ixxi-dante/nw2vec

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projects/scratchpads/nw2vec-refapi.ipynb

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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Reference API for the nw2vec model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports and setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "import time\n",
    "import random\n",
    "import os\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": [
    "random.seed(1)\n",
    "np.random.seed(1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Drawing the predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_ξ_distribution(glk, q_model, q_codecs, adj, features):\n",
    "    assert len(q_codecs) == 1\n",
    "    q_codec = q_codecs[0]\n",
    "    \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",
    "    q_pred = q_model.predict_fullbatch(adj=adj, features=features)\n",
    "\n",
    "    # KDE plots\n",
    "    q_pred_ξ_sample = K.eval(codecs.get_nocache(q_codec, 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": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_predictions_sigmoidbernoullifeatures(model, adj, features):\n",
    "    q_pred, adj_pred, v_pred = model.predict_fullbatch(adj=adj, features=features)\n",
    "    adj_pred_mean = scipy.special.expit(adj_pred).mean(axis=1)[0]\n",
    "    v_pred_mean = scipy.special.expit(v_pred).mean(axis=1)\n",
    "\n",
    "    # Embeddings\n",
    "    fig, ax = plt.subplots(figsize=(4, 4 * n_nodes / 25))\n",
    "    im = ax.imshow(q_pred)\n",
    "    ax.set_title('Embeddings')\n",
    "    plt.colorbar(im, ax=ax)\n",
    "\n",
    "    # Adjacency matrix\n",
    "    fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(12, 4))\n",
    "\n",
    "    im1 = ax1.imshow(nx.adjacency_matrix(g).toarray())\n",
    "    ax1.set_title('Real adj')\n",
    "    plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "    im2 = ax2.imshow(adj_pred_mean)\n",
    "    im2.set_norm(im1.norm)\n",
    "    ax2.set_title('Predicted adj')\n",
    "    plt.colorbar(im2, ax=ax2)\n",
    "    \n",
    "    im3 = ax3.imshow(np.random.binomial(1, adj_pred_mean))\n",
    "    im3.set_norm(im1.norm)\n",
    "    ax3.set_title('Sampled predicted adj')\n",
    "    plt.colorbar(im3, ax=ax3)\n",
    "\n",
    "    # Features\n",
    "    fig, (ax1, ax2, ax3, ax4) = plt.subplots(1, 4, figsize=(16, 4 * n_nodes / 25))\n",
    "\n",
    "    im1 = ax1.imshow(labels)\n",
    "    ax1.set_title('Real labels')\n",
    "    plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "    im2 = ax2.imshow(features)\n",
    "    ax2.set_title('Features ( = noisy labels)')\n",
    "    plt.colorbar(im2, ax=ax2)\n",
    "\n",
    "    im3 = ax3.imshow(v_pred_mean)\n",
    "    im3.set_norm(im1.norm)\n",
    "    ax3.set_title('Predicted labels')\n",
    "    plt.colorbar(im3, ax=ax3)\n",
    "    \n",
    "    im4 = ax4.imshow(np.random.binomial(1, v_pred_mean))\n",
    "    im4.set_norm(im1.norm)\n",
    "    ax4.set_title('Sampled predicted labels')\n",
    "    plt.colorbar(im4, ax=ax4)\n",
    "\n",
    "def plot_predictions_softmaxmultinomialfeatures(model, adj, labels, features):\n",
    "    q_pred, adj_pred, v_pred = model.predict_fullbatch(adj=adj, features=features)\n",
    "    adj_pred_mean = scipy.special.expit(adj_pred).mean(axis=1)[0]\n",
    "    v_pred_mean = utils.softmax(v_pred).mean(axis=1)\n",
    "\n",
    "    # Embeddings\n",
    "    fig, ax = plt.subplots(figsize=(4, 4 * n_nodes / 25))\n",
    "    im = ax.imshow(q_pred)\n",
    "    ax.set_title('Embeddings')\n",
    "    plt.colorbar(im, ax=ax)\n",
    "\n",
    "    # Adjacency matrix\n",
    "    fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(12, 4))\n",
    "\n",
    "    im1 = ax1.imshow(nx.adjacency_matrix(g).toarray())\n",
    "    ax1.set_title('Real adj')\n",
    "    plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "    im2 = ax2.imshow(adj_pred_mean)\n",
    "    im2.set_norm(im1.norm)\n",
    "    ax2.set_title('Predicted adj')\n",
    "    plt.colorbar(im2, ax=ax2)\n",
    "    \n",
    "    im3 = ax3.imshow(np.random.binomial(1, adj_pred_mean))\n",
    "    im3.set_norm(im1.norm)\n",
    "    ax3.set_title('Sampled predicted adj')\n",
    "    plt.colorbar(im3, ax=ax3)\n",
    "\n",
    "    # Features\n",
    "    fig, (ax1, ax2, ax3, ax4, ax5, ax6) = plt.subplots(1, 6, figsize=(24, 4 * n_nodes / 25))\n",
    "\n",
    "    im1 = ax1.imshow(labels)\n",
    "    ax1.set_title('Real labels')\n",
    "    plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "    im2 = ax2.imshow(utils.softmax(labels))\n",
    "    im2.set_norm(im1.norm)\n",
    "    ax2.set_title('Softmax labels (= features MN params)')\n",
    "    plt.colorbar(im2, ax=ax2)\n",
    "    \n",
    "    im3 = ax3.imshow(features.sum(-1)[:, np.newaxis])\n",
    "    ax3.set_title('Node MN draws')\n",
    "    plt.colorbar(im3, ax=ax3)\n",
    "    \n",
    "    im4 = ax4.imshow(features)\n",
    "    im4.set_norm(im3.norm)\n",
    "    ax4.set_title('Features (multinomial)')\n",
    "    plt.colorbar(im4, ax=ax4)\n",
    "\n",
    "    im5 = ax5.imshow(v_pred_mean)\n",
    "    im5.set_norm(im1.norm)\n",
    "    ax5.set_title('Predicted feat. params')\n",
    "    plt.colorbar(im5, ax=ax5)\n",
    "    \n",
    "    im6 = ax6.imshow(np.array([np.random.multinomial(n_samples_node, v_pred_mean_node)\n",
    "                               for n_samples_node, v_pred_mean_node in zip(features.sum(-1), v_pred_mean)]))\n",
    "    im6.set_norm(im3.norm)\n",
    "    ax6.set_title('Sampled predicted features')\n",
    "    plt.colorbar(im6, ax=ax6)\n",
    "\n",
    "def plot_predictions_orthgaussianfeatures(model, g, adj, labels, features):\n",
    "    n_nodes = adj.shape[0]\n",
    "    q_pred, adj_pred, v_pred = model.predict_fullbatch(adj=adj, features=features)\n",
    "    adj_pred_mean = scipy.special.expit(adj_pred).mean(axis=1)[0]\n",
    "    v_pred_μ_mean = v_pred[:, :, :labels.shape[1]].mean(axis=1)\n",
    "    v_pred_S_mean = np.exp(v_pred[:, :, labels.shape[1]:]).mean(axis=1)\n",
    "\n",
    "    # Embeddings\n",
    "    fig, ax = plt.subplots(figsize=(4, 4 * n_nodes / 25))\n",
    "    im = ax.imshow(q_pred)\n",
    "    ax.set_title('Embeddings')\n",
    "    plt.colorbar(im, ax=ax)\n",
    "\n",
    "    # Adjacency matrix\n",
    "    fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(12, 4))\n",
    "\n",
    "    im1 = ax1.imshow(nx.adjacency_matrix(g).toarray())\n",
    "    ax1.set_title('Real adj')\n",
    "    plt.colorbar(im1, ax=ax1)\n",
    "\n",
    "    im2 = ax2.imshow(adj_pred_mean)\n",
    "    im2.set_norm(im1.norm)\n",
    "    ax2.set_title('Predicted adj')\n",
    "    plt.colorbar(im2, ax=ax2)\n",
    "    \n",
    "    im3 = ax3.imshow(np.random.binomial(1, adj_pred_mean))\n",
    "    im3.set_norm(im1.norm)\n",
    "    ax3.set_title('Sampled predicted adj')\n",
    "    plt.colorbar(im3, ax=ax3)\n",
    "\n",
    "    # Features\n",
    "    fig, (ax1, ax2, ax3, ax4, ax5) = plt.subplots(1, 5, figsize=(16, 5 * n_nodes / 25))\n",
    "\n",
    "    im1 = ax1.imshow(labels)\n",
    "    ax1.set_title('Real labels')\n",
    "    plt.colorbar(im1, ax=ax1)\n",
    "    \n",
    "    im2 = ax2.imshow(features)\n",
    "    ax2.set_title('Features ( = noisy labels)')\n",
    "    plt.colorbar(im2, ax=ax2)\n",
    "\n",
    "    im3 = ax3.imshow(v_pred_μ_mean)\n",
    "    im3.set_norm(im2.norm)\n",
    "    ax3.set_title('Predicted features μ')\n",
    "    plt.colorbar(im3, ax=ax3)\n",
    "    \n",
    "    im4 = ax4.imshow(v_pred_S_mean)\n",
    "    #im4.set_norm(im1.norm)\n",
    "    ax4.set_title('Predicted features S')\n",
    "    plt.colorbar(im4, ax=ax4)\n",
    "    \n",
    "    im5 = ax5.imshow(np.random.normal(loc=v_pred_μ_mean, scale=v_pred_S_mean))\n",
    "    im5.set_norm(im2.norm)\n",
    "    ax5.set_title('Sampled predicted features')\n",
    "    plt.colorbar(im5, ax=ax5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Test graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/sl/.conda/envs/base36/lib/python3.6/site-packages/networkx/drawing/nx_pylab.py:611: MatplotlibDeprecationWarning: isinstance(..., numbers.Number)\n",
      "  if cb.is_numlike(alpha):\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Parameters\n",
    "l = 5\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",
    "\n",
    "features = np.array([np.random.multinomial(np.random.randint(5, 20), utils.softmax(node_labels))\n",
    "                     for node_labels in labels])\n",
    "#features = labels + np.abs(np.random.normal(loc=0.0, scale=1.5, size=(l * k, l))).astype(np.float32)\n",
