aadjones/gist:9677672

## gistfile1.json
{
 "metadata": {
  "name": "2403FinalProject"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": "<h1> Aaron Demby Jones 240E Final Project </h1>"
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": "<h2> Some preprocessing </h2>"
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "from essentia.standard import *",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 183
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "cd ~/Desktop/Music/",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "/Users/adj/Desktop/Music\n"
      }
     ],
     "prompt_number": 67
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "loader = MonoLoader(filename = 'houston.aiff')     #one of the canonical sample audio files for SuperCollider\nhouston = loader()",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 68
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "houston.shape",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 69,
       "text": "(107520,)"
      }
     ],
     "prompt_number": 69
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "plot(houston)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 70,
       "text": "[<matplotlib.lines.Line2D at 0x114d2b550>]"
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAD9CAYAAABJGYveAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niCwKEoQQQmRRkCCEECLr/wNQTfeJGShj2AAAAABJRU5ErkJggg==\n",
       "text": "<matplotlib.figure.Figure at 0x1197071d0>"
      }
     ],
     "prompt_number": 70
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "sr = 44100",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 71
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": "<h2> Working with the SSM of the spectrogram </h2>"
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "Pxx, freqs, times, im = specgram(houston, NFFT=2048, Fs=sr, window=window_hanning, noverlap=1024);",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAD9CAYAAAC4EtBTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
       "text": "<matplotlib.figure.Figure at 0x114d313d0>"
      }
     ],
     "prompt_number": 72
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "def windowed_rms(input_sig, win_size, hop=None, sr=1.0):\n    if not hop:\n        hop = winsize/2\n    rms = []\n    window_start = arange(0, len(input_sig), hop)\n    \n    for start in window_start:\n        w = input_sig[start: start+win_size].astype(float)\n        rms_inst = sqrt(mean(w**2))\n        rms.append(rms_inst)\n    times = (window_start + win_size/2)/float(sr)\n    return times, rms",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 129
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "Pxx.shape",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 74,
       "text": "(1025, 104)"
      }
     ],
     "prompt_number": 74
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "Pxx = sqrt(Pxx)     # we want magnitude, not power",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 75
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "Pxx = Pxx.T     # don't want to mess up the axis again!",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 76
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "Pxx.shape",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 77,
       "text": "(104, 1025)"
      }
     ],
     "prompt_number": 77
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "ssm = []\nfor v in Pxx:     \n    for w in Pxx:\n        length = linalg.norm(v-w)     # using Euclidean distance for similarity\n        ssm.append(length)",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 78
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "ssm = array(ssm).reshape(104, 104)     # 104 is the second dimension of Pxx",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 79
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "for row in ssm:\n    total = sum(row)\n    row /= total          # we want to normalize each row to sum to 1 for use as a stochastic matrix\n",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 80
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "ssm",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 81,
       "text": "array([[ 0.        ,  0.00158532,  0.0018006 , ...,  0.00214097,\n         0.00185438,  0.00183121],\n       [ 0.00158286,  0.        ,  0.00163156, ...,  0.0022029 ,\n         0.00205121,  0.00190141],\n       [ 0.00179271,  0.00162693,  0.        , ...,  0.00227925,\n         0.00225359,  0.00202225],\n       ..., \n       [ 0.00220641,  0.00227376,  0.00235925, ...,  0.        ,\n         0.00124015,  0.00122536],\n       [ 0.00190831,  0.00211414,  0.00232934, ...,  0.00123837,\n         0.        ,  0.00124601],\n       [ 0.00188883,  0.00196429,  0.00209507, ...,  0.00122643,\n         0.0012489 ,  0.        ]])"
      }
     ],
     "prompt_number": 81
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "sum(ssm[0])",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 83,
       "text": "0.99999999999999922"
      }
     ],
     "prompt_number": 83
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "sum(ssm[1])",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 20,
       "text": "1.0000000000000002"
      }
     ],
     "prompt_number": 20
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "imshow(ssm, cmap='gray')\ngcf().set_figheight(10)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAFrCAYAAADM/QJaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n85nGfgAAAABJRU5ErkJggg==\n",
       "text": "<matplotlib.figure.Figure at 0x114d49890>"
      }
     ],
     "prompt_number": 84
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "cd ../PythonTxt/     # a directory used to interface between Python and Supercollider",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "/Users/adj/Desktop/PythonTxt\n"
      }
     ],
     "prompt_number": 86
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "weight_matrix = []\nfor row in ssm:\n    row = row.tolist()     # it's easiest to cast to list so that it can be interpreted automatically as valid SC code\n    weight_matrix.append(row)",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 87
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "%store weight_matrix >sc_weight_matrix.txt",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "Writing 'weight_matrix' (list) to file 'sc_weight_matrix.txt'.\n"
      }
     ],
     "prompt_number": 89
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "events = range(104)\nsc_list = []\nfor i in events:\n    row = [i, events, ssm[i].tolist()]\n    sc_list.append(row)\n\n# one of my early attempts to use the MathQuark 'Markov' in SC---it requires input of this form.",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 22
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "sc_list",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 187,
       "text": "[[0,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0,\n   0.001585319139428004,\n   0.0018006000781443693,\n   0.0021779816687236804,\n   0.005185102534729135,\n   0.006912084633075105,\n   0.0037740293823592657,\n   0.003501204093968573,\n   0.0032732933146793017,\n   0.003419677279420723,\n   0.0032309747539764695,\n   0.003685802243048038,\n   0.003345663077342665,\n   0.003444514910277851,\n   0.004145972985933929,\n   0.005140766843209204,\n   0.0034219851533777105,\n   0.0023246855120672653,\n   0.0024247059240959656,\n   0.0027126273443244743,\n   0.021101859706752515,\n   0.01635317041366683,\n   0.01972358108379316,\n   0.020224321878935372,\n   0.01827408927677053,\n   0.015428202089806903,\n   0.01556462688362306,\n   0.007183344647019756,\n   0.005266554153468904,\n   0.006426951357844367,\n   0.01620152615003285,\n   0.02200660066739473,\n   0.027444770787046324,\n   0.023510527614780986,\n   0.018042483462891837,\n   0.021081560304251942,\n   0.020601395366874296,\n   0.029172153181783917,\n   0.024862895294336173,\n   0.01687575510523653,\n   0.002779371166921344,\n   0.0029057399105020913,\n   0.003975428209057085,\n   0.016956029018674205,\n   0.021711002178234774,\n   0.02420407233533775,\n   0.02229964617021455,\n   0.0037766328461607216,\n   0.0022073566357035724,\n   0.0025369025299550934,\n   0.008184737947845367,\n   0.01991817077932538,\n   0.025369886515755922,\n   0.028817512126995966,\n   0.028538080045906397,\n   0.026909359055684718,\n   0.01797433115813134,\n   0.0029871414750413253,\n   0.0028442514227352074,\n   0.002745159982734775,\n   0.002651724091404818,\n   0.008150536243251079,\n   0.018222401270823217,\n   0.01148566875221236,\n   0.00849175318751362,\n   0.01692823334234426,\n   0.018542138107036293,\n   0.021149277511641206,\n   0.02227866860669245,\n   0.01694988452823043,\n   0.016954465390548963,\n   0.02261003685282395,\n   0.0161546976971791,\n   0.010550179363427628,\n   0.0055624353158386045,\n   0.002743517568813636,\n   0.0031181544853580248,\n   0.002678788970458677,\n   0.0037121059661280754,\n   0.0035276946092370745,\n   0.003785932807623311,\n   0.003922833620671376,\n   0.004058226377662313,\n   0.003974338870434219,\n   0.003858945549003906,\n   0.0036562178369279504,\n   0.003915246279889398,\n   0.003631815458977034,\n   0.0038121369005951716,\n   0.0031172953222884394,\n   0.0024407627030559975,\n   0.002391998921605867,\n   0.002494000258005663,\n   0.0024404127381280195,\n   0.0024268548022415948,\n   0.00224285405182806,\n   0.0024442696595217677,\n   0.002211826550484361,\n   0.0021141825380436474,\n   0.0021036989393605826,\n   0.0021730654857218088,\n   0.0021409684180451476,\n   0.0018543771415590897,\n   0.0018312050979509993]],\n [1,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0015828644569030675,\n   0.0,\n   0.0016315578117187925,\n   0.0019769576948200198,\n   0.005018531043344312,\n   0.007151368200263339,\n   0.0038816456722027856,\n   0.003514168034151973,\n   0.00328772933602444,\n   0.0035409251661433112,\n   0.003295727727364413,\n   0.003759148294191386,\n   0.0034174204180745064,\n   0.0034674301094662677,\n   0.004076322040327449,\n   0.005290348073629615,\n   0.003514661090351435,\n   0.002463005755723066,\n   0.0024476338430180194,\n   0.002582399268338594,\n   0.02092696732710477,\n   0.016367111118005675,\n   0.01952726050968564,\n   0.020073434057146917,\n   0.01842748595660581,\n   0.015630186717890706,\n   0.015760923777079612,\n   0.007465535442941502,\n   0.0054041973442724,\n   0.006493527174943576,\n   0.0160822289301052,\n   0.021861725717731595,\n   0.027247013075815455,\n   0.023331901680937347,\n   0.017979814376147474,\n   0.020922330106997008,\n   0.02056660452971736,\n   0.02901501619843442,\n   0.024735775210492448,\n   0.016638695050176178,\n   0.002588423670187936,\n   0.002877420296278528,\n   0.0038733276301441267,\n   0.01683043546701222,\n   0.021428925354626094,\n   0.023862987385618022,\n   0.022095361633827484,\n   0.0034904793129794543,\n   0.002230793588773576,\n   0.0023880196856788925,\n   0.008123042568200385,\n   0.020002810809322646,\n   0.025375594095175872,\n   0.028744558374329248,\n   0.028389506267805512,\n   0.02670202646960482,\n   0.0178301283861849,\n   0.0028884483712502424,\n   0.0028677514500445767,\n   0.0027504954262817425,\n   0.002667713556551697,\n   0.007991158843179453,\n   0.018389580584183374,\n   0.011758954358822555,\n   0.008658455933135918,\n   0.016928009073073146,\n   0.01863977671881455,\n   0.021394640891206095,\n   0.02243570600465892,\n   0.016942450647754837,\n   0.016746228841017535,\n   0.022705449477485776,\n   0.01631678222534464,\n   0.010556038437847227,\n   0.005647537062518786,\n   0.002890869384595069,\n   0.0031508022081096106,\n   0.0026733055389877255,\n   0.0037843278267725485,\n   0.003580802395152906,\n   0.0038749450073192345,\n   0.004043770143672906,\n   0.004115013148027968,\n   0.00401849749977928,\n   0.003975620493100155,\n   0.0037754299622468823,\n   0.003972262823650641,\n   0.0037508600655902567,\n   0.003946763005490694,\n   0.00316365027823409,\n   0.0025618197938085405,\n   0.0024140310527451694,\n   0.0025321140958801916,\n   0.0024258484141654896,\n   0.0024115981764326745,\n   0.002284494918130217,\n   0.002464654496263179,\n   0.0021839799559298886,\n   0.0020765882715338504,\n   0.00211815335324132,\n   0.0021776761357278716,\n   0.0022029014138671135,\n   0.00205120887559891,\n   0.0019014140287373236]],\n [2,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.00179271126952539,\n   0.0016269287230449613,\n   0.0,\n   0.001815248754355038,\n   0.004933183913957279,\n   0.007184581722566959,\n   0.003859543750451212,\n   0.0036506763872390467,\n   0.0033359329355411044,\n   0.0036100150428230865,\n   0.0033664955347874263,\n   0.003847205456836046,\n   0.0035326228263567964,\n   0.0036329061709361003,\n   0.003928823978512758,\n   0.0051285366046975485,\n   0.0035696772508116066,\n   0.0024685815488723313,\n   0.0025876635532585063,\n   0.0026605935824234434,\n   0.020680669193389407,\n   0.016345984369863172,\n   0.01928904431769175,\n   0.019777980520614507,\n   0.018313523590322272,\n   0.01543975901205341,\n   0.015615595296139635,\n   0.007470090032862769,\n   0.005290575774016497,\n   0.006452769257955229,\n   0.01604562324547791,\n   0.021655689522149097,\n   0.027024110036396157,\n   0.023161611682158748,\n   0.017927636273376513,\n   0.02086351781595177,\n   0.020452792284374768,\n   0.028881915421605085,\n   0.024628947035908195,\n   0.016553802505283946,\n   0.00264127463294096,\n   0.002910978692083072,\n   0.0038873260519386196,\n   0.016827826987983956,\n   0.021407976433987747,\n   0.023869123276135627,\n   0.02196016603672406,\n   0.003552220962933871,\n   0.0023935957315023306,\n   0.0025116394571324616,\n   0.008051386846964041,\n   0.019894577287884244,\n   0.025249111736620967,\n   0.02861915480831658,\n   0.028233702056638534,\n   0.02653822868327155,\n   0.017730057204640586,\n   0.0028496314416041964,\n   0.002964119567575455,\n   0.0028197039586989286,\n   0.0026818175404480127,\n   0.007915194885054096,\n   0.018356701565991135,\n   0.011715087080647385,\n   0.008740146706393524,\n   0.017112489950760527,\n   0.01866036214421779,\n   0.021298839573895143,\n   0.022434131465182573,\n   0.01687157474652383,\n   0.016686179776426082,\n   0.022599768567386002,\n   0.0162624872120582,\n   0.010668106540786811,\n   0.005789507038110131,\n   0.0029252689005720505,\n   0.0032208145073337356,\n   0.002831579991296841,\n   0.0038538948236329753,\n   0.0036942512881442827,\n   0.00396205904333782,\n   0.00407292517921574,\n   0.00413463601456098,\n   0.0040512920941150644,\n   0.0039765741577427105,\n   0.0038368835444889202,\n   0.0040326710444818755,\n   0.003847950136675574,\n   0.004076433943734121,\n   0.0032913919593203188,\n   0.00260894205413279,\n   0.002459982408602404,\n   0.0025914986454601044,\n   0.002531755971236007,\n   0.002507958152860637,\n   0.0023194047178607593,\n   0.0024362454518191707,\n   0.0022551198782798047,\n   0.0022341647800290204,\n   0.0022245603525829507,\n   0.0023588880100297847,\n   0.002279247348048252,\n   0.002253593659190501,\n   0.0020222490971680386]],\n [3,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0021199406369105346,\n   0.0019272578856840434,\n   0.0017746493045053162,\n   0.0,\n   0.00464250620068089,\n   0.007114213319446778,\n   0.004225527272024933,\n   0.003911647870239767,\n   0.0036544825404828765,\n   0.004086482690237805,\n   0.003849054346708369,\n   0.004370842466780587,\n   0.003968692240894885,\n   0.004083459395850197,\n   0.004113797544125927,\n   0.005006181839131267,\n   0.0037620678835346534,\n   0.0030886858826665933,\n   0.003090041573246594,\n   0.0029822555536019426,\n   0.01999412263528821,\n   0.015871129579692368,\n   0.01872761356840789,\n   0.019284567908054735,\n   0.01782903476534671,\n   0.015003696310611258,\n   0.015132194248924681,\n   0.007200248393299898,\n   0.005140376379702764,\n   0.005976917862850817,\n   0.015276090266094541,\n   0.020912704962872317,\n   0.026284606167997642,\n   0.022554673373414824,\n   0.01757081885252477,\n   0.020501525324257745,\n   0.020115054246491893,\n   0.02822359891691021,\n   0.024169205249262568,\n   0.016270864373532323,\n   0.0031986789170115027,\n   0.00349315639909213,\n   0.003941998765354347,\n   0.016547109816811147,\n   0.020987200030751305,\n   0.023260687048007593,\n   0.021177213845670246,\n   0.003687153612072806,\n   0.0027952495432126594,\n   0.0030273121034905984,\n   0.007739731588598303,\n   0.01956942918872962,\n   0.024718213854737384,\n   0.028009610521249926,\n   0.027503422295730214,\n   0.02577405658081204,\n   0.017242437427317,\n   0.0033538381916848165,\n   0.0035276558287761052,\n   0.003327210164252938,\n   0.0032574898870736213,\n   0.007536930154596304,\n   0.01776271162344558,\n   0.011399305698032436,\n   0.008455068169216439,\n   0.01645986598228158,\n   0.01801130022062369,\n   0.020671931999441364,\n   0.02190055948562077,\n   0.01645107416506339,\n   0.016289671482686383,\n   0.02207460602452201,\n   0.015882978696443326,\n   0.010382946452502054,\n   0.005635174395862111,\n   0.003268937886121145,\n   0.003754980827564508,\n   0.0033117726576203663,\n   0.004255557161283756,\n   0.004068709441846543,\n   0.004324699014187506,\n   0.004382573099830301,\n   0.004520039528910611,\n   0.004393744802984091,\n   0.004358908105364516,\n   0.004134244668588547,\n   0.004364358652791789,\n   0.004257618175645594,\n   0.0044008413411464765,\n   0.0037274559208814203,\n   0.0031739333295249346,\n   0.002946854178287676,\n   0.0030742426335178753,\n   0.00304326344320623,\n   0.0031125102423924713,\n   0.0026163928899032383,\n   0.0028575494641041826,\n   0.002826146232934785,\n   0.002720056813789249,\n   0.0025272562811356034,\n   0.0028529867776084334,\n   0.0028846523063591127,\n   0.002561330437030099,\n   0.002414573692373195]],\n [4,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.004703497226725283,\n   0.0045594571022524125,\n   0.004494669533284055,\n   0.004326598108623808,\n   0.0,\n   0.006599749312012256,\n   0.006434842087341735,\n   0.006043213645817348,\n   0.0058335751681696,\n   0.006104200204129067,\n   0.005965066349645563,\n   0.006339477797314483,\n   0.006046801401565351,\n   0.006156067460374446,\n   0.004372390344613882,\n   0.004429866576550019,\n   0.005257796412370472,\n   0.005561716385516208,\n   0.005547914154823273,\n   0.0043209539565787925,\n   0.016317455164762115,\n   0.013585267302042613,\n   0.01641085283004711,\n   0.016682135960637192,\n   0.015104323067714887,\n   0.012818364551921582,\n   0.012775462385109893,\n   0.006077252646764239,\n   0.005683651588148241,\n   0.005228488165199281,\n   0.01262295914875975,\n   0.018347948971534373,\n   0.02349928592740948,\n   0.019861356504607523,\n   0.0148571067900735,\n   0.017255526599153116,\n   0.017034371004171274,\n   0.02489876132160363,\n   0.02080966459374757,\n   0.01301687178625025,\n   0.005452861891752673,\n   0.005835734760982681,\n   0.004627281315955904,\n   0.01319424405552566,\n   0.017276468477220867,\n   0.01947338857366336,\n   0.018187457080891905,\n   0.004683001298558485,\n   0.00533366922344512,\n   0.00546298472342469,\n   0.00584647943558061,\n   0.01627789939224305,\n   0.021232255853212142,\n   0.024485159831050277,\n   0.024427406602629178,\n   0.022837374643217792,\n   0.01431552477274466,\n   0.005465118238505374,\n   0.0060533717768395685,\n   0.0057331991738605375,\n   0.005789955096651773,\n   0.00533268043913496,\n   0.014694247807262282,\n   0.00943241081187758,\n   0.0066737823691413655,\n   0.013957219445588824,\n   0.015518287581808643,\n   0.017932626850930798,\n   0.01876024986131241,\n   0.013411161833265047,\n   0.012750013584622478,\n   0.018361425419776926,\n   0.013099845990959853,\n   0.008621476310302975,\n   0.004445959050342823,\n   0.005500245618805891,\n   0.006095478450607357,\n   0.005794641421642389,\n   0.0064235483491746565,\n   0.006311218896936673,\n   0.006454864669457332,\n   0.00650247885137408,\n   0.006515517829297334,\n   0.006470760312175788,\n   0.006401697384981827,\n   0.006259491366938056,\n   0.00646125739011554,\n   0.006250849180736229,\n   0.006400783509929258,\n   0.005944662927846841,\n   0.0057620902968432645,\n   0.005617112433483915,\n   0.00563704676035479,\n   0.005682939710136041,\n   0.0056859102745868,\n   0.005069703769602409,\n   0.005473196479182278,\n   0.005194172472788296,\n   0.005323114605819992,\n   0.005003780851116502,\n   0.005411867158478429,\n   0.005205725949357881,\n   0.0052136509710342,\n   0.004965008995547245]],\n [5,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0055909077291184965,\n   0.005793425044696921,\n   0.005836892339755565,\n   0.005911949032983087,\n   0.005884874069136309,\n   0.0,\n   0.006158622969012855,\n   0.005810172675706616,\n   0.005690373158726229,\n   0.005635149355245412,\n   0.005754563930385209,\n   0.00610561131001398,\n   0.005848428882381442,\n   0.005995274264089805,\n   0.005764406549258664,\n   0.0056910527497845585,\n   0.005453695538328358,\n   0.006077821289072611,\n   0.006322989199282803,\n   0.0058963718610635695,\n   0.015896548306826606,\n   0.01305070877075119,\n   0.015151154986740627,\n   0.015581171911563373,\n   0.015143132932647525,\n   0.013360395195185636,\n   0.013462247693002364,\n   0.007435594502290992,\n   0.00644940707525503,\n   0.0066858746005465566,\n   0.012716214473360157,\n   0.016733914295355107,\n   0.020920639289990717,\n   0.01814871571911974,\n   0.01440795353756989,\n   0.016621203411529985,\n   0.015725215110315733,\n   0.02252093135221507,\n   0.01951682587699188,\n   0.013304936628559269,\n   0.006098737267499361,\n   0.006523179497387377,\n   0.00610573375668174,\n   0.013063343186588142,\n   0.016904039706147806,\n   0.01865207381007486,\n   0.017080121678970616,\n   0.006046351763875675,\n   0.006065337194389354,\n   0.006195471134431169,\n   0.00684641702691223,\n   0.014247762038357023,\n   0.018843116294786914,\n   0.021680639172429718,\n   0.021641856733004564,\n   0.020337753501079775,\n   0.013626396942293964,\n   0.006210592471090191,\n   0.006492399453550247,\n   0.00639160605983837,\n   0.006346363900594328,\n   0.007830102276259344,\n   0.014558201161652917,\n   0.008763167433243985,\n   0.0060054291141650815,\n   0.013482895100067713,\n   0.01502325816229197,\n   0.017164144071946365,\n   0.018113776150797484,\n   0.013549848721625117,\n   0.0139657840945662,\n   0.018287482533510434,\n   0.013121403276876907,\n   0.009412477984207546,\n   0.006088774172413023,\n   0.006012201598199494,\n   0.006389754772648405,\n   0.006053948133887259,\n   0.006343141339578578,\n   0.006366468793304773,\n   0.0064529363565886625,\n   0.006423753980103739,\n   0.0065862112481116005,\n   0.0064005963750335204,\n   0.006370657120144512,\n   0.006043844367488361,\n   0.006348003008678019,\n   0.0058837941964035795,\n   0.005873987687611944,\n   0.00585045327641954,\n   0.0059390792357364615,\n   0.005816736706791051,\n   0.005821116658813972,\n   0.006019150413448572,\n   0.006087429906926824,\n   0.005762963498699935,\n   0.005963837114755181,\n   0.0059816235973459775,\n   0.005791912615121703,\n   0.005782215398630542,\n   0.0058052842806823185,\n   0.005717257261332348,\n   0.005635514888684462,\n   0.005654721707361321]],\n [6,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0035715539859117167,\n   0.00367909334695879,\n   0.0036685532424673424,\n   0.004108311558475955,\n   0.0067131490902852305,\n   0.007205469459468905,\n   0.0,\n   0.0024531204442731986,\n   0.0018667857570036745,\n   0.00201329557770551,\n   0.0024297368066037188,\n   0.002065627391888659,\n   0.0020897223756433025,\n   0.0020243764761138415,\n   0.0040578018564130635,\n   0.005036440420623452,\n   0.0031635576631247318,\n   0.0028794701381738698,\n   0.003102369432647418,\n   0.0036733154761681335,\n   0.020889596984140776,\n   0.016156687737898866,\n   0.019107279886418593,\n   0.01977697790147608,\n   0.018284018096842332,\n   0.01546273528207919,\n   0.015655422533208358,\n   0.007748566799916456,\n   0.005423881959407134,\n   0.0069944936843478476,\n   0.01620302408107676,\n   0.021304558434138546,\n   0.026309515644956025,\n   0.022745258141200455,\n   0.017678712123916928,\n   0.020432850796423596,\n   0.020001919670221302,\n   0.028016901167046332,\n   0.024005063260107495,\n   0.016451173668082287,\n   0.0030454296815332084,\n   0.0030674402512755852,\n   0.004612968638659493,\n   0.016732709012546407,\n   0.0210834004495041,\n   0.02346787402724882,\n   0.021750593211455716,\n   0.0043444113557886445,\n   0.0032553543507253518,\n   0.0032532813728965953,\n   0.008687104348307594,\n   0.019599339905574113,\n   0.02463751894099693,\n   0.027824029868120163,\n   0.027445825317885558,\n   0.02588266548011152,\n   0.017544335598484208,\n   0.0033374376973041983,\n   0.0029633431835001433,\n   0.0030412478145586583,\n   0.002924094259063551,\n   0.008700848161175062,\n   0.01810735933852644,\n   0.011728436023607796,\n   0.00933169293868026,\n   0.016952407355707442,\n   0.018248872430347167,\n   0.020713523480870237,\n   0.021817147476786154,\n   0.016738113820991354,\n   0.016716337993955905,\n   0.022053366148788205,\n   0.016008413850873912,\n   0.010845230364068585,\n   0.006508452985227056,\n   0.0032893424850377272,\n   0.0032107913139361945,\n   0.00281685306163899,\n   0.0027165813557673882,\n   0.002929932387440565,\n   0.003263192862988885,\n   0.003351620759716247,\n   0.0037704040068156893,\n   0.0036149270931628294,\n   0.003451221586971801,\n   0.0027341810197788665,\n   0.003467836391638268,\n   0.002933515820274851,\n   0.0031876826685152547,\n   0.0028654103444493255,\n   0.0032154538149236204,\n   0.003152053677984916,\n   0.003234522561298644,\n   0.0030969295759721003,\n   0.002944055673660349,\n   0.0032656157261310467,\n   0.003065605367229857,\n   0.0032496131481708932,\n   0.0032832632096943975,\n   0.003379458486870933,\n   0.003232062610975244,\n   0.0031384340889623595,\n   0.0033604978218066913,\n   0.0033579455901837107]],\n [7,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.003406610031141673,\n   0.003424526198029102,\n   0.0035676746797791868,\n   0.003910166637431201,\n   0.006482005542863122,\n   0.006989091966004856,\n   0.0025221558728546964,\n   0.0,\n   0.0012593630148467266,\n   0.0016152918786345506,\n   0.001713204058747239,\n   0.0018561123960240502,\n   0.0022047310382845935,\n   0.0016937634632637236,\n   0.003723280359445815,\n   0.004939249497024532,\n   0.002726552793759576,\n   0.002937579556548715,\n   0.002941615838499287,\n   0.003420586903443794,\n   0.02109386006959819,\n   0.01644586987236983,\n   0.019469165955536688,\n   0.020093491213669715,\n   0.018466246701456964,\n   0.015665054547680985,\n   0.015826733820462287,\n   0.007545052633749167,\n   0.005313543397832356,\n   0.006739925782509627,\n   0.016333757285751836,\n   0.02181336882897742,\n   0.02704540410014209,\n   0.02330106579326494,\n   0.018019922450951156,\n   0.020897701131340415,\n   0.020450893646412168,\n   0.028772461828396583,\n   0.02461164668381594,\n   0.01680622624528465,\n   0.0030171111912892963,\n   0.002855076628438413,\n   0.004510539763872903,\n   0.01701282198650429,\n   0.021487952894698466,\n   0.023964487923184653,\n   0.022219371257061096,\n   0.004155957062754967,\n   0.002855236726784728,\n   0.0030027117363634424,\n   0.008588718186693453,\n   0.01992443023918701,\n   0.02519637706503157,\n   0.028480601373207404,\n   0.028182472602816283,\n   0.026546998652562635,\n   0.017934403800880586,\n   0.0031110439083710897,\n   0.0027695762727610335,\n   0.002700309048562653,\n   0.0027277524978185285,\n   0.008609532183618351,\n   0.01825692461356659,\n   0.011905497013289247,\n   0.00926987552929476,\n   0.0171933580502872,\n   0.018691999989812167,\n   0.02117604689235961,\n   0.022213269260902977,\n   0.01700004770747435,\n   0.01696334574797149,\n   0.022446414897176088,\n   0.016226783347650167,\n   0.010893419028899122,\n   0.006259475295987367,\n   0.0027954404258958942,\n   0.002811822435191657,\n   0.0023110841758284405,\n   0.002751510827424234,\n   0.002924014236313714,\n   0.0031225259446243507,\n   0.0032887535554853103,\n   0.003693304720081069,\n   0.0035182284239031274,\n   0.0035053157459950246,\n   0.0029297222661418187,\n   0.0033678248838809196,\n   0.0031496248374140263,\n   0.0032314511339028335,\n   0.002580730093527261,\n   0.002811013617539286,\n   0.0027536859721888564,\n   0.0027125938965477997,\n   0.002735084763909751,\n   0.0026624041869617457,\n   0.0029754267613853976,\n   0.002780837074471954,\n   0.0028146124085117723,\n   0.0028647789043031164,\n   0.002952495483638798,\n   0.0027922608265117965,\n   0.0028485249593161485,\n   0.002947514469101813,\n   0.0029725188770384483]],\n [8,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.003256642666911242,\n   0.0032760778808662576,\n   0.0033335687188918235,\n   0.0037354385515354083,\n   0.006398179793892415,\n   0.006999268508508527,\n   0.001962581594325713,\n   0.0012877487186735987,\n   0.0,\n   0.001216366530321804,\n   0.0015713010346711002,\n   0.0015425959282555095,\n   0.0015298441707267767,\n   0.0012956259716298882,\n   0.003660944696111699,\n   0.004758888973083911,\n   0.002282290933215883,\n   0.0026050277022256593,\n   0.0027429017777843533,\n   0.003255614228502842,\n   0.021563176048821967,\n   0.016926494855575246,\n   0.01986709379492407,\n   0.020576868041225632,\n   0.018981795813077195,\n   0.016009629996809244,\n   0.016187331605500416,\n   0.0077723311675950224,\n   0.005233546669481115,\n   0.006830967562741283,\n   0.016728237692959197,\n   0.022184802461858066,\n   0.027510447490310865,\n   0.023739135381075346,\n   0.018350602068659915,\n   0.02113987160609856,\n   0.020715560687245168,\n   0.029228462594013436,\n   0.02494858559407882,\n   0.0168439182763496,\n   0.0026762432151423475,\n   0.0027193750196418125,\n   0.004244365004197382,\n   0.017103526046202817,\n   0.021654202030000555,\n   0.024139813328277988,\n   0.022301185074149757,\n   0.0037517517935027845,\n   0.002713811412390865,\n   0.0027481462625745757,\n   0.008446084797798091,\n   0.02020183334449751,\n   0.025595571667658086,\n   0.028978162118064515,\n   0.02866238162714634,\n   0.02699236698445573,\n   0.018100769260413162,\n   0.002813755502641635,\n   0.002647063352497255,\n   0.002590340952813168,\n   0.002558118089664529,\n   0.008590085509734904,\n   0.018764994147473554,\n   0.01211078767648745,\n   0.009354936774619852,\n   0.017597940481373028,\n   0.0190839626737045,\n   0.021646933916521106,\n   0.02278013627224286,\n   0.0172866957694261,\n   0.01715592708772498,\n   0.022832649523542307,\n   0.01651460114665604,\n   0.011031248885656812,\n   0.0063346114512434805,\n   0.0027838468919294526,\n   0.0027650680623425676,\n   0.0021977819542454945,\n   0.0023486126509221425,\n   0.0025668598907273264,\n   0.0028789604586523417,\n   0.002990238918900496,\n   0.0034758120028141,\n   0.0033022124098165454,\n   0.003158047396200794,\n   0.0023876515037908174,\n   0.003114428737231201,\n   0.0025830806174256685,\n   0.002780144528833823,\n   0.002227241127418945,\n   0.002685528799972621,\n   0.002615012418260073,\n   0.0026261786558860606,\n   0.0026006084708845864,\n   0.002461732554418974,\n   0.0028460949633499853,\n   0.0025812694564130885,\n   0.002693915039935072,\n   0.002767534861563959,\n   0.002775508170557241,\n   0.002683132745670149,\n   0.002694670005592271,\n   0.002831740224529029,\n   0.0028029404930425745]],\n [9,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0033605750365950093,\n   0.0034851237066971497,\n   0.0035632344762244125,\n   0.0041258046213969515,\n   0.0066129265618943165,\n   0.006846374120886581,\n   0.002090663184365113,\n   0.0016314527124974946,\n   0.0012014556681333077,\n   0.0,\n   0.0013557208040890967,\n   0.0009602764151729891,\n   0.001629672264259644,\n   0.0010800802553382163,\n   0.003754079494019886,\n   0.004894398258067105,\n   0.0022987709599277552,\n   0.002582370261208871,\n   0.0027014179938215617,\n   0.0034291445119179367,\n   0.021560802514595623,\n   0.01683484936539421,\n   0.019952430155610178,\n   0.02053902686118706,\n   0.018743614768147746,\n   0.01582461903581568,\n   0.016040708637968106,\n   0.007707586309807855,\n   0.005284289800073738,\n   0.006873402838222385,\n   0.016767182789169773,\n   0.02224579915307799,\n   0.027493382254919974,\n   0.02375330266407506,\n   0.01837854346453213,\n   0.02119811118848705,\n   0.020698997816510162,\n   0.029173528449145197,\n   0.02493062495611463,\n   0.016974982271042032,\n   0.0027035022520148447,\n   0.002719439091456062,\n   0.004478720722740849,\n   0.01716133402070581,\n   0.021669930564644023,\n   0.024061848605649562,\n   0.022218748208588237,\n   0.003912779657940265,\n   0.002827286978630922,\n   0.002768030218251162,\n   0.008675741166400287,\n   0.020080057653500287,\n   0.02548257269032473,\n   0.0288452162071731,\n   0.02858436981940247,\n   0.026971818600813508,\n   0.018228824397781944,\n   0.0028605378492747337,\n   0.0025363579987976665,\n   0.002592732676277675,\n   0.0025533070758828706,\n   0.008810375236048315,\n   0.018682482814269714,\n   0.011825831179086485,\n   0.009027774281259528,\n   0.017255825975441084,\n   0.018773243686871326,\n   0.0213379967036067,\n   0.022418642020287264,\n   0.017024901448177164,\n   0.017060315415065287,\n   0.022758248188625815,\n   0.01650506638898846,\n   0.011147015468029164,\n   0.006298861839942828,\n   0.0028060299321148595,\n   0.0026367779419997593,\n   0.0022917255070723478,\n   0.002331068921964618,\n   0.002677156458280244,\n   0.002893172986465449,\n   0.0030400903199515944,\n   0.003503800483375835,\n   0.00333848863609564,\n   0.0031893596173626,\n   0.002585422615171955,\n   0.0031899584018228685,\n   0.002604326699238734,\n   0.0027722333226952666,\n   0.0023210358828227094,\n   0.0025753590957848737,\n   0.002692685906865556,\n   0.0026605625153705054,\n   0.0026507786941875615,\n   0.0025269937293748317,\n   0.0029577151867614896,\n   0.0026254945714915155,\n   0.0028288535924071772,\n   0.002815492229776183,\n   0.002899908136235211,\n   0.0026954122533744676,\n   0.002700441014121797,\n   0.002873368573231623,\n   0.002877223072222677]],\n [10,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0031592769559759407,\n   0.0032275905604601794,\n   0.0033062759191002863,\n   0.0038666841534085797,\n   0.006429924455836945,\n   0.006956539839604887,\n   0.0025105069364718805,\n   0.0017217030010496348,\n   0.0015442881774561093,\n   0.0013489502147249885,\n   0.0,\n   0.0015599951671816507,\n   0.0021065892372423246,\n   0.00166369189638538,\n   0.00375776944830982,\n   0.0050467284379846124,\n   0.0021623056099481256,\n   0.002394951702779509,\n   0.00258581373286987,\n   0.0033023966436479106,\n   0.021442272316081874,\n   0.01674526671166014,\n   0.01981128911836688,\n   0.020429753633974087,\n   0.01869254734725821,\n   0.01573257002018862,\n   0.01593717832967849,\n   0.007674721055283566,\n   0.005193912053380892,\n   0.006803896388344412,\n   0.016643511220069882,\n   0.022072427717318453,\n   0.027277348078175567,\n   0.023538282914942463,\n   0.018157188289895022,\n   0.020990961023601807,\n   0.02055512680573512,\n   0.02892719113052979,\n   0.024703339441452372,\n   0.016843489080627466,\n   0.0026519137446216813,\n   0.002656909731459311,\n   0.004380858399076146,\n   0.017080049647869276,\n   0.021592854509820424,\n   0.0240271451511809,\n   0.022189856577749023,\n   0.00386359188687884,\n   0.0027513936945028727,\n   0.0027224550402885654,\n   0.008615940025169558,\n   0.020026003218064106,\n   0.025348796834036572,\n   0.028667975072562774,\n   0.02837347698526299,\n   0.026773105878834875,\n   0.018071800599733536,\n   0.002867185620923047,\n   0.0024597032609006563,\n   0.002549993569957826,\n   0.0025138925099137694,\n   0.008735535842193779,\n   0.018562335087301936,\n   0.011926975970401014,\n   0.009190777624502204,\n   0.01727420662652153,\n   0.018741270922026744,\n   0.0212973084647287,\n   0.022434315328578425,\n   0.017109607382600298,\n   0.017073631520357496,\n   0.022675325853890517,\n   0.0164273387151926,\n   0.011000458301027673,\n   0.006355406251303074,\n   0.0028630928548926855,\n   0.0027277647438735068,\n   0.0023170683574372766,\n   0.0028556306032160405,\n   0.0029602769087321967,\n   0.0031107997014472493,\n   0.0033514808178962403,\n   0.0036253697410688836,\n   0.003486897576672449,\n   0.0034440853965568524,\n   0.003060768069429114,\n   0.0033554163501565287,\n   0.0031279798807722576,\n   0.0032362522824976943,\n   0.002671295753680958,\n   0.002615680762598035,\n   0.0026716422048137685,\n   0.002681073726894879,\n   0.002670351176665125,\n   0.0025573600696458566,\n   0.002946369976070101,\n   0.002643353302617141,\n   0.0027607393935301728,\n   0.0027356080761773006,\n   0.0028565694566123115,\n   0.0026806791682852673,\n   0.0026214089464916255,\n   0.0028083033821330278,\n   0.0027430307026993775]],\n [11,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.003566560275987584,\n   0.0036431744901951487,\n   0.003739123710897322,\n   0.004345234433234052,\n   0.006762503142392246,\n   0.007304212735772748,\n   0.0021121150934241563,\n   0.0018459367497111715,\n   0.0015003221942691848,\n   0.0009455518018718569,\n   0.001543784427894147,\n   0.0,\n   0.0017013573623039383,\n   0.0008800129126313685,\n   0.003829717078502475,\n   0.004990794361489915,\n   0.002465787515155554,\n   0.002593540299014427,\n   0.002677204791303213,\n   0.003477524322461637,\n   0.02144436238220624,\n   0.016718335420424286,\n   0.019788626495493095,\n   0.02040466099769504,\n   0.01864373322005617,\n   0.01574430889018099,\n   0.015940699008134707,\n   0.007736282946726839,\n   0.005229655037549762,\n   0.006868526922286114,\n   0.01662331663673134,\n   0.02202365293856982,\n   0.027178156783431044,\n   0.02347645948522081,\n   0.018162921966335996,\n   0.02094745034268782,\n   0.020500968772925433,\n   0.028808224367887835,\n   0.02461940034626992,\n   0.016856779859390922,\n   0.0027632043982824318,\n   0.0026381632880797803,\n   0.004497152249863585,\n   0.017044011246379834,\n   0.02151212722300731,\n   0.023954170377898085,\n   0.022225176467526676,\n   0.004030116292350551,\n   0.0029327395232651293,\n   0.002829588251150539,\n   0.008783578088732235,\n   0.019982573422136208,\n   0.02528412437177404,\n   0.028561956858594355,\n   