{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Exercise 16.1\n", "## Zachary’s karate club - semi-supervised node classification\n", "In this exercise, we investigate semi-supervised node classification using Graph Convolutional Networks on Zachary’s Karate Club dataset introduced in Example 10.2.\n", "Sometime ago there was a dispute between the manager and the coach of the karate club which led to a split of the club into four groups.\n", "\n", "Can we use Graph Convolutional Networks to predict the affiliation of each member given the social network of the community and the memberships of only four people?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The exercise uses spektral and networkx. If you don't have yet installed both packages, do so by executing:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import sys\n", "!{sys.executable} -m pip install spektral\n", "!{sys.executable} -m pip install networkx" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "spektral 1.0.6\n", "keras 2.4.0\n" ] } ], "source": [ "from tensorflow import keras\n", "import matplotlib.pyplot as plt\n", "import networkx as nx\n", "import numpy as np\n", "import spektral\n", "\n", "print(\"spektral\", spektral.__version__)\n", "print(\"keras\", keras.__version__)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Download data: Zachary’s karate club\n", "You can find the original data set [here](http://vlado.fmf.uni-lj.si/pub/networks/data/ucinet/ucidata.htm#zachary)." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "import gdown\n", "import os\n", " \n", "url = \"https://drive.google.com/u/0/uc?export=download&confirm=HgGH&id=1OugMZz6VVBjWy0uxsG_rrPdrYdPLklzD\"\n", "output = 'karate_club.npz'\n", "\n", "if os.path.exists(output) == False:\n", " gdown.download(url, output, quiet=True)\n", "\n", "f = np.load(output) \n", " \n", "adj, features = f[\"adj\"], f[\"features\"]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "adjacency matrix\n", " [[0. 1. 1. ... 1. 0. 0.]\n", " [1. 0. 1. ... 0. 0. 0.]\n", " [1. 1. 0. ... 0. 1. 0.]\n", " ...\n", " [1. 0. 0. ... 0. 1. 1.]\n", " [0. 0. 1. ... 1. 0. 1.]\n", " [0. 0. 0. ... 1. 1. 0.]]\n" ] } ], "source": [ "print(\"adjacency matrix\\n\", adj)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "features\n", " [[1. 0. 0. ... 0. 0. 0.]\n", " [0. 1. 0. ... 0. 0. 0.]\n", " [0. 0. 1. ... 0. 0. 0.]\n", " ...\n", " [0. 0. 0. ... 1. 0. 0.]\n", " [0. 0. 0. ... 0. 1. 0.]\n", " [0. 0. 0. ... 0. 0. 1.]]\n" ] } ], "source": [ "print(\"features\\n\", features)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "labels: [2 2 3 2 1 1 1 2 4 3 1 2 2 2 4 4 1 2 4 2 4 2 4 4 3 3 4 3 3 4 4 3 4 4]\n" ] } ], "source": [ "labels_one_hot = f[\"labels_one_hot\"]\n", "\n", "def one_hot_to_labels(labels_one_hot):\n", " return np.sum([(labels_one_hot[:, i] == 1) * (i + 1) for i in range(4)], axis=0)\n", "\n", "labels = one_hot_to_labels(labels_one_hot)\n", "\n", "print(\"labels:\", labels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot data" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = nx.from_numpy_matrix(adj) # define nx graph\n", "\n", "fig, _ = plt.subplots(1)\n", "nx.draw(g, pos=nx.random_layout(g), cmap=plt.get_cmap('jet'), node_color=np.log(one_hot_to_labels(labels_one_hot)),\n", " node_size=np.sum(200 * labels_one_hot, axis=-1) + 150)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each node symbolizes one member of the Karate Club, and the edges indicate a close social relationship.\n", "The colors indicate the group affiliation of each member." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can further make a more sophisticated visualization of the data, by plotting the graph using the `spring_layout`" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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p0iU6duyIp6cnVatWNXgcgiDQoUMHGjRoQHR0NM+fP+fq1as8fvwYBwcHne1oVCp2d+pE8NWrqHQUE4lUipmtLUMuXaJAtWrpzt/5/XdOubnpbC8FhZUVrXNIpEQnCRERkX89Kd58+fPnp0ePHmzcuFGv/nFxcQiCYLSTxM6dO3nz5g39+/fnt99+IyQkhNmzZ+slToIgcGjIEF7qIU4AglZLUlQU7s2bE/nyZZpzr729OTlhgt7iBKCKj+f01KkEe3rq3Tc7xBmUiIjIv57Y2FgKFy7MixcvCAkJoXnz5gQFBeksOHv27GHo0KE8fPiQ4sWLGzSGsLAwKleuzPHjx/n111/5+PEjAQEB+Pn5Ic8g715mPD9/nj+7dEEVF2fQOCQyGc6tWzPgxInUYzvbt+fZqVNghByUaNGCwefOGdw/I8QZlIiIyL8eGxsb2rRpw4EDB6hQoQK1atVi+/btOvdPmUEZ48U3ceJEXF1dsbGx4eDBg9y7d48VK1boJU4AXkuXGixOAIJGw4sLF4h5+xaAmLdveXHhglHiBBB87RpRwcFG2fgcUaBERET+E6Qs8wFMmzaNFStWoP2f11t2xMXFodFoDF7iO3LkCLdu3WLu3Ll8//331K9fn1KlStGuXTu97ES/fp3qXWcstzZtSvPTaASBmybKHJ+CKFAiIiL/Cdq1a8ft27cJCQmhadOmWFtbc+KTZa6siIuLQ6vVGiRQUVFRjBs3ji1btuDv75/qUq6v1x6Ar4eH3n0yQpOUxK3/7cM9OXYscw9AfWwqlTzV8fPUFVGgRERE/hNYWlrSqVMn9u3bh0QiYdq0aSxfvlynvrGxsWg0GszMzPS+7owZM+jQoQNNmzZl5syZVKhQgV69elGxYkW9bb1/8sQkYgIQ/+EDglabGoRrChIjI01mC0SBEhER+Q/x6TJfz549efHiBT4+Ptn2i4qKQiaTIc2mDtPnXLx4kRMnTrBkyRLOnDnDixcv8PPzY968eQaN35QCIJVKUSUkmMxeTiAKlIiIyH+Gli1b8ujRI4KDg1EoFEyaNEmnpbaYmBgUCoVe14qPj2fkyJFs2LABW1tbZs2aRe7cufn2228NrtVkoYc7enZotVoUlpZY5MplMpumHB+IAiUiIvIfwszMjO7du7N3714Ahg8fztmzZwkKCsqynyECNWfOHOrUqUOnTp3Yu3cvcXFxREVFMWHCBEOHT+7SpZGZKB+gVe7cSKRS8jZsiKCnJ2FGyMzNKd2hgwlG9v+IAiUiIvKf4tNlPjs7O4YPH86aNWuy7BMTE6PX/pOPjw/bt29nzZo1KJVKvv/+e1QqFUuXLjXKVb2aq6tO+fSyQ2ZujrZGDerWrcv0P/802sU8hTpGVi3+HFGgRERE/lM0bdqUN2/e8PTpUwDc3Nxwd3fnYxbOAnFxcToLi1KpZPjw4axcuZJ8+fLx+++/Y25uTrFixejWrZtRY09QKEjIlw9j5SQpKYmHNjbMnj2b7xcv5pVCYbTN4o0bY1+0qJFW0iIKlIiIyH8KmUxGr1692LNnD5Bcebdjx45s3rw50z6xsbE6C9SSJUsoVqwY/fr1Iy4ujnnz5hEWFsbKlSsNnv18+PCBWbNmUaFCBRJq1kRuaWmQHQAkEkq1bEnfkSOZNWsWW7dupdf69SisrAw2Kbe0pJmBjh9ZIQqUiIjIf44+ffqkLvMBTJ06lXXr1qFUKjNsHx8fj6UOohAQEMDatWvZuHEjEomE1atXkytXLjp37kyNGjX0Hmd0dDTz58+nTJkyfPjwgXv37tF6zBgeabWg555YCgobG/bGxzNx4kTmz5/P1atXaTt8OB1++cUgkVJYWdF2zRqKNmhg0HiyQhQoERGR/xz169cnOjoaf39/AKpWrUr58uXTiNan6CJQGo2G4cOHs2DBAooWLcr79+9Zvnw5ISEh/PTTT3qNLz4+nqVLl1KqVCmePXuGt7c3mzZtYseOHQwdOpQRJ05Qslkz/QRFKkWjULDbzIxOgwbh7+9P165dU2d11YYMof0vvyC3sgIdZ3pyS0varllDzZEj9Xp/Og85R6yKiIiIfMVIpdJ0s6iUwN2M8mcnJCRkK1Dr16/HzMyMUaNGAfDzzz+TO3dupk6dSkEdq9omJSWxbt06SpUqhY+PD5cuXcLDw4N8+fLRo0cPjhw5klybqnlzBpw8SemePUEuR5ONoAgKBVGAdPRovF68YMyYMRl6JVYbMoQhly5Run17ZObmyDPInCEzN0dmYYFzmza4XrhAjREjdHpvhiBmMxcREflPcvv2bfr06cPTp0+RSCQIgkCVKlVYsWIFrVu3TtPWysqKxo0bc/r06QxtvXjxgtq1a+Pl5UWZMmUIDg6mUqVK2NnZ8fTp02zFTaVSsW3bNhYsWECVKlVYsGAB1atXB+Dhw4d069YNFxcXVq9ejVqt5vDhw+zYsQMvLy+6urjQQKHgw5kzqd54giAQFx+PHAiWSrFp3ZqZmzdTqFAhnT+fmHfvuLVxI0+OHiXhfwHCFg4OlG7fntrffINd4cI62zIYQUREROQ/iFarFUqVKiX4+PikHtu6davQunXrdO0kEonQvXv3TO20bNlSWLx4ceqxIUOGCAUKFBB27tyZ5RjUarWwfft2wdnZWWjRooXg5eWV5vyBAweEvHnzCps3bxZOnjwpDBw4ULC3txfatm0r7NixQ4iJifl/W0lJQtCVK8KD/fuFjePGCRUtLITa5coJAQEBOn8mXxuiQImIiPxn+eGHH4SpU6em/j8xMVEoVKiQ4Ovrm3osLi5OUCgUQv/+/TO08ccffwg1atQQVCqVIAiC8ODBA8HW1laoVauWoNVqM+yj0WiEffv2CRUqVBAaNGggXLhwIc15tVotzJw5UyhQoIDQp08fIX/+/EKdOnWENWvWCCEhIZm+n7NnzwrVq1cX6tatK0ycOFEYO3aszp/F14goUCIiIv9Z/P39hSJFiggajSb12M8//ywMHjw49f9hYWGCjY2NMGzYsHT93759K+TLl0+4e/du6rGOHTsK9vb26WZDgpA82zp+/LhQvXp1oUaNGsKJEyfSiZiPj4/g7OwsWFpaCk5OTsKcOXOEJ0+eZPk+7t27J7Rp00ZwdnYW/vrrL0Gr1QoXLlwQGjdurOtH8VUiCpSIiMh/mkqVKglXr15N/f+HDx+EXA4Owq2DB4U/u3UTlhYoIMyUSITZFhbC2tKlhUvz5gkx/5vFdO/eXfjuu+9S+3p5eQl2dnZCr1690l3n/PnzQv369YUKFSoI+/fvTyNMYWFhwrp164TKlSsLUqlUqF69unDt2rVMZ2ApBAcHC66uroKjo6Owbt06ISkpKfVcaGiokCtXrmxtfM2IThIiIiL/aX766SfevXvH+vXrEQSBe1u3cnDyZKQJCUjU6nRpgOQWFgiAVaVK7ImI4PLDh1hYWCAIAvXr18ff358HDx6kloa/fv06P/zwAy9fvmTevHn07dsXmUxGXFwcR44cYceOHXh6elK+fHkCAgLYtGkT/fr1y3LMkZGRLF68mC1btjB27FhmzJiBnZ1dunaOjo7cu3dPL+eIrwnRzVxEROQ/TZ8+ffjrr79ISkjgwMCBnHRzQxYdjUSlyjBHnToxEU1iIlG3btExJIRXFy8CcOrUKR4+fMiECRMoXrw4d+/epUOHDvTt25f+/fvz8OFD+vTpw7lz5xg8eDCFCxfG3d2dXr160adPH96/f4+Xl1eW4pSUlMTq1aspU6YM4eHh+Pn5sXDhwgzFCaBSpUo8ePDANB/U34DxKWxFRERE/sGUKlWKYkWLsqVtW6Jv3UIVH69TPymgTUzkr5496XP4MBMnTkQmk9GtWzd69uyJl5cX3333Hfv37+f+/ftMnz6dP//8k2LFijFgwACWLl2KIAj06tWLPHny4OPjg729fYbX0mq1/PXXX3z33XeUK1eO8+fPU7ly5WzHWKlSJfz9/WnVqpU+H0k6BEEg1M+P6FevUMbGYmZri4OTE44GFF3UB1GgRERE/vN0L1iQ8FOnkKrVevdVxcezs1MnoiQSylSpQseOHZk+fTpz587lwIEDVK1aFY1Gw4ABA7hy5QplypQBwNPTkz59+jBmzBi+++67TIshXrp0iRkzZqDVatmyZQvNmzfXeWwVK1bk5s2ber+nFJSxsfjt3InX0qXEhoYilcsRtFokUilalQq7YsVo9O23VOzTB4Ux+QEzQdyDEhER0Yv4iAju/P47jw8dIv7DBwAsc+WidIcO1Bw1Cpv8+f/mEeqHVq1mab58JBlRrVYFXAdqTp+Oo6MjBw4c4NmzZ/Tp04cBAwZQt27d1JRCgiCwYcMG5s+fz9atW2nfvn2GNh88eMDMmTPx9/dn0aJF9OnTR++Kvp6enkyZMgVvb2+939P9Xbs4OnIkSCSo4uIybWdmYwNAtx07KNeli97XyQpRoERERHQixNeXKwsW8PT4cZBIUH9WLlxuaYkgCDi3bk3TH3+kUK1af9NI9ePRoUMcHDwYZUyMUXaUMhkbrKxo17EjAwcOpFWrVunSCSUkJDBmzBju3r3LwYMHcXZ2Tmfn7du3zJkzh8OHDzNr1iy++eYbg2tIRUZGUrRoUaKiovQSN69ly7g0d67Oy52Q/Ptvs2oVtUaPNmSoGSI6SYiIiGSL/549/F6/Po8OHkSdmJhOnADUCQloEhN5cvQoW5s25d7WrX/DSPXHc8kSo8UJwFyh4Nwvv7Br1y7at2+fTpyCgoJo2LAharWa69evpxOn6OhofvzxRypXrkzu3Ll5/PgxkydPNqrAoYODAw4ODgQHB+vcx2/HDi7qKU6Q/Ps/PXkyj48c0XeYmSIKlIiISJY82LuXw0OHok5IQNBqs+8gCKjj4zk+fjx3//gj5wdoJG9v3zaJHSExkZDr1zM8d/bsWerVq4erqys7duzA2to69ZxKpeKXX35JzeF39+5dlixZQq5cuUwyrooVK6Zmbc+OpJgYjo4ejVpPcUpBnZDAgUGDUCclGdT/c0SBEhERyZSQe/dSxUlf1PHxnBg/nleZ3LS/BtRJSQgajcnsRb15kyYbuiAILF68GFdXV/bs2cPEiRPT7EXt37+fihUrcuTIEU6dOoW7uzvFihUz2Xjg/z35dMFv+3bjS8prtQTs22ecjf8h7kGJiIhkyp4ePXh08GCG8UC6UrJlSwadPWvCUelHQkICoaGhhIWFERoamuZ1WEgIZffuxchbciqPZDL2CgK2trZYW1sTExODIAhUr14dR0dH7OzssLW1JSoqiosXL6LRaBg4cCANGzbEzs4u9XzKa3Nzc6MFY9u2bZw7d44dO3Zk2U4QBNaULElUUJBR1wNwrFyZsX5+RtsR3cxFREQyJC48nGcnThglTgAvr14l6tUr7IsWNcm4BEEgMjIyrdB89vPT1yqVCkdHR/Lnz5/6M3/+/Dg5OVG3bl2eHTyIoFKZZGyDv/mG7StXcvv2bQYMGEDDhg355ptvSEpKIjo6midPnrBnzx6Cg4Np0KABRYoU4eXLl/j7+xMdHU10dDQxMTGpr7VabYbCldHrzM4XKVJEpxnUuzt3iA8PN8nn8DEwkPdPnpDnfy71hiIKlIiISIbc2bJF58qq2XFz/XpaLVmS6Xm1Wk14eHiWQpPyMzw8HEtLy3Si4+joSNWqVdMds7Ozy3IWssPdncAzZ4x+j2Y2NpTu0IGjR48yevRofv75Z4YPHw5AaGgo8+bN46+//mLGjBlMmDABiwyKAX5OUlJSqmB9Klyfv3716lWa45+ej46OJjIyEgsLi1TRykjQcoWEYGFAHFhGSBUKol69EgVKREQkZ3h06JBBe0+fo0lK4vauXbwsXTrT2U5UVBS5c+dON8txdHSkfPnyaQTH0dFRp5u7rjSYMYNXXl4oY2ONsqOwtmbr5cvs2LmT48ePU7t2bWJjY1m5ciVr167F1dWVR48ekSdPHp1tmpubY25uTt68eY0am7OzM/v376dgwYKZitzHDx9QarWmWe4UBJN4RooCJSIikiGJHz+azFZMeDhPr1/H0dGREiVKULdu3TQilCdPHmQymcmupw/y0qWJ02hIXwBdd9QSCT4KBRHe3ty6dYtcuXKxefNm5s6di4uLCz4+PpQoUcJkY9aXSpUqERgYSLVq1cifPz+CIBAeHk5gYCDR0dGEhoYSEhpKXq3WqM8hFYkEM1tbo82IAiUiIpIhOrmU64idrS2zN2wwKqbH1CiVSlauXMmyZcuYULcuXLpksC0VcOHjRzoULcrp06f56aefKFiwIEePHqVmzZomG7M+aDQaXr9+TWBgICqVilWrVrF7924CAwMJDAxELpdTqlQpnJ2dcXZ2prqLC+E+PmhMMWtWKrE3gTeiKFAiIiIZYmGiOByA0Kgo7OzsKFiwYOpNsVSpUmlukJ/GBuU0Z86cYcKECZQpU4azu3dzumdPlAbaUgIVFi9mT61aDBo0iJ07dzJx4kSWLl2qd2oifUlKSiIoKIhnz56lCk/K66CgIPLkyYOzszMSiYSoqCjGjx+f+pl/HmclCAJr3d2JNIEXX+7SpclTurTRdkQ3cxERkQy58OOPeC1bhsbIoEupQkHtsWNpsXw5wcHBPHv2LPUmmvL6xYsX5MqVK51wZXYzNZTg4GCmTJnCnTt3WLNmDe3btmWNkxMx794Z5K0oADbly3OzUiWuX7/O/PnzqVChAt988w329vZs3LiRsmXLGjXmmJiYNMLz6euQkBCKFi2a5rNKeV2iRAmsrKwA8PPzo2/fvgQEBGR5LZ+NGzk7fXqWufeyw8zGho6//krl/v0NtpGCKFAiIiIZEvP2LWudnVEnJhplR25hwVh/f3JnkHcuBa1Wy5s3b9IJV8prMzOzdMKV8trR0THbWKGkpCRWrlzJ8uXLcXNzY8aMGVhaWhKwbx+Hhw0zakNfDVhOm8akefNSBUGtVrN+/XoWLlzI+PHjmTlzZqaOHZ/uB2UkRLGxsanC87kQFStWLF1Kpczev4ODA5GRkVkusybFxLCiQAG90xx9ipmdHdPDwpCbYDlXFCgREZFM2dm+Pc9OnTIqFqpYo0YMvXrV4P6CIBAWFpbm5v2pgCUlJWU48ypVqhSFCxfm7NmzTJgwgXLlyrF69WpKliyZantz7dq8u3XL4LFB8gyxzoQJtFmxIt25V69e4ebmRkBAAHPnziV//vzpRCij/aBPhahgwYLGZ3cAKlSowJ49e7KtI3V/926ODB9ukAen3NKSnnv2ULZTJ0OHmQZRoERERDLl9Y0buDdvbrC7udzSkv7HjlFCjxpG+vLx48c0M46Um//jx4+JiIhAJpNRvXp1GjRokEbErBMS+KNuXZO40pvZ2uL2+jWv373LcCkuMDAQQRDIkycPLVq0oGLFijmyhJkVvXv3plu3btmWkwfwWrGCS7Nn653NvO3q1dQcNcqYYaa1aTJLIiIi/zqK1KtH29WrOT15st7LPgorK5rNm5ej4gSQK1cuatWqRa3/lfdISkpixYoVBAQEMHPmTLp27crr16959uwZ9+/f5+DBgzx79ow8r1/TVqvFzARjiI2NpXTevFgVK5ZmBtS8eXOcnZ0pWbIkWq2WOXPmsGPHDlq0aEHv3r1z3IniU/RJGttg6lRsCxXi6IgRutWDkkjovmMHZTt3NtVwAXEGJSIiogO3Nm7k9JQpOu9HyS0tcZk/nwbTpuXwyNJy+vRpJkyYQPny5Vm9enWWsUdHvv8en0WLTPKUrrC1pd+xY5Ro0iTbtvfu3WP06NGYmZnx66+/UqFCBROMIHv279+Ph4cHhw8f1rmPMi4O/927ubZkCbHv3qWrqGvv5JRcUbd3b+QmDJ5OQRQoERERnZjQpQv2t29j+f49glaLRpnWMVuqUCCVyShYowbN5s+nZIsWX2xswcHBTJ48mXv37rF27Vo6dOiQZfu4uDgGlilDtbAwMEF6H3N7ewadOUPhOnV0aq/RaNi0aRNz585l1KhR/PDDD1jmQMn0T3n8+DEdOnTg2bNnevcVBIEwf3+iX70iKSYGczs7HIoXJ18Oi6soUCIiItly+/ZtOnTowKNHjyAykpvr1/Pk6FESo6JAEDC3t6dU27bUdXMjd6lSX2xcKct5K1euTPXOy8hbThAE3r59i6+vL76+vmzcuJGCERG0SEjAFKHDCisrxvj66v3e3759y6RJk7hz5w4bNmygdevWJhhNxqjVauzs7AgPD/+iMWfGIAqUiIhIlmi1Who0aMCoUaMYNmzY3z2cVE6dOoWbm1u65byEhAQCAgLw9fXFz88v9adMJqNq1aokJCTw7t07Nq9ciWevXibJZK7InZtpb99iZqBr9YkTJxg3bhz169dn5cqVFChQwOgxZUS1atX47bffUvfrvnbEgoUiIiJZ4u7uDsCQIUP+3oH8j5cvX9K9e3e++eYbvvvuO0aOHMnu3bvp27cv5cuXJ3fu3AwbNoyLFy9SuHBhZs2axYMHDwgLC2P8+PE8fvyYRo0a0XvYMMLt7Y3O2C4xM8Pfzo6ixYoxadIk7t69i77P/e3bt+fBgwcUK1aMKlWqsGnTJrQmTDWVgj7FC78GxBmUiIhIpkRGRlKuXDmOHTv2tz51x8fHc/fuXZYvX87JkycpWLAgUVFRmJmZUbVqVapUqZL6s1y5cpiZpfXNe/PmDcuXL2fdunUULFiQ0aNH07VrV3YsWoRs926jPPnkFhZMefuWN+/fs337djw8PLCxsWHw4MEMGDCAQoUK6WXv/v37jBkzBkEQ2LRpE1WqVDFidGlZvHgx79+/Z9myZSazmZOIAiUiIpIpEydOJDExkV9//fWLXE8QBIKDg9Mszfn5+REUFIQgCOTPn59Bgwbh4uJC5cqVyZ8/f6a2EhISOHToENu2bePmzZtotVrGjRvHggUL8PDw4Pvvv6dtmzbU8fcn4v59g1I6KaysqDV2LK2XL089ptVq8fT0xMPDg/3791O7dm0GDx5M165ddd770Wq1/Pbbb/zwww8MGTKEOXPmmGTf6NixY/zyyy+cPHnSaFtfAlGgRET+AQgIKFGiRo0FFsjI+dIUfn5+tGzZkocPH+pVw0hX4uLi8Pf3TydGVlZWqbOhlIzgQUFBrFu3jvbt22dpUxAEvLy8cHd3Z9++fanisHXrVipVqkTv3r1xc3NDoVCwdu1aateuTWJUFJtr1CD69et0nolZIbeyokSzZvQ7ehRJJvFMCQkJHD58GA8PD65fv063bt0YPHgwTZo00SkGKjQ0lClTpuDl5cX69euz9U7MjhcvXtCkSRNevXpllJ0vhShQIiJfKQICr3mFJ9d4xEMApEhRo8YWW+rTkBrUxAor019bEGjatCn9+/dnzJgxRtsKCgpKJ0SvX7+mXLlyqWKU8i9fvnwkJiayfPlyVq9ezaRJk5g2bVqWRQqDg4Px8PDA3d0duVyOq6srAwcOpEiRIsyYMQNPT0+KFSvG1atXWbJkCf3790+TPij+/Xu2t2zJ+ydPdApIVlhbU65rV7ps3YpMh1x4AO/evWP37t24u7sTGRnJoEGDGDx4MGV0qDp79uxZxo4dS/Xq1VmzZo3ey4YppJSQf/36NQ4ODgbZ+JKIAiUi8hUSyDOOcoQYYlCjQiD911SBAgGBClSkI52xwHSBkrt27WL58uX4+PjoVUgwNjaW+/fvpxGj+/fvY2trm2afqGrVqpQuXTrDRKcnT55kwoQJVK5cmVWrVuHk5JThteLi4ti/fz/u7u7cu3ePPn364OrqSp06dVLFZ+vWrUydOhWAb775hpkzZ2JjY5OhPXViIr4eHhyeMQNJXByo1Wm8yFLivCIUCsoNH86olSsNzpHn6+uLh4cHO3fupESJEgwePJg+ffqQO3fuTPskJCSwaNEiNm7cyJw5c/jmm28MKvJYt25dVq1aRYMGDQwa+5dEFCgRka+M29ziOMdQo5v7swwZ9jgwnBHYYmf09WNiYihfvjx//fUX9evXz7CNVqvlxYsXqbMhX19f7vv68vbtW8pXrJhuVqTLEmFQUBCTJk3iwYMHrF27lnbt2mV43atXr7Jt2zYOHTpEgwYNGDJkCJ06dUozwxIEgWXLljFr1iyaN2/O5s2bda5oW79ePSo5OCDz8yOfQkFuGxsCX7+m0/Dh1Bo7Fr/Xrxk1ahQPHz5ELjcuD4VarebMmTN4eHhw8uRJWrZsiaurK23btk3n6JHCw4cPGTNmDPHx8WzevJnq1avrdc3hw4dTt25dRpkwZ15OIQqUiMhXhD/3Och+VDqKUwoSJOQiF2MYZ/RMavr06URERLB161YAoqOjU2dFqWJ0/z65HRxoVKAApUJDkYWEIPwvI4PcwoLiTZvScPp0nFxcsp1lJCYmsmzZMlavXs3kyZMzXM57/vx56hKejY0NQ4YMYcCAARnGC/n5+TF27Fh8fHz4/vvvmTNnjs7vPTExkTx58lC1alUcHBzo3Lkzbdq0wcXFhaBPCvk1b96cgQMHmjQuLDIykn379uHh4cGjR4/o27cvgwcPpmbNmuk+Q0EQ2LZtGzNnzqR///7Mnz8f22xKrKsSEniwZw9HZ81CExGBRKNBZmaGZa5cVHV1pfa4cdgXLWqy92MKRIESEflKiCaKNazSW5xSkCOnHOXpTV+D+mu1Ws6cOUPv3r0ZOXIkgYGB+Pn5ERoaSsWKFVOX5ipXrozg7c3tlStRxcejjI3N0J6ZjQ0WDg40/+knqg4enGGbEydO4ObmluFyXkxMDH/99Rfu7u4EBATQr18/hgwZQvXq1TMUvYiICH788UcOHDiAjY0N/fv3Z8GCBXp9Bl5eXowbN46nT59SvXp15s6dS/369cmdOzcJCQmp1/X09GTgwIE8fvw405mOMTx//jzVZd3CwiLVZb1IkSJp2oWHhzN9+nQuXLjA2rVr6dq1azpbqvh4zn/3HXd+/x0JZPj7kpmbI5FIKNa4MW1Xr87xFEa6IgqUiMhXwjnO4IUnagzPDSdHzlRmYE3WLslRUVHcv38/TbYFf39/NBoNzs7OdO3aNXWZrlSpUql7HVq1msPDhvFw/36ds5srrKyoOXo0rVesSL3BZ7acp9VquXjxItu2bePo0aM0a9YMV1dXOnTokKkQqFQqNm7cyMKFC+nTpw+RkZHExMRw4MABvbOFr1ixgitXrhAREcHLly/x9PSkePHi2NnZERwcnMaxoG3btnTt2tVoJ5KsSPFK9PDwYN++fdSoUYPBgwfTvXv3NG7nFy9eZMyYMZQvX55169ZR9H8zobiwMNybN+djYKBuiX4lEhTW1vQ7fDjHs9DrgihQIiJfARo0LGERiRhZvRY5zXChCc2S7Wo0BAYGpvGe8/X1JSIigkqVKqVxXHj+/DnLly/n7t27Ge6tCILAkeHDebBnj0GlN+pOmkTDH39MXc6bMmUKU6dOxcLCgqdPn+Lu7o6Hhwd58uRhyJAh9OvXD0dHxyztnj17lkmTJlGoUCFWr17N5cuX2bBhA9evX892ySsjevTogVarpXTp0qxdu5a4uDhkMhllypTh6NGjacq337x5kx49evD06dMsPQxNRWJiIkeOHMHDwwNPT0+6dOnC4MGDadasGVKplKSkJJYsWcLatWv57rvvGDNsGH/Uq8fH58/R6pnOSWFlhevFizonv80pRIESEfkKCOABB9iPEv2DRT9HEi/l7cQQ/Pz8ePDgAfny5UuXbaFkyZJpPMDi4uIoX74827dvp2nTphnavb9rF0dHjcqyNlBWSM3NOZM7N/nq1WPVqlXY29uzd+9e3N3defbsGQMGDMDV1ZWqVatma+vZs2dMnToVf39/Vq5cSefOnbl8+TJ9+vTBy8sL5yzKy2eGIAgUKlSIIkWKMHLkSFatWsXDh8nu/Y0bN2bhwoXpPptOnTrRunVrJkyYoPf1jCE0NJTdu3fj4eFBREQEAwcOZPDgwZQrV44nT54wduxYnG/fpmhCAlo9Yrs+xcLBgcmvXiXXe/qbEAsWioh8BYTwziTiBKA111C1dlWGDBlCpUqVsLe3z7bPzz//TKNGjTIVJ4DL8+cbLE4A2qQkuubKRcVRo5g5c2aq19rMmTNp27Zthi7nnxMTE8NPP/3Eb7/9xrRp09i7dy/m5uYEBQXRt29fduzYYZA4QXKOP0EQePjwIXZ2dpT6JDN5gQIFCA0NTddn/vz5dOjQgeHDh2NlZfp4tMzInz8/kyZNYtKkSdy/fx8PDw+aN29O0aJFGTx4MH+sWYN7jRp6z5w+RaNS4bdzJ7VGjzbhyPVDTBYrIvIVEIfhN/7PMZOZMWjUIBo2bKiTOD179oxNmzZlmZ/tjY8P0SbIPhAZEMDPM2bQqFEjAgMD2bdvH506dcpWnLRaLdu2baNs2bKEhCTPDmfOnIm5uTlxcXF07dqVb7/9llatWhk8tuvXr1O6dGmqVKnC69ev0wlUSEhIuj7Vq1enfv36bNy40eDrGkvlypVZtmwZwcHBzJ8/Hy8vL0bXqoVaozHKriouDq9ly/ROfGtKxBmUiMhXgALdshHogoCAXMevtiAITJw4kRkzZlC4cOFM291YtUrnarpZoVAo+K5FC9qMG6dznxs3buDm5oZUKuXQoUPU+WRfRBAEhg0bRtWqVZk0aZJRY/Py8sLCwoLatWvz7NkzKleunHouf/78GQoUwLx582jZsiWjR4/ONAj4SyCXy2nTpg2tWrZk2cmTJH78aLTN2JAQXt+4QdFM4uFyGnEGJSLyFWCDrcny62nR6hwLdezYMQIDA7O9ub++cQPBBOUfBJWKYE9Pndq+ffuWQYMG0aNHDyZMmICXl1cacYLk7NwvXrzg119/NTirQwrXr18nPDycZs2a8ezZM52W+CC5hIWLiwvr1q0z6vqmIjYkxCQPE5DstfnWx8cktgxBFCgRka+AClRAgnE32BRKUFInsUtMTGTixImsXbs221geZUyMScYGkBgZme24Fi1aRJUqVShWrBiPHz9m0KBB6VzGjx07xvr16zl48KDRXnRxcXEEBATw7NkzGjRowNOnTyldunTq+axmUABz5sxh5cqVREVFGTUOU5AYGYnUyAwXKWiSkkj48MEktgxBFCgRka+A3OShEJkvsemKGWY0oolObZctW0b16tV1KjNuqhsekGlyVUEQOHjwIBUqVODWrVvcvHmTn376KcNls4cPHzJs2DD27duX5dKkrty6dYvixYtTpUoV5HI5ISEhFCtWLPV8ZntQKZQrV4527dqxZs0ao8diLFK5HEy0bySRSpHlQCCyroh7UCIiXwmNaMw+3qHEMLdgAAssKEnJbNsFBQWxZs0abt++rZNdy9y5ic3iBq0PVvnypTt2//59Jk2aRFhYGFu2bKFFixaZ9o+MjKRLly4sXrw401yB+uLl5YW9vT1NmzblxYsXFC9ePE0sWFZLfCnMnj2bevXqMWHCBHLlymWScRmCVZ48epUNyQqZhQWWOVBqRVfEGZSIyFdCGcqSD0eD96IUKGhPR52WCqdMmcKkSZMoXry4TrYrDxiA3NLSoHF9isLaOk3ao/fv3zN+/HhatGhB9+7duXv3bpbipNFo6NevH23btjVpHrzr168THR2d4f4TgKOjI2FhYVmWYS9VqhRdu3ZlxYoVJhuXIVjlzUvuT5YnjUKrpXQGSXu/FKJAiYh8JUiRMpgh2Gpt0Sj1cxFWoMCFFlSgYrZtT58+ja+vL9OmTdPZfo2RI022bFSpb1/UajXr16+nfPnyQPKS3bhx47LNDv7dd9+RlJRkUhFISSf08uVLGjZsmKFAmZubY2Njw8dsPON+/PFHNm7cSEREhMnGZwgNZ8wwSYBt0QYNsP9kqfNLIwqUiMhXhIVgwZ3RvqheqTETsl/7lyJFjoJ2dKARjbNtr1QqcXNzY82aNXo5FljlzYt55coY48cnVSioNmQIV65fp1q1ahw8eJDz58+zfv16ncpx7Nq1i7/++ou9e/fqFNSrK8+ePUMqlVKlShVsbGwyFCjI3lECoHjx4vTp04elS5eabHyGULF3b6NtmNnY0GDGDBOMxnBEgRIR+YpYvnw5j+4+Yk6heXSX9KQIRZAjR6tOKw1mmKFAQW3qMJ4J1KK2TvZXrVpF6dKl6dixo85jCg4OplOnThz4+BGFEd5yMgsLtj19ysiRI1mwYAHnzp1LE2uUFbdv32bixIkcOnSIvHnzGjyGjLh+/Tr58uWjWbNmAJkKVHaOEil89913/Pbbb9nuWeUkcgsLms6Zg8I666TBmSEzMyNPmTI4GxH4bApEgRIR+Uo4deoUq1at4uDBg1hbWlOBioxiLN8wnvtr/Cn1oTRVqUYDGtGRzszkezrQidzoton9+vVrli1bprOnmVarZf369dSoUYO6dety6cED+h46ZNBelKBQsFMioXqzZgQEBNCtWzed45ZCQ0Pp1q0bmzZtokqVKnpfOzu8vLxISkpKTfP07NmzNC7mKejiKAFQpEgRBg0axOLFi00+Vn2oP3UqFXv3RqFnCiapQoFNgQIMPHMGiZ7Z4E2NmCxWROQr4MmTJzRq1IgDBw7QqFGjNOfi4+PJkycP0dHRRi1t9evXj1KlSulUIykgIICRI0cikUjYsmVL6l4RwIuLF/mzc2c0KhWapKzzB0oUChLVasLbtWPu5s16u4QrlUpatGiBi4sL8+fP16uvrlSuXJnAwEBCQ0MxNzfHzs6O6OjodLFhkyZNolixYkyZMiVbmyEhIVSsWBE/Pz+TuMEbiqDVsq5TJ8JPnkx22c7mdq+wtiZXyZIMPn8e6wy8Lb804gxKRORvJjo6mi5durBw4cJ04gTw+PFjSpUqZZQ4Xbp0CS8vL2bNmpVlO6VSyfz582nSpAkDBgzgypUracQJoISLC+MePaL+1KmYOzhglkFZC5mVFUq5nEeOjrQ9fpwtx48bdKN2c3Mjd+7czJ07V+++uhAdHZ2a1sjW1pagoCAKFy6cYeCyrjOolLbDhg1j0aJFph6yXrx5+5aFPj402riRUu3aITM3R2ZunqaNIJEgKBTkLl2admvXMvLmza9CnECMgxIR+VvRarUMHDgQFxcXRo0alWGbBw8eUMGICqcqlYrx48ezcuXKLDNu37hxgxEjRlCiRAnu3r2bWvQuI+wKF6bFTz/RbO5cHh08yNlNm3j1+DFVqlbFLzAQr4gIRq9fzwJXV72LBqawadMmrl69yvXr1w22kR03b97E0dERFxcXIPP9J0gWnZTyG7owY8YMypUrx4wZM3R25zclWq0WV1dXJk6cSJvRo2H0aGLevuXOb78R4utLwvv3mNnYECeTsefJE84GBBidLsrUiAIlIvI3MmfOHKKioti3b1+mbR48eEDFitm7j2fGL7/8QqFChejevXuG52NjY/n+++/Zu3cvq1evpnfv3jrfqGQKBRV79+bUq1d4JSTgfvMmI0eO5Mx33xlUMDCFK1euMGfOHDw9PbGzszPYTnZ4eXkhCEKa/afMBEoXL75PyZcvH2PGjGHhwoVs2bLFJOPVh1WrVpGUlMTMmTNTj9kWKkTT2bPTtFMqlUzNm5cPHz7o5E35RRFERET+Fvbu3SsUK1ZMCA0NzbJdp06dhH379hl0jXfv3gl58uQRHj58mOH5kydPCsWLFxdcXV2FiIgIve1rtVrh0KFDgoODg1C2bFnh2bNnBo3zU4KCgoQCBQoIp06dMtpWdrRq1UqwsLAQoqKiBEEQhAkTJggrV67MsO2dO3eEqlWr6mX//fv3Qp48eUzyuejDvXv3hLx58wrPnz/XqX379u2FPXv25PCo9EcUKBGRv4GUG8jt27ezbevs7JypwGSHq6urMH369HTHw8PDhQEDBghOTk7C6dOnDbLt7+8vtGzZUqhQoYLQoUMH4ZdffjHIzqfExcUJ1apVE5YvX260rezQaDSCjY2NUL169dRj7dq1E44cOZJh+zdv3gj58+fX+zpz5swRXF1dDR2m3sTHxwsVK1YU3N3dde6zevVqYfjw4Tk4KsMQBUpE5AsTHh4ulChRQti1a1e2bePi4gQLCwtBqVTqfR1PT0+hcOHCQnR0dOoxrVYr7Ny5U8ifP78wZcoUITY2Vm+779+/FyZMmCDky5dPWLt2raBUKoXu3bsLe/fu1dvWp2i1WqFPnz7CwIEDBa1Wa5QtXXjw4IGQK1cuYcaMGanHSpcuLQQEBGTYXqlUCnK5XFCr1XpdJzIyUsibN6/w6NEjo8arKxMnThR69eql12f44MEDoVixYl/kc9cHUaBERL4gSqVScHFxEb799lud2t++fVuoVKmS3tdRq9VCtWrV0ohgUFCQ0K5dO6Fy5cqCt7e33jZVKpWwYcMGwdHRURg7dqwQHh6eeq5x48bCxYsX9bb5KT///LNQq1YtIT4+3ig7uvLbb78J+fPnF06cOCEIQvL7Mzc3FxITEzPtky9fPiEkJETva/30009Cv379DB6rrpw+fVooUqSI8P79e736abVaoVChQsLjx49zaGSGIbqZi4h8QaZNm4aFhQU//fSTTu0DAgIMcpDYvHkzdnZ29O3bF41Gw7p166hZsyYNGzbk1q1b6Qr/ZcfFixepUaMGe/fu5ezZs2zYsCFNRofw8HDyGeGafPz4cdatW8fBgwexNEFSWl24cuUKHz9+pGHDhkByxowCBQpg/pkb9qfo6yiRwoQJEzh//jz+/v4Gjzc7IiIiGDZsGNu2bSN37tx69ZVIJLRu3ZozZ87k0OgM5O9WSBGRrxm1oBZihVghWogWlIL+y2yf8scffwhlypQRPn78qHOfmTNnCvPmzdPrOuHh4UK+fPkEPz8/wd/fX6hXr57QqFEjg/axnj9/LnTv3l1wcnIS9u/fn+kSUJ48ebJ19siMR48eCfny5RM8PT0N6m8oxYsXFypWrJj6/1OnTgktWrTIsk/Lli0N3rNbunSp0KNHD4P6ZodWqxW6d+8uTJkyxWAbO3fuFDp37mzCURmP6GYuIvIZGjQ84THXuMprXqWWv9CgwQEHGtKYqlTDnMyftD/nxo0bfPvtt1