{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "toc_visible": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "# Centrality scores"
      ],
      "metadata": {
        "id": "KGsFRtEdIsxC"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "0zTNrGQwGLhX",
        "outputId": "889bbb41-31c5-4047-c802-43d986f30514"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Graph edges: [(1, 2), (1, 3), (2, 3), (3, 4), (4, 5), (4, 6)]\n",
            "\n",
            "Degree Centrality:\n",
            "Node 1: 0.40\n",
            "Node 2: 0.40\n",
            "Node 3: 0.60\n",
            "Node 4: 0.60\n",
            "Node 5: 0.20\n",
            "Node 6: 0.20\n",
            "\n",
            "Closeness Centrality:\n",
            "Node 1: 0.50\n",
            "Node 2: 0.50\n",
            "Node 3: 0.71\n",
            "Node 4: 0.71\n",
            "Node 5: 0.45\n",
            "Node 6: 0.45\n",
            "\n",
            "Betweenness Centrality:\n",
            "Node 1: 0.00\n",
            "Node 2: 0.00\n",
            "Node 3: 0.60\n",
            "Node 4: 0.70\n",
            "Node 5: 0.00\n",
            "Node 6: 0.00\n"
          ]
        }
      ],
      "source": [
        "import networkx as nx\n",
        "\n",
        "# Step 1: Create a small undirected graph\n",
        "graph = nx.Graph()\n",
        "graph.add_edges_from([\n",
        "    (1, 2), (1, 3), (2, 3), (3, 4), (4, 5), (4, 6)\n",
        "])\n",
        "\n",
        "print(\"Graph edges:\", list(graph.edges))\n",
        "\n",
        "# Step 2: Compute Degree Centrality\n",
        "degree_centrality = nx.degree_centrality(graph)\n",
        "print(\"\\nDegree Centrality:\")\n",
        "for node, centrality in degree_centrality.items():\n",
        "    print(f\"Node {node}: {centrality:.2f}\")\n",
        "\n",
        "# Step 3: Compute Closeness Centrality\n",
        "closeness_centrality = nx.closeness_centrality(graph)\n",
        "print(\"\\nCloseness Centrality:\")\n",
        "for node, centrality in closeness_centrality.items():\n",
        "    print(f\"Node {node}: {centrality:.2f}\")\n",
        "\n",
        "# Step 4: Compute Betweenness Centrality\n",
        "betweenness_centrality = nx.betweenness_centrality(graph)\n",
        "print(\"\\nBetweenness Centrality:\")\n",
        "for node, centrality in betweenness_centrality.items():\n",
        "    print(f\"Node {node}: {centrality:.2f}\")\n"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "pos = nx.spring_layout(graph)  # Layout for consistent positioning\n",
        "\n",
        "# Plot Degree Centrality\n",
        "plt.figure(figsize=(12, 4))\n",
        "plt.subplot(1, 3, 1)\n",
        "nx.draw(graph, pos, with_labels=True, node_color='skyblue', edge_color='gray', node_size=[v * 1000 for v in degree_centrality.values()], font_weight='bold')\n",
        "plt.title(\"Degree Centrality\")\n",
        "\n",
        "# Plot Closeness Centrality\n",
        "plt.subplot(1, 3, 2)\n",
        "nx.draw(graph, pos, with_labels=True, node_color='lightgreen', edge_color='gray', node_size=[v * 1000 for v in closeness_centrality.values()], font_weight='bold')\n",
        "plt.title(\"Closeness Centrality\")\n",
        "\n",
        "# Plot Betweenness Centrality\n",
        "plt.subplot(1, 3, 3)\n",
        "nx.draw(graph, pos, with_labels=True, node_color='lightcoral', edge_color='gray', node_size=[v * 1000 for v in betweenness_centrality.values()], font_weight='bold')\n",
        "plt.title(\"Betweenness Centrality\")\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 407
        },
        "id": "P2ZGl_3kGMd-",
        "outputId": "f41f58f3-189c-4d95-ac4e-881cccf527ad"
      },
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x400 with 3 Axes>"
            ],
            "image/png": 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1a9Y0+zP82jfffCMAiNdff92m9T/99FMhk8nq/T6FEOK///2vACD27t1rWQZAqFQqkZWVZVlWl2VvvfWWZdkrr7zSIG+v34ZMJhOnTp1q8Nqvs0Wv14tevXqJCRMm1Fv+678Tdf99rs+ym266SSQmJjYYY9OmTQKA+OGHH+ot79OnT728IiLHqPvM/+s/arVaLF++vN669nzWTU1NbfTf7EMPPSQiIyMt3z/++ONizJgxIiIiwvKZsri4WEiSJN544w0hhH37bkfnhhC1n5cBiP/973+WZTqdTkRFRYlbbrnFsszW/fXrr78uAIjCwsIGv586tmRkY/r37y8CAwNtWtee3+szzzwjAIi777673jZmz54tQkND6y3z9fWtlwG/3saiRYsavNbYscuqVasaHC/V/X29Pr9+fTxz8ODBBsczdYYPHy6GDh1ab9mXX37Z5PEWuR9v36Nm+fn5WZ7CV1JSgm3btmH+/PmorKxEUVERioqKUFxcjKlTp+LcuXO4evUqAGDjxo0YPnx4vYnnQkJCmjz72alTJ0ydOrXesjVr1mD06NEIDg62jFVUVIRJkybBZDJh165dlvUCAwMxefLkeusNHDgQfn5+2L59e5M/X0VFBQDYdCa7JWP17Nmz3hmg8PBwdO/eHRcuXLBpPKDx3w2AevNK1Z35Gjt2LC5cuGD1thJbdevWDUOHDsWKFSssy0pKSvDDDz9g8eLFNp/RICLPYe9+rzHff/89hgwZUu+2AT8/P9x33324dOkSTp8+DaD21pArV67g4MGDjW5HCIF169ZhxowZEELU269OnToV5eXl9W6lA2ov1b9+bom6fWzdfvXo0aM4d+4cbr31VhQXF1u2V11djYkTJ2LXrl2WW8CDgoKQlpbW5FOK6q6E2rRpU71bF6xpSbb06NEDKSkp9X4HEyZMAIAG2TJp0qR6Z6X79OmDgIAAu7Jl7Nix6NmzZ4Pl12dLaWkpysvLMXr06Ab/HVpj0qRJiImJqZctJ0+exPHjx3kFLpETvfPOO9iyZQu2bNmCzz77DOPHj8c999xT72mgrflcXWf06NHIz8/H2bNnAdReETVmzBiMHj0au3fvBlB79ZQQwrIPt3Xf7YzcqOPn51dvH6RSqTBkyJB669m6v657wMQ333zTYNqROtYysikVFRU254s9mVjngQceqPf96NGjUVxcbMk2W/x6G0D9fNFqtSgqKsKwYcMAwKEZc/vttyMtLQ3nz5+3LFuxYgXi4+MxduxYh41DjsPb96hZVVVViIiIAFB7K5oQAk8//TSefvrpRtcvKChAbGwsLl++jOHDhzd4PTk5udH3derUqcGyc+fO4fjx4/VuN/j1WHXrlZeXW+psar3GBAQEAICl8WaNvWM1dktgcHCwTXNd1WnsdwMAe/fuxTPPPIOffvqpwcFSeXl5k7eV2Ov222/Hww8/jMuXLyMxMRFr1qyBwWCw+ZJhIvIs9u73GnP58mUMHTq0wfK6W48vX75seSz11q1bMWTIECQnJ2PKlCm49dZbMXLkSABAYWEhysrK8MEHHzT5pD9r+9Xg4GAAsOxXz507BwC44447mqy/vLwcwcHBePnll3HHHXcgPj4eAwcOxLRp03D77bejc+fOAGr3v48//jhee+01rFixAqNHj8bMmTNx2223NbuPbUm2nDlzxmre1XFmtmzYsAH/+Mc/cPTo0XrzozjyJIRMJsPixYvx3nvvQaPRwMfHBytWrICXl5dlnkUicrwhQ4bUm+h80aJF6N+/Px5++GFMnz4dKpWqVZ+r69Q1fXbv3o24uDikp6fjH//4B8LDw/Hqq69aXgsICEDfvn0B2L7vNhgMDs+NOnFxcQ32dcHBwTh+/Ljle1v31wsWLMCHH36Ie+65B3/+858xceJEzJkzB3PnzoVMVntdiLWMbIo9JyHsycQ6zf2+6vLNmsYypqSkBM899xw+//zzBv+NHHVCHaj93T/22GNYsWIF/va3v6G8vBwbNmzA73//e55Q91BsSlGTrly5gvLycksjqa6L/sc//rHRK3eApptO1jT2NDmz2YzJkyfjySefbPQ93bp1s6wXERFR74zr9ZoKDaC2XoVCgRMnTthUp71jXT9XxvXEdZM8WtPY7+b8+fOYOHEiUlJS8NprryE+Ph4qlQrff/89Xn/99SbPyLTEwoUL8fvf/x4rVqzAX/7yF3z22WcYNGiQZW4rImpbAgICEBMT45Knivbo0QNnz57Fhg0bsHHjRqxbtw7vvvsu/va3v+G5556z7Ktuu+22Jj8w9+nTp9731varddt85ZVXmnxMtJ+fH4DaeTNGjx6Nr776Cps3b8Yrr7yCl156CV9++aVl/pB///vfuPPOO/HNN99g8+bNePTRR/Hiiy9i//79iIuLa3T7KSkpAGBXtvTu3RuvvfZao6/Hx8fX+95Z2bJ7927MnDkTY8aMwbvvvovo6GgolUosW7bM6sS79rr99tvxyiuv4Ouvv8aiRYuwcuVKTJ8+3WEnVIjIOplMhvHjx+ONN97AuXPnkJqa2qrP1XViYmLQqVMn7Nq1C0lJSRBCYPjw4QgPD8fvfvc7XL58Gbt378aIESMsDRpb9911k2I7MjfsWc/W/bW3tzd27dqF7du347vvvsPGjRvxxRdfYMKECdi8eTPkcrnVjGxKSkoK0tPTkZOT0yAffs2eTKzjrIyZP38+9u3bhyeeeAL9+vWDn58fzGYzbrjhBoceuwQHB2P69OmWptTatWuh0+l4Ja4HY1OKmlQ36XVdA6ruzLFSqcSkSZOafW9iYmKjT0NqbFlTunTpgqqqKqtjdenSBVu3bsXIkSMb3QE2x8fHBxMmTMC2bdts2rG3ZqymtKRj/+2330Kn02H9+vX1zmbYckm1vTWEhITgpptuwooVK7B48WLs3bu33iTzRNT2TJ8+HR988AF++umnRq9qtSYxMdFyW8b1MjIyLK/X8fX1xYIFC7BgwQLo9XrMmTMHL7zwAp566imEh4fD398fJpPJ6r7eVnW3tQUEBNi0zejoaDz44IN48MEHUVBQgAEDBuCFF16wNKUAoHfv3ujduzf+7//+D/v27cPIkSPx3//+F//4xz8a3Wa3bt3QvXt3fPPNN3jjjTcafOBvrOZjx45h4sSJDjuL25LtrFu3Dl5eXti0aVO9B5MsW7bM4TX06tUL/fv3x4oVKxAXF4fs7Gy89dZbLRqHiFrOaDQCqL07ArDvs25z/8ZHjx6NXbt2oVOnTujXrx/8/f3Rt29fBAYGYuPGjThy5Ei9xout+25n5IY97Nlfy2QyTJw4ERMnTsRrr72Gf/7zn/jrX/+K7du3W2pvLiObmpB7xowZWLVqFT777DM89dRTVusFbM9EW9mbMaWlpfjxxx/x3HPP4W9/+5tled2VXI4e//bbb8esWbNw8OBBrFixAv3797dMsE+eh3NKUaO2bduGv//97+jUqZNlHqiIiAiMGzcO77//PvLy8hq85/pHb06dOhU//fQTjh49allWUlLS5FmXxsyfPx8//fQTNm3a1OC1srIyS4jOnz8fJpMJf//73xusZzQaUVZW1uw4zzzzDIQQWLJkiSWQr3f48GF88sknDhmrMb6+vgBg13vrzmBcf8aivLy8xQcO1mpYsmQJTp8+jSeeeAJyuRwLFy5s0ThE5BmefPJJ+Pr64p577kF+fn6D18+fP4833nijyfdPmzYNBw4cwE8//WRZVl1djQ8++ABJSUmWuYp+/ZhnlUqFnj17QggBg8EAuVyOW265BevWrWv0yq3GHulszcCBA9GlSxe8+uqrje7T67ZpMpka3C4QERGBmJgYy21rFRUVlqyp07t3b8hksgaP/v615557DsXFxbjnnnsabAMANm/ejA0bNgCozZarV69i6dKlDdarqalBdXV1s2M1pqXZIkkSTCaTZdmlS5caPP3PnhqauyVjyZIl2Lx5M/7zn/8gNDS0XiOQiJzPYDBg8+bNUKlUltuv7fms6+vr2+Q+ZvTo0bh06RK++OILy+18MpkMI0aMwGuvvQaDwVBv3lVb993OyA172Lq/LikpafB63ZVKdflhLSObMnfuXPTu3RsvvPBCvRyuU1lZaXkioq2/V3s199++MY0duwBo8Yluaxl34403IiwsDC+99BJ27tzJq6Q8HK+UIvzwww/IyMiA0WhEfn4+tm3bhi1btiAxMRHr16+v16V/5513MGrUKPTu3Rv33nsvOnfujPz8fPz000+4cuUKjh07BqD2gOezzz7D5MmT8cgjj8DX1xcffvghEhISUFJSYlN3/YknnsD69esxffp03HnnnRg4cCCqq6tx4sQJrF27FpcuXUJYWBjGjh2L+++/Hy+++CKOHj2KKVOmQKlU4ty5c1izZg3eeOMNzJ07t8lxRowYgXfeeQcPPvggUlJSsGTJEnTt2hWVlZXYsWMH1q9fbzkb3tqxGtOvXz/I5XK89NJLKC8vh1qtxoQJE5q8lx8ApkyZApVKhRkzZuD+++9HVVUVli5dioiIiEYbhtYMHDgQAPDoo49i6tSpDRpPN910E0JDQ7FmzRrceOONzdZGRJ6vS5cuWLlyJRYsWIAePXrg9ttvR69evaDX67Fv3z6sWbMGd955Z5Pv//Of/4xVq1bhxhtvxKOPPoqQkBB88sknuHjxItatW2e5HWPKlCmIiorCyJEjERkZiTNnzuDtt9/GTTfdZJmk9V//+he2b9+OoUOH4t5770XPnj1RUlKCI0eOYOvWrY1+sG+OTCbDhx9+iBtvvBGpqam46667EBsbi6tXr2L79u0ICAjAt99+i8rKSsTFxWHu3Lno27cv/Pz8sHXrVhw8eBD//ve/AdSeoHn44Ycxb948dOvWDUajEZ9++qnloKg5CxYswIkTJ/DCCy8gPT0dixYtQmJiIoqLi7Fx40b8+OOPllvilixZgtWrV+OBBx7A9u3bMXLkSJhMJmRkZGD16tXYtGlTvXlgbFG3X//rX/+KhQsXQqlUYsaMGZYP8o256aab8Nprr+GGG27ArbfeioKCArzzzjtITk6uN6eKPTV88cUXePzxxzF48GD4+flhxowZltdvvfVWPPnkk/jqq6/w29/+Fkql0u4xiMh2dZ/5gdq5j1auXIlz587hz3/+s2WuIHs+6w4cOBDvvfce/vGPfyA5ORkRERGWCb/rGk5nz57FP//5T0sNY8aMwQ8//AC1Wo3Bgwdbltu67wYcnxv2sHV//fzzz2PXrl246aabkJiYiIKCArz77ruIi4uzPCTEloxsjFKpxJdffolJkyZhzJgxmD9/PkaOHAmlUolTp05h5cqVCA4OxgsvvGDX79UeAwcOxNatW/Haa69ZbtdsbK7JOgEBARgzZgxefvllGAwGxMbGYvPmzbh48aLdYwO1n2OCgoLw3//+F/7+/vD19cXQoUMtc1kplUosXLgQb7/9NuRyORYtWtSicchFXP24P/Icv348rEqlElFRUWLy5MnijTfeEBUVFY2+7/z58+L2228XUVFRQqlUitjYWDF9+nSxdu3aeuulp6eL0aNHC7VaLeLi4sSLL74o3nzzTQFAXLt2zbJeYmKiuOmmmxodq7KyUjz11FMiOTlZqFQqERYWJkaMGCFeffVVodfr6637wQcfiIEDBwpvb2/h7+8vevfuLZ588kmRm5tr0+/j8OHD4tZbbxUxMTFCqVSK4OBgMXHiRPHJJ59YHm9uz1hN/Vy/fqSpEEIsXbpUdO7cWcjl8nqPK23ud7N+/XrRp08f4eXlJZKSksRLL70kPv74Y6uPUL148WKDR6gajUbxyCOPiPDwcCFJkmhs1/Dggw8KAGLlypVN/AaJqK3JzMwU9957r0hKShIqlUr4+/uLkSNHirfeektotVrLeomJiQ0e/Xz+/Hkxd+5cERQUJLy8vMSQIUPEhg0b6q3z/vvvizFjxojQ0FChVqtFly5dxBNPPCHKy8vrrZefny8eeughER8fL5RKpYiKihITJ04UH3zwgWWdukd7r1mzpt57G9unCVGbQXPmzLGMnZiYKObPny9+/PFHIUTto76feOIJ0bdvX+Hv7y98fX1F3759xbvvvmvZxoULF8Tdd98tunTpIry8vERISIgYP3682Lp1q82/4x9//FHMmjVLRERECIVCIcLDw8WMGTPEN998U289vV4vXnrpJZGamirUarUIDg4WAwcOFM8991y93xcA8dBDDzUYp7H/Rn//+99FbGyskMlk9bKhqW0IIcRHH30kunbtKtRqtUhJSRHLli2zPOK7ufHq/vtc/7jtqqoqceutt4qgoCABQCQmJjYYb9q0aQKA2LdvX6P1EFHr/fozPwDh5eUl+vXrJ9577z1hNpsbvMeWz7rXrl0TN910k/D39xcAGny+jYiIEABEfn6+ZdmePXsEADF69OhGa7W2767j6NwYO3asSE1NbVDPHXfc0WDfZcv+um7fHxMTI1QqlYiJiRGLFi0SmZmZlu3YmpFNKS0tFX/7299E7969hY+Pj/Dy8hK9evUSTz31lMjLy7P791q3ry8sLKz33rq/P9cfX2RkZIgxY8YIb29vAcCSB01tQwghrly5ImbPni2CgoJEYGCgmDdvnsjNzRUAxDPPPNPseI0dP33zzTeiZ8+eQqFQNPo54MCBAwKAmDJlivVfJrmVJIQdM5YRtdJjjz2G999/H1VVVU1Ookee6fe//z0++ugjXLt2DT4+Pu4uh4iI2oHZs2fjxIkTds05SUREZM2xY8fQr18//O9//+NTwz0c55Qip6mpqan3fXFxMT799FOMGjWKDak2RqvV4rPPPsMtt9zChhQRETlEXl4evvvuOx4sEBGRwy1duhR+fn6YM2eOu0shKzinFDnN8OHDMW7cOPTo0QP5+fn46KOPUFFRgaefftrdpZGNCgoKsHXrVqxduxbFxcX43e9+5+6SiIiojbt48SL27t2LDz/8EEqlEvfff7+7SyIionbi22+/xenTp/HBBx/g4YcfbnYuRfIMbEqR00ybNg1r167FBx98AEmSMGDAAHz00UcYM2aMu0sjG50+fRqLFy9GREQE3nzzTctTQ4iIiFpq586duOuuu5CQkIBPPvkEUVFR7i6JiIjaiUceeQT5+fmYNm0annvuOXeXQzbgnFJERERERERERORynFOKiIiIiIiIiIhcjk0pIiIiIiIiIiJyOTaliIiIiIiIiIjI5diUIiIiIiIiIiIil2NTioiIiIiIiIiIXI5NKSIiIiIiIiIicjk2pYiIiIiIiIiIyOXYlCIiIiIiIiIiIpdjU4qIiIiIiIiIiFyOTSkiIiIiIiIiInI5NqWIiIiIiIiIiMjl2JQiIiIiIiIiIiKXY1OKiIiIiIiIiIhcjk0pIiIiIiIiIiJyOTaliIiIiIiIiIjI5diUIiIiIiIiIiIil2NTioiIiIiIiIiIXI5NKSIiIiIiIiIicjmFuwsgIiIiaiuMwoiLhovIM+bhmvEaikxFMMIIAFBAgVB5KKIUUYhSRKGLsgsUEj9qERERETVFEkIIdxdBRERE5MmqzFU4pjuGE7oT0AkdZJDBDHOj69a9poIKvdS90NerLwJkAS6umIiIiMjzsSlFRERE1AQhBE7pT2GnZidMMEHAvo9NEiTIIMNo79Hoo+4DSZKcVCkRERFR28OmFBEREVEjdGYdvq/+HtnGbIdsL0YRg+m+0+Et83bI9oiIiIjaOjaliJpR98+DZ7aJiDqWGnMN1lWuQ4m5xO6ro5oiQUKgLBBz/efCV+brkG0SERERtWVsShFdx2AWOF2qw7kyHXI1RmiMtf88vOUSYnwVSA5UoWewGmo5H1xJRNReGYURayrXoNBU6LCGVB0JEoJlwVgQsAAqSeXQbRMRERG1NWxKEaH2iqgjRVrszK2G3gxIQIPDkLplShkwKsoHgyO8IeMVVERE7c5uzW4c0R1x2vYlSEhVpWKi70SnjUFERETUFvByD+rwdCYzPs+qwJYrtQ0poGFD6vplBjOwPVeDFefKUWNs/MlLRETUNuUac53akAIAAYGT+pPINjhmrioiIiKitopXSlGHpjcJrMoqxzWN0dJ0unBoL5bed3OT75l43xOY9MCTkACEecmxuFsgvHg7HxFRmyeEwMqKlSg2F1u9be/cnnN4Z+Y7Tb4+9cmpuPHPNzb5ugQJAbIA3BFwB+ctJCJqp3bs2IHx48c3+fozzzyDZ5991nUFEXkgHklTh7Yjt6peQ8oeAkCR1oStOdWOLouIiNzgmukaisxFDp9HqjECAuXmcuQYc5w+FhEREZGnUri7ACJ3uVptwJEiXbPrzHjyn4jp3rvesqCoOMvXAsDJUh16haiRFMAJa4mI2rLj2uOQINndlJrzrzmI6xNXb1lwXLDV90mQcEx3DAnKBLvGIyKitufNN99E//796y1LSOD+n4hNKeqwDuTXNDqh+fWiknsiqf+wZrcjAdhfUMOmFBFRGyaEwHnD+RZdJRXdMxqdh3W2f0wIXDJcgkmYIJfkdr+fiIjajt69e2PUqFHuLoPI47ApRR2S1mhGZrne6qHHF399ANVlJVB6eSMutT/G3vEwkoeOrbeOAHCp0oBKvQn+Kh5UEBG1ReXmchhgaNF7P7v/M1QVV0HlrUJC/wRMeHQCuo/rbtN7zTCjxFSCcEV4i8YmIqK2YfHixSgqKoKPjw8GDx6MJ598EpMmTXJ3WURuxzmlqEPKs3EeqYrCazAZ9NBWliNr/w58/OA8HF6/qtF1czVGxxZJREQuU2AqaPF7y/PKYdKbUFNeg7M7zuK/t/wXaSvTXDI2ERG1Dbm5udDr9SgrK8OWLVswZcoULF++3N1lEbkdr5SiDqlQa2ry1j1JJkPnQaOQOuEmhMZ3graqArs/fRdXTx+FEAIbXv0/9J48EypvX8t7ZAAKa0zoHuSiH4CIiByqylxl13xSMrkMXUd3RZ/pfRDWKQw15TXY/u525KTnQAiBr/7yFfrN6ge1r7r57UCGKnOVI34EIiLyMHK5HOPHj8ecOXOQnJyMsrIy/Pvf/8ahQ4cghMBjjz2GefPmwdfX1/rGiNopSQjh/EfMEHmYvdc02JungdnG9Wsqy/HyTQOgraoAANz97hp0HTbO8rpMAoaEe2NcLAOFiKgtOqg9iJ9qfmrVk/c05Ro83/d5aCu0AIDfrvstuo9v/jY+GWQY6DUQI7xHtHhcIiLyfHv27EFMTAxCQkKQlJSE8vJyAMDmzZsxefJkN1dH5D68fY86JKVMsuuww9s/EKEJv0xiW11aXH8FAShkkmOKIyIil5Oj9XMC+gT6ILzLL3NDVRXbdgWUI8YmIiLPpdPpsGPHDhQUFCAoKAhdu3a1vFZYWOjGyojcj00p6pDCveRNNqWunj7WYFlNZTmKss9bvvcLqT8hrRlAuDcPKoiI2io/mZ9dV0nlHM1psExTrkFh1i8HF/7h/la3Y4YZfjI/m8clIqK24/DhwwCAc+fOwWQyISUlBWVlZcjMzLSsExkZ6a7yiDwC55SiDinaR9HknFLfvf43aCvL0X/6AkR37YnqshLs/vRd6KoqAQC+QaFI7Du4wftifPjPiYiorYqQR9i1/tdPf42a8hoMXjAYMakxqC6uxvZ3t0NbWXvrnm+oL5KGJDllbCIiahv+8Ic/oKysDH379kVwcDA2btyIf//736ioqJ0SJCwsDCNG8PZt6th4FE0dkpdChm6BKmSW6xttTOVlnkLea39rsFyuUGL2069B6eVtWSYBSPRXwl/FK6WIiNqqQFkglFDCAIPN78k9mYtvTn7TYLlcKceC/yyAyltldRsyyBAiD7GrViIiajuOHTuGY8dq78R44403LMuVSiWWLl0Kb2/vpt5K1CFwonPqsK5WG/BpZnmD5Tmn0nHsh3U4f3APKgrzoK2qgF9wGJIGDMfYOx5GTEqfBu9Z0CUAnQKsH3wQEZHn2lS1CWcNZ226jS/7SDYOrz2Mc7vPoTyvHDUVNfAP90fn4Z0x8dGJiOsTZ3UbEiR0UnbCDL8ZjiifiIg8zMGDB/Huu+/ihx9+gMFgQEVFBSIiIjBmzBg8+eST6N+/v7tLJHI7NqWoQ9uUU4mjRboWP2tJApAarMb0JOvzhhARkWfLM+ZhdeVql4452282EpQJLh2TiIhcZ/369bh8+TIefvhhSBIfjET0a5zonDq08TF+iPSRoyXxIAEI9ZJjUryvo8siIiI3iJJHIUwWBqlFqWAfCRICZYGIV8Q7fSwiInIPs9mMs2fPIiUlhQ0poiawKUUdmkouYWFyIOL9lHa/N9pHgcVdA+El5z8jIqL2QJIkjPcdb9dT+FpKQGC8z3gepBARtWM5OTnQaDTo0aOHu0sh8lg8mqYOz0suw6LkAEyO84VSBkAIQJibXF8hAeNjfHBbt0B4K/hPiIioPYlRxKC/2rlzfEiQ0EvVC4nKRKeOQ0RE7nXmzBn4+fkhNjbW3aUQeSw+fY8ItWfHB4Z7o1ewGm+t/R7eCd1h8g+Bxlh7ttxbLiHGV4EuASqkhqih5tVRRETt1gjvEbhivIIiU5HDr5qSICFYFoxRPqMcul0iIvIsQghkZGTw1j0iK9iUIrpOSWE+qs8exuzBPdClSyjqngPAICEi6jgUkgKz/WZjXeU6lJhLHNaYkiAhQBaAOf5zoJbUDtkmERF5pmvXrqG8vBwpKSnuLoXIo/FyD6LrZGRkwMvLC0lJSQBqm1FsSBERdTzeMm/M85/n0InIo+XRWOC/AL4yPiCDiKi9+/VxBRE1jldKEV0nIyMD3bp1g1wud3cpRETkZmqZGjf73YxT+lPYqdkJE0x2XzUlQYIMMozyHoW+6r480UFE1EHwuILINmxKEf2suLgYBQUFGDdunLtLISIiDyFJEnqpeyFJmYRjumM4XnMcekkPSUgQUuMNKhlkMMMMFVTope6Fvuq+CJAHuLhyIiJyFx5XENmOTSmin2VkZEChUCA5OdndpRARkYfxk/lhpPdImNPN2Ht5L4bNGIYCcwGKTEUwwAAAUECBMHkYohRRiFJEoYuyCxQSP2oREXU0PK4gsh0/KRH9LCMjA8nJyVAqle4uhYiIPFTmmUx08uuEcX7j6i0XQvDWPCIiAsDjCiJ7cKJzIgCVlZW4cuUKn45BRERNai4r2JAiIiKAxxVE9mJTigi1ZzMkSUK3bt3cXQoREXkoZgUREVnDrCCyD5tSRKgNj6SkJHh7e7u7FCIi8lDMCiIisoZZQWQfNqWow6upqcGlS5fQo0cPd5dCREQeillBRETWMCuI7MemFHV4mZmZMJvN6N69u7tLISIiD8WsICIia5gVRPZjU4o6vIyMDMTGxiIgIMDdpRARkYdiVhARkTXMCiL7sSlFHZrBYEBWVhafjkFERE1iVhARkTXMCqKWYVOKOrTz58/DaDTyvm8iImoSs4KIiKxhVhC1DJtS1KFlZGQgPDwcoaGh7i6FiIg8FLOCiIisYVYQtQybUtRhmUwmnD17lpfYEhFRk5gVRERkDbOCqOXYlKIO6/Lly9BqtQwPIiJqErOCiIisYVYQtRybUtRhZWRkIDAwENHR0e4uhYiIPBSzgoiIrGFWELUcm1LUIQkhkJGRgZSUFEiS5O5yiIjIAzEriIjIGmYFUeuwKUUd0tWrV1FZWclLbImIqEnMCiIisoZZQdQ6bEpRh5SRkQEfHx8kJCS4uxQiIvJQzAoiIrKGWUHUOmxKUYdTd4ltt27dIJPxnwARETXErCAiImuYFUStx3851OEUFRWhuLgYPXr0cHcpRETkoZgVRERkDbOCqPXYlKIO58yZM1CpVOjcubO7SyEiIg/FrCAiImuYFUStx6YUdTgZGRlITk6GQqFwdylEROShmBVERGQNs4Ko9diUog6lrKwMeXl5vMSWiIiaxKwgIiJrmBVEjsGmFHUoGRkZkMvl6Nq1q7tLISIiD8WsICIia5gVRI7BphR1KBkZGejUqRPUarW7SyEiIg/FrCAiImuYFUSOwaYUdRjV1dXIzs5GSkqKu0shIiIPxawgIiJrmBVEjsOmFHUYmZmZEEKge/fu7i6FiIg8FLOCiIisYVYQOQ6bUtRhZGRkICEhAX5+fu4uhYiIPBSzgoiIrGFWEDkOm1LUIeh0Opw/f56X2BIRUZOYFUREZA2zgsix2JSiDiErKwsmk4nhQURETWJWEBGRNcwKIsdiU4o6hIyMDERFRSE4ONjdpRARkYdiVhARkTXMCiLHYlOK2j2j0YjMzEyezSAioiYxK4iIyBpmBZHjsSlF7d7Fixeh1+sZHkRE1CRmBRERWcOsIHI8NqWo3cvIyEBwcDAiIiLcXQoREXkoZgUREVnDrCByPDalqF0zm804e/YsUlJSIEmSu8shIiIPxKwgIiJrmBVEzsGmFLVrV65cQXV1NXr06OHuUoiIyEMxK4iIyBpmBZFzsClF7dqZM2fg5+eHuLg4d5dCREQeillBRETWMCuInINNKWq3hBDIyMhA9+7deYktERE1illBRETWMCuInIdNKWq38vPzUVZWxktsiYioScwKIiKyhllB5DwKdxdA5CxnzpyBWq1GUlKSu0shIicyCAMKTYUoNhVDL/SQIEEpKREmD0OYPAxKSenuEsmDMSuIiMgaZgWR87ApRe1WRkYGunXrBrlc7u5SiMjBdEKHM7ozOKk7iWJzsWW5hNpL6gWE5fsweRh6q3uju6o7VJLKLfWS52JWEBGRNcwKIudhU4rapZKSEhQUFGDs2LHuLoWIHMggDNhfsx/HdMdggqnB63XNqOu/LzQVYptmG3ZpdmGA1wAM9hoMhcT4I2YFERFZx6wgci5+Kqd2KSMjAwqFAsnJye4uhYgc5KrxKjZXb0alubJB88kWRhhxQHsAmfpMTPWdiihFlBOqpLaEWUFERNYwK4icixOdU7uUkZGBLl26QKXirTpE7cFJ3UmsrVzb4obU9crN5VhduRpn9WcdVB21VcwKIiKyhllB5Fwe3ZQSQqCoxoiTJVr8dE2D/fkanCrRolhrhBCtOyih9quyshI5OTlISUlxdylE5AAndSfxo+ZHAA1vz2sJ8fP/NlZvZGOqA2NWEBGRNcwKIufzyNv39CaBI0U1OFyoRaXBDAA/T10Ly+FIkEqGgeHe6BfmBaVManQ71DGdPXsWkiShW7du7i6FiFrpiuGKpSHlDJuqNyFIFoRIRaTTxiDPxKwgIiJrmBVEzudxV0pdrtRj6ZlS7MzVWBpSQG0z6vrz42V6M368Wo2PzpTiSpXB5XWS58rIyEBSUhJ8fHzcXQoRtYJBGLCpepPliXrOsql6E4zC6NQxyPMwK4iIyBpmBZHzedSVUidLtNhwuQoSfmlAlebmYMeyN3Dup+2oKLwGlY8vQuOSkDp+Gsbd/RjK9WasOFeOmzv5o3uQ2p3lkwfQarW4ePEipk6d6u5SiKiV9tXsQ7WotumWvZKcEmx9fSsytmWg/Fo51L5qhHUKQ++bemPy7yc3+T4BgVJzKQ5oD2CE9whHlk8ejFlB1DFdvnwZL774IjZt2oTc3Fz4+fmhS5cumD17Np566il3l0cehllB5Boe05S6VKHHhstVAH5pSF06mobljy6CrqrSsl5NuR5XykuhKS/FuLsfs6z79cVKLO4qQ5yf0rWFk0fJzMyE2Wzmfd9EbVyNuQbHdcdtakhd2H8BHyz4ANpKrWWZRq9Bdmk2NKWaZptSddK16RjkNQgqiZOYdgTMCqKOZ+/evZg2bRoqKiosy0pKSix/2JSiX2NWELmGRzSltCYzNlyurHeFVE1lOVY++Rvoqiohk8sxePYSdB0+Hkq1F4qvXELR5awG2/n2ciXu6RHMOaY6sIyMDMTExCAgIMDdpRBRK5zSn4IZZqvraco1WH73cmgrtZDJZRh2+zCkTEiB0kuJ4kvFKDhXYNN4RhiRoc9AH3Wf1pZObQCzgqhjKSsrw7x581BRUQG5XI57770XU6dOhbe3N86fP4+zZ/nQC2qIWUHkGh7RlDpUoEW1sf758INfforKonwAwMT7n8CEe/7Q7DYEgHK9GelFWgyJ8HZeseSxDAYDsrKyMHr0aHeXQkStdEJ3wqb19n+yHxXXas963/CnGzDlj1NaNSabUu0fs4Ko41m6dCny8vIAAM8++yz+7//+z80VkadjVhC5jtsnOjeJ2ift/foGjTO7Nlm+FmaB/8wfg6eHx+Olaf2x8a2/w6DTojGHC2sgROsfGU5tz4ULF2AwGNCjRw93l0JEraAxa1BhrrC+IoCTm05avjabzXhp5Et4IuYJPNfnOXz7/LcwaG1/EEaRqQgGwQdntHfMCqKO59tvv7V8bTab0bt3b3h7eyMxMRFPPfUUtNrGjyuo42JWELmO25tS+RojNMaGTaSCi5mWr7f+9yXkZ52BUadF2bUr2LnsTXz6+yWNNp/K9WYU60xOrZk805kzZxAWFoawsDB3l0JErVBoKrR53fyz+ZavN/5rI/LO5MGgNaD0Sil+/M+P+HDxh3adqLBnbGqbmBVEHc/p06ctXz/zzDM4efIktFotsrOz8a9//QuzZs3iSW2qh1lB5Dpub0pd0zT+GG5tZbnla++AIMx7/h3Me/4deAcEAQDO7d+BMzs32rVNar/MZjMyMzM5ESFRO1BkKoIE2+YGrCmvsXztE+SDxe8txuL3FsMnqPbRzWe3n8XJH0429fZGx6b2i1lB1DGVlZVZvg4ODsb//vc//O9//0NwcDAAYPPmzVi/fr2bqiNPw6wgci23N6UqDWY0Ni+5XKm2fD107p0YMH0+Bkyfj6G33GFZnpW2s8H7ZAAq9dYnx6X25fLly6ipqeEltkTtgF7obW5KKdS/TI048u6RGLxgMAYvGIwRd42wLM/cmdnYWxuQIPH2vXaOWUHUManVvxxX/Pa3v8Vtt92GqKgozJ4927J869at7iiNPBCzgsi13N6UaupC2aCoWMvXwdHxvyy/7mttdaVd26T268yZMwgICEB0dLS7SyEiFwqKDbJ8HRwX/MvX8b98ra20fa4QwQRp15gVRB1TQkKC5evExERotVqcPXsWBQW/PKH18OHD+O6775Ceno5r167BZOJ0IB0Vs4LItdz+9D0/pQzmRo4BEvsNQeGlcwCAsmtXLMuv/zooMrbB+8wAzp8+AfVVBaKjoxEREQGFwu0/JjmREAJnz55FSkoKJMm2qyuIyHMpJaXNzaHOQzuj4FztQUXp1VLL8rIrZZavr29cNUdAQAmlzXVS28KsIOq4Ro4ciYyMDABAdnY2vL298fDDDyMnJwcbNmwAAMTGxuLy5cs4fPgwhBCQy+WIjIxEdHS05Q+PK9o/ZgWR67l9rxrl3XgJg2++DYe/WQkhBPavXY7wpK4AgLR1n1jW6TVxeqPvLc/OwnfZ5yGEgEwmQ0REhCVMYmJiEBkZyUBpR3Jzc1FRUcH7vonaiVB5qM1NqWFLhiFtRRqEENj78V5Edo0