KMeans.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "b27390fa",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import random\n",
    "from scipy.spatial.distance import cdist \n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d2c0cf84",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[38.69322692, 79.79267179, 66.31844548, 27.03990758],\n",
       "       [45.89900313, 66.92811831, 57.8887752 , 49.1492605 ],\n",
       "       [50.76399507, 20.80729912, 43.44403117, 10.98288033],\n",
       "       ...,\n",
       "       [60.70717004, 38.71830419, 91.56237906, 93.70960791],\n",
       "       [92.33777567, 91.19486583, 97.75088407, 89.7793014 ],\n",
       "       [22.41568234, 72.79132026, 72.10314553, 44.11289423]])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pointsM = np.random.rand(2000, 4)\n",
    "pointsM = pointsM*100\n",
    "pointsM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ca78a1bd",
   "metadata": {},
   "outputs": [],
   "source": [
    "def kmeans(X, k, max_iter):\n",
    "    # random choice of indices in X for assigning random centroids\n",
    "    index = np.random.choice(len(X), k, replace=False)\n",
    "    centroids = X[index, :]\n",
    "    # Distances between each centroid and all points\n",
    "    distances = cdist(X, centroids, 'euclidean')\n",
    "    # Choosing centroid with min distances to points\n",
    "    points = np.array([np.argmin(item) for item in distances])\n",
    "    \n",
    "    # Loop to repreat the steps above for the maximum iterations equal to max_iter\n",
    "    for i in range(max_iter):\n",
    "        centroids = []\n",
    "        for index in range(k):\n",
    "            # Updating the centroid by mean of each cluster\n",
    "            centroids.append(X[points==index].mean(axis=0))\n",
    "            \n",
    "        centroids = np.vstack(centroids)\n",
    "        # Same as above, Distances between each centroid and all points\n",
    "        distances = cdist(X, centroids, 'euclidean')\n",
    "        # Same as above, Choosing centroid with min distances to points\n",
    "        points = np.array([np.argmin(item) for item in distances])\n",
    "    return points"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "91870ad4",
   "metadata": {},
   "outputs": [],
   "source": [
    "groups = kmeans(pointsM, 5, 1000)\n",
    "Ugroups = np.unique(groups)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "c3c791da",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0: array([[38.69322692, 79.79267179, 66.31844548, 27.03990758],\n",
       "        [45.89900313, 66.92811831, 57.8887752 , 49.1492605 ],\n",
       "        [10.6162759 , 98.25163233, 49.39214089,  3.96490697],\n",
       "        ...,\n",
       "        [13.26051327, 55.61570831, 56.19794436, 49.45067334],\n",
       "        [42.72873079, 66.23181614, 47.80551523, 18.31033104],\n",
       "        [22.41568234, 72.79132026, 72.10314553, 44.11289423]]),\n",
       " 1: array([[42.92940986, 63.70338851, 61.04968198, 74.9812083 ],\n",
       "        [74.35823602, 22.46046598, 52.44485139, 75.55244976],\n",
       "        [26.97065902, 11.49690936, 28.31791006, 98.49077928],\n",
       "        ...,\n",
       "        [17.3133461 , 61.13444546, 77.2601885 , 82.89304563],\n",
       "        [28.49044761, 14.46759175, 76.51292359, 75.51993166],\n",
       "        [60.70717004, 38.71830419, 91.56237906, 93.70960791]]),\n",
       " 2: array([[50.76399507, 20.80729912, 43.44403117, 10.98288033],\n",
       "        [83.22514306, 12.33550784, 40.41546716, 51.59958872],\n",
       "        [25.17212461, 25.06162863, 17.76321723, 82.56408722],\n",
       "        ...,\n",
       "        [36.72386181,  0.19534591, 69.69365061, 23.64918058],\n",
       "        [43.4125085 , 57.1532823 ,  1.73200394, 33.53833155],\n",
       "        [11.49131632, 22.91227228, 20.51725327,  2.63734673]]),\n",
       " 3: array([[79.78821405, 90.31859902, 13.28779224,  8.81742031],\n",
       "        [90.6651197 , 57.35397005, 72.60398075, 43.68193246],\n",
       "        [66.3635764 , 86.29827401, 39.41214783,  0.18352971],\n",
       "        ...,\n",
       "        [92.18400641, 13.5011328 , 64.93671648, 44.48141637],\n",
       "        [77.96628467, 21.49058484, 72.88778106, 17.40134731],\n",
       "        [92.33777567, 91.19486583, 97.75088407, 89.7793014 ]]),\n",
       " 4: array([[68.5658505 , 12.80496624, 10.20149587, 87.7320695 ],\n",
       "        [71.58736251, 75.97214124, 43.4419828 , 94.20223777],\n",
       "        [35.73770641, 73.74197031, 39.72103271, 97.54339246],\n",
       "        ...,\n",
       "        [71.35246421, 60.6237987 , 49.13013943, 61.0623171 ],\n",
       "        [51.86171505, 45.7596027 , 26.19717649, 90.97502561],\n",
       "        [73.62097843, 49.24968328, 24.87367219, 64.6735134 ]])}"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "listed_by_groups = {}\n",
    "for G in Ugroups:\n",
    "    listed_by_groups[G] = pointsM[groups == G]\n",
    "listed_by_groups"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6489491d",
   "metadata": {},
   "source": [
    "### For 2D (2 Features) with Ilustration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b64d2dbe",
   "metadata": {},
   "outputs": [],
   "source": [
    "P2D = np.random.rand(2000, 2)\n",
    "P2D = P2D*100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "2851267f",
   "metadata": {},
   "outputs": [],
   "source": [
    "groups = kmeans(P2D, 7, 1000)\n",
    "Ugroups = np.unique(groups)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "dc632eb6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "listed_by_groups = {}\n",
    "f = plt.figure()\n",
    "f.set_figwidth(15)\n",
    "f.set_figheight(15)\n",
    "for G in Ugroups:\n",
    "    listed_by_groups[G] = P2D[groups == G]\n",
    "    plt.scatter(P2D[groups == G, 0], P2D[groups == G, 1], label = G)\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "f0a3b918",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0: array([[65.36578717, 37.84142042],\n",
       "        [95.54070812, 57.68136106],\n",
       "        [66.18275266, 37.01150507],\n",
       "        [98.57214905, 52.00605529],\n",
       "        [80.39517204, 37.59748134],\n",
       "        [78.42046782, 46.46155009],\n",
       "        [99.65152395, 44.72477499],\n",
       "        [71.47499153, 43.36007567],\n",
       "        [67.92449215, 53.7986366 ],\n",
       "        [77.72820645, 38.33712503],\n",
       "        [91.67809763, 21.82030534],\n",
       "        [91.01883705, 47.3364442 ],\n",
       "        [97.61216437, 48.48481094],\n",
       "        [86.78449401, 34.02020192],\n",
       "        [83.83605001, 37.21259437],\n",
       "        [84.47673394, 59.88625567],\n",
       "        [68.47079007, 58.07950234],\n",
       "        [76.69866189, 49.67961817],\n",
       "        [76.43308018, 35.24995965],\n",
       "        [81.3767288 , 32.36698207],\n",
       "        [65.2019979 , 38.29181673],\n",
       "        [89.58715702, 47.15594823],\n",
       "        [85.42683206, 50.08584132],\n",
       "        [72.53733105, 52.18933881],\n",
       "        [65.8347581 , 56.20973862],\n",
       "        [84.02374621, 33.57482105],\n",
       "        [96.95307147, 37.08053785],\n",
       "        [97.69815015, 55.40223816],\n",
       "        [90.90865889, 57.80856437],\n",
       "        [89.91212546, 29.8875989 ],\n",
       "        [99.15492804, 35.4389992 ],\n",
       "        [96.49015918, 31.03155404],\n",
       "        [88.88619153, 43.71886154],\n",
       "        [91.76258131, 41.23444523],\n",
       "        [75.06402952, 54.98376539],\n",
       "        [81.99573652, 37.40214574],\n",
       "        [93.42983059, 44.38224105],\n",
       "        [78.11518127, 44.71195143],\n",
       "        [72.27292644, 42.26390448],\n",
       "        [92.58385179, 51.5799386 ],\n",
       "        [82.66264565, 41.56644135],\n",
       "        [72.81081131, 29.93600763],\n",
       "        [82.72258869, 41.6293581 ],\n",
       "        [89.79727462, 51.70441983],\n",
       "        [81.92980916, 30.66934388],\n",
       "        [98.72637568, 42.85766787],\n",
       "        [82.65803475, 58.37435898],\n",
       "        [77.29285774, 43.24575276],\n",
       "        [88.21145114, 59.7784088 ],\n",
       "        [89.72788044, 51.14756559],\n",
       "        [64.45620574, 38.20568737],\n",
       "        [89.75728031, 28.18695908],\n",
       "        [90.52076263, 51.55362058],\n",
       "        [73.63613972, 38.96615679],\n",
       "        [96.11944623, 29.99533052],\n",
       "        [83.37752175, 44.44999728],\n",
       "        [86.32799641, 26.51962596],\n",
       "        [80.82938608, 55.11725245],\n",
       "        [98.72018242, 26.25503431],\n",
       "        [93.87475836, 26.38345085],\n",
       "        [85.97879343, 36.92151954],\n",
       "        [95.28166146, 35.58906661],\n",
       "        [94.0887674 , 41.67113006],\n",
       "        [86.58238949, 51.8183088 ],\n",
       "        [92.88496685, 37.85253522],\n",
       "        [92.38788914, 25.05420728],\n",
       "        [83.31510634, 42.9286928 ],\n",
       "        [72.29653754, 38.55012099],\n",
       "        [84.23129392, 40.65604052],\n",
       "        [91.72375139, 28.71093736],\n",
       "        [85.3924244 , 27.73504279],\n",
       "        [75.95692282, 29.15494846],\n",
       "        [84.62969309, 36.28532887],\n",
       "        [66.85647264, 51.03075744],\n",
       "        [75.19395476, 40.67178712],\n",
       "        [85.76536519, 30.10375016],\n",
       "        [85.68174273, 55.95705268],\n",
       "        [71.56351319, 52.93603691],\n",
       "        [90.79167385, 24.79423417],\n",
       "        [88.45735687, 31.83388289],\n",
       "        [94.6005322 , 27.28317449],\n",
       "        [86.33138142, 58.82889815],\n",
       "        [84.8012069 , 57.79492465],\n",
       "        [82.84074223, 48.53265471],\n",
       "        [68.54028991, 55.18090808],\n",
       "        [67.23150666, 45.91693382],\n",
       "        [96.08180963, 25.33481517],\n",
       "        [74.75512534, 57.21618532],\n",
       "        [68.1079424 , 49.38888611],\n",
       "        [67.11077142, 58.09047745],\n",
       "        [72.24619264, 54.96510435],\n",
       "        [95.67761968, 23.01553791],\n",
       "        [87.71174629, 43.48351259],\n",
       "        [67.72017435, 57.5089167 ],\n",
       "        [68.04022425, 37.61925972],\n",
       "        [99.61486222, 38.32788963],\n",
       "        [75.20699813, 44.2889086 ],\n",
       "        [81.42689412, 58.84603651],\n",
       "        [96.80903738, 53.49245269],\n",
       "        [84.06150596, 26.29247108],\n",
       "        [83.18095832, 59.17897775],\n",
       "        [88.04735803, 37.38757112],\n",
       "        [86.58512822, 55.21602776],\n",
       "        [87.47184162, 47.11835797],\n",
       "        [76.52194788, 48.58779565],\n",
       "        [67.99034939, 54.94959708],\n",
       "        [82.00742953, 43.03234806],\n",
       "        [73.09140545, 37.84541296],\n",
       "        [93.08574615, 39.63156158],\n",
       "        [98.73514676, 32.23629045],\n",
       "        [66.77419605, 42.32455075],\n",
       "        [68.82903627, 31.45978865],\n",
       "        [67.38033409, 37.08366817],\n",
       "        [74.60618389, 54.60771199],\n",
       "        [83.37761829, 52.90070006],\n",
       "        [77.07126416, 27.93024774],\n",
       "        [86.47107382, 57.59248998],\n",
       "        [89.42901771, 50.89100673],\n",
       "        [65.52492828, 52.32215359],\n",
       "        [87.83364435, 50.50784942],\n",
       "        [89.65846743, 22.27604613],\n",
       "        [87.73337494, 33.65875962],\n",
       "        [74.71599893, 32.39712037],\n",
       "        [78.27844177, 34.71771024],\n",
       "        [88.13142511, 49.66382649],\n",
       "        [92.41532187, 54.41339026],\n",
       "        [80.01438377, 43.88406417],\n",
       "        [79.6575316 , 38.39044017],\n",
       "        [84.91757838, 48.62517946],\n",
       "        [65.64871536, 34.15868215],\n",
       "        [83.21349697, 29.68719663],\n",
       "        [89.55506221, 49.45296953],\n",
       "        [79.33408343, 29.88207092],\n",
       "        [87.432935  , 32.51412115],\n",
       "        [94.46051453, 58.22150835],\n",
       "        [93.00211689, 58.40641865],\n",
       "        [91.81908993, 55.16744137],\n",
       "        [68.12969433, 52.64385923],\n",
       "        [89.1275466 , 39.64821613],\n",
       "        [72.84130092, 59.32673955],\n",
       "        [78.51758948, 59.13710782],\n",
       "        [86.95953891, 42.99566768],\n",
       "        [89.55503049, 58.22608947],\n",
       "        [75.8081855 , 59.25556585],\n",
       "        [76.67787454, 55.25784392],\n",
