License

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

MLP Starter Kit for Kaggle Digit Recognizer

Imports and inits



In [1]:

    
# imports
import h2o 
from h2o.estimators.deeplearning import H2ODeepLearningEstimator
from h2o.grid.grid_search import H2OGridSearch



In [2]:

    
# display matplotlib graphics in notebook
%matplotlib inline



In [3]:

    
# start and connect to h2o server
h2o.init()









    



Checking whether there is an H2O instance running at http://localhost:54321..... not found.
Attempting to start a local H2O server...
  Java Version: java version "1.8.0_112"; Java(TM) SE Runtime Environment (build 1.8.0_112-b16); Java HotSpot(TM) 64-Bit Server VM (build 25.112-b16, mixed mode)
  Starting server from /Users/phall/anaconda/lib/python3.5/site-packages/h2o/backend/bin/h2o.jar
  Ice root: /var/folders/tc/0ss1l73113j3wdyjsxmy1j2r0000gn/T/tmptx61xb53
  JVM stdout: /var/folders/tc/0ss1l73113j3wdyjsxmy1j2r0000gn/T/tmptx61xb53/h2o_phall_started_from_python.out
  JVM stderr: /var/folders/tc/0ss1l73113j3wdyjsxmy1j2r0000gn/T/tmptx61xb53/h2o_phall_started_from_python.err
  Server is running at http://127.0.0.1:54321
Connecting to H2O server at http://127.0.0.1:54321... successful.






    




H2O cluster uptime:
01 secs
H2O cluster timezone:
America/New_York
H2O data parsing timezone:
UTC
H2O cluster version:
3.18.0.11
H2O cluster version age:
7 days, 15 hours and 45 minutes 
H2O cluster name:
H2O_from_python_phall_2bf4zp
H2O cluster total nodes:
1
H2O cluster free memory:
3.556 Gb
H2O cluster total cores:
8
H2O cluster allowed cores:
8
H2O cluster status:
accepting new members, healthy
H2O connection url:
http://127.0.0.1:54321
H2O connection proxy:
None
H2O internal security:
False
H2O API Extensions:
XGBoost, Algos, AutoML, Core V3, Core V4
Python version:
3.5.2 final

Import data



In [4]:

    
# load clean data
path = '../data/'



In [5]:

    
# define input variable measurement levels 
# strings automatically parsed as enums (nominal)
# numbers automatically parsed as numeric
col_types = {'label': 'enum'}



In [6]:

    
train = h2o.import_file(path=path + 'train.csv', col_types=col_types) # multi-threaded import
test = h2o.import_file(path=path + 'test.csv')









    



Parse progress: |█████████████████████████████████████████████████████████| 100%
Parse progress: |█████████████████████████████████████████████████████████| 100%



In [7]:

    
train.describe()









    



Rows:60000
Cols:785








    






