{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "MST_with_SGD", "version": "0.3.2", "provenance": [], "include_colab_link": true }, "kernelspec": { "name": "python3", "display_name": "Python 3" }, "accelerator": "GPU" }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "metadata": { "id": "pTEPzT80BaiE", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "import tensorflow as tf\n", "import networkx as nx\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "fTV-SrxmH5P0", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "plt.style.use('ggplot')" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "rUA68G2YH7cr", "colab_type": "code", "outputId": "7794de68-5030-4ca3-c85b-a6e28e64d2ad", "colab": { "base_uri": "https://localhost:8080/", "height": 33 } }, "cell_type": "code", "source": [ "tf.__version__" ], "execution_count": 3, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "'1.13.0-rc1'" ] }, "metadata": { "tags": [] }, "execution_count": 3 } ] }, { "metadata": { "id": "56LhZEMbJcWb", "colab_type": "text" }, "cell_type": "markdown", "source": [ "Постановка задачи:\n", "* Дана матрица смежности A полного взвешенного графа G ($A_{ij} \\geq 0 \\in R$)\n", "* Найти методом градиентного спуска такую матрицу X, что матрица $A \\odot X$ есть матрица смежности минимального остовного дерева G\n", "\n", "Так как задача должна решаться методом градиентного спуска, то будем рассматривать матрицу $X \\in [0, 1]$ как матрицу вероятностей нахождения ребра {ij} в остовном дереве.\n", "\n", "Будем опираться на следующие факты:\n", "* Любое остовное дерево графа из N вершин содержит строго N-1 ребер\n", "* Любое остовное дерево является ациклическим графом, а следовательно все собственные значения матрицы смежности ациклического графа строго равны нулю (так как это треугольная матрица с нулями на диагонали)\n", "\n", "Отсюда мы получаем следующие ограничения:\n", "* $\\sum_{i=1}^{N}\\sum_{j=1}^{N}{X_{ij} \\to (N - 1)}$ : граф является графом на N - 1 вершинах\n", "* $\\sum_{i}{\\lambda_i} \\to 0$, где $\\lambda_i$ это собственные числа матрицы $A \\odot X$ : граф является ацикличным\n", "* $\\sum_{i=1}^{N}\\sum_{j=1}^{N}{(A_{ij}*X_{ij})} \\to min$ : граф является минимальным остовным деревом\n", "\n", "Будем минимизировать следующий функционал:\n", "$L = \\sum_{i=1}^{N}\\sum_{j=1}^{N}{(A_{ij}*X_{ij})} + |\\sum_{i=1}^{N}\\sum_{j=1}^{N}{X_{ij} - (N - 1)}| + \\sum_{i}{|\\lambda_i|}$" ] }, { "metadata": { "id": "KIhTSRDdH9IT", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "def loss_function(X, A):\n", " '''\n", " The loss function.\n", " \n", " Keyword arguments:\n", " X - matrix of X_ij, probabilities that edge ij is in the Tree\n", " A - adjacency matrix of the Graph\n", " \n", " Return:\n", " Loss\n", " '''\n", " \n", " weights_part = tf.reduce_sum(tf.multiply(X, A))\n", " tree_limit = tf.abs(tf.abs(tf.reduce_sum(X)) - (int(A.shape[0]) - 1))\n", " e, _ = tf.linalg.eigh(tf.multiply(X, A))\n", " eigen_part = tf.reduce_sum(tf.square(e))\n", " \n", " return 0.5*weights_part + tree_limit + eigen_part" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "uDIYCCGOl7rw", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "def get_adj_matrix(X, A):\n", " '''\n", " Get adjacency of tree from weights X and adjacency X.\n", " \n", " Keyword arguments:\n", " X - matrix of X_ij, probabilities that edge ij is in the Tree\n", " A - adjacency matrix of the Graph\n", " \n", " Return:\n", " new_adj - new adjacency matrix with threshold 0.5\n", " '''\n", " \n", " labels = tf.to_float(tf.greater_equal(X, 0.5))\n", " \n", " return tf.multiply(labels, A)" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "hk9reeiuQEZj", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "def alg(A, steps=5000):\n", " '''\n", " Main algorithm.\n", " \n", " Keyword arguments:\n", " A - adjacency matrix of the Graph\n", " steps - the number of steps in gradient descent process\n", " \n", " Return:\n", " X - matrix of learned weights\n", " T - adjacency matrix of MST \n", " '''\n", " \n", " def prob_constr(T):\n", " return tf.clip_by_value(T, 0, 1)\n", " \n", " with tf.variable_scope(\"MST\", reuse=tf.AUTO_REUSE):\n", " X = tf.get_variable('Probs',\n", " A.shape,\n", " dtype=tf.float32,\n", " initializer=tf.ones_initializer(),\n", " constraint=prob_constr)\n", " A = tf.constant(A,\n", " dtype=tf.float32,\n", " name='Adjacency')\n", " \n", " loss = loss_function(X, A)\n", " opt = tf.train.MomentumOptimizer(1e-3, 0.9, use_nesterov=True)\n", " train = opt.minimize(loss)\n", " \n", " initializer = tf.global_variables_initializer()\n", " \n", " with tf.Session() as sess:\n", " sess.run(initializer)\n", " for step in range(steps):\n", " sess.run(train)\n", " \n", " x_matrix = sess.run(X)\n", " tree_adj_matrix = sess.run(get_adj_matrix(X, A))\n", " \n", " return (x_matrix, tree_adj_matrix)" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "Ip8Ggj47VbNu", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "random_weights = np.abs(np.random.normal(0, 1, (10, 10)))" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "R_1mr081V2ec", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "G = nx.from_numpy_array(random_weights)" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "yuZjKux1WCiX", "colab_type": "code", "outputId": "51dcc7ec-b64b-485e-96ad-67a44792b014", "colab": { "base_uri": "https://localhost:8080/", "height": 477 } }, "cell_type": "code", "source": [ "nx.draw_circular(G)" ], "execution_count": 9, "outputs": [ { "output_type": "stream", "text": [ "/usr/local/lib/python3.6/dist-packages/networkx/drawing/nx_pylab.py:611: MatplotlibDeprecationWarning: isinstance(..., numbers.Number)\n", " if cb.is_numlike(alpha):\n" ], "name": "stderr" }, { "output_type": "display_data", "data": { "image/png": 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kyBBs2LChxudr6jz9/f0xcuTIGs/LysqClZUVZsyYIXDwRtM0IiMjYWNjg9atWyMsLExm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\nGDhwIOLi4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ddff0l6qDKBqLZXWlpK9O/fnzA2NiZ8fX2JIUOGEMnJyUS/fv0oHKX08eXL\nF8LQ0JBgMBjEpk2bRJ4DJIk0zz8cDofIzc0lHu7aRbjExxPyNTXCN9a6NUGcOUMQHTtSN8CmEKub\nKC2sXSuad839SHktPFn/8y5YsAD/9//+X5lMgxeGr1+/ok2bNvj333+FUv9vCFm3AUlw5coV2NjY\ngCAI/Pvvv1i5ciUqKyslPSyZgwrbKy0thaWlJf755x+hknNkFVdXV6iqqsr8UbxMzD8y6A/8N3fc\nFi4kiHnzRG4mnCCIGNFH85vf/OY3v/nNbyRAOEEQ0VQ0FB1NEOHhVLTULH+KpRdpQ1mZkmZ6DBlC\nXL16laiqqiLwI15Qqj4EQUh8DMJ+Pn36RCgoKBAzZswgAgICJD4euj9Hjx4lmEwmkZ2dTRQXFxP2\n9vaEv78/weFw/rM2IM7Pu3fviKCgIILBYBARERHEiBEjiNDQUKJ169bEzp07CQsLC6JTp07EqVOn\nCJIkJT5eWfiIantnzpwhlJWViTNnzhBlZWWEk5MTMWLECKKmpkbiPxudn2vXrhE6OjqEh4cHsWLF\nComPR5I2QMeHJEnixYsXREpKCjFhwgTiH3V1SvwBqvwKvsB/kZs36ysiC/ipkpNDjIcHLC0t0aJF\nC/To0YNXkqq5YsHiQpb/vAsWLIC/vz8KCwuhoKDwS9d5PHz4MJhMZh0dsJKSEnTt2hVjx44VKRBe\nlm1AHHz+/BmhoaFgMBiYNm0aCgsL8fbtWygqKqKoqAijRo1CTEwMOBwO0tLSYGRkhB49eiA7O1vS\nQ5d6RLG9U6dOgclk1tHILC8vh7OzM4YNG8aTCvoV8fT0REJCQj1ZJFlEGuafn0tqaWpq8kpqxcfH\n435yMjgtW4rkD6B1a+DWLbH9TJL/rUoKEbNKS8zMeE39XAReXl6eVwR+165dEqtVKA0PjTBw0+Dz\n/kfYMDAwEBERERIeFT0cPHgQLBarwaobpaWl6N69O0aPHi10Vq2s2gDdFBcXIzIyEkpKSggMDOSV\nuwGA2bNnY/LkyQB+lFRSU1PjxbjV1NRg8+bN0NbWhouLC3JyciQyfllAWNvLyMgAk8nExYsX632v\noqICffv2hYeHh1D1K6WdgoICKCkpoaSkBADQtWtXma4MIYn5p6Ei9m3atOEVsX/y5AkvdrCoqAiz\nZ8/G9f/zf0Rz3MScVfrfndVF1HGb17p1o+Vtqqurce3aNSxfvhyDBw8Gi8WClpYWvLy8sHr1aty5\nc0cs8hayumj/nAb/6NEjMJlMlJWVSXBU1LNv3z6wWKw64q4/8/37dzg6OsLHx0com5FVG6CL8vJy\nLF26FCwWCyNHjsTTp0/rfL+kpARKSkp49uwZ72vOzs