0.028275878195615046,\n   0.02668615778943148,\n   0.01806052079011876,\n   0.002903876186287866,\n   0.0024534384123952886,\n   0.0025382184710363584,\n   0.0025320648023382623,\n   0.008813561416621067,\n   0.018432670729890622,\n   0.011859180168290831,\n   0.009255158391799446,\n   0.017194765565291342,\n   0.01861615505425894,\n   0.021103969000433563,\n   0.022184349797163206,\n   0.016997768178890017,\n   0.01697161378870088,\n   0.022462163622650612,\n   0.016302808480555823,\n   0.011022142100009244,\n   0.006399936519806691,\n   0.002902190070037062,\n   0.0026151145211814253,\n   0.002395915170513608,\n   0.0023587463780195736,\n   0.0027331844496244553,\n   0.0029239039193855623,\n   0.003125396632830324,\n   0.0035367881233120267,\n   0.0034555452918791584,\n   0.0032752878211800844,\n   0.002766876013281606,\n   0.003312842603963352,\n   0.002769742855520256,\n   0.0030132083306751616,\n   0.002551204749856957,\n   0.002695416798075797,\n   0.0028673065820432287,\n   0.0028438381461440517,\n   0.0027507222922212053,\n   0.0026325783791987063,\n   0.0031861225541024865,\n   0.0027451132304340802,\n   0.0029370763107235604,\n   0.002997910517720367,\n   0.0030693207245783482,\n   0.002871072752536788,\n   0.0028328235003340714,\n   0.0030706432821532995,\n   0.0030180479591306705]],\n [12,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.003304119221746861,\n   0.003380219412427977,\n   0.0035041096926905347,\n   0.004026720153445425,\n   0.006583179056520065,\n   0.007140677866628115,\n   0.002180771469745007,\n   0.0022378147333243976,\n   0.0015185724513088938,\n   0.001637741319196778,\n   0.002127645316871122,\n   0.0017364069386105812,\n   0.0,\n   0.0015327481486542755,\n   0.00395935167823664,\n   0.005032142752791843,\n   0.0026262830533645616,\n   0.0025830588165768275,\n   0.002610710658883982,\n   0.0033919886717443436,\n   0.021698533240933883,\n   0.01704936082597058,\n   0.02005529822510419,\n   0.020681836432502154,\n   0.018916478581998606,\n   0.015942050315333665,\n   0.016125956707897546,\n   0.007877238913073707,\n   0.0053070719929513115,\n   0.006904178528417385,\n   0.016875783887014738,\n   0.022366253300532407,\n   0.027624796166796195,\n   0.023875254287909497,\n   0.018450114338510733,\n   0.021238883408912553,\n   0.020803304985047726,\n   0.02928080363945013,\n   0.025010151838673934,\n   0.01703038937349188,\n   0.002747026938124057,\n   0.002624783099454184,\n   0.0044587302630960494,\n   0.017227159550691495,\n   0.021773751872603896,\n   0.024256320256143372,\n   0.022468270692298883,\n   0.003929390220588295,\n   0.002737100419399184,\n   0.0026974305422678246,\n   0.008721885429330535,\n   0.02024650470284898,\n   0.025670002847519052,\n   0.029030448276939895,\n   0.028759981729624302,\n   0.02712239776186345,\n   0.01829378072964204,\n   0.0028942740483767224,\n   0.002514651652636793,\n   0.002537860084750455,\n   0.0025303292609522247,\n   0.008862503685684102,\n   0.018807646361018157,\n   0.012027266453009113,\n   0.00923249644140412,\n   0.017396282972974162,\n   0.018858239301409004,\n   0.02144425227171221,\n   0.022577532934239725,\n   0.01724405577149076,\n   0.017206516532636985,\n   0.022845744817370832,\n   0.016567592455413994,\n   0.011129725383663866,\n   0.006428253800718193,\n   0.0028536573676308016,\n   0.002675500398942773,\n   0.0021284446611923922,\n   0.0017154567702820918,\n   0.0018870998959195683,\n   0.0023574253363473213,\n   0.0023965787433586614,\n   0.002985547030608197,\n   0.0028288442487746173,\n   0.0024938630776911485,\n   0.0017097917048253999,\n   0.002660769731153931,\n   0.0017458529147451616,\n   0.001986233098978257,\n   0.0016834378440117553,\n   0.002595058784076865,\n   0.0026186294766780906,\n   0.0025970972251169386,\n   0.002591413214331076,\n   0.0023948075408609585,\n   0.0029706864955306293,\n   0.0026431881041033547,\n   0.0027532462852657823,\n   0.0027276050741045863,\n   0.0028694851298004067,\n   0.0026919041021109162,\n   0.002605178195346885,\n   0.0028735366377426754,\n   0.002861470945281253]],\n [13,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.003383427273167138,\n   0.003411217951577302,\n   0.003584180511060119,\n   0.004120856946745858,\n   0.006666050565690118,\n   0.007280556129693131,\n   0.0021012035054117813,\n   0.0017099229596524864,\n   0.0012791551888366713,\n   0.0010795837268322652,\n   0.0016712735608569456,\n   0.0008933060664472674,\n   0.0015244952340525062,\n   0.0,\n   0.0038546041913773135,\n   0.004970496629634339,\n   0.0023793246577825116,\n   0.0024448180252598967,\n   0.0025080906904841166,\n   0.0033018735365530436,\n   0.021797105219891883,\n   0.016978204225891823,\n   0.020090453723659297,\n   0.02078437094986139,\n   0.01895986887232867,\n   0.01597959219318598,\n   0.016162386334643373,\n   0.007800355051129214,\n   0.005316835708824005,\n   0.006936642842180712,\n   0.016905064303314996,\n   0.022344668389036253,\n   0.027570252042146973,\n   0.023792947630968078,\n   0.01827518508793423,\n   0.021061097691758006,\n   0.020655185300555195,\n   0.029131715408633223,\n   0.02482800580161067,\n   0.016888990144720787,\n   0.002598261827620504,\n   0.002441619430071565,\n   0.004357598383128912,\n   0.017084954584458883,\n   0.02158916070641107,\n   0.024078175285492446,\n   0.02237270257442763,\n   0.0037919252067480187,\n   0.002667840324111961,\n   0.0025926159950390593,\n   0.00865273248260633,\n   0.02010827212464013,\n   0.02549985906750522,\n   0.02886918764968906,\n   0.028657595786583615,\n   0.02704470186995597,\n   0.01821002657729192,\n   0.0027415707693280145,\n   0.0022992949935730046,\n   0.0023377096389150436,\n   0.002359194262474102,\n   0.008790215780420503,\n   0.01859002939580866,\n   0.012074021417059239,\n   0.009335577909179119,\n   0.01749149412832071,\n   0.018914429610434026,\n   0.021444501654017588,\n   0.02262662960262361,\n   0.0173122776881277,\n   0.017179874789996396,\n   0.02268991553467201,\n   0.016388372778621485,\n   0.010951511084026937,\n   0.006384453872096963,\n   0.002669240058254217,\n   0.002415864836796647,\n   0.0021117128463712487,\n   0.0022429329295051985,\n   0.002602466292976844,\n   0.0028941348123581795,\n   0.0030828433816883073,\n   0.0035406300163504626,\n   0.003419580155294781,\n   0.0032597824265450997,\n   0.0025616833783919826,\n   0.003267995593114765,\n   0.002666115015832221,\n   0.0028941666554709216,\n   0.0023474272068192527,\n   0.002476435147453173,\n   0.0025842497466887697,\n   0.0025433683713876566,\n   0.002516807007651993,\n   0.0023827429483508833,\n   0.0029427975198132493,\n   0.0025666389807122614,\n   0.0026485598730300775,\n   0.002705563668101836,\n   0.002868952234183273,\n   0.002657213307740461,\n   0.00259817807287926,\n   0.0027903475995876294,\n   0.002789900857782427]],\n [14,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.004016904133363594,\n   0.003955546204671611,\n   0.003823265754868482,\n   0.00409485411376441,\n   0.004670037654339413,\n   0.006904724013989344,\n   0.004154357756058432,\n   0.0037075391455492746,\n   0.003565110393803605,\n   0.003701178150514395,\n   0.003723411151044751,\n   0.0038345477695334133,\n   0.0038843251030173604,\n   0.003802034134539557,\n   0.0,\n   0.0032383237281771015,\n   0.0038188690978337744,\n   0.0041853705366436695,\n   0.004203714234061101,\n   0.0035380182894116916,\n   0.018915253661330362,\n   0.014583228151672293,\n   0.017912626443314147,\n   0.018319159774187372,\n   0.016873217371594463,\n   0.014415551074186388,\n   0.014519603492962616,\n   0.006476403983305007,\n   0.005911952511944515,\n   0.006406845767292091,\n   0.014605979731958763,\n   0.02035017171223767,\n   0.025552033081094824,\n   0.021526592753205915,\n   0.01627827588551065,\n   0.019430100754209725,\n   0.018962840533605314,\n   0.027116698326347288,\n   0.02302923501457973,\n   0.01526693470504331,\n   0.00409330034007502,\n   0.004221488948443077,\n   0.0041882080778125235,\n   0.015567100535359254,\n   0.02024621274180428,\n   0.02273054689528169,\n   0.021073164187825077,\n   0.0045164329399058145,\n   0.0043408041290924375,\n   0.0043102630599715,\n   0.0075892927875896654,\n   0.01854778289397401,\n   0.02367110348644428,\n   0.02688758908815091,\n   0.02663212462789651,\n   0.024989526482360087,\n   0.0162236569408332,\n   0.004141399369604283,\n   0.004495454492127207,\n   0.0042106636469822585,\n   0.0042293127219417,\n   0.006573505686344317,\n   0.015904894348699853,\n   0.010300106578270341,\n   0.007818999348353438,\n   0.015514915638019124,\n   0.01692993694318475,\n   0.019374854969181073,\n   0.020544781090719104,\n   0.015273161204494649,\n   0.015100502981261444,\n   0.020495421984851714,\n   0.0144737171395953,\n   0.009280019107829728,\n   0.004578407941027134,\n   0.004022631470424813,\n   0.004558629716616809,\n   0.004272235718234043,\n   0.004441235440689195,\n   0.004599274782644365,\n   0.004726429638292079,\n   0.0047848314882373505,\n   0.0050689746500686495,\n   0.004938808572373471,\n   0.0047757063457077266,\n   0.004466218965507757,\n   0.004805604439367409,\n   0.004513334261935676,\n   0.004724527822003993,\n   0.0042931262497468425,\n   0.004469223586503571,\n   0.004375605834501315,\n   0.004435834038407975,\n   0.004329532687050707,\n   0.00433485538003109,\n   0.003946590101294714,\n   0.004102691060690184,\n   0.003969198420101799,\n   0.0041536813636898085,\n   0.004078029144585459,\n   0.004357878516530433,\n   0.004074279304540992,\n   0.0041267611437017775,\n   0.0039107804064457]],\n [15,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.004915824336174823,\n   0.005066705604739259,\n   0.004925709824768848,\n   0.004918193242980648,\n   0.004669770643526805,\n   0.0067280278647685494,\n   0.005089090883720139,\n   0.0048542754827738364,\n   0.004573922859095802,\n   0.0047625470495496905,\n   0.004935421505842412,\n   0.004931971811819635,\n   0.004872455651760338,\n   0.004838819866759927,\n   0.0031961246687089583,\n   0.0,\n   0.004082087986585076,\n   0.0049132847732554046,\n   0.005074426262056198,\n   0.004010460611572131,\n   0.01798987607040237,\n   0.013988240703118191,\n   0.01707019622030923,\n   0.018093054820601424,\n   0.01664568838227509,\n   0.014223787381798431,\n   0.014339209333859753,\n   0.005976494846624795,\n   0.00559987607294672,\n   0.005719787323836701,\n   0.013782837244502789,\n   0.019188658121249386,\n   0.024350488368534377,\n   0.02043124677291151,\n   0.014704498440743563,\n   0.017911658308620834,\n   0.017172625114642157,\n   0.0254133771027797,\n   0.021300556869699602,\n   0.013726770345439147,\n   0.0048245030836127755,\n   0.005087245038151057,\n   0.003825789153826611,\n   0.01425230587348396,\n   0.01912761294969366,\n   0.021510925152537247,\n   0.019678576733183274,\n   0.004557064722534793,\n   0.005159714073790499,\n   0.005165570838665092,\n   0.00578829482211382,\n   0.01699062345363492,\n   0.021833033617583028,\n   0.025034135367903543,\n   0.025085502418525574,\n   0.023600126429360317,\n   0.01459118603175595,\n   0.004706881047444286,\n   0.005367887514003888,\n   0.004983834047780486,\n   0.0051069231485615305,\n   0.0056098323329175,\n   0.015074077334029178,\n   0.009725663971104106,\n   0.007451457527680933,\n   0.015300904506052126,\n   0.016749560124588708,\n   0.018912710698517837,\n   0.020071937485024453,\n   0.014517851415746012,\n   0.014355975663537659,\n   0.019453392845826534,\n   0.01346170070141954,\n   0.008333475532197354,\n   0.00406483688796028,\n   0.004718418755496562,\n   0.005334748069929255,\n   0.00513522528653776,\n   0.005256221538597703,\n   0.005378900927083611,\n   0.00550183259007062,\n   0.005558137031182786,\n   0.0058347489124539525,\n   0.00573539701710954,\n   0.005591586299611477,\n   0.005263526105450112,\n   0.005671068490862273,\n   0.005399291172018069,\n   0.005513117587974222,\n   0.0051941591442400846,\n   0.005322627484160394,\n   0.005243755741464642,\n   0.005173925721343878,\n   0.005274193420046929,\n   0.005164145868509059,\n   0.004783400642987528,\n   0.004890613765109176,\n   0.004852891810001153,\n   0.005155104697333915,\n   0.004793279822540005,\n   0.005187627604867426,\n   0.004999749080784247,\n   0.004945131144119712,\n   0.004778012948011397]],\n [16,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0034016011329138975,\n   0.003499143036014883,\n   0.003564028219827709,\n   0.00384204471083749,\n   0.005761631638911416,\n   0.006702284792036706,\n   0.0033229903439523792,\n   0.00278557069235919,\n   0.002280295270383554,\n   0.0023252652136122793,\n   0.002198205076139695,\n   0.0025330477559705263,\n   0.0026434633395920285,\n   0.002407854250420926,\n   0.003918095699707945,\n   0.004243450883809255,\n   0.0,\n   0.0026090324548217283,\n   0.0028773148152757408,\n   0.002922079519860097,\n   0.021007120101988328,\n   0.016767151855042746,\n   0.019633218488351808,\n   0.020456577127799812,\n   0.018823005212475923,\n   0.015720321182581754,\n   0.015889471002432456,\n   0.007107764101986597,\n   0.004070554378649774,\n   0.005718604906699545,\n   0.01632672254998449,\n   0.021736737817959612,\n   0.027118936180783957,\n   0.023413170827291843,\n   0.01785917545499802,\n   0.020530568546397572,\n   0.02008234247303136,\n   0.028734998653749937,\n   0.024367869616243293,\n   0.01613021778500841,\n   0.0027139385358683943,\n   0.0030371796727322324,\n   0.003731819784769653,\n   0.016470588529677643,\n   0.021102682947741914,\n   0.023506670539637658,\n   0.021408879683194357,\n   0.0028968832732130484,\n   0.0029560065113975044,\n   0.0029222488008235846,\n   0.007349449173300255,\n   0.019484393689334426,\n   0.024891759979330894,\n   0.028314304010986693,\n   0.028120366700902226,\n   0.02648017515171793,\n   0.01748046230173944,\n   0.0027539810273356086,\n   0.002888357082954643,\n   0.00278009497878141,\n   0.002934808585198752,\n   0.008037139724358027,\n   0.018420375230964497,\n   0.011731667274969684,\n   0.008948631177282442,\n   0.01742376217912966,\n   0.018919710364669162,\n   0.021458539051618455,\n   0.022624115912403486,\n   0.016845679228603125,\n   0.016721539854888334,\n   0.022457848211917313,\n   0.016168562761559993,\n   0.010667609579800461,\n   0.005960301421436631,\n   0.002904754111864505,\n   0.0031321792265179317,\n   0.0027926876603897727,\n   0.003215913313893977,\n   0.003330626967748346,\n   0.0035301603104673867,\n   0.003694975785134788,\n   0.00396544947924295,\n   0.003919856450284687,\n   0.0038554706245242563,\n   0.0034143487370601037,\n   0.003897329528128892,\n   0.003548835096072675,\n   0.0036439859985263378,\n   0.0031176787853996603,\n   0.0030168383665311496,\n   0.003069828188713704,\n   0.0029123739218766265,\n   0.003065874081384296,\n   0.0029594061925687647,\n   0.003168438421982977,\n   0.0029442294043657558,\n   0.003069616520067091,\n   0.003152644019308411,\n   0.002871287639116384,\n   0.002975605568167791,\n   0.002949132315611451,\n   0.0030754314704043275,\n   0.0028625817705013393]],\n [17,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0023969488125755705,\n   0.002543507093122944,\n   0.0025565185323847225,\n   0.0032718909011405554,\n   0.00632178680913983,\n   0.0077476358303086735,\n   0.00313729377347483,\n   0.00311300052926741,\n   0.0026997385732594366,\n   0.0027094715068584326,\n   0.002525440699835931,\n   0.002763567095350862,\n   0.0026968409862767728,\n   0.0025663288891314756,\n   0.004454135907068151,\n   0.005297830253115013,\n   0.0027062553088763623,\n   0.0,\n   0.001463566668120619,\n   0.00234918930017857,\n   0.02228838945891616,\n   0.017251377081948942,\n   0.02040589852231471,\n   0.02126808686984712,\n   0.019552292756215475,\n   0.016410175844044875,\n   0.016626658967915032,\n   0.007643811814181532,\n   0.004844667791430351,\n   0.006688203148210957,\n   0.017164658110912667,\n   0.02274431950014631,\n   0.028239884649746024,\n   0.024288969118012083,\n   0.01853582529072523,\n   0.02147529754772044,\n   0.02102037050638916,\n   0.029883477435354484,\n   0.025403334140996606,\n   0.01715959779658362,\n   0.0011842247183759414,\n   0.001313821047991006,\n   0.003445390232907411,\n   0.017456785858586153,\n   0.022365065988685748,\n   0.025047944177557284,\n   0.023196409030944824,\n   0.0031492585232619093,\n   0.0016260329631855943,\n   0.0016541221961996484,\n   0.00833771789455806,\n   0.020564378489508556,\n   0.026113418243690966,\n   0.02960878527752708,\n   0.029349715863034965,\n   0.02769099907271149,\n   0.018399443830918717,\n   0.0016450176500941542,\n   0.001270951326043001,\n   0.0012364779442245127,\n   0.0011325868989673572,\n   0.008609391557238234,\n   0.019320340875912917,\n   0.01240628067824733,\n   0.009448266225381838,\n   0.018203414095989044,\n   0.0197882407705146,\n   0.022448351707443644,\n   0.023679478626537066,\n   0.018000819330809246,\n   0.017867607330908156,\n   0.023665451970937734,\n   0.01693987625938426,\n   0.0109905855283297,\n   0.006160490941416823,\n   0.0019179252737616872,\n   0.0016035338262859456,\n   0.001535410114190064,\n   0.0027368118065837113,\n   0.002634416815005967,\n   0.0028972795014950777,\n   0.003201078428239955,\n   0.003272566401893547,\n   0.003284952725557882,\n   0.003159664681324333,\n   0.003141940820166286,\n   0.0032564984459979222,\n   0.003200113656264914,\n   0.003363089679454727,\n   0.0025681167918688345,\n   0.001469674971373744,\n   0.0016376806655786207,\n   0.0015686520621667561,\n   0.0014264121871056298,\n   0.0013840018292132644,\n   0.0019987837180966118,\n   0.0014642636594080674,\n   0.001568398832368879,\n   0.001766996022433779,\n   0.0018049873959831667,\n   0.0015942809409683408,\n   0.0015696905944258723,\n   0.001723721749286608,\n   0.0017156694543769284]],\n [18,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0024702998558849207,\n   0.0024975260380787666,\n   0.002647922832557047,\n   0.0032343382897573095,\n   0.006230986187918114,\n   0.007964156062931745,\n   0.0033398900509719995,\n   0.0030801478350253216,\n   0.0028087667185781938,\n   0.002800618244861247,\n   0.0026942240089882006,\n   0.0028187376404419937,\n   0.002693244836060672,\n   0.002601387559101985,\n   0.00442037165839611,\n   0.00540641148959335,\n   0.002948986027814475,\n   0.0014461340733880335,\n   0.0,\n   0.00237718795352577,\n   0.022256776458198377,\n   0.017304324115308134,\n   0.02052470989379609,\n   0.02117834054289075,\n   0.019224973501938192,\n   0.01613560704829613,\n   0.016307933151740114,\n   0.007531043607013501,\n   0.0048773329307600375,\n   0.006538599826459047,\n   0.016981633040712638,\n   0.022824407395495787,\n   0.028307276848718563,\n   0.024382970948481065,\n   0.018682350155913442,\n   0.021677674235086177,\n   0.021240034546311407,\n   0.03003536120626168,\n   0.025580293330803815,\n   0.01732065307663562,\n   0.001613297413771968,\n   0.001316735337263686,\n   0.0035671374852207735,\n   0.017476416137686645,\n   0.02227050373155312,\n   0.024840367605199178,\n   0.02299297040859276,\n   0.0032035129986197025,\n   0.0015261068691165911,\n   0.0014323901562085975,\n   0.008492718993892593,\n   0.02066651215596733,\n   0.026235930690737767,\n   0.02971707122832297,\n   0.029437255282713334,\n   0.02775336073749749,\n   0.018574213122481927,\n   0.00173292153665968,\n   0.001184546112398866,\n   0.00123117192124354,\n   0.001270148240183918,\n   0.008512155990028447,\n   0.019032457545127068,\n   0.012185665444285978,\n   0.009276604628500287,\n   0.01779885043730094,\n   0.019341779582131704,\n   0.022049070726174198,\n   0.023247170532855348,\n   0.017706101035373664,\n   0.01758284077989847,\n   0.023407967745430223,\n   0.016851069318939055,\n   0.011042602837500878,\n   0.006061536166270551,\n   0.0017696276304717126,\n   0.0016195613227514777,\n   0.0015139735789580205,\n   0.002725684062751541,\n   0.0025740219899497816,\n   0.0028868294627053285,\n   0.0031425083888870654,\n   0.0032973815183930666,\n   0.003238203135752701,\n   0.00319786801771353,\n   0.00318970756765739,\n   0.0033018232718475464,\n   0.003277376026500628,\n   0.0034393799530510233,\n   0.0025838477577089266,\n   0.0016473101993081235,\n   0.0017898698633534043,\n   0.0017143339249670415,\n   0.0016435989631065756,\n   0.0014106532866568911,\n   0.0019203050209124703,\n   0.0016151738376390266,\n   0.0017379651406393907,\n   0.0017188202137634924,\n   0.0018125959400968842,\n   0.001737730581472926,\n   0.0017273375280748458,\n   0.0018313191743182132,\n   0.0019103984807461202]],\n [19,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.002805814520747102,\n   0.0026752550274123273,\n   0.00276410335712444,\n   0.003169160245595039,\n   0.0049270267295615485,\n   0.007540157375460849,\n   0.0040149034847806265,\n   0.003636339792511071,\n   0.0033846719016426456,\n   0.003609326222315167,\n   0.0034933646581193304,\n   0.0037172473562573885,\n   0.003552627803734083,\n   0.0034769663049827953,\n   0.003777147092169804,\n   0.0043380507690192974,\n   0.0030405740668730313,\n   0.0023566348003764303,\n   0.0024134691089643854,\n   0.0,\n   0.020991429072426432,\n   0.016531030947379975,\n   0.019702443024728362,\n   0.02056805835581984,\n   0.019027316338375382,\n   0.01613542066897897,\n   0.016316289120739395,\n   0.007153058928096107,\n   0.004849419880115951,\n   0.005967324945403091,\n   0.015985995935644884,\n   0.022024938674314484,\n   0.027664481400553262,\n   0.02352484209865893,\n   0.017559925241943535,\n   0.020412982211488892,\n   0.020017182546182687,\n   0.02910737511529696,\n   0.024415756680802383,\n   0.015901983059195744,\n   0.002187419726581471,\n   0.00253978752918028,\n   0.002355359846870505,\n   0.016087735847465992,\n   0.021098075379004703,\n   0.023812059389008926,\n   0.022252131099381442,\n   0.0026654852261962254,\n   0.0023793059728226614,\n   0.0024028345308525494,\n   0.007131246092326541,\n   0.019635511895763545,\n   0.025197522865300533,\n   0.028799551729395325,\n   0.028724649685128178,\n   0.02699999463394269,\n   0.017308608387130588,\n   0.00225346022075768,\n   0.0028197446992307097,\n   0.0024231805529487545,\n   0.0025564101057355894,\n   0.006844471478551342,\n   0.018058262184452008,\n   0.011797113780816063,\n   0.008767236752930065,\n   0.0176688358218727,\n   0.019295928578057744,\n   0.021945522311801125,\n   0.023061917471002127,\n   0.01707639307288288,\n   0.016675955694628604,\n   0.02249164426824673,\n   0.015788811748565983,\n   0.009770993990195879,\n   0.005003094047923393,\n   0.002634163059391572,\n   0.002900177494138699,\n   0.002669118220236213,\n   0.003710764229234379,\n   0.0036441353797352235,\n   0.003826752175970411,\n   0.004089391239000476,\n   0.004127416159613656,\n   0.004113334022911506,\n   0.0040193739871155045,\n   0.00396155360923919,\n   0.004100374996264135,\n   0.004076647338215783,\n   0.004215653823536445,\n   0.0034438291678523677,\n   0.0028490453907237517,\n   0.002798959225126721,\n   0.0027281039672786738,\n   0.002751402557163824,\n   0.0025890512574530053,\n   0.0024604187287673046,\n   0.0025384284662405636,\n   0.002245122424884251,\n   0.00270694928090446,\n   0.0023754687058041716,\n   0.0025726106921342925,\n   0.002496706314082484,\n   0.0026112131211541447,\n   0.0023174834850824026]],\n [20,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.009800645917664117,\n   0.00973449081521224,\n   0.009647293060807346,\n   0.009540405619454451,\n   0.008354545958577287,\n   0.009127745532646659,\n   0.0102520823734999,\n   0.010068969727309869,\n   0.010066106278149642,\n   0.010189911574747792,\n   0.010184756255681939,\n   0.010292705986503956,\n   0.010204479076533437,\n   0.010306329230066275,\n   0.009067365837906955,\n   0.008737630821676516,\n   0.009815111094436621,\n   0.010039639183814505,\n   0.010146251708496363,\n   0.00942555974109209,\n   0.0,\n   0.006159048845433971,\n   0.005223428701247534,\n   0.004653358634102669,\n   0.008786148303924029,\n   0.009443928731225555,\n   0.009474052290231343,\n   0.008618144220839974,\n   0.009308878333800296,\n   0.008906644114049924,\n   0.005108294939689289,\n   0.006114892502859321,\n   0.00831240258255093,\n   0.006956181374954761,\n   0.008716248155603297,\n   0.010043982677343789,\n   0.009870126188298174,\n   0.010799734372274949,\n   0.010811105478711051,\n   0.009043883127541643,\n   0.009871238763083783,\n   0.010114850748421432,\n   0.009161972650240895,\n   0.009973393991122658,\n   0.011591810083327233,\n   0.01213551320459332,\n   0.01076749045835193,\n   0.009633045402657612,\n   0.010120277094346495,\n   0.010127749624340248,\n   0.008570859973862482,\n   0.010648476907364753,\n   0.01129334916278247,\n   0.011131750311250643,\n   0.009436539792134126,\n   0.008185105731133206,\n   0.007405894312758252,\n   0.009818150517682242,\n   0.010276065857879008,\n   0.010098740832740604,\n   0.010148496926932765,\n   0.007617824187794905,\n   0.009814453955681167,\n   0.009782455168335933,\n   0.00913043057208731,\n   0.010344000334235852,\n   0.01169138949069877,\n   0.012497243584649232,\n   0.012024712132241523,\n   0.009866400212957135,\n   0.009616309450227468,\n   0.011897058341719507,\n   0.010571712736353659,\n   0.009511249427847856,\n   0.008758645104457657,\n   0.010017385118281472,\n   0.010281235401360243,\n   0.01019484863585376,\n   0.010326050762346497,\n   0.010323379490970203,\n   0.010361444698942759,\n   0.01036444665697813,\n   0.010336270843392814,\n   0.010324364401839129,\n   0.010314231830346495,\n   0.010312763610989428,\n   0.010347105047295543,\n   0.010277720964280519,\n   0.010339180889992756,\n   0.010212993544587956,\n   0.010214648585190831,\n   0.010081958828500218,\n   0.010126878801113227,\n   0.010102688180560105,\n   0.010177049695081673,\n   0.009869434867714307,\n   0.010010468891922022,\n   0.009994505126023795,\n   0.010101059839840684,\n   0.009907946895862831,\n   0.010082674931812018,\n   0.010039982588390815,\n   0.010061347757916526,\n   0.009908766697358792]],\n [21,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.009029010869999682,\n   0.00905072188702393,\n   0.0090647578839407,\n   0.0090027786242195,\n   0.008268807051174712,\n   0.008908386150324611,\n   0.00942624237938689,\n   0.009332329618081428,\n   0.009393340425757749,\n   0.009458428257868799,\n   0.009455318171207072,\n   0.009539238551582356,\n   0.0095317536527059,\n   0.009543357431244067,\n   0.008310494848712546,\n   0.008076679734301245,\n   0.009313056645585679,\n   0.009237776078503422,\n   0.009377827823916397,\n   0.008824077812275935,\n   0.007321800545506474,\n   0.0,\n   0.006520375652568664,\n   0.006503471291466239,\n   0.0080791140189293,\n   0.008925784994690884,\n   0.008970775919288609,\n   0.006921105922808097,\n   0.009028982162400917,\n   0.008834369221779537,\n   0.005222744159433704,\n   0.007890859195885891,\n   0.010539823534098006,\n   0.007952429476687383,\n   0.008169583067895843,\n   0.01115162820923032,\n   0.010816902524907263,\n   0.0127807701916787,\n   0.012352017572438118,\n   0.010464632223703765,\n   0.009126490661901491,\n   0.009285711191170951,\n   0.008435121232972713,\n   0.011230170067997411,\n   0.014004063443597628,\n   0.015185213840609477,\n   0.014045141071521619,\n   0.009279903917406513,\n   0.009410405249731121,\n   0.009494190469000683,\n   0.008593684090645497,\n   0.011493221425695564,\n   0.01261656556600242,\n   0.01274423239159485,\n   0.010987981219719842,\n   0.010169240353916675,\n   0.008281726829859483,\n   0.009187930757599464,\n   0.009474117772074048,\n   0.009332599011798887,\n   0.009366051446725433,\n   0.0074200517290687025,\n   0.00953737366385308,\n   0.009833312701958684,\n   0.009022683157539249,\n   0.011400184140873003,\n   0.013008580704841864,\n   0.013836536323581491,\n   0.013850617882463834,\n   0.011843457319489496,\n   0.01170148170245414,\n   0.013785156177541221,\n   0.011097163806837416,\n   0.00905574159117723,\n   0.007884680352769367,\n   0.009177982230093503,\n   0.009509285157869654,\n   0.009470004663047048,\n   0.009555373297448768,\n   0.009555613224385787,\n   0.009610027753016434,\n   0.009630439710431163,\n   0.009647283287560544,\n   0.00962512494633168,\n   0.009560762090713631,\n   0.009607542169505509,\n   0.009618645847632784,\n   0.00957663949794414,\n   0.009649744143330589,\n   0.009545914119139255,\n   0.009493062885604526,\n   0.0093929018086157,\n   0.009442936300722071,\n   0.009351633823816777,\n   0.009467636369836342,\n   0.009156866929938922,\n   0.009287627843685971,\n   0.009298633666449393,\n   0.009402917496037291,\n   0.00935581013289028,\n   0.009470715561839408,\n   0.009382500577181459,\n   0.009290414370605692,\n   0.009253623045124549]],\n [22,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.009775478271197683,\n   0.009693185873981007,\n   0.009602180640564919,\n   0.00953597721165137,\n   0.008966435987221844,\n   0.009283777169819872,\n   0.010006890972235914,\n   0.009917326209343814,\n   0.009896950589119515,\n   0.010062816889546413,\n   0.010041783312602515,\n   0.010135620894874955,\n   0.010064862896412726,\n   0.010137087918877633,\n   0.009163186267105414,\n   0.008847535422161249,\n   0.009789003370450826,\n   0.009808744380753466,\n   0.009984783964254128,\n   0.009440684889116133,\n   0.005574089635453926,\n   0.005853109494585157,\n   0.0,\n   0.0045156873704153425,\n   0.010229851696215582,\n   0.010592144670147534,\n   0.010621184821066046,\n   0.008783820432044539,\n   0.009184859995548984,\n   0.009107814889480934,\n   0.005092962062273372,\n   0.0027816819753215005,\n   0.0050538588356721665,\n   0.004137795832066257,\n   0.007910349046732846,\n   0.009841147275691528,\n   0.009364554014739842,\n   0.009164036577542159,\n   0.010310096356483178,\n   0.009768467382356117,\n   0.009650051427097045,\n   0.009842017527592704,\n   0.00890511784132735,\n   0.01078064910627257,\n   0.013387856322607495,\n   0.014607948973391644,\n   0.01363933181321277,\n   0.009766177812564673,\n   0.009990647541980808,\n   0.01000460774951396,\n   0.008708164656909071,\n   0.010841503674899364,\n   0.011011513957353843,\n   0.009960377852595707,\n   0.006710806859380323,\n   0.005176827975051434,\n   0.006081167643301964,\n   0.009662265755617714,\n   0.010038917248479605,\n   0.009882147787000571,\n   0.009878998320642679,\n   0.008199990185493637,\n   0.010681818732275021,\n   0.010488390939564987,\n   0.010021436928237537,\n   0.012082953373741708,\n   0.012973269812062945,\n   0.013728770843756977,\n   0.013801531466059738,\n   0.01194164262637524,\n   0.011721754303166498,\n   0.013523902603659429,\n   0.011458907545097477,\n   0.00961508336509189,\n   0.009276290961792435,\n   0.009820281486420224,\n   0.010053328683733624,\n   0.0099720729585015,\n   0.010085996065652596,\n   0.010105650437855409,\n   0.010132907646686676,\n   0.010143523359358596,\n   0.010144222731298003,\n   0.01012298336346817,\n   0.010106457709978258,\n   0.010137585343481963,\n   0.010135148488418925,\n   0.010100944027759545,\n   0.01016932640750675,\n   0.010084774207910487,\n   0.010060807758725395,\n   0.009894959589802393,\n   0.009949275660145964,\n   0.009825229057717126,\n   0.010020876917803248,\n   0.009771706974661365,\n   0.009793806997075785,\n   0.009881754329160526,\n   0.009942378594845895,\n   0.009861384861204091,\n   0.009964139570286747,\n   0.009903981379958448,\n   0.009885819304520508,\n   0.009844009057764806]],\n [23,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.009455063504651237,\n   0.009399075384217989,\n   0.009287083329990769,\n   0.009262557440095935,\n   0.008597626896709877,\n   0.009005696837321412,\n   0.009770087823970305,\n   0.009654746817574162,\n   0.009669066985528307,\n   0.009771064278268723,\n   0.009767861110749294,\n   0.009858306742461983,\n   0.009790527115998258,\n   0.009892329863152824,\n   0.008839567833595647,\n   0.008845735157690108,\n   0.009620954984197716,\n   0.009643270659075637,\n   0.009718333743295863,\n   0.009296403255926332,\n   0.0046840663540458505,\n   0.0055067770723422815,\n   0.004259534143944565,\n   0.0,\n   0.007371488627163094,\n   0.008360919070957084,\n   0.00833687970833637,\n   0.008033535855818516,\n   0.008972244043898292,\n   0.008778569924146771,\n   0.00468921942470221,\n   0.005738462675014638,\n   0.008004243287043805,\n   0.007082196170169709,\n   0.009650266852336293,\n   0.011361998255146225,\n   0.011015860746405199,\n   0.011771472559889704,\n   0.012203063260435831,\n   0.010644741134502289,\n   0.009480356680236546,\n   0.009669693756414723,\n   0.00903068623655347,\n   0.011308210240934763,\n   0.013299912243162241,\n   0.014169244562290058,\n   0.012934969776357965,\n   0.009608879815486823,\n   0.009751974326188143,\n   0.009773484502651556,\n   0.009180551396108187,\n   0.011549941110321014,\n   0.01241355135543392,\n   0.012074184341551988,\n   0.009502211940836905,\n   0.008107120621772134,\n   0.008362050093723605,\n   0.009497714367981313,\n   0.009801521607651801,\n   0.009686134301988641,\n   0.009701606823967496,\n   0.00825368378395443,\n   0.010517550035632574,\n   0.009918986095440117,\n   0.009169956077976785,\n   0.010358611010110689,\n   0.011952839688812713,\n   0.013037013449128741,\n   0.012943628129515983,\n   0.011228143283098888,\n   0.011184604424606828,\n   0.013406421293802515,\n   0.011464190753468122,\n   0.009957275446864627,\n   0.00889883766398077,\n   0.009595792696873884,\n   0.009837520898060517,\n   0.009762650378926502,\n   0.00986405576583452,\n   0.009872660737775069,\n   0.009913816114515424,\n   0.00990224433756109,\n   0.009905400799175063,\n   0.009889612377810319,\n   0.009878405910107222,\n   0.009903424136284516,\n   0.009926633961705627,\n   0.009830034428665044,\n   0.00991671431840797,\n   0.009828492933269616,\n   0.009817434811755362,\n   0.009674145083735392,\n   0.009723552826178114,\n   0.009616525743252584,\n   0.009788005157914894,\n   0.00947451308419679,\n   0.009611090469473194,\n   0.009668583999565142,\n   0.009697449527868383,\n   0.009610029529871075,\n   0.009737059179322128,\n   0.009670964255160303,\n   0.009678778238959929,\n   0.009597768128996072]],\n [24,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.008716466946048248,\n   0.00880326569962766,\n   0.008773716023050023,\n   0.008737015323029946,\n   0.007942230154651227,\n   0.008929912477077495,\n   0.009215617603616586,\n   0.009052705354254864,\n   0.009100324059951651,\n   0.009097658297712303,\n   0.009118409655620314,\n   0.009190096823903303,\n   0.009136324838590351,\n   0.009206854884131132,\n   0.00830687447041928,\n   0.008303057725114717,\n   0.009032093844233237,\n   0.009044985728178285,\n   0.009000774798454897,\n   0.008774319830697907,\n   0.009023381247158443,\n   0.0069795957447817275,\n   0.009845138681949106,\n   0.007520893929375382,\n   0.0,\n   0.003322743693609348,\n   0.003074471954898689,\n   0.006313666291156027,\n   0.008643078253519995,\n   0.008163257278474535,\n   0.007338944416650454,\n   0.011050942219724165,\n   0.013780612956279543,\n   0.012113392650797111,\n   0.010919246422171822,\n   0.012538137804193791,\n   0.012295828886979887,\n   0.015246781926151441,\n   0.013890283255024736,\n   0.011360383313056804,\n   0.008993931419090188,\n   0.009034236177171718,\n   0.008725532559670365,\n   0.011476776397618946,\n   0.01329260208732681,\n   0.014193905728929767,\n   0.013321098626128325,\n   0.009105465299188526,\n   0.009017446795572431,\n   0.00912741198601093,\n   0.009146751041350426,\n   0.011934177574020865,\n   0.013649123325914603,\n   0.014676614183438736,\n   0.014016133844152436,\n   0.013329370194241278,\n   0.011057631688997666,\n   0.009069559653507128,\n   0.00914200395305479,\n   0.009064073890700776,\n   0.009113909933224975,\n   0.008426123188786518,\n   0.010629062077304317,\n   0.009173739430246635,\n   0.007900654362419511,\n   0.008218718152893061,\n   0.01098910040847192,\n   0.012456080799606835,\n   0.012425805608492638,\n   0.01076552240327076,\n   0.0107911762753006,\n   0.013370445943134465,\n   0.011214173299345324,\n   0.009706820361054856,\n   0.007976520927023441,\n   0.008974749928422366,\n   0.009162723526453325,\n   0.009117261425296735,\n   0.009228791584223673,\n   0.009187221379302607,\n   0.009236448442490953,\n   0.009230541550873172,\n   0.009268123646696765,\n   0.009256469745691304,\n   0.009234938204201465,\n   0.009246492599023982,\n   0.009297279558893173,\n   0.009198888622731032,\n   0.009223165283479247,\n   0.009183062471342571,\n   0.009151332038656744,\n   0.009139605064535447,\n   0.009087911363398487,\n   0.009056140943457478,\n   0.009140548062868705,\n   0.008775855904139703,\n   0.009049690367160879,\n   0.00902899386534082,\n   0.009003094264437296,\n   0.008981605901265382,\n   0.009087961024403863,\n   0.009044690496740435,\n   0.00898657560134206,\n   0.008984652072151442]],\n [25,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.008156749875381569,\n   0.008276352277986085,\n   0.008198780501055344,\n   0.008149493380502975,\n   0.0074708652179083165,\n   0.008732686167470851,\n   0.008638457578981828,\n   0.008511943735402431,\n   0.008507421216764692,\n   0.008513470108208167,\n   0.00850643062073191,\n   0.00860216739639575,\n   0.008534390205054428,\n   0.008600797864827574,\n   0.0078662560023188,\n   0.007864092799647447,\n   0.008360995206114672,\n   0.008414348786508038,\n   0.008373297763773265,\n   0.008247328537855947,\n   0.010750299391006845,\n   0.008546927773929127,\n   0.011298830276213773,\n   0.00945508340742375,\n   0.0036829338897757676,\n   0.0,\n   0.0013398643905850438,\n   0.00577956839757843,\n   0.007913673770136529,\n   0.007477252588239899,\n   0.008527804423293846,\n   0.012559908071045288,\n   0.015742078206001202,\n   0.013953262993790997,\n   0.011978328924634464,\n   0.013562442028883213,\n   0.013355846250853178,\n   0.017161305705339684,\n   0.015263790525572652,\n   0.011899377099192072,\n   0.008401838593265305,\n   0.00842324620698867,\n   0.00823679804873037,\n   0.011996506663610166,\n   0.014020384605032032,\n   0.01501753073102048,\n   0.013890408628616378,\n   0.008481399838056052,\n   0.008375172782518883,\n   0.00850670293858447,\n   0.008901958173192698,\n   0.012880274679662851,\n   0.015144490179179366,\n   0.01658993861713349,\n   0.01604795267651839,\n   0.015245180976706432,\n   0.01202978051930109,\n   0.0084943921118349,\n   0.008506110983984976,\n   0.008453608389169198,\n   0.008517410445515272,\n   0.0083765358965178,\n   