5_rnn.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
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   "source": [
    "# Recurrent Neural Network (RNN)\n",
    "In the following we will implement and train an RNN for text classification. The following example will use the ATIS database. The ATIS database consists of data obtained from the Official Airline Guide (OAG, 1990), organized under a relational schema. The database remained fixed throughout the pilot phase. It contains information about flights, fares, airlines, cities, airports, and ground services, and includes twenty-five supporting tables. The large majority of the questions posed by subjects can be answered from the database with a single relational query.\n",
    "\n",
    "For more information about RNN check out the following resources:\n",
    "\n",
    "[RNN with Theano](http://deeplearning.net/tutorial/rnnslu.html)\n",
    "\n",
    "[Nice blog about RNN](http://karpathy.github.io/2015/05/21/rnn-effectiveness/)\n",
    "\n",
    "[Amazing Stanford lecture about NLP (natural language processing)][http://cs224d.stanford.edu/]\n",
    "\n",
    "For advanced text processing:\n",
    "\n",
    "[Long-Short-Term-Memory (LSTM) a RNN variant](http://deeplearning.net/tutorial/lstm.html)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import theano, numpy\n",
    "from theano import tensor as T\n",
    "import os\n",
    "import pickle\n",
    "import copy\n",
    "import sys\n",
    "import gzip\n",
    "import urllib\n",
    "import random\n",
    "import stat\n",
    "import subprocess\n",
    "import sys\n",
    "import timeit\n",
    "from sklearn.neighbors import NearestNeighbors\n",
    "import numpy as np\n",
    "from collections import OrderedDict\n",
    "from sklearn.neighbors import NearestNeighbors\n",
    "import numpy as np\n",
    "sys.setrecursionlimit(1500)\n",
    "\n",
    "# get home directory\n",
    "from os.path import expanduser\n",
    "PREFIX = expanduser(\"~\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Helper functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def download(origin, destination):\n",
    "    '''\n",
    "    download the corresponding atis file\n",
    "    from http://www-etud.iro.umontreal.ca/~mesnilgr/atis/\n",
    "    '''\n",
    "    print ('Downloading data from %s' % origin)\n",
    "    urllib.urlretrieve(origin, destination)\n",
    "\n",
    "\n",
    "# data loading functions\n",
    "def atisfold(fold):\n",
    "    assert fold in range(5)\n",
    "    filename = os.path.join(PREFIX, 'ml-bootcamp/atis/atis.fold'+str(fold)+'.pkl.gz')\n",
    "    print(filename)\n",
    "    f = gzip.open(filename, 'rb')\n",
    "    train_set, valid_set, test_set, dicts = pickle.load(f,encoding='latin1')\n",
    "    return train_set, valid_set, test_set, dicts\n",
    "def shuffle(lol, seed):\n",
    "    '''\n",
    "    lol :: list of list as input\n",
    "    seed :: seed the shuffling\n",
    "\n",
    "    shuffle inplace each list in the same order\n",
    "    '''\n",
    "    for l in lol:\n",
    "        random.seed(seed)\n",
    "        random.shuffle(l)\n",
    "\n",
    "def contextwin(l, win):\n",
    "    '''\n",
    "    win :: int corresponding to the size of the window\n",
    "    given a list of indexes composing a sentence\n",
    "\n",
    "    l :: array containing the word indexes\n",
    "\n",
    "    it will return a list of list of indexes corresponding\n",
    "    to context windows surrounding each word in the sentence\n",
    "    '''\n",
    "    assert (win % 2) == 1\n",
    "    assert win >= 1\n",
    "    l = list(l)\n",
    "\n",
    "    lpadded = win // 2 * [-1] + l + win // 2 * [-1]\n",
    "    out = [lpadded[i:(i + win)] for i in range(len(l))]\n",
    "\n",
    "    assert len(out) == len(l)\n",
    "    return out\n",
    "def conlleval(p, g, w, filename):\n",
    "    '''\n",
    "    INPUT:\n",
    "    p :: predictions\n",
    "    g :: groundtruth\n",
    "    w :: corresponding words\n",
    "    OUTPUT:\n",
    "    filename :: name of the file where the predictions\n",
    "    are written. it will be the input of conlleval.pl script\n",
    "    for computing the performance in terms of precision\n",
    "    recall and f1 score\n",
    "    '''\n",
    "    out = ''\n",
    "    for sl, sp, sw in zip(g, p, w):\n",
    "        out += 'BOS O O\\n'\n",
    "        for wl, wp, w in zip(sl, sp, sw):\n",
    "            out += w + ' ' + wl + ' ' + wp + '\\n'\n",
    "        out += 'EOS O O\\n\\n'\n",
    "\n",
    "    f = open(filename,'w')\n",
    "    f.writelines(out)\n",
    "    f.close()\n",
    "    \n",
    "    return get_perf(filename)\n",
    "\n",
    "def get_perf(filename):\n",
    "    ''' run conlleval.pl perl script to obtain\n",
    "    precision/recall and F1 score '''\n",
    "    _conlleval = os.path.join(PREFIX, 'ml-bootcamp/conlleval.pl')\n",
    "    if not os.path.isfile(_conlleval):\n",
    "        #download('http://www-etud.iro.umontreal.ca/~mesnilgr/atis/conlleval.pl') \n",
    "        os.system('wget https://www.comp.nus.edu.sg/%7Ekanmy/courses/practicalNLP_2008/packages/conlleval.pl')\n",
    "        os.chmod('conlleval.pl', stat.S_IRWXU) # give the execute permissions\n",
    "\n",
    "    proc = subprocess.Popen([\"perl\", _conlleval], stdin=subprocess.PIPE, stdout=subprocess.PIPE)\n",
    "    stdout, _ = proc.communicate(open(filename).read().encode('utf-8'))\n",
    "\n",
    "    for line in stdout.decode().split('\\n'):\n",
    "        if 'accuracy' in line:\n",
    "            out = line.split()\n",
    "            break\n",
    "    \n",
    "    # out = ['accuracy:', '16.26%;', 'precision:', '0.00%;', 'recall:', '0.00%;', 'FB1:', '0.00']\n",
    "    \n",
    "    precision = float(out[3][:-2])\n",
    "    recall    = float(out[5][:-2])\n",
    "    f1score   = float(out[7])\n",
    "\n",
    "    return {'p':precision, 'r':recall, 'f1':f1score}\n",
    "\n",
    "def get_perfo(filename):\n",
    "    ''' \n",
    "    work around for using a PERL script in python\n",
    "    dirty but still works.\n",
    "    '''\n",
    "    tempfile = str(random.randint(1,numpy.iinfo('i').max)) + '.txt'\n",
    "    if not isfile(PREFIX + 'conlleval.pl'):\n",
    "        os.system('wget https://www.comp.nus.edu.sg/%7Ekanmy/courses/practicalNLP_2008/packages/conlleval.pl')\n",
    "        #download('http://www-etud.iro.umontreal.ca/~mesnilgr/atis/conlleval.pl') \n",
    "        chmod('conlleval.pl', stat.S_IRWXU) # give the execute permissions\n",
    "    if len(PREFIX) > 0:\n",
    "        chmod(PREFIX + 'conlleval.pl', stat.S_IRWXU) # give the execute permissions\n",
    "        cmd = PREFIX + 'conlleval.pl < %s | grep accuracy > %s'%(filename,tempfile)\n",
    "    else:\n",
    "        cmd = './conlleval.pl < %s | grep accuracy > %s'%(filename,tempfile)\n",
    "    print (cmd)\n",
    "    out = os.system(cmd)\n",
    "    out = open(tempfile).readlines()[0].split()\n",
    "    os.system('rm %s'%tempfile)\n",
    "    precision = float(out[6][:-2])\n",
    "    recall    = float(out[8][:-2])\n",
    "    f1score   = float(out[10])\n",
    "    return {'p':precision, 'r':recall, 'f1':f1score}\n",
    "\n",
    "def arraysentence2string(arr):\n",
    "    return \" \".join([idx2word[x] for x in arr if x > 0])\n",
    "\n",
    "def arraylabels2string(arr):\n",
    "    return \" \".join([idx2label[x] for x in arr if x > 0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "/home/i311008/ml-bootcamp/atis/atis.fold0.pkl.gz\n",
      "Dictionary size: 572\n",
      "Number of class labels: 127\n"
     ]
    }
   ],
   "source": [
    "# load the dataset\n",
    "train_set, valid_set, test_set, dic = atisfold(0)\n",
    "import six\n",
    "\n",
    "idx2label = dict((k, v) for v, k in six.iteritems(dic['labels2idx']))\n",
    "idx2word = dict((k, v) for v, k in six.iteritems(dic['words2idx']))\n",
    "\n",
    "train_lex, train_ne, train_y = train_set\n",
    "valid_lex, valid_ne, valid_y = valid_set\n",
    "test_lex, test_ne, test_y = test_set\n",
    "\n",
    "vocsize = len(dic['words2idx'])\n",
    "print (\"Dictionary size: \"+str(vocsize))\n",
    "nclasses = len(dic['labels2idx'])\n",
    "print (\"Number of class labels: \"+str(nclasses))\n",
    "nsentences = len(train_lex)\n",
    "\n",
    "groundtruth_valid = list(list(map(lambda x: idx2label[x], y)) for y in valid_y)\n",
    "words_valid = list(list(map(lambda x: idx2word[x], w)) for w in valid_lex)\n",
    "groundtruth_test = list(list(map(lambda x: idx2label[x], y)) for y in test_y)\n",
    "words_test = list(list(map(lambda x: idx2word[x], w)) for w in test_lex)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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      "       384, 358, 546], dtype=int32), array([383, 189, 301,  13, 193,  73,  77,  40, 376, 480,  59, 234, 376,\n",
      "       108, 502,   8, 384], dtype=int32), array([157,  37,  26, 196, 208,  77, 502, 415, 205], dtype=int32), array([276,  32, 194, 208, 282,  71, 502, 114, 358, 463], dtype=int32), array([554, 241, 481, 182, 215, 208,  77, 502, 128, 201, 564, 359, 544,\n",
      "       358, 345, 435], dtype=int32), array([439, 301, 481,  99, 183, 208, 415, 147, 502, 307, 359, 544], dtype=int32), array([212, 301, 481, 194, 208, 332, 569, 104, 502, 260, 539, 358, 463,\n",
      "        40, 481, 194, 208, 306, 502, 260, 539, 358, 463], dtype=int32), array([276,  32, 481, 469,  40, 259,  62, 209, 316, 239], dtype=int32), array([ 50, 484,  43, 194, 208,  64, 502, 137], dtype=int32), array([383, 212, 301, 217, 512, 237, 200, 137], dtype=int32), array([463,   4, 194,  73, 471,  40,  97], dtype=int32), array([439, 301, 481, 359, 544, 193, 208, 145, 502, 553, 124, 561, 481,\n",
      "       227, 182], dtype=int32), array([554, 382,  50, 534,  86, 521], dtype=int32), array([232,   0, 273, 502, 189,  13, 193, 208, 307, 195, 502, 260, 539,\n",
      "         7, 480, 565,  58,  72,   8, 384, 358, 463], dtype=int32), array([554, 253, 353, 217, 512, 241,  66, 234, 128, 201, 564], dtype=int32), array([217, 512, 234, 351], dtype=int32), array([190, 105, 183, 208, 128, 502,  69, 383], dtype=int32), array([ 89, 232, 425, 217, 512, 208, 282,  71,  29, 502, 159], dtype=int32), array([554, 386, 241,  13, 275, 430, 234,  77], dtype=int32), array([383, 276, 481, 194, 208, 128, 201, 564, 502,  77, 358, 248, 524, 487], dtype=int32), array([439, 301, 481, 194, 208, 351, 502, 137], dtype=int32), array([241, 484,  13, 193, 139, 208, 415, 205,  40,  60, 234, 351, 358,\n",
      "       345, 435, 234, 481, 174], dtype=int32), array([157, 311, 178, 427,  69], dtype=int32), array([554,  50, 481, 174, 194, 197, 369, 353, 128,  40, 215, 502, 415,\n",
      "       205, 358,  37,  26], dtype=int32), array([ 30, 234, 332, 569], dtype=int32), array([376, 502, 415, 205, 334, 548, 518, 439, 481, 194], dtype=int32), array([276,  32, 194, 208, 100, 502, 423, 358, 120,  26, 557, 138, 358,\n",
      "       416,  72, 341,  40, 235,  13, 302], dtype=int32), array([135,  25, 528], dtype=int32), array([232, 331,  13, 193, 208, 379, 502,  77, 358, 546, 481, 203], dtype=int32), array([439, 301, 481, 194, 208,  77, 502, 379, 358, 547,  40, 497], dtype=int32), array([554,   4, 481,  99, 193, 208, 379, 502, 415, 205, 358, 206], dtype=int32), array([193, 237, 208, 351, 502, 137], dtype=int32), array([439, 301,  37, 194, 208, 128, 502, 415, 205], dtype=int32), array([232,   0, 273,  13, 276, 353, 481, 194, 208, 351, 502, 128, 201,\n",
      "       564, 358, 463], dtype=int32), array([554, 194, 268, 376, 200, 128,  40, 138,  72, 341, 358,  37,  26], dtype=int32), array([189,  13, 339, 193,  73, 137,  40, 351, 270, 234, 481,  20,  40,\n",
      "        60, 330,   8, 384], dtype=int32), array([439, 463, 194, 208, 423, 502, 100], dtype=int32), array([439, 301, 481, 194, 208, 415, 147, 502, 333, 332, 245], dtype=int32), array([439, 301,  32, 387, 353, 190, 105, 208,  69, 502, 128], dtype=int32), array([439, 301, 481, 194, 208, 379, 502, 376], dtype=int32), array([554,  50, 481, 194, 208, 379, 502, 351], dtype=int32), array([358, 481,   8,  35, 193, 208, 415, 205, 502,  64, 554, 526, 353,\n",
      "        23, 241, 534], dtype=int32), array([ 64, 217, 512], dtype=int32), array([194, 208, 260, 539, 502, 378], dtype=int32), array([ 89, 232, 211, 208, 128, 502, 415, 205, 270, 234, 481, 321,  40,\n",
      "        60, 234, 481, 321], dtype=int32), array([554,  50, 481, 194,  66, 234, 481, 321,  73, 137,  40, 415, 205], dtype=int32), array([554, 241, 481, 168, 494, 182, 208,  77, 502, 543], dtype=int32), array([554, 241, 481,  99, 182, 232,  89, 211, 208, 128, 502, 137], dtype=int32), array([357, 272,   4, 425, 156, 570, 221,  13, 193, 358, 136,  25, 208,\n",
      "        64, 502,  77], dtype=int32), array([ 89, 232, 211,  13, 472, 208, 282,  71,  29, 502, 159, 282,  71], dtype=int32), array([554, 241, 481, 217, 512,  66, 234, 201, 564], dtype=int32), array([439, 301, 194, 208, 137, 502,  64], dtype=int32), array([232,   0, 273, 502, 196, 208, 107, 502, 236, 504, 321,  61, 166,\n",
      "        61, 385, 554,   4,  66], dtype=int32), array([439, 301,  32, 194, 208, 376, 502, 415, 205, 561, 359, 458, 234, 128], dtype=int32), array([554, 157, 364, 304], dtype=int32), array([  7, 531, 194, 208, 312, 502, 367, 358, 546, 335, 363, 496, 321], dtype=int32), array([232, 565, 273,  13, 193, 208, 415, 205, 502, 379, 358, 206, 321,\n",
      "        19,   9, 350], dtype=int32), array([439, 301,  32, 329, 194, 208, 506], dtype=int32), array([232, 565, 273, 502, 196, 208,  64, 502,  77,  60, 234,  77,  62,\n",
      "         8, 384], dtype=int32), array([554, 136, 194,  50,  66, 502, 196, 208, 376, 502,  77], dtype=int32), array([241, 484, 217, 512, 234, 452, 286], dtype=int32), array([439,  32, 530, 194,  73,  77,  40, 376], dtype=int32), array([212, 301,  13, 193,  73,  77,  40, 137], dtype=int32), array([439, 301, 481, 339, 194, 208, 128, 502, 229], dtype=int32), array([557,  26, 196,  73,  77,  40, 376], dtype=int32), array([554, 217, 512, 241,  66, 234, 137], dtype=int32), array([439, 301, 481, 120, 194, 270, 100, 166, 416, 321], dtype=int32), array([554, 241, 481, 267, 176, 193, 208,  69, 502, 415, 205], dtype=int32), array([554,  50, 481, 265, 194, 208,  77, 502, 128, 358, 481, 174, 353,\n",
      "       248, 435], dtype=int32), array([232, 565, 273, 502, 293,  13, 359, 544, 193, 208,  77, 502,  64], dtype=int32), array([554, 157, 175, 304], dtype=int32), array([439, 301, 194, 208, 137, 502, 376], dtype=int32), array([232, 565, 273,  39, 166, 193, 208, 255, 502,  97, 317, 321], dtype=int32), array([439, 301,  32, 194, 480, 213, 208, 332, 569, 502, 307, 358, 518,\n",
      "        40, 213, 208, 307, 502, 332, 569, 358, 463], dtype=int32), array([554,  23, 241, 109,  11], dtype=int32), array([554,   4, 481, 288, 410, 515, 182, 208, 137, 502,  64], dtype=int32), array([554, 241, 481, 165, 193, 570, 221, 480, 269, 376, 502, 128], dtype=int32), array([189, 301, 481,  99, 359, 544, 182, 232,  89, 211, 208,  77, 502, 137], dtype=int32), array([554, 241, 481, 190, 193,  60, 234, 319, 208, 506, 206], dtype=int32), array([439, 301, 481, 194, 358, 463, 208, 471, 502,  97], dtype=int32), array([157, 136,  25, 196, 208, 137, 502, 379], dtype=int32), array([193, 559,   7, 208,  77], dtype=int32), array([217, 512, 415, 205], dtype=int32), array([383, 276, 194, 208,  64, 502, 377], dtype=int32), array([554, 103,  50, 428,  86,  91,  26, 239], dtype=int32), array([554, 241, 481, 182, 208,  77, 502, 351, 358, 530,  26], dtype=int32), array([439, 301, 194, 270, 208, 415, 205, 502, 137, 358, 426, 489], dtype=int32), array([554, 194, 208, 100, 502, 137, 234, 481, 321], dtype=int32), array([439, 301, 481, 194, 208, 415, 147, 502, 415, 205, 358, 451,  26], dtype=int32), array([241, 484,  39,  29, 275,  62, 481,  64,  29], dtype=int32), array([ 25,  40, 193, 347, 208, 114, 502, 313], dtype=int32), array([554, 194, 213, 208,  77, 502,  64, 334, 518], dtype=int32), array([439, 301,  32, 481, 194, 502,  69,  19,   8, 350, 384], dtype=int32), array([ 20, 193, 208, 137, 502, 415, 205], dtype=int32), array([557, 530, 194, 208,  77, 502, 415, 205, 293, 119], dtype=int32), array([554, 241, 481,  99, 410, 515, 193, 208,  64, 502, 379], dtype=int32), array([232, 542,  13, 193, 358, 120, 208,  77, 502, 415, 205], dtype=int32), array([439, 301,  32, 194,  60,  62, 128], dtype=int32), array([232, 331,  13, 339, 193, 208,  64, 502,  69,  60,  73,   8, 384,\n",
      "        40,  10, 384], dtype=int32), array([193, 208, 328,  68, 502, 312], dtype=int32), array([439, 301, 481,  99, 183, 208, 307, 502, 332, 569, 270, 358,  13, 463], dtype=int32), array([554, 241, 481, 267, 176, 193, 503, 208,  64, 502, 415, 205], dtype=int32), array([439, 301, 481, 194, 208, 415, 205, 502,  77], dtype=int32), array([276,  32, 194,  60,  62, 209, 316, 239], dtype=int32), array([230, 156, 570, 513, 208, 415, 205,  29, 502, 159, 415, 205], dtype=int32), array([554, 241, 481, 421,  92, 353, 481, 538,  28, 480, 530,  26, 535], dtype=int32), array([439, 301, 481, 194, 208,  69, 502, 376], dtype=int32), array([383, 276, 217, 511, 234, 415, 205], dtype=int32), array([554,  50, 481, 194, 208,  77, 502, 376], dtype=int32), array([439, 194, 208,  77, 502, 137, 358, 546, 321], dtype=int32), array([439, 194, 208, 137, 502, 351, 480,  58,  19,   9, 350], dtype=int32), array([383, 439, 301, 183, 208, 137, 502, 415, 205], dtype=int32), array([554, 194,  50, 484, 208, 379, 502, 285,  41], dtype=int32), array([276, 127, 194, 208,  64, 502, 137], dtype=int32), array([554, 241, 481, 265, 193, 208,  77, 502, 137, 480, 429,  13, 302], dtype=int32), array([439, 301, 481, 194, 208,  69, 502, 351], dtype=int32), array([439, 301,  32, 183, 208, 332, 569, 502, 307, 270, 358,  13, 518], dtype=int32), array([212, 301, 194, 208,  64, 502,  69], dtype=int32), array([479, 570, 540, 324, 346,  89, 570, 224, 301, 561, 237, 358, 194,\n",
      "       208,  77, 502,  64], dtype=int32), array([439, 301, 194, 208, 415, 205, 502, 137,  19,   8, 384], dtype=int32), array([439, 301, 481,  99, 359, 544, 194, 208, 128, 502, 415, 205, 270,\n",
      "       128,  19,   8, 384], dtype=int32), array([554, 194, 208, 251, 104, 502, 100,  58,  62, 100,  62,   8, 384,\n",
      "       334, 546], dtype=int32), array([554, 194,  50,  66, 206, 208, 376, 502, 351], dtype=int32), array([439, 301, 194, 208,  64, 502, 376, 234, 481, 321], dtype=int32), array([556, 157, 120, 196, 502, 208, 100], dtype=int32), array([554, 194, 213, 208, 100, 502, 423, 358, 416, 358, 120,  26], dtype=int32), array([276, 127, 194, 208, 351, 502,  77, 536, 120,  26], dtype=int32), array([439, 301, 481, 182, 200, 532, 193,  11, 208, 376, 502,  69], dtype=int32), array([232, 542,  13, 174, 193, 208, 128, 502, 312], dtype=int32), array([232, 565, 273,  13, 193, 270, 208, 543, 502,  77,  62,  10, 384,\n",
      "       358,  65, 523], dtype=int32), array([276,  32, 481, 469,  40, 259,  62, 209, 316, 239], dtype=int32), array([ 37, 194, 208, 102, 502, 413, 256, 104], dtype=int32), array([241, 484,  39,  25, 480, 432,  77, 132,  40, 128], dtype=int32), array([557, 530,  26, 193, 192, 208,  77, 502, 415, 205,  40, 294,  13,\n",
      "       459, 234, 376], dtype=int32), array([554, 194,  50, 484, 518, 321, 208, 128, 502,  64], dtype=int32), array([232,   2, 238, 234,  13, 193, 358,  37,  26, 208, 128, 502, 543], dtype=int32), array([357, 123, 570, 211, 301,  13, 410, 515, 498, 208, 236, 502, 251, 104], dtype=int32), array([212, 301,  32, 340, 208, 332, 569, 502, 539, 480,  58, 358,  13, 463], dtype=int32), array([554, 252, 353, 217, 512,  89, 570, 354, 301, 234, 423], dtype=int32), array([554, 252, 353,  25, 241, 193, 528,  10, 208,  77, 502, 137], dtype=int32), array([193, 208, 137, 502, 376, 416,  20], dtype=int32), array([353,  32,  26, 557,  25, 220, 481, 323,  57, 234,  64], dtype=int32), array([276, 127, 194, 353, 530,  25, 208, 137, 502,  69, 561, 190, 105, 430], dtype=int32), array([439, 301, 194, 208, 137, 502, 376], dtype=int32), array([194, 208, 102, 502,   7,   7, 139,  19,  10,  35,  37], dtype=int32), array([554, 241, 481, 193, 347, 353, 481, 165, 193,  73,  77,  40, 543, 132], dtype=int32), array([554, 252, 353,  23, 559, 232,  70, 197, 358, 233, 232, 467,  13,\n",
      "       190, 105,  37,  26, 193, 208, 376, 502, 128], dtype=int32), array([189,  13, 193,  73, 137,  40, 351, 481, 193, 438,  70, 234, 481,\n",
      "        20,  40,  58, 108, 502,   8, 384, 481, 193, 438,  70, 339], dtype=int32), array([194,  73, 332, 569,  40, 307], dtype=int32), array([439, 301, 481, 194, 208, 137, 502,  69, 363, 543, 132, 480,  58,\n",
      "        72, 363,  53, 341], dtype=int32), array([ 89, 570, 473, 301, 481, 194, 480, 213, 208,  77, 502,  64, 448,\n",
      "        19,   8, 384], dtype=int32), array([439, 301, 481, 194, 480, 213, 208, 415, 147, 502, 333, 561, 359,\n",
      "       458, 234, 229], dtype=int32), array([439, 301, 194,  73, 306, 475,  40, 260, 539], dtype=int32), array([554, 194,  50, 484, 208, 128, 502, 379, 358, 317, 321], dtype=int32), array([232, 565, 273, 502, 196, 502, 415, 205, 166, 234, 481, 130], dtype=int32), array([554, 241, 481, 265, 193, 234, 481, 130, 502,  58, 234,  77, 208,  69], dtype=int32), array([410, 515, 194,  73, 332, 569,  40, 307], dtype=int32), array([554,   4, 481, 182, 200, 136, 193,  10, 208, 128, 502, 415, 205], dtype=int32), array([232, 565, 273,  13, 521, 193, 208,  64, 502, 415, 205, 561,  13,\n",
      "       459, 234, 137], dtype=int32), array([554, 194, 208, 452, 372, 502, 251, 104, 358, 206, 561,  80, 428], dtype=int32), array([ 64, 502, 351, 496], dtype=int32), array([ 89, 570, 276, 122, 353, 137, 399,  96], dtype=int32), array([439, 301,  32, 194, 208,  77, 502, 137, 557,  58, 234, 137, 546,\n",
      "        72,   8], dtype=int32), array([554, 194,  50,   7,  66,  73,  77,  40, 128, 201, 564], dtype=int32), array([232, 331,  13, 193, 358,  22,  90, 208, 506, 502, 415, 147, 561,\n",
      "        13, 266, 234, 132], dtype=int32), array([554,  50, 481, 194, 208, 543, 132, 502, 137], dtype=int32), array([189, 301, 481, 165, 193, 208,  77, 502,  64], dtype=int32), array([410, 515,  22, 183, 208, 379, 502, 376, 271, 478,  11, 158], dtype=int32), array([554, 241, 571, 261, 515, 358,  65, 524, 435, 208, 543, 502,  77], dtype=int32), array([230, 296, 371,  89,  13,  74,  10,   7], dtype=int32), array([439, 301, 481, 194,  60, 234,  69, 208, 376,  62,  16,   8, 350], dtype=int32), array([232, 331, 217, 512, 234, 128, 383, 439, 301, 554,   4,  66], dtype=int32), array([554, 241, 481,   7, 118, 500, 200, 229,   7], dtype=int32), array([232, 331,  13, 193, 502,  64, 491,  20], dtype=int32), array([272,   4, 425, 230, 324, 565,  13, 152, 193, 208,  64, 502, 137,\n",
      "        70, 358, 299, 435], dtype=int32), array([554,   4, 481, 386, 353, 481, 267, 176, 190, 105, 410, 515, 498,\n",
      "       358, 532,  22, 208, 107, 502, 307], dtype=int32), array([554, 241, 481, 182, 215, 208,  69, 502,  77, 359, 544, 358, 345, 435], dtype=int32), array([232, 565, 273,  13, 193, 208,  64, 502, 128, 358, 206, 480,  59,\n",
      "       234, 128,  86,   8, 384], dtype=int32), array([439, 301, 481, 194, 208, 379, 502, 285,  41, 358, 496], dtype=int32), array([439,  32,  26, 561, 194,  73, 137,  40, 128], dtype=int32), array([439, 301, 481, 265, 193, 502, 287, 186], dtype=int32), array([383, 439, 301,  32,  30, 234, 137], dtype=int32), array([554,  50, 481, 136, 194, 208, 128, 502,  77], dtype=int32), array([379, 502, 137], dtype=int32), array([439, 301, 194, 208, 376, 502, 137, 358,  13, 317], dtype=int32), array([439, 301, 481, 243, 353, 481, 117, 193, 208,  77, 502, 137, 480,\n",
      "       140,  77,  62,   9,  35], dtype=int32), array([272,   4, 283,  62,  69, 502, 376,  21], dtype=int32), array([554,  50, 325, 101, 353, 194, 208, 260, 539, 502, 332, 569], dtype=int32), array([554,  50, 325, 101, 353, 194, 502, 211, 208,  97, 502, 313,  60,\n",
      "        16,   8, 384, 234, 313], dtype=int32), array([554, 526, 353, 217, 512, 241,  66,  62, 281,  29], dtype=int32), array([439, 301,  32, 410, 516, 208, 332, 569, 502, 307, 270, 358, 518], dtype=int32), array([439, 301, 194, 137, 502, 543, 358, 546], dtype=int32), array([439, 301, 339, 194, 208, 307, 502, 332, 569, 561, 110, 105, 183], dtype=int32), array([358, 167, 193,  10, 197, 208,  64, 502, 137,  89, 570, 473, 301,\n",
      "       554, 526, 353,  23, 241, 534, 358,  13, 193, 555, 242, 269,  62,  10], dtype=int32), array([439, 301, 481, 194,  73,  77,  40, 415, 205, 137,  40, 415, 205,\n",
      "        77,  40, 137], dtype=int32), array([217, 512, 234, 137], dtype=int32), array([554, 526, 353,  23, 241, 534, 197, 208,  64, 502, 137,  72,   9, 341], dtype=int32), array([346, 439, 301, 481, 194, 208, 379, 502,  69], dtype=int32), array([439, 301, 481, 194, 208, 466, 502, 307,  19,   8, 384], dtype=int32), array([194, 208, 251, 104, 502, 107,  40, 386], dtype=int32), array([189, 301,  13, 193, 270,  77,  62,   9, 350], dtype=int32), array([156, 570, 221,  13,  10, 480, 192, 208, 415, 205, 502,  69], dtype=int32), array([554, 194,  50, 484,  73, 328,  40, 452, 286, 557,  50, 339,  40,\n",
      "        58,  19, 341,  40,  72,   8, 384], dtype=int32), array([554,  50, 481, 288, 359, 544, 183, 208,  64, 502, 379], dtype=int32), array([232, 331,  13, 193, 208, 415, 205, 502,  77, 480, 269,  19,   9, 384], dtype=int32), array([554, 241, 481,  99, 359, 544, 182, 208,  77, 502, 543], dtype=int32), array([554, 241, 481, 121, 353,  13,  82, 105, 498, 215, 208,  77, 502,\n",
      "       128, 270, 248, 190], dtype=int32), array([439, 301, 481, 190, 105, 194, 208, 137, 502,  69], dtype=int32), array([439, 301,  32, 194,  78, 152,  40, 117, 208, 128, 201, 564, 502,\n",
      "       172, 415, 205, 363, 351, 480, 138,  19,   8, 384], dtype=int32), array([156,  32, 481, 194, 502, 351, 257,  62, 481, 414,   7], dtype=int32), array([557,  25, 220, 320,  82, 105, 194, 478,  43, 368,  25], dtype=int32), array([383, 177, 182, 111, 179], dtype=int32), array([439, 301, 359, 544, 194, 208, 312, 502, 367], dtype=int32), array([439, 301, 194, 137, 502, 543, 358, 496], dtype=int32), array([230, 156, 232, 211, 208, 481,  29, 502, 159, 234, 466], dtype=int32), array([439, 301, 481, 194, 208,  69, 502, 351], dtype=int32), array([383, 212, 301, 481, 530,  26, 194, 208, 137, 502,  69, 480,  50,\n",
      "       481, 190, 105, 194, 383], dtype=int32), array([194, 208, 282,  71, 502, 328], dtype=int32), array([439, 301,  32, 194, 208, 415, 147, 502, 378, 358,  13,  74,  10], dtype=int32), array([232, 565, 273,  13, 193, 208,  77, 502, 415, 205, 358,  65, 434], dtype=int32), array([232, 565, 273, 502, 213, 208,  64, 502, 137, 358, 518], dtype=int32), array([ 77, 502, 137, 317], dtype=int32), array([439, 301,  32, 194,  60, 502, 137, 208, 351], dtype=int32), array([554,  50, 481, 194, 208, 128, 502,  69], dtype=int32), array([232, 565, 273, 237, 358, 217, 512, 234, 481, 104, 353,  64, 208,\n",
      "        29, 502, 159], dtype=int32), array([232, 331,  13, 193, 208, 361, 502, 285,  41, 358,  13, 496], dtype=int32), array([439, 301, 481, 165, 193, 358, 546, 208,  69, 502, 333], dtype=int32), array([439, 301,  32, 194, 208, 376, 502,  77, 358, 317, 557, 427,  13,\n",
      "       302,  40,  58,  72, 341], dtype=int32), array([439, 301, 481, 386, 353, 193, 162,  10, 208,  64, 502, 543], dtype=int32), array([554, 194,  50, 389,  86, 136,  26], dtype=int32), array([232,   0, 273,  13, 498, 208, 137, 502,  64, 561,  13, 459, 234,\n",
      "       379, 241, 491, 385], dtype=int32), array([554, 194, 208, 466, 502, 367, 358, 416], dtype=int32), array([232,   0, 273, 502, 196, 208,  77, 502, 415, 205], dtype=int32), array([554, 194,  50, 484, 208, 378, 502, 312], dtype=int32), array([439, 301, 481, 532,  22, 194, 208,  64, 502,  77], dtype=int32), array([143, 182, 111, 394], dtype=int32), array([230,  16, 194, 208, 128, 502,  64, 358, 546, 321], dtype=int32), array([232,   0, 273, 502, 189, 481,  99, 193, 208,  77, 502, 415, 205], dtype=int32), array([232, 542, 502, 213,  73,  77,  40, 415, 205], dtype=int32), array([232, 565, 273,  13, 193, 208, 137, 502, 379], dtype=int32), array([232, 542, 502, 254, 554, 194, 570, 221,  66, 110, 363, 168, 105,\n",
      "       208,  69, 502, 128], dtype=int32), array([232, 542,  13, 410, 515, 182, 208, 332, 569, 502, 415, 247], dtype=int32), array([232,   0, 273, 502, 254, 481, 386, 353, 190, 105, 422, 208,  64,\n",
      "       502, 415, 205], dtype=int32), array([189, 513,  55, 200,  13, 410, 515, 193, 208, 128, 502, 379,  19,\n",
      "         8, 384], dtype=int32), array([ 32, 194, 208,  77, 502, 543, 132], dtype=int32), array([276,  32, 481, 194, 208,  64, 502,  97, 343,  94, 480, 268, 334, 317], dtype=int32), array([554, 241, 481, 265, 193, 358, 546, 215, 208,  64, 502, 543, 132], dtype=int32), array([241, 484,  13, 193,  73, 415, 205,  40,  77, 561,  13, 459, 234,\n",
      "       128, 201, 564], dtype=int32), array([241, 484,  13, 193,  73, 351,  40,  77, 561,  13, 459, 234, 128,\n",
      "       201, 564, 358, 521], dtype=int32), array([383, 276, 237,   7, 415, 205,  29], dtype=int32), array([554, 194, 208,  69, 502, 415, 205,  58,  72,   8, 384, 234, 415, 205], dtype=int32), array([156, 570, 221, 359, 502, 137, 208, 376], dtype=int32), array([557, 194, 358, 530,  26,  40, 344, 213, 495, 137], dtype=int32), array([230, 296, 194, 157, 521, 221, 561,  82, 105], dtype=int32), array([376, 502, 415, 205, 317], dtype=int32), array([284, 200,  13, 193, 208, 132, 502, 314], dtype=int32), array([554, 241, 481,  99, 110, 182, 208, 128, 502, 137, 410, 515], dtype=int32), array([232, 560, 502,  75,  13, 193, 208, 379, 502,  64, 110,   7, 182], dtype=int32), array([383, 276, 481, 194, 208, 251, 104, 502, 137], dtype=int32), array([232, 542, 502, 196, 208, 107, 502, 415, 147, 504,  40, 458, 234, 236], dtype=int32), array([554, 241, 481, 165, 193, 208,  77, 502, 128, 201, 564, 270,  65, 171], dtype=int32), array([554, 241, 364], dtype=int32), array([137, 502,  64], dtype=int32), array([333, 502, 107], dtype=int32), array([276, 347, 353, 374, 480,  89,  70,   7, 358, 163, 526, 353, 381,\n",
      "       480, 192,  73, 379,  40,  69], dtype=int32), array([554,  50,  32, 481, 194, 240,  64,   4,  29], dtype=int32), array([230,  89, 232, 213, 208, 481, 415, 205,  29, 502, 159, 415, 205], dtype=int32), array([237, 358, 194, 208,  77, 502, 543], dtype=int32), array([ 50, 484,  43, 194,  73, 376,  40, 137], dtype=int32), array([554, 241, 481, 217, 512,  66, 234, 137], dtype=int32), array([439, 301, 481, 194, 208, 137, 502, 260, 539], dtype=int32), array([156, 570, 221,  13, 193, 358, 546, 208, 137, 502, 543, 132, 339], dtype=int32), array([232,   0, 273,  13, 193, 504, 208, 114, 502, 229, 561,  13, 459,\n",
      "       234, 328], dtype=int32), array([439, 301,  32, 481, 194,  73, 128, 201, 564,  40, 172, 415, 205,\n",
      "       363, 351, 480, 138,  73,   8,  40,   8, 384], dtype=int32), array([554, 252, 353, 217, 512, 241, 484, 234, 128], dtype=int32), array([554,   4, 481, 323, 176, 544, 232,  89, 196, 502, 543], dtype=int32), array([402, 193, 237, 208,  77, 502, 137, 358, 546], dtype=int32), array([339, 194, 137, 502, 251, 104], dtype=int32), array([554, 500, 157, 521, 138, 208,  77, 502, 213, 502, 415, 205], dtype=int32), array([276, 481, 194, 358, 463,  20, 208, 351, 502, 128], dtype=int32), array([410, 515, 183, 208,  69, 502, 376, 529,  11, 158], dtype=int32), array([439, 301,  32, 194, 208, 415, 205, 502, 379, 358,  13, 317], dtype=int32), array([232, 565, 273, 502, 425, 481, 194, 208,  69, 502, 376, 383], dtype=int32), array([189, 301, 481, 165,  77, 141,  40, 481, 265,  64, 407, 515, 446,\n",
      "       480, 232,  89,  70, 358, 481, 217, 481, 298,  38, 353, 500, 234,\n",
      "        64,  40, 407, 502,  77, 358, 481, 414, 130], dtype=int32), array([357, 250, 358, 345, 524, 487, 232, 542, 502, 196, 208,  64, 502,\n",
      "       137,  40, 232, 331, 502, 254, 554, 194,  50,  66], dtype=int32), array([ 50, 484,  43, 194, 208, 137, 502,  64, 557, 116, 234, 379], dtype=int32), array([196, 208, 137, 502, 376, 358, 120], dtype=int32), array([232, 331,   8, 190, 105, 499, 208, 128, 201, 564, 502, 415, 205], dtype=int32), array([554, 194, 208, 102, 502, 471], dtype=int32), array([189, 301, 194, 480,  50, 339,  73,  77,  40, 128], dtype=int32), array([232,   0, 273, 502, 425, 194, 208,  69, 502,  64, 480,  58,  72,\n",
      "       341,  40, 232,   0, 273, 502, 425, 194, 208, 137, 502,  64, 480,\n",
      "        58,  72, 341], dtype=int32), array([241, 484, 217, 512, 208, 415, 147,  29, 502, 481, 159,  51], dtype=int32), array([463, 194, 208, 332, 569, 104, 502, 260, 539], dtype=int32), array([232, 331,  13, 193, 208,  77, 502, 137], dtype=int32), array([554, 241, 481, 261, 193, 208, 128, 502,  77], dtype=int32), array([232,   0, 273, 502, 189,  13, 339, 193, 208,  77, 502,  64, 480,\n",
      "       269, 448, 234, 481,  20,  40,  59, 234,  64,  72, 174], dtype=int32), array([439, 301, 481, 194, 208, 137, 502, 415, 205], dtype=int32), array([383, 276, 481, 321, 194, 208, 452, 286, 502, 452, 372], dtype=int32), array([270, 543, 215, 502, 415, 205, 481, 265, 193], dtype=int32), array([383, 212, 301, 194, 208,  64, 502,  77, 358, 546,  20,  40, 496, 321], dtype=int32), array([410, 515, 183, 208, 137, 502, 376, 271, 478,  11, 158], dtype=int32), array([223, 232, 565, 273, 502, 380,  13, 193, 208,  77, 502, 137], dtype=int32), array([439, 301, 481, 193, 106, 200, 136,  26], dtype=int32), array([232, 542, 502, 196, 208, 307, 502, 100, 358,  37,  26,  40,  58,\n",
      "        62,  53,   8, 350, 234, 481,  20, 439, 301,  32, 194], dtype=int32), array([554, 241, 481, 265, 193, 270,  77, 502, 137], dtype=int32), array([554,   4, 481, 261, 193, 270, 208, 379, 502, 351], dtype=int32), array([439, 301, 359, 544, 194, 208, 312, 502, 367, 270, 358, 546, 321], dtype=int32), array([156, 570, 221,  39, 166, 321, 152, 193, 208, 376, 502, 379], dtype=int32), array([383, 212, 301, 481, 194, 208, 137, 502, 379, 557, 268, 234, 481,\n",
      "       321, 358, 248, 424], dtype=int32), array([276, 481, 194, 208, 506, 502, 413, 256, 104], dtype=int32), array([383, 439, 301, 194, 208, 128, 502,  64, 358, 317], dtype=int32), array([232, 542, 502, 268,  77,  62,  10,  40,  58, 234, 137,  62,  11,\n",
      "       234, 481, 321], dtype=int32), array([554, 194, 268,  19,   8, 384, 208, 376, 502,  77], dtype=int32), array([439, 301,  32, 481, 103, 480, 311, 178, 429], dtype=int32), array([357, 232, 542,  13, 193, 366, 234, 137, 215, 502, 379], dtype=int32), array([194, 208, 333, 502, 471, 358, 206, 358, 532,  22], dtype=int32), array([554,  50, 481, 410, 515, 194, 208, 376, 502, 415, 205], dtype=int32), array([439, 301, 194, 208, 312, 502, 367, 358, 546, 174, 363, 496, 322], dtype=int32), array([232, 565, 273, 237, 358, 194, 208, 128, 201, 564, 502,  64, 358,\n",
      "       546, 321], dtype=int32), array([232, 565, 273, 502, 196, 208, 379, 502,  64], dtype=int32), array([212, 301,  32, 481, 194, 208, 306, 502,  97], dtype=int32), array([554, 241, 481, 288, 121, 200,  13, 359, 544, 498, 208,  77, 502, 543], dtype=int32), array([232, 331,  13, 193, 208, 415, 147, 502, 236, 270, 234, 481,  20,\n",
      "       358, 518], dtype=int32), array([554, 241, 481, 182, 200, 194, 208, 137, 502,  64], dtype=int32), array([ 32, 194, 208,  77, 502, 543, 132, 358, 481, 476, 353, 345], dtype=int32), array([383, 439, 301, 481, 194,  66, 208, 415, 205, 502, 379, 358, 518], dtype=int32), array([554,  26,  50,  17,  40,  61], dtype=int32), array([554,  50, 481, 149, 106, 353, 430,  40, 481, 387, 200, 532,  22], dtype=int32), array([439, 301, 166, 206, 321, 194, 208, 415, 205, 502,  77], dtype=int32), array([232, 331, 502, 196,  73, 376,  40,  64], dtype=int32), array([230, 324, 157, 242, 121, 502, 196, 167,  26, 208,  64, 502,  77], dtype=int32), array([232, 331, 481, 165, 193, 208, 137, 502,  77, 480, 429, 150], dtype=int32), array([383, 212, 301, 193, 420, 208, 379, 502, 376], dtype=int32), array([ 89, 570, 383, 439, 301, 481, 194, 208, 379, 502,  77, 358, 546,\n",
      "       353, 334, 548, 480,  58,  72, 341], dtype=int32), array([232, 565, 273, 502, 189, 369, 554, 194, 484,  50, 358, 206, 249,\n",
      "       173, 208, 452, 375, 502, 312,  40, 483, 208, 312, 502, 466, 479, 570], dtype=int32), array([276,  32, 194, 215, 208,  77, 502,  64,  19,   8, 350, 358, 546,\n",
      "        40,  72,   8, 350,  35, 358, 496], dtype=int32), array([194,  73, 471,  40, 452, 286], dtype=int32), array([554, 241, 481, 165, 321, 193, 270,  77, 200, 543], dtype=int32), array([232, 565, 273,  39,  37, 193, 208, 506, 502, 415, 147, 561,  13,\n",
      "       459, 234, 137, 383], dtype=int32), array([ 34, 439, 301, 481, 190, 193, 208,  64, 502, 137, 358,  13, 496], dtype=int32), array([383, 212, 301,  32, 194, 208, 282,  71, 502, 306], dtype=int32), array([383, 212, 301, 481,  99, 410, 515,  24, 208,  64, 502, 376, 358,\n",
      "        65, 481, 190], dtype=int32), array([321, 193, 208,  77, 502, 376], dtype=int32), array([554, 156, 570, 221, 208, 376, 502, 128, 358, 416, 321], dtype=int32), array([383, 276, 481, 194, 208, 543, 132, 502,  64], dtype=int32), array([241, 484,  39,  37,  26, 193, 234, 481, 174, 208, 128, 502, 415, 205], dtype=int32), array([439, 301, 481, 323, 176, 182], dtype=int32), array([410, 515, 182, 208,  69, 502, 376, 271, 478,  11, 158], dtype=int32), array([232, 565, 273,  13, 193, 358,  37,  26, 208,  69, 502, 415, 205,\n",
      "       561,  13, 458, 234, 137], dtype=int32), array([194, 208, 102, 502, 413, 256, 104], dtype=int32), array([229,  30], dtype=int32), array([232, 331,  13, 193, 208, 128, 502, 415, 205], dtype=int32), array([ 89, 570, 473, 301, 481, 265, 174, 193, 208,  64, 502, 137, 358,\n",
      "       248, 435], dtype=int32), array([554, 241, 481, 267, 176, 359, 544, 498, 208,  64, 502, 137, 270,\n",
      "       358, 352, 522], dtype=int32), array([212, 301, 237, 358, 194, 208,  64, 502, 543, 132, 270, 358, 496,\n",
      "        72,  11], dtype=int32), array([554,  26, 196,  73,  77,  40,  64], dtype=int32), array([439, 301, 481, 526, 353,  23, 480, 125, 535], dtype=int32), array([123, 570, 473, 301, 554, 194, 570, 221, 480,   7, 127, 208,  77,\n",
      "       502, 415, 205, 383], dtype=int32), array([232, 331, 237, 358, 194, 270, 128,  60, 234,  77, 270, 128, 166,\n",
      "       234, 481, 321], dtype=int32), array([554, 194,  50, 484, 208,  97, 502,  69], dtype=int32), array([232, 565, 273, 502,  75,  39, 166, 321, 193, 208, 471, 195, 502,\n",
      "        97, 343,  94, 358,  49, 443], dtype=int32), array([554,  50, 481, 194, 208, 251, 104, 502,  81, 358, 416, 299, 524,\n",
      "       525, 358, 451], dtype=int32), array([554, 157, 349, 453, 200], dtype=int32), array([212, 301, 481, 194, 208, 332, 569, 502, 260, 539,  40, 306, 502,\n",
      "       260, 539, 358, 463], dtype=int32), array([217, 511, 234, 351], dtype=int32), array([439, 194, 208, 137, 502, 351,  60,  73,   9,  40,   8, 350], dtype=int32), array([383, 212, 301,  32, 194, 208, 128, 502, 351,  72, 341], dtype=int32), array([232,   0, 273, 502, 254, 481, 165, 193, 208,  77, 502,  64], dtype=int32), array([232, 565, 273,  13, 193, 208,  64, 502, 137], dtype=int32), array([ 32, 183,  40, 194, 208, 376], dtype=int32), array([439, 301, 194, 208,  69, 502, 128], dtype=int32), array([ 32, 194, 208, 379, 502, 376, 480,  58,  62,   8, 350, 334, 518], dtype=int32), array([276,  32, 481, 194, 480,  58,  62, 209, 316, 239,  29], dtype=int32), array([232, 331,  13, 276, 353, 263,  20, 194, 208, 100, 502, 312], dtype=int32), array([241, 484,  13, 193,  73, 351,  40,  77, 561,  13, 459, 234, 128,\n",
      "       201, 564, 358, 521], dtype=int32), array([439, 301, 481, 194, 208, 160, 502, 415, 205, 270,  19,   8, 384], dtype=int32), array([554,  50, 481, 194, 208, 306, 502, 466], dtype=int32), array([554, 194,  50,  66, 208,  77, 502, 128], dtype=int32), array([439, 301, 481, 194, 208, 128, 502,  77], dtype=int32), array([439, 301, 481,  99, 410, 516, 208, 128, 502,  69], dtype=int32), array([232,   0, 273, 502, 196, 120,  26,  73,  77,  40, 376], dtype=int32), array([276,  32, 339, 194, 208, 285,  41, 502, 379,  72,   8, 384, 358, 518], dtype=int32), array([554, 194,  50,  66, 561, 390, 183, 208,  77, 502, 379], dtype=int32), array([194, 208, 251, 104, 502, 107], dtype=int32), array([189, 513,  55, 200,  13, 410, 515, 193, 208, 128, 502, 379,  60,\n",
      "        19,   8, 384], dtype=int32), array([ 50, 484,  43, 368, 103, 480, 232,  89, 196, 208,  77, 502, 128,\n",
      "       495, 480, 232,  89, 211,  13, 193, 164, 478,  11, 234, 481, 321], dtype=int32), array([554, 194, 208, 452, 372, 502, 251, 104, 358, 206, 561,   7, 428], dtype=int32), array([439, 301, 481,  99, 182, 208, 128, 502,  69], dtype=int32), array([189,  13, 193, 208, 543, 132, 502, 415, 205, 358, 518], dtype=int32), array([223, 232,   2, 517, 502, 189,  13, 193, 480, 214, 208, 379, 502,\n",
      "       137,  19,   8, 384], dtype=int32), array([217, 511, 137], dtype=int32), array([232, 565, 273,  13, 339, 193, 208, 376, 502, 379], dtype=int32), array([232, 331,  13, 277, 353, 194, 208, 251, 104, 315, 502, 413, 256,\n",
      "       104, 537], dtype=int32), array([410, 515, 183, 208,  69, 502, 376, 529,  11, 158], dtype=int32), array([232, 331, 237, 200, 217, 512, 137, 113], dtype=int32), array([554, 157,   7, 453, 200], dtype=int32), array([439, 301, 481, 194, 208, 379, 502, 415, 205, 200, 496, 335, 363, 206], dtype=int32), array([276, 481, 183, 353, 310,  26, 194, 208,  77, 502, 376], dtype=int32), array([439, 301,  32, 194, 208, 361, 502, 466, 359, 544], dtype=int32), array([156, 570, 221,  13, 193, 208, 413, 256, 104, 502, 452, 375], dtype=int32), array([439,  32, 194, 208, 307, 502, 246], dtype=int32), array([554, 252, 353,  27, 241, 193, 528,  10, 208,  77, 502, 137], dtype=int32), array([232, 565, 273, 237, 358, 194, 270, 166, 317, 321, 208,  64, 502,  69], dtype=int32), array([ 89, 570, 439, 301, 359, 544, 168, 183, 208, 128, 502,  64], dtype=int32), array([338, 232, 542, 502, 213, 208, 137, 502, 351], dtype=int32), array([212, 301, 481,  99, 193, 208, 128, 502,  69, 358, 416], dtype=int32), array([439, 301,  32, 194, 208, 415, 205, 502,  77, 358, 345, 476], dtype=int32), array([554, 194, 268, 255, 218, 200, 415, 247,  40,  58,   9, 384], dtype=int32), array([276, 481, 339, 194, 358, 546, 249, 424, 208, 307, 502,  69,  60,\n",
      "       234,  69,  73,  11,  35,  40,  11, 384], dtype=int32), array([230, 324, 241,  13, 410, 515, 182, 208, 328, 502, 423], dtype=int32), array([232, 542,  13, 193, 358, 521, 208,  77, 502, 137], dtype=int32), array([212, 301, 481, 265, 344,  26, 193, 208, 312, 502, 466, 504], dtype=int32), array([232,   2, 238, 234,  13, 193, 208, 128, 502, 543,  40, 232,   2,\n",
      "        34, 238, 234, 215, 502,  69], dtype=int32), array([123, 570, 473, 301, 233, 484, 241, 217, 512,  73, 481,  77,  29,\n",
      "        40,  77, 159], dtype=int32), array([554, 157, 182, 111, 566, 304], dtype=int32), array([232, 542, 502, 268, 208, 376,  40, 213, 502,  64,  69,  40,  77,\n",
      "       383, 276, 485, 194], dtype=int32), array([230, 181, 208, 481,  29, 234, 481, 128, 201, 564,  29, 241, 128], dtype=int32), array([473, 301, 481, 194, 208, 128, 502,  69], dtype=int32), array([190, 105, 410, 515,  24, 208, 236, 502, 306], dtype=int32), array([193, 208, 376, 502, 128,  60,  72,   8, 384, 358, 416], dtype=int32), array([554, 194, 208, 229, 502, 312, 358, 206, 358,  37,  26], dtype=int32), array([439, 301, 481, 174, 194, 208,  64, 502,  77], dtype=int32), array([ 77, 217, 512], dtype=int32), array([276,  26, 433,  73, 137,  40, 415, 205], dtype=int32), array([ 18, 554,  50, 481, 339, 194, 208, 260, 539, 502,  81, 358, 416,\n",
      "       299, 524, 525], dtype=int32), array([212, 301, 194, 208, 379, 502,  69], dtype=int32), array([230, 296,  26, 196, 208, 332, 569, 502, 285,  41,  86, 544, 353, 312], dtype=int32), array([554,  50, 481, 194,  73, 128,  40, 379, 358, 248, 169], dtype=int32), array([554, 252, 353,  23, 157, 136, 533,  72,   8,  35, 358,  65, 424,\n",
      "       208,  77, 502, 137], dtype=int32), array([241, 242, 385, 200, 301, 502, 196, 208,  69, 502, 415, 205], dtype=int32), array([554,  50,  32, 353, 481, 194, 240,  40, 369, 353,  64,   4,  29], dtype=int32), array([439, 301, 481, 193, 480, 269, 376, 234, 481,  20,  40,  59, 234,\n",
      "       481, 174, 234, 137], dtype=int32), array([232, 331,  13, 193, 208,  97, 502, 333, 270, 503, 174], dtype=int32), array([439, 301,  32, 183,  73, 376,  40, 415, 205, 480,  50, 271, 478,\n",
      "        10, 158, 359, 544], dtype=int32), array([230, 296, 190, 105, 194, 157, 136,  26, 221], dtype=int32), array([439, 301,  32, 194, 208, 415, 205, 502, 379, 358, 206], dtype=int32), array([383, 276,  32, 530, 194,  73, 379,  40,  69], dtype=int32), array([232, 331,  13, 276, 353, 263,  20, 194, 208, 452, 286, 502, 100], dtype=int32), array([234, 481, 318, 353, 134,  50, 484,  43, 194, 208,  64, 502, 137,\n",
      "       480, 458, 234,  77], dtype=int32), array([212, 301,  13, 193, 208,  97, 502,  69, 358, 518, 321], dtype=int32), array([232,   0, 273, 502,  75,  13, 193, 208, 114, 502, 328, 383], dtype=int32), array([554, 241, 571, 261, 193, 270, 415, 205,  40,  60, 234, 137], dtype=int32), array([232,   0, 273, 502,  75, 481,  99, 359, 544, 193, 208, 379, 502,\n",
      "        64, 358, 248, 523], dtype=int32), array([232,   0, 273, 481, 190, 193, 234, 481, 321, 208,  77, 502, 543], dtype=int32), array([194, 208, 128, 502, 229, 234, 481, 321], dtype=int32), array([232, 331,  13, 193, 208, 137, 502, 379, 358, 248, 435, 480, 269,\n",
      "       234, 481,  20], dtype=int32), array([439, 301, 481, 194, 208, 333, 332, 245, 502, 361, 239, 334, 416], dtype=int32), array([ 89, 570, 473, 301, 481, 194, 358, 352, 187,  11, 208,  77, 502, 351], dtype=int32), array([383, 276,  32, 194, 208, 128, 502, 379, 358, 248, 204,  11], dtype=int32), array([554, 241, 175], dtype=int32), array([554, 241, 481, 267, 176,  24,  73,  77,  40,  69], dtype=int32), array([232, 331,  13, 193, 208, 376, 502, 137], dtype=int32), array([276,  32,  20, 194, 358, 530,  26, 208, 415, 205, 502, 137], dtype=int32), array([212, 301, 321, 194, 208,  64, 502,  69], dtype=int32), array([554,   4, 481, 334, 444, 381,  19,  13, 520], dtype=int32), array([554, 157, 481, 182, 111, 568, 304], dtype=int32), array([232, 331,  13, 193, 208,  64, 502,  69,  40, 491, 193, 438,  58,\n",
      "        62,   8, 384, 383], dtype=int32), array([232, 565, 273, 502,  75,  13, 193, 208,  69, 502, 333, 166, 234,\n",
      "       481, 321, 358,  49, 337], dtype=int32), array([383, 276, 481, 387, 200,  13, 399,  93, 234, 379], dtype=int32), array([554, 193, 208, 137, 502, 379,  59, 165, 234, 481, 321], dtype=int32), array([554, 194, 208,  64, 502, 452, 286, 358, 518,  60,  53,  10, 384], dtype=int32), array([439, 301,  32, 217, 512, 234, 543, 132], dtype=int32), array([232,   0, 273, 502, 213, 208,  77, 502, 415, 205, 561,  13, 458,\n",
      "       234, 128], dtype=int32), array([276, 194, 208, 378, 502, 145, 358, 546], dtype=int32), array([554, 241, 481, 154,  73, 379,  29,  40, 159, 379], dtype=int32), array([230, 296, 353, 136,   4, 335, 194,  50, 190, 105], dtype=int32), array([284, 200,  13, 193, 502, 413, 256, 104], dtype=int32), array([ 40, 230, 324, 157, 242, 121, 502, 513, 208,  77,  29, 502, 159], dtype=int32), array([554,  50, 481, 288, 359, 544, 183, 208,  64, 502, 137], dtype=int32), array([439, 301,  32, 481, 194, 208, 506, 358, 329], dtype=int32), array([554,  50, 481, 194, 200, 530,  26, 358, 426, 523, 234, 481, 321], dtype=int32), array([473, 301,  16, 217, 512, 234, 452, 375,  29], dtype=int32), array([554, 217, 512, 241,  66, 234, 128], dtype=int32), array([439, 301, 481, 194, 208,  77, 502,  64,  40, 481, 407, 194, 208,\n",