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mins   0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0      0.0      0.0               0.0                 0.0               0.0                0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0                  0.0                  0.0                 0.0                 0.0                0.0              0.0                0.0                0.0                0.0                0.0                0.0              0.0                0.0              0.0                0.0                0.0                 0.0                 0.0                 0.0                 0.0      0.0      0.0      0.0      0.0      0.0      0.0                  0.0                0.0               0.0                 0.0             0.0              0.0               0.0               0.0             0.0               0.0               0.0               0.0               0.0 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0.0               0.0               0.0               0.0              0.0               0.0               0.0              0.0               0.0               0.0                 0.0                 0.0                0.0               0.0               0.0               0.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0                0.0                 0.0                 0.0                0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0             0.0               0.0               0.0               0.0               0.0               0.0               0.0     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              0.0               0.0              0.0              0.0               0.0               0.0              0.0              0.0              0.0                0.0                 0.0                  0.0               0.0                0.0               0.0               0.0               0.0              0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0              0.0                0.0                 0.0                  0.0              0.0                0.0                0.0               0.0               0.0               0.0               0.0              0.0               0.0              0.0               0.0               0.0               0.0               0.0              0.0           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  0.0               0.0               0.0               0.0             0.0               0.0               0.0             0.0               0.0               0.0                0.0                  0.0                  0.0               0.0                0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0                0.0                  0.0                  0.0                0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0               0.0              0.0              0.0              0.0               0.0                0.0                 0.0               0.0       0.0       0.0                0.0               0.0               0.0               0.0               0.0               0.0              0.0              0.0              0.0               0.0               0.0               0.0               0.0              0.0              0.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0                 0.0                 0.0       0.0       0.0       0.0               0.0              0.0               0.0              0.0               0.0              0.0               0.0               0.0              0.0              0.0              0.0              0.0               0.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0                0.0                0.0                 0.0                  0.0       0.0       0.0       0.0                  0.0                 0.0                0.0              0.0               0.0               0.0              0.0              0.0               0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0              0.0               0.0               0.0               0.0               0.0                0.0                 0.0                  0.0                  0.0       0.0       0.0       0.0       0.0                  0.0              0.0                0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0                0.0                 0.0                  0.0                  0.0       0.0       0.0       0.0       0.0       0.0       0.0                 0.0                 0.0                 0.0              0.0                0.0                0.0               0.0                0.0               0.0               0.0               0.0               0.0                0.0               0.0                0.0                0.0                0.0                 0.0                 0.0                0.0       0.0       0.0       0.0              
mean   0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0      0.0      0.0021            0.007833333333333333 0.0036            0.00015            0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0002666666666666666 0.0009166666666666666 0.009283333333333333 0.024283333333333334 0.04371666666666667 0.0641           0.12013333333333333 0.16073333333333334 0.17418333333333333 0.17743333333333333 0.18931666666666666 0.17415          0.18693333333333334 0.15365          0.10011666666666667 0.07123333333333333 0.053816666666666665 0.021366666666666666 0.010083333333333333 0.003533333333333333 0.0      0.0      0.0      0.0      0.0      0.0      0.0010666666666666667 0.0007             0.00695           0.005483333333333333 0.0471          0.1384           0.2641833333333333 0.5066166666666667 0.8668          1.2900833333333332 1.87035           2.52995           3.2016166666666668 3.62555           3.721983333333333 3.39255           2.8029333333333333 2.044383333333333 1.2021166666666667 0.63345           0.2961666666666667 0.09398333333333334 0.03521666666666667 0.008633333333333333 0.0      0.0      0.0      0.0      0.0032333333333333333 0.00585           0.012016666666666667 0.06976666666666667 0.21208333333333335 0.5461           1.1544166666666666 2.2159            3.6396333333333333 5.438             7.40705          9.696733333333333 11.883083333333333 13.237366666666667 13.124616666666666 11.813516666666667 9.543666666666667 6.86305         4.19365           2.2746333333333335 1.0610333333333335 0.4130666666666667 0.16208333333333333 0.027766666666666665 0.0028000000000000004 0.0       0.0       0.0006333333333333333 0.005216666666666666 0.01435           0.08088333333333333 0.4102166666666667 1.0432333333333332 2.4192833333333335 4.77575           8.394416666666666 13.31026666666667 19.477300000000003 27.036683333333333 35.21216666666667 41.8408          45.25259999999999 44.33883333333333 39.14144999999999 31.328216666666655 22.923933333333334 14.831016666666667 8.6614           4.5479666666666665 2.137016666666667 0.8629            0.20775           0.02965          0.002033333333333333 0.0       0.0       0.010316666666666667 0.06335          0.3954666666666667 1.4634           3.5877833333333333 7.227816666666667 13.017116666666666 21.217916666666664 31.500400000000013 44.20636666666667 58.903850000000006 73.80415          85.1027333333333  90.59978333333333 88.92393333333337 80.18124999999996 65.94281666666669 49.79383333333333 34.34983333333332 21.51             12.390316666666665 6.639116666666666 2.9927166666666665 0.8436666666666667 0.14163333333333333 0.0047            0.0       0.00018333333333333334 0.0275           0.22143333333333334 1.1195166666666667 3.2899           7.436466666666667 14.254433333333335 24.13775         37.28851666666666 53.11539999999999 70.91281666666663 89.27846666666665 106.23296666666666 118.5061166666667 124.09814999999995 121.71133333333334 112.03333333333333 96.10811666666665 75.16536666666667 54.037116666666655 35.31248333333333 20.9919          11.442433333333334 5.387766666666667 