    "viz.draw_network(g, labels=features);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Build the VAE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "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_adj, dim_ξ_v = l, 10, 2, 2\n",
    "overlap = 2\n",
    "dims = (dim_data, dim_l1, dim_ξ_adj, dim_ξ_v)\n",
    "loss_weights = {\n",
    "    'q_mulogS_flat': 1e-2 * 1.0 / (dim_ξ_adj - overlap + dim_ξ_v),\n",
    "    'p_adj': 1.0 / (n_nodes * np.log(2)),\n",
    "    'p_v': 1.0 / (features.sum(-1).mean() * np.log(features.shape[1])),\n",
    "}\n",
    "\n",
    "# Actual VAE\n",
    "q_model, q_codecs = ae.build_q(dims, overlap=overlap,\n",
    "                               fullbatcher=batching.fullbatches, minibatcher=batching.pq_batches)\n",
    "p_builder = ae.build_p_builder(dims,\n",
    "                               feature_codec='SoftmaxMultinomial',\n",
    "                               embedding_slices=[slice(dim_ξ_adj),\n",
    "                                                 slice(dim_ξ_adj - overlap, dim_ξ_adj - overlap + dim_ξ_v)],\n",
    "                               with_l1=True, share_l1=False)\n",
    "vae, vae_codecs = ae.build_vae(\n",
    "    (q_model, q_codecs), p_builder,\n",
    "    n_ξ_samples,\n",
    "    loss_weights=loss_weights\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
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     "metadata": {},
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   ],
   "source": [
    "display(SVG(model_to_dot(vae, rankdir='LR').create(prog='dot', format='svg')))"
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  },
  {
   "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": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/sl/.conda/envs/base36/lib/python3.6/site-packages/scipy/stats/stats.py:1713: FutureWarning: Using a non-tuple sequence for multidimensional indexing is deprecated; use `arr[tuple(seq)]` instead of `arr[seq]`. In the future this will be interpreted as an array index, `arr[np.array(seq)]`, which will result either in an error or a different result.\n",
      "  return np.add.reduce(sorted[indexer] * weights, axis=axis) / sumval\n"
     ]
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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, q_codecs, adj, features)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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rC5a/f/cb0yUsdfzuFX9DXTJXleRQLVzlyD0PLN/M444vXP7wt124dBtnjy7ej0dFkzCJh1965cLl7ROf2P3GBunSzEEAAAAAGJSZgxOoNshQMsyEJqE/uoT+6BL6oknozyhdGhzcq5ZhppnCLGgS+qNL6I8uoS+ahP4M1KXLigEAAABgUGYOTmCUt7aGudAk9EeX0B9dQl80Cf0ZpUszBwEAAABgUGYOTmGQkWSYDU1Cf3QJ/dEl9EWT0J9BujQ4OIFRppnCXGgSpnHBoYfzZy6+47zLP3Po4V1vS5ew3JN/6eMr/X66ZLYq2ThSS9ZZsjxJO7x4nY0ly5Pk6P0bS9fZLU3CNI5++OTC5dXu3/W2RunSZcUAAAAAMCgzB6cwyEgyzIYmoT+6hP7oEvqiSejPIF2aOQgAAAAAgzJzcK/aONegwyxoEvqjS+iPLqEvmoT+DNSlmYMAAAAAMCgzB6cwyEgyzIYmoT+6hP7oEvqiSejPIF0aHNyjyjjTTGEONAn90SX0R5fQF01Cf0bq0mXFAAAAADAoMwen0AYZSoa50CRM4oJDp/PnLrxt4fJd0yXkyFOfsnD5mdvvWNGebNElc7WRHH5wY+EqZy86vnwzxw8vXH78zvuXbuPByy5Zus6uaRIcK9fEzEEAAAAAGJSZgxMY5Rp0mAtNQn90Cf3RJfRFk9CfUbo0OLhXLcO8ew3MgiahP7qE/ugS+qJJ6M9AXbqsGAAAAAAGZebgBGrxvXCBFdMk9EeX0B9dQl80Cf0ZpUszBwEAAABgUGYOTmGQa9BhNjQJ/dEl9EeX0BdNQn8G6dLg4ARGefcamAtNQn90Cf3RJfRFk9CfUbo0OAgAnNNdtz0h7/nJH1qw/LYV7g3M35nb71j3LsAwDt/34NJ1No5euHD5vc+7ZOk2Lvzj07veJ2A5x8r1MDi4Vy1JG2QoGeZAk9AfXUJ/dAl90ST0Z6AuvSEJAAAAAAzKzMEJjHINOsyFJqE/uoT+6BL6oknozyhdmjkIAAAAAIMyc3AKg4wkw2xoEvqjS+iPLqEvmoT+DNKlwcE9qowzzRTmQJPQH11Cf3QJfdEk9GekLl1WDAAAAACDMnNwr1ob5q2tYRY0Cf3RJfRHl9AXTUJ/BurS4CAAcE6HHjidCz53auFyAFi5Q8mZCw8vXOX4mY2lmzl61/2Lv81DZ5du467vvnDpOrlx+SoA62RwcAKjXIMOc6FJ6I8uoT+6hL5oEvozSpcGB6cwyC8LzIYmoT+6hP7oEvqiSejPIF16QxIAAAAAGJSZgxMYZZopzIUmoT+6hP7oEvqiSejPKF2aOQgAAAAAgzJzcK9ako1BhpJhDjQJ/dEl9EeX0BdNQn8G6tLMwSm0ffgAHjtNQn/W0GVV/XRV3VRV/6uq/lNVnZj2h4KZW8OxUpewgHNY6M8g57BmDgIAB05VPT3JTyZ5fmvtgar6QJJrk7xnrTsGA9Mlk2lJnV38CrsdWT4P5vRlj1u4/MHLji7dxmW/d//SdQB2a13HSoODExjlBpUwF5qE/qypyyNJLqiqh5NcmOQra9kL6JQuoS/OYaE/oxwrXVYMABw4rbUvJ/lXSf4oye1J7mmtfXi9ewVj0yUALLauY6XBwSm0Nv0H8NhpEvqzP11eVlUnt3288ZFvV1VPTHJNkmcleVqSx1XV31rPDw+dWmGTiS5hKeew0J9BzmFdVgwAzNVdrbUrz7PsxUm+1Fq7M0mq6teTvCjJf1zVzsGAFjWZ6BIAkg7PYc0cnEC16T+Wfs+ql1fVzVV1S1Vdd47lP1NVn6+q36+q/15Vz9iPnx16tI4mE13CImvo8o+S/MWqurCqKsnVSb6w3z8nzMkajpW6hAWcw0J/RjmHNTi4V22fPhaoqsNJ3p7kB5M8P8lrq+r5O1b7n0mubK19V5Lrk/yLPf2cMBdraDLRJSy0hi5ba5/MZmefSfK5bJ7zvGPKHwtmbQ3HSl3CAs5hoT8DncMaHJynq5Lc0lq7tbV2Osn7snlN+je11j7WWrt/6+HvJrl8xfsIo9EldKa19k9aa9/ZWntBa+11rbWH1r1PMDpdQnecw0Jn1nGsdM/BPaoktfobvT49yW3bHp9K8r0L1n9Dkt/c1z2CTqypyUSXcF5r7BI4D11CX5zDQn9GOlbuenBwa7rxySRfbq29qqqelc2/KlyazemOr9v6S8Pavexp37N0nQ995bMLl1/1svsXLl+By6rq5LbH72itPTKVtM6x/jl/Y7fe1ebKJH9l4v1jzebU5OUfuWfpOqdecsnyDZ1cvso+WtRkoks6M6fnCNgvOoD+TNJlSw6f3li4ytnHn1i+LxuLX/Rf9AffWLqNb3zHhUvXWTPnsCzleMmjuaz4zfnWmyC+Lckvttaem+TubP4FYUwb+/Cx9e412z62P4GfSnLFtseXJ/nKzt2qqhcn+fkkr3bJxoGkyfNZfZOJLulPX88R+9MlLNNXB73RJOuhy/NxDsv66PJ8BjmH3dXgYFVdnuSVSd619biS/EA2b5KYJO9N8kP7sYNzUK1N/rHEp5I8t6qeVVXHklyb5IZv2aeqFyb599l88v7qvvzgrI0mF1tDk4ku6UiPzxFr6pKB9dhBbzTJqulyMeewrIMuFxvlHHa3Mwf/TZJ/mP83xvmkJH/aWjuz9fhUNu9VwAps/bu/KcmHsjm6/4HW2k1V9daqevXWav8yyUVJ/nNVfbaqbjjP5pgnTXZGl3TGcwToAHqky844hyW6JLu452BVvSrJV1trn66q73/ky+dY9Xz3JXhjkjcmyYl0fz+GR2+XbxE/+bdt7YNJPrjja2/Z9vmLV75TrMSkTR7bxX3+5mZNTSa6pA+TPkccvmianVpjl4xprx1sbcM5LExoyuPT8RNP2Jd9XCvnsKyB8Z4lBjpW7uYNSb4vyaur6hVJTiS5OJsjy0+oqiNbo8nnvC9Bkmzd0+AdSXJxXTrIPyvsq+mafNzTNAkHz2TPEZcce7LnCOZqTx0kzmFhH0x2fHr8xZdrEqZhvIcku7isuLX2s621y1trz8zm/QdubK39SJKPJXnN1mqvT/Ib+7aXXWtJ24cPOA9NLqNJxtbnc4QuWa0+O+iNJlktXS7jWMnq6XKZcbp8NO9WvNM/SvIzVXVLNq9Jf/c0uzQ/1ab/gMdAk1s0Cee01ucIXdIJx8ptNEkndLnFsZKO6HLLKF3u5rLib2qt/XaS3976/NYkV02/S8BuaRJYxHME6AB6pEvojy7H9qgGBzmPTqeFwrA0CZN46LLj+dKPPfv8y995fPcb0yVM4shTn7Jwed35KE7vdclcHUrOnlh8EdzRrz24dDPtcUcXLj9z0bGl2zj80IQdaRL6M0iXe7msGAAAAACYMTMH96oltbHunQC+SZPQH11Cf3QJfdEk9GegLs0cBAAAAIBBmTk4hUGuQYfZ0CT0R5fQH11CXzQJ/RmkS4ODUxjjdwXmQ5PQH11Cf3QJfdEk9GeQLl1WDAAAAACDMnNwAjXINFOYC01Cf3QJ/dEl9EWT0J9RujQ4CAAAM3Hm9jsWLm/tzIr2BNZoIzn00OK3EG3HDy/fzLHF6xz5+uml23joiRcuXQegdwYHpzDISDLMhiahP7qE/ugS+qJJ6M8gXRoc3KuWZPEfrYBV0iT0R5fQH11CXzQJ/RmoS29IAgAAAACDMnNwjyptmBtUwhxoEvqjS+iPLqEvmoT+jNSlmYMAAAAAMCgzB6cwyEgyzIYmoT+6hP7oEvqiSejPIF0aHJzCIL8sMBuahP7oEvqjS+iLJqE/g3TpsmIAAAAAGJSZg3s10FtbwyxoEiZz/OLTefbVXzrv8tvff3p3G9Il9EeXzFwt+f09e2L5S922ZKpMPbw8kmX7sWuahP4M1KWZgwAAAAAwKDMHJzDKW1vDXGgS+qNL6I8uoS+ahP6M0qWZgwAAAAAwKDMHpzDISDLMhiahP7qE/ugS+qJJ6M8gXRoc3LM2zC8LzIMmoT+6hP7oEvqiSejPOF26rBgAAAAABmXm4F61DDOSDLOgSeiPLqE/uoS+aBL6M1CXZg4CAAAAwKDMHJzCxrp3APgWmoRJbNx+NPf/86cvXL77jU2wQ8C0dMlcVdKO1MJVDj2w/Bd86UyZIyueS6NJ6M8gXRocnEANMs0U5kKT0B9dQn90CX3RJPRnlC5dVgwAAAAAgzJzcAqDjCTDbGgS+qNL6I8uoS+ahP4M0qWZgwAAAAAwKDMH96ol2RhjJBlmQZPQH11Cf3QJfdEk9GegLg0O7lkbZpopzIMmoT+6hP7oEvqiSejPOF26rBgAAAAABmXm4BQGGUmG2dAkTOJ5z7wrN77nXeddftXL7tr9xnQJkzjy1KcsXF53PorTe10yV5VsHKmFqxy/54Glm9k4cXTh8tOXHFu6jXZ46Sq7p0lYatlxMEnO3H7HdN9wkC7NHAQAAACAQZk5OIVBRpJhNjQJ/dEl9EeX0BdNQn8G6dLMQQAAAAAYlJmDezXQW1vDLGgS+qNL6I8uoS+ahP4M1KXBwT1rSdtY904A36RJ6I8uoT+6hL5oEvozTpcuKwYAAACAQZk5OIVBblAJs6FJ6I8uoT+6hL5oEvozSJdmDgIAAADAoMwc3KuBblAJs6BJmMwXv3hpfvAVf3PB8nfubkNr7LKqnpDkXUlesLUnf6e19om17AxM4Mztdyxc3tqZ3W1oTV1qkkm0pM7u/fe3Hl58L7HDDy2/19hDj59ovo1zWNiVZcfBSQ10rDQ4OIVBppnCbGgS+rO+Lv9tkt9qrb2mqo4luXBdOwLdWU+XmoTzcQ4L/RnkWGlwEAA4kKrq4iR/OcmPJklr7XSS0+vcJxiZJgFgsXUdKw0OTsFfeKAvmoT+rKfLZye5M8l/qKrvTvLpJG9urX1jHTsD3Vl9l5qERZzDQn8GOVZ6QxIAYK4uq6qT2z7euGP5kSR/Psm/a629MMk3kly38r2EcWgSAJZbdLxcy7HSzME9a/7CA13RJPRn37q8q7V25YLlp5Kcaq19cuvx9TEQAVv2pUtNwmPmHBb6s5Zz2LUcKw0O7lVLsrH8XayAFdEk9GdNXbbW7qiq26rqea21m5NcneTzK98R6NEautQkLOAcFvoz0LHS4CAAcJD9RJJf23qnt1uT/O017w+MTpMAsNjKj5UGB6dg+jf0RZPQnzV12Vr7bJJFlznCuNbQpSZhAeew0J9BjpUGBwGAc7r02ffmte/78HmX/5+/fu8K9wZIkodfuvi1QvvEJ1a0J7BGLamzi1+wb1x4bPlmDtXC5UfufmD5vtSJ5esAdM7g4BT8hQf6oknojy6hP7qEvmgS+jNIl4fWvQMAAAAAwHqYObhnLdkYYyQZ5kGT0B9dQn90CX3RJPRnnC4NDu5VS1rzlvPQDU1Cf3QJ/dEl9EWT0J+BunRZMQAAAAAMyszBKQwyzRRmQ5PQH11Cf3QJfdEk9GeQLs0cBAAAAIBBmTk4hUHe2hpmQ5PQH11Cf3QJfdEk9GeQLg0O7lVrycYYN6iEWdAkTOaBjWP53P1XLFh+8+42pEuYzNEPn1y4vNr9u9uQLpmxSnLo7OIX7O3w8ovkHn780cXf58zyRi74k7NL19kVTUJ/BurSZcUAAAAAMCgzB6cwyDRTmA1NQn90Cf3RJfRFk9CfQbo0cxAAAAAABmXm4ATaINegw1xoEvqjS+iPLqEvmoT+jNKlwcE9a8NMM4V50CT0R5fQH11CXzQJ/RmnS5cVAwAAAMCgzBzcq5ZkY4yRZJgFTUJ/dAn90SX0RZPQn4G6NDgIAJzTA7ccyedf+e3nX36n0wgAVq8l2Thci1c6tvwiucMPnd3zvtTeNwGwds7qp9DGuEElzIYmoT+6hP7oEvqiSejPIF265yAAAAAADMrMwT1qSdog16DDHGgS+qNL6I8uoS+ahP6M1KXBwb1qbZhppjALmoT+6BL6o0voiyahPwN16bLimaqql1fVzVV1S1Vdd47lx6vq/VvLP1lVz1z9XsJYdAkAwNw4hwXMHJzAqqeZVtXhJG9P8pIkp5J8qqpuaK19fttqb0hyd2vtOVV1bZK3Jfnhle4orMk6pn7rEhYb5ZIMmBNdQl+cw0J/RjlWmjk4T1cluaW1dmtr7XSS9yW5Zsc61yR579bn1ye5uqpqhfsIo9ElAABz4xwWMHNwEqu/Bv3pSW7b9vhUku893zqttTNVdU+SJyW5ayV7COu0nvtC6BIWGeR+LTAruoS+OIeF/gxyrFzp4OB9ufuuj7br/3Dbly7L/jyhLN3u4acu3cYzdvON7svdH/pou/6y3e3Wo3Kiqk5ue/yO1to7tj4/119pds513c06DO6++