EAOxdtteyTt8ZfW0eO2N/BvS+emZFO8SsIOq47rnnHnz88ccQQuC9996z7Ac+/PBDyzp/+ctf0L9/f+j1euTn5yM3Nxd5eXnIycnBkSNHeFzRQTAriFzP7XvQKB8FvOQStKb6ByAJfQZh9JKHsOt/b6OmvBSrn36w3utj73wEMSl9GmzPTynDg3fcCpPRiPz8fOTl5Vn+HDt2DGazGZIk1QuU6OhoREVFQankGfK2KCMjw/JYXyJq+yLkETavmzQ4CeMfHo9tb22DplSDzx74rN7rE383EXF94mzbmABKz5diY+5GZkU7xKwg6riGDRuGP/7xj3jllVdQUlKCJUuW1Hv9T3/6E/r37w8AUKlUiI+PR3z8L1OGGAwGHld0EMwKItdze1NKIZPQL8wLafk1Dc6L3/jYM4hMTsFPX3yE/PNnAQBRyT0wfOE96D9tboNtSQAGhnlBJkmQKZWIi4tDXNwvByNGoxEFBQWWMx95eXk4ceIETCYTJElCWFgYYmJiEBUVZfl/lUrlxJ+eHCEjIwPdu3eHTOb2KdKIyAF8Zb7wk/xQJapsWn/mczMR1SMKez7cg2sZ1wAA0T2iMfq+0Rg0b5DN4wbLg3H7b25nVrRTzAqiju3ll19Gr1698Pbbb+PUqVMAgN69e+ORRx7B4sWLm32vkscVHQazgsj1JCGE22d11RjN+OB0aYOrpewhAfBVynBvjyCo5bbvREwmEwoKCuqd+bh+csOwsLB6Zz6io6PrPcGD3KuwsBDvvvsuFi5ciO7du7u7HCJykLSaNKRp01w68fgY7zHo79W/0deYFW0bs4KIXIFZ0bYxK4jcw+1XSgGAj0KGaQl++PJi40/Ts4UAMD3Bz66GFADI5XJLKNQxmUwoKiqqd+bjzJkzMBqNAICQkJAGZz68vb1bXDu1XEZGBpRKJbp06eLuUojIgVLVqUjTprlsPDnk6KFq+tHPzArPYxAGFBgLUGCq/VNoLIQBhtoJiiU5fGW+iJRHIkIRgewL2cwKInI6ZoVnEjodTHl5MOXmwlRYCBgMEGYzJIUCkq8v5NHRkMfEIOPMGWYFkRt4xJVSdQ4X1mDLlWq73iOhtiE1LcEPfUK9nFIXAJjNZhQVFdU785GXlweDwQAACA4ObnDmw8fHx2n1dBRaoxkFWhP0JgGzEFDIJPgrZQj1kkMmSVi6dCmCgoIwb948d5dKRA62tXorTutPO/1qKQkS+qn7YYzPmFZvi1nhfEWmIhzXHscZ/RkYYYSE2qcjNfb3RAYZzDADABRVCoyJGIPuqu5QSbyFhojch1nhfMJggOHECegOHoT5Wu2t/ZCk2j9C1P6p+95cmxNGScK1gACkzJ8PeUyMG6sn6lg8qikFAJllOnyfXQWdyfphiATAWyFheqI/Oge4/gOm2WxGSUlJvTMfeXl50Ov1AIDAwMB6T+eIjo6Gr6+vy+tsS0xC4FyZHhllOlytNqLSYG50PbkEhKqA3JNHMCklDsP69HRxpUTkbDqzDp9UfIIaUeO0MSRI8JP8sCRwCZSScyalZVY4RoGxADs0O5BnyoMEyf5mpQAgAQoo0N+rP4Z4DYFC8ogLxomImBUOIrRaaHftgv7wYeDn351d75ckSEJAHh0N9dixUPI2PiKn87imFFA7x9SB/BqkF2uhMwlIqG1iA4D552q95RL6h3thSLg3vBSeMxGdEAIlJSUNznxotVoAQEBAQIMzH/7+/m6u2v1qjGYcKqxBepEWGqOwXAHXLCEghIAkkyHRT4nBEd7oEqCEVPeXhYjavIuGi1hftd6pY8z1m4tYZaxTx/g1ZoXtTMKEA9oDOKg9CKDxK6JaIkgWhKm+UxGliHLI9oiIHI1ZYR/DuXOo+eYbCI2m9kqo1vj5iiplr17wmjYNMt5SSeQ0HtmUqmM0C1zTGHFN88sVMwEqGaJ8FIjyVkAuaxvNByEEysrKkJeXV+/sR01N7dl/Pz+/Bmc+/P39O0xz5WyZDj/YeHVcU+qaWF0DVbgh3g++Ss9pVBJR6xzRHsHumt1O2fYEnwnore7tlG3bi1nRULmpHOur1qPEXOLwbdddbTXUayiGeg1t179HImo/mBUNCaMRNd9/D0N6+i+35zmKJEHy8oL3nDlQJic7brtEZOHRTan2TAiB8vLyemc9cnNzodFoAAC+vr4NznwEBga2q0DRmczYmF2FM2X2X1rbFAmASi5hWoIfugfxaSZE7cVh7WHsqdnjkG3VNSPG+4xHH3Ufh2zTWTpyVpSYSrC2ci20Quv0ecV6q3pjvM/4dvF7I6KOpyNnhdDrUb1yJUzZ2Y5tRv2aJMF79myoenvGiSyi9oRNKQ8ihEBlZaUlSK5du4bc3FxUVVUBALy9veuFSUxMDIKCgtpkoNQYzfg8qxwFNSanHWpMjfdF/zBeakvUXlw0XMSW6i2talJIkOAj+WCK7xQkKBMcXKFrdISsKDeV44vKL1zSkKrTV90XY73HtqnfExFRUzpCVgiDAdWffQZTTo5zG1LX8Zk3D8qenMuWyJHYlGoD6gLl+j8VFRUAAC8vrwZnPkJCQjw6UHQmM1aec25Dqs6NCX7o68SnMhKRa2nNWuyu2Y0z+jMAbJ9fSPr5f6mqVIzyGdUun77WXrLCKIz4rOIzVJgrXNaQqtMWrp4jImqN9pIVAKBZtw6GU6dc1pACAMhk8L37bihiXTsXJVF7xqZUG1VdXd3gzEd5eTkAQK1WIyoqqt6Zj5CQEMhk7p9nSQiBdRcqcL7C4LJDjcVdAxHv55ynahGRe1SZq3BKdwondCdQLaoB/NJ4AmqbVXUNDX/JH729eiNVlQofWcd6pHZbzIrdmt04ojvilrHlkGNJwBIEygPdMj4RkTu0xawwnDkDzerVrh9YkiALCYHfAw9AUvAJrkSOwKZUO6LRaBqc+SgtLQUAKJVKREdHIyoqyjLpYVhYmMsD5VSJFt9ernLZeBJqJ8e/p0cwlG1kYnwisk+VuQoFxgIUm4phgAEAoJJUCJWHIkIeAV8ZH5l9PU/OijxjHlZXuuEg42cSJEQrojHXb67HXhlAROQKnpwVZo0GVW+/DfHz5O7uoB41Cl4TJ7ptfKL2hE2pdq6mpsZyxqPu/0tKap9ipFAoGpz5CAsLg1wud0otVQYzPjhdCr3ZtX/lJAADw70wKc7PpeMSEbUVnpAVQgh8VvEZSs2lLr9t79em+kxFijrFrTUQEXkaT8gKANCsXw/D0aOuvW2vEX4PPgh5eLhbayBqD9iU6oB0Ol2DMx9FRUUAALlcjqioqHpnPiIiIhwSKFuuVOFIobbFhxrLH12Es3u2Wr7//bp9iOjU1eb3P9AzGEFq5zTciIjaG1dnxVXDVaytWtvquj9Y8AFObzlt+f6p/U8hslukze+XICFcHo5FAYtaXQsRUXvn6qwwazSo/Pe/AbO5VXXPX7ECm8+ds3x/4KGH0M2eBpNMBtXAgfCeNq1VdRARwBthOyC1Wo2kpCQkJSVZlun1ely7ds0SJtnZ2Thy5AiEEJDL5YiIiKg36WFkZCQUdtxHrTcJHC9ueUMq/fu19RpS9pIAHCvWYmwMb+MhIrKFq7PimO4YJEitukrq0JpD9RpSLSEgUGAqQL4xH5EK25tZREQdkauzwhFXSK0+frxeQ6pFzGbojx6F18SJkNTq1m2LqINjU4oAACqVCgkJCUhI+OUR6QaDoV6gXL16Fenp6RBCQCaTISIiot6Zj8jISCiVjU8ofrpUB0MLT2hUlxbju1f/D5IkQaZQwmTQ270NASC9SIuRUT5QcG4pIqIWcVZWaMwaZBmyWtWQqiquwld/+ao2K5QymPSmFm9LgoQTuhNsShERtYCzskIIAd2BA61qShVXV+OpjRshAVDK5dCbWp4VMBigP3EC6kGDWr4NImJTipqmVCoRHx+P+Ph4yzKj0Yj8/Px6T+g4fvw4zGYzJElCeHh4vTMfUVFRUKlUOFmibXEdG179P1SXFWPInNuR+dN2lOXltGg7WpPA5UoDugS2v0fBExG5iyOyojqsutXzSH31l69QXVyN4XcMR8a2DJTmlLZ4WwIClw2XW1UPERH9whFZEaFSQfz8VMCWemrjRhRrNLhz4ED8mJWFnNZsT5JgzMpiU4qoldiUIrsoFArExsYiNjbWssxoNKKgoKDeveQnT56EyWSCJEkICQ1F9bC5gMz++8fP7v0RR39Yi4DwKNz4u2eQ+dP2FtcuAcjTGNmUIiJyMnuzwmukF7z6ewEtfHDTma1ncHjNYQRGB2LmczORsS2j1T9DlahCjbkG3jLvVm+LiIgasjcrugFozQxOW8+dw+oTJxDt74/nJk/Gj1lZrfsBhIDp6tXWbYOI2JSi1lMoFIiJiUFMTIxlmclkQmFhIfLy8nChoATnWtCQ0mmq8PU/nwAAzHrqZXj5B7S61jyNodXbICIi+zWXFRvNG1Eutexsta5Kh9V/WA0AmPvKXHgHOK6JVGAqQKIs0WHbIyKi5jWXFbqtW2E+f75F5y+qdDr8fsMGAMCrN92EQC8vh9Qrqqpg1mgg8/FxyPaIOqIWnpMkal7d0zb69++PHkNGtWgbm9/5J8ryctB78kz0HHdjq2sSAK5pjK3eDhEROUZdVuh8dLWXs7bAd//4DqU5peg3qx96T+vtsNokSCg2FTtse0RE1DJ1WRGKlh+8/n3bNuSUl+Pmnj1xU0qKI8uDOT/fodsj6mjYlCKn05nsn+G84OI5/PTFR/AOCMKMJ190YC2tm7OEiIgczyBadhVrfmY+dn+4Gz5BPrjlpVscWpMECXph/4M1iIjIOURNTYvel1lYiKUHDiDIywsvT2vNDYCNEzqdw7dJ1JHw9j1yOpOoPQFuTzuoqrgAwmxGTUUZ/jk5tdF1Xr9lBKK7peLRz3fYvN0WPgCQiIicyNzCvXNFQQWEWUBTpsHTKU83us6Lw15ETK8YPLnrSZfVRURETmBu2T45v6oKZiFQptWi26uvNrrOkHfeQa/ISOz57W/tH6A1T/AjIl4pRc6nkKRWPlPJceQtvD2EiIicRw775x10BU+ti4ioI5IUHno9hafWRdRG8F8QOZ2v0v5OUGh8J9z0h783WL5t6b9RU1EGABh31+8Q0cW+e8J9FOzDEhF5GrWkhlHYP+dfeKdw3PzCzQ2Wb35lMzRlGgDApN9PQlRKlN3bNsMML8kxE+ESEVHrST4+gCQBwr7T3Z1DQvDPqVMbLH95506UabUAgMdHjUJKRETL6yKiFmNTipwu0tv+v2aBkTEYtfiBBsv3rvzA0pTqP30BIjp1tXmbEoBYX6XdtRARkXNFyCNwyXgJws7raoNigzDut+MaLN/5352WptTgBYMR2S2yZXUpWnaAQkREjiePjobx3Dm73xcbGIgHhw9vsPy9/fstTamFffuiW3h4y+qKbFnGEFEtXjZCTuevlMHLQ+6bi/TmrRhERJ4mSmH/lUyuECYPc3cJRET0M3lMjN1XSTmbLCQEkkrl7jKI2jReKUVOJ0kS4nwVOF9haPXcUn/67kiL3yvAK6WIiDxRhCLC7qukmvPMsWdavY1gWTCUEjODiMhTyGNiHLq9E7//fes2IEmQx8U5phiiDoxXSpFL9A3zcvtk50EqGWJ92YclIvI0sYpYKOE5DSAJEpJVye4ug4iIriPz86ttTEmecQcGhIAyxb75bYmoITalyCW6BKjgp3TvX7dB4d6QPCXEiIjIQikpkapOhQTP2EcLCPRS93J3GURE9CuqoUM95hY+yc8Piu7d3V0GUZvHphS5hEySMDDMy22HGwoJ6BWidtPoRERkTR91H4fewtdSEiR0UnRCgCzA3aUQEdGvKHv2BLw84MmokgTV4MGQZDycJmot/isilxkc4Y0gtcwtjamJcb7wUvCvOxGRpwqWByNJkeT2q6UEBAZ6DXRrDURE1DhJoYC6kSfpuZxSCdWAAe6ugqhd4FE6uYxCJmFGor9Lz4NLABL8FOgX6gFnVIiIqFnjfcdDDvc9JVWChF6qXohVxrqtBiIiap565EjIwsPdOreU9403Qubn57bxidoTNqXIpWJ8lRgR6e2SsSQAShkwLcGfc0kREbUBAbIAjPUZ65axJUjwkXwwymeUW8YnIiLbSHI5fObMcdPgEhTJyVD27eue8YnaITalyOVGR/ugV7Cz53cSkEvAguRABKndd9adiIjsk6pKddttfFN8p0Atcf5BIiJPJ4+KgteECa4dVJIgeXvDe8YMnvAmciA2pcjlJEnCtEQ/9HHWxOPCDBgNuClShlhfz3nEOBERWSdJEqb5TUOEPMKljakpPlOQoExw2XhERNQ6qpEja5/G5wJCkgCVCr533AFZAB+EQeRIbEqRW8gkCTcm+GFynC/kEhx62BHprYD30c3Y/tXn0Ol0DtwyERG5glJSYrb/bETJo5zbmBK1f8arxiNFneK8cYiIyOEkSYLX1KlQjRjh1HHMAHQAVIsXQx4R4dSxiDoiNqXIbSRJwsBwb9zbIxixvoraZS3dFgC5BEyI9cUdKcFYPHs6KioqsG7dOpjNZofVTERErqGW1JjtPxs9VD0AwOHNKQkS1FBD94MOJ785yawgImqDJEmC9+TJ8J45E1AqAZkTDm9jYrBGqcRXu3czK4icQBJCuPJhaESNEkLgUqUBhwtrkFVhsBx6NPeXU4baMxc+CgkDwrzRN0wNf+Uv80dlZWVh5cqVGDZsGKZMmeLE6omIyJkuGS5hS/UW1IgaiFY+w1WCBAGB7sruGOczDlcuXGFWEBG1A+bycmjWr4fpwoXaJ/O15jBXkgC5HF5TpkA1aBDOnz/PrCByEjalyONU6E3ILNMjT2NErsaAUl39MxJKGRDto0C0jxJxfgp0DlBB3sRkg/v378emTZswa9Ys9OvXzwXVExGRM+iEDoe0h3BCdwI6obM0l2xVt36MPAaDvAehk7KT5TVmBRFR+yCEgDEjA7q0NJguX669csrWq5vqGlkqFVQDBkA9dChkQUGWl5kVRM7BphR5PJNZwGAWMAtALgNUMsnmJ14IIbBhwwYcO3YMt99+OxISOIktEVFbZhRGZOmzcEx3DPmmfEtjSgaZ5eu6BlTd92pJje6q7uij7oNQeWiDbTIriIjaH1NhIfSHD8N4/jzMxcW/XDlVdxxx/WGwWg15bCxUvXpB2asXJGXDhyUxK4icg00pavdMJhM+/fRTFBYW4t5770XQdWc8iIio7TIKI4pMRSgwFaDEVAKDMMAMMxRQwEfmg3B5OCIVkfCT/KyezGBWEBG1X8JggCk/H+aCAgiDofbqKYUCMl9fyGNiIAUG2nTSm1lB5HhsSlGHoNFosHTpUqjVatx9991QqVTuLomIiDwMs4KIiKxhVhA5Fp++Rx2Cj48PFi1ahNLSUnz11VdgL5aIiH6NWUFERNYwK4gci00p6jAiIiJwyy23ICMjA9u2bXN3OURE5IGYFUREZA2zgshx2JSiDqVbt26YPHky9uzZg+PHj7u7HCIi8kDMCiIisoZZQeQYCncXQORqw4cPR0FBAdavX4+QkBDExcW5uyQiIvIwzAoiIrKGWUHUerxSijocSZIwffp0xMTE4IsvvkBFRYW7SyIiIg/DrCAiImuYFUStx6YUdUgKhQLz58+HXC7H559/Dr1e7+6SiIjIwzAriIjIGmYFUeuwKUUdlp+fHxYuXIiioiJ88803fHIGERE1wKwgIiJrmBVELcemFHVoUVFRmDNnDk6fPo2dO3e6uxwiIvJAzAoiIrKGWUHUMmxKUYeXkpKCCRMmYOfOnTh16pS7yyEiIg/ErCAiImuYFUT249P3iACMGjUKhYWF+PrrrxEcHIyYmBh3l0RERB6GWUFERNYwK4jswyuliFD75IwZM2YgMjISn3/+OSorK91dEhEReRhmBRERWcOsILIPm1JEP1MqlViwYAEA4PPPP4fBYHBzRURE5GmYFUREZA2zgsh2bEoRXcff3x8LFy5EQUEB1q9fzydnEBFRA8wKIiKyhllBZBs2pYh+JSYmBjfffDNOnjyJPXv2uLscIiLyQMwKIiKyhllBZB0nOidqRGpqKgoLC7Ft2zaEhYWhR48e7i6JiIg8DLOCiIisYVYQNY9NKaImjB07FoWFhfjqq68QHByMqKgod5dEREQehllBRETWMCuImsbb94iaIEkSbr75ZoSFhWHVqlWoqqpyd0lERORhmBVERGQNs4KoaWxKETVDqVRi4cKFMJvNWL16NYxGo7tLIiIiD8OsICIia5gVRI1jU4rIioCAACxYsAC5ubnYsGEDn5xBREQNMCuIiMgaZgVRQ2xKEdkgLi4Os2bNwrFjx/DTTz+5uxwiIvJAzAoiIrKGWUFUHyc6J7JR7969UVBQgC1btiAsLAzdunVzd0lERORhmBVERGQNs4LoF7xSisgOEyZMQEpKCtatW4eCggJ3l0NERB6IWUFERNYwK4hqsSlFZAdJkjB79mwEBwdj1apV0Gg07i6JiIg8DLOCiIisYVYQ1WJTishOKpUKCxcuhF6vx+rVq2EymdxdEhEReRhmBRERWcOsIGJTiqhFgoKCsGDBAly5cgXfffcdn5xBREQNMCuIiMgaZgV1dGxKEbVQQkICpk+fjvT0dKSlpbm7HCIi8kDMCiIisoZZQR0Zn75H1Ar9+vVDQUEBNm/ejLCwMCQnJ7u7JCIi8jDMCiIisoZZQR0Vr5QiaqVJkyYhOTkZa9euRVFRkbvLISIiD8SsICIia5gV1BGxKUXUSjKZDLfccgsCAgKwatUq1NTUuLskIiLyMMwKIiKyhllBHRGbUkQOoFarsWjRItTU1GDNmjV8cgYRETXArCAiImuYFdTRsClF5CDBwcGYP38+Ll++jI0bN7q7HCIi8kDMCiIisoZZQR0Jm1JEDpSUlIRp06bh0KFDOHjwoLvLISIiD8SsICIia5gV1FHw6XtEDjZw4EAUFBTghx9+QGhoKDp37uzukoiIyMMwK4iIyBpmBXUEvFKKyAmmTp2Kzp07Y82aNSguLnZ3OURE5IGYFUREZA2zgto7NqWInEAmk2Hu3Lnw9fXFqlWroNVq3V0SERF5GGYFERFZw6yg9o5NKSIn8fLywqJFi1BdXY21a9fCbDa7uyQiIvIwzAoiIrKGWUHtGZtSRE4UGhqKefPm4cKFC9i8ebO7yyEiIg/ErCAiImuYFdResSlF5GSdO3fGDTfcgLS0NBw5csTd5RARkQdiVhARkTXMCmqP+PQ9IhcYMmQICgsL8d133yEkJARJSUnuLomIiDwMs4KIiKxhVlB7wyuliFzkhhtuQGJiIlavXo3S0lJ3l0NERB6IWUFERNYwK6g9YVOKyEXkcjnmzZsHLy8vrFq1Cjqdzt0lERGRh2FWEBGRNcwKak/YlCJyIW9vbyxatAgVFRX48ssv+eQMIiJqgFlBRETWMCuovWBTisjFwsPDMXfuXJw7dw4//viju8shIiIPxKwgIiJrmBXUHrApReQGycnJmDJlCvbt24ejR4+6uxwiIvJAzAoiIrKGWUFtHZ++R+QmQ4cORUFBATZs2IDQ0FDEx8e7uyQiIvIwzAoiIrKGWUFtGa+UInITSZJw0003ITY2Fl988QXKysrcXRIREXkYZgUREVnDrKC2jE0pIjeSy+WYP38+lEolPv/8c+j1eneXREREHoZZQURE1jArqK1iU4rIzXx9fbFo0SKUlpbiq6++ghDC3SUREZGHYVYQEZE1zApqi9iUIvIAERERmDNnDjIyMrB9+3Z3l0NERB6IWUFERNYwK6itYVOKyEN0794dkyZNwu7du3HixAl3l0NERB6IWUFERNYwK6gt4dP3iDzIiBEjUFhYiG+++QYhISGIjY11d0lERORhmBVERGQNs4LaCl4pReRBJEnC9OnTER0djc8//xwVFRXuLomIiDwMs4KIiKxhVlBbwaYUkYdRKBRYsGABZDIZPv/8cxgMBneXREREHoZZQURE1jArqC1gU4rIA/n5+WHRokUoKirC119/zSdnEBFRA8wKIiKyhllBno5NKSIPFRUVhdmzZ+P06dPYuXOnu8shIiIPxKwgIiJrmBXkydiUIvJgPXr0wPjx47Fz506cOnXK3eUQEZEHYlYQEZE1zAryVHz6HpGHGz16NAoLC/H1118jJCQE0dHR7i6JiIg8DLOCiIisYVaQJ+KVUkQeTpIkzJw5ExEREVi1ahUqKyvdXRIREXkYZgUREVnDrCBPxKYUURugVCqxcOFCAMAXX3zBJ2cQEVEDzAoiIrKGWUGehk0pojbC398fCxcuRH5+Pr799ls+OYOIiBpgVhARkTXMCvIkbEoRtSExMTG4+eabceLECezZs8fd5RARkQdiVhARkTXMCvIUnOicqI1JTU1FQUEBtm3bhvDwcKSkpLi7JCIi8jDMCiIisoZZQZ6AV0oRtUHjxo1Djx498OWXX+LatWvuLoeIiDwQs4KIiKxhVpC7sSlF1AZJkoSbb74ZoaGh+Pzzz1FdXe3ukoiIyMO0Niv0Qo98Yz6uGq4ix5CDPGMeyk3lnHuEiKgd4XEFuZsk+MmCqM0qLy/H0qVLERISgttvvx0KBe/IJSKi+mzNCr3QI1OfiavGq7UNKHN5o+upoEKEIgJRiih0VXZFhCLCmeUTEZEL8LiC3IVNKaI27sqVK1i+fDl69+6NmTNnQpKkJtfVGs24VmPENY0RhTUm6MwCQggoZBIClDJE+SgQ5aNAiFre7HaIiKhtaS4rik3FOK47jtO60zDCCAkSBKx/PKxbL1IeiX7qfkhWJUMh8SCGiKitsue4QtTUwJSXV/unoABCpwPMZkChgCwwEPLoaMhjYiALDeVxBTWLTSmiduD48eP46quvMHnyZIwYMaLeayYhcK5cj8OFNcipMgIA6mLh+n/8MgDmn7/2lkvoH+aFvmFeCFTJnV0+ERG5wK+zQi/02KPZgxP6EzY3ohpT915/mT+m+kxFrDLWwZUTEZGrNHdcIUwmGM+ehe7AAZguX65dWNdwur6tIJPVNqgASN7eUA0aBNXAgZAFBrriR6A2hk0ponZi69at2Lt3LxYtWoRu3bpBCIFjxTrsyquGxiggAXYdbtSt3y1QhclxvvBnc4qIqM2ry4rJt0/G6eDT0AhNi5tRv1bXnOqn7ocR3iOglJQO2S4REblWY8cVhiNHoN2+HaK6urYRZU8b4ef1FT16wPuGGyALCHBe8dTmsClF1E4IIfDFF1/g4sWLWHDHb7C/Wo3sKkOrtysBUMiAyXF+6B2i5uW3RERtmBACH+//GFUpVZCEBCE5/mOgBAnBsmDM8Z8DX5mvw7dPRETOdf1xxW/mz4fPnj0wXbrU+g3LZIBCAe8bb4Syb18eVxAANqWI2hWdTof3v/wemq7DIckVDjr3/YtugSrMTPKHQsYAISJqi9Jq0rBfu9/p40iQ4C/zxzz/efCT+Tl9PCIiciydToeN772HUeXlUNh7ZZQNFCkp8LnlFkicUL3Dk7m7ACJynEs1QE3KaEAmd3hDCgDOleux+nwFDGb2somI2pqj2qMuaUgBgIBApbkSX1Z+Ca1Z65IxiYjIcWQXLmBsRQXkgMMbUgBgPHsW1StWQBhaf2cHtW1sShG1E5cq9Pj6YmVtM8pJl8IKADlVBnx1sQJmXmRJRNRmFBgLsKtml0vHFBAoM5dhh2aHS8clIqLWMV64AM3atZCEgNPujxACpsuXoVm9GsJstr4+tVtsShG1AxqjGV9fqnTK1VG/JgBcqDDgYEGNC0YjIqLWMgkTNlVvcsvYAgJnDWdxXn/eLeMTEZF9zBoNNGvXWp6e51RCwJiVBf1+11zFS56JTSmidmBzThV0JtdeubQzT4NirdGlYxIRkf0OaA+gxFzisKfstcRWzVbexkdE1AbUfP89hNa1+2vttm0wFRW5dEzyHGxKEbVx58p1yCjTu/xQQwhgw+Uq8FkJRESeS2vW4pD2kLvLgE7ocEx3zN1lEBFRMwxnz8J46pRT5pBqlhCo+fprHld0UJzqnqiN23etBhJgc1Pq2rnT2Ln8LVw9cwyVRfnQazXw8gtAdNdUDLp5MfrdeItN2xEA8jRGXKk2It5P2dLyiYjIiU7rT8MM+2/ByD2dix/f+BE5R3NQkV8BvUYP7wBvxPSKwbDbhmHg3IF2bU9A4LjuOAZ7DYZM4jlRIiJPpNu9u3ZuWhubQ6fy8/HGnj04mpeHa5WV0BgMCFCr0SsqCkv698e8Pn1sG9hshunqVZhycqBISGjFT0BtEZtSRG1YvsaIPI19t9DlZZ7C0R/W1lumKSvB+YO7cf7gbpTl5WDc3Y/ZtC0ZgCOFNWxKERF5ICFEi69Oyj2Zi8NrDtdbVl1SjXO7zuHcrnMoySnB5N9PtmubGqHBBcMFJKuSW1QTERE5j+naNZiuXrXrPSevXcPqEyfqLSupqcGuixex6+JF5JSX4/HRo23bmEwG3YEDbEp1QGxKEbVh6UVau66SAgDvwCAMnr0EnQYMh39YJGoqSrFnxfvIPn4QALDv86U2N6XMADLK9JhkMMNXyTPfRESeJM+UhwpzRYve6xPsg+G3D0eXEV0QEBkATakGO97bgUsHLwEAdn+w2+6mlAQJp3Sn2JQiIvJA+kOHAJnMrgnOg729cceAARiRmIgof3+U1tTg3Z9+woErVwAA76el2d6UMpthPHMG5upqyHx9W/IjUBvFphRRG5ZVYf9cUimjJiNlVP0DidCEznhr0QQAgK66yq7tCQA5VQakBKvtrISIiJzpmvEaJEgtmuC85+Se6Dm5Z71lYV3C8OrYVwEA2ir7J8EVEMgz5UEIAUly2kPGiYioBQyZmXY/cW9Kt26Y0q1bvWWdQ0Iw5v33AQBVOp19RZjNMF26BFlqqn3vozaNlzYQtVE1RjOqDK17VKvZbEZF4TUcWPc/y7LOg0bZtQ0ZYPcthERE5Hz5xnyHbMdsNqM8rxz7lu+zLOs6qmuLtqUTOlQJ+05+EBGRc5k1GojKytZtw2xGXkUFlh/+5dbvUZ062bcRmQzG3NxW1UFtD6+UImqjrrWyEfTu7Tcg5+QvoSFJErqPmoxbnvmPXdsxg00pIiJPdM10rUVXSV3v9cmv4/Lhy5bvJUlCzyk9sfDNhS3eZoGxAP4q/1bVRUREjmPKy2vV+yctXYpD181HJaH2Kqq3Z860b0NmM0xsSnU4vFKKqI0q0Zkcuj1JJoNMoYCw87JdACjSsilFRORpqsyOvyJJkkmQKWQQ5pY1uyRILZ7nioiInMNcXOzQ7ckkCQqZDGYbn+JXr5bCQofWQp6PV0oRtVEGs7B7kvPrzf6/f6Omsgzl13KRtnYZLh87iNPbv0d5fi4e/myLXdsyte4uQiIicjAhBMxo/c55wX8WQFOmQdnVMuz9eC8uHriIE9+dQFluGf7w4x9atE2j4IkMIiKPYjAAkgS0oIkEAP+ZMQNlWi2ulpfj40OHkJaTg+8yMpBbUYHt991n17aEkRnR0bApRdRGtXaK2Ohuv0wgmDrhJvx9QncYdVpcPX0UhZfPIzyxi+uKISIijxSTGmP5us/0Pvhr8l9h0BqQk56DgqwCRCRH2L9RZgYRUbvSKyrK8vWMHj3Q+eWXoTUakZ6bi6yiIiSHhdm+MT4Io8Ph7XtEbZRCJrXoKimDtqbR5dc/CUlbWW5fLcwOIiKPIkkSZK34mKev0Tex4V++rClvPE+sUfCcKBGRZ1EqW3SVVI3B0Ojy6w8NyrX2Pa1VUjAjOhr+Fydqo0LU8ha97+3bJiOh90Ak9huKoKg4VJUWIW31x5ZmldLLGxGdulnZSn2hXtyVEBF5Gj+ZX4vnb3ptwmtIHJSIzsM6IzguGJVFldj70V4YamoPQJTeSkR2i7R7uwICAbKAFtVERETOIQsNbdH7xn/wAQbFxWFYQgLiAwNRWF2Njw4eRM3Pt+B5KxToFh5uXy32XFVF7QKPJInaqCiflv3z1ddocOiblTj0zcpGX7/xsWeh9vWzeXsyADEtrIWIiJwnWhGNSn1li57Ap9PokLYiDWkr0hp9fdbzs+Dl79WiuiIV9jeziIjIeeTR0S16X7Vej8/S0/FZenqjr/99yhT4q9W2b1AmgyI2tkW1UNvFI0miNspbIYOfUoYqg30T2Y5e8iAydm1CwcVMVJcWQwiBgPAoJPQZhKFz70SnAcPt2p4ZLW+QERGR80TII5CJzBa9d8LDE3By40nkn81HVXEVhBAIjApE0uAkjLx7JLoMt2Pewet4SV7wlXxb9F4iInIOmY8PJH9/iMpKu973yIgR2JiZibOFhSiqroYAEOXvjyFxcbh78GCMSEy0rxCzucUNMmq7JCFaOMU+EbndppwqHC3StvgJfI4gA/BwrxD4KDlFHRGRJ8k15mJN5Rp3l2EhQUKSIgkz/We6uxQiIvqVmg0boE9PB8xufKy2TAb/xx+HzJcnLzoSHkUStWH9w7zc2pCSAKQEq9iQIiLyQNHyaI+av0lAIFWdan1FIiJyOdXgwW5vSClTU9mQ6oB4JEnUhkV4KxDjo3Db07UFahtjRETkeSRJQj91P3eXYeEj+aCTspO7yyAiokbIIyMhj4sDJDcdWZjNUA4a5J6xya3YlCJq40ZE+bjnailhhrkkD1vWrMDVq1fdUQEREVnRQ9UDcrTsaa0OJYBOuk6QSfzoSUTkqdSjRwNumN3HDCAXwGdbt/K4ogPiJwOiNi45UIUewSqXXy0ll8kwLd4POq0WH374IdatW4eysjIXV0FERM3xknlhkJebzzwLADpg37J9zAoiIg+m7NYNil69XH61lEwuh9fMmdDqdDyu6IA40TlRO1BjNOOD06XQmlry4O+WmRDriyER3jCbzTh27Bi2bduGmpoaDB06FKNHj4aXF2/rIyLyBCZhwsqKlSg1l8J1KVHfdJ/pqDhdwawgIvJwZo0GVW+/DaHVuuyqKa8pU6AePpzHFR0Um1JE7cSlSj1WZ1XA2dMTSgC6BCgxp3MAZNedRdHr9di3bx/27dsHhUKBsWPHYtCgQZDLPeC2ESKiDq7QWIhVlatc3pSSIKGbshtu8LsBALOCiKgtMF68iOrPPnP+xOeSBEXXrvBZsACS7JebuJgVHQubUkTtSGaZDl9drHTaIYcEIMFPiXldAqCQNX5Zb2VlJbZv346jR48iODgYkyZNQkpKCiR3TZpIREQAgGPaY9hRs8Nl40mQECwLxnz/+VDL1PVeY1YQEXk2Q0YGNGvWOK8xJUmQJyXB99ZbISkUja7CrOgY2JQiamcuVOjx1cUKGM1weHMqJUiF6Yn+TTakrpefn4+tW7ciKysLCQkJmDJlCmJjYx1cERER2eNAzQH8pP3J6eNIkBAgC8A8/3nwlTX9eG9mBRGR5zJkZUGzejVgMjm8OaXo2RM+s2c32ZC6HrOifWNTiqgdqtCb8H12FS5VGlq9LQmAUgZMifdDarDa7jMT58+fx+bNm1FQUIBevXph4sSJCAoKanVdRETUMunadOyq2QUJktNu5wuVhWK2/+xmG1LXY1YQEXkmc3k5NOvXw3ThQus3JkmAUgnvadOg7NOHxxUEgE0ponZLCIHjJTrsyq1GtVFAgn1XTtVFRPcgFSbF+cFP2fKHdXLSQiIiz5JjyMHm6s2oFtUOa0zVNbn6q/tjuPdwKCWlXe9nVhAReSYhBAxHj0K7bRtEVVVtc8meNsLPzSdFz57wnjoVMn//FtfCrGh/2JQiaufMQiCrXI/DhVpcrqq9cqqu4VT3j1/6+U/dRbk+Cgn9w7zQL9QL/irHTSjISQuJiDyHXuixV7MXx/XHW3XVVN17A2QBmOo7FTGKmNbVxawgIvJIwmyGMTMTugMHYLp4sXahJNX+qbu971ffSz4+UA0eDNWAAZAFBDisFmZF+8GmFFEHojOZka8x4VqNEQU1RhjMAmYBKCQgQCVHTUEODv64EU8+dD+8vb2dVkfdpIXp6ekICQnhpIVERG5UYirBCd0JnNSdhBFGmxpUQgjIJBkEBKLl0ejr1RfJymTIJccdDDAriIg8l9DpYMrLq/2Tnw+h1wNmMySFAlJgIHJ0Onx/+DDuf/JJHldQs9iUIiKL4uJivP3221i8eDGSk5OdPl5+fj62bNmC8+fPc9JCIiI3MwgDMvWZuGq8imvGaygzlzXanFIJFaqzq9EjvAeGRA5BuCLcqXUxK4iI2h4eV5Ct2JQiIgshBF599VUMHDgQEyZMcNm4WVlZ2LJlCyctJCLyIAZhQJmpDEYYYRZmyCU5fGW+8IUv/v3vfzMriIioSTyuIFuxKUVE9XzxxRfQarW44447XDouJy0kImo7mBVERGQNs4JsoXB3AUTkWRISErBt2zaYTCaXThQok8nQv39/pKamWiYtTE9P56SFREQeiFlBRETWMCvIFi1/xjsRtUsJCQkwGo3Iy8tzy/gqlQrjxo3DI488gpSUFGzcuBHvvvsuzpw5A17YSUTkGZgVRERkDbOCbMGmFBHVExUVBYVCgezsbLfW4e/vj5kzZ+KBBx5AcHAwVq9ejeXLl+Pq1aturYuIiJgVRERkHbOCbME5pYiogU8++QReXl5YsGCBu0ux4KSFRESehVlBRETWMCvIGjaliKiB7du349ChQ/jjH/8ISZLcXY6F2WzG0aNHsX37dk5aSETkZswKIiKyhllB1rApRUQNnD9/Hp999hkeeughhIWFubucBvR6vWXSQoVCwUkLiYjcgFlBRETWMCvIGs4pRUQNxMXFQZIkt9//3RROWkhE5H7MCiIisoZZQdbwSikiatT777+PqKgozJo1y92lWJWfn48tW7bg/PnzSEhIwJQpUxAbG+vusoiI2j1mBRERWcOsoOawKUVEjfrhhx+QlZWFRx55xN2l2IyTFhIRuRazgoiIrGFWUHN4+x4RNSohIQElJSWoqqpydyk2S05Oxv33348ZM2bg0qVLePvtt7FlyxZotVp3l0ZE1C4xK4iIyBpmBTVH4e4CiMgzxcfHAwCys7PRs2dPN1djO5lMhgEDBqBXr16WSQvT09M5aSERkRMwK4iIyBpmBTWHt+8RUZPeeOMNdO/eHTfccIO7S2mxyspKbN++Henp6QgJCcHkyZPRvXt3j3okLRFRW8asICIia5gV1BQ2pYioSV999RWKiopw7733uruUVuOkhUREzsGsICIia5gV1BTOKUVETUpISEBeXh70er27S2m1yMhI3HbbbVi8eDG0Wi0+/PBDfPnllygrK3N3aUREbRqzgoiIrGFWUFPYlCKiJiUkJEAIgStXrri7FIe5ftLCixcvctJCIqJWYlYQEZE1zApqCic6J6ImhYWFwdvbG9nZ2ejcubO7y3GYpiYtHDduHAYOHMhJC4mI7MCsICIia5gV1BTOKUVEzVq1ahWMRiOWLFni7lKchpMWEhG1DrOCiIisYVZQY3j7HhE1KyEhATk5OTCbze4uxWn8/f0xc+ZMPPDAAwgODsYXX3yBTz75BFevXnV3aUREbQKzgoiIrGFWUGN4pRQRNSsnJwcff/wx7r33XsTExLi7HJfIysrCli1bUFBQgN69e2PChAkICgpyd1lERB6LWeG8rCgzlSHflI8CYwGKTEXQi9pJgpWSEqHyUETKIxGpiESwPNjhYxMRORKzgscVjWFTioiaZTQa8a9//QuTJ0/G0KFD3V2Oy5jNZhw9ehTbt29HTU0Nhg4ditGjR8PLy8sp42mNZmhNtbtjtVyCt4IXshJR28GscGxWGIUR5/TncEx3DPmmfACADDKYUf/qguuXhcvD0VfdF91U3aCUlK0an4jIGZgVrjmuaGvYlCIiq5YtWwY/Pz/MmzfP3aW4nF6vt0xaqFAoHDZpodZkxqkSHS5VGpBbbUC1sf6u2EchIcZHgUR/FXqHqOHFJhUReThmhWOy4rz+PH7U/IgaUQMJEgTs+6iultQY7zMe3ZTdOIcJEXkcZoXjjyvaOjaliMiqrVu34tixY3j88cc77Afc6yctDA0NxaRJk1o0aWGVwYy91zQ4UayFUQAS0OThRt1rcgnoGazG6GgfBKg6dmgRkediVrQuK7RmLbZrtiPTkOmQWjorO2Oiz0T4yHwcsj0iIkdgVjjuuKK9YFOKiKzKzMzEqlWr8OijjyI4uGPPWZGfn4/NmzfjwoULSExMxOTJkxEbG2v1fUIInCnVY1NOFfRme8971zaoFDJgcpwfeoeoO2xoEZHnYlb8wt6sqDRX4svKL1FuLrf7yqimSJDgJ/PDLX63IFAe6JBtEhG1FrPiFy09rmhveD8IEVkVHx8PAMjOznZzJe4XGRmJJUuWYPHixaipqcGHH36IL7/8EmVlZU2+xywENuZUYf3lSuha0JACaq+YMpiB77Or8O3lSph4PoGIPAyz4hf2ZEW1uRprK9c6tCEFAAICVeYqrKlcg0pzpcO2S0TUGsyKX7TkuKI94pVSRGST9957D3FxcZgxY4a7S/EYv560cNiwYRg1alS9SQuFENhwuQqnSnUOHbtboAo3d/KHjFdMEZEHYVY01FxWmIUZqytXo8BU4NCG1PUkSAiRhWBRwCLIJd4CTkTux6xoyJbjivZK4e4CiKhtiI+Px+XLl91dhkeRyWQYMGAAevXqZZm0MD09HWPHjrVMWrgvv8bhDSkAyCzXY1euBuNifR2+bSKilmJWNNRcVki9JMvT9ZxFQKDYXIyD2oMY5j3MqWMREdmCWdGQLccV7RWbUkRkk4SEBBw+fBgajQY+Ppw09Xoqlcry9Ixt27bhhx9+wIEDBzB4wlTs0TV/r7ymvBS7/vc2so8dxJXTR2HQ1gAABsxYgHnPvd3se/cX1KBrkAqxvnz0NxF5BmZF036dFZt+2oSAzgGADccZ1aXV2PbWNlw6cAnZ6dkw1BgAAIMXDcbidxbbNP4B7QF0UXZBuCK8NT8GEVGrMSua1tRxhS2ToZeUlOCVV17Bvn37cPDgQdTU1B5X3HHHHVi+fLmLfgL7cU4pIrJJQkICACAnJ8fNlXguf39/zJo1Cw888AACAgPxY4ERQpibfU/ZtSvYuexNXDzyk6UhZSsJwIbLlTDzLmwi8hDMCuvqsqLf4n61O3IblF4pxY//+RHn9523NKRa4qD2YIvfS0TkKMwK664/rggMDMQXX3yBTz75BLm5uU2+Jzs7G//617+wa9cuS0OqLWBTiohsEhgYiICAAE5KaIPIyEiMvXkBZIHhgNT8blauVKHTgOEYe9ejGDTrVrvGEQBKdWZcqGj5AQoRkSMxK2yjM+twWX7Z5k/iCqUCXUZ0wcTHJmLo4qEtGlNAIMuQhWpzdYveT0TkKMwK2/16MvSlS5c2ORm6SqXCmDFj8Oc//xl3332