Link_Analysis.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "25571\n"
     ]
    }
   ],
   "source": [
    "#reading the data \n",
    "import math\n",
    "fp=open(r\"dataset1.txt\",\"r\")\n",
    "list_lines=[]\n",
    "while True:\n",
    "    line=fp.readline()\n",
    "    if(not line):\n",
    "        break\n",
    "    list_lines.append(line)\n",
    "print(len(list_lines))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total Number of edges : 25571\n"
     ]
    }
   ],
   "source": [
    "#creating the edge list \n",
    "edge_list=[]\n",
    "for line in list_lines:\n",
    "    text=line.split()\n",
    "    text[0]=int(text[0])\n",
    "    text[1]=int(text[1])\n",
    "    edge_list.append(text)\n",
    "print(\"Total Number of edges :\" ,len(edge_list))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total Nodes are :  1005\n"
     ]
    }
   ],
   "source": [
    "#first counting the total nodes\n",
    "dict_nodes_in={}\n",
    "dict_nodes_out={}\n",
    "dict_nodes_total={}\n",
    "for edge in edge_list:\n",
    "    u=edge[0]\n",
    "    v=edge[1]\n",
    "    \n",
    "    if u in dict_nodes_out:\n",
    "        dict_nodes_out[u]+=1\n",
    "    else:\n",
    "        dict_nodes_out[u]=1\n",
    "    \n",
    "    if v in dict_nodes_in:\n",
    "        dict_nodes_in[v]+=1\n",
    "    else:\n",
    "        dict_nodes_in[v]=1\n",
    "    \n",
    "    if u not in dict_nodes_total:\n",
    "        dict_nodes_total[u]=1\n",
    "    \n",
    "    if v not in dict_nodes_total:\n",
    "        dict_nodes_total[v]=1\n",
    "\n",
    "print(\"Total Nodes are : \",len(dict_nodes_total))\n",
    "# print(len(dict_nodes_in))\n",
    "# print(len(dict_nodes_out))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Average in degree is : 25.443781094527363\n",
      "Average out degree is : 25.443781094527363\n"
     ]
    }
   ],
   "source": [
    "#calculating degrees average, maximum etc.\n",
    "avg_in_degree=0\n",
    "avg_out_degree=0\n",
    "for node in dict_nodes_in:\n",
    "    avg_in_degree+=dict_nodes_in[node]\n",
    "\n",
    "avg_in_degree=avg_in_degree/len(dict_nodes_total)\n",
    "print(\"Average in degree is :\",avg_in_degree)\n",
    "\n",
    "for node in dict_nodes_out:\n",
    "    avg_out_degree+=dict_nodes_out[node]\n",
    "\n",
    "avg_out_degree=avg_out_degree/len(dict_nodes_total)\n",
    "print(\"Average out degree is :\",avg_out_degree)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Max indegree node is :  160\n",
      "Max outdegree node is :  160\n"
     ]
    }
   ],
   "source": [
    "import operator\n",
    "sorted_dict_in=dict((sorted(dict_nodes_in.items(), key =operator.itemgetter(1), reverse=True)))\n",
    "sorted_dict_out=dict((sorted(dict_nodes_out.items(), key =operator.itemgetter(1), reverse=True)))\n",
    "for i in sorted_dict_in:\n",
    "    print(\"Max indegree node is : \",i)\n",
    "    break\n",
    "for i in sorted_dict_out:\n",
    "    print(\"Max outdegree node is : \",i)\n",
    "    break"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The density of newtork is: 0.025342411448732432\n"
     ]
    }
   ],
   "source": [
    "#calculating density of graph\n",
    "density=len(edge_list)/((len(dict_nodes_total))*(len(dict_nodes_total)-1))\n",
    "print(\"The density of newtork is:\",density)\n",
    "                        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#plotting distribution of degrees\n",
    "from matplotlib import pyplot as plt\n",
    "list_of_nodes=[i for i in range(0,len(dict_nodes_total))]\n",
    "list_indegree=[]\n",
    "for i in range(0,len(dict_nodes_total)):\n",
    "    if i in dict_nodes_in:\n",
    "        list_indegree.append(dict_nodes_in[i])\n",
    "    else:\n",
    "        list_indegree.append(0)\n",
    "list_outdegree=[]\n",
    "for i in range(0,len(dict_nodes_total)):\n",
    "    if i in dict_nodes_out:\n",
    "        list_outdegree.append(dict_nodes_out[i])\n",
    "    else:\n",
    "        list_outdegree.append(0)\n",
    "plt.title(\"In degree distribution\")\n",
    "plt.plot(list_of_nodes,list_indegree)\n",
    "plt.xlabel(\"Nodes in Graph\")\n",
    "plt.ylabel(\"Degree Values\")\n",
    "plt.show()\n",
    "\n",
    "plt.title(\"Out degree distribution\")\n",
    "plt.plot(list_of_nodes,list_outdegree)\n",
    "plt.xlabel(\"Nodes in Graph\")\n",
    "plt.ylabel(\"Degree Values\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1005\n"
     ]
    }
   ],
   "source": [
    "# creating adjacency matrix\n",
    "adj_matrix=[[0 for i in range(0,len(dict_nodes_total))]for j in range(0,len(dict_nodes_total))]\n",
    "print(len(adj_matrix[0]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1005\n"
     ]
    }
   ],
   "source": [
    "for edge in edge_list:\n",
    "    u=edge[0]\n",
    "    v=edge[1]\n",
    "    adj_matrix[u][v]=1\n",
    "\n",
    "print(len(adj_matrix[1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The clustering coefficient of nodes :\n",
      "{0: 0.2552602436323367, 1: 0.22941176470588234, 2: 0.26572866620910546, 3: 0.35031055900621116, 4: 0.28174692049272115, 5: 0.10038287504350853, 6: 0.14943331780779381, 7: 0.2498993963782696, 8: 0.40555555555555556, 9: 0.36639676113360325, 10: 0.25208140610545793, 11: 0.2055855855855856, 12: 0.2731829573934837, 13: 0.09952294269035214, 14: 0.19328140214216163, 15: 0.3235294117647059, 16: 0.24750092558311737, 17: 0.23436196830692244, 18: 0.26430976430976433, 19: 0.24507042253521127, 20: 0.24904870624048706, 21: 0.20802919708029197, 22: 0.45054945054945056, 23: 0.29430379746835444, 24: 0.3475033738191633, 25: 0.39015151515151514, 26: 0.44028520499108736, 27: 0.3114754098360656, 28: 0.2936893203883495, 29: 0.3342731829573935, 30: 0.343509724106739, 31: 0.36989795918367346, 32: 0.4857397504456328, 33: 0.5061576354679803, 34: 0.5620689655172414, 35: 0.35783424077434967, 36: 0.40856236786469347, 37: 0.376984126984127, 38: 0.34492753623188405, 39: 0.41596638655462187, 40: 0.304500292226768, 41: 0.2636704119850187, 42: 0.289707515734913, 43: 0.5064102564102564, 44: 0.21602564102564104, 45: 0.3353376503237743, 46: 0.342527386541471, 47: 0.36489795918367346, 48: 0.2885662431941924, 49: 0.46153846153846156, 50: 0.4708333333333333, 51: 0.24231782265144863, 52: 0.23166666666666666, 53: 0.258974358974359, 54: 0.4853061224489796, 55: 0.5040650406504065, 56: 0.5180388529139686, 57: 0.3801864801864802, 58: 0.25748387096774195, 59: 0.47888386123680243, 60: 0.34521313766596784, 61: 0.24389233954451345, 62: 0.13014562051727885, 63: 0.2551140833988985, 64: 0.1199985911524373, 65: 0.15181023720349562, 66: 0.25798319327731095, 67: 0.3194444444444444, 68: 0.3635522664199815, 69: 0.24833589349718382, 70: 0.4869281045751634, 71: 0.5367647058823529, 72: 0.39285714285714285, 73: 0.3505747126436782, 74: 0.1932632584806498, 75: 0.3261904761904762, 76: 0.6027667984189723, 77: 0.34833333333333333, 78: 0.4051383399209486, 79: 0.29069767441860467, 80: 0.2947686116700201, 81: 0.26045688545688545, 82: 0.13912524257351844, 83: 0.21233299075025694, 84: 0.1176159718144451, 85: 0.23470839260312945, 86: 0.105094726062468, 87: 0.2292922881624881, 88: 0.4163306451612903, 89: 0.2803312629399586, 90: 0.3835978835978836, 91: 0.3954022988505747, 92: 0.19601328903654486, 93: 0.21819425444596444, 94: 0.33167220376522705, 95: 0.3459759481961147, 96: 0.17996011964107678, 97: 0.4927536231884058, 98: 0.47644927536231885, 99: 0.45634920634920634, 100: 0.2865384615384615, 101: 0.31613756613756616, 102: 0.4090909090909091, 103: 0.35137254901960785, 104: 0.5725806451612904, 105: 0.21920498084291187, 106: 0.20997973657548125, 107: 0.1460772104607721, 108: 0.2857142857142857, 109: 0.2, 110: 0.6555555555555556, 111: 0.6607142857142857, 112: 0.3236842105263158, 113: 0.2582763337893297, 114: 0.23596757852077002, 115: 0.2481216457960644, 116: 0.2813911472448058, 117: 0.2982456140350877, 118: 0.22903225806451613, 119: 0.3516483516483517, 120: 0.32679738562091504, 121: 0.14250036998668048, 122: 0.3230769230769231, 123: 0.3487394957983193, 124: 0.2702104097452935, 125: 0.4351851851851852, 126: 0.45187165775401067, 127: 0.27380952380952384, 128: 0.21982758620689655, 129: 0.18473074301295161, 130: 0.29603174603174603, 131: 0.34921098772647574, 132: 0.36197778952934956, 133: 0.20384411920296244, 134: 0.2826086956521739, 135: 0.46321321321321324, 136: 0.5952380952380952, 137: 0.3187033849684452, 138: 0.5554435483870968, 139: 0.3549257759784076, 140: 0.35833333333333334, 141: 0.2273411623005119, 142: 0.20832476875642345, 143: 0.2885714285714286, 144: 0.4945054945054945, 145: 0.3412008281573499, 146: 0.2438423645320197, 147: 0.33224489795918366, 148: 0.3567251461988304, 149: 0.31527093596059114, 150: 0.41038406827880514, 151: 0.4161616161616162, 152: 0.3037084398976982, 153: 0.46304675716440424, 154: 0.419811320754717, 155: 0.15667665667665667, 156: 0.3102766798418972, 157: 0.2271062271062271, 158: 0.3466312056737589, 159: 0.4189189189189189, 160: 0.08048923515121052, 161: 0.33042973286875726, 162: 0.17261904761904762, 163: 0.3042986425339366, 164: 0.3154486586493987, 165: 0.23844705200637403, 166: 0.1501948051948052, 167: 0.23870417732310314, 168: 0.24298245614035088, 169: 0.26611618137041865, 170: 0.23206615120274915, 171: 0.38742071881606766, 172: 0.24224664224664225, 173: 0.2699488105992171, 174: 0.3053599374021909, 175: 0.5545454545454546, 176: 0.25133689839572193, 177: 0.20101596516690856, 178: 0.2957983193277311, 179: 0.3001397624039133, 180: 0.22433002107798855, 181: 0.2943502824858757, 182: 0.38405797101449274, 183: 0.17530259757921937, 184: 0.27848101265822783, 185: 0.43506493506493504, 186: 0.3160919540229885, 187: 0.3361285814116003, 188: 0.3310975609756098, 189: 0.19765765765765766, 190: 0.32085561497326204, 191: 0.20928961748633879, 192: 0.5714285714285714, 193: 0.6908831908831908, 194: 0.44646464646464645, 195: 0.5515873015873016, 196: 0.4590017825311943, 197: 0.36984126984126986, 198: 0.3581081081081081, 199: 0.2914285714285714, 200: 0.38907563025210085, 201: 0.34285714285714286, 202: 0.47619047619047616, 203: 0.38124156545209176, 204: 0.4031746031746032, 205: 0.3978494623655914, 206: 0.2646892655367232, 207: 0.46551724137931033, 208: 0.38461538461538464, 209: 0.2399598393574297, 210: 0.3480392156862745, 211: 0.1878654970760234, 212: 0.278921568627451, 213: 0.31406105457909345, 214: 0.2993966817496229, 215: 0.19474969474969475, 216: 0.48677248677248675, 217: 0.2971014492753623, 218: 0.2259158751696065, 219: 0.3660130718954248, 220: 0.35661764705882354, 221: 0.26721311475409837, 222: 0.2579476861167002, 223: 0.29542606516290726, 224: 0.33516483516483514, 225: 0.39901477832512317, 226: 0.2619047619047619, 227: 0.27485380116959063, 228: 0.31601731601731603, 229: 0.3125, 230: 0.525974025974026, 231: 0.20046082949308755, 232: 0.15830212234706617, 233: 0.3216346153846154, 234: 0.31755102040816324, 235: 0.42028985507246375, 236: 0.39725490196078433, 237: 0.4298850574712644, 238: 0.24154334038054967, 239: 0.43636363636363634, 240: 0.5547619047619048, 241: 0.5281385281385281, 242: 0.39299242424242425, 243: 0.3088235294117647, 244: 0.4287749287749288, 245: 0.37518853695324283, 246: 0.42810457516339867, 247: 0.5183823529411765, 248: 0.31846153846153846, 249: 0.21307986436765025, 250: 0.45098039215686275, 251: 0.47822822822822825, 252: 0.24649859943977592, 253: 0.3164924506387921, 254: 0.27402292095210107, 255: 0.33804563492063494, 256: 0.2516609251968504, 257: 0.37719298245614036, 258: 0.21415607985480944, 259: 0.26666666666666666, 260: 0.3268398268398268, 261: 0.40561224489795916, 262: 0.29772079772079774, 263: 0.32155657962109574, 264: 0.4039039039039039, 265: 0.37980085348506404, 266: 0.3407258064516129, 267: 0.49415204678362573, 268: 0.25825825825825827, 269: 0.27593300029385837, 270: 0.5047619047619047, 271: 0.29731457800511507, 272: 0.24556737588652483, 273: 0.46091954022988507, 274: 0.43280632411067194, 275: 0.3310924369747899, 276: 0.26666666666666666, 277: 0.41774891774891776, 278: 0.3026936026936027, 279: 0.6111111111111112, 280: 0.23243801652892562, 281: 0.41412429378531074, 282: 0.19772434521253757, 283: 0.22588652482269503, 284: 0.2646733111849391, 285: 0.27677638453500525, 286: 0.5065656565656566, 287: 0.4069264069264069, 288: 0.26450742240215924, 289: 0.3392857142857143, 290: 0.2526347485697079, 291: 0.4126984126984127, 292: 0.35435435435435436, 293: 0.49047619047619045, 294: 0.38405797101449274, 295: 0.19176706827309237, 296: 0.27699530516431925, 297: 0.39766081871345027, 298: 0.2833333333333333, 299: 0.30978260869565216, 300: 0.2517117117117117, 301: 0.09636255217650566, 302: 0.4743083003952569, 303: 0.2898466317219957, 304: 0.3689655172413793, 305: 0.37103825136612023, 306: 0.2729591836734694, 307: 0.2727272727272727, 308: 0.3211538461538462, 309: 0.2727272727272727, 310: 0.33763440860215055, 311: 0.2777777777777778, 312: 0.291871921182266, 313: 0.5784313725490197, 314: 0.30549019607843136, 315: 0.25, 316: 0.20096618357487922, 317: 0.34782608695652173, 318: 0.33870056497175144, 319: 0.7454545454545455, 320: 0.3307823129251701, 321: 0.3042207792207792, 322: 0.5327635327635327, 323: 0.32521008403361346, 324: 0.2573099415204678, 325: 0.32671957671957674, 326: 0.325, 327: 0.3215725806451613, 328: 0.41578947368421054, 329: 0.28994845360824745, 330: 0.43333333333333335, 331: 0.19927536231884058, 332: 0.4007936507936508, 333: 0.21871843788575918, 334: 0.7052631578947368, 335: 0.5383333333333333, 336: 0.3817460317460317, 337: 0.4116059379217274, 338: 0.3141195134849286, 339: 0.33489187609585036, 340: 0.22345013477088949, 341: 0.5833333333333334, 342: 0.2182267884322679, 343: 0.49047619047619045, 344: 0.4411764705882353, 345: 0.41595441595441596, 346: 0.3968253968253968, 347: 0.31166666666666665, 348: 0.9166666666666666, 349: 0.3577075098814229, 350: 0.338768115942029, 351: 0.2797814207650273, 352: 0.3603988603988604, 353: 0.28222996515679444, 354: 0.8181818181818182, 355: 0.49528301886792453, 356: 0.39224489795918366, 357: 0.4, 358: 0.2672955974842767, 359: 0.4043560606060606, 360: 0.33004926108374383, 361: 0.41581632653061223, 362: 0.30861040068201195, 363: 0.3474310776942356, 364: 0.4583333333333333, 365: 0.2448107448107448, 366: 0.20998168498168499, 367: 0.36173964149280047, 368: 0.34444444444444444, 369: 0.6607142857142857, 370: 0.35714285714285715, 371: 0.322240042769313, 372: 0.3689655172413793, 373: 0.19797979797979798, 374: 0.45714285714285713, 375: 0.26083916083916087, 376: 0.35918367346938773, 377: 0.12165450121654502, 378: 0.6266666666666667, 379: 0.33127721335268506, 380: 0.36097560975609755, 381: 0.3966131907308378, 382: 1.0, 383: 0.8333333333333334, 384: 0.5666666666666667, 385: 0.7015810276679841, 386: 0.625, 387: 0.3391025641025641, 388: 0.5595238095238095, 389: 0.3382663847780127, 390: 0.37294685990338167, 391: 0.6289473684210526, 392: 0.65, 393: 0.2509550396708786, 394: 0.5625, 395: 0.401219512195122, 396: 0.8296703296703297, 397: 0.4264264264264264, 398: 1.0, 399: 0.45098039215686275, 400: 0.3442389758179232, 401: 0.2253061224489796, 402: 0.3611111111111111, 403: 0.40350877192982454, 404: 0.263003232441963, 405: 0.2303745168599227, 406: 0.40763546798029554, 407: 0.37037037037037035, 408: 0.37946127946127944, 409: 0.11918767507002802, 410: 0.6181818181818182, 411: 0.19194139194139195, 412: 0.32821824381926684, 413: 0.47783251231527096, 414: 0.13636363636363635, 415: 0.08333333333333333, 416: 0.3333333333333333, 417: 0.33804563492063494, 418: 0.3896551724137931, 419: 0.2106060606060606, 420: 0.14027292922881626, 421: 0.20627450980392156, 422: 0.347979797979798, 423: 0.4237179487179487, 424: 0.20112781954887218, 425: 0.20714285714285716, 426: 0.2960257159555815, 427: 0.34285714285714286, 428: 0.5555555555555556, 429: 0.4943181818181818, 430: 0.30007256894049344, 431: 0.391304347826087, 432: 0.8571428571428571, 433: 0.3695652173913043, 434: 0.17058683772867664, 435: 0.2, 436: 0.8333333333333334, 437: 0.3903846153846154, 438: 0.2634440199823685, 439: 1.0, 440: 0.19109730848861284, 441: 0.28215488215488216, 442: 0.5, 443: 0.336827393431167, 444: 0.5120967741935484, 445: 0.31773399014778325, 446: 0.6015384615384616, 447: 0.42473118279569894, 448: 0.35512820512820514, 449: 0, 450: 0.2753044140030441, 451: 0.40384615384615385, 452: 0.3725609756097561, 453: 0.3740530303030303, 454: 0.6111111111111112, 455: 0.3118279569892473, 456: 0.8333333333333334, 457: 0.35714285714285715, 458: 0.3271276595744681, 459: 0.19140030441400305, 460: 0.20319303338171263, 461: 0.5283333333333333, 462: 0.2989247311827957, 463: 1.0, 464: 0.3125, 465: 0.20833333333333334, 466: 0.2692307692307692, 467: 0.44021739130434784, 468: 0.3, 469: 0.5686274509803921, 470: 0.33, 471: 0.25274725274725274, 472: 0.21428571428571427, 473: 0.1746517159361196, 474: 0.3001543209876543, 475: 0, 476: 0.7857142857142857, 477: 0.7651515151515151, 478: 0.3359756097560976, 479: 0.35, 480: 0.3181818181818182, 481: 0.5080808080808081, 482: 0.19903381642512077, 483: 0.24545454545454545, 484: 0.38571428571428573, 485: 0.41625615763546797, 486: 0.24638508371385084, 487: 0.42083333333333334, 488: 0.5727272727272728, 489: 0.3952380952380952, 490: 0.3879210220673635, 491: 0.17894736842105263, 492: 0.35172413793103446, 493: 0.24993160054719563, 494: 0.16018306636155608, 495: 0.2616033755274262, 496: 0.36594202898550726, 497: 0.25735294117647056, 498: 0.16361149110807113, 499: 0.2897959183673469, 500: 0.5357142857142857, 501: 0.46153846153846156, 502: 0.5018115942028986, 503: 0.5984848484848485, 504: 0.3222591362126246, 505: 0.391025641025641, 506: 0.24801692226335273, 507: 0.26666666666666666, 508: 0.34402852049910876, 509: 0.2613556953179595, 510: 0.4976190476190476, 511: 0.22529644268774704, 512: 0.45, 513: 0.20707070707070707, 514: 0.6545454545454545, 515: 