func,\n",
    "                                    adj.shape[0], 1,\n",
    "                                    p=1, q=1, neighbour_samples=None))\n",
    "q_preds, adj_preds, v_preds = vae.predict_on_fed_batch(x, feeds=feeds)\n",
    "\n",
    "q_pred = q_preds\n",
    "adj_pred = scipy.special.expit(adj_preds).mean(1)[0]\n",
    "v_pred = scipy.special.expit(v_preds).mean(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 161,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x7f323ce9f208>"
      ]
     },
     "execution_count": 161,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x360 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(7, 5))\n",
    "\n",
    "im1 = ax1.imshow(labels)\n",
    "ax1.set_title('Real labels')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "im2 = ax2.imshow(input_features)\n",
    "ax2.set_title('Input features')\n",
    "plt.colorbar(im2, ax=ax2)\n",
    "\n",
    "im3 = ax3.imshow(v_pred)\n",
    "ax3.set_title('Reconstructed labels')\n",
    "plt.colorbar(im3, ax=ax3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 155,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, len(history.history), figsize=(len(history.history) * 5, 4))\n",
    "for i, (title, values) in enumerate(history.history.items()):\n",
    "    axes[i].plot(values)\n",
    "    axes[i].set_title(title)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 160,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, len(history.history), figsize=(len(history.history) * 5, 4))\n",
    "for i, (title, values) in enumerate(history.history.items()):\n",
    "    axes[i].plot(values)\n",
    "    axes[i].set_title(title)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**After training:** $\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 156,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, q_codecs, adj, input_features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predicted adjacency matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 157,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 648x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n",
    "\n",
    "im1 = ax1.imshow(nx.adjacency_matrix(g).toarray())\n",
    "ax1.set_title('Real adjacency matrix')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "im2 = ax2.imshow(adj_pred)\n",
    "im2.set_norm(im1.norm)\n",
    "ax2.set_title('Predicted adjacency matrix')\n",
    "plt.colorbar(im2, ax=ax2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Communities 1, 2 and half of community 3 have 1 or 2 random ones, the rest of community 3, and communities 4, 5 have another 1 or 2 random ones, all this plus .1 gaussian noise so that it can separate the nodes\n",
    "\n",
    "```python\n",
    "labels = np.zeros((l * k, l), dtype=np.float32)\n",
    "ids1 = np.random.choice(range(l), 2)\n",
    "ids2 = np.random.choice(range(l), 2)\n",
    "labels[list(zip(*itertools.product(range(int(k * 2.5)), ids1)))] = 1\n",
    "labels[list(zip(*itertools.product(range(int(k * 2.5), l * k), ids2)))] = 1\n",
    "\n",
    "noisy_labels = labels + np.random.normal(loc=0.0, scale=.1, size=labels.shape)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(5, 5))\n",
    "\n",
    "im1 = ax1.imshow(labels)\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "im2 = ax2.imshow(noisy_labels)\n",
    "plt.colorbar(im2, ax=ax2)\n",
    "```\n",
    "\n",
    "Loss weights 1, 1, 1.\n",
    "\n",
    "The model separates the two types of labels on one axis, and whether nodes are connected or not into another axis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [],
   "source": [
    "x, _, feeds = next(batching.batches(vae, adj, input_features, target_func,\n",
    "                                    adj.shape[0], 1,\n",
    "                                    p=1, q=1, neighbour_samples=None))\n",
    "q_preds, adj_preds, v_preds = vae.predict_on_fed_batch(x, feeds=feeds)\n",
    "\n",
    "q_pred = q_preds\n",
    "adj_pred = scipy.special.expit(adj_preds).mean(1)[0]\n",
    "v_pred = scipy.special.expit(v_preds).mean(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.colorbar.Colorbar at 0x7f323d113e10>"
      ]
     },
     "execution_count": 122,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x360 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(7, 5))\n",
    "\n",
    "im1 = ax1.imshow(labels)\n",
    "ax1.set_title('Real labels')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "im2 = ax2.imshow(input_features)\n",
    "ax2.set_title('Input features')\n",
    "plt.colorbar(im2, ax=ax2)\n",
    "\n",
    "im3 = ax3.imshow(v_pred)\n",
    "ax3.set_title('Reconstructed labels')\n",
    "plt.colorbar(im3, ax=ax3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, len(history.history), figsize=(len(history.history) * 5, 4))\n",
    "for i, (title, values) in enumerate(history.history.items()):\n",
    "    axes[i].plot(values)\n",
    "    axes[i].set_title(title)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**After training:** $\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, q_codecs, adj, input_features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predicted adjacency matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 648x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n",
    "\n",
    "im1 = ax1.imshow(nx.adjacency_matrix(g).toarray())\n",
    "ax1.set_title('Real adjacency matrix')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "im2 = ax2.imshow(adj_pred)\n",
    "im2.set_norm(im1.norm)\n",
    "ax2.set_title('Predicted adjacency matrix')\n",
    "plt.colorbar(im2, ax=ax2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Communities 1 and 2 have 1 or 2 random ones, communities 3, 4, 5 have another 2 random ones\n",
    "\n",
    "Loss weights 1, 1, 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f0b73554d30>"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, len(history.history), figsize=(len(history.history) * 5, 4))\n",
    "for i, (title, values) in enumerate(history.history.items()):\n",
    "    axes[i].plot(values)\n",
    "    axes[i].set_title(title)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**After training:** $\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, adj, features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predicted adjacency matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhcAAADxCAYAAAB4W5X+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJztnXmcJEd153+vqrv67p6e+9JlGGEEyBKWR7AstgwChAySds0lDksgrPXa2HgBI4G9XMa74LUB+2MZGBCWEIcQsg1aWVgWQjKG5dABCCShYTQ6ZkZzd89Mn3W+/SOzOyOiq7KqurOzoqp/38+nPp1RERnxMqvqdWS8I0RVQQghhBCSFJlWC0AIIYSQzoKTC0IIIYQkCicXhBBCCEkUTi4IIYQQkiicXBBCCCEkUTi5IIQQQkiicHJBSBsjIp8TkUMi8rMa9SIifysiu0TkARF5btoyEkL8Zjn0CCcXhLQ31wG4IKb+5QC2ha8rAXwyBZkIIe3FdUhYj3ByQUgbo6rfBjAW0+RiAJ/XgO8DWCUim9KRjhDSDiyHHulKUkBCSH1e9psDenSs3FDb+x7IPwhg1nhrh6ruaGK4LQD2GOW94Xv7m+iDEOIZvusRTi4ISZmjY2X88PaTG2qb3fSLWVU9ZwnDSZX3mPOfkDbHdz3CyQUhKaMAKqikNdxeACcZ5a0AnkprcELI8uC7HqHPRROIyN0i8tak+xKRN4jIvyXR70pDRN4rIp9ttRzNoFAUtdzQKwFuAfA7obf38wAcV1WaRJaAiJwqIioiXWH5GyJyWQrjfkBEvpB0XyJysohMikg2ib5XEiLyQhF5pBVj+65HOm7lQkQeB7ABQBnAJIB/BfA2VZ1spVxxqOoXAXyx1XL4hIicB+ALqro1rp2q/q90JEqWpJ44ROTLAM4DsFZE9gJ4P4BuAFDVTwG4DcCFAHYBmAbw5kQG9hxHD0whuA9/uBx6QFVf3oRMb1XVbyYtw1JQ1ScBDLZaDt8QEQWwTVV31Wqjqv8B4BnpSWXjsx7puMlFyCtV9ZsishHA7QDeA+BPWywTSRgR6VLVUqvlaBaFoqzJuD2o6qV16hXAHyQyWPsxpwe2INADfwbgarOBiAgAUdXU1pdJZ9Bq/eO7Hulos4iqHkCgVM6ae09EekTkr0TkSRE5KCKfEpG+sG5URG4VkcMiMh4exz45G/1uF5HvicgxEdkvIn8nIjmj/iUi8nMROS4ifwfDQUZELheR7xjlvxGRPSJyQkTuE5EXGnXZ0BTwqIhMhPUnhXW/LCJ3iMiYiDwiIq8xzrtORK4RkX8Jz/uBiDzNqH+Wce7BcIyNIjItImuMdr8a3p/uKvfgAyLyVRH5QjjGT0XkdBF5T5igZY+IvNRo/2YReThsu1tE/lv4/gCAbwDYHC7XTorI5rD/m8P+TwC43FnefW3Yz3BYfrmIHBCRdY18hmlSgTb0IktHVfch+D49G5g3Sf6FiHwXwVPYL4nIiIhcG/5294nIh+fMBOFv7q9E5IiI7AbwW2b/4phLReR3je/1QyLyXBG5AcDJAP5v+H1+d9j2eSLy/0K98RMJVuzm+jlNRP497OcOAGtrXWM93RXXlyw081T9XRrtLxaRH4f66VERuSB8P+4eXi4i3wnv47iIPCYiLzf6XC0i/yAiT4X1Xwvf/5mIvNJo1x1+DmfBQUTOE5G9IvLuUN/sF5FLRORCEdkpgW57r9G+ps4WkW+HzX4Sfl6vNfq/SkQOAPiHuffCc54WjvHcsLw5lPU8LBM+65GOnlyEP66XI1jKmeOjAE5HMOF4OoJwmveFdRkA/wDgFASKYAbA3zU4XBnA/0Dwo30+gBcD+P1QjrUA/hHBk9NaAI8CeEFMX/eE8q0G8CUAXxWR3rDuHQAuRbBENQzgLQCmJfiHfEfYfn3Y5u9F5FlGv5cC+CCAUQT35C9C+YYAfBOBCWlzeF/uDCdndwN4jdHHGwHcqKrFGrK/EsAN4Rg/QjC5yyC4zx8C8Gmj7SEArwiv480APi4iz1XVKQSf21OqOhi+5pyHLgZwM4BVcExJqvoVAN8D8LcSTIiuRbAMfbiGrC1BAZShDb3I0pFg8n0hgu/jHG9CkAxoCMATAK4HUELw3T8bwEsBzE0YfhfB9/RsAOcAeFXMWK8G8AEAv4Pge30RgKOq+iYATyJYTRlU1b+UYEXlXwB8GMFv/V0A/tGYDH8JwH0IdMafA4jz66inu5rpq+rvMry+7QA+D+BPEPwGfx3A4+F5cfcQAM4F8Egow18CuFZE5h6ybgDQD+BZCPTXx8P3P49A58xxIYD9qvrjGrJvBNCLSK9/Jjz/VwG8EMD7ROSXwrY1dbaq/nrY5lfCz+srRv+rEdznK82BVfVRAFcB+KKI9CP4PK5T1btryLokvNcjqtpRLwRf9EkAE+H9vxPAqrBOENhfn2a0fz6Ax2r0dRaAcaN8N4J/Vo3I8ccA/jk8/h0A3zfqBIH37VvD8uUAvhPT1ziCLzkQ/DgvrtLmtQD+w3nv0wDeHx5fB+CzRt2FAH4eHl8K4Ec1xn4tgO+Gx1kABwBsr9H2AwDuMMqvDD+LbFgeCj+TVTXO/xqAt4fH5wHYW6X/b1d57wtGeRUCJf5TAJ9u9fex2utXzuzWQ/s2N/QCcG+r5W3Hl6EHjiGYPPw9gL6w7m4AHzLabgCQn6sP37sUwF3h8bcA/J5R99Lwe9xl9Df3W7597jtcQ6bzjfJVAG5w2tyO4B//yQj+UQ8YdV8yv+t1rn9ed9XrC8Cp5vVU6cv8XX4awMertKl3Dy8HsMuo6w/H3AhgE4AKgNEq/W5GoMuHw/LNAN5dQ87zEEyqXH1zrtHmPgCX1Dh/XmeHZQXwdKf/AoBe5z1XT90S6p8HAPQs13fcdz3SqT4Xl2hga/0NBD+itQiUzDoEX+r7ogkzBME/TYSzzY8jSIM6GtYPiUhWNd7lVkROB/AxBE82/Qj8We4LqzfDSECiqioiexZ0EvX1TgQz/s0IvuDDiJYxT0Kw8uFyCoBzReSY8V4XgieCOQ4Yx9OInLhq9QkAXwfwqXC2fzoCL+Ef1pIdwEHjeAbAEePezYR/BwEcC5dF3x/2m0Fw334a0zdgJ3JZgKoeE5GvIljh+e06fbUEBVBUrkqkwCVa23nS/B6dgsB5bb+hFzJGm81O+ydixoz7LbmcAuDV5rJ/KMdd4ZjjGqzimeOa4YDzxOmuRfQV97s8CYFzX7VribuHgKF/VHU6bDeIYCVgTFXH3U5V9SkJzFe/LSL/jGBF8+3V5A45WkXfuDppMLzOOJ1di8OqOlunzWcQTDCuVNV8nbaLxnc90tFmEVX9dwRP7H8VvnUEwZfrWaq6KnyNqOrcP9l3IvD8PVdVhxEs+QHVE4i4fBLAzxF4Fw8DeK9x3n4YP+RwKbDWD/uFCJ5oXoNgJr8KwHGjrz0Anlbl1D0A/t24rlUaLOf99wZkr9Unwh/STQDegGAp+YZq7ZpFRHoQmIr+CsCG8DpvQ3SdtX41sb+m0Bb7FgBfBvC3SciaNNrgUibNIsuKeXP3IHjqXmv8doZVdc6kaP1+EawE1KLmbwkLv7t7EKxcmL/ZAVX9SDjmaGjubGTcON3VcF8N/C7j9E/cPYxjD4DVIrKqRv31CEwbrwbwPQ18aJIgTmfXop7+GQTwCQQm2Q+IyOokBK0uiN96pKMnFyGfAPASETlLA4/wzyCwIa4HABHZIiIvC9sOIZh8HAu/FO9vYpwhACcATIrILwMw/6n/C4Bnich/DZ2m/gjBcmCtfkoADgPoEpH3IVi5mOOzAP5cRLZJwJmhf8GtAE4XkTeFTk/dIvJrIvLMBmS/FcBGEfljCRxeh0TkXKP+8wiWNS8CkEicPYAcgB4E11kKn5ZeatQfBLBGREYa7TD0S/kCAiXxZgBbROT3E5I3ORQoN/giy48G8fr/BuCvRWRYRDKhc95vhE1uAvBHIrJVREbhRJw4fBbAuyRwfBYRebqInBLWHQTwS0bbLwB4pYi8TAKn0d7QQXCrqj4B4F4AHxSRnIj8ZwRmxlrU1F1N9lXvd3ktgDeLyIvD+7RFRH65gXtYk/DcbyDwERsNddevG02+BuC5CFYsPl+vvyaI09nAws+rEf4GwH2q+lYEev9TS5ayFp7rkY6fXGjgzPd5AP8zfOsqBM6M35cg4uCbiOKUPwGgD8EKx/cRODg2yrsAvB6BffAzAOYcgKCqRxDMuj8C4CiCneW+W6Of2xH80HYiWLqchb20+DEEyu7fEPwwrkVg55xAoARehyBz2gEEzqs99QQPz30JAoVzAMAvAPymUf9dBDbR+1X18Xr9NUI45h+F1zKO4N7dYtT/HMHqw24JvLk3N9Dt/0Zg//xkuBz5RgAfFpFtScicFIrgZjbyIqnxOwj+sT6E4Pt4MwJfACD4Pd8O4CcA7gfwT7U6UdWvInCU/hICXfA1BMv+QPD9/LPw+/wuVd2DwEH5vQj+me9B4Cg5p5dfj8AJcgzBZCHuH2s93dVQXw38Ln+I0MkTwYrqvyMwiQDx97AebwJQRLCScAiB/8PcmDMIVlNOQ8y9XwQ1dXbIBwBcH35er0EdRORiBGap3wvfegeA54rIGxKT2MB3PSLqsc1mpSAibwHwRlV9UatlqYWIfAvAl1S1rbJh+shzzszpP91WM6rQ4vST9t+nS9sTgJBYQn+qXyBw6PTyH0K4gnu6qr6xbuMVgu96pFMdOtuNZwF4rNVC1EJEfg3BsuTFrZalEwgcsRpx4yEkFZ4N4HGPJxarAVyBYHWDhPiuRzi5aDESJIvZhsBs4h0icj2ASxCEok20Wp5OIIhP91cpkJWDiLwDwLsB/GGrZamGiPwuApPPDar67XrtVxK+65ElTS4kyMz2NwhCOT8bejmTJlDVS1otQxyqelmrZehEKh4/caQN9UjrUNWPIfDj8hJV/QwCfwhSBZ/1yKInF2H89DUIHAH3ArhHRG5R1YeSEo6QTsT3J440oR4hZHH4rkeWsnKxHUHGtd0AICI3IrDJ11QKOenRXkSh1qefOT1/vPOB/oYHNs+rh9uve24z4xJSjVlMoaD5hn/lCkG58wO1GqVpPdI/2qMjm6PfbVmje+k+yVUc5dslke+8OPH/GbHLZr/Fiv15qdPvQLYwfzxVzll1br8ZY9xCxd7lfKCrYJXN63G/YHnnXFNe7KyVnZ/4SqfpkaVMLrbADpHciyDUqSa9GMC58uL58u23R+nhX7Z5wT40NTHPq4fbr3tuM+MSUo0f6J1Nn+PzcmbKNK1HRjb3481fno+UxrFiNNGYKdv76bnltT3RjuvuP/3+jP2PfbIcRXEfmB226madfrePPj5/fO/4KVZdvzNh6MtG//j3TdtpXJ47aiegna5EE5VusZMEPzFt52c6nu+LCuc7eab89NVcfjL2BAyV2ETL6Y8ZZTPFDyq1ksnWxmc9spTJRbWrWvANFpErEW7w0guuEhCiEBQ0W7/hyqBpPTK8qW/BCYSsNHzXI0uZXOyFnRJ3K4LkTRaqugPADgA451d6tdHVitufqr06wdUG0s4EyW/8Xc5Mmab1yPoz1qi5WrGqOzJ1Fucz+QdkKraKmyj1zh9PlWzzxYEpe3Vi48CJ+ePNfcetukOzQ/Y4xnzo5IExu19n1eN4MZJh1312Fu7Tf/OQVR4rRGbk4W57S4ujswNWOV+KrnVgpa5UuKSxUuGiTaStWsLn5LseWcrk4h4A20TkNAD7EGSGfH0iUhHS4fjsiJUy1COELBKf9ciiJxeqWhKRtyFIi5sF8DlVfTAxyQjpUFTFdr5bwVCPELI4fNcjS8pzoaq3ofr2u1XZ+UB/wyaNBY6YhpnENZk0Y16hSYX4gBvFsJJpVo9UVCxHTdMUcrxo+2NMO6YP07myULbVX09XySqb9a4Z5FjBHme8FJlpXDOIK4PpSFoescecKtlbAc0aMmTE7qdYtu3tBaM8IM73a6WaSdJy6DTvtzj/8DVmTFO+RYjmsx5hhk5CUiZwxOJPjxCyeHzXI/5KRkiH4rsjFiHEf3zXI5xcENICyh7HpxNC2gOf9UhLJxemP0Q9Xwj6SpBOwffMer5Tge1zYYabuv4NLmZ9ycm6aYZyAkB3JjKC9zq27bzjrzFlJNxyfTnctlbWzaItg5vd003WZbUt2HXdWSMEshm7P0kUydjflWYiU5vBdz3ClQtCWkDFYy9vQkh74LMe4eSCkJQJNhzyVykQQvzHdz3CyQUhKaMQFD1O20sI8R/f9Yg3k4ul5KPwIVU482mQRlGF18lvfKdLKtYGZGZKb3eTMNcHY5ORxttdUh4enrHKhwtR/oyxvJ1qu+z4awx1Ram5CxV7Q7GerJ3LYrA7H5337Metui29x6zyTC6Sv8vZuKzk7Io6UbRzZCwaM2dDWvkxlpKXI0Zeydr3SNNIB+76u8Rcm+Wf0aRvhu96xJvJBSErB/E6+Q0hpB3wW49wckFIyij8fuIghPiP73ok1cnF6WdOo9auqHGmjWaJ63e5zBU0g5Bm8NkRy3cEaqXQNnc3dcNA3XBT0xRihpoCwGBX3irPVKJ+n5ywTR0VJ79A3giHPZ7vtepGeuzdTE3W9ExZZdeGbucxiLevm/dkQTikmw+hUbNDPXOFW9/oGO55rinBtBE0M6Y7TNbuV0uLlLfuQNE4C8ds7DwsYhXCZz3ClQtCUkYhC/45EUJIM/iuRzi5ICRlFEDR4z0BCCH+47se8VcyQjoWQdljRyxCSDvgtx7xZnJRz2ehmXDTZtKKk6XBENzmUfidWc93MqLoz0Qhpwemoi3O3W3T3ZTeZrip62PxgoGdVvnWYvRd3ntklVWnFVupbxs5PH98cMzecr1/Q9EqD2Qj2f9ww51W3Q1jz7fKpk/GiZLtyzHaM22Vx2ajbd+HNm205Z20fTu0FN2nypTdT3Ykkl8Ldmiv5Jz06qZvR9G+91p2wj6NstuPDA1aZc1Hn43O2D4rC2QwfBwqE5NWVeXMbXbTR/fVlLeSt78P1phOSKvr92HKpCdtsOq6Do3b4xgyZtavjfrYWzvVezV81yPeTC4IWUn4/MRBCGkPfNYj/k57COlQVAUVzTT0qoeIXCAij4jILhG5ukr9ySJyl4j8SEQeEJELl+WiCCGp4rse4coFISkTOGItPW2viGQBXAPgJQD2ArhHRG5R1YeMZn8G4CZV/aSInAHgNgCnLnlwQkhL8V2PtOXkIs7Holr9YtuS+vD+LQZJKvnNdgC7VHU3AIjIjQAuBmAqBQUwZ0QfAfBUEgO3krJmMGlscb6+f2L+2E2J7eayMFN6m3ksANvHAgCGjZTeW9faabmHndwVfdnIr2L1iO3f4Mpgbqv+J7tfZdU9c+SAVX5kMrLfm2MAQNG5VlOm4r5DVh2aSHtdHh+vXTk1VbuuGWad3B8TE3Y5LueEK0Nc+u/7H7bK5VJc0ona1M2AMR35rYhzLaWYMXWP4VtSKtRsVx2/9UhbTi4IaWcCR6yGbaVrReReo7xDVXeEx1sA7DHq9gI41zn/AwD+TUT+EMAAgPObFpgQ4h2+6xFOLghpAU1k1juiqufUqKumWdyHrEsBXKeqfy0izwdwg4g8W1Wb3CaJEOIbPuuRVCcXOx/or7mMXi/9d1IpvbmMT1pNgpn19gI4yShvxcLlyisAXAAAqvo9EekFsBaAs27ePhQrGRyYjcIlt/ZHJotDs0NW215Hb5q7m7opvd1wU9MUcu66x626x6bWWOU+I7x0+/onrbrdk3ZbM3T2+Nc2W3WH3mAv+R+djeQdydm7tj58yA55HO6PTA3Daez+mSRLSb0dc+6CcNjlwpChmTHNkOD6thfnXM/1CKNFCGkBFWQaetXhHgDbROQ0EckBeB2AW5w2TwJ4MQCIyDMB9AI4DEJI2+OzHqFZhJCUUQ2evpfej5ZE5G0Abkewq9XnVPVBEfkQgHtV9RYA7wTwGRH5HwiejS5XXcpjIiHEB3zXI5xcEJIywXJmMouGqnobgrAw8733GccPAXhBIoMRQrzBdz3S0i3XTZL0m2D6b+I7PmfW8x2FYLYcpUo2/SyOFfqstnlnC/ay8aTn2qvdlN5maKfrYzGas1NmzxjhpU9Oj9YcEwDE2Bq93r5Tk4Wo356sHdI41Genqx7MNRvKSFqOFUbb/Ok+6xGuXBCSMk2GkBFCyAJ81yOcXBCSOsktZxJCVip+65G6konI50TkkIj8zHhvtYjcISK/CP+OxvVBCLGpQBp6dQrUI4Qkj896pJGVi+sA/B2AzxvvXQ3gTlX9SLjJydUArqrXUVyeiyRZ7Bj1cm3EjZHUufQR6XwCL++l7wnQZlyHhPTIQLaA7aOPz5czhrF6vNRvtZ0y0oQDwJCR0jtfsdWfuW06YKfbNvNYALaPBQCcPfjE/HFPxk7T7aYZN+X9xnY718avjjxhlU/pH4tkz9ops3/WbefIMJfIj4MAWFr+jDTGXIJ8vuuRuisXqvptAGPO2xcDuD48vh7AJQnLRUjHMpf8ppFXp0A9Qkiy+K5HFutzsUFV9wOAqu4XkfW1GorIlQCuBIBe9NdqRsiKopNMHktgUXpkZFNfrWaErCh81iPL7tAZbo6yAwCGZbV3yXuWyyQRl648ri3pfHz38vYRU4+s+uX1eu/4KfN1Jw9ECyJmWnAAKDihqIVKZIY4nu+16g6N2eeOGrubuim93XBT0xSSr3RbdY+eWGuVZ0pR/cCP7InSPaeeapWP56P6oZxtFvn5YTv9d64rClVdJ84i0UrNmybO7yyN+9DMmEsIRfVdjyx2cnFQRDaFTxub0Mb7FBDSCnz28k4R6hFCloDPemSxkt0C4LLw+DIAX09GHEI6H1VBSTMNvToc6hFCFonveqTuyoWIfBnAeQj2g98L4P0APgLgJhG5AsGGJq9eTiEJ6TR8Xs5cDqhHCEken/VI3cmFql5ao+rFCcvS1jQTXrqULeNJ++O7rXQ5SFKPZETR3xWFhpp+FtMlO+zTTf9tptAe6bF9GPo32CGk3Zlo62x323Q3pbcZbur6WLj0d0ey73m2ncK7Syq2vF12ym+TkX57C/Zi2QhLFOdpVZvYetzyA2jCEWAp/g1JneucJ122/4sWjZDiJP0xjL4WjFmyv1fmOJI1PjP6XBBClorPSoEQ0h74rEc4uSAkZebi0wkhZLH4rkc4uSCkBfgcn04IaQ981iOcXCySZnJX0MeCmKgCpUrHR4IsGxmolZr7eDHKV5ER23DtPtkNdts+DiYDTorvKSPF94EpOweGOOOYKb3NPBaA7WMBwPIXOWXLUVuGrtrbpndlbL+JoZx9LROFKNW5ZJzt5N0n3Eb9C5YrT4Tb73Kdm0npn6/h4yJZ+7ettd1mHN+Y5mT1XY9wckFIC/B5OZMQ0h74rEc4uSAkZXy3lRJC/Md3PbLiJxfNmCiaCS+NM5ssxUzCHVRbR5L3fsEyNWmYYiWL/TORmWLnfSfPH5dHbNOBFOxl45Hn7J4/XtMzbdX9wfpvWeWrdv/2/PHxr9s7kKqzGeW/nhulFe+/307pvfc5tvnilC1H5o9vPeNGq+6VD7/WKj9n9Kn5450n7K1X+h0Tys49UTrw8fdstOrEiUQ1M5SvedCunNwUXVzfETs09sAL7TKykZlk9Mf2v5OprXbT3sPGd975+p94jmMOmo0+tzX32Td7ZkPt387APttso6+2zU5HH4vStq+53zFfOBYG00o2tdkeM3fcHqf3WFTe/5vxYb99e6ObX+6Jzitc8+3Y86rhsx5Z8ZMLQlqBz45YhJD2wGc9wskFISmj6retlBDiP77rEU4uCEkdWZDhkRBCmsNvPdI2k4vl8jWI842IG6ee38Ri+60H/SxaR5L33mdbqe/0dxVw1qq98+Wnn3d4/niq1GO1NcNJAWBL77H546LjOHHD2POt8jNGDs4fj77e9s9w+dWRJ+aP7znlVKvOTelthpu+4qHXWXXnb/y5VR4v9s8fn7Pa3vb98Wk7Jfn2pz8enXf5uC1gEyGkAzF1w19uuBusa7wpNtZvsjg+b//OVi8ylHZVE22HbnIccioxPhhGWO3BylRzQsFvPdI2kwtCOgXf9wQghPiP73qEkwtC0kaTy0VECFmheK5HOLkgpAX47OVNCGkPfNYjbTO5SMPXoJmt0evltaBvBKmFeu6I5TsVFUwbW5yPFSIvgVlni/XZsp2KeyYXnVd2lpTX9Ng270cmo7wRR2dtT4TJgu3LcUr/2Pzx8byd5yJu2/Rnj+63yqaPhctk2fYnOWGkPQeAqWIkU3f2hFWnZcfuH/fIu5TU3IsdY8EW8YafittPnHxO20yf/VlUZuxt6uPObYpM5GeRydnfuUreyQ1ibrlufB+RbzL9t+d6pG0mF4R0Ej4vZxJC2gOf9QgnF4S0AJ+9vAkh7YHPeoSTC4OlhJcmOQ7pbFT9Vgq+IwC6jXzWw92z88cZyVU5I6LLyoNthwyeKNlmBnPn1ZGcvZzek7VNHUPZSIah3CziMHc3fcRJ6X3umsetsmkK6cnYY+acMozV+HwzZhCXNB6H3TE0PmV27LkxVGadXXCX69oMM46WnM8lZkwtlhpqV/Vcz/UIJxeEtACfQ8gIIe2Bz3qEkwtCWoDPtlJCSHvgsx7h5IKQlFEIKh57eRNC/Md3PbLiJxeLTfHdjN8EfSyIi8cPHN6Tr2TxxHS0xbkZJlos234UUwU7LLBUcVIzG7ihqPlKpB4fPrTBqhvqs235P+uOtmT/+WG77Ui/7a8xlIvOHXC2TXdTepvhpq6Phbskfng6ug+rnBBMLdjjaMX4BjrpqaWrq3q7OkjGlmdB+Kvd2C522/+KLF+EOuOYfWmpaFVlB+0Q4vJk9Bk3Je9CIayiGX4qbvjrpP29MmXMDg9G552o/d2shc96xN9pDyGdSuiI1cirHiJygYg8IiK7ROTqGm1eIyIPiciDIvKlxK+HEJI+nuuRFb9yQUhLSOCRQ0SyAK4B8BIAewHcIyK3qOpDRpttAN4D4AWqOi4i66v3RghpOzzWI1y5IKQFJPTEsR3ALlXdraoFADcCuNhp87sArlHV8WBcPZT4xRBCWoLPemTFr1zEbeUe5xvRjN8EfSyIiQLFHT2WAAAgAElEQVSoVBoOIVsrIvca5R2quiM83gJgj1G3F8C5zvmnA4CIfBdBYocPqOq/Ni20R5Q1Y6XYzpciNVZwfC66s3bq5YlilDciI/Zj39isnXp7uCfKVzHcb+euGMzZPgym/0POSfft+oFMFCIZdh6wNxvfvu0xq2ym9IbtPmL5WADAuv7Itl9w/AcW+E6ok5K6VtuYdgvOq+eyYIY2OF//BT4WsfK5z8TGwE74xMK052a/jo9DU6EXtnxaNsr5vFNX+8ZowfARaTbPBfzWIyt+ckFI6iiAxuPTj6jqOTXqqnXiaqguANsAnAdgK4D/EJFnq+qxRgUghHiI53qkrllERE4SkbtE5OHQkePt4furReQOEflF+He0Xl+EkADVxl512AvgJKO8FcBTVdp8XVWLqvoYgEcQKIlUoR4hJHl81iONrFyUALxTVe8XkSEA94nIHQAuB3Cnqn4k9C69GsBVDfTnFe1ssmCIaxuTTAzZPQC2ichpAPYBeB2A1zttvgbgUgDXichaBMubuxMZvTmS0yM7i8D5++aLA4b2HKi3o6cRQuiGIg5tsk0UxX2RWXm4Er/mf9w4XoejdmXGXn43xx1/jz3m+OVjVrm7K9rd1E3p7YabFgzTwuNffIZV5y6fD/TZZh2TfDH6t5DJOGYG17piPDmXSvaz6mC/bR4w+83nHRuPQ58h38y0vRtsrscONzVlEMfUNXPUvkdDGybnjycOD9p16yatclemtmlmetZOM5+fispdPfbnlHFMc93dUf3UeCTf7AfvrDleTTzWI3VXLlR1v6reHx5PAHgYgY3mYgDXh82uB3BJw5dCyIqmMSeseo5YqloC8DYAtyP4Xd6kqg+KyIdE5KKw2e0AjorIQwDuAvAnqnq0eo/LB/UIIUnjtx5pyudCRE4FcDaAHwDYoKr7Q+H2M8SNkCZIKPuNqt4G4DbnvfcZxwrgHeHLC6hHCEkIj/VIw5MLERkE8I8A/lhVT0i95cfovCsBXAkAveiv05qQFYAC2riXd0dBPUJIQniuRxqaXIhINwKF8EVV/afw7YMisil82tgEoGrcaxjusgMAhmW1z9lKOwqmJ/cdf5XCcpGoHqnlpVbPe82Il3SXi9VJ0+ymxV40Tj+Wj0CdIawwRjfMMialt+tjsXp42ioXSpEfSK7LFsIMnXX9KIYH7JDcrOGXMJW3/RB6uu3w0r5c5Csx4fghFAr2vyIznDefcVK4OzKVjHPXrz1h1RWdfk0/it5V9rX052xfjrIR8ur6crjfnWwu6te990ODtu9Jl3HtU7B9QprHXz3SSLSIALgWwMOq+jGj6hYAl4XHlwH4evLiEdKhaIOvDoF6hJBlwGM90sjKxQsAvAnAT0Vk7hH3vQA+AuAmEbkCwJMAXr08IhLSgXTQxKFBqEcISRqP9UjdyYWqfge1115enKw4hKwAmkt+0xFQjxCSMJ7rEWboXCQ++inEpTJ35TWp19aHa+s0msz0S5YD14ehVHub7+UatxKf7iH2ixKXVtrNY2H6WADA1pEoM4e7lfsTlWg7+2yv7RvR1237JZj+GW5eiOGc7WtQMLa7zzo+DGuHbX8Xc5zZgn2T1g3ZbfOGDN2ODG6OidH+mfnjE5O2v8Oq3hnUwk0Vn8va9/7oRJSKvTvG18Q9d2I4ukeSbV4p+KxHOLkgpBV47OVNCGkTPNYjnFwQ0gLE4ycOQkh74LMe4eRikSyXqSDOfLEUGdptF9c400w9s02cecgLOiwSpFOoTE3Xb5Qwa362hHDXJtbE3XBT0xSyvtdOe71vcmT+uLcr3lRUNmz+buipG745ZJhJ3N1rXUpGGGi/k+4765g+ysXIbGLuDAsAByrDVtncvXbASU8+nLNDU00KZftf5aBr8umPrmdiuteqk167bU82uk9Zw2zj3q+6eK5HOLkgJHXEa0csQkg74Lce4eSCkFbg8RMHIaRN8FiPcHJBSCuoveEiIYQ0hsd6hJMLz6jnI9CMT0bceb6nA48bs548XvpZmHgen75icPY1yY7Y9vny+Piyjzu52fY9GIhp6/pYSJetvs303+b25oAdMgrY4aamjwVgh366/Zgpsd1yuWzXuSmyzbazTr/TU/a26iNGuvIZJ634jBOaao674LpP2Oce64/CT2dm7LpdY2utshlC6t6/yRlb3vxsJJO7Tf3YpL0XTqEv6mvqaFRXKdVNmG3juR7h5IKQFuCzlzchpD3wWY9wckFIK/BYKRBC2gSP9QgnF56TlImimXBN780KDj6YcUj74+4ymgZ9R+oYzeMydFbUfWP+0F2ad3cSNTNvuuGmpmnBzS55bMrOammaJLq6nBBRx4RSMtoWi04oqnMpJcvcYi/957rtcczQVDeTZmbGHscMnS3lnZ1YR+xwXTfbp0mXu5Nspva/UvfeF81sqRmPZwdLhJMLQlqAz8uZhJD2wGc9wskFIWmj8DptLyGkDfBcj3ByQUgr8PiJgxDSJnisRzi58JxmfCUWm/a6Xnir7z4MvstXDZ+XM1cMbmhnzg5NxJSdSno5xj3w685Ool922saEojY4RNDvgJ3a2t3d1MT0lXB9LE4aPeaME8l3YGLIqls3YKcVzxsptI9l7BTZ3YP2jqRDPVHK7KMZO5Qz6/gpmGGha5wdU3tOP1Kz30LB8blwdjo1/T7cXVz7HV+UmelIhpyTrtzdxdVM8z07HIWwLmZXVJ/1CCcXhLQCj5UCIaRN8FiPcHJBSCvwWCkQQtoEj/UIJxeEpIyo38uZhBD/8V2PcHLRQcRtSx7X1mWxKcaXworLVeGxlzdJkUXY2RvBTb3tblNuprMux6TprpfSu8fIkdGVjd8+3hwzX7RTeHdn8zXbTs/avjC5nJ2Xw82DYfdjy29uuV7Mx//7M30uupz756YZrxi/50olPo33bCk6N072hvBYj3ByQUgL8PmJgxDSHvisRzi5IKQVeKwUCCFtgsd6hJMLz1msuSAuTNVHOt4MYuK5rXTF4OyKinL8sv5yjDv6o+VRwW7K6SlnZ1Fzmb+n2zUz1E7p7YabxplCjkzbe7yapoRZZ0dS1/wymY3GLczaJhT3YzN3BnVNPGOH7J1ui2sic0tlNv7em+ahitNvyTF9mOnWC06/hzP2fTDNJmUjDXoTkcbhCX7rEU4uCGkFHisFQkib4LEe4eSCkBYgdfarIoSQevisR+LdWgkhhBBCmoQrF56zXOm/43wwVpT/QxMsNr16VTxezlwxOEZuTcvnwhh3aqtdtS6m7cJ+nMdWo+1gvx3a6fpVDOeienEM92a4qbttupvS28T1sdg6ZKcKnypGKbLHnC3L3d3j1w1EKbMPd9v99jrXMm34k/Q7ac0HV09b5c3DJ+aPdzu+HD3O1vP93YX5YzcEt9vxNTFTiff22f2sGbBlMM998sjo/PECX5JG8FiPcHJBSNp47ohFCGkDPNcjnFwQ0go8VgqEkDbBYz1S1+dCRHpF5Ici8hMReVBEPhi+f5qI/EBEfiEiXxGRXL2+CCEh2uCrQ6AeIWQZ8FiPNLJykQfwIlWdFJFuAN8RkW8AeAeAj6vqjSLyKQBXAPjkMspKEG/rX2zdUmgmD0dSuTZa5ROS1LgCv728lwn/9UhaPhcGvYeXJ32zm566z9kivFCJ8isM5Wz/DNPPouTknzC3TQfclN52neljAdg+DQO5glV3fMbegn22FPlD5Bz/jFl3HCNnxmrHv8FN2z1djNquGbG3QndzV5iP3uZ1AgvzXnQZMuadtOKlPrtfy5djCem7fdcjdVcuNGDOi6c7fCmAFwG4OXz/egCXLIuEhHQaGm06VO9VDxG5QEQeEZFdInJ1TLtXiYiKyDlJXkqjUI8QkjCe65GGQlFFJCsiPwZwCMAdAB4FcExV56aiewFsqXHulSJyr4jcW0S+WhNCVh4JLGeKSBbANQBeDuAMAJeKyBlV2g0B+CMAP0hM/kVAPUJIwnisRxpy6FTVMoCzRGQVgH8G8MxqzWqcuwPADgAYltUdZEUm1WjG9LGiQ16T+SVsB7BLVXcDgIjcCOBiAA857f4cwF8CeFcioy4S7/SIE/snOcfdY3Y2kWFix623Km62dcNSxXk2NJrm83aY5UTWXj/PGo+zBWfJ3zQ7FIt23bGMbb4wdzd1U3q74aamKSTvjDkxZfebMcwZGeceTc/a5paSYYYYm+q36mYL9n0wzRn9PbZp5sikHfJqmpJcU4y782nBuN9lJ/X6CUde01RTNFKFL8pE4rEeaSqJlqoeA3A3gOcBWCUic3dmK4CnmumLkJVME8uZa+ee2MPXlUY3WwDsMcoLnvxF5GwAJ6nqrct9TY1CPUJIMvisR+quXIjIOgBFVT0mIn0AzgfwUQB3AXgVgBsBXAbg640OSsiKp/EnjiOqWsu+We1RZ75nEckA+DiAy5sRbTmgHiFkGfBYjzRiFtkE4PrQLpMBcJOq3ioiDwG4UUQ+DOBHAK5tZmBCViyamJf3XgAnGWX3yX8IwLMB3C3B8vpGALeIyEWqem8iEjQO9QghSeK5Hqk7uVDVBwCcXeX93QhsNS1nsduSk8ZII1V4vc8w0dTbPpCMrfQeANtE5DQA+wC8DsDr54dQPQ5g7VxZRO4G8K4WTCz80SMxOZZlaNB+Y2IiOm56P+zGxjxxpu2cunHBuYblWm0fBsnafgtx6cvN9NQAsHY4CsN0r2x6qge16B6cscvZSH5323Q3pbcZbur6WJy24ahVPjbTN3989Kj9uQyN2DJUemvf38G+2s6/B/aNWuWNW8at8qThK+GmHC+V7YubKUf+Jl05u6177lHDL6R/OPLryWQXMVPwWI9w4zJCWkASIWRhlMXbANwO4GEEqwEPisiHROSi5b8KQkgr8VmPMP03Ia0gobgpVb0NwG3Oe++r0fa8ZEYlhHiBx3qEkwtC0qbDUnsTQlqA53qkIyYXHWGD9xjz/i4lhXdS6b/bHYHfuxl2NKbvhOMLofl87bZJjekym61dByzcVt2scn0sjLZ9fXYOh5yznXifsTW5m/Z6ZHi6Zt1Qj32PzPrJrO2rYW6bDtgpvTNOWm7TxwIAVvVFfhX5EfseuanMTbrrpApfNxjJdHzQya3h/CjNrdLdbend3BWma0xPj32vc8727END0T3cczjy+3C3da+H73qkIyYXhLQbPisFQkh74LMe4eSCkFbgsVIghLQJHusRTi5IaqSxY6rbl7cmM4+VworBMVfozDKl+45h7T31zCKL+6LMTNvL9vmMnQbbTIvd65gZZvJRWGW5bC/VH83Y6bWnZ6O2hVl7jMPddjptc3dTN6X30SNDtryrovuyaWjCqtt3fMSW4YRh3lhl74rqmhoOGym+e3vt6x6bsOU1w1iPT9omlFVDdjisaTaZOm6beNwU6quMcF4zHfmiPmqP9QgnF4SkTYM7FRJCSE081yOcXBDSCjxWCoSQNsFjPcLJBSEtIKG0vYSQFYzPeoSTC1KXZvwhmvF3aKZtM74T3vpZGPi8nLliqLfl+pQdSrkc405vsGVYHdPWNcqL47hgZgfP9dj+BCVnG/B1Q9G1ZZ2wUNMfI9ftbNWesWXIGamu3SznbtprMyzU3TZ9yPGVMMNNnzoxbNWN9Nv+DmaYrRsyenzC9hFZu2py/vjgQdt3Y+PGY1bZ3JZ+zYj9XXDDVs1xewbsMOBu5z6UjfDd7u7oQ4vJEl8Tn/UIJxeEpI3nyW8IIW2A53qEkwtCWoHHSoEQ0iZ4rEc4uSAkZXzPrEcI8R/f9QgnF6QpluLPUG9b9UbPbQefinqIux81SYc4w3bW2SQ6xt8hsTEXYWePznXljWR08zuUnC3X8+Uo90K5aOenqJgpv51twCdnbF8JKw+GM+Z03vZhmZqJyqW8LU/ctulu3ohuJ512lyHj8Um7beWILe9Mf5S7QiZsGaZHbXnNvBwL03/bbc3ryXbZPhezTv6PUld07/NTUT9aaf7L4LMe4eSCkLTx3FZKCGkDPNcjnFwQ0gJ8Xs4khLQHPusRTi5WKEmZGeLCVJdiBnHpBFOIhcdKoaOJMW9UJibtN1LYFXVwb50xYs7VkrM7qNHWXcZfv/aEVe42wk/X9dthlnkjZNQNuVw37Nwjg6Kzg2p/ty3famOX0bEpO0TUpccM33TCVBeEmxqmkKetP2LVPZZZY8vUE5ksCpvsfreMHLfK+XJ0H4plO4V3bsA2zWQN08y0k3p9dNgep8sw65jmK8ks4vvmsR7h5IKQFuDzEwchpD3wWY9wckFIK/BYKRBC2gSP9QgnF4SkjfqdtpcQ0gZ4rkc4uWhjluLTkJQPQ8f5QqSA7/HpbUHGsIFXytXfr4Jks8ax7SNQOXOb3fb+h+ePtWSncF4QXmr6RrhpxbOOTEZZX2v7COAG+9xMX+RPUJnN23UDjt9COboPM0edbb+dUNSM4SNwoGKn1y5OROGRmWlb9t5nHLbKhVJUP3bY7mdw1PE1MPw8zBTjgL29OQBMG/VuWK2b0tsMN3V9LM7evNcq//TQpvnjspMSfef+9Xa/BePanR9s36Aj71FDJidletkJMZ0tRvJa/iNNKgXf9QgnF4S0gqScBQkhKxeP9QgnF4S0AJ+fOAgh7YHPeoSTC0LSxvPkN4SQNsBzPcLJRRvjg79DM9uxu/J2WkrvZvDZEastqJSbez9EjXot2bbw7KP7rHLZ9bOwOorR6k7dAn8No3xkt73J+qhzbmXG2F7crZuyfRqg0ZdqaIOdj6LL2VZ91Ni2vOL4NBzrj/w1yk7dYM5ObV3pjuqLq23/jM3Ddm6N6WLky+GO6eauWDcY5d44PDlg1ZnbpgN2Sm8zjwVg+1gAwMbhifnjx6bX2nVr7DwX7j0zmXZSpucHo3Jfny2DuX08AAxKVH/w2FBUoYtJ/930KanByQUhLcBnpUAIaQ981iOcXBCSNgqvHbEIIW2A53qk4cmFiGQB3Atgn6q+QkROA3AjgNUA7gfwJlUtxPVBkiXJ9NpxxPXbySm9l/P++uyItZx4rUeKMWaQJDFCVdfcn4lpWKebjLuMHpklJg4PWjW9q2at8gkjZfZAvx1WOROze2nBCWktGvWVWbtut7Mb6JqRyNThmi8O7LXNQ8eGIpl6e22zwsGDI1ZZTkTjFDbbqczdcNPdU5Ep5Omb7LDaRw/aZpLu7siE5obyqrNiYG5QO7nfvvf51fa55n0ojPVGfZYWYRbxWI80881+O4CHjfJHAXxcVbcBGAdwRZKCEdLRaIOvzoN6hJCk8FiPNDS5EJGtAH4LwGfDsgB4EYCbwybXA7hkOQQkpNOYS37TyKuToB4hJDl81yONmkU+AeDdAOZcW9cAOKaqc+uIewFsqXaiiFwJ4EoA6EX8TniErAhUIZUOmzk0BvUIIUnhuR6pO7kQkVcAOKSq94nIeXNvV2la9SpVdQeAHQAwLKv9vRNtSJwPQFr+GD4SFx7rTTjsCvsleKlHFoR9ztZomDBWqvAm2rpVZSfs1mg7tM4O1xxwfBxGeqJrHc7Z171rLPI9yI3YY+Sy8aG+Jj1dtg9LydiS/YgTXrpx65hVzhqP20cnnLYbj1nl6dHIR8TdNn3nUxus8qa1Ub3rY3HWSXaq8EkjTbe79fyJfK9dno3a5rvsezQ65IQMG/SujUKCpWvlbbn+AgAXiciFAHoBDCN4AlklIl3hU8dWAE8tn5iEdBadZvJoAOoRQhLGZz1S1+dCVd+jqltV9VQArwPwLVV9A4C7ALwqbHYZgK8vm5SEdBIKoKKNvToE6hFCEsZzPbL4OCjgKgDvEJFdCGyn1yYjEiErAI+9vFOGeoSQxeKxHmkqiZaq3g3g7vB4N4DtyYtEGiXOr8IHH4u0/D6aGSeubZp+KkktZ4rIBQD+BkGSg8+q6kec+ncAeCuAEoDDAN6iqk8kM/ri8FaPLMgbkcKQxfptFoOburpUjt+K3sRMV93t9lPJ1CyXnbr+biddiVHtpsSeNHwWAGDNQOSn4G7HnnV+PDnDxyFftv+lVYq2TOZ9MfNYALaPBQD0ZiOfkVmnX9cHw9wWPpt1t1y3ZVjVF/lZHClG6b8Xkw/LZz2ylJULQsgikYo29IrtI0hIdQ2AlwM4A8ClInKG0+xHAM5R1TMRhHz+5TJcDiGkBfisRzi5ICRtGl3KrP9Ush3ALlXdHWa1vBHAxdZQqnep6txj4PcROE0SQtodz/UI9xZpY3wwfcThu3wucWGqcWx/We1Qs2oEyW8aXs9cKyL3GuUdYVgmEOSE2GPU7QVwbkxfVwD4RqMDrzQka5sO0jBVT2+yTTGrlmkcd9dRc1m/4Cz5F2NMKK5JwjQzuDudqlM2+50t2mP2dtthq6a8xyftsE8zfbbbNk52Fzelt4tpCnHNTDPOrqhmWnTX3JJ1zjVldO9RM/iuRzi5IKQVNL6b4RFVPadGXcN5IkTkjQDOAfAbDY9MCPEbj/UIJxeEtIAmnjji2AvgJKNcNU+EiJwP4E8B/Iaq5t16Qkh74rMeoc8FIWmTnK30HgDbROQ0EckhyB9xi9lARM4G8GkAF6nqoeQughDSUjzXI1y5IG1PM74SS0mZXitV+E492pCcEcnsCaCqJRF5G4DbEYSQfU5VHxSRDwG4V1VvAfB/AAwC+GqwTxieVNWLljx4JyLph6Lmji/heyDus2G0Rj49m7NqXNu+mcZ7MGc/hE7ORCGZXU4q634nhDRv+E64YardTqpw0yej4oa0lp302kZo6qqhGatuQSpu41pzA/aYfUN2avNpw1fC3TZ9smCHoprjuD4Ww712v1OGDAVnm/qZBT4X0bX3D0T9ZDLNfhf81iOcXBDSCpJZzoSq3gbgNue99xnH5ycyECHEPzzWI5xcEJI2CkjjjliEELIQz/UIJxeEtIKEnjgIISsYj/UIJxek7UkqbXe98xLN2+GvTugs4vwoHJ8F6XbUoXnuUpS4K4Mxbs+xOv1mjLwNjpPAAnkN+3t+yva5yObsc81tzAv9dm6I/GzkX1DMOP4D07ZfQqUSXZvrM1Bw8kiY+R/MMQBgpmzLa340bo4Ot1wyfBzc1NvTR/utcn4wGtd1WTnhpCA3/VTca5lyfFrKhh9FcaJ2HQBkDT+WktGv64fSEB7rEU4uCGkBUvF4PZMQ0hb4rEc4uSAkbRTNJL8hhJCFeK5HOLkgbU+jIaNuXbX6NBBoUslvVi61zAWuqcPd6dSol6zdVk/eZDd9KEozrWU7xHEB5ufpmEGkyzYBmLuv7n+R3e/QTfa5mVx0bqVgh4Fm+uy02DobhZRme+x+tWL3222k256YtvuJC4nM9dgymEv5hVknpXefndLbNIWUS85upTm7bU9PVJ463mfXDdi7rWa7ovK0Y7ZBt/3ft68vaju5f9CWzwm7NU0sbkpvN9zUNIV0D9nyZRxTjfn1KJZN0xuawnc9wskFIa3AY6VACGkTPNYjnFwQ0go8VgqEkDbBYz3CyQUhaeO5rZQQ0gZ4rkc4uSBtR72t0E0/iiR9LOJ8OZrFZy/vtqBSwwdCXV8Dp94weKtt5kfXoXGrXCo5DRrFeZrUom2Dt4zubqSsc24ln69dN2WnxTb9QtyQzIFBO8V3n5nGu9euG5+MwjdLjm/EuiF7u3OTw5kBq7xmYNoql/qivtywT3fLdTM9ebFoh8p2O21nDV+O0WF7zLLja2Jed361/e9vdMg9N5LX3TbdTelthpu6PhZrhmPumXF/pen0337rEU4uCEkd9Xo5kxDSDvitRzi5ICRtFF4rBUJIG+C5HuHkgpBW4O9qJiGkXfBYj3BysUh8yJewXPh+bUn5TdTrK66tWbf9ZbatthF8jk/vaGLue2ViMnUZevd2xzRErLxaKtasc/MydDl+AKZPQ0/W9mEo9kU+DsWS7e/gpt6eLdVOX+1uud7fHfmedDk+C0en7DTdQ0ORH8iqQdu3pOxu194VydjljDlTsHN4DPZEMqx2/DPcazO3VS+W7ftQzNZO6R2XcR4A1vRF4x44MjJ/vBiV4LMe4eSCkFbgsVIghLQJHusRTi4ISRtVoOzxeiYhxH881yOcXCwS30wFScJrq962VijqTj3avCAeP3G0BbV2LM1kF7Y1TzPTgTupwjPr11pl3RMtzasbluqufcel/846MhnjVnLO9yAmdbibgjw7bKevNtN/T43bKbOnYJcnho1U4Y7JZMrcSdQJj5wdts04ZSN9ddkJGX3yyKgtnxEWWnRShfcPz1rlPYejcyvqpi6374O5A6w6bV1Tx8FjQ/PHhTHbZNK71ja/HDGux+23f8CW19yZteiEvx52wnlNU0jOSHNez5xSFY/1CCcXhLQCj5UCIaRN8FiPcHJBSNoogIq/SoEQ0gZ4rkc4uSAkdbRK6khCCGkGv/VIqpOLCYwf+abe/ASAtQCOpDl2HXyTB/BPJt/kARqQKbvJfWfXogez+7L6OaWpjhReO2L5zgTGj3yz8tXqeqTOzuix9bubEKL6A2Mgj1sX91H/6Zes4oJvZ8F9w2A8pu4tjkz+4Js8gD8ydZQeSXVyoarrAEBE7lXVc9IcOw7f5AH8k8k3eQA/ZWoYj22lvkM90ji+yeSbPICfMjWMx3qEZhFCWoHHSoEQ0iZ4rEc4uSAkdfzecIgQ0g74rUdaNbnY0aJxa+GbPIB/MvkmD+CnTPVRAB5vldxG+Pb5+yYP4J9MvskD+ClTfTzXI6Iez3wI6URGutfrf1rzqoba/uvBT97XtvZgQsiy4bseoVmEkNTxO20vIaQd8FuPcHJBSNoooB7HpxNC2gDP9UimfpPkEJELROQREdklIlenObYhw+dE5JCI/Mx4b7WI3CEivwj/jsb1kbA8J4nIXSLysIg8KCJv90CmXhH5oYj8JJTpg+H7p4nID0KZviIiuXp9JSxXVkR+JCK3+iDPkqhoYy+yAOqRqvJQjzQuF/VICqQ2uRCRLIBrALwcwBkALsWQLLkAAAPuSURBVBWRM9Ia3+A6ABc4710N4E5V3QbgzrCcFiUA71TVZwJ4HoA/CO9LK2XKA3iRqv4KgLMAXCAizwPwUQAfD2UaB3BFijIBwNsBPGyUWy3P4lFt7EUsqEdqQj3SONQjKZDmysV2ALtUdbeqFgDcCODiFMcHAKjqtwGMOW9fDOD68Ph6AJekKM9+Vb0/PJ5A8KXf0mKZVFUnw2J3+FIALwJwcytkEpGtAH4LwGfDsrRSniWhGnh5N/IiLtQj1eWhHmkA6pH0SHNysQXAHqO8N3zPBzao6n4g+JECWN8KIUTkVABnA/hBq2UKlw5/DOAQgDsAPArgmKrO7RGc9uf3CQDvRpRMeU2L5VkaHj9xeA71SB2oR2KhHkmJNCcX1Xarp/YMEZFBAP8I4I9V9USr5VHVsqqeBWArgqfFZ1ZrloYsIvIKAIdU9T7z7VbJs3QUWi439CILaOPPffmhHqkN9Ui6pBktshfASUZ5K4CnUhw/joMisklV94vIJgSz7NQQkW4ECuGLqvpPPsg0h6oeE5G7EdhxV4lIVzjLT/PzewGAi0TkQgC9AIYRPIG0Sp6l4flWyZ5DPVID6pG6UI+kSJorF/cA2BZ65uYAvA7ALSmOH8ctAC4Ljy8D8PW0Bg5tftcCeFhVP+aJTOtEZFV43AfgfAQ23LsAzGVtSU0mVX2Pqm5V1VMRfG++papvaJU8iaCVxl7EhXqkCtQj9aEeSZfUJhfhrPBtAG5H8AW7SVUfTGv8OUTkywC+B+AZIrJXRK4A8BEALxGRXwB4SVhOixcAeBOAF4nIj8PXhS2WaROAu0TkAQTK/A5VvRXAVQDeISK7ENgqr01Rpmr4Jk9DKACtaEOvetQLyxSRnjC8blcYbndq8leUHtQjNaEeWTy+ydMQvusRpv8mJGWGZbU+r+ulDbW9o/SVmml7w7DMnQj+aexFoMAvVdWHjDa/D+BMVf09EXkdgP+iqq9d6jUQQlqL73ok1SRahJCAhByxGgnLNEMRbwbw4nAJnRDS5visR5j+m5CUmcD47d/Um9c22LxXRO41yjtUdW4Xx2phmec658+3UdWSiBxHsPR7pHnJCSG+4Lse4eSCkJRRVTez42JpJIyujUPtCCG18F2P0CxCSPvSSFjmfBsR6QIwgoWZJQkhK5dl0SOcXBDSvjQSlmmGIr4KQfgdVy4IIXMsix6hWYSQNiW0fc6FZWYBfE5VHxSRDwG4V1VvQRBWd0MYZjeGQHEQQgiA5dMjDEUlhBBCSKLQLEIIIYSQROHkghBCCCGJwskFIYQQQhKFkwtCCCGEJAonF4QQQghJFE4uCCGEEJIonFwQQgghJFH+P0AAn5iWmk9uAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 648x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n",