2+/6yMn/+kf7vjyfnS5fJsnFy59xNIu19RkoksOoHsfvvPrv/WVX7p525d2tvy83WxnH7v0ooSV6OkcdhfWeQ6rSVbi6/d9+a7f+cjPzqXJxDksA3CsfFS6O16udHCwtfZt2x9X1cnW2pVTf5/92u65tNZevorvs8OpJFdse3x5kq+cZ51TVXUkySVJvraa3WMudjaZ7E8/AzSZ6JKD6ebt7e5seceLjfNaY5cwCeew0BdNTso5LJPQ5by55+A8fSrJc6vqWVV1LMm1SW7Ysc4NSV6/9flrktzYWvPXHdg/ugQAYG6cwwLuOThHW/d5eFOSDyU5nORXWms3VdVbk5xsrd2Q5N1JfrWqbsnmX3WuXd8ew8GnSwAA5sY5LJCsf3DwHctX6Wq73WitfTDJB3d87S3bPn8wyd9Y9X5xIOxHPwe+yUSXHEg72132GEbhHBb6osk9cA7LPtHljJTZwAAAAAAwJvccBAAAAIBBrWRwsKpeXlU3V9UtVXXdOZYfr6r3by3/ZFU9cxfbvKKqPlZVX6iqm6rqzedY5/ur6p6q+uzWx1vOtS0Y0dRdahLmr6ouraqPVNWXq+obVXVrVV238/miqs5W1d1V9dDW//6DqrpzW9s/tu6fBabgWAl98boS+qPLg2Hf7zlYVYeTvD3JS7L5FuifqqobWmuf37baG5Lc3Vp7TlVdm+RtSX54yabPJPn7rbXPVNXjk3y6qj6yY7tJ8j9aa6+a5qeBg2GfutQkzN91SW5M8uxsPkdUktcm+XtJvj9bzxfZ7P39rbUf33p++Omtx29ax07DfnCshL54XQn90eXBsYqZg1cluaW1dmtr7XSS9yW5Zsc61yR579bn1ye5uqpq0UZba7e31j6z9fl9Sb6Q5OmT7jkcXJN3qUk4EK5J8rkktyT5xSSvTvLxJA/ueL44km99fnj+GvYV9ptjJfTF60rojy4PiFUMDj49yW3bHp/K//8f9ZvrtNbOJLknyZN2+w22pqW+MMknz7H4L1XV71XVb1bVn939bsOBtq9dahJm69uTnEhyW2vt9iRPTvLw1scjTmXz/OGXq+p3k7wqyQNJXlNVv19V11fVFSveb9gPjpXQF68roT+6PCD2/bLibF6StNPOt0jezTrn3njVRUn+S5Kfaq3du2PxZ5I8o7X29ap6RZL/muS5u9kuHHD71qUmoW9V9dEkTznHop9/ZJWd/5dzrPunSV6Z5Fg2L0N+KMlVrbXbq+rHs/nX4R+YZo9hbRwroS9eV0J/dHlArGLm4Kkk22cQXJ7kK+dbp6qOJLkkydeWbbiqjmbzF+XXWmu/vnN5a+3e1trXtz7/YJKjVXXZY/kh4IDZly41Cf1rrb24tfaCc3z8RpI/zuYswCuq6qlJvprNPyQe3baJy5PcmeSK1tqtSX4nm88Pd2wtf2eSv7Cqnwf2kWMl9MXrSuiPLg+IVQwOfirJc6vqWVV1LMm1SW7Ysc4NSV6/9flrktzYWls4krx1jfq7k3yhtfavz7POUx65lr2qrsrmz/snj/kngYNj8i41CQfCDUm+K5t/df2pJP8tyYuSXLDt+eJHsnmi9vqtE7CXJvn0tueHV2fzvjAwd46V0BevK6E/ujwg9v2y4tbamap6U5IPJTmc5FdaazdV1VuTnGyt3ZDN/+i/97eLawAAAMRJREFUWlW3ZHME+dpdbPr7krwuyeeq6rNbX/u5JN+x9X1/OZu/eH+3qs5kcybEtct+CWEE+9SlJmH+fiHJB5IcT/IT2ZxJ+K4kj9wI+u5snuD91STPyea7z92W5H9X1U3ZfGe5ryX50VXvOEzNsRL64nUl9EeXB0f5twMAAACAMa3ismIAAAAAoEMGBwEAAABgUAYHAQAAAGBQBgcBAAAAYFAGBwEAAABgUAYHAQAAAGBQBgcBAAAAYFAGBwEAAABgUP8XJDpqoj1XiA4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1728x576 with 12 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_predictions_softmaxmultinomialfeatures(vae, adj, labels, features)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Train"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_epochs = 1000#5000\n",
    "\n",
    "# Training targets\n",
    "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(features[final_nodes], 1, n_ξ_samples),\n",
    "    ]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Fullbatch"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/sl/.conda/envs/base36/lib/python3.6/site-packages/tensorflow/python/ops/gradients_impl.py:100: 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:100: 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:100: 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:100: 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": "661c9ac457164822bc301ca28d8bfbce",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(IntProgress(value=0, description='Training', max=1000), HTML(value='')))"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "history = vae.fit_fullbatches(batcher_kws={'adj': adj, 'features': features, 'target_func': target_func},\n",
    "                              epochs=n_epochs,\n",
    "                              verbose=0, callbacks=[TQDMCallback(show_inner=False)])"
   ]
  },
  {
   "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": [
    "### Minibatch"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "#seeds_per_batch = int(np.ceil(n_nodes / 10))\n",
    "#max_walk_length = 5\n",
    "#p, q = 1, 1\n",
    "#neighbour_samples = None\n",
    "#steps_per_epoch = int(np.ceil(n_nodes / seeds_per_batch))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "#history = vae.fit_minibatches(batcher_kws={'adj': adj, 'features': features, 'target_func': target_func,\n",
    "#                                           'seeds_per_batch': seeds_per_batch,\n",
    "#                                           'max_walk_length': max_walk_length,\n",
    "#                                           'p': q, 'q': q,\n",
    "#                                           'neighbour_samples': neighbour_samples},\n",
    "#                                 steps_per_epoch=steps_per_epoch,\n",
    "#                                 epochs=n_epochs,\n",
    "#                                 verbose=0, callbacks=[TQDMCallback(show_inner=False)])"
   ]
  },
  {
   "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": [
    "## Training results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "initial scaled loss = 2.3836395740509033\n",
      "initial scaled q_mulogS_flat_loss = 0.0004755058139562607\n",
      "initial scaled p_adj_loss = 1.1065096289094485\n",
      "initial scaled p_v_loss = 1.0538936112631472\n"
     ]
    },
    {
     "data": {
      "image/png": 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rkx27iAxs1fVNvLJxN8dPHUZGvEfbcgBBQjg7I467s7OqgZEFWXz1/tf460ubuPq0g/n8Ow8hHnu7g09jcwsrt1Rw6JgCsjPiANQ2NPPS+jLuWVLMA69uwTs2AOogHjOaW5xn1+zk+x+YzaxxhW3vNUDMB35FUAnXmTLgWqDfV/ol4jG2ltfxiVsX89dPndjflxMRSQVd7W0yAdhtZvcBU4DHgOs6awFqZlcRVD8zadKkHgfwtfuX89iqHZw9YzRnzxzd899ARGSA2m+C2d2fofP+nl2Nv/JAAtqX8UNyGJaXydqSqv66hIjIgOPuC4GFHY59vd3jOoIq5c5e+yRwQn/GJyIDT0NTC00tLeRmdn6rV1HXyHt/+QwbSmu46JgJfPd9RwBQVt3A7S9soHhXDWtKqkjEYtQ1NnPs5GGcNWMUJx08gsxEjBfWlnLFLS9y6JgCinIy+PebOxmRn8nOqgYKsxP86ok1vLxxFwcNz2PqiDzqm5q59fkNlFTWMzQ3gzFFOTQ1t/Dmjrfv6Y6cOITcjDjjh+aQlxlnV00j8+aMA2BnVT3TRxdw5IQh3PLMOr6zcBUf+O1zHDamgAevPWWPRHaU3P3pffXtdPcdwA4zO7+/Y3nv7LHc/sIGXlxXRll1A8PyMvv7kiIiA11X+5YkgFOAo4CNwN3AlQRFHHsOdr8ZuBlg7ty5+/ladG/1YeVyPD4wPrdERPpKdyqYB5T8rATV9b1beikiIiIy0DQ0tbC7poG6xhbGDskmIx7j9W0VPPPmTj54zESKcjMAqGlo4pEV2znmoKFMHJbb5fuVVNZz+R8XsbGshr9dfSKzxhXtcd7d+X9/W0bxrlpOnDqce5YUc8+SYrISsbY/fM3AHSYNy2VjWQ2vb6vkzy9s4KhJQxiam8njrwetKd/aUUWzO/PmjOPFdWWcddgofnf5MXznwVU89NpWVmypoLw2aNFw/JRhXHPGNBYs20LMoLLOed9R4zl52gjGFmVz4sHDCTqz7dsnT5nCMZOHctPDbzBvzrgBk1zuawdaJWdmXH/eDC789bMc/a1H+e77juDgkXlMHJbLuCE5fR2uiEgq6GpvkwzgldYVf2Z2P0GBxl4J5gPV3BLkpDNiPV85JCIykKVcgjkvK0FV/V4rVURERERSzpodVVz6vy+09RTOyYiTlxVnZ1UDAN9+cBXTR+UTjxnrdlZT39TCuKJsHvrsqW2JZwhaTTy6ajsvrSvjzy9sICNuNDY7X/zrMn77kWP49RNrqKxr5LvvO4KvL1jBwyu289XzZnDlOybz40dWs25nFbtrGimvbeQnF89hwrAcymsamTgsF3dnxZYKbn1uPS+sK+WVjbs5Z9YYvnr+jLbzHRPDN14wixsvmEVzi/PPV7dQlJPBKdNHEo8ZV5w0+YD+zcyMoycN5Y7/SO/FGQdaJQcwe3wRH5o7kbsXb+L6vy9vO37HJ4/npGkj+iZQEZHUsQC4xszuAo4Hyt19q5ntAIaa2Uh3LwHOBBb3RwBNzcF0nlAFs4ikmZRLMOdnxVXBLCIiIinvlY27+OgtL5KIGV961yHkZiZ4c0cV5bUNzBxbSCxmPP9WKWbG0o27mDWukPNnj+N7C1dx4vf/1dZ+YtXWCtburAYgMxFjTGE2v7j0KGoamvjMHa9wxk1Ptl3z4RXbAfjsWdP55ClTMDOuO/ewTuMrzA4S2GbG4eOL+NEHj8TdKatuYHh+Vtu4fVUdx2PGvDnjD/SfSnopFjN+cNFsJg7L4aZHVrcd//AfFrH++/3epUNEJKnM7E7gdGCEmRUDNxBUJ7fuHbUQOA9YA9QAHwvPNYcbr/7Lgg+1JcD/9keMjS3BSqEMJZhFJM2kXII5LytBWXVD1GGIiIjIIOTuLCsu5+CReRRkZ+xxrrSqnobmFmoamvnq35ezZXcd377wcPKyErg7owuz2VRWw9qd1ZRU1jP/ufXkZsa59z9PYsLQzlte/Nfp04BgSW3MgmTujDEF/P2Vzfxj6Ra2ltcybWQ+M8cVcuohIzn38DF7xHX7J4/nlmfXceGc8YwuzOb+pZuZMiKPS4/recsFCK7fPrksqeHq0w5m8YZdPPlGSdShiIj0G3e/dD/nHfh0F+ceBWb3R1zttbbIEBFJNymZYN5YWhN1GCIiIpKmtpbXsnJLBVNG5JGbmSAnI85PH1tNXlacpZt28+yaUg4bU8Alx07kH8u28Ob2Ks47YgwLl2+jpqEJJ9gzIjczzkdvebHL60wensuvLzu6y+Rye+37DJ80bQQnTRvB/3v3oRTmZJCdEe/ydUdOHMLPLzmq7fnMcYXd+0eQXtlf9ZyZjSFYdl0ItJjZ54CZ7l7Rn3El4jHmf+w46hqbOevHT7F5dy33LinmA8dM6M/LiohIB41hi4zmlogDERHpYymXYC7ISlClFhkiIiLSx15cV8b859bx+Os7qGvs/C+/rESMU6aP4Lm3SrnxgZVMHJbDzLGF/HVxMQXZCcYW5bCzqp75HzuWUQXZ3LhgBTPHFbJldx3ltY2876jx5GTGWLmlgguPGt+t5HJXRhVm9/q10j+6UT23jWBTqUhkZ8R55POn8p5fPsOfnlvH+48e362NFUVEpG80hZllVTKLSLpJuQRzXlZCPZhFRETkgLg7a3dWs7umkar6Jh5YtoV7Xy5meF4W7ztqPGceNpo1O6rITMQoq65nwtBczj18DDmZcbIScbaV11Hb2Mzk4bmYGZt31zIsN5PMRIzqhqa2/sV/vPLYTq9/5mGjk/nrirTJy0rw/qPG8+NHV7N6exWHjimIOiQRkUGjKUwst7gSzCKSXlIzwdzQTEuLE4up4kJERESgoamF1dsrGV2YzSdufYm6xmYuO/4glm7azQVHjuOMw0a1jW1ucT4+/yWeWv12P1oz+Pg7pvDFcLM9gHfO7DoJPKZoz+rh8UNy2h4XdujNLDLQzJ08DED7moiIJFkizGGogllE0k3KJZjzs4I+g9UNTXttriMiIiKDR1l1A9X1TYwsyOLj81/iubdK284VZie4YcEKAB5YtoVPnTaVx1buIC8rTkY8xqJ1ZVx16lROmDqMwuwMxg7J2SNJLJLOCrKDPwGu//tynvjS6dEGIyIyiPzwotm87zfPKcEsImkn5RLMeVlByNX1zUowi4iIDEIvrC1lY2kNP3z4dXZWNTCqIIuSqnreOXM0I/Iz+cgJBzF1RD7/WLqZw8cX8bm7l/LrJ95iZEEW1Q0xinfVcu2Z0/j8Ow9R/1kZlIpygnvodTurI45ERGRwiauCWUTSVMolmIfkZAJQWl2/1/JUERERSX2NzS1kxGOs21nN2KJssjPibef+9Ow6vvHASiDY+PcDR09gfWk137hgFuceMXaP97nkuEkA3H3VCSzdtJtTpo8kMxFre3+Rwaq1gllERJIrFn6x3awezCKSZlLu7nLSsGC39U1lNcwaVxRxNCIiItJXVm2t4OLfP09lXRNHTRrCKxt3c9iYAj59xjQWLt9KXWMzi9aVcfK0EVx50mRmTyxiVMH+v2wenp/FWTPe7qes5LIMdq0VzABNzS0k9P8TIiJJ0VrB3KIKZhFJMyl3N9maYC7eVRtxJCIiItJXWlqc7zy4isq6JiYMzWHF5gqOmzKMLbtr+cydr/DkGyU8ubqEg0fm84OLZnP2zNHdSi6LyN7MjJ9cfCQAa0qqIo5GRGTwaGuRoQpmEUkzKVfBXJiTIDMeo6SyPupQREREpA/c/8pm/vTcepZt2s03583i8hMOwh1iMWPz7lqefXMn5xwxhoxYjKxEjFhMfZNFDtTMcYUAvLm9isPGFEYcjYjI4KAezCKSrlIuwWxmjAw38xEREZHUdseijVz/9+XkZsb5yAmTuPyEgzAzWvfeGz8kh4uPnRhtkCJpqLVNRlV9U8SRiIgMHnFTgllE0lPKJZgBhudnUlrVEHUYIiIi0gstLc4Vf3qRF9aW0tjsvGPacOZ/7Dj1RhZJorys4M+AqjolmEVEkkUVzCKSrlIywVyYnUFFXWPUYYiIiKS8irpGGppaGJGf1e/Xqq5v4n/uf401JVW8WlzOuKJshuRm8q15hyu5LJJkeZlhglkVzCIiSdPa5qtFPZhFJM2kZIK5IDvBtoq6qMMQERFJae7OZf+7iLUlVTzxpdMZVdh3m+a1tPhevZJvWLCC+17ZDMD5R4zlF5ce1VbJIyLJFY8ZeZlxJZhFRJLo7RYZEQciItLHUjbBXKkKZhERkQPy/FulLN9cDsDC5Vu58h1TDvg915ZU8e0HV/HU6hLmHTmOs2eOZs2OKkqr6rlnSTEXz53Ax0+eok3FRAaAvKyEWmSIiCTR2y0ylGEWkfSSognmDCp1MywiInJAXlq/CzMYlpvJM2tKDyjBXN/UzP/726ssWLaFzHiM98wey4JlW9oqlgHGFWXz3+cclpR2HCKyf/nZCaoadE8tIpIs6sEsIukqJRPMw/IyqWloprq+qW2DEhEREemZ5Zt3M21kPnMnD+Ofy7bQ3OK9alnx5vZKLv/ji2yrqOOqU6dy0TETOGR0AZ85czpbdtcyZ9IQvCVYgdSxbYaIRKdAFcwiIknV1iJD+WURSTMpuaPO9FH5ALy+rTLiSERERFKTu7OsuJwjJhRxwtRhVNY3sXJLRY/f56nVJVx9+xIq6xr53UeO5vrzZnDI6AIApo3K59RDRlKYnUFRboaSyyIDTF5WQj2YRUSSKBZmYFpUwSwiaSYlE8xTRuQBULyrJuJIRET6n5mdY2ZvmNkaM7uuk/NZZnZ3eH6RmU1ud262mT1vZivMbLmZ9d0ubpLStlfUU1JZzxHjizhh6nAAFq0rBeAfSzdz89Nv7Xf55iMrtnHFLS9SXd/Mbz5yDOccPrbf4xaRvuMOSzbsokm7TYmIJEVbiwxXgllE0ktK9pcYVRDkR9bsqIo4EhGR/mVmceDXwDuBYuAlM1vg7ivbDfsEsMvdp5nZJcAPgA+ZWQK4Hbjc3ZeZ2XBAO6QKAK8W7wZg9oQiRhdmM2VEHk+tLuHw8UV89q6lABRmZ3DJcZP2eF1jcwtfuW85a0uqeG1LBTPGFvL3/zqJ7Ix40n8HETkwz68NvlR6cV0ZJ00bEXE0IiLpTz2YRSRdpWQFc2FOkBf/5eNrIo5ERKTfHQescfe17t4A3AXM6zBmHnBr+Pge4CwzM+BdwKvuvgzA3UvdvTlJccsA9/LG3SRixsyxRQB84Ojx/PvNnVxy8wscNDyXw8YU8NPHVlPbsOf/ZOY/u557lhTz8sbd5GTE+f1HjlFyWSRFfeGdhwBQXqvvHkUk9ZnZLWa2w8xe6+K8mdkvwlV/r5rZ0R3OF5rZZjP7VX/F2NaDWQlmEUkzKVnBbKYejiIyaIwHNrV7Xgwc39UYd28ys3JgOHAI4Gb2MDASuMvdf9jxAmZ2FXAVwKRJkzqeljT1/NpS5kwcQk5mkBz+j1OnUlrdwKayWm5470y2ltdx8e+f58ePvMGJBw/nwVe34sCCZVs467BRXHfuYeRlJRg3JCfaX0RkADGzW4D3ADvc/fBOzhvwc+A8oAa40t1fTm6Ub7v0uEn85NHV7KisjyoEEZG+NB/4FXBbF+fPBaaHP8cDv2XP++pvAU/1Y3yqYBaRtJWSCWaAa8+azi8ff5OWFtemQSKSzjqb4DrekXY1JgGcDBxLkMj4l5ktcfd/7THQ/WbgZoC5c+fqbncQqKhrZHnxbq45Y1rbsaxEnBveO6vt+cRhuVw4Zxx/eGYdf3hmHUU5GTQ1t3Dx3Alcd+4MinIyoghdZKCbz4ElN5JqWF4mAGXVDVGFICLSZ9z96fZ7kXRiHnCbuzvwgpkNMbOx7r7VzI4BRgP/B8ztrxjNDDNoUQ9mEUkzKZtgLsrJwB0q65ooytUfuSKStoqBie2eTwC2dDGmOOy7XASUhcefcvedAGa2EDga+BcyqD29uoQWhxMP3nfP1R9fPId5R42nsamF0w4dSVZCrTBE9uVAkhtJCbCDeMzIy4xTVd8UxeVFRJKts5WB481sO/Bj4HLgrP4OIhEzVTCLSNpJyR7MAEPCyqldNaq4EJG09hIw3cymmFkmcAmwoMOYBcAV4eOLgMfD5MXDwGwzyw0Tz6cBK5FB784XNzJV7ogrAAAgAElEQVR+SA7HTh66z3HxmHHGoaN416wxSi6L9I1OkxsRxQJAfnaCyjr1YBaRQaGrVX//BSx0902dnN/zDcyuMrPFZra4pKSkV0HETAlmEUk/KZtgHlmQBaCecSKS1ty9CbiGIFm8Cviru68ws2+a2QXhsD8Cw81sDfAF4LrwtbuAnxAkqZcCL7v7g8n+HWRg2Vhaw3NvlXLRMRNIxFP2NkAkVXWn7VEwsA+SGN1RkJ2hCmYRGSy6Whl4InCNma0HbgI+ambf7+wN3P1md5/r7nNHjhzZqyDiqmAWkTSUsi0yxhRlA7Ctoi7iSERE+pe7LwQWdjj29XaP64APdvHa24Hb+zVASSk/euQNMuMxLj1OGzqKRKA7bY+A5PXHz89KUFmnBLOIDAoLCBLJdxH0vy8PWxRd1jrAzK4E5rr7df0VRNyMZvVgFpE0k7IJ5tGFQYJ5e7kSzCIiIt3x8IptPLBsC9eeOa3ti1oRSaqukhuRGZqboRWBIpIWzOxO4HRghJkVAzcAGQDu/juCgo3zgDUEG2B/LIo4YzGjRRXMIpJmUjbBXJidIDczrgpmERGRbliyYRefv3spsycU8ekzp0UdjkhaSpXkRntjh+SwrLg86jBERA6Yu1+6n/MOfHo/Y+YD8/suqr0lYqpgFpH0k7IJZjNjTGE221TBLCIi0qUX15Xx0voy7nxxI8PzM/nDR+dqwz6RftIXyY1kG1eUTVl1A3WNzWRnaG4QEelvMfVgFpE0lLIJZgjaZCwr3h11GCIiIgPS/722jatvXwJAUU4Gf7hiLqMK1RpDRN5WlJMBQGVdkxLMIiJJEDclmEUk/aR0gnljWQ2bd9fy0PKtnHvE2KjDERERiVxzi/Pyxl1ce+crbC2v48gJRdx4wSwOGp7HsLzMqMMTkQEmNzP4c6C6vomRBVkRRyMikv7iMaO5JeooRET61n4TzGY2EbgNGAO0ADe7+887jLkM+HL4tAr4T3df1sexdhJb8N+lxbuVYBYRkUFvR2UdH/jtc2wqq2VEfiZfetchXHb8QQxVYllEupCXFSaYG5oijkREZHCIxaBFPZhFJM10p4K5Cfiiu79sZgXAEjN71N1XthuzDjjN3XeZ2bnAzQQ7Y/erO//jBE754RNU1OqGWERE5DsPrmJ7RT03vHcm5x8xVu0wRGS/8lsTzPXNEUciIjI4JGIxtcgQkbSz3wSzu28FtoaPK81sFTAeWNluzHPtXvICMKGP4+zUxGG5nDNrDE++sSMZlxMRERmQ3J2v3LecfyzdwrVnTedj75gSdUgikiLysoK+y9X1KtgQEUmGmEFDk3pkiEh6ifVksJlNBo4CFu1j2CeAh7p4/VVmttjMFpeUlPTk0l2aOa6QreV11DWq6kJERAanh1ds466XNnHlSZP57FnTow5HRFJIQXZQb1JR1xhxJCIig8NbJdX834ptNKkRs4ikkW4nmM0sH7gX+Jy7V3Qx5gyCBPOXOzvv7je7+1x3nzty5MjexLuXScNyASjeVdsn7yciIpJK6pua+f5Dr3PI6Hy+dv4M4jGLOiQRSSGtrXR2VNRHHImIyOBSUaeVIyKSPrqVYDazDILk8l/c/b4uxswG/gDMc/fSvgtx3yaGCeZNZTXJuqSIiMiA8eNHVrO+tIavnj+TRLxHC5NERCjISpCXGWdLuYo1RESSaVdNQ9QhiIj0mf3+JWpmBvwRWOXuP+lizCTgPuByd1/dtyHuW2sF8+rtlcm8rIiISOT+sXQzNz+9lstPOIjTDumblUEiMriYGcPzsyirVqJDRCSZdteoNZGIpI/ulDq9A7gcONPMloY/55nZ1WZ2dTjm68Bw4Dfh+cX9FXBHI/IzAfjeQ6+rUb6IiAwatQ3NfG/h68yeUMSNF8yKOhwRSWF5WQlqGrSfiYhIMpXX6os9EUkfif0NcPdngH02dHT3TwKf7KugeiIosA4U76ph6sj8KMIQERFJqh8+/DrbKur45YePUt9lETkguZlxahrUC1REJBmuPXMav3h8DQ1NHnUoIiJ9Ji2aNf7t6hMB2KA+zCIiMgg8t2Ynf3p2PR898SCOnTws6nBEJMXlZsaprlcFs4hIMpw/exwALa4Es4ikj7RIMB8U9mHeWKoEs4iIpLfq+ia+fN+rTB6ey1fOnRF1OCKSBvIyE6pgFhFJktY9mZtalGAWkfSx3xYZqWBkQRY5GXGWFe+OOhQREZF+8eK6Mn722GpKqxoo3lXL3VedSE5mPOqwRCQN5GapgllEJFnisSDD3KIEs4ikkbRIMJsZZ84YxeOv74g6FBERkT61q7qBXz+xhvnPrWd4fiYxMz531iEcN0WtMUSkb6iCWUQkeeLhPlKqYBaRdJIWCWaA2eOLePDVrZTXNlKUkxF1OCIiIgfkze2V3LOkmD89u56G5hYunjuB68+bwZDczKhDE5E0k5sVp7pBFcwiIskQjwcJZlUwi0g6SZsE85QReQCs3l6pDY9ERCSlLVpbyof/sIjmFmfenHFcdepUZo0rijosEUlTeZkJGppaaGxuISOeFlu0iIgMWKpgFpF0lDYJ5rlhUvmVjbuUYBYRkZTl7tz4wErGFmUz/2PHMm1UQdQhiUiayw37udc0NFOUowSziEh/iseCBHNzS0vEkYiI9J20uYMcmptBRtzYVdMYdSgiIiK99vLGXazaWsGnz5im5LKIJEVeVlBzoj7MIiL97+0EsyqYRSR9pE2C2cxobHZ+++RbmqhFJK2Y2Tlm9oaZrTGz6zo5n2Vmd4fnF5nZ5PD4ZDOrNbOl4c/vkh279NzfX9lMdkaM9x45LupQRGSQaF/BLCIi/as1wawWGSKSTtImwdzerpqGqEMQEekTZhYHfg2cC8wELjWzmR2GfQLY5e7TgJ8CP2h37i13nxP+XJ2UoKXXGptbePDVrZw9YzT5WWnTxUpkUOnGl4IHmdm/zOxVM3vSzCZEEWd7eZlhBXO9EswikrrM7BYz22Fmr3Vx3szsF+H8/KqZHR0en2Nmz5vZivD4h/ozzkSYYG5xJZhFJH2kZ4K5WglmEUkbxwFr3H2tuzcAdwHzOoyZB9waPr4HOMss3D1EUsoza3ayq6aRC1S9LJKSuvml4E3Abe4+G/gm8L3kRrm33KyggrlaLTJEJLXNB87Zx/lzgenhz1XAb8PjNcBH3X1W+PqfmdmQ/gpSFcwiko7SKsH8rQsPB6BUCWYRSR/jgU3tnheHxzod4+5NQDkwPDw3xcxeMbOnzOyUzi5gZleZ2WIzW1xSUtK30UuP/HPZVgqzE5x26MioQxGR3unOl4IzgX+Fj5/o5HzStVUwK8EsIinM3Z8GyvYxZB7BF3zu7i8AQ8xsrLuvdvc3w/fYAuwA+u1mrDXB3KIEs4ikkbRKMB8/ZRgA2yvqIo5ERKTPdFaJ3PFutKsxW4FJ7n4U8AXgDjMr3Gug+83uPtfd544cqcRmVNydZ9aUcNqho8hKxKMOR0R6pztfCi4DPhA+fh9QYGbDO4xJ6pd/rT2Yq9UiQ0TS237naDM7DsgE3ursDfpibo6bKphFJP2kVYJ58vA8EjHjjW2VUYciItJXioGJ7Z5PALZ0NcbMEkARUObu9e5eCuDuSwhulA/p94ilVzaU1rC9or7ty1IRSUnd+VLwS8BpZvYKcBqwGdirdDiZX/7lhj3fVaQhImlun3O0mY0F/gx8zN1bOnuDvpibY2EF888ee5OnVmv1oIikh7RKMGcmYowdks22ct0ci0jaeAmYbmZTzCwTuARY0GHMAuCK8PFFwOPu7mY2MuwHiplNJeg3tzZJcUsPLVpXCsAJU5VgFklh+/1S0N23uPv7w9UlXw2PlScvxL3lhRXM335wVZRhiIj0ty7n6HCV34PA18L2GUnxpb8tS9alRET6VVolmAEKsjKoqGuMOgwRkT4R9lS+BngYWAX81d1XmNk3zeyCcNgfgeFmtoagFcZ14fFTgVfNbBnB5n9Xu/u++tJJhBatLWNEfiYHj8yPOhQR6b39filoZiPMrPUe/CvALUmOcS95YQWziEiaWwB81AInAOXuvjWcr/9O0J/5b8kMSLtyi0i6SLu7yYLsBBV12qBERNKHuy8EFnY49vV2j+uAD3byunuBe/s9QOkTi9aVcdyUYZjpTw2RVOXuTWbW+qVgHLil9UtBYLG7LwBOB75nZg48DXw6soBDGfEYU0fk0eLqByoiqcvM7iSYY0eYWTFwA5AB4O6/I7ifPg9YA9QAHwtfejFBYcZwM7syPHaluy/t/5j7+woiIsmRdgnmwpwMNpXVRB2GiIhIt20qq2Hz7lr+45QpUYciIgeoG18K3kOwqmRAmTW+iNc2R9qpQ0TkgLj7pfs573TypZ673w7c3l9x7YuphllE0kT6tcjITlCpCmYREUkhL6wN+i8fP3V4xJGIyGCVGY/R0NTpnlYiItJPVMEsIuki7RLMhdnqwSwiIqnlyTdKGFmQxaGjC6IORUQGqcxEjIZmJZhFRJJJ+WURSRdpmGBOUFXfREuLesiJiMjA19DUwlOrSzh7xihiMf2ZISLRyIybKphFRJLk+CnDALT3hoikjfRLMOdk4A5VDWqTISIiA9+idaVU1Tdx9ozRUYciIoOYmVFe28iOyrqoQxERSXsZ8SAV06iVIyKSJtIuwZwIq78WLN0ScSQiIiL799jK7WRnxHjHtBFRhyIig9jTb5YA8P2Fr0cciYhI+kvEg7xFbWNzxJGIiPSNtEswjy7MBuD2FzZEHImIiMi+uTuPrdrBydNGkp0RjzocERnE6hvDKjqt1hYR6XethXG1DUowi0h6SLsE8zmHjyEzEWPqyLyoQxEREdmnVVsr2by7lnfOHBV1KCIyyLUu086Mp92fByIiA86MsYUAFGQnIo5ERKRvpN0dpJlx7OShbCtX/zgRERnYHlu1HTM48zD1XxaRaH36jGkADM/PjDgSEZH099mzpgNwxIQhEUciItI30i7BDDA0N5PdNY1RhyEiIrJP/1q1nTkThzCyICvqUERkkLvipMkkYoapR4aISL9LxGMcP2UYtQ1NUYciItIn0jbBXFbTEHUYIiIiXdpeUcey4nLOnqHqZREZGLIz4tpwSkQkSUYVZrOjsj7qMERE+kSaJpgzKK9tpLnFow5FRESkU/9atQOAd85UgllEBgYlmEVEkmdsUTZby+twV95CRFJfWiaYRxdl4x5Uh4mIiAxEj63azqRhuUwflR91KCIiAORkxqhrUIJZRCQZhuZm0tDUQl1jS9ShiIgcsLRMME8ZkQfAup3VEUciIiKyt5qGJp5Zs5OzZ4zGTP1ORWRgyFEFs4hI0uRkBOmYOs27IpIG0jLBPKYwG4AS9TMSEZEB6N9v7qShqYWzZ46KOhQRkTZKMIuIJE92RhyAuibNuyKS+tIywVyYkwFARV1jxJGIiIjs7bGV2ynITnDs5GFRhyIi0iY7I06tWmSIiCRFa4JZ866IpIO0TDAXZCcAqKhVgllERAaWsuoGHnh1C+cePoaMeFp+DItIisrJjGuptohIkmS3tchQD2YRSX1p+ZdtViJOViJGZV1T1KGIiIjs4e6XNlHX2MInTp4adSgiIntQiwwRkeTJUosMEUkjaZlghqBNRrkqmEVEZABpaXHueHEDx08ZxqFjCqIOR0RkD0owi4gkT3YiSDBfddviiCMRETlw+00wm9lEM3vCzFaZ2Qoz+2wnY8zMfmFma8zsVTM7un/C7b5RBVns0CZ/IiIygPx7zU42ldVy2QkHRR2KiMhesjPVg1lEJFlaW2TsrGqIOBIRkQOX6MaYJuCL7v6ymRUAS8zsUXdf2W7MucD08Od44LfhfyMzpjCbLeV1UYYgIiKyh1ueWceI/CzePWt01KGIiOylICtBVb1azImIJEPrJn8A7o6ZRRiNiMiB2W8Fs7tvdfeXw8eVwCpgfIdh84DbPPACMMTMxvZ5tD0wqjCbkkolmEVEZGB4Y1slT60u4cqTDiIrEd//C0QkJZnZOWb2Rriy77pOzk8KVwe+Eq78Oy+KODtTmJNBXWML9eoHKiIpyMxuMbMdZvZaF+e7XHltZleY2ZvhzxXJiDenXYK5RqtHRCTF9agHs5lNBo4CFnU4NR7Y1O55MXsnoTGzq8xssZktLikp6VmkPVSYk6CiVhUYIpL6upGsyDKzu8Pzi8K5uv35SWZWZWZfSlbMsrefPbaa/KwEH1F7DJG0ZWZx4NcEq/tmApea2cwOw74G/NXdjwIuAX6T3Ci7VpgdLG7UPbSIpKj5wDn7ON9+5fVVBCuvMbNhwA0Eq7CPA24ws6H9Gil7VjC/uaOqvy8nItKvup1gNrN84F7gc+5e0fF0Jy/xvQ643+zuc9197siRI3sWaQ8VZmfQ0NxCnTYqEZEU1s1kxSeAXe4+Dfgp8IMO538KPNTfsUrnKusa+cp9y3notW184uQpDMnNjDokEek/xwFr3H2tuzcAdxGs9GvPgcLwcRGwJYnx7VNhTgYAFXXaKFtEUo+7Pw2U7WNIVyuv3w086u5l7r4LeJR9J6r7RGsPZoALf/1sf19ORKRfdSvBbGYZBMnlv7j7fZ0MKQYmtns+gYhvllsrMCrrVIEhIimtO8mKecCt4eN7gLMsbOJmZhcCa4EVSYpX2qmoa+RTf17CXxdv4sqTJvOfpx8cdUgi0r+6s6rvRuAjZlYMLAQ+09kbJXPlX6thecEXYDsqtFG2iKSlrubobq3Ihr6dm9tXMIuIpLr9JpjDJMUfgVXu/pMuhi0APhr2NDoBKHf3rX0YZ48VZKsCQ0TSQndueNvGuHsTUA4MN7M84MvAN5IQp3RQ39TMJ29dzIvryrjpg7O58YJZ+kNCJP11Z1XfpcB8d58AnAf82cz2uidP5sq/VoeMLgDgjW0dFyuKiKSFrubobq3Ihr6dm7MSe07931u46oDeT0QkSolujHkHcDmw3MyWhseuByYBuPvvCKovzgPWADXAx/o+1J4pzFEFs4ikhe7c8HY15hvAT929al+7UpvZVQR96Jg0aVIvwxSAZ9fs5L/veZXKukbqm1qob2rh55fMYd6cTotgRCT9dGdV3ycIl167+/Nmlg2MAHYkJcJ9GFWQBcCND6zk8hMnE491/dkhIpKCupqji4HTOxx/sr+D6Xh//vun1/KV82b092VFRPrFfhPM7v4MnScv2o9x4NN9FVRfaKtgrlUFs4iktO4kK1rHFJtZgqCnZxnBRiUXmdkPgSFAi5nVufuv2r/Y3W8GbgaYO3dup9Uasn/uztfuDzYtf//RE6hvaua4KcOUXBYZXF4CppvZFGAzwSZ+H+4wZiNwFjDfzGYA2UByemDsR/tkR2lVPaMKsyOMRkSkzy0ArjGzuwjuk8vdfauZPQx8t93Gfu8CvhJFgLc8s46PnzwlikuLiByQ7lQwp6TCMMGsCmYRSXHdSVYsAK4AngcuAh4Pv/g7pXWAmd0IVHVMLkvfeX5tKet2VvOTi4/k/UdPiDocEYmAuzeZ2TXAw0AcuMXdV5jZN4HF7r4A+CLwv2b2eYLVJleGc/aA8PX3zOSb/1xJVX0To6IORkSkB8zsToJK5BFhn/sbgAzY98prdy8zs28R3HcDfNPd97VZYJ85eGQeZdUN7KoJCuN+9PAbSjCLSEpK2wRzQdsmf6pgFpHU1c1kxR8JeniuIahcviS6iAevOxZtpCgng/OOGBt1KCISIXdfSJDEaH/s6+0eryRoQTcgTRyWC0BVvYo0RCS1uPul+znf5cprd78FuKU/4tqXf33xdO5dUswX/7YMgNrGZuoam7Vvh4iknP1u8peqWhPM2uRPRFKduy9090Pc/WB3/0547Othchl3r3P3D7r7NHc/zt3XdvIeN7r7TcmOfbAoq27g4RXbeP/R4/UHgYiktLysYA674FfPRhyJiMjg8O7Dx+zx/EM3vxBRJCIivZe2Cea8zAQxU4sMERHpf0+t3kFjs/P+o9QaQ0RSW0FWRtvjAdS5Q0QkbeVnJbj8hIPani/btDvCaEREeidtE8yxmJGflVCCWURE+t3zb5VSlJPBrHGFUYciInJACnPe7qBX3dAcYSQiIoPHl959aNQhiIgckLRNMAMUZGdQVt0QdRgiIpLmnl9byvFThhGLWdShiIgckDFF2W2Py2vVak5EJBmKcjK4cM64qMMQEem1tE4wb95dy4JlW2hoaok6FBERSVPrdlazqayWkw4eHnUoIiIHLCvxdh/5m596K8JIREQGl4vnTow6BBGRXkvrBHOrau2CLSIi/eSh17YC8M5ZY/YzUkQkNfzootkA3Pr8BtbsqIo4GhGRweGkaSO49LhJ5GbGaWlRD3wRSS1pnWC++rSDAahXBbOIiPSTh5Zv48iJQxg/JCfqUERE+sTJ00e0PV60rjTCSEREBpc5E4uoaWhm066aqEMREemRtE4wHzI6H4C6Rm1QIiIifW9TWQ3LN5dz/hGqXhaR9DGq4O0+zPe/shl3VdKJiCTDjLHBhtErt1REHImISM+kdYI5OyPoIacKZhER6Q+t7THOPXxsxJGIiPSdeMxYfuO7+Nr5M3hp/S7+5x+vKcksIpIEh4wuAOBNtScSkRST1gnmrETw61XWaQdsERHpewuXb+OI8UVMHJYbdSgiIn2qIDuDs2aMBuD2Fzby7zd3cux3HuPMm56kpLJeCWcRkX6QnRFnSG4GT60uobSqPupwRES6Lc0TzEEF80W/ez7iSEREJN1s3l3L0k27OVftMUQkTU1q9+XZR295kZLKetburObY7zzGzK8/zNqSKnZVNwBQXtPI+p3V7GyXEGlqbsHd2VBazROv7+AP/16732vWNjSzo6Ku738ZEZEUsbumkSUbdnHMtx+LOhQRkW5LRB1Af8rKSOv8uYiIROih5UF7jPPUHkNE0lQ8Zvz0Q0fy+buXtR278qTJzH9uPbWNzZz546cAOPfwMTz02rZuvefPHnuTqvomJg3L5czDRvHa5nIq6ho5cepwbn1+Q9u4Dx8/iY+/YzIHj8zHzNhaXsvr2yqZNa5wjx7RIiLpJjsjRl1j0OazsbmFjLjyGiIy8KV1grmmQZv7iYhI/3jotW3MHFvI5BF5UYciItJvLpwznpqGZvKzEpx/xFgS8RjvmjWau1/axD+WbgHodnIZoKq+CYCNZTXMf2592/HV2/fsN3rHoo3csWgjECS6m1uClhwThubwgw/M5ogJRRRmZxzIryYiMiAt/fq7+NviTfzPP1ZQvKuWKbrXFJEUkNYJ5vFDVN0gIiJ9r7ymkZc37uLaM6dHHYqISL8yMy47/qA9jp108AhOOngE7541ht8/vZbsRIwpI/K49qzptLiTEY8xqiCL3z+9llEFWdz2/Abef/R4Tp0+EjO46ZHVbC+v49RDRnDTI6sZmptBdX0zDc0tfOXcw1i4fCvLisvbrteaXAYo3lXLZX9YBMAvLj2KI8YXKfkiImklOyPOQcODea20ql5znIikhLROME8bVcCciUNobG6JOhQREUkjizeU4Q4nHjw86lBERCJz3hFjOe+IrtsEXX3awQC8/+gJexz/5aVHtT3+9BnTMLM9zn/qtIOprGuktKqBCUNz+L8V2zhsTAHZGXFe31rJLx5/k1eLy7n2zlcAWP/98/vqVxIRGRDys4NUzfLN5cydPCziaERE9i/tm/lMGparVhkiItKnFq0rIzMeY87EIVGHIiKS0joml1sVZGcweUQeiXiM98wex7RRBUwYmsvZM0ez4JqT+cI7D2kbe2u7VhsiIukgPytIMH/jgZURRyIi0j1pn2DOy4pTHfZ6ExER6QuL1pZy5MQisjPiUYciIjIoXXvWdB77wmkAfOufSsCISHppTTCLiKSKtE8w52YmVMEsIiJ9pqq+ide2VHDCVLXHEBGJ0rRR+Vx2/CRiMaOmQQUlIpI+8tolmNv3oRcRGajSPsGclxmnuqEJd03KIiJy4F5aX0Zzi3P8FCWYRUSidv7ssTQ0tfDE6yVRhyIi0mfaVzDvrKqPMBIRke5J+wRzblYCd6hr1EZ/IiJyYCrqGvnNE2sozE4wd/LQqMOR/8/efYfJVdb9H39/Z3Zne8u2lE2y6ZUUCAkhoQQIVZogiIqABXkABesDqKAgRQQrKvIDRHikKFICRHoKNY303jZlN9t7L3P//pjNsgkJ2SS7e7Z8XteVyzPn3DPzWSQ3Z7/nLiLS600bkkxCVDjvbVaBWUR6Dr/PeOTK4wDYXVLtcRoRkUPr8QXmmEBofcwqTZsTEZGj4Jzju08vZ/nOUu68cLzWXxaRAzKzs81so5ltMbNbDnD9d2a2ovnPJjMr9SJnT+H3GRMyElidXeZ1FBHxWBv638Fm9o6ZrTKz+WaW0era/Wa21szWm9kf7WA7kHaivgmRANz2whqPk4iIHFqPLzBHB0JTS6rrtA6ziIgcPuccjyzcykV//oAFmwq4/fyxXDR5gNexRKQLMjM/8GfgHGAscIWZjW3dxjn3fefcJOfcJOBPwAudn7RnGT8ggU15FdQ16n5fpLdqS/8LPAA86ZybANwJ3Nv83hOBGcAEYDxwPHBKJ0U/qNF94wHUt4lIt9DjtyaNiQiNMKus0whmEZGeqqEpSGOTIypweKOK88treX9LIT4zthVUkhQT4OLJA6iobWRXcTWvrNrD2pwyVu0uI+D3ccHE/lx5wuAO+ilEpAeYCmxxzm0DMLNngQuBdQdpfwVwRydl67FGpcfR0OTYVVzD8LRYr+OIiDfa0v+OBb7ffDwPeKn52AGRQAAwIBzI64TMnysQFhoPmFVUzZb8SvVvItKl9fgCc0JUAIDSmnqPk4iIHBkzOxv4A+AHHnXO3bff9QjgSeA4oAi43DmXZWZTgUf2NgN+4Zx7sfOSt7+SqnpeXpGN3++jsKKO+ZsKqG8MkltWQ1VdEycMS6ZffCSDU6KZOTyFnNIaNuVVklVURVYAc1gAACAASURBVHZJDfFR4aTFRVBQUcfanHKyS2s+8x33zF1PU9ARdBDmM8b0i+e7pw3nB7NH0gVmS4pI1zYA2NXq9W5g2oEamtlgYAjw7kGuXwtcCzBo0KD2TdnDpMVHAJBfUasCjEjv1Zb+dyVwCaH76ouBODNLds59ZGbzgD2E7pkfcs6tP9CXeNU3b86rUP8mIl1ajy8w94kJFZiLq1RgFpHup9V0v9mEbpSXmNkc51zr0RjfBEqcc8PN7MvAr4HLgTXAFOdco5n1A1aa2SvOuW45pSOvvJZL/vohu0tCRWEzmDI4iZSYSMb0jSMi3M/ynSWsyymnsLKO+9nY8t6EqHCGpcaws6iaJVnFJEUHOG5wEl+ZNohTR6US8PtIi4tkT3kNzy3ZRXTAz6i+8YzpG8eI9DivfmQR6X4O9BTKHaTtl4HnnXMHnPvsnHuE5oeEU6ZMOdhnCJAWF1qnNL+8zuMkIuKhtvS/PwIeMrOrgYVANtBoZsOBMcDeNZnfMrOTnXMLP/OBndw3Xz5lIM8t3aVBDiLS5anALCLStbVlut+FwC+aj58ndONszrnWW05HcvAiR5dXVdfIN55YQnFVPf/6znQG9okizOcjNS7igO0LKur4cGsh/RKimJCRQLjfh9936BvzhOhw7jh/XHvHF5HeYzcwsNXrDCDnIG2/DNzQ4Yl6gfRWI5hFpNc6ZP/rnMsBvghgZrHAJc65suZRyR875yqbr/0XOIFQEdpTN8waznNLd2nJTxHp8nr8Jn9J0eFEhfvZkFvhdRQRkSNxoOl+++8w19KmeXRyGZAMYGbTzGwtsBq4rruOXv7Va+tZv6ecP3/lWKYO6UO/hKiDFpcBUuMiuHDSAKYO6UNkuL9NxWURkXawBBhhZkPMLECoiDxn/0ZmNgpIAj7q5Hw9UmxEGFHhfo1gFundDtn/mlmKme2tgdwKPN58vBM4xczCzCyc0AZ/B1wio7PFRYbGBFbUNnicRETk8/X4AnOY38f0Yck8vWgnNfXafVVEup22TPc7aBvn3CLn3DhCu2HfamaRn/kCs2vNbKmZLS0oKDjqwO1tc14Fzy7ZyTUzhjBrdJrXcUREDqr5Id6NwBuEihP/cs6tNbM7zeyCVk2vAJ51znXbmSVdiZmRFh9BXoUKzCK9VRv731OBjWa2CUgH7m4+/zywldCAjJXASufcK52Z/2BimwvMZTUqMItI19bjl8gAyG5er/PvH27n+lOHe5xGROSwtGW69d42u80sDEgAils3cM6tN7MqYDywdL9rXXqdz7/M30pUuJ8bZqn/FpGuzzk3F5i737nb93v9i87M1Bukx0WSX64lMkR6s0P1v8655wkVk/d/XxPwnQ4PeATC/T76JUSys7j60I1FRDzU40cwA9xxwVgAtuZXeZxEROSwtWW69RzgqubjS4F3nXOu+T1hAGY2GBgFZHVO7PZR29DEf9fs4YvHDmhZU19ERGR/qfERFGgEs4j0QAP7RPPCJ9kUVaqPE5Guq1cUmE8clgLAfz7ZzcfbijxOIyLSdm2c7vcYkGxmW4AfALc0n58JrDSzFcCLwPXOucLO/QmOzgdbCqltCHLm2L5eRxERkS4sLS6CPI1gFpEeaH1OOQB/eneLx0lERA6uVyyR0dr6PeWcMDTZ6xgiIm3Whul+tcCXDvC+p4CnOjxgB3p7fT4xAT/ThvbxOoqIiHRh6fGRVNU3UVHbQFxkuNdxRETazXkT+vHskl3ER6lvE5Guq1eMYG6toSnodQQREWkD5xzvbsjjlFGpRIT5vY4jIiJdWN/40B62GsUsIj3NbeeNASAmoPthEem6el2B+cmPdlDb0OR1DBEROYTV2WXklddx+uh0r6OIiEgXl95SYNYapSLSs8QGQhPPS2saPE4iInJwhywwm9njZpZvZmsOcj3BzF4xs5VmttbMrmn/mEfvsaumALC7pIanF+30OI2IiBzKS8tzCPh9nD4mzesoIiLSxe3dCLa4qt7jJCIi7cvnMwD+On8ra7LLPE4jInJgbRnB/ARw9udcvwFY55ybCJwKPGhmgaOP1r5OH/PpCDht9Cci0rU1NgWZszKb08ekkRjd5f6TIiIiXUxSdGht0tJqFZhFpOdav6fc6wgiIgd0yAKzc24hUPx5TYA4MzMgtrltY/vEa193XjgOgHkb89laUOlxGhEROZj3NhdSWFnPxZMHeB1FRES6gb0PI0urNYVcRHquuMgwryOIiBxQe6zB/BAwBsgBVgM3OecOuJOemV1rZkvNbGlBQUE7fPXh+fr0TD6+9XQA/rV0V6d/v4iItM1/PtlNUnQ4p47S8hgiInJogTAfcZFhvLZ6jzb1FpEe5+YzRgBQ26D+TUS6pvYoMJ8FrAD6A5OAh8ws/kANnXOPOOemOOempKamtsNXH76+CZEkRgf424JtrNpd6kkGERE5uPLaBt5cl8cFE/sTCOt1e9GKiMgRmjQwkQ25Fdz+8hqcc17HERFpN1+ZOgiAyrouOVlcRKRdCszXAC+4kC3AdmB0O3xuhxndNw6Af36szf5ERLqat9flUd8Y5EItjyEiIofhVxeNZ3ByNM8s3sXi7Z+3wp+ISPcSHRFaGuNnL63pkM93zlHfqNHRInLk2qPAvBM4HcDM0oFRwLZ2+NwO8/DXjgPguaW7mPKrt/jNGxuobWjyOJWIiAC8vT6PtLgIJmUkeh1FRES6kcHJMTz1jWkA7Ciu9jiNiEj7iQ73H/Rafnkt3/rHEh58c2PL7I3ahiacc5RU1XPive8w/o432F5YReN+Swhll9awencZX310ESN/9l8WbSuivjFIMOj4x4dZfLilsGXUdG1DEwUVdQA0BTVLRET2dcgV4s3sGeBUIMXMdgN3AOEAzrmHgbuAJ8xsNWDA/zrnCjsscTuIiQjjOycP5W8Lt1FYWc+f523ln4t2MiItll9eMJ7KukamDunjdUwRkV6nrrGJBRsLuHDyAHw+8zqOiIh0M2nxEUCo4CIi0lP4fMaFk/rz8oocqusbiQ6ESjk5pTWc/6f3Kaqq5+31+Ty8YCtNQceB6r+zHph/yO+5/JGPD3h+QGIU2aU1AHxjxhAe/2A735o5hNvOHaN7dhEB2lBgds5dcYjrOcCZ7Zaok9x67hgyU2J4eMFWRqbH8da6PJZklXDuH98D4MJJ/SmraWD+xgKGpMTwnZOH4jOjtrGJYwYksCW/ktyyWuZtzOfv10yloraBtLhIgs4R7g8NDPf7jIraBoJB2FJQwbGDkjBT5ysicjCrdpdRVd/EqSO9WadfRES6t8hwPxlJUTy7ZBcj0+OYPTZd998i0iOcNCKVl1fkkF9eR2ZKGPWNQU68710AYiPCqKxrpKGpY0YW7y0uAzz+wXYAHn1/O4++v527LhrPM4t28utLJnBMRkKHfL+IdH2HLDD3ZFdMHcQVzYvlf7KzhL8t2EpWYTUb8yp4eUVOS7vthVXc8sLqg37OxF++2XIc8Puo/5ydqycOTOSM0WmcPiadl1Zks2xHCcNSY/jxWaOJifC3PIkUEemNlu8sAeDYwUkeJxERke7qZ+eN5canP+Hap5Yxum8cr998steRRESOWkpsAIDCyjrC/Marq/a0XHv3h6fw2Pvb+dvCT1crjYsIA4MXrz+R4WlxFFfVs7O4msfe386lx2Uwtl88KbEBnIO/f5hFblkNr67aw0s3zKCmvol3N+TzhYn9ePS97fxr6S6+Pj2TP76z+TO5ft68LvT5D73Pj84cyYSMRE4akaKHeyK9jHm1w/KUKVPc0qVLPfnuz9MUdLy1Lo+qukYKKus4ZWQqBRV1LNpeRP/EKP7v452s31Pe0n5iRgJFVfXsLqn5nE9tu7PGpTMwKZr/PWd0y0hoEenezGyZc26K1znawuu++bqnlrE+t5wFP57lWQYR6fm6U78M3vfN3VF1fSMn3z+Pwsp6nrv2BKYNTfY6kogcgvrmz7cmu4wv/Ol9vnjsAF74JBuAISkxvPa9mfsMVNtaUMmw1NgOyVBd38jSrBIKKurYWVxNSlxES4H5M3l/eRaxERpAJ9LdtbVv1t/2/fh9xtnj++5zbkw/OLl5uvZXpw0GoLEpSEVtI0kxgZZ2OaU19E+M4sOthQxMimZbYRXFVXWM7ZdAuN/YVlDFhtxyogNh5FfU8d7mAjJTYhjfP4F/Ld3F9sIq3libB8Cq7DL+9Z3pnfRTi4h4zznHJztLOHGYigAiInJ0ogNhLPjxLM7+w0J+/vIaXr/pZK0TKiLdWkZSFEBLcXlCRgLPX3cigbB