{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx\n",
    "import math\n",
    "import scipy.optimize\n",
    "import numpy\n",
    "from lib.time_graph import *\n",
    "from lib.vis import *\n",
    "from lib.syn import *\n",
    "from lib.io import *\n",
    "from lib.datasets import *\n",
    "from lib.time_graph import *\n",
    "from lib.experiments import *\n",
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Synthetic data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "algos = [TemporalCuts(\"FSTC-16\", \"fast-sparse\", eps=1e-5, k=16), \n",
    "             TemporalCuts(\"FSTC-64\", \"fast-sparse\", eps=1e-5, k=64), \n",
    "             TemporalCuts(\"STC\", \"diff-sparse\"), \n",
    "             TemporalCuts(\"LAP\", \"laplacian-sparse\"),\n",
    "             TemporalCuts(\"UNION\", \"union-sparse\"), \n",
    "             TemporalCuts(\"SINGLE\", \"indep-sparse\")]\n",
    "\n",
    "grid = slide_diagonal_grids(10, 5, 10.)\n",
    "grid = add_gaussian_noise(grid, 2.8)\n",
    "G, values = time_graph_from_grid(grid, 2)\n",
    "\n",
    "swap_costs = numpy.array([0., .5, 1., 1.5, 2.]) \n",
    "#swap_costs = numpy.array([0.]) * math.exp(2.)\n",
    "\n",
    "res = sparsity_experiments(G, algos, swap_costs, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
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pHOrUqWNCNYHljTfeUFFRkdNyi8WiV155xYSK4MrJkye1aNEip9/z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kma3t27dbGIl5ju9fRESERo8e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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "output_file_name = \"figs/syn_sparsity.png\"\n",
    "plot_sparsity_experiments(res, algos, swap_costs, output_file_name, 0, 600, 1e-4, 1e-1)\n",
    "Image(filename=output_file_name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "algos = [TemporalCuts(\"FSTC-16\", \"fast-norm\", eps=1e-5, k=16), \n",
    "             TemporalCuts(\"FSTC-64\", \"fast-norm\", eps=1e-5, k=64), \n",
    "             TemporalCuts(\"STC\", \"diff-norm\"), \n",
    "             TemporalCuts(\"LAP\", \"laplacian-norm\"),\n",
    "             TemporalCuts(\"UNION\", \"union-norm\"), \n",
    "             TemporalCuts(\"SINGLE\", \"indep-norm\")]\n",
    "\n",
    "grid = grow_diagonal_grids(10, 5, 10.)\n",
    "grid = add_gaussian_noise(grid, 2.8)\n",
    "G, values = time_graph_from_grid(grid, 2)\n",
    "\n",
    "swap_costs = numpy.array([0., .5, 1., 1.5, 2.0]) \n",
    "#swap_costs = numpy.array([0.]) * math.exp(2.)\n",
    "\n",
    "res = sparsity_experiments(G, algos, swap_costs, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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KsWrVqla3Z39Co1u3bjF+/PiS1DNs2LAYNGhQixqay1V3R7Zq1ap2Z+A4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\nPYzXAMBajNeA/zl27Jj69eun1NR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4UB9//LHuv/9+XXHF\nFWrVqpVuu+02LVmyxNIzCQAAAPi9IngDAAAAAEAdM3z4cH399ddq1qyZI7AhWftt+OrcbePjPDG3\ndetWzZw5U/3791fbtm01depU7dy502fX5Q0zK8k4h1rOnDlj+txmgzfp6emmjhs2bJjblXMMp0+f\nVmZmprkCZa5GI5zVr1+/gG5T9N1336lXr15auXLleYEbM6pPDPvjT13TuHHjYJfgktW6QmXrLl87\ndeqU6WND9bP0JSv9IZ1bxSxUWa3NV2O8TZs2ysrKUrdu3RzPMm8DtwYzz/tff/1V8+fP1/XXX68W\nLVrotttu07p163xyTQAAAMCFiOANAAAAAAB10MCBA/Xjjz9q2LBhVSbjnCfkahssqGlibt++fXrh\nhReUlJSk4cOHa82aNT64KusGDRqkqKgoR23VOYc8zpw5YzrUcvr0aWVlZbldncbQsWNH09vFmF2d\nx8rKPFaONbvdlS98+eWXSktL06FDh6qMz5q4CsW4miD25Z+6xhjrocZqXQRvFNAQXLBY/ZxDdXxL\nwR3jF198sbKysjR58mSFhYW5DOD483lfUlKi+fPna/DgwerSpYvee++9oG+/BwAAAIQagjcAAAAA\nANRR8fHxWrFihRYuXKi2bdu6XFXEl6t7uJqUk6QVK1YoLS1NQ4cO1caNG2vdjhXR0dHq37+/6RCF\n2aBKZmamY3Ucd6vU2Gw2S1tdDR06VGFh5/4pxt3nYbfbTdd46tQpt+EgV6zUWhtZWVkaM2ZMjf3n\nrKagjfPrrHhzbnuiUGQ1lGB1JZS6guBNVVZWGJNCO3hj9fPydbgsMjJSs2bN0oYNG9S/f3/HPaym\ne2VtuLsPb9myRePHj1fHjh310Ucf1fq6AAAAgAsFwRsAAAAAAOq4sWPHqqCgQG+99ZY6d+583oSc\nq9+Mr+3EnKsJuW+//VZ9+/bVPffco9LSUl9dnkdmAyVWQi2+3mZKOrdVSc+ePd0GUYzPIycnR8eP\nH/d4vszMTJWVlUlyHW5x/nwbNGigvn37mq7VWwcPHtT111/vCCCYCd0Yx1Ufo5GRkerWrZtuvvlm\nPfroo3rzzTf18ccfKyMjQ5s3b9aePXt05MgRnThxQqdPn9bZs2dVUVFh+s+4ceOq1IDAuVD7/EK9\nrkAJ5VWoQqW2nj17KjMzU8uXL1daWprb573kuyCOq79H7NmzR3/84x+VlpamvXv3+uryAAAAgDqL\n4A0AAAAAABeAevXq6fbbb9eWLVu0evVq3XrrrYqNjbW8mohV1SfkJOnvf/+7evToofz8fN9dYA3M\nBG+M2nJzc3Xs2DGPx7sL3jj3UVhYmFJTU01WeY67Wp0ndSsrK/XNN994PNfq1as9HmN8LkOGDFF4\neLj5Qr00YcIEHT582NF2TapvlxIeHq6hQ4fq+eefV3Z2tkpKSpSbm6tFixbpueee06RJk3TjjTdq\nwIAB6ty5sxITExUbG6uYmBhFRET8LkIPRtAq1Fhd2eRCXe0lJibG9LEX6nZbzqx+zqE6vqXQG+Pp\n6en6+uuvlZeXp0ceeUSXXHJJlWe5v4I41c+3Zs0aXXHFFVqyZInPrg0AAACoiwjeAAAAAABwgUlJ\nSdG8efP022+/6auvvtLkyZOrrITjr4k553Pk5+erX79++v77731+fdX17t1bjRo1crTtri7pXKhl\nzZo1NZ6vuLhYubm5NW4HJZ1beaBx48aWajW7Oo+ZFXfMrspjpd3aWLx4sZYtW