y5cgUHBwed+z148ABXV1ed2yeRxIJj83DdOZi/VHvw9falx4ruDK83glxS3WsUxcbGsnjxYjZt2sTkyZPZsWNHpjMbtVpNZGSkQS7KkZGRdO7cmZ9//pkGDRro3d9QPnz4wLt375gwYULqsaxczFMwdAYFMG7cOFauXMm9e/eoVq2aQTYyY9u2bTx9+pSdO3cabKNly5aMHTsWlUpl0mS8xiAKlIjIJ/hwk3OcRYMGJclpfNSoU89/5COnOckpTlKLWrShXbb1m96+fUvPnj35448/KFeunF7j0XWJL5wwvPDinuYOlj0tMbNRAAJVa1QhjhjWsZriONGIJpSkZKY1owRBYOfOncycOZNmzZrh6+ubbQaI9+/f4+DggEymXx0rjUbDgAEDaN26NcOHD9err7F4e3tjZWVF8+bNU4/pIlC6JozNCCsrK2bOnMmcOXM4fPiwQTYyIjAwkBkzZnDhwgW9MtR/jqOjIyVLlsTb2zvDjCZ/B6JAiYgAAgLHOcZdbqNClWXblPO3ucUb3jCYIZnOphITE+nWrRvffPONXhnEITkH35s3b3B2ds5y3Ne4wkUuoBE0CDLhf+L0/2hIri0VyDNeEYwTJehDPxSkbefj48PEiRNRqVTs3btX5xlNeHg4jo6Oer03gB9++IH4+HhWrlypd19juXLlCvHx8WluxM+ePUsN2M2MAgUK8O7dO4OvO3r0aJYvX46Pjw+1a+uWgT4r1Go1gwYN4vvvv9c5M3xWtGrVirNnz341AiU6SYiIAOc4o5M4fYoKFe94y048UkXgUwRBYMyYMRQvXjzbHHgZ8ejRo2xz8J3hFJe4iBo1giT7vM9KlDwnkD/4LXVmGBISwrBhw+jSpQujRo3C29tbr+U2Qxwkdu/ezZ9//slff/31tywnnTlzhuLFi6fJUpHTS3wAFhYWfPfdd8z+LJuDoSxatAhra2vc3NxMYi9FoL4WRIES+c/zghfc4Lpe4pSCGjVveMM1rqQ7t3btWu7du8fWrVsNynGW3fKeDzfxFm7oPW41akIJYY9mN0uXLqVSpUrky5ePR48eMWTIEL3z3ukrUHfu3MHNzY2DBw+avLaTLmg0Gvz9/WndunWaY0FBQVnOVkG/hLGZMXz4cB4+fIiXl5dRdry9vfnll19wd3c3Wa7CRo0acf/+fSIjI01iz1hEgRL5z3OVywaJUwoqVHjhhfaTerPnz59n8eLFHDp0CGsDi8ZllSRWJag4pjyKWqLO8Hx2qFHzQOnP7be3uH79OkuWLDE4550+AhUWFka3bt3YsGGDyR0FdMXf3x+5XE67du1Sj71+/Zq8efNm6+JuzB5UCmZmZvzwww/8+OOPBtuIjY1l4MCBqXkWTYWlpSX169fn4sWLJrNpDKJAifyniSKKIF4YbUeDhsc8AuD58+cMGDCA3bt34+TkZLDNzJLEvnz5kiHLXFGqsq7FlB1yczm9VvfMsDifPugqUEqlkp49ezJo0CB69epl1DWN4cqVKyiVynT7T9kt74HxS3wpuLq68vLlSy5dumRQ/8mTJ9OoUSN69uxp9Fg+52ta5hMFSuQ/zS18EDC+ZqeSJDy5SmxsLF26dOGHH35ILSFuKJ8v8Wk0GtasWUPNmjUpNcQZhbWRezdSCOABCSQYZUZXgZo4cSIODg45VnhQV47/rzaVvb196rGnT5/qJFB58uQhKioKlcrwGTeAQqFg9uzZzJ49G0HPmrGHDh3iwoULrF271qgxZMbXFLArCpTIf5o3vM7QwcEQwoRwhgwZQt26dRk3bpxRtj734PP396dhw4YcOHCAc97nkDqa5qsrRcpTnhhlQxcvvl9//ZXLly+zY8eOHKvtpCs+Pj7pHh50nUHJZDLy5s1LWFiY0eMYMGAAYWFhnDt3Tuc+7969Y8yYMWzfvt2ociZZUblyZWJiYnjxwviVBWMRBUrkP42xs4dPSdQk8PbtW3755RejC7+lePBptVrmzJmDi4sLw4YN4+LFixRwLoA8m9grXdGgIY44o2yEhYVlOYO6evUqs2fP5vDhwzla20kXwsLCiIqKSlcbS1eBAtPsQ0Gy2M2dO5cff/wRQZUEd/6E37vB6oawsg782g7OL4O490CyV+jQoUMZNWpUjgY1S6VSWrZs+VUs84lxUCL/aeQm/AooE1X88ccfWeZy05WAgADy589P9erVKVOmDPfu3UsNmFUb4dDxOQJCmkBkQ8hqiS84OJg+ffrg4eFh9F6XKbh69SoATZo0SXNcX4Ey1pMvhd5tGxP353jUM3OjkMsgKSZtg2eX4eRsqNSZvRFOfPz40SjnCl1p3bo1R48ezbTK85dCFCiR/zR2mO6JXh2rpnbt2tjZ2VGhQgUqVKhAxYoVU1/rmsAzJiaGVatW8eTJE7Zu3UqPHj3SzMgssESj0WCKSZQMGRYYkH3g1R146wvxH+nkEEzRiOsQXxSsHFKbxMfH061bN6ZMmUKbNm2MH6wJOHjwII6OjmnSTWm1Wp4/f56ti3kKpnKUINgH6cbWDCkRi0yjJsOVZlXyDF+4t49Oai3NZi34InFjLVu2ZPLkyWg0Gr0zhJgSUaBE/tNUozqPeYQSpXGGNNC2QFuWRi3n9evXBAQE8ODBA7y9vdm6dSsBAQFYWlqmEawUAfs0Fuj48eOMHTsWgPXr12fopWUn2JGkSjLJjUOCBEfy69ZYmQB398D5JRD5CgBBo2J2NSWWp6bB8YlQtQe4TEMoXJURI0ZQvnx5pk6davQ4TYWnpyf169dPc+zt27c4ODhgY2Ojkw2TzKCCb8F6F1DG6fScIUGLlRysPH+G3PbQZEL2nYygcOHCFCxYkNu3b+ud+d6UiAIl8p/GmVIoMDNaoOQyOXWoi1QqpVixYhQrVoy2bdumnhcEgTdv3hAQEEBAQAB3795lx44dBAQEoFAoKF26NGFhYURGRjJz5kzWrVuX6Y3h8L7DBPOKEj2cjN5F1sYKFDArAGbZNHxxHTa3B40alLGphyWAlYL/X5q68yf4HeSpzImgp+acv+Jp9H6cwQgCvH8OMWGgTkKlsCIy5CW9ev2cppk+y3uQPIMKCgoyfFzRIbCxFSgN2PtTxcPRbyF/OSjbyvAx6EDr1q05e/asKFAiIn8XUqQ0oAEXuWD4XowATpIS2GGfaROJREKRIkUoUqRImgwGWq2W9evXM2fOHGrUqEHTpk05ePAgL1++pFGjRulmXEWLFmX06NEUqV6YYp2KIrMwfBYlVUt5/PsTSi4tybhx4xg9enTGGckfnUnevFfFZ29U0IAqnqIJAVzqXhmzv2N1KCkO7uyC80sh6g3IktVXolHzdriALOYvCC4FxWoB+gtUgQIFuHHjhuHju7o+denOIFQJcGQGTL9ruA0daNWqFUuWLOH777/P0etkhShQJkSj0RIaGsfHjwkoFDLy5LEkTx6rv3tYItlQm7p4400M0QbFRGkSNTQWmoCev+qgoCBGjx6d6mpcs2ZNIDkV0ODBgzl//nzqjOv+/fts2LCBJ0+SXcILhhRE81qDrITM4L0ouVzOHxO38qjZI1avXk2pUqXo27cvkyZNomzZssmNXt+DP7rrJk6fYCkHPjyFP7rBqBPwpVzLL62G49+DRPr/M73/iYEckMuBgEPw5BTkLQkjjugcA5WCUUt8GhVc+wXUxgVZE/YY3t6HQsYniM2Mpk2b0rt3b2JjY3Ve/jQ1opu5CXj3LobZsy+SL98ySpVaS/36v1Oz5mYKFVpJlSob2bnTj6Qk4zylRHIOCywYzggssMi0DEVmyAUFkZui6dagO8HBwTr10Wg0rF69mlq1atG8eXNu3ryZKk6Q7MFXqVIl8ufPT/369ZFKpZw6dYrcuXNjZ2eHr68vGzdupKiXE+pYNVqtNourZYwCBf0ZiDnmVK1ala1bt/Lw4UPy5ctHkyZN6NixI+fPn0fYO8qwpSgAVSI894RHpw3rrw+CAPvGw4nvk8X0k2XI9G21yW1CAmB5DdQvb+m9xGewk8T9w6A1QdydRgWXVhlvJwusra2pXbs2ly9fztHrZIUoUEYQE5NEz557KVlyLcuWefHxYyIJCWpiYpTExipRKjXcvx/G2LHHyZdvGatX39A7alzky5CL3IxlHPbYI9dkv7AgUUswx5zBElfWT/qFQYMGUb9+fby9vbPsd//+fRo0aMChQ4e4fv063377bTqvrAcPHlC6dGlWr16Ns7Mzx48fZ/fu3djb2/PDDz9QuXJlmjRpQoPKDfij4Ta00VqkenyVpRopjUKb4KQtkeZ4gQIFmD9/PkFBQXTt2pXVs0aT9OKWznYzRBkLF5YaZ0MXziyEm9tAqcdMT9BCQiSz81ymQgHd8yUaNYO6ty+9K7khaNXw4KjxdrKhVatWf2tWCYkg3jENIjQ0lsaNtxIcHEVSkm5PRFZWCgYOrMKmTR1MsnEsCAIXLwaxa9d93ryJITFRTZ48ltSrV4ShQ6uJy4sGoELFhI3jyd/DEbmjLLmMRcqynwDKWCVmEjNa2bSmJrWx+mRd7+jRowwbNox169bRt2/fNHYTExP56aef2LRpE4sWLWL48OEZZlSIiYmhbt26vH37lubNm/PDDz9Qo0YNjhw5wrfffouvry9mZmY8fvyYqlWr0rhxYw6cPcAhDvCC5wgIGWfG0EqQaEAdoeHRkif4HPDh/fv3lCtXLt0+V4kSJZDJZAh7RiPc+B2pYOQTv9wCZj2EPE7G2cmMkABYUcvgfR21FijZCPmkqzq1FwQBCwsLoqKisiwQqNVqUSqVJCUlpf7L82cvrN5k/RCjM3JzWJ5oGluZ4OPjg6urKwEBATl6ncwQBcoA4uKU1Kq1hWfPPqBW67e8YmWlYMKEOixe3NLg68fEJPHHH3dZvvw6kZGJxMam9UCztJQjCNC5cxmmT29IrVqmy3b8b+f58+fUqVOHwMBA4u3jeMITYolBi5bT+09zftsF7h+6j1yWcSyKr68vnTt3ZtiwYcyePRuJRMK1a9cYOXIk5cuXZ/369Rlmn46MjGT9+vWsXbuW+Ph4du3aRefOnQFISEigYsWKbN68mZYtW/Ly5UvKly9P1apV8fLySn3YiSaKm3hzE2+UKJEiRYsWCRIqUokGNKQQ/18dNzo6mocPH6buc6W4xoeFhVG2bFmuN/bHQmqCpWmZGbSZA62/M95WRvw5EuHmNiRaw8eqlsjZkmcyYRrrNIKSlJSUTmSSkpK4du1a6j5dRueTkpJQq9WYmZlhbm6e+u+Ay3vq5DGRqMgUsMLI8Ihs0Gg0ODo64uvrS5EiRXL0WhkhCpQBjBt3nN9/v6vzzOlzrKwUnDkzkIYNi+ndNygokqZNtxEREU98fNYZBaRSCRYWcubNa8a0aTmXGuXfxJgxY8ibNy8LFy5Mc3zTpk2sX7+eqKgoLly4kGVWhJCQELp06UKxYsXInTs3x44dY926denS60ByufTVq1ezceNGOnTowOTJk6lfvz4xMTHI5clLjfPmzcPf35+//vqL0NBQSpcujZOTE/fu3ctwFiYgoEJFEokoMMMcc7321mJjY3n84D41djdEYoJEugCP8zTlcv7+md7wsxKDrM7LNYm8HJSY7OpuBCqkXJfW4JxNuzSCYm5unk5kzM3NmTBhAjNmzKB69erpzqX8UygU6VdKfu8G9w8ZN9gULB3g54+msZUFvXv3pl27dgwdOjTHr/U5okDpSVycEkfH5dmKQ1ZIJNCpU1kOH+6bfeNPCA6OokaNX/n4MRGtVvdfm5WVgunTGzB3bjM9R/rf4u3bt1SqVInHjx+nSd1z5coVevXqhZeXFz/++COtWrXK9su6b98+Bg8ejI2NDVeuXKFcuXJpzoeGhrJy5Uq27thK3/l9aNS9IYpcCqLCojiy/Qi/T/2DXOTmxYsX1KpVi7t372Jra4uzszN58uTh0aNHORvhH/8RfiwAGtM8od9IKs7v6lYZ3uyzE4Oszlk/+Auzo9OQZOUUoSvmtrA4KvkLmhEaVbK4XFxB9PM7WCtAprAE69xQbzjUHwW2WSfN5cp6ODbTcMeTTynXBsacMt5ONmzZsoWLFy+ya9euHL/W54gCpSe//XaHyZNPERtrXD40c3MZL19OIn9+3dw3ExJUVKiwgVevotBo9P+VWVkp+P33zvTtW0nvvv8Vpk6dilarZdWq//eOCg4Opm7dunh4eNCqVSs2bNjA7du3+f333zO0ERoaysSJE7l16xabN2/m6tWrbN26lSNHjlClShXevHnDsmXLOHz1ED1X9MC2iQ1SqTRNoLBWpcVMYUZhinB5wRXKSMsyedJknJ2dMTMz4+nTpybJ95cVWpUSyXQLk82gzsSX4nrhgZQtW5YyZcpQpkwZ07guH/8ezi4y3g4kL5n9FAEWn6W/UifBmZ/g6rpkD7yMnBwUFiAA5dtB56WQLxOvwMToZOE3Jg4KwNwGhh+CMi2Ms6MDQUFB1KlTh5CQkC+eiV704tOT5cu9jBYnSA7c3Lr1ns7t9+x5QHh4nEHiBBAfr2LatDOiF2EmvH//nq1bt6ZJyxMfH0/Xrl2ZPn06rVolR+03atQIT0/PdP0FQcDd3Z0qVarg5OTE/fv3ad68OXPmzGHx4sW4uLjQvn17KleujFlDBUNuuWLdzAq1VJ0ui4VUIUWNmpcEUXhKQRy/zUuV2lUQBIGHDx/miDgFBQWxbNkyWrVqRYECBZCbWxAWb5q/FY3MAvuy9VEqlezfv58hQ4bg6OhIkSJFaNGiBWPHjmX16tWcPHmSwMDA5DyDuhL73iRjBECqSBaQT4n/CGsawcXlkBCZuQeeKhHUieB/GJbXhBeZlHO3sIPqfUBqZAiqhT2Ubm6cDR1xcnLCwcEBX1/fL3K9TxEDdfUkKCjSJHYSE9Xcu6d7LMXixdeIizNOGKOikrhw4QUtWpQ0ys6/kTVr1tCzZ8/UjWBBEBg+fDgVK1