    "\n",
    "im1 = ax1.imshow(nx.adjacency_matrix(g).todense())\n",
    "ax1.set_title('Real adjacency matrix')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "x, _, feeds = next(batching.batches(vae, adj, features, target_func,\n",
    "                                    adj.shape[0], 1,\n",
    "                                    p=1, q=1, neighbour_samples=None))\n",
    "adj_pred = vae.predict_on_fed_batch(x, feeds=feeds)[1]\n",
    "im2 = ax2.imshow(scipy.special.expit(adj_pred[0].mean(axis=0)))\n",
    "im2.set_norm(im1.norm)\n",
    "ax2.set_title('Predicted adjacency matrix')\n",
    "plt.colorbar(im2, ax=ax2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## 1 or 2 random ones for each half-community\n",
    "\n",
    "Loss weights 1, 1, 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f0b7cf1e630>"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, len(history.history), figsize=(len(history.history) * 5, 4))\n",
    "for i, (title, values) in enumerate(history.history.items()):\n",
    "    axes[i].plot(values)\n",
    "    axes[i].set_title(title)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**After training:** $\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, adj, features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predicted adjacency matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 648x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n",
    "\n",
    "im1 = ax1.imshow(nx.adjacency_matrix(g).todense())\n",
    "ax1.set_title('Real adjacency matrix')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "x, _, feeds = next(batching.batches(vae, adj, features, target_func,\n",
    "                                    adj.shape[0], 1,\n",
    "                                    p=1, q=1, neighbour_samples=None))\n",
    "adj_pred = vae.predict_on_fed_batch(x, feeds=feeds)[1]\n",
    "im2 = ax2.imshow(scipy.special.expit(adj_pred[0].mean(axis=0)))\n",
    "im2.set_norm(im1.norm)\n",
    "ax2.set_title('Predicted adjacency matrix')\n",
    "plt.colorbar(im2, ax=ax2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## 1 or 2 random ones for each community\n",
    "\n",
    "Loss weights 1, 1, 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f0d071e5390>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, len(history.history), figsize=(len(history.history) * 5, 4))\n",
    "for i, (title, values) in enumerate(history.history.items()):\n",
    "    axes[i].plot(values)\n",
    "    axes[i].set_title(title)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**After training:** $\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, adj, features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predicted adjacency matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 648x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n",
    "\n",
    "im1 = ax1.imshow(nx.adjacency_matrix(g).todense())\n",
    "ax1.set_title('Real adjacency matrix')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "x, _, feeds = next(batching.batches(vae, adj, features, target_func,\n",
    "                                    adj.shape[0], 1,\n",
    "                                    p=1, q=1, neighbour_samples=None))\n",
    "adj_pred = vae.predict_on_fed_batch(x, feeds=feeds)[1]\n",
    "im2 = ax2.imshow(scipy.special.expit(adj_pred[0].mean(axis=0)))\n",
    "im2.set_norm(im1.norm)\n",
    "ax2.set_title('Predicted adjacency matrix')\n",
    "plt.colorbar(im2, ax=ax2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## One-hot encoding finer than the network structure\n",
    "\n",
    "Loss weights 1, 1, 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7fe4519dccc0>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, len(history.history), figsize=(len(history.history) * 5, 4))\n",
    "for i, (title, values) in enumerate(history.history.items()):\n",
    "    axes[i].plot(values)\n",
    "    axes[i].set_title(title)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**After training:** $\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, adj, features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predicted adjacency matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 648x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n",
    "\n",
    "im1 = ax1.imshow(nx.adjacency_matrix(g).todense())\n",
    "ax1.set_title('Real adjacency matrix')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "x, _, feeds = next(batching.batches(vae, adj, features, target_func,\n",
    "                                    adj.shape[0], 1,\n",
    "                                    p=1, q=1, neighbour_samples=None))\n",
    "adj_pred = vae.predict_on_fed_batch(x, feeds=feeds)[1]\n",
    "im2 = ax2.imshow(scipy.special.expit(adj_pred[0].mean(axis=0)))\n",
    "im2.set_norm(im1.norm)\n",
    "ax2.set_title('Predicted adjacency matrix')\n",
    "plt.colorbar(im2, ax=ax2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## One-hot encoding shifted from the network structure\n",
    "\n",
    "Loss weights 1, 1, 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 161,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f2a9ad26710>"
      ]
     },
     "execution_count": 161,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 162,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, len(history.history), figsize=(len(history.history) * 5, 4))\n",
    "for i, (title, values) in enumerate(history.history.items()):\n",
    "    axes[i].plot(values)\n",
    "    axes[i].set_title(title)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**After training:** $\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 163,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, adj, features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predicted adjacency matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 164,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 648x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n",
    "\n",
    "im1 = ax1.imshow(nx.adjacency_matrix(g).todense())\n",
    "ax1.set_title('Real adjacency matrix')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "x, _, feeds = next(batching.batches(vae, adj, features, target_func,\n",
    "                                    adj.shape[0], 1,\n",
    "                                    p=1, q=1, neighbour_samples=None))\n",
    "adj_pred = vae.predict_on_fed_batch(x, feeds=feeds)[1]\n",
    "im2 = ax2.imshow(scipy.special.expit(adj_pred[0].mean(axis=0)))\n",
    "im2.set_norm(im1.norm)\n",
    "ax2.set_title('Predicted adjacency matrix')\n",
    "plt.colorbar(im2, ax=ax2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## All nodes have 1 or 2 random features at 1, the rest at 0\n",
    "\n",
    "Loss weights 1, 1, 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f2aa571b400>"
      ]
     },
     "execution_count": 143,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, len(history.history), figsize=(len(history.history) * 5, 4))\n",
    "for i, (title, values) in enumerate(history.history.items()):\n",
    "    axes[i].plot(values)\n",
    "    axes[i].set_title(title)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**After training:** $\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, adj, features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predicted adjacency matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 648x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n",
    "\n",
    "im1 = ax1.imshow(nx.adjacency_matrix(g).todense())\n",
    "ax1.set_title('Real adjacency matrix')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "x, _, feeds = next(batching.batches(vae, adj, features, target_func,\n",
    "                                    adj.shape[0], 1,\n",
    "                                    p=1, q=1, neighbour_samples=None))\n",
    "adj_pred = vae.predict_on_fed_batch(x, feeds=feeds)[1]\n",
    "im2 = ax2.imshow(scipy.special.expit(adj_pred[0].mean(axis=0)))\n",
    "im2.set_norm(im1.norm)\n",
    "ax2.set_title('Predicted adjacency matrix')\n",
    "plt.colorbar(im2, ax=ax2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Communities 1, 2, and half of 3 have `[1, 0, 0, 0, 0]`, other half of 3, and 4, 5 have `[0, 1, 0, 0, 0]`\n",
    "\n",
    "Loss weights 1, 1, 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f2aafd5d588>"
      ]
     },
     "execution_count": 127,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, len(history.history), figsize=(len(history.history) * 5, 4))\n",
    "for i, (title, values) in enumerate(history.history.items()):\n",
    "    axes[i].plot(values)\n",
    "    axes[i].set_title(title)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**After training:** $\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, adj, features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predicted adjacency matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 648x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n",
    "\n",
    "im1 = ax1.imshow(nx.adjacency_matrix(g).todense())\n",
    "ax1.set_title('Real adjacency matrix')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "x, _, feeds = next(batching.batches(vae, adj, features, target_func,\n",
    "                                    adj.shape[0], 1,\n",
    "                                    p=1, q=1, neighbour_samples=None))\n",
    "adj_pred = vae.predict_on_fed_batch(x, feeds=feeds)[1]\n",
    "im2 = ax2.imshow(scipy.special.expit(adj_pred[0].mean(axis=0)))\n",
    "im2.set_norm(im1.norm)\n",
    "ax2.set_title('Predicted adjacency matrix')\n",
    "plt.colorbar(im2, ax=ax2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Communities 1 & 2 have `[1, 0, 0, 0, 0]` + `eye`, comms 3, 4, 5 have `[0, 1, 0, 0, 0]` + `eye`\n",
    "\n",
    "Loss weights 1, 1, 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f2aced84358>"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARQAAAD8CAYAAAC2EFsiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAADKpJREFUeJzt3G+onvV9x/H3ZzFqu7Zo/EdmwuLADfugRgjW4R44rWvmStsHDurKyCCQJxtYtlF1g7HCHuiT6pPREaY0D0pju3YoUnCSKWMwovFvtZnGiltDxLi2wW1lmdrvHtxX3PF44jk553vuP+e8X3C4z3Xlus/1JVz55Ht97+t3UlVIUodfmHQBktYOA0VSGwNFUhsDRVIbA0VSGwNFUhsDRVIbA0VSmxUFSpKdSV5M8nKS27uKkjSbstwnZZNsAF4CbgSOAk8At1TVD073ngs3bahtWze+u/3Scx9e1rnn+9VP/Ow9210/V9LI//Df/G+dzGLHnbWCc1wNvFxVrwAk2Q98DjhtoGzbupHHH9767vanf2n7Ck7//x5++Jn3bHf9XEkjB+vAko5byS3PpcCP5mwfHfZJWqdWEigLtT/vu39KsifJoSSH3vjxOys4naRpt5JbnqPA1jnbW4Bj8w+qqr3AXoAdV567Kkub59/iPHzsmUWPkdRvJR3KE8DlSS5LcjbwBeDBnrIkzaJldyhV9XaSPwIeBjYA91XVC22VSZo5K7nloaq+B3yvqRZJM84nZSW1WVGHMq0WGsDOH9Q6pJX62aFIamOgSGpjoEhqsyZnKAtZ7OE3ZyrSytmhSGpjoEhqY6BIarNuZijzuaBQ6meHIqmNgSKpjYEiqY2BIqnNuh3KzueCQmnl7FAktTFQJLUxUCS1cYbyAVxQKJ0ZOxRJbQwUSW0MFEltDBRJbRzKngFXKEsfzA5FUhsDRVIbA0VSG2coK+CCQum97FAktTFQJLUxUCS1cYbSzAWFWs/sUCS1MVAktVk0UJLcl+R4kufn7NuU5JEkR4bX81e3TEmzYCkdyteBnfP23Q4cqKrLgQPDtqR1btGhbFX9U5Jt83Z/Drhu+H4f8BhwW2Nda4YLCrWeLHeGcklVvQYwvF7cV5KkWbXqQ9kke5IcSnLojR+/s9qnkzRByw2U15NsBhhej5/uwKraW1U7qmrHRRdsWObpJM2C5T7Y9iCwC7hzeH2graI1zgWFWsuW8rHxN4F/AX4tydEkuxkFyY1JjgA3DtuS1rmlfMpzy2n+6IbmWiTNOJ+UldTGxYFTwGdVtFbYoUhqY6BIamOgSGpjoEhq41B2Cvnwm2aVHYqkNgaKpDYGiqQ2zlBmhL9NX7PADkVSGwNFUhsDRVIbZygzygWFmkZ2KJLaGCiS2hgoktoYKJLaOJRdI1xQqGlghyKpjYEiqY2BIqmNM5Q1zAWFGjc7FEltDBRJbQwUSW2coawjLijUarNDkdTGQJHUxkCR1MZAkdTGoew65oJCdbNDkdTGQJHUZtFASbI1yaNJDid5Icmtw/5NSR5JcmR4PX/1y5U0zVJVH3xAshnYXFVPJfko8CTweeAPgJ9U1Z1JbgfOr6rbPuhnfSyb6pO54d1tH6yafs5UBHCwDvBm/SSLHbdoh1JVr1XVU8P3/wkcBi4FPgfsGw7bxyhkJK1jZzRDSbINuAo4CFxSVa/BKHSAi7uLkzRblhwoST4CfAf4UlW9eQbv25PkUJJDb3FyOTVKmhFLCpQkGxmFyTeq6rvD7teH+cqpOcvxhd5bVXurakdV7djIOR01S5pSiz7YliTAvcDhqvrqnD96ENgF3Dm8PrAqFWqiXKGsM7GUJ2WvBX4f+H6SU1fTnzEKkm8l2Q38O/C7q1OipFmxaKBU1T8Dp/u46IbT7Je0DvmkrKQ2Lg7UGXFBoT6IHYqkNgaKpDYGiqQ2zlC0Yj6rolPsUCS1MVAktTFQJLUxUCS1cSirdj78tn7ZoUhqY6BIamOgSGrjDEVjsdjDb85U1gY7FEltDBRJbQwUSW2coWgiXFC4NtmhSGpjoEhqY6BIamOgSGrjUFZTwQWFa4MdiqQ2BoqkNgaKpDbOUDS1XFA4e+xQJLUxUCS1MVAktXGGopnhgsLpZ4ciqY2BIqnNooGS5Nwkjyd5NskLSb4y7L8sycEkR5Lcn+Ts1S9X0jRbSodyEri+qq4EtgM7k1wD3AXcXVWXAz8Fdq9emZJmwaJD2aoq4L+GzY3DVwHXA7837N8H/CXwtf4SpYW5oHD6LGmGkmRDkmeA48AjwA+BE1X19nDIUeDS1SlR0qxYUqBU1TtVtR3YAlwNXLHQYQu9N8meJIeSHHqLk8uvVNLUO6NPearqBPAYcA1wXpJTt0xbgGOnec/eqtpRVTs2cs5KapU05RadoSS5CHirqk4k+RDwKUYD2UeBm4H9wC7ggdUsVFoKFxRO1lKelN0M7EuygVFH862qeijJD4D9Sf4KeBq4dxXrlDQDlvIpz3PAVQvsf4XRPEWSAJ+UldTIQJHUxtXGWtNcoTxediiS2hgoktoYKJLaOEPRuuKCwtVlhyKpjYEiqY2BIqmNMxStez6r0scORVIbA0VSGwNFUhsDRVIbh7LSPD78tnx2KJLaGCiS2hgokto4Q5GWwN+mvzR2KJLaGCiS2hgokto4Q5GWwQWFC7NDkdTGQJHUxkCR1MZAkdTGoazUwAWFI3YoktoYKJLaGCiS2jhDkVbJelxQaIciqY2BIqnNkgMlyYYkTyd5aNi+LMnBJEeS3J/k7NUrU9IsOJMZyq3AYeBjw/ZdwN1VtT/J3wC7ga811yetGethQeGSOpQkW4DfAf522A5wPfB3wyH7gM+vRoGSZsdSb3nuAb4M/HzYvgA4UVVvD9tHgUsXemOSPUkOJTn0FidXVKyk6bZooCT5DHC8qp6cu3uBQ2uh91fV3qraUVU7NnLOMsuUNAuWMkO5FvhskpuAcxnNUO4Bzkty1tClbAGOrV6ZkmbBooFSVXcAdwAkuQ7406r6YpJvAzcD+4FdwAOrWKe05qzFBYUreQ7lNuCPk7zMaKZyb09JkmbVGT16X1WPAY8N378CXN1fkqRZ5ZOyktq4OFCaIrO+oNAORVIbA0VSGwNFUhtnKNIUm7UFhXYoktoYKJLaGCiS2hgokto4lJVmyLQvKLRDkdTGQJHUxkCR1MYZijTjpunhNzsUSW0MFEltDBRJbQwUSW0cykprzCQffrNDkdTGQJHUxkCR1MYZirQOjOu36duhSGpjoEhqY6BIauMMRVqHVmtBoR2KpDYGiqQ2BoqkNgaKpDYOZSUtuqDw6k//bEk/xw5FUhsDRVIbA0VSm1TV+E6WvAH8G3Ah8B9jO/HKzFKtMFv1zlKtMFv1dtf6y1V10WIHjTVQ3j1pcqiqdoz9xMswS7XCbNU7S7XCbNU7qVq95ZHUxkCR1GZSgbJ3QuddjlmqFWar3lmqFWar3onUOpEZiqS1yVseSW3GGihJdiZ5McnLSW4f57mXIsl9SY4neX7Ovk1JHklyZHg9f5I1npJka5JHkxxO8kKSW4f901rvuUkeT/LsUO9Xhv2XJTk41Ht/krMnXespSTYkeTrJQ8P2NNf6apLvJ3kmyaFh39ivhbEFSpINwF8Dvw18HLglycfHdf4l+jqwc96+24EDVXU5cGDYngZvA39SVVcA1wB/OPx9Tmu9J4Hrq+pKYDuwM8k1wF3A3UO9PwV2T7DG+W4FDs/ZnuZaAX6zqrbP+bh4/NdCVY3lC/h14OE523cAd4zr/GdQ5zbg+TnbLwKbh+83Ay9OusbT1P0AcOMs1At8GHgK+CSjh6/OWugamXCNWxj9I7weeAjItNY61PMqcOG8fWO/FsZ5y3Mp8KM520eHfdPukqp6DWB4vXjC9bxPkm3AVcBBprje4RbiGeA48AjwQ+BEVb09HDJN18Q9wJeBnw/bFzC9tQIU8A9JnkyyZ9g39mthnL++IAvs8yOmFUryEeA7wJeq6s1kob/m6VBV7wDbk5wH/D1wxUKHjbeq90vyGeB4VT2Z5LpTuxc4dOK1znFtVR1LcjHwSJJ/nUQR4+xQjgJb52xvAY6N8fzL9XqSzQDD6/EJ1/OuJBsZhck3quq7w+6prfeUqjoBPMZo9nNeklP/sU3LNXEt8NkkrwL7Gd323MN01gpAVR0bXo8zCuurmcC1MM5AeQK4fJiUnw18AXhwjOdfrgeBXcP3uxjNKiYuo1bkXuBwVX11zh9Na70XDZ0JST4EfIrRwPNR4ObhsKmot6ruqKotVbWN0XX6j1X1RaawVoAkv5jko6e+B34LeJ5JXAtjHhzdBLzE6N75zyc9yFqgvm8CrwFvMeqodjO6dz4AHBleN026zqHW32DUcj8HPDN83TTF9X4CeHqo93ngL4b9vwI8DrwMfBs4Z9K1zqv7OuChaa51qOvZ4euFU/+2JnEt+KSspDY+KSupjYEiqY2BIqmNgSKpjYEiqY2BIqmNgSKpjYEiqc3/AerBz6xbE8RrAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, len(history.history), figsize=(len(history.history) * 5, 4))\n",