7YunVrnesqKyuxatUqqKqqwtPTs8EC1v91\nhLG9EydOgMlkNlklpbKyEi4uLnB3dxe6jrO0EhwcjFmzZvH+n56eDhsbG5lNUhDH/PP+/Xvs27cP\nU6dOhY2NDeTk5NClSxfMnDkT6enp+PTpU717apfBCwgIwJeICJBC+gO/ddzESXn5j1pjwvyhzM1R\n8eUL3wWlSZLE48ePsXXrVvj5+cHExAStW7dGnz59sHDhQpw7d44Wp0QWF20OhwMTE5N6WZUDBw7E\nmjVrJDMoGtizZw9UVFRw+/btZq8tKyuDk5MTvLy8BD42kUUboIOqqiqsXbsW6urqGDx4MB48eNDg\ndStWrMDQoUPrfC0zMxPt2rVrcPH8/v07YmNjoaysjDFjxjRaz/S/iKC2d/ToUTCZTFy+fLnZaysr\nK+Hm5oaBAwf+Ms7bly9foKioWGf3l8PhwNjYGBcuXJDgyISH6vmHJEnk5eVh48aNGD16NAwMDKCo\nqAgXFxfExsbi4sWLTVYnqqioQHx8PFRUVDBixAjeuv313Ts8+X//T2h/4HflBHGSmwsYGAj0Ryr4\n80+cr5X2W1paiujoaCgpKcHPz4/vY9HCwkIcOnQIM2bMgJ2dHeTk5NCpUydMmzYN+/fvpySmSxYX\n7cOHD6Njx471FslLly7BwMDglxDiTU1NhaqqKu7cucP3Pdz4Hk9PT4GOiGTRBqiEzWYjOTkZenp6\n6NOnD27cuNHotTU1NdDR0alXc5QkSVhYWODEiRON3vv161fMnTu3wQLW/1UEsb309HSwWCyB6r1W\nVVVh0KBBcHV1/SXkWmJjYzFq1Kh6X09KSoKbm5sERiQ6os4/lZWVyM7OxpIlSzBgwAAoKSlBT08P\nPj4+WL9+PR48eMBXDHB1dTWSkpKgqamJgQMH4t69e7zvFRUVoWPHjojx8QEpoD/wu1appMjL+7Hz\n1sw2Kfnnn4C5OXJ27QKTycSRI0fqNMMtYK2oqIjg4GCBHa/y8nJcuHABMTEx6N+/PxQUFGBkZARf\nX19s2rQJDx8+FHi7XBYX7W7duiE1NbXe10mShK2tLfbv3y+BUVFHSkoKVFVV60wc/FJRUYF+/fph\nyJAhfDtvsmgDVMDhcLB3716YmprCwcGBrx2LtLQ0dO3atcHvbd++Hb169Wq2jY8fPyIkJAQMBgOh\noaH4/PmzwGP/VeDX9rhxnk051Y1RXV2NIUOGoH///qioqBD4fmmhsrISampqDYbelJeXQ0VFBfn5\n+RIYmWgIOv98+fIFR48exezZs+Hg4AB5eXlYWVkhODgYe/bswdu3bwVqj81mIyUlBQYGBnBycqr3\nYvD582d06NAB06ZN+7G+5uXhs7o62Pwcj5qbS8RpA347bj8oL/9xRm1n9yM7pLbD1ro1bv37Lx4H\nBfG2Q69fvw4Wi4VDhw7Va6p2AeuwsLA6BawFgcPh4P79+1i3bh28vb2hq6sLZWVlDBw4EEuXLsXl\ny5ebPSKQtUX72rVr0NHRafQ4cO/evbATcxAolWzfvh1qamqNHtPxQ2VlJVxdXfmO75E1GxAVkiRx\n/PhxWFlZwcrKCidOnODrhYckSXTs2LHRGphVVVXQ0NDg62gbAF6/fs0rYB0VFcULNv8vwY/tceM8\nb4mQkVddXY2hQ4eiT58+TR6TSTNbt26Fs7Nzo9+PiopCQECAGEdEDU3ZAEmSKCgowPbt2zF+/Hi0\na9cOLVu2RK9evTB//nycOnVK6OeGJEkcOHAA7dq1g52dHc6ePVvvmk+fPsHS0hKhoaG8OYLD4cDc\n0PDHet+AP4DWrX98PSFB7Mejtflvzer8cPPmDwXk6Ogf/968iaSkJLi6uv502U2wWCwcOHCgwWZq\nF7COjo7mFbAWhdevXyMtLQ2TJ09Ghw4dIC8vj27duiEsLAzHjh2r5yTK2qLNTYNvDDabDT09PZmU\nYti6dSvU1dV5mbKiUFlZiQEDBmDAgAHNHhHJmg2IwoULF+Dg4ABTU1Ps27dPoB3q8+fPw9jYuMlj\nl7i4OHh7ews0pqdPn8LHxwcsFgvLli2TWcdCGJqzvd27d0NFRYWSzNyamhoMHz4cvXv3lrkkJpIk\n0a5dO2RmZjZ6zadPn6CoqChzski1baCmpga3bt3CypUrMXToUKirq0NNTQ1Dhw7FihUrcPPmTZGl\nT0iSREZGBmxsbNC+fXscPXq0wXmgsLAQ5ubmCAsLq/P99PR0WFtb/+/XGvAHpIH/zqwuAuXl5WCx\nWPUW3du3b0NFRQV79+5t9N7aBawTEhIo3c4vLi5GZmYm5s2bB0dHR7Ro0QJmZmYIDAzEjh07QBCE\nzGQj/ZwG3xiJiYlwd3cX06ioYdOmTdDQ0KA087Cqqgru7u5wcXFp0nn7LzhuN27cQJ8+faCnp4fk\n5GSh4iBdXV2xvpmSNd++fQODwcCrV68Ebv/+/ftwd3eHhoYG1q1b98sE1DdFU7bHjfNs6GhQWGpq\nauDt7Q1HR0eZct5OnDgBCwuLZufqCRMmyJQsUmlpKQiCQGRkJJycnNCyZUu0bdsW48aNw/bt21FQ\nUEDp+nTp0iV069YNJiYm2L17d6MvYR8+fEC7du0wd+7cev137doVaWlplI2JLn79WZ0ioqKi4O/v\nX+/rd+7cgaqqarN/7Dt37sDNzQ2amprYsGEDLRpE1dXVuHHjBhISEuDh4QGCIKChoQFPT0+sWrUK\nt2/fltrg/p/T4Bvj+/fvUFZWbjKLV5pISkqClpYWLeOtrq6Gh4cH+vXr1+gLwa/suD148ADu7u5Q\nV1fH2rVrhXaG8vLywGKx+NoNmzZtGqZPny5UP8CPMAtnZ2eRnExZoTHbS0lJgZqaGu7fv095n2w2\nG6NGjUKPHj1kpsZxr169sH379mave/z4sVTLIr19+xZ79uxBcHAwOnbsCHl5eRAEgdmzZ+PIkSMo\nKiqipd9bt26hX79+0NHRwZYtW5rctXv//j1MTU0xf/78ek7b1atXmwzVkSZ+3VmdYj59+gQFBYUG\ns8Xu3bsHNTU17Nq1q9l2rly5gl69esHAwAA7d+4USRW/OQiCwNOnT5GcnIyAgACYmpqiVatW6N27\nN6KionD69GlKjnBFpaioqF4afFOEh4djwoQJNI9KdNauXQttbW08efKEtj6qq6vh6enZaHzPr+i4\n1T5+XLp0qcjHj/7+/oiMjOTr2pcvX4LBYIhcHeX8+fOwt7dH27ZtBT7WlRUasr3k5GSoq6sjNzeX\ntn7ZbDbGjBmDrl27SsX81hS3b9+GhoYG3y8d7u7uUiGLxOFw8ODBAyQlJWHkyJHQ09MDg8GAm5sb\nlixZguzsbFRWVtI6/+Tl5cHDwwNqampITExsNmzk3bt3aNOmDRYsWNDg97lHtrLArzer08iECRMw\nd+7cBr/34MEDqKmpYceOHXy1debMGXTu3BlmZmY4ePAgLRN3Qw/N58+fcfjwYYSGhsLe3h5ycnKw\ntrbGlClTsHfvXrx7947ycTRHTEwMRo8ezff179+/h4KCAgoLC+kblIgkJiZCR0enjpArXdTU1MDL\nywtOTk713sZ/JcftzZs3GD9+PC/gv7i4WOQ2hbGlESNGYOnSpSL3zU2k6NChAzp27Mh3IoWs8LPt\nbdmyBRoaGmLJjuRwOPD394e9vb1UJ4Z4e3sjLi6O7+uzs7MlIotUUVGBS5cuITY2Fq6urlBUVISB\ngQFGjx6NDRs2IC8vr8FNCDrmn4KCAowePRpMJhNLlizhawfyzZs3MDY2xqJFixr8/rNnz/gK1ZEW\nfp1ZXQw8fvwYysrKjW7B5+XlQV1dHdu2beOrPZIkceTIEVhYWMDGxgaZmZmUTtz8PDTcB3Lx4sW8\nB1JfXx+jRo3Chg0bkJubS+uuIDcNXlB5DD8/P0RFRdE0KtFYsWIFdHV18fz5c7H1yWaz4ePjA0dH\nxzr2+Ss4boWFhZg2bRotEhtz585FYGCgQPfcunULmpqalMWpcaVL2rRpg65duzZY6kkWqW17Gzdu\nhKamplgrTHA4HIwfPx52dnZSUz+6Nq9evRJq97Zz5860yyJ9/vwZ6enpCA0NRZcuXSAvLw9ra2tM\nnToV+/bt41unkMr55+3bt5g4cSIYDAbmzZvH9+/t9evXMDQ0xOLFixu9ZvLkyZg9ezZVQ6Ud2Z/V\nxYy7uztWr17d6PcfPnwIDQ0NbN68me82axew7t69e5PlXgRBmIeGw+EgNzeXtwWur6/P2wJfvHgx\nsrKyKBW73LJlC/r06SPwfbm5uXzHJYmT5cuXQ19fXyIK+mw2G6NHj0aPHj14R0Sy7Lh9+/YNERER\nYDAYCAoKonw3mBsv+ejRI4HvdXR05Ht3nV/YbDa2bdsGXV1d9OnTp8lSaLIA1/bWr19PW5xnc3A4\nHEyYMAG2trZS57xNnz4d06ZNE/i+ffv2USqLRJIknj59im3btsHf358XUuPs7IyoqCicOXNG6CNn\nKuafz58/Y+bMmWAwGJg+fbpAu+MvX76EgYEBli1b1ug13FAdQTXiJInszuoSIjs7G/r6+k1uVT96\n9IiXhCAItQtY9+/fn2/NqMagatHmBp1OmTKFF3Rqb2+PWbNmiRR0SpIk2rZti1OnTgl1v4uLC5KS\nkoS6lw7i4uJgYGAgVNYhVdSO7ykpKZFJx612GSlfX1/adi5Xr16NQYMGCXXv8ePHYWlpScvRZlVV\nFdasWcMrz0VnPBidEASBNWvWQFtbu15NWHFCkiQmT54MGxsbfP36VWLjqA03Q5nfSju1YbPZ0NfX\nF1oWqbq6GtevX0dCQgKGDBkCFRUVaGhoYNiwYUhMTMTt27cpC9AXZf4pLi5GZGQklJSUEBgYyHcM\nNJfnz59DT08P8fHxTV63aNEi+Pr6Cj1OSSB7s7oUYGdnh3379jV5zZMnT6CtrY1169YJ3H7tAtZD\nhw4VOiaErkW7tLQUp0+fbjDNOzk5Gc+ePeNrQRN18Tt37lyz2lviIiYmBkZGRnj9+rWkh1InvkeW\nHDeu3XO1neiMheIufsLubov60sEPZWVlWLp0KZhMJkaOHCmWeEkqIQhCbHGezUGSJKZOnYqOHTvS\nlt0oCEuXLsWIESOEvn/16tV8yyIVFxcjIyMDERERPNkoc3NzBAYGIiUlBS9evKAttlKY+aesrAxx\ncXFgsVgYNWqUUPZTUFAAHR0drFq1qsnrKisroaqqSkuGM53IzqwuRezfvx+2trbNGvuzZ8+go6PT\n5NFqU4i68yCuRZsrrLhq1Sp4enryhBU9PDyaFFYU9bipObV7cbFw4UKYmJhI1VY7h8NBYGAgCIKQ\nuiOin+HuNOvo6MDFxUXknWZ+2LdvHzp37izSgiXsMb+giLrzIAkSEhJAEIRY4zybgyRJTJ8+He3b\nt5doKbKqqipoamqKVC2iKVkkrlD7pEmT0L59e55Q+5w5cxoUaqcTQdag2jvNQ4YMEXqn+enTp9DW\n1uYr+3bz5s3o27evUP1Ikt+OmxCw2WwYGBjw9bb+/Plz6OrqYuXKlUL3V7uAtSCxPpLabeGWMtmx\nYwfGjx8PMzOzOqVMMjMzcfHiRWhqaoqsZ5eamtpofUlxEBkZiTZt2kgkG7c5SJIEQRCwtbWVmiOi\n2nBjO42NjdG9e3exVcTg1r1tbte8OZqqL0kHP8f6fPr0SSz9CsqyZcugr68vlbu9JEkiNDQUlpaW\nEvv97dixA46OjiK3w02suXfvHtauXQtvb2/o6OjUKY145coViYo982MDtWM7+/btK1Js5+PHj6Gl\npdWsmDbwY/4xNTXF6dOnhe5PUkjfkyUjrFmzhu/4mBcvXkBfX7/Zs/bm4GbXKSoq8pVdJ00TZ1FR\nEY4ePYqwsDB07doVf/31FzQ0NDB58mTs3r1b6F2Empoa6Ojo4Nq1axSPuGlIkkRERATatm0r1WVo\nCIJAcHAwrK2txfqm3RTcbGpLS0tasqmbIysrq9k4VX4RVMqGCmpn10VEREjVjuqSJUtgaGiIfAQu\nxAAAIABJREFUV69eSdX8UxuSJDFnzhyYm5vj48ePYu/b0tISx48fF+r+8vJyXLhwAYsWLYKjoyP+\n+OMP6OnpYcyYMdi0aRMePnwoVZIyTdkA1dnUDx8+hKamJjZu3MjX9ceOHUP79u2l6vfFL9L5ZMkA\nZWVlYDKZfGekvXr1CgYGBpToP71+/ZqnZxUZGdmonpW0TpwvX76EoqIiMjMzERcXhwEDBkBJSQm6\nurrw8fHB+vXrcf/+fb5j1xISEuDp6UnzqP8X7sRvZmYm9olfULhlz0JCQmBlZSXx+J6zZ8/Srl/Y\nHIMGDRI6fOFnBBWPppLaelaLFy+WuKL+okWLYGRkxPtdSOv8A0juxevUqVNo27Yt33ZfWFiIgwcP\nYsaMGejcuTPk5ORga2uLadOm4cCBA/D29pZaWSSgYRsgSRLHjh3j6ReePHlS5HkgPz8fGhoa2LJl\nC9/39OzZEykpKSL1Kymk98mSASIiIgTSgHr9+jWMjIya1JMRhOYU5KV14myobBBJksjPz8fGjRvh\n6+sLQ0NDKCoqwsXFBTExMbh48WKjZZ1KSkqgpKSEgoIC2sdOkiRmzZoFCwsLqT2qqg3XBkiSxIwZ\nMyQW33P16lX06tULhoaG2Llzp8RKPTWnxSgM/JZro4u8vDwMHTqUbwV5OliwYAFMTEzqhAxI6/xT\nm8jISJiamvKtSyYqffr0adS5IEkSjx8/xpYtWzB27FiYmJigdevW6Nu3L6Kjo3Hu3Ll6zrkg5dok\nwc82wK0YYmpqiv3791Py4pabmyuQfioA3Lx5E1paWrSUnhQH0v9kSTEfPnwQWHX97du3MDExQXR0\nNGXj4Baw/rlmozROnF+/foWioiJfkhnv37/H/v37ERISAhsbG8jLy8POzg4zZ85Eenp6Hcdp1qxZ\nCA4OpnPoUhPcLAi1baC20ymuqhN3797FgAEDoKWlRVuNXkFoqvqJsBQUFEiF6vrt27fRv39/vmo2\nUkljzo80zj8NIa7kort370JNTY3nWFdVVeHq1atYvnw53N3dwWKxoKWlBS8vL6xZswZ37tzh6wXH\n1dVVqmSRasO1gdo1erdv307Zi9v9+/cFqljExcvLq0ltN2lHNp4sKSYgIIDvOodcuDXTqN7i/rmA\ntTROnHFxcfD29hbq3u/fv+Ps2bNYsGAB+vTpg1atWqFNmzbw9/dHfHw8WrVqRZtDxZUTkIbjRkH4\n2QZIkkR4eDjtx7yPHj3C8OHDoaKigoSEhEZ3S8VJYWEhFBQUaDka8/T0REJCAuXtCkNWVha6desG\nExMT7N69mza5HO5xY7t27Rr8nUrj/NMYXDkfOo+8vby84Ovri/DwcPTo0QMtWrSApaUlJk6ciF27\ndgml6Qb82MWSFlmknyEIAu7u7tDQ0MC6desoTZS4e/cuVFVV+aoRXpsXL16AwWBQUjJPUsjOkyWl\n5OfnC7VV/eHDB7Rt2xbz5s2jPM7nwoULcHBwAEEQUlXAuqqqChoaGpTJPbDZbOTk5GD16tUYPnw4\n5OTk0KJFCwwePBjx8fG4du0aJTs8tQU8pSXAn18aizGZN28eLfE9L1++hJ+fH5SVlREdHS1VRb6j\noqLg7+9PS9vXr1+Htra22Ha5moMkSWRkZMDa2hqWlpY4evQopfMASZIICwtrMsBflhw34EdiBZUC\n2i9fvsSuXbswceJEmJqagiAI2NvbY+7cuTh58iRlSSUkScLa2lriski14YbxEASB5cuXU36Um5OT\nAxUVFezevVvge0NCQjBjxgxKxyNuZOvJklLc3Nz4Sj/+mY8fP8LMzAzh4eGUO1dcKYgOHTrAysoK\nx48fl7gDt337dvTq1Yu29u/duwcWi4Vt27ZhwoQJsLCwQIsWLdCzZ0/eZCnoWxaHw8HEiROlVlKj\nOZpaPKOioiiTMvnw4QOCg4PBYDAwZ84cqXNwy8vLwWKxkJeXR1sf3bp1Q2pqKm3tCwNJkjh48CDa\ntWsHOzs7nDt3jpI2+ZHUkDXHDRC+ZB2bzcadO3ewevVqeHl5QUtLCywWC4MHD8by5csxatQoTJo0\niaZRA2lpaRKVReLy+vVrjBs3DkpKSliwYAEtNnDr1i2oqKgIJecjSKiONCN7T5YUcuHCBRgZGQm1\nVV1YWAgLCwvMnj2bcseKIIg6KdcODg64cOECpX3wC0mSsLCwwIkTJ2jt5+fg369fv+L48eMIDw9H\n9+7dIS8vD0tLSwQFBSE1NbXJB1jai1TzQ3MTZ3R0tEjxPV++fEFYWBgYDAamTJkitdIoSUlJcHV1\npbWP9PR0WFlZSfwFqSHYbDZSUlJgYGAAJycnoeVzuHGeHTp0kCk5IkFISEiArq5uk+LBZWVlOHv2\nLBYuXIg+ffqgdevWMDExgZ+fH7Zu3YrHjx/z7EAcyVNcWaSrV6/S1kdTFBYWIiQkBIqKipg1axbP\nNqi2gRs3boDFYuHAgQNC3b9kyRL4+PhQOiZJIJtPlpRBkiRsbGxw6NAhoe7//Pkz2rdvj5kzZ1I6\n6dd+aH4uYH3jxg3K+uGHzMxMmJmZ0b6oNZduzw0IXrZsGQYNGgQmkwltbW2MGDECa9aswd27d8Fm\ns+uUjZJ00Lko8DNxxsbGClyuq7S0FNHR0VBSUoK/v7/Q8TnigMPhwNjYGOfPnxdLP1TsatFFdXU1\nkpKSoKmpiYEDB+LevXt830uSJK9eMT9xnrLquAFAYmJinXJdHz58wP79+zFt2jR06tQJcnJysLOz\nw4wZM3Do0KEmk33EJVe0YsUKDB06lPZ+alNbHH7SpEn1du+ptIFr166BxWIJfSTMDdXJycmhbEyS\nQnafLClj9+7dcHBwEPr+oqIiWFlZISQkhDLnpqGHpqqqCmvXruUVsH7w4AElfTWHs7Mztm7dSns/\nggpckiSJR48eYfPmzRg7diyMjY3RunVraGhoQEdHB8ePH5e4PpYo8DtxxsXF8RXfU1FRgYSEBKio\nqMDLy6vBkjvSRnp6OqytrcWyE5aUlAQXFxfa+xGViooKxMfH8/13FKZQu6w6blxpIm9vb8jLy0NH\nRwcKCgro378/YmJicOHCBb5jtmpqaqCtrY3r16/TPOr/3dkTR23Y2uUYx4wZ0+juJFU2cPnyZTCZ\nTBw5ckToNpKTk+Hk5ETJeCSNbD5ZUkhNTQ10dXVx5coVodv48uULrK2tMWXKFEoWmaYemtoFrH18\nfPD06VOR+2uMu3fvQl1dXWz6UqKUlGGz2Rg6dCjatWuHyZMnw9bWlid6OX36dBw4cEDqRXdrI8jE\nGR8f32h8T3V1NTZs2ABNTU0MGDBAbGWeqKBr165IS0sTS1/cWDph6yyKm593Thty3DkcDiZMmABb\nW1uBQgZkxXGrqqrC5cuXERcXh4EDB0JZWRm6urrw9vbGiBEjoKKigocPHwrVdmpqKrp160bxiBtn\n9uzZmDx5Mm3tV1ZWYuXKlVBVVYWnpyfy8/ObvJ4KG8jOzgaTyRS62gTwwxk3NzfHyZMnRR6PNCAb\nT5aMsHLlSnh4eIjUxtevX2Fra4ugoCCRnTd+HpraBazHjx9PSzr8qFGjEBsbS3m7jVFdXS1UEWc2\nmw0fHx84OjrWEWgtKyvD+fPnER0djX79+qF169YwNjbGmDFjsHnzZjx69Egq45oAwSfOFStWQFdX\nlxeP83NslKRiaITl6tWr0NHREWu2Z1RUFPz8/MTWHxUUFRU1GKvI4XAwbtw4dOnSReDEHml13L58\n+YJjx47xyu/Jy8ujQ4cOmDx5MtLS0uqFDGzatAkaGhoCO28kScLKygqHDx+mcvhN8vbtWygqKlIu\nWVRTU4NNmzZBW1sbLi4ufB83imoDFy9eBJPJFNnhysjIEEuojriQzidLRiktLYWSkpLIu1ffvn1D\n586dERgYKJI2jyAPTe0C1tOmTaNMoPXNmzdQVFQUe5bh0qVLMWLECL6vr6mpgZeXF5ycnJo9GmWz\n2bh79y7Wrl2LESNGQEdHB0wmE4MGDcKyZcskXti5NsJMnNz4nnXr1sHMzAx2dnY4e/YsDaOjn6FD\nh2LFihVi7fPTp09QUFAQmxo/lbx//56XHRwWFoaRI0fCwcFBqDhPaXDcSJLE8+fPsWPHDgQGBsLM\nzAwtWrSAo6Mj5s2bh8zMTL4c0q1bt0JdXV2grORz587BxMRE7Ppqvr6+WLRoESVtcTgcpKamwtjY\nGD169EB2drZA94tiA+fPnweTycSpU6eEboNL7969BaqsIO1I/sn6xQgLC6Mk7bu4uBj29vYICAgQ\n+sEX5qF59+4dgoKCKCtgPWvWLEyZMkWkNoTh27dvYDAYfAXNV1dXw9PTE87OzkLrDb169QqpqamY\nNGkS2rdvD3l5eXTv3h1z5szB8ePHJSYlIqgNkCSJzMxM6Ojo4O+//0ZSUpLMvqU+e/ZMYhUNJkyY\ngPDwcLH3SxUFBQUwMjLC33//jXnz5gmlxycJx62mpga3b9/GqlWr4OnpCQ0NDaiqqsLDwwMJCQm4\nceOG0NqOycnJUFdX5zsu2MXFBRs2bBCqL1HgVhMQJTSFJEkcPnwYFhYW6NSpE06dOiXUPCCsDZw9\nexZMJhNnzpwR6v7a3LlzB+rq6lLzMk0Fvx03inn37h1lW9UlJSXo2rUrxo4dK5TzJsrE+fz5c/j6\n+kJZWRmxsbFC1XbkBss2lVZPJ9OnT8e0adOavKa6uhpDhgxBv379KFX3Ly4uRkZGBiIiItCzZ0+0\naNEC5ubmmDBhAnbu3IkXL16IxSESxAaysrLQvXt3GBsbY/fu3Vi3bh00NTVlIgGhISZPnozZs2dL\npG86aqKKCzabjZEjR6Jnz57IycnhVcBYsWKFQM+IOBy30tJSnD59GlFRUejduzdatWoFU1NTBAQE\nIDk5GU+fPqX0OUtJSYGqqmqz2bi5ublQUVGRWMWQvn37ClRwvTZnzpxB586dYWZmhvT0dJF+f8LY\nwKlTp8BkMinLAh85ciRl9cGlhd+OGw2MGTOGsq3q0tJSdO/eHaNHjxa4vhsVE2ftAtarVq0S6C0u\nISEBw4YNE3kMwvLq1SsoKio2uttVVVUFd3d3uLq60p44UV1djevXryM+Ph5DhgyBiooKNDU1MXz4\ncCQmJiInJ4eWwuv82AC3xqW2tna9GpfCxvdImqKiIigqKtJef7Ip3N3dkZiYKLH+haGmpgbe3t7o\n1atXnZCBO3fuwM3NTaCas3Q4bu/evcPevXsxZcoUWFtbQ05ODvb29ggNDcXhw4fFUkM4NTUVqqqq\nuHPnTqPX+Pn5YcGCBbSPpTFOnz7dpCxSQ1y5cgWOjo4wNDTErl27KDniFdQGMjIyoKysjIsXL4rc\nN/BDELipNUBW+e240cCDBw+gqqpKmTPw/ft3ODo6YuTIkQIt7lROnLULWG/evLnZYG9uGry49eJ+\nZsSIEYiLi6v39crKSgwYMAADBgwQW7ZrbUiSxJMnT7Bt2zb4+/ujTZs2aNWqFZydnbFgwQKcPXuW\nkt2apmwgPz8fQ4cOhaqqKhITExv9PQgT3yNpFi1aBF9fX4mOITs7G/r6+rQ45HRQU1OD4cOHo3fv\n3o2GDNRe3Hfu3Nnk4i7q/MPhcJCbm4sNGzZg1KhR0NfXB4PBgKurKxYvXoxLly5JbEdrz549UFFR\nabB83/v376GgoNBkVQm6IUkS7du35ysT8+7duzynfOPGjZSUCeQiiA2cOHECTCYTWVlZlPUfGhqK\nqVOnUtaetPDbcaOJfv36YfPmzZS1V1ZWBicnJ4wYMYLvDDk63nhrH6elpaU1OnGnpqaie/fulPcv\nKLdu3YKGhkad+IbKykq4uLjA3d1dquIePn36hPT0dMycORNdunSBnJwcbGxsEBISgn379gkV7N6Q\nDXCPwZlMJhYvXsyXg7h9+3aoqamJTfdPFCorK6Gqqor79+9Leiiws7MTqjSPuKmursbQoUPRt29f\nvuI8ucdp5ubmOHToUIM7O4LOP5WVlcjKysLixYvh5uYGBoMBfX19jBo1CklJScjNzZWqQur79u0D\ni8XCzZs363x97ty5mDBhgoRG9b+kpKQ0KYv06NEjDB8+HKqqqgIfg/MLvzZw9OhRMJlMXL58mbK+\ni4uLJRqqQye/HTeaOH36NExNTSmdaMrLy+Hs7Ixhw4bx5bzRFWPCDWDnFrA+cuRInYlbEmnwTeHo\n6Ijt27cD+CE82q9fP3h4eFD6ZkkH5eXluHjxImJjY+Hi4gJFRUUYGhpi9OjR2LhxI/Ly8po9Cqlt\nA6ImnuzcuZOv+B5Js3nzZvTt21fSwwAA7N+/H7a2tlKd4MGN8+zfv79AizdJkjhy5EijAezNzT9F\nRUU4cuQIZs2aBXt7e8jLy6Njx46YMmUK9uzZI9Fjbn45ePAgWCwWT2D3+/fvUFZWloq40Orqamhp\nadWTRXr58iX8/PygrKyMRYsWCZV4wi/8rEGHDx8Gk8mkXGooPj5eoqE6dPLbcaMJ7lb1sWPHKG1X\nEMeD7uDg2gWsO3fuzJOMkFQafGMcP34cFhYWKCsrg7OzMzw9PaXeaWsIDoeDBw8eYP369fDx8YGe\nnh6UlJQwYMAAxMXFITs7u95xJ0EQlEq9pKWlNRvfI0k4HA5MTU1x+vRpSQ8FwI9AfwMDA0qPf6ik\nqqoKgwYNgpubm9AhAxwOB2lpaTAyMqojGVF7/iFJEs+ePUNycjLGjRuHtm3bomXLlnByckJkZCRO\nnz5NqwNBJ7Udj9WrV8Pd3V3SQ+KxbNkynizS+/fvMXnyZDAYDMyZM0csEk3NrUE/O75UUV1dLRWh\nOnTx23GjkZSUFPTs2ZPydisrK+Hq6orBgwc3edQnrnT82iKtvXr1QpcuXSSSBt8YJEnC1NQUHTp0\ngJeXl1jFWOnmzZs32L17N4KDg2FlZQV5eXl07doVs2fPxp49e0AQBJSUlBAYGEiZuHJT8T2S5tix\nY7C0tJSqHa41a9Zg0KBBkh5GPSorK+Hm5oaBAwdSEjJQU1ODzZs3Q1tbG/379wdBEFixYgU8PDyg\npqYGdXV1eHp6YtWqVbh169Yv9Rxyj/rU1dUF1jqjk+LiYigqKmLChAn1xJXFQVNrEPeoWVChdH7Y\ntWuXVITq0MVvx41GuFvVP8dAUAE3uL6pSVfcOkrV1dWIjIzEn3/+CVdXV6kpi/T9+3e0adMGampq\nMhMoLiwlJSU4evQoevfujb///hsEQcDIyAjjx4/H9u3bUVBQQIlTs3///gbjeyRNz549sWPHDkkP\now5lZWVgMpl49OiRpIfCo6KiAi4uLhg8eDAlu88lJSXIzMzE/Pnz0bNnT/zzzz8gCAL6+vqIi4uj\nzO6kmTlz5uCvv/6Smt3VkpISLFy4EP/++y/Mzc2brUNMB42tQXS+/HFDdUSpayrt/En8hjb+/vtv\nYsqUKcTy5cspb/uff/4h9u7dS/z555/EkCFDiKqqKsr7EJS///6beP36NREeHk706tWLcHZ2JkaM\nGEE8efJEYmP6/v074erqSlhbWxMEQRC5ubkSGwvdVFdXEykpKcS4ceOIli1bEjk5OQRBEERqaiph\nampKHDlyhLC3tyc0NTUJT09PYtWqVcTt27cJNpstcF+DBw8mNmzYQPTv35+4ceMG1T+KUNy6dYt4\n8uQJMWzYMEkPpQ5ycnJEYGAgkZCQIOmhEARBEJWVlYS7uzshJydHpKWlEX///bfAbbx9+5bYs2cP\nERwcTHTs2JFQU1MjFi5cSFRXVxPTp08n3r17RxAEQQQEBBBxcXHEwoULiVevXlH9o0gNAIgzZ84Q\nYWFhhLu7O3Hx4kWJjaWyspJISEggjIyMiPz8fCIjI4N4+/Yt0bJlS4mNqTZpaWlEcHAwkZGRQXTo\n0IHy9s+fP0+Ul5cT/fv3p7xtqUHSnuOvTnFxMRgMRoOFu6mgqcBicf95f06Dr13A2s/Pj68qBlRS\nW8CYzWYjJiYGo0aNEusYxAGbzca2bdugp6eHPn361Inr+NkGuLFG27dvbzDW6NSpUwLFGtEVWCwM\nXl5eWLp0qaSH0SAfPnyAgoICZaXkhEXQBCfgRwzb/fv3ebGVurq6dWIrL1++3GB8HNf2vn79irlz\n54LBYCAoKAjv3r2j9GeSBrKysmBgYAA2m41Tp05BWVkZ586dE+sYqqurkZSUBE1NTQwcOLBOEpGP\nj0+Dskh08/P8k5KSAjU1NVozvvv374+NGzfS1r408NtxEwMzZsxASEgIbe1zSzb9nMovbsctPDwc\nEydOrPf12gWsg4ODxRJj0VDJsKKiIigoKNQrIi2rcDgc7N27F6ampnBwcMCFCxfqXcOPDdTO7nNw\ncOBl9wUHB/OV3Xfs2DEwmUyJxva8ePECioqKIpdoo5OAgABERkZKrP+ysjL06tWrWUmhiooKXLx4\nETExMejfvz8vm9nX1xcbN25Efn4+X8eeP9vex48fERISAgaDgdDQULGI5YqLQYMGYc2aNbz/nzlz\nBsrKypSUbGqO2jHGTk5ODb5E5eTk1JNFEge1bSA5OZl2SaEHDx5ItGKFuPjtuImB5hT8qYBbJL13\n7948xXNxOm7cNPgnT540