Zk8uTJqe0qVqxISEhImgzeL168YPTo0URERHDy5Elq1KiR2v7Zs2ecO3cOtVrN1atXmXJoMvLmUlQS3X6XCmsFQYlBtD3Qmtn55xpcPv5TYmJiOH78OEePHuXmzZsEBwejVCqxtbWlTJky9O/fn169emHxej9KzzWYGZntXCaBumPXUNcqV+oxrVbLq1evePz4MY8fP+bJkyecOHGCx48fExYWRsmSJSlTpgxly5albNmylC5dGkdHR2JiYggKCkr91zT6HD1zZXFxPdBqVCRqJP/vl6lMSM6XF/pQ96VOQQtJ0bCxNbhdhSLV07dpPh3u7k12FTcEMyto/WPmS5E5QEqV3erVM3g/OYgoUHqg1QoGO0ZkRHi4buvQPj5vePUqOvuG2RAbq2TpUi9RoD4jOjqaDRs2pElfs2zZMp49e8aVK1fSbHTLZDIaNGiAp6cnnTp1Ys2aNSxatIgZM2YwZcqUVMeGhw8fsmjRIk6ePMm4ceN48eIFfhpfzticQpDo97WTW8hwLJOP49KjDGW4Xg4PKpUKHx8f9u/fz5UrV3j8+DExMTEoFAqKFStG7dq1mTdvHp06dUotgHfnzh1WrVrFzfNH8e8loGfschq0SJBU6Y7EKq2KSKVSihcvTvHixWndujWCIPD+/XuCgoJ4/Pgxt2/f5uHDhxw6dIjQ0FCio6PRarXIZDLs7OwoUKAAJUuWpEW5kqi1r5Brjd8rU6vVOBYrRZGixalatSo/lHhKBeVDZIbYVsbBhlYwNzhZUD6lQAXosxn2jNI7QwcKK6jSAxp82TIYrVu3Zv369cyYMeOLXlfcg9IThWKB3q7lmfMIS8vD5M6dm/z581OkSBEKFChAvnz5cHR0xNHRkXz58rF3bwRbtjzCFL8pmUyCSvXj35fA8ytk6dKl+Pr6snPnTgBOnjzJiBEj8Pb2ztC1dtGiRTx+/JiHDx9iY2PD5s2bUzMR+Pn5sXDhQi5dusTEiRMZP3489vb2aNGyjMVGFQc0w4z+DKIkGT9gCIJAYGAgR44c4fTp0/j5+REWFoYgCOTNm5fKlSvTqlUrevbsibOzc5q/AY1Gw5EjR1i9ejUvXrxgwoQJjBgxglwHhsGD46A1bPaeoJEwPbgeU1btwM7OLs3s5/N/ZmZmODk54eTkRPHixVNfp/zf3t6e8PDwNLOukKd+bClyBnOZcV8OtRZOR+TmQbVvqV69OpGvn9HVdwIKY6otm9lA9zVQb1jG52/8AfvH674fZWYFVXtC399B9mXnFlFRURQuXJjw8HAsLS2/2HVFgdKRpKQkbty4Qfv2l4jX86EnIyQSqFdPSunSz3jy5AlBQUFERERgZ2eHvb09lpaWyGQytFotwcHViIkxTbE3uVzKx4/fYmOTXfrq/wYJCQmULFmSM2fOULlyZZ48eULjxo05ePBghlVLExMTGTVqFLt372bTpk0MGzYMiUTC7du3WbBgAd7e3kydOpUxY8akcQJ4zCP+Yo/RWdNLU4ZBuAIQERHBhQsXOHr0KN7e3gQFBaFWq7G0tKRUqVI0btyY7t2707Bhw0z3raKjo9m6dStr167F0dGRyZMn061bt//PbhETBkurQmwo+j4hJQlyDn4oxsQzsYSFhWFpaUnZsmUpUaJEGvH5VIAM4veuCP5HkBhxKxMUVnjXW8FvJ29x8OBBfnKxZnjREBSCkfvN+UrDd48zX44LvJqc+PXNvWQHjHQPAhIStFLUZvbYdl8M9Ud80aW9T2nYsCFz5sxJk+w4pxEFKhOUSiXe3t5cunSJixcvcvPmTSpUqIAgtObePTPUauM+NisrBVeuDKFmzf8P2lSpVAQHBxMYGMjz5895/vw5gYGBXLzowMeP+sdMZYSZmYyQkKnkyvXlnoK+Zn755RfOnDnD4cOHiYqKol69ekyZMoWRI0ema3v16tXUgNszZ84QHh6Or68vCxYswM/PjxkzZjBy5MgMnzB/ZwsvCTJ6vIJK4FKXq9y7eo/4+HgkEgmFCxemVq1adOjQgfbt21OgQIFs7bx48YJ169bh7u6eWpyuXr16GTcOf4qwphHEf9A5GDYJOU9s6/Ci1gycSpRAq9UyY8YMQkND2bJli2lLODz3hE1tjHLdfpFozf5Sc5MF1Kk4pT0aY64yflldLTUnpMdOCtXvlrUHXNgTuLIW/A5AYkxyVngzayhel7u5WjJgzq/4+z/44l50nzJv3jxiY2NZtmzZF7umKFD/Q6lUcuvWLS5evMilS5e4ceMGZcuWxcXFhWbNmtG4cWPs7Ox48eIjFSpsIDHRuI3j8uXzEhAwTqe206efYfny60Zd7/8RqFv3NOXLl6Ns2bKUK5f8M8WF+d9IKKEE85IEEpAgwRJLSuKMrcqWUqVKsXfvXmrXrk2XLl0oXrw469evT9M/KiqKmTNncvToUdatW0fXrl2pVKkS5ubmfPjwgZkzZzJ06NBMZylKlCxiAVqMXxpWxat4vjGI8jEV6NKlC5UrV07d98oOQRDw9PRk1apVXL58mWHDhjF+/HiKFSuGIAhERERkuvyWGPqC3a2VVMmjRS4FuSST24aZTbKjQPv50GxKmqd9QRDYtWsX06ZNo2fPnvz000/Y2ZmgorEggEd/8D+i/54OoJKY0em0DS80eSlatCgxb59yqXlwckZ2I1FqpSy6b8fK2xqqVKlCtWrVqFq1KtWqVaNSpUo6LZcJgkCNGjVYtGgR7dq1M35QBuLl6clv3w3mjx+GQ0woSGTJcV9lW0HRmtkbMIAcFyhBEIiPVyGXSzE3/3p8MlQqFbdv304VpOvXr1OqVCmaNWuGi4sLjRs3TlMW+lOaNdvG5csvDb62tbWCX35pj6trNZ3a79sXwLBhh4mJMX4j2No6kW7dXiOVSklISODDhw+8fPmSV69eUaxYsVTB+lS88ubN+4/bs1Kj5iEBXOUKEYQjQYIaNRIkyJAhICAPkXN3nS97ftrL7B9mc+3aNc6ePZsmeeuRI0cYN24c7du3Z/Hixfj4+LBgwQL8/f1xcXFhz5492ZbgjiSSdaxGhfHhCQDNaE5zdI9/USqV7N27lxUrVvD+/XtatWpFiRIlePfuXRoRsrCwSLf09ukSnJ2dXXLeu0ur4faOZFdpiRQQkoNY7QtDy5lQvS+YZ+5t+OHDB6ZPn87p06dZt24d3bp1M/5D0ahgYxt46a2XSKmlZsiH7ye+RHO+/fZbDh8+zJ9r5lD/xmQkpkjqCtBmNu/ruOHn58e9e/fw9fXl3r17PH78GCcnpzSiVbVqVQoUKJDu++bh4cH27ds5e/asacakD4nR4LMd4fxS4sKDsTaTIUnJzyiVJ6eyyl0cWsyE6r2TY8JMRI4IVGKimn37AliyxJOHD8ORSCRotQIKhZTWrZ2ZPr0BjRoV+6I3PbVazZ07d1IFycvLixIlSqQRpNy5c+tk6/79UOrX/90gt28zMykVKjhy48ZwnQVbpdLg6LicyEjjcnhZWsoYODAPRYtGpC4fPn/+nIiICIoUKULBggWxsbFBIpGQmJjI+/fvCQ4ORiqVphGsT2dd2d2c/w4iiGArv5FEUrZ7PjK1DHm8nB0tdnHlxNVU1/HQ0FDc3Ny4e/cumzdvJiYmhoULFxITE8P333+PpaUlmzdv5tSp7CP5I4hgE78YX1b+fzSkMW1om+ZYRjOgR48ece3aNZ4/f45Wq8XKyorSpUtnugek12xGGQ8fgpJjg+TmYJUn+Salx3f68uXLjB49mnLlyrFu3TqKFi2q+/UzQqOCP0fCvb3JlX+zcuwwtyEmLoHg1uup2HlM6uGzZ8+ywG0QZ1p/wELHUICskSTPJlv/kO6MUqnk4cOH+Pr6porWvXv3kMvlaQSrWrVqlChRglKlSnH69GkqV865GlDpeHUnufqvOin7JVRzG7BwgAmXIK+zSS5vUoFSq7XMnn2R9etvIgikS2IKyX+/VlYK8uWzYsWKNnTvXt5Ul0+DRqPh7t27qYJ07do1ihcvnipITZo0ybh6qI6cPRtI16579Ep5ZGYmo1AhG27dGqV3pvEffrjA8uVeRrm5W1srCAubjtVnicsSExN58eJFmn2vT1/b2Njg6OiIjY1N6swrIiKCiIgIihcvnqF45c2b1+BxGkMIIfzOZpQodS4+qFFqsJRYMV7hhr1gz7Zt2/j2228ZPnw4VapUYenSpWi1Wn744Qd69OiBVColPDycUqVK8eHDh0xTDimVSu7cucPRC0dhqgaZufGpiSRaCY7+BYg7Fc/Lly8znAHlzp2b0NBQnj17RoMGDRgzZgytW7c2zXKaiUlKSmLx4sWsW7eO2bNnM27cOONTOIU+hitr4KZ78hO+oAatNtnzTdBCruIIzWdQqMMk7j96lu5vNfJNINZLy6CQmMBbV2EBnZdDY92W8wVB4M2bN6mClfLz9evX5MqVC2trayZMmEDVqlWpWrWq4Y4luvDCKzmeS5+9PYk0ORh50g3IX9boIZhMoOLilHTsuIubN98QH6/b/oyVlYIffmjMrFmNjb6+RqPB19c31anh6tWrFClSJI0gfZpfzRR4eb2iffudqNXabGdTNjZmlC+fl9OnBxrkoPD2bQxlyqwzOFjX0lLOmDG1WLmyjV79BEEgJCQkQ+EKDAzk48eP5MuXL3XmlSJeCoWCcuXKUaFChTTCVbJkyRybdUUTxS+sIwH908hIkGCtsuZ8z0uEvwqnV69e7NixAysrK3788Uc6duyYboO6fPny7N69m2rVqiEIAo8fP+bIkSOcO3cOPz8/wsPDEQQBewd7xrwcicLW+PetilPzbnUIeT7kTTMDKlasGDdu3GD16tXcvXuXsWPHMmbMGPLnz2/0Nb8Ejx49YsyYMcTFxbF582bTBIQmxcHT88meiOrE5OSqBSpCkeq8f/8eZ2dnPn78mPFKzqJyyVVrjUVuATP9jZ5RxMbGcvXqVXr06EGvXr148uQJ9+/fJ1++fOlmW05OTsavTkU8h+XV02fW0AWJBGzyw7f3wca4B1WTCJRaraVNm+14eb0iMVG/J3wrKwU//9wCN7e6evXTarX4+fmlEaQCBQqkClLTpk1xdMwmcaMJiIlJYscOP5Yu9SI8PA6VSoNSqUEqlWJuLkOrFWjcuDgzZjSgRYuSSKWG/+GcOPGUnj33kpCgn4OGubmMmjULcemSKwqFaROMxsXFERQUlEa8nj17xtOnTwkODsbCwiJVvOLj44mNjaVgwYKUL1+eKlWqUK5cuVTxMmZGC3CIA9zjrsHOCOoENR8PRXJ+zkXy5cvHjz/+SJs2bTL8soeEhNCrVy+io6OJiorizZs3aDQarKysKFWqFA0aNKBTp040bNgQOzs7zgin8cITrcS4QG8rrJjBrNQChQkJCWzfvp01a9Ygl8uZNGkS/fr1y7JO0deKIAhs3bqVmTNnMnjwYObNm2eSzBkZ4e3tzfjx4/Hx8cmkwVY44AZJRiahLdEQJl4zzsYnpDx0zJs3D41GQ2BgYLrZVkxMTOoMK0W4KlasqF/8kkd/uLsnecZpCDKz5IwZHRZm3zYLTCJQCxZcZvFiT4MzfFtZKbh2bSjVqxfMtI1Wq8Xf3z9VkK5cuULevHlTveyaNWumk3ttTpHsIfWKQ4e82bXrEOPHjyFPHkvaty9N0aKmm4b/9dcDhgw5rPNnbWkpp1atQhw/3h9b25xNMPo5Wq2Wt2/fppl1PX36lIcPHxIUFERCQgJWVlap4qVQKChevDjly5enRo0aVK5cOXXWlZ2nWhJJLOFn1EY6IqgiVbS62xaXZi6pwhQbG8uJEyc4duwYN2/e5OXLl8mlHuRyLCws6Nq1K+3bt6d69epERUVl6AUXoYpgxP2hyC0MdxSSI6cpzWiKC2/fvmXDhg1s3ryZevXqMWnSJFxcXP5xziwZERYWxpQpU7h27RobNmygffv2Jr/Gzp07OXbsGLt37864gTIBfnDMunR8dpjbwuBdULGj4TY+49GjRzRt2pSgoKBMBSciIiLNvpavry9PnjyhZMmSqYKVIl4ZzrDjP8LsQsmzTmOwdICFYclJeA3EaIFSqTTkz7+cjx8NfzNSqYQ+fSqya1eP1GOCIBAQEMDFixe5ePEily9fJleuXGkEKaPCb383586d4+eff+b8+fM5dg1v79dMnnyau3dD0Gi0qFTpn3JsbMyQySS4udXlxx+bmHzmZApiYmJS976ePXvGgwcPePDgAS9fvuT9+/fI5XIkEglKpZLcuXNTvHhxKlSoQM2aNalduzblypVLdWzx5gZnOGW0p5yZYEape2W4+ts1vLy8CAwMTK3NVLBgQZydnVPzwj1//pwDBw7g5OREcHAwVlZWWXrBHbY9SCDPMq54qwMKFLTwbc3G5Rs5fvw4/fv3Z+LEiVnWpvonc+bMGcaOHUutWrVYs2aNSR9A582bh1qtZsGCBVkMYBGc+0m/MvIpyBSQrwzM8AWpab97HTp0oFu3bowYMULnPklJSTx8+DDNTCulOvPnXoRl3x5HdnquQS77aTC3hX5/QLWeBpswWqD27w9g6FDjXaAtLORcvNiRO3c8uXTpEpcuXcLW1jaNIP0dFR315cCBA2zfvp2DBw/m+LWePn3P2rXe7Nzpx8eP8Uilciwt5ZQrl5cZMxrSrVu5r1KYdEGj0fDmzRsCAwNTc7MFBATw8uVLwsPDUauTlznlcjn58uWj16Ue2JYyQfkG4MmRJ5wYeBoHBwesrKxQq9W8ffsWa2vrdKIze/Zs/vzzTxo0aJBt+Yh44lmVuIIEeTxSuX4BlxK1BL8f/bm9887/pyHKZaIsqV8x8fHxLFiwgN9++42FCxcycuRIkwSrDho0iJYtW+Lq6pp5I0GA7QOSM5TrI1JSOVjnhRn3wNb0e4Dnz5/Hzc0Nf39/o2bMgiDw+vXrdKJ1uH4gFXKbyHeufDsYfcLg7kYLVL16v+Ht/cYYE