1.8555833333333334 0.3727           0.0303            0.0007833333333333334 0.019733333333333332 0.10766666666666666 0.59565           2.3124           5.928766666666666 12.436050000000002 22.451800000000002 36.294783333333335 53.89841666666667 73.76471666666671 94.1030833333333 111.5794833333333 124.99991666666668 132.7591166666666 135.3987          133.33865000000006 126.67753333333334 113.54666666666667 93.74426666666666 69.77793333333334 46.832883333333335 28.143916666666666 15.201050000000002 7.033666666666667 2.5830333333333333 0.5131           0.03188333333333333 0.004066666666666666 0.05081666666666667 0.32936666666666664 1.31735          3.7481333333333335 8.483466666666667 16.81818333333333 29.5974          46.93015         68.10700000000001 90.29138333333331 108.47571666666668 119.43541666666667 123.39385         123.03804999999998 122.34065         122.73004999999999 122.1441          116.26093333333336 100.61060000000002 77.31803333333333 52.8976          31.810616666666675 16.357666666666667 7.185666666666667 2.6066166666666666 0.4815833333333333 0.027183333333333334 0.004866666666666667 0.07946666666666667 0.5120166666666667 1.7193833333333333 4.4458166666666665 9.806633333333334 19.526483333333335 34.504816666666656 54.7009          78.13803333333331 99.0387           110.60046666666668 110.78755000000001 104.55361666666666 99.0472           99.38838333333334 104.33321666666667 110.88206666666666 111.07826666666665 99.14691666666667 77.04055000000001 52.70576666666665 31.448416666666667 15.392716666666665 5.961133333333334 1.8979666666666666 0.35183333333333333 0.028216666666666668 0.006666666666666667 0.09856666666666666 0.5230333333333334 1.6745833333333333 4.289083333333332 9.876433333333333 20.539316666666675 37.18903333333333 59.715116666666674 83.39873333333334 100.2259        103.16881666666667 93.89213333333336 82.95281666666664 79.42283333333334 84.52501666666667 93.86858333333333 104.42753333333333 106.28118333333335 94.22186666666667 71.84906666666667 48.31725000000001 28.478183333333337 13.498166666666666 4.6005            1.1501            0.22183333333333333 0.018733333333333334 0.005933333333333333 0.0764           0.42088333333333333 1.2803666666666667 3.6460833333333333 9.5539            21.133233333333326 39.85451666666668 64.08921666666667 87.20966666666664 98.78058333333334 94.86685          81.68353333333332 73.34276666666666 76.14506666666666 85.42555000000002 97.29279999999999 107.48258333333338 105.50943333333336 89.02950000000001 64.94435000000001 42.49688333333334 25.3411          12.580216666666667 3.9898833333333332 0.6045333333333334 0.1245           0.008166666666666666 0.0038            0.04368333333333333 0.24203333333333332 0.8788166666666667 3.0688333333333335 9.60745          22.777983333333324 43.57503333333333 68.97133333333333 90.25669999999998 97.89381666666667 91.08273333333335 79.70675000000001 79.36911666666667 89.3387           101.71451666666667 113.03786666666667 117.58110000000002 107.42671666666666 84.51888333333333 58.58716666666668 38.263449999999985 23.739233333333324 12.7121          4.294716666666667 0.44325          0.07978333333333333 0.010166666666666666 0.0005333333333333333 0.01825           0.12261666666666667 0.6073333333333333 2.9178333333333333 10.634166666666667 25.5538          47.58371666666666 72.63223333333333 91.67364999999997 96.88841666666666 91.09773333333334 86.8673           96.96654999999998 111.37183333333333 123.97206666666669 129.80655        126.59955000000004 108.88033333333334 81.15763333333334 55.225866666666676 37.204600000000006 23.972799999999992 13.64375         5.102683333333333 0.5847           0.08298333333333334 0.010866666666666665 0.0018833333333333334 0.00825          0.05416666666666667 0.46618333333333334 3.0655833333333335 12.351266666666668 28.528066666666675 50.508383333333335 73.7506166666667 90.36918333333335 95.07698333333332 93.28853333333333 97.82895          115.42131666666667 130.26725000000002 139.5536         137.10063333333332 128.08575000000002 106.99451666666667 79.55395          56.09656666666666 38.94306666666667 25.537466666666663 14.61625         5.721583333333333 0.8203            0.09245           0.0022166666666666667 0.0007333333333333333 0.0038666666666666667 0.0451           0.5055833333333334 3.560566666666667 14.40815        30.988316666666666 51.20963333333334 71.44043333333333 85.73221666666667 91.38103333333336 94.24243333333334 105.0471166666667 123.2042          135.6894333333333 139.1100500000001 131.8045          121.43656666666666 101.3403         78.3792666666667  58.2829          41.250933333333336 26.980116666666667 14.890599999999997 5.828283333333333 1.0795666666666666 0.14821666666666666 0.010833333333333334 0.0006666666666666666 0.003966666666666667 0.07433333333333333 0.6229666666666667 4.469966666666667 16.528966666666665 32.554916666666664 49.944733333333346 66.31171666666665 77.88626666666663 83.70705          89.4484166666667  101.13601666666668 115.8574          126.4734166666667 127.42665        121.05681666666669 111.2181          95.37233333333332 77.3547833333333  59.60733333333334 42.040333333333336 26.728766666666665 14.243116666666667 5.61555          1.2871            0.1915           0.0123            0.0       0.0072833333333333335 0.1122           0.95335           5.952233333333334 18.5244          33.451200000000014 48.17635000000001 60.46053333333333 69.21803333333334 74.68141666666664 80.73669999999997 89.58655          101.95041666666667 112.6165          115.43691666666665 112.24483333333336 104.52415         92.62658333333333 77.26148333333333 59.32851666666667 40.80829999999998 24.942750000000007 12.8348          5.15665           1.4166666666666667 0.21003333333333332 0.008883333333333333 0.0018999999999999998 0.005316666666666667 0.1805           1.52015          7.62145          20.417866666666658 34.91083333333333 48.18256666666665 58.27685000000002 65.99446666666665 71.74663333333334 76.5832833333333  83.12219999999996 95.12993333333335 106.5572          112.20138333333334 111.3479333333333 105.01828333333333 93.61858333333332 76.62743333333333 56.70108333333335 37.76256666666665 22.54671666666666 11.382333333333333 4.57905           1.29855           0.15393333333333334 0.012183333333333332 0.00024999999999999995 0.012183333333333332 0.28631666666666666 2.043816666666667 8.723516666666667 21.734466666666666 36.83316666666666 50.97906666666667 62.35015000000001 71.27151666666668 77.88029999999995 82.63466666666669 89.96743333333333 101.40631666666667 112.44548333333334 117.80344999999997 115.92461666666664 107.4325          92.27738333333335 71.88329999999999 50.80025         32.69396666666667 18.772966666666665 9.15635          3.64005           1.0685            0.1467           0.006833333333333334 0.0       0.015266666666666666 0.332            2.2556666666666665 8.51305          20.694083333333328 37.08521666666666 53.79403333333333 68.86950000000003 81.15960000000003 90.40591666666667 97.8863           106.73456666666667 117.33951666666665 124.95241666666665 125.55574999999997 118.21625        103.80583333333334 83.87638333333334 61.235649999999985 40.9525         24.944033333333334 13.628616666666666 6.5375          2.7138833333333334 0.7491666666666666 0.11168333333333333 0.0016833333333333333 0.0005333333333333334 0.0127            0.28423333333333334 1.8392            6.632583333333334 16.900483333333334 32.809466666666665 51.57088333333335 70.42373333333333 87.25199999999998 100.98513333333337 112.45575000000001 122.594           130.37229999999997 131.8449          124.86803333333334 110.02579999999998 89.466            66.59126666666668 45.59738333333333 28.556666666666676 16.295816666666664 8.511483333333333 4.109083333333333 1.7029833333333333 0.4438166666666667 0.05905           0.00065            0.0005166666666666667 0.0009833333333333332 0.18708333333333332 1.0879666666666667 3.9444333333333335 10.845366666666667 23.390633333333334 