0.2917547568710359, 516: 0.5494505494505495, 517: 0.6346153846153846, 518: 0.3274647887323944, 519: 0.22727272727272727, 520: 0.39937106918238996, 521: 0.225, 522: 0.5, 523: 0.17251461988304093, 524: 0, 525: 0.3440803382663848, 526: 0.27181385510312006, 527: 0.5980392156862745, 528: 0.5181818181818182, 529: 0.3904761904761905, 530: 0.18888888888888888, 531: 0.3559577677224736, 532: 0.4131578947368421, 533: 0.11922260329903642, 534: 0.45, 535: 0.4444444444444444, 536: 0.3021978021978022, 537: 0.17424242424242425, 538: 0.5222222222222223, 539: 0.30357142857142855, 540: 0.5, 541: 0.31666666666666665, 542: 0.5065359477124183, 543: 0.2700348432055749, 544: 0.34236453201970446, 545: 0.42333333333333334, 546: 0.1922222222222222, 547: 0.5665024630541872, 548: 0.3388888888888889, 549: 0.14335443037974682, 550: 0.48148148148148145, 551: 0.33421052631578946, 552: 0.5046457607433217, 553: 0.7083333333333334, 554: 0.5075757575757576, 555: 0.4375, 556: 0.4305555555555556, 557: 0.3660130718954248, 558: 0.2727272727272727, 559: 0.5833333333333334, 560: 0.13265993265993267, 561: 0, 562: 0.3365591397849462, 563: 0.35789473684210527, 564: 0.1846590909090909, 565: 0.3106060606060606, 566: 0.36363636363636365, 567: 0.3, 568: 0.42980295566502463, 569: 0.32051282051282054, 570: 0.5631578947368421, 571: 0.5657894736842105, 572: 0.35, 573: 0.6394736842105263, 574: 0.5833333333333334, 575: 0.5636363636363636, 576: 0.3304093567251462, 577: 0.3974358974358974, 578: 0, 579: 0.5666666666666667, 580: 0, 581: 0.23763440860215054, 582: 0.39705882352941174, 583: 0, 584: 0.8333333333333334, 585: 0.3560606060606061, 586: 0.4683333333333333, 587: 0.580952380952381, 588: 0.4505928853754941, 589: 0.405, 590: 0.503968253968254, 591: 0.5416666666666666, 592: 0.39572192513368987, 593: 0.30139372822299654, 594: 0.8666666666666667, 595: 0, 596: 0.5333333333333333, 597: 0.2610294117647059, 598: 0.75, 599: 0.37362637362637363, 600: 0.5075757575757576, 601: 0.30725462304409673, 602: 0.37166666666666665, 603: 0, 604: 0.5178571428571429, 605: 0, 606: 0, 607: 0.2689393939393939, 608: 0.4273399014778325, 609: 0.65, 610: 0.29044117647058826, 611: 0.3153846153846154, 612: 0.2548821548821549, 613: 0.13636363636363635, 614: 0.35, 615: 0.23060109289617486, 616: 0.13333333333333333, 617: 0.6666666666666666, 618: 0.532967032967033, 619: 0.6607142857142857, 620: 0.8333333333333334, 621: 0.3014705882352941, 622: 0, 623: 0.3181818181818182, 624: 0.22727272727272727, 625: 1.0, 626: 0, 627: 0.30952380952380953, 628: 0.8095238095238095, 629: 0.5, 630: 0.6666666666666666, 631: 0.6666666666666666, 632: 0.8333333333333334, 633: 0, 634: 0.5, 635: 0.7, 636: 0.5, 637: 0.75, 638: 0.20666666666666667, 639: 0.4, 640: 0.5, 641: 0.38596491228070173, 642: 0.4921052631578947, 643: 0.28205128205128205, 644: 0.3875, 645: 0.43333333333333335, 646: 0.75, 647: 0.40384615384615385, 648: 0, 649: 0.36363636363636365, 650: 0, 651: 0.27450980392156865, 652: 0.2857142857142857, 653: 0, 654: 0.2375533428165007, 655: 0.2849462365591398, 656: 0.4090909090909091, 657: 0, 658: 0, 659: 0.5, 660: 0, 661: 0.313953488372093, 662: 0.5350877192982456, 663: 0.45321637426900585, 664: 0.2196969696969697, 665: 0.5171957671957672, 666: 0.44664031620553357, 667: 0.29195402298850576, 668: 0, 669: 0.30952380952380953, 670: 0, 671: 0.33448275862068966, 672: 0.489010989010989, 673: 1.0, 674: 0.49122807017543857, 675: 0, 676: 0.5833333333333334, 677: 1.0, 678: 0.3380952380952381, 679: 0.3713450292397661, 680: 0, 681: 0.41699604743083, 682: 0.5, 683: 0.8194444444444444, 684: 0, 685: 0.49167437557816834, 686: 0.3, 687: 0.6666666666666666, 688: 0, 689: 0.3333333333333333, 690: 0.44285714285714284, 691: 0, 692: 0, 693: 1.0, 694: 0.18055555555555555, 695: 0.21031746031746032, 696: 0.6527777777777778, 697: 0.2857142857142857, 698: 0.7447089947089947, 699: 0.3983333333333333, 700: 0.3425287356321839, 701: 0, 702: 1.0, 703: 0, 704: 0.5, 705: 0.4642857142857143, 706: 0.23484848484848486, 707: 0.27115384615384613, 708: 0.5906432748538012, 709: 1.0, 710: 0.39766081871345027, 711: 0, 712: 0, 713: 1.0, 714: 0.447463768115942, 715: 0.1, 716: 1.0, 717: 0.37777777777777777, 718: 0.7333333333333333, 719: 0.532967032967033, 720: 0.41304347826086957, 721: 0.7666666666666667, 722: 0.6666666666666666, 723: 0.3141025641025641, 724: 1.0, 725: 0.7307692307692307, 726: 0.4444444444444444, 727: 0.3333333333333333, 728: 0.43333333333333335, 729: 0.32142857142857145, 730: 0.358974358974359, 731: 0, 732: 0, 733: 0.3131868131868132, 734: 0.3241758241758242, 735: 0.9285714285714286, 736: 0.6333333333333333, 737: 1.0, 738: 0.6512605042016807, 739: 0.3333333333333333, 740: 0.3333333333333333, 741: 0.7666666666666667, 742: 0.3333333333333333, 743: 0.75, 744: 0, 745: 0.30357142857142855, 746: 0, 747: 0.3157894736842105, 748: 0.33049242424242425, 749: 0.45, 750: 0, 751: 0.7380952380952381, 752: 0.5, 753: 0.41842105263157897, 754: 0.31084656084656087, 755: 0, 756: 0.275, 757: 0.3333333333333333, 758: 0.1813186813186813, 759: 0, 760: 0.5, 761: 0, 762: 0, 763: 1.0, 764: 0.08333333333333333, 765: 0.4631578947368421, 766: 0.8333333333333334, 767: 0.4, 768: 0.7428571428571429, 769: 0.3333333333333333, 770: 0, 771: 0.48214285714285715, 772: 0, 773: 0.5, 774: 0, 775: 0, 776: 0.41625615763546797, 777: 0.3, 778: 0.2, 779: 0.16666666666666666, 780: 0, 781: 0.3333333333333333, 782: 0.8333333333333334, 783: 0.2857142857142857, 784: 0.5, 785: 0.5, 786: 0.2111111111111111, 787: 0, 788: 0.5, 789: 0.2545454545454545, 790: 0, 791: 0.36666666666666664, 792: 0, 793: 0.05, 794: 1.0, 795: 0, 796: 0.5833333333333334, 797: 0.43333333333333335, 798: 0, 799: 0.14285714285714285, 800: 0.06666666666666667, 801: 1.0, 802: 0.4666666666666667, 803: 0.6432748538011696, 804: 0.553030303030303, 805: 0.16666666666666666, 806: 0.9666666666666667, 807: 0.5666666666666667, 808: 0, 809: 0.44725177304964536, 810: 0.1948529411764706, 811: 0.5357142857142857, 812: 0.26994535519125684, 813: 0.35507246376811596, 814: 0.2, 815: 0.5980392156862745, 816: 0.4025974025974026, 817: 0.4666666666666667, 818: 0.25, 819: 0.55, 820: 0.2008236434108527, 821: 1.0, 822: 0.2976190476190476, 823: 0.427536231884058, 824: 0, 825: 0.6666666666666666, 826: 0.6507692307692308, 827: 0, 828: 0.3485221674876847, 829: 0.3333333333333333, 830: 0, 831: 0, 832: 0.5815384615384616, 833: 0.6964285714285714, 834: 0, 835: 0.4523809523809524, 836: 0.4, 837: 1.0, 838: 1.0, 839: 0, 840: 0.5588235294117647, 841: 0.4642857142857143, 842: 1.0, 843: 0.5, 844: 0.5, 845: 0.5709677419354838, 846: 0.5, 847: 0.4748677248677249, 848: 0.6666666666666666, 849: 0.42857142857142855, 850: 0, 851: 0.4857142857142857, 852: 0.25, 853: 0, 854: 0.7857142857142857, 855: 0.25, 856: 0.25780189959294436, 857: 0.5, 858: 0, 859: 0.3506468797564688, 860: 0.567193675889328, 861: 0, 862: 0, 863: 0, 864: 0, 865: 0.9444444444444444, 866: 0.6666666666666666, 867: 0.4166666666666667, 868: 0, 869: 0.7, 870: 1.0, 871: 0, 872: 0.32051282051282054, 873: 1.0, 874: 1.0, 875: 0, 876: 0, 877: 0.4305555555555556, 878: 1.0, 879: 0, 880: 0.553763440860215, 881: 0, 882: 1.0, 883: 0.7, 884: 0.5, 885: 0.6, 886: 0.509090909090909, 887: 0.75, 888: 0, 889: 0.5833333333333334, 890: 0.5, 891: 1.0, 892: 0.3658008658008658, 893: 0.5, 894: 0, 895: 1.0, 896: 0.3795698924731183, 897: 0, 898: 0.5, 899: 0, 900: 0.38769230769230767, 901: 0, 902: 0, 903: 1.0, 904: 0, 905: 0.7222222222222222, 906: 0.25, 907: 0.5192307692307693, 908: 0.49145299145299143, 909: 0.6785714285714286, 910: 0, 911: 1.0, 912: 0.4, 913: 0.3261904761904762, 914: 0.49783549783549785, 915: 0, 916: 0, 917: 0.4772079772079772, 918: 0.5683760683760684, 919: 0.6818181818181818, 920: 0, 921: 0.6181818181818182, 922: 0.25181159420289856, 923: 0.55, 924: 0.5454545454545454, 925: 0.7287581699346405, 926: 0.6703296703296703, 927: 0.803030303030303, 928: 0, 929: 0.7435897435897436, 930: 0.46190476190476193, 931: 0.5208333333333334, 932: 0.23153797601514833, 933: 0.6691176470588235, 934: 0.25, 935: 0.55, 936: 0.28307692307692306, 937: 0.6785714285714286, 938: 0, 939: 0.3333333333333333, 940: 1.0, 941: 0, 942: 0, 943: 0, 944: 0, 945: 0.5833333333333334, 946: 0, 947: 0.9444444444444444, 948: 0, 949: 0.6829710144927537, 950: 0.15555555555555556, 951: 0.5777777777777777, 952: 0.6190476190476191, 953: 0.29583333333333334, 954: 0.8095238095238095, 955: 0.6428571428571429, 956: 0.4380952380952381, 957: 0.5444444444444444, 958: 0.3333333333333333, 959: 0, 960: 0, 961: 0, 962: 0, 963: 0.3542682926829268, 964: 0.6, 965: 0, 966: 1.0, 967: 0.55, 968: 0.6666666666666666, 969: 1.0, 970: 0.4666666666666667, 971: 0.055043859649122805, 972: 0, 973: 0, 974: 0.7619047619047619, 975: 0, 976: 0.6584615384615384, 977: 0.6666666666666666, 978: 0.85, 979: 0.23333333333333334, 980: 0.4, 981: 0.6584615384615384, 982: 0, 983: 1.0, 984: 0.3333333333333333, 985: 0, 986: 0.5, 987: 0.7045454545454546, 988: 1.0, 989: 0.8333333333333334, 990: 0.5631578947368421, 991: 1.0, 992: 0.5, 993: 0, 994: 0, 995: 0, 996: 0, 997: 0.6666666666666666, 998: 0, 999: 0, 1000: 0.4666666666666667, 1001: 0.7777777777777778, 1002: 0, 1003: 0, 1004: 0}\n"
     ]
    }
   ],
   "source": [
    "#calculating the clustering coefficient of each node\n",
    "dict_clust_cof={}\n",
    "for i in range(0,len(dict_nodes_total)):\n",
    "    adj_lis=adj_matrix[i]\n",
    "    count_neighb=0\n",
    "    count_neighb_edg=0\n",
    "    for node in range(0,len(adj_lis)):\n",
    "        if(adj_matrix[i][node]==1):\n",
    "            count_neighb+=1\n",
    "            for node2 in range(0,len(adj_lis)):\n",
    "                if(node!=node2 and adj_matrix[node][node2]==1 and (adj_matrix[i][node2]==1 or adj_matrix[node2][i]==1)):\n",
    "                    count_neighb_edg+=1\n",
    "        elif(adj_matrix[node][i]==1):\n",
    "            count_neighb+=1\n",
    "            for node2 in range(0,len(adj_lis)):\n",
    "                if(node!=node2 and adj_matrix[node][node2]==1 and (adj_matrix[i][node2]==1 or adj_matrix[node2][i]==1)):\n",
    "                    count_neighb_edg+=1\n",
    "        \n",
    "    \n",
    "    count_neighb=(count_neighb*(count_neighb-1))\n",
    "    if(count_neighb_edg!=0 and count_neighb!=0):\n",
    "        hold=count_neighb_edg/count_neighb\n",
    "        \n",
    "        dict_clust_cof[i]=hold\n",
    "    else:\n",
    "        dict_clust_cof[i]=0\n",
    "\n",
    "print(\"The clustering coefficient of nodes :\")\n",
    "print((dict_clust_cof))\n",
    "\n",
    "# for val in dict_clust_cof:\n",
    "#     if(dict_clust_cof[val]==1):\n",
    "#         count+=1\n",
    "# print(count)       \n",
    "                    \n",
    "   \n",
    "            "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "coeff_list=[dict_clust_cof[i] for i in dict_clust_cof ]\n",
    "plt.title(\"Clustering Coefficient Distribution\")\n",
    "plt.plot(list_of_nodes,coeff_list)\n",
    "plt.xlabel(\"Nodes in Graph\")\n",
    "plt.ylabel(\"Coefficient Values \")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "dist_matrix=[[0 for i in range(0,len(dict_nodes_total))]for j in range(0,len(dict_nodes_total))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 202,
   "metadata": {},
   "outputs": [],
   "source": [
    "#calculating closeness centrality for each node (average of shortest path from node (S) to other)\n",
    "#using floyd-warshall all pair shortest path algorithm\n",
    "#the code is commented as it is pickled\n",
    "\n",
    "# from tqdm.notebook import tqdm as tqdm\n",
    "# #initialising the distance matrix first\n",
    "# for i in range(0,len(dict_nodes_total)):\n",
    "#     for j in range(0,len(dict_nodes_total)):\n",
    "#         if(i!=j and adj_matrix[i][j]==1):\n",
    "#             dist_matrix[i][j]=1\n",
    "#         elif(i!=j and adj_matrix[i][j]==0):\n",
    "#             dist_matrix[i][j]=len(edge_list)+1\n",
    "\n",
    "# #print(dist_matrix[0])\n",
    "\n",
    "# for k in tqdm(range(0,len(dict_nodes_total))):\n",
    "#     for i in range(0,len(dict_nodes_total)):\n",
    "#         for j in range(0,len(dict_nodes_total)):\n",
    "#             dist_matrix[i][j]=min(dist_matrix[i][j],dist_matrix[i][k]+dist_matrix[k][j])\n",
    "   \n",
    "\n",
    "           \n",
    "# print(dist_matrix[0])    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pickle\n",
    "#reading the distance matrix\n",
    "fp=open(\"dist_matrix\",\"rb\")\n",
    "dist_matrix=pickle.load(fp)\n",
    "fp.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The closeness centrality of the nodes : \n",
      "{0: 0, 1: 1.0, 2: 2.0, 3: 1.5, 4: 1.3333333333333333, 5: 1.5, 6: 1.0, 7: 1.8333333333333333, 8: 1.8571428571428572, 9: 1.875, 10: 2.111111111111111, 11: 1.6, 12: 1.7272727272727273, 13: 1.75, 14: 1.9230769230769231, 15: 2.0, 16: 1.9333333333333333, 17: 2.0, 18: 1.8823529411764706, 19: 1.7777777777777777, 20: 1.9473684210526316, 21: 1.7, 22: 2.0952380952380953, 23: 1.9545454545454546, 24: 2.1739130434782608, 25: 1.9583333333333333, 26: 2.16, 27: 1.9230769230769231, 28: 1.8148148148148149, 29: 1.75, 30: 1.793103448275862, 31: 1.9, 32: 1.903225806451613, 33: 1.9375, 34: 1.9696969696969697, 35: 1.6176470588235294, 36: 1.6571428571428573, 37: 1.9444444444444444, 38: 1.8108108108108107, 39: 1.8421052631578947, 40: 1.6666666666666667, 41: 1.925, 42: 1.951219512195122, 43: 2.6666666666666665, 44: 1.7209302325581395, 45: 2.25, 46: 1.9555555555555555, 47: 1.934782608695652, 48: 2.0638297872340425, 49: 2.625, 50: 2.36734693877551, 51: 1.84, 52: 2.411764705882353, 53: 2.230769230769231, 54: 2.0754716981132075, 55: 2.1666666666666665, 56: 2.2181818181818183, 57: 2.107142857142857, 58: 1.8596491228070176, 59: 2.1379310344827585, 60: 2.457627118644068, 61: 2.05, 62: 1.6721311475409837, 63: 1.7903225806451613, 64: 1.7936507936507937, 65: 2.046875, 66: 2.3076923076923075, 67: 2.3484848484848486, 68: 2.1044776119402986, 69: 2.1470588235294117, 70: 2.347826086956522, 71: 2.4285714285714284, 72: 2.704225352112676, 73: 2.375, 74: 1.8767123287671232, 75: 2.4054054054054053, 76: 2.32, 77: 2.289473684210526, 78: 2.207792207792208, 79: 2.0, 80: 1.9487179487179487, 81: 1.8860759493670887, 82: 1.75, 83: 1.9135802469135803, 84: 2.0, 85: 2.1566265060240966, 86: 1.6428571428571428, 87: 1.7882352941176471, 88: 2.13953488372093, 89: 1.9195402298850575, 90: 2.1363636363636362, 91: 2.146067415730337, 92: 1.988888888888889, 93: 2.0, 94: 2.1956521739130435, 95: 2.118279569892473, 96: 1.6914893617021276, 97: 2.4105263157894736, 98: 2.25, 99: 2.195876288659794, 100: 2.0510204081632653, 101: 2.202020202020202, 102: 2.51, 103: 2.1485148514851486, 104: 2.3137254901960786, 105: 1.7766990291262137, 106: 1.8076923076923077, 107: 1.6095238095238096, 108: 2.1320754716981134, 109: 2.5233644859813085, 110: 2.4444444444444446, 111: 2.614678899082569, 112: 2.2363636363636363, 113: 1.8918918918918919, 114: 1.8035714285714286, 115: 1.8053097345132743, 116: 1.9385964912280702, 117: 2.1652173913043478, 118: 2.163793103448276, 119: 2.393162393162393, 120: 2.483050847457627, 121: 1.6890756302521008, 122: 2.6416666666666666, 123: 2.0826446280991737, 124: 2.2131147540983607, 125: 2.2357723577235773, 126: 2.370967741935484, 127: 2.176, 128: 1.6904761904761905, 129: 1.7559055118110236, 130: 2.1875, 131: 2.015625, 132: 1.945736434108527, 133: 1.853846153846154, 134: 2.1908396946564888, 135: 2.0681818181818183, 136: 2.1353383458646618, 137: 1.9253731343283582, 138: 2.185185185185185, 139: 2.1544117647058822, 140: 2.153284671532847, 141: 1.9855072463768115, 142: 1.8201438848920863, 143: 2.0, 144: 2.4397163120567376, 145: 1.9577464788732395, 146: 2.3986013986013988, 147: 2.0277777777777777, 148: 2.3586206896551722, 149: 2.267123287671233, 150: 2.204081632653061, 151: 2.027027027027027, 152: 1.9261744966442953, 153: 2.08, 154: 2.006622516556291, 155: 1.894736842105263, 156: 2.3333333333333335, 157: 2.1363636363636362, 158: 2.1161290322580646, 159: 2.1666666666666665, 160: 1.6178343949044587, 161: 2.132911392405063, 162: 1.949685534591195, 163: 1.95625, 164: 2.1490683229813663, 165: 1.8395061728395061, 166: 1.7116564417177915, 167: 2.201219512195122, 168: 1.9454545454545455, 169: 1.8072289156626506, 170: 1.8622754491017963, 171: 2.0833333333333335, 172: 1.893491124260355, 173: 1.888235294117647, 174: 1.9707602339181287, 175: 2.61046511627907, 176: 2.3757225433526012, 177: 2.1839080459770117, 178: 2.3771428571428572, 179: 2.0795454545454546, 180: 1.9322033898305084, 181: 2.1179775280898876, 182: 2.5083798882681565, 183: 1.711111111111111, 184: 1.9226519337016574, 185: 2.7527472527472527, 186: 2.19672131147541, 187: 2.0, 188: 2.091891891891892, 189: 2.010752688172043, 190: 2.06951871657754, 191: 2.0, 192: 2.502645502645503, 193: 2.357894736842105, 194: 2.136125654450262, 195: 2.2291666666666665, 196: 2.1968911917098444, 197: 2.077319587628866, 198: 2.194871794871795, 199: 2.086734693877551, 200: 2.16751269035533, 201: 1.9898989898989898, 202: 2.658291457286432, 203: 2.065, 204: 2.225, 205: 2.144278606965174, 206: 2.0396039603960396, 207: 2.0738916256157633, 208: 2.019607843137255, 209: 1.9804878048780488, 210: 1.9174757281553398, 211: 1.8115942028985508, 212: 1.7788461538461537, 213: 2.3684210526315788, 214: 2.0428571428571427, 215: 1.8909952606635072, 216: 2.1792452830188678, 217: 2.431924882629108, 218: 2.0514018691588785, 219: 2.2883720930232556, 220: 2.263888888888889, 221: 2.013824884792627, 222: 2.0091743119266057, 223: 1.9863013698630136, 224: 2.327272727272727, 225: 2.2217194570135748, 226: 1.9954954954954955, 227: 2.3542600896860986, 228: 2.188340807174888, 229: 2.1026785714285716, 230: 2.1822222222222223, 231: 2.1946902654867255, 232: 1.9779735682819384, 233: 2.043859649122807, 234: 2.1179039301310043, 235: 2.408695652173913, 236: 1.9913419913419914, 237: 