Tuto-GUDHI-cover-complex.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "# Topological Exploratory Data Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Mathieu Carrière, https://mathieucarriere.github.io/website/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "from gudhi.cover_complex import MapperComplex, GraphInducedComplex, NerveComplex\n",
    "from gudhi import bottleneck_distance\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from tqdm import tqdm\n",
    "from mpl_toolkits.mplot3d import Axes3D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "verbose = False # set it to True for debug information"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this notebook, we will see how to use Gudhi in order to perform topological dimension reduction: we will compute simplicial complex approximations of point cloud / distance matrices. These complexes will be either [Mapper complexes](https://diglib.eg.org/handle/10.2312/SPBG.SPBG07.091-100) or [Graph Induced complexes](http://web.cse.ohio-state.edu/~dey.8/GIC/gic.html). Both complexes use covers of the initial space (such as Voronoi partitions or preimages of filter functions), and use these covers to generate simplicial complexes, either by taking the nerve (Mapper) or by checking the presence of colored cliques (Graph Induced). "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Gudhi can handle both point clouds and distance matrices. Let's start with a point cloud."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Point cloud"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Load an example point cloud."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "X = np.loadtxt('datasets/human.txt')\n",
    "X = np.hstack([X[:,0:1], X[:,2:3], X[:,1:2]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def set_axes_equal(ax: plt.Axes):\n",
    "    limits = np.array([\n",
    "        ax.get_xlim3d(),\n",
    "        ax.get_ylim3d(),\n",
    "        ax.get_zlim3d(),\n",
    "    ])\n",
    "    origin = np.mean(limits, axis=1)\n",
    "    radius = 0.5 * np.max(np.abs(limits[:, 1] - limits[:, 0]))\n",
    "    x, y, z = origin\n",
    "    ax.set_xlim3d([x - radius, x + radius])\n",
    "    ax.set_ylim3d([y - radius, y + radius])\n",
    "    ax.set_zlim3d([z - radius, z + radius])\n",
    "    \n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(projection='3d')\n",
    "ax.set_box_aspect([1.0, 1.0, 1.0])\n",
    "ax.scatter(X[::2,1], X[::2,0], X[::2,2], s=1)\n",
    "set_axes_equal(ax)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will use the height function to color the complex nodes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "height = X[:,2]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We next provide different configurations for computing cover complexes:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Graph Induced complex with a Voronoi partition with 100 randomly sampled germs and Rips graph obtained with automatic threshold. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "cover_complex = GraphInducedComplex(\n",
    "    input_type='point cloud', cover='voronoi', min_points_per_node=0,\n",
    "    graph=\"rips\", rips_threshold=None, N=100, beta=0., C=10,\n",
    "    voronoi_samples=100, verbose=verbose)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "_ = cover_complex.fit(X, filter=height, color=height)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Graph Induced complex with a preimage partition with automatic resolution and Rips graph obtained with automatic threshold. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "cover_complex = GraphInducedComplex(\n",
    "    input_type='point cloud', cover='functional', min_points_per_node=0,\n",
    "    graph=\"rips\", rips_threshold=None, N=100, beta=0., C=10,\n",
    "    resolution=None, gain=0., verbose=verbose)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "_ = cover_complex.fit(X, filter=height, color=height)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Mapper complex with a preimage cover with automatic resolution and hierarchical clustering obtained with automatic threshold. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "cover_complex = MapperComplex(\n",
    "    input_type='point cloud', min_points_per_node=0,\n",
    "    clustering=None, N=100, beta=0., C=10,\n",
    "    filter_bnds=None, resolutions=None, gains=None,\n",
    "    verbose=verbose)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "_ = cover_complex.fit(X, filters=height, colors=height)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Distance matrix"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can actually compute the same complexes using only the pairwise distances between points."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import pairwise_distances"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "D = pairwise_distances(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "plt.imshow(D)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This time, color is given by eccentricity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "ecc = D.max(axis=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Graph Induced complex with a preimage partition with automatic resolution and Rips graph obtained with automatic threshold. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "cover_complex = GraphInducedComplex(\n",
    "    input_type='distance matrix', cover='functional', min_points_per_node=0,\n",
    "    graph=\"rips\", rips_threshold=None, N=100, beta=0., C=10,\n",
    "    resolution=None, gain=0., verbose=verbose)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "_ = cover_complex.fit(D, filter=ecc, color=ecc)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Graph Induced complex with a Voronoi partition with 100 randomly sampled germs and Rips graph obtained with automatic threshold. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "cover_complex = GraphInducedComplex(\n",
    "    input_type='distance matrix', cover='voronoi', min_points_per_node=0,\n",
    "    graph=\"rips\", rips_threshold=None, N=100, beta=0., C=10,\n",
    "    voronoi_samples=100, verbose=verbose)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "_ = cover_complex.fit(D, filter=ecc, color=ecc)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Mapper complex with a preimage cover with automatic resolution and hierarchical clustering obtained with automatic threshold. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "cover_complex = MapperComplex(\n",
    "    input_type='distance matrix', min_points_per_node=0,\n",
    "    clustering=None, N=100, beta=0., C=10,\n",
    "    filter_bnds=None, resolutions=None, gains=None, verbose=verbose)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "_ = cover_complex.fit(D, filters=ecc, colors=ecc)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# More than one filter"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Mapper complex with a preimage cover with automatic resolution from a 2D function and hierarchical clustering obtained with automatic threshold. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "filt2d = np.hstack([height[:,np.newaxis],X[:,0:1]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "cover_complex = MapperComplex(\n",
    "    input_type='point cloud', min_points_per_node=0,\n",
    "    clustering=None, N=100, beta=0., C=10,\n",
    "    filter_bnds=None, resolutions=[20,2], gains=None, verbose=verbose)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "_ = cover_complex.fit(X, filters=filt2d, colors=filt2d)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Visualization"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can visualize the complex in three different ways with Gudhi."