40.63853333333335 60.96918333333332 81.0054           99.11143333333334 113.10050000000003 122.52431666666666 125.30225000000002 120.61356666666667 107.1858666666667 87.70641666666667 65.97305000000003 45.33371666666667 28.730816666666662 16.903449999999996 9.16145          4.708966666666667 2.225016666666667 0.8351333333333333 0.18911666666666666 0.017833333333333333 0.0012            0.0       0.0       0.06416666666666666 0.4187666666666667 1.7327            5.014733333333333 12.030916666666666 23.940133333333325 40.25658333333333 58.89248333333331 77.26886666666667 92.0322           99.70438333333335 99.16466666666665 90.59210000000002 75.5835          57.58613333333332 40.1938          25.497233333333334 15.239833333333335 8.523683333333333 4.419233333333334 2.2050666666666667 0.98165           0.3103666666666667 0.057966666666666666 0.009616666666666667 0.0       0.0       0.0       0.01585           0.1222           0.5436333333333333 1.60085          4.203316666666667 9.143583333333334 16.827616666666668 27.076816666666666 38.10338333333333 47.04378333333332 51.60875         50.96225         45.437583333333336 36.74453333333334 27.441783333333333 19.108583333333332 12.11415         7.2149            3.9593333333333325 1.9931833333333335 0.9512333333333334 0.39963333333333334 0.10181666666666667 0.022183333333333333 0.0019333333333333333 0.0       0.0       0.0       0.0015666666666666667 0.017783333333333335 0.12778333333333333 0.4745           1.4055            3.1807833333333333 6.1434           9.8287           13.869333333333332 16.718333333333334 18.100016666666665 17.775400000000005 15.807666666666666 13.12355         10.49805         7.791166666666669 5.221933333333333 3.1621333333333332 1.6913333333333334 0.8253833333333334 0.3705833333333333 0.13981666666666667 0.031266666666666665 0.0035666666666666676 0.0017333333333333333 0.0       0.0       0.0       0.0       0.0006333333333333333 0.03545          0.16308333333333333 0.5382833333333333 1.19935          2.3160833333333333 3.511433333333333 4.850216666666666 5.9802333333333335 6.444816666666667 6.259233333333333 5.570516666666666 4.4507666666666665 3.5349333333333335 2.591816666666667 1.7011666666666667 1.0086            0.5402833333333333 0.2384           0.07526666666666666 0.016166666666666666 0.0005166666666666666 0.0009833333333333332 0.0       0.0       0.0       0.0       0.0       0.0       0.002533333333333333 0.015583333333333333 0.041633333333333335 0.0892           0.12821666666666667 0.19673333333333334 0.3360166666666667 0.42996666666666666 0.5259833333333334 0.5906833333333333 0.6880333333333334 0.5920666666666666 0.48273333333333335 0.3435166666666667 0.20043333333333332 0.08886666666666666 0.04563333333333333 0.019283333333333333 0.015116666666666667 0.002              0.0       0.0       0.0       0.0              
maxs   0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0      0.0      116.0             254.0               216.0             9.0                0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      16.0                 47.0                 157.0               254.0               255.0              254.0            255.0              255.0              255.0              255.0              255.0              255.0            255.0              255.0            255.0              255.0              244.0               255.0               184.0               197.0               0.0      0.0      0.0      0.0      0.0      0.0      64.0                 29.0               134.0             62.0                234.0           255.0            255.0             255.0             255.0           255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0            255.0             255.0             255.0             255.0              255.0              165.0               0.0      0.0      0.0      0.0      141.0                101.0             96.0                255.0              255.0              255.0            255.0             255.0             255.0             255.0             255.0            255.0            255.0             255.0             255.0             255.0             255.0            255.0           255.0             255.0             255.0             255.0             255.0              192.0               121.0                0.0       0.0       38.0                 144.0               101.0             254.0              255.0             255.0             255.0             255.0             255.0             255.0            255.0             255.0             255.0            255.0            255.0            255.0            255.0            255.0             255.0             255.0             255.0            255.0             255.0             255.0             254.0             221.0            63.0                0.0       0.0       95.0                255.0            255.0             255.0            255.0             255.0            255.0             255.0             255.0             255.0            255.0             255.0             255.0             255.0             255.0             255.0             255.0            255.0            255.0            255.0             255.0             255.0             255.0             255.0             255.0              93.0              0.0       7.0                   210.0            255.0              255.0             255.0            255.0            255.0             255.0            255.0            255.0            255.0             255.0            255.0             255.0             255.0             255.0             255.0             255.0             255.0            255.0             255.0            255.0            255.0             255.0             255.0             254.0            253.0             47.0                 191.0               255.0              255.0             255.0            255.0            255.0             255.0             255.0             255.0            255.0             255.0            255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0            255.0             255.0             255.0             255.0            255.0             255.0            253.0              191.0               252.0              255.0              255.0            255.0             255.0            255.0             255.0            255.0            255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0            255.0             255.0             255.0            255.0             254.0             221.0               184.0               254.0              255.0             255.0             255.0             255.0            255.0             255.0             255.0            255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0            255.0             255.0             255.0             255.0             255.0              220.0               214.0               255.0              255.0             255.0             255.0             255.0             255.0             255.0            255.0             255.0             255.0           255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0            255.0            255.0             255.0             255.0             255.0             254.0              203.0               150.0               255.0            255.0              255.0             255.0             255.0             255.0             255.0            255.0            255.0            255.0             255.0             255.0             255.0             255.0            255.0             255.0             255.0             255.0             255.0             255.0            255.0            255.0            255.0             255.0             255.0             253.0            131.0               163.0             255.0              255.0              255.0             255.0             255.0            255.0             255.0            