{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/zanemartin/anaconda/lib/python3.6/site-packages/matplotlib/__init__.py:1405: UserWarning: \n",
      "This call to matplotlib.use() has no effect because the backend has already\n",
      "been chosen; matplotlib.use() must be called *before* pylab, matplotlib.pyplot,\n",
      "or matplotlib.backends is imported for the first time.\n",
      "\n",
      "  warnings.warn(_use_error_msg)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.LineCollection at 0x105067128>"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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fCGIib5Gakm78bGVlyY2Y22aMSCtJdLI3Mzs7O8qUKcNLL73E008/zWeffZZj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\nMAyjBTDF3jAMowX4f9QacTUZiNvlAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b3be780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# -*- coding: utf-8 -*-\n",
    "\"\"\"\n",
    "Created on Tue Aug 28 10:23:29 2018\n",
    "\n",
    "@author: chudl\n",
    "\"\"\"\n",
    "from __future__ import division\n",
    "import numpy as np  # NumPy (multidimensional arrays, linear algebra, ...)\n",
    "import scipy as sp  # SciPy (signal and image processing library)\n",
    "import matplotlib as mpl         # Matplotlib (2D/3D plotting library)\n",
    "import matplotlib.pyplot as plt  # Matplotlib's pyplot: MATLAB-like syntax\n",
    "%matplotlib inline\n",
    "from pylab import *              # Matplotlib's pylab interface\n",
    "from mpl_toolkits.basemap import Basemap\n",
    "import glob\n",
    "from skewPy import SkewT\n",
    "import pandas as pd\n",
    "\n",
    "files = sorted(glob.glob('/Volumes/cruiseshare/Soundings/Thompson/edt/e*'))\n",
    "\n",
    "\n",
    "lat = []\n",
    "lon = []\n",
    "for f in files:\n",
    "    data = loadtxt(f,skiprows = 30)\n",
    "    lat.append(data[:,9])\n",
    "    lon.append(data[:,10])\n",
    "\n",
    "start_lon = [l[0] for l in lon]    \n",
    "start_lat = [l[0] for l in lat]\n",
    "\n",
    "lonMin = 115\n",
    "lonMax = 145\n",
    "latMin = 5\n",
    "latMax = 25\n",
    "\n",
    "\n",
    "m = Basemap(llcrnrlon=lonMin, llcrnrlat=latMin, urcrnrlat=latMax, urcrnrlon=lonMax, \\\n",
    "            resolution = 'l', suppress_ticks=False)\n",
    "\n",
    "colors = [mpl.cm.viridis(x) for x in np.linspace(0,1,len(files))]\n",
    "\n",
    "m.scatter(start_lon,start_lat, s = 15, c = colors, latlon=True)\n",
    "m.drawcoastlines()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "List of soundings:  ['/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180820_2335.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180821_0530.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180821_1235.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180821_1733.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180821_2333.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180822_0523.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180822_1128.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180822_1724.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180822_2328.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180823_0226.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180823_0526.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180823_0827.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180823_1128.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180823_1426.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180823_1727.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180823_2027.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180823_2325.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180824_0226.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180824_0553.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180824_0830.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180824_1142.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180824_1428.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180824_1728.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180824_2035.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180824_2325.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180825_0225.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180825_0527.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180825_0828.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180825_1129.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180825_1427.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180825_1728.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180825_2027.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180825_2328.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180826_0227.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180826_0526.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180826_0825.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180826_1129.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180826_1427.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180826_1729.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180826_2028.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180826_2327.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180827_0229.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180827_0526.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180827_0826.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180827_1126.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180827_1426.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180827_1725.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180827_2026.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180827_2328.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180828_0227.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180828_0526.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180828_0826.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180828_1128.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180828_1427.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180828_1726.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180828_2026.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180828_2329.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180829_0227.txt', '/Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180829_0527.txt']\n",
      "Most current sounding:  /Volumes/cruiseshare/Soundings/Thompson/edt/edt_20180829_0527.txt\n"
     ]
    }
   ],
   "source": [
    "# Main folder where the reading is done; creates list of all current soundings\n",
    "file_list = files\n",
    "print('List of soundings: ', file_list)\n",
    "print('Most current sounding: ', file_list[-1])\n",
    "\n",
    "S1 = SkewT.Sounding(data={}, fmt='PISTON_EDT', init_plot=0)\n",
    "#S1.make_skewt_axes()\n",
    "data_set = ()\n",
    "date_list = ()\n",
    "\n",
    "for file_name,idx in zip(file_list, np.arange(len(file_list))):\n",
    "    S1.readfile(file_name)\n",
    "    #S1.add_profile(color=clrs[-idx], bloc=.6 + .2*idx, bcol=clrs[-idx])\n",
    "    data_set = np.append(data_set, S1.data)\n",
    "    date_list = np.append(date_list, S1.sounding_date)\n",
    "\n",
    "# Sets up goal heights up to 20km and interpolate tempa nd dewpt\n",
    "z = np.linspace(0, 17000, 300)\n",
    "\n",
    "# Calculates zonal and meridional wind from the speed and direction\n",
    "u = np.empty([len(z), len(data_set)])\n",
    "v = np.empty(u.shape)\n",
    "\n",
    "# More interpolation\n",
    "for i in range(len(data_set)):\n",
    "    utemp = data_set[i]['sknt']*np.cos(np.radians(270-data_set[i]['drct']))\n",
    "    vtemp = data_set[i]['sknt']*np.sin(np.radians(270-data_set[i]['drct']))\n",
    "    utemp = np.interp(z, data_set[i]['hght'], utemp)\n",
    "    vtemp = np.interp(z, data_set[i]['hght'], vtemp)\n",
    "    utemp[np.where(z>data_set[i]['hght'].max())] = np.nan\n",
    "    vtemp[np.where(z>data_set[i]['hght'].max())] = np.nan\n",
    "    u[:,i] = utemp\n",
    "    v[:,i] = vtemp\n",
    "#print(u)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x10f1907b8>]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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kB4vIZ5PZK5E7ph7NP685jksm5DO/pJrrH3mPCbfM5paZy9hS2xDpiBJB7R45mNnJQC3w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\nIiJtqDiIiEgb/z/79RMedKd0nQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x104fce278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#print(u)\n",
    "plt.plot(np.nanmean(u, 1), z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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lA3eCJ1hlJMczLDWBrNQEivLSmFU0nILMZAoykxnhDYemxGunLwOWQkD6nHOO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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f27f278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Sets up goal heights up to 20km and interpolate tempa nd dewpt\n",
    "pres = np.linspace(100, 1000, 200)\n",
    "\n",
    "# Calculates zonal and meridional wind from the speed and direction\n",
    "u = np.empty([len(pres), len(data_set)])\n",
    "v = np.empty(u.shape)\n",
    "\n",
    "# More interpolation\n",
    "for i in range(len(data_set)):\n",
    "    utemp = data_set[i]['sknt']*np.cos(np.radians(270-data_set[i]['drct']))\n",
    "    vtemp = data_set[i]['sknt']*np.sin(np.radians(270-data_set[i]['drct']))\n",
    "    utemp = np.interp(pres[::-1], data_set[i]['pres'][::-1], utemp[::-1])\n",
    "    vtemp = np.interp(pres[::-1], data_set[i]['pres'][::-1], vtemp[::-1])\n",
    "    #utemp[np.where(pres>data_set[i]['pres'].max())] = np.nan\n",
    "    #vtemp[np.where(pres>data_set[i]['pres'].max())] = np.nan\n",
    "    u[:,i] = utemp[::-1]\n",
    "    v[:,i] = vtemp[::-1]\n",
    "#print(u)\n",
    "plt.plot(np.nanmean(u, 1), pres)\n",
    "\n",
    "tom_u850 = u[np.argmin(abs(pres - 850)), :]\n",
    "tom_u200 = u[np.argmin(abs(pres - 200)), :]\n",
    "\n",
    "tom_v850 = v[np.argmin(abs(pres - 850)), :]\n",
    "tom_v200 = v[np.argmin(abs(pres - 200)), :]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "111\n",
      "[-- 26.0 21.0 13.0 17.0 19.0 33.0 34.0 36.0 37.0 38.0 51.0 52.0 36.0 37.0\n",
      " 38.0 42.0 42.0 38.0 19.0 19.0 23.0 26.0 30.0 38.0 40.0 40.0 25.0 38.0 44.0\n",
      " 57.0 72.0 75.0 75.0 74.0 70.0 61.0 61.0 57.0 57.0 57.0 54.0 45.0 38.0 38.0\n",
      " 37.0 37.0 39.0 43.0 45.0 47.0 48.0 18.0 11.0 17.0 20.0 25.0 30.0 33.0 36.0\n",
      " 37.0 39.0 42.0 46.0 49.0 49.0 46.0 45.0 44.0 40.0 39.0 37.0 33.0 32.0 32.0\n",
      " 30.0 27.0 25.0 23.0 22.0 23.0 23.0 24.0 24.0 25.0 27.0 27.0 24.0 23.0 22.0\n",
      " 20.0 17.0 17.0 17.0 17.0 17.0 17.0 16.0 16.0 15.0 15.0 14.0 14.0 13.0 11.0\n",
      " 10.0 6.0 4.0 2.0 2.0 2.0 2.0 2.0 0.0 0.0 1.0 2.0 4.0 4.0 5.0 6.0 8.0 6.0\n",
      " 6.0 10.0 10.0 11.0 15.0 15.0 15.0 13.0 13.0 13.0 14.0 14.0 14.0 14.0 11.0\n",
      " 10.0 9.0 9.0 9.0]\n",
      "[-- 9.0 6.0 5.0 12.0 29.0 31.0 49.0 46.0 39.0 39.0 53.0 55.0 46.0 41.0 38.0\n",
      " 36.0 33.0 37.0 48.0 34.0 33.0 30.0 41.0 55.0 58.0 59.0 60.0 59.0 59.0 63.0\n",
      " 63.0 57.0 57.0 53.0 53.0 47.0 39.0 36.0 40.0 41.0 41.0 40.0 40.0 40.0 41.0\n",
      " 41.0 44.0 47.0 44.0 36.0 26.0 23.0 25.0 27.0 28.0 32.0 34.0 37.0 38.0 38.0\n",
      " 39.0 40.0 40.0 41.0 41.0 41.0 41.0 41.0 40.0 40.0 40.0 39.0 39.0 39.0 39.0\n",
      " 37.0 34.0 33.0 31.0 29.0 29.0 22.0 22.0 23.0 25.0 26.0 27.0 24.0 24.0 23.0\n",
      " 23.0 25.0 26.0 27.0 27.0 25.0 23.0 22.0 22.0 22.0 21.0 17.0 17.0 17.0 15.0\n",
      " 14.0 14.0 13.0 12.0 4.0 4.0 3.0 3.0 3.0 4.0 4.0 7.0 8.0 8.0 10.0 10.0 7.0\n",
      " 8.0 12.0 13.0 14.0 15.0 14.0 14.0 16.0 13.0 13.0 12.0 14.0 14.0 14.0 11.0\n",
      " 11.0 10.0 10.0 10.0 10.0 9.0 8.0 7.0 6.0]\n",
      "[-- 31.0 32.0 37.0 40.0 40.0 36.0 36.0 33.0 28.0 17.0 13.0 15.0 17.0 18.0\n",
      " 25.0 28.0 34.0 36.0 25.0 19.0 31.0 35.0 38.0 42.0 47.0 47.0 44.0 40.0 40.0\n",
      " 41.0 41.0 40.0 37.0 42.0 54.0 58.0 63.0 63.0 61.0 61.0 60.0 59.0 59.0 58.0\n",
      " 58.0 58.0 57.0 56.0 56.0 45.0 39.0 35.0 37.0 40.0 42.0 43.0 46.0 50.0 41.0\n",
      " 32.0 29.0 49.0 41.0 38.0 32.0 29.0 27.0 35.0 35.0 34.0 34.0 33.0 32.0 33.0\n",
      " 33.0 34.0 34.0 35.0 36.0 33.0 31.0 29.0 28.0 28.0 27.0 27.0 27.0 28.0 29.0\n",
      " 29.0 29.0 27.0 27.0 29.0 26.0 25.0 24.0 20.0 19.0 18.0 17.0 16.0 15.0 15.0\n",
      " 14.0 14.0 13.0 12.0 10.0 8.0 6.0 4.0 1.0 1.0 2.0 3.0 4.0 4.0 2.0 2.0 2.0\n",
      " 3.0 4.0 4.0 5.0 7.0 8.0 9.0 11.0 11.0 11.0 12.0 12.0 13.0 13.0 13.0 13.0\n",
      " 13.0 12.0 12.0 13.0 13.0 13.0 13.0 13.0 13.0 12.0 12.0 9.0 8.0 8.0 6.0 8.0]\n",
      "[-- 10.0 25.0 29.0 26.0 21.0 19.0 19.0 32.0 49.0 49.0 51.0 36.0 33.0 27.0\n",
      " 37.0 45.0 57.0 64.0 66.0 69.0 69.0 69.0 68.0 64.0 55.0 46.0 51.0 32.0 34.0\n",
      " 36.0 37.0 39.0 43.0 45.0 48.0 46.0 37.0 32.0 30.0 29.0 32.0 36.0 38.0 43.0\n",
      " 40.0 39.0 36.0 32.0 32.0 33.0 33.0 33.0 31.0 31.0 33.0 30.0 29.0 25.0 24.0\n",
      " 24.0 24.0 23.0 22.0 22.0 21.0 20.0 20.0 19.0 18.0 18.0 17.0 17.0 18.0 17.0\n",
      " 14.0 13.0 14.0 17.0 18.0 17.0 16.0 15.0 14.0 13.0 12.0 11.0 11.0 11.0 12.0\n",
      " 12.0 12.0 12.0 12.0 13.0 13.0 12.0 10.0 7.0 7.0 8.0 8.0 7.0 6.0 5.0 4.0\n",
      " 3.0 2.0 3.0 5.0 7.0 8.0 8.0 7.0 7.0 7.0 11.0 11.0 10.0 9.0 9.0 8.0 9.0 9.0\n",
      " 8.0 7.0 9.0 9.0 9.0 9.0 10.0 10.0 7.0 6.0 4.0]\n",
      "[47.0 -- 25.0 18.0 13.0 12.0 13.0 18.0 23.0 25.0 23.0 26.0 27.0 28.0 19.0\n",
      " 18.0 17.0 16.0 11.0 10.0 4.0 15.0 20.0 25.0 29.0 47.0 57.0 54.0 50.0 43.0\n",
      " 40.0 52.0 48.0 41.0 54.0 54.0 54.0 59.0 64.0 64.0 59.0 50.0 48.0 49.0 54.0\n",
      " 52.0 52.0 53.0 47.0 37.0 39.0 44.0 46.0 44.0 44.0 41.0 40.0 45.0 49.0 51.0\n",
      " 45.0 40.0 36.0 36.0 41.0 45.0 49.0 50.0 43.0 36.0 33.0 31.0 31.0 28.0 30.0\n",
      " 30.0 32.0 32.0 29.0 27.0 28.0 29.0 30.0 30.0 27.0 20.0 21.0 21.0 20.0 19.0\n",
      " 20.0 20.0 19.0 18.0 15.0 15.0 15.0 16.0 16.0 16.0 15.0 14.0 14.0 13.0 13.0\n",
      " 13.0 13.0 12.0 12.0 12.0 10.0 10.0 9.0 8.0 8.0 8.0 7.0 7.0 7.0 7.0 7.0 1.0\n",
      " 0.0 3.0 3.0 5.0 6.0 6.0 7.0 7.0 4.0 3.0 0.0 2.0 2.0 1.0 1.0 1.0 7.0 6.0\n",
      " 6.0 11.0 12.0 13.0 15.0 15.0 16.0 22.0 21.0 20.0 19.0 18.0 14.0 8.0 6.0]\n",
      "[-- 35.0 26.0 5.0 8.0 13.0 32.0 29.0 24.0 18.0 17.0 27.0 35.0 32.0 32.0\n",
      " 30.0 24.0 12.0 2.0 11.0 19.0 19.0 15.0 15.0 16.0 18.0 20.0 21.0 35.0 42.0\n",
      " 41.0 25.0 25.0 34.0 30.0 46.0 70.0 70.0 70.0 67.0 63.0 65.0 63.0 60.0 56.0\n",
      " 54.0 51.0 49.0 49.0 51.0 51.0 48.0 45.0 45.0 45.0 43.0 41.0 36.0 33.0 34.0\n",
      " 35.0 35.0 35.0 35.0 35.0 39.0 50.0 50.0 45.0 39.0 37.0 41.0 42.0 43.0 41.0\n",
      " 39.0 37.0 37.0 39.0 39.0 41.0 42.0 40.0 40.0 39.0 38.0 35.0 32.0 31.0 26.0\n",
      " 20.0 19.0 19.0 18.0 20.0 18.0 17.0 16.0 14.0 14.0 14.0 13.0 13.0 12.0 8.0\n",
      " 6.0 6.0 4.0 4.0 3.0 3.0 2.0 1.0 2.0 3.0 3.0 3.0 3.0 3.0 3.0 3.0 4.0 4.0\n",
      " 4.0 4.0 4.0 4.0 6.0 6.0 8.0 8.0 11.0 13.0 13.0 14.0 15.0 15.0 15.0 16.0\n",
      " 17.0 17.0 17.0 19.0 21.0 22.0 22.0 16.0 14.0 16.0 13.0 10.0 9.0 7.0]\n",
      "[-- 24.0 22.0 15.0 23.0 32.0 29.0 25.0 20.0 1.0 3.0 15.0 13.0 10.0 25.0\n",
      " 24.0 16.0 13.0 20.0 21.0 34.0 39.0 36.0 35.0 33.0 35.0 35.0 51.0 70.0 74.0\n",
      " 74.0 71.0 71.0 70.0 64.0 63.0 54.0 54.0 62.0 64.0 61.0 53.0 52.0 52.0 51.0\n",
      " 41.0 37.0 31.0 43.0 44.0 35.0 38.0 39.0 40.0 42.0 43.0 42.0 39.0 34.0 41.0\n",
      " 39.0 41.0 45.0 49.0 54.0 50.0 41.0 39.0 35.0 34.0 34.0 33.0 31.0 30.0 29.0\n",
      " 26.0 23.0 20.0 18.0 17.0 17.0 16.0 16.0 16.0 14.0 12.0 11.0 10.0 10.0 9.0\n",
      " 8.0 6.0 5.0 3.0 2.0 1.0 1.0 2.0 3.0 3.0 3.0 2.0 1.0 1.0 1.0 1.0 1.0 1.0\n",
      " 1.0 1.0 2.0 2.0 2.0 3.0 4.0 4.0 4.0 4.0 4.0 6.0 7.0 7.0 7.0 7.0 7.0 7.0\n",
      " 8.0 8.0 8.0 8.0 8.0 12.0 13.0 14.0 15.0 15.0 16.0 16.0 18.0 18.0 20.0 20.0\n",
      " 20.0 20.0 18.0 13.0 6.0 5.0 4.0]\n",
      "[-- 67.0 66.0 62.0 56.0 46.0 47.0 48.0 45.0 42.0 40.0 36.0 34.0 22.0 13.0\n",
      " 21.0 22.0 33.0 34.0 44.0 42.0 35.0 36.0 39.0 42.0 43.0 46.0 48.0 53.0 55.0\n",
      " 51.0 41.0 38.0 36.0 31.0 29.0 33.0 37.0 42.0 38.0 38.0 38.0 37.0 37.0 36.0\n",
      " 36.0 36.0 35.0 35.0 36.0 37.0 34.0 32.0 31.0 29.0 28.0 28.0 27.0 26.0 26.0\n",
      " 19.0 15.0 13.0 13.0 11.0 10.0 12.0 13.0 14.0 15.0 16.0 17.0 16.0 15.0 14.0\n",
      " 13.0 13.0 12.0 11.0 11.0 11.0 10.0 10.0 10.0 9.0 4.0 3.0 3.0 3.0 3.0 3.0\n",
      " 4.0 5.0 8.0 8.0 8.0 9.0 11.0 11.0 12.0 12.0 11.0 12.0 12.0 12.0 14.0 15.0\n",
      " 11.0 14.0 13.0 12.0 12.0 12.0 15.0 15.0 18.0 17.0 17.0 18.0 21.0 23.0 20.0\n",
      " 20.0 18.0 17.0 14.0 10.0 8.0]\n",
      "[-- 27.0 29.0 29.0 19.0 16.0 11.0 17.0 13.0 21.0 26.0 25.0 34.0 33.0 30.0\n",
      " 22.0 12.0 13.0 15.0 17.0 18.0 19.0 14.0 3.0 1.0 14.0 22.0 28.0 32.0 32.0\n",
      " 47.0 50.0 60.0 74.0 79.0 79.0 78.0 77.0 75.0 72.0 59.0 46.0 43.0 36.0 29.0\n",
      " 25.0 31.0 36.0 39.0 35.0 34.0 32.0 31.0 31.0 29.0 27.0 31.0 33.0 34.0 45.0\n",
      " 53.0 41.0 35.0 36.0 39.0 40.0 39.0 38.0 38.0 38.0 38.0 40.0 40.0 40.0 39.0\n",
      " 35.0 33.0 33.0 32.0 30.0 28.0 26.0 24.0 25.0 21.0 24.0 17.0 14.0 12.0 13.0\n",
      " 14.0 14.0 15.0 15.0 16.0 16.0 15.0 14.0 14.0 13.0 13.0 13.0 10.0 9.0 4.0\n",
      " 3.0 3.0 6.0 6.0 6.0 13.0 12.0 11.0 10.0 10.0 9.0 7.0 7.0 7.0 6.0 0.0 2.0\n",
      " 6.0 7.0 11.0 14.0 17.0 18.0 19.0 20.0 20.0 21.0 25.0 25.0 27.0 27.0 26.0\n",
      " 23.0 23.0 22.0 22.0 21.0 20.0 19.0 12.0 5.0 4.0]\n",
      "[-- -- -- -- -- -- -- -- -- 12.0 11.0 11.0 33.0 35.0 35.0 45.0 73.0 75.0\n",
      " 78.0 83.0 83.0 83.0 80.0 78.0 77.0 58.0 55.0 48.0 46.0 38.0 35.0 38.0 38.0\n",
      " 27.0 23.0 23.0 23.0 28.0 30.0 29.0 28.0 24.0 37.0 39.0 40.0 42.0 44.0 44.0\n",
      " 40.0 39.0 44.0 50.0 49.0 42.0 43.0 44.0 46.0 46.0 47.0 45.0 40.0 38.0 37.0\n",
      " 35.0 35.0 29.0 30.0 25.0 21.0 15.0 14.0 11.0 10.0 12.0 11.0 6.0 6.0 8.0\n",
      " 9.0 9.0 10.0 10.0 12.0 14.0 14.0 14.0 16.0 14.0 16.0 22.0 23.0 23.0 17.0\n",
      " 16.0 11.0 12.0 11.0 10.0 6.0 6.0 13.0 14.0 14.0 16.0 16.0 15.0 15.0 15.0\n",
      " 17.0 18.0 22.0 19.0 23.0 23.0 23.0 23.0 24.0 26.0 27.0 21.0 15.0 11.0 5.0]\n",
      "[-- 20.0 11.0 3.0 9.0 12.0 12.0 15.0 15.0 17.0 18.0 15.0 6.0 0.0 17.0 32.0\n",
      " 33.0 38.0 45.0 75.0 76.0 84.0 84.0 83.0 82.0 78.0 75.0 64.0 52.0 48.0 33.0\n",
      " 34.0 35.0 21.0 19.0 16.0 18.0 21.0 22.0 27.0 35.0 40.0 43.0 48.0 48.0 48.0\n",
      " 47.0 47.0 47.0 47.0 47.0 50.0 43.0 38.0 32.0 28.0 27.0 26.0 25.0 24.0 24.0\n",
      " 23.0 15.0 14.0 12.0 10.0 10.0 11.0 13.0 12.0 13.0 12.0 12.0 10.0 9.0 13.0\n",
      " 13.0 11.0 4.0 4.0 6.0 6.0 5.0 7.0 7.0 9.0 11.0 12.0 13.0 13.0 10.0 11.0\n",
      " 11.0 11.0 13.0 13.0 15.0 16.0 19.0 20.0 21.0 28.0 28.0 27.0 25.0 28.0 30.0\n",
      " 31.0 32.0 30.0 29.0 25.0 22.0 15.0 8.0 3.0]\n",
      "[-- 25.0 30.0 31.0 20.0 14.0 10.0 11.0 15.0 11.0 15.0 4.0 1.0 11.0 16.0\n",
      " 20.0 16.0 14.0 1.0 4.0 23.0 19.0 19.0 13.0 20.0 33.0 51.0 69.0 76.0 77.0\n",
      " 78.0 78.0 73.0 70.0 66.0 61.0 58.0 54.0 53.0 50.0 50.0 43.0 37.0 33.0 27.0\n",
      " 27.0 14.0 12.0 14.0 13.0 12.0 22.0 26.0 31.0 47.0 52.0 52.0 51.0 49.0 49.0\n",
      " 48.0 48.0 48.0 46.0 45.0 44.0 41.0 32.0 32.0 31.0 30.0 25.0 16.0 16.0 12.0\n",
      " 12.0 17.0 14.0 9.0 8.0 7.0 8.0 12.0 15.0 20.0 12.0 11.0 11.0 9.0 9.0 9.0\n",
      " 6.0 10.0 10.0 9.0 9.0 9.0 8.0 7.0 7.0 7.0 6.0 8.0 9.0 11.0 12.0 12.0 12.0\n",
      " 12.0 17.0 5.0 9.0 13.0 16.0 16.0 20.0 21.0 22.0 22.0 24.0 32.0 33.0 33.0\n",
      " 33.0 34.0 34.0 34.0 33.0 31.0 30.0 29.0 29.0 28.0 26.0 22.0 20.0 19.0 13.0\n",
      " 7.0]\n",
      "[37.0 -- 31.0 27.0 13.0 14.0 12.0 15.0 18.0 13.0 10.0 11.0 20.0 22.0 18.0\n",
      " 9.0 1.0 11.0 16.0 15.0 10.0 12.0 11.0 23.0 58.0 65.0 69.0 75.0 75.0 82.0\n",
      " 82.0 82.0 82.0 80.0 79.0 60.0 53.0 51.0 49.0 45.0 36.0 37.0 38.0 37.0 32.0\n",
      " 28.0 28.0 28.0 28.0 25.0 12.0 29.0 36.0 38.0 40.0 41.0 47.0 48.0 47.0 45.0\n",
      " 43.0 43.0 44.0 44.0 43.0 43.0 43.0 35.0 33.0 27.0 22.0 17.0 17.0 18.0 14.0\n",
      " 11.0 13.0 13.0 10.0 11.0 12.0 12.0 12.0 12.0 12.0 22.0 22.0 22.0 16.0 16.0\n",
      " 12.0 4.0 4.0 5.0 6.0 2.0 1.0 6.0 11.0 24.0 23.0 18.0 18.0 20.0 20.0 20.0\n",
      " 22.0 23.0 23.0 22.0 22.0 23.0 23.0 24.0 24.0 25.0 26.0 28.0 29.0 31.0 30.0\n",
      " 30.0 27.0 24.0 22.0 19.0 11.0 9.0 6.0]\n",
      "[-- 35.0 31.0 29.0 26.0 13.0 13.0 27.0 37.0 37.0 23.0 25.0 31.0 21.0 21.0\n",
      " 20.0 11.0 6.0 13.0 18.0 19.0 24.0 25.0 17.0 16.0 15.0 15.0 2.0 12.0 16.0\n",
      " 11.0 11.0 17.0 23.0 34.0 63.0 65.0 67.0 71.0 72.0 78.0 76.0 78.0 71.0 70.0\n",
      " 70.0 50.0 50.0 48.0 44.0 41.0 35.0 34.0 41.0 42.0 35.0 30.0 27.0 28.0 29.0\n",
      " 25.0 23.0 14.0 12.0 11.0 30.0 39.0 53.0 56.0 62.0 62.0 61.0 56.0 45.0 45.0\n",
      " 46.0 45.0 44.0 44.0 43.0 42.0 42.0 42.0 42.0 42.0 43.0 45.0 45.0 44.0 41.0\n",
      " 35.0 30.0 26.0 23.0 21.0 21.0 15.0 13.0 13.0 11.0 13.0 13.0 13.0 13.0 13.0\n",
      " 14.0 14.0 14.0 16.0 17.0 16.0 16.0 18.0 19.0 15.0 14.0 9.0 4.0 1.0 9.0 6.0\n",
      " 6.0 6.0 6.0 6.0 5.0 9.0 14.0 21.0 25.0 26.0 30.0 32.0 34.0 34.0 35.0 35.0\n",
      " 34.0 32.0 32.0 31.0 29.0 29.0 27.0 29.0 30.0 30.0 32.0 30.0 29.0 25.0 25.0\n",
      " 26.0 27.0 17.0 12.0 9.0 6.0]\n",
      "[-- -- 22.0 24.0 33.0 38.0 38.0 34.0 31.0 22.0 20.0 19.0 20.0 27.0 30.0\n",
      " 38.0 77.0 77.0 75.0 76.0 80.0 80.0 79.0 78.0 72.0 69.0 68.0 56.0 47.0 40.0\n",
      " 40.0 37.0 32.0 32.0 31.0 30.0 30.0 28.0 30.0 29.0 23.0 18.0 18.0 15.0 35.0\n",
      " 49.0 50.0 51.0 52.0 54.0 73.0 73.0 73.0 70.0 68.0 65.0 59.0 58.0 56.0 54.0\n",
      " 47.0 39.0 38.0 40.0 41.0 37.0 29.0 29.0 27.0 27.0 25.0 25.0 23.0 22.0 19.0\n",
      " 18.0 18.0 17.0 17.0 16.0 16.0 16.0 20.0 6.0 6.0 5.0 5.0 6.0 7.0 9.0 9.0\n",
      " 6.0 13.0 22.0 24.0 23.0 23.0 22.0 26.0 26.0 27.0 33.0 33.0 34.0 34.0 33.0\n",
      " 33.0 35.0 35.0 35.0 33.0 31.0 30.0 25.0 25.0 20.0 9.0 7.0]\n",
      "[-- 76.0 67.0 64.0 62.0 60.0 56.0 35.0 37.0 37.0 35.0 34.0 33.0 31.0 16.0\n",
      " 15.0 16.0 21.0 29.0 26.0 18.0 17.0 15.0 2.0 36.0 45.0 55.0 55.0 56.0 57.0\n",
      " 58.0 83.0 83.0 74.0 65.0 61.0 55.0 54.0 50.0 46.0 38.0 29.0 29.0 29.0 29.0\n",
      " 29.0 30.0 31.0 31.0 34.0 36.0 36.0 34.0 34.0 35.0 37.0 37.0 37.0 35.0 34.0\n",
      " 33.0 31.0 24.0 15.0 14.0 14.0 12.0 13.0 7.0 7.0 9.0 10.0 13.0 13.0 13.0\n",
      " 14.0 14.0 13.0 16.0 19.0 28.0 30.0 28.0 27.0 27.0 26.0 26.0 25.0 22.0 26.0\n",
      " 27.0 28.0 28.0 28.0 27.0 27.0 27.0 31.0 28.0 26.0 26.0 30.0 30.0 29.0 29.0\n",
      " 20.0 12.0 7.0 6.0 4.0]\n",
      "[-- 14.0 14.0 14.0 8.0 7.0 4.0 11.0 16.0 23.0 29.0 33.0 23.0 22.0 16.0 14.0\n",
      " 15.0 15.0 19.0 23.0 22.0 38.0 40.0 48.0 48.0 74.0 80.0 80.0 77.0 77.0 78.0\n",
      " 77.0 68.0 66.0 64.0 30.0 30.0 31.0 37.0 34.0 33.0 30.0 24.0 24.0 24.0 24.0\n",
      " 28.0 32.0 34.0 35.0 31.0 26.0 22.0 33.0 43.0 46.0 50.0 55.0 60.0 74.0 86.0\n",
      " 86.0 84.0 79.0 75.0 69.0 59.0 53.0 50.0 50.0 50.0 49.0 48.0 46.0 46.0 45.0\n",
      " 43.0 42.0 40.0 35.0 31.0 29.0 27.0 26.0 23.0 23.0 24.0 25.0 25.0 26.0 33.0\n",
      " 31.0 30.0 28.0 27.0 27.0 19.0 10.0 10.0 13.0 7.0 12.0 12.0 12.0 12.0 20.0\n",
      " 17.0 13.0 15.0 16.0 17.0 26.0 27.0 28.0 30.0 31.0 33.0 34.0 37.0 33.0 33.0\n",
      " 33.0 29.0 28.0 29.0 30.0 29.0 29.0 29.0 29.0 12.0 11.0 4.0 3.0]\n",
      "[-- 36.0 36.0 32.0 32.0 29.0 24.0 24.0 22.0 13.0 5.0 2.0 14.0 14.0 11.0\n",
      " 16.0 10.0 10.0 6.0 4.0 3.0 1.0 17.0 28.0 26.0 10.0 17.0 22.0 21.0 13.0\n",
      " 11.0 11.0 11.0 12.0 18.0 26.0 29.0 37.0 71.0 80.0 82.0 82.0 83.0 83.0 78.0\n",
      " 73.0 67.0 62.0 60.0 38.0 37.0 27.0 25.0 22.0 23.0 29.0 34.0 43.0 33.0 30.0\n",
      " 23.0 30.0 37.0 39.0 47.0 50.0 53.0 72.0 84.0 87.0 87.0 87.0 80.0 72.0 66.0\n",
      " 65.0 58.0 57.0 56.0 53.0 51.0 51.0 49.0 47.0 46.0 46.0 48.0 44.0 40.0 40.0\n",
      " 36.0 30.0 29.0 30.0 31.0 29.0 26.0 24.0 14.0 15.0 7.0 12.0 12.0 17.0 20.0\n",
      " 21.0 21.0 21.0 21.0 25.0 25.0 25.0 29.0 32.0 33.0 32.0 29.0 26.0 21.0 19.0\n",
      " 28.0 30.0 31.0 28.0 29.0 29.0 30.0 30.0 27.0 23.0 20.0 20.0 18.0 10.0 9.0\n",
      " 6.0]\n",
      "[-- 32.0 15.0 8.0 8.0 13.0 13.0 16.0 16.0 14.0 14.0 17.0 17.0 20.0 24.0\n",
      " 26.0 21.0 13.0 12.0 12.0 2.0 4.0 28.0 17.0 18.0 22.0 24.0 25.0 10.0 7.0\n",
      " 16.0 17.0 19.0 22.0 21.0 22.0 40.0 64.0 75.0 84.0 85.0 85.0 82.0 80.0 73.0\n",
      " 68.0 63.0 64.0 65.0 66.0 66.0 59.0 53.0 46.0 46.0 34.0 31.0 24.0 22.0 11.0\n",
      " 2.0 6.0 22.0 36.0 28.0 29.0 44.0 48.0 50.0 58.0 61.0 69.0 81.0 89.0 89.0\n",
      " 75.0 72.0 68.0 61.0 61.0 55.0 53.0 52.0 51.0 50.0 49.0 49.0 49.0 48.0 47.0\n",
      " 47.0 47.0 46.0 46.0 47.0 42.0 39.0 38.0 37.0 37.0 35.0 30.0 28.0 28.0 27.0\n",
      " 26.0 24.0 21.0 20.0 20.0 19.0 18.0 17.0 16.0 13.0 2.0 5.0 12.0 12.0 13.0\n",
      " 14.0 12.0 19.0 21.0 23.0 25.0 24.0 23.0 22.0 21.0 20.0 21.0 22.0 22.0 23.0\n",
      " 24.0 25.0 28.0 30.0 28.0 27.0 26.0 25.0 25.0 23.0 21.0 21.0 22.0 20.0 18.0\n",
      " 13.0 8.0 7.0]\n",
      "[-- 11.0 20.0 22.0 20.0 19.0 19.0 18.0 5.0 3.0 9.0 18.0 12.0 6.0 12.0 24.0\n",
      " 25.0 10.0 5.0 13.0 20.0 16.0 16.0 14.0 19.0 24.0 39.0 66.0 72.0 79.0 79.0\n",
      " 79.0 77.0 77.0 75.0 75.0 73.0 70.0 66.0 64.0 62.0 60.0 59.0 56.0 51.0 40.0\n",
      " 18.0 15.0 11.0 12.0 13.0 14.0 15.0 21.0 27.0 8.0 15.0 15.0 45.0 45.0 45.0\n",
      " 45.0 45.0 45.0 62.0 83.0 86.0 86.0 83.0 68.0 55.0 54.0 54.0 54.0 56.0 56.0\n",
      " 57.0 57.0 57.0 55.0 55.0 50.0 44.0 44.0 43.0 43.0 33.0 26.0 25.0 16.0 12.0\n",
      " 11.0 11.0 10.0 9.0 6.0 6.0 17.0 17.0 16.0 16.0 16.0 18.0 21.0 18.0 19.0\n",
      " 21.0 23.0 23.0 22.0 25.0 24.0 19.0 16.0 23.0 24.0 25.0 25.0 26.0 29.0 30.0\n",
      " 30.0 29.0 29.0 30.0 30.0 27.0 24.0 23.0 22.0 19.0 19.0 21.0 21.0 21.0 18.0\n",
      " 16.0 14.0 5.0 5.0 4.0]\n",
      "[-- 33.0 26.0 25.0 19.0 7.0 7.0 13.0 15.0 16.0 16.0 21.0 22.0 2.0 11.0 17.0\n",
      " 11.0 12.0 12.0 22.0 27.0 30.0 23.0 25.0 27.0 26.0 19.0 13.0 9.0 4.0 13.0\n",
      " 22.0 50.0 73.0 76.0 79.0 80.0 81.0 81.0 79.0 77.0 72.0 67.0 62.0 60.0 59.0\n",
      " 56.0 55.0 46.0 40.0 29.0 26.0 28.0 28.0 26.0 22.0 12.0 8.0 14.0 23.0 41.0\n",
      " 40.0 75.0 83.0 85.0 85.0 77.0 68.0 63.0 62.0 59.0 59.0 56.0 55.0 54.0 54.0\n",
      " 53.0 52.0 51.0 50.0 49.0 49.0 49.0 48.0 48.0 47.0 44.0 42.0 40.0 39.0 38.0\n",
      " 36.0 35.0 33.0 33.0 27.0 27.0 28.0 28.0 28.0 24.0 22.0 20.0 18.0 16.0 16.0\n",
      " 15.0 14.0 14.0 6.0 7.0 10.0 12.0 13.0 12.0 12.0 11.0 14.0 16.0 16.0 18.0\n",
      " 19.0 20.0 21.0 23.0 24.0 25.0 29.0 30.0 25.0 25.0 26.0 27.0 27.0 27.0 27.0\n",
      " 27.0 28.0 28.0 26.0 26.0 24.0 24.0 23.0 19.0 16.0 14.0 14.0 13.0 13.0 13.0\n",
      " 14.0 14.0 16.0 11.0 11.0]\n",
      "[-- 24.0 20.0 12.0 14.0 13.0 15.0 14.0 26.0 25.0 23.0 22.0 18.0 14.0 2.0\n",
      " 4.0 9.0 10.0 13.0 13.0 20.0 17.0 7.0 22.0 22.0 19.0 11.0 11.0 20.0 32.0\n",
      " 26.0 23.0 20.0 15.0 14.0 3.0 12.0 18.0 59.0 62.0 68.0 72.0 72.0 72.0 70.0\n",
      " 67.0 64.0 60.0 59.0 57.0 48.0 48.0 49.0 49.0 38.0 38.0 40.0 37.0 27.0 22.0\n",
      " 27.0 34.0 38.0 43.0 45.0 46.0 52.0 57.0 61.0 86.0 91.0 91.0 82.0 64.0 63.0\n",
      " 60.0 59.0 57.0 56.0 56.0 55.0 54.0 54.0 54.0 53.0 51.0 47.0 47.0 46.0 44.0\n",
      " 40.0 34.0 31.0 31.0 32.0 31.0 30.0 26.0 26.0 21.0 20.0 18.0 17.0 11.0 8.0\n",
      " 6.0 5.0 4.0 6.0 8.0 12.0 12.0 12.0 12.0 12.0 12.0 12.0 11.0 13.0 16.0 16.0\n",
      " 17.0 17.0 18.0 18.0 20.0 20.0 22.0 24.0 24.0 24.0 25.0 25.0 25.0 25.0 24.0\n",
      " 24.0 24.0 25.0 26.0 29.0 28.0 25.0 25.0 24.0 24.0 25.0 25.0 26.0 16.0 14.0\n",
      " 14.0 13.0 13.0 10.0 9.0 9.0]\n",
      "[-- -- 15.0 11.0 6.0 6.0 11.0 15.0 17.0 23.0 27.0 23.0 19.0 12.0 2.0 2.0\n",
      " 4.0 5.0 12.0 11.0 10.0 12.0 14.0 20.0 23.0 29.0 27.0 21.0 19.0 46.0 37.0\n",
      " 28.0 22.0 21.0 22.0 31.0 61.0 62.0 64.0 70.0 75.0 75.0 72.0 70.0 67.0 70.0\n",
      " 68.0 62.0 61.0 56.0 53.0 50.0 48.0 48.0 38.0 38.0 39.0 39.0 40.0 41.0 44.0\n",
      " 43.0 29.0 28.0 22.0 27.0 32.0 41.0 55.0 68.0 89.0 89.0 75.0 75.0 68.0 51.0\n",
      " 49.0 49.0 50.0 50.0 49.0 47.0 46.0 46.0 41.0 37.0 37.0 33.0 28.0 26.0 24.0\n",
      " 23.0 19.0 14.0 5.0 3.0 5.0 5.0 6.0 6.0 6.0 6.0 10.0 11.0 11.0 12.0 12.0\n",
      " 12.0 11.0 11.0 11.0 12.0 13.0 19.0 20.0 19.0 21.0 23.0 24.0 24.0 25.0 25.0\n",
      " 25.0 27.0 29.0 30.0 29.0 28.0 28.0 25.0 25.0 25.0 24.0 24.0 24.0 23.0 23.0\n",
      " 22.0 22.0 21.0 21.0 21.0 21.0 21.0 20.0 18.0 18.0 17.0 14.0 11.0 6.0 6.0]\n",
      "[-- 52.0 36.0 31.0 28.0 28.0 29.0 30.0 30.0 23.0 22.0 18.0 18.0 18.0 21.0\n",
      " 20.0 19.0 19.0 16.0 11.0 11.0 10.0 10.0 13.0 16.0 17.0 14.0 13.0 16.0 17.0\n",
      " 17.0 13.0 12.0 1.0 10.0 19.0 38.0 40.0 38.0 30.0 28.0 47.0 51.0 51.0 43.0\n",
      " 40.0 30.0 33.0 35.0 60.0 61.0 63.0 65.0 65.0 72.0 72.0 64.0 59.0 59.0 58.0\n",
      " 57.0 52.0 47.0 41.0 40.0 25.0 30.0 31.0 18.0 18.0 21.0 30.0 33.0 40.0 41.0\n",
      " 47.0 59.0 76.0 82.0 82.0 79.0 78.0 76.0 71.0 71.0 70.0 70.0 69.0 60.0 52.0\n",
      " 49.0 48.0 46.0 43.0 43.0 44.0 44.0 45.0 46.0 46.0 43.0 38.0 36.0 30.0 28.0\n",
      " 28.0 26.0 27.0 28.0 26.0 24.0 21.0 16.0 13.0 11.0 9.0 1.0 1.0 4.0 4.0 9.0\n",
      " 9.0 9.0 9.0 10.0 10.0 11.0 11.0 12.0 16.0 18.0 19.0 20.0 20.0 22.0 23.0\n",
      " 23.0 24.0 24.0 25.0 25.0 25.0 26.0 26.0 26.0 28.0 33.0 35.0 33.0 29.0 29.0\n",
      " 28.0 27.0 26.0 26.0 26.0 26.0 25.0 24.0 24.0 22.0 22.0 21.0 19.0 17.0 15.0\n",
      " 9.0 6.0]\n",
      "[-- 18.0 17.0 18.0 20.0 22.0 22.0 14.0 1.0 3.0 3.0 14.0 18.0 19.0 20.0 24.0\n",
      " 15.0 11.0 11.0 12.0 12.0 12.0 25.0 29.0 33.0 27.0 21.0 50.0 52.0 58.0 61.0\n",
      " 61.0 61.0 34.0 30.0 43.0 62.0 65.0 66.0 67.0 70.0 70.0 69.0 66.0 64.0 60.0\n",
      " 59.0 57.0 53.0 50.0 47.0 46.0 55.0 53.0 47.0 45.0 38.0 37.0 35.0 28.0 21.0\n",
      " 18.0 31.0 46.0 51.0 56.0 61.0 71.0 76.0 85.0 81.0 85.0 83.0 82.0 82.0 82.0\n",
      " 67.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 66.0 58.0 51.0 48.0 45.0\n",
      " 45.0 44.0 43.0 42.0 41.0 40.0 38.0 35.0 23.0 21.0 19.0 16.0 16.0 15.0 12.0\n",
      " 10.0 10.0 10.0 4.0 3.0 3.0 2.0 2.0 4.0 5.0 6.0 7.0 7.0 8.0 9.0 11.0 12.0\n",
      " 16.0 18.0 19.0 19.0 21.0 22.0 23.0 24.0 27.0 27.0 33.0 35.0 35.0 31.0 30.0\n",
      " 27.0 25.0 25.0 24.0 23.0 24.0 24.0 24.0 22.0 22.0 21.0 21.0 19.0 16.0 16.0\n",
      " 9.0 9.0 10.0 10.0 10.0]\n",
      "[-- 30.0 25.0 16.0 11.0 3.0 13.0 14.0 19.0 22.0 21.0 15.0 12.0 12.0 10.0\n",
      " 7.0 22.0 20.0 17.0 16.0 15.0 24.0 22.0 14.0 12.0 19.0 19.0 17.0 2.0 7.0\n",
      " 17.0 16.0 36.0 68.0 68.0 68.0 65.0 46.0 43.0 66.0 66.0 70.0 70.0 70.0 66.0\n",
      " 65.0 57.0 57.0 58.0 58.0 60.0 63.0 64.0 65.0 61.0 55.0 58.0 61.0 61.0 53.0\n",
      " 42.0 40.0 40.0 37.0 37.0 38.0 32.0 26.0 28.0 31.0 44.0 46.0 54.0 58.0 62.0\n",
      " 66.0 70.0 68.0 70.0 69.0 66.0 65.0 63.0 63.0 65.0 66.0 65.0 64.0 62.0 62.0\n",
      " 60.0 56.0 53.0 52.0 51.0 48.0 48.0 47.0 47.0 47.0 46.0 48.0 48.0 40.0 32.0\n",
      " 30.0 24.0 20.0 20.0 19.0 16.0 15.0 12.0 11.0 10.0 8.0 7.0 6.0 6.0 5.0 2.0\n",
      " 1.0 0.0 0.0 2.0 2.0 3.0 4.0 5.0 5.0 9.0 13.0 13.0 15.0 16.0 17.0 24.0 24.0\n",
      " 26.0 27.0 29.0 29.0 29.0 29.0 29.0 28.0 26.0 26.0 24.0 24.0 25.0 25.0 22.0\n",
      " 21.0 21.0 18.0 18.0 17.0 15.0 15.0 14.0 10.0 9.0 7.0 7.0]\n",
      "[-- 20.0 11.0 14.0 20.0 24.0 23.0 23.0 19.0 10.0 4.0 11.0 14.0 20.0 24.0\n",
      " 17.0 8.0 17.0 24.0 24.0 26.0 26.0 24.0 18.0 14.0 13.0 25.0 32.0 39.0 58.0\n",
      " 63.0 63.0 58.0 57.0 37.0 58.0 61.0 61.0 65.0 65.0 65.0 64.0 63.0 63.0 72.0\n",
      " 72.0 65.0 55.0 52.0 56.0 56.0 50.0 41.0 32.0 30.0 30.0 36.0 37.0 25.0 21.0\n",
      " 20.0 28.0 45.0 68.0 75.0 76.0 76.0 74.0 72.0 67.0 63.0 60.0 60.0 54.0 53.0\n",
      " 53.0 52.0 40.0 36.0 34.0 35.0 36.0 37.0 37.0 37.0 38.0 39.0 39.0 39.0 39.0\n",
      " 38.0 38.0 38.0 38.0 39.0 38.0 36.0 33.0 32.0 30.0 27.0 22.0 22.0 21.0 17.0\n",
      " 17.0 16.0 14.0 12.0 12.0 8.0 5.0 4.0 2.0 1.0 1.0 2.0 3.0 3.0 4.0 4.0 4.0\n",
      " 6.0 10.0 11.0 11.0 13.0 14.0 19.0 21.0 24.0 25.0 25.0 27.0 26.0 23.0 24.0\n",
      " 23.0 23.0 23.0 20.0 20.0 19.0 19.0 18.0 18.0 18.0 19.0 20.0 20.0 18.0 18.0\n",
      " 17.0 17.0 17.0 16.0 10.0 8.0]\n",
      "[13.0 -- 15.0 25.0 26.0 23.0 18.0 19.0 21.0 19.0 13.0 11.0 13.0 14.0 17.0\n",
      " 21.0 24.0 24.0 26.0 28.0 26.0 26.0 17.0 14.0 15.0 13.0 10.0 20.0 22.0 15.0\n",
      " 14.0 12.0 6.0 19.0 48.0 51.0 56.0 56.0 51.0 49.0 54.0 59.0 64.0 68.0 68.0\n",
      " 69.0 72.0 72.0 72.0 58.0 51.0 49.0 51.0 51.0 50.0 52.0 56.0 59.0 55.0 47.0\n",
      " 45.0 44.0 37.0 36.0 33.0 26.0 28.0 31.0 32.0 18.0 9.0 2.0 37.0 39.0 40.0\n",
      " 40.0 56.0 59.0 64.0 72.0 72.0 73.0 74.0 74.0 73.0 71.0 69.0 65.0 59.0 56.0\n",
      " 55.0 51.0 40.0 38.0 35.0 35.0 32.0 33.0 34.0 30.0 28.0 27.0 25.0 17.0 14.0\n",
      " 14.0 8.0 4.0 2.0 2.0 3.0 4.0 4.0 5.0 6.0 7.0 8.0 9.0 11.0 14.0 17.0 19.0\n",
      " 23.0 25.0 25.0 25.0 25.0 26.0 24.0 24.0 22.0 20.0 19.0 18.0 18.0 19.0 19.0\n",
      " 19.0 17.0 14.0 15.0 15.0 13.0 13.0 13.0 8.0 7.0]\n",
      "[-- 11.0 6.0 0.0 4.0 14.0 16.0 18.0 17.0 14.0 15.0 15.0 15.0 15.0 15.0 15.0\n",
      " 15.0 17.0 17.0 17.0 17.0 19.0 27.0 18.0 15.0 10.0 15.0 18.0 22.0 39.0 65.0\n",
      " 65.0 63.0 61.0 60.0 59.0 59.0 60.0 61.0 71.0 71.0 69.0 59.0 54.0 49.0 47.0\n",
      " 45.0 45.0 50.0 57.0 58.0 58.0 58.0 59.0 59.0 59.0 49.0 39.0 34.0 41.0 46.0\n",
      " 23.0 16.0 11.0 4.0 4.0 6.0 17.0 21.0 25.0 41.0 52.0 62.0 67.0 70.0 74.0\n",
      " 74.0 74.0 69.0 68.0 64.0 57.0 57.0 56.0 55.0 54.0 54.0 52.0 52.0 51.0 46.0\n",
      " 40.0 34.0 25.0 24.0 22.0 21.0 18.0 16.0 15.0 6.0 2.0 3.0 5.0 6.0 7.0 7.0\n",
      " 9.0 11.0 14.0 19.0 21.0 22.0 23.0 24.0 21.0 19.0 18.0 19.0 19.0 19.0 20.0\n",
      " 20.0 19.0 19.0 18.0 18.0 18.0 18.0 18.0 18.0 18.0 14.0 14.0 13.0 14.0 14.0\n",
      " 12.0 12.0 7.0 7.0]\n",
      "[12.0 14.0 16.0 18.0 22.0 27.0 45.0 48.0 69.0 69.0 71.0 73.0 75.0 76.0 76.0\n",
      " 71.0 62.0 58.0 54.0 48.0 47.0 48.0 49.0 50.0 51.0 51.0 47.0 45.0 36.0 35.0\n",
      " 31.0 23.0 18.0 14.0 13.0 13.0 9.0 11.0 12.0 12.0 15.0 12.0 12.0 13.0 8.0\n",
      " 4.0 2.0 2.0 2.0 2.0 5.0 6.0 6.0 7.0 9.0 12.0 13.0 16.0 21.0 21.0 20.0 20.0\n",
      " 21.0 21.0 22.0 23.0 21.0 21.0 20.0 20.0 19.0 19.0 17.0 17.0 17.0 15.0 13.0\n",
      " 11.0 11.0 11.0 8.0 7.0 7.0 8.0]\n",
      "[-- 40.0 38.0 30.0 25.0 18.0 11.0 10.0 13.0 17.0 16.0 11.0 3.0 11.0 22.0\n",
      " 22.0 23.0 25.0 18.0 16.0 10.0 4.0 10.0 10.0 11.0 11.0 6.0 4.0 28.0 22.0\n",
      " 21.0 13.0 5.0 23.0 33.0 49.0 58.0 63.0 67.0 67.0 67.0 66.0 65.0 64.0 64.0\n",
      " 59.0 58.0 55.0 54.0 54.0 52.0 52.0 52.0 46.0 50.0 56.0 50.0 44.0 45.0 48.0\n",
      " 49.0 50.0 50.0 48.0 57.0 47.0 29.0 21.0 11.0 3.0 9.0 17.0 25.0 29.0 42.0\n",
      " 47.0 62.0 68.0 75.0 75.0 67.0 66.0 63.0 62.0 58.0 52.0 46.0 45.0 44.0 48.0\n",
      " 50.0 52.0 51.0 47.0 33.0 30.0 28.0 28.0 27.0 26.0 26.0 22.0 12.0 11.0 11.0\n",
      " 10.0 10.0 10.0 10.0 10.0 11.0 11.0 11.0 11.0 10.0 11.0 14.0 14.0 15.0 15.0\n",
      " 20.0 5.0 2.0 2.0 4.0 5.0 7.0 8.0 13.0 16.0 20.0 20.0 24.0 23.0 22.0 22.0\n",
      " 21.0 20.0 18.0 18.0 18.0 17.0 16.0 17.0 18.0 19.0 17.0 16.0 15.0 13.0 12.0\n",
      " 11.0 9.0 8.0 8.0 6.0 5.0 7.0 8.0]\n",
      "[-- 25.0 20.0 12.0 15.0 14.0 15.0 14.0 20.0 22.0 22.0 3.0 1.0 11.0 14.0\n",
      " 17.0 21.0 19.0 17.0 16.0 12.0 15.0 15.0 14.0 4.0 0.0 12.0 15.0 27.0 22.0\n",
      " 14.0 10.0 19.0 30.0 33.0 61.0 66.0 69.0 74.0 74.0 72.0 70.0 68.0 63.0 53.0\n",
      " 48.0 46.0 36.0 40.0 40.0 41.0 41.0 38.0 38.0 41.0 42.0 48.0 49.0 51.0 52.0\n",
      " 51.0 37.0 47.0 52.0 53.0 33.0 28.0 19.0 16.0 22.0 23.0 23.0 24.0 47.0 53.0\n",
      " 61.0 72.0 72.0 72.0 71.0 57.0 47.0 48.0 49.0 53.0 54.0 54.0 55.0 56.0 42.0\n",
      " 39.0 35.0 34.0 29.0 28.0 20.0 14.0 11.0 7.0 8.0 10.0 11.0 11.0 11.0 10.0\n",
      " 9.0 9.0 8.0 9.0 10.0 11.0 11.0 8.0 5.0 4.0 4.0 2.0 3.0 5.0 6.0 13.0 15.0\n",
      " 20.0 23.0 25.0 25.0 22.0 20.0 18.0 17.0 17.0 18.0 22.0 22.0 22.0 22.0 22.0\n",
      " 22.0 23.0 23.0 18.0 17.0 17.0 15.0 12.0 12.0 12.0 15.0 15.0 11.0 10.0 9.0\n",
      " 7.0]\n",
      "[-- 23.0 24.0 25.0 25.0 23.0 22.0 21.0 7.0 5.0 7.0 10.0 11.0 11.0 11.0 11.0\n",
      " 19.0 18.0 17.0 15.0 15.0 14.0 14.0 10.0 10.0 13.0 19.0 29.0 24.0 24.0 12.0\n",
      " 7.0 6.0 6.0 11.0 27.0 67.0 66.0 58.0 61.0 70.0 71.0 71.0 74.0 74.0 71.0\n",
      " 69.0 58.0 52.0 46.0 45.0 31.0 30.0 31.0 32.0 35.0 36.0 43.0 51.0 53.0 54.0\n",
      " 47.0 38.0 54.0 60.0 59.0 57.0 54.0 38.0 36.0 16.0 8.0 9.0 13.0 30.0 37.0\n",
      " 66.0 67.0 69.0 73.0 75.0 75.0 70.0 59.0 51.0 51.0 50.0 49.0 48.0 46.0 46.0\n",
      " 46.0 47.0 47.0 47.0 48.0 48.0 34.0 21.0 14.0 11.0 9.0 10.0 10.0 11.0 11.0\n",
      " 10.0 9.0 7.0 6.0 10.0 10.0 11.0 11.0 10.0 10.0 9.0 9.0 9.0 6.0 4.0 4.0\n",
      " 10.0 17.0 17.0 18.0 20.0 20.0 21.0 17.0 18.0 18.0 24.0 22.0 21.0 20.0 17.0\n",
      " 16.0 16.0 10.0 10.0 10.0 12.0 13.0 10.0 9.0 4.0 5.0 5.0 7.0]\n",
      "[-- 20.0 19.0 28.0 31.0 32.0 19.0 18.0 13.0 12.0 11.0 5.0 4.0 4.0 13.0 13.0\n",
      " 14.0 16.0 15.0 14.0 14.0 16.0 18.0 21.0 25.0 29.0 16.0 15.0 9.0 5.0 11.0\n",
      " 13.0 12.0 18.0 27.0 40.0 46.0 58.0 60.0 66.0 70.0 70.0 72.0 74.0 80.0 80.0\n",
      " 73.0 68.0 62.0 55.0 41.0 40.0 38.0 24.0 20.0 29.0 44.0 46.0 46.0 45.0 31.0\n",
      " 30.0 37.0 43.0 46.0 54.0 54.0 42.0 33.0 27.0 11.0 13.0 20.0 20.0 28.0 48.0\n",
      " 56.0 68.0 69.0 72.0 78.0 80.0 80.0 77.0 75.0 73.0 67.0 60.0 53.0 53.0 51.0\n",
      " 50.0 49.0 48.0 44.0 44.0 44.0 43.0 39.0 31.0 29.0 27.0 25.0 24.0 23.0 22.0\n",
      " 21.0 17.0 14.0 10.0 9.0 10.0 9.0 7.0 5.0 5.0 4.0 3.0 3.0 1.0 2.0 3.0 5.0\n",
      " 6.0 5.0 2.0 2.0 6.0 7.0 10.0 12.0 14.0 15.0 17.0 17.0 24.0 25.0 25.0 24.0\n",
      " 22.0 21.0 20.0 23.0 23.0 23.0 18.0 17.0 13.0 13.0 13.0 13.0 10.0 9.0 7.0\n",
      " 7.0 7.0 8.0 9.0 9.0 9.0]\n",
      "[-- 26.0 23.0 21.0 15.0 9.0 9.0 10.0 10.0 9.0 2.0 8.0 11.0 19.0 10.0 8.0\n",
      " 16.0 33.0 30.0 32.0 33.0 33.0 34.0 23.0 14.0 12.0 8.0 14.0 14.0 39.0 44.0\n",
      " 51.0 58.0 58.0 57.0 56.0 56.0 56.0 59.0 66.0 66.0 66.0 64.0 61.0 60.0 57.0\n",
      " 52.0 51.0 30.0 26.0 33.0 37.0 37.0 27.0 22.0 25.0 27.0 31.0 41.0 42.0 36.0\n",
      " 33.0 30.0 23.0 19.0 14.0 9.0 12.0 18.0 22.0 37.0 37.0 39.0 54.0 57.0 63.0\n",
      " 58.0 61.0 65.0 66.0 66.0 58.0 56.0 56.0 54.0 53.0 53.0 52.0 52.0 51.0 51.0\n",
      " 50.0 50.0 47.0 46.0 45.0 44.0 42.0 38.0 37.0 37.0 37.0 37.0 36.0 33.0 33.0\n",
      " 29.0 25.0 23.0 21.0 17.0 8.0 8.0 7.0 4.0 4.0 4.0 4.0 4.0 4.0 11.0 10.0 9.0\n",
      " 7.0 5.0 1.0 1.0 3.0 7.0 12.0 14.0 17.0 20.0 22.0 24.0 26.0 26.0 25.0 24.0\n",
      " 24.0 25.0 25.0 21.0 20.0 17.0 17.0 15.0 15.0 13.0 12.0 11.0 12.0 12.0 11.0\n",
      " 11.0 7.0 8.0]\n",
      "[-- -- 17.0 14.0 9.0 5.0 4.0 0.0 4.0 5.0 8.0 14.0 2.0 5.0 19.0 22.0 21.0\n",
      " 21.0 15.0 21.0 26.0 28.0 34.0 48.0 49.0 44.0 26.0 21.0 16.0 12.0 14.0 14.0\n",
      " 19.0 25.0 28.0 44.0 51.0 51.0 56.0 59.0 63.0 68.0 68.0 68.0 58.0 56.0 55.0\n",
      " 49.0 49.0 46.0 42.0 39.0 33.0 29.0 28.0 28.0 28.0 22.0 37.0 38.0 47.0 41.0\n",
      " 31.0 27.0 18.0 14.0 18.0 21.0 22.0 33.0 33.0 49.0 55.0 61.0 61.0 61.0 61.0\n",
      " 60.0 60.0 59.0 59.0 58.0 57.0 57.0 55.0 53.0 51.0 49.0 49.0 47.0 43.0 43.0\n",
      " 40.0 37.0 35.0 29.0 28.0 24.0 22.0 22.0 17.0 15.0 14.0 9.0 5.0 5.0 5.0 5.0\n",
      " 5.0 5.0 5.0 5.0 5.0 5.0 6.0 6.0 6.0 6.0 6.0 4.0 2.0 3.0 5.0 5.0 6.0 8.0\n",
      " 12.0 13.0 17.0 21.0 23.0 28.0 28.0 30.0 29.0 27.0 26.0 24.0 22.0 22.0 22.0\n",
      " 20.0 20.0 19.0 18.0 17.0 15.0 14.0 14.0 14.0 15.0 15.0 15.0 13.0 12.0 4.0\n",
      " 5.0]\n",
      "[-- 26.0 28.0 23.0 21.0 9.0 7.0 18.0 18.0 11.0 0.0 12.0 17.0 16.0 14.0 11.0\n",
      " 7.0 6.0 2.0 12.0 22.0 21.0 17.0 23.0 25.0 31.0 42.0 52.0 54.0 37.0 27.0\n",
      " 26.0 17.0 17.0 17.0 21.0 42.0 51.0 54.0 56.0 58.0 58.0 63.0 63.0 65.0 66.0\n",
      " 67.0 68.0 68.0 68.0 68.0 61.0 59.0 55.0 50.0 46.0 44.0 43.0 40.0 38.0 33.0\n",
      " 26.0 22.0 21.0 21.0 33.0 43.0 48.0 48.0 39.0 35.0 31.0 25.0 19.0 20.0 31.0\n",
      " 32.0 32.0 36.0 37.0 40.0 41.0 42.0 44.0 47.0 48.0 49.0 49.0 48.0 46.0 43.0\n",
      " 43.0 42.0 41.0 40.0 38.0 35.0 26.0 22.0 21.0 19.0 18.0 17.0 17.0 17.0 16.0\n",
      " 16.0 11.0 8.0 8.0 7.0 5.0 4.0 4.0 4.0 5.0 6.0 7.0 8.0 7.0 2.0 1.0 0.0 0.0\n",
      " 8.0 19.0 19.0 20.0 20.0 21.0 20.0 20.0 20.0 18.0 19.0 21.0 21.0 21.0 21.0\n",
      " 21.0 17.0 17.0 14.0 14.0 15.0 14.0 13.0 13.0 11.0 10.0 7.0 9.0 9.0]\n",
      "[-- 30.0 29.0 29.0 24.0 22.0 12.0 12.0 12.0 14.0 13.0 13.0 13.0 14.0 14.0\n",
      " 13.0 12.0 12.0 10.0 4.0 5.0 14.0 16.0 10.0 2.0 2.0 9.0 12.0 23.0 39.0 39.0\n",
      " 44.0 35.0 34.0 31.0 14.0 1.0 0.0 0.0 9.0 30.0 37.0 46.0 58.0 65.0 65.0\n",
      " 65.0 64.0 46.0 57.0 60.0 59.0 59.0 58.0 48.0 46.0 52.0 53.0 50.0 48.0 43.0\n",
      " 42.0 40.0 38.0 37.0 39.0 42.0 40.0 35.0 26.0 27.0 28.0 31.0 37.0 44.0 47.0\n",
      " 47.0 46.0 45.0 37.0 23.0 14.0 13.0 15.0 16.0 17.0 19.0 20.0 21.0 24.0 26.0\n",