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. You can use Python package `networkx`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "G = cover_complex.get_networkx()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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eP4u5uSewofwF/nqq7W+//cY+++zDa6+9xtNPP8uBQ3/AMFIJPVQauN1DiIu/J8Q6QgjRchIohWiiaHeOY8PdDQyc+CtpKA/ZcefZXre9qqyfz/zN46jxr6T581qDaAKsLX2EFcW3obVFIBDg3nvvZejQocTFxTF37lyuuOIKXK5MkjtNxjSzCeW/u9szlMSUt1GyVZAQog1JoBSiiWI9Ts9BVHSKOsL2qr2TbsfrSrO9bntU61/LgrzzCOpaQt0eKr/qPeauuY3hw4fzr3/9i9tuu42ff/6ZPn3+WBxlujqTkvo1UdEX0bDgq6m9lSbgJjb+XySl/A/DiAmprUIIESpZlCNEE0V7euM2EvFbpQ5dIUjXuMtQuCio+YLQV30rUqOOISNmnB2Na/e0DrKs8MYtYdKeTearjfdJzNBMnz6dYcOG7fA1yogiLuFuIqPGUV39CnU1HwB+GkKjouH7QG1pk4VSsURGn01U9AW4XNm2tFMIIUKl9F8n+gghdmp16ROsLX8eu0+1sSxwW90Z0fMLLO1jUeFNFNZ8GVLNTlFHsVen/8NQbpta2b7lVrzOqhJ75yFaFnhdaRyQ/W2T5+BaVgV+3xz8/gUEA2vQ2t+wIbq7N273INyewSgVYWs7hRAiVBIohWiG+kA+v2wahaXrba99z9W5dE44kXvvvZdu3bqwvuIVVpc+tuWox6YNvwaDYBkePJ7h+LSXovpl+IJVKBReM46UiP6kRu5Fj9hRxLjTbb+HcKV1kJkbh+ML5jtSv0/Ko6TGjHGkthBC7AkkUArRTBsrJrLcxp4shUlixMHMnLIf//rX3RQVFXHllVdyxx13EBlXzuqyxymo+gqtLQzTZPveURPQ1AVN1hZ5iUiM3LJfpsX2w+YKhUKjyY4eyn4pV5Do7W7bvYSrkpppLCq4xKHqBrGegeyd+YFD9YUQou1JoBSimbS2mJd/EaV1Mwh96NvEbcRxQOZkvK40yiqLmPDGQ7zzwUSsoOb0Ey/k6kv+welnHcW+I+C0cw6kwvc7gWAZAC4zgVjPQAp8dayrWYgVtDDMpm1srbYsANkn5WIGJp6FoezaEzH8rCy+i7zKdxxdxT+0y1w5/lII0W5JoBSiBQJWNfPyL6Si/ndaGiq1NnCbsfRJfowNNQtYUzWNSn8uf+1VrKsKsuy3cgalnsoFJ925TfDzWzVM3XQz+bW/b/e+5ugWcziHZdyFoTrmOr05uSdS7Vvk6DUGpr1BQuRQR68hhBBtRQKlEC0UtGpZVnwPedWTaNiBq+nBUmtYu9Iiq+cJ5PpnojC2DFHv5FoBC9NloHyxjOp2F51jDsLSAb7ceAN5tfN2+d6mUeTEHsmI9Ds75NF9P60biKVrHbyCokfSXWTGjXfwGkII0XZkH0ohWsg0Iunf6UEGpU4gwpWx9dFdvKMhqJkqCg9jqI5LZlP9TIDdBkLT1fBXNWhWMDX3Jt6fdx3zi99gc+0cG8JkQwtWV37FqsrQVpaHK+eP1TSwdJ3D1xBCiLYjPZRC2EBri5K6n9lc+T5l9bPxBQu2ed5U0cR6B5IefTx1Op7v8+5Da2trxmw2K6hRhsLezkSFW0VySve3iXIl21l4j/fj2v5onAyVipykO8iSE4uEEO1Ux5wwJYTNlDJIjjyE5MhDAPAHS6kPFgFBXEYcXjMDpRQFtQv5fsNVDVsBhRAGDVNtOSvazkSpCeg6lpZ9xD4pF9lYd88X4cqiNrDGwStoIl1dHKwvhBBtS4a8hXCA20wkxtOLGE9fIlyZKKUIWPV8n3cPDYtnQh8YcGKuo8ZiSfkkLO3kmeV7nljvEJp+7GHLxHgGOFpfCCHakgRKIVrJ7yVvUOnfbNOcR+fUB8sprFvc1s3YqYBVT32wgoBl35zEhMiDCPXs7p1TRLi64HF1cqi+EEK0PRnyFqIVBKx6Fpe9jx09k85TFNUtIy1yUFs3BGjYGmlVxVQ2Vv9KYd1iaoPFjc9FmIl0iuhPZtR+9Iw7Gq/Zsn0eU6KOYbl1JxjOLJzJjD3HkbpCCLGnkEApRCtYV/U9PquqrZvRJAqD0vpVbd0M/FYNc4tfZknZhwR1/Q63VqoLlrKh+mc2VP/Mb0XP0jvuBPZNuaRZwXLevHncdtttdBm4mTMvTcSweeTbUJGkxoy1t6gQQuxhZMhbiFaQWzOr8WSaPZ3Gwm/VtGkb8mrmM2nteBaVvktwy7npO58q0DAn1dJ+lpV/xKS1Z7OpeuZur7Fy5UrOPPNMhgwZwsqVKzli/8eJ8GRg98dij6Q7cZvxttYUQog9jQRKIVpBQd1itGNz9OylUKg2PIZxbeX3fL7xGmoCRc2eb6qxqA2W8uWmG1lR8fkOX5Obm8vll19Ov379mD59OhMmTGDRokWcOu4c+nT6jx23sIVBYsQI0mJOsbGmEELsmSRQCtEKKv2b2roJzaCIcaW1yZVza2YzbfOdaKwQFi819FhOz3uAdVXTGx8tLS3l1ltvpWfPnrz33ns8+OCDrFixgksuuQS32w1AQsSB9El5hIbtmEJZRW8Q6xlIv9QnO+TJQ0KIjkfmUArRCsJpGx5NkOSIPq1+3fpgJd9vvntLkLRn8dL0vPuJSX2RCc+8wUMPPUQgEODGG2/kpptuIj5+x8PQqTEnYhpRLCu8maCupXmrvxWgSY4aRZ+URzCNKDtuQwgh9ngSKIVoBaZyE3T8eD/7pEa0/p6JvxU+S12wDPtWwmvqA9Xc9/ZxPHPXEi6//HJuv/120tJ23/uaHDWK/bKmsqL4Tkpqv6Zhj8pdBcuGs9xdRjw9k++mU/RxNt2DEEKEBwmUQrSCeHcXSnwr27oZu6UwyYran2h36+6ZWBMoZkXFZ7bv0akMzYDDYpm3bDr9ux/YrPd6XKnslfY81b7lbK58i6Lqz/Fbxdu9TuEi1juYjNizSIk+GkN57Wq+EEKEDQmUQrSCTpH9KfWt2eMX5miC9E8c1+rXXV7+CU7t0Wkog6qYWUDzAuVW0Z7e9Ez+Fz2T/4UvWES1bxlBqxqlTLyuTKLcPTGU295GCyFEmJFAKUQryIo6gGXlU9q6GbukMOgcPYysqJYFr1Csr5ru2AlCGot1VT9wQKerQq7lMVPwRKbY0CohhGhfJFCKDqsmUMXmuvXUW7UYmMS7k0iNyMJ0YMucLjGHEGEmUhcstb22HRQGbiOKg9NubvVVyZYOUOLwRuqV/lz8Vg1uWSQjhBCOkEApOpSi+jxmFH/NvLKfKfNvPx/OpVxkR/VkaPKRDIo/CJdhz1CmoVwMSDyDWUXPY+fQrhXUKENtCYEtq6swMJSb0Vn/R5Qr2ba2NVWlfzMWfoevoin3rScloq/D1xFCiI5JAqXoEKoDlUze9Cpzyn7EwMDayfBqQAdYW72MNdVL+ch8lZOzLmTvhGG29NoNSDydVRVTKfOttW0upWEqvpxQxPCzEvFEGJiu5rbTwGsksFfy1SyvWsO0wm+oDJShtUWUK5aMiG50jupBTvRetoXrvwpYzpyf/Vd+q7ZVriOEEB2R0lo7MxNeiD3E8srfeXPdk9QFq3caJHesoddvQPz+nJF9FRFmZMhtKa1fzZT1l2zZQijUv3qKvvEn0s9zESeffjSDTq5g7yOSQRugdn2fCpOgDrJhfRLRnTtT4i9oOCEH1fhnpLZs7q2xiDJjODD5KA5OOZYYl73HCJbWr+bDdefaWnNHjst+jrTIgY5fRwghOiI5KUe0awvLf+PF1Q9SG6xqZpiErYFvUflsnl91N3XB0M+3TvTmMDrrEUzlRoX41697zOEclHo9FRUV/PbTQvK/G8jbt1bxy5R8rOAfPZUKY5truVQEqVGHs7a8K3Wd3JT4CwDQ6G3+jPSWRwBqglV8V/Ah/1l2Db+X/RxSu/8qxp1OaKfSNE2sO8PxawghREclPZSi3dpQs4qnVvwTy4bhZYVBz5j+XJJzO4YK/feworqlTNt8J5X+zeyop7LeclFjeai3XPi0C0srFBqPEcRrBBgYfzhHZtyEabg4+eSTmTlzJkuWLCEyMpJHH32Ue++/m/77ZnDTvy6k38AclFJEmIkke3uzomolH26awNbex+b+SYBmaPLRnJB5oS1/Fps2beKLwotQUVUh19qZCDOBs3p84lh9IYTo6KSHUrRLAcvPW+ufQtu0AEZjsaJqITOKv7GlXkpEX07u+gYDE8/EVB5AoTVUBb1srE9koy+JkkA01ZYXv3YRxCSAixrLS1kglh+KZ/LE8ut4adr/8dHkj3jssceIi4vD7XZzyy23sGD+IlIi+3D6YXdw50XvEl91MD3jjmJV9RombXphm97H5v5JAPxS/AVTNr1ES34f1Vozb9487rnnHvbbbz86d+7MDx+vwnJoi06FSUbkPs4UF0IIAUgPpWinvs6fxJd579oWKLdyKTe393uGWLd98wjrg5UsKP2Q7wo/p9RfT0Noa/oQcNXaIHeMfpZOEVnbPK615v333+faa6+lsrKSOx+9ldID57dg6H/nTs++hiGJw3f7Op/Px3fffceUKVOYMmUKGzZsIC4ujmOOOYYxY8Yw9MheTCu73rZ2/dUxnZ8kI0pCpRBCOEUCpWh3gjrAPYsupzpYaXttheKY9DMYmXaSbTUL6jby0uo7qQ5UtKjXUGHgUm7Oz/kn3aL7b/d8eXk5d/zzdqqHLyOlRxyGad98Ra8RyY19niTOnbjdcyUlJXz22WdMmTKFL774gsrKSrp27cqYMWMYM2YMw4cPx+PxNL7+4/WXUVS31NbThBQGcZ5sxnZ9s9X31xRCiI5EAqVod34v+5XX1z3qWP04VxL/7P+sLQGlxJfP8ytuaeGioT8oFKZyc3GPe8mO6rXd83NLf+CdDU+G0tQdMjA4KPloxmRdCMCqVauYMmUKkydP5scffyQYDLL//vs3hsiBAwfu9M+tpH4Vk9ddaPPxlIrjs58jNXKAjTWFEEL8lexDKdqdlVWLMDBtWYyzIxWBEkp8hSR7U0OqY+kg76x7NOQwCQ0rsoM6wNvrHuG6Pk/iMSK2ef7nos9oWNZj7++PFha/Fn3Fz88t4+MPP2Hx4sV4vV6OOOIInnnmGY4//niysrJ2XwhI8vZgn5SLmV30gm3tG5h4poRJIYRoBRIoRbuzvmaFY2Fyq421q0MOlL8UfcbG2hU2tahh4VCFv5gvN7/BCVmXND5e4stnQ+1K267zV0Hl59ulH3PAAQdy3333MWrUKGJiYlpUa1DieCp9m1leEeq554ruMSPZN+WyEOsIIYRoCgmUot0pqs9ztL6BQXGI1/BbPr4teNemFv1Bo/m1+EtGpJ5CnDsJgI01zp6TrbTBnU/cwvFZ54VeSykOTruJSFcC80teR2E0c16pAVj0TxjHAZ2uxnDgXHYhhBDbk22DRLvjdO8kKAI6EFKFReW/UBestqk9f6WZVfJ1479tql2NgXPBSiuLTXWrbaunlMG+KZdyfPbzxLozGx7bzUfV1uejXSkc3fkJDkq9VsKkEEK0IumhFO2OS7nxUe9Y/UDQz0P3P8Qdvz5M586dt/nKyspq/GdERMROa8wvm+7InEZo6KWcX/oDI9NOA6DGgdXuf1UdKLe9ZmrkAMZ2m8jG6hksKfuAzTVzsfBv9zqFSVrkYPonnEKXmIMxlHysCSFEa5NPXtHupEV0Zk31UsfqG6bB0L2Gk1dbzsaNG/n222/ZtGkTZWVl27wuJSVlm5D55691qUsdCZNbFfk2M3PODPI3FbI0YilWp6DD4xHObMljKJMuMQfTJeZgLB2g1LeGct96gtqHiZs4TzaJ3hxM5Xbk+kIIIZpGtg0S7c7HuW8wvfBzR4e+7+z//HZ7L1ZVVbFp0yY2bty4zdefHyssLCQqycN1045zrG1bvTr+O3IXlDLi2gEccG4vDJdzibJH9AAu6fEvx+oLIYTYs0kPpWh3+sQO5vtCp85tVqR5s3a4kXdMTAx9+vShT58+O313XV0dSzbO5/2ahxxq3x8mvPI8+2QeSoF3NW9vfMyx6xiYdI7q4Vh9IYQQez5ZlCPanZ4xA0jyhLalz85pDul0dIvfHRERQZfsrja2Z+f69O5DRkYGXWJ6O3odiyCdI3s6eg0hhBB7NgmUot0xlMHI1JNsr6tQRJux7JNwaEh1Ylz2nQO+K7HuBAASPZ3oGtVntyulW8prRNI3Ts7JFkKIjkwCpWiXDkg6nO7RfTFs/BbXaE7LvgKvufPV203hNSNJ9KTZ1KodM5WLFG/nxn8flnJsi84J3x0Dg/2TjsRteG2vLYQQInxIoBTtkqEMzsi+Cq8ZaVPPnOKApJHsFb+vDbWge3R/x/aGVCiyInti/mkfxgHxB5EVmWNrwAaFx4zkMAd6g4UQQoSXDhsotdb4Ahuoqv2Oytovqaqdhi+wFln03n4ke1O5LOcOvIY35CA1KP5ATul8sU0tg30SRzq2Cl2j2T9p1DaPmcrk9OxrAIV93+KasVmXtdoQvhBCiD1Xh1rlrbWmxjeT0srXqKqbhqUrtnuNoaKJjjiUxJjziPYeglIdNnO3C52jcrim1/28ue4JcuvWNeu9BgYazRGpJzM6/VQMG78XukX3p5M3i6L6XNv3o4wwohiYMGy7x1M8mVRMjST6yEpAhbx15CEpJzBoB9cRQgjR8XSYfSjrfEvJLbmOOv8CwIRd9g41PO9x9SIr6TEivUNap5HCMUEd4LuCj/m2YDL1Vu0uT6kxMLCwyI7swSmdL6ZzVI4jbVpVtYCXV99le91jki/kkKzjt3ksGAxy8cUX89prr/HYh/eQ3/13AKxmzqvc+uc2otOJHJ0+HqWc2dBcCCFEeGn3gVJrTUnlC+SXP7DlkeYMM5qARUrctXSKu1F6K9sBn1XPvLKf+b1sButrVm1zLKHCINWbSU5MPw5MGulYkPyzyRtf4LeSqfb0UmrFuplFzHhoE++++y777NOw8joQCHDBBRfw1ltv8frrr3P22WezuXYt72x4kry69WitqLNc+CwTv2WitQKlcSkLtxHEawRwGxYKRZQZy7jsK+kXt1/o7RVCCNFutOtAqbWmoPwBiiufDblWQvSZZCQ+Ij0y7Ux1oIK6YC2GMolxxeE2PK16fb/l4/U197GmelFIodLAINmbwSjjEs4780IWLFjAI488wuWXX855553He++9x8SJEzn99NMb37OhZiNvrn2NJZVrtlx56/W3fo//8e8RBhyYPIgzss8nxh3X4nYKIYRon9p1oCypfIW8sjtsq9cp7iY6xV9vW71d0TpI0KpEE8RU0RhGaFvViD2X36rnf+v+j6WVs1pcIyuyJ+d1v4NoVxz19fXccsstPPHEE2RmZlJQUMA777zD2LFjAQjqIJ/mfsmkTR+hddOGvbcOdfeJ7cWlOReSGtGpxW0VQgjR/rTbQFnvX83qvCPQ+GysatA97TMiPQNtrPmHGt8Kiqrfo6LuN2p8S9DUb3lG4XVlE+MdQlLUsSRGjkSpDrWeqt3TWjOr5Gs+zX2ZgPZhaU295aLG8lAfdOHTJnpLz6GJhdcIEGEGiTV9jM44nUM7nbzNNkH19fUMHz6cmTNnkpKSwpQpUxg6dCi1wToeW/YUSyqXtaidBgYuw8UNvf/GXvH9bLl3IYQQ4a/dBsq1BadRUz+D5s2Z3B0Tr7sPOWlTbR36rvYtZl3J3VTWz2TXC4YannObqXSOv5ZOMWfKEHw7U+Uv490Nb/Jj8TzqLcX2w9BbaUBhKoNhyQdxevbJJHoSgIbzwk855RS++eYbXnjhBSZMmMCvv/7KvQ/ei/9YWFW1ptmLcf5MbbnuLX1vpG+cs8c6CiGECA/tMlDW+ZexOm+kY/W7pX5IlPeAkOtoHWRT+TNsKn+ChsDQvPAb6z2IHimP4nVlhNwW0fYq/ZW8tOZNfiuds8tV6H9lYOAxPFzQ/Wz2iRrESSedxPTp05kyZQqjRo3C7/dz1113MbXmW/qevhfKCP2XEIUi2hXNw4PuI9YdE3I9IYQQ4a1dBsq80jspqXoVe3sntzKJixpD5+SnQ6qidYCVRddTUvMptHgxhonbSKJ/+jtEuLuH1J7mClh1lNSvpDpQiMbCraJI8vYgytVJek1boKi+mPsWP0KxrzSk3sPKb0v45r4v+OSTTzj88MMbH19WuYL7Fj0U8t6Tf2ZgcGDyflzZ81L7igohhAhL7TJQrtw8Al9gpWP1TSOFPlnzQ6qxuvgfFFa9Q8vDZGNrcJspDMz4BLeZEmKtXfNbNayqmMrS8smU1q/a4dnQXiOO7rFH0C/hZBK9zm+70xTVgQo21CxnU+0qSn35BHUQj+El1ZtNVlQPOkf2wmW426x9lf4q/rnoforrS0IKk1sdGBjCNQdfuc1j9yx6kFVVq7Fs3kQd4P6Bd9ElKtv2ukIIIcJHu1vZYVm1+AKrHb1G0CoiECzEZbZspWtJzVQKq/5nV2vwB4tYU3w7vTo970jvoNaa5eUf82vhUwR0LQ3dXDsOJvVWBcvKp7C0/EO6RB/KsLSbiHIl296mplhXvZRfij5lUfkvWFiNxy82zD5UaCw0mggzmgOSjuKg5KOJ9zgbynfk1bUTbQuTADNd81hVtYYeMQ291htqNrKiapUttf/KwOCb/O+4oPs5jtQXQggRHtrdTt3+4Caw6QfzrvgCa1v0voBVyZriW7F17JEgpbVTKa35wsaaDeqDFXyx8Xp+Knh4S5iE3fWq6i1TDTZU/8QHa89ifdVPtrdrV+qC1Xyw4WkmrLqtMUxCw/Y4FhYaC4tg4xzFumA10ws/4tFlV/Nr8RdY2vnvn61mlcxjRsks28IkNITlZ1e9SMAKAPBz0a8hn2W+MxYWPxXNaNU/MyGEEHuedhcotbZzmyD7r1NUNYmAVUboQ91/ZbCpPPQN3P+sLljOpxuuJK92Tover7HwWzV8nXsrqyu/sbVtO1NYt5Enll3L3NLvgKYfLaixCGgfUzZN4M21/8Zv1e/+TTb4cNPHKFt/uWi457y6AmaXzgPYMtTtXOCrt+rJrytwrL4QQog9X7sLlEq1zgbgTz/9Is899xxTp05l1apV+P3+3b5Ha01+5asOtciixr+Qqvrf7ammg3y96RbKfet3OFey6RqC8/eb76agdqEtbduZovpcJqy6napAWUhtXl45mzfWPkjA2v1/01CsrlrL2pr19hy7+BcKxZd5DSF+TfU62+v/1dqa9Y5fQwghxJ6r3c2h9LiyATfgbBh48/XvWbL4DYLBhuFd0zTp0qULPXr0ICcnZ5t/9ujRg7i4OOoDG6lr4VB505iU1X5HjHdQyJUWlb5LQZ1dAbBh1uL3efdyctfXcRlem+r+IWD5eXPtg9QFq0PujdNoVlct4Ku8iRyTeb49DdyBWaVzMTAc6T3UaJZVraTKX0WdVWd7/T9TKKr8VY5eQwghxJ6t3QVKpdxEuPtS51/g2DXcZmcW/P4rgUCA9evXs3r1alatWsWqVatYvXo1M2fO5O2336aysrLxPcnJyZxyVhYX3uhYswCLal/oPZQ1gSJmF02woT1/0FhU+nNZUPoWQ5IvsLU2wLSC9yisz8WuqQQazY9FU+gffxBdo/vaUvOvVlWtdXQoGuD1LydCK5ySKFtFCSFEx9buAiVATOQo6vyLcGZxjklM5CgAXC4XOTk55OTkcOSRR27zKq01xcXFjSFz1apVJHT+hmCgAtOxP3VNjW9JyFWWlU9pXFhjL83isvcZlDQeU9m3TU+Fv4TvCyZh97xUhcFnuS9zRa+Hba271bqaDY7U3UoHLZ6c+DSDLxqCJ9bj3HXQxLpkc3MhhOjI2mWgTIw+i6KKxx2qHiQp5rzdvkopRUpKCikpKRx44IEArC91k1fxEtrB4XhLhza8qbXFkrIPQ5w3uXP1wXLWV/1I99jDd//iJppV8jX2L3Jq6FXdWLuS3NrVZEbav6emz+GFP6bp4s57/sn6wAYWVYT+i8audIvu6mh9IYQQe7Z2GSjdrgzio8ZSXvMhdp/lHR0xAq+7V4verZQLJ4LPn+XnF9H7iN6kpaWRlpZGenr6Dv9/WloakZGR272/wr+RumCpY+0zcJFXO8/WQDm75BtHFrYAGJjMLf2u2YFSa01paSl5eXk7/Uq6LQsz0tm/gtFRMfTSPVhSscyx4fVIM5JUbyuMqwshhNhjtctACZCWcBdVdV8TtMqxK8Qp5SUz8d8tfn+EqwuagC1t2RGtwUUWJ554MHl5eeTn57NixQry8vIoLCzkr4cixcXFbRM009PT6bZfkMShjjURiwCFtYtsq1cdqKDMX2hbvb+yCLK+eukf16uu3mVI3PqVn5+/3cr/mJgY0tPTG7/c9W6sSOd+wbCwSPYm0SO6Gx9t+sSRaxgYDO90sMyhFEKIDq7dBkqXmURm0pNsKNr98HRTZSY+hNuV1eL3R3sG2NaWHVHKRZ8exzH6kdu3ey4YDFJUVNQYdvLz87f7/8uWLaPA6+PI/ZMwXc7tKFVWv4ENGzbgcrl2+tXUgJJb6+ypSADrK1bQq3dP8jbnU1W17Wpmt9u9TUgcMmRIYzj/81daWhoxMdvOM5yw+lV+LPyFoIMLc3Kiu5IRmU6/2L4sq1xuey+lhcURqYfZWlMIIUT4abeBEiA28ggykx4nt+Q6Gk6mackP04ZjBtMT7iU+emxI7Yl098I04ghaFSHV2bkAcd4Dd/iMaZqNQ927MqfoJeaXvO7QopwGlVXldOnTZZevMQxjp2HT7XY3/v9uIxLZ96oMx9oKYLgVJ596EunJmdsFxcTExBb3zvWJ7cX3hc6dIhRtRpEe0fDf+8yu47hr4f221lcoDut0KBmR6bbWFUIIEX7adaAESIgeh8tIYVPJNQStMpo3p9LEUNFkJj1CXNTxIbdFKRepMWexueK/zWxH07jNVBIiDwuphsuIwOl5ntGR8Xz55ZcEAgH8fj+BQKDFX7prGVDsaHsB7rnnbiLMaFtrHpi0L6+tfYt6y/7TnQwUI1NHYKiGnubu0d04IfNYPs79zJb5pgYGce44zuxyasi1hBBChL92HygBYiIPo2fGD+SX3U9Z9bs09FTuqrey4YdwXNQJpCf8C5dp34KDtNiztwRKuynSY8/fsvCn5RI83Rxb4b1VWkxfRo8ebUutpRWzeGPtA7bU2hkDA7dh/wlMEWYEh6ceytS8abYPRQcti+D8OnS2buxBPTnrBNZWr2NB+aKQQqWBgctwcUOfq4l0bb+wSwghRMfT7o5e3BnTSCAz6RF6Z84hNf5WorxDMdS2PU5KRRLpOYBOcTfQK2MmnZOfsTVMAnhdnekcfy3Yen6zSYQrh/S4C0OulBLRx4b27JzCpFNkf9vqZUR2t63WzqRGZGMq05HaY7NOIMYVbft53rU/VDB+zNmMGjWKhQsbTjxyGS6u7X0VQxIGN7mO3zKo8HkprosiryaGzTWxbKqJpsafxjvrfubjTT9T5a+1te1CCCHCj9J/XfrbgWitCVqFWLoepTy4jE4o5XzGtrSfRZtPpsa/lNCHvhUKk73SJxHtHWhH85i09lzKfGtwauj72OxnSI9seqjZFa01Dy6+gOqgM/NSDUz2TRrJSZ2vcKQ+wJzS+fzf8qdtqWVgkBmZzn173cHUL6Zy/fXXs2rVKi6//HLuuecekpOT0VozreAHXlv1JgGCGOb23/N1QZNKvxe/9eetrrYNvaYysLSFy3AxOm0/zs85hiRPrC33IYQQIrx0mB7KHVFK4TJT8biycZtprRImAQzlpm/aK3hd2UAoPV8KUPTs9LRtYRJgr4RxOBMmFfGerqRFhH7WeGNFpRiSeBjKoW9liyCDE4Y7UnurfRIHM77L6SHXMTBI8MTz9z7X4jbdHHfccSxcuJBHHnmEN998k169evHkk08SCAQYGncA0y//FmO+JspsGLZWKNAGpfURlNRH47e2fm8qdtSjHtQWGvBbAT7fPJPzZzzIt/lzQ74PIYQQ4adD91C2NX+wmOWFl1NVP6sF7zYxjWh6pjxJQuQIe9tl1fL+mtOpDZZid7Acnv5PesYdZWvN4vrNPLrsKltrQkPASvZmcF3vp1pln8VvC37g1bUT0ZoWzanMjszi5j7XkOxN2u65goIC7rjjDl588UX69u3LiBEj+O9//8uSJUvo2qMbKypXsrB8GW+vm0FloGWLhBr2Q4Bzuo3mvG5Hyd6UQgjRgUigbGNaW+RXvsGGsn9j6a1H8e3qP4kJBEmMOobuSffgNlMcadeG6l/4atPNttVTmGRG7cforP84EjQmbXiGOaXTbF9QdHbXW+kff4CtNXdlY00uz616mbU16zAwdhssFYpgIEjC8mieOu9R1lRvZmbJUpZXbmBNVS4+y49LmWRHpdEnLpvoIsUT19/PTz/9RHZ2Nl9//TW9e/emOlDH1bOfYFNtIUEd+p/hxTnHcWbXI0KuI4QQIjxIoNxDBKwKiqo+pKDqLWr9K9hRqHQZCSRHjyE1ZjxRnpYd/9gcv+Q/ypLySSHXURh4zThO7PIK0W5njuirC1bz2LK/UR0ot2VbHIXBwISDOb3L9Ta0rnksbbGwfDFT86cxr2xB4/0YGOgt/wOIc8VyRNoI5rwxk9e/+ZCj7zmHdb4CDAwaTiL/489BAYYyCGqLyDqTeRO+ITizkMKCAq655hqSzh3MtOJ527wnFArFU/tcQ794OeNbCCE6AgmUe6CgVUONbzG+YD5gYRoxRLn743HtelNyu1k6yPS8B1hV+WWLayhMPGYMx3Z+mkSvsyuy11cv46XVdxLUgZC3xUnxZnFpzweItHnvyebyWT7W12xkfc1G6oJ1GMokyZNA9+hupHiSKPVV8sjit5hVvgwsDcbue3+1pVEKesV0JmF6Na9+MJF+94W+z+qfGSgyIpN56YC/4zY6xO5kQgjRoUmgFLuktcXvpROZU/Riw783c1V6asRARmT8k1h3phPN286aqkW8vvY+Apa/RfMQFYq0iC5cmPMvol3x9jfQRuuq87l53jOU+6tbdK+mMnApkyQznk11RU0Ko811e/9zGJk2xPa6Qggh9iwSKEWTlNav5peCx8mrnYPC3GmwVBhoLCLMBPZOuoB+CSe32ur5rUrq8/hg49OsrV6MQjWpt3LrfMVDUsZwZPqZuA1vK7S05TbXFvO3OY9T6a8JbVN0rRzbxt5A0TeuC0/te61DVxBCCLGnkEApmqXMt44V5Z+SVzuPkvqVBPUfK4JjXOl0itiLbrGH0TXmUIwQT+0JhaUt5pf9wE+FH7O5bs2WjcPVNot2DEwsgigM+scfyKGdTiI7yvm5qaEKaovr5z7J8ooNBEOMg1qDtnlT9b/64OB7SPDEOHoNIYQQbUsCpWgxSwfxWVVobeE2IrecA77nya1dzdrqxWyqWUVRfS5BHcBrRpIe0ZWsyB70jN2bOPf2W+3sqSZt+J7nVn1kSy2r8W+/c6Hy34MuZf/kvo7VF0II0fZktrxoMUOZRJh79jxDgMzIHDIjc9q6GbbwWQHeXNfyRVI75lyYNFCsrs6VQCmEEO1chz4pR4hwM71wPpWB8Dk721AGNYH63b9QCCFEWJNAKUQY+a5gLobDcx7tpNGYrbwoSwghROuTT3ohwsjSinW2bT7eGoLaolNEQls3QwghhMMkUAoRJsp9VZT5qxyo7GxA7R3b2dH6Qggh2p4ESiHCRHWwzvaaTg+eR5oeukalO3wVIYQQbU0CpRBhwgizv64GBsdkHIjLMNu6KUIIIRwWXj+hhOjA4j3RWzZot49qLGf/sLeFxQmZw2yvK4QQYs8jgVKIMBFpesmKTLG97h8R1b5QqVCMyx5Bl+g022oKIYTYc0mgFCKMDEzoYfs2PEptDZX29H6ayiA9IokLuh9jSz0hhBB7PjkpR4gwcnT6gXy+eYbtdZUCtIUO8XdME4NYVxQP730ZQa35Pm8Zi8tzWVlZSG3Ah8swyYpKoH98JkOSutA5OtGeGxBCCNGmJFAKEUb6xXWle3QG66rz7N2PUoNV42fVKzPoecVwDMNodn1tabw+xa0Dz+XlFTOYvH4udVYAUxlorRvruZRBQFsAHJSSwzk9hnJoai+UCp8N24UQQmxLaa3DZ5dkIQS/l63ixnlP21736m4ns2rSLJ54+wXSLzuAmB6dMFC7DZYGBhpNpzWKaVN/I/2sw0EpgltC466YShHUmsPT+nDn4BNIiYi163aEEEK0IgmUQoShZ1d8yEebpqNt6KU0MBiS2IsHB12GUora2lr+++J/eWbqG0Qemk3Svl1RhkKhMLb0Im4Ni9FmBMdmHsSRqfty/+9fMqt47Z+XjjeZqQyiXR4mDD2XvRKyQr4nIYQQrUsCpRBhyG8F+OeCF5lTujykUGlgkBWVwuNDriHOHb3Nc/X19Rx11FHMmDOTyO5JHHzykYw4aiSdM7NI8cbTOzabzlGd8FtBLvvldeaVbAhpGN5A4TVdvHbIRfSLz2hxHSGEEK1PAqUQYcoX9PPgkjf5sej3FtfoHZvNDb3OYk1VCYvLc8mrrSCgLaJdHnrFpnLnxdcwqt9+7L/vfjzwwAOsWrWK448/nn/+858ccMABADy44DP+t2amLXM6DaVIjYhl8uFXE+XyhlxPCCFE65BAKUQY01rzVf5vPL3iA+qC/ib1Vhoo/P4AaUWJJHbvxY8FK9A0LJbRaLRuCHZB3RARY3Bxbp9DOaXzEKZ++DH3338/S5cu5aijjuKMW6/i/ypm2XpPBorTuu3H7YOOt7WuEEII50igFKIdKPNV8cXmGUze9CNFvnIATGU27iwZ0EGgYc7j4an7M+nn3yhJ9jRp0Q00hLwol4c7Bh3PUen9mTRpEvfeey815x9IVI9MMGw+wQf47IjrZFshIYQIExIohWhHLG2xoaaA5ZUbWF9TgM/y4VIusiJT6BXbmSqfxdUz36LKX9/sIWpFw1k6Y7L35u7BY1hWnscZ0yc4ch+GUpzf42Cu7z/KkfpCCCHsJYFSiA5iUVku5//0Mr5gIKT5jgo4KmsAKd4Y3l4zs0nbA7VEoieK74/6u+xPKYQQYUA2NheiA6j013H1rxNDDpPQ0Ev5xaaFZETGOxYmAUp9NRTUVZIWGefYNYQQQthDzvIWogN4eOHnlNRX23q6zubacttq7cyS8s2OX0MIIUTopIdSiHZuRUU+H22Y19bNaJEyX01bN0EIIUQTSA+lEO3cO2t/w1Th+VddJngLIUR4CM+fMkKIJglqiykb5jk619FJCZ7Itm6CEEKIJpBAKUQ7tqayiNqgv62b0WJyBKMQQoQHCZRCtGOLy3PbugktluCJIi1CVngLIUQ4kEApRDtWWl+NEYb7OJpKcXL2ENmDUgghwoQESiHaMQ2EYySztObUbvu1dTOEEEI0kWwbJEQ7FueOIBhmh2EZKE7pui/Z0Ult3RQhhBBNJD2UQrRjfR1e1KJQpEfEYdjUD2ooRUpEDDfuNdqWekIIIVqH9FAK0Y71ikvFrUz8OuhIfUPB8Z0H81vxGhaUbgrpJB4Dhddw8eQBZ2FgMLtwIyvLi6gJ+HAZJtkxCQxISiclItrGOxBCCGEHCZRCtGNuw8XozL34InehI3tRBrUmqyDARQefw9Uz32J28bqWFbIsIt2RXNjjMB6cPY0Z+esbw6mBQqMbo2q32ETG99qXU3IGEi/7VAohxB5BaR1mE6yEEM0yr2QD5/z4ou11lQZrdQGLbnie/fbbj+tuuJ6qIZk8v+J7NDQpwJoogmgqF24kqUsvygwLU6ldzvvcOrgeYbr5575HcnqPvWU1uBBCtDGZQylEOzc4sTOHpvay//hFBW+e+w8+//xzEhMTGX/W2dw36hyOWx3Bsan90b4AAKbadoal60/tGJLUhVGdhmB0zaFUN7x+d4uI9Jav2qCf22Z+znnT/kelv97eexNCCNEs0kMpRAdQUFfBmG+foibgs+V8bIXivB5DuXGvoxofW7BgAY899hgTJ07EMAx8hua+ic8T27cLKysKqA7W41YmWVGJ9E/IZJ/EbN5aOZ//Lvk1pLYYStEvIZW3jhxPrNsb6q0JIYRoAQmUQnQQP+Qv528z30JrHVKoNJRi78QuTBh6DqYyWV9VSnXAh0sZpEfFUl9awXHHHce8efPQWnPyySdzww03MGzYsG2Gpt9aMYc7fvsi9Bvb0qbhGTm8NOI0Gf4WQog2IIFSiA5kWt5SbvjtnSbPcdyRwQldGJbcl682rmBJaT4+a9sV5KkRMWz88TeOiM1kaGZ3Hn/scZYtW8aBBx7IDTfcwNixY8mrq2LUpxOoDwZsuKs/PHLQ8ZySM8jWmkIIIXZPAqUQHcyKinxumzOJpRV5KGhSb6WJwh8I4skLUpMUR8Da9QZBOhhEmSY94pK5d7+jKJ69iEcffZRvv/2WLl260POuK1gfqW3ddF0B0W4PM06+hiiXx7a6Qgghdk8W5QjRwfSKS+Pt4Zfyz0HH0zU6GWjYmuevZ35vXTzjViZDU3rjro2mLC4K/27CJIAyTQDWVJZw9rdvMTvdwxdfTWXu3LkcdPSRrPYEbT/BRwNVfh9T1i6yta4QQojdkx5KITowrTW/l25kXsl6FpXnsrG6jKAOEuOOoG9cOv0TMvHi5W8/foRfW1gt/LhQwGGZPXju0HE8t/hnnlrwY0iboO/qOv0S0vjk2Itsry2EEGLnJFAKIXZqeVkhJ335Cr5gMOQAqIATuw0gr6aCGQXr7WngTq6z4LSbZNhbCCFakQx5CyF2yG8Fuf7nyfit0MMkNAxJf7R2IfOKc0Nv3G6us7g039FrCCGE2JYESiHEDr22bBZLygpsn+tYZ/PK7h3Jra5w/BpCCCH+IIFSCLGdgGWFvOF4W3Li3HIhhBA7J4FSCLGd73JXUlhX1dbNaDGZPymEEK1LAqUQYjvTN6/Z5sztcNMnoVNbN0EIITqU8P2JIYRwzLziXAJhOmwc5XLTNSaxrZshhBAdigRKIcR2VlcUt3UTWsRUBqM795HzvIUQopVJoBRCbMf/l/O5w0VQW5zbe9+2boYQQnQ4EiiFENtxG6aj9Z3oPzSV4sDULgxOznSguhBCiF2RQCmE2E63WGfnIOot1zBtHJp2GSYPH3S8DHcLIUQbkEAphNjOkJQsx1d5P3zQCUS7PBg2BcD79z+G7JgE6gIBVpeVsLSkkLXlpQSs8FxcJIQQ4UTO8hZCbOeLDUu5cvokZ4prTefIOH4Y+zcWluQx/pu3qA7Ut+xEHg0ouLr/IVTXBpi+cR2ryoq3qeU2DPomdWJklx6c2W8Q6dGx9t2LEEIIQAKlEGIH/FaQYR8+RXF9je21tdaUvv4pR8Zmct1119F5UH9umvExc4o2NauO0ppAZR294rNZWVmOqdQuQ+nWntAxPfpx57DDSYqICuk+hBBC/EGGvIUQ23EbJhf2PcD2xTMKiHV7ufvk8SxatIhDDz2UcSNHM6bA4J97H0FqRHTD63aSC02lUIDXdLFPfBeUFcXK8lKA3fZwWlpjac3Hq5Yw8p2X+GbdKhvvTAghOjbpoRRC7JAvGOSEL15idUVxy4ajd+LxYScyptteWJbF1KlTefzxx/nyyy9JT0/noKFDmbp2CZf+372sqCtnVXkR9VYQUykyo+LYOyWLA1K7sK6kggnzf2txG7YG5UcOO4ZxvQfYc2NCCNGBSaAUQuzU4tJ8xn75Kn4rSKgfFAaKo7L78PQhJ2+3EnvJkiU8+eSTTJgwAa01F1xwAddeey2DBg1Ca73N619ZOJu7f/42xNY0UMBLR49lZJcettQTQoiOSgKlEGKXfshdzSU/vEfQsrBaGCsVigM7deHE7EHMyc9lbn4uGyorCFoWXpeLPonJ9IqJ54lrrueovgOY9dtvbNy4kZEjR3Lddddx3HHHYRgGK0uLOfqDV21bua2ABG8k006/iISISFtqCiFERySBUgixW7MKN/C3Hz+isK4KqzkfGZZGK0VvbyobK2qo9vtwKWOH54QbGiwFnaNjuXLIgRgLlvLEE08wY8YMevbsyd+u+RtfZ8azqKTQ1iF4UynG9tqLRw47xraaQgjR0UigFEI0SZW/nofnTeOtlXNBs8veyq0rrpOMKAo2lWNER0Ez95scmpnNfw47ho2Ll/DEE0/w0W+/kHrzlaHexk7bO+PsK+gUFe1IfSGEaO8kUAohmqWwtor/rZzHZ+uXsLKimOBfehsTPJEckJpNtjeZF+fNBmjRQLmpFHEeL2+fcDp9kztx2afvMXXjGrQDJ+EYSnHjfodw1ZCDbK8thBAdgQRKIUSL1QcDrK4ooTpQj0sZpEfFkRYZwxdrVnDlV1NCXshjKkWsx8vkk8/mxI/epKy+zpZ278j+6Vm8N+Ysx+oLIUR7JoFSCGGrvOpKRv7vZWoD/pADJTSEyn7JqSwszrOh2s5FulwsuuA6246CFEKIjkQ2NhdC2OqW76dSHwzYEiahYcPyhUXOhkmA2kCA/Ooqx68jhBDtkautGyCEaD8WFubz/YY1bd2MFqsPBtq6CUIIEZakh1IIYZs3Fs/DDOMhY49ptnUThBAiLEmgFELYQmvNZ6uX27pHZGvymiZpUTFt3QwhhAhLEiiFELbYWFVBpa/euQs4nFP7JadiGvKRKIQQLSGfnkIIWywrLnKw+pZhdIdCpaEUh2Z1c6a4EEJ0ABIohRC2qPb7nL+IQ9Mztdac0W+QM8WFEKIDkEAphLCFabTCYhyN7Yt+TKU4pntvsmLibK0rhBAdiQRKIYQtMqJjHb6Cwmuato56KyDC5eauYUfYWFUIIToeCZRCCFv0T051akS60cBO6Vyzz1Db6mnggUNHkxYtq7uFECIUsrG5EMIWkW43/ZI7saS40JG1M4ZSHJCezbX7DCO/upq3l84PueatBwwnBg+P/fgTC/LyKayuBg1JUZEMSE9jUHo6I7p3I8LttuEOhBCi/ZJAKYSwzdn99+b26V85UtvSmp+fe5GZeHjg0FFkxMTw+OyfUdCsvS91MIiJYmRGb16cPpuyujpMQ2FZujEIK+DXDRsJWBYxHg+nDRrIJfvvR6eYaCduTQghwp4MeQshbHNSr35Euz221zWVoptlsOinnznooIM4+OCDyVi1iQ/HnEXvpBSgISjurgZAWtCFLvDxw4o1lNXVARD8U5iEhqHwgGUBUOXz8drsOYx+6RU+XrIUHaYbtwshhJMkUAohbBPt9nDnsMNtr2soxctnns/SpUuZPHkyXq+X0047jTEHDGXkmkL2X7IevWg5yRFRO3x/RnQsZ/YdxPjue1NSa2BGRmE14/pBrany+bj+k8+455tpWBIqhRBiG0rLr9tCCBtprTnvs/f5adN6245hvGPoYVw8aL9tHps3bx6PP/44EydOJBAIMGTIEN577z1iM9JYV1GGPxjE63LRMyGZeG8ET/z0M0/9PMOW9pwzZG/uOnKkLbWEEKI9kEAphLBdeX0dp035HytLi0MOlaf3GcCozj1ZkJfPwrx8CqtrAE1yVBQD0tMoXbaMB664nPiYGMrLyxkzZgzXX389w4cPR20Z5v5x7TrOf+8DG+7sD0+OOZ5j+/S2taYQQoQrCZRCCEeU19dxyZcfMXPzxma/V1sWShnsm5DJ2sJSyuvqd7hwxjAMgpYFPh/nH7g/satX8d8nn2TRokUMGTKE6667juNPHsvxb0ykqKbGtqFqBcR6vXx10QUkR+94mF0IIToSCZRCCMdYWvPGork8MON7/EELazcbChlKYWlNRJ2Fr8KPKzISq4mfUKZSRHs83DvqCNwb1vP444/z+eef0/m4E/AOHwEOnLBz6YH7c+Ohh9haVwghwpEESiGE44pqq3ln6ULeWDiXvJoqoCE8KhRa68agOSgljQxXLN8sXw2WBUbz1g0qGlZon7/vPtx2+AiWLFnC6R99TK3L1Tj8baeEiAh+uuJSvC7ZgU0I0bFJoBRCtBqtNblVlSwozGN9ZTl+yyLS5aJ3YgoDUlJ5ddYcnv7lV1uudcG++3Bc3z6Mm/i2LfV25qVxJzOie3dHryGEEHs6+bVaCNFqlFJkxcaRFRu33XPfr1ljW5gEeGX2HKp9vsZeSyeYSrEwL18CpRCiw5N9KIUQba6yvp5bP/8Sw8ZhaQV8tHiJrTX/SgOL8gscqy+EEOFCeiiFEG3u7Xm/U1xTa+uG4Rrw7eb0nFBZWlNSW+voNYQQIhxID6UQok0FLYs35s4N29NnTAd7QIUQIlxIoBRCtKn5m/PYXFnV1s1oEVMpUqKj27oZQgjR5iRQCiHa1IK8PJzs43NyIwsNDExLc6y+EEKECwmUQog2taSgEKOZ+002hxP7T25lac3gzHTH6gshRLiQQCmEaFNldXUNxyeGoczYWPbNymrrZgghRJuTQCmEaFPhuqRFKTh3nyGObkskhBDhQgKlEKJNpURH43JwyNsAYr0eW1djG0qRGRvH2UMG21ZTCCHCmQRKIUSb2ist1dkhb6U4bdBAW0tqrfm/444h0u22ta4QQoQrCZRCiDY1OCPDsaMRoWHhzOiePXnomKNsq/nPIw5nv84NcyeDloUvEHB0NbkQQuzp5KQcIUSb6tsphV7JyawsLrY9WGqtibaCpKLZd6/+ANz6xVS01gSbGwC1xjAMbjrkYKxai6smTmb+pjyKq2qAhmHw7imJDM7O4PA+ORzWOweXKb+zCyE6BqXl12ohRBv73/zfuWPq1/YX1pqqr6dS8t00zj77bG6++WZcnVK56bPPWVxQCFo3rK7ZBUOBpcFfUMg+GV1ZWVFPUGsU7PB0H9NQBC1NSkwUlw0/gDMPGIzp4BxRIYTYE8innBCizY0dsBc9k5NtXziTnZDA7/97mwcffJCvvvqKvfbai5suupAbc7rxyDFHYeXnNb7eZRiYSmEqtc0iod4pKZzVfyDR7kSWlFQTsCy01js9KjJoNTxeVFXD/Z99x/iX3mV9SZlt9yWEEHsi6aEUQuwRFuUXcPIbE20701sB75x1BvtkZQLg8/l46623eOSRR1i8eDF77bUXixYt4v2pU/F0zmZRfj4lNbVoICEigv5pqQxKT+frhSt4/JufUdCiIXnTUER7PLxywTj6Z6Tacm9CCLGnkUAphNhjfLBwEbd8/qUtte44/DD2Sc9kYW4+q4tKqPcHcJsmnRPjqFy3mgf/fiP5mzbSu3dv/v73vzN+/Hi8Xu82NSb+Oo/7Pp0WclsMpYjxenjv8rPokpQQcj0hhNjTSKAUQuxRJi1cxD++mArQ7IUz2rIwlcHwrG4s3JBPWW0dCraZw2htGa62/D4y6yqJyl3NF+/+j/T0dK677jouu+wy4uPjWVFQxNhnJxKwaUsj01AMzExn4sWnYxiyGboQon2RQCmE2OMsLSjkxs8+Z1lhEYZSux0GNxRYFuiyKjyuaJRhNmno3FQKDYztl8Pmrz/hzddfw+v1ctnll7Osc39Wl5Q1zom0y+3HHsb4g4bYWlMIIdqaBEohxB7JHwzyyZJlvD53Lgvy8oGGhTNbP7KUUo29h32SU1B1mpX5JWitUc1c3KOAnqnJPDD6YCa+9F9e+uQLUsaeZ+v9bJUSE8W0Gy+RLYWEEO2KBEohxB5vbWkp8zfnsSi/gNLaWrTWJERGsldaKn1SUrj/k++YuyE3pAU9pqHIiIvlf5ecwR2TvuSHlWvRDp00/uQZJzCqf09HagshRFuQQCmECGt3ffw1781eaMvqcNNQ7N05gwUb8/AHnTkO0jQUJw7uz/0nj3akvhBCtAU5KUcIEbZ+Wb2ed2YtsK1e0NLMXpfrUL/kH9eYv3Gzg1cQQojWJ5N4hBBhSWvNvZ9+i2HjZuitZU1RKZbNi32EEKItSaAUQoSl2es3sbqo1LaN0FuTpTW+YLCtmyGEELaRQCmECEuT5i7GDOP9HF1yvrcQoh2RTzQhRFiatW6T7XtEtpbk6CjZNkgI0a7IJ5oQIuzU+PxsKClr62a0iKEUAzunt3UzhBDCVhIohRBhp6S6Bsf6JhVocKy+RrN/1yyHqgshRNuQQCmEEK3IVAYn7t2/rZshhBC2kkAphAg7MV5vWzehRUxDcezAPiTHRLV1U4QQwlYSKIUQYSchKoJOMdHOXUBh++bmCoh0u7lp9KE2VxZCiLYngVIIEZYGZ6c7uql5dlI8h/Tsats1NPCvE46gU6yDQVgIIdqIBEohRFg6fmBfxzY1N5TixL3789hpx9E3vZMtofLaI4Zx3KC+NrROCCH2PBIohRBh6Yi+PUiMinSktmUF6a7riYnw8toF4xjWo0uL6phKYRqK2489jMtHHGhzK4UQYs+htA7Dc8uEEAL432/z+dcn39paUwHGqsUsnvgiY8eO5YEHHqB3795MmruIBz77jhqfH60tlNr57+OmUgS1Js7yc98ZJ7N4XT4L1uexZGMBVXU+ABKiIxnQJY3BXTM4ft9+ZCbF2XofQgjRmiRQCiHClmVpzn/tfWavt+fUHEMp0uNimHLlOXz43rvccccdbNq0iYsvvpi77rqLmMQkxl5/Cxu9cRCXuMMaLsPg0F7dKFm0gNlri4lI74JpKCxLb7e3pVKgUGg0w/t154YTDiUnLTnk+xBCiNYmgVIIEdbyK6o4dcJbFFfXhBQqDaXwuEwmXngaqTHRLNlYQG5xGd9Om8anH31Idf4GLj37DJ5++inuvPNOrrz2OhZvLmBTWQWBoEWUx02vtBQy42N5+vNfePvHeWjLQjXxzG7TUCil+NsxwzjvsH0x5axvIUQYkUAphAh7G0rKOPfV98mvqGrRQh0FRLpcHN+nLz8tWUNBefUOX2f5fZQvm8u4gwbw8B1/x+PxbPN8ZW09l70wiUUb8kNaMHT03r158Oxj5LxvIUTYkEAphGgXymrqeODzaUz5fSmGUk0KdEqBtkAXlRIRmQSw2/dpK4gyTIJ5a7nhmAO58OwzMAwDfyDIBc+8x4L1eSGvPlfACfv1474zj0I5uDWSEELYRQKlEKJdmb5iLRN+/I3f1m5sWGBjqG2GwrduAWRpTffEROrK6iksr25+cNMWQb+PiBW/8n+3XsuiOi8TvvrV1jPAHz7nWI4Z0sfGikII4QwJlEKIdml1YQk/rlrHotx8lucXUev34zZNeqQksVdmGt2TErn/3W8ora4NbUGP1mz+4WMyhp/Q0OVpEwXERHj55LbzSZKjGoUQezgJlEKIDqfW52fsI2+wubQi5NXhioZTcJqzAKepDKW46uihXDpK9rAUQuzZZMa3EKLDefKzn8gtCT1MAo1D3HaHSWgYln/7p/kEgpbttYUQwk4SKIUQHcqKzUVM/GGuY8c22q2oopqlmwrauhlCCLFLEiiFEB3K/36aj2GEz8ppBSzemN/WzRBCiF2SQCmE6DBqfX4mz1xky1B3azENg+W5RW3dDCGE2CUJlEKIDmPZpkLqA8G2bkazaK2p8fnbuhlCCLFLEiiFEB3Goo35du7s0zoUcgyjEGKPJ59SQogOI7ekIizDWUZCbFs3QQghdin8PlmFEKKFglb4bb8TtDR7Zae1dTOEEGKXJFAKITqMSI8bW89GbAWGUgzsmt7WzRBCiF1ytXUDhBCitfRMTyEQRr2UpqE4fEAPOXpRCLHHkx5KIUSH0T87ta2b0CxBS3PWIXu3dTOEEGK3JFAKITqMbp0SyU6OJxwWepuG4ughvdm/Z3ZbN0UIIXZLAqUQosNQSnHWoXs7UtvYsh+RHWHVUIq4yAhuHzvShmpCCOE8CZRCiA7lxP33Ij46wvb9KC2tuerooSilQgqVhlJEelxMuHwsCdGRtrVPCCGcJIFSCNGhxEZ6ufv00Wg7V3trzYn79uXy0Qfx1EVjUFYAbTX/RB5DKTrFRfPa1afTNyu85nsKITo2CZRCiA5n5IAenDp0YPN7EvWfvrYwFPjKi/j08X+xadMm1s76kcUv3kuf5GigYS7k7mx9zalDBzLl1vPok9WpuS0TQog2pbS29fd0IYQIC0HL4o63p/LJ7CU7f5EGIwAqCMoCpRsfbpgsaUJSQhS3HTuYC848DZ/PR1VVFWPHjuW1115jwfo83vlpPl/MW45vyxniW+daWls+ek0d5MwR+3HasEF0T01y7oaFEMJBEiiFEB2WZWle/W4WT33+M1prgtYfidHwNYTJrXbVz5gYE8lJB/Xi9otPoaqygtdff53x48c3Pu8PBlmdX8LSTQVU1NSjFCTHRvP2C08x6+efefHtSWwuqiAQtIj0usnJTKZX5xS8btkqWAgRHiRQCiE6vNX5xfxnyg/8uGQtRhBUXcPjzR0SrynaSKfKZfz41af8+9//5u9//ztqB6t/Kqrr+OSXxbz08Y+U1f4x11IpGud2GobiwL5dOG3k3hw8oFtYnkEuhOg4JFAKIcQWz3/8CxM+mRFCBU2k18OQqGKeeehfXHDBBTz//PN4PJ6GZ7Vm0g8LePS976n3B3a7MMgwFJalyclI4t6LjqFvlz1noY5lacoqawkEg0R63cRGR7R1k4QQbUgCpRBCAB//soi7Xp0ach1DKbweF+P6R3PrtZczdOhQPvjgAzyRMfz9hU+YuWR9s2uahkJr+Nsph3DOqH132OvZGjYXljPl2wXMXrSB5esKqPf9MScgMS6KvXqmc+i+PRg1rB+REe42aaMQom1IoBRCdHgbC8sY96/XGxfOhMo0FN0zkrnqsK6MO+UUEpJTGXjK9WworsKyQvvIvfi4A7nixGG2tLOpcgvKeey1b/lxzurGXtMdUUqhtSYyws3px+zLBScfiEfmgQrRIcikHCFEh6a15u7XphK0LNtqBi3Nqk1FrKjyMmPGDKIHHsXa/PKQwyTAi5/+ysc/L7Khlbunteajb37nzJte5Zd5awB2eQ9b+ydq6/y89tEMzrnldZatyW+Vtgoh2pYESiFEh7ZobT6zV2z6Y4W3TTTw+tTZzNlQhZmYjbJxUc1Db0+joLTKtno7orXmuf/9yEMvfoXPH2j2n4/WsDG/jMvu+h9zFm9wqJVCiD2FDHkLITq0O1/5gs9nLrU9UAKgweMy8ds0lL6VaSiO2KcXD156nK11/+zNKTN55u3pIddRSuFxm/z3njPp1bV1FhVVVdcz7fslLFy8iSXLcikuqcayNNFRHnr3TKdv73RGDO9L1+zkVmmPEB2BBEohRLtSUFrJkrUFrNpYRE2dD9M0SEuKpV+3NHp2TsHtMhtfq7Vm+HXPUl3nc6QtCrY5VcdOhqH4/KFLSImPtr32sjX5XHjHRFuG6KEhAHfJTOK1B8/Z5s/fbsUlVbz6xo98+fVC/P4ghmkQDG47lUEphVINQ/eDB2Zz4bmHMnhgtmNtEqKjkEAphAh7dT4/U39dxjtfz2X5+kKgIcRsXQ0d2BIqIr1uxhw6gHEjB9MtI4lNReWccPvLzjVMN38vy6YylOLKk4ZxwTEH2FrXsjTn3PIa63JLbO21VQouHjeMC8cOta3mn30zbTGPPjWV2jpfk4Pw1gVGJ4/Zh0svHEFkhMeRtgnREUigFEKEtdlLN3DXf78gv6QSQ8HusoRpKCytOfuofdmrZwZ/n/CpMw1zMExCQ0Abtlc3nrzmZFvrzpi/luv//YGtNbeKjfLy8XOX4/XYt/Jba82Lr/7AxHdmbLMxfHMYStGzRyr/efB04mIjbWubEB2JLMoRQoQlrTXPTfqJyx96j8ItC1Sa0jEVtDRaw8Qv5/DIG9+2LIHsAbSGRWvzbK/7/tS5mIYzUbiypp5pvy63teYbb/3MxHcaNqNv6X9KS2tWri7gpn+8Q12d38bWCdFxyAZhQoiwo7Xm8f99z1tT5wANgaAlNcoqajE0WG7d0OUXZsqq6vD5A7bt9RgIWsz8fa0zC5RoGGL+ed4ajj60vy31fl+4kZff+NGWWpalWbGqgJdfn86Vl460peaubNpQwvIluaxakUdlRR0oSEiMplefdPr0z6JTapzjbRDCThIohRBhZ/IPCxvDZCi2BlHDH76h8rjjTyA+NprY2NhtvuLi4nb5WExMDMZftjJau7EYf8C+/Tj/yrI0C1dstqVWvS/Ag//5ZJcbrTeX1pp3J/3G8EN6M6B/Z1tq/pnPF+C7rxbx4Tu/smpFw/6cpsvYZuHW1kVEg/ftxonj9mfY8D4YDvUYC2EnCZRCiLCSV1zB/701zbZ6ioaf5yoIOtw+EbUmPi6GqspKcnNzqaysbPyqqKggEAjs8u3R0dHbhMyoTn0gYR9Hm7y5sJxAIIgrxNXe3363hM155Ta16g+GoXj9rZ95+L7TbK27fEku/777IzauK97m6MzgTgL8grnrmD97LQMGZ3PTHWPI7Jxka3uEsFu4fXwKITq4p9//0fZ9HRWAteWklzDqpeyWkcT7/31vh89pramvr98mZG4Nmjt7LLfCQ1ErtLveH3qgnDR5duNRj3ayLM3MWWvI3VxGZkaCLTUnv/cbzz7+ZeMiraa0eWuv6+KFm7jk7Oe5/d5TGDa8jy3tEcIJEiiFEGGjpKKGr2cuc2yOXzj1UpqGYmBOxk6fV0oRERFBREQEnTp1alLNL6Yv5u5nP7eriTt15BEjycxIIzMzk4yMjO3+mZycvE0v3l8VFFawYpVzRzoaSvHjz8s57ZTQt2T68J1fee7xqUDLtiS1ghbagrv/8R53PXiqhEqxxwqTj04hhIDPf1ni2KJsu3spTVORFBNFaWWNIwE4aGmGD+5ha82stARb6+2I27Do0acXubm5fP/99+Tm5lJcXLzNazweD+np6WRmZu4wdBYUO9yLrGD5ytAD67zZaxvDZCi0BoXm/js+YMLEy8iSE37EHkgCpRAibMxfscnR+nbGFJdpcsOpw7ntRWd6/JLjohg+KMfWmr26dmrxXo5NoZTiwL178sjNN2/zeH19PXl5eWzevJnc3Nzt/jl9+nRyc3MpKmoYkO/a4wi65IzEMJw5dceyNMtWhLYlU22Nj4fvmWzboiGtG36JePieKTz2wvmOLdQJ+IOsW5nPyoWbKMovx7I0UTFeuvfJoNdeWcQmRDlyXRH+JFAKIcLGwtV5LdoiqFk0tiTLm04bwej9+/DWN3NZvDbf9nZfeOwBuEx7txKO8Lrpm5PO0tX5ts9NbKDZp//2xxx6vV66du1K165dd/lun89HXl4e/311Oj/N2Ijl3IJ0qmvqQ3r/h+/+SnFRJdrG3mkraLFk4Uamf7uYEUfuZVtdgPWrCvj07RlMfX8WdbUNR5GarobvL23pxlA8YL/ujDlnGEOP6I/L7dwxmiL8yMbmQoiwUVJR4/g1DB16mjxv9H6MPXQgSin2S/ERCNi3WbZpKAblZHDaYXvbVvPPThm1t0NhEkzD4NjhLQ9CHo+HLl260Dkra7stj+zm9/lYtWoVfn/z/9sFAxZT3p9la5jcyjAUH733m2316mp8PH/fFC477lE+eWtGY5iEhvsIBqxtelgXz1nLA9dO5MoTn2DlImdHDER4kUAphAgbTvyA/jNDKXpkNcxPa3as1BpDKf528sFcM/YQ6uvrueyyy7jm0vPJsnLtaZ+hiI7wcM+FRzs25HnE0N7Ex0TYvtjdMBRHH9qfeBuONkxJjmncr9EJWms2blhBz549iYyMJCcnhyOPPJJLL72Uhx56iPfee4/Zs2dTVla2w/fPm7OWkuIqR9pmWZpFv29gc25pyLU2rink8uMfY8rEX0A39IA25foAm9YWcc24p/nwVXs2lhfhT4a8hRBhI8LrpqbOt/sXtoTW6KAmTrnIdEVSXFaNBrQCbYBlKiwX8JcgZxqKoKWpLcvnrnOO5IyjD2DVqlWMGzeOpUuX8uKLL3LhhRcy8es5PPbeDy2eo2huCZMv3Hgq2akJdtzxDkV43Nx6yWj+8dgU22oqBdGRXq4681Bb6vXpne7oiZkul8m4sUfy8H1jWb16NatXr2bVqlXMmjWLd955h4qKisbXJiYmkpOTQ05ODj169CAnJ4fN69y2bri+I0sXbSIjM7HF79+4ppAbzniO6sq6Fv2itjV8TnjwE/y+AKddeliL2yLaBwmUQoiw0adLJ+Yut3mYzdIYQVBbOmcWr8xrDAIKUBq0BUZAQz1YLk3Aq8BQmIbiwH5dOO2wwVx3wek8fv/3uH0VXHjhhaSmpjJjxgwGDx4MwPhR+5KZEs99r39FVW19s1d+D8zJ4J4LjyYrJd7Ou9+hww7oxahhffn6l2W2DH9rDbddNpqEOHsWdPTMScPtNvH77d2PdKtg0OLgoXtx2PC+2z2ntaakpKQxaG4Nm6tXr2bmzJls2LCBgT1Pp1NiH5RyZhDQdBmsWJrH4aMGtOj9dTU+7rjoZaor65rUK7k7r/zfF3TO6cQwm+d1ivAigVIIETb2yknn95W59mzDozUqCMaWTLK133FHvUp/7pN0BRWeOsVpx+7DZaccjNfT8DH60L8fZPTo0YwbN45x48bx0ksvERe37XnMI4f0ZEjPLJ756Ec+/mkR/mAQQxk73J/QNAyClkVqYgwXHnMApwwf1KpH8N1+2VGUllcze/HGkEPl9ecdzmH797KpZRAR4WbUyP58+fVCgkH7ewFjYrwMO6jnDp9TSpGcnExycjL777//ds/7fD6uPH8C69eEPiS9M1prykpaPqT+6qNfULC5zLYpJErBE7d/wIB9uxGXGG1LTRF+JFAKIcLGEfv15s0vZodeSGuMABgt6JzRWhMMat7+eBYlJVXccfkx5G7ayJ133olSioSEBF5//XVq6i3e/WIOi1fmsXjVZsoq6wBIiI2gf48MulolzFn8O2PPuYiFa/IoKKtCa3CbBt0zkxnYPZ1DBuVw8IBumA4vQNkRr8fFf/4+lode/IrPpy9u9lC9aShM0+TvFx3JcSPs77k66fh9+OzLBbbXNQzFiccNweNp2Y9Hj8eD1+O1uVV/oWnxrgHrVuYz+Y2f7W2OhqrKWt565hsuv2OMrbWDQYt53y9hwS8rWD53HZvXFhIMBImI8tJjYDY9B3fhwNED6dwz3dbriuZT2qnlfEIIYTOtNWff+QYrNxW1fA7dljCprNB3B1IKBnaP5/3nbiEmJob//Oc/XHDpNRx9xg1srjDRumHK5V97VE1DEQhaKAVHHNSHS087mOz0xIbXt2IvZFNNn7WSf7/4FSXlNbudG7h1Tuk+/bO5/bKjyEx1boj+kcc/5/OpC2ybq2goRWJSNK9PuJjo6JaHwluvfZM5M9fY0qYd0VjEJ9dwyJEZ9OvXj379+pGdnb3L04W2evbeyXz69q+2DHX/VUSkh7d+up3IEP7stvL7Akz+77dMnvAtRbllmC6j4dSgP/2nNkwDrTXa0gw+pA+nX38MQ3YwTUG0DgmUQoiw8v3cVdz05OQWv18FNWbAxgYBMbWLeeu/D/HVjLU8PfE7LMtCNXHTbdNQGIbiijMO5bRj9mmT3sim8AeCfP/bSiZ9NY+FK3LxB7YPJDFRXkbs35NTRu1Nvx7O9xhVV9dz3qUvUlJabVuo/M8Dp7HfPt1DqvHSs9/w/lszHFyJrqnwzWH+4i+pq2vo+Y6OjqZv377069ev8Z/9+vWjZ8+euN1uoGHT8lP3v3ubrYHsdsOD4xg1dr+Qaqycv56Hr3yZjSuavh+qYTYEztFnDePSe08lOi703QRE80igFEKEnduf/5Svf1ve/BChNeaWn6X29QNqoiI8DOmXzU9zVodUaeRBvbn7qmNxufbsDaMDgSBrNhWzubCCQNAi0uume+dk0pJjm9RLZqc1awv5240Tqan1hRwqr7niSMaeuG/IbZo+bQn33vZ+yHV25bnXL6FbTifWrVvHkiVLWLJkCUuXLm38/6WlDXM4XS4XPXv2pG/fvnTN6Muyb5z7kW+6DEafsh/X3DO2xTV++nQuD178X3QTtzH6K8NUpHftxEMfXU9KRstXwYvmk0AphAg7FdV1XHDf22wqKGvWAh0j0LAQx7HIE+KnqVIwalhf/nXVsa0ezMLZmrWF/P2O9yguqWp2qDQNBUpx/dWjOP6YvW1pT22Nj9OPe5S6Ovs2tP+zzM6JvPLuVTv9HtFaU1BQsF3IzFvuI9NzoKPfW937pPPslOta9N6ZXy3g7nOeRVs6pG2hTNMgrUsyj35+C/HJMS0vJJpFAqUQIiwVllZx+cPvsbGgrGkhYkvv5J4aJv/s9suO4vjDWrYlTEdVU+vjhZe+Y/Incxvnce7K1rmgvXqkcdvNx9G9Wydb2/PMo1/w8aRZWHavQldw5fVHcdKpBzT7rROf/pq3n/uW4A6mK9glNj6Sd2fe1ez3leSXc8nQu6itqrNlj1HDNBh67GDuePmy0IuJJtkzJ+sIIcRudEqM4bV/nsVxw/oDDQsqdkVpB8Mk2Fr80Ve/paCk0r6CHUBUpIfrrx7NK89fyAnHDSHC+8cqbdM0ME1jm565IYO7cP9dY3n+yXNtD5MAp549FLfb3o1UDEPRKTWOo47bu0Xvd/J0oa1aOu3gqZsmUlfjs23Deito8dPHc5k+2YZdIUSTSA+lECLszVi4lhenzGD+ityGVdI72FbFZYH267DooTQMxVnH7cdVZw23r2gHEwgEWbOuiOUr8iguqcayLKKjvfTMSaVXz3RibFiJvDufT5nLYw9+YmvNR545h8H7dGvRe99/6Qde+c/njp7gEx3v4dH3L27yqnOAlb+v529HPGB7W5SCjO6pvDjjbluH+ZfNWsXcbxawYvYq1i3ZhL/OjyfSTfeBXei1Tw/2Gz2I7gO72na9cCGBUgjRbqzaVMQPc1exeE0+y9YVUFPvwzQMMlPiqCyrJTevzLkj+2yuGxPl5ZPnLm/cOF2EH601D98zmW+/XGDL9925l4xg/IUt/yVj9o/LueOil0NvyE5obVFQvZK5uR8SHx/PoEGDGDRoEAMHDmTQoEEMGDCA2NjY7d73xA1v8tVbPzvWg/rQR9cz6OA+IdXQWjPt7R959z9TWDVvLYbZMMD754VDf97GqN/Q3px+84kMO3H/DjMfWgKlEKJDuOaB9/ht4XpnL2Lzp+ljt57CQYO72VtUtKpgwOI/90/hmy9atgn71g3lx194KOdcPCKkcFJRWs3pB93b4vfvjmEqjj9nf7oM8vL77783fi1btoxgsOFIqpycnG2C5oABA/nH0c9SV13vSJtMl8HR5xzC1Q+f1eIaBesL+c9FzzH3mwUoQzXphKGtrzv45AO49rlLSXRwP9Y9hfzqK4ToEBzf39HmMGkYiqVr8iVQhjnTZfD3O09kwOAuPP/4l/gDwSYv1DEMRWxcJDfcdjxDDw2thw0gLjGaAft1Y/GcdY4Me1tBzXGnHUKXHqkcd9xxjY/X1dWxZMkSFixY0BgyX3jhBfLz84ky4hiedKbtbdkqGLBYOqvlm8wvm7WKW0bfQ11Vw36fTT2ucuvrfpkyi8U/L+ORb/9F136dW9yOcCCBUgjRIaQmx2KaRqssTLCFhpXrCtq6FcIGSimOO2kf9jswh3ff/IWpn86jvj6A6TK2W3G99Xs0JjaC407ah1PPHkZcvH2bdI8ZP4yFs9baVm8rw1D036cbXXqkbvdcREQEQ4YMYciQIds8XlBQwPv//ZyPH//F9vb82bqluViWhdHMXyrXLFjHzUf8i/oaX4tPFrKCFuVFldw44k6emvEgGTlpLaoTDiRQCiE6hD7dUvl4mv1nPzvF0ppqB080Ea0vLSOBv918DBdeOZJff1zOsiWbWbF0M+Vl1SilSEqJoU+/TPr0z+KAYT1bfJ74rgw9ci+yczqxaV2RrVsaWZbm7KuPaNZ7UlNT6dG1J+BsoAz4g/jrA3gjPU1+j6/Ox93j/i+kMLmVFbSoLKvm/jMf54mf78M09+yDC1pKAqUQokMY2DvT7lHpbSlsH/beU49hFKGJjvYy8qiBjDxqYKtf2+U2ufmR07n21Gdsq2kYiqNPO4C9h/Zs9ntVK51dv3URTVO9cfd75K7Ka/IQ9+5YAYtlv61k0uOfceqNJ9hSc08jn1ZCiA6hZ5dO9OrSyZkVlxrbw6TLNEhJklM+hP16DejMJbcca0stwzTo0jONi25uWb2kNOcXq5huxZdTv2Dz5s1Nen1FcSXvP/qxbWHyz9689z3qa51ZgNTWJFAKIToEpRSnHb0Pjmxs4UBGDQQt+nVvv/OtRNs6+fxDOe/6o4CGleQtYRiKLj1SefC1i4mKadm+nj0HZbfs4k2k0ZT48jjhhBPIzMwkPT2dY489ljvuuINJkyaxZs2a7T4TvnxlmmNzrWsqavnunZ8dqd3WJFAKITqMow/tT5/uqQ3nN9vFgd7JrQb2znSmsBDAGZcfzh1PjycmPqpZQ8LGlr8/R592AP/39hUkhNCTntApjk5ZiS1+/+6YpsllN57P2rVrmTRpEpdccglKKV5++WVOOeUUcnJySE5O5ogjjuDmm2/m7bff5tOXvnKkdxIahvi/fftHR2q3NdmHUggR9urq/Cxfmc/ylXlszisjGLCIiHDTtUsKfXql061rSuMPwbWbijnn1tcJWlbom01rjQaUzV2USin6dEvllQfG21pXiB0pL6nmrWe/4cv3fqO+zr/D1efKUCjVsDXQgP26cfbVR7ZozuSOvP1/n/HGw84MMQO8NPNeMrtvf7zm5s2bmTt3LnPmzGn857q16zmckzCUc/1t0fFRfFjyarvb8FwCpRAibK1eW8hHH8/hi68W4vMFUKph25Wtn2pbh61SO8Vy0gn7cNzRg4mPi+T731Zw62OT0VqjWviDQ2uLhijpzA+FO688hmMO7e9IbSF2pKaqnh+/XMCSuetYOn89RfkVWEFNVIyXnv0z6TWgMwcfNYCuPe2dilGSX865g/9h+zCzYRrsfWgf7n/v2ia/Z87387nl8PtsbceOvLX+eTp1Tnb8Oq1JVnkLIcJOfb2fl16fzrsf/IZpKoJbtj/RGgKB7X8oFRRW8t9XfuCtd2ZwwzVHkbdpLku/f4X+h12AUopgM3tGtLbwuEzuu/YEXp88k6Wr85tdY2dMQ9E3J53RB/e1pZ4QTRUV42X0Kfsx+pT9WvW6SWnxnHnTcbz58Me2Th9RCi6999RmvcfUrROLqkqr2l2glDmUQoiwkpdfzkVXvMJ7k2YBNIbJ3dFaU11Tzz0PTuG+hz7m+JH78v7jlzBky+kVTZpXqRvC6gEDu/He4xczfL9e3HnlMRiGYUs/pVJgGAZ3Xnm0bBkkOpTTrz2abn0zm729z66cc8sYuvZt3jzkPXUbo3DQ/u5ICNFuFRRWcPUNb7I5r6xFq7W3viU1fTBdeowhNSmWJ287lSf+cQoHD8lpXO2qFCg02gpuGdpueGzEAb158rZxPPGPcaQlxwHQJSOJB68f0zjHrKWUapg7+eD1Y+iSkdTyQkKEIZfb5O63riYhpeFEq5AoOOyU/Tn1mtHNfmtSekJo126ixLTWuU5rkjmUQoiwEAhaXH7Na6xZW9jkXsldUQrOO/tgzh9/SONjc+Yt4JEn/suPvy3EGxnH4EFDMCwPSxYsYdSRxxAMWHg8Lrp0TqZ3rzT2HtSF9C376P0ybw03PvQelgXKaN5JGKah8Hhc3H/tCQzdu3vI9yZEuMpfX8Rt455g87qiZi/SUUqhtebocw7h6ofPxHQ1/0Qay7IYE3cu9TXO7RWZnJnI/zZOcKx+W5E5lEKIsPC/935l1eqC0Fdmb6E1vP7Wzxw8tBcFeSt55JFHmDx5MhkZGZx7/rVosxszZ61Da01SUl/mzlvf+N6589c3LiA4cL8cTjtlf/LWzmP25Ac44cK72VQcwDR2Pzdz62v2H9iVf1w6mtSkWHtuTogwldYlhWe++ydv/HsKk57/GtMwdr9YRzUsj4tNjOKaR8dz8HFDdv36XTAMg74H9GTBD4uxHFh1brgMBhzSPudHSw+lEGKPV1ZWw7jxz+xwwU0olIKgv4jp3/yHvn37ct11N1FZm8EnXyzANJvwg4yGPfksS1NWvIiuWTV8OOld5i7ZyAdT5/H9rJVYlm5Yfb5lTuTW7YoMQzFiv56cMnpv9umf3e62EBEiVGuXbOKTV77nq7d/wVfnRymF6Wr4e6SBoD8IQFqXZE68ZCSjzhxKTHxUyNf9+s0feOjcp0KuszMPfH47+x+1t2P124oESiHEHu+td2fw31d+cOaUG+D8M3tw9NFHcuM/3mFzXnmLeia0tkhOiuGJR84mu3PDHMiaOh8r1hawbG0B5ZW1AMTHRtKnWyq9uqUSFeGx9T6EaI/qanysXriBFfPXU7ChmIA/SGS0ly59M+g1uCtZPVIxbFzE5qvzcUbWZVSWVdm76txQpGan8Pqqp21t755CAqUQYo931gUvkLu5zJHapqk44di9+eXXVRQVVYa0/Y9pKOLiInn28XPIaKXJ/UII+0197TseueAZ2+ve9/GtHHjcvrbX3RO0v4gshGhXKiprHQuT0LDt0FffLKKoOLQwCRC0NBUVtdx130cEHDoLWAjhvFHnjmD/Y4bYtr2PYRocOX54uw2TIIFSCLGHW7Ey3/FrVNf4bFk5Dg2hcvnKfN79YKYt9YQQrU8pxa1v/I2sXhkhh0rDNOi1bw7XPHeJTa3bM0mgFELs0YpLqtu6CS3y2sSfqHFw6xEhhLPikmJ57Id76LF3t5D2mB04vB8Pf3UnkdER9jVuDySBUgixRwvXad719QG++nZxWzdDCBGC+JQ4nvz5fs67+wwMl9Hk3krDNHB7XVzx2Pk8/NWdRMVGOtzStieBUgixR4uJ9rZ1E1pEKfjiqwVt3QwhRIhcbhdn33EKLy9+nJP/dgyRsQ09jUopXG4T023icpuNvZixidGcdvOJvLrsScZee1y7XNG9I7LKWwixR8vLL+eM855v62a0iNtt8vlHN+Bqh+f2CtFR+ep8rJy7huWzVrNpxWb89X7cEW669M2i17459Ni7G26Pu62b2erkpBwhxB4tLTWO2JgIKqvq2ropzeb3B9mwoZju3Tq1dVOEEDbxRHjoP7QP/Yf2aeum7FHk12YhxB5NKcURh/fHNMLzJJmKyvALwkII0VwSKIUQe7wTj9s75D0i24qcqCiE6AgkUAoh9njdu3XisOF9McKwlzI+rv2v7hRCCAmUQog9TjBobbdd0HVXjiI6youyqcvPMBQul7MfgR6Pi85ZSY5eQwgh9gSyKEcI0aa01iycv4Hp05awZOFG1qwswOcLABCfEEWf/pnsNTCbI48dxF23ncgtd7yLBYSyP4VpKlI7xdM5K5FZc9aEVGtnlILePdMwZYW3EKIDkG2DhBBtZvq0Jbz6wjQ2rCvGNA2COzj/WqmGhTkaGHZob/Y7tDf/eeoLgpaFYZjNvqZhKNLT4jn84Chef2MyZuT+NtzJjt183dEcd/Rgx+oLIcSeQgKlEKLVlZfV8MTDn/LjtKUo1fTeRsNUKGD5hu8ZeOBoyiutpr/XUFiWJi3Fz/RvJ7B58wYOO3wkkfHHUFMbbPG97ExkpJsP3/4bEREdbz86IUTHI2MxQohWVVhQwTUXv8zP3y8Dmjd0bQU1gYBFj8zhjBjSj6suHUl6WjwApmlst6LaMBRaN/R6GpSxYM7LfD7lYcaOHcOiRYuY9u03XHfV0bbc119dcv4ICZNCiA5DeiiFEK2mqrKOqy98kfzN5Tsc3m6ucWcN5eKrjmDu/HX8vnAjy5ZvZmNuKX5/EK/HRFsV/PjDp+RvXkhO9zSuuuoqxo8fT2xsbGMNrTX/uOsDfpu12patiUxT0a9PJk/+5+ywXJUuhBAtIYFSCNFqHrl3Mt98sQDLxj0l//3E2exzQE7jvy9YsIBnnnmGN998k/r6evr06UNebgVvvPoh69YUU1VZhwISkqLp1SeDvntl4Y3ycPUNb5KbWxpSqDQNRXJyDM8+fg4pybG7f4MQQrQTEiiFEK1i1oxV3Hb9W7bWNAxFYlIML7x5MZ99/gnPPvss06dPJyMjg4svvow+OYfy+eT5FORVAeByGdsMsW/tJR00pCtHHjuQtyb/xrr1JS3amkgpRUZ6PI89dCZpqXG23J8QQoQLCZRCiFZx/WWvsGThJlt7JxtoNhZ9x5KV0