255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0            255.0            255.0             255.0             255.0            255.0            254.0            252.0              152.0               32.0                 253.0             255.0              255.0             255.0             255.0             255.0            255.0            255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0            255.0             255.0             255.0             255.0             255.0             255.0             255.0            255.0             254.0            252.0              247.0               113.0                188.0            254.0              255.0              255.0             255.0             255.0             255.0             255.0            255.0             255.0            255.0             255.0             255.0             255.0             255.0            255.0             255.0             255.0             255.0             255.0            255.0            255.0             255.0            255.0            255.0             254.0             52.0                 37.0                 226.0                254.0            255.0             255.0            255.0           255.0             255.0            255.0             255.0             255.0             255.0            255.0             255.0             255.0             255.0            255.0             255.0             255.0            255.0             255.0            255.0             255.0             255.0             255.0            255.0             255.0              190.0               40.0                 107.0               254.0              255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0            255.0             255.0             255.0             255.0             255.0            255.0             255.0             255.0             255.0            255.0             254.0            223.0             0.0       133.0                254.0            255.0             255.0            255.0            255.0             255.0            255.0            255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0            255.0            255.0             255.0            255.0             255.0             253.0              104.0               60.0                 197.0               255.0            255.0            255.0            255.0             255.0            255.0            255.0            255.0            255.0             255.0             255.0             255.0             255.0             255.0             255.0            255.0             255.0             255.0             255.0            255.0            255.0            255.0             255.0             255.0             255.0              153.0               15.0                  166.0               255.0              255.0             255.0             255.0             255.0            255.0            255.0            255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0            255.0            255.0             255.0            255.0             255.0             253.0            128.0               0.0       185.0               255.0            255.0             255.0            255.0             255.0            255.0            255.0            255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0            255.0             255.0             255.0             255.0           255.0             255.0             255.0           255.0             255.0             255.0              51.0                 32.0                 185.0             255.0              255.0             255.0             255.0             255.0             255.0            255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0            255.0            255.0             255.0             255.0             255.0            255.0             255.0             252.0             39.0               31.0                 38.0                 255.0              255.0             255.0             255.0             255.0             255.0            255.0            255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0            255.0            255.0             255.0             255.0            255.0            255.0            255.0             254.0              225.0               72.0              0.0       0.0       217.0              255.0             255.0             255.0             255.0             255.0             255.0            255.0            255.0            255.0             255.0             255.0             255.0             255.0            255.0            255.0            255.0             255.0             255.0            255.0             255.0             255.0             255.0             254.0               150.0               0.0       0.0       0.0       253.0             253.0            255.0             255.0            255.0             255.0            255.0             255.0             255.0            255.0            255.0            255.0            255.0             255.0            255.0             255.0             255.0            255.0             255.0             255.0             255.0             255.0              254.0              252.0               98.0                 0.0       0.0       0.0       42.0                 254.0               255.0              255.0            255.0             255.0             255.0            255.0            255.0             255.0             255.0             255.0             255.0             255.0            255.0            255.0             255.0            255.0             255.0             255.0             255.0             255.0              253.0               127.0                104.0                0.0       0.0       0.0       0.0       38.0                 255.0            255.0              255.0             255.0            255.0             255.0             255.0             255.0             255.0             255.0            255.0             255.0             255.0             255.0             255.0             255.0             255.0             255.0            255.0              137.0               28.0                 59.0                 0.0       0.0       0.0       0.0       0.0       0.0       94.0                252.0               245.0               254.0            254.0              255.0              255.0             255.0              255.0             255.0             255.0             255.0             255.0              255.0             254.0              254.0              253.0              253.0               254.0               62.0               0.0       0.0       0.0       0.0              
sigma  0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0      0.0      0.4753237726835761 1.3611892543502753  0.8818163074019442 0.03674234614174767 0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.06531972647421809  0.19463587655147987  1.0550113919793358  2.095113396626692   2.9620632026842095 3.323879559529111 4.869298014081844  5.529033155294823  5.693679284913422  5.6935803931431215 5.923067384824885  5.766120236335376 5.970411769091008  5.413421293076582 4.330493336707095  3.716560599882697  3.208690079755707   1.9430833894714512  1.2112415578614975  0.806576112324583   0.0      0.0      0.0      0.0      0.0      0.0      0.26127890589687236  0.12974252920842144 0.8155035959057746 0.4575187665869585  2.66805176705223 4.994466389739946 7.136273953529336 9.714447782966582 12.9304348094875 15.540110249828725 18.820474959879782 21.964580814977396 24.793329328794112 26.197396351363363 26.799517911753448 25.731870446007434 23.27466419153617 20.06462284564272 15.293278379485832 11.114105893862853 7.468139986467169 3.960830544557408  2.499722770619652  1.102487667447201   0.0      0.0      0.0      0.0      0.6022974831923672   0.6594869416577583 0.8540205436094832  3.1502166078911937 6.028546788626753  