      " 26.0 29.0 29.0 31.0 31.0 51.0 53.0 55.0 58.0 57.0 49.0 46.0 39.0 34.0 33.0\n",
      " 34.0 34.0 35.0 36.0 36.0 30.0 27.0 26.0 22.0 21.0 20.0 17.0 16.0 14.0 14.0\n",
      " 13.0 12.0 12.0 10.0 7.0 4.0 4.0 8.0 8.0 8.0 8.0 8.0 8.0 8.0 8.0 8.0 7.0\n",
      " 7.0 7.0 7.0 6.0 2.0 2.0 9.0 10.0 16.0 16.0 20.0 24.0 25.0 25.0 25.0 25.0\n",
      " 28.0 29.0 33.0 26.0 23.0 22.0 20.0 19.0 20.0 22.0 22.0 22.0 21.0 20.0 19.0\n",
      " 19.0 18.0 17.0 15.0 14.0 13.0 11.0 10.0 8.0 8.0 9.0 9.0 8.0 8.0 8.0]\n",
      "[-- -- 12.0 15.0 15.0 15.0 15.0 15.0 15.0 15.0 20.0 23.0 23.0 13.0 24.0\n",
      " 46.0 48.0 49.0 52.0 50.0 46.0 30.0 17.0 19.0 34.0 52.0 57.0 61.0 63.0 64.0\n",
      " 64.0 64.0 61.0 46.0 60.0 57.0 51.0 47.0 41.0 45.0 43.0 43.0 42.0 43.0 47.0\n",
      " 46.0 31.0 32.0 32.0 27.0 24.0 23.0 24.0 25.0 43.0 43.0 33.0 17.0 10.0 12.0\n",
      " 13.0 16.0 17.0 20.0 25.0 23.0 33.0 40.0 41.0 42.0 45.0 48.0 49.0 52.0 54.0\n",
      " 55.0 52.0 52.0 51.0 50.0 48.0 44.0 42.0 41.0 40.0 38.0 38.0 35.0 29.0 24.0\n",
      " 23.0 16.0 13.0 12.0 9.0 7.0 7.0 10.0 11.0 11.0 11.0 12.0 13.0 14.0 16.0\n",
      " 16.0 15.0 13.0 6.0 8.0 8.0 7.0 7.0 5.0 5.0 5.0 5.0 3.0 6.0 13.0 13.0 21.0\n",
      " 22.0 23.0 26.0 24.0 24.0 24.0 24.0 24.0 22.0 19.0 19.0 21.0 21.0 21.0 22.0\n",
      " 23.0 23.0 24.0 24.0 24.0 22.0 21.0 20.0 18.0 17.0 16.0 15.0 15.0 14.0 13.0\n",
      " 11.0 10.0 8.0]\n",
      "[-- 11.0 9.0 7.0 3.0 9.0 15.0 13.0 12.0 8.0 6.0 4.0 1.0 7.0 12.0 15.0 17.0\n",
      " 17.0 35.0 42.0 60.0 60.0 52.0 38.0 38.0 55.0 60.0 60.0 52.0 51.0 56.0 58.0\n",
      " 60.0 65.0 65.0 62.0 58.0 57.0 54.0 54.0 46.0 42.0 40.0 30.0 33.0 38.0 40.0\n",
      " 37.0 36.0 37.0 38.0 28.0 21.0 20.0 18.0 36.0 43.0 32.0 26.0 3.0 1.0 7.0\n",
      " 14.0 39.0 45.0 45.0 46.0 46.0 48.0 49.0 49.0 49.0 50.0 50.0 49.0 44.0 42.0\n",
      " 38.0 37.0 37.0 21.0 22.0 23.0 22.0 17.0 15.0 9.0 9.0 9.0 2.0 1.0 2.0 5.0\n",
      " 6.0 5.0 5.0 7.0 8.0 8.0 10.0 11.0 13.0 15.0 16.0 20.0 28.0 30.0 29.0 29.0\n",
      " 28.0 28.0 26.0 24.0 24.0 23.0 21.0 20.0 20.0 21.0 22.0 22.0 22.0 22.0 21.0\n",
      " 21.0 15.0 11.0 3.0 5.0]\n",
      "[-- 2.0 4.0 7.0 12.0 16.0 17.0 25.0 41.0 49.0 45.0 48.0 47.0 47.0 45.0 44.0\n",
      " 71.0 66.0 68.0 72.0 73.0 74.0 74.0 64.0 62.0 59.0 58.0 44.0 42.0 33.0 32.0\n",
      " 31.0 32.0 38.0 45.0 43.0 35.0 34.0 37.0 38.0 40.0 42.0 38.0 36.0 31.0 29.0\n",
      " 28.0 27.0 20.0 20.0 13.0 31.0 35.0 37.0 33.0 23.0 12.0 9.0 11.0 12.0 14.0\n",
      " 17.0 23.0 24.0 32.0 38.0 41.0 49.0 44.0 44.0 41.0 41.0 36.0 35.0 31.0 27.0\n",
      " 25.0 24.0 24.0 18.0 17.0 13.0 6.0 1.0 4.0 10.0 11.0 14.0 14.0 11.0 11.0\n",
      " 10.0 9.0 8.0 8.0 13.0 17.0 18.0 18.0 19.0 19.0 19.0 20.0 20.0 20.0 21.0\n",
      " 23.0 21.0 20.0 20.0 21.0 21.0 24.0 24.0 22.0 21.0 20.0 18.0 13.0 8.0 5.0]\n",
      "[-- 26.0 31.0 34.0 33.0 35.0 39.0 38.0 29.0 27.0 22.0 21.0 16.0 16.0 17.0\n",
      " 17.0 19.0 20.0 23.0 24.0 22.0 20.0 19.0 14.0 14.0 13.0 12.0 13.0 13.0 17.0\n",
      " 20.0 23.0 23.0 24.0 27.0 28.0 48.0 46.0 42.0 35.0 35.0 66.0 70.0 71.0 77.0\n",
      " 78.0 78.0 76.0 68.0 59.0 53.0 50.0 49.0 45.0 45.0 45.0 34.0 20.0 21.0 30.0\n",
      " 37.0 33.0 23.0 18.0 16.0 25.0 38.0 41.0 41.0 36.0 34.0 31.0 15.0 15.0 28.0\n",
      " 31.0 34.0 35.0 35.0 35.0 37.0 31.0 29.0 27.0 31.0 34.0 39.0 41.0 47.0 56.0\n",
      " 56.0 54.0 53.0 52.0 50.0 49.0 49.0 49.0 48.0 47.0 48.0 41.0 37.0 33.0 24.0\n",
      " 21.0 14.0 14.0 16.0 19.0 21.0 20.0 15.0 11.0 10.0 0.0 4.0 13.0 13.0 8.0\n",
      " 18.0 23.0 23.0 19.0 19.0 18.0 17.0 15.0 15.0 14.0 14.0 15.0 16.0 16.0 17.0\n",
      " 17.0 18.0 18.0 18.0 19.0 20.0 20.0 20.0 20.0 18.0 17.0 18.0 21.0 22.0 22.0\n",
      " 23.0 26.0 25.0 24.0 23.0 23.0 12.0 11.0 10.0 8.0]\n",
      "[-- -- 32.0 23.0 15.0 13.0 21.0 23.0 24.0 21.0 25.0 29.0 35.0 23.0 22.0\n",
      " 21.0 19.0 18.0 41.0 39.0 32.0 32.0 41.0 42.0 33.0 22.0 1.0 10.0 23.0 33.0\n",
      " 37.0 40.0 47.0 47.0 46.0 51.0 77.0 87.0 88.0 89.0 93.0 94.0 94.0 92.0 77.0\n",
      " 75.0 66.0 60.0 37.0 27.0 19.0 22.0 28.0 28.0 5.0 14.0 22.0 28.0 28.0 22.0\n",
      " 33.0 25.0 15.0 16.0 25.0 27.0 30.0 35.0 40.0 44.0 44.0 44.0 44.0 44.0 44.0\n",
      " 41.0 31.0 35.0 39.0 43.0 46.0 46.0 46.0 46.0 46.0 49.0 50.0 51.0 52.0 53.0\n",
      " 53.0 53.0 51.0 49.0 47.0 45.0 43.0 41.0 40.0 37.0 37.0 35.0 35.0 33.0 31.0\n",
      " 30.0 28.0 26.0 16.0 16.0 16.0 15.0 14.0 11.0 9.0 10.0 9.0 6.0 2.0 1.0 2.0\n",
      " 9.0 9.0 8.0 10.0 11.0 12.0 13.0 13.0 13.0 19.0 19.0 20.0 20.0 22.0 22.0\n",
      " 22.0 24.0 28.0 25.0 23.0 19.0 18.0 16.0 16.0 15.0 14.0 13.0 13.0 19.0 21.0\n",
      " 22.0 24.0 24.0 24.0 21.0 12.0 7.0 8.0]\n",
      "[-- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- --\n",
      " -- -- 48.0 48.0 31.0 22.0 37.0 42.0 42.0 41.0 37.0 28.0 26.0 25.0 23.0\n",
      " 21.0 18.0 14.0 4.0 20.0 32.0 39.0 45.0 44.0 40.0 41.0 40.0 39.0 39.0 39.0\n",
      " 43.0 43.0 40.0 37.0 36.0 36.0 35.0 34.0 34.0 34.0 35.0 35.0 34.0 32.0 31.0\n",
      " 31.0 30.0 30.0 28.0 27.0 24.0 24.0 24.0 22.0 17.0 12.0 11.0 11.0 10.0 9.0\n",
      " 7.0 6.0 6.0 3.0 1.0 10.0 16.0 20.0 21.0 18.0 16.0 16.0 16.0 16.0 17.0 17.0\n",
      " 12.0 10.0 12.0 14.0 16.0 18.0 18.0 22.0 26.0 28.0 28.0 29.0 29.0 29.0 29.0\n",
      " 24.0 23.0 18.0 18.0 17.0 16.0 21.0 22.0 22.0 25.0 25.0 23.0 20.0 17.0 7.0\n",
      " 4.0]\n",
      "[-- 32.0 23.0 18.0 17.0 16.0 13.0 3.0 0.0 2.0 11.0 16.0 16.0 4.0 9.0 14.0\n",
      " 14.0 16.0 16.0 25.0 31.0 37.0 33.0 19.0 15.0 17.0 19.0 22.0 42.0 25.0 48.0\n",
      " 66.0 74.0 78.0 80.0 83.0 83.0 80.0 74.0 70.0 67.0 65.0 63.0 58.0 56.0 38.0\n",
      " 31.0 22.0 20.0 8.0 21.0 24.0 35.0 35.0 35.0 30.0 30.0 20.0 18.0 39.0 42.0\n",
      " 25.0 17.0 16.0 20.0 22.0 30.0 33.0 41.0 48.0 51.0 57.0 60.0 60.0 60.0 60.0\n",
      " 60.0 60.0 59.0 52.0 43.0 44.0 44.0 43.0 42.0 41.0 41.0 43.0 44.0 45.0 40.0\n",
      " 33.0 26.0 25.0 25.0 24.0 24.0 24.0 23.0 23.0 22.0 22.0 22.0 20.0 20.0 14.0\n",
      " 10.0 10.0 9.0 3.0 7.0 12.0 13.0 16.0 16.0 17.0 18.0 20.0 21.0 22.0 18.0\n",
      " 17.0 14.0 14.0 11.0 9.0 11.0 13.0 18.0 22.0 22.0 23.0 24.0 25.0 26.0 25.0\n",
      " 23.0 23.0 22.0 21.0 21.0 20.0 19.0 18.0 15.0 16.0 16.0 16.0 15.0 15.0 16.0\n",
      " 17.0 14.0 14.0 16.0 18.0 15.0 13.0 10.0 7.0 6.0]\n",
      "[-- 6.0 12.0 15.0 17.0 18.0 24.0 30.0 31.0 14.0 9.0 3.0 22.0 34.0 34.0 26.0\n",
      " 25.0 15.0 18.0 33.0 33.0 33.0 17.0 10.0 1.0 11.0 13.0 17.0 19.0 41.0 64.0\n",
      " 72.0 72.0 72.0 73.0 75.0 75.0 70.0 70.0 66.0 65.0 65.0 65.0 53.0 41.0 37.0\n",
      " 23.0 13.0 18.0 19.0 28.0 29.0 25.0 18.0 23.0 26.0 32.0 39.0 32.0 19.0 13.0\n",
      " 6.0 9.0 10.0 18.0 38.0 48.0 49.0 51.0 54.0 54.0 55.0 55.0 53.0 51.0 50.0\n",
      " 48.0 47.0 46.0 44.0 41.0 39.0 39.0 35.0 33.0 33.0 31.0 30.0 29.0 29.0 28.0\n",
      " 27.0 27.0 27.0 26.0 28.0 28.0 26.0 17.0 14.0 13.0 9.0 9.0 6.0 5.0 8.0 11.0\n",
      " 12.0 13.0 13.0 13.0 14.0 14.0 15.0 15.0 18.0 18.0 17.0 17.0 16.0 16.0 18.0\n",
      " 23.0 24.0 24.0 25.0 25.0 27.0 28.0 29.0 29.0 28.0 27.0 26.0 22.0 17.0 15.0\n",
      " 12.0 10.0 6.0 6.0 6.0 11.0 16.0 18.0 19.0 22.0 22.0 17.0 16.0 11.0 11.0\n",
      " 11.0 11.0 11.0 10.0 9.0 9.0 7.0]\n",
      "[-- 12.0 15.0 16.0 20.0 27.0 31.0 34.0 29.0 27.0 19.0 13.0 0.0 13.0 23.0\n",
      " 31.0 25.0 30.0 34.0 38.0 47.0 54.0 36.0 17.0 19.0 16.0 23.0 58.0 59.0 62.0\n",
      " 62.0 63.0 63.0 63.0 64.0 64.0 63.0 63.0 62.0 62.0 63.0 51.0 44.0 43.0 35.0\n",
      " 29.0 25.0 26.0 28.0 32.0 32.0 33.0 34.0 33.0 33.0 29.0 16.0 13.0 12.0 6.0\n",
      " 9.0 22.0 28.0 38.0 41.0 45.0 48.0 48.0 49.0 50.0 53.0 52.0 49.0 48.0 44.0\n",
      " 41.0 37.0 36.0 35.0 33.0 33.0 31.0 24.0 23.0 21.0 16.0 16.0 16.0 14.0 14.0\n",
      " 3.0 3.0 5.0 6.0 6.0 7.0 9.0 10.0 11.0 14.0 15.0 17.0 17.0 18.0 18.0 18.0\n",
      " 18.0 18.0 19.0 19.0 20.0 21.0 22.0 24.0 25.0 24.0 22.0 21.0 20.0 19.0 15.0\n",
      " 13.0 11.0 7.0 9.0 9.0 11.0 15.0 20.0 21.0 20.0 18.0 17.0 9.0 5.0 3.0]\n",
      "[-- 12.0 16.0 17.0 18.0 20.0 20.0 20.0 28.0 26.0 20.0 14.0 12.0 4.0 39.0\n",
      " 39.0 36.0 39.0 39.0 40.0 45.0 51.0 52.0 50.0 41.0 40.0 19.0 19.0 32.0 48.0\n",
      " 68.0 68.0 61.0 60.0 59.0 58.0 56.0 55.0 53.0 53.0 54.0 54.0 51.0 46.0 46.0\n",
      " 35.0 31.0 35.0 35.0 33.0 30.0 30.0 32.0 33.0 34.0 31.0 26.0 19.0 13.0 12.0\n",
      " 1.0 9.0 16.0 24.0 41.0 47.0 49.0 50.0 51.0 52.0 55.0 53.0 44.0 44.0 43.0\n",
      " 43.0 43.0 42.0 42.0 31.0 28.0 26.0 25.0 26.0 27.0 29.0 19.0 15.0 13.0 12.0\n",
      " 10.0 11.0 11.0 11.0 12.0 11.0 10.0 9.0 8.0 8.0 8.0 7.0 7.0 8.0 8.0 14.0\n",
      " 13.0 11.0 11.0 13.0 14.0 14.0 16.0 17.0 22.0 22.0 22.0 22.0 22.0 21.0 20.0\n",
      " 20.0 20.0 20.0 20.0 20.0 20.0 20.0 19.0 18.0 17.0 16.0 16.0 19.0 18.0 18.0\n",
      " 17.0 17.0 16.0 8.0 5.0 4.0]\n",
      "[-- 15.0 17.0 18.0 20.0 19.0 19.0 20.0 23.0 28.0 28.0 28.0 25.0 17.0 5.0\n",
      " 17.0 21.0 26.0 37.0 40.0 48.0 51.0 46.0 44.0 37.0 34.0 38.0 61.0 62.0 68.0\n",
      " 68.0 67.0 66.0 59.0 55.0 51.0 47.0 48.0 44.0 43.0 40.0 35.0 29.0 28.0 32.0\n",
      " 35.0 42.0 17.0 10.0 11.0 13.0 12.0 38.0 39.0 46.0 53.0 57.0 58.0 58.0 47.0\n",
      " 47.0 43.0 37.0 37.0 39.0 38.0 38.0 37.0 37.0 36.0 36.0 24.0 22.0 13.0 13.0\n",
      " 13.0 7.0 6.0 5.0 9.0 15.0 15.0 15.0 15.0 15.0 13.0 12.0 11.0 9.0 8.0 8.0\n",
      " 11.0 12.0 13.0 13.0 18.0 18.0 18.0 18.0 16.0 20.0 21.0 13.0 14.0 14.0 13.0\n",
      " 13.0 18.0 18.0 18.0 17.0 17.0 16.0 10.0 6.0 5.0]\n",
      "[-- 29.0 5.0 14.0 16.0 12.0 14.0 21.0 29.0 39.0 29.0 26.0 26.0 22.0 19.0\n",
      " 17.0 17.0 14.0 18.0 20.0 23.0 34.0 45.0 60.0 55.0 55.0 53.0 40.0 44.0 46.0\n",
      " 70.0 69.0 70.0 69.0 71.0 71.0 64.0 64.0 62.0 60.0 60.0 59.0 54.0 47.0 48.0\n",
      " 49.0 34.0 35.0 40.0 40.0 24.0 26.0 26.0 30.0 32.0 30.0 29.0 30.0 33.0 33.0\n",
      " 15.0 16.0 19.0 23.0 29.0 33.0 40.0 47.0 49.0 43.0 55.0 59.0 62.0 62.0 56.0\n",
      " 53.0 50.0 46.0 42.0 41.0 38.0 34.0 32.0 29.0 32.0 33.0 33.0 33.0 31.0 22.0\n",
      " 16.0 12.0 12.0 11.0 11.0 10.0 8.0 7.0 8.0 10.0 13.0 14.0 15.0 15.0 16.0\n",
      " 15.0 15.0 12.0 9.0 9.0 11.0 13.0 13.0 14.0 15.0 17.0 18.0 19.0 18.0 17.0\n",
      " 16.0 16.0 17.0 18.0 19.0 20.0 22.0 22.0 19.0 19.0 17.0 16.0 14.0 21.0 21.0\n",
      " 21.0 21.0 21.0 20.0 18.0 16.0 15.0 13.0 9.0 5.0]\n",
      "[-- 26.0 22.0 20.0 23.0 14.0 10.0 10.0 6.0 9.0 18.0 20.0 9.0 12.0 15.0 9.0\n",
      " 9.0 9.0 9.0 8.0 12.0 21.0 21.0 58.0 47.0 41.0 46.0 59.0 71.0 72.0 72.0\n",
      " 61.0 57.0 50.0 27.0 23.0 21.0 26.0 34.0 35.0 27.0 28.0 35.0 30.0 22.0 17.0\n",
      " 12.0 12.0 13.0 17.0 39.0 40.0 45.0 50.0 55.0 55.0 59.0 62.0 62.0 62.0 61.0\n",
      " 60.0 55.0 55.0 54.0 54.0 55.0 55.0 54.0 51.0 43.0 40.0 36.0 24.0 16.0 17.0\n",
      " 17.0 18.0 19.0 20.0 20.0 20.0 18.0 16.0 15.0 15.0 15.0 15.0 11.0 11.0 14.0\n",
      " 15.0 16.0 19.0 22.0 22.0 25.0 27.0 28.0 26.0 23.0 23.0 21.0 20.0 19.0 18.0\n",
      " 18.0 20.0 21.0 24.0 25.0 23.0 19.0 18.0 13.0 9.0 9.0 8.0]\n",
      "[-- 18.0 14.0 14.0 13.0 13.0 16.0 26.0 28.0 34.0 40.0 42.0 43.0 44.0 46.0\n",
      " 48.0 57.0 67.0 68.0 64.0 62.0 58.0 56.0 49.0 52.0 56.0 56.0 59.0 56.0 55.0\n",
      " 35.0 26.0 32.0 35.0 18.0 17.0 16.0 33.0 34.0 32.0 25.0 25.0 32.0 37.0 34.0\n",
      " 22.0 9.0 7.0 15.0 17.0 22.0 36.0 40.0 42.0 56.0 56.0 58.0 58.0 64.0 66.0\n",
      " 70.0 70.0 66.0 59.0 57.0 57.0 53.0 52.0 46.0 44.0 40.0 37.0 37.0 42.0 44.0\n",
      " 41.0 36.0 35.0 35.0 36.0 38.0 39.0 38.0 29.0 25.0 19.0 18.0 17.0 15.0 15.0\n",
      " 14.0 11.0 17.0 20.0 21.0 26.0 28.0 28.0 25.0 24.0 24.0 20.0 17.0 15.0 13.0\n",
      " 13.0 9.0 9.0 17.0 22.0 23.0 26.0 30.0 31.0 33.0 37.0 36.0 35.0 33.0 33.0\n",
      " 31.0 31.0 30.0 27.0 20.0 20.0 20.0 16.0 16.0 17.0 19.0 19.0 19.0 18.0 13.0\n",
      " 11.0 6.0]\n",
      "[-- 35.0 36.0 35.0 31.0 21.0 12.0 12.0 11.0 13.0 13.0 7.0 10.0 15.0 17.0\n",
      " 22.0 18.0 21.0 28.0 43.0 45.0 51.0 53.0 58.0 72.0 75.0 75.0 73.0 73.0 71.0\n",
      " 60.0 56.0 55.0 52.0 53.0 50.0 39.0 16.0 12.0 12.0 19.0 27.0 26.0 23.0 21.0\n",
      " 23.0 23.0 37.0 38.0 33.0 25.0 23.0 20.0 14.0 22.0 58.0 54.0 56.0 61.0 72.0\n",
      " 72.0 70.0 65.0 64.0 58.0 55.0 50.0 47.0 45.0 27.0 29.0 29.0 23.0 19.0 19.0\n",
      " 15.0 16.0 16.0 19.0 22.0 27.0 27.0 28.0 19.0 19.0 15.0 20.0 20.0 21.0 23.0\n",
      " 24.0 26.0 27.0 30.0 32.0 36.0 30.0 26.0 26.0 22.0 22.0 22.0 22.0 23.0 22.0\n",
      " 21.0 21.0 15.0 10.0 9.0]\n",
      "[-- 21.0 24.0 24.0 22.0 18.0 17.0 7.0 18.0 28.0 33.0 37.0 39.0 37.0 32.0\n",
      " 30.0 22.0 22.0 20.0 19.0 20.0 9.0 24.0 22.0 21.0 21.0 23.0 23.0 20.0 21.0\n",
      " 26.0 36.0 37.0 48.0 53.0 58.0 74.0 74.0 73.0 56.0 52.0 49.0 49.0 50.0 50.0\n",
      " 50.0 43.0 43.0 20.0 14.0 14.0 18.0 20.0 13.0 22.0 29.0 29.0 33.0 38.0 41.0\n",
      " 33.0 30.0 24.0 13.0 9.0 16.0 45.0 55.0 66.0 66.0 66.0 66.0 65.0 65.0 65.0\n",
      " 65.0 64.0 64.0 57.0 53.0 47.0 42.0 37.0 37.0 35.0 25.0 24.0 24.0 21.0 10.0\n",
      " 5.0 2.0 1.0 8.0 11.0 16.0 18.0 22.0 24.0 24.0 20.0 22.0 23.0 23.0 24.0\n",
      " 24.0 24.0 24.0 25.0 25.0 25.0 26.0 26.0 28.0 27.0 27.0 27.0 29.0 31.0 29.0\n",
      " 29.0 27.0 19.0 19.0 22.0 24.0 24.0 21.0 21.0 19.0 16.0 12.0 12.0 12.0]\n",
      "[-- 24.0 25.0 27.0 27.0 21.0 18.0 10.0 17.0 24.0 38.0 37.0 36.0 33.0 25.0\n",
      " 26.0 21.0 10.0 20.0 22.0 33.0 28.0 24.0 22.0 22.0 24.0 13.0 4.0 13.0 18.0\n",
      " 32.0 68.0 69.0 70.0 70.0 53.0 53.0 48.0 46.0 47.0 42.0 26.0 21.0 9.0 17.0\n",
      " 25.0 28.0 25.0 23.0 22.0 21.0 20.0 17.0 15.0 18.0 40.0 42.0 66.0 66.0 65.0\n",
      " 64.0 60.0 59.0 56.0 55.0 55.0 53.0 47.0 37.0 39.0 40.0 15.0 9.0 8.0 3.0\n",
      " 8.0 15.0 18.0 19.0 30.0 29.0 28.0 26.0 26.0 25.0 25.0 26.0 26.0 24.0 24.0\n",
      " 25.0 26.0 26.0 26.0 25.0 22.0 19.0 18.0 21.0 21.0 21.0 21.0 21.0 20.0 20.0\n",
      " 17.0 12.0 12.0 12.0]\n",
      "[-- 21.0 17.0 11.0 10.0 3.0 14.0 22.0 28.0 28.0 12.0 11.0 9.0 10.0 15.0\n",
      " 22.0 34.0 62.0 84.0 84.0 83.0 83.0 71.0 62.0 56.0 54.0 40.0 39.0 28.0 35.0\n",
      " 22.0 24.0 26.0 25.0 15.0 13.0 12.0 12.0 12.0 8.0 18.0 17.0 13.0 13.0 13.0\n",
      " 15.0 21.0 28.0 39.0 58.0 64.0 64.0 40.0 37.0 35.0 30.0 27.0 25.0 23.0 13.0\n",
      " 12.0 12.0 14.0 19.0 18.0 18.0 17.0 16.0 14.0 14.0 14.0 28.0 34.0 37.0 37.0\n",
      " 24.0 25.0 25.0 26.0 27.0 30.0 27.0 28.0 28.0 29.0 29.0 30.0 30.0 30.0 34.0\n",
      " 32.0 29.0 28.0 27.0 25.0 25.0 25.0 24.0 18.0 10.0 9.0]\n",
      "[-- 23.0 23.0 17.0 17.0 20.0 20.0 16.0 16.0 23.0 20.0 16.0 5.0 8.0 19.0\n",
      " 13.0 5.0 5.0 19.0 19.0 17.0 17.0 13.0 7.0 38.0 55.0 56.0 76.0 84.0 84.0\n",
      " 83.0 71.0 63.0 57.0 43.0 41.0 23.0 30.0 16.0 17.0 18.0 10.0 2.0 7.0 17.0\n",
      " 20.0 27.0 28.0 29.0 32.0 38.0 40.0 64.0 69.0 69.0 70.0 70.0 69.0 52.0 50.0\n",
      " 43.0 38.0 35.0 34.0 27.0 20.0 17.0 13.0 14.0 14.0 14.0 13.0 12.0 12.0 11.0\n",
      " 11.0 11.0 11.0 16.0 15.0 16.0 15.0 18.0 25.0 33.0 34.0 36.0 32.0 32.0 31.0\n",
      " 32.0 34.0 35.0 36.0 37.0 40.0 37.0 37.0 36.0 36.0 33.0 33.0 31.0 28.0 26.0\n",
      " 26.0 24.0 20.0 10.0 10.0]\n",
      "[-- 5.0 9.0 15.0 15.0 19.0 20.0 20.0 21.0 26.0 45.0 47.0 79.0 79.0 80.0\n",
      " 80.0 73.0 64.0 51.0 47.0 42.0 29.0 27.0 39.0 40.0 27.0 13.0 16.0 15.0 12.0\n",
      " 10.0 21.0 22.0 23.0 29.0 33.0 57.0 57.0 56.0 52.0 51.0 48.0 39.0 29.0 26.0\n",
      " 22.0 15.0 15.0 15.0 14.0 14.0 13.0 11.0 6.0 9.0 12.0 13.0 16.0 5.0 7.0 8.0\n",
      " 9.0 3.0 5.0 6.0 14.0 17.0 21.0 23.0 28.0 31.0 31.0 33.0 38.0 38.0 37.0\n",
      " 37.0 37.0 36.0 35.0 33.0 33.0 30.0 30.0 23.0 15.0 15.0]\n",
      "[21.0 3.0 7.0 2.0 10.0 11.0 25.0 33.0 10.0 --]\n",
      "[-- -- -- 14.0 15.0 25.0 26.0 26.0 44.0 30.0 23.0 20.0 19.0 15.0 12.0 9.0\n",
      " 8.0 9.0 9.0 15.0 14.0 14.0 14.0 14.0 19.0 22.0 22.0 24.0 18.0 13.0 8.0 8.0\n",
      " 8.0 8.0 11.0 10.0 13.0 16.0 20.0 24.0 25.0 25.0 26.0 27.0 27.0 29.0 29.0\n",
      " 29.0 32.0 34.0 35.0 36.0 36.0 36.0 35.0 34.0 34.0 34.0 33.0 32.0 32.0 32.0\n",
      " 32.0 32.0 16.0 15.0 14.0]\n",
      "[-- -- 18.0 10.0 11.0 13.0 13.0 16.0 17.0 18.0 22.0 31.0 24.0 8.0 11.0 25.0\n",
      " 28.0 72.0 73.0 73.0 74.0 74.0 65.0 63.0 55.0 49.0 47.0 46.0 27.0 25.0 19.0\n",
      " 23.0 29.0 23.0 20.0 2.0 7.0 7.0 10.0 17.0 18.0 20.0 20.0 20.0 18.0 20.0\n",
      " 25.0 27.0 31.0 31.0 31.0 30.0 37.0 31.0 27.0 16.0 11.0 10.0 18.0 18.0 19.0\n",
      " 19.0 18.0 20.0 25.0 27.0 31.0 30.0 30.0 29.0 28.0 28.0 34.0 36.0 37.0 37.0\n",
      " 31.0 29.0 25.0 21.0 19.0 21.0 23.0 26.0 30.0 33.0 36.0 38.0 39.0 33.0 33.0\n",
      " 33.0 33.0 33.0 34.0 34.0 35.0 35.0 28.0 25.0 13.0 13.0 --]\n",
      "[-- -- 35.0 31.0 31.0 15.0 9.0 7.0 6.0 12.0 23.0 24.0 28.0 39.0 39.0 20.0\n",
      " 16.0 40.0 42.0 64.0 65.0 65.0 68.0 68.0 62.0 46.0 42.0 37.0 33.0 30.0 29.0\n",
      " 24.0 25.0 11.0 10.0 6.0 15.0 25.0 16.0 15.0 14.0 26.0 25.0 25.0 39.0 48.0\n",
      " 44.0 44.0 46.0 31.0 25.0 25.0 24.0 16.0 16.0 11.0 8.0 8.0 10.0 13.0 17.0\n",
      " 19.0 20.0 23.0 22.0 22.0 20.0 23.0 23.0 24.0 26.0 29.0 29.0 29.0 26.0 26.0\n",
      " 26.0 25.0 24.0 24.0 25.0 28.0 30.0 32.0 33.0 39.0 41.0 41.0 40.0 38.0 38.0\n",
      " 36.0 36.0 35.0 29.0 20.0 19.0 --]\n",
      "[-- 12.0 18.0 23.0 23.0 27.0 32.0 36.0 35.0 35.0 38.0 38.0 34.0 32.0 32.0\n",
      " 28.0 19.0 17.0 16.0 17.0 31.0 31.0 28.0 16.0 10.0 8.0 18.0 35.0 42.0 29.0\n",
      " 29.0 28.0 62.0 62.0 66.0 68.0 71.0 71.0 62.0 53.0 50.0 47.0 44.0 22.0 26.0\n",
      " 26.0 31.0 13.0 13.0 16.0 21.0 17.0 14.0 16.0 17.0 20.0 20.0 22.0 25.0 42.0\n",
      " 43.0 43.0 41.0 41.0 45.0 45.0 46.0 39.0 40.0 27.0 27.0 23.0 21.0 17.0 16.0\n",
      " 14.0 12.0 10.0 7.0 3.0 6.0 7.0 7.0 9.0 9.0 12.0 14.0 11.0 11.0 11.0 13.0\n",
      " 17.0 22.0 25.0 22.0 22.0 23.0 26.0 26.0 31.0 28.0 28.0 28.0 28.0 27.0 27.0\n",
      " 27.0 27.0 28.0 28.0 28.0 27.0 27.0 27.0 26.0 24.0 22.0 22.0 20.0 20.0 20.0\n",
      " 6.0 4.0]\n",
      "[-- -- 5.0 -- -- 32.0 35.0 48.0 44.0 42.0 37.0 38.0 40.0 32.0 32.0 31.0\n",
      " 25.0 14.0 8.0 8.0 9.0 11.0 15.0 16.0 20.0 19.0 13.0 9.0 8.0 8.0 8.0 8.0\n",
      " 8.0 15.0 16.0 21.0 25.0 26.0 27.0 26.0 24.0 22.0 21.0 18.0 18.0 16.0 17.0\n",
      " 23.0 21.0 22.0 21.0 22.0 19.0 19.0 19.0 20.0 20.0 21.0 21.0 21.0 21.0 21.0\n",
      " 22.0 21.0 6.0 6.0]\n",
      "[-- -- 44.0 52.0 57.0 60.0 65.0 66.0 67.0 67.0 64.0 55.0 54.0 51.0 49.0\n",
      " 44.0 42.0 39.0 14.0 14.0 16.0 18.0 19.0 17.0 14.0 6.0 6.0 5.0 10.0 14.0\n",
      " 22.0 24.0 28.0 38.0 40.0 40.0 41.0 45.0 43.0 40.0 40.0 42.0 40.0 34.0 33.0\n",
      " 33.0 36.0 36.0 37.0 35.0 29.0 24.0 22.0 11.0 18.0 24.0 21.0 18.0 17.0 16.0\n",
      " 16.0 16.0 16.0 24.0 26.0 28.0 28.0 29.0 26.0 27.0 22.0 14.0 17.0 21.0 21.0\n",
      " 18.0 18.0 19.0 20.0 22.0 22.0 22.0 24.0 26.0 26.0 27.0 25.0 24.0 23.0 22.0\n",
      " 22.0 22.0 20.0 16.0 10.0 9.0 --]\n",
      "[-- 35.0 42.0 47.0 49.0 52.0 44.0 41.0 33.0 24.0 26.0 26.0 13.0 12.0 18.0\n",
      " 18.0 9.0 2.0 5.0 9.0 22.0 28.0 26.0 31.0 13.0 10.0 16.0 19.0 22.0 37.0\n",
      " 41.0 51.0 71.0 71.0 68.0 62.0 59.0 59.0 56.0 47.0 43.0 29.0 28.0 21.0 14.0\n",
      " 20.0 18.0 4.0 11.0 34.0 38.0 44.0 44.0 45.0 48.0 48.0 45.0 45.0 48.0 51.0\n",
      " 52.0 48.0 44.0 41.0 40.0 38.0 36.0 24.0 25.0 25.0 24.0 23.0 22.0 21.0 21.0\n",
      " 21.0 18.0 27.0 29.0 29.0 28.0 27.0 25.0 24.0 21.0 20.0 20.0 19.0 17.0 17.0\n",
      " 16.0 17.0 22.0 23.0 24.0 24.0 22.0 21.0 22.0 23.0 23.0 24.0 23.0 21.0 20.0\n",
      " 19.0 19.0 19.0 19.0 14.0 10.0 9.0 9.0]\n",
      "[40.0 45.0 49.0 60.0 60.0 65.0 65.0 56.0 49.0 48.0 45.0 41.0 39.0 38.0 37.0\n",
      " 35.0 34.0 27.0 28.0 28.0 28.0 19.0 19.0 27.0 27.0 28.0 27.0 22.0 20.0 19.0\n",
      " 20.0 20.0 21.0 21.0 19.0 18.0 18.0 19.0 21.0 19.0 13.0 18.0 18.0 20.0 20.0\n",
      " 19.0 19.0 21.0 21.0 23.0 23.0 25.0 25.0 25.0 26.0 25.0 24.0 24.0 21.0 20.0\n",
      " 13.0 6.0 6.0]\n",
      "[-- 31.0 12.0 11.0 11.0 12.0 17.0 14.0 12.0 20.0 16.0 15.0 38.0 37.0 35.0\n",
      " 22.0 10.0 5.0 15.0 36.0 60.0 66.0 68.0 68.0 67.0 65.0 60.0 60.0 56.0 56.0\n",
      " 48.0 47.0 47.0 47.0 47.0 44.0 36.0 28.0 27.0 23.0 21.0 17.0 17.0 13.0 10.0\n",
      " 11.0 23.0 26.0 51.0 51.0 52.0 67.0 67.0 67.0 69.0 69.0 64.0 59.0 49.0 46.0\n",
      " 42.0 38.0 38.0 36.0 36.0 32.0 29.0 28.0 28.0 28.0 29.0 29.0 29.0 26.0 24.0\n",
      " 24.0 22.0 19.0 19.0 16.0 19.0 22.0 23.0 28.0 28.0 24.0 19.0 19.0 18.0 18.0\n",
      " 18.0 18.0 17.0 17.0 17.0 17.0 17.0 17.0 16.0 15.0 15.0 17.0 15.0 17.0 17.0\n",
      " 17.0 18.0 18.0 20.0 23.0 24.0 24.0 24.0 14.0 8.0 7.0]\n",
      "[-- 26.0 37.0 27.0 22.0 22.0 18.0 16.0 11.0 9.0 8.0 19.0 15.0 9.0 4.0 31.0\n",
      " 35.0 35.0 31.0 25.0 21.0 21.0 13.0 9.0 20.0 55.0 65.0 65.0 65.0 64.0 61.0\n",
      " 61.0 60.0 58.0 58.0 46.0 45.0 42.0 46.0 48.0 28.0 24.0 24.0 22.0 17.0 18.0\n",
      " 20.0 21.0 21.0 31.0 34.0 40.0 48.0 48.0 49.0 49.0 50.0 61.0 71.0 71.0 71.0\n",
      " 67.0 63.0 62.0 47.0 46.0 38.0 37.0 28.0 24.0 23.0 29.0 28.0 25.0 24.0 21.0\n",
      " 21.0 25.0 26.0 27.0 27.0 24.0 24.0 17.0 18.0 18.0 17.0 17.0 17.0 16.0 16.0\n",
      " 16.0 16.0 17.0 15.0 14.0 13.0 12.0 11.0 11.0 13.0 15.0 17.0 19.0 20.0 21.0\n",
      " 26.0 27.0 27.0 28.0 19.0 16.0 12.0 10.0 10.0]\n",
      "[-- -- 45.0 35.0 25.0 12.0 30.0 40.0 36.0 32.0 29.0 27.0 27.0 12.0 7.0 6.0\n",
      " 33.0 39.0 40.0 40.0 38.0 36.0 25.0 20.0 45.0 56.0 68.0 68.0 68.0 57.0 57.0\n",
      " 57.0 56.0 50.0 50.0 46.0 47.0 45.0 38.0 22.0 21.0 19.0 19.0 18.0 14.0 9.0\n",
      " 21.0 23.0 26.0 45.0 51.0 61.0 60.0 60.0 53.0 53.0 66.0 66.0 63.0 62.0 61.0\n",
      " 55.0 48.0 46.0 44.0 43.0 41.0 34.0 32.0 25.0 25.0 21.0 24.0 27.0 28.0 27.0\n",
      " 26.0 20.0 20.0 20.0 16.0 16.0 13.0 15.0 15.0 15.0 15.0 15.0 13.0 13.0 14.0\n",
      " 12.0 12.0 11.0 10.0 10.0 10.0 10.0 11.0 11.0 12.0 14.0 14.0 17.0 18.0 17.0\n",
      " 17.0 16.0 15.0 13.0 5.0 4.0 3.0]\n",
      "[-- 19.0 18.0 14.0 10.0 7.0 13.0 16.0 44.0 54.0 58.0 59.0 49.0 51.0 64.0\n",
      " 71.0 71.0 64.0 58.0 40.0 37.0 35.0 32.0 32.0 28.0 27.0 24.0 19.0 24.0 26.0\n",
      " 23.0 22.0 22.0 22.0 21.0 20.0 19.0 17.0 16.0 16.0 7.0 5.0 4.0 7.0 15.0\n",
      " 16.0 18.0 17.0 16.0 15.0 15.0 15.0 14.0 14.0 14.0 13.0 13.0 14.0 14.0 14.0\n",
      " 15.0 15.0 15.0 15.0 12.0 11.0 16.0 16.0 17.0 23.0 24.0 26.0 23.0 22.0 19.0\n",
      " 15.0 6.0 5.0]\n",
      "[-- -- 22.0 11.0 1.0 8.0 12.0 11.0 7.0 4.0 12.0 21.0 27.0 30.0 32.0 25.0\n",
      " 30.0 70.0 73.0 76.0 76.0 75.0 70.0 66.0 61.0 60.0 53.0 50.0 44.0 44.0 44.0\n",
      " 47.0 41.0 36.0 28.0 17.0 17.0 21.0 23.0 6.0 5.0 5.0 10.0 12.0 54.0 52.0\n",
      " 48.0 40.0 43.0 44.0 66.0 66.0 50.0 46.0 27.0 24.0 21.0 19.0 17.0 17.0 18.0\n",
      " 19.0 21.0 24.0 18.0 16.0 16.0 18.0 18.0 17.0 17.0 21.0 22.0 21.0 17.0 14.0\n",
      " 12.0 8.0 10.0 15.0 17.0 20.0 20.0 20.0 20.0 17.0 16.0 18.0 18.0 20.0 20.0\n",
      " 20.0 22.0 22.0 19.0 17.0 13.0 7.0 6.0]\n",
      "[-- -- 38.0 43.0 46.0 47.0 46.0 29.0 30.0 22.0 17.0 17.0 17.0 17.0 26.0\n",
      " 26.0 25.0 19.0 17.0 8.0 4.0 2.0 8.0 9.0 14.0 9.0 22.0 28.0 29.0 37.0 50.0\n",
      " 58.0 74.0 75.0 75.0 65.0 54.0 53.0 48.0 39.0 40.0 42.0 33.0 22.0 21.0 9.0\n",
      " 13.0 22.0 23.0 21.0 21.0 15.0 18.0 20.0 25.0 27.0 30.0 29.0 31.0 43.0 48.0\n",
      " 61.0 61.0 54.0 41.0 33.0 24.0 18.0 24.0 21.0 20.0 20.0 19.0 19.0 18.0 18.0\n",
      " 17.0 17.0 17.0 17.0 16.0 16.0 16.0 16.0 16.0 16.0 11.0 10.0 11.0 13.0 13.0\n",
      " 13.0 12.0 11.0 11.0 11.0 10.0 10.0 9.0 9.0 8.0 8.0 15.0 18.0 19.0 19.0\n",
      " 20.0 19.0 15.0 16.0 16.0 16.0 17.0 20.0 20.0 22.0 23.0 19.0 18.0 17.0 14.0\n",
      " 9.0 7.0 7.0]\n",
      "[-- -- -- 39.0 34.0 21.0 14.0 10.0 11.0 17.0 6.0 10.0 15.0 30.0 37.0 54.0\n",
      " 55.0 53.0 24.0 24.0 19.0 19.0 17.0 14.0 10.0 11.0 16.0 22.0 44.0 54.0 44.0\n",
      " 33.0 29.0 23.0 17.0 15.0 16.0 16.0 16.0 16.0 16.0 16.0 15.0 15.0 15.0 15.0\n",
      " 15.0 14.0 13.0 13.0 10.0 9.0 9.0 10.0 10.0 10.0 11.0 14.0 14.0 13.0 13.0\n",
      " 13.0 14.0 14.0 16.0 16.0 16.0 16.0 16.0 16.0 17.0 17.0 13.0 11.0 8.0 8.0\n",
      " 9.0 12.0 12.0 12.0 16.0 17.0 20.0 17.0 14.0 12.0 11.0 5.0 4.0]\n",
      "[-- -- -- 32.0 30.0 24.0 18.0 20.0 18.0 10.0 6.0 11.0 15.0 15.0 25.0 22.0\n",
      " 21.0 27.0 27.0 25.0 23.0 21.0 14.0 20.0 28.0 27.0 22.0 29.0 56.0 65.0 65.0\n",
      " 66.0 67.0 67.0 57.0 53.0 49.0 39.0 46.0 45.0 44.0 44.0 45.0 39.0 33.0 25.0\n",
      " 18.0 25.0 27.0 4.0 3.0 2.0 1.0 7.0 9.0 15.0 12.0 15.0 25.0 29.0 46.0 49.0\n",
      " 65.0 65.0 45.0 27.0 14.0 14.0 9.0 13.0 13.0 14.0 14.0 10.0 9.0 8.0 7.0 8.0\n",
      " 10.0 15.0 10.0 10.0 10.0 13.0 12.0 10.0 10.0 8.0 8.0 6.0 8.0 10.0 10.0\n",
      " 11.0 11.0 11.0 11.0 11.0 12.0 12.0 15.0 13.0 14.0 14.0 15.0 17.0 16.0 14.0\n",
      " 12.0 11.0 15.0 17.0 18.0 18.0 20.0 20.0 20.0 18.0 16.0 11.0 9.0 3.0 2.0]\n",
      "[-- 38.0 38.0 38.0 37.0 38.0 23.0 25.0 25.0 20.0 13.0 20.0 21.0 21.0 11.0\n",
      " 9.0 9.0 11.0 13.0 22.0 19.0 15.0 15.0 16.0 23.0 28.0 27.0 27.0 17.0 29.0\n",
      " 33.0 41.0 30.0 58.0 66.0 74.0 74.0 66.0 57.0 50.0 43.0 41.0 44.0 48.0 50.0\n",
      " 51.0 37.0 22.0 22.0 23.0 24.0 24.0 24.0 24.0 24.0 24.0 16.0 6.0 5.0 4.0\n",
      " 13.0 33.0 49.0 73.0 73.0 73.0 55.0 29.0 31.0 27.0 25.0 11.0 10.0 8.0 5.0\n",
      " 8.0 11.0 11.0 13.0 8.0 8.0 8.0 8.0 8.0 7.0 7.0 6.0 7.0 7.0 7.0 5.0 8.0\n",
      " 10.0 11.0 10.0 10.0 10.0 10.0 12.0 12.0 13.0 14.0 15.0 15.0 14.0 14.0 14.0\n",
      " 14.0 14.0 14.0 14.0 14.0 14.0 13.0 13.0 13.0 13.0 13.0 14.0 14.0 14.0 14.0\n",
      " 14.0 15.0 15.0 19.0 19.0 19.0 19.0 19.0 19.0 19.0 19.0 19.0 19.0 19.0 19.0\n",
      " 18.0 18.0 18.0 17.0 15.0 14.0 12.0 6.0 5.0]\n",
      "[-- 37.0 -- 25.0 22.0 23.0 22.0 18.0 16.0 15.0 17.0 17.0 15.0 15.0 15.0\n",
      " 11.0 10.0 9.0 5.0 4.0 17.0 6.0 18.0 19.0 27.0 29.0 31.0 29.0 33.0 35.0\n",
      " 45.0 66.0 68.0 80.0 80.0 67.0 61.0 60.0 55.0 44.0 29.0 42.0 40.0 41.0 42.0\n",
      " 44.0 29.0 21.0 18.0 16.0 15.0 18.0 24.0 21.0 20.0 13.0 10.0 12.0 20.0 31.0\n",
      " 33.0 43.0 57.0 75.0 75.0 74.0 53.0 46.0 39.0 24.0 25.0 25.0 23.0 23.0 26.0\n",
      " 21.0 20.0 20.0 9.0 8.0 9.0 16.0 11.0 2.0 0.0 3.0 4.0 3.0 2.0 2.0 3.0 3.0\n",
      " 3.0 3.0 3.0 4.0 4.0 4.0 6.0 7.0 7.0 7.0 6.0 8.0 10.0 12.0 12.0 13.0 15.0\n",
      " 14.0 14.0 14.0 15.0 15.0 15.0 15.0 17.0 17.0 17.0 17.0 18.0 18.0 18.0 17.0\n",
      " 17.0 18.0 19.0 16.0 14.0 13.0 13.0 11.0 9.0 9.0 9.0]\n",
      "[-- 21.0 21.0 31.0 37.0 29.0 27.0 22.0 20.0 21.0 13.0 13.0 7.0 5.0 13.0\n",
      " 14.0 14.0 17.0 31.0 15.0 8.0 8.0 19.0 18.0 23.0 24.0 22.0 40.0 49.0 53.0\n",
      " 75.0 79.0 79.0 76.0 71.0 67.0 64.0 38.0 35.0 47.0 38.0 23.0 22.0 18.0 10.0\n",
      " 10.0 6.0 13.0 17.0 20.0 21.0 21.0 21.0 21.0 16.0 22.0 46.0 70.0 68.0 70.0\n",
      " 66.0 59.0 49.0 45.0 35.0 25.0 21.0 21.0 20.0 9.0 10.0 4.0 3.0 7.0 16.0\n",
      " 13.0 7.0 7.0 6.0 5.0 4.0 4.0 3.0 4.0 4.0 5.0 4.0 4.0 3.0 3.0 8.0 9.0 9.0\n",
      " 8.0 8.0 7.0 7.0 10.0 10.0 10.0 13.0 13.0 13.0 13.0 13.0 13.0 13.0 13.0\n",
      " 13.0 13.0 12.0 13.0 13.0 11.0 11.0 13.0 12.0 12.0 12.0 12.0 8.0 4.0 4.0\n",
      " 3.0]\n",
      "[-- -- 18.0 16.0 13.0 11.0 11.0 10.0 10.0 19.0 11.0 2.0 6.0 4.0 5.0 14.0\n",
      " 10.0 9.0 9.0 32.0 32.0 25.0 24.0 15.0 12.0 15.0 15.0 16.0 25.0 57.0 61.0\n",
      " 68.0 70.0 70.0 67.0 63.0 60.0 44.0 36.0 40.0 45.0 42.0 19.0 19.0 14.0 5.0\n",
      " 15.0 17.0 22.0 28.0 44.0 65.0 65.0 72.0 72.0 71.0 56.0 56.0 52.0 45.0 30.0\n",
      " 31.0 30.0 26.0 16.0 14.0 14.0 12.0 10.0 9.0 8.0 6.0 5.0 5.0 5.0 5.0 4.0\n",
      " 4.0 3.0 2.0 4.0 4.0 6.0 7.0 9.0 9.0 9.0 9.0 9.0 9.0 8.0 8.0 8.0 8.0 8.0\n",
      " 8.0 8.0 10.0 13.0 13.0 13.0 13.0 13.0 13.0 13.0 13.0 13.0 13.0 13.0 13.0\n",
      " 13.0 12.0 11.0 11.0 11.0 12.0 13.0 15.0 15.0 15.0 15.0 15.0 15.0 10.0 4.0\n",
      " 3.0 3.0]\n",
      "[-- 29.0 31.0 14.0 13.0 13.0 11.0 7.0 3.0 1.0 2.0 8.0 9.0 21.0 13.0 10.0\n",
      " 5.0 13.0 11.0 12.0 20.0 33.0 32.0 26.0 19.0 17.0 4.0 2.0 1.0 2.0 2.0 11.0\n",
      " 16.0 39.0 52.0 61.0 62.0 68.0 74.0 74.0 73.0 72.0 67.0 64.0 56.0 45.0 40.0\n",
      " 33.0 41.0 43.0 43.0 44.0 41.0 36.0 27.0 23.0 14.0 10.0 10.0 10.0 18.0 20.0\n",
      " 34.0 40.0 52.0 64.0 68.0 68.0 61.0 60.0 52.0 51.0 49.0 47.0 41.0 33.0 22.0\n",
      " 21.0 13.0 14.0 16.0 20.0 19.0 19.0 19.0 10.0 7.0 7.0 6.0 3.0 3.0 3.0 3.0\n",
      " 3.0 4.0 7.0 10.0 10.0 11.0 11.0 11.0 10.0 10.0 9.0 9.0 12.0 12.0 12.0 12.0\n",
      " 13.0 11.0 11.0 12.0 12.0 16.0 17.0 16.0 14.0 15.0 15.0 15.0 13.0 12.0 7.0\n",
      " 6.0]\n",
      "[-- -- -- 28.0 28.0 15.0 19.0 22.0 21.0 21.0 20.0 20.0 20.0 16.0 10.0 6.0\n",
      " 24.0 37.0 56.0 68.0 74.0 69.0 64.0 49.0 37.0 36.0 38.0 19.0 16.0 18.0 21.0\n",
      " 37.0 43.0 56.0 58.0 29.0 26.0 6.0 7.0 9.0 9.0 9.0 9.0 9.0 15.0 11.0 5.0\n",
      " 4.0 4.0 4.0 5.0 5.0 5.0 5.0 5.0 5.0 5.0 6.0 12.0 11.0 11.0 10.0 10.0 10.0\n",
      " 10.0 10.0 10.0 10.0 10.0 10.0 10.0 10.0 10.0 10.0 12.0 12.0 10.0 10.0 11.0\n",
      " 12.0 12.0 12.0 12.0 14.0 14.0 16.0 16.0 17.0 11.0 6.0 6.0]\n",
      "[-- -- 32.0 23.0 21.0 17.0 18.0 18.0 19.0 19.0 20.0 26.0 43.0 51.0 65.0\n",
      " 65.0 64.0 57.0 34.0 34.0 20.0 19.0 14.0 14.0 14.0 14.0 20.0 18.0 18.0 17.0\n",
      " 14.0 13.0 10.0 9.0 5.0 3.0 3.0 6.0 4.0 5.0 11.0 12.0 11.0 11.0 9.0 9.0 7.0\n",
      " 7.0 6.0 6.0 6.0 8.0 13.0 13.0 12.0 11.0 10.0 10.0 10.0 10.0 10.0 11.0 12.0\n",
      " 12.0 13.0 14.0 14.0 14.0 14.0 11.0 9.0 5.0 4.0 4.0]\n",
      "[-- 24.0 -- 25.0 25.0 25.0 26.0 27.0 28.0 29.0 15.0 8.0 8.0 10.0 9.0 8.0\n",
      " 8.0 11.0 2.0 7.0 11.0 13.0 25.0 24.0 22.0 21.0 17.0 5.0 4.0 7.0 7.0 25.0\n",
      " 28.0 44.0 52.0 53.0 60.0 65.0 65.0 64.0 62.0 61.0 61.0 57.0 55.0 46.0 43.0\n",
      " 33.0 32.0 31.0 28.0 27.0 27.0 26.0 24.0 16.0 12.0 11.0 11.0 11.0 12.0 32.0\n",
      " 62.0 64.0 68.0 68.0 60.0 55.0 35.0 33.0 26.0 23.0 21.0 19.0 19.0 20.0 23.0\n",
      " 22.0 21.0 18.0 18.0 18.0 12.0 5.0 5.0 5.0 6.0 5.0 3.0 5.0 5.0 6.0 8.0 8.0\n",
      " 9.0 9.0 9.0 8.0 6.0 6.0 9.0 9.0 10.0 11.0 13.0 13.0 13.0 13.0 13.0 13.0\n",
      " 12.0 12.0 12.0 10.0 8.0 8.0 7.0 8.0 11.0 11.0 14.0 16.0 16.0 16.0 14.0\n",
      " 12.0 7.0 6.0 6.0]\n",
      "[-- 25.0 33.0 29.0 24.0 21.0 20.0 16.0 10.0 1.0 11.0 9.0 8.0 7.0 9.0 15.0\n",
      " 19.0 21.0 9.0 6.0 4.0 11.0 10.0 28.0 30.0 22.0 21.0 40.0 51.0 54.0 56.0\n",
      " 58.0 60.0 60.0 59.0 58.0 40.0 45.0 35.0 27.0 25.0 38.0 35.0 26.0 26.0 26.0\n",
      " 24.0 17.0 21.0 29.0 35.0 69.0 69.0 70.0 70.0 61.0 55.0 53.0 51.0 48.0 45.0\n",
      " 42.0 31.0 25.0 22.0 20.0 20.0 25.0 22.0 20.0 20.0 20.0 19.0 19.0 12.0 12.0\n",
      " 11.0 11.0 11.0 10.0 10.0 10.0 10.0 10.0 10.0 9.0 9.0 10.0 10.0 10.0 10.0\n",
      " 10.0 10.0 10.0 4.0 3.0 3.0 3.0 0.0 7.0 10.0 10.0 8.0 8.0 7.0 7.0 8.0 10.0\n",
      " 14.0 12.0 11.0 11.0 11.0 11.0 12.0 13.0 16.0 18.0 19.0 17.0 9.0 2.0 0.0]\n",
      "[-- -- 8.0 11.0 17.0 17.0 23.0 22.0 18.0 18.0 26.0 12.0 11.0 6.0 8.0 5.0\n",
      " 8.0 13.0 19.0 20.0 13.0 12.0 11.0 11.0 11.0 23.0 18.0 29.0 41.0 45.0 49.0\n",
      " 55.0 52.0 52.0 52.0 54.0 53.0 48.0 40.0 40.0 42.0 41.0 29.0 42.0 40.0 40.0\n",
      " 34.0 33.0 29.0 72.0 75.0 75.0 75.0 65.0 59.0 55.0 50.0 50.0 49.0 47.0 45.0\n",
      " 45.0 41.0 32.0 32.0 26.0 20.0 20.0 21.0 23.0 24.0 25.0 26.0 27.0 28.0 24.0\n",
      " 21.0 21.0 16.0 12.0 12.0 9.0 4.0 4.0 4.0 5.0 5.0 5.0 6.0 9.0 9.0 9.0 9.0\n",
      " 9.0 9.0 9.0 10.0 6.0 4.0 4.0 4.0 5.0 5.0 5.0 5.0 6.0 6.0 6.0 8.0 8.0 10.0\n",
      " 10.0 10.0 11.0 11.0 11.0 10.0 11.0 11.0 11.0 11.0 12.0 12.0 11.0 11.0 8.0\n",
      " 8.0 8.0 8.0]\n",
      "[-- -- 20.0 20.0 16.0 18.0 32.0 34.0 29.0 13.0 4.0 5.0 5.0 10.0 10.0 10.0\n",
      " 17.0 17.0 17.0 15.0 15.0 19.0 28.0 50.0 53.0 55.0 53.0 53.0 54.0 54.0 52.0\n",
      " 47.0 49.0 51.0 50.0 48.0 42.0 41.0 39.0 36.0 19.0 34.0 32.0 29.0 29.0 28.0\n",
      " 18.0 78.0 78.0 75.0 68.0 42.0 40.0 34.0 36.0 36.0 36.0 38.0 36.0 35.0 29.0\n",
      " 29.0 27.0 24.0 23.0 17.0 13.0 12.0 12.0 12.0 13.0 13.0 12.0 12.0 12.0 12.0\n",
      " 12.0 13.0 13.0 13.0 14.0 15.0 14.0 13.0 13.0 11.0 5.0 4.0 4.0 5.0 5.0 5.0\n",
      " 5.0 6.0 6.0 6.0 7.0 8.0 10.0 10.0 11.0 11.0 13.0 10.0 10.0 11.0 11.0 11.0\n",
      " 11.0 10.0 9.0 9.0 8.0 2.0 1.0 0.0]\n",
      "[12.0 -- 13.0 14.0 15.0 16.0 17.0 15.0 14.0 13.0 13.0 11.0 11.0 11.0 9.0\n",
      " 6.0 8.0 7.0 6.0 5.0 6.0 7.0 15.0 19.0 23.0 26.0 29.0 35.0 14.0 8.0 2.0\n",
      " 10.0 22.0 23.0 26.0 26.0 23.0 8.0 8.0 7.0 13.0 20.0 42.0 54.0 60.0 64.0\n",
      " 64.0 55.0 47.0 47.0 45.0 41.0 34.0 36.0 48.0 47.0 42.0 41.0 34.0 33.0 32.0\n",
      " 29.0 27.0 26.0 25.0 20.0 76.0 76.0 63.0 61.0 50.0 47.0 46.0 45.0 42.0 37.0\n",
      " 35.0 33.0 31.0 36.0 38.0 37.0 31.0 30.0 29.0 28.0 27.0 25.0 24.0 21.0 17.0\n",
      " 16.0 16.0 17.0 13.0 15.0 15.0 13.0 11.0 12.0 12.0 12.0 15.0 15.0 14.0 12.0\n",
      " 12.0 12.0 12.0 12.0 10.0 9.0 6.0 5.0 5.0 5.0 6.0 6.0 6.0 6.0 6.0 6.0 6.0\n",
      " 6.0 7.0 7.0 7.0 9.0 13.0 11.0 9.0 9.0 9.0 9.0 2.0 1.0 0.0]\n",
      "[-- 12.0 12.0 12.0 12.0 15.0 6.0 6.0 6.0 1.0 3.0 4.0 4.0 17.0 31.0 22.0\n",
      " 20.0 13.0 14.0 4.0 9.0 10.0 12.0 22.0 18.0 17.0 30.0 49.0 70.0 70.0 62.0\n",
      " 54.0 54.0 40.0 41.0 47.0 40.0 38.0 34.0 36.0 34.0 30.0 45.0 45.0 46.0 35.0\n",
      " 42.0 49.0 77.0 77.0 65.0 64.0 63.0 48.0 44.0 38.0 41.0 39.0 39.0 38.0 37.0\n",
      " 37.0 38.0 38.0 34.0 31.0 30.0 29.0 25.0 24.0 24.0 22.0 20.0 20.0 19.0 19.0\n",
      " 19.0 18.0 16.0 16.0 16.0 16.0 16.0 16.0 16.0 17.0 17.0 17.0 17.0 17.0 17.0\n",
      " 17.0 16.0 14.0 9.0 8.0 8.0 7.0 7.0 6.0 6.0 5.0 5.0 6.0 7.0 6.0 5.0 4.0 4.0\n",
      " 4.0 5.0 6.0 7.0 8.0 8.0 8.0 10.0 8.0 5.0 4.0]\n",
      "[-- -- 14.0 13.0 11.0 7.0 10.0 9.0 3.0 2.0 3.0 4.0 18.0 18.0 25.0 19.0 17.0\n",
      " 10.0 14.0 13.0 11.0 10.0 6.0 5.0 7.0 15.0 16.0 19.0 20.0 25.0 26.0 35.0\n",
      " 27.0 35.0 49.0 57.0 59.0 66.0 66.0 63.0 62.0 55.0 58.0 54.0 52.0 32.0 37.0\n",
      " 40.0 42.0 40.0 26.0 31.0 32.0 44.0 54.0 53.0 51.0 75.0 75.0 73.0 73.0 72.0\n",
      " 71.0 70.0 66.0 64.0 60.0 56.0 55.0 51.0 48.0 45.0 43.0 41.0 39.0 40.0 42.0\n",
      " 43.0 38.0 38.0 33.0 31.0 31.0 31.0 29.0 27.0 24.0 24.0 24.0 23.0 23.0 23.0\n",
      " 23.0 22.0 22.0 22.0 22.0 22.0 22.0 23.0 23.0 23.0 23.0 23.0 22.0 22.0 21.0\n",
      " 21.0 19.0 18.0 18.0 16.0 15.0 14.0 13.0 7.0 7.0 8.0 9.0 10.0 10.0 12.0\n",
      " 12.0 13.0 13.0 14.0 14.0 14.0 12.0 11.0 11.0 9.0 1.0 0.0]\n",
      "[-- 12.0 14.0 23.0 22.0 14.0 4.0 6.0 8.0 10.0 4.0 2.0 4.0 6.0 5.0 5.0 8.0\n",
      " 16.0 16.0 26.0 31.0 25.0 15.0 37.0 53.0 55.0 59.0 70.0 70.0 67.0 64.0 62.0\n",
      " 62.0 62.0 54.0 44.0 38.0 33.0 41.0 39.0 39.0 31.0 28.0 34.0 40.0 44.0 53.0\n",
      " 53.0 53.0 67.0 70.0 70.0 68.0 62.0 57.0 41.0 36.0 37.0 34.0 33.0 31.0 26.0\n",
      " 26.0 23.0 22.0 22.0 18.0 16.0 14.0 12.0 19.0 19.0 26.0 24.0 24.0 24.0 22.0\n",
      " 22.0 22.0 21.0 21.0 22.0 22.0 22.0 23.0 22.0 19.0 18.0 16.0 16.0 14.0 13.0\n",
      " 14.0 11.0 10.0 9.0 9.0 9.0 8.0 4.0 4.0 4.0 3.0 3.0 3.0]\n",
      "[-- 4.0 7.0 6.0 6.0 9.0 11.0 5.0 15.0 18.0 12.0 9.0 17.0 8.0 5.0 5.0 8.0\n",
      " 15.0 15.0 24.0 16.0 17.0 17.0 21.0 21.0 22.0 23.0 30.0 38.0 25.0 17.0 14.0\n",
      " 30.0 44.0 56.0 57.0 60.0 63.0 63.0 61.0 58.0 56.0 58.0 57.0 55.0 51.0 41.0\n",
      " 39.0 26.0 32.0 42.0 37.0 24.0 23.0 23.0 36.0 36.0 38.0 39.0 42.0 46.0 48.0\n",
      " 63.0 64.0 64.0 64.0 55.0 44.0 42.0 38.0 38.0 35.0 33.0 32.0 30.0 30.0 31.0\n",
      " 32.0 32.0 32.0 27.0 26.0 26.0 26.0 13.0 10.0 12.0 12.0 13.0 15.0 19.0 22.0\n",
      " 23.0 26.0 27.0 27.0 27.0 27.0 27.0 22.0 21.0 21.0 20.0 17.0 15.0 13.0 13.0\n",
      " 13.0 14.0 12.0 11.0 11.0 9.0 10.0 9.0 9.0 9.0 7.0 6.0 9.0 8.0 5.0 5.0 5.0\n",
      " 3.0 3.0]\n",
      "[-- 28.0 26.0 18.0 5.0 3.0 3.0 4.0 3.0 11.0 11.0 14.0 15.0 5.0 13.0 19.0\n",
      " 15.0 13.0 11.0 9.0 11.0 10.0 10.0 6.0 16.0 12.0 9.0 6.0 12.0 13.0 21.0\n",
      " 18.0 19.0 26.0 27.0 30.0 33.0 46.0 31.0 28.0 30.0 36.0 65.0 65.0 54.0 51.0\n",
      " 50.0 48.0 39.0 31.0 30.0 30.0 42.0 44.0 43.0 29.0 24.0 24.0 27.0 27.0 27.0\n",
      " 32.0 33.0 48.0 43.0 47.0 51.0 51.0 45.0 40.0 38.0 37.0 34.0 32.0 28.0 28.0\n",
      " 28.0 28.0 28.0 22.0 21.0 16.0 13.0 10.0 8.0 8.0 8.0 10.0 10.0 12.0 13.0\n",
      " 15.0 16.0 12.0 12.0 7.0 8.0 17.0 17.0 16.0 12.0 13.0 15.0 16.0 16.0 15.0\n",
      " 13.0 13.0 12.0 8.0 4.0 3.0 1.0 8.0 10.0 8.0 8.0 6.0 4.0 3.0 3.0]\n",
      "[-- 19.0 13.0 9.0 13.0 9.0 12.0 13.0 13.0 23.0 14.0 12.0 1.0 2.0 11.0 5.0\n",
      " 4.0 9.0 12.0 21.0 21.0 25.0 29.0 36.0 32.0 31.0 20.0 20.0 39.0 44.0 49.0\n",
      " 64.0 64.0 59.0 53.0 50.0 46.0 35.0 35.0 29.0 32.0 35.0 33.0 35.0 45.0 32.0\n",
      " 20.0 17.0 17.0 17.0 36.0 40.0 41.0 43.0 42.0 37.0 35.0 33.0 32.0 31.0 30.0\n",
      " 28.0 27.0 24.0 24.0 16.0 16.0 16.0 20.0 22.0 16.0 15.0 13.0 14.0 19.0 13.0\n",
      " 12.0 13.0 13.0 13.0 13.0 4.0 5.0 4.0 6.0 6.0 10.0 10.0 8.0 7.0 6.0 3.0 3.0]\n",
      "[-- 22.0 15.0 29.0 30.0 40.0 40.0 27.0 25.0 28.0 31.0 43.0 44.0 61.0 61.0\n",
      " 49.0 48.0 41.0 34.0 34.0 38.0 37.0 35.0 35.0 35.0 35.0 35.0 27.0 10.0 8.0\n",
      " 4.0 4.0 5.0 10.0 25.0 34.0 35.0 45.0 42.0 41.0 40.0 29.0 28.0 25.0 27.0\n",
      " 27.0 25.0 21.0 20.0 22.0 22.0 22.0 21.0 21.0 19.0 19.0 19.0 22.0 20.0 20.0\n",
      " 22.0 19.0 18.0 18.0 17.0 16.0 14.0 10.0 8.0 7.0 1.0 1.0 3.0 4.0 8.0 11.0\n",
      " 14.0 7.0 5.0 4.0]\n",
      "[-- 11.0 6.0 7.0 8.0 2.0 6.0 5.0 4.0 4.0 4.0 11.0 14.0 11.0 11.0 13.0 10.0\n",
      " 10.0 8.0 11.0 15.0 33.0 21.0 22.0 12.0 18.0 19.0 22.0 23.0 28.0 29.0 33.0\n",
      " 41.0 49.0 49.0 42.0 42.0 32.0 32.0 34.0 38.0 60.0 60.0 53.0 53.0 42.0 42.0\n",
      " 42.0 42.0 43.0 43.0 42.0 41.0 36.0 36.0 36.0 36.0 36.0 26.0 10.0 7.0 5.0\n",
      " 5.0 23.0 23.0 27.0 29.0 30.0 31.0 32.0 32.0 34.0 36.0 36.0 24.0 13.0 10.0\n",
      " 10.0 11.0 11.0 12.0 12.0 14.0 18.0 16.0 15.0 15.0 15.0 13.0 10.0 11.0 13.0\n",
      " 14.0 14.0 14.0 14.0 12.0 9.0 11.0 13.0 16.0 16.0 18.0 18.0 20.0 22.0 26.0\n",
      " 24.0 21.0 15.0 14.0 12.0 9.0 10.0 7.0 6.0 6.0 3.0 5.0 5.0 5.0 7.0 11.0 5.0\n",
      " 5.0]\n",
      "[-- 14.0 10.0 9.0 8.0 11.0 16.0 12.0 2.0 13.0 13.0 13.0 13.0 13.0 14.0 9.0\n",
      " 5.0 17.0 18.0 20.0 20.0 15.0 14.0 15.0 21.0 32.0 48.0 44.0 42.0 43.0 53.0\n",
      " 51.0 48.0 48.0 49.0 56.0 58.0 55.0 36.0 35.0 39.0 39.0 40.0 43.0 45.0 45.0\n",
      " 31.0 21.0 19.0 19.0 15.0 18.0 6.0 5.0 22.0 20.0 17.0 25.0 26.0 37.0 33.0\n",
      " 29.0 27.0 25.0 22.0 20.0 12.0 11.0 12.0 14.0 14.0 14.0 13.0 13.0 11.0 10.0\n",
      " 10.0 10.0 10.0 9.0 11.0 12.0 12.0 12.0 12.0 12.0 13.0 13.0 14.0 14.0 16.0\n",
      " 16.0 16.0 22.0 22.0 21.0 21.0 18.0 14.0 6.0 4.0 4.0 4.0 4.0 4.0 5.0 4.0\n",
      " 4.0 4.0 6.0 7.0 3.0 3.0]\n",
      "[-- 21.0 22.0 19.0 18.0 18.0 16.0 24.0 9.0 11.0 13.0 15.0 23.0 23.0 22.0\n",
      " 19.0 30.0 13.0 9.0 12.0 16.0 21.0 14.0 7.0 17.0 14.0 26.0 22.0 33.0 46.0\n",
      " 37.0 55.0 56.0 57.0 58.0 58.0 47.0 46.0 37.0 27.0 27.0 34.0 41.0 39.0 37.0\n",
      " 36.0 33.0 35.0 38.0 40.0 27.0 23.0 23.0 20.0 20.0 20.0 20.0 12.0 8.0 15.0\n",
      " 17.0 12.0 11.0 11.0 14.0 35.0 37.0 32.0 25.0 22.0 22.0 22.0 22.0 18.0 8.0\n",
      " 8.0 6.0 6.0 6.0 6.0 6.0 6.0 6.0 4.0 4.0 5.0 5.0 5.0 12.0 12.0 11.0 11.0\n",
      " 10.0 12.0 14.0 16.0 17.0 21.0 22.0 23.0 23.0 23.0 20.0 18.0 14.0 15.0 11.0\n",
      " 11.0 11.0 7.0 6.0 6.0 6.0 5.0 5.0 5.0 6.0 6.0 6.0 7.0 6.0 4.0 3.0 1.0 2.0\n",
      " 3.0 3.0]\n",
      "[-- -- -- 18.0 15.0 14.0 13.0 13.0 31.0 11.0 25.0 23.0 13.0 11.0 4.0 7.0\n",
      " 14.0 27.0 22.0 19.0 19.0 25.0 10.0 9.0 8.0 10.0 8.0 8.0 8.0 13.0 5.0 10.0\n",
      " 29.0 53.0 54.0 55.0 56.0 49.0 32.0 34.0 35.0 37.0 35.0 30.0 30.0 24.0 22.0\n",
      " 20.0 18.0 16.0 9.0 10.0 11.0 12.0 10.0 13.0 13.0 15.0 31.0 34.0 33.0 31.0\n",
      " 31.0 31.0 27.0 27.0 25.0 24.0 23.0 19.0 18.0 14.0 12.0 6.0 5.0 5.0 5.0 5.0\n",
      " 6.0 7.0 9.0 9.0 9.0 9.0 14.0 14.0 15.0 15.0 15.0 18.0 19.0 21.0 22.0 22.0\n",
      " 22.0 22.0 21.0 20.0 20.0 20.0 20.0 19.0 19.0 19.0 19.0 19.0 17.0 15.0 11.0\n",
      " 12.0 12.0 11.0 10.0 10.0 10.0 8.0 6.0 3.0 2.0 4.0 5.0 5.0 6.0 7.0 8.0 7.0\n",
      " 7.0 7.0 7.0 2.0 1.0 0.0]\n",
      "[-- 7.0 7.0 8.0 34.0 30.0 26.0 5.0 9.0 16.0 18.0 18.0 14.0 16.0 23.0 27.0\n",
      " 27.0 29.0 20.0 12.0 7.0 4.0 4.0 5.0 12.0 14.0 14.0 6.0 14.0 19.0 27.0 30.0\n",
      " 32.0 55.0 59.0 59.0 55.0 53.0 48.0 46.0 39.0 31.0 25.0 26.0 34.0 34.0 30.0\n",
      " 28.0 37.0 30.0 27.0 24.0 24.0 24.0 18.0 13.0 12.0 20.0 14.0 15.0 36.0 36.0\n",
      " 25.0 22.0 16.0 16.0 15.0 9.0 7.0 7.0 10.0 9.0 6.0 6.0 8.0 8.0 8.0 8.0 8.0\n",
      " 9.0 11.0 12.0 12.0 14.0 20.0 20.0 20.0 20.0 20.0 19.0 19.0 18.0 18.0 18.0\n",
      " 17.0 16.0 16.0 14.0 13.0 12.0 11.0 10.0 10.0 10.0 7.0 10.0 10.0 10.0 11.0\n",
      " 11.0 12.0 10.0 9.0 9.0 7.0 7.0 5.0 1.0 1.0 0.0]\n",
      "[-- -- 14.0 5.0 13.0 5.0 7.0 10.0 9.0 3.0 7.0 12.0 27.0 32.0 32.0 35.0 65.0\n",
      " 71.0 71.0 71.0 71.0 53.0 36.0 35.0 28.0 26.0 25.0 26.0 27.0 34.0 38.0 33.0\n",
      " 27.0 27.0 25.0 24.0 26.0 27.0 31.0 32.0 32.0 20.0 15.0 20.0 29.0 17.0 17.0\n",
      " 16.0 24.0 32.0 32.0 32.0 25.0 24.0 23.0 21.0 16.0 10.0 6.0 5.0 5.0 5.0 7.0\n",
      " 10.0 13.0 12.0 8.0 6.0 2.0 3.0 12.0 11.0 11.0 11.0 10.0 10.0 10.0 14.0\n",