2.2327586206896552, 238: 2.1030042918454934, 239: 2.5641025641025643, 240: 2.3376068376068377, 241: 2.4638297872340424, 242: 2.1483050847457625, 243: 2.1012658227848102, 244: 2.197478991596639, 245: 2.075313807531381, 246: 2.7666666666666666, 247: 2.784232365145228, 248: 2.371900826446281, 249: 1.7983539094650205, 250: 2.19672131147541, 251: 2.126530612244898, 252: 1.910569105691057, 253: 2.182186234817814, 254: 2.1169354838709675, 255: 2.0281124497991967, 256: 1.82, 257: 2.450199203187251, 258: 2.1031746031746033, 259: 2.268774703557312, 260: 2.5078740157480315, 261: 2.0274509803921568, 262: 2.19921875, 263: 2.027237354085603, 264: 2.2829457364341086, 265: 2.471042471042471, 266: 2.4346153846153844, 267: 2.8122605363984676, 268: 2.145038167938931, 269: 1.9885931558935361, 270: 2.2992424242424243, 271: 2.0528301886792453, 272: 2.2030075187969924, 273: 2.4794007490636703, 274: 2.3358208955223883, 275: 2.2118959107806693, 276: 2.562962962962963, 277: 2.4612546125461257, 278: 2.0551470588235294, 279: 2.282051282051282, 280: 1.8394160583941606, 281: 2.0872727272727274, 282: 1.8115942028985508, 283: 1.7870036101083033, 284: 2.097122302158273, 285: 1.946236559139785, 286: 2.157142857142857, 287: 2.323843416370107, 288: 2.148936170212766, 289: 2.6607773851590104, 290: 1.9363957597173145, 291: 2.2359154929577465, 292: 2.1228070175438596, 293: 2.5734265734265733, 294: 2.2369337979094075, 295: 2.048611111111111, 296: 1.9619377162629759, 297: 2.406896551724138, 298: 2.388316151202749, 299: 2.452054794520548, 300: 2.0853242320819114, 301: 1.8197278911564625, 302: 2.1627118644067798, 303: 1.885135135135135, 304: 2.2222222222222223, 305: 2.174496644295302, 306: 2.0936454849498327, 307: 2.5166666666666666, 308: 2.0332225913621262, 309: 2.228476821192053, 310: 2.1617161716171616, 311: 2.2960526315789473, 312: 2.134426229508197, 313: 2.5359477124183005, 314: 2.0944625407166124, 315: 2.7045454545454546, 316: 2.142857142857143, 317: 2.4563106796116503, 318: 2.02258064516129, 319: 2.392282958199357, 320: 2.1736334405144695, 321: 2.144230769230769, 322: 2.587859424920128, 323: 2.171974522292994, 324: 2.4285714285714284, 325: 2.2088607594936707, 326: 2.050473186119874, 327: 2.091194968553459, 328: 2.413793103448276, 329: 1.9, 330: 2.6791277258566977, 331: 2.372670807453416, 332: 2.7708978328173375, 333: 1.9259259259259258, 334: 2.710769230769231, 335: 2.6411042944785277, 336: 2.168195718654434, 337: 2.1097560975609757, 338: 2.033434650455927, 339: 2.172727272727273, 340: 1.9123867069486404, 341: 2.6234939759036147, 342: 2.15015015015015, 343: 2.2425149700598803, 344: 2.665671641791045, 345: 2.2738095238095237, 346: 2.1750741839762613, 347: 2.2189349112426036, 348: 2.8584070796460175, 349: 2.273529411764706, 350: 2.4897360703812317, 351: 2.0789473684210527, 352: 2.311953352769679, 353: 2.1598837209302326, 354: 2.626086956521739, 355: 2.060693641618497, 356: 2.1095100864553316, 357: 2.117816091954023, 358: 2.372492836676218, 359: 2.7457142857142856, 360: 2.3133903133903133, 361: 2.1193181818181817, 362: 1.9858356940509916, 363: 2.042372881355932, 364: 2.4112676056338027, 365: 1.8707865168539326, 366: 1.8795518207282913, 367: 1.9720670391061452, 368: 2.0779944289693595, 369: 2.45, 370: 2.6426592797783934, 371: 1.919889502762431, 372: 2.212121212121212, 373: 2.230769230769231, 374: 2.8383561643835615, 375: 2.0546448087431695, 376: 2.1716621253405997, 377: 1.9701086956521738, 378: 2.3983739837398375, 379: 2.151351351351351, 380: 2.207547169811321, 381: 2.317204301075269, 382: 2.7587131367292224, 383: 2.804289544235925, 384: 2.474530831099196, 385: 2.324396782841823, 386: 2.6550802139037435, 387: 2.5080213903743314, 388: 2.2453333333333334, 389: 2.1808510638297873, 390: 2.230769230769231, 391: 2.5767195767195767, 392: 2.3588390501319263, 393: 1.9710526315789474, 394: 2.2624671916010497, 395: 2.073298429319372, 396: 2.6057441253263707, 397: 2.2057291666666665, 398: 2.792207792207792, 399: 2.374025974025974, 400: 2.1243523316062176, 401: 2.1782945736434107, 402: 2.448453608247423, 403: 2.4587628865979383, 404: 2.038560411311054, 405: 1.9025641025641025, 406: 2.4271099744245523, 407: 2.5714285714285716, 408: 2.272264631043257, 409: 2.185279187817259, 410: 2.318987341772152, 411: 1.9898989898989898, 412: 2.1889168765743072, 413: 2.3165829145728645, 414: 3.2531328320802007, 415: 2.765, 416: 2.915211970074813, 417: 2.0696517412935322, 418: 2.2332506203473947, 419: 1.9579207920792079, 420: 1.8419753086419752, 421: 2.064039408866995, 422: 2.1105651105651106, 423: 2.174019607843137, 424: 1.8728606356968216, 425: 2.3609756097560974, 426: 2.0559610705596105, 427: 2.075242718446602, 428: 2.3365617433414045, 429: 2.2753623188405796, 430: 2.0602409638554215, 431: 2.237980769230769, 432: 2.6258992805755397, 433: 2.389952153110048, 434: 1.7422434367541766, 435: 2.5476190476190474, 436: 2.7885985748218527, 437: 2.380047505938242, 438: 1.9928909952606635, 439: 2.7375886524822697, 440: 1.9905437352245863, 441: 2.125, 442: 2.5129411764705885, 443: 2.3051643192488265, 444: 2.3372365339578454, 445: 2.1682242990654204, 446: 2.3566433566433567, 447: 2.469767441860465, 448: 2.234338747099768, 449: 4.238425925925926, 450: 2.0393518518518516, 451: 2.8060046189376444, 452: 2.3940092165898617, 453: 2.2275862068965515, 454: 2.364678899082569, 455: 2.242562929061785, 456: 2.906392694063927, 457: 2.2323462414578588, 458: 2.0568181818181817, 459: 2.0408163265306123, 460: 2.1244343891402715, 461: 2.706546275395034, 462: 2.2612612612612613, 463: 3.256179775280899, 464: 2.085201793721973, 465: 2.610738255033557, 466: 2.2433035714285716, 467: 2.2293986636971046, 468: 2.2222222222222223, 469: 2.4266666666666667, 470: 2.3725055432372506, 471: 2.3672566371681416, 472: 2.7704194260485653, 473: 1.9779249448123621, 474: 2.0176211453744495, 475: 2.9626373626373628, 476: 2.7274725274725276, 477: 2.7346491228070176, 478: 2.199124726477024, 479: 2.975982532751092, 480: 2.148471615720524, 481: 2.206971677559913, 482: 2.2021739130434783, 483: 2.1865509761388284, 484: 2.2510822510822512, 485: 2.326133909287257, 486: 2.0905172413793105, 487: 2.767741935483871, 488: 2.892703862660944, 489: 2.1991434689507496, 490: 2.108974358974359, 491: 2.656716417910448, 492: 2.2106382978723405, 493: 1.9915074309978769, 494: 1.944915254237288, 495: 2.0232558139534884, 496: 2.329113924050633, 497: 2.4610526315789474, 498: 2.0105042016806722, 499: 2.4842767295597485, 500: 2.790794979079498, 501: 2.4363256784968685, 502: 2.595833333333333, 503: 2.72972972972973, 504: 2.2468879668049793, 505: 2.515527950310559, 506: 2.0786749482401654, 507: 2.975206611570248, 508: 2.331958762886598, 509: 2.1666666666666665, 510: 2.484599589322382, 511: 2.262295081967213, 512: 2.541922290388548, 513: 2.136734693877551, 514: 2.706720977596741, 515: 2.1686991869918697, 516: 2.5943204868154157, 517: 2.591093117408907, 518: 2.0343434343434343, 519: 2.5403225806451615, 520: 2.187122736418511, 521: 2.397590361445783, 522: 2.9458917835671343, 523: 2.49, 524: 0, 525: 2.396414342629482, 526: 2.0874751491053676, 527: 2.5277777777777777, 528: 2.5405940594059406, 529: 2.3320158102766797, 530: 2.6173570019723864, 531: 2.159448818897638, 532: 2.444007858546169, 533: 1.9332023575638506, 534: 3.056862745098039, 535: 2.6771037181996085, 536: 2.4609375, 537: 2.2962962962962963, 538: 2.762645914396887, 539: 2.4893203883495145, 540: 2.5, 541: 2.3056092843326885, 542: 2.6003861003861, 543: 2.2408477842003856, 544: 2.2346153846153847, 545: 2.4145873320537428, 546: 1.9865900383141764, 547: 2.4990439770554493, 548: 2.2251908396946565, 549: 2.184761904761905, 550: 2.220532319391635, 551: 2.398481973434535, 552: 2.2803030303030303, 553: 2.608695652173913, 554: 2.5679245283018868, 555: 2.553672316384181, 556: 2.7161654135338344, 557: 2.2983114446529083, 558: 2.855805243445693, 559: 2.502803738317757, 560: 2.25, 561: 3.277467411545624, 562: 2.201117318435754, 563: 2.3977695167286246, 564: 3.0166975881261595, 565: 2.77037037037037, 566: 2.7948243992606283, 567: 2.7693726937269374, 568: 2.3572744014732967, 569: 2.53125, 570: 2.84954128440367, 571: 2.4194139194139193, 572: 2.2564102564102564, 573: 2.3674588665447898, 574: 2.8394160583941606, 575: 2.6660583941605838, 576: 2.208029197080292, 577: 2.593065693430657, 578: 3.588342440801457, 579: 2.6320582877959926, 580: 0, 581: 2.2436363636363637, 582: 2.323049001814882, 583: 3.4130434782608696, 584: 2.657608695652174, 585: 2.625, 586: 2.3743218806509945, 587: 2.6853526220614827, 588: 2.4747292418772564, 589: 2.338738738738739, 590: 2.4010791366906474, 591: 2.4326750448833034, 592: 2.412186379928315, 593: 2.2146690518783543, 594: 2.5535714285714284, 595: 3.430357142857143, 596: 2.7660714285714287, 597: 2.450980392156863, 598: 2.6156583629893237, 599: 3.008880994671403, 600: 2.6648936170212765, 601: 2.0849557522123896, 602: 2.4275618374558303, 603: 4.317460317460317, 604: 2.6084656084656084, 605: 3.6261022927689592, 606: 3.075837742504409, 607: 2.308641975308642, 608: 2.6690140845070425, 609: 2.771528998242531, 610: 2.5385964912280703, 611: 2.1558669001751314, 612: 2.159090909090909, 613: 2.869109947643979, 614: 3.2961672473867596, 615: 2.172173913043478, 616: 2.751736111111111, 617: 2.934142114384749, 618: 2.7716262975778547, 619: 2.8151986183074267, 620: 2.7275862068965515, 621: 2.4457831325301207, 622: 3.2079037800687287, 623: 2.5481099656357387, 624: 2.4751286449399656, 625: 2.8595890410958904, 626: 2.881849315068493, 627: 2.4452054794520546, 628: 2.921367521367521, 629: 2.928205128205128, 630: 3.0034129692832763, 631: 3.035836177474403, 632: 3.2167235494880546, 633: 0, 634: 0, 635: 3.2346938775510203, 636: 2.9151103565365024, 637: 2.966044142614601, 638: 2.7860780984719864, 639: 2.883050847457627, 640: 2.577966101694915, 641: 2.3587140439932317, 642: 2.383445945945946, 643: 2.517706576728499, 644: 2.4713804713804715, 645: 2.996638655462185, 646: 2.8288590604026846, 647: 2.4832214765100673, 648: 0, 649: 2.6180904522613067, 650: 3.051839464882943, 651: 2.4841402337228713, 652: 2.85, 653: 0, 654: 2.206322795341098, 655: 2.313953488372093, 656: 2.8092868988391375, 657: 3.0829187396351574, 658: 0, 659: 3.0497512437810945, 660: 0, 661: 2.3383084577114426, 662: 2.4188741721854305, 663: 2.431404958677686, 664: 2.594059405940594, 665: 2.4481054365733113, 666: 2.3782894736842106, 667: 2.3119868637110015, 668: 3.237704918032787, 669: 2.6934426229508195, 670: 0, 671: 2.4893617021276597, 672: 2.4983660130718954, 673: 3.102773246329527, 674: 2.8859934853420195, 675: 0, 676: 2.669918699186992, 677: 2.7772357723577237, 678: 2.7853658536585364, 679: 2.530844155844156, 680: 3.314424635332253, 681: 2.380875202593193, 682: 3.059870550161812, 683: 2.773462783171521, 684: 0, 685: 2.401294498381877, 686: 2.544426494345719, 687: 2.564516129032258, 688: 3.2903225806451615, 689: 3.2903225806451615, 690: 2.3043478260869565, 691: 0, 692: 3.3006430868167205, 693: 2.597110754414125, 694: 2.707865168539326, 695: 2.485576923076923, 696: 2.9104, 697: 3.1549520766773163, 698: 2.6523125996810206, 699: 2.788216560509554, 700: 2.7360890302066774, 701: 3.315873015873016, 702: 2.7936507936507935, 703: 0, 704: 2.806349206349206, 705: 2.585714285714286, 706: 2.6402535657686212, 707: 2.4604430379746836, 708: 2.484992101105845, 709: 3.093059936908517, 710: 2.6182965299684544, 711: 0, 712: 2.9480314960629923, 713: 3.1401574803149606, 714: 2.3742138364779874, 715: 2.8116169544740974, 716: 2.9310344827586206, 717: 2.475743348982786, 718: 2.7796875, 719: 2.6578125, 720: 2.6349453978159127, 721: 2.9049844236760123, 722: 2.8880248833592534, 723: 2.7947122861586315, 724: 2.686335403726708, 725: 2.687888198757764, 726: 2.4682170542635657, 727: 2.9442724458204332, 728: 2.53323029366306, 729: 2.7978395061728394, 730: 2.4212962962962963, 731: 0, 732: 0, 733: 2.6964560862865947, 734: 2.5246153846153847, 735: 3.150537634408602, 736: 2.478527607361963, 737: 3.209800918836141, 738: 2.452599388379205, 739: 2.7068702290076336, 740: 2.829007633587786, 741: 3.0015243902439024, 742: 2.8401826484018264, 743: 3.5303951367781155, 744: 0, 745: 2.889226100151745, 746: 0, 747: 2.306060606060606, 748: 2.3161875945537065, 749: 2.6450151057401814, 750: 0, 751: 2.733031674208145, 752: 2.6129518072289155, 753: 2.5828313253012047, 754: 2.479699248120301, 755: 0, 756: 2.3928035982008997, 757: 3.0748502994011977, 758: 2.529940119760479, 759: 2.835575485799701, 760: 2.9388059701492537, 761: 3.1162444113263787, 762: 3.6557377049180326, 763: 2.947839046199702, 764: 2.549107142857143, 765: 2.5580357142857144, 766: 3.4041604754829122, 767: 2.6142433234421363, 768: 2.701780415430267, 769: 2.731851851851852, 770: 3.2874074074074073, 771: 2.5525925925925925, 772: 0, 773: 0, 774: 3.1094674556213016, 775: 3.326923076923077, 776: 2.477810650887574, 777: 2.5731166912850814, 778: 2.657817109144543, 779: 3.1752577319587627, 780: 3.1823529411764704, 781: 3.1720588235294116, 782: 2.7691176470588235, 783: 2.7470588235294118, 784: 3.1145374449339207, 785: 2.9045521292217327, 786: 2.618208516886931, 787: 2.9589442815249267, 788: 0, 789: 2.5710102489019033, 790: 0, 791: 2.972262773722628, 792: 2.848396501457726, 793: 3.314868804664723, 794: 3.7016011644832605, 795: 3.2168850072780204, 796: 2.7612809315866085, 797: 2.908296943231441, 798: 0, 799: 2.620639534883721, 800: 2.9521044992743106, 801: 2.946376811594203, 802: 0, 803: 2.781476121562952, 804: 2.8222543352601157, 805: 2.979768786127168, 806: 3.008670520231214, 807: 2.7301587301587302, 808: 0, 809: 2.347763347763348, 810: 3.0561959654178676, 811: 2.689208633093525, 812: 2.3045977011494254, 813: 2.902439024390244, 814: 2.9297994269340975, 815: 2.6895565092989986, 816: 2.644285714285714, 817: 3.0328102710413694, 818: 2.4415954415954415, 819: 3.0796586059743953, 820: 2.001422475106686, 821: 2.765625, 822: 2.533333333333333, 823: 2.8937677053824364, 824: 3.2065063649222063, 825: 3.190677966101695, 826: 2.543018335684062, 827: 3.1943661971830988, 828: 2.3577464788732394, 829: 3.587904360056259, 830: 3.484550561797753, 831: 3.3342696629213484, 832: 2.5758426966292136, 833: 2.58765778401122, 834: 2.843137254901961, 835: 2.903361344537815, 836: 3.33006993006993, 837: 2.846368715083799, 838: 3.3375174337517435, 839: 3.1211699164345403, 840: 2.4269819193324063, 841: 3.0083333333333333, 842: 2.8599167822468794, 843: 3.8432732316227463, 844: 3.0526315789473686, 845: 2.5560165975103732, 846: 0, 847: 2.5814917127071824, 848: 2.9117241379310346, 849: 2.837241379310345, 850: 2.995862068965517, 851: 2.9117241379310346, 852: 3.0798898071625342, 853: 2.9353507565337003, 854: 2.6203576341127923, 855: 2.745529573590096, 856: 2.223901098901099, 857: 2.578875171467764, 858: 0, 859: 2.258904109589041, 860: 2.746922024623803, 861: 3.6448087431693987, 862: 3.6024590163934427, 863: 0, 864: 3.141882673942701, 865: 2.965893587994543, 866: 2.88283378746594, 867: 2.8054421768707485, 868: 2.8938775510204082, 869: 3.103401360544218, 870: 3.1059782608695654, 871: 3.354619565217391, 872: 2.6942934782608696, 873: 3.24966078697422, 874: 3.1058344640434195, 875: 0, 876: 4.123306233062331, 877: 2.5420054200542004, 878: 3.1312584573748308, 879: 0, 880: 2.4520917678812415, 881: 3.0902964959568733, 882: 2.7035040431266846, 883: 2.8274932614555257, 884: 3.3122476446837146, 885: 2.915208613728129, 886: 3.170698924731183, 887: 3.0818791946308726, 888: 3.3136729222520107, 889: 2.942359249329759, 890: 2.8768406961178044, 891: 3.038821954484605, 892: 2.514705882352941, 893: 3.2977303070761015, 894: 3.265687583444593, 895: 3.0373831775700935, 896: 2.4013333333333335, 897: 3.2316910785619175, 898: 3.36884154460719, 899: 3.1861702127659575, 900: 2.466755319148936, 901: 0, 902: 2.9787798408488064, 903: 3.176158940397351, 904: 3.3703703703703702, 905: 3.5833333333333335, 906: 2.6974900924702774, 907: 2.905013192612137, 908: 2.757575757575758, 909: 2.675, 910: 3.2207621550591328, 911: 2.909329829172142, 912: 3.116951379763469, 913: 2.65748031496063, 914: 2.6212319790301444, 915: 3.49869109947644, 916: 4.442408376963351, 917: 2.7054973821989527, 918: 2.6209150326797386, 919: 2.8107049608355092, 920: 3.696219035202086, 921: 2.7916666666666665, 922: 2.5877763328998697, 923: 3.203896103896104, 924: 2.7509727626459144, 925: 2.801813471502591, 926: 2.796895213454075, 927: 3.0193798449612403, 928: 3.005161290322581, 929: 3.064516129032258, 930: 2.804123711340206, 931: 2.707850707850708, 932: 2.1362467866323906, 933: 2.8934531450577663, 934: 2.9128205128205127, 935: 3.1923076923076925, 936: 2.7784891165172856, 937: 2.809462915601023, 938: 3.289910600255428, 939: 3.0892857142857144, 940: 2.8942675159235667, 941: 0, 942: 3.708651399491094, 943: 0, 944: 0, 945: 3.112801013941698, 946: 3.470886075949367, 947: 3.010126582278481, 948: 3.520859671302149, 949: 2.686472819216182, 950: 2.2007575757575757, 951: 2.9773013871374525, 952: 2.9168765743073046, 953: 2.850314465408805, 954: 2.7123115577889445, 955: 2.848180677540778, 956: 2.6842105263157894, 957: 3.0100125156445556, 958: 3.2525, 959: 3.15980024968789, 960: 3.15980024968789, 961: 3.15980024968789, 962: 3.393258426966292, 963: 2.36284289276808, 964: 3.0099626400996264, 965: 3.7820672478206725, 966: 2.967621419676214, 967: 2.9738480697384806, 968: 3.1108343711083437, 969: 3.088418430884184, 970: 2.9440298507462686, 971: 2.9490683229813666, 972: 3.2344913151364763, 973: 3.945409429280397, 974: 2.7866004962779156, 975: 3.9454770755885997, 976: 2.807930607187113, 977: 3.176980198019802, 978: 3.0334158415841586, 979: 0, 980: 2.808641975308642, 981: 2.8162762022194823, 982: 0, 983: 2.912669126691267, 984: 3.057810578105781, 985: 3.3948339483394836, 986: 3.065190651906519, 987: 2.750307503075031, 988: 3.127921279212792, 989: 3.087330873308733, 990: 2.689189189189189, 991: 3.09079754601227, 992: 0, 993: 3.445532435740514, 994: 3.091799265605875, 995: 0, 996: 3.2974296205630353, 997: 3.227383863080685, 998: 3.26039119804401, 999: 3.193154034229829, 1000: 2.8131868131868134, 1001: 2.925609756097561, 1002: 3.4165651644336177, 1003: 3.3958587088915957, 1004: 3.402676399026764}\n"