/9DRa5cd+naNX+qIBUrZprsCV+Sbdu2cfHiRdzd3b/YNa9evcqsWbO4evXqv2KJRxeioqIIDAzkzp07+Pj44LDIDvM8pgk0TnieCBul6cQoIwHq3a83LYe2oGHrhmjRYoEF+SmAHek95m7fvk3r3q0ZdWM4MgcZUoVuN1p1gpqHSx/Tr3x/unfvrnNg7r+J+/fvM2rUKKRSKZs3b6ZixYpG2atfvz7Lly+nYcOGWTfUamDfeLi1XTdvNoUlOBSB8ZfAPmdWeARBoFq1aixdupQ2bfRzetIF7feOSOPCTWOscDWYftfg7kb/pT94YKI3goIWLVz544/eJrL39xAdHf3F3XlDQkIyDO77N2Nvb0+NGjWoUaMGI0aMYBELSMTINfP/UbRkEdyWTc6yzUc+4s11yrmXIVgTRDihCAhIkKJBTXGcaERjSuKMBAkPHjygQYMGNG/enCqe1TlrdZrirZJjAdUZlLMQtALqBDVClEDjyKYsmrPEJO/tn0rlypXx9PRk06ZNNGvWjNGjR6fGo+nEx2B4cAxiw0GdRGuFHxVkb5Pdz7OakUll0HsjVOoM5xfDy5vJjgOflN/QCqCVWyC3yQMu06H+8OSYoBxCIpEwefJkVq1alSMCJTUwMXCGqIz7ThotUMaUPv+ciAgjq0x+BfydAvVvRxAEPnz4kMblPeVnjV1VsS5oGo8vczL3gNOg4QiHuI9fcpyVmYAUKUkkpWkXyDNeEYw1NrgEt6B+rfrUrVsXd3d3qlatysGDB6kkqcRtfDgbcwaptRSpIEUtaBC0WngkoWf+3tQoVBNJof/Og0dWSKVSvvnmG7p27YqbmxtVqlRh06ZNtGiRSVYNrRaenIPzS5JjeiSS/90wBb6vCooDw+DERHCZCnWHgVUWS6YV2iX/e/8Crm2AN76Q8BHMrAhLVDBlz30c6nRiWe0RWGeRRcNU9OvXj1mzZuHv70+lSiaukm1ukxyAbQosHYzqbrRAyWTJWSJMgYXFP3O/5FOio6ONdpfWl3+TQKUkzM0saFgikeDs7IyzszMlS5akXr169O/fnycOj3jHW6OvLxWk5JdkvG+gRo0H23jD6wxnPZ+jRIlK+Mhu+x3U61qP8zvPM3DgQPr375+amLW+siHDq4/EzMoMuY2MUUNH49rPFdsqtka/l38rhQoVYt++fRw9epRhw4bRrFkzli9fnjbOMT4Sfm0H7/wz9MQzk5F8XBkLJ2bDqbkw/DCUyaZKbZ4S0CVtstQCwIaRkbi5uVG9enU8PDwyT7xrIszNzfnmm29YvXo1v/32m2mNF6wCka+NtyOVQ5Ea2bfLAqMFys7OnPfvTTHzEXj06BYrVoRSp04datasiZWVftkWvgaio6MpUaLEF71mSEgI9evX/6LXNIbIyMhMBejNmzep3nIlS5bE2dmZWrVqpb7+3DFAqVRy/PhxvJZfp/CkgpjZGrcPpUxU8vzgCz60/ZAm9ZWAwF/s4TWv9XJlFyQCZrZmtNrVgv1n9+Hj44Ovry8RERH8+uuvbNiwgZCQEHbv3k3Pnj3/1mzV/zQ6deqEi4sLs2fPplKlSixZsgRXV1ckCZGwolbyTVaXSrgp3mpbOsLg3VC5i95jcXBwwMPDg/3799O1a1dGjhzJjz/+mKMJmMeMGUOZMmVYtGiRaWM+XabA8yvGx4DJFNDEzSgTRjtJjB17jN9+u2t0ET8rKznjx+clPt4fb29vHjx4QJkyZahTpw5169albt26lCtXzvg0KDnAq1dR7NsXwNu3MRw8eIJKlUrSp48L3bqVx8KIuBdd6dChA2PHjqVjR9PFWxiDRqPh9evXGQrQ8+fPUSqVqQKUIjwpP4sVK5btl1oQBG7duoW7uzt79uyhQoUKDB4ymDDXEBKkxrnGWsfY4Dv6PidOnKBjx46MGDGCpk2b8lTyhD38icrAfHoSQcLLsy9pHtIKT09P9u7dS/fu3encuTNTpkwhMDDQqHH/17l9+zajRo0it70tR1u8x+LDE93LtH+Kwio5l1yx2gaP5d27d4wYMYKQkBC2b99OhQoVDLaVHaNGjaJw4cLMmTPHdEYFAeYWhSgjnd+K1YEp3kaZMFqgHj+OoHr1X/XObvA5BQva8Pr1lNRMC4mJifj6+uLt7Y23tzc3b94kNDSUWrVqUbdu3VTh+rtiobRagXPnnrN0qSeenq8QhLTl4G1szJBIYOTIGowfX4cSJXLOJbhmzZr8+uuv1KpVK8eu8TkpMUwZCVBwcDD58uXLUIBKlixpcHb0169fs2PHDjw8PEhKSsLV1ZWBAwdSsmRyhdkrXOIylwyOhVJgRhe6UoWqvH//nu3bt7NlyxaUSiUDzvdDW8y4LBCaRA276+xlSM8hjBkzBkdHR3bv3s3+/fvZt2+fUbZFkhNCn148jKbvtmNjTFaporVgaiYZJnREEAS2bNnC999/z/fff4+bm1uOzI4DAgJo3rx5ai5Gk3F5HRybaXgslJk1DNwBVboaNQyTZJKoW/c3bt40XG0tLeUsWODC1KnpK5h+yvv377l58yY3b95MFS1LS8s0s6yaNWtmG49iLHFxSrp0+RNv79fExmZ9MzQzkyGTSVi7th0jRhi3HpsZhQsXzrQ8uaFotVrevXuXoQAFBgYSGxubToBSXjs5OZnsyxIXF8ehQ4dwd3fn1q1b9OzZk8GDB9OwYcN0IqdGzVZ+5432NVqpfjN6OXLKUJY+9ENC2hpGF+5e4FKl80jMjHRWUENjmtJK/v8VSWfMmIG9vT3ff/+9cbZFkllWPbk6rTEoLGHqbShgfCLrwMBABg8ejLm5Odu2bcuR0Jl27drRq1cvhg3LpLS8IWg1sLkDBF7W3xNPYQU1B0CfX42u/msSgfLyekXLlh4GzaKkUgkFC9rw4ME32Nvrd1MTBIHnz5+nmWX5+fnh7OycZpZVsWJFky0NxsUpadDgD548ea9X0UIrKwVz5jRlxoxs4i70RKvVYmFhQWxsrN7r3fHx8RlmMQ8MDCQoKAgHB4cMBahkyZI56tau1Wq5evUq7u7uHDx4kHr16uHq6kqXLl2ydSt+9OIRa2JW4VjBEUGum0gpUFAcJ/ozEHkG27LnOcc1rhicAeJTbLBhBrNS/9+qVSsmT56cI+l8/nO8vQ+r6oLKyD1xqTzZq6/PryYZlkajYenSpaxcuZIVK1YwaNAgk353zp49y5QpU/Dz8zPtd1KZAFs6on3hhVTXtEdmVlCpKwz0MEkGDZNlM9+16z4jRhzRS6SkUgn29ub4+IzE2Vm3WkzZoVQq8fX1TZ1leXt78/btW2rUqJE6y6pTpw5FihTR+5cpCAJt2uzg6tVggyrqWlrKcXfvSq9exgUZfkp4eDjly5cnIiIi3TlBEAgNDc10L+jDhw84OTllKEAlSpTIsUSdmfHs2bPUwmw2Nja4uroyYMAAChbMPEfjp0RERNCgQQMmTZsEnbS8zvUaC3Nz1JKMf1eqOBUWlhbUldajNW1TE7B+zl/8yX3uG/q20iBBwlwWIEGCIAjky5eP+/fv6/weRbLg2HdwYWny07+xmNvCEuNLvn/KvXv3GDhwIGXLluXXX381WUkaQRCoUqUKK1eupFWrViaxmWpbrWLfkFJ0zfcOhcIs82Blc5vkUhstZ0GLb42eOaVg0npQhw8/on//A6jVWpTKrP9IrK0V5MplweXLQylZMmdTtnz8+BEfH5/UWZa3tzdyuTzNLKtWrVrZxi9dvhxEhw67DC55AeDoaM3bt1OQyUyzHn379m369evHmjVr0sUGPX/+HCsrqwwFqGTJkhQuXPhv9xqLjIxk7969uLu78/TpU/r374+rqyvVqlXT6wEiPj6eFi1a4OLiwoIFC6hZsybfzvuWQl0KcB0vVKhISlAik0qRmcuwwpro49GEng7n17VZPylvx52nPDH2rQLJAvUjc5Ej59WrV9SqVYuQkJD/VJB1jrF9INzeaRpbEgmsUJk8j15iYiI//PADu3btYsuWLXTo0MEkdv/44w/27dvHiROGpxXKiN27d7N48WJueV1G4bs3+QHgw8vkbOUIyY4oBSoli1LV7snFK02IySvqvnwZyfr1N/n119vpihamFCt0dLRmxoyGDBxYBRubnHPDzAxBEHj58mWapcF79+5RvHjxNLOsypUrp0kr07HjLk6ceIoxn5itrRl//tmT9u11S/ApCALv37/PcAb0/Plz3r17h0KhoHHjxukEqGTJkl9lkTq1Ws2ZM2fw8PDg5MmTtGrVisGDB9OuXTuDakVpNBp69OiBra0tHh4e/PHHH2zbto0rV64kV3NGSzTRzF08l2JFizJiwAhssSM8LJyyZcvy5MmTLGuF5dQM6siRI2zYsEGnqrwiOvBbN/A/ZBpbUhksjk5essoBLl++jKurK61bt2blypVG75snJibi5OTExYsXKV/eNEVgIyMjqVChAvv3708bxpIUlxykLJGCZS4w07++na7kSMl3gKQkNfv3P8TL6xVhYXGYmckoUMCGbt3K0aBB0a/uiVGlUnH//v00S4PBwcFUr16dOnXqUKZMDdzcnqNUGl9ls2nT4ly6NCTNtV++fJlpbJBMJkvnCZfy+tKlS5w7d44dO3YYPa6cxs/PDw8PD3bu3Enx4sUZPHgwffv2TRNvpC+CIDB+/HgeP37MiRMnSEpKomzZshw+fJjatdO6Ck+YMIHSpUvj5vb/sRkjR46kSJEiWbrpXuA8V7ls8j2o+fPnk5CQwM8//2y0XRFg9wjw/t00tiQyWKky2VJVRkRHRzNx4kSuXLmCh4dH9nkBs2HevHm8ffuWX381zd7ZN998g1arZdOmTSaxZwg5JlD/BqKiorh16xbe3t7s2ROIn19BwPiqqFIpDB78llevkqvSvn37lkKFCmXqkJBV1uply5YRGhrK8uXLjR5XThAWFsauXbtwd3cnIiKCQYMGMXjwYMqVK2cS+0uWLGHXrl1cuXIl1Rvu1atXeHh4pGs7YcIEypQpw4QJE1KPPXz4kGbNmmVZXyeSj6wVVme6l6UrcuQ0oRnNcAGgW7du9OvXj969/9n5J78arq6HI98aXyYCILcTzH5hvB0dOHToEGPGjGHo0KHMmzfP4ODesLAwnVYEdMHb25uuXbsSEBDwt2bN/++lRdYDe3t7WrRoQYsWLVCrL3P//iWjlvdSkEoFSpWqTL9+PShZsqROwamZERIS8tVtsCclJXH06FHc3d25evUqnTt3Zvny5TRr1sykgdY7d+5kw4YNeHl5YW9vz8uXL9m0aRO+vr462yhfvjy1atVix44djBw5Mt15QRDwPOFFaP4w8tQy3pGnFv8/q7t79y5Lly412qbI/6g5EA5PN96OmTU0m2q8HR3p2rUr9evXZ+TIkdSpU4cdO3YYlF/P0dGRHj16sGnTJn788UeDx6NWqxkzZgzLli3720u6iHlVdCQ+XmUScQKwsDCnZ8++tG7dmlKlShmVDuVrycMnCAI3btxg7NixFCpUiA0bNtCzZ8/U2UyLFi1MKk7nz59nypQpnDhxgsKFCwPw7bff4ubmlmk8WGaLBVOnTmXlypVotdo0bY8cOULt2rWZOXMmNeNroRAM/z1JkOBMaWxI3mv48OEDHz58wNnZ2WCbIp9h5QBVeyQvzxmDoIE6g00yJF3Jnz8/hw8fxs3NDRcXF5YvX45Go/+S8uTJk9mwYQNJSUnZN86EdevWkTt3bgYMGGCwDVMhCpSO5M5tiVzPInOZoVZrcXAwTSDr3y1QwcHB/PTTT5QrV47BgwdTpEgR7ty5w4ULF3B1dcXW1vRJT/38/OjXrx979+5NrQvk5eWFp6cn06ZNy7JvRnufLi4uWFhYcPLkSbRaLQcOHKBGjRrMnj2b7777Dl9fX4Y2GUZZSVkUBi7xWmJJJzql/v/evXtUqVLlb/ei/NfhMg3kRjheyc2hRj+w+PLORRKJhGHDhnHz5k2OHDmSmiFCHypWrEiVKlUyL2WfDa9eveKnn35iw4YNX4WfgPjt0JFKlRyxtDTNiqiZmYw8eUzjHfR3CFRsbGzqrKh69eq8evWKbdu28fjxY77//nuKFy+eY9d+9eoVHTp0YN26dTRt2hRIDuydPHkyixYtyjJ2K7MZVEp9nW+//ZZq1arx008/MXfuXO7evUv37t2RSqVIkNCdnhSlmF4iJUGCBRYMZTh22Kcev3v3LtWrV9fZjoiOFKkGrX80zPtOKodcxaDbGpMPSx9KlCjBxYsX6dChA7Vr12br1q2Z/u1mxJQpU1i1apVefVKYNGkS48aNo2zZsnr3zQlEgdKRNm2cMTc3fonKzEzGmDE1TTYb+1ICpdVqU2dFRYoUYe/evYwZM4Y3b96wadMm6tevn+NPXJGRkbRr145JkybRp0+f1OO7d+9Gq9XqtCTx+Rg1Gg1//vknixcv5smTJwwfPpxbt27RpUuXdG3lyBmEK1WphgxZhlknPsUMM3KTh7GMJz9pf0f37t0TBSqnaDkTGo1LTrmjK3JzyF0cxl8Gi7+/1IlMJmPGjBmcP3+e1atX061bN8LCwnTq27p1a9RqNRcuXNDrmseOHcPPz49Zs2Zl3/gLIQqUjshkUiZOrGd0dnKlMgm5/C4JCYanY4mMTCQgIJyrV18QHW0O5FwcQsqsyMnJiSlTplCtWjUeP37MsWPH6NWrl2kTVGZBUlISXbt2pUWLFkyZMiX1eHx8PLNmzWLVqlV6LZep1Wp27txJpUqVWLNmDStXrmTBggX4+PhkKbQyZHSmK5OZSgMaYoEFco2cpKgkFFoF5lggR05ZyjEQV9yYRC7SbzSLM6gcRCKBzkuh+5rkOB3zLARHbpEsThXaw7Q7YP91ORxVqVKFmzdvUq5cOapWrcrhw4ez7fNpxV1diYuLY/z48WzYsOGLfad1QXQz14OwsDhKlFhjcBVhhUJKnTr5cHQ8w82bN5k9