364ttITaliMgmkiQhISGB4WGjI4Vam06AR3bujvs+XI8bHnkacan97R5HAnC4sO2cCSGi9o1ZYZsz+jMwwWTz+lEpUXhkwyOY8bcZSBiQ0KqxT+lOter9REStxaywX3JyMu6//37MmDEDFy9exNtvv42tW7dCq9Va1unZsyd27tyJF198EYMHD3ZjtfZhU4qIbBYfH4/c3FwYDLwypzkGs0Bmud5Jz1GqTwC4WGmA1tj8bYJERK7CrLAux5gDydZ79xxIQCDHyNtliMj9mBX2q5sM/ZFHHsGoUaNw4MABvPXWWzhw4ABMJttPdHgaNqWIyGYJCQkwm83N3stMQGGN0SUNqetdqzG6eEQiosYxK6y7ZrwG4fKkqFVgLIDgXIRE5GbMiparmwz94YcfRrdu3fDDDz/gvffeQ0ZGRpvcv7MpRUQ2i4iIgFqt5qW2VuRpXNsgkgBcc/GYRERNYVY0r8ZcA43QuG18PfSoMFe4bXwiIoBZ4QgBAQF2T4buiRTuLoCI2g6ZTIb4+HiGhxWVejNkEmB20YkKCUCFnrfvEZFnYFY0r1q4f6LxGlGDQAS6uwwi6sCYFY5TNxl6VlYWNm/ejKVLl+Lq1avuLstmvFKKiOwSHx+PnJwcmM1sgjTF5IbLZt0xJhFRU5gVTTML9/9OTKLtzj1CRO0Hs8KxkpOTMX36dMTExCAvL8/d5diMTSkisktCQgJ0Oh0KCwvdXYrHksskuHSqEAmQS66fMJeIqCnMiqbJJbm7S/CIGoiImBWOYTKZcPLkSXz00UdYtmwZampq0KNHD3eXZTPevkdEdomNjYVMJkN2djYiIyPdXY5HClLJYev5Hn2NBmf3bgUA5GacsCwvy7uCE1vXAwDievZHcEx8k9sQAghS8wCDiDwHs6JpfpKf3e/Ra/Q4veU0AODK8SuW5aU5pTj6zVEAQMKABITEh9hWg8z+GoiIHI1Z0ToajQZHjhzBwYMHUVFRgZiYGAQFBSEqKgqnTp2yrHf58mWsXbsWADB48GAkJia6q+RGsSlFRHZRKpWIiYlBdnY2Bg8e7O5yPFKUj+271urSIqx88jcNll84tBcXDu0FAMx99k0MnLmoyW0IO8ckInI2ZkXT1DI1/CV/VIpKm99TWVSJ5Xctb7A8a08WsvZkAQAWvb0IQ28danVbXpIXfCVfm8cmInIWZkXLFBYWIi0tDceOHYMQAr1798awYcNQU1ODTp06NVh/x44d2LFjBwBg2bJluPPOO11bsBU8iiEiu8XHx9frvlN94V5yyCXA5MKJziO9eaUUEXkWZkXTohRRqDJUQbj0Xu9akfJISLzlm4g8BLPCNkIIZGVlIS0tDefPn4efnx9GjRqFQYMGwde39kTDpUuX3FtkC7EpRUR2S0hIwE8//YTy8nIEBvLpPb9mMhoQbqrENfgCsuan7guOScCLR1p+H70EoFugCmo5pwgkIs/CrGhagjIB5wznbF4/NCEU/yn5j0PGTlR61m0bRNSxMSuap9frcezYMaSlpaG4uBjR0dGYPXs2UlNTIZfXPymdlJQE0QYffsSmFBHZLT6+dn6j7Oxs9O7d283VeI7y8nIcOHAAR44cgd4rEMoxc50+pgAwINzL6eMQEdmLWdG48vJyXD10FaK3gKR07RVLcsjRU9XTpWMSETWHWdG4648rdDodevTogZkzZyI+Pr7dXe3KphQR2c3X1xehoaEMD9ReSnvlyhXs378fZ86cgUqlwoABAzBkyBB8Xyghp8rgtJsz6m7bS/BTOmkEIqKWY1b8orGsiI2JRWlUqctu4ZMgIUWVArVM7ZLxiIhswaz4RXPHFUFBQe4uz2nYlCKiFklISEBOTo67y3Abk8mEU6dOIS0tDbm5uQgNDcUNN9yAfv36QaVSAQCmeZvw4ZlSGJ10vCFJwPQk/3Z3toSI2g9mRdNZoVfo8b/y/8EAg0tqkUGGQV6DXDIWEZE9mBXWjyvaMzaliKhFEhISkJ6eDq1WCy+vjnP7mEajwaFDh3Dw4EFUVVWhc+fOuPXWW5GcnNygORSklmNinC825VQ7pZax0T4I8+JunIg8F7Oi6axQQYWxPmOxVbPVJTWN8h6FIHmQS8YiIrIHs8L6cUV7xqMZImqRhIQEAEBOTg66du3q5mqcr6CgAPv378eJEycAAH369MHQoUMRERHR7Pv6h3mjXG/G/vwah9YzMMwLQyK8HbpNIiJHY1Y0nxU9VT2Rpc/CZeNlp93GJ0FCtCIafdV9nbJ9IqLWYlbYdlzRXrEpRUQtEhwcDF9fX2RnZ7fb8BBC4Ny5c9i/fz8uXrwIf39/jBkzBgMHDoSPj4/N2xkb7QOlTMLuPA0koMWHHXXvHRbhjbExPh3qDAoRtU3MiuazQpIk3Oh3I9ZWrkWRqcjhjSkJEoJlwZjhO4OZQUQei1lh+3FFe8SmFBG1iCRJ7fb+b51OZ3n0aklJCWJjYzFnzhz07NmzwaNXbSFJEkZG+SDeV4kNlytRaTDbfdghAfBVSLgp0R+dAtr/veVE1D4wK6xTSSrc4ncLvq76GtdM1xxWnwQJofJQzPGbAy9Zx7kdhojaHmZFx8amFBG1WEJCAn788UcYjUYoFG1/d1JaWooDBw4gPT0der0ePXv2xOzZsxEXF+eQ7Sf4K3FPj2AcKqzB4cIaVBsFZBJgbqJDJQNgBuCjkND/59v11HKZQ2ohInIVZoV1apkat/jfgv01+3FYdxgSpBZfNVX33r7qvhjhPQJKiU9oJSLPx6zouNr+f20icpuEhAQYjUbk5eUhPj7e3eW0iBAC2dnZ2L9/P86ePQu1Wo1BgwZh8ODBCAwMdPh4KrmEEVE+GBbpjfMVelyqNCCv2oiCGqPlKX1yCYjwViDaR4FEfyWSA1WQ87YLImqjmBW2UUgKjPIZhWRVMrZUb0GJucSu5lTdugGyAEz2mYxYZaxD6iIicgVmRcfFphQRtVhUVBSUSiWys7PbXHgYjUacOnUK+/fvx7Vr1xAWFoZp06ahT58+Lnn0qkyS0DVQja6BassysxCW14iI2gtmhX2iFFG4LeA2XDVexTHdMZw3nLc0pmSQWb6ua0LVfd9J2Ql91X0Rr4jn/FFE1OYwKzouNqWIqMVkMhni4uLa1P3f1dXVlkevVldXIzk5Gbfddhs6d+7s9g/xbEYRUXvErLCfJEmIU8YhThkHvdCj0FSIAmMBik3FMAgDAEApKREiD0GkPBJhijCoJbWVrRIReS5mRcfFphQRtUpCQgIOHDgAIYRH73yvXbuGtLQ0nDhxAjKZDH379sXQoUMRFhbm7tKIiNo9ZkXLqSQVYhWxiFXwdjwiat+YFR0Tm1JE1CoJCQnYuXMnioqKEB4e7u5y6jGbzcjMzERaWhouXbqEgIAAjB8/HgMGDIC3t7e7yyMi6jDqsuJy0WWYA83QCR3MMEMuyREoC0SYPMxtE3IzK4iIPAOPKzomNqWIqFViY2MhSRKys7M9Jjx0Oh3S09ORlpaGsrIyxMfHY+7cuejRowdkMj69jojIVYQQuGy8jBOhJxBwXwC+UXwDVDdcT4KEIFkQuqq6ope6F/xl/k6vjVlBRORZeFzRMUlCiJY9b5aICIDJLPDfz7+Ed2Q8wrv0QJXBDJMQUMkkhHrJEeWjQKyvEkFqudNrKSkpsTx61Wg0IjU1FUOHDkVsLG95ICJyJSEETuhP4FDNIVSKSpufIle3XmdlZ4z0HokQeYjDa2NWEBF5rg8++AARERG4+eab3VoHs8J1eKUUEbVIhd6E9CIt0ou00PYYi0ohUFiqq3fIcanSAPPPX8f7KjAw3BvdglQOndBbCIFLly4hLS0NZ8+ehbe3N4YOHYrBgwfD39/5Z9qJiKi+MlMZNldvRp4pz7LMlobU9etdNFzEJcMlDPcejgHqAZBJrTsbzawgImobEhISkJmZ6ZaxmRXuwSuliMguZiFwoKAGu/I0EAI2HmYAEmrXDfOSY0aiPyJ9WtcTNxqNOHHiBNLS0pCfn4+IiAgMHToUvXv3hlLpnnlJiIg6uvP68/ih+geYYba5EWVNtDwas/xmQS2z/+lyzAoiorbl9OnTWLNmDR5//HGXNYKYFe7FphQR2axCb8KXFypwrcbU4m3UXSM1NsYHQyO87X6yRmVlJQ4dOoRDhw5Bo9GgW7duGDp0KDp16uTRT+kgImrvMvWZ2Fi90WHNqDoSJITIQjDXfy68ZF42vYdZQUTUNlVWVuK1117D3LlzkZqa6vSxmBXux9v3iMgmZToTPjtXjmqD2frKzag7VNmRq0G1wYwJsb427fRzc3ORlpaGkydPQi6Xo3///hgyZAhCQ0NbVQ8REbVetiHbKQ0poPaWvhJzCb6p+gZz/edCLjU9RyGzgoiobfP390dwcDCys7Od1pRiVngWNqWIyKoaoxkrf25IOfJw42ChFl4KGUZG+TT6utlsRkZGBtLS0pCdnY3AwEBMmjQJ/fv3h5eXbWfLiYjIuXRCh03Vm5w6hoDANdM1HNIewlDvofVeY1YQEbUvCQkJyMnJceg2mRWei00pIrJqc04VKh3ckKqzO0+DTv5KxPj+cr+2VqvFkSNHcODAAZSXlyMxMRHz589H9+7d+ehVIiIPs0uzCzWixilXSf1amjYNnZWdEa4IZ1YQEbVTCQkJOH78OHQ6HdRq++cTvB6zwvNxTikiatbZMh2+uljZ7Dq5GcdxfPPXuHhkP8ryclBdWgwvvwDE9x6IMXc8jE4Dhjf5XglAkFqG36QEo7y0BGlpaTh69ChMJhN69+6NoUOHIjo62sE/FREROUKBsQCrKlfZtO6V41eQ/lU6zu87j9IrpagqqoJXgBeSBiVhwqMT0GV4F6vbkCAhXIQjcH8gs4KIqB1KT0/HsmXL8NVXX8FgMKCkpASBgYEYNmwYnnzySYwePdqm7RQXF/O4oo1gU4qImiSEwPunS1Gmb34eqa9e+CMOrPuk0dckmQy3vvQRek2c3txICMk7jbyDO+Dj44PBgwdj0KBB8PPza0X1RETkbFuqt+CM/oxNV0mtfnw19i3f1+hrkkzCncvuRN8ZfW0aV79Wj8FdmRVERO3NAw88gPfff7/R12QyGdasWYM5c+Y0+roQAhcuXEBaWhrOnTvH44o2grfvEVGTLlcZrDak6viHRWDQrMVI7DcUNZXl2PbBKyi8lAVhNuO71/7WbFNKCIGywFjMnDkLvXv3gkLBXRMRkafTmrU4qz9r1217AZEBGHrbUHQe2hmacg02vbwJBecKIMwCX//f17Y1pQQwcNFAjPMb1/LiiYjIY0VFRWHYsGHo0qULBg4ciOeeew5nz56F2WzG448/3qApZTAYcPz4caSlpaGwsBCRkZGYNWsWevXicUVbwCuliKhJX1+sQGaZHtbaUpfS9yMmpQ9U3r9MWJ6XeRJvLhxv+f6vW0/DLyS82e3c2T0IUT4MDiKitiBDn2HXBOcX9l9AXJ84qHxUlmVXT17FK2NesXz/97N/h3+4v9VteUleuD/ofvsKJiIij7dnzx4MGDAA6enp2LlzJ/70pz/h5MmT6Nevn2Wd/Px8REREoKKiAgcPHsThw4dRU1ODlJQUDB06FImJiTY93Zs8A4/+iKhJ2VUGqw0pAEjqP6zBsv9v725jozjuOI7/Zne9d+dzKAd+wAWM4/QigRNhVyBMRKAqdZI+CaFKrSkqqRBNX/ZFFEoqRbSirVBfVOq7lqioSSNRRCJCAmkFcqoKpKJKbcAURPvCWKAGcInixo/nu93pC1KryGd8PnvXnPP9+M35PDv/ebXn+d3szNKVLff8XpVM3bcPI+nGUJ5QCgAqRH+hX44chSV9UkgtHS2T3qtruffLCj/lT2pTzJgd01A4pBqHxzEAYCHZtGmTpLubnefzed2+fVvZbPaeNgMDAzp79qyuXLkiz/PU3t6uDRs2KJPJzMeQMUvM/gAUNZwPNVIofyHl37tPTrxubu9Qonr6icOtkULZ9QAA8bpVuFVyIDWVi29fnHjdsrFFiZrST1nqL/SrxieUAoCFqLGxUZ7n6fr16+ru7p54P5vN6siRI8pkMurs7FR7e/usT+jD/CKUAlDUnbHyA6J/Xbmot3/2oiTJ8xP6yvM/nvYaK6l/lFAKACrFh+GHs7r+xoUbeuP7b0iSvISn7T/ZXvK1RkYD4cCs6gMAHlye52n58uXq7u7WwYMHJUmu62rnzp3q6upSNpuV4zjzPErMBUIpAEWNh+Wtkup777x+871vKjc0KMfz1PXTX2n5mhJPUyqzJgAgfgVb/hcJved7degbhzQ2OCbHc7Tr5V1a2bay5OuNzKzqAwAefIODgzpw4IByuZxc19WhQ4e0e/fu+R4W5hihFICiHM18c8B//vmPeu35bys/NiLPT2jHwZe15nNfLPl6tiMEgMphyrxrX333qg7vOqzxkXF5CU/P/vpZPf6lx2fUh5Utuz4A4MF3+vRp7du3T7lcTolEQkePHtW2bdvme1iIAKEUgKJS3sz+2b/87ikdefE5Bflx+alqfevnv9VnNmyeUR/VHktwAaBS+MZX3uZndE3PyR69sucVBeOB/LSvPa/t0aNbHp1xbSsr35S2KToAoLIcP35cXV1dGh8fVzqd1okTJ7R169b5HhYiQigFoKi6lCeju3s9TefSmRP63Q++qzAIZIzR1udekOf76nvv/ESbFa3t8vypNyF0jNSY5pYEAJWi3q1XX6FPtqRPCunCmxf06ndeVRiEMsbomReekZfw1Hu+d6JNU3uTvERpnwW1Xm1Z4wYAPLiOHTumHTt2KPh4XrF//34lEgmdO3duos369evZ3HwBYQYIoKgqx2hJwtUHuWDatlfPnVEY3G1nrdXvf/GjSW32nvyrMp9umrKP0ErLUtySAKBSNHgN6iv0ldz+8pnLCoO7p/VZa/XWD9+a1OalCy9padPSkvqrc+tKrg0AqAynTp1S8H/zir17905qc+3aNTU3N8c8MkSFZ2UATCn7KT+2HTuMpIcX8SgGAFSKRq+x5FVSc22Js4TH9wAAWACMtZbjrgAUNZAL9MsrszvyuxSOpOxiX9sfXhR5LQDA3AhtqMP/OaxhOxx77S2pLWpLtsVeFwAAzC1WSgGY0uKEq0cWVUW+WiqUtK4uFXEVAMBccoyjtcm1sZ+C58rVan91rDUBAEA0CKUA3Ffniho5Ec43jKTWjK+VNVXRFQEARKLVb5UX4xalRkaP+Y8p4bDBLQAACwGhFID7Wpxw9fnl6Uj6NpKSrtEXVtRE0j8AIFrVTrU2V2+OpZaRUbWp1sbqjbHUAwAA0SOUAjCtz9YmtSYztxvKGkmOkb7Wskgpj1sRAFSqVr9VTV5T5I/xWVl1pjuVMKySAgBgoWAmCGBaxhh9edVDWj1HwZSR5Brp648s0goe2wOAimaM0VPpp1Tj1EQaTHUkO7SqalVk/QMAgPhx+h6Akllr9Zf+Uf3p5oisVdkHgdclXX21+SHVp+LbhwQAEK2Pgo/0+tDrGgqHZMv+hChuXXKdnkg+IWPi3VQdAABEi1AKwIx9MFbQH64P6cZwQY7unp5XiipH6mioVkdDSi4TCwBYcIbDYb0z9I7eD96fdV/m458nU0+qLdk2+8EBAIAHDqEUgLL1jxb0t3+P6R8DOY0GxW8lRlJ9ylVbbVKtmaR8lzAKABYya616cj06O3pWocIZr5oyMrKyanAb9HT6aWXcTEQjBQAA841QCsCcGMwHujVS0EjBKrRWnjFamnRVn/LkOQRRAPBJMxgOqifXo0u5S8rZnBw5CqdYW/u/vaisrBrdRq1NrlW2KivHsP0pAAALGaEUAAAAIlOwBfXme3WzcFM3Czd1J7ijQMHE39MmrWXeMtW79WrxW1Tr1s7jaAEAQJwIpQAAABAba60CBQoVypPHaigAAD7BCKUAAAAAAAAQO76aAgAAAAAAQOwIpQAAAAAAABA7QikAAAAAAADEjlAKAAAAAAAAsSOUAgAAAAAAQOwIpQAAAAAAABA7QikAAAAAAADEjlAKAAAAAAAAsSOUAgAAAAAAQOwIpQAAAAAAABA7QikAAAAAAADEjlAKAAAAAAAAsSOUAgAAAAAAQOwIpQAAAAAAABA7QikAAAAAAADEjlAKAAAAAAAAsSOUAgAAAAAAQOwIpQAAAAAAABA7QikAAAAAAADEjlAKAAAAAAAAsSOUAgAAAAAAQOwIpQAAAAAAABC7/wL7hVWA7VaPaAAAAABJRU5ErkJggg==\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Step-by-step computation of Degree Centrality\n",
        "def compute_degree_centrality(graph):\n",
        "    n = len(graph) - 1  # Total number of other nodes\n",
        "    degree_centrality = {}\n",
        "    for node in graph.nodes:\n",
        "        degree = len(graph[node])  # Number of neighbors\n",
        "        degree_centrality[node] = degree / n\n",
        "        print(f\"Node {node}: Degree = {degree}, Centrality = {degree}/{n} = {degree_centrality[node]:.2f}\")\n",
        "    return degree_centrality\n"
      ],
      "metadata": {
        "id": "LIzX4LueGVrE"
      },
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "# Step-by-step computation of Closeness Centrality\n",
        "def compute_closeness_centrality(graph):\n",
        "    closeness_centrality = {}\n",
        "    for node in graph.nodes:\n",
        "        shortest_paths = nx.single_source_shortest_path_length(graph, node)\n",
        "        total_distance = sum(shortest_paths.values())\n",
        "        if total_distance > 0:\n",
        "            centrality = (len(graph) - 1) / total_distance\n",
        "        else:\n",
        "            centrality = 0\n",
        "        closeness_centrality[node] = centrality\n",
        "        print(f\"Node {node}: Total Distance = {total_distance}, Centrality = {len(graph) - 1}/{total_distance} = {centrality:.2f}\")\n",
        "    return closeness_centrality\n"
      ],
      "metadata": {
        "id": "2_gVQkxoGpBD"
      },
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "# Step-by-step computation of Betweenness Centrality\n",
        "def compute_betweenness_centrality(graph):\n",
        "    betweenness_centrality = {node: 0 for node in graph.nodes}\n",
        "    for source in graph.nodes:\n",
        "        shortest_paths = nx.single_source_shortest_path(graph, source)\n",
        "        path_count = {}\n",
        "        for target in graph.nodes:\n",
        "            if target == source:\n",
        "                continue\n",
        "            for path in shortest_paths.values():\n",
        "                if target in path:\n",
        "                    path_count[target] = path_count.get(target, 0) + 1\n",
        "\n",
        "        for node, count in path_count.items():\n",
        "            if node != source:\n",
        "                betweenness_centrality[node] += count / len(shortest_paths)\n",
        "\n",
        "    # Normalize the betweenness centrality\n",
        "    normalization_factor = (len(graph) - 1) * (len(graph) - 2) / 2\n",
        "    for node in betweenness_centrality:\n",
        "        betweenness_centrality[node] /= normalization_factor\n",
        "        print(f\"Node {node}: Normalized Betweenness = {betweenness_centrality[node]:.2f}\")\n",
        "    return betweenness_centrality\n"
      ],
      "metadata": {
        "id": "u1Zdn5kyGuzE"
      },
      "execution_count": 5,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Compute and display centrality scores\n",
        "print(\"\\nDegree Centrality:\")\n",
        "degree_centrality = compute_degree_centrality(graph)\n",
        "\n",
        "print(\"\\nCloseness Centrality:\")\n",
        "closeness_centrality = compute_closeness_centrality(graph)\n",
        "\n",
        "print(\"\\nBetweenness Centrality:\")\n",
        "betweenness_centrality = compute_betweenness_centrality(graph)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "2jYZMeaeHTXz",
        "outputId": "1275fc77-511a-48a0-b32f-3428fc950a0e"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n",
            "Degree Centrality:\n",
            "Node 1: Degree = 2, Centrality = 2/5 = 0.40\n",
            "Node 2: Degree = 2, Centrality = 2/5 = 0.40\n",
            "Node 3: Degree = 3, Centrality = 3/5 = 0.60\n",
            "Node 4: Degree = 3, Centrality = 3/5 = 0.60\n",
            "Node 5: Degree = 1, Centrality = 1/5 = 0.20\n",
            "Node 6: Degree = 1, Centrality = 1/5 = 0.20\n",
            "\n",
            "Closeness Centrality:\n",
            "Node 1: Total Distance = 10, Centrality = 5/10 = 0.50\n",
            "Node 2: Total Distance = 10, Centrality = 5/10 = 0.50\n",
            "Node 3: Total Distance = 7, Centrality = 5/7 = 0.71\n",
            "Node 4: Total Distance = 7, Centrality = 5/7 = 0.71\n",
            "Node 5: Total Distance = 11, Centrality = 5/11 = 0.45\n",
            "Node 6: Total Distance = 11, Centrality = 5/11 = 0.45\n",
            "\n",
            "Betweenness Centrality:\n",
            "Node 1: Normalized Betweenness = 0.08\n",
            "Node 2: Normalized Betweenness = 0.08\n",
            "Node 3: Normalized Betweenness = 0.28\n",
            "Node 4: Normalized Betweenness = 0.32\n",
            "Node 5: Normalized Betweenness = 0.08\n",
            "Node 6: Normalized Betweenness = 0.08\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Pagerank"
      ],
      "metadata": {
        "id": "f2a64hfAIozS"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# Convert NetworkX graph to adjacency list\n",
        "def nx_to_adjacency_list(graph_nx):\n",
        "    adjacency_list = {node: list(graph_nx.neighbors(node)) for node in graph_nx.nodes}\n",
        "    return adjacency_list\n",
        "\n",
        "# Convert and print the adjacency list\n",
        "adjacency_list = nx_to_adjacency_list(graph)\n",
        "print(\"Adjacency List Representation:\")\n",
        "print(adjacency_list)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "rkqDre8hHVS7",
        "outputId": "5b550a95-4b29-4e02-eca3-6a17be0e20ec"
      },
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Adjacency List Representation:\n",
            "{1: [2, 3], 2: [1, 3], 3: [1, 2, 4], 4: [3, 5, 6], 5: [4], 6: [4]}\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Step-by-step PageRank computation\n",
        "def compute_pagerank(graph, damping=0.85, max_iterations=100, tol=1.0e-6):\n",
        "    # Step 1: Initialize variables\n",
        "    num_nodes = len(graph)\n",
        "    pagerank = {node: 1 / num_nodes for node in graph}  # Equal initial rank\n",
        "    print(\"Initial PageRank:\", pagerank)\n",
        "\n",
        "    # Step 2: Compute the PageRank iteratively\n",
        "    for iteration in range(max_iterations):\n",
        "        new_pagerank = {node: (1 - damping) / num_nodes for node in graph}  # Teleportation factor\n",
        "\n",
        "        # Distribute PageRank from each node to its neighbors\n",
        "        for node, neighbors in graph.items():\n",
        "            rank_share = pagerank[node] / len(neighbors)  # Share of rank for each neighbor\n",
        "            for neighbor in neighbors:\n",
        "                new_pagerank[neighbor] += damping * rank_share\n",
        "\n",
        "        # Check for convergence\n",
        "        diff = sum(abs(new_pagerank[node] - pagerank[node]) for node in graph)\n",
        "        print(f\"Iteration {iteration + 1}: PageRank = {new_pagerank}, Total Difference = {diff:.6f}\")\n",
        "        if diff < tol:\n",
        "            break\n",
        "\n",
        "        pagerank = new_pagerank\n",
        "\n",
        "    return pagerank\n"
      ],
      "metadata": {
        "id": "G16ZCs4cHq8M"
      },
      "execution_count": 7,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "# Compute PageRank for the graph\n",
        "pagerank = compute_pagerank(adjacency_list)\n",
        "\n",
        "# Display the final PageRank values\n",
        "print(\"\\nFinal PageRank values:\")\n",
        "for node, rank in pagerank.items():\n",
        "    print(f\"Node {node}: {rank:.6f}\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "qLcfk07AHsMz",
        "outputId": "5ccbff48-c3b3-4b4b-d164-8d9b3ba44ca4"
      },
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Initial PageRank: {1: 0.16666666666666666, 2: 0.16666666666666666, 3: 0.16666666666666666, 4: 0.16666666666666666, 5: 0.16666666666666666, 6: 0.16666666666666666}\n",
            "Iteration 1: PageRank = {1: 0.14305555555555555, 2: 0.14305555555555555, 3: 0.2138888888888889, 4: 0.35555555555555557, 5: 0.07222222222222223, 6: 0.07222222222222223}, Total Difference = 0.472222\n",
            "Iteration 2: PageRank = {1: 0.14640046296296297, 2: 0.14640046296296297, 3: 0.24733796296296295, 4: 0.20837962962962964, 5: 0.12574074074074074, 6: 0.12574074074074074}, Total Difference = 0.294352\n",
            "Iteration 3: PageRank = {1: 0.1572992862654321, 2: 0.1572992862654321, 3: 0.2084812885802469, 4: 0.3088383487654321, 5: 0.0840408950617284, 6: 0.0840408950617284}, Total Difference = 0.244513\n",
            "Iteration 4: PageRank = {1: 0.1509218950938786, 2: 0.1509218950938786, 3: 0.24620859214248975, 4: 0.22693922003600825, 5: 0.11250419881687243, 6: 0.11250419881687243}, Total Difference = 0.189308\n",
            "Iteration 5: PageRank = {1: 0.15890090652193717, 2: 0.15890090652193717, 3: 0.21758305650666582, 4: 0.2860162390957219, 5: 0.08929944567686901, 6: 0.08929944567686901}, Total Difference = 0.150070\n",
            "Iteration 6: PageRank = {1: 0.15418141794871196, 2: 0.15418141794871196, 3: 0.24110370495410116, 4: 0.23845759032756597, 5: 0.10603793441045455, 6: 0.10603793441045455}, Total Difference = 0.113995\n",
            "Iteration 7: PageRank = {1: 0.15883981903186456, 2: 0.15883981903186456, 3: 0.22361718918254886, 4: 0.27357720490143467, 5: 0.0925629839261437, 6: 0.0925629839261437}, Total Difference = 0.088873\n",
            "Iteration 8: PageRank = {1: 0.15586512669026462, 2: 0.15586512669026462, 3: 0.2375273875658247, 4: 0.24571527627616646, 5: 0.10251354138873983, 6: 0.10251354138873983}, Total Difference = 0.067623\n",
            "Iteration 9: PageRank = {1: 0.15854210532034613, 2: 0.15854210532034613, 3: 0.2271046859649721, 4: 0.26657244683784137, 5: 0.09461932827824716, 6: 0.09461932827824716}, Total Difference = 0.052422\n",
            "Iteration 10: PageRank = {1: 0.15672672245122254, 2: 0.15672672245122254, 3: 0.23528964945968261, 4: 0.2501991857630956, 5: 0.1005288599373884, 6: 0.1005288599373884}, Total Difference = 0.040008\n",
            "Iteration 11: PageRank = {1: 0.15827425772201298, 2: 0.15827425772201298, 3: 0.22910748338308293, 4: 0.26256446257380367, 5: 0.09588976929954375, 6: 0.09588976929954375}, Total Difference = 0.030921\n",
            "Iteration 12: PageRank = {1: 0.15718034649039567, 2: 0.15718034649039567, 3: 0.23392638345962208, 4: 0.2529263947677645, 5: 0.09939326439591105, 6: 0.09939326439591105}, Total Difference = 0.023652\n",
            "Iteration 13: PageRank = {1: 0.1580807892386444, 2: 0.1580807892386444, 3: 0.23026577303436957, 4: 0.2602476914532751, 5: 0.09666247851753329, 6: 0.09666247851753329}, Total Difference = 0.018244\n",
            "Iteration 14: PageRank = {1: 0.15742630445282857, 2: 0.15742630445282857, 3: 0.233105516764609, 4: 0.25456818250621127, 5: 0.09873684591176128, 6: 0.09873684591176128}, Total Difference = 0.013977\n",