     ]
    }
   ],
   "source": [
    "#taking average of all the shortest paths\n",
    "#if for any node centrality is 25572 here it means some nodes are unreachable to from that node\n",
    "dict_centrality={}\n",
    "for i in range(0,len(dict_nodes_total)):\n",
    "    sum_dist=0\n",
    "    count_reach=0\n",
    "    for j in range(0,len(dict_centrality)):\n",
    "        \n",
    "        #nodes that can reach i \n",
    "        if(i!=j and dist_matrix[j][i]!=25572):\n",
    "            count_reach+=1\n",
    "            sum_dist+=dist_matrix[j][i]\n",
    "            \n",
    "    \n",
    "    if(sum_dist!=0):\n",
    "        sum_dist=sum_dist/(count_reach)\n",
    "    \n",
    "    dict_centrality[i]=sum_dist\n",
    "            \n",
    "    \n",
    "print(\"The closeness centrality of the nodes : \")\n",
    "print(dict_centrality)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#distribution of closeness centrality\n",
    "cent_list=[dict_centrality[i] for i in dict_centrality ]\n",
    "plt.title(\"Closeness Centrality Distribution\")\n",
    "plt.plot(list_of_nodes,cent_list)\n",
    "plt.xlabel(\"Nodes in Graph\")\n",
    "plt.ylabel(\"Centrality Values \")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[1 1 0 ... 0 0 0]\n",
      " [0 1 0 ... 0 0 0]\n",
      " [0 0 1 ... 0 0 0]\n",
      " ...\n",
      " [0 0 0 ... 0 0 0]\n",
      " [0 0 0 ... 0 0 0]\n",
      " [0 0 0 ... 0 0 0]]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import networkx as nx\n",
    "#converting into numpy array\n",
    "adj2=np.array(adj_matrix)\n",
    "print(adj2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "#creating graph of matrix\n",
    "G=nx.from_numpy_matrix(adj2)\n",
    "#print(G.edges(data=True))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "#calculating pagerank score for each node\n",
    "page_score=nx.pagerank(G,max_iter=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Pagerank score of each node :\n",
      "{0: 0.0012241295199045862, 1: 0.0014259510042902278, 2: 0.0026046348281840823, 3: 0.001833217439217386, 4: 0.0025264401879905793, 5: 0.004914163734511238, 6: 0.0031459069441977044, 7: 0.002002094491927767, 8: 0.0010592986261601346, 9: 0.0012025577966280005, 10: 0.0013026316608832497, 11: 0.0020643381439989024, 12: 0.0017150643281634273, 13: 0.004589938693459016, 14: 0.00216626853146504, 15: 0.0014574672416746283, 16: 0.0018696078630166895, 17: 0.0027676670389268194, 18: 0.001531294934348774, 19: 0.001890595098764893, 20: 0.0020319570887596845, 21: 0.003662545113212042, 22: 0.0004991589881118159, 23: 0.002035800977072181, 24: 0.0012121974705968104, 25: 0.0009039206582156918, 26: 0.0009491583327602046, 27: 0.0017125193468837702, 28: 0.0025876290104658297, 29: 0.0014924485696338643, 30: 0.0017208445060822985, 31: 0.0012547965824590674, 32: 0.0009272290903036942, 33: 0.000838014835089916, 34: 0.0008393735755338859, 35: 0.0015023415677683871, 36: 0.0011462913715729562, 37: 0.0010196418506762661, 38: 0.0013727984369846396, 39: 0.0009560857527162207, 40: 0.0015750246090755155, 41: 0.0022984263210046882, 42: 0.0018319059866554839, 43: 0.0005070814711271429, 44: 0.002806527476050075, 45: 0.001358844750826501, 46: 0.0018417617833703813, 47: 0.0013093041418122495, 48: 0.0015225875032186848, 49: 0.0005084107263135229, 50: 0.0005520335839101981, 51: 0.0018264063364603568, 52: 0.0009911402292283181, 53: 0.0011347437461156045, 54: 0.0013521465023140595, 55: 0.0012816828586801852, 56: 0.0013126831293319987, 57: 0.00191469342832746, 58: 0.0031358471155764557, 59: 0.0014337234670455622, 60: 0.0015200982278619616, 61: 0.0019298985933430945, 62: 0.00543161597985088, 63: 0.0031403124545498614, 64: 0.004406703599967055, 65: 0.002857246564540258, 66: 0.0010909799960727167, 67: 0.00036684827576102683, 68: 0.0012402578272920832, 69: 0.0018291926327517341, 70: 0.0005727746900860521, 71: 0.0005915020286111041, 72: 0.0004913870184447055, 73: 0.0008940675310312163, 74: 0.0024431178350307063, 75: 0.0006460203223067992, 76: 0.0006946549622496244, 77: 0.000746267808369139, 78: 0.0006880197373551105, 79: 0.0011750251744013574, 80: 0.0018363323208864535, 81: 0.00283124177887365, 82: 0.006030705336840806, 83: 0.0034748686257983345, 84: 0.0037323839553283777, 85: 0.001112263529775918, 86: 0.005721519612322314, 87: 0.0035028633827757626, 88: 0.0010792439271157252, 89: 0.0018836612729160238, 90: 0.0008321772882579493, 91: 0.0009608736056960469, 92: 0.0013269532656570312, 93: 0.0022488940785842315, 94: 0.0012286698803837782, 95: 0.0013319194528280055, 96: 0.003349163718548008, 97: 0.00081286017307317, 98: 0.0007825126535640831, 99: 0.0008748380109291225, 100: 0.0012490495358319443, 101: 0.0008828847485403787, 102: 0.0007784026697180758, 103: 0.001440628223908953, 104: 0.000940226188661219, 105: 0.0035063446144321508, 106: 0.003624390122462355, 107: 0.005838096043249356, 108: 0.0012521847990062966, 109: 0.0002618419845450264, 110: 0.00041985450978443086, 111: 0.0003588830995395462, 112: 0.0006527746099817398, 113: 0.0021931495233350508, 114: 0.0035011900141158963, 115: 0.0032021571056572913, 116: 0.002046640406146638, 117: 0.0006173318977627067, 118: 0.0009071115546146013, 119: 0.0004975217660020452, 120: 0.0005935303501238396, 121: 0.006068785425631797, 122: 0.0008367476027573969, 123: 0.0009700936174869194, 124: 0.0013330604484133898, 125: 0.0009242871542533187, 126: 0.0009890054558376086, 127: 0.0008492782304103368, 128: 0.0036253005442569877, 129: 0.004195162241360284, 130: 0.0011242681880264697, 131: 0.0015929290826561073, 132: 0.001602160089097113, 133: 0.0027263273392971535, 134: 0.0008921471721048004, 135: 0.0009962779132422807, 136: 0.0007754955536937412, 137: 0.0023836898890799503, 138: 0.0009114051251874158, 139: 0.0011580935969357383, 140: 0.0012169461495442969, 141: 0.0022499729268871827, 142: 0.003443408582714586, 143: 0.001329247550087031, 144: 0.00047269830302614863, 145: 0.001895604188060777, 146: 0.0008981223605422355, 147: 0.0012966579446201645, 148: 0.000664831687156652, 149: 0.0009197338902579313, 150: 0.0011237541691277346, 151: 0.0011829079478078157, 152: 0.001744838139251771, 153: 0.0013447721162676875, 154: 0.001368140419718046, 155: 0.00206562765750037, 156: 0.0008736507962048034, 157: 0.002388184778873711, 158: 0.0013561520142314199, 159: 0.0010950186530796606, 160: 0.009070948495026505, 161: 0.0011744411001704581, 162: 0.0017156367299430073, 163: 0.0015051061717814087, 164: 0.0013477904157027478, 165: 0.0029276593297144445, 166: 0.0045516651162006835, 167: 0.0018713740777932923, 168: 0.0020635426763459027, 169: 0.0028486500917266773, 170: 0.0025375493134722144, 171: 0.0011610503421229626, 172: 0.0023260463435173973, 173: 0.002183625116940429, 174: 0.0018469930318065191, 175: 0.00040441003110363606, 176: 0.0010117546124624116, 177: 0.001560284562187568, 178: 0.001112238221974137, 179: 0.0015535933586902076, 180: 0.00223611055730807, 181: 0.0017266457006846294, 182: 0.0013575592721853046, 183: 0.004236487670978145, 184: 0.002136036735207315, 185: 0.0008333116847917328, 186: 0.0008317706073715806, 187: 0.0013782183886690595, 188: 0.001098100518207782, 189: 0.002274325547027652, 190: 0.0009344185803210538, 191: 0.002095597167267453, 192: 0.0007408747650108565, 193: 0.0008159276805941208, 194: 0.0012566715130046164, 195: 0.0010363456063359785, 196: 0.0009600288934949561, 197: 0.0010243005808118065, 198: 0.0010921791253364129, 199: 0.0014525369591788853, 200: 0.0010264421342542512, 201: 0.0014758127793521969, 202: 0.00032762567921482296, 203: 0.0010973862352393032, 204: 0.0010304671727417206, 205: 0.0009063834114463426, 206: 0.0017558064550580526, 207: 0.000843533340704489, 208: 0.001381464815131912, 209: 0.0023354570437441, 210: 0.0021147933069394476, 211: 0.00430250113252055, 212: 0.00290616829501818, 213: 0.0014071661240235929, 214: 0.0014329278409716377, 215: 0.0024807677512247374, 216: 0.0008440372259251543, 217: 0.0007777531220298178, 218: 0.0018087825126009375, 219: 0.0005684133889880539, 220: 0.0005384738762979237, 221: 0.0016103729728419087, 222: 0.0018991723609223916, 223: 0.001503755582987694, 224: 0.00048646944060193136, 225: 0.0008257527464170468, 226: 0.001606796198116779, 227: 0.0006049042740312904, 228: 0.0006637568310130003, 229: 0.0009079625717458573, 230: 0.0007759232849597491, 231: 0.002065660544183597, 232: 0.00250788962004112, 233: 0.0017074036850711627, 234: 0.0014318366094180767, 235: 0.0007528320742794326, 236: 0.0013446106442959078, 237: 0.0008928823785185954, 238: 0.0013812540094541848, 239: 0.0004054581520770412, 240: 0.0006652776265439347, 241: 0.0007010051333780146, 242: 0.0011432295787712923, 243: 0.0014492500591343732, 244: 0.0007859679726778288, 245: 0.0013453889285518902, 246: 0.0006297979669808173, 247: 0.0005893759843207542, 248: 0.0007961006267676922, 249: 0.004062091257863866, 250: 0.0010041378902574981, 251: 0.0009992501539526212, 252: 0.003066144031287775, 253: 0.0011343999826880797, 254: 0.0020401074085796066, 255: 0.001695809121122618, 256: 0.0031526926931110346, 257: 0.000636349098617446, 258: 0.001887382708789351, 259: 0.0009516003244736998, 260: 0.0007030300944864883, 261: 0.0013237629778115347, 262: 0.0009581837953613205, 263: 0.001730578955673771, 264: 0.0010999663300472367, 265: 0.0011537407432290218, 266: 0.0009809597130691003, 267: 0.0006457119334412446, 268: 0.0010558864047538932, 269: 0.002281382198238963, 270: 0.0004944340552055602, 271: 0.0019034101660909272, 272: 0.0014011973984460946, 273: 0.0009251268545104186, 274: 0.0007269932389004243, 275: 0.0010877979282889032, 276: 0.00041057179533718726, 277: 0.0007174892552667721, 278: 0.0015120976377683798, 279: 0.00036544668483476237, 280: 0.003073303459170144, 281: 0.001571379368862024, 282: 0.0034278820530843947, 283: 0.00351537557709666, 284: 0.00126440827155708, 285: 0.002441920433612065, 286: 0.0012235860450553438, 287: 0.000702353496665544, 288: 0.0011128953068251313, 289: 0.0003588620401942293, 290: 0.0023396459846305433, 291: 0.0008210224383394924, 292: 0.0010665972794187243, 293: 0.0006755878270427276, 294: 0.000757832858126545, 295: 0.00252408725546988, 296: 0.0018724071840000838, 297: 0.0006446852507831671, 298: 0.0005653423065133005, 299: 0.0008234900186357591, 300: 0.0020063097574642553, 301: 0.0034070551210303892, 302: 0.0006832307078804524, 303: 0.0026252383821124786, 304: 0.0008991028364619108, 305: 0.0016769763459444575, 306: 0.0015267942021359804, 307: 0.000726192273540997, 308: 0.001094038940495257, 309: 0.001267724102277219, 310: 0.000865671502064664, 311: 0.0010521842426161742, 312: 0.0008473235103507253, 313: 0.0005948817702352748, 314: 0.0013834319334908925, 315: 0.00034195544205913806, 316: 0.001387841373427174, 317: 0.0007241946926386602, 318: 0.0015315629409245407, 319: 0.00042053580552419274, 320: 0.0015036488791219916, 321: 0.001766402018479799, 322: 0.0009627948579771198, 323: 0.0010729040217428605, 324: 0.0006498660739939555, 325: 0.0009620623300972607, 326: 0.0011762680328587152, 327: 0.0011408929220160582, 328: 0.0006518760819906313, 329: 0.0024740039362388497, 330: 0.00040868544774046276, 331: 0.0007314889330171248, 332: 0.0009279880576394426, 333: 0.003474973745731104, 334: 0.0006890366388671055, 335: 0.0009168414051882593, 336: 0.0009927629134367348, 337: 0.0010377807010319474, 338: 0.0016664643513141636, 339: 0.0015291804282826736, 340: 0.0028339372958392445, 341: 0.0004687220697012529, 342: 0.0020974404015133073, 343: 0.0006706755225196204, 344: 0.0006831890467242423, 345: 0.0008330144902219036, 346: 0.0008192773527044117, 347: 0.0008161552060477484, 348: 0.0002563520022772093, 349: 0.0008140541220083464, 350: 0.0009708292628174714, 351: 0.0016214850453597318, 352: 0.0008681844726235169, 353: 0.0014688296569331588, 354: 0.00045399128298785537, 355: 0.0013281777458418805, 356: 0.0013028161852492517, 357: 0.001216013358224576, 358: 0.0016286853217496234, 359: 0.0010262958356738459, 360: 0.0008776013594046018, 361: 0.0012649613763104806, 362: 0.001765869489481221, 363: 0.001453879045119768, 364: 0.00035076142494077305, 365: 0.0023179086341637177, 366: 0.00270923898718832, 367: 0.0020593492675168726, 368: 0.0013057390982614246, 369: 0.0004005852586354931, 370: 0.001068927750319475, 371: 0.002182956036382962, 372: 0.0008627128023823443, 373: 0.0012731567909920261, 374: 0.0007043882297511039, 375: 0.0018629897425705682, 376: 0.0016127208957289363, 377: 0.0044458291623821035, 378: 0.0007715869805611752, 379: 0.001590889911030124, 380: 0.0013381021431283803, 381: 0.0012093894372442542, 382: 0.0002777061781986956, 383: 0.0003243527479106144, 384: 0.0005408656511696011, 385: 0.0007285938413959859, 386: 0.0003506114178881398, 387: 0.0011677327683966656, 388: 0.0008392109533798998, 389: 0.0012866680662497992, 390: 0.0013067651226633943, 391: 0.0006676422120690857, 392: 0.0006790984405077657, 393: 0.0023276492944985946, 394: 0.001003979858661043, 395: 0.0011434066322228754, 396: 0.0005021713322911911, 397: 0.0011741653409615463, 398: 0.00025386002484875463, 399: 0.0005869339012092993, 400: 0.0010815384719372915, 401: 0.0017144172721531483, 402: 0.0003992925014655656, 403: 0.0006214418795911672, 404: 0.002210901362776206, 405: 0.0032612972091298933, 406: 0.0009296726044619707, 407: 0.0008596770328360066, 408: 0.0016436232599812794, 409: 0.0022758097659505544, 410: 0.00039715712330897765, 411: 0.003187554086950646, 412: 0.0020998281485202735, 413: 0.0008548733133401293, 414: 0.0014031577240331196, 415: 0.00042311153096112413, 416: 0.0002301065127360104, 417: 0.0017880596030879629, 418: 0.000858613835276851, 419: 0.0025707721150193446, 420: 0.0034965969006267874, 421: 0.0014166213410213133, 422: 0.0011859111008725885, 423: 0.0010914190426676489, 424: 0.00329833846157104, 425: 0.00135171910428208, 426: 0.0015981213539275564, 427: 0.0014217181051536776, 428: 0.00089660071903742, 429: 0.0010031389651408093, 430: 0.0014606953604835973, 431: 0.0007166273469275307, 432: 0.0003267083226602602, 433: 0.0007648037749105028, 434: 0.004532798783044795, 435: 0.000722961162166589, 436: 0.0002154870234190998, 437: 0.0011173940721881223, 438: 0.0021173772286017193, 439: 0.00021685924151799028, 440: 0.001973872745528989, 441: 0.0014979772252918977, 442: 0.0007756299481723484, 443: 0.0014997779469900527, 444: 0.0008957965883501484, 445: 0.000850763610579529, 446: 0.0008200226958445207, 447: 0.0009939754724525632, 448: 0.0011930589399243758, 449: 0.0002611299687495963, 450: 0.0019341851582202238, 451: 0.0004967678740973411, 452: 0.001358010375238558, 453: 0.0009236072241123124, 454: 0.0003595398136151466, 455: 0.0016527891124164672, 456: 0.0002706446906765794, 457: 0.0008600793535152971, 458: 0.001322683390073962, 459: 0.00198513258378945, 460: 0.0014084932246164318, 461: 0.0008336438744556222, 462: 0.0012546965624320794, 463: 0.00032074932895709393, 464: 0.001306242080174245, 465: 0.0005502853418503592, 466: 0.001601410697425062, 467: 0.0007056981300056085, 468: 0.0006642531333684462, 469: 0.0006055772295335664, 470: 0.0008005229014049497, 471: 0.0004907798335688664, 472: 0.00032612180654905933, 473: 0.0027458241282549674, 474: 0.0020553696622739462, 475: 0.00019595542182572598, 476: 0.0003437041992565262, 477: 0.00045888770101388024, 478: 0.0011966764152850327, 479: 0.0004138163546801255, 480: 0.001201473850649418, 481: 0.0012682135218744445, 482: 0.0013340644059521558, 483: 0.0012785284643425728, 484: 0.0006759893462515712, 485: 0.0008267956499550637, 486: 0.0018667354692425385, 487: 0.0006237736475199915, 488: 0.00043512011863445837, 489: 0.0009952703948558673, 490: 0.0011047151966421017, 491: 0.0006624887897546959, 492: 0.0008279948052071311, 493: 0.00232354435472473, 494: 0.0028921349771210804, 495: 0.0022329759654893897, 496: 0.000763073924449844, 497: 0.0005638713448775961, 498: 0.0024199207130268046, 499: 0.0015155909274569316, 500: 0.0006973670074574384, 501: 0.0005058572493316747, 502: 0.0007881149533128487, 503: 0.0004581658023667416, 504: 0.0012840605727611788, 505: 0.0004930376500035286, 506: 0.0018316483358553804, 507: 0.0003191452898673333, 508: 0.0009675874142349532, 509: 0.0016987658800879683, 510: 0.0006743061169235608, 511: 0.0007755793805898227, 512: 0.0002875956275999457, 513: 0.001495164801825337, 514: 0.0004308859281924697, 515: 0.001250514836880746, 516: 0.0007143009543431812, 517: 0.0005503285764501243, 518: 0.0018342980252395976, 519: 0.0007265876937258466, 520: 0.0014757122465726754, 521: 0.000771470201304934, 522: 0.00023649940896194435, 523: 0.0007423419468523954, 524: 0.00020152703888457488, 525: 0.0013383848204536494, 526: 0.0017296398647027307, 527: 0.0005677274023967991, 528: 0.00043276184842758685, 529: 0.0010895244513085644, 530: 0.0004092779839031486, 531: 0.0013654061408615494, 532: 0.0006187519458053326, 533: 0.004045205487994194, 534: 0.0002761083335974668, 535: 0.00042585115131127453, 536: 0.00048681307355988594, 537: 0.0013251018720412517, 538: 0.00046432550638666553, 539: 0.0003439635792455314, 540: 0.00038637142207327395, 541: 0.0006652068400613264, 542: 0.0005919968185230467, 543: 0.0013811832827255708, 544: 0.0010094156342546105, 545: 0.0007582467037165598, 546: 0.0027298492577359076, 547: 0.0008174470715347295, 548: 0.0009829555947482695, 549: 0.0023108464785533203, 550: 0.0007609080386207769, 551: 0.0006672478109630433, 552: 0.0011318539546340417, 553: 0.0004361047915240425, 554: 0.0005131011236667758, 555: 0.0005424653266824641, 556: 0.0003795906631856279, 557: 0.0005661182574311769, 558: 0.00047885040784601234, 559: 0.0004105945517507705, 560: 0.0017509009634921547, 561: 