      "        64, 502,  77], dtype=int32), array([383, 276, 481, 193, 501, 200,  77, 502, 379], dtype=int32), array([439, 301, 481,  26,  73,  77,  40, 506], dtype=int32), array([439, 301, 120, 194, 208, 100, 502, 423, 358, 416, 321], dtype=int32), array([554, 241, 481,  99, 182, 208, 137, 502, 379], dtype=int32), array([212, 301, 481, 120, 194, 208, 100, 502, 423, 358, 206], dtype=int32), array([232, 565, 273, 571, 396,  73,  64,  40,  77, 358, 426, 487], dtype=int32), array([383, 276,  35, 194, 270, 415, 205,  77], dtype=int32), array([232, 565, 273,  13, 276, 353, 194, 208, 379, 502, 128], dtype=int32), array([557, 241, 481, 193, 347, 200, 481, 532,  22, 193, 208, 376, 502,\n",
      "        77, 241, 242,  10, 363, 241, 242,  12], dtype=int32), array([237, 358, 190, 105, 410, 515, 208, 379, 502, 415, 205], dtype=int32), array([383, 439, 301, 481, 376, 502, 137, 416, 194,  21], dtype=int32), array([ 69, 502, 376], dtype=int32), array([232, 565, 273, 481, 194,  66, 208,  77, 502, 137,  60, 234, 137,\n",
      "       358,   8, 350, 546, 321, 358, 363,  86,   8, 350, 546, 321], dtype=int32), array([383, 473, 301, 230, 296, 339, 194, 484,  50, 208,  77, 502,  64], dtype=int32), array([157,  37,  26, 196, 208,  64, 502, 376], dtype=int32), array([554, 241, 412], dtype=int32), array([123, 570, 473, 301, 554, 321, 194,  50,  66, 208, 351, 502, 137,\n",
      "        72,   9,  35], dtype=int32), array([439, 301, 481, 276, 353, 532,  22, 194,  73,  77,  40, 132], dtype=int32), array([232, 331, 502,   7, 324, 353,  13, 130, 358, 481, 217, 234,  64,\n",
      "       189, 301,  39, 166, 193, 208,  77,  40, 481, 262, 385, 193,  68,\n",
      "       208,  64], dtype=int32), array([383, 276,  32, 136, 194, 208, 251, 104, 502, 413, 256, 104], dtype=int32), array([439, 301,  32, 481, 194, 208, 102, 502, 506], dtype=int32), array([232, 565, 273, 502, 196, 208, 137, 502,  77], dtype=int32), array([554, 253, 353, 382,  50, 534,  86, 310,  26], dtype=int32), array([554, 194,  50,  66, 358, 155, 208, 128, 502,  64, 358, 317, 321], dtype=int32), array([190, 194, 208, 379, 502,  64, 358,  13, 496], dtype=int32), array([276, 194, 270, 137,  40,  60, 234, 367, 358, 416, 139,  19,   9, 384], dtype=int32), array([232,   0, 273, 502, 196, 208, 415, 205, 502,  77, 561,  13, 459,\n",
      "       234, 128, 201, 564,  40, 232, 542, 502, 196, 358, 136,  26], dtype=int32), array([232, 542, 502, 196, 208, 312, 502, 367], dtype=int32), array([554, 501, 358, 546, 123, 232, 467,  13, 381, 208, 137, 502, 351], dtype=int32), array([554, 241, 481,  24,  73, 137,  40, 379], dtype=int32), array([439, 301, 447, 237, 358, 295,  13, 403, 208, 376, 502, 137, 358, 463], dtype=int32), array([554, 241, 481, 182, 358, 345, 435, 215, 359, 544, 208, 379, 502, 376], dtype=int32), array([ 37, 194, 208, 415, 205, 383], dtype=int32), array([232, 331, 359, 190, 105, 498, 208, 128, 201, 564, 502, 415, 205], dtype=int32), array([554,  50, 481, 106, 353, 430, 358, 289], dtype=int32), array([554,   4,  13, 193, 480, 214, 208,  69, 502, 423], dtype=int32), array([554, 194,  50, 484, 358, 136, 208,  77, 502, 128], dtype=int32), array([383, 189, 481,  99, 182, 208,  77, 502, 415, 205], dtype=int32), array([554, 194, 257,  62, 209, 316, 239], dtype=int32), array([217, 511, 378], dtype=int32), array([554, 241, 481, 288, 182, 208, 137, 502, 379], dtype=int32), array([194, 208,  64, 502, 128, 234, 481,  20], dtype=int32), array([439, 301,  32, 194, 208, 236, 502, 319], dtype=int32), array([554, 241, 405,  45,   9], dtype=int32), array([554, 194,  50, 484, 208,  69, 502, 415, 205], dtype=int32), array([232, 331, 193, 237, 358, 416, 200,  13, 193, 208, 376, 502, 128], dtype=int32), array([276,  32, 481, 469,  40, 259,  62, 209, 316,  29], dtype=int32), array([232, 331, 193, 237,  73,  64,  40,  77], dtype=int32), array([276,  32, 194, 215, 208,  77, 502,  64,  72,   8, 350,  35, 358, 496], dtype=int32), array([212, 301, 321, 194, 208,  97, 502,  69], dtype=int32), array([383, 212, 301, 481, 193, 501, 232, 565, 273, 502, 196, 208,  77,\n",
      "       502,  69, 234, 481, 321,  72,   8], dtype=int32), array([174, 194, 208, 376, 502, 351], dtype=int32), array([556, 241, 209, 316, 239, 280], dtype=int32), array([241, 484,  13, 136, 193, 208, 137, 502, 415, 205], dtype=int32), array([546, 321, 194,  73,  69,  40, 333, 332, 245], dtype=int32), array([410, 515, 183, 208,  69, 502, 376, 271, 478,  11, 158, 363, 410,\n",
      "       515, 183, 208, 137, 502, 376, 271, 478,  11, 158, 363, 410, 515,\n",
      "       183, 208, 379, 502, 376, 271, 478,  11, 158], dtype=int32), array([439, 301,  32, 194, 208, 379, 502, 415, 205], dtype=int32), array([554,  50, 481, 194, 208, 379, 502, 137,  40,  68], dtype=int32), array([383, 439, 301,  26, 561, 194, 208, 137, 502,  77, 561, 458, 234, 376], dtype=int32), array([189, 513,  55, 200,  13, 410, 515, 193, 208,  77, 502, 379,  60,\n",
      "        19,   8, 384], dtype=int32), array([554, 194,  50,  73, 146,  40, 351], dtype=int32), array([232, 331,  13, 263, 193, 208, 415, 205, 502,  77, 358, 546], dtype=int32), array([554, 241, 481, 265, 193, 270, 333, 200, 285,  41, 546], dtype=int32), array([230, 296, 422, 234,  13,  10], dtype=int32), array([554, 194,  50, 484, 208, 332, 569, 104, 502, 260, 539], dtype=int32), array([241, 484,  13, 193, 208,  64, 502, 415, 205, 358, 345, 435,  62, 341], dtype=int32), array([439, 301, 481, 165, 193, 208, 415, 247, 502, 379, 480, 429,  13, 445], dtype=int32), array([439, 301, 194, 208, 128, 502,  64, 358, 518], dtype=int32), array([439, 301,  32, 194, 208, 332, 569, 502, 312, 358, 344,  26, 139,\n",
      "        62,  10,  35], dtype=int32), array([439, 301, 481, 190, 193, 480,  59, 234, 506, 208, 102], dtype=int32), array([232, 565, 273, 502, 196, 530,  26, 208, 543, 132, 502, 137, 113], dtype=int32), array([241, 484,  13, 193, 358, 530,  26, 208,  77, 502, 137], dtype=int32), array([439, 301, 410, 516, 208, 229, 502, 260, 539, 339], dtype=int32), array([276,  32, 339, 194, 208, 255, 502, 379,  72,   8, 384, 358, 518], dtype=int32), array([276, 481,  26, 480, 221, 339,  20, 194, 208,  77, 502, 351], dtype=int32), array([439, 301, 481, 165, 193, 208,  77, 502, 137], dtype=int32), array([189, 513,  55, 200,  13, 410, 515, 193, 208, 128, 502, 379], dtype=int32), array([439, 301, 194,  66, 208,  64, 502,  69, 270, 358, 317, 321], dtype=int32), array([439, 301, 194, 208,  69, 502, 128], dtype=int32), array([554,  50, 481,  99, 359, 544, 194, 208, 379, 502,  64], dtype=int32), array([410, 515, 183, 332, 569, 502, 415, 247], dtype=int32), array([554, 241, 481, 190, 105, 182, 208,  69, 502, 128], dtype=int32), array([136, 194, 502, 128, 383], dtype=int32), array([194, 208, 114, 502, 312], dtype=int32), array([157, 193, 155,  10, 155,  10, 208,  77, 502, 137, 458, 234, 376], dtype=int32), array([383, 401, 481, 193, 142, 200, 317,  65, 336, 208, 137, 502, 379], dtype=int32), array([554, 217, 512, 241,  66,  62, 137,  29], dtype=int32), array([439, 301, 194, 208,  77, 502, 379,  19,  11, 228, 358, 546], dtype=int32), array([439, 194, 208, 415, 205, 502, 137, 358,  13, 496], dtype=int32), array([554, 241, 481, 305, 353, 302, 111, 411], dtype=int32), array([232, 565, 273, 237, 358, 194, 208,  69, 502,  64, 358, 496,  60,\n",
      "       234,  64,  72,   8, 384], dtype=int32), array([554, 194, 268,  19,   8, 384, 208, 379, 502, 376], dtype=int32), array([439, 301, 481, 194, 208, 376, 502, 128], dtype=int32), array([439, 301, 481, 194, 208, 137, 502, 376,  40, 481, 194, 208, 379,\n",
      "       502, 376], dtype=int32), array([554, 194,  50, 484, 504, 208, 466, 502, 415, 247], dtype=int32), array([554, 194, 208,  64, 502, 452, 286, 358, 518,  60,  53,  10, 384], dtype=int32), array([208, 137, 502,  69], dtype=int32), array([439, 194, 208, 376, 502, 415, 205], dtype=int32), array([232, 565, 273,  13, 193, 208, 137, 502, 379], dtype=int32), array([ 32, 409, 554, 232,   0, 273, 502, 156, 241, 189, 481,  99, 359,\n",
      "       544, 182, 208,  77, 502, 137], dtype=int32), array([ 50, 484,  43,  37,  26, 194, 197, 240, 379,  73,   9,  40,   8,\n",
      "       234, 481,  20], dtype=int32), array([554, 241, 481, 165, 193, 208, 376, 502, 128, 190, 105], dtype=int32), array([190, 105, 208, 145, 502, 452, 375], dtype=int32), array([ 89, 570, 276,  32, 194, 208, 100, 502, 312], dtype=int32), array([276,  32, 194, 358, 120, 270, 137, 358, 317], dtype=int32), array([241, 484, 217, 512, 234, 351], dtype=int32), array([439, 301, 194, 208, 543, 132, 502, 415, 205, 561,  13, 459, 234, 137], dtype=int32), array([554, 241, 481,  99, 193, 208, 543, 502, 415, 205, 358, 206], dtype=int32), array([123, 232, 221,   7, 353, 194, 208, 332, 569, 502, 319,  90, 270,\n",
      "       358, 546], dtype=int32), array([212, 301, 481, 194, 358, 518, 208, 285,  41, 502, 379], dtype=int32), array([157, 120, 196, 208,  77, 502, 415, 205], dtype=int32), array([232,   0, 273, 502, 211,  13, 193, 208, 543, 502, 351, 561,  13,\n",
      "       459, 234, 128, 201, 564, 200, 426, 187], dtype=int32), array([212, 301, 481, 359, 544, 194, 208, 379, 502,  77], dtype=int32), array([232, 542, 502, 213, 208,  77, 502, 351], dtype=int32), array([554,  50, 481, 194, 208, 107, 502, 236, 200, 546, 481, 522], dtype=int32), array([237, 358, 194, 208,  64, 502, 543, 132, 139, 358, 496,  72,   8,  35], dtype=int32), array([376, 502,  77, 317], dtype=int32), array([554, 241, 481,  99, 193, 197, 208,  77, 502,  64,  72,   8], dtype=int32), array([554,   4, 481, 261, 193, 208, 229, 502, 128], dtype=int32), array([339, 194, 423, 502, 251, 104], dtype=int32), array([439, 301, 481, 194, 208, 379, 502,  69], dtype=int32), array([554, 194, 208, 100, 502, 251, 104, 234, 481, 321], dtype=int32), array([416, 194, 208, 260, 539, 502, 378], dtype=int32), array([232, 565, 273, 502, 189,  13, 193, 208, 251, 104, 502, 413, 256,\n",
      "       104, 358, 136,  40,  60,  62,  16,   8, 350, 234, 481, 174, 123,\n",
      "       570, 383, 473, 301, 481,  23,  40, 481, 193, 347, 479, 570], dtype=int32), array([439, 301, 194, 215, 208,  77, 502, 137,  60, 358, 546, 321], dtype=int32), array([232, 565, 273,  13, 193, 208, 379, 502, 415, 205, 358,  65, 523], dtype=int32), array([276,  32, 481, 194, 208,  64, 502, 376, 358,  65, 481, 190], dtype=int32), array([439, 301, 481, 194, 480, 213, 208, 415, 147, 502, 333,  86, 544,\n",
      "       353, 229], dtype=int32), array([554, 217, 512, 241,  66, 234, 415, 205], dtype=int32), array([479, 570, 200, 480, 237, 346, 232, 565, 273, 502,  75,  13, 193,\n",
      "       208, 376, 502,  77, 358, 481, 335, 353,  49, 441,  53,   8, 350], dtype=int32), array([554, 194, 208, 423, 502, 413, 256, 104], dtype=int32), array([554, 527, 353, 303,  50,  66], dtype=int32), array([554, 194,  50,  66, 208, 415, 205, 502, 379, 358, 317, 321], dtype=int32), array([232, 542, 502, 138, 543,  49, 523, 502,  64, 267, 176, 182], dtype=int32), array([166, 321, 194,  73, 102,  40, 471], dtype=int32), array([554, 526, 353,  23, 157, 167, 196, 208,  64, 502, 137,  72,   8, 384], dtype=int32), array([439, 301, 481, 194, 208, 287, 186], dtype=int32), array([554,  50, 481, 194,  40, 183, 208,  64, 502, 376], dtype=int32), array([232, 565, 273, 237, 358, 217, 512, 234,  64, 208, 481,  29, 502,\n",
      "       481, 104, 234, 481, 321,  53,   8,  35], dtype=int32), array([232, 565, 273, 502, 196, 502, 137, 200, 529,  10, 158, 383, 439,\n",
      "       301, 481,   7,  73, 379,  40, 137], dtype=int32), array([346, 439, 301, 481, 194, 208, 137, 502, 376, 358,  13, 416], dtype=int32), array([383, 276,  32,  25, 194,  73, 137,  40,  77], dtype=int32), array([194, 208, 553, 124, 502, 452, 372], dtype=int32), array([554, 217, 512, 241,  66,  62,  77], dtype=int32), array([230, 296,  37,  25, 194, 268, 137, 249, 476], dtype=int32), array([554, 241, 481, 265, 174, 193, 270, 415, 205, 200, 543], dtype=int32), array([554,  50, 481, 421,   7, 353, 382,  73, 379,  40,  69], dtype=int32), array([ 50, 484,  43, 339, 194, 270, 208, 128, 502,  69, 248, 435, 561,\n",
      "       558, 530,  26], dtype=int32), array([439, 301, 481, 339, 194, 208, 328, 502, 452, 286], dtype=int32), array([439, 301,  32, 303, 358, 194, 208,  64, 502, 543], dtype=int32), array([439, 301,  32, 190, 105, 183, 208, 332, 569, 502, 307, 270, 358,\n",
      "        13, 518], dtype=int32), array([194, 208, 361, 502, 367], dtype=int32), array([554,  50, 481, 190, 105, 183, 208,  77, 502, 379, 358, 496], dtype=int32), array([554, 241, 481,  99, 193, 208, 137, 502, 379, 358, 248, 524, 443], dtype=int32), array([554, 241, 481, 121, 353,  13, 193, 208,  77, 502, 137], dtype=int32), array([554, 241, 481, 165, 193, 208, 379, 502, 415, 205], dtype=int32), array([439, 301, 481, 261, 193,  66, 234, 481, 174, 208,  77, 502, 132,\n",
      "       358, 248, 524, 190], dtype=int32), array([554, 241, 481, 182, 111, 566,  40, 554, 241, 481, 182, 111, 219], dtype=int32), array([276,  23, 527, 480, 196,  73,  77,  40, 415, 205], dtype=int32), array([554,  50, 481, 194, 208, 312, 502, 367, 358, 546, 335], dtype=int32), array([554, 194, 213, 208, 415, 205, 502, 543, 541, 236], dtype=int32), array([232, 565, 273, 481, 182, 358, 481, 532,  22,  11, 208, 137, 502,\n",
      "       379, 358,  49, 524], dtype=int32), array([554, 193, 241,  66,  62, 342, 208,  77, 502, 543, 554, 193, 241,\n",
      "        66,  53, 342, 208,  77, 502, 543], dtype=int32), array([230, 296, 194, 157,  37,  26, 221, 208,  77, 502,  64], dtype=int32), array([276, 339, 194, 208, 229, 502, 128, 557,  58,  72, 309], dtype=int32), array([276, 339, 194, 358, 463, 208, 332, 569, 502, 260, 539,  40, 276,\n",
      "       339, 194, 358, 463, 208, 306, 502, 260, 539], dtype=int32), array([439, 301,  26, 561, 194, 208, 379, 502,  77, 383], dtype=int32), array([ 89, 570, 439, 301, 481, 386, 353,  13, 193, 502, 543, 208,  64,\n",
      "       358, 496, 321], dtype=int32), array([439, 301, 481, 194, 208, 137, 480, 213, 502, 379,  40, 483,  64], dtype=int32), array([123, 570, 383, 439, 301,  32, 194, 208,  97, 502, 312], dtype=int32), array([532,  22,  10, 270,  77,  62,  10, 554, 241, 481,  56, 500, 234,  69], dtype=int32), array([383, 212, 301,  13, 276, 353,  32, 481, 194,  73, 128,  40,  69,\n",
      "        40, 482, 121], dtype=int32), array([554, 241, 481, 323, 176, 193, 208,  77, 502, 128, 410, 515], dtype=int32), array([346, 232, 331, 194, 270, 137, 234, 481,  20, 358, 546,  40,  60,\n",
      "       234, 415, 205], dtype=int32), array([439, 301, 481, 194, 208,  64, 502,  77], dtype=int32), array([232, 542, 502, 196, 208,  77, 502, 137, 561,  13, 458, 234, 376], dtype=int32), array([557,  25,   7,  82, 105, 194], dtype=int32), array([232, 542, 502, 213, 208,  77, 502, 351, 358, 530,  40, 268,  62,\n",
      "        10,  35, 557, 193, 438, 232, 467], dtype=int32), array([232, 565, 273, 502, 196, 358, 521, 208,  69, 502, 415, 205], dtype=int32), array([194, 480, 213, 208, 351, 502, 376, 358, 206], dtype=int32), array([554,  50, 481, 194, 208,  77, 502, 415, 205], dtype=int32), array([230, 296, 183,  50, 484, 359, 544, 208, 466, 502, 319], dtype=int32), array([232, 542, 502, 513, 208, 376, 502,  77, 358, 546,  20], dtype=int32), array([351, 502, 376], dtype=int32), array([212, 301, 194, 208, 379, 502,  69], dtype=int32), array([194, 208, 319], dtype=int32), array([230, 296, 127, 532,  22, 194,  50, 484,  73, 376,  40, 379], dtype=int32), array([554,  25,   7, 120, 192,  73,  77,  40, 137], dtype=int32), array([439, 301, 194, 208, 379, 502, 376], dtype=int32), array([557,  26, 221, 119,  73, 379,  40,  69], dtype=int32), array([554, 194,  50, 484, 208, 229, 502, 128], dtype=int32), array([194, 208, 333, 332, 245, 502, 313], dtype=int32), array([439, 194, 208,  64, 502,  69], dtype=int32), array([439, 301, 481, 261, 193, 358, 546, 208,  64, 502, 137], dtype=int32), array([217, 512, 234, 553, 124], dtype=int32), array([557,  26, 221, 190, 105, 194, 503], dtype=int32), array([ 89, 570, 439, 301, 168, 105, 359, 544, 183, 200, 194, 208, 351,\n",
      "       502, 128, 358, 134, 442], dtype=int32), array([383, 276,  66, 194, 200, 334, 416, 208, 376, 502, 128], dtype=int32), array([410, 515, 183, 208,  69, 502, 376, 529,  11, 158], dtype=int32), array([276,  32, 194,  60,  40, 139,  62, 209, 316, 239], dtype=int32), array([276, 481, 194, 208, 376, 502, 415, 205, 557, 221,  13, 266, 234, 128], dtype=int32), array([554, 194, 208, 413, 256, 104, 502, 260, 539], dtype=int32), array([189, 301, 481, 265, 407, 193, 208,  64, 502,  77, 358, 481, 414, 130], dtype=int32), array([554, 241, 481, 419, 353, 217, 512, 208, 543,  29, 240, 159], dtype=int32), array([554, 241, 175], dtype=int32), array([439, 301, 481,  66, 194, 208, 415, 205, 502,  77, 358, 345, 524, 204], dtype=int32), array([554, 194,  50, 484,  73, 543, 132,  40, 415, 205,  19,   8, 384,\n",
      "       358, 546], dtype=int32), array([232,   0, 273, 502, 213, 208,  77, 502,  64, 448,  19,   8, 384,\n",
      "        89, 570, 473, 301, 481, 194, 480, 123, 156, 480, 200, 301], dtype=int32), array([241, 484,  43, 217, 512, 502, 481, 104, 234, 128], dtype=int32), array([234, 137, 554, 252, 353, 217, 512, 241, 484, 208, 481,  29, 502, 159], dtype=int32), array([194, 208, 379, 502, 333], dtype=int32), array([473, 301,  16, 217, 512,  62, 413, 256, 104], dtype=int32), array([346, 232, 331, 194, 270, 208,  64,  40,  60, 234, 376, 358, 546, 321], dtype=int32), array([189,  13, 193, 208, 376, 502, 415, 205, 383, 358, 136], dtype=int32), array([276, 481, 507, 347, 353, 194, 502,  32,  30,  86, 136], dtype=int32), array([554,  50, 481, 103, 480,  37,  26, 429], dtype=int32), array([439, 301,  32, 481, 194, 502,  69, 208, 137, 363, 376, 363, 379], dtype=int32), array([232, 331,  13,  98, 193, 208,  69, 502, 415, 205], dtype=int32), array([439, 301, 481, 194, 208,  77, 502, 376], dtype=int32), array([ 89, 570, 276,  32, 339, 194,  73, 452, 375,  40,  97, 480, 268,\n",
      "       234, 481,  20,  40,  58, 449,  19,   8, 384], dtype=int32), array([473, 301,  16, 194, 358,  37,  26, 208, 128, 201, 564, 502, 376,\n",
      "       358, 249, 524, 337], dtype=int32), array([383, 212, 301, 481, 194,  66, 208,  77, 502, 379, 358, 546, 353,\n",
      "       334, 548], dtype=int32), array([439, 301, 410, 515, 183, 208, 379, 502, 376], dtype=int32), array([554,  50, 481, 194, 208, 415, 205, 502, 543, 132], dtype=int32), array([557, 136, 194, 138, 208, 415, 205, 222,   7,  77,  19,   9, 341], dtype=int32), array([232, 565, 273, 502, 196, 208, 379, 502,  64, 358, 532,  22,  62,\n",
      "       481, 265, 500, 385, 234, 481, 174], dtype=int32), array([439, 301,  32, 481, 194, 208, 332, 569, 502, 312], dtype=int32), array([232, 565, 273, 502,  75,  13, 193, 358, 532,  22, 190, 105, 208,\n",
      "       107, 502, 307, 358, 184, 524, 204], dtype=int32), array([554, 241, 481,  99, 498, 208,  69, 502, 415, 205, 358, 206,  65, 489], dtype=int32), array([439, 194, 208, 379, 502, 351], dtype=int32), array([554, 241, 481,  99, 182,  73, 137,  40,  77], dtype=int32), array([554, 252, 353, 217, 512, 241, 484, 234, 376], dtype=int32), array([554, 194, 213, 208, 333, 502,  77,  19,   8, 384], dtype=int32), array([554, 194, 268, 379,  40,  58, 234, 285,  41,  19,   8, 384, 358, 496], dtype=int32), array([554, 241, 481, 267, 176,  82, 105, 193,  73,  64,  40, 128], dtype=int32), array([ 89, 570, 439, 301, 481, 276, 353, 194, 480, 196, 208, 543, 502,\n",
      "       415, 205, 541, 128], dtype=int32), array([473, 301,  16, 194, 208, 452, 375,  60, 234, 506,  72, 341], dtype=int32), array([346, 232,   0, 273, 237, 358, 194, 208, 137, 502, 415, 205], dtype=int32), array([437, 194, 208, 328, 502, 452, 375], dtype=int32), array([439, 301,  32, 194, 208, 415, 205, 502, 379], dtype=int32), array([358, 518, 232,   0, 273, 502, 189,  13, 193, 208, 145, 502, 452,\n",
      "       375, 480,  59,  72,   9, 384], dtype=int32), array([ 89, 232, 213, 208,  77, 502, 415, 205, 561,  13, 459, 234, 137], dtype=int32), array([230, 324, 157, 242, 121, 502, 211, 159, 208, 481,  64,  29,  86, 275], dtype=int32), array([439, 301, 481, 194, 208, 415, 205, 502,  77], dtype=int32), array([439, 194, 208, 379, 502, 351, 117, 495, 137], dtype=int32), array([554,  37,  26, 194, 208, 378, 502, 312, 138, 378,  19,   8, 384,\n",
      "       358, 546], dtype=int32), array([439, 194, 208, 379, 240, 415, 205], dtype=int32), array([439, 301, 194, 208, 137, 502, 376], dtype=int32), array([556, 157,  91,  26, 239, 196], dtype=int32), array([556, 157, 136, 196, 502, 480,  37,   7,   5], dtype=int32), array([554, 182, 112,   7, 194, 208, 376, 502, 415, 205], dtype=int32), array([232,   0, 273,  39, 166, 321, 549, 193, 208, 415, 147, 502, 378], dtype=int32), array([557, 194, 213, 208, 379, 502,  64, 234, 481, 174], dtype=int32), array([554, 157, 532, 453, 200], dtype=int32), array([557,  26, 196, 240,  40, 369, 353, 137], dtype=int32), array([232,   0, 273, 502, 254, 481, 217, 513,  66, 234, 201, 564], dtype=int32), array([276,  32,  37,  25, 194, 557, 268, 378, 358, 546,  40, 458,  62, 312], dtype=int32), array([439, 301, 481, 194,  60, 358,  69, 358, 249, 203], dtype=int32), array([554, 194, 208, 379, 502,  64, 358, 546, 321, 429,  80], dtype=int32), array([230, 324, 157, 193, 528,  10, 208, 137, 502, 376, 121], dtype=int32), array([157,  43,  25, 354, 133, 430,  73, 137,  40,  77], dtype=int32), array([439, 301,  98, 194, 208,  69, 502, 128], dtype=int32), array([ 32, 344,  40, 530,  26, 194, 561, 460, 234, 137], dtype=int32), array([439, 301,  32, 481, 194, 369, 353,  77, 503], dtype=int32), array([ 32, 194, 208, 379, 502, 376], dtype=int32), array([276,  32, 194, 215, 208,  77, 502,  64,  72,   8, 350,  35, 358, 496], dtype=int32), array([554,   4, 481,  99, 182, 208, 415, 205, 502,  69], dtype=int32), array([276,  32, 194, 208, 423, 358, 120, 557, 138,  19,  10, 384], dtype=int32), array([232, 565, 273, 237, 358, 521, 194, 208, 543, 502, 376], dtype=int32), array([232, 542, 502, 196, 208, 137, 502, 415, 205], dtype=int32), array([439, 194, 358, 532,  22, 208, 379, 502, 351, 117, 495, 137], dtype=int32), array([230, 181, 241, 159, 208, 481,  29, 234, 128], dtype=int32), array([ 40, 193, 208, 351, 502,  77, 270,  19, 309], dtype=int32), array([232, 331, 502, 467, 474, 374, 208, 137, 502, 415, 147, 561,  13,\n",
      "       459, 234, 378, 383, 212, 301, 481, 194], dtype=int32), array([439, 301,  32, 194, 208,  69, 502, 415, 205], dtype=int32), array([232, 565, 273,  13, 498, 270, 208, 137, 113, 502,  64, 210, 561,\n",
      "        13, 458, 234, 379], dtype=int32), array([554, 194, 268, 208,  64, 502,  77, 358, 249, 524, 337, 234, 481,  20], dtype=int32), array([157, 311, 178, 427, 319], dtype=int32), array([ 32, 194, 208,  77, 502, 543, 132, 358, 345, 476], dtype=int32), array([554,  50,  32, 481, 194,  66,  73, 379,  40, 128, 201, 564], dtype=int32), array([232, 542,  32, 194, 208,  64, 502, 543, 132, 358, 496], dtype=int32), array([232, 565, 273, 237, 358,  43, 194, 208, 415, 205, 502, 379,  60,\n",
      "       234, 379,  72,   8,  35, 518, 321], dtype=int32), array([241, 484,  13, 193, 358, 136,  26, 208,  77, 502, 137], dtype=int32), array([232,  34, 331, 430, 208, 128, 502,  77,  60,  86, 341], dtype=int32), array([ 89, 570, 439, 301, 481,  66, 194, 208,  69, 502, 128, 561, 168, 183], dtype=int32), array([189, 481,  99, 359, 544, 182, 208,  77, 502, 415, 205], dtype=int32), array([232, 565, 273, 502,  75,  13, 193, 208, 285,  41, 502, 379, 358,\n",
      "       249, 190], dtype=int32), array([136, 194, 208, 415, 205, 383], dtype=int32), array([232,   2, 238, 234, 410, 515, 194, 208,  77, 502, 543], dtype=int32), array([357, 232,   0, 273,  13, 339, 193, 208, 229, 502, 306, 480,  59,\n",
      "       234, 306, 234, 481, 166,  20, 358, 518, 249, 190], dtype=int32), array([127, 194, 208, 333, 502, 107, 139,   8, 350, 384], dtype=int32), array([333, 502, 107], dtype=int32), array([232, 331,  13, 193,   7, 208,  97, 502, 260, 539, 561,  13, 458,\n",
      "       234, 452, 286,  40, 232, 542, 150], dtype=int32), array([189, 513,  55, 200,  13, 410, 515, 193, 208,  77, 502, 379], dtype=int32), array([439, 301, 359, 544, 194, 208, 471, 502, 452, 286, 139,  72,   9,\n",
      "        35, 190, 105], dtype=int32), array([ 40, 554,  50, 481, 194, 208, 328, 502, 466, 358, 481, 170,  21], dtype=int32), array([232, 331,  13, 193, 136,  26, 251, 104, 502, 413, 256], dtype=int32), array([554, 194, 213, 208, 128, 502, 137,  19,   8, 384], dtype=int32), array([554, 241, 481, 386, 353,  82, 105, 208,  77, 502, 415, 205, 358, 521], dtype=int32), array([554,  50, 481, 525,  37,  26, 194, 480, 268, 208, 128, 502, 415,\n",
      "       205, 234, 481, 174], dtype=int32), array([554, 194,  50,  66, 504, 208, 137, 502, 376], dtype=int32), array([554,  50, 481, 194, 208, 376, 502, 128, 358, 352, 190,  11], dtype=int32), array([439, 301,  32, 194, 208, 378, 502, 312, 334, 546], dtype=int32), array([554, 241, 481, 305, 353, 182, 111, 394,  40, 393], dtype=int32), array([123, 570, 383, 212, 301, 481, 410, 515, 182, 208, 137, 502,  64], dtype=int32), array([193, 270, 100, 502, 328], dtype=int32), array([554, 241, 481, 182, 208, 415, 205, 502, 128, 201, 564, 358, 136,\n",
      "       193,  10], dtype=int32), array([554, 241, 481, 217, 512, 234, 415, 147], dtype=int32), array([230, 324, 241, 481,  10,  35, 193, 208, 260, 539, 502, 332, 569, 521], dtype=int32), array([230, 181, 241, 242, 208, 367,  29, 502, 367], dtype=int32), array([232, 331,  13, 193, 208, 332, 569, 104, 502, 319, 504], dtype=int32), array([554, 194, 268, 415, 205,  19,   8, 384,  40, 213, 502, 128, 201, 564], dtype=int32), array([554, 194, 208, 452, 286, 502, 452, 372, 358, 496, 270,  19,   9,  35], dtype=int32), array([554, 157, 405,  45,   9, 304], dtype=int32), array([ 32, 194, 208,  69, 502,  64,  73,   8, 350,  40,   8, 350, 234,\n",
      "       481,  20], dtype=int32), array([232, 565, 273,  13, 276, 353, 410, 515, 194,  73, 236,  40, 367,\n",
      "       195, 200, 481, 524, 435,  40, 481, 524, 171, 353, 134], dtype=int32), array([383, 276,  32, 194, 518, 128,  64], dtype=int32), array([276,  32, 410, 515, 183, 208, 378, 502, 543], dtype=int32), array([554, 252, 353,  27, 241, 193, 528,  10, 208, 137, 502, 376], dtype=int32), array([157,  43,  25, 221,  13,   7, 193,  73, 379,  40,  69], dtype=int32), array([554, 194,  50,  66, 208, 376, 502, 137, 358, 464], dtype=int32), array([439, 301, 194, 208,  69, 502, 376,  60,  19,  11], dtype=int32), array([208, 260, 539, 502, 378, 139, 234, 481, 321], dtype=int32), array([ 32, 530,  26, 194, 561, 460, 234, 137], dtype=int32), array([276,  32, 481, 194, 480,  58,  62, 209, 316, 239, 208, 538, 103], dtype=int32), array([276, 194, 208, 415, 205, 502, 137, 358, 206], dtype=int32), array([208, 319, 502, 260, 539], dtype=int32), array([554, 252, 353,  27, 214, 208,  77, 502, 415, 205,  72, 341], dtype=int32), array([383, 439, 301, 217, 512, 234, 137], dtype=int32), array([276, 481, 194, 208, 376, 502, 415, 205, 541, 128], dtype=int32), array([554, 194, 268, 378, 358,  37,  26], dtype=int32), array([137, 502, 415, 205, 546], dtype=int32), array([156, 570, 221,  13, 193, 208,  64, 502,  77, 480, 559, 458, 234, 543], dtype=int32), array([554, 241, 405,  45,   9], dtype=int32), array([194, 208, 379, 502,  69,  60,  73,   8,  40,   8, 384], dtype=int32), array([554, 241, 481, 265, 193, 208, 413, 256, 104, 502, 452, 375], dtype=int32), array([554, 190, 105, 194,  50,  66, 208, 137, 502,  69, 358, 248, 524,\n",
      "       188,  11], dtype=int32), array([212, 301, 481, 194, 208, 379, 502, 285,  41, 358, 496, 174], dtype=int32), array([232, 331, 263, 193, 546, 208, 351, 502, 413, 256, 104], dtype=int32), array([439, 301, 481, 194, 215, 208, 379, 502, 415, 205, 358, 317], dtype=int32), array([383, 276, 481, 193, 419, 208,  69, 502, 415, 205, 358, 206,   7], dtype=int32), array([554,   4, 481,  99, 359, 544, 193, 208, 351, 502, 543, 132], dtype=int32), array([554,  50, 481, 194, 208, 260, 539, 502,  81,  34, 358, 416, 299,\n",
      "       524, 525], dtype=int32), array([276, 217, 512, 362,  62, 378], dtype=int32), array([232, 331, 237, 193, 237, 200, 518, 358,  13, 193, 270,  69,  79,\n",
      "       200, 128], dtype=int32), array([554, 241, 481, 526, 353,  23, 200, 530, 193,   9], dtype=int32), array([194, 208, 332, 569, 502, 307], dtype=int32), array([ 32, 194, 208, 543, 132, 502, 415, 205, 358, 345, 522], dtype=int32), array([ 39,  37,  26, 193, 190, 105, 208, 376, 502, 128], dtype=int32), array([439, 301, 481, 194, 208,  69, 502,  77], dtype=int32), array([416, 194, 208, 260, 539, 502, 319], dtype=int32), array([ 50, 484,  43, 152, 194, 208,  64, 502, 376,  60, 234, 376,  16,\n",
      "         9, 341], dtype=int32), array([554, 193, 156, 570, 221, 208, 379, 502, 415, 205, 358, 481, 321,\n",
      "       353,  65, 524, 435], dtype=int32), array([439, 301, 194, 208,  69, 502, 376, 383], dtype=int32), array([ 99, 182, 208, 328, 502, 423], dtype=int32), array([232, 565, 273, 237, 358, 194, 208, 137, 502, 415, 205,  19, 341,\n",
      "       358, 546], dtype=int32), array([ 32, 410, 515, 194,  73, 332, 569,  40, 307,  82, 105, 182], dtype=int32), array([241, 484,  13, 193, 270,  62,  11, 208, 379, 502,  69, 358, 248,\n",
      "       524, 188,  11], dtype=int32), array([327, 353,  30], dtype=int32), array([439, 301, 481, 194, 208,  64, 502, 137, 358, 206], dtype=int32), array([439, 301, 481, 165, 193, 208, 107, 502, 306], dtype=int32), array([554, 241, 481, 347, 353, 190, 105, 194, 358,  37,  26], dtype=int32), array([554, 194,  50, 208, 306, 502, 260, 539], dtype=int32), array([190, 105,  37, 193, 208, 376, 502, 128, 358, 546], dtype=int32), array([177, 481, 405,  45,   9], dtype=int32), array([439, 301, 481, 194, 208, 379, 502, 128], dtype=int32), array([232, 331,  13, 193, 208, 236, 502, 506, 397, 506, 358, 496, 321], dtype=int32), array([217, 512, 351], dtype=int32), array([156, 570, 221,  43, 194, 208, 137, 502,  69, 541, 128], dtype=int32), array([156, 570, 221,  43, 194, 208, 100, 502, 236], dtype=int32), array([554,  50, 481,  99, 410, 515, 194, 208, 137, 502, 379], dtype=int32), array([232,   0, 273, 502, 189,  13, 193,  73, 128,  40, 376], dtype=int32), array([554,  50, 481, 194, 208,  69, 502, 128, 358, 463, 335], dtype=int32), array([554, 241, 481, 410, 515, 494, 182, 358, 532,  22, 208,  77, 502,\n",
      "       415, 205], dtype=int32), array([230, 296, 374, 191, 358,  13,   7], dtype=int32), array([276, 339, 194, 208,  81, 502, 137,  60,  86,   8, 384], dtype=int32), array([232, 331, 237, 358, 193, 208,  64, 502, 137], dtype=int32), array([439, 301, 481, 194,  60,  62, 287, 186, 208, 368,  30], dtype=int32), array([557,  26, 427, 137], dtype=int32), array([565, 570, 473, 301, 481,  99, 359, 544, 182, 208,  77, 502, 351], dtype=int32), array([276, 481, 194,  40, 500, 353,  56, 200, 194,  60, 234, 128, 201,\n",
      "       564, 208,  77,  72, 341], dtype=int32), array([276,  32, 194, 358, 120, 270, 423, 358, 463,  19,  10, 384], dtype=int32), array([556, 157, 193, 528,  10, 208,  77, 502, 351, 458], dtype=int32), array([234, 379, 232,   0, 273, 502, 398,  13,  93], dtype=int32), array([ 99,  24, 208, 466, 502, 367], dtype=int32), array([234, 193, 302, 351, 502, 376, 416], dtype=int32), array([383, 439, 301, 194, 208, 128, 502, 137], dtype=int32), array([232,   0, 273, 194, 358,  37,  26, 208, 376, 502, 128,  60,  72,\n",
      "        11,  35], dtype=int32), array([554, 157, 182, 111, 391, 304], dtype=int32), array([241, 521, 193,  12, 208, 452, 375, 502, 312, 561, 359, 458,  66,\n",
      "       504, 321], dtype=int32), array([554, 157, 405,  45,   9, 304], dtype=int32), array([554, 241, 481, 165, 530,  26, 193, 197, 208, 137, 502,  69,  40,\n",
      "        60, 358, 248, 204], dtype=int32), array([232, 565, 273,  13, 276, 353, 481, 410, 515, 194,  73, 236,  40,\n",
      "       367, 358, 481, 524, 435, 363, 481, 524, 171, 353, 134], dtype=int32), array([232, 565, 273, 481, 193, 347,  40, 481, 500, 200, 481,  99, 182,\n",
      "       480, 241, 481, 267, 176, 190, 105, 182, 208, 415, 205, 502, 379,\n",
      "       270,  19,   8, 384, 317, 335], dtype=int32), array([415, 205, 502, 137], dtype=int32), array([276, 276, 194,  73, 351,  40, 137], dtype=int32), array([439, 301,  32, 194,  73,  77,  40, 543], dtype=int32), array([554, 241, 481,  14,   7], dtype=int32), array([156, 570, 221,  13, 335, 193, 208, 543, 502,  77, 358,  65, 524, 435], dtype=int32), array([237, 358, 194, 208,  69, 502, 376], dtype=int32), array([193, 208, 137, 502, 128, 201, 564], dtype=int32), array([232,   0, 273, 502, 213, 208,  77, 502, 137,  62,   8, 350, 416, 335], dtype=int32), array([232, 565, 273,  13, 193, 208, 506, 502, 415, 147, 480, 462, 234,\n",
      "       251, 104], dtype=int32), array([439, 301, 194, 208, 332, 569, 502, 307], dtype=int32), array([241, 484,  13, 263,  20, 193, 270, 543, 200, 137], dtype=int32), array([554,   4, 481,  99, 410, 515, 182,  73,  77,  40, 543], dtype=int32), array([232, 565, 273,  13, 193, 208, 376, 502, 128,  58, 128,  16,   9, 341], dtype=int32), array([383, 212, 301,  32, 194, 208, 282,  71, 502, 306], dtype=int32), array([232,   0, 273, 502, 213, 208,  77, 502, 379, 502, 189, 481,  99, 193], dtype=int32), array([554,   4, 481, 165, 193, 208,  77, 502,  85, 480, 429, 290], dtype=int32), array([153,  32, 194, 208, 415, 205, 502,  77, 358,  65, 171], dtype=int32), array([276, 194, 208, 376, 502, 128], dtype=int32), array([321, 194, 208, 379, 502,  64, 358, 546], dtype=int32), array([557,  25, 220, 481, 444, 381, 270, 379,  40,  60, 234,  69, 358,\n",
      "       248, 204], dtype=int32), array([557, 193,  73, 379,  40,  69, 358, 248, 336, 220, 481, 444, 421,  92], dtype=int32), array([473, 301,  16, 194, 208, 413, 256, 104, 502, 452, 375], dtype=int32), array([  7, 272,   4, 425, 157, 167,  25, 221,  13, 193, 208,  64, 502, 543], dtype=int32), array([554, 241, 481, 121, 353,  13, 193, 208,  77, 502, 415, 205], dtype=int32), array([  7, 194, 208, 376, 502, 128, 461, 234,   7], dtype=int32), array([241, 484,  13, 193, 358,  37,  26, 215, 208,  77, 502, 415, 205,\n",
      "       358, 249, 524, 171], dtype=int32), array([217, 512, 376], dtype=int32), array([189, 481, 194, 270, 128,  40, 215, 502, 415, 205, 480, 268,  19,\n",
      "         8, 384], dtype=int32), array([439, 301, 481, 174, 194, 208,  69, 502,  64], dtype=int32), array([554, 344, 194, 268, 137,  72, 341], dtype=int32), array([473, 301,  16, 217, 512,  73, 481, 128, 201, 564,  29,  40, 159, 128], dtype=int32), array([554, 241, 481,  99, 193, 208, 379, 502,  64], dtype=int32), array([212, 301, 481, 194, 208, 306, 475, 502,  97, 343,  94], dtype=int32), array([241, 484, 512, 208, 481,  64,  29, 502, 159,  64], dtype=int32), array([212, 301, 481, 165, 193, 504, 358, 344,  26, 208, 452, 375, 502, 312], dtype=int32), array([439, 301, 481, 194, 208, 379, 502, 415, 205, 358, 206], dtype=int32), array([439, 301,  32, 194, 208, 332, 569, 502, 307, 270, 358,  13, 518,\n",
      "        40, 439, 301,  32, 194, 208, 307, 502, 332, 569, 270, 358, 463], dtype=int32), array([439, 301, 481, 194, 208, 452, 375, 502, 413, 256, 104, 480,  58,\n",
      "        72, 341], dtype=int32), array([208, 379, 502,  69], dtype=int32), array([ 50, 484,  43, 368, 194, 208,  77, 502, 379, 546, 334, 548, 264,\n",
      "       478,   8, 384], dtype=int32), array([554,  50,  32, 194, 208, 137, 502, 376, 358, 416], dtype=int32), array([554,   4, 481, 288, 410, 515, 182, 208,  64, 502,  85], dtype=int32), array([276, 481, 194,  60, 234,  77, 208,  64, 358,  65, 188], dtype=int32), array([232, 331,  13, 193, 208, 376, 502, 137], dtype=int32), array([383, 212, 301, 410, 515, 183, 208,  69, 502, 376], dtype=int32), array([439, 301,  32, 194, 208, 415, 147, 502, 332, 569, 536, 133], dtype=int32), array([554, 194,  50,  66, 208, 379, 502, 351,  29], dtype=int32), array([212, 301, 194, 208,  64, 502,  69], dtype=int32), array([276,  37,  26, 194, 208, 333, 502, 328], dtype=int32), array([554, 194, 196, 208, 137, 502, 415, 205, 358, 317, 518, 546, 496,\n",
      "        40, 206], dtype=int32), array([189, 301, 481, 165, 193, 208,  77, 502,  64, 358,  43, 130, 353,\n",
      "       481, 548], dtype=int32), array([554, 194, 208, 506, 502, 376], dtype=int32), array([217, 512, 137], dtype=int32), array([276, 481, 194, 208,  69, 502, 423, 480, 458, 234, 313], dtype=int32), array([189,  13, 193, 208, 506, 502, 415, 147, 561,  13, 266, 234, 415,\n",
      "       205, 358,  22,  90], dtype=int32), array([ 50, 484,  43, 339, 194, 208, 376, 502, 137, 480,  58,  72,   8, 384], dtype=int32), array([554,  50,  32, 317, 194, 208, 137, 502, 415, 205, 358, 530,  26], dtype=int32), array([554, 241, 481, 267, 176,  82, 105, 193,  73,  77,  40, 415, 205], dtype=int32), array([ 89, 570, 473, 301,  16, 194, 208, 415, 247, 502, 328, 358, 416,  20], dtype=int32), array([439, 301, 481, 194, 208, 376, 502, 128, 561, 359, 458], dtype=int32), array([554,  50, 182, 112, 393,  40, 394], dtype=int32), array([554, 253, 353, 382,  50, 534,  86,  37,  26], dtype=int32), array([ 40, 232,   1, 331, 217, 512, 200, 518, 248, 443, 502, 546, 248,\n",
      "       435, 234, 415, 147], dtype=int32), array([383, 276,  32, 190, 105, 194, 358, 530, 208, 137, 502,  69], dtype=int32), array([232, 542, 502,  58, 234, 145,  53,   8, 384,  40, 232,   2, 270,\n",
      "       208, 100], dtype=int32), array([439, 301, 481, 194, 208,  64, 502,  85], dtype=int32), array([439, 301, 194, 208, 137, 502,  64, 358, 249, 442], dtype=int32), array([194, 208, 319, 502, 260, 539], dtype=int32), array([212, 301, 481, 120, 194, 208, 100, 502, 423, 358, 416, 321], dtype=int32), array([ 89, 570, 439, 301, 174, 194, 208, 328, 502, 229, 480, 427, 150], dtype=int32), array([ 50, 484,  43, 194, 358, 532,  22, 208, 379, 502,  64, 358, 546], dtype=int32), array([439, 301, 481, 194, 208, 376, 502,  69], dtype=int32), array([232, 565, 273, 447, 237, 358, 194, 270,  77, 502,  64], dtype=int32), array([509, 502, 333], dtype=int32), array([241, 484,  13, 193, 504, 321, 208, 114, 502, 328], dtype=int32), array([232, 565, 273, 502, 189, 194, 208, 313, 502, 282,  71,  19,   8,\n",
      "       350, 358, 317, 249, 203, 383], dtype=int32), array([554, 194,  89, 232, 189, 208, 379, 502, 415, 205,  19,   8,  35], dtype=int32), array([232,   2, 402, 193, 237, 358,  13, 193, 208, 415, 205, 502, 379,\n",
      "       358, 206], dtype=int32), array([232,   0, 273, 502, 189, 481, 165, 193, 385, 208, 415, 205, 502,  64], dtype=int32), array([230, 296, 194, 157,  37,  26, 221, 561,  13, 105, 353, 430, 111, 179], dtype=int32), array([439, 194, 190, 105, 358,  37, 208, 376, 502, 128, 201, 564], dtype=int32), array([157, 193, 155,  11, 208, 376, 502, 137, 196, 358, 417], dtype=int32), array([212, 301, 481, 194, 200,  37,  25, 208, 128, 502, 415, 205], dtype=int32), array([439, 301, 481,  37,  25, 194, 270, 378, 358, 546,  40,  60, 234, 312], dtype=int32), array([554, 241, 481, 121, 353,  13, 410, 515, 498, 197, 208,  77, 502,\n",
      "       128, 128, 502, 351, 270, 248, 190], dtype=int32), array([326, 481, 165, 193, 208,  77, 502, 415, 205], dtype=int32), array([554,   4, 481, 265, 193, 232,  89, 211, 208, 128, 502,  77], dtype=int32), array([194, 208, 378, 502, 312], dtype=int32), array([557, 194,  50, 484, 358, 518, 208, 415, 205, 502, 379], dtype=int32), array([554, 241, 481, 154, 208, 255, 218, 502, 332, 569,   4, 159], dtype=int32), array([189, 301,  13, 193, 208,  64, 502,  69], dtype=int32), array([554, 526, 353,  23, 241, 534, 358, 481, 190, 193, 208, 376, 502,\n",
      "       128, 234, 481, 321], dtype=int32), array([232, 542, 502, 513, 208, 251, 104, 502, 452, 372,  40,  70, 484,\n",
      "        86, 151], dtype=int32), array([554,  50, 571, 194, 208, 128, 502,  69], dtype=int32), array([554, 194, 208, 251, 104, 502, 100, 268, 334, 546, 408, 481, 199, 130], dtype=int32), array([557, 194,  50,  73,  77,  40,  69, 543], dtype=int32), array([276, 127, 194, 208, 351, 502,  77, 536, 521], dtype=int32), array([276,  32, 130, 500, 194, 208, 379, 502,  77], dtype=int32), array([232, 542, 502, 425, 481,  99, 193, 208, 137, 502, 379], dtype=int32), array([439, 301, 481, 122,  40, 501, 200, 194, 208, 415, 205, 502,  64], dtype=int32), array([193, 208, 137, 502, 376], dtype=int32), array([232,   0, 273, 502, 213, 208,  77, 502, 415, 205], dtype=int32), array([554, 194, 208, 452, 372, 502, 251, 104, 358, 206, 561, 290, 428], dtype=int32), array([554,  20, 194,  50,  66, 208, 379, 502,  64, 358,  13, 549], dtype=int32), array([554,  50, 481, 194, 208,  77, 502, 137, 358, 518, 352, 187], dtype=int32), array([351, 502, 137], dtype=int32), array([226, 232,   2,   7, 208,  77, 232,   0, 273, 502, 293,  13, 193,\n",
      "       502, 172, 367, 363, 285,  41], dtype=int32), array([156,  43, 532,  22, 194, 268, 208, 415, 205], dtype=int32), array([232, 565, 273, 502, 196, 208, 452, 372, 502, 415, 247, 317, 321,\n",
      "       208, 415, 247, 502, 229, 518, 321,  40, 208, 229, 502, 452, 372,\n",
      "       358, 546, 321], dtype=int32), array([212, 301, 194, 208,  69, 502, 137, 358, 530, 480, 354, 190, 105], dtype=int32), array([189,  32, 194, 208, 376, 502, 128, 461, 234,  64], dtype=int32), array([439,  32, 546, 321, 194, 208, 137, 502,  77], dtype=int32), array([554, 194,  89, 232, 467,  73,  77,  40,  64, 446, 480, 555, 232,\n",
      "       268,  77, 232, 559, 221, 481, 298,  38, 353, 500, 358, 481, 217,\n",
      "       234,  64,  40, 457, 407, 234, 481, 414, 130], dtype=int32), array([554, 194, 213, 208, 415, 205, 502, 137, 358,   7], dtype=int32), array([232,   0, 273, 237, 358,  32, 481, 194, 208, 415, 205, 502, 379,\n",
      "       358, 518], dtype=int32), array([230, 296, 194, 157, 163,  25, 221, 561,  76, 105,   7], dtype=int32), array([554, 241, 571,  99, 193, 208, 379, 502, 137], dtype=int32), array([554,   3, 481, 288, 359, 544, 183, 208, 137, 502,  64], dtype=int32), array([379, 502,  69, 383, 358, 244, 359], dtype=int32), array([383, 212, 301, 481, 387, 200,  32, 194, 208, 376, 502, 137,  29,\n",
      "       334, 463], dtype=int32), array([554, 241, 481, 154, 208, 415, 205, 239,  29, 502, 415, 205], dtype=int32), array([439, 301,  32, 194, 208,  77, 502, 379, 358, 546,  19,   8, 350, 384], dtype=int32), array([189, 301,  13, 193, 208,  77, 502, 415, 205, 561, 266, 234, 137,\n",
      "       358, 530], dtype=int32), array([554,  26, 196, 208,  81, 502, 137], dtype=int32), array([439, 301,  32, 481, 289, 194,  73, 376,  40, 137], dtype=int32), array([439, 301,  30, 330, 543, 132], dtype=int32), array([325,   7, 241, 232, 542, 502, 213, 502, 415, 205,  40, 232, 278,\n",
      "       234, 137,  40, 232, 565, 273, 502, 196, 358, 530,  26, 156, 570,\n",
      "       221,  39, 166, 193], dtype=int32), array([241, 484,  13, 339, 193, 208, 137, 502, 415, 205], dtype=int32), array([232, 542, 502, 213, 208,  77, 502, 543, 358, 317, 321], dtype=int32), array([554, 194, 208, 260, 539, 502, 378, 358, 416], dtype=int32), array([556, 241, 209, 316, 239, 280], dtype=int32), array([439, 301, 194,  73, 306,  40, 260, 539, 358, 463], dtype=int32), array([189, 481, 194, 208,  77, 502, 415, 205, 270,  19,   8, 384], dtype=int32), array([232, 331,  39, 166, 193, 208, 128, 502, 229], dtype=int32), array([555, 241, 481, 190, 193, 234, 481, 321, 208,  77, 502, 137], dtype=int32), array([177, 182, 111, 394], dtype=int32), array([439, 301, 501, 200, 110, 194,  73,  77,  40,  69, 358, 546], dtype=int32), array([276, 530, 194, 208, 137, 502, 415, 205, 358, 519, 363, 547], dtype=int32), array([554,  50, 481, 321, 194, 234, 481, 334, 525, 131, 208, 328, 502, 466], dtype=int32), array([439, 301,  25,  15], dtype=int32), array([439, 301,  32, 194, 208, 312, 502, 367, 359, 544], dtype=int32), array([358,  49, 443, 232, 565, 273, 502,  75,  39, 166, 321, 193, 208,\n",
      "       471, 502,  97], dtype=int32), array([232, 542,  13, 193, 208, 282,  71, 502, 452, 286, 480, 462, 234, 128], dtype=int32), array([439, 301, 194, 208, 423, 502, 415, 205, 480, 268,  19,   8, 384], dtype=int32), array([276, 200, 301, 360, 481, 530, 194,  73, 137,  40, 351], dtype=int32), array([439, 301, 481,  26, 200, 194, 502, 363, 208, 287, 186], dtype=int32), array([232, 565, 273, 481, 190, 193, 208, 506, 502, 319, 334, 206], dtype=int32), array([232,   0, 273, 502, 425,  32, 194, 208, 379, 502, 376,  21], dtype=int32), array([439, 301, 217, 512, 234, 553, 124], dtype=int32), array([230,  16, 194, 270, 415, 205,  40,  60, 234,  77, 200,  43, 130], dtype=int32), array([439, 301, 194, 137, 502, 543, 132, 358, 496], dtype=int32), array([232, 542,  13, 193, 208, 285,  41, 502,  97, 480, 269, 358,  13,\n",
      "       549, 321], dtype=int32), array([230, 296, 136, 194, 268, 208, 543], dtype=int32), array([232,   0, 273, 502,  84,  13, 110, 105, 498, 208, 137, 502,  64,\n",
      "       561,  13, 459, 234, 379], dtype=int32), array([554, 241, 481, 165, 193, 208, 137, 502, 415, 205, 358, 481, 321,\n",
      "       353,  65, 524, 435], dtype=int32), array([165, 193, 208,  64, 502, 376], dtype=int32), array([ 32, 194,  40, 183, 208, 128], dtype=int32), array([554, 174, 194, 156, 570, 221,  66, 208,  69, 502, 376], dtype=int32), array([554, 252, 353, 217, 512, 241,  66, 234, 137], dtype=int32), array([383,  75, 200, 301,  13, 193, 358, 521, 208, 543, 132, 502, 415,\n",
      "       205, 165, 385, 500], dtype=int32), array([439, 301, 194, 208, 415, 205, 502,  64], dtype=int32), array([157, 167,  26, 196,  73,  77,  40, 543], dtype=int32), array([346, 232, 331, 193, 237, 270,  64,  40,  60, 234,  69, 234, 481,  20], dtype=int32), array([241, 484,  13, 193, 358, 521, 208,  69, 502, 415, 205, 561,  13,\n",
      "       458, 234, 137], dtype=int32), array([230, 296, 190, 105, 194,  50, 389,  86,  37,  26], dtype=int32), array([276,  32, 532,  22, 194, 208, 307, 502, 107, 270, 358, 463,  20], dtype=int32), array([554,  26, 221, 194, 208,  69, 502, 423], dtype=int32), array([232, 565, 273,  39, 166, 321, 339, 193, 208, 332, 569, 502, 260,\n",
      "       539, 358, 184, 524, 171], dtype=int32), array([232,   0,  34, 273, 502, 425,  13, 276, 353, 481, 194, 208, 379,\n",
      "       502,  64], dtype=int32), array([ 50, 484,  43,   8, 350, 194, 208, 543, 502, 137], dtype=int32), array([439, 301, 481, 182, 208, 128, 502, 415, 205], dtype=int32), array([439, 301, 194, 208, 128, 502, 415, 205, 358, 547], dtype=int32), array([554, 157, 185, 304], dtype=int32), array([554, 241, 481, 267, 176, 359, 544, 182,  73, 376,  40,  77], dtype=int32), array([276, 481, 194, 480,  58,  40, 138, 208, 209, 316, 239,  29], dtype=int32), array([189, 513,  55, 200,  13, 410, 515, 193, 208, 128, 502, 379,  60,\n",
      "        19,   8, 384,  72,   9, 384], dtype=int32), array([439, 301, 410, 515, 183, 208, 415, 247, 502, 413, 256, 104], dtype=int32), array([383, 276,  32, 481, 194, 208,  77, 502, 415, 205, 270,  72,   9,  35], dtype=int32), array([276, 288, 121, 193, 208, 128, 502,  69, 480, 429,  13, 302], dtype=int32), array([189, 513,  55, 200,  13, 359, 544, 193, 208, 415, 205, 502, 128], dtype=int32), array([232, 565, 273, 502, 513, 208,  77, 502, 137], dtype=int32), array([554,   4, 481,  92, 353,  39, 180], dtype=int32), array([554,  50, 481, 183,  73, 332, 569,  40, 255, 358, 317, 321], dtype=int32), array([212, 301,  37,  26, 208, 312, 502, 378, 358, 416,  40, 463], dtype=int32), array([232, 331,  13, 193, 208, 137, 502, 376], dtype=int32), array([232, 565, 273,  13, 193, 208, 376, 502, 128], dtype=int32), array([554,   7, 353, 217, 512, 241, 484, 234, 543, 132], dtype=int32), array([299, 232, 383, 425,  26,  40, 193, 348, 208, 332, 569, 502, 506,\n",
      "       358, 481, 414,   7, 249, 434,  34,  60, 234, 506,  72, 341, 479, 570], dtype=int32), array([554, 194, 208, 471, 502, 102], dtype=int32), array([232, 565, 273, 502, 513, 208, 543, 132, 502, 379, 358,  65, 523], dtype=int32), array([230, 324, 157, 242, 121, 502, 196, 208,  77, 502,  64], dtype=int32), array([232, 542, 502, 196, 376, 502, 128, 358, 248, 171], dtype=int32), array([241, 484,  13, 193,  53,   8, 384, 208,  97, 502, 313], dtype=int32), array([232,   0, 273, 502,  54, 200, 525, 207, 502, 196, 240, 285,  41,\n",
      "       334, 416, 174, 359, 353, 481, 374, 241, 115, 208, 251, 104,  40,\n",