            "Iteration 15: PageRank = {1: 0.15795274247575802, 2: 0.15795274247575802, 3: 0.2309400104949975, 4: 0.25889920113330006, 5: 0.0971276517100932, 6: 0.0971276517100932}, Total Difference = 0.010768\n",
            "Iteration 16: PageRank = {1: 0.1575629185257798, 2: 0.1575629185257798, 3: 0.23261460475882936, 4: 0.2555500108807411, 5: 0.09835477365443503, 6: 0.09835477365443503}, Total Difference = 0.008258\n",
            "Iteration 17: PageRank = {1: 0.15787171172179143, 2: 0.15787171172179143, 3: 0.2313343171631228, 4: 0.25811058656087454, 5: 0.09740583641620998, 6: 0.09740583641620998}, Total Difference = 0.006356\n",
            "Iteration 18: PageRank = {1: 0.1576402006779795, 2: 0.1576402006779795, 3: 0.23232228782243713, 4: 0.2561346451037751, 5: 0.09813133285891446, 6: 0.09813133285891446}, Total Difference = 0.004878\n",
            "Iteration 19: PageRank = {1: 0.1578217335044985, 2: 0.1578217335044985, 3: 0.23156565335568552, 4: 0.2576479140765118, 5: 0.09757148277940295, 6: 0.09757148277940295}, Total Difference = 0.003753\n",
            "Iteration 20: PageRank = {1: 0.15768450519018942, 2: 0.15768450519018942, 3: 0.23214871580050206, 4: 0.2564817891757626, 5: 0.09800024232167835, 6: 0.09800024232167835}, Total Difference = 0.002881\n",
            "Iteration 21: PageRank = {1: 0.15779138418263944, 2: 0.15779138418263944, 3: 0.23170166967812705, 4: 0.2573758814236621, 5: 0.09766984026646608, 6: 0.09766984026646608}, Total Difference = 0.002216\n",
            "Iteration 22: PageRank = {1: 0.1577101446864244, 2: 0.1577101446864244, 3: 0.23204584295861447, 4: 0.25668753486179496, 5: 0.09792316640337093, 6: 0.09792316640337093}, Total Difference = 0.001702\n",
            "Iteration 23: PageRank = {1: 0.1577731336633378, 2: 0.1577731336633378, 3: 0.23178175786096933, 4: 0.257215705057338, 5: 0.09772813487750857, 6: 0.09772813487750857}, Total Difference = 0.001308\n",
            "Iteration 24: PageRank = {1: 0.15772507986752654, 2: 0.15772507986752654, 3: 0.23198494671341624, 4: 0.25680932735237255, 5: 0.0978777830995791, 6: 0.0978777830995791}, Total Difference = 0.001005\n",
            "Iteration 25: PageRank = {1: 0.15776222717916671, 2: 0.15776222717916671, 3: 0.23182896063723646, 4: 0.25712129950475243, 5: 0.0977626427498389, 6: 0.0977626427498389}, Total Difference = 0.000773\n",
            "Iteration 26: PageRank = {1: 0.15773381873169617, 2: 0.15773381873169617, 3: 0.23194892796197158, 4: 0.25688136485527646, 5: 0.09785103485967986, 6: 0.09785103485967986}, Total Difference = 0.000594\n",
            "Iteration 27: PageRank = {1: 0.15775573588352948, 2: 0.15775573588352948, 3: 0.2318567992976034, 4: 0.2570656221840144, 5: 0.09778305337566168, 6: 0.09778305337566168}, Total Difference = 0.000456\n",
            "Iteration 28: PageRank = {1: 0.15773894755148765, 2: 0.15773894755148765, 3: 0.23192763511980416, 4: 0.2569239505396125, 5: 0.09783525961880409, 6: 0.09783525961880409}, Total Difference = 0.000350\n",
            "Iteration 29: PageRank = {1: 0.15775188265999346, 2: 0.15775188265999346, 3: 0.23187322473832134, 4: 0.2570327713025781, 5: 0.09779511931955687, 6: 0.09779511931955687}, Total Difference = 0.000269\n",
            "Iteration 30: PageRank = {1: 0.15774196380635494, 2: 0.15774196380635494, 3: 0.23191505213005822, 4: 0.2569491165191044, 5: 0.0978259518690638, 6: 0.0978259518690638}, Total Difference = 0.000207\n",
            "Iteration 31: PageRank = {1: 0.15774959938788402, 2: 0.15774959938788402, 3: 0.2318829189158146, 4: 0.25701338294759163, 5: 0.09780224968041291, 6: 0.09780224968041291}, Total Difference = 0.000159\n",
            "Iteration 32: PageRank = {1: 0.1577437400993315, 2: 0.1577437400993315, 3: 0.23190761798151904, 4: 0.25696398481618277, 5: 0.09782045850181763, 6: 0.09782045850181763}, Total Difference = 0.000122\n",
            "Iteration 33: PageRank = {1: 0.15774824797031295, 2: 0.15774824797031295, 3: 0.23188864144901689, 4: 0.257001937881187, 5: 0.09780646236458512, 6: 0.09780646236458512}, Total Difference = 0.000094\n",
            "Iteration 34: PageRank = {1: 0.15774478713127113, 2: 0.15774478713127113, 3: 0.231903226507769, 4: 0.25697276776368283, 5: 0.09781721573300299, 6: 0.09781721573300299}, Total Difference = 0.000072\n",
            "Iteration 35: PageRank = {1: 0.15774744870799146, 2: 0.15774744870799146, 3: 0.23189201992795727, 4: 0.2569951809233063, 5: 0.09780895086637681, 6: 0.09780895086637681}, Total Difference = 0.000055\n",
            "Iteration 36: PageRank = {1: 0.15774540468048426, 2: 0.15774540468048426, 3: 0.23190063266339622, 4: 0.25697795545242846, 5: 0.09781530126160345, 6: 0.09781530126160345}, Total Difference = 0.000043\n",
            "Iteration 37: PageRank = {1: 0.15774697624383474, 2: 0.15774697624383474, 3: 0.23189401468993298, 4: 0.2569911913993548, 5: 0.0978104207115214, 6: 0.0978104207115214}, Total Difference = 0.000033\n",
            "Iteration 38: PageRank = {1: 0.15774576906577745, 2: 0.15774576906577745, 3: 0.23189910070374337, 4: 0.2569810193717341, 5: 0.09781417089648387, 6: 0.09781417089648387}, Total Difference = 0.000025\n",
            "Iteration 39: PageRank = {1: 0.1577466970523494, 2: 0.1577466970523494, 3: 0.2318951925279022, 4: 0.2569888357234165, 5: 0.09781128882199133, 6: 0.09781128882199133}, Total Difference = 0.000019\n",
            "Iteration 40: PageRank = {1: 0.15774598413015412, 2: 0.15774598413015412, 3: 0.23189819594946498, 4: 0.2569828288802909, 5: 0.09781350345496802, 6: 0.09781350345496802}, Total Difference = 0.000015\n",
            "Iteration 41: PageRank = {1: 0.15774653210766393, 2: 0.15774653210766393, 3: 0.2318958880267134, 4: 0.25698744472579405, 5: 0.09781180151608243, 6: 0.09781180151608243}, Total Difference = 0.000011\n",
            "Iteration 42: PageRank = {1: 0.1577461110866593, 2: 0.1577461110866593, 3: 0.23189766163048933, 4: 0.25698389751824224, 5: 0.09781310933897498, 6: 0.09781310933897498}, Total Difference = 0.000009\n",
            "Iteration 43: PageRank = {1: 0.15774643467380217, 2: 0.15774643467380217, 3: 0.2318962987204957, 4: 0.25698662333822947, 5: 0.0978121042968353, 6: 0.0978121042968353}, Total Difference = 0.000007\n",
            "Iteration 44: PageRank = {1: 0.1577461860405064, 2: 0.1577461860405064, 3: 0.23189734608523022, 4: 0.2569845286087605, 5: 0.09781287661249835, 6: 0.09781287661249835}, Total Difference = 0.000005\n",
            "Iteration 45: PageRank = {1: 0.1577463771246971, 2: 0.1577463771246971, 3: 0.23189654124024592, 4: 0.25698613829872907, 5: 0.09781228310581548, 6: 0.09781228310581548}, Total Difference = 0.000004\n",
            "Iteration 46: PageRank = {1: 0.15774623029606594, 2: 0.15774623029606594, 3: 0.23189715974063244, 4: 0.256984901297956, 5: 0.09781273918463991, 6: 0.09781273918463991}, Total Difference = 0.000003\n",
            "Iteration 47: PageRank = {1: 0.15774634313567387, 2: 0.15774634313567387, 3: 0.23189668445274358, 4: 0.2569858518737337, 5: 0.09781238870108754, 6: 0.09781238870108754}, Total Difference = 0.000002\n",
            "Iteration 48: PageRank = {1: 0.15774625642760542, 2: 0.15774625642760542, 3: 0.231897049696214, 4: 0.2569851213867928, 5: 0.09781265803089122, 6: 0.09781265803089122}, Total Difference = 0.000002\n",
            "Iteration 49: PageRank = {1: 0.15774632306232628, 2: 0.15774632306232628, 3: 0.2318967690230559, 4: 0.256985682733109, 5: 0.0978124510595913, 6: 0.0978124510595913}, Total Difference = 0.000001\n",
            "Iteration 50: PageRank = {1: 0.1577462718580212, 2: 0.1577462718580212, 3: 0.2318969847106916, 4: 0.25698525135783773, 5: 0.09781261010771422, 6: 0.09781261010771422}, Total Difference = 0.000001\n",
            "Iteration 51: PageRank = {1: 0.15774631120768828, 2: 0.15774631120768828, 3: 0.23189681896403871, 4: 0.2569855828511435, 5: 0.0978124878847207, 6: 0.0978124878847207}, Total Difference = 0.000001\n",
            "\n",
            "Final PageRank values:\n",
            "Node 1: 0.157746\n",
            "Node 2: 0.157746\n",
            "Node 3: 0.231897\n",
            "Node 4: 0.256985\n",
            "Node 5: 0.097813\n",
            "Node 6: 0.097813\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "sorted_pagerank = sorted(pagerank.items(), key=lambda x: x[1], reverse=True)\n",
        "print(\"\\nNodes sorted by PageRank (descending):\")\n",
        "for node, rank in sorted_pagerank:\n",
        "    print(f\"Node {node}: {rank:.6f}\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "vDWsfvFXH9Qj",
        "outputId": "c7278cbe-1a81-4df0-ea9a-54e183f2747f"
      },
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n",
            "Nodes sorted by PageRank (descending):\n",
            "Node 4: 0.256985\n",
            "Node 3: 0.231897\n",
            "Node 1: 0.157746\n",
            "Node 2: 0.157746\n",
            "Node 5: 0.097813\n",
            "Node 6: 0.097813\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Small World Graph"
      ],
      "metadata": {
        "id": "k48v41hQIfLq"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import networkx as nx\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Parameters for the Watts-Strogatz small-world graph\n",
        "n = 100      # Number of nodes\n",
        "k = 4       # Each node is connected to k nearest neighbors in ring topology\n",
        "p = 0.3     # Probability of rewiring each edge\n",
        "\n",
        "# Generate the small-world graph\n",
        "small_world_graph = nx.watts_strogatz_graph(n, k, p)\n",
        "\n",
        "# Visualize the graph\n",
        "plt.figure(figsize=(8, 6))\n",
        "nx.draw_circular(small_world_graph, with_labels=True, node_color='skyblue', node_size=500, edge_color='gray')\n",
        "plt.title(\"Small-World Graph (Watts-Strogatz Model)\")\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 659
        },
        "id": "hFEehfnnIhVq",
        "outputId": "c1f9112c-a64f-4a96-ff0c-498e0294e68a"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Step 2: Compute Degree Centrality\n",
        "degree_centrality = nx.degree_centrality(small_world_graph)\n",
        "sorted_degree = sorted(degree_centrality.items(), key=lambda x: x[1], reverse=True)[:10]\n",
        "print(\"\\nTop 10 Nodes by Degree Centrality:\")\n",
        "for node, centrality in sorted_degree:\n",
        "    print(f\"Node {node}: {centrality:.2f}\")\n",
        "\n",
        "# Step 3: Compute Closeness Centrality\n",
        "closeness_centrality = nx.closeness_centrality(small_world_graph)\n",
        "sorted_closeness = sorted(closeness_centrality.items(), key=lambda x: x[1], reverse=True)[:10]\n",
        "print(\"\\nTop 10 Nodes by Closeness Centrality:\")\n",
        "for node, centrality in sorted_closeness:\n",
        "    print(f\"Node {node}: {centrality:.2f}\")\n",
        "\n",
        "# Step 4: Compute Betweenness Centrality\n",
        "betweenness_centrality = nx.betweenness_centrality(small_world_graph)\n",
        "sorted_betweenness = sorted(betweenness_centrality.items(), key=lambda x: x[1], reverse=True)[:10]\n",
        "print(\"\\nTop 10 Nodes by Betweenness Centrality:\")\n",
        "for node, centrality in sorted_betweenness:\n",
        "    print(f\"Node {node}: {centrality:.2f}\")\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "yu2RN1KmIh7q",
        "outputId": "a2251da5-0f00-4b20-e0bf-a201b71d30f8"
      },
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n",
            "Top 10 Nodes by Degree Centrality:\n",
            "Node 96: 0.08\n",
            "Node 75: 0.07\n",
            "Node 91: 0.07\n",
            "Node 41: 0.06\n",
            "Node 44: 0.06\n",
            "Node 53: 0.06\n",
            "Node 56: 0.06\n",
            "Node 88: 0.06\n",
            "Node 2: 0.05\n",
            "Node 4: 0.05\n",
            "\n",
            "Top 10 Nodes by Closeness Centrality:\n",
            "Node 91: 0.32\n",
            "Node 53: 0.31\n",
            "Node 5: 0.31\n",
            "Node 41: 0.31\n",
            "Node 78: 0.30\n",
            "Node 89: 0.30\n",
            "Node 4: 0.30\n",
            "Node 71: 0.30\n",
            "Node 75: 0.30\n",
            "Node 96: 0.30\n",
            "\n",
            "Top 10 Nodes by Betweenness Centrality:\n",
            "Node 91: 0.14\n",
            "Node 96: 0.09\n",
            "Node 41: 0.08\n",
            "Node 53: 0.08\n",
            "Node 75: 0.08\n",
            "Node 78: 0.06\n",
            "Node 81: 0.05\n",
            "Node 88: 0.05\n",
            "Node 46: 0.05\n",
            "Node 44: 0.05\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Convert and print the adjacency list\n",
        "adjacency_list = nx_to_adjacency_list(small_world_graph)\n",
        "\n",
        "# Compute PageRank for the graph\n",
        "pagerank = compute_pagerank(adjacency_list)\n",
        "\n",
        "sorted_pagerank = sorted(pagerank.items(), key=lambda x: x[1], reverse=True)[:10]\n",
        "\n",
        "print(\"\\nTop 10 Nodes by PageRank:\")\n",
        "for node, centrality in sorted_pagerank:\n",
        "    print(f\"Node {node}: {centrality:.2f}\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "qXArxp-BI24j",
        "outputId": "675002a5-b39c-4a70-992a-609bdbf0c0c2"
      },
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Initial PageRank: {0: 0.01, 1: 0.01, 2: 0.01, 3: 0.01, 4: 0.01, 5: 0.01, 6: 0.01, 7: 0.01, 8: 0.01, 9: 0.01, 10: 0.01, 11: 0.01, 12: 0.01, 13: 0.01, 14: 0.01, 15: 0.01, 16: 0.01, 17: 0.01, 18: 0.01, 19: 0.01, 20: 0.01, 21: 0.01, 22: 0.01, 23: 0.01, 24: 0.01, 25: 0.01, 26: 0.01, 27: 0.01, 28: 0.01, 29: 0.01, 30: 0.01, 31: 0.01, 32: 0.01, 33: 0.01, 34: 0.01, 35: 0.01, 36: 0.01, 37: 0.01, 38: 0.01, 39: 0.01, 40: 0.01, 41: 0.01, 42: 0.01, 43: 0.01, 44: 0.01, 45: 0.01, 46: 0.01, 47: 0.01, 48: 0.01, 49: 0.01, 50: 0.01, 51: 0.01, 52: 0.01, 53: 0.01, 54: 0.01, 55: 0.01, 56: 0.01, 57: 0.01, 58: 0.01, 59: 0.01, 60: 0.01, 61: 0.01, 62: 0.01, 63: 0.01, 64: 0.01, 65: 0.01, 66: 0.01, 67: 0.01, 68: 0.01, 69: 0.01, 70: 0.01, 71: 0.01, 72: 0.01, 73: 0.01, 74: 0.01, 75: 0.01, 76: 0.01, 77: 0.01, 78: 0.01, 79: 0.01, 80: 0.01, 81: 0.01, 82: 0.01, 83: 0.01, 84: 0.01, 85: 0.01, 86: 0.01, 87: 0.01, 88: 0.01, 89: 0.01, 90: 0.01, 91: 0.01, 92: 0.01, 93: 0.01, 94: 0.01, 95: 0.01, 96: 0.01, 97: 0.01, 98: 0.01, 99: 0.01}\n",
            "Iteration 1: PageRank = {0: 0.008441666666666667, 1: 0.008441666666666667, 2: 0.012125, 3: 0.008725, 4: 0.011983333333333335, 5: 0.011497619047619048, 6: 0.006741666666666667, 7: 0.010991666666666667, 8: 0.007450000000000001, 9: 0.010283333333333334, 10: 0.013825, 11: 0.0056791666666666666, 12: 0.004414285714285714, 13: 0.007247619047619048, 14: 0.008866666666666667, 15: 0.007875, 16: 0.010283333333333335, 17: 0.00979761904761905, 18: 0.008583333333333335, 19: 0.008583333333333335, 20: 0.00979761904761905, 21: 0.010000000000000002, 22: 0.010708333333333334, 23: 0.007025000000000001, 24: 0.006033333333333334, 25: 0.00915, 26: 0.015241666666666669, 27: 0.011275, 28: 0.009858333333333334, 29: 0.009575, 30: 0.007025000000000001, 31: 0.012408333333333335, 32: 0.0067416666666666675, 33: 0.011416666666666667, 34: 0.010708333333333334, 35: 0.008583333333333335, 36: 0.008583333333333335, 37: 0.011416666666666667, 38: 0.008158333333333333, 39: 0.010000000000000002, 40: 0.008866666666666667, 41: 0.01566666666666667, 42: 0.005041666666666667, 43: 0.010708333333333335, 44: 0.016658333333333337, 45: 0.009575, 46: 0.009929166666666666, 47: 0.007875, 48: 0.009797619047619048, 49: 0.010708333333333335, 50: 0.009575, 51: 0.010000000000000002, 52: 0.0067416666666666675, 53: 0.012772619047619048, 54: 0.010566666666666667, 55: 0.012408333333333334, 56: 0.015808333333333334, 57: 0.010283333333333334, 58: 0.009575, 59: 0.006812500000000001, 60: 0.00745, 61: 0.010991666666666667, 62: 0.004839285714285714, 63: 0.007025, 64: 0.012833333333333335, 65: 0.012125000000000002, 66: 0.009575, 67: 0.01, 68: 0.005041666666666667, 69: 0.0117, 70: 0.009575, 71: 0.011275, 72: 0.009291666666666667, 73: 0.009089285714285715, 74: 0.009089285714285715, 75: 0.019208333333333334, 76: 0.007601785714285715, 77: 0.010283333333333335, 78: 0.011983333333333334, 79: 0.006458333333333334, 80: 0.010708333333333334, 81: 0.01149761904761905, 82: 0.008158333333333333, 83: 0.013541666666666667, 84: 0.010283333333333334, 85: 0.008866666666666669, 86: 0.008866666666666667, 87: 0.008441666666666667, 88: 0.013825, 89: 0.011214285714285717, 90: 0.007672619047619048, 91: 0.01765, 92: 0.011416666666666669, 93: 0.009575, 94: 0.006812500000000001, 95: 0.009645833333333334, 96: 0.020200000000000003, 97: 0.008512500000000001, 98: 0.008512500000000001, 99: 0.014250000000000002}, Total Difference = 0.209464\n",
            "Iteration 2: PageRank = {0: 0.009751197916666668, 1: 0.009796354166666667, 2: 0.010862058531746033, 3: 0.009346866071428574, 4: 0.011250511904761906, 5: 0.011780311507936507, 6: 0.00800976884920635, 7: 0.009600567460317462, 8: 0.0083711875, 9: 0.010512125, 10: 0.011146589285714286, 11: 0.008215944444444446, 12: 0.0062549404761904764, 13: 0.008694912698412698, 14: 0.008086825396825396, 15: 0.008557361111111113, 16: 0.009995193452380953, 17: 0.0105358878968254, 18: 0.008095932539682542, 19: 0.008242152777777779, 20: 0.01042407242063492, 21: 0.01050890376984127, 22: 0.009985833333333334, 23: 0.007791366071428572, 24: 0.006683583333333335, 25: 0.008572000000000001, 26: 0.012979840277777776, 27: 0.012173537698412699, 28: 0.0101774375, 29: 0.009971514880952383, 30: 0.007813729166666668, 31: 0.011481125, 32: 0.008202722222222222, 33: 0.010543645833333334, 34: 0.010625188492063493, 35: 0.008525992063492064, 36: 0.008513090277777777, 37: 0.010914930555555558, 38: 0.008648027777777779, 39: 0.010341180555555555, 40: 0.009534979166666667, 41: 0.013519236111111112, 42: 0.00613545138888889, 43: 0.010256770833333335, 44: 0.013756291666666668, 45: 0.010054659722222224, 46: 0.012425805555555556, 47: 0.007892202380952382, 48: 0.01037389880952381, 49: 0.009972931547619048, 50: 0.00982185416666667, 51: 0.009529801587301589, 52: 0.0072307876984127, 53: 0.01345268650793651, 54: 0.01148527380952381, 55: 0.01170188888888889, 56: 0.013554534722222223, 57: 0.009699312500000001, 58: 0.010144972222222222, 59: 0.0081671875, 60: 0.007931666666666667, 61: 0.010028333333333335, 62: 0.006370297619047619, 63: 0.008325500000000001, 64: 0.00951327380952381, 65: 0.012195243055555556, 66: 0.01059854166666667, 67: 0.010541875000000001, 68: 0.00622576388888889, 69: 0.009719145833333335, 70: 0.009761645833333334, 71: 0.011889125, 72: 0.009617078373015873, 73: 0.01046547619047619, 74: 0.009353772321428571, 75: 0.01507187748015873, 76: 0.009947330357142858, 77: 0.010038486111111113, 78: 0.011236893353174605, 79: 0.006977271825396827, 80: 0.008999563492063493, 81: 0.011724117063492065, 82: 0.009021319444444446, 83: 0.01283636904761905, 84: 0.009881944444444445, 85: 0.010381909722222225, 86: 0.009547020833333333, 87: 0.009165886904761906, 88: 0.012556324404761903, 89: 0.011571235119047618, 90: 0.008501200396825398, 91: 0.01592632142857143, 92: 0.009974533730158731, 93: 0.009745733630952382, 94: 0.008122031250000002, 95: 0.009420052083333335, 96: 0.015940403769841273, 97: 0.009927395833333335, 98: 0.00967151041666667, 99: 0.010581592261904763}, Total Difference = 0.102167\n",