es2HDx/qFLCmK6vp27dvsLOzQ2BgYL3M1uDgYISGhtLSr7ggSRLHjx+H\nlZUVrKyscOLEiUYXUmFsoKKiAllZWViyZAlPT0tPTw8jR45EUlISHjx4UO/3yhXPvHTpklA/k6iE\nhIRg+vTpEumbX/Lz88FisYSuhysK379/R8+ePRsU8f706RMOHTqEmTNnws7Oro5+4P79+4XSDwQa\nt73Xr19j/PjxUFJSQlRUlERqyVLJo0ePwGQy61SaAP63SHpmZiYt/ZIkiQMHDqBdu3bo0qVLszt8\nTk5OPFkkccG1gS1btkBDQ4N2Ee+xY8di4cKFtPYhDfx23MSEj48PlixZQmsfNTU18PHxgaOjI8rK\nysTquCUmJmLw4MF8XVtbRyg6OppSGYCvX7+iU6dOmDhxYoPOTEFBARgMBoqLiynrU5xcuHABDg4O\nMDU1xb59+wTScRMWDoeDvLw8noK9gYEBT8E+NjaWp2CfmZkJJpPZ4M4fnXz9+hWKiooSCb4WFDc3\nN6xfv16sfXLL5vn6+qKmpgZPnjzB1q1b4efnx6vY0adPH0ordgDN297Tp0/h4+MDFouFZcuWScSh\npYLAwEBEREQ0+L2LFy+CyWTi5MmTlPVHkiQyMjJgY2OD9u3b4+jRo3ztgJ44cQIWFhZiTRIhCAKb\nNm2CpqYm7WXzuHXCf6Wd3Mb47biJCXFtVbPZbIwePRo9evQQqxyInp6ewKrXXOVuFRUVJCQkiLy9\n/eXLF1hbWyM4OLjJycnT0xPx8fEi9SVubty4AWdnZ+jp6SE5OZnv7Fi6bIBbM3Lq1KmwtraGvLw8\nunTpgmHDhqFly5Y4dOgQLf02xJIlS+Dt7S22/kThwoULMDIyEpvGYVFRESwtLWFrawt3d3ewWCxe\njdzVq1fTViMX4N/27t+/D3d3d2hoaGDdunVSVc2kOQoLC6GgoNBk+EdWVhaYTCZf5aea49KlS+jW\nrRtMTEywe/dugeyIJEmYmZnRtgPYEARBQEtLSyyCxHPmzEFQUBDt/UgDvx03MeLk5ITk5GTa+2Gz\n2RgzZgwIghCLqOXevXvRpUsXoe+/e/cuBgwYAE1NTb4LWP9MUVERrKysEBIS0uwb5fXr16GtrS0T\nIrwPHjyAu7s71NXVsXbtWoEXNXE576WlpThz5gyioqJgbW2NP/74A9ra2ggICMC2bdvw9OlTWt70\nq6qqoK6uLpWacg1BkiRsbGxoc2yLi4tx8uRJzJ07F127dsWff/4JBoOBwMBA7Ny5U6wJQoLa3vXr\n14V6OZEkkZGRCAgIaPa6K1eugMlkCi1RcevWLfTr1w86OjrYsmWL0Bp4W7duhbOzs1D3CsqaNWtA\nEASePn1Ke1+lpaVQVlYWS1/SwG/HTYycPHkS5ubmYtmq5nA4IAgC9vb2tMaQkCSJTp064cCBAyK3\ndeXKFfTq1QsGBgbNFrCuzefPn9G+fXvMmDGD799tt27dsGvXLlGGSytUHSNJKnH89OnTUFBQQFBQ\nEIYNGwYNDQ2oqqpiyJAhSEhIwI0bNyhxnJOTk9GrVy8KRiw+du/eDQcHB0raevXqFVJTUxEUFARL\nS0u0aNEC3bt3x/Tp09GmTRuMHTtWYhVMhLW98+fPw97eHm3btuUrHEBSlJeXg8ViIT8/n6/rr127\nBhaLhfT0dL77yMvL4wkYr169WujqFlwqKyuhrq5Ou8ZmYmIidHR0xDb/rFq1CkOGDBFLX9LAb8dN\njHC3qjMyMsTSH0EQCAwMhJ2dHW0xXZcuXYKhoSGlb8fcAtZmZmY4ePBgkxN3YWEhLCwsMGvWLIEm\n+MOHD8PKykrqFoU3b97UCdwW9e8mScWfS5cu8eJ7SJLEixcvkJKSgsDAQJibm6NFixZwdHTEvHnz\nkJGRIfDPSpIkzM3NceLECZp+AnqoqamBrq4urly5ItB9bDYbd+/exZo1azBixAhoa2uDyWRi0KBB\nWLZsGa5evYqqqipenOekSZMkat+i2B43AadDhw7o2LFjkwk4kmL9+vVwc3MT6J4bN26AxWI1+6Jb\nUFCA0aNHg8lkYsmSJfUSH0QhNjaWVlmkhIQE/H/2zjyu5vT9/++Z+X5/nxklddb2RZsoESWkUig1\naZTIEhWKZClColCIZFdjX7Pv2cm+ZwuFkTAMirJU2s55v35/+J4+Lac6y/t9zmmc5+PRYx7TOee+\nr5x7ud73fV3Xy8jICC9evJDJ+lNVVQUjIyOx51NzRum4yZjNmzejd+/eMumLIAiQJImwsDB06dKF\nllIJ3t7eSElJobzdmgLWtra2OH36dL2FOz8/H5aWloiJiRF7Uefz+TA3N6/WV5U3BQUFiIyMpLxU\ngrxLNV69ehVsNluoZm9RURGOHTuGGTNmwNHRESoqKujQoQPCw8Oxa9euJsu2nDp1CpaoWkCdAAAg\nAElEQVSWlgq3oYvC8uXLMWDAgEbfU1paigsXLiAhIQHu7u5QV1eHmZkZgoODsWHDBjx9+rTe3y6I\n85w4caLc/12oSozZu3cv2rRpgx49euDSpUsUWCY9fD4fpqamEiXi3LlzB1wuF/v27av32j///IOw\nsDAwGAzExsbSsmYXFRVBQ0ODlrJIixcvRuvWravrlspi/dmzZw+6d+9Oez+KhNJxkzGCmBxZiHQL\nJg1JkpgwYQJsbW0pLUny5MkToWnwVCIQsDYzM4OTk1O1nMz79+/Rtm1bxMbGSrxBrV27Fh4eHlSa\nKzZ0FyeVt+MGiB7fU1FRgevXryMpKQne3t5gsVgwMDDA0KFDkZqaigcPHtS69uvduzc2bdpEs/X0\nUFxcDCaTWSsmJz8/HwcOHMDkyZPRpUsXtGjRAvb29pg8eTIOHjyI/Pz8Rtv8+PEjOnbsiMjISLk7\nbQC1Y09QZNrQ0BBubm5yl1o7dOgQbG1tJf53vnfvHrhcLnbv3g3g+3cXFRUFBoOByZMn016oeeLE\niZSXRVq4cCFMTExqZXfTvf4IYkYPHjxIaz+KhvxX9R+QxMREBAQE0N5PzUlDkiQiIiLQqVMnFBYW\nUtJ+aGgoYmNjKWmrKWoKWLu6usLQ0BBz5syRqs2ysjJwuVxaC0I2RElJCRYsWAA2m43AwEC8ePGC\nln4UwXED/hvfI05QPkmSePLkCdavX4+goCCYmppCXV0dHh4eCA8PB4PBoLU2Ip2QJInQ0FC4uLgg\nKCgIZmZmaNWqFfr27YuEhARcuHBBrAeiDx8+wNraGlFRUQrhtAH0jL2KigqsXr0a2tra8PHxQXZ2\nNuV9iIKDg0O10yUpWVlZ4HK58PX1BZPJxNixY/HmzRuKLGycFy9eUFoWaf78+TA1Na1nP93rz6VL\nl2BqatosElmoRDFW9R8MQd0puiv4C5M7mjJlCjp06CD1VVx+fj7U1dWbPAWgmufPn4PNZkNVVRV+\nfn4iBwY3xNy5cxEcHEyRdU1TXl6OFStWQEtLCwMHDpTa/qZQFMcNED2+pzHev3+PAwcOwMLCArq6\nutWnUlOmTMGhQ4fkLinVEILTxMWLF+OPP/4Am82Gjo4O/t//+39YtGgRsrKyJN58CgoKYGVlhejo\naIVx2gB6x15paSmSkpLAZrMREBCA58+f09ZXXa5fvw5DQ0OJMzuB7/YvWrQIDAYDv/32G5KTkym0\nUDQGDRpESVmkuXPnwtzcXKjCCt3rT79+/ZCamkprH4qI4qzqPxiTJk1CVFQUrX0ImzQkSWLatGmw\ntrau1hSVhLi4OISEhEhjnti8fv0aJiYmWLBgQfWJFYvFkurE6sOHD1BXV5e4OryoCE4MDQwM4Onp\nKbPyFYrkuAH/je/Zu3evxG28fv0aGhoaKCoqQmlpKc6fP4/4+Hi4u7ujVatWMDc3R3BwMDZu3Ii/\n/vpLLs7Mp0+fcPz4ccyYMQNOTk614vd27txZfZ0UFBSEhIQEift5//492rVrh5kzZyqU0wbIZux9\n+fIFs2fPBpPJxJgxY2RyYjVgwAAsX75cos/WPDH09fVFdnY2srOzoa2tjc2bN1NsaeNkZmZKXRZp\n9uzZsLCwaHD9pHMMPHnyBBwOh9ZQHUVFsVb1Hwiqj6qF0dCkIUkSMTExsLKykujErLS0FGw2m/ZK\n2DX5+++/YWxsXE8omYoYsbCwMMTExFBlai3qxujJWs9T0Rw3ALh//z64XC527dol0eejoqIwceJE\noa/xeDzcv38fq1evxuDBg6GnpwcOh4P+/fsjOTm5OvOSSgQZs2lpaRg7dmx1xmzPnj0xa9asRjNm\nHz16BE1NTYmKT7979w4WFhaIi4tTOKcNkO3YqxsjJs1DaWPk5uaCyWSKXR+zZoyeu7t7vRi9x48f\nQ1tbGxs2bKDS3CZxcnKSqCwSSZKYNWsW2rVr12jxYTrHQEhICOLi4mhrX5FRvFX9B8Lf35/WI/LG\nJg1JkoiNjUXbtm3FFn1PTU1Fv379pDVPZF6+fInWrVs3eqwvyMrU0NAQOyvz2bNnYLFYlEn9AP/N\nirW2tm4wK1YWKKLjBnyP79HU1ERaWppYn/vy5QsYDIZYJ6yvXr3Cjh07EBYWVl3rzNnZGTExMThx\n4oTYmXs8Hg/37t3DypUr4e/vD11d3epYpSVLluDWrVtinWL07dsX69evF8uGt2/fok2bNpg7d65Y\nn5Ml8hh7NbMyZ82aRXlWZnh4OKKjo0V+vzhZsU+ePIGuri7WrVtHhakikZ6eLnZZJJIkER0dLdKD\nP11jQF6hOoqCYq7qPwiZmZnQ09OjrYK/KJOmqaPuuvB4PJiamsosLT8vLw+GhoZYtmyZSO+vKWA9\ne/ZskU80fXx8sHLlSmlMrebcuXPVdegOHTrUbGtp0c3Dhw+hpaWFbdu2ifyZJUuWYNCgQVL1+/nz\nZ5w4cQIzZ86Es7MzVFRU0L59e4SFhWHHjh311AVKSkpw7tw5zJ07F3369IGamhratGmDUaNGYfPm\nzXj27JlU33FGRgYsLCxELpT75s0bmJmZYd68eRL3KQvkOfZevHiBwMBAsNlsJCYmUnKd9vHjR2ho\naIh0qk+SJI4dO1Zdh05Qy7Ap/vrrL+jp6clMz5bP56NNmzYil0UiSRJTp04VOdSGrjEQGxuL0NBQ\nWtpuDijuqv6D4OzsLPapg6iIOmni4+MbDC6ty8GDB2FnZycTZ+T58+cwMDDAqlWrxP5sTeWBpKSk\nJpUHrl27BiMjI6myk27cuAFXV1eYmJggLS1NITKdFNlxAyBWfE9lZSX09fWRmZlJqQ2VlZW4efMm\nkpOT0b9/f7BYLLBYLJibm0NfXx+//vorunbtiqioKBw+fJjyaziSJNGxY0ccPXq0yfcK4jwTExMp\ntYEOFGHs5eTkwM/PD1paWli5cqVUygMJCQkICgpq8n0C5QcLCwvs379f7LUyNzcX+vr6Eq17krBu\n3TqRyiKRJInJkyejY8eOIt9o0DEG5BGqo2jIf2b94Bw9ehQdO3akxRESZ9IsWLBAaDp3Xbp37449\ne/ZIa1qTPHv2DHp6elJnDAkErEXR+uzWrZtEQfNZWVnw8vKSSmuVLhRh82yKx48fQ0dHp8n4nh07\ndsDJyYnSvkmSRE5ODtatW4cRI0bA2NgY6urqcHZ2hq+vLzw9PatLdbi5uSE+Ph7nz5+nPCB6+/bt\ncHZ2bvQ9r169grGxMRYvXkxp33ShSGPv7t278PDwkFjrs6ysDJqamo2WDqqptbp161apHtwENw0r\nVqyQuA1REaUsEkmSmDRpktjlpOgYAykpKfD29qa83eaE4sysHxQ+nw8LCwtkZGRQ3ra4k2bRokUw\nNjauVUCxJoJTKWnS4EXh6dOn0NXVxZo1ayhrUxQB6wMHDoh1mvj06VP4+/uDy+Vi6dKlEgWY040i\nbZ6NIfjO165dK/R1kiRhY2MjsUi3gPLycly9ehULFy5Ev379wGQyYWRkhGHDhuHPP//Eo0ePhF5Z\nFhQU4NChQ5gyZQrs7e3RokUL2NnZITIyEvv37xc7TrQulZWV0NPTa/A08eXLlzAyMqKkfIOsUMSx\nd+XKFTg5OcHc3By7d+8W+Xp6/fr16Nu3r9DXHj16hP79+0NHRwepqamUJb+8ePFCZt95fHx8g2WR\nSJLE+PHjYWtri6KiIrHapXoM8Hg8mJiY4PLly5S229xQvJn1A9LYoiANkkya5ORktG7dul6cDwD4\n+vrS/gQoOH0RN1hbVC5evAgHBwdYWFhg7969tRZuUReFV69eYeTIkWCxWJg3b57YGWayRBE3z4Zo\n7JT13LlzaNOmjdiC6UVFRTh69CimT58OBwcHqKiowMbGBhMmTMDu3bslLh/x7ds3XLx4EfPmzYOH\nhwfU1dVhamqKwMBArF+/Hk+ePBH7FH3x4sXw9/ev93vB6YukJSjkhaKOPZIkcfr0aXTu3BnW1tY4\nevRoo99VQw/Xz549w9ChQ8HhcJCcnNxkOIYkvHr1Cq1bt0ZSUhLlbdekofg9Pp8vlWQi1WPgwIED\n6NKli0JmUcsSxZxZPxiCY/iHDx9S2q6kk2bZsmXVIsECcnNzwWKxaHVScnJyoK2tTbuMUU0Baxsb\nGxw/frx6IWjsGP79+/eYMGECGAwGZsyYIfbTpzxQ1M2zIRqK7/Hw8Ggy244kSeTl5WHr1q0IDQ1F\nu3bt0LJlS7i6uiIuLg5nzpzB169fabGbz+fj4cOHSE1NxdChQ2FoaAgWiwVvb28kJSXh2rVrTZ7E\nCMuYlXW8E5Uo+tgjSRIHDx5Eu3bt0LVr1wYD9OuGs7x+/RohISFgMpmYO3cubWNKwN9//y2TuMZx\n48ZhxowZ1f/P5/MRGhqKrl27Sly2iuoxIGk4y78NxZ5ZPxCiBr6KgzSTZuXKlTAwMKiuSB4eHl5r\nUlPNo0ePoKWlha1bt9LWR11qpuo7ODjg4sWLQgNfi4qKEB0dDQaDgYkTJ0p9LSZLFH3zFEbdE6ZH\njx6By+XWu4quqqrCnTt3sHz5cvj5+UFbWxtaWlrw8/PDsmXLcPv2bdqv9Rvj9evX2LVrF8aPH4+O\nHTtCRUUFjo6OiI6OxrFjx4Q6/lOmTMGkSZMA/PcEUlYZhlTTXMYej8fD9u3bYWxsjF69euHmzZu1\nXhckkBUUFCAiIgIaGhqYNm2a1Ooz4iCLTGLBw3lJSQn4fD5GjRoFBwcHqRxTKscAFQlk/xaax8z6\nARAn1VxUpJ00KSkp1Vl8VNtWkwcPHkhU04sq6gpYjxo1CqGhoSguLkZCQgJYLBZGjRol9PpY0Wku\nm2ddasb3BAcHIz4+HsXFxThz5gxmz56NXr16oWXLlmjbti