0.011640235188441398,\n   0.009291279082912229,\n   0.007769952637918388,\n   0.0089628551875222,\n   0.011679098508248699,\n   0.013214699015513231,\n   0.013410391924576747,\n   0.011181035091192212,\n   0.011180162661004583,\n   0.014233807885698944,\n   0.011602801535898046,\n   0.009721265791955655,\n   0.007715326671606913,\n   0.008382034955717479,\n   0.008552986082108105,\n   0.008498478656710386,\n   0.008624385968012802,\n   0.008562123162567478,\n   0.008623773973076789,\n   0.008629129080682271,\n   0.008661980166040058,\n   0.008677766581253552,\n   0.008637721919716318,\n   0.008647329317149339,\n   0.008712632217310367,\n   0.008622270455812788,\n   0.008640659367687731,\n   0.00859670587977465,\n   0.008547005085667771,\n   0.008536203091510245,\n   0.008484323425809636,\n   0.008457043256235308,\n   0.008527921161518308,\n   0.008161544685794284,\n   0.008446710598721284,\n   0.008423894900796314,\n   0.008376094589382335,\n   0.008355788004652887,\n   0.008466571828979788,\n   0.008436222761457321,\n   0.008403507483066548,\n   0.008391754118773907]],\n [26,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.008187631099945528,\n   0.008303748694334137,\n   0.008250590147209394,\n   0.008178091788084776,\n   0.007408540118371535,\n   0.008755155257192278,\n   0.008702267003085257,\n   0.008556691172833576,\n   0.00855873601643133,\n   0.008586469449988563,\n   0.008573869121830687,\n   0.008665814257187382,\n   0.008589572235904612,\n   0.008655581692482105,\n   0.007883322804972188,\n   0.007888170870250281,\n   0.008408600611523265,\n   0.008482619588738229,\n   0.008420306028147076,\n   0.008297974996719701,\n   0.010730534678549817,\n   0.008546953633388952,\n   0.011273019909128901,\n   0.009380642960193327,\n   0.0033906685908904853,\n   0.0013331486332970276,\n   0.0,\n   0.005673633878617554,\n   0.007899965688414163,\n   0.007450690277314265,\n   0.008432823997685841,\n   0.012480492065129129,\n   0.01566793826575671,\n   0.013889276289606175,\n   0.011928002729133072,\n   0.013534533332712616,\n   0.013332000017420128,\n   0.01709264756006634,\n   0.015236114251350418,\n   0.011915555018739582,\n   0.008482555567002788,\n   0.008484724916408668,\n   0.00827816302875661,\n   0.011989567811640166,\n   0.014008722582228036,\n   0.015059908041898674,\n   0.013957390861864068,\n   0.008540177617312088,\n   0.00842678809916206,\n   0.008576681939831562,\n   0.008909933976232671,\n   0.012825940578428723,\n   0.01508822489251303,\n   0.01652047861332839,\n   0.015967439077474277,\n   0.015165883167173742,\n   0.011984394201342907,\n   0.008566679801880759,\n   0.008565876040747405,\n   0.008504334777099184,\n   0.008569104761206791,\n   0.008391346493889245,\n   0.011429038924311758,\n   0.009178624263760664,\n   0.00773669085550509,\n   0.008638668940189618,\n   0.011331495907836785,\n   0.012946566445706433,\n   0.01322432658682371,\n   0.011188096339458933,\n   0.011147975145694766,\n   0.014098739894214606,\n   0.011576695660529662,\n   0.009744897412719115,\n   0.007728295760236234,\n   0.00841469437092515,\n   0.00860973508331897,\n   0.008558031611535689,\n   0.008683721351774367,\n   0.00861746284550263,\n   0.008681584270455659,\n   0.008678226027169562,\n   0.008724096477894872,\n   0.008735863307129952,\n   0.008702114967499628,\n   0.008697444361395376,\n   0.00877299172607059,\n   0.008677226121221765,\n   0.008699855545557727,\n   0.00865559930237624,\n   0.008602965753213903,\n   0.0085884710807565,\n   0.00853360669045353,\n   0.008502127868102416,\n   0.008588433827912557,\n   0.0082031032249391,\n   0.008501765564082282,\n   0.008480135045233756,\n   0.008423298536246742,\n   0.00839759605341127,\n   0.008528910226425393,\n   0.00848465683285912,\n   0.008443052329768897,\n   0.008436405879731395]],\n [27,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.005904792015268602,\n   0.006146272888483075,\n   0.006167521235295471,\n   0.006080732525753329,\n   0.005507083346654199,\n   0.00755649364012342,\n   0.006730500185822554,\n   0.006374339371342315,\n   0.006421611285990098,\n   0.006447150730085271,\n   0.006451881254778156,\n   0.0065719266620068145,\n   0.0065565958262934505,\n   0.00652774973165885,\n   0.00549473602884391,\n   0.005137549300907094,\n   0.005877675972929377,\n   0.006093872130527897,\n   0.006076345559647881,\n   0.005684612699333525,\n   0.015253085022292459,\n   0.010304221452909837,\n   0.014568307685628402,\n   0.014125185378124714,\n   0.010880648471637888,\n   0.008986104876368493,\n   0.008865835229181685,\n   0.0,\n   0.0052357821028159906,\n   0.00503429385377796,\n   0.01062256546915293,\n   0.01645474749871646,\n   0.021259968111133832,\n   0.01798478707382732,\n   0.013748854260609341,\n   0.016786463861076524,\n   0.01625993224930994,\n   0.023052137917326302,\n   0.019812790543531886,\n   0.013817012122344112,\n   0.0060955804710916195,\n   0.006165472388690599,\n   0.005639333508391902,\n   0.014043352577711797,\n   0.018168366775103046,\n   0.020211403145434167,\n   0.018463006079283712,\n   0.006222225391334787,\n   0.006140811090631842,\n   0.006436923202012293,\n   0.00712532106614562,\n   0.015617364476434982,\n   0.019705026367244426,\n   0.02223654232021875,\n   0.02176213372540405,\n   0.020497027142813238,\n   0.013879681025257488,\n   0.006190178007627785,\n   0.0062374971251851225,\n   0.006067165788382624,\n   0.006230383769368261,\n   0.006773874019590113,\n   0.013461245289762882,\n   0.009419350631615536,\n   0.007360775147777335,\n   0.012930854609245562,\n   0.015308228175606876,\n   0.017410700371021673,\n   0.01816583575816857,\n   0.014009904578329627,\n   0.014003097115571184,\n   0.018325492841980272,\n   0.01322944403970548,\n   0.009123933852438981,\n   0.005134660699199526,\n   0.00575511902002519,\n   0.006329039478941145,\n   0.0063028414966485365,\n   0.006519197516198746,\n   0.006469720490650461,\n   0.006591687397652412,\n   0.006605669390854436,\n   0.0067525018419479525,\n   0.006769895805943708,\n   0.0066731660580453085,\n   0.0066819015507715756,\n   0.00682892594645777,\n   0.006743412900672537,\n   0.0068131646146535165,\n   0.006583317165410147,\n   0.006392923026074183,\n   0.006382220350742134,\n   0.006252008790545272,\n   0.006222408505521008,\n   0.006368290669587991,\n   0.005850131442442188,\n   0.00617583517263087,\n   0.0061939356196888205,\n   0.006267858516579918,\n   0.006086484515742336,\n   0.0063374090078105235,\n   0.0062150510712194835,\n   0.006095916105280167,\n   0.006085608385968679]],\n [28,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.00468738022905381,\n   0.004817345611673594,\n   0.004729480995485546,\n   0.004700337785786481,\n   0.005576574825177528,\n   0.007096596973094528,\n   0.005101077443517155,\n   0.0048605214983714826,\n   0.004681818204506626,\n   0.004785879754054943,\n   0.0047276365996293205,\n   0.00481015569804437,\n   0.004782831741524187,\n   0.00481757066523495,\n   0.00543087200629128,\n   0.005212110297546643,\n   0.0036446172306323073,\n   0.004181894583459307,\n   0.004260842020103822,\n   0.004172771418639928,\n   0.01783885667122484,\n   0.014554731941793282,\n   0.016493921586570207,\n   0.01708103670940383,\n   0.016127510356795435,\n   0.013322322627162802,\n   0.013366240832989136,\n   0.005669010908565542,\n   0.0,\n   0.0030727284982265206,\n   0.013219131415620245,\n   0.018198768262263593,\n   0.023303836408478426,\n   0.02042461579831665,\n   0.016403626926973166,\n   0.018871896737567794,\n   0.018377803839596644,\n   0.02568548910121124,\n   0.022232745199233565,\n   0.015251310664129363,\n   0.004252826780201318,\n   0.00447103591264584,\n   0.004543005647696337,\n   0.015590892789178372,\n   0.019856690758531585,\n   0.022027242520676452,\n   0.019982678128902802,\n   0.004414606374826562,\n   0.004330763689094686,\n   0.004514264212623726,\n   0.007075873042561915,\n   0.0177781096358664,\n   0.02250273911189826,\n   0.025231776687491336,\n   0.024458155640811642,\n   0.022765229182050938,\n   0.015504081907875215,\n   0.004294106433869511,\n   0.004244157493706521,\n   0.004180918050067706,\n   0.004329388798838122,\n   0.007814493178454875,\n   0.016865375489844556,\n   0.010951634304034608,\n   0.008655748686286633,\n   0.01597747155654059,\n   0.01747139572430474,\n   0.019761343221795916,\n   0.02067653385948869,\n   0.015662137437186616,\n   0.01574326948344989,\n   0.020868361788521184,\n   0.015226610315905238,\n   0.010441708151381054,\n   0.00646763857257613,\n   0.004128248510136971,\n   0.004486941431297833,\n   0.004356414315005896,\n   0.004765925923075369,\n   0.0046907263517835885,\n   0.004845258087556992,\n   0.004909868347572284,\n   0.005036064528611723,\n   0.005139218789727429,\n   0.005059584370071748,\n   0.005004663440141009,\n   0.005213158432384531,\n   0.005068617393739565,\n   0.00519221004429118,\n   0.004879931051167357,\n   0.00452462568441008,\n   0.00450104659605867,\n   0.0043665700843269145,\n   0.004308219643523835,\n   0.004534085319364219,\n   0.004373672434330614,\n   0.0043019376487817606,\n   0.0045674820045614245,\n   0.004565334599461436,\n   0.00418834117433649,\n   0.004365166952694629,\n   0.004325042002168573,\n   0.004482119320578123,\n   0.004313360881703814]],\n [29,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.005446379171889045,\n   0.005511331045903735,\n   0.0054923210023299605,\n   0.00520368103460129,\n   0.004884447502464083,\n   0.007004672087222463,\n   0.0062633574920792,\n   0.005870201124000132,\n   0.005818350748448134,\n   0.00592715362876429,\n   0.005896664471747963,\n   0.006015184143684509,\n   0.0059243589922258495,\n   0.005984438626192947,\n   0.00560379359502091,\n   0.005068906647631771,\n   0.004875146672549517,\n   0.005496899104035672,\n   0.005438723990255926,\n   0.004888928937784716,\n   0.01625110857712128,\n   0.013559391271907703,\n   0.015572732035939748,\n   0.015912417007349335,\n   0.014503125303085928,\n   0.011985139296478512,\n   0.012002723947321048,\n   0.005189954147004446,\n   0.002925657068783958,\n   0.0,\n   0.011727755954807547,\n   0.017120920595956997,\n   0.022074544642512326,\n   0.019355714837752246,\n   0.015326908250069363,\n   0.01766663403446615,\n   0.017073285552729297,\n   0.0242343006643619,\n   0.02085979626664618,\n   0.014255454274943069,\n   0.005513840835336433,\n   0.005743725744463686,\n   0.005215003250958087,\n   0.014235552483973448,\n   0.018371665596462996,\n   0.020458143878828935,\n   0.018892977374862254,\n   0.005303136732208281,\n   0.005395142138907959,\n   0.0055979656899088895,\n   0.0066040287134431054,\n   0.016138937858659476,\n   0.0207161310015296,\n   0.023521035370973508,\n   0.023031038476349797,\n   0.021427633634055407,\n   0.01439083054497068,\n   0.005569790088183515,\n   0.005612448838924045,\n   0.005469392836836297,\n   0.005613539874032423,\n   0.007276821083383793,\n   0.014859339387753486,\n   0.009458919492482905,\n   0.007494530329431676,\n   0.014152542733706289,\n   0.01561782023072424,\n   0.017780594384631154,\n   0.018747184897295197,\n   0.014058208288896791,\n   0.014261771054898651,\n   0.01882765460605189,\n   0.013364526403099843,\n   0.009093987960413705,\n   0.005801849167034725,\n   0.0051440361447538056,\n   0.005755148607692542,\n   0.0055340127048247555,\n   0.005979757592512169,\n   0.005909416409440052,\n   0.005991450190059076,\n   0.006033332737223705,\n   0.006192499272626584,\n   0.006256694191188379,\n   0.00614515753461621,\n   0.006099118084533852,\n   0.006294411300818071,\n   0.0061558254799873036,\n   0.006220894859628759,\n   0.0059829641385103416,\n   0.00573734707417846,\n   0.005702230595359256,\n   0.005536654088923332,\n   0.005510976333609561,\n   0.005703809366353701,\n   0.0053062145655560855,\n   0.005435099116645799,\n   0.005520544270705487,\n   0.0055375146863419576,\n   0.005157459758526344,\n   0.005407487827591696,\n   0.005355352334193872,\n   0.005353010890556269,\n   0.005211365111300117]],\n [30,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.009081010551879203,\n   0.009028123053835286,\n   0.009033202809492848,\n   0.00879672449329545,\n   0.0077996638805883515,\n   0.008811763258435914,\n   0.009596710406002563,\n   0.009409344268046174,\n   0.009424173219611556,\n   0.00956334622551577,\n   0.009540454665185116,\n   0.009628938067420168,\n   0.009577864823515544,\n   0.00964642305638011,\n   0.00844975173167299,\n   0.008078829336556745,\n   0.009206021827710902,\n   0.009330799577587425,\n   0.009342586049860803,\n   0.008662617316694116,\n   0.006164817873797664,\n   0.005301988640149538,\n   0.005759654737600666,\n   0.005621967466533012,\n   0.00862396742459058,\n   0.009040941515083499,\n   0.008985282534432867,\n   0.007243188195556491,\n   0.008324871614703166,\n   0.007756937889503575,\n   0.0,\n   0.006481374405590642,\n   0.009984964225438528,\n   0.008205383662574022,\n   0.009211818176856545,\n   0.01151556366786167,\n   0.011058320254901602,\n   0.013051463906111522,\n   0.01270539773579942,\n   0.010706558970454638,\n   0.009175297889559456,\n   0.009381721789191298,\n   0.008174083421006433,\n   0.011146349432109728,\n   0.014029085696170054,\n   0.015111352017144404,\n   0.014023179666217245,\n   0.0091593665247375,\n   0.009379113819770687,\n   0.00945101035930722,\n   0.008309508165519335,\n   0.011848276046519305,\n   0.013135862805551509,\n   0.013282110168301135,\n   0.011017636353523002,\n   0.009563610507893854,\n   0.007926609412246207,\n   0.00919630372820222,\n   0.009533759169423837,\n   0.009374027210616361,\n   0.009419390011299239,\n   0.006988790735627815,\n   0.01002888993241688,\n   0.009911362264921902,\n   0.008919288173172429,\n   0.011173903610170326,\n   0.012980039134522545,\n   0.014196585011445492,\n   0.014238647925763985,\n   0.011944991528148676,\n   0.01175860544618276,\n   0.014207100324819229,\n   0.011382714949068543,\n   0.009038553772490382,\n   0.008169324652430681,\n   0.009237250180111121,\n   0.009597821495237371,\n   0.009478390919691621,\n   0.009643033393749473,\n   0.009628154697860623,\n   0.009671534375670825,\n   0.009685651474604469,\n   0.009712531725966157,\n   0.009700138970522243,\n   0.009654007333330793,\n   0.009679435703269783,\n   0.009724083202798538,\n   0.009634040452939899,\n   0.009721936961394447,\n   0.009627263565725233,\n   0.009579778746961547,\n   0.009445908137392376,\n   0.009474441767014325,\n   0.009372796028490546,\n   0.009529025051078312,\n   0.009122499205666903,\n   0.009296775869944528,\n   0.00937050965398855,\n   0.009412759337726381,\n   0.009263975451876481,\n   0.00944488290162874,\n   0.009390883005411408,\n   0.00932698903477509,\n   0.009244238182853326]],\n [31,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.009992155240111609,\n   0.009941768058954841,\n   0.009876092349526477,\n   0.009755441762147293,\n   0.009183964369760968,\n   0.009393565598324294,\n   0.01022178648556854,\n   0.010179441696433528,\n   0.010124570082853794,\n   0.010278405508609416,\n   0.010249488158273251,\n   0.010334227699373567,\n   0.010283144603202059,\n   0.010328835171749467,\n   0.0095369452395687,\n   0.009111342388647048,\n   0.009928766801513682,\n   0.010015776083147887,\n   0.010172205397963301,\n   0.009668344007960657,\n   0.0059780710023569885,\n   0.006489216898257941,\n   0.002548363883272746,\n   0.005573285481973742,\n   0.010519637457143525,\n   0.010786755741882651,\n   0.010772546208389069,\n   0.009089071733165595,\n   0.009284201873189695,\n   0.009173402781682128,\n   0.0052504323304174575,\n   0.0,\n   0.0035212295662266162,\n   0.003436266072230608,\n   0.0075591780798368894,\n   0.009214594402242416,\n   0.008694581385945406,\n   0.007831887460155609,\n   0.009369955076954348,\n   0.009476464635281581,\n   0.009898891069327332,\n   0.01008697922988778,\n   0.00909633210788388,\n   0.010394027530145098,\n   0.012819591694750214,\n   0.013854591135648449,\n   0.012931760925026802,\n   0.00991835324170234,\n   0.010191301231950896,\n   0.010199567748071525,\n   0.008651581651038505,\n   0.010148844862172135,\n   0.009945310730245334,\n   0.008597602281706383,\n   0.005153399983640663,\n   0.003543301015557141,\n   0.005632116238301565,\n   0.009898904668777178,\n   0.010251803094891498,\n   0.010119930886738376,\n   0.010117637841511118,\n   0.008417781891422296,\n   0.010399299051822828,\n   0.010593248202006139,\n   0.010201561468230218,\n   0.012163876835124173,\n   0.012887619893398768,\n   0.013478325585711319,\n   0.013684199223047012,\n   0.012080865116611699,\n   0.011808436481007958,\n   0.01303284583141744,\n   0.011167669299867983,\n   0.009567427653246563,\n   0.009572502731884074,\n   0.010057101200174823,\n   0.010280609818894232,\n   0.010201061205695023,\n   0.010304243133527612,\n   0.010321762808738562,\n   0.01033282199939035,\n   0.01035536050448961,\n   0.010357779363546196,\n   0.010346462403865431,\n   0.010320281647574358,\n   0.010332068012265109,\n   0.010348487062272019,\n   0.010298550559954545,\n   0.010363011374869082,\n   0.010318028267972982,\n   0.010273150938959407,\n   0.010130058375196732,\n   0.010178956235467152,\n   0.010069331743474762,\n   0.010254391943052776,\n   0.010021781296328294,\n   0.010026454167500044,\n   0.010129042175608085,\n   0.010178167642897262,\n   0.01008429849472675,\n   0.010190679387021824,\n   0.010130771096399538,\n   0.010088718198932605,\n   0.010053671733136657]],\n [32,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.010287650559941106,\n   0.01022936021472435,\n   0.010174543029662935,\n   0.01012251876759485,\n   0.009710636969068447,\n   0.009695233429945225,\n   0.010421194628000298,\n   0.01041945678471433,\n   0.010364994260755864,\n   0.010487121326577002,\n   0.010456939772143795,\n   0.01052831954364632,\n   0.010485331667009599,\n   0.01052127944995792,\n   0.009885919237278003,\n   0.009545437179345457,\n   0.010226428323082886,\n   0.01026656033915932,\n   0.010415115465846999,\n   0.010025598456280777,\n   0.006708867228251888,\n   0.007155693372873849,\n   0.003822323656781657,\n   0.006417803195436062,\n   0.010829798747849168,\n   0.011161352793726194,\n   0.011164747230644255,\n   0.00969485468074276,\n   0.009814775935239793,\n   0.009764398370365433,\n   0.006677668494296596,\n   0.002906997953641442,\n   0.0,\n   0.0027007613575148787,\n   0.007182753876480839,\n   0.008321738753908804,\n   0.007901879688693946,\n   0.005603760138495801,\n   0.00799815572577372,\n   0.00908744317033768,\n   0.010166077471529852,\n   0.010317957830338712,\n   0.009522868789491289,\n   0.009915540312643424,\n   0.01187866743902299,\n   0.012830961745643538,\n   0.012290657996773792,\n   0.010212605102191711,\n   0.010441083088056604,\n   0.01042551981926659,\n   0.009044209371747025,\n   0.009392433573023917,\n   0.008522088755971527,\n   0.006596990861188821,\n   0.0027429407832297113,\n   0.0014879010759890142,\n   0.005661571022355705,\n   0.010169530271339844,\n   0.010468221956322545,\n   0.01035909318358046,\n   0.010346012407130636,\n   0.008987005496631582,\n   0.01008217906582139,\n   0.010567977048651924,\n   0.010430480303485708,\n   0.011898092178821347,\n   0.012264210321566528,\n   0.012621450587002394,\n   0.012795160881543312,\n   0.011694913747327966,\n   0.011488979213855407,\n   0.012101953637052416,\n   0.010795628304751528,\n   0.009636796947062614,\n   0.009919857126149356,\n   0.010318211482900349,\n   0.010482091413769615,\n   0.010422420675932733,\n   0.0104996559868495,\n   0.010518959555805143,\n   0.010526915076655027,\n   0.01053897393820135,\n   0.01053685116682254,\n   0.010521222445825415,\n   0.010505179049256646,\n   0.010529587684177527,\n   0.010520765051138801,\n   0.010495517673822573,\n   0.01054358994294196,\n   0.010511687067039041,\n   0.010488570585170026,\n   0.0103700709931146,\n   0.01040750841756408,\n   0.010315230228642917,\n   0.010463243027393722,\n   0.010317137925683204,\n   0.010289928875214457,\n   0.010370917913600975,\n   0.010412051180162587,\n   0.010360268778549842,\n   0.010427798084342816,\n   0.010375760888006765,\n   0.010336726296333861,\n   0.010330127102729838]],\n [33,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.010228084634414563,\n   0.010166115765869146,\n   0.010120631909314231,\n   0.010080892881378796,\n   0.009525270135597452,\n   0.009761230262939104,\n   0.010456127384732323,\n   0.010418440849611802,\n   0.010380341696497012,\n   0.01051544039456231,\n   0.010472553335293934,\n   0.010554726895777886,\n   0.010517352678432302,\n   0.010537835371812786,\n   0.009665898563815912,\n   0.009295191866924615,\n   0.010246768035741951,\n   0.010248173505037766,\n   0.010411851354143771,\n   0.00989440838067524,\n   0.006515816828916326,\n   0.0062660455925011675,\n   0.003632024341340053,\n   0.006590364089578785,\n   0.011048237133716231,\n   0.011481691969328505,\n   0.011486613331813673,\n   0.009518298857060924,\n   0.009983485780759147,\n   0.009936611093342117,\n   0.00636872615995341,\n   0.0032923993840197467,\n   0.0031344514865934794,\n   0.0,\n   0.005872011698560384,\n   0.007754796875522458,\n   0.007380687097345146,\n   0.005556394473451237,\n   0.007519607492528227,\n   0.008637937973688385,\n   0.010136291644932842,\n   0.01028821019912915,\n   0.009314844800732275,\n   0.009700611435797153,\n   0.012092904713036036,\n   0.013311429606850134,\n   0.012841471918576238,\n   0.010167114654216939,\n   0.010450822347391536,\n   0.010434992365430015,\n   0.00879344521970935,\n   0.00936922961692996,\n   0.008531645008492336,\n   0.006711881822493262,\n   0.003796399224563095,\n   0.0030993428199375273,\n   0.004857459259109889,\n   0.010125103130366516,\n   0.010495564595573117,\n   0.01035216268741992,\n   0.010349037572513787,\n   0.008421054157928085,\n   0.009584559736303492,\n   0.010661118764599528,\n   0.01047688518598383,\n   0.012244604096057833,\n   0.012754591275128705,\n   0.013146306579575415,\n   0.013321188294696857,\n   0.011962187320593724,\n   0.01160191554380894,\n   0.012208618698884701,\n   0.010594690117263349,\n   0.009178168936117288,\n   0.00963355854307245,\n   0.010312559103157435,\n   0.010507826636782992,\n   0.0104503266260371,\n   0.010544906973243779,\n   0.010565237080196842,\n   0.010577821415040772,\n   0.01059973747424579,\n   0.010589281983135714,\n   0.010569001468380275,\n   0.01053972640507609,\n   0.010577590203218341,\n   0.0105592052679988,\n   0.010538874074313111,\n   0.010608653002624598,\n   0.01054224485578606,\n   0.010515263351958716,\n   0.010392082563234402,\n   0.010439818075401142,\n   0.010344380867067996,\n   0.010481796333916903,\n   0.010313595710766017,\n   0.01030012216545955,\n   0.010342981898582737,\n   0.010429698519676248,\n   0.010370660688800947,\n   0.010464427999100016,\n   0.010385911089114058,\n   0.010338508121206989,\n   0.010314810590669481]],\n [34,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.009789263232748813,\n   0.009770389342568879,\n   0.009769754245844425,\n   0.0097943633763628,\n   0.008886370012754616,\n   0.009664573927688455,\n   0.010135667911429544,\n   0.010048508755702823,\n   0.010007343879957798,\n   0.010146968368881133,\n   0.010075071873235891,\n   0.010184081586170159,\n   0.010136295125161275,\n   0.010094543835391172,\n   0.00911584845111871,\n   0.008343253866792308,\n   0.009747872237054457,\n   0.00975373759563428,\n   0.009949347485008935,\n   0.009211015866110311,\n   0.010182380208508585,\n   0.00802814800681895,\n   0.0086595852759999,\n   0.011199600524080384,\n   0.01242057245837098,\n   0.01229272311322054,\n   0.012302740623976557,\n   0.009074909403071865,\n   0.00999976846959194,\n   0.009813081104760186,\n   0.008917041625272864,\n   0.009032792995391297,\n   0.01039652207223352,\n   0.007323331028690214,\n   0.0,\n   0.004702515722596036,\n   0.004330668184299133,\n   0.007450879994964775,\n   0.0052856123125279144,\n   0.006257466481615864,\n   0.009693393142283303,\n   0.009771812087730803,\n   0.008466003482543028,\n   0.007487700878380737,\n   0.010996957346727,\n   0.013257804654570816,\n   0.01392913018194712,\n   0.00953527444197272,\n   0.009975541886685854,\n   0.009976825393037599,\n   0.0072773388400965274,\n   0.007393680540483309,\n   0.006993439187975608,\n   0.007397496283143078,\n   0.009207730107618793,\n   0.009568580178398324,\n   0.004354261263686033,\n   0.00966897272001737,\n   0.010095915253562628,\n   0.009888899674640168,\n   0.009916455119676872,\n   0.007364465213118936,\n   0.008667276690010892,\n   0.010367844181317995,\n   0.010164013688804815,\n   0.012834340039905988,\n   0.013356329836183095,\n   0.013828095821121416,\n   0.014331378093097837,\n   0.012154557539608828,\n   0.011501786181072185,\n   0.011597729527386767,\n   0.009067555844550887,\n   0.00711753204396943,\n   0.00869278211862741,\n   0.009861250561794705,\n   0.010053490416713416,\n   0.010002101860161428,\n   0.010182422120733425,\n   0.010175653528020068,\n   0.010188694046582262,\n   0.010240639104517635,\n   0.010225115447526172,\n   0.010201695363530093,\n   0.010149336239797172,\n   0.010202083510354861,\n   0.010168353660682646,\n   0.010195830105331956,\n   0.010255166102999988,\n   0.010147492058779215,\n   0.010110771919399816,\n   0.010050059090677176,\n   0.010007886475955984,\n   0.010007866948505115,\n   0.010039418376587122,\n   0.009918061230468638,\n   0.00992213162173214,\n   0.009817060007350272,\n   0.009998122896826634,\n   0.00994296679657834,\n   0.010060262710520199,\n   0.009938115317232616,\n   0.009866260664922038,\n   0.009878181750156504]],\n [35,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.010178017179994935,\n   0.010116806750277294,\n   0.010117072952791755,\n   0.010168973669060426,\n   0.00918385678620583,\n   0.009920866721003568,\n   0.010424073146294788,\n   0.01036940767257062,\n   0.010258351803502668,\n   0.010414276888469005,\n   0.01036426754990145,\n   0.010451390143891858,\n   0.010382898378850482,\n   0.010351723289785595,\n   0.00968212047146111,\n   0.009043317449579832,\n   0.009971400003290491,\n   0.01005553235467739,\n   0.010272650546906351,\n   0.0095279191333048,\n   0.010440767284756172,\n   0.009751254626289256,\n   0.009586363988289716,\n   0.011733421316208732,\n   0.012690791879204273,\n   0.012385013871823867,\n   0.012421789396720551,\n   0.009859201599803264,\n   0.010236991681611454,\n   0.010064944419642691,\n   0.00991898823536426,\n   0.009797842238731867,\n   0.01071810260227189,\n   0.008605951964766993,\n   0.004184436617533703,\n   0.0,\n   0.002571681662736655,\n   0.006780548334733337,\n   0.002835880095970134,\n   0.004146467730741044,\n   0.009940023055190601,\n   0.010087860577401825,\n   0.00888537558605318,\n   0.005173475900824235,\n   0.007746434891920579,\n   0.010303118538408833,\n   0.01240994524840912,\n   0.009612944647214931,\n   0.010209509582199655,\n   0.010174858810124345,\n   0.007344911284441806,\n   0.005659744416115039,\n   0.005066263096494504,\n   0.006509493873224059,\n   0.009463985191604834,\n   0.009906372975337622,\n   0.004531631168200112,\n   0.009941236766393316,\n   0.01038759734713623,\n   0.010193405258627771,\n   0.010217632470407322,\n   0.007862663977333356,\n   0.00930268047698679,\n   0.010392135958705903,\n   0.010198159645583054,\n   0.012395240710796434,\n   0.012729521470363086,\n   0.013188992313395017,\n   0.013537799658165341,\n   0.011347333017401864,\n   0.010396086296867772,\n   0.010100748642527184,\n   0.008504339471603544,\n   0.007427112929564107,\n   0.009224437093276654,\n   0.010213216029090576,\n   0.010305617288416977,\n   0.010255725536591206,\n   0.010445335914798324,\n   0.010447987014485165,\n   0.01044419073256074,\n   0.010487072299981387,\n   0.010439834360999906,\n   0.010451466417435298,\n   0.010405342601886096,\n   0.010449521861602175,\n   0.010423889742015443,\n   0.010428796304114704,\n   0.010473490118952843,\n   0.010387782035788792,\n   0.010374336613448946,\n   0.010339823809729342,\n   0.010267653720923505,\n   0.01027898117839077,\n   0.01029170693931753,\n   0.010253834668415396,\n   0.01024592128703982,\n   0.010106528685997429,\n   0.010294228867662056,\n   0.01022083809509702,\n   0.010307870623223874,\n   0.010213117189893988,\n   0.010191465445459206,\n   0.010195989829361119]],\n [36,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.010234936286994198,\n   0.010233497305488838,\n   0.010205822961759554,\n   0.010266921347889322,\n   0.009329343098732689,\n   0.009658547587712049,\n   0.010500458027888024,\n   0.010442291284491775,\n   0.010344273962122149,\n   0.01046427998638249,\n   0.010443703457471825,\n   0.010525563426609418,\n   0.010465195281717184,\n   0.01044693338342144,\n   0.009723595870075099,\n   0.008921887602182575,\n   0.010036854055015655,\n   0.0101282479001719,\n   0.01035745668924309,\n   0.009614409885352478,\n   0.01055789270180473,\n   0.009733145359689032,\n   0.009386925277215359,\n   0.011706214089432504,\n   0.012806827859738835,\n   0.012550415138969866,\n   0.012591116997669339,\n   0.009827189643158441,\n   0.010258373057017971,\n   0.010009277972162231,\n   0.009801655079786531,\n   0.00951329521267026,\n   0.010472788270555254,\n   0.008428559617157935,\n   0.003965424861569248,\n   0.002646337836567726,\n   0.0,\n   0.006533782025044152,\n   0.0030770879540601803,\n   0.004945904716077091,\n   0.01003936900085909,\n   0.01018595486013164,\n   0.008925693614729934,\n   0.005513022927098693,\n   0.00870433393169358,\n   0.01110768961065815,\n   0.012888353922642107,\n   0.009783300038285949,\n   0.010304146854904883,\n   0.01028555984135801,\n   0.007240014879531487,\n   0.004691866084589514,\n   0.0038934288876260326,\n   0.0057025226539402524,\n   0.009037083478905843,\n   0.009583118356767905,\n   0.0041864931843399004,\n   0.010035370882965971,\n   0.010472626912302005,\n   0.010275297505291547,\n   0.010289309245540211,\n   0.007998183412960888,\n   0.008779922769090719,\n   0.009882158455877529,\n   0.009937125032625553,\n   0.012257407228597219,\n   0.012548767798171497,\n   0.012866760520988726,\n   0.013407351393554623,\n   0.01129407764873497,\n   0.010764506888275512,\n   0.01013435823748128,\n   0.008152684273836037,\n   0.007133947717186526,\n   0.009155299397233486,\n   0.010222667044167008,\n   0.01037009135510294,\n   0.010332045630143956,\n   0.010511713317120096,\n   0.010526043268189277,\n   0.010500697282479527,\n   0.010547174498076519,\n   0.01051402631158884,\n   0.010519584929940554,\n   0.010470438221722686,\n   0.010522880286676375,\n   0.010497958920827003,\n   0.010496897447597294,\n   0.010526740312599507,\n   0.010464563694733219,\n   0.010434675916050242,\n   0.010399970743279223,\n   0.010317776374710668,\n   0.01033985134191807,\n   0.010367634758286153,\n   0.010296053883692898,\n   0.010287480044741896,\n   0.010186146091813893,\n   0.010354482134751987,\n   0.010276189705305359,\n   0.010363863907645366,\n   0.010272704881139596,\n   0.0102227703185776,\n   0.010243336857275975]],\n [37,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.010542811261522018,\n   0.010502283548175749,\n   0.010483851347116812,\n   0.010479265857233131,\n   0.009919782390437504,\n   0.010062386981191173,\n   0.010699318168578317,\n   0.010687102524365453,\n   0.010617169081789246,\n   0.010728732848514387,\n   0.010691535354333124,\n   0.01075937140105636,\n   0.01071512970924327,\n   0.010718283212147229,\n   0.010114857226863755,\n   0.009604657424164461,\n   0.01044705451753866,\n   0.010474288437532099,\n   0.010654429649093508,\n   0.010170028408756096,\n   0.008403632510631965,\n   0.008365786155028542,\n   0.006682246859026222,\n   0.009099724826516966,\n   0.011552111972854183,\n   0.011731038177024445,\n   0.011742964055220113,\n   0.010134941690807418,\n   0.010429708168613641,\n   0.010335121293043368,\n   0.008415286746176554,\n   0.006233732683429148,\n   0.0054027004364650116,\n   0.0046158222852869255,\n   0.004962971990458727,\n   0.005075657796554394,\n   0.004752959148692165,\n   0.0,\n   0.0036381112478680445,\n   0.007191354501737907,\n   0.010403143001930196,\n   0.010506090774798983,\n   0.009592704662551866,\n   0.0080728115986107,\n   0.009981971978746635,\n   0.011327217385533075,\n   0.011980060194630913,\n   0.010335857634912569,\n   0.010653262587566187,\n   0.010627467409536772,\n   0.008694238434643963,\n   0.007343727429788661,\n   0.005280085352974536,\n   0.0029361135348303247,\n   0.0038818684550219903,\n   0.004855970625263098,\n   0.004723393679662897,\n   0.01039544853207531,\n   0.010723107445814424,\n   0.010585003846455552,\n   0.010580105684447567,\n   0.008861542646256089,\n   0.009286312853096196,\n   0.010540872137898854,\n   0.01054661544708939,\n   0.011835089095108994,\n   0.012030318727520318,\n   0.012203445950844877,\n   0.012477731624766482,\n   0.01141453926140161,\n   0.010990694449412072,\n   0.010607532034902372,\n   0.009605278875065088,\n   0.008745143088861295,\n   0.00993687173948568,\n   0.010587496604299614,\n   0.010685770504482198,\n   0.010643804835855182,\n   0.01074456393772743,\n   0.010758005417478423,\n   0.010751364309956607,\n   0.010778271747923658,\n   0.010761210958231156,\n   0.010748780708621631,\n   0.010723922765163384,\n   0.010758706934429919,\n   0.01073062843331225,\n   0.010730444893166376,\n   0.01076496539067072,\n   0.010735320762692383,\n   0.01072137331038256,\n   0.01065446136596596,\n   0.01064008724419103,\n   0.010604502717168741,\n   0.010680414520458972,\n   0.010593141701402147,\n   0.010566485539434959,\n   0.010556905011939682,\n   0.010647427908962613,\n   0.010604399574319258,\n   0.01067146958232776,\n   0.010611145593239389,\n   0.01056568086972328,\n   0.010579396779879078]],\n [38,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.010401255212119648,\n   0.010364122865962644,\n   0.010348724190457311,\n   0.010387880422485193,\n   0.009597002073814415,\n   0.010094154817933963,\n   0.01061170001563499,\n   0.010582048074496687,\n   0.010490466371224265,\n   0.010613014143384048,\n   0.010569040994044597,\n   0.010643733305476424,\n   0.010594412392142814,\n   0.01057419008347242,\n   0.009943712619231819,\n   0.00931872640183459,\n   0.01025525225278744,\n   0.010306951244291237,\n   0.01050386115430704,\n   0.009874961627772938,\n   0.00973800937833949,\n   0.00935909248820075,\n   0.008702509997662713,\n   0.01091974339193428,\n   0.012182611879164643,\n   0.012077988809398891,\n   0.012116821763230956,\n   0.010083279338100921,\n   0.010450173782704896,\n   0.010297724145681886,\n   0.009482963137874553,\n   0.008633071751345464,\n   0.00892621434084179,\n   0.007230982093178876,\n   0.00407545090887943,\n   0.0024573187109343656,\n   0.002591107641308299,\n   0.004211357210519867,\n   0.0,\n   0.005415370383276165,\n   0.010230465610129682,\n   0.010334963865167301,\n   0.00925858583837885,\n   0.006332146329090591,\n   0.008547958141589781,\n   0.010492825111857331,\n   0.012071182873746823,\n   0.01001478875425858,\n   0.010468543814780322,\n   0.010441627562204172,\n   0.007986549568391855,\n   0.0060977815097819415,\n   0.0042936660279207185,\n   0.004406006652520482,\n   0.0074402068595502534,\n   0.008176633754440816,\n   0.0046326842725262305,\n   0.010216319706333596,\n   0.010601874593198057,\n   0.010431369275324728,\n   0.010443509295312473,\n   0.008351414041242866,\n   0.009065497407613456,\n   0.01045431544351577,\n   0.010390826993464606,\n   0.012053665713683409,\n   0.012299077101114065,\n   0.012558613769700501,\n   0.012932867178007247,\n   0.011293751411589462,\n   0.010584255481927173,\n   0.00998747172701687,\n   0.008744233483655937,\n   0.007856535898233284,\n   0.009599328941425301,\n   0.01045824589472712,\n   0.01053569999895963,\n   0.010493527659706257,\n   0.010638641342509676,\n   0.010649110574359633,\n   0.010635721986783513,\n   0.01067240082045902,\n   0.010637545340032825,\n   0.010637896311593767,\n   0.01060276100184985,\n   0.010645578720847145,\n   0.01061406731468319,\n   0.01062457403310517,\n   0.010661017744914958,\n   0.010604819927831825,\n   0.010590401145247856,\n   0.010550756886181968,\n   0.010501617171034733,\n   0.010501951605482772,\n   0.010527668630669071,\n   0.010466642012969535,\n   0.010457629464814665,\n   0.01036664175550022,\n   0.010512056107716532,\n   0.010454035153100156,\n   0.010531324825413324,\n   0.010459001795927273,\n   0.010422555727041101,\n   0.010427563622389556]],\n [39,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.009684466095984697,\n   0.009563232326428717,\n   0.009541510977041003,\n   0.009592981654339217,\n   0.008234847338789528,\n   0.009439565433383373,\n   0.009976022353564179,\n   0.00991237402733796,\n   0.009715617518607712,\n   0.009912731067800341,\n   0.00988531226817691,\n   0.00999699663023697,\n   0.00989608781024686,\n   0.009867051028251791,\n   0.00904272487798859,\n   0.008237821709592546,\n   0.009312095758441148,\n   0.009550476102260896,\n   0.009756322153176056,\n   0.008822566325361247,\n   0.011174637464027803,\n   0.010876726923627695,\n   0.011310626321181327,\n   0.013066434376285551,\n   0.013667865882860059,\n   0.012916203248582494,\n   0.012998917642852556,\n   0.009646032170682519,\n   0.009833678524928866,\n   0.009653630454729148,\n   0.010961856887153792,\n   0.011977125630239924,\n   0.01391225663711443,\n   0.011394377726465487,\n   0.006618465505422647,\n   0.004928676686029348,\n   0.005713072131130943,\n   0.011419187927548948,\n   0.007428593303712195,\n   0.0,\n   0.009308396137301765,\n   0.009621296336775519,\n   0.008228920781466585,\n   0.0034746237287388505,\n   0.005784595457366201,\n   0.008338318330640151,\n   0.010517090365204386,\n   0.00853911947248227,\n   0.00967062958177983,\n   0.009566865722993508,\n   0.006031602933913441,\n   0.006639378073158638,\n   0.008382793246754415,\n   0.011003738186842246,\n   0.01332505290308905,\n   0.013070387838058284,\n   0.005897626482104715,\n   0.00923792483385958,\n   0.009923986623497109,\n   0.009676097178568436,\n   0.009736061732001328,\n   0.006716578001050598,\n   0.009713652533891901,\n   0.009723128567563724,\n   0.009254387405772693,\n   0.012322083337448107,\n   0.012739075184454713,\n   0.013524731285673677,\n   0.013912590379196217,\n   0.010069801652759247,\n   0.008550091642975214,\n   0.009712426665374014,\n   0.007970061181909443,\n   0.007084077319974966,\n   0.008214613466066915,\n   0.009643352210528738,\n   0.009798141307337449,\n   0.009774766732875993,\n   