+YYWzUxjrHZbGrS\npImeeOIJ7d27V6tWrdIjjzyinj17KiIiwq/1hsoKFlZYnfwPlFALJQSLlesieHO+UB3fUuiO8Usv\nvVTPP/+8du3apezsbD311FPq37+/I4wYiOd9SUmJbrzxRs2ZM8fn1wcAAADUFQRvAAAAAAC4QNWr\nV09XXXWVZs2apS1btujQoUP67LPP9PDDD6tPnz6WJ+bMcH5fcXGxRowYoe3bt/vtGiUpPDxcKSkp\npoMUK1eurPH1NWvWqLKyUpL7cIbNZvMqzDJw4EBFRUU5zuHqvHa73WONnsJB1aWlpVmu1YrKykpN\nmzbNVD3OoZsxY8Zo586deuqpp5SQkODXGquri8EHM1uQBYPVui7U4I2VFW9C9bP0Jaufs5nVyILF\nam1WxoKv9OzZU0888YQyMzN17NgxrV69Wk8//bSuvPJKNWrUyK/P+8rKSt1zzz1atGiR364PAAAA\nCGUEbwAAAAAA+J1o2rSpRo4cqZdeeklZWVkqLi7W119/rWnTpunKK69UkyZN3E7MSTI9Ied8fFFR\nkUaNGqVTp0759drMbjdlt9s9rhRjdiUZb4I30dHRGjBggMtAj/PPtm/frgMHDrg9j6dwkPPnFBcX\np65du1qu1YrPP/9ceXl5butxrssI3UyfPl0ffPCBmjZt6tfa3PH3mPQ1u92uQ4cOBbsMl3777TdL\nxwfrM/e3uLi4Gse/82tlZWUqKioKRFlBExsba/pYu91ueRwFktXamjRp4qdKzImOjlZKSoqmTp2q\nZcuWqaioSNnZ2Zo1a5ZGjx6tVq1a+fx5X1lZqYkTJ2rr1q1+vTYAAAAgFBG8AQAAAADgdyomJkZp\naWl68skntWzZMh09elQbNmzQCy+8oNTUVEVGRp43KSeZm5AzjrXb7dq2bZv+9re/+fVaPK3oYiXU\nsmrVKrer0Riio6M1aNAgLyr1zXZTZsJBRsAlNTXVdG3emj9/vsdjnEM3kydP1uOPP+73umoSyqtr\nVGeMvVANJlgNBMXHx/upkuBq3bq1peMLCwv9VEloiIuLU2RkpCTXK3wZQn18S9ZrC/QKXp6EhYWp\nZ8+emjx5sj788EP98ssv2r59u+bMmaNRo0YpNjbWZQjHyvNekkpLS3XHHXf4+3IAAACAkEPwBgAA\nAAAASDo3+dmrVy9NmTJFK1eu1JEjR/TBBx9o1KhRio6OdhnAMXNOu92u2bNn65dffvFb7V26dFHz\n5s1N1+UuuHLgwIEaV24xJiIHDBjgmFC2ylfBG7PbgXizMo8VxcXF+uqrr0xNrEtSUlKSXn75Zb/W\nZMb+/ftN92GoOHToUEhukbV7925Lx1988cV+qiS4EhMTLR2/Y8cOP1USOqx81oWFhSovL/djNd7b\nuXOnpeNDLXjjyh/+8Afdcccd+uijj3T48GGtXLlSd999t5o1a1YlhCN5fq4az0a73a4NGzaw5RQA\nAAB+dwjeAAAAAAAAlxo0aKAxY8boo48+UmFhoWbMmKE2bdqYnoxzDq6Ul5dr9uzZfq03LS2txm1e\nnLkLtZjdZio9Pd10XdX17t1bjRs3luS6/zxtieUpHFSdv4M3GRkZOnv2rMd6jInZZ599VvXq1fNr\nTWbUldVGnPvUbreroKAgiNW4lp+fX+PrzuPcZrMRvPn/Nm/e7KdKQkerVq1Mb79VWVkZsmGkgoIC\n0+HCevXqOYKgdUVYWJhSU1P1+uuvq7CwUIsWLVKfPn2qBG6tBBVDIVwJAAAABBLBGwAAAAAA4FFs\nbKwefPBBFRQU6MUXX1RMTIzpkIsxcbdgwQLT7/GGmYCJp1CL2eBNbcIsYWFhSklJcbuijmH//v0u\nAw2eanSeHE1MTFSHDh28rtWMtWvXmq6nZcuWuuGGG/xajxm7du3SqVOnJJkLL4USI3QVSvLy8kxP\nyrdt29br1aJC3WWXXWbp+H/9619+qiR0WL3/bN261U+VeG/Pnj0qLS2VZO5+0b59e3+X5Ff16tXT\nzTffrKysLH366aemt1BzXvXmhx9+0E8//eTnSgEAAIDQQfAGAAAAAACYFhERob/85S9as2ZNjau2\nGJwnKQ8fPqyMjAy/1eYpDGM21OJuFRpDbGysevbsWYtKa7fdlJlwkDEBmpaWZrk2q8yEB4x6RowY\nobCw4P9z1A8//BDsEryWnZ0d7BKqKC4uNrUKjzEGLr/88gBUFRxm7wtGOMGf98NQccUVV1g6/rvv\nvvNTJd7LysoydZwxxq1ecyj7t3/7N23atEldunSxvOrNp59+6sfKAAAAgNAS/H/pAAAAAAAAdU7v\n3r21dOlSxySc2ck4f040t2vXTpdcconpeqoHWAoKCrRv3z5Jrlc1MCYdhw4damny0ZXaBG9Wr15t\nun1/bzMlSTt37jRdz4ABA/xcjTlmJ9JDUajVvmHDBsf3xcxqIBdy8CYhIUEtWrSQ5P4e5NxHBw8e\n1JYtWwJSW7B06dLF0vHr16/3UyXes1pT165d/VRJcMTFxWnVqlVq1aqVpNB43gMAAAChhuANAAAA\nAADwysCBAzVx4kRLW/Xk5OT4saJzQROz9VQPtQRimylDcnKyWrZsKcn1JKaxIsY333xT5ec7duzQ\nL7/8IslcyMHfwRu73a6ff/7Z9PFJSUl+rMa85cuXB7sEy4wxsXHjRp04cSLY5TiY/d4YevTo4adK\nQkPfvn0t3RO/+OILP1YTfN26dTN1nPP4PnbsmJ+rsmbFihWWwpZmr7kuadasmWbMmGFqbBufpb+f\n9wAAAEAoIXgDAAAAAAC89sgjj5g+1m63a/fu3X6sRqa2VjImBdesWVPl52YDBOnp6d6Udp60tDS3\nK+sYiouLq0xeeqrRuDZJ6tSpky6++GKf1OrOyZMnVVFRIclcEKhZs2Z+rceMvXv3avPmzVX6KtQ5\n11leXq6vvvoqiNVU9b//+7+WQgkpKSl+rCb4RowYYfpYu92uhQsX+rGa4GvZsqU6duwoydwqQGfP\nntXSpUsDUpsZW7dudWyl5u5+4Xxd4eHhGjRoUEBqC7SxY8eqTZs2ksx9lseOHfNZiCo8PLzGdp2d\nPXvWJ20CAAAAVhC8AQAAAAAAXmvXrp2Sk5Ml1TwhZrxWWFjo13o8BW+cJwWLioocoRZ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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "output_file_name = \"figs/syn_norm_sparsity.png\"\n",
    "plot_sparsity_experiments(res, algos, swap_costs, output_file_name, 0, 600, 1e-5, 1e-2)\n",
    "Image(filename=output_file_name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.6/dist-packages/numpy/core/numeric.py:538: ComplexWarning: Casting complex values to real discards the imaginary part\n",
      "  return array(a, dtype, copy=False, order=order)\n",
      "ERROR:root:Internal Python error in the inspect module.\n",
      "Below is the traceback from this internal error.\n",
      "\n",
      "\n",
      "KeyboardInterrupt\n",
      "\n"
     ]
    }
   ],
   "source": [
    "algos = [TemporalCuts(\"FSTC-16\", \"fast-sparse\", eps=1e-5, k=16), \n",
    "             TemporalCuts(\"FSTC-64\", \"fast-sparse\", eps=1e-5, k=64), \n",
    "             TemporalCuts(\"STC\", \"diff-sparse\", eps=0.),\n",
    "             TemporalCuts(\"LAP\", \"laplacian-sparse\"),\n",
    "             TemporalCuts(\"UNION\", \"union-sparse\"), \n",
    "             TemporalCuts(\"SINGLE\", \"indep-sparse\")]\n",
    "\n",
    "\n",
    "swap_costs = numpy.array([0., 0.01, .02, 0.03, .04]) \n",
    "#swap_costs = numpy.array([0.]) * math.exp(2.)\n",
    "\n",
    "G = read_time_graph(primary_school[\"graph\"], .1)\n",
    "\n",