0.00018370948991795747, 562: 0.0009373885558409512, 563: 0.0007299041890427786, 564: 0.0010753941494399996, 565: 0.00047002239390173345, 566: 0.0007387302232869219, 567: 0.00039812144225453164, 568: 0.0008600183302246814, 569: 0.0012251352796088274, 570: 0.0006771296940087505, 571: 0.0006083226773125612, 572: 0.0008196182311187322, 573: 0.0006397504765807769, 574: 0.00025899702076443375, 575: 0.0004404685048205504, 576: 0.0005812180776209841, 577: 0.0006219817263259006, 578: 0.00018992278081041633, 579: 0.0006973647642060296, 580: 0.0009950248756218905, 581: 0.0008942113293244883, 582: 0.000556299975116118, 583: 0.0001903045930424168, 584: 0.00025178842385040646, 585: 0.00047611533302443875, 586: 0.0007422252949652786, 587: 0.0005147607874228105, 588: 0.000694372314244062, 589: 0.0007112243196968838, 590: 0.0008109451590731937, 591: 0.0003602652128474474, 592: 0.0011185426131242154, 593: 0.001223977868223803, 594: 0.00028435647845888735, 595: 0.00018297695769500943, 596: 0.0003104971229650975, 597: 0.0005785748358670774, 598: 0.0003997111636570774, 599: 0.0004953230304142535, 600: 0.000462950934244814, 601: 0.0010486743229448645, 602: 0.0007846932173565134, 603: 0.0002611299687495963, 604: 0.00034044752551302856, 605: 0.0005749335781382824, 606: 0.00017327806957523865, 607: 0.0009159692156349476, 608: 0.0009173260294768111, 609: 0.00028967791469792766, 610: 0.0005794115383723329, 611: 0.0008978156850255243, 612: 0.001466025229672142, 613: 0.0005415230852628558, 614: 0.0003690339671878311, 615: 0.0016294644094724242, 616: 0.0003118453106851332, 617: 0.000310658712799186, 618: 0.0005589355292671356, 619: 0.0003526759266875304, 620: 0.00027344194695084605, 621: 0.000623617726276127, 622: 0.0001759391384411037, 623: 0.00047255230251621894, 624: 0.00041924753659919615, 625: 0.0002899346382551174, 626: 0.00017081178033412809, 627: 0.0005146022498046876, 628: 0.0003435227301990584, 629: 0.0002510083004033126, 630: 0.00029829098458280433, 631: 0.0002763445881082291, 632: 0.0003028353894058575, 633: 0.0009950248756218905, 634: 0.00033173950896966817, 635: 0.0005234350315652781, 636: 0.0003018745948856177, 637: 0.0002787353304820868, 638: 0.0007641692022613823, 639: 0.0003194392229808393, 640: 0.0006370116404124198, 641: 0.0007474457300531564, 642: 0.0005907095106520791, 643: 0.0004675369265590972, 644: 0.000539689061360336, 645: 0.0004924019591764788, 646: 0.0002818011646993348, 647: 0.00046407515609140563, 648: 0.0009950248756218905, 649: 0.0004475630112031152, 650: 0.0001724224455984185, 651: 0.0005907420863324044, 652: 0.0003125662494287057, 653: 0.0009950248756218905, 654: 0.0010605196259476735, 655: 0.0008756256099414729, 656: 0.0004541775884244889, 657: 0.0001726143272339352, 658: 0.0009950248756218905, 659: 0.0003082066413973414, 660: 0.0009950248756218905, 661: 0.0012491424690423492, 662: 0.0006249266847325525, 663: 0.0006008494188283024, 664: 0.00046453333868353585, 665: 0.0008049891472976945, 666: 0.0007209671234348098, 667: 0.0008573221519759338, 668: 0.00017532451821443594, 669: 0.00036487090670978754, 670: 0.0009950248756218905, 671: 0.0008577543264471783, 672: 0.0004972992092537794, 673: 0.0003020816791471907, 674: 0.0006547452750862713, 675: 0.0009950248756218905, 676: 0.0002563979873701575, 677: 0.00019486577514640432, 678: 0.0005232559191503014, 679: 0.0006080050472532764, 680: 0.00017702956569222396, 681: 0.0007943333107850301, 682: 0.00023662246970881074, 683: 0.000377266588726297, 684: 0.0009950248756218905, 685: 0.0012841062447547808, 686: 0.0003936066115857339, 687: 0.0003266962343880075, 688: 0.00017721076713607753, 689: 0.0002823190588110804, 690: 0.0006422604449979307, 691: 0.0009950248756218905, 692: 0.00020377153559509822, 693: 0.00025765368508755146, 694: 0.00039124227997163207, 695: 0.0008442574506682036, 696: 0.00036583471889523256, 697: 0.0005771734045392333, 698: 0.0008129849494553559, 699: 0.0008158630790019926, 700: 0.0009593199288404383, 701: 0.00018370948991795747, 702: 0.0001930325370965307, 703: 0.0009950248756218905, 704: 0.0002994827796023526, 705: 0.0003607086446198557, 706: 0.0005163247120070377, 707: 0.0012064840678459945, 708: 0.0006536548943231905, 709: 0.0002338963821368573, 710: 0.0006351823366625845, 711: 0.0009950248756218905, 712: 0.00042842370199609086, 713: 0.00022214345206693725, 714: 0.0007233390835989672, 715: 0.0002867298905010451, 716: 0.00030318376621263804, 717: 0.0005281980950913565, 718: 0.0002906403915523176, 719: 0.0005702381150569542, 720: 0.0007812997469007322, 721: 0.0003071101454981788, 722: 0.0002424897024840761, 723: 0.0006207843442822255, 724: 0.00019433604956763402, 725: 0.0004404928882565344, 726: 0.0005863438897618077, 727: 0.00024180510566842583, 728: 0.0006076172647321398, 729: 0.00035672197941145423, 730: 0.00045981949321972015, 731: 0.0009950248756218905, 732: 0.0009950248756218905, 733: 0.0006508100924189612, 734: 0.0004928200476905907, 735: 0.0003349511191535064, 736: 0.0003028793655210002, 737: 0.000301141826444306, 738: 0.0009691547428265316, 739: 0.00029223663566283446, 740: 0.0002437426235829535, 741: 0.0003210311285017216, 742: 0.00032688168571899884, 743: 0.0003290025943525987, 744: 0.0009950248756218905, 745: 0.00037943225597509287, 746: 0.0009950248756218905, 747: 0.001071648130668083, 748: 0.0010764762301652716, 749: 0.00026714728833777566, 750: 0.00017791476132877259, 751: 0.0003084854955250365, 752: 0.0002658646609141215, 753: 0.0006591469651639414, 754: 0.0008765319313657358, 755: 0.00017315315821565428, 756: 0.0007969541726028043, 757: 0.0003137662667463068, 758: 0.0004908723028840215, 759: 0.00019448974717120737, 760: 0.0002559635203739193, 761: 0.00017309988469322454, 762: 0.0001927114375103742, 763: 0.00030318376621263804, 764: 0.0003680181268333338, 765: 0.000666474905297049, 766: 0.00031082123408323264, 767: 0.0002859082897778008, 768: 0.0005735202573976196, 769: 0.00023202439951251267, 770: 0.00017901004856629645, 771: 0.00032517219745893536, 772: 0.0009950248756218905, 773: 0.00029943055456027736, 774: 0.00017283842465086674, 775: 0.00017629611124614302, 776: 0.0008963815243621164, 777: 0.0008570268533310149, 778: 0.00027489442421536143, 779: 0.00022218686648380648, 780: 0.00017345772816266478, 781: 0.00023923064999076374, 782: 0.00022248659073777032, 783: 0.00034619673571920036, 784: 0.0003053288967946132, 785: 0.0002410979610147949, 786: 0.00042017251514032614, 787: 0.000171967694593511, 788: 0.0003400213759296792, 789: 0.0004290247819094626, 790: 0.00017883263661123028, 791: 0.00031953334158369036, 792: 0.00017138165747619324, 793: 0.0003069007961828265, 794: 0.00021080911436367378, 795: 0.00017295481552961244, 796: 0.00024920120015323145, 797: 0.00043478201872297503, 798: 0.0009950248756218905, 799: 0.00034774159910937977, 800: 0.000300502556286869, 801: 0.0001930177749817637, 802: 0.00030644744454355556, 803: 0.0006301695889468079, 804: 0.0004662179627496957, 805: 0.0002587047584719193, 806: 0.00031847079483397344, 807: 0.00029318800476004, 808: 0.0009950248756218905, 809: 0.001329645169738946, 810: 0.0005688892841007586, 811: 0.0003377515022437433, 812: 0.0016706448606415329, 813: 0.0008424206093209352, 814: 0.0002946349571199409, 815: 0.000572960449572405, 816: 0.0006957422051075418, 817: 0.0003306266366902687, 818: 0.0004580793747775617, 819: 0.00027736512875882376, 820: 0.003351472056373179, 821: 0.00019612036601115502, 822: 0.0006929830551181325, 823: 0.0008054077124606485, 824: 0.0001785346003843166, 825: 0.0003227422910855819, 826: 0.0007878398679147595, 827: 0.00017437871893218894, 828: 0.000871655087754733, 829: 0.0002537566382512442, 830: 0.00017743750401491435, 831: 0.0001768950135218629, 832: 0.0007902219513070207, 833: 0.0003435667848138038, 834: 0.00017180523560859652, 835: 0.0003442306245942099, 836: 0.0003340168492796245, 837: 0.0002994827796023526, 838: 0.0002002095328675717, 839: 0.00020595679967353348, 840: 0.0005617145572879323, 841: 0.0004037870029537126, 842: 0.00019705355278917163, 843: 0.000241326743105714, 844: 0.0002198289183203688, 845: 0.0009091359773872915, 846: 0.00048269050224158944, 847: 0.000815805704342903, 848: 0.00021872423072570092, 849: 0.00032620174118974465, 850: 0.00019713602621936808, 851: 0.0007241063020116847, 852: 0.00039828986892702074, 853: 0.00017133897640694953, 854: 0.00030239159100299876, 855: 0.0002692770828523974, 856: 0.0017917652298881774, 857: 0.00024506457712587565, 858: 0.00017576256264600627, 859: 0.0019031399868383897, 860: 0.0007204266876696318, 861: 0.0001836952899324063, 862: 0.00018575406684110846, 863: 0.0001739054587867658, 864: 0.00017506488551893932, 865: 0.0003941784048907381, 866: 0.00022093315618315257, 867: 0.00025332304140115904, 868: 0.00019996730010420877, 869: 0.0003208008146459888, 870: 0.00023740830433701505, 871: 0.0001771981074052937, 872: 0.00046466509535422827, 873: 0.00021039924405759374, 874: 0.00023740830433701505, 875: 0.0001714529536862932, 876: 0.0001769414661218564, 877: 0.0003534249785027531, 878: 0.00024074824612449567, 879: 0.00017869539458356594, 880: 0.0008769753933553127, 881: 0.00017315412591680093, 882: 0.00019351453519706922, 883: 0.0004033468856773032, 884: 0.0003054001152388188, 885: 0.00031825638253348644, 886: 0.00040876222941688784, 887: 0.00032178833442411057, 888: 0.00017512838117682373, 889: 0.00024401864727975137, 890: 0.0002987130128333821, 891: 0.00019975641431629445, 892: 0.0007245633330476382, 893: 0.00020334683885521123, 894: 0.00017958280434567052, 895: 0.0002160467350796406, 896: 0.0008749318597008796, 897: 0.00017256318534730283, 898: 0.0002835750490239007, 899: 0.00017280575972832235, 900: 0.00079523093379754, 901: 0.0001733660155642908, 902: 0.00017384437276503093, 903: 0.0002466913124778657, 904: 0.0001761292635551375, 905: 0.0003820727475934705, 906: 0.0002722231229673526, 907: 0.0005784190779169567, 908: 0.0008132758418219456, 909: 0.00032685303729341466, 910: 0.0001762627916227049, 911: 0.0002192109565638345, 912: 0.00027873864798409715, 913: 0.0007762745004047543, 914: 0.0006661216144770137, 915: 0.00017457574403557228, 916: 0.0002611299687495963, 917: 0.0008312747737773664, 918: 0.000829461235465336, 919: 0.00043419406425505977, 920: 0.000220233112365623, 921: 0.0004163671038526244, 922: 0.00077194313361976, 923: 0.000389515320253522, 924: 0.0004157426592693151, 925: 0.0005673948512490143, 926: 0.0005190610999701988, 927: 0.00047803243051655267, 928: 0.00017315315821565428, 929: 0.0005073404804856181, 930: 0.000570654405833758, 931: 0.0005772935521172218, 932: 0.0024497195213139425, 933: 0.0006088653524445754, 934: 0.00024534521193288715, 935: 0.00029945930091558685, 936: 0.0010151701773415589, 937: 0.0003750816033587476, 938: 0.00017860579373780332, 939: 0.00023528530567298482, 940: 0.00019269754152524416, 941: 0.00017501998437605983, 942: 0.000214343741640517, 943: 0.00017481739230931802, 944: 0.000176972972847732, 945: 0.0002940935109815428, 946: 0.00018267876753211146, 947: 0.0003903505166025791, 948: 0.00017959187888726716, 949: 0.0007207129731863989, 950: 0.0012131637598723482, 951: 0.0004286585826835257, 952: 0.0003507118716553306, 953: 0.000579920817861645, 954: 0.00030347297970038337, 955: 0.0003623779274018834, 956: 0.0005222924751513954, 957: 0.0004137828247499423, 958: 0.0003147129111968513, 959: 0.00017667593063250045, 960: 0.00017667593063250045, 961: 0.00017667593063250045, 962: 0.00026775883600044427, 963: 0.0011580341261284962, 964: 0.00026609418010097464, 965: 0.00018248267612528096, 966: 0.00019773394762628724, 967: 0.00027865724320738666, 968: 0.0002810255964514449, 969: 0.00019896319181080378, 970: 0.00028871596967919576, 971: 0.00314740421202196, 972: 0.00020743760512101608, 973: 0.0001771389189673768, 974: 0.00031545505460683855, 975: 0.0001771389189673768, 976: 0.000769114663265676, 977: 0.00028236497194213356, 978: 0.0002716646285579377, 979: 0.0003296772424278204, 980: 0.00046740815040217026, 981: 0.000769114663265676, 982: 0.0001733660155642908, 983: 0.00021398512806932428, 984: 0.00021970654393469306, 985: 0.00017671010420096842, 986: 0.0002251524094419898, 987: 0.00042823444999635696, 988: 0.00020142994903496277, 989: 0.00027647173614658583, 990: 0.0006411635537750935, 991: 0.00024377904497072076, 992: 0.0002982935863139095, 993: 0.00017465689321047304, 994: 0.000172716427454258, 995: 0.00024095036690708807, 996: 0.00017484150593384044, 997: 0.00022980559593683541, 998: 0.0001762627916227049, 999: 0.00017225464679716947, 1000: 0.000293770913993831, 1001: 0.0003975435014961659, 1002: 0.00017629611124614302, 1003: 0.0001768950135218629, 1004: 0.00017518677880366538}\n"
     ]
    }
   ],
   "source": [
    "print(\"Pagerank score of each node :\")\n",
    "print(page_score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "page_list=[page_score[i] for i in page_score ]\n",
    "plt.title(\"Pagerank Score Distribution\")\n",
    "plt.plot(list_of_nodes,page_list,color=\"r\")\n",
    "plt.xlabel(\"Nodes in Graph\")\n",
    "plt.ylabel(\"Pagerank Score Values \")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "#calculating hub and authority score \n",
    "hub_score,aut_score=nx.hits(G,max_iter=300)\n",
    "#print(hub_score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Hub score for nodes:  {0: 0.0009442074078862398, 1: 0.001471884056042978, 2: 0.0026798792036846833, 3: 0.0023686420687532763, 4: 0.0030546834131705627, 5: 0.004010550696159317, 6: 0.002554368092440953, 7: 0.001154989040087533, 8: 0.0007912590910994357, 9: 0.0003507128487787614, 10: 0.0017611338771962907, 11: 0.0015923870198780038, 12: 0.0015002951260642793, 13: 0.004324930001268329, 14: 0.0018558084929106912, 15: 0.001564938893018887, 16: 0.0028581675439359583, 17: 0.003827900023525237, 18: 0.001932504748206973, 19: 0.0021166671313383916, 20: 0.002547442844743457, 21: 0.004961830502940974, 22: 0.0003853853546200281, 23: 0.0029526786974203357, 24: 0.0009000889077488669, 25: 0.0009763017256986115, 26: 0.000704033413914983, 27: 0.0016347335831272145, 28: 0.0041918803391405544, 29: 0.0017568932407898028, 30: 0.0023817144934461356, 31: 0.0017154050800341077, 32: 0.0008825629387190906, 33: 0.0007923217378113115, 34: 0.0007093198640742322, 35: 0.0020838702316771955, 36: 0.0017680709994897794, 37: 0.000714754829969224, 38: 0.0010847179061365356, 39: 0.0009794423675883984, 40: 0.0012366082825544412, 41: 0.0033910569113011378, 42: 0.003054747569497829, 43: 0.00012059293875687703, 44: 0.0033464716797299587, 45: 0.0014765557925329605, 46: 0.0028244365504802014, 47: 0.001515663013809397, 48: 0.001437587203247295, 49: 0.00034896106125260163, 50: 0.0004191869521221735, 51: 0.002007356842664085, 52: 0.0004900484018530681, 53: 0.0011480184928585584, 54: 0.0014839316557340905, 55: 0.0013163861392848444, 56: 0.0012356044717313638, 57: 0.0016961784534007115, 58: 0.004327390421348144, 59: 0.0012529016334399837, 60: 0.001044329641145221, 61: 0.0013533342687295983, 62: 0.006636869168588805, 63: 0.004338180134754591, 64: 0.004538973535884531, 65: 0.002010873027646552, 66: 0.0008995846736432119, 67: 0.0003615939961359031, 68: 0.0020145262957529837, 69: 0.001934441311742296, 70: 0.0007175526056684826, 71: 0.0004447742316675108, 72: 0.00022759810735738256, 73: 0.0006157249780038614, 74: 0.00258103149078224, 75: 0.0004833809870591091, 76: 0.0005507822095515311, 77: 0.001156207355308354, 78: 0.0011003207414773172, 79: 0.0016056363677583636, 80: 0.002799903633137158, 81: 0.004469976200745572, 82: 0.007331013593319876, 83: 0.00517659659211443, 84: 0.003355794988317531, 85: 0.0009122818890936714, 86: 0.005663604952270591, 87: 0.005320640879745895, 88: 0.0011178646102131841, 89: 0.0021839853265292627, 90: 0.0010355625389828103, 91: 0.0008909869790381556, 92: 0.0010448773617353492, 93: 0.002585130636702457, 94: 0.00098957900759095, 95: 0.0012315530472935654, 96: 0.003248846808676038, 97: 0.00045986370361734654, 98: 0.0006645236861789551, 99: 0.0009862352667974923, 100: 0.0010481695420829424, 101: 0.0006201196397124195, 102: 0.0005055302928570139, 103: 0.0011311384293026363, 104: 0.0007431362200311192, 105: 0.005518866656968296, 106: 0.005022364194587, 107: 0.007059783658562959, 108: 0.001203373925028316, 109: 0.00023830123536755464, 110: 0.00028914752351811993, 111: 0.0001897306793846082, 112: 0.0004047290922616838, 113: 0.0027731586951930606, 114: 0.005323917350429643, 115: 0.004969670008356303, 116: 0.0026175844892617327, 117: 0.0007963225804266739, 118: 0.0010062904465029461, 119: 0.0003316472177868134, 120: 0.00044733764203426366, 121: 0.007491040077482705, 122: 0.0004332459813490296, 123: 0.0011617472576704226, 124: 0.001073451221076105, 125: 0.0008131765311805077, 126: 0.0009738020899149476, 127: 0.001176247905067813, 128: 0.005317255115697692, 129: 0.0054970223023449154, 130: 0.0010424961662132048, 131: 0.002252730884759456, 132: 0.002596557541835843, 133: 0.0034744968483234663, 134: 0.0006052933899992649, 135: 0.0011389308627137223, 136: 0.0009385697088364195, 137: 0.003070941564004472, 138: 0.0009964492992309115, 139: 0.0009845389201536276, 140: 0.0009392398781003817, 141: 0.0018733474654508133, 142: 0.005185148173529273, 143: 0.0018292068942099891, 144: 0.0006360028853816328, 145: 0.003091790483690439, 146: 0.0008961713552928508, 147: 0.0023563939840873706, 148: 0.00046570639912281404, 149: 0.0006277625839142091, 150: 0.0008995550382745822, 151: 0.0014075604939816047, 152: 0.002988624929685179, 153: 0.0026644354348637515, 154: 0.002534440015141162, 155: 0.0024910918029588235, 156: 0.0004986956743422529, 157: 0.0012989509252514923, 158: 0.0016536475834408285, 159: 0.0012980886519520958, 160: 0.008370248188093404, 161: 0.001410732017536448, 162: 0.0020425520137550943, 163: 0.0023412077385854737, 164: 0.0012631998621363005, 165: 0.003917395562185126, 166: 0.005568700736398025, 167: 0.001546681621738785, 168: 