0.00999128580900113,\n   0.009998723757436339,\n   0.010003494432771735,\n   0.010050923402905183,\n   0.009977228441633831,\n   0.009992190691038244,\n   0.009956856631652158,\n   0.00997939555874776,\n   0.009988068102553208,\n   0.009988330402344965,\n   0.010042451060892441,\n   0.009859237350010616,\n   0.009846725212806008,\n   0.009786753613738637,\n   0.009748751921568854,\n   0.009814878695869078,\n   0.009732879739180402,\n   0.00970222343569905,\n   0.009723949025913602,\n   0.009503671944335549,\n   0.009784597573817881,\n   0.009612407266802424,\n   0.009769907309335697,\n   0.009699565991977476,\n   0.009689411912605927,\n   0.0096188569923268]],\n [40,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0028815170523128425,\n   0.002687713572853494,\n   0.0027503953341221016,\n   0.003407028874783864,\n   0.006232117041427318,\n   0.007817021255298725,\n   0.003336347512317647,\n   0.0032148518832731247,\n   0.0027887850423779534,\n   0.002852153583084181,\n   0.0028117707269409735,\n   0.0029605344530564603,\n   0.0028837928348846927,\n   0.00274238725783452,\n   0.004380092263027164,\n   0.005230687642553357,\n   0.0028305405920087297,\n   0.0011907325271532643,\n   0.0016417177141700456,\n   0.0021924916463571687,\n   0.022034963480236733,\n   0.017137215047420908,\n   0.020186081811560255,\n   0.02102368504708151,\n   0.0195487715989062,\n   0.016475824385826086,\n   0.01671790321638021,\n   0.007687972370933256,\n   0.004953916823689952,\n   0.006745684286244367,\n   0.01697135684269529,\n   0.02260242211552787,\n   0.028117160821763004,\n   0.024155821202284107,\n   0.0185223796812972,\n   0.021345267870862817,\n   0.02095041145464747,\n   0.02984360396131832,\n   0.025353387508091806,\n   0.01681655510638264,\n   0.0,\n   0.0013338520826009779,\n   0.0031691805376577033,\n   0.017168075584492716,\n   0.02194634048063316,\n   0.02454917252714712,\n   0.02279393132901825,\n   0.002608089137309273,\n   0.0017999276536525483,\n   0.0014640287378377748,\n   0.008083213142067646,\n   0.0204995133918052,\n   0.02608306810178252,\n   0.029590432054735428,\n   0.029283791684466296,\n   0.027546417875959767,\n   0.018162198762430998,\n   0.0011215232628418823,\n   0.0015182094017699033,\n   0.0012817769609911635,\n   0.0013106481766824163,\n   0.008168748436132632,\n   0.01930354564884988,\n   0.012309009588293743,\n   0.009250530914361005,\n   0.018097163249735208,\n   0.019748248882784685,\n   0.022493608585949215,\n   0.02362699707735384,\n   0.017680173706661636,\n   0.01742080730795532,\n   0.023543572210427976,\n   0.016938214797519117,\n   0.011008530770848766,\n   0.0059114192828199665,\n   0.0018858365891602836,\n   0.0016351754743337038,\n   0.0016933861949716396,\n   0.0028202188319009862,\n   0.0027826141402879593,\n   0.003024347714032186,\n   0.0033210591294526312,\n   0.003367606044864345,\n   0.003358026324669855,\n   0.0032866359942258826,\n   0.0033159660217060125,\n   0.0033995322105299032,\n   0.0034044463396627673,\n   0.0035433869823233255,\n   0.002672468859857823,\n   0.0017530942793181393,\n   0.0017854356782598276,\n   0.0017310201685257819,\n   0.0015935450213008292,\n   0.0015278218334942935,\n   0.0020422498611116003,\n   0.0016198469693024086,\n   0.0017031578782729104,\n   0.001985315481964735,\n   0.001995489459380938,\n   0.0018543854398545988,\n   0.0019154888004288412,\n   0.0020883891904054878,\n   0.00205702829783681]],\n [41,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.002964410479465932,\n   0.0029400714154100937,\n   0.002982823417033685,\n   0.0036612564718332854,\n   0.006563169230545549,\n   0.008227495487029475,\n   0.0033067835721040466,\n   0.0029936041830340484,\n   0.0027884670702642955,\n   0.002823140312259321,\n   0.002772070465226979,\n   0.0027814146370283613,\n   0.0027114494763481817,\n   0.0025358922532231322,\n   0.00444510740398985,\n   0.005427449735845074,\n   0.0031170718955442567,\n   0.0012999398754985952,\n   0.0013185284127614915,\n   0.002505014041585459,\n   0.022218109994501387,\n   0.01715767984769398,\n   0.020258789440081502,\n   0.021101038986794857,\n   0.019322721570141903,\n   0.016253963134621435,\n   0.01645507307280923,\n   0.007651913593625042,\n   0.00512490866559764,\n   0.0069146855624886904,\n   0.017075990210616874,\n   0.022663997731507957,\n   0.02808139987028182,\n   0.024126231606183032,\n   0.018373970609397126,\n   0.021316713297484937,\n   0.020916780644747435,\n   0.02965751807848616,\n   0.02520324796264281,\n   0.017104198336804252,\n   0.001312546282971429,\n   0.0,\n   0.0034286549859404393,\n   0.01742083509734607,\n   0.02226900004997325,\n   0.024968145974292984,\n   0.02324096955720637,\n   0.003305600704114985,\n   0.0017244860513009757,\n   0.0015924406362431503,\n   0.00849779466610494,\n   0.020610567143644253,\n   0.026061222212695703,\n   0.029456424511726417,\n   0.02920000488480032,\n   0.02754885909854357,\n   0.01833291616115366,\n   0.0014979351768616507,\n   0.0010686743718695368,\n   0.0008375255783412811,\n   0.0008920739381581293,\n   0.00850145988082009,\n   0.019180141826885024,\n   0.012502572178778985,\n   0.00959197895672384,\n   0.01804284722088196,\n   0.01960335296768371,\n   0.02228354181923625,\n   0.023467435275826176,\n   0.017929845759863096,\n   0.01770828912152954,\n   0.02350079001199314,\n   0.01694568145834491,\n   0.011021157418195744,\n   0.006226255866073295,\n   0.0018636271353624993,\n   0.0011352066365899556,\n   0.0013133889255690372,\n   0.002507208012835743,\n   0.0024711500552898604,\n   0.0027271238641775174,\n   0.003050979352073061,\n   0.003172387040765844,\n   0.0031194371718189025,\n   0.0030900833136377876,\n   0.003151482913926191,\n   0.0031547138285539004,\n   0.0032983986674106195,\n   0.0034009141610964852,\n   0.002542976584678278,\n   0.0016539391244782009,\n   0.0017648690892028346,\n   0.0015964898572358426,\n   0.0014706870964150366,\n   0.0013886761058212686,\n   0.0020148375307802303,\n   0.0015541693846398415,\n   0.001680507752437465,\n   0.0018755868433885227,\n   0.00206886202500209,\n   0.0018639481497342923,\n   0.0018770057080227376,\n   0.002082991529835841,\n   0.0021922332405559628]],\n [42,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.00397802625758904,\n   0.0038818695773139207,\n   0.003906983843406512,\n   0.004052571953726912,\n   0.005104416340097895,\n   0.007553501423191938,\n   0.004877668603255965,\n   0.004638817136682555,\n   0.004268853692453419,\n   0.004560466170395038,\n   0.0044832071996444,\n   0.004650544270340525,\n   0.004517741987105081,\n   0.004439173862641019,\n   0.004325606223140735,\n   0.004003467560140019,\n   0.0037566360919273774,\n   0.0033437022536868914,\n   0.003503587588334938,\n   0.002278621413064671,\n   0.01973961843879376,\n   0.015287513226216258,\n   0.01797923282033032,\n   0.01932920545075387,\n   0.018305050379191945,\n   0.015589792052329967,\n   0.015747011790411762,\n   0.0068648904075821705,\n   0.005107676434103856,\n   0.006157940007795479,\n   0.014592998631587136,\n   0.02004674326752295,\n   0.02542113486205176,\n   0.021425324885598035,\n   0.015613795330356174,\n   0.01841616053222653,\n   0.017977827077015486,\n   0.0265605373855954,\n   0.022145951072347014,\n   0.014348752453356192,\n   0.003058835095342462,\n   0.003362992623212809,\n   0.0,\n   0.014779487154031887,\n   0.02002367392187885,\n   0.02273378887947627,\n   0.02128390474831665,\n   0.003173575287274786,\n   0.003586870506989604,\n   0.0035396379425850703,\n   0.005929245358771378,\n   0.018160218571951405,\n   0.023163822254054212,\n   0.026389372628751982,\n   0.026268356961874285,\n   0.024691678845342777,\n   0.015235957736051662,\n   0.00301286537112707,\n   0.0039023366807804712,\n   0.003485822631667132,\n   0.0035498112631470475,\n   0.005722866701612178,\n   0.01717888906189714,\n   0.011704536438488147,\n   0.008772941543013592,\n   0.017173115589508684,\n   0.018913408521722252,\n   0.02150247493652033,\n   0.022614490402744075,\n   0.016822470964121605,\n   0.01623593772417271,\n   0.02170550848593942,\n   0.015220607210572779,\n   0.008951393198541168,\n   0.005106103056648192,\n   0.0036916763606327447,\n   0.0038631321001140547,\n   0.003758779602276799,\n   0.00451907829659898,\n   0.0045025945405429415,\n   0.004630408852101679,\n   0.004817837797825786,\n   0.004859473286196687,\n   0.004828206777065958,\n   0.004764515798661136,\n   0.004788301826678621,\n   0.004845747213710092,\n   0.004880004522505159,\n   0.00499519732348531,\n   0.0044268358295807605,\n   0.003977292069824343,\n   0.0038874976958292794,\n   0.0037947836113580357,\n   0.0037786887385868684,\n   0.0037549072359828427,\n   0.0034830921831105885,\n   0.0035352435956349515,\n   0.003528170010577191,\n   0.0038336746362413574,\n   0.0035347435306400236,\n   0.0038344627226155528,\n   0.003806662935973894,\n   0.0037221460958628823,\n   0.003617226558350294]],\n [43,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.009568569755348012,\n   0.009512424104762456,\n   0.009538011251371447,\n   0.009593466105775484,\n   0.008208122810211103,\n   0.009113893192455617,\n   0.009977855096201707,\n   0.009867207032103602,\n   0.009701152785933139,\n   0.009854746254919012,\n   0.009857297627823315,\n   0.009939788649474554,\n   0.00984380599995685,\n   0.0098153983108786,\n   0.00906704157762096,\n   0.00841084369573471,\n   0.0093503254501045,\n   0.00955416219846113,\n   0.009680207214440304,\n   0.008777058230969002,\n   0.012118026118292,\n   0.011478126212637942,\n   0.012274831576212918,\n   0.013649799397360756,\n   0.013578070245422548,\n   0.012804889929270256,\n   0.012861951028728955,\n   0.009640859957627975,\n   0.009885308596462904,\n   0.009479694522496517,\n   0.01122218117206191,\n   0.012918156124353946,\n   0.014927348235564072,\n   0.012583169523695344,\n   0.007787851682292421,\n   0.006047068356600275,\n   0.006262160119193349,\n   0.012605490423015817,\n   0.008541610564329106,\n   0.0034167892232524998,\n   0.009344796464228233,\n   0.009636298500485368,\n   0.008334863851867803,\n   0.0,\n   0.005052876351448741,\n   0.008241424511996276,\n   0.011302306974905472,\n   0.008665281311393637,\n   0.009568971317107064,\n   0.009492804578439925,\n   0.006330020329565063,\n   0.0054973474307644,\n   0.00828540352863081,\n   0.011638225390606221,\n   0.01428405745292066,\n   0.014053129172149273,\n   0.006868197751248386,\n   0.009326468004328615,\n   0.009882310118981063,\n   0.009663832716225246,\n   0.009719679002823063,\n   0.007053688033177378,\n   0.0085143155782084,\n   0.008660704258658773,\n   0.008567147053452196,\n   0.0117027617388188,\n   0.011796044783126299,\n   0.01226805997525423,\n   0.012876218578919279,\n   0.009542561939923045,\n   0.00837620961794657,\n   0.008298881266922848,\n   0.006480631239759533,\n   0.006445743389362817,\n   0.007986685789942764,\n   0.009524229254154916,\n   0.00973798111295234,\n   0.009694889279425543,\n   0.009942703168394126,\n   0.009955700911640726,\n   0.00992609303568086,\n   0.009989051717591317,\n   0.00992664785535681,\n   0.009957275865150508,\n   0.009881223145522923,\n   0.009915752964137914,\n   0.009937600756986993,\n   0.009899108907873152,\n   0.00993320263038684,\n   0.009787202588301347,\n   0.009772746634207264,\n   0.009735775984633599,\n   0.00967448571802185,\n   0.009747431490170707,\n   0.009672601336268325,\n   0.009628942381999267,\n   0.009681413431061747,\n   0.009435806645451678,\n   0.009685228397545619,\n   0.00954767060690389,\n   0.00966960167479782,\n   0.009579562060183072,\n   0.00955494432995418,\n   0.009532417758239282]],\n [44,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.009774824301500541,\n   0.009662788119908953,\n   0.009680808361194277,\n   0.009707650026254188,\n   0.008574731258575993,\n   0.009409061677309908,\n   0.01003038965328606,\n   0.009943038909928306,\n   0.009799097713126662,\n   0.009927916929664006,\n   0.00994225762265601,\n   0.01000909723897357,\n   0.00992633327569951,\n   0.00989546190891214,\n   0.009408229132796674,\n   0.009005781710895097,\n   0.009557878302428083,\n   0.009765730209762898,\n   0.009841663907567596,\n   0.009183391630372607,\n   0.011236896440052243,\n   0.011419443633648763,\n   0.012161520801130648,\n   0.012808178835983104,\n   0.012546839659821153,\n   0.011939528875200134,\n   0.0119896932251367,\n   0.009951008021912818,\n   0.01004459270950147,\n   0.00976056056050347,\n   0.011268865693709792,\n   0.012711507912458378,\n   0.014267248201675683,\n   0.012514911484274197,\n   0.009125316548061176,\n   0.00722388020588657,\n   0.007888167539948997,\n   0.012435334986119725,\n   0.00919935596750374,\n   0.004538262499636259,\n   0.009530519086966137,\n   0.009827616568411888,\n   0.009009260050907924,\n   0.004031297819522958,\n   0.0,\n   0.003701391150526248,\n   0.008063683790396736,\n   0.008799716338884284,\n   0.009708238903489382,\n   0.009607806809431848,\n   0.007438475611830099,\n   0.006824737657158092,\n   0.008925895634719322,\n   0.011763749091645216,\n   0.013906561307454228,\n   0.013577525600206425,\n   0.0082473079582862,\n   0.009501544414400953,\n   0.009985398708595264,\n   0.009819909541919834,\n   0.009872090824852667,\n   0.007781759666659984,\n   0.009046116990369538,\n   0.008801844291368047,\n   0.008612424366359528,\n   0.010536534045430548,\n   0.01055897522324803,\n   0.011088583258958772,\n   0.011334256584830728,\n   0.008240443433863447,\n   0.00668479896675505,\n   0.0073566800075726465,\n   0.007287562741000565,\n   0.007970070583407785,\n   0.008475576980277816,\n   0.009711187642321735,\n   0.009845938167932096,\n   0.009842250912205914,\n   0.010005905800747611,\n   0.010012631922676494,\n   0.010001855820986429,\n   0.010039711371180433,\n   0.009967611071115207,\n   0.010002689991714305,\n   0.00995376823062877,\n   0.009961222058980741,\n   0.009990853027710288,\n   0.009965638242753722,\n   0.009986794564713932,\n   0.009848786073772046,\n   0.009854386305502108,\n   0.009831512643154874,\n   0.00980013905034024,\n   0.009882776101067954,\n   0.009768960750477014,\n   0.009771254021400194,\n   0.00983668569168146,\n   0.009609876758323367,\n   0.009815444494034195,\n   0.009691084731803419,\n   0.009797568748752955,\n   0.009757995852249755,\n   0.009756331884908834,\n   0.009693538364177374]],\n [45,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.009742127889811075,\n   0.009619736400049726,\n   0.009649587928259143,\n   0.009618745695819135,\n   0.008640589456226613,\n   0.009281522716435599,\n   0.00998130187266488,\n   0.009913535003241046,\n   0.009765941236178317,\n   0.009855210391662083,\n   0.009890390091857763,\n   0.00996389128585915,\n   0.009885913276157263,\n   0.009866433186947713,\n   0.009443006099098768,\n   0.009054323876202927,\n   0.009518121367007257,\n   0.009777839864274251,\n   0.009813700580053455,\n   0.009266026078745436,\n   0.010516944055554119,\n   0.011070011779585802,\n   0.011863214488672225,\n   0.01219892606474456,\n   0.011977400051487671,\n   0.01143304959973546,\n   0.011523068710944056,\n   0.009896552840451689,\n   0.009961434600115822,\n   0.009716922807393561,\n   0.010851516937751082,\n   0.012281541729468019,\n   0.013777423183763347,\n   0.012315672928029098,\n   0.009835202565483155,\n   0.008589614084228555,\n   0.00899913181347747,\n   0.012615389769559704,\n   0.010095405481193162,\n   0.005848323488267556,\n   0.009530761377052669,\n   0.009850767699118775,\n   0.009144363394946661,\n   0.005878205884998029,\n   0.003309034366672096,\n   0.0,\n   0.005383626260288544,\n   0.00875784775584467,\n   0.009696382420206012,\n   0.00959332206609732,\n   0.007772195903706084,\n   0.008067966606678443,\n   0.009846708891555667,\n   0.012121463785570016,\n   0.013633664112366073,\n   0.013155825434765402,\n   0.008937857990019997,\n   0.009478773496831953,\n   0.009948068805942897,\n   0.009807153887546926,\n   0.009861702719914807,\n   0.007919207040671141,\n   0.009389161666837903,\n   0.008886507245788945,\n   0.008452554457475786,\n   0.010014780181827219,\n   0.010364947422480765,\n   0.010924790873914712,\n   0.010839092694922997,\n   0.007539104022741596,\n   0.006078774413648199,\n   0.007831157958053905,\n   0.008028549991296458,\n   0.008575258317045548,\n   0.008561986656693492,\n   0.009692387675824274,\n   0.00983606986850369,\n   0.009844964235328877,\n   0.009956711394660422,\n   0.009958693404830545,\n   0.009959984332287442,\n   0.00998439429934468,\n   0.009925462743444928,\n   0.009936013717730521,\n   0.009921226537078198,\n   0.00989837833179814,\n   0.0099460862913441,\n   0.00991718276004104,\n   0.00992838998131204,\n   0.009793853573892146,\n   0.009799083586570041,\n   0.009771133462115963,\n   0.009775672597836838,\n   0.009869896652974747,\n   0.009735945681359827,\n   0.00970221207364678,\n   0.009795255134831437,\n   0.009614736345238987,\n   0.009782243532575768,\n   0.009643144364492859,\n   0.009755981570267287,\n   0.009763151479019478,\n   0.009742229622747721,\n   0.009653257668921503]],\n [46,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.009265085038884532,\n   0.009194445173016357,\n   0.009164187644471756,\n   0.009039632607301189,\n   0.008330285303586076,\n   0.008773424038062248,\n   0.009549279427768896,\n   0.009488077204970654,\n   0.009313098462705652,\n   0.009393826852766607,\n   0.009428699567091952,\n   0.009542872415120819,\n   0.009452519440526629,\n   0.009463267358655603,\n   0.009036831603914783,\n   0.00855020788639521,\n   0.008948291281250598,\n   0.00934711627590094,\n   0.009376827326421212,\n   0.008938285541155135,\n   0.009632343587135566,\n   0.010569132195934723,\n   0.011433844662135066,\n   0.01149546052694763,\n   0.0116034393372499,\n   0.010916027815917603,\n   0.011023921843642981,\n   0.009332026193431781,\n   0.00932827844329502,\n   0.009262942793272153,\n   0.010394884825996521,\n   0.011833218799251137,\n   0.013622912763374906,\n   0.01226406112966232,\n   0.010666495245363,\n   0.010679744788379218,\n   0.010778551090451973,\n   0.01377280794298089,\n   0.01198856536259049,\n   0.007614380487204709,\n   0.009134736559727154,\n   0.00946507540360746,\n   0.008837288111478402,\n   0.00832138585504402,\n   0.007441420352153859,\n   0.0055572630741653455,\n   0.0,\n   0.00827595931401217,\n   0.009315124791542017,\n   0.009212108766225668,\n   0.007692172080809846,\n   0.010268403779517208,\n   0.011952129179462315,\n   0.013548980357209353,\n   0.013901242198174917,\n   0.01311572524076115,\n   0.009777762705206845,\n   0.008985535370977384,\n   0.009513602838208058,\n   0.009378338741820586,\n   0.009447379047246456,\n   0.007683762929735689,\n   0.010369946653423506,\n   0.009218541956390271,\n   0.00831730804843262,\n   0.010270395615336323,\n   0.010969326919402497,\n   0.011765974469694714,\n   0.011790830644776326,\n   0.008102432903075368,\n   0.0070091228165974,\n   0.010002140129569053,\n   0.009533394750660508,\n   0.009345763716511076,\n   0.00831980617915404,\n   0.009282997773317795,\n   0.009439934302654456,\n   0.009467330168728883,\n   0.009520508885121706,\n   0.009520393839698493,\n   0.009545413537234525,\n   0.009551316962410189,\n   0.009513982509892592,\n   0.009482533751117338,\n   0.009528163841031848,\n   0.009450087422145493,\n   0.009528163710114973,\n   0.009511998664494047,\n   0.009503858368420947,\n   0.009358641263971472,\n   0.009343153363360005,\n   0.009271194075883924,\n   0.00931974754232151,\n   0.00946395208854384,\n   0.00930388870829652,\n   0.009173476054050746,\n   0.009312360933863032,\n   0.009224428833068747,\n   0.00937266674567738,\n   0.009139059795865177,\n   0.009325348195550929,\n   0.00938467844951053,\n   0.009334255232006717,\n   0.009176783197352207]],\n [47,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.003736339353848667,\n   0.003458594069047516,\n   0.0035297864953784206,\n   0.0037476868929670715,\n   0.005107428353628,\n   0.007395400195791312,\n   0.004541721989341764,\n   0.004225787041270528,\n   0.003730701159355,\n   0.003939113242349239,\n   0.003909116905210683,\n   0.004120420966573523,\n   0.003936345427741517,\n   0.003819201164851077,\n   0.004611817526276072,\n   0.004714745958494935,\n   0.0028831502664080026,\n   0.0030217275976109786,\n   0.003110838314680888,\n   0.0025494647102784727,\n   0.020519708537917444,\n   0.016628260305780358,\n   0.019494582137013883,\n   0.020334047241978653,\n   0.01888595482797659,\n   0.01587110847087694,\n   0.016061603428768945,\n   0.007488750916991346,\n   0.00490715645329225,\n   0.0061911526590873005,\n   0.016166973718976792,\n   0.021611002320768447,\n   0.026953892451921268,\n   0.02312103823368783,\n   0.017386855897070196,\n   0.019698699778892007,\n   0.01948221870982325,\n   0.028294376005420167,\n   0.0236836857326513,\n   0.01472116462936322,\n   0.002488796185236709,\n   0.0032056074536726247,\n   0.0031376653631719465,\n   0.015191523804163255,\n   0.019336645355365247,\n   0.021526506529982666,\n   0.01970645280298447,\n   0.0,\n   0.0029747551236175922,\n   0.0027143311606514764,\n   0.006390435789336336,\n   0.018844905385652543,\n   0.02433608293854826,\n   0.027957952766458974,\n   0.027977468633269952,\n   0.02627292093025954,\n   0.016835106953533577,\n   0.002274031513590488,\n   0.003311713514172453,\n   0.003001509389607542,\n   0.003187235983683059,\n   0.006841931175020597,\n   0.01794058720576436,\n   0.011584021878542019,\n   0.00845529899525271,\n   0.017144496747430762,\n   0.01870639459773258,\n   0.021325204528727833,\n   0.02240296276286298,\n   0.01599497665310421,\n   0.015306917380684593,\n   0.021501307327943968,\n   0.015453396384649452,\n   0.010106469932742501,\n   0.005282825045421821,\n   0.0031102932886446773,\n   0.0032734076663039867,\n   0.0032854517251911827,\n   0.003965830671984657,\n   0.003921016239489557,\n   0.004091732448566787,\n   0.004278659585528588,\n   0.0042830081322284275,\n   0.00426991695929475,\n   0.004267436053689703,\n   0.004185713766641209,\n   0.004343930230925781,\n   0.00433045483742117,\n   0.004432060820837484,\n   0.003678367051851764,\n   0.0032009060979851928,\n   0.0031473109636352904,\n   0.0031166456331991363,\n   0.0033426808113364553,\n   0.0030386790667590235,\n   0.003165297829215219,\n   0.0031304786088727876,\n   0.002905071526095458,\n   0.0033017258326117605,\n   0.0028943258869693067,\n   0.003176462908650198,\n   0.003259609627417119,\n   0.0033153919689436003,\n   0.0029780754775085875]],\n [48,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0022642332209237533,\n   0.0022918226912030256,\n   0.002466075504801403,\n   0.0029457762547262486,\n   0.0060313035542926,\n   0.007691841453028321,\n   0.0035285394613152284,\n   0.00301013365661322,\n   0.0027979704992668274,\n   0.0029511417529279466,\n   0.0028863384456777204,\n   0.0031088846283838863,\n   0.002842928104793249,\n   0.0027859909896547344,\n   0.00459572297624436,\n   0.005534849793177885,\n   0.003050343664420059,\n   0.0016176458444635631,\n   0.001536536917663724,\n   0.0023595550995906462,\n   0.022351521299838504,\n   0.01748311299895305,\n   0.020677119830296742,\n   0.021396893224050487,\n   0.0193922184581187,\n   0.016249522406427318,\n   0.016432028222021576,\n   0.00766295875135769,\n   0.004991252132920271,\n   0.006530533812118382,\n   0.01716454136877363,\n   0.02302353897328552,\n   0.028571800384699437,\n   0.024641502175687655,\n   0.0188595557013823,\n   0.02169167576373919,\n   0.02127512814637019,\n   0.030237322857428136,\n   0.025668522738930572,\n   0.017285857626538368,\n   0.0017808570295770791,\n   0.0017339107379864408,\n   0.003676889847150459,\n   0.01739366207634021,\n   0.02211872136583918,\n   0.024711152613489447,\n   0.022997778740000762,\n   0.003084312149380752,\n   0.0,\n   0.0012370578860443245,\n   0.008334063683564128,\n   0.02059676667837297,\n   0.02627490836222127,\n   0.02987719874392964,\n   0.029678651805774014,\n   0.027983089665365255,\n   0.01867376931223521,\n   0.002012972210686712,\n   0.0015853894570901095,\n   0.0014858823241770667,\n   0.0014097393155686135,\n   0.00855875424706912,\n   0.01920638472729063,\n   0.012262051797361418,\n   0.00919393867448954,\n   0.017924191879830978,\n   0.019559202706566445,\n   0.022260737173537232,\n   0.02343619169952855,\n   0.017740676867531755,\n   0.0175479988795636,\n   0.02347103702469585,\n   0.01685716433758817,\n   0.011020820044184811,\n   0.006070927947463743,\n   0.0018037002045270818,\n   0.001715019123010558,\n   0.0014100349454297403,\n   0.002716389682374089,\n   0.0025981597565489433,\n   0.002804753104454431,\n   0.0030357151027035987,\n   0.0031777032082821646,\n   0.0031190119669301693,\n   0.003105108766808545,\n   0.0030287726702953816,\n   0.003135235403581944,\n   0.0031689977879977324,\n   0.003256095901598439,\n   0.0023545758576780543,\n   0.0013680607974513,\n   0.001483504937147668,\n   0.0014082262276740058,\n   0.0013548981255601456,\n   0.0012704397962120895,\n   0.001701000650977061,\n   0.0014430672495467272,\n   0.001343844744250128,\n   0.0013740506840606772,\n   0.0014976287439826198,\n   0.0012662232528521593,\n   0.0014867591428307447,\n   0.001407113896474079,\n   0.0015248148711586268]],\n [49,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0025942735835262506,\n   0.0024458108662487777,\n   0.002579741588106336,\n   0.003180531559900348,\n   0.006158549473036104,\n   0.00783272811814289,\n   0.0035154560788292974,\n   0.00315588115462532,\n   0.0028246630573712577,\n   0.0028804102303068473,\n   0.0028472039209944803,\n   0.002990320218778403,\n   0.0027931146099689523,\n   0.0026991151395589596,\n   0.004549364865286742,\n   0.005524104243270149,\n   0.0030062418368984193,\n   0.0016405332256558905,\n   0.0014377478277941115,\n   0.0023755656299154753,\n   0.022299287171116157,\n   0.017584568612552785,\n   0.020642382105891057,\n   0.02137819031889448,\n   0.01956838121674683,\n   0.01645399772586732,\n   0.016672922980569466,\n   0.008007785257173106,\n   0.005186750246007381,\n   0.006755217923581238,\n   0.017242966198568112,\n   0.02297140448128237,\n   0.02844154038256711,\n   0.024528567749446447,\n   0.018804018619107563,\n   0.02155162168247709,\n   0.021171489841191844,\n   0.03007141244380041,\n   0.025523847358791898,\n   0.017047833754597265,\n   0.0014440656827884573,\n   0.0015962232855342036,\n   0.0036173214471852625,\n   0.017202186674356277,\n   0.021822633790088135,\n   0.024373372863583074,\n   0.022673554603648522,\n   0.002805648601011107,\n   0.0012332563558968667,\n   0.0,\n   0.00826248820768267,\n   0.020540082092889933,\n   0.026196120474698645,\n   0.0297663077939669,\n   0.0295832700155383,\n   0.027863476713276738,\n   0.0185381196544338,\n   0.0016351509954373581,\n   0.0015477128905124452,\n   0.0014682116744870063,\n   0.0014518732138214827,\n   0.008419816147371133,\n   0.019211751819006764,\n   0.012188951452585138,\n   0.009090669912946681,\n   0.017818139066976827,\n   0.01937150785556036,\n   0.022123399223444203,\n   0.023308734854471064,\n   0.017547242833818533,\n   0.01731722695649221,\n   0.023324493630756248,\n   0.016810288234363733,\n   0.01104868107574772,\n   0.006021653233167556,\n   0.00197133723385109,\n   0.0016479309206838383,\n   0.0015369216196127358,\n   0.0027061070459756384,\n   0.0026411262225408665,\n   0.0027859340561135312,\n   0.0030751423322084286,\n   0.003145322751133036,\n   0.0031010491397477414,\n   0.0031121767546718818,\n   0.0031169993508858964,\n   0.0031587002539821252,\n   0.003218305110569925,\n   0.0032925378959841917,\n   0.0023680660308832042,\n   0.0015485979556219135,\n   0.0016477474522397651,\n   0.0015865731267335418,\n   0.0015655648805371495,\n   0.0013239555189482677,\n   0.0018870765455630413,\n   0.0015749560019076227,\n   0.001522924148691093,\n   0.0015916719469244072,\n   0.0017857036230168025,\n   0.0015743686023397831,\n   0.0017396207347277145,\n   0.0018038349275121038,\n   0.0018105711904029438]],\n [50,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.006854751242665262,\n   0.006813631228305167,\n   0.006772741965234159,\n   0.006659526322939605,\n   0.005397812602414654,\n   0.0070888696620316615,\n   0.00768794054445128,\n   0.00739282250783769,\n   0.007109796531849457,\n   0.00739375460580072,\n   0.0073796446851497445,\n   0.00760222726352543,\n   0.00739645793002716,\n   0.007377537402304191,\n   0.006560292880509935,\n   0.005069546549513994,\n   0.006192078367203945,\n   0.00677235267107224,\n   0.006981408892065937,\n   0.005774089622375316,\n   0.015455296887652556,\n   0.013035511922586474,\n   0.014715035264493689,\n   0.016446186266492416,\n   0.016060129138050237,\n   0.014101673113094102,\n   0.014185408703066867,\n   0.0072596127880668925,\n   0.006658299435512865,\n   0.006526690407079386,\n   0.01241606520241839,\n   0.01595791769626789,\n   0.020206957652716646,\n   0.01692832720237768,\n   0.01123326037646183,\n   0.01274127959126536,\n   0.012205002479454965,\n   0.020147934009024097,\n   0.015988659719694095,\n   0.008802523537209662,\n   0.006529746245626777,\n   0.006976081591833616,\n   0.004962523905228584,\n   0.009394402178549954,\n   0.013836994693004171,\n   0.01617205740835191,\n   0.015505453518477208,\n   0.005409733202083888,\n   0.006804482209633181,\n   0.006766838018717857,\n   0.0,\n   0.011584064677113837,\n   0.015943196648742053,\n   0.01929295234442812,\n   0.020337259634336982,\n   0.019257218277248418,\n   0.010405711333002233,\n   0.006399527295811113,\n   0.0072916713126216694,\n   0.006930411270128134,\n   0.007041395478929388,\n   0.004963790593684735,\n   0.013105229964067088,\n   0.009600444230915621,\n   0.007783146894242801,\n   0.01472882022121375,\n   0.015975783921619795,\n   0.017703456437138346,\n   0.01866863039696949,\n   0.013084731419392457,\n   0.012302196938753365,\n   0.01620384671560117,\n   0.011160155319567551,\n   0.006982209984678166,\n   0.00570053288828182,\n   0.0067283158503830725,\n   0.007159987232064365,\n   0.007068852268966194,\n   0.0074864414103877645,\n   0.007451370465473459,\n   0.007485234015944856,\n   0.00757100206383902,\n   0.007567952990878145,\n   0.007566162419310287,\n   0.007527911873794507,\n   0.007467661208264411,\n   0.007578434242985841,\n   0.007550016866644377,\n   0.0075767919544177595,\n   0.007287468137004096,\n   0.007133618302065341,\n   0.007055146307065731,\n   0.006917826740612589,\n   0.0070809480194430514,\n   0.007015381615472422,\n   0.006806760825519137,\n   0.006919512305667056,\n   0.006755156544031972,\n   0.007004905846128709,\n   0.006700192226702337,\n   0.006976723846930621,\n   0.0069322644828006845,\n   0.006767994103574465,\n   0.006706213793368465]],\n [51,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.009922714490298239,\n   0.00998033333802848,\n   0.009954573914021896,\n   0.010015894055719551,\n   0.008939554168372667,\n   0.008775147376042049,\n   0.01031740660927783,\n   0.010201451320799252,\n   0.010115483424939096,\n   0.010179290885876848,\n   0.01020284267912116,\n   0.01028762021039271,\n   0.01021310028665748,\n   0.010198282096137996,\n   0.009536917997582885,\n   0.008851602662091822,\n   0.009764784725677612,\n   0.009935782627613514,\n   0.010105495943162356,\n   0.009457023066319039,\n   0.011421800477537972,\n   0.010370139632127602,\n   0.010897285273625516,\n   0.012307513820882052,\n   0.012464325849082752,\n   0.012136804109220946,\n   0.012146487693734984,\n   0.009464787949110662,\n   0.009950914486955403,\n   0.00948752935957779,\n   0.010530717284489635,\n   0.011135031440581308,\n   0.012482528887439602,\n   0.010728845437535129,\n   0.006788722160742211,\n   0.005840061691993955,\n   0.004704767269206997,\n   0.010123009547823433,\n   0.007261374757520281,\n   0.005763628429861039,\n   0.009850311161785268,\n   0.010064434662960184,\n   0.009041039874467286,\n   0.004853011860866413,\n   0.007551581546407798,\n   0.009985728442209118,\n   0.012312111614969512,\n   0.0094892842658449,\n   0.010003027007206018,\n   0.010006247180079543,\n   0.006890569182869641,\n   0.0,\n   0.0042965902648644015,\n   0.008136034575853456,\n   0.011401521386018505,\n   0.01162920346394938,\n   0.006340011170666082,\n   0.009872406916703927,\n   0.010249922464963148,\n   0.01008901217957664,\n   0.010104976001402026,\n   0.008338043419171109,\n   0.007890158714419887,\n   0.008299955756546358,\n   0.008682194336829496,\n   0.011279208108423486,\n   0.011420962174389815,\n   0.011581806320789246,\n   0.012361944803796796,\n   0.010172874024840968,\n   0.010006544338465888,\n   0.008960492039824899,\n   0.006860294711172052,\n   0.007019072709043191,\n   0.008644469738009114,\n   0.009858119227761919,\n   0.01011345851018469,\n   0.010087910170463042,\n   0.010282874720096218,\n   0.010285830143909639,\n   0.010253486258931101,\n   0.01029149715653321,\n   0.010266264012484462,\n   0.010294936429782775,\n   0.01020435803039556,\n   0.010249949355065407,\n   0.010261962263689334,\n   0.01019819074440569,\n   0.010211709427976778,\n   0.010175424881408468,\n   0.010120188985402874,\n   0.010127490818603055,\n   0.010022113263669582,\n   0.010079464990677835,\n   0.010098640548526747,\n   0.010048391781730798,\n   0.010060433019490101,\n   0.009922949985371122,\n   0.010043580526069401,\n   0.0099930610084945,\n   0.010062168106391938,\n   0.009946980614696376,\n   0.00987067581124613,\n   0.009921265349974015]],\n [52,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.010428238332726327,\n   0.010446760015517002,\n   0.010424265017660896,\n   0.01043854647719936,\n   0.009621106436601863,\n   0.009575729610585742,\n   0.010701322509515512,\n   0.010644506446937702,\n   0.010574797811513718,\n   0.010658773200882281,\n   0.010656035021032483,\n   0.010740458057316354,\n   0.01068426951027066,\n   0.01067090926552679,\n   0.010042594537516495,\n   0.009385081729563571,\n   0.01029301869978804,\n   0.010410260511678114,\n   0.010585181256308918,\n   0.010013397312168923,\n   0.00999496347998942,\n   0.009392806147146729,\n   0.009132448091747394,\n   0.010914352787014947,\n   0.011762304989211329,\n   0.011774575412022136,\n   0.011789924380815326,\n   0.009853523183547902,\n   0.010392599211958365,\n   0.010048430014934795,\n   0.00963324871847692,\n   0.009003359060893603,\n   0.009345055403021116,\n   0.008061080586999232,\n   0.00529821448384926,\n   0.004313400005446126,\n   0.003221337022047997,\n   0.006005448129542192,\n   0.004218777614884575,\n   0.006004387468212648,\n   0.01034133132843274,\n   0.010500394155596006,\n   0.009515221820159162,\n   0.0060350825169946404,\n   0.00814920305454378,\n   0.010055834984234048,\n   0.01182459471598267,\n   0.010111173257627974,\n   0.010528948029820743,\n   0.010529734257097476,\n   0.007824938027202924,\n   0.003545155751365832,\n   0.0,\n   0.0038811879473996877,\n   0.007761088168543525,\n   0.008503431089777556,\n   0.005283988615797389,\n   0.010362411751751208,\n   0.010699539588082225,\n   0.010552109540746637,\n   0.010560120606520212,\n   0.008762589227051299,\n   0.008251251176056077,\n   0.009428708682202148,\n   0.009735759290815882,\n   0.011384252015223036,\n   0.011588367543398792,\n   0.011671795647933816,\n   0.012197936528090427,\n   0.010655444143550987,\n   0.010411649965177242,\n   0.009344221080541705,\n   0.008022346379967921,\n   0.007838246022864108,\n   0.009431968748209256,\n   0.010430648106328981,\n   0.01061039409426233,\n   0.010576358081096976,\n   0.010725155463842137,\n   0.010726903558233664,\n   0.01070753994024697,\n   0.01073843918254043,\n   0.010714584227506168,\n   0.010726864927399203,\n   0.010671884295851862,\n   0.010706993279794316,\n   0.01070192714833286,\n   0.010681523686795792,\n   0.010689999538139447,\n   0.010666597388718176,\n   0.010636639604275898,\n   0.01061795008478503,\n   0.010536675576513733,\n   0.010561255133190008,\n   0.010594260088833598,\n   0.010527688896884777,\n   0.010537631792892677,\n   0.010454513810591681,\n   0.010553233132595615,\n   0.010507490938760721,\n   0.010572561879179189,\n   0.010498913302648452,\n   0.01041891507492922,\n   0.01046094415399775]],\n [53,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.01057787903063944,\n   0.010567462803283202,\n   0.010551296601677671,\n   0.010562815685158669,\n   0.009907897645753195,\n   0.009838772427113032,\n   0.010792205348151018,\n   0.010744501565031815,\n   0.010691232256257793,\n   0.010774259612722648,\n   0.01076180192695408,\n   0.010834591265002021,\n   0.010790022433385846,\n   0.010788172900348576,\n   0.010186593476638982,\n   0.00960962100096801,\n   0.010455450151259732,\n   0.010540668407379035,\n   0.010706746427727011,\n   0.010220191095864662,\n   0.008797749664221853,\n   0.008472617108183929,\n   0.007376760449559945,\n   0.009480023898049767,\n   0.01129440206385985,\n   0.011518211916515926,\n   0.011527766838418834,\n   0.009929593454205571,\n   0.010406059723399114,\n   0.010188158346655039,\n   0.008698230967187833,\n   0.0069504552693398615,\n   0.00645998333705275,\n   0.005663103189731358,\n   0.005004643842945588,\n   0.004949130499669658,\n   0.004213282932703323,\n   0.002982133010099146,\n   0.0038659230779267747,\n   0.007038334312627136,\n   0.01047656162076473,\n   0.010598405704026526,\n   0.009680269465378743,\n   0.007570176391840997,\n   0.009590887028243808,\n   0.011054313971247457,\n   0.01197008644992239,\n   0.010373037072917365,\n   0.010691369416233915,\n   0.010684521758843324,\n   0.008455784051228397,\n   0.005994788331757005,\n   0.003465886703045761,\n   0.0,\n   0.004472783431675202,\n   0.0056290637643575375,\n   0.004909512274000959,\n   0.010486913507764714,\n   0.010789985272885898,\n   0.010658858065277218,\n   0.010663175609690384,\n   0.009008650662321314,\n   0.008907913992629713,\n   0.010096422545558916,\n   0.010252509815724257,\n   0.011577220636210502,\n   0.011857071986641444,\n   0.011967399006876123,\n   0.01225337847653631,\n   0.011148248938340231,\n   0.01093230671527928,\n   0.010306863751507252,\n   0.009212275064091007,\n   0.008588739864774026,\n   0.009816290215388908,\n   0.010595619327982619,\n   0.010742177855012332,\n   0.01070108558563784,\n   0.010813555095934704,\n   0.010821148227537413,\n   0.010809105267465221,\n   0.010832372687678702,\n   0.010823063279327076,\n   0.010817427566222153,\n   0.010783128152781438,\n   0.010819649931912687,\n   0.010803055601527613,\n   0.010786785396106769,\n   0.010804847474636723,\n   0.010789726307261854,\n   