       "        [73.48782256, 31.34755426],\n",
       "        [88.67076148, 44.00781762],\n",
       "        [92.06891327, 23.67991956],\n",
       "        [86.79570842, 49.8117193 ],\n",
       "        [98.80225197, 41.68375012],\n",
       "        [74.45035781, 43.77216739],\n",
       "        [97.16107031, 29.80231887],\n",
       "        [76.84902618, 55.75576381],\n",
       "        [69.59471005, 41.58136467],\n",
       "        [90.06622104, 57.02977939],\n",
       "        [91.29836569, 50.55588756],\n",
       "        [79.28339838, 36.51187155],\n",
       "        [76.34296086, 31.31771476],\n",
       "        [90.048552  , 59.80284879],\n",
       "        [81.71705968, 36.52397897],\n",
       "        [70.09532838, 49.68924626],\n",
       "        [83.50858114, 29.75408889],\n",
       "        [93.36488432, 25.80753779],\n",
       "        [79.9529823 , 34.49962248],\n",
       "        [76.02028317, 48.763897  ],\n",
       "        [99.54906343, 23.50393097],\n",
       "        [89.63350542, 42.32576743],\n",
       "        [91.72701358, 40.17916887],\n",
       "        [93.93773288, 34.27832904],\n",
       "        [77.68223396, 56.76142077],\n",
       "        [89.70522272, 24.49417591],\n",
       "        [81.81080241, 40.49118437],\n",
       "        [83.99530786, 43.78731703],\n",
       "        [79.09155276, 45.45321586],\n",
       "        [72.12446863, 49.0265789 ],\n",
       "        [91.00727228, 46.28192639],\n",
       "        [81.7085841 , 34.03120815],\n",
       "        [93.20344002, 36.54339081],\n",
       "        [74.61767984, 30.54044895],\n",
       "        [78.1584072 , 49.84000229],\n",
       "        [88.18644422, 26.30544152],\n",
       "        [90.61930221, 48.03573832],\n",
       "        [92.44420797, 47.16011006],\n",
       "        [98.00264227, 44.94103697],\n",
       "        [90.49137246, 47.01448801],\n",
       "        [81.31693317, 33.3938277 ],\n",
       "        [73.13316929, 41.21204557],\n",
       "        [95.5804283 , 57.43156315],\n",
       "        [95.83428876, 48.442293  ],\n",
       "        [77.36314226, 35.8735282 ],\n",
       "        [98.35996363, 43.98710819],\n",
       "        [71.65575959, 50.50912245],\n",
       "        [76.36626494, 60.41915641],\n",
       "        [73.49893439, 37.70377111],\n",
       "        [72.71564014, 56.54156161],\n",
       "        [73.80945437, 35.26468393],\n",
       "        [81.7935435 , 29.4032259 ],\n",
       "        [73.88651651, 56.34912818],\n",
       "        [86.58862415, 44.01531025],\n",
       "        [78.85867335, 52.07214495],\n",
       "        [75.26066274, 41.28736607],\n",
       "        [98.14839179, 28.33713461],\n",
       "        [78.6401986 , 44.40635282],\n",
       "        [87.65428919, 25.2891815 ],\n",
       "        [67.41817975, 34.85299696],\n",
       "        [95.58659876, 31.12603234],\n",
       "        [95.65138643, 24.67489333],\n",
       "        [77.68043217, 46.82443442],\n",
       "        [96.93704837, 38.0072606 ],\n",
       "        [80.63487454, 41.31497933],\n",
       "        [99.88595558, 52.17923751],\n",
       "        [82.27047898, 51.81995323],\n",
       "        [87.89587251, 53.51467002],\n",
       "        [66.91508793, 39.65446888],\n",
       "        [82.42344108, 59.86423824],\n",
       "        [76.17867373, 33.46642559],\n",
       "        [95.80321263, 31.49871376],\n",
       "        [81.43739774, 26.31764796],\n",
       "        [82.53276435, 45.63865095],\n",
       "        [83.43098293, 32.89782729],\n",
       "        [66.45620093, 53.89609541],\n",
       "        [80.91083931, 30.95321403],\n",
       "        [73.85945236, 55.3624119 ],\n",
       "        [73.81076381, 36.44138169],\n",
       "        [82.97039757, 32.62943571],\n",
       "        [97.28260856, 27.95359425],\n",
       "        [86.50547734, 59.56954194],\n",
       "        [96.16584438, 40.3466072 ],\n",
       "        [91.40028224, 28.50275518],\n",
       "        [97.29639173, 47.62804312],\n",
       "        [93.06114017, 26.56220778],\n",
       "        [68.56741084, 41.79663239],\n",
       "        [77.60403229, 48.06945192],\n",
       "        [98.46426423, 25.2172216 ],\n",
       "        [77.57562186, 43.68113766],\n",
       "        [91.52793652, 36.43893061],\n",
       "        [98.95900143, 46.06180311],\n",
       "        [83.45758816, 41.62789652],\n",
       "        [92.75385522, 47.11625926],\n",
       "        [64.37376247, 38.65095062],\n",
       "        [82.24713589, 48.91414056],\n",
       "        [68.98678422, 43.40553986],\n",
       "        [66.24060818, 60.51767991],\n",
       "        [85.95795739, 50.1135041 ],\n",
       "        [73.39387748, 47.33702218],\n",
       "        [95.79560919, 30.17522319],\n",
       "        [81.21195184, 33.28402851],\n",
       "        [79.77903661, 50.2866189 ],\n",
       "        [70.69115216, 52.33512656]]),\n",
       " 1: array([[86.65968922,  9.76638245],\n",
       "        [88.29952156,  0.80050741],\n",
       "        [70.4084463 ,  1.00210755],\n",
       "        [64.48589097, 32.45329062],\n",
       "        [60.82210664, 29.73023038],\n",
       "        [89.43474662, 20.7994437 ],\n",
       "        [96.86751298, 14.65586511],\n",
       "        [47.03896081,  4.15983448],\n",
       "        [61.06024686,  5.51772776],\n",
       "        [83.61379036,  6.88487593],\n",
       "        [60.46696178,  9.32805176],\n",
       "        [87.73236073, 14.68417122],\n",
       "        [52.56566404, 16.68491736],\n",
       "        [85.28727707,  2.70692024],\n",
       "        [84.09269038,  9.71395988],\n",
       "        [70.77228628, 30.11868959],\n",
       "        [70.26183039, 15.08890868],\n",
       "        [84.00407452, 10.37394578],\n",
       "        [67.35756995, 18.44071988],\n",
       "        [83.9884511 ,  6.01932399],\n",
       "        [72.62412605,  5.66069632],\n",
       "        [65.01897902,  1.79000438],\n",
       "        [63.61814356, 16.17901402],\n",
       "        [66.14158306,  5.80249761],\n",
       "        [79.03233566, 25.08375839],\n",
       "        [95.05785219, 16.3610554 ],\n",
       "        [48.34091136,  4.55623859],\n",
       "        [68.66777591, 11.25900969],\n",
       "        [56.57603933, 13.02888662],\n",
       "        [92.05660975, 10.89223388],\n",
       "        [79.00911463,  7.37190779],\n",
       "        [93.55861977, 19.86637219],\n",
       "        [63.43132854, 15.36497928],\n",
       "        [91.34018787,  1.50060761],\n",
       "        [83.84763215,  0.56412403],\n",
       "        [91.07375191,  4.45660955],\n",
       "        [77.83462812, 11.64781789],\n",
       "        [76.41510451, 16.14851855],\n",
       "        [78.86228417,  4.68217698],\n",
       "        [43.61982994,  6.98930067],\n",
       "        [65.03296963,  3.93763587],\n",
       "        [83.22999606,  1.80558359],\n",
       "        [65.2618119 , 25.25565978],\n",
       "        [80.68323732, 14.42009143],\n",
       "        [91.30234136, 15.91525629],\n",
       "        [46.4355076 ,  6.67605572],\n",
       "        [84.6123736 , 21.70305227],\n",
       "        [64.35747525, 24.36424146],\n",
       "        [69.46179298, 30.02830047],\n",
       "        [84.73470283, 14.2726465 ],\n",
       "        [62.09049764, 23.02321173],\n",
       "        [72.50400927, 14.13486516],\n",
       "        [50.52606505,  6.6835117 ],\n",
       "        [69.75356931, 19.89100372],\n",
       "        [46.56676148,  3.98923517],\n",
       "        [59.71305553,  2.45056979],\n",
       "        [93.508449  ,  8.86470965],\n",
       "        [75.06836249,  3.83384195],\n",
       "        [86.94628775, 19.57730347],\n",
       "        [95.06109023, 14.33173157],\n",
       "        [49.63123087, 22.00053407],\n",
       "        [71.96367265, 18.47847771],\n",
       "        [90.7416026 ,  6.45308226],\n",
       "        [57.63902094, 15.4561699 ],\n",
       "        [52.52888533,  0.32724118],\n",
       "        [69.29166564, 12.59443813],\n",
       "        [68.1893381 , 20.66856131],\n",
       "        [94.8415642 ,  0.36457785],\n",
       "        [69.71375562, 18.51644724],\n",
       "        [96.40730034,  5.63348099],\n",
       "        [75.47562348, 10.37616627],\n",
       "        [64.77472286, 10.55252093],\n",
       "        [50.0426812 , 11.57607801],\n",
       "        [79.29732334,  1.79763274],\n",
       "        [55.21172167, 10.49259191],\n",
       "        [83.85494783,  7.8349267 ],\n",
       "        [84.23157699, 12.04599772],\n",
       "        [68.1445648 ,  1.15616799],\n",
       "        [97.52538214,  0.18694494],\n",
       "        [68.53374195, 13.38535063],\n",
       "        [50.15960035, 19.1037741 ],\n",
       "        [83.19804974,  8.39689709],\n",
       "        [85.86960431, 12.2359107 ],\n",
       "        [72.68453465, 16.6343247 ],\n",
       "        [63.1305841 , 17.68636566],\n",
       "        [50.31936694,  1.32048558],\n",
       "        [81.4526093 , 22.32082801],\n",
       "        [50.32275749, 13.61723547],\n",
       "        [63.93960856, 15.02474399],\n",
       "        [79.00009639,  0.28409793],\n",
       "        [72.81623077, 26.85052149],\n",
       "        [46.96980188, 10.42546762],\n",
       "        [67.85593392, 27.43983339],\n",
       "        [74.67021504, 26.19268329],\n",
       "        [77.48634301,  0.65394617],\n",
       "        [55.6995239 , 16.62165988],\n",
       "        [57.10363128, 19.3983129 ],\n",
       "        [77.19935431, 21.37963619],\n",
       "        [61.45723399, 22.68569048],\n",
       "        [73.62900901,  2.11610149],\n",
       "        [95.0513997 , 13.85577261],\n",
       "        [86.94071962,  3.77748602],\n",
       "        [80.36204869,  6.5154872 ],\n",
       "        [64.64632975, 17.84137299],\n",
       "        [56.0314067 ,  2.715917  ],\n",
       "        [67.38624125, 21.39738381],\n",
       "        [66.17246988, 14.43913696],\n",
       "        [93.10465926,  4.44884986],\n",
       "        [62.66858501, 14.2398263 ],\n",
       "        [56.65866139, 15.8941875 ],\n",
       "        [99.47650883, 10.08848252],\n",
       "        [69.06574626,  5.54182423],\n",
       "        [70.0167563 ,  2.44883709],\n",
       "        [67.83222714, 31.07538303],\n",
       "        [69.02756165,  4.68214732],\n",
       "        [46.84360689,  3.23656347],\n",
       "        [64.87828194, 16.8408534 ],\n",
       "        [96.357528  ,  2.09106725],\n",
       "        [90.11684595, 10.55034354],\n",
       "        [48.64184813,  6.44224475],\n",
       "        [58.17671563,  4.37016882],\n",
       "        [64.14757266,  2.83467704],\n",
       "        [98.98389846,  2.75455722],\n",
       "        [55.44395894, 25.61565434],\n",
       "        [97.99993651, 12.82092357],\n",
       "        [55.68655193,  0.51381567],\n",
       "        [66.32235502, 16.95238533],\n",
       "        [59.51615282,  1.39010088],\n",
       "        [72.75986112, 27.07717074],\n",
       "        [90.73037634, 13.58549751],\n",
       "        [89.09739958, 17.43531569],\n",
       "        [66.86085667, 24.24031779],\n",
       "        [47.7609063 , 20.95628878],\n",
       "        [69.01601274,  6.0536532 ],\n",
       "        [98.68987722, 12.96411283],\n",
       "        [75.26045413,  7.38603127],\n",
       "        [52.71194311, 21.14267102],\n",
       "        [97.97419711,  1.32091271],\n",
       "        [97.71733425, 15.00898721],\n",
       "        [81.40881336, 25.09992349],\n",
       "        [88.00387922, 20.9719586 ],\n",
       "        [55.13048215, 25.25373531],\n",
       "        [61.61084494, 24.2493113 ],\n",
       "        [83.07772418, 18.96906084],\n",
       "        [67.00625212, 30.54519835],\n",
       "        [86.12795488,  3.5058683 ],\n",
       "        [59.02589828, 11.78788115],\n",
       "        [87.94632067,  7.19745492],\n",
       "        [52.04526597, 18.14728754],\n",
       "        [51.6179368 ,  4.87025941],\n",
       "        [56.57991641,  0.25094903],\n",
       "        [71.58818393, 14.20409823],\n",
       "        [82.48837807, 20.22468414],\n",
       "        [57.611107  , 21.7955152 ],\n",
       "        [80.08446417, 14.53426607],\n",
       "        [91.58306367,  2.46218779],\n",
       "        [70.45335056,  7.33497777],\n",
       "        [98.43244589, 12.50390859],\n",
       "        [71.07018   , 23.73288544],\n",
       "        [77.27203986, 21.83299908],\n",
       "        [50.73410824, 14.67050141],\n",
       "        [70.03476868, 27.10939851],\n",
       "        [82.04350461, 15.45380916],\n",
       "        [50.63677016,  3.40634493],\n",
       "        [67.77735866, 14.44383602],\n",
       "        [44.17721437, 12.28017946],\n",
       "        [63.51156832, 18.83283967],\n",