xgxYgRXXXUVvXvsx//d/wl5uWVNWvSzdcGOJ7KeNQXLSM3eD8PY8arzv9q6Ov3kMftw6YUjiIzw2HRfQggRPmRRjhDCcWtWFbDo940OhMmGOZA5nQ9hwYIFfPfdd+j6LG6+6k0K8sq3PL/7GlvbVVfjIjthEH+78HBGjdyrceNz0zQa50MqpRr3ljRNg8MO7cNzT5zDtVeOkjAphOiwZGNzIYTjZkxf3tgLaDelDHx1Bqkp2fzv9Z94+blvAVp0LUOZaAteeHwqdz14KlddOpIFizaybEUe6zcW4/MF8bhNOmcl0rtXOgP7dyYhIcruWxJCiLAjQ95CCMfdfet7/DJ9mSOBcquzzj+Et1790ZZaSoHLZTJh4uVkZcvRiUIIsTsy5C2EcNyq5XmOhknDVEx651fbzvnWuqGH8z/3TXG03UII0V5IoBRCOK621ufsBTTU1fqxc8AlGLRY9PsGfvp+qW01hRCivZJAKYRw3NZFLE5xqhfRMBST3/vNkdpCCNGeSKAUQjguPTOhrZvQIpal+X3uusYV40IIIXZMAqUQwnF9+mdhusL342bp4k1t3QQhhNijhe8nvBAibAzcO5tgIPSzu9uCaRqsXJbX1s0QQog9mgRKIYTjDjy4N3HxkW3djBYrLalu6yYIIcQeTQKlEMJxbrfJiafujzLs2dantcl2vUIIsWsSKIUQreLUs4eRmhbXeIShHZRSdEqLs63eji8CMbERzl5DCCHCnARKIYSt6uv8LJm3nm8+msMX783k28lzWfb7BgwFt9x1km29faZpkJWdyCEj+jq64CcYsOjZO92x+kII0R7IWd5CiJD5fAF++nIhn7z1C0vmrUfvYF9Iw1AM3L87J44ZwkcfzWk437CFDNMgPiGKBx8/myWLNvHhuzNDaf5u9e6X4Wh9IYQIdxIohRAhmT19OY/+4z1KCisxDLXDMAkNezou+G0N839dTWJSNCU+H7hdKNXM3kUFXbomc9//ncm6Dct57c0XCFoZmIbHhrv5y6UUdOneieyuKbbXFkKI9kQCpRCiRYKBIM/eO4XP/vdr42Kb3Z1Ys/X5ipIqTA0JWZGU1AYwXSbB4O63FTJNg1PPPpCAuYZjjz+C2bNn06VLFw4fejF5G5TtJ+ZoDSefdoBtZ4QLIUR7JXMohRDNFgwEeeC6t/j8nV8BdtoruXMKpRTluRUctHcXDh3ZD7fb/OPZv+Q3Zfgpr/2drv3zuf7WU7j88stIT0/n448/ZvXq1Tz8+DW4Pfb+fmwYiozMBI44aqCtdYUQoj1SWvbDEEI003///Qkfvvojdn16nHvtKE679HDWryti9cp8qqvqMQxFXLyXZStm8+jj/2bp0qUkJydz+eWXc8kll9C1a9dtanz60RyeeOhTexq0xWMvnM9eg7JtrSmEEO2RBEohRLMsnLWGm8e/ADZ+chiG4qkP/0ZO30wAVqxYwYQJE3jllVcoLi7m8MMPZ/Zvczj9hEsZ3GcYy+ZvoDCvDCuoiYz20nOvTHoN6MziZXnMmLHSlqB7ydVHcurZQ0MvJIQQHYAESiFEk1mWxaXHPMrm9cW2zlc0TIMe/TI47OwsnnvuOb7++msSExO54IILGH/Wecz+eiOTXvseHVSYLmO7YxyNP83hTEiNo7jWh3YZzZ77qLYsKrrwipGcce7Btt2fEEK0dxIohRBNNvfnFdx2wUuO1f953WsM2DeHyy+/nHHjxrFw5noe/cd7VJRWNznAGkbD4pygx8CIi8Rq4hHihqGIT4zm5jvGsN9BPUK4CyGE6HhklbcQosk++9+vGKaB1YQV2c2mNNdddA93P3MJAB++Op0JD36KUqpZm6FvDZ4uv0WMBTVuE58/uF3PplJgGAbBoEV8QhQnjN2XU848iOgYORVHCCGaSwKlEKJJtNbM/3W1M2ESQCs2Li8D4NO3ZzDhwU8br9uichqqy2vJ7t6Jk684nHVrilixNJeK8lqUoUhOiaV33wz67pXFvgfm4HKZuy8qhBBihyRQCiGapLiggsqyGkevkbuhmCVz1/PsvVNsqWcFLTasLmDZzNVcc89YW2oKIYTYnuxDKYRokvyNpc5fRMOj/3jX1pKWpfn8nZnM/WWlrXWFEEL8QQKlEKJJmnKSjR02rimyfVjdMBQTn/ra1ppCCCH+IIFSCNEk3gh3q1ynuUd7N4VlaRbNXsu6Ffn2FxdCCCGBUgjRNF16pEIrHGmtHeoINUyDH79c4ExxIYTo4CRQCiGaJDLaS2aXZAev4OyWuNrSLF+w0dFrCCFERyWBUgjRZMNGDcAwnemmVEo52gOqtWblok3OXUAIITowCZRCiCY79owDbD1ycRtKNR6h6JTa6npH6wshREclgVII0WQZ2cmMOGYQhmnvR4dhKHoNyEI5PElTGfKRJ4QQTpBPVyFEs1z+zzFExXhRNmU/ZSgSU2IZPXZfx7cmSk6NdbS+EEJ0VHJSjhBiO8GgxdzvlrDo15Usn7uW/PXFBIMWUTER9BjUheFH9uPzSXNCvk7DedqKWx49g5jYSBtavnOmadB37y6OXkMIIToqCZRCiEa+Oj8fTfiWyf/9lpK8ckyXgRW0+PNx2uuW5WIFNdrthpgolIKWHLdtmApDKW5/ajwD988hGAjiiXDhqwvYd0N/ErQs+g3p6khtIYTo6CRQCiEAWDp7DY9c+Qqb1xaityy8CQa2H4JufMznQ1VprKhIMFSz5j8qpUjNTOTv/zmDnH5pvPXWWzz//PMUbvbQNWEflAO7m3s8LoYfM8j2ukIIIWQOpRAC+Pb9X7nh2IfJW1fUGCabQvv8qLIKVJ2vYU7lliHsHWl4XGNpP6deMpy/P3kir779DJ07d+bss8/G5XJx/V3nOrJwxjANjjxpX6JjI2yvLYQQQnoohejwpk+ZzSNXvgIadEs3F6+phfp6Urp2oue+OaxclEtRXnnj06mZCfTduwtRyUFuuPNCit/+ngtvmk1iYiLnn38+l156KX379gXAKp3ClIm/NCvY7opSEBnlYfw1R9pSTwghxPYkUArRgeWvL+I/V71qSy0dtChZW0Dy8D7c9f0/CAaC+H1B3B6TvPw8XnzxRZ5+bgKWDrB69WpeeeUVhh84kg1LC1g8bSMLv15PZEwEB43owy/fLKYovwLLhlXfWsPVd59MYoqs8BZCCKcorVsynV4IEe601tx68mMsmrHS9u16Hpx0HYMO7s3XX3/Nc889x8cff0xERATjx48n2hXHJ69+z8D0YVSX1wJbhsOVwrKshhMYXSZmYjxa65A3Uj/zypGce+1oG+5KCCHEzsgcSiE6qAU/L+f3n5bbHiaVoXjw6ufo1asXRx11FKtWreKpp55i3Zr1DOt6LEveq6R7xODGMAlgWbqhN3JrdgwEscoqsPwBWvI7r2EolILzbziKc64ZZdOdCSGE2BkZ8haig/r4pe8wTMOWYeU/05amIreeAw8+hDfffJODDjqIgo0l/OOkJ9m4Ig+tadIqbu0PQHklREZAZATKULudV7n1NWmdE7n5kTPoJ/tOCiFEq5BAKUQH5Kvz88tn820Pk1sZpsFRB4xl6NCh5G8o5oZjHqasqLJF+1Wq2jrw+dBeL2ZMZMO2Rapho3KFwtK68T56D+jMmHOGccjRA/F45ONNCCFai3ziCtEBrVmyydFjDrVlsWzOWnx1fu447UnKiipDC69BC2pqCdbUcumDZ+CNiaQor3zL6T1euvfJoOdeWSR1koU3QgjRFiRQCtEBrVn4/+3de3BU5R3G8ed9z4aQBIKopEEB0TSB2EERKY0OFEUFEdBaahEBGRjwUryh1trOaMU6ikUoxYKpl5Z6qVVsC1HEAHZUUKsELdqCgkHGEQS5BHKBbLJ7Tv8IpAhBsnvOwW7y/cwww17yO2f/2J1n3svv/TzU+p4nffLBZ3pmxkvaXP5lUusgm2Ks0fMzF+uxf05Tuw6ZgdQEAPjHphygFaqu3CvrhPv131u1TwseXhpYmJT2r8+sqNGzM18OrCYAwD8CJdAKWWuTO4A7AZ7nyRzh1Bw/3Lirl59codqaaOC1AQDJIVACrVDHnGzf/R2PprEVUAhqa6Ja+dL7odQGACSOQAm0Qt8+I9x2Op53UE/JEDgRR2vfLQ/vAgCAhBAogVbo5LwcZbZvG1p9Y8P9aYnH4vqobGOo1wAANB+BEmiFrLUafNW5oW3MMTJyIuH+vGzfXBFqfQBA8xEogVZq2ISBDWdnB8w6Vl0LciUFvyHnYGH20QQAJIY+lEALFo/F9e83P9L6so3a+MEmVe+ukbVWHb91nPL7nKrzftBXry9afdQjDRMRSXN0ztAztWBOaWA1m5KRlR5qfQBA8xEogRaocmeVSuaVqmTeK6rYtkfGGhljGnddO2mOFj8alySl55wo15jA+kVOumekTjotR8/NfiWQek0xxui0Xl1Dqw8ASAyBEmhhVv79Hc2aXKya3TWNrYE815N30LbreH288f91uypk22cHspHm4nH9NXziQFVs3+O71tex1qig9ymhXgMA0HysoQRaCNd1Ne+WP2rayIdUXVHT7D6TXiyueGWlPDfua5Tyssnn65wre2jq1Kkq7NVDFfVb5SmcdY7xuKtzL+kdSm0AQOKMF+S5aAC+EZ7nae5Nf9CiuT6mmY2RzcqUTW8rY81R11Ua03DYTp27T3kXHqc31pTq448/Vm5urkaPHq0zuhTpuQf+kfz9HOm6+0cnZ5feGXhtAEBymPIGWoDlT7/hL0xKkufJra6RWxtVJDNDTkZbxWOurDUyjm1oVG7+N12e0bGNdpiNenP9Ur3+V1djxozRnDlzNGjQIEUiEdXXxbTiLx9q62c7Az0xx3M9XXXbsMDqAQD8Y4QSSHE7tuzSxMKbta+6NrDTaWzEKq/3qZo042pt/PBzbd9coWhtVFu2bdbaTWu08r1XVR2r0JAhQ9StWzcVFxdrxYoV6t+/v6SG6fct5du0cuEqzb9voTyvYWRRkYiMSb6dkHWsBl7eV3c8MjGYDwoACAQjlECKe276QkX31gV61KEbc7WhrFxV2/fo+NMjWvL+Ur3wwguqrKxUv3799KsZd2vUqFHKycmR67patWqVpt4yVfPnPK0Xi5fpzUWrVFtd23RxxzZMq6e3SShcWscqt9sJuv6BUQF9SgBAUBihBFLYvup9+nHnyaqtiQZf3Eg1aXv0dnSZ8vLyNHbsWI0ZM0b5+fmHvbXk+cWaduVDOt7kyIlYxWPNm+K2WZkybY4eLA+EyQcX3aoTO3dM6uMAAMLDCCWQwt4uKQsnTEqSJ2XVdVBpyTJdNPyCI4a+5U+v0O+vfVbH206Sp2aHSUlya/ZK0To57do1TIkf4sDmoAGX9tGUB0erfcespD8OACA8BEoghX307idy0pyv9JUMWjuvwxHD5IvFyzRnyuP7HyW5NjIWU7yqUk779o29MA+McnYvPElX33mpii4+M7naAIBjgkAJpLD1q8tDDZNOxOqT9z7VuZd+97DXVr3yL8254fEm/ioJcVduzV5ln9xJeb26qqBPd/UffpYKzuruaxMPAODYIFACKaxiW7gn0sgY7dlRedjT1btr9OsJ82QCPLLRq6/X+NuHasT1gwOpBwA4djgpB0hlIW+pM2poXn6oJ6ctUOXOqqM2P09U8U+fUuXOqkBrAgDCR6AEUliHnOxQ67uep+wT2n3lub1V+/Ty468G2qz8gPpovUr/9FrgdQEA4WLKG0hhPfrmaX1ZeOso3Zire3/zSy1Y/ZSKiopUVFSkPeuiiu6rC+V6nuupZG6prrh1RCj1AQDhYIQSSGE9++WHuilHkq685gq5rqtZs2Zp8ODBuueW+wJbN9mUrZu2a9fW3aHVBwAEj0AJpLCiEWcrPaNNKLWtY9VrQKHun3mflixZop07d2rdunXKzymUSbZFUDNtWL0x1PoAgGARKIEUlpWdqcHjz5MTCf6r7MZdXXbD0MbH1lr17NlTtbtDaqS+n7FGX3y6LdRrAACCRaAEUtzoX/xQaelpgda0jlV+n9PU//J+h70WD2EzzsGMMYqFPI0PAAgWgRJIcZ26nKApv50YaE1rjX721I1yIs5hr7VpG2x4PZTrumqbmR7qNQAAwSJQAi3AkAnna+ikC5I+/fBQtz3xE51S2KXJ1045vennA+NJ3b/TNdxrAAACRaAEWgBjjG5+ZLKGX3NR4+NEWcfKWKM75t+gC8d+/4jv69kvv8mRy8AYKa939/DqAwACR6AEWgjHcXTTvMn6+TM3KzM7Q9Zp3tfbmIZ/XQo6a+6703XR1QO/9v1Fw/ooHgtnjeOBneUZ7dqGUh8AEA7jhdlQDsA3omLbbi18eIleLF6qql3VDeHS8+TuPyrRiVi5cU+e56lLj5N0+Y2XaOikQUprc/T1ka7ralzejfrysx2h3Pvdz9+qASO/F0ptAEA4CJRAC1ZfV681r63V+rJyla/ZpKpd1XIcq46dj1NBnzwVFuWroG9ewlPkix9drtnXPxbovVrHKrd7Jz3xn1mKpHGIFwCkEgIlgIS5rqvbB03T2rfXKx4Lpo2QMUazV96r04sKAqkHADh2WEMJIGHWWt0xf4oyszObvVbzaMbdPZIwCQApikAJICm53XM0Y/ldysrOkPV5Us/IqcM09q4fBXRnAIBjjSlvAL5sKd+q6eN+p3XvbEjo75yIlRNxdN3M8Rp+7YVJtToCAPx/IFAC8C0ed1Uyr1R/vv9v2v1lpaxj5TZ1RKNpmC73XE/njDhb180ar86n5hz7GwYABIpACSAwsfqY3lpUprdKyrTunQ36onyrDvzCZGZnqEffPPUa0FNDJpyvnK4nfrM3CwAIDIESQGjq62KK7o3KiThqm5XOtDYAtFAESgAAAPjCLm8AAAD4QqAEAACALwRKAAAA+EKgBAAAgC8ESgAAAPhCoAQAAIAvBEoAAAD4QqAEAACALwRKAAAA+EKgBAAAgC8ESgAAAPhCoAQAAIAvBEoAAAD4QqAEAACALwRKAAAA+EKgBAAAgC8ESgAAAPhCoAQAAIAvBEoAAAD4QqAEAACALwRKAAAA+EKgBAAAgC8ESgAAAPhCoAQAAIAvBEoAAAD4QqAEAACALwRKAAAA+EKgBAAAgC8ESgAAAPhCoAQAAIAvBEoAAAD4QqAEAACALwRKAAAA+EKgBAAAgC8ESgAAAPhCoAQAAIAvBEoAAAD48l/uCPyFTRNw3AAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "nx.draw(G, pos=nx.kamada_kawai_layout(G), node_color=[cover_complex.node_info_[v][\"colors\"][0] for v in G.nodes()])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2. You can create a DOT file that can be processed later with `neato` to produce a PDF."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "cover_complex.save_to_dot(file_name=\"human\", color_name=\"color\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "!neato -Tpdf human.dot -o human.pdf"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3. You can create an HTML file and visualize it in browser."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "'human.html' is generated. You can now use your favorite web browser to visualize it.\n"
     ]
    }
   ],
   "source": [
    "cover_complex.save_to_html(file_name=\"human\", data_name=\"human\", cover_name=\"uniform\", color_name=\"height\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <iframe\n",
       "            width=\"100%\"\n",
       "            height=\"500px\"\n",
       "            src=\"human.html\"\n",
       "            frameborder=\"0\"\n",
       "            allowfullscreen\n",
       "            \n",
       "        ></iframe>\n",
       "        "
      ],
      "text/plain": [
       "<IPython.lib.display.IFrame at 0x701af5d39650>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import IFrame\n",