0.010769327658339382,\n   0.010726767531961317,\n   0.010677393140114904,\n   0.01066213923714095,\n   0.010734311416332793,\n   0.01065142634547963,\n   0.010641599712584746,\n   0.01061928438114033,\n   0.010690917871762696,\n   0.01065319275454021,\n   0.010709901040989725,\n   0.010651410280081106,\n   0.010584431364088069,\n   0.010624731981767528]],\n [54,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.010452665498220645,\n   0.010414372707518044,\n   0.010386686993503667,\n   0.010349504510840319,\n   0.009863160920446928,\n   0.009799942797939184,\n   0.010622497891133974,\n   0.010609047672043147,\n   0.010551868976595557,\n   0.010653748706272547,\n   0.010628224626590115,\n   0.010702885141187753,\n   0.010666388566901339,\n   0.010685953418543075,\n   0.010067997897291013,\n   0.009608523490141378,\n   0.010361389839074722,\n   0.010425854295722197,\n   0.010583005342468928,\n   0.010171575298920823,\n   0.007441853368563145,\n   0.007289235738647358,\n   0.004959350416285305,\n   0.00744451710515085,\n   0.010762812922158499,\n   0.011117832064060635,\n   0.0111177784612393,\n   0.009696742750025392,\n   0.010065199222335836,\n   0.009954351253026083,\n   0.007199668172079644,\n   0.004157094935396425,\n   0.002680168732990155,\n   0.003196261026313432,\n   0.006215859521172041,\n   0.007179859144448366,\n   0.006662574651146947,\n   0.00393418853699109,\n   0.006514082574173111,\n   0.008504695601256624,\n   0.010345582858419114,\n   0.010483435402345406,\n   0.009615048510295614,\n   0.009271094609501398,\n   0.011313395417305397,\n   0.012406506479094645,\n   0.012254750482911032,\n   0.010357839329580749,\n   0.010597363167756304,\n   0.010595866707007708,\n   0.008894218900928662,\n   0.008382702689102621,\n   0.006915641857917991,\n   0.004463114819305761,\n   0.0,\n   0.0018651952243797319,\n   0.005172620523873942,\n   0.010361233503191682,\n   0.010647103087603324,\n   0.010533754088527698,\n   0.010526088332633797,\n   0.009045159789459852,\n   0.00973954923659605,\n   0.01049852206106361,\n   0.01046262440466459,\n   0.011815508629780305,\n   0.012210386509096366,\n   0.012480715768497266,\n   0.01267315823611742,\n   0.011649830393661091,\n   0.011461250016926747,\n   0.011689465982128994,\n   0.010456099750587994,\n   0.00938062918064476,\n   0.009946777182089044,\n   0.010485165137424157,\n   0.010649560021637939,\n   0.01059533454555905,\n   0.010676055817679388,\n   0.010690999434966424,\n   0.010692568975718877,\n   0.010706173336463525,\n   0.010709272987560354,\n   0.010692780831481617,\n   0.010671408240683926,\n   0.010703292363132956,\n   0.010693349216120139,\n   0.01066663982553468,\n   0.010702486979426275,\n   0.010687567856362294,\n   0.01066041422281949,\n   0.010572206134431487,\n   0.010574460075923555,\n   0.010506833012860732,\n   0.010633820460264109,\n   0.010503042002955636,\n   0.010482487430668921,\n   0.01054271379349132,\n   0.010583387167422775,\n   0.010540237759282086,\n   0.010602307249589103,\n   0.010557829019857239,\n   0.010492187671097244,\n   0.010513764507772428]],\n [55,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.010391357782571418,\n   0.010327284525722019,\n   0.010293137938296898,\n   0.010225445596195336,\n   0.00972190958375867,\n   0.009709539796634076,\n   0.01056150969019056,\n   0.010536087751943668,\n   0.010476705341418998,\n   0.010598653661152146,\n   0.010573373285256947,\n   0.0106497020130561,\n   0.01060531370394216,\n   0.010632181118644165,\n   0.009960060408437851,\n   0.009530481134476613,\n   0.010286900318548618,\n   0.010370818148646852,\n   0.01051947160709109,\n   0.010080075831226776,\n   0.006805487970408284,\n   0.007112450278806714,\n   0.004033484881241629,\n   0.006696457206528336,\n   0.010791301561378148,\n   0.011135243100303784,\n   0.011133125322989776,\n   0.009629016248480254,\n   0.00987727946385713,\n   0.009764281616093311,\n   0.006588894759997749,\n   0.003013497138349516,\n   0.0015328032277088712,\n   0.0027511015623020623,\n   0.0068102452819485204,\n   0.007923611820539354,\n   0.0074488167444176434,\n   0.005188681931796593,\n   0.0075476097765644155,\n   0.008795184424958184,\n   0.010260285129801936,\n   0.010427758413045336,\n   0.009528747830352916,\n   0.009616545852202287,\n   0.01164556291403867,\n   0.01262181070198712,\n   0.012190171539609544,\n   0.01025500213478809,\n   0.010534549229635433,\n   0.010521853679209572,\n   0.008879235562651279,\n   0.009014421681171662,\n   0.007988600764334199,\n   0.005921926343240164,\n   0.0019664863612848015,\n   0.0,\n   0.005254965143986363,\n   0.010266901827038568,\n   0.01058386209501447,\n   0.010463746508445781,\n   0.01045986864208667,\n   0.008884819795108459,\n   0.009911442705466025,\n   0.010542257795714736,\n   0.0103919142249266,\n   0.011906840714266287,\n   0.012373013996731533,\n   0.012774631492822956,\n   0.012977356491202154,\n   0.011724678717294322,\n   0.011476564906445417,\n   0.01205917730303154,\n   0.01069802875099883,\n   0.009512400896866259,\n   0.009881859602073401,\n   0.010405828045336851,\n   0.01059168030096715,\n   0.010529548643794366,\n   0.010612000158491936,\n   0.010632080445061615,\n   0.010636011515156342,\n   0.010648830356408153,\n   0.010652328382319262,\n   0.010636590685305349,\n   0.010617410095953218,\n   0.010641739472549438,\n   0.010637665284818425,\n   0.010609259131761656,\n   0.010652216160524367,\n   0.010624922523380114,\n   0.010599191016580098,\n   0.01048670894022824,\n   0.010509389278452925,\n   0.010426766711593356,\n   0.010571336614189686,\n   0.010411002758960718,\n   0.010399730335720052,\n   0.010471840229801035,\n   0.01051405595452434,\n   0.010456394442531096,\n   0.010533587031216013,\n   0.010488659358533926,\n   0.010428548118179042,\n   0.010428804704906636]],\n [56,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.010106938001040443,\n   0.010041400953185581,\n   0.010013454197364983,\n   0.009960841777862085,\n   0.00887381953360953,\n   0.00947271826854577,\n   0.010424418705724373,\n   0.010364510917356504,\n   0.01023007246416395,\n   0.01043030600538325,\n   0.010392359305940232,\n   0.010494931155246426,\n   0.010415900585007219,\n   0.01042434234777057,\n   0.009415656755023668,\n   0.00858003400743593,\n   0.009888137807571754,\n   0.01003406725614816,\n   0.010251482806729533,\n   0.009409362312223007,\n   0.008966240942224634,\n   0.008434309833195137,\n   0.006899245419643471,\n   0.010057479272524282,\n   0.01303539625926329,\n   0.012794482968757358,\n   0.01281042080034836,\n   0.009494420165319881,\n   0.009795109315268533,\n   0.009548823409522525,\n   0.00795199443022023,\n   0.0069748080844746355,\n   0.008492728222156947,\n   0.006278329316944739,\n   0.004512608486624516,\n   0.005277897958164458,\n   0.0047383675411653454,\n   0.007349081445928659,\n   0.006226808566876393,\n   0.00577872007907848,\n   0.009850553652313365,\n   0.010104546196194414,\n   0.008561559745915336,\n   0.00684363403811955,\n   0.010300302646022816,\n   0.012486333445813404,\n   0.013232896579581417,\n   0.009568441242226474,\n   0.010236469588461897,\n   0.010193434858677962,\n   0.00698637216378736,\n   0.007156090794402145,\n   0.007228302385880159,\n   0.007520783751539189,\n   0.00794099971980393,\n   0.0076518730804247025,\n   0.0,\n   0.009828147850101606,\n   0.010405430606900037,\n   0.010176077362844572,\n   0.010195620467284528,\n   0.007234514719773451,\n   0.009234851929707648,\n   0.009967877119927705,\n   0.009928472188559738,\n   0.012797123847415522,\n   0.013060949382377814,\n   0.013554854922983275,\n   0.014038495968300889,\n   0.011569860430290235,\n   0.010867082475262866,\n   0.011296486070216962,\n   0.009181808413855514,\n   0.0076568378602018886,\n   0.008910220643706725,\n   0.010080767359865695,\n   0.010346651870475733,\n   0.010280321644597102,\n   0.010468333027877376,\n   0.010489937377549233,\n   0.010479168331255909,\n   0.010528425935766413,\n   0.010502194578817407,\n   0.010501565610050348,\n   0.010444883244067164,\n   0.010495269447525435,\n   0.010489605378869508,\n   0.010471504681262539,\n   0.010532686927204337,\n   0.010429297488681339,\n   0.010397664985737428,\n   0.01027443985787395,\n   0.010266152151013643,\n   0.01021561044013776,\n   0.010318033300861475,\n   0.010163869165019289,\n   0.010136087864018935,\n   0.01010531636431295,\n   0.010280238885891555,\n   0.010151681798298274,\n   0.010295242581002565,\n   0.010186130882307649,\n   0.0101369763797446,\n   0.010122608610003907]],\n [57,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0030711909342109297,\n   0.0029743262927296433,\n   0.0029427043773972363,\n   0.003542612506174595,\n   0.006194225964325197,\n   0.007894248259203682,\n   0.003625870177037493,\n   0.0032873971372717067,\n   0.0029077174153004834,\n   0.002992748692224737,\n   0.003014759692418332,\n   0.0030854007614660095,\n   0.0030131251455342177,\n   0.002869602285262409,\n   0.004394739521049894,\n   0.005060760677135693,\n   0.0028484375530253812,\n   0.0016403141701480867,\n   0.001748796699287704,\n   0.002239917888657854,\n   0.021734354347099194,\n   0.01710923239859528,\n   0.020043693761621056,\n   0.02088717225568189,\n   0.019549357183135958,\n   0.016518914446334323,\n   0.016743413661765783,\n   0.0077424117164740765,\n   0.004960439992465641,\n   0.006757514604630513,\n   0.016868873343165253,\n   0.02241464975878124,\n   0.02789300614410829,\n   0.02392866905362054,\n   0.018322202101180397,\n   0.021170495068985613,\n   0.020768060783599718,\n   0.029573744151241897,\n   0.02510796119600866,\n   0.016550570967434102,\n   0.0011122045446388187,\n   0.0015096019340690135,\n   0.003095615558333526,\n   0.01699203343008261,\n   0.021697821849269265,\n   0.024212397016485723,\n   0.022235328278324366,\n   0.0023632298078942616,\n   0.0020176236180086257,\n   0.0016439813881216655,\n   0.007856190415586908,\n   0.020374784743000692,\n   0.025919071912153493,\n   0.029373561000623823,\n   0.029084405143067867,\n   0.02733515179708672,\n   0.01797032136359332,\n   0.0,\n   0.0017483069216637915,\n   0.0014135882348644696,\n   0.0015285519577263376,\n   0.00789230903996504,\n   0.019073732935414856,\n   0.012316991801498445,\n   0.00925280166642784,\n   0.01808112958643791,\n   0.0196716598551117,\n   0.022349352130205977,\n   0.02348146839663686,\n   0.017512355695845985,\n   0.017175643293554643,\n   0.023224794363370476,\n   0.016706983279773407,\n   0.010908114555459286,\n   0.005850656239184112,\n   0.001990151652976503,\n   0.0017002869250532082,\n   0.0019035143985609844,\n   0.0028739416386287958,\n   0.0028918628549979473,\n   0.0030953241781602895,\n   0.00335082562543347,\n   0.0034347336598352426,\n   0.003399380326993128,\n   0.003355153888626467,\n   0.003413643764864911,\n   0.0034697475773028557,\n   0.0035111861857512303,\n   0.0036526302820429667,\n   0.0027579977575871014,\n   0.0019128772890578717,\n   0.001930413921464731,\n   0.001908241186067672,\n   0.0018961524118310334,\n   0.0016971363252525837,\n   0.0021809608919287045,\n   0.0017258700438964642,\n   0.0018313188858814658,\n   0.00228187440983533,\n   0.0020090355519499547,\n   0.0020929162445389813,\n   0.002198809442947822,\n   0.0023380223378322348,\n   0.002220593501427711]],\n [58,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0028734458609896117,\n   0.0029016800156091383,\n   0.003007721839960459,\n   0.003661438656064392,\n   0.006741690938669959,\n   0.008108994198971303,\n   0.003163479632637545,\n   0.0028756986368254803,\n   0.0026879066725681356,\n   0.0026074567510265528,\n   0.0025413449416305566,\n   0.0025614899564590276,\n   0.002572405094364876,\n   0.0023648355854175213,\n   0.004687525480829106,\n   0.005671135098933081,\n   0.002935490314495187,\n   0.0012452868523226768,\n   0.001174617338572397,\n   0.0027540765075529773,\n   0.022352594835969464,\n   0.017335469197722938,\n   0.020463016968564368,\n   0.02118059007898197,\n   0.01936295759655966,\n   0.016254149644784416,\n   0.01645080928115238,\n   0.0076659766510546005,\n   0.004817513016285882,\n   0.006690900473547616,\n   0.01718386918238358,\n   0.02281019936965977,\n   0.02821313591923477,\n   0.024372995218806544,\n   0.01879866637581086,\n   0.021736504888978565,\n   0.02129620213749,\n   0.029975590429022193,\n   0.025602574944027897,\n   0.017470636852998895,\n   0.0014794219750137228,\n   0.0010582757100918996,\n   0.003939816918024517,\n   0.017691743625923777,\n   0.022406362430680598,\n   0.024969418652325468,\n   0.02313282190688724,\n   0.003381786973871385,\n   0.0015614293880544773,\n   0.0015290209741012143,\n   0.008795797022754941,\n   0.020786174622567235,\n   0.026297090515725936,\n   0.029697081809340147,\n   0.029367311729597983,\n   0.02768919072886583,\n   0.018695118808191916,\n   0.001717915058945923,\n   0.0,\n   0.0007273629720026721,\n   0.0007971528845779079,\n   0.00892403208458637,\n   0.019217200968642965,\n   0.01239323424198703,\n   0.009600714509876169,\n   0.018029295249342395,\n   0.019522226858573365,\n   0.022137754175659188,\n   0.02331155669426411,\n   0.01783940074489902,\n   0.017762480997578625,\n   0.02349593202620882,\n   0.016981624033014172,\n   0.01125596190084602,\n   0.00638575392563288,\n   0.001548380598824228,\n   0.001006393790855209,\n   0.0011572877283210312,\n   0.0023276604506900574,\n   0.002262131682160915,\n   0.002530800514116968,\n   0.002840375179361168,\n   0.0030038620762455055,\n   0.002997713201262616,\n   0.0029295961631537215,\n   0.0029708368390950974,\n   0.003042370933581928,\n   0.00310551712863403,\n   0.0032351169526447115,\n   0.002353408592454309,\n   0.0013054808754209152,\n   0.0015259336803614212,\n   0.0014280907416103345,\n   0.0012669610496700192,\n   0.0012167145799665826,\n   0.0020865996742009773,\n   0.0014505618185598876,\n   0.0016498305306569768,\n   0.0017558689732146038,\n   0.0019643781821875477,\n   0.0016245255031060082,\n   0.0016867255075103636,\n   0.0019462342651341336,\n   0.0020311062314060267]],\n [59,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.002829263525212075,\n   0.0028391585380692884,\n   0.002918879533749635,\n   0.003523031251379699,\n   0.006513872109476964,\n   0.008144088106331826,\n   0.0033121165370974255,\n   0.0028603173453463308,\n   0.002683351018984157,\n   0.002719161536493881,\n   0.002687761269444058,\n   0.002703442913796426,\n   0.0026484995933459808,\n   0.002452830467786409,\n   0.0044791055127037125,\n   0.005371565377081695,\n   0.0028824388865325962,\n   0.0012359405027711939,\n   0.0012454716431999822,\n   0.0024144748893677646,\n   0.02240985262564984,\n   0.017420881799584113,\n   0.020549669469721334,\n   0.021353336610057592,\n   0.019585038664654063,\n   0.016479576267215502,\n   0.01666197722925317,\n   0.007607005013359349,\n   0.004841431222953672,\n   0.006651843127535141,\n   0.017236683093588116,\n   0.022970850638253267,\n   0.028482026412999528,\n   0.024524767126096005,\n   0.018784516507638797,\n   0.021760286223159765,\n   0.021316290966838552,\n   0.03018622570926705,\n   0.025698809767954644,\n   0.017377747958430882,\n   0.0012742174735849458,\n   0.0008461010214728187,\n   0.0035902715378898662,\n   0.01764949440008271,\n   0.02247937020239844,\n   0.025112118209461062,\n   0.023263776607873512,\n   0.003126827330605491,\n   0.0014929370846857358,\n   0.0014797298082544008,\n   0.008528601630629037,\n   0.02087244589276867,\n   0.026457731730144585,\n   0.029927766648465175,\n   0.029640574437555047,\n   0.027926982105046516,\n   0.01865173680757596,\n   0.0014170254097478107,\n   0.0007420307363042115,\n   0.0,\n   0.0006649727700612146,\n   0.008611007719982536,\n   0.01926459775932936,\n   0.012407480052790198,\n   0.009530096641248077,\n   0.01815146714925907,\n   0.019684000864537074,\n   0.022356512910493957,\n   0.023541930959658362,\n   0.017891642359657553,\n   0.017720608824884326,\n   0.023620063432719635,\n   0.017018159040953402,\n   0.0111475198399933,\n   0.006111492211227505,\n   0.0013930676787452026,\n   0.0009377028982741036,\n   0.001125293999368496,\n   0.002401532384469704,\n   0.0023599854175952667,\n   0.0026173970600247443,\n   0.0029396913474458355,\n   0.0031119992646532644,\n   0.0030805757810530524,\n   0.0030237094921488406,\n   0.0030411334414041317,\n   0.0031209254686680845,\n   0.003228930307908105,\n   0.0033419766108289,\n   0.0023837415571809125,\n   0.0013132200386383487,\n   0.0014381553686791473,\n   0.0012912583096328228,\n   0.0012092218113048732,\n   0.0011307735740814131,\n   0.001866446987367788,\n   0.001304367057054191,\n   0.0014110839363603894,\n   0.0016880675102779576,\n   0.0017669410735748857,\n   0.0015615888799595731,\n   0.0016385497305387898,\n   0.001816744663933675,\n   0.0018910397451048322]],\n [60,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.002728873154696324,\n   0.0027495852294673025,\n   0.002771986798976169,\n   0.0034440433642879626,\n   0.006568506998056099,\n   0.008074333954822072,\n   0.003179760724211545,\n   0.0028850608902370517,\n   0.002646003525608615,\n   0.002673804127631421,\n   0.002645742559979607,\n   0.002692850807658588,\n   0.0026366868089051456,\n   0.002471666898098982,\n   0.004492207559885116,\n   0.005495989432175424,\n   0.0030382921323587444,\n   0.001130399606630735,\n   0.0012829768676485337,\n   0.0025434120071248624,\n   0.022486547028657523,\n   0.017457149867276676,\n   0.02051236243066682,\n   0.02135542423277245,\n   0.019663236458180945,\n   0.016579092881382037,\n   0.01676373991494283,\n   0.00779995167313286,\n   0.005005851640550479,\n   0.006816932069686666,\n   0.017294162674816493,\n   0.022931260854115693,\n   0.028403470859995353,\n   0.02448065541210675,\n   0.018808656473891544,\n   0.021779347440048002,\n   0.021313399633925784,\n   0.030127082319450983,\n   0.025690196178402114,\n   0.017459261305702953,\n   0.0013009676461762608,\n   0.0008998585863537591,\n   0.0036507033755708703,\n   0.017724910909455483,\n   0.022564985980178327,\n   0.025213987722150787,\n   0.023399949354612145,\n   0.0033153370446483226,\n   0.0014143118324004389,\n   0.0014610723285826024,\n   0.008652205619770289,\n   0.020874171987533142,\n   0.026438174777857985,\n   0.029895062434893874,\n   0.02957465752202132,\n   0.027874834700554116,\n   0.018659577774003015,\n   0.0015299745089190698,\n   0.0008120104189300619,\n   0.0006639771519189386,\n   0.0,\n   0.008751508254879534,\n   0.019387812375949456,\n   0.012446289551686463,\n   0.009573771970176547,\n   0.01819372963994288,\n   0.0196871837597925,\n   0.022375743003663764,\n   0.023575893999845086,\n   0.01798414513575585,\n   0.017842759097191095,\n   0.023718511507261165,\n   0.017086892146080206,\n   0.011196906395835426,\n   0.006273310218814785,\n   0.0015318798298891991,\n   0.0009500033150108009,\n   0.0010937780235758061,\n   0.0023753455452797537,\n   0.002353004816104925,\n   0.0026086199309515727,\n   0.0028740235971581127,\n   0.003058294024860913,\n   0.003015381145980406,\n   0.002942458426251332,\n   0.002975320501657244,\n   0.0030364946204245965,\n   0.0031208775785444985,\n   0.0032569538594255836,\n   0.0023413721461341954,\n   0.0011756774418986743,\n   0.0013497794878910307,\n   0.00127341686678987,\n   0.0009645431427958061,\n   0.0010314322516475057,\n   0.0017599870371148192,\n   0.001024118301289334,\n   0.0013342474101365066,\n   0.0015356939691529175,\n   0.0016729300007040581,\n   0.001436564847150635,\n   0.0015081177659472995,\n   0.0016692109905222952,\n   0.0018353195941400537]],\n [61,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.006827065133771625,\n   0.0067039474662605346,\n   0.006659113109624249,\n   0.006485939214823885,\n   0.004924134186879194,\n   0.008108527993786281,\n   0.007701184198367335,\n   0.007411778360679683,\n   0.007232029106342477,\n   0.0075095479508622085,\n   0.007483129795117332,\n   0.0076292484897547246,\n   0.0075167617674869675,\n   0.007495810915156953,\n   0.005683029457999705,\n   0.004913933743251874,\n   0.006772423614085455,\n   0.0069940023313703695,\n   0.0069983689987816,\n   0.00554266918243299,\n   0.013738674711182362,\n   0.011256842323948569,\n   0.013858267848994145,\n   0.014787855832542865,\n   0.014796906248630238,\n   0.013271209078025224,\n   0.013361646102942352,\n   0.0069025105235757025,\n   0.00735436279442537,\n   0.007192613106034632,\n   0.010444115013714086,\n   0.015528850974952563,\n   0.020081968173213203,\n   0.01621370945138927,\n   0.01136934348782067,\n   0.0136413436778972,\n   0.013484992701894205,\n   0.020538524894270854,\n   0.016721445861964952,\n   0.009803552012806045,\n   0.006599769060411271,\n   0.006980069897697982,\n   0.004790466012909759,\n   0.010469868697457599,\n   0.014477600494065978,\n   0.016480264452651803,\n   0.015490676433244943,\n   0.005792753072246819,\n   0.006988915152442098,\n   0.0068966546610349224,\n   0.004964487198679334,\n   0.014019449866199468,\n   0.017856152771011012,\n   0.020557272746434884,\n   0.020685299147343673,\n   0.019272033523700587,\n   0.010776814442986834,\n   0.00642985117199935,\n   0.0073990157435153865,\n   0.006998357123458232,\n   0.007123210121229263,\n   0.0,\n   0.011955376533032162,\n   0.00955949477606835,\n   0.007599691679031931,\n   0.013743014634405724,\n   0.015228008591697765,\n   0.017112756602458853,\n   0.01775751000641784,\n   0.012495014229192707,\n   0.011404753071884974,\n   0.01587783067254569,\n   0.011199757477667131,\n   0.006936078013653429,\n   0.004752780578408695,\n   0.006863707896976883,\n   0.007317878793662297,\n   0.007263807892036178,\n   0.007617484809885962,\n   0.007630945443678573,\n   0.007681032443930864,\n   0.007762360277112642,\n   0.007733168007766974,\n   0.007721716435062326,\n   0.007650097804679382,\n   0.007656341792981795,\n   0.007730709990924477,\n   0.007746700244907874,\n   0.007855562093325216,\n   0.007452050813943281,\n   0.007340418593165069,\n   0.007189881317602534,\n   0.007212498228165657,\n   0.007254627517975073,\n   0.007153379558067627,\n   0.006683498950255493,\n   0.006990229892645339,\n   0.00679167579380583,\n   0.0071593535947283545,\n   0.006781271890042218,\n   0.007212803343186823,\n   0.007103293122983766,\n   0.00704940477304341,\n   0.006781670189211889]],\n [62,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.009418671503012182,\n   0.009519822354636236,\n   0.009529839969480597,\n   0.00943243518565803,\n   0.008372744922547568,\n   0.009302902784848811,\n   0.009889793473078246,\n   0.009698546966534938,\n   0.009748713169579084,\n   0.009826303223800383,\n   0.009812112465881274,\n   0.009845885281866843,\n   0.009843396710969394,\n   0.009782173110707077,\n   0.008484960674194453,\n   0.008147912099340097,\n   0.009578053322470161,\n   0.009685103767947133,\n   0.009655801174544806,\n   0.009023835615218181,\n   0.010922353252090749,\n   0.008928420358043487,\n   0.011139789983286501,\n   0.011628083710629575,\n   0.011517924899641855,\n   0.011380044844857357,\n   0.011229856413431346,\n   0.008464306497467374,\n   0.009794368265501922,\n   0.009063181684648165,\n   0.00924823070402879,\n   0.011838097205253958,\n   0.01390214630329726,\n   0.011387392109847273,\n   0.008256823752293033,\n   0.009959366627587,\n   0.00913453056609863,\n   0.013281263973782624,\n   0.011200608843139627,\n   0.008748913847205426,\n   0.009623797697289618,\n   0.009717493462585162,\n   0.008873508896219151,\n   0.007798497032077401,\n   0.01038525477703771,\n   0.012057172573740796,\n   0.012900576808443615,\n   0.009373011495407728,\n   0.009677897468057398,\n   0.00971044248188884,\n   0.008088011694736186,\n   0.008186320431159539,\n   0.010375557183009521,\n   0.012543477293686262,\n   0.013744235912280018,\n   0.013266365994294142,\n   0.00848881595764885,\n   0.009588898388043016,\n   0.009831938226761362,\n   0.009661359631228104,\n   0.009737732448702244,\n   0.0073773338915849316,\n   0.0,\n   0.006754627496107427,\n   0.008183694943331363,\n   0.009923522900794495,\n   0.009153771494473363,\n   0.008565243334741643,\n   0.010113789538445045,\n   0.009056652985220242,\n   0.009059152073249845,\n   0.006987820293066362,\n   0.005033203803147693,\n   0.006189302881533814,\n   0.007504519441039288,\n   0.009258670221349935,\n   0.009790768667795423,\n   0.009780499526524511,\n   0.00986764855385716,\n   0.009904085610800042,\n   0.009858380629220304,\n   0.00990196856467039,\n   0.009944342319963708,\n   0.009970373393965056,\n   0.00982492697151544,\n   0.009874800840936466,\n   0.009914824287262272,\n   0.00991543153582808,\n   0.009974395583500611,\n   0.009837001790772943,\n   0.009809003892517206,\n   0.009753933105987617,\n   0.009774338866556043,\n   0.009768251110807489,\n   0.009777072315773532,\n   0.00957190643233265,\n   0.009663925612665495,\n   0.00948903074931489,\n   0.00966557063434661,\n   0.009597065273298759,\n   0.009779702608557027,\n   0.009602723526367932,\n   0.009516050521942238,\n   0.009455594302090472]],\n [63,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.007756874647770059,\n   0.007953754218946599,\n   0.00794662873640164,\n   0.007909324735453659,\n   0.007022466081943284,\n   0.007316751715823518,\n   0.008369868741164818,\n   0.008263671094240376,\n   0.008220868313092726,\n   0.008127064134940638,\n   0.008237713723729223,\n   0.008276898226792657,\n   0.008224772853276684,\n   0.008301444167736014,\n   0.007179715007731663,\n   0.006868806756983542,\n   0.007970488821732577,\n   0.008126013470332094,\n   0.008077726363525916,\n   0.0077026015225485816,\n   0.01422474156049469,\n   0.012027964091530403,\n   0.014291805856369338,\n   0.014328716372779719,\n   0.012988893061288283,\n   0.011868727680306591,\n   0.01178388581010794,\n   0.00773879867427402,\n   0.008310091198889188,\n   0.007538226023336457,\n   0.011942234150030689,\n   0.015756270363780227,\n   0.0190399477148443,\n   0.01655012697515276,\n   0.012905215374157125,\n   0.014537002916540318,\n   0.013433642696031782,\n   0.01969786175294544,\n   0.016876875037747593,\n   0.011442582331984643,\n   0.008018238130391932,\n   0.008276529270255491,\n   0.007899524927570538,\n   0.010364797436055662,\n   0.013203074646880591,\n   0.014910637131241408,\n   0.014984466500562085,\n   0.007907665809038768,\n   0.00807318641785289,\n   0.008049795390869596,\n   0.007741674287691813,\n   0.011251883316781933,\n   0.015491386167927654,\n   0.01857615784357077,\n   0.01935781569487608,\n   0.018437208783079587,\n   0.011971988719906698,\n   0.00809066302587137,\n   0.008284763388445212,\n   0.008130332941689872,\n   0.008167993279564547,\n   0.00770757151613872,\n   0.008825673266648553,\n   0.0,\n   0.004635004597074728,\n   0.007923202062380407,\n   0.007090350439702916,\n   0.008150285878487784,\n   0.009580990672076014,\n   0.007216742604764053,\n   0.008733304553686828,\n   0.010916628718426169,\n   0.008130401714358288,\n   0.007836540508550932,\n   0.005598696333929984,\n   0.007536598840250227,\n   0.008163713064234477,\n   0.008189749809914942,\n   0.008344779500203455,\n   0.008388917424540948,\n   0.008332361580673877,\n   0.008362493699424302,\n   0.008417089525710022,\n   0.008443618052925388,\n   0.00829452659640034,\n   0.008353277244761514,\n   0.008448661383040118,\n   0.008343082918598348,\n   0.008334255256786268,\n   0.008178333790121676,\n   0.008101333243121765,\n   0.008072264014569711,\n   0.00807474595744083,\n   0.00808167168449495,\n   0.00808725715409535,\n   0.007869155575763094,\n   0.00797465076815267,\n   0.007894284896906521,\n   0.007921721701360572,\n   0.00779211077851476,\n   0.007978785619641464,\n   0.007807265823478014,\n   0.007764341134162371,\n   0.007776714007604628]],\n [64,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.006539238014106174,\n   0.00667795070341838,\n   0.006760135805478811,\n   0.006689249822936581,\n   0.005665500458407713,\n   0.00571742596269073,\n   0.0075934350015177555,\n   0.007336665039778496,\n   0.0072407816917956025,\n   0.007074276006428206,\n   0.0072381554370356035,\n   0.007365395965672206,\n   0.0071990538980653655,\n   0.007318839326874216,\n   0.006214639770717708,\n   0.006000708970344383,\n   0.006932360266010774,\n   0.007056467626189014,\n   0.007011779169098633,\n   0.006527151505215931,\n   0.015138647366387351,\n   0.01258424820738496,\n   0.015570678397672767,\n   0.015104507046819256,\n   0.012755224283939827,\n   0.011317391187436347,\n   0.011325710933406485,\n   0.006895653527760185,\n   0.007489120025348995,\n   0.0068103799737839876,\n   0.012254108565759711,\n   0.01730175758793059,\n   0.021427795513984736,\n   0.018545136282951544,\n   0.014425847355811974,\n   0.016266389220459945,\n   0.01540288346923224,\n   0.0224726840842455,\n   0.019126955364944173,\n   0.012418381267475995,\n   0.006871029209924253,\n   0.007240297275822692,\n   0.0067513603260021815,\n   0.011690770299186725,\n   0.014730792571902934,\n   0.016171577086601278,\n   0.015415624788389074,\n   0.006581383582483992,\n   0.006902123613734598,\n   0.006845634044872893,\n   0.007156457382618353,\n   0.013420794948254551,\n   0.018239258822365413,\n   0.021508883355649825,\n   0.02199723610680347,\n   0.02072317960163594,\n   0.013597070299520122,\n   0.006930299604020113,\n   0.007318099376544366,\n   0.007120677971115204,\n   0.007164037435519546,\n   0.006986793250236561,\n   0.012192567539359331,\n   0.005285054438726507,\n   0.0,\n   0.008723959645400644,\n   0.010742189923336119,\n   0.013355469420904006,\n   0.01429839475233111,\n   0.009818794136002458,\n   0.010526302794897639,\n   0.015244211165557249,\n   0.010995869186556723,\n   0.008605571587341697,\n   0.00453853930685229,\n   0.0066578287165527834,\n   0.007069375741652327,\n   0.007087620081333791,\n   0.007404247061594292,\n   0.007419550010052216,\n   0.00739678027993988,\n   0.007428218964888562,\n   0.007492215313346988,\n   0.0074256178848382684,\n   0.007350699389482621,\n   0.007360820282345896,\n   0.007443382214711305,\n   0.007260184019499426,\n   0.007195720230625468,\n   0.007061105110829893,\n   0.006900209894179909,\n   0.0068906729991940335,\n   0.006851191350271457,\n   0.006975452966712744,\n   0.00695871083268323,\n   0.006462224744207593,\n   0.006846894510853094,\n   0.006745535673109917,\n   0.00668014531530467,\n   0.006567121460170305,\n   0.006790510796632812,\n   0.0066931642936491325,\n   0.006544653551419486,\n   0.006557131354929692]],\n [65,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.008609644676851302,\n   0.00862288214553023,\n   0.00874165602974766,\n   0.008600632810906414,\n   0.007825443407094464,\n   0.008477805905446088,\n   0.009110726910760711,\n   0.008987301381985311,\n   0.008996016660364927,\n   0.008930604768351336,\n   0.008984989346603028,\n   0.009037583282334274,\n   0.008958938369037666,\n   0.009056736312665315,\n   0.008144379665977643,\n   0.008138085495852836,\n   0.008914772397174246,\n   0.00897908100366967,\n   0.008885358308939979,\n   0.008687857795145052,\n   0.01132734556258175,\n   0.010501401047325238,\n   0.01239922229760196,\n   0.011268980689038796,\n   0.008763406018892833,\n   0.008622201043938033,\n   0.00835219969849012,\n   0.008000606651636466,\n   0.00913015214996097,\n   0.00849386210695974,\n   0.010139119880491747,\n   0.013625090502371132,\n   0.016143374603454302,\n   0.0143148368194486,\n   0.012030770497957118,\n   0.013057743341217922,\n   0.01254826552185547,\n   0.01665548089982803,\n   0.014654084208341762,\n   0.010920568933710802,\n   0.008877883658304334,\n   0.008994914961883729,\n   0.008728486695788481,\n   0.010547246076091326,\n   0.011902612016650998,\n   0.0126546351525648,\n   0.012572143422128017,\n   0.008813669981631111,\n   0.008887191211509589,\n   0.008861840801025738,\n   0.008944470435091544,\n   0.011515191308572266,\n   0.01408593464652878,\n   0.0160411607184619,\n   0.01640679351968091,\n   0.015681990656196583,\n   0.011574949414703066,\n   0.008944336404000266,\n   0.009076476915189048,\n   0.008957350825613476,\n   0.008991669047250598,\n   0.008344642533475628,\n   0.009764621721374265,\n   0.0059668323690441685,\n   0.005761790423388015,\n   0.0,\n   0.005264586359004485,\n   0.008127255599801143,\n   0.008313569198473125,\n   0.007104038721010178,\n   0.008116219661061616,\n   0.01123197893664439,\n   0.009814927103151632,\n   0.009151186154891147,\n   0.00725329132187709,\n   0.008750383823861495,\n   0.008973062461213275,\n   0.008989427571320568,\n   0.00909493012524548,\n   0.009099041782731581,\n   0.009081129360881866,\n   0.009074433130201502,\n   0.009124327806081309,\n   0.009094627456243105,\n   0.00908013040133655,\n   0.00909431887911446,\n   0.009131865994747853,\n   0.009061003716629145,\n   0.009018404067522603,\n   0.008940807553604154,\n   0.008950295706479164,\n   0.008921288939861946,\n   0.008909498396017101,\n   0.008911542515284959,\n   0.008929834579599063,\n   0.008620119632705802,\n   0.008880768206646988,\n   0.008827925703366603,\n   0.00872126461541147,\n   0.00866928758470322,\n   0.00883997789789015,\n   0.00880855098565777,\n   0.008752958160585213,\n   0.008733695823451166]],\n [66,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.008851011460312874,\n   0.00891141713426186,\n   0.008946642332642307,\n   0.008833009085315579,\n   0.00816607461946069,\n   0.00886592277509071,\n   0.009204859939876214,\n   0.009170306901583766,\n   0.009156225185377858,\n   0.009118931115499067,\n   0.00914909201100534,\n   0.009183443131812439,\n   0.009115085107545754,\n   0.009191736458403646,\n   0.008341102019842174,\n   0.008361189173760476,\n   0.00908536351807573,\n   0.009161059985356618,\n   0.009062310158359324,\n   0.008904918547575353,\n   0.012016147558164866,\n   0.011246691794032244,\n   0.012494828431183796,\n   0.01220432332948986,\n   0.01099741180696488,\n   0.010544854389170903,\n   0.010282548937286435,\n   0.008889556964659042,\n   0.009370376959606583,\n   0.008797325292790887,\n   0.011054289630282418,\n   0.013548761571689247,\n   0.015617664358846395,\n   0.013994832346449135,\n   0.011750775690443744,\n   0.01258591345136918,\n   0.01205717788044969,\n   0.015889940781525273,\n   0.014033679825471334,\n   0.01059640438502372,\n   0.00909257804218839,\n   0.009172376011797684,\n   0.00902233948778588,\n   0.009978071879046322,\n   0.011195043190448435,\n   0.012292346979223006,\n   0.012602642996039288,\n   0.009025715386687373,\n   0.009101973935946287,\n   0.009042416909300341,\n   0.009105595415574687,\n   0.010943462171853532,\n   0.013457454774595293,\n   0.015419434150808212,\n   0.01591329823986664,\n   0.01529465380612228,\n   0.01108768745030218,\n   0.009133202201490834,\n   0.009224172410464354,\n   0.009116764274284312,\n   0.009131911035876227,\n   0.008678173756535798,\n   0.008453744428816303,\n   0.005011529671812441,\n   0.006658802531383813,\n   0.004941101260381995,\n   0.0,\n   0.003978317079103142,\n   0.005726802153616441,\n   0.006311878302881821,\n   0.007380052273394445,\n   0.008821380161719624,\n   0.008502916574791486,\n   0.008853197304288105,\n   0.00765618943408857,\n   0.00883586524719049,\n   0.009144210679777495,\n   0.009155660454131093,\n   0.009230938398192098,\n   0.009264512844205552,\n   0.00922058821301606,\n   0.00921373696213172,\n   0.009276202950666418,\n   0.009256747233778282,\n   0.00920435610937089,\n   0.009235585225334155,\n   0.009269719808293683,\n   0.009240142011640572,\n   0.00921506230758465,\n   0.009122520136967844,\n   0.009129859868679181,\n   0.009071938026588474,\n   0.009103937941957869,\n   0.009081910943007716,\n   0.009106748530307147,\n   0.00891249720775888,\n   0.009024283523848525,\n   0.008971004546850205,\n   0.00893468551092355,\n   0.008884324281566835,\n   0.0090345792650493,\n   0.008937404396028236,\n   0.008927036137481649,\n   0.008913509509098763]],\n [67,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.009183487219049586,\n   0.009304436300615348,\n   0.009289128025321162,\n   0.009221969424872535,\n   0.008584054341660484,\n   0.00921427062773525,\n   0.009504168534775577,\n   0.009450439077049063,\n   0.009447639133187836,\n   0.009428383944898354,\n   0.00945763776185782,\n   0.009470189996825234,\n   0.009428649502664439,\n   0.009479802108155749,\n   0.008683314905666694,\n   0.008588106496419216,\n   0.009373612031810872,\n   0.009453703938417251,\n   0.009397488027314337,\n   0.009212747928968713,\n   0.011684021758896022,\n   0.010881813143897374,\n   0.01202794687192138,\n   0.012108761413866029,\n   0.01133936569332501,\n   0.010853443252336847,\n   0.010686786714613174,\n   0.009197089872924218,\n   0.009641063016944057,\n   0.009110778843237572,\n   0.01099810149565433,\n   0.01288967072673698,\n   0.014620585512917223,\n   0.013121512804952488,\n   0.011066767332265888,\n   0.011862146316523992,\n   0.011245863329461935,\n   0.014662452749559815,\n   0.01303526134130138,\n   0.010233595965836128,\n   0.009420990753541431,\n   0.00948450585222008,\n   0.009330755507473807,\n   0.009439850239802162,\n   0.010694464983649524,\n   0.011785820923836917,\n   0.012296699328436867,\n   0.009359739182779195,\n   0.009423299195609278,\n   0.009394030254900402,\n   0.009178743566425835,\n   0.01009502373552237,\n   0.012329837179787365,\n   0.014156951678196495,\n   0.014796168965834453,\n   0.014364533498033691,\n   0.010467430860638663,\n   0.009439000366802437,\n   0.009515039941965462,\n   0.009419121814228135,\n   0.00944135963078168,\n   0.00887123737293887,\n   0.007195612231229209,\n   0.0052402794348620635,\n   0.00753080609169094,\n   0.006938768798175113,\n   0.003618915083693373,\n   0.0,\n   0.0038345830254948392,\n   0.006002579614074434,\n   0.007109022419302377,\n   0.0064690219424586035,\n   0.0072813065150688855,\n   0.008549148630485047,\n   0.007986532265933466,\n   0.009088873684230135,\n   0.009467467773239714,\n   0.009478864685794992,\n   0.009520977372055867,\n   0.009552120170648161,\n   0.009496045926536066,\n   0.009515253900021926,\n   0.009555190765996544,\n   0.009566321648573729,\n   0.009479761267212674,\n   0.009516825227176458,\n   0.009564914670316498,\n   0.009536988754738894,\n   0.009528732256540069,\n   0.009432644710514995,\n   0.009447166532527803,\n   0.00940208698253946,\n   0.009444469068756331,\n   0.009426734420152866,\n   0.009433014680980078,\n   0.009327104020903093,\n   0.009341095718876022,\n   0.009270701656611383,\n   0.009313662429781386,\n   0.009267813915093532,\n   0.009378243279710074,\n   