      "       481, 368, 241, 115, 208, 260, 539], dtype=int32), array([194, 208, 251, 104, 502, 107, 358, 546,  60,  72,   8, 384], dtype=int32), array([ 32, 410, 515, 194,  73, 332, 569,  40, 307, 110, 182], dtype=int32), array([439, 301, 334, 546,   4, 194,  73, 378,  40, 312], dtype=int32), array([232, 542, 502, 196, 208, 251, 104, 502, 100, 334, 546,  60, 234,\n",
      "       481, 174,  40, 408, 481, 334, 130], dtype=int32), array([232, 542, 502, 196, 208,  69, 502, 376], dtype=int32), array([410, 515, 183, 208,  69, 502, 376, 271, 478,  11, 158, 410, 515,\n",
      "       183, 208, 137, 502, 376, 271, 478,  11, 158, 410, 515, 183, 208,\n",
      "       379, 502, 376, 271, 478,  11, 158], dtype=int32), array([554,   4, 481, 265, 193, 208, 415, 247, 502, 229], dtype=int32), array([351, 502, 376, 416], dtype=int32), array([554, 193, 156, 570, 221, 208,  64, 502, 128, 358,  65, 524, 435,\n",
      "       234, 481, 321], dtype=int32), array([554, 501, 157, 120, 138, 208,  77, 502, 415, 205], dtype=int32), array([241, 481,  37, 193,  10, 208,  77, 502, 351,  13, 193, 480, 214,\n",
      "         7, 495, 208,  77, 502, 351, 563, 461,  62,  42, 104], dtype=int32), array([232,   2, 197, 208,  77, 502, 128], dtype=int32), array([439, 301, 481, 194, 208, 128, 502,  64], dtype=int32), array([554, 241, 481, 165, 193, 197, 208, 379, 502,  64, 358, 248, 188], dtype=int32), array([554, 241, 481, 182, 215, 208,  69, 502,  64, 359, 544, 358, 345, 435], dtype=int32), array([554, 217, 512, 241,  66, 208, 481, 379,  29, 502, 481,   7], dtype=int32), array([439, 301, 194, 208, 379, 502,  64, 358, 317,  20], dtype=int32), array([ 64, 502, 379, 248, 524, 487], dtype=int32), array([439, 301,  32, 194, 208, 415, 205, 502, 351], dtype=int32), array([232,   2,   7,  13, 515, 502, 379,  40, 232, 278, 234, 137,  89,\n",
      "       570, 224, 301], dtype=int32), array([217, 512,  69], dtype=int32), array([439,  32, 194, 270, 317, 321, 208,  77, 502, 379], dtype=int32), array([554, 241, 481, 267, 176, 193, 208, 379, 502,  64, 270, 358, 352, 188], dtype=int32), array([439, 301, 194, 208, 137, 502,  77, 358, 518], dtype=int32), array([208, 543, 132, 502, 376, 139, 234, 481,  20], dtype=int32), array([439, 481, 194, 208, 137, 502, 415, 205], dtype=int32), array([346, 232,   0, 273, 194, 208, 376, 502, 379, 270,  73,  10,  40,\n",
      "        10, 384], dtype=int32), array([383, 276, 481, 194, 208,  69, 502, 415, 205, 358,   7], dtype=int32), array([241, 484,  13, 193, 270, 208,  77, 502,  64], dtype=int32), array([232, 331, 502, 189,  13, 381, 208,  77, 502, 415, 205, 358, 206], dtype=int32), array([232,   0, 273,  13, 530,  26, 193, 358, 546, 208, 415, 205, 502,  77], dtype=int32), array([230, 282, 241, 481, 193, 208,  64, 502, 415, 205,  62, 341, 358,\n",
      "       345, 435], dtype=int32), array([232,   2, 284, 200, 194, 208, 351, 502,  64, 270,  72,  11,  35], dtype=int32), array([439, 301, 481,  99, 410, 515, 183, 208, 415, 205, 502, 413, 256, 104], dtype=int32), array([554, 241, 481,  99, 410, 515, 182,  73,  77,  40, 415, 205], dtype=int32), array([439, 301, 217, 512, 237, 200, 379], dtype=int32), array([217, 512, 128], dtype=int32), array([554,  50, 481, 194, 128, 502,  77, 358, 317, 321], dtype=int32), array([439, 194, 208, 128, 502, 351], dtype=int32), array([554, 157, 111, 566, 453, 200], dtype=int32), array([554, 103, 157, 120, 430], dtype=int32), array([554,   4, 481,  99, 193, 208,  69, 502, 128, 358,  37], dtype=int32), array([230, 156, 232, 211, 208, 379,  29, 502, 159, 379], dtype=int32), array([439, 301, 194, 208, 332, 569, 502, 307, 358,  13, 518, 561,  13,\n",
      "       410, 515, 182, 271, 478,  10, 158], dtype=int32), array([194, 208, 312, 502, 367, 359, 544], dtype=int32), array([232, 542, 546, 194, 208,  64, 502, 543, 132], dtype=int32), array([383, 276, 481, 194, 208, 379, 502,  69,  60, 299, 435], dtype=int32), array([439, 301, 481, 182, 200, 136, 193,  10, 208,  64, 502, 376], dtype=int32), array([554,  26, 196, 208, 376, 502, 415, 205], dtype=int32), array([439, 301, 481,  26, 561, 190, 105, 194], dtype=int32), array([276,  32, 194, 270, 137, 358, 120, 358, 463], dtype=int32), array([334, 463, 194, 208, 307, 502, 107,  19,  11, 228], dtype=int32), array([232,   0, 273,  13, 193, 208, 260, 539, 502, 145, 358, 317], dtype=int32), array([ 89, 570, 276,  32, 194,  73, 312,  40, 100], dtype=int32), array([439, 301, 183, 270, 358, 519, 208, 137, 502, 128], dtype=int32), array([439, 301, 481, 165, 193, 208,  77, 502, 415, 205], dtype=int32), array([554,  26, 221, 194, 208,  77, 502, 376, 480, 268,  72,  10,  35], dtype=int32), array([439, 301,  32, 194, 208, 378, 502, 312, 358, 546], dtype=int32), array([232, 542, 502, 196, 208, 128, 201, 564, 502, 376], dtype=int32), array([357, 232,   0, 273, 502, 196, 208, 137, 502, 379], dtype=int32), array([554,  50, 481, 194, 358, 244, 190,  11, 208,  77, 502, 415, 205], dtype=int32), array([439, 301, 481, 174, 194, 208, 376, 502,  64], dtype=int32), array([232, 565, 273,  13, 339, 193, 208, 246, 502, 260, 539, 358, 297, 424], dtype=int32), array([232, 565, 273, 237, 358, 194, 208, 128, 502,  64,  60, 234,  64,\n",
      "       358, 518, 321], dtype=int32), array([232, 331, 502, 196, 208, 379, 502, 351,  40, 138, 234, 481,  20], dtype=int32), array([439, 301, 481, 194, 208, 285,  41, 502, 379, 557,  58,  62, 379,\n",
      "       358, 317], dtype=int32), array([157, 120, 196, 208, 137, 502, 379], dtype=int32), array([439, 301, 481, 339, 194, 208, 229, 502, 128], dtype=int32), array([439, 301,  32, 481, 194, 208, 137, 502, 260, 539], dtype=int32), array([439, 301, 481, 194, 208,  64, 502, 543, 132, 358, 496, 174], dtype=int32), array([157,  37,  26, 193, 208, 282,  71, 502, 452, 286, 461, 234, 128,\n",
      "       427, 290], dtype=int32), array([232,   2, 450, 232, 542, 502,  75,  13, 193, 208,  64, 502, 137, 113], dtype=int32), array([230, 296, 462, 358, 120,  11, 208,  77, 502, 415, 205], dtype=int32), array([357, 232,   7,   7,   7,   7, 558,   7, 502, 467,  13, 410, 515,\n",
      "       498, 208,  97, 502, 319], dtype=int32), array([439, 301,  32, 194, 208,  77, 502, 379, 358, 546, 353, 334, 548,\n",
      "       557, 268,  77,  19,   8, 350, 384], dtype=int32), array([554, 194,  50,  66, 208,  77, 502, 137], dtype=int32), array([554, 157, 111, 566, 304], dtype=int32), array([383, 276, 481, 399,  93, 237, 234, 379], dtype=int32), array([554, 241, 481,  99, 182, 200, 194, 208,  77, 502, 128], dtype=int32), array([479, 570, 200, 480, 237, 346, 232, 565, 273, 237, 358,  13, 193,\n",
      "       358,  49, 441, 208,  64, 502, 376, 166, 234, 481, 321], dtype=int32), array([ 13, 277, 353,  32, 194, 208,  77, 502,  69,  72,   9,  35, 358, 496], dtype=int32), array([439, 301,  32, 194, 152, 360, 208,  77, 502, 415, 205, 363, 351,\n",
      "       480,  58,  72,   9,  35,   7, 500], dtype=int32), array([194, 208, 137, 502,  69,  73,   9,  35,  40,   8, 384], dtype=int32), array([212, 301, 532,  22, 194, 200, 334, 546, 208, 107, 502, 307], dtype=int32), array([439, 301, 481,  99, 182, 208,  69, 502, 128], dtype=int32), array([232, 331, 502, 196, 208,  64, 502,  97, 343,  94, 334, 317], dtype=int32), array([439, 301, 481, 183, 208, 128, 502, 415, 205], dtype=int32), array([276,  32, 194, 208,  77, 502, 415, 205, 358, 530,  26], dtype=int32), array([241, 484,  13, 193, 208, 379, 502,  69, 480,  59,  73,   8,  40,\n",
      "         8, 384], dtype=int32), array([439, 301, 194, 358, 426, 524, 443, 383], dtype=int32), array([554,  26, 196, 208,  77, 502, 543], dtype=int32), array([554,   3, 481, 194, 208, 306, 502, 260, 539, 480,  58, 358,  13, 463], dtype=int32), array([554, 217, 512, 241,  66, 208, 379, 502, 159], dtype=int32), array([554, 241, 481, 165, 193, 480, 232,  89, 467, 208,  77, 502,  69], dtype=int32), array([189, 301,  13, 193, 208,  77, 502, 415, 205, 561,  13, 266, 234, 137], dtype=int32), array([439,  32, 194,  40, 183, 208, 137, 502, 415, 205], dtype=int32), array([556, 241, 300], dtype=int32), array([554, 241, 175], dtype=int32), array([276, 339, 194, 208, 285,  41, 502, 379, 557,  58, 358, 317,  19,\n",
      "         8, 384], dtype=int32), array([439, 301, 481, 194,  60,  62, 287, 186, 208,  32, 368,  30], dtype=int32), array([554, 194,  50,  66, 496,  20, 208,  69, 502,  64], dtype=int32), array([357, 439, 301,  32, 481, 194, 502,  69], dtype=int32), array([ 32, 194, 208, 415, 205, 502, 285,  41], dtype=int32), array([194, 208,  64, 502, 543, 132, 358, 496, 321], dtype=int32), array([554, 194, 213, 208,  69, 502, 333, 546, 321], dtype=int32), array([554,  50, 481, 110, 183, 200, 194, 208,  97, 502, 333, 518,  20], dtype=int32), array([232, 331,  13, 193, 208, 285,  41, 502,  97, 503], dtype=int32), array([183,  40, 194, 208, 379, 502, 376], dtype=int32), array([357,  32, 409, 156, 570, 221,  13, 193, 358, 530,  26, 208,  64,\n",
      "       502, 543], dtype=int32), array([554, 217, 511, 241,  66, 234, 313], dtype=int32), array([439, 301, 194, 208, 137, 502, 415, 205, 358, 546], dtype=int32), array([554, 241, 481, 334, 193, 208, 379, 502, 415, 205,  19, 136, 193,  11], dtype=int32), array([232,   0, 273, 502, 196, 208, 137, 502, 379, 502,  64, 123, 570,\n",
      "       189, 301, 481,  99, 544, 502, 156, 491], dtype=int32), array([439, 301, 194, 208, 332, 569, 502, 307], dtype=int32), array([439, 301, 194, 208, 376, 502, 351, 358, 206], dtype=int32), array([189, 513,  55, 200,  13, 410, 515, 193, 208,  69, 502, 379], dtype=int32), array([276,  32, 194, 358, 416, 208, 128, 502, 415, 205, 339], dtype=int32), array([234,  64, 232, 565, 273, 237, 358, 217, 512], dtype=int32), array([554, 241, 155], dtype=int32), array([554, 217, 512, 241, 484, 234, 351], dtype=int32), array([554,  50, 481, 194, 208,  77, 502, 415, 205], dtype=int32), array([208, 506, 502,  64, 234, 481,  20], dtype=int32), array([554, 241, 481,  99, 359, 544, 182, 208, 137, 502, 379], dtype=int32), array([194, 208, 102, 502, 137, 358,  37,  26], dtype=int32), array([276,  32, 410, 515, 183, 208, 379, 502, 543, 132], dtype=int32), array([439, 301, 481, 387, 353, 190, 105, 499, 358, 532,  22, 410, 515,\n",
      "       208, 107, 502, 307], dtype=int32), array([232,   0, 273,  13, 193, 208, 145, 502, 452, 375, 200, 518], dtype=int32), array([212, 301,  32, 481, 194, 208, 307, 502, 100, 358,  37,  26], dtype=int32), array([156, 570, 221,  43, 194, 530,  26, 208, 128, 502, 415, 205], dtype=int32), array([ 32, 194, 270, 543, 132, 502, 415, 205, 480,  50, 190, 105], dtype=int32), array([554, 241, 300], dtype=int32), array([439, 301, 481, 127, 193, 419,  73,  77,  40, 379], dtype=int32), array([554, 217, 512, 241, 484, 234,  64], dtype=int32), array([276, 385, 410, 515, 127, 194,  73,  77,  40, 351], dtype=int32), array([212, 301,  13, 193, 208, 333, 502, 471, 358, 206], dtype=int32), array([439, 301, 481, 323, 176, 359, 544, 190, 105, 182, 208,  69, 502, 128], dtype=int32), array([554,   4, 481, 121, 353,  13, 190, 105, 182, 208, 376, 502, 415, 205], dtype=int32), array([554,  50, 481, 419, 353, 194, 208,  77, 502, 415, 205, 200,  65, 190], dtype=int32), array([212, 301, 481, 410, 515, 110, 182, 208, 128, 502,  69], dtype=int32), array([439, 301,  13, 276, 353, 194, 208, 415, 205, 502,  77, 200,  65, 489], dtype=int32), array([157, 344, 196, 240, 137], dtype=int32), array([230, 282, 157, 242, 467, 502, 211, 208, 137, 502, 351], dtype=int32), array([554, 241, 481,  99, 359, 544, 182,  73,  77,  40, 351], dtype=int32), array([554, 194,  50, 484, 358, 417, 208, 376, 502, 137], dtype=int32), array([232, 542, 502, 196, 339, 208, 137, 502, 128], dtype=int32), array([156, 570, 221,  13, 193, 208,  64, 502,  77], dtype=int32), array([554, 194, 156, 570, 221, 208,  69, 502, 415, 205], dtype=int32), array([194, 208, 379, 502,  69,  73,   9,  35,  40,   8, 384], dtype=int32), array([439, 301,  32, 481, 194, 208,  69, 502, 114], dtype=int32), array([276,  32, 194, 208, 282,  71, 502, 114, 263, 416], dtype=int32), array([232, 565, 273, 502,  75,  13, 193, 358, 532,  22, 190, 105, 208,\n",
      "       107, 502, 307, 358, 184, 524, 424], dtype=int32), array([383, 276,  32, 194, 208,  64, 502,  69, 358, 546,  40, 496], dtype=int32), array([439, 301, 194, 208, 376, 502, 415, 205, 358, 547], dtype=int32), array([554, 241, 182, 111, 219], dtype=int32), array([212, 301, 481, 194, 208, 543, 132, 502, 376, 200, 134, 424], dtype=int32), array([439, 301, 481, 194, 208, 137, 502, 553, 124], dtype=int32), array([554, 252, 353, 381, 241, 534, 358, 481, 165, 193, 208,  77, 502,\n",
      "       415, 205,  20], dtype=int32), array([554, 526, 353, 217, 512, 241,  66, 234, 543], dtype=int32), array([415, 205, 502, 379, 206], dtype=int32), array([232,   0, 273,  39,  20, 193, 208,  64, 502, 415, 205, 561,  13,\n",
      "       459, 234, 137,  60, 232,   0, 418,  16,   7], dtype=int32), array([230, 296, 103,  50, 428,  86, 167, 561, 190, 105, 194], dtype=int32), array([439, 301, 481,  22, 182, 200, 481, 194, 208,  69, 502, 128], dtype=int32), array([439, 301, 481, 194, 208,  77, 502, 415, 205], dtype=int32), array([276,  32, 194,  62, 209, 316, 239], dtype=int32), array([194, 208,  77, 502, 379], dtype=int32), array([557,  26, 221, 194,  73, 376,  40, 379], dtype=int32), array([276,  32, 481,  26, 480, 196, 240, 209, 316, 239], dtype=int32), array([383, 276, 481, 121, 353,  32, 194, 208, 376, 502, 137,  29, 334, 463], dtype=int32), array([232, 542,  39, 166, 321, 193,  73, 376,  40, 379, 358, 518, 321], dtype=int32), array([194, 208, 378, 502, 260, 539], dtype=int32), array([554, 194, 213, 208, 137, 502, 415, 205], dtype=int32), array([554, 241, 481, 323, 176, 359, 544, 182, 208,  77, 502,  64, 358,\n",
      "        37,  26], dtype=int32), array([276,  32, 530, 194, 208,  77, 502, 415, 205, 561, 182, 111, 394], dtype=int32), array([439, 301, 481, 261, 193, 208, 137, 502,  77], dtype=int32), array([554,  50, 481, 194, 208, 100, 502, 236], dtype=int32), array([554, 194, 213, 208,  77, 502, 379,  19,   8, 350, 334, 518], dtype=int32), array([  7,  89, 570, 212, 301, 237, 358, 217, 512, 234, 543, 132, 502, 159], dtype=int32), array([120,  26, 358, 416, 208, 100, 502, 423], dtype=int32), array([554, 241, 481, 165, 193, 358, 206, 208, 543, 502, 415, 205], dtype=int32), array([439, 301, 321, 194, 208,  64, 502, 376], dtype=int32), array([554, 194,  50, 484, 208, 333, 502, 100, 358, 120], dtype=int32), array([439, 301, 481, 194, 208, 351, 502, 543], dtype=int32), array([383, 276,  32, 194, 270, 358, 496, 321, 208, 332, 569, 104, 502, 506], dtype=int32), array([439, 301,  32, 127, 194, 369, 353,  77, 480, 221, 110, 105], dtype=int32), array([ 35, 194, 208,  64, 502, 376], dtype=int32), array([232, 542,  13, 193, 208,  64, 502, 543, 480, 269,  19,   8, 384], dtype=int32), array([439, 301,  32, 168, 387, 208, 128, 502,  69], dtype=int32), array([554,   4, 481,  99, 544, 502, 196,  73,  64,  40, 137], dtype=int32), array([554, 241, 481, 121, 353,  13, 410, 515, 498, 190, 105,  73,   7,\n",
      "        40,  63], dtype=int32), array([346, 232, 542, 502, 425, 407, 194, 208, 307, 502, 332, 569], dtype=int32), array([189,  13, 339, 193,  73,  77,  40, 543,  60, 234, 543,  53,   8, 384], dtype=int32), array([554,  50,  32, 481, 194,  73, 415, 205,  40,  77], dtype=int32), array([554, 241, 481, 165, 193, 208,  77, 502, 376], dtype=int32), array([554, 252, 353, 381, 192, 208,  77, 502, 379,  19, 341], dtype=int32), array([439, 301, 481, 194, 358, 136, 363, 521, 557, 213, 495,  64], dtype=int32), array([212, 301, 481, 276, 353, 194, 200, 120,  26,  73,  77,  40, 137], dtype=int32), array([232, 331, 502, 211, 159, 208, 481, 137,  29], dtype=int32), array([439, 301,  32, 194, 502, 376, 234, 481, 174], dtype=int32), array([208, 506, 502,  64, 234, 481,  20], dtype=int32), array([557,  25, 220, 481, 323,  82, 105, 194], dtype=int32), array([193, 237, 358, 244, 524, 487, 208, 137, 502, 415, 205], dtype=int32), array([554, 194, 208, 415, 247, 502, 128, 358, 206,  20], dtype=int32), array([554, 136, 194, 208, 102, 502, 332, 569, 104,  58,  62, 332, 569,\n",
      "       104,  72,   8, 384, 358, 416], dtype=int32), array([123, 232, 221,  13, 276, 353, 194, 234, 190, 105, 358, 317, 208,\n",
      "       415, 205, 502, 379, 456,  62, 341,  40,   7], dtype=int32), array([554, 241, 481,  99, 190, 105, 182, 208, 107, 502, 307, 358, 532,\n",
      "        22, 358, 184, 524, 204], dtype=int32), array([439, 301,  32, 194, 208, 319, 502, 328], dtype=int32), array([232, 542, 502, 196, 208,  77, 502, 415, 205, 541, 128, 201, 564,\n",
      "       358,  37,  26], dtype=int32), array([232, 542, 502, 196, 208, 128, 502, 415, 205], dtype=int32), array([554, 241, 481, 267, 176, 359, 544, 182, 208,  77, 502, 379], dtype=int32), array([439, 301, 481, 194, 208,  64, 502, 376], dtype=int32), array([439, 301, 554, 194,  50,  66, 208,  69, 502, 128, 561, 168, 183], dtype=int32), array([439, 301, 481, 194, 208, 415, 147, 502, 333,  86, 544, 353, 229], dtype=int32), array([189, 481, 194, 480, 268, 376,  40,  58, 234, 128,  86, 341], dtype=int32), array([ 50, 484,  43,  26, 480, 221, 194, 208,  77, 502, 376, 480, 268,\n",
      "        72,  10,  35], dtype=int32), array([557, 193, 241,  13, 359, 544, 182,  62,  10, 158, 208, 137, 502, 379], dtype=int32), array([439, 301, 481, 327, 353,  26, 234,  64], dtype=int32), array([276,  32, 410, 515, 194, 208, 236, 502, 367, 139, 172, 358, 134,\n",
      "       524, 435, 363, 358, 134, 524, 171], dtype=int32), array([439, 301,  32,  32, 194, 208, 379, 502,  64, 358, 546, 557, 268,\n",
      "        72, 341,  40, 427,  80], dtype=int32), array([232, 565, 273, 502,  54,  13, 193, 208, 137, 502, 379], dtype=int32), array([276,  32, 194, 208, 543, 132, 502, 471, 195], dtype=int32), array([276, 194, 208, 379, 502,  77, 270,  19,   8, 234, 481,  20], dtype=int32), array([439, 301, 481, 190, 105, 183, 208,  77, 502, 137], dtype=int32), array([439, 301,  32, 194, 208, 332, 569, 502, 307, 358,  13, 518, 561,\n",
      "       410, 515, 183, 529,  10, 158], dtype=int32), array([554, 526, 353, 217, 512, 241,  66,  73, 481,  29,  40, 159, 415, 205], dtype=int32), array([554,  50, 481, 323, 176, 190, 105, 499,  73,  77,  40, 415, 205], dtype=int32), array([554, 275, 430, 234, 285,  41], dtype=int32), array([554, 241, 481, 267, 176, 193,  66, 208, 128, 201, 564, 502, 415, 205], dtype=int32), array([346, 439, 301, 481, 194, 208, 137, 502,  64], dtype=int32), array([554, 194, 208, 137, 502, 379,  58,  72,   8, 234, 481, 321], dtype=int32), array([194, 208, 361, 502, 195], dtype=int32), array([473, 301,  16, 217, 512,  62, 506], dtype=int32), array([554,  50, 481, 194,  66,  19,   8, 384,  73, 137,  40, 415, 205], dtype=int32), array([554, 241, 481, 288, 182, 208, 137, 502,  64], dtype=int32), array([232, 542,  13, 359, 544, 498, 208, 128, 502,  69], dtype=int32), array([554, 241, 481, 267, 176, 193, 208,  64, 502, 137, 270, 358, 352, 522], dtype=int32), array([156, 570, 221, 217, 512,  73,  29,  40, 159, 234,  77], dtype=int32), array([232, 565, 273,  13, 193,  73,  77,  40,  64, 358,  43, 130,  62,\n",
      "       359, 234, 481,  20], dtype=int32), array([439, 301,  32, 481, 194,  73, 376,  40, 137], dtype=int32), array([276,  32, 127, 194,  73,  77,  40, 351,  40,  73, 351,  40,  77,\n",
      "       536, 136,  26], dtype=int32), array([554, 339, 194,  73,  77,  40, 543,  58,  19,   8, 350, 384], dtype=int32), array([194, 208, 319,  40, 378, 502, 260, 539,  60,  62, 481, 414, 500], dtype=int32), array([383, 439, 194,  60, 234, 376, 208, 137], dtype=int32), array([156,  43, 353, 481, 415, 205, 502,  77, 194, 268, 358, 206], dtype=int32), array([554,  50, 481, 399,  93, 396, 234, 415, 205], dtype=int32), array([439, 301, 481, 194, 208, 543, 502,  77], dtype=int32), array([439, 301,  26, 215, 208, 379, 215, 502, 137,  40, 483,   7, 502,\n",
      "       415, 205, 358, 317], dtype=int32), array([439, 301, 194, 208,  77, 502, 137], dtype=int32), array([439, 301, 194, 358, 546, 321,  77, 502, 137, 200, 530,  26, 190, 105], dtype=int32), array([232, 565, 273, 481, 190, 193, 240, 229, 208, 128, 358, 297, 190,\n",
      "        40, 481, 261, 193, 208, 229, 502, 128, 358, 297, 190], dtype=int32), array([554, 194,  58, 234, 423, 208, 358, 120], dtype=int32), array([439, 142,  40,  57, 234,  64, 200,  37,  26], dtype=int32), array([232, 331, 502, 196, 208, 543, 502, 415, 205,  83, 232,   0, 273,\n",
      "       502, 458, 370,  62, 128,  89, 570, 473, 301,  13, 419, 353, 194,\n",
      "       480, 559, 156, 480], dtype=int32), array([ 32, 194, 208, 107, 502, 333], dtype=int32), array([232, 331, 502, 196, 208,  77, 502, 137,  40, 483, 502, 415, 205,\n",
      "        40,  68, 502,  77], dtype=int32), array([554, 136, 194,  50,  66, 208, 379, 502, 415, 205], dtype=int32), array([439,  32,  26, 197, 208, 379, 502, 415, 205], dtype=int32), array([265, 193, 208, 229, 502, 415, 247], dtype=int32), array([439, 301, 194, 208, 379, 502, 415, 205, 358, 317], dtype=int32), array([557,  25,  89, 196, 301, 208,  64, 502, 137, 502, 415, 205], dtype=int32), array([358, 317, 439, 301, 194, 208,  69, 502, 128], dtype=int32), array([123, 570, 383, 189, 301,  13, 339, 193, 208,  64, 502,  69, 358,\n",
      "        13,  74,  10,  60,  62,   8, 384], dtype=int32), array([276, 481, 194, 208, 452, 375, 502, 506], dtype=int32), array([232,   0, 273, 502, 425, 481, 194, 208,  69, 502, 376], dtype=int32), array([554,  16, 194, 208,  77, 502, 415, 147], dtype=int32), array([554, 194,  50, 484,  66, 208, 376, 502, 137, 358, 546, 561, 168, 105], dtype=int32), array([554, 321, 194, 156, 570, 221,  73, 351,  40, 137], dtype=int32), array([232, 542, 237, 358, 194, 208,  64, 502, 543, 132, 232, 542, 502,\n",
      "       268,  19,   8, 384, 358, 546, 363,  72,   8,  35, 358, 496], dtype=int32), array([439, 301,  32, 194,  40, 183, 208, 128, 502, 415, 205], dtype=int32), array([554, 194,  50, 484,  73, 543, 132,  40, 415, 205, 270, 543,  19,\n",
      "         8, 384, 358, 546], dtype=int32), array([473, 301,  16, 194, 208, 236, 502, 229], dtype=int32), array([232,   0, 273,  13, 193, 208,  77, 502, 415, 205, 270, 234, 481,\n",
      "        20,  43, 500, 383], dtype=int32), array([554, 241, 481, 217, 512, 208, 376,  29, 502, 481, 104,   7], dtype=int32), array([232, 331,  13, 193, 208, 376, 502, 128, 334, 546, 234, 481, 321], dtype=int32), array([439, 301, 481, 194, 208, 415, 205, 502, 260, 539], dtype=int32), array([241, 484,  13, 152, 193, 208,  64, 502, 376, 480,  59, 234, 376,\n",
      "        53,   9, 341], dtype=int32), array([554, 217, 512, 241,  66, 234, 128], dtype=int32), array([554,   4, 481, 217, 512, 273,  62, 379], dtype=int32), array([557, 530,  26, 194, 213, 495, 137], dtype=int32), array([554, 241, 481, 165, 193, 270, 208,  77, 215, 502,  64], dtype=int32), array([554,   4, 481, 444, 381, 197, 208, 379, 502,  69, 358, 134, 434], dtype=int32), array([554, 241, 182, 111, 291], dtype=int32), array([ 32, 194, 208,  77, 502, 543, 132,  19,   8, 384, 358, 345, 173,\n",
      "       168, 105], dtype=int32), array([439, 301, 481,  26, 200, 194, 502, 363, 208, 287, 186], dtype=int32), array([111, 185], dtype=int32), array([383, 212,   7, 512,  62, 128,  29], dtype=int32), array([177, 302, 112,   7, 126], dtype=int32), array([276, 481, 194,  60, 234,  64, 208,  77,  73,   8,  40,   8, 384], dtype=int32), array([232, 331, 237, 358,  13, 193, 208,  77, 502, 137], dtype=int32), array([212, 301,  32, 194, 208,  77, 502, 376, 334, 548,  60,  19, 290], dtype=int32), array([189, 301, 481, 265, 193, 270,  64,  65, 435,  40,  60, 234, 137], dtype=int32), array([554,   4, 481,  99, 359, 544, 193, 208, 351, 502,  77], dtype=int32), array([157, 120,  26, 196, 208, 379, 502,  64], dtype=int32), array([554, 194, 268,  64,  62,  16,   8, 234, 481,  20,  40,  58, 234,\n",
      "       415, 205], dtype=int32), array([439, 301, 481, 194, 208,  69, 502,  64], dtype=int32), array([439,  20, 194, 208, 229, 502, 128], dtype=int32), array([557, 353, 481, 194, 208, 379, 502,  69, 358, 248, 524, 188,  11,\n",
      "        95, 481, 444, 347, 353, 371], dtype=int32), array([554,  26, 196,  73,  77,  40, 415, 205], dtype=int32), array([439, 301, 481,  26, 480, 196, 208, 506, 502, 415, 205], dtype=int32), array([554,  26, 268, 208, 543], dtype=int32), array([232, 331, 237, 208, 137, 502, 379], dtype=int32), array([232, 331, 502, 254,  13, 276, 353, 194, 208,  64], dtype=int32), array([123, 570, 439, 301,  32, 481, 194, 208, 351, 502, 413, 256, 104], dtype=int32), array([554, 526, 353,  27, 241,  39, 292], dtype=int32), array([554, 241, 481, 217, 512,  66, 234, 201, 564, 477], dtype=int32), array([439, 301,  32, 194, 208, 379, 502,  77, 557, 268,  72, 341], dtype=int32), array([439, 301, 190, 105, 183, 208, 128, 502,  69], dtype=int32), array([232, 542, 481, 276, 353, 127, 194, 208, 312, 502, 452, 286], dtype=int32), array([439, 301, 481, 323, 176, 182], dtype=int32), array([232,   2, 450, 232,   7, 502, 196, 521, 241, 484,  13, 193,  73,\n",
      "       351,  40,  77, 561,  13, 459, 234, 128, 201, 564, 358, 521], dtype=int32), array([232,   0, 273, 481, 165, 193, 237, 208,  77, 502, 415, 205, 561,\n",
      "        13, 302], dtype=int32), array([232, 331, 502,  75,  13, 193, 208, 333, 502, 471, 358,  49, 204], dtype=int32), array([232, 331, 502, 196, 208, 128, 502, 415, 205,  40,  70, 234, 415,\n",
      "       205,  86,   8, 384], dtype=int32), array([346, 439, 301, 194, 208, 379, 502, 376], dtype=int32), array([439, 301,  32, 194, 208, 379, 502,  64, 557, 268,  19,   8, 350,\n",
      "       384, 504], dtype=int32), array([554,  50, 481, 387, 353, 481, 194, 208,  64, 502, 128, 234, 481, 321], dtype=int32), array([232,   0, 273, 502, 189,  13, 193, 208, 471, 502, 319, 480, 294,\n",
      "        13, 458, 234, 332, 569], dtype=int32), array([439, 301,  32, 194, 208,  97, 502, 114], dtype=int32), array([554, 241, 481, 568, 111], dtype=int32), array([554, 241, 530,  26, 430,  73,  77,  40, 415, 205], dtype=int32), array([439, 301, 481,  99, 359, 544, 183, 208, 415, 147, 502, 307], dtype=int32), array([439, 301, 481, 323, 176, 359, 544, 193, 208, 145, 502, 553, 124], dtype=int32), array([554,  20, 194,  50,  66, 208, 137, 502, 415, 205, 358, 547], dtype=int32), array([ 73,  77,  40, 137, 232,   0, 273,  13, 193, 480,   7, 481, 267,\n",
      "        38, 353, 462, 502, 211, 502,  77], dtype=int32), array([554, 194, 208, 236, 502, 306], dtype=int32), array([439, 301,  32, 339, 194,  73, 137,  40, 351, 270,  19, 341,  40,\n",
      "        60,  19,   8, 384], dtype=int32), array([ 40, 230,  89, 232, 211, 502, 481,  77,  29, 208, 159,  77], dtype=int32), array([439, 301,  32, 194,  73, 415, 205,  40, 376, 200, 426, 187], dtype=int32), array([554, 339, 194,  50,  66, 208, 351, 502, 376,  60,  73,   8,  40,\n",
      "         8, 384], dtype=int32), array([232,   0, 273, 502, 425, 481, 194, 208, 137, 502, 376,  21], dtype=int32), array([237, 358,  13, 193, 208, 415, 205, 502, 376], dtype=int32), array([194, 208,  77, 502, 379], dtype=int32), array([276, 410, 515, 194,  73,  77,  40, 351, 536, 521], dtype=int32), array([232, 565, 273, 502, 189, 481, 267, 176, 193, 208,  77, 502, 137], dtype=int32), array([554,  26, 221, 339, 166,  20, 194, 208,  77, 502, 137], dtype=int32), array([194, 208, 333, 332, 245, 502, 107], dtype=int32), array([230,  89, 232, 213, 208, 313, 502, 282,  71, 263, 504], dtype=int32), array([232, 542,  13, 152, 193, 208, 351, 502,  77, 480, 269, 358,  13, 546], dtype=int32), array([232,   0, 273, 502, 425, 481, 194, 208, 379, 502, 376], dtype=int32), array([557,  26, 196, 208,  85, 502, 128, 201, 564], dtype=int32), array([557,  26, 196,  73,  77,  40,  69], dtype=int32), array([439, 301,  32, 194, 208, 379, 502, 376, 557,  58,  72,   8, 350,\n",
      "        35, 358, 546], dtype=int32), array([554, 194,  50,  66, 358, 463, 502, 379, 208, 415, 205], dtype=int32), array([554,  50, 481, 194, 208, 107, 502, 236, 358, 546, 299, 522, 358,\n",
      "       172, 521, 136, 363, 120], dtype=int32), array([439, 301, 194, 208,  64, 502,  69], dtype=int32), array([557, 103, 157, 530,  26, 430], dtype=int32), array([230, 324, 241,  13, 190, 105, 498, 208, 543, 502, 415, 205, 270,\n",
      "       358, 206], dtype=int32), array([230, 324, 157, 155,  10, 121], dtype=int32), array([439, 301, 481, 194, 369, 353, 287, 186], dtype=int32), array([554,  50, 481, 387, 353, 481, 194, 208, 128, 502,  69], dtype=int32), array([276,  32, 194, 208,  69, 502,  64,  19,   9, 341, 496], dtype=int32), array([554,  26, 196, 208,  77, 502,  64], dtype=int32), array([554, 194,  50,  66, 208,  64, 502, 543, 132, 358, 546], dtype=int32), array([554, 194, 213, 208, 376, 502, 415, 205, 541, 128], dtype=int32), array([439, 301,  32, 194, 208, 415, 205, 480, 213, 502,  77,  69, 363, 376], dtype=int32), array([554, 194,  50,  66, 208, 379, 502,  69, 358, 496, 321], dtype=int32), array([232,   0, 273, 530,  26, 194, 208, 137, 502,  69], dtype=int32), array([357, 232, 565, 273, 502, 254, 481, 526, 353,  23, 534, 358,  13,\n",
      "       193, 208, 107, 502, 128, 383], dtype=int32), array([232,   2, 517, 502, 293,  13, 118,  73, 137,  40, 415, 205, 157,\n",
      "       136,  25, 196,  73, 492, 525], dtype=int32), array([554, 157, 300, 453, 200], dtype=int32), array([217, 512,  73,  29,  40, 159, 234,  77], dtype=int32), array([554, 194, 268, 137,  72, 341, 358, 344,  26], dtype=int32), array([383, 276, 194, 208, 376, 502, 128, 461, 234,  64], dtype=int32), array([554, 194,  50, 484, 208, 332, 569, 104, 502, 260, 539], dtype=int32), array([276,  32, 194, 358, 120, 270, 137], dtype=int32), array([241, 484,  13, 120, 193, 270, 208, 260, 539, 502, 332, 569, 339], dtype=int32), array([554, 241, 481, 165, 193, 234, 481, 321, 270,  77, 200,  69], dtype=int32), array([276, 194, 208,  77, 502, 379, 270, 166, 234, 481, 321, 358,  65, 443], dtype=int32), array([157, 120, 196, 208, 137, 502, 415, 205], dtype=int32), array([439, 301, 481,  99, 194, 208, 128, 502,  69], dtype=int32), array([439, 301, 481, 165, 193, 358, 496, 208,  64, 502, 543], dtype=int32), array([241, 484,  13, 193, 208,  97, 502, 333, 358, 518, 174], dtype=int32), array([212, 301, 481, 194, 208, 251, 104, 502, 100, 270, 334, 546,  60,\n",
      "        62, 100,  62,  16,   8, 384], dtype=int32), array([439, 301, 481,  99, 359, 544, 193, 208,  64, 502, 379], dtype=int32), array([554, 526, 353,  23, 269, 208,  77, 502, 543, 132,  62,   8,  35,\n",
      "       161,  13, 549], dtype=int32), array([439, 301, 481, 194, 208, 376, 502,  64, 210], dtype=int32), array([439, 301, 183, 270, 358, 519, 208, 137, 502, 213, 502, 128], dtype=int32), array([383, 276, 481, 194, 208, 378, 502, 415, 147], dtype=int32), array([383, 276, 481, 193, 501, 208, 379, 502, 333], dtype=int32), array([439, 194, 208, 137, 502, 415, 205], dtype=int32), array([212, 301,  13, 193, 208, 376, 502, 137, 358, 463], dtype=int32), array([439, 301,  13, 276, 353, 481, 194, 208, 415, 205, 502,  77], dtype=int32), array([439, 301, 481, 217, 512,  62, 137], dtype=int32), array([168, 183, 332, 569, 502, 307, 410, 515], dtype=int32), array([383, 439, 301, 194, 208, 376, 502,  69,  73,   9,  35,  40,   8, 384], dtype=int32), array([100, 502, 415, 205, 358, 120], dtype=int32), array([232, 331,  13, 193, 208, 379, 502, 332, 569, 104], dtype=int32), array([208, 376, 502, 506], dtype=int32), array([ 30, 234, 332, 569], dtype=int32), array([194, 358, 521, 208, 114, 502, 452, 286], dtype=int32), array([ 50, 484,  43, 194, 208, 332, 569, 502, 319,  90, 270, 358, 496], dtype=int32), array([554, 241, 481, 165, 193, 208, 543, 502, 415, 205], dtype=int32), array([232,   0, 273, 502, 254, 481, 237, 208,  77, 502, 376, 339], dtype=int32), array([439, 301, 481, 194, 208,  69, 502, 379], dtype=int32), array([554, 241, 481, 323, 176, 193, 208, 128, 502,  69], dtype=int32), array([276, 481, 194, 208, 415, 205, 502, 376, 358,  37,  26], dtype=int32), array([276, 481, 194,  60, 234,  69, 208,  77,  72,   9,  35, 358,  65, 487], dtype=int32), array([383, 276,  32, 194, 358, 344,  40, 530,  26, 480, 213, 502, 137], dtype=int32), array([439, 301, 194, 208,  69, 502, 376], dtype=int32), array([123, 570, 473, 301, 481,  99, 182, 208,  64, 502,  77, 358, 490,\n",
      "       190, 353,  65], dtype=int32), array([439, 301,  32, 194, 480,  58, 234, 376, 208,  69, 137, 363, 379], dtype=int32), array([232, 331, 502, 213, 208,  77, 502, 137,  40, 483, 502, 415, 205], dtype=int32), array([439, 301, 194, 215, 208, 415, 205, 502, 379, 190, 105, 358, 317,\n",
      "       353, 270,  19,   9, 341], dtype=int32), array([ 77, 502, 379], dtype=int32), array([276, 194, 208, 378, 502, 145, 358, 496, 249, 524, 204], dtype=int32), array([439, 301, 481, 183, 358,  32, 194, 410, 515, 208, 379, 502, 351], dtype=int32), array([ 32, 409, 554, 532,  22, 194, 268, 208, 236, 502, 415, 147,  19,\n",
      "        10, 234, 481,  20], dtype=int32), array([276, 481, 194,  73, 415, 247,  40, 229], dtype=int32), array([554, 194, 213, 208, 415, 205, 502, 128], dtype=int32), array([554, 194, 268, 378, 358, 546, 174,  40,  58, 234, 312], dtype=int32), array([439, 301, 481, 194, 208, 332, 569, 502, 285,  41, 561, 458, 234, 312], dtype=int32), array([554, 241, 481, 165, 193, 208, 543, 502,  64, 270, 358, 546, 426, 204], dtype=int32), array([554, 194,  50,  66, 208,  77, 502,  64, 358, 248, 435,   8,  35], dtype=int32), array([232, 542, 502, 196, 208,  77, 502, 415, 205], dtype=int32), array([241, 484,  13, 193,  73, 376,  40, 137, 480, 269, 376,  53,   8,\n",
      "       350, 234, 481,  20], dtype=int32), array([232, 565, 273, 237, 358, 194, 208, 379, 502,  69,  60, 234,  69,\n",
      "        72,   9,  35, 358, 496], dtype=int32), array([410, 515, 183, 208, 137, 502, 376, 271, 478,  11, 158], dtype=int32), array([567, 232, 565, 273, 502, 189, 554, 194,  50,  66, 208,  64, 502,\n",
      "        77, 358, 481, 321, 353, 248, 435], dtype=int32), array([530,  26, 194, 461, 234, 137,  72, 341], dtype=int32), array([276,  32, 194, 208,  77, 502,  64,  19,   8, 350, 384, 358, 546], dtype=int32), array([554, 241, 481, 265, 193, 208, 415, 205, 502, 543], dtype=int32), array([554,   4, 481, 288, 410, 515, 182, 208,  85, 502,  43, 104], dtype=int32), array([ 50, 484,  43, 194, 208,  64, 502,  69], dtype=int32), array([232,   2, 517, 502, 196, 208, 137, 502,  77,  40, 232, 542,  13,\n",
      "       193, 480, 429,  13, 302], dtype=int32), array([ 50, 484,  43, 520, 194, 208, 379, 502,  69, 358, 134, 434], dtype=int32), array([194, 208, 379, 502, 285,  41, 496, 174], dtype=int32), array([230, 324, 157, 193, 528,  10, 208,  77, 502, 137, 121], dtype=int32), array([189, 481, 165, 193, 208,  77, 502, 351, 480, 429,  80], dtype=int32), array([439, 301, 194, 208,  64, 502, 543, 383], dtype=int32), array([554,  50,  32, 481, 194, 358, 136, 234,  40, 369, 353, 201, 564], dtype=int32), array([273, 237, 358, 194, 208, 415, 205, 502,  77, 358, 496, 321], dtype=int32), array([557, 103,  50, 431,  86,  78,  37,  40, 136,  26], dtype=int32), array([357,  40, 358, 299, 202, 232, 565, 273, 502, 213, 208,  64, 502,\n",
      "       137, 270, 166, 234, 481, 321,  53,   8], dtype=int32), array([554, 241, 481, 121, 353, 410, 515, 498, 190, 105,  73, 351,  40,  64], dtype=int32), array([439, 301,  25,  15], dtype=int32), array([439, 301, 481, 194, 208, 415, 205, 502,  77], dtype=int32), array([358, 518, 554, 194, 268, 378, 502, 452, 372, 314,  40, 268,  19, 341], dtype=int32), array([557,  26, 221, 339, 194, 208, 251, 104, 502, 100], dtype=int32), array([232,   2, 215, 502, 268, 376,  40, 232, 542, 502, 213, 502, 415,\n",
      "       205,  40, 232, 542, 502, 196, 190, 105,  37,  40, 232, 542,  13,\n",
      "       458, 234, 128,  89, 570, 383, 473, 301, 554, 526, 353,  23, 570,\n",
      "       559,  70, 197], dtype=int32), array([554, 194, 157, 136, 221,  73, 128,  40, 137], dtype=int32), array([554, 194,  50,  73, 543,  40, 415, 205], dtype=int32), array([415, 205, 502, 376, 383], dtype=int32), array([554, 194,  50, 484, 208, 332, 569, 104, 502, 260, 539], dtype=int32), array([212, 301, 194, 208, 137, 502,  69], dtype=int32), array([439, 183,  40, 194, 208, 137, 502, 351], dtype=int32), array([ 50, 484,  43, 194,  19,   8, 384, 208, 415, 205, 502, 543], dtype=int32), array([554,  50, 481, 194,  73, 379,  40, 415, 205], dtype=int32), array([ 69, 502, 376], dtype=int32), array([554, 241, 481, 261, 193, 208,  64, 502,  77], dtype=int32), array([276, 481, 194, 208, 128, 502, 415, 205, 358,  37,  26], dtype=int32), array([212, 301, 481, 165, 193, 358,  37,  26, 504, 208, 452, 375, 502, 312], dtype=int32), array([232, 565, 273, 502, 425, 481, 194, 208,  69, 502, 376,  21], dtype=int32), array([554, 157, 182, 111, 390, 304], dtype=int32), array([554, 157, 182, 111, 391, 304], dtype=int32), array([554, 106, 353, 430, 157, 521, 388], dtype=int32), array([554, 194, 156, 570, 221, 270, 137,  40,  60, 234, 415, 205], dtype=int32), array([193, 237, 358, 244, 524, 487,  11, 208, 137, 502, 415, 205], dtype=int32), array([376, 502, 128, 416], dtype=int32), array([276, 481, 194, 208, 137, 502,  69], dtype=int32), array([554, 194,  50, 484, 546, 321, 208,  64, 502, 376], dtype=int32), array([153,  32, 481, 194, 208,  69, 502, 128, 557, 268,  19,   8, 384], dtype=int32), array([232, 331, 182, 237, 208, 137, 502, 379], dtype=int32), array([473, 301,  16, 217, 512,  62, 415, 205], dtype=int32), array([237, 358, 194, 208, 379, 502, 376], dtype=int32), array([ 37, 194, 208, 102, 502, 229], dtype=int32), array([554, 241, 481, 121, 353, 275, 430,  62, 281,  29], dtype=int32), array([383, 439, 301, 481, 407, 193, 347, 208, 506, 502, 452, 375], dtype=int32), array([554,   4, 481,  99, 193, 208, 128, 502,  69, 358, 134, 434], dtype=int32), array([232, 565, 273,  13, 193, 208, 376, 502, 128], dtype=int32), array([557, 194, 138,  81,  19, 341,  40,  58, 234, 137,  86,   8, 384], dtype=int32), array([554, 157, 193, 111, 532, 304], dtype=int32), array([439, 301, 481, 243, 200, 481, 117, 193, 208, 128, 201, 564, 502,\n",
      "       415, 205, 480, 140, 128, 201, 564,  62,  11], dtype=int32), array([232, 565, 273, 481, 174, 419, 353, 194, 208, 415, 205, 502, 543], dtype=int32), array([554,  50, 481, 323, 176, 190, 105, 499,  73,  64,  40, 128], dtype=int32), array([383, 439, 301, 194, 208,  77, 502, 137, 561,  13, 459, 234, 376], dtype=int32), array([439, 301, 217, 512, 234, 137], dtype=int32), array([232, 542,  13, 193, 208, 137, 502, 379, 483, 208, 379, 502,  64,\n",
      "       483, 208,  64,  68, 502, 379,  68, 502, 137], dtype=int32), array([554, 241, 481, 165, 193, 208,  77, 502, 415, 205, 358,  37,  26], dtype=int32), array([241, 484,  13, 521, 193, 208, 260, 539, 502, 332, 569], dtype=int32), array([ 32, 194, 208,  77, 502, 543, 132, 358, 345, 173], dtype=int32), array([554, 241, 481, 121, 353, 193, 155,  10, 208, 376, 502,  77], dtype=int32), array([232, 565, 273,  13, 193, 358, 120,  26, 270, 208,  77, 295,  13,\n",
      "       458, 234, 137,  40,  60, 234, 415, 205], dtype=int32), array([276,  32, 194, 208,  69, 502, 376], dtype=int32), array([439, 301, 481, 193, 419, 208, 379, 502, 415, 205], dtype=int32), array([554,  50, 481, 183, 200, 194, 208, 255, 502, 333, 270, 317, 321], dtype=int32), array([232, 331,  13, 193, 208, 379, 502, 285,  41, 496, 174], dtype=int32), array([383, 439, 301, 120, 194, 208, 415, 205, 502, 379, 358, 206], dtype=int32), array([554,  26, 196, 240, 413, 256, 104], dtype=int32), array([439, 301, 217, 512, 234, 376, 358, 317, 321], dtype=int32), array([554, 241,  25, 532], dtype=int32), array([554,  26, 196, 208,  77, 502, 379], dtype=int32), array([232,   0, 273,  13, 339, 193, 208,  64, 502,  69, 480,   7, 234,\n",
      "        53,   8, 384], dtype=int32), array([439, 301,  13, 276, 353, 217, 512,  62,  77,  29], dtype=int32), array([439, 301, 481,  99, 359, 544, 182, 208,  69, 502, 128], dtype=int32), array([439,  32, 339, 194, 208,  77, 502,  64], dtype=int32), array([554, 194, 208, 333, 502, 285,  41, 358, 546], dtype=int32), array([383, 276, 481, 194, 208, 128, 201, 564, 502, 132,  69, 358, 248,\n",
      "       524, 487], dtype=int32), array([208, 436, 502, 137], dtype=int32), array([232, 565, 273, 502, 254, 194, 358, 249, 187, 208, 282,  71, 502,\n",
      "       114,  19,   9, 341, 383], dtype=int32), array([383, 276,  32, 194, 358, 530,  26,  40, 344, 557, 213, 502, 137], dtype=int32), array([299, 232, 221,  13, 277, 353, 194, 208, 313, 502, 282,  71,  88,\n",
      "       358, 546], dtype=int32), array([232, 565, 273, 502, 425, 481, 194,  66, 208, 379, 502, 415, 205,\n",
      "       200, 317], dtype=int32), array([194, 208, 332, 569, 104, 502, 319], dtype=int32), array([554,   4, 481, 165, 193, 208, 328, 502, 466, 358,  37, 358, 518,\n",
      "       481, 170, 353, 299], dtype=int32), array([554, 194, 268, 379, 248, 188,  19,   8, 384,  40,  58, 234, 415, 205], dtype=int32), array([232, 331,  13, 193, 208, 319, 392, 502, 415, 147,  88, 270, 491, 463], dtype=int32), array([439, 301, 481, 194, 358, 521, 208,  64, 234, 481, 321], dtype=int32), array([554, 217, 512, 241,  66, 234, 128, 504], dtype=int32), array([232,   0, 273, 502, 467,  13, 193, 208, 543, 132, 458, 234, 137,\n",
      "        40, 561, 325,   7, 144,  61, 415, 205], dtype=int32), array([557, 194, 270,  69, 502, 128, 358, 317,  20, 221,   7, 105], dtype=int32), array([232, 331, 237, 358, 217, 512, 208, 481,  29, 234,  64], dtype=int32), array([439,  32, 194, 208,  69, 502, 128, 358, 317, 174,  40, 481, 121,\n",
      "       353, 163, 193], dtype=int32), array([554, 194, 213, 208, 379, 502, 137,  19,   8, 384], dtype=int32), array([554, 241, 405,  46], dtype=int32), array([554, 194, 208,  64, 502, 452, 286, 358, 518,  60,  53,  10, 384], dtype=int32), array([473, 301,  16, 194, 208,  64, 502,  97, 343,  94, 270, 358, 317,\n",
      "        40,  60, 234,  97], dtype=int32), array([ 13, 190, 105, 193, 358,  37, 502, 415, 205, 358, 518, 234, 481,\n",
      "       334, 548], dtype=int32), array([194, 208, 107, 502, 307], dtype=int32), array([232, 565, 273,  13, 193, 208, 543, 502,  77, 358,  65, 523,  62,\n",
      "        10, 384], dtype=int32), array([557,  26, 196, 208,  77, 502, 415, 205], dtype=int32), array([232, 331,  13, 193, 208,  69, 502, 423, 480, 462, 234, 313], dtype=int32), array([232,   0, 273,  13, 521, 193, 208,  64, 502, 379, 561,  13, 459,\n",
      "       234, 201, 564, 128, 383], dtype=int32), array([383, 276, 217, 512, 234,  64], dtype=int32), array([383, 439,  32, 194, 208, 376, 502, 137,  29, 334, 463], dtype=int32), array([554, 241, 571, 165, 193, 208,  77, 502, 543, 358,  65, 524, 435], dtype=int32), array([554,   4, 481, 288, 410, 515, 182, 208,  64, 502, 379], dtype=int32), array([554, 462, 157, 155,  10, 293, 208, 415, 205, 502,  64], dtype=int32), array([157, 136, 221,  39, 166,  20, 193, 208,  77, 502, 415, 205], dtype=int32), array([439, 301,  32, 194, 358, 532,  26, 208,  77, 502, 351,  88, 557,\n",
      "       268,  19,   9, 350,  35], dtype=int32), array([439, 301, 481, 194, 208,  64, 502,  77], dtype=int32), array([226, 232,   0, 273,  13, 193, 358,  31,  26, 208, 415, 147, 502,\n",
      "       506, 383], dtype=int32), array([232,   0, 273, 502, 196, 208, 313, 502, 282,  71, 525, 131, 208,\n",
      "       503, 234, 481, 166, 321], dtype=int32), array([554, 241, 528], dtype=int32), array([554, 526, 353,  23,  50, 534, 358, 194, 208, 107, 502, 128, 480,\n",
      "       268,  72, 341], dtype=int32), array([193, 348, 208, 313, 502, 282,  71, 358, 249, 524, 440], dtype=int32), array([439, 194, 208, 379, 240, 415, 205,  60,  19,   9, 341], dtype=int32), array([410, 515, 194,  73, 229,  40, 260, 539], dtype=int32), array([557,  26, 221, 190, 105, 194, 503], dtype=int32), array([123, 570, 212, 301, 481, 419, 353, 194, 200,  37,  40, 136, 502,\n",
      "       146, 358,  65, 187], dtype=int32), array([554,   4, 481, 165, 193, 208,  64, 502,  77], dtype=int32), array([189, 301, 481, 165, 193, 208,  77, 502,  64, 358,  43, 130, 353,\n",
      "       481, 548], dtype=int32), array([232, 331,  13, 193, 208, 137, 502, 543, 132, 358, 546], dtype=int32), array([554, 241, 182, 111,  87], dtype=int32), array([554, 501, 157, 481, 263,  20, 193, 268, 208, 543, 200, 137], dtype=int32), array([383, 439, 301,  21, 481, 190, 105, 183, 208,  69, 502, 128], dtype=int32), array([241, 484,  39,  20, 193, 208,  97, 502, 313,  53,   8, 384], dtype=int32), array([554, 241, 481, 265, 407, 193, 208,  64, 502,  77], dtype=int32), array([ 89, 570, 439, 301, 481,  99, 410, 515, 194,  73, 137,  40, 379], dtype=int32), array([439, 301,  32, 481, 194, 208, 236, 502, 415, 147, 358, 532,  22], dtype=int32), array([216, 346, 554, 232, 542, 502, 189, 369, 241, 358,  49, 523, 208,\n",
      "       543, 502, 137, 156, 570, 221,  13, 193, 267, 176, 182,  53,   8,\n",
      "       350, 234, 481, 321], dtype=int32), array([276,  32, 194, 208, 137, 502, 415, 205, 358, 546,  20], dtype=int32), array([439, 301, 194, 208, 312, 502, 367, 358,  13, 496,  72, 341], dtype=int32), array([383, 439, 301,  32,  26, 561, 463, 194, 208, 376, 502, 137], dtype=int32), array([189,  13, 193, 208,  97, 502, 260, 539, 480, 458, 234, 452, 286,\n",
      "       480, 427, 150,  40, 232, 542, 502, 189, 481,  25, 200, 491, 193], dtype=int32), array([554, 241, 405,  45,   9], dtype=int32), array([554, 194,  50, 484, 208, 128, 502, 379, 358, 317, 321], dtype=int32), array([ 89, 570, 276,  32, 339, 194, 139, 208, 452, 375,  40,  60, 234,  97], dtype=int32), array([554,   4, 481,  99, 193, 208, 137, 502, 379, 200,  78, 359, 544,\n",
      "        40, 410, 515, 194], dtype=int32), array([439, 301,  32, 194, 480, 138, 208, 415, 205,  40, 213, 502, 172,\n",
      "        77, 376, 363,  69], dtype=int32), array([232, 542,  13, 193,  73, 351,  40,  77, 480,  59,  72,   8, 384], dtype=int32), array([232, 565, 273,  13, 193, 208, 351, 502, 376,  62, 359, 234, 481,\n",
      "        20,  60,  62,   8, 384], dtype=int32), array([439, 301, 481, 194, 208, 415, 205, 502,  77], dtype=int32), array([554, 241, 481,  99, 193, 208, 379, 502,  64, 359, 544], dtype=int32), array([241, 484,  13, 193, 358, 167,  26, 208,  77, 502, 137], dtype=int32), array([554, 217, 512, 241,  66, 234, 137], dtype=int32), array([554, 241, 481, 165, 193, 270, 543, 502, 415, 205], dtype=int32), array([276, 174, 194, 504, 208, 378, 502, 145], dtype=int32), array([439, 301,  32, 194, 208,  77, 502, 137, 557,  58, 234, 137, 546,\n",
      "        72, 341], dtype=int32), array([439, 301, 194, 358, 463, 215, 208, 415, 205, 502,  77, 339, 190,\n",
      "       105, 270,  19,   9, 341], dtype=int32), array([439, 301, 481,  99, 194, 208, 415, 205, 502,  77], dtype=int32), array([439, 301,  32, 481, 416, 194, 208, 379, 502,  69], dtype=int32), array([383, 439, 301,  26, 561, 194, 208, 137, 502,  77, 561,  13, 459,\n",
      "       234, 376], dtype=int32), array([556, 157,  91,  26, 239, 196, 502], dtype=int32), array([276, 481, 194, 358, 206,  20, 208, 376, 502, 351], dtype=int32), array([439, 301, 183, 208, 423, 502, 313], dtype=int32), array([299, 232, 425,  32, 339, 194, 208, 452, 375, 502,  97], dtype=int32), array([ 32, 409, 346, 232, 331,  13, 193, 208, 423, 502, 415, 147], dtype=int32), array([189, 481, 265, 193, 208, 415, 205, 502,  64, 480, 429,  13, 302], dtype=int32), array([383, 212, 301,  32, 481, 194, 208, 282,  71,  88, 502, 306, 475], dtype=int32), array([554,  50, 481, 194, 208, 379, 502, 137], dtype=int32), array([232, 331, 502, 196, 208, 137, 502, 415, 205, 518], dtype=int32), array([217, 512, 208,  29, 234,  77, 502, 159,  77], dtype=int32), array([383, 276, 481, 193, 501, 208,  77, 502, 379], dtype=int32), array([383, 276, 481, 194, 208, 332, 569, 502, 285,  41], dtype=int32), array([194, 208,  97, 502,  69], dtype=int32), array([554, 194, 157,  37,  26, 196, 208, 376, 502, 128], dtype=int32), array([554,  50, 481, 194, 208,  64, 502,  69, 557,  58, 234,  69,  62,\n",