0.0024264196144590648, 169: 0.004647861988065474, 170: 0.0033691602840193744, 171: 0.0013571251573377234, 172: 0.003173937278919457, 173: 0.0032340163086640532, 174: 0.0025085333942923985, 175: 0.0003424354462815184, 176: 0.0006650609336458348, 177: 0.0011527078928878396, 178: 0.000543898872627007, 179: 0.001536047039416978, 180: 0.002765221398239781, 181: 0.0012223141940152147, 182: 0.0006655766941970938, 183: 0.005754685636814236, 184: 0.0031147765021561392, 185: 0.0002891121640603378, 186: 0.0012266909820536581, 187: 0.002511408454078559, 188: 0.001677526778406495, 189: 0.002069006200706044, 190: 0.001579025673943441, 191: 0.0017090250471845831, 192: 0.0004608213364359145, 193: 0.0007078857698480371, 194: 0.001263134987855974, 195: 0.0010274596505955207, 196: 0.0009079940542429581, 197: 0.001018459632789649, 198: 0.001072759246028187, 199: 0.0014992547836896793, 200: 0.0007579510878054864, 201: 0.0020457756339486784, 202: 0.00017440537057272407, 203: 0.0014964449335467664, 204: 0.000878497093095388, 205: 0.0007634089931779965, 206: 0.0013797498008493861, 207: 0.0009355408698125142, 208: 0.0018145999557425956, 209: 0.0029032131686483466, 210: 0.003753656901320108, 211: 0.0049290127323886055, 212: 0.005058482630810549, 213: 0.0005317647148866116, 214: 0.0016709008132970945, 215: 0.002804342077159309, 216: 0.0008141937476999215, 217: 0.0007249783441383184, 218: 0.0018100458305101285, 219: 0.0006355887782178812, 220: 0.000629976141882347, 221: 0.0021504450462367696, 222: 0.002376521949233234, 223: 0.0019868858666039118, 224: 0.00048397835366799775, 225: 0.0009516231532939186, 226: 0.0025625932366175625, 227: 0.0006294832719521589, 228: 0.0008442557676901519, 229: 0.0011075676189678126, 230: 0.0012268952137422728, 231: 0.0012314252428462854, 232: 0.0018229115807426586, 233: 0.002564355964501171, 234: 0.0017401960046290468, 235: 0.0006335470184801961, 236: 0.002215041928402033, 237: 0.0009443395865254072, 238: 0.0009909928353586505, 239: 0.0003528834722005402, 240: 0.0005968856827038506, 241: 0.0004423232347306556, 242: 0.0011292730855569362, 243: 0.0016249510914620585, 244: 0.0008216613065403818, 245: 0.0018383572111077258, 246: 0.00022828707504753018, 247: 0.00018755114103310774, 248: 0.0006045642229136691, 249: 0.006277707035274858, 250: 0.0007842130276285672, 251: 0.0011179514615997116, 252: 0.003950627947191048, 253: 0.001821328652664862, 254: 0.003465917951054763, 255: 0.0029083881959239117, 256: 0.005141573658357932, 257: 0.00045564035751012117, 258: 0.0018184163730567407, 259: 0.0006901068131374345, 260: 0.00044704694709621004, 261: 0.0016534439250951208, 262: 0.0005961353897931916, 263: 0.002224336231020891, 264: 0.0006217165701071174, 265: 0.0004328331453943476, 266: 0.00042672212701769675, 267: 0.0001809337257737132, 268: 0.0010931309306441, 269: 0.0030740072985501487, 270: 0.000652048166626174, 271: 0.0022001262363328875, 272: 0.0010887337998323422, 273: 0.000640708607847895, 274: 0.0005818752611653322, 275: 0.000860659179221446, 276: 0.00021278789964333138, 277: 0.0005243548449942793, 278: 0.0020080936361628254, 279: 0.0005807411175884708, 280: 0.004316490582815256, 281: 0.002195594507707249, 282: 0.004942289893398537, 283: 0.005215877916064682, 284: 0.0010949890913763667, 285: 0.00291688278725861, 286: 0.0015259018017989834, 287: 0.0007625223194548096, 288: 0.00128924552467546, 289: 0.00018364157117994377, 290: 0.003180919127100588, 291: 0.0009150939405993574, 292: 0.0012217269970050519, 293: 0.000416810414579659, 294: 0.0006676939301870181, 295: 0.0019702410178486745, 296: 0.0025619926735977096, 297: 0.0003818824612413671, 298: 0.0004815572852103493, 299: 0.00050064048949964, 300: 0.0027644648387374375, 301: 0.003290474817944252, 302: 0.0009545811094578285, 303: 0.004118480524526475, 304: 0.001133331061620144, 305: 0.0015856687849938656, 306: 0.0018364179171223838, 307: 0.0005119126557341083, 308: 0.0016768260302432577, 309: 0.0009551539406338056, 310: 0.001281282707499213, 311: 0.0009533683402248992, 312: 0.0009771040901324212, 313: 0.0003627800160961766, 314: 0.0018924090822693643, 315: 0.0001994788855659277, 316: 0.0010901491678823798, 317: 0.000527875593571957, 318: 0.002234672519284771, 319: 0.00037505992415365867, 320: 0.0010366624395628243, 321: 0.000993488007597936, 322: 0.0004491841159089907, 323: 0.000843998971795654, 324: 0.00039557468214700684, 325: 0.000902579891507489, 326: 0.0017761097519817671, 327: 0.0012035027551446412, 328: 0.0004891890505903717, 329: 0.003905563625462217, 330: 0.00019831575890065487, 331: 0.0005920171200334315, 332: 0.0002633555496535439, 333: 0.004798954410304658, 334: 0.0002488729433585629, 335: 0.0002822698599297373, 336: 0.001127701943830617, 337: 0.0014078671302100872, 338: 0.002265181487055978, 339: 0.001463196357260599, 340: 0.0039453766767105205, 341: 0.00028032229952130614, 342: 0.0017238304653079553, 343: 0.0007925749877665031, 344: 0.000212917309217747, 345: 0.0007822611500805693, 346: 0.0009894418856933277, 347: 0.0006243311306984728, 348: 8.679383212139125e-05, 349: 0.0004999560691259596, 350: 0.0003986844696627013, 351: 0.0021068078695776946, 352: 0.0006163317485309707, 353: 0.00133445991991923, 354: 0.00018434912686298124, 355: 0.002871757358642963, 356: 0.0022387074892022533, 357: 0.0020082192409486446, 358: 0.0006474610499555838, 359: 0.0003443890871642273, 360: 0.0006665050850428625, 361: 0.001538807155787157, 362: 0.0027850526081250448, 363: 0.0025019286836859573, 364: 0.0004120310566358099, 365: 0.003409333506386283, 366: 0.003762012249128671, 367: 0.003646393662940634, 368: 0.0012224269134618808, 369: 0.00031334734082710944, 370: 0.0007731208942434246, 371: 0.0036818484388446496, 372: 0.0013216846189746917, 373: 0.0014802698492974592, 374: 0.000339344585648129, 375: 0.0023052167872741718, 376: 0.0010123863026588182, 377: 0.0026490390482057694, 378: 0.000529757068948142, 379: 0.0010470194410323384, 380: 0.0007727560050514805, 381: 0.0005526326435567778, 382: 0.00012460746115118074, 383: 0.00010748818697884411, 384: 0.0003864346336155455, 385: 0.0005380210661368657, 386: 0.00020731305844526906, 387: 0.0007346351374681319, 388: 0.0007430181626910062, 389: 0.0009454428625888217, 390: 0.000866508976127806, 391: 0.0003146066730429613, 392: 0.0004421323031808955, 393: 0.002650926937883073, 394: 0.0006280547260410946, 395: 0.0013247676381264919, 396: 0.0002507449162686992, 397: 0.0007001013932456405, 398: 9.025646462678596e-05, 399: 0.000597863803178783, 400: 0.001304853199160082, 401: 0.0015299294737579547, 402: 0.00024639166758974704, 403: 0.0004982915239648542, 404: 0.0030208726389644148, 405: 0.004658332565101933, 406: 0.00041292677198238425, 407: 0.00043073079406715306, 408: 0.0014827824627686738, 409: 0.0018934251108166805, 410: 0.0006382038419834318, 411: 0.0028012091439942387, 412: 0.0018155068573631737, 413: 0.0007995834899959935, 414: 3.0110288580289207e-05, 415: 7.535201475382657e-05, 416: 7.510418542226029e-05, 417: 0.001944781905968343, 418: 0.001108745359054722, 419: 0.003584435682456898, 420: 0.0043353246716947595, 421: 0.0012605781321431404, 422: 0.0018731247263112146, 423: 0.0011678484992376711, 424: 0.004780514101751684, 425: 0.0007602663937195049, 426: 0.001924957612958309, 427: 0.002400368744754402, 428: 0.0005657057844684781, 429: 0.0007428007226178348, 430: 0.0018648116734066207, 431: 0.0009617313830472187, 432: 0.00020776515349603953, 433: 0.0006852178560227838, 434: 0.0063242834229293625, 435: 0.0003261859466689755, 436: 0.00010923332702649013, 437: 0.0009185519902970071, 438: 0.0025415063477989596, 439: 0.0001358488907617053, 440: 0.0016353396683057456, 441: 0.001877816768319931, 442: 0.0006935880811465528, 443: 0.001284944181695331, 444: 0.000844153120955953, 445: 0.0012727872123879228, 446: 0.0005534909415175317, 447: 0.0005019329149548395, 448: 0.0009195263193426329, 449: 3.901723595731619e-07, 450: 0.0026251973673345557, 451: 0.00015570748926505433, 452: 0.000552889286017533, 453: 0.0016636512143679393, 454: 0.0005659027902827365, 455: 0.0015078807373283373, 456: 0.00012074429979677678, 457: 0.0007339270612371225, 458: 0.0018528099866922455, 459: 0.002115036587557105, 460: 0.0017929508021699294, 461: 0.0003941840993033929, 462: 0.0012431345077148516, 463: 1.6320148969415677e-05, 464: 0.001837116077385251, 465: 0.00034572880117043464, 466: 0.0008192442523553932, 467: 0.0011556100965308342, 468: 0.0008108659531312906, 469: 0.000479038176271383, 470: 0.0005712356031522262, 471: 0.0005702871410519213, 472: 0.0001505449903252883, 473: 0.0035826800943201276, 474: 0.0033344767149145063, 475: 6.569348005151408e-05, 476: 0.0002427383523026278, 477: 0.0002526198742195055, 478: 0.0014358399012802656, 479: 3.4082315107121314e-05, 480: 0.0017850181865580379, 481: 0.0013901316802229235, 482: 0.0011884472465146794, 483: 0.00129339620591467, 484: 0.0007577023098108524, 485: 0.0007706500795293336, 486: 0.002578660969798382, 487: 0.00014023576494929157, 488: 0.00015343858657907095, 489: 0.0017316799135831257, 490: 0.002031464676109055, 491: 0.0003728720718147435, 492: 0.001433366123719909, 493: 0.0031605486456599908, 494: 0.0036320079683323445, 495: 0.0031150945249527637, 496: 0.0005574980882971535, 497: 0.00045172194606425925, 498: 0.0014443213278137895, 499: 0.0005561966259297672, 500: 0.0002247424910145896, 501: 0.0002820117148858769, 502: 0.0002750067551421992, 503: 0.0001494791569215946, 504: 0.0008425075794502194, 505: 0.00024486216313361614, 506: 0.0017651782445090808, 507: 8.952387546483012e-05, 508: 0.0011130109711715705, 509: 0.001756703746985796, 510: 0.0003859592791830432, 511: 0.0004950539072727627, 512: 0.000218793733461363, 513: 0.001907992012426494, 514: 0.00026450175675264497, 515: 0.001128993294371052, 516: 0.0002916686820097748, 517: 0.0002916197071768165, 518: 0.0031202918569457577, 519: 0.0005845797504322709, 520: 0.001687671857283386, 521: 0.000369590818939186, 522: 5.304477853131991e-05, 523: 0.00036946731359912015, 524: 2.9492407666808213e-06, 525: 0.0005546539682948409, 526: 0.0018335681249772723, 527: 0.0005645669896725329, 528: 0.0002730761155228327, 529: 0.0006302547693325818, 530: 0.0002541388996591043, 531: 0.002303799613449905, 532: 0.0006529861017275664, 533: 0.004448020578110257, 534: 0.00014503010801723658, 535: 0.0002254213592575791, 536: 0.00048583626936453796, 537: 0.0009798061522502076, 538: 0.00013673069242835958, 539: 0.00025248710844695993, 540: 0.0003982167098292873, 541: 0.0008742497179652894, 542: 0.0005361159321554416, 543: 0.0013855984231581915, 544: 0.0012610021166400154, 545: 0.0006913720609413482, 546: 0.003420143272774181, 547: 0.000737040663749452, 548: 0.001624061718610597, 549: 0.001773804548203477, 550: 0.001350322721594626, 551: 0.0007348921300473661, 552: 0.0014870406053333431, 553: 0.0002047461468240923, 554: 0.0002664735978374399, 555: 0.0003772054038131031, 556: 0.0002153159716463217, 557: 0.0006928147210571854, 558: 0.0001192781676131528, 559: 0.00045166748889691487, 560: 0.0013323224761180512, 561: 1.6108670722885244e-05, 562: 0.0008081099063292841, 563: 0.0005635430797780065, 564: 0.0009452485275380449, 565: 0.00014696046330674132, 566: 0.0002058882796549902, 567: 0.000148550360385085, 568: 0.0010996205673028234, 569: 0.0006734472480976728, 570: 0.00018604300330582623, 571: 0.0007780567804349062, 572: 0.0008619830695656846, 573: 0.0005295402242468871, 574: 0.00011166726304184472, 575: 0.00023516875454007886, 576: 0.000957714099166711, 577: 0.0006011861449037805, 578: 7.790234758541374e-06, 579: 0.00035791427382209773, 580: 6.057999474459264e-60, 581: 0.0008611180096696555, 582: 0.0006571690214407154, 583: 4.7891976030702585e-06, 584: 0.00013601867637461477, 585: 0.0003004738473024238, 586: 0.0008961262977883592, 587: 0.00038120584164061063, 588: 0.0005803070757070905, 589: 0.0012386559232288575, 590: 0.0006975699742506628, 591: 0.0005560291305728619, 592: 0.00044975176406907214, 593: 0.0009711487477402193, 594: 0.0003873438535352963, 595: 6.35009992497036e-06, 596: 0.0001893586629640451, 597: 0.0006189602702885034, 598: 0.00020129315326838947, 599: 0.00040223758212967314, 600: 0.0003149092745127619, 601: 0.0016372350415637762, 602: 0.0005061275536342836, 603: 3.901723595731619e-07, 604: 0.0002823131080985865, 605: 4.12766660685488e-06, 606: 4.036573006589288e-05, 607: 0.0012408983147366385, 608: 0.0002889328800418022, 609: 0.00017597958561650203, 610: 0.0005385081868162297, 611: 0.0009996987188550985, 612: 0.0019158494553933952, 613: 0.00014463134074873044, 614: 7.899614332352561e-05, 615: 0.00210815415448987, 616: 0.00012833602432909107, 617: 8.644336340988022e-05, 618: 0.00019972763210010012, 619: 0.00023183582602912876, 620: 0.00011611289819912069, 621: 0.00044421132159063554, 622: 1.2841391799735043e-05, 623: 0.00027812863355317053, 624: 0.00034629152370249845, 625: 0.00022752705241790389, 626: 6.894543706681763e-05, 627: 0.000502956242604682, 628: 8.992485504017621e-05, 629: 5.7301990664536935e-05, 630: 5.818203140532862e-05, 631: 5.515563372398896e-05, 632: 2.6597804222334848e-05, 633: 6.057999474459264e-60, 634: 4.071767522167268e-06, 635: 0.0003101537077907014, 636: 6.470918598487586e-05, 637: 9.46251592683937e-05, 638: 0.0007103778247859174, 639: 0.00011839436739984502, 640: 0.0003593149429385928, 641: 0.0008747734749020987, 642: 0.0011092078993597632, 643: 0.00038632974670280433, 644: 0.0005478944976057311, 645: 4.651976709281449e-05, 646: 0.00013105844556873914, 647: 0.0006071340250049485, 648: 6.057999474459264e-60, 649: 0.00025810482783671774, 650: 3.633896640773596e-05, 651: 0.0005767797736613609, 652: 0.00024850238906774433, 653: 6.057999474459264e-60, 654: 0.001321717747537308, 655: 0.0009406186611844266, 656: 0.00012311862172822695, 657: 3.983331736415276e-05, 658: 6.057999474459264e-60, 659: 3.477717948165109e-05, 660: 6.057999474459264e-60, 661: 0.0010231961217580163, 662: 0.0007264769913224915, 663: 0.0006125335883910184, 664: 0.0003490315134847363, 665: 0.0011424697408008784, 666: 0.000701359850568333, 667: 0.000996506152039075, 668: 1.683194586852956e-05, 669: 0.00015643607195589085, 670: 6.057999474459264e-60, 671: 0.001047341093035357, 672: 0.00042475928765877785, 673: 4.089566043453927e-05, 674: 0.0002048330250998589, 675: 6.057999474459264e-60, 676: 0.00012811772999734856, 677: 0.00010137824996286377, 678: 0.00028025887238887146, 679: 0.0005277538443050391, 680: 1.0013455469252563e-05, 681: 0.0006272341216653197, 682: 3.6688459514938834e-05, 683: 0.0002650954047301581, 684: 6.057999474459264e-60, 685: 0.0012123910675479778, 686: 0.0003562130291217028, 687: 0.00030267927125978165, 688: 1.7954733470002844e-05, 689: 3.2273871518796286e-05, 690: 0.0009033740397517889, 691: 6.057999474459264e-60, 692: 2.9465718313476876e-05, 693: 0.00037548112899602934, 694: 0.00023867684815047005, 695: 0.0008788602534319438, 696: 0.00021496148498442456, 697: 7.423638733275875e-05, 698: 0.0007115258247234151, 699: 0.00026132554056791484, 700: 0.00027031910182176753, 701: 1.6108670722885244e-05, 702: 0.00014097018461315793, 703: 6.057999474459264e-60, 704: 9.268242518051092e-05, 705: 0.00029621970356582687, 706: 0.0002531881581239548, 707: 0.0004495505709297224, 708: 0.0005654854320494356, 709: 6.0183214502300155e-05, 710: 0.00040611043905071023, 711: 6.057999474459264e-60, 712: 9.711142056888176e-05, 713: 0.00010575268748784854, 714: 0.0008755139065579451, 715: 0.00016918398592871556, 716: 5.265141012874687e-05, 717: 0.00036156502373131926, 718: 0.00019025073809403092, 719: 0.0003135139244481398, 720: 0.0002757038042716267, 721: 0.00013168463698823304, 722: 0.00011557887497961902, 723: 0.00017652575203746574, 724: 0.00013781504219596567, 725: 0.00040474966884922973, 726: 0.0009412863710391479, 727: 0.000151129163297018, 728: 0.000385006050831946, 729: 0.00017198070428285547, 730: 0.0007132183471016329, 731: 6.057999474459264e-60, 732: 6.057999474459264e-60, 733: 0.00022632394255864545, 734: 0.00044116497141289996, 735: 9.704447735636531e-05, 736: 0.0004270540605007942, 737: 2.888375127917683e-05, 738: 0.0010323178299874428, 739: 0.0002316314491945192, 740: 0.00018980260693835966, 741: 9.189747451561143e-05, 742: 0.00011904464175258707, 743: 1.4294256156943043e-05, 744: 6.057999474459264e-60, 745: 0.00021270423057872292, 746: 6.057999474459264e-60, 747: 0.0017096578816508305, 748: 0.0014826139850065774, 749: 0.00018609386148655619, 750: 1.4485409910589839e-05, 751: 0.00026797441758173447, 752: 0.00032919553541086886, 753: 0.00046481205991808606, 754: 0.0004921662911068002, 755: 6.387067738964998e-05, 756: 0.0007312352732984552, 757: 5.963723653389204e-05, 758: 0.0003834381275276791, 759: 0.00012447657512341769, 760: 7.408284611781289e-05, 761: 3.435099652439479e-05, 762: 3.7794741673359066e-06, 763: 5.265141012874687e-05, 764: 0.0002542288646206173, 765: 0.00042450000713545213, 766: 6.459428977747357e-05, 767: 0.0003695809188745442, 768: 0.0002821868794690619, 769: 0.00018333545713768165, 770: 1.7292075241840387e-05, 771: 0.00039142638827641276, 772: 6.057999474459264e-60, 773: 6.115563596728161e-05, 774: 3.779728103813318e-05, 775: 1.7264378015234586e-05, 776: 0.0005990616926131782, 777: 0.0004222865386389962, 778: 0.0001695981116219421, 779: 9.269667243911773e-05, 780: 4.3484752571244335e-05, 781: 2.4802671588159143e-05, 782: 0.0001530821691432019, 783: 0.0003693418560902742, 784: 3.677490266723522e-05, 785: 0.00012779811655122262, 786: 0.000312159854220985, 787: 6.429593359336098e-05, 788: 4.7467068228068465e-06, 789: 0.0003228989511577197, 790: 1.634020112230742e-05, 791: 0.00012511824719773075, 792: 9.70697034252233e-05, 793: 5.731798925477829e-05, 794: 9.47825932955186e-06, 795: 2.520069321344045e-05, 796: 0.00019161929330181122, 797: 8.858527640673347e-05, 798: 6.057999474459264e-60, 799: 0.00025671669621803373, 800: 0.00014610316703706514, 801: 