0.009241933943791069,\n   0.009251062710533576,\n   0.009252489455835356]],\n [68,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.009273714885466171,\n   0.0093535661572161,\n   0.009379521490487838,\n   0.009365915521187105,\n   0.008608739794414717,\n   0.009321809531163804,\n   0.009596448377706906,\n   0.0095032464900237,\n   0.009530937880023587,\n   0.009496101202439372,\n   0.009550435830874292,\n   0.009543192242446114,\n   0.00951628597733104,\n   0.009588608723493926,\n   0.008826754045190911,\n   0.008737463081782599,\n   0.009473944950671486,\n   0.009559652186784416,\n   0.009498259007555613,\n   0.009280921443315162,\n   0.01077718224060292,\n   0.01044228256062468,\n   0.011591497375638698,\n   0.011524711220482663,\n   0.010843870339212386,\n   0.01055854683404001,\n   0.010464500894539517,\n   0.00919902900584798,\n   0.0096702702991182,\n   0.009208686935441772,\n   0.010574382200637517,\n   0.012545202750171128,\n   0.014208677628522291,\n   0.012746047593057466,\n   0.010995089505657972,\n   0.011672184949504056,\n   0.011233600926843309,\n   0.01437183426163884,\n   0.012868421331717249,\n   0.01009160018791733,\n   0.009486333479390659,\n   0.009575214983567672,\n   0.009407356051903282,\n   0.009497952001336567,\n   0.010479207916670579,\n   0.011209649986360695,\n   0.011812925636086878,\n   0.00942602125977613,\n   0.009510490065868456,\n   0.009487924409061202,\n   0.009278762185873835,\n   0.010329285052653485,\n   0.012352602085558134,\n   0.013895630035478184,\n   0.014402804407452032,\n   0.013988843018438857,\n   0.010392456732117663,\n   0.009506895773572954,\n   0.009605074704415819,\n   0.009508255572698594,\n   0.00953625074255007,\n   0.008824674818000266,\n   0.008145061614059073,\n   0.005905333611390731,\n   0.007728976860256085,\n   0.006804221308708866,\n   0.004993943151298411,\n   0.0036759581772966366,\n   0.0,\n   0.00466410155230138,\n   0.006076127543094034,\n   0.006804281146659202,\n   0.008047844015064573,\n   0.009021730983797464,\n   0.008068867811128522,\n   0.009235178329448677,\n   0.009569618309542465,\n   0.009573349655850463,\n   0.00961904815702502,\n   0.009628789931379608,\n   0.009595182063590025,\n   0.009619296500511881,\n   0.00962586130637205,\n   0.00964208114337384,\n   0.009578960518432591,\n   0.009620078437137889,\n   0.009660481627488988,\n   0.00962087681867246,\n   0.009623129255424068,\n   0.009492226635313395,\n   0.00954032237355848,\n   0.009515132570967276,\n   0.009552063796593666,\n   0.009532408554529439,\n   0.009503903300489563,\n   0.009437491446828504,\n   0.00945281425177258,\n   0.009369927051298507,\n   0.009431255607091269,\n   0.009355949306638163,\n   0.00944118526831743,\n   0.009336664881319786,\n   0.009395483444073968,\n   0.009387042902280002]],\n [69,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.008932723910054735,\n   0.008942652855040374,\n   0.008930580790030496,\n   0.008907215255247436,\n   0.007791481199765579,\n   0.008828325476308232,\n   0.009321198185069842,\n   0.009207936467443627,\n   0.009156805114295261,\n   0.009130053024006884,\n   0.009221531963000146,\n   0.00925745332393051,\n   0.009202018034588855,\n   0.009288436150561514,\n   0.00830770571103717,\n   0.008001125202917177,\n   0.008931006952444283,\n   0.009200573299284984,\n   0.009159030512577713,\n   0.008700505524840026,\n   0.011195459607621916,\n   0.011304658651130247,\n   0.012697814913972693,\n   0.012657112254834504,\n   0.011894536710056932,\n   0.011145443424771447,\n   0.011208663000684942,\n   0.008982028801035517,\n   0.009273946115861256,\n   0.008742673920429333,\n   0.011231163745353398,\n   0.014021968682053446,\n   0.016442111697662486,\n   0.014490915655881937,\n   0.011805995959709959,\n   0.012386555110740778,\n   0.011980623762421915,\n   0.01664514593088631,\n   0.01422726234547827,\n   0.009247527145597316,\n   0.008987296064881491,\n   0.009262156598115722,\n   0.00885978584201757,\n   0.00891167374681621,\n   0.009645809061695064,\n   0.009871235625442981,\n   0.01027735061466742,\n   0.008520385203094309,\n   0.00911462281521815,\n   0.009043031875083872,\n   0.008233700395165704,\n   0.01076167296032017,\n   0.013661434379761118,\n   0.016005959498498746,\n   0.016762333195677645,\n   0.01600107546868413,\n   0.010843723233797632,\n   0.00897657598905594,\n   0.00930598598029071,\n   0.009148747348768064,\n   0.009209837156774,\n   0.007861511588952786,\n   0.009234233468598,\n   0.005631549384401177,\n   0.006719632775226153,\n   0.007361204715436728,\n   0.006968554364215922,\n   0.007285225619212231,\n   0.005905010291674191,\n   0.0,\n   0.0034918286327601544,\n   0.00791528874579607,\n   0.008256334623655106,\n   0.008880450493765233,\n   0.007231147500829097,\n   0.008841522305779267,\n   0.009229558185410878,\n   0.009246676540775435,\n   0.00932952323189895,\n   0.009336340014648132,\n   0.009325727881082144,\n   0.009340919405837346,\n   0.009320782089336902,\n   0.009334292579364327,\n   0.00929586945337543,\n   0.009319286136727103,\n   0.009386831053746943,\n   0.009344841431534438,\n   0.009350407481694759,\n   0.009128193395843597,\n   0.009168027328366921,\n   0.009128995092687598,\n   0.009171709324806621,\n   0.009223602545264227,\n   0.009098808133128746,\n   0.009005379168221564,\n   0.00908317209725238,\n   0.008930696140486994,\n   0.009050707980468245,\n   0.008878578158972795,\n   0.009023523799213368,\n   0.008976667379089554,\n   0.009043114482143772,\n   0.008939915535862437]],\n [70,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.009065140674596388,\n   0.008967687073097466,\n   0.008960954707781164,\n   0.008948150789112362,\n   0.007515148244717604,\n   0.009231717237861313,\n   0.009444514755437073,\n   0.009321739635251215,\n   0.00921975657370526,\n   0.009282159567022078,\n   0.009336029536029647,\n   0.009377693840758889,\n   0.00931557996037922,\n   0.009351508337249912,\n   0.008333297033745244,\n   0.008027026802851552,\n   0.008994177406884633,\n   0.009265359968437855,\n   0.009227602791056362,\n   0.008620101056768662,\n   0.011070440713505575,\n   0.011331648441325875,\n   0.012645348911585367,\n   0.012791474075812482,\n   0.01209635403896398,\n   0.011306722773645887,\n   0.01133096470760409,\n   0.009108285755685397,\n   0.00945761754406226,\n   0.008998312010817829,\n   0.011216775086810467,\n   0.013905180660688857,\n   0.016387597754950106,\n   0.014258971796533699,\n   0.011334491645428707,\n   0.011513301962125496,\n   0.011585001148494166,\n   0.01626026561689271,\n   0.013527474080583348,\n   0.00796615493559228,\n   0.008984296554182074,\n   0.009280800784554387,\n   0.008675291855625074,\n   0.00793624577590449,\n   0.007938705841929787,\n   0.008074973212990269,\n   0.009019919883247447,\n   0.008272497367792042,\n   0.00914680444550299,\n   0.009054340126213842,\n   0.007853915114101781,\n   0.010739734078992933,\n   0.013543084340069678,\n   0.01592429242106523,\n   0.01673093197538906,\n   0.01589034844046807,\n   0.010333240755426363,\n   0.008932076512284818,\n   0.009400675014863245,\n   0.009193128810554181,\n   0.009270378046550391,\n   0.0072799512514517125,\n   0.009371172961598638,\n   0.006914146336375025,\n   0.007308639223075706,\n   0.008532389031778893,\n   0.008266407191819316,\n   0.008753631124627268,\n   0.007804639060111907,\n   0.0035426333148682434,\n   0.0,\n   0.007480434281182062,\n   0.008213746523874537,\n   0.008678652744683447,\n   0.007258399655806061,\n   0.008980388016713579,\n   0.009300992303203871,\n   0.009322991260289586,\n   0.009416728406508004,\n   0.009433027281808861,\n   0.009422768507559074,\n   0.009462945840871373,\n   0.009410331932847632,\n   0.00942586473063962,\n   0.00939427504964936,\n   0.009403842431438431,\n   0.009462275088981646,\n   0.009455948990764879,\n   0.009480080115816296,\n   0.009217473474755093,\n   0.00926761445251367,\n   0.00921247190390846,\n   0.009269041422189145,\n   0.009315707035521582,\n   0.0091671511631596,\n   0.009060079813222542,\n   0.009162264471269747,\n   0.008954556896190773,\n   0.009157485649208551,\n   0.008962681811528728,\n   0.009140007515167517,\n   0.009082315907154288,\n   0.009148939757821313,\n   0.009011495056483142]],\n [71,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.009788291320637119,\n   0.009844840752947042,\n   0.00982689971508386,\n   0.009818137223142604,\n   0.008762912311191945,\n   0.009787826508923604,\n   0.010088545618944025,\n   0.009987288812969914,\n   0.009935202917071548,\n   0.010025729233955673,\n   0.010039336652202455,\n   0.010049389161191882,\n   0.010014688184468818,\n   0.010000223782760324,\n   0.009157933417468136,\n   0.008807091839851285,\n   0.009780667428978651,\n   0.00993632684486754,\n   0.009946693302293677,\n   0.009413648956486484,\n   0.011089481475494151,\n   0.010808840134718152,\n   0.01181286948623043,\n   0.012414464690730197,\n   0.012135195111515297,\n   0.011655338471984734,\n   0.011602894991493402,\n   0.009651245839174628,\n   0.010150567974498089,\n   0.009618314609676418,\n   0.01097318773175874,\n   0.012426209295973826,\n   0.013976695538814485,\n   0.012148990953885642,\n   0.009253902119484228,\n   0.009057299970338675,\n   0.008831070698005936,\n   0.012706677917046333,\n   0.010335396148220256,\n   0.007326910729805231,\n   0.009831127488978207,\n   0.009972555839800884,\n   0.009390567746773371,\n   0.006366522690109116,\n   0.007073891483240931,\n   0.0084229886576355,\n   0.010421905075297682,\n   0.009408685129921272,\n   0.009905792879389795,\n   0.00987428932861459,\n   0.008376002967432265,\n   0.007786753573311627,\n   0.009841386715135658,\n   0.012155981760128075,\n   0.013816498267283244,\n   0.013519304568748237,\n   0.008697253416932385,\n   0.009779270706530745,\n   0.010068464852640426,\n   0.009921582191547224,\n   0.009977874386467894,\n   0.00820632890061759,\n   0.0058527948215368044,\n   0.0069978345448167755,\n   0.008569999373163004,\n   0.009560669490418512,\n   0.008000351405112214,\n   0.006449590637874278,\n   0.007076579010316396,\n   0.006502123457150283,\n   0.006056782525621756,\n   0.0,\n   0.004433186020451877,\n   0.007215825673298617,\n   0.008215852833358064,\n   0.009639827966736462,\n   0.009995881936407438,\n   0.009997149896131603,\n   0.010078538548460228,\n   0.01011142130270847,\n   0.010062237564536142,\n   0.010108698200679394,\n   0.010093425549814074,\n   0.010131642658875131,\n   0.010039302345036565,\n   0.010064822017888527,\n   0.010111699917836519,\n   0.010103711977946133,\n   0.010144418540425871,\n   0.009990678368931586,\n   0.01001341840879687,\n   0.00997320849904486,\n   0.010003033254175182,\n   0.010020077422308385,\n   0.00996010269125622,\n   0.009909234742644567,\n   0.009900207397716456,\n   0.009706843901449196,\n   0.009952358178804188,\n   0.009816565638501345,\n   0.009947036082402577,\n   0.009792572897014615,\n   0.009831205151716706,\n   0.009766832647814229]],\n [72,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.00905128372404756,\n   0.0091562751732313,\n   0.009151772744983248,\n   0.009142686259916813,\n   0.008091219625031312,\n   0.009089046992541407,\n   0.009477803584208605,\n   0.009344128184791073,\n   0.009300241957586844,\n   0.009410227968662324,\n   0.009412921133198068,\n   0.009439657383131378,\n   0.009399337413978462,\n   0.009347993473385042,\n   0.00837001863744291,\n   0.00788756271713368,\n   0.009113338325724663,\n   0.009205068530164538,\n   0.009267193020747943,\n   0.008552478017888464,\n   0.012753304497539312,\n   0.011261211794729196,\n   0.012953952899903325,\n   0.013739289207310094,\n   0.013172671486193393,\n   0.012296241406077945,\n   0.012330378458440105,\n   0.009017269205026325,\n   0.00958541558179728,\n   0.00883612917582394,\n   0.011378341105753472,\n   0.013780585763120506,\n   0.01613625209812265,\n   0.013644815391862549,\n   0.00936370862738274,\n   0.009869417075772451,\n   0.009194401411732289,\n   0.01489132613368279,\n   0.011711136336849011,\n   0.0077814499735886465,\n   0.009153861411089653,\n   0.00930655139657231,\n   0.008522354420574824,\n   0.006434366239885191,\n   0.009069107732880718,\n   0.011175914607576144,\n   0.012856047895990177,\n   0.008751726547019835,\n   0.009207616281175515,\n   0.009210315586811903,\n   0.007466114777997638,\n   0.0077156598348036625,\n   0.010935038816582424,\n   0.014061644965600823,\n   0.015994798016015978,\n   0.01552194568059104,\n   0.009148980606024615,\n   0.009104547286408386,\n   0.009417931551899818,\n   0.009251628382863242,\n   0.009302922577170065,\n   0.00749155717345061,\n   0.00545596800613807,\n   0.006745169399215737,\n   0.008000389397311103,\n   0.010812467871449447,\n   0.009980359143013767,\n   0.009395254886079675,\n   0.01083244236848483,\n   0.008777714724804852,\n   0.008607205890471276,\n   0.005737486570573753,\n   0.0,\n   0.0046250200058653886,\n   0.007298170193885078,\n   0.00888181629822284,\n   0.00930865763759735,\n   0.009291144668891622,\n   0.009460324247884377,\n   0.009499887747888597,\n   0.009439500777169528,\n   0.0094973096438291,\n   0.00950716607908389,\n   0.009556509868485795,\n   0.009412639826386519,\n   0.009441634610506625,\n   0.009494417474709601,\n   0.009474078859675094,\n   0.009533540063261325,\n   0.009380373583204923,\n   0.00934405661878005,\n   0.009317189494653917,\n   0.00930630816316862,\n   0.009331587946529461,\n   0.009290505637698062,\n   0.009171925284743114,\n   0.009190880277390887,\n   0.008936939129165941,\n   0.00925595551415841,\n   0.009089135860329195,\n   0.009254179713816578,\n   0.009037986120313972,\n   0.009056458760338958,\n   0.008962057347335253]],\n [73,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.007651254120267001,\n   0.007667375307639308,\n   0.007770823476942159,\n   0.007736132825533721,\n   0.006892723847017689,\n   0.00843924274244357,\n   0.008311121331158189,\n   0.008119550730157365,\n   0.008041041091397713,\n   0.008226269114572747,\n   0.0081588589889145,\n   0.008260783701970918,\n   0.008173041909855431,\n   0.00808570800013016,\n   0.006946349882911417,\n   0.006320195316560606,\n   0.007782777764720773,\n   0.007730348315059478,\n   0.007860562699733172,\n   0.006850822355519994,\n   0.014851707471483988,\n   0.011894839630458216,\n   0.014069335706115706,\n   0.015446241578623484,\n   0.014758595517636012,\n   0.013335023171208967,\n   0.013434778235319413,\n   0.00804965023033109,\n   0.008508259042284898,\n   0.007782592620136589,\n   0.011694818205037063,\n   0.015281351316358724,\n   0.01864442075803311,\n   0.015300192428632484,\n   0.00951367964754855,\n   0.0111566133487986,\n   0.01041391908151244,\n   0.01754897505500863,\n   0.01361977179517775,\n   0.008952485108782358,\n   0.007700652002533579,\n   0.00783462812843817,\n   0.006487534602507251,\n   0.008283672472701228,\n   0.012838250986552006,\n   0.015450929479639,\n   0.016313086625500794,\n   0.007408507472455333,\n   0.007791804414043394,\n   0.007835581443821576,\n   0.006046147934869317,\n   0.010218131342098008,\n   0.01382926982671535,\n   0.016969151256044576,\n   0.01857387211457741,\n   0.017864628273189718,\n   0.009875415360434061,\n   0.007694341329419062,\n   0.008080167482221113,\n   0.007844139271608116,\n   0.007890705161706481,\n   0.006005357818402203,\n   0.008684213159311558,\n   0.008415243361796885,\n   0.008104434616227419,\n   0.0130489804854174,\n   0.013450543544201582,\n   0.014278532051273544,\n   0.015718031323039724,\n   0.012220546095980276,\n   0.01177157697643958,\n   0.012087965160363734,\n   0.0059865285188852625,\n   0.0,\n   0.006154566368936826,\n   0.007572459627731626,\n   0.00798490119342417,\n   0.007890391573664748,\n   0.008241639642108077,\n   0.00825544476412424,\n   0.008225474356114197,\n   0.008306528662423405,\n   0.008339180285577218,\n   0.008357210990087955,\n   0.008219277778341296,\n   0.008252112929306958,\n   0.008266008496104342,\n   0.008283919889909157,\n   0.008362924478352457,\n   0.008157208177552751,\n   0.008059932221907458,\n   0.008027930513692064,\n   0.007954205134628524,\n   0.00795410933348783,\n   0.007952429372719023,\n   0.007714403549612938,\n   0.007805527771808519,\n   0.007511501308081231,\n   0.007873917559931418,\n   0.007706949211404062,\n   0.0078972720301597,\n   0.007654166917996061,\n   0.007625446067895292,\n   0.007508156229508096]],\n [74,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.005132351203223566,\n   0.005218953878462465,\n   0.005365372707333351,\n   0.0053418203071097965,\n   0.004522236889905241,\n   0.006945571436427013,\n   0.0063456662019615315,\n   0.005935869302054039,\n   0.005874706714489548,\n   0.0059140501368058615,\n   0.00599709011972119,\n   0.006102524358952513,\n   0.006005800514068758,\n   0.0059971701441105555,\n   0.004360144480720942,\n   0.003922166883418256,\n   0.005532409904918575,\n   0.005512799101440177,\n   0.0054896353169809385,\n   0.004462941941240723,\n   0.017400204604340372,\n   0.013176415209627888,\n   0.017269251362541965,\n   0.01756281781521339,\n   0.015429795036794834,\n   0.013464923381035623,\n   0.013555501044548798,\n   0.005763486001997235,\n   0.006704918546323369,\n   0.006317059497036228,\n   0.013448049367276747,\n   0.01945228762631996,\n   0.02441744479100255,\n   0.02043177968130088,\n   0.014782793043342544,\n   0.017629128298919616,\n   0.01700338694030156,\n   0.025369571459063624,\n   0.021171821110549265,\n   0.013207665385274755,\n   0.0052610025370285335,\n   0.005631145591168899,\n   0.004708225325508821,\n   0.013058554810362352,\n   0.017369670389914632,\n   0.019627299783595162,\n   0.018476221697369493,\n   0.004926926384457004,\n   0.005460819481812764,\n   0.00543319314333364,\n   0.006280293339439314,\n   0.01601064057302861,\n   0.021171972582098176,\n   0.024674972177933747,\n   0.02505713899879192,\n   0.023611366810914074,\n   0.014620862380062275,\n   0.0052505518273538426,\n   0.005832148016137202,\n   0.005471330062903506,\n   0.005624619432422809,\n   0.005235417192572524,\n   0.013396465691770354,\n   0.007649055636308535,\n   0.00543798133305094,\n   0.013158698093296596,\n   0.014798952368526384,\n   0.016970613943072584,\n   0.017885434202469866,\n   0.012660225654711347,\n   0.01252569472530152,\n   0.01751049521783127,\n   0.01201860431483233,\n   0.007830257957804919,\n   0.0,\n   0.004966260525264095,\n   0.005682702300688348,\n   0.005671521337336744,\n   0.006120577080529496,\n   0.0061241392401575,\n   0.006159735968165487,\n   0.006292260791530284,\n   0.006336387927117891,\n   0.006313568472703147,\n   0.006193617420153872,\n   0.0062062713683896506,\n   0.006315872738719035,\n   0.00627457756937865,\n   0.006328076192706324,\n   0.005823271624018568,\n   0.005613418227753496,\n   0.005561536229500174,\n   0.00555512120654965,\n   0.005638400555116806,\n   0.005492759521391422,\n   0.005080865767803156,\n   0.0053857154171633535,\n   0.005094666619281759,\n   0.005438979961383603,\n   0.005112830206788648,\n   0.0054617114953356815,\n   0.005330713766651731,\n   0.005156126175616404,\n   0.00509388086946307]],\n [75,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0028242165044247806,\n   0.0029805175713443362,\n   0.003024565201290052,\n   0.0034572232882420706,\n   0.006241784658255003,\n   0.007651568982720775,\n   0.0035780581413682494,\n   0.002957573110496014,\n   0.002880384080518719,\n   0.0029393687069981865,\n   0.0030141963458635537,\n   0.003087440200786969,\n   0.0029745314297758233,\n   0.0027973647510033508,\n   0.004274009556352155,\n   0.005079468534649791,\n   0.0030081144069207667,\n   0.001914817431969602,\n   0.0017880577120584697,\n   0.002621585781324517,\n   0.02220294810360956,\n   0.017111939658696115,\n   0.02039679507595664,\n   0.021129081419375053,\n   0.019369029115641215,\n   0.01632066620698461,\n   0.016466793332712372,\n   0.0072072012516891165,\n   0.004774769864120909,\n   0.006248724712761179,\n   0.016965032382089983,\n   0.022801155235407947,\n   0.028335969070307585,\n   0.02440196242708212,\n   0.018709774100530138,\n   0.02177671315701381,\n   0.021181950571527886,\n   0.03015751681304607,\n   0.02573445872630012,\n   0.01729839466769539,\n   0.0018724906274406696,\n   0.0018804754370897018,\n   0.003797782869950185,\n   0.0173738955205516,\n   0.022204116526219078,\n   0.02478880741404433,\n   0.022999958352202407,\n   0.0032363094098840912,\n   0.0018101140688343998,\n   0.0019844454899595946,\n   0.008270079638198964,\n   0.02037057385860319,\n   0.026122161576006796,\n   0.02971491391224098,\n   0.029468851827964947,\n   0.027739456098478714,\n   0.01845512412960523,\n   0.001992624140249168,\n   0.0015777308845165863,\n   0.0013914151116482464,\n   0.001532356885752365,\n   0.008435312383820935,\n   0.01843974080777563,\n   0.011487754714209665,\n   0.008900062919844841,\n   0.017711027307594628,\n   0.019054880671483424,\n   0.02154706980775547,\n   0.022838681119354602,\n   0.017270309503378,\n   0.01728999608257249,\n   0.022922073899112508,\n   0.016318516852832952,\n   0.010748662444923998,\n   0.0055407473322978,\n   0.0,\n   0.0016183990951393007,\n   0.0016950166692552477,\n   0.0026868822061896507,\n   0.0026669860963629867,\n   0.0028841982609040468,\n   0.0031008404035947003,\n   0.0033740933808478037,\n   0.0033584889875789177,\n   0.003181025284703316,\n   0.003179841922544511,\n   0.003374610686650969,\n   0.0033947906260519047,\n   0.0034982473298469682,\n   0.0025956883555870677,\n   0.0016596310532935783,\n   0.001690193137579104,\n   0.0016210140804969032,\n   0.0015825099010454658,\n   0.0016589966372523616,\n   0.0020207429146872047,\n   0.0016009255637532882,\n   0.0016191115165285859,\n   0.0018787055160333268,\n   0.0019010156386966754,\n   0.0018637451917929222,\n   0.0018134797533460516,\n   0.0017648738203377874,\n   0.0019417040545903024]],\n [76,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0031525058108971753,\n   0.0031904532453596785,\n   0.0032706260953928694,\n   0.0039002865190232733,\n   0.0067936399230243034,\n   0.007986733276584586,\n   0.0034301918053973447,\n   0.002921737308760208,\n   0.002809822648079216,\n   0.002712709889183649,\n   0.002820402198048492,\n   0.0027323192501285424,\n   0.0027389858072966377,\n   0.002486578210545364,\n   0.0047569390395692645,\n   0.0056403198763293055,\n   0.003185661347420915,\n   0.0015723232732916292,\n   0.001607182019152797,\n   0.0028347451610039993,\n   0.022380490629945224,\n   0.017412772473624778,\n   0.020507650362635313,\n   0.021274210604686306,\n   0.019421291418496647,\n   0.016355890977287277,\n   0.01654735193280226,\n   0.007784275019284245,\n   0.00509688739335759,\n   0.006866128860807965,\n   0.01731221679618282,\n   0.022891325167325272,\n   0.028271549668032393,\n   0.024419638427436476,\n   0.01873360872194837,\n   0.021581014154614726,\n   0.021103395756304526,\n   0.029893458550390994,\n   0.02546171260804955,\n   0.017261935821440477,\n   0.0015945861447410816,\n   0.0011249975788676307,\n   0.0039031397076857645,\n   0.017446339504167234,\n   0.022109874777857835,\n   0.02470668558436774,\n   0.022970783145922533,\n   0.003345159381073198,\n   0.0016903575706168502,\n   0.0016292408046167694,\n   0.008643379778691666,\n   0.02052470487834763,\n   0.02609740702162324,\n   0.029587515254397772,\n   0.02939595897601497,\n   0.027730275654181503,\n   0.018603353637459262,\n   0.001671973761325465,\n   0.001007143099447684,\n   0.0009198516353294745,\n   0.0009333152752197892,\n   0.008832743450524507,\n   0.019150980445638455,\n   0.012221246770027196,\n   0.009281315821473278,\n   0.01783714600002678,\n   0.019367403454051656,\n   0.02204347267180173,\n   0.02324279637978018,\n   0.01770606330208676,\n   0.017587216301713667,\n   0.023343919101497242,\n   0.016797087413635056,\n   0.011131534354582641,\n   0.006226755020297425,\n   0.0015894748249615683,\n   0.0,\n   0.0011182375076611785,\n   0.0022942664364993125,\n   0.002342904872692444,\n   0.002529756914512505,\n   0.0028383076118504,\n   0.003009901952992794,\n   0.0029862205730355595,\n   0.0029197018830441155,\n   0.0029894255317445754,\n   0.002998009629501892,\n   0.0031477855174315856,\n   0.003176743726775352,\n   0.0023152056289876067,\n   0.001202574962718314,\n   0.001462355906983462,\n   0.0012063895755804314,\n   0.0012221135414982704,\n   0.0011610497351228345,\n   0.0019450769678780405,\n   0.0013784310311996584,\n   0.001554719300779417,\n   0.0017556032879441107,\n   0.0019127801597795663,\n   0.0016133337782925313,\n   0.0017647986517799817,\n   0.0019205619308167085,\n   0.0021175768497018158]],\n [77,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0027563566296769535,\n   0.002754980185420535,\n   0.0029263930491596523,\n   0.0035009663958691616,\n   0.00657294394965889,\n   0.007701269542643129,\n   0.003062733131797683,\n   0.002444036437114607,\n   0.002272983713097557,\n   0.0023995567752977515,\n   0.0024382689991186046,\n   0.0025477147707928817,\n   0.00221761302066773,\n   0.002212091010575929,\n   0.004537191536441834,\n   0.0055257083485579905,\n   0.0028907731034792557,\n   0.0015322398464753916,\n   0.001529060264030951,\n   0.0026551917650369907,\n   0.02258622863631912,\n   0.017648544127488425,\n   0.020702848692393774,\n   0.021486919700571483,\n   0.01966783554342102,\n   0.016540029039244376,\n   0.01673983755684689,\n   0.007889607355874946,\n   0.00503642594429545,\n   0.006719457281599784,\n   0.01740016104837452,\n   0.023117243582155837,\n   0.028609410417512308,\n   0.024716947366202797,\n   0.018968565468081112,\n   0.021857619775170797,\n   0.021399060892956286,\n   0.03030441201752974,\n   0.025809783744434146,\n   0.017526324126565223,\n   0.0016806538491745732,\n   0.0013246729081855077,\n   0.0038650937885482527,\n   0.01767733870197901,\n   0.02249376995217473,\n   0.025167823764539278,\n   0.02344622839414569,\n   0.003417043029148068,\n   0.0014144191579365068,\n   0.0015464526731818738,\n   0.008684781395835652,\n   0.0208361304755995,\n   0.02647528404544666,\n   0.029997332134707243,\n   0.029765232483039205,\n   0.028056772868099673,\n   0.018812076915770515,\n   0.0019050309977075703,\n   0.0011786998241053311,\n   0.0011234588439541417,\n   0.0010936316848911389,\n   0.008923051347725587,\n   0.019470356245785678,\n   0.012477772241228136,\n   0.009470383229269639,\n   0.018186760673313387,\n   0.019735743505212656,\n   0.02246162328816528,\n   0.023664444856172015,\n   0.018053666027147943,\n   0.017941623338411438,\n   0.023761152050603262,\n   0.017062976196521553,\n   0.011194963418268604,\n   0.0063247750318436305,\n   0.0016942622649124327,\n   0.0011380797425534956,\n   0.0,\n   0.0020458479700277573,\n   0.0019907492659219546,\n   0.002295694975358945,\n   0.002565056876735503,\n   0.0028357312562424103,\n   0.00272909756654775,\n   0.0026610521638189472,\n   0.002540838352715771,\n   0.002682828352906428,\n   0.0027121016367299515,\n   0.0027776816642312197,\n   0.0018193210605646545,\n   0.0012782274565100067,\n   0.0013063334055187295,\n   0.001072631299480213,\n   0.0010972829018738625,\n   0.0009906855865438,\n   0.001799582687529615,\n   0.0013105984644548971,\n   0.0013908726749797763,\n   0.0014468302821952857,\n   0.0016848302059726582,\n   0.001277305247544324,\n   0.0014366960280210515,\n   0.0016565885238067892,\n   0.0018666379565116038]],\n [78,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0036537801974379654,\n   0.0037306437541180766,\n   0.0038100337855180464,\n   0.004303373104168391,\n   0.0069700116908523275,\n   0.007718859988775499,\n   0.002825483830033802,\n   0.002783481155351251,\n   0.0023235298891470424,\n   0.002334794667994951,\n   0.002874550514865974,\n   0.002399306666596121,\n   0.0017097331206504878,\n   0.0022475510395340106,\n   0.004511914386296369,\n   0.005410373732980857,\n   0.0031843523729103316,\n   0.002612597077026909,\n   0.0026333401931191484,\n   0.0035311534512746994,\n   0.02188378002026942,\n   0.01703458263530077,\n   0.02003035295602852,\n   0.020767637279319198,\n   0.019044174209428513,\n   0.01605640857657789,\n   0.016248316831124647,\n   0.007806175134828707,\n   0.00527066860522345,\n   0.006945488094591184,\n   0.016933918648954917,\n   0.022337364969002866,\n   0.02757023871081152,\n   0.023857935921877446,\n   0.01847223558768745,\n   0.021295313363904382,\n   0.0208260570578681,\n   0.02926327312107108,\n   0.025030767647859324,\n   0.01713684885859203,\n   0.002677504532360125,\n   0.0024189718714710713,\n   0.004445168090442332,\n   0.017342178441263824,\n   0.021875066078040253,\n   0.02434852106004312,\n   0.02255437399299418,\n   0.003945614687714851,\n   0.002606546476661259,\n   0.0026046839430309793,\n   0.008798538987498394,\n   0.020316811607581694,\n   0.025682259211647664,\n   0.02899669085596709,\n   0.028690002597531225,\n   0.027048946553369254,\n   0.01832452475806361,\n   0.0027513698375891973,\n   0.0022678098912078857,\n   0.0022935317612120575,\n   0.002271924180983564,\n   0.008951293270388091,\n   0.018791077405905087,\n   0.01216204012390561,\n   0.009463966016071282,\n   0.017601424935125766,\n   0.019034208127234324,\n   0.021581990424793702,\n   0.02274519399793584,\n   0.017424660929080904,\n   0.017335311485937647,\n   0.02291469059704859,\n   0.016619453216429624,\n   0.011185692876261762,\n   0.006529245986362158,\n   0.0025690966260774506,\n   0.0022336114978597473,\n   0.0019570346018279515,\n   0.0,\n   0.0009839464405575753,\n   0.001321899710270804,\n   0.001374353844147474,\n   0.0022124409790012234,\n   0.0020929051670516637,\n   0.0015230620306257176,\n   0.0012303061155980008,\n   0.0017998088664800582,\n   0.0014563294263158547,\n   0.0015162019555986347,\n   0.001331060004448319,\n   0.002391756616732508,\n   0.002467572683724156,\n   0.0024161674072961585,\n   0.002302281596960848,\n   0.0022311410218832295,\n   0.0028672465677064642,\n   0.0024086742224734684,\n   0.0026672635677930305,\n   0.00268450858652955,\n   0.002831125211436823,\n   0.002641272181373937,\n   0.00270959052320974,\n   0.002851303211044161,\n   0.002946347677848059]],\n [79,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.003480561931863758,\n   0.0035384390192227063,\n   0.0036609326048204394,\n   0.004124255682198619,\n   0.00686448696158336,\n   0.007765755649713603,\n   0.0030546681788737,\n   0.0029650558206842426,\n   0.0025455132574127475,\n   0.0026878415505284985,\n   0.0029870093825250725,\n   0.0027868255749072556,\n   0.001885296968188565,\n   0.002614054999998621,\n   0.004683631762404477,\n   0.005549878576063409,\n   0.003305819309457859,\n   0.002520857657200486,\n   0.0024927575349845475,\n   0.0034760343853830803,\n   0.021930387681855047,\n   0.01707570855892444,\n   0.02011733329214073,\n   0.020835413130818662,\n   0.019003684890878773,\n   0.015978574395355456,\n   0.016162861492675065,\n   0.007765438803456224,\n   0.005199898332664425,\n   0.006880185030074815,\n   0.016948184759145182,\n   0.022428800572564373,\n   0.027686915390907414,\n   0.023961041636345295,\n   0.01850405900903641,\n   0.021351607631509607,\n   0.020904271085177572,\n   0.029369881659479163,\n   0.02511525947170581,\n   0.01719057825599077,\n   0.0026481142967232315,\n   0.002389878932564507,\n   0.004439535105386639,\n   0.01740633547184832,\n   0.021942067497781274,\n   0.024411550370273438,\n   0.022607985261516885,\n   0.003910348613572493,\n   0.002499053676733901,\n   0.0025482119598054867,\n   0.008778243440130909,\n   0.020371203582280496,\n   0.025747812436921525,\n   0.029086376334112405,\n   0.028798799899611902,\n   0.027164873923892857,\n   0.018406211887747655,\n   0.0027751409893471872,\n   0.0022092315245544275,\n   0.002259237887494399,\n   0.002255932940889834,\n   0.008988534087256562,\n   0.01890552429392824,\n   0.012255578545699116,\n   0.009506182962426156,\n   0.01765145265627232,\n   0.019149078547888502,\n   0.021704314401533045,\n   0.022822624776097124,\n   0.01747905209709211,\n   0.017406803513944347,\n   0.023044377146015666,\n   0.016728827960689727,\n   0.011231197829986158,\n   0.006548654035595028,\n   0.0025561650647035433,\n   0.002286413481759544,\n   0.0019088774297819798,\n   0.000986297178746802,\n   0.0,\n   0.0009417692138858477,\n   0.0010894082583681073,\n   0.001772165754874296,\n   0.0016211838865676093,\n   0.0011212622583656874,\n   0.0013323144102203688,\n   0.0013614177776133105,\n   0.001517916792190581,\n   0.00150661090766402,\n   0.0011638884386179701,\n   0.0023593878754022634,\n   0.0023939881025753455,\n   0.0023089686996183084,\n   0.00228371390781836,\n   0.002117947795179777,\n   0.0028089148695093664,\n   0.002417047209814003,\n   0.002574365140116145,\n   0.002545522691938008,\n   0.002756412132496653,\n   0.002537815574782563,\n   0.002604541018665972,\n   0.002774725857508286,\n   0.0028728474948814487]],\n [80,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.003693851589813564,\n   0.0037865618916437245,\n   0.003882705043894206,\n   0.004335038393662015,\n   0.006942727804577951,\n   0.007783781651631875,\n   0.0033643203381573086,\n   0.003131176889604659,\n   0.0028233001793643085,\n   0.0028724499354217756,\n   0.003104019594281863,\n   0.002948167131044408,\n   0.0023290080062170334,\n   0.0028747264252959046,\n   0.0047596469365035156,\n   0.0056136517101306165,\n   0.0034649398674664114,\n   0.0027415892198655984,\n   0.0027646303423423096,\n   0.0036096746150978795,\n   0.021766714771215546,\n   0.016982161595806615,\n   0.019947495703002388,\n   0.020689829814111244,\n   0.018893255847603374,\n   0.015914832782929513,\n   0.016102228050439808,\n   0.007823935161525854,\n   0.005311532291293774,\n   0.006898197646240345,\n   0.016835408790741132,\n   0.022203389560598617,\n   0.027400031611070613,\n   0.023723066906897263,\n   0.018321936383659535,\n   0.021106727658539288,\n   0.020622255947697024,\n   0.029025664588726262,\n   0.024805013376155177,\n   0.017007708618778636,\n   0.002846188212736005,\n   0.0026081334135212614,\n   0.004514837774365275,\n   0.017161767182546025,\n   0.021674946865294354,\n   0.02414347682395373,\n   0.022415573313365734,\n   0.004035266486742039,\n   0.0026677954430813825,\n   0.0026580636792232983,\n   0.00872017103834371,\n   0.02008154166638252,\n   0.025415802089426127,\n   0.02873122713795038,\n   0.02848303741814393,\n   0.026873015022605973,\n   0.018183040018283258,\n   0.002937390293806895,\n   0.0024441588033219702,\n   0.002477823740011609,\n   0.0024732176326445186,\n   0.008947017295310401,\n   0.018609216071060232,\n   0.012037717918586661,\n   0.00937172371489283,\n   0.01742098919452442,\n   0.01884655933642632,\n   0.021337191597468125,\n   0.022490300287151817,\n   0.017265219824986414,\n   0.017194700460446945,\n   0.022677516471112043,\n   0.016437820136680752,\n   0.011066103050013425,\n   0.0065135423931989836,\n   0.002733640564189712,\n   0.0024413332412042744,\n   0.0021768265143322593,\n   0.0013103369731976673,\n   0.0009313065247502518,\n   0.0,\n   0.0008528535936658698,\n   0.0013156800406620907,\n   0.0011882540084725344,\n   0.0010429317244638663,\n   0.0017484483405056591,\n   0.000927553973507457,\n   0.0018457440906493171,\n   0.0016992961979488369,\n   0.001400183216351234,\n   0.0025681669233213237,\n   0.0026330618524623706,\n   0.002539989820061131,\n   0.002495096797817275,\n   0.002387937748120737,\n   0.00302093793951328,\n   0.002603638493150994,\n   0.0027765021431802777,\n   0.002781709238563277,\n   0.002985308763863406,\n   0.002764814614389688,\n   0.0028368543888743756,\n   0.0029567430433388438,\n   0.0030654027487839234]],\n [81,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0037855553154243432,\n   0.003908311269547203,\n   0.0039476901308611685,\n   0.004344996158134541,\n   0.0069174354118334705,\n   0.007663820598779351,\n   0.0034176897621292063,\n   0.0032617903619834945,\n   0.002900350019389018,\n   0.0029852982079478572,\n   0.0033075948779409266,\n   0.00311686010116584,\n   0.002341789771936644,\n   0.0030286730480986687,\n   0.004765751093575179,\n   0.005609065472664144,\n   0.003587038499117653,\n   0.0029959286896099582,\n   0.002976566255818757,\n   0.003815219655615281,\n   0.021534850481844597,\n   0.016832073201382098,\n   0.019749963466038252,\n   0.02043962222375787,\n   0.0186746359425598,\n   0.01575051821527413,\n   0.01591992847971479,\n   0.007754764978644736,\n   0.005323483659077462,\n   0.006870433253665506,\n   0.01667555476784016,\n   0.022008412665478226,\n   0.027131352391779048,\n   0.023512179002469085,\n   0.018213905464239514,\n   0.020961557144604712,\n   0.020486951175798684,\n   0.0287800066828442,\n   0.02461828435623225,\n   0.01690142032484799,\n   0.003091232492289504,\n   0.0028859405134562025,\n   0.004646202690682854,\n   0.017081700123781744,\n   0.0215189881519258,\n   0.023937899932071866,\n   0.022184085356387908,\n   0.004173456531572764,\n   0.002855893890646351,\n   0.0029019033091796974,\n   0.008723608209279131,\n   0.019935504124803896,\n   0.025210325089639198,\n   0.028478111744788964,\n   0.028207310393526492,\n   0.026611090484369746,\n   0.01806867437827285,\n   0.003145071409199334,\n   0.0027131286145982434,\n   0.002752489688080044,\n   0.0026950388042085802,\n   0.008942843701255424,\n   0.018487032588584675,\n   0.011949095308559886,\n   0.009308605449004737,\n   0.017217719208541902,\n   0.018626550143839998,\n   0.02114647576788916,\n   0.022300187418674452,\n   0.017104176346647196,\n   0.01707912489792874,\n   0.022533015856608864,\n   0.01635757658624185,\n   0.01105290640683583,\n   0.006580896015839084,\n   0.002906824962179267,\n   0.002709136589957768,\n   0.002405635375586557,\n   0.0013474300132026845,\n   0.0010655209339021964,\n   0.0008435244025638029,\n   0.0,\n   0.001224064012450848,\n   0.0011068041199307295,\n   0.000906578475983652,\n   0.0016391038469480861,\n   0.0009942296625590303,\n   0.0016863743609795755,\n   0.001604252314870644,\n   0.0014027638037426777,\n   0.002756402605689867,\n   0.0028186325429086227,\n   0.0027465076343930295,\n   0.0026688155365727413,\n   0.0026204549028194693,\n   0.0031432171788025125,\n   0.0027605419674844116,\n   0.0029795583883980574,\n   0.002946408452967811,\n   0.003089103812576647,\n   0.002948238933951606,\n   0.003022711219172014,\n   0.003105136584899779,\n   0.003230843155627189]],\n [82,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0038598713564543543,\n   0.003919952135095208,\n   0.0039498514309865675,\n   0.004416816070264635,\n   