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sim-dist-exp-reverse.pynb
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{
"cells": [
{
"cell_type": "code",
"execution_count": 64,
"metadata": {},
"outputs": [],
"source": [
"from sde import *\n",
"import future\n",
"from future import *"
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {},
"outputs": [],
"source": [
"# given an edge weight, returns a possible reversed edge weight\n",
"def reverseEdgeWeight(conditional_prob):\n",
" '''Accepts a conditional probability value P(A|B), returns P(B|A) and a pair of values for P(A) and P(B) that\n",
" would be consistent with the given conditional probability and its reversed conditional probability.)'''\n",
" prior = random.uniform(0,1)\n",
" marginal_prob = random.uniform(0,1)\n",
" \n",
" likelihood = (conditional_prob*marginal_prob)/prior\n",
" known_conditional_prob = (prior*likelihood)/marginal_prob\n",
" \n",
" if (known_conditional_prob != conditional_prob):\n",
" return reverseEdgeWeight(conditional_prob)\n",
" else: return likelihood\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {},
"outputs": [],
"source": [
"def Reverse(tuples): \n",
" new_tup = tuples[::-1] \n",
" return new_tup \n",
"\n",
"# returns the reverse of a weighted graph\n",
"def reverseWeightedDG(dg):\n",
" rdg = nx.reverse_view(dg)\n",
" rdg_weight = 3\n",
" \n",
" for e in rdg.edges():\n",
" #dg_edge = Reverse(e)\n",
" dg_weight = dg[e[1]][e[0]]['weight']\n",
" \n",
" rdg_weight = reverseEdgeWeight(dg_weight)\n",
" rdg[e[0]][e[1]]['weight'] = rdg_weight\n",
" \n",
" return rdg"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Tests"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [
{
"data": {
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69Gk4OjqKXZJRMdUOjx7nbxERNQ0Dj4HSaDR49913sXr1anz88ceIjIwUuySjZModHj39/K2wsDAUFRVhxYoVkEgkYpdFRGRQuIbHAF24cAFDhw7F4cOHcfLkSYadh2DqHR49zt8iImocA48BEQQBa9aswdChQ/HnP/8Z3333Hdzd3cUuy6iZ2rb0xnD+FhFRwxh4DERubi7Gjh2Lr7/+Gj/++COio6N5W6IFyOVys+jw6HH+FhFR/Rh4DMCmTZvQv39/DB48GIcPH4aPj4/YJZkMc+rw6HH+FhFRXVy0LKLr16/j+eefx88//4xdu3Zh4MCBYpdkcmSyO7/FtVotpFKpyNW0Hf38raVLlyI4OBj79u2Dp6en2GUREYmGHR6RHDhwAP7+/ujQoQN++eUXhp1WZC4Ll++ln781Z84cDBs2DOnp6WKXREQkGnZ42lhlZSX+8Y9/ICEhAV988QXCw8PFLsnk6bem29rail2KKF5++WU4OTkhNDQUO3fuRGBgoNglERG1OXZ42tDJkycREBCA/Px8nD59mmGnjZhrh+dus2bNQkxMDCIiIpCUlCR2OUREbY6Bpw1oNBosX74cY8aMweuvv46NGzeiY8eOYpdlNszh8MGm4PwtIjJnvKXVyjIyMjBz5kzY2tri5MmT8PDwELsks8MOzx84f4uIzBU7PK1EEASsXbsWgwcPxrRp07Bv3z6GHZGY49b0xujnb7311lt4//33xS6HiKhNsMPTCvLz8/Hss88iPz8fBw8eRO/evcUuyazxllZdnL9FROaGHZ4WtmXLFjz22GMYMGAAjh49yrBjAHhLq353z9+aO3cuNBqN2CUREbUaBp4WcuPGDcyaNQuLFi3Ctm3b8Pbbb8PKykrssgjs8DRGP38rMzMTUVFRnL9FRCaLgacFpKSkwN/fHzY2Njh16hSCgoLELonuwg5P4zh/i4jMAQPPQ1Cr1Vi4cCGmT5+ONWvW4NNPP0W7du3ELovuwQ7P/XH+FhGZOgaeB3Tq1CkMHDgQV65cQVpaGiIiIsQuiRrADk/T6OdvjR49GsHBwcjOzha7JCKiFsPA00xarRb/+te/MHr0aLz66qvYtGkTOnXqJHZZ1AhuS286zt8iIlPFbenNcOnSJfz5z3+GTCbD8ePH0bVrV7FLoibgLa3me/nll9GxY0fO3yIik8EOTxMIgoAvvvgCgwYNwpNPPokDBw4w7BgR3tJ6MM888ww+/fRTzt8iIpPADs99XLt2DXPnzkVmZiaSkpLw6KOPil0SNRM7PA9u8uTJcHR0RGRkJNauXYsnnnhC7JKIiB4IOzyN2L59O/z9/dG3b1/89NNPDDtGih2ehxMSEoI9e/YgOjoaX375pdjlEBE9EHZ46lFeXo6///3vSE5ORkJCAoYOHSp2SfQQ2OF5eAEBAUhOTkZ4eDhKSkqwcOFCsUsiImoWdngA/N///R9++eUXAMCPP/4If39/WFhY4NSpUww7JoAdnpbh4+ODH3/8EV9++SUWL14MQRDELomIqMlMssNTVFGFhBM5SM8vQ5laAwdrGXxdHPBUgAec7OS1rj137hxeeeUVdO7cGZGRkdi4cSPWrl2LCRMmiFQ9tTS5XM6RCS3Ew8MDBw8eREREBObNm4eYmBhIpVKxyyIiui+TCjxp2dexOjkDKRcKAQBVGl3Nc9ayfKzafwEhPs6IHtED/p6OAIAXXngBWq0Wubm52LJlC9LS0uDs7CxK/dQ6rKyscOPGDbHLMBmdOnXCgQMH8OSTTyIyMhIbNmyAXC6//ycSEYnIZG5pxaZewbTPUvH9uQJUaXS1wg4AqP/32L7fCjDts1TEpl5BcnIyUlJSoNPpIAgCcnJyam5tkengwYMtz97envO3iMiomETgiU29guWJ51BZrcX9lhUIAlBZrcXyxHOY8c8YVFdXQyqVwt3dHUOHDuW6BBPERcutQz9/q3v37py/RUQGz+gDT1r2dSxPTEdlte7+F9+lslqHdsFPY9eRX1FVVYWcnBykpKQgPDy8lSolsXDRcuuRSqVYu3Yt528RkcEz+jU8q5MzoNZo6zyurSxHceL/QX3lF1jYOKDDiD+jXd+QWtdU64Cdv6sxbjAXXZoydnhal37+lpOTE4YNG4a9e/fC19dX7LKIiGox6sBTVFGFlAuF9d7GKtn3KSRSS3gsiMXtgku4lvAmLDt3g5XzHyMhBAFIOl+I4oqqOru3yHSww9M2OH+LiAyZUd/SSjiRU+/juttq3Dp/BI7DlbCwsoG1Z1/Y9hiEm2frzgOSAEg4Wf/rkGlgh6ftcP4WERkqow486flldXZjAYCm5CokFhaw7Ohe85hl526oLsysc61ao0N6HneYmDJ2eNrW5MmTER8fj6ioKGzdulXscoiIABj5La0ytabex3XVlZDIbWs9ZiG3he52ZQOvU93itZHh4Lb0tqefvzV+/HiUlpZi9uzZYpdERGbOqAOPg3X95VtY2kCoqh1uhKpbsLCyaeB1LFu8NjIcvKUlDs7fIiJDYtS3tHxdHCCX1X0Lso7uEHRaVJdcrXns9rXLsLxrwbKetcwCvq72rVoniYu3tMTj4+ODQ4cOcf4WEYnOqAPP1ACPeh+3sLKGrc9gXD+0HrrbaqhzfsOtjGNo1ze0zrUCgKkD6n8dMg3s8IjL09MTBw8exA8//IB58+ZBq617jAQRUWsz6sDTyU6OEb2cIZHUfa5jWDQEzW3kfDwDRTveh1NYdK0t6QAgkQChPs7ckm7i2OERn37+1uXLlxEZGcn/H0TU5ow68ADAX0N6wFpW9+BAqY09Ok95DV4vb4ZH9Fd1Dh0EAGuZFNEhPdqgShITOzyGwd7eHrt374ZEIuH8LSJqc0YfePw9HbE0whc2ls17KzaWFlga4Qs/D8dWqowMBTs8hkMulyMuLg7du3fHyJEjOX+LiNqM0QceAFAGeWNpRG/YWErrvb11N4kEsLGUYmlEbyiDvNukPhIXt6UbFv38rZEjR3L+FhG1GaPeln43ZZA3/DwcsSY5A0nnCyHBnUMF9axlFhBwZ81OdEgPdnbMiFwuZ4fHwEgkErz33nvo1KkTgoODsXfvXvj4+IhdFhGZMJMJPADg5+GIGGUgiiuqkHAyB5v2HUalVoI/PdYPvq72mDrAgwuUzRA7PIZLP38rJCQEu3btQkBAgNglEZGJMqnAo+dkJ8f84Y/g5vHtyMrKwqqop8UuiUSkDzyCIEByv3ue1OaeeeYZdOjQAWPHjkVcXBxCQ+seH0FE9LBMYg1PQ9q1a4ebN2+KXQaJTCqVwsLCAhpN/aNISHyTJ09GXFwcoqKisG3bNrHLISITZJIdHj0GHtLTb023tOQYEUMVGhpaa/7WM888I3ZJRGRCGHjILOi3prdr107sUqgRd8/fKi4u5vwtImoxDDxkFnj4oPHQz98KDw9HUVER3nvvPa69IqKHxjU8ZBZ4+KBx4fwtImppDDxkFrg13fhw/hYRtSQGHjILPHzQOHH+FhG1FAYeMgvs8Bgvzt8iopbAwENmgYuWjRvnbxHRwzL5XVq3bt3iCbvERcsmQD9/y8nJifO3iKjZTDrwyGQyWFpaQq1Ww8bGRuxySETs8JiOhQsXwsnJyWznbxVVVCHhRA7S88tQptbAwVoGXxcHPBXAWYFEjTHpwAP8cVuLgce8scNjWsxx/lZa9nWsTs5AyoVCAECVRlfznLUsH6v2X0CIjzOiR/SAv6ejWGUSGSyTXsMDcB0P3cEOj+kxp/lbsalXMO2zVHx/rgBVGl2tsAMA6v89tu+3Akz7LBWxqVfEKZTIgJlNh4fMGzs8pskc5m/Fpl7B8sRzqKzW3fdaQQAqq7VYnngOAKAM8m7l6oiMBwMPmQVuSzddpjx/Ky37OpYnpjcp7NytslqH5Ynp8PNwhJ8Hb28RAbylRWaCt7RMm37+1hdffIHFixdDEASxS2oRq5MzoNbUHatRdmIn8r7+OzLfn4yiXavq/Vy1Ros1yRmtXSKR0WDgIbPAW1qmz9PTE4cOHTKZ+VtFFVVIuVCI+rKbzM4J7YdEwc5vdIOfLwhA0vlCFFfw9z0RwMBDZoIdHvNw9/ytqKgoow65CSdyGnzO1mcIbHsNhoWNQ6OvIQGQcLLh1yEyJww8ZBbY4TEf+vlbAIxi/ta5c+fw73//G1evXq31eHp+WZ3dWM2l1uiQnmfY75+orTDwkFlgh8e8GNP8rZMnT2Lp0qV45JFHMHToUMTFxaGyshJlak2LvH6ZurpFXofI2HGXFpkFKysr/j4wM/r5W0uWLEFwcDD27dsHT09PUWuqrq5Gfn4+cnNzcfXqVeTm5uLo0aOQSCSoqqrCkSNHcOTIEfTs2RMRb8e1yNd0sLZskdchMnYMPGQW5HI5SktLxS7DaJjK+IK2mr+l0+lQVFRUK8jU93FJSQk6d+4MNzc3uLu7w83NDZ06dYKFxZ1mu1wuR2RkJF5++WW8v+sUJNr2EKQPHlisZRbwdbVvqbdJZNTMIvDk5eWJXQaJjGt4msZUxxc86PwtQRBQVlbWYIDRf5yfnw97e/taQcbNzQ0DBgzA+PHjax7v3LkzpFJpra9RUVGBjz76CG5ubggLC8OJEycwevRohE+cCmnnCGjq2aUl6LSA/oegg6C5DVhIIbGo/doCgKkDPB70l43IpJhF4GGHh3jw4P3dOdE3HWqNtt6t0Or/hZ99vxXg4IUiLI3wNaqTfO+evxUfH49BgwYhLy+vVni5lFuI0+U2KNLIcUsjoPJGCbTFWehQeh4ezo41QaZ79+4IDg6u+bmrqyusra2bVY9arcYPP/yA7du3o2PHjrC3t0fnzp0RExODQYMGQSqVYt664/j+XEGd/x83Dm/EjcOqmp/fPJuE9kMVcAyeUfOYRAKE+jgbVUeOqDUx8JBZ4KLlxpnS+AKNRoOCgoI6XRj9z+3s7PD4449DKpXWdGPad/fDddc/4ZqsByQdJdAIEgCAteud20ICgJ4t0NkqKirC7t27sWPHDuzfvx/+/v6YOHEijh49il69etW5/q8hPXDoYhEqq2ufKeQYPKNWuKmPtUyK6JAeD1wrkalh4CGzwFtaDTOW8QWCIKC4uPi+t5cKCwvRqVMnuLq6wt3dvSbUDBkypObjwsJCKJVK/POf/4Rl79Dana17uilN6WxpNBr89ttv8PPzq1P3xYsXsX37duzYsQNpaWkYNWoUJk6ciJiYGDg7Ozf6nv09HbE0wrfJYVTPxtICSyN8OVaC6C4MPGQW2OFpWEPjCwDg5m8puH5YBW1ZIaTtOsBp3N9h7flozfP68QUxysCHqqG8vPy+QSYvLw+2trY1t5H04eXRRx9FeHh4zeMuLi6Qye7/V1tKSgrC//o2ZAM7QdOEEzoa6mxVVVVh4sSJSE5ORmlpKeRyOY4dO1YTcm7cuIEJEyZg8eLFePzxx5t960v/dRq73agnkdzp7Bjb7UaitsDAQ2aBHZ76NTa+oPLyLyhN/hrOkxbByq0XtBUlda65e3xBfWtFqqqq6qyTqe9jrVZbE2D0//Xy8sLgwYNrgoybmxtsbGxa7L2rbbtAPng6qupbFdyIuztbPTpa1Sw0lkqlmDRpEk6fPo0uXbpg4sSJ+PbbbxEQEFCzC+tBKYO84efhiDXJGUg6XwgJ/ug8AX/cdgv1cUZ0SA92dojqYRaBp6KiQuwySGTs8NSvsfEFN35cj/ZDFZC7+wIAZPad6r1Op9Xi5dUJ8Lp5vs6amRs3bsDFxaXO7qW+ffvW6tQ4ODhAIpG0yntsyOrkDNzW1g07RTs/gPpKGnTVakjbdYBD0BTY+4fXukat0WLV3t/ww1sK5OTkQKe7Ez5KSkqQmpqKbt26tXi9fh6OiFEGoriiCgknc5CeV44ydTUcrC3h62qPqQOM68gAorZmFoGHHR5ih6d+DY0vEHRaVOVlwKbHIFyNmQtBexu2PYPgGDobFpa1/1GtFiQ4n18O7/YWCAoKqhVk7j5jxpA01tlyCHoKTmP/BonMEtXF2cjf8A9YdXkEcpc/FgALAnDo9xKU3rpzinG7du0gCAIyMjLg7e3dqrU72ckxf/gjrfo1iEwRAw+ZBW5Lv0MQBJSWliIzMxNZWVk4fa4KQLs61wJoo9EAACAASURBVGlvXgd0Gtw6fxhdlP+CxEKKws3v4MaROHQYMbPO9X0eC8Abfx7YBu+gZTTW2bJy7nrXzySQQAJNaV6twAMAMqkU728+hGeHdEVGRgbOnj2LoqKiNu9UEVHTMPCQWZDL5WbR4amurkZubm5NoMnKyqr5WP9fqVSKrl27wsvLC2qfCYBV3cAj+V8Xxz5gAmR2He98PHByg4HH2MYX3G8wZ/HeNbj56wEImipYdXkENo/UXZStH8wpk8ng6+sLX1/f1iyZiB6S2QQeQRD4nZcZM5UOT1lZWa3wcm+gKSgoQJcuXeDl5QUvLy907doV/v7+mDBhQk3Iad++fc3rxaT8jlX7L9T5x19qbQdpA2t27mWM4wvuN5jTKTwaHUfPR9XVdKizfoWkgfEOHMxJZDxMPvBYWVlBIpHg9u3bkMu5oM9cGcOiZa1Wi/z8/EYDTXV1dU1w0QeasWPH1nzs7u4OS8umd1umBnhg1f4L9T5n128Uyk/sgk33AEAqQ/nx7bDtUfe2lTGOL3Cwvv9ffRILKaw9++Lm2SSU/5IIh8CJ9byOcXW2iMyZyQce4I8uDwOP+TKERcu3bt1q8DZTVlYWrl69ig4dOtQKNL169cKoUaNqHuvYsWOLdio72ckxopdzveML2g+dBm1lGa7+dz4kMku08w1G+yFRta4xxvEFeXl5KLyYBmgdgaYM5tTpoCmtO49PJtGhq6NZ/BVKZBLM4k+rnZ0dbt68iY4dO4pdComktTs8giDg2rVrjQaa8vJyeHp61oSXrl27IjQ0tOZjDw+PZh9K1xIaGl8gkcrgFB4Np/DoBj/XWMYXVFRUYOvWrYiNjcVPP/2EiCejIHOZgHuX8WhvXoc6Mw02Pf4EicwK6iuncPNcCjpNeKXOa2q1OrwxcwxShgyEQqHA+PHjYWtr20bviIiayywCDxcu08N2eKqqqpCdnd3g7abs7Gy0a9euzu2mYcOG1Xzs7OxskFu0TXV8gUajwf79+xEbG4tdu3YhODgYs2fPxtatW2Fra1v/YE6JBOW/7EHx3jWAoIOsfWd0GDkXtr2Car22RAKE93PHivNnsHXrVnz++eeYN28eJkyYAIVCgdGjRzfr1iIRtT6J0Mg55YGBgcLx48fbsJzWMWDAAHz22WcICAgQuxQSSXl5Odzc3FBeXl7nuXu3atcXaIqLi+Hu7l4n0Oj/6+npiXbt6u52Mib3m5auZ8jjCwRBwIkTJxAbG4uNGzeiW7duUCqViIyMrDO3Ki37OqZ9llqns9UUNpZSxM0LqhX28vPzsWnTJqhUKly8eBFTp06FQqHAsGHDDDLoEpkiiURyQhCEemfdsMNjwooqqpBwIgfp+WUoU2vgYC2Dr4sDngowrxNZ9Vu1KysrERsbW2+gkclkdUJMYGBgzccuLi6QSqViv5VWZczjCy5fvoz169cjNjYWGo0GSqUShw4dQs+ePRv8nJbubLm4uGDBggVYsGABLl++jI0bN+L5559HaWkppk2bBoVCgf79+3O3KJFIzKLDM2bMGPztb3/D2LFjxS6lTaRlX8fq5AykXCgEgFpbjvX/aIX4OCN6RA/4exrOP1oPqqysrN4Qc+9W7ZycHCgUilrBRv/j7q3aBKMYX1BSUoL4+HjExsbi/PnziIqKglKpxKBBg5oVKlq7s3XmzBmoVCqoVCpYWVlBoVBAoVCgV69eTX4NImqaxjo8ZhF4pkyZAoVCgalTp4pdSqszhdsSd9Nv1W4s0Oi3atd3u8nLy6tmq7aVlRXKy8u5W8+IqdVq7N69G7GxsUhKSsKYMWOgVCoRHh7+UGtmTudcb/XOliAIOHbsGFQqFeLj4+Hu7g6FQoGoqCh4eBjXtn4iQ8VbWmZyS+tO2Glae14QgMpqLZYnngMA0ULPzZs3kZ2d3eC5M7m5uejYsWOtEOPj44OwsLCaxzp06NCk7+j1hw8y8BgXnU6HQ4cOITY2Fps3b0b//v2hVCrx9ddft1hnri0Gc0okEgQFBSEoKAgrV65EUlISVCoV/Pz84OfnV/NNmZOTU4u8JyKqjYHHRKRlX8fyxPRaYSfrw9odLUFzG/b9I9Ax7LmaxyqrdViemA4/D8c637k+7OnUd2/VbijQ3Lx5s9ZWbS8vLzz++OM1H3t6erZYQDGGwwfpD2fPnkVsbCzWr1+PDh06QKlU4vTp063aDWmrwZxSqRSjRo3CqFGjsGbNGuzZswcqlQqvvvoqgoODoVAoMGnSJNjZ2bV6LUTmgoHHRKxOzoBaU3u3idfLCTUf626rkfOxEra+w+p8rlqjxZrkDMQo73QBi4qKMHfuXOTl5SE1NbXBr1nfVu27g012djbs7Ozq3GIKDg6u+bhz585ttojTEA4fpMbl5uZi48aNWLduHQoLCzFjxgzs2rULfn5+YpfWauRyOSZPnozJkyejvLwc27dvx4YNGxAdHY2xY8dCoVBgzJgx7EwSPSQGHhNQVFGFlAuFja7ZuXX+MKS27SH37FvnOUEAks4XoriiCj/s2YG5c+fi1q1bsLa2xi+//NJgoCkpKYG7u3utQDN48GBMmzatpjtjSFu12eExTOXl5TWHAv7888944oknsHLlSgwfPtzkd8bdy97eHkqlEkqlEkVFRUhISMDKlSsxe/ZsPPHEE1AoFAgJCTG7XxeilmA2gaewsFDsMlpNwomc+15T8esBtHv08Qa7KRIAg6e/iIxdMdAvZK+ursbMmTPh7e1dE2gGDhxY050xtq3a7PAYjurqanz//feIjY1FYmIihg8fjjlz5mD79u2wsbERuzyD0KlTJzz33HN47rnnkJ2djbi4OLz66qvIy8tDZGQkFAoF/vSnP3GbO1ETmU3guXLlithltJr0/LI6067vprlxDVXZZ+AU8UKD16g1Onj6DkBVmicKCgpqQs+WLVsaPcvEmLDDIy5BEPDzzz8jNjYWcXFxeOSRR6BUKvHRRx+hU6emTWY3V56enli4cCEWLlyI8+fPQ6VSYebMmdBoNDXb3Pv2rdu9JaI/mMXxn6Z+S6tMrWn0+YozP0Du0QeWji6NXterrz8yMzNx5swZvPrqq+jatSt0uqYfyGbo2OERx6VLl/D222/D19cXM2bMQKdOnXD48GEcOXIE0dHRDDvN5OPjgzfeeAPp6enYtGkT1Go1wsPD4efnhxUrVpj0N3dED4OBxwTIJY0fjX/zzA+we/Tx+76Og/Wdc0x69OiBt99+GxcuXICPj0+L1GgI9NvSqfUVFxfj008/xdChQxEUFIRr167h22+/xYULF7Bs2TL06GH4A0cNnUQiwYABA/DBBx8gKysLn3zyCa5cuYKBAwdiyJAh+OSTT1BQUCB2mUQGg4HHCOl0Opw8eRLvvPMOhgwZgs1ffASJrv4ujzrnHLQVxfXuzrqbtcwCvq72rVGuweAtrdZVWVmJTZs2YdKkSejevTsOHjyIJUuW4OrVq/j444+bfQIyNZ2FhQWGDx+OmJgY5Obm4rXXXkNqamrNmVVff/01bty4IXaZRKIyi8Ajl8tx48YN5ObmoqysTOxyHsj169exadMmPPPMM3Bzc8P06dNRUlKCt956C6e2rIWVlVW9n3fzzAHY9hoCC7lto68vAJg6wLRPe+UtrZan0+mQnJyMOXPmwN3dHWvXrsWTTz6J7OxsqFQqjBs3jlPD25ilpSUiIiIQGxuL3NxczJkzB9u2bYOXlxemTJmChIQEVFZWil0mUZsz6UXLBQUF6NatG9RqNQDAy8sLI0eOxN69e0Wu7P4EQcCZM2eQmJiIxMREnDx5EsHBwYiIiMBrr72GRx6pfTjaiF7O+P5cQZ2t6U5jnr/v15JIgLL0o3BzmgwbGxvIZDLIZDJ8/vnnGD9+fEu+LVGxw9Nyzpw5U3MooJOTE5RKJX799Ve4u7uLXRrdxdbWFpGRkYiMjERpaSm2bNmCmJgYzJ07FxMnToRCocDIkSMZSsksmHTg6dy5M/r164effvoJAGBjY4PZs2eLXFXDysvLceDAASQmJmLPnj2wtLTEuHHjsHjxYoSEhDS6XfevIT1w6GIRKqsbX89TH2uZFI97y/C1RlPT9ra0tES/fv0e+L0YInZ4Hs7Vq1ehUqkQGxuL4uJizJgxA4mJiSb3+8RUdejQAc8++yyeffZZ5OfnIz4+Hm+88QZmzpyJp556CgqFAkOGDIGFhVk0/skMmfTvbIlEgpiYGFhbWwMArK2tMWXKFJGr+oMgCEhPT8fKlSsxatQouLm5YfXq1ejduzf279+P33//HR9//DHGjh1737NJ/D0dsTTCFzaWzftfamNpgaURvvjsX69hyJAhkEqlkEgksLKywvfffw+NpvEdYMaEHZ7mKysrwzfffIPRo0ejX79+SE9Px3/+8x9kZmZixYoVDDtGysXFBS+88AJSU1ORmpoKd3d3PPfcc/D29sarr76KU6dOobHB0kTGyKQDDwD0798fYWFhAIBFixZBJhO3qXXr1i3s3r0bzz//PB555BGMHj0a58+fx4IFC5CXl4fvv/8eL774Inx8fJq9wFMZ5I2lEb1hYynF/T5VIgFsLKVYGtEbyiBvWFhYICEhAXZ2dpDL5di4cSM2bNiAPn36QKVSmcT2dHZ4mqa6uhq7d++GQqGAl5cXtm7divnz5+Pq1av4/PPPERISwi6ACenevTuWLFmCM2fOYPfu3ZDJZHjiiSfQp08fvP3228jIyBC7RKIWIWksxQcGBgrHjx9vw3Jax6VLl+Dn54fc3Fw4ODi0+df//fffa9bi/PjjjwgICMDYsWMxbtw49O3bt8V3rpzOuY41yRlIOl8ICe4cKqhnLbOAACDUxxnRIT3qDAxNSUlBeno65s+fDwA4cOAAli5disrKSrz99tuYMGGC0e60mT9/PgYMGFDz3ugPgiDgp59+qjkUsEePHnj66acRGRnJ6d1mSBAEpKamQqVSIS4uDl5eXlAoFIiKiuI6LTJoEonkhCAIgfU+Z+qBp6iiCgkncpCeX4YytQYO1jL4ujjgqQAPONm1zjA+tVqNgwcPYs+ePUhMTERZWRnGjh2LiIgIjBo1Co6Ojvd/kRZQXFGFhJM5SM8rR5m6Gg7WlvB1tcfUAc1774IgYOfOnXjttddga2uL5cuXY+TIka1YeetYsGABevbsiRdeaPjEaXOTkZGB9evXIzY2FhYWFlAqlZg+fXqdRfFkvjQaDZKSkrBhwwZs374d/v7+mD59OqZMmYKOHTuKXR5RLWYZeNKyr2N1cgZSLtyZoVVVT5cjxMcZ0SN6wN/z4QNIZmZmTcBJTk5Gv379EBERgYiICPj7+5vELQCdToe4uDgsW7YMnp6eWL58OQYPHix2WU328ssvw9XVFQsXLhS7FFEVFRUhPj4e69atw6VLlzBt2jQolUoEBgYabfeO2oZarcaePXuwYcMG7Nu3D8OHD8f06dMxceJEgxoUTObL7AJPbOoVLE9Mh1qjbXSCuERyZ4fS0ghfKIO86zwvCEKD/wDcvn0bhw8frgk5BQUFGDNmDCIiIhAWFmbStwGqq6vxzTff4K233oK/vz/eeecd+Pv7i13WfS1ZsgR2dnZYsmSJ2KW0ucrKSuzcuROxsbE4ePAgIiIioFQqMXr0aG5JpgdSVlaG7du3Y8OGDTh69CjGjh2L6dOnIzw8vMFzwYhaW2OBx/jbDve4E3bOobK68bADAIIAVFZrsTzxHGJTr9R6Ljk5Ga6ursjNza15LDc3F1988QWmTJmCzp07Y9GiRbC1tcWXX36J/Px8rFu3DgqFwqTDDnBny/qcOXNw4cIFjBo1CuHh4Zg2bRouXLggdmmNMrdFy1qtFj/88ANmz54NNzc3fP7555g6dSqys7OxYcMGREREMOzQA3NwcMDTTz+NPXv24OLFixg+fDjef/99uLq6Yu7cuUhKSoJW2/xjMohai0l1eNKyr2PaZ6kPdBaNjaUUcfOC4OfhiK1bt2LGjBnQarV48cUXIZVKkZiYiMzMTISFhSEiIgLh4eHo0qVLK7wL41NRUYGPPvoIq1atwsSJE7Fs2TJ07dpV7LLqeO+991BWVob33ntP7FJa1enTpxEbG4sNGzagc+fOUCqVmDZtGtzc3MQujcxAVlYW4uLisGHDBhQUFCAqKgoKhQIDBw7kLVNqdWZzS2veuuP1njZcXZSN4n2f4nZBBqQ27dEh9BnY+gypdY1EAoT36QKfwkNYvHhxzXkt9vb2WLBgAcaOHYugoCDRt7UbstLSUnzwwQeIiYnBjBkzsGTJEri4ND6hvS19+OGHuHr1KlauXCl2KS0uJyen5lDA69evY8aMGZgxYwb69u0rdmlkxtLT06FSqbBhwwYIggCFQoHp06ejd+/eYpdGJsosbmkVVVQh5UJhnbAj6LS4tvlt2PYYCM+/qdBxzPMo2vUhqkuu1r5OAA6cu4aFS9+AVqutCTa3b9/GG2+8gWHDhjHs3EeHDh2wfPlynDt3DlKpFH369ME//vEPlJSUiF0aANM7eLCsrAxfffUVRo4cCT8/P1y4cAEfffQRLl++jHfffZdhh0Tn6+uLN998ExcuXMDGjRtx69YtjBo1Co899hj+9a9/ITMzU+wSyYyYTOBJOJFT7+PVxdnQVpTAfuBkSCyksPH2h9y9D26e+aHOtVILCVZuPYKkpCSsXLkSCoUC/fr145ThZurcuTNWrVqFtLQ0FBcXo1evXnjnnXdQXl4ual2msIbn9u3b2LlzJ6KiouDp6YkdO3YgOjoaubm5+OyzzzBixAiT2BFIpkUikSAwMBAffvghsrKy8J///AeXLl1CQEAAhg0bhtWrV+PatWtil0kmzmT+ZkzPL6u19bxGvXfsBNwurPudhVqjw5Xr1QgODsaCBQvwwQcfYPbs2SZxyrAYPD098d///hdHjx7FuXPn0KNHD6xatapmmGtbM9YOjyAIOHr0KP7617/C3d0d//73v/H444/j8uXL2Lp1K6ZMmVIzPoXI0EmlUoSEhGDt2rXIzc3F4sWLceTIEfTq1QtjxozBN998g7KyMrHLJBNkMoGnTF3/zCdLJw9Ibduj7NhmCFoNKi+fhDrrDARN/d/pF5XdxGeffYbAwEB0794dCxYswG+//daapZu8nj17Yv369di/fz9SUlLQs2dP/Pe//0V1dXWb1mFsHZ6LFy/ijTfeQM+ePfHMM8/A1dUVx44dw6FDhzB//nwe+kZGz8rKCuPHj8f69etx9epVzJo1C1u2bIGnpyemTp2KzZs3i/YNEpkekwk8Dtb1r6+RSGVwnvIaKn8/jpyPn0bZT1vRrvcwSO071Xv9/j07MW/ePJw4cQJVVVWQSCQ4dOgQEhMTce7cOVRWVrbm2zBp/fr1w7Zt25CQkIBNmzahd+/eiI2NbbOtq1ZWVgbf4SksLMQnn3yCoKAgBAcH4/r169i4cSPOnTuH1157Dd27dxe7RKJW0a5dO0ybNg3bt2/H5cuXMWbMGKxZswaurq6YNWsW9u7da1LDjKntmcwurZiU37Fq/4X6b2vdI3/dQrR7dCTs+4+t9bi1zAJzgtywZ+VLOHLkCNRqNSQSCebMmYPMzExcvnwZWVlZcHR0RLdu3Wr98Pb2Rrdu3eDl5cWzTZooKSkJS5cuRVlZGd5++21Mnjy5Vbet7tq1CzExMdi1a1erfY0HcevWLezYsQOxsbH48ccfMX78eCiVSowaNYoL5cns5ebmIj4+HiqVCleuXMFTTz0FhUKBwYMHc70a1WEW29KLKqow9F8/1Bt4bl+7DMuO7hAEHcpPJqL85G64z42BRFY7mMhlFjiy6HF0bGcFlUqF+fPnw9bWFgUFBTXX6HQ65OXl4fLly7V+XLlyBZcvX0ZeXh5cXFxqhaC7f7i6ukIqlbb6r4exEAQBiYmJWLp0KaysrPDOO+9g9OjRrRJ89u3bh/fffx/ff/99i792c2m1WiQlJSE2Nhbbt2/HoEGDoFQqMXnyZNjZ2YldHpFBysjIwMaNG7FhwwbcunUL06ZNg0KhgJ+fH8/4IQBmEniAhs/hKf3hS1Sk7YWg00Lu2RcdR8+HZYfah7Dpz+GJUf7x65Sfn4+zZ882a1BmdXU1srOza4Wgu3+UlpbC09Oz3u5Qt27d4OzsbJZ/cHU6HRISEvD666/DxcUFy5cvx7Bhw1r0a6SkpGDZsmVISUlp0ddtKkEQah0K6OLiAqVSCYVCYVDnFREZOv2fJZVKBZVKBTs7OygUCigUCg6+NXNmE3ha6qTl1lRZWVlze+ze7tDly5dRVVUFb2/vertD3t7ebTZpXSwajQbr1q3Dm2++iT59+uCdd97BgAEDWuS1jx49ihdffBGpqakt8npNpR/lEBsbi/Ly8ppDAfv06dOmdRCZIp1Oh6NHj0KlUmHTpk3w9vaGQqFAVFQUXF1dxS6P2pjZBB7g7llaTd9KbmNpgaURvesdINrWysrK6g1C+h+WlpYNrh/y9vaGra2t2G+hRVRVVeGzzz7Du+++i6FDh+Ktt9566NNZT548iTlz5uDkyZMtVGXDrl+/js2bNyM2NhanT5/G1KlToVQqMXToUK47IGolGo0GBw4cgEqlwvbt2zFgwAAoFApMmTIFHTp0ELs8agNmFXiAlpuWbmgEQUBxcXGD64cyMzNrFlTX1yHy9PQ0uinGN2/exCeffIIPP/wQERER+Oc//4lu3bo90GudOXMGUVFROHv2bAtXecft27exZ88exMbGYt++fRg5ciSUSiXGjRsHuVzeKl+TiOpXWVmJxMREqFQqfP/99wgJCYFCocCECRPQrl07scujVmJ2gQcATudcx5rkDCSdL4QEdw4V1LOWWUAAEOrjjOiQHq1+G6ut3L2gur7uUG5ubs2C6vrWD7m5uRnsguobN27gww8/xOrVqzFt2jS89tprzWpXF1VU4dPvfsGXW75DaPg4OFjL4OvigKcCPOBk9+BhRH8oYGxsLOLj49GnTx8olUpMnTqV5+QQGYgbN25g27ZtUKlUSE1Nxbhx46BQKBAWFmZ03wRS48wy8OgVV1Qh4WQO0vPKUaauhoO1JXxd7TF1wMP9Q2eMqqurkZOT02CHqKSkpGZBdX0dIkNYUF1YWIgVK1bg66+/xrPPPotFixbBycmpwevTsq9jdXLG/+asCbit/eP3uz74hvg4I3pED/h71g2+JSUlcHBwqLM9/Pz581i/fj3Wr18PKysrPP3005g+fTq8vb1b6q0SUSu4du0aNm3aBJVKhfT0dEyZMgUKhQLDhw/n7WYTYNaBh5ru3gXV93aJ1Gp1vUFIjAXVV69exTvvvINNmzZhwYIFePHFF+Hg4FDrmoe9tZmRkYGBAwdiyZIleOWVV3Dt2jVs3LgRsbGxyM7OhkKhgFKpRP/+/UUPgkTUfJmZmdi4cSNUKhUKCwtrtrkHBATwz7SRYuChFlFWVlbvrbKGFlTfHY5aa0H177//jjfffBN79+7FK6+8gr/+9a+wsbF56MXrWVlZCAwMRFFREZydnREQEIAjR45gwoQJUCqVGDlyJA8FJDIhv/32W802dwsLi5pt7r6+vmKXRs3AwEOtrr4F1XeHo/stqH7YE6rPnj2LZcuWITU1Fc++8hbiS9ygvifs5K9fjKrc85BY3FmnJLV3gvu8tbWusbGU4uPJ3TEtbAhKSkogCAIsLCywfPlyPP/88zwUkMjECYKAn3/+GSqVCnFxcejSpQumT5+OadOmwdPTU+zy6D4YeEh091tQnZeXhy5dujS45b6pC6qPHz+OWV8cQYVDN+Ce+/H56xej3aOhsPcPb/DzJRLA4uqvuPTtP2BtbQ2pVIrKykr87W9/w8qVKx/614GIjIdWq0VKSgpUKhW2bNmCvn37QqFQYOrUqXB2dha7PKoHAw8ZvOYsqK6vS6RfUN3YiJGmBB7gzoiR+Bm9UFaYi8zMTGRmZqJv376YPHlya719IjJwVVVV2Lt3L1QqFRITEzF06FAoFApMnjwZ9vb2YpdH/8PAQ0avqQuq7QY+gUKXP0EnqdsNyl+/GNVFWQAAy47ucBz+NKy7+tW5zlpmgRdH98L84TyinojqqqiowI4dO6BSqXDw4EGEh4dDoVBg7NixsLa2Frs8s8bAQyZPv6D6rX2ZOF5c/9bSqtzzsHTyhERqiZvnDqLk+xi4PvMRLDvUPc/nicfcsSrqsdYum4iMXHFxMTZv3gyVSoW0tDRMnjwZCoUCoaGh3NgggsYCDw8dIJPg4OAAPz8/ODg3PIRT7uYDC7ktJDJL2PUbCbl7b1T+Xn+gL1NXt1apRGRCnJycMG/ePCQlJeHXX3/Fo48+iiVLlsDDwwMvvPACjh49isYaC9R2GHjIpDhYN+M7KokEQP1/ETlYP/iOMSIyT+7u7njppZfw888/49ChQ+jUqRNmz56N7t27Y8mSJfj111/FLtGsMfCQSfF1cYBcVve3tU5dgcpLJyBobkPQaVFxNglV2Wdg063uJHZrmQV8XbkIkYgeXM+ePbFs2TL89ttv2Lp1KzQaDcaNG4dHH30U7777Li5duiR2iWaHa3jIpDS0S0t76wauxb+B6pIcQGIBSycPOAYrYdOtf53XkMsscGTR42Y3eoSIWpdOp8Phw4ehUqmQkJCA7t27Y/r06YiMjISLS8O346npuGiZzMq8dcfx/bmCRsdJNEQiAcL7dEGMst4/L0RELaK6uhoHDhzAhg0bsHPnTgQEBGD69Ol48skn23RMj6nhomUyK38N6QFr2YNNfbeWSREd0qOFKyIiqs3S0hJjxozBt99+i9zcXMyfPx+7du