9.924900495764724 14.59523058533116 20.584661344345154 26.533975139988   32.542536363113264 37.78969826093363 43.19464579805367 47.78964823056373 50.5019817885229  49.98050608190016 47.66323884335466 43.00011290741831 36.6596639402696 28.404776538456872 21.029590595006017 13.813474887479618 8.774667658023525 5.366692868945894  1.8218262805233367  0.5299341221663599   0.0       0.0       0.15513435037626794  0.6719600523052595  0.9635314650015678 3.3754058189294707 8.148843211185472 13.244579565254353 20.823475817103013 29.617748881174496 39.603801919914595 49.87051653100464 59.805887088525886 69.28249638548552 77.89051140865415 83.78317501563343 86.45496438948891 85.65993882240133 81.39234620321808 74.0486442179389  64.25996241498316 52.28056090859397 39.94468520764607 28.689622120885097 19.644644943791636 12.166897885111709 5.3333289176763135 2.080370882771507 0.35236997833562583 0.0       0.0       0.8668272162774252  2.873019494338709 7.628947686035658 16.14181535877294 25.688319503535144 36.67444250626416 49.23591940797952 62.272373969541135 74.5514730362555  85.77026245595995 95.61844637219473 103.08168552176956 107.16691758653556 108.49723900081929 107.89396414529963 105.10984413028616 98.93095270080926 89.51768569528458 76.73506774056592 61.877606994001646 47.50182813984811 34.886814577768185 22.831390339314336 11.272122436995888 4.435763887491832  0.5725527983907822 0.0       0.03291379311958004   1.755864972322763 6.0891284464179405 14.16685606488733 24.68264664105979 37.34051689633648 51.75386882215851 66.43425020347185 80.52341817848793 92.40025602216633 101.47826933085474 107.7244758586794 111.0196831618897 112.17243098681134 112.33559114543708 112.33178851984607 112.15184181642286 109.87045289518643 103.7402293605781 93.0709921288367  78.09818239200325 61.86450157130428 45.966784042024756 31.154278146502918 17.824430491091743 7.713606141444378 2.0601179524725364 0.19187669651801562  1.491458235983624   4.102587201094523  10.068782154944794 20.46300853944278 33.22554024774166 48.20124721486003 63.9818505883771  79.05734303135822 92.26958107678962 101.75171160853581 107.4687615824787 109.95279248845534 110.40843393372528 110.43213306289043 110.12256877972793 110.22568799762183 110.67403577300983 110.98111447006815 108.63278120261283 101.0579462397879 87.88357590624251 70.7944470672334  52.84034030855181 35.70291600872045 21.307246156598193 9.032156703739812 2.0716189272656345 0.8092142542928366  2.9339241864053704 7.645433831806417  15.45311464689362 26.87658402826469 40.22858642352454 56.057719068511645 72.67122308739374 88.06822225509998 100.06556435467444 107.23677995229048 110.4157132725321 111.10973503049449 111.36915603968986 111.18749096233776 110.80218451356927 110.76564898084335 111.02039389524045 111.38473559297796 110.20132231434731 104.59900734394111 92.64015913320063 75.0839251141674  54.855838588728886 36.34916801783981 21.59890602396518 8.92892805748035  2.0127705417681834  0.8240677361010947  3.764499245999629  9.66277108729549  18.472555991934   29.560446452982244 43.35589854023548 60.333468882736874 78.04267798962854 93.62702960613395 104.38315817631086 109.98900412614198 111.4497766888489 111.335302611036  110.10874771875208 108.97515817184349 108.74854993288383 109.32993536645169 110.54164441202559 111.13625509008666 109.97980674404695 104.57869565112469 92.85973961984958 74.84717278660312 53.046838640374084 32.847177529686626 18.086397499091145 7.452078381012832  1.9968275526595027  1.1548496800530423  4.355173253858382  9.905421314701657 18.16151658510746 29.088298614935535 43.454401035588006 61.78621620670429 80.37530157258469 96.46588146036133 106.33847959667722 110.356358726122 110.77160085836833 107.97539816809683 104.07441992062421 102.95858076492755 105.18904784448564 107.40948015080804 109.74264579485038 110.46527114377865 109.12052096947897 102.4485689551115 89.91060950224868 71.77545415597669 49.768260748880124 28.875278863510406 14.153730089906487 6.003517636293663  1.5777696974450544  0.8409973742519139  3.678204524829396 8.916421120371979  15.613627305066428 26.525430935258345 42.427820630525645 62.43392946791594 82.52632142430996 98.85996516250441 107.6930370840791 110.19047783429298 108.81992242846032 104.05949238367512 100.12177344199833 102.7675871823333 106.48859009706709 107.95254079460597 109.93245221071227 110.41864870714514 107.92814772415883 99.00319446169094 85.10269383571057 68.56910538155563 48.673322777049975 26.653512360445255 9.89240636939694  4.444629230372682 0.8949748535882809  0.7163989441115325 2.690147898285668  6.653231617572885  12.81420571075407 24.09433206349954 42.48424574297833 64.67343892842024 85.848723170781  101.51143525606865 108.97354415483342 110.13875377987739 108.18790088958133 103.98411464917365 103.05023124050895 108.90489239195415 110.83926577848527 109.84282827551502 111.10688233308665 111.24624574192569 106.3839643424588 94.99426895252391 81.39965136586812 66.84820924151123 49.77224127486483 27.9198182424343 8.450286162399301 3.7098716067870243 1.0246694449171132  0.13063945294843618  1.6690606240905235 4.800104079049577  10.641415956117623 23.4061476134225  44.58841405660619 68.46189905891973 89.2532245569945 103.45170895292311 109.46851572458212 110.09210206462892 108.31979367205813 106.35282258951983 108.71705886265333 113.81400778072826 111.60669523212262 109.9477706411942 112.14929817382802 111.55060050113323 104.69400380301678 92.90376366292848 80.72051124418289 67.43449500820742 51.76970643448321 31.018914805072033 9.824820678347741 3.5510806715638674 1.467623185353036   0.46132056822416523  1.032763145238008 2.960525637577963  9.080489929220676  23.700767447476228 47.96249908436308 72.22148395485446 91.76382787562952 104.2680954169671 109.40010463149146 109.5551425647716 108.38221453228695 108.21449578583487 111.55106290959459 113.7281479184667 109.5227582785865 109.84015805070672 112.37902835658919 111.07364993190274 104.26400148548042 93.96062553820836 82.50369066236837 69.32608766803502 53.47609946656297 32.99926236572065 11.898382275265245 3.7513514286799396 0.3173537956488769   0.15373089943809687  0.9229658245681567   2.418476822403378 9.490658742667886 25.35666738792592 51.9815197759499 75.17685042272242 92.43636457165444 103.23766876524812 108.16900688731148 108.53707408933175 108.3545599929082 109.57744742252447 112.60847043400818 112.61613200706205 109.3275944781527 111.35671279739456 112.61399206166918 109.8448335639916 104.16195411636781 95.57987981864753 84.74770066895643 70.8337354534384  53.50622873630594 33.21146709715639 14.015704637245209 5.002915713776272  1.1891479611203897  0.16329931618554522  0.5914023685288896  3.4411585135078377 10.261827368971446 28.467298861160497 55.62299158518387 77.08895075991896 91.52044222714024 100.61028703144954 105.07501880746207 106.17696261157904 107.25739822960607 110.0015072093387 112.92726822180045 112.64448591178278 111.2844392696087 112.14668342477381 111.23167238009297 108.51202644048382 104.03058084756735 96.82542967777678 85.26142561792248 70.36272460871923 52.07428258236654 32.35925576330095 15.313604475477586 5.605617848717282 1.3759046461243551 0.0       0.815418932117802    4.417748646281085 12.900618107024654 33.46610451409124 59.11146736519264 77.97310101546579 90.0350357127996 97.39496054051187 101.39109607869071 103.22753518349674 105.46198925187667 108.58139362285566 110.8900903373635 111.91682425210182 111.7701355306789 111.06045514516181 109.85181264074122 108.27711350457001 104.36299936788105 96.7427363996069 84.11441991936128 67.77204603134359 49.21703039492206 30.633742581461416 15.999957985355703 5.844660412132123  0.8293868524989252  0.3217112291614684   0.8369986514333604  5.417177202825667 16.64930671132383 38.27828283783269 62.25629755207074 79.52502951782466 90.15361518348038 96.17548959839418 100.0826612274417 102.81206451908129 104.84874193267399 106.41423808398221 109.13384818931857 111.17699702233573 110.9544566159637 110.1974255610004 110.20483882674151 109.02140141164556 