0.00010204051773334348, 802: 0.0002499651123839031, 803: 0.000467629698388579, 804: 0.00012598264513801694, 805: 7.117333610437546e-05, 806: 0.00011415510733333078, 807: 0.00022805432928209852, 808: 6.057999474459264e-60, 809: 0.001343331913739696, 810: 0.0004893768910795667, 811: 0.00030642408254367385, 812: 0.0018684936341988572, 813: 0.000529116208829154, 814: 8.099883257860595e-05, 815: 0.0004965470133823433, 816: 0.0004850157049567581, 817: 9.800559242906632e-05, 818: 0.0005787754626574138, 819: 6.261093551307663e-05, 820: 0.0044835896662049, 821: 0.0001388001985441582, 822: 0.0005198960493067842, 823: 0.00022965837288460822, 824: 2.2145730467727645e-05, 825: 2.9392348741730365e-05, 826: 0.0006550415046077269, 827: 2.287336964095732e-05, 828: 0.001303765988787795, 829: 9.683919050025538e-05, 830: 7.164398864093624e-06, 831: 2.3563235039527945e-05, 832: 0.0006969497199541126, 833: 0.00035483562047230604, 834: 9.148143634159486e-05, 835: 0.00015550986921649651, 836: 1.8578108053013478e-05, 837: 9.268242518051092e-05, 838: 3.304326528499475e-05, 839: 5.647226351529308e-05, 840: 0.0005488689284474042, 841: 7.252629926188357e-05, 842: 0.00010596958394030263, 843: 4.3143623899163916e-05, 844: 0.00011338727316683863, 845: 0.0008546636087653811, 846: 5.418893411141911e-08, 847: 0.0006066300312651511, 848: 0.00011406503248542906, 849: 0.00020903593834793917, 850: 6.374608938617589e-05, 851: 0.00019978955222071563, 852: 4.70961417811059e-05, 853: 9.499606302356831e-05, 854: 0.0004034538961453589, 855: 0.00018156669581016448, 856: 0.002192533405426373, 857: 0.000245406457358643, 858: 2.379650098478957e-05, 859: 0.002711922328831122, 860: 0.000514177692592606, 861: 5.1661962600594754e-06, 862: 5.472034409467523e-06, 863: 2.197926292126963e-05, 864: 3.629836952120634e-05, 865: 0.00025406961219333357, 866: 0.00011467872864397006, 867: 0.0001373653484884062, 868: 6.540233093689592e-05, 869: 6.749815954711248e-05, 870: 5.5733713576593495e-05, 871: 1.595694080963099e-05, 872: 0.000262949354601924, 873: 2.9676604496160246e-05, 874: 5.5733713576593495e-05, 875: 4.365794151158341e-05, 876: 1.2248632136502223e-05, 877: 0.00043797410293875376, 878: 9.671418702254546e-05, 879: 1.463324216203514e-05, 880: 0.001016982209588481, 881: 4.209890655065266e-05, 882: 0.0001806224001162026, 883: 0.00028337646879942404, 884: 2.3834381703531097e-05, 885: 0.0001680149543584015, 886: 0.00029954782150286844, 887: 4.936652439427331e-05, 888: 2.3525533220668512e-05, 889: 0.0001429509946862616, 890: 9.834405628929657e-05, 891: 7.085564210683917e-05, 892: 0.0008097222038929286, 893: 2.821819105777029e-05, 894: 1.5595118208586527e-05, 895: 0.000156373954798447, 896: 0.0012368334942681422, 897: 2.882318823981558e-05, 898: 3.435691672985471e-05, 899: 3.4726163098122016e-05, 900: 0.0007490673784115458, 901: 3.979359124517064e-05, 902: 5.19691474905614e-05, 903: 3.219410617368929e-05, 904: 1.2873724511006633e-05, 905: 0.00016141358624111225, 906: 0.00024160520862201394, 907: 0.000179315471477036, 908: 0.0004938246811089632, 909: 0.0004469410052794294, 910: 2.6057109080433252e-05, 911: 0.00011552806476227419, 912: 5.800070463114061e-05, 913: 0.00030706411055092, 914: 0.0006536534709091544, 915: 1.4055891353189385e-05, 916: 3.901723595731619e-07, 917: 0.0004977280663813752, 918: 0.0006018994261034077, 919: 0.00030174714326225015, 920: 2.0124992801737202e-05, 921: 0.00029785268552662454, 922: 0.0004159938137881329, 923: 2.899173826595308e-05, 924: 0.0003522019890695016, 925: 0.00042864076858840537, 926: 0.000289859880149192, 927: 0.00017308042683501353, 928: 6.387067738964998e-05, 929: 0.00014865846603138346, 930: 0.00021786643200703176, 931: 0.0002905826123619806, 932: 0.00381913391724328, 933: 0.00021971781077394012, 934: 0.00011861229578739064, 935: 5.125820227944064e-05, 936: 0.00047769292862872025, 937: 0.0001588673022031524, 938: 1.2954203575310856e-05, 939: 3.995735005798795e-05, 940: 0.00010239996494679117, 941: 2.6810404991990274e-05, 942: 2.018534951076549e-05, 943: 2.5530595125030996e-05, 944: 1.9211871559963346e-05, 945: 5.2506435950879e-05, 946: 1.1335408821047581e-05, 947: 0.00016009943379849856, 948: 7.161073263730042e-06, 949: 0.0006163592230766262, 950: 0.0014066693608136849, 951: 0.00011071338062294216, 952: 0.00017273236634423054, 953: 0.00028274777276793647, 954: 0.00038668497375913006, 955: 0.00018407259688023794, 956: 0.0003313420225840386, 957: 0.00010767734839595483, 958: 4.798986746525218e-05, 959: 3.4326533047565434e-05, 960: 3.4326533047565434e-05, 961: 3.4326533047565434e-05, 962: 1.2317585226406878e-05, 963: 0.0014240071560535188, 964: 0.00010789618808409304, 965: 6.1899963733774805e-06, 966: 9.110633858535125e-05, 967: 8.416315079376422e-05, 968: 4.746400612718883e-05, 969: 6.312516528211867e-05, 970: 0.00022497105312818856, 971: 0.0013584032799615344, 972: 2.6742525977442894e-05, 973: 1.7602335877709585e-05, 974: 0.00023560225103251914, 975: 1.7602335877709585e-05, 976: 0.000522098209653629, 977: 5.293938505996515e-05, 978: 0.0001375519022467248, 979: 0.0001465931941012782, 980: 0.00029509359651838684, 981: 0.0005220982096536291, 982: 3.979359124517064e-05, 983: 0.00016710815037395384, 984: 0.00010836832374355839, 985: 1.3118610651964062e-05, 986: 6.512600624357402e-05, 987: 0.00035926164050409045, 988: 4.7961818445427374e-05, 989: 6.297019342622159e-05, 990: 0.0004997179717523512, 991: 0.00010474808969385347, 992: 7.216614317094647e-05, 993: 1.9214054711681497e-05, 994: 3.309977661327918e-05, 995: 1.2583802377263378e-06, 996: 1.9440985688608358e-05, 997: 3.651037867223917e-05, 998: 2.6057109080433252e-05, 999: 4.006375379099787e-05, 1000: 0.00016133876778437033, 1001: 0.000193696916952152, 1002: 1.7264378015234586e-05, 1003: 2.3563235039527945e-05, 1004: 1.705787324646579e-05}\n"
     ]
    }
   ],
   "source": [
    "print(\"Hub score for nodes: \",hub_score)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Authority score for nodes:  {0: 0.0009442074079025189, 1: 0.0014718840560658903, 2: 0.0026798792035567344, 3: 0.0023686420686485138, 4: 0.003054683413041945, 5: 0.004010550696113614, 6: 0.002554368092370605, 7: 0.0011549890401051555, 8: 0.0007912590911097717, 9: 0.00035071284879081366, 10: 0.0017611338771957225, 11: 0.0015923870198888428, 12: 0.0015002951260792517, 13: 0.004324930001265012, 14: 0.0018558084929801754, 15: 0.0015649388929981972, 16: 0.0028581675439217, 17: 0.003827900023531747, 18: 0.001932504748235229, 19: 0.0021166671313521245, 20: 0.002547442844736185, 21: 0.004961830502933713, 22: 0.0003853853546155596, 23: 0.002952678697449691, 24: 0.0009000889077623575, 25: 0.0009763017257194839, 26: 0.000704033413935539, 27: 0.0016347335831651555, 28: 0.004191880339169909, 29: 0.0017568932408205307, 30: 0.0023817144934858868, 31: 0.00171540508005197, 32: 0.0008825629387410931, 33: 0.0007923217378296937, 34: 0.0007093198640898424, 35: 0.002083870231707493, 36: 0.0017680709995129067, 37: 0.000714754829987156, 38: 0.0010847179061628678, 39: 0.000979442367611112, 40: 0.0012366082825870474, 41: 0.003391056911347895, 42: 0.003054747569506283, 43: 0.00012059293876118184, 44: 0.0033464716797466628, 45: 0.0014765557925086122, 46: 0.002824436550438114, 47: 0.0015156630138380876, 48: 0.0014375872032581856, 49: 0.00034896106124982906, 50: 0.00041918695211895274, 51: 0.0020073568427150324, 52: 0.0004900484018735588, 53: 0.0011480184928935179, 54: 0.0014839316556366634, 55: 0.00131638613920415, 56: 0.0012356044716345597, 57: 0.0016961784532827215, 58: 0.004327390421207139, 59: 0.0012529016333363678, 60: 0.0010443296412005955, 61: 0.0013533342687867015, 62: 0.006636869168579892, 63: 0.004338180134622093, 64: 0.00453897353589195, 65: 0.002010873027698208, 66: 0.0008995846736363657, 67: 0.0003615939961388825, 68: 0.0020145262957506176, 69: 0.0019344413117410994, 70: 0.0007175526056660855, 71: 0.00044477423166307994, 72: 0.00022759810735718962, 73: 0.0006157249780125787, 74: 0.002581031490800326, 75: 0.0004833809870660359, 76: 0.0005507822095537282, 77: 0.0011562073553048645, 78: 0.001100320741481089, 79: 0.0016056363677759845, 80: 0.002799903633122331, 81: 0.004469976200719117, 82: 0.007331013593332835, 83: 0.005176596592095371, 84: 0.0033557949882977445, 85: 0.0009122818891123996, 86: 0.005663604952314919, 87: 0.0053206408797143, 88: 0.0011178646101700667, 89: 0.002183985326454737, 90: 0.0010355625389851626, 91: 0.0008909869790343067, 92: 0.0010448773617301207, 93: 0.002585130636758658, 94: 0.000989579007632783, 95: 0.0012315530473407637, 96: 0.0032488468086378855, 97: 0.0004598637036113564, 98: 0.0006645236861747728, 99: 0.0009862352667921177, 100: 0.0010481695420783133, 101: 0.0006201196397046901, 102: 0.0005055302928307654, 103: 0.0011311384293461889, 104: 0.0007431362200610933, 105: 0.005518866656956394, 106: 0.0050223641945920565, 107: 0.0070597836585233765, 108: 0.001203373925029615, 109: 0.00023830123536821549, 110: 0.00028914752351659435, 111: 0.00018973067938332004, 112: 0.00040472909226231285, 113: 0.00277315869523264, 114: 0.00532391735042893, 115: 0.004969670008365645, 116: 0.0026175844892997223, 117: 0.0007963225804220442, 118: 0.001006290446503372, 119: 0.0003316472177894781, 120: 0.0004473376420456697, 121: 0.007491040077466661, 122: 0.0004332459813712312, 123: 0.0011617472576902997, 124: 0.0010734512210694154, 125: 0.00081317653117528, 126: 0.0009738020898490408, 127: 0.0011762479050755638, 128: 0.005317255115748642, 129: 0.005497022302388391, 130: 0.0010424961662404172, 131: 0.0022527308846835617, 132: 0.002596557541760914, 133: 0.0034744968483875044, 134: 0.0006052933899995584, 135: 0.001138930862734809, 136: 0.0009385697088538648, 137: 0.003070941563899333, 138: 0.000996449299166178, 139: 0.0009845389201402542, 140: 0.0009392398780783387, 141: 0.001873347465471808, 142: 0.0051851481735154855, 143: 0.0018292068942313774, 144: 0.0006360028853779519, 145: 0.0030917904836632753, 146: 0.0008961713552983712, 147: 0.002356393984081579, 148: 0.00046570639913524686, 149: 0.0006277625839328197, 150: 0.000899555038306788, 151: 0.0014075604940054567, 152: 0.0029886249296786492, 153: 0.002664435434848033, 154: 0.002534440015121861, 155: 0.0024910918029557275, 156: 0.0004986956743599385, 157: 0.0012989509253011735, 158: 0.0016536475833957565, 159: 0.0012980886519289067, 160: 0.008370248188097694, 161: 0.001410732017542732, 162: 0.0020425520137345742, 163: 0.0023412077385765433, 164: 0.001263199862104852, 165: 0.003917395562237173, 166: 0.0055687007363831665, 167: 0.0015466816218072442, 168: 0.002426419614502388, 169: 0.004647861988074011, 170: 0.0033691602840313756, 171: 0.001357125157362638, 172: 0.0031739372789824495, 173: 0.0032340163086535508, 174: 0.00250853339420359, 175: 0.00034243544625734627, 176: 0.0006650609336737635, 177: 0.001152707892921721, 178: 0.0005438988726573681, 179: 0.0015360470394616228, 180: 0.002765221398267348, 181: 0.0012223141940672147, 182: 0.0006655766942382, 183: 0.00575468563679976, 184: 0.003114776502150436, 185: 0.00028911216405751454, 186: 0.0012266909820564313, 187: 0.0025114084540766397, 188: 0.0016775267784088354, 189: 0.00206900620071251, 190: 0.0015790256739455116, 191: 0.0017090250472055635, 192: 0.00046082133639383356, 193: 0.0007078857697887098, 194: 0.001263134987771533, 195: 0.0010274596505212594, 196: 0.0009079940542756754, 197: 0.001018459632821577, 198: 0.0010727592460572737, 199: 0.0014992547837274015, 200: 0.0007579510878384432, 201: 0.0020457756339925786, 202: 0.00017440537057963047, 203: 0.0014964449335822794, 204: 0.0008784970931330207, 205: 0.0007634089932093878, 206: 0.0013797498009000886, 207: 0.0009355408698379182, 208: 0.001814599955663885, 209: 0.002903213168582423, 210: 0.0037536569012672533, 211: 0.004929012732272197, 212: 0.005058482630787888, 213: 0.000531764714904743, 214: 0.0016709008133339428, 215: 0.002804342077173072, 216: 0.0008141937476897511, 217: 0.0007249783441295221, 218: 0.0018100458305373047, 219: 0.0006355887782362878, 220: 0.0006299761418942886, 221: 0.0021504450462572775, 222: 0.002376521949243883, 223: 0.001986885866613683, 224: 0.00048397835367328996, 225: 0.0009516231533039633, 226: 0.0025625932366348577, 227: 0.0006294832719562394, 228: 0.0008442557677045379, 229: 0.0011075676189806853, 230: 0.001226895213739539, 231: 0.0012314252429007466, 232: 0.0018229115808094801, 233: 0.0025643559644635845, 234: 0.0017401960045983571, 235: 0.0006335470184593764, 236: 0.002215041928360414, 237: 0.0009443395864999934, 238: 0.0009909928353327062, 239: 0.0003528834721850439, 240: 0.0005968856826852508, 241: 0.00044232323471817464, 242: 0.001129273085536142, 243: 0.0016249510914121876, 244: 0.0008216613065188668, 245: 0.0018383572111224046, 246: 0.0002282870750536001, 247: 0.00018755114103924, 248: 0.0006045642229170498, 249: 0.006277707035255551, 250: 0.0007842130276567603, 251: 0.0011179514616214536, 252: 0.003950627947053814, 253: 0.0018213286526586163, 254: 0.0034659179510334063, 255: 0.0029083881959079986, 256: 0.0051415736583513595, 257: 0.00045564035752831045, 258: 0.00181841637305347, 259: 0.0006901068131370033, 260: 0.0004470469470966752, 261: 0.001653443925118469, 262: 0.0005961353898081607, 263: 0.002224336231037862, 264: 0.0006217165701257425, 265: 0.0004328331454104126, 266: 0.00042672212703189486, 267: 0.0001809337257814311, 268: 0.001093130930653742, 269: 0.0030740072985097873, 270: 0.0006520481666378879, 271: 0.002200126236237896, 272: 0.0010887337998015043, 273: 0.0006407086078212535, 274: 0.0005818752611592839, 275: 0.0008606591792474799, 276: 0.0002127878996491358, 277: 0.0005243548450186712, 278: 0.002008093636191984, 279: 0.00058074111758731, 280: 0.004316490582892671, 281: 0.002195594507606675, 282: 0.004942289893371937, 283: 0.005215877916061954, 284: 0.0010949890914040646, 285: 0.0029168827871617143, 286: 0.0015259018017157574, 287: 0.0007625223194541104, 288: 0.0012892455246641908, 289: 0.00018364157118856198, 290: 0.0031809191271220095, 291: 0.000915093940623543, 292: 0.001221726997038372, 293: 0.0004168104145861229, 294: 0.0006676939302100303, 295: 0.0019702410178940154, 296: 0.0025619926736351758, 297: 0.00038188246124773234, 298: 0.00048155728520426713, 299: 0.0005006404894974188, 300: 0.0027644648387189857, 301: 0.0032904748179388866, 302: 0.0009545811094398479, 303: 0.004118480524446921, 304: 0.0011333310615845834, 305: 0.0015856687848906398, 306: 0.0018364179171295686, 307: 0.000511912655747275, 308: 0.00167682603024232, 309: 0.0009551539406470021, 310: 0.0012812827075069622, 311: 0.0009533683402300584, 312: 0.000977104090144489, 313: 0.0003627800161040508, 314: 0.0018924090822810449, 315: 0.00019947888556816134, 316: 0.0010901491678945326, 317: 0.0005278755935817893, 318: 0.0022346725192965078, 319: 0.00037505992414488417, 320: 0.0010366624396042567, 321: 0.0009934880076408734, 322: 0.00044918411589984445, 323: 0.0008439989717715602, 324: 0.00039557468214850456, 325: 0.0009025798915091781, 326: 0.0017761097519834335, 327: 0.0012035027551448706, 328: 0.0004891890505928117, 329: 0.003905563625448086, 330: 0.00019831575890369473, 331: 0.0005920171200433454, 332: 0.00026335554966293306, 333: 0.004798954410297699, 334: 0.0002488729433523417, 335: 0.0002822698599227042, 336: 0.00112770194385105, 337: 0.0014078671302253458, 338: 0.0022651814870637225, 339: 0.0014631963572955986, 340: 0.00394537667672827, 341: 0.0002803222995272076, 342: 0.0017238304653646485, 343: 0.0007925749877805288, 344: 0.00021291730923191654, 345: 0.0007822611500975965, 346: 0.0009894418857143614, 347: 0.0006243311307141053, 348: 8.679383212471582e-05, 349: 0.0004999560691345264, 350: 0.00039868446968086414, 351: 0.002106807869610061, 352: 0.0006163317485542977, 353: 0.0013344599199170506, 354: 0.0001843491268609932, 355: 0.0028717573586216328, 356: 0.002238707489194044, 357: 0.002008219240945096, 358: 0.0006474610499741728, 359: 0.000344389087175602, 360: 0.0006665050850456751, 361: 0.0015388071558111835, 362: 0.002785052608142129, 363: 0.002501928683679536, 364: 0.00041203105663455684, 365: 0.0034093335063950622, 366: 0.003762012249112526, 367: 0.0036463936629613715, 368: 0.0012224269134977518, 369: 0.00031334734081671156, 370: 0.0007731208942614876, 371: 0.0036818484388114695, 372: 0.001321684618969964, 373: 0.0014802698492855947, 374: 0.00033934458565229776, 375: 0.0023052167872606648, 376: 0.0010123863026968733, 377: 0.0026490390482946397, 378: 0.0005297570689751532, 379: 0.0010470194410567588, 380: 0.0007727560050895057, 381: 0.0005526326435889522, 382: 0.00012460746115809025, 383: 0.00010748818698655924, 384: 0.0003864346336304495, 385: 0.0005380210661621504, 386: 0.00020731305845424932, 387: 0.0007346351374993872, 388: 0.0007430181627190212, 389: 0.0009454428626142883, 390: 0.000866508976168565, 391: 0.0003146066730650911, 392: 0.00044213230320300673, 393: 0.002650926937913093, 394: 0.000628054726075143, 395: 0.001324767638151006, 396: 0.0002507449162853967, 397: 0.0007001013932769498, 398: 9.0256464632794e-05, 399: 0.0005978638031934659, 400: 0.0013048531991582245, 401: 0.0015299294737725528, 402: 0.00024639166759237124, 403: 0.0004982915239835472, 404: 0.003020872638933232, 405: 0.004658332565074166, 406: 0.0004129267719913981, 407: 0.0004307307940782426, 408: 0.0014827824626735444, 409: 0.0018934251108440015, 410: 0.0006382038419811733, 411: 0.002801209143896439, 412: 0.0018155068572508698, 413: 0.0007995834900217795, 414: 3.011028858179047e-05, 415: 7.535201475530408e-05, 416: 7.510418542189971e-05, 417: 0.0019447819059965387, 418: 0.0011087453590536043, 419: 0.003584435682472594, 420: 0.004335324671699248, 421: 0.0012605781321579305, 422: 0.0018731247263039455, 423: 0.0011678484992441109, 424: 0.004780514101734711, 425: 0.0007602663937271041, 426: 0.0019249576129942898, 427: 0.0024003687447548914, 428: 0.0005657057844570759, 429: 