      "         8, 350, 384], dtype=int32), array([554,  50, 481, 194,  66,  19,   8, 384,  73, 415, 205,  40,  77], dtype=int32), array([230, 156, 232, 211, 208,  85, 502, 543], dtype=int32), array([232, 331,  13, 193, 208,  64, 502,  97, 343,  94, 334, 317], dtype=int32), array([554, 194,  58, 234, 100, 358, 463, 358, 120], dtype=int32), array([383, 439, 301,  26, 561, 430, 208,  77, 502, 137], dtype=int32), array([232,   0, 273, 502, 425, 194, 208,  69, 502,  64, 480,  58,  72, 341], dtype=int32), array([554,  50, 481, 387, 353, 485, 194], dtype=int32), array([232,   0, 273, 502,  75, 481,  99, 359, 544, 193, 208, 137, 502, 379], dtype=int32), array([ 89, 232, 221,  13, 399,  93, 234, 229], dtype=int32), array([439, 301, 481,  23, 480,  91,  26, 535], dtype=int32), array([439, 301, 481, 194, 208,  69, 502, 351], dtype=int32), array([554, 241, 481,  46, 405], dtype=int32), array([439, 301,  32, 127, 194, 208, 312, 502, 367], dtype=int32), array([554, 194, 208, 251, 104, 502, 137,  19,  10, 234, 481, 321], dtype=int32), array([439, 301, 481, 194, 208,  64, 502, 137, 358, 317], dtype=int32), array([226, 232, 542,  13, 410, 515, 498, 502, 128], dtype=int32), array([439, 301, 481, 194, 208,  69, 502, 376], dtype=int32), array([357, 554, 194,  50, 484, 532,  22, 208, 367, 502, 107, 270, 234,\n",
      "       481,  20], dtype=int32), array([554, 194, 213, 502, 415, 205, 208,  77], dtype=int32), array([554, 157, 405,  45,   9, 304], dtype=int32), array([554, 194, 208,  64, 502, 506], dtype=int32), array([232, 565, 273,  13, 502, 254, 481, 526, 353,  23, 270, 208,  64,\n",
      "        79, 502,  77, 358, 206, 491, 548], dtype=int32), array([439, 194, 208, 332, 569, 104, 502, 260, 539], dtype=int32), array([439, 301, 194, 208, 379, 502,  64, 358, 317,  20], dtype=int32), array([554, 241, 481,  99, 359, 544, 498, 208, 137, 502, 379], dtype=int32), array([554, 194,  50, 484, 208, 328, 502, 229, 504, 174, 480, 427, 150], dtype=int32), array([ 50, 484,  43, 194, 208, 137, 502, 379, 117, 234,  64], dtype=int32), array([194,  73,  77,  40, 376, 480,  58,  19,   8, 350,  40,  72,   8,\n",
      "       350, 358, 518], dtype=int32), array([554, 241, 481,  99, 182, 208, 543, 502, 415, 205], dtype=int32), array([276,  32, 194, 270, 137,  60, 234, 423, 358, 416, 480, 138,  19,\n",
      "        11, 384], dtype=int32), array([383, 212, 301, 410, 515, 183, 208, 379, 502, 376], dtype=int32), array([554,  50, 481, 265, 194, 480, 232,  89, 467, 208,  69, 502,  77], dtype=int32), array([383, 212, 301, 481, 194, 208, 415, 205, 502, 543, 132], dtype=int32), array([232, 331,  13, 193, 208, 376, 502, 128, 480, 462, 234,  64], dtype=int32), array([473, 301, 481, 194, 208,  69, 502, 128], dtype=int32), array([208, 260, 539, 502, 332, 569,  13, 339, 521,  40, 182], dtype=int32), array([554, 241, 481, 182, 215, 359, 544, 358, 345, 435, 208, 137, 502, 351], dtype=int32), array([232, 565, 273, 502, 425, 237, 200, 194, 208, 415, 205, 270,  19,\n",
      "         9, 384, 502, 379, 358, 317], dtype=int32), array([157, 532,  22, 196, 208, 543, 132, 502, 137], dtype=int32), array([554, 241, 481, 165, 193, 270,  77,  40, 215, 502, 543, 358, 426, 487], dtype=int32), array([208, 543, 502,  64], dtype=int32), array([554, 194,  50, 484, 208, 128, 502, 229], dtype=int32), array([232, 542, 546, 194, 208,  64, 502, 543, 132], dtype=int32), array([ 89, 570, 276, 194, 208,  77, 502, 543, 561, 481, 288, 359, 544,\n",
      "       183, 480, 268, 358, 416], dtype=int32), array([554, 194,  50, 484, 208, 312, 502, 378, 358, 416], dtype=int32), array([232,   0, 273, 502,  54,  13, 193, 208, 379, 502,  64], dtype=int32), array([439, 301, 194, 208, 332, 569, 502, 307], dtype=int32), array([554, 241,  25, 349], dtype=int32), array([ 50, 484, 136, 194, 270, 137], dtype=int32), array([554,  26, 196, 208, 452, 375, 502, 312,  40, 208, 312, 502, 466], dtype=int32), array([557, 344,  40, 530, 194, 213, 495, 137,  72, 341], dtype=int32), array([232, 542, 502, 513, 208, 379, 502, 351,  53, 309, 123, 570, 212,\n",
      "       301, 481, 194], dtype=int32), array([554, 241, 481, 507, 421,  92, 353,  32,  23, 353,  37,  26], dtype=int32), array([241, 484,  13, 530,  26, 193, 208, 307, 502, 543, 132,  60,  53, 341], dtype=int32), array([554, 241, 481, 121, 200, 485, 194, 208,  69, 502, 376], dtype=int32), array([554,  50, 481, 194,  73, 379,  40,  69, 358,  65, 476], dtype=int32), array([439, 301, 190, 105, 194, 208, 332, 569, 502, 307, 270, 358,  13, 518], dtype=int32), array([439, 301,  32, 127, 194,  73, 312,  40, 367], dtype=int32), array([439, 301, 481,  99, 194, 410, 515, 208, 332, 569, 502, 415, 247,\n",
      "        60, 234, 415, 247,  72,   8, 384], dtype=int32), array([232, 565, 273, 502, 254, 447, 237, 358, 194, 270, 376,  60, 234,\n",
      "       379, 234, 481,  20], dtype=int32), array([439, 301, 351, 502, 128, 194], dtype=int32), array([123, 570, 383, 212, 301, 237,   7,  37,  26,  13, 193, 208, 543,\n",
      "       132, 502, 376, 481, 165, 359, 234, 481, 321,  61, 385], dtype=int32), array([473, 301,  16, 194, 208, 506, 502, 413, 256, 104], dtype=int32), array([554, 500,  50, 481, 194, 270, 208, 137, 502, 379, 358, 248, 435], dtype=int32), array([232,   0, 273, 502, 425,  32, 481, 194, 208,  77, 502, 376], dtype=int32), array([439, 194,  73, 137,  40, 415, 205, 200, 426, 434], dtype=int32), array([284, 200, 194, 234, 506, 502, 415, 147], dtype=int32), array([383, 212, 301, 152, 321, 194, 208, 379, 502,  64], dtype=int32), array([554,  50, 481, 194, 208, 128, 502, 376], dtype=int32), array([276,  32, 481, 194, 480, 468, 208, 209, 316, 239], dtype=int32), array([194, 208,  64, 502, 543, 132], dtype=int32), array([439, 301, 217, 512, 234, 137], dtype=int32), array([165, 193, 358,  37,  26, 208, 543, 132, 502, 415, 205], dtype=int32), array([554, 241, 481, 265, 193, 270, 543, 200, 137], dtype=int32), array([439,  32, 117, 194, 208, 379, 502, 351], dtype=int32), array([383, 276, 481, 321, 194, 208, 376, 502, 506], dtype=int32), array([232, 542,  13, 339, 193, 208, 236, 502, 506, 480, 269, 496, 321], dtype=int32), array([232, 565, 273, 502,  75,  13, 193, 208, 100, 240, 423, 358, 249,\n",
      "       190, 358, 120,  26], dtype=int32), array([ 69, 502, 376, 546], dtype=int32), array([ 50, 484,  43, 166, 194, 208,  64, 502, 543, 358, 496, 322], dtype=int32), array([232,   2, 284, 200,  13, 193, 270, 137, 514, 502,  64,  40, 461,\n",
      "        62, 379, 241, 491, 385], dtype=int32), array([439, 194, 208, 415, 205, 502, 137, 358, 546,  40, 496], dtype=int32), array([439, 301, 481, 194, 208, 137, 502, 415, 147, 270,  19,   8, 384], dtype=int32), array([554, 194, 208, 413, 256, 104, 502, 332, 569, 104,  58, 334, 416,\n",
      "        72,   8, 384], dtype=int32), array([554,  26, 196, 208,  77, 502,  64], dtype=int32), array([554, 190, 105, 194,  50,  66, 358, 248, 524, 188,  11, 208, 137,\n",
      "       502,  69], dtype=int32), array([276, 194, 208, 379, 502,  69], dtype=int32), array([194, 208,  69, 502, 376, 383], dtype=int32), array([230, 296, 194, 213, 208, 128, 502,  69, 358, 248, 336], dtype=int32), array([439, 301, 481, 194, 208, 413, 256, 104, 502, 452, 375, 358, 546], dtype=int32), array([554, 157, 405,  45,   9], dtype=int32), array([554, 217, 512, 241,  66, 234,  69], dtype=int32), array([546, 208,  69, 502, 333], dtype=int32), array([232,   2, 238, 234,  13, 193, 208, 379, 502,  64], dtype=int32), array([554,  16, 481, 194, 208,  77, 502, 255], dtype=int32), array([554, 194,  50, 484, 208, 236, 502, 367], dtype=int32), array([439, 301, 481, 267, 176, 193, 270, 307, 358, 463,  19,   9, 350,\n",
      "       341,  40,  60, 107], dtype=int32), array([554,  50, 481,  20, 194, 270, 208, 128, 502, 415, 205, 358,  37,  26], dtype=int32), array([555, 241, 481, 165, 193, 208,  77, 502, 137], dtype=int32), array([232, 331, 502, 254, 233, 484,  50,  43, 152, 194, 208, 452, 375,\n",
      "       195, 502, 466, 543, 270,   7, 504, 321], dtype=int32), array([232,   0, 273, 502, 268, 208,  77, 358, 518,  40, 232,   0, 273,\n",
      "       502, 268, 448, 234, 481, 321], dtype=int32), array([554, 194, 213, 208, 128, 502, 471], dtype=int32), array([554, 530,  26, 194, 213, 495, 137], dtype=int32), array([276,  32, 410, 515, 194,  73, 236,  40, 367, 358, 481, 524, 435,\n",
      "       353, 134], dtype=int32), array([230, 296, 183,  50, 484, 359, 544, 208, 466, 502, 319], dtype=int32), array([554, 194, 213, 208, 379, 502, 333,  19,  10, 234, 481,  20], dtype=int32), array([ 32, 194, 208,  97, 502,  44, 358, 532,  22], dtype=int32), array([156,  43, 353, 481, 120, 194, 208,  77, 502, 415, 205, 458, 234, 137], dtype=int32), array([554, 194, 208, 251, 104, 502,  64,  60,  72,   9,  35, 358, 317], dtype=int32), array([ 50, 484,  43, 194, 208, 137, 502, 379, 561,  13, 459, 234,  64], dtype=int32), array([554, 241, 481,  99, 410, 515, 182, 208,  64, 502, 379], dtype=int32), array([439, 301,  32, 194, 208, 307, 502, 332, 569], dtype=int32), array([ 50, 484,  43, 194,  72,   9, 341, 358, 249, 187, 208, 282,  71,\n",
      "       502, 114], dtype=int32), array([232, 331,  13, 193, 208, 415, 147,  88, 502, 236,   7, 270, 234,\n",
      "       481,  20, 358, 518], dtype=int32), array([232,   0, 273, 502, 425,  32, 194, 208, 137, 502, 376], dtype=int32), array([439, 301,  32, 481,  66, 194, 208,  69, 502, 128, 561, 168, 183], dtype=int32), array([439, 301, 194, 208,  77, 502, 543, 358, 317], dtype=int32), array([212, 301, 481, 194,  40, 183, 358, 134, 524, 435, 208, 236, 502, 367], dtype=int32), array([439, 301, 481,  99, 193, 358, 249, 203,  60, 234,  69, 456, 208, 128], dtype=int32), array([226, 232, 331, 502, 211,  13, 193, 208, 306, 502, 413, 256, 104,\n",
      "       139,  72,   9,  35], dtype=int32), array([439, 339, 194, 208, 332, 569, 502, 307, 358,  13, 518, 557, 121,\n",
      "       271, 478,  10, 158, 359, 544], dtype=int32), array([439, 301, 387, 353, 194, 208,  69, 502, 128], dtype=int32), array([276, 481, 339, 194, 208, 307, 502, 543, 132], dtype=int32), array([439, 301, 194, 208,  69, 502, 376], dtype=int32), array([439, 301, 359, 320, 500, 481, 190, 105, 183, 208,  69, 502, 128], dtype=int32), array([232, 565, 273,  13, 193, 208, 376, 502, 415, 205], dtype=int32), array([276,  32, 194, 358, 120, 208, 137, 502, 100, 358, 463, 557, 138,\n",
      "        19,  10, 384], dtype=int32), array([439, 301, 481, 194, 208, 415, 147, 502, 333], dtype=int32), array([554, 194, 407, 208, 137, 502, 376, 358,  13, 416], dtype=int32), array([230, 324, 241,  39, 168, 498, 208, 543, 502, 415, 205, 358, 426, 489], dtype=int32), array([194, 208, 379, 502, 333], dtype=int32), array([554, 194,  50, 484, 358, 463, 208, 423, 502, 100], dtype=int32), array([110, 105, 194, 358, 521, 208, 114, 502, 452, 372], dtype=int32), array([232, 565, 273, 481,  99, 193, 208,  77, 502, 415, 205], dtype=int32), array([232,   0, 273, 502, 213, 208,  77, 502, 415, 205], dtype=int32), array([232,   0, 273, 502, 211,  13, 193, 270, 415, 205,  40,  60,  62,\n",
      "       376, 373], dtype=int32), array([232, 331,  13, 496, 193, 208, 379, 502,  69,  60, 234,  69,  72,\n",
      "         8, 350], dtype=int32), array([234, 332, 569, 232,   1, 331, 502, 398,  13,  93], dtype=int32), array([383, 439, 301, 481, 194, 208, 260, 539, 502, 145, 358, 481, 524, 171], dtype=int32), array([383, 276, 481, 194, 200, 301, 480, 268, 128, 358, 518, 321,  40,\n",
      "        58, 234,  64], dtype=int32), array([241, 217, 512,  66, 234, 376], dtype=int32), array([554, 241, 481,  99, 193, 208, 282,  71, 502, 306], dtype=int32), array([261, 339, 193, 208, 285,  41, 502, 379, 358, 317, 335], dtype=int32), array([276,  32, 194, 208, 471, 195, 502, 307, 480,  50, 481,  99, 359, 544], dtype=int32), array([ 89, 232, 211,  13, 399,  93, 234, 128], dtype=int32), array([357, 232, 331, 502, 425, 168, 194, 358, 530,  73, 128,  40,  69], dtype=int32), array([232, 565, 273,  13, 193, 208, 543, 502,  77, 270,  62,  10, 358,\n",
      "        65, 523], dtype=int32), array([439, 301, 194, 208, 312, 502, 367, 358, 546, 335, 363, 496, 321], dtype=int32), array([212, 301, 237, 358, 194, 208,  64, 502, 543, 132, 358, 546,  19,\n",
      "         8, 384,  40, 496,  72,   8,  35], dtype=int32), array([212, 301,  37,  26, 194, 208, 312, 502, 378, 358, 416,  40, 358, 463], dtype=int32), array([439, 301,  32, 194, 208, 137, 502, 415, 205, 334, 546, 557, 268,\n",
      "        19, 341], dtype=int32), array([439, 301, 481, 194, 208,  77, 502, 379, 358, 546], dtype=int32), array([554, 194,  50, 484, 208, 333, 502, 423, 358, 416], dtype=int32), array([156, 570, 221,  39,  37,  26, 193, 208, 137, 502, 415, 205, 234,\n",
      "       481, 166, 321], dtype=int32), array([157, 311, 178, 221,  43, 194], dtype=int32), array([554, 241, 231], dtype=int32), array([212, 301, 481, 194, 200,  37,  25, 208, 376, 502, 128], dtype=int32), array([557,  26, 196, 208,  77, 502, 543, 132,  83, 459, 234, 447, 368, 104], dtype=int32), array([554, 217, 512, 241, 484, 234,  64], dtype=int32), array([232, 542, 502, 196,  77, 502, 128], dtype=int32), array([230, 324, 241, 481, 217, 512,  73,  64,  40, 159], dtype=int32), array([383, 276, 530, 194,  73,  77,  40, 137, 139,  62,   8,  35], dtype=int32), array([232,  35, 238, 234,  13, 193, 358,  39,  23, 347,  10, 232, 565,\n",
      "       273, 502, 213, 208, 543, 502,  64], dtype=int32), array([358,  49, 524, 565, 273, 502, 196, 208, 137, 502, 379,  62,  16,\n",
      "         8, 350, 234, 481, 321], dtype=int32), array([230, 282, 157, 481, 217, 512, 467, 208, 481, 413, 256, 104,  29], dtype=int32), array([557, 193, 208, 379, 502,  69,  95, 481, 444, 347, 353, 371], dtype=int32), array([232, 565, 273, 502, 425, 481, 194, 208, 137, 502, 376], dtype=int32), array([439, 301,  32, 530,  26, 190, 105, 194], dtype=int32), array([212, 301, 339, 194, 208, 332, 569, 104, 502, 260, 539], dtype=int32), array([ 50, 484, 546, 321, 194,  73, 379,  40,  77], dtype=int32), array([554, 194, 208, 145, 502, 452, 375], dtype=int32), array([554,  50, 481, 194, 208,  77, 502, 543], dtype=int32), array([554, 194, 208, 251, 104, 502, 137,  19,  10, 234, 481, 321], dtype=int32), array([276,  32, 194, 358, 120, 270, 137,  40,  60,  62, 100, 358, 317,\n",
      "        72, 341], dtype=int32), array([554,  26, 208, 543, 132, 502, 114], dtype=int32), array([383, 212, 301,  13, 193, 208,  77, 502,  64,  72,   9,  35, 234,\n",
      "       481, 321], dtype=int32), array([212, 301, 407, 194, 208, 376, 502, 415, 205, 200, 134, 487], dtype=int32), array([439, 301,  13, 276, 353, 194, 208,  77, 502,  64, 270,  19, 341,\n",
      "        40,  60,  72,   8, 384], dtype=int32), array([554, 241, 481, 265, 193, 208, 376, 502,  77], dtype=int32), array([383, 276, 481, 546,  37,  25, 194, 208, 312, 502, 415, 247], dtype=int32), array([554, 106, 353, 430, 157, 521, 221], dtype=int32), array([554, 194, 213, 208, 128, 502, 415, 205,  72,   8, 350, 463,  20], dtype=int32), array([232, 542, 502, 196,  77, 502, 415, 205], dtype=int32), array([439, 301, 481,  99, 359, 544, 193, 208, 415, 205, 502,  77, 270,\n",
      "       415, 205,  19,   8, 384], dtype=int32), array([509, 502, 333], dtype=int32), array([410, 515, 183, 208,  69, 502, 376, 529,  11, 158], dtype=int32), array([241, 484, 217, 512, 234,  77, 208, 481,  29], dtype=int32), array([554, 194, 213, 208, 379, 502,  69,  19,   8, 350, 334, 546], dtype=int32), array([554, 194, 213, 208,  77, 502, 415, 205, 561,  13, 458, 234, 128], dtype=int32), array([439, 301, 194, 208,  77, 502, 137, 358, 546], dtype=int32), array([439, 301, 481, 194, 208, 102, 502, 137], dtype=int32), array([554, 194, 208, 452, 372, 502, 251, 104, 358, 206, 561,  13, 302], dtype=int32), array([439,  32, 339, 194, 208,  64, 502, 415, 205], dtype=int32), array([439, 194, 208, 376, 502, 128, 358, 416], dtype=int32), array([232, 331,  13, 193, 208, 236, 502, 229, 358, 521], dtype=int32), array([194, 208, 102, 502, 285,  41, 139,  19,  10,  35], dtype=int32), array([554,   4, 182, 111, 568], dtype=int32), array([554, 241, 481,  99, 182, 208, 128, 502, 137, 358, 136], dtype=int32), array([321, 193, 208, 351, 502, 128], dtype=int32), array([554, 194,  50, 484, 208,  69, 502, 333], dtype=int32), array([230, 324, 241,  13, 532,  22,  77, 502, 379, 127, 339, 193], dtype=int32), array([194, 502,  69], dtype=int32), array([212, 301, 481, 194,  40, 183, 358, 134, 524, 435, 208, 367, 502, 236], dtype=int32), array([230, 296, 462,  50, 358,  32, 194, 208,  77, 502, 415, 205, 480,\n",
      "       138,  72,   9, 350, 341], dtype=int32), array([439, 301,  32, 194,  78, 152,  40, 117, 502, 172, 415, 205, 363,\n",
      "       351, 208,  77, 480,  58,  72,   8, 384], dtype=int32), array([276,  32, 194, 208, 137, 502, 376], dtype=int32), array([439, 301, 481, 150, 194, 208,  69, 502, 351], dtype=int32), array([439, 301, 410, 515, 183, 208, 332, 569, 502, 307], dtype=int32), array([554,  26, 196,  73,  64,  40, 415, 205], dtype=int32), array([232,   0, 273, 502, 425,  32, 481, 359, 544, 194, 208, 137, 502, 379], dtype=int32), array([554,   4, 481,  99, 359, 544, 193, 208, 137, 502, 379], dtype=int32), array([157,  37,  26, 196, 208, 376, 502, 128], dtype=int32), array([357, 232,   0, 273,  13, 193, 208,  77, 502, 415, 205, 480, 269,\n",
      "        72,   8,  35], dtype=int32), array([358, 481, 165, 193, 208, 415, 205, 502,  64, 358, 136, 241,  13,\n",
      "       302,   7, 428], dtype=int32), array([ 89, 570, 473, 301, 481, 500,  13, 193, 565, 268, 208,  64, 502,\n",
      "        77, 234, 481,  20], dtype=int32), array([554, 194,  50,  66, 317, 208, 415, 205, 502, 379], dtype=int32), array([439, 301,  32, 481, 167,  26, 194, 270, 379,  73,   9,  40,   8,\n",
      "       234, 481,  20], dtype=int32), array([217, 512, 313], dtype=int32), array([439, 301,  32, 481, 194, 480, 213, 208,  69, 502, 423], dtype=int32), array([554,  25, 454, 200, 231], dtype=int32), array([554, 194, 268, 208, 328, 502, 312], dtype=int32), array([  7, 270, 137, 502, 415, 205,  72,   9,  35, 554, 526, 353,  23,\n",
      "       241, 534], dtype=int32), array([439, 301, 237, 358, 217, 512, 200, 128], dtype=int32), array([439, 301, 194, 208,  64, 502, 543], dtype=int32), array([554, 241, 481,  99, 182, 208, 543, 502, 415, 205, 270, 358, 426, 489], dtype=int32), array([383, 439, 301, 530, 339, 194,  73,  77,  40, 415, 205, 139,  53,\n",
      "         8, 234, 481, 174], dtype=int32), array([439, 301, 481, 193, 208, 145, 502, 553, 124, 561, 481, 227, 359,\n",
      "       544, 182], dtype=int32), array([325, 144, 241, 415, 205, 232, 278, 234, 137, 232, 565, 273,  13,\n",
      "       193, 358,  65, 489, 234, 481, 321, 358,  43,  25, 480, 559, 211,\n",
      "       301, 484], dtype=int32), array([481, 323, 176, 193,  73,  77,  40, 376], dtype=int32), array([353, 481, 194,  66, 208, 128, 502,  69, 358,  65, 487, 557,  25,\n",
      "       220, 481, 267, 176, 193], dtype=int32), array([554, 241, 481,  99, 359, 544, 182, 208,  77, 502,  69], dtype=int32), array([439, 301,  32, 194, 208, 379, 502,  69, 358, 496], dtype=int32), array([230, 176, 241, 481, 415, 205, 275, 430], dtype=int32), array([439, 301, 481, 194, 502, 287, 186, 208,  32, 368,  30], dtype=int32), array([439, 301, 217, 512, 200, 128], dtype=int32), array([439, 301, 481, 410, 515, 499, 208,  69, 502,  64], dtype=int32), array([ 99, 182, 208, 236, 502, 423], dtype=int32), array([212, 301, 194, 480,  58, 234,  69, 208, 137], dtype=int32), array([157, 136, 196, 208,  64, 502, 415, 205], dtype=int32), array([554,  50, 481, 122, 353, 194, 208, 128, 502,  77, 504], dtype=int32), array([376, 502, 415, 205, 383], dtype=int32), array([232,   0, 273, 481, 288, 182, 208, 137, 502, 379], dtype=int32), array([232, 331, 502, 213, 502, 379,  40, 137], dtype=int32), array([554, 241, 481, 190, 105, 182, 358, 530, 193,  10, 208, 137, 502,  77], dtype=int32), array([232, 331,  13, 193, 208, 378, 502, 145, 270, 317, 174], dtype=int32), array([554, 241, 481, 217, 512,  73,  29,  40,  69], dtype=int32), array([554,   4, 481, 165, 193, 270, 137, 200, 379], dtype=int32), array([439, 301,  32, 481, 136, 194, 270, 363,  60,  62, 379,  73,   9,\n",
      "        40,   8, 234, 481,  20], dtype=int32), array([554, 194,  50, 484, 208, 332, 569, 502, 260, 539], dtype=int32), array([217, 512, 383, 234, 481, 104, 353,  77,  73,  29,  40, 159], dtype=int32), array([212, 301, 481, 165, 193, 504, 208, 452, 375, 502, 312, 358,  13,\n",
      "        25, 368, 478, 521], dtype=int32), array([ 89, 570, 276,  32, 194, 208, 100, 502, 452, 286, 480, 138,  19,\n",
      "         9, 341], dtype=int32), array([232, 565, 273, 502, 196, 208,  64, 502, 415, 205, 561,  13, 459,\n",
      "       234, 128], dtype=int32), array([194, 208, 333, 502, 107,   8, 350, 384, 127], dtype=int32), array([ 50, 484,  43, 194, 208,  77, 502, 415, 205, 461, 234, 137], dtype=int32), array([ 89, 570, 439, 301, 481, 194, 208, 128, 502,  69, 561, 168, 183], dtype=int32), array([232,   0, 273, 502, 196, 208, 137, 502, 379, 561,  13, 458, 234,  64], dtype=int32), array([232,   2, 238, 234, 197, 208,  77, 502,  64], dtype=int32), array([439, 301, 194, 317, 335,  19,   8, 384, 200, 128, 502,  77], dtype=int32), array([ 89, 570, 439, 301, 194, 208,  69, 502, 128], dtype=int32), array([276,  32, 194, 208, 379, 502, 376], dtype=int32), array([439, 301, 481, 276, 353, 194,  73, 376,  40, 137, 480, 268, 234,\n",
      "       481,  20], dtype=int32), array([554,  50, 325, 101, 353, 194, 270, 166,  20, 208, 313, 502, 236], dtype=int32), array([554, 386, 241,  13, 275, 430, 502, 332, 569,   4, 255, 218], dtype=int32), array([232,   0, 273, 502, 189, 481,  99, 182, 208,  64, 502, 128], dtype=int32), array([ 32, 194,  40, 183, 208, 379, 502, 128, 410, 515,  19,   9, 384,\n",
      "       271, 478,  11, 158], dtype=int32), array([230, 324, 559, 242, 121, 470, 110, 208, 367, 502, 236, 358, 134,\n",
      "       524, 337, 197, 532,  22,  10], dtype=int32), array([241, 481,  37, 193,  10, 208,  77, 502, 351,  13, 339, 193], dtype=int32), array([241, 484,  13,   7,   7, 193, 208, 415, 247, 502, 328, 358, 546,\n",
      "       481, 336, 353, 299], dtype=int32), array([439, 301, 481, 194, 208,  69, 502, 128], dtype=int32), array([439, 301, 481, 194, 208, 506, 502, 413, 256, 104, 557, 268, 506,\n",
      "        19,   8, 384], dtype=int32), array([276,  32, 127, 194,  73,  77,  40, 351, 536,  37,  26], dtype=int32), array([357, 200, 346, 232, 565, 273, 237, 358,  13, 193, 358,  49, 524,\n",
      "       435, 208, 379, 502,  64, 270, 166, 234, 481, 321,  16,   8, 350], dtype=int32), array([346, 383, 212, 301, 481, 265, 193, 504, 358, 521, 208, 312, 502, 466], dtype=int32), array([554, 241, 481, 165, 193, 208,  77, 502, 543], dtype=int32), array([437, 321, 194, 208, 102, 502, 471], dtype=int32), array([439, 301,  32, 194, 208, 415, 205, 502,  64], dtype=int32), array([230, 282, 157, 242, 467, 502, 196, 208,  77, 502,  64], dtype=int32), array([276,  32, 194, 208,  77, 502, 351], dtype=int32), array([439, 301, 481, 194, 208, 287, 186, 502,  43, 368,  29], dtype=int32), array([439, 301, 481, 194, 208, 376, 502, 128, 480, 458, 234,  64], dtype=int32), array([439, 301,  32, 194, 208, 332, 569, 502, 307, 358,  13, 518, 561,\n",
      "       410, 515, 182, 271, 478,  10, 158], dtype=int32), array([554, 194, 468,  40, 257,  62, 209, 316, 239], dtype=int32), array([232, 565, 273, 237, 358, 194, 208, 376, 502, 351,  88, 358, 206,  20], dtype=int32), array([232,   0, 273, 193, 237, 208, 128, 201, 564, 502,  77, 358, 518], dtype=int32), array([554, 241, 481, 190, 193,  19,   8,  35, 208,  77, 502, 415, 205], dtype=int32), array([232, 331,  13, 193, 208, 281, 502,  64, 491,  20], dtype=int32), array([232, 565, 273, 502,  75,  13, 193, 200, 299, 524, 443, 215, 208,\n",
      "       471, 502, 312,  13, 152, 193, 233, 385], dtype=int32), array([157, 289, 196,  73,  77,  40, 351], dtype=int32), array([383, 212, 301, 481,  99, 193, 208, 137, 502, 379], dtype=int32), array([439, 301, 481, 183, 200, 136, 194, 208, 128, 502, 415, 205], dtype=int32), array([554, 241, 481,  99, 193, 208,  77, 502,  85], dtype=int32), array([439, 301, 481, 267, 176, 193, 208, 307, 502, 107, 358, 463,  19, 341], dtype=int32), array([410, 515, 183, 208,  69, 502, 376, 271, 478,  11, 158, 410, 515,\n",
      "       183, 208, 137, 502, 376, 271, 478,  11, 158, 410, 515, 183, 208,\n",
      "       379, 502, 376, 271, 478,  11, 158], dtype=int32), array([554, 194, 208, 306, 502, 307, 358, 546], dtype=int32), array([232, 565, 273, 359, 193, 208, 251, 104, 502, 452, 372,  60,  53,\n",
      "       151,   8, 384], dtype=int32), array([156, 481,  26, 457, 354, 190, 105], dtype=int32), array([554,  50, 481, 194, 208, 128, 502,  77, 200, 504, 335, 363, 174], dtype=int32), array([276,  32,  57, 208,  43,  29, 502,  69, 358, 496, 321,  60,  72,\n",
      "         8,  35], dtype=int32), array([232, 542, 502, 213, 208, 137, 502,  64, 410, 515,  40, 293,  13,\n",
      "       458,  62, 379, 241, 491, 385], dtype=int32), array([ 32, 194, 208, 307, 502, 332, 569], dtype=int32), array([554, 241, 481, 165, 193, 208,  64, 502,  77], dtype=int32), array([194, 208, 333, 502,  77], dtype=int32), array([232, 542,  13, 407, 193, 208, 543, 502, 128, 358,  37,  26], dtype=int32), array([554, 194, 213, 208, 423, 502,  77, 541, 313], dtype=int32), array([ 89, 570, 473, 301, 481,  99, 193,  73,  77,  40, 415, 205], dtype=int32), array([439, 301, 481, 194, 208, 137, 502, 553, 124], dtype=int32), array([189, 481, 165,  80, 193, 208,  77, 502, 351], dtype=int32), array([383, 276,  32, 481, 469,  40, 259, 200, 209, 316, 239], dtype=int32), array([232, 565, 273, 502,  75,  13, 193, 358, 120,  26, 208, 100, 502,\n",
      "       423, 358, 249, 190], dtype=int32), array([232,   2, 238, 234,  13, 193, 208, 379, 502,  64], dtype=int32), array([157, 521, 221,  13, 193, 208, 236, 502, 229,  60,  62,   9,  35], dtype=int32), array([554, 252, 353,  23, 241, 534, 358, 481, 190, 105,  37,  26, 193,\n",
      "       208, 376, 502, 415, 205, 561,  13, 128, 459], dtype=int32), array([554, 217, 512, 241, 484, 208, 137], dtype=int32), array([232, 565, 273, 502, 254, 233, 232, 196, 358,  37, 193, 347,  10,\n",
      "       208,  77, 502, 351, 233, 232, 559, 458,   7,  62,  42, 104], dtype=int32), array([ 50, 484,  43, 194, 208, 100, 502, 313, 358, 416, 358, 120], dtype=int32), array([194, 208, 333, 502, 107, 127], dtype=int32), array([276, 481, 339, 194, 166, 518, 321, 208, 128, 502,  64], dtype=int32), array([439, 301, 481, 359, 544, 194, 208,  64, 502, 379], dtype=int32), array([554, 194, 208, 251, 104, 502, 137], dtype=int32), array([ 50, 484,  43, 194, 208, 376, 502, 128, 557, 458, 234,  64], dtype=int32), array([230, 296, 103,  50, 428,  86, 120, 561, 190, 105, 194], dtype=int32), array([554,   4, 481,  92, 353,  13,  10], dtype=int32), array([194, 208, 255, 218, 363, 246, 502, 107], dtype=int32), array([554, 241, 481, 165, 193, 208, 306, 502, 102, 358, 249, 489], dtype=int32), array([439, 194, 208, 137, 240, 415, 205], dtype=int32), array([439, 301,  32, 194, 208, 128, 502, 379, 557, 268, 358, 317,  19,\n",
      "         8, 350,  35], dtype=int32), array([554,  50, 481, 166, 321, 194, 208,  77, 502, 137], dtype=int32), array([232,   0, 273, 481, 165, 193, 208, 128, 502,  77], dtype=int32), array([439, 301, 217, 512, 237, 200, 415, 205], dtype=int32), array([439, 301,  32, 194, 208, 415, 205, 502,  77, 376, 363,  69], dtype=int32), array([554, 241,  13, 193, 480, 214, 208,  69, 502, 415, 205,  40,  59,\n",
      "        62, 415, 205,  62,   8, 384, 358,  13, 206], dtype=int32), array([439, 301, 481, 174, 194, 208, 376, 502,  69], dtype=int32), array([232,   0, 273, 502, 196, 166, 504, 208, 114, 502, 313], dtype=int32), array([383, 212, 301, 481, 165, 193, 504, 208, 452, 375, 502, 312], dtype=int32), array([276, 339, 194, 208,  69, 543, 502, 351, 480,  58,  73,  10,  40,\n",
      "        10, 384], dtype=int32), array([554,  50, 481, 194, 208, 260, 539, 502,  81, 358, 416, 299, 524, 525], dtype=int32), array([232,   0, 273, 237, 358, 120,  26, 194, 208, 543, 502, 376], dtype=int32), array([157, 530,  26, 221, 194,  73,  77,  40, 137], dtype=int32), array([554, 217, 512, 241,  66,  62, 481,  64,  29], dtype=int32), array([190, 232,   0, 273, 502, 196, 208, 376, 502, 128,  40, 196, 208,\n",
      "       128, 502, 415, 205], dtype=int32), array([232, 565, 273, 481,  99, 193, 208, 379, 502,  64, 270,  49, 524,\n",
      "       188,  40, 408, 299, 443], dtype=int32), array([383, 276,  32, 194, 208, 128, 502, 376, 358, 317], dtype=int32), array([439, 301, 481, 437, 193, 208,  77, 502, 137, 557,  59, 234, 137,\n",
      "       546,  72, 341], dtype=int32), array([439, 194, 270,  77, 358, 546, 321,  40,  60, 234, 137], dtype=int32), array([232, 565, 273,  13, 193, 208, 543, 502,  77, 193,  10, 358,  65, 523], dtype=int32), array([473, 301, 557,  26, 221, 194, 208, 379, 502, 415, 205, 358, 317,\n",
      "       426, 424], dtype=int32), array([232, 565, 273,  13, 339, 193, 208, 332, 569, 502, 260, 539, 358,\n",
      "       297, 424], dtype=int32), array([232, 565, 273, 502, 513, 208, 236, 502, 229], dtype=int32), array([383, 439, 301, 410, 515, 499, 208, 137, 502, 351], dtype=int32), array([554, 241, 481, 165,  37,  26, 193, 480, 232,  89, 211, 190, 105,\n",
      "       208, 376, 502, 128], dtype=int32), array([276, 194, 208, 376, 502, 128, 480, 458, 234,  64], dtype=int32), array([208, 137, 502, 543, 132, 358, 317, 345, 173,  11], dtype=int32), array([157,  43,  25, 221,  39,  20, 193, 208,  77, 502, 351], dtype=int32), array([212, 301, 481,  99, 193, 208,  97, 502, 282,  71], dtype=int32), array([554, 194, 458, 234,  64,  72, 341], dtype=int32), array([230, 324, 157, 242, 121, 502, 196,   7, 208, 376, 502, 415, 205,\n",
      "       358,  37,  26], dtype=int32), array([557,  26, 221, 194, 208, 415, 205, 502, 543,  86, 544, 353, 236], dtype=int32), array([183,  73,  64,  40,  77], dtype=int32), array([237, 358, 410, 515, 194, 208, 379, 502, 415, 205, 190, 105], dtype=int32), array([554, 241, 481, 410, 515, 190, 105, 182, 358, 530, 208,  77, 502,\n",
      "       415, 205], dtype=int32), array([232, 565, 273, 502, 419,  13, 193, 358,  37,  26, 208, 376, 502,\n",
      "       415, 205, 480, 294,  13, 458, 234, 137], dtype=int32), array([554,   4, 481,  99, 190, 105,  24, 208, 379, 502, 415, 205], dtype=int32), array([439, 301, 481, 194, 208, 452, 375, 502, 506, 480, 268, 317], dtype=int32), array([232, 331, 481, 194, 480, 268, 137,  19,   8, 384, 334, 317,  40,\n",
      "       196, 502, 379], dtype=int32), array([237, 358, 217, 512, 234, 137], dtype=int32), array([554,  50, 481, 194, 208, 137, 502, 379], dtype=int32), array([357, 358, 481, 199, 546, 232,   0, 273, 502, 213, 208, 306, 502,\n",
      "       102,  61, 166,  61, 385], dtype=int32), array([554, 217, 512, 241,  66, 234, 415, 205], dtype=int32), array([232, 565, 273, 502, 425, 194, 208, 137, 502, 376], dtype=int32), array([ 89, 232, 467,  13,   7,  25, 208, 255, 502,  97, 502, 333,  68,\n",
      "       502, 255], dtype=int32), array([554, 194,  50, 484, 208, 306, 502, 260, 539], dtype=int32), array([232, 331, 502,   7, 481, 193, 208, 379, 502, 137, 383], dtype=int32), array([439, 301, 194, 208,  77, 502, 543, 270, 248,   7], dtype=int32), array([439, 301,  32, 194, 208,  64, 502, 128, 410, 515, 271, 478,  11, 158], dtype=int32), array([157, 311, 178, 427,  69], dtype=int32), array([554, 241, 481, 265, 193, 208, 413, 256, 104, 502, 378], dtype=int32), array([439, 301, 481, 276, 353, 194, 208, 376, 502, 137, 480, 268, 234,\n",
      "       481,  20], dtype=int32), array([232,   2, 238, 234, 197, 208,  64, 502,  77, 232,   0, 273, 502,\n",
      "       196, 161,  80], dtype=int32), array([212, 301,  13, 193, 208, 306, 502, 260, 539,  40, 332, 569, 104,\n",
      "       502, 260, 539, 358, 463, 480,  58,  62, 481, 414, 500], dtype=int32), array([439, 301, 481, 194, 208, 415, 205, 502,  77, 358,  65, 490, 190], dtype=int32), array([383, 439, 301, 481, 194, 208, 543, 132, 502, 415, 205,  88], dtype=int32), array([232, 565, 273, 502, 196, 208,  77, 502,  69, 234, 481,  20, 554,\n",
      "       194,  50, 484], dtype=int32), array([123, 570, 276, 200, 301, 481, 194, 480, 268, 351, 358, 463,  40,\n",
      "        58, 234, 128], dtype=int32), array([439, 301, 190, 105,  26, 208, 415, 205, 502, 379, 358, 334, 518,\n",
      "       190, 105, 360], dtype=int32), array([ 32, 194, 502,  69,  19,   8, 384], dtype=int32), array([232,   0, 273,  13, 193, 208, 543, 480, 462, 234, 137,  40, 214,\n",
      "       358, 502, 415, 205], dtype=int32), array([230, 324, 157, 481, 275, 430, 121, 562, 379], dtype=int32), array([439, 301,  32, 194, 208, 415, 205, 502,  77, 376, 363,  69], dtype=int32), array([439, 301, 481, 265, 193, 208, 413, 256, 104, 502, 378], dtype=int32), array([276, 527, 353, 382, 480, 196,  73, 379,  40,  69], dtype=int32), array([439, 301,  32, 194, 152,  40, 117, 208,  77, 502, 379, 480,  58,\n",
      "       234, 379,  72,   9,  35], dtype=int32), array([554, 530,  26, 190, 105,  24, 194,  50,  66, 208, 137, 502,  69,\n",
      "       358, 248, 493], dtype=int32), array([189, 513,  55, 200,  13, 410, 515, 193, 208,  77, 502, 379], dtype=int32), array([241, 484,  13, 410, 515, 193, 208,  64, 502, 128, 541, 137], dtype=int32), array([439, 301, 481, 103, 428,  86, 329], dtype=int32), array([439, 301, 410, 515, 499, 208, 332, 569, 502, 307], dtype=int32), array([554, 157,   7, 304], dtype=int32), array([554, 194, 156, 570, 221, 208, 333, 332, 245, 502, 361,  88, 480,\n",
      "       116, 234, 378], dtype=int32), array([554, 241, 481, 265, 193, 270, 379, 408, 502, 137], dtype=int32), array([232, 565, 273, 481, 500, 353, 571, 165, 193, 234, 481, 321, 208,\n",
      "       376, 502, 543, 358,  37,  26], dtype=int32), array([156, 570, 221,  13, 530, 193, 208, 128, 502, 415, 205], dtype=int32), array([473, 301,  16, 217, 512,  73, 367, 239,  40, 367], dtype=int32), array([ 34, 439, 301, 194, 208, 415, 205, 502, 379, 358, 518], dtype=int32), array([276,  32, 194, 208,  81, 502, 137], dtype=int32), array([439, 301, 481, 194, 208, 413, 256, 104, 502, 452, 375, 263, 335,\n",
      "       358, 518], dtype=int32), array([232, 331,  13, 193, 208, 332, 569, 502, 319, 496, 299, 440,  60,\n",
      "        72, 341], dtype=int32), array([439, 301, 481, 194,  66, 208,  64, 502,  69, 270,  64, 234, 481, 321], dtype=int32), array([554, 194, 208, 319, 502, 260, 539, 358, 416], dtype=int32), array([232, 565, 273, 502,  75,  13, 193, 208, 100, 502, 423, 358, 249, 190], dtype=int32), array([439, 194,  73, 376,  40, 137, 358, 426, 442], dtype=int32), array([554, 157, 300, 304], dtype=int32), array([ 37, 194, 208, 100, 502, 285,  41, 321], dtype=int32), array([156, 570, 221,  13, 193, 208,  77, 502, 201, 564], dtype=int32), array([554, 157, 481, 182, 111, 179,  40, 198, 304], dtype=int32), array([276,  32, 194, 358, 120, 270, 137, 358, 463,  19,  11], dtype=int32), array([232,   0, 273, 502, 268,  64, 234, 481,  20,  40,  58, 234, 376,\n",
      "        62,   8, 384], dtype=int32), array([128, 502,  69, 317], dtype=int32), array([241, 484, 274, 430,  62, 379,  29], dtype=int32), array([554,  50, 481, 321, 194, 208,  77, 502, 376], dtype=int32), array([157, 155, 453, 200, 136], dtype=int32), array([237, 358, 194, 208, 376, 502, 415, 205], dtype=int32), array([554, 241, 182, 105, 219], dtype=int32), array([554,  50, 481,  99, 194, 208, 379, 502,  64], dtype=int32), array([554, 241,  76, 105,  87], dtype=int32), array([276,  32,  37,  26, 208, 312, 502, 378, 358, 416], dtype=int32), array([232, 331, 237, 358,  13, 193, 208, 543, 502, 201, 564], dtype=int32), array([232, 565, 273, 502, 196, 208, 128, 502, 415, 205, 358, 416,  40,\n",
      "        58, 234, 415, 205,  72,   8, 384], dtype=int32), array([230, 296, 194,   7, 208, 137, 502,  69, 358, 248, 336], dtype=int32), array([554,  50, 481, 194, 208,  77, 502, 367], dtype=int32), array([554, 194, 213, 208, 333, 502,  77,  19,   8, 384], dtype=int32), array([554,  93, 400,  50,  66, 334, 463, 208, 137,  29], dtype=int32), array([554, 527, 353, 217, 512,  50, 484, 502, 415, 205,  29], dtype=int32), array([241, 532,  22], dtype=int32), array([232, 542, 481, 194, 208, 137, 502, 379], dtype=int32), array([232, 565, 273, 502, 196, 208,  69, 502, 415, 205, 358, 167,  26], dtype=int32), array([554,  50, 481,  99, 359, 544, 194, 208, 137, 502,  64], dtype=int32), array([554, 252, 353, 217, 512, 241, 484, 234, 137], dtype=int32), array([232,   0, 273, 502, 189,  13, 193, 208,  97, 502, 260, 539,  40,\n",
      "       293,  13, 458, 234, 452, 286], dtype=int32), array([439, 301, 194, 208, 137, 502, 543, 132, 546], dtype=int32), array([ 32, 194, 502,  69,  19,   8, 384], dtype=int32), array([241, 484,  39, 166, 321, 136,  26, 193,  73,  77,  40, 543], dtype=int32), array([554, 339, 194,  73,  77,  40, 543,  58,  19,   8, 350, 384], dtype=int32), array([212, 301,  13, 276, 353, 194,  73, 137,  40, 351], dtype=int32), array([143, 217, 512, 234, 128], dtype=int32), array([439, 301, 481, 194, 208, 137, 502, 376, 358,  13, 416], dtype=int32), array([554,  16,  13, 193, 208,  77, 502, 415, 205, 461, 234, 137], dtype=int32), array([232, 331,  13, 193, 208, 379, 502, 332, 569, 270,  62,   8, 384], dtype=int32), array([232, 331,  13, 193, 208, 376, 502, 137, 358, 463], dtype=int32), array([232,   0, 273, 502, 425, 194, 208, 379, 502, 376], dtype=int32), array([194, 208, 351, 502, 415, 205, 358, 244, 524, 190,  11], dtype=int32), array([157, 481, 376,  29, 221,  13, 326], dtype=int32), array([554, 241, 481, 165, 193, 208,  77, 502,  85, 480, 429,  13, 445], dtype=int32), array([230, 324, 500, 157, 242, 467, 502, 213,  73, 481,  29,  40, 159,\n",
      "        86, 217, 512, 234, 128], dtype=int32), array([554, 194,  50, 484,  60, 234, 100,  19,   8, 384, 358, 120], dtype=int32), array([194, 358, 206, 208, 333, 502, 471], dtype=int32), array([194, 208, 307, 502, 107], dtype=int32), array([554,  50, 481, 194, 480, 268, 145,  40,  58, 234, 100,  53,   8,\n",
      "       384, 334, 546], dtype=int32), array([232,   0, 273, 502, 196, 339, 208,  64, 502,  69,  40, 211, 484,\n",
      "        62,   8, 384], dtype=int32), array([230, 324, 241,  13, 190, 105, 410, 515, 208,  64, 502, 415, 205], dtype=int32), array([230, 324, 241,  13, 190, 105, 498, 208,  69, 502, 415, 205], dtype=int32), array([331,  39,   7, 193, 208,  69, 502, 415, 205], dtype=int32), array([232, 565, 273, 502, 196, 208,  77, 502, 415, 205], dtype=int32), array([554, 241, 481, 261, 193, 208, 128, 502,  77, 234, 481, 174], dtype=int32), array([439, 301, 481,  99, 194, 208, 415, 205, 502, 376], dtype=int32), array([212, 301, 194, 208, 415, 205, 502,  77, 358, 496,  20], dtype=int32), array([554, 527, 353, 217, 512,  50,  66, 234, 137], dtype=int32), array([439, 301, 194, 208,  64, 502,  69], dtype=int32), array([232, 542, 502, 213, 208, 137, 502,  64, 410, 515,  40, 293,  13,\n",
      "       458,  62, 379, 299, 232, 221, 481,  99, 182], dtype=int32), array([ 39, 166, 193, 358, 546, 321, 208,  69, 502, 333], dtype=int32), array([232, 331, 502, 196, 208,  69, 502, 128, 358, 518, 174], dtype=int32), array([383, 439, 301, 481, 407, 194, 208, 307, 502, 332, 569], dtype=int32), array([554, 241, 481, 165, 193, 270, 137,  40,  60, 234,  69, 358, 530,\n",
      "        26, 190, 105, 358, 248, 204], dtype=int32), array([232,   2, 284, 200,  13, 193, 480, 214, 208, 361, 502, 553,  40,\n",
      "       462, 234, 100], dtype=int32), array([554, 241, 185], dtype=int32), array([232, 542,  13, 193, 358, 120,  26, 270, 415, 205,  88,  60, 379, 373], dtype=int32), array([554, 194,  50,  66, 546,  20, 208,  64, 502, 415, 205], dtype=int32), array([208, 137, 502,  69], dtype=int32), array([232, 565, 273,  39,  20, 193, 208, 137, 113, 502, 128, 477], dtype=int32), array([383, 212, 301, 174, 194, 270, 376, 502, 415, 205, 206], dtype=int32), array([153,  32, 182, 112], dtype=int32), array([439, 301, 481, 165, 193, 208, 137, 502, 260, 539], dtype=int32), array([554, 157, 481,  14, 155, 304], dtype=int32), array([415, 205, 502,  77, 383, 561,  13, 459, 234, 137], dtype=int32), array([232, 565, 273, 502, 425, 481, 168, 183, 200, 379, 502, 376], dtype=int32), array([439, 301, 190, 105, 410, 515, 194, 208, 332, 569, 502, 307, 232,\n",
      "       542, 481,  99, 190, 105, 182, 383], dtype=int32), array([ 37,  26, 208, 137, 502, 312], dtype=int32), array([276,  32, 194, 208, 379, 502, 376], dtype=int32), array([554,   4, 481, 182, 208, 543, 502,  77], dtype=int32), array([232, 565, 273, 502,  75,  13, 193, 358, 249, 190, 208, 285,  41,\n",
      "       502, 379, 234, 481, 263,  20], dtype=int32), array([358, 496, 232,   0, 273,  13, 193, 208, 452, 375, 502, 307], dtype=int32), array([232, 542, 502, 425, 481,  99, 193, 208,  64, 502,  69], dtype=int32), array([232, 565, 273, 502, 425,  32, 194, 208,  69, 502, 376], dtype=int32), array([554,   4, 481, 261, 193, 208,  64, 502,  77], dtype=int32), array([183,  40, 194, 208,  69, 502, 376], dtype=int32), array([554, 217, 511, 241,  66, 234,  69], dtype=int32), array([439, 301,  32, 194, 208, 137, 502, 415, 205], dtype=int32), array([554,  26, 213, 502, 379], dtype=int32), array([194, 208,  77, 502, 379], dtype=int32), array([439, 301,  32, 194, 208,  64, 502, 415, 205], dtype=int32), array([439, 301, 481,  26, 208, 287, 186], dtype=int32), array([157, 311, 178, 221,  43, 194, 208, 319, 502, 328], dtype=int32), array([439, 301,  32, 194, 208,  97, 502, 376], dtype=int32), array([554, 194,  50, 484, 208, 415, 205, 502, 376, 127, 561, 168, 105], dtype=int32), array([554, 241, 182, 111, 179], dtype=int32), array([232,   0, 273,  13, 498, 358,  13, 381, 208, 137, 502,  64, 232,\n",
      "       565, 273,  13, 110, 105, 363, 288, 182, 498], dtype=int32), array([554, 410, 515, 499,  50, 484, 208, 107, 502, 307, 358, 532,  22,\n",
      "       480,  58,  72,   8, 384], dtype=int32), array([232,   2, 514, 208,  77, 502,  64,  40, 232,   0, 273, 502, 213,\n",
      "       448,  19,   8, 384,  83, 232, 542, 502, 254, 554, 252, 353,  27,\n",
      "       242,   4, 358], dtype=int32), array([232,   2, 284, 200, 194, 208, 379, 502, 376, 270,  72,   8,  35], dtype=int32), array([ 89, 570, 473, 301, 557, 194, 213, 208, 306, 502, 466,  40, 293,\n",
      "        13, 458, 234, 285,  41], dtype=int32), array([276, 481, 194,  60, 234,  69, 208, 379, 358,  65, 487], dtype=int32), array([399,  96, 234, 543, 132], dtype=int32), array([232, 542,  13, 193, 208, 415, 205, 502, 137, 270, 415, 205, 234,\n",
      "       481,  20,  60, 137,  53,   8, 234, 481,  20], dtype=int32), array([230, 324, 157, 242, 121, 502, 196, 359, 544, 208,  77, 502, 543,\n",
      "       190, 105], dtype=int32), array([554,  29, 234, 332, 569, 241,   7, 502, 159], dtype=int32), array([232, 565, 273,  13, 193, 358, 120,  26, 358,  65, 523, 208, 543,\n",
      "       502, 379], dtype=int32), array([237, 358,  37,  25, 194, 208, 543, 502, 376, 166, 321, 501, 353, 193], dtype=int32), array([554,  50, 481, 110, 183, 200, 194, 208, 333, 502, 255, 270,  19,\n",
      "         8, 384], dtype=int32), array([557, 344, 194, 458, 234, 137,  72, 341], dtype=int32), array([232, 542, 237, 358, 194, 208,  64, 502, 543, 132, 232, 542, 502,\n",
      "       268, 546,  19,   8, 384, 363, 496,  72,   8,  35], dtype=int32), array([439, 194, 208, 379, 502, 351], dtype=int32), array([439, 301, 183, 208,  69, 502, 376], dtype=int32), array([383, 276,  32, 344, 194, 240, 137], dtype=int32), array([ 50, 484,  43, 194, 208, 379, 502,  77, 480, 268,  73, 341,  40,\n",
      "         8, 350], dtype=int32), array([232,   0, 273, 193, 237,  73,  77,  40, 543, 426, 487], dtype=int32), array([554,  50, 571, 194, 208, 379, 502,  69], dtype=int32), array([554, 241, 182, 111, 219], dtype=int32), array([232,   0, 273,  13, 193, 270,  64,  65, 435,  40,  60, 234, 137,\n",
      "       113,  65, 435, 270, 234, 481,  20], dtype=int32), array([439, 301, 481, 194, 208, 415, 205, 502, 128], dtype=int32), array([554, 241, 481,  99, 193, 208, 137, 502, 351], dtype=int32), array([230, 324, 241,  13, 193, 208, 543, 502, 319], dtype=int32), array([208, 260, 539, 502, 319], dtype=int32), array([554, 194, 208, 285,  41, 502, 313], dtype=int32), array([232, 331,  13, 193, 208, 506, 502, 415, 147, 561,  13, 266, 234,\n",
      "       543, 132, 358,  22,  90], dtype=int32), array([439, 301, 481, 194, 208,  77, 502, 379, 270, 547,  40, 497], dtype=int32), array([439, 301, 554, 182, 112,   7, 453, 200], dtype=int32), array([ 89, 570, 276, 194, 139, 208, 260, 539,  40,  60, 234, 415, 147], dtype=int32), array([554, 157, 481, 182, 111, 393, 304], dtype=int32), array([ 40, 554, 241, 481, 261, 193, 208, 137, 502,  77, 200, 504, 174], dtype=int32), array([232,   0, 273, 502, 196,  73,  77,  40, 415, 205], dtype=int32), array([383, 212, 301, 194, 208,  64, 502,  77, 358, 546, 321,  40, 496,  20], dtype=int32), array([439, 301, 194, 270, 208,  69, 502, 128], dtype=int32), array([383, 439, 301, 194, 208, 128, 502, 137], dtype=int32), array([439, 301, 481, 267, 176, 193, 208, 307, 502, 332, 569, 358,  13,\n",
      "       463, 561, 190, 105, 182], dtype=int32), array([232, 542, 502, 196, 208, 312, 502, 367], dtype=int32), array([554, 194, 213, 208, 128, 502, 137, 270,  19,   8, 384], dtype=int32), array([232,   2, 238, 234, 481,  99, 182, 208, 543, 502, 201, 564], dtype=int32), array([194, 208, 361, 502, 367], dtype=int32), array([ 50, 484,  43, 194,  66, 208,  69, 502, 128, 317,  20], dtype=int32), array([123, 570, 383, 212, 301, 481, 121, 353,  13, 410, 515, 193, 208,\n",
      "       137, 502, 379], dtype=int32), array([554, 157, 111, 393, 304], dtype=int32), array([276,  32, 339, 194, 208, 333, 502, 471, 270, 358, 206], dtype=int32), array([241, 484, 217, 512, 208, 481, 128,  29, 502, 159, 128], dtype=int32), array([439, 301, 481, 194, 208, 319, 502, 100], dtype=int32), array([232,   0, 273, 502, 196, 208, 376, 502, 415, 205, 561,  13, 459,\n",
      "       234, 128], dtype=int32), array([532,  11,  69, 502, 376, 554, 241, 481, 182], dtype=int32), array([232, 565, 273, 502, 425, 481, 127, 194, 208,  69, 502, 376], dtype=int32), array([554, 241, 481, 444,  23, 480, 192, 208, 379, 502,  69,  60, 299, 435], dtype=int32), array([554, 526, 353,  23, 241, 534, 358,  37,  25, 193,  10], dtype=int32), array([439, 301, 194, 208,  64, 502, 543], dtype=int32), array([234,  77, 241, 484, 217, 512,  73,  29,  40, 159], dtype=int32), array([554, 194,  50,  66, 206,  20, 208,  64, 502, 128], dtype=int32), array([439, 301,  32, 481, 335, 183,  73, 376,  40, 415, 205], dtype=int32), array([ 89, 570, 473, 301, 557, 193, 208, 128, 502,  69, 220, 481, 267,\n",
      "       176, 182], dtype=int32), array([554, 241, 481, 165, 193,  73, 281,  40,  85], dtype=int32), array([232,   0, 273,  13,  98, 193, 208, 128, 502,  69, 358, 244, 190], dtype=int32), array([554,   4, 481, 165, 193, 208, 415, 247, 502, 229], dtype=int32), array([554, 194,  50, 484, 208, 333, 502, 423, 358, 416], dtype=int32), array([439, 301, 416,  40, 463,   4, 194, 208, 312, 502, 378, 358,  37,  26], dtype=int32), array([473, 301,  16, 194, 208,  97, 502,  64, 334, 518], dtype=int32), array([439, 301, 481,  99, 410, 515, 182, 208,  69, 502, 128], dtype=int32), array([194, 208,  69, 137,  40, 379, 502, 376, 556, 481, 410, 515, 182,\n",
      "       200, 163, 241, 271, 478,  11, 158], dtype=int32), array([193, 208, 107, 502, 328], dtype=int32), array([554, 241, 481, 265, 193, 570, 221, 139, 128, 502, 376], dtype=int32), array([241, 484,  39,  25, 480,   7,   7, 320, 194, 478,  43, 368,  25], dtype=int32), array([439, 301, 481, 194, 270, 208, 287, 186], dtype=int32), array([439, 301,  32, 127, 194,  73, 312,  40, 367], dtype=int32), array([439, 301, 481, 194, 208, 287, 186], dtype=int32), array([439, 301, 481, 194, 358, 518, 321, 208,  97, 502,  69], dtype=int32), array([439, 301, 217, 512, 234, 415, 205], dtype=int32), array([358, 345, 524, 487, 353, 491,   7,  11, 232,   0, 273, 502, 196,\n",
      "       208,  64, 502, 137,  40, 232,   0, 273, 502, 196, 358, 136], dtype=int32), array([554, 194, 156, 570, 221, 208,  81, 502, 466, 543], dtype=int32), array([439, 301,  32, 481,  99, 183, 208, 332, 569, 502, 307, 270, 358, 518], dtype=int32), array([439, 301,  32, 481, 194, 480,  58, 234,  69, 208,  44,  73,  11,\n",