       "        [55.95198215, 14.61819405],\n",
       "        [62.3886704 , 30.64738458],\n",
       "        [80.16678365,  9.1481484 ],\n",
       "        [67.53541997, 20.36029563],\n",
       "        [50.27358278, 20.50046614],\n",
       "        [49.85633362, 17.87981255],\n",
       "        [75.94079249,  3.45669329],\n",
       "        [70.41528718,  3.30907575],\n",
       "        [69.88140058,  0.3854461 ],\n",
       "        [91.75825691, 17.72147992],\n",
       "        [91.18466573, 10.88898176],\n",
       "        [64.14205104, 25.81840153],\n",
       "        [65.21921952,  0.87629776],\n",
       "        [76.43107993, 20.02025135],\n",
       "        [62.67298625, 10.93980341],\n",
       "        [94.24221516, 15.10561496],\n",
       "        [68.041448  , 20.6173455 ],\n",
       "        [53.93292979, 17.63311473],\n",
       "        [47.57815661, 16.78739482],\n",
       "        [63.31004107, 20.16938615],\n",
       "        [49.28379629,  5.53742134],\n",
       "        [80.2600183 , 20.60751528],\n",
       "        [53.74897452, 24.86858456],\n",
       "        [79.39815184, 26.45780255],\n",
       "        [87.58530151, 17.60172417],\n",
       "        [63.37550457, 14.66404059],\n",
       "        [57.4557774 , 24.61813876],\n",
       "        [51.1649553 , 13.33469998],\n",
       "        [65.29966093, 29.57957679],\n",
       "        [75.21984672, 27.94379789],\n",
       "        [99.92552884,  9.93341567],\n",
       "        [89.21412561, 16.20704433],\n",
       "        [54.64350697, 23.18461631],\n",
       "        [72.50352756,  0.88059084],\n",
       "        [60.6827686 , 19.56789522],\n",
       "        [78.62513608, 23.88638482],\n",
       "        [79.95221065,  1.28282276],\n",
       "        [55.45447744,  7.0953261 ],\n",
       "        [56.10079054,  0.99881852],\n",
       "        [44.88266402,  5.98640091],\n",
       "        [90.63543243,  6.6504009 ],\n",
       "        [62.31055852, 18.52217471],\n",
       "        [97.67071347, 14.19293672],\n",
       "        [89.83285811, 19.758557  ],\n",
       "        [77.4981122 , 23.34684859],\n",
       "        [58.53371854, 11.65048629],\n",
       "        [46.69727719,  5.14031006],\n",
       "        [46.0776183 , 17.06645519],\n",
       "        [68.75397527, 15.22652734],\n",
       "        [98.11704735,  9.28505662],\n",
       "        [55.90723832, 23.9494682 ],\n",
       "        [76.3071185 , 21.74535488],\n",
       "        [68.15408875, 15.02374139],\n",
       "        [62.9311478 , 12.92274071],\n",
       "        [89.43100754,  1.65264754],\n",
       "        [95.78580251,  5.03666919],\n",
       "        [92.09605589, 13.6160934 ],\n",
       "        [52.52784943,  8.51641283],\n",
       "        [54.53084657, 15.26273257],\n",
       "        [89.16280639,  7.74720795],\n",
       "        [81.47005967,  2.12932266],\n",
       "        [53.86521595, 14.34028911],\n",
       "        [83.41737394,  8.02431593],\n",
       "        [45.45718024,  1.29787379],\n",
       "        [83.24168339,  3.34588288],\n",
       "        [52.0556361 ,  5.43209201],\n",
       "        [77.13997133,  3.43119103],\n",
       "        [81.70183558, 22.30869959],\n",
       "        [47.26959611,  2.83425656],\n",
       "        [45.60751091, 14.26226791],\n",
       "        [61.21388125,  4.73943034],\n",
       "        [68.50255332, 25.09253509],\n",
       "        [77.13609381, 26.18189057],\n",
       "        [58.64192742, 27.34087322],\n",
       "        [50.00146495,  8.32999272],\n",
       "        [45.68813088,  7.96258772],\n",
       "        [75.18912098,  8.85201278],\n",
       "        [68.33560632, 21.05359728],\n",
       "        [44.49311231, 17.80780465],\n",
       "        [89.06975879, 11.42590399],\n",
       "        [78.24809337,  7.09447687],\n",
       "        [67.93594848, 22.86708332],\n",
       "        [73.9131213 , 25.21488286],\n",
       "        [65.73272656, 17.68268055],\n",
       "        [66.09263852, 13.60683485],\n",
       "        [52.26784394, 11.13778747],\n",
       "        [44.25226214,  7.32558654],\n",
       "        [48.56979856, 14.48031496],\n",
       "        [64.6717157 , 21.34541286],\n",
       "        [73.87841668, 10.33866156],\n",
       "        [54.86212552, 17.32640436],\n",
       "        [67.29230463,  6.45544027],\n",
       "        [91.18959007,  6.98836991],\n",
       "        [70.81420462,  3.43414536],\n",
       "        [85.35403261, 15.12080015],\n",
       "        [56.14399777,  4.25018187],\n",
       "        [89.22620444,  0.64255484],\n",
       "        [66.92252916, 22.8563558 ],\n",
       "        [73.65216542,  0.64264003],\n",
       "        [55.3874261 , 24.44618736],\n",
       "        [44.51111578,  5.34287203],\n",
       "        [45.51750415, 10.53840469],\n",
       "        [78.70651892,  3.04258878],\n",
       "        [88.55746173,  3.42955632],\n",
       "        [51.27304201, 10.74701573],\n",
       "        [72.1542483 , 17.64612301],\n",
       "        [60.6386664 , 27.9843694 ],\n",
       "        [56.14073738,  7.43236797],\n",
       "        [59.20615129, 20.67834468],\n",
       "        [68.99890795, 23.61234163],\n",
       "        [56.18455051, 20.59502694],\n",
       "        [71.9763944 , 10.59789279],\n",
       "        [44.74452159, 16.87566852],\n",
       "        [57.83575598,  8.94033083],\n",
       "        [99.52560515,  7.60265971],\n",
       "        [62.15086402, 19.79108576],\n",
       "        [50.18411911, 17.55833428]]),\n",
       " 2: array([[35.58589595, 48.19386806],\n",
       "        [50.65284955, 63.78185746],\n",
       "        [38.02447987, 48.01033482],\n",
       "        [58.31969536, 58.73306383],\n",
       "        [32.73567475, 32.15841522],\n",
       "        [53.88555421, 32.95304726],\n",
       "        [49.20424743, 57.26139396],\n",
       "        [48.77085527, 48.27032544],\n",
       "        [46.54517222, 47.814215  ],\n",
       "        [34.22851812, 33.82396409],\n",
       "        [51.10139323, 47.52314874],\n",
       "        [39.99127178, 53.93261594],\n",
       "        [52.17386141, 46.09393021],\n",
       "        [52.61261924, 56.24990674],\n",
       "        [38.77802001, 49.13226513],\n",
       "        [58.5782806 , 40.80719746],\n",
       "        [47.683056  , 51.95883013],\n",
       "        [39.79284209, 34.69642855],\n",
       "        [31.5266238 , 51.42885429],\n",
       "        [34.69746786, 48.36240434],\n",
       "        [59.7074482 , 35.59416516],\n",
       "        [53.91985575, 58.7877298 ],\n",
       "        [53.32307479, 34.2444469 ],\n",
       "        [41.48813278, 33.64484255],\n",
       "        [63.83906734, 50.47314995],\n",
       "        [48.98190948, 33.04151676],\n",
       "        [34.94901675, 31.39420926],\n",
       "        [26.36435989, 51.87476626],\n",
       "        [53.13414379, 62.06542252],\n",
       "        [32.19063062, 45.11123589],\n",
       "        [44.18285426, 28.33049353],\n",
       "        [40.32190548, 47.88326648],\n",
       "        [37.99153317, 43.18353598],\n",
       "        [40.88816878, 23.70051438],\n",
       "        [43.23407368, 36.0128127 ],\n",
       "        [38.10651172, 57.67981395],\n",
       "        [50.37806768, 41.5211301 ],\n",
       "        [30.24102372, 39.90106513],\n",
       "        [56.8671945 , 45.42650381],\n",
       "        [52.05591927, 38.31655866],\n",
       "        [28.53916144, 53.79254142],\n",
       "        [55.16798433, 54.51195116],\n",
       "        [49.31879674, 25.19921034],\n",
       "        [53.91850686, 40.34938952],\n",
       "        [41.50468766, 40.88236322],\n",
       "        [62.00557182, 54.69650362],\n",
       "        [37.19639858, 44.4019327 ],\n",
       "        [59.57172701, 43.52469473],\n",
       "        [50.15474194, 39.63909798],\n",
       "        [27.70270791, 39.70292833],\n",
       "        [46.04168674, 30.96196797],\n",
       "        [59.74905751, 53.12915423],\n",
       "        [51.37861779, 34.17890615],\n",
       "        [23.64975346, 46.54520069],\n",
       "        [42.5956869 , 36.3161492 ],\n",
       "        [37.74918663, 43.8999012 ],\n",
       "        [60.6445776 , 51.46410496],\n",
       "        [54.11289321, 45.81871503],\n",
       "        [62.5250631 , 39.1492765 ],\n",
       "        [60.18865614, 37.39450953],\n",
       "        [56.37232724, 62.02541351],\n",
       "        [55.53931981, 35.73264292],\n",
       "        [52.22421671, 62.96214973],\n",
       "        [51.63050963, 46.21300554],\n",
       "        [48.11026668, 41.38775284],\n",
       "        [45.21766299, 32.05912984],\n",
       "        [31.43160406, 56.42819184],\n",
       "        [60.22751569, 48.94817861],\n",
       "        [44.16569093, 32.25056354],\n",
       "        [42.436079  , 45.21112243],\n",
       "        [32.52310634, 51.06225938],\n",
       "        [36.80530406, 62.70381366],\n",
       "        [35.53507388, 48.27039568],\n",
       "        [34.64103787, 44.81474646],\n",
       "        [37.98802893, 44.05580438],\n",
       "        [47.67046485, 52.81616335],\n",
       "        [56.60394555, 48.40967755],\n",
       "        [53.54636362, 35.48772072],\n",
       "        [60.23922829, 45.60574909],\n",
       "        [28.90639986, 42.98682616],\n",
       "        [60.21686928, 56.68301451],\n",
       "        [47.44252813, 23.55528504],\n",
       "        [43.09825551, 64.64738099],\n",
       "        [60.9558061 , 52.11991263],\n",
       "        [60.66771419, 39.0180305 ],\n",
       "        [47.02080432, 24.93492593],\n",
       "        [54.06836779, 37.12224341],\n",
       "        [45.69065569, 55.28297565],\n",
       "        [48.075129  , 54.16320871],\n",
       "        [47.3688237 , 33.1293517 ],\n",
       "        [50.66053285, 44.22027167],\n",
       "        [43.49577101, 62.16453314],\n",
       "        [46.67810953, 36.21965936],\n",
       "        [53.59719298, 43.16594165],\n",
       "        [40.66724593, 28.33228872],\n",
       "        [61.85164324, 50.20040663],\n",
       "        [54.24202116, 57.19279856],\n",
       "        [38.32036854, 30.5299042 ],\n",
       "        [46.1612262 , 33.88798194],\n",
       "        [47.11643121, 25.73582836],\n",
       "        [63.6883622 , 33.59942213],\n",
       "        [53.60250147, 61.52175192],\n",
       "        [28.28638497, 39.8253898 ],\n",
       "        [53.68056391, 51.69070493],\n",
       "        [35.16129438, 48.95612991],\n",
       "        [63.68587169, 61.6467046 ],\n",
       "        [52.57896613, 38.29987597],\n",
       "        [59.65741114, 44.35445876],\n",
       "        [39.26673963, 64.67491032],\n",
       "        [34.54335478, 58.12080081],\n",
       "        [45.02470469, 34.4526225 ],\n",
       "        [42.591113  , 21.88597549],\n",
       "        [50.10473668, 61.43386288],\n",
       "        [60.14193825, 54.85193292],\n",
       "        [39.63479439, 60.99920989],\n",
       "        [62.54108036, 53.81070128],\n",
       "        [49.01469168, 56.30162618],\n",
       "        [48.1599305 , 28.66400301],\n",
       "        [34.59200301, 30.33250106],\n",
       "        [49.66727235, 54.55714614],\n",
       "        [37.19852296, 33.61568909],\n",
       "        [43.63012441, 20.76049188],\n",
       "        [65.06828223, 54.3389984 ],\n",
       "        [29.65441004, 55.70142575],\n",
       "        [48.01118507, 49.6545848 ],\n",
       "        [46.43834507, 25.68389931],\n",
       "        [46.89614211, 33.58227942],\n",
       "        [51.03144386, 60.93590043],\n",
       "        [27.3561237 , 43.55983656],\n",
       "        [36.65938459, 60.37920478],\n",
       "        [58.68925016, 53.00595479],\n",
       "        [32.71577469, 49.87555689],\n",
       "        [52.30887335, 39.89991939],\n",
       "        [50.04296424, 61.37506163],\n",
       "        [43.11074089, 43.70793786],\n",
       "        [44.4351246 , 57.91784899],\n",
       "        [62.78321821, 39.75184025],\n",
       "        [55.19401268, 60.5984342 ],\n",
       "        [45.34864401, 54.80721014],\n",
       "        [31.84912231, 43.27928881],\n",
       "        [54.75098029, 53.60671741],\n",
       "        [47.63620496, 40.19601111],\n",
       "        [50.14767576, 61.72181602],\n",
       "        [62.54590888, 55.66979558],\n",
       "        [32.23986584, 39.54813439],\n",
       "        [47.81538031, 54.28677421],\n",
       "        [22.43217907, 49.52422938],\n",
       "        [61.29637501, 47.25994752],\n",
       "        [30.45784463, 36.13222041],\n",
       "        [31.4637085 , 50.36093343],\n",
       "        [25.63061309, 51.25907927],\n",
       "        [52.20563289, 49.34751784],\n",
       "        [55.26802291, 59.0149767 ],\n",
       "        [61.9886026 , 53.41360092],\n",
       "        [30.85325409, 43.0219721 ],\n",