    "for i, (title, values) in enumerate(history.history.items()):\n",
    "    axes[i].plot(values)\n",
    "    axes[i].set_title(title)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**After training:** $\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, adj, features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predicted adjacency matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhcAAADxCAYAAAB4W5X+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJztvXmYZEWx9/+Nqt6mp3umZ0FmhRlgQBYBEUGv773yKiigAioKqAiIjl43FJTFFVHvRX9eUV8RGXZwQUWFuQIOiCCK7KIoqwMCs+8zPT09vVXF749zuk5GdtfWXV2V1f39PE8/nVmZJ0/UqVNRcTIiI0VVQQghhBBSKVK1FoAQQggh4wsaF4QQQgipKDQuCCGEEFJRaFwQQgghpKLQuCCEEEJIRaFxQQghhJCKQuOCkDpGRK4WkfUi8o887SIi3xOR5SLyuIgcUm0ZCSFhMxZ6hMYFIfXNtQCOLtB+DIBF8d9iAJdVQSZCSH1xLSqsR2hcEFLHqOq9ADYX6HI8gOs14gEAHSIyuzrSEULqgbHQIw2VFJAQUpw3/9/JumlzpqS+jz7e+wSAHuelJaq6pIzTzQWwwqmvjF9bU8YYhJDACF2P0LggpMps2pzBQ8t2K6lvevY/e1T10FGcToZ5jTn/CalzQtcjNC4IqTIKIItstU63EsB8pz4PwOpqnZwQMjaErkcYc1EGInKPiHyw0mOJyHtF5I5KjDvREJHPiciVtZajHBSKfs2U9FcBlgJ4fxzt/RoA21SVLpFRICILRERFpCGu3y4ip1XhvBeKyI8qPZaI7CYiXSKSrsTYEwkR+XcReaYW5w5dj4y7mQsReQHArgAyALoA/BbAx1W1q5ZyFUJVfwzgx7WWIyRE5AgAP1LVeYX6qep/VUeiylKpJw4R+SmAIwDMFJGVAL4MoBEAVPWHAG4DcCyA5QC6AZxRkRMHjqcHdiC6Dp8YCz2gqseUIdMHVfV3lZZhNKjqSwDaai1HaIiIAlikqsvz9VHVPwLYp3pSWULWI+POuIh5m6r+TkRmAVgG4AIAn6+xTKTCiEiDqg7UWo5yUSgyWpmwB1U9pUi7AvhYRU5WfwzqgbmI9MAXAJzvdhARASCqWrX5ZTI+qLX+CV2PjGu3iKquRaRUDh58TUSaReRbIvKSiKwTkR+KyKS4bZqI/EZENojIlrhc8MnZGfcwEblfRLaKyBoR+b6INDntR4nI0yKyTUS+DydARkROF5E/OfXvisgKEekUkUdF5N+dtnTsCnhORLbH7fPjtpeLyJ0isllEnhGRdzvHXSsil4rIrfFxD4rInk77/s6x6+JzzBKRbhGZ4fR7VXx9Goe5BheKyC9E5EfxOf4uInuLyAVxgpYVIvImp/8ZIvJU3Pd5Eflw/PpkALcDmBNP13aJyJx4/Jvi8TsBnO5N754UjzMlrh8jImtFZJdSPsNqkoWW9EdGj6quQnQ/HQDkXJJfF5H7ED2F7SEiU0Xkqvi7u0pEvjboJoi/c98SkY0i8jyAt7jji+cuFZEPOff1kyJyiIjcAGA3AP8b38/nxn1fIyJ/jvXG3ySasRscZ6GI/CEe504AM/O9x2K6q9BYMtTNM+z30ul/vIj8NdZPz4nI0fHrha7h6SLyp/g6bhGRf4nIMc6Y00XkGhFZHbffHL/+DxF5m9OvMf4cDoaHiBwhIitF5NxY36wRkRNE5FgReVYi3fY5p39enS0i98bd/hZ/Xic5458nImsBXDP4WnzMnvE5Donrc2JZj8AYEbIeGdfGRfzlOgbRVM4g3wCwNyKDYy9Ey2m+FLelAFwDYHdEimAngO+XeLoMgE8j+tK+FsAbAXw0lmMmgF8ienKaCeA5AK8rMNbDsXzTAfwEwC9EpCVuOxvAKYimqKYA+ACAbol+kO+M+78s7vMDEdnfGfcUAF8BMA3RNfl6LF87gN8hciHNia/LXbFxdg+AdztjvA/Ajaran0f2twG4IT7HY4iMuxSi63wRgMudvusBvDV+H2cAuEREDlHVHYg+t9Wq2hb/DQYPHQ/gJgAd8FxJqvozAPcD+J5EBtFViKahN+SRtSYogAy0pD8yeiQyvo9FdD8OciqiZEDtAF4EcB2AAUT3/isBvAnAoMHwIUT36SsBHArgxALneheACwG8H9F9fRyATap6KoCXEM2mtKnqNyWaUbkVwNcQfdc/A+CXjjH8EwCPItIZXwVQKK6jmO4qZ6xhv5fx+zsMwPUAPovoO/gfAF6Ijyt0DQHgcADPxDJ8E8BVIjL4kHUDgFYA+yPSX5fEr1+PSOcMciyANar61zyyzwLQgkSvXxEf/yoA/w7gSyKyR9w3r85W1f+I+xwUf14/c8afjug6L3ZPrKrPATgPwI9FpBXR53Gtqt6TR9ZREbweUdVx9YfoRu8CsD2+/ncB6IjbBJH/dU+n/2sB/CvPWAcD2OLU70H0Y1WKHJ8C8Ou4/H4ADzhtgij69oNx/XQAfyow1hZENzkQfTmPH6bPSQD+6L12OYAvx+VrAVzptB0L4Om4fAqAx/Kc+yQA98XlNIC1AA7L0/dCAHc69bfFn0U6rrfHn0lHnuNvBnBWXD4CwMphxr93mNd+5NQ7ECnxvwO4vNb343B/Bx3YqOtXzSnpD8AjtZa3Hv8cPbAVkfHwAwCT4rZ7AFzk9N0VQO9ge/zaKQDujsu/B/ARp+1N8X3c4Iw3+F1eNngP55HpSKd+HoAbvD7LEP3w74boh3qy0/YT914v8v5zuqvYWAAWuO9nmLHc7+XlAC4Zpk+xa3g6gOVOW2t8zlkAZgPIApg2zLhzEOnyKXH9JgDn5pHzCERGla9vDnf6PArghDzH53R2XFcAe3nj9wFo8V7z9dTSWP88DqB5rO7x0PXIeI25OEEjX+vrEX2JZiJSMrsguqkfTQxmCKIfTcTW5iWI0qBOi9vbRSStWjjkVkT2BvBtRE82rYjiWR6Nm+fASUCiqioiK4YMkox1DiKLfw6iG3wKkmnM+YhmPnx2B3C4iGx1XmtA9EQwyFqn3I0kiCvfmABwC4Afxtb+3oiihB/KJzuAdU55J4CNzrXbGf9vA7A1nhb9cjxuCtF1+3uBsQGbyGUIqrpVRH6BaIbnnUXGqgkKoF85K1EFTtD8wZPufbQ7ouC1NY5eSDl95nj9XyxwzkLfJZ/dAbzLnfaP5bg7PucWjWbx3PO6ywFzFNJdIxir0PdyPqLgvuHeS6FrCDj6R1W7435tiGYCNqvqFn9QVV0tkfvqnSLya0QzmmcNJ3fMpmH0ja+T2uL3WUhn52ODqvYU6XMFIgNjsar2Fuk7YkLXI+PaLaKqf0D0xP6t+KWNiG6u/VW1I/6bqqqDP7LnIIr8PVxVpyCa8gOGTyDicxmApxFFF08B8DnnuDVwvsjxVGC+L/a/I3qieTciS74DwDZnrBUA9hzm0BUA/uC8rw6NpvP+swTZ842J+Iv0cwDvRTSVfMNw/cpFRJoRuYq+BWDX+H3ehuR95vvWFPw2xb7YDwD4KYDvVULWSqMlTmXSLTKmuBd3BaKn7pnOd2eKqg66FM33F9FMQD7yfpcw9N5dgWjmwv3OTlbVi+NzTovdnaWct5DuKnmsEr6XhfRPoWtYiBUApotIR5726xC5Nt4F4H6NYmgqQSGdnY9i+qcNwHcQuWQvFJHplRB0eEHC1iPj2riI+Q6Ao0TkYI0iwq9A5EN8GQCIyFwReXPctx2R8bE1vim+XMZ52gF0AugSkZcDcH/UbwWwv4i8Iw6a+iSi6cB84wwA2ACgQUS+hGjmYpArAXxVRBZJxIFxfMFvAOwtIqfGQU+NIvJqEdm3BNl/A2CWiHxKooDXdhE53Gm/HtG05nEAKrLOHkATgGZE73Mgflp6k9O+DsAMEZla6oBxXMqPECmJMwDMFZGPVkjeyqFApsQ/MvZotF7/DgD/IyJTRCQVB+e9Pu7ycwCfFJF5IjIN3ooTjysBfEaiwGcRkb1EZPe4bR2APZy+PwLwNhF5s0RBoy1xgOA8VX0RwCMAviIiTSLyfxC5GfORV3eVOVax7+VVAM4QkTfG12muiLy8hGuYl/jY2xHFiE2Lddd/OF1uBnAIohmL64uNVwaFdDYw9PMqhe8CeFRVP4hI7/9w1FLmI3A9Mu6NC42C+a4H8MX4pfMQBTM+INGKg98hWaf8HQCTEM1wPIAowLFUPgPgPYj8g1cAGAwAgqpuRGR1XwxgE6Kd5e7LM84yRF+0ZxFNXfbATi1+G5GyuwPRF+MqRH7O7YiUwMmIMqetRRS82lxM8PjYoxApnLUA/gng/zrt9yHyif5FVV8oNl4pxOf8ZPxetiC6dkud9qcRzT48L1E095wShv1vRP7Py+LpyPcB+JqILKqEzJVCEV3MUv5I1Xg/oh/WJxHdjzchigUAou/zMgB/A/AXAL/KN4iq/gJRoPRPEOmCmxFN+wPR/fmF+H7+jKquQBSg/DlEP+YrEAVKDurl9yAKgtyMyFgo9MNaTHeVNFYJ38uHEAd5IppR/QMilwhQ+BoW41QA/YhmEtYjin8YPOdORLMpC1Hg2o+AvDo75kIA18Wf17tRBBE5HpFb6iPxS2cDOERE3lsxiR1C1yOiAftsJgoi8gEA71PVN9RalnyIyO8B/ERV6yobZoi84sAm/dVteVcVGvaev+ZRHd2eAIQUJI6n+ieigM4gfxDiGdy9VfV9RTtPEELXI+M1oLPe2B/Av2otRD5E5NWIpiWPr7Us44EoEKuUMB5CqsIBAF4I2LCYDuBMRLMbJCZ0PULjosZIlCxmESK3SXCIyHUATkC0FG17reUZD0Tr08NVCmTiICJnAzgXwCdqLctwiMiHELl8blDVe4v1n0iErkdGZVxIlJntu4iWcl4ZRzmTMlDVE2otQyFU9bRayzAeyQb8xFFtqEdqh6p+G1EcV5Co6hWI4iHIMISsR0ZsXMTrpy9FFAi4EsDDIrJUVZ+slHCEjEdCf+KoJtQjhIyM0PXIaGYuDkOUce15ABCRGxH55PMqhSZp1hYkS633PrA7V3728daST+weVwx/XP/Ycs5LyHD0YAf6tLfkb7lCkBn/C7VKpWw9Mn16SufPT1RX1gkV8JWtevVeTY6bLH2mbVW/TbMwtzHJR5f1xvE/7BVPOium097O5X7nTJKPTwdsbj5pKLDredYLiUjbe6h/arIwrGHjDtQT4r0XzUy8tVLjTY+MxriYC7tEciWipU55acFkHC5vzNWXLUvSw795zpB9aPLiHlcMf1z/2HLOS8hwPKh3lX1MyNOZVaZsPTJ/fgOWOVHyO5wf3W1Zu5+eb2w815/sYfeqZpuL6fMrjzP1/56XW4GJHrVKPC32h/5TB781V5ap7aZNfYNhy7ZEPqcMAOlp+fJIAdprjaHUZPtgtPa4JCXDzCX35x0nEtK5LgHEcabbpph6prOzRpJUGedzeDCbL5lsfkLWI6MxLoZ7V0PuUhFZjHiDlxZwloAQhaBPCzyhTizK1iNz5/LaERK6HhmNcbESNiXuPETJmwyqugTAEgA49KAWLXW2Ytnq/LMTnG0g9UyU/Cbc6cwqU7YeecWBjerOVnQ7CrZTC+eM256ZlCvvUKv+ugeabN0Zt8dX4r7505CMpU2NXps9VhqTdklJ3rYh+K4Cr2/AvzPFSYX7BB4qoeuR0RgXDwNYJCILAaxClBnyPRWRipBxTsiBWFWGeoSQERKyHhmxcaGqAyLycURpcdMArlbVJyomGSHjFFVBRsN94qgm1COEjIzQ9cio8lyo6m0YfvvdYXn28daSXRpDAjEdN4nvMinHvUKXCgkBf/XBRKZcPZKBmMBN1xWyOdNm+3rKd11/sqpjc5ONAdveZ10qGzLJyrZivm1pbcmVs612HG20x6Z3Jn2lybpiMKkF+fDvGG21fbONZdxT4lwXzXhtNQj2bGwq3me84F5fGZ1xELIeYYZOQqpMFIjFrx4hZOSErkfClYyQcUrogViEkPAJXY/QuCCkBmQCXp9OCKkPQtYjNTUu3HiIYrEQjJUg44XQM+uFTnT9hleqfoxFoWj6Idk8Cyjqcp4QVUau8LXAkkxJeTJw+eaEJnQ9wpkLQmpANuAob0JIfRCyHqFxQUiViTYcClcpEELCJ3Q9QuOCkCqjEPTXdTpFQkitCV2PBGNcjCYfRQipwplPg5SK6tDYAFI6vdpgNiBzU3q7eSyG47nu5LjpDV2mbdtOmzfi2b5ZyTmzBdJyA8hOSzYr65/u5Z9osLERzdkkF0eqe6c3js3T4ZJqtrkgBqba82Typ8gIHvFTppOihK5HgjEuCJk4SNDJbwgh9UDYeoTGBSFVRhH2EwchJHxC1yNVNS72PrAb+XZFLeTaKJdC446Vu4JuEFIOIQdihc5k6cOrmlfl6u7upn5Kb3+5qesKefWkf5m2pVMOMvXDWpL2viKf12/XvjxXbu6dYto0bf3iqU1bE/k2bzVt6QK7oupO60Jp3GFdKA1dk1Eymi3QVqWU3+4pPfcQKY2Q9QhnLgipMgpBNuDkN4SQ8Aldj9C4IKTKKID+gPcEIISET+h6JFzJCBm35M8wSQghpRG2HgnGuCgWs1DOctNy0oqT0cEluOWjCDuzXuis6u/A51cel6t3DyRLNP1t0/2U3u5yUz/G4ukVs0z9c3h7rpzJ2s9LxMYldB4xP1fua/PSinsfdVNXR648efUc07Z1bv6txxt67Dn7J9uBd84qPVYi3Z4snc10dpo2aU6uofb2ljzmaMgsmmdfeGhL6QfXYov4UZBqTeKCxInHka7ydELoeiQY44KQiUTITxyEkPogZD0SrtlDyDhFVZDVVEl/xRCRo0XkGRFZLiLnD9O+m4jcLSKPicjjInLsmLwpQkhVCV2PcOaCkCoTBWKNPm2viKQBXArgKAArATwsIktV9Umn2xcA/FxVLxOR/QDcBmDBqE9OCKkpoeuRujQuCsVYDNc+0r6kOLx+I0EqlfzmMADLVfV5ABCRGwEcD8BVCgpgMPHCVACrK3HiWjK3cSv+e97SXL3bUbCbspNMX/+pzU3p/ZpJz5u2L6ROMPWv7X5zrtxf5PP64l1vSSrTbJ4LNFo1K26ei42bTNuMXWbmPYf22PgHmWLzXPRP9uIWCpDp2pH/PH19JY9TKdLP29syU87BdRBn4ZLt7s6V3ZgLzRbIPTIsYeuRujQuCKlnokCskn2lM0XkEae+RFWXxOW5AFY4bSsBHO4dfyGAO0TkEwAmAziybIEJIcERuh6hcUFIDSgjs95GVT00T9twmsV/jDsFwLWq+j8i8loAN4jIAaqFUjQSQuqBkPVIVY2LZx9vzTuNXiz9d6VSenMan9SaCmbWWwlgvlOfh6HTlWcCOBoAVPV+EWkBMBPA+koIUAuyEPQ408E9jlukx9u9NOspX3d30x7PX907YNWh217Mty0NzvS25wbRBm8Za4PT7qUGR4OnklPOfTLgOQu8YzVdxj0VWPpvZCamrasZ5zMt87KHrke4WoSQGpBFqqS/IjwMYJGILBSRJgAnA1jq9XkJwBsBQET2BdACYEOF3w4hpAaErEfoFiGkyqgC/dnR2/WqOiAiHwewDEAawNWq+oSIXATgEVVdCuAcAFeIyKcRPRudrlpnEXCEkCGErkdoXBBSZaLpzMpMGqrqbYiWhbmvfckpPwngdRU5GSEkGELXIzXdct2lknETTP9NQifkzHqhIwDSbvrtCs3D+Cm9087A/ZU5Rflky3hz5VwHcX6U1IvlqEU6bT/WZILgLkUdyX0csh6ZmJ8oITWkzCVkhBAyhND1CI0LQqpO5aYzCSETlbD1SFHJRORqEVkvIv9wXpsuIneKyD/j/9PGVkxCxhdZSEl/4wXqEUIqT8h6pJSZi2sBfB/A9c5r5wO4S1Uvjjc5OR/AecUGKpTnopKM9BzFcm0UOkeljmWMyPgnivIe/Z4Adca1qJAeWfHkVHzqIGffpMZkm3JpbRnmiITstGSr8d+ufblpc7dNB2xKbzePxXB8/4GbcuUXB2z67x61uTf2aNycKy9ssPIu78+/xXlHyuaCWJex4y5+8n1J5dKC4qLn2Fflyi2/eci0NcxNtoEfWLmq8EAV4qmLdzf1vT+4MakUiftw84bowEBF5RoL9N8OypUbVidby8vKpuG65x8ncD1SdOZCVe8FsNl7+XgA18Xl6wCcAEJISQwmvynlb7xAPUJIZQldj4w05mJXVV0DAKq6RkRelq+jiCwGsBgAWtA6wtMRMr4YTy6PUTAyPZKaXCXxCAmbkPXImAd0xpujLAGAKTI9uOQ9Y+WSKJSuvFBfMv4JPco7RFw9MrV5lkrH1KStKXEPZFub7XFir3P/9MQN0dxr3Rd9bd5n4uxu6qf09nFdIU/3zjZt3VkrUwqJe2OX1DbT9vzA9Lzn2CW93dRf6Lc7qHbtTM5TLHhl44HJ+5n3G9vWdfDcXLnFc4tIs3d9e/O7cdLOZwQAmW2dyTgN1qXT2GoX+zbM2jVXHliz1rSl2ttNXXZNroOuXmfa3B1IASA1OTFMszvy7ww7lqw/JHnInjIzcYVkNpf3cxy6HhmpcbFORGbHTxuzUcf7FBBSC0KO8q4i1COEjIKQ9chIJVsK4LS4fBqAWyojDiHjH1XBgKZK+hvnUI8QMkJC1yNFZy5E5KcAjkC0H/xKAF8GcDGAn4vImYg2NHnXWApJyHgj5OnMsYB6hJDKE7IeKWpcqOopeZreWGFZ6ppylpeOZst4Uv+E7isdCyqqRwRQd2mo2e688NK8bENy3dXfstx/wHPHbSj89OcuN/VjLPxt4Ls1ae/3cj73ZPMvR+xJ2XH8cbWMe2r+HUn8gx8IN/n+5bmylxi8YIyFT2brtrxt2t9n6rLcBvsPrLWxEy7Z7Tb2BDucuIqsL7F3bI3iLFzm3JF4/6SzK1dO7+gbrnteQtcjzNBJSA0IWSkQQuqDkPUIjQtCqszg+nRCCBkpoesRGheE1ICQ16cTQuqDkPUIjYsRUk7uCsZYEBdVYCA77leCjB2ZDLAl8edLYxJ7kN5ZOP13c7YtV05t2mramro6TF02O+cosiW4m9LbzWMB2BgLANinMfG5T03ZGItFTflX43akbGrrFrG5IdomlR4PsfGgJFfEjEdsm851cplt8pOqlkHKi38pEA+R2XOnqUtTcl2GxHl4uUtSk5LP3M9rMSR1eC22k/foPGBGrtz2fHJv6NYy81wErkdoXBBSA0KeziSE1Ach6xEaF4RUmdB9pYSQ8Aldj0x446IcF0U5y0sLuU1G4ybhDqq1o5LXvpxlg8SiAxlkXLdIKrmW7nT6cKS6k+n3zGbrFpm8Zo6pZzZuSirpwktc3d1N/ZTeGW+xZ7vjCmkWu5x0H1s1NMC+t5mem2TfGUma7PwLOSM2vz5xNcy4yrZt3ztJ2z35ce9AzyVRyLUgXsp07XXcIt44b3/530z9idbERZXx3CJ+6vDU9CTZeXZnjyefdcWI8znWagfVtf+WvPe5fUk6cn2ufBdHyHpkwhsXhNSCkAOxCCH1Qch6hMYFIVVGNWxfKSEkfELXIzQuCKk6gkzAUd6EkHogbD1SN8bFWMUaFIqNKHSeYnETIx23GIyzqB2VvPYh+0pDRxrSSE9LfPLuUlRMsktRNWWvc3ZashQ17S0v3TrHxjTM2MXZ0rzIUtTl/UlcgL9tup/S211u6sdYPNVnl7G6TE3Z2IN1mUmm/sTGWbnyTHSiELv/OP+P0tT7XsyVh0QllLF8s2CqcG+cmx48zNT33vpw/kO91OEZd0v2Ium/axVn4bLXjUkK8vT6JO4ntbN/uO4FCVmP1I1xQch4IfQ9AQgh4RO6HqFxQUi10Zrl7yGEjBcC1yM0LgipASFHeRNC6oOQ9UjdGBfViDUoZ2v0YnktGBtB8qGBB2JNGPycDXVOWf730N57YOKMJZXyZISuR+rGuCBkPBHydCYhpD4IWY/QuCCkBoQc5U0IqQ9C1iM0LhxGs7y0kuch4xvVsJVC8GQV2ussR8wkyzf9q+rXU03J2k/daXfibOixj4Ha4yylbPCWOKpdMtqRSuq7pLebtp5Uo9c3WQ7pp/T2l5u6tHvLavthU11Paip9KWPPtCQN9pCE6S3N/isjo4xU4Q1T7PJSiDPdr4WXl5q+dUB/R3J901uce6NMV1XoeoTGBSE1IOQlZISQ+iBkPULjgpAaELKvlBBSH4SsR2hcEFJlFIJswFHehJDwCV2PTHjjYqQpvsuJm2CMBfEJ+IEjfNIppCa3JnUn/be2tgxzQMJAR5Iyu7G7zbT1T7aKWtqS7bDRWFhVrsskMrzQP9O09WRtzEWLJLER/rbpfkpvI58XY7FiYIqpd/Ukvnz7zobStjp/bId278zbVhZlPFZn13ufm+ZPgz7kNJkiMRmB0bwuSf8tO53PIVu+VghZj4Rr9hAyXokDsUr5K4aIHC0iz4jIchE5P0+fd4vIkyLyhIj8pOLvhxBSfQLXIxN+5oKQmlCBRw4RSQO4FMBRAFYCeFhElqrqk06fRQAuAPA6Vd0iIi8b/ZkJIUEQsB7hzAUhNaBCTxyHAViuqs+rah+AGwEc7/X5EIBLVXVLdF5dD0LIuCBkPTLhZy4KbeVeKDainLgJxlgQFwWQzZa8hGymiDzi1Jeo6pK4PBfACqdtJYDDveP3BgARuQ9AGsCFqvrbsoUOiP6pzVh73B65uiYpG5BtLHxdM45rv6FrsmnbOcs+Bva3zk/O0eDnbLDVxU++L1fu2mnzRPjKvW1S4mffd8Za0+Zum+4f6+excGMsAKBzQxJpYUcZyvZ5ybFTvbbe/ZP33bDO/oak2ttNPbvd5vRwSc+cYftuS/pKk41Dadxmn3Mb5szOlQdWrbbjTptm6jIteQe6cbNpy3TarefTHUnfzNZteWUfS7bvlcTKNMxNPrNsZ+Nw3fMSuh6Z8MYFIVVHUc4GAxtV9dA8bcMN4k+UNgBYBOAIAPMA/FFEDlDVraUKQAgJkMD1SFG3iIjMF5G7ReSpOJDjrPj16SJyp4j8M/4/rdhYhJAI1dL+irASwHynPg/A6mH63KKq/ar6LwDPIFISVYV6hJDKE7IeKWXmYgDAOar6FxFpB/CoiNwJ4HQAd6nqxXF06fn2DOaWAAAgAElEQVQAzithvKCoZ5cFl7jWMZVZQ/YwgEUishDAKgAnA3iP1+dmAKcAuFZEZiKa3ny+Imcvj4rpkYaNOzBzyf1jLnBZXJoUy7GO1nn1megctt9w+MtNXVfIng/bpZ0LJ20w9dvPTpbAnvK0/R256oJkRvy1f7XLPO+9cF9T37Fr4pPqXGjlmfsHu8y2vz3pm+q3X4Bd/mbP033AnFz5pXN2M23z77J9xalm97dxhr3/ad0kLZcmn86R//1H07aw2V6jNJLlsBfc/S7Ttu8+K01910mJy2fBpE2m7W/b5pp6338l4+7YNfkJzvqut1IIWI8UnblQ1TWq+pe4vB3AU4h8NMcDuC7udh2AE0p+K4RMaEoLwioWiKWqAwA+DmAZou/lz1X1CRG5SESOi7stA7BJRJ4EcDeAz6rqpuFHHDuoRwipNGHrkbJiLkRkAYBXAngQwK6quiYWbg2XuBFSBhXKfqOqtwG4zXvtS05ZAZwd/wUB9QghFSJgPVKycSEibQB+CeBTqtopJe7gJiKLASwGgBa0FulNyARAAS09yntcQT1CSIUIXI+UZFyISCMihfBjVf1V/PI6EZkdP23MBjDsutd4ucsSAJgi00POVjquYHry0AlXKYwV1CPVo8lLKz49vcPU0zuTQIWOdLdt60liAqY2+G320qec1bH+HZ3utSm8s81Jj1Sf9xF6Bzf0JPKJ2p8pVz4AkEwylnh7bTSlbXxGypFpatqmOe/wr5E7LZCy8rY15k+f7l+z1ga7hLjTeW/pfmcd9Yju6nD1SCmrRQTAVQCeUtVvO01LAZwWl08DcEvlxSNknKIl/o0TqEcIGQMC1iOlzFy8DsCpAP4uIoOPuJ8DcDGAn4vImQBeAvCuPMcTQnzGkeFQItQjhFSagPVIUeNCVf+E/HMvb6ysOIRMAMpLfjMuoB4hpMIErkeYoXOEhBinUCiVuS+vS7G+Iby38UYZu1GTYpQYFBr1dTzB3rbeqTabOSLb1VXaOAB6jz4kV95wkE3jPP8Om2Z604FJ+uctR1m//+5XpU3d/e3onW7HbV1tt2Dv2i3JbfHEp2xMwD8aDjT1xVf9Mlf+4Xvebtreee0dufIvP/sm03bqJf9r6o92LciV712xp2n70NvN4gOsHUhSb7vbzgPA9qzNy7FHU5Jz4twH32naPvCDpabeKEl8SXfWpkS/5LITTf3cS3+WK1/9UbvquXGrvZ5uLAc+Zprw/DV7m/r0J5M4ixXNNrfU1r2sTJ+5/MZc+d7OfZIx/2JjNUohZD1C44KQWhBwlDchpE4IWI/QuCCkBkjATxyEkPogZD1C42KEjJWroJD7YjQy1NsuroVcM8XcNoXcQ0EwzlaC1Jxy5oY1k7ep0A6fxcZpvu3hXHnebV5X79Dpjzrla0o/ZbE9M6c45dc/bt0t+01aZeo/PDnZUftzv7jBtH31jDNy5VN/aN0gN37oaFN3XTH9+9mn6Gsufqup909pypXT/dYlpSl7bMP2vlxZTrIuk+tPe4upy0AyVrbJupVmf+1FU7/u9ESmD137K9O2oHGjqackGfekOz5q2l65+HFTn96ULGM9sHWFabu/cy9Tv/a9ifw75ic78+5ccw/KInA9QuOCkKojQQdiEULqgbD1CI0LQmpBwE8chJA6IWA9QuOCkFqQLd6FEEIKErAeoXERGMViBMqJySh0XOjpwAuds5g8QcZZuAS+Pn1c4y5b9WI1pNkuGdS+vrx9/eWvDXNm58o7DrZbbLc+8Jwdd3ayN9u2/TtM27Q//Cv/eZqbTJPusHEVfQfMz5XvPNfGHizztvM+8fplufJFZ37AtL3mu0n8yNVfOt60veUH95j649uT97pllX3fx1xjtzRf35dEhTR76cm7MvbaL2hJ4h/+5+GjTNubr/yTqTc6e653