            "Iteration 3: PageRank = {0: 0.008979429222470239, 1: 0.008910442299107143, 2: 0.011793166668733465, 3: 0.009343515190972223, 4: 0.011956048923611112, 5: 0.011642261615764364, 6: 0.007457998657407408, 7: 0.010384072359457673, 8: 0.00766886732638889, 9: 0.010146598774801589, 10: 0.013009459489087303, 11: 0.007003813194857805, 12: 0.005129027235685941, 13: 0.007516343925500756, 14: 0.008570326984126986, 15: 0.00786405379050926, 16: 0.010252561379794974, 17: 0.010109589175288173, 18: 0.00828926818783069, 19: 0.008160167902612436, 20: 0.009976093067365837, 21: 0.010087606708829367, 22: 0.010298500942460318, 23: 0.0075784206646825406, 24: 0.006135306180555556, 25: 0.008616597172619048, 26: 0.013451737664517197, 27: 0.012019783056382276, 28: 0.010112601009424604, 29: 0.009962790406746032, 30: 0.007603817829861112, 31: 0.011927657237103175, 32: 0.007571022361937831, 33: 0.01081707767857143, 34: 0.0106252697255291, 35: 0.008468620928406086, 36: 0.008527549834656086, 37: 0.010765765604332008, 38: 0.008316115960648147, 39: 0.010211105468750002, 40: 0.009620164640376985, 41: 0.014751121308697091, 42: 0.0056283717881944455, 43: 0.010108215133101853, 44: 0.015166874241898148, 45: 0.009976882740575399, 46: 0.01124497965277778, 47: 0.00796031664186508, 48: 0.00975649690954507, 49: 0.010052804352678572, 50: 0.009763073630952381, 51: 0.009660912400793652, 52: 0.007383376640211642, 53: 0.013376264384448226, 54: 0.011433568708664025, 55: 0.011855269856977515, 56: 0.014640869857804235, 57: 0.010199312604166668, 58: 0.00968042646412037, 59: 0.007385792640128969, 60: 0.007633377380952381, 61: 0.010254121750992065, 62: 0.005455481143707483, 63: 0.007507349027777778, 64: 0.011042371949404762, 65: 0.012325033825231483, 66: 0.009968088740079366, 67: 0.009918733085317462, 68: 0.005485544241898149, 69: 0.010481599079861112, 70: 0.009656281966765873, 71: 0.011410278090277778, 72: 0.009701165164103836, 73: 0.009383033008255387, 74: 0.00971150709679705, 75: 0.017366875196345898, 76: 0.008921772940051021, 77: 0.010116685506779102, 78: 0.012044033129133599, 79: 0.006541251198743387, 80: 0.009512755911044975, 81: 0.011131310045823888, 82: 0.008331972255291007, 83: 0.013144751591435185, 84: 0.010473120990410053, 85: 0.009818047929067462, 86: 0.009278268035714285, 87: 0.009295815771329364, 88: 0.013623640755208331, 89: 0.011492006379322564, 90: 0.007969196628165155, 91: 0.017221861169808204, 92: 0.010411904863177912, 93: 0.009938189926835319, 94: 0.007315017385912699, 95: 0.00967545009920635, 96: 0.018835852862929894, 97: 0.009049495616319446, 98: 0.009174239756944445, 99: 0.012476972098214287}, Total Difference = 0.055062\n",
            "Iteration 4: PageRank = {0: 0.009505465312386326, 1: 0.00954143634211723, 2: 0.011344855722150132, 3: 0.009410020113938789, 4: 0.01160616409922318, 5: 0.011928966290270003, 6: 0.007775542036463452, 7: 0.00987286061738552, 8: 0.008074375729174934, 9: 0.010330755122569446, 10: 0.011854689040529338, 11: 0.007802659665229897, 12: 0.005729920101967002, 13: 0.008248702270584727, 14: 0.008092387123413486, 15: 0.008255569122977983, 16: 0.010018508808484015, 17: 0.01037639109562439, 18: 0.008080255048970834, 19: 0.008142038082368828, 20: 0.010218170218882373, 21: 0.01021014098489367, 22: 0.01012565714680473, 23: 0.007657468410443832, 24: 0.006228164601876653, 25: 0.008437663649289022, 26: 0.01309739801524953, 27: 0.01211112705622648, 28: 0.010153559166484789, 29: 0.009946344891816068, 30: 0.007692025320496445, 31: 0.011847716226395091, 32: 0.00792023786850474, 33: 0.010590160606526261, 34: 0.010519208065909728, 35: 0.008344293242263774, 36: 0.00840182786311246, 37: 0.010784070635006754, 38: 0.008372794434896524, 39: 0.01027798521791639, 40: 0.009695198723286624, 41: 0.014120483009033636, 42: 0.005796636233386382, 43: 0.010250528295355903, 44: 0.014386271608015738, 45: 0.009963705822887043, 46: 0.012093510939258157, 47: 0.007829564100594795, 48: 0.010112344178195714, 49: 0.0099562756735528, 50: 0.009808028312053574, 51: 0.009697801574045041, 52: 0.007391621353438368, 53: 0.013728034732828841, 54: 0.011619809727650227, 55: 0.011986818078834602, 56: 0.014087928235429759, 57: 0.009772858527978257, 58: 0.009931969146485064, 59: 0.007847664167157532, 60: 0.007740929829396082, 61: 0.010063217039687709, 62: 0.005937730038439508, 63: 0.007974288106551753, 64: 0.010057775082133853, 65: 0.012147352898248044, 66: 0.010199286240358384, 67: 0.010219527966507524, 68: 0.005801463034326087, 69: 0.009930794276721645, 70: 0.009772869663269882, 71: 0.011834674522782326, 72: 0.009699291875660146, 73: 0.010080531739960524, 74: 0.00956010370665775, 75: 0.015956109246236458, 76: 0.00972132510197896, 77: 0.010094845023059967, 78: 0.011658244428155214, 79: 0.0065606842262003195, 80: 0.009006160616535967, 81: 0.011301146370663661, 82: 0.008655426822468861, 83: 0.012966261564628313, 84: 0.010153300385392555, 85: 0.010183439645185737, 86: 0.00965861656583168, 87: 0.009295036091075858, 88: 0.013246516577896916, 89: 0.011822491105786152, 90: 0.008203198378998027, 91: 0.0164180059621704, 92: 0.010121393535527046, 93: 0.009753465063757205, 94: 0.007769872296192956, 95: 0.00960878080394862, 96: 0.017385743449554507, 97: 0.009627953717814774, 98: 0.009453541151625538, 99: 0.011353978040320296}, Total Difference = 0.033195\n",
            "Iteration 5: PageRank = {0: 0.009244269082875796, 1: 0.009235020862367362, 2: 0.011685164247940309, 3: 0.009457152861679275, 4: 0.011883035858931938, 5: 0.01176734530563112, 6: 0.007626308910153421, 7: 0.010190383995826294, 8: 0.0078085654816304195, 9: 0.010190070784524708, 10: 0.012586807994966937, 11: 0.007362934138018253, 12: 0.005367703818183163, 13: 0.007745667706519188, 14: 0.008380474694162914, 15: 0.007959831284572236, 16: 0.010205586657676928, 17: 0.010147285442709193, 18: 0.00818325506933719, 19: 0.00810421512389855, 20: 0.010010186397337936, 21: 0.010130375864826109, 22: 0.010163489594264517, 23: 0.007699284705081534, 24: 0.006117229029890977, 25: 0.0084324192179485, 26: 0.013126456002086666, 27: 0.012097631332774009, 28: 0.010084613118946161, 29: 0.00998825882027793, 30: 0.0077095021547670655, 31: 0.01193790648030527, 32: 0.007728100515025766, 33: 0.010635230538662499, 34: 0.010531195594801552, 35: 0.008366263679541873, 36: 0.008399238480498769, 37: 0.010679215300883997, 38: 0.008291147415948184, 39: 0.010224538254804455, 40: 0.00969628811034598, 41: 0.014506887419917831, 42: 0.005716292407232025, 43: 0.010119314790634704, 44: 0.014818050851768788, 45: 0.009990565762074438, 46: 0.011590486336285953, 47: 0.007881869205860056, 48: 0.009844223953175614, 49: 0.010012238483831072, 50: 0.009813520236584453, 51: 0.009739012234232979, 52: 0.007480955408669197, 53: 0.01361157528700879, 54: 0.011631538143604557, 55: 0.01189691314801488, 56: 0.014398409349097595, 57: 0.010043457057274108, 58: 0.009779897480697318, 59: 0.007562401299644184, 60: 0.007677602537327237, 61: 0.010132614418025187, 62: 0.005630892214645564, 63: 0.007675375094523552, 64: 0.010592378217344224, 65: 0.012218584733430026, 66: 0.010019131457938703, 67: 0.009952357428269309, 68: 0.005606083617155899, 69: 0.010225900954789282, 70: 0.009743517704952534, 71: 0.011617173206256147, 72: 0.00975077159546433, 73: 0.00966742631752471, 74: 0.009706521653818634, 75: 0.016831999279290986, 76: 0.009298186383295038, 77: 0.010069758958377958, 78: 0.011981009975007275, 79: 0.006453239111784552, 80: 0.009142155332934008, 81: 0.011037915779832593, 82: 0.008413586305901255, 83: 0.012968264811597246, 84: 0.010373072343860857, 85: 0.009984101958663012, 86: 0.0095234731082721, 87: 0.00945076402563127, 88: 0.01364517100785691, 89: 0.011643949199009742, 90: 0.00800862755463302, 91: 0.016936804196452743, 92: 0.010236748304952824, 93: 0.009897432044679053, 94: 0.007539897288653745, 95: 0.009667250549853883, 96: 0.018354084260870675, 97: 0.009328154923929126, 98: 0.00934326305228735, 99: 0.012037500304674048}, Total Difference = 0.020160\n",
            "Iteration 6: PageRank = {0: 0.00945136226533523, 1: 0.009475563849831016, 2: 0.011540121314373313, 3: 0.009469484653378636, 4: 0.011745075790516884, 5: 0.011912617140922522, 6: 0.0077210476855587365, 7: 0.00998853906646994, 8: 0.007970603999968967, 9: 0.010249804848282872, 10: 0.012128970127961007, 11: 0.007645021196350248, 12: 0.0055902606785656365, 13: 0.008058110815928254, 14: 0.00815449639878077, 15: 0.00814237886543642, 16: 0.01005079658981737, 17: 0.01028176710310457, 18: 0.008079657051114604, 19: 0.008111117586243067, 20: 0.01013768443366786, 21: 0.010138242817808469, 22: 0.010168246077516497, 23: 0.007661688137775395, 24: 0.006120682965440142, 25: 0.00838791718462998, 26: 0.013037743831655367, 27: 0.01208681217229435, 28: 0.010115520868197565, 29: 0.009939412777517583, 30: 0.007694899624590485, 31: 0.011945601889066968, 32: 0.007836532843005842, 33: 0.010567282170460678, 34: 0.010461458923894303, 35: 0.008298430881382986, 36: 0.008356370749851832, 37: 0.010682926480623243, 38: 0.008283996135641998, 39: 0.010234095293893382, 40: 0.00973287511079967, 41: 0.014294764804449515, 42: 0.00574957826367712, 43: 0.010206785752670033, 44: 0.014550063764537605, 45: 0.009953157215839415, 46: 0.011915302216464252, 47: 0.007842493492304738, 48: 0.010007886889073133, 49: 0.009980007015092204, 50: 0.00983887853982293, 51: 0.009760884259537484, 52: 0.007475208083180196, 53: 0.013766192803505679, 54: 0.011666757750972121, 55: 0.01201719371049612, 56: 0.014227438355455146, 57: 0.009858259771550457, 58: 0.009878774103020852, 59: 0.00773753664121861, 60: 0.0077178867006283845, 61: 0.010070469506627482, 62: 0.005807492309326338, 63: 0.007848155871887181, 64: 0.010251212328625345, 65: 0.012139690554322216, 66: 0.010082739508031296, 67: 0.010101760611488533, 68: 0.005712778610681549, 69: 0.010042878448164443, 70: 0.00978042358544096, 71: 0.011808676612411449, 72: 0.009742603840701233, 73: 0.009929440813429327, 74: 0.009646117289731415, 75: 0.01628777072275307, 76: 0.009593414626676254, 77: 0.01008453641497686, 78: 0.011809680411078254, 79: 0.0064358344475457276, 80: 0.00897203317906155, 81: 0.011094120922951957, 82: 0.008499160235373265, 83: 0.012929773925852263, 84: 0.010233814173033932, 85: 0.010093479811983407, 86: 0.009675075222948703, 87: 0.009411194737182752, 88: 0.013498807091598813, 89: 0.011848116350896512, 90: 0.008102362328813364, 91: 0.016572322156275708, 92: 0.010161800245589235, 93: 0.009791880023864854, 94: 0.007679721209363935, 95: 0.009671862915331977, 96: 0.01783336361786501, 97: 0.00953623064496711, 98: 0.009443136605958143, 99: 0.011675799556038017}, Total Difference = 0.012613\n",
            "Iteration 7: PageRank = {0: 0.009365704081379198, 1: 0.009371303041456051, 2: 0.011671182500657134, 3: 0.009497185739877253, 4: 0.011859291280323475, 5: 0.01183147650712129, 6: 0.007672801146212038, 7: 0.010117737021464323, 8: 0.007862573003638344, 9: 0.010204075034544374, 10: 0.012411243443862484, 11: 0.007481811486781877, 12: 0.005462686655146478, 13: 0.007850166298694606, 14: 0.008288200310448208, 15: 0.008007493954966902, 16: 0.010166814925741369, 17: 0.010160443865836822, 18: 0.008137283434333011, 19: 0.008086576751449354, 20: 0.010033538709109273, 21: 0.010138251897025892, 22: 0.010139066043416963, 23: 0.007717855001909003, 24: 0.0060929929870265735, 25: 0.008372464780983512, 26: 0.013029305288171143, 27: 0.012094788412900069, 28: 0.010072510621139312, 29: 0.00997752243597037, 30: 0.007723223436417708, 31: 0.011955185427174959, 32: 0.0077687468981290095, 33: 0.01056475495370348, 34: 0.01047614488001741, 35: 0.008311338664852452, 36: 0.008340314136891878, 37: 0.010639153173358435, 38: 0.008258800080458442, 39: 0.010210581757239615, 40: 0.009720174335791752, 41: 0.014422086653868918, 42: 0.005730201005751876, 43: 0.010144967384368493, 44: 0.014705031824923415, 45: 0.009977842205370475, 46: 0.011713799252898179, 47: 0.00786247336300101, 48: 0.009901366549218065, 49: 0.010013665381611804, 50: 0.009836466740293152, 51: 0.009779699451150493, 52: 0.007507747369980281, 53: 0.013704444443808824, 54: 0.01168142103782822, 55: 0.011944815985479546, 56: 0.014337540521300953, 57: 0.009981088605962857, 58: 0.009827920854796711, 59: 0.007629649856010969, 60: 0.007701034890493733, 61: 0.010102166559945804, 62: 0.0056907360245235065, 63: 0.007738792898455532, 64: 0.010444416713475445, 65: 0.012171303030831155, 66: 0.010031718132191557, 67: 0.00999413856877093, 68: 0.005649665437257757, 69: 0.010160370075497123, 70: 0.009780125971538833, 71: 0.011716639118063657, 72: 0.00976323778945821, 73: 0.00977628659066984, 74: 0.009696710827791465, 75: 0.016638332797409557, 76: 0.009430041208969403, 77: 0.01006050301333131, 78: 0.011940142913787607, 79: 0.0063995767635280625, 80: 0.00900082573635665, 81: 0.010987720679693213, 82: 0.008414823146565368, 83: 0.01289558671428712, 84: 0.010306974912340384, 85: 0.010024767802186462, 86: 0.009617647719205596, 87: 0.009489939293282118, 88: 0.013660219906698098, 89: 0.011731169205357675, 90: 0.008022958039936846, 91: 0.016795765104270367, 92: 0.010192339611046524, 93: 0.009866930762422722, 94: 0.0076094483060939145, 95: 0.009677939410844731, 96: 0.018186900791928248, 97: 0.009441618207198771, 98: 0.009414544302363867, 99: 0.011930948128684837}, Total Difference = 0.008063\n",
            "Iteration 8: PageRank = {0: 0.00944815069135602, 1: 0.009465711996827615, 2: 0.011623188831839215, 3: 0.009502933445286733, 4: 0.011804238796213385, 5: 0.011897696691861555, 6: 0.007704499065903217, 7: 0.01003679479453205, 8: 0.007928296447358471, 9: 0.010218372724383957, 10: 0.01223150120808257, 11: 0.0075853985372304296, 12: 0.005548630164419012, 13: 0.00797860378929287, 14: 0.008185253479966239, 15: 0.008091984434877849, 16: 0.010076734574534523, 17: 0.010231678361112828, 18: 0.008082418043420029, 19: 0.008097799058178591, 20: 0.01010053466803198, 21: 0.010121004198787238, 22: 0.01016991822855294, 23: 0.007679469016668432, 24: 0.00608718025360109, 25: 0.0083606179486684, 26: 0.012998236267413296, 27: 0.012080021839260551, 28: 0.010092573572192445, 29: 0.009942773895630471, 30: 0.00770340874714337, 31: 0.011970477775281436, 32: 0.007805986296856851, 33: 0.010543025079187114, 34: 0.010435559699445693, 35: 0.008279001921649431, 36: 0.00832699419247226, 37: 0.010632727344902969, 38: 0.008247819527855211, 39: 0.010209479394455736, 40: 0.009739337242673996, 41: 0.014348427663651204, 42: 0.0057390184110424555, 43: 0.010181968680581355, 44: 0.014601831450128682, 45: 0.009958065070218765, 46: 0.011842496692119203, 47: 0.007852235753942574, 48: 0.009972696449333546, 49: 0.010000176493574233, 50: 0.009852432702581602, 51: 0.0097868111269388, 52: 0.007505490672673194, 53: 0.013770923615927484, 54: 0.0116865423726095, 55: 0.01201294670324144, 56: 0.014276267756152351, 57: 0.00990454047090942, 58: 0.009866474310877709, 59: 0.007700049931897966, 60: 0.007719244600744498, 61: 0.01007868769409835, 62: 0.005758924314274934, 63: 0.007804639584509819, 64: 0.010320421801926272, 65: 0.012142668565817995, 66: 0.010050171403051554, 67: 0.01006181918996212, 68: 0.005690230214894107, 69: 0.010094967675721192, 70: 0.009791132367729575, 71: 0.011799871322816473, 72: 0.00975941766300646, 73: 0.009875046615321677, 74: 0.009676401670225798, 75: 0.01642391868879098, 76: 0.009543102537934544, 77: 0.010072984662322286, 78: 0.011867095774399353, 79: 0.006385124603069192, 80: 0.008938910660461088, 81: 0.011001789587224023, 82: 0.008432715868935526, 83: 0.012887909284092273, 84: 0.010250462931251477, 85: 0.010055943934477587, 86: 0.009674423611430089, 87: 0.00946507537542838, 88: 0.013601812065022681, 89: 0.011838469438193675, 90: 0.00806023721838365, 91: 0.016632831954990736, 92: 0.01017261497904536, 93: 0.00981782055685342, 94: 0.007654792501294268, 95: 0.00969143521858022, 96: 0.017996317355169836, 97: 0.009517772180075625, 98: 0.009457175377341616, 99: 0.011810190375321805}, Total Difference = 0.005185\n",
            "Iteration 9: PageRank = {0: 0.00942024760878068, 1: 0.009429971198219016, 2: 0.011676569327496455, 3: 0.009516734933711274, 4: 0.011852916417861735, 5: 0.011861555271429696, 6: 0.007688121250471778, 7: 0.010090037077574228, 8: 0.007883578303143688, 9: 0.010204369925158647, 10: 0.012340779960858358, 11: 0.007524157843378086, 12: 0.005502065347443612, 13: 0.007892843341670043, 14: 0.00824427790847739, 15: 0.008029054038513917, 16: 0.01014060800301229, 17: 0.010168582001962488, 18: 0.00811497166851054, 19: 0.008081241078621449, 20: 0.010047904274338342, 21: 0.010134541559358817, 22: 0.010139273247985189, 23: 0.00771584836761147, 24: 0.006078541917582974, 25: 0.008350355485915017, 26: 0.012991051156227344, 27: 0.01208574413058454, 28: 0.010069425752828084, 29: 0.009966525963589021, 30: 0.007721854045439784, 31: 0.011965319021317061, 32: 0.007780270376430068, 33: 0.01053442432550087, 34: 0.010445343706195803, 35: 0.008283581268661177, 36: 0.008313893196483067, 37: 0.010614939432983585, 38: 0.008238529557982578, 39: 0.010198639843436335, 40: 0.009730657088016886, 41: 0.014389910015797742, 42: 0.005732261133391768, 43: 0.010156458359900014, 44: 0.014661681443690212, 45: 0.009970285701335761, 46: 0.011762432408881902, 47: 0.007860324327789391, 48: 0.00993045748713851, 49: 0.010017337439540194, 50: 0.009848343550791783, 51: 0.00979611599036358, 52: 0.007517290413407835, 53: 0.013742212095601824, 54: 0.01169571245386072, 55: 0.011972380351946794, 56: 0.014319836548918002, 57: 0.009958644122517266, 58: 0.009849286640865287, 59: 0.007658544704050946, 60: 0.007714289027470079, 61: 0.01009473445681823, 62: 0.00571279065601535, 63: 0.007764063884454668, 64: 0.010392966211415607, 65: 0.012155840256634614, 66: 0.010035989107708827, 67: 0.010018375798145521, 68: 0.00566765189654567, 69: 0.010143078172218281, 70: 0.009794644173426651, 71: 0.011761251653515985, 72: 0.009767992307838626, 73: 0.009817534224860092, 74: 0.009694565932094723, 75: 0.016566925889274494, 76: 0.00948008333919657, 77: 0.01006028355743509, 78: 0.011921073994173994, 79: 0.006370571641082413, 80: 0.00894082773978791, 81: 0.010957014911503419, 82: 0.008401859304983933, 83: 0.01286141639510803, 84: 0.010272917177999465, 85: 0.010031402689253446, 86: 0.009651456487845527, 87: 0.009501256322678831, 88: 0.013668488324507596, 89: 0.01177510856807407, 90: 0.008027098917287163, 91: 0.016729417738829577, 92: 0.010180599757235995, 93: 0.009853533100139079, 94: 0.007633219385982231, 95: 0.009689780050950926, 96: 0.018132475008490575, 97: 0.009488920834424892, 98: 0.009450099692970726, 99: 0.011909539997068265}, Total Difference = 0.003386\n",