      "        40, 309], dtype=int32), array([439, 301, 183, 271, 478,  10, 158, 200, 194, 208, 128, 502,  69], dtype=int32), array([554, 136, 194, 196, 208, 543, 502, 128, 234, 481, 321], dtype=int32), array([232,   0, 273, 502, 196, 208, 137, 502,  64, 561,  13, 458, 234, 379], dtype=int32), array([439, 301,  32, 194, 208, 332, 569, 502, 307, 270, 358,  13, 518], dtype=int32), array([554,  26, 196,  73, 415, 205,  40, 137], dtype=int32), array([232, 331,  13, 193, 208, 471, 502, 319], dtype=int32), array([554,  26, 196,  77, 502,  69], dtype=int32), array([554,  50, 481, 183, 200, 194, 208,  97, 502, 333, 358, 518,  40, 546], dtype=int32), array([481, 193, 559, 365, 208,  77], dtype=int32), array([357, 358, 518, 249, 190, 232,   0, 273, 502, 213, 208, 378, 502,\n",
      "       145, 234, 481, 263,  20], dtype=int32), array([383, 439, 301, 481, 194, 208,  77, 502, 415, 205], dtype=int32), array([212, 301, 481, 194, 561, 481, 183, 208, 236, 502, 367, 358, 134,\n",
      "       524, 435], dtype=int32), array([439, 301, 481, 194, 208,  77, 502, 137], dtype=int32), array([ 32, 194, 208, 543, 502, 415, 205, 270,  19,   8], dtype=int32), array([555,  50, 481,  37, 194, 208, 378, 502, 312], dtype=int32), array([439, 301, 481, 194, 358, 521, 502,  64, 234, 481, 321], dtype=int32), array([439, 301,  32, 194, 208, 415, 205, 502,  77, 376, 363,  69], dtype=int32), array([554, 241, 481, 267, 176, 359, 544, 182, 208,  77, 502, 415, 205], dtype=int32), array([554, 241, 481, 110, 168, 105, 335, 430, 208,  77, 502, 415, 205], dtype=int32), array([554, 241, 481,  99, 182, 359, 544,  73, 379,  40, 137], dtype=int32), array([439, 301, 194, 208, 379, 502, 376], dtype=int32), array([439, 301, 481, 194, 208,  77, 502, 415, 205, 480, 458, 234,  64], dtype=int32), array([232,   0, 273, 502, 254, 554, 194, 530,  25, 220, 208, 128, 502,\n",
      "       415, 205], dtype=int32), array([554,  50, 481, 103, 428,  86, 136,  26], dtype=int32), array([383, 439, 301,  32, 183, 200, 194, 208, 137, 502, 351], dtype=int32), array([193, 237, 208, 137, 502, 415, 205], dtype=int32), array([232,   0, 273,  13, 193, 504, 208, 251, 104, 502, 333, 234, 481, 321], dtype=int32), array([439, 301, 194, 208, 351, 502, 128, 358, 463], dtype=int32), array([439,  82, 105, 183, 358, 532,  22, 208,  77, 502, 506], dtype=int32), array([276, 127, 194, 208, 137, 502,  77], dtype=int32), array([439, 301,  13, 276, 353,  32, 481,  26, 480, 354,  82, 105, 430], dtype=int32), array([276, 481,  99, 410, 515, 194, 208, 367, 502, 251, 104], dtype=int32), array([554, 241, 481, 165, 321, 193, 208, 415, 205, 502,  77], dtype=int32), array([554,  25, 241, 162], dtype=int32), array([157,  37,  26, 196, 502, 415, 205, 208,  64], dtype=int32), array([ 72,   9, 350, 358, 518, 241, 484,  13,  10, 480, 192, 208,  69,\n",
      "       502, 415, 205], dtype=int32), array([554,  50, 481, 194, 208,  77, 502, 415, 205, 270, 504], dtype=int32), array([358, 518, 481, 524, 487, 194, 208, 376, 502, 415, 205, 358,  37,  26], dtype=int32), array([439, 301, 481, 194, 208, 376, 502,  77], dtype=int32), array([554, 194,  50,  66,  73, 376,  40, 137, 358, 426, 442], dtype=int32), array([ 32, 194, 208, 282,  71, 502, 378], dtype=int32), array([232,   0, 273, 502, 513, 208,  77, 502,  69, 358, 532,  22,  10,\n",
      "       383, 473, 301, 481, 501], dtype=int32), array([439, 301, 481,  26], dtype=int32), array([439, 301,  32, 194, 208, 415, 147, 502, 332, 569, 339], dtype=int32), array([439, 301, 546,  20, 194, 208, 137, 502, 415, 205], dtype=int32), array([232,   0, 273,  13, 276, 353,  32, 481, 194, 208, 415, 205, 502,\n",
      "       379, 358, 463, 383], dtype=int32), array([554, 194, 208,  64, 502, 506], dtype=int32), array([439, 301, 194, 208, 137, 502,  77, 358, 496], dtype=int32), array([193,  73, 452, 375,  40,  97], dtype=int32), array([554, 194, 268, 379, 200, 137, 358, 317, 335], dtype=int32), array([554,   4, 481,  99, 353, 481, 128, 502,  64, 194, 557,  50,  19,\n",
      "         8, 234, 481,  20], dtype=int32), array([554, 241,   7], dtype=int32), array([554, 339, 194,  73,  64,  40, 543, 268,  64,  19,   8, 350, 384], dtype=int32), array([ 50, 484,  43, 194, 358, 249, 173, 208, 452, 375, 502, 312], dtype=int32), array([473, 301,  16, 521, 193,  10], dtype=int32), array([554, 241, 481, 193, 347, 200, 481, 120, 193, 557, 269, 137,  62,\n",
      "        11, 384,  40, 214, 502, 415, 205], dtype=int32), array([232,   0, 273,  13, 193, 208,  81, 502, 466, 543], dtype=int32), array([554, 194, 213, 208,  64, 502, 543, 132, 358, 496], dtype=int32), array([554, 241, 481,  99, 359, 544, 182, 208,  64, 502,  77], dtype=int32), array([232, 565, 273,  13, 193, 208,  77, 502, 137, 358, 317], dtype=int32), array([212, 301, 481, 194, 358, 134, 524, 435, 561, 481, 183, 208, 236,\n",
      "       502, 367], dtype=int32), array([232, 331,  13, 193, 208, 251, 104, 502, 100, 480, 269, 546,  40,\n",
      "        59, 234, 100,  53,   8, 384], dtype=int32), array([110, 183, 360, 550, 200, 137, 502,  77], dtype=int32), array([232, 542,  13, 193, 358, 521, 208,  77, 502, 415, 205], dtype=int32), array([276, 127, 194, 208, 351, 502,  77, 536, 530,  26], dtype=int32), array([439, 301, 481, 194, 208,  77, 502, 379, 358, 496], dtype=int32), array([554,   4, 481, 165, 193, 208, 378, 502, 413, 256, 104], dtype=int32), array([232, 565, 273, 502, 196, 358,  37,  26, 208,  69, 502, 415, 205], dtype=int32), array([194, 208, 107, 502, 251, 104], dtype=int32), array([554, 241, 481,  99, 193, 208, 379, 502,  64, 270, 358, 352, 188], dtype=int32), array([554,  50, 481, 339, 194, 358,  36, 552, 363, 451,  22, 208, 251,\n",
      "       104, 502,  81, 358, 416, 299, 524, 525], dtype=int32), array([123, 570, 473, 301,  16, 194, 208, 376, 502, 128, 480,  59, 234,\n",
      "       481, 166,  20], dtype=int32), array([554,  50, 481, 399,  93, 396, 234, 128], dtype=int32), array([439, 301,  32, 194, 208, 379, 502, 128], dtype=int32), array([241, 484,  13, 152, 193, 208, 137, 502, 379, 234, 481, 321, 353,\n",
      "        65, 490, 190, 480, 241, 339], dtype=int32), array([439, 301,  32, 481, 194, 208,  81], dtype=int32), array([439, 301,  32, 194, 208, 379, 502,  69], dtype=int32), array([439, 301, 481, 526, 353,  23, 480,  91,  26, 535], dtype=int32), array([554, 157, 182, 111, 291, 304], dtype=int32), array([232,   0, 273, 502,  75, 481,  99, 359, 544, 193, 208, 137, 502,\n",
      "       379, 358, 248, 187], dtype=int32), array([232, 542, 502, 196, 208, 376, 502, 128, 502, 415, 205, 358, 317,\n",
      "       248, 171], dtype=int32), array([212, 301,  13, 193, 208, 333, 502, 471, 358, 206], dtype=int32), array([439, 301,  32, 194, 208, 378, 502, 312, 358,  37,  26, 358, 546], dtype=int32), array([439, 301,  13, 276, 353, 194, 358,  37,  26, 208,  77, 502, 132,\n",
      "       358, 248, 524, 424], dtype=int32), array([554, 194, 268, 208,  77, 502, 379, 234, 481, 321], dtype=int32), array([357, 157, 521, 221,  13, 193, 208, 128, 502, 415, 205], dtype=int32), array([439, 194, 208, 379, 502, 351, 358, 532,  26, 561, 182, 237], dtype=int32), array([554, 241, 481,  99, 193, 358,  37,  26, 208, 107, 502, 307], dtype=int32), array([232,   0, 273,  13, 193, 208, 319, 502, 415, 147, 200, 463], dtype=int32), array([554, 194, 208, 543, 132, 502, 506], dtype=int32), array([439, 301, 217, 512, 234, 415, 205], dtype=int32), array([ 32, 194,  40, 183, 208,  64, 502, 128, 410, 515,  19,   9, 384,\n",
      "       271, 478,  11, 158], dtype=int32), array([439, 301,  32, 194,  60, 502, 137, 208,  69, 351,  40,  77], dtype=int32), array([557, 194,  50, 431,  86,  37,  26], dtype=int32), array([410, 515, 183, 208, 137, 502, 376, 271, 478,  11, 158], dtype=int32), array([554,  50, 481, 183, 200, 194, 433,  13, 302, 208,  77, 502, 379,\n",
      "        72, 341, 358, 496], dtype=int32), array([183,  40, 194, 208, 137, 502, 376], dtype=int32), array([554, 241, 182, 111, 393], dtype=int32), array([439, 301, 194, 557, 268, 208,  77, 358, 248, 524, 424,  60, 234, 379], dtype=int32), array([276, 339, 194, 208,  69, 543,  29, 502, 351, 480, 138, 234, 481,  20], dtype=int32), array([439, 530, 194,  73, 379,  40,  69], dtype=int32), array([ 32, 194,  40, 183, 208,  64, 502, 128, 410, 515,  19,   9, 384,\n",
      "       271, 478,  11, 158], dtype=int32), array([194, 208, 319,  40, 378, 502, 260, 539], dtype=int32), array([439,  32, 194, 208, 137, 502, 415, 205], dtype=int32), array([554, 241, 481,  23, 526, 561, 481,   7, 421,  92], dtype=int32), array([358, 518, 232,   0, 273, 502, 196, 208, 145, 502, 452, 375], dtype=int32), array([439, 301,  77, 502, 351, 194], dtype=int32), array([241, 484, 217, 512,  73,  29,  40, 159, 234,  77], dtype=int32), array([383, 276,  32, 194, 208,  69, 502,  64], dtype=int32), array([194, 208, 255, 218, 502, 246], dtype=int32), array([554,  50, 481, 193, 348, 353, 481, 194, 557, 213, 208, 415, 205,\n",
      "       502, 543, 541, 236], dtype=int32), array([554,  50, 481, 183, 208, 128, 502, 415, 205, 358, 193, 155,  10], dtype=int32), array([554, 241, 481, 182, 208, 376, 502, 379,  82, 105, 359, 544], dtype=int32), array([276, 481,  37,  26, 194, 208, 128, 502, 415, 205], dtype=int32), array([554, 157, 182, 111, 391, 304], dtype=int32), array([554, 241, 481, 265, 190, 105, 193, 353, 481, 130, 270, 128, 200,\n",
      "       415, 205], dtype=int32), array([554, 241, 481, 190, 193, 208,  64, 502,  77, 358, 496, 426, 188,\n",
      "       480, 269,  19,   8,  35], dtype=int32), array([ 32, 481, 194, 208,  69, 502, 415, 205], dtype=int32), array([439, 301, 481, 194, 208,  77, 502, 415, 205, 358, 530,  26], dtype=int32), array([554, 217, 512, 241,  66, 208, 481, 137,  29, 502, 159, 137], dtype=int32), array([ 32, 409, 212, 301, 481, 193, 501, 234, 481, 321, 358, 426, 523,\n",
      "       208, 379, 502, 415, 205], dtype=int32), array([232, 542, 502, 268, 100, 334, 518,  40,  58, 234, 145,  53,   8, 384], dtype=int32), array([193, 208, 328, 502, 107], dtype=int32), array([194, 208, 137, 502, 379, 358, 496], dtype=int32), array([ 26, 480, 196, 502, 307, 208, 332, 569, 358, 206], dtype=int32), array([439, 301, 104, 428,  78,  86, 329,  40,  91,  26, 239], dtype=int32), array([554, 241, 481, 165, 193, 208,  77, 480, 559,  58, 234, 137], dtype=int32), array([276, 127, 194, 208,  77, 502, 351, 536, 120,  26], dtype=int32), array([554, 500,  50, 194, 208, 137, 502, 415, 205, 358, 120,  26], dtype=int32), array([241, 484, 217, 512, 208, 481, 379,  29, 502, 159, 379], dtype=int32), array([554,  50, 481, 288, 359, 544, 183, 208, 379, 502,  64], dtype=int32), array([ 40, 194, 270, 208,  64, 502, 351, 270,  19,   8, 384], dtype=int32), array([557, 339, 193, 208,  64, 502, 351, 269, 234, 481,  20,  40,  59,\n",
      "        62,   8, 384], dtype=int32), array([383, 212, 301, 481, 194, 208,  77, 502, 379, 358, 496, 353, 334, 548], dtype=int32), array([232, 565, 273, 502, 513, 208,  77, 502, 137, 166, 234, 481, 321], dtype=int32), array([439, 194,  73,  77,  40, 376], dtype=int32), array([557, 194,  58, 234, 452, 286, 208, 452, 372, 358, 496, 321], dtype=int32), array([554,  50, 481, 194,  66,  73,   9,  35,  40,   8, 384,  73, 379,\n",
      "        40, 201, 564], dtype=int32), array([288, 182, 208, 415, 205, 502, 285,  41], dtype=int32), array([241, 484, 217, 512, 234, 128, 208, 481, 128,  29, 502, 159, 128], dtype=int32), array([383, 276, 481,  20, 194, 208,  97, 502, 313], dtype=int32), array([439, 301, 481,  99, 194, 208,  64, 502, 137], dtype=int32), array([554, 241, 182, 111, 219], dtype=int32), array([554,   3, 481,  99, 339, 194, 208, 332, 569, 502, 307, 359, 544], dtype=int32), array([554, 194, 213, 208, 333, 502,  77,  19,  11, 234, 481, 321], dtype=int32), array([156, 570, 221,  13, 193, 208,  64, 502,  69, 339, 358,  13,  74,\n",
      "        10,  60,  69,  53,   8, 384], dtype=int32), array([439, 301, 481, 387, 353,  32, 194, 208,  64, 502, 543, 132], dtype=int32), array([189, 513,  55, 200,  13, 410, 515, 193, 208, 128, 502, 379], dtype=int32), array([157, 530,  26, 196, 208,  77, 502, 128, 201, 564], dtype=int32), array([358, 345, 524, 487, 554, 194,  50,  66,  73,  77,  40, 137], dtype=int32), array([276,  32, 194, 208,  69, 502,  64,  19, 341, 496, 339], dtype=int32), array([276,  32, 194, 215, 208,  77, 502,  64, 358, 546,  19,   8, 350,\n",
      "       384, 358, 546], dtype=int32), array([ 50, 484,  43, 194, 208, 137, 502,  64, 561, 462, 234, 379], dtype=int32), array([230,  89, 232, 211, 208, 481, 137,  29, 502, 159], dtype=int32), array([557,  26, 427,  64], dtype=int32), array([276, 481, 165, 194, 208,  64, 502, 137, 358,  13, 317], dtype=int32), array([439, 301, 481, 194, 208,  77, 502, 376], dtype=int32), array([554, 194, 208, 543, 502, 506], dtype=int32), array([30], dtype=int32), array([232,   0, 273,  13, 193, 504, 263, 208, 328, 502, 229, 561, 150, 383], dtype=int32), array([358, 206, 232, 331, 502, 425,  32, 194, 480, 268,  64,  40,  58,\n",
      "       234, 128,  72,   8, 384], dtype=int32), array([557, 530,  26, 194, 213, 495, 137], dtype=int32), array([276, 194, 208,  64, 502,  77, 270,  73,   8, 384,  40,   9, 384,\n",
      "       358,  65, 171], dtype=int32), array([554, 241, 481, 265, 532,  22, 193, 270, 376,  40, 408, 502,  77], dtype=int32), array([554, 193, 269, 128, 200,  64, 358,  65, 524, 435, 234, 481, 174], dtype=int32), array([439, 301, 194, 208, 543, 502,  77, 358, 206], dtype=int32), array([439, 301,  32, 481, 194, 208, 137,  40,  32, 481, 194, 208, 307,\n",
      "       480,  58,  62,  69,  53, 341], dtype=int32), array([554,   4, 481, 148,  73, 182, 111, 390,  40, 182, 111,  67], dtype=int32), array([232,   0, 273, 502, 213, 208,  77, 502, 415, 205, 461, 234, 379], dtype=int32), array([439, 301, 481, 194, 270, 416, 363, 463, 208, 312, 502, 378], dtype=int32), array([230, 296, 422, 234,  13,  10], dtype=int32), array([ 32, 194, 208, 379, 502, 376, 480,  58,  62,   8, 350, 334, 518], dtype=int32), array([554,   4, 481, 288, 410, 515, 182, 208, 137, 502, 379], dtype=int32), array([276,  32, 194, 358, 120, 208, 137, 502, 100, 557, 138,  19,  10, 384], dtype=int32), array([554, 168, 194,  50,  66, 208, 128, 502,  69, 358, 134, 434], dtype=int32), array([439, 301,  32, 481, 359, 544, 183, 208, 466, 502, 319], dtype=int32), array([212, 301, 481, 194, 208, 312, 502, 452, 286, 270, 463, 321], dtype=int32), array([ 64, 502, 379], dtype=int32), array([554,  50,  32, 481,  66, 303], dtype=int32), array([232, 565, 273, 502, 196, 208, 137, 502, 379, 358, 530,  26], dtype=int32), array([357, 232,   2, 450, 123, 570, 473, 301, 554, 194, 268,  64,  40,\n",
      "        58, 234, 376,  53,   8, 350], dtype=int32), array([232,   0, 273, 502,  75,  13, 193, 208, 137, 502, 379,  40, 232,\n",
      "         0, 273, 502, 213, 358, 167,  26], dtype=int32), array([276, 127, 194, 208, 137, 502,  69], dtype=int32), array([230, 324, 157,  13, 190, 105, 498, 121, 208,  77, 502, 415, 205,\n",
      "       410, 515], dtype=int32), array([554, 241, 481,  99, 193, 208, 415, 205, 502, 379, 358, 463], dtype=int32), array([237, 353,  13, 193, 208,  64, 502, 379], dtype=int32), array([230, 296, 194,  50, 484,  73, 415, 205,  40, 376, 358,  65, 170], dtype=int32), array([554, 275, 430, 241, 234,  77], dtype=int32), array([554,   3, 481, 194, 208, 332, 569, 104, 502, 260, 539, 480,  58,\n",
      "       358,  13, 463], dtype=int32), array([554, 241, 412], dtype=int32), array([232,   0, 273, 502, 293,  13, 515,  73,  64,  40,  77, 232, 560,\n",
      "       502, 254, 481,  99, 182], dtype=int32), array([439, 301, 194, 208,  77, 502, 137, 358, 518], dtype=int32), array([232, 331, 502, 254, 237, 200, 194, 270, 128, 358, 518, 174,  40,\n",
      "       408, 502,  64], dtype=int32), array([439, 301,  32, 194, 208, 379, 502,  77,  78, 152,  40, 117, 480,\n",
      "       138, 379,  19,   8, 384], dtype=int32), array([230, 324, 157, 481,  37,  26, 193,   9, 208, 128, 502, 415, 205, 121], dtype=int32), array([557,  26, 196,  73,  69,  40, 415, 205], dtype=int32), array([439, 339, 194, 208, 332, 569, 502, 307, 358,  13, 518, 557, 121,\n",
      "       271, 478,  10, 158, 359, 544], dtype=int32), array([229,  30], dtype=int32), array([439, 301,  32, 481, 194,  60,  53, 341, 234, 543, 132, 208, 137], dtype=int32), array([439, 301, 194, 208, 128, 502,  69], dtype=int32), array([439, 301, 481, 217, 512, 502, 553, 124], dtype=int32), array([439, 301, 481, 194, 208, 107, 502, 306], dtype=int32), array([232, 565, 273, 502, 254, 481, 194, 208, 137, 502, 379, 270, 358, 317], dtype=int32), array([565, 570,  70,   7, 502,   7, 301, 358,  13, 193, 561, 136, 270,\n",
      "       481, 321, 353,  65, 524, 435, 208,  69, 502, 415, 205], dtype=int32), array([554,  50, 481, 194, 208, 328, 502, 466, 358, 518, 481, 170, 353, 299], dtype=int32), array([ 32, 194, 208, 379, 502, 128, 410, 515,  19,   9, 384, 271, 478,  10], dtype=int32), array([439, 301, 481, 194, 208, 413, 256, 104, 502, 312], dtype=int32), array([232, 542,  13, 193, 208, 229, 502, 306, 358, 518, 321], dtype=int32), array([276,  32, 194, 208,  64, 502, 128, 358, 206], dtype=int32), array([232, 542, 502, 196, 208, 137, 502, 415, 205, 561,  62, 267, 359, 458], dtype=int32), array([554, 194,  50,  66, 208, 137, 502, 415, 205], dtype=int32), array([276,  32, 194, 208, 236, 502, 423], dtype=int32), array([439, 301, 481, 194, 208,  77, 502, 415, 205, 480,  58, 234, 481,  20], dtype=int32), array([383, 276,  32, 353, 481, 194, 270,  64, 222, 502,  69,  19,   8,\n",
      "       384, 546,  40,  72,   8,  35, 496], dtype=int32), array([439, 301,  32, 194, 208,  97], dtype=int32), array([439, 301,  32, 152, 194, 208, 415, 205, 502,  77, 139,  72, 341], dtype=int32), array([554,   4, 481, 265, 193, 208, 229, 502, 128], dtype=int32), array([554, 194, 208, 378, 502, 260, 539, 358, 416], dtype=int32), array([194, 208, 312, 502, 378, 358, 416, 363, 463,  37,  26], dtype=int32), array([554, 194, 268, 379,  19,   8, 384, 358, 496,  40,  58, 234, 285,  41], dtype=int32), array([554, 241, 481, 165, 193, 358, 496, 208,  64, 502, 543, 132], dtype=int32), array([554,  50, 481, 110, 194,  73, 128,  40,  69, 270,  65, 476,  40,\n",
      "       408,  65,   7], dtype=int32), array([554, 241, 481, 512, 500, 208, 481,  29, 502,  77], dtype=int32), array([383, 439, 301,  26, 561, 193, 430, 208,  77, 502, 137, 208, 137,\n",
      "       502, 376,  40, 208, 376, 502,  77], dtype=int32), array([554, 241, 136,   4, 419, 353, 321, 194, 502,  64], dtype=int32), array([554,  50, 194,  73,  77,  40, 379, 358,  65, 476], dtype=int32), array([439, 301,  32, 194, 208,  64, 502, 415, 205, 557, 268, 481, 130,\n",
      "        19, 504,  19,   8, 350, 384], dtype=int32), array([230, 296, 103,  50, 428,  86, 289, 561, 190, 105, 194], dtype=int32), array([232, 542, 502, 196, 208,  77, 502,  69], dtype=int32), array([554,  50, 481, 106, 353, 430, 200, 120,  26], dtype=int32), array([554,  50, 481, 194,  40, 183, 208,  77, 502, 376], dtype=int32), array([189,  13, 193,  73, 137,  40, 351, 481, 193, 438, 268, 234, 481,\n",
      "        20,  40,  58, 330,   8, 384, 481, 193, 438,  34,  70, 339], dtype=int32), array([346, 232, 331,  13, 193, 208, 145, 502, 415, 147, 270, 518, 174], dtype=int32), array([554, 384, 194,  50,  66, 208, 376, 502, 379], dtype=int32), array([ 32, 410, 515, 194,  73, 332, 569,  40, 307, 480,  50, 190, 105], dtype=int32), array([276,  32,  37,  26, 194, 208, 378, 502, 312, 557,  58, 358, 546,\n",
      "        19,   8, 384], dtype=int32), array([554, 194,  50, 484, 208, 107, 502, 307, 358, 532,  22, 480,  58,\n",
      "       234, 307,  72,   8, 384], dtype=int32), array([554, 241, 481, 165, 193, 232,  89, 211, 208,  69, 502,  77], dtype=int32), array([554, 241, 481, 288, 386, 182, 208,  64, 502, 415, 205, 358, 193,\n",
      "       136,   9,  40, 136,  10], dtype=int32), array([554, 241, 481,  99, 193, 208, 282,  71, 502, 306], dtype=int32), array([554, 156, 570, 221, 215, 208,  64, 502, 376, 433,  80], dtype=int32), array([212, 301, 481, 194, 208, 415, 205, 502, 543, 132, 200, 134, 190], dtype=int32), array([554, 194,  50,  66, 546,  20, 208, 137, 502, 415, 205], dtype=int32), array([439, 301, 481, 530, 194, 208, 137, 502,  69], dtype=int32), array([554, 241, 481, 141, 500, 353, 481, 265, 193, 353, 530,  26, 208,\n",
      "       137, 502,  77], dtype=int32), array([554,  50, 481, 194, 208,  77, 502,  64], dtype=int32), array([554, 527, 353,  23, 157, 136, 196], dtype=int32), array([554, 241, 300], dtype=int32), array([232,   0, 273, 502, 254, 481, 165, 193, 208,  77, 502, 415, 205], dtype=int32), array([554, 241, 571, 165, 321, 193, 208, 236, 502,  97], dtype=int32), array([554, 241, 481, 288, 182, 208, 137, 502, 379], dtype=int32), array([241, 484,  13, 302, 358, 136, 193,  10, 208, 415, 205, 502, 128,\n",
      "       201, 564], dtype=int32), array([554, 500, 157, 481, 193, 268, 137, 215, 502, 415, 205, 358, 120,  26], dtype=int32), array([554,  25, 241,  17], dtype=int32), array([232, 565, 273, 502, 189,  13, 193, 480, 214, 208,  77, 502, 367,\n",
      "       232, 565, 273, 242, 502, 221,  13, 458, 234, 332, 569,  40, 232,\n",
      "       565, 273,  13, 193, 480, 429,  80], dtype=int32), array([532,  22, 194, 139, 208,  97,  53,   8, 384], dtype=int32), array([554,   4, 481, 165, 193, 270, 137, 200, 379], dtype=int32), array([189, 301,  13, 193, 358, 530, 208,  77, 502, 415, 205, 561,  13,\n",
      "       459, 234, 137], dtype=int32), array([193, 208, 543, 132, 502, 413, 256, 104], dtype=int32), array([276,  32, 194, 208, 313, 502, 282,  71, 358, 416], dtype=int32), array([157, 311, 178, 427, 236], dtype=int32), array([439, 301, 481, 165, 194, 208,  77, 502, 137, 358, 546], dtype=int32), array([439, 301,  32, 481, 194, 502,  69,  19,   8, 350, 384], dtype=int32), array([ 13,  80, 193, 208, 137, 502, 415, 205, 383], dtype=int32), array([554, 526, 353, 381, 241,  39, 292], dtype=int32), array([554, 194, 208, 229, 502, 312, 358, 206, 234, 481, 174, 358,  37,  26], dtype=int32), array([383, 473, 301, 481, 501, 353, 481, 194,  73,  77,  40,  69], dtype=int32), array([208,  64, 502, 543, 132], dtype=int32), array([232, 542,  13, 193, 480, 269, 496,  53,   8, 384, 208, 100, 502,\n",
      "       251, 104], dtype=int32), array([439, 194, 208, 306, 502, 260, 539], dtype=int32), array([157,  37,  26, 196, 208, 379, 502,  64], dtype=int32), array([554, 410, 515, 194,  73,  64,  40, 137,   7, 200, 182, 111, 394], dtype=int32), array([232, 331, 502, 196, 208,  77, 502, 137, 491, 317], dtype=int32), array([357,  89, 570, 473, 301, 481, 165, 193, 557, 269, 208, 376, 502, 128], dtype=int32), array([193, 208, 137, 502,  77], dtype=int32), array([439, 301,  32, 194, 208, 415, 205, 502, 255, 218, 339], dtype=int32), array([208, 260, 539, 502, 378], dtype=int32), array([439, 301, 217, 512, 237, 200, 128, 201, 564], dtype=int32), array([554,   4, 481,  99, 193, 208,  64, 502,  69], dtype=int32), array([554,  50, 481, 194, 208, 319, 502, 100], dtype=int32), array([554, 241, 481, 386, 353,  13, 359, 544, 182, 208,  64, 502,  77], dtype=int32), array([212, 301, 481, 120, 194, 208, 423], dtype=int32), array([241, 484, 217, 512, 208, 481,  64,  29, 502, 159,  64], dtype=int32), array([554, 241, 481, 121, 200,  13, 359, 544, 515, 208, 379, 502,  64], dtype=int32), array([ 99, 182, 208, 236, 502, 423], dtype=int32), array([439, 301, 532,  22, 194, 208, 379, 502, 415, 205, 190, 105, 358, 317], dtype=int32), array([554, 241, 481, 165, 193, 208,  77, 502, 351, 480, 429,  13, 302], dtype=int32), array([439, 301, 481, 526, 353,  23, 480, 125, 535], dtype=int32), array([554, 241,   7], dtype=int32), array([383, 276, 481, 317, 321, 194, 208, 251, 104, 502,  64], dtype=int32), array([554, 241, 481,  99, 498, 208,  69, 502, 415, 205, 358, 206,  65, 489], dtype=int32), array([212, 301, 194, 480,  58, 234,  69, 208,  64, 137,  40, 379], dtype=int32), array([ 77, 502, 137, 317], dtype=int32), array([439, 301, 217, 512, 234,  77,  40, 234,  69], dtype=int32), array([276, 481, 410, 515, 194, 208, 452, 372, 502, 415, 247], dtype=int32), array([439,  32, 194, 208, 379, 502, 351], dtype=int32), array([276,  32, 194, 480, 268, 208,  69, 363, 137, 363, 379,  40,  58,\n",
      "       234, 376], dtype=int32), array([554,  26,  50, 484], dtype=int32), array([232, 331,  13, 193, 502, 423, 270, 208,  69, 295,  13, 458, 234, 313], dtype=int32), array([208, 137, 502, 379, 358,  49, 524, 190, 232, 331, 481,  99, 193], dtype=int32), array([439, 301,  32, 481, 136, 194, 270, 379,  73,   9,  40,   8, 234,\n",
      "       481,  20], dtype=int32), array([ 32, 194, 208, 543, 132, 502, 415, 205,  19,   8, 384, 358, 345,\n",
      "       522, 168, 105], dtype=int32), array([276, 194,  73,  77,  40, 415, 205, 480, 427,  80], dtype=int32), array([439, 301, 194, 208, 137, 502, 376, 358,  13, 317], dtype=int32), array([232, 565, 273, 502, 293,  13, 410, 515,  73, 543,  40, 415, 205], dtype=int32), array([439, 301,  32, 194, 208, 415, 205, 502, 137], dtype=int32), array([232,   0, 273, 502,  54,  13, 193, 208, 379, 502,  64], dtype=int32), array([554, 217, 512, 241,  66, 234,  64], dtype=int32), array([554, 241, 481, 410, 515, 121, 353,  13, 190, 105, 498, 208,  77,\n",
      "       502, 415, 205], dtype=int32), array([383, 276, 384, 194, 208,  77, 379], dtype=int32), array([212, 301, 194, 208,  64, 502,  69], dtype=int32), array([554, 217, 512, 241,  66,  62, 481,  69,  29], dtype=int32), array([232, 565, 273,  39, 166, 321, 193, 358, 249, 190, 208, 100, 240,\n",
      "       423, 358, 120,  26], dtype=int32), array([194, 208, 328, 502, 367, 127], dtype=int32), array([232, 542,  13, 193, 208, 506, 502, 415, 147, 480, 462, 234, 452,\n",
      "       286,  50, 484, 194], dtype=int32), array([383,   7, 301, 481, 526, 353,  23, 534, 358,  13, 193, 208,  64,\n",
      "       502, 137,  72,   9, 350, 341], dtype=int32), array([554, 241, 481,  14, 200,  91,  26, 239], dtype=int32), array([410, 515, 183, 208, 137, 502, 376, 529,  11, 158,  40, 379, 502,\n",
      "       376, 529,  11, 158], dtype=int32), array([346, 276, 200, 301, 360, 481, 530, 194, 480, 193, 208, 351, 502,  77], dtype=int32), array([554, 157, 146, 304], dtype=int32), array([232, 331,  13, 193, 504, 208, 114, 502, 313], dtype=int32), array([232, 565, 273, 502, 268, 166, 234, 481, 321], dtype=int32), array([439, 301,  32, 521, 194, 383], dtype=int32), array([554, 157, 481, 302, 111, 411, 453, 200], dtype=int32), array([554,  25, 241, 162, 481,  14, 200], dtype=int32), array([554, 194, 208, 367, 502, 466, 358, 416], dtype=int32), array([276, 127, 194, 208,  77, 502, 351, 536, 521], dtype=int32), array([190, 194,  40, 183, 208, 379, 502,  64, 358,  13, 496], dtype=int32), array([211, 301,  13, 190, 105, 193, 358,  37, 502, 415, 205, 358, 518,\n",
      "       334, 548], dtype=int32), array([554,  50, 481, 406, 358, 481,  99, 359, 544, 182,  73,  77,  40, 351], dtype=int32), array([554,  50, 481, 183, 208, 333, 502, 255, 317,  40, 546], dtype=int32), array([230, 296, 190, 105, 194, 157, 530,  26, 221, 139, 208,  77, 503], dtype=int32), array([212, 301, 481, 265, 193, 504, 358, 530,  26, 208, 312, 502, 466], dtype=int32), array([194, 208, 236, 502, 423], dtype=int32), array([439, 301, 481, 530,  26, 194, 208, 137, 502,  69, 270, 358, 249, 203], dtype=int32), array([554, 157, 481, 182, 111, 179, 304], dtype=int32), array([232, 565, 273, 502,  75,  13, 193, 200,  65, 524, 435, 208,  69,\n",
      "       502, 415, 205, 358, 532,  22], dtype=int32), array([439, 301,  32, 194, 208, 319], dtype=int32), array([232, 542, 502, 196, 208, 145, 502, 452, 375, 358, 344,  26,  40,\n",
      "       268,  53,   8,  35, 473, 301, 554,  23,  50, 534,  86, 491, 193,\n",
      "        40, 473, 301, 481, 193, 347], dtype=int32), array([554, 241, 405,  46], dtype=int32), array([554, 194, 208,  77, 502, 379,  19,  10, 384], dtype=int32), array([232, 331,  39, 166, 193, 208, 137, 502, 415, 205, 383,  40, 232,\n",
      "       565, 273,  80, 428, 358, 480], dtype=int32), array([232,   0, 273, 502, 213, 502,  77, 208, 137,  40, 232,   0, 273,\n",
      "       502, 211, 484], dtype=int32), array([ 32, 194, 208, 319, 271, 478,  10, 158], dtype=int32), array([439, 301, 481, 288, 182, 200,  13, 410, 515, 193, 208,  69, 502, 128], dtype=int32), array([157, 532,  22, 221,  43, 194, 369, 353,  64, 502, 137], dtype=int32), array([554, 241, 481,  99, 182, 208,  69, 502, 128, 234,  43, 105], dtype=int32), array([439, 301, 481, 194, 208,  69, 502,  77], dtype=int32), array([123, 570, 212, 301,  13, 193,  73, 379,  40, 376], dtype=int32), array([554,  50, 481, 194, 208, 379, 502,  69], dtype=int32), array([439, 301,  32, 152, 194, 208, 128, 201, 564, 502, 172, 415, 205,\n",
      "       363, 351], dtype=int32), array([194, 208, 351, 502, 415, 205], dtype=int32), array([439, 301, 194, 208,  64, 502, 543, 132, 270, 358, 496], dtype=int32), array([439, 301, 481, 183, 200,  13, 190, 105, 498, 208,  69, 502, 128], dtype=int32), array([383, 276, 481, 496, 321, 194, 208, 452, 286, 502, 452, 372], dtype=int32), array([299, 232, 425,  32, 481, 194, 208, 107, 502, 128], dtype=int32), array([194, 208, 553, 124, 502, 415, 205, 127], dtype=int32), array([554,  20, 194,  50,  66,  73, 137,  40, 128, 201, 564], dtype=int32), array([276, 481, 194, 480, 268, 208, 376, 502,  64, 166, 496, 321,  72,\n",
      "         8,  35], dtype=int32), array([554, 194,  50,  66, 208, 137, 502, 376, 358, 546], dtype=int32), array([ 99, 410, 515,  24, 208, 466, 502, 367], dtype=int32), array([157, 136,  26, 196, 208,  77, 502, 543, 132], dtype=int32), array([554, 500, 157, 481, 518, 321,  10, 193, 270, 543,  58, 234, 415, 205], dtype=int32), array([276,  32, 194, 215, 208,  77, 502,  64,  19,   8, 350, 384, 358, 546], dtype=int32), array([241, 484,  13, 193, 208,  64, 502, 415, 205, 557,   7, 234, 128], dtype=int32), array([359, 544, 194, 208, 361, 502, 466, 270,  72,   9,  35, 358,  43,\n",
      "       130,  40, 190, 105], dtype=int32), array([439, 301, 481, 150, 194, 208,  69, 502, 351], dtype=int32), array([554,  25, 241, 231], dtype=int32), array([439, 301, 481, 194, 208, 379, 502,  69], dtype=int32), array([532,  22, 334, 546, 208, 107, 502, 307], dtype=int32), array([555, 241, 481, 190, 193, 270, 208, 351, 502,  77], dtype=int32), array([439, 190, 193, 208,  77, 502, 376], dtype=int32), array([383, 276,  32, 194, 208, 415, 205, 502, 379, 358, 463], dtype=int32), array([439, 301, 481, 194, 208, 415, 147, 502, 543, 132], dtype=int32), array([439, 301, 481, 276, 353, 194, 208, 128, 502,  69, 358,  37,  40,\n",
      "       136,  26], dtype=int32), array([383, 276,  32, 194,  73,  77,  40, 376,   7, 358, 464], dtype=int32), array([439, 194, 208, 376, 502,  77], dtype=int32), array([241, 484,  13, 136, 193, 208,  77, 502, 137], dtype=int32), array([554, 526, 353,  23, 269, 208,  77, 502, 543, 132,  72,   8,  35], dtype=int32), array([358, 530,  26, 212, 301, 481, 193, 501, 208,  77, 502, 128], dtype=int32), array([ 89, 570, 212, 301, 237, 358,  32, 481, 194, 208, 415, 205, 338,\n",
      "       208, 379, 502, 415, 205, 358, 317], dtype=int32), array([439, 301,  32, 194, 208, 376, 502,  69], dtype=int32), array([554, 194, 156, 570, 221,  73, 379,  40,  64], dtype=int32), array([554,  25, 241, 155,   9], dtype=int32), array([554, 241, 481, 121, 353, 194, 208, 137, 502, 415, 205], dtype=int32), array([230,  16,  49, 524, 435, 137, 502, 543], dtype=int32), array([232, 565, 273,  13, 321, 193, 208, 312, 502, 137, 113, 383], dtype=int32), array([321, 193, 208,  64, 502, 376], dtype=int32), array([ 89, 570, 276,  32, 194, 480, 138, 208, 367, 502, 251, 104], dtype=int32), array([554,  25, 241,  61], dtype=int32), array([358, 120,  26,  43, 105, 430, 208, 415, 205, 502, 379], dtype=int32), array([276, 127, 194, 208,  77, 502,  64], dtype=int32), array([554, 157, 182, 111, 394, 304], dtype=int32), array([554,  50,  32, 194, 502, 137, 208, 376, 358, 463], dtype=int32), array([383, 439, 301, 481, 121, 353, 193, 528,  10, 208,  77, 502, 137,\n",
      "        40, 193, 528,  10, 208,  77, 502, 137], dtype=int32), array([554, 194,  50, 484, 208, 285,  41, 502, 379], dtype=int32), array([193, 208, 128, 502, 351,  88, 358, 317], dtype=int32), array([156, 570, 221,  13, 136, 193, 502, 415, 205, 208, 137, 358,  65,\n",
      "       489, 234, 481, 166, 321], dtype=int32), array([439, 301, 194, 208, 379, 502, 376], dtype=int32), array([439, 301, 194, 208, 376, 502, 351, 358, 206], dtype=int32), array([276, 481, 194, 208, 137, 502, 415, 205,  19,   8, 384, 358,  13, 317], dtype=int32), array([232,   0, 273, 194, 358,  37, 208, 376, 502, 128,  60,  72,  11,  35], dtype=int32), array([189, 301, 481, 165, 193, 208,  77, 502,  64,  40, 481, 265, 407,\n",
      "       208,  64, 502,  77, 562, 481, 414, 130], dtype=int32), array([554,  50, 481, 110, 183, 200, 194, 208,  97, 502, 333, 518, 174], dtype=int32), array([194, 208, 137, 502, 553, 124, 332, 569, 550], dtype=int32), array([439, 301, 481, 194], dtype=int32), array([439, 301, 481, 194,  66, 208, 415, 205, 502, 379, 200, 518,  40,\n",
      "        34, 481, 386], dtype=int32), array([276, 194, 208, 319, 502, 543, 561, 481, 288, 359, 544, 183, 480,\n",
      "       269, 358, 416], dtype=int32), array([276,  32, 339, 194, 208, 285,  41, 502, 379, 557,  58,  72,   8,\n",
      "       384, 358, 518], dtype=int32), array([193, 270, 208, 351, 502, 413, 256, 104], dtype=int32), array([193, 237,  73, 543,  40, 137, 358, 426, 487], dtype=int32), array([554, 241, 182, 111, 219], dtype=int32), array([232,   0, 273, 502, 189,  13, 193, 208, 260, 539, 502, 145, 308,\n",
      "       480, 269, 234, 481,  20, 358, 317], dtype=int32), array([230, 296, 339, 194, 215, 208, 128, 502, 351, 248, 524, 435], dtype=int32), array([554, 194,  50, 484, 208, 333, 502, 471], dtype=int32), array([554, 241, 481, 386, 353,  13, 190, 105, 498, 208, 312, 502, 415,\n",
      "       205, 410, 515], dtype=int32), array([241, 484, 217, 512, 208, 481,  29, 502, 159, 378], dtype=int32), array([439, 301, 481, 394, 182, 194,  73,  64,  40, 351, 358, 136,  26], dtype=int32), array([439, 301,  32, 481, 194,  73, 351,  40, 137], dtype=int32), array([157, 311, 178, 221,  43, 194, 208, 319, 502, 145], dtype=int32), array([439, 301,  32, 481, 194, 208,  64, 502,  69, 358,  43,  25, 358, 496], dtype=int32), array([554, 193, 156, 570, 221, 208, 128, 502, 137, 358,  65, 524, 435,\n",
      "       234, 481, 321], dtype=int32), array([554, 194, 213, 208, 376, 502, 128, 561,  13, 459, 234,  64], dtype=int32), array([554,  50,  32, 194, 208, 379, 502,  77, 358, 547], dtype=int32), array([358, 248, 171, 232,   0, 273,  13, 193, 208, 333, 502, 367, 234,\n",
      "       481, 321], dtype=int32), array([232, 331, 237, 358, 194, 200, 518, 270,  69, 200, 128, 128, 502,\n",
      "        77,  40,  77, 502,  69], dtype=int32), array([554,   4, 481,  99, 193, 208, 415, 205, 502,  77], dtype=int32), array([193, 237, 208, 415, 205, 502, 379], dtype=int32), array([232, 331, 502, 213, 208, 376, 502, 128], dtype=int32), array([232, 542, 502, 196, 208, 312, 502, 367, 358, 172, 546, 174, 363,\n",
      "       496, 321], dtype=int32), array([232, 565, 273,  13, 193, 208, 251, 104, 502, 452, 372, 139,  62,\n",
      "         8, 384], dtype=int32), array([339, 194, 137, 502,  77], dtype=int32), array([554, 194, 208, 307, 502, 236], dtype=int32), array([376, 502,  77, 317], dtype=int32), array([439, 301, 481, 339, 194, 208, 128, 502, 229], dtype=int32), array([ 50, 484,  43, 194, 334, 317, 321, 208, 379, 502, 415, 205], dtype=int32), array([554,  50, 481, 166, 549, 194, 208, 415, 205, 502, 379], dtype=int32), array([360, 439, 120, 194], dtype=int32), array([208, 378, 502, 137, 358,  13, 317], dtype=int32), array([230, 296, 194, 157, 120,  26, 221, 561,  13, 105, 353, 430, 111, 179], dtype=int32), array([554, 241, 481, 386, 353,  13, 359, 544, 182, 208,  77, 502, 137,\n",
      "       358, 120,  26], dtype=int32), array([232,  35, 284, 200, 481,  99, 182, 208, 236, 502, 367, 358, 134,\n",
      "       524, 435], dtype=int32), array([157, 532,  22, 221,  13, 193, 208, 506, 502, 413, 256, 104, 317,\n",
      "       299, 490, 190], dtype=int32), array([554,  23, 220, 481,   7, 421,  92], dtype=int32), array([439, 301, 194, 208, 415, 205, 502, 313], dtype=int32), array([439, 301,  32, 481, 194, 208,  81, 502, 137], dtype=int32), array([230, 296, 374, 196, 358,  13, 520], dtype=int32), array([554, 194, 208, 260, 539, 502, 415, 147], dtype=int32), array([232, 565, 273,  39,  20, 193, 270, 518, 415, 147, 502, 236], dtype=int32), array([554, 241, 481, 193, 419, 353, 481, 180, 208, 379, 502,  69], dtype=int32), array([439, 301,  26,  73,  77,  40, 415, 205], dtype=int32), array([439, 301, 194, 208, 128, 502, 379], dtype=int32), array([554, 217, 512, 241,  66, 234, 333], dtype=int32), array([554,  50, 481, 106, 353, 430, 358, 136,  26], dtype=int32), array([439, 301, 481, 194, 208, 137, 502, 376], dtype=int32), array([554,  50, 481, 463, 194, 208, 351, 502, 543, 132], dtype=int32), array([439, 301, 481, 217, 512, 234, 137], dtype=int32), array([ 89, 570, 439, 301, 554, 194,  50,  66, 358, 134, 441, 215, 208,\n",
      "       351, 502, 128], dtype=int32), array([232,   0, 273, 481,  99, 359, 544, 182, 208,  77, 502, 415, 205], dtype=int32), array([554, 194, 268,  97, 343,  94,  40,  58, 234, 378,  52, 358, 317,\n",
      "        72,   8, 384], dtype=int32), array([554, 241, 481,  99, 182, 200,  13, 359, 544, 193, 208,  77, 502,  64], dtype=int32), array([276,  32, 194, 270, 415, 205, 317,  20,  60, 234, 379], dtype=int32), array([276, 385, 410, 515, 127, 194,  73,  77,  40, 351], dtype=int32), array([241, 484,  13, 530, 193, 208,  69, 502, 415, 205, 358, 481, 321,\n",
      "       353,  65, 524, 435], dtype=int32), array([232, 331,  13, 193, 208, 102, 502, 415, 247, 270,  19,   8, 234,\n",
      "       481, 174], dtype=int32), array([554, 241, 481, 326, 353, 481,  29,  62, 137], dtype=int32), array([232,   2, 284, 200,  13, 193, 208, 379, 502, 415, 205], dtype=int32), array([ 32, 194, 208, 307, 502, 332, 569], dtype=int32), array([439, 301, 481, 120, 194, 561, 303, 557, 138, 423, 358, 463, 200, 100], dtype=int32), array([232, 221, 525, 207, 480, 565, 273, 502,   7, 301, 358, 546, 225,\n",
      "       234, 543, 132, 359, 353,   7, 279, 234, 137,  40, 481, 368, 279,\n",
      "       234, 307], dtype=int32), array([167, 192, 208,  64, 502, 137, 554, 526, 353,  23, 156, 570, 533,\n",
      "        72,   8, 384], dtype=int32), array([212, 301,  13, 276, 353, 481, 321, 194, 208,  64, 502,  77], dtype=int32), array([439, 301, 481,  23, 480,  91,  26, 535], dtype=int32), array([230, 156, 570, 211, 208, 481,  29, 502, 159, 128, 383], dtype=int32), array([554, 194, 208, 313, 502, 379], dtype=int32), array([554, 241, 481, 121, 353, 275, 430, 234, 376], dtype=int32), array([383, 212, 301,  13, 276, 353, 194, 270,  77, 215, 502, 379], dtype=int32), array([554, 194, 268, 415, 205, 358, 317, 335,  40,  58,  62,  64, 264,\n",
      "       234, 481, 174], dtype=int32), array([439, 301,  32, 194, 358, 451,  26, 208, 415, 147, 502, 415, 205], dtype=int32), array([554, 241, 481, 265, 193, 232,  89, 467, 208, 543, 502, 415, 205], dtype=int32), array([439, 301,  32, 481, 521, 194, 208, 236, 502, 229, 480,  58,  53,\n",
      "         9,  35], dtype=int32), array([232, 542,  13, 193, 208,  64, 502, 379], dtype=int32), array([554,  26, 196, 208, 506, 502, 415, 147], dtype=int32), array([554,  50, 481, 194, 358, 518, 352, 190, 208,  64, 502,  69], dtype=int32), array([554, 157, 162, 304], dtype=int32), array([554,  26, 196, 208, 128, 502,  69], dtype=int32), array([193, 208,  77, 502,  69], dtype=int32), array([439, 301, 481, 451,  26, 194, 208, 415, 147, 502, 415, 205], dtype=int32), array([232, 565, 273, 502,  75,  13, 193, 208,  69, 502, 415, 205,  72,\n",
      "         9, 350, 358, 518], dtype=int32), array([481,  99, 194, 208,  64, 502, 376, 480,  58,  19,   9, 384, 358,\n",
      "        13, 518], dtype=int32), array([554, 194,  50, 484, 208,  64, 502, 543, 166, 358, 496, 322], dtype=int32), array([232, 565, 273, 502, 196, 208, 413, 256, 104,  68, 502, 452, 375,\n",
      "       358, 546], dtype=int32), array([232, 565, 273,  13, 193,  73, 137,  40, 415, 205, 270, 208, 137,\n",
      "       234, 481,  20,  40,  60,  62,   8, 384, 242,   7,  70,  13, 339, 193], dtype=int32), array([439, 301,  13, 276, 353, 194, 358, 248, 524, 424, 270, 132, 502,\n",
      "       128, 270, 132,  19,   8, 384], dtype=int32), array([554, 194, 458, 234,  64,  72, 341], dtype=int32), array([554,  50, 481, 530,  26, 194,  73,  69,  40, 137, 358,  65, 522], dtype=int32), array([439, 301, 481, 194, 358, 136, 480, 213, 495,  64], dtype=int32), array([554, 194,  50, 389,  86,  37,  26], dtype=int32), array([439, 301, 194, 208,  44, 502, 376,  60,  19,  11], dtype=int32), array([439, 301, 481,  26,  73,  77,  40, 137], dtype=int32), array([232, 542, 237, 358, 194, 208,  64, 502, 543, 132, 212, 301, 237,\n",
      "       358, 194,  19,   8, 384, 358, 546], dtype=int32), array([232, 542, 502, 196, 208,  69, 502, 128, 410, 515], dtype=int32), array([554, 194, 268, 208, 100, 502, 423, 358, 416], dtype=int32), array([439, 190, 193, 208, 379, 502,  64, 358, 546], dtype=int32), array([232, 542,  13, 193, 358, 416, 208, 313, 502, 282,  71], dtype=int32), array([557, 530,  26, 193, 192,   7, 491,   7,  40, 269, 208,  77, 214,\n",
      "       502, 128,  40, 294,  13, 459, 234, 376], dtype=int32), array([232, 331,  13, 410, 515, 193, 208, 102, 502, 415, 247,  88], dtype=int32), array([232, 331, 502, 467, 474, 374, 208, 378, 502, 415, 147, 383, 212,\n",
      "       301, 481, 194, 161, 548, 131], dtype=int32), array([554, 157, 481,  14, 528, 304], dtype=int32), array([232, 331,  13, 193, 208, 251, 104, 502, 100, 334, 546, 480,   7,\n",
      "       100,  53,   8, 234, 481, 174], dtype=int32), array([439,  32, 194, 208, 379, 502, 415, 205, 358, 248, 524, 171,  11], dtype=int32), array([383, 439, 301,  26, 561, 410, 515, 194, 208,  77, 502, 137, 458, 376], dtype=int32), array([439, 301,  43, 439, 301, 554, 481, 190, 105, 183,  50, 353, 481,\n",
      "       194, 208, 379, 502, 415, 205, 358, 317], dtype=int32), array([339, 194, 208, 423, 502, 137], dtype=int32), array([232, 542, 502, 196, 208,  77, 502, 415, 205], dtype=int32), array([232,  35, 238, 234,  13, 193, 208, 102, 502,  81, 481, 193, 438,\n",
      "        70,  37,  40, 268, 234, 481,  20, 232, 331, 502, 254, 481,  23,\n",
      "        40, 193, 347], dtype=int32), array([299, 232, 221,  13, 277, 353, 194, 208, 312, 502, 466, 543, 139,\n",
      "       234, 481, 174], dtype=int32), array([439, 301, 481, 194, 208, 506, 502, 102], dtype=int32), array([232, 565, 273,  39, 174, 193, 208, 379, 502, 285,  41, 358, 249, 487], dtype=int32), array([ 89, 570, 473, 301,  16, 217, 512,  73, 481, 128,  29,  40, 159, 128], dtype=int32), array([439, 301,  32, 194, 208, 415, 205, 502, 543, 132], dtype=int32), array([554, 194,  50,  66, 206,  20, 208, 376, 502, 351,  88], dtype=int32), array([439, 301,  32, 194,  60,  62, 287, 186, 208, 368,  30], dtype=int32), array([554, 344,  25, 194, 268, 137,  72, 341], dtype=int32), array([439, 301, 481, 194, 208,  32,  30, 502, 287, 186], dtype=int32), array([439, 301,  32, 481, 194, 208, 312, 502, 367, 480, 268,  19, 341,\n",
      "       358, 546,  40,  72, 341, 358, 496], dtype=int32), array([439, 194, 208,  69, 502, 415, 205,  73,   8, 384,  40,   8, 384,\n",
      "       358, 206], dtype=int32), array([123, 570, 473, 301, 233, 136, 193,  10, 429,  80], dtype=int32), array([383, 439, 301, 481, 194, 208, 137, 502,  69,  73,   9,  35,  40,\n",
      "         8, 384], dtype=int32), array([439,  32, 194, 208, 379, 502, 415, 205], dtype=int32), array([ 50, 484,  43, 194,  73, 379,  40,  69, 536,  13,   7,  23], dtype=int32), array([194, 208,  69, 502, 415, 205], dtype=int32), array([232,   0, 273, 502, 254, 481, 265, 193, 208,  64, 502,  77], dtype=int32), array([554, 194, 156, 570, 221, 208, 361], dtype=int32), array([288, 182, 208, 415, 205, 502, 367], dtype=int32), array([439, 301, 501, 200, 194, 208, 415, 205, 502,  64], dtype=int32), array([554, 241, 481, 165, 193,  60, 234,  97, 208, 452, 286, 358, 206], dtype=int32), array([346, 232,   0, 273, 502, 425, 194, 208, 145, 502, 452, 375, 358,\n",
      "       481, 334, 518], dtype=int32), array([557,  26, 196, 208,  77, 502, 543, 132], dtype=int32), array([439, 301, 481, 194, 208,  69, 502, 351, 383], dtype=int32), array([232,   0, 273, 237, 358,  13, 193, 208, 137, 502, 415, 205, 358,\n",
      "       530,  22], dtype=int32), array([439, 301,  32, 194, 208,  77, 502, 145], dtype=int32), array([241,  80, 428, 358, 193, 528,  10, 208,  77, 502, 137, 110, 105], dtype=int32), array([439, 301, 481, 217, 512, 234, 481, 413, 256, 104,  29], dtype=int32), array([554, 157, 481,  14, 109, 304], dtype=int32), array([276, 481, 194, 208, 229, 502, 452, 372], dtype=int32), array([554, 241, 481, 165, 193, 208,  77, 502,  64], dtype=int32), array([439, 301,  32, 194, 208, 251, 104, 502, 100, 358, 249, 442,  60,\n",
      "        53,   8, 350, 234, 481, 174], dtype=int32), array([439, 301,  32, 530, 194, 208, 137, 502, 415, 205, 200, 426, 190,  11], dtype=int32), array([212, 301,  32, 481, 194, 208, 332, 569, 502, 307, 410, 515, 561,\n",
      "       122, 271, 478,  10, 158], dtype=int32), array([439, 301, 481, 194,  72,   8,  35, 358,  65, 424, 208,  77, 502,\n",
      "       137, 358, 136], dtype=int32), array([230, 324, 241,  13, 275,  73, 128, 201, 564, 239,  29,  40, 128], dtype=int32), array([554, 241, 412], dtype=int32), array([554, 194,  50, 484, 208,  64, 502,  69], dtype=int32), array([230, 324, 157, 242, 121, 502, 196, 208,  77, 502,  69, 358,  13, 416], dtype=int32), array([383, 439, 301,  26, 561, 194, 208, 137, 502,  77, 458, 376], dtype=int32), array([194, 208, 137, 502, 100, 358, 463, 358, 120], dtype=int32), array([554, 241, 481, 265, 193, 208, 376, 502,  77], dtype=int32), array([232, 565, 273,  13, 193, 208, 328, 502, 452, 286, 480,  59, 234,\n",
      "       452, 286,  53,   8, 384,  40, 241, 339], dtype=int32), array([232, 331, 571, 224, 561, 237, 358, 217, 512, 208, 481,  29, 234,\n",
      "       376, 502, 159], dtype=int32), array([232,   0, 273, 502, 467,  13, 193, 480,   7, 234,  77,  40,   7,\n",
      "        62, 128, 201, 564,  83, 232,   0, 273, 502, 458, 370, 234, 376], dtype=int32), array([ 89, 570, 398,  13,  93,  62, 455, 239,  29, 234, 137], dtype=int32), array([439, 301, 481, 344, 194, 208, 145, 502, 452, 375], dtype=int32), array([276,  32, 194, 215, 208,  77, 502,  64,  72,   8,  35, 358, 496], dtype=int32), array([554, 157, 126, 411, 453, 200, 200, 303], dtype=int32), array([212, 301,  32, 340, 208, 332, 569, 104, 502, 260, 539, 480,  58,\n",
      "       358,  13, 463], dtype=int32), array([208, 423, 502, 413, 256, 104], dtype=int32), array([439, 301,  32, 194, 208, 379, 557, 268, 504,  40,  58, 234,  77], dtype=int32), array([232, 331,  13, 498, 208, 285,  41, 502,  97, 480, 269, 166, 234,\n",
      "       481, 321], dtype=int32), array([232, 565, 273, 237, 358, 217, 512, 104, 353,  77,  73,  29,  40, 159], dtype=int32), array([439, 301, 183, 208, 128, 502,  69, 480, 121, 271, 478,  10, 158], dtype=int32), array([232, 542, 502, 196, 208,  64, 502, 376, 339], dtype=int32), array([554,  20, 194,  50,  66, 208,  64, 502, 415, 205], dtype=int32), array([554,  50, 481, 321, 194, 208, 328, 502, 466,  40, 208, 328, 502,\n",
      "       415, 247, 234, 481, 334, 525, 131], dtype=int32), array([399,  93, 234,  69], dtype=int32), array([554, 241, 481, 165, 193,  73, 379,  40, 137, 480, 429,  80], dtype=int32), array([439, 301, 194, 502, 376, 115, 208,  69, 363, 137, 363, 379], dtype=int32), array([230, 296,  26, 221, 194, 561, 430, 105, 568], dtype=int32), array([232,   0, 273, 194, 215, 208,  77, 502,  64, 270, 358,  65, 443,\n",
      "       234, 481,  20], dtype=int32), array([439,  32, 317, 194, 208, 415, 205, 502, 379], dtype=int32), array([232,  35, 238, 234,  76,  39, 166, 193, 208, 128, 240, 229,  40,\n",
      "       408, 234, 481, 263, 174], dtype=int32), array([ 32, 194,  40, 183, 208,  64, 502, 128, 410, 515,  19,   9, 384,\n",
      "       271, 478,  11, 158], dtype=int32), array([ 89, 570, 189, 369,  16, 481, 217, 512,  66, 234,  64], dtype=int32), array([232, 331, 193, 237, 270,  64,  40,  60, 234,  69, 200, 317], dtype=int32), array([554, 156, 570, 221, 504,  19,   8, 350, 208,  64, 502, 415, 205], dtype=int32), array([123, 570, 189, 301, 481,  99, 182, 208,  77, 502, 415, 205], dtype=int32), array([554, 194,  50, 484, 358, 546, 174, 363, 496, 321, 208, 137, 502, 436], dtype=int32), array([232, 331,  13, 530,  26, 193, 208, 137, 502,  69, 358, 416], dtype=int32), array([439, 301, 194, 208, 471, 502, 452, 286, 270,  72,   9,  35], dtype=int32), array([230, 296, 190, 105, 194, 157, 530, 221, 270, 208,  32, 103, 503], dtype=int32), array([358,   7,  22, 230, 296, 194, 270, 351, 358, 248, 524, 435, 502,\n",