1C165dMXnyZMTHx+PWrVtil2lSGHjI5Ph7OmJphC9sLJv321sqaLFkrC/8PPjdFRG1HRsbGzz11FPYsmULMjMzMWnSJHz++edwc3ODUqlEYmIiqqu5c/Rh8ZYWmazmTEuXSy0g/LIFykFeeP3119uuSCKiBhQUXz7YxQAAE2NJREFUFCA+Ph4qlQoXL17ElClTMH36dAwbNgwWFi3XryiqqELCiRyk55ehTK2Bg7UMvi4OeCrAw+jWMnIND5mt0znXsSY5A0nnCyEBoL5rMbO1zAICgFAfZ0SH9EBnmRrDhw9HdHQ0/v73v4tWMxHRvS5fvoyNGzdCpVKhtLQUUVFRmD59Ovr37w+JRPJAr5mWfR2rkzOQcqEQAGpt9tD//Rji44zoET3g72kcnW8GHjJ7xRVVSDiZg/S8cpSpq+FgbQlfV3tMHVD7O5isrCwMHz4cr7/+Op599lkRKyYiqt+ZM2egUqmgUqlgaWkJhUIBhUIBHx+fmms0Gg3WrVuHmTNn1jt4uTkdcGuZFEsjfKEM8m6Fd9OyGHiImuHChQsICQnBqlWrEBUVJXY5RET1EgQBP/30EzZs2ID4+Hi4ublBoVBg2rRpOH36NMaNG4eoqChs2LCh1i2wO2HnHCqr6w5ZboiNpQWWRvQ2+NDDwEPUTKdPn8bo0aPx5ZdfYty4cWKXQ0TUKK1Wi6SkJKhUKmzduhUWFhYoLi6GjY0NIiMj8dVXX0EikSAt+zqmfZaKympts7+GjaUUcfOCDHpjBwMP0QM4duwYJkyYgPj4eISEhIhdDhFRk5SWlqJLly41O7skEglGjRqFffv21XtOmaCpRvG+NVBfOQWdugIyR1d0GDETNo/Uzg3GcE4Zz+EhegCDBg1CXFwcIiMj8dNPP4ldDhFRkxw9ehQajQZyuRyWlpbo0KEDMjIycK2sEikXCuus2RF0WsjsO8Fl+gp4vhgHx+FKFG7/FzTXC2pfJwBJ5wtRXFHVhu+m5TDwEDUiNDQUX375JSZMmMDBf0RkFEJCQnDs2DFkZWWhqqoKxcXFuHTpErb8klvv9RZW1nAMngGZYxdIJBaw7fEnyNp3QVV+Rp1rJQASTua08jtoHQw8RPcxfvx4fPTRRxgzZgwuXrwodjlERI2ytbXFwIED0blz51pb1tPzy+rMGayP9mYpqkuuwsrZq85zao0O6XnlLVpvW5GJXQCRMYiKikJFRQVGjx6NgwcPwsur7l8ERESGrEytue81glaDoh0fwK7fSFg6eTbwOsZ56jMDD1ETPfvssygrK8OoUaNw6NAhdOnSReySiIiazMG68X/yBUGHol0fAlIZOo5+rpHXsWzp0toEb2kRNcOLL76IGTNmICwsDKWlpWKXQ0TUZL4uDpDL6v9nXxAEFCd+BO3N63B+Ygkk0vrDkbXMAr6u9q1ZZqth4CFqpmXLlmHUqFEYO3YsysuN8142EZmfqQEeDT5Xsnc1qouz0XnqMlhYNjw/SwAwdUDDr2PIGHiImkkikeCDDz5Av379MGnSJKjVarFLIiK6r052cozo5Yx7R29pblxDxanvcLvgEnI+fhpZH05F1odTUXE2qdZ1Esmd2YPGNlBUjwcPEj0grVYLpVKJiooKbNmyBZaWxnlfm4jMhzmftMwOD9EDkkql+PbbbyGRSDBz5kxotc3/C4SIqC35ezpiaYQvbCyb98//nVlavgYddu6HgYfoIVhaWiI+Ph7Xrl3Dc889h8Y6pkREhkAZ5I2lEb1hYymtc3vrXhLJnc6OMQwOvR8GHqKHZG1tje3bt+PXX3/FwoULGXqIyOApg7wRNy8I4X26QC6zgPU9u7esZRaQyywQ3qcL4uYFGX3YAbiGh6jFlJSUIDQ0FFOmTMGyZcvELoeIqEmKK6qQcDIH6XnlKFNXw8HaEr6u9pg6wMPoFig3toaHBw8S/X979xobZb3gcfz3TKe0ODO1gOVaKAKew0HEDRc9L+y0u8yUToGWq9xVkIsBIyJGgxBvibe4bwwUzhu5mQ2KgCiXUDpC29mgbvQobFwu4ibsYaMGOeJMofT67Iuzh11DQcBO//M88/0kvGCedvJ71Xwz8595Okj37t118OBBFRYWKhAIaMWKFaYnAcCv6uHP0pLgYNMzko7gATpQr169FI1GFQwGFQgEtHDhQtOTAAAieIAON2DAAFVXV6u4uFiBQEAzZswwPQkA0h7BAyTBXXfdpQMHDigcDsvv92v8+PGmJwFAWuNTWkCS3HPPPfroo480f/58HT58+Nd/AQCQNAQPkET33Xeftm/frhkzZuizzz4zPQcA0hbBAyRZcXGxNm3apPLych07dsz0HABISwQP0AnGjx+vtWvXKhKJ6NSpU6bnAEDa4dAy0EkefPBB1dfXKxwOKxaLacCAAaYnAUDaIHiATrRgwQLF43GFQiHFYjH16tXL9CQASAsED9DJnnzySSUSCYXDYdXU1Kh79+6mJwGA63GGBzBgzZo1KikpUVlZmRKJhOk5AOB6BA9ggGVZevPNNzVixAhVVFSooaHB9CQAcDWCBzDEsixt2LBBvXv31vTp09Xc3Gx6EgC4FsEDGJSRkaEtW7bI4/Fo3rx5am1tNT0JAFyJ4AEMy8zM1Pbt23Xu3DktWbJEtm2bngQArkPwACkgOztbH374ob7++mutXLmS6AGADkbwACnC7/dr//79OnTokF5++WXTcwDAVfgeHiCFdOvWTQcPHlRhYaECgYCeeuop05MAwBUIHiDF9OzZU9Fo9Er0LFq0yPQkAHA8ggdIQf3791c0GlVRUZECgYBmzpxpehIAOBrBA6SoIUOGqKqqSqFQSD6fTxMnTjQ9CQAci0PLQAobPny49uzZo0cffVSHDh0yPQcAHIvgAVLcmDFj9P7772vmzJn69NNPTc8BAEcieAAHKCoq0pYtW1RRUaFjx46ZngMAjkPwAA4RiUS0bt06lZaW6tSpU6bnAICjcGgZcJDp06crkUgoHA6rrq5OBQUFpicBgCMQPIDDLFiwQIlEQqFQSLFYTL179zY9CQBSHsEDONDy5cuvvNJTW1ur7t27m54EACmNMzyAQ61evVqRSESRSESJRML0HABIaQQP4FCWZemNN97QyJEjVV5eroaGBtOTACBlETyAg1mWpcrKSvXt21fTp09XU1OT6UkAkJIIHsDhPB6PNm/erIyMDM2bN0+tra2mJwFAyiF4ABfIzMzUe++9p/Pnz2vx4sVqa2szPQkAUgrBA7hEdna2du/erePHj2vlypWybdv0JABIGQQP4CJ+v1/79+9XTU2NXnrpJdNzACBl8D08gMvk5uaqqqpKwWBQgUBAK1euND0JAIwjeAAX6tmzp6LRqAoLCxUIBLR48WLTkwDAKIIHcKn8/HxVV1eruLhYgUBAs2bNMj0JAIwheAAXGzJkiA4cOKBQKCSfz6fy8nLTkwDACA4tAy43fPhw7dmzRwsXLtTHH39seg4AGEHwAGlgzJgx2rFjh2bNmqVPPvnE9BwA6HQED5AmgsGgtm7dqkmTJuno0aOm5wBApyJ4gDRSWlqqyspKRSIRnTx50vQcAOg0HFoG0sy0adNUX1+vcDisWCymgoIC05MAIOkIHiANPfLII4rH4wqFQqqrq1OfPn1MTwKApCJ4gDT1xBNPKJFIqKSkRDU1NerRo4fpSQCQNJzhAdLYc889p7KyMkUiESUSCdNzACBpCB4gjVmWpddff12jRo3SxIkT1dDQYHoSACQFwQOkOcuyVFlZqf79+2vatGlqamoyPQkAOhzBA0Aej0ebNm1Sly5dNHfuXLW2tpqeBAAdiuABIEnyer1699139dNPP2nRokVqa2szPQkAOgzBA+CKrKws7d69WydPntSKFStk27bpSQDQIQgeAL/g8/m0b98+1dXV6YUXXjA9BwA6BN/DA+Aqubm5OnjwoILBoHJycvT000+bngQAvwnBA6BdeXl5qq6uvhI9ixcvNj0JAG4ZwQPgmvLz81VdXa2ioiL5/X7Nnj3b9CQAuCUED4DrGjx4sKqqqjR27Fj5fD5VVFSYngQAN43gAfCr7r77bu3du1dlZWXy+XwKhUKmJwHATeFTWgBuyOjRo7Vz507Nnj1bR44cMT0HAG4KwQPghhUWFmrr1q2aPHmyvvrqK9NzAOCGETwAbkppaanWr1+vsrIynThxwvQcALghnOEBcNOmTp2q+vp6lZSUqK6uTgMHDjQ9CQCui+ABcEsefvhhJRIJhUIhxWIx9enTx/QkALgmggfALXv88ccVj8cVDodVW1urHj16mJ4EAO3iDA+A32TVqlWaMGGCSktLFY/HTc8BgHYRPAB+E8uy9Nprr2nMmDGaOHGiLl26ZHoSAFyF4AHwm1mWpXXr1qmgoEBTp05VU1OT6UkA8AsED4AO4fF4tHHjRnXt2lVz5sxRS0uL6UkAcAXBA6DDeL1ebdu2TT///LMWLVqktrY205MAQBLBA6CDZWVl6YMPPtA333yjFStWyLZt05MAgOAB0PF8Pp/27t2rWCym559/3vQcAOB7eAAkR25urqqqqhQMBhUIBPTMM8+YngQgjRE8AJImLy9P0WhUhYWFysnJ0WOPPWZ6EoA0RfAASKp+/fopGo2qqKhIfr9fc+fONT0JQBoieAAk3aBBg1RVVaWxY8fK7/dr0qRJpicBSDMED4BOMWzYMO3du1eRSER+v1+hUMj0JABphE9pAeg0o0aN0s6dOzV79mwdOXLE9BwAaYTgAdCpCgsL9c4772jy5Mn68ssvTc8BkCYIHgCdbty4cdqwYYPKysp0/Phx03MApAHO8AAwYsqUKaqvr1dJSYnq6up05513mp4EwMUIHgDGPPTQQ0okEgqFQorFYurbt6/pSQBciuABYNSyZcsUj8cVDodVW1urO+64w/QkAC7EGR4Axq1atUrl5eUqLS1VPB43PQeACxE8AFLCq6++qvvvv18TJkzQpUuXTM8B4DIED4CUYFmW1q5dq4EDB2rKlClqbGw0PQmAixA8AFKGx+PRxo0bddttt2nOnDlqaWkxPQmASxA8AFKK1+vVtm3blEgktHDhQrW1tZmeBMAFCB4AKScrK0u7du3S6dOntXz5ctm2bXoSAIcjeACkJJ/Pp3379unIkSNas2aN6TkAHI7v4QGQsm6//XYdOHBARUVFysnJ0bPPPmt6EgCHIngApLS8vDxVV1crGAwqEAho6dKlpicBcCCCB0DK69evn6qrq1VUVKRAIKB58+aZngTAYQgeAI4waNAgVVVVaezYsfL7/Zo8ebLpSQAchOAB4BjDhg3Tvn37VFpaKp/Pp5KSEtm2rebmZnXp0sX0PAApjE9pAXCUkSNHateuXZozZ44OHTqk8ePHa8KECaZnAUhxvMIDwHEeeOABvf322xo3bpw8Ho8sy9LFixfl8/lMTwOQoniFB4DjXLp0SS+++KIsy1JTU5O8Xq+i0ajpWQBSGK/wAHCcRCKhtrY2ZWRkyLZtXbx4URs3blRFRcWVn/mxvlE7vjirE9/HFb/copxsr4b2ztH0Ufnq4c8yuB6ACdb1vrJ99OjR9ueff96JcwDgxn377bfavHmz3nrrLTU2NqqxsVFH/3JBlTWnVXvqnCSpseX/7sWV7fXIllT8+zwtLRqie/vnGloOIBksy/rCtu3R7V4jeAA4nW3bOnPmjP71e+mV/Sd0uaVV17v9lmVJ2d4MrS4bqrl/HNhpOwEk1/WCh7e0ADieZVn/GzvH1dD863dXt22poblVr+w/LklED5AGOLQMwPGO/uWCXtl/4pqx0/zX/9aZNyfrxz3//IvHG5rb9Mr+Ezp29kJnzARgEMEDwPEqa07rckvrNa//9eCflNXnrnavXW5p1fqa08maBiBFEDwAHO3H+kbVnjp3zTM7F/+jVp5sn7IL7m33um1Lh0+e0/n6xiSuBGAawQPA0XZ8cfaa19oaL+lC7F/U7Z8eve5zWJJ2/PnazwPA+QgeAI524vv4Lz56/v9dqHtH/ntL5M3Ju+5zXG5p04nvEsmYByBFEDwAHC1+uaXdx5t++E9dPnNUOWMq2r1+9fM0d+QsACmGj6UDcLSc7Pb/jF3+r39Xy88/6Oz6+ZIku+myZLfpux+Xq8/8t9p5nsyk7gRgFsEDwNGG9s5Rlvf7q97W8v/DOPn+ELzy//i/7VLLzz+o+7hlVz1HttejoX0CSd8KwBze0gLgaNNG5bf7uCczWxn+blf+WZnZsrxdlHHb7Vf9rC1p2sj2nweAO/AKDwBHu8OfpaLf5an6+A/XvZ1EbuGcdh+3LOkff5/HDUUBl+MVHgCOt6x4iLK9Gbf0u9neDC0tHtLBiwCkGoIHgOPd2z9Xq8uGqmvmzf1J65rp0eqyoRqRz13TAbfjLS0ArvD3G4Byt3QA7SF4ALjG3D8O1Ij8XK2vOa3DJ8/J0t++VPDvsr0e2frbmZ2lxUN4ZQdIIwQPAFcZkZ+rP80drfP1jdrx57M68V1C8cvNysnO1NA+AU0bmc8BZSANETwAXKmHP0tLgoNNzwCQIji0DAAAXI/gAQAArkfwAAAA1yN4AACA6xE8AADA9QgeAADgegQPAABwPYIHAAC4HsEDAABcj+ABAACuR/AAAADXI3gAAIDrETwAAMD1CB4AAOB6BA8AAHA9ggcAALgewQMAAFyP4AEAAK5H8AAAANcjeAAAgOsRPAAAwPUIHgAA4HqWbdvXvmhZ5ySd6bw5AAAAt6zAtu289i5cN3gAAADcgLe0AACA6xE8AADA9QgeAADgegQPAABwPYIHAAC43v8Ahu9ziWhPYD4AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dg = makeDirectedGraph(10, 15)\n",
"nx.draw_networkx(dg)"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rdg = reverseWeightedDG(dg)\n",
"nx.draw_networkx(rdg)"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]\n"
]
}
],
"source": [
"print(nx.nodes(rdg))"
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0\n"
]
}
],
"source": [
"test_is = get_immediate_similarity(dg, 4, 8)\n",
"print(test_is)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Edit distance - immediate similarity"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"dictionary: {og graph similarity : reverse graph similarity}"
]
},
{
"cell_type": "code",
"execution_count": 71,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{1.0: 0.6729619957630177, 0: 0.5094429936445267, 0.05834694440640319: 1.0, 0.7645867361016008: 1.0, 1.8074162716891298: 1.0, 0.8590676766442557: 1.0, 0.8943007574831917: 1.0, 4.717800584032529: 0, 8.435601168065059: 1.0, 1.2164408040238832: 1.0, 1.865763216095533: 1.0}\n"
]
}
],
"source": [
"dg_nodes = nx.nodes(dg)\n",
"dg_weights = nx.get_edge_attributes(dg, 'weight')\n",
"dg_nodePairs = list(it.combinations(dg_nodes, 2))\n",
"\n",
"dg_rdg_data = {}\n",
"dg_is = []\n",
"rdg_is = []\n",
"for pair in dg_nodePairs:\n",
" dg_rdg_data[get_immediate_similarity(dg, pair[0], pair[1])] = get_immediate_similarity(rdg, pair[1], pair[0]) #it's the rdg!!\n",
" dg_rdg_data[get_immediate_similarity(dg, pair[1], pair[0])] = get_immediate_similarity(rdg, pair[0], pair[1])\n",
" \n",
"print(dg_rdg_data)"
]
},
{
"cell_type": "code",
"execution_count": 72,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Immediate Similarity Values of a Graph vs. its Reversed Graph')"
]
},
"execution_count": 72,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(list(dg_rdg_data.keys()),list(dg_rdg_data.values()))\n",
"plt.xlabel('Immediate Similarity (of Original Graph)')\n",
"plt.ylabel('Immediate Similarity (of Full Graph)')\n",
"plt.title('Immediate Similarity Values of a Graph vs. its Reversed Graph')"
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {},
"outputs": [],
"source": [
"# accepts DAG and its reversed graph, returns a dictionary {ed (imm sim) of the DAG : ed (imm sim) of its reverse}\n",
"def dg_rdg_immSim(dg, rdg):\n",
" dg_nodes = nx.nodes(dg)\n",
" dg_weights = nx.get_edge_attributes(dg, 'weight')\n",
" dg_nodePairs = list(it.combinations(dg_nodes, 2))\n",
"\n",
" dg_rdg_data = {}\n",
" dg_is = []\n",
" rdg_is = []\n",
" for pair in dg_nodePairs:\n",