      " 14.0 22.0 22.0 22.0 21.0 21.0 20.0 20.0 20.0 20.0 20.0 20.0 19.0 19.0 19.0\n",
      " 20.0 21.0 23.0 21.0 21.0 20.0 20.0 18.0 18.0 15.0 14.0 13.0 11.0 11.0 12.0\n",
      " 13.0 13.0 14.0 11.0 9.0 7.0 6.0 4.0 0.0 0.0]\n",
      "[-- 17.0 16.0 15.0 18.0 15.0 14.0 10.0 11.0 8.0 18.0 31.0 24.0 20.0 18.0\n",
      " 16.0 6.0 9.0 13.0 12.0 11.0 6.0 6.0 6.0 14.0 12.0 25.0 36.0 32.0 28.0 35.0\n",
      " 66.0 67.0 68.0 68.0 65.0 58.0 49.0 40.0 39.0 38.0 29.0 18.0 27.0 28.0 28.0\n",
      " 21.0 23.0 27.0 26.0 25.0 18.0 18.0 22.0 27.0 31.0 29.0 21.0 20.0 29.0 25.0\n",
      " 22.0 21.0 13.0 18.0 20.0 22.0 28.0 31.0 30.0 29.0 24.0 24.0 20.0 18.0 17.0\n",
      " 14.0 12.0 11.0 15.0 16.0 15.0 14.0 14.0 14.0 15.0 16.0 16.0 16.0 17.0 19.0\n",
      " 20.0 21.0 22.0 22.0 22.0 22.0 23.0 22.0 22.0 21.0 20.0 19.0 18.0 15.0 13.0\n",
      " 13.0 13.0 13.0 12.0 10.0 12.0 13.0 11.0 10.0 9.0 9.0 7.0 6.0 3.0 4.0 4.0\n",
      " 5.0 5.0 7.0 6.0 6.0 6.0]\n",
      "[-- 12.0 11.0 18.0 10.0 6.0 6.0 4.0 4.0 17.0 25.0 29.0 32.0 6.0 6.0 6.0 9.0\n",
      " 5.0 6.0 5.0 2.0 10.0 8.0 7.0 5.0 26.0 16.0 10.0 26.0 68.0 69.0 78.0 78.0\n",
      " 64.0 58.0 47.0 33.0 21.0 19.0 18.0 18.0 15.0 22.0 25.0 21.0 20.0 19.0 13.0\n",
      " 26.0 27.0 28.0 30.0 32.0 21.0 18.0 18.0 19.0 20.0 24.0 28.0 28.0 28.0 24.0\n",
      " 22.0 20.0 19.0 18.0 18.0 25.0 23.0 24.0 24.0 24.0 22.0 20.0 20.0 17.0 17.0\n",
      " 18.0 19.0 20.0 20.0 20.0 20.0 21.0 19.0 17.0 18.0 20.0 22.0 25.0 25.0 24.0\n",
      " 24.0 24.0 24.0 23.0 23.0 23.0 22.0 22.0 22.0 22.0 22.0 21.0 21.0 19.0 16.0\n",
      " 16.0 11.0 9.0 9.0 8.0 8.0 8.0 9.0 9.0 9.0 7.0 7.0 6.0 7.0 7.0 7.0 7.0 7.0\n",
      " 4.0 1.0 1.0 0.0 0.0]\n",
      "[-- 17.0 21.0 1.0 3.0 10.0 10.0 10.0 10.0 12.0 10.0 7.0 13.0 22.0 20.0 21.0\n",
      " 24.0 23.0 18.0 8.0 4.0 4.0 7.0 17.0 16.0 9.0 22.0 13.0 13.0 34.0 35.0 59.0\n",
      " 59.0 59.0 59.0 57.0 57.0 51.0 28.0 24.0 23.0 26.0 18.0 25.0 33.0 18.0 12.0\n",
      " 16.0 23.0 25.0 32.0 39.0 27.0 23.0 22.0 21.0 20.0 18.0 22.0 22.0 22.0 24.0\n",
      " 26.0 24.0 21.0 23.0 23.0 23.0 18.0 20.0 20.0 24.0 24.0 23.0 23.0 22.0 21.0\n",
      " 21.0 27.0 26.0 26.0 24.0 25.0 25.0 25.0 24.0 24.0 22.0 17.0 16.0 14.0 13.0\n",
      " 13.0 12.0 10.0 10.0 9.0 8.0 8.0 7.0 7.0 5.0 3.0 3.0 3.0 4.0 4.0 4.0 4.0\n",
      " 4.0 4.0 4.0 4.0 4.0 4.0 4.0 4.0 4.0 6.0 5.0 5.0 5.0 5.0 4.0 1.0 1.0 2.0\n",
      " 2.0]\n",
      "[-- 14.0 7.0 8.0 12.0 12.0 25.0 19.0 23.0 23.0 38.0 59.0 64.0 62.0 60.0\n",
      " 51.0 50.0 25.0 18.0 15.0 17.0 17.0 19.0 20.0 21.0 34.0 35.0 23.0 20.0 20.0\n",
      " 20.0 20.0 22.0 21.0 21.0 19.0 18.0 21.0 23.0 25.0 25.0 26.0 26.0 27.0 28.0\n",
      " 28.0 28.0 24.0 24.0 24.0 24.0 22.0 20.0 18.0 21.0 22.0 22.0 21.0 18.0 17.0\n",
      " 18.0 18.0 16.0 14.0 14.0 12.0 11.0 11.0 6.0 5.0 5.0 5.0 6.0 7.0 5.0 5.0\n",
      " 4.0 5.0 5.0 2.0 3.0 3.0 2.0 2.0 2.0 2.0 2.0 4.0 4.0 4.0]\n",
      "[-- 12.0 8.0 5.0 11.0 9.0 12.0 12.0 12.0 17.0 23.0 14.0 14.0 9.0 9.0 9.0\n",
      " 17.0 14.0 11.0 24.0 52.0 53.0 53.0 53.0 54.0 54.0 56.0 57.0 57.0 56.0 43.0\n",
      " 34.0 24.0 21.0 20.0 18.0 24.0 27.0 27.0 28.0 20.0 15.0 14.0 13.0 19.0 24.0\n",
      " 27.0 35.0 29.0 28.0 28.0 28.0 32.0 30.0 30.0 28.0 28.0 28.0 27.0 27.0 25.0\n",
      " 23.0 23.0 23.0 21.0 18.0 18.0 18.0 18.0 18.0 17.0 18.0 18.0 19.0 19.0 20.0\n",
      " 20.0 21.0 21.0 23.0 25.0 23.0 22.0 21.0 18.0 17.0 17.0 17.0 17.0 16.0 15.0\n",
      " 15.0 14.0 14.0 13.0 13.0 8.0 9.0 10.0 12.0 13.0 13.0 11.0 4.0 3.0 4.0 5.0\n",
      " 6.0 7.0 8.0 9.0 7.0 7.0 7.0]\n",
      "[-- 25.0 24.0 12.0 5.0 4.0 1.0 17.0 14.0 4.0 13.0 8.0 7.0 5.0 15.0 1.0 3.0\n",
      " 5.0 15.0 15.0 15.0 9.0 14.0 23.0 24.0 26.0 23.0 9.0 7.0 14.0 45.0 47.0\n",
      " 51.0 59.0 61.0 61.0 53.0 53.0 53.0 51.0 51.0 45.0 45.0 28.0 28.0 28.0 28.0\n",
      " 23.0 24.0 9.0 12.0 16.0 15.0 15.0 15.0 11.0 11.0 32.0 36.0 26.0 23.0 22.0\n",
      " 22.0 20.0 24.0 30.0 33.0 33.0 32.0 31.0 31.0 30.0 25.0 22.0 23.0 22.0 20.0\n",
      " 14.0 15.0 21.0 27.0 25.0 25.0 22.0 22.0 22.0 23.0 24.0 24.0 24.0 23.0 23.0\n",
      " 22.0 21.0 19.0 19.0 18.0 17.0 16.0 16.0 17.0 17.0 17.0 17.0 18.0 19.0 20.0\n",
      " 18.0 17.0 15.0 13.0 9.0 9.0 10.0 9.0 9.0 8.0 6.0 7.0 7.0 6.0 6.0 8.0 8.0\n",
      " 7.0 7.0 4.0 3.0 2.0 2.0]\n",
      "[-- 13.0 8.0 5.0 5.0 6.0 3.0 6.0 11.0 12.0 12.0 4.0 17.0 27.0 28.0 24.0\n",
      " 19.0 15.0 14.0 7.0 27.0 36.0 27.0 26.0 28.0 35.0 47.0 55.0 56.0 57.0 58.0\n",
      " 57.0 47.0 45.0 43.0 36.0 38.0 27.0 31.0 32.0 25.0 6.0 11.0 19.0 32.0 25.0\n",
      " 20.0 15.0 12.0 14.0 19.0 20.0 23.0 29.0 28.0 36.0 39.0 41.0 42.0 39.0 35.0\n",
      " 32.0 31.0 30.0 29.0 27.0 27.0 24.0 22.0 21.0 24.0 23.0 20.0 14.0 19.0 20.0\n",
      " 21.0 21.0 21.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 21.0 21.0 22.0 23.0 26.0\n",
      " 26.0 25.0 24.0 24.0 22.0 22.0 22.0 21.0 21.0 21.0 20.0 20.0 20.0 15.0 11.0\n",
      " 11.0 11.0 9.0 7.0 6.0 5.0 5.0 5.0 5.0 5.0 6.0 7.0 8.0 8.0 8.0 7.0 4.0 3.0\n",
      " 3.0 3.0 3.0]\n",
      "[-- -- 9.0 9.0 9.0 9.0 15.0 18.0 25.0 29.0 34.0 38.0 42.0 51.0 52.0 40.0\n",
      " 38.0 36.0 34.0 29.0 27.0 21.0 20.0 10.0 11.0 21.0 26.0 36.0 38.0 43.0 42.0\n",
      " 27.0 25.0 24.0 24.0 23.0 24.0 25.0 25.0 25.0 25.0 23.0 21.0 21.0 21.0 21.0\n",
      " 21.0 21.0 21.0 21.0 20.0 20.0 20.0 20.0 20.0 20.0 19.0 19.0 19.0 19.0 19.0\n",
      " 18.0 20.0 21.0 21.0 21.0 22.0 23.0 22.0 22.0 21.0 21.0 21.0 21.0 20.0 18.0\n",
      " 16.0 16.0 10.0 9.0 8.0 8.0 8.0 8.0 7.0 8.0 9.0 11.0 12.0 4.0 3.0]\n",
      "[-- 23.0 21.0 16.0 13.0 6.0 6.0 0.0 6.0 6.0 15.0 24.0 16.0 8.0 10.0 13.0\n",
      " 15.0 24.0 25.0 32.0 41.0 48.0 51.0 54.0 61.0 65.0 65.0 54.0 53.0 42.0 36.0\n",
      " 24.0 28.0 42.0 42.0 42.0 35.0 33.0 23.0 14.0 11.0 9.0 9.0 9.0 9.0 10.0\n",
      " 11.0 23.0 34.0 41.0 39.0 32.0 22.0 22.0 24.0 25.0 25.0 24.0 23.0 23.0 23.0\n",
      " 22.0 19.0 19.0 19.0 20.0 21.0 22.0 19.0 18.0 16.0 16.0 16.0 16.0 16.0 17.0\n",
      " 17.0 19.0 20.0 21.0 23.0 29.0 35.0 41.0 37.0 28.0 26.0 25.0 25.0 21.0 21.0\n",
      " 17.0 17.0 13.0 12.0 11.0 11.0 11.0 12.0 13.0 14.0 16.0 18.0 19.0 20.0 20.0\n",
      " 19.0 11.0 10.0]\n",
      "[-- 46.0 27.0 26.0 25.0 25.0 11.0 1.0 3.0 3.0 4.0 3.0 11.0 21.0 22.0 17.0\n",
      " 13.0 7.0 5.0 6.0 9.0 8.0 6.0 6.0 6.0 6.0 18.0 18.0 17.0 23.0 45.0 46.0\n",
      " 47.0 61.0 61.0 60.0 60.0 45.0 31.0 24.0 29.0 37.0 38.0 37.0 37.0 31.0 28.0\n",
      " 26.0 24.0 16.0 14.0 13.0 11.0 7.0 7.0 8.0 9.0 13.0 14.0 19.0 22.0 29.0\n",
      " 42.0 41.0 35.0 28.0 32.0 29.0 26.0 27.0 27.0 27.0 27.0 28.0 29.0 27.0 25.0\n",
      " 25.0 23.0 20.0 18.0 18.0 19.0 20.0 22.0 33.0 33.0 33.0 32.0 32.0 30.0 29.0\n",
      " 28.0 27.0 26.0 26.0 25.0 25.0 25.0 24.0 24.0 24.0 24.0 21.0 19.0 18.0 15.0\n",
      " 14.0 13.0 13.0 12.0 7.0 8.0 13.0 13.0 16.0 17.0 18.0 18.0 18.0 18.0 18.0\n",
      " 15.0 11.0 5.0 5.0 4.0]\n",
      "[-- 7.0 8.0 12.0 10.0 4.0 2.0 4.0 5.0 3.0 3.0 5.0 8.0 23.0 23.0 13.0 11.0\n",
      " 14.0 13.0 5.0 3.0 11.0 11.0 23.0 16.0 17.0 16.0 14.0 18.0 46.0 59.0 59.0\n",
      " 63.0 65.0 67.0 67.0 61.0 55.0 53.0 50.0 46.0 25.0 23.0 36.0 40.0 37.0 34.0\n",
      " 33.0 31.0 31.0 31.0 35.0 29.0 24.0 13.0 13.0 13.0 14.0 35.0 40.0 36.0 35.0\n",
      " 31.0 34.0 35.0 35.0 35.0 35.0 31.0 29.0 26.0 22.0 22.0 22.0 21.0 21.0 19.0\n",
      " 17.0 15.0 19.0 21.0 22.0 22.0 22.0 22.0 18.0 7.0 6.0 6.0 11.0 11.0 11.0\n",
      " 10.0 8.0 7.0 6.0 5.0 10.0 9.0 9.0 15.0 16.0 17.0 18.0 19.0 20.0 20.0 20.0\n",
      " 20.0 19.0 18.0 17.0 17.0 16.0 14.0 5.0 5.0 4.0]\n",
      "[-- 65.0 94.0 135.0 144.0 150.0 120.0 119.0 117.0 116.0 115.0 97.0 95.0\n",
      " 105.0 112.0 115.0 76.0 70.0 67.0 55.0 55.0 45.0 52.0 60.0 80.0 85.0 85.0\n",
      " 75.0 105.0 103.0 100.0 95.0 90.0 90.0 90.0 90.0 95.0 95.0 85.0 85.0 85.0\n",
      " 82.0 73.0 65.0 78.0 100.0 105.0 110.0 96.0 90.0 87.0 85.0 77.0 75.0 86.0\n",
      " 92.0 100.0 91.0 85.0 93.0 95.0 92.0 87.0 80.0 80.0 80.0 71.0 67.0 63.0\n",
      " 50.0 45.0 36.0 19.0 15.0 15.0 29.0 58.0 77.0 90.0 90.0 93.0 97.0 100.0\n",
      " 100.0 105.0 109.0 110.0 106.0 104.0 103.0 100.0 95.0 101.0 105.0 108.0\n",
      " 110.0 110.0 109.0 107.0 106.0 105.0 109.0 113.0 116.0 129.0 132.0 155.0\n",
      " 170.0 180.0 180.0 178.0 176.0 175.0 0.0 359.0 332.0 281.0 245.0 225.0\n",
      " 200.0 200.0 200.0 211.0 215.0 206.0 205.0 220.0 215.0 215.0 215.0 220.0\n",
      " 230.0 230.0 225.0 220.0 223.0 225.0 211.0 205.0 200.0 199.0 195.0]\n",
      "[-- 80.0 114.0 125.0 170.0 120.0 118.0 100.0 103.0 109.0 110.0 71.0 65.0\n",
      " 65.0 65.0 72.0 77.0 85.0 100.0 95.0 80.0 77.0 70.0 86.0 105.0 102.0 101.0\n",
      " 100.0 95.0 95.0 95.0 95.0 85.0 85.0 85.0 85.0 87.0 89.0 90.0 77.0 75.0\n",
      " 78.0 84.0 85.0 85.0 85.0 85.0 85.0 85.0 84.0 80.0 75.0 50.0 56.0 61.0 65.0\n",
      " 75.0 78.0 83.0 85.0 85.0 80.0 77.0 74.0 72.0 72.0 70.0 69.0 64.0 59.0 52.0\n",
      " 46.0 41.0 36.0 35.0 30.0 23.0 13.0 10.0 13.0 15.0 15.0 24.0 25.0 34.0 49.0\n",
      " 61.0 65.0 95.0 98.0 105.0 106.0 120.0 126.0 130.0 130.0 126.0 123.0 121.0\n",
      " 120.0 120.0 124.0 135.0 135.0 135.0 132.0 130.0 130.0 136.0 143.0 185.0\n",
      " 175.0 150.0 144.0 140.0 147.0 159.0 190.0 210.0 207.0 190.0 200.0 210.0\n",
      " 213.0 227.0 230.0 227.0 225.0 214.0 210.0 225.0 230.0 232.0 235.0 240.0\n",
      " 239.0 230.0 215.0 217.0 220.0 220.0 220.0 200.0 197.0 192.0 190.0 195.0]\n",
      "[-- 105.0 103.0 95.0 90.0 90.0 85.0 50.0 52.0 55.0 90.0 95.0 95.0 135.0\n",
      " 145.0 150.0 141.0 121.0 115.0 118.0 120.0 98.0 90.0 90.0 78.0 60.0 60.0\n",
      " 64.0 70.0 80.0 105.0 60.0 60.0 65.0 68.0 77.0 80.0 85.0 85.0 85.0 85.0\n",
      " 85.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 90.0 93.0 95.0 95.0 95.0 95.0\n",
      " 95.0 95.0 95.0 88.0 82.0 80.0 75.0 65.0 62.0 57.0 55.0 60.0 70.0 70.0 70.0\n",
      " 70.0 74.0 75.0 69.0 67.0 64.0 60.0 53.0 45.0 43.0 42.0 41.0 40.0 37.0 34.0\n",
      " 30.0 32.0 37.0 49.0 50.0 61.0 94.0 95.0 100.0 114.0 120.0 119.0 116.0\n",
      " 116.0 115.0 117.0 120.0 125.0 125.0 120.0 117.0 112.0 107.0 95.0 82.0 75.0\n",
      " 61.0 45.0 36.0 3.0 346.0 315.0 315.0 338.0 345.0 327.0 278.0 225.0 215.0\n",
      " 213.0 207.0 204.0 200.0 214.0 215.0 215.0 211.0 210.0 213.0 215.0 215.0\n",
      " 215.0 217.0 220.0 220.0 225.0 214.0 210.0 210.0 210.0 210.0 210.0 205.0\n",
      " 205.0 205.0 204.0 185.0 180.0]\n",
      "[-- 150.0 118.0 110.0 106.0 100.0 115.0 115.0 135.0 100.0 96.0 80.0 80.0\n",
      " 89.0 110.0 95.0 92.0 88.0 86.0 85.0 85.0 85.0 85.0 85.0 86.0 88.0 90.0\n",
      " 80.0 70.0 76.0 80.0 83.0 90.0 88.0 87.0 85.0 86.0 91.0 93.0 95.0 95.0 91.0\n",
      " 85.0 83.0 75.0 75.0 73.0 68.0 60.0 64.0 68.0 70.0 70.0 70.0 70.0 85.0 95.0\n",
      " 94.0 91.0 90.0 90.0 95.0 89.0 83.0 77.0 69.0 65.0 63.0 54.0 45.0 38.0 35.0\n",
      " 30.0 30.0 45.0 45.0 45.0 56.0 90.0 100.0 106.0 113.0 119.0 125.0 131.0\n",
      " 133.0 137.0 140.0 140.0 160.0 147.0 140.0 134.0 125.0 128.0 130.0 128.0\n",
      " 125.0 120.0 119.0 115.0 117.0 122.0 125.0 130.0 137.0 141.0 145.0 152.0\n",
      " 170.0 218.0 230.0 240.0 228.0 220.0 205.0 225.0 225.0 220.0 230.0 235.0\n",
      " 245.0 245.0 245.0 243.0 240.0 232.0 230.0 233.0 235.0 242.0 245.0 245.0\n",
      " 240.0 240.0]\n",
      "[105.0 -- 100.0 111.0 120.0 140.0 124.0 50.0 71.0 80.0 65.0 52.0 48.0 45.0\n",
      " 32.0 30.0 105.0 91.0 42.0 30.0 105.0 205.0 174.0 145.0 138.0 107.0 90.0\n",
      " 91.0 92.0 94.0 95.0 100.0 100.0 100.0 95.0 100.0 100.0 95.0 90.0 90.0 92.0\n",
      " 94.0 95.0 95.0 95.0 90.0 90.0 90.0 87.0 80.0 76.0 65.0 60.0 60.0 62.0 76.0\n",
      " 85.0 83.0 81.0 80.0 82.0 84.0 85.0 85.0 85.0 85.0 85.0 80.0 76.0 72.0 71.0\n",
      " 70.0 70.0 75.0 90.0 90.0 95.0 92.0 80.0 65.0 67.0 70.0 70.0 70.0 73.0 80.0\n",
      " 80.0 80.0 70.0 60.0 65.0 63.0 60.0 65.0 55.0 58.0 72.0 89.0 95.0 100.0\n",
      " 106.0 109.0 112.0 115.0 115.0 116.0 117.0 119.0 121.0 126.0 136.0 141.0\n",
      " 145.0 151.0 153.0 155.0 157.0 159.0 160.0 194.0 200.0 341.0 0.0 64.0 74.0\n",
      " 98.0 119.0 129.0 150.0 143.0 88.0 71.0 0.0 120.0 128.0 193.0 230.0 225.0\n",
      " 235.0 221.0 220.0 235.0 245.0 235.0 223.0 220.0 223.0 235.0 235.0 235.0\n",
      " 235.0 236.0 240.0 240.0 235.0]\n",
      "[-- 70.0 42.0 0.0 345.0 23.0 75.0 73.0 70.0 66.0 65.0 59.0 50.0 55.0 23.0\n",
      " 5.0 350.0 10.0 25.0 55.0 91.0 85.0 255.0 247.0 227.0 194.0 143.0 125.0\n",
      " 108.0 100.0 99.0 80.0 80.0 95.0 90.0 86.0 80.0 80.0 80.0 82.0 85.0 95.0\n",
      " 96.0 97.0 98.0 99.0 99.0 100.0 100.0 104.0 105.0 89.0 72.0 70.0 70.0 69.0\n",
      " 68.0 66.0 65.0 71.0 85.0 84.0 82.0 81.0 80.0 80.0 80.0 80.0 84.0 88.0 90.0\n",
      " 90.0 92.0 95.0 90.0 76.0 65.0 66.0 70.0 72.0 77.0 80.0 80.0 78.0 70.0 65.0\n",
      " 65.0 65.0 68.0 79.0 95.0 95.0 95.0 95.0 70.0 77.0 82.0 86.0 93.0 95.0 95.0\n",
      " 95.0 95.0 95.0 95.0 95.0 95.0 95.0 95.0 95.0 95.0 95.0 95.0 52.0 16.0 10.0\n",
      " 359.0 351.0 342.0 332.0 313.0 301.0 253.0 235.0 236.0 240.0 240.0 223.0\n",
      " 216.0 202.0 200.0 217.0 230.0 220.0 234.0 248.0 255.0 240.0 247.0 255.0\n",
      " 255.0 255.0 250.0 250.0 250.0 250.0 235.0 240.0 250.0 247.0 245.0 245.0\n",
      " 245.0]\n",
      "[-- 75.0 70.0 55.0 65.0 75.0 71.0 65.0 28.0 260.0 235.0 115.0 75.0 15.0\n",
      " 35.0 36.0 45.0 80.0 108.0 110.0 103.0 100.0 85.0 82.0 75.0 85.0 85.0 81.0\n",
      " 76.0 75.0 75.0 75.0 75.0 76.0 80.0 81.0 90.0 90.0 94.0 95.0 97.0 100.0\n",
      " 100.0 100.0 100.0 90.0 96.0 105.0 96.0 95.0 85.0 85.0 85.0 77.0 65.0 60.0\n",
      " 65.0 65.0 65.0 55.0 65.0 85.0 75.0 73.0 70.0 67.0 62.0 60.0 45.0 40.0 40.0\n",
      " 44.0 51.0 55.0 58.0 68.0 81.0 90.0 96.0 100.0 92.0 83.0 78.0 75.0 90.0\n",
      " 100.0 105.0 110.0 117.0 123.0 132.0 148.0 154.0 165.0 178.0 185.0 174.0\n",
      " 151.0 117.0 110.0 86.0 31.0 345.0 339.0 335.0 334.0 329.0 327.0 325.0\n",
      " 323.0 316.0 311.0 306.0 299.0 276.0 275.0 285.0 300.0 291.0 243.0 229.0\n",
      " 217.0 215.0 217.0 218.0 220.0 224.0 225.0 227.0 230.0 230.0 242.0 245.0\n",
      " 245.0 245.0 246.0 250.0 250.0 242.0 240.0 235.0 235.0 235.0 235.0 236.0\n",
      " 240.0 240.0 240.0 240.0]\n",
      "[-- 80.0 80.0 81.0 83.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 111.0 130.0\n",
      " 111.0 110.0 110.0 110.0 105.0 102.0 85.0 85.0 84.0 83.0 83.0 82.0 82.0\n",
      " 80.0 80.0 74.0 60.0 65.0 70.0 80.0 85.0 75.0 77.0 80.0 70.0 70.0 70.0 69.0\n",
      " 68.0 67.0 66.0 66.0 65.0 65.0 65.0 65.0 61.0 56.0 55.0 52.0 49.0 48.0 48.0\n",
      " 46.0 45.0 25.0 37.0 45.0 47.0 58.0 65.0 65.0 72.0 90.0 86.0 76.0 70.0 72.0\n",
      " 72.0 74.0 75.0 75.0 95.0 110.0 113.0 119.0 122.0 126.0 130.0 127.0 113.0\n",
      " 110.0 111.0 120.0 129.0 154.0 220.0 215.0 201.0 200.0 200.0 199.0 197.0\n",
      " 196.0 195.0 193.0 185.0 195.0 195.0 205.0 222.0 225.0 220.0 235.0 232.0\n",
      " 230.0 230.0 235.0 226.0 225.0 255.0 252.0 250.0 245.0 240.0 235.0 225.0\n",
      " 220.0 226.0 229.0 240.0 240.0 240.0]\n",
      "[-- 90.0 71.0 65.0 82.0 87.0 95.0 125.0 120.0 127.0 130.0 129.0 120.0 121.0\n",
      " 115.0 103.0 90.0 83.0 71.0 61.0 54.0 50.0 61.0 86.0 90.0 150.0 135.0 122.0\n",
      " 115.0 115.0 115.0 115.0 105.0 94.0 90.0 90.0 90.0 90.0 85.0 85.0 85.0 85.0\n",
      " 90.0 86.0 82.0 80.0 94.0 107.0 115.0 115.0 90.0 87.0 86.0 85.0 82.0 80.0\n",
      " 83.0 84.0 85.0 88.0 90.0 70.0 70.0 71.0 74.0 75.0 69.0 60.0 39.0 30.0 25.0\n",
      " 20.0 20.0 20.0 22.0 27.0 30.0 30.0 30.0 30.0 30.0 30.0 30.0 25.0 50.0 55.0\n",
      " 80.0 94.0 105.0 102.0 95.0 92.0 90.0 89.0 82.0 80.0 85.0 88.0 92.0 94.0\n",
      " 95.0 85.0 63.0 55.0 21.0 11.0 10.0 298.0 285.0 335.0 330.0 327.0 324.0\n",
      " 321.0 320.0 314.0 286.0 285.0 256.0 220.0 0.0 331.0 251.0 240.0 225.0\n",
      " 229.0 234.0 235.0 230.0 220.0 220.0 220.0 215.0 215.0 210.0 210.0 211.0\n",
      " 215.0 215.0 219.0 222.0 225.0 225.0 225.0 215.0 180.0 150.0]\n",
      "[-- -- -- -- -- -- -- -- -- 245.0 180.0 140.0 104.0 100.0 100.0 99.0 95.0\n",
      " 96.0 98.0 100.0 100.0 100.0 95.0 92.0 90.0 80.0 82.0 88.0 90.0 105.0 105.0\n",
      " 95.0 96.0 110.0 105.0 122.0 140.0 151.0 155.0 150.0 143.0 110.0 83.0 80.0\n",
      " 78.0 74.0 70.0 70.0 86.0 90.0 82.0 70.0 68.0 55.0 53.0 49.0 44.0 42.0 40.0\n",
      " 40.0 21.0 15.0 10.0 5.0 5.0 5.0 5.0 18.0 25.0 40.0 32.0 14.0 10.0 10.0\n",
      " 17.0 40.0 45.0 65.0 55.0 63.0 110.0 110.0 135.0 110.0 140.0 142.0 160.0\n",
      " 160.0 140.0 180.0 176.0 175.0 175.0 177.0 190.0 180.0 187.0 195.0 222.0\n",
      " 225.0 204.0 200.0 195.0 231.0 235.0 246.0 255.0 254.0 252.0 250.0 245.0\n",
      " 255.0 260.0 261.0 270.0 271.0 275.0 275.0 270.0 270.0 270.0 270.0 275.0]\n",
      "[-- 125.0 153.0 180.0 125.0 95.0 90.0 69.0 65.0 27.0 0.0 355.0 340.0 0.0\n",
      " 95.0 86.0 85.0 80.0 81.0 85.0 86.0 90.0 90.0 90.0 90.0 90.0 85.0 87.0 89.0\n",
      " 90.0 80.0 80.0 100.0 80.0 105.0 160.0 160.0 160.0 160.0 135.0 115.0 101.0\n",
      " 93.0 80.0 80.0 80.0 80.0 80.0 74.0 68.0 65.0 55.0 50.0 48.0 46.0 45.0 45.0\n",
      " 40.0 30.0 43.0 55.0 55.0 25.0 27.0 30.0 85.0 85.0 84.0 80.0 100.0 95.0\n",
      " 114.0 130.0 155.0 150.0 135.0 137.0 145.0 140.0 140.0 140.0 140.0 120.0\n",
      " 123.0 123.0 126.0 130.0 150.0 180.0 180.0 190.0 227.0 234.0 235.0 248.0\n",
      " 250.0 247.0 245.0 255.0 248.0 245.0 280.0 278.0 275.0 270.0 267.0 265.0\n",
      " 265.0 265.0 265.0 265.0 265.0 268.0 275.0 270.0 270.0]\n",
      "[-- 75.0 67.0 65.0 53.0 45.0 305.0 284.0 222.0 200.0 215.0 110.0 70.0 15.0\n",
      " 1.0 350.0 340.0 331.0 280.0 266.0 185.0 180.0 176.0 120.0 117.0 112.0\n",
      " 105.0 95.0 91.0 91.0 90.0 90.0 90.0 89.0 88.0 87.0 86.0 85.0 85.0 81.0\n",
      " 80.0 70.0 60.0 62.0 65.0 65.0 27.0 20.0 20.0 111.0 165.0 135.0 129.0 121.0\n",
      " 98.0 90.0 91.0 95.0 95.0 91.0 75.0 70.0 70.0 66.0 65.0 60.0 53.0 35.0 35.0\n",
      " 35.0 35.0 33.0 30.0 31.0 40.0 45.0 5.0 8.0 15.0 20.0 25.0 34.0 65.0 95.0\n",
      " 95.0 100.0 126.0 140.0 180.0 185.0 185.0 160.0 175.0 169.0 160.0 155.0\n",
      " 149.0 130.0 118.0 114.0 110.0 110.0 151.0 161.0 195.0 220.0 204.0 187.0\n",
      " 185.0 190.0 210.0 226.0 245.0 263.0 265.0 275.0 267.0 260.0 258.0 250.0\n",
      " 260.0 266.0 270.0 270.0 270.0 270.0 269.0 267.0 262.0 258.0 255.0 255.0\n",
      " 251.0 245.0 250.0 250.0 250.0 255.0 255.0]\n",
      "[90.0 -- 99.0 105.0 90.0 53.0 25.0 20.0 350.0 337.0 330.0 60.0 64.0 65.0\n",
      " 51.0 16.0 345.0 265.0 235.0 217.0 75.0 100.0 105.0 104.0 101.0 100.0 102.0\n",
      " 105.0 105.0 105.0 105.0 102.0 100.0 92.0 90.0 93.0 95.0 95.0 95.0 90.0\n",
      " 80.0 69.0 60.0 61.0 66.0 70.0 56.0 30.0 30.0 25.0 65.0 77.0 82.0 83.0 84.0\n",
      " 85.0 89.0 90.0 86.0 81.0 75.0 72.0 65.0 65.0 65.0 65.0 65.0 60.0 60.0 60.0\n",
      " 55.0 50.0 46.0 40.0 50.0 20.0 7.0 5.0 15.0 30.0 57.0 60.0 65.0 110.0 111.0\n",
      " 145.0 145.0 145.0 150.0 150.0 147.0 140.0 150.0 183.0 200.0 185.0 210.0\n",
      " 248.0 280.0 275.0 275.0 275.0 268.0 251.0 245.0 245.0 245.0 245.0 246.0\n",
      " 248.0 250.0 250.0 252.0 255.0 265.0 264.0 263.0 261.0 260.0 245.0 236.0\n",
      " 235.0 235.0 235.0 240.0 245.0 240.0 238.0 235.0]\n",
      "[-- 75.0 85.0 87.0 91.0 105.0 105.0 95.0 95.0 95.0 95.0 94.0 90.0 65.0 66.0\n",
      " 60.0 30.0 40.0 70.0 115.0 111.0 67.0 60.0 4.0 355.0 326.0 305.0 355.0 34.0\n",
      " 50.0 45.0 45.0 63.0 80.0 83.0 90.0 91.0 92.0 95.0 96.0 100.0 100.0 100.0\n",
      " 92.0 90.0 90.0 95.0 95.0 100.0 100.0 98.0 95.0 95.0 78.0 75.0 70.0 58.0\n",
      " 50.0 46.0 40.0 40.0 42.0 50.0 81.0 110.0 100.0 94.0 87.0 85.0 95.0 95.0\n",
      " 92.0 80.0 85.0 83.0 80.0 77.0 74.0 71.0 67.0 65.0 64.0 63.0 61.0 60.0 64.0\n",
      " 70.0 70.0 70.0 71.0 73.0 74.0 75.0 75.0 75.0 75.0 64.0 60.0 59.0 50.0 35.0\n",
      " 36.0 41.0 44.0 49.0 58.0 75.0 80.0 98.0 105.0 105.0 105.0 114.0 120.0\n",
      " 138.0 145.0 139.0 134.0 130.0 205.0 210.0 215.0 238.0 264.0 265.0 160.0\n",
      " 225.0 243.0 265.0 265.0 262.0 255.0 253.0 251.0 251.0 250.0 250.0 248.0\n",
      " 246.0 245.0 246.0 248.0 248.0 250.0 230.0 230.0 230.0 220.0 225.0 224.0\n",
      " 220.0 215.0 215.0 215.0 220.0 223.0 225.0 205.0]\n",
      "[-- -- 100.0 98.0 83.0 75.0 75.0 48.0 30.0 60.0 60.0 60.0 80.0 76.0 75.0\n",
      " 70.0 85.0 85.0 80.0 85.0 85.0 85.0 85.0 86.0 88.0 90.0 90.0 93.0 95.0\n",
      " 105.0 105.0 102.0 95.0 93.0 81.0 76.0 72.0 45.0 45.0 46.0 54.0 60.0 67.0\n",
      " 130.0 118.0 110.0 103.0 98.0 96.0 85.0 90.0 90.0 90.0 87.0 85.0 80.0 70.0\n",
      " 68.0 60.0 61.0 63.0 65.0 65.0 61.0 60.0 60.0 60.0 60.0 63.0 64.0 66.0 67.0\n",
      " 70.0 69.0 66.0 65.0 77.0 92.0 100.0 138.0 145.0 145.0 145.0 155.0 161.0\n",
      " 171.0 175.0 200.0 207.0 226.0 230.0 220.0 235.0 243.0 245.0 240.0 239.0\n",
      " 230.0 240.0 245.0 250.0 250.0 250.0 250.0 251.0 255.0 255.0 255.0 255.0\n",
      " 255.0 250.0 247.0 245.0 240.0 239.0 225.0 230.0 235.0]\n",
      "[-- 85.0 82.0 81.0 80.0 80.0 84.0 105.0 100.0 99.0 92.0 87.0 85.0 86.0 95.0\n",
      " 95.0 89.0 65.0 55.0 54.0 50.0 36.0 355.0 50.0 83.0 90.0 100.0 99.0 98.0\n",
      " 97.0 95.0 90.0 90.0 82.0 75.0 75.0 75.0 76.0 80.0 75.0 60.0 45.0 43.0 42.0\n",
      " 40.0 40.0 40.0 40.0 40.0 52.0 60.0 63.0 78.0 80.0 80.0 80.0 80.0 80.0 87.0\n",
      " 90.0 91.0 92.0 95.0 145.0 151.0 155.0 155.0 155.0 200.0 201.0 217.0 225.0\n",
      " 225.0 238.0 245.0 250.0 250.0 240.0 245.0 250.0 254.0 255.0 255.0 255.0\n",
      " 246.0 235.0 229.0 220.0 215.0 230.0 243.0 260.0 260.0 256.0 251.0 246.0\n",
      " 245.0 245.0 245.0 245.0 245.0 240.0 240.0 240.0 240.0 237.0 235.0 227.0\n",
      " 225.0 210.0]\n",
      "[-- 85.0 90.0 95.0 87.0 85.0 150.0 105.0 94.0 80.0 90.0 95.0 100.0 92.0\n",
      " 62.0 50.0 50.0 50.0 69.0 86.0 85.0 95.0 96.0 100.0 100.0 90.0 90.0 90.0\n",
      " 90.0 90.0 90.0 90.0 90.0 90.0 90.0 85.0 85.0 88.0 100.0 115.0 120.0 120.0\n",
      " 120.0 111.0 104.0 100.0 80.0 77.0 76.0 75.0 57.0 35.0 20.0 45.0 67.0 75.0\n",
      " 83.0 94.0 105.0 100.0 95.0 95.0 92.0 86.0 80.0 79.0 77.0 76.0 75.0 75.0\n",
      " 75.0 75.0 75.0 75.0 75.0 74.0 70.0 69.0 66.0 61.0 56.0 54.0 51.0 50.0 37.0\n",
      " 35.0 37.0 39.0 40.0 40.0 80.0 80.0 80.0 75.0 67.0 65.0 95.0 155.0 150.0\n",
      " 190.0 215.0 245.0 244.0 240.0 240.0 275.0 271.0 265.0 260.0 240.0 239.0\n",
      " 230.0 232.0 235.0 232.0 230.0 234.0 235.0 230.0 230.0 230.0 230.0 230.0\n",
      " 230.0 227.0 225.0 220.0 220.0 222.0 225.0 220.0 220.0 180.0 155.0]\n",
      "[-- 85.0 84.0 70.0 75.0 72.0 75.0 50.0 51.0 55.0 38.0 30.0 55.0 60.0 70.0\n",
      " 20.0 29.0 25.0 93.0 134.0 154.0 195.0 100.0 95.0 96.0 110.0 80.0 55.0 54.0\n",
      " 51.0 50.0 59.0 75.0 80.0 90.0 70.0 70.0 74.0 90.0 85.0 89.0 90.0 90.0 90.0\n",
      " 90.0 90.0 90.0 90.0 90.0 70.0 75.0 111.0 118.0 130.0 140.0 100.0 96.0 90.0\n",
      " 90.0 91.0 95.0 94.0 93.0 92.0 91.0 90.0 90.0 84.0 81.0 80.0 80.0 80.0 75.0\n",
      " 70.0 66.0 65.0 55.0 53.0 51.0 45.0 45.0 45.0 45.0 45.0 45.0 46.0 50.0 55.0\n",
      " 60.0 60.0 65.0 73.0 75.0 79.0 85.0 89.0 95.0 101.0 130.0 130.0 200.0 235.0\n",
      " 235.0 241.0 245.0 250.0 250.0 250.0 250.0 225.0 227.0 230.0 230.0 234.0\n",
      " 235.0 235.0 240.0 245.0 249.0 250.0 250.0 250.0 245.0 240.0 235.0 234.0\n",
      " 231.0 230.0 230.0 230.0 220.0 221.0 225.0 238.0 240.0 245.0]\n",
      "[-- 85.0 109.0 120.0 120.0 85.0 95.0 40.0 49.0 106.0 125.0 95.0 92.0 75.0\n",
      " 69.0 65.0 59.0 50.0 3.0 330.0 50.0 56.0 110.0 80.0 82.0 77.0 75.0 75.0\n",
      " 95.0 55.0 55.0 55.0 50.0 45.0 95.0 95.0 93.0 90.0 87.0 85.0 80.0 80.0 83.0\n",
      " 85.0 87.0 89.0 90.0 90.0 90.0 90.0 90.0 81.0 74.0 65.0 70.0 80.0 86.0\n",
      " 106.0 110.0 95.0 155.0 95.0 98.0 100.0 125.0 124.0 111.0 108.0 106.0 99.0\n",
      " 97.0 90.0 81.0 75.0 75.0 71.0 70.0 70.0 70.0 70.0 60.0 56.0 55.0 55.0 55.0\n",
      " 55.0 55.0 57.0 60.0 65.0 66.0 67.0 68.0 70.0 65.0 70.0 73.0 74.0 75.0 75.0\n",
      " 70.0 56.0 50.0 55.0 59.0 63.0 75.0 75.0 81.0 86.0 90.0 84.0 81.0 75.0 80.0\n",
      " 150.0 167.0 210.0 245.0 239.0 235.0 230.0 230.0 195.0 208.0 220.0 233.0\n",
      " 250.0 250.0 250.0 250.0 248.0 245.0 242.0 240.0 242.0 245.0 253.0 260.0\n",
      " 255.0 256.0 260.0 248.0 245.0 242.0 240.0 239.0 235.0 229.0 225.0 225.0\n",
      " 200.0 180.0]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/zanemartin/anaconda/lib/python3.6/site-packages/ipykernel/__main__.py:8: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n",
      "Check the NumPy 1.11 release notes for more information.\n",
      "/Users/zanemartin/anaconda/lib/python3.6/site-packages/ipykernel/__main__.py:9: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n",
      "Check the NumPy 1.11 release notes for more information.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-- 250.0 95.0 90.0 81.0 72.0 65.0 68.0 91.0 95.0 124.0 170.0 145.0 90.0\n",
      " 85.0 74.0 75.0 56.0 50.0 63.0 75.0 70.0 100.0 95.0 110.0 115.0 110.0 102.0\n",
      " 100.0 90.0 90.0 90.0 90.0 89.0 81.0 80.0 81.0 82.0 84.0 85.0 82.0 80.0\n",
      " 80.0 80.0 82.0 85.0 70.0 45.0 5.0 5.0 36.0 70.0 75.0 83.0 90.0 80.0 118.0\n",
      " 120.0 90.0 90.0 89.0 88.0 86.0 85.0 83.0 80.0 80.0 80.0 80.0 75.0 80.0\n",
      " 80.0 80.0 80.0 71.0 68.0 66.0 65.0 65.0 60.0 60.0 56.0 50.0 54.0 62.0 65.0\n",
      " 65.0 65.0 65.0 75.0 80.0 101.0 115.0 135.0 135.0 162.0 165.0 250.0 248.0\n",
      " 228.0 220.0 220.0 211.0 195.0 200.0 204.0 215.0 240.0 240.0 235.0 240.0\n",
      " 238.0 230.0 220.0 225.0 227.0 231.0 233.0 235.0 243.0 245.0 245.0 248.0\n",
      " 250.0 250.0 250.0 245.0 240.0 239.0 238.0 235.0 234.0 231.0 230.0 230.0\n",
      " 225.0 220.0 215.0 195.0 192.0 180.0]\n",
      "[-- 110.0 101.0 100.0 144.0 233.0 235.0 215.0 160.0 155.0 90.0 78.0 75.0\n",
      " 150.0 202.0 235.0 240.0 145.0 150.0 104.0 81.0 70.0 70.0 66.0 60.0 59.0\n",
      " 51.0 45.0 61.0 80.0 130.0 127.0 118.0 110.0 106.0 102.0 100.0 100.0 100.0\n",
      " 95.0 94.0 93.0 92.0 91.0 90.0 86.0 75.0 75.0 78.0 80.0 84.0 85.0 90.0 89.0\n",
      " 83.0 65.0 20.0 50.0 85.0 87.0 90.0 80.0 85.0 81.0 80.0 80.0 76.0 72.0 70.0\n",
      " 70.0 70.0 70.0 70.0 70.0 70.0 70.0 66.0 64.0 60.0 59.0 55.0 55.0 55.0 55.0\n",
      " 55.0 55.0 55.0 55.0 55.0 55.0 59.0 64.0 67.0 74.0 75.0 80.0 79.0 75.0 71.0\n",
      " 70.0 82.0 91.0 97.0 104.0 109.0 110.0 115.0 120.0 120.0 130.0 151.0 198.0\n",
      " 226.0 250.0 240.0 223.0 200.0 200.0 200.0 200.0 220.0 229.0 250.0 247.0\n",
      " 240.0 238.0 235.0 231.0 230.0 230.0 231.0 233.0 234.0 235.0 235.0 242.0\n",
      " 245.0 245.0 245.0 260.0 260.0 244.0 240.0 236.0 220.0 226.0 230.0 230.0\n",
      " 225.0 221.0 220.0 205.0 203.0 195.0 195.0 190.0]\n",
      "[-- 70.0 66.0 60.0 44.0 55.0 40.0 95.0 90.0 90.0 69.0 60.0 55.0 15.0 315.0\n",
      " 296.0 260.0 204.0 90.0 97.0 70.0 54.0 0.0 299.0 300.0 291.0 263.0 265.0\n",
      " 189.0 85.0 85.0 85.0 71.0 45.0 48.0 70.0 96.0 115.0 110.0 108.0 105.0\n",
      " 105.0 105.0 105.0 105.0 99.0 94.0 86.0 85.0 86.0 90.0 82.0 65.0 65.0 50.0\n",
      " 51.0 85.0 87.0 95.0 85.0 80.0 73.0 69.0 63.0 61.0 60.0 70.0 79.0 85.0 81.0\n",
      " 80.0 80.0 75.0 65.0 64.0 60.0 59.0 55.0 55.0 55.0 55.0 55.0 55.0 55.0 55.0\n",
      " 55.0 55.0 55.0 56.0 58.0 62.0 67.0 70.0 70.0 75.0 76.0 78.0 83.0 84.0 90.0\n",
      " 88.0 83.0 80.0 116.0 138.0 150.0 160.0 220.0 209.0 201.0 180.0 183.0 191.0\n",
      " 196.0 200.0 200.0 200.0 195.0 210.0 235.0 240.0 265.0 265.0 260.0 259.0\n",
      " 240.0 241.0 242.0 245.0 250.0 249.0 241.0 240.0 240.0 238.0 237.0 235.0\n",
      " 235.0 234.0 233.0 230.0 232.0 235.0 237.0 239.0 240.0 235.0 230.0 225.0\n",
      " 230.0 226.0 225.0 225.0 185.0 191.0 195.0 200.0]\n",
      "[-- -- 45.0 326.0 230.0 233.0 175.0 175.0 175.0 135.0 110.0 91.0 70.0 21.0\n",
      " 315.0 306.0 230.0 210.0 245.0 215.0 205.0 167.0 140.0 120.0 110.0 90.0\n",
      " 88.0 78.0 75.0 40.0 30.0 20.0 30.0 55.0 57.0 80.0 90.0 90.0 90.0 93.0 95.0\n",
      " 95.0 95.0 93.0 90.0 85.0 84.0 82.0 82.0 80.0 83.0 85.0 101.0 105.0 100.0\n",
      " 90.0 77.0 70.0 72.0 77.0 85.0 85.0 90.0 90.0 90.0 89.0 89.0 87.0 85.0 83.0\n",
      " 80.0 80.0 65.0 65.0 55.0 55.0 55.0 55.0 55.0 55.0 57.0 58.0 60.0 60.0 75.0\n",
      " 75.0 76.0 82.0 90.0 91.0 92.0 93.0 95.0 72.0 29.0 20.0 70.0 80.0 138.0\n",
      " 165.0 178.0 200.0 184.0 180.0 176.0 170.0 179.0 180.0 225.0 235.0 240.0\n",
      " 251.0 265.0 256.0 255.0 245.0 250.0 253.0 255.0 251.0 247.0 242.0 240.0\n",
      " 238.0 236.0 235.0 237.0 239.0 240.0 231.0 230.0 230.0 230.0 230.0 229.0\n",
      " 225.0 225.0 222.0 219.0 215.0 215.0 217.0 220.0 220.0 219.0 215.0 215.0\n",
      " 212.0 207.0 200.0 170.0 150.0]\n",
      "[-- 100.0 90.0 87.0 85.0 85.0 77.0 66.0 65.0 75.0 77.0 90.0 90.0 90.0 120.0\n",
      " 130.0 112.0 100.0 100.0 84.0 85.0 345.0 270.0 256.0 240.0 285.0 40.0 95.0\n",
      " 65.0 50.0 350.0 5.0 16.0 140.0 140.0 140.0 105.0 100.0 100.0 100.0 100.0\n",
      " 71.0 65.0 60.0 56.0 55.0 75.0 86.0 95.0 90.0 89.0 85.0 85.0 85.0 90.0 90.0\n",
      " 93.0 95.0 95.0 88.0 85.0 75.0 67.0 57.0 55.0 65.0 83.0 85.0 70.0 70.0 73.0\n",
      " 81.0 83.0 89.0 90.0 88.0 85.0 80.0 80.0 80.0 77.0 76.0 74.0 70.0 70.0 70.0\n",
      " 70.0 70.0 62.0 54.0 51.0 50.0 50.0 50.0 50.0 50.0 50.0 53.0 55.0 55.0 58.0\n",
      " 63.0 65.0 77.0 80.0 79.0 75.0 75.0 75.0 87.0 97.0 110.0 101.0 95.0 100.0\n",
      " 125.0 225.0 221.0 189.0 185.0 180.0 180.0 184.0 206.0 253.0 255.0 258.0\n",
      " 260.0 259.0 255.0 252.0 251.0 250.0 250.0 248.0 247.0 247.0 246.0 246.0\n",
      " 245.0 245.0 245.0 245.0 245.0 245.0 244.0 241.0 240.0 240.0 240.0 240.0\n",
      " 240.0 240.0 243.0 244.0 245.0 245.0 243.0 240.0 239.0 230.0 228.0 225.0\n",
      " 225.0 222.0 220.0 215.0 215.0]\n",
      "[-- 65.0 85.0 80.0 72.0 67.0 65.0 70.0 355.0 259.0 260.0 192.0 169.0 165.0\n",
      " 141.0 50.0 15.0 0.0 1.0 52.0 100.0 93.0 103.0 104.0 105.0 112.0 120.0 75.0\n",
      " 74.0 68.0 65.0 65.0 65.0 65.0 85.0 87.0 90.0 90.0 90.0 91.0 95.0 95.0 95.0\n",
      " 95.0 95.0 95.0 95.0 94.0 90.0 87.0 85.0 90.0 70.0 68.0 62.0 60.0 70.0 85.0\n",
      " 78.0 45.0 58.0 65.0 72.0 80.0 79.0 79.0 78.0 77.0 76.0 75.0 80.0 75.0 72.0\n",
      " 71.0 70.0 70.0 70.0 70.0 70.0 70.0 68.0 67.0 66.0 66.0 65.0 70.0 70.0 66.0\n",
      " 62.0 60.0 55.0 55.0 61.0 65.0 75.0 74.0 73.0 70.0 74.0 87.0 89.0 92.0 95.0\n",
      " 95.0 95.0 95.0 65.0 60.0 60.0 13.0 5.0 352.0 315.0 295.0 150.0 212.0 249.0\n",
      " 275.0 271.0 260.0 250.0 252.0 254.0 258.0 260.0 260.0 260.0 260.0 258.0\n",
      " 255.0 252.0 245.0 245.0 245.0 245.0 245.0 241.0 240.0 237.0 235.0 233.0\n",
      " 231.0 225.0 225.0 225.0 222.0 210.0 210.0 205.0 205.0 203.0 200.0 200.0\n",
      " 205.0 200.0 185.0 175.0 170.0]\n",
      "[-- 85.0 55.0 55.0 55.0 80.0 75.0 75.0 75.0 45.0 43.0 30.0 355.0 355.0\n",
      " 342.0 320.0 260.0 236.0 200.0 174.0 105.0 95.0 97.0 108.0 110.0 15.0 15.0\n",
      " 5.0 95.0 106.0 124.0 125.0 105.0 85.0 85.0 85.0 88.0 103.0 105.0 100.0\n",
      " 99.0 91.0 90.0 90.0 85.0 85.0 85.0 85.0 86.0 87.0 90.0 93.0 94.0 95.0 95.0\n",
      " 110.0 101.0 91.0 90.0 94.0 100.0 100.0 100.0 60.0 56.0 45.0 43.0 40.0 44.0\n",
      " 53.0 85.0 90.0 85.0 82.0 80.0 77.0 75.0 75.0 75.0 73.0 70.0 68.0 65.0 65.0\n",
      " 61.0 60.0 64.0 66.0 69.0 70.0 72.0 76.0 80.0 81.0 82.0 85.0 84.0 82.0 81.0\n",
      " 80.0 75.0 80.0 80.0 75.0 70.0 69.0 65.0 70.0 70.0 70.0 75.0 65.0 50.0 40.0\n",
      " 30.0 12.0 9.0 4.0 0.0 32.0 121.0 165.0 0.0 341.0 277.0 270.0 262.0 255.0\n",
      " 248.0 245.0 240.0 236.0 235.0 237.0 238.0 239.0 245.0 245.0 250.0 248.0\n",
      " 246.0 245.0 244.0 241.0 240.0 240.0 240.0 240.0 240.0 240.0 237.0 235.0\n",
      " 224.0 220.0 220.0 220.0 220.0 220.0 215.0 215.0 220.0 220.0 220.0 220.0\n",
      " 230.0]\n",
      "[-- 75.0 105.0 107.0 112.0 115.0 90.0 85.0 75.0 37.0 15.0 339.0 320.0 310.0\n",
      " 305.0 275.0 155.0 119.0 90.0 87.0 76.0 75.0 79.0 91.0 101.0 100.0 110.0\n",
      " 104.0 97.0 80.0 75.0 75.0 70.0 70.0 75.0 80.0 90.0 90.0 85.0 85.0 87.0\n",
      " 105.0 98.0 95.0 90.0 90.0 90.0 90.0 90.0 76.0 75.0 80.0 87.0 93.0 95.0\n",
      " 90.0 77.0 75.0 55.0 73.0 80.0 86.0 100.0 82.0 76.0 75.0 75.0 76.0 77.0\n",
      " 80.0 74.0 70.0 65.0 65.0 76.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 82.0 81.0\n",
      " 80.0 76.0 72.0 70.0 75.0 76.0 79.0 80.0 80.0 80.0 80.0 80.0 80.0 80.0 80.0\n",
      " 80.0 80.0 80.0 75.0 78.0 85.0 82.0 75.0 65.0 74.0 75.0 69.0 65.0 108.0\n",
      " 140.0 180.0 170.0 222.0 238.0 258.0 274.0 280.0 280.0 284.0 290.0 262.0\n",
      " 255.0 255.0 255.0 262.0 265.0 260.0 256.0 254.0 245.0 246.0 250.0 245.0\n",
      " 245.0 245.0 244.0 240.0 234.0 226.0 225.0 210.0 200.0 200.0 200.0 200.0\n",
      " 200.0 200.0 200.0 200.0 199.0 195.0 190.0 180.0 175.0]\n",
      "[125.0 -- 122.0 111.0 110.0 110.0 105.0 110.0 85.0 89.0 100.0 125.0 138.0\n",
      " 145.0 145.0 145.0 136.0 135.0 100.0 90.0 94.0 75.0 86.0 90.0 35.0 29.0\n",
      " 20.0 115.0 130.0 65.0 52.0 35.0 80.0 125.0 103.0 100.0 90.0 90.0 94.0 95.0\n",
      " 97.0 98.0 100.0 95.0 94.0 92.0 85.0 85.0 85.0 85.0 85.0 85.0 99.0 100.0\n",
      " 100.0 97.0 89.0 85.0 88.0 95.0 75.0 75.0 80.0 81.0 82.0 85.0 71.0 56.0\n",
      " 50.0 163.0 230.0 335.0 135.0 109.0 102.0 100.0 85.0 82.0 78.0 70.0 70.0\n",
      " 69.0 65.0 65.0 65.0 66.0 67.0 69.0 73.0 75.0 75.0 79.0 93.0 95.0 95.0\n",
      " 100.0 90.0 87.0 85.0 78.0 75.0 75.0 71.0 53.0 45.0 46.0 60.0 160.0 210.0\n",
      " 217.0 233.0 270.0 266.0 255.0 242.0 235.0 237.0 241.0 248.0 257.0 265.0\n",
      " 266.0 269.0 270.0 269.0 260.0 260.0 260.0 250.0 250.0 255.0 255.0 245.0\n",
      " 236.0 235.0 226.0 223.0 220.0 210.0 200.0 200.0 198.0 190.0 193.0 195.0\n",
      " 190.0 185.0]\n",
      "[-- 95.0 48.0 0.0 20.0 75.0 80.0 85.0 80.0 70.0 75.0 75.0 71.0 66.0 65.0\n",
      " 68.0 81.0 126.0 140.0 139.0 135.0 126.0 90.0 75.0 84.0 100.0 114.0 122.0\n",
      " 135.0 115.0 90.0 90.0 94.0 96.0 98.0 100.0 100.0 100.0 99.0 85.0 85.0 84.0\n",
      " 81.0 80.0 88.0 91.0 95.0 95.0 101.0 109.0 110.0 103.0 95.0 83.0 78.0 75.0\n",
      " 80.0 87.0 90.0 62.0 40.0 40.0 40.0 15.0 333.0 335.0 190.0 135.0 129.0\n",
      " 123.0 102.0 86.0 72.0 65.0 63.0 60.0 60.0 60.0 60.0 60.0 60.0 60.0 60.0\n",
      " 60.0 60.0 64.0 67.0 74.0 76.0 80.0 82.0 83.0 85.0 95.0 99.0 105.0 105.0\n",
      " 82.0 65.0 75.0 162.0 195.0 198.0 209.0 216.0 219.0 220.0 229.0 237.0 249.0\n",
      " 268.0 275.0 264.0 255.0 255.0 253.0 251.0 250.0 247.0 245.0 245.0 245.0\n",
      " 245.0 244.0 242.0 240.0 240.0 240.0 240.0 240.0 237.0 235.0 215.0 213.0\n",
      " 205.0 201.0 200.0 204.0 205.0 190.0 170.0]\n",
      "[160.0 151.0 139.0 127.0 107.0 80.0 71.0 70.0 65.0 65.0 63.0 60.0 60.0 60.0\n",
      " 60.0 59.0 57.0 56.0 55.0 59.0 60.0 65.0 67.0 70.0 80.0 80.0 81.0 82.0 85.0\n",
      " 85.0 85.0 100.0 108.0 115.0 140.0 145.0 115.0 105.0 105.0 105.0 80.0 102.0\n",
      " 105.0 105.0 105.0 105.0 105.0 105.0 148.0 150.0 174.0 185.0 190.0 198.0\n",
      " 224.0 256.0 265.0 261.0 255.0 255.0 244.0 240.0 235.0 235.0 235.0 235.0\n",
      " 240.0 239.0 238.0 237.0 235.0 234.0 230.0 230.0 230.0 227.0 225.0 235.0\n",
      " 235.0 232.0 215.0 186.0 175.0 155.0]\n",
      "[-- 100.0 101.0 103.0 105.0 112.0 120.0 40.0 36.0 30.0 50.0 69.0 95.0 109.0\n",
      " 130.0 130.0 124.0 115.0 103.0 100.0 78.0 55.0 30.0 339.0 235.0 242.0 5.0\n",
      " 50.0 60.0 51.0 50.0 61.0 70.0 130.0 125.0 112.0 104.0 100.0 85.0 85.0 85.0\n",
      " 85.0 85.0 85.0 85.0 80.0 81.0 83.0 83.0 84.0 85.0 88.0 90.0 95.0 95.0 95.0\n",
      " 103.0 110.0 105.0 95.0 90.0 87.0 85.0 90.0 65.0 58.0 45.0 13.0 335.0 340.0\n",
      " 120.0 105.0 90.0 88.0 82.0 80.0 73.0 70.0 65.0 65.0 55.0 55.0 55.0 55.0\n",
      " 55.0 55.0 55.0 55.0 55.0 65.0 70.0 75.0 76.0 85.0 89.0 90.0 95.0 102.0\n",
      " 115.0 123.0 125.0 122.0 115.0 118.0 120.0 125.0 133.0 144.0 150.0 150.0\n",
      " 155.0 155.0 141.0 134.0 95.0 97.0 100.0 100.0 95.0 95.0 100.0 156.0 165.0\n",
      " 165.0 201.0 217.0 252.0 270.0 300.0 296.0 290.0 290.0 280.0 273.0 270.0\n",
      " 269.0 264.0 254.0 245.0 238.0 235.0 237.0 240.0 239.0 236.0 235.0 230.0\n",
      " 230.0 230.0 226.0 222.0 220.0 220.0 223.0 225.0 213.0 205.0 180.0 165.0]\n",
      "[-- 125.0 125.0 125.0 105.0 110.0 92.0 95.0 70.0 60.0 25.0 252.0 235.0\n",
      " 187.0 170.0 135.0 105.0 105.0 105.0 110.0 135.0 99.0 100.0 92.0 26.0 0.0\n",
      " 105.0 99.0 70.0 52.0 20.0 50.0 130.0 120.0 118.0 100.0 95.0 91.0 85.0 85.0\n",
      " 85.0 75.0 75.0 77.0 78.0 80.0 80.0 100.0 95.0 97.0 104.0 105.0 90.0 91.0\n",
      " 105.0 103.0 92.0 89.0 85.0 80.0 80.0 90.0 74.0 66.0 65.0 39.0 31.0 20.0\n",
      " 25.0 95.0 113.0 124.0 145.0 101.0 90.0 78.0 60.0 60.0 60.0 60.0 54.0 50.0\n",
      " 50.0 50.0 64.0 69.0 70.0 72.0 75.0 85.0 87.0 90.0 89.0 85.0 87.0 110.0\n",
      " 112.0 113.0 115.0 117.0 126.0 130.0 130.0 127.0 122.0 110.0 99.0 90.0\n",
      " 106.0 115.0 115.0 114.0 111.0 106.0 105.0 105.0 185.0 215.0 268.0 285.0\n",
      " 289.0 290.0 292.0 294.0 295.0 294.0 287.0 279.0 272.0 270.0 270.0 270.0\n",
      " 270.0 270.0 270.0 270.0 270.0 270.0 266.0 265.0 260.0 238.0 235.0 230.0\n",
      " 205.0 198.0 195.0 195.0 195.0 199.0 200.0 195.0 185.0]\n",
      "[-- 120.0 128.0 135.0 130.0 99.0 89.0 70.0 151.0 165.0 191.0 225.0 208.0\n",
      " 190.0 155.0 140.0 120.0 115.0 108.0 95.0 93.0 83.0 75.0 57.0 55.0 100.0\n",
      " 87.0 65.0 55.0 55.0 65.0 81.0 85.0 75.0 115.0 111.0 100.0 100.0 100.0\n",
      " 100.0 100.0 100.0 95.0 80.0 80.0 79.0 78.0 73.0 70.0 74.0 75.0 102.0 105.0\n",
      " 106.0 107.0 109.0 110.0 106.0 100.0 93.0 90.0 95.0 100.0 82.0 75.0 73.0\n",
      " 68.0 64.0 35.0 30.0 45.0 125.0 131.0 145.0 95.0 85.0 60.0 60.0 60.0 50.0\n",
      " 45.0 45.0 46.0 50.0 50.0 51.0 53.0 55.0 57.0 60.0 60.0 65.0 72.0 75.0 80.0\n",
      " 80.0 80.0 80.0 103.0 116.0 121.0 125.0 120.0 115.0 144.0 160.0 156.0 148.0\n",
      " 138.0 130.0 116.0 115.0 110.0 110.0 110.0 110.0 110.0 110.0 110.0 202.0\n",
      " 250.0 251.0 268.0 290.0 289.0 283.0 274.0 270.0 265.0 245.0 255.0 260.0\n",
      " 275.0 272.0 270.0 265.0 253.0 250.0 249.0 230.0 229.0 210.0 206.0 205.0\n",
      " 205.0 204.0 195.0 190.0 189.0 185.0]\n",
      "[-- 100.0 100.0 97.0 95.0 95.0 104.0 105.0 145.0 96.0 70.0 95.0 183.0 235.0\n",
      " 5.0 10.0 25.0 40.0 43.0 52.0 50.0 70.0 95.0 93.0 89.0 85.0 55.0 53.0 32.0\n",
      " 20.0 313.0 285.0 265.0 208.0 115.0 107.0 103.0 96.0 95.0 95.0 95.0 96.0\n",
      " 100.0 99.0 95.0 95.0 92.0 90.0 88.0 85.0 71.0 70.0 80.0 88.0 90.0 105.0\n",
      " 101.0 100.0 100.0 100.0 100.0 95.0 89.0 84.0 82.0 75.0 75.0 66.0 60.0 55.0\n",
      " 65.0 66.0 70.0 70.0 68.0 62.0 60.0 55.0 53.0 50.0 42.0 40.0 40.0 43.0 45.0\n",
      " 47.0 52.0 59.0 65.0 66.0 70.0 72.0 75.0 80.0 90.0 90.0 90.0 91.0 95.0\n",
      " 103.0 105.0 109.0 113.0 115.0 117.0 119.0 120.0 141.0 155.0 176.0 180.0\n",
      " 180.0 191.0 214.0 225.0 231.0 237.0 250.0 243.0 220.0 153.0 120.0 114.0\n",
      " 110.0 62.0 355.0 340.0 329.0 326.0 316.0 309.0 304.0 301.0 296.0 295.0\n",
      " 277.0 275.0 275.0 275.0 267.0 264.0 260.0 260.0 262.0 270.0 270.0 268.0\n",
      " 260.0 260.0 254.0 245.0 235.0 230.0 240.0 226.0 220.0 215.0 197.0 190.0\n",
      " 185.0]\n",
      "[-- 110.0 123.0 131.0 156.0 180.0 163.0 147.0 125.0 119.0 90.0 51.0 31.0\n",
      " 340.0 330.0 5.0 25.0 70.0 65.0 81.0 88.0 90.0 55.0 60.0 65.0 75.0 95.0\n",
      " 120.0 120.0 97.0 93.0 87.0 80.0 80.0 80.0 80.0 80.0 80.0 85.0 95.0 95.0\n",
      " 95.0 94.0 91.0 90.0 90.0 85.0 85.0 89.0 90.0 99.0 105.0 105.0 95.0 95.0\n",
      " 90.0 94.0 100.0 86.0 85.0 88.0 89.0 91.0 94.0 96.0 98.0 100.0 125.0 125.0\n",
      " 125.0 80.0 80.0 80.0 75.0 68.0 55.0 50.0 50.0 50.0 50.0 50.0 54.0 55.0\n",
      " 56.0 60.0 61.0 64.0 65.0 66.0 67.0 69.0 70.0 70.0 76.0 79.0 82.0 84.0 89.0\n",
      " 97.0 99.0 100.0 103.0 110.0 110.0 110.0 110.0 124.0 135.0 130.0 128.0\n",
      " 120.0 125.0 125.0 125.0 130.0 118.0 108.0 4.0 350.0 95.0 85.0 90.0 100.0\n",
      " 91.0 83.0 66.0 65.0 41.0 358.0 300.0 297.0 293.0 290.0 289.0 287.0 285.0\n",
      " 285.0 288.0 290.0 290.0 290.0 290.0 282.0 280.0 275.0 274.0 263.0 260.0\n",
      " 240.0 230.0 225.0 220.0 220.0 226.0 230.0 195.0 170.0]\n",
      "[-- -- 115.0 104.0 89.0 75.0 60.0 0.0 117.0 150.0 185.0 240.0 135.0 121.0\n",
      " 63.0 50.0 50.0 49.0 45.0 110.0 93.0 85.0 84.0 80.0 80.0 78.0 70.0 68.0\n",
      " 66.0 65.0 65.0 105.0 120.0 113.0 110.0 70.0 70.0 70.0 70.0 80.0 92.0 105.0\n",
      " 105.0 105.0 96.0 95.0 96.0 100.0 99.0 96.0 90.0 85.0 78.0 72.0 70.0 68.0\n",
      " 65.0 75.0 98.0 100.0 60.0 62.0 65.0 67.0 70.0 75.0 105.0 112.0 115.0 95.0\n",
      " 95.0 65.0 65.0 65.0 55.0 55.0 55.0 53.0 51.0 50.0 49.0 47.0 45.0 45.0 51.0\n",
      " 54.0 61.0 65.0 67.0 75.0 95.0 95.0 95.0 95.0 95.0 120.0 122.0 134.0 140.0\n",
      " 139.0 123.0 117.0 113.0 99.0 87.0 85.0 70.0 69.0 67.0 66.0 65.0 65.0 65.0\n",
      " 65.0 85.0 100.0 103.0 111.0 115.0 91.0 55.0 43.0 25.0 18.0 6.0 346.0 300.0\n",
      " 300.0 300.0 300.0 300.0 300.0 300.0 300.0 299.0 296.0 295.0 293.0 290.0\n",
      " 280.0 279.0 275.0 275.0 265.0 264.0 261.0 257.0 255.0 238.0 235.0 230.0\n",