ezZDhw7VKThVEASuXHnJ8uXXOXs2EDMzGSAQGxuHQmFJkybFmTGjAS1alEzNCG8oHz58YM+ePbi7uxMUFMSAAQMYPHgwVatWNcquoaTMjlQqFXv27EnjbDF//nwePHjAnj17srXzzTffUK5cORwcHFi4cCGOjo7MmTOHli1bIpFIiIyMpGTJkvj5+emceDdBmUD7Ee3oPaQ3TZo3wRJLHMmf6gyRYZ+EBPLkyUNkZGSO1gsSATQq8D+SXFX39b3k/SmJNPm4mSU0ngANxnx1wpQR165dY/Dgwbi4uLBq1aosg/ATEhJwcnLi8uXLOoV0zJw5k+DgYHbt2mXKIRuNKFB6cvDgQwYMOKB3YlypVEKBAjbcuzeafPmsuXnzJt999x3BwcHMnz+f3r17ZzoD8PF5Q+/efxEeHp+lN6GNjRl2dubs3NmdZs2c9BqfSqXi1KlTeHh4cObMGdq2bcvgwYNp06ZNmmwafwfTp0/n+vXrnD17Nk2s0ps3b6hSpQq3b9/GyckpSxsqlYrWrVvj7+9PhQoVmDNnDi4uLulmS5MmTcLMzExn9+8FCxZw/fp1jh8/rvMS582bNxk9ejR3797Vqb2IiUiMhrgPoE5KLu9uncfkqYxympiYGKZMmcL58+fZtm0bTZo0ybTtnDlzCAsLY+PSeeC7L7m+U0IUWOeFfKWhSncws8Tf3x8XFxfu37//VXgEf4ooUAbwxx93GT/+hM4ipVBIcXS05sqV9HkHz58/z6xZs1CpVPz000+0a9cuzY3uxImn9Or1l16zNktLOVu3dqFPn+xjKe7du4e7uzu7du2iVKlSDB48mN69e//t8Q8prF27lo0bN+Lp6Zku48SQIUMoWLBglpkYlEol7u7uLFq0CJVKRa9evbJc+njx4gW1atUiKCgoWw/ElC/23bt39Sp18uuvv3Ljxg22bt2qcx8RkU85evQoo0ePZsCAASxcuBBz889y4AkCH+4cx2thNzqUlCGRSj/J8i4Bc2sQQKgzhL4bvWjWcwRjx4794u8jO8Q9KAMYNqw6R470o0QJB6ytFZlmQ7GwkGNuLqNNm1Lcuzcmw6S4LVq0wNvbm9mzZzNt2jSaNGnCtWvXALhx47Xe4gSQkKBm6NDDnDv3PMPzISEhrFixgqpVq9KlSxdsbGy4du0anp6ejB49+qsRp/3797NkyRJOnjyZTpxu377N6dOnM93QTUpKYtOmTZQuXZq//vqL7du306lTJ0qXzjoHYokSJWjRogW//551yhy1Ws3QoUNZtGiR3nW4xP0nEWPp1KkTvr6+BAYGUrt27bTB6WoluPch956+tC+mRqJJ+qwEiZBczl0Zi/baRtwr3GV0OSNLlOQQ4gzKCARBwMvrFcuXe3Hs2FNkMgkymRSVSoONjRnjx9dhzJhaFCqkm1eQRqNhx44dzJkzhwoVKnLzZmPevzc84M7OzpzQ0GlYWMhJTEzk8OHDeHh44OXlRdeuXXF1daVJkyZfZSyOp6cnXbt25cyZM+lu5oIg0LRpUwYNGpQu+0NiYiK///47ixcvplKlSsyePTs10eXYsWOpUqVKtk+K3t7e9OnTh2fPnmW6vLl06VLOnDnD2bNn9fZerFu3LsuXL6dx48Z69RMR+RxBEPDw8GDatGlMnTqV6VMmIfu1LQTf1K8ulpkVNJkIHRfl3GANQBQoE6FWa4mKSiQ+XoWDg8X/Sr4b5qyQlJSEm9t6tmz5gGBE9gIbGzMmTSpNWNhZ9u3bR40aNXB1daVbt25fvNaTPjx69IhmzZrh7u5OmzZt0p3ft28fCxYs4M6dO6kOEwkJCWzZsoUlS5ZQvXp1Zs+eTZ06ddL001WgABo1aoSbm1uGefIePXpEo0aN8PHxoUSJEnq9N7Vajb29Pe/evfsqM82L/DN5+fIlQ4YMYWYRf1rlj9W9wOCnKKySPR/rjzD9AA3k63t0/ocil0vJk8eKokXtsbU1NyomyNzcnIcPcxslTpBc6mTpUk9KlCjBvXv3OHv2LAMHDvyqxSkkJIR27dqxePHiDMUpMTGRGTNmsGrVKmQyGfHx8axatQpnZ2cuXLjAkSNHOHbsWDpxgswDdTNi6tSprFixIl0fjUbDsGHDmDt3rt7iBPDkyRMKFSokipOISSlevDjnt6+med4ow8QJkpPsHpqS7ETylSAK1FfIq1dR+Pi8NYktuTwfHTsOo2jRoiaxl5PExMTQoUMHhg0bxpAhQzJss3btWipXrkydOnVYtmwZJUuW5Nq1a5w4cYJDhw5Rs2bNLK+h64ND586def/+PZ6enmmOr1+/HrlczjfffKOTnc8R959EcgrplTUoJEaWAxIEuLfPNAMyAWI286+QwMCPmJvLDCor/zlyuZSnT99TqZKjCUamHxo0POYRXnjygQ+oUCJHjg221KEuVamGGcmzxBQPu5o1a/LDDz9kaC8sLIwlS5YwdOhQnJ2dadq0KWfOnKFKlSo6jUefGZRMJmPy5MmsWLGCRo0aARAYGJjqVm7ovt3du3epVq2aQX1FRDIlMQbu/ml8uXtlbHLMWK2/P1EsiAL1VRIVlWiyzOlarZaoqC87ZVeh4gqX8eYGWjQo+f+qykkkEUccpznJKU5QlWq4CC2YOHoiMpks0ySVUVFRdOzYkYSEBN68ecOFCxdSE8Xqgz5Lr0OGDGHOnDk8ffoUZ2dnRowYwaxZs7L1BMyKu3fvZpvQVkREbx6dSs4laArCn0LkG3AobBp7RiAK1FeItbWZyQp5SqVSrK2NL7KoK3HE4c4fRBCBmsxngCmidYfb3Ir14Xl0IMf2HE/nNRcZGcnatWtZvXo18fHxXL58mbp16+boe0jB2tqaUaNGsXr1aipVqkRCQgKTJk0y2J4gCOISn0jOEBOWnB3DFMjNIDZcFCiRjClY0Aa12vjS8pB8UyxY8Mskv0wiid/ZzEc+6lweXYsWrZWWVntboJL+/xfsw4cPrFmzhl9++YWOHTtSrlw5+vfvb5Q4GeKwOn78eMqXL49CoeDKlStG1bR69eoV5ubmX120vsi/AHVich0rkyDRz0U9BxGdJL5CKlTIh6OjaTztLCzk1K+vXyCpoexjL5FE6ixOKUhlUpRSJdv4g/D34Xz//feULl2a169fc+P/2rv76Kjq/I7j7ztzZ5iJCQnNsiz4RCCUiAuBRR4kiCJipWqLlrZCkYMBhYoIBBAWdQ+ocFAbcrTIalyKdDmo4HEr9WHP+kCXhOVB2CiQheADCRFFgUZcQ5hkZm7/yCYVCMnM3Dt5/Lz+JHd+9xtOcj753fv7/b47dzJhwgQqKiqYMWOG7RqjXV3ZvXt3EhMTGTx4MP369bN1b82eJG58yeB26EmJFQZ/ijNj2aQZVCtkGAYPPZTFggW/o7Iy9mm7328yd+5w3O74/x1SQQWf8Wmjj/UaY2Hxv2dPcfO/jmVIylD27NlDWloaNTU13HrrreTl5UV0qK7T1q1bR3JyMvv27SMQCFx4pEwUFFASNz+5GnDovUA4WNsXqxXQDKqVmjx5QEyPpH7IsuDee3/mUEWN28VOLOzVa/gM7l0/nfz8/Po9RmvWrCEtLY1x48bZrjHa/89jx46xaNEiXn75Zfr37x9zl9I6WsEncdNzOCR2tT+Oyw2D/rn2rL5WQAHVSiUmesnLu4WEhNhmDQkJHh59dBRdu8b/By1IkD18GPWjvYac9J+gggqg9j3U8uXLyc3NdawZYqTjWJbFzJkzmTVrFpmZmcyfP59Vq1bZ+qNBMyiJG8OAGx8Cr83fd3cnuGGeMzU5QAHVit1332DmzBkWdUglJHi4++4B/PznI+NU2blOccqxsVy4KOcoAMuWLWPChAkxLSe3a+PGjZSVlbFkyRKgtkupZVm8++67MY136tQpTp8+Ta9evZwsU+T/XTMZW8t/DTd0y4Aeke0rbA4KqFZuxYoxrFx5Ez6f2WQ3X6/Xjc9nsnhxFr/85a1xb8Fep4oqDIeef4cJc5YqSkpK2LhxI8uWLXNkXIj8Ed/XX39NTk4O69atq28oaBgGOTk55ObmxnTvoqIiMjMzW+XBvNJO+JIg+3XwxNhh298Zpv3G2Zps0m9LGzB79lA+++xBFi4cQZcuPjp39uL3m5imgd9vkpRU26hw7txhlJQ8wKOPXt9s4QQ4Fk4/HG/BggUsWrSIrl0deK7+w7Ej+H+ZNWsW2dnZFxybNGnSJPbv38/+/fujvu9HH32kx3sSf33HwqT1tQe/RsrlhoS/ggd+32oWR9TRKr42okePJB57bDS/+MX1vPvuZ5SWfst33wVISurEZZd15pZb0v/SBr75JeDHwpl9Wy5cfLLvUw4ePMhrrzl7JlgkM6jXXnuN4uJiNmzYcMHXOnXqxKxZs1i1alXUzQaLiooYO3ZsVJ8Ricmgf6xtYf9yNpz+snZPk9XA76fbC4YLrhwGd2+AlObZjhINBVQbY5ouxo2L/aideEjlR5iY5xxpFKuQFWbVg3k8/fTTtpZ0X0xjM6iTJ08ye/ZsXn/9dXw+X4PXzJw5k/T0dFasWEH37t0jvm9RURELFy6Mul6RmPQaCUtKoGw3bP03OPBG7Tsml7v2xAnTC8Onw6gHITX6U/mbiwJKbHPhYjjXso3fx7wPqo6nzEMiiYwfP96Z4qIwZ84cJk6cWN/gsCGpqalMmjSJ1atXs3z58ojGPXPmDKWlpbY3+opExTCg5zC4Z3NtKFV9C4FK8CfXbuxtA+9DW3+F0iZcw1Db+6A8lodNczaTl5cXl3dojT3i27JlC7t27eKJJ55ocpx58+aRn59PZWVlRPfdt28fGRkZ9QsuRJqd21O7Tyq1JyR0aRPhBAoocUgiiQxkEB5i27flxk3giwA/Sx0cl8UEFhaG14AGXtNVVFRw//33s3btWhISmn65nJ6ezsiRI3nppZciurf2P4nERi3fxTEhQrzEWo5xLKpHfS5c+Gr8/Hu/59izbU9U73YaEyTInyimgG18w9eEQ2EMl4HbcNObdLK4jp70ZFr2NPx+P88991zEYxcWFjJ16lRKSkqaPEB2xowZ9O/fnwceeMDutyTSoegdlDjGjZsp3MMrbKSUI9TQ9DmCJiZd6ELhzB3cP/V+R8IpTJitvM8OdgBW/eINw1372DBEiMOUUMoRjCqDT72f8NbKt6O6R1ZWFqmpqWzZsoU77rij0WuLioqYMmVKTN+LSEemGZQ4LkyYfXxMAdv4lgqCBC94P+XFSyc6MYKRVBdWM/Vf7uHQoUP4/TFuMvyLaqrZyAbKORpRQAK4Qi6ud49mNDdGda9Nmzbx7LPPUlhYeNFrgsEgycnJHD9+nKSk5ml7ItJeKKAkrr7kGLvYyTd8Q4AAXrykkMI1DKUXvSAMQ4cOZf78+UycONHWvcKE+TXrKaM06tWEHjzcyBiyuC7izwSDQfr06cMrr7xy0T5VBw4c4M477+Tw4cNR1SMiesQncdaDS7mDf7jo19f/ej0ej4e77rrL9r0K2cZRymJa6l5DDR/wPj1J41Ii27BomiZz5swhNzeXTZs2NXiNFkiIxE6r+KTFfP/99yxZssSRZeVhwmxne8SP9RoSJEgBBVF9Ztq0abz//vscOXKkwa8roERip4CSFvPUU09xww03MHz4cNtjHaaEkM1NwhYWhzlEJZHtbwJISkoiOzubZ555psGvK6BEYqd3UNIiysvLGThwIEVFRVxxhf0DKn9FPkcpsz2OiclobuQ6ro/4M+Xl5WRmZrK3dC8HOxdzjC+o4iymZbLzvZ3cN2QGw1OuxdQTdZGoKKCkRUyePJm0tDQef/xxR8ZbzmMECDgyVgYZTOLuiK8/TAkvluTj7+3DZboIn3dwrhcvBgZDGMYIskgk0ZE6Rdo7/UknzW7Xrl1s3bqV559/3rEx7bx7Ot8ZqiK6LkyY3/I2e9mDv6+v/t/OV7cPawfb+SN7yWYaP6abY/WKtFd6ByXNyrIs5s2bx/Lly0lMdG4m4XLwR9ls6Dyk81hY/DdvsJc9EYdjiBBnqORFXuAkJ+yWKdLuKaCkWb366qsEAgHHT1bohHOtORLp3OQ1u9nFPj6OaeZWTTX/wa8ceyQp0l4poKTZVFVVsXjxYvLy8hxvff5T+jsyi/LiZQADGr0mRIgPeC/mx4oWFgECfMxHMX1epKNQQEmzycvLY/DgwYwaNcrxsYczwpGA8uAhncYbQtYuaQ/Zuk8NNWynwHaLEpH2TIskpFl89dVX5Obmsnv37riMn0oq3elBOUdjHsPE5Fqymgy6ArY50j34eyop5yhXcKXtsUTaI82gpFk88sgjTJs2jd69e8ftHrfwtzH3ozIw8OFnCEMbvS5MmGN8EdM9zldDNZ+gM/pELkYzKIm7oqIi3nrrLUpKSuJ6n8u5nPHcyW94nWAU74cMDDrRiWym46fx09TPchYXLtuP+Op8H8WpFSIdjQJK4sqyLHJycli6dCnJyclxv19/BuDBw2ZeJUy4ySDx4MGHj2zuJZXUJsd3+p2R1cC+KRGppYCSuHrjjTc4ceIE06dPb7Z7ZnAVs5nLLnawhw+xftC0sI4XLwkkkMV1DGRQxMvUffgIORgqOlVC5OIUUBI3gUCABQsWsGbNGkyzeX/UUkjhbxjHGMbyJ4o5ShmVVOLCRSJJXEU/ruRKDKI7Rd2Nm6505QTf2K7Ri5cr6Wl7HJH2SgElcbN69WoyMjK4+eabW6wGE5MBZDKATMfGvI5RvMkW2yv5vHjpTbpDVYm0PwooiYsTJ06wcuVKCgqi66/UFlzNT3mTLbbG8ODhWof2bom0V/rtkLhYunQpEydOJCMjo6VLcVxduMS6pB1qzw4czBAHqxJpfzSDEscVFxezefNmDh482NKlxM1oxvAlxzjCkahbzHvwMIWpJJAQp+pE2gfNoMRx8+fP5+GHHyY1tell222VCxcTmUw66RHPpAwMvHiZzBQux36TRpH2