      "        77, 339], dtype=int32), array([554,  50, 481, 194,  66, 234, 481, 321,  73,  77,  40, 137], dtype=int32), array([554, 500,  50, 481, 194, 208,  69, 502, 415, 205], dtype=int32), array([439, 301, 481, 217, 512, 419, 234, 376, 234, 481, 321, 358, 546], dtype=int32), array([ 50, 484,  43, 194, 208, 312, 502, 466, 358, 206, 249, 173], dtype=int32), array([439, 301,  32, 194, 208, 415, 147, 502, 160, 358,  74,  10], dtype=int32), array([554, 241, 481,  99, 410, 515, 182, 358, 120,  11, 410, 515, 137,\n",
      "       415, 205], dtype=int32), array([554, 194, 213, 208,  77, 502, 367], dtype=int32), array([276,  13, 410, 515, 182, 208, 251, 104, 502, 313, 194], dtype=int32), array([383, 276,  43, 194, 208, 351,  88, 502, 376, 358, 518], dtype=int32), array([439, 301, 481, 194, 208, 319, 502, 377], dtype=int32), array([554,   4, 481, 288, 359, 544, 182, 208, 379, 502, 137], dtype=int32), array([357, 232, 250, 542, 502, 254, 481,  99, 182, 208,  64, 502,  77], dtype=int32), array([439, 301, 481, 183, 208, 543, 502, 351], dtype=int32), array([208, 332, 569, 502, 506, 358, 496, 321], dtype=int32), array([383, 439, 301, 194, 208, 379, 502,  64, 358, 546, 321, 433,  80], dtype=int32), array([212, 301, 481, 194, 208,  77, 502, 415, 205, 270, 166, 503], dtype=int32), array([232,   0, 273, 502,  75,  39, 193, 358,  37,  26, 208,  77, 502,\n",
      "       415, 205, 561, 359, 458, 234, 379], dtype=int32), array([232, 565, 273, 481, 267, 176,  24, 193, 358, 463, 502, 379, 208,\n",
      "       415, 205], dtype=int32), array([189, 301, 481, 165, 193, 208,  77, 502, 137, 480, 429,  80], dtype=int32), array([156, 570, 221, 481, 182, 200, 514, 208, 351,  29, 502, 351, 159], dtype=int32), array([ 32,  35, 194, 139, 379,  60, 137], dtype=int32), array([554, 157, 242, 121, 502, 196, 208,  77, 502, 415, 205, 358, 530,\n",
      "        26, 193,   9], dtype=int32), array([217, 512,  64], dtype=int32), array([232,   0, 273, 502, 425, 194, 208,  69, 502,  64, 480,  58,  72,\n",
      "       341,  40, 232,   0, 273, 502, 425, 194, 208, 137, 502,  64, 480,\n",
      "        58,  72, 341], dtype=int32), array([439, 301, 481, 194, 208, 102], dtype=int32), array([194, 208, 319,  40, 378, 502, 260, 539,  60,  62, 481, 414, 500], dtype=int32), array([439, 301, 481, 194, 208,  77, 502,  69], dtype=int32), array([439, 301, 481, 265, 193, 208, 415, 205, 502, 137], dtype=int32), array([554, 194,  50, 484, 208,  77, 502, 137, 358, 317, 321], dtype=int32), array([479, 570, 232,  34, 331, 502, 513, 334, 546, 174, 208, 128, 502,\n",
      "       415, 205], dtype=int32), array([237, 358, 194, 208, 379, 502, 415, 205], dtype=int32), array([439, 194, 208, 137, 240, 415, 205], dtype=int32), array([439, 301, 136, 194, 208, 128, 502, 137], dtype=int32), array([554, 157, 182, 111, 566, 304], dtype=int32), array([439, 301, 481, 410, 515, 194,  73, 378,  40, 413, 256, 104], dtype=int32), array([232, 565, 273,  13, 193, 208, 376, 502, 128, 480, 294,  13, 458,\n",
      "       234,  64], dtype=int32), array([554, 194, 268, 208, 378, 502,  44], dtype=int32), array([439, 301,  32, 387, 353, 168, 208,  69, 502, 128], dtype=int32), array([554, 335, 193, 156, 570, 221, 208, 415, 205, 502, 137, 358, 530,\n",
      "       358, 481, 174, 353,  65, 524, 435], dtype=int32), array([232, 542,  13, 193, 208, 102, 502,  81, 358,  37,  26,  40, 268,\n",
      "       234, 481,  20], dtype=int32), array([554, 194, 268, 208, 333, 502, 285,  41, 234, 481,  20], dtype=int32), array([554, 241, 481, 265, 193, 208, 415, 205, 502,  77], dtype=int32), array([276,  32, 127, 194,  73,  77,  40, 351,  61, 551,  61,  77,  40,\n",
      "       351, 536,  37,  25], dtype=int32), array([276,  32, 410, 515, 194, 208, 367, 502, 251, 104], dtype=int32), array([383, 439, 301,  32, 410, 515, 194, 208, 332, 569, 502, 307], dtype=int32), array([554, 241, 481,  99, 359, 544, 182, 208, 415, 205, 502,  77, 358,\n",
      "       546,  65, 524, 190], dtype=int32), array([554, 241, 481, 165, 339, 193, 208, 543, 502, 415, 205], dtype=int32), array([554,  26, 196, 208, 332, 569, 502, 312, 502, 285,  41], dtype=int32), array([439, 301, 481, 194, 208,  69, 502,  77], dtype=int32), array([473, 301,  16, 481, 217, 512, 234, 100], dtype=int32), array([554, 241, 182, 111, 179], dtype=int32), array([232, 565, 273, 502, 425, 481, 194, 208,  69, 502, 376], dtype=int32), array([554, 241, 481, 190, 193, 480,   7, 208,  64, 502,  69, 480, 429, 290], dtype=int32), array([383, 212,  32, 194, 208, 128, 502, 351,  88, 317], dtype=int32), array([439,  32, 194, 376, 502, 128], dtype=int32), array([ 99,  24, 208, 367, 502, 466], dtype=int32), array([331,  13, 193, 208, 379, 502, 137], dtype=int32), array([554, 136, 269,  77, 200,  64], dtype=int32), array([481,  99, 194,  73,  77,  40, 376, 557,  58,  73,   8,  40,   8,\n",
      "       350, 358, 518], dtype=int32), array([232, 331,  13, 381, 480,  59, 234, 415, 205,  86,   8, 350, 384,\n",
      "       358, 206,  40, 269, 208,  69], dtype=int32), array([232, 565, 273,  39,  37,  26, 193, 208, 102, 502,  81, 270, 491,  20], dtype=int32), array([554, 194, 213, 208,  77, 502, 128], dtype=int32), array([383, 276, 481, 194, 208,  97, 502, 282,  71,  60,  19, 290, 500], dtype=int32), array([194, 208, 285,  41, 502, 379], dtype=int32), array([554, 194, 268,  77,  40,  58, 234, 376,  72,   8,  35], dtype=int32), array([554,  50, 481, 194, 208, 137, 502, 415, 205, 358, 518, 352, 187], dtype=int32), array([212, 301,  13, 193, 208,  69, 502, 333, 480,  59,  61, 166,  61, 385], dtype=int32), array([383, 276, 481, 518, 194, 208,  64, 502, 452, 286], dtype=int32), array([383, 212, 301, 194, 208,  64, 502,  77, 358, 546,  40, 496], dtype=int32), array([473, 301, 481, 261, 193, 208,  64, 502, 376], dtype=int32), array([554,  50, 481, 194, 208, 452, 286, 502,  81, 463, 174], dtype=int32), array([410, 515, 183, 208, 137, 502, 376, 529,  11, 158], dtype=int32), array([554, 241, 481, 217, 511, 234, 137], dtype=int32), array([554, 252, 353,  28,  50, 534,  86, 136,  26, 197,  73, 543,  40, 137], dtype=int32), array([439, 301,  32, 481, 194, 208, 376, 502, 102], dtype=int32), array([232, 542, 481,  99, 193, 208, 379, 502,  64], dtype=int32), array([276,  32, 194, 215, 208,  77, 502,  64,  19,   8, 350, 384, 358, 546], dtype=int32), array([439, 301, 481, 194, 208,  77, 502, 137, 358,  65, 424], dtype=int32), array([232,   0, 273,  13, 193, 208, 236, 502, 506, 270, 496, 321, 339], dtype=int32), array([557,  25, 220, 481, 323,  57, 234,  64], dtype=int32), array([439, 301,  32, 311, 178, 194, 208, 145, 502, 100], dtype=int32), array([157, 167,  26, 196, 166, 234, 481, 321,  73, 281,  40,  85], dtype=int32), array([357, 212, 301, 481, 194, 480, 268, 137,  19,   8, 384, 334, 317,\n",
      "        60, 234,  77], dtype=int32), array([383, 473, 301, 557,  25, 220, 481, 323, 142, 208,  64], dtype=int32), array([554,  50, 481,  22, 406, 358, 194, 208, 379, 502,  64, 200, 481,\n",
      "        24, 353,  10, 158], dtype=int32), array([439, 301,  32, 194, 208,  64, 502, 137, 557, 268,  19,   8, 350,\n",
      "       384, 481, 130,  19, 504], dtype=int32), array([439, 301, 194, 208, 285,  41, 502, 379, 358, 317, 174], dtype=int32), array([157,  43,  25, 221,  39, 166,  20, 193, 208,  77, 502, 137], dtype=int32), array([ 50, 484,  43, 194, 208, 128, 201, 564, 502,  77, 270,  72,   9,  35], dtype=int32), array([439, 301, 481, 194, 208, 415, 205, 502, 543, 132], dtype=int32), array([439, 301,  30, 234, 543, 132], dtype=int32), array([157,  37,  26, 221,  13, 193, 208, 379, 502,  64], dtype=int32), array([439, 301, 194, 208, 415, 205, 502, 379, 358,  13, 463], dtype=int32), array([439, 301,  32, 481, 152, 194, 208,  69, 502,  64], dtype=int32), array([554, 194,  50,  66, 208, 379, 502,  77, 358, 416], dtype=int32), array([230, 282, 157, 242, 467, 502, 211, 208, 251, 104, 502, 452, 372], dtype=int32), array([232, 542,  13, 193, 208, 415, 147, 502, 236, 480, 269, 518,  20], dtype=int32), array([554, 194, 208,  64, 502, 543], dtype=int32), array([554,  50, 481, 194, 208, 137, 502,  69, 358, 530,  26], dtype=int32), array([554, 217, 512, 241,  66,  62, 481,  77,  29], dtype=int32), array([554, 241, 481, 165, 193, 208,  77, 502, 415, 205, 358, 345, 435], dtype=int32), array([276, 481, 194, 208, 332, 569, 502, 307, 358,  13, 518, 557,  50,\n",
      "       339,  40, 121, 271, 478,  10, 158], dtype=int32), array([439, 301, 194,  73, 312,  40, 378, 358, 416, 363, 463,  37,  26], dtype=int32), array([439, 301, 194, 208, 285,  41, 502, 379, 200, 518], dtype=int32), array([439, 301,  32, 194, 208, 379, 502,  69, 504, 557, 427,  13, 302], dtype=int32), array([232,   0, 273, 502, 293,  13, 515, 208, 543, 502, 415, 205], dtype=int32), array([ 32, 194, 208,  77, 502, 543, 132, 358, 345, 173], dtype=int32), array([123, 570, 383, 473, 301, 481, 190, 193, 270,  69, 502, 415, 205,\n",
      "       358,  13,  10, 358,  65, 524, 435], dtype=int32), array([276, 194, 208, 379, 502,  64, 358, 481, 174, 353,  65, 443], dtype=int32), array([232,   0, 273, 237, 358, 194,  73, 376,  40, 415, 205, 561,  13,\n",
      "       458, 234, 128], dtype=int32), array([439, 301, 481, 194, 480, 213, 208,  64, 502, 543, 358, 496, 322], dtype=int32), array([554, 157, 481, 182, 111, 566, 304], dtype=int32), array([439, 301,  32, 481, 532,  22, 194, 270, 379,  73,   9,  40,   8,\n",
      "       234, 481,  20], dtype=int32), array([123, 570, 473, 301, 554, 481,  14, 532, 454, 200], dtype=int32), array([135,  25, 231], dtype=int32), array([554, 241,   7], dtype=int32), array([439, 301, 481, 194, 208, 137, 502, 376], dtype=int32), array([545,   3, 215, 208, 137, 502, 415, 205], dtype=int32), array([230, 324, 157,  13, 190, 105, 410, 515, 498, 208, 107, 502, 307,\n",
      "       358, 532,  22, 121], dtype=int32), array([358, 167, 193,  10, 208,  64, 502, 137,  89, 570, 473, 301, 554,\n",
      "       526, 353,  23, 534,  72,   9, 341], dtype=int32), array([439, 301,  32, 481, 194, 208,  97, 502, 107], dtype=int32), array([232, 565, 273, 502, 425, 481, 194, 208, 137, 502, 376], dtype=int32), array([439, 301, 481, 194, 208, 137, 502, 379,  40,  64], dtype=int32), array([276, 194,  73, 137,  40, 379], dtype=int32), array([232,   0, 273, 237, 358,  77, 502, 543], dtype=int32), array([156, 570, 221,  13, 193, 208,  97, 502,  64, 334, 518], dtype=int32), array([439, 301, 481, 194, 208, 553, 124, 502, 102], dtype=int32), array([241, 484,  13, 193, 208, 137, 502, 415, 205, 358, 120,  26, 270,\n",
      "        19,   9, 350, 234, 481,  20], dtype=int32), array([437, 193, 208,  77, 502, 376], dtype=int32), array([230, 296, 182, 112,   7, 502, 168, 105], dtype=int32), array([276,  32, 481, 194, 480,  58,  62, 209, 316, 239], dtype=int32), array([554, 194, 213, 208, 128, 502,  69], dtype=int32), array([232,   0, 273,  13, 193, 208, 415, 147, 502, 506, 358,  31,  26,\n",
      "       270,  53,   8, 384], dtype=int32), array([232, 565, 273, 447, 237, 358, 481, 165, 194, 570, 221, 270,  64,\n",
      "        60, 234, 137], dtype=int32), array([554, 241, 528], dtype=int32), array([439, 301,  32, 194, 561, 183, 208, 379, 502, 415, 205], dtype=int32), array([230, 296, 194, 157, 163,  25, 221, 561,  82, 105, 430], dtype=int32), array([554,  50, 194, 208,  77, 502, 452, 375], dtype=int32), array([276,  32, 339, 194, 358, 463, 208, 471, 502,  97], dtype=int32), array([439, 301, 481, 217, 512, 234, 137], dtype=int32), array([241, 484,  13, 193, 234, 481,  20, 208, 376, 480,  59, 234, 481,\n",
      "       174, 234, 137], dtype=int32), array([230,  16,  57, 200,  37, 234,  64], dtype=int32), array([232, 331, 502, 213, 502, 415, 147, 208, 506,  83, 232, 542, 502,\n",
      "       459, 234, 137], dtype=int32), array([ 50, 484,  43, 194, 208,  77, 502, 415, 205, 561,  13, 459, 234, 128], dtype=int32), array([554, 344,  26, 194, 268, 137,  72, 341], dtype=int32), array([241, 484,  13, 410, 515, 193, 208,  69, 502, 137, 117, 234, 128], dtype=int32), array([439, 301,  32, 194, 208,  77, 502, 137, 557,  58,  72, 341, 358, 546], dtype=int32), array([232, 278, 234, 137,  40, 232,   0, 273, 502, 293,  13, 515, 502, 379], dtype=int32), array([554,  50, 481, 194,  40, 387, 208, 255, 502,  97, 200, 317, 321], dtype=int32), array([554, 241, 481, 386, 353,  13, 190, 105, 498, 208,  64, 502, 415, 205], dtype=int32), array([217, 512, 137], dtype=int32), array([276, 481, 507, 347, 353, 194,  73,  32,  30,  86, 136], dtype=int32), array([ 32, 194, 208, 379, 502, 376, 334, 518,  60, 330,   8, 350], dtype=int32), array([439, 301, 410, 515, 183, 208, 137, 502, 376], dtype=int32), array([299, 232, 221,  13, 277, 353, 193, 348, 208, 114, 356, 502, 313,\n",
      "       314, 358, 317], dtype=int32), array([232, 542, 502, 293,  13, 410, 515, 193, 208, 543, 502, 415, 205,\n",
      "        40, 407], dtype=int32), array([232,   0, 273, 502, 213, 208, 145, 502, 415, 147, 358, 546, 174,\n",
      "       249, 424], dtype=int32), array([276, 194, 208, 102, 502, 415, 247, 206, 174], dtype=int32), array([232, 331,  13, 193, 208, 415, 205, 502, 379,  40, 483, 379, 502,\n",
      "       332, 569,  40, 332, 569, 502, 415, 205], dtype=int32), array([276, 288, 121, 193, 208, 128, 502,  69], dtype=int32), array([232, 565, 273, 502, 196, 481,  99, 395,  66, 208, 379, 502,  64,\n",
      "       358, 546, 321], dtype=int32), array([276, 194, 270, 128, 358, 416,  40,  60, 234, 415, 205,  72,   8, 384], dtype=int32), array([439, 194, 208, 379, 502, 351], dtype=int32), array([357, 480,   7, 216, 272,   4, 213, 208,  64, 358,  49, 524, 359,\n",
      "       234, 481, 321, 502, 128, 267, 176, 182, 359, 544], dtype=int32), array([230, 181, 241, 481,  29, 208, 415, 205], dtype=int32), array([194, 502,  69], dtype=int32), array([532,  10, 379, 502, 376, 554, 241, 481, 182], dtype=int32), array([439, 301, 481, 194, 208, 287, 186, 502,  32, 368,  30], dtype=int32), array([439, 194, 208, 415, 205, 502, 137, 358, 172, 546, 481, 524, 487,\n",
      "       363, 496, 481, 524, 204], dtype=int32), array([554, 241, 481,  24, 208, 379, 502,  64], dtype=int32), array([276,  32, 127, 194,  73, 351,  40,  77, 536,  37,  25], dtype=int32), array([383, 189, 481, 165, 385, 193, 208,  77, 502, 137], dtype=int32), array([232, 331,  13, 193, 208, 376, 502, 415, 205, 334, 546], dtype=int32), array([232, 565, 273, 481, 500, 353,  32, 194, 208, 415, 205, 502, 379,\n",
      "       358, 463], dtype=int32), array([554, 241, 481, 265, 193, 234, 481, 130, 208,  69, 502,  64], dtype=int32), array([554, 241, 405,  45,   9], dtype=int32), array([232,   0, 273, 502, 196, 410, 515, 208,  77, 502, 379], dtype=int32), array([554,  50, 481, 194, 208,  64, 502,  77, 234, 481,  20], dtype=int32), array([232,   0, 273,  13, 274, 234, 137, 358,  65, 435], dtype=int32), array([383, 276,  32, 194, 240, 137,  72, 341, 358, 530,  26,  40, 344,  26], dtype=int32), array([276,  32,  37,  26, 194, 208, 378, 502, 312, 358, 546], dtype=int32), array([232, 565, 273, 502, 196, 208, 137, 502,  77, 358, 546, 481, 524, 190], dtype=int32), array([554, 241, 481, 421,  92, 200, 481, 180], dtype=int32), array([554, 194, 213, 208,  77, 502, 543, 334, 518], dtype=int32), array([156, 570, 221,  13, 521, 193, 270, 166, 234, 481, 321, 502, 415,\n",
      "       205, 208, 137], dtype=int32), array([230, 296, 422, 234,  13,   6], dtype=int32), array([554, 194, 213, 208, 471, 502,  97, 358, 463], dtype=int32), array([379, 502,  77, 416], dtype=int32), array([383, 276,  43, 193,  66, 270, 351,  88, 518,  60, 376, 546], dtype=int32), array([358, 248, 524, 487,  39, 166, 193, 358,  37, 208, 376, 502, 415, 205], dtype=int32), array([554, 194,  50,  66, 546, 321, 208,  77, 502, 137], dtype=int32), array([439, 301,  32, 481, 194, 358, 344,  26, 208, 332, 569, 502, 312,\n",
      "       502, 285,  41], dtype=int32), array([157,  37,  25, 196, 208, 137, 502, 379], dtype=int32), array([194, 208, 379, 502,  69,  73,   9,  35,  40,   8, 384], dtype=int32), array([241, 182, 111,  67, 481, 414,  61,  82, 105], dtype=int32), array([439, 261, 193, 208, 376, 502,  77], dtype=int32), array([554, 120, 194, 213, 208, 100, 502, 423,  72,   9,  35, 234, 481,\n",
      "       321, 480, 221,  13, 302], dtype=int32), array([357, 232,   0, 273,  13, 193, 358, 532,  22, 208, 236, 502, 415,\n",
      "       147, 234, 481,  20, 554,   4,  66], dtype=int32), array([276, 194, 208, 415, 205, 502, 379], dtype=int32), array([276,  32, 339, 194, 358, 546, 208,  69, 502, 333,  72, 341], dtype=int32), array([383,  54,  13, 193, 200, 301, 208, 137, 502, 415, 205, 358, 532,  22], dtype=int32), array([402, 193, 237, 200, 193, 208,  77, 502,  69, 358, 518], dtype=int32), array([232, 278, 234, 543,  40, 232, 565, 273, 502, 293,  13, 515, 502,\n",
      "       415, 205,  89, 570, 473, 301, 557,  26, 116, 561, 492, 525, 103], dtype=int32), array([439, 301, 481, 194, 208, 236, 502, 319], dtype=int32), array([194, 208, 306, 502, 423], dtype=int32), array([232, 565, 273,  13, 193, 480, 269, 358, 206, 208, 376, 502, 128,\n",
      "       480, 294,  13, 458, 234,  64], dtype=int32), array([ 77, 502, 379, 546], dtype=int32), array([226, 232,   0, 273, 502, 196, 208, 114, 502, 378,  40, 293,  13,\n",
      "       458, 234, 102,  33, 481, 544], dtype=int32), array([554,  50, 481, 194, 208,  97, 502,  64, 408, 358, 518, 248, 488], dtype=int32), array([ 50, 484,  43, 194, 208,  77, 502, 351, 480, 458], dtype=int32), array([554, 241, 481, 326, 353, 481,  29, 234, 376], dtype=int32), array([189, 301, 481, 165, 193, 208,  77, 502,  64,  40, 481, 265, 407,\n",
      "       502,  77, 358, 481, 414, 130], dtype=int32), array([232, 565, 273, 481, 193, 208,  64, 502, 137, 480, 220, 481,  99,\n",
      "       359, 544, 182], dtype=int32), array([557,  26, 427, 379], dtype=int32), array([554,  50, 481, 194, 208, 543, 132, 502, 137], dtype=int32), array([439, 301, 481, 217, 512, 419, 234, 415, 205, 358, 496, 174], dtype=int32), array([554,   4, 481, 190, 193,  19,   8, 384, 270, 543, 502, 137], dtype=int32), array([232, 565, 273, 502, 196, 208, 137, 502, 379,  40,  64], dtype=int32), array([357, 545,   3, 215, 208, 543, 502, 137, 190, 105, 498, 232,   0,\n",
      "       273, 502, 254, 481, 121, 353,  13, 190, 105, 498], dtype=int32), array([554, 194, 208, 229, 502, 312, 358, 206, 358,  37,  26], dtype=int32), array([557,  26, 196,  73,  77,  40, 379], dtype=int32), array([439, 301, 183, 208, 307, 502, 332, 569], dtype=int32), array([439, 301, 481, 194, 208,  64, 502, 543, 132, 358, 546, 335,  40,\n",
      "       496, 321], dtype=int32), array([157,  37,  26, 354,  13, 193, 208,  77, 502, 351, 557, 462, 234, 137], dtype=int32), array([ 32, 194, 208, 415, 205, 502,  77, 270,  72, 341], dtype=int32), array([232, 331, 502, 196, 208,  77, 502,  69, 383, 212, 301, 481, 501,\n",
      "       353, 571, 194, 234, 481, 321,  72,   8, 350], dtype=int32), array([ 89, 570, 439, 301, 183, 200, 134, 442, 208, 351, 502, 128, 359,\n",
      "       544, 360], dtype=int32), array([ 50, 484,  43, 194, 208, 332, 569, 502, 285,  41, 557, 458, 370,\n",
      "       234, 312], dtype=int32), array([156, 570, 221,  13,   8, 350, 193, 208,  77, 502, 376], dtype=int32), array([157, 311, 178, 427, 236], dtype=int32), array([439, 301,  13, 276, 353, 217, 512,  62, 137], dtype=int32), array([232,   0, 273,  13, 339, 193, 208, 236, 502, 415, 147, 480, 429,\n",
      "       150, 554,   4,  66], dtype=int32), array([465, 232,   0, 273, 502,   7, 554,  23,  50, 533, 358, 248, 435,\n",
      "       270, 208,  77,  40,  60, 234,  64, 358, 248, 435], dtype=int32), array([383, 439, 301, 194, 208, 415, 205, 502, 128], dtype=int32), array([554, 194, 220, 120, 208,  64], dtype=int32), array([ 89, 570, 276,  32, 194, 270, 208, 452, 286,  40,  60, 234, 312], dtype=int32), array([346, 232, 331,  13, 193, 358, 518, 208, 378, 502, 145], dtype=int32), array([276, 481, 194, 208, 376, 502, 128, 358,  37,  26], dtype=int32), array([177, 405,  45,   9], dtype=int32), array([136, 194, 502, 415, 205, 383], dtype=int32), array([189, 481, 165, 193, 208,  77, 502, 415, 205, 480, 429,  13, 302], dtype=int32), array([232,   0, 273, 502, 425,  32, 194, 208,  69, 502, 376], dtype=int32), array([554, 241, 481, 265,  20, 193, 232,  89, 211, 208, 128, 502, 415,\n",
      "       205, 358, 190, 105], dtype=int32), array([554, 194, 156, 570, 221, 208,  77, 502, 379, 358, 546, 353, 334,\n",
      "       548,  19,   8, 384], dtype=int32), array([ 89, 570, 473, 301, 554, 194, 570, 221, 208,  69, 502, 128], dtype=int32), array([439, 301, 481, 165, 193, 358, 546, 208,  69, 502, 333], dtype=int32), array([ 13, 193, 358, 120,  26, 270,  77,  40, 215, 502, 137], dtype=int32), array([439, 301, 194, 208, 137, 502, 376], dtype=int32), array([232, 565, 273, 502, 425,  32, 194, 208, 137, 502, 376], dtype=int32), array([194, 358,  37, 208, 378, 502, 100, 358, 546], dtype=int32), array([232, 565, 273, 502, 425, 481, 194, 208, 137, 502, 376], dtype=int32), array([554, 241, 182, 111, 391, 304], dtype=int32), array([439, 301, 194, 208,  69, 502, 376], dtype=int32), array([554, 241, 571, 261, 515, 208, 543, 502,  77, 358,  65, 524, 435], dtype=int32), array([554, 241, 481, 190, 105, 182, 200,  13, 410, 515, 128, 502, 137], dtype=int32), array([232,   0, 273, 502, 196, 208,  77, 502,  69], dtype=int32), array([439, 301, 481, 194, 208, 128, 502,  64], dtype=int32), array([557,  50, 481, 194, 208, 137, 502,  69, 363, 543, 132], dtype=int32), array([232, 542, 502, 196, 208, 376, 502, 128,  40, 293,  13, 459, 234,  64], dtype=int32), array([554, 241, 481,  45,   9, 405], dtype=int32), array([439, 301, 481, 194, 208,  77, 502, 351], dtype=int32), array([212, 301,  13, 193, 208, 471, 502,  97, 358, 463], dtype=int32), array([156, 570, 221,  13, 193, 208, 415, 205, 502,  64,  53,   8,  35], dtype=int32), array([276, 194, 208, 379, 502,  69, 358, 496, 321, 339], dtype=int32), array([230,  89, 232, 211, 208, 481,  29, 234, 379, 502, 159], dtype=int32), array([554,   4, 481, 326, 353, 481, 137,  29], dtype=int32), array([232, 565, 273,  13, 193, 208, 137, 502, 379], dtype=int32), array([232, 331,  13, 193, 208, 251, 104, 502, 333, 358, 481, 190, 353, 248], dtype=int32), array([439, 301, 481, 194, 208,  77, 502, 379], dtype=int32), array([439, 301,  32, 194, 208, 379, 502, 128], dtype=int32), array([439, 301,  13, 276, 353, 399,  93, 183,  62,  77,  29], dtype=int32), array([276,  32, 194, 270, 137, 358, 120, 358, 463,  19,  11], dtype=int32), array([473, 301,  16, 194, 208,  64, 502,  97, 334, 317], dtype=int32), array([232, 331, 237, 358,  13, 193, 208, 415, 205, 502,  64, 480, 565,\n",
      "       458, 234, 201, 564], dtype=int32), array([554, 500,   7, 241, 137, 234], dtype=int32), array([208,  69, 502, 415, 205], dtype=int32), array([439, 301,  32, 481, 194, 270,  69], dtype=int32), array([232,   0, 273,  13, 193, 208, 452, 375, 502, 307, 358, 480, 334, 496], dtype=int32), array([439, 301,  32, 194, 208, 415, 147, 502, 285,  41], dtype=int32), array([232, 331,  13, 193, 358, 496,  72,   8,  35, 208, 351, 502, 413,\n",
      "       256, 104], dtype=int32), array([276,  32, 194, 270, 358, 496, 321, 208, 332, 569, 104, 502, 319], dtype=int32), array([276, 481, 193, 208, 376, 502, 415, 205, 358,  37,  26], dtype=int32), array([ 37, 194, 502, 229, 208, 102], dtype=int32), array([241,  85, 543], dtype=int32), array([557,  26, 196,  73,  77,  40, 379], dtype=int32), array([ 50, 484,  43, 194, 208, 137, 502, 379, 561, 462, 234,  64], dtype=int32), array([554, 526, 353,  23, 241, 534, 358, 481, 193, 208,  64, 502, 376,\n",
      "        72,   9, 350, 341], dtype=int32), array([439, 301,  32, 194, 208,  77, 502, 137], dtype=int32), array([137, 502, 376, 317], dtype=int32), array([439, 301, 481,  99, 359, 544, 499, 208,  64, 502, 128], dtype=int32), array([554,  50, 481, 501, 480, 570, 221, 382, 270, 208, 415, 205, 215,\n",
      "       502, 379, 358, 248, 435], dtype=int32), array([ 25, 111,  61], dtype=int32), array([554, 241, 481, 165, 193, 270,  77, 358, 248, 190, 502, 128, 358,\n",
      "       248, 190], dtype=int32), array([554, 500, 157, 481, 165, 193, 557, 214, 208,  64, 502, 137, 268], dtype=int32), array([232, 331,  13, 193, 270, 379, 334, 317,  60, 234, 201, 564,  72,\n",
      "         9,  35], dtype=int32), array([232, 565, 273,  13, 110, 105,   7, 358,  13, 193, 270, 137,  60,  64], dtype=int32), array([439, 301, 481, 194, 369, 353, 287, 186], dtype=int32), array([383, 439, 301,  32, 359, 544, 190, 105, 194, 208, 236, 502, 306], dtype=int32), array([232,   0, 273, 502, 425, 194, 208,  69, 502,  64], dtype=int32), array([194, 208, 107, 502, 251, 104, 358, 317], dtype=int32), array([194, 208, 376, 502, 351], dtype=int32), array([439, 301, 481, 194, 208, 376, 502, 128], dtype=int32), array([241, 484, 275, 430,  66,  62,  69,  29], dtype=int32), array([232, 565, 273, 502, 189, 369, 481, 217, 513,  66, 234,  64], dtype=int32), array([439, 301, 481, 410, 515, 499, 208,  69, 502,  64], dtype=int32), array([439, 301, 194, 208, 376, 502,  69], dtype=int32), array([439, 301,  32, 481, 194, 208,  77, 502, 137, 480, 427, 290], dtype=int32), array([554, 194, 208, 312, 502, 415, 247, 358, 546, 358,  37,  26], dtype=int32), array([439, 301, 194, 208, 415, 205, 502, 137], dtype=int32), array([439, 301, 481, 194, 208, 415, 205, 502, 333, 480, 268,  19,   9, 384], dtype=int32), array([439, 301, 194, 208,  69, 502, 128], dtype=int32), array([383, 439, 301, 481, 194, 208,  64, 502, 137], dtype=int32), array([554, 241, 481, 265, 193,  73, 543,  40,  77], dtype=int32), array([212, 301,  13, 276, 353, 194,  73, 379,  40,  69], dtype=int32), array([232, 565, 273, 237, 358, 194, 270,  64,  40,  60, 234, 128], dtype=int32), array([212, 301, 194, 480,  58, 234,  69, 208,  64], dtype=int32), array([554,   4, 481, 217, 512, 208, 351, 502, 415, 205], dtype=int32), array([232, 565, 273, 502, 196, 208, 137, 502, 379], dtype=int32), array([232,   2, 284, 200,  13, 193, 480, 214, 208, 415, 247, 502, 229,\n",
      "       358, 299, 489,  40, 480, 269,  19, 341], dtype=int32), array([238, 234,  13, 193, 208, 543, 502, 201, 564], dtype=int32), array([554, 252, 353,  27, 214, 208, 376, 502, 415, 205, 317, 461, 234,\n",
      "       128, 234, 481,  20, 190, 105, 193], dtype=int32), array([156, 570, 196,  13,  10, 208,  69, 502, 415, 205], dtype=int32), array([554, 217, 512, 241,  66, 234, 415, 205], dtype=int32), array([554, 241, 481, 217, 512, 208,  77,  29, 502,  77, 159], dtype=int32), array([ 32, 194, 502,  69,  19,   9, 384], dtype=int32), array([554, 241, 481, 182, 208,  64, 502,  77, 358, 110, 359, 544], dtype=int32), array([157, 530,  25, 221,  43, 194, 208, 128, 502, 415, 205], dtype=int32), array([554, 157, 481,  25, 111, 155, 453, 200], dtype=int32), array([351, 502, 415, 205, 383,  80, 193], dtype=int32), array([346, 232,   0, 273,  13, 419, 200, 481, 194, 358, 518, 321, 208,\n",
      "       351, 338, 208, 128, 201, 564, 502,  64], dtype=int32), array([383, 212, 301, 183, 208, 137, 502, 376], dtype=int32), array([554,  50, 481,  99, 183, 200, 194, 208, 333, 502, 255, 270, 546,\n",
      "        19,   8, 384], dtype=int32), array([232,   0, 273, 502, 189, 481,  99, 359, 544, 182, 208,  69, 502, 137], dtype=int32), array([232,   0, 273, 502, 189, 481,  99, 193, 208, 543, 132, 502,  64], dtype=int32), array([232,   0, 273, 502, 196, 208, 128, 502, 415, 205,  62,  48,  10, 384], dtype=int32), array([357, 232, 331, 502, 211,  13, 193, 208, 229, 502, 423], dtype=int32), array([554,  50, 117, 194, 208, 100, 240, 423, 358, 249, 188], dtype=int32), array([439, 301, 194, 208, 379, 502, 376], dtype=int32), array([232, 565, 273,  13, 193, 270, 208,  77,  60, 234, 415, 205, 561,\n",
      "        13, 459, 234,  64], dtype=int32), array([439, 301,  13, 276, 353, 194, 208, 379, 502,  69, 358,  65, 487], dtype=int32), array([379, 502, 137], dtype=int32), array([549, 194, 208, 415, 205, 502, 137], dtype=int32), array([439, 301, 194, 208, 313, 502, 423, 358, 248, 424], dtype=int32), array([554, 194, 208, 251, 104, 502, 100, 334, 546,  58,  62, 100,  62,\n",
      "        16,   8, 384], dtype=int32), array([232, 565, 273, 502, 254, 554, 526, 353,  23, 559,  70, 534, 358,\n",
      "       481, 321, 353, 248, 435, 208,  64, 502,  77], dtype=int32), array([554,   4, 481, 288, 410, 515, 182, 208, 128, 502,  69], dtype=int32), array([554, 241, 481, 261, 193, 208,  69, 502,  77], dtype=int32), array([439, 301,  32, 532,  22, 194, 208,  64, 502, 137, 200, 481, 130,\n",
      "        19, 504], dtype=int32), array([554, 241, 481,  66, 217, 512,  73, 481,  29, 234, 137,  40, 159], dtype=int32), array([439, 194, 208, 137, 502, 351, 480,  58,  19,   9, 350], dtype=int32), array([ 32, 136, 194, 502,   7, 233, 570,  89], dtype=int32), array([439,  32, 194, 358, 530,  26, 208, 415, 205, 502, 137, 502, 543, 132], dtype=int32), array([439, 301,  32, 194,  73, 415, 205,  40, 376, 200, 426, 187], dtype=int32), array([557, 194, 208, 379, 502,  64, 221, 481, 288, 110, 105, 183], dtype=int32), array([439, 301, 481, 265, 339, 193, 208, 137, 502, 543, 132], dtype=int32), array([156, 232, 211,  13, 302, 358, 481,  64, 502,  85, 193, 167,  10], dtype=int32), array([554, 194, 208, 137, 502, 413, 256, 104], dtype=int32), array([241, 484,  13, 193, 208,  77, 502, 415, 205, 295,  13, 459, 234,\n",
      "       128, 201, 564], dtype=int32), array([193, 358, 317, 208, 376, 502, 351,  88, 166, 321], dtype=int32), array([554, 194, 268, 423, 358, 463, 358, 120], dtype=int32), array([554, 217, 512, 241,  66, 234,  77], dtype=int32), array([554, 157,   7, 453, 200], dtype=int32), array([554, 157, 182, 111, 394, 304], dtype=int32), array([439, 301, 481, 194,  60,  62, 287, 186], dtype=int32), array([232, 331,  13, 407, 193, 208, 137, 502,  64], dtype=int32), array([439, 301, 194, 208,  64, 502,  69, 137,  40, 128], dtype=int32), array([439, 301, 174, 194, 502,  69], dtype=int32), array([128, 502, 351, 416], dtype=int32), array([232, 331,  13, 193, 208, 332, 569, 104, 502, 319, 496, 299, 440], dtype=int32), array([232, 542, 502, 425, 481,  99, 194, 208, 137, 502,  64], dtype=int32), array([439, 301, 481,  26, 480, 533, 287, 186], dtype=int32), array([276, 481, 183, 353, 532,  22, 194, 208,  77, 502, 376], dtype=int32), array([217, 512, 234, 378], dtype=int32), array([276,  32, 194, 139, 208, 209, 316], dtype=int32), array([439, 301,  32, 194, 502, 128, 480,  50, 271, 478,  11, 158, 410, 515], dtype=int32), array([439, 301,  32, 194, 208, 137, 502, 379, 557, 427,  13, 302, 200,\n",
      "       481, 130,  19, 504], dtype=int32), array([383, 439, 301,  32, 481, 194, 208, 137, 502, 351, 480,  50, 339], dtype=int32), array([439, 301, 481, 165, 339, 193, 208, 128, 502, 229], dtype=int32), array([554, 241, 481, 110, 182,  73,  77,  40,  64, 358, 136], dtype=int32), array([554, 241, 481,  66, 217, 512,  73, 415, 205,  40, 159], dtype=int32), array([554,  50, 481, 194, 208, 466, 502, 415, 247, 358, 546, 481, 336], dtype=int32), array([128, 502,  69], dtype=int32), array([554, 241, 481, 267, 176, 193, 208, 137, 502,  64], dtype=int32), array([217, 415, 205], dtype=int32), array([123, 570, 383, 439, 301,  32, 481, 549, 194,  73, 137,  40, 128], dtype=int32), array([177, 481, 182, 112], dtype=int32), array([276,  32, 194, 358, 530, 208, 415, 205, 502,  77, 561, 182, 111, 394], dtype=int32), array([554, 194, 208, 332, 569, 502, 285,  41], dtype=int32), array([212, 301, 481, 276, 353, 194, 200, 120,  73, 137,  40,  77], dtype=int32), array([554, 194,  50,  66, 358, 546, 208,  64, 502, 543, 132], dtype=int32), array([439, 301, 481,  26, 480, 196, 208, 137, 502, 415, 205], dtype=int32), array([546, 321, 194,  73,  69,  40, 333], dtype=int32), array([232,   0, 331, 237, 383, 358,  13, 193, 208, 543, 132, 415, 205,  88], dtype=int32), array([554, 241, 481, 410, 515, 182, 358, 120,  11, 208, 128, 502, 415,\n",
      "       205,  40, 407], dtype=int32), array([439, 301,  32, 194, 208,  64, 502, 415, 205, 557, 268,  64,  19,\n",
      "         8, 350, 384, 504], dtype=int32), array([439, 301, 481,  20, 194, 208, 543, 502,  77], dtype=int32), array([358, 120, 193,  11, 208,  77, 502, 415, 205, 554, 526, 353, 302,\n",
      "       241, 428], dtype=int32), array([288, 182, 208, 415, 205, 502, 415, 147], dtype=int32), array([232, 565, 273, 502, 425, 481, 168, 183, 200, 137, 502, 376], dtype=int32), array([157, 311, 178, 427, 328], dtype=int32), array([557,  26,  50,   7, 234, 481, 129], dtype=int32), array([436, 502, 137, 358, 317, 345, 173,  11], dtype=int32), array([439, 301,  32, 194,  40, 183, 208, 137, 502, 415, 205], dtype=int32), array([232, 331, 502, 254, 554, 194, 268,  64, 358, 463, 174,  40,  58,\n",
      "       234,  69], dtype=int32), array([232,   0, 273,  13, 193, 358, 530,  26, 208, 128, 502, 415, 205,\n",
      "       480, 269,  19,  10,  35], dtype=int32), array([383, 276,  32, 194, 208, 376, 502,  77], dtype=int32), array([439, 301,  32, 481, 152, 194, 208,  64, 502,  69], dtype=int32), array([554,  29, 241,  62, 471], dtype=int32), array([208, 376, 502, 506], dtype=int32), array([439,  32, 339, 194, 208,  77, 502, 415, 205], dtype=int32), array([232, 565, 273, 237, 358,  43, 194, 208, 379, 502, 415, 205, 270,\n",
      "       496, 174], dtype=int32), array([439, 301,  32, 194,  73, 415, 205,  40, 376, 358, 426, 187, 561,\n",
      "       141, 500,  19,   9, 384], dtype=int32), array([554,  50, 481, 194, 208, 312, 502, 471], dtype=int32), array([439, 301, 481, 265, 193, 502, 287, 186], dtype=int32), array([232,   0, 273, 502, 254, 481, 165, 194, 208,  77, 502,  64, 210], dtype=int32), array([156, 570, 221,  13, 193, 208,  97, 502,  64, 358, 249, 190], dtype=int32), array([557, 194, 358, 344,  40, 530,  26, 458, 234, 137,  72, 341], dtype=int32), array([230, 296, 532,  22, 194, 268, 208, 543], dtype=int32), array([383, 439, 301,  32, 410, 515, 194, 208, 332, 569, 502, 307], dtype=int32), array([554, 241, 481,  56, 500, 234, 415, 205, 200, 481,  10,  35, 193,\n",
      "       270, 543], dtype=int32), array([232,   0, 273, 502, 221, 447, 237, 358,  13, 498, 208, 137, 502,\n",
      "        64, 561,  13, 458, 234, 379], dtype=int32), array([439, 301,  32, 481, 194, 358, 136,  26,  40, 521, 480, 213, 502,\n",
      "        64, 234, 481, 321], dtype=int32), array([232, 331,  13, 193, 208,  69, 502, 423], dtype=int32), array([439, 301, 194, 208, 471, 502, 452, 286], dtype=int32), array([232,   0, 273,  13, 193, 208, 114, 502, 378, 461, 234, 102,  40,\n",
      "       433, 150, 554,   4,  66], dtype=int32), array([554, 194, 213, 208, 100, 502, 423, 358, 120,  26, 358, 416], dtype=int32), array([232, 565, 273,  13, 419, 353, 194, 208, 137, 502, 415, 205, 358, 518], dtype=int32), array([232, 565, 273, 502, 196, 208, 379, 502,  64, 358, 532,  22], dtype=int32), array([554, 194,  50,  66, 416, 502, 415, 205, 208, 128], dtype=int32), array([230, 296,  30, 157, 351, 221], dtype=int32), array([439, 301, 183, 208, 229, 502, 260, 539], dtype=int32), array([554, 344,  25, 194, 268, 137,  72, 341], dtype=int32), array([439, 190, 193, 208, 376, 502, 128], dtype=int32), array([439, 301, 194, 208, 307, 502, 332, 569, 270, 358,  13, 463, 190, 105], dtype=int32), array([123, 570, 383, 439, 301,  32, 194, 208, 312, 502, 319], dtype=int32), array([554, 241, 481,  99, 182,  73,  64,  40, 415, 205], dtype=int32), array([ 32, 194, 208,  97, 502,  44, 358, 532,  22,  53,   8, 384], dtype=int32), array([276, 481, 194, 208, 413, 256, 104, 502, 452, 375], dtype=int32), array([439, 301,  32, 194, 208, 319], dtype=int32), array([194, 208, 306, 502, 260, 539, 358, 463], dtype=int32), array([439, 301, 481, 194, 480, 268, 358, 496, 322, 208,  64, 502, 543,\n",
      "        40, 235,   7, 303,  50,   7,  40, 554, 481, 387,  50], dtype=int32), array([232, 331,  13, 193, 208, 285,  41, 502, 379, 358, 317,  20], dtype=int32), array([557,  50, 481, 267, 176, 194,  73, 128,  40,  69, 358, 248, 336], dtype=int32), array([232,   0, 273, 237, 358, 481, 267, 176,  24, 410, 515, 208, 379,\n",
      "       502,  77], dtype=int32), array([439, 301,  32, 194, 208, 137, 502,  69], dtype=int32), array([554,   4, 481, 165, 193, 232,  89, 211,  73,  77,  40, 128], dtype=int32), array([232,   0, 273, 502,  75,  13, 193, 208, 415, 147, 502, 506], dtype=int32), array([554,  50,  32, 481, 194, 208,  77, 502, 128], dtype=int32), array([194, 208, 379, 502, 333], dtype=int32), array([554, 193, 208,  77, 502,  69, 241, 481, 267, 176, 193], dtype=int32), array([439, 301, 481, 194, 208, 379, 502, 415, 205], dtype=int32), array([554, 241, 481, 386, 353, 194, 208, 236, 502, 306], dtype=int32), array([554,   4, 481, 165, 193, 208,  77, 502, 376], dtype=int32), array([230, 324, 157, 242, 121, 502, 196, 208,  64, 502, 415, 205], dtype=int32), array([554, 194,  50, 484, 208,  64, 502, 351, 358, 496, 561, 234, 193, 303], dtype=int32), array([ 50, 484,  43, 194, 208, 137, 502,  64, 502, 379], dtype=int32), array([232,   2, 284, 200,  13, 193, 208,  97, 502, 260, 539, 480, 462,\n",
      "       234, 452, 286,   7,  13, 150, 193, 230,  89, 232, 189, 480, 369], dtype=int32), array([383, 276, 481, 194, 270, 208, 452, 286, 502, 452, 372,  19,   9,  35], dtype=int32), array([232,   0, 273, 502, 189, 481, 267, 176, 359, 544, 182, 208,  77,\n",
      "       502, 376], dtype=int32), array([123, 570, 473, 301,  16, 194, 208, 376, 502, 128, 481, 194, 438,\n",
      "       268, 376, 234, 481, 321], dtype=int32), array([194, 208, 132, 502, 137], dtype=int32), array([439, 301,  32, 481, 194, 208, 137, 502, 260, 539], dtype=int32), array([232,   0, 273, 502, 196, 208,  64, 502, 137, 358,  65, 524, 337], dtype=int32), array([212, 301, 194, 208,  64, 502,  69], dtype=int32), array([ 89, 570, 276, 481,  99, 410, 515, 182, 208, 367, 502, 251, 104], dtype=int32), array([439, 301, 194,  73, 137,  40,  69], dtype=int32), array([276,  32, 194, 208,  64, 502,  69, 496, 321], dtype=int32), array([ 50, 484,  43, 194, 208,  77, 502, 415, 205, 557, 458, 234, 543, 132], dtype=int32), array([276, 194, 208, 137, 502,  69], dtype=int32), array([399,  96, 234,  77], dtype=int32), array([439,  32, 518, 321, 194, 208, 379, 502, 137], dtype=int32), array([439, 301,   7, 190, 105, 194, 208,  69, 502, 128], dtype=int32), array([232,   2, 284, 200,  13, 193, 208,  77, 502, 137, 480, 220, 338,\n",
      "       460,  40, 241, 360, 234, 481,  20], dtype=int32), array([554, 241, 481,  99, 410, 515, 110, 193,  73, 128,  40,  69, 270,\n",
      "        65, 476], dtype=int32), array([ 34, 212, 301,  13, 276, 353, 194,  73, 351,  40,  77], dtype=int32), array([232, 565, 273,  13, 193, 208, 128, 502, 376], dtype=int32), array([ 32, 344, 194, 561, 460, 234, 137], dtype=int32), array([554,   4, 481, 190, 193, 208, 128, 502, 229], dtype=int32), array([212, 301, 481, 194, 208, 100, 502, 423, 358, 416, 321], dtype=int32), array([357, 473, 301, 554, 481, 165, 193, 241, 480, 269,  73,  64,  40, 137], dtype=int32), array([232,   0, 273, 502, 221, 447, 237, 358,  13, 498, 208, 137, 502,\n",
      "       379,  40,  64], dtype=int32), array([554, 194,  66,  73, 379,  40,  69, 358,  65, 173], dtype=int32), array([439, 301, 194, 208, 415, 205, 502, 423], dtype=int32), array([232,   0, 273,  13, 193, 208, 251, 104, 502, 285,  41, 480,  59,\n",
      "       234, 285,  41, 234, 481, 263,  20], dtype=int32), array([439, 301, 481, 339, 194, 208,  64, 502, 351, 480, 268, 234, 481,\n",
      "        20,  40,  58,  73,  10, 384,  40,  10, 384], dtype=int32), array([439, 301, 194, 208, 312, 502, 367, 358, 496, 321], dtype=int32), array([189, 513,  55, 200,  13, 410, 515, 193, 208, 128, 502, 379,  60,\n",
      "        19,   8, 384], dtype=int32), array([241, 484, 217, 512, 234,  69], dtype=int32), array([554, 241,  25, 155], dtype=int32), array([439, 301, 194, 270, 208, 137, 113, 502, 379, 373, 358, 547,  19,\n",
      "         8, 384], dtype=int32), array([554, 241, 481, 165, 193, 215, 208, 415, 205, 502, 128, 358, 317,\n",
      "        65, 336], dtype=int32), array([232, 565, 273, 237, 358,  13, 193,  73, 543,  40, 415, 205, 561,\n",
      "        13, 459, 234, 128], dtype=int32), array([276,  32, 194, 208, 328, 502, 423], dtype=int32), array([554,   4, 481, 444, 381, 480, 192, 208, 379, 502,  69, 358, 169, 441], dtype=int32), array([212, 301, 481, 194, 208, 137, 502,  69, 358, 530,  26], dtype=int32), array([155,  10, 137, 502, 376, 554, 241, 481, 182], dtype=int32), array([232, 565, 273,  13, 193,  61, 166,  61, 385, 234, 481, 130, 270,\n",
      "       208,  77,  40, 502, 137], dtype=int32), array([554, 241, 481,  99, 193, 208, 128, 502,  69], dtype=int32), array([232, 565, 273, 237, 200, 194, 208,  69, 502, 128, 358, 166, 518, 321], dtype=int32), array([439, 301, 481, 194, 208, 307, 502, 415, 147, 561, 359, 458, 234, 137], dtype=int32), array([439, 301,  32, 481, 194,  60, 234,  97,  53,   8, 384, 334, 317, 383], dtype=int32), array([123, 570, 383, 212, 301,  13, 359, 544, 182, 208, 379, 502,  64], dtype=int32), array([223, 232,   0, 273,  13, 136, 193, 208,  64, 502,  77], dtype=int32), array([554, 194,  50,  66, 208, 128, 201, 564, 502,  64], dtype=int32), array([554, 241, 481, 165, 193, 208,  77, 502, 137], dtype=int32), array([554,  50, 481, 149, 106, 480,  39,  25, 355], dtype=int32), array([232, 565, 273, 502, 189,  13, 193, 208, 379, 502,  77, 358, 546,\n",
      "        40, 232, 221, 502,  70, 234,  77,  86, 359, 446, 232,   0, 273,\n",
      "        13, 193, 369, 353, 225, 338, 264, 478,   9,  35], dtype=int32), array([ 32, 194, 208, 137, 502, 376], dtype=int32), array([276, 481, 165, 194, 208, 452, 372, 502, 229], dtype=int32), array([383, 212, 301,  13, 193, 208, 379, 502, 415, 205, 317], dtype=int32), array([554, 157, 568, 453, 200], dtype=int32), array([554, 104, 241, 300], dtype=int32), array([383, 276, 481, 193, 501, 208, 333, 502,  77], dtype=int32), array([554, 241, 175], dtype=int32), array([554,   4, 481, 265, 193, 369, 353, 137, 480,  59, 234, 379, 334, 317], dtype=int32), array([439, 301, 481, 194, 208,  69, 502, 351], dtype=int32), array([153, 194, 208, 128, 502,  64, 557, 138,  73,   8, 384,  40,   8, 384], dtype=int32), array([128, 217, 512], dtype=int32), array([557, 194,  50,  73,  77,  40,  69, 543], dtype=int32), array([232, 542, 502, 254, 481,  99, 544, 502, 196, 208, 137, 502, 351], dtype=int32), array([230, 324, 241,  13, 410, 515, 182, 208, 236, 502, 423], dtype=int32), array([557, 194, 213, 208, 376, 502, 415, 205], dtype=int32), array([554,  50, 481, 194, 208,  77, 502,  69], dtype=int32), array([ 89, 232, 196, 208,  77, 502,  69, 543], dtype=int32), array([554, 194,  50, 484, 208, 306, 502, 260, 539], dtype=int32), array([232,   0, 273, 502,  54,  13, 515, 502,  69, 358, 244, 190], dtype=int32), array([439, 194, 208, 128, 502, 415, 205], dtype=int32), array([554,  50, 325, 362, 200,  13, 313,  68, 502, 236, 193,  53, 342], dtype=int32), array([554, 194,  50, 484, 208,  77, 502, 128], dtype=int32), array([276,  32, 194, 358, 530, 208, 415, 205, 502,  77], dtype=int32), array([554, 252, 353, 217, 512, 241,  66, 234,  64], dtype=int32), array([439, 301, 481, 194, 358,  37,  26, 208, 201, 564, 502, 137, 358,\n",
      "       481, 174, 353, 248, 173], dtype=int32), array([212, 301, 481,  37,  26, 194, 208, 378, 502, 312, 358, 546], dtype=int32), array([439, 301,  32, 194, 208, 376, 502, 415, 205, 561, 359, 458, 234, 128], dtype=int32), array([383, 276,  66, 217, 512, 234, 379], dtype=int32), array([276,  32, 194, 358, 120, 139, 358, 317,  72, 341, 208, 137, 502, 100], dtype=int32), array([232, 565, 273, 152, 110, 194, 208, 379, 502,  64], dtype=int32), array([157, 530,  26, 388,  43, 190, 105, 194, 208, 137, 502,  69], dtype=int32), array([554, 241, 481, 190, 193, 208,  64, 502,  77, 270, 358, 496, 426, 188], dtype=int32), array([554, 157, 182, 111, 391, 304], dtype=int32), array([232,   0, 273, 502, 254, 233, 570, 221,  43, 194, 208, 137, 502, 376], dtype=int32), array([554, 194,  50, 484, 208,  64, 502, 351, 358, 496], dtype=int32), array([232, 331,  13, 193, 358, 463, 208, 282,  71, 502, 114], dtype=int32), array([157, 530,  26, 196, 208, 137, 502,  69], dtype=int32), array([439, 301, 410, 515, 183,  73, 415, 205,  40, 543, 132], dtype=int32), array([276,  32, 194,  60, 234, 379, 317, 174, 208, 415, 205, 480, 190, 105], dtype=int32), array([439, 301, 481, 194, 208,  77, 502, 379, 358, 546,  40, 496], dtype=int32), array([554, 194, 268,  19,   8, 384, 208,  77, 502, 379], dtype=int32), array([554, 252, 353,  23, 241, 534, 358,  13, 193, 208, 107, 502, 128], dtype=int32), array([ 89, 570, 276,  32, 194, 208, 543, 502, 506], dtype=int32), array([232, 542,  13, 193, 208, 376, 502, 128, 561,  13, 458, 234,  64], dtype=int32), array([554, 194,  50, 484, 208, 379, 502, 415, 205, 358, 206], dtype=int32), array([276, 481, 493, 165, 194, 208,  64, 502, 376, 358, 546], dtype=int32), array([156, 570, 221,  13, 193, 208,  77, 502, 415, 205, 561,  13, 459,\n",
      "       234, 201, 564, 128], dtype=int32), array([276, 267, 176, 193, 208, 128, 502,  69], dtype=int32), array([554, 241, 481, 165, 193, 139, 415, 205,  40,  60, 234,  77, 358,\n",
      "       345, 337], dtype=int32), array([554, 157, 300, 453, 200], dtype=int32), array([232, 331, 237, 200,  13, 193, 208, 137, 502,  64], dtype=int32), array([554,   4, 481, 165, 193, 208, 379, 502,  69, 358, 496, 321], dtype=int32), array([554, 241, 481, 165,  37,  26, 193, 270, 376, 200, 128], dtype=int32), array([554, 194, 268,  69, 200,  77,  19,   8, 350, 358, 206], dtype=int32), array([232, 542, 502, 213,  40, 467,  13, 381, 234,  64,  40, 196, 502,  77], dtype=int32), array([212, 301, 481, 194, 561, 481, 183, 358, 134, 524, 435, 208, 236,\n",
      "       502, 367], dtype=int32), array([439, 301,  32, 194, 561, 183, 208, 379, 502, 415, 205], dtype=int32), array([232, 542, 502, 213, 208, 137, 502, 351], dtype=int32), array([554, 241, 481, 267, 176, 193, 208,  64, 502,  77], dtype=int32), array([276, 481, 546, 194, 208, 137, 502,  69,  60, 234,  69,  73,  11,\n",
      "        35,  40,  11, 384], dtype=int32), array([232, 565, 273, 502, 196, 208, 137, 502,  64,  86, 544, 353, 379], dtype=int32), array([554,  50, 481, 410, 515, 183, 200, 194, 208, 137, 502, 376,  60,\n",
      "        19,  11, 358, 120], dtype=int32), array([554,  26, 196,  73,  77,  40, 415, 205,  40, 458, 234, 137], dtype=int32), array([554, 252, 353, 217, 512, 241, 484, 234, 543, 132], dtype=int32), array([554, 194, 157, 136, 221, 208, 128, 502, 137,  19,   8, 350], dtype=int32), array([232, 565, 273, 502, 513, 208, 137, 502, 379], dtype=int32), array([299, 232, 425,  32, 481, 194, 208, 543, 502, 415, 205, 383], dtype=int32), array([232, 331, 237, 358, 194, 200, 518, 270,  69, 200, 128, 128, 502,\n",
      "        77,  40,  77, 502,  69], dtype=int32), array([284, 200,  13, 193, 208, 137, 502, 413, 256, 104], dtype=int32), array([232, 542,  13, 193, 208, 376, 502, 128, 480,  62, 267, 220, 359, 458], dtype=int32), array([383, 439, 301,  26, 561, 194, 208, 376, 502, 128], dtype=int32), array([193, 208, 361, 502, 367, 480, 140,   8, 228,  72,  60], dtype=int32), array([439, 301, 481, 194, 358, 136, 502,  64, 234, 481, 321], dtype=int32), array([232, 542,  39, 166, 321, 193, 208,  77, 502, 376], dtype=int32), array([554, 241, 481, 165, 193, 270, 137, 215, 502,  77], dtype=int32), array([ 13, 359, 544, 193, 208,  77, 502, 415, 205, 383], dtype=int32), array([383, 439, 301, 194, 557, 121, 271, 478, 363,   7, 502,  10, 158,\n",
      "       208, 332, 569, 502, 307, 270, 358,  13, 518], dtype=int32), array([276,  32, 194, 208, 332, 569, 502, 260, 539, 480, 196, 339, 358,\n",
      "       463,  40, 276, 194, 208, 306, 502, 260, 539, 480, 196, 339, 358, 463], dtype=int32), array([156, 570, 221,  39,  20, 193, 270, 234, 481,  20, 215, 208,  77,\n",
      "       502, 415, 205, 561,  13, 459, 234, 128], dtype=int32), array([232, 565, 273, 481,  99, 359, 544, 182, 208, 128, 502, 137], dtype=int32), array([241, 484,  13, 193, 208,  69, 502, 415, 205, 561,  13, 458, 234,\n",