            "Iteration 10: PageRank = {0: 0.009454153949237524, 1: 0.009468313937894891, 2: 0.011660506274561194, 3: 0.009520345852475482, 4: 0.011830774455793154, 5: 0.011891165161259543, 6: 0.007699167860698918, 7: 0.01005735079344002, 8: 0.007910494081426658, 9: 0.010205844215333429, 10: 0.012269872973593818, 11: 0.007563078648569391, 12: 0.0055363199431992215, 13: 0.007945509477778799, 14: 0.008197645044887153, 15: 0.008067829479231486, 16: 0.010092086341432082, 17: 0.010205186007809251, 18: 0.008085688305990003, 19: 0.008090642310063359, 20: 0.010082416965068687, 21: 0.010118030781341174, 22: 0.010163054928589989, 23: 0.0076916686816004, 24: 0.0060744127509012365, 25: 0.008346435513730785, 26: 0.012977893885419088, 27: 0.012077261879471404, 28: 0.010080716953657138, 29: 0.009946847120351723, 30: 0.007709161865930824, 31: 0.011976235907331233, 32: 0.007793791259275231, 33: 0.010526734799851474, 34: 0.010423420526019045, 35: 0.008268584491909309, 36: 0.008309560208504017, 37: 0.010608393901023359, 38: 0.008231292735625739, 39: 0.010196259887712346, 40: 0.009739518535087999, 41: 0.014364892558245895, 42: 0.0057353189393348665, 43: 0.010170538816652811, 44: 0.014619329319925994, 45: 0.00996202434171845, 46: 0.01181414109616756, 47: 0.007857592133453073, 48: 0.009961350026253124, 49: 0.010011761761386108, 50: 0.009857027716357403, 51: 0.009798169541121355, 52: 0.007516759145318842, 53: 0.013770867300305783, 54: 0.011695237003802856, 55: 0.012007142187985813, 56: 0.014296204027819465, 57: 0.009927103927601853, 58: 0.009864674845205392, 59: 0.007687918417760917, 60: 0.007723121268932145, 61: 0.010085506515971489, 62: 0.005739934616783694, 63: 0.007789993954590195, 64: 0.010346627837572907, 65: 0.012145993341630175, 66: 0.01004171327661458, 67: 0.010048396552003952, 68: 0.005684047622693102, 69: 0.010118431581088713, 70: 0.009798279889313397, 71: 0.011797361337064872, 72: 0.009766253755777408, 73: 0.009855997089609271, 74: 0.009688140241475365, 75: 0.01648092425338271, 76: 0.009524951452929448, 77: 0.010066802003936448, 78: 0.011890254920244363, 79: 0.0063616001949677176, 80: 0.008916385419233282, 81: 0.01095859755775951, 82: 0.008402670213766493, 83: 0.012859439184299762, 84: 0.010249575165380678, 85: 0.010039280229892618, 86: 0.009672485281823281, 87: 0.009488484920642725, 88: 0.01364515605650004, 89: 0.011827851682862399, 90: 0.00804182143805786, 91: 0.016656516299075292, 92: 0.010176097041779755, 93: 0.009832291434766577, 94: 0.007649031178891844, 95: 0.009699592423441932, 96: 0.01806226255645436, 97: 0.00951842171473708, 98: 0.009469395563334912, 99: 0.011868591131222538}, Total Difference = 0.002188\n",
            "Iteration 11: PageRank = {0: 0.009445256890862742, 1: 0.009456083827305112, 2: 0.011683188480074106, 3: 0.009527032513377026, 4: 0.011851906341892692, 5: 0.011875500067780003, 6: 0.0076937115667716285, 7: 0.010079519894983874, 8: 0.007891807344875306, 9: 0.01020181109601959, 10: 0.012312552507643047, 11: 0.007540020247885726, 12: 0.005518915580218589, 13: 0.007909799589473066, 14: 0.008223217365817208, 15: 0.00803830609726186, 16: 0.010124871004187033, 17: 0.010173067208537293, 18: 0.008103464286254514, 19: 0.008080221986901996, 20: 0.010055986662051, 21: 0.010129537877671922, 22: 0.010142697910801118, 23: 0.007711598130369569, 24: 0.006071065356078301, 25: 0.00834100189916441, 26: 0.012973935295279656, 27: 0.012079776202974304, 28: 0.010069028370353516, 29: 0.009959821487812041, 30: 0.0077193266288560405, 31: 0.011970957405190275, 32: 0.007783570052017737, 33: 0.01052026702858213, 34: 0.01042865045979573, 35: 0.008269730923052295, 36: 0.008301460174173804, 37: 0.010600777369557755, 38: 0.00822732257906959, 39: 0.010191157446852459, 40: 0.009735037996798947, 41: 0.014377658366441316, 42: 0.005732311152194905, 43: 0.010160538821240173, 44: 0.014643316274687465, 45: 0.009967032909688428, 46: 0.011782357558293478, 47: 0.007861216427488507, 48: 0.009944434163238241, 49: 0.010019834068938062, 50: 0.009854189108119853, 51: 0.009802739056070821, 52: 0.007521174185678093, 53: 0.013758047308000747, 54: 0.011700265554125809, 55: 0.011986564101003483, 56: 0.014314427831726567, 57: 0.009950985395563501, 58: 0.009858982952333568, 59: 0.00767179511588261, 60: 0.007721699605925491, 61: 0.01009370073401836, 62: 0.005721235394657671, 63: 0.007774708941046209, 64: 0.010374900618756193, 65: 0.012151647082984995, 66: 0.010037956976698707, 67: 0.010030727410483348, 68: 0.005675462281589109, 69: 0.010138690410725532, 70: 0.00980069475009128, 71: 0.011781179227023406, 72: 0.009770290105086083, 73: 0.009833972227811218, 74: 0.009695035576302935, 75: 0.01654064551348921, 76: 0.00950044362228909, 77: 0.010061261075314831, 78: 0.011912999997925987, 79: 0.006355011183139993, 80: 0.008913138624452348, 81: 0.010938670925481763, 82: 0.00839044858609045, 83: 0.012843506409138004, 84: 0.01025561139313776, 85: 0.010029829427356482, 86: 0.009663361647197123, 87: 0.009504753110445921, 88: 0.013673113068832473, 89: 0.01179581827348861, 90: 0.008027763206592597, 91: 0.016698398024976874, 92: 0.010178273639334254, 93: 0.009848774878286882, 94: 0.007642699407982885, 95: 0.009698367441578825, 96: 0.018116872067813976, 97: 0.009510185836121187, 98: 0.00946844821752571, 99: 0.011908871573465606}, Total Difference = 0.001457\n",
            "Iteration 12: PageRank = {0: 0.009459719806743897, 1: 0.009472168969612301, 2: 0.011677900902015616, 3: 0.009529218944559293, 4: 0.011842979274647758, 5: 0.011888764026135697, 6: 0.007697567924452528, 7: 0.010066261611216943, 8: 0.007902916761887554, 9: 0.010200557536099152, 10: 0.012284346677780384, 11: 0.007554886518750406, 12: 0.005533015122698557, 13: 0.007931552468490264, 14: 0.008202026034128358, 15: 0.00805591648095201, 16: 0.010099909255243336, 17: 0.01019126747618707, 18: 0.008088070177122243, 19: 0.008086526325281798, 20: 0.010073477368146861, 21: 0.010118451636599163, 22: 0.010156899548903902, 23: 0.007698328309708893, 24: 0.006068852871627457, 25: 0.008339333731036451, 26: 0.012967791861705331, 27: 0.012075650292115393, 28: 0.010074953615307594, 29: 0.009949646431772707, 30: 0.007712447184753061, 31: 0.011977312838050293, 32: 0.0077886440193823845, 33: 0.010517188690007458, 34: 0.010417298765974617, 35: 0.008262754843139295, 36: 0.008299828144474, 37: 0.010596348511910578, 38: 0.008223270340336267, 39: 0.010189270431333036, 40: 0.00973885489777411, 41: 0.014369672917458678, 42: 0.005733584305094261, 43: 0.010165531473818204, 44: 0.014625200831619167, 45: 0.00996392974445923, 46: 0.01180338054403003, 47: 0.007860401492646257, 48: 0.009957931010949782, 49: 0.01001763414903372, 50: 0.009858459620499398, 51: 0.009803285979700373, 52: 0.007521183895583209, 53: 0.01377049315966208, 54: 0.011699211182413053, 55: 0.01200360216536715, 56: 0.014304991240597377, 57: 0.009937954632102593, 58: 0.00986533931994641, 59: 0.0076844134597413806, 60: 0.007726087324962383, 61: 0.01009015332364494, 62: 0.005732328998804312, 63: 0.0077852704637148985, 64: 0.010357144198650962, 65: 0.012148357268351855, 66: 0.010039993938825254, 67: 0.010044019944068967, 68: 0.005682348988440439, 69: 0.010129049147391458, 70: 0.009802154402523723, 71: 0.011796913460412506, 72: 0.009769396728014508, 73: 0.009849555043990262, 74: 0.009693256970686511, 75: 0.01650549685876159, 76: 0.00951882967202643, 77: 0.010064134152978185, 78: 0.01190007032378885, 79: 0.00634985684859304, 80: 0.008902641090558333, 81: 0.010937327736634743, 82: 0.0083881027875234, 83: 0.012842329099060405, 84: 0.010245492958955063, 85: 0.010031198501651429, 86: 0.009671164567311812, 87: 0.009498578276534364, 88: 0.013663743969422654, 89: 0.011820934896700767, 90: 0.0080336361938753, 91: 0.01666548312472556, 92: 0.010177740475077919, 93: 0.009839979274292048, 94: 0.007648703886899264, 95: 0.009704128307945434, 96: 0.018091153724377966, 97: 0.009522374152254102, 98: 0.009477457404178472, 99: 0.011895033760603536}, Total Difference = 0.000952\n",
            "Iteration 13: PageRank = {0: 0.009457055653368058, 1: 0.009468054980698982, 2: 0.011687863330386012, 3: 0.009532475420518455, 4: 0.011852273499174054, 5: 0.011881989481389842, 6: 0.007695874140133315, 7: 0.01007558145035408, 8: 0.007895038004027336, 9: 0.010199515826335824, 10: 0.012301177297825839, 11: 0.007546227681744471, 12: 0.005526394643580794, 13: 0.007916485215837226, 14: 0.008212978815848914, 15: 0.008042041544221626, 16: 0.010116054094874032, 17: 0.010175192396029174, 18: 0.008097440738250803, 19: 0.008080419363803156, 20: 0.010060329627325185, 21: 0.010125841217009775, 22: 0.010145213187021787, 23: 0.0077085124546936255, 24: 0.006067335840283568, 25: 0.008336647636591192, 26: 0.01296578848357642, 27: 0.012076528271356248, 28: 0.010069238587874788, 29: 0.009956313273960486, 30: 0.007717683193833829, 31: 0.011974012266851545, 32: 0.007784454977421984, 33: 0.010513296390931745, 34: 0.010419783386005039, 35: 0.008262823577005585, 36: 0.008295326642979214, 37: 0.010592854409775289, 38: 0.008221362557415809, 39: 0.01018686098429325, 40: 0.009736735389189052, 41: 0.01437309194123254, 42: 0.0057320788893324166, 43: 0.010161715514815343, 44: 0.014634997882238118, 45: 0.009965767338067293, 46: 0.01179075813606852, 47: 0.00786214266719408, 48: 0.009951095512984691, 49: 0.010021295036119052, 50: 0.00985688168564704, 51: 0.009805491894059826, 52: 0.0075228840359820096, 53: 0.013764835786449785, 54: 0.011701835311557364, 55: 0.01199360807618087, 56: 0.014312864402476592, 57: 0.009948601691975742, 58: 0.009863557042947654, 59: 0.007678158023811509, 60: 0.007725785340105817, 61: 0.01009429914223994, 62: 0.00572455895021572, 63: 0.007779420354523264, 64: 0.010368595614726018, 65: 0.012150950993664962, 66: 0.010039096623455665, 67: 0.010036817607526453, 68: 0.005678963369571979, 69: 0.01013778565700826, 70: 0.009803401702570894, 71: 0.011790147069854751, 72: 0.009771509026961752, 73: 0.009840945957465489, 74: 0.009696017461134823, 75: 0.01653107776553493, 76: 0.00950925304880834, 77: 0.010061992992626013, 78: 0.011909780755710498, 79: 0.006346597119693077, 80: 0.008899500427818554, 81: 0.010927965891152894, 82: 0.008382778176276414, 83: 0.012833515578881759, 84: 0.010246577222126588, 85: 0.01002718932112039, 86: 0.009667455382344928, 87: 0.009505853753597892, 88: 0.013675662317509135, 89: 0.011805234491924216, 90: 0.008027549531179248, 91: 0.016683731909982128, 92: 0.010178482866614404, 93: 0.009847532148704395, 94: 0.007647082199607622, 95: 0.009703817954311007, 96: 0.018113851897498517, 97: 0.00952042778634409, 98: 0.009478035788804835, 99: 0.0119120219978645}, Total Difference = 0.000638\n",
            "Iteration 14: PageRank = {0: 0.009463448605904076, 1: 0.00947501702764322, 2: 0.011686227952709786, 3: 0.009533723156260018, 4: 0.011848670699220007, 5: 0.011887977984884177, 6: 0.007697187295044459, 7: 0.010070187060947828, 8: 0.007899658311926997, 9: 0.010198189346873004, 10: 0.01228985541835057, 11: 0.0075519849297475536, 12: 0.005532388896880493, 13: 0.007925555962364446, 14: 0.008203280230426574, 15: 0.008049963526301657, 16: 0.010103554487554907, 17: 0.010184022072450932, 18: 0.008089500583040362, 19: 0.008084189645385334, 20: 0.010069077862412436, 21: 0.010119318026134234, 22: 0.010152878395701531, 23: 0.007701661038819994, 24: 0.00606623420590883, 25: 0.008335811580459072, 26: 0.01296277695980979, 27: 0.012074620882156642, 28: 0.010072239186767222, 29: 0.009951288842027783, 30: 0.007714208658238903, 31: 0.011977396344481648, 32: 0.0077863940018946315, 33: 0.010511914455357797, 34: 0.010414043529169668, 35: 0.008259529412317699, 36: 0.0082945715895378, 37: 0.010590259337897671, 38: 0.008219234550214418, 39: 0.010185611915222345, 40: 0.009738326122069653, 41: 0.014370854949103232, 42: 0.00573265591354866, 43: 0.01016333847896392, 44: 0.01462700868560303, 45: 0.009964691885718632, 46: 0.011799414412328993, 47: 0.007861858551023846, 48: 0.00995707802305683, 49: 0.010020469271235278, 50: 0.009858856448260683, 51: 0.009805614766650584, 52: 0.007522997433532851, 53: 0.013770291144869953, 54: 0.01170108118270745, 55: 0.012001801086609894, 56: 0.01430904792546924, 57: 0.00994322109292309, 58: 0.009866288248290441, 59: 0.00768371319138005, 60: 0.0077279812055179855, 61: 0.01009303989785518, 62: 0.0057292083000556795, 63: 0.007783874731911911, 64: 0.010361615702735683, 65: 0.012149884690932818, 66: 0.010039985489584721, 67: 0.01004272640234367, 68: 0.005681935242465106, 69: 0.010133931037339085, 70: 0.009804106392421609, 71: 0.011797045459880497, 72: 0.009771015613256825, 73: 0.009847521104093326, 74: 0.009695708114306088, 75: 0.016516470709649237, 76: 0.009517008360314678, 77: 0.010063139484749278, 78: 0.0119043924479811, 79: 0.006343717873085247, 80: 0.008894617011017864, 81: 0.010926408277421116, 82: 0.008380620429327057, 83: 0.012832499290078816, 84: 0.010241930131174597, 85: 0.010026974032962195, 86: 0.009670359162686675, 87: 0.009502934629231184, 88: 0.013671860334956888, 89: 0.011817001173537007, 90: 0.008029942687900212, 91: 0.0166686775355791, 92: 0.01017878480638195, 93: 0.009844025604087545, 94: 0.007649585688555867, 95: 0.009706961540195846, 96: 0.01810462922081001, 97: 0.0095257844241583, 98: 0.009482355734685014, 99: 0.01190747724298023}, Total Difference = 0.000424\n",
            "Iteration 15: PageRank = {0: 0.009462777357673428, 1: 0.009473692934758115, 2: 0.01169072603825406, 3: 0.00953533014663256, 4: 0.011852808325612352, 5: 0.011885028374368889, 6: 0.007696742125671348, 7: 0.010074141873236919, 8: 0.007896305407781525, 9: 0.010197982851867377, 10: 0.01229655546078416, 11: 0.007548763393620285, 12: 0.005529842574621189, 13: 0.007919109596388342, 14: 0.008207922067768793, 15: 0.008043427624353377, 16: 0.010111304548102494, 17: 0.010176068444497633, 18: 0.008094304135684311, 19: 0.008080797386257516, 20: 0.010062600567993747, 21: 0.010123557222164688, 22: 0.010146612939701788, 23: 0.007706683043311549, 24: 0.006065485364297735, 25: 0.008334507170645548, 26: 0.012961782318356738, 27: 0.012074854711821046, 28: 0.010069493812724838, 29: 0.009954604392021778, 30: 0.007716814390473597, 31: 0.011975625623088017, 32: 0.007784643660695128, 33: 0.01050975932661197, 34: 0.010415130365405579, 35: 0.008259362359305182, 36: 0.008292197481812561, 37: 0.010588552970940671, 38: 0.008218243232188123, 39: 0.010184478650593434, 40: 0.00973734757112653, 41: 0.014371446654159587, 42: 0.0057318689905735964, 43: 0.010161906470556776, 44: 0.01463104064697242, 45: 0.009965296030126282, 46: 0.011794404306208236, 47: 0.007862725825752283, 48: 0.009954303193777407, 49: 0.010022105802524977, 50: 0.009858048858922613, 51: 0.009806663900417109, 52: 0.007523668184496759, 53: 0.013767790881150673, 54: 0.011702414042489338, 55: 0.011997063153581254, 56: 0.014312524081255393, 57: 0.009948023868874445, 58: 0.009865801658479608, 59: 0.0076813223152514465, 60: 0.007728015983016609, 61: 0.01009511891460252, 62: 0.005725897037580223, 63: 0.007781597753157313, 64: 0.010366439852721957, 65: 0.01215116501883553, 66: 0.010039820235297162, 67: 0.010039806494668879, 68: 0.005680575468209366, 69: 0.010137772175114978, 70: 0.009804693192371117, 71: 0.011794227297559962, 72: 0.009772179935089092, 73: 0.009844093572253, 74: 0.009696874772318325, 75: 0.016527698081649764, 76: 0.009513272988472444, 77: 0.010062412911150289, 78: 0.011908581491021135, 79: 0.0063420032454070486, 80: 0.008892450976655883, 81: 0.010921800162578581, 82: 0.008378076518643062, 83: 0.012827775747427916, 84: 0.010241717305031449, 85: 0.010025101591237158, 86: 0.009668788020933669, 87: 0.009506186130537452, 88: 0.013677033378352438, 89: 0.011809416813183827, 90: 0.008027245472261735, 91: 0.016676668107564713, 92: 0.01017915945915872, 93: 0.009847500628643285, 94: 0.007649337953358846, 95: 0.009707084097470802, 96: 0.018114387583785602, 97: 0.009525617906929885, 98: 0.009483100004905957, 99: 0.011914919012057214}, Total Difference = 0.000285\n",
            "Iteration 16: PageRank = {0: 0.009465698138195361, 1: 0.009476797043312264, 2: 0.011690299163318839, 3: 0.0095360154141361, 4: 0.011851352532969617, 5: 0.011887757806339914, 6: 0.007697164914378165, 7: 0.010071943838238163, 8: 0.00789824093241797, 9: 0.010197071412873389, 10: 0.012291970634117761, 11: 0.0075510230517831355, 12: 0.005532470999107197, 13: 0.007922927114591936, 14: 0.0082034407562729, 15: 0.00804696089399403, 16: 0.010105141812617086, 17: 0.010180277575387687, 18: 0.008090276424594048, 19: 0.008082904825106655, 20: 0.010066930281849316, 21: 0.010119972072497539, 22: 0.010150539677808532, 23: 0.007703256844036694, 24: 0.0060649466924702165, 25: 0.00833405957495676, 26: 0.012960269963509685, 27: 0.012073980480054139, 28: 0.010070985224594832, 29: 0.0099521891554471, 30: 0.007715124527237805, 31: 0.011977343337621061, 32: 0.007785390288556484, 33: 0.010509084414640333, 34: 0.010412265710562835, 35: 0.008257777580370763, 36: 0.008291784958093545, 37: 0.010587134191806177, 38: 0.008217160660551975, 39: 0.010183711056981857, 40: 0.009738004046239474, 41: 0.014371010881293477, 42: 0.005732135883314408, 43: 0.010162355428389315, 44: 0.014627428832815679, 45: 0.009964956932666288, 46: 0.011798018157420152, 47: 0.00786261231811609, 48: 0.009956998450977209, 49: 0.01002181320733387, 50: 0.009858925065367188, 51: 0.009806675892661374, 52: 0.007523763507558168, 53: 0.013770205163672007, 54: 0.011701976642399997, 55: 0.012000963977109314, 56: 0.01431098564014689, 57: 0.009945817124640776, 58: 0.009867023534760001, 59: 0.007683821522266075, 60: 0.007729119048283143, 61: 0.01009474862278255, 62: 0.005727892453193417, 63: 0.007783543937259555, 64: 0.010363623955137242, 65: 0.012150835612796796, 66: 0.010040288145642028, 67: 0.010042448607411245, 68: 0.005681884165389781, 69: 0.010136219398070172, 70: 0.009805069822867947, 71: 0.011797274712157696, 72: 0.009771908019272878, 73: 0.009846977361084964, 74: 0.009696963397418061, 75: 0.016521549145838872, 76: 0.009516633190425929, 77: 0.010062833346218499, 78: 0.011906357287376941, 79: 0.006340410311267116, 80: 0.008890022260794812, 81: 0.010920625017569909, 82: 0.008376614581101095, 83: 0.012826947816155053, 84: 0.010239461766597914, 85: 0.010024652945224078, 86: 0.009669865564583283, 87: 0.009504816681874778, 88: 0.013675469161434955, 89: 0.011814880677905856, 90: 0.00802824803803103, 91: 0.016669682260496425, 92: 0.010179505290198898, 93: 0.009846164916516872, 94: 0.007650480436560993, 95: 0.00970875378970486, 96: 0.018111230540048786, 97: 0.009528104034582008, 98: 0.009485223906555151, 99: 0.011913535587620825}, Total Difference = 0.000192\n",
            "Iteration 17: PageRank = {0: 0.009465620119005997, 1: 0.009476413314366949, 2: 0.01169237963010805, 3: 0.00953681898715068, 4: 0.01185321782892925, 5: 0.011886460367201793, 6: 0.007697100100886639, 7: 0.01007363747941158, 8: 0.007896800748661224, 9: 0.010197066083680694, 10: 0.012294661573321715, 11: 0.007549846460863445, 12: 0.005531489160461689, 13: 0.00792013133264349, 14: 0.008205382731179049, 15: 0.00804386993410734, 16: 0.010108800634846501, 17: 0.010176369788704327, 18: 0.008092688036776416, 19: 0.008081091138445472, 20: 0.010063767358472699, 21: 0.010122261941724088, 22: 0.010147303814966185, 23: 0.0077056832728868915, 24: 0.006064562773367729, 25: 0.008333424919705693, 26: 0.012959775786196255, 27: 0.012074003727255152, 28: 0.010069680092888656, 29: 0.009953807498586393, 30: 0.007716396603730564, 31: 0.011976461817381082, 32: 0.007784650809319293, 33: 0.0105079367087828, 34: 0.010412706169576388, 35: 0.00825761673131201, 36: 0.008290567999743141, 37: 0.010586261756951269, 38: 0.00821662356486513, 39: 0.010183180604257668, 40: 0.009737550749780572, 41: 0.01437088357138829, 42: 0.005731719613181617, 43: 0.01016182339143234, 44: 0.01462908571805279, 45: 0.009965122856742602, 46: 0.011796035730280511, 47: 0.00786305082558269, 48: 0.00995587361868399, 49: 0.010022542531213286, 50: 0.00985852261521394, 51: 0.009807168941610657, 52: 0.007524033721252077, 53: 0.013769090892640376, 54: 0.011702642248733611, 55: 0.011998753189076082, 56: 0.014312545812676866, 57: 0.009948009470962027, 58: 0.009866941202416112, 59: 0.0076829384662076405, 60: 0.007729227441241994, 61: 0.010095786756664999, 62: 0.005726445793526944, 63: 0.007782642075246954, 64: 0.010365735661676895, 65: 0.012151506754760974, 66: 0.01004028455978844, 67: 0.010041282057650617, 68: 0.005681336254444055, 69: 0.010137935137791793, 70: 0.009805339637078095, 71: 0.011796108173806656, 72: 0.009772557956724574, 73: 0.009845593377079638, 74: 0.0096974858068577, 75: 0.01652658634362798, 76: 0.00951519181625175, 77: 0.010062638532449071, 78: 0.011908182289256998, 79: 0.006339472456792136, 80: 0.008888681329834107, 81: 0.010918270854653692, 82: 0.008375306394706947, 83: 0.012824439538085078, 84: 0.0102390404433924, 85: 0.010023707415187834, 86: 0.009669165668899313, 87: 0.009506270979988036, 88: 0.013677755778512593, 89: 0.011811239453486815, 90: 0.008027024224999261, 91: 0.016673193978228133, 92: 0.010179750528235533, 93: 0.009847780312073631, 94: 0.007650573299359731, 95: 0.009708986520680977, 96: 0.018115565427203755, 97: 0.009528339555230976, 98: 0.009485802256490913, 99: 0.011916912588182576}, Total Difference = 0.000131\n",