    "res = sparsity_experiments(G, algos, swap_costs, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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K3Xffvejj9+zZM773ve81+ouV/MX+lClTorKysujj0/7oLdnQWyA7+lo2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\nmEOumUGu2ePUqVPq0aOH9u/fL8l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3z12pxdftplzPbdu2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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "output_file_name = \"figs/school_sparsity.png\"\n",
    "plot_sparsity_experiments(res, algos, swap_costs, output_file_name, 0, 600, 1e-6, 1e-3)\n",
    "Image(filename=output_file_name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "algos = [TemporalCuts(\"FSTC-16\", \"fast-norm\", eps=1e-5, k=16), \n",
    "             TemporalCuts(\"FSTC-64\", \"fast-norm\", eps=1e-5, k=64), \n",
    "             TemporalCuts(\"STC\", \"diff-norm\", eps=0.),\n",
    "             TemporalCuts(\"LAP\", \"laplacian-norm\"),\n",
    "             TemporalCuts(\"UNION\", \"union-norm\"), \n",
    "             TemporalCuts(\"SINGLE\", \"indep-norm\")]\n",
    "\n",
    "swap_costs = numpy.array([0., 0.01, .02, 0.03, .04]) \n",
    "#swap_costs = numpy.array([0.]) * math.exp(2.)\n",
    "\n",
    "G = read_time_graph(primary_school[\"graph\"], .1)\n",
    "\n",
    "res2 = sparsity_experiments(G, algos, swap_costs, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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wRPgAkK04yhlSUlLUoUMHXbt2zRthZWtpT96Z8oUnn3xS+fPn91JUAICc4OGH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\nlh5clQsAAFwhJCREUVFRql6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KJ0+eNP9seS4ODAxUeHi4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sJm8xlSRJVFRUxLhx46Jz585FrQNoPzTeAACUgXxP6vv371/kSurbcsst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\ny3nNed95eXmGivpKytXxOJ6z2+1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p6Xr++ecDulzYxx9/rFWrVkny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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "output_file_name = \"figs/school_norm_sparsity.png\"\n",
    "plot_sparsity_experiments(res, algos, swap_costs, output_file_name, 0, 600, 1e-4, 2e-1)\n",
    "Image(filename=output_file_name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[{'sparsity': 0.00010241654674475139, 'time': 6.538489818572998},\n",
       "  {'sparsity': 0.00010582485740925848, 'time': 11.494817018508911}],\n",
       " [{'sparsity': 6.6736857885161909e-05, 'time': 40.719489336013794},\n",
       "  {'sparsity': 7.8907975117481751e-05, 'time': 132.10709691047668}],\n",
       " [{'sparsity': 0.00010611961232560125, 'time': 40.53948187828064},\n",
       "  {'sparsity': 0.00011545379295257346, 'time': 137.88838601112366}],\n",
       " [{'sparsity': 0.00014976361257238095, 'time': 36.939737558364868},\n",
       "  {'sparsity': 0.0001513597780593675, 'time': 132.25599908828735}],\n",
       " [{'sparsity': 0.00019466883765824252, 'time': 32.860485553741455},\n",
       "  {'sparsity': 0.00018484176952833506, 'time': 126.84684538841248}]]"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "algos = [TemporalCuts(\"FSTC-16\", \"fast-sparse\", eps=1e-5, k=16), \n",
    "             TemporalCuts(\"FSTC-64\", \"fast-sparse\", eps=1e-5, k=64), \n",
    "             TemporalCuts(\"STC\", \"diff-sparse\", eps=2e-5),\n",
    "             TemporalCuts(\"LAP\", \"laplacian-sparse\"),\n",
    "             TemporalCuts(\"UNION\", \"union-sparse\"), \n",
    "             TemporalCuts(\"SINGLE\", \"indep-sparse\")]\n",
    "\n",
    "swap_costs = numpy.array([0., 0.1, 0.2, 0.3, 0.4]) \n",
    "\n",
    "G = read_time_graph(stock[\"graph\"], .1)\n",
    "\n",
    "res = sparsity_experiments(G, algos, swap_costs, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
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7Dke9GTZsmEv7AoCchMIbAAAAAPlK2tFZLCeEJGnv3r2qU6eO/vWvfykpKcmI\n8HKk27dv6+jRow7fa9q0qYejQUYOHjxo89ry9/3QQw/ZTF+xYoXq16+vpk2basKECdqyZYtiY2OV\nmJiopKQkXb9+XQcPHtSiRYs0aNAgPfzww2rZsiVXKALIV8LCwqw5guVqbcvr3377TY888oi+/fZb\ncob/LzExUYcPH3Y46hr5AgAgM0aMGKFChQpZX1u2vz/++KOioqIMjMw5e/fuTfe9xx9/3GNxBAYG\nqkKFCpJkt53OKEZnDRw40GY0H8t6jIqK0pIlS1zeHwDkBBTeAAAAAMhXqlSpok6dOllPnlkOAFle\n//nnn3r55ZdVsWJFDRgwQGvWrFF8fLzRYRvq0KFDSklJkWR/lV7t2rWNCAnpSG8IdstBz9u3b6tH\njx7q0KGDDhw4YP0/YDn4mnr9pn7PZDJpy5YtCgsL03PPPccoDwDyhUqVKum5556z/jamzRliYmLU\ns2dPVahQQW+99ZZWr16dr3OGw4cPW4uQyBcAAM4oV66cwsPDHY6WMnToUAMiyp4DBw5Yn6cueDGZ\nTB4tvJH+KvRJu79nNpv122+/ubwvPz8/DRs2zG49ms1mffTRRw7XLwDkdj73/wgAAAAAuNdbb73l\n8DY4WTV8+HCFhYXd93Njx47VqlWrdOfOHYfFN5aTaVOnTtXUqVPl5eWl2rVrq1GjRmrYsKEaNGig\nunXr2tx/Pi87c+ZMuu9Vq1bNg5Hgfs6fP+9weokSJXTz5k21adNGv/76q8NCG4u001KP9iBJP/74\no/bu3au1a9eqSpUqrgwfAHKcMWPG6Oeff9bt27fTzRkuXryoadOmadq0afLy8lKtWrWsOUPDhg1V\np06dfHFbRvIFAIArfPjhh5o1a5a1mNWy7V23bp02btyY4W2Tcpr0to0VKlRQkSJFPBpL3bp19eOP\nP9pNv3DhglJSUuTl5dqxGvr166dJkyZZl4FlPR45ckTz5s1Tr169XNofABgtfxwlBgAAAJDjWE7u\nm81mu9vjOMNy4iszateurdmzZ6t79+42V7GnjivtKCAHDhzQgQMHNHv2bEmSr6+vGjZsqBYtWqhF\nixZq2bKlfH19sz0fOdG5c+fSfa906dIejAT3c+HCBYfTvb291blzZ7uiG8tzf39/lSlTRsWLF9eV\nK1f0559/6s6dO3afk/76v3Hq1CmFhIRoz549CgoKcvNcAYBxatSooblz56pbt26ZzhkOHjyogwcP\nas6cOZKpSPhJAAAgAElEQVT+yhkaNGhgzRfyas5AvgAAcIXAwEANHjxYo0aNsrst0tChQxUZGWlQ\nZFmX9sIIS+4QGBjo8VhKlChhE4dl2aakpOjChQsqV66cS/srUKCARo8erV69etndunP06NHq3r17\nvihMBpB/cKspAAAAAIZLe0ubrD6c0a1bN/3f//2f/Pz8HF69bpH2pJrlkZiYqK1bt2r8+PFq166d\nypQpo/79+2vnzp0uWSY5SerbCqUtwChevLgRISEdcXFxDqf/61//0i+//GJzYtjLy0s9e/bUhg0b\nFBcXp6NHj2rHjh06duyY4uLitHLlSnXs2NH6/8PyPYvz58+re/fu7p8pADBY165dNX/+fPn7+zud\nM2zbtk0ff/yx2rVrp9KlS6tfv37asWOHUbPkFhndhpAiTQBAVgwaNMhm22HZ/u7cuVPLli0zMLKs\ncbRtNJlMLhnxN6sy6vP69etu6bNHjx6qVauW3aiqZ86c0YwZM9zSJwAYhcIbAAAAAIaznMBy9uGs\nnj17avv27WrcuLHd7SPSXtWeNlbLe5ZHXFycvv76az3xxBNq3769S0bxySksI5+klRev1s/tUq+r\n1MUy8fHxNkU3pUuXVmRkpObOnasWLVrY/Z37+Piobdu2WrJkiVasWKFixYpZTzKn/nfdunWaNGmS\n52YQAAzSvXt37dixQ0888US2c4YbN25o1qxZevLJJxUWFqYDBw54fH7cIfU2KPWy8PHxcbpQGgCQ\nPxUpUkQffvih3f6+2WzW8OHDDYoq6yy3qkwrpxXe3L592y19mkwmjR071m6a2WzW+PHjdevWLbf0\nCwBGoPAGAAAAgOGyO+JNdk7m1KlTR5GRkVq6dKmaNm1qd7sIRyfV0l7dnva9VatWqX79+ho9enQ2\nlkrOcffuXYfTCxYs6OFIcD/37t3L8H2z2axSpUppy5YtatSoUabaDAsL09q1a1WkSBFJ/zuZajlg\nOmHChHT/RgAgL6ldu7a2bt2q5cuXq1mzZjZ5iLM5w9q1a/Xoo49qxIgRhsyTK5EvAABcKTw8XOXL\nl7e+tmxTDx48qIULFxoVVpakt2207Ft5UkZ9unN/rnPnzmrYsKFdEVVsbKw+//xzt/ULAJ5G4Q0A\nAAAAQ6Q+eb9x40YlJydn+9GzZ0+n43nmmWe0efNmnThxQmPGjFGjRo1UoECBLJ1US33rCct9y7t0\n6aKkpKTsLzADpXfC7H5FHvA8b2/vdN+z/G3OmjVLVapUyVK7DRo00MSJEx3ecurSpUv65ptvnAsY\nAHKhp59+Wps2bdLJkyc1duzYTOUMaW9NlTZniIiIUOfOnXP1tpV8AQDgSr6+vho5cqTNvodluzlq\n1CglJycbGF3mpDdKbEJCgocjybhPd49mO378eJvXlvU4adIkt93mCgA8jcIbAAAAAIbLzu2iXK1S\npUoaNmyYduzYoWvXrmnVqlUaOXKkOnTooHLlyqV7Uk2Szck0y+sff/xRAwYMMGx+XKFw4cIOpzPK\nSc7j6KRn6ttDtWvXTh06dHCq7ddff12PPvqota3U5s2b51SbAJCbVaxYUUOHDtX27dt1/fp1rV69\nWqNGjdKzzz6r8uXL243Md7+cYenSpQoPDzdmZlwgdb6QOrej8AYA4KxevXqpatWqdtNPnjypWbNm\nGRBR1hQqVMjh8Q4jik0y6rNQoUJu7bt169YKCQmxWxZxcXH65JNP3No3AHiKj9EBAAAAAEBO5efn\npzZt2qhNmzbWaZcvX1ZkZKQ2bdqklStX6ujRo5JsT5ylvYp95syZatGihbp162bIfGRXQECA9Xnq\noouUlBRdv37d5n2jLVq0SJMnT85WG6tXr5afn5+LIvKs+8X95ptvZqv98PBw9e3b1/ra8je+b98+\nxcfHGzJkOgDkBIULF1ZoaKhCQ0Ot0y5fvqzt27dbc4YjR45IyjhnmDNnjlq0aKEePXoYMh/ZkVE+\ncPnyZQUFBXkwGgBAXuDt7a2xY8fqxRdftLvl7dixY9WrVy+3F41kR/Hixe2mmc1mxcXFeTyWjPr0\nxD79+PHj9cQTT1hfW9bjV199pXfeeUelS5d2ewwA4E6MeAMAAAAAWRAUFKS//e1vmjRpkg4dOqSo\nqCi9/PLL8vHxsRlZxMIy7aOPPlJKSoqBkTuvfPny6b4XExPjwUju7/z589q2bZsiIyO1bdu2LD8i\nIyNz9a3BSpQoYfM69d9i4cKFFRYWlq32//73v1ufp75aMTk5Wdu2bctW2wCQ1wQFBenZZ5/VxIkT\n9fvvv2vPnj3q2bPnfXOGESNG5IrbZ6SVm/IFAEDu0bVrV9WvX99utJSYmBhNmTLFoKgyp1y5cjav\nLdv9q1evejyW1H2mzj+8vLxUtmxZt/ffuHFjdezY0W493r59W2PGjHF7/wDgbhTeAAAAAEA21K9f\nX/PmzVNUVJSqV69u817qA0rR0dH697//7enwXKJChQrpvnfs2DEPRpI1qW/xkZlHXhAcHGw3zXJi\n97HHHpO3t3e22i9evLh1qPe0y+zAgQPZahsA8rp69epp7ty52rt3r2rWrGnzXuqc4cyZM1q4cKGn\nw8u23JovAACc48l9qPHjx9v1bTab9emnn+rGjRseiyOrHnzwQYfTT58+rYSEBI/Gkt7+WpkyZeTl\n5ZnTxRERETZ9pR7xLzo62iMxAIC7UHgDAAAAAC5Qp04dRUZGqkaNGnZXsFssX77cgMiyr3bt2taD\nY2nn6/fffzcipPuy3LojK4+8IO0VlamlPcnrrJo1azpcXleuXHFJ+wCQ19WuXVuRkZGqVatWnsoZ\natasKR8fH0m5J18AgNzG8jubVmJiolv6y6jd9GJxh3bt2qlZs2Z2+yHXrl3ThAkTPBZHVtWpU8f6\nPHXsZrNZUVFRHo0lKirKZvtsyUFSx+hutWvX1ksvvWS3Hu/du6cRI0Z4LA4AcAcKbwAAAADARQIC\nArRw4UKbe89b/jWbzfrll1+MDM9phQsXthvNxyIyMtLD0dxfVke6yUsj3zz00EPpvhcQEOCSPtJr\nh8IbAMi8Bx54QN999126OcOGDRuMDM8pvr6+6RZn5sR8AQByo0KFCjmcfuvWLbf0l9GoLOnF4i4f\nf/yxzWvLNnPy5Mm6dOmSR2PJrMceeyzd93bv3u2xOK5cuaLTp09Lkt12+tFHH/VYHJI0evRoFShQ\nwPrash6/++47CnUB5GoU3gAAAACACz366KMKDQ21HsxKfVDr0qVLun79ulGhZUuLFi1s5sVycGzz\n5s1KSkoyMDJbAwcOVHJystOPpKQkPfDAA0bPhtPSK5CSpCJFirikj6JFizqcnlv/tgHAKHXq1FG7\ndu0c5gxXr17V5cuXjQrNaS1atLB5bckXtm7dqnv37hkUFQDkHcWKFXM43V3bjIyK69OLxV2aNm2q\n9u3b2xWOJCQkaNy4cR6NJbOqVaumUqVKSbIfDW7jxo0eiyOjvlq2bOmxOCSpcuXK6tu3r916NJvN\nGjZsmEdjAQBXovAGAAAAAFysbdu26b6XG0+iSdIzzzxjfZ76ANnNmze1evVqI0KCA7Vr15avr68k\n+wO7N2/edEkf6bVTsGBBl7Q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973+VmprqifDypJSUFB09etTuuqZN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\niqQbAHCy+vXra+7cudq7d6/uvfdeq3WW54O//vpLixYtcnd4udK5c2c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7rQo0mbKmLgAAgI33i1/8ot7l6bMWbLHFFnH33Xfn7U2BiIjRo0dXf6DR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\nFy96bMOFgZIzM84ShTeAL5DXAJQ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B7N69W/v27ZNkbpWN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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "output_file_name = \"figs/stock_sparsity.png\"\n",