      "       137, 358, 521], dtype=int32), array([554,  26, 221,  82, 105], dtype=int32), array([554, 527, 353, 217, 512,  50,  66, 234, 376], dtype=int32), array([232, 565, 273, 502, 254, 481, 194, 480,  50,  66, 270, 369, 353,\n",
      "       379, 502, 415, 205, 358, 496, 335,  19,   8, 384], dtype=int32), array([554, 156, 570, 221, 358, 317, 208, 128, 201, 564, 502, 351,  88], dtype=int32), array([232, 542, 502, 513, 208, 376, 502, 415, 205, 561,  13, 459, 234, 128], dtype=int32), array([554, 194, 268, 100,  40,  58, 234, 145,  53,   8, 384, 334, 518], dtype=int32), array([241, 484,  13, 193, 208, 376, 502, 351, 561,  13, 458, 234, 128], dtype=int32), array([284, 200,  13, 193, 208, 506, 502, 415, 147], dtype=int32), array([212, 301, 481, 194, 208, 378, 502, 312, 358, 546], dtype=int32), array([554, 194, 208, 128, 502, 229, 358, 463], dtype=int32), array([232, 565, 273, 502, 293,  13, 403, 200,  13, 193, 502, 137, 208,\n",
      "       376, 358, 491, 115, 463], dtype=int32), array([554, 194, 213, 208,  97, 502,  69, 234, 481, 321], dtype=int32), array([554, 252, 353,  23, 157, 136, 196,  72,   8,  35, 358,  65, 424,\n",
      "       208,  77, 502, 137], dtype=int32), array([554, 194, 208, 100, 502, 251, 104], dtype=int32), array([193, 208, 137, 502, 413, 256, 104], dtype=int32), array([157, 120, 196, 208,  77, 502, 415, 205, 561,  13, 458, 234, 137], dtype=int32), array([276,  32, 469,  40, 259,  62, 209, 316, 239], dtype=int32), array([ 89, 570, 224, 301, 561, 217, 512, 237, 232, 331, 502, 211, 208,\n",
      "       481,  29, 234, 376, 502, 159, 376], dtype=int32), array([276,  32, 481,  26, 480, 430, 137], dtype=int32), array([554, 241, 481, 410, 515, 182, 358, 120,  11, 208, 137, 502, 415,\n",
      "       205,  40, 407], dtype=int32), array([439, 301, 481,  99, 194, 410, 515, 208, 332, 569, 502, 415, 247], dtype=int32), array([217, 512, 543], dtype=int32), array([234, 128, 201, 564, 232, 565, 273, 237, 358, 217, 512], dtype=int32), array([439, 301, 407, 194, 208, 102, 502, 413, 256, 104, 339], dtype=int32), array([196, 208, 128, 502,  69], dtype=int32), array([232, 565, 273, 502,  75,  13, 193, 208, 100, 502, 423, 358, 249, 204], dtype=int32), array([554,   4, 481, 265, 193, 208, 415, 205, 502,  64], dtype=int32), array([241, 484,  43, 193, 270, 543,  53,   8, 350, 200, 137], dtype=int32), array([183, 208, 128, 502,  69], dtype=int32), array([194, 208,  64, 502, 415, 205,  65, 424], dtype=int32), array([554, 217, 512, 241,  66, 208, 481, 379,  29, 502, 159,  40, 230,\n",
      "       324, 157, 242, 121], dtype=int32), array([232, 331,  13, 193, 208, 415, 205, 502,  77, 480, 269,  19,   8, 384], dtype=int32), array([554, 157, 411,   7,  61,  13, 302], dtype=int32), array([157, 136,  23, 196, 133], dtype=int32), array([554, 241, 481, 419, 353, 194, 208,  77, 502, 137, 334, 317], dtype=int32), array([232,   2, 517, 502, 189,  13, 193, 208, 251, 104, 502,  81, 358,\n",
      "       416, 481, 524, 424], dtype=int32), array([232, 542, 502, 513, 208,  69, 502, 543, 358,  13, 317], dtype=int32), array([554, 526, 353,  23, 270,  19,   8, 384, 208,  77, 502, 351], dtype=int32), array([333, 502, 313, 358, 463], dtype=int32), array([276, 194, 208, 128, 502, 415, 205], dtype=int32), array([554, 194,  50, 484, 358, 463, 208, 423, 502, 313], dtype=int32), array([439, 301, 194,  60, 234,  69, 208, 379,  73,   8,  40,   8, 384], dtype=int32), array([439, 301, 481,  24, 208, 379, 502, 415, 205], dtype=int32), array([439, 301, 481, 194, 208, 415, 147, 502, 333], dtype=int32), array([567, 232,   0, 273,  13, 193, 208, 282,  71, 502, 452, 286,  86,\n",
      "       544, 353, 128], dtype=int32), array([212, 301, 481, 194,  40, 183, 358, 134, 524, 435, 208, 236, 502, 367], dtype=int32), array([439, 301, 194, 208, 312, 502, 367, 358, 546,  19,   8, 384], dtype=int32), array([554,   4, 481,  99, 359, 544, 498, 208,  69, 502,  64], dtype=int32), array([554, 241, 231], dtype=int32), array([156, 570, 221,  13, 193, 208, 413, 256, 104, 502, 452, 375, 358,\n",
      "       249, 424], dtype=int32), array([232, 331, 502, 213, 208,  77, 502,  64,  40,  68, 234, 481, 414,\n",
      "       130, 189, 301, 481, 165, 193, 208,  77], dtype=int32), array([554,   4, 405,   7], dtype=int32), array([276, 141, 501, 208, 137, 502, 376, 557,  50, 264, 478,   9, 350,\n",
      "        40, 164, 478,   8, 384], dtype=int32), array([383, 276, 481,  37,  26, 194, 208, 229, 502, 312], dtype=int32), array([439, 301, 481,  26,  73, 506,  40, 137], dtype=int32), array([226, 123, 232, 211,  13, 359, 544, 498, 208, 312, 502, 367], dtype=int32), array([189,  13, 193, 208, 506, 502, 415, 147, 561,  13, 266, 234, 132,\n",
      "       358, 136,  26], dtype=int32), array([439,  20, 194, 208, 128, 502, 415, 205], dtype=int32), array([554, 156, 570, 221, 504, 321, 208, 379, 502,  64], dtype=int32), array([554, 217, 512, 241, 484, 234,  64], dtype=int32), array([554, 241, 481, 154, 208, 285,  41, 239,  29, 502, 285,  41], dtype=int32), array([439, 301,  32, 481, 237,  16, 481, 193, 208,  69, 502, 128, 557,\n",
      "       241,   7, 155,  11, 155,  10], dtype=int32), array([407, 208, 307, 502, 332, 569, 358, 508,  22, 358, 417], dtype=int32), array([554, 194, 138, 333, 200, 471, 358, 206], dtype=int32), array([ 89, 570, 276,  32, 481,  26, 480, 221, 194, 208,  77, 502, 415, 205], dtype=int32), array([439, 301, 481, 194, 208,  64, 502,  69], dtype=int32), array([439, 301, 481, 194,  60,  53, 341, 234,  69, 208, 137], dtype=int32), array([232, 565, 273, 194,  73,  77,  40,  64, 358, 248,   7, 139,  62,\n",
      "       359, 234, 481,  20], dtype=int32), array([439, 301, 481, 194, 208,  77, 502, 415, 205], dtype=int32), array([230, 324, 241,  13, 190, 105, 498, 208,  77, 502, 415, 205], dtype=int32), array([554, 241, 481,  99, 182, 480, 232,  89, 211,  73, 376,  40, 415, 205], dtype=int32), array([232, 542, 502, 196, 208,  77, 502, 128], dtype=int32), array([554, 194, 156, 570, 221,  73, 351,  40,  77, 561,  13, 459, 234,\n",
      "       128, 201, 564], dtype=int32), array([277, 353,  32, 190, 105, 194, 208, 543, 502, 415, 205], dtype=int32), array([232, 542,  13, 193, 139, 208, 333, 502, 285,  41, 480, 269, 234,\n",
      "       481, 321], dtype=int32), array([383, 439, 301,  24, 353, 193, 532,  10, 208,  77, 502, 379], dtype=int32), array([212, 301, 481,  99, 410, 515, 193, 208, 128, 502,  69], dtype=int32), array([123, 570, 473, 301,  16, 217, 512,  55, 208, 481, 128,  29, 502,\n",
      "       159, 128], dtype=int32), array([439, 301, 217, 512, 234, 128, 383], dtype=int32), array([439, 301,  32, 481, 194, 480,  58, 234,  69, 234, 481, 174], dtype=int32), array([554, 217, 512, 241,  66, 234, 137], dtype=int32), array([439, 217, 512, 200, 379], dtype=int32), array([123, 570, 189, 301,  13, 193, 208,  77, 502, 415, 205, 480, 462,\n",
      "       234, 137], dtype=int32), array([383, 276, 194,  73, 137,  40,  77], dtype=int32), array([156, 570, 221,  43, 152, 194, 208, 379, 502,  64], dtype=int32), array([232, 331,  13, 190, 105, 498, 358, 530,  26, 208, 137, 502,  69,\n",
      "         7, 200, 134, 434], dtype=int32), array([439, 301,  32, 194, 208, 376, 502,  64, 480, 268,  19,   8, 384,\n",
      "       358, 546], dtype=int32), array([555, 156, 382, 268,  77, 200], dtype=int32), array([123, 570, 383, 276,  32, 353, 481, 106, 353, 194, 484,  50], dtype=int32), array([554, 241, 481, 288, 182, 530,   7,  73,  77,  40, 415, 205], dtype=int32), array([554, 241, 481, 190, 193, 208,  77, 502,  64,  40, 554, 241, 481,\n",
      "       261, 193, 208,  64, 502,  77], dtype=int32), array([232,   2, 517, 502, 189,  13, 193, 208, 114, 502, 378, 495, 102], dtype=int32), array([554, 217, 512, 241,  66, 234, 379], dtype=int32), array([ 32, 194, 378, 502, 436], dtype=int32), array([554, 156, 570, 254,  16,  93, 399, 234, 137], dtype=int32), array([554, 241, 481,  99, 544, 502, 513, 410, 515, 208, 312, 502, 415, 205], dtype=int32), array([554,  26, 196, 208,  77, 502, 137], dtype=int32), array([232,   0, 273, 502,  75, 481,  99, 193, 208,  64, 502, 137, 358,\n",
      "        65, 190], dtype=int32), array([386, 353, 193, 208, 328, 502, 107], dtype=int32), array([383, 439, 301, 194, 208, 379, 502,  77, 358, 416, 321,  19,   8,  35], dtype=int32), array([276, 481, 194, 208, 452, 372, 502, 415, 247,  40, 208, 452, 372,\n",
      "       502, 229], dtype=int32), array([194,  73, 332, 569,  40, 415, 247], dtype=int32), array([128, 502, 351, 317], dtype=int32), array([232,   1, 331,  13, 399,  93,  62, 481,  64,  29,  89, 570, 439,\n",
      "       301, 554,   4,  66], dtype=int32), array([276, 194, 208,  64, 502,  77, 358, 546,  20], dtype=int32), array([439, 301, 481, 194, 208, 236, 502, 367, 561, 410, 515, 183, 271,\n",
      "       478,  11], dtype=int32), array([554,  50, 481, 150, 194, 208, 236, 502, 415, 147, 358, 546, 299, 522], dtype=int32), array([232,   0, 273,  13, 407, 193, 208, 137, 502,  64, 174, 194], dtype=int32), array([554, 193, 214, 208, 137, 502,  69, 190, 105, 358, 530,  26,  60,\n",
      "       358, 299, 435], dtype=int32), array([339, 363, 117, 194, 208, 423, 502,  77], dtype=int32), array([439, 301,  32, 194, 208, 351, 502, 376, 358, 416, 557, 427,  13, 302], dtype=int32), array([554, 194, 213, 208, 137, 502,  64], dtype=int32), array([554, 241, 481, 261, 193, 353, 481, 130, 502, 268,  69, 200,  77], dtype=int32), array([554, 194,  50, 484, 208, 312, 502, 378, 358, 416], dtype=int32), array([439, 301, 194, 208, 379, 502, 132], dtype=int32), array([ 32, 194, 208,  77, 502, 543], dtype=int32), array([232, 542, 502, 213,  73,  77,  40, 543, 166, 234, 481, 321], dtype=int32), array([383, 439, 301,  32, 410, 515, 194, 208,  81, 502, 466], dtype=int32), array([357, 358, 317, 299, 490, 190, 232,   0, 273, 502, 213, 208, 415,\n",
      "       147, 502, 378, 166, 234, 481, 321], dtype=int32), array([554,  50, 481, 110, 105, 183, 358, 194, 208, 379, 502,  64], dtype=int32), array([378, 502, 333, 546], dtype=int32), array([554, 194,  50,  66, 208,  64, 502, 351, 561, 359, 544, 168, 183], dtype=int32), array([123, 232, 221, 481, 194, 208, 333, 502, 367, 383], dtype=int32), array([383, 276, 481, 321, 194, 208, 251, 104, 502,  64], dtype=int32), array([439, 301, 194, 208,  77, 502, 376, 358,  13, 317], dtype=int32), array([554, 565,  70, 121, 353,  13, 410, 515, 208, 379, 502, 415, 205], dtype=int32), array([554, 241,   7], dtype=int32), array([567, 358, 481, 136, 193, 270, 415, 205,  62,  10, 384,  60, 376,\n",
      "        11, 384, 554, 526, 353,   7, 241, 534, 358, 480, 193], dtype=int32), array([232, 331,  13, 193, 208, 282,  71, 502, 452, 286, 461, 234, 128,\n",
      "       481, 193, 438,  34, 427, 290], dtype=int32), array([241, 484,  13, 496, 335, 193, 208, 379, 502, 415, 205, 358, 532,  22], dtype=int32), array([232, 565, 273, 502, 196, 208,  77, 502, 351, 554,  26, 196, 208,\n",
      "        77, 502, 351], dtype=int32), array([410, 515,  22, 183, 208,  69, 502, 376, 271, 478,  11, 158], dtype=int32), array([439, 301, 194, 208, 379, 502, 376, 358, 546, 321], dtype=int32), array([554, 241, 481, 217, 512,  66, 234,  77], dtype=int32), array([357, 554, 232,   0, 273, 502, 156, 358, 491, 359, 241, 213, 208,\n",
      "       543, 502,  64, 232, 542,  13, 339,  40, 232,   0, 273, 502, 268,\n",
      "        53,   8, 384], dtype=int32), array([554, 344, 194, 458, 234, 137], dtype=int32), array([197, 208, 379, 502, 376, 358, 532,  22], dtype=int32), array([383, 276,  32, 481,  60,  40, 139, 194, 208, 209, 316, 239], dtype=int32), array([232, 331,  13, 193, 208, 332, 569, 502, 506, 496, 299, 440,  60,\n",
      "        86, 341], dtype=int32), array([439, 301, 481, 194, 208, 415, 205, 502, 128, 358, 120,  26], dtype=int32), array([241, 484,  13, 193, 270, 415, 205, 502, 137], dtype=int32), array([194, 208, 333, 502, 107, 127,   8, 350, 384], dtype=int32), array([439, 301, 481, 194, 208, 137, 502, 376,  21], dtype=int32), array([157, 311, 178, 427, 107], dtype=int32), array([217, 512, 234, 137], dtype=int32), array([ 13, 190, 105, 193, 358,  37, 502, 415, 205, 358, 481, 115, 518], dtype=int32), array([554, 241, 481, 165, 193, 208,  77, 502,  64], dtype=int32), array([554, 194, 208,  81, 502, 312, 268,  81, 504], dtype=int32), array([439, 301, 183, 208, 307, 502, 332, 569], dtype=int32), array([230, 181, 241, 351,  29, 208, 159], dtype=int32), array([ 37,  26, 270, 378], dtype=int32), array([554, 241, 481, 261, 193, 270, 415, 205, 215, 502, 543, 358, 206], dtype=int32), array([232, 565, 273, 237, 358, 194, 270,  64, 234, 481,  20,  60, 234, 128], dtype=int32), array([554, 241, 481,  99, 182,  73,  77,  40, 415, 205], dtype=int32), array([383, 439, 301,  32, 359, 544, 190, 105, 194, 208, 236, 502, 306], dtype=int32), array([241, 484,  13, 193, 358,  37,  26, 208,  77, 502, 137], dtype=int32), array([232,   0, 273, 502, 196, 208, 376, 502, 128, 502, 415, 205], dtype=int32), array([439, 301, 481, 194, 208, 376, 502,  69], dtype=int32), array([230, 296, 530, 194,  50, 484, 502, 415, 205], dtype=int32), array([383, 439, 301, 166, 321, 194, 208,  64, 502, 376, 358, 546], dtype=int32), array([473, 301,  16, 194, 358,  37,  26, 208, 128, 502, 415, 205, 358,\n",
      "       249, 524, 337], dtype=int32), array([554, 194, 208, 332, 569, 502, 285,  41,  19,   9,  35], dtype=int32), array([230, 296, 194, 157, 136, 221, 561,  13, 105, 353, 430, 111, 179], dtype=int32), array([ 89, 570, 212, 301, 237, 358, 512, 208, 481,  29, 234, 376, 502,\n",
      "       159, 376], dtype=int32), array([232, 331, 502, 293, 404, 208, 137, 502,  77], dtype=int32), array([439, 301,  32,  91,  26, 194, 208, 506], dtype=int32), array([439, 301, 481, 194, 208,  69, 502, 128], dtype=int32), array([357, 123, 570, 473, 301, 554, 193, 269, 128, 502, 415, 205,  86,\n",
      "       530,  25], dtype=int32), array([276,  32, 481,  60, 194,  62, 209, 316, 239], dtype=int32), array([439, 301, 481, 194, 208,  77, 502, 379, 358, 546, 363, 496], dtype=int32), array([232, 331, 237, 358, 194, 270, 376, 358, 206,  60, 234, 351,  88], dtype=int32), array([212, 301,  13, 193, 208, 471, 502,  97, 358, 463], dtype=int32), array([439, 301, 481, 194, 208,  32,  30, 502, 287, 186], dtype=int32), array([554,  50,  32, 194, 208,  77, 502, 379, 358, 547], dtype=int32), array([554, 217, 512, 241,  66, 234,  69, 200, 481, 130,  19, 504], dtype=int32), array([276, 481, 194, 208, 128, 502,  69], dtype=int32), array([194, 208,  69, 502, 543, 132], dtype=int32), array([554, 241, 481, 386, 353,  37,  26, 193,   9, 208, 332, 569, 502,\n",
      "       285,  41], dtype=int32), array([383, 212, 301, 194,  66, 208, 137, 502, 376], dtype=int32), array([439, 301, 168, 183, 208, 128, 502,  69], dtype=int32), array([ 99, 193, 208, 306, 502, 307], dtype=int32), array([212, 301, 481, 288, 182, 208,  64, 502, 137, 358, 299, 435, 383], dtype=int32), array([383, 276, 360, 530,  26, 194,  73, 137,  40,  77], dtype=int32), array([439, 301,  32, 194, 208, 379, 502, 351, 480,  58,  19,   9,  35], dtype=int32), array([358, 345, 524, 487, 554, 194,  50,  66,  73,  77,  40, 137, 358,\n",
      "        37,  26], dtype=int32), array([554,  50,  32, 194, 208, 415, 205, 502, 376, 561, 462, 234, 379], dtype=int32), array([ 32, 194, 208,  69, 502, 376, 271, 478,  11, 158], dtype=int32), array([554, 157, 405,  45,   9, 304], dtype=int32), array([554,  50, 117, 194, 208, 100, 502, 423, 358, 249, 190], dtype=int32), array([212, 301, 194, 480,  58, 234,  69, 208, 137], dtype=int32), array([557,  25, 241, 481,  99, 502, 196, 208, 128, 502,  69, 358, 134,\n",
      "       524, 204], dtype=int32), array([439, 301,  32, 194, 208, 415, 205, 502, 332, 569, 339], dtype=int32), array([439, 301, 481,  99, 194, 208,  69, 502, 128], dtype=int32), array([193, 208, 128, 502, 312], dtype=int32), array([232,   0, 273, 502, 196, 208, 376, 502, 415, 205, 495, 128], dtype=int32), array([554, 241, 481, 121, 353, 481,  22, 472,   7,  62, 376, 239,  29], dtype=int32), array([554, 157,   7, 304], dtype=int32), array([276,  32, 194, 383, 208, 543, 502, 415, 205], dtype=int32), array([439, 301, 481, 265, 150, 193, 208,  69, 502, 351], dtype=int32), array([554,  26, 196, 208, 506, 502, 415, 147, 561,  13, 459, 234, 137], dtype=int32), array([232,  34, 331, 502, 213, 502, 415, 205, 358, 546, 174, 208, 128], dtype=int32), array([194, 208, 260, 539, 502, 319], dtype=int32), array([439, 301,  32, 194, 358, 496, 208,  64, 502, 351, 557,  58, 234,\n",
      "       351,  72,   8, 350, 384,  40, 427,  13, 302], dtype=int32), array([554, 241, 481, 165, 193,  73,  77,  40, 543], dtype=int32), array([439, 301, 387,  40, 501, 200, 190, 105, 513, 208,  69, 502, 128,\n",
      "       334,   7], dtype=int32), array([376, 502, 128,  60,  72,   8, 234, 481,  20], dtype=int32), array([284, 200,  13, 193, 208, 107, 502, 128], dtype=int32), array([232,   0, 273, 502, 196, 208, 114, 502, 328, 504, 321], dtype=int32), array([232, 331, 502, 213, 208,  77, 502, 128], dtype=int32), array([276, 194, 208, 145, 502, 415, 147, 358, 496], dtype=int32), array([439, 301, 481, 194, 208, 287, 186], dtype=int32), array([439, 301, 194, 208, 332, 569, 502, 307], dtype=int32), array([383, 276, 481, 194, 208, 452, 372, 502, 251, 104, 358, 206, 335,\n",
      "       480, 427, 303], dtype=int32), array([554, 241, 481,  99, 193, 208,  77, 502,  64], dtype=int32), array([339, 194, 208, 332, 569, 104, 502, 260, 539, 358, 463], dtype=int32), array([554,  50, 481,  99, 194, 208, 137, 502, 379, 480, 458, 234,  64], dtype=int32), array([194, 208, 379, 502,  69,  73,   9,  35,  40,   8, 384], dtype=int32), array([554, 157, 217, 512, 283, 273, 234, 351], dtype=int32), array([383, 276,  32, 194, 358, 530,  26,  40, 344,  26, 480, 213, 240,\n",
      "       137,  40,  32, 194, 358, 344,  26,  40, 530,  26, 480, 196, 369,\n",
      "       353, 137], dtype=int32), array([194,  73,  69,  40, 543, 132], dtype=int32), array([232, 542, 502, 196, 208,  77, 502,  64, 232, 565, 273, 481,  99,\n",
      "       182, 383], dtype=int32), array([554, 241, 481,  99, 359, 544, 182, 208,  43, 104, 502,  42], dtype=int32), array([554, 241, 481, 568, 111], dtype=int32), array([557,  26, 196, 208,  77, 502, 543, 132, 541, 368, 103], dtype=int32), array([557,  26, 196, 208,  77, 502, 543, 132, 541, 368, 103], dtype=int32), array([554,  50, 481, 194, 234, 481, 318, 353, 134, 208,  64, 502, 137,\n",
      "       557, 458, 234,  77], dtype=int32), array([437, 174, 193, 208, 471, 502, 102], dtype=int32), array([439, 301, 481,  93, 400, 234,  69], dtype=int32), array([554, 241, 481,  99, 182, 208, 128, 502, 137, 410, 515], dtype=int32), array([554,  26, 192, 369, 353,  64], dtype=int32), array([439, 301, 194, 208,  69, 502, 376], dtype=int32), array([554, 194, 268, 208, 378, 502, 328, 358,  37,  26], dtype=int32), array([554,   4, 481, 165, 193, 208, 128, 502, 229], dtype=int32), array([554, 194,  50,  73,  77,  40,  64, 358, 248, 490, 190], dtype=int32), array([383, 212, 301, 217, 512, 237,  73, 128, 201, 564,  29,  40, 159, 128], dtype=int32), array([439, 301, 194, 208, 415, 205, 502, 128, 383], dtype=int32), array([554,  50, 481, 194, 208, 251, 104, 502,  81, 358, 416, 299, 524,\n",
      "       525, 358,  36, 552], dtype=int32), array([439, 301, 481, 194, 208, 287, 186, 502, 368,  30], dtype=int32), array([554,  50, 481,  99, 359, 544, 194, 208,  64, 502, 137], dtype=int32), array([439, 301,  32, 194, 208,  77, 502, 137, 557,  58, 234, 137, 546,\n",
      "        72, 341], dtype=int32), array([554, 194,  50,  66, 208, 137, 502, 376, 561, 459, 234, 379], dtype=int32), array([153, 527, 353,  23, 139, 208, 107, 502, 128,  72, 341], dtype=int32), array([232,   0, 273, 502, 221, 193, 208, 137, 502, 379], dtype=int32), array([439, 301, 217, 512, 234, 137, 161, 550], dtype=int32), array([554, 241, 481, 419, 200, 194,  73, 379,  40,  77, 358, 481, 174,\n",
      "       353, 248, 337], dtype=int32), array([383, 276, 481, 194, 208, 137, 502, 378], dtype=int32), array([439, 301, 481, 194, 208,  77, 502, 415, 205], dtype=int32), array([554, 252, 353, 217, 512, 241,  66, 234, 137], dtype=int32), array([212, 301,  32, 481, 194, 208, 332, 569, 502, 307, 410, 515], dtype=int32), array([439, 301, 481, 194, 208, 137, 502,  64], dtype=int32), array([554, 241, 481, 265,  20, 193, 139, 415, 205,  40,  60, 234,  77,\n",
      "       358, 345, 337], dtype=int32), array([232, 331,  13, 193, 208, 137, 502, 376, 358, 416], dtype=int32), array([232, 565, 273, 502,  75,  39, 166, 321, 193, 208, 471, 502,  97,\n",
      "       358,  49, 443], dtype=int32), array([232, 331,  13, 193, 208, 332, 569, 502, 415, 205], dtype=int32), array([383, 212, 301, 194,  66, 208,  69, 502, 376], dtype=int32), array([473, 301,  16, 194, 208, 506, 502, 413, 256, 104, 270, 506,  73,\n",
      "        10,  40,   8, 384], dtype=int32), array([276,  32, 194, 208,  69, 502, 376], dtype=int32), array([439, 301,  32, 194, 208, 415, 205, 502, 255, 218, 339], dtype=int32), array([276, 410, 515, 194, 208, 367, 502, 251, 104], dtype=int32), array([232,   0, 273, 502, 196, 208,  77, 502, 201, 564], dtype=int32), array([153,  32, 194, 208,  69, 502, 128, 358, 248, 524, 337], dtype=int32), array([554, 194, 208, 452, 372, 502, 251, 104, 358, 206, 561,  13, 302], dtype=int32), array([439, 301, 481, 194,  66, 208, 128, 502,  69,  65, 487], dtype=int32), array([232, 565, 273, 502, 189,  13, 193, 480, 214, 208, 471, 502, 319,\n",
      "       295,  13, 458, 234, 332, 569,  40,  13, 193, 480, 429, 290], dtype=int32), array([554, 217, 512, 241, 484, 234, 128], dtype=int32), array([554,   4, 481, 148,  73, 182, 111, 390,  40, 182, 111, 179], dtype=int32), array([232, 565, 273, 502,  75,  13, 193, 215, 208, 471, 502, 423, 358,\n",
      "       299, 524, 443, 232, 565, 273, 502, 458, 234, 312, 358, 481, 544], dtype=int32), array([383, 439, 301,  26, 561, 194, 208, 137, 502, 376], dtype=int32), array([232, 542, 502, 189,  13, 193, 208,  77, 502,  64], dtype=int32), array([554, 217, 512, 241,  66, 208, 481, 379,  29], dtype=int32), array([232,   0, 273, 502, 196, 530,  26, 208, 543, 502, 137], dtype=int32), array([232, 278, 234, 137,  40, 232,   0, 273, 502, 293,  13, 515, 502, 379], dtype=int32), array([439, 301, 481,  99, 182, 208, 128, 502,  69], dtype=int32), array([358, 345, 524, 487, 554, 194, 213, 208,  64, 502, 137, 358, 136,  26], dtype=int32), array([232, 331, 502, 196, 208,  77, 502, 137, 358, 502, 415, 205,  40,  68], dtype=int32), array([189, 301, 481, 165,  77, 141, 200,  64,  40, 481, 262, 407, 515,\n",
      "       208,  64, 446, 480, 232,  89,  70, 234,  64, 481,   7,  38, 353,\n",
      "       500,  83, 407, 502,  77, 481, 414, 130], dtype=int32), array([193, 208, 128, 502,  77, 504], dtype=int32), array([194,  73, 312,  40, 367, 359, 544], dtype=int32), array([232, 565, 273, 502, 196, 208, 376, 502, 128], dtype=int32), array([189,  13, 193, 208, 282,  71, 502, 452, 286, 461, 234, 128], dtype=int32), array([189,  13, 510, 193, 358,  37,  26, 208,  77, 502, 415, 205, 480,\n",
      "       294,  13, 459, 234, 137], dtype=int32), array([237, 358,  37,  26, 208, 201, 564, 477, 502, 376], dtype=int32), array([439, 301, 194,  73, 332, 569, 104,  40, 260, 539, 358, 463], dtype=int32), array([439, 301, 481,  99, 359, 544, 194, 208, 379, 502, 128, 270, 379,\n",
      "        73, 341,  40,   8, 384], dtype=int32), array([276, 194, 208, 376, 502, 415, 205, 496], dtype=int32), array([232, 542, 502, 196, 208, 376, 502, 128, 561,  13, 458, 234,  64,\n",
      "       358,  13,  80, 193], dtype=int32), array([232,   0, 273,  34, 502,  75,  13, 359, 544, 193, 208, 379, 502,\n",
      "        64, 481,  99, 359, 358, 248, 523], dtype=int32), array([ 89, 570, 473, 301, 481,  20, 339, 194, 139, 208,  64, 502,  77], dtype=int32), array([439, 301, 481, 194, 208, 452, 375, 502, 506, 480,  58,  72, 341], dtype=int32), array([ 32, 194, 208,  77, 502, 376, 557, 439, 531, 358, 518,  20], dtype=int32), array([156, 570, 221,  39,  10, 193, 208, 137, 502, 415, 205], dtype=int32), array([276, 127, 194, 208, 137, 502,  69, 561, 190, 105, 430], dtype=int32), array([ 50, 484,  43, 264, 194, 478,  10, 384, 270, 208, 312, 200, 466,\n",
      "       504, 174], dtype=int32), array([439, 301,  32, 193, 208, 415, 205, 502, 351], dtype=int32), array([439, 301, 481, 194, 208, 452, 375, 502, 506, 480,  58, 166, 234,\n",
      "       481, 321], dtype=int32), array([383, 276,  32, 194, 208, 137, 502, 376, 525, 417, 208, 346], dtype=int32), array([554, 344, 194, 458, 234, 137], dtype=int32), array([439, 481, 194, 208, 415, 205, 502, 379], dtype=int32), array([554,  26, 196, 208,  77, 502, 415, 205], dtype=int32), array([554, 241, 481, 419, 353, 217, 512, 208, 481,  29, 234, 376, 240, 159], dtype=int32), array([232,   2, 234, 307,  40, 232,   0, 273, 502, 513, 502, 260, 539,\n",
      "       358, 463], dtype=int32), array([212, 301, 463, 339, 194, 208, 306, 502, 260, 539], dtype=int32), array([248, 435, 554, 241, 481, 121, 353,  13, 410, 515, 498, 514, 190,\n",
      "       105, 358, 530,  26, 270, 208, 137, 215, 502,  69], dtype=int32), array([357,  40,  89, 570, 473, 301, 200, 194, 139, 208, 128, 502, 376,\n",
      "       481, 265, 193, 570, 565, 221, 139, 208, 128, 502, 376], dtype=int32), array([383, 276, 481, 463, 194, 208, 128, 502, 229, 358,  37,  26], dtype=int32), array([ 89, 570, 439, 301, 481, 194, 208,  69, 502, 128], dtype=int32), array([189, 513,  55, 200,  13, 410, 515, 193, 208,  69, 502, 379], dtype=int32), array([232, 565, 273, 481, 500, 571, 165, 193, 208, 543, 502, 376], dtype=int32), array([194, 208, 137, 502, 423, 358, 416, 321, 358, 120], dtype=int32), array([554, 194, 213, 208, 376, 502, 128, 541,  64], dtype=int32), array([232, 565, 273, 447, 237, 358,  13, 193, 208, 137, 502, 415, 205,\n",
      "       358, 530,  26], dtype=int32), array([439, 194, 190, 105, 358,  37, 208, 128, 201, 564, 502, 415, 205, 239], dtype=int32), array([232, 565, 273, 502, 254, 481, 527, 353, 217, 512, 208, 481,  29,\n",
      "       502, 260, 539], dtype=int32), array([439, 301, 481, 103, 428,  86,  91,  26, 239], dtype=int32), array([554, 241, 481,  99, 193, 208,  77, 502, 415, 205], dtype=int32), array([439, 301, 190, 105, 194, 359, 544, 471, 502, 452, 286], dtype=int32), array([232, 331, 193, 237, 358, 496, 270, 379,  40,  60, 234,  69, 234,\n",
      "       481, 321], dtype=int32), array([554, 241, 481, 265, 141, 208,  77, 502, 379, 358, 481, 435, 353, 248], dtype=int32), array([194, 208, 246, 363, 255, 218, 502, 107], dtype=int32), array([439, 301, 481, 194, 208, 128, 502,  69, 561,  13, 182, 353,  10, 158], dtype=int32), array([554, 194, 156, 570, 221, 208, 312, 502, 471], dtype=int32), array([276, 481, 194, 208, 376, 502, 128, 358,  37,  26], dtype=int32), array([439, 301,  32, 339, 194, 208, 413, 256, 104, 502, 102], dtype=int32), array([232,  35, 284, 502, 211, 359,  22, 182, 208,  69, 502, 415, 205,\n",
      "       358,  13,  10, 270,  65, 524, 435], dtype=int32), array([232, 542,  13, 193, 208,  77, 502, 137, 480, 462, 234, 379], dtype=int32), array([357, 480, 359,   4, 216, 505, 346, 545,   3, 215, 502, 213, 358,\n",
      "        49, 524, 424, 128, 502, 543, 481, 265,   7, 141, 359, 544], dtype=int32), array([439, 194, 208, 137, 502, 351], dtype=int32), array([232, 565, 273, 502, 196, 532,  22, 208, 367, 502, 107, 234, 481,\n",
      "       263, 174, 554, 156, 570, 221,  66], dtype=int32), array([189,  13, 193, 358, 136, 208, 376, 502, 415, 205], dtype=int32), array([439, 217, 512, 234, 137], dtype=int32), array([439, 321, 194, 208, 415, 205, 502, 379], dtype=int32), array([554,  35, 194,  50,  66, 208, 379, 502,  77], dtype=int32), array([241, 484, 217, 512, 208,  64,  29, 502, 159,  64], dtype=int32), array([157, 193, 528,  10, 208,  77, 502, 137, 268, 358, 518], dtype=int32), array([190, 105, 386, 415, 205, 379, 410, 515], dtype=int32), array([135,  25, 532], dtype=int32), array([232,   2, 284, 200,  13, 193, 208, 351, 502, 137, 561,  13, 459,\n",
      "       234, 128, 201, 564], dtype=int32), array([439, 301, 194, 208, 128, 502,  64], dtype=int32), array([554, 168, 194,  50,  66, 208, 128, 502,  69, 358, 248, 524, 188,  11], dtype=int32), array([557,  26, 221, 194, 208, 137, 502, 379], dtype=int32), array([554,  50, 481, 190, 105,  40, 110, 183, 200, 194, 208, 100, 502,\n",
      "       251, 104,  60,  53,   8, 384, 334, 496], dtype=int32), array([555, 157, 120, 196, 208, 376, 502, 137, 358, 464], dtype=int32), array([439, 301, 481,  99, 194, 208, 415, 205, 502, 376], dtype=int32), array([232, 542, 502, 268, 376,  40,  58, 234,  64, 358,  13, 496], dtype=int32), array([554,  50, 481, 194, 208, 137, 502, 415, 205], dtype=int32), array([439, 301,  32, 481, 194, 208, 376, 502, 415, 205], dtype=int32), array([276,  32, 410, 515, 183, 208, 452, 375, 502, 543], dtype=int32), array([232, 331,  13, 407, 193, 208, 100, 502, 251, 104, 270, 100,  53,\n",
      "         8, 234, 481, 174, 358, 481, 130, 199, 334, 546], dtype=int32), array([358, 481, 193, 208,  69, 502, 415, 205, 358, 532,  22, 270,  62,\n",
      "        10, 554, 526, 353,  23, 241, 534], dtype=int32), array([554, 241, 481, 261, 193, 208, 543, 502,  77], dtype=int32), array([232, 331, 237, 358, 217, 512,  73,  29,  40, 159, 234, 481, 104,\n",
      "       353,  77], dtype=int32), array([276, 481, 344,  26, 194, 480, 268, 137,  72, 341], dtype=int32), array([276,  32, 194, 270, 137, 358, 120, 358, 463,  19,  10, 384], dtype=int32), array([554, 241, 481, 261, 193, 208, 415, 205, 502, 128, 201, 564], dtype=int32), array([439, 301, 481, 194, 208, 102, 502, 137], dtype=int32), array([189, 301, 481,  99, 193, 208,  77, 502, 543], dtype=int32), array([554, 241, 571, 267, 176, 182,  73,  64,  40,  77], dtype=int32), array([554, 194,  50, 484, 358, 546, 174, 208, 137, 502, 436], dtype=int32), array([439, 301,  32, 194, 208, 379, 502,  69, 504], dtype=int32), array([554, 241, 481, 261, 193, 208, 415, 205, 502,  77, 491, 546], dtype=int32), array([439, 301, 481, 194, 208, 114, 502,  97], dtype=int32), array([383, 439, 301, 481, 194, 208, 543, 502, 415, 205], dtype=int32), array([439, 301, 481, 194, 208, 128, 502,  69,  62, 168,   7], dtype=int32), array([554, 241, 481, 182, 200,  13, 359, 544, 193, 208,  77, 502,  64], dtype=int32), array([439, 301,  32, 194, 208,  77, 502,  64, 557, 268,  64,  19, 341, 504], dtype=int32), array([554, 217, 512, 241,  66, 234,  77], dtype=int32), array([554, 194,  50,  66, 208, 137, 502,  69, 190, 105, 358, 530,  26,\n",
      "        60, 299, 435,  72, 341], dtype=int32), array([554, 241, 481, 265, 193,  66,  73, 415, 205,  40,  77], dtype=int32), array([557, 194, 208, 306, 502, 466,  34, 458, 234, 285,  41], dtype=int32), array([439, 301, 194, 208,  77, 502, 415, 205,  60,  72,   8, 384], dtype=int32), array([276, 194, 208,  77, 502, 415, 205, 480, 427, 360,  80], dtype=int32), array([276, 481, 183, 353, 481, 136,  26, 194, 208,  77, 502, 376], dtype=int32), array([194, 208, 379, 502,  69,  73,   9,  35,  40,   8, 384], dtype=int32), array([226, 232, 331, 502, 213, 208, 102, 502, 415, 247,  88,  19,   8,\n",
      "       384, 358, 416], dtype=int32), array([554, 194, 213, 208, 376, 502, 415, 205, 561,  13, 459, 234, 128], dtype=int32), array([276,  32, 194, 208,  77, 502,  64,  72,   8, 350,  35, 358, 496], dtype=int32), array([217, 512, 234,  69], dtype=int32), array([212, 301, 481, 194, 208,  69, 502, 379], dtype=int32), array([123, 570, 439, 301,  32, 549, 194, 208, 378, 502, 137], dtype=int32), array([554,  27, 527, 196, 208, 379, 502,  69], dtype=int32), array([554, 194,  50, 484,  60, 234, 100, 358, 120,  19,   9, 384], dtype=int32), array([554,  50, 481, 106, 353, 430, 358, 521], dtype=int32), array([232, 565, 273, 502, 254, 481, 194,  66, 208,  77, 502, 137,  60,\n",
      "       234, 137,  86,   8, 350, 546, 321], dtype=int32), array([439, 301, 481, 194, 208,  69, 502,  64], dtype=int32), array([ 32, 194, 208, 137, 502, 379, 270,  19,   8, 384,  40,  72,   8, 384], dtype=int32), array([554,  50, 481, 194, 208, 312, 502, 367, 358, 496], dtype=int32), array([232,   0, 273, 502, 425, 481, 182, 111,  21, 394], dtype=int32), array([232, 542,  13,  98, 208, 137, 502,  64], dtype=int32), array([554,  50, 325, 302, 362, 208,  77, 502, 137], dtype=int32), array([194, 208, 415, 205,  65, 359], dtype=int32), array([554, 194,  50,  66, 208, 128, 502,  64, 561, 359, 544, 168, 183], dtype=int32), array([157, 530, 221,  13, 193, 208, 307, 502, 543, 132, 358, 546], dtype=int32), array([  7, 212, 301, 481, 526, 353,  23, 534, 502, 196, 208,  64, 502, 137], dtype=int32), array([554,  50, 481, 194, 208, 128, 502, 415, 205, 358, 518, 352, 190], dtype=int32), array([383, 276, 481,  99, 193, 208, 128, 502,  69,  60, 358, 299, 435], dtype=int32), array([230, 324, 157, 242, 121, 502, 398,  13,  93, 234, 466], dtype=int32), array([554, 193, 208,  77, 502,  64,  59, 165, 234,  64], dtype=int32), array([554, 241, 481, 165, 193, 480, 167, 220,  73,  77,  40, 543], dtype=int32), array([554, 194,  50,  66, 208,  77, 502, 137, 358, 546, 234, 166, 321], dtype=int32), array([554,   4, 481, 419, 353, 194, 208,  64, 502,  77, 358,  65, 190], dtype=int32), array([554, 241, 288, 121,  22, 182,  66, 200,  13, 193, 208, 128, 502,\n",
      "        69,  60, 358, 248, 204], dtype=int32), array([554, 252, 353,  23, 156, 570, 221, 197, 208,  77, 502, 415, 205,\n",
      "       358,  65, 524, 435], dtype=int32), array([232, 331,  13, 193, 208,  77, 502, 415, 205, 270, 234, 481,  20,\n",
      "        40,  60, 234, 481, 174, 479, 570], dtype=int32), array([123, 570, 383, 189, 301, 481,  99, 359, 544, 182, 208,  77, 502, 376], dtype=int32), array([554, 194, 156, 570, 221, 503, 208, 415, 205, 502, 379], dtype=int32), array([357, 230,  16,  13, 193, 358, 463, 208, 471, 502,  97], dtype=int32), array([439, 481, 194, 480, 268, 376, 480, 213, 502,  64, 480, 268, 166,\n",
      "       358, 496, 321], dtype=int32), array([383, 276, 481, 165, 290, 193, 208, 114, 502, 378], dtype=int32), array([554, 241, 185], dtype=int32), array([232,   0, 273,  13, 193, 358, 248, 337, 208, 367, 502, 251, 104,\n",
      "       234, 481,  20], dtype=int32), array([554,  50, 481, 194, 208, 466, 502, 415, 247,  34, 358, 518, 481,\n",
      "       170, 353, 299], dtype=int32), array([194, 208,  64, 383], dtype=int32), array([232,  35, 238, 234,  13, 193, 358,  37,  26, 208, 128, 502, 543], dtype=int32), array([276, 481, 194,  60, 234,  69, 208, 137, 358,  65, 487], dtype=int32), array([554,  50, 481,  20, 194, 200, 137, 502, 415, 205], dtype=int32), array([567, 232,   2, 284, 200,  13, 193,  73, 351,  40,  77, 561,  13,\n",
      "       459, 234, 128, 201, 564, 156, 570, 221, 359, 353, 492], dtype=int32), array([232, 542,  13, 193, 208, 379, 502, 285,  41, 480, 140,  19,   8,\n",
      "       384, 358, 496], dtype=int32), array([554, 194,  50,  66, 463,  20, 208, 351, 502, 128], dtype=int32), array([554,   3, 481,  99, 194, 208, 332, 569, 502, 307], dtype=int32), array([232, 542, 502, 196, 137, 502, 379], dtype=int32), array([232, 565, 273, 502, 196, 208, 379, 502,  64], dtype=int32), array([143, 379,  29], dtype=int32), array([383, 276,  32,  66, 194, 208, 351,  88, 502, 376, 358, 546], dtype=int32), array([177, 481, 405,  45,   9], dtype=int32), array([439, 301, 481, 288, 386, 208, 128, 502,  69], dtype=int32), array([554, 157, 175, 453, 200], dtype=int32), array([232, 542, 502, 196, 208,  77, 502, 415, 205], dtype=int32), array([439, 301, 481, 194, 208,  69, 502, 376], dtype=int32), array([554,  50, 481, 267, 176, 194, 208, 137, 502,  64], dtype=int32), array([439, 301, 194, 208,  77, 502, 415, 205], dtype=int32), array([232, 559, 331,  13,  93,  62, 332, 569], dtype=int32), array([439, 301, 481, 194, 208,  69, 502, 423], dtype=int32), array([439, 301, 481, 194, 270, 208, 287, 186], dtype=int32), array([554, 241, 481, 165, 193, 570, 221, 270,  77, 222, 502, 376], dtype=int32), array([232, 565, 273, 502, 196, 208,  77, 502,  69, 383, 473, 301, 554,\n",
      "        50, 481, 501, 353, 481, 194], dtype=int32), array([194,  40, 183, 208, 137, 502, 351], dtype=int32), array([439, 301,  32, 194, 208, 379, 502,  69, 557, 268, 496,  19,   8,\n",
      "       350, 384], dtype=int32), array([ 89, 570, 212, 301, 481, 174, 193, 358, 546, 208, 543, 502,  64,  21], dtype=int32), array([554, 241, 481, 444,  23,  66, 502, 196, 358, 208, 379, 502,  69], dtype=int32), array([554, 194, 213, 208, 415, 205, 502,  77,  40, 268,  19,   8, 350], dtype=int32), array([439, 301, 481, 194, 208,  77, 502,  64], dtype=int32), array([554,  50, 481, 321, 194, 208, 376, 502, 128, 215, 358,  37,  26], dtype=int32), array([276, 127, 194, 208,  77, 502, 351, 536, 530,  26], dtype=int32), array([156, 570, 221,  13, 193, 208,  64, 502,  97, 343,  94, 334, 317], dtype=int32), array([383, 189,  13, 193, 358, 136, 208, 376, 502, 415, 205,  40, 212,\n",
      "       301, 481, 193, 348], dtype=int32), array([232, 331,  13, 193, 208, 376, 502, 128], dtype=int32), array([232, 565, 273, 502, 196, 208,  64, 502, 376], dtype=int32), array([439, 301, 410, 515, 183, 208, 332, 569, 502, 307], dtype=int32), array([276, 481, 339, 194, 358, 546, 249, 424, 208, 307, 502, 543,  60,\n",
      "       234, 543,  73,  11,  35,  40,  11, 384], dtype=int32), array([439, 301, 481, 194, 334, 518,  73, 376,  40, 415, 205], dtype=int32), array([439, 301,  32, 481, 530,  26, 194, 270, 128], dtype=int32), array([439, 301, 321, 194, 208, 506], dtype=int32)]\n"
     ]
    }
   ],
   "source": [
    "print (train_lex)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[['what',\n",
       "  'aircraft',\n",
       "  'is',\n",
       "  'used',\n",
       "  'on',\n",
       "  'delta',\n",
       "  'flight',\n",
       "  'DIGITDIGITDIGITDIGIT',\n",
       "  'from',\n",
       "  'kansas',\n",
       "  'city',\n",
       "  'to',\n",
       "  'salt',\n",
       "  'lake',\n",
       "  'city'],\n",
       " ['i', 'want', 'to', 'go', 'from', 'boston', 'to', 'atlanta', 'on', 'monday'],\n",
       " ['i',\n",
       "  'need',\n",
       "  'a',\n",
       "  'flight',\n",
       "  'from',\n",
       "  'atlanta',\n",
       "  'to',\n",
       "  'philadelphia',\n",
       "  'and',\n",
       "  'i',\n",
       "  \"'m\",\n",
       "  'looking',\n",
       "  'for',\n",
       "  'the',\n",
       "  'cheapest',\n",
       "  'fare'],\n",
       " ['i',\n",
       "  'need',\n",
       "  'a',\n",
       "  'flight',\n",
       "  'from',\n",
       "  'toronto',\n",
       "  'to',\n",
       "  'montreal',\n",
       "  'reaching',\n",
       "  'montreal',\n",
       "  'early',\n",
       "  'on',\n",
       "  'friday'],\n",
       " ['show',\n",
       "  'me',\n",
       "  'the',\n",
       "  'evening',\n",
       "  'flights',\n",
       "  'from',\n",
       "  'philadelphia',\n",
       "  'to',\n",
       "  'baltimore'],\n",
       " ['tell', 'me', 'distance', 'from', 'orlando', 'airport', 'to', 'the', 'city'],\n",
       " ['what', 'is', 'restriction', 'ap80'],\n",
       " ['what',\n",
       "  'is',\n",
       "  'the',\n",
       "  'lowest',\n",
       "  'cost',\n",
       "  'fare',\n",
       "  'that',\n",
       "  'delta',\n",
       "  'has',\n",
       "  'between',\n",
       "  'boston',\n",
       "  'and',\n",
       "  'san',\n",
       "  'francisco'],\n",
       " ['flight', 'DIGITDIGITDIGIT', 'from', 'cincinnati', 'to', 'dallas'],\n",
       " ['now',\n",
       "  'i',\n",
       "  'need',\n",
       "  'a',\n",
       "  'one',\n",
       "  'way',\n",
       "  'flight',\n",
       "  'from',\n",
       "  'pittsburgh',\n",
       "  'to',\n",
       "  'denver'],\n",
       " ['display',\n",
       "  'all',\n",
       "  'flights',\n",
       "  'leaving',\n",
       "  'from',\n",
       "  'toronto',\n",
       "  'to',\n",
       "  'san',\n",
       "  'diego',\n",
       "  'on',\n",
       "  'us',\n",
       "  'air',\n",
       "  '<UNK>',\n",
       "  'over',\n",
       "  'in',\n",
       "  'washington',\n",
       "  'dc'],\n",
       " ['list',\n",
       "  'all',\n",
       "  'nonstop',\n",
       "  'flights',\n",
       "  'on',\n",
       "  'tuesday',\n",
       "  'before',\n",
       "  'noon',\n",
       "  'from',\n",
       "  'charlotte',\n",
       "  'to',\n",
       "  'baltimore'],\n",
       " ['show',\n",
       "  'me',\n",
       "  'the',\n",
       "  'lowest',\n",
       "  '<UNK>',\n",
       "  'fare',\n",
       "  'from',\n",
       "  'dallas',\n",
       "  'to',\n",
       "  'baltimore'],\n",
       " ['what',\n",
       "  'is',\n",
       "  'the',\n",
       "  'cheapest',\n",
       "  'coach',\n",
       "  'flight',\n",
       "  'between',\n",
       "  'dallas',\n",
       "  'and',\n",
       "  'baltimore',\n",
       "  'leaving',\n",
       "  'august',\n",
       "  'tenth'],\n",
       " ['does', 'midwest', 'express', 'serve', 'philadelphia'],\n",
       " ['what',\n",
       "  'flights',\n",
       "  'on',\n",
       "  'united',\n",
       "  'leave',\n",
       "  'la',\n",
       "  'guardia',\n",
       "  'for',\n",
       "  'san',\n",
       "  'jose',\n",
       "  'and',\n",
       "  'arrive',\n",
       "  'around',\n",
       "  'DIGITDIGIT',\n",
       "  'pm'],\n",
       " ['list',\n",
       "  'the',\n",
       "  'nonstop',\n",
       "  'flights',\n",
       "  'from',\n",
       "  'denver',\n",
       "  'to',\n",
       "  'washington',\n",
       "  'dc'],\n",
       " ['how',\n",
       "  'much',\n",
       "  'does',\n",
       "  'flight',\n",
       "  'ua',\n",
       "  'DIGITDIGITDIGIT',\n",
       "  'from',\n",
       "  'denver',\n",
       "  'to',\n",
       "  'san',\n",
       "  'francisco',\n",
       "  'cost'],\n",
       " ['what',\n",
       "  'kind',\n",
       "  'of',\n",
       "  'ground',\n",
       "  'transportation',\n",
       "  'is',\n",
       "  'available',\n",
       "  'in',\n",
       "  'las',\n",
       "  'vegas'],\n",
       " ['what',\n",
       "  'are',\n",
       "  'the',\n",
       "  'nonstop',\n",
       "  'flights',\n",
       "  'from',\n",
       "  'kansas',\n",
       "  'city',\n",
       "  'to',\n",
       "  'burbank',\n",
       "  'arriving',\n",
       "  'on',\n",
       "  'saturday',\n",
       "  'may',\n",
       "  'twenty',\n",
       "  'two'],\n",
       " ['list',\n",
       "  'the',\n",
       "  'morning',\n",
       "  'flights',\n",
       "  'at',\n",
       "  'a',\n",
       "  'DIGITDIGITDIGIT',\n",
       "  'dollars',\n",
       "  'from',\n",
       "  'atlanta',\n",
       "  'to',\n",
       "  'boston'],\n",
       " ['what',\n",
       "  'is',\n",
       "  'the',\n",
       "  'fare',\n",
       "  'going',\n",
       "  'from',\n",
       "  'atlanta',\n",
       "  'to',\n",
       "  'boston',\n",
       "  'one',\n",
       "  'way',\n",
       "  'on',\n",
       "  'november',\n",
       "  'seventh'],\n",
       " ['is',\n",
       "  'there',\n",
       "  'a',\n",
       "  'flight',\n",
       "  'from',\n",
       "  'atlanta',\n",
       "  'to',\n",
       "  'san',\n",
       "  'francisco',\n",
       "  'that',\n",
       "  'stops',\n",
       "  'over',\n",
       "  'in',\n",
       "  'denver'],\n",
       " ['find',\n",
       "  'travel',\n",
       "  'arrangements',\n",
       "  'for',\n",
       "  'a',\n",
       "  'round',\n",
       "  'trip',\n",
       "  'flight',\n",
       "  'from',\n",
       "  'baltimore',\n",
       "  'to',\n",
       "  'pittsburgh',\n",
       "  'after',\n",
       "  'DIGIT',\n",
       "  \"o'clock\",\n",
       "  'pm',\n",
       "  'before',\n",
       "  'DIGITDIGIT',\n",
       "  \"o'clock\",\n",
       "  'pm'],\n",
       " ['can',\n",
       "  'i',\n",
       "  'have',\n",
       "  'a',\n",
       "  'list',\n",
       "  'of',\n",
       "  'all',\n",
       "  'the',\n",
       "  'thursday',\n",
       "  'flights',\n",
       "  'from',\n",
       "  'baltimore',\n",
       "  'to',\n",
       "  'atlanta',\n",
       "  'that',\n",
       "  'leave',\n",
       "  'after',\n",
       "  'DIGIT',\n",
       "  'pm'],\n",
       " ['what',\n",
       "  'flights',\n",
       "  'do',\n",
       "  'you',\n",
       "  'have',\n",
       "  'in',\n",
       "  'the',\n",
       "  'morning',\n",
       "  'of',\n",
       "  'september',\n",
       "  'twentieth',\n",
       "  'on',\n",
       "  'united',\n",
       "  'airlines',\n",
       "  'from',\n",
       "  'pittsburgh',\n",
       "  'to',\n",
       "  'san',\n",
       "  'francisco',\n",
       "  'and',\n",
       "  'a',\n",
       "  'stopover',\n",
       "  'in',\n",
       "  'denver'],\n",
       " ['i',\n",
       "  'need',\n",
       "  'a',\n",
       "  'flight',\n",
       "  'from',\n",
       "  'boston',\n",
       "  'to',\n",
       "  'pittsburgh',\n",
       "  'that',\n",
       "  'leaves',\n",
       "  'early',\n",
       "  'in',\n",
       "  'the',\n",
       "  'morning'],\n",
       " ['round', 'trip', 'houston', 'to', 'las', 'vegas', 'nonstop'],\n",
       " ['flight', 'information', 'from', 'san', 'francisco', 'to', 'pittsburgh'],\n",
       " ['give',\n",
       "  'me',\n",
       "  'flights',\n",
       "  'without',\n",
       "  'fares',\n",
       "  'from',\n",
       "  'atlanta',\n",
       "  'to',\n",
       "  'baltimore'],\n",
       " ['on',\n",
       "  'monday',\n",
       "  'i',\n",
       "  'would',\n",
       "  'like',\n",
       "  'to',\n",
       "  'travel',\n",
       "  'from',\n",
       "  'charlotte',\n",
       "  'north',\n",
       "  'carolina',\n",
       "  'to',\n",
       "  'phoenix',\n",
       "  'arizona',\n",
       "  'i',\n",
       "  'would',\n",
       "  'like',\n",
       "  'to',\n",
       "  'arrive',\n",
       "  'in',\n",
       "  'phoenix',\n",
       "  'before',\n",
       "  'DIGIT',\n",
       "  'pm'],\n",
       " ['i',\n",
       "  'would',\n",
       "  'like',\n",
       "  'to',\n",
       "  'find',\n",
       "  'flights',\n",
       "  'from',\n",
       "  'columbus',\n",
       "  'to',\n",
       "  'minneapolis',\n",
       "  'on',\n",
       "  'monday',\n",
       "  'june',\n",
       "  'fourteenth',\n",
       "  'early',\n",
       "  'in',\n",
       "  'the',\n",
       "  'morning',\n",
       "  'or',\n",
       "  'in',\n",
       "  'the',\n",
       "  'evening',\n",
       "  'sunday',\n",
       "  'june',\n",
       "  'thirteenth',\n",
       "  'thank',\n",
       "  'you'],\n",
       " ['what', 'is', 'airline', 'ff'],\n",
       " ['give', 'me', 'flights', 'from', 'pittsburgh', 'to', 'baltimore'],\n",
       " ['show',\n",
       "  'me',\n",
       "  'the',\n",
       "  'flights',\n",
       "  'from',\n",
       "  'denver',\n",
       "  'to',\n",
       "  'atlanta',\n",
       "  'on',\n",
       "  'friday'],\n",
       " ['airline', 'that', 'stands', 'for', 'dl'],\n",
       " ['show',\n",
       "  'me',\n",
       "  'flights',\n",
       "  'from',\n",
       "  'dallas',\n",
       "  'to',\n",
       "  'houston',\n",
       "  'and',\n",
       "  'from',\n",
       "  'houston',\n",
       "  'to',\n",
       "  'dallas'],\n",
       " ['how',\n",
       "  'many',\n",
       "  'first',\n",
       "  'class',\n",
       "  'flights',\n",
       "  'does',\n",
       "  'delta',\n",
       "  'have',\n",
       "  'today'],\n",
       " ['how',\n",
       "  'many',\n",
       "  'first',\n",
       "  'class',\n",
       "  'flights',\n",
       "  'does',\n",
       "  'united',\n",
       "  'have',\n",
       "  'leaving',\n",
       "  'from',\n",
       "  'all',\n",
       "  'cities',\n",
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       "  'airport',\n",
       "  'to',\n",
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       "  'philadelphia'],\n",
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       "  'to',\n",
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       "  'airlines'],\n",
       " ['what', 'are', 'your', 'flights', 'from', 'denver', 'to', 'baltimore'],\n",
       " ['are', 'there', 'delta', 'flights', 'leaving', 'atlanta'],\n",
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       " ['on',\n",