0.006831592535943098,\n   0.007744599070760903,\n   0.0037894179445636432,\n   0.003610328410610983,\n   0.003322826419176815,\n   0.0033911535531864928,\n   0.003526425649070958,\n   0.0034763865946926156,\n   0.0028753252099552266,\n   0.003428375092947489,\n   0.004976129585241037,\n   0.005803503955357582,\n   0.00379423054463824,\n   0.003018773145101093,\n   0.003078329903008418,\n   0.0037952990189284333,\n   0.021167349185162367,\n   0.016618942275410886,\n   0.019467182150768453,\n   0.020151998987175464,\n   0.01848092203932238,\n   0.01558303047843038,\n   0.015773841337710277,\n   0.007813099790600679,\n   0.005381758652322341,\n   0.006950237817433143,\n   0.0164812731593955,\n   0.021696866006742713,\n   0.02673565390937129,\n   0.023151073672252203,\n   0.017924666761392365,\n   0.020566942828027478,\n   0.020128764280432147,\n   0.0283210766848014,\n   0.02418487982596189,\n   0.016536134977545167,\n   0.0030894644017566072,\n   0.0029576115047270355,\n   0.004618936905869554,\n   0.016730784324453917,\n   0.02105709982660764,\n   0.023454271083575715,\n   0.021779478281229513,\n   0.004117597692911634,\n   0.0029464646969734392,\n   0.0029254305047900437,\n   0.008594647455765277,\n   0.01960053592112449,\n   0.024792450836577367,\n   0.02804430278079606,\n   0.02780956845819001,\n   0.026236878412234182,\n   0.01776436789882141,\n   0.00317744909844373,\n   0.0028280137336649113,\n   0.0028719065594613037,\n   0.0028265767523758477,\n   0.008781043800599278,\n   0.018299051641486187,\n   0.011854084573589862,\n   0.009253734369729498,\n   0.017063332328713387,\n   0.018483053110515898,\n   0.020929739990966374,\n   0.02199437649070278,\n   0.016821772245419003,\n   0.016739830492944408,\n   0.022175301278014033,\n   0.01613898799828062,\n   0.010936721193712475,\n   0.0065317104690991975,\n   0.0031174781485850452,\n   0.002831591775192288,\n   0.002621227560445803,\n   0.0021378941678262754,\n   0.0017083722833469445,\n   0.0012825677246740197,\n   0.0012064545987809448,\n   0.0,\n   0.0008221870621115097,\n   0.0014838935446657424,\n   0.0024746687609594428,\n   0.0012197577564297417,\n   0.0024572462030342337,\n   0.002365298213472826,\n   0.0018078010897134005,\n   0.002896871184010229,\n   0.002943381062495708,\n   0.0028842267098684467,\n   0.002838837641117616,\n   0.002712100671924042,\n   0.003274894233009327,\n   0.002936806117769064,\n   0.0030508079708893333,\n   0.003061904661145482,\n   0.003185864145649709,\n   0.0030408767883474083,\n   0.003107343631437244,\n   0.0032613072434771674,\n   0.003316879489256005]],\n [83,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0037996684639914177,\n   0.0038478442813064183,\n   0.003890283781647795,\n   0.004315649432787969,\n   0.006819814780877478,\n   0.007565331686939624,\n   0.003651980170349789,\n   0.003457003742801422,\n   0.0031732232687659134,\n   0.003247896926541602,\n   0.0034093050800982063,\n   0.003414128489341065,\n   0.0027385226717006085,\n   0.00332831805907226,\n   0.004873466715624636,\n   0.005734239764475037,\n   0.00377003781610299,\n   0.0030458981934834506,\n   0.0030387452961080407,\n   0.003801946179484102,\n   0.02125250695861709,\n   0.016666675223664777,\n   0.019527070233102187,\n   0.020224118365760855,\n   0.018553312122200873,\n   0.015692312497642778,\n   0.015876950368776076,\n   0.007873809322457653,\n   0.005520447543680088,\n   0.007058669993658811,\n   0.01654552347623602,\n   0.021785447441869256,\n   0.026834309017371404,\n   0.023226449721179827,\n   0.017976265341353024,\n   0.020696533508172778,\n   0.020243747311214946,\n   0.02843492364097762,\n   0.02431098253609739,\n   0.016646734574568615,\n   0.0030966367267652043,\n   0.0029233139005745094,\n   0.004612994544872455,\n   0.016869354832800235,\n   0.021240685580873823,\n   0.02360084801887488,\n   0.02181995092781917,\n   0.004126279961348956,\n   0.0029070278970180804,\n   0.0028991952629988066,\n   0.008637131863632859,\n   0.019757110807397726,\n   0.02494946276471214,\n   0.028174920183138396,\n   0.027910600119280052,\n   0.026333847281559578,\n   0.017855334775427365,\n   0.003161036725099576,\n   0.0028368466212169556,\n   0.0028576363756955274,\n   0.0028013541123860742,\n   0.008813467263491824,\n   0.01844200726955271,\n   0.011953054608831053,\n   0.009218995968402404,\n   0.017095906434263296,\n   0.018539846046344267,\n   0.021062683366936463,\n   0.022145581364829803,\n   0.01693343450555754,\n   0.016854332804122255,\n   0.022374588551539856,\n   0.016306801308371578,\n   0.011017153325183953,\n   0.006541906180638525,\n   0.0031191373391087334,\n   0.0028238682172979867,\n   0.002535729753490872,\n   0.002032863918966147,\n   0.001570922297830441,\n   0.0011643500266094778,\n   0.0010965334117881737,\n   0.0008264467713264057,\n   0.0,\n   0.0014305295353504081,\n   0.002284717959435718,\n   0.0009296991957305199,\n   0.0022890998725248134,\n   0.0021634541711911905,\n   0.0016330853245137722,\n   0.002846254366404697,\n   0.0028362712260829345,\n   0.0027816709292667985,\n   0.0028130268389781107,\n   0.002668714355707462,\n   0.0031415070502729806,\n   0.0028491625857949474,\n   0.0030128678914042874,\n   0.002976087875736629,\n   0.0031481866746450433,\n   0.0029847482311801165,\n   0.0030389924150613598,\n   0.0031816475143963425,\n   0.003279001968244499]],\n [84,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.00372970417100289,\n   0.003848430358579221,\n   0.0038603060511358893,\n   0.004328266260010158,\n   0.0068208316893465,\n   0.007612313911835319,\n   0.0035247363535456074,\n   0.0034819929389124657,\n   0.0030678858357218457,\n   0.0031367561099083095,\n   0.0034042818692174327,\n   0.0032714302702851875,\n   0.0024406462402317367,\n   0.0032074919352089266,\n   0.004764072380969491,\n   0.00565161175326124,\n   0.003748675671255038,\n   0.0029617758025805557,\n   0.003033721236885964,\n   0.003755738360346277,\n   0.02146390100510654,\n   0.01673632241349301,\n   0.019708449270540065,\n   0.020422181039104106,\n   0.018712636616798978,\n   0.015790763459524584,\n   0.01598862069035007,\n   0.007846207090025516,\n   0.005494357931746411,\n   0.007008674587129157,\n   0.016646966509891135,\n   0.021968028099309842,\n   0.027086481747611545,\n   0.023415483808130307,\n   0.018079636117774123,\n   0.02083059577141686,\n   0.02036958062461296,\n   0.02867949281203436,\n   0.02449574520756158,\n   0.016769322647792663,\n   0.0030639572162304025,\n   0.0029274826047014607,\n   0.004601938141730041,\n   0.016923631743033875,\n   0.021368014556278993,\n   0.02382350833434452,\n   0.022164784562623375,\n   0.004168993417765067,\n   0.002925727685732504,\n   0.002941426483809833,\n   0.008687470485049434,\n   0.01979750128440042,\n   0.025093105930394367,\n   0.028392810953177326,\n   0.028159514920154276,\n   0.02657390531878082,\n   0.017953224537671324,\n   0.003154039695263866,\n   0.002802711908979569,\n   0.0028355679413937405,\n   0.002763510101572171,\n   0.008827238481470169,\n   0.018371770954786464,\n   0.011870440992528129,\n   0.009225812329208672,\n   0.01725536815411975,\n   0.018636573091031245,\n   0.021100417383100516,\n   0.022241271556445587,\n   0.01704820207416163,\n   0.016981598139871757,\n   0.022413188990562608,\n   0.016237001592958548,\n   0.010953845485628156,\n   0.006487818886792925,\n   0.0029866382016925474,\n   0.0027911680029197392,\n   0.0024995522406347117,\n   0.0014955511618272902,\n   0.0010983849037552648,\n   0.0010331302390948912,\n   0.0009079907654988528,\n   0.001507897843161403,\n   0.00144617801305719,\n   0.0,\n   0.0016575903657871135,\n   0.0010311969079047584,\n   0.0015733904083653565,\n   0.0015027010330951403,\n   0.0014727424739823692,\n   0.0027614133659260706,\n   0.0028321653018769906,\n   0.00280295149927384,\n   0.0027061227801855026,\n   0.0026423128350445187,\n   0.0031961552380773985,\n   0.0028050059516644627,\n   0.0029516324614681025,\n   0.002945873437956426,\n   0.003138203791434739,\n   0.0029710522905391544,\n   0.0029940065595322864,\n   0.003096478190586804,\n   0.0032150211497093584]],\n [85,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.003548139264002222,\n   0.00366950926248656,\n   0.0037398495243736157,\n   0.0041218794845784825,\n   0.0066964417573110065,\n   0.007251178383965695,\n   0.0028037798905330407,\n   0.0029220662146735286,\n   0.002328918806506101,\n   0.0025531225632847454,\n   0.0030377000012197183,\n   0.0027748579435542525,\n   0.0016801122340743845,\n   0.002530843369441375,\n   0.004473460498992005,\n   0.005341668438909675,\n   0.0033332754620546993,\n   0.0029571410800408866,\n   0.0030382874780075326,\n   0.0037167667613801207,\n   0.0215481350966305,\n   0.016886618050862907,\n   0.019849559479504578,\n   0.020557177797026108,\n   0.01881225580455075,\n   0.01587262540470158,\n   0.016045036186554545,\n   0.007888433445965315,\n   0.005456822680266255,\n   0.006984459059090896,\n   0.01675870204184033,\n   0.022082571275201995,\n   0.027259843849643684,\n   0.02359518541905277,\n   0.01824751703382057,\n   0.021004124546236028,\n   0.020554869199424078,\n   0.02888954657386969,\n   0.024694703641652382,\n   0.016875644310498487,\n   0.0031038735500330417,\n   0.002997795131659184,\n   0.004643723813901467,\n   0.017051846591107173,\n   0.02147099284236864,\n   0.023865319855512136,\n   0.022072574072890844,\n   0.004105788487829731,\n   0.0028654090000337726,\n   0.0029579669310084893,\n   0.008652991583742668,\n   0.01996683689536829,\n   0.02527805770263711,\n   0.02860485116617463,\n   0.028358527863130638,\n   0.026743132270210156,\n   0.018113205922997925,\n   0.003222075903254268,\n   0.002853726578767871,\n   0.0028635075336876778,\n   0.002805739424126833,\n   0.008870376302704748,\n   0.018540135144929797,\n   0.012003143663022766,\n   0.009276091560440621,\n   0.01735262497757441,\n   0.018775863668496626,\n   0.021269074778202,\n   0.022427594812010673,\n   0.0171606634288765,\n   0.017068033642350048,\n   0.02256155752727467,\n   0.01635326372720838,\n   0.011042336405840996,\n   0.006527516256989091,\n   0.002997670431716787,\n   0.0028694460653154235,\n   0.0023963415886220922,\n   0.0012129969942270794,\n   0.0013104393790129042,\n   0.0017390611732240686,\n   0.001648334528924868,\n   0.0025249286446127365,\n   0.002319104827575158,\n   0.0016643324187367865,\n   0.0,\n   0.001866478213879893,\n   0.0009129423454089019,\n   0.0009758989381905244,\n   0.001360876624441311,\n   0.002743988804107007,\n   0.002738881133241772,\n   0.0027271328404812256,\n   0.0027172542296658086,\n   0.0025864822750871516,\n   0.003060548747907119,\n   0.0027843174707167903,\n   0.002905173808854699,\n   0.002865372339414019,\n   0.0030302338216361114,\n   0.0028751399759837054,\n   0.0028903453776125266,\n   0.0029932807667615575,\n   0.0030739479024949933]],\n [86,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.003757440960642475,\n   0.0038180712732457703,\n   0.0038871633629156805,\n   0.004303125701688079,\n   0.00683575640951774,\n   0.007531767860501273,\n   0.003516735759375248,\n   0.0033218314153460517,\n   0.0030041823679354007,\n   0.003115226477791406,\n   0.0032932550091146527,\n   0.0032856125168988703,\n   0.0025856329003652893,\n   0.003192903296800514,\n   0.004760100267845444,\n   0.005691536483293585,\n   0.0037626596941180922,\n   0.003031024204048588,\n   0.003110257202800672,\n   0.0038044145432939987,\n   0.02138050556207025,\n   0.016718942379108936,\n   0.01962505808318849,\n   0.02037720460536835,\n   0.01870614189779449,\n   0.015815416569825217,\n   0.01600520521088382,\n   0.007972739637765515,\n   0.005621217295422862,\n   0.007128289634579961,\n   0.016649588021730312,\n   0.02187276721652499,\n   0.026935423342276894,\n   0.023293372659985594,\n   0.01798581126043841,\n   0.020720606359184348,\n   0.02027913573838178,\n   0.028495106881274098,\n   0.02434898520496365,\n   0.016703293257657806,\n   0.003146861246411377,\n   0.0029676415836220335,\n   0.004647400540702309,\n   0.016900196285107,\n   0.021296417935466334,\n   0.023714824679799303,\n   0.022008520705043284,\n   0.00421380440545476,\n   0.002933287170691552,\n   0.002964350163189116,\n   0.008684116611481276,\n   0.019768897488495342,\n   0.02498634006235776,\n   0.028244739892739776,\n   0.028018477281542137,\n   0.026436895618208774,\n   0.017902981681499754,\n   0.0032387687165048727,\n   0.002890082285972724,\n   0.0029061012136686716,\n   0.002831721779972917,\n   0.00885736614735455,\n   0.018409163608731363,\n   0.012005783233195745,\n   0.00927627506569525,\n   0.017231338663368474,\n   0.018636596196404162,\n   0.02113985916868379,\n   0.022272417170354476,\n   0.017093654196614697,\n   0.01698393041341396,\n   0.02241566545448121,\n   0.01626260301603363,\n   0.010938459014849933,\n   0.006569238916075453,\n   0.003146056488734531,\n   0.002845822675478369,\n   0.002502240571832392,\n   0.0017548395515592217,\n   0.0013242382032559845,\n   0.0009123589345601032,\n   0.0009887581768265308,\n   0.0012307507443305777,\n   0.0009332429654273841,\n   0.0010239268848432717,\n   0.0018458117676120004,\n   0.0,\n   0.0018601111832343975,\n   0.0016794567683216632,\n   0.0014874204930538585,\n   0.0028268715455720948,\n   0.002845584801407214,\n   0.002803884392531318,\n   0.0027805342277882833,\n   0.0026700111095905,\n   0.0031739732752914017,\n   0.0028585832618914565,\n   0.002983486237515179,\n   0.0029521959205101134,\n   0.0031671838669919323,\n   0.0029859865537275442,\n   0.003025786995445275,\n   0.003124047933588625,\n   0.0032285483299263036]],\n [87,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0035092700202724474,\n   0.0036299183069401853,\n   0.0037344733539583755,\n   0.004226591203071611,\n   0.006658378670815326,\n   0.007028735638591915,\n   0.0029952253721220955,\n   0.0031278566898004317,\n   0.0025086830123057305,\n   0.0025607076714198587,\n   0.003091027217495366,\n   0.002765762768181164,\n   0.0017081545403729182,\n   0.00262266679326506,\n   0.004501171011591638,\n   0.0054558360842188874,\n   0.0034496383417436578,\n   0.002998912992889245,\n   0.003108341211032273,\n   0.0038082665084118593,\n   0.021382371374047072,\n   0.016759765553216857,\n   0.019692585194961174,\n   0.02031690597703942,\n   0.018634752484256202,\n   0.015758425707295715,\n   0.015938754285668242,\n   0.007926744583164742,\n   0.005502738733052566,\n   0.00701901954912948,\n   0.016608225186517025,\n   0.02191608160646501,\n   0.027054547929867574,\n   0.023407513962585086,\n   0.018157744992404558,\n   0.020872129932751875,\n   0.02041575573533979,\n   0.02868948784511804,\n   0.024539770046031528,\n   0.016817965008592842,\n   0.003172961923515632,\n   0.0031240254145694524,\n   0.00471226285080303,\n   0.016949864843503557,\n   0.021387944201673732,\n   0.023807618013729187,\n   0.0221214380764148,\n   0.0042294605526506926,\n   0.0029851509551469943,\n   0.003040942696369467,\n   0.008710719226309446,\n   0.01978040139323025,\n   0.0251092532838847,\n   0.028395069783152756,\n   0.02813962744897284,\n   0.026546613445014113,\n   0.017994311810101964,\n   0.0032998625254183054,\n   0.002970242495973161,\n   0.0030272336585070547,\n   0.0029303178577162136,\n   0.008936385628914169,\n   0.018536194984688743,\n   0.011936832148469426,\n   0.009109842318450115,\n   0.017214552216158963,\n   0.01870417545284317,\n   0.02122228750897808,\n   0.022332799210981646,\n   0.017133566814886484,\n   0.017088647300513585,\n   0.02255113239279056,\n   0.01633874390091357,\n   0.011037129048838645,\n   0.006570918982359059,\n   0.0031865135283747213,\n   0.0030084297761073446,\n   0.0025468423825150506,\n   0.0014296528212878426,\n   0.0014865605190231231,\n   0.0018279232605686061,\n   0.0016885631070082815,\n   0.0024963479847842493,\n   0.002313539636716099,\n   0.0015729820835647878,\n   0.0009090081362844558,\n   0.0018728320691369512,\n   0.0,\n   0.000834768771268393,\n   0.001419744069688223,\n   0.0027885511278484495,\n   0.002859803240360045,\n   0.002852181592360293,\n   0.0027732316185393236,\n   0.0027261258273200122,\n   0.0032434845126486393,\n   0.0029089588964185584,\n   0.003032520653883302,\n   0.002952917859653616,\n   0.0031411572427802125,\n   0.0029422149497813073,\n   0.0029324226844256907,\n   0.003050331148174733,\n   0.0031529570370290934]],\n [88,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.003653784416095765,\n   0.0037886846206499165,\n   0.003924295983547216,\n   0.0043335185760453206,\n   0.006763072230726648,\n   0.006960399781896293,\n   0.0032284760550786882,\n   0.0031832227516049197,\n   0.0026782839539658205,\n   0.0027038072985572435,\n   0.0031722153711640283,\n   0.0029845994315655586,\n   0.0019276631239212244,\n   0.0028240292424102273,\n   0.004673775443072271,\n   0.005525902756050867,\n   0.003513547779161708,\n   0.003126211297585231,\n   0.0032356682445607047,\n   0.0039063445644582865,\n   0.021336667847052945,\n   0.016751434968266126,\n   0.01966592474542768,\n   0.020330672820165072,\n   0.01853316860634608,\n   0.015664606482820125,\n   0.015851374236927673,\n   0.007944112971030865,\n   0.005591432080935291,\n   0.007035977332967515,\n   0.016624514730535764,\n   0.02187530895879132,\n   0.026959159092252476,\n   0.02337236916997148,\n   0.018116046999520224,\n   0.02079243868075111,\n   0.020308592868945107,\n   0.028549540455563384,\n   0.024425251554919487,\n   0.01677265005513372,\n   0.003275807476493757,\n   0.0031951297555212264,\n   0.0047845748043546825,\n   0.016871000930473497,\n   0.021260401305135245,\n   0.02364219929551371,\n   0.021924159276714896,\n   0.004293768186442788,\n   0.003042446615550125,\n   0.0030859808091895126,\n   0.008671073612790013,\n   0.01964680051057434,\n   0.024926407656987705,\n   0.028213109841922136,\n   0.028006371025863792,\n   0.02643902629701961,\n   0.01795340149820854,\n   0.0034050941193722946,\n   0.0030692296225172397,\n   0.003107936203019809,\n   0.0030334093562059926,\n   0.008988843786948324,\n   0.01849596413509683,\n   0.011827984372304288,\n   0.00895609967136634,\n   0.016995366284543078,\n   0.01850289205048167,\n   0.021032818039137455,\n   0.022157779873855817,\n   0.017005437156763354,\n   0.01699401472948615,\n   0.022459287446646353,\n   0.016308622624294403,\n   0.011052482151645601,\n   0.006573470779517785,\n   0.003257127061900805,\n   0.003011607318318144,\n   0.0025873786899154277,\n   0.0014764183371265586,\n   0.0014635823164315532,\n   0.0016693099255439842,\n   0.0015933727935643618,\n   0.0023835472919640594,\n   0.0021689089478057985,\n   0.0014901887483184174,\n   0.0009638527296135625,\n   0.0016772978092524503,\n   0.0008280329346341394,\n   0.0,\n   0.0013935729696050703,\n   0.0028613044671601928,\n   0.0029177338607304904,\n   0.002848349989455595,\n   0.0028510890796994617,\n   0.002781792888862161,\n   0.003250702927235835,\n   0.002977263661949284,\n   0.0031294398037074473,\n   0.002981017550256338,\n   0.0032282088515938885,\n   0.002993355084702398,\n   0.003044219081429183,\n   0.0031108187125594676,\n   0.003253367284264186]],\n [89,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0031262323386366045,\n   0.003177640397252578,\n   0.003315353357824438,\n   0.0038404873596370524,\n   0.006572142848626554,\n   0.007253699180843851,\n   0.0030365342616641435,\n   0.002659995464848359,\n   0.00224504657892658,\n   0.002368627045966855,\n   0.002739751302149755,\n   0.0026440586238465763,\n   0.0017094912546456835,\n   0.002396661284822829,\n   0.004443774008747521,\n   0.005447410544227722,\n   0.0031453530845665426,\n   0.0024978337148110546,\n   0.002543429036459958,\n   0.003338997394957107,\n   0.022052731664813027,\n   0.01733894275895852,\n   0.020405969705128098,\n   0.021083356466750563,\n   0.019307502372048393,\n   0.016306980270447073,\n   0.016501403875052528,\n   0.008031749978344497,\n   0.005498615596248734,\n   0.007080384502773233,\n   0.017225344280140834,\n   0.022789448047173495,\n   0.028122837062994614,\n   0.0243021370024122,\n   0.01875635018861323,\n   0.02157772745055494,\n   0.021123988505253093,\n   0.02978999170415736,\n   0.025422166002216067,\n   0.017229558803014626,\n   0.0025851235894595644,\n   0.002499793090302839,\n   0.004436627730676737,\n   0.01739318055474641,\n   0.021937994266270345,\n   0.02440234291427007,\n   0.022589398448397604,\n   0.0037286946444373887,\n   0.002302010702662011,\n   0.002322336347887742,\n   0.008726358530642329,\n   0.020484002123683242,\n   0.026024163731017264,\n   0.029478923520110424,\n   0.029263070106506202,\n   0.02759307685977248,\n   0.01860079456303843,\n   0.0026902100256762864,\n   0.0023361762430123187,\n   0.002319512567447414,\n   0.0022817010182285638,\n   0.008922185485699034,\n   0.019086311590236868,\n   0.012144444347155586,\n   0.0091957297123526,\n   0.017629762383900138,\n   0.019165715738538976,\n   0.021785357441357955,\n   0.022868985335979766,\n   0.017370445977558917,\n   0.017288796088078207,\n   0.02314369328301532,\n   0.016790054088209754,\n   0.011280077047827847,\n   0.006329347756292242,\n   0.0025287483431046275,\n   0.0022965431260344687,\n   0.0017731919240273563,\n   0.0013561848383594477,\n   0.0011830314036402056,\n   0.001439201590527734,\n   0.0014578006737024484,\n   0.0019061513720837115,\n   0.0017130552469284694,\n   0.0015281443491216423,\n   0.001406350148106741,\n   0.0015543327018532245,\n   0.0014735346522316358,\n   0.0014581378611588174,\n   0.0,\n   0.002079800510380664,\n   0.002065807605055097,\n   0.0020482333079276786,\n   0.0021327145731172433,\n   0.0019092018063002919,\n   0.0025723624627265423,\n   0.0022456604647152567,\n   0.0022692961245770697,\n   0.002220046166134198,\n   0.0024572378914734985,\n   0.002202061754621858,\n   0.00228810771092029,\n   0.002451149337999437,\n   0.0025378088781646425]],\n [90,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.002488156766031528,\n   0.0026156144854623522,\n   0.002671305329698983,\n   0.003324149147379561,\n   0.00647543126264113,\n   0.007485107171659979,\n   0.00346371790930074,\n   0.002945168436348813,\n   0.002751672923818694,\n   0.002671538890433054,\n   0.0027269852219150375,\n   0.0028396222714444095,\n   0.0026787110879807085,\n   0.0025701020247133823,\n   0.00470239670393038,\n   0.005674267494275039,\n   0.0030938478874861348,\n   0.001453044546376048,\n   0.0016483026966204624,\n   0.0028079070451764634,\n   0.02242031157620856,\n   0.017527514121534155,\n   0.02069344451829729,\n   0.021407193072537897,\n   0.01955832908176424,\n   0.016480269811170473,\n   0.016671735924248685,\n   0.007928184629798878,\n   0.0051824033101065025,\n   0.006901769386533701,\n   0.017423259534032395,\n   0.02306479720227251,\n   0.028524096058206813,\n   0.0246399826503332,\n   0.018996902946518627,\n   0.021905445399846932,\n   0.021411280437427807,\n   0.030242288557433782,\n   0.025806585144642888,\n   0.01749168030180389,\n   0.0017237838505805637,\n   0.0016526850578143114,\n   0.00405187403210778,\n   0.01765411473134328,\n   0.02231272821864628,\n   0.024818313100781437,\n   0.02292420171306086,\n   0.0032982499674389875,\n   0.0013595930244649805,\n   0.0015437567551726576,\n   0.008683106529753045,\n   0.020709030139940555,\n   0.02637935680249934,\n   0.02990877739545477,\n   0.029670438209224267,\n   0.027980531232824853,\n   0.018850424677334995,\n   0.0018966546798780885,\n   0.0013173090041441401,\n   0.0012989245974799402,\n   0.0011646229710762439,\n   0.008933572053601286,\n   0.019346082873765425,\n   0.012228640902866027,\n   0.009134498329146711,\n   0.01793973294820762,\n   0.019497691809318863,\n   0.022178984749453165,\n   0.0233641897731848,\n   0.01773417187398527,\n   0.017669720976342253,\n   0.02357919252645045,\n   0.017001071718724576,\n   0.0113295011474025,\n   0.006201948967306503,\n   0.0016435143203459004,\n   0.0012125679115233378,\n   0.0012663781760924963,\n   0.002477120382277566,\n   0.0024377723124953993,\n   0.0026832978877896446,\n   0.0029118240265530865,\n   0.0031048798853026633,\n   0.0030349048597091265,\n   0.0029125800350608875,\n   0.002882477472656861,\n   0.003002791486145018,\n   0.0029419668823764795,\n   0.0030432793809699586,\n   0.002114124495904329,\n   0.0,\n   0.0008481123961034834,\n   0.0008560906974446672,\n   0.000988303101470602,\n   0.0009867050421736722,\n   0.0017417595619397567,\n   0.0011201291485792933,\n   0.0012203992374251952,\n   0.0012042773345599925,\n   0.0014963993442645028,\n   0.0010588367334769852,\n   0.0013110954152682531,\n   0.0012814043126977918,\n   0.0015150078512039026]],\n [91,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.00245017735500063,\n   0.002476580050313718,\n   0.0025309027617328537,\n   0.003101170958373714,\n   0.006342874459040088,\n   0.007366185824417002,\n   0.003411757891876506,\n   0.0028989849524564387,\n   0.002692310300729596,\n   0.0028066855933477266,\n   0.0027987280634237262,\n   0.0030352406902904596,\n   0.002716045796081829,\n   0.0026948974772035266,\n   0.004626043751930195,\n   0.005617079204285202,\n   0.003163336157022665,\n   0.0016269387879336123,\n   0.0017995644220299596,\n   0.002771815319853738,\n   0.0222355304309746,\n   0.017426016107995237,\n   0.02045023590621407,\n   0.02119623163850416,\n   0.019627239707464345,\n   0.01653862710566983,\n   0.01672371843602004,\n   0.007952989981743645,\n   0.005180198733887903,\n   0.006892526712435964,\n   0.01726243298805731,\n   0.02285295057195468,\n   0.028337509294457525,\n   0.024468491361288758,\n   0.018973675404667257,\n   0.02193760700156402,\n   0.021442733751742292,\n   0.0301981330810036,\n   0.025833669939651138,\n   0.01746878615498757,\n   0.0017640305619693135,\n   0.0017720151783002364,\n   0.003979449121418972,\n   0.01767194041475515,\n   0.022368033025696968,\n   0.02486658252199073,\n   0.022857081501490732,\n   0.0032586269767968367,\n   0.0014814155074532914,\n   0.0016504987476440613,\n   0.00862890418730371,\n   0.020823674021420577,\n   0.02645969281417213,\n   0.029933899725016807,\n   0.029566496376136193,\n   0.02781677719093279,\n   0.018716637699808494,\n   0.0019232509596961815,\n   0.0015471669019458336,\n   0.001429343489128577,\n   0.0013435206672878694,\n   0.008792459984705554,\n   0.019330018546189456,\n   0.012243382387013809,\n   0.00916575830079082,\n   0.017967620082728654,\n   0.01946720155362231,\n   0.02217934502219092,\n   0.02341460736198912,\n   0.01774362492619024,\n   0.017649088088864527,\n   0.023597490746469635,\n   0.017033744448520217,\n   0.011338807014687568,\n   0.006174188996310314,\n   0.0016818320920521175,\n   0.0014816013264529768,\n   0.0013004500306928789,\n   0.002567937465345874,\n   0.0024854220418510683,\n   0.0027643374832830563,\n   0.0029918877542971407,\n   0.0031699066455844545,\n   0.0030388096103165195,\n   0.0030015764153830103,\n   0.0028909536722430797,\n   0.003037211215673642,\n   0.003031654339459797,\n   0.003118227426325392,\n   0.0021100031842965993,\n   0.0008521926258855603,\n   0.0,\n   0.0008446284708556344,\n   0.0010299149241442096,\n   0.0010551202076023384,\n   0.0015326783973128404,\n   0.0011197071920002375,\n   0.001139546451898369,\n   0.0011658306088958295,\n   0.0014344109514903395,\n   0.001113419578695379,\n   0.001337235733780584,\n   0.0013708752523397753,\n   0.0014496297235756651]],\n [92,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.002562216217257328,\n   0.0026054067154418683,\n   0.0026740971666654005,\n   0.003244800071774569,\n   0.006384213109446176,\n   0.007393537956668464,\n   0.0035113775186874975,\n   0.0028641718270151955,\n   0.0027118044179488448,\n   0.00278140528511112,\n   0.002816916043387174,\n   0.003019302446144767,\n   0.0027016804731248086,\n   0.002660111073727241,\n   0.004703591227587336,\n   0.005558671674759261,\n   0.0030099629422159343,\n   0.0015629725680014212,\n   0.0017287177912377928,\n   0.002709638632331299,\n   0.022400665772576447,\n   0.01757066215464641,\n   0.020623316202855617,\n   0.021367503222006697,\n   0.01957395650379285,\n   0.016486735525911678,\n   0.01666603737500879,\n   0.007813776059784061,\n   0.005040296523478804,\n   0.006712183370396175,\n   0.017365794530800182,\n   0.02303118685459424,\n   0.028523936191221823,\n   0.024653595994659838,\n   0.0189499453140685,\n   0.02184892463454493,\n   0.021336190770413065,\n   0.030246597297049684,\n   0.02578941033834948,\n   0.017452427072120913,\n   0.0017153263671653388,\n   0.0016076956770103032,\n   0.003896032469077358,\n   0.017612633311488508,\n   0.022362606940675923,\n   0.02495172327517252,\n   0.02304474952278108,\n   0.00323642210335668,\n   0.001410402465829392,\n   0.0015939231697503385,\n   0.008485980754604949,\n   0.020667956768463246,\n   0.026334826793037308,\n   0.02988425295216835,\n   0.029660275640994195,\n   0.027959397985640563,\n   0.0187568590696959,\n   0.0019067840982946267,\n   0.0014522455362923894,\n   0.001287142616148397,\n   0.0012712614128101477,\n   0.00884620781856979,\n   0.01942775548351505,\n   0.012283373655597493,\n   0.009140197853861913,\n   0.017996951408285135,\n   0.01959365598548772,\n   0.022345225418188713,\n   0.023575015653641694,\n   0.01787937761010388,\n   0.01780998922668828,\n   0.023738068459720606,\n   0.017064177810272953,\n   0.011267907817516621,\n   0.006185309380946908,\n   0.001617766462192913,\n   0.0012258817782444722,\n   0.001070958991648877,\n   0.0025218790316522133,\n   0.002404246225228171,\n   0.0026745130232494353,\n   0.0029239529792552473,\n   0.003115387799746614,\n   0.0029891260082366626,\n   0.002979402164823144,\n   0.002887067782697851,\n   0.0030015549950550727,\n   0.0030325183741004413,\n   0.0030530801311956747,\n   0.0020982411619679883,\n   0.0008627537948848336,\n   0.0008471268674155437,\n   0.0,\n   0.0009957974110673291,\n   0.0009730859597647433,\n   0.0015331596009565943,\n   0.0011843681694139478,\n   0.001229231867253909,\n   0.0011592786159579347,\n   0.001438569848481635,\n   0.001050926420236407,\n   0.001303201022554364,\n   0.0013428713675365214,\n   0.0015746027655142386]],\n [93,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0025106722166222664,\n   0.002499558862329098,\n   0.0026161069373808847,\n   0.003216598113092734,\n   0.006445197630572196,\n   0.007655766020401765,\n   0.0033667131941760254,\n   0.0028919616558347396,\n   0.002689159248257194,\n   0.002775055866603273,\n   0.002809577247830392,\n   0.002924529068211328,\n   0.0026995408053927133,\n   0.002636014963539013,\n   0.004597299072343712,\n   0.005674326715356897,\n   0.003173041709437727,\n   0.0014232369932232554,\n   0.0016597091664256258,\n   0.002736604563614519,\n   0.02237843514740427,\n   0.017425129451209765,\n   0.020394693011382074,\n   0.0211618898995981,\n   0.019532829587080143,\n   0.016456726796858678,\n   0.016627800797291065,\n   0.00778766661979821,\n   0.004979903651537275,\n   0.006690405167138148,\n   0.01720353301442463,\n   0.022815036761389323,\n   0.028310599294089463,\n   0.02446241323512251,\n   0.01897643230221759,\n   0.02190364417583886,\n   0.021411767634728417,\n   0.030187635309557443,\n   0.025826329911086764,\n   0.017595402311127592,\n   0.0015813078435115,\n   0.0014830828541910828,\n   0.003884938269871731,\n   0.017770270912673275,\n   0.02258273825308204,\n   0.025227484870241554,\n   0.023434075714343944,\n   0.003476002606900317,\n   0.0013588913174234247,\n   0.0015750190538962702,\n   0.008698236663467088,\n   0.020815323770761153,\n   0.026433206210592617,\n   0.029883328686651608,\n   0.02951183830289117,\n   0.027778413962320347,\n   0.01869064091821015,\n   0.0018973565503982847,\n   0.0012901938340694806,\n   0.0012070547357584047,\n   0.0009642582796057474,\n   0.008910334110042613,\n   0.019442831149990607,\n   0.012311116771465127,\n   0.009319001166630937,\n   0.018026276375430424,\n   0.019573607743942685,\n   0.022334483587481434,\n   0.023559435214127664,\n   0.018005705670439798,\n   0.01792470875291869,\n   0.023811798262327995,\n   0.01713448058619748,\n   0.01128354347369186,\n   0.006286823460300669,\n   0.0015815500066649472,\n   0.0012435980201940774,\n   0.0010971056198991783,\n   0.002406373979921751,\n   0.0023812777046993204,\n   0.0026309196923143567,\n   0.0028452182313212088,\n   0.0030706528987718093,\n   0.003027051425959483,\n   0.0028805040819132118,\n   0.002880636189534323,\n   0.002980724924835712,\n   0.0029527036656875373,\n   0.0030602935680673887,\n   0.0021878430649420097,\n   0.000997389313006746,\n   0.0010344072187537855,\n   0.0009971912169693931,\n   0.0,\n   0.001055985138002634,\n   0.0016287618347026421,\n   0.001039756921962118,\n   0.0012977106144595567,\n   0.0012245680002679175,\n   0.001495176175211655,\n   0.0011344760858078967,\n   0.0013400965366007246,\n   0.0012932182600149643,\n   0.0016380555441384503]],\n [94,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0024996108872935973,\n   0.002487748864388392,\n   0.0025945127898267775,\n   0.0032935929446658864,\n   0.0064560230593297,\n   0.007751563517254247,\n   0.0032042226833385325,\n   0.0028183674112875127,\n   0.0025484980056463703,\n   0.0026485263881964025,\n   0.0026938062665711115,\n   0.0028021564957244186,\n   0.0024976163297186988,\n   0.0024984866335025927,\n   0.004608273306091029,\n   0.0055623545407105105,\n   0.0030663937841547933,\n   0.0013825177874124516,\n   0.0014261273202744956,\n   0.002578104040898248,\n   0.02256921956728697,\n   0.01766167830374596,\n   0.020824860323489767,\n   0.021564148913428755,\n   0.019737680083480615,\n   0.01661383775109536,\n   0.01681601303261404,\n   0.007979461629726022,\n   0.0052470435957556565,\n   0.006932514010228913,\n   0.017510511345944578,\n   0.023261210813790914,\n   0.0287500318856738,\n   0.02481603503268327,\n   0.01905827004616574,\n   0.02195612004488889,\n   0.021494126303504738,\n   0.030438887552474925,\n   0.025919508930410763,\n   0.01746857596086001,\n   0.0015178423988442687,\n   0.001401999877534115,\n   0.0038649519244428345,\n   0.01765424000565874,\n   0.022348474821628498,\n   0.02491388021751349,\n   0.023064374612667606,\n   0.0031635295823876078,\n   0.0012756573978489308,\n   0.001333490778094119,\n   0.008627659455065497,\n   0.020879037996145034,\n   0.026546472562581025,\n   0.03012039710361634,\n   0.02990306032114471,\n   0.028196134366271743,\n   0.018899863891947404,\n   0.0017001777097307128,\n   0.0012404586488645268,\n   0.0011300522476450931,\n   0.0010323199174085427,\n   0.00879613771436708,\n   0.019482890843629197,\n   0.012333870401272673,\n   0.009307383779896919,\n   0.018084163985767312,\n   0.019649833143636997,\n   0.02237520559231872,\n   0.023516144318981313,\n   0.017782628434490157,\n   0.017659262371727998,\n   0.023696642364060695,\n   0.017078771270407415,\n   0.011294204618792911,\n   0.0061315151585470285,\n   0.0016599074681005214,\n   0.0011828268384024765,\n   0.0009916708626951808,\n   0.0023347134371574903,\n   0.0022109833944440813,\n   0.002520838797756047,\n   0.002796891353860141,\n   0.0029369588342095143,\n   0.002875079750699433,\n   0.002815834417021819,\n   0.002745171783360184,\n   0.00286555403845913,\n   0.00290590557487205,\n   0.002989365211589138,\n   0.0019608173785059355,\n   0.0009969279690595968,\n   0.0010609477904598465,\n   0.0009755747221719642,\n   0.0010572061641468647,\n   0.0,\n   0.0015766905815338926,\n   0.0012110809102747321,\n   0.001107635938118877,\n   0.001248802833430767,\n   0.0013876171480466863,\n   0.001070109341453181,\n   0.0013755337201142286,\n   0.0014933774006734453,\n   0.0016050083209108675]],\n [95,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.00230259568028662,\n   0.0023489828377231707,\n   0.002391663766164818,\n   0.002759625518373208,\n   0.0057376719237103475,\n   0.007314577788128031,\n   0.003542662729943633,\n   0.0031395032951297298,\n   0.002936843968198202,\n   0.003089900886157387,\n   0.003093497838523721,\n   0.0033803495425095823,\n   0.0030881613818324813,\n   0.0030757304791596985,\n   0.00418190049521723,\n   0.005135526577657118,\n   0.0032723268537325316,\n   0.0019901596836347777,\n   0.0019350682608701717,\n   0.0024420630514365798,\n   0.02181599318647876,\n   0.01702649915894051,\n   0.020241135029691656,\n   0.020805736316878484,\n   0.018888671344146506,\n   0.01584846512364666,\n   0.016009408840246868,\n   0.007306415980140463,\n   0.005044978218352267,\n   0.006428336743584261,\n   0.01670906897261171,\n   0.02265976402001095,\n   0.028256561497878054,\n   0.02433855764406574,\n   0.018766780133341068,\n   0.021804320337170714,\n   0.021276440431447642,\n   0.0300921700283115,\n   0.025685616291193782,\n   0.017357032432984972,\n   0.002022324767714035,\n   0.0020275664776481486,\n   0.003573533929791088,\n   0.017517510383357342,\n   0.022281164574785066,\n   0.024746971077031003,\n   0.02266726728288614,\n   0.0032846545665660438,\n   0.0017024426855702275,\n   0.0018944981987035886,\n   0.008343922133908688,\n   0.020707715404528745,\n   0.026294038269913316,\n   0.029790811174792223,\n   0.02943943516740132,\n   0.02767835585665832,\n   0.01855704730684356,\n   0.0021777775902342153,\n   0.0021204145323034575,\n   0.001859202050075071,\n   0.0017557841578143176,\n   0.008191674603647692,\n   0.019012142994557998,\n   0.011962289733054363,\n   0.008615271088227447,\n   0.017400285467148453,\n   0.019168273037121573,\n   0.022052173562596703,\n   0.02327602079630419,\n   0.01754290484919874,\n   0.01739635443452767,\n   0.023499096903931323,\n   0.01680605718064752,\n   0.010920593512577178,\n   0.005653312589181281,\n   0.00201528974716837,\n   0.001975127770439822,\n   0.0017955254799741024,\n   0.002990609170304362,\n   0.0029227849636017694,\n   0.003178717512071073,\n   0.0033439621518033067,\n   0.0035349020884169443,\n   0.0033734470697973293,\n   0.0033949923577756206,\n   0.0032377803164556633,\n   0.003395368049390393,\n   0.0034461603945356695,\n   0.0034819258914384936,\n   0.0026333314855778124,\n   0.0017540933167749383,\n   0.00153614130052313,\n   0.0015320916903923656,\n   0.0016253523466087112,\n   0.0015715728985768254,\n   0.0,\n   0.001379941377466308,\n   0.001461771597926074,\n   0.0014456252123890984,\n   0.0012614084685325828,\n   0.0015402170753770013,\n   0.0016333940942320747,\n   0.001553719801158365,\n   0.0015250937405325926]],\n [96,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0025303906293662765,\n   0.002555450520151799,\n   0.002533182103075685,\n   0.003039224144207697,\n   