      " 230.0 230.0 235.0 235.0 235.0 230.0]\n",
      "[-- 70.0 60.0 65.0 90.0 81.0 80.0 105.0 105.0 130.0 0.0 38.0 45.0 50.0 26.0\n",
      " 10.0 320.0 304.0 165.0 115.0 60.0 75.0 185.0 144.0 130.0 123.0 110.0 98.0\n",
      " 95.0 98.0 100.0 102.0 130.0 129.0 125.0 140.0 102.0 86.0 80.0 77.0 75.0\n",
      " 75.0 80.0 80.0 85.0 88.0 92.0 94.0 95.0 95.0 95.0 100.0 102.0 105.0 98.0\n",
      " 93.0 90.0 88.0 84.0 82.0 75.0 68.0 65.0 71.0 75.0 95.0 75.0 66.0 65.0 42.0\n",
      " 30.0 53.0 86.0 120.0 120.0 125.0 120.0 115.0 103.0 99.0 87.0 85.0 80.0\n",
      " 71.0 57.0 51.0 45.0 45.0 40.0 42.0 45.0 45.0 56.0 62.0 70.0 77.0 85.0 95.0\n",
      " 105.0 111.0 119.0 125.0 132.0 138.0 142.0 147.0 150.0 137.0 130.0 130.0\n",
      " 125.0 97.0 90.0 87.0 85.0 95.0 105.0 88.0 80.0 71.0 19.0 10.0 0.0 360.0\n",
      " 351.0 340.0 336.0 334.0 329.0 325.0 330.0 327.0 323.0 300.0 294.0 287.0\n",
      " 285.0 279.0 275.0 275.0 270.0 269.0 266.0 265.0 235.0 225.0 217.0 210.0\n",
      " 210.0 210.0 195.0 191.0 190.0]\n",
      "[-- 45.0 58.0 60.0 65.0 70.0 84.0 85.0 50.0 85.0 70.0 77.0 85.0 75.0 70.0\n",
      " 50.0 341.0 325.0 333.0 350.0 357.0 36.0 45.0 80.0 120.0 120.0 116.0 115.0\n",
      " 110.0 100.0 99.0 90.0 72.0 65.0 65.0 86.0 100.0 18.0 0.0 18.0 59.0 72.0\n",
      " 90.0 90.0 90.0 90.0 90.0 90.0 85.0 93.0 95.0 93.0 92.0 90.0 98.0 100.0\n",
      " 91.0 90.0 90.0 90.0 90.0 90.0 90.0 90.0 90.0 81.0 70.0 75.0 85.0 85.0\n",
      " 125.0 124.0 116.0 103.0 87.0 80.0 73.0 60.0 35.0 30.0 50.0 64.0 65.0 100.0\n",
      " 94.0 85.0 74.0 65.0 68.0 82.0 90.0 89.0 81.0 80.0 60.0 55.0 40.0 39.0 37.0\n",
      " 35.0 37.0 50.0 51.0 53.0 55.0 55.0 59.0 65.0 70.0 81.0 85.0 95.0 103.0\n",
      " 107.0 117.0 121.0 123.0 132.0 135.0 135.0 133.0 130.0 127.0 125.0 112.0\n",
      " 93.0 77.0 75.0 137.0 145.0 143.0 142.0 140.0 140.0 140.0 140.0 140.0 140.0\n",
      " 140.0 140.0 140.0 171.0 253.0 260.0 315.0 320.0 320.0 320.0 311.0 301.0\n",
      " 300.0 300.0 300.0 300.0 302.0 303.0 305.0 305.0 302.0 300.0 295.0 290.0\n",
      " 284.0 276.0 275.0 274.0 273.0 267.0 266.0 265.0 264.0 264.0 262.0 262.0\n",
      " 261.0 260.0 257.0 241.0 240.0 230.0 210.0 197.0 190.0 190.0]\n",
      "[-- -- 350.0 96.0 95.0 105.0 134.0 142.0 145.0 140.0 114.0 95.0 95.0 75.0\n",
      " 100.0 95.0 95.0 87.0 65.0 70.0 69.0 64.0 60.0 63.0 80.0 84.0 85.0 95.0\n",
      " 95.0 87.0 85.0 85.0 85.0 85.0 95.0 93.0 90.0 92.0 95.0 90.0 96.0 98.0\n",
      " 100.0 96.0 80.0 80.0 85.0 85.0 85.0 65.0 73.0 75.0 97.0 115.0 100.0 99.0\n",
      " 65.0 60.0 85.0 91.0 95.0 66.0 60.0 71.0 85.0 75.0 63.0 55.0 51.0 50.0 50.0\n",
      " 50.0 50.0 50.0 50.0 50.0 55.0 55.0 56.0 56.0 57.0 59.0 59.0 60.0 63.0 69.0\n",
      " 70.0 74.0 82.0 89.0 90.0 76.0 70.0 76.0 86.0 94.0 95.0 90.0 78.0 75.0 68.0\n",
      " 53.0 25.0 29.0 35.0 35.0 36.0 37.0 40.0 68.0 75.0 79.0 85.0 100.0 69.0\n",
      " 20.0 15.0 335.0 325.0 305.0 305.0 295.0 292.0 290.0 300.0 300.0 298.0\n",
      " 291.0 290.0 290.0 292.0 295.0 293.0 268.0 265.0 266.0 267.0 271.0 273.0\n",
      " 274.0 275.0 275.0 275.0 275.0 272.0 268.0 265.0 259.0 252.0 250.0 248.0\n",
      " 245.0 243.0 240.0 235.0]\n",
      "[-- 40.0 66.0 100.0 150.0 150.0 150.0 138.0 130.0 108.0 91.0 82.0 60.0\n",
      " 110.0 145.0 190.0 160.0 155.0 120.0 112.0 90.0 90.0 85.0 75.0 75.0 83.0\n",
      " 85.0 85.0 85.0 85.0 89.0 90.0 89.0 85.0 85.0 90.0 99.0 100.0 92.0 90.0\n",
      " 90.0 90.0 90.0 100.0 110.0 93.0 85.0 110.0 100.0 97.0 90.0 90.0 65.0 72.0\n",
      " 80.0 91.0 95.0 73.0 60.0 65.0 65.0 55.0 54.0 50.0 45.0 42.0 35.0 35.0 40.0\n",
      " 44.0 45.0 47.0 48.0 50.0 50.0 52.0 53.0 54.0 55.0 55.0 40.0 52.0 60.0 60.0\n",
      " 60.0 41.0 356.0 355.0 0.0 75.0 80.0 83.0 102.0 105.0 123.0 130.0 166.0\n",
      " 183.0 198.0 235.0 239.0 249.0 258.0 265.0 278.0 305.0 295.0 295.0 295.0\n",
      " 295.0 295.0 295.0 290.0 289.0 280.0 275.0 271.0 270.0 270.0 261.0 260.0\n",
      " 259.0 255.0 250.0 240.0 230.0 211.0 170.0 115.0]\n",
      "[-- 225.0 226.0 229.0 232.0 235.0 229.0 190.0 136.0 110.0 120.0 92.0 85.0\n",
      " 86.0 89.0 90.0 85.0 85.0 85.0 85.0 82.0 80.0 80.0 83.0 84.0 85.0 85.0 85.0\n",
      " 87.0 95.0 105.0 110.0 109.0 100.0 90.0 95.0 112.0 115.0 110.0 108.0 103.0\n",
      " 100.0 95.0 93.0 88.0 86.0 85.0 91.0 119.0 120.0 105.0 109.0 110.0 105.0\n",
      " 103.0 97.0 92.0 90.0 61.0 40.0 36.0 30.0 42.0 45.0 40.0 40.0 40.0 40.0\n",
      " 40.0 39.0 36.0 35.0 50.0 51.0 58.0 65.0 72.0 75.0 55.0 35.0 35.0 14.0\n",
      " 334.0 305.0 283.0 245.0 244.0 240.0 237.0 222.0 220.0 250.0 265.0 283.0\n",
      " 295.0 309.0 320.0 311.0 298.0 294.0 291.0 290.0 284.0 283.0 280.0 276.0\n",
      " 270.0 275.0 275.0 275.0 272.0 270.0 260.0 260.0 255.0 253.0 250.0 235.0\n",
      " 235.0 235.0 245.0]\n",
      "[-- 145.0 119.0 105.0 105.0 103.0 95.0 93.0 83.0 80.0 5.0 2.0 350.0 350.0\n",
      " 39.0 50.0 53.0 55.0 4.0 355.0 8.0 25.0 24.0 20.0 8.0 336.0 310.0 36.0 35.0\n",
      " 46.0 55.0 82.0 86.0 95.0 118.0 130.0 110.0 115.0 117.0 120.0 120.0 95.0\n",
      " 91.0 90.0 85.0 85.0 85.0 86.0 90.0 95.0 98.0 100.0 99.0 95.0 95.0 95.0\n",
      " 97.0 100.0 99.0 91.0 85.0 83.0 77.0 75.0 70.0 76.0 85.0 81.0 80.0 75.0\n",
      " 73.0 70.0 85.0 85.0 106.0 110.0 115.0 107.0 103.0 95.0 75.0 70.0 73.0 75.0\n",
      " 65.0 58.0 45.0 44.0 40.0 35.0 35.0 32.0 30.0 31.0 34.0 34.0 35.0 38.0 41.0\n",
      " 50.0 45.0 46.0 47.0 47.0 49.0 49.0 50.0 50.0 61.0 75.0 90.0 86.0 65.0 70.0\n",
      " 75.0 0.0 333.0 275.0 273.0 250.0 245.0 240.0 240.0 235.0 235.0 255.0 258.0\n",
      " 275.0 293.0 315.0 325.0 325.0 325.0 324.0 311.0 302.0 278.0 275.0 270.0\n",
      " 280.0 280.0 280.0 267.0 265.0 257.0 255.0 256.0 259.0 260.0 259.0 255.0\n",
      " 245.0 245.0 245.0 240.0 240.0 240.0 236.0 230.0 230.0]\n",
      "[-- -- 90.0 111.0 130.0 120.0 135.0 112.0 105.0 55.0 62.0 68.0 80.0 60.0\n",
      " 60.0 60.0 59.0 60.0 40.0 36.0 25.0 25.0 350.0 345.0 320.0 310.0 15.0 100.0\n",
      " 100.0 100.0 100.0 100.0 100.0 102.0 110.0 108.0 95.0 90.0 91.0 95.0 91.0\n",
      " 90.0 90.0 90.0 94.0 95.0 92.0 90.0 95.0 98.0 100.0 104.0 110.0 110.0 85.0\n",
      " 85.0 94.0 100.0 100.0 110.0 55.0 57.0 60.0 64.0 110.0 107.0 103.0 97.0\n",
      " 91.0 85.0 83.0 82.0 80.0 81.0 85.0 85.0 85.0 83.0 80.0 65.0 51.0 50.0 50.0\n",
      " 50.0 50.0 48.0 47.0 46.0 46.0 45.0 45.0 45.0 48.0 50.0 51.0 52.0 52.0 53.0\n",
      " 54.0 55.0 55.0 53.0 52.0 51.0 49.0 47.0 45.0 45.0 60.0 64.0 70.0 74.0 78.0\n",
      " 88.0 95.0 100.0 108.0 125.0 155.0 160.0 171.0 231.0 235.0 255.0 290.0\n",
      " 284.0 276.0 265.0 294.0 310.0 315.0 314.0 306.0 303.0 290.0 284.0 280.0\n",
      " 286.0 295.0 297.0 298.0 300.0 297.0 287.0 285.0 268.0 255.0 255.0 256.0\n",
      " 280.0 273.0 270.0 265.0 265.0 260.0 252.0 230.0 215.0 210.0]\n",
      "[-- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- --\n",
      " -- -- 80.0 80.0 99.0 110.0 103.0 100.0 95.0 96.0 99.0 105.0 99.0 95.0 79.0\n",
      " 59.0 31.0 0.0 55.0 135.0 104.0 85.0 70.0 69.0 65.0 80.0 74.0 64.0 61.0\n",
      " 60.0 60.0 60.0 63.0 65.0 70.0 72.0 76.0 80.0 80.0 77.0 71.0 70.0 73.0 79.0\n",
      " 81.0 83.0 85.0 85.0 75.0 70.0 60.0 60.0 60.0 62.0 65.0 85.0 85.0 86.0 87.0\n",
      " 88.0 89.0 90.0 85.0 198.0 265.0 271.0 275.0 275.0 275.0 267.0 260.0 275.0\n",
      " 273.0 270.0 266.0 265.0 254.0 250.0 258.0 270.0 280.0 294.0 295.0 300.0\n",
      " 297.0 295.0 294.0 292.0 290.0 286.0 285.0 285.0 285.0 271.0 270.0 272.0\n",
      " 275.0 240.0 240.0 240.0 245.0 245.0 246.0 248.0 250.0 255.0 260.0]\n",
      "[-- 95.0 62.0 45.0 14.0 310.0 318.0 352.0 0.0 8.0 40.0 40.0 41.0 55.0 82.0\n",
      " 110.0 108.0 96.0 95.0 85.0 64.0 45.0 45.0 45.0 55.0 99.0 130.0 128.0 110.0\n",
      " 130.0 119.0 110.0 105.0 102.0 100.0 100.0 100.0 96.0 88.0 82.0 78.0 75.0\n",
      " 75.0 75.0 75.0 68.0 65.0 107.0 115.0 105.0 125.0 122.0 110.0 110.0 110.0\n",
      " 100.0 100.0 108.0 110.0 84.0 80.0 56.0 45.0 140.0 118.0 104.0 63.0 45.0\n",
      " 45.0 45.0 45.0 45.0 45.0 43.0 40.0 40.0 40.0 40.0 40.0 40.0 40.0 62.0 65.0\n",
      " 65.0 65.0 65.0 65.0 70.0 72.0 75.0 75.0 75.0 75.0 85.0 84.0 76.0 75.0 73.0\n",
      " 70.0 70.0 80.0 90.0 87.0 60.0 60.0 55.0 83.0 85.0 90.0 200.0 226.0 258.0\n",
      " 266.0 282.0 285.0 260.0 258.0 255.0 253.0 250.0 252.0 253.0 255.0 256.0\n",
      " 269.0 280.0 281.0 282.0 283.0 285.0 285.0 285.0 285.0 285.0 285.0 287.0\n",
      " 290.0 290.0 291.0 293.0 294.0 295.0 297.0 299.0 305.0 305.0 305.0 298.0\n",
      " 290.0 290.0 279.0 275.0 254.0 250.0 255.0 245.0 228.0 220.0 215.0 215.0\n",
      " 230.0]\n",
      "[-- 65.0 86.0 93.0 100.0 96.0 60.0 46.0 45.0 15.0 21.0 30.0 60.0 80.0 79.0\n",
      " 76.0 75.0 90.0 90.0 40.0 24.0 15.0 345.0 309.0 260.0 131.0 110.0 110.0\n",
      " 110.0 103.0 95.0 95.0 95.0 95.0 93.0 90.0 90.0 92.0 93.0 94.0 95.0 90.0\n",
      " 90.0 90.0 79.0 75.0 87.0 95.0 114.0 120.0 105.0 110.0 105.0 95.0 101.0\n",
      " 105.0 95.0 85.0 85.0 85.0 85.0 85.0 104.0 110.0 102.0 81.0 70.0 69.0 65.0\n",
      " 55.0 55.0 50.0 50.0 50.0 50.0 52.0 57.0 58.0 60.0 45.0 45.0 45.0 46.0 58.0\n",
      " 65.0 65.0 62.0 60.0 62.0 65.0 67.0 69.0 70.0 72.0 75.0 75.0 75.0 73.0 59.0\n",
      " 55.0 58.0 65.0 65.0 37.0 25.0 358.0 336.0 323.0 315.0 308.0 302.0 285.0\n",
      " 280.0 274.0 265.0 255.0 255.0 257.0 259.0 260.0 260.0 269.0 291.0 295.0\n",
      " 295.0 295.0 295.0 297.0 298.0 300.0 299.0 297.0 295.0 296.0 300.0 292.0\n",
      " 290.0 280.0 272.0 255.0 249.0 220.0 225.0 230.0 231.0 232.0 235.0 235.0\n",
      " 235.0 235.0 225.0 218.0 210.0 210.0 212.0 215.0 239.0 240.0 235.0]\n",
      "[-- 140.0 155.0 153.0 133.0 109.0 92.0 80.0 58.0 48.0 10.0 7.0 0.0 39.0\n",
      " 67.0 90.0 80.0 80.0 80.0 73.0 57.0 45.0 47.0 50.0 85.0 70.0 95.0 90.0 90.0\n",
      " 90.0 93.0 95.0 97.0 100.0 96.0 95.0 98.0 100.0 89.0 85.0 90.0 74.0 65.0\n",
      " 66.0 77.0 84.0 90.0 97.0 105.0 100.0 94.0 82.0 75.0 75.0 75.0 70.0 53.0\n",
      " 49.0 48.0 40.0 46.0 73.0 85.0 75.0 75.0 66.0 60.0 59.0 55.0 54.0 50.0 50.0\n",
      " 50.0 50.0 54.0 57.0 60.0 62.0 63.0 65.0 65.0 70.0 70.0 70.0 73.0 80.0 80.0\n",
      " 78.0 60.0 55.0 346.0 345.0 330.0 321.0 317.0 312.0 290.0 273.0 245.0 240.0\n",
      " 254.0 270.0 271.0 295.0 299.0 300.0 300.0 300.0 300.0 299.0 295.0 294.0\n",
      " 290.0 294.0 295.0 296.0 300.0 297.0 294.0 290.0 281.0 275.0 264.0 240.0\n",
      " 252.0 255.0 255.0 255.0 255.0 255.0 253.0 250.0 245.0 250.0 235.0 235.0]\n",
      "[-- 15.0 61.0 83.0 96.0 120.0 123.0 135.0 95.0 88.0 68.0 47.0 40.0 80.0\n",
      " 115.0 115.0 125.0 105.0 106.0 103.0 92.0 77.0 75.0 72.0 55.0 56.0 65.0\n",
      " 65.0 70.0 77.0 85.0 85.0 90.0 90.0 90.0 90.0 90.0 90.0 94.0 95.0 91.0 90.0\n",
      " 77.0 61.0 60.0 60.0 60.0 80.0 80.0 77.0 71.0 70.0 100.0 98.0 95.0 88.0\n",
      " 79.0 65.0 15.0 340.0 265.0 185.0 167.0 145.0 96.0 81.0 75.0 67.0 60.0 60.0\n",
      " 60.0 59.0 55.0 55.0 60.0 62.0 64.0 68.0 75.0 78.0 79.0 80.0 80.0 80.0 80.0\n",
      " 80.0 66.0 60.0 62.0 63.0 65.0 88.0 90.0 90.0 90.0 85.0 80.0 36.0 4.0 347.0\n",
      " 340.0 333.0 315.0 300.0 297.0 245.0 245.0 260.0 260.0 294.0 315.0 320.0\n",
      " 316.0 314.0 305.0 304.0 300.0 300.0 299.0 297.0 292.0 290.0 291.0 294.0\n",
      " 297.0 300.0 300.0 300.0 299.0 297.0 295.0 281.0 270.0 280.0 269.0 260.0\n",
      " 250.0 248.0 235.0 230.0 235.0 235.0]\n",
      "[-- 105.0 170.0 175.0 180.0 170.0 164.0 140.0 133.0 120.0 87.0 75.0 55.0\n",
      " 5.0 230.0 145.0 139.0 130.0 110.0 105.0 90.0 85.0 85.0 85.0 85.0 90.0 75.0\n",
      " 95.0 91.0 75.0 75.0 80.0 81.0 85.0 88.0 90.0 100.0 110.0 85.0 80.0 80.0\n",
      " 80.0 95.0 80.0 89.0 95.0 90.0 54.0 45.0 120.0 120.0 120.0 65.0 64.0 55.0\n",
      " 65.0 65.0 65.0 65.0 60.0 60.0 62.0 65.0 60.0 60.0 66.0 71.0 75.0 79.0 83.0\n",
      " 85.0 103.0 105.0 85.0 80.0 80.0 85.0 49.0 15.0 351.0 315.0 312.0 311.0\n",
      " 310.0 300.0 280.0 284.0 295.0 302.0 305.0 307.0 332.0 345.0 342.0 340.0\n",
      " 325.0 321.0 318.0 310.0 295.0 282.0 280.0 280.0 275.0 275.0 270.0 270.0\n",
      " 265.0 251.0 250.0 246.0 245.0 245.0 245.0 255.0 260.0]\n",
      "[-- 340.0 300.0 235.0 245.0 160.0 153.0 125.0 114.0 100.0 92.0 93.0 90.0\n",
      " 126.0 155.0 206.0 215.0 190.0 150.0 130.0 126.0 111.0 95.0 75.0 60.0 60.0\n",
      " 60.0 85.0 88.0 90.0 85.0 85.0 85.0 85.0 85.0 85.0 90.0 90.0 90.0 90.0 90.0\n",
      " 90.0 94.0 100.0 99.0 95.0 110.0 106.0 85.0 85.0 95.0 90.0 89.0 57.0 45.0\n",
      " 80.0 100.0 95.0 86.0 85.0 135.0 105.0 96.0 82.0 65.0 63.0 59.0 55.0 50.0\n",
      " 50.0 63.0 66.0 70.0 70.0 67.0 65.0 66.0 68.0 70.0 70.0 69.0 67.0 66.0 65.0\n",
      " 75.0 78.0 79.0 80.0 82.0 91.0 96.0 100.0 91.0 82.0 65.0 65.0 62.0 60.0\n",
      " 50.0 30.0 355.0 341.0 335.0 331.0 325.0 316.0 315.0 300.0 310.0 310.0\n",
      " 310.0 310.0 310.0 310.0 311.0 313.0 314.0 315.0 305.0 299.0 290.0 289.0\n",
      " 285.0 286.0 287.0 288.0 290.0 289.0 285.0 283.0 275.0 275.0 275.0 261.0\n",
      " 260.0 260.0 260.0 259.0 255.0 255.0 255.0 255.0 255.0 250.0 245.0]\n",
      "[-- 100.0 80.0 75.0 80.0 35.0 315.0 290.0 255.0 180.0 130.0 120.0 35.0 3.0\n",
      " 320.0 250.0 270.0 285.0 238.0 165.0 130.0 110.0 111.0 80.0 73.0 70.0 70.0\n",
      " 100.0 95.0 95.0 95.0 87.0 85.0 87.0 93.0 94.0 95.0 89.0 77.0 75.0 105.0\n",
      " 104.0 95.0 83.0 66.0 55.0 90.0 96.0 140.0 75.0 60.0 61.0 65.0 65.0 50.0\n",
      " 55.0 63.0 70.0 70.0 70.0 70.0 70.0 70.0 70.0 74.0 75.0 82.0 85.0 85.0 85.0\n",
      " 85.0 85.0 85.0 76.0 70.0 65.0 65.0 20.0 8.0 0.0 340.0 339.0 335.0 315.0\n",
      " 325.0 322.0 319.0 310.0 315.0 315.0 325.0 319.0 315.0 310.0 306.0 305.0\n",
      " 307.0 309.0 310.0 310.0 310.0 310.0 307.0 305.0 299.0 295.0 295.0 270.0\n",
      " 269.0 266.0 265.0 260.0 260.0 261.0 265.0 265.0 265.0 265.0]\n",
      "[-- 335.0 230.0 225.0 193.0 180.0 174.0 148.0 145.0 130.0 115.0 112.0 109.0\n",
      " 105.0 102.0 97.0 75.0 79.0 80.0 80.0 82.0 85.0 87.0 95.0 89.0 81.0 80.0\n",
      " 85.0 82.0 80.0 87.0 90.0 97.0 100.0 105.0 105.0 110.0 91.0 90.0 90.0 90.0\n",
      " 90.0 82.0 75.0 74.0 70.0 65.0 125.0 87.0 75.0 72.0 64.0 61.0 60.0 50.0\n",
      " 50.0 54.0 55.0 60.0 61.0 65.0 65.0 70.0 77.0 80.0 80.0 77.0 75.0 70.0 70.0\n",
      " 70.0 70.0 70.0 85.0 90.0 88.0 86.0 85.0 85.0 87.0 88.0 90.0 90.0 88.0 87.0\n",
      " 85.0 85.0 80.0 71.0 70.0 65.0 50.0 17.0 0.0 359.0 352.0 350.0 350.0 340.0\n",
      " 330.0 328.0 310.0 310.0 310.0 310.0 310.0 306.0 305.0 301.0 299.0 299.0\n",
      " 297.0 295.0 295.0 295.0 295.0 298.0 300.0 296.0 295.0 295.0 295.0 295.0\n",
      " 290.0 310.0 305.0 304.0 290.0 289.0 275.0 267.0 265.0 260.0 270.0 267.0\n",
      " 265.0 255.0]\n",
      "[-- 70.0 70.0 70.0 62.0 40.0 25.0 26.0 225.0 230.0 230.0 85.0 0.0 315.0\n",
      " 311.0 300.0 245.0 216.0 160.0 129.0 125.0 115.0 106.0 85.0 89.0 90.0 90.0\n",
      " 82.0 80.0 75.0 85.0 89.0 90.0 90.0 90.0 87.0 75.0 88.0 90.0 100.0 140.0\n",
      " 115.0 116.0 118.0 120.0 96.0 95.0 72.0 70.0 70.0 70.0 70.0 72.0 75.0 90.0\n",
      " 60.0 60.0 75.0 77.0 80.0 80.0 80.0 80.0 80.0 78.0 77.0 76.0 75.0 80.0 70.0\n",
      " 74.0 75.0 75.0 70.0 70.0 25.0 0.0 0.0 3.0 5.0 10.0 5.0 0.0 330.0 328.0\n",
      " 315.0 301.0 300.0 300.0 300.0 300.0 299.0 298.0 295.0 300.0 300.0 300.0\n",
      " 300.0 299.0 290.0 290.0 283.0 275.0 265.0 265.0 262.0 260.0 265.0 265.0\n",
      " 265.0]\n",
      "[-- 110.0 70.0 70.0 60.0 14.0 5.0 65.0 85.0 75.0 81.0 85.0 85.0 80.0 70.0\n",
      " 65.0 17.0 20.0 300.0 292.0 285.0 20.0 40.0 20.0 9.0 5.0 310.0 290.0 190.0\n",
      " 175.0 157.0 120.0 119.0 102.0 95.0 94.0 90.0 90.0 90.0 90.0 90.0 90.0 90.0\n",
      " 90.0 90.0 95.0 70.0 70.0 70.0 120.0 125.0 160.0 150.0 120.0 110.0 124.0\n",
      " 125.0 108.0 92.0 80.0 80.0 80.0 80.0 85.0 100.0 110.0 84.0 75.0 70.0 70.0\n",
      " 70.0 71.0 72.0 72.0 72.0 74.0 75.0 75.0 78.0 80.0 70.0 65.0 65.0 70.0 70.0\n",
      " 70.0 70.0 70.0 90.0 90.0 135.0 260.0 225.0 345.0 5.0 0.0 0.0 0.0 355.0\n",
      " 350.0 315.0 318.0 320.0 320.0 320.0 316.0 310.0 309.0 303.0 295.0 295.0\n",
      " 298.0 301.0 310.0 314.0 315.0 315.0 315.0 315.0 313.0 312.0 310.0 290.0\n",
      " 290.0 270.0 262.0 260.0 260.0 260.0 260.0 265.0 261.0 260.0 260.0]\n",
      "[-- 120.0 116.0 105.0 106.0 75.0 55.0 55.0 90.0 75.0 95.0 86.0 80.0 63.0\n",
      " 15.0 330.0 310.0 5.0 75.0 74.0 70.0 39.0 10.0 344.0 340.0 315.0 260.0\n",
      " 155.0 124.0 105.0 85.0 90.0 90.0 95.0 95.0 90.0 90.0 94.0 95.0 75.0 76.0\n",
      " 78.0 78.0 80.0 85.0 125.0 115.0 112.0 111.0 110.0 110.0 110.0 120.0 130.0\n",
      " 130.0 90.0 89.0 70.0 70.0 70.0 67.0 60.0 65.0 69.0 70.0 70.0 70.0 68.0\n",
      " 65.0 72.0 75.0 65.0 45.0 45.0 40.0 25.0 0.0 345.0 350.0 340.0 340.0 335.0\n",
      " 320.0 318.0 310.0 308.0 305.0 310.0 315.0 316.0 320.0 315.0 315.0 305.0\n",
      " 303.0 299.0 295.0 295.0 285.0 282.0 282.0 282.0 280.0 270.0 265.0 260.0\n",
      " 260.0 260.0 260.0]\n",
      "[-- 160.0 155.0 105.0 30.0 295.0 115.0 87.0 64.0 65.0 40.0 320.0 300.0\n",
      " 245.0 160.0 137.0 100.0 85.0 90.0 90.0 90.0 90.0 84.0 80.0 84.0 85.0 90.0\n",
      " 91.0 100.0 100.0 115.0 99.0 85.0 86.0 95.0 98.0 100.0 100.0 99.0 90.0 65.0\n",
      " 67.0 75.0 75.0 75.0 76.0 79.0 84.0 90.0 70.0 65.0 65.0 45.0 50.0 55.0 48.0\n",
      " 43.0 40.0 39.0 36.0 35.0 40.0 40.0 20.0 7.0 5.0 355.0 350.0 340.0 335.0\n",
      " 330.0 315.0 325.0 325.0 325.0 300.0 291.0 290.0 298.0 310.0 315.0 320.0\n",
      " 316.0 315.0 320.0 320.0 320.0 312.0 310.0 305.0 305.0 310.0 310.0 310.0\n",
      " 302.0 300.0 300.0 300.0 300.0 290.0 290.0]\n",
      "[-- 95.0 100.0 45.0 40.0 57.0 60.0 40.0 40.0 45.0 35.0 0.0 270.0 240.0\n",
      " 115.0 115.0 130.0 255.0 320.0 319.0 305.0 310.0 244.0 150.0 120.0 90.0\n",
      " 90.0 90.0 90.0 90.0 90.0 84.0 80.0 82.0 85.0 85.0 85.0 70.0 50.0 50.0 50.0\n",
      " 99.0 145.0 136.0 120.0 125.0 95.0 93.0 90.0 86.0 78.0 75.0 58.0 55.0 50.0\n",
      " 45.0 45.0 50.0 60.0 63.0 70.0 75.0 75.0 74.0 68.0 63.0 60.0 70.0 70.0 70.0\n",
      " 70.0 75.0 55.0 37.0 10.0 5.0 340.0 340.0 315.0 345.0 340.0 350.0 325.0\n",
      " 315.0 305.0 305.0 305.0 300.0 300.0 305.0 303.0 300.0 300.0 300.0 300.0\n",
      " 295.0 295.0 295.0 295.0 295.0 295.0 295.0 295.0 295.0 291.0 290.0 285.0\n",
      " 285.0 300.0 300.0]\n",
      "[-- 35.0 345.0 280.0 280.0 250.0 220.0 186.0 120.0 114.0 93.0 90.0 85.0\n",
      " 86.0 90.0 90.0 85.0 80.0 76.0 75.0 65.0 104.0 110.0 91.0 90.0 75.0 35.0\n",
      " 35.0 33.0 20.0 10.0 125.0 115.0 112.0 95.0 90.0 60.0 60.0 50.0 50.0 50.0\n",
      " 45.0 55.0 59.0 60.0 65.0 65.0 65.0 65.0 65.0 65.0 56.0 40.0 60.0 90.0 85.0\n",
      " 80.0 70.0 75.0 70.0 72.0 75.0 55.0 317.0 260.0 280.0 270.0 274.0 275.0\n",
      " 285.0 289.0 290.0 290.0 290.0 288.0 285.0 285.0 285.0 287.0 290.0 290.0\n",
      " 290.0 290.0 290.0 290.0 290.0 290.0]\n",
      "[65.0 45.0 185.0 190.0 225.0 300.0 295.0 290.0 320.0 --]\n",
      "[-- -- -- 85.0 86.0 100.0 81.0 80.0 30.0 42.0 47.0 50.0 59.0 110.0 148.0\n",
      " 185.0 190.0 202.0 205.0 175.0 180.0 200.0 200.0 195.0 225.0 220.0 220.0\n",
      " 220.0 220.0 190.0 205.0 195.0 212.0 235.0 260.0 250.0 250.0 250.0 275.0\n",
      " 295.0 295.0 295.0 293.0 293.0 292.0 290.0 289.0 285.0 280.0 280.0 280.0\n",
      " 275.0 275.0 275.0 277.0 278.0 279.0 279.0 280.0 275.0 275.0 272.0 271.0\n",
      " 270.0 274.0 275.0 275.0]\n",
      "[-- -- 45.0 5.0 17.0 46.0 52.0 95.0 117.0 130.0 111.0 65.0 112.0 220.0\n",
      " 180.0 103.0 90.0 95.0 95.0 96.0 100.0 100.0 88.0 85.0 85.0 96.0 100.0\n",
      " 100.0 69.0 65.0 85.0 85.0 85.0 88.0 90.0 165.0 175.0 125.0 115.0 90.0 86.0\n",
      " 80.0 80.0 80.0 100.0 101.0 105.0 105.0 85.0 85.0 79.0 65.0 45.0 60.0 70.0\n",
      " 85.0 89.0 90.0 144.0 145.0 154.0 155.0 170.0 180.0 208.0 220.0 235.0 235.0\n",
      " 235.0 231.0 230.0 230.0 225.0 221.0 220.0 225.0 240.0 245.0 253.0 260.0\n",
      " 265.0 265.0 265.0 265.0 270.0 270.0 270.0 270.0 270.0 280.0 280.0 285.0\n",
      " 285.0 285.0 285.0 285.0 285.0 285.0 288.0 290.0 290.0 290.0 --]\n",
      "[-- -- 80.0 39.0 40.0 304.0 272.0 261.0 255.0 210.0 95.0 92.0 80.0 59.0\n",
      " 60.0 27.0 20.0 60.0 63.0 90.0 95.0 94.0 85.0 85.0 75.0 85.0 80.0 95.0\n",
      " 105.0 78.0 70.0 100.0 105.0 10.0 19.0 60.0 67.0 75.0 70.0 76.0 85.0 100.0\n",
      " 100.0 100.0 80.0 70.0 57.0 55.0 45.0 60.0 65.0 70.0 71.0 80.0 82.0 115.0\n",
      " 135.0 130.0 160.0 235.0 230.0 215.0 213.0 210.0 200.0 195.0 175.0 205.0\n",
      " 205.0 220.0 230.0 225.0 225.0 220.0 234.0 235.0 235.0 235.0 243.0 245.0\n",
      " 255.0 259.0 262.0 265.0 265.0 270.0 275.0 275.0 275.0 275.0 275.0 280.0\n",
      " 285.0 285.0 285.0 290.0 290.0 --]\n",
      "[-- 75.0 80.0 85.0 85.0 93.0 106.0 115.0 115.0 115.0 70.0 70.0 60.0 51.0\n",
      " 50.0 75.0 75.0 75.0 30.0 340.0 285.0 285.0 275.0 260.0 130.0 145.0 121.0\n",
      " 81.0 65.0 50.0 57.0 75.0 95.0 95.0 95.0 91.0 85.0 85.0 85.0 81.0 80.0 80.0\n",
      " 84.0 110.0 115.0 114.0 80.0 75.0 75.0 90.0 90.0 59.0 40.0 95.0 93.0 80.0\n",
      " 80.0 80.0 80.0 65.0 65.0 65.0 57.0 55.0 55.0 55.0 80.0 85.0 85.0 65.0 66.0\n",
      " 76.0 80.0 106.0 115.0 115.0 118.0 120.0 115.0 165.0 220.0 215.0 215.0\n",
      " 179.0 170.0 186.0 195.0 190.0 190.0 190.0 165.0 165.0 165.0 165.0 184.0\n",
      " 185.0 190.0 218.0 220.0 225.0 230.0 235.0 240.0 244.0 255.0 260.0 265.0\n",
      " 275.0 279.0 280.0 277.0 273.0 270.0 270.0 268.0 265.0 265.0 265.0 260.0\n",
      " 260.0 255.0 251.0 250.0]\n",
      "[-- -- 130.0 -- -- 55.0 57.0 65.0 80.0 76.0 70.0 74.0 80.0 80.0 80.0 80.0\n",
      " 79.0 76.0 75.0 85.0 90.0 110.0 110.0 110.0 110.0 112.0 128.0 137.0 140.0\n",
      " 150.0 155.0 164.0 165.0 130.0 138.0 167.0 195.0 195.0 195.0 203.0 215.0\n",
      " 221.0 223.0 230.0 231.0 235.0 235.0 240.0 240.0 260.0 255.0 255.0 260.0\n",
      " 260.0 260.0 264.0 265.0 270.0 270.0 270.0 270.0 268.0 255.0 257.0 300.0\n",
      " 300.0]\n",
      "[-- -- 95.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 90.0 95.0 94.0 92.0 90.0\n",
      " 86.0 85.0 86.0 100.0 105.0 103.0 101.0 100.0 80.0 55.0 335.0 343.0 115.0\n",
      " 99.0 85.0 80.0 78.0 75.0 55.0 50.0 50.0 50.0 45.0 50.0 45.0 46.0 55.0 61.0\n",
      " 85.0 90.0 90.0 90.0 90.0 90.0 90.0 92.0 94.0 95.0 95.0 101.0 105.0 113.0\n",
      " 120.0 118.0 115.0 115.0 115.0 116.0 140.0 147.0 151.0 153.0 155.0 175.0\n",
      " 195.0 201.0 210.0 219.0 230.0 230.0 230.0 236.0 245.0 255.0 265.0 264.0\n",
      " 260.0 255.0 260.0 260.0 260.0 260.0 260.0 255.0 252.0 251.0 250.0 250.0\n",
      " 255.0 239.0 235.0 --]\n",
      "[-- 110.0 107.0 105.0 95.0 90.0 80.0 75.0 54.0 30.0 65.0 80.0 50.0 345.0\n",
      " 305.0 295.0 320.0 190.0 175.0 160.0 85.0 80.0 45.0 50.0 20.0 290.0 230.0\n",
      " 187.0 150.0 123.0 115.0 108.0 95.0 95.0 95.0 95.0 95.0 94.0 90.0 85.0 83.0\n",
      " 75.0 75.0 85.0 95.0 55.0 61.0 105.0 110.0 85.0 79.0 70.0 65.0 55.0 59.0\n",
      " 60.0 50.0 55.0 61.0 69.0 70.0 70.0 81.0 90.0 95.0 90.0 88.0 80.0 80.0 90.0\n",
      " 97.0 106.0 116.0 120.0 125.0 126.0 130.0 134.0 135.0 135.0 136.0 137.0\n",
      " 139.0 140.0 160.0 171.0 177.0 188.0 210.0 218.0 230.0 230.0 245.0 243.0\n",
      " 240.0 241.0 245.0 250.0 250.0 256.0 260.0 265.0 265.0 265.0 265.0 255.0\n",
      " 254.0 250.0 249.0 240.0 231.0 230.0 230.0]\n",
      "[80.0 75.0 70.0 65.0 75.0 75.0 75.0 70.0 60.0 62.0 70.0 78.0 84.0 85.0 85.0\n",
      " 85.0 85.0 80.0 80.0 80.0 80.0 90.0 90.0 105.0 105.0 100.0 110.0 150.0\n",
      " 167.0 175.0 185.0 189.0 195.0 197.0 205.0 208.0 210.0 215.0 230.0 232.0\n",
      " 240.0 240.0 240.0 240.0 240.0 240.0 239.0 235.0 235.0 235.0 236.0 240.0\n",
      " 240.0 241.0 245.0 243.0 240.0 240.0 236.0 235.0 235.0 235.0 235.0]\n",
      "[-- 65.0 95.0 80.0 60.0 79.0 145.0 145.0 145.0 110.0 106.0 105.0 70.0 68.0\n",
      " 65.0 30.0 15.0 290.0 175.0 137.0 95.0 90.0 85.0 85.0 86.0 89.0 95.0 94.0\n",
      " 86.0 85.0 80.0 85.0 88.0 94.0 95.0 90.0 75.0 80.0 90.0 70.0 75.0 40.0 38.0\n",
      " 16.0 355.0 110.0 90.0 88.0 70.0 70.0 70.0 70.0 66.0 65.0 65.0 65.0 70.0\n",
      " 75.0 71.0 70.0 72.0 75.0 76.0 79.0 80.0 87.0 92.0 95.0 95.0 95.0 95.0 95.0\n",
      " 95.0 93.0 91.0 91.0 90.0 85.0 85.0 75.0 88.0 100.0 106.0 125.0 127.0 140.0\n",
      " 175.0 177.0 190.0 191.0 193.0 199.0 203.0 205.0 207.0 210.0 215.0 230.0\n",
      " 239.0 255.0 255.0 260.0 265.0 260.0 264.0 265.0 255.0 255.0 240.0 230.0\n",
      " 230.0 227.0 225.0 240.0 255.0 260.0]\n",
      "[-- 100.0 85.0 43.0 20.0 20.0 0.0 5.0 350.0 315.0 305.0 290.0 270.0 235.0\n",
      " 210.0 100.0 85.0 85.0 65.0 41.0 25.0 25.0 35.0 65.0 105.0 105.0 90.0 90.0\n",
      " 90.0 92.0 99.0 100.0 99.0 95.0 95.0 105.0 106.0 110.0 98.0 90.0 75.0 85.0\n",
      " 85.0 75.0 70.0 59.0 35.0 21.0 20.0 90.0 85.0 81.0 75.0 74.0 70.0 68.0 65.0\n",
      " 75.0 70.0 70.0 70.0 72.0 74.0 75.0 84.0 85.0 85.0 85.0 85.0 85.0 85.0 55.0\n",
      " 57.0 65.0 65.0 55.0 56.0 88.0 95.0 111.0 115.0 124.0 125.0 190.0 190.0\n",
      " 190.0 200.0 202.0 204.0 209.0 210.0 213.0 214.0 220.0 232.0 235.0 240.0\n",
      " 245.0 256.0 260.0 245.0 240.0 240.0 240.0 240.0 235.0 255.0 260.0 261.0\n",
      " 265.0 255.0 256.0 259.0 260.0 260.0]\n",
      "[-- -- 80.0 60.0 55.0 65.0 75.0 50.0 55.0 60.0 55.0 45.0 45.0 15.0 335.0\n",
      " 265.0 125.0 95.0 90.0 90.0 87.0 85.0 71.0 65.0 82.0 90.0 90.0 90.0 90.0\n",
      " 95.0 95.0 90.0 90.0 87.0 87.0 85.0 100.0 96.0 80.0 100.0 100.0 100.0 105.0\n",
      " 45.0 72.0 100.0 110.0 105.0 102.0 78.0 72.0 60.0 70.0 75.0 80.0 80.0 90.0\n",
      " 90.0 80.0 80.0 80.0 88.0 97.0 100.0 100.0 100.0 100.0 100.0 95.0 90.0 90.0\n",
      " 65.0 55.0 76.0 80.0 80.0 80.0 70.0 87.0 105.0 120.0 127.0 180.0 208.0\n",
      " 212.0 215.0 215.0 218.0 230.0 237.0 245.0 235.0 235.0 232.0 230.0 230.0\n",
      " 230.0 230.0 237.0 240.0 245.0 235.0 235.0 241.0 245.0 235.0 235.0 230.0\n",
      " 232.0 235.0 253.0 255.0 260.0]\n",
      "[-- 100.0 94.0 64.0 40.0 115.0 110.0 106.0 72.0 60.0 49.0 45.0 60.0 55.0\n",
      " 70.0 75.0 75.0 83.0 90.0 95.0 95.0 97.0 100.0 99.0 88.0 85.0 81.0 75.0\n",
      " 64.0 60.0 66.0 70.0 70.0 70.0 77.0 80.0 76.0 65.0 72.0 75.0 95.0 100.0\n",
      " 105.0 220.0 235.0 235.0 235.0 235.0 235.0 235.0 235.0 236.0 241.0 242.0\n",
      " 245.0 250.0 249.0 243.0 240.0 239.0 235.0 229.0 226.0 225.0 225.0 240.0\n",
      " 240.0 240.0 240.0 230.0 228.0 225.0 225.0 225.0 225.0 225.0 205.0 200.0]\n",
      "[-- -- 35.0 40.0 80.0 70.0 65.0 355.0 320.0 170.0 155.0 127.0 110.0 105.0\n",
      " 100.0 95.0 70.0 85.0 90.0 100.0 100.0 100.0 96.0 94.0 91.0 90.0 80.0 78.0\n",
      " 75.0 89.0 90.0 80.0 85.0 85.0 70.0 85.0 83.0 65.0 55.0 41.0 40.0 145.0\n",
      " 130.0 125.0 45.0 50.0 40.0 70.0 75.0 75.0 70.0 70.0 75.0 77.0 90.0 92.0\n",
      " 93.0 94.0 95.0 95.0 90.0 85.0 69.0 45.0 56.0 60.0 60.0 75.0 105.0 129.0\n",
      " 155.0 150.0 140.0 142.0 150.0 145.0 135.0 200.0 198.0 195.0 199.0 205.0\n",
      " 210.0 212.0 215.0 220.0 225.0 235.0 235.0 245.0 245.0 245.0 240.0 240.0\n",
      " 235.0 235.0 225.0 245.0 250.0]\n",
      "[-- -- 85.0 79.0 75.0 75.0 65.0 49.0 45.0 80.0 90.0 90.0 114.0 120.0 125.0\n",
      " 100.0 94.0 70.0 70.0 70.0 92.0 105.0 280.0 280.0 275.0 130.0 102.0 90.0\n",
      " 89.0 80.0 70.0 79.0 95.0 95.0 95.0 95.0 95.0 90.0 92.0 95.0 87.0 75.0 70.0\n",
      " 65.0 66.0 80.0 110.0 78.0 75.0 56.0 50.0 105.0 115.0 119.0 130.0 135.0\n",
      " 115.0 105.0 95.0 95.0 85.0 70.0 70.0 70.0 70.0 61.0 50.0 55.0 75.0 95.0\n",
      " 96.0 98.0 99.0 100.0 100.0 100.0 100.0 100.0 100.0 99.0 91.0 90.0 92.0\n",
      " 98.0 102.0 110.0 106.0 105.0 105.0 105.0 105.0 120.0 192.0 224.0 235.0\n",
      " 236.0 237.0 239.0 240.0 237.0 221.0 220.0 220.0 220.0 214.0 210.0 215.0\n",
      " 218.0 240.0 250.0 260.0 255.0 265.0 265.0 265.0 257.0 255.0 250.0 247.0\n",
      " 245.0 245.0 240.0 205.0 200.0]\n",
      "[-- -- -- 110.0 106.0 95.0 88.0 85.0 73.0 5.0 310.0 322.0 335.0 19.0 38.0\n",
      " 86.0 90.0 89.0 73.0 73.0 70.0 70.0 81.0 97.0 115.0 115.0 115.0 115.0 98.0\n",
      " 90.0 76.0 60.0 55.0 51.0 46.0 45.0 50.0 35.0 40.0 40.0 45.0 55.0 85.0 85.0\n",
      " 85.0 85.0 85.0 85.0 85.0 85.0 78.0 75.0 43.0 345.0 265.0 266.0 267.0 270.0\n",
      " 270.0 252.0 245.0 245.0 241.0 238.0 230.0 233.0 235.0 240.0 220.0 220.0\n",
      " 230.0 230.0 243.0 250.0 265.0 265.0 265.0 270.0 270.0 270.0 265.0 262.0\n",
      " 255.0 250.0 240.0 234.0 230.0 230.0 230.0]\n",
      "[-- -- -- 110.0 105.0 85.0 95.0 75.0 77.0 85.0 150.0 160.0 164.0 165.0\n",
      " 100.0 78.0 75.0 105.0 105.0 65.0 56.0 50.0 80.0 90.0 105.0 100.0 95.0 95.0\n",
      " 95.0 95.0 95.0 92.0 90.0 90.0 85.0 85.0 87.0 90.0 95.0 84.0 75.0 75.0 70.0\n",
      " 67.0 65.0 62.0 60.0 64.0 65.0 36.0 35.0 19.0 0.0 245.0 230.0 210.0 210.0\n",
      " 175.0 120.0 113.0 85.0 80.0 70.0 70.0 60.0 54.0 50.0 50.0 50.0 75.0 74.0\n",
      " 70.0 70.0 61.0 57.0 55.0 95.0 104.0 115.0 140.0 140.0 135.0 115.0 95.0\n",
      " 105.0 119.0 120.0 116.0 115.0 295.0 284.0 275.0 271.0 269.0 268.0 265.0\n",
      " 265.0 260.0 245.0 240.0 245.0 245.0 239.0 235.0 225.0 235.0 238.0 241.0\n",
      " 245.0 245.0 260.0 265.0 265.0 265.0 265.0 265.0 255.0 255.0 255.0 255.0\n",
      " 255.0 245.0 240.0]\n",
      "[-- 65.0 64.0 62.0 61.0 60.0 85.0 89.0 90.0 70.0 110.0 105.0 130.0 128.0\n",
      " 120.0 155.0 155.0 155.0 155.0 115.0 105.0 150.0 136.0 100.0 73.0 55.0 44.0\n",
      " 35.0 100.0 125.0 118.0 100.0 90.0 94.0 95.0 90.0 90.0 90.0 90.0 92.0 94.0\n",
      " 95.0 100.0 87.0 78.0 75.0 75.0 75.0 76.0 90.0 100.0 80.0 62.0 20.0 13.0\n",
      " 0.0 350.0 275.0 250.0 105.0 85.0 80.0 74.0 65.0 65.0 65.0 65.0 70.0 70.0\n",
      " 67.0 65.0 37.0 35.0 40.0 75.0 125.0 110.0 112.0 125.0 110.0 110.0 97.0\n",
      " 90.0 98.0 118.0 120.0 105.0 110.0 115.0 150.0 265.0 270.0 281.0 285.0\n",
      " 285.0 285.0 284.0 280.0 269.0 265.0 247.0 235.0 230.0 235.0 240.0 240.0\n",
      " 241.0 242.0 243.0 243.0 243.0 244.0 244.0 248.0 250.0 253.0 256.0 257.0\n",
      " 263.0 270.0 272.0 273.0 275.0 281.0 285.0 260.0 260.0 260.0 260.0 260.0\n",
      " 260.0 260.0 260.0 260.0 260.0 260.0 258.0 257.0 256.0 255.0 250.0 245.0\n",
      " 245.0 245.0 240.0 240.0]\n",
      "[-- 80.0 -- 70.0 70.0 70.0 100.0 96.0 95.0 35.0 40.0 35.0 10.0 324.0 325.0\n",
      " 261.0 240.0 130.0 120.0 135.0 75.0 130.0 200.0 195.0 136.0 120.0 105.0\n",
      " 70.0 85.0 90.0 80.0 95.0 95.0 95.0 95.0 85.0 81.0 80.0 80.0 84.0 90.0 95.0\n",
      " 110.0 104.0 90.0 80.0 70.0 81.0 85.0 102.0 110.0 100.0 85.0 75.0 71.0 40.0\n",
      " 45.0 75.0 80.0 80.0 80.0 70.0 72.0 75.0 75.0 75.0 70.0 60.0 63.0 70.0 70.0\n",
      " 69.0 65.0 66.0 80.0 76.0 75.0 75.0 115.0 160.0 160.0 160.0 162.0 165.0 0.0\n",
      " 5.0 55.0 77.0 100.0 100.0 35.0 15.0 355.0 350.0 329.0 317.0 292.0 290.0\n",
      " 306.0 310.0 324.0 325.0 320.0 299.0 276.0 255.0 257.0 260.0 260.0 257.0\n",
      " 255.0 254.0 243.0 241.0 240.0 241.0 244.0 245.0 245.0 247.0 250.0 250.0\n",
      " 250.0 255.0 255.0 259.0 265.0 250.0 250.0 250.0 250.0 255.0 259.0 260.0\n",
      " 260.0]\n",
      "[-- 119.0 120.0 98.0 85.0 75.0 83.0 110.0 85.0 90.0 40.0 41.0 5.0 85.0\n",
      " 115.0 110.0 105.0 70.0 60.0 60.0 115.0 114.0 155.0 135.0 96.0 85.0 65.0\n",
      " 75.0 80.0 81.0 89.0 90.0 90.0 88.0 85.0 85.0 85.0 75.0 90.0 85.0 81.0 75.0\n",
      " 78.0 85.0 70.0 70.0 115.0 106.0 100.0 93.0 90.0 95.0 90.0 89.0 75.0 70.0\n",
      " 63.0 55.0 55.0 55.0 58.0 63.0 70.0 73.0 79.0 85.0 80.0 80.0 85.0 50.0 60.0\n",
      " 78.0 80.0 145.0 160.0 162.0 165.0 165.0 116.0 98.0 35.0 30.0 20.0 11.0 3.0\n",
      " 350.0 353.0 355.0 0.0 359.0 347.0 345.0 346.0 355.0 355.0 355.0 348.0\n",
      " 281.0 275.0 274.0 265.0 270.0 270.0 265.0 261.0 260.0 253.0 250.0 260.0\n",
      " 262.0 265.0 260.0 250.0 260.0 260.0 250.0 235.0 235.0 235.0 235.0 240.0\n",
      " 240.0 240.0 240.0]\n",
      "[-- -- 155.0 150.0 180.0 155.0 144.0 85.0 90.0 50.0 30.0 335.0 295.0 285.0\n",
      " 140.0 105.0 135.0 113.0 95.0 50.0 51.0 30.0 32.0 53.0 60.0 130.0 129.0\n",
      " 130.0 100.0 90.0 85.0 89.0 90.0 90.0 90.0 90.0 90.0 90.0 90.0 88.0 85.0\n",
      " 90.0 70.0 65.0 30.0 110.0 85.0 82.0 75.0 70.0 80.0 70.0 70.0 65.0 65.0\n",
      " 65.0 60.0 59.0 45.0 60.0 85.0 85.0 88.0 95.0 120.0 115.0 111.0 95.0 105.0\n",
      " 112.0 115.0 165.0 162.0 160.0 159.0 158.0 155.0 155.0 179.0 235.0 210.0\n",
      " 223.0 284.0 305.0 305.0 308.0 322.0 325.0 323.0 321.0 318.0 315.0 309.0\n",
      " 306.0 304.0 299.0 295.0 293.0 290.0 261.0 260.0 265.0 275.0 270.0 261.0\n",
      " 260.0 253.0 250.0 250.0 250.0 250.0 250.0 265.0 265.0 262.0 250.0 255.0\n",
      " 260.0 259.0 257.0 255.0 245.0 245.0 245.0 259.0 260.0 260.0]\n",
      "[-- 114.0 115.0 105.0 105.0 105.0 105.0 60.0 305.0 270.0 80.0 84.0 85.0\n",
      " 70.0 55.0 87.0 145.0 105.0 120.0 121.0 135.0 130.0 126.0 88.0 45.0 48.0\n",
      " 65.0 182.0 220.0 225.0 55.0 105.0 90.0 110.0 105.0 95.0 94.0 90.0 85.0\n",
      " 85.0 85.0 85.0 90.0 85.0 83.0 80.0 86.0 95.0 95.0 95.0 95.0 95.0 85.0 74.0\n",
      " 55.0 56.0 60.0 110.0 117.0 130.0 120.0 117.0 100.0 95.0 80.0 68.0 65.0\n",
      " 65.0 55.0 55.0 50.0 52.0 54.0 56.0 65.0 69.0 75.0 75.0 125.0 125.0 135.0\n",
      " 140.0 135.0 125.0 125.0 125.0 173.0 175.0 175.0 185.0 235.0 155.0 313.0\n",
      " 330.0 340.0 350.0 5.0 360.0 350.0 345.0 345.0 331.0 330.0 325.0 324.0\n",
      " 285.0 286.0 289.0 295.0 295.0 285.0 275.0 275.0 275.0 265.0 265.0 260.0\n",
      " 245.0 240.0 235.0 235.0 240.0 240.0 240.0 240.0]\n",
      "[-- -- -- 80.0 85.0 45.0 64.0 80.0 77.0 74.0 72.0 70.0 70.0 108.0 165.0\n",
      " 205.0 164.0 133.0 90.0 93.0 95.0 90.0 90.0 90.0 90.0 90.0 90.0 112.0 115.0\n",
      " 122.0 135.0 100.0 88.0 65.0 60.0 64.0 65.0 135.0 134.0 130.0 133.0 141.0\n",
      " 144.0 145.0 155.0 155.0 155.0 155.0 150.0 145.0 39.0 29.0 26.0 22.0 18.0\n",
      " 15.0 25.0 19.0 350.0 349.0 346.0 345.0 341.0 328.0 316.0 306.0 303.0 280.0\n",
      " 275.0 276.0 285.0 284.0 280.0 280.0 268.0 265.0 275.0 275.0 280.0 260.0\n",
      " 230.0 237.0 240.0 236.0 235.0 240.0 240.0 240.0 240.0 200.0 200.0]\n",
      "[-- -- 100.0 80.0 75.0 100.0 114.0 120.0 120.0 120.0 120.0 120.0 95.0 85.0\n",
      " 65.0 65.0 65.0 65.0 65.0 65.0 80.0 80.0 80.0 85.0 95.0 96.0 110.0 115.0\n",
      " 119.0 135.0 140.0 135.0 144.0 147.0 160.0 65.0 65.0 65.0 5.0 3.0 350.0\n",
      " 355.0 355.0 355.0 355.0 355.0 351.0 350.0 315.0 296.0 290.0 280.0 275.0\n",
      " 275.0 276.0 279.0 279.0 280.0 285.0 285.0 277.0 260.0 240.0 240.0 230.0\n",
      " 235.0 235.0 235.0 235.0 228.0 225.0 207.0 205.0 200.0]\n",
      "[-- 145.0 -- 141.0 140.0 140.0 130.0 121.0 98.0 90.0 85.0 110.0 110.0 110.0\n",
      " 100.0 20.0 15.0 345.0 15.0 86.0 150.0 100.0 90.0 90.0 90.0 90.0 85.0 115.0\n",
      " 130.0 190.0 190.0 95.0 80.0 70.0 65.0 70.0 82.0 90.0 90.0 91.0 93.0 95.0\n",
      " 95.0 90.0 90.0 90.0 88.0 81.0 80.0 80.0 80.0 73.0 70.0 80.0 90.0 77.0 70.0\n",
      " 65.0 65.0 65.0 85.0 105.0 85.0 83.0 80.0 80.0 77.0 75.0 75.0 75.0 78.0\n",
      " 80.0 84.0 90.0 95.0 101.0 115.0 115.0 116.0 120.0 120.0 120.0 131.0 145.0\n",
      " 138.0 130.0 130.0 110.0 35.0 39.0 40.0 25.0 15.0 20.0 0.0 0.0 0.0 355.0\n",
      " 351.0 350.0 320.0 314.0 305.0 304.0 300.0 300.0 305.0 305.0 305.0 305.0\n",
      " 296.0 292.0 290.0 285.0 280.0 273.0 265.0 250.0 240.0 240.0 235.0 230.0\n",
      " 225.0 225.0 217.0 210.0 218.0 220.0 220.0]\n",
      "[-- 130.0 110.0 110.0 110.0 105.0 99.0 80.0 60.0 325.0 200.0 120.0 195.0\n",
      " 160.0 144.0 105.0 112.0 115.0 80.0 90.0 100.0 135.0 135.0 94.0 90.0 90.0\n",
      " 110.0 94.0 85.0 85.0 87.0 88.0 90.0 90.0 93.0 95.0 90.0 80.0 78.0 75.0\n",
      " 75.0 65.0 57.0 35.0 35.0 35.0 35.0 55.0 85.0 93.0 100.0 85.0 85.0 85.0\n",
      " 85.0 79.0 75.0 72.0 69.0 65.0 65.0 66.0 72.0 75.0 78.0 80.0 80.0 110.0\n",
      " 115.0 134.0 135.0 136.0 137.0 140.0 125.0 120.0 109.0 107.0 106.0 103.0\n",
      " 100.0 97.0 97.0 97.0 96.0 90.0 78.0 60.0 45.0 44.0 42.0 36.0 35.0 34.0\n",
      " 15.0 12.0 11.0 9.0 0.0 255.0 260.0 260.0 275.0 269.0 260.0 255.0 252.0\n",
      " 245.0 210.0 235.0 225.0 225.0 225.0 225.0 237.0 250.0 255.0 250.0 250.0\n",
      " 225.0 225.0 225.0 0.0]\n",
      "[-- -- 130.0 140.0 115.0 116.0 115.0 110.0 88.0 85.0 75.0 65.0 88.0 200.0\n",
      " 125.0 145.0 135.0 115.0 120.0 120.0 130.0 100.0 90.0 110.0 105.0 95.0\n",
      " 100.0 100.0 100.0 85.0 85.0 85.0 93.0 95.0 95.0 100.0 80.0 80.0 80.0 80.0\n",
      " 85.0 70.0 80.0 80.0 51.0 50.0 55.0 58.0 80.0 75.0 70.0 70.0 70.0 75.0 66.0\n",
      " 62.0 55.0 55.0 57.0 64.0 70.0 70.0 73.0 80.0 80.0 85.0 105.0 115.0 110.0\n",
      " 103.0 100.0 99.0 95.0 105.0 110.0 130.0 135.0 135.0 135.0 105.0 105.0\n",
      " 110.0 120.0 115.0 108.0 75.0 75.0 73.0 70.0 65.0 64.0 60.0 58.0 51.0 49.0\n",
      " 45.0 100.0 103.0 105.0 7.0 305.0 302.0 301.0 300.0 299.0 288.0 283.0 280.0\n",
      " 260.0 258.0 251.0 250.0 252.0 255.0 255.0 255.0 245.0 240.0 240.0 240.0\n",
      " 236.0 230.0 225.0 221.0 220.0 205.0 200.0 200.0 200.0]\n",
      "[-- -- 135.0 133.0 120.0 111.0 63.0 55.0 10.0 40.0 95.0 104.0 110.0 60.0\n",
      " 110.0 110.0 120.0 100.0 95.0 90.0 90.0 125.0 90.0 81.0 80.0 80.0 89.0 90.0\n",
      " 90.0 90.0 85.0 105.0 91.0 80.0 80.0 80.0 85.0 78.0 70.0 70.0 70.0 80.0\n",
      " 75.0 70.0 70.0 70.0 85.0 75.0 75.0 72.0 65.0 65.0 60.0 85.0 90.0 90.0\n",
      " 105.0 105.0 112.0 115.0 115.0 115.0 113.0 111.0 109.0 104.0 101.0 100.0\n",
      " 90.0 89.0 75.0 74.0 72.0 71.0 70.0 75.0 76.0 79.0 82.0 82.0 86.0 90.0 91.0\n",
      " 95.0 94.0 90.0 75.0 26.0 15.0 302.0 295.0 295.0 294.0 279.0 273.0 270.0\n",
      " 270.0 270.0 270.0 270.0 270.0 268.0 260.0 255.0 255.0 243.0 240.0 237.0\n",
      " 234.0 225.0 215.0 210.0 205.0 205.0 205.0 0.0]\n",
      "[135.0 -- 135.0 135.0 143.0 165.0 165.0 185.0 135.0 150.0 155.0 155.0 155.0\n",
      " 122.0 0.0 200.0 220.0 205.0 195.0 250.0 260.0 247.0 235.0 230.0 155.0\n",
      " 110.0 99.0 75.0 55.0 50.0 245.0 170.0 125.0 118.0 93.0 90.0 75.0 50.0 56.0\n",
      " 85.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 90.0 95.0 93.0 85.0 83.0 80.0 90.0\n",
      " 90.0 85.0 85.0 85.0 70.0 67.0 65.0 78.0 84.0 90.0 92.0 105.0 65.0 65.0\n",
      " 60.0 55.0 62.0 65.0 65.0 65.0 65.0 65.0 65.0 65.0 70.0 93.0 105.0 105.0\n",
      " 110.0 109.0 108.0 108.0 107.0 105.0 102.0 96.0 87.0 85.0 85.0 90.0 85.0\n",
      " 75.0 74.0 65.0 60.0 94.0 105.0 105.0 110.0 110.0 105.0 100.0 98.0 82.0\n",
      " 70.0 70.0 67.0 65.0 34.0 25.0 35.0 35.0 350.0 325.0 322.0 320.0 320.0\n",
      " 310.0 306.0 300.0 270.0 275.0 225.0 223.0 220.0 220.0 216.0 215.0 212.0\n",
      " 210.0 210.0 210.0 0.0]\n",
      "[-- 50.0 55.0 59.0 65.0 45.0 321.0 320.0 355.0 105.0 190.0 176.0 175.0\n",
      " 200.0 135.0 100.0 104.0 125.0 80.0 60.0 55.0 60.0 62.0 70.0 84.0 90.0 90.0\n",
      " 90.0 90.0 90.0 90.0 90.0 90.0 90.0 91.0 95.0 87.0 85.0 80.0 65.0 73.0 90.0\n",
      " 85.0 85.0 85.0 90.0 85.0 80.0 60.0 60.0 51.0 50.0 50.0 60.0 62.0 65.0 70.0\n",
      " 75.0 78.0 84.0 95.0 97.0 100.0 100.0 105.0 109.0 110.0 107.0 97.0 95.0\n",
      " 95.0 89.0 85.0 84.0 83.0 82.0 81.0 81.0 76.0 75.0 75.0 75.0 75.0 76.0 81.0\n",
      " 84.0 87.0 90.0 90.0 89.0 83.0 80.0 75.0 60.0 81.0 85.0 50.0 45.0 40.0 32.0\n",
      " 30.0 20.0 359.0 335.0 355.0 335.0 327.0 309.0 305.0 305.0 260.0 257.0\n",
      " 250.0 250.0 250.0 250.0 235.0 252.0 270.0 280.0]\n",
      "[-- -- 25.0 85.0 90.0 115.0 100.0 107.0 180.0 65.0 30.0 335.0 0.0 0.0 340.0\n",
      " 297.0 280.0 180.0 105.0 126.0 210.0 199.0 102.0 80.0 80.0 75.0 79.0 100.0\n",
      " 100.0 104.0 105.0 80.0 95.0 94.0 91.0 90.0 90.0 90.0 90.0 90.0 90.0 90.0\n",
      " 85.0 80.0 80.0 80.0 95.0 92.0 90.0 90.0 80.0 100.0 90.0 82.0 75.0 74.0\n",
      " 70.0 55.0 55.0 50.0 47.0 45.0 50.0 50.0 53.0 55.0 57.0 60.0 61.0 65.0 67.0\n",
      " 70.0 73.0 75.0 85.0 89.0 97.0 100.0 105.0 105.0 105.0 95.0 95.0 95.0 90.0\n",
      " 85.0 75.0 76.0 76.0 76.0 76.0 77.0 78.0 79.0 79.0 80.0 80.0 80.0 80.0 80.0\n",
      " 80.0 80.0 80.0 80.0 80.0 80.0 70.0 69.0 58.0 56.0 55.0 55.0 55.0 58.0 60.0\n",
      " 50.0 40.0 23.0 10.0 335.0 315.0 310.0 308.0 305.0 305.0 300.0 298.0 290.0\n",
      " 280.0 277.0 275.0 265.0 349.0 0.0]\n",
      "[-- 5.0 15.0 15.0 330.0 302.0 270.0 168.0 100.0 315.0 323.0 325.0 225.0\n",
      " 165.0 135.0 120.0 114.0 95.0 95.0 92.0 90.0 70.0 95.0 105.0 100.0 100.0\n",
      " 96.0 85.0 85.0 85.0 85.0 85.0 80.0 80.0 80.0 80.0 91.0 100.0 95.0 90.0\n",
      " 90.0 75.0 100.0 105.0 97.0 92.0 80.0 80.0 80.0 65.0 50.0 50.0 49.0 45.0\n",
      " 50.0 69.0 75.0 75.0 79.0 80.0 80.0 80.0 82.0 95.0 105.0 105.0 118.0 125.0\n",
      " 120.0 115.0 110.0 110.0 100.0 90.0 85.0 83.0 76.0 75.0 75.0 70.0 66.0 64.0\n",
      " 62.0 59.0 50.0 51.0 54.0 55.0 55.0 55.0 35.0 30.0 25.0 15.0 7.0 0.0 0.0\n",
      " 350.0 345.0 315.0 285.0 270.0 245.0 244.0 240.0]\n",
      "[-- 190.0 75.0 30.0 190.0 209.0 220.0 190.0 70.0 65.0 55.0 350.0 330.0\n",
      " 265.0 164.0 160.0 25.0 45.0 45.0 40.0 35.0 41.0 45.0 100.0 95.0 89.0 85.0\n",
      " 90.0 95.0 95.0 65.0 70.0 90.0 95.0 95.0 95.0 95.0 95.0 95.0 92.0 87.0 85.0\n",
