{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "e65f8b7e", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/teddy/miniconda3/envs/gsnn-mds/lib/python3.12/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n", " from .autonotebook import tqdm as notebook_tqdm\n" ] } ], "source": [ "import networkx as nx \n", "from matplotlib import pyplot as plt\n", "import numpy as np\n", "import networkx as nx\n", "import torch\n", "\n", "from gsnn.models.GSNN import GSNN\n", "from gsnn.simulate.nx2pyg import nx2pyg\n", "from gsnn.simulate.datasets import simulate_3_in_3_out\n", "from gsnn.interpret.GSNNExplainer import GSNNExplainer\n", "from gsnn.interpret.IGExplainer import IGExplainer\n", "from gsnn.interpret.ContrastiveIGExplainer import ContrastiveIGExplainer\n", "from gsnn.interpret.NoiseTunnel import NoiseTunnel\n", "from gsnn.interpret.ContrastiveOcclusionExplainer import ContrastiveOcclusionExplainer\n", "from gsnn.interpret.OcclusionExplainer import OcclusionExplainer\n", "from gsnn.interpret.utils import plot_edge_importance, plot_node_importance\n", "from gsnn.interpret.CounterfactualExplainer import CounterfactualExplainer\n", "\n", "# for reproducibility \n", "torch.manual_seed(0)\n", "np.random.seed(0)\n", "\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "markdown", "id": "1beeac4b", "metadata": {}, "source": [ "# GSNN Interpretation methods \n" ] }, { "cell_type": "code", "execution_count": 2, "id": "703a11af", "metadata": {}, "outputs": [ { "data": { "image/png": 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k+Dd06NDPqicr/bh79244OTlpP7O+VPpnwrsn3DRp0gTVq1d/7/CJYsWKoUmTJhmmfagXP6ZPnz6oUaMGxo8fn+mIaUJCAo4dOwa5XI4CBQpopxsZGaFHjx548OABrl69qt2GD70H37Z3716kpqaiZ8+eGUZszc3N0apVK+3ouJ2dHSpWrIgFCxZg0aJFOHPmzGeP6lLOYwDUAwkJCXj27NkHd5VmhZ2dXYaf04+n+9D05OTkHFvewcEBnTp1wqpVq5CWlobz58/j0KFDGD58+EdrLlKkCCwsLDL9QPzrr79w4sQJBAcHZ7ps+qU73qbRaODu7o6AgAD88MMPCA8Px/Hjx7XHz2QWPIoVK5bhZ2NjYxQuXPi93ZOZnVlqZmb2xWGmWLFiaNSoEdzd3TF37lzMnDkTy5Yte+84m6yytLTMEOrS63z39U5fd2bTXr9+naOX5li6dCnGjRuHwMBAODk5wc7ODh06dMD169c/+zGNjY3RqFEjtGjRAv3790dERARu3bqFuXPnfnS59NBw+/btD86TfrxZ6dKlP7u+D/nQcw7gi3eJv23ChAlYuHAhjh49Cg8PDxQuXBguLi45etkgHx8fWFlZZen4NACwsbFBo0aNMvz73M+8rPRjTExMjp7Ekf76ZHa4SokSJXLtM8PIyAizZ8/GxYsX3ztxDABevHgBURQ/WNfbtT979uyj78F0UVFRAIDGjRtn+EPcxMQE27Zt0+7uFgQB4eHhaN26NebPn48GDRrA3t4e3377LV6+fJmt7aScxwCoB3bt2oW0tLQMJ32Ym5tnOHA/3bvHmeQVI0eOxP379xEUFIRly5bB1tb2vdG1dxkZGcHZ2RknT558b+SmRo0aaNSoEWrXrp3pspmNzvz33384d+6cdhTN0dERjRs3/uhlQdIP9E+XmpqKZ8+effJSIrklfcTg2rVrub6ud7c9fZqpqal2JCEn3odWVlaYMWMGrly5gidPnmDlypU4evToeyOVX6JUqVIoUaLEJ583Nzc3APjo9QoDAwNhbGys7cf0QP3u8/A5vfih5xz4/8CQE+szNjbG6NGjcfr0aTx//hxbtmzB/fv30bp1ayQmJma77g8RRTHDnofPlZPPcTp7e/scHVVNf30yG2V+9OgRihQpkmPrelf79u3RokULTJs27b0/5goVKgSZTPbBugBoaytcuPBH34Pp0udXqVTvjdqeOHECx44d085btmxZ7UlTV69exahRo7BixQqMHTv2yzaavhgDYB537949jBkzBjY2Nhg0aJB2erly5XDt2rUMH4jPnj3DP//8I0WZn9SwYUM0b94c8+bNw+bNm9G7d29YWVl9crkJEyYgLS0NgwcP/qIL8AL/HwrfvXzK22dXv2vz5s0Zft6+fTtSU1MzPQNbF9J3M1WqVCnX1xUQEJDhy+Tly5cICQnBN998oz0LuVy5coiOjtaOCABvTsDZu3fve4+XldENBwcH9O7dG126dMHVq1dzLIyk70L91PPm4+ODGjVqYO7cuZmGxW3btmHfvn3o37+/dlQk/aSe8+fPZ5g3s9Hp9Pfeh56H8PDwDM9lWloatm3bhooVK2pHqz60vpCQkEzX96nn3NbWFnK5HMOGDcPz589z7GK/KpUKiYmJOXJpl+xsc1Z5eHggMjJSu/szM596vd7m7OwMAO+dxHHixAlcvnxZeyWC3DJv3jzcv38fS5cuzTDdysoKTZs2RUBAQIbt0Gg02LRpE0qVKqU9493JyemD78G3tW7dGsbGxrh58+Z7o7bp/zJTpUoVTJ48GbVr18bp06dzatPpM/E6gHnIf//9pz2WIjo6GocOHcLatWthZGSEHTt2aC9lAQA9evTAqlWr0L17dwwYMADPnj3D/Pnz39vtmZeMHDkSnTp1giAIWT62p0WLFli+fDlGjBiBBg0aYODAgahZs6b2L9r0619lZburVauGihUrYvz48RBFEXZ2dggJCdGe+ZmZgIAAGBsbw83NDRcvXsSUKVNQt25ddOzYMWsb/Y70APKp4wCnTZuGqKgotGzZEiVLlkRsbCz27NmD33//HQqFAg0bNvys9WeHkZER3NzcMHr0aGg0GsybNw/x8fHaM6qBN2d5T506FZ07d8bYsWORnJyMpUuXZnqMYO3atXHgwAGEhISgePHisLa2RtWqVdG0aVN4e3ujTp06KFSoEC5fvoyNGzeiWbNm2uNL79y5g/Lly6NXr14fvbPF+fPnMWrUKMjlclSoUAEymQwXLlzA4sWLUbhwYYwZM+aT2+zv7w83Nzc0a9YM33//PZo1a4aUlBSEhIRg9erVaNWqVYZjTosVKwZXV1fMmTMHhQoVQtmyZREeHo6AgIBMnwPgzZe1h4cHjIyMUKdOHe2hE0WKFIGzszOmTJkCKysrrFixAleuXMlwKRhPT0/Y2dmhX79+mDlzJoyNjbFu3Trcv38/0/Vt3boV27ZtQ4UKFWBubo7atWujbdu22uuO2tvb4+7du1iyZAnKli2LypUra5cXBCHDMV2ZuXv3Lrp27YrOnTujUqVKEAQBBw8exJIlS1CzZs2PnjWbVdnZ5qyaOXMmdu/ejZYtW2LixImoXbu2ts9Gjx6t/bywsLDA5s2bUb16dRQoUAAlSpTIdNd01apVMXDgQPz666/aM+bv3LmDKVOmoHTp0hg1atSXPAWf1KJFC7Rv3x5BQUHv/W7OnDlwc3ODk5MTxowZA1NTU6xYsQL//fcftmzZov3jePLkyQgODoazszOmTp0KS0tLLF++HAkJCRker1y5cpg5cyYmTZqEW7duoU2bNihUqBCioqJw/Phx7aj++fPnMXz4cCgUClSuXBmmpqaIiIjA+fPnMX78+Fx9PigLJD0FhURR/P8z2dL/mZqaikWLFhVbtWolzp49W4yOjs50ufXr14vVq1cXzc3NxRo1aojbtm374FnACxYsyLBsZmeKvV3L22ePvn3G2dsAiMOGDcsw7UPrE0VRTElJEc3MzMQ2bdp88jl519mzZ8U+ffqI5cuXF83MzERzc3OxUqVKYs+ePcXw8PAM8/bq1Uu0srLK9HEuXbokurm5idbW1mKhQoVEhUIh3rt3TwQgTps2TTtf+hl+p06dEtu2bSsWKFBAtLa2Frt06ZLhbGZR/PDzk9mZ2mXLls30rNl3BQcHi66urqKDg4NobGwsFihQQGzSpIm4dOlSUa1Wf3L5D50FnNnz8u7ZjOmv4bx588QZM2aIpUqVEk1NTcX69euLe/fufW/50NBQsV69eqKFhYVYoUIFcdmyZZmetXn27FmxRYsWoqWlpQhA+9yMHz9ebNSokVioUCHRzMxMrFChgjhq1Cjx6dOn2mUvXLggAhDHjx//0e1+8uSJ2L17d7FixYqipaWlaGpqKlaoUEEcPHiweO/evU8+b+mePn0qjh8/XqxWrZpobm6uff6XLVsmvn79+r35Hz9+LMrlctHOzk60sbERu3fvLp48efK9M0hTUlLE/v37i/b29qIgCBnOrEzvpxUrVogVK1YUTUxMxGrVqombN29+b33Hjx8XmzdvLlpZWYklS5YUp02bJq5Zs+a9M2Lv3Lkjuru7i9bW1iIA7Xvv559/Fps3by4WKVJENDU1FcuUKSP269dPvHPnjnbZly9ffvAs/Lc9f/5c9PHxEcuVKydaWFiIpqamYuXKlcUffvhBjI2NzdLz/aEe+pxtzk4/3r9/X+zbt69YrFgx0cTERCxRooTYsWPHDD2+ZcsWsVq1aqKJiUmGz4nM3uNpaWnivHnzxCpVqogmJiZikSJFxO7du4v3799/r5aaNWu+V+OHzqp/14e28dKlS6KRkVGmn+2HDh0SnZ2dRSsrK9HCwkL86quvtGcOv+3IkSPiV199JZqZmYnFihUTx44dK65evfq951kU31z1wcnJSSxYsKBoZmYmli1bVpTL5WJYWJgoiqIYFRUl9u7dW6xWrZpoZWUlFihQQKxTp464ePFiMTU19ZPbSblLEMUvPL2UKItCQkLQrl077Nq1C56enlKX81HTp0/HjBkzEBMTk6vH7uRF6aNtCxYs+OSIma6sWLECP/zwA27evJlv74YjCAKGDRuGZcuWSV0KgDe3rfP29sa5c+c+eKwtEekv7gKmXHfp0iXcvXsX33//PerVqwcPDw+pSyI9ExkZiW+//Tbfhr+8KDIyEp07d2b4I8qnGAAp1w0dOhRHjhxBgwYNtLcCI8oOpVIpdQkGZ8GCBVKXQES5iLuAiYiIiAwMLwNDREREZGAYAImIiIgMDAMgERERkYHJ0kkgGo0Gjx49grW1NQ/gJyIiIsqDRFHEy5cvUaJEiU/ehjFLAfDRo0e5cuNzIiIiIspZ9+/f194+8kOyFACtra21D5iXbzVGREREZKji4+NRunRpbW77mCwFwPTdvgULFmQAJCIiIsrDsnK4Hk8CISIiIjIwDIBEREREBoYBkIiIiMjAMAASERERGRgGQCIiIiIDwwBIREREZGAYAImIiIgMDAMgERERkYFhACQiIiIyMAyARERERAaGAZCIiIjIwDAAEhERERkYBkAiIiIiA8MASERERGRgGACJiIiIDAwDIBEREZGBYQAkIiIiMjAMgEREREQGhgGQiIiIyMAwABIREREZGAZAIiIiIgNjLHUBuqQRRcSlpCI2WY3YZDWS09KQphFhJBNgbmQEW3MT2JqbwMbMGDJBkLpcIspB7H8iw8X+f59BBMBEdSpuxSbidmwi1BoRACAAEN+aRwAgxr35v4lMQHlbS1SwtYSliUE8RUT5FvufyHCx/z9MEEVR/NRM8fHxsLGxQVxcHAoWLKiLunKEOk2DCzHxuBOX9N4L/inp85ezsUBt+4IwMeLeciJ9wv4nMlyG2v/ZyWv5Nt5GJaTg5ONYpKRpAGTvxX97/jtxSXjyKgUNi9vCwcosR2skotzB/icyXOz/rNGfWJsNN18k4MiD59oX/0slp2lw5MFz3HyRkCOPR0S5h/1PZLjY/1mX7wLgzRcJOBcdnyuPfS46Pl++CYjyC/Y/keFi/2dPvgqAUQkpufbipzsXHY+ohJRcXQcRZR/7n8hwsf+zL98EQHWaBicfx+pkXacex0KdQ8PLRPTl2P9Ehov9/3nyTQC8EBOP1zp6UZL/d3YREeUN7H8iw8X+/zz5IgAmqFNxJy4pw5k+U3v44c/ZU3NtnXfikpCoTs21xyeirGH/ExmuzPofyN3PgPzS//niOoD/xcTj+vOEDG+Al7EvYGxsAosCBbL0GK/iYvHHT1NwMmIfAKCRszv6T54Fq4I2mc4vAKhiZ4Wa9nnv+SAyJDnR/6rffsHpA2G4feUijE1MsfHElY/Oz/4nyhsy638ge58B0Q/uQ7lyMf47egSxT2NQqKgDWrb1hd/gkTAxNX1v/rzc/9nJa3o/AqgRRdyOTXzvxbe2LZTlD38AWDJmGO5cvojJv2/G5N83487li/jlhxEfnF8EcCs2EZpP52ciyiU51f+pr1+jWZu2aN25V5bmZ/8TSe9D/Q9k7zPg4e0bEDUaDJoxD4t3RqLPhOnYt20j/lo8J9P580v/6/2FoONSUrW3d3nb1B5+KFe9JvpOnInBzk3g1rE7nty7jX/27EQBGxv4Df4O7p26AwAe3LyOM4ciMWfbTlSp2wAAMOTHBZjQuS0e3rqBkhUqZbputebNvQULmZvk3gYS0QflRP8DQOdvxwIAIgK2ZXnd7H8iaX2o/4HsfQbU/8YJ9b9x0i5brHRZPLx9E3u3bECvcdMyffz80P96PwIYm6zO0nzBa1ehYq26WLhjH1p36YXfZ4zHg1vXAQBXz56EpXVBbfgDgCr1GsLSuiCunjmZI+snopyXE/2vi/UTUc7LTv9l9zMg8eVLWNvY5tj686J8EQCFLMzXoJUz2nTtjeJly8NnwHBYF7LDxeP/vnmMmBjY2BV5bxkbuyKIfRrzwccUoP9vACJ9lhP9/7nY/0TSymr/A9n7DHhy7w52b/oT7p17fPDx8kP/630ATE5Ly9J9/spWra79vyAIsC1SFHHPnr417f1lRIj42LtL/N/6iUgaOdX/n4P9TyStrPY/kPXPgOdRT/DjgG5o1sYbropuH3y8/ND/eh8A0z6w//9dxsYZ99MLAiBq3lw3yNbeHrGZvBHinz+DbWH7HFk/EeW8nOh/XayfiHJedvovK58Bz6OeYFovOarWa4jBMxfk6PrzIr0PgEayrA4Af1jVeo2Q+DIe18+f0U67du40El/Go2r9Rrm+fiL6PFL3n9TrJzJkOdl/z6IeY2pPOcrXqI1hsxdDJvt0PNL3/tf7s4DNjYwgAFkeBs5MqYqVUf8bJ6ycMhaDZ8wDAKyc+gMaOrp+8Axg4M3eYXMjoy9YMxF9iZzofwCIefQAr+Ji8fTxQ2jS0nD78n8AgGJlysPCyirTZdj/RNLKqf5/HvUEU3vKYV+8JHqNm4r458+0vytkXzTTZfJD/+t9ALQ1N4EY9+WPM3LBMvz50xTM7NcFANDY2R39p/z00WXE/62fiKSRU/2/delCHAjcrv15jI87AGDGehVqNW2e6TLsfyJp5VT/nz1yEE/u3saTu7cxsFXDDL/zv/Io02XyQ//r/Z1AXiSrEXn3yw7m/hJOZYvo9XWAiPQZ+5/IcLH/32dQdwKxMTOGiUT74U1kAmzM9H4QlUhvsf+JDBf7/8vofQCUCQLK21pm+VpAOUUAUMHWErLMrh9DRDrB/icyXOz/L6P3ARB480Lo+mRsEUB5W0sdr5WI3sX+JzJc7P/Ply8CoKWJMcrZWOh0neVsLGBpot/Dv0T5AfufyHCx/z9fvgiAAFDbviDMjXSzOeZGMtS2z1snwxAZMvY/keFi/3+efBMATYxkaFjcVifraljcFiY6erMR0aex/4kMF/v/8+SPrfgfBysz1C2au8m8btGCcLAyy9V1EFH2sf+JDBf7P/vyVQAEgIqFrHLtTVC3aEFULJT5XQGISHrsfyLDxf7PHv0/ijETFQtZoYCpMU49jkVy2pff8N38f8PL+Sn5E+VX7H8iw8X+zzq9vxPIx6jTNLgQE487cUnZvl9g+vzlbCxQ275gvtnnT2Qo2P9EhstQ+z87eS1fB8B0iepU3I5NxK3YRKg1bzZXAKARRQj/u5Dj228QE5mACraWKG9rmS9O9SYyZOx/IsNlaP3PAPgBGlFEXEoqYpPViE1WI2hXKMpXrIgqlSvB3MgItuYmsDU3gY2Zsd5f4ZuIMnq3/w8e+QcyExM0btiA/U+Uz73b/2cvXsLDR4/g4uyUr/qfATCLSpYsiYEDB2LatGlSl0JEOtauXTsAQHBwsMSVEJGuzZgxA6tXr8bDhw+lLiVHZSev6c+ObSIiIiLKEQyARERERAaGAZCIiIjIwDAAEhERERkYBkAiIiIiA8MASERERGRgGACJiIiIDAwDIBEREZGBYQAkIiIiMjAMgEREREQGhgGQiIiIyMAwABIREREZGAZAIiIiIgPDAEhERERkYBgAiYiIiAwMAyARERGRgWEAJCIiIjIwDIBEREREBoYBkIiIiMjAMAASERERGRgGQCIiIiIDwwBIREREZGAYAImIiIgMDAMgERERkYFhACQiIiIyMAyARERERAaGAZCIiIjIwDAAEhERERkYBkAiIiIiA8MASERERGRgGACJiIiIDAwDIBEREZGBYQAkIiIiMjAMgEREREQGhgGQiIiIyMAwABIREREZGAZAIiIiIgPDAEhERERkYBgAiYiIiAwMAyARERGRgWEAJCIiIjIwDIBEREREBoYBkIiIiMjAMAASERERGRgGQCIiIiIDwwBIREREZGAYAImIiIgMDAMgERERkYFhACQiIiIyMAyARERERAaGAZCIiIjIwDAAEhERERkYBkAiIiIiA8MASERERGRgGACJiIiIDAwDIBEREZGBYQAkIiIiMjAMgEREREQGhgGQiIiIyMAwABIREREZGAZAIiIiIgPDAEhERERkYBgAiYiIiAwMAyARERGRgWEAJCIiIjIwDIBEREREBoYBkIiIiMjAMAASERERGRgGQCIiIiIDwwBIREREZGAYAImIiIgMDAMgERERkYFhACQiIiIyMAyARERERAaGAZCIiIjIwDAAEhERERkYBkAiIiIiA8MASERERGRgGACJiIiIDAwDIBEREZGBMYgA+OjRI/j7+2dp3hcvXmDjxo25XBER6UpiYiLWrl2L1NTUT86bmpqKtWvXIikpSQeVEZEubNy4ES9evMjSvCqVCo8ePcrlivIGgwiAJ0+ehFwux5kzZz4576RJkzB27FgdVEVEuvDs2TP07dsXGzZs+OS869evR9++ffH06VMdVEZEujB27FhMnjz5k/OdOXMGCoUCJ0+e1EFV0jOIAOjp6YlKlSph5syZH53v/v37WLNmDb777jvdFEZEua506dKQy+WYNWsW1Gr1B+dTq9WYNWsW5HI5SpcurcMKiSg3fffdd1izZg3u37//0flmzJiBSpUqwdPTU0eVScsgAqCxsTGmTJmCwMDAj44CzpkzBwULFsSwYcN0WB0R5bapU6fi9u3bHz28Y8OGDbhz5w6mTp2qw8qIKLcNGzYM1tbWmDt37gfnOXPmDIKCgjBlyhQYGxvrsDrpGEQABICuXbt+dBQwffRvzJgxsLa21nF1RJSbateu/dFRwLdH/2rXri1BhUSUW6ytrTFmzJiPjgKmj/517dpVx9VJx2AC4KdGATn6R5S/fWwUkKN/RPnbx0YBDXH0DzCgAAh8eBSQo39E+d+HRgE5+keU/31sFNAQR/8AAwuAHxoF5OgfkWHIbBSQo39EhiGzUUBDHf0DDCwAAu+PAsbFxXH0j8hAvD0KqNFooNFoOPpHZCDeHgWMi4sDYLijfwAgiKIofmqm+Ph42NjYIC4uDgULFtRFXblqw4YN6NWrF+zt7VG2bFncvn0bt2/fZgAkMgAXLlxAnTp1ULduXQDAuXPncP78eQZAIgPw8uVLlC9fHhUqVMCdO3cQExOD9evXo2fPnlKXliOyk9cMbgQQ+P9RwLi4OJw+fZqjf0QGJH0U8Pr167h27RpH/4gMSPoo4OnTpxEXF2ewo3+AgY4AAv8/CmhhYYGoqCgGQCIDkj4KCICjf0QG5uXLl3BwcEBSUlK+Gv0DOAKYJV27dkXhwoXRo0cPhj8iA1O7dm00bNgQDRs2ZPgjMjDW1tbo0aMHChcubLCjf4CBjQBqRBFxKamITVYjNlmN5LQ0pGlEGMkEmBsZwdbcBLbmJrAxM4ZMEKQul4hyEPufyHAZSv9nJ68ZxDnPiepU3IpNxO3YRKg1b/KuAODt5CsAEN+cFAQTmYDytpaoYGsJSxODeIqI8i32P5HhYv9/WL4eAVSnaXAhJh534pLee8E/JX3+cjYWqG1fECZGBru3nEgvsf+JDJeh9j9HAAFEJaTg5ONYpKRpAGTvxX97/jtxSXjyKgUNi9vCwcosR2skotzB/icyXOz/rNGfWJsNN18k4MiD59oX/0slp2lw5MFz3HyRkCOPR0S5h/1PZLjY/1mX7wLgzRcJOBcdnyuPfS46Pl++CYjyC/Y/keFi/2dPvgqAUQkpufbipzsXHY+ohJRcXQcRZR/7n8hwsf+zL98EQHWaBicfx+pkXacex0KdQ8PLRPTl2P9Ehov9/3nyTQC8EBOP1zp6UZL/d3YREeUN7H8iw8X+/zz5IgAmqFNxJy4p22f6fIk7cUlIVKfqcI1ElBn2P5HhYv9/Pr0NgKIoYuDAgbCzs0MBUxPcufyfTtcvALgdm6jTdRLRG+x/IsPF/s8ZensdwD179mDdunWIiIzELcEaFjaFdLLef/fuwtal8/Hk3l0UL1MWi+fPhZ+vr07WTURvSNH/965fxdalC3Dr4nnEPHqAfhNnYPWsKXp92ygifSRF/+/fvhkHg5S4d/0qAKBSzTr4bfECfNW0aa6vO7fo7QjgzZs3Ubx4cdRs2AQFCtvDyDj3s+zVMyexaPRgtGonx89B+9GynRydO3XCsWPHcn3dRPT/pOj/18lJcChdBt2/nwhb+6LQiEBciv7vBiLSN1L0/8Xj/+Brrw6YsV6J2VuDUbh4CbRu3RoPHz7M9XXnFr28FVzv3r2xfv167c/2JUoBALx7DYB3rwHa6d93cEUTlzboNGIMAMCvWgkM+XEBTh0Mx9nDB2DnUBy9x01FY+fW2mXuXb+KjQtn4fLJYxBFEeWr18TwOUtQrEw5/DxqEJJevcLk3zdr5/9lWE+UsC+CLVu25PZmExGk6/+3DXZuAu9eAzDlhzEob2uZi1tLRG/LC/0PAGlpaej7VQ0sX7YMPXv2zKWtzb7s5DW9HAH85ZdfMHPmTJQqVQr7zl3FfNXuLC+7ffkiNG/TFouCwtGgpTOWjBmOl7EvAADPoh5jSndfmJiaYfo6JRb474Gzb2ekpb75K//a2VOo26KV9rEEAI2+ccI///yTo9tHRB8mVf9nJjZZ/cXbQ0RZl1f6X52UBLVaDTs7uxzZLino5TGANjY2sLa2hpGREQoULoKCZlm/MKOTTyd84+0DAOg2agJ2b/oTNy6cRf1vnLBn8zpYWltj9KKVMDYxAQCUKF9Ru2zs0xjYFi6i/VkEULBwETx58iRnNoyIPkmq/s9Mclra528IEWVbXun/jYt+QhGH4nB1df2yDZKQXgbAt6Vpsnfyd9mq1bX/N7e0hIVVAcQ9ewoAuH3lImo0bKp98TP1zgHfaRoNBB4ETiQJnff/F66fiHKOVP0fuGY5Du8Kwq/bg2Bubp69ovMQvQ+ARrI34UuQyfDu4YypmQzdvnewqCBAo3lzAUlTs4+/kLZF7BH7NCbDtLjnz+Dg4JDdsokoB+iy/z+2fiLSPSn6P+iPlfBf9Sum/bkNVWvW+oyq8w69PAbwbeZGRhAA2NgVxouYKO30xFcvEf3gXrYeq1zV6rh06hhS1Zkf11OlXkOc++dv7c8CgJN/H0Dz5s0/p3Qi+kK67P8PrZ+IpKHr/g/8YwVUK5dgyu+bUbl2Xb3vf70PgLbmJhAB1GraAgeD/XHp5DHcu3YFv44fCZksey+OR7c+SHr1EotGD8GNC+fw6M4tHAhS4eGtGwAArx79ce7IQez4fRke3LqOgN+X4fihA/juu+9yfLuI6NN02f/q169x+/J/uH35P6Sq1XgW9RiPrl/CjRs3cmHLiOhTdNn/gWuWY8uS+Rj60yLYlyyN5zHRUMc9w6tXr3Jhy3RD73cB25q/2V/vO2gEoh7cxZzBPWFpbY3O3/6Q7b8ArAvZYfp6JTbM/xFTe/pCJjNCueo1Ua1BYwBAtQaNMfrnlfjrl3nYunQBHEqXxR8bN6OpHl8Ikkif6bL/X0RHYYyPu3b+4D9/Q/Cfv6FVq1Y4cOBAjm0TEWXNswd3ARNbnfT/nr/WI1X9GgtHDsiw3LRp0zB9+vSc2iSd0svrAL5NI4rYdSMKagkOxjaRCfCq5MA7ARBJhP1PZDhEUcSFCxegVCqhUqlw/cYNrP3nAqwK2ui8lrza//n+OoBvkwkCyttaQtcvgQCggq1lnnvxiQwJ+58ofxNFEWfPnsXkyZNRrVo11K1bF8uWLcNXX32F4KAg1CntwP7/THq/Cxh480Jce56g03WKAO8AQJQHsP+J8pf00KdUKqFUKnHjxg0UKlQIHTp0wJIlS+Di4gJTU1MAQKI6FTfjknVbH/JH/+eLAGhpYoxyNha4E5eks3WWs7GApUm+ePqI9Br7n0j/iaKI06dPa3fv3rx5E3Z2dvDx8cGyZcvg7OwMk0yu0cf+/3z6vwX/U9u+IJ68SkFymibX12VuJENt+7x1LCSRIWP/E+kfURRx6tQpbei7desWChcuDF9fX6xcuRKOjo6Zhr53sf8/T74JgCZGMjQsbosjD57n+roaFreFiZHeHz5JlG+w/4n0gyiKOHHihDb03blzB0WKFIGvry8UCgUcHR1h/O4Fmz+B/f958k0ABAAHKzPULVoQ56Ljc20dpY3VcLAyy7XHJ6LPo4v+t4qPhoNV8Vx7fKL8SBRFHDt2DCqVCiqVCnfv3kXRokW1oa9ly5bZDn3v0kX/1y1aMF99/+ePGPuWioWsULdo7gzP7ljxMxQuLXH79u1ceXwi+jK52f8Ht66Dr2NzHDx4MFcenyg/0Wg0+PfffzF69GiULVsWzZo1w6ZNm+Dl5YXIyEg8evQIK1euhLOz8xeHv3S52f91ixZExUJWufLYUtH76wB+SFRCCk49js2RYwLM/ze8rH4RA0dHR6jVakRGRqJChQo5UCkR5bTc6H9rIQ3t27fHP//8g507d8LJySkHKiXKP9JDn1KphL+/Px48eIBixYrBz88PCoUCX3/9NYx0cPu03Oh/fRn5y05ey7cBEADUaRpciInHnbgkCHhz6nZWpc9fzsYCte0Lavf5P3z4EE5OTkhOTkZkZCQqVqyYC5UT0ZfKjf5PSkpC+/btcfjwYezcuRPOzs65UDmR/tBoNDhy5AhUKhX8/f3x8OFDlChRQhv6mjdvrpPQ967c6H99wAD4jkR1Km7HJuJWbKL2jgHvviHe/tlEJqCCrSXK21pmeqp3eghMSkrCgQMHGAKJ8rCc7v+kpCR06NABhw4dQkhICFxcXHJ7E4jylLS0NBw5ckQ70vf48WOULFkScrkccrkczZs3h0yWN0JTTvd/XscA+AEaUURcSipik9WITVYjOS0NaRoRRjIB5kZGsDU3ga25CWzMjD95he9Hjx7ByckJCQkJOHDgACpVqqSjrSCiz5GT/Z+cnIwOHTrg4MGDCAkJgaurq462gkgaaWlpOHToEJRKJQICAvDkyROUKlUKcrkcCoUCX331VZ4JfZnJyf7PyxgAdeTx48dwcnLCy5cvceDAAVSuXFnqkohIR5KTk+Hj44MDBw4gKCgI7u7uUpdElKNSU1MzhL6oqCiUKVNGG/qaNGmSp0OfIWIA1KEnT57AyckJ8fHxiIyMRJUqVaQuiYh0JDk5GX5+fggPD0dQUBBat24tdUlEXyQ1NRUHDx7Uhr6YmBiULVsWCoUCcrkcTZo0gaDHI2T5HQOgjj158gTOzs6IjY1FZGQkqlatKnVJRKQjKSkp8PPzQ1hYGAIDA9GmTRupSyLKltTUVERGRkKpVGLHjh14+vQpypUrB4VCAYVCgUaNGjH06QkGQAlERUXB2dkZz58/R2RkJKpVqyZ1SUSkIykpKZDL5di3bx8CAwPh4eEhdUlEH5V+ObP00Pfs2TNUqFBBG/oaNGjA0KeHGAAlEh0dDWdnZzx79gwRERGoXr261CURkY6kpKSgY8eO2LNnD3bs2AFPT0+pSyLKQK1WIzw8HEqlEoGBgXj+/DkqVaqk3b1bv359hj49xwAooejoaLi4uCAmJgYRERGoUaOG1CURkY68fv0aHTt2xO7du+Hv7w9vb2+pSyID9/r1a4SFhUGpVCIoKAgvXrxA5cqVtSN9devWZejLRxgAJRYTEwMXFxdERUUhIiICNWvWlLokItKR169fo1OnTti1axf8/f3Rtm1bqUsiA5OSkpIh9MXGxqJq1ara0Fe7dm2GvnyKATAPePr0KVxcXPD48WNERESgVq1aUpdERDqiVqvRuXNnhISEQKVSoV27dlKXRPlcSkoK9u3bB6VSieDgYMTFxaF69era3bu1atVi6DMADIB5xNOnT+Hq6opHjx4hPDwctWvXlrokItIRtVqNLl26IDg4GNu3b0eHDh2kLonymeTkZOzduxcqlQrBwcGIj49HjRo1tCN93PtkeBgA85Bnz57B1dUVDx48QHh4OOrUqSN1SUSkI2q1Gl27dkVgYCC2b98OHx8fqUsiPZeUlIS9e/dCqVQiJCQEL1++RK1atbQjfTzu3LAxAOYxz58/h6urK+7du4fw8HDUrVtX6pKISEfUajW6d++OgIAAbNu2Db6+vlKXRHomKSkJu3fvhlKpxM6dO/Hq1SvUqVNHG/p42TFKxwCYBz1//hxubm64e/cuwsLCUK9ePalLIiIdSU1NRffu3aFSqbB161bI5XKpS6I8LjExEaGhoVCpVNi5cycSEhJQt25d7e5d3nWKMsMAmEe9ePECbm5uuH37NsLCwlC/fn2pSyIiHUlNTUWPHj2gVCqxZcsWKBQKqUuiPCYhIQGhoaFQKpXYtWsXEhMTUb9+fe1IH+83T5+SnbxmrKOaCEChQoUQFhYGNzc3uLi4ICwsDA0aNJC6LCLSAWNjY2zcuBEymQxdunSBKIro2LGj1GWRxF69eoVdu3ZBqVQiNDQUSUlJaNCgAaZMmQK5XI5KlSpJXSLlUwyAOmZra4v9+/fD3d0drq6u2L9/Pxo2bCh1WUSkA8bGxtiwYQMEQUDXrl2h0WjQuXNnqcsiHXv58iV27twJlUqF0NBQJCcno1GjRpg+fTrkcjkqVKggdYlkABgAJZAeAlu3bq0NgY0aNZK6LCLSASMjI6xfvx4ymQzdunWDKIro0qWL1GVRLouPj8fOnTuhVCqxZ88eJCcno0mTJvjxxx/h5+eH8uXLS10iGRgGQInY2Nhg7969aNOmDdzc3LBv3z40btxY6rKISAeMjIywdu1aCIKA7t27QxRFdO3aVeqyKIfFxcUhJCQESqUSe/fuRUpKCpo2bYpZs2ZBLpejbNmyUpdIBowBUEKZhcAmTZpIXRYR6YCRkRH+/PNPyGQy9OjRAxqNBt27d5e6LPpCsbGxCA4Ohkqlwt69e/H69Ws0a9YMc+bMgZ+fH8qUKSN1iUQAGAAlV7BgQezZswceHh7aENi0aVOpyyIiHTAyMsKaNWsgCAJ69uwJURTRo0cPqcuibIqNjUVQUBCUSiX27dsHtVqNFi1aYP78+fD19UXp0qWlLpHoPQyAecDbIdDd3R179+7FV199JXVZRKQD6SFQJpOhV69e0Gg06NWrl9Rl0Sc8f/5cG/rCwsKQmpqKFi1aYOHChfDz80PJkiWlLpHooxgA8whra2vs3r0bnp6e2hDYrFkzqcsiIh2QyWRYvXo1BEFAnz59IIoievfuLXVZ9I5nz54hMDAQKpUKYWFhSEtLwzfffINFixbB19cXJUqUkLpEoixjAMxDMguBzZs3l7osItIBmUyGVatWQRAE9O3bFxqNBn379pW6LIP39OlTBAYGQqlUIiIiAhqNBi1btsSSJUvg6+uL4sWLS10i0WdhAMxjChQogNDQUHh5eaF169bYs2cPWrRoIXVZRKQDMpkMv/32G2QyGfr37w9RFNGvXz+pyzI4MTEx2LFjB5RKJSIjIyGKIlq1aoWlS5fC19cXDg4OUpdI9MUYAPOg9BDo7e2N1q1bY/fu3fjmm2+kLouIdEAmk2HFihXaEKjRaDBgwACpy8r3oqOjERAQAJVKhQMHDkAURTg5OWH58uXw8fFB0aJFpS6RKEcxAOZRVlZW2LlzJ9q2bQsPDw+EhoaiZcuWUpdFRDogk8mwfPlyCIKAgQMHQhRFDBw4UOqy8p2oqCgEBARAqVTi4MGDEAQBzs7OWLFiBXx8fGBvby91iUS5hgEwD3s7BHp6emLXrl1o1aqV1GURkQ4IgoBly5ZBJpNh0KBBEEURgwYNkrosvffkyRP4+/tDqVTi77//hkwmg4uLC1atWoUOHTqgSJEiUpdIpBMMgHmcpaUlQkJC0K5dO20IdHR0lLosItIBQRCwdOlSyGQyDB48GBqNBkOGDJG6LL3z6NEj+Pv7Q6VS4dChQzAyMoKrqyvWrFmD9u3bo3DhwlKXSKRzDIB6ID0Etm/fXhsCnZycpC6LiHRAEAQsWbIEgiBg6NCh0Gg0GDZsmNRl5XkPHz7UjvQdOXIExsbGcHNzwx9//IH27dvDzs5O6hKJJMUAqCcsLCwQFBSEDh06wMvLCzt37oSzs7PUZRGRDgiCgMWLF0MQBAwfPhyiKGL48OFSl5XnPHjwACqVCkqlEv/88w9MTEzg7u6OtWvXol27dihUqJDUJRLlGQyAesTCwgKBgYHw8fGBl5cXQkJC4OrqKnVZRKQDgiBg0aJFkMlkGDFiBDQaDb799lupy5LcvXv3tCN9//77L0xNTdG6dWts2LABbdu2ha2trdQlEuVJDIB65u0Q2LZtWwQHB8PNzU3qsohIBwRBwMKFCyGTyTBy5EiIooiRI0dKXZbO3b17VzvSd+zYMZiZmaFNmzbYuHEj2rZtCxsbG6lLJMrzGAD1kLm5OXbs2AE/Pz+0a9cOQUFBcHd3l7osItIBQRAwf/58CIKA7777DhqNBqNGjZK6rFx3+/Ztbeg7ceIEzMzM4OHhgc2bN8Pb2xsFCxaUukQivcIAqKfMzc0REBCQIQS2bt1a6rKISAcEQcC8efMgk8kwevRoiKKI0aNHS11Wjrt165Y29J08eRLm5ubw9PTE6NGj4eXlBWtra6lLJNJbDIB6zMzMDP7+/pDL5Wjfvj0CAwPRpk0bqcsiIh0QBAFz5syBTCbD999/D41GgzFjxkhd1he7efMmlEollEolTp8+DQsLC3h5eWHMmDHw8vJCgQIFpC6RKF9gANRzZmZmUKlUUCgUaN++PXbs2AFPT0+pyyIiHRAEAT/99BMEQcDYsWMhiiLGjh0rdVnZdv36dW3oO3v2LCwtLeHl5YXx48fD09MTVlZWUpdIlO8wAOYD6SGwY8eO8PHxQUBAALy8vKQui4h0QBAEzJo1CzKZDD/88AM0Gg3GjRsndVmfdPXqVe3u3XPnzsHKygre3t6YPHkyPDw8YGlpKXWJRPkaA2A+YWpqiu3bt6NTp07aEOjt7S11WUSkA4IgYObMmZDJZBg/fjw0Gg0mTJggdVnvuXLlinak78KFCyhQoADatm2LqVOnok2bNgx9RDrEAJiPvB0CfX194e/vj7Zt20pdFhHpgCAImDFjBgRBwMSJEyGKIiZOnCh1Wbh06ZI29F28eBHW1tZo27YtZs6cidatW8PCwkLqEokMEgNgPmNiYoJt27ahS5cu8PPzg1KpRPv27aUui4h0ZPr06RAEAZMmTYJGo8HkyZN1un5RFHHx4kXt7t1Lly6hYMGCaNeuHWbPng13d3eYm5vrtCYieh8DYD5kYmKCLVu2oGvXrlAoFNi+fTs6dOggdVlEpCPTpk2DTCbDlClTIIoipkyZkqvrE0UR//33n3ak78qVKyhYsCDat2+PuXPnwt3dHWZmZrlaAxFlDwNgPmViYoK//voL3bp104ZAHx8fqcsiIh2ZMmUKBEHAlClToNFoMG3atBx9fFEUcf78eSiVSqhUKly9ehW2trZo3749Fi5cCFdXV4Y+ojyMATAfSw+B3bt3R8eOHbF161b4+flJXRYR6cjkyZMhk8kwadIkiKKI6dOnf9HjiaKIc+fOaUf6rl+/jkKFCqFDhw5YvHgxXFxcYGpqmjPFE1GuYgDM54yNjbFp0yYIgoBOnTph69atkMvlUpdFRDoyceJEyGQyTJgwQRsCBUHI8vKiKOLMmTPakb4bN27Azs4OHTp0wNKlS+Hs7MzQR6SHGAANgLGxMTZu3AhBENC5c2ds2bIFCoVC6rKISEfGjx8PQRC0l4iZOXPmR0OgKIo4deqU9kSOW7duoXDhwvDx8cHy5cvh5OQEExMTHW4BEeU0BkADYWxsjA0bNkAmk6FLly7QaDTo1KmT1GURkY6MGzcuw8WiZ82alSEEiqKIkydPakf6bt++jSJFisDX1xcKhQKtWrVi6CPKRxgADYixsTHWr18PQRDQrVs3iKKIzp07S10WEenI2LFjIZPJMGbMGIiiiFmzZuHEiRPa0Hf37l3Y29tnCH3GxvyaIMqP2NkGxsjICOvWrcsQArt06SJ1WUSkI6NGjcLdu3cxZ84cLF++HPHx8XBwcNCGvpYtW8LIyEjqMokolzEAGiAjIyOsXbsWMpkM3bt3h0ajQbdu3aQui4hyiUajwdGjR7UjfQ8ePIC1tTXi4+PRqVMnbNq0iSN9RAaGHW+gjIyM8Mcff0Amk6Fnz54QRRHdu3eXuiwiyiEajQb//PMPlEol/P398fDhQxQvXhx+fn5QKBRo0aIFli1bhu+++w6lS5fG/Pnzs3V2MBHpNwZAA2ZkZIQ1a9ZAEAT07NkTGo0GPXv2lLosIvpMaWlpGULfo0ePUKJECcjlcigUCjRv3hwymUw7/8iRIyGTyfDtt99Co9Fg4cKFDIFEBoIB0MDJZDL8/vvvkMlk6N27N0RRRK9evaQui4iyKC0tDYcPH9aGvidPnqBUqVLo2LEj5HI5mjVrliH0vWvEiBGQyWQYPnw4NBoNFi1axBBIZAAYAAkymQyrVq2CIAjo06cPRFFE7969pS6LiD4gLS0Nf//9N5RKJQICAhAVFYXSpUujS5cuUCgUaNq06UdD37uGDRsGQRAwbNgwiKKIxYsXMwQS5XMMgATgTQj87bffIJPJ0LdvX2g0GvTt21fqsojof1JTU3Hw4EEolUrs2LED0dHRKFu2LLp37w6FQoEmTZp8UWgbOnQoBEHA0KFDodFo8MsvvzAEEuVjDICkJZPJsGLFCgiCgH79+kEURfTr10/qsogMVmpqKg4cOKANfTExMShXrhx69uwJhUKBxo0b52hIGzJkCGQyGQYPHgxRFLF06VKGQKJ8igGQMkgPgTKZDP3794dGo8GAAQOkLovIYKjVakRGRmpD37Nnz1C+fHn06dMHCoUCDRs2zNVQNmjQIAiCgEGDBkGj0WDZsmUMgUT5EAMgvUcQBO2H/sCBAyGKIgYOHCh1WUT5llqtRnh4OJRKJQIDA/H8+XNUrFgRAwYMgFwuR4MGDXQawgYOHAiZTIYBAwZAFEUsW7YsW8cUElHexwBImRIEAb/++itkMpl2JGDw4MFSl0WUb7x+/TpD6Hvx4gUqVaqEQYMGQaFQoF69epKOvPXv3z/DnoD0PQNElD8wANIHCYKAX375BTKZDEOGDIEoihgyZIjUZRHprdevX2P//v1QKpUICgpCbGwsqlSpgqFDh0KhUKBOnTp5andr3759MxwTvHLlSoZAonyCAZA+ShAE7SUh0s8OHDZsmNRlEemNlJQU7Nu3D0qlEsHBwYiLi0O1atUwYsQIyOVy1K5dO0+Fvnf16dMHgiBorw6watUqhkCifIABkD5JEATtxWGHDx8OURQxfPhwqcsiyrOSk5MzhL74+HhUr14dI0eOhEKhQM2aNfN06HtX7969M1wsfvXq1QyBRHqOAZCyRBAE/Pzzz5DJZBgxYgQ0Gg2+/fZbqcsiyjOSkpKwd+9eKJVKhISE4OXLl6hZsyZGjx4NhUKBGjVqSF3iF+nZsycEQUCvXr2g0WiwZs0ahkAiPcYASFkmCAIWLFgAmUyGkSNHQqPR4LvvvpO6LCLJJCUlYffu3VCpVAgJCcGrV69Qu3ZtjB07FnK5HNWrV5e6xBzVo0cPbQgURRFr1qyBkZGR1GUR0WdgAKRsEQQB8+bNgyAIGDVqFERRxKhRo6Qui0hnEhMTsXv3biiVSuzcuRMJCQmoU6cOxo0bB4VCgapVq0pdYq7q3r07ZDIZevToAY1Ggz///JMhkEgPMQBStgmCgLlz50Imk2H06NEQRRGjR4+WuiyiXJOQkIDQ0FAolUrs2rULiYmJqFevHiZOnAi5XI4qVapIXaJOde3aFYIgoHv37hBFEWvXrmUIJNIzDID0WQRBwOzZsyGTyfD9999Do9FgzJgxUpdFlGNevXqFXbt2QaVSYdeuXUhKSkKDBg0wZcoUyOVyVKpUSeoSJdWlSxfIZDJ069YNGo0G69evZwgk0iMMgPTZBEHArFmzIAgCxo4dC41Ggx9++EHqsog+28uXL7Fr1y4olUrs3r0bSUlJaNiwIaZNmwa5XI6KFStKXWKe0qlTJwiCgK5du0IURaxfvx7GxvxaIdIH7FT6IoIg4Mcff4RMJsO4ceMgiiLGjRsndVlEWfby5UuEhIRAqVRiz549SE5ORuPGjTFjxgzI5XKUL19e6hLztI4dO0IQBHTp0gWiKGLDhg0MgUR6gF1KX0wQBMycORMymQzjx4+HRqPBhAkTpC6L6IPi4+MRHBwMlUqFPXv2ICUlBU2bNsWsWbPg5+eHcuXKSV2iXlEoFJDJZOjcuTM0Gg02bdrEEEiUx7FDKcdMnz4dgiBg4sSJ0Gg0mDRpktQlEWnFxsZqR/r27t2L169f46uvvsLs2bMhl8tRpkwZqUvUa35+fti2bRs6deoEURSxefNmhkCiPIzdSTlq2rRpEAQBkydPhiiKmDx5stQlkQGLjY1FUFAQlEol9u3bB7VajebNm2PevHnw8/ND6dKlpS4xX/H19cX27dvRsWNHdO3aFZs3b4aJiYnUZRFRJhgAKcdNnToVMpkMU6ZMgUajwdSpU6UuiQzIixcvEBgYCJVKhf379yM1NRUtWrTAggUL4Ofnh1KlSkldYr7m4+MDlUoFhUKBLl26YMuWLQyBRHkQAyDlismTJ2tHAjUaDaZPny51SZSPPX/+HIGBgVAqlQgLC0NaWhq+/vpr/Pzzz/Dz80OJEiWkLtGgtG/fHiqVCnK5HJ07d8bWrVsZAonyGAZAyjWTJk2CTCbDxIkTIYqi9hhBopzw9OlTbeiLiIhAWloaWrZsiSVLlsDX1xfFixeXukSD1q5dO/j7+8PPzw+dOnXC1q1bYWpqKnVZRPQ/DICUqyZMmKA9O1gURcyYMYMhkD5bTEwMduzYAZVKhYiICIiiiJYtW+KXX36Br68vihUrJnWJ9Ja2bdsiICAAfn5+6NixI7Zv384QSJRHMABSrhs3bhwEQcC4ceOg0Wjw448/MgRSlkVHR2PHjh1QKpU4cOAARFGEo6Mjli1bBh8fHzg4OEhdIn2Et7c3duzYAR8fHygUCiiVSoZAojyAAZB04ocffoBMJsPYsWMhiqL2DiJEmYmKikJAQACUSiUOHjwIQRDg5OSE5cuXw8fHB0WLFpW6RMoGT09PBAYGwsfHB3K5HEqlEmZmZlKXRWTQGABJZ8aMGZPh3sGzZ89mCCStJ0+ewN/fHyqVCn///TcEQYCzszN+++03dOjQAfb29lKXSF/Aw8MDgYGB6NChA/z8/ODv788QSCQhBkDSqdGjR0MQBIwePRoajQZz585lCDRgjx8/hr+/P5RKJQ4dOgQjIyO4uLhg9erV6NChAwoXLix1iZSD2rRpg+DgYLRv3x6+vr7w9/eHubm51GURGSQGQNK5UaNGQSaT4bvvvoMoipg3bx5DoAF5+PChNvQdOXIERkZGcHNzw5o1a9ChQwfY2dlJXSLlInd3dwQHB6Ndu3bw9fVFQEAAQyCRBBgASRIjR46EIAgYOXIkNBoNFixYwBCYjz148AAqlQoqlQpHjhyBiYkJ3Nzc8Oeff6J9+/YoVKiQ1CWSDrm5uSEkJARt27aFj48PduzYwRBIpGMMgCSZb7/9FjKZDCNGjIAoili4cCFDYD5y//59qFQqKJVK/PvvvzA1NYW7uzvWr1+Pdu3awdbWVuoSSUKurq7YuXMn2rZti/bt2yMwMBAWFhZSl0VkMBgASVLDhw+HIAgYPnw4NBoNFi1axBCox+7evasNfceOHYOpqSnatGmDDRs2oF27drCxsZG6RMpDXFxcsHPnTnh7e6N9+/YICgpiCCTSEQZAktywYcMgk8kwdOhQiKKIxYsXMwTqkTt37mhD3/Hjx2FmZoY2bdpg06ZNaNu2LQoWLCh1iZSHOTs7IzQ0FF5eXmjXrh2CgoJgaWkpdVlE+R4DIOUJQ4YMgUwmw+DBg6HRaPDLL78wBOZht27d0oa+kydPwtzcHB4eHvjrr7/g5eXF0EfZ4ujoiNDQUHh6eqJdu3YIDg5mCCTKZQyAlGcMGjQIgiBg0KBB0Gg0+PXXXxkC85CbN29CqVRCqVTi9OnTsLCwgKenJ77//nt4eXnB2tpa6hJJj7Vq1Qq7d++Gp6cnvL29ERISAisrK6nLIsq3GAApTxk4cCBkMhkGDBgAURSxbNkyhkAJXb9+XTvSd+bMGVhYWMDLywvjxo2Dp6cnChQoIHWJlI+0bNkSu3fvhoeHB7y9vbFz506GQKJcwgBIeU7//v0hCEKGECiTyd6b79tvv4WTkxN8fHwkqDL/unbtmnak79y5c7C0tIS3tzcmTpwIDw8PfiFTrvrmm2+wZ88eeHh4wMvLC7t27cr0Pffbb7/h2bNnmDRpkgRVEum/979VifKAfv36Yc2aNfjtt98wdOhQaDSa9+a5d+8e5s+fL0F1+c+VK1fw448/ok6dOqhatSrmzJmD6tWrQ6VSISYmBtu2bYNcLmf4I534+uuvsWfPHpw6dQqenp549erVe/PExMRg7ty5SEpKkqBCIv3HAEh5Vt++ffHnn39i9erV2pND3taxY0ccPXoUd+/elahC/Xbp0iXMnDkTtWvXRvXq1TF//nzUqlULAQEBiImJwZYtW+Dn58eD8UkSLVq0wN69e3HmzJlMQ6BCocCrV6+wd+9eiSok0m8MgJSn9e7dG2vXrsWaNWu0J4eka9u2LczMzKBSqSSsUL9cvHgR06dPR82aNVGzZk0sXLgQdevWRWBgIKKjo/HXX3/Bx8eH12KjPKF58+bYu3cvzp49Cw8PD7x8+VL7u2rVqqFOnTrYvn27hBUS6S8GQMrzevXqhfXr1+OPP/7AgAEDtCHQ2toanp6e/AL4CFEUceHCBUydOhU1atRArVq1sHjxYjRs2BBBQUGIjo7Gpk2b0L59e4Y+ypOaNWuGffv24fz582jTpg3i4+O1v+vYsSOCg4O5G5joMzAAkl7o0aMHNmzYgHXr1qF///7aENixY0ccP34ct2/flrjCvEMURZw7dw5TpkxB9erVUadOHSxduhSNGzdGSEgIoqOjtXfm4P1XSR989dVX2L9/Py5evJghBHbs2BEJCQkIDQ2VuEIi/cMASHqje/fu2LhxI9avX49+/fohLS0N3t7esLCwgFKplLo8SYmiiLNnz2LSpEmoWrUq6tWrh2XLlqFZs2bYtWsXoqKisH79enh7e8PMzEzqcomyrUmTJti/fz8uXbqE1q1bIy4uDpUrV0b9+vW5F4DoMzAAkl7p2rUrNm3ahA0bNqBv377a69IZ4heAKIo4ffo0JkyYgCpVqqB+/fpYuXIlvv76a4SGhiIqKgpr166Fp6cnQx/lC40bN0ZYWBiuXLmiDYEdO3bEzp07kZCQIHV5RHqFAZDyrGnTpqFatWqYOHEiTp8+DVEUAQBdunTBX3/9hc2bN6NPnz6Qy+U4deoUbt68KXHFuU8URZw8eRLjx49HpUqV0LBhQ6xevRqtWrXCnj17EBUVhT///BMeHh4wNTWVulyiz6ZSqVCuXDkMGTIE4eHhSE1NBQA0atQIYWFhuHbtGtzd3dGmTRskJiZyNzBRNgli+rfqR8THx8PGxgZxcXG8xyfpzJUrV/Dzzz9jx44dePbsGSpUqAC5XA65XI5GjRpBqVSia9eukMvlCAkJwZQpUzB+/PgPPp5GFBGXkorYZDVik9VITktDmkaEkUyAuZERbM1NYGtuAhszY8hy6O4jCQkJMDIy+qJj7dJDn1KphEqlwu3bt1G4cGH4+PhAoVDAyckJJiYmOVIvUV7x7NkzzJ07FyqVCnfu3EGRIkXg4+MDuVwOJycnXLhwAa6urqhUqRJSU1NRsWLFjx4KIkX/E+ladvIaAyDleWq1GgcPHoRSqURAQACePn2KsmXLQi6Xo1ChQpg6dSpKlSqFQoUK4ezZs+8tn6hOxa3YRNyOTYRa8+btLgB4+43/9s8mMgHlbS1RwdYSliaff7OcS5cuwdnZGSNGjMj23QpEUcTx48e1oe/u3bsoUqQIfH19oVAo4OjoCGNj3siH8j9RFHHq1CntLQlv3boFOzs7dOjQAfXr18fUqVNhZWWFZ8+eITo6+r3bE0rV/0RSYACkfCs1NRV///03VCoVAgICEBUVhSJFiuDp06cA3lznrkaNGgAAdZoGF2LicScu6b0P/E9Jn7+cjQVq2xeEiVH2jpa4ePEinJ2d4eDggPDwcNjb239yGY1Gg2PHjkGlUkGlUuHevXsoWrSoNvS1bNmSoY8MWvrJTulh8Pr167C2tkZSUhJSU1Px+++/o3///gCk7X8iqTAAkkFIS0vD4cOHoVQqsXnzZsTGxmLQoEH47bffEJWQgpOPY5GS9v4t5LLL3EiGhsVt4WCVtRMpLl68CCcnJxQvXhzh4eEoUqTIB+fVaDQ4evSodqTvwYMHcHBwyBD6jIyMvngbiPKb9GtcKpVKbNq0CXfu3EG9evVw5swZSfufSEoMgGRwNBoNdu/ejebNm+M5THEuOv7TC2VT3aIFUbHQx++F+99//8HZ2RklSpRAWFhYpuFPo9Hgn3/+gVKphL+/Px4+fIhixYrBz88PCoUCX3/9NUMfUTaIooh//vkHRYsWhaxICcn6n0hqDIBksG6+SMiVD/90H/sSeDv8hYeHo3DhwtrfpaWlZQh9jx49QvHixSGXy6FQKNC8eXOGPqIvJGX/E+UF2clrPKCI8o2ohJRc/fAHgHPR8Shgavze7qALFy7A2dkZpUqVQlhYGAoXLpxhF7W/vz+ePHmCkiVLZgh9MhmPLSLKCVL2P5E+YgCkfEGdpsHJx7E6Wdepx7FwK2+vPTD8/PnzcHFxQenSpbFnzx6cP39ee8ZyVFQUSpUqhc6dO0OhUOCrr75i6CPKYVL2P5G+YgCkfOFCTDxe58AB31mR/L+zCxsUs8X58+fh7OyMQoUKoW7duqhduzaio6NRpkwZdOvWDXK5HE2bNmXoI8pFUvU/kT7jtxLpJVEUMXDgQNjZ2UEQBEQePZGtyzx8qTtxSQg7+DeaNGmC58+f48aNG4iIiECPHj1w9OhR3LlzBz///DOaNWvG8EeUw/JC/yeqU3W4RqKcxxFA0kt79uzBunXrcODAAbwuaI+nwuffaSOrju4LRcCqpXh87w7SUtWwK1IUKSkp2t8/f/4cERERuH//PipXrpzhX5EiRSDw7gJEOUKK/n/bkV2B8Pt+KNq3b4/AwECdrpsopzAAkl66efMmihcvjq+aNcOuG1GQaXL/7/8CNrbwGzwSJStUgrGJCc4cDMPauTOwYsUKFC1aFNevX9f+O3LkCB4+fKhd1sbGBlWqVEGzZs2waNEinvFL9AWk6P900Q8fYN38H1GjUVOdjjoS5TQGQNI7vXv3xvr16wEARjIZ7EuUAgB49xoA714DtPN938EVTVzaoNOIMQAAv2olMOTHBTh1MBxnDx+AnUNx9B43FY2dW2uXuXf9KjYunIXLJ49BFEWUr14Tw+csQbEy5VCrafMMdXj06I/juwJw//59DBw48L06ExIScOPGjQzBMDY2lruEib6AVP0PvLmc0y9jh6HTiO9x+eRxpKYm6WiriXIeAyDpnV9++QUVK1bE6tWr4R92EBefJ2Kc3CNLy25fvgg9xkxGz7FTELrpTywZMxy/RRyHtW0hPIt6jCndfVGzSTNMX6eEZYECuHL6BNJS3z/WRxRFXDh6GNevXUPLli0zXZeVlRXq1q2LunXrftH2EtH/k7L/lcsXoaBdYbjKu+LyyePaewsT6SMGQNI7NjY2sLa2hpGREUxsCsMWFlle1smnE77x9gEAdBs1Abs3/YkbF86i/jdO2LN5HSytrTF60UoYm5gAAEqUr5hh+YSX8RjYqgHUr19DJjPChLkL4ebmlnMbR0QfJVX/Xzl9HOH+W/Fz4D4Ab+4XrNbRmcdEuYEBkPRaclpato7DKVu1uvb/5paWsLAqgLhnTwEAt69cRI2GTbUf/pmxsCqAhTv2IzkxARf+PYxF0yfBqX4tODo6fuYWENHn0lX/J716hV/GjsCQHxegYKE3d/gRAWRv7UR5CwMg6bW0/+2CEWQyvHtXw9RMdt0aGb/zlhcEaDRv/oo3Nfv0mYQymQzFy5YHAJSvXgtP793EnDlzGACJJKCr/n9y/w6iH97HnCG9tNPE/y1nbGyMq1evomLFih9anChPYgAkvWYke3NpFRu7wngRE6WdnvjqJaIf3MvWY5WrWh2RgUqkqtUfHQV8myAiw6VgiEh3dNX/JStUwuLgiAzT/vplHjTJiVj32wqULl36M7eASDo8HZH0mrmREQQAtZq2wMFgf1w6eQz3rl3Br+NHQibL3qVWPLr1QdKrl1g0eghuXDiHR3du4UCQCg9v3QAABKz6FeeOHMST+3fx4NZ1hKxdhT3+29C9e/dc2DIi+hRd9b+pmTnKVKmW4V8BaxtYF7BGrVq1YGpqmjsbSJSLOAJIes3W3ARiHOA7aASiHtzFnME9YWltjc7f/pDtEQDrQnaYvl6JDfN/xNSevpDJjFCuek1Ua9AYAJCclIjVMyfi+ZPHMDU3R8nyFbFo1R/o37dnbmwaEX2CLvv/XSLA+wGTXhPEdw+cyER8fDxsbGwQFxeHggUL6qIuoix5kaxG5N2nkq3/n42/oXWrr+Hk5ATjd48vIqJcJXX/O5UtgkLmWTtchEgXspPX+OcL6TUbM2OYyKS5xVpqSjKCtm+Bu7s7ihUrhgEDBmDfvn1Qq9WS1ENkaKTsfxOZABsz/tFH+osBkPSaTBBQ3tYSuv4KEADULF4Y165exalTpzBgwABERkaidevWKFasGPr164c9e/YwDBLlIin7v4KtJWS8vzfpMQZA0nsVbC11fjUuEXjzxSMIaNCgAebMmYPr16/jzJkzGDx4MA4dOgQPDw84ODigT58+CA0NxevXr3VcJVH+J2X/E+kzBkDSe5Ymxihnk/W7AeSEcjYWsDTJuPtHEATUq1cPP/30E65evYqzZ89i6NCh+Oeff+Dl5QUHBwf07t0bu3bt4qVjiHJIXul/In3Dk0AoX1CnabD/dgySdXBrJnMjGdzK22f5DEBRFPHff/9BqVRCqVTiypUrsLGxQbt27aBQKODu7g4zM7Ncrpoo/8rL/U+kSzwJhAyOiZEMJcREnayrYXHbbH34C4KA2rVrY+bMmbh06RIuXLiA7777DqdOnUK7du1QtGhR9OjRA0FBQUhOTs7FyonyJxMjGarb6OZs3Oz2P1FexXcx5Qs3btyAt9M3CPptSa6up27RgnCw+vzROkEQUKtWLUyfPh0XL17ExYsXMXr0aJw5cwYdOnRA0aJF0a1bNwQGBiIpKSkHKyfKv+Li4tC1nRc2LfgxV9fzpf1PlJdwFzDpvevXr8PR0RHW1taIjIxEonlBnIuOz/H11C1aEBULWeX446a7fPkyVCoVlEolLly4gAIFCsDb2xsKhQIeHh6wsNDtcU5E+iAuLg6tW7fG1atXsX//fhSqWF0v+58oJ2QnrzEAkl67du0anJycULBgQURGRqJYsWIAgKiEFJx6HJsjxwSZG8nQsLitTv/yv3r1qjYMnjt3DlZWVvD29oZcLoenpycsLXkGIlFsbCxat26Na9euISwsDA0bNgSg//1P9LkYAMkgXL16FU5OTrC1tUVERIQ2/KVTp2lwISYed+KSIADZulRE+vzlbCxQ276gpMf8XLt2TRsGz549C0tLS3h5eUGhUMDT0xNWVhyVIMPz4sULuLu74+bNmwgLC0ODBg0y/D6/9D9RdjAAUr535coVODk5wc7ODhEREXBwcPjgvInqVNyOTcSt2ESoNW/e7u9+Ibz9s4lMQAVbS5S3tcxzl3q4ceOGNgyePn0aFhYW8PT0hEKhgJeXFwoUKCB1iUS57sWLF3Bzc8Pt27cRFhaG+vXrf3De/NT/RJ/CAEj52uXLl+Hs7IzChQsjIiICRYsWzdJyGlFEXEoqYpPViE1WIzktDWkaEUYyAeZGRrA1N4GtuQlszIz14gr/N2/ehL+/P5RKJU6ePAlzc3N4enpCLpfD29sb1tbWUpdIlOOeP38ONzc33LlzB+Hh4ahXr16Wlstv/U+UGQZAyrcuXboEZ2dn2NvbIzw8PMvhL7+7ffu2dmTwxIkTMDc3R5s2baBQKODt7c2+pXzh+fPncHV1xb179xAeHo66detKXRJRnsIASPnSxYsX4ezsDAcHB4SHh8Pe3l7qkvKku3fvasPgsWPHYGZmhtatW0OhUKBt27awsbGRukSibHv27BlcXV3x4MEDhIeHo06dOlKXRJTnMABSvvPff//B2dkZxYsXR3h4OIoUKSJ1SXrh3r172t3E//77L0xNTdG6dWvI5XK0a9cOtra2UpdI9ElPnz6Fq6srHj58iIiICNSuXVvqkojyJAZAylcuXLgAFxcXlChRAmFhYQx/n+n+/fvaMPjPP//AxMQE7u7uUCgUaN++PcMg5UlPnz6Fi4sLHj9+jIiICNSqVUvqkojyLAZAyjfOnz8PFxcXlCpVCmFhYShcuLDUJeULDx8+1IbBI0eOwNjYGK6urtowaGdnJ3WJRIiJiYGLiwuioqIQERGBmjVrSl0SUZ7GAEj5wrlz5+Di4oIyZcogLCyMoSSXPHr0CP7+/lCpVDh06BCMjIzg6uoKuVyODh06MHSTJKKjo+Hi4oKYmBhERESgRo0aUpdElOcxAJLeO3v2LFxdXVG2bFns37+f4U9HHj9+jICAACiVSvz9998wMjKCs7MzFAoFOnTowN3vpBPR0dFwdnbG06dPERkZierVq0tdEpFeYAAkvXbmzBm4urqifPnyb+7tWaiQ1CUZpCdPnmDHjh1QKpU4ePAgBEGAk5MTFAoFfHx8eBY25YqoqCg4Ozvj+fPniIyMRLVq1aQuiUhvMACS3jp9+jRcXV1RsWJF7N+/nycm5BFRUVHYsWMHVCoVIiMjIQgCHB0dIZfL4evry+sxUo548uQJnJ2dERsbi8jISFStWlXqkoj0CgMg6aVTp07Bzc0NlSpVwr59+xj+8qiYmBjtyGBkZCREUUSrVq2gUCjg6+v70dvyEX3IkydP4OTkhLi4OIY/os/EAEh65+TJk3Bzc0PVqlWxd+9eXqxYTzx9+hSBgYFQKpUIDw+HRqNBy5YtoVAo4Ofnh2LFikldIumBx48fw9nZGfHx8YiMjESVKlWkLolILzEAkl45ceIE3N3dUa1aNezZs4fhT089e/YMgYGBUKlUCAsLQ1paGr755hvI5XL4+fmhRIkSUpdIedCjR4/g5OSEhIQEREZGonLlylKXRKS3GABJbxw/fhzu7u6oUaMG9uzZw/dXPvH8+XMEBQVBqVQiLCwMqampaNGihXZksGTJklKXSHlAevhLTExEZGQkKlWqJHVJRHqNAZD0wrFjx+Du7o5atWph9+7dfG/lUy9evEBwcDCUSiX27dsHtVqN5s2bQ6FQQC6Xo1SpUlKXSBJ4+PAhnJyckJycjMjISFSsWFHqkoj0HgMg5XlHjx5F69atUbt2bezevRvW1tZSl0Q6EBsbi+DgYKhUKuzduxevX79Gs2bNtCODZcqUkbpE0oEHDx7AyckJr1+/RmRkJCpUqCB1SUT5AgMg5Wn//vsvWrdujbp16yI0NJThz0DFxcUhJCQESqUSe/fuRUpKCpo2baodGSxbtqzUJVIuuH//PpycnKBWq3HgwAGUL19e6pKI8g0GQMqz/vnnH7Ru3Rr169dHaGgoChQoIHVJlAfEx8dj586dUCqV2L17N1JSUtC4cWNtGGRIyB/u3bsHJycnpKWlITIykq8rUQ5jAKQ86ciRI2jTpg0aNGiAXbt2MfxRpl6+fImdO3dCpVIhNDQUycnJaNSokTYMcnehfrp37x4cHR0hiiIiIyNRrlw5qUsiyncYACnPOXToEDw8PNC4cWPs3LkTVlZWUpdEeuDVq1fYtWsXlEolQkNDkZSUhAYNGkChUEChUPDEAT1x9+5dODk5AQAiIyO5e58olzAAUp7y999/w9PTE02aNEFISAjDH32WhIQEhIaGQqlUYteuXUhMTES9evW0YZDXj8ub7ty5AycnJwiCgAMHDvBEH6JcxABIecbBgwfh5eWFpk2bIiQkBJaWllKXRPlAQkICdu/eDaVSiZ07dyIxMRF169bV7ibmbcTyhjt37sDR0RFGRkY4cOAASpcuLXVJRPkaAyDlCQcOHICXlxeaNWuG4OBghj/KFYmJidizZw+USiVCQkKQkJCA2rVra0cGq1WrJnWJBun27dtwdHSEiYkJDhw4wOs9EukAAyBJLjIyEt7e3mjRogWCgoJgYWEhdUlkAJKSkrBnzx6oVCoEBwfj1atXqFmzpjYM1qhRQ+oSDcKtW7fg6OgIMzMzREZGMvwR6QgDIEkqIiIC3t7e+OabbxAYGMjwR5JITk7G3r17oVQqERwcjJcvX6JGjRra3cQ1a9aEIAhSl5nv3Lx5E46OjrCwsEBkZCRv+0ekQwyAJJnw8HB4e3ujVatW2LFjB8Mf5QnJycnYv38/lEolgoKCEB8fj2rVqmlHBmvVqsUwmANu3LgBJycnWFpaIjIyEiVKlJC6JCKDwgBIkggLC0Pbtm3h6OiIHTt2wNzcXOqSiN6TkpKSIQzGxcWhatWqkMvlUCgUqFOnDsPgZ7h+/TqcnJxQoEABREREMPwRSYABkHRu3759aN++PZycnBAQEMDwR3rh9evXCAsLg1KpRGBgIGJjY1G5cmXtbuJ69eoxDGbB9evX4ejoiIIFCyIiIgLFixeXuiQig8QASDq1d+9etG/fHq6urvD394eZmZnUJRFl2+vXrxEREQGlUokdO3bgxYsXqFSpknZksH79+gyDmbh69SqcnJxga2uLiIgIFCtWTOqSiAwWAyDpzJ49e9ChQwe4ublBpVIx/FG+oFarM4TB58+fo0KFCtow2LBhQ4ZB/H/4K1SoECIiIuDg4CB1SUQGjQGQdCI0NBQ+Pj5o3bo1lEolwx/lS2q1GgcOHNCGwadPn6J8+fKQy+WQy+Vo3LixQYbBK1euwMnJCYULF0Z4eDjDH1EewABIuW7Xrl3w9fWFh4cHtm/fDlNTU6lLIsp1qampOHjwIJRKJQICAhATE4OyZctqRwabNGliEGHw8uXLcHJygr29PcLDw1G0aFGpSyIiMABSLtu5cyf8/Pzg6emJbdu2MfyRQUpNTcXff/+tDYPR0dEoXbq0Ngw2bdoUMplM6jJz3KVLl+Dk5AQHBweEh4fD3t5e6pKI6H8YACnXhISEwM/PD97e3ti6dSvDHxGAtLQ0HDp0CEqlEv7+/oiKikKpUqW0u4mbNWuWL8LgxYsX4ezsjGLFiiEsLIzhjyiPYQCkXBEUFASFQoF27dphy5YtMDExkbokojwnLS0NR44c0YbBx48fo2TJkvDz84NCoUDz5s31Mgz+999/cHZ2RokSJRAWFoYiRYpIXRIRvYMBkHJcYGAgOnbsiPbt2+Ovv/5i+CPKAo1GkyEMPnr0CMWLF9eGwRYtWsDIyEjqMj/pwoULcHZ2RqlSpRAWFobChQtLXRIRZYIBkHLUjh070LFjR/j4+GDz5s0Mf0SfQaPR4N9//4VSqYRKpcLDhw9RrFgxbRj8+uuv82QYPH/+PFxcXFC6dGns37+f4Y8oD2MApBzj7++Pzp07w8/PD5s2bYKxsbHUJRHpPY1Gg6NHj0KlUkGlUuH+/ftwcHCAr68vFAoFWrZsmSfC4Llz5+Di4oKyZcti//79sLOzk7okIvoIBkDKESqVCp07d4ZCocDGjRsZ/ohygUajwfHjx7Ujg/fu3UPRokXh4+MDhUKBVq1aSdJ7Z8+ehYuLC8qXL4/9+/ejUKFCOq+BiLKHAZC+mFKpRJcuXdCxY0ds2LCB4Y9IB0RRxIkTJ6BUKqFUKnH37l3Y29trw6Cjo6NOevHMmTNwdXVFhQoVsG/fPoY/Ij3BAEhfZNu2bejWrRs6d+6MdevWMfwRSUAURZw8eRIqlQpKpRK3b99G4cKFtWHQyckpV47HPX36NFxdXVGpUiXs27cPtra2Ob4OIsodDID02bZu3Yru3bujS5cuWLduXZ44DonI0ImiiNOnT2tHBm/dugU7Ozt06NABCoUCLi4uORIGT506BTc3N1SuXBn79u2DjY1NDlRPRLrCAEif5a+//kKPHj3QrVs3rF27luGPKA8SRRFnz57VhsEbN26gUKFCGcLg51yg/eTJk3Bzc0PVqlWxd+9ehj8iPcQASNm2efNm9OzZEz169MAff/zB8EekB0RRxLlz57S7ia9duwZbW1u0b98eCoUCbm5uWQqDJ06cgJubG2rUqIE9e/bwc55ITzEAUrZs2rQJvXr1Qq9evfD7778z/BHpIVEUceHCBe3I4NWrV2FjY4N27dpBoVDA3d0dZmZm7y13/PhxuLu7o2bNmti9ezc/44n0GAMgZdmGDRvQu3dv9OnTB7///rte3qKKiDISRREXL17UhsHLly+jYMGCGcKgubk5jh07Bnd3d9SuXRu7d++GtbW11KUT0RdgAKQsSQ9//fr1w6pVqxj+iPKpixcvancTX7x4EdbW1mjWrBkOHz6MevXqYc+ePQx/RPkAAyB90rp169C3b1+GPyIDc/nyZSxatAh//vknNBoNrKys0K5dO8jlcnh4eMDCwkLqEonoM2Unr/Fb3wD9+eef6Nu3LwYMGMDwR2Rgnj9/jq1bt+Lrr7/GyZMnMX78eFy8eBF+fn6wt7dH586d4e/vj8TERKlLJaJcxBFAA/PHH3+gf//+GDx4MJYvX87wR2RADh8+DA8PDzRq1Ag7d+6ElZWV9nfXrl3THjN47tw5WFpawsvLCwqFAp6enhnmJaK8ibuAKVO///47Bg4ciCFDhmD58uUQBEHqkohIRw4dOgQPDw80adIEISEhHw10169f1x4zeObMGVhYWMDLywtyuRxeXl4oUKCADisnoqxiAKT3rF69GoMGDcKwYcPw66+/MvwRGZC///4bnp6eaNq0KUJCQmBpaZnlZW/cuAF/f38olUqcOnUKFhYW8PDwgEKhgJeXF08eIcpDGAApg99++w1DhgzBiBEj8MsvvzD8ERmQgwcPwtPTE82aNUNwcHC2wt+7bt26pR0ZPHnyJMzNzdGmTRsoFAq0bduWYZBIYgyApLVy5UoMHToU3377LZYsWcLwR2RADhw4AC8vLzRv3hzBwcE5eobvnTt3tGHw+PHjMDMzQ5s2bSCXy9GuXTt+VxBJgAGQAADLly/H8OHDMXLkSCxevJjhj8iAREREwNvbG19//TWCgoJy9fIud+/e1e4mPnr0KExNTdG6dWvtyKCtrW2urZuI/h8DIGHZsmUYMWIERo0ahZ9//pnhj8iAhIeHo23btmjZsiV27Nih02v73bt3TxsG//33X5iYmMDd3R0KhQLt27dnGCTKRQyABm7p0qUYOXIkvv/+eyxYsIDhj8iAhIWFoW3btnB0dMSOHTtgbm4uWS0PHjzQhsEjR47AxMQEbm5ukMvl6NChAwoVKiRZbUT5EQOgAVuyZAlGjRqFMWPGYP78+Qx/RAZk//79aNeuHZycnBAQECBp+HvXw4cP4e/vD5VKhcOHD8PIyAiurq5QKBTo0KED7OzspC6RSO8xABqoxYsXY/To0fjhhx8wd+5chj8iA7Jv3z60a9cOrq6u8Pf3h5mZmdQlfdCjR48QEBAApVKJQ4cOwcjICM7OztowWKRIEalLJNJLDIAGaNGiRfj+++8xfvx4zJ49m+GPyIDs3bsX7du3h5ubG1QqVZ4Of+968uSJNgz+/fffEAQBzs7OkMvl8PHxgb29vdQlEukNBkADs3DhQowdOxYTJkzATz/9xPBHZEB2794NHx8fuLu7Q6lU6lX4e1dUVBQCAgKgUqlw4MABCIIAR0dHKBQK+Pj4oGjRolKXSJSnMQAakPnz52PcuHGYNGkSfvzxR4Y/IgMSGhoKHx8feHh4YPv27TA1NZW6pBwTHR2NHTt2QKlUIjIyEgDQqlUrKBQK+Pr6wsHBQeIKifIeBkADMW/ePIwfPx5TpkzBjBkzGP6IDMiuXbvg6+sLT09PbNu2LV+Fv3fFxMQgMDAQSqUSEREREEURLVu21IbBYsWKSV0iUZ7AAGgA5syZg4kTJ2LatGmYPn261OUQkQ6FhITAz88P3t7e2Lp1a74Of+96+vQpAgMDoVKpEB4ejrS0NHzzzTdQKBTw8/ND8eLFpS6RSDIMgPncTz/9hMmTJ2P69OmYNm2a1OUQkQ4FBwdrb7e2ZcsWmJiYSF2SZJ49e4agoCAolUqEhYUhLS0NX3/9NeRyOfz8/FCyZEmpSyTSKQbAfGzWrFnaXb5Tp06Vuhwi0qGgoCDtHTX++usvgw5/73rx4oU2DO7fvx9qtRotWrTQjgyWKlVK6hKJch0DYD41c+ZMTJs2DT/++CMmT54sdTlEpEM7duxAx44d4ePjg82bNzP8fcSLFy8QHBwMlUqFffv24fXr12jWrBkUCgXkcjlKly4tdYlEuYIBMB+aMWMGpk+fjlmzZmHSpElSl0NEOhQQEIBOnTrBz88PmzZtgrGxsdQl6Y24uDgEBwdDqVRi7969eP36Nb766ivtyGDZsmWlLpEoxzAA5iOiKGL69OmYOXMmZs+ejQkTJkhdEhHpkL+/Pzp16gSFQoGNGzcy/H2BuLg47Ny5E0qlEnv27EFKSgqaNGmiHRksV66c1CUSfREGwHxCFEXtLt+5c+di3LhxUpdERDqkVCrRpUsXdOzYERs2bGD4y0Hx8fHYuXMnVCoVdu/ejeTkZDRq1AgKhQIKhQLly5eXukSibGMAzAdEUcTUqVMxa9YszJs3Dz/88IPUJRGRDm3fvh1du3ZFp06dsH79eoa/XPTy5Uvs2rULSqUSoaGhSE5ORsOGDbUjgxUrVpS6RKIsYQDUc6IoYvLkyZg9ezYWLFiAMWPGSF0SEenQtm3b0K1bN3Tp0gXr1q2DkZGR1CUZjFevXiE0NBRKpRK7du1CUlIS6tevrx0ZrFSpktQlEn0QA6AeE0UREydOxNy5c/Hzzz9j9OjRUpdERDq0ZcsWdO/eHd26dcPatWsZ/iSUkJCA0NBQqFQq7Ny5E4mJiahbt642DFapUkXqEokyYADUU6IoYsKECZg3bx4WLVqEUaNGSV0SEenQX3/9hR49eqBHjx74448/GP7ykMTEROzevRtKpRI7d+5EQkIC6tSpo91NXK1aNalLJGIA1EeiKGLcuHFYsGABlixZgpEjR0pdEhHp0KZNm9CrVy/07NkTa9asYfjLw5KSkrBnzx4olUqEhITg1atXqFWrlnZksHr16lKXSAaKAVDPiKKIsWPH4ueff8Yvv/yCb7/9VuqSiEiHNm7ciN69e6N37974/fffIZPJpC6JsigpKQl79+6FSqVCcHAwXr58iRo1amjDYM2aNaUukQwIA6AeEUURY8aMwaJFi/Drr79i+PDhUpdERDq0fv169OnTB3379sXq1asZ/vRYcnIy9u3bB6VSieDgYMTHx6N69era3cS1atWCIAhSl0n5GAOgnhBFEaNHj8aSJUuwbNkyDBs2TOqSiEiH1q1bh759+6Jfv35YtWoVw18+kpKSgn379kGlUiEoKAhxcXGoWrWqdmSwdu3aDIOU4xgA9YAoihg1ahR++eUXrFixAkOGDJG6JCLSobVr16Jfv34YMGAAVq5cyfCXj6WkpCAsLAxKpRJBQUGIjY1FlSpVIJfLoVAoULduXYZByhEMgHmcKIoYOXIkfv31V6xcuRKDBw+WuiQi0qE//vgDAwYMwKBBg7B8+XKGPwPy+vVrhIeHQ6lUIjAwEC9evEClSpW0u4nr16/PMEifjQEwDxNFESNGjMDy5cuxatUqDBw4UOqSiEiH1qxZgwEDBmDIkCFYtmwZw58Be/36NSIiIrRh8Pnz56hYsaJ2ZLBBgwYMg5QtDIB5lCiKGD58OFasWIHVq1djwIABUpdERDq0evVqDBo0CMOGDcOvv/7KL3fSUqvViIyMhFKpxI4dO/Ds2TOUL19eGwYbNWrE9wt9EgNgHqTRaDB8+HD89ttv+P3339GvXz+pSyIiHVq1ahUGDx6M4cOHY+nSpfwypw9Sq9U4ePAglEolAgIC8PTpU5QrVw5yuRxyuRxNmjTh+4cyxQCYx2g0GgwdOhSrV6/GmjVr0LdvX6lLIiIdWrlyJYYOHYpvv/0WS5Ys4Zc3ZVlqamqGMBgTE4MyZcpoRwabNm3K9xNpMQDmIRqNBoMHD8aaNWvw559/onfv3lKXREQ6tGLFCgwbNgwjR47E4sWL+WVNny0tLQ1///23NgxGRUWhdOnS8PPzg0KhwFdffcVjSg0cA2AeodFoMGjQIPzxxx9Yu3YtevXqJXVJRKRDy5Ytw4gRIzBq1Cj8/PPPDH+UY9LS0nD48GEolUr4+/vjyZMnKFmypHY3cfPmzRkGDRADoI74+/ujYsWKqFev3nu/02g0GDBgANauXYv169ejR48eui+QiHLN0aNH8ezZM3h5eWX6+19//RXffvstRo8ejYULFzL8Ua5JS0vDkSNHtGHw8ePHKFGihHZksEWLFgyDBiI7eY3viM+UlJSEXr16Yf/+/e/9TqPRoH///li3bh02bNjA8EeUD40cORIbN27M9Hfp9/QeM2YMwx/lOiMjI7Rs2RK//vorHjx4gEOHDkEul8Pf3x8tW7ZEqVKlMHz4cBw8eBBpaWlSl0t5BAPgZwoNDUVCQgLat2+fYXpaWhr69euH9evXY8OGDejevbtEFRJRbrl9+zaOHz+ODh06vPe7xYsX47vvvsMPP/yA+fPnM/yRTslkMnz99df45ZdfcP/+fRw+fBidOnVCUFAQHB0dUapUKQwbNgwHDhxgGDRwDICfafv27ahXrx6qVKminZaWloa+fftiw4YN2LRpE7p16yZhhUSUW5RKJSwsLODt7Z1h+qJFizB69GiMGzcOc+fOZfgjSclkMrRo0QKLFy/G3bt38c8//6BLly4ICQmBk5MTSpQogSFDhiAiIgKpqalSl0s6xgD4GRISErBz50506tRJOy0tLQ19+vTBpk2bsHnzZnTp0kXCCokoN23fvh1eXl4oUKCAdtrPP/+M77//HhMmTMCcOXMY/ihPkclkaNasGRYtWoS7d+/i6NGj6NGjB3bv3g0XFxeUKFECgwYNQlhYGMOggWAA/Ay7du1CYmIiFAoFgDfhr1evXvjrr7/w119/oXPnzhJXSES55caNGzh16hQ6duyonbZgwQKMGTMGkyZNwk8//cTwR3maIAho2rQpFi5ciNu3b+PYsWPo3bs39u3bBzc3NxQvXhwDBw7E/v37oVarpS6XcgkD4GfYvn07GjZsiIoVKyI1NRU9e/bE1q1bsWXLlgyjgkSU/yiVSlhaWsLT0xMAMG/ePPzwww+YPHkyfvzxR4Y/0iuCIKBJkyaYP38+bt26hRMnTqBv374ICwuDu7s7ihcvjv79+2Pv3r0Mg/kMA2A2vXr1Crt27ULHjh2RmpqKHj16YPv27di2bZt2RJCI8q/t27fD29sbVlZWmDt3LsaPH4+pU6di5syZDH+k1wRBQKNGjTBv3jzcvHkTp06dwoABA3DgwAG0adMGDg4O6Nu3L3bv3o3Xr19LXS59IQbAbAoJCUFycjJ8fX3RvXt3qFQqbNu2DX5+ftp54uPjsXnzZvTt2xfXrl2TsFoiyknXrl3D2bNn0alTJ8yePRsTJkzAtGnTMGPGDG34e/36NUJDQzF48GCEhYVJXDHR5xEEAQ0aNMCcOXNw/fp1nD59GkOGDMHhw4fh6ekJBwcH9OnTB6GhoQyDespY6gJ0SSOKiEtJRWyyGrHJaiSnpSFNI8JIJsDcyAi25iawNTeBjZkxZB/4S3779u1o3LgxJk6ciB07dmD79u3w8fFBbGwsQkJCoFQqsXfvXrx+/RpNmzaFsbFBPcVEeVZO9b+VlRXOnTuHmTNnYvr06Zg2bRpSUlKwb98+qFQqBAUFIS4uDpUrV+ZeAcoXBEFA/fr1Ub9+fcyaNQvnz5+HUqmEUqnEunXrYGNjg/bt20OhUMDNzQ1mZmZSl/yenOj//MYg7gSSqE7FrdhE3I5NhFrzZnMFAG9v+Ns/m8gElLe1RAVbS1ia/H+Ai4+PR9GiRVG1alVcvnwZa9euhVqthkqlwr59+6BWq9G8eXPI5XL4+fmhTJkyutpEIvqAnOp/AKhTpw4A4MKFC5gyZQoaNmwIpVKJkJAQxMfHo1q1alAoFFAoFKhVqxZ3CVO+Jooi/vvvP20YvHLlCgoWLIh27dpBoVDA3d0d5ubm2X7ckJAQLF26FFu2bEGRIkW+qMac7H99wFvB/Y86TYMLMfG4E5f03gv+Kenzl7OxQG37gjAxkmHdunXo06cPZDIZ6tWrh/PnzyMtLQ0tWrSAQqGAr68vSpUqlTsbQ0TZktP9f/nyZdSoUQPAmyB469YtvHr1CrVq1dLef7VmzZq5sCVEeZ8oirh48SJUKhWUSiUuXboEa2trbRhs3bp1lsPgjRs30KJFCzg4OCA8PBz29vbZrien+19fMAACiEpIwcnHsUhJ03zxY5kbydCwuC1aNqiDa9euQRAEtGzZEnK5HL6+vihRokQOVExEOSU3+v+7/r2xdetWAG8CoEKhgFwuR7Vq1b54HUT5zaVLl7QjgxcvXkSBAgXQtm1bKBQKtGnTBhYWFp9c3tnZGUWLFs12CMyN/newynu7tTNj8AHw5osEnIuOz/HHjTp7FDdPHMGYMWNQrFixHH98IvpyudX/4qNbCFq7CpMnT85wByAi+rjLly9rRwYvXLiAAgUKwNvbG3K5HB4eHrC0tPzgck5OTrC3t0d4eDiKFi36yXXlVv/XLVoQFQtZ5fjj5jSDDoC59eKn05c3AZEhYv8T5W1Xr17VhsFz587BysoKXl5eUCgU8PDwgJVVxv5KD4FFihRBRETER0Mg+9+AA2BUQgqOPHie6+tpUcpOb4aDiQwF+59Iv1y7dk0bBs+ePau9wLpCoYCXl5c2DF65cgVOTk4oXLjwB0Mg+/+N7OQ1/Tmy8RPUaRqcfByrk3WdehwLdQ4cW0BEOYP9T6R/qlSpgokTJ+LMmTO4fv06pkyZglu3bqFTp06wt7eHXC7H1q1bUapUKURGRuLZs2dwcnJCVFRUhsdh/3+efDMCePpJLO7GJWXrTJ8vUc7GAg2K2epobUT0Mex/ovzj5s2b8Pf3h1KpxMmTJ2Fubg4PDw+0aNECCxcuhJ2dHSIiIuDg4ACA/f82g9sFnKBOxd5bMTpfb5sK9np5nSCi/IT9T5R/3b59W7ub+MSJEzAxMYFMJkPhwoVx+PBhFC1Vmv3/FoPbBXw7NhFfernVbb8uxPcdXN+brn6dgjU/TkLvr2qia/2KmDOkF549eQThf+slImnlZv/v27YJU3v4oXvDKvCrVgIJ8XEAwP4nymWiKCImJgaPHz9G0aJF4e7uDi8vL9jb20OtVuPRo0fo3LlzrvX/y9gXWPPjJIxo8zW61KuAQU6N8MesyUh4GZ9v+j/vxdds0ogibscm5trQ75+zp+Fk5H6MWrQS1raFsH7eTMwe3BPz/ffiVmwiqhexNpjbxhDlNbnd/6+Tk1DvG0fU+8YRmxfN0U4XAfY/UQ6KjIzEgQMHcP36de2/uLg47e9LliyJypUrw8vLC5UrV0bhwoXRuo0HTudS/7+IjsLz6Cj0/GEqSleqgphHD7Bq2ng8j47C2KW/54v+1/sRwLiUVKg1ItSvU/DHrMno07w2Otcpj0ld2+PGhbMAgIiAbejROOPFWo+F7YZftRLa329fvgh3rlyCX7US8KtWAhEB25DwMh4R/lvQe9xU1G3eEhVq1MbI+b/i3rUrOP/PIag1b+4tSETSyM3+BwDvXgPgO3AEqtRt+N662f9EOee7777D6tWr8eDBA9SpUwfjx4+HSqXCuXPn8OrVKzx48ACRkZFYvXo1xo4di759+8LSrkiu9X+ZKtXww69r0NjZHcXKlEPtr75G11HjcDJyP9JSU/NF/+v9CGBsshoAsGHBLBzdF4oRc3+BfYlSCFyzAj/274ple4988jFaeLbD/etXcObwAUz7880Hv6W1Na6dPYVUtRp1W7TSzmvnUAylK1fD1TMnUP8bR8Qmq1HI3CR3No6IPio3+z+r62f/E325s2fPZvve2br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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G, pos, x_train, x_test, y_train, y_test, \\\n", " input_nodes, function_nodes, output_nodes = simulate_3_in_3_out(n_train=500, \n", " n_test=100, \n", " noise_scale=0.1, \n", " device='cuda')\n", "\n", "plt.figure(figsize=(8, 6))\n", "nx.draw_networkx(G, pos, with_labels=True, node_color='lightblue', node_size=500, font_size=10, arrowstyle='->', arrowsize=20)\n", "plt.title(\"Dummy Graph: 3 Inputs, 3 Outputs, 5 Function Nodes\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 3, "id": "08f18e43", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n params 11218\n", "iter: 999 | loss: 0.225\r" ] } ], "source": [ "device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n", "\n", "data = nx2pyg(G, input_nodes, function_nodes, output_nodes)\n", "\n", "model = GSNN(data.edge_index_dict,\n", " data.node_names_dict, \n", " channels=20, \n", " layers=2,\n", " dropout=0.1,\n", " share_layers=True, \n", " bias=False,\n", " add_function_self_edges=False,\n", " checkpoint=False, \n", " norm='batch', \n", " residual=True).to(device)\n", "\n", "print('n params', sum([p.numel() for p in model.parameters()]))\n", "\n", "optim = torch.optim.AdamW(model.parameters(), lr=1e-2, weight_decay=1e-2)\n", "crit = torch.nn.MSELoss()\n", "\n", "for i in range(1000):\n", " model.train() \n", " optim.zero_grad() \n", "\n", " yhat = model(x_train)\n", " loss = crit(y_train, yhat)\n", " loss.backward() \n", " optim.step()\n", " \n", " model.eval() \n", " with torch.no_grad():\n", " yhat = model(x_test)\n", " loss = crit(y_test, yhat)\n", "\n", " print(f'iter: {i} | loss: {loss.item():.3f}',end='\\r')\n", "\n", "model = model.eval()" ] }, { "cell_type": "markdown", "id": "529dc228", "metadata": {}, "source": [ "## Explanations of *multiple* observations with `GSNNExplainer`\n", "\n", "\n", "The GSNN explainer method is inspired by GNNExplainer proposed by Ying et. al., however, our approaches diverges slightly in a number of ways: \n", " \n", "1. We use MSE rather than mutual information as the optimization objective \n", "2. We use gumbel-softmax to discretize edge weights [0,1] \n", "3. We focus on edge explanations rather than node or feature explanations \n", "\n", "```\n", "@misc{ying2019gnnexplainergeneratingexplanationsgraph,\n", " title={GNNExplainer: Generating Explanations for Graph Neural Networks}, \n", " author={Rex Ying and Dylan Bourgeois and Jiaxuan You and Marinka Zitnik and Jure Leskovec},\n", " year={2019},\n", " eprint={1903.03894},\n", " archivePrefix={arXiv},\n", " primaryClass={cs.LG},\n", " url={https://arxiv.org/abs/1903.03894}, \n", "}\n", "```\n", "\n", "GSNNExplainer attempts to identify a minimal subgraph that can faithfully reproduce equivalent predictions. This explanation can be used with multiple samples and targets. The resulting edge scores indicate the probability of inclusion: \n", "\n", "$e_i -> 1$ : indicates the edge is important for the prediction \n", "$e_i -> 0$ : indicates the edge is not important for the prediction \n", "\n", "NOTE: it is important to tune the parameters to ensure faithful predictions. Using too strong of regularization (large beta) can result in unfaithful predictions. We have included a `tune` function to adjust `beta` to a maximum value while maintaining an explained variance threshold (default: 0.7)." ] }, { "cell_type": "code", "execution_count": 4, "id": "6e07addd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "============================================================\n", "BETA TUNING - Starting from User's Beta\n", "============================================================\n", "Target: Find max beta with R² >= 0.700\n", "Starting beta: 1.0000\n", "Step size: 1.50x\n", "============================================================\n", "\n", "Step 1: Evaluating starting beta = 1.0000\n", " → R² = -0.0321, Edges = 2\n", " ✗ Poor performance! Searching downward for better performance...\n", "\n", "Trial 1: Testing beta = 0.6667 (direction: down)\n", " → R² = 0.5909, Edges = 4\n", " ✗ Still poor, continuing downward...\n", "\n", "Trial 2: Testing beta = 0.4444 (direction: down)\n", " → R² = 1.0000, Edges = 5\n", " ✓ Performance recovered! Optimal: β=0.4444\n", "\n", "============================================================\n", "TUNING COMPLETE\n", "============================================================\n", "Starting beta: 1.0000\n", "Optimal beta: 0.4444\n", "Change: 0.44x\n", "Final R²: 1.0000\n", "Selected edges: 5 / 9 (55.6%)\n", "============================================================\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "target_ixs = [0]\n", "\n", "explainer = GSNNExplainer(model, data, ignore_cuda=False, gumbel_softmax=True, hard=False, tau0=10, min_tau=0.5, \n", " prior=2, iters=500, lr=1e-2, weight_decay=0, beta=1, verbose=True, \n", " optimizer=torch.optim.Adam, free_edges=0)\n", "\n", "# res = explainer.explain(x_train, targets=target_ixs) \n", "tune_dict = explainer.tune(x_train, targets=target_ixs, min_r2=0.7)\n", "res = tune_dict['edge_df'] \n", "\n", "plot_edge_importance(res, pos, title='GSNNExplainer')\n" ] }, { "cell_type": "markdown", "id": "914b128d", "metadata": {}, "source": [ "## Optionally choose `node` or `edge` attribution" ] }, { "cell_type": "code", "execution_count": 15, "id": "37926a6c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "iter: 499 | loss: 2.9578 | mse: 0.0019 | r2: 0.999 | active nodes: 3 / 11 | entropy: 0.06778\n", "==================================================\n", "POST-TRAINING EVALUATION (nodes > 0.5)\n", "==================================================\n", "Selected nodes: 3 / 11 (27.3%)\n", "MSE (subset): 0.000000\n", "R² (subset): 1.0000\n", "Variance explained: 1.0000\n", "Correlation: 1.0000\n", "==================================================\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "target_ixs = [0]\n", "\n", "explainer = GSNNExplainer(model, data, ignore_cuda=False, gumbel_softmax=True, hard=False, tau0=10, min_tau=0.5, \n", " prior=2, iters=500, lr=1e-2, weight_decay=0, beta=1, verbose=True, \n", " optimizer=torch.optim.Adam, free_edges=0)\n", "\n", "res = explainer.explain(x_train, targets=target_ixs, target='node') \n", "\n", "plot_node_importance(res, G, pos, title='GSNNExplainer')" ] }, { "cell_type": "markdown", "id": "4800a13a", "metadata": {}, "source": [ "## Explanations of a *single* observation with `Integrated Gradients`\n", "\n", "\"What latent edge features are responsible for an observations predicted outcome?\" \n", "\n", "The returned edge attribution indicates: \n", " IGₑ > 0 adding edge e increases predicted value \n", " IGₑ < 0 adding edge e decreases predicted value \n", " IGₑ ≈ 0 edge e is irrelevant to the predicted value \n", "\n", "\n", "In some cases, injecting noise can help provide more robust explanations. More information [here](https://captum.ai/api/noise_tunnel.html). In this example, it is comparable to contrastive_ig. " ] }, { "cell_type": "code", "execution_count": 6, "id": "1985fc4d", "metadata": {}, "outputs": [ { "data": { "image/png": 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6func3out0-1.789540