0.0062462009092778175,\n   0.007632924196250991,\n   0.0033535343514127756,\n   0.002958755002705694,\n   0.002685880036405278,\n   0.002765802114114849,\n   0.002798591637065769,\n   0.0029368460307017752,\n   0.0027707224189714476,\n   0.002705044803818263,\n   0.004383714578881623,\n   0.005294602634545067,\n   0.0030662307373190856,\n   0.0014701552090600192,\n   0.0016412212276559017,\n   0.002540589856752221,\n   0.022313048340130908,\n   0.01741426083458364,\n   0.0204568023951425,\n   0.02128240176662402,\n   0.01964117334437544,\n   0.016539571058448114,\n   0.01673123603554347,\n   0.007777790643509903,\n   0.005003788394658864,\n   0.006639617514417432,\n   0.0171708802879697,\n   0.022860178473521994,\n   0.028418047143615198,\n   0.02451031495206107,\n   0.018931705788471486,\n   0.021969948569615403,\n   0.021436750477310796,\n   0.030267814958248162,\n   0.025878413731166224,\n   0.017541577985813572,\n   0.001617475813158236,\n   0.0015770853660707163,\n   0.003657413532960327,\n   0.01776046548439283,\n   0.022618206222967598,\n   0.02519351832486279,\n   0.02320314298260572,\n   0.003275726589210927,\n   0.001456385587528079,\n   0.001594391196108904,\n   0.008553168341677382,\n   0.020906151049579214,\n   0.02653927467617014,\n   0.030012575178504124,\n   0.02962787496945374,\n   0.02787992411177026,\n   0.018661302697244597,\n   0.0017377828989003049,\n   0.001486413566848871,\n   0.0013101847319495028,\n   0.0010302285147604769,\n   0.00863936950793258,\n   0.0193556601337548,\n   0.012224177310005984,\n   0.00920454464151738,\n   0.018076543766085036,\n   0.01957122877351265,\n   0.02227020352267182,\n   0.023509049560452362,\n   0.017842628336358263,\n   0.017739886198126373,\n   0.023674299097706797,\n   0.016981819460593708,\n   0.011142122878941013,\n   0.0060426920429832555,\n   0.0016099758152544389,\n   0.0014114491199654661,\n   0.0013185943264193613,\n   0.0025333457487948835,\n   0.0025360931580199475,\n   0.0027625655816122838,\n   0.0029614411027514033,\n   0.003196518105498659,\n   0.003085139998009863,\n   0.0030044605444466852,\n   0.002970219956098657,\n   0.003083587100851879,\n   0.0031166140562168313,\n   0.003215742903228717,\n   0.0023181377722124204,\n   0.0011375077682630019,\n   0.0011316350209893413,\n   0.0011934545897699079,\n   0.001046269440199609,\n   0.0012172590107608365,\n   0.0013914974637369289,\n   0.0,\n   0.0011590452524445976,\n   0.0013630258718125806,\n   0.0012725414675774111,\n   0.0012043397097536923,\n   0.001281722729866016,\n   0.0013468051712427274,\n   0.0014637083098673924]],\n [97,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.002298268194569332,\n   0.002272852559664543,\n   0.0023535649577436524,\n   0.00301699638626848,\n   0.005949801309372312,\n   0.007684143084822476,\n   0.0035680370973050954,\n   0.0030058219022286235,\n   0.0028135092668094795,\n   0.0029911048496971742,\n   0.002933735236862274,\n   0.0031538957383671316,\n   0.0028968179036434724,\n   0.0028017582424288423,\n   0.004256841214490163,\n   0.005273291766708328,\n   0.0032086954390629064,\n   0.0015805622301694057,\n   0.001772556559759644,\n   0.0022553858144742293,\n   0.02236026608574032,\n   0.01749969844430598,\n   0.02071721856137813,\n   0.0214892883389938,\n   0.019669089324740208,\n   0.01655620341897184,\n   0.016750695951014388,\n   0.007829579274003764,\n   0.005332401663632118,\n   0.006769064879151759,\n   0.01737139110374788,\n   0.023179913423219057,\n   0.028748172400219853,\n   0.024703783187362355,\n   0.018800846114877593,\n   0.021751600813510637,\n   0.021304484687903403,\n   0.03035276835271645,\n   0.025748603465140865,\n   0.017207929095338352,\n   0.001706985773591806,\n   0.0017116247545473668,\n   0.003663662116683173,\n   0.01737423921781203,\n   0.022178816571893956,\n   0.024821134917483244,\n   0.023069473707131936,\n   0.0030511595724383774,\n   0.0013612882172381736,\n   0.0015474474916838932,\n   0.00838104433277138,\n   0.020697095265198667,\n   0.026427802767538856,\n   0.030060955431745563,\n   0.029908852845877985,\n   0.02817758074086324,\n   0.01867379950535182,\n   0.0018508132029039148,\n   0.0016968909800411578,\n   0.0014226456707224567,\n   0.0013471966486204472,\n   0.008425170976382556,\n   0.019076005969722202,\n   0.012145962876118556,\n   0.00910198889352827,\n   0.018035771226768603,\n   0.01952799365066353,\n   0.022184526059680344,\n   0.02338952184270908,\n   0.01760831447343931,\n   0.017402165411950367,\n   0.023298183926133906,\n   0.016573990926041,\n   0.010762263078019993,\n   0.005737385305500803,\n   0.0016343164830571856,\n   0.0015978770617068878,\n   0.0014045593959777598,\n   0.0028157462888728337,\n   0.0027111990366506774,\n   0.002956930468861422,\n   0.0032082768133479206,\n   0.003332943497221716,\n   0.0032745295882104187,\n   0.0031732638358691325,\n   0.0031106644485171904,\n   0.0032302832019819234,\n   0.0032610720492012297,\n   0.003392671507454,\n   0.0023512429591713868,\n   0.0012439398658128963,\n   0.0011559661876511423,\n   0.0012432663205205255,\n   0.0013106923463895312,\n   0.0011174241781948403,\n   0.0014794915450080878,\n   0.0011633531730255076,\n   0.0,\n   0.0011886898779933704,\n   0.0012505589176954716,\n   0.0011260187436345338,\n   0.0011335472460942614,\n   0.0012967267279791871,\n   0.001204355544684501]],\n [98,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0021670232614248988,\n   0.0021317902138571886,\n   0.0023000814157003715,\n   0.0028643731044867087,\n   0.006014830106995533,\n   0.007339556445941792,\n   0.0035561072443657795,\n   0.0030179164225597925,\n   0.002851208696072935,\n   0.002936614580257395,\n   0.002867614936037088,\n   0.003175573867354053,\n   0.0028309296392448496,\n   0.0028232547877859804,\n   0.004394295625190335,\n   0.005525736019340582,\n   0.0032508038121291222,\n   0.0017565564571831928,\n   0.0017292625836041122,\n   0.002682454642064818,\n   0.022292258367969272,\n   0.0174560309722262,\n   0.020561705917587575,\n   0.02126121788451165,\n   0.019346755524830082,\n   0.01623905821652556,\n   0.016412839858206626,\n   0.007815600915380439,\n   0.00525763066861344,\n   0.006697814610601785,\n   0.0172131277689302,\n   0.022976532170715946,\n   0.02847087337008057,\n   0.024573154380112414,\n   0.01888799554290655,\n   0.021855184779588706,\n   0.021362937415324326,\n   0.03019797724424346,\n   0.025755780209970013,\n   0.017476384516406956,\n   0.0019627996636229048,\n   0.0018844155007171001,\n   0.003926925055343803,\n   0.017591711024352842,\n   0.02234611215874385,\n   0.0249111730099385,\n   0.02312239572331438,\n   0.0034207438204323236,\n   0.001373014718119014,\n   0.0015953745574912022,\n   0.008573072058487551,\n   0.02066467664398842,\n   0.02631565598112124,\n   0.0298534119239178,\n   0.029617164327259495,\n   0.027907596238019333,\n   0.018739475687438428,\n   0.0022748973479556124,\n   0.001781468557401475,\n   0.001678823970913197,\n   0.0015295749262451035,\n   0.008760866061856191,\n   0.01916745914953559,\n   0.012022926346732951,\n   0.00889154476935206,\n   0.01757628005850471,\n   0.019185241511859987,\n   0.021985153120382562,\n   0.02322341595032801,\n   0.017602991413664847,\n   0.017555244830059314,\n   0.0235635908455175,\n   0.016932886884750063,\n   0.0111285651301509,\n   0.006042089540521107,\n   0.0018706371767176473,\n   0.0017798737969215949,\n   0.0014412581494405124,\n   0.0027955279359170608,\n   0.002644476305996191,\n   0.002922309998200445,\n   0.0031295675910119523,\n   0.003299713202443763,\n   0.00319070044003092,\n   0.0031241324697042,\n   0.003026450404684946,\n   0.0031530669159902515,\n   0.0031324160811519175,\n   0.003187947744266132,\n   0.002269027680890435,\n   0.0012108641551942412,\n   0.0011665947107725035,\n   0.0011566171697745004,\n   0.0012200489759863415,\n   0.001242757386105171,\n   0.0014433117057302005,\n   0.0013495430325689332,\n   0.0011725733416347646,\n   0.0,\n   0.0013521412928929417,\n   0.0009987122001136398,\n   0.001171515989195029,\n   0.0011515242309472083,\n   0.0013611072113489664]],\n [99,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.002170556088787688,\n   0.0021888590689094368,\n   0.002305358832637022,\n   0.0026789661719029577,\n   0.005691440005735186,\n   0.007375787789377319,\n   0.0036845342565788057,\n   0.003130917856311275,\n   0.0028783576090529424,\n   0.0030446907738143577,\n   0.0030142417292745804,\n   0.0032727449283273687,\n   0.00299790521324216,\n   0.0030135747317915494,\n   0.004342829217721635,\n   0.005171919537565479,\n   0.002980292292441619,\n   0.0018062050316730624,\n   0.0018356836012556337,\n   0.002369561118938418,\n   0.0220108658705597,\n   0.017483589903027945,\n   0.020529250229105244,\n   0.021209071955784812,\n   0.019428383813879055,\n   0.01630696021793621,\n   0.01647110941552288,\n   0.00763969543099986,\n   0.00485540930628748,\n   0.00627943273435503,\n   0.017053226728408467,\n   0.022915371756750003,\n   0.028516869696852222,\n   0.024595854338063217,\n   0.018908179784852354,\n   0.02184306132702021,\n   0.021341799288470555,\n   0.03027509830452311,\n   0.025783230390298152,\n   0.017282522034380236,\n   0.0019859221363495876,\n   0.0020923645407483252,\n   0.003644698455827826,\n   0.01745669307726466,\n   0.022209088086269698,\n   0.024719558453985886,\n   0.02269538247026183,\n   0.003018514771879031,\n   0.0015064091330376998,\n   0.0018017096835462566,\n   0.008254442899443905,\n   0.02069688182465983,\n   0.02637509455843424,\n   0.029945053847181612,\n   0.02969173197671355,\n   0.027938329679778846,\n   0.018627670984957254,\n   0.0020161554850350425,\n   0.00200621508580128,\n   0.0017689019056486455,\n   0.0016772978086514476,\n   0.00835315843824402,\n   0.019157632111988964,\n   0.011904524599771078,\n   0.008798987311763307,\n   0.017587221903802856,\n   0.019203426846145993,\n   0.022021791170007788,\n   0.023190535576854982,\n   0.01738255770354645,\n   0.017295573035646487,\n   0.023395987651705735,\n   0.016737811663196246,\n   0.010964709718507493,\n   0.0057173845234623575,\n   0.0019053855768043997,\n   0.0019520647337171895,\n   0.0016894551193253875,\n   0.002967730427724679,\n   0.0028825257342872464,\n   0.003156967711435457,\n   0.0033028604187503125,\n   0.003456034872081343,\n   0.0033975596565995123,\n   0.003350139040802077,\n   0.0032217732521189115,\n   0.0034050823657791325,\n   0.00335416241941716,\n   0.0034751585073111253,\n   0.00252808298172957,\n   0.0015145469920125525,\n   0.0014448556979273178,\n   0.0014447712694819303,\n   0.0014995227517812218,\n   0.0013900437482524983,\n   0.001267729205114303,\n   0.0012682968519912546,\n   0.0012417722269719704,\n   0.001361094907184449,\n   0.0,\n   0.0010695773208063495,\n   0.001382918392503676,\n   0.00136941109379192,\n   0.0011776492217619805]],\n [100,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0022288380508393305,\n   0.00223703081730929,\n   0.002430076459391802,\n   0.0030063253471897386,\n   0.006119124419258027,\n   0.007361323664789448,\n   0.003502946645963293,\n   0.002943450180919756,\n   0.0027660668631061943,\n   0.0028132117562704763,\n   0.0028118775454360517,\n   0.003043213058567124,\n   0.0027957077971587224,\n   0.0027746189075910825,\n   0.004613343789069526,\n   0.005564242432622977,\n   0.00307026453181589,\n   0.0015859007446003125,\n   0.0017494339246025884,\n   0.0025510028658352816,\n   0.02226627134786897,\n   0.017593420360650844,\n   0.020620218203132302,\n   0.021362054929163987,\n   0.019541928047033166,\n   0.016425230412565335,\n   0.016629519080492223,\n   0.007907506087586526,\n   0.005030404729360873,\n   0.006544830290287603,\n   0.017283194724878895,\n   0.02301985733484628,\n   0.02853262420376702,\n   0.024671142173317735,\n   0.01901784617780919,\n   0.02189849305065772,\n   0.021396310622862787,\n   0.03028600458442255,\n   0.025819905949784464,\n   0.017461585474031916,\n   0.0018345563747691966,\n   0.0018739496815548653,\n   0.0039303071288930135,\n   0.017574841120182812,\n   0.0223200380176113,\n   0.02486058170312475,\n   0.023020742043380178,\n   0.0032931229046070393,\n   0.0012660980279432428,\n   0.0015790654364909033,\n   0.008544178495075522,\n   0.020716492370241837,\n   0.026381137128644355,\n   0.029926025789975087,\n   0.029689561569564375,\n   0.02797776658870634,\n   0.018779127938736716,\n   0.0020878847537351805,\n   0.0016492906543789632,\n   0.0015540560048900517,\n   0.0014317787738304746,\n   0.008832058304899412,\n   0.019406503887779928,\n   0.012117471569413764,\n   0.009044370844728892,\n   0.017827206167279577,\n   0.019412458501675094,\n   0.022152110232515315,\n   0.02326310673105761,\n   0.01756162503934961,\n   0.017533224932641985,\n   0.023566428851272594,\n   0.01694073642097045,\n   0.011168890011940899,\n   0.0060713191300054295,\n   0.0018569576291760938,\n   0.001636709707703333,\n   0.001273220111634362,\n   0.0027523065526385976,\n   0.002638197918320495,\n   0.0029064655196480663,\n   0.0031335647180248893,\n   0.0032792004262057013,\n   0.003202083058213787,\n   0.003152900454891524,\n   0.0030387578800397147,\n   0.0031912473507751805,\n   0.003123108583251551,\n   0.0032032402030966935,\n   0.002252121881335826,\n   0.0010653259786147528,\n   0.001114879708198024,\n   0.001049201077882449,\n   0.0011310304870252388,\n   0.0010656270605189752,\n   0.0015387602592439778,\n   0.0011932082623225778,\n   0.0011114800686141027,\n   0.0009993669040711,\n   0.0010632379273635489,\n   0.0,\n   0.001069370267113112,\n   0.0011888114169891389,\n   0.0013051578683625]],\n [101,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.002206412751590088,\n   0.0022737595449213023,\n   0.0023592549343050048,\n   0.0030542212342358917,\n   0.005914176153021162,\n   0.0072843525180881505,\n   0.0034177285638898216,\n   0.0030171127052943734,\n   0.0027912382063021695,\n   0.0028319313362846214,\n   0.0027628489375660674,\n   0.0030170219943876715,\n   0.0027185694139373554,\n   0.0027259421459383303,\n   0.004333734453251233,\n   0.0053883557240534345,\n   0.00305749312614813,\n   0.0015689026737684701,\n   0.0017472824182277367,\n   0.0024875689897567396,\n   0.022277963585292347,\n   0.01751285227153599,\n   0.020593685123111844,\n   0.021318458304353916,\n   0.019541840429509093,\n   0.01644457715064141,\n   0.016622304231329686,\n   0.0077918987091787776,\n   0.005007987054312457,\n   0.006512709192417733,\n   0.017266514337966804,\n   0.022993908060935465,\n   0.028525932906501072,\n   0.024603061980527845,\n   0.018876733246129793,\n   0.021800898075926778,\n   0.021309477585389588,\n   0.030258738964588985,\n   0.025765150508602896,\n   0.017418723739423183,\n   0.0019040636790586512,\n   0.0018960967322672558,\n   0.003920461479342354,\n   0.01749440905583834,\n   0.022336135627503997,\n   0.02499776270423875,\n   0.023277935311102255,\n   0.0033954750325721796,\n   0.0014937174825407679,\n   0.0017531500215544388,\n   0.008530307791096,\n   0.02057722117621963,\n   0.02632257813997234,\n   0.02990484115004811,\n   0.029706317711455706,\n   0.02799158780387049,\n   0.018668906782826095,\n   0.00220400748943703,\n   0.0017206236003989074,\n   0.0016384394014571071,\n   0.0015102774541869218,\n   0.00873953590717455,\n   0.019146389019129545,\n   0.01191365386678853,\n   0.008957322301686787,\n   0.017848732415922025,\n   0.0192954457324535,\n   0.021934476202708574,\n   0.023115525057500055,\n   0.017553934104105797,\n   0.017505827865279353,\n   0.023311364482203986,\n   0.016624049551298745,\n   0.010876812535337725,\n   0.005954022452042964,\n   0.001815511348836961,\n   0.0017989263920362704,\n   0.001438945956692408,\n   0.002836991992224313,\n   0.0027205036623094863,\n   0.0029964497697012463,\n   0.003228073747869864,\n   0.003366892264316992,\n   0.0032758597796254357,\n   0.003192445630388449,\n   0.0030694293715977116,\n   0.003249239842772939,\n   0.0031275917214794815,\n   0.0032732409141284016,\n   0.002351308745127094,\n   0.0013254355514899043,\n   0.0013453891748129475,\n   0.0013072800339764092,\n   0.0013424120724023914,\n   0.001376319061988093,\n   0.0016396486927221846,\n   0.0012759455166355702,\n   0.0011242592876162106,\n   0.0011778869941347786,\n   0.001381292410753716,\n   0.0010744814030525336,\n   0.0,\n   0.001240149966617404,\n   0.001225358291428136]],\n [102,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0019083113472536386,\n   0.002114141397118435,\n   0.002329344349970131,\n   0.002707991508186163,\n   0.005914657186782618,\n   0.007169873465454545,\n   0.003654288604737382,\n   0.003117468830116164,\n   0.0029290001402011404,\n   0.0030089434859118898,\n   0.0029555686774788165,\n   0.0032656000692618506,\n   0.0029942937259595575,\n   0.0029233492175068667,\n   0.004383242528121747,\n   0.0053218243079445,\n   0.003183845281604634,\n   0.0017203775961918228,\n   0.0018497992992873014,\n   0.0025979133622876177,\n   0.022293248643877835,\n   0.017316018411972875,\n   0.020526343419646514,\n   0.02130498463906757,\n   0.019388341223690694,\n   0.016357236486700066,\n   0.01651699722330025,\n   0.007631541103275819,\n   0.005182400251262543,\n   0.006500495084016745,\n   0.017124361190348075,\n   0.022865512973950335,\n   0.028377725810240385,\n   0.02445553134823299,\n   0.018713286292255785,\n   0.021723378801678322,\n   0.021175382513331308,\n   0.030085740829121885,\n   0.025638424960832927,\n   0.017375452267680336,\n   0.002072945852257722,\n   0.0021011500605701396,\n   0.003827902369118378,\n   0.017424344638826996,\n   0.022300194144188958,\n   0.024908303269808873,\n   0.02311955133064731,\n   0.00344861331250527,\n   0.00141166539245141,\n   0.001815248002462799,\n   0.008316186480341702,\n   0.020389989969028834,\n   0.026084423454198445,\n   0.029674033800394142,\n   0.02947914727922358,\n   0.027791121457972124,\n   0.01855208559106432,\n   0.0023401774944248376,\n   0.0019824911030286597,\n   0.0018140085072743644,\n   0.001669196203925463,\n   0.008660754984142026,\n   0.018946276118272053,\n   0.011831104479597326,\n   0.008745971283079362,\n   0.01771056550125404,\n   0.019245330284588844,\n   0.021924550713658345,\n   0.023227677787645618,\n   0.01765842760156505,\n   0.017608870016119025,\n   0.023369655486331273,\n   0.016634059024550583,\n   0.010820408031140764,\n   0.005750734406276365,\n   0.0017643087477679767,\n   0.001954885007061767,\n   0.0016567955149128395,\n   0.0029810723617487824,\n   0.0028940955431474838,\n   0.0031185894870214134,\n   0.0033113277436685666,\n   0.0035286316188746967,\n   0.003424699112078387,\n   0.0032969583237360636,\n   0.0031741688707894447,\n   0.003349930342343611,\n   0.003248666602046359,\n   0.0033400382441912072,\n   0.0025152296033235082,\n   0.0012935557999559592,\n   0.0013772493044982206,\n   0.0013451363219906562,\n   0.0012935888459738032,\n   0.0014920800656442945,\n   0.0015574251957738575,\n   0.0013388055038741772,\n   0.0012842512292275446,\n   0.0011561206458731946,\n   0.001365832946445512,\n   0.0011927747458445833,\n   0.0012383655890830622,\n   0.0,\n   0.0012460133953077167]],\n [103,\n  [0,\n   1,\n   2,\n   3,\n   4,\n   5,\n   6,\n   7,\n   8,\n   9,\n   10,\n   11,\n   12,\n   13,\n   14,\n   15,\n   16,\n   17,\n   18,\n   19,\n   20,\n   21,\n   22,\n   23,\n   24,\n   25,\n   26,\n   27,\n   28,\n   29,\n   30,\n   31,\n   32,\n   33,\n   34,\n   35,\n   36,\n   37,\n   38,\n   39,\n   40,\n   41,\n   42,\n   43,\n   44,\n   45,\n   46,\n   47,\n   48,\n   49,\n   50,\n   51,\n   52,\n   53,\n   54,\n   55,\n   56,\n   57,\n   58,\n   59,\n   60,\n   61,\n   62,\n   63,\n   64,\n   65,\n   66,\n   67,\n   68,\n   69,\n   70,\n   71,\n   72,\n   73,\n   74,\n   75,\n   76,\n   77,\n   78,\n   79,\n   80,\n   81,\n   82,\n   83,\n   84,\n   85,\n   86,\n   87,\n   88,\n   89,\n   90,\n   91,\n   92,\n   93,\n   94,\n   95,\n   96,\n   97,\n   98,\n   99,\n   100,\n   101,\n   102,\n   103],\n  [0.0018888338225979298,\n   0.001964293735945657,\n   0.002095068988528978,\n   0.0025587493594650926,\n   0.005645641001207097,\n   0.007210987135244319,\n   0.003659978000399269,\n   0.003151203064632292,\n   0.0029059320499718586,\n   0.0030199643921177727,\n   0.002893565353439167,\n   0.003217105927071306,\n   0.002988633063205723,\n   0.002929656858928996,\n   0.004163467642351042,\n   0.0051538958294018436,\n   0.0029703621137623757,\n   0.0017163103865344188,\n   0.0019341498871280648,\n   0.002311024698605952,\n   0.022006065306898706,\n   0.017287426749145546,\n   0.02048691294123252,\n   0.02117563947834514,\n   0.019429126715054004,\n   0.016372224324571808,\n   0.01654225362446691,\n   0.007636297904816434,\n   0.004998836449109194,\n   0.006343156156931258,\n   0.017011775184045463,\n   0.022838903685460626,\n   0.02842535067378893,\n   0.02445603696489229,\n   0.018779329574096677,\n   0.02178340305322708,\n   0.021267170383233776,\n   0.030194630636255902,\n   0.025710206145977754,\n   0.017288915888937013,\n   0.0020465501068415498,\n   0.0022164703160210786,\n   0.0037286253050518928,\n   0.017423562322022905,\n   0.022208028528172583,\n   0.024738039383271612,\n   0.022782207130408655,\n   0.0031049235715113195,\n   0.0015332932697727337,\n   0.0018262506181773378,\n   0.00825937598991817,\n   0.02054200278165894,\n   0.02625035748342233,\n   0.029856069571017347,\n   0.029608247789292032,\n   0.02785623081241227,\n   0.018568736123586064,\n   0.0022277928277093222,\n   0.002073740291343616,\n   0.001892568806012015,\n   0.0018395578445822161,\n   0.008351136145776225,\n   0.018869550212627532,\n   0.01187742792825004,\n   0.00878295916888906,\n   0.01771255586063086,\n   0.019260714896737276,\n   0.021978764264359126,\n   0.023260607802919345,\n   0.017497379467854693,\n   0.017384538379685652,\n   0.023270455923314996,\n   0.01649882961700835,\n   0.010678672800906754,\n   0.005694481057173471,\n   0.0019455820851513015,\n   0.002160417441738958,\n   0.0018711988808719833,\n   0.003087583441559863,\n   0.0030033846018034595,\n   0.003240692052144012,\n   0.0034533685507343714,\n   0.003597078318695858,\n   0.0035376725311695154,\n   0.003431111731432349,\n   0.0032672673320996663,\n   0.003470011981370188,\n   0.0033657495919731566,\n   0.0035011879627012384,\n   0.0026101915004595458,\n   0.0015329199078478106,\n   0.0014597460383478432,\n   0.0015809148918265984,\n   0.0016423232936960607,\n   0.0016073314271337926,\n   0.0015322746936958093,\n   0.0014583872100844165,\n   0.0011955337439409012,\n   0.001369708041235676,\n   0.0011772949652769933,\n   0.0013125447183302361,\n   0.001226431674003405,\n   0.0012489018413094088,\n   0.0]]]"
      }
     ],
     "prompt_number": 187
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "%store sc_list >sc_list_test_1.txt",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "Writing 'sc_list' (list) to file 'sc_list_test_1.txt'.\n"
      }
     ],
     "prompt_number": 55
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "Pxx.shape",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 24,
       "text": "(104, 1025)"
      }
     ],
     "prompt_number": 24
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "Pxx[0].shape",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 25,
       "text": "(1025,)"
      }
     ],
     "prompt_number": 25
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "sum(Pxx[0])",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 27,
       "text": "0.11682367948763311"
      }
     ],
     "prompt_number": 27
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "test_spectrum = Pxx[0]\ntotal = sum(test_spectrum)\ntest_spectrum /= total\n\n# here we are interpreting the energy at different bins as probability weights for a tone cloud, so we need\n# to normalize them to sum to 1. this is just a test on the zeroth window.\n",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 28
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "test_spectrum",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 29,
       "text": "array([  3.01106159e-02,   1.65467257e-02,   3.09017270e-02, ...,\n         1.03952198e-07,   2.28709463e-07,   1.17450224e-07])"
      }
     ],
     "prompt_number": 29
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "sum(test_spectrum)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 30,
       "text": "1.0000000000000002"
      }
     ],
     "prompt_number": 30
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "test_spectrum.shape",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 31,
       "text": "(1025,)"
      }
     ],
     "prompt_number": 31
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "fundamental = sr / float(2048)     # this turns out to be about 21.5 Hz, which is our resolution.\nfreqs = arange(1025)               \nfreq_range = freqs * fundamental   # mapping the bin numbers to frequencies\n \n",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 39
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "freq_range",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 40,
       "text": "array([  0.00000000e+00,   2.15332031e+01,   4.30664062e+01, ...,\n         2.20069336e+04,   2.20284668e+04,   2.20500000e+04])"
      }
     ],
     "prompt_number": 40
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "freq_range[1024]",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 185,
       "text": "22050.0"
      }
     ],
     "prompt_number": 185
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "# needs to be of the form\n\n#  [\n#  [freq0, freq_range, test_spectrum[0]],\n#  [freq1, freq_range, test_spectrum[1]],\n#  ...\n#  [freq1024, freq_range, test_spectrum[1024]\n#  ]\n\n# for Markov",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 45
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "freq_range = freq_range.tolist()",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 46
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "len(test_spectrum)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 53,
       "text": "1025"
      }
     ],
     "prompt_number": 53
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "len(freq_range)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 54,
       "text": "1025"
      }
     ],
     "prompt_number": 54
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "cd /Users/adj/Desktop/",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "/Users/adj/Desktop\n"
      }
     ],
     "prompt_number": 56
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "%store freq_range > sc_list_freqs_1.txt\n%store test_spectrum > sc_list_weights_1.txt",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "Writing 'freq_range' (list) to file 'sc_list_freqs_1.txt'.\nWriting 'test_spectrum' (list) to file 'sc_list_weights_1.txt'."
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "\n"
      }
     ],
     "prompt_number": 57
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "cd PythonTxt/",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "/Users/adj/Desktop/PythonTxt\n"
      }
     ],
     "prompt_number": 59
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "weight_list = []\nfor row in Pxx:\n    normalize = sum(row)\n    row /= normalize\n    row = row.tolist()\n    weight_list.append(row)",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 60
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "len(weight_list)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 61,
       "text": "104"
      }
     ],
     "prompt_number": 61
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "sum(weight_list[0])",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 63,
       "text": "0.99999999999999989"
      }
     ],
     "prompt_number": 63
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "%store weight_list > sc_full_weight_list.txt",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "Writing 'weight_list' (list) to file 'sc_full_weight_list.txt'.\n"
      }
     ],
     "prompt_number": 64
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "cd ../Music/",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "/Users/adj/Desktop/Music\n"
      }
     ],
     "prompt_number": 91
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": "<h2> Feedback---working with the resulting audio to generate a new SSM </h2>"
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "loader = MonoLoader(filename = 'ssm_0.wav')\nssm_0 = loader()\n",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 92
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "Pxx, freqs, times, im = specgram(ssm_0, NFFT=2048, Fs=sr, window=window_hanning, noverlap=1024);",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAD9CAYAAAC4EtBTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nmI7pmI6xMRUM0zEd0zEd0zE2/g9JPrXC6CV+XwAAAABJRU5ErkJggg==\n",
       "text": "<matplotlib.figure.Figure at 0x11897a710>"
      }
     ],
     "prompt_number": 93
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "Pxx = sqrt(Pxx)\nPxx = Pxx.T",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 94
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "len(Pxx.T[0])",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 112,
       "text": "171"
      }
     ],
     "prompt_number": 112
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "def getSSMofSpec(Pxx):\n    size = len(Pxx.T[0])\n    ssm = []\n    for v in Pxx:     \n        for w in Pxx:\n            length = linalg.norm(v-w)\n            ssm.append(length)\n    ssm = array(ssm).reshape((size, size))\n    return ssm\n# belatedly writing some function definitions to make things easier                   ",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 113
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "ssm = getSSMofSpec(Pxx)",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 114
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "ssm.shape",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 115,
       "text": "(171, 171)"
      }
     ],
     "prompt_number": 115
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "def getTransitionMatrix(ssm):\n    transition_matrix = []\n    for row in ssm:\n        row = row.tolist()\n        transition_matrix.append(row)\n    return transition_matrix\n# more 'refactoring'",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 116
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "transition_matrix = getTransitionMatrix(ssm)",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 117
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "len(transition_matrix)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 118,
       "text": "171"
      }
     ],
     "prompt_number": 118
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "cd ../PythonTxt/",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "/Users/adj/Desktop/PythonTxt\n"
      }
     ],
     "prompt_number": 119
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "%store transition_matrix > sc_transition_matrix_1.txt",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "Writing 'transition_matrix' (list) to file 'sc_transition_matrix_1.txt'.\n"
      }
     ],
     "prompt_number": 120
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "def getWeightList(Pxx):\n    weight_list = []\n    for row in Pxx:\n        normalize = sum(row)\n        row /= normalize\n        row = row.tolist()\n        weight_list.append(row)\n    return weight_list",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 121
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "weight_list = getWeightList(Pxx)",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 125
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "%store weight_list > sc_weight_list_1.txt",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "Writing 'weight_list' (list) to file 'sc_weight_list_1.txt'.\n"
      }
     ],
     "prompt_number": 126
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "sum(weight_list[0])",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 128,
       "text": "0.99999999999999978"
      }
     ],
     "prompt_number": 128
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": "<h2> Working with RMS </h2>"
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "times, super_rms = windowed_rms(houston, 4096, 512, 44100)\nplot(times, rms)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 188,
       "text": "[<matplotlib.lines.Line2D at 0x114db2c50>]"
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAD9CAYAAABQvqc9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nw8QQLPoMwzAxxP8H7HvNA9h4ZBUAAAAASUVORK5CYII=\n",
       "text": "<matplotlib.figure.Figure at 0x114cd3a90>"
      }
     ],
     "prompt_number": 188
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "cd ../PythonTxt/",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": "/Users/adj/Desktop/PythonTxt\n"
      }
     ],
     "prompt_number": 139
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "normalize = max(super_rms)\nsuper_rms /= normalize          # since it is going to be an envelope, we want it to have a maximum of 1.0",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 144
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "plot(times, super_rms)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 145,
       "text": "[<matplotlib.lines.Line2D at 0x114c784d0>]"
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD9CAYAAABHnDf0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text": "<matplotlib.figure.Figure at 0x1189786d0>"
      }
     ],
     "prompt_number": 145
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "super_rms = super_rms.tolist()",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 148
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "len(super_rms)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 151,
       "text": "210"
      }
     ],
     "prompt_number": 151
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "w = hanning(210)",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 153
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "super_rms *= w",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 163
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "plot(super_rms)     # it's a bit nicer for smoothness if the envelope starts and ends at near 0",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 157,
       "text": "[<matplotlib.lines.Line2D at 0x114ca5110>]"
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXgAAAD9CAYAAAC2l2x5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYsATEYUoBjwRUYhiwBMRhSgGPBFRiPp/+x8ZqyrrNpgAAAAASUVORK5CYII=\n",
       "text": "<matplotlib.figure.Figure at 0x114c35590>"
      }
     ],
     "prompt_number": 157
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "super_rms = super_rms.tolist()     # useful for parsing in SC",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 159
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": "<h3> Finding extrema </h3>"
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "super_rms_deriv = super_rms[1:] - super_rms[:-1]",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 164
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "plot(super_rms_deriv)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 165,
       "text": "[<matplotlib.lines.Line2D at 0x114cce210>]"
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYYAAAD9CAYAAAC4EtBTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
       "text": "<matplotlib.figure.Figure at 0x114ca9590>"
      }
     ],
     "prompt_number": 165
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "argwhere(abs(super_rms_deriv) < 0.01)     # an arbitrary threshold",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 173,
       "text": "array([[  0],\n       [  1],\n       [  2],\n       [  3],\n       [  4],\n       [  5],\n       [  6],\n       [  7],\n       [  8],\n       [  9],\n       [ 10],\n       [ 11],\n       [ 12],\n       [ 13],\n       [ 14],\n       [ 15],\n       [ 16],\n       [ 17],\n       [ 18],\n       [ 19],\n       [ 20],\n       [ 21],\n       [ 22],\n       [ 23],\n       [ 24],\n       [ 25],\n       [ 26],\n       [ 27],\n       [ 28],\n       [ 29],\n       [ 30],\n       [ 31],\n       [ 32],\n       [ 33],\n       [ 35],\n       [ 36],\n       [ 37],\n       [ 41],\n       [ 42],\n       [ 43],\n       [ 44],\n       [ 45],\n       [ 46],\n       [ 47],\n       [ 48],\n       [ 49],\n       [ 50],\n       [ 51],\n       [ 52],\n       [ 53],\n       [ 54],\n       [ 64],\n       [ 65],\n       [ 66],\n       [ 72],\n       [ 73],\n       [115],\n       [120],\n       [121],\n       [124],\n       [125],\n       [135],\n       [150],\n       [151],\n       [152],\n       [153],\n       [154],\n       [155],\n       [156],\n       [157],\n       [158],\n       [159],\n       [160],\n       [161],\n       [162],\n       [163],\n       [164],\n       [165],\n       [166],\n       [167],\n       [168],\n       [169],\n       [170],\n       [171],\n       [172],\n       [173],\n       [174],\n       [175],\n       [176],\n       [177],\n       [178],\n       [179],\n       [180],\n       [181],\n       [182],\n       [183],\n       [184],\n       [185],\n       [186],\n       [187],\n       [188],\n       [189],\n       [190],\n       [191],\n       [192],\n       [193],\n       [194],\n       [195],\n       [196],\n       [197],\n       [198],\n       [199],\n       [200],\n       [201],\n       [202],\n       [203],\n       [204],\n       [205],\n       [206],\n       [207],\n       [208]])"
      }
     ],
     "prompt_number": 173
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "amplitudes = []\namplitudes.append(super_rms[47])\namplitudes.append(super_rms[72])\namplitudes.append(super_rms[115])\namplitudes.append(super_rms[125])\n# the four most prominent peaks",
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 174
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "normalize = sum(amplitudes)\namplitudes /= normalize          # we interpret these probablistically, so we normalize them to sum to 1\namplitudes",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 176,
       "text": "array([ 0.09646785,  0.43827433,  0.09014332,  0.3751145 ])"
      }
     ],
     "prompt_number": 176
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": "sum(amplitudes)",
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 177,
       "text": "1.0"
      }
     ],
     "prompt_number": 177
    }
   ],
   "metadata": {}
  }
 ]
}