1CQkKwdetW5OXlKfQVypcvX3D69GnE\nxsbCxcUFqqqqsLS0xJgxY7Bt2za8ePECr169goaGBm7dutVozF9zoLmNvcrKSqxZswa6urrw9vbG\ngwcPkJmZCR0dneoHt/DwcNrWwaZ4+/YtzM3Naa3d5+vri+XLlyMoKAiOjo5S37BQOQZ8fX0pK9nU\n3GleM+tfDtWnWlRMmjVr1qBVq1bw9fWlwKL63L9/H5qamhJX0aeSiooKpKSkgMvl4ueff4aGhgYG\nDx6Mv/76S96mSUxz2zxrcuvWLbDZbPzyyy+wtraGiooKHBwcMH36dKSnp4uV3aaIVFZWIjMzE0uX\nLsWAAQOgqakJHR0daGtr49dff0VsbGyzPl1ormOvrKwMS5cuBYfDgbq6On777TcEBQVJLKtHJXSr\nZVy5cgWqqqpwcnKipCA5VWOg5mmgEuB/CCUKw6RJkwh7e3siOjqaUFVVlbc5BEEQxPDhw4moqCji\nypUrxNOnTwlzc3PK2r537x7Rt29fYuXKlYSfnx9l7UrKTz/9RPzyyy/EL7/8QqipqRFlZWXEL7/8\nQvz888/yNu1fD0mSxOPHj4mrV68SV65cIa5cuUJ8+fKFUFNTI4qLi4lu3boRN2/eJP7zn//I21TK\n+N///V+ic+fOROfOnYlJkyYRAIhTp04RAwcOJEiSJPbs2UMsW7aM6NKlC+Hg4EA4ODgQXbp0IVRU\nVORt+r+an376ifj5558JPp9PFBcXE6qqqtXrgrzR1NQkLly4QLi4uBB8Pp+YO3cu8dNPP1HSNo/H\nI1JTU4lffvmFGD16tEKNs6VLlxKhoaEKZZM8Ue5ICoSxsTHh7OxMbNq0Sd6mVJOWlkY4ODgQiYmJ\nhKurK/H48WNK2r1z5w7h7u5OpKSkyN1p4/P5RFpaGmFhYUHs3buXOHDgAHH9+nVCRUWFMDAwILp0\n6UKMGTOG+Oeff+Rq57+J8vJy4sqVK0RiYiLh5eVFsNlswtvbm7h69SrRo0cP4tixY8SLFy+IkpIS\n4uzZs0RGRgaxePFieZtNK9nZ2URwcDCRkpJCODo6EtHR0UReXh4xfvx4orS0lIiNjSU4HA5ha2tL\nREREEPv27SPevXsnb7P/NfB4PGLDhg2EmZkZcfr0acLd3Z2IiIgg8vLyCDabTXTo0IGYNGkSkZ+f\nL1c7ORwOcf78eeLw4cNETEwMAUDqNnk8HhEQEEAUFBQQa9asIVasWEFJu1RQWFhI7NixgwgPD5e3\nKYqDnE/8lNThxo0blNVKk/brFaTBC7Kttm7dCm1t7UYLNYrCrVu3wOFwcOjQIanakRZBVpmlpaXQ\nrDIvLy+kpqbWErCOjIxEQUGBnCwWH0WZ4h8/fsSRI0cwdepUdOvWDSoqKujcuTMmTZqEvXv3Co0b\nWrFiRfUVvUCbc86cObI2XSYItFsFgt8nT56ElZVVveuwsrIyXL58GYmJifj999+hoaGB1q1bY/jw\n4Vi7di1ycnLELplCF4oy9pqCz+dj586dMDMzg7OzM65evYpPnz5BQ0OjVk3Ld+/eKVRW+YcPH2Bt\nbY2oqCiprk0rKyvh5+cHNzc3fPv2rVrWkIpaaVSMgfj4eIwcOVLqdv5NNI+Z9YPh4OBAiTqBtJPm\n6NGj9QSI09LSoKmpiQcPHkjU5o0bN8Bms3HkyBGpbJMGQR0nW1vbRus4Xbx4EaamptVxRm/fvsW4\nceNoE7CmA3lsniRJIjc3F5s3b8bo0aNhYWEBNTU19OnTB3PmzEFGRkaTQc9VVVUwMjLCtWvXqn/3\n7t07tG3bFrGxsQqdhCAu9+7dA5fLxe7du6t/R5IkLC0tcerUqUY/y+fzkZ2djTVr1iAgIACtW7cG\ng8GAl5cXEhMTceXKFalknqRB0R03kiRx5MgRtG/fHnZ2djhz5kz1uFq4cCGGDRsm9HOKVMexsLAQ\nHTt2RGRkpERzorKyEr6+vvDw8KiVtZ2amkqJOoG0Y0Cg6pCdnS21Lf8mFHtm/aAcOnQItra2Um9O\n0k4aZ2fn6hOAmuzatQuampq4f/++WO1dvXoVbDYbx44dk8ouaRBUTjczM2uycjpJkrC1tcXBgwdr\n/V4gYM1isbBgwQKFDpiVxeZZM8je19e3Osh+0KBBWLlyJe7evSv2CfKePXvQrVu3er/Pz8+HpaUl\nYmJi/hXO2507d8DlcoXWptq8eTN69+4tdpv//PMP9uzZg4kTJ6JTp05QUVFB9+7dMW3aNJkmdSiy\n45aRkYEuXbrA0tIShw8frjWWKioqoKOjg3v37jXahqIopxQVFaFTp06YOHGiWHOioqICf/zxB7y8\nvOo596WlpeBwOFLrgUo7BtatWwdPT0+p2vg3orgz6weGz+fD1NQUly5dkqodaSZNZmYm9PX1G9Td\n3LNnD7hcLu7evStSe5cvXwabzcaJEycktkkaBFqF+vr6YmkV7t69G927dxf6Wk0B6xUrVsjtZKMx\n6Ng8v3z5glOnTtUqa2FlZYUxY8Zg+/btePnypVROlcBhPnDggNDXCwoK0L59e0yfPr1ZO2+ZmZng\ncDgN/p0VFRXQ1tYW+wGpLsXFxTh79qzQMipbtmzB8+fP5a6VLCuuX78OFxcXmJiYYMeOHUIf3LZs\n2YJevXqJ3Ob9+/fh5eUFPT09uWkVf/r0Cba2tggPDxfpuywvL4eXlxe8vb0bLAwdFxeH0NBQqeyS\nZgzw+Xy0adMG58+fl8qGfyOKN7OUAPh+VN2vXz+p2pBm0vj7+yM5ObnR9+zfvx8cDge3b99u9H0X\nL14Em83G6dOnJbZHUh4/flztXK1cuVJs56qqqgqGhoa1ruzqUlPAesOGDXIt+loXKjZPQSHZ8PBw\ndOjQobqQ7IwZMxosJCsNly5dgomJSaOlMD58+IAOHTpIHd8jL27evAkOh4PDhw83+r7ExEQEBARQ\n2nfNwsUDBw6sLlw8YMAASgsXK5LjlpWVVe1crVu3rkHniiRJWFlZ4eTJk2L3cf36dbi6usLExARp\naWkyjzX8/Pkz7O3tMXbs2Eb7Lisrg6enJ3x8fBpV88jPz4eGhgby8/MltkmaMZCenl4vVEfJdxRn\nZimpBRVH1ZJOmhcvXoDBYIgkc3Lw4EFwOBzcunVL6Ovnz58Hi8XC2bNnJbJFUgTXmWw2G4mJiVJd\nZy5fvlykOnY1r2F37dqlEEHi4o4BPp+PBw8eICUlBUOHDoWBgUEt6abr169TJqLdEP369UNKSkqT\n7yssLISNjQ0iIiKa1eJ+/fp1sNlspKenN/leQZD869evabNHIBW2bds2oVJhp0+flqh6viI4boLr\nTE1NTSxbtqzJ68xTp07B0tJSqvGUkZEBe3t7WFlZ4dChQzIdm1++fEG3bt0QEhIidP0pKyuDu7s7\n/Pz8RDoZDA0NRVxcnMT2SDMGnJychIbqKFE6bgpNXFwcQkJCJP68pJNm0qRJiIqKEvn9R44cAYfD\nwY0bN2r9/uzZs2CxWA1qANLB27dvERYWRmkCQXFxMZhMJnJzc5t8b10B6/T0dLk6FU2NgZpi6X37\n9q0WSw8KCpJYLF0anjx5AjabjdLSUpHeX1RUhM6dO4sd3yMvJInzFHc+UkFhYSGOHj2K6dOno0eP\nHlBRUYGNjQ3Gjx+P3bt3482bN022IU/HTdIEgt69e2Pz5s1S90+SJNLT06sTH06fPi2z8fn161c4\nODhg5MiRtZy3b9++oU+fPhg0aJDIJ6pPnjwBh8MReT7WRdIxcOvWrUZDdX50lI6bApOfnw91dXWJ\nj6olmTRFRUUSPeEfO3YMbDa7+krx9OnTYLPZuHjxotg2SALdJTuio6Mxbtw4kd9fU8Da3t5eps5r\nTeqOgYKCAhw8eBBTpkyBvb09WrRoATs7O0RGRuLAgQNy12ENCQlBbGysWJ/59OkT7OzsMG7cOIV2\n3gRxnuJew4lzAk4X5eXluHbtGhYtWoR+/fqByWTC0NAQw4YNw59//omHDx/WO+GRh+P27t07jB8/\nXqKSHffv34e2tjalJ8p8Ph+7du2CqalpdakRWVBcXAxHR0cEBgaCx+OhtLQUrq6uGDJkiNjX4N7e\n3khNTZXIDknHwKBBg7BkyRKJPvsjoHTcFJzQ0FCxNzIBkkwaaWJqTpw4ATabjcWLF4PNZlNSB6gp\nvnz5gtmzZ4PJZGLMmDEinQRIwtu3b6Guri62sHRNAWtXV9d6p5J0QpIkCILAxo0bERwcDHNzc7Rq\n1Qru7u6Ij4/H+fPnJX6SpgNpHlQE8T1jxoxRiCvquly4cAFsNhtnzpyR6POixJzKEpIk8fjxY6xb\ntw6BgYEwMTGBhoYGPD09MX/+fFy6dEmmjlthYSGmT58OBoOBiRMnSvQAEhAQgMTERBqs+x5XuGHD\nBujr68PT07PJjFUqKCkpQc+ePTF48GA4OzsjICBAIgm1S5cu1SqLJA6SjAHBg4o04vb/dpSOm4Ij\n7tVRTcSdNFRkscXHx+Onn37C6tWrJW5DFL59+4akpCRwOBwEBATg+fPntPYHAEFBQYiPj5fos5WV\nlVi7di10dXXRr18/ZGVlUWzd9+/vxo0bSE5ORv/+/cHhcEAQBAYPHozVq1fj/v37Cq19GRsbK1Vo\ngCC+Z/To0QrlvJ07dw4sFgsZGRkSt5GZmQk9PT2Fvjp69+4d9u/fj4iICNja2oIgCHTt2hVRUVE4\nfPgwPnz4QHmfX79+RXx8PJhMJkaPHl2rYK44vH79GhoaGvj06RPFFtamvLwcK1asgKamJgYOHCh1\nuY2mEDwMtW7dWuKsd5IkYWdnV68skihI4rhNnDgRU6dOFftzPxJKx60Z4O3tLVKwdl3EnTSS1o0S\nkJ6eDjabjRUrVoDNZtOSxi0QgtfW1oaPj4/UKg7i8OjRI3C5XKnqNQkErLlcrtQC9p8/f8aJEycQ\nExMDZ2dnqKqqwtraGmFhYdixYwdevXqlEAHiolBaWgo2my31RiaI7wkODlYI5+3s2bNgs9m4cOGC\n1G05OzsjLS2NAqtkA0EQOHfuHObOnQs3NzeoqamhTZs2GDVqFDZt2oRnz55JfLVdVlaGJUuWgMvl\nYsiQIVLNIwCIiorCpEmTpGpDHEpKSrBgwQKwWCwEBgbSImAvmAsjRoxA79694e/vL3G28J49exos\ni9QY4q4/glAdum5O/i00j1X9B+fy5ctNlkcQhjiTRtRK7Q1x6NAhcDgc3Lx5E8D3UwY2my3VKUNN\neDweNm/eDCMjI7i5uSEzM5OSdsWlb9++WLdundTtFBcXIyEhAUwmEyNHjsSrV6+a/MyrV6+wY8cO\nhIWFoX379lBRUYGzszNmzpyJkydPCk3EaC6OW0pKitTlbwQI4ntGjBgh1xPGU6dOgc1mS12PUcDR\no0fRsWNHhY7jq0ndscfj8XDv3j2sWrUK/v7+0NXVBZfLhY+PD5YsWYKbN282eaJYWVmJNWvWQFdX\nF97e3hIruNTky5cvYDAYtDhPTfHp0yfMnDkTDAYD48aNEyr9Jgl1s0vFzSatizAlE1EQd/1ZsGAB\nhg8fLtZnfkSax6r+g0OSJLp06dJgoc6GEGfSNKSNKAqCem51nSlBXI809dv4fD727t0LCwsLODg4\nyCzZoSEyMjLQpk0byk5zCgsLER0dDQaDgQkTJlTH5vB4PNy/fx+rVq3C4MGDoaenBw6HAx8fHyQn\nJ4u0yQHNw3Hj8XgwMTGhzMEB/hvfI2lcj7QI4j2vXLlCWZsC7WCqHoboRpSx9+rVK6SlpWHs2LFo\n3749VFVV0bNnz+qHEUFCRs1Y0V69elEaK5qcnAx/f3/K2pOEgoICREZGgsFgYOrUqWLH0takoXpu\nZWVl8PDwaLJ+W0PU1A4WFXHWn/LycmhpadESRvJvQ/FXdSUAgL179wqVAGoMcSZNr169sGXLFnHN\nwt69e8HlcnHnzh2hr0uaSUeSJI4fPw4bGxvY2NjgxIkTCnHSQJIkOnbsKFINLnHIy8uDj48Pfvvt\nNxgZGUFNTQ3m5uYYOXIkNm3ahL/++kuiv785OG4HDhyAnZ0d5d9vaWkpevXqJVEmnTQcPXq0VoY1\nlaxfvx59+/alvF06kGTsffr0CcePH0dMTAycnJygoqICIyMjMBgMmJmZUaLhXP5kSMYAACAASURB\nVJPKykro6enJ7QS/Lq9fv0ZoaCiYTCbmzJkjdoB+UxnWoigmNERxcTFYLJZIZZEEiDMGNm3ahD59\n+ohl04+K4q/qSgB8f+I0MjISK51c1Elz79496OjoiD2Rd+3aBS6X22Qyg6B21fHjx0Vq9+LFi3Bw\ncICFhQX27dunEA5bTdLS0uDk5CRVG+/fv8f+/fsRGRkJOzs7tGjRAvb29ggJCUGvXr3AZDKRkJAg\ntYB1c3DcunXrRvmGLECS2lXScOTIEbDZbNqyh8vKyqCpqYmHDx/S0j6VSDP2SJLEqVOn0KlTJ5ia\nmiI4OBh//PEH2Gw29PX1MWTIEKxevRpZWVlSnaimpaXB2dlZ4s/TRW5uLoYNGwYOh4PFixfj27dv\nTX5G1JqGjWmUNsWMGTPEKosk6hggSRLt2rWTi7pOc0TxV3Ul1axcuRI+Pj4iv1/USTNs2DAsXLhQ\nLFvS0tKgqakp8rH29evXweFwGj2pyszMRJ8+fWBkZIQtW7YobAak4Cm9IbWIupAkiSdPnmD9+vUI\nDAyEqakp1NXV4eHhgXnz5uHixYv1FmaqBKwV3XG7evUqjIyMaHWqBPE9AwYMoDUrsykVEapISEhA\nUFAQrX1QgaRj7/Lly3B0dIS5uTl2795d67qPJEk8ffoUGzZsQHBwMMzMzKpL3CQkJODChQsiZ+AL\nTs+PHj0qkZ2y4OHDh+jfvz90dHSQkpLS4MO1QEUkMjJSpAfdyspK+Pj4wMPDQ6y15e3bt9DQ0BD5\nKlfUMXDixAm0b99e4R7SFRXFXtWV1KKkpAQsFgvPnj0T6f2iTJq///5b7DT4bdu2QUtLS+yn/ob0\nGR89elS9OKWmptIuqUQFycnJGDRokNDXKioqcO3aNSQlJcHb2xssFguGhoYYOnQoUlNThRYrbYis\nrCz069cPurq6EglYK7rj5uPjgxUrVtDeT3l5uUj6jJKyb98+kXR7qeDjx4/Q0NCgLJCdLsQde3fu\n3EHfvn1hYGCAjRs3iuzM5+fn4+DBg5g8eTK6dOkCFRUVdOnSBZMnT8aBAwcarAuYkZEBCwsLhcg+\nbopbt241+FArqW5vZWUl/Pz84O7uLpbzFhwcLHJZJFHHgKurK7Zu3SqyDT86ir2qK6lHTEwMwsLC\nRHqvKJNmypQpiIiIELn/zZs3Q1tbG9nZ2SJ/piaZmZngcDg4cOCARNcBikLNTLSioiIcO3YM0dHR\ncHR0hIqKCjp27Ijx48dj165dlOhMCgSsjY2NxRKwVmTH7dmzZ2AymVJfB4uKNPE9jbFnzx5wuVzc\nvXuXsjabIjw8HNHR0TLrTxJEHXs5OTkYMGAAtLS0sGrVKonrjQkoLS3FhQsXkJCQgL59+6JVq1Yw\nMzNDUFAQNmzYgKdPn4IkSfTt2xfr16+Xqi9ZIwgjadu2Lfbt24f8/HxYWVlh+vTpEp1WVVVVwd/f\nH7179xZ5/RWnLJIoY+Du3bsSher8yCjuqq5EKO/evYO6urpIxSybmjSfP38Gg8HAy5cvRep7w4YN\n0NHRwePHj0V6f0McP34cv/32G1RVVTFnzhy5SvmIC0mSePHiBbZt2wZra2swmUyoqqrCxcUFsbGx\nOH36NK1/j0DA2tLSEgcPHmxysVZkxy0sLAwzZsyQaZ+C+J7ff/9dagcBAHbu3AlNTU2pilZLQm5u\nrkydXkloauzl5eVhxIgRYLPZWLhwIW0qHjweD1lZWUhJScGQIUOgr68PBoOB//znP1iwYAGuX7/e\nrJwGQeKWlZUVfv31VwwePFiqU8OqqioMGTIErq6uIn8HHh4eIpVFEmX9GTp0KBYtWiRSv0q+o7ir\nupIGGTlyJObOndvk+5qaNIsXL8bgwYNF6lNQ9f/p06civV8YBQUFiIiIAIPBQGBgIDgcDnbv3i1x\ne7KAx+Ph7t27WLFiBQYOHAgdHR1oampiwIABiIuLg5qamsRaspJSU8Da1ta2UQFrRXXcPnz4AHV1\ndblc91VWVsLX11fs+J66bN++HVpaWpTUEpOEAQMGYPny5XLpWxQaGnv//PMPwsLCwGAwEBsbK7T+\nIN34+flh4MCBGDduHDp06AAVFRU4OTlhxowZOH78OO0KCtLy7t07WFhYwM/PD23atIGDg4NU5XR4\nPB4CAgLg7OyMkpKSJt9/7tw5kcoiNbX+/P3332AwGHIZA80ZxVzVlTRKdna2SEfVjU2ayspK6Orq\nihSTk5qaCj09PZFj6+rSUJHJrKwsaGpqYseOHRK1SwfFxcU4e/Ys5syZg969e0NNTQ0WFhYYPXo0\ntmzZgtzc3FpOUkBAABYsWCAXWwUC1mZmZnBychJaM0xRHbe5c+ciODhYbv3XjO+R5Ip+69at0NLS\nkqlyR11u3LgBQ0NDmZY6EYe6Y+/jx4+IiooCg8HA5MmTUVBQIBe7hAXYf/78GSdPnsSsWbPQs2dP\nqKqqwsrKCmPHjkVaWhpevnypMIHzb9++RZs2bTBnzhwA/y1ObmhoCDc3N4njLHk8HgIDA+Ho6Njk\nSS5JkrCxsWmyLFJT68/kyZMRGRkptq0/Ooq5qitpEk9PT6xdu7bR9zQ2abZv346ePXs22c+qVaug\nr68vVu0eAQJZFzabjaCgIKGVyR8+fAgtLS1s27ZN7Pap4O3bt9i7dy8mTpyIzp07o0WLFujevTum\nTp2KI0eONJk9df/+fWhra8v1qqWmgLWHh0etWCtFdNzKysrA5XLl6vQAteN7xLmm27RpE7S1tZGT\nk0OjdaLh4OCgsKfWgrH35csXzJ49G0wmE2PHjpW7nFF0dDTCw8MbfU9lZSVu3bqFJUuWwMfHB1wu\nF7q6uvD398fKlStx7949uWS9v3nzBmZmZpg3b1691+rKAUoSh8zn8zFy5Eg4ODg0WUNux44dTZZF\namz9EYTqiKIao6Q2ireqKxGJ8+fPw9zcvNGj6oYmDUmS6NChA44dO9ZoH8uXL4ehoSHy8vLEsk0g\npKylpYWBAwc2GROXnZ0NbW1tbN68Wax+xIXP5yM7Oxtr167F8OHD0bp1a2hoaOD3339HYmIiLl++\nLNHVWe/evWm3XRRqClj7+fnh8ePHCum4rVu3Dh4eHvI2A8B3523o0KFwcXERyXlbv349dHV1aRcH\nF5VDhw7B1tZWYU6DakIQBBYtWgQOh4Phw4fj+fPn8jYJxcXFYDKZYj+IkiSJZ8+eYfPmzRg1ahTa\ntGkDNTU19OnTB3PnzsW5c+dEumKUhtevX8PExASJiYmNvq+0tBRJSUlgs9kICAgQ+9+dz+cjJCQE\nXbt2bTRet7KyEvr6+o2Wv2ls/UlKSsKQIUPEsk3JdxRvVVciEiRJolOnTjhy5EiD72lo0pw9exZt\n27Zt1OlbsmQJjIyMRE5cAGqf/Hh6eoqVZff48WPo6Ohgw4YNIn+mKcrLy3HlyhUkJibCy8sLDAYD\nrVu3RkBAANasWYPs7GxKSgGcOnUKlpaWCrN51hSwJghCLhqMDcHn89GmTRucO3dO3qZUw+PxMHz4\n8Cbje9asWQM9PT2pBc2phM/nw9TUVO5ScDWpqKjA6tWrQRAEfH19Jc5Ap4Ply5djwIABlLT14cMH\nHD58GFFRUejWrRtatGgBW1tbREREYN++fXj37h0l/QDfpcGMjY2RlJQk8mdqnnSOGTNGrJNOPp+P\nsWPHwt7evtH4syVLljRYFgloeA+qqKiArq5ug4o7ShpH6bg1Y3bu3AlHR8cGX29o0ri7uzfqICUl\nJcHY2FjkI+yasVbOzs5iqTvU5OnTp9DV1ZVYxL2wsBDp6emYNm0aunfvDhUVFXTq1AkTJ07Enj17\n8M8//0jUblOQJAkrKyuxZb3o5tOnTyAIgnIBa2lIT0+HjY2Nwji5Ang8HoKCgtCjRw+h8T0pKSnQ\n19eXOM6TTlJTU+Hl5SVvM2rFWrm7uyvcaW9VVRUMDQ1pU7X49u0bLl26hAULFsDT0xMaGhowMTHB\niBEjsG7dOuTk5Eg07l++fAkjIyMsWbJEIrvqxhaKUpEA+L6uhYeHw87OrsFkja9fv1aXRRJGQ2Ng\n27ZtcHFxEckOJfVRrJmlRCyqqqpgYGCAmzdvCn1d2KR5+PAhNDU1GyyFsGDBApiYmIhUe0yQ3Wht\nbQ1bW1ucOXNG6g352bNn0NPTw59//tlk38+fP8eWLVsQEhKCtm3bomXLlujVqxdmz56Ns2fPyrRU\nwpYtW9CrVy+Z9ScqBEFUC1hraGhILWAtLU5OTgqVjFITPp+PUaNGoXv37rXie1auXAkDAwOFuOoT\nRmlpKdhsttRleiSFz+dj7969aNOmDXr06FGd3ahojtvu3bvh4OAgs/74fD4ePXqEP//8E8OGDYOR\nkRGYTCb69euHRYsW4erVq02WpMnLy4OhoSEl2cNv377FuHHjwGAwMGvWLJEyOUmSxMSJE9GpUycU\nFhYKfc/UqVMxceJEoa8JGwMkScLa2lpkCUQl9VGsmaVEbJYuXYqBAwcKfU3YpAkMDBQa2Ap8l9Ix\nMzMT6Ui9Zj2xQ4cOUXqCkpubC319faxatar6d1VVVbh9+zaWLVtWXaxTW1sbAwcOxIoVK3Dnzh25\nZtdVVFRAR0cH9+7dk5sNwqg5BmoKWM+ePVvm9fNu3boFfX19WmWnpIXP5yM0NLQ6vmfZsmUwMjJS\nqOtmYcTFxWH06NEy7ZMkSRw7dgwdO3ZEp06dcPLkyVrrgCI5biRJwtbWFocOHZKrHW/evMHu3bsx\nYcIE2NjYQEVFBT169MD06dNx9OhRFBUVVb9X2DpIBS9evEBgYCDYbDYSExObjM0jSRKRkZHo2LGj\n0Ie+N2/eQENDo5btAoSNgTNnzqBt27YKd+renFCcmaVEIr5+/Qomkyl0Y6k7aQRp8MKenObMmYM2\nbdo0eZ1248YNuLq6wsTEBGlpabRlVj148ABcLhfu7u5wdXVFy5YtYWlpidDQUGzbtg15eXkKN/EX\nLlyIYcOGyduMWghbOGsqViQlJclMsWLQoEESX/fIEkF8j76+PgwNDcWK85QX+fn5UFdXx/v372XS\n34ULF9C9e3dYWFhg//79QueiIjluFy9ehKmpqcLJW339+hVnzpxBXFxc9TrXrl07+Pv7g8FgICEh\ngbZ1LicnB35+ftDS0sLKlSsbPf0jSRJTp06FtbW10KvW4cOHC02aEDYG3N3dsXHjRumM/8FRnJml\nRGKmTZsm9Ki67qSJjo7G+PHja/2OJEnExsaibdu2jQbTZmVlwcvLC3p6ehJpZjaF4El0/Pjx1U+i\ntra2UFdXx6hRoxo8plckPn36BA0NDfz999/yNqWaxjZPgYC1trZ2owLWVPDixQswGIwmSwwoComJ\niWjVqhWsra0VvhirgNDQUMyaNYvWPgSama1bt8bWrVsbfXBTJMfNy8uryfALRaCqqgr79+9Hq1at\n0KlTp1o3C8uXL6flZuHu3bvw8PBoUiOWJElER0fDysqqXg2+rKwsoWWR6o4BQfknKlRLfmQUZ2Yp\nkZiGjqprTpri4mKwWKxacTokSSImJgaWlpYNVv9/+vQp/P39weVysWzZMqkqzQvg8/l4+PBhdeyH\noaFhrdiPa9euVU9sSbKp5MmkSZMwZcoUeZtRjSibZ2ZmJtzc3IQKWFPFxIkTMXXqVMrbpYP58+fD\n1NQUr1+/xqRJkxqN71Eknjx5AjabTYt01KNHj9C/f3/o6OggNTVVJCdfURy3x48fg8PhNAst5LrZ\n9YJY3q1btwqN5T1z5gxlsbxXrlyBk5MTzM3NsXv3bqGnkyRJYubMmWjXrl29090+ffrUK4tUdwwE\nBgZi/vz5lNj7I6MYM0uJ1IwYMaJeBf+ak2b58uXw8/Or/n+SJDF9+nS0b99eaAXzV69eYeTIkWCx\nWJg3b55Ui0NZWRkuXbqE+fPn18q2CgwMxLp16/D48eNGrwNErV+kCAhOlhRFwkWczVMgYG1hYYG9\ne/dSdq1UVFQEDQ0NuRdeFYX4+HiYm5tXZyCTJInJkyc3GN+jaHh7eyMlJYWy9p49e4ahQ4eCw+Eg\nOTlZLOdHURy30aNHIy4uTt5mNImo9SxrZs87ODhUZ89PmDBB6ux5kiRx+vRpdO7cGdbW1khPTxe6\nNs+ePRsWFha1bmlOnz5dryxSzTHwzz//NBiqo0Q8FGNmKZGaBw8eQFtb+/tJ1e3bQEoKYggCSElB\n1c2btdLgSZJEVFQUOnToUC9e4f3795gwYQIYDAZmzJghNOC0KWrWN+ratWv1tWdERAT2798vUX2j\nxiqGKxr+/v5YvHixvM0AIP7mKRCw7tixI2xsbHD8+HGpY2wWLFiAgIAAqdqQBbNnzxYa59lUfI8i\ncfnyZZiYmEh9avr69WuEhISAyWRi7ty5El1xK4LjJoj9k7WesLhIoyBTVlaGK1euYOHChdX1Ko2M\njKrrVT569EjshzCSJHHw4EG0a9cOXbt2FVp3ce7cufUectq3b/+9LFKdPQi3b2P69OmYMGGC2H+f\nkvrIf2YpoYZv3/CnmRnyW7cG1NQAgqj+qWjRAg9btgSWLAFZWoqIiAjY2NjUevIpKipCdHQ0GAwG\nJk6cKHKQs6Ci+KZNm2pVFHdzc6O8onhdjT5FJTMzE7q6ugqRPSnp5iko8WBhYQEHBweJC7yWl5dD\nS0sL9+/fl+jzsoAkScyaNQtt27ZtcNyTJIkZM2YIje9RJEiSRJcuXXDgwAGJPl9QUICIiAgwGAxM\nmzZNqlNGRXDcYmNjERoaKm8zGoVqzWY+n4+cnJxqhRhjY2MwGAz8/vvvWLBggVgKMTweD9u3b4ex\nsTF69epVr/TUvHnzYGpq+v00/ds33Bo8GNlqavX2IL6aGm7+z//gY0wM0AyurBUd+c8sJdKTnQ1Y\nWoL/00+1JkvdH/Lnn/EPk4kB7dpVn6QVFxcjISEBLBYLo0aNarLobmVlJW7evClUw2/VqlW0a/i9\ne/cObdu2RVxcnMJlldbE2dkZ27dvl7cZUm+ePB4PW7ZsqRawzszMFOvzmzZtQu/evaWygU5qOmRN\nncoIHDxh8T2KxN69e9GtWzexPvPp0yfMnDkTDAYD4eHhlBRrlrfjJqhvpyjyZMK4d+8euFwu7Xqz\nAk3mSZMmoXPnzlBRUUG3bt1E1mSurKzE2rVroaurC29vbzx48KD6tYULF8JNTw8V5uYgf/650T0I\nP/8MWFp+37OUSIzScWvuZGcDrVs3Plnq/PAMDVF+7x6WLFkCLpeLwYMHNyjj8+XLF5w8eRIzZ85E\nz549oaqqivbt22Ps2LFIS0uTi0Bwfn4+LC0tMXPmTIV13o4ePYoOHTrI3T6qNs+aAtb9+/cXSSCe\nJEm0a9cOp06dosQGqiFJEtOmTUP79u3FugIVFt+jSPB4PBgZGYmkYFJSUoL58+eDxWIhKCiI0np1\n8nbcUlJS4O3tLVcbGuPOnTvgcrnYu3evzPsuLi5GRkYG5syZg969e0NNTQ0WFhYYPXo0Nm/ejNzc\nXKFrV1lZGZYuXVp738jOxicGQ6w9CK1bAzk5Mv+7/y0oHbfmzLdvgJWVeBPm/35y/ud/MMDTE1lZ\nWbWa/Pvvv7Fz506MGzcO1tbWUFFRgZOTE2JiYnD8+HGFKY1QUFCA9u3bY/r06XJ3joTB5/NhYWGB\ns2fPytUOqjfPmgLWw4YNa1Ss+8SJE7CyslLI70eQdNChQweJrgPrJjEoGitXroSPj0+Dr5eXl2P5\n8uXQ1NTEwIEDaVFdkKfjxuPxYGJigsuXL8vNhsbIzMwEh8OR+EqbaqqqqnD37l2sWLECgwYNgra2\nNjQ1NeHr64ulS5ciMzOzVuiH4KZGh8HAaw0NifYgWFkpr00lROm4NWeSk78fPUswaciffwY/ORlZ\nWVlYvXo1hgwZAn19fbDZbPzxxx9YvHgxbty4QWttL2n58OEDOnTogKioKIV0DtavXw93d3e52kDX\n5llTwDo0NFRoxqirqyu2bNlCS//SQJIkJWU+BGVDFDFbtqSkBCwWq562alVVFdavXw99fX14enrS\nqvQhT8ftwIED6NKli0KuCzdv3gSHw5G7ikNjkCSJFy9eYPv27RgzZgysrKygqqoKFxcXxMbG4tSp\nU/jy5QtK4uPBk8RpE1ybLl0q7z+1WaJ03Joz9vaSTZj/+7n5yy8wMzNDcHAwNmzYgKdPnyrkQtcY\nhYWFsLGxQWRkpMLZXlZWBk1NTTx8+FBuNtC9edYUsI6MjKwO3L979y50dHQUzvEnSRLjx4+Hra2t\nRBnTdVm4cCGMjY0VquiygJiYGISFhQH4fgK8c+dOmJmZwdnZWaRrVGmRp+PWrVs3uVxBNsX169fB\nZrORnp4ub1PEpqioCMeOHcOMGTPg6OgIFRUVZLVoIdUehK5d5f1nNUuUjltz5fbtepk74v7w1dS+\nt9PMKSoqQufOnTFx4kSFc94SEhIQGBgot/5ltXnWFbD28/PDwoULZdK3qPD5fISFhaFLly6UXvkn\nJyejdevWcon3bIx3795BXV0d27dvR/v27WFnZ4czZ87IbI7Iy3G7evUqjIyMaE2SkoSrV6+CzWbj\n2LFj8jaFEiquXUOViop0jlurVv+KPUjWKB235kpKinQTRvDTDGRgROHTp0+ws7NDeHi4QjlvHz9+\nhLq6utxioWS9eb548QJ+fn746aefEBsbS1kpGGmpKx5PNUuXLoWhoaFCidFnZGSAzWaDw+Hg8OHD\nMp8X8nLcfHx8sHLlSrn03RCXL18Gm83+XuPs34JyD5IbPwEAoaT5ER9PELGxUjcTQxDEfOmtUaJE\niRIlPxAxBEEkUNFQQgJBxMRQ0dIPw8/yNkCJhLBYlDSjbmxMTJ8+nUhPTycKCwsJfD+FbbY/X758\nIbp160aEhIQQfD5f7vYAIHJzcwkmk0l8/fpV5n0TBCHT/j5//kxoaGgQL1++JAAQd+/eJTw8PAgD\nAwNiw4YNRFVVlUzt4fF4RFBQEOHo6EgUFxfT3l9KSgqhr69P5Obmyvy7zsrKIry8vAg9PT1i3bp1\nRGVlJQGA8PT0JNauXStze2Q99gAQYWFhRExMjMz7bejn3LlzBIvFIjIyMuRui7Q/VVVVRGZmJrF0\n6VJiwIABRFXLlpTsQVTtZT8UUNI8oSjG7XpKCuLi4tCrVy+0bNkS7dq1Q0hICLZu3Yq8vDyFunYU\nla9fv8LBwQEjR46kTG9TWgYMGIBly5bJvF9ZT/GkpCQMHjy43u8FAtZmZmbYtWuXTL4XHo+H4cOH\nw9nZWaZXtmvWrIGenl6DtRGp5unTp/D394empiaWLVtWryr++fPnYW5uLvO5IOux9+HDB6irqytM\nfb2zZ8+CxWLh/Pnz8jZFIr5+/YrTp08jNjYWLi4uaNmyJSwtLTFmzBhs27YN/xw5AlLKPQitWgF3\n7sj7T212KB235oyUWaW5HE6tbLiqqircvn27WpBeS0sLWlpa8PPzw/Lly3H79m1UVVXJ8Q8WneLi\nYjg6OiIwMFAhgpRv3LgBAwMDmf/7yXLzrKiogK6uLm43EGwsqoA1FVRVVWHo0KFwcXFBaWkpLX00\nxrp166Cjo0Nr1f6XL18iODgYLBYL8+bNQ3FxsdD3kSSJTp064ciRI7TZIgxZO25z587FyJEjZdpn\nQ5w6dQpsNhuXLl2Styki8+bNG+zatQvjx49Hx44doaKigh49eiA6OhrHjh2rlYUtUFK4/b//K53j\npswqlQil49ackbKO2xEXl2ptUmFyPyRJIi8vD1u3bkVISAjatWuHli1bolevXoiLi8OZM2ca3CwU\ngZKSEvTs2RMBAQEK4bw5ODhg165dMu1Tlpvntm3b0LNnzybfV1PA2t7eXqiAtTRUVVXB398fvXv3\nlovTJmDjxo3Q1tZGDsUV4t+9e4fx48eDwWBgxowZIpU12blzJxwdHSm1oylkOfbKysrA5XKRrQBS\nSidOnACbzcaVK1fkbUqD8Pl8PHz4EKmpqRg6dCgMDQ3BZDLh7e2NRYsW4dq1aygvLxf6ubS0NBgb\nG8PV1RUvJkyQeA9S1nGTHKXj1pz59u277pskk+b/qlaLuwkUFhYiPT0d06dPh4ODA1RUVGBjY4MJ\nEyZgz549CldJvrS0FL169cKQIUPkflp46NAhdOrUSabXz7LaPEmShLW1tVilDmoKWLu6uuLGjRtS\n21FZWYmBAwfCzc0N3xSgKvuWLVugra1NiUNRWFiI6dOnVz9siaOXWlVVBQMDg3oi4XQiS8dt7dq1\n8PT0lFl/DXH06FGw2Wxcu3ZN3qbU4tu3b7h48SLmz58PDw8PqKurw8TEBIGBgVi/fj0eP37c6LpE\nkiQOHToES0tL2NvbIyMjQ9Cw1HuQEvFROm7NnexswNhYvAkjRCfu1atXGDlyZJPXLnUpLy/H1atX\nsXDhQnh5eYHBYMDIyAgBAQH4888/8ejRI7nHmX379g19+vSBv7+/XJ03Pp8PU1NTXLhwQWZ9ymrz\nPHPmDNq2bSvRd11TwLpfv371ZNjEacfX1xceHh714rzkyfbt26GlpSVxIeavX78iPj4eTCYTo0eP\nlrjY79KlSzFw4ECJPisJshp7fD4f5ubmco8lO3LkCNhsNiUPINLy4cMHHDp0CFOmTEHXrl3RokUL\n2NnZISIiAvv37xfZ6ReEN9jZ2TUc3kDRHqREdJSO27+BnJzvTz1NHVn//PP3p5xGJkxTgc5Nwefz\nkZOTg7Vr12LEiBEwNjaGhoYGPD09sWDBAly6dEkum2pZWRnc3d3h5+dXS3NP1vz555/4/fffZdaf\nrDZPNzc3bNiwQao2agpY+/v74+nTpyJ/tqKiAn/88Qd+//13oVc88mbnzp3Q1NTE/fv3Rf5MWVkZ\nlixZAg6HgyFDhkid7PD161cwmUzk5eVJ1Y6oyGrsHTlyROYn2XU5ePAgOBwObt26JfO+SZLEX3/9\nhU2bNmHkyJEwNzeHmpoa3NzcEB8fj3PnzkmUnCNWQhGFe5CSplE6bv8W4FVLmwAAIABJREFUvn37\nHi/Qtev3TJ2ak6VVq++/X7pU5KPp+/fvw8vLC3p6eli3bp1Uzs67d++wb98+TJo0Cba2tmjRogW6\ndeuGqKgoHD58GB8+fJC4bXEoLy+Hp6cnfHx85CbF9O3bN3A4HMrjnhpCFptnVlYWNDU1KXOYBALW\nTCYTI0eObFKRoLy8HP369YO3t7fCSWzVZM+ePeByuU3qg1ZWVmLNmjXQ1dWFt7c3Hjx4QJkN06ZN\nw4QJEyhrrzFk5bg5Ojpi586dMulLGPv27QOHw2kwKYdqKisrcfPmTSQnJ8PHxwccDge6urrw9/fH\nqlWrcP/+falieu/evQsPDw/o6+tjw4YNot9SULwHKWkYpeP2b+T27e/VqBMSvv9XigXl+vXrcHFx\ngYmJCXbs2EHJtWdJSQkyMjIwZ84c9OnTB2pqarCwsMCoUaOwefNm5Obm0vb0XF5eDi8vL7lu8rNn\nz8aoUaNk0pcsNs8RI0Zg3rx5lLdbWFiI6OhoMBgMTJgwQej1jsAZ79+/v0I7bQL27dsHLpeLO0JK\nINSM+evVqxctV25v3ryBhoYGCgsLKW+7LrIYezdv3pRLtrYAgTN+9+5d2vr4/PkzTp48iZkzZ8LZ\n2Rmqqqpo3749wsLCkJaWRpnU2uPHj6urCaxYsUK6BzEK9yAl9VE6bkpEIiMjA/b29rCysqJcPqeq\nqgp3797FypUrMWjQIOjo6IDL5cLX1xdLly7FrVu3KL3eFFyreXl5yeVaraCgQGb1pujePN+8eQN1\ndXVaHYH3799jwoQJYDAYiI6Ork6gKSsrQ9++fTFgwAC5Xn+LS91rNZIkceDAAbRr1w7dunWjPVZr\nxIgRmD9/Pq19ALJx3AYOHIilcspMlOT6WxT+/vtv7NixA+PGjYO1tTVUVFTg5OSEmJgYnDhxglKd\nXeC7TF1gYCBYLBYSExMVRqZOScMoHTclIkOSJI4cOUK7YDVJknj58iW2b9+OMWPGwMrKCqqqqujZ\nsydmzZqFU6dOSa03Ke9A9jFjxmDmzJm090P35jlt2jSMHz+e1j4ECBJomEwm4uLi4OLigkGDBjUr\np02AIJB9+fLl6Ny5Mzp06ICjR4/KJE7rwYMH0NLSov2hhe6xl5eXByaTia9fv9LajzAECSfSXmPz\neDzcv38fq1evxuDBg6Gvrw82m43+/ftj8eLFuHHjBm0nyW/fvsW4cePAYDAwa9Ysyh1CJfShdNyU\niA2fz8fOnTthamoKZ2dnXL16lfY+i4qKcOzYMcyYMQOOjo5QUVFBhw4dEB4ejp07d+L169dit1lZ\nWQk/Pz+4u7vL3Hl7+vQpWCwW7U+3dG6eX79+BYPBwPPnz2nrQxj3798Hl8vFr7/+isWLFytUBqmo\nXL58Ge3atcMvv/yC+Ph4mWdeu7m5YePGjbT2QbfjNmHCBEybNo3WPoSxdetWaGlp4dGjR2J/trS0\nFOfPn0d8fDzc3d3RqlUrmJmZITg4GBs3bsTTp09pd94/fvyIqVOnQkNDA5GRkSgoKKC1PyXUo3Tc\nlEhMVVUV1q9fD319fXh6ejYZdE0lFRUVuH79OpKSkvDHH3+AxWLBwMAAQ4YMQUpKCh48eCDSZliz\nWKus63798ccfWLVqFa190Ll5Ll26FH5+frS1L4ySkhK4uLhg2LBhuHv3Lvr16wddXV2sXbu2WZy8\n3blzB3379oWBgQE2btyI9PR0uRRrFZRvodNJoHPsFRYWQkNDA2/evKGtD2Fs2rRJrKLK+fn5OHDg\nACIjI2FnZ4cWLVrA3t4ekydPxsGDB4UWPqeLL1++YM6cOWAymQgNDZXoYVeJYqB03JRITXl5OZYv\nXw5NTU0MHDiQVpmfhiBJEk+ePMGGDRsQFBQEU1NTqKuro2/fvpg3bx4uXLjQoGMmL3mkK1euoHXr\n1rSqOtC1eVZVVUFfX1+mNauKi4vh5OSEESNG1Po3u379OlxdXWFsbIy0tDS51w0URk5ODgYMGAAt\nLS2sWrWq1jWlPOSRBAWTjx8/TlsfdDpu8+fPx4gRI2hrXxjr16+Hrq5ug+ubYA1av359g2uQPJQ8\nvn37hqSkJHA4HAwbNgy5ubkyt0EJtSgdNyWUUVJSggULFoDFYiEoKAgvX76Uqz3v37+vftrt0qVL\nvafdmlcE8hAkJ0kS9vb22LdvH2190LV57ty5Ez169KClbWF8/foVPXr0QHBwcIOOmSCBxtLSEgcP\nHpRrXS8BeXl5GDFiBNhsNhYuXNjgxn3mzBmw2WyZFpHdtm0bXFxcaGufrrFXXl5OSXyZOKxZswZ6\nenq1aunVPPX39vauPvUfOnSoWKf+dFFRUYGUlBRoa2vDx8dHoqtdJYqJ0nFTQjmfPn3CzJkzwWAw\nEB4eLpPsSVEQxJckJCQIjS/JycnBiBEj4OjoKDMN1n379sHe3p629unYPAWi5YcPH6a8bWF8+fIF\n3bt3x+jRo5vcCEmSRHp6Otq3bw9bW1ucPn1aLg7cP//8g7CwMDAYDMTGxuLz589NfiYjIwMsFuu/\nckI0U1lZCV1dXaGlSaiALsdt48aNcHNzo6VtYaSkpEBfXx937txpNM5WUkULquHxeNiyZQuMjIzg\n5uaGzMxMeZukhGKUjpsS2sjPz0dERAQ0NDQwbdo0mdSOEoeGMroMDAxgaGiIjIwM2muD8Xg8tG7d\nmrYEDzo2zwsXLsDMzEwmpwmfP3+Gvb09xowZI1Z/fD4fu3btgpmZGZycnGQWQ/bx40dERUWBwWBg\n8uTJYgd+X7hwAWw2G2fOnKHJwtokJSVhyJAhtLRN10ND27Ztaf/3EWS2Dx8+HKqqqjA3N4eqqipc\nXFwoy2ynGpIksW/fPlhYWMDBwQEXL16Ut0lKaELpuCmhndevXyMkJARMJhNz586VS/q+qLx69Qrb\nt29Hu3bt0KJFi3o1lEQ5ORGXVatWoX///pS3C9Czef7+++9Ys2YN5e3W5dOnT7Czs8O4ceMkPjWr\nqqrChg0boK+vDw8PD9oKpX758gWzZ88Gk8nE2LFjpQqav3TpEthsNk6ePEmhhcL5/PkzNDQ0KCvi\nWhM6xt7x48dhbW1N+Skqj8erV0uyZcuWaNGiBWbOnEl5LUkqIUkSJ06cgI2NDWxsbHD8+HGFCBNQ\nQh9Kx02JzMjNzcWwYcPA4XCQnJws8yxOceDz+Rg7diw6deqE/fv301q1vKSkBCwWS2otSmFQvXnm\n5OSAw+HQ/t0VFRWhc+fOmDBhAiWbUHl5OVasWAFNTU34+fnh8ePHFFj5/fp90aJF4HA4GD58OGWl\nUa5cuQI2m01r8oCAyMhIREZGUt4uHY6bi4sLtm3bJnU7Tam3REdHw8jISO5xuk1x8eJFODg4wMLC\nAvv27VM6bD8ISsdNicx5+PAh+vfvDx0dHaSmpiqsVBFJkhg/fjxsbW2ri1MK0wnU09Or1gm8d++e\nRFmiM2fOxNixY6n+EyjfPEeNGoU5c+ZQ2mZdCgsLYWNjg4iICMo3opoJNIGBgXjx4oVE7VRUVGD1\n6tXQ1taGr68vsrOzKbUTAK5duwY2m4309HTK267Jq1evoKGhQXkBVqrH3p07d6CrqyvRyVdNveTO\nnTtX6yVPnTq1nl7ywoULYWxsrDAxa8LIzMyEm5sbDA0NsWXLFloz05UoHkrHTYncuHXrFvr06QMj\nIyNs3bpVIRcfkiQxadIkdOrUSWiMHkmS+Ouvv7Bp0yaMHDkS5ubmUFNTg5ubG+Lj43Hu3DmRslTf\nvXsHdXV1yothUrl5CmysuclRzcePH9GhQwdERUXRenpQM4Fm3LhxePv2rUif4/F42Lx5MwwNDeHu\n7k67sPjNmzfB4XBoTwQZMmQIFi1aRGmbVDtuotpIkiRycnKwdu1ajBgx4v+3d+dxNab//8Dv8Znf\nZ2YqqXM6ndMpaUMlJGurJdvYt7LExJCMyOCjEIpJNGZkl122ZKcY61gqW4WoiGTLlkJJpc65X98/\n/OqBtrPcLYf38/HwT+e+r/uu7pnr1XVf1/uCqakptLW10bt3byxatAjR0dEVFm0OCgpC48aN62yN\ns6SkJAwaNAhisRhr1qyps3/0kupFwY3UunPnzsHe3h6WlpbYv39/nRvuZ1kW06dPR6tWrZCVlVXl\n8ZmZmTh06BD+97//wdbWFmpqamjXrh2mTp2K/fv3l7tZOgCMHTuW89EsLjvPOXPmYMKECZy196XM\nzEy0aNECM2fOrLFnIDMzE9OmTYO2tjZ8fHwq/P1KpVLs3bsX5ubmcHR0rNGaa3FxcdDV1cWBAweq\n7Rolo1lcBgEun73Hjx+Dx+OVO8e0sLAQsbGxCA4ORt++fcHj8WBsbIxRo0YhNDQUSUlJMi1s+eOP\nP9C0aVM8ffqUs/vmyv379zFq1Cjo6upiyZIltVIPjtQdFNxIncCyLI4dO4ZWrVqhdevWOH78eJ0K\ncCzLwsfHBy1btpR7xCk/Px/nz59HUFAQevXqBS0tLZiZmWH06NHYsGEDbt++DZZlkZyczPn8Ma46\nz5J5eKmpqZy096WXL1/CysoKfn5+tfJ7f/LkCTw9PcHn8xEQEFC6YpBlWRw9erTWn8uEhAQIhcJq\nrfnH1fyxElwGt+nTp5fOw8vOzkZkZCR8fX3h4OAAdXV12NjYwNvbG3v27FEoeAUEBMDc3Fzmkdea\nkpGRUfpczp8/v86tZCW1g4IbqVNqc2SjKizLYvbs2WjevLlSrzSlUilu3bqFtWvXws3NDUZGRtDR\n0UG/fv1gbm4OHx8fzjYA56rzXLVqFQYMGMBJW1968eIFLC0t4e/vX+th/dMFNBMmTECHDh1gYWFR\nJ0aCr1+/DqFQiIiIiGppn+sVm1w8eyzL4saNG1BXV8eIESNgaWmJ+vXro2vXrvD398epU6eUWqXO\nsizmzp0LS0vLCkfCa0PJSDCPx6t0JJh8myi4kTqpuLi4RucSyarkf/TNmjXj9H/0T548we7duzFw\n4ED88MMPUFdXh6OjI2bNmoWoqCi8fv1aoXa56DxLas1VRy20Z8+ewdzcvNoXPMjj6tWrpa+4tbW1\nsWrVqjozlygxMREikQi7du3ivG2ua6Qp8uwVFxcjPj4ey5Ytg4uLC/T09KCpqQlDQ0MsX74c8fHx\nKC4u5uT+Pv1DrCb3DK3M27dvMXfuXLnnXpJvCwU3UqeVrN7T09OrttV7iggICICFhQXnu0KU7EoQ\nHh6OkydPYt68eejSpQs0NDRgZWUFT09PbN++HQ8ePJBpZISL4FayuwPXI04ZGRlo0qQJAgMDOW1X\nUUlJSWVWO5es3jM2Nq4zq/du3boFPT09Tl9rluByVwJZnr3c3FycOnUK/v7+cHZ2Rv369dGsWTOM\nHz8e27Ztw507d6Cvr8/57g4sy8LX1xctWrSo1sU2ssrLy8PixYuVXu1Mvg0U3IhKKKmXJRAIOK2X\npYzqmsxc3j6gRUVFiIuLQ0hICIYMGQKRSASxWAxXV1esWLECCQkJ5Y5EKBvcWJZF+/btOZ9b9eTJ\nE5iZmWHx4sWctquIe/fuwc3NrdL6gp/Wy9q7d2+tb2SfnJwMsViMsLAwTtst2Qc0MTFR6bbKe/ae\nPn2KiIgIeHt7w8bGBmpqanBwcMDMmTMRGRlZZuV2deynWrLYyNrautZfQZbUF9TT04OLiwtSUlJq\n9X6IaqDgRlRKTk4O/P39SyvU1/YKsJLyAcpUyv9ScXExDA0Ncfny5QqPYVkWaWlpCAsLg4eHByws\nLFC/fn1069YNAQEBOH36NN69e6d0cIuJiYGJiQmnI02PHz+GqakplixZwlmbipB3R49PF9DUhQr1\nt2/fhr6+PjZv3sxpu0FBQXB3d1e6HYZhkJSUhNDQUIwcORLGxsbg8Xjo27cvgoODERsbW+lcTpZl\n0bJlS06LEFdV3qemlOzo0ahRo2rd0YN8nSi4EZX06tWrz/aErM3XHcHBwTAzM+O0YGdISAhcXFzk\nOicrKwtHjhyBj48P7O3toaamBoZhMGXKFOzdu1eh+TIDBgzAqlWr5D6vIg8fPoSxsTGWLl3KWZvy\nyszMxNSpU8Hj8eDr6yv3qEvJApq6sCfknTt3YGBggA0bNnDWZnZ2NrS1teX+Y6SgoAAXLlzAokWL\n0Lt3bzAMA1NTU7i7u2P9+vVISUmRa6Ty1KlTsLS05Cwcf1pQW9E5o8qqrT10ydeFghtRaU+fPsXE\niRPB4/Ewb968atlLVBZ///03TExMONvzMTc3FzweT6lXwgUFBWAYBosXL0afPn2gra0NExMT/PLL\nL1i3bh2Sk5Mr7UhTU1Oho6MjUwFhWaSnp8PIyAjLly/npD15fVp0d9KkSUpP/JZIJAgLC4ORkRF6\n9OiBuLg4ju5UPnfv3kXDhg0RGhrKWZve3t7w9fWt9JhXr17h8OHDmDFjBuzs7KCmpoY2bdrg999/\nx759+5Qe7e3Rowdno4lSqRQTJ05E+/btOd8hQhYsyyIyMhItW7ZEmzZtcPLkyVpfpUxUFwU38lVI\nT0+Hu7s7BAIBgoODa6VAZUhICIyNjTmbWOzr64vJkycr1cannadUKkVycjLWrVuHUaNGwcTEBDwe\nD3369MHixYsRExPzWUX5CRMmYM6cOUpdv8T9+/fRqFEjTkfvZJWXl4egoCDo6OhgzJgxnE/8/vDh\nA9asWQOxWIyBAwciKSmJ0/ZlkZaWBkNDQ6xevZqT9tLT08Hn80tfH7Msi3v37mHr1q0YN24czM3N\noampie7du2P+/Pk4c+ZMmYCvTHBLTEyEnp4eJ2VxpFIpPD09YWtrWyt10P7991/Y2trCysoKBw8e\npMBGlEbBjXxVUlJSMGTIEOjp6dVKGYcVK1agUaNGnCyeyMjIgJaWllJzcarqPJ8+fYo9e/ZgypQp\naN26NdTU1GBvb4/JkydDXV2dk8nS9+7dQ8OGDbF27Vql25JHYWEhli9fDpFIBFdXV842lq/I+/fv\nsWTJEggEAowcORJpaWnVer0vlYxorlixQum2ioqK0LVrV/Tv3x+DBw+GUCiEvr4+hg4dipUrV+La\ntWtVluVQJri5u7sjKChI4fNLSKVSjBs3Dvb29krVe1PE5cuX4ezsDFNTU+zcubNOrEgmXwcKbuSr\nlJCQgJ9//hmNGjXC5s2bOav9JIvVq1fD0NCQk47b3d0dCxcuVPh8eTvPd+/e4fTp0+jUqRPEYjHq\n168PCwsLeHh4ICwsDPfv35drxCA1NRUGBgZYv369vLeusOLiYmzcuBGGhobo06cPrl+/XmPXBj4u\noAkICACfz4enpyenC1eq8uDBAxgbGyMkJESu83JycnD8+HHMnTsXnTt3hoaGBszMzKChoYGwsDA8\nfPhQ7pEiRYNbRkYGtLW1lV48IJFIMGbMGDg5OeHdu3dKtSWPxMRE9OvXr/S5LyoqqrFrk28DBTfy\nVYuOjoaTkxOaNm2KiIiIGivjsG7dOjRs2BB3795Vqp2bN29CJBIp/MpIkc4zPz8furq6SElJQXFx\nMRISErBixQq4urpCLBZDJBJhyJAhCAkJQVxcXIWhuGTV46ZNmxS6d3lJpVKEh4ejSZMm6NSpEy5e\nvFgj161IVlYWfHx8wOPxMG3aNKV225DHo0ePYGJigr/++qvCY548eYLw8HB4eXnB2toa6urqcHJy\nwuzZs3H06NHSyftOTk4IDw9X6D4UDW6+vr7w9vZW6NwSEokEv/zyCzp16sTZHM2q3L17F8OHD4dQ\nKERISEiFG9kToiwKbuSrx7IsTpw4gTZt2sDa2hpRUVE1Ms9kw4YNMDAwwJ07d5Rqp0ePHgqHH0U6\nz9DQUPTp06fcz1iWRXp6OrZv3w5PT080a9YMGhoa6NKlC+bNm4eTJ08iNze3tM7Y1q1bFbpvebAs\niyNHjqBFixZo164dTp06VafmET179gxeXl7g8XiYO3dujSygefz4MczMzBAcHAyJRILExESsWbMG\nI0aMgKGhIXR0dNC/f38sWbIEly5dqnBKwZEjR2BjY6PQz1ORZy83Nxd8Ph/p6elyn1uiuLgYbm5u\n6NKlS43MdX306BHGjRsHHR0dBAYG1ujoHvk2UXAj3wyWZXHgwAE0a9YMdnZ2OHv2bLVfc/PmzRCL\nxUrNFTt16hQsLCwUGi2Ut/OUSqVo3Lgxzp07J/M52dnZiIqKwsyZM+Ho6IiffvoJ33//Pbp164bd\nu3dX66vCM2fOoH379rCyssLhw4frVGD70oMHDzB69Gjo6Ohg0aJF1TYSlJ+fj3PnzsHHxwdqamr4\n8ccf0bhxY4wZMwYbN27EnTt3ZP45SaVSNG3aVKH/VhQJbiEhIXB1dZX7vBLFxcUYNmwYunXrVu2h\n7cWLF/D29gaPx8OsWbNqrcQI+fZQcCPfHIlEgu3bt8PExARdu3bFlStXqvV6YWFhEIvFCm/XVVKI\n9OjRo3KfK2/neejQIbRp00bhAHTz5k0IhUIEBATgzz//RL9+/cDn82FkZAQ3NzesXbsWt27dUvqV\n9aVLl9ClSxeYmZlh165dtb6TgTxSUlJK9+FcsWKF0isnMzMzcfDgQUyfPh3t27eHmpoa2rdvj2nT\npmHTpk0wNTXFggULFG5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" ] }, "metadata": { "tags": [] } } ] }, { "metadata": { "id": "NCUuW4LrWFMG", "colab_type": "code", "outputId": "4776111b-111b-40e6-b0dc-15eb9b7f914b", "colab": { "base_uri": "https://localhost:8080/", "height": 137 } }, "cell_type": "code", "source": [ "x_matrix, tree_adj = alg(random_weights)" ], "execution_count": 10, "outputs": [ { "output_type": "stream", "text": [ "WARNING:tensorflow:From /usr/local/lib/python3.6/dist-packages/tensorflow/python/framework/op_def_library.py:263: colocate_with (from tensorflow.python.framework.ops) is deprecated and will be removed in a future version.\n", "Instructions for updating:\n", "Colocations handled automatically by placer.\n", "WARNING:tensorflow:From :13: to_float (from tensorflow.python.ops.math_ops) is deprecated and will be removed in a future version.\n", "Instructions for updating:\n", "Use tf.cast instead.\n" ], "name": "stdout" } ] }, { "metadata": { "id": "iUistBCHhi9B", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "MST = nx.from_numpy_array(tree_adj)" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "MQP669R-hpKT", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 477 }, "outputId": "56ad0a77-c6da-47a5-a050-858866d65d53" }, "cell_type": "code", "source": [ "nx.draw_circular(MST)" ], "execution_count": 12, "outputs": [ { "output_type": "stream", "text": [ "/usr/local/lib/python3.6/dist-packages/networkx/drawing/nx_pylab.py:611: MatplotlibDeprecationWarning: isinstance(..., numbers.Number)\n", " if cb.is_numlike(alpha):\n" ], "name": "stderr" }, { "output_type": "display_data", "data": { "image/png": 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X12cdh0jJmzdvYGhoiISEBDRs2JB1nFJJTU2FUCjEvHnzMG3aNNZxCOG8p0+f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" ] }, "metadata": { "tags": [] } } ] }, { "metadata": { "id": "da0wZT8QkKD1", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 33 }, "outputId": "fa0c4164-951f-49dd-ef77-c249e09b9dce" }, "cell_type": "code", "source": [ "nx.is_tree(MST)" ], "execution_count": 13, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "False" ] }, "metadata": { "tags": [] }, "execution_count": 13 } ] }, { "metadata": { "id": "ftVdXQtQjteN", "colab_type": "code", "colab": { "base_uri": "https://localhost:8080/", "height": 33 }, "outputId": "02b9a465-1964-4afa-ee7f-f0e2f8a6d048" }, "cell_type": "code", "source": [ "MST.number_of_edges()" ], "execution_count": 14, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "9" ] }, "metadata": { "tags": [] }, "execution_count": 14 } ] }, { "metadata": { "id": "vc9mRi2M443B", "colab_type": "text" }, "cell_type": "markdown", "source": [ "Мы видим, что алгоритм \"почти\" сходится к тому, что необходимо.\n", "\n", "В целом, учитывая сильную неустойчивость алгоритма, я считаю, что задание выполнено - я ввел функцию потерь и нашел способ поиска Minimal Spanning Tree при помощи градиентного спуска, даже несмотря на то, что остовное дерево строго получено не было.\n", "\n", "Алгоритм крайне чувствителен к гиперапараметрам, начальной инициализации, а также весов частей входящих в функцию потерь.\n", "Со временем я планирую доработать алгоритм." ] }, { "metadata": { "id": "nAOEiIll41J2", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "" ], "execution_count": 0, "outputs": [] }, { "metadata": { "id": "utViwmLsuWkU", "colab_type": "code", "colab": {} }, "cell_type": "code", "source": [ "" ], "execution_count": 0, "outputs": [] } ] }