            "Iteration 18: PageRank = {0: 0.009466994725236343, 1: 0.009477835780501544, 2: 0.011692325124170556, 3: 0.009537187659763621, 4: 0.011852628663793887, 5: 0.011887716184574702, 6: 0.007697221399412606, 7: 0.010072742607046953, 8: 0.0078976169746218, 9: 0.010196521467967335, 10: 0.012292789870544146, 11: 0.007550746466718432, 12: 0.005532674910288721, 13: 0.007921750678263105, 14: 0.008203288413720531, 15: 0.00804543238546309, 16: 0.010105787829203156, 17: 0.010178350598954219, 18: 0.008090671633001336, 19: 0.008082219627848448, 20: 0.010065892803450311, 21: 0.010120370286195323, 22: 0.01014925426762135, 23: 0.007704000809916007, 24: 0.006064298944236643, 25: 0.008333181695968025, 26: 0.012959007236015233, 27: 0.012073598870640448, 28: 0.01007041449646933, 29: 0.0099526667805145, 30: 0.007715593570836558, 31: 0.011977310163834819, 32: 0.0077849381965859245, 33: 0.010507589820899329, 34: 0.010411285940092052, 35: 0.008256840704384948, 36: 0.00829032402776558, 37: 0.010585514769486725, 38: 0.008216082028652007, 39: 0.010182728673672311, 40: 0.009737823253539843, 41: 0.014370930770000324, 42: 0.005731841280736851, 43: 0.010161898425330811, 44: 0.014627417294544878, 45: 0.0099650317554663, 46: 0.011797567027536019, 47: 0.007863002038910974, 48: 0.009957107775077917, 49: 0.010022447000377337, 50: 0.009858898544620475, 51: 0.009807157107761262, 52: 0.0075240937921676986, 53: 0.013770169433411182, 54: 0.011702410096717674, 55: 0.01200060115003498, 56: 0.014311937349029627, 57: 0.009947118050332611, 58: 0.009867508953348668, 59: 0.0076840855250111416, 60: 0.007729784228423105, 61: 0.010095733476003479, 62: 0.005727320954034042, 63: 0.007783522007333678, 64: 0.010364570445153388, 65: 0.012151414752601055, 66: 0.01004055810181189, 67: 0.01004247166269019, 68: 0.005681921873576646, 69: 0.010137313407815705, 70: 0.00980554770646023, 71: 0.011797466492998971, 72: 0.00977241417207912, 73: 0.009846902898165257, 74: 0.009697635189684575, 75: 0.01652397639929785, 76: 0.009516685320069032, 77: 0.010062778040804559, 78: 0.011907276910241307, 79: 0.006338592266733573, 80: 0.008887411829250869, 81: 0.010917492351658488, 82: 0.008374410525815012, 83: 0.012823828395563243, 84: 0.010237893730343284, 85: 0.01002334068148579, 86: 0.009669559255045744, 87: 0.009505628869903613, 88: 0.013677102633901443, 89: 0.011813763840020614, 90: 0.008027457187049489, 91: 0.01666990430868677, 92: 0.010179993967342007, 93: 0.009847305841012795, 94: 0.007651135449535157, 95: 0.009709866733261218, 96: 0.018114587269892193, 97: 0.009529546581780464, 98: 0.009486870397406793, 99: 0.01191657013277887}, Total Difference = 0.000089\n",
            "Iteration 19: PageRank = {0: 0.00946706169293305, 1: 0.009477754111183876, 2: 0.0116933083946222, 3: 0.009537593998688232, 4: 0.011853480609030353, 5: 0.011887139117097269, 6: 0.0076972514144585565, 7: 0.010073474519009112, 8: 0.00789699289393304, 9: 0.010196547214941114, 10: 0.012293879540511794, 11: 0.00755033103450193, 12: 0.0055322997710585756, 13: 0.007920522177032823, 14: 0.00820408602863484, 15: 0.008043962414320345, 16: 0.010107495062832022, 17: 0.010176437804713764, 18: 0.008091863950901355, 19: 0.008081275982171187, 20: 0.010064360187845716, 21: 0.010121562839576501, 22: 0.010147619640941437, 23: 0.007705158580178988, 24: 0.00606409937731353, 25: 0.008332870089432039, 26: 0.012958759995118191, 27: 0.012073570538199335, 28: 0.010069798273994459, 29: 0.009953448362755812, 30: 0.007716208003857599, 31: 0.011976890604954526, 32: 0.0077846243694613265, 33: 0.010506990839393904, 34: 0.010411448292362185, 35: 0.008256730928454392, 36: 0.00828971005890356, 37: 0.010585056020872457, 38: 0.008215786214478204, 39: 0.010182481097094595, 40: 0.009737610078589745, 41: 0.014370707517991941, 42: 0.005731620865443323, 43: 0.010161701101493654, 44: 0.01462809067311061, 45: 0.009965057837815889, 46: 0.011796788364730883, 47: 0.00786322463782083, 48: 0.009956655904973013, 49: 0.01002277280602662, 50: 0.009858697640640145, 51: 0.009807386505826132, 52: 0.007524204604907856, 53: 0.01376966692146148, 54: 0.011702739038808118, 55: 0.011999581834463442, 56: 0.014312647357779476, 57: 0.009948130641834026, 58: 0.009867535302713342, 59: 0.007683780846772465, 60: 0.007729884287346325, 61: 0.010096252322808726, 62: 0.005726673885649917, 63: 0.007783158600382235, 64: 0.010365528103370821, 65: 0.012151780733975905, 66: 0.010040577289529907, 67: 0.01004201808548902, 68: 0.005681703556940034, 69: 0.010138090216024364, 70: 0.00980567385591469, 71: 0.011796988069224136, 72: 0.009772775090374268, 73: 0.009846339557456047, 74: 0.009697883356427767, 75: 0.01652628045950059, 76: 0.009516142298461209, 77: 0.010062759590125774, 78: 0.011908080484880061, 79: 0.006338067143015175, 80: 0.008886618487070118, 81: 0.01091625522495009, 82: 0.008373703263231445, 83: 0.012822494136776177, 84: 0.010237541712739624, 85: 0.010022836635736073, 86: 0.009669230820207089, 87: 0.009506280038113255, 88: 0.013678131253201761, 89: 0.011812018483893917, 90: 0.008026889583690733, 91: 0.016671449842714813, 92: 0.010180163768564942, 93: 0.009848067195763366, 94: 0.00765127029630423, 95: 0.00971007774797124, 96: 0.018116574755782766, 97: 0.009529798460265405, 98: 0.009487256847739524, 99: 0.0119181519274193}, Total Difference = 0.000061\n",
            "Iteration 20: PageRank = {0: 0.009467725595761953, 1: 0.009478422240338555, 2: 0.011693348778384599, 3: 0.009537790529154044, 4: 0.01185324186514022, 5: 0.011887722002353045, 6: 0.007697277216911497, 7: 0.010073111713783906, 8: 0.007897339140351428, 9: 0.01019624277766172, 10: 0.012293110035061778, 11: 0.007550695821404449, 12: 0.005532848454886353, 13: 0.007921213190558614, 14: 0.008203094637468681, 15: 0.008044646587655678, 16: 0.010106028033521128, 17: 0.010177360587111427, 18: 0.008090864435034059, 19: 0.00808186330240045, 20: 0.010065397293809408, 21: 0.010120590806947962, 22: 0.010148569351820845, 23: 0.007704341227820806, 24: 0.006063969057842504, 25: 0.008332738426022229, 26: 0.012958367312850529, 27: 0.012073379650013915, 28: 0.010070158635457925, 29: 0.009952916488885036, 30: 0.007715832447924877, 31: 0.011977303195062133, 32: 0.0077847342781529084, 33: 0.010506807834305147, 34: 0.010410746053403875, 35: 0.00825634533985231, 36: 0.00828956326066452, 37: 0.010584671066255224, 38: 0.008215517615658703, 39: 0.0101822228719534, 40: 0.00973772517987861, 41: 0.014370833887853344, 42: 0.005731674329424738, 43: 0.01016167673542215, 44: 0.014627304633572286, 45: 0.009965041998811555, 46: 0.011797447504681853, 47: 0.007863203391623299, 48: 0.009957229774988013, 49: 0.010022745908313417, 50: 0.009858853342397784, 51: 0.009807373255180957, 52: 0.007524238082959142, 53: 0.013770152997099593, 54: 0.011702621730969032, 55: 0.012000455639149568, 56: 0.014312416108105545, 57: 0.009947780246770652, 58: 0.009867808087998885, 59: 0.007684317447788504, 60: 0.007730167297509213, 61: 0.010096292646929612, 62: 0.0057270650600102415, 63: 0.007783569150277363, 64: 0.010365034501494029, 65: 0.012151761738306175, 66: 0.010040742702810346, 67: 0.01004255794160945, 68: 0.00568196921325727, 69: 0.010137846521015906, 70: 0.009805788991078134, 71: 0.011797599759350887, 72: 0.009772703295297707, 73: 0.009846952269136806, 74: 0.009698004728312021, 75: 0.01652516888020649, 76: 0.009516822590697502, 77: 0.010062798995155496, 78: 0.011907719597282485, 79: 0.006337579473305094, 80: 0.00888593202899892, 81: 0.010915768115080542, 82: 0.00837317685521232, 83: 0.012822074933715094, 84: 0.010236937595555448, 85: 0.010022587711202487, 86: 0.009669368785768757, 87: 0.009505977924194326, 88: 0.013677854699730206, 89: 0.011813181072249108, 90: 0.008027082235259404, 91: 0.0166698786582927, 92: 0.010180313197028477, 93: 0.009847919724074953, 94: 0.007651562390065857, 95: 0.009710542436994232, 96: 0.018116341651802807, 97: 0.009530405497051739, 98: 0.009487804678017873, 99: 0.011918125014025789}, Total Difference = 0.000042\n",
            "Iteration 21: PageRank = {0: 0.009467805121250342, 1: 0.009478427114616779, 2: 0.011693822644833311, 3: 0.009537997875871179, 4: 0.011853636114773018, 5: 0.011887462606520523, 6: 0.0076973171136916554, 7: 0.010073430937549855, 8: 0.007897066535392697, 9: 0.010196262652670327, 10: 0.012293554642538135, 11: 0.007550558140577108, 12: 0.005532708902123744, 13: 0.007920666502982655, 14: 0.008203413009225615, 15: 0.008043942594162107, 16: 0.010106817427474563, 17: 0.010176425634761992, 18: 0.008091447318709137, 19: 0.0080813819228733, 20: 0.010064659540030189, 21: 0.010121197315322447, 22: 0.010147754775068692, 23: 0.007704889228199705, 24: 0.006063864997224222, 25: 0.00833258383327002, 26: 0.01295824264526317, 27: 0.012073348966802271, 28: 0.010069869219496758, 29: 0.009953291964600413, 30: 0.0077161277118507985, 31: 0.011977109698013763, 32: 0.007784601278309486, 33: 0.01050649869636237, 34: 0.01041079697032575, 35: 0.008256279233025911, 36: 0.008289256129030857, 37: 0.010584426461893044, 38: 0.008215354393996302, 39: 0.010182107327519296, 40: 0.009737623143858346, 41: 0.014370662690817363, 42: 0.005731557796033281, 43: 0.010161602638621599, 44: 0.014627571818625729, 45: 0.009965031499455797, 46: 0.011797145862334008, 47: 0.007863316257449009, 48: 0.009957051724248489, 49: 0.010022892106797037, 50: 0.00985875132794692, 51: 0.009807478972203664, 52: 0.007524284185579798, 53: 0.013769923352020973, 54: 0.011702783412566944, 55: 0.01199999048681306, 56: 0.014312743494909639, 57: 0.009948253516820606, 58: 0.009867851195208555, 59: 0.007684226790415355, 60: 0.007730240698497687, 61: 0.01009655339438162, 62: 0.005726769382931596, 63: 0.007783420444153369, 64: 0.010365482424621708, 65: 0.012151965596414757, 66: 0.01004075767614208, 67: 0.010042389751680923, 68: 0.0056818846676975, 69: 0.010138202597920103, 70: 0.009805850395780498, 71: 0.011797406303823138, 72: 0.009772901656674536, 73: 0.00984672293632391, 74: 0.009698129257704913, 75: 0.016526240745252187, 76: 0.009516627286547735, 77: 0.010062826178786753, 78: 0.0119080778013873, 79: 0.006337281466004309, 80: 0.008885472109586104, 81: 0.010915104307800037, 82: 0.008372782719336792, 83: 0.012821360108400293, 84: 0.010236693603314778, 85: 0.010022309802802701, 86: 0.009669207173569169, 87: 0.00950626969080964, 88: 0.013678324974045064, 89: 0.01181234358105632, 90: 0.008026813952024153, 91: 0.01667055766364845, 92: 0.010180427772680628, 93: 0.009848284225210693, 94: 0.007651668122733874, 95: 0.009710698087178797, 96: 0.01811728057650603, 97: 0.009530591314828505, 98: 0.009488045410111341, 99: 0.01191888667070035}, Total Difference = 0.000029\n",
            "Iteration 22: PageRank = {0: 0.009468132937945765, 1: 0.00947874783691973, 2: 0.011693872904855039, 3: 0.00953810239409763, 4: 0.011853539379746555, 5: 0.011887735279923806, 6: 0.007697316598536959, 7: 0.010073285165914585, 8: 0.00789721417715327, 9: 0.010196098720155733, 10: 0.012293236444325756, 11: 0.007550709231684374, 12: 0.005532968538799683, 13: 0.007920962446626031, 14: 0.008202937129285732, 15: 0.008044238396924247, 16: 0.010106103814214526, 17: 0.010176851801847943, 18: 0.008090955477790773, 19: 0.008081681732799127, 20: 0.010065163517065153, 21: 0.010120706801305075, 22: 0.010148210894526725, 23: 0.007704494681239892, 24: 0.0060638000024545785, 25: 0.00833251319787142, 26: 0.0129580416550452, 27: 0.012073257242197162, 28: 0.010070046128587229, 29: 0.009953046573054, 30: 0.007715954240563622, 31: 0.011977308857103087, 32: 0.00778464286099171, 33: 0.010506401124224855, 34: 0.010410449803948448, 35: 0.008256085549202785, 36: 0.008289168724312113, 37: 0.010584230465990937, 38: 0.008215221626684666, 39: 0.010181963167386916, 40: 0.009737673045213977, 41: 0.014370765721397115, 42: 0.005731579901679068, 43: 0.010161564479119605, 44: 0.014627194515693876, 45: 0.009965034304553068, 46: 0.011797434282948856, 47: 0.00786330725773153, 48: 0.009957322381609486, 49: 0.010022887036462024, 50: 0.009858812826894638, 51: 0.009807468890667005, 52: 0.007524301603265964, 53: 0.013770144156969772, 54: 0.011702726029677386, 55: 0.012000403847253935, 56: 0.014312662105892719, 57: 0.009948122174589919, 58: 0.00986798604733993, 59: 0.007684482529884238, 60: 0.007730385824909575, 61: 0.01009660750827717, 62: 0.005726947017246568, 63: 0.007783617306134034, 64: 0.010365269077071738, 65: 0.012151966932585, 66: 0.010040857551847002, 67: 0.010042637004791936, 68: 0.005682006713836887, 69: 0.010138111086756923, 70: 0.009805913643821192, 71: 0.011797684936205682, 72: 0.009772868181533606, 73: 0.009847016889318369, 74: 0.009698211329184187, 75: 0.01652576815919608, 76: 0.009516944559532522, 77: 0.010062833653041055, 78: 0.011907938610550204, 79: 0.006337010096456905, 80: 0.008885092725604764, 81: 0.010914808274543733, 82: 0.008372479040181837, 83: 0.012821086678966823, 84: 0.010236367013052498, 85: 0.010022152607293139, 86: 0.009669251053320163, 87: 0.009506126709469341, 88: 0.013678206510651733, 89: 0.01181287766729615, 90: 0.008026902019733096, 91: 0.016669797247038237, 92: 0.010180514582011475, 93: 0.009848252533219713, 94: 0.007651825306473894, 95: 0.009710944748286692, 96: 0.018117276774452514, 97: 0.00953090478844698, 98: 0.00948833103793958, 99: 0.011918935937574069}, Total Difference = 0.000020\n",
            "Iteration 23: PageRank = {0: 0.009468193771117439, 1: 0.009478770184301023, 2: 0.011694105329366428, 3: 0.00953820900131476, 4: 0.011853724157940846, 5: 0.011887617586356767, 6: 0.007697346572541822, 7: 0.010073425747550898, 8: 0.007897094271325322, 9: 0.010196109610821446, 10: 0.012293419131849104, 11: 0.007550669330018883, 12: 0.005532919528718544, 13: 0.00792071613483062, 14: 0.008203058307763605, 15: 0.008043898470208175, 16: 0.0101064659055485, 17: 0.01017639469494547, 18: 0.008091238079562118, 19: 0.008081439731922605, 20: 0.010064810396756309, 21: 0.010121010363954285, 22: 0.010147808393515645, 23: 0.007704752672560444, 24: 0.006063745820754586, 25: 0.008332435813574398, 26: 0.012957978401499058, 27: 0.012073235190145097, 28: 0.01006991089149747, 29: 0.00995322670667988, 30: 0.00771609596206548, 31: 0.011977221879284138, 32: 0.0077845869343594505, 33: 0.010506242606917227, 34: 0.010410460030045327, 35: 0.0082560481185119, 36: 0.008289015684922775, 37: 0.010584099456130055, 38: 0.00821513205964917, 39: 0.010181909100889624, 40: 0.00973762347589757, 41: 0.014370658293965232, 42: 0.005731518341536216, 43: 0.010161535614852356, 44: 0.014627295836023681, 45: 0.009965019225994787, 46: 0.011797320195570973, 47: 0.007863364291057722, 48: 0.009957254634245589, 49: 0.010022952927431132, 50: 0.009858759758121624, 51: 0.009807517097459365, 52: 0.007524320986549278, 53: 0.013770037809281243, 54: 0.011702805393370897, 55: 0.012000193713324645, 56: 0.014312815156672506, 57: 0.00994834610274506, 58: 0.009868021583200399, 59: 0.007684465714894836, 60: 0.0077304345243939905, 61: 0.010096739761075137, 62: 0.00572680934458953, 63: 0.007783555751974109, 64: 0.010365484037815408, 65: 0.012152081496007284, 66: 0.010040866572206706, 67: 0.010042579895560542, 68: 0.005681975737603981, 69: 0.010138276305365932, 70: 0.009805945055774673, 71: 0.011797608439360533, 72: 0.009772976122941722, 73: 0.009846924494236228, 74: 0.009698276715787657, 75: 0.01652627429100139, 76: 0.009516880547861708, 77: 0.010062864014628083, 78: 0.011908100625648694, 79: 0.006336839697261893, 80: 0.008884828444052915, 81: 0.010914446631051681, 82: 0.008372255664619365, 83: 0.01282070009234647, 84: 0.010236210408022873, 85: 0.010021996341136426, 86: 0.009669168344085745, 87: 0.009506257413768175, 88: 0.013678424664800001, 89: 0.01181247473402157, 90: 0.008026773253330014, 91: 0.01667009377741884, 92: 0.010180588834576735, 93: 0.009848429941881683, 94: 0.007651895764973941, 95: 0.009711048758307356, 96: 0.018117732755065407, 97: 0.009531025871246254, 98: 0.00948847528353163, 99: 0.011919311406755926}, Total Difference = 0.000014\n",
            "Iteration 24: PageRank = {0: 0.009468358670404605, 1: 0.00947892708543352, 2: 0.011694144391532282, 3: 0.009538264666686854, 4: 0.011853685082144835, 5: 0.011887746026176368, 6: 0.007697341219346957, 7: 0.010073368123249623, 8: 0.007897157516068471, 9: 0.010196023335963228, 10: 0.012293286984129488, 11: 0.007550733615951788, 12: 0.005533044817341533, 13: 0.007920842984473729, 14: 0.00820282648712656, 15: 0.0080440241022321, 16: 0.010106118427640637, 17: 0.010176589890161911, 18: 0.008090997339364699, 19: 0.008081590761324687, 20: 0.01006505471157872, 21: 0.0101207660086226, 22: 0.010148025256794358, 23: 0.007704562919670931, 24: 0.00606371314210092, 25: 0.008332398284400206, 26: 0.012957875584668588, 27: 0.012073190403917047, 28: 0.010069998046997439, 29: 0.0099531145963407, 30: 0.007716016715186704, 31: 0.011977317830329945, 32: 0.007784602474192126, 33: 0.010506190489125818, 34: 0.010410288163006834, 35: 0.008255950110174385, 36: 0.0082889646410462, 37: 0.010584000315548781, 38: 0.008215066456255337, 39: 0.010181830131601543, 40: 0.009737645818129163, 41: 0.014370725302952771, 42: 0.005731526561592814, 43: 0.010161505382425213, 44: 0.014627111421130448, 45: 0.009965024210639568, 46: 0.011797448549250486, 47: 0.007863360692380195, 48: 0.009957383953721685, 49: 0.010022953657387836, 50: 0.009858782209630665, 51: 0.009807510248183765, 52: 0.00752432965639801, 53: 0.013770138807561377, 54: 0.0117027780299556, 55: 0.01200038972404566, 56: 0.014312790942106433, 57: 0.00994830103138876, 58: 0.009868089862085197, 59: 0.007684589851287492, 60: 0.007730509691650844, 61: 0.010096784049467296, 62: 0.005726891031008062, 63: 0.007783652319206956, 64: 0.010365390369462338, 65: 0.012152087020520206, 66: 0.010040926043272095, 67: 0.010042694379672076, 68: 0.005682032528752198, 69: 0.010138244675331715, 70: 0.009805979564334901, 71: 0.011797736952878338, 72: 0.009772961839793934, 73: 0.009847068464458793, 74: 0.009698327875763954, 75: 0.016526074897212646, 76: 0.00951703189188388, 77: 0.010062863185501748, 78: 0.011908049838433852, 79: 0.006336687968246808, 80: 0.008884615885410273, 81: 0.01091426961915582, 82: 0.008372081786552087, 83: 0.012820527802136675, 84: 0.010236030616284097, 85: 0.010021900419441294, 86: 0.009669178959122234, 87: 0.009506189240106513, 88: 0.013678373507482283, 89: 0.011812719463065873, 90: 0.008026814433898216, 91: 0.01666972122578094, 92: 0.010180638117064445, 93: 0.009848434031512122, 94: 0.007651982093713568, 95: 0.00971118059892467, 96: 0.01811778213566646, 97: 0.009531190903264992, 98: 0.00948862621837649, 99: 0.011919364635622105}, Total Difference = 0.000010\n",