       "        [62.8693623 , 53.51772501],\n",
       "        [28.72127303, 44.12503144],\n",
       "        [32.87821348, 40.16922361],\n",
       "        [54.77201378, 51.73629828],\n",
       "        [43.85444777, 64.36988931],\n",
       "        [53.62063806, 49.57966374],\n",
       "        [29.11266144, 43.34496912],\n",
       "        [32.39737414, 33.46726467],\n",
       "        [36.57229238, 60.90225955],\n",
       "        [35.66241052, 33.06969381],\n",
       "        [30.33207019, 40.24619255],\n",
       "        [60.81463788, 33.95509814],\n",
       "        [51.77268811, 29.5140435 ],\n",
       "        [49.48254818, 57.35279546],\n",
       "        [43.65268627, 28.53124037],\n",
       "        [42.47070069, 25.26301373],\n",
       "        [41.83266735, 51.66451584],\n",
       "        [46.88724481, 48.8092981 ],\n",
       "        [50.01126507, 43.57209527],\n",
       "        [54.10541795, 54.53138693],\n",
       "        [52.67563436, 44.45082024],\n",
       "        [43.34591223, 52.07252921],\n",
       "        [59.75587785, 33.456311  ],\n",
       "        [30.77552056, 52.39870149],\n",
       "        [59.17068877, 57.3388594 ],\n",
       "        [40.75161429, 48.5042789 ],\n",
       "        [39.77473834, 41.07889046],\n",
       "        [53.54141176, 56.49339023],\n",
       "        [43.89984516, 38.30632223],\n",
       "        [32.88814608, 39.98042708],\n",
       "        [63.13038767, 35.40177654],\n",
       "        [46.98113787, 27.70048792],\n",
       "        [37.29837694, 28.42798971],\n",
       "        [39.99191944, 60.97100376],\n",
       "        [53.06633266, 42.85301721],\n",
       "        [27.34564515, 40.25587229],\n",
       "        [46.47259248, 38.08620841],\n",
       "        [39.81632148, 37.24322084],\n",
       "        [34.2360116 , 45.77260299],\n",
       "        [35.48575437, 56.66481188],\n",
       "        [47.7818504 , 22.24502972],\n",
       "        [38.96751047, 32.95306777],\n",
       "        [38.94955996, 51.66757877],\n",
       "        [47.09197857, 43.27265307],\n",
       "        [41.06080528, 48.11040505],\n",
       "        [51.79054708, 60.93505356],\n",
       "        [60.81901113, 54.11529961],\n",
       "        [33.52213905, 55.88527716],\n",
       "        [36.41307505, 58.92018541],\n",
       "        [61.75705216, 54.19147774],\n",
       "        [56.62747672, 45.39234324],\n",
       "        [48.73317256, 58.41873557],\n",
       "        [34.29252889, 49.24650035],\n",
       "        [64.17425045, 44.77692738],\n",
       "        [45.78932272, 55.72488732],\n",
       "        [28.6723464 , 43.25511729],\n",
       "        [49.68943369, 56.96323492],\n",
       "        [29.23115605, 45.7192856 ],\n",
       "        [64.85876195, 56.64862618],\n",
       "        [43.58179898, 56.30162034],\n",
       "        [26.79312726, 46.80411831],\n",
       "        [28.4869468 , 55.71475078],\n",
       "        [57.46157058, 41.60909148],\n",
       "        [33.9846911 , 43.9143763 ],\n",
       "        [57.4717621 , 38.84204411],\n",
       "        [45.41179348, 53.21122887],\n",
       "        [64.09859622, 38.67942804],\n",
       "        [45.59730489, 59.0650343 ],\n",
       "        [44.66976375, 59.49874392],\n",
       "        [58.92109127, 61.85695264],\n",
       "        [42.37013459, 58.13486978],\n",
       "        [48.891246  , 59.62051582],\n",
       "        [41.44607818, 24.23163293],\n",
       "        [32.12805931, 32.88911456],\n",
       "        [54.83090151, 34.03103301],\n",
       "        [36.68659946, 32.07523988],\n",
       "        [58.66199789, 42.65860576],\n",
       "        [31.39331539, 44.57358884],\n",
       "        [39.57479221, 51.15061893],\n",
       "        [30.2708453 , 44.52371275],\n",
       "        [39.9863324 , 47.84502623],\n",
       "        [55.81559109, 35.43527759],\n",
       "        [43.07279998, 48.85730108],\n",
       "        [60.84100691, 34.29195326],\n",
       "        [57.12583902, 33.16407637],\n",
       "        [48.84176748, 35.40043845],\n",
       "        [61.07440703, 42.56156509],\n",
       "        [55.37944689, 39.83624462],\n",
       "        [28.96719031, 37.1282249 ],\n",
       "        [51.51686886, 58.18308933],\n",
       "        [33.37829233, 31.59530204],\n",
       "        [46.54825439, 24.51043566],\n",
       "        [44.38619888, 34.74208661],\n",
       "        [43.29314679, 46.31484196],\n",
       "        [51.92293507, 24.88533823],\n",
       "        [45.64150924, 51.90718226],\n",
       "        [45.87062044, 23.38350309],\n",
       "        [40.80735912, 27.64619058],\n",
       "        [56.09646321, 43.58234098],\n",
       "        [58.58145906, 38.34891073],\n",
       "        [54.33941959, 55.61708158],\n",
       "        [61.23827434, 32.31836402],\n",
       "        [46.52651621, 44.14495563],\n",
       "        [63.25617034, 59.86484812],\n",
       "        [40.12013998, 44.4328401 ],\n",
       "        [31.99371369, 49.91583325],\n",
       "        [50.71551884, 27.59946094],\n",
       "        [29.58948188, 46.9136498 ],\n",
       "        [56.46752504, 51.57763731],\n",
       "        [59.74130841, 55.36642279],\n",
       "        [34.46314917, 31.75052659],\n",
       "        [33.64090113, 53.61246438],\n",
       "        [39.03598084, 49.559312  ],\n",
       "        [46.97310852, 40.11825786],\n",
       "        [44.32085229, 54.18428734],\n",
       "        [38.32505653, 34.60130958],\n",
       "        [39.89739834, 51.51222631],\n",
       "        [47.66689311, 64.14381566],\n",
       "        [48.82806924, 44.63532331],\n",
       "        [35.51630851, 45.60558628],\n",
       "        [48.9471241 , 25.18775126]]),\n",
       " 3: array([[15.34772651, 40.1229094 ],\n",
       "        [ 1.45946609, 28.46613211],\n",
       "        [26.45223404, 22.18262474],\n",
       "        [ 3.37535547,  9.89857743],\n",
       "        [ 6.59470904,  8.16132736],\n",
       "        [ 3.84646112,  7.5516933 ],\n",
       "        [11.00144052, 33.34575342],\n",
       "        [21.29496809, 35.1661722 ],\n",
       "        [12.07787724,  4.5499789 ],\n",
       "        [ 9.42612305, 15.50444404],\n",
       "        [37.92619344,  2.2529177 ],\n",
       "        [ 7.16868481,  4.55800926],\n",
       "        [24.73023758, 30.85704112],\n",
       "        [16.07560289,  3.28800118],\n",
       "        [29.19845537,  8.31646148],\n",
       "        [22.0841227 ,  3.7107579 ],\n",
       "        [40.72091058,  6.68301785],\n",
       "        [20.44027486, 14.10394374],\n",
       "        [28.87913127, 21.38432515],\n",
       "        [25.96582129, 10.1386252 ],\n",
       "        [21.37339419,  5.92676693],\n",
       "        [19.95123162,  2.56633151],\n",
       "        [ 2.78690524,  9.75690457],\n",
       "        [23.81138969,  6.45717214],\n",
       "        [ 2.56177507, 11.07365573],\n",
       "        [20.47893151, 21.60191325],\n",
       "        [17.17701641, 38.87446423],\n",
       "        [ 1.15214725, 41.20988627],\n",
       "        [13.70416918,  5.034583  ],\n",
       "        [29.67481371, 31.18770059],\n",
       "        [ 2.92512639, 36.0583339 ],\n",
       "        [ 9.38157191, 24.46736105],\n",
       "        [ 2.28721002, 17.71116871],\n",
       "        [ 8.82714946,  1.37047699],\n",
       "        [34.85237643, 28.92227692],\n",
       "        [24.86167164, 12.51592923],\n",
       "        [ 7.71784936, 14.85921845],\n",
       "        [ 6.26581402, 34.61853787],\n",
       "        [ 8.91631948, 41.53793671],\n",
       "        [17.11249355, 11.53889248],\n",
       "        [22.70056447,  1.39514332],\n",
       "        [19.4655527 , 31.49549144],\n",
       "        [18.14354401,  3.7506382 ],\n",
       "        [40.78945854, 12.11075722],\n",
       "        [20.16808067, 45.31970663],\n",
       "        [16.15467339, 13.78633196],\n",
       "        [28.19177828, 31.28751972],\n",
       "        [34.27396704, 10.91589923],\n",
       "        [11.871562  , 13.59090747],\n",
       "        [35.78965112,  6.349456  ],\n",
       "        [15.21053826, 26.48125457],\n",
       "        [14.0424412 , 45.44349695],\n",
       "        [20.6833378 ,  4.49533912],\n",
       "        [34.20666341, 20.66092095],\n",
       "        [24.95093977,  2.9601484 ],\n",
       "        [16.12247787,  2.49404051],\n",
       "        [ 8.07881124, 12.20083669],\n",
       "        [14.83971261, 42.01514857],\n",
       "        [ 5.13955496, 37.4802277 ],\n",
       "        [ 5.0018346 , 23.31064795],\n",
       "        [19.72495131, 40.39857358],\n",
       "        [19.3986494 , 16.92815666],\n",
       "        [19.97476226, 22.58850039],\n",
       "        [ 3.21831465, 14.49869069],\n",
       "        [15.84394525, 33.49330006],\n",
       "        [ 0.07947106, 14.56501946],\n",
       "        [19.22952855, 23.60247341],\n",
       "        [ 3.60542551, 37.35734043],\n",
       "        [23.93149046, 26.37024922],\n",
       "        [ 8.05244611,  4.38671389],\n",
       "        [30.82495006, 20.90910385],\n",
       "        [42.32789591, 14.52111578],\n",
       "        [ 0.95051157, 44.67627924],\n",
       "        [27.52159428, 30.34063788],\n",
       "        [12.04264873, 28.65641634],\n",
       "        [28.21254949,  1.9824464 ],\n",
       "        [18.52459583, 36.61341673],\n",
       "        [34.89208115, 19.76459932],\n",
       "        [24.14833461,  4.36720848],\n",
       "        [ 4.93270267,  4.12355099],\n",
       "        [ 8.20855398, 23.54179806],\n",
       "        [ 6.69370401, 26.05441453],\n",
       "        [ 5.20384594, 29.55174656],\n",
       "        [27.6339876 , 21.86417558],\n",
       "        [16.70850735,  0.83898741],\n",
       "        [34.50006476,  4.69679455],\n",
       "        [19.47495287, 36.32656704],\n",
       "        [ 2.42861044, 41.41995434],\n",
       "        [42.79568936, 15.1438651 ],\n",
       "        [25.70882898, 38.53213382],\n",
       "        [28.12542319, 13.1061385 ],\n",
       "        [15.51834563, 32.39967495],\n",
       "        [26.95154996, 12.71971353],\n",
       "        [22.48516683, 25.26225281],\n",
       "        [14.81594855,  3.16724955],\n",
       "        [35.5611388 ,  2.63267712],\n",
       "        [17.61997721, 11.72160885],\n",
       "        [34.38510801,  5.47635596],\n",
       "        [11.09811639,  3.38192313],\n",
       "        [22.92161019, 38.05799833],\n",
       "        [10.56437209,  0.76175705],\n",
       "        [17.32768234, 20.29045103],\n",
       "        [10.35062649, 44.42356234],\n",
       "        [20.28174999,  1.45714237],\n",
       "        [19.27838757, 34.67189735],\n",
       "        [24.48203556,  7.20664982],\n",
       "        [24.94358127,  7.56225412],\n",
       "        [ 2.87388755, 11.73210045],\n",
       "        [24.49653659,  6.800378  ],\n",
       "        [13.37817104, 23.17815803],\n",
       "        [25.15455027,  0.87855631],\n",
       "        [34.35842681, 27.05239781],\n",
       "        [ 3.1749722 ,  8.99810581],\n",
       "        [ 3.66989256,  8.52399206],\n",
       "        [17.34756699, 18.11159293],\n",
       "        [ 6.42414731, 44.12049421],\n",
       "        [10.92417545, 11.15644026],\n",
       "        [19.35240115, 20.41838901],\n",
       "        [ 8.03258999, 29.16091298],\n",
       "        [ 3.72726606, 33.07502079],\n",
       "        [13.88663289, 39.19514652],\n",
       "        [24.2336336 ,  4.43166862],\n",
       "        [13.75283117, 25.50951371],\n",
       "        [ 2.4163142 , 13.2578203 ],\n",
       "        [32.07555906,  6.2847239 ],\n",
       "        [12.20790193, 15.82243452],\n",
       "        [ 8.0710761 , 35.27231718],\n",
       "        [10.59309773,  3.93839542],\n",
       "        [ 6.8964246 , 16.43453259],\n",
       "        [10.86303427,  1.3088258 ],\n",
       "        [18.62292455, 10.30513984],\n",
       "        [16.12747529, 42.86750231],\n",
       "        [42.76284445, 14.42151772],\n",
       "        [ 0.42936273,  8.75645113],\n",
       "        [ 8.27381301, 24.88089874],\n",
       "        [28.28223983, 10.62408119],\n",
       "        [30.63573183,  5.2790431 ],\n",
       "        [ 3.01926258, 44.67558373],\n",
       "        [23.10088835, 25.90252004],\n",
       "        [12.28525104, 34.93819405],\n",
       "        [16.34599187, 27.74199022],\n",
       "        [ 2.31832893, 24.55539822],\n",
       "        [11.98778491, 30.61467458],\n",
       "        [13.3861419 , 33.49050589],\n",
       "        [ 4.47054663, 26.82465262],\n",
       "        [ 6.26230654, 35.91138738],\n",
       "        [25.36557513,  1.02051864],\n",
       "        [38.52198383, 22.35371129],\n",
       "        [16.86531378, 36.01320912],\n",
       "        [11.02934875, 33.33072997],\n",