104.63864493983954 95.31105393452407 81.48577048126504 64.64670296431565 46.291721397531994 28.944760281438896 15.198873905445536 4.877837746779504  1.2482497887767265  0.06123724356957946   1.0799325614567377  7.201708397534547  19.680190173483503 41.152700187374506 64.4031758135146  81.54375915042893 92.33213714008087 98.67384736484163 102.81246812567574 105.47473135254988 107.21688932211886 108.55633628389151 110.31238131079195 111.46484992205329 111.04948274481573 110.60295633896459 111.09334171134145 109.01110845008328 102.51221680212835 91.46918530376868 76.55392904351646 59.25663545133973 41.49078085662447 25.805692231754335 13.668858342163754 5.027013721662458 0.8514294183448968  0.0       1.4761785959958718  7.672174205374725 20.662701912941134 40.72628889150448 62.667206612705066 81.52900038892989 94.50945778964358 102.3415244799354 106.70542408252801 109.08700143107981 110.41873819211604 111.20125362209579 111.60574825018541 111.47552870047926 111.21619730347977 111.2382189340817 110.51108516481335 106.53120176988321 97.66673622887303 83.9089629041554 67.6085210329844  50.60944555797909 34.9204789640814 22.313271505716287 11.266805151440561 4.2901029804402055 0.2915737470630518   0.13063945294843615  1.2688047687064987 7.018385311054706  18.394966239156723 35.242177692520606 56.40473299879009 76.79311329856597 92.87921969621217 103.29518179294998 108.84990767584517 111.13763721270266 111.45965411833603 111.08416040182418 110.36132453480195 110.59183236815656 110.96464378651606 110.61208064628272 107.50207341688726 99.81895862412061 87.23597433631777 71.55945524398669 54.92388660429738 40.030595077708085 27.63473138641606 17.575568633094115 8.71413463108998  2.9212050004768435 0.15921683328090658 0.12655697004379754  0.16375636371756627  5.550435113444233  13.776649028937697 26.69845299766942 44.5855946816881  64.91208155578143 83.54289735685018 97.9574448149959 107.05118014339136 111.52040887645701 112.85647718595527 112.45059949886965 112.1344465236818 112.21631927212758 111.29665255222208 107.26496455834692 99.25978053621736 86.58235381176841 71.44504692590822 55.77469804233094 41.32755073803673 29.54838435598789 20.2164371054482 11.923802047437583 5.092636887595336  1.4615919094389462  0.2939387691339814 0.0       0.0       2.8219346840087507 8.067950132626292 17.329219709523247 29.773358736915515 46.21790809931658 64.73210527556203 82.14054986926536 95.70325025150157 104.5626679711316 109.15037590362509 110.54388597580525 110.20762683940005 107.88092674717468 102.8837684586197 94.00734016048403 81.68357736824171 67.1112280046662  52.76676781367209 39.93495568769068 28.758599195649587 20.20677822481834 13.247971105914308 7.165037438486543 2.9966797516108477  0.9244665653027849  0.0       0.0       0.0       1.5310142098976465 4.250455065770931 9.443342403204031 16.79628920921781 27.363831822095424 40.92504833822533 55.431452967480695 69.69996951669992 81.03793832321489 88.24253591912924 91.10085526236657 90.55464589960252 86.19310505109458 78.50498638513572 69.33214305010858 58.83424726130099 47.37588023116786 37.073617198868035 27.386395280619354 19.584657162678607 13.318002026024335 8.364491971681323  3.953704241511081  1.9494412631340112  0.4067747369863731   0.0       0.0       0.0       0.23508537450844819  1.621956924662298   4.629122872211501  9.204089399339178 16.197785112602357 24.77419955119531 34.95047537161898 44.06449838184508 52.01557926778922 56.70271319655071 58.861293372900676 58.24608769367142 54.65443129033439 49.85600043201571 44.91689312852094 38.756981182303086 31.90141910016803 24.769004915598934 17.999733092338122 12.566218902969482 8.069114150250638 4.868510690104441  1.9924077286116681  0.6284588516609708   0.42457822208241747  0.0       0.0       0.0       0.0       0.15513435037626794  2.344380138288985 5.19882079148877   10.093482997774982 15.13803143005808 21.370863807765325 26.209038857631786 30.792706140668766 34.15245499885179 35.289820217591156 34.67069366235514 32.791842214413414 29.060340978772405 26.101168572413947 22.251301573318145 18.10705837691313 13.897102031145955 10.317854341949811 6.552565480423648 3.5003055768329348 1.2417585668295295  0.11496355944046882  0.24086649137367916  0.0       0.0       0.0       0.0       0.0       0.0       0.43752726321604596 1.7211981878260227  2.6012201184554335  4.032627066981402 4.776046900606069  6.177879795329056  7.680724316440212 9.093558537723476  9.898373157388454 10.431982408472118 11.403013225052947 10.517303232768864 9.397895537631346  8.05773304042467  6.0424720385529715 3.956188852847255  2.839844833355075  1.686769764844296   1.678283378030611   0.34659967617160103 0.0       0.0       0.0       0.0              
zeros  60000   60000   60000   60000   60000   60000   60000   60000   60000   60000   60000    60000    59998             59998               59999             59999              60000    60000    60000    60000    60000    60000    60000    60000    60000    60000    60000    60000    60000    60000    60000    60000    59999                59998                59994               59986               59981              59965            59950              59934              59917              59917              59920              59918            59920              59932            59952              59970              59978               59987               59995               59998               60000    60000    60000    60000    60000    60000    59999                59998              59992             59988               59968           59928            59866             59765             59604           59401             59163             58864             58649             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0.0              0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0              0.0                 0.0       0.0       0.0                 0.0              0.0               0.0              0.0               0.0              0.0               0.0               89.0              252.0            252.0             252.0             229.0             49.0              0.0               0.0               0.0              0.0              0.0              0.0               0.0               0.0               0.0               0.0               0.0                0.0               0.0       0.0                   0.0              0.0                0.0               0.0              0.0              0.0               0.0              0.0              213.0            252.0             252.0            252.0             253.0             212.0             17.0              0.0               0.0               0.0              0.0               0.0              0.0              0.0               0.0               0.0               0.0              0.0               0.0                  0.0                 0.0                0.0               0.0              0.0              0.0               0.0               0.0               0.0              67.0              230.0            230.0             249.0             253.0             252.0             201.0             6.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0              0.0               0.0              0.0                0.0                 0.0                0.0                0.0              0.0               0.0              0.0               0.0              0.0              0.0               0.0               0.0               0.0               125.0             253.0             252.0             252.0             35.0              0.0               0.0               0.0               0.0              0.0               0.0               0.0              0.0               0.0               0.0                 0.0                 0.0                0.0               0.0               0.0               0.