0.0007428007226046061, 430: 0.0018648116734126658, 431: 0.0009617313830374977, 432: 0.00020776515349407466, 433: 0.0006852178560191432, 434: 0.006324283422920812, 435: 0.00032618594667294424, 436: 0.00010923332702806076, 437: 0.0009185519903136844, 438: 0.0025415063478258907, 439: 0.00013584889076131445, 440: 0.001635339668346532, 441: 0.0018778167683258038, 442: 0.0006935880811553591, 443: 0.0012849441817214234, 444: 0.0008441531209654605, 445: 0.0012727872123957974, 446: 0.0005534909415094697, 447: 0.0005019329149456724, 448: 0.0009195263193291473, 449: 3.901723596139776e-07, 450: 0.0026251973673784607, 451: 0.00015570748926896008, 452: 0.0005528892860296538, 453: 0.0016636512143678515, 454: 0.0005659027902824082, 455: 0.001507880737332112, 456: 0.00012074429979643942, 457: 0.0007339270612538764, 458: 0.0018528099867134195, 459: 0.002115036587572521, 460: 0.0017929508021702612, 461: 0.00039418409929343914, 462: 0.001243134507697396, 463: 1.6320148968954396e-05, 464: 0.0018371160774126208, 465: 0.000345728801173473, 466: 0.0008192442523704335, 467: 0.0011556100965313169, 468: 0.0008108659531428431, 469: 0.00047903817626096854, 470: 0.0005712356031574168, 471: 0.0005702871410533797, 472: 0.00015054499032626464, 473: 0.0035826800943222037, 474: 0.0033344767149022575, 475: 6.569348005074023e-05, 476: 0.0002427383523017508, 477: 0.0002526198742181015, 478: 0.0014358399012790253, 479: 3.4082315109865654e-05, 480: 0.0017850181865508873, 481: 0.0013901316801345667, 482: 0.001188447246539797, 483: 0.0012933962059531424, 484: 0.0007577023098215514, 485: 0.0007706500795402653, 486: 0.0025786609698296666, 487: 0.0001402357649533971, 488: 0.0001534385865833856, 489: 0.0017316799135641834, 490: 0.002031464676108315, 491: 0.0003728720718246571, 492: 0.0014333661237148291, 493: 0.0031605486456949936, 494: 0.0036320079683457864, 495: 0.0031150945249641257, 496: 0.0005574980883032563, 497: 0.000451721946070447, 498: 0.001444321327839396, 499: 0.0005561966259496226, 500: 0.00022474249102285635, 501: 0.0002820117148932214, 502: 0.00027500675514935624, 503: 0.0001494791569276137, 504: 0.0008425075794633287, 505: 0.0002448621631359927, 506: 0.001765178244508748, 507: 8.952387546397638e-05, 508: 0.0011130109711709893, 509: 0.0017567037469813768, 510: 0.00038595927919055583, 511: 0.0004950539072749334, 512: 0.00021879373346080292, 513: 0.0019079920124162543, 514: 0.0002645017567514271, 515: 0.0011289932944017504, 516: 0.000291668681990702, 517: 0.0002916197071577571, 518: 0.0031202918569173447, 519: 0.0005845797504334687, 520: 0.0016876718571941958, 521: 0.00036959081894324887, 522: 5.3044778532962906e-05, 523: 0.00036946731361154716, 524: 2.9492407666780134e-06, 525: 0.0005546539683121146, 526: 0.0018335681250274817, 527: 0.0005645669896728228, 528: 0.0002730761155152742, 529: 0.000630254769344535, 530: 0.0002541388996607267, 531: 0.002303799613458826, 532: 0.0006529861016917886, 533: 0.0044480205781178795, 534: 0.00014503010802020317, 535: 0.00022542135925794903, 536: 0.00048583626936575097, 537: 0.0009798061522713973, 538: 0.00013673069242930785, 539: 0.0002524871084505285, 540: 0.0003982167098308785, 541: 0.0008742497179639647, 542: 0.0005361159321686065, 543: 0.0013855984231746813, 544: 0.0012610021166425441, 545: 0.000691372060955181, 546: 0.0034201432727575666, 547: 0.0007370406637641963, 548: 0.0016240617186211465, 549: 0.0017738045482084573, 550: 0.001350322721595298, 551: 0.000734892130047175, 552: 0.001487040605256305, 553: 0.00020474614682657898, 554: 0.000266473597840236, 555: 0.0003772054038184358, 556: 0.0002153159716560397, 557: 0.0006928147210679113, 558: 0.00011927816761524312, 559: 0.0004516674888953185, 560: 0.001332322476129571, 561: 1.6108670722436252e-05, 562: 0.0008081099063476162, 563: 0.0005635430797870888, 564: 0.0009452485275116432, 565: 0.0001469604633102171, 566: 0.00020588827966159953, 567: 0.0001485503603865423, 568: 0.0010996205673172428, 569: 0.0006734472481069494, 570: 0.00018604300331129817, 571: 0.0007780567803927099, 572: 0.0008619830695832267, 573: 0.0005295402242553481, 574: 0.00011166726304621865, 575: 0.00023516875455594283, 576: 0.0009577140991774942, 577: 0.0006011861449032031, 578: 7.790234758538008e-06, 579: 0.000357914273816211, 580: 4.675064953443987e-58, 581: 0.0008611180096839315, 582: 0.0006571690214394217, 583: 4.789197603189376e-06, 584: 0.00013601867637606034, 585: 0.0003004738473107495, 586: 0.000896126297742738, 587: 0.00038120584161072005, 588: 0.0005803070757201934, 589: 0.001238655923223107, 590: 0.0006975699742685572, 591: 0.0005560291305702807, 592: 0.0004497517640620455, 593: 0.0009711487477789412, 594: 0.0003873438535345951, 595: 6.350099925550463e-06, 596: 0.0001893586629635047, 597: 0.0006189602702790662, 598: 0.0002012931532707954, 599: 0.0004022375821049922, 600: 0.0003149092745234088, 601: 0.0016372350415466612, 602: 0.0005061275536434257, 603: 3.901723596139776e-07, 604: 0.00028231310808440305, 605: 4.127666607406785e-06, 606: 4.0365730066266634e-05, 607: 0.0012408983147406242, 608: 0.0002889328800555283, 609: 0.00017597958561801322, 610: 0.0005385081868043361, 611: 0.0009996987188599963, 612: 0.0019158494553693155, 613: 0.0001446313407474048, 614: 7.899614332384808e-05, 615: 0.002108154154476144, 616: 0.00012833602433210317, 617: 8.644336340692766e-05, 618: 0.0001997276320994314, 619: 0.00023183582601452884, 620: 0.00011611289820117, 621: 0.0004442113216024786, 622: 1.2841391799065728e-05, 623: 0.0002781286335585695, 624: 0.0003462915237045874, 625: 0.00022752705239939685, 626: 6.894543706606417e-05, 627: 0.000502956242604133, 628: 8.992485504679837e-05, 629: 5.730199066789735e-05, 630: 5.818203140292867e-05, 631: 5.515563372161515e-05, 632: 2.6597804224663725e-05, 633: 4.675064953443987e-58, 634: 4.071767521458146e-06, 635: 0.00031015370776475064, 636: 6.470918598176239e-05, 637: 9.462515926482046e-05, 638: 0.0007103778247768657, 639: 0.00011839436739733928, 640: 0.00035931494293417655, 641: 0.000874773474901458, 642: 0.001109207899356023, 643: 0.0003863297467005806, 644: 0.0005478944976040877, 645: 4.6519767095640046e-05, 646: 0.00013105844556093388, 647: 0.0006071340250051467, 648: 4.675064953443987e-58, 649: 0.00025810482783883713, 650: 3.63389664081784e-05, 651: 0.0005767797736551535, 652: 0.0002485023890674282, 653: 4.675064953443987e-58, 654: 0.0013217177475250146, 655: 0.0009406186612021766, 656: 0.00012311862173867364, 657: 3.983331736311718e-05, 658: 4.675064953443987e-58, 659: 3.477717948426168e-05, 660: 4.675064953443987e-58, 661: 0.0010231961217599254, 662: 0.0007264769913181596, 663: 0.0006125335883876141, 664: 0.0003490315134858269, 665: 0.001142469740750849, 666: 0.0007013598505753316, 667: 0.0009965061520413165, 668: 1.6831945869962868e-05, 669: 0.00015643607195432702, 670: 4.675064953443987e-58, 671: 0.0010473410930300414, 672: 0.0004247592876623674, 673: 4.089566043492415e-05, 674: 0.00020483302510516087, 675: 4.675064953443987e-58, 676: 0.00012811772999692583, 677: 0.00010137824996384626, 678: 0.0002802588723886495, 679: 0.0005277538443021935, 680: 1.0013455470338117e-05, 681: 0.0006272341216806567, 682: 3.6688459516087784e-05, 683: 0.0002650954047079443, 684: 4.675064953443987e-58, 685: 0.001212391067455859, 686: 0.0003562130291242497, 687: 0.0003026792712585551, 688: 1.7954733470484264e-05, 689: 3.2273871520139606e-05, 690: 0.0009033740397524592, 691: 4.675064953443987e-58, 692: 2.9465718315798512e-05, 693: 0.0003754811289955406, 694: 0.00023867684815351826, 695: 0.00087886025343099, 696: 0.00021496148498830888, 697: 7.42363873335655e-05, 698: 0.0007115258246565236, 699: 0.00026132554057271677, 700: 0.00027031910182974997, 701: 1.6108670722436252e-05, 702: 0.00014097018461171898, 703: 4.675064953443987e-58, 704: 9.268242517956085e-05, 705: 0.0002962197035663181, 706: 0.00025318815813124904, 707: 0.0004495505709424436, 708: 0.0005654854320463742, 709: 6.0183214501402124e-05, 710: 0.00040611043905044807, 711: 4.675064953443987e-58, 712: 9.711142056554948e-05, 713: 0.00010575268748712426, 714: 0.0008755139065739419, 715: 0.0001691839859279956, 716: 5.265141012759566e-05, 717: 0.00036156502372691035, 718: 0.00019025073807934416, 719: 0.00031351392445731107, 720: 0.00027570380428012896, 721: 0.00013168463699223367, 722: 0.0001155788749831139, 723: 0.00017652575203524454, 724: 0.00013781504219655463, 725: 0.00040474966885757185, 726: 0.0009412863710394414, 727: 0.0001511291632980131, 728: 0.0003850060508270297, 729: 0.00017198070428471168, 730: 0.0007132183470994731, 731: 4.675064953443987e-58, 732: 4.675064953443987e-58, 733: 0.00022632394256078315, 734: 0.00044116497142457806, 735: 9.704447735292324e-05, 736: 0.00042705406050136765, 737: 2.888375127659688e-05, 738: 0.0010323178299062416, 739: 0.0002316314491956607, 740: 0.00018980260693652766, 741: 9.189747452261324e-05, 742: 0.0001190446417519345, 743: 1.4294256155195971e-05, 744: 4.675064953443987e-58, 745: 0.00021270423058215418, 746: 4.675064953443987e-58, 747: 0.0017096578816477802, 748: 0.0014826139850081272, 749: 0.0001860938614914135, 750: 1.4485409909453504e-05, 751: 0.0002679744175889523, 752: 0.0003291955354121648, 753: 0.00046481205992744283, 754: 0.0004921662911093947, 755: 6.387067738661908e-05, 756: 0.000731235273302869, 757: 5.96372365345687e-05, 758: 0.0003834381275291198, 759: 0.00012447657512359178, 760: 7.408284611654702e-05, 761: 3.435099652529626e-05, 762: 3.7794741668317445e-06, 763: 5.265141012759566e-05, 764: 0.00025422886462473976, 765: 0.0004245000071427867, 766: 6.459428977818685e-05, 767: 0.00036958091887390865, 768: 0.000282186879465581, 769: 0.00018333545713661992, 770: 1.729207524180734e-05, 771: 0.0003914263882745825, 772: 4.675064953443987e-58, 773: 6.115563596660301e-05, 774: 3.7797281035603315e-05, 775: 1.726437801557219e-05, 776: 0.000599061692644501, 777: 0.00042228653864359464, 778: 0.00016959811162309873, 779: 9.26966724408075e-05, 780: 4.34847525707729e-05, 781: 2.480267158968992e-05, 782: 0.0001530821691476767, 783: 0.0003693418560891998, 784: 3.677490266459448e-05, 785: 0.00012779811655325388, 786: 0.00031215985422418033, 787: 6.429593359325707e-05, 788: 4.746706822695185e-06, 789: 0.00032289895116393593, 790: 1.6340201122403955e-05, 791: 0.00012511824720044495, 792: 9.706970342493922e-05, 793: 5.731798925672788e-05, 794: 9.478259329130776e-06, 795: 2.5200693214234228e-05, 796: 0.00019161929330058458, 797: 8.858527641285496e-05, 798: 4.675064953443987e-58, 799: 0.0002567166962180756, 800: 0.00014610316703792312, 801: 0.00010204051773604175, 802: 0.00024996511238729684, 803: 0.0004676296983475843, 804: 0.00012598264514357212, 805: 7.117333610540846e-05, 806: 0.00011415510732418535, 807: 0.00022805432927021463, 808: 4.675064953443987e-58, 809: 0.0013433319136511885, 810: 0.0004893768910771348, 811: 0.0003064240825454088, 812: 0.0018684936341224578, 813: 0.0005291162088469875, 814: 8.099883257676544e-05, 815: 0.0004965470133484296, 816: 0.0004850157049615044, 817: 9.800559243214377e-05, 818: 0.000578775462662866, 819: 6.261093551103882e-05, 820: 0.004483589666250476, 821: 0.0001388001985443042, 822: 0.0005198960493206684, 823: 0.0002296583728904022, 824: 2.214573046835713e-05, 825: 2.939234874197354e-05, 826: 0.00065504150455206, 827: 2.2873369641004724e-05, 828: 0.0013037659887777766, 829: 9.683919050352737e-05, 830: 7.164398864453169e-06, 831: 2.3563235039470415e-05, 832: 0.0006969497199013522, 833: 0.0003548356204721738, 834: 9.148143634066889e-05, 835: 0.0001555098692201286, 836: 1.8578108054387612e-05, 837: 9.268242517956085e-05, 838: 3.304326528420116e-05, 839: 5.6472263518459506e-05, 840: 0.0005488689284578432, 841: 7.252629926740089e-05, 842: 0.00010596958393629919, 843: 4.3143623899863396e-05, 844: 0.00011338727316997457, 845: 0.0008546636086988629, 846: 5.418893412730602e-08, 847: 0.0006066300312781059, 848: 0.00011406503248672297, 849: 0.00020903593833552595, 850: 6.374608938687123e-05, 851: 0.00019978955223270173, 852: 4.70961417838174e-05, 853: 9.499606302407525e-05, 854: 0.00040345389613387643, 855: 0.00018156669581172015, 856: 0.002192533405427863, 857: 0.000245406457359283, 858: 2.3796500985021626e-05, 859: 0.0027119223287273677, 860: 0.0005141776926025062, 861: 5.16619626057571e-06, 862: 5.47203440960119e-06, 863: 2.197926291813972e-05, 864: 3.6298369518635814e-05, 865: 0.0002540696121670412, 866: 0.00011467872864007448, 867: 0.00013736534848543712, 868: 6.540233093696191e-05, 869: 6.749815955320314e-05, 870: 5.573371357874566e-05, 871: 1.5956940811171076e-05, 872: 0.00026294935461314506, 873: 2.967660449683066e-05, 874: 5.573371357874566e-05, 875: 4.365794151196466e-05, 876: 1.2248632135807953e-05, 877: 0.00043797410293491953, 878: 9.671418702580211e-05, 879: 1.4633242161497828e-05, 880: 0.001016982209529458, 881: 4.209890654968011e-05, 882: 0.0001806224001162804, 883: 0.00028337646880839836, 884: 2.383438170047212e-05, 885: 0.00016801495435823837, 886: 0.0002995478214824767, 887: 4.936652439399324e-05, 888: 2.352553321769112e-05, 889: 0.00014295099468457823, 890: 9.834405628900618e-05, 891: 7.085564210631813e-05, 892: 0.0008097222038975926, 893: 2.8218191058056793e-05, 894: 1.5595118208621367e-05, 895: 0.00015637395479921646, 896: 0.0012368334942537236, 897: 2.8823188240313753e-05, 898: 3.435691672739793e-05, 899: 3.472616309474634e-05, 900: 0.0007490673784190675, 901: 3.979359124240642e-05, 902: 5.196914748943937e-05, 903: 3.21941061750463e-05, 904: 1.2873724512237416e-05, 905: 0.00016141358624455673, 906: 0.0002416052086225586, 907: 0.00017931547148747188, 908: 0.0004938246811345886, 909: 0.0004469410052788238, 910: 2.6057109081915e-05, 911: 0.00011552806476218602, 912: 5.8000704634205815e-05, 913: 0.0003070641105565804, 914: 0.0006536534709187015, 915: 1.4055891353914117e-05, 916: 3.901723596139776e-07, 917: 0.0004977280664081446, 918: 0.0006018994261336486, 919: 0.0003017471432644016, 920: 2.012499280180402e-05, 921: 0.00029785268550152906, 922: 0.00041599381380265924, 923: 2.8991738266050497e-05, 924: 0.00035220198904964005, 925: 0.00042864076859351136, 926: 0.000289859880141452, 927: 0.00017308042682799828, 928: 6.387067738661908e-05, 929: 0.00014865846602637753, 930: 0.00021786643199703392, 931: 0.000290582612352831, 932: 0.0038191339172218668, 933: 0.00021971781076629763, 934: 0.00011861229578819669, 935: 5.125820227967623e-05, 936: 0.0004776929286496099, 937: 0.00015886730220216085, 938: 1.2954203575478369e-05, 939: 3.9957350060910974e-05, 940: 0.00010239996494989013, 941: 2.681040499220294e-05, 942: 2.0185349512219572e-05, 943: 2.5530595126339168e-05, 944: 1.9211871560035293e-05, 945: 5.250643595178546e-05, 946: 1.133540882104626e-05, 947: 0.00016009943381002157, 948: 7.161073264645564e-06, 949: 0.0006163592230242602, 950: 0.0014066693608034621, 951: 0.00011071338062616475, 952: 0.00017273236634442906, 953: 0.0002827477727739333, 954: 0.000386684973755155, 955: 0.0001840725968879684, 956: 0.0003313420225890395, 957: 0.00010767734839980795, 958: 4.798986746516176e-05, 959: 3.432653305010238e-05, 960: 3.432653305010238e-05, 961: 3.432653305010238e-05, 962: 1.2317585226468793e-05, 963: 0.0014240071560276439, 964: 0.00010789618808678096, 965: 6.189996373966591e-06, 966: 9.110633858546001e-05, 967: 8.416315079612591e-05, 968: 4.746400612703594e-05, 969: 6.312516528192907e-05, 970: 0.00022497105313403962, 971: 0.001358403279953654, 972: 2.674252597751847e-05, 973: 1.7602335877544807e-05, 974: 0.00023560225103850139, 975: 1.7602335877544807e-05, 976: 0.0005220982096599799, 977: 5.293938505765126e-05, 978: 0.00013755190224928415, 979: 0.00014659319410304645, 980: 0.00029509359651972756, 981: 0.0005220982096599799, 982: 3.979359124240642e-05, 983: 0.000167108150375052, 984: 0.00010836832374291098, 985: 1.311861065306067e-05, 986: 6.512600624180796e-05, 987: 0.0003592616405067944, 988: 4.7961818443233965e-05, 989: 6.297019342580863e-05, 990: 0.000499717971711131, 991: 0.0001047480896837699, 992: 7.216614317230368e-05, 993: 1.9214054709160575e-05, 994: 3.309977661148037e-05, 995: 1.2583802376387542e-06, 996: 1.9440985689063984e-05, 997: 3.6510378673835704e-05, 998: 2.6057109081915e-05, 999: 4.006375379031707e-05, 1000: 0.00016133876779120487, 1001: 0.00019369691693194374, 1002: 1.726437801557219e-05, 1003: 2.3563235039470415e-05, 1004: 1.7057873244331306e-05}\n"
     ]
    }
   ],
   "source": [
    "print(\"Authority score for nodes: \",aut_score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "page_list=[hub_score[i] for i in hub_score ]\n",
    "plt.title(\"Hub Score Distribution\")\n",
    "plt.plot(list_of_nodes,page_list,color=\"g\")\n",
    "plt.xlabel(\"Nodes in Graph\")\n",
    "plt.ylabel(\"Hub Score Values \")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "page_list=[aut_score[i] for i in aut_score ]\n",
    "plt.title(\"Authority Score Distribution\")\n",
    "plt.plot(list_of_nodes,page_list,color=\"m\")\n",
    "plt.xlabel(\"Nodes in Graph\")\n",
    "plt.ylabel(\"Authority Score Values \")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "hub_score_list=[hub_score[i] for i in range(0,len(dict_nodes_total))]\n",
    "aut_score_list=[aut_score[i] for i in range(0,len(dict_nodes_total))]\n",
    "pagerank_score_list=[page_score[i] for i in range(0,len(dict_nodes_total))]\n",
    "list_scores=[hub_score_list,aut_score_list,pagerank_score_list]\n",
    "labels_list=[\"Hub Scores\",\"Authority Scores\",\"Pagerank Scores\"]\n",
    "plt.figure()\n",
    "color_list=['r','g','b']\n",
    "for i in range(0, 3): \n",
    "    plt.scatter(list_of_nodes,list_scores[i],label=labels_list[i],color=color_list[i])\n",
    "\n",
    "plt.xlabel('Nodes in Graph')\n",
    "plt.ylabel('Scores')\n",
    "plt.title('Comparison Scatter Plot')\n",
    "plt.legend(loc='best')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}