       "        [ 3.9924775 , 42.63357005],\n",
       "        [ 8.79244041, 41.87628085],\n",
       "        [31.33909206,  3.52318156],\n",
       "        [14.88530195, 35.60588519],\n",
       "        [24.38665828, 14.81118128],\n",
       "        [ 2.76204647, 37.5027784 ],\n",
       "        [27.97245038, 29.08306268],\n",
       "        [37.94749106, 18.47009442],\n",
       "        [ 6.03164516, 32.97169716],\n",
       "        [35.66502362, 15.94407802],\n",
       "        [11.41810767,  3.79874476],\n",
       "        [17.40736779,  7.67497744],\n",
       "        [12.33552436, 43.42895853],\n",
       "        [10.91137112, 10.98175585],\n",
       "        [20.37213273, 40.05703852],\n",
       "        [30.80156065, 22.76867793],\n",
       "        [21.35902257, 25.12653453],\n",
       "        [19.30409817, 33.17016482],\n",
       "        [ 3.4467585 , 27.91270775],\n",
       "        [12.22882344, 20.68250196],\n",
       "        [34.23018747, 25.67509008],\n",
       "        [13.11644223, 22.97464735],\n",
       "        [33.44512898, 16.73430038],\n",
       "        [16.85814806, 37.5353323 ],\n",
       "        [24.19564717, 34.7866826 ],\n",
       "        [19.49219658, 41.97303545],\n",
       "        [40.52874689,  9.53459429],\n",
       "        [ 5.10816195,  9.78496336],\n",
       "        [28.9303189 , 16.21864266],\n",
       "        [ 3.1243676 , 14.95632503],\n",
       "        [ 1.23252828, 19.23569875],\n",
       "        [20.61535392, 44.49681906],\n",
       "        [11.76532398,  0.84859364],\n",
       "        [ 7.2776986 ,  1.74027543],\n",
       "        [ 7.52495537,  5.50097305],\n",
       "        [ 2.55380473,  5.4867971 ],\n",
       "        [23.48892228, 41.79715731],\n",
       "        [26.86511786, 31.13348735],\n",
       "        [ 5.3896403 , 32.0983678 ],\n",
       "        [16.71424803,  9.9209897 ],\n",
       "        [27.5011013 ,  9.87531779],\n",
       "        [10.8255794 ,  0.67291718],\n",
       "        [ 6.14577811,  5.35284451],\n",
       "        [16.94077483,  3.89972594],\n",
       "        [39.46394166, 20.11980615],\n",
       "        [10.44381858, 25.17792239],\n",
       "        [21.47020647,  3.13330126],\n",
       "        [19.70303852, 16.97469322],\n",
       "        [35.06533502, 28.12802906],\n",
       "        [ 1.20601757,  5.3170264 ],\n",
       "        [24.7033082 , 13.44221639],\n",
       "        [ 5.73271647, 18.67439805],\n",
       "        [36.29769057,  9.02721682],\n",
       "        [39.0550332 , 20.37917366],\n",
       "        [ 9.27753746, 34.93559739],\n",
       "        [ 4.69447553, 23.85794881],\n",
       "        [28.75349233,  8.79856233],\n",
       "        [ 1.25667622, 43.69612949],\n",
       "        [25.77448352,  6.14427682],\n",
       "        [16.57090698, 43.41648211],\n",
       "        [35.56461844, 13.66031342],\n",
       "        [23.70245399, 23.64030038],\n",
       "        [18.27411742,  2.49609468],\n",
       "        [12.95360482, 33.45547666],\n",
       "        [15.60177865, 27.46021827],\n",
       "        [18.72064037, 22.06780028],\n",
       "        [22.05417064, 25.40588947],\n",
       "        [10.43036728, 11.20676627],\n",
       "        [29.59828489, 12.51299328],\n",
       "        [ 0.60001584, 37.30463321],\n",
       "        [30.99999438,  6.72311636],\n",
       "        [16.26262131, 35.99236654],\n",
       "        [34.62746277, 28.93116911],\n",
       "        [36.44936802, 20.15280584],\n",
       "        [21.65121318, 11.71462177],\n",
       "        [16.80209232, 41.21530204],\n",
       "        [24.23280757, 39.38353489],\n",
       "        [ 0.82920236,  9.19774005],\n",
       "        [34.41005727, 18.09878098],\n",
       "        [ 8.50377063, 27.26145768],\n",
       "        [12.60016585, 24.7657274 ],\n",
       "        [33.29536817,  1.94827119],\n",
       "        [25.26380221,  0.36607802],\n",
       "        [32.5143718 , 15.47008827],\n",
       "        [13.91536503, 22.87428973],\n",
       "        [ 1.14481415, 11.48539783],\n",
       "        [35.12130112, 14.08135449],\n",
       "        [17.86738526,  6.22498629],\n",
       "        [37.0933471 ,  9.06690232],\n",
       "        [ 0.26629885,  1.37639562],\n",
       "        [12.9203079 ,  7.90695812],\n",
       "        [30.50672739,  3.43387407],\n",
       "        [ 8.36230023, 36.26362835],\n",
       "        [10.01690256, 19.23480954],\n",
       "        [ 6.34692341, 23.28446322],\n",
       "        [10.60507798, 26.70669796],\n",
       "        [29.60395615, 33.56975118],\n",
       "        [ 6.18164347,  3.81332418],\n",
       "        [ 1.49542201, 37.32217051],\n",
       "        [15.40962893, 29.90476977],\n",
       "        [ 2.61918029, 29.40202094],\n",
       "        [34.94436189, 24.7995289 ],\n",
       "        [ 2.64055464, 26.6426435 ],\n",
       "        [30.23671565,  1.34353911],\n",
       "        [34.30255629, 10.8336199 ],\n",
       "        [17.82932221, 21.00830351],\n",
       "        [ 9.60390838, 26.89915768],\n",
       "        [25.43760979, 10.18087688],\n",
       "        [10.79465847, 11.98495419],\n",
       "        [20.35499242, 24.71768059],\n",
       "        [ 4.14050332,  7.49027004],\n",
       "        [28.92084592, 17.36814183],\n",
       "        [31.55153539, 20.70366967],\n",
       "        [10.64757985, 21.34550766],\n",
       "        [25.56682063, 36.1663033 ],\n",
       "        [21.428423  , 41.08684137],\n",
       "        [14.50814408, 42.10141255],\n",
       "        [ 2.31956208,  5.66442217],\n",
       "        [ 1.60224528, 10.78568873],\n",
       "        [ 8.77037318,  4.76020427],\n",
       "        [ 4.36544853, 14.84122201],\n",
       "        [26.3380688 ,  7.52976408],\n",
       "        [19.26769434, 23.76797162],\n",
       "        [ 6.91432864,  9.64873402],\n",
       "        [ 4.15103987, 34.73449963],\n",
       "        [18.48697831, 28.02416975],\n",
       "        [35.67367941,  9.81585716],\n",
       "        [31.41329031, 10.55615873],\n",
       "        [ 7.54909508, 40.22189807],\n",
       "        [21.27083629, 33.02252357],\n",
       "        [23.2856662 , 27.53466735],\n",
       "        [ 0.05548029,  7.94706924],\n",
       "        [26.97035831, 36.79731074],\n",
       "        [30.8177079 , 28.87759277],\n",
       "        [27.25070038, 27.70444659],\n",
       "        [15.82335818, 27.17237647],\n",
       "        [ 3.34077654,  9.4296382 ],\n",
       "        [25.45141967, 13.71155144],\n",
       "        [31.70053226, 27.41307748],\n",
       "        [11.36161559, 21.28188314],\n",
       "        [41.31440946, 13.33839968],\n",
       "        [31.82298195,  9.48576895],\n",
       "        [ 2.62035238, 34.23106843],\n",
       "        [31.61011662, 13.30162573],\n",
       "        [12.58899985, 34.71588586],\n",
       "        [ 1.80234043, 24.53659408],\n",
       "        [29.17152818, 17.94649581],\n",
       "        [16.37381809, 26.11405882],\n",
       "        [ 8.84289949,  6.10365513],\n",
       "        [32.19326679,  5.8643707 ],\n",
       "        [22.78273063, 33.06349231],\n",
       "        [ 4.09534021, 16.68004753],\n",
       "        [ 8.11252486, 25.33938523],\n",
       "        [18.29421499, 32.72027826],\n",
       "        [27.48750561, 16.33466664],\n",
       "        [22.42655957, 34.74223805],\n",
       "        [30.48910848, 32.41385787],\n",
       "        [37.20628829, 11.99046971],\n",
       "        [22.11870884, 38.17374012],\n",
       "        [14.95497439,  9.46943738],\n",
       "        [ 1.49903277, 41.17932162],\n",
       "        [ 1.39364336, 19.63454469],\n",
       "        [20.96124043, 27.53168686],\n",
       "        [40.48338709, 14.90448831],\n",
       "        [13.19703213, 18.57211605],\n",
       "        [ 3.4055578 ,  8.73678907],\n",
       "        [41.78029819, 20.21548061],\n",
       "        [22.81299568, 39.12247552],\n",
       "        [25.84279393, 32.79951303]]),\n",
       " 4: array([[1.29245963e+01, 9.89601202e+01],\n",
       "        [9.21481989e+00, 8.37077458e+01],\n",
       "        [2.46567685e+00, 7.46213450e+01],\n",
       "        [1.91833548e+00, 7.98199124e+01],\n",
       "        [2.58378089e+01, 9.12284373e+01],\n",
       "        [3.21280943e+01, 8.04592465e+01],\n",
       "        [2.71956961e+01, 5.58929044e+01],\n",
       "        [1.25137702e+01, 9.11860381e+01],\n",
       "        [2.55894378e+01, 9.94658815e+01],\n",
       "        [2.24327872e+01, 9.25467554e+01],\n",
       "        [2.16213299e+01, 7.27683172e+01],\n",
       "        [2.86900501e+01, 6.15763899e+01],\n",
       "        [1.60965059e+01, 7.61090087e+01],\n",
       "        [2.84232534e+01, 7.30170992e+01],\n",
       "        [5.57292272e+00, 8.93146895e+01],\n",
       "        [2.80789707e+01, 7.48700486e+01],\n",
       "        [2.47429371e+01, 6.70779513e+01],\n",
       "        [1.21578839e+01, 5.79472949e+01],\n",
       "        [9.69465483e+00, 6.75891428e+01],\n",
       "        [1.84563103e+01, 5.78123361e+01],\n",
       "        [3.36166054e+00, 7.26926747e+01],\n",
       "        [5.96424607e+00, 4.73485553e+01],\n",
       "        [1.26027455e+01, 5.29282321e+01],\n",
       "        [2.92812577e+01, 6.29111977e+01],\n",
       "        [3.22650959e+00, 5.61209209e+01],\n",
       "        [1.16185222e+01, 7.82043702e+01],\n",
       "        [1.86459092e+01, 9.76178375e+01],\n",
       "        [1.69227973e+01, 8.85630419e+01],\n",
       "        [1.01046207e+01, 6.95457175e+01],\n",
       "        [4.40053695e+00, 9.47902834e+01],\n",
       "        [2.23740250e+01, 9.31975103e+01],\n",
       "        [2.04900694e+01, 8.88161496e+01],\n",
       "        [4.52687275e+00, 8.07508700e+01],\n",
       "        [1.29491428e+01, 9.07609018e+01],\n",
       "        [1.35562615e+01, 7.89395370e+01],\n",
       "        [1.61870596e+00, 5.07768558e+01],\n",
       "        [1.41323151e+01, 9.96691255e+01],\n",
       "        [2.84849658e+01, 7.09929599e+01],\n",
       "        [1.99075353e+01, 9.99945457e+01],\n",
       "        [2.61855815e+01, 6.41347233e+01],\n",
       "        [2.82854265e+01, 5.95162283e+01],\n",
       "        [1.99807650e+01, 8.36056524e+01],\n",
       "        [2.28566587e+01, 5.76093395e+01],\n",
       "        [1.09345844e+01, 5.44191745e+01],\n",
       "        [2.38196591e+01, 5.88538226e+01],\n",
       "        [1.29923173e+01, 7.93970282e+01],\n",
       "        [2.23126354e+01, 6.27752350e+01],\n",
       "        [3.47687926e+00, 6.28248917e+01],\n",
       "        [3.11564419e+00, 4.78693841e+01],\n",
       "        [3.02719038e+00, 6.94813585e+01],\n",
       "        [1.49562989e-01, 7.37879515e+01],\n",
       "        [2.15822893e+01, 8.06257160e+01],\n",
       "        [2.89837047e+01, 8.49375291e+01],\n",
       "        [1.90919907e-01, 7.60796762e+01],\n",
       "        [2.41542923e+01, 7.37943263e+01],\n",
       "        [1.28650318e+01, 4.79490957e+01],\n",
       "        [1.28917209e+01, 8.66353949e+01],\n",
       "        [7.72368444e+00, 5.72414875e+01],\n",
       "        [2.68654959e+00, 4.74650670e+01],\n",
       "        [3.50040543e+01, 6.73563812e+01],\n",
       "        [4.63953538e+00, 8.32188575e+01],\n",
       "        [1.04263513e+01, 9.72591034e+01],\n",
       "        [1.20158238e+01, 5.20798017e+01],\n",
       "        [1.91592526e+01, 5.90262948e+01],\n",
       "        [3.01608669e+01, 6.98326453e+01],\n",
       "        [2.11819745e+01, 8.35432189e+01],\n",
       "        [1.55201528e+01, 6.37766620e+01],\n",
       "        [2.73634547e+01, 7.22135413e+01],\n",
       "        [1.35339714e+01, 9.55032790e+01],\n",
       "        [1.63584737e+01, 7.78344511e+01],\n",
       "        [1.77255532e+01, 5.81846823e+01],\n",
       "        [1.48763530e+01, 5.35822762e+01],\n",
       "        [3.39878089e+01, 6.64025122e+01],\n",
       "        [2.10455550e+01, 8.81621176e+01],\n",
       "        [1.85293428e+01, 6.91908454e+01],\n",
       "        [1.03331390e+01, 7.84777752e+01],\n",
       "        [1.09691796e+01, 5.83795210e+01],\n",
       "        [1.30132631e+01, 6.11615503e+01],\n",
       "        [2.10419050e+00, 8.64435365e+01],\n",
       "        [9.41984510e+00, 9.16245124e+01],\n",
       "        [2.99917120e+01, 6.30257019e+01],\n",
       "        [2.47660296e+01, 8.83858376e+01],\n",
       "        [2.17082773e+01, 9.39991754e+01],\n",
       "        [2.85559628e+01, 6.27998940e+01],\n",
       "        [5.74974846e+00, 5.63557404e+01],\n",
       "        [3.15090406e+01, 7.46647988e+01],\n",
       "        [4.13687020e+00, 5.71787152e+01],\n",
       "        [1.81084354e+01, 7.07596115e+01],\n",
       "        [3.08337432e+01, 6.35324410e+01],\n",
       "        [1.72336228e+01, 5.67937671e+01],\n",
       "        [7.25844701e+00, 8.03564219e+01],\n",