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" ], "text/plain": [ " source target score\n", "2 func2 func3 0.911708\n", "3 in0 func0 0.263096\n", "8 func4 out1 0.000000\n", "1 func1 func4 0.000000\n", "4 in1 func1 0.000000\n", "7 func3 out2 0.000000\n", "0 func0 func3 -0.276778\n", "5 in2 func2 -0.298050\n", "6 func3 out0 -1.789540" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = x_train[[0]]\n", "y = y_train[[0]]\n", "target_ixs = [0] \n", "\n", "explainer = NoiseTunnel(IGExplainer(model, data), n_samples=100, noise_std=0.1, agg='mean')\n", "\n", "res = explainer.explain(x, target_idx=target_ixs)\n", "res = res.sort_values('score', ascending=False)\n", "\n", "plot_edge_importance(res, pos, title='IGExplainer')\n", "res.sort_values('score', ascending=False)" ] }, { "cell_type": "code", "execution_count": 19, "id": "27a14fb0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = x_train[[0]]\n", "y = y_train[[0]]\n", "target_ixs = [0] \n", "\n", "explainer = IGExplainer(model, data)\n", "\n", "res = explainer.explain(x, target_idx=target_ixs, target='node')\n", "res = res.sort_values('score', ascending=False)\n", "\n", "plot_node_importance(res, G, pos, title='IGExplainer')" ] }, { "cell_type": "markdown", "id": "d3847cf2", "metadata": {}, "source": [ "## Occlusion Explainer " ] }, { "cell_type": "code", "execution_count": 20, "id": "6b908037", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "y[tidx]-> -1.6586637496948242\n", "yhat[tidx]-> -1.2392131090164185\n" ] }, { "data": { "image/png": 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lohqPJrZHoqniU5uB2WYn2VToUV1ZllEoFCQf/ocFU28jMCiIQrMZS2EBt8x8mAtHjCIitnWN7SSbCukaEdxk/J/9HW9kWKrMU44c5rXZ9zL9uVfp2KO3q9xThAx9S21keOLwQZbMfQBLYSHWokIiW7XhkWXvERIW7lE7DS1DSYnHb/ySiFPnET6dGSQZCzz26JUkibycbF6fcx/Drr2BZz5Yz6sbNjP61jtY98ZrfL3qf6SePFFzOyX9CnyDNzJUKBSknz7FSzPuIv10Ci/cdydH/9qLQqHweKkPhAx9jbcyPJN0jPl3jKfX4KH89/X/cfeTC1Gq1Hyx4i1kWfZouaihZVi6z8DTQ1AzPlMGTlkmyVjglf9yUWEBVquF3hcPQx8RSUhYODc/8BA33DuTnZu+4cfPPqYwP7/aNmTguLEApwhTW2e8laHNamHz2tW079SV2a++RdcL+vHcPZO8VghChr7DWxkWFRSw7o3X6D/ycm578DHad+5Kv+GX0b5TF/7d+0fxcowHyywNLUNJofDqENSMz66SyWJ3bW33BFmWKcjLI99odL15WIqKp7ajb72DKyfdxder3uHYgf2u+lVhcxbHWBHUDW9lqNYE0KV3X/pfegV9h13KhPvn0P3CQbVSCEKGvsHr36HTiSEqmk49+wDnbEAXjrwcc54JS1EhDvs5uTSV36HH9gIvXFBbOj5TBsYim1f1JUkirks3uvW9kHeffQyb1UKANhBbSaLrq26/mwuGXsqnby3C4XDU+Hbibf+CitTmGvYbfhlDr7kegLaJnZhw34NlFMI+FAoFVksRSQf/xmat3gVRyLDueHsNtUFBjLzhZi698VaAc7YeWcZus6FUqlAoizOKWQoLmszvUHgT+R6fKoPaXPLr73kApVLJSzPuxlJYgFqjcXmmtEnsAIBSWX16OwnxIPEFtZUhnPMiatexM+Onzy5RCLdxeM9uVr/yHC/NuBurpWplIGToG7yVoSRJtE3sBLh7glktFux2Oyq1GkmSWPn8Uzwy/iocDkeVs4OGlKGYGfgenymDIoejxnXK0psoz5iDKTsLgMTzenLdXdPJTk9l4b2TKcjPQ6VWA5CblYU2UIfNaql2eiqX9C+oG97KMDcny1WuVCpdD5P2nbow4b4HOX/ARTx2y7VsWf8Js155g6CQ0KrbRcjQF9RVhqV/0wWHuMJWf/ja82xeu5p7n3kJpVJZ5eygIWUoSV7YDDxMj9nS8ZkfmMODdUpJkvht87dsePcNcjLSGHDZGC6bcCuXXDUWrU7H2qWvMv2yQXTp0w+n08mBXTtYsOYL1JqaA2J50r+gemojw0GXX8klV48jsXsPl0JQKpW0TuiAw+4gKFTPsx9uoF3Hzj7pX1A9dZWh60EvSehCQnlv4Ty++2gVz635kg7n9/RJ/77Aq3AUYmbgET5TBsoqLrgsy64b7Ohf+3hr3kOMuuk2NBotm9euJu3UCcbeNZ0LR1xOz0GX8OV7b5OTkU5AYCCTHnrCNYWtbf8Cz6m9DFMYfesUegwcjFKpxG6z8f2aVez9ZQvPrP7cI0VQXf8Cz/GFDAHyTTkc+3sfZ5KOsfDjL0k8r2ZFUF3/vsarfAYiuY1H+EwZaJVKtxjp27/5griu3V0P89SUZA7s+pUrb7uTG+6dCUCvwUN5Z/7DfP6/pVx1+1TOH3ARN06b5XXfUkn/grpRFxl+s3o5kiRx/oCLUKnVtIpP5KX1m2gdn+hR30KGvqGuMgToMXAwHc7ryQVDRzLxwcdo36mLR303pAzFzMD3+GwxzaBVu27ArNQzfPvhe2gDdQDkm4w8cdv1fLzkJUxZma5zOvboxd3zFpKVepZvP3yPPT9vqVXfckn/grpRFxlmnjnNdx+tZM/PWwG4YMgIjxUBCBn6Cl/IcN+vPxHZqg2zXnnTY0UADStDsc/A9/hUGZQSEduaJ5avIbJVG04cPgjAf19/h9DwCJIO/k3Swb9ddTv17MN/nnqR4//8xU9ffubaa1CX/gW1o64yPHZgPz99+SmWwtrtRBUyrDu++B1uWf8JVksRgUHeh6ZuOGUgvIl8jSTXNtxkOZyyzMajaW4bXgry83jsluto36kLdz2xgLPJx3ll1n/oMfBirp78H+K6dHPVPX5gP0F6AzFt23vdt1ohcWXHmCaXtNvfEDL0f5q7DHNzc9Hr9eweO4JgD+Mg5dvs9Pv8R0wmE6GhVXu0tXR8NjNQSMVJs8veBrrgEKYveJWzJ5J4/6VnaJ3QgVmvvMFfO3/hq5Vvk/LvIVfdxPN61uoGlIBEg048RHyAkKH/I2RYd3766SeuvvpqWrdujSRJbNiwocZztm3bRt++fdFqtSQmJvLWW2/V/0B9jE8X0xINugo+zh179OKep18k6Z+/WPXi07Tt0JlZr7zBP7t/45Olr3Dy6L916lMGEgy6OrUhOIeQof/TEmRYn8tEZrOZXr16sXTpUo/qJyUlMWbMGC655BL27NnDo48+yowZM/jss89q89UaDZ8qA51aRbw+sEJ5YvceTFvwqutGbNexC9OefYUzSceq3YjkCfH6QBH62IcIGfo/LUGGxQ95Tw3I3imD0aNH8+yzzzJu3DiP6r/11lu0b9+eRYsW0a1bN+666y6mTJnCyy+/XJuv1mj43MzeIyoUbSVp5kpvxBOHD/LWvIdI6H4+z6/bSHhMbK370ioV9IgSa4C+RsjQ/2nuMpQUnsclKlUGubm5boelmvAo3rBjxw5GjRrlVnb55Zeze/dubDb/CbHic2WgViro28pQ6d8Su/dg6ryFGDMysBYWEqCt+PbiDX1bGVCL/KY+R8jQ/2nuMqzNMlG7du3Q6/WuY+HChT4ZS2pqKjExMW5lMTEx2O12MjMzqzir6VEv87qYoAB6RYdWmoy7Y4/ePLH8IzQB2jr10Ss6lJigmsNUCGqHkKH/05xl6M3+gdJ6J0+edPMmCgjw3bjLx2sqddL0p5Sb9bbI1yGs2Ee5shvRFzdgafuC+kPI0P9prjKszQ7k0NDQenEtjY2NJTU11a0sPT0dlUpFRESEz/urL+rV4tMhLIhgjYo/zhop8jA5d3VoS6a+4m2y4RAy9H+aowybUjiKQYMG8dVXX7mVbdq0iX79+qFW+89Gynpf6IsJCuCyhCiXd4O3YimtH68P5LKEKPEQaQSEDP2f5ibD+gxHkZ+fz969e9m7dy9Q7Dq6d+9eUlJSAJg7dy6TJk1y1b/nnns4ceIEs2fP5uDBg6xYsYLly5czZ84cn33fhqBBfMHUSgUXxBroGhFMkrGA48aCkh2SMpIsIyOBJEFJZMVSH2m1QiLRoCPBoBOuh41M1TKEc2HRikOkSQgZNkWqk2FpHIKSnyEKiSYtw/qcGezevZvhw4e7Ps+ePRuA22+/nZUrV3L27FmXYgBISEjgm2++YdasWSxbtozWrVuzePFirr/+eq/6bWx8Fo7CG5xyca7U7Iw0srIzsCo0OJBQKpUEhcdi0KoxaNXoA1TNYkdjc6RUhmmmfNJMediQkGUJpUIiLCRYyNAPKJXh8QwbB1NtKJQOJElGqZDoFKNskjIsDUfxz93XEqLxbAkmz2qj+/++EOEoaqBR1LxCkgjTqgnRysSak1zlki4UXaznURIFjUepDDUODZr8c77UarWadrH6RhyZwFNKZRilVbPrXMIzgrXQp1fjjcsjpJLVBE/rCmqkacz5BAKBwAskyYtlIqEMPEIoA4FA4HfUZp+BoHqEMhAIBH5HU3ItbS4IZSAQCPwOMTPwPUIZCAQCv0NSeP7GLwld4BFCGQgEAr9DLBP5HqEMBAKB/6FQFB+e1hXUiLhKAoFAIBAzA4FA4H9IkuTx/gGxz8AzhDIQCAR+h/Am8j1CGQgEAr9DGJB9j1AGAoHA/5C8MCAL31KPEMpAIBD4H17MDBAzA48QykAgEPgdkqRA8vCN39N6LR2hDAQCgf+hkDx/4xczA48QykAgEPgdwpvI9whlIBAI/A7hTeR7hDIQCAT+hyR57iUkNp15hFAGAoHA7xAzA98jlIFAIPA/RKA6nyOUgUAg8DtEbCLfI5SBQCDwP8QOZJ8jlIFAIPA7hM3A9whlIBAI/I/ivJee1xXUiFAGAoHA/xA7kH2OUAYCgcDvELGJfE+DXiVZlpFl2av6gqaFkKH/I8vFh6c4hQhbBA02M3DkZWM58juyzYK6TRc0bbtUWddZZKbo0A7kwnxUsYkEJPRsqGEKqsFisZCelobdbsdgMBAWHl5lXbvdTurZs1itVkJDQ4mIjBQufk2ArDzYvA/yCqFHexjQueq65iL49s/iczq3hmHnN6HNvGKZyOc02MzAeuJv5CIzOOzYUg7gMGVUWk+WZSz/7kIuyAXZif3sURx5WQ01TEE1ZGdlYbPZkGWZnJwcCszmKuump6VhtVoByM3NpaioqKGGKaiGXUcgJx/sDtiTBElpVdfd8jdk5BbPDA6dhpTMhhtnTZQGqvP0ENRMo10l68mDlS4hOIxpOPNzGmFEAm/JycmpVIaFhYXi4e8n7D5W+ZJRag6cbEIP/wpIkneHoEYaTBmoItu6fXbmZiIX5rmVybKM7eRBtzJJG4QiOKzexyeomeDgYLfPFovF9fZflpzsbLfPSpUKrVZbr2MTeEanVu6fs/Ig1Vix3u5j7p91AdCm6lXBhkchnQtJUeMhlIEnNJwyiI5D0gS6ldmzz7hXcjoqzArUbbsKb4AmQnBICCqVu5kpPz/f7bPT6awwKwgzGIS9oImQGAth7jqdI2fdPzucFWcFvRNApazfsXmFmBn4nAZ7ykoKJepyRuPyMwNsFvdztEGootrV99AEHiJJEmFh7rM0u83m9tnpdLp9VqpUhISG1vvYBJ6hkKBfB/eyvEL3z1a7+2ddAJzXxH6Gwmbgexr0KlU2O3DD6XD7KGYFTY/KZgdlKW9DELOCpkdls4OyONz1edObFcC5HcieHoIaadCrVNnsoMq6YlbQJKlsdlAVYlbQNKlsdlAVTXFWABQv/Sg8PMTLiEc0uMqscXZQgpgVNF1qmh2UImYFTZeaZgelNMlZAed2IHt6CGqmwa+SJ7MDMSto2ngyOxCzgqaNJ7ODJjsrAM9nBd5sTvMzjh49yvfff09hYbHRp667/RtFZdY0OxCzgqZPTbMDMSto+tQ0O2iqswKgRdsMsrKyuPTSS+ncuTNjxozh7Nlid7C77rqLBx98sNbtNspVqm52IGYF/kF1swMxK/APqpsdNOlZAbRo19JZs2ahUqlISUlBp9O5yidMmMB3331X63YbTWWqouNApalQLmYF/kNwSAhKZcVXRzEr8B8SYyG4kv2ATXpWAF5sOPMiI1o53njjDRISEtBqtfTt25eff/65yrpbt251peIsexw6dKi237BKNm3axAsvvEDbtu4beTt16sSJEydq3W6jPXUlhbJYIZRFoRSzAj9CkqQKM4DKygRNF4UEPcv/DKUmPiuAel8m+uSTT5g5cyaPPfYYe/bs4ZJLLmH06NGkpKRUe97hw4c5e/as6+jUqVNtv2GVmM1mtxlBKZmZmQQEBNS63UbJZ+CUZUwWOzmhCWTmgQUFThSodCHo0vIwaNWEapSEBWpQlHvDlGVZvHU2AUplaJQ0nJYDsDhlZFkiIECNMS0Xg1aNQatGH6BCIUlCbk2QUhmGGGxExNiwyw4kScagk/grQ9m0f4f1HLX01Vdf5c477+Suu+4CYNGiRXz//fe8+eabLFy4sMrzoqOjMRgMXvfnDUOGDOH999/nmWeeAYpfwJxOJy+99BLDhw+vdbsNqgwKbHaOGwtIMhZgKwmSLmkicdnA7SCZCnDkOFEoFBhTT5N7/BABtgIGDxxIjx49kCQJh8NR6fKEoP6pVIYoXTLMszjJspyTob2wgE5RerpEGwhUKYVCaAJUJkO17tzDoBBINuGSYX52JurcTAKK8hg1cgTBwcGNL0dJ8iLtZfFYc3Nz3YoDAgIqfZO2Wq388ccfPPLII27lo0aN4tdff622qz59+lBUVET37t15/PHH6/RwroqXXnqJYcOGsXv3bqxWKw899BAHDhwgOzub7du317rdBlEGNoeTvzJySTYVIgFlHaDKO0M5ZRmFQsGJwweZP/lG2iR2JOngAeISE+l1XnfWfPQRSqVSKIQGxhsZOpzFD5FTx47w7rOPMezaGxk85lo6Rek5PzIETZNejG6+1EaGJw4f5JVZ/0Gj1ZJ88AD9LxnK0tdepd8FfRp3duCNYbikXrt27mtf8+bNY/78+RWqZ2Zm4nA4iImJcSuPiYkhNTW10i5atWrFO++8Q9++fbFYLHzwwQeMHDmSrVu3MmTIEM/G6SHdu3dn//79vPnmmyiVSsxmM+PGjWP69Om0atWq5gaqoN6VQZrZwu6zRiwle9xr8oSVJInC/HyWPTabi68ay21zHsNSWMiO7zfy3YcruODC/vz5+y6USiXOkhtWUL94K0OFQkH66VO8NOMu0k6mUGQ2ow4IgJFXkJpv4YJYPbGVWS0F9UZtZHgm+TjP3HULI2+4mUtvvAXZKTPv9huY98rrrHjnbWKCar8+XWe8MQyX1Dt58iShZexZNa2vl1d01Sm/Ll260KXLOQ/JQYMGcfLkSV5++WWfKwOA2NhYnnrqKZ+2Wa9P0mM5ZrafynbdgJ5SYM6jMD+P/iMvRxOgJcQQxvCxNzLlsWfJNJq4aOgw5JIZhKB+qY0MHQ4Hv23+htj28Ty/biOhYRF8/s4Sdv3wHXmFRfx6Ooej2fk1NyTwCbWRoaWokK9X/Y8+Q4Zzw70PEB7Tiui27bhx+mz2//YrPx493bgyrIVraWhoqNtRlTKIjIxEqVRWmAWkp6dXmC1Ux8CBAzly5Ejtv2MVvPfee6xbt65C+bp161i1alWt2623p+mxHDP70nNrrlgJuqAQZBkO7/3DVabWBNCt3wBuf3geZ9MzmfPEfB+NVFAVtZWhUqmkx8DBDLtuPPFduvPo2+8TFh3rUgg2q4X9GXluDxORK7l+qPXvUJZx2O106dMPtSbAtSSrj4gkz5iD3WplX3oux3LMZU5pHjLUaDT07duXzZs3u5Vv3ryZiy66yON29uzZU6dlm6p4/vnniYyMrFAeHR3Nc889V+t260UZpJkttVYEACqNhu4XDuDvnds5/s9frnKlUknvwUPp2KMXW3/ZTprZUk0rgrpQVxm279yNQZdf6fr8yLL3CI9uVaIQvsdmtbI/I4/31qxtfM+UZkptZSjLMgGBOm6Z9QiX3nALcC40eVhkFKHhEWiDio3I+9Jz+Wn3XqDiskq9Us+upbNnz+bdd99lxYoVHDx4kFmzZpGSksI999wDwNy5c5k0aZKr/qJFi9iwYQNHjhzhwIEDzJ07l88++4z77rvPZ1+5lBMnTpCQkFChPC4urkbX1+rwuTKwOZzsPmv0+rzSt4o8Yw5qjYZxU+/ndNIx1i57lTNJ59IuKVUquvTuS8aZU/z0bwo2L5egBDVTVxnmm9zPdTgcKFUqHlq63KUQdm7ayNvzHubBB+4n5dRpH4xaUJa6yFCSJPJysgkxhLnKSpdknU4nhfl5WEsSGH342vPMmHE/GVnZVbZZL0hebDirhTKYMGECixYt4umnn6Z379789NNPfPPNN8TFFW/KOHv2rNuD12q1MmfOHHr27Mkll1zCL7/8wsaNGxk3bpzPvnIp0dHR7N+/v0L5vn37iIiIqHW7PlcGf2XkYvXyAV16A+7esplFc6azb/s2YtvH89jb73Ng1w7ef+kZ9vy81VU/6eDfhEfH4lCq+Cuj9m+vgsqpqwxfe3AaB3btwGYtnrkplUocdjsqtZqHl60gIrY1S+fO5KevPuPRt94nS+1B+EyBV9T5d/jf+1wyLPvGb7fZKMjPR6GQ+HjxS3yx/A1umf0YJ20NbL9rgHAU06ZNIzk5GYvFwh9//OFmCF65ciVbt251fX7ooYc4evQohYWFZGdn8/PPPzNmzJi6fstKuemmm5gxYwZbtmzB4XDgcDj48ccfeeCBB7jppptq3a5PJWi22Uk2FdboqVAeSZL4/cfveXX2PXTr25/wmOJ1tviu57Hgww1kp6Wy+pVnuX/0JSz4z2389OV6Jv33cTQBWpJNhRTY7DX0IPAUX8nQEBmFWnPOQKdUqVwzhMhWrdHqgln4yUYSz+spZOhj6kuGACq1hlbt4/lo0YtsePcNFn78NR179Gp4GbbgQHXPPvssAwYMYOTIkQQGBhIYGMioUaMYMWJEnWwGkuxDq8/fGbkcyTZ7fROasjJ55q6bufjK67jurumucrvNhkqtJjstleP//MVfO7cT2ao1FwwZQZvEjsVfAOgcHsR5USIEgi/wtQzL2wO+W7OKd59+lBc/+47E7j0AIUNfU58yPPrXXh4ZfyVBoQbmrVhD4nk9gYaTYW5uLnq9nrTP3yA0qOa8KAC55kJixk7DZDK5uZb6O//++y/79u0jMDCQHj16uJawaovP9hk4ZZkkY4HXNyCAzWrBnJdH1wv6A+fWnlVqNbIso4+Mot/wy+g3/LIK58rAcWMB3SJDKmyZF3hHfciw9CFiKSokQBvIxWOupffFw4htd+7GFTL0HfUpQ7vNRmSrNnTu3Zd7nn6J9p3O+dU3uAxrsc+gudG5c2c6d+7ss/Z8pgxMFrtra7u3SJJEbnYWaadS6HrBha5YG5IkcfzAX5jzTJw/YHCV+wpszuIYK2FadV2+QounvmR47O/9mPNM9Bh4McF6A8F6Q4XzhQx9Q33KMM+YTe+Lh/HUqk9RaypGHG5IGcqShOyh0vG0nr/gcDhYuXIlP/zwA+np6S5Pr1J+/PHHWrXrM2VgLLJ5VK90yll26hlsCKPvsEvZumEtkbGtOa//INeD/8f1H5OTkU6XPv0I0FY9LTQW2cSDpI7UrwzThAwbgPqWYbe+/dE0BRnWIjZRc+GBBx5g5cqVXHnllZx//vk+c+n1qTIoH++kPKU33r7t29i7fRtFZjNXT55K64QOXH7TJNYsfpFPlr7C4DHXEB4dw95ftvHz15/zzAfrq32ISHj+IxBUjZCh/1PvMgysGDq5lAaVoTeG4WZmQP74449Zu3atz72VfKYMihwOj+IO7fl5C89Pm0yfISM4eeQwOzdtZMqjT3PJ1eOYNOdxtny+lo9eex5DVDRBIaE8/f6nxHXpVm27ckn/grohZOj/tBQZtuRlIo1GQ8eOHX3ers+UgaOadcrSNxFzrom9v2zlriee47LxtwKwdO5MVr7wFA6nk2HX3kDn3n25dfZcZKcTlVpDYLBnPujV9S/wDCFD/6fFyLAFzwwefPBBXn/9dZYuXerTXd8+UwbKahJISJLEkf17ePG+OwmLjqH3xedifN+3cBHLHp3FBy89g0KhoO+wSys1MNalf4FnCBn6Py1GhrUIYd1c+OWXX9iyZQvffvst5513Hmq1u41m/fr1tWrXZypTq1RS3SXv1LMP7Tp14fiB/aSdOoGjzHRy+nOv0W/4ZSx7dDZ7f97idcArqaR/Qd0QMvR/WowMGyAHclPFYDAwduxYhg4dSmRkJHq93u2oLT6bGRi0amRTxfKUI4exFhXSsUdvnly+hmfvvpV1y16lVVwC5w8Y7IqGeO8zL6NSa0jo3sPrqY9c0r+gbggZ+j8GrRrZKFd4G25uMmzJNoP33nuvXtr1mcosfxPIsowpK5OX7r+Tr1a+w7G/iwMrPf6/D2nXqQtLH5nJ379td3szufvJ52gdn+iT/gXeI2Tov8gOB6kbNnNy5lNuiqDZyrAFh6OoL3x2lRTWQtRl1gslSUIfEcmE++eQcuQw361ZydG/9gEw/721tOnQkTcfn8O+7dvcbsTaoFZI6AMaNJ1zs0TI0P+w5eZzfNFKtnS9jD9uvI/UjzeA6VzwxuYqQ1lSeHU0Nz799FPGjx/PwIEDueCCC9yO2uKTqzR16lRmzZxJW50KieLQA6VcfOV1jJ8+m3/3/sGmT953vZnMf28toeERrHrhKezW2uclkIBEg06EMagjQob+hflYCgdmL+DH+CEc/O9CCpNPs8SRxv+sqTjXrAeHo3nLsAGiljZVFi9ezB133EF0dDR79uyhf//+REREcPz4cUaPHl3rduusxj/++GM2bNjApk2b6Bxt4NufvmHPz1sYPm6CK/7MoMuvBFnmvefnYbNauXryVBK79+DFT78l48ypajey1IQMJBhqf75AyNBfkGWZ7J9/J2nxKtK+/AHKGHi3OXPZKefzjLIN2s++ZX//7uz5eWuzlaGM52/8cv1m921w3njjDd555x1uvvlmVq1axUMPPURiYiJPPvkk2dm1zytRZ2Vw8uRJIiIi6N27N99//z2LZt9DUVERTqeTy8ZPJLpNWwAGXXEVOZnpfPTa8zjsdq6dci8dzu9JVOu2deo/Xh+ITi2