    "plot_sparsity_experiments(res, algos, [0., 0.1, 0.2, 0.3, 0.4], output_file_name, 0, 600, 1e-6,6e-3)\n",
    "Image(filename=output_file_name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[{'sparsity': 7.2142470271865315e-05, 'time': 3.7352564334869385},\n",
       "  {'sparsity': 0.00010241654674475139, 'time': 6.9934237003326416},\n",
       "  {'sparsity': 0.0, 'time': 34.622586727142334},\n",
       "  {'sparsity': -5.1024842940552675e-23, 'time': 36.042699098587036},\n",
       "  {'sparsity': 1.1982585451096368e-05, 'time': 0.34286141395568848},\n",
       "  {'sparsity': 0.0, 'time': 5.5506081581115723}]]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "algos = [TemporalCuts(\"FSTC-16\", \"fast-norm\", eps=1e-5, k=16), \n",
    "             TemporalCuts(\"FSTC-64\", \"fast-norm\", eps=1e-5, k=64), \n",
    "             TemporalCuts(\"STC\", \"diff-norm\", eps=2e-5),\n",
    "             TemporalCuts(\"LAP\", \"laplacian-norm\"),\n",
    "             TemporalCuts(\"UNION\", \"union-norm\"), \n",
    "             TemporalCuts(\"SINGLE\", \"indep-norm\")]\n",
    "\n",
    "\n",
    "swap_costs = numpy.array([0., 0.1, 0.2, 0.3, 0.4]) \n",
    "#swap_costs = numpy.array([0.]) * math.exp(2.)\n",
    "\n",
    "G = read_time_graph(stock[\"graph\"], .1)\n",
    "\n",
    "res2 = sparsity_experiments(G, algos, swap_costs, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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zOcPAgQNdFt3kz59fU6ZM0SuvvJKtPho0aKCvv/5ax44d07Bhw/TLL7/kuHwB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\nMplMeuKJJ3xyHqV06dIaNmyY09+to0a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jjz+snps6w7p06eKhiIqW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ixYvrt99+09NPPx2QFXnbtWunv//97y77OK//+7//syAiwHzk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\nSpUrV1blypUlSW3atNGDDz4oSTp8+LA+/fR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XlZqamqsAz0gcNptN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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "output_file_name = \"figs/stock_norm_sparsity.png\"\n",
    "plot_sparsity_experiments(res2, algos, [0., 0.1, 0.2, 0.3, 0.4], output_file_name, 0, 600, 1e-4, 2)\n",
    "Image(filename=output_file_name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "algos = [TemporalCuts(\"FSTC-16\", \"fast-sparse\", eps=1e-5, k=16), \n",
    "             TemporalCuts(\"FSTC-64\", \"fast-sparse\", eps=1e-5, k=64), \n",
    "             TemporalCuts(\"UNION\", \"union-sparse\"), \n",
    "             TemporalCuts(\"SINGLE\", \"indep-sparse\")]\n",
    "\n",
    "#algos = [TemporalCuts(\"FSTC-10\", \"fast-sparse\", eps=1e-5, k=10)]\n",
    "\n",
    "swap_costs = numpy.array([0., .002, .004, .006, .008]) \n",
    "\n",
    "G = read_time_graph(dblp[\"graph\"], .1)\n",
    "\n",
    "res = sparsity_experiments(G, algos, swap_costs, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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++KK2b98uyTl0c8MNN2jr1q265557vNpmrVq19OGHH2rjxo0FGtEY\nAAIFwRsAKIYyMjJcPgAAKIzvvvvO9mf7jpPatWt7NSxiL5g6aI4ePaohQ4Y4XFSS/rorcNmyZWrT\npo1P2n7mmWe0fv16XXPNNT7Z/9UICwtThw4d8hxq3GwvvfSSsrKybM+tHZTvvPOObrrpJhMrAwCY\nwWKxaMKECU7LDMPQlClTlJqaalJlvvHee+9pzZo1DmEb64XVNm3aaOHChR6PcJhbr1699NZbbzlN\nOSVJmZmZ+sc//uGVdqz7jY2NdRihx3psc+fO1f79+73SFgAEO3d9AzVq1NDzzz/vkzaLWt9A9+7d\n1aZNG6cw55kzZ/TWW2+ZVJWjZcuWae7cuS5v/GnYsKF+/vln1ahRw2ftt2zZUgkJCXrxxReL3OcH\noOgritc5Cd4AQDFUv359lSlTxukBAEBh/PLLLw7PrR033bt3N6miwDJq1CjbhbncdwXOmDFDrVu3\n9mn7TZs21caNG33asRYM1q9fr+XLlzt0Skp/DpvtrYt/AIDA07lzZ7Vv397pAtu5c+c0ZcoUk6ry\nvoyMDI0ePdopKCxJ4eHh+uijjzyeOsSdwYMHq1OnTk4j6xiGoQ0bNuiLL77wWlvR0dHq3bu30+eY\nlZWl0aNHe60dAAhm7voGunXrZlJF5pg4caLDc+u5a+rUqTp37pxJVf0pJydHQ4cOdXvjz6JFixQV\nFeXzOkJDQzV16lTNnj3b520BCC6urnHWr1/f1JoI3gAAAADwCnd3AV933XV+riTw7NmzRx9//LHT\nFAoWi0WdO3fWE0884Zc6qlWrpipVqvilrUD15ptvOi2zWCwaM2aM/4sBABQpkyZNcnhuPZ9PmzZN\np0+fNqkq75o2bZrOnDkjyTkoPHLkSDVo0MAn7c6aNUvh4eGSHMM+hmF4fRqosWPHqkSJErbn1s/x\n888/186dO73aFgAEI/oG/tShQwdbcNReWlqa028Gf/vkk0+UmJgoyfX5PDo62q/1tGrVyq/tAYAv\nELwBgGLowIEDSk9Pd3oAAFAYKSkpLocHLlu2rAnVBJbp06crOzvbabnFYikyw1BDOnv2rL777jun\nv+f16tXTnXfeaVJVAICi4pZbblHXrl2dLrBlZGQoNjbWpKq8JycnRzNnznQ52s21116r4cOH+6zt\nBg0a6JVXXnG6OChJSUlJ+vHHH73WVr169dS/f3+nz9EwDI0cOdJr7QBAsKJv4C/uRr2ZMWOGjh8/\nblJVf/ZB2NdkVaNGDb388stmlAQAV8XVNc4DBw6YWhPBGwAohiIjI10+AAAojLCwMJfLg+UOb1+5\nfPmyw2g30l8Xk+677z41btzYxOpg78svv1RWVpbtufVzeuCBB0ysCgBQlEyYMMHhnG69wPb+++/r\n8OHDJlZWeEuXLtXRo0clOd8dP2DAALe/Bb3l//7v/xQaGipJThd0586d69W2XnvtNUVERNieWz/H\nxYsXa8OGDV5tCwCCDX0Df2nVqpV69OjhFOa8dOmSxo4da0pNv/76qzZt2mQ7t0l/nc9ffPFFh1Hf\nAKCoKorXOQneAAAAAPCKqKgop84kSVq3bp0J1QSOFStW6Pz585Lk9P499dRTZpQEN5YsWeJyOaPd\nAACsmjdvrkceecTpnJ6ZmRnw0xJ+9dVXtj/bB19CQ0PVt29fn7dfo0YNde7c2eG9tV40XLJkia5c\nueK1tqpVq6bBgwe7/G07YsQIr7UDAMGIvgFHsbGxCgn563Ks9dw1b948t9Ny+dLXX3/tUItVSEiI\n+vTp4/d6ACBYELwBAAAA4BW1a9d2eG7tTPrhhx+0b98+k6oq+r7//nvbn+07vcqUKaMuXbqYURJc\nMAxDa9ascTlkeps2bUyoCABQVI0bN87hbn/rb6KPPvpISUlJJlZWOEuXLnU5Ql/nzp1VrVo1v9Tw\n5JNPOrRvdeHCBa1evdqrbQ0bNkwVKlSwPbd+jqtXr9by5cu92hYABBN3fQM//vij9uzZY1JV5rn+\n+uvVp08fpzBSVlaWXnvtNb/XY98HIf11Pr/llltUvXp1v9cDAMGC4A0AAAAAr4iJibH92b5DKSsr\nSw8//LBtVBc4Wr16tcuLWO3atWOI5yIkKSnJ5d/h6tWrq3z58k7L169fr+HDh+u2225TjRo1VLp0\naZUqVUqVK1dWs2bN9PDDD+udd94x5Q5HAIBvXXfddXryySedLrDl5ORo1KhRJlVVOHv37tXx48cl\nOY/Q16FDB7/Vcfvtt7td5+3gTYUKFfTKK6+4HLVh5MiRXm0LAIKJu76B7OxsPfzwwzp37pwZZZlq\n7NixKlmypO25NYz0xRdfaMeOHX6r4+LFi9q6davLG0ruuOMOv9UBAMGI4A0AAAAAr8g9Oos1QCJJ\nW7duVdOmTfXpp58qKyvLjPKKpIsXL2r37t0u1916661+rgZ52blzp8Nz69/va6+91mH5kiVL1KJF\nC91666164403FBcXp1OnTikzM1NZWVk6f/68du7cqS+//FJDhgzRddddp9tuu4075wEgyIwePVrh\n4eG259YLbIsWLVJCQoKJlXlm69atbtfddNNNfqujcuXKqlOnjiQ5XTTMq0ZPvfDCCw6j+Vg/x4SE\nBIepOgAAf+ncubPtO9r6vWl9/uuvv+qGG27Qxx9/XKz6BurWrasBAwY4hTkNw/BrmHPbtm3Kycmx\ntW2vbdu2fqsDAIIRwRsAAAAAXtGgQQN1797d1qlm7WCzPj927Jj69OmjunXr6vnnn9ePP/6o9PR0\ns8s2VWJiottOryZNmphREtxwNzWI9WLcxYsX9fjjj+vee+/Vjh07bP8PWDuY7T9f+3UWi0VxcXHq\n3LmzHnzwwWJ59ycABKNatWpp4MCBLkdLGTFihAkVFY793fj2gReLxeLX4I30Z9An93nVMAz9+uuv\nXm8rIiJCI0eOdHmh9LXXXnP5+QJAcVevXj09+OCDtu/I3H0DJ06cUN++fVWnTh0NGjRIy5YtKxZ9\nA6NGjVJERITtufV9+f7777V+/Xq/1LBr1y6366Kjo/1SAwAEq7D8NwEAAAAQqAYNGuRyGpyrNWrU\nKHXu3Dnf7caPH6+lS5fq0qVLLsM31k62GTNmaMaMGQoJCVGTJk108803q3Xr1mrVqpWaNWumsLDi\n8U+Vw4cPu133t7/9zY+VID9Hjx51ubxSpUpKS0vTnXfeqV9++cVl0MYq9zL7u0AladGiRdq6dauW\nL1+uBg0aeLN8AIAJXn31Vc2ZM8d2MdH6u2jFihVatWpVntMmFTXufrPUqVNHZcqU8WstzZo106JF\ni5yWHz9+XDk5OQoJ8e69ps8884ymTp1qew+sn2NSUpLmz5+vfv36ebU9AAgG48aN0/fff6+LFy+6\n7Rs4efKkZs6cqZkzZyokJETR0dG2voHWrVuradOmQTX9ctWqVfXCCy9o0qRJTqO2vfrqq1q1apXP\na7A/n9vXULJkSdWuXdvn7Rc33uqTyy0uLs7r+wRQeMWjNxsAAAAoRqwX9w3DcJoexxPWDrGCaNKk\niebOnavevXs73N1mX1fuUUB27NihHTt2aO7cuZKkUqVKqXXr1oqJiVFMTIxuu+02lSpVqtDHURQd\nOXLE7brq1av7sRLk5/jx4y6Xh4aGqkePHk6hG+ufIyMjVaNGDVWsWFHJyck6duyYLl265LSd9Of/\nGwcPHlSHDh20ZcsWRUVF+fioAAC+VLlyZQ0dOlRjxoxxusA2YsQIxcfHm1TZ1csdQLX+rqtcubLf\na6lUqZJDHdb3NicnR8ePH1etWrW82l6JEiU0duxY9evXz2nqlLFjx6p3795BdWEYALyhcePGmjdv\nnnr16lXgvoGdO3dq586d+vDDDyX92TfQqlUrW79AMPQNDBs2TLNmzVJKSoqkv84ncXFxWrZsWYFu\neCoMdzeU2E+riMLxdp9cbrl/UwIoOphqCgAAAAhiuae0udqHJ3r16qX//Oc/ioiIcHlXm1Xuzjbr\nIzMzU2vXrtXEiRPVpUsX1ahRQ88++6w2btzolfekKLGfVih3AKNixYpmlAQ3rB2juX366af6+eef\nHTqMQ0JC1LdvX61cuVIpKSnavXu3NmzYoL179yolJUU//PCDunXrZvv/w/o6q6NHj6p3796+PygA\ngM8NGTLEIUhp/e7fuHGjvvvuOxMruzqupkK0WCw+uYs7P3m1ef78eZ+0+fjjjys6Otpp9LrDhw/r\nvffe80mbABDoHn74YS1YsECRkZEe9w2sW7dOkyZNUpcuXVS9enU988wz2rBhg1mHVGjly5fX8OHD\nXY6QOnLkSJ+3n/s8aa2Dmz58o7B9ct7oowPgPwRvAAAAgCBm7djy9OGpvn37av369WrTpo3TsNK5\n73bLXat1nfWRkpKi2bNnq23bturatatP7hgyi3Xkk9wC/S6+YGT/WdmHZdLT0x1CN9WrV1d8fLzm\nzZunmJgYp7/nYWFhuuuuu/T1119ryZIlKl++vK3z2f6/K1as0NSpU/13gAAAnyhTpoxeffVVp99V\nhmFo1KhRJlV19axTheRW1II3Fy9e9EmbFotF48ePd1pmGIYmTpyoCxcu+KRdAAh0vXv31oYNG9S2\nbdtC9w2kpqZqzpw5uuWWW9S5c2ft2LHD78fjDYMHD3YY4db6nmzdulVffvmlT9t2dZ60WCwKDw8v\n9L4PHjyo9u3bF+oRbArbJ+etPjoA/kHwBgAAAAhiZt5R07RpU8XHx+vbb7/Vrbfe6jSMtKvOttx3\nveVet3TpUrVo0UJjx44txLtSdFy+fNnl8pIlS/q5EuTnypUrea43DEPVqlVTXFycbr755gLts3Pn\nzlq+fLnKlCkj6a8OZ2vH6xtvvOH27wgAIHAMHDhQtWvXtj23ft/v3LlTn3zyiVllXRV35yPrOcyf\n8mrTl+fNHj16qHXr1k4Xvk6dOqW3337bZ+0CQKBr0qSJ1q5dq8WLF6tdu3YO/Q2e9g0sX75cN954\no0aPHm3KMRVG6dKlNWrUKIfzifW9eO2113wasHB3nvTGlIkZGRlat26d4uPjtW7duqt+BNIUnAXl\n7RFvGPkGKNoI3gAAAABBxv7i/apVq5SdnV3oR9++fT2u55577tGaNWu0b98+jRs3TjfffLNKlChx\nVZ1t9kNSG4ahsWPHqmfPnsrKyir8G2YidwGb/EIe8L/Q0FC366x/N+fMmaMGDRpc1X5btWqlN998\n0+WUU6dPn9YHH3zgWcEAgCKjVKlSev31111eYBszZoyys7NNrK5g3I3Gl5GR4edK8m7T16MGTpw4\n0eG59XOcOnWqz6a5AoBgcffdd2v16tXav3+/xo8fX6C+gdxTU+XuG4iNjVWPHj0C7t/QAwYMUP36\n9Z2W79mzR//5z3981q6786S337/iHCTxRZ+c/SPQ+8GAYEbwBgAAAAhiRWko2nr16mnkyJHasGGD\nzp07p6VLl+r111/Xvffeq1q1arntbJPk0Mlmfb5o0SI9//zzph2PN5QuXdrlckY5KXpchaTsp4fq\n0qWL7r33Xo/2PWDAAN144422fdmbP3++R/sEABQt/fr1U8OGDZ2W79+/X3PmzDGhoqsTHh7u8nel\nGWGTvNr0xlQZeenYsaM6dOjg9F6kpKRo8uTJPm0bAIJF3bp1NWLECK1fv17nz5/XsmXLNGbMGN13\n332qXbu2UyAjv76Bb7/9VgMHDjTnYDwUFhamMWPGuAzljh071mdBIld9EIZhuJ0G2xNMn/SXYD8+\nAI7CzC4AAAAAQPETERGhO++8U3feeadt2ZkzZxQfH6/Vq1frhx9+0O7duyU5dqjlvrvt/fffV0xM\njHr16mXKcRRWhQoVbH+2D13k5OTo/PnzDuvN9uWXX+rdd98t1D6WLVumiIgIL1XkX/nV/dxzzxVq\n/wMHDlT//v1tz61/x7dt26b09HRTpvIAAHhPaGioxo8fr0cffdRpasHx48erX79+Pg+NFEbFihWd\nlhmGoZSUFL/Xkleb/vjtNHHiRLVt29b23Po5Tp8+XS+++KKqV6/u8xoAIFiULl1anTp1UqdOnWzL\nzpw5o/Xr19v6BpKSkiTl3Tfw4YcfKiYmRo8//rgpx+GJPn36aMqUKdq1a5fDDRh//PGHZs6cqRde\neMHrbZYvX97