       "        [1.57100791e+01, 5.59527266e+01],\n",
       "        [7.43250632e-01, 4.95633103e+01],\n",
       "        [4.19503181e+00, 6.26846467e+01],\n",
       "        [2.54880641e+01, 9.69647670e+01],\n",
       "        [2.11143851e+01, 9.65887096e+01],\n",
       "        [2.19941539e+01, 6.50369929e+01],\n",
       "        [1.45523893e+01, 7.87025241e+01],\n",
       "        [2.03331444e+01, 5.43878913e+01],\n",
       "        [2.75334949e+01, 8.37479065e+01],\n",
       "        [1.64662990e+01, 6.85340533e+01],\n",
       "        [2.61902988e+00, 9.37654135e+01],\n",
       "        [2.04570198e+01, 5.43782171e+01],\n",
       "        [1.14852052e+00, 6.78377243e+01],\n",
       "        [1.65892635e+01, 7.60087580e+01],\n",
       "        [3.13634666e+01, 7.70974945e+01],\n",
       "        [2.67150030e+01, 8.02030410e+01],\n",
       "        [1.92250242e+01, 8.37429041e+01],\n",
       "        [2.27711626e+01, 5.88392885e+01],\n",
       "        [2.91311195e+01, 7.67512085e+01],\n",
       "        [6.33689090e+00, 5.97088546e+01],\n",
       "        [2.84903930e+01, 7.24207118e+01],\n",
       "        [1.01467376e+01, 9.01715573e+01],\n",
       "        [1.12938459e+01, 5.51368735e+01],\n",
       "        [2.81893000e+01, 6.83846636e+01],\n",
       "        [2.81624156e+01, 6.88997582e+01],\n",
       "        [1.56372780e+01, 9.87568116e+01],\n",
       "        [1.19518176e+01, 7.89296899e+01],\n",
       "        [2.84937617e+01, 9.00419703e+01],\n",
       "        [1.54913964e+00, 5.62792599e+01],\n",
       "        [1.29397241e+01, 5.92685426e+01],\n",
       "        [2.48722760e+01, 9.37195704e+01],\n",
       "        [1.82810495e+00, 8.48542051e+01],\n",
       "        [6.45083249e+00, 6.69621361e+01],\n",
       "        [2.91885784e+01, 8.71471852e+01],\n",
       "        [8.01144816e+00, 5.17802333e+01],\n",
       "        [2.01795708e+01, 6.59160556e+01],\n",
       "        [2.39866759e+01, 6.54737681e+01],\n",
       "        [2.85517594e+01, 6.24064502e+01],\n",
       "        [1.97334835e+00, 8.27825857e+01],\n",
       "        [8.39913265e+00, 6.39246888e+01],\n",
       "        [1.57590855e+01, 6.95082112e+01],\n",
       "        [1.76887548e+01, 5.49415022e+01],\n",
       "        [5.62965850e+00, 7.89235115e+01],\n",
       "        [7.29200508e+00, 4.73673109e+01],\n",
       "        [2.45803231e+01, 7.27430454e+01],\n",
       "        [6.70629717e+00, 8.94471370e+01],\n",
       "        [1.96820021e+00, 6.55734679e+01],\n",
       "        [8.49463555e-01, 7.15241077e+01],\n",
       "        [2.53752115e-01, 7.41127526e+01],\n",
       "        [8.86614537e+00, 9.81059714e+01],\n",
       "        [2.61511319e+01, 6.10739586e+01],\n",
       "        [1.86985917e+01, 9.87807317e+01],\n",
       "        [5.33540220e+00, 7.88412772e+01],\n",
       "        [1.69958426e+00, 9.57895244e+01],\n",
       "        [3.05904522e+01, 6.45621031e+01],\n",
       "        [1.96595958e+01, 5.27493376e+01],\n",
       "        [3.28997514e+01, 7.08374698e+01],\n",
       "        [2.60386967e+01, 7.38513473e+01],\n",
       "        [1.77770625e+00, 6.25490726e+01],\n",
       "        [5.25524697e+00, 4.85616390e+01],\n",
       "        [8.39070261e+00, 6.83610003e+01],\n",
       "        [2.99627185e+01, 8.20519709e+01],\n",
       "        [1.28862836e+00, 4.85002126e+01],\n",
       "        [2.69105197e+01, 8.63299289e+01],\n",
       "        [3.29176425e+01, 6.61258373e+01],\n",
       "        [1.42122167e+01, 7.01945462e+01],\n",
       "        [1.62744231e+01, 6.88961466e+01],\n",
       "        [7.18474381e+00, 6.75251255e+01],\n",
       "        [1.76370531e+01, 6.89100364e+01],\n",
       "        [3.03246618e+01, 8.26280206e+01],\n",
       "        [9.14923825e+00, 6.01164654e+01],\n",
       "        [3.44991945e+00, 6.92414135e+01],\n",
       "        [3.30390025e+00, 9.07725744e+01],\n",
       "        [3.13587015e+01, 6.61948987e+01],\n",
       "        [1.48207465e+01, 7.42377904e+01],\n",
       "        [2.05864725e+01, 8.39677041e+01],\n",
       "        [2.41232637e+01, 5.54295406e+01],\n",
       "        [1.53971411e+01, 6.45968559e+01],\n",
       "        [1.61163678e-01, 7.42363180e+01],\n",
       "        [1.74426150e+01, 6.92118693e+01],\n",
       "        [9.20532791e+00, 5.34430575e+01],\n",
       "        [1.89178439e+01, 8.26745699e+01],\n",
       "        [3.20248241e+01, 6.17761527e+01],\n",
       "        [6.60228733e+00, 9.96509745e+01],\n",
       "        [2.63494568e+01, 9.83421175e+01],\n",
       "        [3.03721438e+01, 7.94616273e+01],\n",
       "        [2.78020930e+01, 6.90107951e+01],\n",
       "        [1.42881844e+01, 6.90614956e+01],\n",
       "        [1.73468647e+01, 8.34429684e+01],\n",
       "        [1.41262509e+01, 9.16860638e+01],\n",
       "        [4.32868455e+00, 5.41855045e+01],\n",
       "        [1.90595910e+01, 9.46018150e+01],\n",
       "        [1.01602797e+01, 9.63159589e+01],\n",
       "        [1.90359604e+01, 7.89969162e+01],\n",
       "        [1.35776411e+01, 7.30145586e+01],\n",
       "        [1.09515903e+00, 6.36431732e+01],\n",
       "        [1.32098592e+01, 7.83123692e+01],\n",
       "        [1.61122789e+01, 7.29665414e+01],\n",
       "        [7.75983261e+00, 8.99243605e+01],\n",
       "        [2.15795362e+01, 8.36652308e+01],\n",
       "        [2.82274608e+01, 7.37696993e+01],\n",
       "        [7.25048236e+00, 5.01042106e+01],\n",
       "        [2.48093384e+01, 5.64933398e+01],\n",
       "        [3.03414234e+01, 6.84358680e+01],\n",
       "        [1.92145761e+01, 5.60962017e+01],\n",
       "        [9.05388180e+00, 9.11611802e+01],\n",
       "        [1.92260832e+01, 7.35161481e+01],\n",
       "        [2.87778375e+01, 7.10414211e+01],\n",
       "        [2.14667635e+01, 5.92434439e+01],\n",
       "        [1.45593014e+01, 9.26072525e+01],\n",
       "        [1.57168161e+01, 7.48183237e+01],\n",
       "        [1.87700475e+01, 5.42939482e+01],\n",
       "        [1.69678568e+01, 9.11403707e+01],\n",
       "        [2.25801987e+01, 8.07535859e+01],\n",
       "        [2.58900260e+01, 9.14228889e+01],\n",
       "        [2.09691884e+01, 6.82789281e+01],\n",
       "        [1.09715350e+01, 7.76461701e+01],\n",
       "        [3.02500888e-01, 6.10006922e+01],\n",
       "        [1.58659315e+01, 5.49914513e+01],\n",
       "        [1.20744614e+01, 5.44735169e+01],\n",
       "        [6.41516591e+00, 7.52198120e+01],\n",
       "        [1.20009495e+01, 6.89455531e+01],\n",
       "        [9.02461347e+00, 6.47869012e+01],\n",
       "        [2.54567603e+01, 6.64287482e+01],\n",
       "        [2.96228722e+01, 6.28791901e+01],\n",
       "        [8.50189760e+00, 6.89722308e+01],\n",
       "        [2.14665415e+01, 6.28565390e+01],\n",
       "        [1.19442708e+01, 5.64411206e+01],\n",
       "        [2.77386072e+01, 8.65714755e+01],\n",
       "        [2.19554392e+01, 5.89081877e+01],\n",
       "        [1.11910130e+01, 8.37215371e+01],\n",
       "        [5.29597789e+00, 9.85830358e+01],\n",
       "        [1.35724582e+01, 7.12272898e+01],\n",
       "        [2.67677360e+01, 8.46369387e+01],\n",
       "        [1.09870641e+01, 6.71656606e+01],\n",
       "        [1.85350763e+01, 6.51565581e+01],\n",
       "        [1.26098040e+01, 9.95255824e+01],\n",
       "        [1.47347556e+01, 6.19936145e+01],\n",
       "        [5.48708622e+00, 9.06052232e+01],\n",
       "        [2.21002089e+01, 7.94723828e+01],\n",
       "        [3.04541730e+01, 6.87814488e+01],\n",
       "        [5.89757358e+00, 9.63716384e+01],\n",
       "        [1.99300715e+00, 8.87758781e+01],\n",
       "        [2.84588760e+01, 9.10845314e+01],\n",
       "        [1.48580738e+01, 6.53043582e+01],\n",
       "        [5.38932374e+00, 8.07813516e+01],\n",
       "        [3.20320123e+01, 7.46841358e+01],\n",
       "        [7.78531123e+00, 5.78562158e+01],\n",
       "        [2.04457604e+01, 7.79940252e+01],\n",
       "        [1.96274669e+01, 7.61367076e+01],\n",
       "        [1.74652978e+01, 6.52060279e+01],\n",
       "        [2.14659230e+01, 7.66500852e+01],\n",
       "        [2.57580291e+01, 9.37402392e+01],\n",
       "        [5.91475584e-02, 8.12268341e+01],\n",
       "        [2.57621726e+01, 9.82442246e+01],\n",
       "        [2.42615358e+01, 7.56947616e+01],\n",
       "        [7.13468740e-01, 7.61276121e+01],\n",
       "        [9.68630911e+00, 5.71970297e+01],\n",
       "        [2.34284279e+01, 8.23827082e+01],\n",
       "        [2.55370502e+01, 9.38046793e+01],\n",
       "        [1.99577967e+01, 4.76012423e+01],\n",
       "        [4.53824662e+00, 7.61952468e+01],\n",
       "        [2.71609291e+01, 6.26204729e+01],\n",
       "        [7.20160533e-01, 8.02636115e+01],\n",
       "        [1.50188692e+01, 8.43810366e+01],\n",
       "        [1.45066698e+01, 6.54966399e+01],\n",
       "        [2.32123895e+01, 7.52515480e+01],\n",
       "        [1.37488097e+01, 8.95441204e+01],\n",
       "        [2.50105236e+01, 9.26789582e+01],\n",
       "        [2.29559448e+01, 8.38153116e+01],\n",
       "        [1.85744728e+00, 5.38828998e+01],\n",
       "        [2.96533283e+01, 6.88646270e+01],\n",
       "        [2.57969500e+01, 7.30321271e+01],\n",
       "        [3.55013231e+01, 7.02381677e+01],\n",
       "        [5.27827525e+00, 6.91015255e+01],\n",
       "        [1.29278644e+01, 5.60575860e+01],\n",
       "        [2.70969281e+01, 6.30718297e+01],\n",
       "        [2.69053294e+01, 7.39091325e+01],\n",
       "        [8.34114313e+00, 6.32451171e+01],\n",
       "        [1.43735879e+01, 5.49809926e+01],\n",
       "        [5.18148530e+00, 5.31380429e+01],\n",
       "        [2.27912342e+01, 9.00696287e+01],\n",
       "        [5.59228440e+00, 6.70410451e+01],\n",
       "        [7.60798564e+00, 7.97584142e+01],\n",
       "        [6.75117824e+00, 9.09857604e+01],\n",
       "        [8.73303579e+00, 6.15165085e+01],\n",
       "        [8.79190909e+00, 6.42755817e+01],\n",
       "        [5.17349053e+00, 7.09793499e+01],\n",
       "        [2.36726389e+01, 5.32314088e+01],\n",
       "        [3.12155942e+01, 6.60980679e+01],\n",
       "        [2.27543744e+01, 8.88513265e+01],\n",
       "        [1.51260672e+01, 6.54768055e+01],\n",
       "        [7.43222055e+00, 6.06335342e+01],\n",
       "        [2.72108550e+01, 6.15209475e+01],\n",
       "        [1.17827172e+01, 6.86396403e+01],\n",
       "        [1.82033483e+01, 5.35306614e+01],\n",
       "        [1.70834968e+01, 6.31798753e+01],\n",
       "        [1.58471996e+01, 8.36750339e+01],\n",
       "        [2.06022061e+01, 8.23362984e+01],\n",
       "        [2.00093229e+01, 7.99951136e+01],\n",
       "        [2.91693040e+01, 6.10732995e+01],\n",
       "        [6.25310888e+00, 6.72353615e+01],\n",
       "        [3.06632848e+01, 7.77336497e+01],\n",
       "        [4.02428532e+00, 9.20778926e+01],\n",
       "        [1.26836273e+01, 6.68149500e+01],\n",
       "        [2.03494226e+01, 7.54968496e+01],\n",
       "        [2.65353854e+01, 9.70887361e+01],\n",
       "        [2.71932173e+01, 8.24532793e+01],\n",
       "        [2.98697628e+01, 8.64351376e+01],\n",
       "        [6.20723470e+00, 7.20972046e+01],\n",
       "        [2.40538567e+01, 6.00372276e+01],\n",
       "        [1.71735769e+01, 7.19335493e+01],\n",
       "        [2.08612417e+01, 8.32253128e+01],\n",
       "        [7.68974006e+00, 6.98745243e+01],\n",
       "        [1.70990466e+01, 8.07082133e+01],\n",
       "        [1.03119644e+01, 8.13178461e+01],\n",
       "        [1.40883104e+01, 5.02732897e+01],\n",
       "        [6.26377924e+00, 8.82615450e+01],\n",
       "        [2.60075358e+01, 5.47307379e+01],\n",
       "        [1.93825279e+00, 9.00725280e+01],\n",
       "        [2.19517233e+01, 7.81366787e+01],\n",
       "        [1.69919595e+01, 6.30576395e+01],\n",
       "        [5.91966392e+00, 6.22825099e+01],\n",
       "        [2.36134084e+01, 7.56377316e+01],\n",
       "        [7.93974839e+00, 4.91875487e+01],\n",
       "        [3.88662993e+00, 7.23024592e+01],\n",
       "        [1.30712804e+01, 9.52643808e+01],\n",
       "        [2.09916465e+01, 5.08000014e+01],\n",
       "        [1.29499219e+01, 9.68649336e+01],\n",
       "        [7.47237873e+00, 6.79817889e+01],\n",
       "        [3.07955190e+01, 6.96884720e+01],\n",
       "        [2.05862401e+01, 9.38423544e+01],\n",
       "        [2.04423545e+01, 6.11356907e+01],\n",
       "        [2.79766921e+01, 7.02208522e+01],\n",
       "        [1.10372337e+00, 6.40881787e+01],\n",
       "        [2.40910567e+01, 5.84176531e+01],\n",
       "        [3.01824227e+01, 7.01749678e+01],\n",
       "        [6.78791242e+00, 5.29961427e+01],\n",
       "        [1.17499946e+00, 5.64350498e+01],\n",
       "        [2.01232466e+01, 8.51367740e+01]]),\n",
       " 5: array([[78.36598544, 76.89713402],\n",