    "IFrame(src=\"human.html\", width='100%', height='500px')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Alternatively, you can create a TXT file that you can process later with our KeplerMapper wrapper to produce the HTML file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "cover_complex.save_to_txt(file_name=\"human\", data_name=\"human\", cover_name=\"uniform\", color_name=\"height\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "'human.html' is generated. You can now use your favorite web browser to visualize it.\n"
     ]
    }
   ],
   "source": [
    "!python ./utils/KeplerMapperVisuFromTxtFile.py -f human.txt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Topological features"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this section, we will do a variety of post-processing, statistical tasks for the computed cover complex, including, e.g., computing the topological features and/or assessing their stability. For these operations, we will need a set of helper functions, which we define below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "cover_complex = MapperComplex(\n",
    "    input_type='point cloud', min_points_per_node=0,\n",
    "    clustering=None, N=100, beta=0., C=10,\n",
    "    filter_bnds=None, resolutions=None, gains=None,\n",
    "    verbose=verbose)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "_ = cover_complex.fit(X, filters=height, colors=height)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "cover_complex.data = X"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.sparse.csgraph    import dijkstra, shortest_path, connected_components\n",
    "from scipy.stats             import ks_2samp\n",
    "\n",
    "def find(i, parents):\n",
    "    if parents[i] == i:\n",
    "        return i\n",
    "    else:\n",
    "        return find(parents[i], parents)\n",
    "\n",
    "def union(i, j, parents, f):\n",
    "    if f[i] <= f[j]:\n",
    "        parents[j] = i\n",
    "    else:\n",
    "        parents[i] = j\n",
    "        \n",
    "def compute_topological_features(M, threshold=0.):\n",
    "    \"\"\"\n",
    "    Compute the topological features (connected components, up/down branches, loops) of the 1-skeleton of the cover complex. Connected components and loops are computed with scipy functions, and branches are detected with Union-Find and 0-dimensional persistence of the 1-skeleton.\n",
    "    Parameters:\n",
    "        threshold (float): any topological feature whose size is less than this parameter (relative to the first color function) will be discarded.\n",
    "    Returns:\n",
    "        dgm (list of (dim,(a,b)) tuples): list of feature characteristics. dim is the topological dimension of the feature (0 for CCs and branches, 1 for loops), a,b are the min and max of the first color function along the feature.\n",
    "        bnds (list of lists): list of feature points. Each element of this list is the list of point IDs forming the corresponding feature. \n",
    "    \"\"\"\n",
    "    st = M.simplex_tree_\n",
    "    num_nodes = st.num_vertices()\n",
    "    function, namefunc, invnamefunc = {}, {}, {}\n",
    "    nodeID = 0\n",
    "    for (s,_) in st.get_skeleton(0):\n",
    "        namefunc[s[0]] = nodeID\n",
    "        invnamefunc[nodeID] = s[0]\n",
    "        function[s[0]] = M.node_info_[s[0]][\"colors\"][0]\n",
    "        nodeID += 1\n",
    "    dgm, bnd = [], []\n",
    "\n",
    "    # connected_components\n",
    "    A = np.zeros([num_nodes, num_nodes])\n",
    "    for (splx,_) in st.get_skeleton(1):\n",
    "        if len(splx) == 2:\n",
    "            A[namefunc[splx[0]], namefunc[splx[1]]] = 1\n",
    "            A[namefunc[splx[1]], namefunc[splx[0]]] = 1\n",
    "    _, ccs = connected_components(A, directed=False)\n",
    "    for ccID in np.unique(ccs):\n",
    "        pts = np.argwhere(ccs == ccID).flatten()\n",
    "        vals = [function[invnamefunc[p]] for p in pts]\n",
    "        if np.abs(min(vals) - max(vals)) >= threshold:\n",
    "            dgm.append((0, (min(vals), max(vals))))\n",
    "            bnd.append([invnamefunc[p] for p in pts])\n",
    "\n",
    "    # loops\n",
    "    G = M.get_networkx()\n",
    "    try:\n",
    "        from networkx import cycle_basis\n",
    "        bndall = cycle_basis(G)\n",
    "        for pts in bndall:\n",
    "            vals = [function[p] for p in pts]\n",
    "            if np.abs(min(vals) - max(vals)) >= threshold:\t\n",
    "                dgm.append((1,(min(vals), max(vals))))\n",
    "                bnd.append(pts)\n",
    "    except ImportError:\n",
    "        print(\"Networkx not found, loops not computed\")\n",
    "        \n",
    "    # branches\n",
    "    for topo_type in [\"downbranch\", \"upbranch\"]:\n",
    "\n",
    "        lfunction = []\n",
    "        for i in range(num_nodes):\n",
    "            lfunction.append(function[invnamefunc[i]])\n",
    "\n",
    "        # upranch is downbranch of opposite function\n",
    "        if topo_type == \"upbranch\":\n",
    "            lfunction = [-f for f in lfunction]\n",
    "\n",
    "        # sort vertices according to function values and compute inverse function \n",
    "        sorted_idxs = np.argsort(np.array(lfunction))\n",
    "        inv_sorted_idxs = np.zeros(num_nodes)\n",
    "        for i in range(num_nodes):\n",
    "            inv_sorted_idxs[sorted_idxs[i]] = i\n",
    "\n",
    "        # go through all vertices in ascending function order\n",
    "        persistence_diag, persistence_set, parents, visited = {}, {}, -np.ones(num_nodes, dtype=np.int32), {}\n",
    "        for i in range(num_nodes):\n",
    "\n",
    "            current_pt = sorted_idxs[i]\n",
    "            neighbors = np.ravel(np.argwhere(A[current_pt,:] == 1))\n",
    "            lower_neighbors = [n for n in neighbors if inv_sorted_idxs[n] <= i] if len(neighbors) > 0 else []\n",
    "\n",
    "            # no lower neighbors: current point is a local minimum\n",
    "            if lower_neighbors == []:\n",
    "                parents[current_pt] = current_pt\n",
    "\n",
    "            # some lower neighbors exist\n",
    "            else:\n",
    "\n",
    "                # find parent pg of lower neighbors with lowest function value\n",
    "                neigh_parents = [find(n, parents) for n in lower_neighbors]\n",
    "                pg = neigh_parents[np.argmin([lfunction[n] for n in neigh_parents])]\n",
    "\n",
    "                # set parent of current point to pg\n",
    "                parents[current_pt] = pg\n",
    "\n",
    "                # for each lower neighbor, we will create a persistence diagram point and corresponding set of nodes\n",
    "                for neighbor in lower_neighbors:\n",
    "\n",
    "                    # get parent pn\n",
    "                    pn = find(neighbor, parents)\n",
    "                    val = lfunction[pn]\n",
    "                    persistence_set[pn] = []\n",
    "\n",
    "                    # we will create persistence set only if parent pn is not local minimum pg\n",
    "                    if pn != pg:\n",
    "                        # go through all strictly lower nodes with parent pn\n",
    "                        for v in sorted_idxs[:i]:\n",
    "                            if find(v, parents) == pn:\n",
    "                                # if it is already part of another persistence set, continue\n",
    "                                try:\n",
    "                                    visited[v]\n",
    "                                # else, mark visited and include it in current persistence set\n",
    "                                except KeyError:\n",
    "                                    visited[v] = True\n",
    "                                    persistence_set[pn].append(v)\n",
    "\n",
    "                        # add current point to persistence set\n",
    "                        persistence_set[pn].append(current_pt)\n",
    "\n",
    "                        # do union and create persistence point corresponding to persistence set if persistence is sufficiently large\n",
    "                        if np.abs(lfunction[pn]-lfunction[current_pt]) >= threshold:\n",
    "                            persistence_diag[pn] = current_pt\n",
    "                            union(pg, pn, parents, lfunction)\n",
    "\n",
    "        for key, val in iter(persistence_diag.items()):\n",
    "            if topo_type == \"downbranch\":\n",
    "                dgm.append((0, (lfunction[key],  lfunction[val])))\n",
    "            elif topo_type == \"upbranch\":\n",
    "                dgm.append((0, (-lfunction[val], -lfunction[key])))\n",
    "            bnd.append([invnamefunc[v] for v in persistence_set[key]])\n",
    "\n",
    "    bnd = [list(b) for b in bnd]\n",
    "    M.persistence_diagram, M.persistence_sets = dgm, bnd \n",