hufX9S05O9sr+Czp6DYEUAMGIEW8AAAAAFAlRUVG6//77NXXqVCUmJiohIUF9+vRR\nWFiYw8giVvZzoOfk5JhYuedq167tdt2JEyf8WEn+jh49Wuj52gN5SORKlSo5PLf/u1i6dGl17ty5\nUPt/4IEHbH+274TMzs7WunXrCrVvAEDR8PDDD6tFixZOF5tOnDihadOmmVRVwdSqVcvhufU8ePbs\nWb/XYt+m/fk4JCRENWvW9Hn7bdq0Ubdu3Zw+x4sXL2rcuHE+bx8Agl1UVJTuu+8+vfnmm9q1a5e2\nbNmivn375ts3MHr06ICYvtHKYrEoNjbWaZlhGJo0aZIuXLjg9TZzn8+tTp48Weh9N2nSpEBTJe3f\nv19SwUM6ABAoCN4AAAAAKJJatGih+fPnKyEhQY0aNXJYZ3+h48CBA/r888/9XZ5X1KlTx+26vXv3\n+rGSq1Mc52uvUqWK0zJrh2/Lli0VGhpaqP1XrFjRNgVJ7vdsx44dhdo3ACBv/jxXTZw40altwzA0\nZcoUpaam+q2Oq3XNNde4XH7o0CFlZGT4tRZ358UaNWooJMQ/3d2xsbEObdmPuHDgwAG/1AAAxUXz\n5s01b948bd26Vddff73DOvu+gcOHD+uTTz7xd3mF0q1bN7Vp08YpzHn69Gm99dZbXm/Pvg/Cvs3L\nly/r2LFjXm8PAIoTgjcAAAAAirSmTZsqPj5ejRs3drqzzWrx4sUmVFZ4TZo0sV20yX1cu3btMqOk\nfF3tfO3BMoS0uzsDJTl1/nrq+uuvd/l+eWvYbwAoSsLCwlwuz8zM9El7ee3XXS2+0KVLF7Vr187p\n+/7cuXN64403/FbH1WratKntz/a1G4ahhIQEv9aSkJDg8LvJ+vvQvkZfa9KkiR577DGnz/HKlSsa\nPXq03+oAgOKkSZMmio+PV3R0dFD1DUyYMMHhuTXMOXXqVJ07d86rbTVp0sTtusTERK+2BQDFDcEb\nAAAAAEVehQoV9Mknn9g61uz/axiGfv75ZzPL81jp0qWdRvOxio+P93M1+bvakW6CaeSba6+91u26\nChUqeKUNd/sheAMgGIWHh7tc7otpFSTlOSqLu1p8ZdKkSQ7Prb9n3n33XZ0+fdqvtRRUy5Yt3a7b\nvHmz3+pITk7WoUOHJMkp9HLjjTf6rQ5JGjt2rEqUKGF7bv0cP/vssyIboAaAQFeuXDl99tlnbvsG\nVu2tdDwAACAASURBVK5caWZ5HrnjjjvUsWNHp/Naamqq02+GwmrRosX/s3fn8VGV9/7AvxOIkQRk\nRwVl0SoVxa1S8LKpBbVu1V61detVuCpiKdaltkpVKrbeumOtiFvdrrZX/VnFfV9QqeBeQRAoohJA\nkCUBwZD8/uhrYoZMWCaTTBLe79drXmTOzDzP95w55EzO+czz1PjlnzfeeCOrfQFsaQRvAACARmGf\nffaJIUOGVJ6MqnpSavHixbFs2bJclVYrgwYNSlmX5AnDV155JcrKynJYWarRo0dv0nztNd3Kyspi\nm222yfVqZKymgFRERMuWLbPSR6tWrdIub6z7NsCGtG7dOu3yL7/8sk7621CIsaZa6kr//v3jsMMO\nq3aBrbS0tNq33huKXXfdNbbddtuIqH6h7qWXXqq3OjbU1+DBg+utjoiIHj16xOmnn17tfayoqIiL\nL764XmsB2JL07t07Dj300LTnBpYuXVpnnyXqUk1TUd50002xYMGCrPVTWFgY++yzT9qRVhvrF5oA\nGgrBGwAAoNE4+OCDa3ysMZ5ci4g4/PDDK3+uevJr5cqV8fTTT+eiJNLYfffdo6CgICKqX3BcuXJl\nVvqoqZ2tttoqK+0DNCTbb799yv3kBab58+fXSX+ffvppjY917ty5TvrckCuuuCLleJJc/1tuuaXO\ntkFtVb3IGfFtzU8//XQsWrSoXmq48847U/pPatGiRb0HbyIixowZE4WFhSk1VVRUxGOPPRZTpkyp\n93oAthRN7dxAnz594uijj64WiPn666/jd7/7XVb7qnoOIuLbY9fkyZMb7Mh7AI2B4A0AANBodO/e\nvcbHsj33eX0ZMmRI5Tft1w903HHHHbkoiTSaN28ee++9d9pvBmZrRJqa9uG2bdtmpX2AhqSmKfw+\n++yz+Prrr7Pe38cff1z5c9Xj7bbbblvvU01FROy1115x/PHHVzuurF27Ni699NJ6r2dT/PjHP678\nuWrdZWVlcdddd9V5/wsWLIinn3465f2rqKiIRCIRhx9+eE6Cqtttt12MGjUq7eeDiy66qN7rAdhS\nNMVzA+PGjaucBiri20DMHXfcEXPmzMlaP8ccc0zlz1WPX+vWrYt77rkna/0AbGkEbwAAgEZjQxfG\nkqORNDZbb711nHLKKWm/Qf7oo4+mXCgkt4YMGZJ2+fTp07PS/vTp06uFryIiunXrlpX2ARqSPffc\ns/LnqsfA8vLymDZtWtb7mzp1asr9ZGCjah317fLLL4/mzZtX3k8e/++9994Gefw/7LDDKkcqSh6v\nkjVPnDixzqfIvPnmm2PdunUREdWCLsOGDavTvjfkwgsvjDZt2lTeT26Tl156KZ577rmc1QXQlDXF\ncwO9evWKk08+udoxrqysLC655JKs9bPXXnvFfvvtV/lZKOLbY9f111/foKa8BmhMBG8AAIBGo7i4\nuMbHOnToUI+VZNfZZ5+d8s22pPLy8jjvvPNyUBHp/PCHP0y5nzw5+fbbb1deCMzU0qVL45NPPomI\n6hcTe/fuXau2ARqiLl26xI477hgR1Ud8e/bZZ7Pe37PPPps23Lj//vtnva9N9Z3vfCdOPfXUar/3\n161bF2PGjMlRVTVr1qxZnHXWWZX1Vq17zpw58T//8z911vcnn3wSV199dcoFwqSePXvGIYccUmd9\nb0ybNm3i/PPPN+oNQD1qqucGLrvsssjPz6+8n/yb84EHHogPPvgga/2MGjWq8ueqx6/PP/88rrnm\nmqz1A7AlEbwBAAAajarfVq96waWwsDA6d+6ci5KyomfPnimj3iS/eVZRURFPPvlkvQ33XFxcHIsW\nLaqXvhqj//iP/0g7+szXX38dTzzxRK3afvDBByt/rrpvN2vWLPr161ertgEaqkMPPTTtiG8PPPBA\nVvt55ZVX4rPPPouI6uHGXAY2IiIuvfTSlG/tJ7fBww8/XG2UnoZg9OjR0a5du4ioPurNFVdcURki\nzbazzjqrcgqy9T8vXXbZZXXS5+Y455xzolOnTpX3k9tk2rRp8dBDD+WwMoCmqaZzAwUFBZXB3sao\ne/fuccYZZ1T7vFJRUREXX3xx1vo56aSTolevXmlHvRk3blzWRnUF2JII3gAAAI3CmjVr4qGHHko5\nqZY8SdQUggnjxo2LbbbZJiKqX8gaOXJknUy7UdUHH3wQ/fr12+A3B4m0IxNERPz5z3+uVbsTJkxI\nuZ/ctwcOHBitW7euVdsADdVPf/rTyp+r/m6dNWtWPProo1nrp+o3t6t+jujevXvOP0N06dIlRo4c\n2WhGS2nVqlWMHTs2bb1r1qyJU045JdasWZPVPm+44YZ4/vnnKz8XVX0P+/XrF8cff3xW+8tEYWFh\njBkzJu12+e1vf1vrkfEA+NbatWvjwQcfTHtuoG/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apObNm9sa45dfftE//vEPvf766zp48GCZpmxJJWbP2bp1q66//notXbpU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\n3jEthnfffbfEQWnneMLCwjR06FD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7Rj7vnWcCAgAAABAcKLwBAAAA\nACDIHT161PC2LVu2NDGSwDNSeOMYKN2wYYNOnjzpt7ZdFd44D8yGhYWpZ8+eklzH6jwIX1BQoIUL\nF5oeY/H2bTabevXq5bd2Q8n48eMVHh4uyfWguvM1dOLECctiM8pxDv/+978rPj7e8vbffvttVatW\nTZL7GZ0cCgoKNGHCBEtiCxZvvvmm4W0d53PixIkBOZ9WmDdvXmHxlacZkxzH495771X37t2tCK+I\n2NhYvfzyy4bidMjNzdVnn31W6rb5vAcAAABCE4U3AAAAAAAEuaysLMPbVq1a1cRIAq9169aqWbOm\npJIH/J0HQu12uxYsWOCXdjMyMrRlyxaXs1c4nmvfvn3h7AxGZ+fx58w88+fPN7zMU+/evf3Wbihp\n3Lixrr76apeD6mZdQ/7gfG5r1aqlRx99NCBxVKtWTaNHjza05JTjb+arr76yILLgkJ6erp9//tnw\nbCmO2UuGDh1qUYTWmzx5ssdtis/mNH78eBMjcu/+++9X48aNJRmf9WbKlCmlbpfPewAAACA0UXgD\nAAAAAECQy8vLM7xtZmamiZEEh169ehka8Jf8V9RipPjCZrMVKbbp0qWLKlSoUPhaSdv7c0msI0eO\naOvWrZI8zyghGS8MuhjdcssthrdNTk42LxAfOAo1Ro8erejo6IDFMWrUKK9mvTlw4ICWLl1qSWyB\nNmnSJLdLvkkXzpT13