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       "  'philadelphia',\n",
       "  'to',\n",
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       "  'to',\n",
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       " ['what',\n",
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       " ['what',\n",
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       "  'francisco',\n",
       "  'on',\n",
       "  'thursday'],\n",
       " ['please',\n",
       "  'list',\n",
       "  'nonstop',\n",
       "  'twa',\n",
       "  'flights',\n",
       "  'from',\n",
       "  'las',\n",
       "  'vegas',\n",
       "  'to',\n",
       "  'new',\n",
       "  'york'],\n",
       " ['show',\n",
       "  'all',\n",
       "  'flights',\n",
       "  'on',\n",
       "  'lufthansa',\n",
       "  'airlines',\n",
       "  'out',\n",
       "  'of',\n",
       "  'boston'],\n",
       " ['show', 'me', 'about', 'the', 'ground', 'transportation', 'in', 'boston'],\n",
       " ['show', 'me', 'the', 'flights', 'from', 'boston', 'to', 'dallas'],\n",
       " ['what',\n",
       "  'transportation',\n",
       "  'is',\n",
       "  'available',\n",
       "  'from',\n",
       "  'the',\n",
       "  'dallas',\n",
       "  'airport',\n",
       "  'to',\n",
       "  'downtown'],\n",
       " ['please',\n",
       "  'list',\n",
       "  'the',\n",
       "  'flight',\n",
       "  'times',\n",
       "  'from',\n",
       "  'pittsburgh',\n",
       "  'to',\n",
       "  'newark'],\n",
       " ['show',\n",
       "  'me',\n",
       "  'round',\n",
       "  'trip',\n",
       "  'first',\n",
       "  'class',\n",
       "  'tickets',\n",
       "  'from',\n",
       "  'new',\n",
       "  'york',\n",
       "  'to',\n",
       "  'miami'],\n",
       " ['are',\n",
       "  'they',\n",
       "  'all',\n",
       "  'nonstop',\n",
       "  'flights',\n",
       "  'from',\n",
       "  'kansas',\n",
       "  'city',\n",
       "  'to',\n",
       "  'st.',\n",
       "  'paul'],\n",
       " ['flights', 'from', 'kansas', 'city', 'to', 'cleveland', 'on', 'wednesday'],\n",
       " ['what', 'does', 'fare', 'code', 'qo', 'mean'],\n",
       " ['i',\n",
       "  'am',\n",
       "  'interested',\n",
       "  'in',\n",
       "  'booking',\n",
       "  'an',\n",
       "  'early',\n",
       "  'morning',\n",
       "  'flight',\n",
       "  'from',\n",
       "  'dallas',\n",
       "  'into',\n",
       "  'houston',\n",
       "  'and',\n",
       "  'returning',\n",
       "  'in',\n",
       "  'the',\n",
       "  'late',\n",
       "  'evening'],\n",
       " ['list',\n",
       "  'all',\n",
       "  '<UNK>',\n",
       "  '<UNK>',\n",
       "  'airline',\n",
       "  'flights',\n",
       "  'from',\n",
       "  'indianapolis',\n",
       "  'to',\n",
       "  'houston',\n",
       "  'that',\n",
       "  'arrive',\n",
       "  'in',\n",
       "  'houston',\n",
       "  'between',\n",
       "  'DIGITDIGITDIGITDIGIT',\n",
       "  'am',\n",
       "  'and',\n",
       "  'DIGITDIGITDIGITDIGIT',\n",
       "  'am'],\n",
       " ['list',\n",
       "  'flights',\n",
       "  'from',\n",
       "  'atlanta',\n",
       "  'to',\n",
       "  'boston',\n",
       "  'on',\n",
       "  'wednesday',\n",
       "  'afternoon'],\n",
       " ['i',\n",
       "  \"'d\",\n",
       "  'like',\n",
       "  'to',\n",
       "  'see',\n",
       "  'all',\n",
       "  'the',\n",
       "  'economy',\n",
       "  'fares',\n",
       "  'from',\n",
       "  'baltimore',\n",
       "  'to',\n",
       "  'philadelphia'],\n",
       " ['i',\n",
       "  'need',\n",
       "  'a',\n",
       "  'reservation',\n",
       "  'from',\n",
       "  'baltimore',\n",
       "  'to',\n",
       "  'san',\n",
       "  'francisco'],\n",
       " ['show',\n",
       "  'me',\n",
       "  'us',\n",
       "  'air',\n",
       "  'flights',\n",
       "  'from',\n",
       "  'san',\n",
       "  'francisco',\n",
       "  'to',\n",
       "  'pittsburgh',\n",
       "  'on',\n",
       "  'tuesday'],\n",
       " ['i',\n",
       "  \"'d\",\n",
       "  'like',\n",
       "  'the',\n",
       "  'cheapest',\n",
       "  'cost',\n",
       "  'fare',\n",
       "  'to',\n",
       "  'fort',\n",
       "  'worth',\n",
       "  'from',\n",
       "  'boston'],\n",
       " ['what',\n",
       "  'is',\n",
       "  'the',\n",
       "  'earliest',\n",
       "  'flight',\n",
       "  'from',\n",
       "  'tampa',\n",
       "  'to',\n",
       "  'milwaukee',\n",
       "  'tomorrow'],\n",
       " ['how',\n",
       "  'much',\n",
       "  'is',\n",
       "  'the',\n",
       "  'cheapest',\n",
       "  'flight',\n",
       "  'from',\n",
       "  'denver',\n",
       "  'to',\n",
       "  'pittsburgh'],\n",
       " ['show', 'me', 'the', 'flights', 'from', 'dallas', 'to', 'san', 'francisco'],\n",
       " ['tell',\n",
       "  'me',\n",
       "  'about',\n",
       "  'flights',\n",
       "  'leaving',\n",
       "  'from',\n",
       "  'atlanta',\n",
       "  'and',\n",
       "  'going',\n",
       "  'to',\n",
       "  'charlotte',\n",
       "  'north',\n",
       "  'carolina',\n",
       "  'next',\n",
       "  'monday',\n",
       "  'i',\n",
       "  'need',\n",
       "  'to',\n",
       "  'know',\n",
       "  'about',\n",
       "  'flights',\n",
       "  'that',\n",
       "  'arrive',\n",
       "  'in',\n",
       "  'charlotte',\n",
       "  'between',\n",
       "  'DIGITDIGITDIGIT',\n",
       "  'and',\n",
       "  'DIGITDIGITDIGIT',\n",
       "  'pm'],\n",
       " ['i',\n",
       "  'am',\n",
       "  'interested',\n",
       "  'in',\n",
       "  'booking',\n",
       "  'an',\n",
       "  'early',\n",
       "  'morning',\n",
       "  'flight',\n",
       "  'from',\n",
       "  'dallas',\n",
       "  'into',\n",
       "  'houston',\n",
       "  'on',\n",
       "  'february',\n",
       "  'twenty',\n",
       "  'second',\n",
       "  'and',\n",
       "  'returning',\n",
       "  'late',\n",
       "  'in',\n",
       "  'the',\n",
       "  'evening',\n",
       "  'of',\n",
       "  'february',\n",
       "  'twenty',\n",
       "  'second'],\n",
       " ['i',\n",
       "  'want',\n",
       "  'to',\n",
       "  'travel',\n",
       "  'from',\n",
       "  'kansas',\n",
       "  'city',\n",
       "  'to',\n",
       "  'chicago',\n",
       "  'round',\n",
       "  'trip',\n",
       "  'leaving',\n",
       "  'wednesday',\n",
       "  'june',\n",
       "  'sixteenth',\n",
       "  'arriving',\n",
       "  'in',\n",
       "  'chicago',\n",
       "  'at',\n",
       "  'around',\n",
       "  'DIGIT',\n",
       "  \"o'clock\",\n",
       "  'in',\n",
       "  'the',\n",
       "  'evening',\n",
       "  'and',\n",
       "  'returning',\n",
       "  'the',\n",
       "  'next',\n",
       "  'day',\n",
       "  'arriving',\n",
       "  'in',\n",
       "  'kansas',\n",
       "  'city',\n",
       "  'at',\n",
       "  'around',\n",
       "  'DIGIT',\n",
       "  \"o'clock\",\n",
       "  'in',\n",
       "  'the',\n",
       "  'evening',\n",
       "  'which',\n",
       "  'airlines',\n",
       "  'fly',\n",
       "  'that',\n",
       "  '<UNK>'],\n",
       " ['show',\n",
       "  'me',\n",
       "  'all',\n",
       "  'flights',\n",
       "  'to',\n",
       "  'dallas',\n",
       "  'from',\n",
       "  'san',\n",
       "  'francisco',\n",
       "  'atlanta',\n",
       "  'and',\n",
       "  'pittsburgh'],\n",
       " ['flight', 'information', 'from', 'pittsburgh', 'to', 'denver'],\n",
       " ['how', 'far', 'is', 'the', 'airport', 'from', 'downtown', 'pittsburgh'],\n",
       " ['flights',\n",
       "  'from',\n",
       "  'pittsburgh',\n",
       "  'to',\n",
       "  'baltimore',\n",
       "  'arriving',\n",
       "  'between',\n",
       "  'DIGIT',\n",
       "  'and',\n",
       "  'DIGIT',\n",
       "  'pm'],\n",
       " ['show',\n",
       "  'me',\n",
       "  'all',\n",
       "  'flights',\n",
       "  'from',\n",
       "  'philadelphia',\n",
       "  'to',\n",
       "  'dallas',\n",
       "  'which',\n",
       "  'arrive',\n",
       "  'in',\n",
       "  'dallas',\n",
       "  'before',\n",
       "  'DIGIT',\n",
       "  \"o'clock\",\n",
       "  'pm',\n",
       "  'on',\n",
       "  'saturday'],\n",
       " ['can',\n",
       "  'you',\n",
       "  'list',\n",
       "  'all',\n",
       "  'flights',\n",
       "  'from',\n",
       "  'toronto',\n",
       "  'to',\n",
       "  'san',\n",
       "  'diego'],\n",
       " ['what',\n",
       "  'is',\n",
       "  'the',\n",
       "  'first',\n",
       "  'flight',\n",
       "  'after',\n",
       "  'DIGITDIGIT',\n",
       "  'noon',\n",
       "  'from',\n",
       "  'washington',\n",
       "  'for',\n",
       "  'denver'],\n",
       " ['i',\n",
       "  \"'d\",\n",
       "  'like',\n",
       "  'to',\n",
       "  'fly',\n",
       "  'from',\n",
       "  'boston',\n",
       "  'to',\n",
       "  'san',\n",
       "  'francisco',\n",
       "  'could',\n",
       "  'you',\n",
       "  'find',\n",
       "  'me',\n",
       "  'the',\n",
       "  'cheapest',\n",
       "  'fare'],\n",
       " ['may', 'i', 'fly', 'from', 'san', 'francisco', 'to', 'baltimore'],\n",
       " ['what',\n",
       "  'is',\n",
       "  'the',\n",
       "  'first',\n",
       "  'flight',\n",
       "  'from',\n",
       "  'boston',\n",
       "  'to',\n",
       "  'san',\n",
       "  'francisco',\n",
       "  'on',\n",
       "  'saturday'],\n",
       " ['i',\n",
       "  'would',\n",
       "  'like',\n",
       "  'an',\n",
       "  'early',\n",
       "  'morning',\n",
       "  'flight',\n",
       "  'from',\n",
       "  'chicago',\n",
       "  'into',\n",
       "  'seattle',\n",
       "  'on',\n",
       "  'continental',\n",
       "  'airlines']]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "words_valid"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# How does the data look like?\n",
    "In order to represent sentences and to make them machine understandable, data has to be processed. At first a dictionary is built. Within the dictionary each word is associated with an index. Given the dictionary and a sentence, a normal textural sentence is converted an array of indices."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([554, 194, 268,  64,  62,  16,   8, 234, 481,  20,  40,  58, 234,\n",
       "       415, 205], dtype=int32)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The first sentence in the training data set\n",
    "train_lex[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[554 194 268  64  62  16   8 234 481  20  40  58 234 415 205]\n"
     ]
    }
   ],
   "source": [
    "# The first sentence in the training data set\n",
    "example_sentence = train_lex[0]\n",
    "print(example_sentence)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "what flights leave atlanta at about DIGIT in the afternoon and arrive in san francisco\n"
     ]
    }
   ],
   "source": [
    "print(arraysentence2string(example_sentence))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[126 126 126  48 126  36  35 126 126  33 126 126 126  78 123]\n"
     ]
    }
   ],
   "source": [
    "# The first label in the training data set\n",
    "example_labels = train_y[0]\n",
    "print(example_labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "O O O B-fromloc.city_name O B-depart_time.time_relative B-depart_time.time O O B-depart_time.period_of_day O O O B-toloc.city_name I-toloc.city_name\n"
     ]
    }
   ],
   "source": [
    "print(arraylabels2string(example_labels))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Context window\n",
    "Words in itself can be ambigious, therefore it is useful to consider them in their context. As an example the word 'Paris' could relate to the actress 'Paris Hilton' or the city of Paris. Therefore each word is normally considered within its context. That is we look what comes before and after the word we are interested. Special cases are the beginning and the end of a sentence. In that case we use padding (-1) to highlight this."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-1, -1, 554, 194, 268]\n",
      "what flights leave\n",
      "\n",
      "[-1, 554, 194, 268, 64]\n",
      "what flights leave atlanta\n",
      "\n",
      "[554, 194, 268, 64, 62]\n",
      "what flights leave atlanta at\n",
      "\n",
      "[194, 268, 64, 62, 16]\n",
      "flights leave atlanta at about\n",
      "\n",
      "[268, 64, 62, 16, 8]\n",
      "leave atlanta at about DIGIT\n",
      "\n",
      "[64, 62, 16, 8, 234]\n",
      "atlanta at about DIGIT in\n",
      "\n",
      "[62, 16, 8, 234, 481]\n",
      "at about DIGIT in the\n",
      "\n",
      "[16, 8, 234, 481, 20]\n",
      "about DIGIT in the afternoon\n",
      "\n",
      "[8, 234, 481, 20, 40]\n",
      "DIGIT in the afternoon and\n",
      "\n",
      "[234, 481, 20, 40, 58]\n",
      "in the afternoon and arrive\n",
      "\n",
      "[481, 20, 40, 58, 234]\n",
      "the afternoon and arrive in\n",
      "\n",
      "[20, 40, 58, 234, 415]\n",
      "afternoon and arrive in san\n",
      "\n",
      "[40, 58, 234, 415, 205]\n",
      "and arrive in san francisco\n",
      "\n",
      "[58, 234, 415, 205, -1]\n",
      "arrive in san francisco\n",
      "\n",
      "[234, 415, 205, -1, -1]\n",
      "in san francisco\n",
      "\n"
     ]
    }
   ],
   "source": [
    "win_size = 5 \n",
    "csample = contextwin(example_sentence, win_size)\n",
    "\n",
    "for x in csample:\n",
    "        print(x)\n",
    "        print(arraysentence2string(x)+'\\n')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.neighbors import NearestNeighbors\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Now let's define a RNN\n",
    "class RNNSLU(object):\n",
    "    ''' elman neural net model '''\n",
    "    def __init__(self, nh, nc, ne, de, cs):\n",
    "        '''\n",
    "        nh :: dimension of the hidden layer\n",
    "        nc :: number of classes\n",
    "        ne :: number of word embeddings in the vocabulary / size of vocabulary\n",
    "        de :: dimension of the word embeddings\n",
    "        cs :: word window context size\n",
    "        '''\n",
    "        \n",
    "        # parameters of the model\n",
    "        self.emb = theano.shared(name='embeddings',\n",
    "                                 value=0.2 * numpy.random.uniform(-1.0, 1.0,\n",
    "                                 (ne+1, de))\n",
    "                                 # add one for padding at the end\n",
    "                                 .astype(theano.config.floatX))\n",
    "        self.wx = theano.shared(name='wx',\n",
    "                                value=0.2 * numpy.random.uniform(-1.0, 1.0,\n",
    "                                (de * cs, nh))\n",
    "                                .astype(theano.config.floatX))\n",
    "        self.wh = theano.shared(name='wh',\n",
    "                                value=0.2 * numpy.random.uniform(-1.0, 1.0,\n",
    "                                (nh, nh))\n",
    "                                .astype(theano.config.floatX))\n",
    "        self.w = theano.shared(name='w',\n",
    "                               value=0.2 * numpy.random.uniform(-1.0, 1.0,\n",
    "                               (nh, nc))\n",
    "                               .astype(theano.config.floatX))\n",
    "        self.bh = theano.shared(name='bh',\n",
    "                                value=numpy.zeros(nh,\n",
    "                                dtype=theano.config.floatX))\n",
    "        self.b = theano.shared(name='b',\n",
    "                               value=numpy.zeros(nc,\n",
    "                               dtype=theano.config.floatX))\n",
    "        self.h0 = theano.shared(name='h0',\n",
    "                                value=numpy.zeros(nh,\n",
    "                                dtype=theano.config.floatX))\n",
    "        \n",
    "        \n",
    "\n",
    "        # bundle the parameters together, nice for gradient computation\n",
    "        self.params = [self.emb, self.wx, self.wh, self.w,\n",
    "                       self.bh, self.b, self.h0]\n",
    "        \n",
    "        # we perform training on a complete sentence, which is broken down into context window elements\n",
    "        \n",
    "        # input is a matrix full of indices:\n",
    "        # as many columns as context window size\n",
    "        # as many lines as words in the sentence (each word is presented within context window)\n",
    "        idxs = T.imatrix()\n",
    "        \n",
    "        # map the input to the embedding space\n",
    "        x = self.emb[idxs].reshape((idxs.shape[0], de*cs))\n",
    "        \n",
    "        # labels for the words in the stenence\n",
    "        y_sentence = T.ivector('y_sentence')\n",
    "        \n",
    "        \n",
    "        # basic Elmann recurrent networks\n",
    "        \n",
    "        def recurrence(x_t, h_tm1):\n",
    "            \n",
    "            # hidden state\n",
    "            h_t = T.nnet.sigmoid(T.dot(x_t, self.wx)\n",
    "                                 + T.dot(h_tm1, self.wh) + self.bh)\n",
    "            \n",
    "            # output\n",
    "            s_t = T.nnet.softmax(T.dot(h_t, self.w) + self.b)\n",
    "            \n",
    "            return [h_t, s_t]\n",
    "\n",
    "        # looping over the words in the sentence\n",
    "        [h, s], _ = theano.scan(fn=recurrence, #first argument is the time sliced input\n",
    "                                # input\n",
    "                                sequences=x,\n",
    "                                # initial value, must have the same dimension as output [h_t, s_t]\n",
    "                                outputs_info=[self.h0, None],\n",
    "                                # number of steps in the loop (corresponds to words in the sentence)\n",
    "                                n_steps=x.shape[0])\n",
    "\n",
    "        # output of the RNN is softmax result (probabilities)\n",
    "        p_y_given_x_sentence = s[:, 0, :]\n",
    "        \n",
    "        # for each word return the class with maximum probability\n",
    "        y_pred = T.argmax(p_y_given_x_sentence, axis=1)\n",
    "        \n",
    "\n",
    "        # cost and gradients and learning rate\n",
    "        lr = T.scalar('lr')\n",
    "\n",
    "        # cost function is the negative log-likelihood (NLL)\n",
    "        \n",
    "        \n",
    "        # x.shape[0] is (symbolically) the number of rows in x, i.e.,\n",
    "        # number of words in the sentence (call it n) in the minibatch\n",
    "        # T.arange(x.shape[0]) is a symbolic vector which will contain\n",
    "        # [0,1,2,... n-1] T.log(self.p_y_given_x_sentence) is a matrix of\n",
    "        # Log-Probabilities (call it LP) with one row per word and\n",
    "        # one column per class LP[T.arange(x.shape[0]),y_sentence] is a vector\n",
    "        # v containing [LP[0,y_sentence[0]], LP[1,y_sentence[1]], LP[2,y_sentence[2]], ...,\n",
    "        # LP[n-1,y_sentence[n-1]]] and T.mean(LP[T.arange(x.shape[0]),y_sentence]) is\n",
    "        # the mean (across minibatch examples) of the elements in v,\n",
    "        # i.e., the mean log-likelihood across the minibatch.\n",
    "        \n",
    "        sentence_nll = -T.mean(T.log(p_y_given_x_sentence)\n",
    "                               [T.arange(x.shape[0]), y_sentence])\n",
    "        \n",
    "        # now let theano do the ugly work and compute the SYMBOLIC gradients\n",
    "        sentence_gradients = T.grad(sentence_nll, self.params)\n",
    "        \n",
    "        # the updates is an ordered dicitionary, where each pair is a parameter and how it is updated (gradient descent)\n",
    "        sentence_updates = OrderedDict((p, p - lr*g)\n",
    "                                       for p, g in\n",
    "                                       zip(self.params, sentence_gradients))\n",
    "    \n",
    "\n",
    "        # theano functions to compile\n",
    "        \n",
    "        # classification function: \n",
    "        # INPUT: sentence (put in context windows)\n",
    "        # RETURN: vector (class for each word)\n",
    "        self.classify = theano.function(inputs=[idxs], outputs=y_pred)\n",
    "        \n",
    "        # training function:\n",
    "        # INPUT: sentence (put in context windows), class labels for each word (vector), and a learning rate\n",
    "        # RETURN: cost (negative log likelihood)\n",
    "        self.sentence_train = theano.function(inputs=[idxs, y_sentence, lr],\n",
    "                                              outputs=sentence_nll, \n",
    "                                              updates=sentence_updates)\n",
    "        \n",
    "        # normalization function (normalization of the embedding)\n",
    "        # update the embedding, such that it stays on the unit-ball (L2 norm equal to 1)\n",
    "        # dimshuffle(0, 'x') ->  make a column out of a 1d vector (N to Nx1)\n",
    "        self.normalize = theano.function(inputs=[],\n",
    "                                         updates={self.emb:\n",
    "                                                  self.emb /\n",
    "                                                  T.sqrt((self.emb**2)\n",
    "                                                  .sum(axis=1))\n",
    "                                                  .dimshuffle(0, 'x')})\n",
    "\n",
    "\n",
    "    def train(self, x, y, window_size, learning_rate):\n",
    "\n",
    "        cwords = contextwin(x, window_size)\n",
    "        #words = map(lambda x: numpy.asarray(x).astype('int32'), cwords)\n",
    "        words = cwords\n",
    "        labels = y\n",
    "        \n",
    "        #print(words,flush=True)\n",
    "\n",
    "        self.sentence_train(words, labels, learning_rate)\n",
    "        self.normalize()\n",
    "\n",
    "    def save(self, folder):\n",
    "        for param in self.params:\n",
    "            numpy.save(os.path.join(folder,\n",
    "                       param.name + '.npy'), param.get_value())\n",
    "\n",
    "    def load(self, folder):\n",
    "        for param in self.params:\n",
    "            param.set_value(numpy.load(os.path.join(folder,\n",
    "                            param.name + '.npy')))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# RNN (training) parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'emb_dimension': 3, 'win': 5, 'data': 'atis', 'fold': 3, 'nepochs': 30, 'nhidden': 50, 'savemodel': False, 'verbose': 1, 'seed': 345, 'decay': True, 'lr': 0.0970806646812754}\n"
     ]
    }
   ],
   "source": [
    "param = {\n",
    "    'fold': 3,\n",
    "    # 5 folds 0,1,2,3,4\n",
    "    'data': 'atis',\n",
    "    'lr': 0.0970806646812754,\n",
    "    'verbose': 1,\n",
    "    'decay': True,\n",
    "    # decay on the learning rate if improvement stops\n",
    "    'win': 5,\n",
    "    # number of words in the context window\n",
    "    'nhidden': 50,\n",
    "    # number of hidden units\n",
    "    'seed': 345,\n",
    "    'emb_dimension': 3,\n",
    "    # dimension of word embedding\n",
    "    'nepochs': 30,\n",
    "    # 60 is recommended\n",
    "    'savemodel': False}\n",
    "print(param)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "NEW BEST: epoch 0 valid F1 52.89 best test F1 47.69\n",
      "NEW BEST: epoch 1 valid F1 59.61 best test F1 55.28\n",
      "NEW BEST: epoch 2 valid F1 66.59 best test F1 64.78\n",
      "NEW BEST: epoch 3 valid F1 72.83 best test F1 71.87\n",
      "NEW BEST: epoch 4 valid F1 75.66 best test F1 74.15\n",
      "NEW BEST: epoch 5 valid F1 77.57 best test F1 75.58\n",
      "NEW BEST: epoch 6 valid F1 79.47 best test F1 77.34\n",
      "NEW BEST: epoch 7 valid F1 81.03 best test F1 78.19\n",
      "NEW BEST: epoch 8 valid F1 81.68 best test F1 78.99\n",
      "NEW BEST: epoch 9 valid F1 81.88 best test F1 80.74\n",
      "NEW BEST: epoch 10 valid F1 83.1 best test F1 80.83\n",
      "NEW BEST: epoch 11 valid F1 83.45 best test F1 80.76\n",
      "NEW BEST: epoch 12 valid F1 84.33 best test F1 82.4\n",
      "NEW BEST: epoch 13 valid F1 84.79 best test F1 82.87\n",
      "NEW BEST: epoch 14 valid F1 85.82 best test F1 83.43\n",
      "NEW BEST: epoch 15 valid F1 86.22 best test F1 83.84\n",
      "\n",
      "NEW BEST: epoch 17 valid F1 87.05 best test F1 84.99\n",
      "NEW BEST: epoch 18 valid F1 87.8 best test F1 85.77\n",
      "\n",
      "\n",
      "NEW BEST: epoch 21 valid F1 87.85 best test F1 86.22\n",
      "NEW BEST: epoch 22 valid F1 88.99 best test F1 87.3\n",
      "\n",
      "\n",
      "\n",
      "NEW BEST: epoch 26 valid F1 89.36 best test F1 87.41\n",
      "NEW BEST: epoch 27 valid F1 89.68 best test F1 87.15\n",
      "NEW BEST: epoch 28 valid F1 89.89 best test F1 87.54\n",
      "\n",
      "BEST RESULT: epoch 28 valid F1 89.89 best test F1 87.54 with the model /home/i311008/RNN\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib/python3.4/importlib/_bootstrap.py:321: RuntimeWarning: numpy.ndarray size changed, may indicate binary incompatibility\n",
      "  return f(*args, **kwds)\n"
     ]
    }
   ],
   "source": [
    "folder_name = \"RNN\"\n",
    "folder = os.path.join(PREFIX, folder_name)\n",
    "if not os.path.exists(folder):\n",
    "    os.mkdir(folder)\n",
    "\n",
    "\n",
    "\n",
    "# instanciate the model\n",
    "numpy.random.seed(param['seed'])\n",
    "random.seed(param['seed'])\n",
    "\n",
    "rnn = RNNSLU(nh=param['nhidden'],\n",
    "             nc=nclasses,\n",
    "             ne=vocsize,\n",
    "             de=param['emb_dimension'],\n",
    "             cs=param['win'])\n",
    "\n",
    "# train with early stopping on validation set\n",
    "best_f1 = -numpy.inf\n",
    "param['clr'] = param['lr']\n",
    "for e in range(param['nepochs']):\n",
    "\n",
    "    # shuffle\n",
    "    shuffle([train_lex, train_ne, train_y], param['seed'])\n",
    "\n",
    "    param['ce'] = e\n",
    "    tic = timeit.default_timer()\n",
    "\n",
    "    # for each sentence in the training compute gradient and update\n",
    "    for i, (x, y) in enumerate(zip(train_lex, train_y)):\n",
    "        rnn.train(x, y, param['win'], param['clr'])\n",
    "        #print ('[learning] epoch '+str(e)+' >> '+str(float(\"{0:.2f}\".format((i+1)* 100. / nsentences))))\n",
    "        #print ('completed in %.2f (sec) <<\\r' % (timeit.default_timer() - tic), file=sys.stdout, flush=True)\n",
    "       \n",
    "\n",
    "    # evaluation // back into the real world : idx -> words\n",
    "    predictions_test = [map(lambda x: idx2label[x],\n",
    "                        rnn.classify(numpy.asarray(\n",
    "                        contextwin(x, param['win'])).astype('int32')))\n",
    "                        for x in test_lex]\n",
    "    predictions_valid = [map(lambda x: idx2label[x],\n",
    "                         rnn.classify(numpy.asarray(\n",
    "                         contextwin(x, param['win'])).astype('int32')))\n",
    "                         for x in valid_lex]\n",
    "\n",
    "    # evaluation // compute the accuracy using conlleval.pl\n",
    "    res_test = conlleval(predictions_test,\n",
    "                         groundtruth_test,\n",
    "                         words_test,\n",
    "                         folder + '/current.test.txt')\n",
    "    res_valid = conlleval(predictions_valid,\n",
    "                          groundtruth_valid,\n",
    "                          words_valid,\n",
    "                          folder + '/current.valid.txt')\n",
    "\n",
    "    if res_valid['f1'] > best_f1:\n",
    "\n",
    "        if param['savemodel']:\n",
    "            rnn.save(folder)\n",
    "\n",
    "        best_rnn = copy.deepcopy(rnn)\n",
    "        best_f1 = res_valid['f1']\n",
    "\n",
    "        if param['verbose']:\n",
    "            print('NEW BEST: epoch', e,\n",
    "                  'valid F1', res_valid['f1'],\n",
    "                  'best test F1', res_test['f1'], flush=True)\n",
    "\n",
    "        param['vf1'], param['tf1'] = res_valid['f1'], res_test['f1']\n",
    "        param['vp'], param['tp'] = res_valid['p'], res_test['p']\n",
    "        param['vr'], param['tr'] = res_valid['r'], res_test['r']\n",
    "        param['be'] = e\n",
    "\n",
    "        subprocess.call(['mv', folder + '/current.test.txt',\n",
    "                        folder + '/best.test.txt'])\n",
    "        subprocess.call(['mv', folder + '/current.valid.txt',\n",
    "                        folder + '/best.valid.txt'])\n",
    "    else:\n",
    "        if param['verbose']:\n",
    "            print('')\n",
    "\n",
    "    # learning rate decay if no improvement in 10 epochs\n",
    "    if param['decay'] and abs(param['be']-param['ce']) >= 10:\n",
    "        param['clr'] *= 0.5\n",
    "        rnn = best_rnn\n",
    "\n",
    "    if param['clr'] < 1e-5:\n",
    "        break\n",
    "\n",
    "print('BEST RESULT: epoch', param['be'],\n",
    "      'valid F1', param['vf1'],\n",
    "      'best test F1', param['tf1'],\n",
    "      'with the model', folder)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Now we have a look at the embedding of the words in the vector space"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(573, 3)\n"
     ]
    }
   ],
   "source": [
    "print(rnn.emb.eval().shape)\n",
    "# make sure the row-wise norm is equal to 1\n",
    "assert(np.sum(np.apply_along_axis(np.linalg.norm, 1, rnn.emb.eval())) == rnn.emb.eval().shape[0]),\"Embedding not properly normalized: Each row has to have norm 1.\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Now we compute check the nearest neighbors for all elements for sanity check"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "nbrs = NearestNeighbors(n_neighbors=10, algorithm='ball_tree').fit(rnn.emb.eval())\n",
    "distances, indices = nbrs.kneighbors(rnn.emb.eval())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{0: \"'d\",\n",
       " 1: \"'ll\",\n",
       " 2: \"'m\",\n",
       " 3: \"'re\",\n",
       " 4: \"'s\",\n",
       " 5: \"'t\",\n",
       " 6: '72s',\n",
       " 7: '<UNK>',\n",
       " 8: 'DIGIT',\n",
       " 9: 'DIGITDIGIT',\n",
       " 10: 'DIGITDIGITDIGIT',\n",
       " 11: 'DIGITDIGITDIGITDIGIT',\n",
       " 12: 'DIGITDIGITDIGITDIGITDIGITDIGIT',\n",
       " 13: 'a',\n",
       " 14: 'abbreviation',\n",
       " 15: 'abbreviations',\n",
       " 16: 'about',\n",
       " 17: 'ac',\n",
       " 18: 'actually',\n",
       " 19: 'after',\n",
       " 20: 'afternoon',\n",
       " 21: 'again',\n",
       " 22: 'air',\n",
       " 23: 'aircraft',\n",
       " 24: 'airfare',\n",
       " 25: 'airline',\n",
       " 26: 'airlines',\n",
       " 27: 'airplane',\n",
       " 28: 'airplanes',\n",
       " 29: 'airport',\n",
       " 30: 'airports',\n",
       " 31: 'alaska',\n",
       " 32: 'all',\n",
       " 33: 'along',\n",
       " 34: 'also',\n",
       " 35: 'am',\n",
       " 36: 'america',\n",
       " 37: 'american',\n",
       " 38: 'amount',\n",
       " 39: 'an',\n",
       " 40: 'and',\n",
       " 41: 'angeles',\n",
       " 42: 'another',\n",
       " 43: 'any',\n",
       " 44: 'anywhere',\n",
       " 45: 'ap',\n",
       " 46: 'ap57',\n",
       " 47: 'ap80',\n",
       " 48: 'approximately',\n",
       " 49: 'april',\n",
       " 50: 'are',\n",
       " 51: 'area',\n",
       " 52: 'arizona',\n",
       " 53: 'around',\n",
       " 54: 'arrange',\n",
       " 55: 'arrangements',\n",
       " 56: 'arrival',\n",
       " 57: 'arrivals',\n",
       " 58: 'arrive',\n",
       " 59: 'arrives',\n",
       " 60: 'arriving',\n",
       " 61: 'as',\n",
       " 62: 'at',\n",
       " 63: 'atl',\n",
       " 64: 'atlanta',\n",
       " 65: 'august',\n",
       " 66: 'available',\n",
       " 67: 'b',\n",
       " 68: 'back',\n",
       " 69: 'baltimore',\n",
       " 70: 'be',\n",
       " 71: 'beach',\n",
       " 72: 'before',\n",
       " 73: 'between',\n",
       " 74: 'boeing',\n",
       " 75: 'book',\n",
       " 76: 'booking',\n",
       " 77: 'boston',\n",
       " 78: 'both',\n",
       " 79: 'bound',\n",
       " 80: 'breakfast',\n",
       " 81: 'burbank',\n",
       " 82: 'business',\n",
       " 83: 'but',\n",
       " 84: 'buy',\n",
       " 85: 'bwi',\n",
       " 86: 'by',\n",
       " 87: 'c',\n",
       " 88: 'california',\n",
       " 89: 'can',\n",
       " 90: 'canada',\n",
       " 91: 'canadian',\n",
       " 92: 'capacity',\n",
       " 93: 'car',\n",
       " 94: 'carolina',\n",
       " 95: 'carries',\n",
       " 96: 'cars',\n",
       " 97: 'charlotte',\n",
       " 98: 'cheap',\n",
       " 99: 'cheapest',\n",
       " 100: 'chicago',\n",
       " 101: 'choices',\n",
       " 102: 'cincinnati',\n",
       " 103: 'cities',\n",
       " 104: 'city',\n",
       " 105: 'class',\n",
       " 106: 'classes',\n",
       " 107: 'cleveland',\n",
       " 108: 'close',\n",
       " 109: 'co',\n",
       " 110: 'coach',\n",
       " 111: 'code',\n",
       " 112: 'codes',\n",
       " 113: 'colorado',\n",
       " 114: 'columbus',\n",
       " 115: 'coming',\n",
       " 116: 'connect',\n",
       " 117: 'connecting',\n",
       " 118: 'connection',\n",
       " 119: 'connections',\n",
       " 120: 'continental',\n",
       " 121: 'cost',\n",
       " 122: 'costs',\n",
       " 123: 'could',\n",
       " 124: 'county',\n",
       " 125: 'cp',\n",
       " 126: 'd',\n",
       " 127: 'daily',\n",
       " 128: 'dallas',\n",
       " 129: 'database',\n",
       " 130: 'day',\n",
       " 131: 'days',\n",
       " 132: 'dc',\n",
       " 133: 'dc10',\n",
       " 134: 'december',\n",
       " 135: 'define',\n",
       " 136: 'delta',\n",
       " 137: 'denver',\n",
       " 138: 'depart',\n",
       " 139: 'departing',\n",
       " 140: 'departs',\n",
       " 141: 'departure',\n",
       " 142: 'departures',\n",
       " 143: 'describe',\n",
       " 144: 'destination',\n",
       " 145: 'detroit',\n",
       " 146: 'dfw',\n",
       " 147: 'diego',\n",
       " 148: 'difference',\n",
       " 149: 'different',\n",
       " 150: 'dinner',\n",
       " 151: 'dinnertime',\n",
       " 152: 'direct',\n",
       " 153: 'display',\n",
       " 154: 'distance',\n",
       " 155: 'dl',\n",
       " 156: 'do',\n",
       " 157: 'does',\n",
       " 158: 'dollars',\n",
       " 159: 'downtown',\n",
       " 160: 'dulles',\n",
       " 161: 'during',\n",
       " 162: 'ea',\n",
       " 163: 'each',\n",
       " 164: 'earlier',\n",
       " 165: 'earliest',\n",
       " 166: 'early',\n",
       " 167: 'eastern',\n",
       " 168: 'economy',\n",
       " 169: 'eight',\n",
       " 170: 'eighteenth',\n",
       " 171: 'eighth',\n",
       " 172: 'either',\n",
       " 173: 'eleventh',\n",
       " 174: 'evening',\n",
       " 175: 'ewr',\n",
       " 176: 'expensive',\n",
       " 177: 'explain',\n",
       " 178: 'express',\n",
       " 179: 'f',\n",
       " 180: 'f28',\n",
       " 181: 'far',\n",
       " 182: 'fare',\n",
       " 183: 'fares',\n",
       " 184: 'february',\n",
       " 185: 'ff',\n",
       " 186: 'field',\n",
       " 187: 'fifteenth',\n",
       " 188: 'fifth',\n",
       " 189: 'find',\n",
       " 190: 'first',\n",
       " 191: 'fit',\n",
       " 192: 'flies',\n",
       " 193: 'flight',\n",
       " 194: 'flights',\n",
       " 195: 'florida',\n",
       " 196: 'fly',\n",
       " 197: 'flying',\n",
       " 198: 'fn',\n",
       " 199: 'following',\n",
       " 200: 'for',\n",
       " 201: 'fort',\n",
       " 202: 'four',\n",
       " 203: 'fourteenth',\n",
       " 204: 'fourth',\n",
       " 205: 'francisco',\n",
       " 206: 'friday',\n",
       " 207: 'friends',\n",
       " 208: 'from',\n",
       " 209: 'general',\n",
       " 210: 'georgia',\n",
       " 211: 'get',\n",
       " 212: 'give',\n",
       " 213: 'go',\n",
       " 214: 'goes',\n",
       " 215: 'going',\n",
       " 216: 'great',\n",
       " 217: 'ground',\n",
       " 218: 'guardia',\n",
       " 219: 'h',\n",
       " 220: 'has',\n",
       " 221: 'have',\n",
       " 222: 'heading',\n",
       " 223: 'hello',\n",
       " 224: 'help',\n",
       " 225: 'here',\n",
       " 226: 'hi',\n",
       " 227: 'highest',\n",
       " 228: 'hours',\n",
       " 229: 'houston',\n",
       " 230: 'how',\n",
       " 231: 'hp',\n",
       " 232: 'i',\n",
       " 233: 'if',\n",
       " 234: 'in',\n",
       " 235: 'include',\n",
       " 236: 'indianapolis',\n",
       " 237: 'information',\n",
       " 238: 'interested',\n",
       " 239: 'international',\n",
       " 240: 'into',\n",
       " 241: 'is',\n",
       " 242: 'it',\n",
       " 243: 'itinerary',\n",
       " 244: 'january',\n",
       " 245: 'jersey',\n",
       " 246: 'jfk',\n",
       " 247: 'jose',\n",
       " 248: 'july',\n",
       " 249: 'june',\n",
       " 250: 'just',\n",
       " 251: 'kansas',\n",
       " 252: 'kind',\n",
       " 253: 'kinds',\n",
       " 254: 'know',\n",
       " 255: 'la',\n",
       " 256: 'lake',\n",
       " 257: 'land',\n",
       " 258: 'landing',\n",
       " 259: 'landings',\n",
       " 260: 'las',\n",
       " 261: 'last',\n",
       " 262: 'lastest',\n",
       " 263: 'late',\n",
       " 264: 'later',\n",
       " 265: 'latest',\n",
       " 266: 'layover',\n",
       " 267: 'least',\n",
       " 268: 'leave',\n",
       " 269: 'leaves',\n",
       " 270: 'leaving',\n",
       " 271: 'less',\n",
       " 272: 'let',\n",
       " 273: 'like',\n",
       " 274: 'limo',\n",
       " 275: 'limousine',\n",
       " 276: 'list',\n",
       " 277: 'listing',\n",
       " 278: 'live',\n",
       " 279: 'lives',\n",
       " 280: 'located',\n",
       " 281: 'logan',\n",
       " 282: 'long',\n",
       " 283: 'look',\n",
       " 284: 'looking',\n",
       " 285: 'los',\n",
       " 286: 'louis',\n",
       " 287: 'love',\n",
       " 288: 'lowest',\n",
       " 289: 'lufthansa',\n",
       " 290: 'lunch',\n",
       " 291: 'm',\n",
       " 292: 'm80',\n",
       " 293: 'make',\n",
       " 294: 'makes',\n",
       " 295: 'making',\n",
       " 296: 'many',\n",
       " 297: 'march',\n",
       " 298: 'maximum',\n",
       " 299: 'may',\n",
       " 300: 'mco',\n",
       " 301: 'me',\n",
       " 302: 'meal',\n",
       " 303: 'meals',\n",
       " 304: 'mean',\n",
       " 305: 'meaning',\n",
       " 306: 'memphis',\n",
       " 307: 'miami',\n",
       " 308: 'michigan',\n",
       " 309: 'midnight',\n",
       " 310: 'midway',\n",
       " 311: 'midwest',\n",
       " 312: 'milwaukee',\n",
       " 313: 'minneapolis',\n",
       " 314: 'minnesota',\n",
       " 315: 'missouri',\n",
       " 316: 'mitchell',\n",
       " 317: 'monday',\n",
       " 318: 'month',\n",
       " 319: 'montreal',\n",
       " 320: 'more',\n",
       " 321: 'morning',\n",
       " 322: 'mornings',\n",
       " 323: 'most',\n",
       " 324: 'much',\n",
       " 325: 'my',\n",
       " 326: 'name',\n",
       " 327: 'names',\n",
       " 328: 'nashville',\n",
       " 329: 'nationair',\n",
       " 330: 'near',\n",
       " 331: 'need',\n",
       " 332: 'new',\n",
       " 333: 'newark',\n",
       " 334: 'next',\n",
       " 335: 'night',\n",
       " 336: 'nineteenth',\n",
       " 337: 'ninth',\n",
       " 338: 'no',\n",
       " 339: 'nonstop',\n",
       " 340: 'nonstops',\n",
       " 341: 'noon',\n",
       " 342: 'noontime',\n",
       " 343: 'north',\n",
       " 344: 'northwest',\n",
       " 345: 'november',\n",
       " 346: 'now',\n",
       " 347: 'number',\n",
       " 348: 'numbers',\n",
       " 349: 'nw',\n",
       " 350: \"o'clock\",\n",
       " 351: 'oakland',\n",
       " 352: 'october',\n",
       " 353: 'of',\n",
       " 354: 'offer',\n",
       " 355: 'offers',\n",
       " 356: 'ohio',\n",
       " 357: 'okay',\n",
       " 358: 'on',\n",
       " 359: 'one',\n",
       " 360: 'only',\n",
       " 361: 'ontario',\n",
       " 362: 'options',\n",
       " 363: 'or',\n",
       " 364: 'ord',\n",
       " 365: 'originate',\n",
       " 366: 'originating',\n",
       " 367: 'orlando',\n",
       " 368: 'other',\n",
       " 369: 'out',\n",
       " 370: 'over',\n",
       " 371: 'passengers',\n",
       " 372: 'paul',\n",
       " 373: 'pennsylvania',\n",
       " 374: 'people',\n",
       " 375: 'petersburg',\n",
       " 376: 'philadelphia',\n",
       " 377: 'philly',\n",
       " 378: 'phoenix',\n",
       " 379: 'pittsburgh',\n",
       " 380: 'plan',\n",
       " 381: 'plane',\n",
       " 382: 'planes',\n",
       " 383: 'please',\n",
       " 384: 'pm',\n",
       " 385: 'possible',\n",
       " 386: 'price',\n",
       " 387: 'prices',\n",
       " 388: 'provide',\n",
       " 389: 'provided',\n",
       " 390: 'q',\n",
       " 391: 'qo',\n",
       " 392: 'quebec',\n",
       " 393: 'qw',\n",
       " 394: 'qx',\n",
       " 395: 'rate',\n",
       " 396: 'rates',\n",
       " 397: 'reaching',\n",
       " 398: 'rent',\n",
       " 399: 'rental',\n",
       " 400: 'rentals',\n",
       " 401: 'repeat',\n",
       " 402: 'requesting',\n",
       " 403: 'reservation',\n",
       " 404: 'reservations',\n",
       " 405: 'restriction',\n",
       " 406: 'restrictions',\n",
       " 407: 'return',\n",
       " 408: 'returning',\n",
       " 409: 'right',\n",
       " 410: 'round',\n",
       " 411: 's',\n",
       " 412: 'sa',\n",
       " 413: 'salt',\n",
       " 414: 'same',\n",
       " 415: 'san',\n",
       " 416: 'saturday',\n",
       " 417: 'saturdays',\n",
       " 418: 'say',\n",
       " 419: 'schedule',\n",
       " 420: 'schedules',\n",
       " 421: 'seating',\n",
       " 422: 'seats',\n",
       " 423: 'seattle',\n",
       " 424: 'second',\n",
       " 425: 'see',\n",
       " 426: 'september',\n",
       " 427: 'serve',\n",
       " 428: 'served',\n",
       " 429: 'serves',\n",
       " 430: 'service',\n",
       " 431: 'serviced',\n",
       " 432: 'services',\n",
       " 433: 'serving',\n",
       " 434: 'seventeenth',\n",
       " 435: 'seventh',\n",
       " 436: 'sfo',\n",
       " 437: 'shortest',\n",
       " 438: 'should',\n",
       " 439: 'show',\n",
       " 440: 'six',\n",
       " 441: 'sixteen',\n",
       " 442: 'sixteenth',\n",
       " 443: 'sixth',\n",
       " 444: 'smallest',\n",
       " 445: 'snack',\n",
       " 446: 'so',\n",
       " 447: 'some',\n",
       " 448: 'sometime',\n",
       " 449: 'soon',\n",
       " 450: 'sorry',\n",
       " 451: 'southwest',\n",
       " 452: 'st.',\n",
       " 453: 'stand',\n",
       " 454: 'stands',\n",
       " 455: 'stapleton',\n",
       " 456: 'starting',\n",
       " 457: 'still',\n",
       " 458: 'stop',\n",
       " 459: 'stopover',\n",
       " 460: 'stopovers',\n",
       " 461: 'stopping',\n",
       " 462: 'stops',\n",
       " 463: 'sunday',\n",
       " 464: 'sundays',\n",
       " 465: 'sure',\n",
       " 466: 'tacoma',\n",
       " 467: 'take',\n",
       " 468: 'takeoff',\n",
       " 469: 'takeoffs',\n",
       " 470: 'taking',\n",
       " 471: 'tampa',\n",
       " 472: 'taxi',\n",
       " 473: 'tell',\n",
       " 474: 'ten',\n",
       " 475: 'tennessee',\n",
       " 476: 'tenth',\n",
       " 477: 'texas',\n",
       " 478: 'than',\n",
       " 479: 'thank',\n",
       " 480: 'that',\n",
       " 481: 'the',\n",
       " 482: 'their',\n",
       " 483: 'then',\n",
       " 484: 'there',\n",
       " 485: 'these',\n",
       " 486: 'they',\n",
       " 487: 'third',\n",
       " 488: 'thirteenth',\n",
       " 489: 'thirtieth',\n",
       " 490: 'thirty',\n",
       " 491: 'this',\n",
       " 492: 'those',\n",
       " 493: 'three',\n",
       " 494: 'thrift',\n",
       " 495: 'through',\n",
       " 496: 'thursday',\n",
       " 497: 'thursdays',\n",
       " 498: 'ticket',\n",
       " 499: 'tickets',\n",
       " 500: 'time',\n",
       " 501: 'times',\n",
       " 502: 'to',\n",
       " 503: 'today',\n",
       " 504: 'tomorrow',\n",
       " 505: 'too',\n",
       " 506: 'toronto',\n",
       " 507: 'total',\n",
       " 508: 'tower',\n",
       " 509: 'train',\n",
       " 510: 'transcontinental',\n",
       " 511: 'transport',\n",
       " 512: 'transportation',\n",
       " 513: 'travel',\n",
       " 514: 'traveling',\n",
       " 515: 'trip',\n",
       " 516: 'trips',\n",
       " 517: 'trying',\n",
       " 518: 'tuesday',\n",
       " 519: 'tuesdays',\n",
       " 520: 'turboprop',\n",
       " 521: 'twa',\n",
       " 522: 'twelfth',\n",
       " 523: 'twentieth',\n",
       " 524: 'twenty',\n",
       " 525: 'two',\n",
       " 526: 'type',\n",
       " 527: 'types',\n",
       " 528: 'ua',\n",
       " 529: 'under',\n",
       " 530: 'united',\n",
       " 531: 'up',\n",
       " 532: 'us',\n",
       " 533: 'use',\n",
       " 534: 'used',\n",
       " 535: 'uses',\n",
       " 536: 'using',\n",
       " 537: 'utah',\n",
       " 538: 'various',\n",
       " 539: 'vegas',\n",
       " 540: 'very',\n",
       " 541: 'via',\n",
       " 542: 'want',\n",
       " 543: 'washington',\n",
       " 544: 'way',\n",
       " 545: 'we',\n",
       " 546: 'wednesday',\n",
       " 547: 'wednesdays',\n",
       " 548: 'week',\n",
       " 549: 'weekday',\n",
       " 550: 'weekdays',\n",
       " 551: 'well',\n",
       " 552: 'west',\n",
       " 553: 'westchester',\n",
       " 554: 'what',\n",
       " 555: 'when',\n",
       " 556: 'where',\n",
       " 557: 'which',\n",
       " 558: 'who',\n",
       " 559: 'will',\n",
       " 560: 'wish',\n",
       " 561: 'with',\n",
       " 562: 'within',\n",
       " 563: 'without',\n",
       " 564: 'worth',\n",
       " 565: 'would',\n",
       " 566: 'y',\n",
       " 567: 'yes',\n",
       " 568: 'yn',\n",
       " 569: 'york',\n",
       " 570: 'you',\n",
       " 571: 'your'}"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# What are the different label categories?\n",
    "idx2word"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['philadelphia',\n",
       " 'baltimore',\n",
       " 'chicago',\n",
       " 'oakland',\n",
       " 'boston',\n",
       " 'pittsburgh',\n",
       " 'cincinnati',\n",
       " 'memphis',\n",
       " 'miami',\n",
       " 'eighth']"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# show the nearest neighbor to the word 'philadelphia'\n",
    "idx = 376\n",
    "[idx2word[x] for x in indices[idx]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['schedules',\n",
       " 'arizona',\n",
       " 'train',\n",
       " 'taxi',\n",
       " 'time',\n",
       " 'highest',\n",
       " 'schedule',\n",
       " 'under',\n",
       " 'times',\n",
       " 'economy']"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# show the nearest neighbor to the word 'saturday'\n",
    "idx = 420\n",
    "[idx2word[x] for x in indices[idx]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['august',\n",
       " 'june',\n",
       " 'november',\n",
       " 'july',\n",
       " 'ap',\n",
       " 'september',\n",
       " 'december',\n",
       " 'april',\n",
       " 'january',\n",
       " 'rental']"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# show the nearest neighbor to the word 'august'\n",
    "idx = 65\n",
    "[idx2word[x] for x in indices[idx]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['breakfast',\n",
       " 'dinner',\n",
       " 'sixteen',\n",
       " 'florida',\n",
       " 'california',\n",
       " 'qw',\n",
       " 'carolina',\n",
       " 'f',\n",
       " 'thirteenth',\n",
       " 'expensive']"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# show the nearest neighbor to the word 'breakfast'\n",
    "idx = 80\n",
    "[idx2word[x] for x in indices[idx]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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