Tg0LxVHvvPMOc+fO5cCBA3g8sT8CayvChPmQ3RSwjbNUNbhwwsTEAvrSl5sYy4/o2vyFirRBCihxTE1NDZmZmTz55JPcfvvtLV1Os7KwKOUI2yngOMepphoXbvz4GcQgBjOES7ikpcsUaVP0Dkock5+fT48ePbjttttaupRmZ2CQRi/S6NXSpYi0G5pBiSMqKiro27cv7733HgMGNN5PSUQkEgooiViAAFWcIUgIHz4SSKjfx5OTk0NlZSUvvPBCC1cpIu2FAkoaFSbMYUoopIAvKMeNGwODMGFMTIYyjK6f/5gxQ2+iuLiYbt26tXTJItJOKKDkovbxMW/zJkGCFz3Wx8SkuroaT5mXh/osbrJdhYhIpBRQ0qD/4QMK2EZNhH2V3JabRCOJ6dxLMinxLU5EOgRt1JUL7GRHVOEEEDJCfMdp1vIiVVTFsToR6SgUUHKOk5zkd/w2qnCqY2HxZ/7MFv7L+cJEpMNRQMk5dvAHwjYa8oUIUcIhKtXKXERsUkBJvWqq+Yg/2gqoOnvZ40BFItKRKaCkXjEHIMoOsw0JEmQnf7BfkIh0aAooqXec49TY7BJbp5JKQoQcGUtEOiYFlNQ7wxnHxnLj5ixnHRtPRDoeBZTU8+J1bKwwYVsdZ0VEFFBSL5nO9Wfr2WVgKKBExBYFlNS7mv6OBJSBwVX0w3BgwYWIdFwKKKmXSio96GF7HBOTLEY6UJGIdGQKKDnHSEbZfheVTAqXcplDFYlIR6WAknP8NX35Cd0xY2y27MHD7fy9w1WJSEekgJJzuHAxmSmk0CXqkDIx+TvGk0ZanKoTkY5E7TakQQECbOA/+YovL9oLqo6JiYHBP3EXfclopgpFpL1TQMlFWVh8zucUso0ySoHaY4ygdqZlYuLBw3BGcA1DuIRLWrBaEWlvFFASkdOc5hAHqaSSGmpIIIFudCOdPo7tnRIR+SEFlIiItEr601dERFolBZSIiLRKCigREWmVFFAiItIqKaBERKRVUkCJiEirpIASEZFWSQElIiKt0v8BXpu4osTXi5MAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(2)\n", "fig, _ = plt.subplots(1)\n", "nx.draw(g, pos=nx.spring_layout(g), cmap=plt.get_cmap('jet'), node_color=np.log(one_hot_to_labels(labels_one_hot)),\n", " node_size= np.sum(200 * labels_one_hot, axis=-1) + 150)\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Preparation of data\n", "In the following, we prepare our data. Let us assume that after the splitting of the karate club, we only have information from 4 members. In this case, each member is part of another group.\n", "\n", "This will give us a nice example for a weakly supervised learning task. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "np.random.seed(2)\n", "\n", "# Pick randomly one karate fighter from each class\n", "labels_to_keep = np.array([np.random.choice(np.nonzero(labels_one_hot[:, c])[0]) for c in range(4)])\n", "mask = np.zeros(shape=labels_one_hot.shape[0], dtype=np.bool)\n", "mask[labels_to_keep] = ~mask[labels_to_keep]\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(2)\n", "fig, axes = plt.subplots(1)\n", "nx.draw(g, cmap=plt.get_cmap('jet'), node_color=\"grey\",\n", " node_size=150)\n", "\n", "np.seterr(divide = 'ignore') \n", "np.random.seed(2)\n", "nx.draw(g, cmap=plt.get_cmap('jet'), node_color=np.log(one_hot_to_labels(labels_one_hot * mask[:,np.newaxis])),\n", " node_size=450, ax=axes)\n", "np.seterr(divide = 'warn')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These data we will now use for performing semi-supervised node classification using graph convolutional networks." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Model definition\n", "\n", "In the following we preprocess the data and create a [Graph Convolutional Network](https://arxiv.org/abs/1609.02907) to classify the nodes of the graph (determine the membership of each karate fighter). For more details see Sec.10.4.1 of the book.\n", "\n", "Additionally, we create a mask for masking the memberships of all karate fighter except the four members (`labels_to_keep`) when training the GCN.\n", "\n", "#### Task 1: Create a meaningful training and validation mask" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "train_mask = np.zeros(shape=labels_one_hot.shape[0])\n", "val_mask = np.zeros(shape=labels_one_hot.shape[0])\n", "\n", "print(\"val_mask:\\n\", val_mask)\n", "print(\"\\ntrain_mask:\\n\", train_mask)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Preprocessing and preparing of data\n", "y_train = labels_one_hot * train_mask[..., np.newaxis]\n", "y_val = labels_one_hot * val_mask[..., np.newaxis]\n", "\n", "fltr = spektral.layers.GCNConv.preprocess(adj).astype('f4') # normalize the adjacency matrix (See Sec.10.4.1)\n", "X = np.identity(34) # create input for the DNN (the existence of each person (one-hot encoded))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To add a GCN layer to the model use `spektral.layers.GCNConv()[feature_input, adjacency]`, where `feature_input` denotes the input features and `adjacency` the normalized (pre-processed) adjacency matrix ($\\hat{A}$). \n", "Note that the adjacency matrix has to be passed to each GCN layer." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "F = 2 # number of features\n", "N = adj.shape[0] # number of nodes\n", "\n", "X_in = keras.layers.Input(shape=(N,))\n", "fltr_in = keras.layers.Input(shape=(N,))\n", "x = spektral.layers.GCNConv(F, activation='tanh', use_bias=False)([X_in, fltr_in])\n", "x = spektral.layers.GCNConv(F, activation='tanh', use_bias=False)([x, fltr_in])\n", "\n", "output = ....\n", "\n", "model = keras.models.Model(inputs=[X_in, fltr_in], outputs=output)\n", "\n", "print(model.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Semi-supervised training of the GCN\n", "\n", "For training the model, you can make use of the code skeletons below.\n", "To mask during training the DNN predictions for nodes for which labels are not known masking must be applied. This will guarantee that only the predictions made for the four nodes contribute to the objective.\n", "\n", "For implementing this condition to perform semi-supervised node classification, you can make use of the `sample_weight` argument of `model.train_on_batch()`.\n", "\n", "Note that in this exercise, in contrast to most other exercises, we have to train the network on a single data structure (an undirected graph). Thus, the input data are always `[X, fltr]`, and the targets are `labels_one_hot`." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "learning_rate = 0.01 # this is a reasonable learning rate to start with\n", "epochs = 100\n", "\n", "\n", "model.compile(...)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": true }, "outputs": [], "source": [ "history = []\n", "\n", "for i in range(epochs):\n", " loss, acc = model.train_on_batch(...)\n", "\n", " val_loss, val_acc = model.test_on_batch(...)\n", " history.append([val_loss, val_acc])\n", "\n", " if i % 100 == 0:\n", " print(\"iteration:\", i, \"val_loss:\", val_loss, \"val_accuracy:\", val_acc)\n", " print(\"iteration:\", i, \"loss:\", loss, \"accuracy:\", acc)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot training history" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "fig, axes = plt.subplots(2, figsize=(12,8))\n", "if type(history) == dict:\n", " loss = history[\"val_loss\"]\n", " acc = history[\"val_acc\"]\n", "else:\n", " loss, acc = np.split(np.array(history), 2, axis=-1)\n", "x = np.arange(len(loss))\n", "axes[0].plot(x, loss, c=\"navy\")\n", "axes[0].set_yscale(\"log\")\n", "axes[0].set_ylabel(\"Validation loss\")\n", "axes[1].plot(x, acc, c=\"firebrick\")\n", "axes[1].set_ylabel(\"Validation accuracy\")\n", "axes[1].set_ylim(0, 1)\n", "axes[0].set_xlabel(\"Iterations\")\n", "axes[1].set_xlabel(\"Iterations\")\n", "plt.tight_layout()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.9" } }, "nbformat": 4, "nbformat_minor": 4 }