nvvWRJbIGRlZWnGjBmGigId1/dDDz2k2rVrWxBdycqVK6dx48Z5NevNjh07\ntGbNmlK1y+c9AAAAEJoovAEAAAAAIMh5M7i+b98+EyMJDkaXm/JnUYvR/fTp06fwv8uXL68ePXq4\nnSFHknbu3KmDBw+WOkZPxUHOg97169fXZZddVuo2Q5U3y2xt3LjRxEiMcz5/ERERGjFiRACj+XNG\nkjvuuMNwEZwkffPNNyZGFDy+/PJLr4pMhgwZoqZNm1oQWWD8+uuvOnfunCTjhUgPPPCAJbG5M3To\nUNWpU0eS51lvHH744YdStcnnPQAAABCaKLwBAAAAACDI1ahRw/C2P//8s4mRBAdPhTfOA7upqak6\ncOBAqdtcsGCBy1lrHCIjI9WtW7cir1u53JSRfTgG+svybDfSn4VHngbUHcVbjlmEgoHj/N1www2q\nXr16oMPRyJEjDW8bbMt2mSU1NVU7d+6UZGzmKUkaM2aMmSEF3K+//mpoO8f13b9/fzVo0MDkqDwr\nX7687r77bsPn0W63a968eaVq08jnvSM3zZo1q1RtAQAAAPAfCm8AAAAAAAhysbGxHrdxDMR98803\nOnbsmAVRBU7jxo0Lj4mRWQhKW9SyZ88e7d69W1LJA+mOweJu3bopMjKyyGtWF94YnZWhrBfeSH9e\nR64G1J2fP336tF9mJPKnwYMHBzoESVLLli0LZ2pxt9yU47Vt27Zd9Plp5syZHrdx5Gvpz2PYvn17\ns8MKqHnz5hnOTZJ08803mxiNd4YOHWpoO0f/1q1bp1OnTvncnqfP++KzpZW20AcAAACAf1B4AwAA\nAABAkGvZsqXb150H4k6dOhUUS3SYLSkpyfAsBKUdmDRaFFNSMUvbtm0LZyZxNWOOP2YCSUtL0969\neyUZm2Wjd+/epWrvYlC7dm3D2zqObaA4Xzvly5dX//79AxhNUYMGDfJquank5GTzggkCc+bMMbyt\nzWbT7bffbmI0gXfo0CGlpqZKMrbMVLly5XTttddaEpsRrVq1Unx8vCT3xWUOBQUFWrJkic/tefq8\nd3B8dtx///3KzMz0uT0AAAAA/kHhDQAAAAAAQa5Lly4et3HMKmG32/Xtt99qxIgRKigosCC6wDAy\nY4u/ilpKU3hjs9nUq1cvlzPlOKSnp2v79u2mxeg8YNysWTPVrVvX57YuFjExMYa3PXz4sImRGOP4\nG+/YsaMqVqwY6HAKeVvEtW7dOpMiCQ4pKSleze5yzTXXmBhN4G3YsMHQdo7ru3379qpatarJUXmn\nX79+XhWXbdy40ee26tSpo7i4OEnGCn3S0tLUs2fPi34mKQAAACDYUXgDAAAAAECQi4uLU4sWLSS5\nX1rJeUmXzz77TImJiVq1apUlMVrN02C/88Dk4cOH9dtvv/nc1oIFC1zOVuNQpUoVdezYscT3W7Hc\nlJH3Oq4Plpn6U7ly5Qxve+jQIRMj8U5iYmKgQyiic+fOhX8LRgpOtmzZYnZIAbNv3z4dP35ckrHZ\nXerUqVOY2y9Wmzdv9mr7bt26mRSJ77yNadOmTaVqb+DAgR4LfRz53Gazaf369WrTpo2mTZtWqnYB\nAAAA+I7CGwAAAAAAQsCtt95q6Bf3dru9cEBuzZo1SkxMVN++ffXjjz8qLy/Pgkitcckll6h58+aS\njA32+1rUsmXLFmVkZEgqeSDdcax79uzpMo4+ffoYaqs0hTcLFy40PMtGMBfeZGdnKyUlRdOmTdML\nL7yg4cOHa8CAAerUqZPi4+NVu3ZtValSRdHR0QoPD1dYWJjPj8mTJ0sytjTX0aNHze66YZ06dQp0\nCEVUrVpVTZo08bidYwaqrVu3WhBVYKxdu9bQdo680aNHD5MjCjxvC2+MzPBmNaPFbo5rvLSFN7fe\nequh7Zw/7w8fPqxhw4apRYsWmjhxok6fPl2qGAAAAAB4h8IbAAAAAABCwL333qvIyEhJxgpNnH8N\nP3/+fF1//fWqV6+e7r//fs2ZM0c5OTlmh2y6pKQkw8t/+FrUYvR97oprLrvsMjVo0EBSyefOMVib\nnJzs1XImDps3by4sDCnp/c5thoWFqVevXl63YZazZ8/qhx9+0AMPPKAOHTqocuXK6tSpk4YNG6bx\n48drypQp+uWXX5SSkqK9e/fq+PHjysrKUm5uriQVXuO+Pow6f/68WYfAawkJCYEO4QIJCQmGr929\ne/cWnr+LjbfLxbVu3dqkSIJHamqqV9sH4wxAjRo1UnR0tCRjn79paWmlaq9bt25q165dkVns3HH8\n7dlsNu3YsUMPPPCA6tatq8GDB2vq1Kk6ceJEqeIBAAAA4BmFNwAAAAAAhIBatWrp0UcfLTLA5onz\nr+FtNpuOHz+uSZMm6S9/+Ytq1KihAQMG6M0331RKSory8/PN7oLfGZm5pbRFLUYLbzzF4qpIyPm5\n06dPKyUlxbsAZXyZKUlq27atqlSp4nUb/pSfn6/vvvtO11xzjWrWrKnBgwdr4sSJWr9+vfLz870q\nknFc474+jMrOzvZX973m3HebzWZodhmrNW3a1O3rzsfabrfr8OHDZocUEPv37/dq+1atWpkUSfBI\nT093+3lVvDDwsssusyIsrzVt2tRtznB+LT8/v3CmNF+9/PLLhf/tzee9Y/ucnBz98MMPuv3221W7\ndm0lJibqmWee0fz583X27NlSxQYAAADgQhTeAAAAAAAQIp555hk1btzYq+Ib6cIBOZvNpvPnz+uX\nX37RmDFj1KlTJ1WpUkW9e/fWM888o59//lnHjx83rR/+0rNnT4WF/Xlro6Rj4TwQeubMGa1Zs8ar\n/efn52vRokUuZ6lxqFevnpo1a+Z2X0aXd/JlZh6j77HZbAFdZur8+fN69dVX1aBBAw0ZMkSzZs1S\nbm7uBcU1ZhTOlFYgC2+c1apVS1FRUYEO4wKNGjXyavtDhw6ZFElgeVt4E6xFJv7kTZFV3bp1FRER\nYWI0vouPj/dq+/T09FK1169fPw0dOtQvn/d2u12rVq3Syy+/rL59+6pq1arq2LGjHn74YU2bNk17\n9uwpVawAAAAAKLwBAAAAACBkxMTE6KuvvlKFChW8HoyTdEHBgnPBw/nz55WcnKyXX35Z1157rWrV\nqqXmzZtr5MiRmjJlig4ePGhKn0qjSpUq6tChg2nLTa1Zs0aZmZmSSl7CyTGbkJFilt69e5sSY35+\nvhYvXmz4OghU4c1HH32k+Ph4jR07VkeOHHFbaBOM8vLyAtq+47jUrl07oHG4UqtWLa+2v1gLbw4c\nOODV9nXr1jUpkuBw7Ngx/fHHH5JKzqEOjtfq1KljSVy+8DY2f1zj//73v4vMtOPNEnnuPu8LCgq0\nbt06ffDBBxo2bJji4+NVr1493XzzzfrXv/6lLVu2lDp2AAAAoKyh8AYAAAAAgBDSvn17TZ8+XVFR\nURcsJeWNkoodii/ts3PnTv3nP//R8OHD1aBBA7Vq1UpjxozRqlWrzOiaT7wpJPG2qMVfy0xJfw6w\nN2/eXFLJxVKOWQmWL1+u3NxcwzGuXr3abXGQc1sRERHq0aOH4X37w4EDB3T11VfrvvvuU0ZGRonF\nNqEgGOK02WxeF7hYxduCoJMnT5oUSWCdPHnS8LJKERERqlatmhVhBczp06cNb2uz2YK2sEzy/ho/\ndepUqdusXLmy5s6dq7i4OEnyqeDW8T5Pn/dHjhzR9OnTNWrUKLVu3VqXXnqpRowYoZ9++smrzyQA\nAACgrKLwBgAAAACAENO/f3/9+uuvqlmzZmHBhuTdr+GLc7WMj/PA3LZt2/Tmm28qMTFRcXFxGjt2\nrH7//Xe/9csXRmaScS5qycnJMbxvo4U3ffr0MbRdUlKSy5lzHLKzs7V06VJjAcpYjI7irC5duli6\nTNHKlSvVsWNHzZs374KCGyOKDwyb8Qg1lStXDnQIJfI2rmBZusvfzp8/b3jbYD2X/uTN8ZD+nMUs\nWHkbm7+u8djYWK1YsUJt27Ytl/8kwwAAIABJREFU/CzzteDWwcjn/eHDh/XZZ59p0KBBql27tkaM\nGKFly5b5pU8AAADAxYjCGwAAAAAAQlC3bt20ceNGJSUlFRmMcx6QK21hgbuBuQMHDujVV19V06ZN\n1b9/fyUnJ/uhV97r3r27IiMjC2MrzrnIIycnx3BRS3Z2tlasWOFydhqHZs2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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "output_file_name = \"figs/dblp_sparsity.png\"\n",
    "plot_sparsity_experiments(res, algos, [0., .02, .04, .06, .08], output_file_name, 0, 600, 1e-7, 1e-4)\n",
    "Image(filename=output_file_name)"
   ]
  }
 ],
 "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": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}