      " 80.0 80.0 80.0 77.0 70.0 74.0 100.0 90.0 85.0 82.0 75.0 101.0 105.0 110.0\n",
      " 110.0 100.0 97.0 89.0 80.0 75.0 55.0 55.0 55.0 55.0 55.0 70.0 75.0 88.0\n",
      " 90.0 82.0 75.0 73.0 70.0 69.0 65.0 57.0 55.0 55.0 63.0 65.0 74.0 75.0 50.0\n",
      " 45.0 55.0 55.0 61.0 75.0 73.0 71.0 70.0 66.0 65.0 65.0 65.0 67.0 75.0 75.0\n",
      " 73.0 71.0 70.0 55.0 57.0 60.0 64.0 70.0 80.0 73.0 70.0 71.0 80.0 60.0 42.0\n",
      " 25.0 30.0 359.0 350.0 340.0 340.0 310.0 290.0 265.0 237.0 230.0]\n",
      "[-- 65.0 67.0 75.0 155.0 175.0 230.0 130.0 55.0 35.0 325.0 313.0 310.0 50.0\n",
      " 56.0 60.0 65.0 60.0 27.0 0.0 225.0 215.0 210.0 115.0 105.0 95.0 123.0\n",
      " 160.0 123.0 115.0 95.0 105.0 98.0 60.0 62.0 75.0 85.0 90.0 74.0 70.0 80.0\n",
      " 95.0 90.0 90.0 98.0 100.0 80.0 80.0 83.0 85.0 85.0 85.0 90.0 80.0 80.0\n",
      " 76.0 75.0 75.0 100.0 100.0 100.0 96.0 95.0 55.0 50.0 50.0 60.0 60.0 65.0\n",
      " 65.0 65.0 65.0 62.0 60.0 70.0 85.0 80.0 80.0 80.0 72.0 71.0 64.0 60.0 45.0\n",
      " 25.0 10.0 12.0 38.0 46.0 70.0 74.0 80.0 85.0 85.0 85.0 120.0 130.0 110.0\n",
      " 110.0 109.0 105.0 110.0 130.0 135.0 131.0 125.0 115.0 120.0 122.0 130.0\n",
      " 16.0 335.0 35.0 350.0 355.0 0.0 0.0 349.0 340.0 340.0 340.0]\n",
      "[-- 345.0 320.0 5.0 50.0 35.0 50.0 325.0 329.0 285.0 275.0 260.0 190.0\n",
      " 195.0 115.0 80.0 125.0 175.0 145.0 83.0 80.0 73.0 65.0 55.0 75.0 73.0 55.0\n",
      " 90.0 105.0 105.0 102.0 95.0 95.0 95.0 95.0 95.0 90.0 90.0 85.0 100.0 93.0\n",
      " 85.0 80.0 90.0 85.0 70.0 97.0 105.0 105.0 105.0 90.0 65.0 55.0 40.0 41.0\n",
      " 45.0 45.0 45.0 47.0 48.0 50.0 55.0 60.0 65.0 65.0 65.0 65.0 65.0 65.0 75.0\n",
      " 98.0 100.0 105.0 110.0 105.0 95.0 100.0 100.0 100.0 96.0 95.0 75.0 265.0\n",
      " 270.0 308.0 320.0 335.0 335.0 330.0 325.0 320.0 355.0 0.0]\n",
      "[-- 40.0 50.0 60.0 60.0 60.0 60.0 55.0 75.0 95.0 105.0 115.0 113.0 90.0\n",
      " 90.0 85.0 90.0 85.0 80.0 80.0 75.0 80.0 95.0 100.0 100.0 89.0 85.0 75.0\n",
      " 90.0 116.0 155.0 155.0 155.0 150.0 100.0 60.0 58.0 30.0 20.0 15.0 15.0\n",
      " 40.0 35.0 30.0 35.0 38.0 55.0 75.0 80.0 85.0 85.0 115.0 115.0 115.0 133.0\n",
      " 135.0 135.0 145.0 141.0 140.0 135.0 135.0 125.0 125.0 128.0 130.0 125.0\n",
      " 130.0 133.0 135.0 115.0 175.0 240.0 285.0 305.0 315.0 325.0 333.0 335.0\n",
      " 340.0]\n",
      "[-- 90.0 50.0 53.0 60.0 55.0 245.0 252.0 260.0 329.0 10.0 345.0 335.0 270.0\n",
      " 270.0 300.0 280.0 272.0 230.0 305.0 305.0 285.0 248.0 255.0 160.0 115.0\n",
      " 110.0 110.0 110.0 110.0 103.0 80.0 70.0 65.0 65.0 55.0 50.0 65.0 70.0 78.0\n",
      " 90.0 100.0 100.0 95.0 95.0 100.0 100.0 105.0 104.0 79.0 70.0 70.0 70.0\n",
      " 75.0 75.0 75.0 75.0 75.0 85.0 60.0 1.0 325.0 90.0 110.0 105.0 65.0 45.0\n",
      " 40.0 37.0 34.0 33.0 28.0 20.0 20.0 29.0 38.0 40.0 40.0 49.0 60.0 70.0 75.0\n",
      " 100.0 110.0 102.0 100.0 100.0 103.0 115.0 135.0 130.0 117.0 110.0 114.0\n",
      " 130.0 135.0 147.0 160.0 145.0 140.0 130.0 130.0 135.0 136.0 139.0 145.0\n",
      " 140.0 140.0 130.0 125.0 125.0 149.0 175.0 210.0 225.0 230.0 237.0 280.0\n",
      " 315.0 315.0 315.0 344.0 40.0 5.0 0.0]\n",
      "[-- 60.0 50.0 330.0 245.0 241.0 235.0 177.0 55.0 265.0 284.0 295.0 295.0\n",
      " 293.0 290.0 240.0 305.0 305.0 305.0 285.0 255.0 169.0 150.0 140.0 145.0\n",
      " 122.0 85.0 95.0 100.0 99.0 90.0 83.0 70.0 65.0 68.0 94.0 100.0 95.0 100.0\n",
      " 100.0 72.0 70.0 70.0 70.0 70.0 70.0 50.0 25.0 20.0 15.0 5.0 10.0 330.0\n",
      " 160.0 140.0 120.0 60.0 40.0 30.0 25.0 29.0 33.0 35.0 40.0 54.0 65.0 50.0\n",
      " 45.0 54.0 65.0 70.0 72.0 78.0 80.0 107.0 125.0 120.0 120.0 125.0 130.0\n",
      " 144.0 150.0 135.0 134.0 130.0 130.0 142.0 150.0 163.0 165.0 169.0 170.0\n",
      " 170.0 165.0 163.0 150.0 155.0 170.0 185.0 200.0 330.0 330.0 330.0 330.0\n",
      " 5.0 30.0 21.0 20.0 5.0 5.0 5.0 335.0 330.0]\n",
      "[-- 50.0 45.0 30.0 10.0 10.0 335.0 335.0 350.0 1.0 10.0 310.0 280.0 275.0\n",
      " 270.0 270.0 265.0 286.0 290.0 0.0 321.0 280.0 260.0 275.0 280.0 265.0\n",
      " 125.0 125.0 116.0 105.0 115.0 90.0 86.0 80.0 85.0 85.0 90.0 90.0 100.0\n",
      " 105.0 105.0 95.0 95.0 90.0 80.0 83.0 95.0 91.0 83.0 80.0 65.0 60.0 59.0\n",
      " 35.0 30.0 24.0 20.0 10.0 110.0 117.0 120.0 100.0 91.0 90.0 70.0 38.0 35.0\n",
      " 33.0 30.0 30.0 31.0 38.0 45.0 50.0 79.0 80.0 90.0 140.0 139.0 138.0 138.0\n",
      " 137.0 137.0 122.0 120.0 130.0 132.0 135.0 145.0 135.0 130.0 125.0 150.0\n",
      " 147.0 145.0 145.0 145.0 145.0 145.0 151.0 152.0 155.0 155.0 153.0 150.0\n",
      " 150.0 160.0 186.0 195.0 215.0 218.0 220.0 219.0 210.0 195.0 190.0 175.0\n",
      " 170.0 162.0 145.0 145.0 145.0 74.0 330.0 24.0 70.0 70.0]\n",
      "[-- -- -- 295.0 310.0 314.0 319.0 321.0 105.0 330.0 78.0 70.0 26.0 15.0\n",
      " 70.0 110.0 345.0 330.0 303.0 290.0 295.0 265.0 280.0 55.0 10.0 320.0 359.0\n",
      " 5.0 330.0 330.0 300.0 120.0 95.0 90.0 91.0 93.0 95.0 85.0 80.0 87.0 90.0\n",
      " 100.0 115.0 100.0 70.0 55.0 48.0 40.0 42.0 45.0 60.0 115.0 105.0 50.0 75.0\n",
      " 95.0 95.0 92.0 65.0 60.0 58.0 50.0 50.0 50.0 55.0 52.0 42.0 35.0 40.0 45.0\n",
      " 46.0 50.0 52.0 59.0 60.0 60.0 110.0 112.0 130.0 131.0 135.0 140.0 145.0\n",
      " 170.0 165.0 164.0 148.0 136.0 135.0 135.0 135.0 135.0 139.0 140.0 140.0\n",
      " 140.0 140.0 140.0 140.0 140.0 140.0 140.0 142.0 151.0 155.0 155.0 140.0\n",
      " 140.0 160.0 179.0 185.0 175.0 140.0 134.0 125.0 140.0 151.0 165.0 125.0\n",
      " 108.0 100.0 100.0 102.0 105.0 105.0 105.0 103.0 100.0 105.0 105.0 105.0\n",
      " 0.0]\n",
      "[-- 115.0 100.0 250.0 225.0 222.0 220.0 285.0 315.0 330.0 318.0 315.0 280.0\n",
      " 282.0 290.0 255.0 260.0 240.0 225.0 120.0 80.0 353.0 345.0 1.0 70.0 47.0\n",
      " 45.0 100.0 125.0 125.0 60.0 74.0 85.0 89.0 90.0 90.0 90.0 85.0 89.0 90.0\n",
      " 95.0 100.0 95.0 93.0 70.0 65.0 85.0 110.0 110.0 124.0 130.0 85.0 85.0 85.0\n",
      " 70.0 55.0 75.0 115.0 90.0 90.0 65.0 65.0 75.0 75.0 60.0 50.0 52.0 75.0\n",
      " 155.0 152.0 135.0 138.0 148.0 150.0 195.0 190.0 153.0 115.0 117.0 125.0\n",
      " 145.0 144.0 144.0 141.0 135.0 135.0 140.0 139.0 138.0 136.0 135.0 138.0\n",
      " 140.0 139.0 138.0 135.0 135.0 135.0 135.0 135.0 135.0 135.0 142.0 145.0\n",
      " 100.0 105.0 114.0 115.0 110.0 122.0 135.0 125.0 125.0 125.0 130.0 131.0\n",
      " 160.0 160.0 160.0 0.0]\n",
      "[-- -- 200.0 265.0 270.0 225.0 168.0 90.0 95.0 115.0 145.0 155.0 110.0 75.0\n",
      " 100.0 100.0 95.0 95.0 95.0 95.0 95.0 85.0 85.0 85.0 90.0 102.0 110.0 117.0\n",
      " 120.0 90.0 80.0 80.0 65.0 68.0 85.0 100.0 112.0 115.0 100.0 100.0 100.0\n",
      " 85.0 50.0 95.0 110.0 85.0 85.0 90.0 100.0 85.0 85.0 85.0 75.0 75.0 75.0\n",
      " 70.0 70.0 76.0 79.0 80.0 107.0 125.0 116.0 105.0 120.0 113.0 95.0 75.0\n",
      " 75.0 79.0 105.0 101.0 98.0 97.0 93.0 91.0 90.0 113.0 115.0 125.0 125.0\n",
      " 125.0 125.0 125.0 125.0 125.0 125.0 125.0 126.0 127.0 128.0 129.0 130.0\n",
      " 132.0 133.0 135.0 135.0 134.0 134.0 133.0 131.0 130.0 134.0 135.0 131.0\n",
      " 125.0 120.0 115.0 115.0 115.0 135.0 145.0 150.0 155.0 170.0 185.0 0.0 0.0]\n",
      "[-- 60.0 48.0 35.0 320.0 275.0 271.0 275.0 265.0 295.0 280.0 250.0 240.0\n",
      " 280.0 285.0 290.0 315.0 313.0 310.0 250.0 234.0 155.0 205.0 202.0 170.0\n",
      " 175.0 95.0 75.0 84.0 95.0 95.0 95.0 95.0 90.0 90.0 90.0 90.0 85.0 85.0\n",
      " 85.0 85.0 94.0 105.0 135.0 120.0 110.0 105.0 97.0 75.0 92.0 105.0 105.0\n",
      " 105.0 100.0 100.0 100.0 93.0 70.0 55.0 105.0 108.0 110.0 110.0 80.0 75.0\n",
      " 81.0 90.0 110.0 120.0 120.0 120.0 101.0 100.0 75.0 58.0 45.0 50.0 53.0\n",
      " 55.0 81.0 90.0 85.0 78.0 75.0 77.0 85.0 90.0 90.0 90.0 90.0 99.0 105.0\n",
      " 113.0 120.0 125.0 115.0 110.0 110.0 110.0 110.0 110.0 120.0 130.0 130.0\n",
      " 130.0 130.0 130.0 129.0 125.0 115.0 125.0 130.0 140.0 143.0 145.0 130.0\n",
      " 130.0 133.0 135.0 140.0 155.0 159.0 166.0 170.0 205.0 185.0 182.0 180.0]\n",
      "[-- 52.0 60.0 340.0 300.0 290.0 280.0 240.0 330.0 295.0 270.0 273.0 275.0\n",
      " 245.0 40.0 30.0 5.0 330.0 275.0 221.0 130.0 345.0 345.0 28.0 110.0 95.0\n",
      " 90.0 130.0 118.0 85.0 85.0 90.0 90.0 94.0 95.0 85.0 70.0 100.0 118.0 130.0\n",
      " 135.0 125.0 91.0 75.0 66.0 61.0 60.0 85.0 104.0 105.0 105.0 101.0 95.0\n",
      " 80.0 70.0 65.0 80.0 90.0 110.0 110.0 110.0 110.0 116.0 119.0 123.0 125.0\n",
      " 125.0 110.0 125.0 130.0 130.0 129.0 120.0 115.0 95.0 89.0 59.0 55.0 63.0\n",
      " 71.0 84.0 85.0 85.0 87.0 90.0 85.0 80.0 83.0 92.0 104.0 115.0 110.0 104.0\n",
      " 100.0 100.0 99.0 95.0 95.0 95.0 95.0 95.0 95.0 95.0 95.0 95.0 95.0 97.0\n",
      " 100.0 100.0 107.0 110.0 110.0 110.0 130.0 130.0 130.0 136.0 140.0 135.0\n",
      " 135.0 115.0 112.0 110.0 120.0 140.0 146.0 195.0 195.0 195.0 327.0 0.0]\n",
      "[-- 185.0 155.0 115.0 145.0 245.0 240.0 240.0 231.0 200.0 202.0 205.0 290.0\n",
      " 270.0 280.0 275.0 260.0 251.0 180.0 175.0 300.0 313.0 30.0 20.0 25.0 70.0\n",
      " 90.0 65.0 66.0 94.0 95.0 90.0 90.0 90.0 90.0 85.0 85.0 90.0 94.0 95.0\n",
      " 110.0 95.0 100.0 85.0 70.0 81.0 85.0 110.0 105.0 104.0 100.0 95.0 76.0\n",
      " 70.0 70.0 45.0 55.0 65.0 80.0 85.0 90.0 100.0 105.0 101.0 95.0 105.0 115.0\n",
      " 115.0 120.0 115.0 115.0 115.0 110.0 100.0 96.0 87.0 81.0 80.0 100.0 100.0\n",
      " 100.0 100.0 105.0 97.0 95.0 95.0 95.0 95.0 95.0 95.0 95.0 95.0 95.0 91.0\n",
      " 82.0 81.0 78.0 76.0 75.0 74.0 73.0 70.0 110.0 110.0 110.0 97.0 91.0 90.0\n",
      " 86.0 85.0 84.0 80.0 95.0 98.0 130.0 133.0 155.0 155.0 135.0 160.0 160.0\n",
      " 170.0 175.0 170.0 343.0 350.0 350.0 350.0]\n",
      "[-- 150.0 210.0 225.0 350.0 347.0 240.0 220.0 114.0 110.0 103.0 93.0 90.0\n",
      " 90.0 90.0 80.0 81.0 100.0 105.0 125.0 122.0 121.0 118.0 115.0 111.0 80.0\n",
      " 75.0 55.0 65.0 68.0 69.0 70.0 65.0 97.0 105.0 100.0 95.0 107.0 113.0 120.0\n",
      " 116.0 113.0 110.0 108.0 105.0 105.0 105.0 80.0 80.0 80.0 79.0 76.0 70.0\n",
      " 65.0 70.0 75.0 78.0 85.0 79.0 75.0 70.0 65.0 65.0 65.0 65.0 65.0 65.0 65.0\n",
      " 74.0 75.0 76.0 76.0 78.0 80.0 105.0 105.0 100.0 160.0 160.0 125.0 184.0\n",
      " 220.0 240.0 273.0 275.0 279.0 315.0 5.0 8.0 10.0]\n",
      "[-- 245.0 225.0 345.0 270.0 290.0 335.0 317.0 305.0 298.0 290.0 275.0 286.0\n",
      " 90.0 104.0 105.0 115.0 60.0 110.0 102.0 85.0 85.0 85.0 90.0 97.0 105.0\n",
      " 99.0 96.0 95.0 95.0 78.0 65.0 77.0 80.0 85.0 70.0 115.0 130.0 130.0 120.0\n",
      " 120.0 80.0 73.0 65.0 95.0 86.0 80.0 75.0 52.0 50.0 60.0 65.0 95.0 85.0\n",
      " 84.0 81.0 80.0 80.0 80.0 80.0 82.0 85.0 85.0 85.0 91.0 100.0 104.0 110.0\n",
      " 109.0 98.0 85.0 85.0 87.0 90.0 83.0 81.0 77.0 65.0 60.0 65.0 65.0 70.0\n",
      " 72.0 75.0 70.0 60.0 60.0 60.0 60.0 60.0 60.0 60.0 60.0 60.0 60.0 60.0 45.0\n",
      " 38.0 30.0 40.0 40.0 40.0 50.0 70.0 75.0 220.0 239.0 260.0 275.0 285.0\n",
      " 300.0 290.0 290.0 290.0]\n",
      "[-- 70.0 70.0 40.0 340.0 40.0 45.0 90.0 95.0 200.0 275.0 245.0 170.0 275.0\n",
      " 255.0 85.0 55.0 50.0 250.0 257.0 260.0 320.0 335.0 45.0 40.0 35.0 40.0\n",
      " 62.0 65.0 110.0 95.0 94.0 91.0 87.0 85.0 85.0 100.0 104.0 105.0 100.0 98.0\n",
      " 80.0 80.0 65.0 79.0 81.0 85.0 65.0 60.0 135.0 125.0 70.0 50.0 48.0 45.0\n",
      " 89.0 95.0 80.0 80.0 70.0 70.0 89.0 95.0 95.0 97.0 99.0 100.0 100.0 88.0\n",
      " 60.0 61.0 65.0 65.0 55.0 60.0 64.0 75.0 90.0 90.0 93.0 95.0 85.0 85.0 65.0\n",
      " 65.0 66.0 66.0 69.0 70.0 70.0 70.0 70.0 70.0 68.0 63.0 62.0 59.0 58.0 55.0\n",
      " 54.0 50.0 47.0 45.0 45.0 44.0 42.0 40.0 38.0 37.0 35.0 30.0 35.0 35.0 45.0\n",
      " 40.0 41.0 44.0 50.0 37.0 25.0 25.0 350.0 335.0 340.0 340.0 344.0 25.0\n",
      " 341.0 300.0 285.0]\n",
      "[-- 120.0 91.0 80.0 70.0 0.0 300.0 235.0 185.0 230.0 215.0 30.0 275.0 240.0\n",
      " 240.0 225.0 231.0 235.0 90.0 115.0 78.0 60.0 60.0 60.0 63.0 73.0 90.0 85.0\n",
      " 90.0 85.0 80.0 81.0 90.0 100.0 105.0 65.0 65.0 90.0 94.0 95.0 80.0 85.0\n",
      " 91.0 100.0 75.0 65.0 70.0 75.0 110.0 110.0 110.0 106.0 90.0 60.0 75.0 90.0\n",
      " 80.0 80.0 95.0 91.0 85.0 67.0 63.0 57.0 50.0 40.0 40.0 55.0 95.0 80.0 75.0\n",
      " 80.0 82.0 85.0 95.0 90.0 90.0 90.0 81.0 75.0 63.0 61.0 60.0 63.0 68.0 70.0\n",
      " 67.0 65.0 63.0 61.0 56.0 55.0 52.0 51.0 50.0 41.0 40.0 40.0 38.0 38.0 36.0\n",
      " 36.0 36.0 35.0 25.0 10.0 10.0 10.0 13.0 15.0 15.0 15.0 6.0 355.0 355.0\n",
      " 10.0 331.0 310.0 310.0 310.0 310.0 310.0 345.0 350.0 354.0 358.0 0.0]\n",
      "[-- -- 45.0 343.0 284.0 265.0 267.0 268.0 270.0 265.0 225.0 197.0 161.0\n",
      " 93.0 85.0 77.0 76.0 75.0 78.0 86.0 89.0 98.0 100.0 115.0 115.0 113.0 112.0\n",
      " 110.0 93.0 60.0 61.0 80.0 87.0 90.0 90.0 85.0 81.0 77.0 76.0 75.0 75.0\n",
      " 77.0 80.0 80.0 80.0 80.0 80.0 80.0 79.0 78.0 74.0 72.0 72.0 72.0 71.0 70.0\n",
      " 68.0 68.0 67.0 66.0 65.0 60.0 55.0 52.0 51.0 50.0 48.0 45.0 36.0 34.0 28.0\n",
      " 25.0 25.0 27.0 30.0 30.0 30.0 30.0 15.0 5.0 0.0 1.0 5.0 5.0 345.0 320.0\n",
      " 315.0 310.0 300.0 315.0 320.0]\n",
      "[-- 285.0 286.0 290.0 250.0 175.0 170.0 0.0 345.0 345.0 355.0 325.0 280.0\n",
      " 185.0 210.0 131.0 110.0 78.0 75.0 67.0 55.0 81.0 90.0 95.0 98.0 100.0\n",
      " 100.0 95.0 95.0 95.0 95.0 115.0 109.0 85.0 85.0 85.0 85.0 70.0 74.0 78.0\n",
      " 79.0 80.0 80.0 140.0 140.0 147.0 155.0 95.0 95.0 95.0 95.0 95.0 85.0 81.0\n",
      " 65.0 62.0 60.0 64.0 70.0 70.0 70.0 72.0 75.0 60.0 55.0 55.0 48.0 45.0 45.0\n",
      " 37.0 26.0 25.0 25.0 25.0 25.0 23.0 21.0 16.0 12.0 10.0 20.0 31.0 44.0 55.0\n",
      " 40.0 35.0 32.0 30.0 30.0 40.0 40.0 30.0 30.0 20.0 358.0 345.0 335.0 320.0\n",
      " 320.0 310.0 309.0 305.0 305.0 305.0 301.0 300.0 301.0 310.0 310.0]\n",
      "[-- 80.0 47.0 45.0 30.0 20.0 345.0 215.0 265.0 260.0 230.0 240.0 305.0\n",
      " 318.0 320.0 335.0 275.0 182.0 160.0 180.0 175.0 90.0 25.0 47.0 194.0 205.0\n",
      " 130.0 122.0 110.0 99.0 60.0 80.0 80.0 85.0 85.0 88.0 90.0 92.0 94.0 95.0\n",
      " 97.0 100.0 100.0 105.0 100.0 87.0 80.0 65.0 50.0 62.0 65.0 72.0 91.0 120.0\n",
      " 155.0 163.0 175.0 175.0 105.0 90.0 88.0 85.0 75.0 76.0 80.0 75.0 75.0 80.0\n",
      " 85.0 95.0 98.0 100.0 100.0 103.0 105.0 109.0 111.0 112.0 115.0 96.0 82.0\n",
      " 80.0 80.0 90.0 87.0 71.0 70.0 70.0 68.0 66.0 60.0 54.0 52.0 49.0 45.0 44.0\n",
      " 40.0 38.0 37.0 33.0 31.0 30.0 30.0 30.0 30.0 30.0 30.0 30.0 10.0 10.0 10.0\n",
      " 355.0 325.0 310.0 310.0 300.0 300.0 300.0 305.0 305.0 305.0 304.0 300.0\n",
      " 295.0 290.0 290.0 290.0]\n",
      "[-- 110.0 100.0 75.0 15.0 280.0 270.0 205.0 195.0 195.0 325.0 315.0 345.0\n",
      " 345.0 345.0 282.0 265.0 265.0 267.0 290.0 295.0 305.0 305.0 285.0 260.0\n",
      " 270.0 218.0 150.0 125.0 98.0 85.0 86.0 90.0 88.0 85.0 85.0 85.0 85.0 85.0\n",
      " 85.0 85.0 85.0 85.0 89.0 90.0 90.0 105.0 108.0 115.0 110.0 106.0 60.0 77.0\n",
      " 89.0 120.0 129.0 135.0 134.0 102.0 95.0 85.0 85.0 75.0 75.0 78.0 80.0 80.0\n",
      " 80.0 75.0 75.0 75.0 70.0 76.0 90.0 99.0 100.0 106.0 113.0 120.0 124.0\n",
      " 125.0 125.0 125.0 125.0 125.0 115.0 110.0 42.0 0.0 50.0 52.0 70.0 62.0\n",
      " 25.0 20.0 14.0 10.0 315.0 312.0 310.0 330.0 330.0 330.0 325.0 325.0 325.0\n",
      " 325.0 328.0 330.0 325.0 325.0 321.0 320.0 317.0 310.0 320.0 320.0 320.0]\n"
     ]
    }
   ],
   "source": [
    "# Interpolates a single variable data_in from A SINGLE .TXT FILE onto goal_hghts\n",
    "def interp_all(data_str, goal_hghts, data_in):\n",
    "    data_out = np.empty([len(goal_hghts), data_in[data_str].shape[1]])\n",
    "    for i in range(data_in[data_str].shape[1]):\n",
    "        hght_mask = np.where(data_in['pres'][::-1,i].mask == False)\n",
    "        data_mask = np.where(data_in[data_str][::-1,i].mask == False)\n",
    "        print(data_in[data_str][::-1,i][hght_mask])\n",
    "        data_in[data_str][::-1,i][hght_mask][np.where(abs(data_in[data_str][::-1,i][hght_mask]) == 999)] = np.nan\n",
    "        data_in['pres'][::-1,i][hght_mask][np.where(abs(data_in['pres'][::-1,i][hght_mask]) == 999)] = np.nan\n",
    "        data_out[:,i] = np.interp(goal_hghts[::-1], data_in['pres'][::-1,i][hght_mask], \\\n",
    "                                  data_in[data_str][::-1,i][hght_mask], left=np.nan, right=np.nan)\n",
    "    data_out = data_out[::-1,:]\n",
    "    return(data_out)\n",
    "\n",
    "####################################\n",
    "# Processes Palau for August 2018 #\n",
    "####################################\n",
    "\n",
    "file_list = list('/Volumes/cruiseshare/Soundings/Palau/91408_KororPalau/201808.txt')\n",
    "\n",
    "palau = SkewT.Sounding(filename='/Volumes/cruiseshare/Soundings/Palau/91408_KororPalau/201808.txt', fmt='PALAU', date_to_read = 0, init_plot = 0)\n",
    "\n",
    "# Reads Palau for August\n",
    "\n",
    "ntimes = 0 #number of days\n",
    "ntimes = ntimes + palau.data['temp'].shape[1]\n",
    "print(ntimes)\n",
    "#S1.fig.legend()\n",
    "\n",
    "#temp = np.empty(palau['temp'].shape)\n",
    "#z = np.linspace(0, 17000, 300)\n",
    "#for i in range(len(z)palau['hght'].shape[1]):\n",
    "#    temp[:,i] = np.interp(z, palau['hght'][:,i], palau['temp'][:,i])\n",
    "    #dwpt = interp_all(palau, z, 'dwpt')\n",
    "    #pres = interp_all(palau, z, 'pres')\n",
    "\n",
    "pal_sknt = interp_all('sknt', pres, palau)\n",
    "pal_drct = interp_all('drct', pres, palau)\n",
    "\n",
    "pal_u = pal_sknt*np.cos(np.radians(270-pal_drct))\n",
    "pal_v = pal_sknt*np.sin(np.radians(270-pal_drct))\n",
    "\n",
    "pal_u850 = pal_u[np.argmin(abs(pres - 850)), :]\n",
    "pal_u200 = pal_u[np.argmin(abs(pres - 200)), :]\n",
    "\n",
    "pal_v850 = pal_v[np.argmin(abs(pres - 850)), :]\n",
    "pal_v200 = pal_v[np.argmin(abs(pres - 200)), :]\n",
    "\n",
    "pal_lon = 134.48\n",
    "pal_lat = 7.34\n",
    "pal_dates = palau.sounding_date[79:]\n",
    "\n",
    "pal_u850 = pal_u850[79:]\n",
    "pal_u200 = pal_u200[79:]\n",
    "\n",
    "pal_v850 = pal_v850[79:]\n",
    "pal_v200 = pal_v200[79:]\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "56\n",
      "[-- 42.0 47.0 49.0 50.0 52.0 38.0 35.0 33.0 29.0 26.0 32.0 40.0 39.0 46.0\n",
      " 48.0 65.0 65.0 65.0 58.0 39.0 29.0 29.0 23.0 21.0 16.0 17.0 22.0 29.0 36.0\n",
      " 63.0 72.0 75.0 78.0 78.0 80.0 80.0 77.0 74.0 71.0 57.0 49.0 47.0 46.0 42.0\n",
      " 33.0 31.0 33.0 39.0 44.0 44.0 47.0 49.0 51.0 46.0 40.0 34.0 30.0 25.0 23.0\n",
      " 25.0 29.0 30.0 33.0 34.0 34.0 35.0 35.0 36.0 36.0 34.0 32.0 31.0 30.0 28.0\n",
      " 27.0 26.0 24.0 24.0 24.0 24.0 24.0 22.0 20.0 11.0 8.0 7.0 4.0 8.0 12.0\n",
      " 14.0 14.0 13.0 13.0 13.0 12.0 12.0 9.0 9.0 10.0 10.0 11.0 11.0 11.0 11.0\n",
      " 12.0 12.0 12.0 11.0 10.0 10.0 9.0 8.0 7.0 7.0 10.0 11.0 12.0 12.0 10.0\n",
      " 10.0 11.0 12.0 12.0 13.0 13.0 14.0 17.0 17.0 14.0 12.0 13.0 14.0 15.0 16.0\n",
      " 18.0 19.0 19.0 20.0 17.0 16.0 15.0 17.0 18.0 17.0 15.0 15.0 12.0 13.0 16.0\n",
      " 14.0 7.0 6.0]\n",
      "[-- -- -- -- -- 21.0 13.0 16.0 17.0 18.0 20.0 22.0 25.0 29.0 36.0 40.0 42.0\n",
      " 44.0 51.0 57.0 63.0 64.0 64.0 63.0 63.0 57.0 56.0 56.0 55.0 51.0 40.0 42.0\n",
      " 41.0 41.0 41.0 40.0 40.0 39.0 38.0 37.0 37.0 38.0 39.0 39.0 40.0 39.0 39.0\n",
      " 36.0 35.0 35.0 33.0 33.0 29.0 23.0 19.0 18.0 18.0 19.0 20.0 18.0 17.0 15.0\n",
      " 15.0 14.0 14.0 13.0 11.0 10.0 10.0 9.0 9.0 9.0 9.0 8.0 8.0 7.0 6.0 4.0 3.0\n",
      " 2.0 2.0 2.0 3.0 4.0 4.0 4.0 4.0 4.0 4.0 4.0 4.0 4.0 4.0 5.0 5.0 5.0 12.0\n",
      " 12.0 12.0 10.0 10.0 10.0 11.0 13.0 12.0 12.0 12.0 12.0 13.0 14.0 15.0 15.0\n",
      " 15.0 16.0 15.0 15.0 16.0 19.0 19.0 20.0 20.0 19.0 17.0 17.0 17.0 17.0 17.0\n",
      " 17.0 12.0 12.0 12.0 10.0 7.0 2.0]\n",
      "[-- 30.0 50.0 45.0 39.0 29.0 30.0 24.0 29.0 16.0 17.0 17.0 31.0 45.0 42.0\n",
      " 41.0 40.0 40.0 39.0 38.0 37.0 36.0 49.0 51.0 57.0 63.0 66.0 66.0 66.0 61.0\n",
      " 57.0 58.0 60.0 59.0 57.0 56.0 55.0 53.0 53.0 56.0 56.0 49.0 43.0 42.0 35.0\n",
      " 35.0 36.0 36.0 34.0 32.0 31.0 33.0 43.0 49.0 47.0 45.0 37.0 37.0 29.0 29.0\n",
      " 29.0 31.0 33.0 33.0 34.0 35.0 36.0 31.0 30.0 30.0 29.0 29.0 27.0 29.0 25.0\n",
      " 23.0 22.0 22.0 22.0 21.0 20.0 20.0 15.0 12.0 11.0 11.0 12.0 12.0 11.0 8.0\n",
      " 6.0 4.0 3.0 2.0 1.0 0.0 0.0 1.0 2.0 3.0 5.0 4.0 3.0 2.0 2.0 3.0 4.0 5.0\n",
      " 6.0 6.0 7.0 7.0 8.0 8.0 9.0 10.0 11.0 11.0 11.0 11.0 12.0 12.0 12.0 13.0\n",
      " 13.0 13.0 14.0 18.0 18.0 18.0 17.0 18.0 18.0 19.0 20.0 18.0 18.0 15.0 14.0\n",
      " 12.0 12.0 10.0 7.0 5.0 4.0]\n",
      "[-- 38.0 42.0 43.0 31.0 30.0 27.0 25.0 38.0 36.0 29.0 36.0 40.0 34.0 34.0\n",
      " 18.0 15.0 17.0 19.0 17.0 25.0 31.0 36.0 44.0 46.0 40.0 38.0 37.0 37.0 36.0\n",
      " 36.0 39.0 46.0 59.0 74.0 74.0 74.0 70.0 68.0 56.0 53.0 45.0 45.0 44.0 45.0\n",
      " 46.0 47.0 54.0 55.0 47.0 47.0 46.0 46.0 45.0 41.0 38.0 34.0 33.0 31.0 27.0\n",
      " 23.0 24.0 24.0 26.0 35.0 40.0 41.0 41.0 37.0 30.0 28.0 28.0 27.0 24.0 24.0\n",
      " 24.0 23.0 23.0 23.0 23.0 23.0 22.0 22.0 22.0 21.0 21.0 21.0 21.0 20.0 20.0\n",
      " 19.0 19.0 18.0 13.0 12.0 11.0 8.0 7.0 5.0 3.0 3.0 3.0 4.0 4.0 4.0 4.0 4.0\n",
      " 5.0 5.0 5.0 5.0 6.0 6.0 6.0 6.0 7.0 7.0 7.0 6.0 6.0 5.0 5.0 5.0 5.0 6.0\n",
      " 6.0 6.0 9.0 10.0 10.0 10.0 10.0 11.0 12.0 14.0 18.0 18.0 17.0 17.0 17.0\n",
      " 17.0 17.0 18.0 19.0 19.0 20.0 21.0 21.0 19.0 19.0 16.0 15.0 13.0 8.0 5.0\n",
      " 4.0]\n",
      "[-- 15.0 49.0 38.0 37.0 36.0 36.0 46.0 55.0 64.0 75.0 75.0 73.0 72.0 70.0\n",
      " 69.0 66.0 51.0 47.0 47.0 48.0 48.0 48.0 47.0 34.0 33.0 39.0 46.0 43.0 41.0\n",
      " 40.0 39.0 38.0 37.0 37.0 37.0 36.0 36.0 35.0 34.0 34.0 33.0 33.0 32.0 30.0\n",
      " 29.0 27.0 27.0 26.0 26.0 29.0 27.0 24.0 23.0 20.0 7.0 1.0 6.0 12.0 12.0\n",
      " 12.0 11.0 11.0 10.0 12.0 13.0 13.0 13.0 12.0 14.0 15.0 14.0 14.0 14.0 14.0\n",
      " 14.0 14.0 14.0 14.0 11.0 11.0 11.0 12.0 12.0 12.0 12.0 12.0 12.0 12.0 12.0\n",
      " 12.0 12.0 12.0 13.0 13.0 13.0 13.0 16.0 20.0 18.0 18.0 16.0 17.0 18.0 22.0\n",
      " 19.0 18.0 18.0 17.0 15.0 17.0 17.0 16.0 12.0 10.0 4.0]\n",
      "[24.0 -- 39.0 34.0 34.0 36.0 37.0 40.0 42.0 44.0 43.0 28.0 19.0 19.0 22.0\n",
      " 25.0 24.0 24.0 25.0 28.0 28.0 22.0 14.0 12.0 11.0 11.0 14.0 16.0 39.0 42.0\n",
      " 48.0 56.0 56.0 64.0 79.0 82.0 83.0 83.0 81.0 79.0 76.0 71.0 59.0 50.0 44.0\n",
      " 44.0 31.0 24.0 39.0 37.0 36.0 23.0 23.0 33.0 43.0 42.0 39.0 34.0 33.0 32.0\n",
      " 30.0 21.0 29.0 35.0 39.0 32.0 33.0 37.0 39.0 31.0 28.0 27.0 25.0 25.0 23.0\n",
      " 21.0 19.0 19.0 18.0 17.0 16.0 16.0 16.0 17.0 18.0 17.0 18.0 16.0 14.0 14.0\n",
      " 3.0 1.0 2.0 5.0 5.0 6.0 12.0 15.0 18.0 17.0 15.0 16.0 16.0 16.0 16.0 16.0\n",
      " 18.0 17.0 17.0 15.0 14.0 13.0 13.0 13.0 14.0 14.0 14.0 14.0 14.0 13.0 12.0\n",
      " 12.0 11.0 13.0 14.0 17.0 23.0 22.0 22.0 23.0 23.0 24.0 25.0 25.0 27.0 28.0\n",
      " 28.0 28.0 29.0 31.0 31.0 31.0 33.0 33.0 34.0 27.0 27.0 19.0 12.0 11.0]\n",
      "[-- 41.0 29.0 43.0 46.0 46.0 33.0 40.0 42.0 41.0 33.0 26.0 25.0 22.0 18.0\n",
      " 18.0 11.0 13.0 13.0 19.0 26.0 31.0 32.0 34.0 26.0 24.0 22.0 19.0 6.0 9.0\n",
      " 13.0 18.0 23.0 35.0 42.0 44.0 49.0 49.0 68.0 68.0 71.0 76.0 77.0 84.0 85.0\n",
      " 86.0 86.0 81.0 76.0 73.0 49.0 40.0 39.0 34.0 34.0 33.0 32.0 35.0 35.0 22.0\n",
      " 22.0 21.0 21.0 20.0 20.0 6.0 18.0 19.0 30.0 42.0 45.0 47.0 48.0 49.0 50.0\n",
      " 49.0 42.0 33.0 33.0 37.0 38.0 40.0 40.0 42.0 42.0 40.0 38.0 37.0 37.0 34.0\n",
      " 32.0 29.0 28.0 28.0 28.0 28.0 28.0 19.0 19.0 18.0 13.0 12.0 10.0 5.0 2.0\n",
      " 3.0 6.0 9.0 10.0 12.0 13.0 12.0 18.0 19.0 21.0 21.0 22.0 24.0 25.0 23.0\n",
      " 20.0 18.0 18.0 18.0 14.0 13.0 11.0 11.0 12.0 18.0 21.0 26.0 25.0 24.0 27.0\n",
      " 27.0 27.0 27.0 30.0 32.0 32.0 33.0 33.0 31.0 28.0 26.0 25.0 25.0 14.0 10.0\n",
      " 6.0]\n",
      "[-- 30.0 34.0 39.0 47.0 39.0 30.0 30.0 37.0 36.0 34.0 33.0 32.0 32.0 23.0\n",
      " 25.0 20.0 18.0 18.0 17.0 12.0 23.0 36.0 35.0 39.0 47.0 46.0 45.0 41.0 39.0\n",
      " 37.0 26.0 28.0 34.0 37.0 60.0 54.0 57.0 59.0 68.0 69.0 71.0 71.0 68.0 64.0\n",
      " 63.0 57.0 57.0 53.0 48.0 46.0 42.0 32.0 30.0 30.0 21.0 24.0 24.0 24.0 22.0\n",
      " 22.0 43.0 56.0 54.0 52.0 50.0 48.0 68.0 68.0 68.0 68.0 49.0 42.0 42.0 45.0\n",
      " 45.0 38.0 38.0 38.0 38.0 23.0 24.0 24.0 23.0 15.0 13.0 10.0 9.0 6.0 7.0\n",
      " 7.0 8.0 8.0 7.0 5.0 4.0 4.0 4.0 11.0 12.0 15.0 15.0 15.0 15.0 16.0 18.0\n",
      " 18.0 17.0 15.0 11.0 11.0 12.0 14.0 14.0 14.0 22.0 26.0 26.0 26.0 30.0 30.0\n",
      " 30.0 27.0 27.0 26.0 31.0 31.0 33.0 29.0 25.0 24.0 23.0 24.0 16.0 13.0 8.0\n",
      " 7.0]\n",
      "[-- 38.0 12.0 14.0 13.0 17.0 21.0 21.0 23.0 23.0 21.0 22.0 28.0 32.0 32.0\n",
      " 22.0 14.0 14.0 7.0 9.0 29.0 50.0 52.0 51.0 40.0 25.0 35.0 38.0 40.0 49.0\n",
      " 54.0 59.0 66.0 82.0 85.0 85.0 83.0 83.0 83.0 72.0 58.0 54.0 51.0 43.0 43.0\n",
      " 42.0 40.0 39.0 39.0 36.0 29.0 31.0 31.0 32.0 32.0 35.0 38.0 43.0 48.0 55.0\n",
      " 74.0 74.0 68.0 66.0 54.0 53.0 49.0 44.0 40.0 37.0 33.0 32.0 32.0 31.0 29.0\n",
      " 26.0 26.0 26.0 26.0 21.0 20.0 18.0 17.0 16.0 13.0 13.0 7.0 2.0 0.0 1.0 1.0\n",
      " 3.0 4.0 4.0 11.0 12.0 16.0 18.0 18.0 18.0 19.0 23.0 25.0 26.0 24.0 24.0\n",
      " 24.0 24.0 25.0 25.0 27.0 27.0 29.0 31.0 32.0 33.0 34.0 34.0 34.0 33.0 35.0\n",
      " 36.0 38.0 37.0 35.0 32.0 30.0 29.0 28.0 26.0 22.0 19.0 15.0 6.0 4.0]\n",
      "[-- 36.0 30.0 11.0 11.0 12.0 12.0 19.0 33.0 32.0 21.0 19.0 17.0 15.0 15.0\n",
      " 14.0 19.0 35.0 32.0 38.0 38.0 33.0 30.0 29.0 37.0 37.0 37.0 35.0 58.0 82.0\n",
      " 87.0 87.0 85.0 85.0 82.0 78.0 73.0 68.0 67.0 64.0 65.0 66.0 65.0 53.0 51.0\n",
      " 41.0 41.0 43.0 43.0 28.0 30.0 32.0 28.0 30.0 34.0 36.0 39.0 45.0 47.0 51.0\n",
      " 44.0 38.0 56.0 60.0 75.0 83.0 84.0 84.0 70.0 66.0 59.0 56.0 56.0 45.0 44.0\n",
      " 43.0 40.0 40.0 39.0 36.0 35.0 28.0 28.0 25.0 24.0 23.0 18.0 18.0 18.0 14.0\n",
      " 16.0 17.0 18.0 17.0 9.0 7.0 7.0 12.0 18.0 20.0 25.0 22.0 17.0 19.0 26.0\n",
      " 32.0 35.0 35.0 32.0 31.0 31.0 30.0 30.0 31.0 32.0 35.0 37.0 36.0 32.0 31.0\n",
      " 30.0 26.0 22.0 22.0 20.0 20.0 12.0 9.0 4.0]\n",
      "[-- 36.0 30.0 29.0 25.0 25.0 41.0 32.0 18.0 11.0 2.0 6.0 14.0 18.0 36.0\n",
      " 42.0 28.0 11.0 10.0 3.0 4.0 10.0 13.0 16.0 37.0 28.0 28.0 20.0 15.0 13.0\n",
      " 19.0 52.0 59.0 73.0 75.0 76.0 77.0 77.0 77.0 76.0 70.0 65.0 64.0 63.0 62.0\n",
      " 60.0 61.0 62.0 48.0 48.0 30.0 27.0 27.0 25.0 20.0 25.0 27.0 29.0 32.0 39.0\n",
      " 44.0 47.0 46.0 46.0 60.0 75.0 87.0 87.0 59.0 58.0 54.0 51.0 48.0 47.0 45.0\n",
      " 45.0 44.0 44.0 45.0 40.0 31.0 31.0 29.0 27.0 26.0 23.0 19.0 12.0 12.0 16.0\n",
      " 23.0 24.0 18.0 18.0 13.0 4.0 2.0 19.0 28.0 27.0 25.0 26.0 27.0 25.0 24.0\n",
      " 24.0 25.0 25.0 26.0 27.0 27.0 25.0 24.0 24.0 24.0 27.0 27.0 27.0 27.0 29.0\n",
      " 30.0 30.0 26.0 27.0 28.0 29.0 30.0 31.0 34.0 33.0 32.0 30.0 29.0 27.0 25.0\n",
      " 22.0 21.0 20.0 16.0 14.0 7.0 6.0 5.0]\n",
      "[-- 42.0 42.0 42.0 41.0 33.0 20.0 25.0 31.0 35.0 30.0 30.0 34.0 32.0 20.0\n",
      " 18.0 11.0 10.0 10.0 11.0 16.0 19.0 22.0 30.0 31.0 9.0 9.0 17.0 17.0 47.0\n",
      " 57.0 43.0 40.0 38.0 30.0 15.0 23.0 41.0 54.0 67.0 68.0 69.0 71.0 71.0 75.0\n",
      " 77.0 77.0 76.0 66.0 63.0 61.0 59.0 57.0 60.0 53.0 39.0 38.0 44.0 48.0 48.0\n",
      " 41.0 30.0 34.0 35.0 43.0 47.0 57.0 61.0 70.0 85.0 85.0 77.0 75.0 70.0 69.0\n",
      " 60.0 58.0 54.0 41.0 41.0 38.0 37.0 37.0 37.0 38.0 39.0 39.0 39.0 39.0 38.0\n",
      " 36.0 35.0 34.0 31.0 29.0 25.0 25.0 22.0 21.0 20.0 19.0 18.0 15.0 17.0 18.0\n",
      " 20.0 21.0 19.0 14.0 14.0 15.0 9.0 4.0 3.0 5.0 17.0 17.0 15.0 15.0 17.0\n",
      " 18.0 20.0 19.0 14.0 12.0 12.0 15.0 16.0 20.0 20.0 22.0 25.0 26.0 27.0 28.0\n",
      " 29.0 29.0 28.0 28.0 27.0 26.0 26.0 30.0 31.0 32.0 31.0 29.0 29.0 27.0 26.0\n",
      " 25.0 25.0 22.0 21.0 20.0 18.0 18.0 19.0 9.0 4.0]\n",
      "[-- 22.0 21.0 22.0 25.0 27.0 28.0 25.0 20.0 19.0 17.0 14.0 13.0 12.0 15.0\n",
      " 15.0 17.0 20.0 20.0 31.0 24.0 21.0 20.0 19.0 41.0 44.0 51.0 53.0 65.0 67.0\n",
      " 67.0 64.0 62.0 53.0 46.0 46.0 62.0 69.0 71.0 74.0 74.0 71.0 63.0 57.0 54.0\n",
      " 60.0 61.0 63.0 64.0 65.0 66.0 61.0 55.0 58.0 60.0 51.0 42.0 34.0 29.0 25.0\n",
      " 22.0 38.0 42.0 53.0 58.0 59.0 61.0 63.0 65.0 70.0 74.0 74.0 72.0 69.0 67.0\n",
      " 66.0 65.0 64.0 63.0 62.0 56.0 47.0 47.0 48.0 46.0 45.0 51.0 51.0 51.0 46.0\n",
      " 40.0 34.0 31.0 31.0 32.0 37.0 41.0 34.0 27.0 21.0 20.0 18.0 15.0 17.0 11.0\n",
      " 10.0 10.0 10.0 8.0 8.0 8.0 9.0 11.0 11.0 11.0 12.0 12.0 12.0 12.0 12.0\n",
      " 12.0 14.0 14.0 14.0 18.0 22.0 23.0 26.0 26.0 26.0 27.0 27.0 28.0 30.0 30.0\n",
      " 29.0 28.0 27.0 26.0 24.0 23.0 23.0 20.0 17.0 15.0 15.0 10.0 6.0 5.0]\n",
      "[-- 61.0 61.0 69.0 69.0 69.0 52.0 63.0 63.0 54.0 48.0 41.0 41.0 40.0 36.0\n",
      " 29.0 27.0 20.0 16.0 12.0 23.0 39.0 40.0 48.0 55.0 73.0 79.0 82.0 84.0 84.0\n",
      " 76.0 70.0 61.0 56.0 57.0 57.0 51.0 46.0 46.0 42.0 40.0 39.0 38.0 35.0 33.0\n",
      " 33.0 33.0 37.0 38.0 38.0 41.0 37.0 36.0 29.0 25.0 24.0 21.0 22.0 22.0 22.0\n",
      " 22.0 21.0 20.0 18.0 17.0 16.0 15.0 14.0 13.0 12.0 13.0 13.0 8.0 8.0 3.0\n",
      " 3.0 5.0 6.0 6.0 10.0 11.0 11.0 17.0 19.0 20.0 22.0 22.0 23.0 24.0 24.0\n",
      " 23.0 22.0 22.0 22.0 23.0 25.0 27.0 28.0 31.0 31.0 27.0 27.0 27.0 26.0 25.0\n",
      " 23.0 20.0 21.0 21.0 21.0 19.0 18.0 16.0 8.0 4.0]\n",
      "[-- 27.0 34.0 35.0 43.0 43.0 27.0 23.0 14.0 7.0 7.0 6.0 5.0 13.0 15.0 22.0\n",
      " 22.0 23.0 29.0 29.0 25.0 17.0 17.0 16.0 15.0 9.0 11.0 14.0 17.0 19.0 23.0\n",
      " 18.0 17.0 19.0 28.0 32.0 48.0 49.0 66.0 67.0 69.0 70.0 70.0 70.0 67.0 57.0\n",
      " 59.0 60.0 59.0 55.0 58.0 62.0 64.0 61.0 49.0 49.0 51.0 53.0 56.0 56.0 58.0\n",
      " 61.0 63.0 64.0 61.0 51.0 45.0 43.0 38.0 34.0 22.0 16.0 9.0 33.0 51.0 54.0\n",
      " 58.0 58.0 56.0 69.0 70.0 70.0 68.0 68.0 65.0 57.0 54.0 53.0 51.0 50.0 43.0\n",
      " 43.0 45.0 45.0 45.0 44.0 43.0 46.0 46.0 40.0 33.0 31.0 29.0 27.0 24.0 22.0\n",
      " 21.0 21.0 21.0 21.0 20.0 20.0 19.0 17.0 16.0 16.0 13.0 10.0 10.0 9.0 4.0\n",
      " 3.0 3.0 4.0 4.0 5.0 5.0 5.0 5.0 11.0 12.0 14.0 15.0 22.0 29.0 27.0 27.0\n",
      " 23.0 22.0 21.0 20.0 20.0 18.0 18.0 17.0 12.0 12.0 12.0 12.0 12.0 12.0 12.0\n",
      " 10.0 10.0 5.0]\n",
      "[-- 24.0 14.0 10.0 9.0 18.0 37.0 37.0 46.0 56.0 63.0 62.0 62.0 62.0 61.0\n",
      " 55.0 54.0 54.0 61.0 64.0 65.0 65.0 62.0 57.0 56.0 51.0 54.0 52.0 49.0 49.0\n",
      " 49.0 49.0 49.0 49.0 49.0 50.0 53.0 41.0 26.0 19.0 13.0 10.0 18.0 20.0 23.0\n",
      " 28.0 34.0 42.0 44.0 54.0 60.0 73.0 73.0 73.0 64.0 54.0 46.0 43.0 43.0 44.0\n",
      " 45.0 48.0 49.0 47.0 46.0 44.0 43.0 40.0 32.0 32.0 26.0 25.0 23.0 19.0 17.0\n",
      " 15.0 16.0 18.0 20.0 21.0 20.0 18.0 17.0 13.0 13.0 12.0 11.0 3.0 2.0 1.0\n",
      " 2.0 2.0 5.0 10.0 11.0 12.0 16.0 19.0 19.0 20.0 20.0 23.0 24.0 24.0 26.0\n",
      " 23.0 21.0 18.0 17.0 17.0 17.0 15.0 13.0 13.0 12.0 12.0 11.0 9.0 8.0 6.0\n",
      " 2.0 0.0]\n",
      "[14.0 -- 16.0 19.0 21.0 28.0 32.0 24.0 18.0 13.0 13.0 13.0 13.0 13.0 12.0\n",
      " 12.0 13.0 14.0 26.0 26.0 6.0 5.0 18.0 8.0 1.0 20.0 27.0 32.0 31.0 22.0\n",
      " 21.0 28.0 30.0 47.0 51.0 45.0 42.0 41.0 42.0 45.0 63.0 68.0 67.0 67.0 63.0\n",
      " 64.0 67.0 68.0 69.0 69.0 69.0 66.0 61.0 58.0 43.0 43.0 38.0 37.0 35.0 36.0\n",
      " 41.0 45.0 46.0 54.0 54.0 52.0 48.0 51.0 52.0 53.0 54.0 48.0 27.0 15.0 14.0\n",
      " 14.0 29.0 30.0 36.0 42.0 43.0 41.0 39.0 41.0 63.0 71.0 72.0 72.0 66.0 63.0\n",
      " 55.0 55.0 54.0 52.0 51.0 50.0 47.0 45.0 43.0 39.0 39.0 34.0 33.0 32.0 30.0\n",
      " 28.0 27.0 25.0 22.0 17.0 15.0 15.0 9.0 3.0 6.0 8.0 9.0 9.0 9.0 10.0 10.0\n",
      " 7.0 6.0 2.0 2.0 3.0 3.0 2.0 2.0 6.0 8.0 8.0 9.0 10.0 11.0 13.0 15.0 16.0\n",
      " 17.0 18.0 18.0 18.0 18.0 18.0 19.0 19.0 19.0 19.0 19.0 19.0 19.0 17.0 16.0\n",
      " 17.0 17.0 17.0 17.0 15.0 14.0 11.0 11.0 10.0 8.0 8.0 8.0 6.0 4.0 4.0 3.0]\n",
      "[-- 31.0 29.0 22.0 21.0 20.0 16.0 16.0 16.0 16.0 16.0 16.0 25.0 26.0 20.0\n",
      " 22.0 31.0 28.0 21.0 20.0 20.0 40.0 42.0 38.0 34.0 13.0 14.0 12.0 46.0 55.0\n",
      " 54.0 64.0 68.0 66.0 65.0 65.0 66.0 69.0 69.0 67.0 63.0 61.0 59.0 54.0 50.0\n",
      " 47.0 41.0 29.0 26.0 20.0 28.0 31.0 36.0 34.0 32.0 39.0 39.0 47.0 48.0 38.0\n",
      " 21.0 30.0 31.0 43.0 47.0 46.0 44.0 44.0 60.0 61.0 61.0 61.0 59.0 55.0 52.0\n",
      " 46.0 47.0 44.0 42.0 38.0 33.0 31.0 31.0 31.0 29.0 28.0 28.0 26.0 23.0 22.0\n",
      " 22.0 20.0 16.0 13.0 11.0 7.0 7.0 7.0 6.0 4.0 2.0 4.0 6.0 7.0 7.0 7.0 7.0\n",
      " 7.0 8.0 8.0 8.0 8.0 2.0 3.0 5.0 7.0 7.0 7.0 7.0 7.0 10.0 11.0 12.0 14.0\n",
      " 15.0 15.0 14.0 14.0 14.0 14.0 16.0 17.0 18.0 17.0 17.0 14.0 12.0 12.0 11.0\n",
      " 9.0 8.0 6.0 3.0 3.0 0.0]\n",
      "[-- 26.0 17.0 17.0 16.0 18.0 21.0 36.0 31.0 26.0 26.0 25.0 25.0 25.0 15.0\n",
      " 11.0 10.0 0.0 6.0 16.0 18.0 20.0 25.0 32.0 43.0 48.0 46.0 44.0 41.0 38.0\n",
      " 37.0 47.0 52.0 51.0 41.0 25.0 20.0 16.0 24.0 27.0 52.0 59.0 66.0 67.0 71.0\n",
      " 71.0 72.0 72.0 72.0 71.0 67.0 62.0 61.0 61.0 62.0 53.0 51.0 48.0 42.0 41.0\n",
      " 37.0 35.0 33.0 28.0 24.0 23.0 24.0 26.0 27.0 28.0 28.0 29.0 30.0 41.0 43.0\n",
      " 41.0 30.0 22.0 17.0 4.0 8.0 15.0 16.0 19.0 19.0 20.0 21.0 21.0 23.0 24.0\n",
      " 24.0 24.0 25.0 25.0 28.0 33.0 38.0 43.0 43.0 42.0 42.0 41.0 39.0 36.0 36.0\n",
      " 38.0 39.0 39.0 36.0 28.0 30.0 33.0 31.0 29.0 23.0 23.0 20.0 16.0 14.0 13.0\n",
      " 10.0 4.0 3.0 3.0 2.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 1.0 1.0\n",
      " 1.0 2.0 2.0 2.0 2.0 3.0 3.0 10.0 10.0 10.0 9.0 11.0 10.0 10.0 14.0 16.0\n",
      " 18.0 19.0 26.0 26.0 27.0 27.0 26.0 28.0 29.0 29.0 29.0 31.0 32.0 32.0 29.0\n",
      " 26.0 24.0 17.0 13.0 10.0]\n",
      "[-- 33.0 32.0 28.0 23.0 16.0 13.0 12.0 25.0 28.0 25.0 27.0 31.0 33.0 32.0\n",
      " 26.0 24.0 35.0 38.0 39.0 61.0 66.0 66.0 64.0 53.0 34.0 24.0 30.0 47.0 56.0\n",
      " 59.0 61.0 66.0 63.0 63.0 61.0 55.0 47.0 50.0 53.0 54.0 52.0 49.0 50.0 50.0\n",
      " 56.0 55.0 46.0 46.0 43.0 42.0 41.0 43.0 41.0 32.0 35.0 36.0 37.0 37.0 38.0\n",
      " 38.0 34.0 31.0 26.0 22.0 7.0 5.0 2.0 2.0 3.0 15.0 28.0 39.0 43.0 45.0 46.0\n",
      " 46.0 44.0 43.0 43.0 42.0 41.0 40.0 33.0 31.0 25.0 23.0 20.0 19.0 18.0 15.0\n",
      " 13.0 13.0 12.0 11.0 9.0 7.0 7.0 8.0 9.0 9.0 7.0 7.0 7.0 6.0 6.0 5.0 7.0\n",
      " 7.0 3.0 3.0 4.0 4.0 4.0 2.0 1.0 1.0 4.0 4.0 8.0 15.0 16.0 19.0 20.0 23.0\n",
      " 23.0 22.0 21.0 18.0 17.0 13.0 12.0 9.0 7.0 3.0 3.0]\n",
      "[-- 42.0 32.0 33.0 39.0 42.0 52.0 37.0 37.0 27.0 33.0 36.0 34.0 33.0 34.0\n",
      " 35.0 39.0 28.0 28.0 23.0 16.0 28.0 13.0 10.0 8.0 6.0 3.0 10.0 11.0 12.0\n",
      " 14.0 23.0 27.0 37.0 50.0 63.0 62.0 59.0 54.0 45.0 57.0 66.0 66.0 62.0 61.0\n",
      " 61.0 61.0 59.0 58.0 58.0 57.0 56.0 56.0 55.0 54.0 54.0 53.0 52.0 46.0 41.0\n",
      " 38.0 35.0 33.0 13.0 11.0 34.0 39.0 38.0 37.0 35.0 34.0 32.0 31.0 31.0 21.0\n",
      " 16.0 16.0 16.0 16.0 18.0 18.0 19.0 19.0 20.0 24.0 25.0 25.0 26.0 27.0 27.0\n",
      " 27.0 27.0 27.0 18.0 10.0 12.0 14.0 14.0 18.0 19.0 19.0 16.0 15.0 14.0 5.0\n",
      " 5.0 5.0 5.0 5.0 5.0 5.0 4.0 4.0 3.0 3.0 3.0 3.0 2.0 2.0 1.0 2.0 5.0 9.0\n",
      " 14.0 17.0 13.0 11.0 11.0 12.0 13.0 14.0 14.0 13.0 13.0 12.0 12.0 16.0 22.0\n",
      " 23.0 26.0 29.0 30.0 29.0 29.0 29.0 25.0 25.0 25.0 22.0 19.0 18.0 12.0 11.0\n",
      " 8.0]\n",
      "[-- -- 36.0 38.0 40.0 42.0 45.0 46.0 21.0 21.0 19.0 18.0 7.0 10.0 13.0 26.0\n",
      " 34.0 32.0 29.0 32.0 35.0 37.0 22.0 19.0 18.0 30.0 33.0 42.0 48.0 57.0 58.0\n",
      " 56.0 49.0 51.0 62.0 73.0 73.0 70.0 65.0 65.0 63.0 54.0 53.0 52.0 48.0 49.0\n",
      " 39.0 28.0 29.0 32.0 33.0 37.0 40.0 41.0 39.0 31.0 31.0 31.0 31.0 15.0 24.0\n",
      " 29.0 34.0 34.0 34.0 34.0 34.0 34.0 34.0 35.0 36.0 34.0 34.0 33.0 33.0 33.0\n",
      " 35.0 36.0 36.0 36.0 35.0 35.0 35.0 34.0 34.0 33.0 26.0 21.0 24.0 25.0 24.0\n",
      " 22.0 21.0 20.0 20.0 20.0 19.0 19.0 18.0 17.0 16.0 15.0 15.0 14.0 14.0 14.0\n",
      " 13.0 14.0 15.0 15.0 15.0 15.0 15.0 15.0 15.0 15.0 12.0 8.0 3.0 1.0 0.0 1.0\n",
      " 2.0 2.0 1.0 1.0 11.0 11.0 12.0 16.0 19.0 21.0 25.0 26.0 25.0 24.0 23.0\n",
      " 23.0 26.0 26.0 28.0 30.0 30.0 26.0 26.0 25.0 21.0 14.0 6.0]\n",
      "[-- 31.0 31.0 38.0 32.0 30.0 25.0 19.0 5.0 17.0 19.0 40.0 54.0 56.0 59.0\n",
      " 61.0 72.0 72.0 74.0 75.0 75.0 63.0 55.0 55.0 54.0 52.0 52.0 48.0 34.0 30.0\n",
      " 28.0 23.0 19.0 20.0 22.0 26.0 32.0 34.0 38.0 33.0 29.0 23.0 33.0 39.0 39.0\n",
      " 36.0 34.0 40.0 47.0 47.0 46.0 42.0 40.0 40.0 40.0 42.0 42.0 42.0 42.0 37.0\n",
      " 36.0 28.0 28.0 27.0 21.0 20.0 20.0 20.0 17.0 14.0 14.0 14.0 15.0 18.0 18.0\n",
      " 17.0 18.0 19.0 20.0 22.0 23.0 23.0 24.0 25.0 25.0 25.0 22.0 21.0 21.0 19.0\n",
      " 17.0 16.0 16.0 19.0 24.0 27.0 24.0 23.0 23.0 22.0 22.0 22.0 23.0 25.0 28.0\n",
      " 26.0 26.0 26.0 25.0 25.0 25.0 27.0 27.0 27.0 24.0 22.0 21.0 18.0 17.0 16.0\n",
      " 16.0 16.0 16.0 17.0 13.0 13.0 13.0 13.0 11.0 6.0 6.0 3.0]\n",
      "[-- 24.0 22.0 14.0 22.0 24.0 25.0 28.0 31.0 30.0 30.0 33.0 25.0 25.0 24.0\n",
      " 24.0 28.0 37.0 39.0 19.0 12.0 1.0 9.0 27.0 33.0 45.0 53.0 52.0 41.0 50.0\n",
      " 44.0 40.0 10.0 8.0 11.0 16.0 26.0 33.0 43.0 66.0 71.0 71.0 68.0 67.0 63.0\n",
      " 58.0 58.0 57.0 54.0 50.0 46.0 44.0 44.0 36.0 36.0 35.0 35.0 34.0 34.0 25.0\n",
      " 24.0 24.0 24.0 24.0 35.0 35.0 38.0 37.0 21.0 28.0 29.0 34.0 39.0 42.0 42.0\n",
      " 46.0 47.0 41.0 41.0 41.0 41.0 41.0 36.0 33.0 31.0 26.0 26.0 26.0 26.0 27.0\n",
      " 27.0 27.0 28.0 27.0 27.0 27.0 26.0 30.0 27.0 23.0 17.0 16.0 16.0 19.0 14.0\n",
      " 14.0 13.0 18.0 22.0 19.0 12.0 2.0 2.0 15.0 16.0 22.0 21.0 21.0 21.0 21.0\n",
      " 21.0 21.0 21.0 21.0 21.0 23.0 25.0 22.0 20.0 17.0 15.0 15.0 15.0 15.0 15.0\n",
      " 14.0 14.0 14.0 14.0 12.0 6.0 3.0]\n",
      "[-- 18.0 16.0 16.0 15.0 15.0 22.0 21.0 25.0 27.0 31.0 46.0 49.0 36.0 30.0\n",
      " 24.0 31.0 33.0 47.0 58.0 59.0 61.0 61.0 40.0 34.0 31.0 34.0 38.0 39.0 46.0\n",
      " 68.0 68.0 63.0 64.0 64.0 63.0 62.0 61.0 60.0 57.0 57.0 56.0 56.0 55.0 56.0\n",
      " 57.0 51.0 46.0 43.0 40.0 39.0 21.0 19.0 24.0 26.0 27.0 29.0 32.0 34.0 12.0\n",
      " 11.0 4.0 4.0 9.0 22.0 28.0 42.0 42.0 45.0 45.0 53.0 58.0 60.0 60.0 59.0\n",
      " 51.0 47.0 45.0 37.0 34.0 31.0 30.0 28.0 24.0 22.0 22.0 21.0 22.0 22.0 22.0\n",
      " 20.0 19.0 18.0 17.0 17.0 17.0 17.0 17.0 17.0 18.0 14.0 14.0 6.0 4.0 2.0\n",
      " 1.0 1.0 5.0 21.0 30.0 27.0 24.0 23.0 19.0 18.0 17.0 13.0 15.0 16.0 17.0\n",
      " 22.0 20.0 18.0 18.0 15.0 15.0 14.0 14.0 12.0 10.0 8.0 6.0 6.0 8.0 11.0\n",
      " 10.0 9.0 8.0 8.0 2.0]\n",
      "[-- 54.0 56.0 61.0 61.0 58.0 58.0 57.0 50.0 30.0 30.0 31.0 38.0 41.0 41.0\n",
      " 42.0 42.0 43.0 36.0 36.0 21.0 19.0 18.0 14.0 12.0 18.0 29.0 46.0 53.0 53.0\n",
      " 54.0 58.0 52.0 50.0 48.0 45.0 43.0 41.0 34.0 33.0 30.0 29.0 28.0 26.0 25.0\n",
      " 25.0 26.0 27.0 28.0 28.0 26.0 22.0 20.0 20.0 20.0 20.0 19.0 19.0 18.0 18.0\n",
      " 18.0 17.0 17.0 17.0 16.0 19.0 25.0 27.0 29.0 31.0 31.0 27.0 22.0 18.0 16.0\n",
      " 13.0 15.0 17.0 21.0 21.0 21.0 21.0 18.0 20.0 21.0 21.0 22.0 22.0 22.0 21.0\n",
      " 19.0 18.0 17.0 21.0 23.0 24.0 24.0 25.0 26.0 24.0 18.0 15.0 13.0 5.0 4.0]\n",
      "[-- 46.0 40.0 35.0 31.0 23.0 16.0 34.0 39.0 36.0 29.0 28.0 24.0 36.0 38.0\n",
      " 13.0 7.0 3.0 7.0 13.0 19.0 18.0 25.0 24.0 17.0 17.0 13.0 10.0 31.0 40.0\n",
      " 55.0 68.0 68.0 62.0 47.0 65.0 65.0 64.0 63.0 65.0 66.0 66.0 63.0 60.0 55.0\n",
      " 53.0 50.0 52.0 52.0 53.0 55.0 56.0 56.0 40.0 40.0 30.0 42.0 40.0 40.0 35.0\n",
      " 25.0 28.0 29.0 35.0 22.0 20.0 20.0 27.0 30.0 37.0 36.0 35.0 33.0 34.0 39.0\n",
      " 59.0 58.0 56.0 55.0 61.0 62.0 66.0 65.0 59.0 58.0 56.0 54.0 50.0 43.0 38.0\n",
      " 34.0 34.0 34.0 32.0 30.0 30.0 29.0 28.0 27.0 27.0 26.0 24.0 23.0 18.0 18.0\n",
      " 15.0 14.0 12.0 11.0 9.0 10.0 12.0 17.0 21.0 20.0 24.0 25.0 25.0 27.0 28.0\n",
      " 27.0 23.0 23.0 22.0 22.0 25.0 26.0 23.0 22.0 13.0 13.0 13.0 14.0 24.0 25.0\n",
      " 25.0 25.0 16.0 10.0]\n",
      "[-- 46.0 50.0 53.0 54.0 55.0 56.0 56.0 55.0 52.0 44.0 39.0 35.0 34.0 31.0\n",
      " 30.0 30.0 27.0 26.0 25.0 25.0 24.0 22.0 21.0 19.0 22.0 28.0 29.0 30.0 32.0\n",
      " 32.0 29.0 26.0 28.0 27.0 27.0 27.0 28.0 28.0 30.0 28.0 22.0 20.0 17.0 17.0\n",
      " 17.0 17.0 17.0 18.0 18.0 17.0 20.0 11.0 11.0 12.0 15.0 20.0 17.0 23.0 24.0\n",
      " 21.0 21.0 22.0 22.0 14.0 7.0]\n",
      "[-- 27.0 42.0 39.0 37.0 34.0 35.0 36.0 28.0 30.0 46.0 54.0 57.0 59.0 64.0\n",
      " 69.0 72.0 72.0 69.0 67.0 65.0 60.0 59.0 62.0 64.0 66.0 68.0 69.0 68.0 68.0\n",
      " 65.0 65.0 64.0 60.0 57.0 51.0 49.0 47.0 38.0 37.0 28.0 46.0 49.0 48.0 43.0\n",
      " 42.0 34.0 29.0 29.0 29.0 29.0 24.0 24.0 25.0 26.0 29.0 26.0 24.0 27.0 34.0\n",
      " 46.0 52.0 49.0 47.0 43.0 44.0 44.0 42.0 41.0 40.0 39.0 38.0 38.0 37.0 36.0\n",
      " 35.0 33.0 32.0 32.0 30.0 29.0 29.0 29.0 29.0 29.0 29.0 29.0 29.0 28.0 26.0\n",
      " 25.0 26.0 27.0 25.0 22.0 21.0 21.0 21.0 21.0 20.0 20.0 21.0 22.0 21.0 21.0\n",
      " 21.0 20.0 19.0 19.0 19.0 17.0 16.0 16.0 17.0 19.0 18.0 18.0 18.0 14.0 14.0\n",
      " 13.0 15.0 15.0 15.0 15.0 16.0 16.0 16.0 16.0 19.0 19.0 19.0 19.0 19.0 24.0\n",
      " 24.0 16.0 15.0 11.0 11.0 7.0 7.0 8.0 8.0 7.0 7.0 6.0 6.0 7.0 8.0 3.0 4.0\n",
      " 5.0 6.0 6.0 10.0 10.0 9.0 8.0 6.0 5.0]\n",
      "[-- 64.0 57.0 46.0 30.0 31.0 33.0 38.0 39.0 40.0 25.0 13.0 11.0 5.0 10.0\n",
      " 17.0 17.0 21.0 29.0 27.0 27.0 25.0 24.0 24.0 29.0 31.0 29.0 28.0 27.0 27.0\n",
      " 25.0 25.0 28.0 30.0 30.0 28.0 27.0 22.0 19.0 17.0 16.0 16.0 15.0 15.0 14.0\n",
      " 14.0 15.0 15.0 15.0 15.0 14.0 14.0 15.0 15.0 16.0 16.0 15.0 14.0 14.0 12.0\n",
      " 12.0 12.0 12.0 13.0 13.0 13.0 13.0 13.0 13.0 13.0 11.0 11.0 11.0 10.0 10.0\n",
      " 10.0 10.0 11.0 13.0 15.0 16.0 17.0 18.0 18.0 18.0 21.0 22.0 23.0 23.0 20.0\n",
      " 19.0 20.0 20.0 20.0 19.0 17.0 17.0 16.0 16.0 16.0 12.0 12.0 11.0 10.0 11.0\n",
      " 11.0 10.0 10.0 6.0 6.0 6.0 6.0 5.0 3.0 2.0 5.0 7.0 2.0 1.0 0.0]\n",
      "[-- 42.0 40.0 38.0 36.0 33.0 33.0 32.0 32.0 31.0 26.0 25.0 24.0 19.0 25.0\n",
      " 27.0 30.0 34.0 35.0 25.0 26.0 27.0 17.0 20.0 24.0 28.0 43.0 43.0 39.0 35.0\n",
      " 29.0 19.0 18.0 11.0 11.0 10.0 42.0 57.0 60.0 70.0 70.0 71.0 72.0 72.0 60.0\n",
      " 51.0 42.0 40.0 40.0 38.0 36.0 34.0 41.0 43.0 43.0 35.0 32.0 29.0 26.0 22.0\n",
      " 19.0 20.0 21.0 22.0 24.0 30.0 30.0 29.0 29.0 27.0 21.0 19.0 13.0 13.0 12.0\n",
      " 11.0 10.0 5.0 4.0 3.0 0.0 2.0 6.0 6.0 4.0 4.0 6.0 9.0 7.0 7.0 17.0 21.0\n",
      " 21.0 27.0 31.0 30.0 29.0 28.0 26.0 25.0 25.0 22.0 20.0 19.0 19.0 19.0 17.0\n",
      " 16.0 15.0 14.0 14.0 11.0 5.0 4.0 10.0 10.0 11.0 11.0 12.0 16.0 19.0 23.0\n",
      " 24.0 24.0 24.0 24.0 23.0 24.0 10.0 9.0]\n",
      "[-- -- -- -- -- -- 18.0 21.0 21.0 53.0 53.0 66.0 66.0 66.0 66.0 65.0 65.0\n",
      " 65.0 65.0 64.0 60.0 56.0 53.0 52.0 43.0 37.0 36.0 25.0 22.0 19.0 14.0 16.0\n",
      " 19.0 21.0 22.0 24.0 24.0 25.0 27.0 28.0 35.0 35.0 33.0 29.0 26.0 27.0 28.0\n",
      " 28.0 27.0 27.0 26.0 26.0 25.0 23.0 23.0 22.0 20.0 20.0 20.0 19.0 18.0 15.0\n",
      " 13.0 10.0 5.0 4.0 3.0 3.0 4.0 4.0 11.0 19.0 19.0 21.0 26.0 28.0 29.0 29.0\n",
      " 28.0 28.0 27.0 27.0 26.0 26.0 26.0 29.0 32.0 33.0 34.0 36.0 36.0 36.0 36.0\n",
      " 36.0 36.0 35.0 35.0 35.0 34.0 34.0 39.0 36.0 36.0 32.0 31.0 30.0 28.0 27.0\n",
      " 26.0 26.0 25.0 25.0 24.0 24.0 22.0 21.0 24.0 25.0 26.0 26.0 25.0 24.0 25.0\n",
      " 25.0 25.0 25.0 21.0 21.0 5.0 3.0]\n",
      "[-- 23.0 20.0 14.0 20.0 22.0 32.0 32.0 34.0 40.0 41.0 39.0 37.0 34.0 34.0\n",
      " 22.0 20.0 32.0 31.0 19.0 19.0 4.0 10.0 13.0 17.0 22.0 48.0 48.0 46.0 45.0\n",
      " 45.0 68.0 68.0 67.0 66.0 65.0 65.0 61.0 59.0 59.0 66.0 68.0 70.0 70.0 69.0\n",
      " 67.0 64.0 54.0 50.0 45.0 42.0 27.0 34.0 28.0 22.0 18.0 14.0 12.0 11.0 9.0\n",
      " 25.0 27.0 27.0 26.0 26.0 26.0 26.0 27.0 27.0 30.0 32.0 34.0 36.0 34.0 31.0\n",
      " 30.0 29.0 29.0 30.0 30.0 31.0 31.0 32.0 32.0 33.0 34.0 23.0 21.0 20.0 17.0\n",
      " 20.0 19.0 17.0 16.0 15.0 8.0 7.0 5.0 8.0 9.0 13.0 16.0 22.0 23.0 22.0 17.0\n",
      " 13.0 13.0 13.0 14.0 16.0 16.0 17.0 17.0 17.0 18.0 17.0 17.0 17.0 19.0 20.0\n",
      " 25.0 25.0 25.0 28.0 34.0 34.0 33.0 33.0 33.0 32.0 32.0 32.0 32.0 32.0 33.0\n",
      " 33.0 33.0 34.0 34.0 35.0 34.0 34.0 31.0 28.0 26.0 22.0 21.0 23.0 26.0 27.0\n",
      " 26.0 25.0 25.0 28.0 30.0 30.0 31.0 29.0 26.0 16.0 13.0 11.0 8.0]\n",
      "[-- 50.0 49.0 47.0 45.0 36.0 32.0 32.0 33.0 33.0 31.0 25.0 22.0 19.0 33.0\n",
      " 32.0 26.0 25.0 38.0 13.0 12.0 17.0 23.0 28.0 41.0 30.0 30.0 14.0 19.0 23.0\n",
      " 27.0 28.0 59.0 59.0 60.0 61.0 60.0 66.0 66.0 64.0 58.0 56.0 55.0 52.0 52.0\n",
      " 52.0 48.0 40.0 33.0 27.0 18.0 16.0 11.0 19.0 25.0 12.0 11.0 7.0 5.0 13.0\n",
      " 35.0 42.0 51.0 50.0 49.0 48.0 51.0 54.0 48.0 46.0 45.0 44.0 43.0 43.0 43.0\n",
      " 43.0 42.0 40.0 36.0 33.0 26.0 25.0 20.0 20.0 18.0 18.0 22.0 21.0 21.0 19.0\n",
      " 18.0 20.0 14.0 19.0 22.0 24.0 25.0 27.0 28.0 28.0 28.0 28.0 28.0 28.0 28.0\n",
      " 21.0 22.0 26.0 25.0 24.0 24.0 23.0 23.0 23.0 23.0 23.0 23.0 23.0 23.0 22.0\n",
      " 23.0 25.0 24.0 24.0 24.0 25.0 26.0 26.0 26.0 25.0 26.0 27.0 27.0 27.0 27.0\n",
      " 25.0 25.0 26.0 25.0 23.0 14.0 9.0]\n",
      "[31.0 -- 29.0 19.0 27.0 26.0 14.0 14.0 19.0 31.0 35.0 26.0 25.0 30.0 43.0\n",
      " 47.0 44.0 38.0 25.0 24.0 5.0 5.0 13.0 14.0 36.0 42.0 55.0 63.0 70.0 71.0\n",
      " 73.0 74.0 75.0 75.0 75.0 70.0 65.0 57.0 59.0 59.0 43.0 37.0 35.0 33.0 29.0\n",
      " 28.0 37.0 35.0 30.0 25.0 22.0 20.0 15.0 19.0 36.0 40.0 47.0 48.0 49.0 47.0\n",
      " 44.0 44.0 53.0 63.0 69.0 70.0 70.0 69.0 67.0 63.0 60.0 59.0 57.0 57.0 51.0\n",
      " 49.0 48.0 46.0 42.0 41.0 39.0 37.0 33.0 32.0 32.0 28.0 27.0 26.0 25.0 25.0\n",
      " 24.0 24.0 23.0 23.0 23.0 23.0 23.0 21.0 21.0 19.0 18.0 14.0 11.0 11.0 13.0\n",
      " 13.0 14.0 15.0 16.0 16.0 16.0 14.0 14.0 15.0 15.0 19.0 20.0 18.0 17.0 17.0\n",
      " 18.0 22.0 22.0 24.0 26.0 26.0 25.0 25.0 29.0 28.0 26.0 24.0 24.0 21.0 19.0\n",
      " 11.0 9.0 6.0]\n",
      "[-- 25.0 21.0 9.0 3.0 6.0 32.0 38.0 37.0 30.0 25.0 35.0 38.0 47.0 47.0 40.0\n",
      " 31.0 32.0 35.0 43.0 42.0 29.0 36.0 38.0 50.0 55.0 55.0 63.0 66.0 67.0 67.0\n",
      " 63.0 56.0 55.0 54.0 53.0 53.0 40.0 37.0 36.0 35.0 35.0 36.0 31.0 33.0 30.0\n",
      " 26.0 22.0 19.0 12.0 13.0 41.0 42.0 43.0 48.0 51.0 51.0 62.0 65.0 76.0 78.0\n",
      " 78.0 78.0 74.0 70.0 64.0 60.0 55.0 53.0 52.0 50.0 49.0 47.0 45.0 43.0 41.0\n",
      " 36.0 33.0 30.0 24.0 24.0 18.0 18.0 18.0 18.0 18.0 18.0 18.0 22.0 24.0 26.0\n",
      " 24.0 24.0 23.0 22.0 21.0 20.0 20.0 16.0 14.0 13.0 11.0 11.0 10.0 9.0 8.0\n",
      " 6.0 8.0 10.0 11.0 12.0 12.0 13.0 11.0 11.0 10.0 10.0 11.0 12.0 12.0 14.0\n",
      " 14.0 14.0 15.0 15.0 15.0 16.0 16.0 17.0 18.0 19.0 20.0 20.0 22.0 21.0 21.0\n",
      " 22.0 22.0 22.0 24.0 23.0 22.0 20.0 19.0 14.0 8.0 5.0]\n",
      "[-- 36.0 47.0 56.0 36.0 20.0 16.0 24.0 29.0 32.0 21.0 22.0 24.0 33.0 33.0\n",
      " 29.0 24.0 23.0 21.0 21.0 22.0 22.0 22.0 13.0 12.0 20.0 26.0 45.0 45.0 34.0\n",
      " 29.0 29.0 30.0 31.0 26.0 28.0 40.0 41.0 30.0 50.0 50.0 64.0 72.0 72.0 71.0\n",
      " 68.0 66.0 61.0 57.0 53.0 50.0 49.0 52.0 56.0 57.0 38.0 37.0 27.0 26.0 26.0\n",
      " 25.0 23.0 20.0 18.0 17.0 17.0 18.0 23.0 28.0 44.0 47.0 50.0 57.0 72.0 76.0\n",
      " 76.0 74.0 60.0 54.0 52.0 39.0 30.0 30.0 25.0 17.0 17.0 17.0 16.0 12.0 11.0\n",
      " 11.0 14.0 15.0 12.0 11.0 11.0 10.0 7.0 6.0 5.0 5.0 4.0 4.0 3.0 2.0 4.0 6.0\n",
      " 8.0 8.0 10.0 10.0 10.0 10.0 11.0 11.0 12.0 12.0 11.0 10.0 10.0 11.0 11.0\n",
      " 12.0 12.0 12.0 12.0 13.0 14.0 15.0 15.0 16.0 16.0 17.0 17.0 17.0 17.0 17.0\n",
      " 17.0 18.0 17.0 17.0 19.0 20.0 19.0 18.0 21.0 19.0 19.0 21.0 21.0 20.0 17.0\n",
      " 16.0 10.0 7.0 4.0]\n",
      "[-- 42.0 40.0 38.0 31.0 30.0 36.0 38.0 41.0 44.0 56.0 29.0 29.0 23.0 21.0\n",
      " 19.0 30.0 26.0 26.0 25.0 20.0 12.0 17.0 21.0 11.0 11.0 0.0 25.0 33.0 50.0\n",
      " 44.0 38.0 27.0 26.0 30.0 52.0 56.0 59.0 60.0 68.0 69.0 73.0 73.0 71.0 64.0\n",
      " 52.0 53.0 56.0 54.0 55.0 53.0 51.0 48.0 43.0 43.0 43.0 43.0 42.0 30.0 31.0\n",
      " 30.0 29.0 27.0 25.0 18.0 16.0 13.0 4.0 15.0 13.0 46.0 55.0 67.0 78.0 78.0\n",
      " 76.0 73.0 52.0 39.0 38.0 34.0 24.0 3.0 1.0 1.0 4.0 5.0 20.0 20.0 25.0 25.0\n",
      " 18.0 17.0 16.0 12.0 12.0 10.0 10.0 9.0 8.0 7.0 11.0 10.0 10.0 12.0 13.0\n",
      " 21.0 23.0 26.0 20.0 20.0 22.0 22.0 22.0 22.0 22.0 23.0 23.0 24.0 27.0 28.0\n",
      " 30.0 29.0 28.0 25.0 23.0 19.0 13.0 7.0]\n",
      "[-- 39.0 45.0 48.0 52.0 43.0 44.0 31.0 35.0 34.0 31.0 29.0 29.0 19.0 16.0\n",
      " 5.0 8.0 12.0 17.0 30.0 22.0 16.0 9.0 18.0 28.0 26.0 21.0 30.0 31.0 41.0\n",
      " 57.0 47.0 39.0 30.0 27.0 39.0 46.0 57.0 58.0 62.0 63.0 64.0 68.0 69.0 70.0\n",
      " 70.0 60.0 59.0 55.0 49.0 49.0 49.0 44.0 46.0 48.0 52.0 48.0 44.0 38.0 37.0\n",
      " 36.0 30.0 29.0 26.0 22.0 17.0 9.0 9.0 4.0 3.0 20.0 29.0 46.0 48.0 53.0\n",
      " 56.0 62.0 62.0 39.0 34.0 24.0 15.0 12.0 3.0 3.0 11.0 9.0 9.0 11.0 13.0\n",
      " 15.0 17.0 18.0 19.0 15.0 15.0 17.0 19.0 21.0 19.0 17.0 16.0 17.0 17.0 18.0\n",
      " 19.0 22.0 22.0 22.0 21.0 21.0 22.0 21.0 20.0 18.0 20.0 20.0 20.0 19.0 21.0\n",
      " 22.0 22.0 24.0 15.0 10.0 7.0 5.0]\n",
      "[-- 30.0 29.0 23.0 17.0 21.0 24.0 30.0 36.0 35.0 26.0 22.0 20.0 20.0 18.0\n",
      " 17.0 21.0 13.0 15.0 16.0 27.0 34.0 37.0 38.0 38.0 35.0 42.0 54.0 61.0 61.0\n",
      " 60.0 60.0 64.0 73.0 80.0 80.0 79.0 74.0 73.0 60.0 55.0 29.0 33.0 35.0 42.0\n",
      " 37.0 35.0 32.0 30.0 28.0 28.0 30.0 33.0 34.0 47.0 58.0 62.0 66.0 74.0 74.0\n",
      " 72.0 70.0 54.0 51.0 52.0 51.0 50.0 50.0 51.0 48.0 41.0 27.0 23.0 21.0 16.0\n",
      " 7.0 7.0 8.0 8.0 15.0 12.0 12.0 12.0 12.0 24.0 28.0 16.0 17.0 17.0 18.0\n",
      " 19.0 20.0 21.0 21.0 21.0 20.0 20.0 20.0 20.0 20.0 20.0 19.0 18.0 19.0 20.0\n",
      " 20.0 19.0 18.0 19.0 19.0 20.0 22.0 23.0 23.0 23.0 21.0 24.0 24.0 21.0 21.0\n",
      " 20.0 16.0 7.0 5.0 3.0]\n",
      "[-- 38.0 38.0 38.0 38.0 36.0 20.0 18.0 22.0 17.0 14.0 14.0 14.0 11.0 10.0\n",
      " 16.0 16.0 17.0 24.0 25.0 25.0 25.0 16.0 10.0 11.0 13.0 26.0 33.0 28.0 28.0\n",
      " 29.0 29.0 17.0 13.0 12.0 19.0 18.0 25.0 29.0 34.0 36.0 41.0 62.0 67.0 67.0\n",
      " 68.0 68.0 68.0 67.0 67.0 73.0 74.0 74.0 62.0 60.0 58.0 55.0 51.0 48.0 42.0\n",
      " 37.0 49.0 48.0 47.0 44.0 38.0 34.0 41.0 50.0 48.0 43.0 23.0 26.0 28.0 35.0\n",
      " 37.0 37.0 60.0 68.0 69.0 69.0 69.0 66.0 63.0 63.0 49.0 41.0 31.0 29.0 28.0\n",
      " 28.0 27.0 24.0 23.0 22.0 21.0 21.0 21.0 21.0 21.0 21.0 21.0 23.0 24.0 24.0\n",
      " 21.0 18.0 18.0 19.0 22.0 17.0 14.0 12.0 6.0 11.0 12.0 13.0 12.0 16.0 16.0\n",
      " 20.0 21.0 19.0 20.0 20.0 20.0 21.0 21.0 23.0 23.0 23.0 23.0 23.0 23.0 20.0\n",
      " 21.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 22.0 20.0 23.0 24.0 24.0 24.0\n",
      " 24.0 24.0 24.0 24.0 24.0 22.0 22.0 22.0 19.0 22.0 19.0 19.0 19.0 19.0 18.0\n",
      " 18.0 20.0 15.0 9.0 6.0 4.0]\n",
      "[-- 38.0 37.0 34.0 25.0 25.0 26.0 27.0 26.0 26.0 25.0 22.0 20.0 22.0 37.0\n",
      " 38.0 34.0 31.0 26.0 18.0 14.0 25.0 23.0 38.0 38.0 33.0 31.0 31.0 25.0 29.0\n",
      " 40.0 54.0 56.0 60.0 59.0 59.0 64.0 73.0 75.0 75.0 72.0 68.0 67.0 60.0 50.0\n",
      " 48.0 40.0 39.0 33.0 28.0 34.0 32.0 31.0 40.0 41.0 41.0 38.0 30.0 20.0 41.0\n",
      " 43.0 57.0 60.0 62.0 62.0 54.0 47.0 45.0 35.0 31.0 23.0 17.0 11.0 9.0 3.0\n",
      " 2.0 4.0 6.0 14.0 21.0 25.0 25.0 19.0 18.0 14.0 14.0 14.0 15.0 15.0 15.0\n",
      " 16.0 16.0 15.0 13.0 15.0 15.0 15.0 14.0 15.0 16.0 19.0 21.0 21.0 20.0 20.0\n",
      " 16.0 15.0 15.0 16.0 17.0 14.0 12.0 11.0 11.0 10.0 10.0 11.0 12.0 12.0 11.0\n",
      " 11.0 12.0 12.0 11.0 11.0 11.0 11.0 12.0 12.0 16.0 17.0 17.0 17.0 18.0 17.0\n",
      " 15.0 11.0 6.0]\n",
      "[-- -- -- -- -- -- -- 52.0 44.0 32.0 33.0 34.0 34.0 34.0 35.0 35.0 34.0\n",
      " 29.0 28.0 22.0 20.0 19.0 17.0 12.0 6.0 7.0 8.0 12.0 13.0 14.0 21.0 21.0\n",
      " 17.0 17.0 15.0 20.0 19.0 16.0 13.0 11.0 10.0 8.0 7.0 6.0 5.0 4.0 5.0 6.0\n",
      " 7.0 8.0 10.0 9.0 7.0 6.0 6.0 6.0 6.0 5.0 5.0 5.0 5.0 4.0 3.0 4.0 5.0 5.0\n",
      " 6.0 6.0 10.0 12.0 11.0 13.0 13.0 12.0 15.0 15.0 11.0 9.0 7.0 5.0 5.0]\n",
      "[-- 57.0 57.0 62.0 62.0 58.0 46.0 46.0 46.0 49.0 54.0 55.0 56.0 57.0 58.0\n",
      " 53.0 52.0 43.0 43.0 44.0 45.0 46.0 47.0 51.0 52.0 52.0 58.0 69.0 78.0 78.0\n",
      " 73.0 69.0 69.0 69.0 68.0 59.0 58.0 47.0 33.0 31.0 31.0 29.0 28.0 25.0 23.0\n",
      " 18.0 16.0 16.0 19.0 20.0 21.0 22.0 25.0 23.0 17.0 17.0 19.0 21.0 29.0 27.0\n",
      " 21.0 19.0 15.0 14.0 9.0 9.0 9.0 9.0 9.0 9.0 9.0 6.0 6.0 6.0 5.0 5.0 6.0\n",
      " 1.0 4.0 4.0 5.0 8.0 8.0 5.0 5.0 7.0 8.0 8.0 7.0 6.0 5.0 1.0 0.0]\n",
      "[21.0 -- 25.0 31.0 32.0 25.0 18.0 19.0 18.0 14.0 13.0 12.0 8.0 5.0 3.0 9.0\n",
      " 13.0 12.0 13.0 23.0 28.0 23.0 16.0 11.0 11.0 17.0 27.0 22.0 20.0 21.0 28.0\n",
      " 37.0 41.0 36.0 32.0 33.0 38.0 44.0 46.0 44.0 28.0 37.0 37.0 60.0 60.0 60.0\n",
      " 64.0 65.0 65.0 57.0 55.0 47.0 45.0 34.0 42.0 50.0 50.0 49.0 41.0 34.0 34.0\n",
      " 38.0 38.0 42.0 44.0 47.0 50.0 41.0 39.0 51.0 61.0 68.0 71.0 71.0 69.0 65.0\n",
      " 63.0 55.0 47.0 46.0 45.0 45.0 44.0 43.0 43.0 42.0 42.0 41.0 41.0 41.0 39.0\n",
      " 38.0 37.0 34.0 20.0 20.0 25.0 26.0 25.0 22.0 22.0 20.0 18.0 17.0 16.0 16.0\n",
      " 16.0 15.0 15.0 15.0 15.0 15.0 14.0 14.0 14.0 13.0 13.0 13.0 13.0 13.0 13.0\n",
      " 13.0 13.0 13.0 13.0 13.0 13.0 13.0 13.0 13.0 12.0 12.0 12.0 12.0 12.0 12.0\n",
      " 13.0 13.0 13.0 13.0 13.0 13.0 12.0 8.0 2.0 3.0 6.0 6.0 3.0 4.0 6.0 6.0 6.0\n",
      " 6.0 7.0 7.0 7.0 6.0 6.0 4.0 4.0 5.0 6.0 6.0 6.0 4.0 2.0]\n",
      "[-- -- 18.0 22.0 22.0 23.0 24.0 26.0 26.0 25.0 23.0 25.0 33.0 31.0 17.0\n",
      " 16.0 14.0 6.0 13.0 13.0 13.0 17.0 11.0 10.0 3.0 12.0 20.0 23.0 36.0 41.0\n",
      " 25.0 24.0 23.0 53.0 59.0 39.0 38.0 57.0 64.0 66.0 67.0 67.0 62.0 55.0 54.0\n",
      " 52.0 50.0 36.0 38.0 45.0 46.0 49.0 49.0 51.0 52.0 45.0 27.0 28.0 33.0 34.0\n",
      " 35.0 39.0 41.0 34.0 33.0 33.0 59.0 59.0 60.0 61.0 61.0 60.0 60.0 50.0 49.0\n",
      " 41.0 40.0 33.0 27.0 21.0 20.0 20.0 22.0 22.0 25.0 27.0 25.0 24.0 23.0 21.0\n",
      " 19.0 17.0 17.0 16.0 14.0 13.0 13.0 13.0 15.0 16.0 16.0 16.0 17.0 17.0 17.0\n",
      " 18.0 18.0 18.0 19.0 19.0 18.0 18.0 18.0 18.0 18.0 18.0 18.0 17.0 16.0 16.0\n",
      " 16.0 16.0 16.0 16.0 16.0 17.0 20.0 20.0 22.0 23.0 22.0 21.0 20.0 20.0 19.0\n",
      " 18.0 17.0 17.0 16.0 16.0 16.0 16.0 15.0 13.0 12.0 14.0 14.0 10.0 13.0 13.0\n",
      " 12.0 12.0 11.0 11.0 8.0 8.0 7.0 3.0]\n",
      "[-- 20.0 21.0 24.0 24.0 8.0 11.0 12.0 12.0 13.0 13.0 17.0 18.0 9.0 12.0\n",
      " 15.0 17.0 20.0 23.0 15.0 15.0 15.0 17.0 30.0 34.0 35.0 35.0 34.0 34.0 32.0\n",
      " 26.0 26.0 24.0 30.0 38.0 44.0 47.0 34.0 32.0 30.0 31.0 36.0 53.0 59.0 66.0\n",
      " 70.0 70.0 66.0 61.0 54.0 56.0 58.0 58.0 57.0 54.0 41.0 39.0 38.0 37.0 39.0\n",
      " 41.0 40.0 35.0 34.0 32.0 29.0 25.0 23.0 20.0 16.0 18.0 19.0 20.0 21.0 20.0\n",
      " 20.0 19.0 17.0 15.0 14.0 13.0 12.0 11.0 10.0 7.0 12.0 13.0 12.0 12.0 12.0\n",
      " 11.0 11.0 14.0 16.0 18.0 19.0 20.0 19.0 19.0 18.0 17.0 24.0 18.0 15.0 15.0\n",
      " 15.0 18.0 21.0 21.0 22.0 24.0 24.0 24.0 23.0 22.0 22.0 22.0 22.0 21.0 14.0\n",
      " 14.0 15.0 19.0 19.0 19.0 16.0 15.0 13.0 13.0 13.0 11.0 10.0 10.0 11.0 14.0\n",
      " 13.0 12.0 15.0 15.0 17.0 17.0 17.0 18.0 18.0 18.0 18.0 17.0 17.0 16.0 15.0\n",
      " 14.0 12.0 12.0 8.0 6.0 3.0]\n",
      "[-- 11.0 8.0 7.0 2.0 7.0 9.0 22.0 21.0 20.0 12.0 11.0 17.0 17.0 11.0 2.0\n",
      " 2.0 34.0 34.0 32.0 31.0 30.0 28.0 28.0 25.0 24.0 27.0 27.0 28.0 30.0 37.0\n",
      " 52.0 51.0 46.0 43.0 40.0 48.0 55.0 63.0 67.0 67.0 64.0 59.0 49.0 43.0 44.0\n",
      " 43.0 43.0 43.0 43.0 41.0 37.0 37.0 36.0 38.0 43.0 42.0 38.0 29.0 30.0 33.0\n",
      " 13.0 9.0 4.0 6.0 18.0 19.0 22.0 27.0 28.0 27.0 21.0 18.0 18.0 20.0 20.0\n",
      " 20.0 18.0 15.0 13.0 11.0 10.0 9.0 12.0 12.0 13.0 16.0 15.0 14.0 14.0 13.0\n",
      " 13.0 17.0 18.0 18.0 19.0 19.0 17.0 17.0 16.0 20.0 22.0 22.0 21.0 21.0 20.0\n",
      " 16.0 13.0 12.0 16.0 20.0 25.0 26.0 29.0 21.0 21.0 20.0 19.0 18.0 17.0 16.0\n",
      " 16.0 14.0 11.0 11.0 11.0 12.0 11.0 11.0 9.0 8.0 8.0 9.0 13.0 14.0 12.0\n",
      " 10.0 5.0 5.0 5.0 4.0 0.0]\n",
      "[-- 21.0 26.0 25.0 11.0 10.0 6.0 1.0 12.0 13.0 10.0 15.0 26.0 24.0 16.0 9.0\n",
      " 5.0 5.0 7.0 8.0 20.0 25.0 22.0 22.0 15.0 13.0 14.0 18.0 19.0 21.0 28.0\n",
      " 36.0 40.0 44.0 40.0 39.0 56.0 56.0 48.0 47.0 48.0 49.0 48.0 46.0 40.0 38.0\n",
      " 40.0 52.0 52.0 53.0 53.0 51.0 50.0 49.0 50.0 51.0 43.0 37.0 36.0 39.0 43.0\n",
      " 38.0 38.0 39.0 39.0 38.0 24.0 18.0 13.0 4.0 4.0 10.0 22.0 26.0 16.0 13.0\n",
      " 11.0 11.0 15.0 16.0 17.0 18.0 22.0 22.0 23.0 29.0 30.0 27.0 25.0 24.0 23.0\n",
      " 22.0 21.0 20.0 20.0 17.0 15.0 11.0 8.0 6.0 8.0 8.0 8.0 9.0 9.0 9.0 11.0\n",
      " 11.0 11.0 11.0 11.0 11.0 12.0 14.0 16.0 18.0 20.0 20.0 21.0 21.0 21.0 20.0\n",
      " 20.0 20.0 20.0 20.0 20.0 20.0 20.0 21.0 21.0 21.0 21.0 21.0 22.0 23.0 23.0\n",
      " 24.0 23.0 22.0 22.0 21.0 21.0 21.0 21.0 21.0 21.0 21.0 21.0 20.0 19.0 19.0\n",
      " 18.0 18.0 17.0 16.0 15.0 14.0 11.0 10.0 9.0 7.0 6.0 6.0 9.0 9.0 8.0 7.0\n",
      " 5.0 5.0 6.0 5.0 4.0 4.0 6.0 5.0 3.0]\n",
      "[-- 40.0 41.0 41.0 41.0 46.0 45.0 36.0 30.0 29.0 20.0 6.0 5.0 8.0 14.0 17.0\n",
      " 16.0 15.0 11.0 19.0 18.0 17.0 4.0 7.0 10.0 31.0 34.0 33.0 29.0 11.0 10.0\n",
      " 2.0 2.0 2.0 2.0 2.0 2.0 38.0 31.0 32.0 37.0 62.0 65.0 66.0 69.0 70.0 70.0\n",
      " 69.0 58.0 53.0 50.0 48.0 43.0 42.0 34.0 31.0 29.0 32.0 38.0 38.0 38.0 38.0\n",
      " 38.0 38.0 41.0 42.0 40.0 38.0 31.0 27.0 10.0 8.0 7.0 3.0 12.0 25.0 27.0\n",
      " 24.0 25.0 26.0 27.0 27.0 28.0 24.0 23.0 22.0 23.0 24.0 24.0 24.0 21.0 21.0\n",
      " 20.0 20.0 20.0 17.0 10.0 10.0 9.0 4.0 5.0 6.0 7.0 8.0 10.0 10.0 11.0 11.0\n",
      " 11.0 11.0 12.0 13.0 13.0 13.0 13.0 12.0 11.0 10.0 10.0 10.0 11.0 12.0 14.0\n",
      " 15.0 15.0 16.0 17.0 22.0 22.0 17.0 17.0 17.0 17.0 17.0 17.0 17.0 17.0 17.0\n",
      " 17.0 17.0 17.0 16.0 16.0 16.0 15.0 15.0 15.0 15.0 15.0 15.0 14.0 14.0 13.0\n",
      " 12.0 13.0 13.0 10.0 9.0 8.0 10.0 10.0 11.0 11.0 7.0 7.0 8.0 9.0 7.0 3.0\n",
      " 2.0]\n",
      "[29.0 -- 21.0 14.0 17.0 22.0 23.0 16.0 11.0 19.0 22.0 11.0 4.0 8.0 9.0 12.0\n",
      " 20.0 22.0 12.0 12.0 13.0 15.0 19.0 23.0 24.0 34.0 7.0 2.0 8.0 11.0 17.0\n",
      " 26.0 39.0 40.0 40.0 38.0 36.0 56.0 59.0 66.0 66.0 64.0 63.0 54.0 48.0 47.0\n",
      " 37.0 31.0 31.0 31.0 32.0 35.0 33.0 30.0 28.0 27.0 32.0 38.0 39.0 36.0 23.0\n",
      " 17.0 15.0 13.0 11.0 3.0 15.0 20.0 22.0 25.0 31.0 26.0 24.0 21.0 22.0 23.0\n",
      " 23.0 22.0 20.0 23.0 25.0 24.0 24.0 22.0 22.0 23.0 23.0 23.0 20.0 16.0 15.0\n",
      " 14.0 14.0 9.0 9.0 5.0 5.0 7.0 8.0 8.0 9.0 9.0 9.0 9.0 8.0 8.0 7.0 7.0 8.0\n",
      " 11.0 11.0 12.0 12.0 12.0 13.0 14.0 14.0 13.0 10.0 10.0 10.0 11.0 11.0 11.0\n",
      " 12.0 14.0 14.0 14.0 15.0 15.0 15.0 15.0 16.0 13.0 13.0 12.0 11.0 10.0 10.0\n",
      " 11.0 11.0 12.0 12.0 12.0 12.0 12.0 11.0 11.0 10.0 8.0 8.0 8.0 8.0 7.0 6.0\n",
      " 6.0 7.0 9.0 11.0 11.0 12.0 11.0 9.0 9.0 8.0 7.0 5.0 4.0]\n",
      "[-- 19.0 17.0 15.0 12.0 17.0 20.0 21.0 31.0 25.0 23.0 23.0 16.0 0.0 1.0 3.0\n",
      " 5.0 7.0 10.0 10.0 13.0 14.0 16.0 16.0 2.0 15.0 15.0 12.0 11.0 8.0 4.0 5.0\n",
      " 7.0 8.0 15.0 15.0 28.0 34.0 39.0 49.0 48.0 47.0 44.0 43.0 48.0 59.0 66.0\n",
      " 67.0 67.0 64.0 56.0 52.0 50.0 45.0 43.0 34.0 28.0 32.0 33.0 34.0 37.0 29.0\n",
      " 27.0 25.0 25.0 17.0 22.0 24.0 29.0 22.0 16.0 11.0 6.0 8.0 9.0 11.0 11.0\n",
      " 19.0 21.0 23.0 21.0 20.0 16.0 15.0 13.0 12.0 13.0 13.0 16.0 15.0 14.0 10.0\n",
      " 7.0 8.0 9.0 10.0 11.0 11.0 12.0 13.0 14.0 15.0 19.0 20.0 22.0 22.0 21.0\n",
      " 20.0 20.0 15.0 16.0 16.0 17.0 17.0 17.0 17.0 17.0 17.0 16.0 16.0 16.0 16.0\n",
      " 15.0 15.0 15.0 15.0 15.0 14.0 14.0 14.0 14.0 14.0 15.0 15.0 15.0 16.0 16.0\n",
      " 15.0 12.0 12.0 12.0 10.0 9.0 8.0 6.0 6.0 6.0 6.0 5.0 5.0 5.0 4.0 4.0 7.0\n",
      " 6.0 6.0 6.0 4.0 3.0 0.0]\n",
      "[-- 13.0 13.0 10.0 4.0 3.0 3.0 4.0 4.0 4.0 13.0 30.0 26.0 25.0 22.0 21.0\n",
      " 22.0 23.0 25.0 25.0 17.0 9.0 6.0 9.0 12.0 16.0 22.0 37.0 41.0 39.0 30.0\n",
      " 27.0 50.0 52.0 58.0 59.0 64.0 65.0 67.0 68.0 70.0 70.0 69.0 66.0 63.0 63.0\n",
      " 64.0 56.0 51.0 46.0 37.0 36.0 24.0 23.0 10.0 19.0 21.0 22.0 35.0 32.0 18.0\n",
      " 18.0 22.0 34.0 31.0 29.0 27.0 26.0 30.0 31.0 34.0 27.0 23.0 18.0 16.0 15.0\n",
      " 15.0 14.0 14.0 14.0 13.0 13.0 13.0 15.0 16.0 16.0 11.0 11.0 12.0 16.0 19.0\n",
      " 19.0 14.0 13.0 13.0 14.0 16.0 17.0 15.0 16.0 17.0 30.0 30.0 30.0 29.0 28.0\n",
      " 26.0 24.0 23.0 22.0 23.0 24.0 23.0 20.0 20.0 19.0 19.0 18.0 18.0 18.0 18.0\n",
      " 18.0 18.0 18.0 19.0 19.0 19.0 19.0 15.0 14.0 14.0 14.0 13.0 14.0 15.0 11.0\n",
      " 11.0 11.0 10.0 10.0 10.0 9.0 9.0 8.0 6.0 6.0 6.0 6.0 6.0 6.0 7.0 7.0 6.0\n",
      " 6.0 6.0 6.0]\n",
      "[-- 37.0 33.0 32.0 22.0 17.0 8.0 10.0 12.0 12.0 23.0 12.0 10.0 8.0 7.0 13.0\n",
      " 16.0 18.0 8.0 15.0 18.0 18.0 28.0 31.0 34.0 27.0 1.0 12.0 19.0 22.0 33.0\n",
      " 32.0 29.0 31.0 27.0 20.0 26.0 32.0 42.0 44.0 45.0 46.0 56.0 61.0 63.0 63.0\n",
      " 62.0 58.0 56.0 56.0 53.0 49.0 40.0 34.0 32.0 22.0 26.0 37.0 36.0 30.0 30.0\n",
      " 28.0 28.0 17.0 19.0 22.0 27.0 18.0 15.0 15.0 16.0 16.0 18.0 18.0 20.0 22.0\n",
      " 34.0 34.0 40.0 40.0 32.0 18.0 17.0 13.0 11.0 10.0 6.0 6.0 9.0 10.0 14.0\n",
      " 15.0 15.0 15.0 15.0 16.0 18.0 18.0 17.0 18.0 18.0 22.0 24.0 26.0 27.0 27.0\n",
      " 26.0 26.0 25.0 24.0 24.0 24.0 23.0 23.0 23.0 22.0 22.0 21.0 21.0 21.0 20.0\n",
      " 20.0 18.0 19.0 20.0 22.0 23.0 23.0 23.0 23.0 23.0 23.0 24.0 24.0 25.0 26.0\n",
      " 26.0 27.0 27.0 27.0 26.0 25.0 25.0 25.0 24.0 23.0 23.0 23.0 23.0 21.0 20.0\n",
      " 20.0 18.0 17.0 17.0 16.0 16.0 15.0 14.0 13.0 12.0 12.0 12.0 12.0 12.0 12.0\n",
      " 12.0 11.0 9.0 4.0]\n",
      "[-- 3.0 10.0 12.0 15.0 19.0 19.0 18.0 14.0 13.0 13.0 12.0 10.0 17.0 22.0\n",
      " 31.0 38.0 39.0 43.0 45.0 43.0 43.0 41.0 41.0 58.0 59.0 60.0 60.0 60.0 59.0\n",
      " 54.0 52.0 51.0 50.0 47.0 45.0 36.0 38.0 39.0 44.0 45.0 44.0 42.0 39.0 37.0\n",
      " 31.0 29.0 27.0 10.0 2.0 18.0 21.0 27.0 29.0 26.0 29.0 30.0 34.0 35.0 35.0\n",
      " 32.0 32.0 28.0 20.0 19.0 0.0 3.0 3.0 4.0 8.0 10.0 10.0 11.0 10.0 11.0 11.0\n",
      " 12.0 12.0 11.0 11.0 11.0 18.0 20.0 23.0 22.0 22.0 18.0 16.0 15.0 17.0 21.0\n",
      " 25.0 27.0 32.0 32.0 31.0 30.0 29.0 29.0 29.0 28.0 26.0 25.0 25.0 24.0 24.0\n",
      " 24.0 24.0 24.0 24.0 23.0 23.0 23.0 22.0 22.0 22.0 22.0 21.0 21.0 21.0 20.0\n",
      " 19.0 18.0 18.0 17.0 16.0 15.0 15.0 15.0 14.0 14.0 15.0 15.0 16.0 16.0 17.0\n",
      " 17.0 17.0 17.0 17.0 17.0 17.0 17.0 18.0 18.0 18.0 15.0 15.0 14.0 13.0 13.0\n",
      " 12.0 11.0 11.0 13.0 14.0 14.0 14.0 14.0 13.0 12.0 12.0 10.0 10.0 12.0 12.0\n",
      " 12.0 10.0 7.0 6.0 5.0]\n",
      "[-- -- 25.0 22.0 7.0 16.0 21.0 31.0 34.0 27.0 28.0 44.0 50.0 51.0 51.0 47.0\n",
      " 51.0 52.0 52.0 51.0 58.0 55.0 49.0 49.0 46.0 46.0 30.0 31.0 32.0 41.0 41.0\n",
      " 40.0 39.0 38.0 30.0 25.0 9.0 13.0 25.0 27.0 28.0 29.0 32.0 27.0 27.0 28.0\n",
      " 22.0 18.0 18.0 21.0 21.0 29.0 28.0 24.0 23.0 22.0 20.0 18.0 15.0 13.0 10.0\n",
      " 11.0 11.0 21.0 24.0 24.0 24.0 24.0 24.0 24.0 23.0 20.0 15.0 17.0 17.0 16.0\n",
      " 16.0 16.0 17.0 17.0 17.0 16.0 16.0 18.0 17.0 17.0 17.0 17.0 18.0 23.0 15.0\n",
      " 14.0 13.0 12.0 10.0 9.0 8.0 7.0 6.0 4.0 6.0 7.0 8.0 11.0 11.0 11.0 11.0\n",
      " 11.0 12.0 12.0 11.0 10.0 11.0 11.0 10.0 7.0 8.0 8.0 7.0 8.0 12.0 12.0 12.0\n",
      " 13.0 13.0 13.0 13.0 12.0 10.0 9.0 10.0 9.0 8.0 7.0 6.0 5.0 2.0]\n",
      "[-- 105.0 87.0 80.0 81.0 85.0 68.0 65.0 79.0 102.0 125.0 113.0 100.0 100.0\n",
      " 108.0 110.0 105.0 105.0 105.0 101.0 91.0 85.0 84.0 75.0 70.0 105.0 108.0\n",
      " 125.0 121.0 117.0 100.0 95.0 85.0 93.0 95.0 100.0 100.0 95.0 93.0 90.0\n",
      " 87.0 85.0 80.0 80.0 80.0 80.0 80.0 87.0 105.0 100.0 90.0 90.0 90.0 90.0\n",
      " 88.0 86.0 84.0 82.0 80.0 80.0 74.0 65.0 64.0 60.0 57.0 52.0 50.0 46.0 43.0\n",
      " 40.0 42.0 45.0 45.0 45.0 35.0 23.0 20.0 20.0 16.0 6.0 5.0 15.0 20.0 24.0\n",
      " 40.0 56.0 66.0 85.0 101.0 122.0 128.0 130.0 147.0 150.0 146.0 142.0 135.0\n",
      " 150.0 144.0 141.0 133.0 128.0 125.0 127.0 127.0 128.0 129.0 130.0 158.0\n",
      " 169.0 180.0 181.0 184.0 185.0 186.0 188.0 190.0 190.0 190.0 230.0 230.0\n",
      " 232.0 233.0 234.0 234.0 235.0 236.0 240.0 230.0 227.0 225.0 223.0 222.0\n",
      " 220.0 222.0 230.0 234.0 235.0 225.0 230.0 231.0 235.0 243.0 250.0 250.0\n",
      " 250.0 235.0 245.0 243.0 235.0 235.0 235.0 235.0]\n",
      "[-- -- -- -- -- 80.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0\n",
      " 85.0 85.0 85.0 85.0 85.0 87.0 90.0 90.0 90.0 89.0 87.0 85.0 86.0 90.0 85.0\n",
      " 86.0 86.0 86.0 87.0 87.0 88.0 89.0 90.0 84.0 76.0 68.0 65.0 50.0 53.0 54.0\n",
      " 62.0 64.0 66.0 69.0 70.0 67.0 63.0 60.0 60.0 59.0 43.0 35.0 35.0 35.0 35.0\n",
      " 39.0 51.0 59.0 66.0 95.0 112.0 118.0 127.0 133.0 135.0 135.0 139.0 145.0\n",
      " 151.0 158.0 176.0 186.0 189.0 190.0 195.0 202.0 234.0 235.0 234.0 233.0\n",
      " 231.0 230.0 230.0 230.0 232.0 232.0 233.0 234.0 235.0 205.0 205.0 210.0\n",
      " 206.0 205.0 212.0 220.0 205.0 216.0 220.0 224.0 230.0 230.0 230.0 230.0\n",
      " 230.0 230.0 230.0 221.0 220.0 226.0 240.0 235.0 230.0 230.0 229.0 226.0\n",
      " 225.0 226.0 229.0 230.0 235.0 235.0 234.0 231.0 215.0 215.0 220.0]\n",
      "[-- 85.0 75.0 75.0 75.0 75.0 45.0 45.0 50.0 20.0 109.0 135.0 120.0 105.0\n",
      " 92.0 85.0 87.0 89.0 91.0 94.0 98.0 100.0 96.0 95.0 93.0 91.0 90.0 90.0\n",
      " 90.0 93.0 95.0 97.0 100.0 100.0 100.0 100.0 100.0 100.0 100.0 86.0 85.0\n",
      " 80.0 75.0 75.0 70.0 78.0 87.0 90.0 88.0 86.0 85.0 84.0 78.0 75.0 90.0 89.0\n",
      " 85.0 85.0 85.0 85.0 85.0 78.0 70.0 71.0 73.0 78.0 80.0 70.0 59.0 50.0 59.0\n",
      " 65.0 55.0 55.0 52.0 51.0 50.0 50.0 56.0 75.0 84.0 85.0 82.0 80.0 80.0 97.0\n",
      " 113.0 140.0 135.0 98.0 71.0 55.0 39.0 28.0 10.0 2.0 0.0 333.0 303.0 261.0\n",
      " 205.0 218.0 240.0 255.0 254.0 248.0 239.0 235.0 230.0 224.0 220.0 220.0\n",
      " 222.0 223.0 224.0 228.0 230.0 230.0 207.0 205.0 223.0 225.0 224.0 217.0\n",
      " 215.0 220.0 250.0 245.0 245.0 245.0 250.0 240.0 240.0 245.0 255.0 251.0\n",
      " 250.0 245.0 244.0 240.0 241.0 250.0 255.0 249.0 245.0]\n",
      "[-- 80.0 95.0 100.0 75.0 78.0 87.0 95.0 110.0 103.0 75.0 75.0 75.0 42.0\n",
      " 40.0 15.0 40.0 113.0 120.0 120.0 118.0 116.0 115.0 99.0 95.0 72.0 65.0\n",
      " 85.0 85.0 85.0 85.0 84.0 80.0 75.0 80.0 80.0 80.0 83.0 85.0 90.0 91.0 95.0\n",
      " 97.0 100.0 103.0 105.0 102.0 87.0 85.0 90.0 89.0 87.0 85.0 84.0 82.0 80.0\n",
      " 77.0 76.0 75.0 82.0 90.0 99.0 100.0 80.0 73.0 70.0 65.0 65.0 62.0 57.0\n",
      " 55.0 55.0 58.0 65.0 64.0 57.0 47.0 42.0 37.0 31.0 30.0 22.0 18.0 13.0 3.0\n",
      " 0.0 356.0 353.0 350.0 345.0 343.0 342.0 340.0 340.0 343.0 349.0 360.0 3.0\n",
      " 13.0 20.0 10.0 3.0 0.0 358.0 351.0 346.0 344.0 341.0 333.0 332.0 328.0\n",
      " 321.0 316.0 315.0 325.0 338.0 340.0 328.0 321.0 306.0 297.0 293.0 290.0\n",
      " 288.0 262.0 253.0 245.0 207.0 193.0 190.0 197.0 203.0 230.0 235.0 238.0\n",
      " 245.0 245.0 250.0 245.0 237.0 235.0 236.0 240.0 240.0 240.0 240.0 244.0\n",
      " 245.0 245.0 240.0 240.0 240.0 239.0 235.0 239.0 240.0]\n",
      "[-- 130.0 100.0 100.0 100.0 97.0 95.0 95.0 95.0 93.0 90.0 90.0 92.0 93.0\n",
      " 95.0 93.0 90.0 90.0 90.0 92.0 99.0 100.0 96.0 90.0 104.0 105.0 101.0 95.0\n",
      " 90.0 80.0 81.0 82.0 83.0 84.0 84.0 84.0 85.0 85.0 81.0 79.0 77.0 76.0 75.0\n",
      " 62.0 31.0 25.0 4.0 360.0 348.0 345.0 340.0 340.0 340.0 338.0 335.0 305.0\n",
      " 275.0 273.0 270.0 240.0 235.0 225.0 215.0 190.0 190.0 190.0 190.0 208.0\n",
      " 230.0 224.0 220.0 220.0 220.0 220.0 230.0 234.0 237.0 240.0 240.0 240.0\n",
      " 240.0 229.0 222.0 215.0 216.0 233.0 235.0 235.0 233.0 230.0 230.0 228.0\n",
      " 226.0 220.0 216.0 215.0 215.0 220.0 225.0 229.0 231.0 235.0 235.0 235.0\n",
      " 230.0 250.0 253.0 255.0 260.0 255.0 250.0 260.0 275.0 272.0 270.0 265.0]\n",
      "[95.0 -- 120.0 85.0 86.0 90.0 87.0 75.0 73.0 70.0 71.0 85.0 93.0 90.0 107.0\n",
      " 125.0 145.0 135.0 127.0 99.0 95.0 89.0 80.0 102.0 115.0 115.0 127.0 135.0\n",
      " 105.0 99.0 86.0 70.0 75.0 78.0 85.0 85.0 85.0 85.0 88.0 90.0 89.0 87.0\n",
      " 83.0 80.0 80.0 80.0 90.0 95.0 110.0 115.0 115.0 110.0 110.0 102.0 95.0\n",
      " 94.0 91.0 85.0 84.0 82.0 80.0 85.0 79.0 73.0 70.0 65.0 62.0 45.0 30.0 16.0\n",
      " 12.0 10.0 10.0 10.0 0.0 354.0 346.0 345.0 352.0 357.0 5.0 5.0 3.0 358.0\n",
      " 355.0 325.0 300.0 300.0 300.0 300.0 171.0 145.0 128.0 50.0 50.0 50.0 105.0\n",
      " 140.0 165.0 156.0 145.0 170.0 179.0 184.0 190.0 190.0 190.0 194.0 195.0\n",
      " 206.0 211.0 220.0 218.0 217.0 215.0 214.0 213.0 212.0 210.0 207.0 205.0\n",
      " 215.0 245.0 245.0 245.0 245.0 245.0 245.0 245.0 255.0 255.0 255.0 255.0\n",
      " 255.0 261.0 263.0 265.0 263.0 260.0 255.0 255.0 255.0 260.0 260.0 260.0\n",
      " 265.0 265.0 260.0 256.0 255.0]\n",
      "[-- 85.0 105.0 84.0 80.0 80.0 90.0 79.0 75.0 76.0 80.0 85.0 82.0 75.0 65.0\n",
      " 66.0 80.0 45.0 47.0 50.0 55.0 60.0 62.0 65.0 42.0 35.0 30.0 35.0 55.0 75.0\n",
      " 110.0 119.0 130.0 115.0 107.0 105.0 110.0 110.0 105.0 105.0 103.0 100.0\n",
      " 100.0 100.0 100.0 95.0 95.0 91.0 88.0 85.0 90.0 85.0 85.0 85.0 86.0 90.0\n",
      " 95.0 77.0 75.0 60.0 63.0 107.0 110.0 110.0 110.0 85.0 109.0 110.0 103.0\n",
      " 95.0 93.0 92.0 91.0 90.0 90.0 95.0 88.0 80.0 80.0 83.0 84.0 85.0 85.0 85.0\n",
      " 84.0 80.0 73.0 70.0 69.0 62.0 59.0 52.0 51.0 50.0 52.0 55.0 55.0 45.0 46.0\n",
      " 50.0 65.0 45.0 60.0 30.0 340.0 285.0 215.0 155.0 155.0 152.0 150.0 185.0\n",
      " 195.0 189.0 176.0 175.0 181.0 190.0 195.0 206.0 223.0 235.0 239.0 240.0\n",
      " 250.0 250.0 250.0 250.0 249.0 245.0 245.0 245.0 247.0 250.0 250.0 250.0\n",
      " 253.0 255.0 255.0 255.0 255.0 250.0 250.0 250.0 250.0 246.0 245.0 245.0\n",
      " 235.0 233.0 230.0]\n",
      "[-- 80.0 82.0 85.0 90.0 90.0 90.0 90.0 75.0 79.0 90.0 95.0 76.0 70.0 55.0\n",
      " 50.0 55.0 50.0 56.0 75.0 105.0 107.0 110.0 110.0 105.0 90.0 88.0 85.0 78.0\n",
      " 73.0 70.0 80.0 84.0 95.0 92.0 75.0 75.0 78.0 80.0 89.0 90.0 90.0 90.0 90.0\n",
      " 92.0 92.0 95.0 90.0 85.0 80.0 81.0 82.0 84.0 85.0 85.0 95.0 80.0 75.0 78.0\n",
      " 102.0 110.0 104.0 100.0 97.0 95.0 93.0 90.0 90.0 90.0 90.0 90.0 75.0 80.0\n",
      " 80.0 85.0 85.0 75.0 75.0 75.0 75.0 45.0 49.0 50.0 51.0 59.0 61.0 64.0 65.0\n",
      " 65.0 65.0 65.0 65.0 67.0 115.0 168.0 194.0 195.0 190.0 165.0 177.0 210.0\n",
      " 210.0 221.0 225.0 224.0 220.0 219.0 215.0 226.0 245.0 243.0 235.0 235.0\n",
      " 231.0 230.0 250.0 226.0 225.0 225.0 225.0 228.0 230.0 240.0 239.0 235.0\n",
      " 240.0 240.0 240.0 225.0 220.0 223.0 225.0 220.0 220.0 220.0 220.0 220.0]\n",
      "[-- 95.0 55.0 57.0 35.0 57.0 75.0 73.0 80.0 80.0 115.0 111.0 93.0 80.0 75.0\n",
      " 78.0 80.0 80.0 120.0 119.0 110.0 101.0 100.0 101.0 111.0 125.0 108.0 103.0\n",
      " 100.0 90.0 85.0 80.0 81.0 84.0 85.0 85.0 85.0 88.0 90.0 92.0 94.0 95.0\n",
      " 95.0 95.0 95.0 97.0 98.0 100.0 99.0 75.0 65.0 65.0 68.0 83.0 90.0 93.0\n",
      " 95.0 100.0 105.0 101.0 90.0 90.0 75.0 73.0 65.0 65.0 65.0 65.0 65.0 65.0\n",
      " 65.0 65.0 65.0 64.0 60.0 55.0 54.0 52.0 50.0 83.0 90.0 95.0 85.0 87.0 95.0\n",
      " 94.0 75.0 21.0 0.0 17.0 28.0 70.0 90.0 90.0 216.0 245.0 245.0 215.0 210.0\n",
      " 205.0 195.0 205.0 205.0 205.0 215.0 230.0 240.0 244.0 250.0 250.0 255.0\n",
      " 255.0 252.0 250.0 250.0 250.0 250.0 249.0 246.0 240.0 235.0 235.0 235.0\n",
      " 240.0 242.0 245.0 240.0 235.0 230.0 225.0 228.0 230.0 230.0 221.0 220.0]\n",
      "[-- 60.0 78.0 140.0 145.0 145.0 145.0 138.0 125.0 122.0 100.0 67.0 44.0\n",
      " 12.0 5.0 10.0 95.0 100.0 75.0 85.0 85.0 65.0 84.0 90.0 75.0 75.0 77.0 90.0\n",
      " 88.0 86.0 85.0 85.0 85.0 85.0 86.0 87.0 88.0 89.0 89.0 90.0 90.0 90.0 89.0\n",
      " 85.0 85.0 85.0 87.0 94.0 95.0 110.0 112.0 115.0 120.0 117.0 110.0 105.0\n",
      " 99.0 87.0 82.0 75.0 78.0 80.0 95.0 93.0 84.0 80.0 80.0 80.0 69.0 65.0 68.0\n",
      " 70.0 70.0 62.0 60.0 60.0 50.0 49.0 47.0 40.0 41.0 50.0 52.0 77.0 85.0 86.0\n",
      " 95.0 95.0 105.0 100.0 100.0 100.0 100.0 100.0 181.0 199.0 200.0 225.0\n",
      " 245.0 242.0 235.0 250.0 260.0 257.0 250.0 235.0 230.0 230.0 223.0 220.0\n",
      " 221.0 236.0 240.0 250.0 250.0 250.0 250.0 250.0 245.0 243.0 240.0 235.0\n",
      " 230.0 229.0 221.0 220.0 216.0 215.0 200.0]\n",
      "[-- 80.0 108.0 115.0 120.0 120.0 105.0 91.0 70.0 45.0 280.0 200.0 133.0\n",
      " 105.0 94.0 90.0 83.0 75.0 81.0 130.0 133.0 155.0 127.0 105.0 55.0 51.0\n",
      " 50.0 80.0 95.0 105.0 130.0 112.0 108.0 100.0 100.0 90.0 90.0 90.0 90.0\n",
      " 89.0 87.0 85.0 85.0 85.0 85.0 85.0 88.0 90.0 80.0 80.0 90.0 95.0 94.0 90.0\n",
      " 75.0 85.0 82.0 80.0 75.0 66.0 59.0 55.0 73.0 75.0 90.0 87.0 85.0 85.0 80.0\n",
      " 80.0 78.0 77.0 75.0 71.0 65.0 65.0 65.0 67.0 70.0 70.0 70.0 70.0 77.0 81.0\n",
      " 85.0 95.0 75.0 65.0 80.0 95.0 104.0 105.0 100.0 100.0 85.0 20.0 5.0 300.0\n",
      " 265.0 269.0 275.0 271.0 270.0 284.0 295.0 295.0 289.0 285.0 285.0 285.0\n",
      " 283.0 269.0 260.0 260.0 256.0 230.0 230.0 230.0 231.0 235.0 240.0 240.0\n",
      " 245.0 241.0 240.0 244.0 246.0 250.0 255.0 255.0 250.0 245.0 240.0 230.0\n",
      " 228.0 225.0 215.0 212.0 204.0 200.0 185.0 188.0 190.0]\n",
      "[-- 85.0 85.0 79.0 70.0 72.0 75.0 90.0 105.0 95.0 115.0 111.0 85.0 83.0\n",
      " 76.0 75.0 105.0 101.0 100.0 115.0 110.0 107.0 105.0 114.0 115.0 61.0 60.0\n",
      " 103.0 105.0 75.0 65.0 65.0 35.0 36.0 40.0 45.0 95.0 93.0 92.0 90.0 90.0\n",
      " 90.0 90.0 90.0 95.0 95.0 95.0 94.0 87.0 85.0 85.0 85.0 85.0 80.0 77.0 70.0\n",
      " 80.0 93.0 100.0 100.0 100.0 95.0 92.0 91.0 84.0 80.0 83.0 84.0 86.0 90.0\n",
      " 90.0 85.0 84.0 80.0 80.0 72.0 70.0 67.0 55.0 55.0 55.0 55.0 55.0 56.0 57.0\n",
      " 59.0 60.0 60.0 60.0 57.0 54.0 52.0 50.0 54.0 56.0 60.0 61.0 66.0 69.0 71.0\n",
      " 73.0 75.0 70.0 90.0 100.0 103.0 105.0 103.0 100.0 100.0 105.0 75.0 45.0\n",
      " 40.0 27.0 310.0 309.0 290.0 286.0 268.0 254.0 235.0 233.0 225.0 237.0\n",
      " 240.0 260.0 258.0 250.0 249.0 246.0 240.0 235.0 237.0 238.0 240.0 240.0\n",
      " 240.0 240.0 240.0 240.0 240.0 243.0 244.0 245.0 245.0 245.0 245.0 253.0\n",
      " 255.0 249.0 245.0 245.0 238.0 230.0 222.0 220.0 195.0 200.0 190.0]\n",
      "[-- 80.0 70.0 72.0 80.0 87.0 90.0 92.0 95.0 92.0 80.0 60.0 60.0 20.0 89.0\n",
      " 100.0 105.0 109.0 110.0 75.0 75.0 110.0 126.0 135.0 100.0 92.0 75.0 73.0\n",
      " 62.0 60.0 60.0 60.0 59.0 55.0 75.0 75.0 92.0 100.0 98.0 95.0 95.0 100.0\n",
      " 98.0 96.0 95.0 95.0 95.0 95.0 95.0 91.0 85.0 92.0 100.0 78.0 60.0 62.0\n",
      " 65.0 74.0 80.0 83.0 85.0 83.0 82.0 81.0 80.0 80.0 81.0 82.0 83.0 85.0 85.0\n",
      " 85.0 82.0 76.0 71.0 70.0 70.0 70.0 70.0 70.0 70.0 70.0 69.0 65.0 57.0 55.0\n",
      " 80.0 80.0 80.0 73.0 65.0 72.0 75.0 75.0 75.0 81.0 85.0 80.0 76.0 72.0 71.0\n",
      " 70.0 75.0 85.0 70.0 41.0 35.0 34.0 30.0 23.0 350.0 316.0 277.0 265.0 256.0\n",
      " 243.0 240.0 240.0 240.0 240.0 240.0 248.0 250.0 250.0 250.0 250.0 250.0\n",
      " 245.0 245.0 243.0 240.0 240.0 241.0 245.0 245.0 245.0 245.0 247.0 250.0\n",
      " 250.0 242.0 240.0 235.0 230.0 226.0 225.0 215.0 215.0 215.0]\n",
      "[-- 95.0 90.0 90.0 90.0 90.0 95.0 85.0 85.0 81.0 78.0 75.0 77.0 105.0 100.0\n",
      " 95.0 90.0 75.0 86.0 95.0 125.0 116.0 115.0 108.0 102.0 85.0 80.0 77.0 75.0\n",
      " 75.0 78.0 80.0 73.0 70.0 70.0 70.0 65.0 60.0 60.0 71.0 75.0 77.0 80.0 86.0\n",
      " 89.0 90.0 90.0 90.0 90.0 90.0 85.0 81.0 80.0 89.0 94.0 96.0 100.0 92.0\n",
      " 85.0 85.0 85.0 84.0 80.0 76.0 73.0 70.0 67.0 65.0 71.0 75.0 69.0 65.0 60.0\n",
      " 60.0 350.0 350.0 311.0 290.0 287.0 247.0 240.0 241.0 255.0 260.0 262.0\n",
      " 270.0 269.0 257.0 250.0 250.0 253.0 254.0 255.0 255.0 255.0 255.0 255.0\n",
      " 253.0 250.0 250.0 241.0 240.0 240.0 240.0 240.0 237.0 230.0 218.0 215.0\n",
      " 210.0 205.0 201.0 195.0 200.0 200.0]\n",
      "[-- 95.0 101.0 103.0 110.0 110.0 102.0 100.0 75.0 80.0 80.0 93.0 115.0 85.0\n",
      " 90.0 105.0 105.0 102.0 80.0 80.0 80.0 95.0 92.0 76.0 65.0 95.0 60.0 83.0\n",
      " 115.0 110.0 100.0 100.0 100.0 145.0 135.0 130.0 110.0 110.0 105.0 101.0\n",
      " 89.0 85.0 80.0 80.0 82.0 90.0 101.0 105.0 100.0 95.0 91.0 87.0 85.0 86.0\n",
      " 90.0 90.0 90.0 90.0 90.0 90.0 91.0 94.0 95.0 80.0 78.0 70.0 74.0 75.0 45.0\n",
      " 46.0 48.0 49.0 50.0 95.0 77.0 74.0 70.0 70.0 70.0 65.0 65.0 65.0 55.0 55.0\n",
      " 57.0 60.0 55.0 54.0 51.0 50.0 50.0 50.0 67.0 70.0 72.0 75.0 80.0 80.0 80.0\n",
      " 90.0 98.0 100.0 97.0 94.0 89.0 85.0 92.0 95.0 95.0 95.0 96.0 96.0 97.0\n",
      " 99.0 100.0 100.0 89.0 75.0 70.0 50.0 73.0 75.0 39.0 3.0 340.0 318.0 310.0\n",
      " 292.0 265.0 238.0 235.0 239.0 240.0 247.0 255.0 259.0 260.0 270.0 265.0\n",
      " 255.0 260.0 260.0 255.0 255.0 253.0 245.0 241.0 232.0 230.0 227.0 210.0\n",
      " 205.0 195.0 195.0 185.0]\n",
      "[-- 90.0 71.0 65.0 95.0 100.0 110.0 110.0 110.0 104.0 100.0 86.0 80.0 79.0\n",
      " 75.0 75.0 85.0 85.0 88.0 90.0 90.0 90.0 88.0 85.0 86.0 95.0 100.0 103.0\n",
      " 110.0 110.0 106.0 97.0 76.0 70.0 69.0 65.0 55.0 60.0 65.0 87.0 105.0 215.0\n",
      " 190.0 125.0 116.0 104.0 90.0 84.0 83.0 75.0 70.0 55.0 55.0 55.0 45.0 43.0\n",
      " 41.0 40.0 41.0 45.0 47.0 57.0 60.0 64.0 67.0 73.0 75.0 80.0 90.0 90.0\n",
      " 103.0 105.0 104.0 100.0 111.0 120.0 122.0 134.0 140.0 140.0 139.0 137.0\n",
      " 135.0 100.0 100.0 100.0 94.0 55.0 19.0 305.0 290.0 285.0 277.0 262.0 257.0\n",
      " 255.0 268.0 280.0 279.0 276.0 275.0 263.0 260.0 262.0 270.0 265.0 263.0\n",
      " 260.0 265.0 268.0 270.0 267.0 266.0 265.0 256.0 255.0 255.0 255.0 244.0\n",
      " 230.0 195.0 0.0]\n",
      "[120.0 -- 135.0 127.0 122.0 101.0 90.0 98.0 105.0 110.0 120.0 130.0 130.0\n",
      " 120.0 100.0 101.0 130.0 150.0 120.0 121.0 135.0 135.0 145.0 176.0 200.0\n",
      " 132.0 108.0 90.0 93.0 99.0 100.0 96.0 95.0 75.0 70.0 70.0 70.0 110.0 110.0\n",
      " 108.0 98.0 95.0 95.0 95.0 95.0 92.0 85.0 85.0 85.0 85.0 85.0 84.0 81.0\n",
      " 80.0 85.0 85.0 88.0 89.0 90.0 93.0 103.0 110.0 108.0 95.0 95.0 95.0 95.0\n",
      " 88.0 86.0 82.0 80.0 68.0 25.0 10.0 47.0 55.0 75.0 74.0 67.0 61.0 60.0 72.0\n",
      " 80.0 78.0 50.0 46.0 45.0 45.0 42.0 40.0 35.0 36.0 40.0 45.0 50.0 51.0 57.0\n",
      " 60.0 64.0 70.0 65.0 83.0 87.0 90.0 92.0 93.0 94.0 95.0 94.0 91.0 90.0 90.0\n",
      " 106.0 120.0 111.0 104.0 100.0 104.0 105.0 100.0 99.0 78.0 71.0 45.0 77.0\n",
      " 114.0 115.0 35.0 335.0 331.0 330.0 330.0 323.0 318.0 313.0 307.0 293.0\n",
      " 290.0 286.0 280.0 274.0 267.0 265.0 265.0 265.0 265.0 265.0 265.0 263.0\n",
      " 262.0 260.0 260.0 260.0 257.0 256.0 255.0 255.0 255.0 255.0 250.0 249.0\n",
      " 235.0 227.0 225.0 205.0 199.0 190.0 191.0 195.0]\n",
      "[-- 90.0 88.0 81.0 80.0 84.0 112.0 115.0 107.0 97.0 90.0 85.0 54.0 50.0\n",
      " 55.0 58.0 75.0 63.0 40.0 51.0 55.0 64.0 65.0 69.0 73.0 94.0 100.0 95.0\n",
      " 100.0 100.0 100.0 100.0 100.0 90.0 90.0 90.0 90.0 90.0 90.0 87.0 83.0 80.0\n",
      " 80.0 80.0 75.0 75.0 75.0 75.0 75.0 75.0 95.0 103.0 115.0 109.0 105.0 105.0\n",
      " 105.0 92.0 90.0 101.0 120.0 110.0 107.0 73.0 60.0 59.0 56.0 55.0 45.0 40.0\n",
      " 40.0 40.0 37.0 30.0 32.0 35.0 40.0 47.0 54.0 65.0 78.0 85.0 85.0 85.0 88.0\n",
      " 90.0 90.0 90.0 90.0 95.0 99.0 109.0 140.0 136.0 131.0 125.0 125.0 124.0\n",
      " 117.0 101.0 90.0 59.0 33.0 25.0 59.0 85.0 85.0 84.0 66.0 61.0 56.0 55.0\n",
      " 25.0 27.0 39.0 45.0 351.0 319.0 310.0 308.0 293.0 290.0 289.0 287.0 285.0\n",
      " 285.0 285.0 285.0 282.0 275.0 272.0 270.0 280.0 280.0 278.0 265.0 250.0\n",
      " 250.0 250.0 240.0 237.0 225.0 230.0 246.0 0.0]\n",
      "[-- 65.0 50.0 50.0 75.0 95.0 93.0 85.0 93.0 100.0 80.0 103.0 110.0 110.0\n",
      " 65.0 65.0 65.0 0.0 21.0 55.0 68.0 84.0 120.0 118.0 116.0 115.0 112.0 107.0\n",
      " 102.0 98.0 95.0 89.0 85.0 83.0 70.0 75.0 90.0 130.0 135.0 131.0 99.0 89.0\n",
      " 80.0 81.0 85.0 86.0 90.0 90.0 90.0 90.0 92.0 94.0 95.0 93.0 85.0 80.0 80.0\n",
      " 80.0 93.0 95.0 84.0 80.0 73.0 55.0 60.0 65.0 77.0 93.0 100.0 80.0 87.0\n",
      " 100.0 97.0 78.0 75.0 73.0 60.0 45.0 35.0 280.0 242.0 170.0 166.0 140.0\n",
      " 137.0 125.0 109.0 100.0 108.0 110.0 110.0 89.0 69.0 55.0 50.0 39.0 29.0\n",
      " 20.0 15.0 12.0 10.0 12.0 21.0 30.0 30.0 33.0 35.0 35.0 43.0 60.0 62.0 65.0\n",
      " 68.0 71.0 80.0 81.0 93.0 111.0 119.0 125.0 114.0 85.0 80.0 77.0 57.0 47.0\n",
      " 34.0 0.0 1.0 1.0 3.0 3.0 4.0 5.0 7.0 8.0 9.0 10.0 10.0 90.0 84.0 80.0 76.0\n",
      " 49.0 20.0 340.0 327.0 305.0 285.0 275.0 285.0 290.0 300.0 302.0 305.0\n",
      " 305.0 305.0 304.0 302.0 300.0 300.0 286.0 280.0 280.0 280.0 280.0 283.0\n",
      " 285.0 288.0 290.0 291.0 295.0 289.0 285.0]\n",
      "[-- 65.0 65.0 66.0 67.0 69.0 70.0 55.0 43.0 40.0 85.0 95.0 88.0 85.0 89.0\n",
      " 114.0 120.0 102.0 97.0 95.0 78.0 75.0 75.0 73.0 65.0 62.0 60.0 65.0 76.0\n",
      " 83.0 85.0 87.0 90.0 90.0 90.0 90.0 88.0 85.0 89.0 94.0 95.0 99.0 105.0\n",
      " 105.0 105.0 95.0 92.0 75.0 75.0 85.0 90.0 80.0 80.0 84.0 100.0 93.0 91.0\n",
      " 88.0 87.0 86.0 85.0 82.0 80.0 71.0 63.0 33.0 30.0 80.0 47.0 10.0 7.0 4.0\n",
      " 1.0 0.0 3.0 5.0 5.0 9.0 11.0 12.0 14.0 15.0 17.0 27.0 30.0 19.0 15.0 5.0\n",
      " 9.0 17.0 35.0 45.0 45.0 47.0 49.0 51.0 55.0 55.0 49.0 35.0 35.0 37.0 37.0\n",
      " 38.0 38.0 39.0 40.0 50.0 53.0 80.0 80.0 45.0 54.0 195.0 184.0 175.0 195.0\n",
      " 282.0 295.0 295.0 295.0 296.0 300.0 295.0 299.0 300.0 300.0 300.0 285.0\n",
      " 285.0 285.0 287.0 295.0 295.0 308.0 310.0]\n",
      "[-- 105.0 105.0 105.0 98.0 95.0 95.0 80.0 80.0 90.0 78.0 70.0 76.0 80.0\n",