WF+qCkGHTxmGxcnbtNyQtXkXu3n8qrZOJnRCU9L6gLyeG92TRrHsosliEDJshKSkprvSbgYGB5OXlAXDbbbcxcOBAli5dWqt266wyhw0rTk4/YsQIxowZwydr1nD7g4+ydcM6Nn38PumnTrrq6iMiiW7bnuy0s4RHe55Yuiq0SgU9RNjjOiNk2DSxpGdx5NmlbOkwnH1THq5SEaBQMGz4cLTtWzEv2MjtLz/DJx9/3Lxl2IKXiWJjY8nKygKKU13u3LkTgKSkpDrloa6zKr/wwgsZOXIkb775Jv3792f4sKF0v3Ag5sJCvlj+JgCXXDWWuC7dSPn3EKNuuo1LrhpLUEjdb56+rQyolc1rCtgYCBk2LXL3HyJpyfucWfMVTou1ynqq0GDaTbmR+Gm3oktox2/Tp7ccGbbgQHUjRozgq6++4oILLuDOO+9k1qxZfPrpp+zevbtOaTbrnNymsLCQq666isTERH799Vd69uzJmjVrOJZjZuGri9j0yQfYrFb0YeGc+PcQCz/+ivadu9alSwB6RYfSISyozu0IhAybArLTSfq320h6fSVZW3ZWW1eX2I74+ybRbvI4VCHFYSJaigxLk9uc3PoZocGe9Zubb6bdsOubTXIbp9OJ0+lEpSp+l1+7di2//PILHTt25J577kFTSXhxT/BJprOCggJ0Oh0rVqzgxRdfpE+fPq4b8f3Pv+LksSOYsjIZdu0NrgxltcLpAIWS6K/WMGDK7ajDa5/8WeBOg8kQGZBop7TRJ76164ZuqdjzzZxa9TnJyz7AfCS52rrhQ/uTMON2Yq4cjlTJTt+Gk2ExjaHMXcpg2+feKYOhY5uNMkhJSaFdu3YVNgXKsszJkydp3759rdr1adrL/Px81q1b57oRP/roI9LMFv44a6TIy+TcFXA6UOaZiFr9BrpD+wnu1YcOz79W6Y9CUHvqVYbIqJBpr7ASqnASoNXSunVrnwbb8hcKTpzmxBurSVm+Drspr8p6Co2a1jddTfz9k9D3rj5qaCn1K8NiG0HfVgZiggJqruxjSpVByrYNXimD9kOvazbKQKlUcvbsWaKjo93Ks7KyiI6OrvV+EZ++lgUHBzN+/HgAXn31Va655hq+/PJLLkuI4q+MXJJNhTXGWi9Paf3wowcI/d8rKEp8p/P37SH1/RW0uuNuX36FFk99yjBaLRHjLERZ8uy3FBWRnZVFRGSkj79F00SWZXJ27CF5ySpSP9+MXM2PVhMVTtw9t9B+6k1oY6O86qc+ZRivD6RHVGij23m82UzW3Dadlc8rXkp+fj5arbbW7fp8jh4UFMT48eMpKipi5cqVnDlzhtatW3NBrIGuEcEkGQs4bixwpeYrf1OW/axWSCQadCQYdGhiB3B4TQi2Mhtp0ta8T9B5PQjtP9DXX6NFU18yDFBInD51Crvd7qprMpnQBgYSFNR8bQdOm42zn31P0usrMe3+q9q6IT26kPDAZFpPuBKltvZv3vUlwybjPtoCQ1jPnj0bKN5V/sQTT6DTndvX4XA4+O233+jdu3et2/fpMlFZCgoKsNlslUbRc8rFuVKNRTaMRTaKHA4cThmlQkKrVGLQqjFo1egDVG47Gs3//M2RB++DMm9UylA9Xd5YjsYHLnICd+pDhhaLhdOnTrm1pVAoaNO2bYVQvP6ONSuHlHfXcuLNDyk6nVZ1RUki+sphJDwwmYihA3y6bFYfMmxMSpeJkn/Z6NUyUfzFV/r9MtHw4cUhx7dt28agQYPcDMUajYb4+HjmzJlDp06datV+vSmD+iL9s08487b7pgpdt/Po+PISFM3sYdJcyTWZyMzMdCvTaDS0btPGlXPXn8k7eIzkJas4tfoLnIVFVdZTBuloN/l64qdPJKhTfMMN0I8pVQZJ27/1ShkkDB7t98qglMmTJ7NkyRJCQkJ82q7f/fKixo1HP3iIW1nBwQOcXf5WI41I4C0hoaEElcucZbVayS7ZSOOPyLJMxqaf2XXVXfzUcwwp//ukSkUQGNeGbi8+zMjkbZy36HGhCGpDC910ZrfbWb16NSdOnPB5201kAdBzJEmi3YOPUHj8KNazZ1zlGevXEnR+LwwXD6nmbEFTQJIkoqKisFos2GznEqjn5uai1WoJ9vEbT33iKCjk1OovSF76PvkHj1VbN+yiC0h4YDIx14xE0cJdauuMN9FIm4nNAEClUhEXF1fnCLOV4ZdXSRUcQvzjTyOp3TdXpLz8HJYzpxtpVAJvUCgUxMTEVFgfz8jIwGqtetdtU6HodBqHHn+VHxKG8ff0eVUqAkmlovXNVzP413VctG0NrcZdLhSBD5CRvDqaE48//jhz586tU1C6yvA7m0FZMr/+glOLX3YrC+zYiU6L3kShaXgfaIH35OXmkpGR4VamVqtp07Ztk7QfGH/fT9LiVZz99DvkMl5R5VGHG2g/9Sbi77kFbRvh3OArSm0Gx3b+QIiHNoO8fDMdBo5sNjaDPn36cPToUWw2G3FxcRU88f78889atevXrygRV16D+e995Py42VVWePQIp99cQrsH5jTiyASeEhIaSlFRkSvyIoDNZiMzM5OoqKgmsSHNabeT9sX/kfT6SnJ27Km2bnD3jiTcfzttbrkapS6wgUbYApHw3BbQ+LeQT7nuuuvqpV2/VgaSJNH2gTkUHP0XS8o5g0rWxi8IOr8n4SNHNeLoBJ4SERmJxWJxWx7Kz8tDq9U26puczZhLyop1nFi2msKUM9XWjbpiCAkzbify0sFNQoE1d2QUHucpaG75DObNm1cv7fq1MgBQBupIeOIZ/r1vKk7LOe+NU6+/jK5TZ7Tt4xtvcAKPUCgURMfEcPrUKbcQvFmZmQQEBBAQ0LBLfuYjySQt/YBTq9bjMBdUWU8RqKXtbdcRf98kQrp1aMARCmRJ8jjRvaf1/I0//viDgwcPIkkS3bt3p0+fPnVqz++VAYA2LoG2DzxIyosLXGXOokKSn3mCTovfQRkoputNHY1GQ1R0NOlp5zZnybJMelpag9gPZFkma+tOkl5fRfo3W92yiJVH2yaGuGkTaX/XeDThhnodl6ByWnI4ivT0dG666Sa2bt2KwWBAlmVMJhPDhw/n448/JirKu/AlpTSbqxR+6RVEjL7arazoRDKnlrxSp4QPgoYjODiY0HI7ZW02Gxnp6fUmQ0eRhZPvfcrPF1zDb6Mmk75xS5WKwHBhT/qsfpXhR36g40NThSJoRFqyN9H9999Pbm4uBw4cIDs7m5ycHP7++29yc3OZMWNGrdttFjODUtpMe4CCfw9ReOyIqyzn/74nuEevCopC0DSJiIjAUlSExXIuObvZbHZ5kfiKotQMUt5ew4m312DNqNpFT1IqiR03ioT7bydsUN2m4QKBL/juu+/4v//7P7p1OxfFtnv37ixbtoxRo2pvJ21WykAREED8409zePqdOAvOrfWeWrqIwM5d0XWoXcwOQcMhSZLLfuB0ngu3XGo/qEtURgDT3oMkvb6SM59sRC6z4a08KkMo7e+8kfhpEwls37pOfQp8T0teJnI6nZXG8VKr1W6/GW9pXlcJCGjTlvYPznUrk21Wkp95Eoc5v5FGJfAGtVpNVLlY7QDpaWm12nkpOxykfvF/7Bh5G79ceB2nV2+oUhEEdYrnvMVPMjJpK92ef0gogiZKqQHZ06M5MWLECB544AHOnDnn4Xb69GlmzZrFyJEja91us1MGAIZLhhE59ka3MuuZU6S88rywH/gJQUFB6A0GtzK73e6V/cCWm0/S4lVs7X45f9wwneyfdlVZN3LkRfT74m2G/v0t8ffeisrDDU2CxqEl2wyWLl1KXl4e8fHxdOjQgY4dO5KQkEBeXh5LliypdbvNapmoLK3vupeCgwcoOPSPq8z0yzYyN3xG1NgbGnFkAk8JDw/HUlREUdE5l+GCggJMRiOGsLAqzytIOknystWcfO9T7LlVzwYVARra3HIN8fdPIrRHF5+OXVC/tORlonbt2vHnn3+yefNmDh06hCzLdO/enUsvvbRO7fp1OIqasKancfjeKTjycl1lkkpFx1eWEtTtvEYcmcBT7HY7p0+dqrA81Kp1awLLuAzLskzO9j84/vpK0r78AapZOw2IjSLu3ltof/dNBESF19vYBb6n1JHg7z93EVIu8m1V5OXnc/4F/ZtNOIr6onmpzHJoomNo/9BjbmWy3U7ygnnYc02NNCqBN6hUqgq5XqHEfmC347RaObV6A78MuJ4dw28lbcPmKhVBaO/u9HrvBYYf/ZFOj04TisCPkVG4Zgc1HrV8zL3xxhskJCSg1Wrp27cvP//8c7X1t23bRt++fdFqtSQmJvLWW/UXVv+HH37gqquuci0TXXXVVfzf//1fndps1soAQD/gIqJvmuhWZktPI+XFZ5HrYHkXNByBOh1h5ZaFLBnZ7Hv8FX7sMIJ9dzxM7p4DlZ8sScRcdxkDf1zNxbvW03bidSgDNJXXFfgN9W0z+OSTT5g5cyaPPfYYe/bs4ZJLLmH06NGkpKRUWj8pKYkxY8ZwySWXsGfPHh599FFmzJjBZ599VtevWoGlS5dyxRVXEBISwgMPPMCMGTMIDQ1lzJgxLF26tOYGqqBZLxOVIjvsHH14Fub9e93KW035DzHlFIWgaSLLMqlnz5Kz7yA5H3yB6cstyJaqQ12rQoJod8cNxE+/DV1iuwYcqaA+KV0m2rfnT48zfeXl5dGrzwVeLRMNGDCACy64gDfffNNV1q1bN6677joWLlxYof7DDz/Ml19+ycGDB11l99xzD/v27WPHjh0e9ekpbdq0Ye7cudx3331u5cuWLWPBggVuXkbe0OxnBgCSUkX83HmoDO5vl2dX/o/8/dVHoRQ0PrLTSfq32zhxx6MkXTMN47rvq1QEgQlt6f7Ko4xI/onurzwqFEEzpTYzg9zcXLej7MbGslitVv74448KG7hGjRrFr7/+Wuk5O3bsqFD/8ssvZ/fu3W4JnHxBbm4uV1xxRYXyUaNGkZubW8kZntEilAGAOiKSuLnzoGyMG6eT5OfmY8vxbZIIgW+wmwtIfvNDtvUYze5r/0PWj1W/YYVdciF9P13G8IObSJhxO+pQz4yLAv+kNvsM2rVrh16vdx2VveEDZGZm4nA4iIlxz0MRExNDampqpeekpqZWWt9ut1fI911XrrnmGj7//PMK5V988QVXX137SAvN1rW0MkL69CX2timkrnrXVWbPzubEwqfosPBVJKWyEUcnKKUw5QzJb35IyrtrsRuredNRq9CPGULYpOsw9D2fmNatRfjoFoIsS8iyh1FLS+qdPHnSbZmopmi45e8lWZarvb8qq19ZeV3p1q0bCxYsYOvWrQwaNAiAnTt3sn37dh588EEWL17squtNrKIWpQwAYm6+DfOB/eTtPrcBKX/vn6R+8B6tJt/ViCMT5OzcS9LilaSu34RczU5jTVQ4EbdcTfANl6Eq8QiyFBWRnZVFRGRkQw1X0Kh44yVUXC80NNQjm0FkZCRKpbLCLCA9Pb3C238psbGxldZXqVRERER4OE7PWL58OWFhYfzzzz/888+5fVQGg4Hly5e7PkuSJJRBdUgKBXEPP8Hhe6dgyzyXbjHto1UEndeD0AsHNOLoWh5Om43U9ZtIWrwK46591dYNOb8zCTNup/XNV4NaxelTp7CXST1pMpnQBgZWSAMoaH544yXkrTeRRqOhb9++bN68mbFjx7rKN2/ezLXXXlvpOYMGDeKrr75yK9u0aRP9+vWrNI5QXUhKSvJpe6W0GJtBWVR6A/GPPQXlloVOvPAM1vS0Ks4S+BJrtpFjL73Dls6Xsmfi7GoVQfSVwxmwaSWX/Pkl7e64AaU2AKVSWelbWkZ6us8NdoKmR327ls6ePZt3332XFStWcPDgQWbNmkVKSgr33HMPAHPnzmXSpEmu+vfccw8nTpxg9uzZHDx4kBUrVrB8+XLmzPGf9LstbmZQStB5PWh95z2ceWeZq8yRayL5ufl0enkJkqrFXpp6Jf/QMZKWvM+pDzbgLCyqsp4ySEfb28cRP30iwZ0TKq0ToNUSERlJVhkDndPpJC0tjTZt2gj7QTOmPmcGABMmTCArK4unn36as2fPcv755/PNN98QFxcHwNmzZ932HCQkJPDNN98wa9Ysli1bRuvWrVm8eDHXX3+9133XhCzLfPrpp2zZsoX09PQKkUrXr19fq3ZbxD6DqpBlmeSnHsP0q/vOwqjrJ9DmP/dVcZbAW2RZJvP/tpO0eBUZ3/1Ubd3A9q2Jmz6R9nfcgDqs5vwFsiyTnp6OOd89BlFoaCiRtcz4JGi6lO4z2LXnIMEe7jPIz8ujf59uzSYcxYwZM3jnnXcYPnw4MTExFV563nvvvVq126JffyVJot2cuRROO4o19ayrPOOzTwg6ryeGi4c04uj8H0dhEac//JKkJavI/+dotXXDBvUhYcbtxFx3GQovZmWSJBEVFYXVYnFbHsrNzUWr1Xr8wBD4F7XxJmourF69mvXr1zNmzBifttuilQGAKjiE+Mef4cise91i3Ke8spDADh0JaCXi2XtL0Zk0kt/8iJT/fYwty1hlPUmlotUNV5Bw/+0Y+vesdX8KhYKYmBhOnz7tFt46IyMDTUAAGo0IP9HcqO9loqaMXq8nMTHR5+22SANyeXSdu9DmXncXLKc5n+RnnsBpdd+l6LRayNv7JwVH/23IIfoFxt1/sWfSHH7sMIJjz79VpSJQhxvo8PB/GH7kB/p88EqdFEEpmoAAIsu5lcqyTFpaWoU1VVmWKSwsxFJUtc1C0LRpyfkM5s+fz1NPPUVhYaFP223xM4NSIq68lvy/9mHcci7yX+HRfzn91hLazSj2CJCdTpLmP+rao9D6P/cRff2ERhlvU8Fpt5P25Q8kLV5FzvY/qq0b1DWRhPtvp+3Ea1HqAqutWxtCQkMpKioiLy/PVWazWsnMzHRFPpVlmbTUVApK0qKGh4dXmxtBIGhq3HjjjaxZs4bo6Gji4+MruK7++eeftWpXKIMSJEmi3cz/Unj0CJaTJ1zlWV9/QfD5vQgbcRm2zAy3zWppaz4gatz4Fum1YjPlcXLFOpKXrabwxOlq60aNupiEByYTeelgJEX9TkYjIiOxWCxYrediF+Xn5RGo1RISGorT4XApAoCcnBz0BkOLlKE/05KXiSZPnswff/zBxIkTKzUg1xahDMqgDNQR//jT/DtjKnKZIFYnF71EYMdOKAJ1bvUduSasqWdblF3BfPQEyUs/4OSqz3DkF1RZTxGope3Ea4m/bxIh3Ts22PgUCgXRMTGcPnXKzX6QmZmJJiAAVTnjtCzL2Gw2YVfwM2S8MCA3M2WwceNGvv/+ey6++GKftitsBuUITEik3f0PupU5iwpJfuZJFEHBKEPd3R0Lj1XvJdMckGWZzK072T3uXrZ2v5zkZR9UqQgCWkfT5dnZjEzaSo83nm5QRVCKRqMhqlxCHFmWSU9LQ5IklOU2G1qriF4paLo4kbw6mhPt2rWrFxdZoQwqIXzUaMKvuNKtrOhEEqeXvkZgovvDrfD4kYYcWoPiKLJwctV6ful3Hb9ddjtpX/0IVWxL0ffrQe8PXmHE0R/p+PB/0EQ07jp8cHBwhR+MzWYjIz0dTbkAZRZr1XkRBE2TlmxAfuWVV3jooYdITk72abtimagK2k6fRcG/hyg6fsxVlvN/3xHS90K3eoVHm58ysKRlcuLtNZx4ew3W9KyqKyoUxI69jIQZkwkb1KfJrbuX2g/Kxq03m81uuZNBzAz8kZa8z2DixIkUFBTQoUMHdDpdBQNydnbtQvILZVAGuzGHjA2fgSxjGDqchCee4fD0u3CWMTjm7XW31Bceaz7KwLT3IMlL3ufMx1/htFYd30elD6H9nTcSN20iurg2DTjCmnE4HJhMJpBlgoKDXfaDsu6l5V3yLBZLjeGJBU0LGc9tAc0txMKiRYvqpV2hDMqQvGAe+fuKM5+lrXkf/eAhxNxyO2ffPZf6jnKhlW0Z6dhzTahCaw6d0BSRHQ7Sv9nK8ddXkr1tV7V1dR3jSLhvEm1vH4squGlGBk1PS3M97I1GIzqdDkNYGNlZVc9wnE4nDoejgnFZ0HRpyTOD22+/vV7aFXd/CbLDgfmfv93KTNt/wrT9JzSxrdzCVZSn8NhRQvr0re8hVorscOAoKEQZHOTVm609L5+TK9eTvOwDCo5VnuS7lIjhA0l4YDLRo4fWu2toXZBlmaJyG8kKCgooKChApVK5hbsuj9ViEcrAj2iJrqWeprSsrXFZ3P0lSEol+osuwbjtxwp/q04RQPFSUWMog4ITp9lz80yMv+8n7KIL6Pf5m2jCDdWfk3yK5GWrObliHfbc/CrrKQI0tL75ahLun0Roz64+Hnn9IEkSQcHB5JfZdFZKdYoAio3IOpEHwW9oiTMDQw37YUqXOh3VJIaqDqEMytD+ocfRxiWQ8flaHJU8UKqiMewG9rx8dl97D3kHisNi5Pz6J2fXfkPcPbdUqCvLMjnb/yBpyfukbtgM5cIzlCUgJpK4e26m/dSbCYj2bYamhiAqKgq1Wo3JaKwQhqI6fGVEFraHhkEGPJVuc7EZbNmypV7bF8qgDAq1mtiJk4kaeyOZX64n/bNPcOSaajyv4Mhht89OWcZksWMssmEsslHkcOBwyigVElqlEoNWjUGrJkStQFVJ3uWaHiiyw8Ge2+a4FIFr/AHuG6ecVitn1n1L8uJVmP48UO13CO3VjYQHJtNq/BiUAf67AUuSJMLCwtDr9eSaTBg9VAqWcsrAWxkWFRWh1WqRJEkohAagJc4Mhg4dWq/tC2VQCcqgIGJuvo3I664n66sNpK9bg91krLK+JeUETquFIknJcWMBScYCbM6SZNi4v5lIgGwqNloGqJRo87M4sfd38k1GBg0axIABA2p8kBx67BXSN7q/JQR370jrCcV7I6yZ2Zz43yecePNDLGczKmuiZDASMdeMJGHG7YRfcmGzeoApFAoMYWGE6vXk5uZiMhqrnT7b7XacTidFDqfHMgRQKyScaSksefpxHpw1i9GjRwuF0AC0RJtBfSOUQTUoA3VEj7+FyGvGkbnxC9LXfYS9Eh9epzaQXf+mcEYdXOHBUX6KKlOsCBQKBUcP/sOC/0ykTWJHkv/5i149evLaa6/St2/V9oeTq9Zz/JXlbmXqCAMXfv4WBUmnSFryPqc//AJnUdXLHspgHe3uuIH46bcR1KF9zRfCj1EoFBgMBkJDQ8nLy8OYk1OpUnDI8PvpLE4X2D2SYSk2p8ybi19nx46dLHC+ht3h5OqrrhQKoZ5piTOD+kYoAw9QaLVEXz+ByKuuI+vbr0hb8wH2nGKlUNC1JxkTp+NQFxsfPVmfVCgUnD5+lKfvupmR19/MjdNmkm8yMee6S9m5d7+bMihVHADZ2//g72lPurUlqVQkPngnf02fR+b/ba+238D4NsRPn0S7O65HrW9ZSV8UCgV6vZ6QkBDy8/LIKaMUcp0KUpwa7AXFRmZv15i1uiDaJHbEodTw+IKFmCw2Jl5/nVAE9YiYGfieFp32srY4rRZSV6/iaHo2mWNvB9kJkucul5bCAlY+/xROp5O7n3wOhVKJQqHglVn/oV2HzkQGKBnYuwe33nqr6w2z8MRptl90I9YM95mJJiYSa1pmFT0VE37JhcVZxK4egVSJjaIlIssyOTk5HM3K45SzbjaSHd9v5HTSUS4YMoI1r7+I3WblyflPc2jXdm6++eZ6SUTSUilNe/nNzjMEBXvmQmnOz2XMwNbNJu1lfSFmBrVAoQmgcOytZKaX+P16oQgAFEol/UaMIiImFlXJVvJ1b7zGzu83or46gP2nT/Lj99+ya9cuFi9ejMNcwO6x91ZQBECVikBSq2k9fgwJ909C3/d8775gC0CSJHKkAE456+5FpAsOZveWzdxwzwNcd9d0vl29gqm33UJOeipTpkwBhJeRrxEzAzh69CjHjh1jyJAhBAYG1vkeE8qgFqSZLexL92wDSHlkWUatCaDXRUNciuDk0X/5csVbPLR0OReOuByANYtfZMu2LaSePcup+54h72/PMqtpIsNoP/Um4u65BW2r6JpPaKHURYbliW7bHrnEY+m8Cwfy2VuvY8410rFHb379cx/XX9lKKAIf05JtBllZWUyYMIEff/wRSZI4cuQIiYmJ3HXXXRgMBl555ZVatdt0t5M2UWwOJ7vPGmt1bqnmzjcZUZRZrmnXsTNLvvuFC0dc7lrHjm0Xj8lcwMH/vkjalz/U2HZQx3i6vvAQQ/ZtpPO8GUIRVENdZQiQbzrnstoqLoHAoGDST51k8cMzOHnkMHfMfZqI2NY8/PDDfL9ps6+GLihBlr07mhOzZs1CpVKRkpKCTncux8qECRP47rvvat2uUAZe8ldGLlaH55uZSilVBLu3bOa1B6dxYNcObGXyK+sjivP3lsbaTzr4N206dCK9QweP2jcfTebQwy/yf20u4httd34ZMI6cHXu8HmdLwJcytBQVYrfZcDqdPDLhSg7s+pVH336fy8bfyqgJE2kVn4g9LKYevoWgpbJp0yZeeOEF2rZt61beqVMnTpw4UcVZNSOUgReYbXaSTYW12tEoSRK///g9r86+h259+2OIjEKtCXD7O0BRQQEfvvY8P3+1ngn3/xf1TWORW3n5MJFlTH8eYN/UR2sx0uaNr2UYoA1EpVYz+pbJxLaP56ElK0joVmyj6TV4KNOefRlLaBQFturDYQi8oyUntzGbzW4zglIyMzMJKJerwxuEzcALkowFFXzQPcWUlcknS15m/PTZXHfXdFd5WaPP7i2b2fHd1/z9+688sXwN7Tt1AYcDx41XoVq8vKqmq6S62EMtlfqSYf/LRtNz8BCCQkJdZZIkERCoQyrp97wo4cniK1qyzWDIkCG8//77PPPMM0DxS4rT6eSll15i+PDhtW5XKAMPccoyScaCWsc5sVktmPPy6HpBf+Dc2nNZw2KnXheQfiqFG++bTWy7uOJCpRLnrdcT/vc/qEODcZgLceSbseeZsZf868gzV8g/oNCo6brAPX1nS6c+ZCjLMgqFAqVS6XIIAHe5ysBxYwHdIkNQCEOyT/DGFtDcbAYvvfQSw4YNY/fu3VitVh566CEOHDhAdnY227dXv9eoOoQy8BCTxe4KT1AbJEkiNzuLtFMpdL3gQpc2lySJY3/vJ8+YTe+LhzF64pQKnidykI6uX/yPMK26itaL4xDZ80qUQ34BgQltUQVVnEq2ZOpDhqVK/djf+zHnmeg56JJKz7U5i2MdVSdDgee0ZNfS7t27s3//ft58802USiVms5lx48Yxffp0WrVqVet2hTLwEGNR1Zm/ylO6RFB2CSjYEEbfYZeydcNaImNbc17/Qa6dxT+u/5icjDS69e1PQGDlD3Bjka3aB4lCo0EToWn03MNNmfqXYTpd+vQjQBtYaZs1yVDgOU65+PC0bnMjNjaWp556yqdtCmXgIcYim0drzaUPj33bt7F3+zaKzGaunjyV1gkduPymSaxZ/CKfLH2FwWOuITw6hr2/bOPnrz/nmQ/WV6kIJLx7kAkqp0FkWIUiEDL0MV7YDGhmNoP9+/dXWi5JElqtlvbt29fKkCyUgYcUORwerTVLksSen7fw/LTJ9BkygpNHDrNz00amPPo0l1w9jklzHmfL52v56LXnMURFExQSytPvf0pcl25VtimX9C+oG0KGzYeWbDPo3bu3a7Zame1RrVYzYcIE3n77bbRarcftCmXgIY4a5pqlb5PmXBN7f9nKXU88x2XjbwVg6dyZrHzhKRxOJ8OuvYHOvfty6+y5yE4nKrWGwODgOvcvqBkhw+aDNy6jzc219PPPP+fhhx/mv//9L/3790eWZX7//XdeeeUV5s2bh91u55FHHuHxxx/n5Zdf9rhdoQw8RKmo/oaSJIkj+/fw4n13EhYdQ++Lz7l43bdwEcsencUHLz2DQqGg77BLCdYbfNq/oGaEDJsPLXlmsGDBAl5//XUuv/xyV1nPnj1p27YtTzzxBLt27SIoKIgHH3zQK2UgNp15iFaprPH9olPPPrTr1IXjB/aTduqEW9z86c+9Rr/hl7Hs0dns/XkL3gSLlUr6F9QNIcPmQ+k+A0+P5sRff/1FXFxchfK4uDj++usvoHgp6ezZ6nO3l0coAw8xaNVVrjenHDnM0b/2AvDk8jX0vngY65