9B6Z1VHEZQn3ryfstZfe1aYP4ZGcpd76ylrrGIBtyKwC4+dnlPHrV8R2WRUS6FhWYj1CY37dPcRmgf2Kowz9xWAoAA/tE73N9aGosZ4xNb3l9yzmjW47/59Rh5JbV8sjCbTz+wXYWby+msLKOlNiIjvoRRES6lJyyWvIr6rQ8hoiItIvQxt7D+NlLaxh621wAnr9uOlMytZm3iHQ/idGf1h/C/cacG2d6mOZTZsZxg5N4uTnPprwKzvzdQj7aWkRjU5AwzcwW6RX0N70L6ZsQye3nj+UvXz0WgOeW7PI4kYhI5/lkR2j95ckDVWAWEZH2cda4vrQeuPz04p3ehREROUp/vyY0Injv4LauaGR6HL84fyxV9U2c+8f3vI4jIp1EBeYu6Nxj+jFrVCp//yCLpqA3a2SLiHS25TtLiQz3MbpfnNdRRESkh0iNi2DrPefyxckDgNDU8g+2FHqcSkTkyMwalcb9l07gH9dM9TrK57pgUqjP3ZRXSWFlncdpRKQzqMDcRV163EAKK0ObC4qI9Aaf7CxhwoBEbXAqIt2amZ1tZhvNbIuZ3XKQNpeZ2TozW2tmT3d2xt7GzHjwsomc07zPylcfXURVXaPHqUREjsxlUwaSmRLjdYzP1ScmwK8uGg/AhQ994HEaEekM+i2+i5o5IrSO89rsco+TiIh0vLrGJtbllDN5UKLXUUREjpiZ+YE/A+cAY4ErzGzsfm1GALcCM5xz44CbOz1oL2Rm/PVrx3HMgAQAxt3xBv9Ztpv8ilqPk4lIeznUAz4zG2xm75jZKjObb2YZra4NMrM3zWx98wPAzM7M3hMd37zefXZpjcdJRKQzqMDcRSVEhRMbEabOWER6hY25FdQ3BZk4UAVmEenWpgJbnHPbnHP1wLPAhfu1+TbwZ+dcCYBzLr+TM/ZqT397GjOGJwPww3+vZOrd73icSETaQ1se8AEPAE865yYAdwL3trr2JPAb59wYQn25+uajNKpvHDefMQKA/HI9zBPp6VRg7sIykqLYWVztdQwRkQ63MbcCgNF9tf6yiHRrA4DWuzTvbj7X2khgpJl9YGYfm9nZB/ogM7vWzJaa2dKCgoIOitv7xEWG889vncDlUwa2nHtpebaHiUSknbTlAd9YYO9TpXl7rzcXosOcc28BOOcqnXP6RbwdTB8aeqC3bo9mZov0dCowd2Fj+8WzNqfM6xgiIh1uY24FEWE+Bid37fXkREQOwQ5wbv8dm8OAEcCpwBXAo2b2mekbzrlHnHNTnHNTUlNT2z1ob/frSyfwwvUnAnDzcys45w/v4Zw21xbpxtrygG8lcEnz8cVAnJklE3rwV2pmL5jZcjP7TfOI6M/Qw7/DMzI9NHhkU16Fx0lEpKOpwNyFjewbR155HZXahESkV2vDenIRZvZc8/VFe9eMM7PZZrbMzFY3/+9pnZ29rTbmVTAiPRa/70C1GRGRbmM3MLDV6wwg5wBtXnbONTjntgMbCRWcpZMdOyiJK6YOAmD9nnL+Mn+rx4lE5Ci05QHfj4BTzGw5cAqQDTQSevB3UvP144GhwNUH+hI9/Ds8STEBUuMi2JRX6XUUEelgKjB3YYP6RAOwo6jK4yQi4pU2rif3TaDEOTcc+B3w6+bzhcD5zrljgKuApzon9eHbmFvBqPR4r2OIiBytJcAIMxtiZgHgy8Cc/dq8BMwCMLMUQiPntnVqSmlx7xeP4c3vn0xMwM/v3tpEcVW915FE5Mgc8gGfcy7HOfdF59xk4KfN58qa37u8eXmNRkL99LGdE7vnG5keqxHMIr2ACsxd2N4C884iLf8k0ou1ZT25C4F/NB8/D5xuZuacW+6c23tjvRaINLOITkl9GKrrG8mvqGNoqpbHEJHurbkwcSPwBrAe+Jdzbq2Z3WlmFzQ3ewMoMrN1hNYA/bFzrsibxAKhKdz/vu5EGoOOY+96q2VfABHpVg75gM/MUsxsbw3kVuDxVu9NMrO9Q5JPA9Z1QuZeYWR6HBtzKyirbvA6ioh0IBWYu7BByc0jmLXRn0hv1pb15FraNBc3yoDk/dpcQmhkRl0H5TxiuWWhXaX7JUR6nERE5Og55+Y650Y654Y55+5uPne7c25O87Fzzv3AOTfWOXeMc+5ZbxMLwNj+8dw4azgAf3xns8dpRORwtfEB36nARjPbBKQDe/voJkLLY7xjZqsJLbfx/zr5R+ixvjChP3WNQeZvyvc6ioh0oDCvA8jBxUeGkxQdzg6NYBbpzdqyntzntjGzcYSWzTjzgF9gdi1wLcCgQYOOLOVRyC0PFZj7qsAsIiIe+uGZI3l7fR5b8rVWqEh35JybC8zd79ztrY6fJzTb70DvfQuY0KEBe6mJGQlEhPlYm1POhZP2HycjIj2FRjB3cYOSY3hm8U4WbNIOtSK9VFs3jBoIYGZhQAJQ3Pw6A3gR+Lpz7oC7F3m9WcneEcx941VgFhER75gZ5x7Tj415msotItJewvw+MpKitA6zSA+nAnMXNzItFoCrHl/Mlnx1yCK9UFs2jJpDaBM/gEuBd51zzswSgdeAW51zH3Ra4sOkEcwiItJVTMlMAuD03y6gqq7R4zQiIj1DdX0T8zcWaI17kR5MBeYu7tZzx/CdU4YC8PcPsrwNIyKdro3ryT0GJJvZFuAHwC3N528EhgM/N7MVzX/SOvlHOKS8slriIsOIDmjVJhER8da0IclMH5pMYWUdL63I9jqOiEiP8P0zRgLw7gatwyzSU6nA3MX1iQlw6zljGNc/nuzSGq/jiIgH2rBhVK1z7kvOueHOuanOuW3N53/lnItxzk1q9afL3dXlltdqgz8REekS/D7jiW8cT7jfeEKDO0RE2sVlxw8kKTqc3SXaX0qkp1KBuZsY1CeazXmVBIP77+0lItK95ZbVkq71l0VEpIuICPNz0+kj2Jxfye/f3uR1HBGRHmFQcow2URXpwVRg7iZmj00nu7SGN9fleR1FRKRd5ZbXaoM/ERHpUoanxQHw+7c3U1xV73EaEZHub2pmEst3llJT3+R1FBHpACowdxPnHtOPjKQorvu/ZRx711sUVNR5HUlE5Kg1NgUpqKjTBn8iItKlDEuNaTk+9q63tNm2iMhRmjE8hfqmIEuyir2OIiIdQAXmbiIy3M8rN87kkmMzKK6q58uPfERZTYPXsUREjkpBZR1BhwrMIiLSpYxIj+O1781sef2XeVs9TCMi0v1NHdKHgN/HW61mZTvneHjBVnYUVXmYTETagwrM3UhSTIAHL5vILeeMZmtBFRN/+SY//vdKdhZpoXwR6Z5yy2oBtESGiIh0OeP6J3D1iZkAvLA8m6JKzSAUETlS0YEwLpzUn+eW7iKvvJby2ga+9PBH3PffDZzym/mc84f3WJpVzJ6yGt7bXOB1XBE5TCowd0PfOXkoJwztA8C/l+3m5N/Mwzlt/ici3U9eeajArE3+RESkK/rFBeNajm97cTUAFbUNZBVqtJ2IyOG68bTh1DcGmXbPO0z4xZss3VHScm39nnIuffgjpt/7Llc+tphj7nhDdQ6RbkQF5m7IzHj22uk8f930lnMTf/kmu4qr1QGLSLfSMoJZS2SIiEgX9ep3Q0tlvLE2j8xbXuOYX7zJqQ/Mp6SqnueX7WZbQaXHCUVEuofByTEHPP/stSdw0+kjyEiKajlXUdfIsNvmqsYh0k2owNyNTcnsw4vXnwhAeW0jJ90/jyG3zuWBNzZ6nExEpG32lNcS8PvoEx3wOoqIiMgBjR+QwF0XjvvM+dMenM+P/r2S0x5cwLOLd3qQTESk+3nphhkAnDIylS13n8MnP5/NCUOT+f7skSz88SzuOH8ssRFhAAQdfP3xxSzboY0BRbo6FZi7ucmDklh02+n7nHto3hbO/v1C7c4qIl1eXlktafER+HzmdRQREZGDunJ6JtvvPZc7WxWaS6o/3XD7lhdWk3nLazzwxkbmrt6jEXciIgcxaWAiWfedxz++MZUwv48+MZ8ONPH5jGtmDGHpz87gjDFpALy3uZBL/voRm/Iq1LeKdGEqMPcA6fGRZN13HtvuOZdfNq8TtyG3gi89/BGPLNSO1yLSdeWW12qDPxER6RbMjK9PzyTrvvP42XljiAz/7K9SD83bwvX//IQht87lG08s0caAIiJHIDLcz6NXHc+6O89iTL94AM783UKG3DqX7NIaj9OJyIGowNyD+HzGVSdm8n/fnNZy7p65G3h9TS6NTUEPk4mIHFhuWS3pWn9ZRES6mW+dNJQNd53DR7eexu1fGMuK22fzxDXHc9KIlJY2727I57hfvc3ukmoPk4qIdF/RgTD+e9NJTMhIaDn32qocDxOJyMGowNwDzRyRQtZ957HottNJiY3guv9bxv/88xOvY4mI7MM5R255Lf00gllERLqpfglRfGPmEBKjA5w6Ko2nvjmNuy8ez6A+0S1tZv56Hpm3vEbmLa9x87PLqW1o8jCxiEj3M+fGmTx/3XQAHnt/O01BLZUh0tWowNyDpcdH8vrNJwHw1ro8dhRVeZxIRORTZTUN1DYE6asRzCIi0oN8ddpgFv5kFpt+dQ4//8LYfa69tCKH0T9/nb8t2MqG3HKPEoqIdD9TMvsAkFdex7+X7vI4jYjsTwXmHi4lNoIPbjkNgFN+M19FZhHpMvaunzYgMcrjJCIiIu0vEObjmzOH8N+bTuLvVx/P8LTYlmv3/ncDZ//+Pf6zbLeHCUVEupc5N84gKTqcu15dx8bcCq/jiEgrKjD3AgMSo1o20frlK+u086qIdAk5pbUA9FeBWUREerAx/eKZNTqNt75/Mv/81jQunzKw5doP/72Sv8zf4mE6EZHuY0JGIq9+7yQCYT6++ugifv/2JoJaLkOkSzhkgdnMHjezfDNb8zltTjWzFWa21swWtG9EaQ/zf3wqN50+gnc35HPHnLVexxERIad5BLMKzCLSk5jZ2Wa20cy2mNktB7h+tZkVNN87rzCzb3mRUzqfmTFjeAq/vnQCc26cwcSBiQDc//pGDQAREWmjAYlRzBqVRmFlHb9/ezOLthd7HUlEaNsI5ieAsw920cwSgb8AFzjnxgFfap9o0p4iw/18ffpgAJ78aAc3Pv0J+eW1HqcSkd4sp7SGQJiP5JiA11FERNqFmfmBPwPnAGOBK8xs7AGaPuecm9T859FODSldwoSMRJ799gkM7BN6yDp/Y4HHiUS6vzY84BtsZu+Y2Sozm29mGftdjzezbDN7qPNSy5H4/uyRLcdX/L+P+dLDH3LD05+wJrvMw1QivdshC8zOuYXA5z0S+grwgnNuZ3P7/HbKJu0sOTai5fjVVXu4+C8fephGRHq77NIa+idE4vOZ11FERNrLVGCLc26bc64eeBa40ONM0kVFBfy8dP0MAP7zidZiFjkabXzA9wDwpHNuAnAncO9+1+8CNCO7GxjYJ5qs+87j/319CglR4SzJKuG1VXv4wp/eJ/OW1xh/xxtsLaj0OqZIr9IeazCPBJKanwAuM7Ovt8NnSgdZefuZnDEmDQgVd15anu1xIhHprXJKa7Q8hoj0NAOA1lvb724+t79LmkfQPW9mAw9wHTO71syWmtnSggKNbu2pkmMjuGr6YN5cl0dVXaPXcUS6s7Y84BsLvNN8PK/1dTM7DkgH3uyErNJOZo9NZ+FPZvHeT2YxNDWm5XxlXSOnP7iAhZv030+RztIeBeYw4DjgPOAs4OdmNvJADXWj7L2E6HD++rXjOHZQaM23m59bwb1z1zPz1+8y4qdzySmtYdXuUj7eVuRxUhHp6XJKa1VgFpGe5kBTMvZfXPcVILN5BN3bwD8O9EHOuUecc1Occ1NSU1PbOaZ0JbPH9qW+Mci7GzQRVOQotOUB30rgkubji4E4M0s2Mx/wIPDjQ32JahpdT0JUOAP7RPPOD05hxe2zef666Vx9YiYAX398MS+v0KA6kc7QHgXm3cDrzrkq51whsBCYeKCGulHuGsL9Pp74xlS+fdIQAP62cBu7S2poaHKceN+7XPDQB3z5kY/54b9WUlpdr9EUItLuGpqC5FWowCwiPc5uoPWI5Awgp3UD51yRc66u+eX/IzRQQ3qxKZlJAHz3meUeJxHp1trygO9HwClmthw4BcgGGoHrgbnOuV0cgmoaXZeZkRgdYEpmH35xwTjuv3QCADc9u4LfvrXJ43QiPV9YO3zGy8BDZhYGBIBpwO/a4XOlA8VHhnPbuWP40pSBvLe5kLteXfeZNv/5ZHfLenBR4X76JkQSE+Hn4a8dR0ZSdGdHFpEeJLesFuegf0Kk11FERNrTEmCEmQ0hVLj4MqH9SlqYWT/n3J7mlxcA6zs3onQ1keF+pmb2YXFWMaXV9SRGa/NbkSPQlgd8OcAXAcwsFrjEOVdmZtOBk8zseiAWCJhZpXPuMxsFSvdx2ZSB3DN3PaXVDfzxnc1kJEVx2ZQDrkolIu3gkCOYzewZ4CNglJntNrNvmtl1ZnYdgHNuPfA6sApYDDzqnFvTkaGlfZgZI9Pj+ObMIWTddx7/vekkThudxoWT+re0GZUeB0BNQxPbC6tYk13OzF/P45GFW9laUMmCTQWszSnDuf0fDotIe2nDjtgRZvZc8/VFZpbZfD7ZzOaZWWVX2w17V3E1AIP66GGViPQczrlG4EbgDUKF438559aa2Z1mdkFzs++Z2VozWwl8XvzdEAAAIABJREFUD7jam7TSlVw/axgAG3MrPE4i0m21POAzswChB3xzWjcws5Tm5TAAbgUeB3DOfdU5N8g5l0lolPOTKi73DM9fd2LL8U+eX8WWfG38J9JRDjmC2Tl3RRva/Ab4TbskEs+M6RfP41cfD8D9l04gIswPQFl1Aws2F/DX+VsprKyjoKKOe+Zu4J65G1remxgdziNXTuG4wUn4fQeanSQiR6LVjtizCY3MWGJmc5xzracdfBMocc4NN7MvA78GLgdqgZ8D45v/dBk79haYk1VgFpGexTk3F5i737nbWx3fSqiwIdJidN94ADbmVTBtaLLHaUS6H+dco5ntfcDnBx7f+4APWOqcmwOcCtxrZo7Q0p43eBZYOsXwtFjW3XkWY29/A4AzfruAP14xmQsm9j/EO0XkcLXHEhnSA+0tLkNoY8ALJvbfpxN+ZvFObn1hdcvr0uoGLvvbRwDqsEXaV8uO2ABmtndH7NYF5guBXzQfP09o2SJzzlUB75vZ8E7M2yZZRVWE+41+CVqDWUREJD0+gvjIMDZoBLPIEWvDA77nCd0rf95nPAE80QHxxCPRgTC233suv3t7M398ZzPfe2Y5kWE+zhzX1+toIj1Ke2zyJ73QFVMHkXXfeWTddx73XHwMyTGfrhX3vWeWc/XfF3uYTqRHacuO2C1tmqdnlwFdevjTzqJqBiZFa8aDiIgIoaXrRveNZ5MKzCIi7c7M+MHskVw8OfRr1LVPLdMynyLtTAVmOWpfmTaIZT+fzfv/O4tLjs0AYP7GAtbvKfc4mUiP0JYdsdvS5uBfYHatmS01s6UFBQWHFe5I7SiqZrCWxxAREWkxqm8cG/MqVPQQEekg3zppSMvx04t3ephEpOdRgVnaTUZSNA9eNpFfXjAOgF++stbjRCI9wiF3xG7dxszCgASguK1f4Jx7xDk3xTk3JTU19Sjjtun72FlczeDkmA7/LhERke5iVN84KmobyS6t8TqKiEiPNK5/Am//4GQAfvriGuZtyPc4kUjPoQKztLurTszk1nNG8/G2YuZvVIctcpQOuSN28+urmo8vBd51XXj4U3FVPZV1jQzqoxHMIiIie43uGwfARi2TISLSYYanxfH7yycBcPfc9R6nEek5VGCWDvGNmUMI+H1c/fclVNU1eh1HpNtqXlN5747Y64F/7d0R28wuaG72GJBsZluAHwC37H2/mWUBvwWuNrPdZja2U3+AA8gqqgbQEhkiIiKtjGwuMGujPxGRjnXR5AHcdu5otuRXknnLa+wuqfY6kki3pwKzdIhwv48LJvUH4L3NhR6nEenenHNznXMjnXPDnHN3N5+73Tk3p/m41jn3JefccOfcVOfctlbvzXTO9XHOxTrnMpxz67z6OfbaWVwFqMAsIiLSWnxkOH3jI9lWUOV1FBGRHu/iyRlMHJgIwL3/3eBxGpHuTwVm6TD3XHwMkeE+Pt5W5HUUEelCdhRVYxZat11EREQ+1ScmQFlNvdcxRER6vNS4CF6+YQZfnTaI11bt4TdvqMgscjRUYJYOEwjzcdzgJBZtb/NeYyLSC+wsqqZffCSR4X6vo4iIiHQpidHhlNU0eB1DRKTXuPbkoQD8ed5WgsEuu42NSJenArN0qGlDktmQW05ptUZiiEjIjuJqBml5DBERkc8IOseSrBIam4JeRxER6RUGJ8cwe2w6AENvm0uD+l+RI6ICs3SoaUP64BwsySrxOoqIdBFZhVVkJsd4HUNERKTLqaprAmBNTrnHSUREeo+fnTem5XjZDtUuRI6ECszSoSZkJOL3GSt3lXodRUS6gJKqeoqq6hmWGut1FBERkS7nx2eNAkL/vRQRkc4xODmGj249DYB/fJjlbRiRbkoFZulQUQE/EzMSmL8p3+soItIFbC2oBGB4mgrMIiIi+xvcvITUNU8s4ZnFO3l5RTZPfbyDLfmVHicTEenZ+iVE8cXJA3hrXR4bcjWLRORwhXkdQHq+Ywcl8c9FO3HOYWZexxERD+39BVkjmEVERD4rKSbQcnzrC6v3ubbyjjNJiArv7EgiIr3Gz74wlrfW53HlY4tZ+ONZRAW0KblIW2kEs3S4tPgIahqa