Z+01+tF19tgzrvhtrvyDc22+tuatdnks3KWop9qmR647yNSnP5Ms/X2w5dWmbdsCGy1z2nVJUM4DW/fIlZ960i6FLUrgeoTGBSE1IOQob0JIfRCyHqFxQUgtCFgpEELqhID1CI2LwKmUi6Kc5ZrBuxU8QnDjkDqhwLJV7c2/02WxcQZWrc6Vm50yAAxZ/Lppc67Y/g/bNICRk747yWo55/4ppu0V7XYp6q/OSTJvnnaZ3Svuys8nGTtf/4X7TdvtFx5h6jt2TTKVZhZYeX59vc3u2d+W9E312+un3haaD3clwQTyJuviueWCI03dzaSZbbJugsmL7Sa77rFv/Jp1ryxstn3TzrTAF/7wDtM2+10vmHpTKvmUD+pYadr+vm2Oqd/82cRVs2PX5Ce4d4Ndclvv0LggpAaEPJ1JCKkPQtYjNC4IqTaKoNP2EkLqgMD1CI0LQmpBwE8chJA6IWA9QuMicMqJlRhp2utiy1tDj2EIXb7hCHk6k4yOIUtaC8VypGw8AbL505MXI9Xeniuv/KLdmfOl5n1M3d3d9EcfsWm6j/3ePbnybRcdYdrecdGdpv73rmT56UOrdjNt7z3ublNf3+8uRbXLPrsyNt5gYXMSP/LVh22671O+cYep26Wo9tovudYee/o3kviSn55n25q29Jm6+Y6eYb+wa36xwNRnOMtI/zDJXodte9qlqB/+ViLDn7clO8m+8Ge7tLgUQtYjNC4IqQUBKwVCSJ0QsB6hcUFILQhYKRBC6oSA9QiNC0KqjGjY05mEkPAJXY/QuBhHFNqWvFBfn5GmGB8NEy5XRcBR3mR0lJUvYxQxFkOGcraM3/ky6+fvn2zvt0e7FuTKXfNsymw3pfeOWTYmxI2xAIAXtk/Plft67Tn/2mVjDzb3tebKTX76734bK7FpUluunB2wSTAe88Z181H0ZuxP2sBkU8Wj2xck55xt31tTu5dnwvxwW3n7ptquO3dJ3ntfu5W312Z4NzK80Dkj6ZcZwc9xwHqExgUhNSDkJw5CSH0Qsh6hcUFILQhYKRBC6oSA9QiNi8AZqbug0DLVEBn3bhCXwH2lpP7p3N1Ozfd12Bvunhf3ypUH9rdT65tXzMuVs7vb4x5cubup9/clPyEDvdbNcO+KPU19wHFveJvKIuO5Pp5tTnaORb9t+9OKPZAP9XYJ7Ztq9yT/88oFSZs3jHguBvMd9cbt2cWOu70vee+90+0162+zfe9bsTAZpztxSfUPlPlzHLgeoXFBSC0IWCkQQuqEgPUIjQtCaoBki/chhJBChKxHUsW7EEIIIYSUDmcuAmes0n8XisGYUPEPZTDS9OrDEvB0Jhkd6Sl2u/NMZ6ft4KT8TjXZ5ZvZnh6MlPSMZFnoHC+VdKbRPkcuPuHWXPnq/znOtB175b258q9+ardNf99bf2/q7nLTP660QQyf3+92U1/dPy1Xbk3Z5brbs3YZ6O5NG3PlCx6y252ft/8yU29y0n/3qL2el9x3oqmfc0xy7DVXvN20NW22196NZ3jmw3apbMfTNgZjxj925MqZSfZndcsiu9T3nKOT63Lvtr1z5Ztbyk//HbIeoXFBSLUJPBCLEFIHBK5HaFwQUgsCVgqEkDohYD1SNOZCRFpE5CER+ZuIPCEiX4lfXygiD4rIP0XkZyLSVGwsQkiMlvg3TqAeIWQMCFiPlDJz0QvgDaraJSKNAP4kIrcDOBvAJap6o4j8EMCZAC4bQ1kJCvv6R9o2GsrJw1GpXBu1igmp1HkFYUd5jxETRo9knDTcw+Kk/M72VDD9d2dXrtw/2ar2TIt9jnTjH/qn2DiF9X1JzEj/ZHucu206YFN6DwzYPBfuOQBgnXNsi7/l+oCNaWiRJN22evkn1g3Y3Ntmy/WMHcermmP72+x7kwFr1xZyOWRarEwDrcn17m/3r73tu7o/yQe+xb1+2fLWV4SuR4q+G40YvGsb4z8F8AYAN8WvXwfghDGRkJDxhiabDhX7K4aIHC0iz4jIchE5v0C/E0VEReTQSr6VUqEeIaTCBK5HSjKVRCQtIn8FsB7AnQCeA7BVVQfNy5UA5uY5drGIPCIij/SjjA19CBnPVGA6U0TSAC4FcAyA/QCcIiL7DdOvHcAnATxYMflHAPUIIRUmYD1SUkCnqmYAHCwiHQB+DWDf4brlOXYJgCUAMEWml2BDkXqmHNfHhF7yWplvwmEAlqvq8wAgIjcCOB7Ak16/rwL4JoDPVOSsI2Si6BFpsG4G7e8r0NnLg60jf2viLGtNDdhxtM/W3aWg6T47t97s7FjqbV6KZs+d4e5uKpL/HIB1hbSm7DXJpO1zrnsef1zXZQIAjW7demYgntfJPda/Rul+z8dgqnZgf9xUJhnLv56Ssce6770plQyUGskGpwHrkbKcPKq6FcA9AF4DoENEBo2TeQBWlzMWIROZMqYzZw4+scd/i51h5gJY4dSHPPmLyCsBzFfV34z1eyoV6hFCKkPIeqTozIWI7AKgX1W3isgkAEcC+AaAuwGcCOBGAKcBuKXUkxIy4Sn9iWOjqubzbw73rJMbWURSAC4BcHo5oo0F1COEjAEB65FS3CKzAVwX+2VSAH6uqr8RkScB3CgiXwPwGICryjkxIRMWrViU90oA8526/+TfDuAAAPdINP0+C8BSETlOVR+piASlQz1CSCUJXI8UNS5U9XEArxzm9ecR+Wpqzki3JSelUY1U4cU+w4qm3g6ByvhKHwawSEQWAlgF4GQA78mdQnUbgJmDdRG5B8BnamBYVFSPSCqFVFt7Unf99Y2F02S4cQnabdMtZ/eaZ+qp51c5jd4H5sUIPPX1JPV1ut3GJTQ+02rqfXsl533H/va+/+V9h3sCO8WpNk5B1tl1lo1diUy7PmhlkIyVf+OAc/2897apf3Ku7McluMtUAWBjT1uu3NtjY03W9dsloxv6knNO8mIudmbt5+bGJWR77M/UxoE2U7dLUb3lpF5shHusF7oBeNfIDfWQHhs34V+XrJte3b9VvHiXjf3JdejsT9KeZ3QEQRcB6xFuXEZIDajEErJ4lcXHASwD8BSi2YAnROQiETmu8NGEkHonZD3C9N+E1IIKrXdQ1dsA3Oa99qU8fY+ozFkJIUEQsB6hcUFItalhSl5CyDghcD0yLoyLceGDDxj3+o4mhXel0n/XO4KwdzMMHc1mkS2WYnskPLzFVMtJzL33Rzbnyg2zdjVtA2vXmbo0JXEBT7TZFNmLNj+U/yTiebHVRvM1zJmdK/ctfJlpyzbZmIF9W5J4vT/utMEH+7SuzZX/5sUL7N+6ytR7s8lPyMo2G2Ox7yTbd3pDsi25nwNjW8bGpezRvD5XTrda+VzZARtzscOL3bjVC3g079vLR5HeaeNU3DwX2mJ/KiVjP4vGziRGxN9yHWrr7nVx41DcnBelELoeGRfGBSH1RshKgRBSH4SsR2hcEFILAlYKhJA6IWA9QuOCVI1q7JjqjxWsyyxgpUBGgJO2e2DN2gIdAe1NXAKZ3jL2SdHC0+YDq5Ip/xUf3t209bfbG+6zD5yYK6dOsq6Ebz34pqTtSDv9f9FDb/VEcpZP9tu+F2x/h+3r7m7qZz0fsMemGp2dY3fYJa6ffyj/3nbqL+dcaF0f5tijPVeHtiMvA3acza+w17N7VrLEtW+qt0x1kj32/Afemcjbm7irtnXfk//8+QhYj9C4IKTalLhTISGE5CVwPULjgpBaELBSIITUCQHrERoXhNSACqXtJYRMYELWIzQuSFHKiYcoJ96hnL7lxE4EG2fhEPJ0JhkdqXbrux+ybNbZZr2s7dmLkJ6WLGud93sby5FptjENH/xesj/cdR94m2k7+vJ7c+Wbv3CkaXvPfy0z9ce6dsuV71u5h2k7dz/bd91AslTV33J920D+paiff9jGWHzx0FtN3S5FtSnRv3+FPfbsNyfHXvvp401b8xYv/sVJi/7sYjvutMfs0t4Z/+jOlQcm25/VrXvaz/hTZy3Nlf+4bZ9c+ZZJPSiXkPUIjQtCqk3gyW8IIXVA4HqExgUhtSBgpUAIqRMC1iM0LgipMqFn1iOEhE/oeoTGBSmL0cQzFNtWvdRj6yGmohj+NtckAMRPvlD6ZyQNiSpN7TLDtGV3dJt6alJL3r6ZlTa1tT2JjZvQjM17IdOSmAZ/i/VUv603OvuNS3/Ga0vq/rbkjeL3TSIKxfulaxrSNzNsGQAaUwN5+/oMlSE5tklsLIQf8Ogem/K3WPdyWRT6/IeI53yfxduO3e/rXpdGJ+W3f/1KIWQ9QuOCkGoTuK+UEFIHBK5HaFwQUgNCns4khNQHIesRGhcTlEq5GQotUx2NG8RnPLhCDAErhQlLGW6QIYcOJFPz2bXrbWPWzotnuxM3SfalnoJ9y5JhY7Iza3aB527xlqJ2O0s2s80NXluSDjzTLF6bXZK5M5Mss/RTb/eoXYLZnbHHuvRmbV9/d1PbZsdxXSE93jhqvSTm2GyjldffObbQdzQ7ZOPT5Ppmm1JeX3seV4beTDLQkNTlpRCwHqFxQUgNCPmJgxBSH4SsR2hcEFILAlYKhJA6IWA9QuOCkGqjYaftJYTUAYHrERoXdcxoYhoqFcMw7mIhqkDo69PJ6HBjKobFje0oso16OWQ6O3PlNR+1qaxfNqXL1L9zabLl+qyvvGjafnztUbly65k2fuSKq99i6v3JTuPom2p/6S6590RTN2EURX4U02528D1s50svtym93R9YPxZixyE77bFLkmPbPrHWtLW12L4p90v65G6mrfsN9npu/48kXmNGxxbT1tvdYur/77JkK/r+yY6sW3+Hcghdj9C4IKQWjCJ4kBBCAAStR2hcEFIDQn7iIITUByHrERoXhFSbwJPfEELqgMD1CI2LOiaEeIdytmP35R1vKb3LIeRALDI6Uq12+/AhMRjulutpm1vBzZdRLumOJP33nEttnohM00xT/+z3fpYr+1uun375b3PlX3/xKNP20a/fYuqFtlw/59j8W663eHnFt2dsXEKhLdc/ffTIt1z/9IdvypWvPdtuud63xW4DLxnnS7rYfmEn39Vm6tOfSOI1Mq0ddlxvy/VPnpXIcN+2Rbnyhl/ZmI9SCFmP0LggpAaErBQIIfVByHqExgUh1UYRdCAWIaQOCFyPlGxciEgawCMAVqnqW0VkIYAbAUwH8BcAp6pqX6ExSGWpZHrtQhQadzyn9B7L6xtyINZYMhH0SDlLUUfjBvHJbN2WK+/9zSdN276ta0z9mo8kLoEPXv1r03bZOe/KlY/8+h9N242fPdbUu2YnPyF9e1p5rv2hdUn0tyUuoFSf/QL4abobtzu7hb7FuhWuO+s4U085u5BmvNTbkz+5Lu+xx3zrHtO2sNkuu007AQ2f+f3Jpm3ue/5l6m0NydLfA9rtzrZ/7Zxn6jd8LHFD7ZidvLed6+9CuYSsR1LFu+Q4C8BTTv0bAC5R1UUAtgA4s5KCETKu0RL/xh/UI4RUioD1SEnGhYjMA/AWAFfGdQHwBgCDkSnXAThh+KMJIS6DyW9K+RtPUI8QUjlC1yOlukW+A+BcAO1xfQaArao6OKe3EsDc4Q4UkcUAFgNAC1qH60LIxEIVkh1nlkNpUI8QUikC1yNFjQsReSuA9ar6qIgcMfjyMF2HfZequgTAEgCYItPDvRJ1SKEYgGrFY4RIoeWxwSyHnWDfBOqR6rJw0gZT36PZxh40bkm2el/QuNG0NW1NQl78OIT7vOWaTe1JsIQM2I+zabPdTl4GkmWiqT4v7XnaHtuwzUlf7m2/3rzZpjbHQLJkoqHZBm+0eim9M1sSw9R/b/51cGMu/Mf/2ZO2mfouTUk68L1abFrxtX1TTL3TuS5NThzKiAyFgL8JpcxcvA7AcSJyLIAWAFMQPYF0iEhD/NQxD8DqAmMQQhzGm8ujBKhHCKkwIeuRojEXqnqBqs5T1QUATgbwe1V9L4C7AQzuTHMagFvyDEEIcVEAWS3tb5xAPUJIhQlcj5SzWsTnPABni8hyRL7TqyojEiETgICjvKsM9QghIyVgPVJWEi1VvQfAPXH5eQCHVV4kUiqF4ipCiLGoVtxHOecp1LeacSqVms4UkaMBfBdAGsCVqnqx1342gA8CGACwAcAHVPXFIQNVEeqRsSft/aL4dWSTOIWUl+bR9f2n/RvVv28L3ccZ2+iO68cXqHjhN4WSQ3lt4uYN8cZNefJn3fdW5BoNuWZumzdu2rmG/nG+DK687qUfiU4IWY+MZuaCEDJCJKsl/RUcI0pIdSmAYwDsB+AUEdnP6/YYgENV9UBESz6/OQZvhxBSA0LWIzQuCKk2pU5lFn8qOQzAclV9Ps5qeSMAsxuTqt6tqoMpIx9AFDRJCKl3Atcj3FukjgnB9VGI0OXzKbRMtRCHvblIumePKPlNyfOZM0XkEae+JF6WCUQ5IVY4bSsBHF5grDMB3F7qiUn9ctmtbzb1gelemvGPJcWTfvdR2/b+xEXxhXvfYdvO8E4k3pJSh2c+WiAfiZ/vO+u5RdLOT1PGnuOZD0/yxsp/Gjw939Y/nHT+zD0n2bbhFkYP4j2G3/7ogabevD55P9fv4l2TBk/A/3TKTte+0jeYBhC+HqFxQUgtKH03w42qemietpLzRIjI+wAcCuD1JZ+ZEBI2AesRGheE1IAynjgKsRKA+2g2bJ4IETkSwOcBvF5Ve/12Qkh9ErIeYcwFIdWmcr7ShwEsEpGFItKEKH/EUreDiLwSwOUAjlPV9cOMQQipRwLXI5y5IHVPObESo0mZni9V+LO6qSQ5EyqzJ4CqDojIxwEsQ7SE7GpVfUJELgLwiKouBfD/AWgD8ItonzC8pKrH5R2UjAtmvMKm/95tyhZT/9dVe+fKB3/kcdP26DVJPMGck18wbatvXGDqvdOSGfXemXaOvuMpO9ueaUnqkil8/6ed5+LNB9q+056w47phH1nvF63rjTtMvf13k3Plee973rTNabUpvVPOr/Ktjx5k2jpmd5p6ZlYi014dW03bmu3tpp769YxcubcjOW59b6Ggj+EIW4/QuCCkFlRmOhOqehuA27zXvuSUj6zIiQgh4RGwHqFxQUi1UZs8hxBCyiZwPULjgpBaUKEnDkLIBCZgPULjgtQ9lUrbXey4iubtCFcnkHHAobusMPW9Wu2W6xvW7JErH9HxtGl7asMBufKrp9kMz79bv5upayrJ79A73cYMTF5r8z30tSfrB9L9hb8ADd3JI/mmg2xODH9cN34j22RlaJnaZerp9S258mun25iL3ZvslutuWvRbG15h+3bYGJYZzUlsx8JWO87jDXNNff3aqUlFk5/glJeKpCQC1iM0LgipAZINeD6TEFIXhKxHaFwQUm0U5SS/IYSQoQSuR2hckLqn1CWjfttw7dVAoJVKfkPIiGjYmX8O3nVJZL3kjW4bADR2O66OHjtO4w57DnVSeqf6vPvfy7jkHpvutT9TDd0F3CIDdqC+rK23dCXHZtS2+bvDmt1N+2zfAc2fIirl+Sr6Mvnlb+h1XD5lqoTQ9QiNC0JqQcBKgRBSJwSsR2hcEFILAlYKhJA6IWA9QuOCkGoTuK+UEFIHBK5HaFyQuqPYVuhuHEUlYywKxXKUS8hR3qT+eWSD3Wq8c1qzqW/dM1mS+eD2PWzfBcnPwt+3zTFt2xbanww3/fdAu72nt+5lzzkwyUn/XWTZpRtnkZnkjbtnk6m7oRJ++u+e7hZT798rOfavnfNM2/p+m6Y77f5ye9umr+uyfV/cMi1X3jLDbgm/rrvNyrBncl36nPTf2UaUTch6hMYFIVVHg57OJITUA2HrERoXhFQbRdBKgRBSBwSuR2hcEFILwp3NJITUCwHrERoXIySEfAljRejvrVJxE8XGKtTXbTvszd1lyxHy+vS6RsrdtjohNcn6yrM7dyYV//PyzqOvSbYp33DIZNM2+06benv7/jNz5dWvt+Ms+pFNV+2ep3+KjTVo2mC3E+/aK0kr3f6NPtO2Kj3V1M+57MZc+ZpT32ra3n/N7bnyr897k2lb/M2lpv5YV5IO/E8rbOzGp4/5ramv7u/IlVtTVr6ujI2NWNi8Ple+4MF3mLazzv5fU29y9lzfkbVxHt+73B77iU/flCtf/0m7Y3jnZi9Rh/uZf9hrunmGqc9+KrlXtjXbFOn9XozIJz/7i1z5vs5FufK6W8eXHqFxQUgtCFgpEELqhID1CI0LQqqNKpAJeD6TEBI+gesRGhcjJDRXQSXhexu+b76lqM/qpvIFCfiJoy7I5/6Q/GmZh6CeYk7b3TftWLaveH0b1iS7ZE55yU7NS6d1dbT9K2mfq3aZYnrdVitDKnmfqa12raJ022n89LxkeWTXHCuDem/t3s59cuUd81tN2wNbE/fGjl3tgX/etqepv9CZuAd6uu30vzvlDwAbexN3UVPKpvDu8VJkr2iZnitne60Mf9y2j6k3OmP1euP0Ww8V7tuWyLRjVqPX157HuBysuOjtsPffDud6Z7ydWf2+7nV5asusXHnnwAjWogasR2hcEFILAlYKhJA6IWA9QuOCkGqjALLhKgVCSB0QuB6hcUFI1dGhU/KEEFIWYesR0SpOq4jIBgAvApgJYGPVTlyc0OQBwpMpNHmAcGTaXVV3KbXz1KZd9d9mnVJS39+u+O6jqnroiCUbh1CPlEVoMoUmDxCOTONKj1R15mLwwonIIyEpzNDkAcKTKTR5gDBlKpmAfaWhQz1SOqHJFJo8QJgylUzAeoRuEUJqQcBKgRBSJwSsR2hcEFJ1wt5wiBBSD4StR2plXCyp0XnzEZo8QHgyhSYPEKZMxVEAAW+VXEeE9vmHJg8QnkyhyQOEKVNxAtcjVQ3oJIQAUxtfpv8248SS+v523WUM6CSEDCF0PUK3CCFVJ+y0vYSQeiBsPULjgpBqo4AGvD6dEFIHBK5HykjEP3pE5GgReUZElovI+dU8tyPD1SKyXkT+4bw2XUTuFJF/xv+nVVGe+SJyt4g8JSJPiMhZAcjUIiIPicjfYpm+Er++UEQejGX6mYg0FRurwtDLHWcAAAQgSURBVHKlReQxEflNCPKMiqyW9keGQD0yrDzUI6XLRT1SBapmXIhIGsClAI4BsB+AU0Rkv2qd3+FaAEd7r50P4C5VXQTgrrheLQYAnKOq+wJ4DYCPxdelljL1AniDqh4E4GAAR4vIawB8A8AlsUxbAJxZRZkA4CwATzn1WsszclRL+yMG6pG8UI+UDvVIFajmzMVhAJar6vOq2gfgRgDHV/H8AABVvRfAZu/l4wFcF5evA3BCFeVZo6p/icvbEd30c2ssk6rq4FaOjfGfAngDgJtqIZOIzAPwFgBXxnWppTyjQjWK8i7lj/hQjwwvD/VICVCPVI9qGhdzAaxw6ivj10JgV1VdA0RfUgAvq4UQIrIAwCsBPFhrmeKpw78CWA/gTgDPAdiqqgNxl2p/ft8BcC6Sva9n1Fie0RHwE0fgUI8UgXqkINQjVaKaxoUM8xq1Z4yItAH4JYBPqWpnreVR1YyqHgxgHqKnxX2H61YNWUTkrQDWq+qj7su1kmf0KDSTKemPDKGOP/exh3okP9Qj1aWaq0VWApjv1OcBWF3F8xdinYjMVtU1IjIbkZVdNUSkEZFC+LGq/ioEmQZR1a0icg8iP26HiDTEVn41P7/XAThORI4F0AJgCqInkFrJMzoC3yo5cKhH8kA9UhTqkSpSzZmLhwEsiiNzmwCcDGBpFc9fiKUATovLpwG4pVonjn1+VwF4SlW/HYhMu4hIR1yeBOBIRD7cuwEMZm2pmkyqeoGqzlPVBYjum9+r6ntrJU9F0Gxpf8SHemQYqEeKQz1SXapmXMRW4ccBLEN0g/1cVZ+o1vkHEZGfArgfwD4islJEzgRwMYCjROSfAI6K69XidQBOBfAGEflr/HdsjWWaDeBuEXkckTK/U1V/A+A8AGeLyHJEvsqrqijTcIQmT0koAM1qSX/FKLYsU0Sa4+V1y+Pldgsq/46qB/VIXqhHRk5o8pRE6HqE6b8JqTJTZLq+puFNJfW9c+BnedP2xssyn0X0o7ESkQI/RVWfdPp8FMCBqvoRETkZwNtV9aTRvgdCSG0JXY9UNYkWISSiQoFYpSzLdJci3gTgjfEUOiGkzglZjzD9NyFVZju2LPud3jSzxO4tIvKIU1+iqoO7OA63LPNw7/hcH1UdEJFtiKZ+N5YvOSEkFELXIzQuCKkyqupndhwppSyjq+OldoSQfISuR+gWIaR+KWVZZq6PiDQAmIqhmSUJIROXMdEjNC4IqV9KWZbpLkU8EdHyO85cEEIGGRM9QrcIIXVK7PscXJaZBnC1qj4hIhcBeERVlyJaVndDvMxuMyLFQQghAMZOj3ApKiGEEEIqCt0ihBBCCKkoNC4IIYQQUlFoXBBCCCGkotC4IIQQQkhFoXFBCCGEkIpC44IQQgghFYXGBSGEEEIqyv8PbEcVxxVS+qgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 648x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n",
    "\n",
    "im1 = ax1.imshow(nx.adjacency_matrix(g).todense())\n",
    "ax1.set_title('Real adjacency matrix')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "x, _, feeds = next(batching.batches(vae, adj, features, target_func,\n",
    "                                    adj.shape[0], 1,\n",
    "                                    p=1, q=1, neighbour_samples=None))\n",
    "adj_pred = vae.predict_on_fed_batch(x, feeds=feeds)[1]\n",
    "im2 = ax2.imshow(scipy.special.expit(adj_pred[0].mean(axis=0)))\n",
    "im2.set_norm(im1.norm)\n",
    "ax2.set_title('Predicted adjacency matrix')\n",
    "plt.colorbar(im2, ax=ax2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Communities 1 & 2 have `[1, 0, 0, 0, 0]`, comms 3, 4, 5 have `[0, 1, 0, 0, 0]`\n",
    "\n",
    "Loss weights 1, 10, 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f2ae758af60>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, len(history.history), figsize=(len(history.history) * 5, 4))\n",
    "for i, (title, values) in enumerate(history.history.items()):\n",
    "    axes[i].plot(values)\n",
    "    axes[i].set_title(title)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**After training:** $\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsYAAAEKCAYAAAARqpPnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzs3XecXOV96P/P95wzfWe7dlfbVFBHqIDoomPAPXHB4NhOHP+uk2BfJzftpvzimzg3uclN4iSOgx3bcYJjY4grLjgGY1MEQoBkNVQQ6tJKW2e2TJ85z/3jzK5mq7ZKQvq+eS2acspzzpw55zvP+T7PI8YYlFJKKaWUutRZ57sASimllFJKXQg0MFZKKaWUUgoNjJVSSimllAI0MFZKKaWUUgrQwFgppZRSSilAA2OllFJKKaUADYyVUkoppZQCNDBWSimllFIKeAMExiLy7yLyv+d4Ha+KyK2ztKzlIvJzEekXkU/MxjLngogcEZE7z3c5zofZ/LyLy/s/IvJbJc+HHQMX6r4+F9+tC03pZzHL3/uXROTy2ViWUm8Uer0763ovuXPsxeCcBcYiYotIu4i4ImKKf185V+ufiDHmcmPM0zArX6DfB542xkSNMZ+ZlQKqWVX6ecPMPnMRmQd8CPiXkpenfQxcqEH0xWjkcTBDfwt8apaWpdScEZHfEpG/L3k+5rVZRA6LSPNZFqfXO3XROZc1xjbwPPA5YD0QNMZ86Byu/1xZALw61ZlExJmDsqi59yvA48aYVMlr0zoGLgYi8qci8qfnuxznwfeA20Rk/vkuiFJn8Q7gsZLn412bv1+cdiJ6vVMXnXMZGP8SgDHmY8aY7caYzFgTich6EdlWvDXzKBAc8X6jiHxLRDqLv2g/UfLeERH5XRHZKSK9IvKoiARL3v+fInKyuOz9InJHyXx3ish/AK3A90VkQER+X0R+T0S+NaIM/yQi/zBG2X8K3AZ8tjj/MhFZKSJPi0i8eOv2HSXTHymWaSeQGOtkMdH2Ft//AxE5WNymPSLyiyXvtYjIt4vzdovIZ0csft14+2rEOsZdziS27/eK60iIyL+KSL2I/KhY3p+ISNV0pi/WaiwpmXfYLauJjgUZfjt9Rp858GbgmZLpRh0DY+zPMT+zscoyzucx0bZN9HnM5Ls15ndnKsZbxlmO4ekcQ39YXE5MRP5tguO69Dg427njSjlzy/gbxfeHjjdjTBrYCtw11f2i1Egi8sci8rmS51UikhvvWJ7CcquAVcCmkpfHuzZ/D/iFCZZ1sV7vznYumJNzrLqAGGPOyR/wALANWAf4xpnGDxwF/gfgA94D5ID/XXzfwrv4fLI47WLgEHB38f0jwEtAI1AN7AV+vfjecuA40Fh8vhC4rGS+O0c+Lj6fDySAyuJzB+gArhpnG54G/r/iYx/wOvBHxfLeDvQDy0vWtR1oAUJjLGvC7S1O897i9lrA+4plnY9XC7AD+HsggvcF3Vgy37j7akQZxl3OJLfvRaAeaCrut214tRIB4KfA/xpRpklNDxhgScm8/07xOJnEsTDyM572Zw50AlePdwyMs/wxP7Oxph3nGBtz2yb6PJjBd4sJvjtjlO1PgT8d4/WJvn9n2x9TPYZ2432nqvFqwkYeF6O+6+Pt0xHnpd8s7rt3AdnS5Ran+wzw6XN1TtW/i/cPeAT4tZLntwG7x5juB0B8nL8fjDH9LwEPjXhtzGtz8VjvAComKOfTXETXu7NNO9E2MsP4Rf8unL9zWWP8VSAF/BzIishbxpjmOrwD6h+MMTljzDeBl0vevxqYZ4z5lDEma4w5BHwRuK9kms8YY9qMMT14t4LWFV8v4F1IV4mIzxhzxBhz8GyFNsacAp7F+0IC3AN0GWO2TmKbrwPKgL8qlveneCey+0eU97gZfit+0ttrjPlGcXtdY8yjwAHgmuJfI/B7xpiEMSZtjNk0Yvnj7atSEy1nMtv3T8aYdmPMSeA5YIsx5ufGq5X4Dl6Awwymn8hktm+UKX7mlXgnxkmb4DObirG2baLPYybfrWl9d0YYdxmT2B9TPSY+W/xO9QB/wfDjcSLjHS/X4f04+kxx330b78I5Uj/e8aDUTF2BF0QOWocX+A1jjHmbMaZynL+3jbHcdzI8jQLGuTYbY3LAU3h3xSbjYrjenW3auTrHqgvIOQmMRaQG79bNUxR/WRljHh9j0kbgpDHez6uioyWPFwCNxVsYcRGJ4/1yqy+Z5nTJ4yTeQYwx5nXgt/BqtDpE5BERaZzkJjwEfKD4+APAf0xyvkbguDHGHbE9TSXPj08w/1m3V0Q+JCLbS95fDdTi/So/aozJT7D8MffVCBMtZzLb117yODXG85HrnOr0E5nM9o1nsp95DIhOYbkTfWZTMda2TfR5TPu7dbbvjoj8oGSePwD+oGQ5P4CJv3+T2B9TPSZKv1NHi9s+GeMdL2Ptu7G+t1G8mjqlpk1E/MBlwK6Sl9cyPFCertWly53EtXknXpA+GRfD9e5s087JOXaCcqjz4FzVGP8asN0Y80ljzGvFX6JjOQU0iYiUvNZa8vg4cHjEr+KoMWas2udRjDEPG2M24h2gBvjrsSYb47XvAmtEZDXwNuBrk1kf0Aa0iEjpfm4FTp5lfYMm3F4RWYD3i/PjQI0xphLvNrIU520dK49riiZazmS2b64kgXDJ84YZLGsmn/lOYFQe8XjO8pmNV5bJmujzmNF3a6LvTmmtFfBXeLUpo2qtxlrGJPbHdLSM2Ma2GSwLxt53LWNMt5IxavWUmqJVeAFWEqB43N3KGMeWeLn2A+P8/WiMZT/J8Dz4s12b7wKemGS5L4br3dnM2TlWXTjOVWBcCSwRkdazTLcZyAOfEBFHRN7F8FuqLwF9xQT+kHjdzKwWkavPVgDx+lu8XUQCQBqvpqkwxqTteLk/Q4zXsOabwMPAS8aYY2dbX9EWvByo3xcRn3h9pr4dL39sMs62vRG8E01ncRs/jPcLenDeU8BfiUhERIIicuMk1zuyDOMtZ6bbNxPbgfcX98k9wC0zWNZMPvPHp7juiT6zMcsyBRN9HtP+bk3huzOuCZZxtv0xHR8TkWYRqcarkXl0hsvbjFfWjxf33TsZkfpS3K6r8AIPpWbiCqBORC4TkRDw53g/Jo+MnNAY82ZjTNk4f2OlQHwPL51i0LjXZvEa6q1keEO9iVwM17uzmZNz7ByUU83AuQqM/xbv19I2EUmKyA9FxB45kTEmi9ew5VfwblG/D/h2yfsFvINwHXAY6AK+BFRMogwBvNqsLrzbJHV4F82R/g/w/xdvdfxuyesP4Z2wJptGMbg978DL0eoCHgQ+ZIzZN8n5J9xeY8we4O/wvpDtxfI9P2LeJcAx4ATe/pySiZYz0+2bod8sliuO16DkuzNY1kw+868AbylewM5qos/sLGWZzLLH/Txm+N2a7HdnImMuYxL7YzoexqvlOlT8m1EH+yX77iN4x9sH8PIKS3vWeQdef64zrZ1W6grgx8CP8Bp6teMdx388C8t+BlgrIoPXzImuzW8Fflw8N5zVxXC9m0QZ5+ocqy4gMjwd5hys0KtZOQG8yRgzGzlT50TxF/U+oMEY03e+y6Pm3mQ/cxH5S6DDGDNWd27qHBKRI3it5H8yx+vZAnzeGPNvJc8/YozZPZfrVRe/YgrEl4wx3zrrxNNb/sPA940xXx/x+rBrs4h8A3jYGPOduSiHUheq89HJ9lq8lptHzsO6p6WYT/TbwCMaFF8apvKZG2OmWnuq3mBE5BZgP14tzy8Ba4D/GnzfGHPteSqauvhcgddF2Fz5Ml5Du5FGXpuTTD6/WKmLxvkIjL8AfMwY84ZovS0iEbzbNkfxuu1SFzn9zNUYlgP/idc6/SDwHuN166fUrCnm9dbhdUM2J4p3U8a6ozLs2myM+eW5KoNSF7JznkqhlFJKKaXUhehcDvChlFJKKaXUBet8pFIAUFtbaxYuXHi+Vq+UUjOydevWLmPMvPNdjnNFz9lKqTeyyZ6zz1tgvHDhQl555ZXztXqllJoRETl69qnOPRFpwetGsAFwgS8YY/5xxDS34g0NfLj40reNMZ+aaLl6zlZKvZFN9px93gJjpZRScyIP/I4xZpuIRIGtIvJksR/YUs+VjkyolFJKc4yVUuqiYow5ZYzZVnzcj9f1V9P5LZVSSr0xaGCslFIXKRFZCKzHG8p2pOtFZIeI/EhELh9n/o+KyCsi8kpnZ+ccllQppeBC6ClNUymUUuoiJCJlwLeA3xpjkJptwAJjzICIvAVvSPWlI5dhjPkCXv+2bNiw4fxfsZRSF5VkLsnurt1sPrWZWDpGwS0Q8UVYXbuaDQ0bqA/XIyLntEwaGCul1EVGRHx4QfHXjDHfHvl+aaBsjHlcRB4UkVpjTNe5LKdS6tKUd/M8dfQpXjj1AgW3QEWggppgDSJC3s3zUvtLbD61mUXli3jXsndRHaw+Z2XTVAqllLqIiFe98q/AXmPMp8eZpqE4HSJyDd61oPvclVIpdanKuTke3f8oz5x4hppgDY1ljUR8EWzLxhILv+2nIdxAY6SRtoE2Pr/j87Qn2s9Z+d6wNcaHDh0630VQSr3BLV68+HwXYS7cCHwQ2CUi24uv/RHQCmCM+TzwHuA3RCQPpID7zIWQ3KeUuug9fuhx9nTvoamsacI0CRGhNlxLLB3jK3u+wq+v/XWi/uicl++sgfFc9Yk5E4cOHSKdThMMBudqFUqpC0gynxz2POyEZ7zMdDrNoUOHLrrg2BizCZgwKc8Y81ngs+emREop5elIdvDS6ZeYH5lP1B/ljtY7CPvCGGPY072HnV07uabhGhZVLMJgSOVSPHXsKV6Pv87W9q3c2nLrnJdxMjXGF2SfmMFg8KK7oCmlRtsT34M1IutrceXMv/t610kppc6tbe3bsMVLmXCNy/Ntz9OV6sJn+XjvsvdyvP84P+/4OS+dfgmAK2qv4OqGq4mlYzx/8nlubLoRn+Wb0zKeNcdY+8RUSp0ve+Le7+/uVPfQX+nrSiml3hiyhSxbTm+hJlgDeHcCu1Jee9+cmyOWiRHxRci5uaF5fJYPgyHgBEjlUxyMH5zzck4px3gyfWICbcDvGmNeHWP+jwIfBWhtbZ1qWZVSl6DBYNhn+ci5ObpT3dSEas5zqZRSSk1Ff7afvJvHZ4+u8Y36o9SGamlPeo3srm24luXVy8kUMjz2+mND0w1eD+bSpHulmGSfmGuBf8LrE3MUY8wXjDEbjDEb5s2bN90yK6UuMbF0jI5kB7F0bOg1rTVWSqk3jrybR8Zo/uBYDncvvJvnTz4/VFu85fQWvrLnKxyIHeCKeVcAYIlFOp+e83JOKjCeTJ+YxpiB4uPHAZ+I1M5qSZVSl7SQEwK8IPlc1BoopZSaPX7bj2F45zcWFvcsvIcDsQMc6h3d7uO12GssrvDalLjGJeybecPrszlrYKx9Yiqlzoc98T10p7qJpWP0Zno5nThNb6b3fBdLKaXUNET9USK+yLBa39tabyOWibGjc8fQaxX+iqHHiyoWEc/EATAYGiINc17OyeQYa5+YSqnzri/bR7m/nHg6TlWw6nwXRyml1BQ4lsPGxo38+OiPme/MpyHSwPLq5XSnurl3+b0AvNj2IitrVlIZqAS8vORnTjxDIpegJljDgvIFc1/Os02gfWIqpc6neDpOLBPDsRz6sn1EfVFi6Zg2wFNKqTeYNXVreOLoE+QKOU4nTvPg9gdHTXOs/9iw58YYYukY71r6LiyZ+wGbdUhopdQFz7EcaoNes4WJRkpSSil14Sr3l3PPwns4nTxN3s1Pap72ZDuLKhaxZt6aOS6dRwNjpdQbwuHew2efSCml1AXt+sbrubP1Tk4NnGIgO8B4mbe5Qo4TAyeYXzaf+1fcj9/2n5PyTakfY6WUOt960j1UBCrOPqFSSqkLjohwe+vt1EfqeeroU7Ql2vBZPkJOCEHIuTlS+RQ+28ctTbdwa+utBOzAOSufBsZKqTeERRWL6Ep3UR2sPt9FUUopNQMiwura1VxecznH+4+zrWMb3aluCm6BiD/C6prVrKhZgeRsug73k+rvxS0Y/EGbqoYI0ZrgnKXVaWCslFJKKaUmxRhDe7Kd04nTZAoZfJaPykAlC8oXYFv2lJYlIrSWt9JaPnw05IFYhoMvdnP6YC+ua7AsQQQKrgEDZVUBFl5RQ93CCixrdgNkDYyVUhe8vJunK90FMCwfre1AfOhx49LKc14upZS6VBTcAvt69rHp5CaO9x8HvL6FB0ezqwhUsLFpI2vnrZ3RQBydx/vZ9fQJQAiX+7Hs4YGvMYZsqsCup9uYf1mClTfOx3Zmr8mcBsZKqQtaZbASEaHCX0FvthdjDFXBKso66oZ1JNl2IK7BsVJKzYFMIcM3X/smu7t2U+4vZ35k/qhUhmQuyQ8O/YAX2l7gQ8t/iejJOMmtWynE42DAKi8nfOV6gsuWIf6xG9L1nEqw86njBMt8+AI2bsEln3VBwLIsLFsQEQJhB3/I5vQhb9CnVTc1zlrNsQbGSqk5sye+Z9jzVZWrprUcYwy9We8EWBkcHvwOxDMAlFWeu8YZSil1qci5OR7Z9wivxV6juax53NzesC9M2A5hb32VLQ/9BpeHFhMMlyPBIAD5nh4ye/YgoSBlN91M2c03Ic6ZMLSQc9n19An8YZt8tkB32wDJvhwyNIy0EKn0U14bIhB2EBGiNQFOHeyltiVCw+LZqRjR7tqUUnNiZFA83mvjWVW5ippQDVXBKiqDlTREGkb1RjEQz+D4zpzGSlMrlFJKzdyWti3s69lHY6RxwgZvUnCZ/9NXWbqljZxjOBCIYddUY0ci2JEITlUVvqYmrEgZfT/+MT1f/RpuNjs0f+eJftL9WTqODnDqYC+ZRI57/ttqbrl/Of6Qw/Lr67nl/Su4+b7ldJ3oJ58tICIEIw5HdnWP2+3bVGmNsVJqTnWnugFmNFJdVbCKWDo29HhB/0rSvQVSfdlh6RRaa6yUUrMn5+Z49uSzzAvNI+qPckfrHYR9YYwx7Onew86undQEa7il5RZCKZfcm65lW+KLBLJpYuk48XQaTBUFIwgGv+0S8YOvqYn0vr3Ev/lNqu67D0R4/ZV2etoT2LZNIOyw5Ko6+nvS+Pxe5UdPW4L2QwfYeO8yshmXttd7aVxSgT9k09+Tob87TXltaMbbrIGxUmrWDdYMDwbFg49rQjXsie+ZUkpFTaiG7lQ3VcGq0W8KBEIOmdTkRlBSSik1eYfih0jmklQGKnGNy/Ntz9OV6sJn+XjvsvdyvP84t7Xexiu7nyD4pW9Re9dbWXzL26m57AqMFcS2A7TvPsWhJ/cSqg6z/t5r8Yd95Do6yT35Y1LbdxDesIFC3QKO7enB8Vn4AhbBMh/1iyrYv+U0S6+qA6C3IzVULn/AIpHKc/pwn9e2RCB2OqGBsVLqwjUYFJfW9A4GxyMNpkCMbDy3qnIVe+J7hoLjoXn7IdWXJdmXJT2Qwy0Uu/DRGmOllJo1u7t2Dw2ukcwnSeaTgFeTHMvEiPgiVAYqSW/ajN+x6Dy4hw03vYPv/80PKGTTGCvJu37nw/QfbKPlxmW0vbiPth0nWPb2DSQWXkOgK07i+ReIramkkDeEyrzu3tbc1kIo6mfVxkZyqTwb3rKQyvoIxjX4Qw5igS9gk0nlSfVnsS0hmy7MyjZrjrFSas4MBsUjH5cqzQueKEe4NKB2xPtNn+rPkk7kSPV7eWqDDfGUUkrNXH+2H5/lG/V61B+lNlRLe7KdnkQXl4WayZSHqVl5N+GKSsj34thpxAaxBTBULqqn89UTOJaha+ch6lY28VpuCfG9hzm+8xS24+XFNSyuIBhxiLcnh9Z3fG8PP/m3V3nqoT0I0LLSux7YthDvSOG6BtvWXimUUm8AvRmvN4nxhnE2+TNpEKUtlAcN1hqXPn/tQDvJPi8YziTzOD6LZF+WUPnYXQAppZSaOkssDMMbtTmWw90L7+b5k8+Tc3O88PPvccstb6a1/AMc2dmBWyhgWXDP73yAaG0lbS8dJNUzQD6dxbjesjK9SYIVIURgX3oxVnwA2/FhXEPdwiiV9RHCFXn8QQdjIJsp0H64D4BCwRAq84J122eRSebIlfkIRkcH8NOhgbFSak7E0jHi6fhQK+Z42qsNLs0zTm3fAYGmoXlMPj9mf8SlOcmltcqpgSy+gENqIEsoqkGxUkpNxLiG/p50Me3A4PhsojXBcQfIqA5Wc6j30NBzC4t7Ft7DgdiBodf74x38/Oufoj10I+Gaeloub8IYw+N/+x+89fc+xPwrF9O9vw1/JMDVH7sb8AJjxBBwXLrdIMGMS7Q6QH9PhmDEz7Nf34/jt1h1UxO5VJ6tPzoCgFjg+C06jvV7z0XAgHGhtjk6K/tIA2Ol1KzaE98zlF8sIvRlvV/55f5y4EwjvNT2HfQEmsB1SSTcofkjkzy3DeYYh6MC4j0HHehDKaVGyqbzdBzp4+jubtKJHCJgjFdp4fgtWlZWMX9JJaGy4RUMa+etZfOpzRhjEBFua72NWCbGjs4dQ9MEwmXkiZJ3y1h795UceMF7b9nN6xhojxPwByhvrsEtGF753BMY17DqvdcRsrxg3MIlkTQ0Lg5RVhUkk8wR70hS21w2rCyL18/j8o1NWJaw/k0LaD/cx8+fOEo+Z6htKcMfnJ2QVgNjpdSExmsYNytKgmKrkMG1J9d4bjAItmyLugVRju3tIRTRGmOllBqptzPF9qeOkU8XCEYcotXBYe/ncy6Hd3RzZGc3l9/USP2iM2lvzdFm6kJ1JHIJllQtYXn1crpT3dy7/F4AXmx7kepomDV/9gEK4ufErtc4+eohonVVNK+6jNObD9GwvJVkZx/xwx3Mu7yZjl3HidRXkujoA2PwkSWRFxy/TW2TN1BH/aIKbMfC8du0HfDap/iDDh3H+tny2MGh8hXyBjA0LRuj16Jp0sBYKTWukQ3jphoc96R7aAg3AHA6eXooz7j1cBrEHpou1es1mgsVz8ep7TsIrVs78cJldBmVUkqd0deVYtt/HcXxW0RrgrjGJefmMIAjNpZYOD6LaHWAfLbArqdPYIzXAA68u363t97Ow/se5mT/SR7c/uCodRwDjnx5M4XucqxQjsr5tdz58XvJJlJUveMacskM3a+dItHZx1W/dier3nMduWSWbV96CpPJEKoK04tNIV+g62SC3c+eJJsuMH9JBcs21LP1R0dYcEUNdQvL2fSN14bWW8i75NIFaprLqF9YPmv7TANjpdSkzWaaQr6rE9PQUPKKIdWfIxKZXGc5yb4smUQep0JripVSaqR8tsCOp45j+4WMk+JwTxunE6e8EeKKFQt14XqaypqoCFTg+G3CFX5e3dRGtDpIpNj95era1dzWchs/O/YzGsoaxuylItFSQ7grA8bgrwhxdNt+TvzXHqoW1dOycQUA6ViC5//qMRBh2VuvZN7KJk4+s5PQiuWEuh3SiTzl1Q4Nl1XSecwb2c51vbzodXcuINmX5Zb7V4DxeqnYu/kUFfURlm6ox/bNXidrGhgrpSY02AXaTPsIdqzxTjdeK2U73U8hWE4i4VKtsa5SSs1I57F+EokUR8zrxNMxbMvhw/f+Iolkih/+eBNNjfO4/po1IF7t6/GdcRxsRPKcfC3Gsmu8igsR4U0L3kTQCfLEkSewxKI6WI3fPnOiTtf7IGQIJvpoWrKQ1iuW0nL5EizHwgn4WPmea9n7zS3exMbQsfsYLdctoX3HMayqaiKFDKZgcAtet2v1i8rJpvJs/8kxclmX//zLlxm8VgRCDhV1YZqWVZIeyNG4ZHbT/DQwVkqN6dhrXaR7z3SlNhDPTCs47kp3AZB3zyzLxQyN5Jzqz5HqT4PxESqmvvUEmmhCKaXUdBhj2L/9JPsTe8jYaaL+KGuvWE4s3off79X43rpxA48/sYlYvI/ly1tpWDCPrj1JQtEgJ/fHWLRuHj6/l/ImItzcfDOX11zO9o7tbG7bTNbNEoqlmbevncpDGXLuLZSnHY7++084+r2tWOEwtUsaWbBxFXu/uYVQdRmpngEwhupFtSR7EgTXXEEq6dKysppAxMfh7Z1Ea4JYlhAIOQSay6hujODmDcYYLFuwHAu34DLQk2H59Q2EZ7mbTg2MlVKj7InvoQxvGE7X9kYTsgr2RLOMqTpYPdQrRXWwGmDoNpwBkkmvBqDkzt6UBCJ6ClNKqZH64klePbafTDBNxBchEgmxsGU+r2zfy7orlgFe8Oz3+QAhEoyQSCTZ0bGLDQ1X47qG+Okk81qHdxNUE6rhjgV3cL1/Oae/+hC57fuhOwaWw4GyY/RJGF+6F+ntpuAI+fI09bmFJHMDrP/F23D8DggkepIcP5hCfBZuf4bmFdWU1wQxruHIri4vKA47iAiWJVh+GSpzuj9LNuOy9Op6WlZUz/q+06uKUmpC6ZgXGIfLbfImf5apR2spawGgN+sN9NGR7OBymuibvwYSLrguMqID+ckIl/vJpPI4fpts5ky5tKs2pdSl7vWOQyTyCeora7nj1mupq60ilU6zeIF3L+6Ga9bg2DbvesftuK5L/0CSb3z3J6TyaTqTHURNNbns2EMsZw4fpuPPPoV7+hROMEgi4udEso1sKk+m4k4MAZxCATvvkt7yOk/tOkgqaPHt//sFFi6/hnBjM1YwCGKT7M1QURemvDaIiLDkqjoq68Mc2dlFb2cKEbCKI9q5Be86Ud0YYcHqWqrnR+Zk32lgrJQakzHDg9VUX25S862qXMUevJHq4un4UEAMsCZzHQaDa46VzCFQHARkStXGJcULl/t11DullCra2r4Vxw7guoZDR04Qi/ex+aWdvP8999DbN8Dxk+1UVJTx46c2s3hRM3Xzqtl43TqeeOYFjvYd4/LA2N2f5To6OPUnnyTf041TU0s828vx/hNY4ido0rip/QyEV2HycQpOHjvv4jM2p5qinIoWOGz2cpevhQCQ6MviDzqsXB0k+fIruAP9IEKkopL1N11GuuCn68QAmVQeAYIRH7Ut0VlPnRhJA2Ol1DClwy8n+3JkHG+8+kA+DEytZ4rKYOXQkNA3cTc+47UcHggtPDORDP3vzEtjDA1dajAIDkYcfAGbbGoHGIyxAAAgAElEQVTqNdlKKXUx6kp1cSJ9jHq5nGQyTSQcYlFrIwta5hMMBQiGAqxZvZSqynLaO3sIR0JUVpTRUF+Dz/LTn+0naSeH8ouHLftznyff0YGvqYm6P/5DqmyLRU6IIy8fYse3n6dhVSu3vv9OLMeh58hpXnrwEXyZNPOPJRi4opq+TD/Pvf4C19RcR0iSLBp4lfiD+727hrYDxmDcAmLZhNatpenGG/E1ndsWJxoYK6VG6U51EzI1AORjXjAbmOZomxWBCm6NNdIfGuxOx5T8f6TJVxmHyv3YfouBWJpwuZ9wuX/GPWcopdQbXV+2D8J5CBcgZ/Hiy7t48eVdRMvCvOcX7qCzK87jTzzPhz/wDioqyli5bBHJVIrBm4RiLHImT2V9eNhycx0dJDZvxq6pIS8OKQmCFcAX8LPmF25g9Tuuw7JtcqkMA529LL5+OYuu+yQUR81LpTP8zT/8B6esY5S5Nk379iFlYZzGRm9o5xKmUCC1azepn2+n8t73El6//lztPmav4zel1EUl2z8YwJ75D5h0nnFNqIaqYBW3xZvoDy3wRrnrz5PoL4BrSiLjYirFUDrFxMFxaW11IedSVhUkFNU0ikEi0iIiPxORvSLyqoj85hjTiIh8RkReF5GdInLl+SirUmr2FdwCRgwsSEDGC/N8jsM9d97Arldfxxivh4efPfcK73rb7TTOr6WyPMoLW7yhnCXlUL7QwhcYXmPc+8PHoVCg4ATZ7y7hh3/5Hb77J1/np198AbdgeP4rLzHQlcD2+9j2rS3ET3Tg5vJ87aMPcvix/+LQph9zcvXPiaSeIb7pUQJN83Gqq0cFxQBi2/jq6rBraog98gipXbvmfscVaY2xUmpsBgwuggwFxZO1qnLVUEqGAXANiYSLZFMAJAgRiViEy2xS/UIoGsCxcuQmuZqyygCpvuywRhmaYzwkD/yOMWabiESBrSLypDFmT8k0bwaWFv+uBT5X/Fcp9QYXsAMIArVp8EWx8jb3vPkGXjt4jB27zowc5/c59PUP8NgPnyFfKDa0KwhihHlLykYtN7n5BQiHOeIsp1PqyBiHd//vt1BeFyWTzBA/0YmIIZfKUbmolcqWOpI9A1iZHhpu/RVe/oMHiG7Msf61HAeiWa6QAn4m7u3ICgRwaucRf/Q/8S9ciB2d5q3LKdDAWCk1Siwdo04ADK5xx/xFPxnrT0dwu3swDc2AIZnylhPyQyLhEi6zCUV9JPoz5IwPQSirDEwqhzlU7p9eH28XOWPMKeBU8XG/iOwFmoDSwPidwFeM18LyRRGpFJH5xXmVUm9gdeE6bLHJW1mcNTFum3cXse7+YUFxa3MDV65dwXd+8PSZoDgvuEmL1NJTLG56x6jlFvr6SPmrOW0vIGdcLDcJGBy/g1hCPpOnUHCJlAVY//YrEBGCFRHe9jf/HX84gClfxqK9z1PwOYgPau69D8fnBxEyBw+S3PISZbffjq/e6yq0EI/T95OnsIB8Tw+pHTso27hxzvefBsZKqXEJFiIyqoeKyVhVuYoBttE/fw3JROFMrxYGUr1pQhVBxAz2Y+zloIXKRw81mtq+Y9jz0Lq1o6YJRf2TDqgvJSKyEFgPbBnxVhNwvOT5ieJrwwJjEfko8FGA1tbWuSqmUmoWBZ0g186/lhfaXmBdYwsrli6gq6uX973zLrDgxVd2ctP167Fsm3e+5WYwwum2Hp55ajt9lx1h+cpWyv3lw5bpDSNtcSR0BTnxYxfiFIzL688foG5JPc1rmllx+woilRF2/mgn1c3VNK6cTzaRpe21bkgf4er/+Qnaf+enDFQ6FPIpjj36EFV2FCyLyne/i+yRoySeew6T864VkY0bCa25gtTWbThVVQw8+yyR669H7Kn3qT8VGhgrpYbsie+hO9UNgC8Kqb6ZL3MoqHYLJHvTgCFcEWZY87toDtv2jWqRNzIoHnotsgBAc4snICJlwLeA3zLGjPwkx6prH/XrxxjzBeALABs2bJj6ryOl1HlxVf1VbDq5ieP9x3lw+4OYjAXtQTgegazN0b1PnpnYMtCcwL16gITp4rr57x61PBHBraqnO9OMnwxWeRAn4tCytpVITQTbZ7PspuWc2tfGrh/u5L6/vx/Lsdnz5B4uv+tyvvu/vk/LlYuxK5dg5DBg8LsW2IBleX8wFBQDiGMPnZWsUIjcqTj5zk58DQ1zuOcmERiLSAvwFaABcIEvGGP+ccQ0Avwj8BYgCfyKMWbb7BdXKXWuRaJBBqQPTGhK86W278B090CD19VOcqBAKu51/YbtB9siErEJl9mYgTIwY+dF5Ls6hz13audRlTgKlQsYiGcAtDeKEUTEhxcUf80Y8+0xJjkBtJQ8bwbazkXZlFJzb154HncvvJvHDz/O/Mh8nIADrUlMcxL6fJC3vKDTMVCew7XytA20cXPTzbRGx747lFx9C+aVPGJcqhtruPW/34abd71UChES8QSxk3He81fvxbK9QLeyuZL4qTiO34/4fKT7CmSjOcK+CGFfhKr73oddUUFq1y7y7e0ARO+4A//CBeR7ehjY9PyZAohg0um53nWT6pVisCHHSuA64GMismrENKUNOT6K15BDKfUGs6py+Fc7FPVSG8pMFCmeLgbqOqa2UNcl1Zcj1Zfxxn7GeI/HEKw481u9tLZY/H7ysRgwPFAuqwwMBcWaRuEpVlT8K7DXGPPpcSb7HvChYu8U1wG9ml+s1MVlY9NG7my9k9OJ08QzcS9lzQKpzCG1GWReBioz9Bd6aRto44bGG7hr4V3jtinpLVuAWIBboKalBuN6+cWu67VDiVRGWHXHKgJlAdL9aQq5AnWX1VFeX85tD9zEfz38IohNzs2xvGo5AsQeeZTuf/t3nPp67GpveOf+p56i+8v/RqEnRmDp0uGFmOM0CphEjbE25FDq0lITqiGWjpW8YjAGwuU+AuU2MxlKI9WbBBFCtSEouEMN8KwyF8fyTkelAe5gEJwr1iTkYzGcqqqh6doOxGdQmovWjcAHgV0isr342h8BrQDGmM8Dj+Pd4Xsd7y7fh89DOZVSc0hEuL31dpqjzTxz/BmO9h9FRAhYXmVCzs1RMAUaI428bdHbuLz28gkbWuedIHY4BP1JQhUhHL9DJpHB9tm4rsuRV47QdbgTJ+Bj9T2rMa7hG7//KHbekCgLkAmGqTZJbLFZXLl4aLkmmyV38iT+BQtI9fQUXzRkDhwgdOWVZPbu9VLyXBerbHRvGbNtSjnG2pBDqUuIwetTOJrHlul3eZ4s3vlK9ueGJ7ZOskeJfCyGFYkA4CYSQ6+ntu+gcYyGeJc6Y8wmzrJ3i5UYHzs3JVJKnS8iwvLq5SyrWkZ7sp19PfuIp+MYDOX+clbUrKAxMnqAjVImnydz8BD5I0exbXAth879p/CFHDb9xyZWvmkV6966npf/8yVue+B2Dr54kOPbj7FwwyLsgiETtBmo8CN5yEoH11SvJxipANfFZLNg2/hbWkhu3YZVUYHb642W6l+0iELxTmEhHse/aNFQxchcmnRgrA05lLp0VAWrkIzgixrC/TP9hS4k+7JgCmT7096Qn/4IoYoAoYrhUx6N7mUgXjMqpSN34gQAvubmoZQKp3beDMullFKXBhGhIdJAQ2TyDddMLkfixRcZePY53P5+JLuUUCHCQCDMvGX1NK9r4d4r3ocv5MMX8vOuv3g3hVyBa++7lmwyi+N3+MW/u4/Pf/r7uHkhExhg/R130Lw7jlgW5W9/G1gWYtlkXn+d7JEjVL773Yjf64oz39XFwM+e9sqSSlJ2801ztHeGm1RgrA05lLr07ApsYXXmmqHn/ugMOg2W4v8sa8xf0Q/3fYn19eupwqsNGKs3CqWUUueGm0rR8/Wvk9m3H6e2Fl9TE/P6hWTcwcr42PnkEXb+cB8mlWLe0lpWvuUKnvj7/wIDrgU5n8VH/vmX+czffRuDUG7KWXPFPDZYYbp3PURy5y7ijz0GIlh+P77WVnwNDcS/9a1RZcl3d+HUNxBYsuScbPtkeqWYbEOOj4vII3ijJ2lDDqXe4AZrjf3FgYYssUjUd46qzZ2IUzsPsmeeW4MNJ0bctqsMDm84VzAFr0cLpZRS55TJ54k9+ijZA6/ja24eSrOoCac43ldOZTBFLB3GDoawg0HsSBli20Rq55P2CynJkvMBCDXhOsrcKIF0ghVPf5vu44fJd3YN9S4hto1EoxT6+8m8/jrBZcvwtbQMrTPf1YkVCFL9yx9CnHPTw/Bk1qINOZS6xNSEauhOdWNNI7d43NpeEbBshOG5V0mG91DRevhMdzzi9/op9jU3A16OsVNVpWkUSqlLjslmSR84QHrPHtxEAnEcnJpaQuvW4jQ0THuE0pFSO3eS3rsXX1PzsGX6bZfaUJKuVJiqYIpYOogr0HG0j84vv4LJ54k2tFJuWxhjeOzvf06VVGN6O5l38Elyp19GLAsJh7FCIdyBAUyhgOntxe3tRUIhTC6Hm81iV1RANouvqZGqD3zgnOQWD5pMrxTakEOpS8iqylXsiXudzhwr30dr3woAEvWdE80GTJwCIYAU+7YsrTF+pP/LLKpYBMDa02Hc7p6hE06u/TSDp5/Shncw9gh4Sil1sXGzWRKbNpF4bhOFVAorEEB8PjCG9N59DDzzDL7WVsrfdOfo7s2myBjDwDPPYldUIo5D5bvf5Y00Vxy2ueWFl6m8chXN1y8nUlvG9z/5I7y2cha4BhPvR8JlYAy+oI0/0Unw8Is0dP4cEw6SdXO4hRQAVtiHz/Uj2Twmn8ckk+QyGdx0iuhdd1P9yx/Cv2gRYk2/8fd06Mh3Sqkx1YRqAEiEzgTEE6VRnDUvWGTUUJ4GM7SeW2LzkZ4YBsjFzgTHViQyFBSfy1oDpZQ639xEgp6vfpXsoUPY8+rwF/v6HWTjBbOF7m66vvglKt75DspuvHHa68sdP06uvR1fYyMUCsS/813I5YaGbQ4dOYrTd5CdD7Wx9sO3U+bPEoxkSBcc8lYB0j2EFtbiBBzyA0nM/s00tT9HJuyy9LP/guXzI45N7GdP0fav/0LjH/8vouuv8mrAEU7/6Z+RPXECsS38ixfPWi34VJzbMFwp9YYwlTzikfJdnUN/I2ULNpmCTSjqJ1Tux4kOf98A+Vg3he4ecrEecrEYmYKXauGrrwe0Nwql1KXBZLP0fO1rZI8dw2lqxgqMPcKniGBXVuJraKD3se+R3Db9gYezxR6AhgLSwSGaS4Ztlp4OFjnHcGwXSwyZgpci5/PbOPkUlikQKQ/Q2L6ZpqM/JlcurPnhk4QvW0pwwULy8V4qrruBstVrCC9fiVNVTfCyJXT98Htk207iJpOkdu4id+zYtLdjJrTGWCk1ptKUisHnZzMYDIvfj8lmyXd1EmlqIlUeINWXxbENaatQHP1ZsMSi3F/OO5MroSdOoaen+BfDdbyTsANQVe31d1mkaRRKqYtdcvt2Mq8fxLdgAVXvefewlIbklpeI3vUmnLo6cF1y7e0M/OxpnLo64t/+DsHly4f6f58KN5EYfmdPhKr33Ttq2GbbMthiWDWvi/6ASzpv4xrBdbtouvlWKpc1sufvHiZn55BEilfv/UXysR7w+1n7wyfJ9/ZScf2NOOXlJPftJbx8BZ1PPo7kk4R8PnLHjpHYtg3/ggWztTsnTQNjpS5yY6U4TDawnGzN8cjhmwf/LQ1mESHnCpZ75rRjRnR3nu/pptATIzkQxxLBybq4BReqvNuHWluslLoUGNdl4OlncKqrEdcdldKQPXKUzP7X6H/iSQCid99FcNUq0rt3UygUSO3eTeTaa6e8XssfANctKYgh9sijiN9P+Vvfgl1dTaHnTI9BIhANZIkWK7NzA31U1IXp2PIcbv8AvkUtLPzkp/BV12CMwY5GsYIh8sePUX//BxC/N6MVDNL4oY9w/MF/pCCCnUiQ2b9/+jtwBjSVQqmL2Hh5v+ejn+BQ1E+40k+o0immUviwsGiINOAad6imOBfrId3bQ6Y3Rj7uDeaR7+4+sxytLVZKXeSyR45S6Ok5U+s7RkpD9ujRoenz7e1DwyXbFRUMPPMspjTAnSS7poYxxmcbNmzzeEw+D5aFVVbG4f1bQMC4BY595tNs/+B78Dc24qupJXnodUwuByLk+/soJJNgDP6G+TR+8MNk3CxGhEIsPuXyzwYNjJW6BEyU9zvbcu3tQ3+DQlGf92+Zn0hZcKjLNoPh2s4qrFgfLoZ8TzG3ONFPLtFPPh4n3xOb8zIrpdSFJHfi+PD+3kWouu991H7kV8kdPz6U0gCAZRFYvpzcMS9QtiIRCrEYbn//lNcbWLoE8ftxs1kkGBy6Azg4bPPgEM1jyXd3Eb56AwXH4vXOvbgCifY2evftwuRyvHzrtfRu2UxwfhPpzg7E8ZHv6+Xwn/8Jbj5PoLmZyMrLybt5L6g/R/0Wj6SpFEpdpAZrhfNdnUMnt8G8X6d2HqntO+as9rW0J4lB4Qo/6YEcrnEJlfuHXneNi4XB7enBCOTiMdKSwhKLAKE5KZ9SSl3I3EQSSnN9J0hpKLv1FnJtbeTaSsZVs6zhqWyTZAUCRG64gYFnn8U3fz7RN93pNcQTIXPAG7Y5tGYNoauuxAqHqbr/frJHj9D/1E8hXyBy9dV0p7o5VehhmW1wXKHgWDiVVfirawktXETiwH4qr9wAxhCYV8+Sv/40ls9HaPES+ja/4G2/cQkuWzajfThdGhgrdREbrCEurb09F12ejQyKATAQLPNhjCFc7idQbrPDv5mbEw3Dp+uOka92sC2bXF8v/u4euOyyOS+zUkpdKCQ4Ite3qDSlIdXTQ/iaq7FCIfp++rORU067xjV8zTUktmwhe/gw8UceHfV+audOUjt3nlmTMeROtRFauwanoYGthx5nd02Km3w2drZAsHUBwQULWfqpvyYfjxNdvYa+HdsY2L2LhvfeTyGVxgcU+no5/dC/IgUXxCL6pjunVf6Z0sBYqYvcYG1xaS3uYK3xXPDV13v9YNbXY7JZqjMnIdoEIjg+L3srnyuMOa/bHSPjwMEFfqKBcqLb5j71QymlLjRObS0YLzCWYBBc16sBLqY0JLduI7hqFf7WVq9hXgmTzSKOgz2NXinAqzyp+fCH6f7il8jHYhNWphjXJX+qjcBll1H57neTd/NsattEoi5KfF2YjR/5YwItC/AXe8/wVVeTaT9FqGUBTnkFlt+PHQqBMez5+H/DTaZwMnncy1fgb2ycVvlnSgNjpS5yufb2Yd32jOotYhaE1q0d1qBvsM/hkfK5MWpAShp6GAz+PFx2NAt04YwxvVJKXewCy5YhPu9cbdfUjJnSUPuxB3D7+6l673sAyBw8RPLll8n3dFO2ceOZ/OBp8Le0UPvAbxB7+OvkTp5E/H7s6uqhrtzcTIZCTzcYQ/jqqyl/+9ux/H72dO4mV8iRyCd4ZpmPhs/8Nc33fgg3maDiuhvY8/ufYN4dd1NIJTn18FdY/eCXOfpPnyaxbw+u6xJybYxlEfjIB2ZlP06HBsZKXQLcRGJafVpOlVM7byinuTT4FsehrNJhIO4N1hGscPBGkh/Oqq7C6q8hm+vCb/uQmirsmupR0yml1MXMCgSIXH89A889h/j9Y6Y0dP3zg6NeM64LBZfQVVfNuAy+hgbm/dZvkj16lMTmF0nv3gXGS52wIxGid95JaP36YTXKPzv+M04lTlFwC7xUl2LjZUu58m3vJHFgP76qGlb97Wfp370Tk89z1feexFdZzfK/+yzJ1/Zx4IGPYjC03bCEu29+64zLP10aGCt1kRtMbRhMo5jt2uKRBoPjwccAjUsraTsQp6zS67Myb/LD5hkMkS0Eu7ycUDpHRcbCqajCqarCKQ6Dql21KaUuFeHrriXx8ksU+vqwy8vPOr0xhnxbG+FrrsFXVzcrZRDLIrBoEYFFizDmPkwmg1gW+HyjhmvOFXJsbttMxs1QG6rllDnF55Ycpft9V7IqU8uazz/Erl96N43v/xXmvf0XyPf20rv5BY7//f+lMJDA2BZ7VkZZ8rv/A5/jm5XyT4cGxkpdxAaD1JF5v7OZXzw0Ot5CH4uO5IbWezbHyvcRj8f5p/x2fqPiDpzqGvLVPfgwzIuBCYKvpCZCB/dQSl1KnKoqan71V+n+4hfJ9/RgV1WNCkYHmUKB3KlTBFeuoOLtb5uT8oiIl+88jt1du4llYqyoWsFH136UiC9CwRT4yeVP0lxzM0e+81VW/POXsENhsr1xXv+bP6f2ptto+p3fZ+c//QUvb4iy74Ym3tO0YU7KP1kaGCt1CTDZ7FBQPGg2al9Lh4wGOFwSHI9cz2Ct8Xisaq9mWDhz4vdVVWNXn6kxVkqpS4m/uZnaBx4g/sgjZNvavMZqxVxfYwwmnfb6FhaIbLyRinvuQXzTr21N59Ps7dnL7q7dJHIJHHGoCdVwZf2VtERbsGTs4S+MMTx38jlCTog8eR7d/yiHew8zkB3ga2/9Go8deIwlv3gbDz/9H9g/eJqly69n5W//Lj/58p9x6x/+A/+QqiUYiPCm5o1EfHOf9jcRDYyVukgNNogbrDUeDIpnq+Z1ZFA86PBC31mHkh6o64DU6Ned6privxWAwcYeek0ppS5Fvvp6aj/xCXLHj5N48UVSu3ZhcnlEBLuinPK3vJnQ2rWTSrcYTzqf5unjT/PiqRfJuTkivgiO5bUFOTlwklfaX6E2VMudrXeyunb1qJrrEwMnaE+2UxeuoyPRwUB2AEssfnvDbxNLx3ip/SUWVS6ia0Elu9+3hM5583HL+4h98G72JY+QJseqisWsrTv/6XIaGCt1CbhQ0hCGco076uiOdg97L10eJEQVBVwG21LbWF7tSE215hcrpS5ZIoK/tRV/ayuV730v5PNg216+7wwNZAf4yp6vcHLgJHWhOnz28BrnqD/qTZcb4OF9D3Nn653c3nr7sOC4I9kBQEu0ha5UFwBLK5dyY9ON5N08v3nlb2KJxcfXf5ygE8SxHE72nyTii/DQqw9RFfDSRNbUrpnx9syUBsZKXcRGdqNW+vps6k51UxOaWs1ua98KDnMYgD+OP8SfV3yQTEV4KCgePOWa6orZK6hSSr3BiQjMIF2iVLaQ5Wt7v0Z7op2msqYJpy3zlRG0g/zk2E8IOSFuaLph6L10Po0gVAYqCTkhMvkMx/qPcaT3CD849AO2tm/l/Svfz/6e/bxy+hWubriaW1tu5fM7Pg9AppBhRfUKyvxls7JdMzHznxpKqQtaaN3aUX8zVZpG0Z3qxmf56E51j/l+qZE5xhu5a+jxn/Y9DHg1x9mKMNnKCG5VBSIWxxaN3+BDKaXU9Gzv2M7RvqMsrljMOy97J/evuJ/7lt83quZ23bx1PLDuAcp8ZTSEG/jRkR/Rl+0bej9gBzAYRIRVNasomAIPrHuAzac2s7V9KwA3Nt7I1vatiAivtL/C4srFAKTyKRzL4ZbmW87dhk9AA2Ol1LQNBsXAqOB4su6PfmTo8Sd7vzp0e06Kp6cdDclZKKlSSqlSrnF59uSzVAerMRieb3uer+/7Ot868C1W166mKuD1ClTmK6M52kx/th8An+3DGMPOjjPDQlcHzzSQrghU8EfX/RHH+47z3QPfHeqzPp6Js7x6OQArq1fSnmhnIDsAwPLq5TRFJ66xPlc0lUIpdd7Vh+tJ5BKk8in+KvFtLLFoqWhhUcUiqhh/OFKllFLTc6TvCLF0jKayJpL5JMm8VwmRc3PEMjEivgixTIwbm25kc9tm3rz4zUPzVgWr2NS2iesar8OxHBaUL6DSriJ9XFhoL2HturU0Wq2sv34DOSvL1/Z/lS/s+AK/vPqXscQiW8jyue2foyHSQJm/jBsbbyTkhM7XrhhGA2Ol1LSMVzs8Xr5xaRpFutcb4MMpA0ssPlj1a/ztyU9R5itjIDdAc3nz3BRaKaUUAO2J9mHdYw6K+qPUhmppT7azsHwhiVyC7vTw833ICRFPxBnIDlBmRTm0vZOWnVdzrPc4p0K9/POD3wAjUBDy2QJYdfQ1HOYv+v8Cn+2jKljF/LL5OJbDqf/H3p3HyXXVd97/nHtv7dX73q1utfbNlm1JtrzgBduAbTAGDJishMAQEphksrySSTKTPU/CJJk8YSATzPIQlgDBbMYstrEBG9uyJcuWZG3WLrV636trr3vP88fp6qrqRWpJLXW39Hu/Xv1SLbeqT5fh9rfP/Z3fiXexpXF+excXk2AshDgnxfXDPss3sRoZoD5cT9bLThw3Xdu2seE0nu1iuTbZMbCjGguLhnADwESfzPxlvJpQzVnbvwkhhDg3iWwCW9kljzmWw1va38Jzp59Da83mhs1878j3pn29QhFPJHn9+UFG+1O01NXT754ikxkmqEJox0b7LZwQVGTLqejaDE4cVo2ilOl93DnWyebGzRPn/4VAgrEQYlYmZnyn6fwWckIkc9M0Jp5kbDg9cTtrZXA804NCo4n4TVN3n+OjImA6UVQFpYxCCCEuhoAdwNXuxH0Li3va7+HQ0CGOjhylOlhNmb+M9659L2Bqjd+z5j088voj5nzvKo78fIjsoCbsjZHZdZJVQ2MMpAfxtIdjOaSroqTqy8lFA+Bk4VQYfB65pcN0x7tZV7OO+5ffP+OOfvNBgrEQ4qyKyyCivfVmgw4omS2eLdvLkhzxAPAqU/jHgjhRTVmgbOKYcn/5RDgWQggx96oDNaiMjU5b4Hi8cdkbGUoPsavPtPgcTA3yhb1fmDj+l9f/Mo8cfISUmyLrZgkOVpLoiOE7eZBEOo3yB7j5vz9EcjTBU59+BLvCx1vf/wCBcIiBzj5+uO1lUuEMuUMW8YpRbl92O3ctvQvHWlhRdGGNRgix4JxpG2dgVgsmJt5Da8ZiHj4rR9Zz8IYtKKdktiAfiquCVefcG1kIIcTMtNaM9qc4fXCIziMeVX3rcC2bJS31rNm8hv6xAd67+r2gYInhunAAACAASURBVFvnNk7GTk77PgPJAdad2gxH9pOzHRL+OtpuWU1/VwJf0MH1VnLLO67h9Wdf59COHdz04J1cV1XNywP9NJe3sbH8DtYtW5hrSSQYCyHO2XQ7153N2FCq5H4+HOcj8b3+B3mOJyda++RJfbEQQly4VDzLnp91MNqbxHIsopVBWpx6jg0fo2tE86l/+Sa4CsqycNUwKuSWvP7L+74MmDZvvm5F4FCMGGWkdZBwRZAl6+vY9+NDrLl9BY7lUb+ynmf/fTcBey1D+4ZZ9carSP7HcwSuaaLn9Tirr/WwnYXXNViCsRDikkmOZkjG0uSrkUNl5hSUjUGgzCqpLZbZYiGEmBupsSw7fnScbMolWh2YuErXHGmma6yTlJskGB6/+pe0YUcNevMAKlwajvML5m7sbGEkF8UOBbj3t2+krD5KOp6hfYuZBV6ysRFf0Oa+P7iFbNrllccO4K8qwx0ZhbERPBUhFc8SqQhc0s9hNhZeVBdCLBhnK6OoD9efddHdydf7yelc4QGtCZACrU1IHs2gtFmAB6UL7mS2WAghLoyb83j1qZPk0i6RCn9J6VrA9rOx7hqUUiSycUBDyKwBYVc1Ols4NuflOD12mqvL16OOVeBaPmyd48BPjnBy52l++Pc/obqtCl/Y4dq3rSMVS/PEPz3DqZ0drL2tHddVeLaPzMlTZlxZ71J+DLMmM8ZCiAs2UzjeN7yPKPVTHtcKAqRJ68JsgaWsiVAss8VCCDE3+jvGGBtKU14TnHhsw20tZFM5Xn+ph6bGGq6/8z1kdYbTPT388CfPEQwEsMYC6B4fyfpBRjOjOJbDHa13cHVnI89mD2CPT61WtVawfGsb7de3YtkK7YVBgWVZ3PtHdxDrj5NJZEmMpEna5dgDA+jmzIIsowAJxkKIOVLcw3g2tAJKy4lLArHMFgshxIXRWnNybz/+YKFfcePyClKxLLbPzAYvv66egy90kYpnqVtZwW3X3MDzu3fi2mNw3EeoOcSdbXeyvmY9YV+Ync88h0OWzPhkcmYsQy6Twwk4nNrVRXlDlFQsTf3KWgLRAChF/7FBTu/tIp71E9IWdi5HILwwI+jCjOtCiAXLUeZk1ja6lqyXpT5cT324MCtcHG6jvebx1EiOZCxLIpYhoNKMjipGR0v7Vi6kPpaLnVLq80qpXqXUazM8f4dSakQp9er4159d6jEKIS6+xGiGkb7URAj1BW0q6sP0nhwFwPFbaE+TiptJjeSgy9oVy3hDyy3cvvxWriu7nl9t/RBbGrcQ9oXJJHP09eYosxLYShMoD9G0rp7nvrCDnkP9lDVEidaYnvQvfPFlxgbiBCJ+6lfWcPzFU3haMeaGaGoN4vjt6Qc9z84ajOUEK4SYzjkHWa1RaEZGz/46mS2+YF8A7jnLMc9qra8d//qrSzAmIcQllo7nsCw1cb5euqGGU/sLHYVyGQ+lIFJhNluqborgDxVmcpWCTLKwRiSdzKEcG8uCaCDDde/YwK7H9qM90K6mc083yoLq1krWv2kVmXiW5/6/7bhZD8/10EAOm+ZVC7dP/Wzmsb8AfBL44hmOeVZr/bY5GZEQYlHJell8lu+cyigidpp4bupqZAnEc0Nr/YxSqn2+xyGEmF+ep8nXrFXWh8lmXBIjGcqK6o2P7OylbUMNylKM9CVLW2Zq8NzCfe1prEgUV3vUro6QSibo6OiltrWcHDlqV1WjlMJ2LF748k4qGsu4/qFrGO6KgQY3p6gMpSlf1nipPoJzdtZgLCdYIcRMakI1DCQHJkLxrBbNWUUzxkWzzvkSDXHJ3KSU2gV0An+gtd47+QCl1IeBDwO0tbVd4uEJIS6U47PI59xodYCqhgiV9WGUpbB9Fsuvq+PoK33sf74LgPK6EMGor/AGCmxfobhA2x4d6R6yVpLrW+pp3dDC+69fhlLmKuJA5zCjA2O89vQBbnn/FkATqQ7z00+/SNaz8ekUy29qw3IW7vl+rkZ21hMsyElWiMuFo5yJFmwzheF8ffF04l5QVjjMr53AUq31mFLqPuA7wKrJB2mtHwYeBtiyZYue/LwQYmGLVgWwbIWb8+g4METHgSEAymqCNK2o4OgrfTh+y5RUWNC0opLOQ+YYz9Mo1MTsctbN8s3Xv8Vwd4SAvZwd3z7Iju/tR6NoWNHKxrtX8YN/fZkb37GaXM7m63/zPZava2fTAxsY7UsRsZPYOk391qvm7fOYjbkIxrM6wYKcZIW4EqVGTIDW45PDFVUWI0MelVUWqXz1hSy8u6S01qNFt3+glPpXpVSt1rp/PsclhJhbjt+mZU0VHfuHiFZNv5lG04pKKhtMi7Xe46PEBswupclYlsblFQTGa46//er36HvOIxqywLPxIhZOPIPn2Nh2CkvlsK0krzx+iLt/fTMb71pFLp1hzzdfoiE0QiaepmrTOsqXLOx2nBccjOUEK8SVqW11LfuGe2d1bM4qrT82oXjhXkq73CmlGoEerbVWSt2Amb8/tz2+hRCLQsuqKk7tG8R1Pezx5sOxgdREAD61f5BT+wdLXuO5Gjfn0bLG9JY/1d/JsWdGifiiRGsd7nrDjYTL/OB6vP6zg+z9yesMdgzztt++hWh1lLGBMb73v39KJtlDvZ0kYoVRS9ew8u4Nl/aHPw8XfDFTKdWoxpc7yglWiCvLhS6WC5UFCC3ALUEXO6XUV4EXgDVKqQ6l1AeVUh9RSn1k/JB3A6+Nl8B9AnifLllxI4S4XEQqA6zYVM/YUBrPPftuc56niQ2laL+6hvJaU0axbcdu7JyDCnp4lsfzL+zCzXrEYmnW3rWOu37zdh76y7dT1VhBLp1luGuYTW9egXLL6Q0o3FUbadu6gtqW6MX+cS/YWadsxk+wdwC1SqkO4M8BH4DW+t8wJ9jfVErlgCRyghXistG8qvKs20JPF473De+b9lhv/E/xybPF0UoJx3NJa/0LZ3n+k5huQ0KIK8DSq2rwXI8jr/QRCDoEIs6Ulptaa9KJHJmkS/tVtay4rt5sFZ1Ocnxf38SivEQyxaqr2hgaGcWvAgz1xbEjATJZl2994mmSIwnCZSHu/607ePbpE6T9Ds5ym7U3NaGshV82N5uuFHKCFULMmWTOQVmKUI2NThceb15VOX+DEkKIy5hSimXX1FFRF+b47n6GehIoBbatQClc1wMPyuuCrL25ibrWsongfPpEP+QsrPEtnCOREO1tTex4dT9bNq6noryczmNDBFp9xDIKQhFGs4pgWRACGs+Xw78huWC3gJ5MivyEEJdMoFqRHtCEamxI2wSrbHDne1RCCHH5U0pR0xKlpiXK2FCa/o6Y2fFOQyDsUNtaRrQqMGUmeWwkBUUPveHGa3n+pd2EggHq6it5+pnttLe2YPtsHvrtN9BxvJ8Xnn0NlIYlCfRIjmQic4l/2vMnwVgIcc4uZHbXX124bbm2lFEIIcQlFq0KzNilYjLLtUGZ2uSlbU0kU2kGBoZ51wN3EU8kOXr8NN09AzQ2VvP9Hz/L1i1XsfXuNSRTJlBrDSErdDF/nDm1OOa1hRDzZnIInpOSh7R94e8hhBDioiuPlOHDT87L0tRQy7K2Zj70/ndSXVlOWVmEu+/YSiKZ4viJTlavbGP/68dYtrSZYyc6ye+611SxcHe6m0yCsRDirPJh+EJDsZ3x42TNLEW43E/++pzUFwshxMJUWRemPtxAMpdi2/Y9PPH0Nnw+h0QihfY8aqrLWb2yjZd3HaC1pYH73nQLtm2zc9cBMmmXYNjH8rr2+f4xZk2CsRBiVs4lvE7XqcJfWShSC1aZGWMpoxBCiIWtsj5MU00dVs7B1S5dPf186jP/ydPPbqezu5+vf+tJ1q1ZxjvfdgehUJDjJ7v42iOPk06nySZcNly3dKJ/8mIgNcZCiIsqWOGQGjGbfPgrFRrp5iiEEIuFshSrrmmie2AZxzMHifrLsJRFZ1cfnV19AHz3+z+b9CrNWCpOeaCaG6+55tIP+gIsnggvhFhUxuqn7oqn0djKxnJtghXm73IpoxBCiIWtaUUlK5e20mavYCwbI+2mYYZJDlfnGE2NUZat5k1330AkungW3oHMGAshLhHH85G1MmaFsxBCiEXD9llcc2crPAXB0yG69UlimTEspXAsB1B42iXn5vC5QVrtZWx94zpWrF88i+7yJBgLIS6K9ZXrOdnbD+TLKXL4PP/EfSGEEIuHP+Rw3ZvbqNoTpnp/JbFUnOHcICmdxNMax/NR6VTR3FLHyk0N1C8tn+8hnxf57SSEuCQmh2FHOVJGIYQQi4jjt1m5uYH2jbX0n4rReyJGJuVi24pQuZ+mFZWU1wanbBKymEgwFkJcNGP1vUR76+d7GEIIIeaQ47NpXF5J4/LLb3JDFt8JIS6a6dq2gZktFkIIIRYaCcZCiHkhZRRCCCEWGgnGQoiLqm11bcl9qS0WQgixUMn1TCHERTc5HAshhBALkcwYCyGEEEIIgQRjIYQQQgghAAnGQgghhBBCABKMhRBCCCGEACQYCyGEEEIIAUgwFkIIIYQQApBgLIQQQgghBCDBWAghhBBCCECCsRBCCCGEEIAEYyGEEEIIIQAJxkIIIYQQQgASjIUQQgghhAAkGAshhBBCCAFIMBZCCCGEEAKQYCyEEEIIIQQgwVgIIYQQQghgFsFYKfV5pVSvUuq1GZ5XSqlPKKUOK6V2K6U2zf0whRBCCCGEuLhmM2P8BeCeMzx/L7Bq/OvDwP+98GEJIYQQQghxaTlnO0Br/YxSqv0MhzwAfFFrrYFtSqlKpVST1rprjsYohBDiHCilPg+8DejVWl81zfMK+BfgPiAB/JrWeuelHeVlQGsY6YCO7RDrAjcHgSg0XQuNV4ETmO8RCiHO0VmD8Sy0AKeK7neMPybBeC6ceun8X9t6w9yNQwixmHwB+CTwxRmeL77StxVzpW/rJRnZ5aJnH+x/FIZOgOWALwRKwXAWOnaALwjL3wir3mxuCyEWhbkIxmqax/S0Byr1YUy5BW1tbXPwrS9T04XhsZ5ze49ow9T3kaAsxBVBrvRdZId/Aru/BsEKqGg1gXiyXBoO/gB698GNvwXB8ks/TiHEOZuLYNwBtBbdXwJ0Tneg1vph4GGALVu2TBuer2jFQbY4CCf6Kfn7I943/esjdeM3tHlNuLbwXHFQloAsxJVuVlf6ZDJjGie3we6vQnkL2P6Zj3MCULnUlFq8+Gm4+b/KzLEQi8BcBONHgY8ppb6GuRQ3IrMO52G6UJwYMP/G+0GNr5OM94Hlm/49EgOFcKw9JsJ0uKbwnhKQhRCzvNInkxmTpMfg1a9AWRNseAfUrIRMArZ/tvS41htg5V3w8/8Xypph4DCcfAFWvHF+xi2EmLWzBmOl1FeBO4BapVQH8OeAD0Br/W/ADzALOA5jFnF84GIN9rJ1plCcGDChODls7scHzjzrkA/NoUrz2nCN+be82VzaE0KIc7jSJ4p0vmoW2DlB6NoDHS/DuvtLjwmUQfUySI2Y+0qZCYtDT8Ky28CyL/24hRCzNpuuFL9wluc18NE5G5EorGQORAvhNjkMFc2QGg/I1Sumvm7wiDlmpLMQiANRM8shhBAFcqXvXHkeHHocQtXm/sgpU2M82cq7TQ3y1Q8WHvNHYPgE9B+C+rWXZrxCiPMyF6UUYq7lZ3bzgTYxAF7WBN5gpQnHg0emvi6bMsfkX1P8HjJbLMQVQ670XQSZmDmvVrTOfEzNSkjHIN479Tllw9BxCcZCLHASjBeC1hsK5RTRBlNOEa4ZX0BXYx7XnimpiPeZ2QcorTX2subxUGXh+Hy9cf49og2l31MIcVmSK30XQS4zffeJPMuB9lvg1a/N/Hw6dnHGJoSYMxKMF4rJ4XgKDahCyIXS7hQTHSnGj53ckWLy9xJCCDF7tjNDI9JxoSpTWnH9r5v7gXLY8gF4+d8hEwftml7HQogFTYLxQlIcWE+9NENALlIckieb7rUSiIUQ4vz4o6Y9Wy49/Y528T547hOF+zf+Jrz8BcgmzX3PhbLGSzJUIcT5k2C8UJ1rSD7bewghhDh/ts+0W3v9cahYAusfgMo2Mwt800fh+LPQtXv617oZE6obpuzOLYRYYCQYLwYScIUQYv613QQHf2jWcOz77pmP3fZ/C7fHek1fY9ngQ4gFz5rvAQghhBCLQrQOlt0Ow6dAz3K/k+SwmVVefsfFHJkQYo5IMBZCCCFm6+p3Q8t1pi+xl5v5OK3NrqVuGm7+GISrL90YhRDnTUophBBCiNmyHdjyQdMJ6MjTpqwiVAW+8TaaXs70O3YzphZ5y69DedP8jlkIMWsSjIUQQohzYTtw1btg1Zvg9E44/BSMdphZYicALZth2a1Q1X7m3sdCiAVHgrEQQghxPgJlsPx286W1mT227PkelRDiAkgwFkIIIS6UUmbbZyHEoiaL74QQQgghhECCsRBCCCGEEIAEYyGEEEIIIQAJxkIIIYQQQgCy+G7BefH48FmP2dpeeQlGIoQQAkBrzcnBBKeHksQzOQKOTXXEz+qGMvyOzC8JcTmRYLxAzCYQTz5WArIQQlw8Wddj16lhfnKgl+7RFAC2pfA8QEHQZ3Hbqjq2Lq+hIuSb38EKIeaEBOMFYHIo7hxOnvH45spQyeskIAshxNxKZly+tO04+7piVId9tFSGUJM260jnXJ7c180LRwb40G3LaRk/NwshFi+5BjTPZgrFIZ897VfxMTO9hxBCiPOXyXn8+/PHOdQzRltViLKgb0ooBgg4Ns2VYTyt+befHqY3lpqH0Qoh5pIE4wWkOBTPZKZwLIQQYm48e6iP13tGaaoIThuIJ6sM+9HAV7adQGt98QcohLhopJRiEQr5bJJZd76HIYQQl52s6/Gz1/uoK5saigOOxZvWN1ATDaC15sl9PXSNmFni6rCfjqEkpwaTtNWE52PoQog5IMF4AWmuDNE5nJwIvdPNHEsgFkKIi+dgd4x4OkdV2D/luTvW1HF8IM5ju7uwFPjswkVXpRQ+2+KFo/201bRdyiELIeaQlFLMs8kL55orQxOL65JZd8rX5GOmew8hhBDnZ2/nKAFn6qSE37ZoqQrz2ulRADwN6ZxXckxNxM+rp2TNhxCLmcwYLwD5YFu8iK55lqubJRQLIcTciaWy+OypdcUVIR/JjMubNzRQFw3QE0vz0wO95LxCTbFtKTI5Tdb1SmaThRCLhwTjBURCrhBCzC/bUky3fM6yoL4sMNHT+I41dVy/rJoXjgyUHKeUxp7Fgj0hxMIkf9IKIYQQ42qjAVLTrOWIpXLE0rmJjT4O9YxRXxYoOSaV9SgP+rAsCcZCLFYSjIUQQohxm5ZW4Xp6Stu1RMZlLJWlKmx2uGutDjMYz5QcM5jIcOuquks2ViHE3JNSCiGEEGJcc0WQtuowQ4nslG2ef3Kgj3uvbsJSipFklif2dk8853oaBWxqq7rEIxZCzCUJxkIIIcQ4pRRv3tDAw88cJey3SxbR9Y2l+Y8XT055jdaarpEkN6+spSLsm/K8EGLxkFIKIYQQosi6pgrefk0zXSMp0rkz947XWnN6OMnqhjLu39h8iUYohLhYZMZYCCGEmOSONfWEfDbfeuU0noaqsI+wv/ArM+d69I9lyHkem5ZW8e7NS/A7MtckxGI3q2CslLoH+BfABj6rtf77Sc//GvAPwOnxhz6ptf7sHI5TCCGEuGSUUty4opb1LRW8enKYnx7spXM4iaUUGo2lFDcur+bGFTU0lk/dPloIsTidNRgrpWzgU8CbgA5gu1LqUa31vkmHfl1r/bGLMEYhhBBiXpQHfdy2uo5bVtYynMiQcT0cy6Is6BD0Td0hTwixuM1mxvgG4LDW+iiAUuprwAPA5GAshBBCXJZsS1ETDZz9QCHEojabgqgW4FTR/Y7xxyZ7UCm1Wyn1iFKqdbo3Ukp9WCm1Qym1o6+v7zyGK87q1EvmSwghhBBCnJPZzBhPVzg1ecfM7wFf1VqnlVIfAf4duHPKi7R+GHgYYMuWLdPturmwzDZgtt6wMMZxptdc7DEKIYQQQixyswnGHUDxDPASoLP4AK118WbxnwE+fuFDuwTOFjjHes78fLRhdu8D0wfTSzmze+olCcdCXCFkwbQQQpyf2QTj7cAqpdQyzEn0fcAvFh+glGrSWneN3307sH9ORzlXpguik8Nvor/ozllWGeePDddO/3w+OM/0vc9VfqzF73suJBwLcdmTBdNCCHH+zhqMtdY5pdTHgMcxsw+f11rvVUr9FbBDa/0o8NtKqbcDOWAQ+LWLOOZzMzmQFgfhRD8T4Tc+XvOsrMLt2YjUoeOFMK0jdRO3VaIfwrVni9ez4wTMF0BqGHLpMx8/U3jOfx4SkIW4XC3OBdNaw+hp6Hsd0qNg2RCugYYNEKyY79EJIa4Qs+pjrLX+AfCDSY/9WdHtPwb+eG6HNgeKQ3FJIB6v/Ij3lwbheFFFSHJwytu5k6qiVbi65DUqXAPxfnSk3tzHg3g/XlFYns6ctoQvbzahefJM+OSgLAFZiMvVdAumt05z3INKqduA14Hf1VqfmnyAUurDwIcB2traLsJQMYG461U49AQMHgMUWD5Ag5cFZcOS62HlnVDZVvq60dMwfBIycbD9EK6G2jXg+C/OWIUQl73Ld+e76UKxE4DR8fLoxIAJxclhE259QROGA2Xm+dQwSady4i2ckRMTt5NRU3IdShwBIBNtIeDGIT5AJtxEID6AG2nABRxyeLowZzxdE/jiDUft4qfPNnM9XeCO9019PFxTGpRnKvGQkCzE5WDxLJh2c7D763DsZxCshIo2mHyO9FzoegU6XoLNH4CWTdC1Gw4/CYNHzTHKMkFZKXBCsOJOaL8ZQlVzPmQhxOXt8gzG09XzTg7FYEJxRbMpTaheAekY1G8geWwbI/W3Eu1+EYCsq+lteDMA9UM7IZMk53qkcXACYUjESHgaXzAKiWG8UAWMDQGgo1WQMLdnKqmwin4R5PKPxXvMTLIvOP2LsqnCbHVZY+FxL2t+SeRpr/R1swnJEpCFWMwWx4JprWHPN0worlxaet4qZtkQbTTnvBc/DRVLINZJzl/OoFVPKufhehqfbVEW9BFWOawDj2Ed/Qnq5o9BVfv5j2/oOJx8AWI95tzqL4Oma6B+7XiAV+CPgO07zw9BCLHQXH7B+Ew1xQCBqAnG4RoTjPMGzexvunMPABWDe0gV1U40Dr9CJudOBNfs+HPZRJxDwatZ4x7muDKX+VbET9IRWk276iYdG6QvvAIw59mAr/Tk77ctKmKHSh6zlMKzAoxFlhIZMOMJODP80kjHpoZnq+gkXRyUq5YW/iiYXHIhAVmIy8XiWDDdsxeO/uTMobiY44d4L+7plzledxcnenLk3BE0mkxOE0tnSWc9/I5FNODQ4BumbejvKHvLnxKtbeXUYJJDvTHG0jmzWUckwPrmcipC04Tazl2w/1EzmWL7wBc2j/cdhD3/CakRE9YrW00JR9tWaL/VlHpMnvFODELnK+a9chkIRKB+HdSvl0AtxAJ0eQTjs3WbKJ4tLlazAgaOmEt4qWEIlOGkOskFIgBE02amN+2rJOt6ODa4ngnEoaAikzOzsStyr1Oh4jiuKbfwgKWqG40Jw2OpHEGfjad1yTlTa6iJH8EDuu1mAAI+m8rhvQBEUnsYLV9TMuS66KTaud69JhznNV07EfJpWA8jneYPgJoVMDReDlK1tPB5FAfk8+12IYRYMBbNgunDP4ZAuQnFa++DmpWQScD28a5x7W+A5mvNYwB7vkFmtJf+hGKw5yT+6BKU0vSMpsi5GstSRAI2rgexVI6cGyDbP8bIl/6Wx2o+SDjkx1YKx1J4QM7zUDsVm9oquW11HXVlAY72juEc/TFVRx+FUDXllS34HdssBjz9sqlltnymE1F6BIa1Ke049RIcfw5qV8P1H4Rgual9PvgjUz8NYAfM7LebhaM/A3/U1E0vf+PMVwaFEJec0np+9tnYsmWL3rFjx3m99ujRo5COsTxa1Jlh2rZrRSk0MVD6fLimcHvgyMRNL9ZNzjLdHzytcca6UBQK9PJlbPl/vfHPTylFPFAaLH2Ryonn8k7lCjVvLZlj5jHVBJhZ4bqYmbgZjK4qDNU//d8v04ZkMOEYTEDOh2Mw4TgxYIIxQHrMBGMw4Xi6YCyzxuIydfSoqU9dvnz5eb1eKfWy1nrLXI5pIbuQc/YUsR748V9ARas5kVa0gpuBdfeXBmM3Y0Kn1qQPPUX3cJKae/+E0MpbSCZTfPczf4ltKW55+4coqzaLnn2BMNl0gu997m/QGhq9Xv7D/yC6dhXXLKksOR+7nub0UIKu0RQVQR8bvb1sHXqMYV89Hg7KUrRHsiyN78bvOOALlf4c6TFzFbL1RrAciHVDuApWvQl2fdWE6Ejd9DPi2RTEu6FqOdz4Eem8IcRFNttz9uKcMS6eIZ2228QMrdeKSwyKyyhqVhQOqVmB1XfY3AasUNS81QxDKT7dlU96zg3X4I3PMFuWIjs2SKszhG0p87hTiU6NsJRuPE9zKtfEcOUGKof3Uj12iJHy1bieJpHJTRuO+8YyU8PxdCqaC+G4+A8CIYS4mEY7oWsPpAbN7EKoChqvMrOp6ELZwcipMwZDnRhgeHgEz4qQ2P8kyZ1fxf/Wj+NYCstSbHvscxPHbrzjXWRTSXKuJpVzyfh83Gq/xjdG2zjUO8bqhrKJYwfjaV7vHSPnesRjI3zI9wRetImNt/8yVa3rySZH6X/4nXShqCwPUr7xftS6+82CwI7tsOPzkByB4VNQsxzKm6B3P/zov8Oy282s8Ex8Qahsh5EO2PZvcMvvyMyxEAvA4gvGp14Cxvv55kNxPhAX/5sPwfmOEzNpWF+YMR4PyE6kaqI1m2a8LRtTl3WfbbJdYa5jAtiJPohW43nmkp8FeIkhvGAFlqUYVDW0xg5jZxSEK+iym2kcO1j4XglNf3jlW10HwgAAHfdJREFUlIDcN5YBoC4xXqdcPFucN1JURpIYMDMckzkBKacQQlw4raF3nykjGDhk2q3la2ndLOz7jjkmNTLefu0Mnd5bNkPj1eS695E9tBNHQ/r0bpQ/TAAz4dDQvp7r7nwPSimO7nme1jWbyaSTlNW38cTX/g89uTKWZw9TEVacGIiztDpMwGfTH0ux8+QwYb9NNOCwOrGX4bEk4bCP3kM76N73HKtvfZCg5ZKyozhv+Wto32xaxH3nt0yQv+5XTH2x9sxEzN5HTdDNZSCbPHMwzitvhqGjcPSnsOaeOfgPIIS4EIsvGE+W3/Ri8qK6imbo2WdCcfWK6V87eMQcU1xuMB6u7eqleOmxiUMz4UYCZAHQaDPZcbaxFR3gKVDaBGWlwIsPoEJV2MAQZdQlT6IjlVhK4SaGaXQ7IViGrWAo2Eb50F5qE4dhvNzOsUq/+2DN1VSHfaWBeHIZxfmQ3fKEELOlNRx4DPZ/DwIV07df09osvOvbbxau1a2degzA6Z2mbhdNomw5lXf9LkM//mc8T6PzMxdKsenuh3jmG58gERvmLR/4nyhlMdB9Cp8/aM6nGnJaEyDLJz5wM66nsS3FaDLL/u7d+GwLpT225F5mlDJ0OofVfZRgpALby5K1QiilsH0B+p76BLVbHjRXClMj8Noj8MqXzO1bfx9arzeP+cKw9q3QdmNp3XS0HlbfY8outAevPw6xLog0wJGnYOVdsiBPiHm2+INxXj7E5meNi2dJB4+UhuOZwmP+teEaSI+Zk1+4Bg0EyJIL1U/UFOf/LZ41Lq7XLp5MDmf6UeEaFDDm2kTSvViRGtOf3gtSnToN4Sp6shHqsx3YYVOb3KNqqIkfoSp1EkJlJe+tKW3zFo2fIBM3t/3NG0o/g3wonlxnPVsSjoUQs3HoCdj3qJkJtmb49aIURGrBF4WBw2amtW711OOyZhbA05runT9g+TvNnlLZnIvjA1BUN7YzNtRHfMSc23KZFL5AmP0vP8vGm9488Vau6+EpCwX80Td3URsJcKA7Rvl4R4qgTlLujZCov4rr3/5B/LaFrcCpbCS8+SHGXvkmVrAMf/VSVFkj3PtxE3b7DxV+Ju2ZBXm2D5wgvPYts4vf1e8u/Ewr7oTjPzf9l6tXwIo3wqv/YWqX432mDKNp44X8FxBCXKDFHYyjDebyf7imMFsc74NQpfnXHymUVPTsLX1tvvfv0InChhjaK9wuqsVV0YaJ9myWUnha86PRdkI+mxODJo32xwoLAYcSGf7yWhPULUuRDhY23Iim+8CuYThjUZHro8JOMRJsoSx1mgYnjvJVMUw55YkTNOgB9HhI7lU1hHw2xfIdMgKTHreGThdmlCeH4uKFd8XOtsW0EEKcychp2Psds5BuplCcF6k1xzh+U25R1mC6AxXzRyATJ+dpIqtvx+03ExqOl2TEWkKVUoTKKknExvvEK4uK2hZOH90zMUmhNdg6R0o7JHIWKEhnXY72xwn5C+dNR2fRKBJDvXz/839Le3WYurBm9S/8A8nDPzfvb9k4wQjZ4U7sFz+LfecfwyO/Dpt+1QTeXBq+/RETipWC7t2mnVsJXbjK6QQgU3Qetv3Qd0CCsRDzbPEF49YbYLwrBVAajoGJudr8/fziu+DkpXFFil9bvDitqN7WZytedMdnNRRAkmTWZWl1hBODcWrLAlSGfBzuHaMq7OfrPabbw0MNpW3ikr5aQpl+KgOauN1AON0zEY5znkdVuosKRhkJL514TXniBPV6AEw5McVVFFozsStIfgY5Wb5s4vkymBqKJ964ufT+meqLZdZYCHEmx39u2pHZvunbrzlB2PAOU5ubGjFBunevqUFe93azcYYvBDd9FI4/a/obR+vxaU2wr4uxH/4ReB6Wdum362mntJxt7Y1vIZdNEx8ZQqPxMIvvGvQQz+hrOTmcJudq/vodV6OU4qcHe3lqfy8Arhr/VajMe3oaIg2r0F4WN2bWsuTG+kid2I6/YQ2prv1EtDbt5nZ+EV74FNz0Mbj6QdjzSGFQkzdYOvRjuOYhE6SVgpe/WHjOckqDshBiXiy+YJwXKIPWa0xgKw50+aCcdy5dGM7Srmwr8OJx082iuTJE53ASYCIcDyezrKyPcrh3jK6RFABfp5lfbOouectMsB5/2gT2RKAoHBMkFmqhLHmaCj0KQE8uQsq3hGDRrHDOKxRq5Df+yD/kn7QRSCztmnBcHIqL27SdCwnHQojpZBJw4jmImJZpdO2BjpdN+7W8pTeN7yS3zdTeXvdL8MT/MMH4R38EK+82vX7zunabf7Vm18FelqddytxhfO/839zctoVAKMp1d7+PdNxMkixZvQnLdli24QZa12zCHwjy5gf/C3u/+f+wx15PwLH48Be3c3wgQV00wOd+7Xo6h5Ps6RihK2UzlLFJ6ThJ7WMwnuaq9k3ooitrycM/J9BkytR0eQvYjulvDCYAd+6GrR8sDcZW6dU8WjbB4afMRiF1a80fELu+VniP4p9fCDEvFm8wzpsuqE234ceFvN8ZJLMuIZ89JRwDEwH5n0Yq+d01QyU1wZlAHRFMOI5jAnlF2gT6kVDLxHENqdOgoScbmXgsH5Jzniad8wg41sQscn7TkeKA7GpIZ1zC/kkn6fMh4VgIMdnoadPCLL9wbLr2a7Wr4JWvmNvde0wwXnI9nHzR9CtOjRZK2YoopWitDDGSiFDGALuf/honYt8g4LNQyuKeD/4F4YoafvzFv+eNv/yH/PiRh/GHolx3yz289q2/5zVWEHNqsIG+WIaI32E0leWJfd1Uh/2cGDS1zM+zkdv0dhK6hmvv/QBVKzeB59H4oa/T+8zn6Hrpu7Q++Nc4VUtQd/8JmZ/+I4QbsUY6cJQDy99g2ra5WUCZGeD8jnl5jVfBoSfN7b4DJhjnualCiZ8QYt4s/mA8nUsU3PKzxtOFY2AiIAP880H43TVDE/ctpcgE6vCn+4g4LvGcXTp77JoWc7F8/bEvzqAuI5vzSGVdgj4bx1KUJ06ML8QrjGs03E4m502ZPU7MVTgWQohiudTZj/GZmmHA/OsLmyt6S28yrcpGOkyYDFYWulR4LsT7aLUTPB1azfHKt7Jq8Gl6VATX82NZHq889XVue/BjaGVx8JWfExvspqZlBQEydOpaHrPuxGcpgj6LrNKE/DajqRxbl9XwqacPozATCfv1Ou7IvETI0ZzYtx3HH+LElz5CBWO4VoilD/4loeb1oCx0sIJeXUnltfcRqG4hi4LkMNYzH4fRLlwrQLbuKqysJkhRyUd6zCxMHD5pruIlBws/J8rMKAsh5tXlGYwvoq3tlRPlFFAajsGUVQAlARmgtizA94ZaeUdNB66nJ7papPy1BDP9E8flw/Fkg9p0pfA5FhWJE1hZc6odsOvIed7EwryKbC/lieNoDbFIu3mxU0l4rIN0dIkJx2Aa708up5htH2OZNRZCFLOcWfSvnEGoCpo3me2Rh47D4DHTqSK/5WjrDYSW3crgAcXujhHSTZW0nvg2Y8khkv5Kuo/t5ftHXmM0mcWnPGrUKPbJ5/n34x2sfeDP+NHaJoYTGf7gG7v4+IMbcWyF62ke293F80f7cSwLv2MxTDnPcS138iotazZz5LWX6LeaqPcOMOp5HP7Gn00MOehY+HQG347PoewMo041Kc9BezkavCFAo970N/iWXg+hSrzrPwS7vo718hfh2veZEgvPhQM/Mm8Y7zM9m0NV03xAQohLSYLxedjablZPF9cb5+XrjuvLzIxvPrDmg/IXOhr41ZbukrIKtCZi5xjNFmZzi2eN87I5j9rMKcAEYoCcV7q4Y8RXX3iP4oBcHI5ViLBOloZjJ2BWVZ9LOAYJyEIIUzbheWY18HQ9iQGy8YlOE/gjE+3Y0Npc8mrdCle/xyxAy6ZMOPZHJjZoes/1LoOJI+wYWkPXqt9j7OiLXJV4kRorZq6iobFR7FWredHewL5cDW/Y3ct3d/fwP962nhMDCX7vP18lns4xGM+QznnYliLrerie5r1bWnnHdX9AmY5TXV3N9h99mYSqoIMGmnQXo0SwlYVjKSJenBqvH08pTnoNZHOmNlhpm7S2CCkX/c3fIKs0MSvMiF2Fz4K6sIV/33egqt2UlliOqc/WLqx68/SfmxDikpJgfAEmB2SYGpLzM8mTg7JX1PM4HawjmO6nwu8Rd22SdgOhVE8h9GoTioM+e2KmuDgQT27jljfiq6ci21vyWGA8HBOImst6FxKOQQKyEALKmkyJQHLYtMucTv8haLzaLL5rvLrQAzgTMxtcVI5vBhIoM1+TBH02H75tBf/x0kn2dY6gG9/AVwevQSUGiaXHsH0+YjpETAdRCloqHXadHqaxPAAaGisCBByb7pEUIZ9N1tUTbd2iAYf33dDGQ59+HjeX49/e2caaVavp3PUkA2WruPZd/4tl0XK0huTOr+O8+CmSVogBVU3ctbFclwonS7keJk2QDBC1srjKj1+nqdAxhlUNHQlFc4Wf4OARU0ZRt9b8gXDjb07T2k0IMR8kGM+BfECGmUNyXudwkh9l27mv4gRQmFxJBWoJpPsI2znGcuY/S43P9GcbtpppSJm2bwPBNqpSJ6nXA1iqdIZ4ssmhOOFUEs4VxjcRjovlw/G5kvIKIa5cSpkZz+2fMcF4/QMm6Ba3XzuxDa56h2nLlh6F175tXpscNr2AZ5ppLhLy2/z6Le10DCV5/kg/Lyo4bTmcGA1ga2XWXYQcwj4bjUIphd+xsSyFY1mMpbJmgtpSRAIOo8kMngbHVvhsy+yCh4+Yv47vJm+gz3O53T3K9h99GbtzJy2hDKt+40vEo7VUrr6TchSjO7/J0LYvo7RFhgAjvipyrgYrRtQbQ6Pw52KE7TBJFaZ7JE1ruYM9ctos1HvbP5uNpmZLa7NbXs9e89mBKcFovNr0gxZCXBAJxnOsOCRDaVCGQlh+lbVcqw9M7JxnKUU2WI8/1UeZ45K0zOrkYLKbKjsNkRp0fIA6KwZhU4fmJYcoz5SG32KaQp1xSSDOmxyKL4SEYiGubI1XmZnjsV7Y993pj3n1q6X3E/1ms4/ma2f9bZRStFaHeai6jfuvaaZ7OMU/PH6AgM9iLO2SdTW2ZWaBG8tD1Eb9hHw2Yb9Dz0iKnNaQ81BAfXmQ0WSOkUSWr2w7wWO/fSvpnMf2Y4P8/NgoQ+5qXhhdhRVTRPxv4brsa/xDbJTAVQ8wdHI3VSuup/rO/8rLr59i1dAzBN78p6y57gGsQAS0R26og8yBx7G6d1F72+9g1a6k7wu/Siw9SOWy60x5SX5B4tloDT2vmW2kBw4DVqELiJc1W1HXrTVbTtevnfXnKYQoJcH4IjtTUH5VrWUTByfue1qTGd8lL5Qa35gkUkvCcwglu1GRQk9mLz6AClWhML8oZlLJ6MTtdHRJ4Yl8KJ68AO98ZoslFAshnICZHX72HyHWA9H6M88Cx3tNje1NHzMzy+ch7HdYUh0mGvTRWBEsXbsxzrYUjq24vr0KpTQjySzB8VlkSyki/ixLqkLcsqqW+//PzxlL5/j4gxu5Y00933rlNJGAD79jYePx5lAHwfoVdB3dy2s7XyG7bRv3/NLvsHLdNXjPP8vYsR3EDm8DL0fru/+OxNEXCC6/ldhgF4nv/BGB+/6OjvLriA+c5g3RWlR6FA49Dku2nPmz8jzY/ygc/AEEKqCiberxWpvOHj//Z9jwTlj9llnNwgshSkkwvsQml13sZA0AmzhYclLPhUyJhJPsJWzlzKwKkMaHP9GNFa094/dJqRBBnSx5LH/fguk3+MiH4tnWF4OEYiFEQaQWbvtDeOkzpsOE44dwXWGji/H2a7gZqFwCN/zGxLntfPkdi3VN5RzpG6M2OvMGGUopAo6NrVwc27SyzNcYv2l9I4PxDGUBh0jA4ZWTw9y4vIYn9vYQ8Jlja+wUd7/3o+x7/oes2HQ7A71fJRItx+cPUlMe5aQOkD22HQBfRSNeNoUdrUdZNm6sBzV0CoWH49gksy6jqRwVwXLT83n4hFmQNx2t4eD3TSg+03bbSpn2d4FyeO1bYPlg1V3n96EKcQWTYDyPSmeTtwKQPf5iyTH5gAwmJAfITtnNL41vynsHE91kwlObxQcn9TaeMkMsoVgIcSHC1XD7H8LQMTj2LHS8ZOq60JhevZth+e1QtQws6yxvNju3rqplb+fIlMfvvbqR1qowQZ/Nh25dxmO7OvnithOEMEE943pEgw6u57GusYxwwMH1NJvaKtnXNTrRgs62FH/+ri10vPYjDu/eTjqT4q2/8nto18XNZcDLolXRImhl4Suvw4newtgr3yLTvR8/Fqpo0XXG9QozurHumYPx8Ak48P0zh+Jitg8qWkxpReMG2TREiHMkwXiB8bVvLdyZtINfNjT9Qrtgcpo643ANQbJTH89Nun8uQbiYhGIhxEyUgurl5uvaXyy0ZnNCZhZ5jq2oi1JXFmQwnqE6Unj/H+7pLjkuNd4lyNMaBaQyLqtby+geTfPyiSH+17s3ojUc64/z+N7Ca//4vnUc74sR2fF98NdzdPfz7N7+DBVVtTzwwT8hM3iyZJOl6k3vwMumOP3we6l/x9/gq2mHntfQJV06CyH5jBukHHsGbL8JxWvvg5qVpsXb9s+a5yP1sOYeE4hTI7DvUfO4ZcOJ5+Gqd53LRynEFU+C8UI2KXz6Ztrq+nzD7YWQLhRCiNmwfWBXnP24C2BZil+7uZ1PPHWIkWSWitDUq2hgWr41lgfpHU3hamipDtNYblppvnxyiIefOUr5+Gvt8dnsq1vKufeqJg73RGj44D/iKpu9255g7ysvEI5W4guEGN3zQ+zxZFxx9T1E2jeTHelFZeKkT71KsP0GMj170BRmyPPlHOabzVACkhqFUy9CdHzWt2sPdLwM6+4vHLP2PjjylNmOunEjtN1ownSkDo7+DNbce9413EJciSQYLyYzBdGZArMQQlwhGiuC/NYbV/CZZ45yejhJTcRPcFKPd09rqsI+jvXHaa0Ksb6pfGLxcnXYT8Bnkcl5+B2zkUdZwGHHiWE2//WT1JcFuF//hNWZfVzzS3/L+pvuBSARG0anx7CcMJHlN1J3y69y6nsfp/Wtv4/yBQi2bSa2/St4ysZTPjzPbCxSHiz69TtTnfXwSVOBki+hGDllNlMpFq42oRhM+Urb+wqzzF4ORk5D7coL/XiFuGJIML4cnM/M7YWGaZktFkIsMEuqwvz+W9aw4/ggPzvYR/9YGqXGN+RDoYF1zeXcd3UzT+7vZjiRpSrsQynT83h9Uzk7Tw5jWeBYFuGAzUA8TV1ZgLKgwz53I+szu/npV/+JLfd9gPq21YTCUdp/90lGn/lXym/+IL6yOla8/5MAtHzshySPPo+DR8Vvfh87VMm6t/wXciNdOAe+aboDRWqhesX0P1AuzXiB9szifWYXvf5Dpk1b8eYoSp25TEMIMYUE4yvV+c4+SyAWQixg5UEfd65t4NZVdRztizOaypJzNQGfRWtVmLoyU7awrrmc/9x+itPDCRzLojLkoyriZ21DlF2nR7EVhAMOV7dU0j+WxtPQZzdw3FlBW/YYzz36ecbSWcqCPiqtJBsyu+h99XFcrYgGHHzjC51tL4OlcxzqS5AmQDLrcsvKWvA7kByAa39p5kWIs1mceOD7ZnOV9lug/zBor+hJPbsFe0KICfL/GFFKgq8Q4jLgsy3WNE7dWjqvpTLEf7t7FR1DSbYdHWB/1yiplEdlxM+da+oYSWVxPU3AsSgL+jjaP4al4LvW3bxTf5s2q494VSODiSwxHaKbOuq9XnSgoigUp7G9HJ3lG0mrAGNpl40tFYT9jtkIpbzZdOmYyeSyiekkBmHX18ztUDXUjM8+a21CcrB8th+ZEAIJxkIIIa5Q+V30WqvDU57zPM2JwQTPH+7n1FCCaMCmN5YilfXxcs2vEEk8TmvyABFb05GJcjqwghpLUZHrx8v5ULi4VpBTZdcy7IXxXJermstprgjAaKfZOvvGj4J/6veeUNlu2nOmY6UlEsV84ULXj/ab4fQr5nZqxGwEUtZ0YR+SEFcYCcZCCCHEJJalWFYbYVltpOTxkUSWI/1jJNKrUMle2od2cm3PCwyOxhkYqwI3jc9LEXPqGXQaybk+miscWiscyrwBGNXQdC1c876zzwhbFqx6C7z6FROM1z8AlW2my8RNH4Xjz5pFdvlZ576D0L3b3E6PwjUPye53QpyjRRuMU6kUR48ene9hCCEWqVQqRTAYnO9hiEWmIuxjU1vV+L06YAN4v0hlNkldMs2x4RyDqTSRgT2s6XuRaiuG33LBH4LW+0w7tXPZ7a/lOnj9h5AYgH3fnf6Yjh2l98d6zcYeDRvO50cU4oo2q2CslLoH+BfABj6rtf77Sc8HgC8Cm4EB4CGt9fG5HWrB8uXLJRQLIS5IMBhk+fLl8z0McTmwbAhEKQtE2TixoWkb8NYLf29/BG76GDz7TxDvP3Oo1hriveALmhllZ+YtsoUQ0ztrMFZK2cCngDcBHcB2pdSjWut9RYd9EBjSWq9USr0P+Djw0MUYcJ78QhNCCHFFKG8y22y/+GnT29gJmoCsxrtWeK5p2+ZmoKoNbvgN099YCHHOZjNjfANwWGt9FEAp9TXgAaA4GD8A/MX47UeATyqllC7Z81IIIYQQ5yVaD2/8Uxg4DEd/Al27gPH6YQU0b4blt5ttuKWuWIjzNptg3AKcKrrfAWyd6RitdU4pNQLUAP3FBymlPgx8GKCtre08hyyEEEJcgSwL6labr2zKdKNQynSmkLIJIebELLqHM92fnpNngmdzDFrrh7XWW7TWW+rq6mYzPiGEEEJM5guacolQlYRiIebQbIJxB9BadH8J0DnTMUopB6gABudigEIIIYQQQlwKswnG24FVSqllSik/8D7g0UnHPAq8f/z2u4Gnpb5YCCGEEEIsJmetMR6vGf4Y8DimXdvntdZ7lVJ/BezQWj8KfA74klLqMGam+H0Xc9BCCCGEEELMNTVfE7tKqT7gxLx8c6hl0sLAK8CV9jNfaT8vyM98qS3VWl8xiyXm6Jx9Jf5v9Ezk8yiQz6JAPotSc/V5zOqcPW/BeD4ppXZorbfM9zgupSvtZ77Sfl6Qn1ksfPLfq5R8HgXyWRTIZ1HqUn8es6kxFkIIIYQQ4rInwVgIIYQQQgiu3GD88HwPYB5caT/zlfbzgvzMYuGT/16l5PMokM+iQD6LUpf087gia4yFEEIIIYSY7EqdMRZCCCGEEKKEBGMhhBBCCCG4goOxUuqvlVK7lVKvKqWeUEo1///t3T1oFFEYheH3ENHCxkJBMBYWQQgSrLRVFIwiEQVBGwWrFPYaFkyVKo0gloY0/hVBFG3UKlXAxiJiIkEQo6AgqIWFhHwWbrFI9iaRzNzN3vN0d3Zgz2Xg8LHMzuTOVCVJ45Lmmnt+JGlH7kxVk3Re0htJy5K6+tE3kgYlzUtakHQ9d56qSZqQ9FXSbO4stj6ldW9Kib2cUlJnt1Nal6fk6vliB2NgPCIGIuIg8BS4kTtQxV4AByJiAHgHjGTOU4dZ4BwwnTtIlST1ALeBk0A/cFFSf95UlZsEBnOHsP9SWvemlNjLKUV0djuFdnnKJBl6vtjBOCJ+tiy3A139L8SIeB4RS83lDNCbM08dIuJtRMznzlGDQ8BCRLyPiN/AA+BM5kyViohp/r5+3jaZ0ro3pcReTimos9sprstTcvX8lrq/sJNIGgMuAT+Ao5nj1OkK8DB3CNswe4CPLetF4HCmLGarKrh7U9zL5i7vAF09GEt6Cexe4aNGRDyOiAbQkDQCXAVGaw24wVbbb/OcBrAE3K0zW1XWsucCaIVjxf4KZ/mV1r0pJfZyijs7yV3eAbp6MI6I42s89R7wjE1ezqvtV9Jl4DRwLLrkAdbruMbdbBHY27LuBT5nymJWXPemlNjLKe7sJHd5Byj2HmNJfS3LIWAuV5Y6SBoErgFDEfErdx7bUK+APkn7JG0FLgBPMmcyW1Fp3ZviXrZ/uMs7QLFvvpM0BewHloEPwHBEfMqbqjqSFoBtwLfmoZmIGM4YqXKSzgK3gF3Ad+B1RJzIm6oakk4BN4EeYCIixjJHqpSk+8ARYCfwBRiNiDtZQ9malNa9KSX2ckpJnd1OaV2ekqvnix2MzczMzMxaFXsrhZmZmZlZKw/GZmZmZmZ4MDYzMzMzAzwYm5mZmZkBHozNzMzMzAAPxmZmZmZmgAdjMzMzMzMA/gBAc6cFMBy+oAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, adj, features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predicted adjacency matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 648x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n",
    "\n",
    "im1 = ax1.imshow(nx.adjacency_matrix(g).todense())\n",
    "ax1.set_title('Real adjacency matrix')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "x, _, feeds = next(batching.batches(vae, adj, features, target_func,\n",
    "                                    adj.shape[0], 1,\n",
    "                                    p=1, q=1, neighbour_samples=None))\n",
    "adj_pred = vae.predict_on_fed_batch(x, feeds=feeds)[1]\n",
    "im2 = ax2.imshow(scipy.special.expit(adj_pred[0].mean(axis=0)))\n",
    "im2.set_norm(im1.norm)\n",
    "ax2.set_title('Predicted adjacency matrix')\n",
    "plt.colorbar(im2, ax=ax2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Communities 1 & 2 have `[1, 0, 0, 0, 0]`, comms 3, 4, 5 have `[0, 1, 0, 0, 0]`\n",
    "\n",
    "Loss weights 1, 1, 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x7f2ae758af60>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "labels = np.zeros((l * k, l), dtype=np.float32)\n",
    "labels[:2 * k, 0] = 1\n",
    "labels[2 * k:, 1] = 1\n",
    "plt.imshow(labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, len(history.history), figsize=(len(history.history) * 5, 4))\n",
    "for i, (title, values) in enumerate(history.history.items()):\n",
    "    axes[i].plot(values)\n",
    "    axes[i].set_title(title)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**After training:** $\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, adj, features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predicted adjacency matrix:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 648x288 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(9, 4))\n",
    "\n",
    "im1 = ax1.imshow(nx.adjacency_matrix(g).todense())\n",
    "ax1.set_title('Real adjacency matrix')\n",
    "plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "x, _, feeds = next(batching.batches(vae, adj, features, target_func,\n",
    "                                    adj.shape[0], 1,\n",
    "                                    p=1, q=1, neighbour_samples=None))\n",
    "adj_pred = vae.predict_on_fed_batch(x, feeds=feeds)[1]\n",
    "im2 = ax2.imshow(scipy.special.expit(adj_pred[0].mean(axis=0)))\n",
    "im2.set_norm(im1.norm)\n",
    "ax2.set_title('Predicted adjacency matrix')\n",
    "plt.colorbar(im2, ax=ax2);"
   ]
  }
 ],
 "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": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}