       "        [97.72010218, 78.63652642],\n",
       "        [81.63175772, 63.40180084],\n",
       "        [94.50050673, 74.40143089],\n",
       "        [87.58794037, 94.84457812],\n",
       "        [99.00668068, 75.56349471],\n",
       "        [80.75999694, 75.35126035],\n",
       "        [98.01570604, 65.78155475],\n",
       "        [89.40081797, 85.64723821],\n",
       "        [74.75355724, 77.1973935 ],\n",
       "        [69.86669446, 70.43740906],\n",
       "        [81.35137094, 92.22900695],\n",
       "        [94.44391398, 76.67938938],\n",
       "        [96.57057235, 60.45864351],\n",
       "        [95.44709233, 62.68294183],\n",
       "        [91.8645496 , 70.98007565],\n",
       "        [95.29952299, 91.08490876],\n",
       "        [71.82070668, 70.44874961],\n",
       "        [93.99487608, 71.46490044],\n",
       "        [84.05708016, 62.00850258],\n",
       "        [86.21180136, 61.81524996],\n",
       "        [75.9987849 , 73.3929965 ],\n",
       "        [90.34107712, 77.31803979],\n",
       "        [95.57738562, 96.35662598],\n",
       "        [99.90421302, 95.43882007],\n",
       "        [86.58494844, 65.95229917],\n",
       "        [73.32369888, 61.2224987 ],\n",
       "        [77.47189843, 99.92171755],\n",
       "        [98.18231549, 99.01338255],\n",
       "        [99.28212408, 96.48161884],\n",
       "        [94.89601617, 70.46360821],\n",
       "        [99.46125161, 69.63884616],\n",
       "        [89.86398352, 96.09784101],\n",
       "        [93.12498627, 61.8820681 ],\n",
       "        [86.69586221, 78.01507205],\n",
       "        [88.40918896, 90.58535188],\n",
       "        [95.47478235, 93.571182  ],\n",
       "        [84.62962338, 90.22596703],\n",
       "        [75.68515843, 71.41265103],\n",
       "        [91.88088614, 67.08894417],\n",
       "        [85.36235299, 63.21926998],\n",
       "        [82.90848408, 78.71738339],\n",
       "        [98.55952358, 77.8784856 ],\n",
       "        [82.6430818 , 81.83426779],\n",
       "        [77.69629563, 79.57376189],\n",
       "        [95.65319315, 91.45670679],\n",
       "        [72.33779654, 74.67513387],\n",
       "        [94.29015999, 82.4753252 ],\n",
       "        [92.53298715, 81.3799352 ],\n",
       "        [69.13023939, 83.68287648],\n",
       "        [87.48496816, 65.88598477],\n",
       "        [75.35972914, 85.70001063],\n",
       "        [99.01220321, 86.59664026],\n",
       "        [97.13317481, 88.49633808],\n",
       "        [69.74688735, 70.39956833],\n",
       "        [92.10248565, 62.61333968],\n",
       "        [97.18581164, 63.2935087 ],\n",
       "        [79.55745832, 78.10883178],\n",
       "        [71.77655755, 82.41510101],\n",
       "        [84.78183463, 68.80537913],\n",
       "        [81.49961655, 73.45904189],\n",
       "        [95.65146915, 69.98891776],\n",
       "        [99.30573404, 78.74586031],\n",
       "        [83.14663238, 60.60204756],\n",
       "        [66.37474013, 66.15162906],\n",
       "        [95.05797914, 80.08204734],\n",
       "        [96.74851979, 68.30114743],\n",
       "        [89.44114953, 82.08338611],\n",
       "        [98.15653335, 68.1806473 ],\n",
       "        [90.72421952, 62.82328256],\n",
       "        [82.36912733, 64.7868093 ],\n",
       "        [98.62409691, 84.84893553],\n",
       "        [86.71704003, 77.36294465],\n",
       "        [81.02347344, 82.48784046],\n",
       "        [70.62861576, 87.57417198],\n",
       "        [73.79608165, 81.34466308],\n",
       "        [99.99222383, 93.96788173],\n",
       "        [91.02647948, 63.05355261],\n",
       "        [70.65813958, 79.97428786],\n",
       "        [93.53686779, 68.13397493],\n",
       "        [69.1906227 , 80.54636263],\n",
       "        [70.17095526, 93.02459232],\n",
       "        [96.06881714, 97.91966492],\n",
       "        [70.25526894, 81.03999936],\n",
       "        [83.18406995, 73.23508221],\n",
       "        [99.83850936, 97.17781856],\n",
       "        [95.24772562, 76.42222852],\n",
       "        [70.30096831, 82.72247563],\n",
       "        [77.87032907, 92.79034014],\n",
       "        [79.9083197 , 96.60748985],\n",
       "        [80.80131803, 63.6244991 ],\n",
       "        [91.6905386 , 71.00889824],\n",
       "        [82.43339187, 74.02043555],\n",
       "        [88.86035592, 82.1224219 ],\n",
       "        [86.35116295, 91.17227704],\n",
       "        [98.59987992, 96.19702794],\n",
       "        [75.45998171, 71.88049576],\n",
       "        [92.41122093, 92.80867793],\n",
       "        [76.99548626, 74.93006646],\n",
       "        [99.26177546, 75.32272249],\n",
       "        [97.13640404, 64.91134834],\n",
       "        [87.52409124, 97.39150815],\n",
       "        [92.64145235, 63.19195023],\n",
       "        [87.76757482, 64.96279422],\n",
       "        [68.68493251, 63.96722174],\n",
       "        [93.30792135, 98.76011218],\n",
       "        [92.81758126, 86.57941089],\n",
       "        [97.98790722, 89.90437845],\n",
       "        [99.88417101, 94.65494083],\n",
       "        [94.17774291, 99.48642782],\n",
       "        [91.73873306, 84.59743649],\n",
       "        [77.99202899, 85.8632726 ],\n",
       "        [76.18918838, 76.19394757],\n",
       "        [74.88796478, 63.94415657],\n",
       "        [96.04549232, 76.7673161 ],\n",
       "        [75.29563324, 68.13855634],\n",
       "        [99.84075894, 73.27966081],\n",
       "        [74.26733206, 88.40964506],\n",
       "        [94.44076688, 73.87727575],\n",
       "        [91.91381071, 70.18370283],\n",
       "        [85.27307416, 68.44999872],\n",
       "        [86.6022321 , 98.83621938],\n",
       "        [94.32782186, 98.28123219],\n",
       "        [84.93566534, 85.57008515],\n",
       "        [75.99071124, 75.01627737],\n",
       "        [66.1054405 , 68.06358703],\n",
       "        [88.90415974, 64.73341509],\n",
       "        [98.17281921, 71.88455772],\n",
       "        [97.60569119, 67.68250395],\n",
       "        [77.37260968, 69.68259333],\n",
       "        [74.34759047, 95.27738031],\n",
       "        [98.36278937, 74.22527367],\n",
       "        [80.28681903, 94.64319025],\n",
       "        [66.51116235, 68.09515745],\n",
       "        [86.56896362, 80.87902626],\n",
       "        [72.9720276 , 79.22593434],\n",
       "        [96.11028849, 63.38839017],\n",
       "        [94.39153377, 91.08368891],\n",
       "        [85.40108988, 82.76077296],\n",
       "        [84.70043199, 67.56384843],\n",
       "        [87.14759452, 79.40450388],\n",
       "        [96.77282585, 68.1260779 ],\n",
       "        [81.96981179, 87.12088109],\n",
       "        [84.94145162, 75.76471392],\n",
       "        [80.91332266, 80.160669  ],\n",
       "        [85.76701936, 76.6268854 ],\n",
       "        [89.37309205, 72.08381372],\n",
       "        [83.90042998, 68.94072237],\n",
       "        [94.53820951, 72.82209495],\n",
       "        [93.25191771, 64.06805698],\n",
       "        [79.64016224, 95.53166224],\n",
       "        [99.26030382, 61.44158084],\n",
       "        [91.99382538, 63.10428266],\n",
       "        [74.88200718, 81.5835582 ],\n",
       "        [72.38987968, 81.55739408],\n",
       "        [75.6445487 , 85.22012841],\n",
       "        [74.76026536, 71.66914299],\n",
       "        [99.06948608, 72.89707285],\n",
       "        [79.04297089, 86.17295913],\n",
       "        [93.11495346, 64.01454719],\n",
       "        [99.13860353, 85.47800357],\n",
       "        [96.68955574, 71.01205419],\n",
       "        [69.48159714, 86.89305076],\n",
       "        [83.92867196, 93.85993565],\n",
       "        [99.08756059, 66.84096089],\n",
       "        [71.07942947, 85.55714575],\n",
       "        [96.85197086, 59.5147664 ],\n",
       "        [98.04428445, 66.93517196],\n",
       "        [93.02391075, 95.58332518],\n",
       "        [83.88194617, 67.85071537],\n",
       "        [89.49063188, 72.25994372],\n",
       "        [83.36614794, 79.67469042],\n",
       "        [93.95789313, 91.33380786],\n",
       "        [73.12620854, 99.01583276],\n",
       "        [85.18462949, 72.75880112],\n",
       "        [99.58853524, 71.92694759],\n",
       "        [73.39707037, 77.67483548],\n",
       "        [84.50072433, 82.43761861],\n",
       "        [96.40314011, 73.7718807 ],\n",
       "        [78.89174771, 76.18547309],\n",
       "        [89.58577553, 97.62534495],\n",
       "        [76.56982952, 71.11184591],\n",
       "        [72.28749632, 96.30663618],\n",
       "        [99.75796296, 70.27195601],\n",
       "        [71.23261679, 84.79289946],\n",
       "        [80.39942617, 62.60074373],\n",
       "        [91.54743261, 92.14992239],\n",
       "        [86.45708611, 70.29863264],\n",
       "        [92.65316509, 69.46348503],\n",
       "        [96.96725802, 76.66987417],\n",
       "        [84.03943087, 93.91884078],\n",
       "        [85.97689307, 93.81733882],\n",
       "        [98.5840627 , 64.37810816],\n",
       "        [99.66307288, 86.60679799],\n",
       "        [94.49978919, 69.46763806],\n",
       "        [90.87736433, 69.87749832],\n",
       "        [72.49619677, 65.01199167],\n",
       "        [88.10351891, 81.70461963],\n",
       "        [75.51022906, 77.58669689],\n",
       "        [88.26393691, 73.5765075 ],\n",
       "        [80.19195515, 70.4166102 ],\n",
       "        [97.38501148, 68.31468116],\n",
       "        [75.09985628, 76.42875949],\n",
       "        [72.18702598, 69.49373343],\n",
       "        [91.34071167, 81.64933894],\n",
       "        [92.99676656, 89.21359579],\n",
       "        [74.35175285, 77.27953325],\n",
       "        [97.93098169, 69.53156997],\n",
       "        [84.39559266, 69.54751027],\n",
       "        [73.26724386, 65.65873938],\n",
       "        [86.12705789, 89.47544704],\n",
       "        [99.36879741, 89.21467677],\n",
       "        [87.14527159, 80.36905888],\n",
       "        [82.03477466, 92.07241954],\n",
       "        [81.47088071, 90.0749338 ],\n",
       "        [76.8886886 , 86.46338613],\n",
       "        [72.73390275, 79.65235012],\n",
       "        [71.96639363, 93.91731509],\n",
       "        [78.96881987, 73.47586851],\n",
       "        [91.35700124, 99.5692799 ],\n",
       "        [80.93811999, 78.64857352],\n",
       "        [99.5544607 , 88.97146328],\n",
       "        [83.31530309, 61.38612732],\n",
       "        [84.72460822, 60.79025728],\n",
       "        [88.13321596, 80.84545533],\n",
       "        [76.6206723 , 93.51844755],\n",
       "        [99.94540013, 96.83618401],\n",
       "        [90.31864245, 71.97010621],\n",
       "        [98.20102188, 74.2260134 ],\n",
       "        [81.81707562, 78.50041657],\n",
       "        [97.01288234, 74.01695488],\n",
       "        [79.95202454, 63.33032454],\n",
       "        [74.97285346, 97.71873779],\n",
       "        [70.56754101, 74.78375799],\n",
       "        [81.6130652 , 61.44699658],\n",
       "        [71.57320163, 73.19224747],\n",
       "        [86.29017329, 72.24017384],\n",
       "        [75.08988501, 61.79138675],\n",
       "        [66.45955688, 63.9452558 ],\n",
       "        [88.56412395, 65.90480094],\n",
       "        [90.93741482, 63.38080107],\n",
       "        [94.61021226, 83.81995145],\n",
       "        [94.24439861, 71.80701895],\n",
       "        [77.19372593, 91.71415185],\n",
       "        [97.77280481, 92.99340927],\n",
       "        [85.99027469, 69.67685403],\n",
       "        [86.3968059 , 67.59742549],\n",
       "        [66.63934034, 69.62128165],\n",
       "        [97.58937734, 87.95603017],\n",
       "        [69.2434819 , 83.1455638 ],\n",
       "        [88.11424831, 84.89659929],\n",
       "        [74.84125474, 63.35681902],\n",
       "        [72.12637423, 63.40182163]]),\n",
       " 6: array([[57.12858826, 94.17134485],\n",
       "        [31.88191656, 96.76649512],\n",
       "        [30.23775201, 99.45716004],\n",
       "        [60.29424212, 74.93882817],\n",
       "        [37.50066816, 85.12775353],\n",
       "        [54.56284589, 87.05857751],\n",
       "        [64.16078374, 81.66312338],\n",
       "        [47.71497677, 81.39742169],\n",
       "        [43.10079536, 77.18536692],\n",
       "        [46.7084479 , 74.94530069],\n",
       "        [56.54829155, 86.99630131],\n",
       "        [60.19731284, 77.39531834],\n",
       "        [31.28866997, 85.0834936 ],\n",
       "        [47.36652991, 84.65212164],\n",
       "        [34.36252618, 75.52297559],\n",
       "        [40.59512474, 75.61144999],\n",
       "        [68.15869137, 83.29030215],\n",
       "        [59.96811359, 79.41538192],\n",
       "        [33.05775492, 79.28619124],\n",