            "Iteration 25: PageRank = {0: 0.009468399186247907, 1: 0.009478947356513858, 2: 0.011694260208492159, 3: 0.009538319840629715, 4: 0.011853772724765411, 5: 0.011887692211866877, 6: 0.0076973603018921696, 7: 0.010073430688498005, 8: 0.007897104472384744, 9: 0.010196028351895833, 10: 0.0122933625452714, 11: 0.007550725890468216, 12: 0.005533029654145864, 13: 0.007920730624744646, 14: 0.00820286873426322, 15: 0.00804385845521964, 16: 0.0101062831897485, 17: 0.010176366081225033, 18: 0.008091133526911879, 19: 0.008081470449904756, 20: 0.01006488654079814, 21: 0.010120916293572917, 22: 0.01014782739550489, 23: 0.0077046839288777615, 24: 0.006063685029973718, 25: 0.008332359303452448, 26: 0.012957843382231483, 27: 0.012073176695823145, 28: 0.01006993523057406, 29: 0.009953201169272646, 30: 0.007716084869230809, 31: 0.011977279684732299, 32: 0.007784579334938069, 33: 0.010506109533930247, 34: 0.010410285771120586, 35: 0.008255929635597847, 36: 0.008288888464298748, 37: 0.01058393022808373, 38: 0.008215017733988745, 39: 0.010181804717263885, 40: 0.00973762150927905, 41: 0.01437066383452051, 42: 0.005731494011758838, 43: 0.010161493302682977, 44: 0.014627146582006168, 45: 0.009965012461305808, 46: 0.011797407133667287, 47: 0.007863389387121682, 48: 0.009957359746155737, 49: 0.010022983433625813, 50: 0.009858753883029862, 51: 0.009807531938792063, 52: 0.007524337857236031, 53: 0.013770088945263107, 54: 0.011702817072269368, 55: 0.012000295847603972, 56: 0.014312863599769207, 57: 0.009948408362325972, 58: 0.009868114463092353, 59: 0.007684594931596473, 60: 0.007730540252765393, 61: 0.010096851930530492, 62: 0.005726825888069861, 63: 0.0077836267109638035, 64: 0.010365495678179877, 65: 0.012152151520267792, 66: 0.01004093122959862, 67: 0.010042678473063966, 68: 0.0056820223769730675, 69: 0.010138322319810485, 70: 0.009805996402805967, 71: 0.011797707800950167, 72: 0.009773020130970143, 73: 0.009847032184156905, 74: 0.009698363382769136, 75: 0.016526317108670037, 76: 0.009517015164138264, 77: 0.01006288615749347, 78: 0.011908124384777622, 79: 0.006336590128270189, 80: 0.008884464520098598, 81: 0.010914070381626818, 82: 0.008371954066523182, 83: 0.012820316650037874, 84: 0.010235933933831078, 85: 0.010021811569863601, 86: 0.009669135330865752, 87: 0.009506247699750647, 88: 0.013678476010525355, 89: 0.011812524888088805, 90: 0.008026751898984717, 91: 0.016669849221088648, 92: 0.010180684525031465, 93: 0.00984852182068613, 94: 0.0076520258290622475, 95: 0.009711246243773543, 96: 0.018118009121621523, 97: 0.009531265288646815, 98: 0.00948871062437511, 99: 0.011919553408834568}, Total Difference = 0.000007\n",
            "Iteration 26: PageRank = {0: 0.009468483424116346, 1: 0.00947902538257045, 2: 0.011694286445333157, 3: 0.00953834958793035, 4: 0.011853757069896302, 5: 0.011887753079699019, 6: 0.007697355740546934, 7: 0.010073408537588587, 8: 0.00789713167877983, 9: 0.010195983614446395, 10: 0.012293307517320625, 11: 0.007550754145092164, 12: 0.0055330911569832384, 13: 0.007920784851552079, 14: 0.008202754069829652, 15: 0.008043910418313677, 16: 0.010106113573759104, 17: 0.010176454713656191, 18: 0.008091016142986272, 19: 0.008081545853476639, 20: 0.010065004870961076, 21: 0.01012079571549448, 22: 0.010147929694832365, 23: 0.007704592846612561, 24: 0.006063668510957546, 25: 0.008332339551008117, 26: 0.012957790906467422, 27: 0.012073154584544077, 28: 0.010069978428177376, 29: 0.009953150481288446, 30: 0.007716049076994155, 31: 0.011977326021380793, 32: 0.007784585098006345, 33: 0.010506081774816094, 34: 0.01041020049121634, 35: 0.008255879820806973, 36: 0.008288859257794396, 37: 0.010583880240016122, 38: 0.008214985275615906, 39: 0.010181762145376808, 40: 0.009737631877795869, 41: 0.014370703407289551, 42: 0.005731496425937673, 43: 0.01016147324536627, 44: 0.014627054830143475, 45: 0.009965015965012255, 46: 0.01179746523590925, 47: 0.007863388073731064, 48: 0.009957422270373793, 49: 0.010022985009546397, 50: 0.009858760838444934, 51: 0.009807527506585147, 52: 0.0075243420398580455, 53: 0.01377013541607606, 54: 0.011702804335812396, 55: 0.012000389182044794, 56: 0.014312859600010459, 57: 0.00994839569031156, 58: 0.009868149738316258, 59: 0.007684656281404285, 60: 0.007730579594088523, 61: 0.010096882855583906, 62: 0.005726863808459702, 63: 0.007783674953268868, 64: 0.010365454129292486, 65: 0.01215215673609814, 66: 0.010040966074052202, 67: 0.010042732177549531, 68: 0.0056820491695937, 69: 0.010138313247497442, 70: 0.009806015167674209, 71: 0.011797767873375326, 72: 0.00977301483679179, 73: 0.009847103905764182, 74: 0.00969839391682524, 75: 0.01652623422968517, 76: 0.009517088910904286, 77: 0.010062884240978686, 78: 0.011908107714978548, 79: 0.006336504903456969, 80: 0.008884344412792098, 81: 0.010913965559229017, 82: 0.008371854738806812, 83: 0.012820210669186967, 84: 0.010235833699092995, 85: 0.010021754090706929, 86: 0.009669135245031699, 87: 0.00950621491643669, 88: 0.013678453836039753, 89: 0.011812636672204837, 90: 0.008026771501835055, 91: 0.016669664629736118, 92: 0.010180712278413506, 93: 0.009848533447152598, 94: 0.007652073757543351, 95: 0.009711317214806506, 96: 0.018118057861241155, 97: 0.009531353383155753, 98: 0.009488791249589292, 99: 0.011919593624866026}, Total Difference = 0.000005\n",
            "Iteration 27: PageRank = {0: 0.009468508712577216, 1: 0.009479039859474693, 2: 0.011694344977791999, 3: 0.009538378314934062, 4: 0.011853799097720233, 5: 0.01188772832555902, 6: 0.007697366987152427, 7: 0.010073436713420692, 8: 0.00789710811025194, 9: 0.010195985584800806, 10: 0.012293338966211254, 11: 0.007550755575067398, 12: 0.005533087929831853, 13: 0.007920732944667535, 14: 0.008202766140223748, 15: 0.008043828888479203, 16: 0.010106187872934182, 17: 0.010176344874835635, 18: 0.008091081486882885, 19: 0.008081486564596658, 20: 0.01006492515426711, 21: 0.01012086956974884, 22: 0.01014783271524314, 23: 0.007704649455374315, 24: 0.006063653993551762, 25: 0.008332319850628912, 26: 0.012957774513393949, 27: 0.012073146688615598, 28: 0.010069949481658284, 29: 0.009953192275909626, 30: 0.007716082000570041, 31: 0.011977309752929932, 32: 0.007784575798696255, 33: 0.010506040549050672, 34: 0.010410195644911965, 35: 0.008255868853671779, 36: 0.008288821316811405, 37: 0.01058384290531138, 38: 0.008214959033033778, 39: 0.010181750135825573, 40: 0.009737619918501465, 41: 0.014370670063824816, 42: 0.005731479165577325, 43: 0.010161467623891626, 44: 0.014627064724464282, 45: 0.009965008209905698, 46: 0.011797451276723402, 47: 0.007863402439548143, 48: 0.009957414639876967, 49: 0.010022998459997125, 50: 0.009858745355835547, 51: 0.00980753708793538, 52: 0.00752434551618156, 53: 0.013770111780791936, 54: 0.01170282364555881, 55: 0.012000347809636032, 56: 0.014312894704077064, 57: 0.00994844784780031, 58: 0.00986816550281917, 59: 0.007684665338759659, 60: 0.007730598121910421, 61: 0.010096918169022516, 62: 0.005726832564656897, 63: 0.007783664349493709, 64: 0.0103655065593992, 65: 0.012152192993629692, 66: 0.010040969136548583, 67: 0.010042730254258081, 68: 0.005682046675094688, 69: 0.010138350246411172, 70: 0.00980602453041689, 71: 0.011797757471395496, 72: 0.00977304615979704, 73: 0.009847090376222901, 74: 0.009698413639964935, 75: 0.016526351564725372, 76: 0.009517087680233217, 77: 0.010062899404707955, 78: 0.011908142701318802, 79: 0.006336448598293928, 80: 0.008884257774633975, 81: 0.010913854876871, 82: 0.008371781391776807, 83: 0.012820094249115649, 84: 0.010235775306934841, 85: 0.010021703253925587, 86: 0.009669111714540424, 87: 0.009506240972423495, 88: 0.01367850253903942, 89: 0.011812542299661373, 90: 0.008026740870573756, 91: 0.016669718793871177, 92: 0.010180740454488722, 93: 0.009848577589868257, 94: 0.007652099915066125, 95: 0.009711357163834679, 96: 0.01811817331175438, 97: 0.009531397612668205, 98: 0.009488839885529418, 99: 0.011919690097597142}, Total Difference = 0.000004\n",
            "Iteration 28: PageRank = {0: 0.009468552298188406, 1: 0.009479079214436893, 2: 0.011694361433637994, 3: 0.009538394278320485, 4: 0.011853792931210694, 5: 0.011887757325753465, 6: 0.007697364042655445, 7: 0.010073428605306113, 8: 0.00789711986262798, 9: 0.010195962615360255, 10: 0.012293316032309431, 11: 0.007550768464338333, 12: 0.005533118578022453, 13: 0.007920755958750247, 14: 0.008202708541741236, 15: 0.008043849498694348, 16: 0.010106104780569947, 17: 0.010176384724748244, 18: 0.008091024407820054, 19: 0.00808152399502222, 20: 0.010064982491583514, 21: 0.010120810499615163, 22: 0.01014788065569637, 23: 0.007704605770569726, 24: 0.0060636456249551635, 25: 0.008332309551601122, 26: 0.012957747832880964, 27: 0.012073135712993913, 28: 0.01006997106831966, 29: 0.009953169641632674, 30: 0.0077160660504886, 31: 0.011977332260038751, 32: 0.007784577958975048, 33: 0.010506025843426737, 34: 0.010410153212442576, 35: 0.0082558434807145, 36: 0.008288804917948698, 37: 0.010583817735506436, 38: 0.00821494294423647, 39: 0.010181727501794982, 40: 0.009737624913338426, 41: 0.014370692259097354, 42: 0.0057314793727094105, 43: 0.01016145531831628, 44: 0.014627018270290231, 45: 0.00996501011429103, 46: 0.011797478023714222, 47: 0.007863402028328206, 48: 0.009957445196565972, 49: 0.010022999654813817, 50: 0.009858746592007283, 51: 0.009807534292728076, 52: 0.007524347486543457, 53: 0.013770133269727784, 54: 0.011702817879643994, 55: 0.01200039251633105, 56: 0.014312896772195093, 57: 0.009948446321998945, 58: 0.009868184043274525, 59: 0.007684696192948754, 60: 0.007730618926490997, 61: 0.01009693813601909, 62: 0.005726850283128117, 63: 0.007783688799401818, 64: 0.010365488052133007, 65: 0.012152196966053713, 66: 0.01004098925531966, 67: 0.010042755838138412, 68: 0.005682059510439957, 69: 0.010138348998795907, 70: 0.00980603473913804, 71: 0.01179778595255259, 72: 0.009773044741862021, 73: 0.009847126612752687, 74: 0.009698431407384734, 75: 0.01652631797957943, 76: 0.009517124333521585, 77: 0.010062898086007285, 78: 0.011908138493315927, 79: 0.006336400530814714, 80: 0.008884189543280102, 81: 0.010913793185359993, 82: 0.00837172464455294, 83: 0.01282003015625142, 84: 0.010235718930818783, 85: 0.010021669165820809, 86: 0.009669108977058985, 87: 0.009506225060116759, 88: 0.013678492941164857, 89: 0.011812593140947599, 90: 0.00802675032770831, 91: 0.01666962637577906, 92: 0.010180756071362256, 93: 0.009848588071910556, 94: 0.007652126658267627, 95: 0.009711395620848304, 96: 0.018118209282960804, 97: 0.009531445103955288, 98: 0.00948888332508007, 99: 0.011919716910106563}, Total Difference = 0.000003\n",
            "Iteration 29: PageRank = {0: 0.009468567525014446, 1: 0.009479088602578033, 2: 0.01169439138962653, 3: 0.009538409320470205, 4: 0.01185381328542053, 5: 0.011887745890221063, 6: 0.00769737039404443, 7: 0.010073441467479472, 8: 0.007897109359884209, 9: 0.010195963216883392, 10: 0.012293329200748496, 11: 0.007550771531845981, 12: 0.005533119057952761, 13: 0.007920731662220598, 14: 0.008202710006172044, 15: 0.008043808940988915, 16: 0.010106137918602305, 17: 0.010176330656123061, 18: 0.00809105566539346, 19: 0.008081494989993786, 20: 0.010064944878798825, 21: 0.010120846620758728, 22: 0.010147833187798145, 23: 0.007704632201072849, 24: 0.006063638171210082, 25: 0.008332299593404674, 26: 0.012957739520986822, 27: 0.012073131384712079, 28: 0.010069957878970942, 29: 0.00995318995896256, 30: 0.007716082064000793, 31: 0.011977325573836625, 32: 0.00778457441165286, 33: 0.01050600490101787, 34: 0.010410149028253369, 35: 0.00825583768670732, 36: 0.008288785993972831, 37: 0.010583797965480856, 38: 0.00821492895247333, 39: 0.01018172180045199, 40: 0.00973761904740559, 41: 0.014370674798402448, 42: 0.005731470176766659, 43: 0.010161452374351584, 44: 0.014627019290895625, 45: 0.009965005348824402, 46: 0.011797473997999476, 47: 0.007863409180205049, 48: 0.009957443483189901, 49: 0.010023005700302859, 50: 0.009858737959895392, 51: 0.009807538411848234, 52: 0.007524348956622298, 53: 0.01377012196325115, 54: 0.011702827509444964, 55: 0.012000374608325084, 56: 0.014312914074387305, 57: 0.009948472040578674, 58: 0.009868193732864784, 59: 0.007684703933643417, 60: 0.007730629906818352, 61: 0.010096956766568205, 62: 0.00572683512813715, 63: 0.007783684493613213, 64: 0.01036551448545867, 65: 0.012152217291902231, 66: 0.010040991154188356, 67: 0.010042757801051882, 68: 0.005682059538305102, 69: 0.010138366901542168, 70: 0.009806040075908167, 71: 0.0117977827117553, 72: 0.009773061531384828, 73: 0.009847122076027844, 74: 0.009698442516963607, 75: 0.016526375467856416, 76: 0.009517127137482194, 77: 0.010062907441389041, 78: 0.01190815528200001, 79: 0.006336368089151694, 80: 0.008884139926775251, 81: 0.010913731306480576, 82: 0.008371682436624428, 83: 0.012819965425208262, 84: 0.010235684131214697, 85: 0.01002163997178773, 86: 0.009669096082278745, 87: 0.00950623660351842, 88: 0.013678516307378229, 89: 0.01181254714319792, 90: 0.008026735235092473, 91: 0.016669648561628753, 92: 0.0101807727985449, 93: 0.009848610602896431, 94: 0.00765214197090933, 95: 0.009711419339361906, 96: 0.0181182690849122, 97: 0.009531470887042481, 98: 0.009488911058988237, 99: 0.011919766883262432}, Total Difference = 0.000002\n",
            "Iteration 30: PageRank = {0: 0.00946859031663804, 1: 0.009479108697202957, 2: 0.011694401326105766, 3: 0.009538417924143413, 4: 0.011853810932604082, 5: 0.01188775977366164, 6: 0.007697368709617316, 7: 0.010073438764340886, 8: 0.007897114459554353, 9: 0.010195951503672048, 10: 0.012293319653533688, 11: 0.007550777650839512, 12: 0.005533134534108607, 13: 0.00792074129649665, 14: 0.0082026806265281, 15: 0.008043816542328617, 16: 0.010106097031123761, 17: 0.010176348359123231, 18: 0.008091027965002474, 19: 0.008081513510067882, 20: 0.010064972709006248, 21: 0.010120817849423775, 22: 0.010147855521839246, 23: 0.0077046112501660165, 24: 0.0060636339366990834, 25: 0.008332294276733099, 26: 0.012957726028778765, 27: 0.012073125939005662, 28: 0.010069968775937573, 29: 0.009953180014873473, 30: 0.007716075080248816, 31: 0.011977336601404437, 32: 0.007784575266611167, 33: 0.01050599716403724, 34: 0.010410127854439137, 35: 0.008255824759073847, 36: 0.008288776939369299, 37: 0.010583785300255055, 38: 0.008214920966122776, 39: 0.010181709914879492, 40: 0.009737621544339502, 41: 0.014370686873478547, 42: 0.005731469695759925, 43: 0.010161445124401577, 44: 0.01462699536491239, 45: 0.009965006209811266, 46: 0.011797486510350057, 47: 0.007863409088117397, 48: 0.009957458562775273, 49: 0.010023006403564804, 50: 0.00985873737635849, 51: 0.009807536676962358, 52: 0.00752434986725064, 53: 0.013770131942858862, 54: 0.011702824995191416, 55: 0.01200039618753768, 56: 0.014312917188292699, 57: 0.009948473665571524, 58: 0.009868203623645263, 59: 0.007684719711790633, 60: 0.00773064101736602, 61: 0.010096969080778338, 62: 0.005726843439214887, 63: 0.007783697026304838, 64: 0.010365506264069641, 65: 0.012152220082837372, 66: 0.010041002631802042, 67: 0.010042770207305093, 68: 0.005682065793782579, 69: 0.01013836791363208, 70: 0.009806045650569075, 71: 0.011797796417417353, 72: 0.009773061588581515, 73: 0.009847140602388005, 74: 0.009698452697244155, 75: 0.016526362423574012, 76: 0.009517145687020683, 77: 0.010062906798316144, 78: 0.011908155173195739, 79: 0.00633634088188011, 80: 0.008884101030893512, 81: 0.010913695150482782, 82: 0.008371649979421514, 83: 0.012819927133307471, 84: 0.010235652224151452, 85: 0.010021619882856509, 86: 0.00966909331389493, 87: 0.009506228803038197, 88: 0.013678512184762633, 89: 0.011812570130854797, 90: 0.008026739841979451, 91: 0.016669601840262904, 92: 0.010180781607711745, 93: 0.00984861814914296, 94: 0.007652156919577118, 95: 0.009711440298641584, 96: 0.01811829280983378, 97: 0.00953149667007594, 98: 0.009488934622988632, 99: 0.011919783690274853}, Total Difference = 0.000001\n",
            "Iteration 31: PageRank = {0: 0.009468599286344496, 1: 0.009479114487839887, 2: 0.011694416829480398, 3: 0.009538425843658781, 4: 0.011853820877959787, 5: 0.011887754476983387, 6: 0.007697372206021043, 7: 0.010073444728506784, 8: 0.007897109773053475, 9: 0.010195951572100284, 10: 0.012293325199908799, 11: 0.007550780259221694, 12: 0.0055331358073521415, 13: 0.007920729765289104, 14: 0.008202679000329428, 15: 0.008043796139992683, 16: 0.010106111600609617, 17: 0.010176321649345694, 18: 0.008091042888163414, 19: 0.0080814994110621, 20: 0.010064955049585949, 21: 0.010120835467316694, 22: 0.0101478322941937, 23: 0.007704623572517561, 24: 0.006063630136633435, 25: 0.008332289257620463, 26: 0.012957721849757305, 27: 0.012073123655893126, 28: 0.010069962864872523, 29: 0.009953189982431497, 30: 0.007716082939006894, 31: 0.011977334004568343, 32: 0.007784574045142654, 33: 0.010505986552649938, 34: 0.010410124917689877, 35: 0.008255821728889624, 36: 0.008288767485773969, 37: 0.010583774902162031, 38: 0.008214913581292251, 39: 0.010181707201953924, 40: 0.00973761869346349, 41: 0.014370677961886121, 42: 0.005731464765631257, 43: 0.010161443424054912, 44: 0.01462699381474449, 45: 0.009965003380690694, 46: 0.01179748580511926, 47: 0.007863412624932162, 48: 0.009957458705755744, 49: 0.010023009089220354, 50: 0.009858732488261725, 51: 0.009807538374193054, 52: 0.007524350484942047, 53: 0.013770126494906543, 54: 0.011702829850813189, 55: 0.01200038863174216, 56: 0.014312925906401677, 57: 0.009948486542632369, 58: 0.009868209432767873, 59: 0.007684725194644185, 60: 0.0077306474251279955, 61: 0.010096979045648817, 62: 0.005726836018861008, 63: 0.007783695353739846, 64: 0.010365519723051416, 65: 0.012152231446271235, 66: 0.010041003858891666, 67: 0.010042772632261138, 68: 0.005682066449988282, 69: 0.010138376723116807, 70: 0.009806048738353484, 71: 0.011797795741024332, 72: 0.00977307058399389, 73: 0.00984713944685817, 74: 0.009698459004078333, 75: 0.016526390890920842, 76: 0.009517148768657915, 77: 0.010062912353047722, 78: 0.011908163425206944, 79: 0.006336322178230753, 80: 0.008884072588446068, 81: 0.010913660383960688, 82: 0.008371625669047615, 83: 0.012819890880569175, 84: 0.01023563166114138, 85: 0.010021603079466554, 86: 0.00966908616669126, 87: 0.009506233868583645, 88: 0.013678523490706961, 89: 0.011812547591227369, 90: 0.008026732377789211, 91: 0.016669610438357914, 92: 0.010180791368799303, 93: 0.009848629806449337, 94: 0.007652165766144922, 95: 0.009711454137342371, 96: 0.01811832425844769, 97: 0.009531511509237985, 98: 0.009488950323068285, 99: 0.01191980986721359}, Total Difference = 0.000001\n",
            "\n",
            "Top 10 Nodes by PageRank:\n",
            "Node 96: 0.02\n",
            "Node 91: 0.02\n",
            "Node 75: 0.02\n",
            "Node 44: 0.01\n",
            "Node 41: 0.01\n",
            "Node 56: 0.01\n",
            "Node 53: 0.01\n",
            "Node 88: 0.01\n",
            "Node 26: 0.01\n",
            "Node 83: 0.01\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "dhsCIWKHJgpZ"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}