    "    return dgm, bnd\n",
    "\n",
    "def bootstrap_topological_features(M, N):\n",
    "    \"\"\"\n",
    "    Use bootstrap to empirically assess stability of the features. This function computes a distribution of bottleneck distances, that can used afterwards to run tests on each topological feature.\n",
    "    Parameters:\n",
    "        N (int): number of bootstrap iterations.\n",
    "    \"\"\"\n",
    "\n",
    "    dgm = M.persistence_diagram\n",
    "    num_pts, distribution = len(M.data), []\n",
    "    for bootstrap_id in tqdm(range(N)):\n",
    "\n",
    "        # Randomly select points\n",
    "        idxs = np.random.choice(num_pts, size=num_pts, replace=True)\n",
    "        Xboot = M.data[idxs,:] if M.input_type == \"point cloud\" else M.data[idxs,:][:,idxs]\n",
    "        f_boot, c_boot = M.filters[idxs,:], M.colors[idxs,:]\n",
    "        Mboot = M.__class__(filter_bnds=M.filter_bnds, resolutions=M.resolutions, gains=M.gains, \n",
    "                            input_type=M.input_type, clustering=M.clustering).fit(Xboot, filters=f_boot, colors=c_boot)\n",
    "\n",
    "        # Compute the corresponding persistence diagrams\n",
    "        dgm_boot, _ = compute_topological_features(Mboot)\n",
    "\n",
    "        # Compute the bottleneck distance\n",
    "        npts, npts_boot = len(dgm), len(dgm_boot)\n",
    "        D1 = np.array([[dgm[pt][1][0], dgm[pt][1][1]] for pt in range(npts)]) \n",
    "        D2 = np.array([[dgm_boot[pt][1][0], dgm_boot[pt][1][1]] for pt in range(npts_boot)])\n",
    "        bottle = bottleneck_distance(D1, D2)\n",
    "        distribution.append(bottle)\n",
    "        M.distribution = np.sort(distribution)\n",
    "\n",
    "def get_distance_from_confidence_level(M, alpha=.95, complex_type='mapper'):\n",
    "    \"\"\"\n",
    "    Compute the bottleneck distance threshold corresponding to a specific confidence level.\n",
    "    Parameters:\n",
    "        alpha (float): confidence level.\n",
    "    Returns:\n",
    "        distance value (float); each feature whose size is above this distance is sure at confidence level alpha.\n",
    "    \"\"\"\n",
    "    return M.distribution[int(alpha*len(M.distribution))]\n",
    "\n",
    "def get_confidence_level_from_distance(M, distance):\n",
    "    \"\"\"\n",
    "    Compute the confidence level of a specific bottleneck distance threshold.\n",
    "    Parameters:\n",
    "        distance (float): bottleneck distance threshold.\n",
    "    Returns:\n",
    "        confidence level (float); each feature whose size is above the distance threshold is sure at this confidence level.\n",
    "    \"\"\"\n",
    "    return len(np.argwhere(M.distribution <= distance))/len(M.distribution)\n",
    "\n",
    "def get_pvalue(M):\n",
    "    \"\"\"\n",
    "    Compute the p-value, i.e. the opposite of the confidence level of the largest bottleneck distance preserving the topological features.\n",
    "    Returns:\n",
    "        p-value (float)\n",
    "    \"\"\"\n",
    "    distancemin = min([np.abs(pt[1][0]-pt[1][1]) for pt in M.persistence_diagram])\n",
    "    return 1.-M.compute_confidence_from_distance(distancemin)\n",
    "\n",
    "def compute_differential_coordinates(M, nodes=None, features=None, sparse=False):\n",
    "    \"\"\"\n",
    "    Compute the coordinates that best explain a set of nodes VS the rest of the nodes (in the 1-skeleton of the cover complex) with a Kolmogorov-Smirnov test. Only works if input_type is \"point cloud\".\n",
    "    Parameters:\n",
    "        nodes (list of integers): list of nodes to try. For instance, one can take the list of nodes obtained after calling \"compute_topological_features\"\n",
    "        features (list of integers): the coordinates to try. All coordinates are tested if None.\n",
    "        sparse (bool): set to True if your data is sparse and there will be speedup, otherwise use False.\n",
    "    Returns:\n",
    "        features (list of integers): the list of coordinates, ranked from smallest to largest p-values.\n",
    "        p-values (list of float): the corresponding p-values. \n",
    "    \"\"\"\n",
    "    if M.input_type == \"distance matrix\":\n",
    "        print(\"Need coordinates for running differential coordinates!\")\n",
    "        raise\n",
    "\n",
    "    node_info = M.node_info_\n",
    "    X = M.data\n",
    "    nodes = [s[0] for s,_ in self.simplex_tree_.get_skeleton(0)] if nodes is None else nodes\n",
    "\n",
    "    if features is None:\n",
    "        features = np.arange(X.shape[1])\n",
    "\n",
    "    list_idxs1 = list(np.unique(np.concatenate([node_info[node_name][\"indices\"] for node_name in nodes])))\n",
    "    list_idxs2 = list(set(np.arange(X.shape[0]))-set(list_idxs1))\n",
    "    pvals = []\n",
    "    for f in features:\n",
    "        if sparse:\n",
    "            Xsp = csr_matrix(X)\n",
    "            group1 = np.squeeze(np.array(Xsp[list_idxs1,f].todense()))\n",
    "            group2 = np.squeeze(np.array(Xsp[list_idxs2,f].todense()))\n",
    "        else:\n",
    "            group1, group2 = X[list_idxs1,f], X[list_idxs2,f]\n",
    "        _,pval = ks_2samp(group1, group2)\n",
    "        pvals.append(pval)\n",
    "    pvals = np.array(pvals)\n",
    "    F, P = features[np.argsort(pvals)], np.sort(pvals) \n",
    "    return F, P"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are various postprocessing one can do on a cover complex. For instance, one can compute the topological features in the complex. For our human shape, the topological features (identified by computing the persistence of the color function on the complex) are the three branches corresponding to the arms and legs (the lower leg correspond to the whole connected component)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "dgm, bnd = compute_topological_features(cover_complex, threshold=0.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 800x200 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = cover_complex.get_networkx()\n",
    "plt.figure(figsize=(8,2))\n",
    "for idx, bd in enumerate(bnd):\n",
    "    plt.subplot(1,len(bnd),idx+1)\n",
    "    nx.draw(G, pos=nx.kamada_kawai_layout(G), \n",
    "            node_color=[1 if node in bd else 0 for node in G.nodes()], node_size=5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can also identify the robust topological features by bootstrapping, and select those associated to 95% confidence."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 100/100 [00:24<00:00,  4.02it/s]\n"
     ]
    }
   ],
   "source": [
    "bootstrap_topological_features(cover_complex, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "dist = get_distance_from_confidence_level(cover_complex, .85)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "bnd_boot = [b for idx, b in enumerate(bnd) if np.abs(.5 * (dgm[idx][1][1]-dgm[idx][1][0])) >= dist]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x200 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = cover_complex.get_networkx()\n",
    "plt.figure(figsize=(8,2))\n",
    "for idx, bd in enumerate(bnd_boot):\n",
    "    plt.subplot(1,len(bnd_boot),idx+1)\n",
    "    nx.draw(G, pos=nx.kamada_kawai_layout(G), \n",
    "            node_color=[1 if node in bd else 0 for node in G.nodes()], node_size=5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, one can identify the coordinates that best explain a topological feature VS the rest of the complex with a Kolmogorov-Smirnov test. In particular, for each topological feature, we can rank the coordinates with respect to their p-values. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For instance, coordinate 0 (height) is the one that best distinguishes the topological structures from the rest."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([0, 1, 2]), array([0., 0., 0.]))"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "compute_differential_coordinates(cover_complex, nodes=bnd[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([1, 2, 0]), array([0.00000000e+000, 0.00000000e+000, 4.87710222e-147]))"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "compute_differential_coordinates(cover_complex, nodes=bnd[2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([0, 2, 1]), array([0.00000000e+000, 0.00000000e+000, 3.13211519e-128]))"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "compute_differential_coordinates(cover_complex, nodes=bnd[3])"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
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    "name": "ipython",
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   "file_extension": ".py",
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