" dg_rdg_data[get_immediate_similarity(dg, pair[0], pair[1])] = get_immediate_similarity(rdg, pair[1], pair[0])\n",
" dg_rdg_data[get_immediate_similarity(dg, pair[1], pair[0])] = get_immediate_similarity(rdg, pair[0], pair[1])\n",
" \n",
" return dg_rdg_data\n",
" \n"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{1.0: 0.6729619957630177, 0: 0.5094429936445267, 0.05834694440640319: 1.0, 0.7645867361016008: 1.0, 1.8074162716891298: 1.0, 0.8590676766442557: 1.0, 0.8943007574831917: 1.0, 4.717800584032529: 0, 8.435601168065059: 1.0, 1.2164408040238832: 1.0, 1.865763216095533: 1.0}\n"
]
}
],
"source": [
"test_immSim = dg_rdg_immSim(dg, rdg)\n",
"print(test_immSim)"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Immediate Similarity Values of a Graph vs. its Reversed Graph')"
]
},
"execution_count": 75,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(list(test_immSim.keys()),list(test_immSim.values()))\n",
"plt.xlabel('Immediate Similarity (of Original Graph)')\n",
"plt.ylabel('Immediate Similarity (of Reversed Graph)')\n",
"plt.title('Immediate Similarity Values of a Graph vs. its Reversed Graph')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Edit Distance - full similarity"
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {},
"outputs": [],
"source": [
"# accepts DAG and its reversed graph, returns a dictionary {ed (full sim) of the DAG : ed (full sim) of its reverse}\n",
"def dg_rdg_fullSim(dg, rdg):\n",
" dg_nodes = nx.nodes(dg)\n",
" dg_weights = nx.get_edge_attributes(dg, 'weight')\n",
" dg_nodePairs = list(it.combinations(dg_nodes, 2))\n",
"\n",
" dg_rdg_data = {}\n",
" dg_is = []\n",
" rdg_is = []\n",
" for pair in dg_nodePairs:\n",
" dg_rdg_data[get_full_similarity(dg, pair[0], pair[1])] = get_full_similarity(rdg, pair[0], pair[1])\n",
" dg_rdg_data[get_full_similarity(dg, pair[1], pair[0])] = get_full_similarity(rdg, pair[1], pair[0])\n",
" \n",
" return dg_rdg_data\n",
" "
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{33.772434781726616: 0.8185600209888918, 5.096554347715827: 31.7933476855191, 1.0: 0.009107948597716969, 0: 0.43377597062726686, 5.681776397389517: 0.34786874698516757, 7.554486956345324: 0.6976000349814863, 3.2785684346883324: 1.0, 1.2531742705209257: 0, 1.8074162716891298: 25.125912390896392, 0.1131339643287802: 0.20728635887817357, 0.5565669821643902: 0.009107948597716969, 0.2698591311319152: 31.7933476855191, 0.16555329272218874: 16.39667384275955, 3.7230904997026544: 31.7933476855191, 5.356944799524247: 0.5652458313234451, 14.105898266453249: 1.0, 12.649687347958443: 0, 4.870627313754685: 76.42396878215706, 31.965018510037485: 20.44355144374601, 4.98652360837605: 31.7933476855191, 16.9460944335042: 0.7732000262361147, 4.112103428231605: 0.34786874698516757, 9.743303762107177: 1.0, 7.800347370527804: 0, 5.423574072862498: 22.663179295304143, 5.5560269810012: 0.34786874698516757, 10.494121615652624: 1.0, 6.274512008695901: 0, 7.193003702007497: 26.924735258328013, 7.37843777340168: 0.6976000349814863, 1.0523502403332448: 0, 1.4711521629992026: 1.0, 1.1553691688855692: 0, 1.6991612599850607: 1.0, 1.92055023601791: 25.116804442298676, 1.460275118008955: 25.116804442298672}\n"
]
}
],
"source": [
"test_fullSim = dg_rdg_fullSim(dg, rdg)\n",
"print(test_fullSim)"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Full Similarity Values of a Graph vs. its Reversed Graph')"
]
},
"execution_count": 78,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(list(test_fullSim.keys()),list(test_fullSim.values()))\n",
"plt.xlabel('Full Similarity (of Original Graph)')\n",
"plt.ylabel('Full Similarity (of Reversed Graph)')\n",
"plt.title('Full Similarity Values of a Graph vs. its Reversed Graph')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"jaccard index"
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {},
"outputs": [],
"source": [
"# accepts DAG and its reversed graph, returns a dictionary {Jaccard similarity of the DAG : Jaccard similarity of its reverse}\n",
"def dg_rdg_Jaccard(dg, rdg):\n",
" dg_nodes = nx.nodes(dg)\n",
" dg_weights = nx.get_edge_attributes(dg, 'weight')\n",
" dg_nodePairs = list(it.combinations(dg_nodes, 2))\n",
"\n",
" dg_rdg_data = {}\n",
" dg_is = []\n",
" rdg_is = []\n",
" for pair in dg_nodePairs:\n",
" dg_rdg_data[calculate_jaccard_similarity(dg, pair[0], pair[1])] = calculate_jaccard_similarity(rdg, pair[1], pair[0])\n",
" dg_rdg_data[calculate_jaccard_similarity(dg, pair[1], pair[0])] = calculate_jaccard_similarity(rdg, pair[0], pair[1])\n",
" \n",