2JhX4XUUEfHY1oJKIsJ8DEiK8jqKiIhIlxMXEcZNp4/g7ovHf+baxF++yZRfvcU/PsziJ8+v5IE3NpJ5y2vsLqkmGHQANAUdzrnOji0i0iP0iQlw9YmZFFTU8c6GPK/jiHQrGsEsHS4qPPTU7xdz1vLstdM9TiMiXtqcX8mQlBj8Ps1mEBER2Z+Z8f3ZIwFYvrOUbQWVjOufwFMf7wCgsLKeO+as3ec9M389D4ArTxjMUx/v4IuTB/Dbyyd1bnARkR7i5jNG8s9FO/nHh1ks2lbMbeeO0UhmkTbQCGbpcJcclwHAx9uKmf3bBSzaVuRxIhHxgnOONdlljOuf4HUUERGRLu+BL03khetncNdF43nr+ycfsv3eIvQLy7MZ8/PXWZtT1tERRUR6HL/PuHBSf5ZklfDUxzt4f0uh15FEugWNYJYOFx349F+zzfmVXP7Ix/z03DEcl5nEsYOSPEwmIp0pp6yWwsp6Jg1UgVlERORwjEiPI+u+8wCobWgisnmG4IdbC4kJhFFV18ij72/n3Q2hjbVrGpo474/vA/Djs0Zxw6zh3gQXEemG/ufUYSzaVsy6PeX86N8rWfzT04kI0yhmkc+jArN0ijk3zqAp6PjHh1m8tCKHu+euB+AHs0dy/sT+DEmJ8TihiHS0lbtKAZiQkehxEhERke5rb3EZ4MRhKZ8eD08hp7SG55ft5r3NBSzJKgHgN29spL4xyDUzMkmMDnzm80REZF9pcZHMvekkvvPUUt5Ym8fxv3qbZT+fTbhfiwCIHIz+dkinmJCRyORBSZx7TL99zv/2rU3MemA+d726jvc3F1LX2MQ/PsyitLreo6Qi0lFW7Col4Pcxul+c11FERDqMmZ1tZhvNbIuZ3fI57S41M2dmUzozn/Rs/ROj+N7pI3jqm9O468JxLef/8M5mvvPUMm0AKCJyGP7w5cmcNCKF8tpG/tm8DJGIHJhGMEunOnNcX7LuO4/S6nq++8xy3tscWs/osfe389j721va3TFnLWeOTeeXF45jSVYJOwqr+O7pI7yKLSLt4IMthUwamKjpZSLSY5mZH/gzMBvYDSwxsznOuXX7tYsDvgcs6vyU0htEhvu5cnomV07PpLEpyL3/3cBj729nyK1zue+Lx3DamDTS4iK9jiki0qVFhvt59KopnP379/jlq+sYmR7HicNTDv1GkV5II5jFE4nRAZ765jQ2330O918y4YBt3lyXx/R73+V7zyznwbc2cfzdb/PAGxtZk13GjqKqTk4sIkcjv7yWtTnlnDIq1esoIiIdaSqwxTm3zTlXDzwLXHiAdncB9wO1nRlOeqcwv4+bz/h0oMYtL6xm6t3vkF9eS155La+szPEwnUj7OdQMEjMbbGbvmNkqM5tvZhnN5yeZ2Udmtrb52uWdn166qogwP3NunEF8ZDjPLNnldRyRLksjmMVT4X4flx0/kMuOHwiAc46Pthbx1vo8lu0oYdXuT3e/Lqio46F5W3ho3hYA7r54PJccm7HPOnQi0jXNaf7l9axx6R4nERHpUAOA1r997gamtW5gZpOBgc65V83sR50ZTnqvuMhwNv3qHL715FIWbioAYOb986hvDALw3WeW86crJnP+xP4Egw6fz7yMK3LY2jiD5AHgSefcP8zsNOBe4EqgGvi6c26zmfUHlpnZG8650k7+MaSLiosM5+LJA3jiwyxeWZnDFVMHcfsXxhIVUC1CZC8VmKVLMTNOHJ6yz7ST2oYm/jJvCzOGp3D5Ix+3nP/pi2v46YtruP0LY7n6xEzdCIt0Uc45nl+2m0kDExmepvWXRaRHO9DNSMuit2bmA34HXH3IDzK7FrgWYNCgQe0UT3qzQJiPJ78xFYB5G/N54oMsFjQXmyFUZP7uM8sBuGhSf2aOSCUy3Mc76/O5YdZwhqfF7vN5e9dzNtM9uHQJLTNIAMxs7wyS1gXmscD3m4/nAS8BOOc27W3gnMsxs3wgFVCBWVp8++ShPPFhFgDPLN7JKSNTOHt8v89/k0gvogKzdHmR4X5+cOYoALLuO4+tBZWUVjeQVVjFD/+9kjtfXcedr67j1FGp/OHyycRE+JmzMocx/eIZ0y/e4/QiMn9TARtyK7jvi8d4HUVEpKPtBga2ep0BtF5/IA4YD8xvLsr1BeaY2QXOuaWtP8g59wjwCMCUKVO0M5u0q1mj0jh1ZCr/XrqbJz7MYt2e8n2uv7Qih5dWfPqv7ovLswFIjglQVd/IQ1ccy8MLtrJ0Rwk/O28MlXWNXDCxP4+9v52fnD2a+MgwFmwqYNqQZI3wk85yyBkkwErgEuAPwMVAnJklO+eK9jYws6lAANh6oC/Rw7/ea0BiFE9/exoPvbuFD7cWcd3/fcJdF43nyhMGA6GHbnrgJr2ZebWT8JQpU9zSpUsP3VDkc7y0PJubn1tx0OtR4X6evfYE9pTVMiw1hkHJ0dTWB4mPCqMp6Ajzaxly6Xhmtsw5N8XrHG3R3n1zfWOQCx56n+r6Jt7+wSkEwvR3TkS811H9spmFAZuA04FsYAnwFefc2oO0nw/8aP/i8v503yyd5cXlu3niwx0kRIW3LKXRHvrEBLj6xEz+PG8LN50xgrLqBi6aPID+iVGszS5j/qYCrj15KBFhPuIiwwFoCjqKq+pJjYtgTXYZY/vFa8ZiD3c0fbOZfQk4yzn3rebXVwJTnXPfbdWmP/AQMARYSKjYPM45V9Z8vR8wH7jKOfcxh6C+uffKvOW1lmMzyEiKYldxDf0TInn7h6fQ0OSoa2giLjJcD9mk22tr36wRzNKtXTR5ABdNHkAw6Ph4WxGvrMrhmcWfPriuaWjiwj9/cND3nz+xP7NGpbJ4ezHThyUzfWgyNz6znBtnDefkkaHNyEqr64mNCFMxWuQIPPjmRjbkVvC3K49TcVlEejznXKOZ3Qi8AfiBx51za83sTmCpc26OtwlFPt/FkzO4eHJGy+vq+kbqG4MUV9Vz2oMLOG10Gu9uyAdgaEoM2wrbtvF2cVU9v30rtArB/a9vBOBvC7ft0+aR5tfjB8SzJvvTEdXHDEhgdXYZV54wmC9M6MfofvEkRIXTFHRsL6xi0fYiLp48gNqGIPWNQcL8RnxkOIEwH41NQUprGkiJjfjcfLuKq3l/SyFXTNWI1G7sUDNIcM7lAF8EMLNY4JJWxeV44DXgZ20pLkvv9t5PZnHJXz8kv6IO52BXcQ0AOWW1jL39jX3aPnHN8Ty8YCub8yq575IJNDQFmTE8hcq6RoJBh3OQVVTVUn8Q6a40gll6nKLKOoqq6tmaX8mrq/bw2uo97fK5rW+oAb41cwgnjUzlrXW5zByeSnFVPRdM6k9sRBjBoGP5rlLG9Y8/6CaElXWNBPw+Fd16gd46gvnR97bxq9fW85Vpg7jnYi2PISJdR3fql0H3zdK1NAUddY1NRAfC2F1STV1jkKEpMUBocEdRZT1p8RFEhPl5d0MepdUNZCRFc8sLq9hW8GlBum98JLnltQCkxkVQUFHXYZlTYiPonxjJkJQYZo9N54E3NnL58YMYnByNc3DD058AcMLQPgSDMDQ1hsuOH0hjk6O6vpGx/eIJ9/soqKxjRFrsPjMhaxuaCPf78Gt09VE7yhHMh5xBYmYpQLFzLmhmdwNNzrnbzSwA/Bd4xTn3+7Z+p/rm3q0p6Jj9uwVsK6hiYJ8oRqTF7VMvOFwnj0zlWzOHMDg5mmcW76KitoGpQ/pw8ohUFm4uYOWuMk4clkz/xCjC/MbLK7KZMSyF6IgwcstqGZkeS0JUOLtLaogK+Hl4wVbOHJvO1CHJvNf8/sc/2M4d549l1e4yTh2VyglDk9lTVsuyHSWcOTadgX2iD5itpr4JoMeMxs4rryU1NqLDZ8U45yiraSAxOtCm9tmlNQxIjOrQTEeirX2zCszSK2zMrWBEWiy55bWU1TRQVtNAVLifC//8AUNSYiioqKOyrrHDvj8Q5mNoSgzhfh+rs8v2GZlxyzmjAchMjmbR9mLKahp4Z30+PzprFH2iA2zOr2DakGRySmuIDvipbwpSUFHH+AEJTB6UiM+MMJ+xrbCKyHA/AxKjKK9tILeslrN+v5DbzhnDiPRYfGaE+31MHpRIdmkNA5OiCfcbxVX1RAX8BPw+gi6Utby2gcKKOjKSog9aAD/YGlNNQYfPoL4pSEOTIzbi4BMlgkGH2edvDnOgncx3FVeTGhdx0OJ9a41NQc9Hn3enQkZ79M21DU3c+eo6nl60k7PH9eWhr0z2/P8DEZHWulO/DLpvlp5j7++etQ1BIsJ8vLkujxnDk1uWxZizMgfnHBMzEomNDGP9nnKufGyxl5E/Y3haLFvyKwEY3TeODbkVLdeOz0wiIymaQX2iya+oJT4qnPzyOl5cns3VJ2Zy6XEZPL9sN1sLKimraSA64Oc7pwzjZy+uIbu0hm+fNISJAxM5Z3w/lmYV0y8hiu1FVSREhbNsRwnDUmPw+4xR6XFEBvz4zIgM8xHm9/H6mlwiw32cOiqtJc+u4mqu+vtiHrriWMb2D+1Nc7B748amICt3l3Hc4KTPXKuqayQq3N+mYszynSUcMyDhiO79jrZvNrNzgd/z6QySu1vPIDGzS4F7CW2+uhC4wTlXZ2ZfA/4OtF7O6Grn3MHXYkR9s3xWZV0jBRV1/OHtTRyX2Yefv7QGCC2hsbukxuN0hzYhI4EThoZqD98+aSjFVfWsyS7jwbc2ERcZxtdOGMyw1FhW7iolNjKMn5w1igWbCthVUkN9Y5DpQ5P53/+s4poZmTy8YCvj+yfwlWmD6J8YRXxUOO+sz2PG8JSWWSWVdY2MvyM04jsjKYrM5BguOW4AD8/fxss3zuAP72wGYE12Gcdn9mFEWizltaGHlhtyK/jqtEFEhvvZkl/BnBU5xEeFU1HbSGJ0ONOGJNMYDFLbEKS2oYlnFu9k9th0bntxNbUNQQD+eMVkUmIDbMmvZNaoNPrEBNiQW8Gba3NZtbuMj7YVcdmUDG6cNYK0+Ai25FcSCPORU1rDG2tzWwrvPp9RVFnPhtxy/vLVYzlucB8AfjFnbcvGkD85exSj0uNIjA5wzIAEAmE+sgqrSI+PZFdJNV99dBEFFXU8fvUUZo1Ko6q+iUcWbGVLQSVzV+fy/TNGsjanjDPGpvPJjhL+59RhJESFU9cYJDkmgJnRFHQt9Zu99RrnHOU1jYSHGVHh/iNaJ1wFZpHDVFBRR5+YAPkVtby2ag9fO2Ew1fVNFFTUUVbTQHp8BOF+Hw1NQZ5bsospmUl8sKWIx97f3vIZe6fwdTeB5lEXNQ1NhPuNhqZ9+4VBfaIZmR7HmuwycstriYsIo6K5IH+w6ZH7n/+fU4fx3JJdFFfVf6ZtSmwEo/rGYhirs8sYkRbLmePSuWfuBgCev2462wqqaAiGOs/r/i80yuS7pw3nCxP688zindQ2NDFrdBo7iqooqqxnQFIUJVUN/O7tTfxw9khqGppC0ztHp1FV38iyHSXUNQRJj48kKuAnNTYCM/h4WzF9EyI4ZWQa8zbmc+rIVB5ZuI1jMhK4+YyRR/TPtx1uls8mtBmJH3jUOXffftcjgCeB44Ai4HLnXFbztVuBbwJNwPecc/vO2drP0fTNwaDj7fV53DN3PVlF1Vx3yjB+dOZIFZdFpMtRgVmk+6iobSA2Igwzo66xieq6JqICfuoagiREh1Pb0MSCTQWMSo+jvinIO+vzWbajhJNHpjBlcB98PogOD+P5T3bzx+ZixfWnDmPpjhKyS2qIiwzjmhmZvLM+n9F942gIOj7ZUcKi7cWfydI3PpKahibKaho6+x9Dm91x/lj+On8rkeF+dhZX73Pt8ikDeW7pLvonRDI4OYaPthWREhsgPiq8ZXT5+AHx7CisJj4qnIF9ouifEMULy7Nbiukj0mKZMTyF3LJaiqvqGdgnmjPHpfPm2jwGJEbyx3e38D+nDuN/zx592NnVN0tPszG3gpzSGmaNTqMp6Hh5RTZzV+fyiwvGkldex+/f3sSHW4sI+H3UNDS1vC8xOpyZw1N4dVX7zMbuaszAo1Jkt+AzCHbAP5/7L53AZVMGHrrhflRgFulke58QrcspJyUuQFpcJM45sktr2Jxfycj0OJJjAhRW1vHkRzuobWiisLKO+Mhwgs5RXNVAckyAxJhwjh2UxJwVOazOLqOitoGS6k9vYoenxdLYFCQlNoLq+qbP7PodE/BTVd/EySNT2V5Yya7iGoalxlBcVU/Qsc8NcVS4n3PG96W8tpG31+d12j+r7mrDXWe3adT0/o5yup+f0HS/2YTWllsCXOGcW9eqzfXABOfcdWb2ZeBi59zlZjYWeAaYCvQH3gZGOuea9v+evY6kb161u5SnF+3kg62F7CquYUhKDHddOJ6ZI1IO86cVEekcKmKIyKHkldfiay5qx0aEEXShzQqbgo7ahiZKaxrYsKec+RsLeOrj0MaIN8waxjnj+7GloJLymgYeXrCNr50wiJr6JpbvKuW1VsWi1oMxJmQkcProdOaszGZrwaHXtT5jTBpvrz/yqfgd7ZgBCbzy3ZmH/T71zdLb5ZTWEAjzYUBy8yjfpqDj9TW5FFXVce4x/UiJjaCmvonV2WVc9reP+MaMIfzsvDHUNQZ5fe0ehqTE8p2nlnLfJRNIiApnXP94wn0+fL7QaNaPthVRUFHHgMQoJg9KIqe0hoF9oimrbuC/a/ZwywurSYoOp19CFFEBP1+Y0I+ahibqG4O8t7mQZTtK2vzzDE2NaXl4FRHmo64xeNC2N50+omXEcmvj+sezNqecYakxpMVFUlJdv8/MkdbOPaYvA5Oi91nj/6JJ/XlpRc4B2wNMzezD4qzPPlA8kI4cUPidk4fy/LLdFB1gQF57efBLE7nkuIxDN9yPCswivcjBlqvYX1MwtI5cIMxHwO+jtiH4mXWUqusbaWgMFcZLa+pJjolgYJ8oXPPyGe9vKWTakD6E+33sKa2lsKqOgN9HSXU9hrG1oJI31/3/9u49Rq7yvOP499m7vb7gvfi6BNvYGDAlgToxxkljNSm3VjRViQSNWkhJ+aNJk97UQqoWUimqUKuGVEnToEBR0gpKSEocK8VCQNrQEILTADUmrpeLi22M18Y37CzrXb/9Y87ak629l/HaM+fM9yONds6Zd3fPM8+cn+HdM+/s5PJzu/jdNedyaGCITTsO8OSWPpobG/iF87p5fvt+1j23g09fc0FpiY/GIKJ0JfWzr+1j886DHOgfZNvew3RPa+XZbft49zkd/PLF8/jelj6mtjTx+ce20NgQXHHhHPYcGmBh51S27jnM2R1TWTZnOjsP9HPPk68wva2Jqy+aS8+sqbzc9xYv7z5E7663WL2ki32HB+ia1sobB/pZvaSLjvYWOtpb+NpTW9mwtfT2vpsuX8im1w/woXct4Od6ZlbUn1OcYF4F3JFSujLbvg0gpfRXZWPWZ2Oeytaf2wl0A7eWjy0fd7LfV0k2P7rpDf74689x6TvO4td/vocrl8+l2auWJdUwJzEk1YK9hwY42D9I57QW2rNl5XYd7GfvoSN0T2+lo72F/iNDvLrnEOfPLS1xMfzf/UNHE0dT4vV9/QwMHeWFHfvZ89YAP3h5DzetXsjFPWex5Y2DdLS38NH7nmFJ9zQueccsmhtL/8/Q2BDMP2sKM6c08+imN1j3/A4WdbWzqKud5fNncmToKJ/59ibOnzuduTPbmDujDYDpbU28/7zZtDY3cN6c6az56yfYe/gIFy2YwW+85xzeHhziIyvPqehzZsxmqfqGjiYCTrokzr7DA/QdfJsls6ex/6dHuPfJV5gxpZnDA0O8d2kXrU0NPLllNx9732Ias0ntQwOlP9S99fYgW/ccoiGC/+zdzZLZ01izbPaxXHvm1Tf59819rFnWTVtzaRmg4eV9Rh7jkaGjDAwd5dDbgwwdTfTMOr5+9E8Hhti+7zALO9tpamzgwQ2v0dnewgcumMOug/10treSUqIh4lid33p2O49s3Mmnr7mAGW3NNDWWlhj99nM76Jk1heULZh67mO/PH95IR3sLq5d0cv7cGXx3cx9XLJ/D9LYmWhobeGHHAWa0NdPbd5DGhgZWLuqg/8gQb709yIe++H2ufed85sxoZfWSLv7+u73cce1yZk8vZeyuA/188oEfM3/mFC47t5Od+/tZvaSTszum0tTQwFefepXfed9iHn52O//6X9u587qL+cLjvXxvy26uvmgu09ua+P5Le/jwih6WzZnOizsPsmpxJ0tmT6v4NeEEsyTViFOcYL4OuCql9LFs+zeBlSmlT5SN2ZiN2ZZtvwSsBO4AfpBS+qds/z3Av6WUHjrZ76skmweHjv7MP86SVOucxJCk2mM2S1LtGW82e4mZJNW2E83ajvzL4MnGjOd7iYhbImJDRGzo6+ub8AE2NTY4uSxJkiRJUp1yglmSats2oHwl/h5g5CJSx8ZkS2TMBN4c5/eSUro7pbQipbSiu7t7Eg9dkiRJkiQVnRPMklTbngGWRsSiiGgBrgfWjhizFrgxu38d8HgqrX+0Frg+IlojYhGwFPjhGTpuSZIkSZJUB8acYI6IeyNiV7bG52jj3h0RQ9l6oZKkSZBSGgQ+AawHXgQeTCm9EBF/GRHXZsPuATojohf4Q45/uN8LwIPAJuAR4OMppaEzXYMkSZIkSSqupnGMuQ/4AvDVkw2IiEbgTkoTIJKkSZRS+g7wnRH7/qLsfj/w4ZN872eBz57WA5QkSZIkSXVrzCuYU0r/QWktz9H8HvANYNdkHJQkSZIkSZIkqfad8hrMEbEA+DXgH8Yx9paI2BARG/r6+k71V0uSJEmSJEmSqmgyPuTvLuBPx7OuZ0rp7pTSipTSiu7u7knvjM0iAAAHP0lEQVT41ZIkSZIkSZKkahnPGsxjWQE8EBEAXcA1ETGYUnp4En62JEmSJEmSJKlGRUpp7EERC4F1KaWLxhh3XzbuoXH8zD5g67iO8v/rAnZX+L15YY3FUQ91WuPozkkp5eJtG6eQzfXwGoD6qLMeaoT6qNMaTy43uQxm8zjUQ53WWBz1UKfZPLp6eA1AfdRpjcVRD3We1mwe8wrmiLgfWAN0RcQ24HagGSClNOa6yydzKv9wRMSGlNKKSr8/D6yxOOqhTmssjkqzuV6en3qosx5qhPqo0xqLw2weXT3UaY3FUQ911kONYDaPpR7qtMbiqIc6T3eNY04wp5RuGO8PSynddEpHI0mSJEmSJEnKjcn4kD9JkiRJkiRJUh3K6wTz3dU+gDPAGoujHuq0RtXL81MPddZDjVAfdVqj6uX5qYc6rbE46qHOeqjxVNTL81MPdVpjcdRDnae1xnF9yJ8kSZIkSZIkSSPl9QpmSZIkSZIkSVKVOcEsSZIkSZIkSapIriaYI+KqiNgcEb0RcWu1j6dSEXF2RDwRES9GxAsR8alsf0dEPBoRW7Kvs7L9ERF/l9X9fERcWt0Kxi8iGiPixxGxLtteFBFPZzX+S0S0ZPtbs+3e7PGF1TzuiYiIsyLioYj4SdbTVUXrZUT8QfZa3RgR90dEWxF6GRH3RsSuiNhYtm/CvYuIG7PxWyLixmrUUk1mc77OZzCbi9JLs9lsHo3ZnK/zGczmovTSbDabR2M25+t8BrO5KL00m09/NudmgjkiGoEvAlcDFwI3RMSF1T2qig0Cf5RSugC4DPh4VsutwGMppaXAY9k2lGpemt1uAb505g+5Yp8CXizbvhP4XFbjXuDmbP/NwN6U0hLgc9m4vPg88EhK6XzgnZTqLUwvI2IB8ElgRUrpIqARuJ5i9PI+4KoR+ybUu4joAG4HVgLvAW4fDvB6YDbn63wuYzbnvJdms9k8GrM5X+dzGbM55700m83m0ZjN+Tqfy5jNOe+l2XyGsjmllIsbsApYX7Z9G3BbtY9rkmr7FvBLwGZgXrZvHrA5u/9l4Iay8cfG1fIN6MlezL8IrAMC2A00jewpsB5Yld1vysZFtWsYR40zgFdGHmuRegksAF4DOrLerAOuLEovgYXAxkp7B9wAfLls/8+MK/rNbM7X+Zwdp9lcgF6azWbzGM+f2XyC104t38zmYvTSbDabx3j+zOYTvHZq+WY2F6OXZvOZyebcXMHM8RfEsG3ZvlzLLrW/BHgamJNSeh0g+zo7G5bX2u8C/gQ4mm13AvtSSoPZdnkdx2rMHt+fja91i4E+4B+zt818JSLaKVAvU0rbgb8B/hd4nVJvfkTxejlsor3LXU8nWSHrN5tzfz6bzSVF6OUws3liClm/2Zz789lsLilCL4eZzRNTyPrN5tyfz2ZzSRF6Oawq2ZynCeY4wb50xo9iEkXENOAbwO+nlA6MNvQE+2q69oj4FWBXSulH5btPMDSN47Fa1gRcCnwppXQJcIjjbz84kdzVmb014leBRcB8oJ3SWytGynsvx3Kyuopa73gVrn6zGcj/+Ww2H5f3Xo7FbD6xwtVvNgP5P5/N5uPy3suxmM0nVrj6zWYg/+ez2Xxc3ns5ltOazXmaYN4GnF223QPsqNKxnLKIaKYUxP+cUvpmtvuNiJiXPT4P2JXtz2Ptq4FrI+JV4AFKbym5CzgrIpqyMeV1HKsxe3wm8OaZPOAKbQO2pZSezrYfohTORerlB4FXUkp9KaUjwDeByyleL4dNtHd57OlkKlT9ZjNQjPPZbC4pQi+Hmc0TU6j6zWagGOez2VxShF4OM5snplD1m81AMc5ns7mkCL0cVpVsztME8zPA0ih9ymMLpQW511b5mCoSEQHcA7yYUvrbsofWAjdm92+ktI7R8P7fyj7x8TJg//Dl7rUqpXRbSqknpbSQUq8eTyl9BHgCuC4bNrLG4dqvy8bX/F+IUko7gdciYlm26wPAJgrUS0pvI7ksIqZmr93hGgvVyzIT7d164IqImJX9ZfSKbF+9MJtzdD6bzcXpJWaz2Tw6szlH57PZXJxeYjabzaMzm3N0PpvNxeklZvOZyeZUAwtSj/cGXAP8D/AS8GfVPp5TqOO9lC43fx54NrtdQ2lNl8eALdnXjmx8UPq02ZeA/6b0yZdVr2MC9a4B1mX3FwM/BHqBrwOt2f62bLs3e3xxtY97AvW9C9iQ9fNhYFbRegl8BvgJsBH4GtBahF4C91Nag+kIpb/a3VxJ74DfzurtBT5a7bqq8DyazTk6n8vqNZtz3kuz2Wwe43k0m3N0PpfVazbnvJdms9k8xvNoNufofC6r12zOeS/N5tOfzZH9IEmSJEmSJEmSJiRPS2RIkiRJkiRJkmqIE8ySJEmSJEmSpIo4wSxJkiRJkiRJqogTzJIkSZIkSZKkijjBLEmSJEmSJEmqiBPMkiRJkiRJkqSKOMEsSZIkSZIkSarI/wGrTktEAn+p5QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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",
    "    scaled_values = np.array(values) * loss_weights.get(title[:-5], 1)\n",
    "    print('initial scaled {} ='.format(title), scaled_values[0])\n",
    "    axes[i].plot(scaled_values)\n",
    "    axes[i].set_title(title)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.37349235997472474"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(loss_weights['p_adj'] * np.array(history.history['p_adj_loss']))[-200:].mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9162103292300782"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(loss_weights['p_v'] * np.array(history.history['p_v_loss']))[-200:].mean()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$\\xi$ averages and distributions for each community, real and predicted adjacency matrices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_ξ_distribution((g, l, k), q_model, q_codecs, adj, features)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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hpMWSHpe0UtKEFwJ2Y3cpkirAd4GPAPsDn4xXg24ad+OBdKDrdRCw0syeApB0BdFK0I82m6Aru3uZBzxXd7wq/q5pXNmhtEfZ/ZKW1x0PmNlAvN+orzehUmQ8ecGY/EryMhs7PpL8ezbOS16GA6CyNTfLbAya2aIxwlYBu9Udzwd+P5HM3I13L/cACyUtkDQZWEK0EnTTuBsPQJZ9A83MqpJOB24GKsAlZvbIRNJ0Y3cxZnYjcGOr0nNjh1KAsXE3dig+XOrkCVd2IEWYvODKLhEZD6oM0zu4ITHOpvk7JYZX+wIaSu1QoSvbyRNeZ4fQgUGVduDGDqUAxnY3XiJc2aG4sp084coOpAgNNFd2ichW2T092JTkZTQs5cWsPcPpEpOvXdoQd+OhuBt38oQrOwQfQSsZBTC2u/ES4coOxZXt5Ilsl9no7WFoTvIyG72vJXeSt26f/A4RoOXvNRfFaKC5skuE19mhFEDZbuwQCtLPdjdeIlzZobiynTzhyg6lAMp2YwdShAZaqrEl9QE/B6bE8a8ys69IWgBcAcwG7gNOMrPENTSGdhDPLE6evLDPN59MDN/64TelFZkt/fl/vLYdhNTZW4HDzOwA4EBgsaSDga8B55vZQuAV4OT2FbML6MCid60m1dgWsTE+nBRvBhwGXBV/fxlwXFtK6LSMoNa4pIqkB4A1wC3Ak8A6M6vGUSa8RldX0w5Vd0DZQQ00MxsGDpQ0E7gGeHOjaI3OlXQKcApAZdasJovZeYrQQBtXP9vM1gF3AgcDMyWNXCxjrtFlZgNmtsjMFlWmJ9/xctpLqrEl7RQrGklTgSOAFcAdwPFxtKXAte0qZFdQEjc+F7gsXiW3B7jSzK6X9ChwhaSvAvcDF7exnE4LSDW2mT0EvKPB908RrZxbCopQZ2c7gmbpT2sMv7gmMbxn216p2ajmgyqN8OHSUFzZJcHfEeLkDVd2AKLlE1Y7giu7RLiyQylAne3GDsT72ePOzajOqiZGqR72rsTwbTPSa08Nj6tUpcGVHUoBlO0NtBLhyg6lAMp2Y4fgj/84ecOVHYor28kTruxAilBnZ/yOEDHp5eQsp6weTAy3hf2p+WybMa5ilQZXdiiu7PJQBDfuDbScIukbkh6T9JCka0ameyfhxg6hOx//uQV4q5m9Hfgt8MW0E9zYOcXMflb3rN2viJ7KScTr7FC6u87+G+BHaZHc2AG0cYXDfknL644HzGzg9XylW4FdGpx3rpldG8c5F6gCl6dl5sbuLINmtmisQDM7IulkSUuBo4HDzSz1cszU2CawlKVH9cr6xPDKa+mDKpWt4ylVIF3mxiUtBs4GPmBmm0PO8QZafvkOsB1wi6QHJF2YdoK78UCU7iUzxcz2Hu85buwQ/PEfJ2+4sgPxsXEnV7iyQymAsjN+F6dR3T75cY1tCxoNGP2BWvJqmG3D3biTK9yNh+LKdvKEKzsEfyLEyRuu7FAKoGw3dgD+ekYnd2Sr7JroXZ88e2HLLn2J4dW+9GU2apPGVaowuuwWZzO4skuE19mBFKHOdmOH4JMXnLzhyg4kbZ30PODKLhGu7FAKUGe7sQPx1vh4MSCl7pt2zbLE8OElB6dms3lnr50a4coOwfARNCdfuLIDKUKd7couEa7sUAqgbDd2AD55wckdruwQzArR9cr+hTD92xKjDB/6zsTwWkiJ82+XtuDKDqQIdbYbO5QCGNsbaCXClR1IEdy4K7tEuLJDMKCWf2m7sUPJv60zNnZV9L6c/LjG5AcfS05j/r6p2aQtmVlWXNmBeAPNyRWu7FAKMDbuyi4RruxAilBnu7FD8Af7nLzhyg4gmpaUf2kHG1tSBVgOPG9mR0taAFwBzAbuA04ys6GkNKasq7Hg2uTXWbz0w52SC/Lj9GU2pg4W4JHLNjAeN34msKLu+GvA+Wa2EHgFOLmVBes6am3YMibI2JLmAx8FLoqPBRwGXBVHuQw4rh0F7BZk1vIta0KV/W3gC/zhetwRWFf3esBVwLwWl81pManGlnQ0sMbM7q3/ukHUhpeqpFMkLZe0fFt1U5PF7DDd+eLVcRPSQDsEOEbSUUAfsD2R0mdK6o3VPR/4faOT49cNDgBsP2Ne/pu0OSZV2Wb2RTObb2Z7AkuA283sBOAO4Pg42lLg2raVsuPYH+aOt3LLmIkMqpwNfE7SSqI6/OLWFKk7kbV+y5pxDaqY2Z3AnfH+U8BBrS+S0y4yHUFTzahsTn4iZGs1eZrJ1OT3yQDQU02PM24KMILmY+MlwsfGQzBf9M7pAiR9XpJJSn2xuCs7lC6ssyXtBhwJPBsS35UdSneOoJ1PNIwdlJoru7P0S1pedzwQjzimIukYotvND0b3pdJxYwfSprtUg2a2aMw8pVuBRi8nPRf4EvCh8WSWqbG3bVdh9ftnJsbZ8HLi/Ac0K/0q7qmGXendjpkd0eh7SW8DFgAjqp4P3CfpIDN7Yaz0XNmhdFEDzcweBnYeOZb0NLDIzAaTznNjhxCwwG4ecGMXgPiOZCpu7ABEZ6YRtRrvZ5cIV3YoBVC2GzuUAhjb3XiJyFTZldeMmSuTJy9smZO8DIcFlNha3U0qSNfLlV0ivM4OxLteTq5wZYdSAGW7sYMoxuLy7sZLhCs7BH9jn5M3MlV2z5ZtTH+44cOerzN0bPJj3ts9nb4wae+WNqiwAIMq7sYD8X62kytc2aG4sp084coOwV8bUSZ8BM3JGZkq2/omsXXvOYlxKtsnPxEyPGVaekbteCDEle3kCa+zQ3FlO3nClR2Cd73KhLVhymr2uBsvEa7sULyB5uSJTJVdq8DQDslZTpu2ITG8d8vU1HxavkCdN9BKhrtxJ0+4skNxZTt5wpUdRDHuZ7uxQzCg5iNoTo5wZYfibnx8yKCnmvynbd48JTG8Z3rA2qXb8m+YduDKDqUAyvY6u0S4soMwHxsvDQbmkxecPOHKDqUAbtyVXSJc2aEUoOuV7TIbQzWmPr8pMc4us19LDK+91JeeT8rAzbgx87FxJ1+4Gw+lAG7clV0iXNmBWAHqbDd2EMWYqeJuvES4skPwhwSaYHiYnleSn/h4Ye2OieGzpqVPXujdMq5SlQZXdih+18vJE27sAAywmrV8myiSzpD0uKRHJH09Lb678RCs+1ZekPRB4Fjg7Wa2VdLOaee4svPLacB5ZrYVwMzWpJ3gxg6kC934PsD7JS2TdJekd6ed4G68s/RLWl53PGBmAyMHkm4Fdmlw3rlEtpsFHAy8G7hS0l5mYw/1ubFDaU+dPWhmi8bM0uyIscIknQZcHRv315JqQD/w0pjnJFwILUfSS8AzdV/1A4NtyCok3T3MbKeQxCTdFKfZagbNbHEzJ0o6FdjVzL4saR/gNmD3JGVnauw3ZC4tT7qyuy3dbkLSZOAS4EBgCPi8md2edI678ZxiZkPAieM5x1vjJaLTxh5Ij9JV6eaajtbZTrZ0WtlOhmRibEmL4wH7lZLOaRA+RdKP4vBlkvYMSHM3SXdIWhHfCDizQZxDJb0q6YF4+3JrflFOMbO2bkAFeBLYC5gMPAjsPyrOZ4AL4/0lwI8C0p0LvDPe3w74bYN0DwWub/dvzMuWhbIPAlaa2VNxd+EKors19RwLXBbvXwUcLilxSoqZrTaz++L9DcAKIPmtrSUnC2PPA56rO17FG43yehwzqwKvAsnzk+qI3f47gGUNgt8r6UFJP5X0lvBiF48sBlUaKXR0FyAkTuPEpRnAj4HPmtn6UcH3EQ2LbpR0FPA/wMKQdItIFspeBexWdzwfGP0S7dfjSOoFdgDWpiUsaRKRoS83s6tHh5vZejPbGO/fCEyS1I4x7lyQhbHvARZKWhCP5y4BrhsV5zpgabx/PHB70oA+QFynXwysMLNvjRFnl5G6X9JBRL/35aZ/Sc5puxs3s6qk04GbiVrml5jZI5L+FVhuZtcRGe2HklYSKXpJQNKHACcBD0t6IP7uS8Ducb4XEl04p0mqAluAJWkXUZHxEbQS4SNoJcKNXSLc2CXCjV0i3Nglwo1dItzYJcKNXSL+H9JduiaG40FOAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 288x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1728x576 with 12 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_predictions_softmaxmultinomialfeatures(vae, adj, labels, features)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for layer in vae.layers:\n",
    "    if hasattr(layer, 'kernel'):\n",
    "        fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(6, 4))#, sharey=True)\n",
    "        im1 = ax1.imshow(K.eval(layer.kernel).T)\n",
    "        ax1.set_title('{} kernel'.format(layer.name))\n",
    "        plt.colorbar(im1, ax=ax1)\n",
    "        if hasattr(layer, 'bias') and layer.bias is not None:\n",
    "            im2 = ax2.imshow(K.eval(K.expand_dims(layer.bias, -1)))\n",
    "            ax2.set_title('{} bias'.format(layer.name))\n",
    "            plt.colorbar(im2, ax=ax2)\n",
    "        else:\n",
    "            ax2.set_visible(False)"
   ]
  }
 ],
 "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
}