a9yt+/bXd7mNz7zMtceuMtJHTv4VXgMrmkf0HdEDJsPpR6E3l6NCe6du3K888/j9VqdZXZbDaef/55unbtCsDp06eJifEucoFQBh5S2Q9ZlmVMWZm8dP+dfLXyHY79XWzlf/x/H9KuUxeWPjKzwsPk7iefo3W89/Ht9RrxVllXGluGQhn4jpYcqG7ZsmV8/fXXtG3blksvvZTLLruMtm3b8vXXX/Pmm28CcPz4caZNm+ZVuyK5jYc4ZZl1e4+h1gVV+NsvGzfw2dtL6NijF5ffdDsde/QCYP4d40k9kczU+c/Ta/BQVxA6b1Ei01NtQa8PJVSvR6USpp7a0JgyVCskruwYI3Yg15HS5DYf/JCDzsPkNgX5udw2MqxZJbfJz89n9erV/Pvvv8iyTNeuXbnlllsICal9BkOhDDxk6tSpZOQXcvPcZ1FpNFiKCt18ynd8v5GPF79Ilz79uPym2+lwfk8AHrphNJbCAl789Nsq9xFUj0yMZKeV8pyPenBwMHq9ngAv3MYEjSdDCegcHiRiE/mAUmWw6occdEEeKgNzLrc3M2VQH4hXTA/4+OOP2bBhA19s/IazGg2H/vydPT9vYfi4Ca4YQoMuvxJkmfeen4fNauXqyVNJ7N6DFz/9lowzp2qpCIqJULhHvMzPzyc/P58ArRa9Xk9QUJBInlIDjSlDGUgwiNAgvqSleRN9+eWXHte95ppratWHUAYecPLkSSIiIhh0YT+WrvmMV2beh81qwel0ctn4iUS3KY4rPuiKq8jJTOej157HYbdz7ZR76XB+T6Jat62hh6qJVoGmCrOnpaiI9KIiVCoVoSXJ3mu7jNHcaUwZxusD0anFT82XtDRlcN1117l9LhsXq2wZ4Gbf8gZhQPaAYcOGIcsyI0aM4IGJ43l40VvcMmsuWzesY9PH75N+6qSrrj4ikui27clOO0t4dN2SmmiVCgbEx9K2XTtCQkOrfPu32+1kZ2WRcuIEmZmZ2Gwi7EF5GlOGPcTykM9xypJXh7/jdDpdx6ZNm+jduzfffvstRqMRk8nEt99+ywUXXFCnTGfidcUDLrzwQkaOHMmbb75J//79uf2aK9h+qj9WSxFfLC+23l9y1VjiunQj5d9DjLrpNi65aqwrtn1t6dvKgFqpAKWGqKgowsPDycvNxWQyVar9ZVkm12Qi12RCp9OhNxjQarViCYkmIEOBT2kqM4OcnBxmzJjhWsa55pprWLJkCQaDocpzJk+ezKpVq9zKBgwYwM6dOz3qc+bMmbz11ltcfPHFrrLLL78cnU7H1KlTOXjwoPdfBKEMPKKwsJBDhw5x55138uuvvzLzrsk89to7XDXpLhQKBZs++YAdmzaiDwvnxL+HWPjxV3V+iPSKDiUmyD3YlFKpxBAWht5gwJyfj8lkwmKxVHp+QUEBBQUFaDSaYrtCcLArwmZLpDIZPr30HWhgGQqaF7fccgunTp1yvZFPnTqV2267ja+++qra86644gree+8912eNRuNxn8eOHUOv11co1+v1JCcne9xOeYQ3kYcUFBSg0+lYsWIFL774IgptR0bd/hJDxhjY88s2Th8/gikrk2HX3kCbxI516qtXdCgdwiq6P5ZHlmUsFgsmoxGz2VxtXaVSSUhoKKGhoS3WNbW8DLt17cojL73OaaeGfdu3cfJYw8tQ4B2l3kT/+87olTfR3VcYfO5NdPDgQbp3787OnTsZMGAAADt37mTQoEEcOnSILl26VHre5MmTMRqNbNiwoVb9DhkyBLVazerVq135C1JTU7ntttuwWq1s27atVu22zKdCLSjNOTp+/Hh27jHx4fuL+fj1WZiyX2bEtRfT+6IhSHWMPaNVKujbyuDx22RpyFptbCw2m43c3FzycnNxOisme3c4HBhzcjDm5BAcElLsmlqHfKn+SFkZFhYW8tprr7Hgwft5+pXXUQ2+hF6Dh0Adg5p5K0NB7ZC92Flc+rqbm5vrVh4QEFCn38COHTvQ6/UuRQAwcOBA9Ho9v/76a5XKAGDr1q1ER0djMBgYOnQoCxYsIDo62qN+V6xYwdixY4mLi6N9+/YApKSk0Llz51orGBDKwGuOnpA5lnEh8d0mceLQh3z93jSseUu5b1ZbzhZZvM6vW1o/LjSQntGhtV5fVqvVREREEBYWRl5eHrkmU5WG5Py8PPLz8tBqtegNBnQ6XYuyK6iUSoYOGYI5P5/lK1Yw5567ePt/75Kj1ZOSV3sZxusD6RFVexkKPKc2OZDbtWvnVj5v3jzmz59f6zGkpqZW+gCPjo4mNTW1yvNGjx7NjTfeSFxcHElJSTzxxBOMGDGCP/74wyPl1LFjR/bv38/mzZs5dOgQsizTvXt3Lr300jr9joUy8IKsHBvPLTuOQhlITNxlOJ1Wzhz/isnXaRkUF06BzU6SsYDjxgJXesXyD5ayn9UKiUSDjgSDzmeuhwqFAr1eT2hoKIUFBZhMJgoLCyutW1RURFFqKiqVCr1eT0hoaLO3KzgcDtLS0tDpdIwZMwaLxcJn69eD7KRf63C6NwEZCmqmNgbkkydPui0TVfXgnT9/fo1ZxH7//XeASh++ZbPjVcaECRNc/z///PPp168fcXFxbNy4kXHjxlXbbymSJDFq1ChGjRrlUX1PEHevhzgcMs8tO06OqXgDmFIVSKuEq3hw5mQuG9YZAJ1axXlRoXSLDMFksWMssmEsslHkcOBwyigVElqlEoNWjUGrRh+gqrfwBJIkoQsKQhcUhNViwWQykZ+fX2mkTbvdTlZWFtk5OYSGhBCq16NWN784OrIsk56W5vLE0ul0jBs3jtsmTSI+Pr64rAnJUFA1tUl7GVpiM6uJ++67j5tuuqnaOvHx8ezfv5+0tLQKf8vIyPAqSFyrVq2Ii4vjyJEj1dYbM2YMa9ascRmPFyxYwPTp012eS1lZWVxyySX8888/HvddFqEMPGTVZ2fYfzDfrWxg32im3FTR0KiQJMK06iaT71YTEEBUdDTh4eHk5uaSm5tbuWuq04nJZMJkMqELCkKv1zcr11RjTk6FWVJYeHilScSbmgwF7tSna2lkZCSRkZE11hs0aBAmk4ldu3bRv39/AH777TdMJhMXXXSRx/1lZWVx8uTJGpPZf//9927egy+88AI333yzSxnY7XYOHz7scb/lad5rAj5i114Ta75wXwOMilDzyL0JKPwoYYlSpSIsPJz2cXFERUdX685WYDZz9swZTp8+TV5enlex+5sihQUF5OTkuJUplUqio6ObjbJrSTSFqKXdunXjiiuu4O6772bnzp3s3LmTu+++m6uuusrNeNy1a1c+//xzoDiUzJw5c9ixYwfJycls3bqVq6++msjISMaOHVvDd5ar/VxXxMygBtIzrTz/ZpJbmVIJj9+fSGiIf14+SZIICQkhODiYoqIiTCYTBVW4plotFjLS08nOyiK0xBbhbyEv7HY76enpFcqjY2JarJutv1ObZaL64MMPP2TGjBmutftrrrmGpUuXutU5fPgwJpMJKH4B+euvv3j//fcxGo20atWK4cOH88knn9Qp4qgvEL+EarDZnTy75Dh5+e5LKlNvbkv3TjXnvG3qSJJEYGAggYGB2Gw2TCYTebm5lb5xOBwOcrKzi11Tg4PRGwxebZRpLMrbCUoJDw8nMDCwirMETZ2msgM5PDyc1atX19D/uQEEBgby/fff16ovSZIqzGJ9OasVyqAa3l1zmoNH3d+YL77QwNgrPPMH9ifUajWRkZFuIS/sdnuFerIsk5eXR15eHoGBgej1egKbsGtqTnY2RUVFbmWBJaE6BP6L01l8eFq3OSDLMpMnT3Z5QRUVFXHPPfcQFFS8ubGqaASeIpRBFfz8ew7rv3NfWmgVrWHO1Pgm++DzBQqFAr3BQKheT4HZjMlkqvAwLaWwsJDCwkLUajV6vZ7gkJAm5ZpaYDZjNBrdylQqlbATNAOaysygIbn99tvdPk+cOLFCnUmTJtW6faEMKuF0ahEvv53sVqZWSzz5QAeCdP61Xl5bJEkiKDiYoOBgV8iL/Pz8SuvabDYyMzPJzs4mJDQUfRPIxmaz2aq0E/ibzUNQkZaoDMrGMqoPhDIoh9Xq5JnFxykodJ9bTp/Ujo7xLTNBSUBAANExMYRHRBS7pppMlYa8cDqdmIxGTEYjQSXZ2LSNkI2t1E5QfowRERGNMh6B73HihQG5XkfSfBDKoBxvfHCSYyfcfdFHDg5nzPCa/Y6bOyqVivDwcAwGA/klUVNtVmuldc35+Zjz8wkICEBvMDRoNrasrKwK66dBQUGEVhLpUeCfyLLssWulv7tFNxRCGZTh/37JYuOPmW5l7VtreWBKe7HGXAaFQkFoaCghISEUFRYWu6YWFFRa12KxkJ6WhlKpdIW8qM9lmvz8fHJL3PhKUanVREVFCRk2I1riMlF9I5RBCSdOFfL6ihS3Mm2AgicfSCRQK9aYK0OSJAJ1OgJ1OqxWK7kmU5Ub1BwOB9nZ2eTk5BBSEvLC166pNquVjHJ2AkmSiImJQSHsBM0K2QtvIlmsE3mEUAZAYZGDp18/TpHF/a55YEp74toKX3RP0Gg0REZFEVbqmpqbi6MK19TSkBiBOl2xa2pgYJ3f2p1OJ2lpaRUUUURkZIsL1d0SEDMD39PilYEsy7y+IoWUM+7uk2OGR3LpxRGNNCr/xS0bm9mMyWis0v+5sKCAwoKCYtdUg4HgOmRjy8rMxFrOfhEcHNzouzoF9UNT2YHcnGjxyuCbLZn8sD3braxDXCDTJ7Wr4gyBJ0iSRHBwsFvIC3N1rqkZGcUhL0JDCfXSNbV0E1xZ1Go1kcJOIBB4TItWBkeTC1j2/km3Ml2ggidmJKLRNJ3NU/6OVqtFq9Vij4gg12Qit4psbE6nE6PRiNFodIW8qGmJx2q1kpmR4VYmSRIxsbFNagOcwLeIZSLf02KVgbnAwTOLj2Ozud8pc6bG0yZW+KLXByqVivCICAxhYeTn5RW7plaVjS0/n/z8/OJsbHo9ukpcU51OJ2mpqRXsBFFRUX4RN0lQe2SnjOzh+o+n9Vo6LVIZyLLMy+8kcybNfS177BXRXNI/rJFG1XJQKBSElriZFhYWYjIaq8/GVlSESqUqjpoaEoJCqUSWZTIzMiook5DQUIKFnaDZI2wGvqdFKoPPv0vnl9+NbmVdOwRx981tGmdALRRJktDpdOhKXFNNJhP5Vbim2u12srOyyCkJeaFUKCqEx9BoNERECKN/S0AsE/meFqcM/jmSzztrTrmVhQQreWJGImqVWGNuLDQaDVFRUeeysZlMlWdjk+UKm8qgeLYh7AQtB6dTxunhK7+n9Vo6LUoZ5ObZeXbJcco/Yx6+N4HoSLHG3BRQKpWEhYVhMBgwl4S88CQ0b3BwcKMHxxM0HGJm4HtazK/H6ZR5/s0kMrLc15hvuiaWAb1FzJqmhiRJBIeEFEdNLXVNrSIbG0Bubi5ms7k4TEZoqFAMzRyhDHxPi/nFfPxVKr/vy3Ur69ktmMk3tG6kEQk8QZIktIGBaAMDyc7KqpCfoCwOh4OcnBxycnIIDglBr9eL3cfNFKcs4/TwKe9pvZZOi1AG+/7JY9W6M25lYXoVj05PRKkUm5L8gaKiomoVQXny8/LIz8srdk01GNA14WxsAu+RnZ7HHBKxiTyj2SuDbKONBUuPu7mXKSR4dHoiEWHqxhuYwGMcDgdpqakVymNiYwGKs7FV55qamoqqJBtbSBPLxiaoHTJehLBGzAw8oVkrA4dT5rmlx8kxuQdMm3RDa3qfJ3zR/YGqEtobwsJcuV+DgoKKs7GVuKZWht1mIyszs9g1tSRqqlotXgb8FRG11Pc0a2Xw/qdn2HfQ3Rf9wp6h3HxNbCONSOAtxko2pGm1WsLC3DcHBgQEEB0dTXhJ1NTc3NxKXVOdTicmkwmTyURQUFCxXUGrFUtIfoZIbuN7mq0y2LXXxEdfuC8tRIWreXhaAgqF+OH7A4UFBeRkuwcRVCqVRMfEVPnwVqlUhIWHu4W8KB/NtBSz2YzZbC7OxqbXExQcLJSCnyB2IPueZqkM0rOsvPBmkluZUgmPz0hEH9Isv3Kzw263V5nQ3hO3UUmSXKEpioqKMBmN1WdjS09HmZVVHPKinrOxCeqOiE3ke5rdk9Fmd/Ls4uPk5rsvEdx9c1u6dwpupFEJvKEqO0FYeDiBgd4lG5IkicDAQAIDA7HZbJhMJvJyc6vMxpaTnY2xjGuqCHjXNBH7DHxPs1MGyz8+zcGj7puTBvczMO6K6EYakcBbcrKzKSpyTzYUqNNhMBjq1K5arSYyMpLwsDBy8/LINZmwV5GNLS83l7zcXAIDA9EbDD7JxibwHSIche/xO2Vw+JiZV989QUGhg0nXt+ayS84FJvvl9xw++9Z9aaFVtIY5U+PED7kJYbFYyEhPx+l0YggLIzQ01PW3ArO5wn4ClUpFdHS0z2SoUCoxGAzo9XoKzOZi19RyyqeUwsJCCgsLi7Ox6fUEC9fUJoEwIPsev7urX1+RwvGUQlIzrLz8djLmguKlhDNpFl56O9mtrlot8cSMDgQH+Z3Oa9ZklqSotNvtZGZkuJaDbDZblXaC+ljDlySJoOBgWrdpQ5u2bQkOrnoZ0WazkZmZScqJE2RnZVU6oxA0HKWbzjw9BDXjV0/J3Dw7R5LPGQGdMpjy7KhVEs8sPkZBobvUp93Wjk4JuoYepqAanE4nlnJv4Q67HYVCQXpaWoUMaBEREWi19Z9sKCAggOiYGMIjIlxRU2vKxhYUHIxer2+Q8QncEeEofI9fKYOjJ9y9QTRqiZhIDUtWpnA02d0XfcRF4Vw5IrIhhyfwAGslEUhVajVZWVkVopMGBQURqm/YIIIqlYrw8HAMBgP5+fmYjMYqs7GZ8/Mx5+cXu6YaDARVko1NIPAX/EoZHDvh/sBPaBfI1p3ZbPwx0628XWstM+9sL36YTRBLOZ9/tUZDQUFBhRwFKpWKqEZMaK9QKIojoIaEFGdjM5korM41NS0NpUqFviRqqnBNrV+EzcD3+JkycP8xxkRqWLQ8xa1MG6DgyQcSCdSKH2NTpPzMQK1SkVHOTuBKaN8EHqjls7HlmkzkVZGNzWG3k52dTU5OjivkhXBNrR+EN5Hv8Wtl8PfhfIos7uu6M+5oT1wbLWfSLMiyLJLbNzHK7wa2WCwVHqwRkZFoNJri5RlZRt1EHqgajYbIqCjCSkJemKrLxlYSEkOn0xXbFYRrqk8R+wx8j98oA6vVScoZd8NjdrkAdFcMjSAoUMn0Jw5xJKkASYI7bmzNzde2asihCqpAluUKyqD8wzQoKAilUsmZ06ddNgRDWBjh4eENNs6aUCqVGMLC0BsMmM1mTEZjldnYCgoKKCgoQK3RFLumBgcL11QfIMte7EAW2sAj/EYZJJ0qrDZKYXSkhsPHC/huW5arTJZhzZepTLg6VsQjagLYrNZqf5hKpRKbzVYhXLXJaCQsLKzJvVlLkkRwcDDBwcHFIS9MJsz5+ZXWtVmtZGZkkF0m5IXIxlZ7ZC+8iYQy8Ay/uRvLG4/LIkmQnll5MLKIMLVQBE2E8sbj8jgcjkqXXZRKZZNTBOXRarVotVrsERGukBdVuqbm5BSHvAgORm8weJyNLS8vjwKzmQCtFr1e3+SvSX0iYhP5Hj9SBpV7ckDVa4JtYgOYN7NDPY1I4C2VuZXWhEqlciWx8QdUKhURERGElYmaWpVran5+Pvn5+cXZ2PR6dNW4phYWFroM7WazGZvVSmQjels1NkIZ+J5moQzK0661lluvi2XYwHCR1rIJUdPMoCxqtRqDwUBwSIhfPvAUCgWhej0hoaEUFhQUu6ZWl42tqAiVSlWcjS00tIJdobytJS8vD7VGU+d4Tf6KCGHtexpFGThlGZPFjrHIhrHIRpHDgcMpo1RIaJVKDFo1Bq0afYAKhSThdMr8e7xmZRDfVsut17XikgFhKMXSUL3irQxlWa6w87gy1Go1hrAwgptJbgFJktAFBaELCsJqtWIyGsnPz690Hdtut5OVlUV2djYhoaHoy2RjCwoKIjsry+287KwsNGo1upKMb97irQybEmJm4HsaVBkU2OwcNxaQZCzAViIgCdwylEqAXLL/SK2QSDDoUJoV2OxVCzSxfSATx7ZicD+DsA/UM7WVYbsgTbWGPLVaTVh4eLPexavRaIiKjnYLeVGla6rJRK7JhK4kG5tWqyUqOpr0tDS3umnp6bRp08ar/Qy1lWGiQYdO3TQWE8SmM9/TIJK1OZz8lZFLsqmwwk1XXkxlP9ucMkeyzcgyDL1Sz6+bc7FZz9XoFK9j4thWDLxAL5RAPVNXGf6bbSZc0tBGYaXsyp1Go3HlM26uSqA8SqWSsLCwcyEvTKYq7SkFZjMFZjMajQa9wYAhLAxjTo7r77LTSerZs7Rp27bGXc91leHhrHwSDDp6RIWiVjaue6zT6flmMk9zJdeGBQsWsHHjRvbu3YtGo6kQcbcyZFnmqaee4p133iEnJ4cBAwawbNkyzjvvvPobqAfUuzJIM1vYfdaIxVEsEU/EZ8rKJN9kxJxronPvviBB1z464jpr+fELIxajkwemxNG/d2iLeYA0JrWRYSlOp9O1/p0tK8l1aGmvsBKmloiMikKn07VYGUqSREhICMHBwVhKXVPN5krrWq1WMtLTUSgUqNVqN6O03W4nLTWVVq1bV3ktayNDc14u1qIiCvJyaZPYEUmSSDIWkJpvoW8rAzFBnnlB1QdNZWZgtVq58cYbGTRoEMuXL/fonBdffJFXX32VlStX0rlzZ5599lkuu+wyDh8+TEhISL2NtSYkuR6v1LEcM/vSc706J/nwP7w0424UCgUZp0/RuXdfxkycQt9hl6JSa5Ak6BUdQocwkbWsIaiNDFOOHOarlW9zz9MvoVQq3RRCKUKGlWOz2YqXiPLykL18pQ0JDSUyMrKCQqitDN995jFMWRkU5Odz0RVXc8fc+W51ekWH0iGsdvaK2pKbm4ter2fio8fQaD17cFqL8lj9XAdMJpNb7gxfsnLlSmbOnFnjzECWZVq3bs3MmTN5+OGHgeJd+DExMbzwwgv85z//qZfxeUK9zfVqcwPmZKTzwrQ7uOjyq3hw0du8smEzCqWCDe8u46v33sZuK55K70vP41hO5W9QAt9RGxmmnjzBgqm3smX9Jzz3n9uQZRmFQlHB517IsHLUajURkZHExcURERHh1ca0vBI7RFlqI8NTx47w5G3j6NSrD7fMeoQJ9z/ID59+xP+t+9Ct3r703EaTYakB2dMDcIUIKT2q2jVenyQlJZGamsqoUaNcZQEBAQwdOpRff/21wcdTlnpRBmlmi9c3IMDZE0kolEpG3XQb8V260yaxI48sW0lC9x7s+uE7Nn38AY6SpCL70nNJMze8MFsKtZGhpbCAb1evoMP5vfnvknc5ffwoT90xoRqFIGRYFQqFAr3BQLv27YmJjfU4Z0JWVpZrF3RtZGjOy+X9F59hyDXXc9uDjzHg0tEMveZ6+gwZTtLBvwH3ZZfGkqET2ZXToMajZFGsXbt26PV617Fw4cIGH3dqye76mJgYt/KYmBjX3xoLnysDm8PJ7rPGWp3rdDiwFBZSWHIz26wWtDodkx9+kjYJHfnpq/WcTUly1f/jrBGbQ6Qx8jW1laFCqSKmXRwXX3ktAy4dzZzX3+FsSpKbQii/KilkWDlOp5Pc3FwyMjLIz8tDkiQ0Go1HcY3S0tLIKyislQytRUUolAq69OnnKlNrAkjs3oOTR48Uj62cB1RjyLA2M4OTJ09iMplcx9y5cytte/78+UiSVO2xe/fuOo2//FKeLMuNbjvzuTL4KyMXqxc3hizLrjfG+K7dkSSJ79asAopvQpvVSkCgjqlPPY8xM50f1n3kOreoxDtC4FtqI0OH3Y5ao2HUhNu46IqrAUg8rycPvvY2qSnJLoUgSRI2q4UzycdxOp1ChlWQlZlJZokiMJvNFBYWYrVaKw1xURn7zuZ4L0OHg7CoaG6Z+QiDR18DnAskqFSpXQ8rZcnSVelYGkOGpQZkTw+A0NBQt6OqMCD33XcfBw8erPY4//zzazXu2JLd9OVnAenp6RVmCw2NT5WB2WYn2VTosbdJYX4+kiShUCg4+tdeHA4Hdz25gB8+XcNnby0GipOfOOx2ArSB9LlkBFlpZ93aSDYVUmAT+Wh9RW1lqFSpOPb3ftJPFeeXKDUad+51AbNffdOlEKyWIt5bOJ+Vz8/HUrIjV8iwIlXtVvYEiyyRbpe8l6FSSdLBv1GVbHRzOp0ud1WVWo3Dfs6DadWLT7PqhadcnxtahnJJPgNPDm83nUVGRtK1a9dqj9qmOk1ISCA2NpbNmze7yqxWK9u2beOiiy6qVZu+wqfKIMlYgKcTnZyMdJ6+82b2/rKVP7b9wNwJV5F+KoXeg4dy8wP/Zd0br/HJkpeBc28iuTnZBIW4p0GUSvoV+Ia6yPCR8WPIzy02YJZdzujcuy+zX3uLjDOnuHNwL3787GPGT3+QwJKds0KGFQnU1T53t1HS1E6GW/+Ph66/olIZqjUB2EvcWT98dSEb33+XwWOudf29pcowJSWFvXv3kpKSgsPhYO/evezdu5f8MtFru3btyueffw4ULw/NnDmT5557js8//5y///6byZMno9PpuOWWWxrrawA+3GfglGWSjAUev43kZmfRvnMX3nryIYyZGcx69U069ewDwMgbbkGjDWTVC09zaM/vRLdph9PpZN/2rSz8ZKNbOzJw3FhAt8iQJrdl3t/whQw797qgUlfShG7n0a5TFw79sYsFa76kfacurr8JGVYkIiICbUAAVqsVSaFAUTKDlhQKFCVH6ay67GcZOHA0DdlDKZaX4exX36pUhjarhWBDGOvfWcKX773N8598TeJ5PV1/b2gZNpVwFE8++SSrVq1yfe7Tp/gZtmXLFoYNGwbA4cOHMZXx8nrooYcoLCxk2rRprk1nmzZtatQ9BuBDZWCy2F1b2z0hrks3ul84iB8+XYMhMpqAwHNvQiGGMMZMnML5Awaz/u3FGDMz0IWEsvDjr90eIqXYnMUxVsK0ap98l5aKr2RYaiguXWN2Op18tfIddv+4iZfWfy9k6AEKhYKQWvjEG4tsdZKhJjDQ1X95o+ben7dwZN+fLPjoCzdFUEpDyrCpbDpbuXIlK1eu9Kp/SZKYP38+8+fPr7dx1QafKQNjUeVhestT9gaL69KNqfNf4MThA6x64SkshQUu46PDbqd9py488NJSJEnCbrO51jKr6l88SOqGL2UolQSnK60XFhXDoq+30rZDp2r7FzKsG76WYekMIbH7+bRO6MCDr71NXJdu1fbfIMrA6fR4U563m/daKj5VBuXjnVSGJEn8/duvfP6/pTzx7kfEd+nO0b/2YrNa+XjxS0iSgkGXX4lSpeKPbT8Q0649bRM7uewGlbaJ5z8CQdX4WoaSJPHnTz/SvlMXho8dX32bCBn6Al/LUKFQsOfnLYRFRfP82o3ogqteymhIGZYahz2tK6gZnymDIofD47Vmh8POoT9/5+k7b+bJ5Wvo2KM3UOy/+9Gi58lJTyXPmMOGd99gyXc/AxX9cssil/QvqBv1LcPqEDL0DfUlw6Xf/1KtIoCGlWFTWSZqTvhMGTi80L7n97+IR954j8UPP8D8yeOZv3ItHXv0QqFUoNUF88V7bxEUoufZDzcQ2aqNz/sXVI6Qof9TXzKMiG3t8/7rQlMxIDcnfBaobsfpbM7mV70tPeXfQ7Tv3NX12eFwcGDXryx5ZCZtEjsw/721ABSazVgtxUlQ9OERHvffKjiAQW3Cazl6AQgZNgeauwxLA9Vd85+9qAM8876xWfL48u3e9Rqorjngs30GWqWySt/mnPQ05t8xnldmnYvIp1Qq6d5vIFPnLeTg7l28OvseAAKDgtCHR3h1A0ol/QvqhpCh/9NSZOjEiVP28EAYkD3BZ8rAoFVXuVYZpNdz6+y5HNm3h8UPz3CVq9Rqzus/iLjOXfn12694ftrkWvUtl/QvqBtChv5PS5Gh7PQmPlGDDMnv8ZnNoOxNUOq2lnz4H7LTUpFlmR4DL0GpUrNu2au8/tD9PPDiEgC0uiA69OjNuP/MIL5b7TP9iAdJ3REy9H9aigyFzcD3+Mxm4JRlNh5Nc2142fHd17w9/2EiW7Um+dA/dL9wEL0HDyU8thWfLHmZ9p26cMUtk9nz8xb2bd/GU6s+xRAZVau+1QqJKzvGiN2rdUTI0P9p7jIstRmMnrIbtcaz5Eg2az7frugnbAY14NNMZ39n5HIk28yxf/7imTtv5tYHH2XgZWOwWa2sfnkBORlp9Bo8lPadu7HiuSdcG1pmvfIGid171O4LAJ3DgzgvSgjZFwgZ+j/NWYalyuDyybu8Ugbfr+wvlEEN+DQHcqJBx7/ZZk4fO0JoRCQXXXE1gUHBSJLExDmPsfL5+fz5049cM+UeFn29lYwzpwgO1ROsN9S6TxlIMNQ+qJfAHSFD/6clyFAsE/ken0Yt1alVxOsDkRQK7FYrlsJCJEnCYbcTFhXNrbPmcmDXr+z9ZRtKpZLYdnF1ugEB4vWB6NQ+1WktGiFD/6clyFCWnV4dgprxeXKbHlGhnNfrArJSz/Lth+8B50JQI0m069SVIB9N1bRKBT3E0oLPETL0f5q7DGuT6UxQPT5X5WqlgqsG9uavBa+w7NHZyE4nI66/CV1wCP+37kMK8kxEeribsSb6tjKgVtZLGucWjZCh/9PsZejNQ14oA4+ol3ldTFAA9025HUmSeHvew/z09Xo0mgAsRYU8suw9wmNi69xHr+hQYoIqT1snqDtChv5Pc5Zh6YYyT+sKasan3kTlOZZjZvOefzh9/ChOp4P4Lt08jnFSHb2iQ+kQFuSDEQpqQsjQ/2lOMiz1Jho+/idUHnoT2a35bFk7RHgT1UC9Wnw6hAURPKAnf7RvT5EXybmrQqtU0LeVQbxNNiBChv6PkKHAE+rd/B8TFMBlCVH8lZFLsqnQo1jrZSmtH68PpEdUqFhfbgSEDP2f5iZDWfYiuY1YJvKIBvEFUysVXBBroGtEMEnGAo4bC1w7JMvflGU/qxUSiQYdCQadcD1sZIQM/Z/mJEOxz8D3NKhkdWoV50WF0i0yBJPFjrHIhrHIRpHDgcMpo1RIaJVKDFo1Bq0afYBKhCdoYggZ+j/NQYbe7B8QMwPPaBQ1r5AkwrRqke/WjxEy9H/8WYZOp+fpLEUKZM9oGnM+gUAg8ALZ6YXNQGgDjxDKQCAQ+B3CZuB7hDIQCAR+h7AZ+B6hDAQCgd8hZga+RygDgUDgd9iteR7bAhx2cz2PpnkglIFAIPAbNBoNsbGx7P5hvFfnxcbGotFo6mlUzYN6jU0kEAgEvqaoqAir1erVORqNBq1WW08jah4IZSAQCAQC3ye3EQgEAoH/IZSBQCAQCIQyEAgEAoFQBgKBQCBAKAOBQCAQIJSBQCAQCBDKQCAQCATA/wOt/hiqqvlsTgAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tidx = 0 \n", "x = x_train[[0]]\n", "y = y_train[[0]][:,tidx].item()\n", "yhat = model(x.cuda())[:,tidx].item()\n", "print('y[tidx]->', y)\n", "print('yhat[tidx]->', yhat)\n", "\n", "explainer = OcclusionExplainer(model, data, batch_size=64)\n", "res = explainer.explain(x, target_idx=tidx)\n", "\n", "plot_edge_importance(res, pos, title='OcclusionExplainer')" ] }, { "cell_type": "code", "execution_count": 21, "id": "d8621aac", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "explainer = OcclusionExplainer(model, data, batch_size=64)\n", "res = explainer.explain(x, target_idx=tidx, target='node')\n", "\n", "plot_node_importance(res, G, pos, title='OcclusionExplainer')" ] }, { "cell_type": "markdown", "id": "cce93dbf", "metadata": {}, "source": [ "## Occlusion Explainer tractability can be improved by combining with GSNNExplainer \n", "\n", "For very large graphs, with many edges, occlusion explainer can become intractable. To improve upon this, `GSNNExplainer` can be used to identify a minimal subset of edges that are improtant to performance, and then these edges can be passed to `OcclusionExplainer` to reduce the number of edges to evaluate. " ] }, { "cell_type": "code", "execution_count": 73, "id": "26ccf400", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "iter: 499 | loss: 3.7269 | mse: 0.7279 | r2: 0.660 | active edges: 3 / 9 | entropy: 0.06496\n", "==================================================\n", "POST-TRAINING EVALUATION (edges > 0.5)\n", "==================================================\n", "Selected edges: 3 / 9 (33.3%)\n", "MSE (subset): 0.728245\n", "R² (subset): 0.6595\n", "Variance explained: 0.8027\n", "Correlation: 0.8959\n", "==================================================\n" ] }, { "data": { "text/html": [ "
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sourcetargetscore
0func0func31.579569
3in0func00.788018
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" ], "text/plain": [ " source target score\n", "0 func0 func3 1.579569\n", "3 in0 func0 0.788018\n", "6 func3 out0 -1.004601\n", "1 func1 func4 NaN\n", "2 func2 func3 NaN\n", "4 in1 func1 NaN\n", "5 in2 func2 NaN\n", "7 func3 out2 NaN\n", "8 func4 out1 NaN" ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "\n", "ge = GSNNExplainer(model, data, ignore_cuda=False, gumbel_softmax=True, hard=False, tau0=10, min_tau=0.5, \n", " prior=2, iters=500, lr=1e-2, weight_decay=0, beta=1, verbose=True, \n", " optimizer=torch.optim.Adam, free_edges=0)\n", " \n", "_, ge_edge_weights = ge.explain(x_train, targets=[tidx], return_weights=True) \n", "\n", "res = explainer.explain(x, target_idx=tidx, edge_mask=(ge_edge_weights > 0.5))\n", "\n", "res.sort_values('score', ascending=False)" ] }, { "cell_type": "markdown", "id": "3e1538f3", "metadata": {}, "source": [ "## *Contrastive* explanations between two observations \n", "\n", "\"What latent edge features are responsible for the difference between two observations predicted outcome?\" \n", "\n", "The returned edge attribution indicates: \n", " IGₑ > 0 adding edge e enlarges the prediction gap \n", " IGₑ < 0 adding edge e shrinks the gap \n", " IGₑ ≈ 0 edge e is irrelevant to the gap. \n", "\n", "For this example, we focus on output `out0` and fix `in2` to 5 for both observations, suggesting that the difference in outcome should be explained by the path from `in0`->`func0`->`func3`->`out0`. " ] }, { "cell_type": "code", "execution_count": 74, "id": "17a78148", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "yhat1 -5.033181190490723\n", "yhat2 -12.176862716674805\n", "delta 7.143681526184082\n" ] } ], "source": [ "target = 0 \n", "\n", "x1 = torch.tensor([[0, 0, 3]], dtype=torch.float32)\n", "x2 = torch.tensor([[-3, 0, 3]], dtype=torch.float32)\n", "\n", "yhat1 = model(x1.cuda())[:, target]\n", "yhat2 = model(x2.cuda())[:, target]\n", "delta = yhat1 - yhat2 \n", "\n", "print('yhat1', yhat1.item())\n", "print('yhat2', yhat2.item())\n", "print('delta', delta.item())" ] }, { "cell_type": "code", "execution_count": 75, "id": "d1cd4c5b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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sourcetargetscore
3in0func02.615760
0func0func32.240277
6func3out02.236099
5in2func20.034480
2func2func30.017438
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\n", "
" ], "text/plain": [ " source target score\n", "3 in0 func0 2.615760\n", "0 func0 func3 2.240277\n", "6 func3 out0 2.236099\n", "5 in2 func2 0.034480\n", "2 func2 func3 0.017438\n", "4 in1 func1 0.000000\n", "1 func1 func4 0.000000\n", "7 func3 out2 0.000000\n", "8 func4 out1 0.000000" ] }, "execution_count": 75, "metadata": {}, "output_type": "execute_result" } ], "source": [ "explainer = ContrastiveIGExplainer(model, data, n_steps=100) \n", "\n", "res = explainer.explain(x1, x2, target_idx=target) \n", "\n", "plot_edge_importance(res, pos, title='ContrastiveIGExplainer')\n", "res.sort_values('score', ascending=False)" ] }, { "cell_type": "markdown", "id": "f93a6fe4", "metadata": {}, "source": [ "## Contrastive Occlusion Explainer " ] }, { "cell_type": "code", "execution_count": 76, "id": "3d4c5bca", "metadata": {}, "outputs": [ { "data": { "image/png": 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sourcetargetscore
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" ], "text/plain": [ " source target score\n", "0 func0 func3 7.143682e+00\n", "6 func3 out0 7.143682e+00\n", "3 in0 func0 7.143681e+00\n", "5 in2 func2 3.272810e-01\n", "2 func2 func3 1.259036e-01\n", "7 func3 out2 4.768372e-07\n", "4 in1 func1 0.000000e+00\n", "8 func4 out1 0.000000e+00\n", "1 func1 func4 -4.768372e-07" ] }, "execution_count": 76, "metadata": {}, "output_type": "execute_result" } ], "source": [ "explainer = ContrastiveOcclusionExplainer(model, data)\n", "\n", "res = explainer.explain(x1, x2, target_idx=target) \n", "\n", "plot_edge_importance(res, pos, title='ContrastiveOcclusionExplainer')\n", "res.sort_values('score', ascending=False)" ] }, { "cell_type": "markdown", "id": "23ea4f57", "metadata": {}, "source": [ "## Counterfactual explanations \n", "\n", "The goal of this approach will be to understand what minimal changes to inputs (x) can be made to change the predicted outcome to a desired value. This can be used in tandem with contrastive explainers to understand the latent changes involved in the counterfactual response. " ] }, { "cell_type": "code", "execution_count": 77, "id": "074182ad", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "y[tidx]-> tensor([[-1.6587]], device='cuda:0')\n", "yhat[tidx]-> tensor([[-1.0046]], device='cuda:0', grad_fn=)\n", "x -> tensor([[1.7641, 0.4002, 0.9787]], device='cuda:0')\n", "\n", "Iteration 492: Loss = 0.870315\n", "Converged at iteration 492\n", "Final loss: 0.870315\n", "\n" ] }, { "data": { "text/html": [ "
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featureoriginalperturbationcounterfactual
0in01.764052-0.6252691.138783
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" ], "text/plain": [ " feature original perturbation counterfactual\n", "0 in0 1.764052 -0.625269 1.138783\n", "1 in1 0.400157 0.000000 0.400157\n", "2 in2 0.978738 -0.508059 0.470679" ] }, "execution_count": 77, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x = x_train[[0]]\n", "y = y_train[[0]]\n", "yhat = model(x.cuda())\n", "target_ixs = [0] \n", "\n", "# summary statistics \n", "print('y[tidx]->', y[:,target_ixs])\n", "print('yhat[tidx]->', yhat[:,target_ixs]) \n", "print('x ->', x)\n", "print() \n", "\n", "explainer = CounterfactualExplainer(model, data)\n", "\n", "res = explainer.explain(x, \n", " target_value=0.5, \n", " target_idx=target_ixs, \n", " dropout=0.1, \n", " weight_decay=1)\n", "\n", "print() \n", "res" ] }, { "cell_type": "code", "execution_count": 78, "id": "d64d9744", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "original yhat [tidx] -> -1.0046004056930542\n", "counteractual yhat [tidx] -> -0.47705984115600586\n" ] } ], "source": [ "xc = torch.tensor(res.counterfactual.values).view(1, -1) \n", "cyhat = model(xc.cuda()) \n", "\n", "print('original yhat [tidx] ->', yhat[:,target_ixs].item())\n", "print('counteractual yhat [tidx] ->', cyhat[:,target_ixs].item())" ] }, { "cell_type": "code", "execution_count": 79, "id": "4641742d", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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sourcetargetscore
6func3out05.275407e-01
2func2func31.534742e-01
5in2func21.522183e-01
3in0func05.335212e-03
1func1func42.384186e-07
7func3out20.000000e+00
4in1func10.000000e+00
8func4out1-1.192093e-07
0func0func3-8.544934e-02
\n", "
" ], "text/plain": [ " source target score\n", "6 func3 out0 5.275407e-01\n", "2 func2 func3 1.534742e-01\n", "5 in2 func2 1.522183e-01\n", "3 in0 func0 5.335212e-03\n", "1 func1 func4 2.384186e-07\n", "7 func3 out2 0.000000e+00\n", "4 in1 func1 0.000000e+00\n", "8 func4 out1 -1.192093e-07\n", "0 func0 func3 -8.544934e-02" ] }, "execution_count": 79, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# combine this with a contrastive explainer \n", "\n", "x1 = x \n", "x2 = xc \n", "\n", "cexplainer = ContrastiveOcclusionExplainer(model, data)\n", "\n", "res = cexplainer.explain(x1, x2, target_idx=target_ixs)\n", "\n", "plot_edge_importance(res, pos, title='CounterfactualExplainer')\n", "res.sort_values('score', ascending=False)" ] }, { "cell_type": "code", "execution_count": 80, "id": "476e8950", "metadata": {}, "outputs": [ { "data": { "image/png": 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sourcetargetscore
6func3out00.189277
3in0func00.151453
0func0func30.117998
5in2func20.001137
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7func3out20.000000
4in1func10.000000
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" ], "text/plain": [ " source target score\n", "6 func3 out0 0.189277\n", "3 in0 func0 0.151453\n", "0 func0 func3 0.117998\n", "5 in2 func2 0.001137\n", "1 func1 func4 0.000000\n", "7 func3 out2 0.000000\n", "4 in1 func1 0.000000\n", "8 func4 out1 0.000000\n", "2 func2 func3 -0.013973" ] }, "execution_count": 80, "metadata": {}, "output_type": "execute_result" } ], "source": [ "explainer = NoiseTunnel(ContrastiveIGExplainer(model, data), n_samples=100, noise_std=0.1, agg='mean') \n", "\n", "res = explainer.explain(x1, x2, target_idx=target_ixs)\n", "\n", "plot_edge_importance(res, pos, title='ContrastiveIGExplainer')\n", "res.sort_values('score', ascending=False)" ] }, { "cell_type": "code", "execution_count": null, "id": "e31d4c05", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "5f7b2c01", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "b39bb9f0", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "gsnn-mds", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.11" } }, "nbformat": 4, "nbformat_minor": 5 }