" return dg_rdg_data"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{0.004037340023650745: 0.9653152483410578, 0.0: 0.9754062956996227, 0.004124069673360846: 0.9726410300989632, 0.0045985375275526385: 0.9994622641823327, 0.0012582729599732335: 0.0, 0.0012582729599732337: 0.0, 0.05929051347146663: 0.04633150938516344, 0.9431055963948772: 0.9999151568210832, 0.9789698873735511: 0.9924681547136045, 0.877961743154336: 0.9658346122059834, 0.8779617431543362: 0.9658346122059834, 0.11601479618055086: 0.0, 0.06809419900864414: 0.01790901543154327, 0.004280899232370067: 0.965397155704665, 0.8968220110526517: 0.9731643354185942, 0.8968220110526519: 0.9731643354185938, 0.11043818742069116: 0.0, 0.0695569903496542: 0.023927547132618975, 0.06955699034965418: 0.023927547132618972, 0.0043728609915215716: 0.972723559057921, 0.0836535994408046: 0.0, 0.07755941479180595: 0.04596266269124596, 0.004875951903085978: 0.9995470689331379, 0.021222163315869638: 0.0, 0.021222163315869635: 0.0, 0.0013341803556071745: 0.0, 0.0013341803556071743: 0.0, 0.05907919909823624: 0.046334738845515866}\n"
]
}
],
"source": [
"test_jaccard = dg_rdg_Jaccard(dg, rdg)\n",
"print(test_jaccard)"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Jaccard Index Values of a Graph vs. its Reversed Graph')"
]
},
"execution_count": 81,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(list(test_jaccard.keys()),list(test_jaccard.values()))\n",
"plt.xlabel('Jaccard Index (of Original Graph)')\n",
"plt.ylabel('Jaccard Index (of Reversed Graph)')\n",
"plt.title('Jaccard Index Values of a Graph vs. its Reversed Graph')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Experiment"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"for graphs with 10, 20, 50, 100, 200, 500, 1000 nodes\n",
"1.5 times as many edges as nodes"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {},
"outputs": [],
"source": [
"#acceptsa graph, returns the immediate sims, full sims, and Jaccard sims of it and its reverse graph\n",
"def reverseSimilarityData(dg):\n",
" dataIS = {}\n",
" dataFS = {}\n",
" dataJI = {}\n",
" rdg = reverseWeightedDG(dg)\n",
"\n",
" dataIS.update(dg_rdg_immSim(dg, rdg))\n",
" dataFS.update(dg_rdg_fullSim(dg, rdg))\n",
" dataJI.update(dg_rdg_Jaccard(dg, rdg))\n",
"\n",
" listOfDicts = [dataIS, dataFS, dataJI]\n",
" return listOfDicts"
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, '30 node graph')"
]
},
"execution_count": 83,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"dg30 = makeDirectedGraph(30, 45)\n",
"data30 = reverseSimilarityData(dg30)\n",
"\n",
"#plot immediate similarity\n",
"plt.scatter(list(data30[0].keys()),list(data30[0].values()))\n",
"plt.xlabel('Immediate Similarity (of Original Graph)')\n",
"plt.ylabel('Immediate Similarity (of Reversed Graph)')\n",
"plt.title('30 node graph')"
]
},
{
"cell_type": "code",
"execution_count": 84,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, '30 node graph')"
]
},
"execution_count": 84,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#plot full similarity\n",
"plt.scatter(list(data30[1].keys()),list(data30[1].values()))\n",
"plt.xlabel('Full Similarity (of Original Graph)')\n",
"plt.ylabel('Full Similarity (of Reversed Graph)')\n",
"plt.title('30 node graph')"
]
},
{
"cell_type": "code",
"execution_count": 85,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, '30 node graph')"
]
},
"execution_count": 85,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"#plot jaccard similarity\n",
"plt.scatter(list(data30[1].keys()),list(data30[1].values()))\n",
"plt.xlabel('Jaccard Index (of Original Graph)')\n",
"plt.ylabel('Jaccard Index (of Reversed Graph)')\n",
"plt.title('30 node graph')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Test 1"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x504 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"listNodeNum = [10, 50, 100, 150]\n",
"\n",
"for n in listNodeNum:\n",
" dg = makeDirectedGraph(n, int(n*1.5))\n",
" data = reverseSimilarityData(dg)\n",
" dataIS = data[0]\n",
" dataFS= data[1]\n",
" dataJI = data[2]\n",
" \n",
" # scatter plot\n",
" plt.scatter(list(dataIS.keys()),list(dataIS.values()),label='Edit Distance-Immediate Similarity')#plot immediate similarity\n",
" plt.scatter(list(dataFS.keys()),list(dataFS.values()), label = \"Edit-Distance-Full Similarity\") #plot full similarity\n",
" plt.scatter(list(dataJI.keys()),list(dataJI.values()), label = \"Jaccard Index\") #plot jaccard similarity\n",
" \n",
" plt.xlabel('Similarity of Original Graph')\n",
" plt.ylabel('Similarity of Reversed Graph')\n",
" plt.title(str(n) + ' node graph')\n",
" plt.legend()\n",
" #plt.rcParams[\"figure.figsize\"] = (10,7)\n",
" plt.xlim(-.1,2)\n",
" plt.ylim(-.1,2)\n",
"\n",
" plt.show()"
]
},
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