       "        [46.32681217, 91.98305835],\n",
       "        [61.45149254, 65.46470582],\n",
       "        [51.51645826, 81.22565408],\n",
       "        [41.84830633, 98.83516753],\n",
       "        [46.65090026, 65.85493789],\n",
       "        [41.73214459, 95.04089262],\n",
       "        [63.78199001, 79.28028026],\n",
       "        [49.78161812, 78.03230524],\n",
       "        [41.52131507, 90.93517087],\n",
       "        [39.68515002, 85.2182671 ],\n",
       "        [57.46877943, 95.99608082],\n",
       "        [44.85929928, 96.63119413],\n",
       "        [31.57569687, 83.21403676],\n",
       "        [34.38492072, 74.58890127],\n",
       "        [37.68798204, 66.25894473],\n",
       "        [43.09506979, 81.11697573],\n",
       "        [35.19010195, 81.89640271],\n",
       "        [53.15749402, 76.98809849],\n",
       "        [36.43244722, 69.75484414],\n",
       "        [65.47159768, 83.161701  ],\n",
       "        [63.25545767, 82.26271611],\n",
       "        [34.89036124, 88.64551331],\n",
       "        [41.29920916, 68.98514362],\n",
       "        [36.56682538, 68.62658826],\n",
       "        [39.07119698, 74.23181858],\n",
       "        [59.72063958, 90.25834269],\n",
       "        [45.71090494, 75.03374327],\n",
       "        [55.41359842, 72.77767673],\n",
       "        [36.34806177, 86.79363845],\n",
       "        [42.09379249, 92.65081678],\n",
       "        [36.67864731, 84.10542108],\n",
       "        [66.38386972, 89.18277193],\n",
       "        [56.23758152, 77.58091275],\n",
       "        [59.23357946, 91.6246046 ],\n",
       "        [38.58716362, 81.23620303],\n",
       "        [41.38455261, 85.55199932],\n",
       "        [53.75785682, 87.58047149],\n",
       "        [45.2122835 , 80.20477494],\n",
       "        [36.28423869, 91.1095043 ],\n",
       "        [63.97798291, 83.2851543 ],\n",
       "        [49.74353636, 85.7112034 ],\n",
       "        [52.49035738, 87.67236711],\n",
       "        [35.41009585, 73.9982536 ],\n",
       "        [68.13424715, 92.67387126],\n",
       "        [63.48762761, 88.27269783],\n",
       "        [32.28359537, 87.11331291],\n",
       "        [52.57807262, 71.40215104],\n",
       "        [30.72700695, 96.69624269],\n",
       "        [64.45171519, 96.12055789],\n",
       "        [49.83209524, 98.97551241],\n",
       "        [36.24941217, 86.00538789],\n",
       "        [36.58785241, 92.04120378],\n",
       "        [67.05650601, 94.99348533],\n",
       "        [44.4669129 , 70.60985227],\n",
       "        [65.36824606, 91.68367958],\n",
       "        [65.20567277, 78.97937798],\n",
       "        [51.81737331, 70.94087669],\n",
       "        [54.7663507 , 69.20012957],\n",
       "        [51.08387137, 92.74685383],\n",
       "        [46.9715481 , 76.47340819],\n",
       "        [61.88345305, 90.21528116],\n",
       "        [46.87174523, 64.90010909],\n",
       "        [45.63994022, 99.05165519],\n",
       "        [45.31680955, 67.20942829],\n",
       "        [68.42292569, 89.72492077],\n",
       "        [40.99323857, 85.72075286],\n",
       "        [33.74149151, 89.14512405],\n",
       "        [36.11566281, 74.49612086],\n",
       "        [64.80721904, 98.31590532],\n",
       "        [38.88730727, 84.12789293],\n",
       "        [38.4315562 , 68.8690346 ],\n",
       "        [51.31543296, 77.15277588],\n",
       "        [53.736432  , 69.68927443],\n",
       "        [29.47367933, 92.17874509],\n",
       "        [37.35044409, 74.7455558 ],\n",
       "        [53.92763656, 94.48024899],\n",
       "        [36.48029816, 77.16954636],\n",
       "        [67.81840212, 95.35615686],\n",
       "        [62.93821914, 70.24169957],\n",
       "        [49.60197763, 83.53663049],\n",
       "        [41.41937216, 67.22009078],\n",
       "        [58.42430222, 85.88414521],\n",
       "        [53.34531233, 89.85713474],\n",
       "        [49.10571991, 67.26125878],\n",
       "        [54.77218417, 81.27994153],\n",
       "        [41.41312458, 77.06552461],\n",
       "        [49.13255758, 79.51450109],\n",
       "        [35.06478338, 92.15029966],\n",
       "        [42.52644012, 97.01187747],\n",
       "        [57.30467621, 97.48307842],\n",
       "        [43.46113147, 84.56836289],\n",
       "        [31.94599738, 94.1834165 ],\n",
       "        [35.65387633, 85.80780627],\n",
       "        [51.73450419, 71.7367755 ],\n",
       "        [56.55954554, 89.6490482 ],\n",
       "        [34.05714156, 97.15167393],\n",
       "        [60.06815213, 81.68424409],\n",
       "        [65.05070265, 67.03291214],\n",
       "        [33.94176626, 86.64180095],\n",
       "        [68.16416742, 87.36517182],\n",
       "        [65.94443849, 84.06111862],\n",
       "        [67.57217795, 89.75829838],\n",
       "        [50.12867562, 77.52184165],\n",
       "        [60.71554908, 88.77828887],\n",
       "        [38.699964  , 81.2222479 ],\n",
       "        [41.7295247 , 86.46497323],\n",
       "        [41.44147413, 75.26958912],\n",
       "        [47.81802847, 78.78660503],\n",
       "        [53.39665388, 87.62670309],\n",
       "        [46.73801953, 99.76201039],\n",
       "        [44.9900706 , 95.34309333],\n",
       "        [55.92373003, 72.96940871],\n",
       "        [33.87712874, 90.21706579],\n",
       "        [53.89448557, 88.60313105],\n",
       "        [62.63333196, 94.86287787],\n",
       "        [27.18794815, 99.85615387],\n",
       "        [59.59904817, 68.29748014],\n",
       "        [44.99594899, 77.96814838],\n",
       "        [38.08238484, 92.88540385],\n",
       "        [50.6284792 , 76.08754878],\n",
       "        [59.66355905, 87.07894153],\n",
       "        [46.36519453, 92.0740629 ],\n",
       "        [39.1160229 , 89.62923906],\n",
       "        [45.26614474, 65.0887479 ],\n",
       "        [42.59342248, 66.04768447],\n",
       "        [29.85588782, 92.3859402 ],\n",
       "        [66.56102363, 76.55498091],\n",
       "        [50.0568927 , 79.06960728],\n",
       "        [44.32620599, 94.94572208],\n",
       "        [40.00327505, 82.23227314],\n",
       "        [58.96773488, 78.20562985],\n",
       "        [38.92856797, 84.79486407],\n",
       "        [45.55688406, 75.17697338],\n",
       "        [62.65073009, 69.26790037],\n",
       "        [62.43569474, 84.52967958],\n",
       "        [46.07854389, 95.34245794],\n",
       "        [34.24326823, 91.764117  ],\n",
       "        [42.60585341, 80.56338835],\n",
       "        [67.24709127, 96.05746818],\n",
       "        [49.4676989 , 74.02269644],\n",
       "        [41.89226515, 89.11370833],\n",
       "        [44.31851754, 87.77535121],\n",
       "        [69.17477636, 96.54192834],\n",
       "        [47.26649478, 75.4469102 ],\n",
       "        [33.92226743, 94.91072094],\n",
       "        [61.52926779, 82.26345119],\n",
       "        [61.48871733, 89.29474106],\n",
       "        [31.76950424, 83.4327689 ],\n",
       "        [34.5199212 , 91.64893373],\n",
       "        [55.02180719, 80.23212398],\n",
       "        [59.44342019, 73.73892707],\n",
       "        [41.53698411, 97.69716174],\n",
       "        [54.08994676, 86.29143613],\n",
       "        [56.63668945, 67.37289071],\n",
       "        [30.99160181, 85.56684504],\n",
       "        [50.24718727, 64.73493229],\n",
       "        [39.63243225, 85.28866519],\n",
       "        [35.63647372, 73.74994615],\n",
       "        [57.06418896, 94.7381321 ],\n",
       "        [58.99840312, 65.89238921],\n",
       "        [40.79887566, 76.10698999],\n",
       "        [57.64311859, 98.67695389],\n",
       "        [54.71794419, 92.35442849],\n",
       "        [40.35445762, 91.74857068],\n",
       "        [61.76277551, 94.57952889],\n",
       "        [47.11592273, 93.49551474],\n",
       "        [65.729318  , 75.17806388],\n",
       "        [41.33855349, 87.49505615],\n",
       "        [32.72867846, 98.37331985],\n",
       "        [40.12680831, 79.78523792],\n",
       "        [63.42556656, 79.12853248],\n",
       "        [53.0428574 , 97.66078636],\n",
       "        [55.45042728, 92.92554894],\n",
       "        [37.70399571, 78.76406897],\n",
       "        [55.69354604, 98.660234  ],\n",
       "        [45.90361004, 94.69496024],\n",
       "        [39.01591979, 92.25185929],\n",
       "        [58.5140924 , 83.81732124],\n",
       "        [60.29062312, 89.33023177],\n",
       "        [61.97397082, 89.87437579],\n",
       "        [62.13424179, 73.92034823],\n",
       "        [57.17141917, 72.10771019],\n",
       "        [42.58513486, 68.93859536],\n",
       "        [41.71503185, 99.25805885],\n",
       "        [29.08561254, 95.65999962],\n",
       "        [36.98025475, 92.02050722],\n",
       "        [66.89281733, 90.29280267],\n",
       "        [36.19999223, 80.05147083],\n",
       "        [67.83642855, 88.47781172],\n",
       "        [38.76968077, 77.90616782],\n",
       "        [67.47287283, 90.17264577],\n",
       "        [34.49289722, 95.80789215],\n",
       "        [48.43322049, 76.13005104],\n",
       "        [52.27269959, 87.72374332],\n",
       "        [59.67147582, 71.61244314],\n",
       "        [49.81377545, 82.13570133],\n",
       "        [56.90577688, 77.80580891],\n",
       "        [50.9135083 , 79.83013865],\n",
       "        [65.05142306, 73.13714859],\n",
       "        [34.33678176, 99.48783976],\n",
       "        [37.76236254, 74.65612722],\n",
       "        [43.93794167, 73.44032223],\n",
       "        [57.22971146, 93.62225665],\n",
       "        [52.84727015, 92.57555903],\n",
       "        [49.84153145, 79.50275951],\n",
       "        [37.22632415, 78.04898608],\n",
       "        [50.77673689, 94.60860114],\n",
       "        [55.56965593, 83.12185743],\n",
       "        [56.42172065, 93.68271959],\n",
       "        [52.09561568, 80.31601609],\n",
       "        [70.22921523, 99.3023181 ],\n",
       "        [31.26143836, 98.57913136],\n",
       "        [42.05777923, 75.63870723],\n",
       "        [65.61010322, 90.91616173],\n",
       "        [62.326188  , 76.82164368],\n",
       "        [58.20935106, 80.84173857],\n",
       "        [35.12096391, 88.66448084],\n",
       "        [61.87742697, 73.14440306],\n",
       "        [61.00598067, 99.20188478],\n",
       "        [65.13575376, 89.37867715],\n",
       "        [48.7376515 , 88.35731637],\n",
       "        [59.7441686 , 80.72599421],\n",
       "        [64.76448784, 71.59844606],\n",
       "        [56.86830507, 67.4602744 ],\n",
       "        [37.95344305, 74.32168418],\n",
       "        [33.77008423, 95.76920199],\n",
       "        [49.19983146, 66.82140715],\n",
       "        [61.21727602, 67.91860214],\n",
       "        [50.28331376, 95.94171077],\n",
       "        [59.44038187, 81.67291227],\n",
       "        [48.52475921, 96.94718421],\n",
       "        [33.53553249, 94.99814622],\n",
       "        [52.84151946, 78.70033185],\n",
       "        [49.15696016, 86.0256947 ],\n",
       "        [55.73348961, 92.61972219],\n",
       "        [60.61039268, 78.53948459],\n",
       "        [46.56927626, 88.41153535],\n",
       "        [43.76794655, 77.10856347],\n",
       "        [44.2975631 , 77.3370134 ],\n",
       "        [59.87408997, 74.73885136],\n",
       "        [58.03876344, 71.63679464],\n",
       "        [65.90954788, 85.64212482],\n",
       "        [44.66010365, 73.81549256],\n",
       "        [66.01067318, 89.10271052],\n",
       "        [42.27347251, 69.9538701 ],\n",
       "        [46.56982134, 72.7533018 ],\n",
       "        [59.71771113, 64.40630017],\n",
       "        [44.35684596, 98.68693034],\n",
       "        [55.17591914, 79.34664118],\n",
       "        [37.79086166, 83.15601777],\n",
       "        [68.28717931, 91.49716991],\n",
       "        [61.50272765, 81.11956027],\n",
       "        [69.08109168, 91.56670316],\n",
       "        [52.98317722, 82.18967884],\n",
       "        [45.33356739, 96.12570676],\n",
       "        [53.36190283, 78.40038299],\n",
       "        [38.60943225, 71.02421863],\n",
       "        [43.10585317, 70.91614102],\n",
       "        [55.6981726 , 83.64236943],\n",
       "        [58.4951738 , 72.46511879],\n",
       "        [63.91957968, 93.12044069],\n",
       "        [52.47658205, 86.05500446],\n",
       "        [42.7348509 , 79.49219919],\n",
       "        [56.18609853, 76.4319412 ],\n",
       "        [48.85865846, 79.97561479],\n",
       "        [65.16349068, 85.76705909],\n",
       "        [62.18015823, 95.06690902],\n",
       "        [70.70849798, 99.85183136],\n",
       "        [50.73136071, 85.07263945]])}"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "listed_by_groups"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}