      " 69.0 60.0 50.0 55.0 55.0 50.0 80.0 55.0 72.0 75.0 63.0 50.0 295.0 214.0\n",
      " 205.0 193.0 150.0 130.0 120.0 130.0 120.0 110.0 111.0 100.0 94.0 85.0 88.0\n",
      " 90.0 90.0 86.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0\n",
      " 85.0 85.0 79.0 75.0 80.0 91.0 100.0 73.0 70.0 87.0 90.0 89.0 87.0 84.0\n",
      " 83.0 80.0 68.0 60.0 46.0 40.0 45.0 45.0 46.0 49.0 51.0 52.0 53.0 55.0 59.0\n",
      " 60.0 54.0 40.0 35.0 30.0 25.0 21.0 20.0 30.0 20.0 23.0 25.0 25.0 11.0 5.0\n",
      " 5.0 8.0 10.0 10.0 30.0 31.0 33.0 34.0 35.0 40.0 40.0 5.0 10.0 54.0 82.0\n",
      " 91.0 107.0 143.0 160.0 130.0 160.0 235.0 244.0 259.0 265.0 275.0 280.0\n",
      " 280.0 273.0 270.0 265.0 266.0 277.0 280.0 289.0 295.0 291.0 286.0 285.0\n",
      " 283.0 281.0 280.0 280.0 275.0 274.0 270.0 269.0 265.0 260.0 255.0 255.0\n",
      " 255.0 255.0 255.0]\n",
      "[-- -- 100.0 97.0 94.0 91.0 87.0 85.0 95.0 94.0 90.0 90.0 140.0 150.0 160.0\n",
      " 112.0 85.0 73.0 45.0 45.0 45.0 45.0 33.0 30.0 85.0 100.0 99.0 93.0 90.0\n",
      " 77.0 75.0 76.0 80.0 81.0 85.0 90.0 90.0 90.0 90.0 90.0 91.0 94.0 95.0 95.0\n",
      " 90.0 90.0 97.0 105.0 106.0 110.0 103.0 87.0 76.0 70.0 75.0 90.0 78.0 65.0\n",
      " 65.0 85.0 95.0 100.0 105.0 96.0 94.0 90.0 90.0 89.0 88.0 86.0 75.0 78.0\n",
      " 79.0 80.0 81.0 82.0 90.0 95.0 93.0 91.0 89.0 86.0 83.0 75.0 75.0 73.0 66.0\n",
      " 60.0 70.0 75.0 75.0 75.0 75.0 75.0 75.0 75.0 74.0 72.0 70.0 68.0 67.0 65.0\n",
      " 64.0 63.0 62.0 61.0 60.0 64.0 69.0 70.0 66.0 60.0 55.0 50.0 49.0 40.0 55.0\n",
      " 35.0 14.0 6.0 0.0 108.0 150.0 161.0 192.0 230.0 318.0 320.0 313.0 285.0\n",
      " 285.0 285.0 280.0 285.0 287.0 289.0 290.0 290.0 275.0 275.0 265.0 265.0\n",
      " 265.0 270.0 280.0 281.0 285.0 275.0 270.0]\n",
      "[-- 66.0 65.0 100.0 93.0 90.0 80.0 85.0 95.0 135.0 135.0 107.0 90.0 91.0\n",
      " 91.0 92.0 95.0 95.0 95.0 95.0 95.0 89.0 85.0 85.0 85.0 80.0 85.0 81.0 84.0\n",
      " 85.0 110.0 98.0 90.0 93.0 110.0 130.0 118.0 115.0 100.0 105.0 110.0 120.0\n",
      " 87.0 65.0 66.0 70.0 75.0 71.0 65.0 64.0 63.0 54.0 50.0 55.0 55.0 67.0 68.0\n",
      " 70.0 70.0 74.0 74.0 80.0 85.0 89.0 107.0 110.0 110.0 110.0 99.0 90.0 90.0\n",
      " 87.0 79.0 60.0 62.0 65.0 70.0 75.0 68.0 61.0 56.0 53.0 50.0 47.0 45.0 45.0\n",
      " 45.0 41.0 38.0 25.0 14.0 5.0 355.0 345.0 318.0 305.0 305.0 305.0 303.0\n",
      " 302.0 300.0 299.0 295.0 290.0 280.0 292.0 295.0 295.0 295.0 295.0 296.0\n",
      " 299.0 300.0 300.0 300.0 300.0 299.0 290.0 287.0 286.0 285.0 285.0 285.0\n",
      " 290.0 263.0 260.0 260.0 250.0 249.0 245.0 245.0 225.0]\n",
      "[-- 95.0 105.0 150.0 110.0 125.0 124.0 119.0 115.0 115.0 115.0 150.0 95.0\n",
      " 95.0 95.0 95.0 90.0 77.0 75.0 56.0 50.0 25.0 49.0 100.0 94.0 83.0 75.0\n",
      " 76.0 80.0 50.0 50.0 50.0 60.0 105.0 130.0 125.0 120.0 102.0 75.0 80.0 85.0\n",
      " 85.0 85.0 86.0 88.0 90.0 85.0 85.0 85.0 87.0 89.0 90.0 90.0 70.0 75.0 82.0\n",
      " 87.0 90.0 95.0 86.0 85.0 85.0 85.0 95.0 105.0 104.0 95.0 94.0 80.0 69.0\n",
      " 66.0 58.0 50.0 59.0 60.0 60.0 60.0 55.0 60.0 64.0 69.0 75.0 75.0 75.0 75.0\n",
      " 75.0 80.0 79.0 73.0 72.0 70.0 65.0 70.0 73.0 74.0 77.0 80.0 90.0 84.0 76.0\n",
      " 65.0 70.0 72.0 95.0 80.0 78.0 75.0 80.0 70.0 93.0 152.0 238.0 240.0 280.0\n",
      " 282.0 300.0 297.0 295.0 298.0 302.0 305.0 306.0 313.0 315.0 313.0 295.0\n",
      " 300.0 302.0 303.0 305.0 285.0 284.0 280.0 265.0 265.0 262.0 260.0 245.0\n",
      " 245.0 235.0 230.0 230.0]\n",
      "[-- 85.0 108.0 115.0 125.0 125.0 170.0 165.0 170.0 140.0 129.0 88.0 80.0\n",
      " 75.0 92.0 110.0 121.0 125.0 106.0 90.0 81.0 60.0 60.0 45.0 62.0 70.0 75.0\n",
      " 80.0 80.0 83.0 90.0 90.0 85.0 89.0 90.0 90.0 90.0 90.0 90.0 90.0 90.0 91.0\n",
      " 93.0 95.0 77.0 70.0 70.0 70.0 55.0 75.0 75.0 53.0 50.0 84.0 94.0 100.0\n",
      " 96.0 89.0 85.0 57.0 55.0 100.0 95.0 160.0 108.0 85.0 50.0 50.0 59.0 60.0\n",
      " 65.0 68.0 70.0 70.0 70.0 70.0 70.0 70.0 70.0 74.0 77.0 78.0 80.0 85.0 75.0\n",
      " 73.0 70.0 74.0 75.0 75.0 75.0 61.0 52.0 40.0 40.0 40.0 40.0 40.0 40.0 40.0\n",
      " 25.0 30.0 79.0 95.0 70.0 125.0 127.0 159.0 305.0 290.0 293.0 295.0 302.0\n",
      " 318.0 325.0 325.0 325.0 321.0 318.0 315.0 320.0 316.0 310.0 309.0 295.0\n",
      " 292.0 286.0 280.0 283.0 286.0 290.0 290.0 290.0 285.0 290.0 286.0 275.0\n",
      " 256.0 240.0 245.0]\n",
      "[-- 90.0 88.0 85.0 85.0 85.0 85.0 84.0 80.0 90.0 90.0 93.0 105.0 96.0 93.0\n",
      " 91.0 90.0 80.0 90.0 89.0 49.0 41.0 40.0 77.0 90.0 88.0 84.0 78.0 75.0 70.0\n",
      " 71.0 75.0 75.0 75.0 75.0 75.0 75.0 75.0 75.0 75.0 80.0 82.0 84.0 88.0 90.0\n",
      " 90.0 88.0 87.0 85.0 85.0 83.0 78.0 75.0 72.0 70.0 75.0 84.0 91.0 100.0\n",
      " 95.0 88.0 69.0 65.0 70.0 85.0 60.0 5.0 0.0 0.0 0.0 0.0 1.0 3.0 5.0 3.0 0.0\n",
      " 2.0 6.0 10.0 10.0 10.0 10.0 355.0 334.0 315.0 313.0 311.0 310.0 307.0\n",
      " 300.0 295.0 301.0 305.0 305.0 310.0 306.0 305.0 298.0 295.0 290.0 293.0\n",
      " 294.0 295.0 291.0 290.0]\n",
      "[-- 80.0 81.0 82.0 82.0 84.0 85.0 85.0 85.0 84.0 80.0 80.0 80.0 63.0 60.0\n",
      " 45.0 93.0 130.0 153.0 185.0 190.0 90.0 60.0 61.0 65.0 65.0 85.0 105.0\n",
      " 140.0 128.0 110.0 95.0 95.0 90.0 80.0 85.0 85.0 90.0 95.0 92.0 90.0 90.0\n",
      " 90.0 90.0 90.0 90.0 90.0 90.0 92.0 95.0 85.0 82.0 80.0 80.0 80.0 115.0\n",
      " 100.0 96.0 95.0 85.0 110.0 113.0 115.0 80.0 84.0 85.0 84.0 73.0 67.0 55.0\n",
      " 60.0 65.0 75.0 75.0 70.0 55.0 55.0 65.0 70.0 83.0 85.0 90.0 90.0 85.0 95.0\n",
      " 85.0 85.0 85.0 90.0 75.0 70.0 70.0 70.0 75.0 80.0 80.0 84.0 85.0 85.0 85.0\n",
      " 84.0 82.0 80.0 75.0 74.0 49.0 43.0 29.0 23.0 5.0 3.0 356.0 340.0 320.0\n",
      " 320.0 330.0 310.0 312.0 318.0 320.0 319.0 315.0 317.0 320.0 320.0 310.0\n",
      " 305.0 300.0 297.0 280.0 280.0 280.0 278.0 245.0 242.0 241.0 240.0 240.0\n",
      " 235.0]\n",
      "[-- 100.0 72.0 46.0 39.0 33.0 27.0 25.0 25.0 27.0 30.0 32.0 33.0 34.0 35.0\n",
      " 35.0 35.0 45.0 48.0 50.0 50.0 45.0 40.0 35.0 35.0 33.0 30.0 25.0 23.0 20.0\n",
      " 20.0 18.0 15.0 20.0 17.0 16.0 15.0 15.0 15.0 15.0 10.0 356.0 352.0 346.0\n",
      " 345.0 5.0 5.0 351.0 335.0 335.0 340.0 315.0 320.0 316.0 310.0 301.0 280.0\n",
      " 285.0 300.0 305.0 305.0 305.0 301.0 300.0 295.0 290.0]\n",
      "[-- 120.0 90.0 90.0 90.0 90.0 84.0 70.0 65.0 67.0 83.0 92.0 95.0 94.0 90.0\n",
      " 87.0 85.0 85.0 87.0 89.0 90.0 94.0 95.0 95.0 95.0 95.0 95.0 95.0 93.0 90.0\n",
      " 81.0 80.0 80.0 80.0 80.0 80.0 80.0 84.0 105.0 106.0 115.0 107.0 105.0 99.0\n",
      " 68.0 65.0 74.0 80.0 90.0 115.0 114.0 95.0 93.0 88.0 82.0 65.0 68.0 70.0\n",
      " 69.0 65.0 58.0 55.0 55.0 55.0 55.0 58.0 60.0 56.0 52.0 50.0 48.0 45.0 45.0\n",
      " 46.0 48.0 48.0 50.0 51.0 52.0 54.0 55.0 55.0 60.0 64.0 65.0 68.0 80.0 78.0\n",
      " 76.0 69.0 65.0 58.0 55.0 69.0 86.0 90.0 90.0 90.0 90.0 90.0 90.0 87.0 85.0\n",
      " 89.0 92.0 93.0 98.0 101.0 102.0 105.0 115.0 118.0 120.0 115.0 110.0 113.0\n",
      " 115.0 117.0 140.0 138.0 135.0 130.0 129.0 121.0 115.0 105.0 109.0 112.0\n",
      " 115.0 98.0 95.0 95.0 95.0 94.0 86.0 85.0 89.0 90.0 85.0 87.0 105.0 108.0\n",
      " 143.0 160.0 117.0 105.0 83.0 75.0 32.0 350.0 300.0 272.0 250.0 228.0 225.0\n",
      " 250.0 262.0 295.0 295.0 295.0 285.0]\n",
      "[-- 85.0 81.0 75.0 90.0 97.0 110.0 83.0 74.0 70.0 80.0 105.0 99.0 80.0 88.0\n",
      " 100.0 100.0 97.0 90.0 88.0 88.0 86.0 85.0 85.0 61.0 50.0 52.0 53.0 55.0\n",
      " 55.0 55.0 57.0 70.0 79.0 80.0 83.0 85.0 85.0 85.0 85.0 85.0 90.0 97.0\n",
      " 100.0 123.0 135.0 111.0 100.0 90.0 86.0 77.0 70.0 70.0 73.0 75.0 80.0 83.0\n",
      " 88.0 90.0 99.0 100.0 94.0 88.0 84.0 80.0 79.0 77.0 75.0 75.0 80.0 90.0\n",
      " 89.0 86.0 84.0 83.0 81.0 80.0 85.0 89.0 96.0 100.0 100.0 100.0 100.0 99.0\n",
      " 91.0 89.0 85.0 85.0 89.0 90.0 84.0 83.0 80.0 86.0 100.0 102.0 103.0 104.0\n",
      " 105.0 96.0 95.0 100.0 115.0 100.0 95.0 95.0 94.0 90.0 90.0 95.0 96.0 105.0\n",
      " 100.0 15.0 349.0 325.0 329.0 330.0 0.0]\n",
      "[-- 110.0 104.0 98.0 91.0 80.0 80.0 81.0 83.0 85.0 96.0 98.0 100.0 130.0\n",
      " 158.0 165.0 155.0 143.0 140.0 65.0 74.0 90.0 105.0 109.0 114.0 120.0 85.0\n",
      " 70.0 61.0 52.0 40.0 35.0 37.0 50.0 68.0 120.0 103.0 95.0 94.0 90.0 85.0\n",
      " 89.0 100.0 100.0 97.0 95.0 104.0 105.0 105.0 97.0 87.0 80.0 92.0 95.0 95.0\n",
      " 91.0 90.0 73.0 50.0 61.0 70.0 77.0 79.0 85.0 95.0 105.0 92.0 54.0 15.0\n",
      " 13.0 10.0 16.0 34.0 35.0 40.0 44.0 50.0 24.0 18.0 14.0 0.0 21.0 65.0 84.0\n",
      " 175.0 176.0 184.0 200.0 213.0 215.0 175.0 160.0 165.0 174.0 180.0 170.0\n",
      " 170.0 170.0 167.0 165.0 165.0 170.0 167.0 165.0 145.0 140.0 158.0 171.0\n",
      " 180.0 190.0 195.0 220.0 248.0 255.0 260.0 258.0 247.0 245.0 248.0 255.0\n",
      " 250.0 258.0 260.0 264.0 265.0 265.0 265.0 265.0 250.0 250.0]\n",
      "[-- -- -- -- -- -- 55.0 83.0 85.0 85.0 85.0 90.0 90.0 89.0 89.0 87.0 86.0\n",
      " 85.0 85.0 85.0 85.0 88.0 90.0 90.0 87.0 85.0 84.0 80.0 79.0 77.0 75.0 79.0\n",
      " 82.0 85.0 87.0 89.0 90.0 89.0 87.0 85.0 70.0 70.0 71.0 75.0 80.0 63.0 55.0\n",
      " 56.0 56.0 58.0 58.0 60.0 62.0 66.0 67.0 69.0 73.0 73.0 74.0 75.0 74.0 67.0\n",
      " 63.0 57.0 48.0 45.0 40.0 39.0 37.0 35.0 75.0 117.0 121.0 129.0 159.0 170.0\n",
      " 170.0 170.0 182.0 189.0 194.0 202.0 206.0 210.0 215.0 221.0 230.0 219.0\n",
      " 206.0 185.0 185.0 185.0 189.0 190.0 192.0 197.0 205.0 205.0 223.0 230.0\n",
      " 230.0 230.0 230.0 225.0 227.0 230.0 235.0 235.0 235.0 235.0 235.0 236.0\n",
      " 240.0 241.0 243.0 245.0 260.0 255.0 251.0 250.0 250.0 250.0 252.0 255.0\n",
      " 255.0 255.0 255.0 255.0 240.0 230.0]\n",
      "[-- 80.0 91.0 120.0 135.0 135.0 134.0 135.0 120.0 82.0 75.0 78.0 84.0 90.0\n",
      " 90.0 130.0 80.0 85.0 84.0 75.0 75.0 285.0 221.0 185.0 130.0 124.0 95.0\n",
      " 95.0 75.0 65.0 65.0 70.0 70.0 74.0 85.0 88.0 90.0 93.0 95.0 95.0 92.0 91.0\n",
      " 90.0 90.0 89.0 85.0 86.0 89.0 90.0 92.0 93.0 100.0 80.0 80.0 65.0 75.0\n",
      " 85.0 92.0 98.0 105.0 91.0 90.0 86.0 85.0 84.0 80.0 71.0 63.0 55.0 64.0\n",
      " 68.0 75.0 80.0 79.0 76.0 76.0 75.0 76.0 78.0 80.0 82.0 83.0 85.0 87.0 90.0\n",
      " 90.0 93.0 94.0 94.0 95.0 90.0 84.0 68.0 65.0 70.0 90.0 101.0 130.0 150.0\n",
      " 144.0 120.0 126.0 137.0 140.0 141.0 149.0 154.0 155.0 155.0 154.0 151.0\n",
      " 150.0 161.0 170.0 175.0 190.0 201.0 204.0 205.0 202.0 200.0 180.0 180.0\n",
      " 180.0 183.0 190.0 195.0 201.0 205.0 205.0 205.0 205.0 205.0 205.0 207.0\n",
      " 215.0 221.0 225.0 228.0 231.0 235.0 235.0 235.0 229.0 225.0 228.0 238.0\n",
      " 240.0 240.0 240.0 240.0 242.0 245.0 245.0 245.0 245.0 245.0 245.0 243.0\n",
      " 240.0 236.0 235.0 233.0 230.0]\n",
      "[-- 80.0 80.0 81.0 81.0 84.0 85.0 79.0 56.0 40.0 41.0 45.0 78.0 115.0 115.0\n",
      " 105.0 118.0 120.0 100.0 105.0 40.0 85.0 94.0 100.0 80.0 65.0 65.0 80.0\n",
      " 120.0 120.0 103.0 100.0 85.0 86.0 88.0 95.0 90.0 90.0 90.0 90.0 90.0 90.0\n",
      " 90.0 90.0 90.0 90.0 90.0 90.0 90.0 90.0 85.0 82.0 75.0 72.0 70.0 65.0 72.0\n",
      " 106.0 125.0 118.0 99.0 93.0 85.0 77.0 72.0 60.0 66.0 70.0 65.0 72.0 75.0\n",
      " 77.0 79.0 80.0 81.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0 85.0\n",
      " 90.0 103.0 110.0 130.0 145.0 135.0 130.0 137.0 141.0 144.0 145.0 149.0\n",
      " 150.0 149.0 145.0 145.0 148.0 150.0 151.0 190.0 195.0 210.0 205.0 210.0\n",
      " 217.0 223.0 225.0 227.0 229.0 230.0 233.0 235.0 235.0 235.0 233.0 230.0\n",
      " 230.0 230.0 230.0 228.0 225.0 225.0 227.0 230.0 227.0 225.0 225.0 225.0\n",
      " 225.0 230.0 230.0 235.0 237.0 240.0 245.0 240.0]\n",
      "[95.0 -- 97.0 105.0 80.0 85.0 150.0 150.0 145.0 94.0 75.0 93.0 95.0 94.0\n",
      " 91.0 90.0 83.0 70.0 84.0 85.0 105.0 105.0 135.0 134.0 119.0 114.0 105.0\n",
      " 100.0 95.0 95.0 91.0 90.0 87.0 85.0 85.0 88.0 91.0 95.0 91.0 90.0 90.0\n",
      " 90.0 88.0 86.0 82.0 80.0 75.0 73.0 65.0 59.0 55.0 64.0 85.0 83.0 75.0 73.0\n",
      " 70.0 68.0 65.0 74.0 84.0 85.0 80.0 72.0 66.0 65.0 65.0 65.0 65.0 69.0 72.0\n",
      " 73.0 75.0 75.0 77.0 78.0 78.0 79.0 80.0 81.0 82.0 82.0 85.0 85.0 85.0 85.0\n",
      " 85.0 84.0 83.0 82.0 82.0 81.0 81.0 80.0 80.0 80.0 82.0 88.0 92.0 98.0\n",
      " 104.0 124.0 140.0 140.0 135.0 140.0 164.0 182.0 195.0 210.0 209.0 205.0\n",
      " 205.0 205.0 205.0 222.0 225.0 250.0 250.0 250.0 249.0 245.0 245.0 245.0\n",
      " 245.0 240.0 240.0 240.0 240.0 239.0 235.0 235.0 235.0 235.0 235.0 235.0\n",
      " 233.0 230.0]\n",
      "[-- 40.0 0.0 40.0 60.0 64.0 94.0 100.0 99.0 91.0 85.0 120.0 112.0 90.0 89.0\n",
      " 72.0 50.0 51.0 55.0 65.0 64.0 55.0 90.0 91.0 95.0 95.0 95.0 90.0 90.0 90.0\n",
      " 90.0 90.0 90.0 90.0 86.0 80.0 80.0 76.0 75.0 84.0 95.0 95.0 95.0 85.0\n",
      " 100.0 102.0 105.0 80.0 55.0 60.0 61.0 85.0 82.0 79.0 67.0 60.0 75.0 83.0\n",
      " 85.0 80.0 80.0 80.0 80.0 80.0 80.0 80.0 80.0 82.0 82.0 82.0 83.0 83.0 84.0\n",
      " 85.0 85.0 86.0 89.0 90.0 92.0 95.0 95.0 105.0 100.0 102.0 105.0 103.0 89.0\n",
      " 80.0 84.0 87.0 90.0 90.0 89.0 87.0 86.0 82.0 80.0 81.0 94.0 100.0 104.0\n",
      " 110.0 110.0 110.0 127.0 158.0 220.0 234.0 250.0 255.0 259.0 265.0 270.0\n",
      " 259.0 255.0 250.0 250.0 249.0 245.0 244.0 240.0 241.0 241.0 245.0 245.0\n",
      " 244.0 241.0 238.0 235.0 241.0 245.0 245.0 245.0 245.0 245.0 245.0 245.0\n",
      " 250.0 250.0 245.0 242.0 240.0 245.0 244.0 240.0 240.0 240.0]\n",
      "[-- 105.0 100.0 95.0 75.0 79.0 80.0 115.0 108.0 105.0 125.0 130.0 120.0\n",
      " 90.0 90.0 80.0 65.0 81.0 110.0 106.0 94.0 86.0 85.0 120.0 175.0 135.0\n",
      " 105.0 65.0 66.0 62.0 60.0 60.0 66.0 70.0 75.0 72.0 57.0 55.0 65.0 94.0\n",
      " 95.0 100.0 95.0 95.0 95.0 95.0 95.0 95.0 95.0 95.0 95.0 95.0 92.0 86.0\n",
      " 85.0 70.0 71.0 75.0 85.0 85.0 84.0 83.0 82.0 81.0 80.0 60.0 65.0 73.0 80.0\n",
      " 105.0 95.0 90.0 86.0 77.0 75.0 75.0 75.0 75.0 71.0 70.0 64.0 60.0 60.0\n",
      " 75.0 60.0 62.0 75.0 80.0 95.0 83.0 80.0 92.0 95.0 118.0 130.0 126.0 116.0\n",
      " 57.0 32.0 15.0 15.0 31.0 36.0 51.0 70.0 51.0 33.0 17.0 15.0 11.0 10.0 2.0\n",
      " 352.0 349.0 326.0 306.0 295.0 295.0 295.0 295.0 290.0 283.0 271.0 267.0\n",
      " 265.0 263.0 255.0 249.0 245.0 245.0 245.0 247.0 249.0 250.0 245.0 237.0\n",
      " 235.0 233.0 230.0 230.0 230.0 233.0 235.0 241.0 250.0 245.0 240.0 240.0\n",
      " 250.0 250.0 245.0 231.0 225.0 230.0 227.0 225.0]\n",
      "[-- 110.0 107.0 102.0 86.0 85.0 95.0 97.0 100.0 96.0 80.0 60.0 60.0 63.0\n",
      " 80.0 65.0 90.0 85.0 80.0 65.0 79.0 105.0 90.0 80.0 5.0 9.0 0.0 135.0 124.0\n",
      " 100.0 97.0 95.0 95.0 90.0 92.0 70.0 79.0 85.0 86.0 90.0 91.0 95.0 95.0\n",
      " 95.0 95.0 95.0 98.0 100.0 100.0 92.0 80.0 82.0 85.0 90.0 88.0 85.0 85.0\n",
      " 86.0 100.0 110.0 103.0 95.0 110.0 120.0 81.0 73.0 55.0 125.0 190.0 190.0\n",
      " 105.0 98.0 89.0 80.0 80.0 80.0 79.0 70.0 65.0 65.0 61.0 50.0 45.0 15.0\n",
      " 265.0 14.0 70.0 40.0 38.0 15.0 15.0 27.0 30.0 29.0 25.0 10.0 35.0 23.0\n",
      " 353.0 330.0 270.0 275.0 263.0 255.0 245.0 245.0 245.0 245.0 250.0 235.0\n",
      " 235.0 231.0 230.0 237.0 240.0 242.0 244.0 245.0 248.0 253.0 255.0 265.0\n",
      " 258.0 255.0 250.0 250.0 250.0 255.0 255.0]\n",
      "[-- 85.0 81.0 78.0 75.0 82.0 80.0 110.0 120.0 118.0 113.0 110.0 90.0 90.0\n",
      " 93.0 105.0 118.0 140.0 123.0 80.0 100.0 115.0 115.0 95.0 75.0 69.0 55.0\n",
      " 105.0 105.0 105.0 90.0 84.0 80.0 75.0 80.0 96.0 105.0 95.0 97.0 105.0\n",
      " 100.0 98.0 88.0 86.0 85.0 85.0 76.0 75.0 82.0 90.0 90.0 91.0 100.0 97.0\n",
      " 92.0 85.0 87.0 90.0 80.0 78.0 74.0 57.0 54.0 46.0 35.0 341.0 261.0 260.0\n",
      " 322.0 330.0 50.0 54.0 60.0 60.0 60.0 60.0 60.0 60.0 55.0 46.0 30.0 45.0\n",
      " 30.0 345.0 339.0 205.0 240.0 235.0 275.0 300.0 298.0 296.0 295.0 290.0\n",
      " 280.0 281.0 293.0 310.0 300.0 295.0 291.0 290.0 280.0 270.0 266.0 260.0\n",
      " 245.0 247.0 250.0 253.0 255.0 260.0 258.0 256.0 250.0 267.0 270.0 272.0\n",
      " 275.0 275.0 275.0 265.0 265.0 272.0 275.0 286.0 295.0]\n",
      "[-- 85.0 70.0 70.0 70.0 90.0 93.0 100.0 70.0 69.0 63.0 60.0 69.0 70.0 8.0\n",
      " 340.0 310.0 290.0 224.0 165.0 144.0 130.0 120.0 115.0 110.0 125.0 115.0\n",
      " 100.0 90.0 86.0 82.0 80.0 85.0 91.0 95.0 95.0 93.0 85.0 85.0 85.0 85.0\n",
      " 85.0 85.0 85.0 95.0 95.0 95.0 85.0 92.0 100.0 100.0 95.0 92.0 90.0 90.0\n",
      " 75.0 70.0 65.0 55.0 55.0 55.0 55.0 42.0 40.0 35.0 31.0 27.0 25.0 25.0 25.0\n",
      " 25.0 60.0 70.0 75.0 90.0 135.0 135.0 205.0 205.0 245.0 245.0 270.0 265.0\n",
      " 255.0 237.0 230.0 245.0 265.0 265.0 278.0 289.0 292.0 305.0 305.0 307.0\n",
      " 308.0 309.0 309.0 310.0 310.0 308.0 300.0 295.0 293.0 285.0 285.0 275.0\n",
      " 275.0 275.0 277.0 280.0 269.0 260.0 264.0 265.0 280.0 268.0 265.0 260.0\n",
      " 260.0 260.0 255.0 245.0 235.0 225.0]\n",
      "[-- 105.0 101.0 96.0 95.0 91.0 59.0 55.0 55.0 64.0 70.0 70.0 70.0 108.0\n",
      " 115.0 85.0 89.0 110.0 98.0 95.0 115.0 115.0 105.0 125.0 129.0 145.0 113.0\n",
      " 95.0 115.0 115.0 52.0 45.0 22.0 15.0 110.0 130.0 130.0 111.0 100.0 107.0\n",
      " 110.0 110.0 110.0 110.0 105.0 100.0 96.0 95.0 91.0 90.0 90.0 90.0 90.0\n",
      " 85.0 83.0 80.0 79.0 78.0 78.0 76.0 75.0 95.0 95.0 95.0 99.0 105.0 110.0\n",
      " 106.0 100.0 101.0 104.0 115.0 111.0 108.0 100.0 105.0 105.0 70.0 56.0 55.0\n",
      " 55.0 55.0 52.0 50.0 50.0 58.0 63.0 69.0 70.0 75.0 75.0 74.0 69.0 68.0 66.0\n",
      " 65.0 64.0 63.0 60.0 52.0 45.0 43.0 32.0 28.0 25.0 36.0 50.0 54.0 60.0 35.0\n",
      " 40.0 48.0 55.0 110.0 169.0 185.0 190.0 215.0 241.0 245.0 254.0 255.0 255.0\n",
      " 250.0 253.0 253.0 255.0 257.0 275.0 282.0 285.0 281.0 274.0 270.0 280.0\n",
      " 275.0 260.0 260.0 259.0 259.0 258.0 257.0 254.0 252.0 250.0 265.0 258.0\n",
      " 255.0 258.0 259.0 260.0 262.0 265.0 268.0 270.0 260.0 250.0 251.0 270.0\n",
      " 265.0 265.0 261.0 260.0 260.0 265.0 260.0 260.0 260.0 260.0 257.0 255.0]\n",
      "[-- 90.0 88.0 84.0 70.0 73.0 91.0 100.0 103.0 107.0 112.0 125.0 135.0 128.0\n",
      " 83.0 80.0 75.0 70.0 65.0 55.0 65.0 70.0 70.0 55.0 55.0 35.0 26.0 25.0 45.0\n",
      " 55.0 80.0 80.0 82.0 85.0 90.0 90.0 90.0 90.0 90.0 90.0 90.0 90.0 89.0 80.0\n",
      " 85.0 86.0 89.0 90.0 85.0 80.0 90.0 113.0 120.0 88.0 85.0 85.0 90.0 101.0\n",
      " 115.0 115.0 111.0 77.0 70.0 65.0 65.0 60.0 56.0 55.0 59.0 60.0 63.0 65.0\n",
      " 91.0 99.0 126.0 130.0 180.0 177.0 165.0 162.0 160.0 160.0 195.0 192.0\n",
      " 180.0 187.0 220.0 209.0 200.0 200.0 213.0 220.0 210.0 235.0 231.0 230.0\n",
      " 230.0 270.0 275.0 278.0 288.0 295.0 295.0 290.0 290.0 285.0 300.0 300.0\n",
      " 295.0 290.0 290.0 290.0 290.0 293.0 300.0 300.0 282.0 275.0 274.0 255.0\n",
      " 253.0 250.0 245.0 233.0 225.0 230.0 236.0 242.0 245.0 257.0 260.0 256.0\n",
      " 255.0 250.0 248.0 245.0 250.0 245.0]\n",
      "[-- -- -- -- -- -- -- 65.0 54.0 40.0 42.0 45.0 45.0 48.0 49.0 50.0 54.0\n",
      " 70.0 72.0 80.0 83.0 85.0 87.0 94.0 100.0 115.0 118.0 129.0 132.0 135.0\n",
      " 120.0 121.0 125.0 125.0 155.0 145.0 146.0 149.0 153.0 155.0 165.0 178.0\n",
      " 192.0 201.0 206.0 215.0 210.0 213.0 219.0 220.0 230.0 238.0 268.0 285.0\n",
      " 286.0 290.0 284.0 276.0 271.0 270.0 271.0 272.0 275.0 264.0 250.0 249.0\n",
      " 243.0 240.0 235.0 250.0 240.0 235.0 230.0 225.0 206.0 205.0 189.0 180.0\n",
      " 177.0 176.0 175.0]\n",
      "[-- 90.0 85.0 90.0 90.0 89.0 85.0 88.0 90.0 95.0 95.0 90.0 86.0 83.0 80.0\n",
      " 75.0 76.0 85.0 84.0 81.0 77.0 73.0 70.0 80.0 80.0 80.0 74.0 64.0 55.0 55.0\n",
      " 55.0 55.0 55.0 55.0 54.0 45.0 45.0 47.0 50.0 50.0 50.0 42.0 35.0 50.0 63.0\n",
      " 89.0 99.0 100.0 115.0 120.0 122.0 125.0 115.0 121.0 135.0 135.0 130.0\n",
      " 137.0 160.0 156.0 145.0 144.0 140.0 140.0 120.0 117.0 114.0 112.0 111.0\n",
      " 105.0 105.0 155.0 151.0 136.0 112.0 110.0 130.0 50.0 327.0 310.0 285.0\n",
      " 263.0 260.0 277.0 280.0 275.0 260.0 265.0 265.0 265.0 265.0 220.0 0.0]\n",
      "[30.0 -- 48.0 77.0 75.0 90.0 75.0 80.0 84.0 100.0 108.0 128.0 166.0 197.0\n",
      " 225.0 164.0 130.0 140.0 140.0 133.0 130.0 117.0 100.0 96.0 95.0 115.0\n",
      " 110.0 80.0 85.0 87.0 100.0 90.0 85.0 99.0 105.0 110.0 100.0 75.0 65.0 65.0\n",
      " 65.0 90.0 90.0 90.0 95.0 95.0 91.0 90.0 90.0 82.0 80.0 80.0 83.0 100.0\n",
      " 98.0 95.0 92.0 85.0 80.0 75.0 76.0 85.0 84.0 65.0 66.0 68.0 70.0 65.0 65.0\n",
      " 75.0 63.0 54.0 50.0 50.0 48.0 45.0 44.0 42.0 40.0 40.0 40.0 40.0 38.0 37.0\n",
      " 37.0 35.0 35.0 36.0 36.0 37.0 39.0 40.0 40.0 44.0 60.0 80.0 103.0 105.0\n",
      " 103.0 98.0 97.0 93.0 89.0 87.0 85.0 85.0 86.0 86.0 86.0 86.0 87.0 87.0\n",
      " 88.0 89.0 89.0 89.0 90.0 90.0 90.0 90.0 90.0 89.0 87.0 87.0 87.0 86.0 86.0\n",
      " 85.0 84.0 83.0 80.0 79.0 77.0 76.0 75.0 70.0 67.0 65.0 68.0 76.0 82.0 85.0\n",
      " 86.0 92.0 100.0 81.0 17.0 15.0 0.0 14.0 35.0 46.0 50.0 30.0 35.0 35.0 21.0\n",
      " 348.0 345.0 345.0 343.0 340.0 80.0 80.0 70.0 75.0 80.0]\n",
      "[-- -- 125.0 135.0 130.0 115.0 112.0 105.0 102.0 86.0 60.0 50.0 15.0 10.0\n",
      " 15.0 354.0 325.0 240.0 110.0 103.0 65.0 50.0 41.0 40.0 185.0 125.0 65.0\n",
      " 69.0 92.0 100.0 105.0 110.0 115.0 90.0 85.0 85.0 85.0 95.0 90.0 87.0 85.0\n",
      " 85.0 83.0 80.0 80.0 80.0 80.0 80.0 84.0 97.0 99.0 105.0 105.0 105.0 90.0\n",
      " 94.0 105.0 101.0 88.0 86.0 81.0 71.0 65.0 70.0 70.0 70.0 40.0 40.0 38.0\n",
      " 35.0 35.0 35.0 35.0 43.0 44.0 50.0 52.0 62.0 72.0 80.0 75.0 76.0 85.0 85.0\n",
      " 65.0 55.0 60.0 59.0 57.0 55.0 79.0 110.0 111.0 113.0 118.0 119.0 120.0\n",
      " 116.0 100.0 93.0 88.0 85.0 84.0 82.0 78.0 75.0 72.0 70.0 83.0 85.0 82.0\n",
      " 80.0 80.0 79.0 77.0 75.0 75.0 71.0 70.0 72.0 73.0 76.0 77.0 78.0 80.0 75.0\n",
      " 65.0 67.0 81.0 85.0 86.0 90.0 93.0 95.0 92.0 90.0 88.0 87.0 86.0 85.0 75.0\n",
      " 75.0 77.0 78.0 80.0 55.0 52.0 30.0 20.0 15.0 7.0 5.0 14.0 15.0 30.0 30.0\n",
      " 30.0 30.0]\n",
      "[-- 80.0 85.0 93.0 95.0 110.0 125.0 120.0 120.0 130.0 140.0 88.0 80.0 75.0\n",
      " 70.0 80.0 85.0 85.0 85.0 85.0 129.0 160.0 146.0 65.0 54.0 51.0 50.0 64.0\n",
      " 70.0 64.0 40.0 41.0 50.0 90.0 92.0 94.0 95.0 82.0 80.0 100.0 100.0 100.0\n",
      " 100.0 98.0 96.0 95.0 95.0 94.0 92.0 90.0 88.0 85.0 85.0 80.0 80.0 80.0\n",
      " 86.0 90.0 95.0 95.0 95.0 93.0 89.0 87.0 85.0 78.0 72.0 69.0 62.0 55.0 65.0\n",
      " 69.0 74.0 80.0 82.0 83.0 86.0 89.0 94.0 98.0 100.0 103.0 105.0 107.0 110.0\n",
      " 73.0 65.0 60.0 61.0 64.0 70.0 70.0 66.0 63.0 60.0 59.0 55.0 52.0 50.0 47.0\n",
      " 45.0 60.0 53.0 50.0 50.0 50.0 48.0 47.0 46.0 46.0 45.0 45.0 47.0 49.0 53.0\n",
      " 54.0 55.0 56.0 60.0 100.0 101.0 105.0 110.0 110.0 110.0 105.0 103.0 100.0\n",
      " 115.0 115.0 105.0 101.0 100.0 105.0 85.0 85.0 85.0 70.0 75.0 75.0 75.0\n",
      " 68.0 64.0 60.0 60.0 62.0 64.0 65.0 63.0 60.0 65.0 70.0 70.0 95.0 111.0\n",
      " 130.0]\n",
      "[-- 110.0 160.0 185.0 265.0 201.0 175.0 130.0 126.0 115.0 97.0 95.0 94.0\n",
      " 95.0 55.0 180.0 179.0 85.0 84.0 78.0 75.0 70.0 62.0 60.0 90.0 50.0 45.0\n",
      " 45.0 95.0 94.0 89.0 80.0 77.0 65.0 70.0 75.0 75.0 80.0 87.0 90.0 90.0 90.0\n",
      " 90.0 90.0 100.0 105.0 98.0 95.0 92.0 75.0 79.0 85.0 86.0 95.0 95.0 95.0\n",
      " 91.0 81.0 55.0 61.0 75.0 75.0 80.0 145.0 146.0 155.0 148.0 113.0 53.0 45.0\n",
      " 42.0 11.0 355.0 355.0 14.0 20.0 20.0 24.0 30.0 34.0 39.0 40.0 45.0 65.0\n",
      " 65.0 61.0 45.0 57.0 62.0 65.0 69.0 70.0 62.0 60.0 60.0 55.0 58.0 68.0 70.0\n",
      " 55.0 68.0 75.0 75.0 75.0 76.0 80.0 75.0 113.0 125.0 150.0 152.0 154.0\n",
      " 155.0 150.0 155.0 155.0 158.0 163.0 170.0 167.0 160.0 160.0 158.0 155.0\n",
      " 160.0 165.0 135.0 120.0 115.0 99.0 93.0 90.0 91.0 95.0 95.0 100.0 112.0\n",
      " 144.0 145.0 150.0 133.0 0.0]\n",
      "[-- 80.0 75.0 76.0 50.0 55.0 92.0 135.0 89.0 85.0 75.0 45.0 60.0 58.0 50.0\n",
      " 336.0 290.0 290.0 288.0 287.0 275.0 275.0 271.0 270.0 223.0 205.0 250.0\n",
      " 254.0 255.0 225.0 130.0 120.0 110.0 100.0 100.0 100.0 85.0 85.0 75.0 75.0\n",
      " 84.0 90.0 75.0 77.0 83.0 85.0 85.0 85.0 88.0 100.0 99.0 92.0 90.0 100.0\n",
      " 93.0 90.0 87.0 85.0 85.0 80.0 75.0 65.0 66.0 72.0 75.0 75.0 75.0 75.0 75.0\n",
      " 130.0 130.0 134.0 142.0 145.0 123.0 115.0 86.0 80.0 57.0 54.0 49.0 44.0\n",
      " 20.0 20.0 20.0 20.0 20.0 17.0 15.0 14.0 13.0 12.0 11.0 10.0 10.0 15.0 17.0\n",
      " 20.0 42.0 55.0 84.0 90.0 90.0 90.0 90.0 92.0 130.0 135.0 140.0 140.0 140.0\n",
      " 135.0 137.0 143.0 147.0 154.0 157.0 158.0 160.0 159.0 158.0 155.0 155.0\n",
      " 156.0 156.0 156.0 157.0 158.0 159.0 161.0 161.0 162.0 163.0 165.0 165.0\n",
      " 165.0 165.0 165.0 162.0 159.0 158.0 155.0 155.0 156.0 158.0 159.0 159.0\n",
      " 159.0 160.0 156.0 154.0 152.0 150.0 150.0 155.0 165.0 151.0 145.0 145.0\n",
      " 145.0 135.0 113.0 102.0 100.0 86.0 85.0 105.0 120.0 110.0 110.0 110.0 97.0\n",
      " 85.0 85.0 85.0 78.0 55.0]\n",
      "[-- 95.0 95.0 95.0 95.0 85.0 87.0 82.0 80.0 80.0 60.0 356.0 350.0 29.0\n",
      " 103.0 140.0 156.0 190.0 270.0 255.0 247.0 240.0 145.0 116.0 85.0 46.0 40.0\n",
      " 36.0 24.0 325.0 326.0 335.0 334.0 328.0 325.0 359.0 25.0 100.0 105.0 125.0\n",
      " 122.0 107.0 105.0 102.0 93.0 90.0 90.0 89.0 85.0 84.0 82.0 82.0 80.0 80.0\n",
      " 84.0 85.0 85.0 93.0 105.0 103.0 100.0 96.0 93.0 90.0 87.0 85.0 90.0 95.0\n",
      " 87.0 83.0 65.0 104.0 122.0 195.0 173.0 144.0 140.0 110.0 99.0 87.0 78.0\n",
      " 66.0 60.0 55.0 52.0 50.0 56.0 60.0 60.0 59.0 51.0 50.0 65.0 75.0 85.0 85.0\n",
      " 85.0 92.0 125.0 150.0 154.0 160.0 159.0 155.0 152.0 151.0 150.0 140.0\n",
      " 122.0 115.0 123.0 130.0 130.0 135.0 137.0 139.0 141.0 144.0 145.0 145.0\n",
      " 144.0 143.0 142.0 141.0 140.0 140.0 140.0 135.0 135.0 135.0 138.0 140.0\n",
      " 141.0 144.0 146.0 147.0 148.0 149.0 150.0 149.0 148.0 143.0 141.0 140.0\n",
      " 129.0 126.0 125.0 125.0 123.0 121.0 117.0 115.0 120.0 130.0 125.0 125.0\n",
      " 135.0 140.0 145.0 153.0 155.0 134.0 125.0 125.0 125.0 110.0 105.0 100.0\n",
      " 85.0 35.0]\n",
      "[95.0 -- 108.0 120.0 105.0 78.0 75.0 59.0 45.0 160.0 205.0 215.0 10.0 360.0\n",
      " 355.0 347.0 325.0 320.0 220.0 221.0 225.0 235.0 195.0 135.0 110.0 85.0\n",
      " 114.0 120.0 111.0 108.0 100.0 120.0 100.0 55.0 55.0 67.0 80.0 100.0 100.0\n",
      " 100.0 100.0 96.0 95.0 92.0 90.0 90.0 90.0 85.0 94.0 110.0 103.0 90.0 80.0\n",
      " 70.0 81.0 85.0 91.0 99.0 100.0 99.0 96.0 95.0 95.0 95.0 95.0 95.0 116.0\n",
      " 125.0 126.0 127.0 130.0 127.0 126.0 125.0 125.0 125.0 125.0 127.0 130.0\n",
      " 133.0 135.0 131.0 129.0 116.0 115.0 111.0 111.0 110.0 108.0 105.0 105.0\n",
      " 90.0 89.0 56.0 55.0 87.0 90.0 107.0 115.0 120.0 125.0 125.0 124.0 124.0\n",
      " 124.0 122.0 121.0 120.0 118.0 115.0 115.0 115.0 115.0 115.0 115.0 115.0\n",
      " 115.0 110.0 100.0 100.0 102.0 103.0 104.0 105.0 111.0 118.0 120.0 119.0\n",
      " 118.0 117.0 115.0 113.0 110.0 116.0 119.0 120.0 123.0 125.0 125.0 121.0\n",
      " 118.0 116.0 115.0 114.0 113.0 110.0 104.0 100.0 107.0 115.0 114.0 112.0\n",
      " 110.0 110.0 110.0 115.0 117.0 120.0 124.0 125.0 125.0 126.0 130.0 145.0\n",
      " 137.0 120.0 127.0 130.0]\n",
      "[-- 90.0 93.0 99.0 105.0 125.0 115.0 110.0 105.0 84.0 75.0 75.0 20.0 0.0\n",
      " 336.0 283.0 215.0 154.0 65.0 66.0 2.0 335.0 339.0 340.0 265.0 153.0 160.0\n",
      " 79.0 60.0 46.0 25.0 63.0 97.0 140.0 155.0 155.0 128.0 115.0 110.0 100.0\n",
      " 101.0 104.0 110.0 95.0 93.0 90.0 90.0 90.0 90.0 90.0 90.0 90.0 91.0 94.0\n",
      " 95.0 101.0 105.0 105.0 105.0 85.0 80.0 100.0 83.0 67.0 65.0 80.0 90.0 94.0\n",
      " 105.0 90.0 73.0 60.0 45.0 89.0 111.0 139.0 145.0 130.0 128.0 125.0 125.0\n",
      " 125.0 125.0 125.0 125.0 125.0 125.0 125.0 125.0 130.0 125.0 95.0 125.0\n",
      " 120.0 105.0 102.0 95.0 90.0 55.0 56.0 58.0 59.0 65.0 68.0 80.0 80.0 78.0\n",
      " 76.0 73.0 60.0 65.0 69.0 73.0 74.0 75.0 75.0 75.0 75.0 75.0 75.0 75.0 75.0\n",
      " 75.0 75.0 75.0 74.0 73.0 71.0 71.0 70.0 70.0 70.0 71.0 72.0 73.0 75.0 75.0\n",
      " 68.0 55.0 57.0 60.0 60.0 60.0 60.0 78.0 80.0 100.0 99.0 95.0 95.0 105.0\n",
      " 140.0 150.0 155.0 175.0 163.0 145.0 135.0 90.0 0.0]\n",
      "[-- 125.0 140.0 147.0 158.0 160.0 165.0 182.0 199.0 200.0 280.0 280.0 255.0\n",
      " 245.0 157.0 105.0 101.0 95.0 56.0 55.0 65.0 61.0 60.0 25.0 62.0 105.0\n",
      " 103.0 97.0 95.0 95.0 95.0 95.0 95.0 95.0 85.0 86.0 90.0 89.0 87.0 87.0\n",
      " 85.0 85.0 85.0 88.0 90.0 90.0 90.0 87.0 85.0 83.0 80.0 81.0 94.0 95.0 75.0\n",
      " 105.0 109.0 110.0 95.0 98.0 110.0 110.0 110.0 90.0 88.0 87.0 86.0 85.0\n",
      " 90.0 93.0 100.0 94.0 90.0 80.0 72.0 70.0 61.0 23.0 15.0 15.0 15.0 25.0\n",
      " 35.0 29.0 25.0 25.0 60.0 60.0 68.0 95.0 100.0 100.0 80.0 70.0 60.0 30.0\n",
      " 55.0 65.0 95.0 106.0 125.0 105.0 105.0 105.0 102.0 95.0 89.0 80.0 76.0\n",
      " 70.0 70.0 70.0 66.0 61.0 59.0 59.0 56.0 55.0 55.0 55.0 55.0 55.0 55.0 46.0\n",
      " 43.0 40.0 36.0 35.0 31.0 30.0 30.0 28.0 20.0 20.0 20.0 20.0 20.0 20.0 20.0\n",
      " 20.0 10.0 1.0 0.0 359.0 355.0 350.0 0.0 359.0 356.0 355.0 355.0 355.0\n",
      " 345.0 342.0 341.0 340.0]\n",
      "[-- 85.0 93.0 95.0 82.0 75.0 35.0 51.0 65.0 110.0 90.0 95.0 122.0 150.0\n",
      " 145.0 120.0 90.0 75.0 155.0 160.0 85.0 88.0 43.0 28.0 15.0 10.0 190.0\n",
      " 121.0 75.0 68.0 40.0 37.0 35.0 30.0 41.0 70.0 79.0 87.0 100.0 92.0 90.0\n",
      " 90.0 93.0 95.0 95.0 95.0 95.0 95.0 91.0 90.0 84.0 75.0 66.0 60.0 67.0\n",
      " 100.0 106.0 120.0 119.0 115.0 112.0 100.0 95.0 130.0 123.0 109.0 85.0 89.0\n",
      " 90.0 90.0 90.0 90.0 90.0 90.0 100.0 110.0 129.0 130.0 140.0 140.0 138.0\n",
      " 135.0 135.0 116.0 105.0 100.0 65.0 65.0 53.0 50.0 5.0 5.0 6.0 34.0 45.0\n",
      " 48.0 59.0 60.0 70.0 70.0 71.0 80.0 80.0 80.0 80.0 79.0 76.0 75.0 74.0 71.0\n",
      " 70.0 70.0 67.0 66.0 66.0 64.0 62.0 60.0 60.0 60.0 60.0 60.0 60.0 53.0 51.0\n",
      " 40.0 37.0 35.0 35.0 35.0 35.0 35.0 33.0 32.0 30.0 29.0 28.0 25.0 25.0 25.0\n",
      " 25.0 25.0 25.0 25.0 21.0 20.0 19.0 18.0 15.0 15.0 15.0 15.0 15.0 15.0 12.0\n",
      " 5.0 5.0 5.0 5.0 359.0 355.0 355.0 350.0 348.0 345.0 345.0 343.0 340.0\n",
      " 345.0 355.0]\n",
      "[-- 305.0 130.0 132.0 135.0 140.0 140.0 144.0 155.0 255.0 195.0 187.0 165.0\n",
      " 171.0 175.0 105.0 96.0 95.0 89.0 85.0 100.0 96.0 83.0 80.0 90.0 90.0 90.0\n",
      " 90.0 90.0 91.0 96.0 98.0 99.0 100.0 97.0 95.0 100.0 104.0 105.0 75.0 75.0\n",
      " 80.0 80.0 80.0 76.0 65.0 73.0 80.0 94.0 100.0 122.0 127.0 135.0 135.0\n",
      " 140.0 124.0 118.0 101.0 95.0 95.0 95.0 95.0 86.0 70.0 65.0 0.0 245.0 243.0\n",
      " 236.0 186.0 161.0 156.0 145.0 140.0 140.0 140.0 140.0 108.0 75.0 75.0 76.0\n",
      " 87.0 90.0 80.0 80.0 80.0 100.0 96.0 95.0 94.0 91.0 89.0 88.0 85.0 85.0\n",
      " 86.0 87.0 87.0 88.0 88.0 88.0 90.0 90.0 89.0 87.0 87.0 86.0 85.0 85.0 83.0\n",
      " 81.0 80.0 79.0 77.0 74.0 73.0 73.0 72.0 71.0 70.0 72.0 74.0 75.0 75.0 76.0\n",
      " 77.0 78.0 79.0 79.0 79.0 80.0 71.0 67.0 62.0 57.0 50.0 50.0 48.0 44.0 41.0\n",
      " 38.0 35.0 29.0 24.0 22.0 20.0 29.0 30.0 32.0 35.0 35.0 32.0 25.0 24.0 22.0\n",
      " 20.0 20.0 19.0 15.0 10.0 5.0 6.0 25.0 20.0 20.0 20.0 325.0 316.0 305.0\n",
      " 300.0 290.0]\n",
      "[-- -- 35.0 48.0 110.0 145.0 132.0 100.0 95.0 100.0 99.0 93.0 90.0 75.0\n",
      " 75.0 90.0 86.0 85.0 85.0 85.0 85.0 80.0 95.0 95.0 99.0 100.0 105.0 101.0\n",
      " 95.0 95.0 95.0 87.0 79.0 75.0 85.0 91.0 110.0 109.0 106.0 106.0 105.0\n",
      " 105.0 110.0 85.0 85.0 80.0 96.0 105.0 105.0 123.0 125.0 135.0 134.0 126.0\n",
      " 125.0 126.0 127.0 128.0 130.0 137.0 145.0 148.0 150.0 142.0 140.0 140.0\n",
      " 140.0 140.0 140.0 140.0 138.0 135.0 130.0 121.0 120.0 138.0 145.0 137.0\n",
      " 134.0 127.0 125.0 125.0 129.0 145.0 115.0 106.0 105.0 104.0 103.0 95.0\n",
      " 99.0 100.0 105.0 102.0 90.0 87.0 83.0 77.0 75.0 65.0 66.0 67.0 68.0 70.0\n",
      " 70.0 73.0 77.0 80.0 86.0 100.0 82.0 75.0 75.0 77.0 80.0 100.0 58.0 50.0\n",
      " 35.0 32.0 17.0 15.0 8.0 3.0 0.0 0.0 0.0 359.0 356.0 355.0 0.0 10.0 20.0\n",
      " 65.0 71.0 80.0 80.0]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/zanemartin/anaconda/lib/python3.6/site-packages/ipykernel/__main__.py:8: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n",
      "Check the NumPy 1.11 release notes for more information.\n",
      "/Users/zanemartin/anaconda/lib/python3.6/site-packages/ipykernel/__main__.py:9: MaskedArrayFutureWarning: setting an item on a masked array which has a shared mask will not copy the mask and also change the original mask array in the future.\n",
      "Check the NumPy 1.11 release notes for more information.\n"
     ]
    }
   ],
   "source": [
    "####################################\n",
    "# Processes Yap for August 2018 #\n",
    "####################################\n",
    "\n",
    "file_list = list('/Volumes/cruiseshare/Soundings/Yap/201808.txt')\n",
    "\n",
    "yap = SkewT.Sounding(filename='/Volumes/cruiseshare/Soundings/Yap/201808.txt', fmt='PALAU', date_to_read = 0, init_plot = 0)\n",
    "\n",
    "# Reads Palau for August\n",
    "\n",
    "ntimes = 0 #number of days\n",
    "ntimes = ntimes + yap.data['temp'].shape[1]\n",
    "print(ntimes)\n",
    "\n",
    "yap_sknt = interp_all('sknt', pres, yap)\n",
    "yap_drct = interp_all('drct', pres, yap)\n",
    "\n",
    "yap_u = yap_sknt*np.cos(np.radians(270-yap_drct))\n",
    "yap_v = yap_sknt*np.sin(np.radians(270-yap_drct))\n",
    "\n",
    "yap_u850 = yap_u[np.argmin(abs(pres - 850)), :]\n",
    "yap_u200 = yap_u[np.argmin(abs(pres - 200)), :]\n",
    "\n",
    "yap_v850 = yap_v[np.argmin(abs(pres - 850)), :]\n",
    "yap_v200 = yap_v[np.argmin(abs(pres - 200)), :]\n",
    "\n",
    "yap_lat = 9.50\n",
    "yap_lon = 138.08\n",
    "\n",
    "yap_dates = yap.sounding_date[40:]\n",
    "\n",
    "yap_u850 = yap_u850[40:]\n",
    "yap_u200 = yap_u200[40:]\n",
    "\n",
    "yap_v850 = yap_v850[40:]\n",
    "yap_v200 = yap_v200[40:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x10f4c6da0>]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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H6IlUIhJ5Cnw5wsPv7OH1bdX84yWnMLUwM9rliMgJpMCXwyoa2rjrxW2cNyWXa+aNjnY5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\n+CIiHqHAFxHxiP8Pta1P2LAECrAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f1e2e10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(pres, u.mean(1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 21.83966086   8.4770096   11.23490898   4.97442954  -3.02322114\n",
      "  -4.99940997 -16.396917    -9.94911325  -5.99519658  -4.36064103\n",
      "  -5.49380066  -5.91055188  -5.55471665  -4.93209266  -3.54619901\n",
      "  -8.05337501]\n"
     ]
    }
   ],
   "source": [
    "print(yap_u850)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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j8fLyol+/fvj7+7Nx40auXr2KiCAi1KlTp8COS9OKulzfQauUKg08CzTLLI+I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\nnjxZnJ2dJTEx0dJdfEBoaKj4+vrKrFm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ZM2eOKKXkiSeeaHLsGTNmCCDp6el2yVhZWSnZ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f282198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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0SCW9j5m0a8CLxtfBQN1M9i/PEhHs7Oy4ceMG1atXt1i9RYoU4f79+7Rokerl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\nHwHkpZdekqSkJDl27JhMmjRJXFxcJD4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JAf4H2PIj7cxQSp1QSp3Q666bTllZGZ07dyYs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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f54e160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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F2rVrW6zeUqVKcefOHdq0yfTyiKZpRZC+g9ZK/vnnH1JSUixyB21qSUlJ/P77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\no9FoOgD/D74tMmjRJ7vWAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f119b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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aNHFxcZHk5GRrd/EB4eHh0rp1a5k/f745be3atdK9e3dZ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\nB6KbTdCigwFmAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f0fb978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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NGzdm+fLllrQBAwZw/Phxy2hATqpWrcrKlSuZMGECtWvXpnXr1qxZs4ZRo0ZZrY+PLC9T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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1157467f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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99NMMGDCAjRs3WrReTdOKtmxPK0WkfybpAzNIuwI8ZXodCjTNY3zFlohgb2/P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\nopRi+fLljbY7YsQIJk+eTK9evUiv3YJpIX/88Qc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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f34a198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ws7Pj6tWrNGnSxGL1VqpUiaSkJLp2zfLyiKZpZZC+g9ZK/v77bwwGg0XuoE0r\nOTmZ33//nW7dulm0Xk3TSjYd7K3k888/5+2336ZcOcv+CubOnYuXlxcdOnSwaL2appVseoljKzh2\n7BhBQUEWu6nqrqtXr/Lxxx+zc+dOjPe7aZqmGekzeytYu3YtAwYMoFKlShatd8KECTz//PM0bdrU\novVqmlby6TN7K+jUqVOenk6VGwcPHmTDhg0EBwdbtF5N00oHfWZfyBISEpg+fToJCQnmtAceeIBz\n585x4cIFi7Uzc+ZMxo8fX+AHoWiaVjrpYF/IevXqxfjx4zl58qQ5rXz58jz66KOsXZvdYqG5ZzAY\nuH37NrVq1bJIfZqmlT462Bei27dvExgYyJNPPsm4ceNYu3YtKSkpADz55JMFDvbJycksWrSIxo0b\n88svv+iLspqmZUmP2ReiqKgoXFxcWLhwIWvWrGHy5MkEBQUxefJk7ty5Q0hIVouFZi8+Pp4FCxbw\nxRdfYDAYCA8Pp1mzZjzxxBMWPgJN00oLHewLUVRUFLVq1aJKlSq89NJLdOvWDR8fH3788Udu3brF\n77//nuc6w8LC6N27N02aNGH16tXm+fQBAQFUrFjR0oegaVopoYdxClFcXBwHDhyga9eupKamUq9e\nPfbu3cuWLVuIjIzM841Px44do3Pnzrz++uv88ssvtG/fnm3btpGQkECVKlUK6Sg0TSsNdLAvRF27\nduX999/n9u3brF+/HoBmzZrRsGFDbGxs8lzfpEmTGD16NG+88YY5rXv37tja2lqsz5qmlU462Bei\nSpUqMWXKFJKTk3F0dLRIfREREYiIBXqnaVpZooN9EYiPj7fI2fcHH3zAzJkzOXv2rAV6pWlaWaKD\nfREYNWoUM2fOLFAdIsJ///tfRo8ejbe3t4V6pmlaWaGDfRHw9fXl999/L9Dwy4IFCwgJCWHatGkW\n7JmmaWWFnnpZBGbOnMlzzz2X75uegoODee+999i5c6e+GKtpWr7oM/siMG3aNNauXcu+ffvyVf77\n779n0KBBejVLTdPyLTfPoF2olIpSSh1LkzZJKXVJKRVk2vpkUdZfKXVKKRWqlLLsMo8liLe3NxMn\nTmT27Nn5Kj9w4EDWr19vXmpB0zQtr3JzZr8I8M8kfYaI+Ji2jRl3KqVsgDnAw0AzYJBSqllBOluS\n+fj4EBoamq+y7dq1w8PDg59//tnCvdI0razIMdiLyE7gWj7qbg+EishZEbkDrAAey0c9pYK3tzdn\nzpzJd/kc4Y0kAAAgAElEQVS3336bL7/8Us+x1zQtXwoyZj9aKfWvaZineib76wAX07wPN6VlSik1\nTCl1UCl18OrVqwXoVvHk4uJCYmIiN27cyFf5vn37cv36dXbv3m3hnmmaVhbkN9jPBeoDPsAV4MuC\ndkRE5omIr4j4Ojs7F7S6YkcpRf369Zk8eTJKKU6cOAHAqVOnWLVqFcePHyc5OTnL8jY2Nrz55pt8\n+umnGAyGouq2pmmlRL6CvYhEikiqiBiA7zEO2WR0Caib5r27Ka3MevDBB80XaePj4wFYvXo1b731\nFv3796dq1aqMGjUqy6Gal156ibi4OF5//XUd8DVNy5N8BXullFuat/2BY5lkOwA0VErVU0pVBAYC\n6/PTXmkxc+ZMtm/fTosWLZgyZQpRUVE0bdqUtm3bcvr0aSIiIggMDOS9997LtHxqaipKKZYtW2bR\nRxpqmlb65Wbq5XJgL9BYKRWulHoFmK6UOqqU+hd4EHjTlLe2UmojgIikAKOAP4CTwCoROV5Ix1Ei\nKKXo1KkT+/fvx2AwsHTpUpo1a2Ye0qlWrRpr1qxh3rx5mZ7d29jYcODAAcLCwvDy8iri3muaVpLl\neAetiAzKJHlBFnkvA33SvN8I3DMts6yrXLky999/Pzt37sTd3Z3w8HAMBgMhISEMHDiQ69evEx8f\nj729/T3lWrZsSXBwMPfff7+Veq9pWkmk76C1kldffZXy5cszdepUfv31V7Zv307Xrl0ZOXIkERER\n9wT6u/z8/Ni5c2e2dYeGhhITE0NkZCRBQUHZXvjVNK1sUMVx3ravr68cPHjQ2t0oMvPnz2fChAms\nXLmSbt26ZZt39+7dvPrqq5w4cSLdWjsiwtWrV0lJScHHx4ekpCTi4uJwc3PDycmJX3/9Va+WqWkl\nmFIqUER881ten9lb2ZkzZ3jnnXfYtWtXjoEeoFOnTogIe/bsSZc+a9Ys6tevz8svv8xrr73G5cuX\nWb9+PWfOnGHEiBHcf//9bNu2rZCOQtO0Yk9Eit3Wtm1bKSsuXLggtWvXzlOZmTNnyn333SdhYWEi\nIpKamio1a9YUQFq0aCFJSUn3lNm2bZu4uLjI2rVr5c6dO/L111/LBx98kG07p06dkhEjRsjFixfz\n1D9N0ywPOCgFiKv6zN7KatasSXR0dJ6WQXj++efp27cv7du3Z9myZSQkJDBmzBgAevToQXJyMpcv\nX05Xpnv37syePZsFCxbw119/MXr0aD755BM2btyYZdvvvPMOAQEBjBgxQo/7a1oJp4O9lVWuXJkK\nFSowZMgQnn76aT7//PMsg29oaCivv/463t7e/PDDD7z66qssXrwYNzc3PvzwQwCcnZ2pUqUK3t7e\nfPDBB+lWyuzWrRu7du2iXLn//dofeeQRGjduzLhx42jSpAkhISHmfTY2Nrz77rvExcXx4osvkpqa\nWkifgqZphU0H+2KgXLly/Pjjjzz66KNMmDCByMjIewLrihUr6NixI05OTgQHB7NgwQIWL15M48aN\nOXHiBLNmzWLLli28//77vPjii3Tr1o2AgAB69epFREQEALdu3aJixYo88MAD+Pv7s2jRIq5cucLi\nxYuJjY2lUaNGdOnSxTzbx87Ojjt37rB582bCwsL4/vvvi/yz0TTNMnSwLwbGjx/P8OHDee6556ha\ntSqNGzdm2bJl6fIcOnSId955h08++QQXFxd69erFkSNHiI2NpXv37rRv356ePXuilOKll14iNjaW\nP/74gwceeIC2bdty6dIlDh06RJ06dRg1ahSHDx+mbt26uLq6EhMTg4jg4eGBh4cHPXv25LvvvmPL\nli00adLEfF9AXFyclT4hTdMKSj+WsBh4//33za979OhBamoq3377LXfu3MHb25tt27axYMEClixZ\nkq5c9erVWbJkCT///DOPP/44Q4cO5b///S9nz57F3t4epRSjRo3ik08+ISkpif79+7NixQocHBwI\nDg7G0dEREeHtt99m8ODBVK9eHS8vLx577DEWLFhAv3798PX15cCBA6xevZqPPvqoqD8aTdMsRM+z\nt5KoqCgSExNxdXWlYsWK5vTIyEi2bdtGaGgo586dIyQkhBYtWvDOO+9kO08+IiKCYcOGcfHiRebO\nnYufnx8ABoOBDz74gB9++IH//Oc/DB8+PN0NWxEREXh4eBAeHk6tWrXM6UePHqVv377UrVuXf/75\nh379+vHLL7+kG+/XNK3oFHSevdWnWWa2lfapl7du3TJPlQTE2dlZWrduLU2bNhVHR0dxd3eXN998\nU+bOnSv//vtvrus1GAwydepU8fPzk7lz5wog8fHxIiJy6NAheeqpp8TZ2VmmTJkiycnJ5jLvv/++\nNGvWTK5cuZKuvsuXL8ubb74pJ06ckNDQUMt9AJqm5RkFnHpp9cCe2Vbag/2VK1fE399fvL29ZcKE\nCRIRESGHDh2SwMBASUlJkaCgIOnbt68MGTJEatasKb/99luu605JSREfHx9ZvXq19O/fX7766qt0\n+0+cOCHt2rWTb775Jl36xx9/LI0aNdJz6jWtmNLBvgQLCAiQxo0bS2pqapZ59u7dK66urjJ37txc\n17tlyxbx9vaW+fPny6BBg+7Zf+TIEXF2dpbo6Oh06ZMnTxZALly4kPuD0DStSBQ02OsBWCtq3749\nNWvWxNXVlaVLl2aap2PHjuzevZt33nkn3Rz47PTs2ZOGDRsyefJkype/9xp8q1at6N+/P19//XW6\n9OvXrwMQGBiYxyPRNK2408HeipRS7N69m99//5233nqL6OjoTPN5e3szYMAAWrZsmev1bebMmcOk\nSZNYuHBhpvsbNmxoXkr5rsjISGxsbBg6dCg//PADt2/fZseOHXk/ME3Tih09G6eYePPNN0lJSbnn\nbPsuEaFOnTr8888/1KtXr8DtTZs2jffee48aNWowdepUXn75ZVauXMn169c5evQo69evJzY2lipV\nqnDlypUCt6dpWsHoVS9LiQEDBnDgwIEs958/fx6llMWeUDVixAguXLjAli1b+Pbbb3nwwQcBGDt2\nLBs2bODSpUt89NFHtG3b1iLtaZpmXfqmqmLC09OTsLCwLPfv3r2bzp07p1vDviCqVq1K1apVcXd3\nJyAggDlz5vDf//6XO3fuUL16dXr06MGVK1do3z6zZ8lrmlbS5OYZtAuVUlFKqWNp0j5XSgUrpf5V\nSq1TSjlmUfa86Vm1QUqpsjUuk0eurq5cv36dU6dOZbo/JiYm04utlmBjY8Mbb7zB6dOn6dKlC1On\nTmXRokUcPnyYdu3aFUqbmqYVrdwM4ywC/DOkbQFaiEgr4DTwXjblHxQRn4KMNZUFNjY2zJ07ly5d\nurB379579g8ZMoTNmzdz9uzZArcVExNDQEAAmV2vGT58OG+99RZxcXEcPHiQdu3acfXqVQwGwz15\nY2NjzUsfx8XFpVthU9O04iXHYC8iO4FrGdL+FJG7/7MDAPdC6FuZ89JLL/Hf//6Xb7755p59M2fO\nxNbW1iLryv/zzz/4+flRt25dFi1alC7oDx48GD8/P9q0aUONGjWoUaMGXl5eODk50bt3byZNmsSq\nVav48ssvqV69OhUrVsTf3x83Nzd69eqlF0vTtGIqV7NxlFJewG8i0iKTfRuAlSJyz0RxpdQ54AaQ\nCnwnIvOyaWMYMAzAw8OjbXbj16XZuXPn8PPzIyQkhCpVqgCYnyV77ty5dOvX5Nf169dxcnICjMNH\nzz77LF988YX5ekBKSgr79++nUqVKtG3blu7duzN48GCcnZ3Zu3cvwcHBeHh40LBhQ3r16sXhw4fp\n1q0bkydPJiAggM2bN1ukn5qm/U+RrI0DeAHHMkmfAKzD9KWRyf46pp+1gCNA19y0V1buoM3K8OHD\nxcPDQwICAkREZPr06XLfffdZrP6rV68KIGvXrpVr165Jx44dZejQoZKSkpJp/qlTp8rIkSNzrNdg\nMEjHjh1l3rx5FuurpmlGWOsOWqXUEKAvMNjUkcy+SC6ZfkaZvhT01I5c+Pbbb3n22Wf59NNPmTp1\nKuPGjaNhw4YWq3/58uX06tWLxx9/HBsbG9asWcPZs2cZPHgwcXFxJCQkpMvv7+/P5s2bc6xXKUVY\nWBhvvvkm3333ncX6q2laweUr2Cul/IFxwKMiEp9FHnulVJW7r4GHgGOZ5dXuNWjQIGxtbVm1ahVn\nz57lp59+sljdtWvXZuvWrTz11FO4ubnRpk0bVq5cyZ07d3B2dqZJkybcuHHDnL9Vq1akpKQwfvx4\nbt26lW3dly5dYufOnYwYMcL8xCut9AgNDUUpxcSJE63dFS2PcjP1cjmwF2islApXSr0CfANUAbaY\nplV+a8pbWym10VTUBditlDoC7Ad+F5GcTw81wBhgV65cyaFDh6hXr55F15G3s7NDRPj33385d+4c\n3bp145NPPmHlypUkJibi7+/Pu+++a86vlGLPnj1cunSJJk2asHTp0kxn8tzNe/78eWxtbfHw8LBY\nnzXrGzx4sPkvzMmTJ9OqVSsr90jLk4KMARXWVtbH7HPrzp07Ehsbm+dy3bt3F1dXVzl79qyIiFy8\neFF69+4tnp6eEhMTI1FRUeYx/Yz++ecfue++++Sll17Ksv6DBw9K9erV5cSJE3num1b8BAUFmZ+9\nMH36dBER2bx5sznt9u3bVu5h2YBe4rhsiouLkyZNmoiDg4OMGDHCHLhzcvbsWalataocPnw4XXpS\nUpIAUqtWLXnssccEkJ9//jnTOm7duiUNGzaUVatWZbrfz89Pvv/++7wdkFbsGAwG6dmzpzmoX79+\nPd3+CxcumPedOnXKSr0sOwoa7PXaOCXUn3/+iaurK6GhoTg6OuLr68tzzz3HsWPZXxbx8vIiNDQU\nHx+fdOkVK1YkJSWFXbt20bhxY8C4CmZm7O3tWbp0KaNGjSIoKOiehdI6dOjA+fPn839wWpFatmwZ\nXl5elCtXDi8vL5YtW8aePXsoV64cW7du5fvvv0dEcHRMf6N83bp1uXPnDgCNGzdm9erV1ui+llsF\n+aYorE2f2eds1apV4uzsLHXr1pVBgwbJ6dOn5bPPPhMXFxeZOXNmgepOSUkRQHx8fLLN99VXX4mH\nh4cAcvToUXP6kSNHxN3dPcupnFrxsXTpUrGzszOfoQOilBJAbG1tcz1Ec/cvgOHDhxdyj8su9DBO\n2WUwGOT06dPi7e0t+/btExGRsLAwqV27tsyfP1/Onz8vr732mowcOVLCwsJEROTff/+VnTt35lh3\nUlKSXL16VUTE/LzazGzdulWcnZ3T5dm1a5fUqFFDbt26VZDD04qAp6dnukB/d6tZs2ae65oxY4YA\nUr16dTEYDIXQ27KtoMFeD+OUYEopGjZsiIiY74j18PDg2rVrDB06FC8vLxwdHbG3t6dDhw6MGDGC\nVq1a8fnnn+dYd8WKFalZsyYAr776Kh999FG6/bdv36ZPnz689NJLzJs3L90ibeHh4fj4+GBvb2/B\no9UKw4ULFzJNj4mJyXNdY8eOZe/evVy/fp3w8PCCdk2zMB3sLUxEWL16tfHPpiKSdvkDgPj4eLZv\n386ff/7JZ599xqBBg4iIiODAgQN06NAh3Rz63HBxcWHSpEkopfjxxx8BCAsL49KlS8TExHDixIl0\n+R9//HGOHDlyz7o7WvFTo0aNTNPzO222Y8eOiAh169YtSLe0QqCDvYX9/PPPPP300/z8889F0l5q\naipxcXFUq1bNnKaU4oEHHqBXr14AODk5sXTpUg4cOECtWrV49tlnc1X33ZUumzRpgre3N2A8y//9\n99/p378/nTp1okGDBnz99ddERESYA7utrS1btmzhs88+u+cvAq14iI+Pp1KlSkRHR9/zjAQ7Ozum\nTJlipZ5phUUHewtKTk7mvffeo2/fvqxdu7ZI2rxx4wZVqlTBxsYmyzweHh4MHjwYpRRRUVE0b948\n2zrj4uJQSjF06FDAGOyrV69OWFgYEydOZNasWbzyyiv83//9H6+++ioRERG4u7uzbt06cx3e3t7c\nvn37nlk/mvV9//332Nvbc+fOHfbs2cOSJUvw9PREKYWnpyfz5s1j8ODB1u6mZmkFGfAvrK2kXqBd\nvXq1dOjQQTp27Cjr1q0rkjZDQ0Olfv36uco7duxYsbOzk0WLFmWb75VXXhFA9uzZIyIi165dEwcH\nh0wvup04cUK8vb1l/fr10qpVK5k3b57s2rVLPvvsM/PFvpCQkLwfmGZx169fN/9OHnroIX0RtYRB\nz8YpPu7+R/L29pbNmzcXSZv79+8XX1/fHPPt3r1bXF1d5fDhw5KQkJBt3rZt294TpF1cXCQ8PFwS\nExPT5b19+7ZUqlRJDAaD+Pr6SteuXcXHx0eUUjJo0CDzZ6JZ17Rp08y/iyNHjli7O1o+FDTY62Ec\nCxARZs+ebX5/5swZFi1aVCRt79ixw3wTVGZmzZrFfffdx5NPPsmUKVPYsGED3t7etG7dmmHDhjF/\n/nyioqLM+Q0GA1FRUVSoUIGAgABzekpKCqdPn6ZGjRq88847JCYmAsZrBuXLl0cpxa5du9i+fTuH\nDx8mKiqKH3/8kZCQkMI7eC1H8fHxKKV49913GTx4MCKi17Qpo3SwtwARYcyYMQDmi5/vvZfdkxot\nIz4+ni+//JJx48ZlmWfGjBlUrlyZn3/+mXfeeYczZ86wefNm5s+fT6tWrfj11195/vnnzfl///13\nXFxc6NevH7a2toDx+CpVqsQLL7zA8OHDOXLkiPkC3q1bt8wPWbG1tTVf7KtZsybly5enQYMGekaO\nFd19pnFoaChLl97zfCGtLCnInwWFtZW0YZwbN27cc1NKhQoVJDU1tVDbnTFjhvTv3z/TfdeuXZOB\nAweKu7u7rFq1SmbPni2vv/76PfkSEhKkWrVqcunSJRERefDBB2Xp0qXy8MMPy2+//WbOd/36dZkx\nY4bcvn1bgoODpVatWpKQkCCnTp2SBg0aFM4Bappmhh7Gsb6qVaty6dIlXF1dUUqZlyTev39/obZ7\ndxYMGL+0Y2Ji2L9/P8uXL2fMmDFcu3aNRYsW8dRTTxEdHW2+SSqtyMhIypcvj5OTE0FBQZw+fZoB\nAwaQkJBA5cqVzfkcHR0ZO3YsdnZ2NG7cGB8fH1atWoVSipiYGAIDAwv1WDVNKxgd7C3EYDBgMBg4\ne/Yse/fuJSkpiWnTphVqm3369GH79u3ExsbSrVs3vL29GTFiBOvWraN27drMmTOHHj16cPDgQb79\n9lt69OhxTx2LFy/mmWeewdbWllmzZjFy5EgqVqx4T7DPqEmTJpw+fZqGDRsyd+5cHn74YebNy/IR\nw5qmWVtB/iworK0kDeMkJSVJUFCQNGzYUF599VXzdLbg4GCpWrWq/Pvvv4XW9oQJE+Tll1+WNm3a\nyKhRozIdNoqIiBBHR0dZv379PfvOnj0rderUkQMHDsjly5fF0dFRoqOjRUSkVatW9yyDfNf169fF\nyclJLly4YE7bsmWLtG/f3kJHpmlaRuhhHOsJDAzEz88PHx8fYmNjeffdd1FKYTAYWLhwIe7u7ri4\nuBRa+3v27GHhwoX07t2b2bNnZ/o0KycnJzw9Pe9ZIiE6OpqOHTvyn//8h7Zt2zJ69GiGDx9uvn0+\nMTExyzP7a9euUa5cOVxcXEhISCA5OZmKFSuSlJSkL8ZqWjGlg30+iQjz58/n0KFD9OrViy1btnDy\n5EmGDh2Km5sb+/fvZ9euXdSqVavQ+vDbb78RFhbGp59+es8t73dVqFCBDz/8kCVLlqRL//XXX+na\ntStjx45l1apVnDhxgkmTJhEdHc3QoUOJj4/Hzc0t0zrr169P8+bNWb9+PdOnT2fgwIH4+vpiY2Oj\nHzSuacVUbp5Bu1ApFaWUOpYmzUkptUUpFWL6WT2Lsv5KqVNKqVCl1HhLdtya4uLiWL58OcuXL+fw\n4cP8+eefBAYG8vbbb9OiRQv27t3L33//nW5xssJgZ2eHh4dHloH+roSEhHsuzv7yyy/079+fyMhI\nxowZw6JFi9i0aRPNmzfHwcGBY8eOUbVq1SzrrF+/PtHR0dStW5e1a9dib2/PsWPHzFP9NE0rXsrn\nnIVFGB8w/mOatPHANhGZagri44F30xZSStkAc4BeQDhwQCm1XkTSL5FYwiQlJdGgQQOqV6/O6NGj\nzWu/LFiwgC+++IJ+/fpZuYf3ioiIwNXV1fz+5s2b7NixgyVLlvDyyy/z8ssv4+zsTJ8+fdi4cSPt\n27cH4LvvvmP+/PmcO3eOpk2bsmPHDvNQUXBwMI0aNaJz587UqlWLqKgo/v77b1q3bm2VY9Q0LQe5\nGdgHvIBjad6fAtxMr92AU5mU8QP+SPP+PeC93LRXXC/QGgwGGTJkiADy6KOPisFgkCNHjsgnn3wi\nrq6u2T7kw1rCwsLEz89PZs2aZU5buXKl9O7dW5YtWybNmzeXhIQE6dmzp0ybNs2c5/PPP5f69evL\njh075IsvvhBAOnXqJAsXLhQRkYCAAPH19ZUmTZpI1apV9YNKNK2QURRr42QS7GPTvFZp36dJfwqY\nn+b988A32bQxDDgIHPTw8Ci8T6wAZsyYIS1btpQhQ4ZIy5Ytxc3NTby9vWXkyJHmJ0VZW2JiovTs\n2VPc3d2lWrVqYmdnJx999FG6NW169uwpy5cvl9q1a8u+fftk586d4uXlZf6ymjp1qjRo0CDdbJtb\nt27Jhg0bxM7OTpKSkkREJDU1VZYuXSqdO3c2p2maVjisHuxN769nUiZPwT7tVhzP7P/8809xdXWV\nnTt3SuXKlWXOnDkSGhpq7W7dY8aMGeLv7y9hYWFy7dq1TP/aqF+/vuzfv1/s7OzEYDDIoEGDZM6c\nOSIi8sknn0ijRo0kPDz8nnKBgYHi4OBgflxhVhISEiQmJsYyB6RpmogUPNjndzZOpFLKDcD0MyqT\nPJeAtI+rcTellTihoaE899xzrFixgkOHDpGQkMDrr79ufqBHcXL48GF69+6Nh4cH1atXT/e4QDDe\nMXvt2jUqVaqEh4cHt2/fZuPGjQwYMIDNmzczb948tm/fTp06ddKVS01NZfHixdy6dYt9+/Zl24ep\nU6fi5ubGiBEj9FRMzXIuX4ZDh6zdixIrv8F+PfCi6fWLwK+Z5DkANFRK1VNKVQQGmsqVKHFxcTz6\n6KNMmjSJBx54wPz81tTUVCv3LHODBg1i2bJlWe7fu3cvHTt25OLFi3h6evLrr7/SqVMnnJ2dadq0\nKbdu3TIvgHZXeHg4PXv2JCAggK5du+Lr65ttHzZs2MDq1avZvXs3GzZssMhxaaXMsmXg5QXlyhl/\nZvZvNjkZZs4EpYxbnTrQti3s2VPUvS0dcjr1B5YDV4BkjLNqXgFqANuAEGAr4GTKWxvYmKZsH+A0\ncAaYkNs/N4rLME5qaqr069dPhg8fbk578803s1x8rDhISUmROnXqZLlm+bhx4+Sjjz6SOXPmyLBh\nw6R3796ydOlS8/6xY8eKvb29NG7cWLp37y4PPfSQ1KpVSz7++GNJSUnJVR+cnZ3lwoULsnHjRmnU\nqJHs2bOn0BeF00qQpUtF7OyMo8h3Nzs7Y/ru3SIdO6bfd3eLjhapUMH4ugw+eAX98JLCM2HCBOnS\npYv54uOuXbvE1dVVIiIirNyz7H3zzTfSsGFDCQsLu2ffq6++KqNHj5Zx48ZJ7dq1pUWLFvfMpImL\ni5N///1XtmzZIps2bZLjx4/nqf0+ffrI2rVrxWAwyLRp06RZs2ZSp04dGTNmjJ61o4l4emYezNNu\nDz4osn+/Mf/gwca02FiRmzeNr4vxCVdh0cG+kKxcuVI8PT0lMjJSRIzLGNerVy/TNWaKoxkzZoin\np6ds3rzZvN6NiEh0dLTUq1dPunTpIh07diyUC6kff/yxjBs3Ll3aV199JYBs2LDB4u1pJUhycvZB\nPqvpy3f3i4jMnGl8ffp00fW7GNDB3sIiIiJk3bp1UrNmTfNCYHFxcdKzZ0957bXXrNav/FiyZIl0\n6dJFHBwc5LvvvjOnHzlyRJycnCQwMLBQ2t2yZYt07do1XVpsbKx89NFH8sADD0hgYGCOz8HVSpGA\nAJEuXXI+m/f0zLqOAweMeZYtM75PG/zLCB3sLWjcuHHi6OgoXbp0MZ+BXrx4Udq2bSvDhg3L9Zh1\ncbNx40a5//77ze+TkpKkXr168s8//xRKe7GxseLg4HDPtM+EhASpWrWq2NraSnH4600rJFFRIqNH\n3xvMO3US+eef7Mfss9O7t0jdusbXly8by737buEfTzGhg72F/PDDD9KgQQOJiYmRpKQkefjhh8XJ\nyUmqVq0qkyZNMi9dXBIlJiaKo6OjXLlyRQwGg3zxxRfi7+9v8XZiY2PNr5s3by6HDh26J8+FCxdk\n0qRJ8tZbb1m8fa0YaNr0fwHc3l5k7lyRO3fuzbd0qfFMXinjz5wCfWbufqHkcN9HaVHQYJ+btXFK\ntY0bNzJx4kTOnz/Pzp07cXJyYuHChSQmJnLy5EmcnZ1zXGisuKtUqRIDBw6kR48e3LhxA1tbW375\n5ZcC1ZmSksLOnTtp0qQJtWvXJiUlhTp16rB48WKeeOIJOnbsSEBAAG3atElXrm7dujg4OBAQEICI\nlPjPVstg3TqoUgVq184+3+DBxq0gZs+Gr78GZ2fj14uWvYJ8UxTWVlRn9gcPHpSaNWvK+vXrJS4u\nTkSMUxcbNWokf/31V5H0oagYDAbZsmWLBAcHW+SvlLlz50rdunWldu3acvjwYTlz5ow4ODhIrVq1\npFKlSuLg4JBuympad+7ckTZt2siCBQsK3A+tjDt+3Hh2v2aNtXtS6NBn9vlz8eJFHnvsMb777jvz\nSpXJycmMGDGCatWq0a1bN+t20MKUUvTs2dNi9YWEhDBq1Cjq16/PQw89xMCBA2nXrh1//fUXCQkJ\nXLlyBUdHx0zLVqhQgUWLFtG9e3cefvjhLNfN17QcNWsGP/wArVpZuyfFXpl8eMnNmzfp27cvY8eO\n5RZZOCoAABSNSURBVIknngDgwoULdO3alYiICDZt2lQmhhcuXLhAZGRkvsqGh4dTt25dnnrqKVat\nWsX169d54403AKhcuTL169fPdj3/tWvXUr169UyfrqVpeTJkCDRsaO1eFH8F+bOgsLbCHMZJTk6W\nhx9+WIYPHy7x8fHy4osvSufOnaVGjRoyffr0MnWnZ5MmTQSQLl26yMyZM+XatWvZ5k9ISDC/9vPz\nk507d+ar3b/++ksA2bZtW77Ka1pZhH4Gbd7MmTOHpKQkpk2bxrp16wgJCeGTTz7h0KFDvPPOO2Xm\nTPPKlSskJyczceJEdu3axdKlS6lfvz57Mll3JDQ0lM6dO2Nvb8+0adMQEcLDw3F3d89zu2vWrOHh\nhx9m0aJFpW6oTNOKtYJ8UxTWVphn9t26dZM1a9YIIIAsX7680NoqbhYvXiy9e/eWJk2aiJ2dnUyZ\nMkVEjMtAJCYmyoIFC+Shhx66p1ynTp1k6tSpcv78eWnZsqU88sgjUqlSpXRr5OfW7du3xc/PTypV\nqiTe3t7y8ssvF/i4NK0soIBn9spYR/Hi6+srBw8etHi9N27coGbNmjg7O9O+fXvGjh1L165dy8TZ\nfGRkJE2bNmXBggU0atQIT09PHBwc0uW5c+cOHh4e7N27l3r16gHG6xtubm5cvXqVypUrc+PGDZYt\nW4avr6/58YX5kZCQwPPPP4+Liwtz5swp0LFpWlmglAoUkeyXnM1GmZqNc+HCBVq1asWnn35K7969\nrd2dIjVnzhwGDBhA//79s8xTsWJFmjVrxpkzZ8zBfteuXbRr147KlSsDUK1aNV5//fUC96dy5coc\nP36cVnoWhaYViTIV7Fu2bElgYKC1u1FkUlJSsLGxQSmFl5cXq1evzrGMu7s7R48eJTExkePHj7N2\n7Vr69u1r8b4lJiYSHBzMxIkTSUlJYfLkyRZvQ9O0/ylTwb6suHLlCrNmzWLu3Lm0bNmSihUrcvjw\nYT788MNsy23bto0lS5awZMkSevbsSevWrXnttdd4+umnLd7HChUq/H975x5cVXkt8N8i4U0DDCE8\nJNyUGCh4pRhTJpULIQ0qQkKKhJZIuMOVGYoU8XoV0oDFafBOpCCXckeCyKMh0KRWEEjkkYs8VLQE\nSo2AEg2PFiISQScpJa9D1v3jHM7kqTkPcnLO+X4ze9j7e67FgrX3+fba62PdunWUlJTw1VdfuX18\ng8HQEOPsfYji4mJWrVrFjh07SElJ4cSJE3z44YcMGDCAkSNH0r9//2b7qSpPPvkkv//97wHYt28f\nEydOvKuyBgQE8NRTT7F69WouX758V+cyGAzG2fsM69evZ9myZcyfP5/PPvuM4OBgAIYOHdqq/n/8\n4x+JiIjg0KFDToVUOkNVVRVvvvkmKSkpbTKfweDPGGfvA1y5coUXXniBY8eOMWzYsFb3q6ys5OjR\no1gsFl577TV+8pOfNNlo/G5SUFBAUVERW7ZsabM5DQZ/xemYQxEZJiIf1TsqROQ/G7UZLyLl9dos\nc11kQ2Oee+455s+f38DRHz9+nMjISGbOnMm6deuoqqoCICcnh8LCQgCKioqIj48nMzOTrKwsJkyY\nQEVFRZvJnZCQwOrVqxk7dix79+5ts3kNBr/ElSD9OwcQAHwJ/Euj8vFAvqPjmY0tHOOhhx7St99+\n23598OBB7du3r2ZnZ+vTTz+tgJ48eVJv3bqlffr00QkTJqiq6s2bN7V79+76+eefq6rqwoULtUeP\nHhoTE6Pp6elNNh+5W+zevVvvv//+NpnLXzhwQBvsDXLggKclMrgK7SRdQhxwXlX/5qbxDA4wevRo\n8vPz7dcTJkzgRz/6ESkpKTzxxBM8+OCDVFRUsG3bNu655x4OHTrE8ePHiY6OJiEhgcGDBwPwu9/9\njitXrpCWlkZ+fj6vv/56m8jfv39/unTp0iZz+QOTJ0Pjz0gefdRabvBjXLlT3DmAzcCCZsrHA18D\nHwP7gPtaM555sm89FRUV2q1bNz1x4oSqqqampmrXrl113759qqp69epVBTQwMFC7dOmiw4cP18DA\nQHu6iI0bNzY7blFRkYaEhNyVDckbc+jQIR0/fvxdn8cf2L/f+iTfqVPDJ/s71+YJ33vB00/2ItIJ\nmAI098XOKWCwqo4E/hdocXskEZkrIidF5KSJu2495eXl9O7dm6ioKGpqasjNzWXNmjX20Ml+/fqR\nkpLCJ598wiuvvEJhYSHr1q3j2WefRURYtWpVs+OOHDmSadOm0adPH7Zt2+aSjP/4xz94++237zwA\nNOHmzZtNUjcYnONOxGxNTcPyO9d+9uG4oT6u3Cls/3kTgYJWtr0EBH9XO/Nk33pOnjypw4YNU1XV\n5ORknTRpkpaVlbWq75YtWzQ/P7/F+qqqKgV04cKFTsu3ceNG7d27t3bq1Mn+bqAxeXl5OnDgQL1+\n/brT8xisNN7ju7nD4J3QDnaqSgZymqsQkf7ANVVVERmNNfrnhhvmNAA3btxg1qxZzJ8/n4qKCvLz\n8/n73//e4g5RjZk9e/a31hcUFAAwatQop2V8/fXXycnJYeXKlZw/f5577723SZvhw4fzxRdf+MWG\nMQaDp3BpGUdEugMPAzvrlc0TkXm2yyTgjIgUAWuBGbY7lMENzJgxg/j4eBYuXEheXh4xMTGtdvTf\nRWZmJrNmzeK+++4jOTnZqTE+/vhjzp49S3R0NBEREZw4caLZdhkZGSxduvRbd7YytI4DB6x/durU\nsPzOte3+bfBHXPlZcLcOdyzjVFVVaVJSkl64cEFVrbssbd26VQ8ePOjy2O2FcePG6a5du1RVNTEx\nUbOystwybk1NjYaGhmphYaHTY+Tk5GhwcLBu375dVVU//fRTDQ4O1nPnztnb7N27V9PT07VPnz5t\n8iLYX5g0qfnlm0mTPC2ZwRVwcRnH4469ucMdzn7jxo3at29fHTBggN66dUvHjBmj48eP19DQULsD\n8na2bt2qvXr10p/+9KcaFBSk33zzjVvG3bZtm8bGxjrd/4svvtDevXtrUVFRg/JXX31Vo6Ki9N13\n39X4+HgFdNGiRfYblsF9NI6zLyjwtEQGV3HV2fvkrh23b99mxYoVTJs2jatXr3Lq1CksFguLFy9m\nxIgR9tzs3s6sWbM4c+YMP/vZz1i7dq3blnDOnj1LbGys0/1fffVVnnjiiSa56p966imCg4OZN2+e\n/buABx54gMTERJfkNTTlkUcaPtc//LCnJTJ4Gp909jt27CA4OJiXX36ZoKAg3nrrLcrLyxkzZgx1\ndXXUNI5L81IuXrxIZmYmVVVVJCUluW3cyMhIVq1axZEjRxzuW1lZyYYNG3jmmWea1IkIsbGxPPbY\nY8TExBAWFtamuXgMBn/G55y9qpKRkUFaWhpr164lJCSErVu3smvXLoKCgpg9ezabNm0C4MKFC5SV\nlXlYYsepq6vj+eefJyoqirKyMnbu3MmgQYOYMmUKZ86ccXn8pKQkZs6cySeffOJw32+++YavvvqK\n69evN1sfGBhIXV0dQ4YMYcmSJYwbN85VcQ0GQyvwOWe/f/9+LBYLkydPZvXq1ZSUlLBp0yZ7krDH\nH3+cK1euMHXqVMLDw/nxj39sfXnhRYgIBQUFLF26lA0bNpCXl8eCBQvIy8trkDbBFbp168Y///lP\nh/uFhIQA8NBDD7Fu3bomf7cBAQFYLBY+//xzIiIi3CKrwWD4bnzK2V+7do3U1FTS0tLo0KEDe/fu\nZf/+/SQkJNjbdOnShb/+9a9ERkYSGBjI7du3iY2N5fTp0x6U3DFEhNzcXDIyMnjvvffYuXMneXl5\nvPnmm/zqV79yyxzdu3fn1q1bDvcLDAzEYrFQXFzMmjVr2LWr4UfT4eHhnDhxgpKSkmZj7g0Gw13C\nlbe7d+twJhrn9OnTGhYWpsuWLdO6urpW96utrdX09HQdPXq0w3N6mk2bNunAgQN10qRJunz5cq2s\nrHTb2CtXrtRZs2a5NMaWLVs0MTGxQVltba2GhoZq165d9fbt2y6NbzD4E5jQS9VFixYpoNu2bXOo\nn6pqXV2dZmdn68SJEx3u68tcvXpVf/CDH+hvfvMbp8coLy/XoKCgJjH0L730kklpbDA4iKvOXrQd\nrldHRUXpyZMnW9XWYrHQsWNHAKfW3qOioigtLeWll15izpw5Dvf3Za5du0ZcXBxTp04lPT3dqXQG\nP//5z4mLi2Pu3Ln2svLyck6dOuVSeKfB4G+IyF9UNcrZ/l69Zl9ZWUnHjh259957nX7JGhcXx+TJ\nk+2Ovra2losXL7pTTK+lX79+HD58mN27dxMfH8+ePXuora1ttu2RI0eYPn06b7zxRoPy8PBwvvzy\nywZlPXv2NI7eYGhjvNrZ37hhzamWnp7u9BjV1dVs2rQJi8VCTU0N06dPJzIyssXQQX+jb9++fPDB\nBzz++OOsWLGCwYMHk5qayrlz5xq0W7NmDdevX2f79u0Nys+fP094eHhbimwwGJrBq5394sWLWbJk\nidOJuurq6uzOqWPHjvTo0YMOHTowY8YMli0z2+XeoUePHsyZM4djx45x6NAhVJXx48czZswYNm/e\nTHFxMYcPHyY5OZnq6mp7v0uXLnH48GFGjx7tQekNBgN4sbMvLi6msLCQuLg4p8eoq6sjISGBRx99\nlM6dO5Obm0tUVBQlJSVkZmYSFRVFdHQ0S5YssW/Y7e8MHz6c3/72t1y+fJnU1FT27NnD2LFjSUxM\nZPny5cyfPx+wLoclJyeTmppq4ukNhnaAVzr70tJSoqOjmTdvHjExMU6PExgYyObNm9m/fz9VVVUE\nBATwyiuv2J9O4+Pj+frrr8nIyGDkyJG8//777lLB6+nYsSNTpkxh165dlJWV8etf/5rq6mr7TfHF\nF1+kV69ePPvssx6W1GAwgBc5+z179thztRw7doyYmBief/55AgIC3DbHww8/TJcuXexfgaakpPDZ\nZ5+hqgwaNIi5c+eyYMECKisr3TanrxAREUFeXh7PPPMM77zzDllZWWRlZdGhg9f8EzMYfBp37FR1\n1/nTn/7EL3/5S0SEESNGcOrUKVasWOH2ebp160ZpaSlgzZxZ/0YyYsQIjh49SmhoKNHR0bzxxhv2\nFAwGK6NGjUJEmDJlCrt377bfNA0Gg+dp93H2u3fv5he/+AUHDhzg+vXrWCwWHnjggTZ3JJcvX+a9\n994jOTnZ/rSalZVFSEgIH374IUlJSdx///1tKlN7pKamhmvXrhEaGuppUQwGn8LVOPt27exramro\n3Lkz2dnZpKSkeFosO4sWLWLVqlUAjBs3jh/+8Ifk5uayb98+HnzwQQ9LZzAYfBFXnX27Xsa5dOkS\nAMePH2fChAl07dqVnj17elYoYOXKlbzwwgsEBgbSvXt3wJrN8fDhw8bZGwyGdomrG45fEpHTIvKR\niDTJbyBW1opIiYh8LCKRjow/dOhQzp8/zwcffMCAAQNIS0tzRVy30rNnT7ujr66u5vTp006lEzAY\nDIa2wB2hErGqOqqFnxePARG2Yy6Q2ZoBb968af8sf8iQIbz44ouEhYWRkZHhBnEdo7a2tsVUDDdu\n3GDDhg2MGTOGXr168fTTT7exdAaDwdA67nZcXCKw1Za07c9ALxEZ8F2diouL7TsuqSpr1qwhOzu7\nzZdwVJVRo0aRk5PTpC47O5shQ4Zw8OBBli5dSm5uLp06dWpT+QwGg6G1uPSCVkQuAuXAbeA1Vd3Q\nqD4feFlV37ddvwOkqmpzSz5zsT79A/wr4Pr+eu2PYMAXk+74ql7gu7oZvbyPYar6PWc7u/qC9t9U\ntVREQoD/E5FzqvquMwPZbhQbAETkpCtvndsrRi/vw1d1M3p5H829F3UEl5ZxVLXU9mcZ8BbQOONV\nKVA/4HqQrcxgMBgMbYjTzl5EuovI9+6cA4/QdOllD/DvtqicaKBcVa86La3BYDAYnMKVZZx+wFu2\ncMNA4A+qul9E5gGo6npgLzAJKAFuAf/RyrE3fHcTr8To5X34qm5GL+/DJd3a5Re0BoPBYHAvJiWh\nwWAw+AHG2RsMBoMf0ObOXkQ2i0iZiJypVzZdRM6KSJ2IRNUrDxORSls6ho9EZH1by9taWtBrpYic\ns6WKeEtEetWrS7OlkSgWkUc9I3XrcEQ3H7DZcptOH4lIgYgMrFfn7TZrVjdvt1m9uudEREUkuF6Z\nV9jMEb2ctpeqtukBjAMigTP1yoYDw4AjQFS98rD67drz0YJejwCBtvMVwArb+QigCOgMfB84DwR4\nWgc36ebtNguqd74QWO9DNmtJN6+2ma08FDgA/A0I9jabOaiXU/Zq8yd7tX509XWjsk9VtbitZXEn\nLehVoKoW2+WfsX5nANY0ErmqWq2qF7FGK7XbXbkd1M1raEGvinqX3YE7EQy+YLOWdPMamtPLxv8A\ni2mok9fYzEG9nMIb1uy/b/upclRExnpaGBd4EthnO78HuFyv7oqtzFuprxt4uc1E5L9F5DIwE1hm\nK/YJm7WgG3ixzUQkEShV1aJGVV5ts2/RC5ywV3t39leBwao6Cvgv4A8iEuRhmRxGRJYCFmC7p2Vx\nN83o5vU2U9WlqhqKVacFnpbHnbSgm9faTES6AUtoeOPyer5DL6fs1a6dve3n1w3b+V+wrrkN9axU\njiEis4F4YKbaFtzwkTQSzenmCzarx3Zgmu3cJ2xWD7tuXm6zcKzr8UUicgmrXU6JSH+822Yt6uWs\nvdq1sxeRviISYDsfgjUv/gXPStV6RGQi1vW2Kap6q17VHmCGiHQWke9j1avQEzI6S0u6+YDNIupd\nJgLnbOe+YLNmdfNmm6nqaVUNUdUwVQ3DulQTqapf4sU2+za9nLaXB94652D9GVJrU2AOMNV2Xg1c\nAw7Y2k4DzgIfAaeAhLaW10W9SrCuGX5kO9bXa78U6x25GHjM0/K7SzcfsNkOrDmePgbygHt8yGbN\n6ubtNmtUfwlb1Io32cwRvZy1l0mXYDAYDH5Au17GMRgMBoN7MM7eYDAY/ADj7A0Gg8EPMM7eYDAY\n/ADj7A0Gg8EPMM7eYDAY/ADj7A0Gg8EP+H+wHBFOuoZ+cgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115587160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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5OZl9yuQTTzzB4MGD2bJli1nb1TStZHvgaaWIDMomfWgWaVeAXsbX54DmBYyv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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1155af470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7dg1fX1+L1VuqVCnu3btH69bpXh7RNK0I0nfQWsnff/+NwWCwyB20ySUkJPD7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\nPwHk2WefFYPBIIcPH5bx48eLq6trhg/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Iy8sjIyPDHDp5++23k5CQwJdffsmrr75KUVER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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11593f2e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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nZ5ycnCw+ZbJr167069ePNWvWWLReTdMKtkxPK0WkbzrpA9NIuwQ8bXp9BmiY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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116040eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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YPn26xY7RpEkTGjVqxMqVK81l/fv3JygoyDwakBknJydWrVrFe++9R82aNWndujVr165l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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1164244a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1vWBzcXGhfPnyFp8y+dxzz9G7d282bdpk0Xo1TSvYHnlaKSK9Mkjvm07aFaCL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\ntU/EeEcuBJ5wtPy20s0FbLYDY46nz4Es4B4Xslmjujm7ze6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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11809b630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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vn+nlEU3TSiB9B62V/PXXXxgMBovcQZtaUlISv/32Gx07drRovZqmFW26s7eS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\njUajcQH+H+kWOva53x0BAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118250278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1q0Xr1TStcHvsaaWIDMwgfWg6af8Az5peXwCezGV8RZaIYGdnx40bN6hXr57F\n6i1Tpgz379+nY8cML49omlYM6TtorWTXrl0YDAaL3EGbUmJiIr/++iudO3e2aL2aphVuurO3klmz\nZvH+++9TooRl/wkWLlyIh4cHrVq1smi9mqYVbnqJYys4fvw4ISEhFrup6qEbN27w6aefEhAQgPF+\nN03TNCN9Zm8F69evp3///pQpU8ai9U6aNInXXnuN+vXrW7ReTdMKP31mbwXt2rXL1tOpsiIoKIjN\nmzcTGhpq0Xo1TSsa9Jl9HouPj2fmzJnEx8eb0zp16sTFixe5fPmyxdqZM2cOfn5+uX4QiqZpRZPu\n7PNY9+7d8fPz49SpU+a0kiVL0qdPH9avz2yx0KwzGAzExsZSrVo1i9SnaVrRozv7PBQbG0twcDAv\nvfQS48ePZ/369SQlJQHw0ksv5bqzT0xMZNmyZdStW5cNGzboi7KapmVIj9nnoevXr+Pk5MTSpUtZ\nt24dU6dOJSQkhKlTp/LgwQPOns1osdDMxcXFsWTJEr744gsMBgPh4eE0aNCAF1980cJHoGlaUaE7\n+zx0/fp1qlWrRvny5Rk2bBidO3fG29ub77//nnv37vHrr79mu86wsDB69OhBvXr1WLt2rXk+fWBg\nIKVLl7b0IWiaVkToYZw8FBMTw6FDh+jYsSPJycnUqlWL/fv3s337diIjI7N949Px48dp3749o0aN\nYsOGDbRs2ZKdO3cSHx9P+fLl8+goNE0rCnRnn4c6duzIxIkTiY2NZdOmTQA0aNCA2rVrY2Njk+36\npkyZwjvvvMO7775rTuvSpQu2trYWi1nTtKJJd/Z5qEyZMkybNo3ExEQqVapkkfoiIiIQEQtEp2la\ncaI7+3wQFxdnkbPvyZMnM2fOHC5cuGCBqDRNK050Z58PRo8ezZw5c3JVh4jw0Ucf8c477+Dl5WWh\nyDRNKy50Z58PfHx8+PXXX3M1/LJkyRLOnj3LjBkzLBiZpmnFhZ56mQ/mzJnDq6++muObnkJDQ5kw\nYQIBAQH6YqymaTmiz+zzwYwZM1i/fj0HDhzIUflvvvmGgQMH6tUsNU3Lsaw8g3apUuq6Uup4irQp\nSqmrSqkQ0/ZsBmV7KqVOK6XOKaUsu8xjIeLl5cXHH3/MvHnzclR+wIABbNq0ybzUgqZpWnZl5cx+\nGdAznfTZIuJt2rak3amUsgEWAM8ADYCBSqkGuQm2MPP29ubcuXM5KtuiRQvc3Nz46aefLByVpmnF\nxWM7exGZRSilAAAgAElEQVQJAG7moO6WwDkRuSAiD4BVwPM5qKdI8PLy4vz58zku//777/Pll1/q\nOfaapuVIbsbs31FK/W0a5qmczv4awJUU78NNaelSSvkqpYKUUkE3btzIRVgFk5OTEwkJCdy5cydH\n5Z977jlu3brFvn37LByZpmnFQU47+4WAJ+ANXAO+zG0gIrJYRHxExMfR0TG31RU4Sik8PT2ZOnUq\nSilOnjwJwOnTp1mzZg0nTpwgMTExw/I2Njb8+9//5vPPP8dgMORX2JqmFRE56uxFJFJEkkXEAHyD\nccgmratAzRTvXU1pxdZTTz1lvkgbFxcHwNq1a3nvvffo27cvFSpUYPTo0RkO1QwbNoyYmBhGjRql\nO3xN07IlR529Usolxdu+wPF0sh0CaiulaimlSgMDgE05aa+omDNnDrt376ZRo0ZMmzaN69evU79+\nfZo3b86ZM2eIiIggODiYCRMmpFs+OTkZpRT+/v4WfaShpmlFX1amXq4E9gN1lVLhSqk3gJlKqWNK\nqb+Bp4B/m/JWV0ptARCRJGA08BtwClgjIify6DgKBaUU7dq14+DBgxgMBlasWEGDBg3MQzoVK1Zk\n3bp1LF68ON2zexsbGw4dOkRYWBgeHh75HL2maYXZY++gFZGB6SQvySDvP8CzKd5vAR6ZllnclS1b\nlrZt2xIQEICrqyvh4eEYDAbOnj3LgAEDuHXrFnFxcdjb2z9SrnHjxoSGhtK2bVsrRa9pWmGk76C1\nkuHDh1OyZEmmT5/Oxo0b2b17Nx07duTtt98mIiLikY7+oTZt2hAQEJBp3efOnSM6OprIyEhCQkIy\nvfCraVrxoArivG0fHx8JCgqydhj55ttvv2XSpEmsXr2azp07Z5p33759DB8+nJMnT6Zaa0dEuHHj\nBklJSXh7e3P//n1iYmJwcXHBwcGBjRs36tUyNa0QU0oFi4hPTsvrM3srO3/+POPGjWPv3r2P7egB\n2rVrh4jw119/pUqfO3cunp6evP7667z11lv8888/bNq0ifPnzzNy5Ejatm3Lzp078+goNE0r8ESk\nwG3NmzeX4uLy5ctSvXr1bJWZM2eONGvWTMLCwkREJDk5WapWrSqANGrUSO7fv/9ImZ07d4qTk5Os\nX79eHjx4IPPnz5fJkydn2s7p06dl5MiRcuXKlWzFp2ma5QFBkot+VZ/ZW1nVqlWJiorK1jIIr732\nGs899xwtW7bE39+f+Ph4xowZA0DXrl1JTEzkn3/+SVWmS5cuzJs3jyVLlvDHH3/wzjvv8Nlnn7Fl\ny5YM2x43bhyBgYGMHDlSj/trWiGnO3srK1u2LKVKlWLo0KG8/PLLzJo1K8PO99y5c4waNQovLy++\n++47hg8fzvLly3FxceHDDz8EwNHRkfLly+Pl5cXkyZNTrZTZuXNn9u7dS4kS//fP3qtXL+rWrcv4\n8eOpV68eZ8+eNe+zsbHhgw8+ICYmhiFDhpCcnJxHn4KmaXlNd/YFQIkSJfj+++/p06cPkyZNIjIy\n8pGOddWqVbRu3RoHBwdCQ0NZsmQJy5cvp27dupw8eZK5c+eyfft2Jk6cyJAhQ+jcuTOBgYF0796d\niIgIAO7du0fp0qXp1KkTPXv2ZNmyZVy7do3ly5dz+/Zt6tSpQ4cOHcyzfezs7Hjw4AHbtm0jLCyM\nb775Jt8/G61wWLp0KUqpLG9a/tNPqioA/Pz8uHz5Mq+++ipjx46lbt26zJ8/n8GDB5vzHD58mHHj\nxvHBBx8A0L17d44ePcq7775Lly5d+P7772ndujVgXFbhgw8+YN++fXz66ac0b96cgwcPcvjwYWrU\nqMHo0aM5cuQI48aNw9nZmaCgIEQENzc3IiIi6NatG/Pnz2f79u2MGTPGfF9ATEyMVT4freB74403\nABg1apS5Qy9RokSq1w/f+/jkeEKJlgu6sy8AJk6caH7dtWtXkpOTWbRoEQ8ePMDLy4udO3eyZMkS\nfvjhh1TlKleuzA8//MBPP/3ECy+8wJtvvslHH33EhQsXsLe3RynF6NGj+eyzz7h//z59+/Zl1apV\nlCtXjtDQUCpVqoSI8P777zNo0CAqV66Mh4cHzz//PEuWLKF37974+Phw6NAh1q5dyyeffJLfH41W\nCNy/fx+APXv20LFjRytHo2UoN1d382orDrNxIiMjJSws7JGZMxEREeLv7y+ffPKJDB06VNq1aycj\nRoyQc+fOZVrftWvXpHfv3uLt7S379+8XQAAxGAwyceJEcXFxkS+//FLu3bv3SLlSpUpJZGRkqvS/\n//5b3NzcpF27dgJI7969JTk52TIHrxUpw4cPN/++pd00yyGXs3H0TVVWEBsbi4eHB1FRUYDxomr1\n6tV58OAB165do1y5cvTv3586derQrl07GjdunKV6RYSZM2eyceNGBg8ezMiRI4mLi6Ns2bIcOXKE\nzz//nD179jB27FjGjx9PyZIlEREmT57Mhg0b2LlzJ87Ozub6rl27xqxZsxg+fDilS5fWN2Vp6Xo4\nBj979uxUwzfNmjXTy3pYUG5vqrL6WXx6W1E/s7927Zr07NlTvLy8ZNKkSRIRESGHDx+W4OBgSUpK\nkpCQEHnuuedk6NChUrVqVfnll1+yXHdSUpJ4e3vL2rVrpW/fvvLVV1+l2n/y5Elp0aKFfP3116nS\nP/30U6lTp46eU69li8FgEECWLl1q7VCKPHJ5Zm/1jj29rah39g8FBgZK3bp1Mx0e2b9/vzg7O8vC\nhQuzXO/27dvFy8tLvv32Wxk4cOAj+48ePSqOjo4SFRWVKn3q1KkCyOXLl7N+EFqxtmrVKgH0EF8+\nyG1nr6deWlHLli2pWrUqzs7OrFixIt08rVu3Zt++fYwbNy7VHPjMdOvWjdq1azN16lRKlnz0GnyT\nJk3o27cv8+fPT5V+69YtAIKDg7N5JFpx9frrrwOkundDK5j0v5AVKaXYt28fv/76K++99555DD8t\nLy8v+vfvT+PGjbO8vs2CBQuYMmUKS5cuTXd/7dq1zUspPxQZGYmNjQ1vvvkm3333HbGxsezZsyf7\nB6YVG3Fxcalmk2kFl+7sC4AWLVowaNCgTKc2LlmyBAcHBzw9PbNUp6enJ8OGDUv3zB6MT72aP38+\n7u7uLFmyBBGhd+/ezJ8/n5dffpkPP/wQJycnBgwYkKNj0oouf39/PDw8zBdm9YX7wkF39gVE//79\nOXToUIb7L126hFLKYk+oGjlyJJcvX2b79u0sWrSIp556CoCxY8eyefNmrl69yieffELz5s0t0p5W\nNPj7++Pr60tYWJg57Z133sHf39+KUWlZoTv7AsLd3T3Vf6C09u3bR/v27S12q3mFChVwdXXF29ub\nwMBAXnzxRT766CMePHhA5cqVGTJkCNeuXaNly/SeJa8VV5MmTUo19AfGoZxJkyZZKSItq7LyDNql\nSqnrSqnjKdJmKaVClVJ/K6V+VkpVyqDsJdOzakOUUkV34rwFODs7c+vWLU6fPp3u/ujo6AyHZHLL\nxsaGd999lzNnztChQwemT5/OsmXLOHLkCC1atMiTNrXCKaMH3WeUrhUcWTmzXwb0TJO2HWgkIk2A\nM8CETMo/JSLekpubAYoBGxsbFi5cSIcOHdi/f/8j+4cOHcq2bdu4cOFCrtuKjo4mMDDQOPc2jREj\nRvDee+8RExNDUFAQLVq04MaNGxgMhkfy3r5927z0cUxMTKoVNrWiyc3NLVvpWsHx2M5eRAKAm2nS\nfheRh/+zAwHXPIit2Bk2bBgfffQRX3/99SP75syZg62trUXWlf/zzz9p06YNNWvWZNmyZak6/UGD\nBtGmTRuaNm1KlSpVqFKlCh4eHjg4ONCjRw+mTJnCmjVr+PLLL6lcuTKlS5emZ8+euLi40L17d71Y\nWhE3bdo07OzsUqXZ2dkxbdo0K0WkZVWWlktQSnkAv4hIo3T2bQZWi8gjE8WVUheBO0Ay8D8RWZxJ\nG76AL4Cbm1vzzMavi7KLFy/Spk0bzp49S/ny5QHMz5K9ePEi1apVy3Ubt27dwsHBATAOH/3rX//i\niy++MF8PSEpK4uDBg5QpU4bmzZvTpUsXBg0ahKOjI/v37yc0NBQ3Nzdq165N9+7dOXLkCJ07d2bq\n1KkEBgaybds2i8SpFUxLly41r3Lp7u7OtGnTGDRokJWjKvryZbkEwAM4nk76JOBnTF8a6eyvYfpZ\nDTgKdMxKe8XlDtqMjBgxQtzc3CQwMFBERGbOnCnNmjWzWP03btwQQNavXy83b96U1q1by5tvvilJ\nSUnp5p8+fbq8/fbbj63XYDBI69atZfHixRaLVSt4/Pz89CJnVkB+LJeQXmcPDAX2A3ZZrGMK8P+y\nkre4d/Yixv9Qffr0kf/85z8CyCuvvGKxuufNmyfdu3cXg8Egd+7ckfDwcOnSpYu88sorcufOHYmL\ni0uVPyQkRLy8vLJUt4uLi9jb28uiRYssFq9WsABSrlw5a4dR7OS2s8/R1EulVE9gPNBHROIyyGOv\nlCr/8DXwNHA8vbzaowYOHIitrS1r1qzhwoUL/Pjjjxaru3r16uzYsYN+/frh4uJC06ZNWb16NQ8e\nPMDR0ZF69epx584dc/4mTZqQlJSEn58f9+7dy7Tuq1evEhAQwMiRI81PvNKKjocX6jO6M1sruLIy\n9XIlxjP4ukqpcKXUG8DXQHlgu2la5SJT3upKqS2mok7APqXUUeAg8KuIbMuToyiCmjRpwurVqzl8\n+DC1atWy6NojdnZ2iAh///03Fy9epHPnznz22WesXr2ahIQEevbsaX4iFhiXdfjrr7+4evUq9erV\nY8WKFenO5HmY99KlS9ja2uoZGkXQd999B0C/fv2sHImWbbn5syCvNj2MkzUPHjyQ27dvZ7tcly5d\nxNnZWS5cuCAiIleuXJEePXqIu7u7REdHy/Xr181j+mn9+eef0qxZMxk2bFiG9QcFBUnlypXl5MmT\n2Y5NK9jQDyWxGvSql8XT3bt3adKkCa6urowaNYqLFy9mqdzFixcJCgpi69at1KpVCwBXV1c2bdpE\nWFgY9evXZ/jw4QDpnr23bduWgIAA9u3bx9q1a9Nt45133mHmzJnUr18/h0enFWSff/65tUPQckB3\n9oXU77//jrOzM+fOnaNSpUr4+Pjw6quvcvx45pdFPDw8OHfuHN7e3qnSS5cuTVJSEnv37qVu3bqA\ncRXM9Njb27NixQpGjx5NSEgI165dS7W/VatWXLp0KecHpxVIu3btAuD999+3ciRaTujOvpAyGAyc\nOHGCFi1acOnSJQIDA2nUqBHdunVj7ty5GZZTSuHo6JjuPhsbG+rUqWM+c1u8OMPbImjZsiV+fn48\n//zzVK9ePdWXzLBhw1i+fDnJyck5PDqtIHrzzTcB44mBVvjozr6Q6t+/P5GRkezcuZODBw9y69Yt\n/Pz8OHjwIDNnzmTJkiWEhYUxcuRIRo8ebV675NixY+zduzfTum1sbLh//z7bt28HyHAZhH//+98s\nXbrUPIPnoZiYGOLj40lISLDQ0WoFQdOmTVm4cKG1w9BySHf2hZhSitq1ayMi5jti3dzcuHnzJm++\n+SYeHh5UqlQJe3t7WrVqxciRI2nSpAmzZs16bN2lS5ematWqAAwfPvyRtfZjY2N59tlnGTZsGIsX\nL061SFt4eDje3t7Y29tb8Gg1a1u3bh1vvfWWtcPQckh39hYmIqxduzbDqYl5IeXyB2Bccnb37t38\n/vvv/Oc//2HgwIFERERw6NAhWrVqlWoOfVY4OTkxZcoUlFJ8//33AISFhXH16lWio6M5efJkqvwv\nvPACR48efWTdHU3TrEd39hb2008/8fLLL/PTTz/lS3vJycnExMRQsWJFc5pSik6dOtG9e3cAHBwc\nWLFiBYcOHaJatWr861//ylLdD2+gqVevnvlpRMOHD+fXX3+lb9++tGvXjieeeIL58+cTERFh7tht\nbW3Zvn07//nPfzJ9+pamaflHd/YWlJiYyIQJE3juuedYv359vrR5584dypcvj42NTYZ53NzcGDRo\nEEoprl+/TsOGDTOtMyYmBqWU+YJcvXr1qFy5MmFhYXz88cfMnTuXN954g//+978MHz6ciIgIXF1d\n+fnnn811eHl5ERsb+8isH03TrCNvnoZRTG3cuJEqVaoQFRVlXhUwr6UdwsnMv//9b44dO8b58+dp\n3759hvnee+89APN8+7p16xIaGkrNmjWZOHFiqgdMd+3aFS8vL2bPns3kyZOJjo6mfv367Nu3j6tX\nr9K3b1/Onj3LE088kYuj1DQtt3Rnb0H9+/cHjGe1ZcuWzZc2b968maXO/s8//2TVqlX8+eefqWbO\npCckJATAPEWzcuXK2Nvb888//1C1alXKlCljzuvu7k54eDjPPfccU6dOZcWKFcTExHD06FEGDhzI\nypUrzReRNU2zHj2MYwEiwrx588zvz58/z7Jly/Kl7T179phvgkrP3LlzadasGS+99BLTpk1j8+bN\neHl58eSTT+Lr68u3337L9evXzfkNBgPXr1+nVKlSBAYGmtOTkpI4c+YMVapUYdy4ceZplcnJyZQs\nWRKlFHv37mX37t0cOXKE69ev8/3333P27Nm8O3hN07JMd/YWICKMGTMGwHzxc8KEzJ7UaBlxcXF8\n+eWXjB8/PsM8s2fPpmzZsvz000+MGzeO8+fPs23bNr799luaNGnCxo0bee2118z5f/31V5ycnOjd\nuze2traA8fjKlCnD4MGDGTFiBEePHjU/mejevXvmh6zY2tqaH4BStWpVSpYsyRNPPKHP6jWtIMjN\nwjp5tRW2hdDu3LljXiDq4VaqVClJTk7O03Znz54tffv2TXffzZs3ZcCAAeLq6ipr1qyRefPmyahR\nox7JFx8fLxUrVpSrV6+KiMhTTz0lK1askGeeeUZ++eUXc75bt27J7NmzJTY2VkJDQ6VatWoSHx8v\np0+flieeeCJvDlDTNDP0QmjWV6FCBa5evYqzszNKKfOSxAcPHszTdh/OggHjl3Z0dDQHDx5k5cqV\njBkzhps3b7Js2TL69etHVFSU+SaplCIjIylZsiQODg6EhIRw5swZ+vfvT3x8fKrrDpUqVWLs2LHY\n2dlRt25dvL29WbNmDUopoqOjCQ4OztNj1TQtd3RnbyEGgwGDwcCFCxfYv38/9+/fZ8aMGXna5rPP\nPsvu3bu5ffs2nTt3xsvLi5EjR/Lzzz9TvXp1FixYQNeuXQkKCmLRokV07dr1kTqWL1/OK6+8gq2t\nLXPnzuXtt9+mdOnSj3T2adWrV48zZ85Qu3ZtFi5cyDPPPJPpWjqaplmXno2TSw8ePODUqVP079+f\n559/Hnd3d5RShIaG0rJlS44dO0bjxo3zpO3ff/+dFi1a0KVLF9q1a8euXbseechJZGQkTz/9NN9/\n/z0dO3ZMte/ixYssXryYDRs2cO3aNTZs2MC5c+cAMu3sb9++zYoVK8yzdl555RWqVKnCpEmT8PX1\nzYMj1YqNefNg4UKoWdO4ubml3mrWBNO1JC17dGefC8HBwfj6+nL48GEcHR354IMPUEphMBhYunQp\nrq6uODk55Vn7f/31F7t27cLPz4/PP//cfHE0JQcHB9zd3R9ZIiEqKorWrVszYcIEmjdvTv/+/Rkx\nYgRVqlQBICEhIcPO/ubNm5QoUQInJyfi4+MpWbIkpUuX5v79+4hIunFo2mMlJYFpogOhoY/P36ED\n6EdfZl1uBvzzaisMF2gNBoO89dZbAkj37t0lJCRENm/eLG+88YZUq1ZNOnfuLNHR0XkaQ2xsrISF\nhYnBYMg037p16+Tpp59Olfbtt99Kv379RERk1apVUr9+fYmPj5cbN27IG2+8Ia6urnLnzp0M6+zU\nqZOsXbtWpkyZIi+++KLExsZKs2bNZOHChbk/MK14mjRJ5HFPwUpOFomIEDl4UCST38+iiLy+QKuU\nWqqUuq6UOp4izUEptV0pddb0s3IGZXsqpU4rpc4ppfws9xVlXTExMaxcuZKVK1dy5MgRfv/9d4KD\ng3n//fdp1KgR+/fvZ9euXVm+szWn7OzscHNze+yZdHx8/CMXZzds2EDfvn2JjIxkzJgxLFu2jK1b\nt9KwYUPKlSvH8ePHqVChQoZ1enp6EhUVRc2aNVm/fj329vYcP36c06dPW+TYtGLINJ0XGxuoVQs6\ndYLBg+HGjf/LU6IEODlBixaQye+nlo7HfRsAHYFmwPEUaTMBP9NrP2BGOuVsgPOAJ1AaOAo0yMo3\nUEE+s09ISBBHR0epU6eOTJ482Zzetm1b2bRpkxUjy9isWbPkvffeM7+PiYmR8uXLy61bt6Rv374y\nYcIEuXDhglSpUkUOHDhgzrdo0SLx8fGRKlWqSPv27VNNJW3Tpo385z//kb1790q1atUEkD///FPu\n3buXr8emFRGXLxvP6pUy/ky5rV5t7egKBHJ5Zp+1TOCRprM/DbiYXrsAp9Mp0wb4LcX7CcCErLRX\nUDt7g8EgQ4cOFUD69OkjBoNBjh49Kp999pk4OztLYmKitUN8RFhYmLRp00bmzp1rTlu9erX06NFD\n/P39pWHDhhIfHy/dunWTGTNmmPPMmjVLPD09Zc+ePfLFF18IIO3atZOlS5eKiEhgYKD4+PhIvXr1\npEKFCrqT13KnZcvHD+EUc9bq7G+neK1Svk+R3g/4NsX714CvM2nDFwgCgtzc3PLuE8uF2bNnS+PG\njWXo0KHSuHFjcXFxES8vL3n77bdTnRFbU0JCgnTr1k1cXV2lYsWKYmdnJ5988okkJCSY83Tr1k1W\nrlwp1atXlwMHDkhAQIB4eHiYv6ymT58uTzzxhFy+fNlc5t69e7J582axs7OT+/fvi4hIcnKyrFix\nQtq3b29O07QcARFfX2tHUaBZvbM3vb+VTplsdfYpt4J4Zv/777+Ls7OzBAQESNmyZWXBggVy7tw5\na4f1iNmzZ0vPnj0lLCxMbt68me5fG56ennLw4EGxs7MTg8EgAwcOlAULFoiIyGeffSZ16tSR8PDw\nR8oFBwdLuXLl5MaNG5nGEB8fn+cXp7UiZNMmY1cUF2ftSAq03Hb2Ob2pKlIp5QJg+nk9nTxXgZop\n3rua0gqdc+fO8eqrr7Jq1SoOHz5MfHw8o0aNMj/QoyA5cuQIPXr0wM3NjcqVK6d6XCAY593fvHmT\nMmXK4ObmRmxsLFu2bKF///5s27aNxYsXs3v3bmrUqJGqXHJyMsuXL+fevXscOHAg0ximT5+Oi4sL\nI0eOfPhFr2kZ69PH+DOfVootrnLa2W8ChpheDwE2ppPnEFBbKVVLKVUaGGAqV6jExMTQp08fpkyZ\nQqdOnczPb01OTrZyZOkbOHAg/v7+Ge7fv38/rVu35sqVK7i7u7Nx40batWuHo6Mj9evX5969e+YF\n0B4KDw+nW7duBAYG0rFjR3x8fDKNYfPmzaxdu5Z9+/axefNmixyXVsT4+4OHBzycSTZ6tFXDKQ6y\nMvVyJbAfqKuUCldKvQFMB7orpc4C3UzvUUpVV0ptARCRJGA08BtwClgjIify5jDyhsFg4NVXX6Vj\nx46MHDkSgJdffpm+fftm+mQoa+revTvXrl3j77//Tnf//v37adOmDWFhYbi7u/PDDz+YV+p0d3dn\n8ODB1KxZk3r16tG1a1d69OhB8+bN6dq1K3/99Rd79ux57I1iV65coWnTpsycOZNx48axf/9+8yMO\nNQ1/f/D1hbCw/0tbutSYruUZVRD/zPbx8ZGgoCBrh8HkyZMJCAhgx44dlC5dmn379tG/f39CQkLy\n9M7Y3FqwYAFz585lx44duLm5pdrn6+uLra0tZcuWZcWKFTg4OBAYGIi9vb05z927d7l06RKRkZEk\nJSXh5uZGgwYNstx+r169ePPNN3nhhReYNWsWy5cv586dO/Tr149p06alaksrhjw8Unf0D7m7w6VL\n+R1NoaGUChaRzP+szkxuBvzzaisIF2hXr14t7u7uEhkZKSLGZYxr1apVYOfSpzV79mxxd3eXbdu2\nSVRUlDk9KipKatWqJR06dJDWrVvnyYXUTz/9VMaPH58q7auvvhJANm/ebPH2tEImvbn0D+fYaxki\nP2bj5Pdmzc4+IiJCfv75Z6lataocOXJERIw3IXXr1k3eeustq8WVEz/88IN06NBBypUrJ//73//M\n6UePHhUHBwcJDg7Ok3a3b98uHTt2TJV2+/Zt+eSTT6RTp04SHBwsy5Yty5O2tULA3T39zt7d3dqR\nFWi6s7eg8ePHS6VKlaRDhw7mM9ArV65I8+bNxdfXV5KSkqwSV25t2bJF2rZta35///59qVWrlvz5\n55950t7t27elXLlyj0z7jI+PlwoVKoitra0UhL/eNCtZsULEzi51R29nZ0zXMpTbzl6vZ2+ybNky\n1q9fz/nz59mxYwf//e9/qVKlCg0bNqR3794sWrSowF6UfZwuXbpw8uRJIiIiEBHmz59P3bp1adu2\nrUXbebiyZsWKFXF3d+fYsWOp9tva2nL8+HH8/Pzo1KmTRdvWCpFBg2DYsP977+4Oixcb07U8U+yX\nON6yZQsff/wxly5dIiAgAAcHB5YuXUpCQgKnTp3C0dGx0C/ZW6ZMGQYMGEDXrl25c+cOtra2bNiw\nIVd1JiUlERAQQL169ahevTpJSUnUqFGD5cuX8+KLL9K6dWsCAwNp2rRpqnI1a9akXLlyBAYGIqKX\nQy62Fiww/pSCN0GkyMrNnwV5teXXn/hBQUFStWpV2bRpk8TExIiISFJSktSpU0f++OOPfIkhvxgM\nBtm+fbuEhoY+dknkrFi4cKHUrFlTqlevLkeOHJHz589LuXLlpFq1alKmTBkpV66cjBgxIt2yDx48\nkKZNm8qSJUtyHYdWCMXFGYduUjzjWHs8cjmMU2zP7K9cucLzzz/P//73P3r37g1AYmIiI0eOpGLF\ninTu3Nm6AVqYUopu3bpZrL6zZ88yevRoPD09efrppxkwYAAtWrTgjz/+ID4+nmvXrlGpUqV0y5Yq\nVTsz0GYAABWiSURBVIply5bRpUsXnnnmGVxcXCwWl1YIvPuu8WevXtaNo5gplmP2d+/e5bnnnmPs\n2LG8+OKLAFy+fJmOHTsSERHB1q1bi8XwwuXLl4mMjMxR2fDwcGrWrEm/fv1Ys2YNt27d4l3Tf+Ky\nZcvi6emZ6Xr+69evp3Llyo88RlErBr79Ftq0sXYUxU9u/izIqy0vh3ESExPlmWeekREjRkhcXJwM\nGTJE2rdvL1WqVJGZM2emWrO9qKtXr54A0qFDB5kzZ47cvHkz0/zx8fHm123atJGAgIActfvHH38I\nIDt37sxRea0QO3HCOISTzkJ7WubQs3GyZ8GCBdy/f58ZM2bw888/c/bsWT777DMOHz7MuHHjis2Z\n5rVr10hMTOTjjz9m7969rFixAk9PT/76669H8p47d4727dtjb2/PjBkzEBHCw8NxdXXNdrvr1q3j\nmWeeYdmyZUVuqEzLgmefNf5Ms9Celg9y802RV1tentl37txZ1q1bJ4AAsnLlyjxrq6BZvny59OjR\nQ+rVqyd2dnYybdo0ERHZu3evJCQkyJIlSx55Vq2ISLt27WT69Oly6dIlady4sfTq1UvKlCmTao38\nrIqNjZU2bdpImTJlxMvLS15//fVcH5dWSBgMxrP6jz6ydiSFErk8sy9Wa+PcuXOHqlWr4ujoSMuW\nLRk7diwdO3YsFmfzkZGR1K9fnyVLllCnTh3c3d0pV65cqjwPHjzAzc2N/fv3U6tWLcB4fcPFxYUb\nN25QtmxZ7ty5g7+/Pz4+PrRs2TLH8cTHx/Paa6/h5OTEgofT8LSibcMG6NsXkpKMz5nVsiW3a+MU\nq9k4ly9fpkmTJnz++ef06NHD2uHkqwULFtC/f3/69u2bYZ7SpUvToEEDzp8/b+7s9+7dS4sWLShr\nWmu8YsWKjBo1KtfxlC1blhMnTtCkSZNc16Vl3717cOYMNGuWj422bw+7dumO3kqKVWffuHFjgoOD\nrR1GvklKSsLGxgal1P9v79yjqizTBf57uXgPdYnXxCEJTWc0Q8bF6FEkMM1QMrUk8SxPruUYo1Yn\nlRDTNVhDjuQxz0qMUgfRgak0FfN2vFbqiJcytKRAnVEyCXThjduW5/yxtzsUKNh7szd77/e31rf2\n973fe3keH3y+vZ/3/Z4Xf39/Pvroo19t0717d3JycigrK+PMmTNs2rSJyMhIm8tWVlbG2bNnWbRo\nEQaDgcTERJuPoambBx4wftr1h72vL+h5GofhVs7eXbh8+TLvvPMOKSkp9OvXj2bNmvHll1/y+uuv\n/2K7vXv3kp6eTnp6OhERETz66KPMmDGDZ5991uYyent7s3LlSvLy8vjpp59s3r+mbt580/h5/rxj\n5dDYF+3sXYjc3FySk5PZuHEjMTExHDt2jCNHjtC1a1f69+9Ply5dam0nIrzwwgv87W9/A2DHjh2M\nGjWqUWX19PTkxRdfZNmyZVy8eLFRx9L8zNWrsGABvPCCMa28xn3Qzt5FWLVqFQsXLiQ2NpbvvvsO\nX19fAHr16lWv9v/4xz8IDAxk3759Fi2ptISysjI+/vhjYmJi7DKeBjp0MH6+955j5dDYH+3sXYBL\nly6xYMECDh06RO/evevdrrS0lIMHD2IwGHjvvfd4/PHHa2w03pjs3r2bU6dOsXbtWruN6c6kpPx8\n7u1t/Bw5EpKT4Xe/c4xMGvth8ZpDpVRvpdRX1Y7rSqmX76szXClVUq3OQutF1tzPq6++Smxs7D2O\n/ujRowQFBTF58mRWrlxJWVkZABkZGWRnZwNw6tQpIiMjSUlJIS0tjYiICK5fv243uceMGcOyZcsY\nOnQo27dvt9u47sitWxAba0xHIwKffQYDB8KuXdCvH9y44WgJNY2ONYv07x6AJ/Aj8Jv7yocD2xra\nn97YomEMHjxYPv30U/P1nj17pGPHjpKeni6zZs0SQI4fPy63b9+WDh06SEREhIiI3Lx5U1q3bi3f\nf/+9iIjMnj1b2rRpI6GhoZKYmFhj85HGYsuWLdKvXz+7jOWueHkZ32eyQcJTjYOgiaRLCAfyRaSW\nXYQ1jc2gQYPYtm2b+ToiIoLf//73xMTE8PzzzzNw4ECuX7/O+vXrefDBB9m3bx9Hjx4lJCSEMWPG\nmDclf+edd7h06RLx8fFs27aN999/3y7yd+nShRYtWthlLHdhwwbjBKyHB3TsaHyP6cgRcIP8fpo6\nsFXMfhKQUce9wUqpr4ECYI6InLHRmBqMb7impqZy8OBBAF577TVatmzJrFmzAPD39+fEiRM88cQT\neHl58dBDD+Hh4UFISAgAL7/8Ms2aNTP317ZtW0aOHEnXrl0ZMWIEzz333C9mr7QFt27donXr1o06\nhjuxYQNMnw63bxuvi4qMTj4/H0xm17ghVn+zV0o1A8YCtb2xcxLoISL9gf8F6tweSSk1XSl1XCl1\nXK+7rj8lJSW0b9+e4OBgKioqyMzMZPny5ealk507dyYmJoZvvvmGt99+m+zsbFauXMkrr7yCUork\n5ORa++3fvz/jx4+nQ4cOrF+/3ioZb9y4waeffno3tFeDmzdv1kjdoLGchISfHf1dRIzlGjfGmhiQ\n6T9vFLC7nnUvAL6/Vk/H7OvP8ePHpXfv3iIiEh0dLaNHj5bCwsJ6tV27dq1s+4XdgsrKygSQ2bNn\nWyzfBx98IO3bt5dmzZqZ5wbuJysrS7p16yZFRUUWj6P5GaXknr287x5KOVoyjTXQBHaqiqaOEI5S\nqgtwRUREKTUI4y+JYhuMqQGKi4uZMmUKsbGxXL9+nW3btvHvf/+7zh2i7mfq1Km/eH/37t0ADBgw\nwGIZ33//fTIyMli6dCn5+fk8/PDDNer06dOHH374wS02jLEHPXrAv2qZPTNNzWjcFKvCOEqp1sAI\nYFO1shlKqRmmywnAaaXUKWAFMMn0hNLYgEmTJhEZGcns2bPJysoiNDS03o7+10hJSWHKlCn89re/\nJTo62qI+vv76a86cOUNISAiBgYEcO3as1npJSUkkJCQ0+tyAu/DmmzUnYlu1+jlNgsZNseZnQWMd\ntgjjlJWVyYQJE+TcuXMiYtxlad26dbJnzx6r+24qDBs2TDZv3iwiIlFRUZKWlmaTfisqKsTPz0+y\ns7Mt7iMjI0N8fX1lw4YNIiLy7bffiq+vr5w9e9ZcZ/v27ZKYmCgdOnSQ4uJiq+XWGDl82Bi28fU1\nhm5+8xuR9esdLZXGWrAyjONwx17bYQtn/8EHH0jHjh2la9eucvv2bRkyZIgMHz5c/Pz8zA7I2Vm3\nbp20a9dOnn76afHx8ZFr167ZpN/169dLWFiYxe1/+OEHad++vZw6deqe8nfffVeCg4Pls88+k8jI\nSAFk7ty55geWxnru7g/i7e1oSTS2xlpn75K7dty5c4clS5Ywfvx4Ll++zMmTJzEYDMybN4++ffua\nc7M7O1OmTOH06dM8++yzrFixwmYhnDNnzhAWFmZx+3fffZfnn3++Rq76F198EV9fX2bMmGF+L+Cx\nxx4jKirKKnk1P3M3G/W1a46VQ9P0cElnv3HjRnx9fXnrrbfw8fHhk08+oaSkhCFDhlBVVUVFRYWj\nRbQJ58+fJyUlhbKyMiZMmGCzfoOCgkhOTubAgQMNbltaWkpqaiovvfRSjXtKKcLCwnjyyScJDQ3F\n39/frrl4XJ3Tp2H7dmOSM/3aguZ+XM7ZiwhJSUnEx8ezYsUKOnXqxLp169i8eTM+Pj5MnTqV1atX\nA3Du3DkKCwsdLHHDqaqqYs6cOQQHB1NYWMimTZvo3r07Y8eO5fTp01b3P2HCBCZPnsw333zT4LbX\nrl3jp59+oqioqNb7Xl5eVFVV0bNnT+bPn8+wYcOsFVdjol8/4+f06Y6VQ9M0cTlnv3PnTgwGA089\n9RTLli0jLy+P1atXm5OEPfPMM1y6dIlx48YREBDAH/7wB+PkhROhlGL37t0kJCSQmppKVlYWM2fO\nJCsr6560CdbQqlUrbt261eB2nTp1AmDw4MGsXLmyxr+tp6cnBoOB77//nsDAQJvIqoG7q2ivXnWo\nGJomjEs5+ytXrhAXF0d8fDweHh5s376dnTt3MmbMGHOdFi1a8OWXXxIUFISXlxd37twhLCyMnJwc\nB0reMJRSZGZmkpSUxOeff86mTZvIysri448/5rXXXrPJGK1bt+b2/a9h1gMvLy8MBgO5ubksX76c\nzZvvfWk6ICCAY8eOkZeXV+uae03DOX8e0tLgL3+B9u0dLY2myWLN7G5jHZasxsnJyRF/f39ZuHCh\nVDUgtV9lZaUkJibKoEGDGjymo1m9erV069ZNRo8eLYsXL5bS0lKb9b106VKZMmWKVX2sXbtWoqKi\n7imrrKwUPz8/admypdy5c8eq/jVG7r4hq3Ft0EsvRebOnSuArLdgMXFVVZWkp6fLqFGjGtzWlbl8\n+bI88sgj8uc//9niPkpKSsTHx6fGGvo33nhDpzS2ISdOiNy44WgpNI2Ntc5eSROMVwcHB8vx48fr\nVddgMOBt2nbHEl2Cg4MpKCjgjTfeYNq0aQ1u78pcuXKF8PBwxo0bR2JiokXpDJ577jnCw8OZXm3W\nsKSkhJMnT1q1vFOjcTeUUidEJNjS9k4dsy8tLcXb25uHH37Y4knW8PBwnnrqKbOjr6ys5Pz587YU\n02np3Lkz+/fvZ8uWLURGRrJ161YqKytrrXvgwAEmTpzIhx9+eE95QEAAP/744z1lbdu21Y5eo7Ez\nTu3si4uNOdUSExMt7qO8vJzVq1djMBioqKhg4sSJBAUF1bl00N3o2LEjhw8f5plnnmHJkiX06NGD\nuLg4zp49e0+95cuXU1RUxIYNG+4pz8/PJyAgwJ4iazSaWnBqZz9v3jzmz59vcaKuqqoqs3Py9vam\nTZs2eHh4MGnSJBYu1Nvl3qVNmzZMmzaNQ4cOsW/fPkSE4cOHM2TIENasWUNubi779+8nOjqa8vJy\nc7sLFy6wf/9+Bg0a5EDpNRoNOLGzz83NJTs7m/DwcIv7qKqqYsyYMYwcOZLmzZuTmZlJcHAweXl5\npKSkEBwcTEhICPPnzzdv2O3u9OnTh7/+9a9cvHiRuLg4tm7dytChQ4mKimLx4sXExsYCxnBYdHQ0\ncXFxej29RtMEcEpnX1BQQEhICDNmzCA0NNTifry8vFizZg07d+6krKwMT09P3n77bfO308jISK5e\nvUpSUhL9+/fniy++sJUKTo+3tzdjx45l8+bNFBYW8vrrr1NeXm5+KC5atIh27drxyiuvOFhSjUYD\nTuTst27das7VcujQIUJDQ5kzZw6enp42G2PEiBG0aNHC/BZoTEwM3333HSJC9+7dmT59OjNnzqS0\ntNRmY7oKgYGBZGVl8dJLL7F3717S0tJIS0vDw8Np/sQ0GpfGVhuONyofffQRf/rTn1BK0bdvX06e\nPMmSJUtsPk6rVq0oKCgAjJkzqz9I+vbty8GDB/Hz8yMkJIQPP/zQnIJBY2TAgAEopRg7dixbtmwx\nPzQ1Go3jafLr7Lds2cIf//hHdu3aRVFREQaDgccee8zujuTixYt8/vnnREdHm7+tpqWl0alTJ44c\nOcKECRPodzcTlRtTUVHBlStX8PPzc7QoGo1LYe06+ybt7CsqKmjevDnp6enExMQ4Wiwzc+fOJTk5\nGYBhw4bx6KOPkpmZyY4dOxg4cKCDpdNoNK6Itc6+SYdxLly4AMDRo0eJiIigZcuWtG3b1rFCAUuX\nLmXBggV4eXnR2pQ43NPTk/3792tnr9FomiTWbjh+QSmVo5T6SilVI7+BMrJCKZWnlPpaKRXUkP57\n9epFfn4+hw8fpmvXrsTHx1sjrk1p27at2dGXl5eTk5NjUToBjUajsQe2WCoRJiID6vh58SQQaDqm\nAyn16fDmzZvm1/J79uzJokWL8Pf3JykpyQbiNozKyso6UzEUFxeTmprKkCFDaNeuHbNmzbKzdBqN\nRlM/GntdXBSwzpS07Z9AO6VU119rlJuba95xSURYvnw56enpdg/hiAgDBgwgIyOjxr309HR69uzJ\nnj17SEhIIDMzk2bNmtlVPo1Go6kvVk3QKqXOAyXAHeA9EUm97/424C0R+cJ0vReIE5HaQj7TMX77\nB/gdYP3+ek0PX8AVk+64ql7gurppvZyP3iLygKWNrZ2g/Q8RKVBKdQL+Tyl1VkQ+s6Qj04MiFUAp\nddyaWeemitbL+XBV3bRezkdt86INwaowjogUmD4LgU+A+zNeFQDVF1x3N5VpNBqNxo5Y7OyVUq2V\nUg/cPQeeoGboZSvwn6ZVOSFAiYhctlhajUaj0ViENWGczsAnpuWGXsDfRWSnUmoGgIisArYDo4E8\n4DbwX/XsO/XXqzglWi/nw1V103o5H1bp1iTfoNVoNBqNbdEpCTUajcYN0M5eo9Fo3AC7O3ul1Bql\nVKFS6nS1solKqTNKqSqlVHC1cn+lVKkpHcNXSqlV9pa3vtSh11Kl1FlTqohPlFLtqt2LN6WRyFVK\njXSM1PWjIbq5gM0Wm3T6Sim1WynVrdo9Z7dZrbo5u82q3XtVKSVKKd9qZU5hs4boZbG9RMSuBzAM\nCAJOVyvrA/QGDgDB1cr9q9drykcdej0BeJnOlwBLTOd9gVNAc+AhIB/wdLQONtLN2W3mU+18NrDK\nhWxWl25ObTNTuR+wC/gX4OtsNmugXhbZy+7f7MX40tXV+8q+FZFce8tiS+rQa7eIGEyX/8T4ngEY\n00hkiki5iJzHuFqpye7K3UDdnIY69Lpe7bI1cHcFgyvYrC7dnIba9DLxP8A87tXJaWzWQL0swhli\n9g+ZfqocVEoNdbQwVvACsMN0/iBwsdq9S6YyZ6W6buDkNlNKvamUughMBhaail3CZnXoBk5sM6VU\nFFAgIqfuu+XUNvsFvcACezV1Z38Z6CEiA4D/Bv6ulPJxsEwNRimVABiADY6WxdbUopvT20xEEkTE\nD6NOMx0tjy2pQzentZlSqhUwn3sfXE7Pr+hlkb2atLM3/fwqNp2fwBhz6+VYqRqGUmoqEAlMFlPA\nDRdJI1Gbbq5gs2psAMabzl3CZtUw6+bkNgvAGI8/pZS6gNEuJ5VSXXBum9Wpl6X2atLOXinVUSnl\naTrviTEv/jnHSlV/lFKjMMbbxorI7Wq3tgKTlFLNlVIPYdQr2xEyWkpdurmAzQKrXUYBZ03nrmCz\nWnVzZpuJSI6IdBIRfxHxxxiqCRKRH3Fim/2SXhbbywGzzhkYf4ZUmhSYBowznZcDV4BdprrjgTPA\nV8BJYIy95bVSrzyMMcOvTMeqavUTMD6Rc4EnHS2/rXRzAZttxJjj6WsgC3jQhWxWq27ObrP77l/A\ntGrFmWzWEL0stZdOl6DRaDRuQJMO42g0Go3GNmhnr9FoNG6AdvYajUbjBmhnr9FoNG6AdvYajUbj\nBmhnr9FoNG6AdvYajUbjBvw/9wXUOYBx3jsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1183feb70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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v3mzWejVNK94eelopIkOySB+eSdo14Anj6wtA83zGV2KJCDY2Nty8eRMvLy+z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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1185b74a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6UmqD6a0TsEMpdRDYA6wXkU2WC71wc3R0xMHBweJTJp999ln69u3Lxo0bLdqu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\nL77Iv//9b+7fv0/lypXp378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Tr8emFUHx8SJg3ERELl8W8fP7/zQQ2bzZujFaAbkcs89a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\nEDAN3e2MAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11876b390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.close('all')\n",
    "for i in range(len(yap_dates)):\n",
    "    if i <=3:\n",
    "        tom_lon = start_lon[0:9:2][i]\n",
    "        tom_lat = start_lat[0:9:2][i]\n",
    "        tpl_u850 = tom_u850[0:9:2][i]\n",
    "        tpl_v850 = tom_v850[0:9:2][i]\n",
    "    else:\n",
    "        tom_lon = start_lon[8::4][i-4]\n",
    "        tom_lat = start_lat[8::4][i-4]\n",
    "        tpl_u850 = tom_u850[8::4][i-4]\n",
    "        tpl_v850 = tom_v850[8::4][i-4]\n",
    "\n",
    "    fig = figure()\n",
    "    m.scatter(tom_lon,tom_lat, color='k', label='RVTGT')\n",
    "    m.scatter(yap_lon,yap_lat, color='r', label='Yap')\n",
    "    m.scatter(pal_lon,pal_lat, color='b', label='Palau')\n",
    "    m.barbs(tom_lon, tom_lat, tpl_u850, tpl_v850, pivot = 'middle', color='k')\n",
    "    m.barbs(yap_lon, yap_lat, yap_u850[i], yap_v850[i] , pivot = 'middle', color='r')\n",
    "    m.barbs(pal_lon, pal_lat, pal_u850[0::2][i], pal_v850[0::2][i] , pivot = 'middle', color='b')\n",
    "    m.drawcoastlines()\n",
    "    plt.legend()\n",
    "    plt.title(str(yap_dates[i]))\n",
    "    fig.savefig('./images/test' + str(i) + '.png',dpi=100)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'tom_dates' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-10-c4064376c38e>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mtom_dates\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mwhere\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mtom_dates\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0myap_dates\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m: name 'tom_dates' is not defined"
     ]
    }
   ],
   "source": [
    "tom_dates[np.where(tom_dates == yap_dates)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "len(yap_dates)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "tom_dates[1]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "datetime.datetime(tom_dates[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "datetime.date(tom_dates[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "first line\n",
      "second line\n"
     ]
    }
   ],
   "source": [
    "count = 0\n",
    "while count == 0:\n",
    "    print('first line')\n",
    "    count = 1\n",
    "    print('second line')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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