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0               128.0             252.0             252.0             121.0             0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0                0.0                 0.0                 0.0                0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0             27.0              122.0             69.0              32.0              249.0             252.0             126.0             0.0               0.0               0.0              0.0              0.0               0.0               0.0               0.0               0.0                0.0                 0.0                 0.0              0.0                0.0               0.0               0.0               0.0               0.0              0.0              0.0              7.0               214.0             252.0             209.0             20.0             176.0             252.0             211.0             0.0               0.0               0.0              0.0              0.0              0.0               0.0               0.0               0.0              0.0                 0.0               0.0                0.0                0.0               0.0               0.0              0.0               0.0              0.0               0.0               12.0              252.0             252.0             252.0             216.0             233.0             252.0             121.0             0.0               0.0              0.0              0.0               0.0               0.0              0.0              0.0              0.0                0.0                 0.0                  0.0               0.0                0.0               0.0               0.0               0.0              0.0              0.0               0.0               12.0              252.0             252.0             252.0             253.0             252.0             252.0            121.0             0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0              0.0                0.0                 0.0                  0.0              0.0                0.0                0.0               0.0               0.0               0.0               0.0              0.0               12.0             253.0             253.0             253.0             255.0             253.0            253.0             107.0             0.0               0.0               0.0              0.0              0.0               0.0              0.0              0.0               0.0               0.0                  0.0                  0.0                  0.0              0.0               0.0              0.0             0.0               0.0              0.0               0.0               4.0               96.0             235.0             252.0             253.0             252.0            183.0             3.0               0.0              0.0               0.0              0.0               0.0               0.0               0.0              0.0               0.0                0.0                 0.0                  0.0                 0.0                0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               32.0              92.0              210.0             252.0            192.0             4.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0              0.0               0.0              0.0               0.0       0.0                  0.0              0.0               0.0              0.0              0.0               0.0              0.0              0.0               0.0               0.0               0.0               0.0               86.0              252.0             252.0             10.0              0.0               0.0               0.0              0.0              0.0               0.0              0.0               0.0               0.0                0.0                 0.0                  0.0                 0.0              0.0              0.0              0.0               0.0              0.0              0.0              0.0              0.0               54.0              165.0             46.0              34.0              252.0             252.0            35.0              0.0               0.0               0.0              0.0              0.0              0.0               0.0               0.0               0.0                0.0                 0.0                   0.0                 0.0                0.0               0.0               0.0               0.0              0.0              0.0              0.0               9.0               231.0             252.0             229.0             72.0              252.0             252.0             121.0             0.0               0.0               0.0              0.0              0.0               0.0              0.0               0.0               0.0              0.0                 0.0       0.0                 0.0              0.0               0.0              0.0               0.0              0.0              0.0              0.0               12.0              252.0             252.0             252.0             244.0             252.0             252.0            121.0             0.0               0.0               0.0             0.0               0.0               0.0             0.0               0.0               0.0                0.0                  0.0                  0.0               0.0                0.0               0.0               0.0               0.0               0.0              0.0               0.0               12.0              252.0             252.0             252.0             253.0             252.0             252.0             102.0             0.0              0.0              0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0                0.0                  0.0                  0.0                0.0               0.0               0.0               0.0               0.0              0.0              0.0               12.0              252.0             252.0             252.0             253.0             252.0             179.0             3.0              0.0              0.0               0.0               0.0              0.0              0.0              0.0               0.0                0.0                 0.0               0.0       0.0       0.0                0.0               0.0               0.0               0.0               0.0               0.0              0.0              2.0              33.0              66.0              238.0             253.0             252.0            58.0             0.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0                 0.0                 0.0       0.0       0.0       0.0               0.0              0.0               0.0              0.0               0.0              0.0               0.0               0.0              0.0              0.0              0.0              0.0               0.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0                0.0                0.0                 0.0                  0.0       0.0       0.0       0.0                  0.0                 0.0                0.0              0.0               0.0               0.0              0.0              0.0               0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0              0.0               0.0               0.0               0.0               0.0                0.0                 0.0                  0.0                  0.0       0.0       0.0       0.0       0.0                  0.0              0.0                0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0                0.0                 0.0                  0.0                  0.0       0.0       0.0       0.0       0.0       0.0       0.0                 0.0                 0.0                 0.0              0.0                0.0                0.0               0.0                0.0               0.0               0.0               0.0               0.0                0.0               0.0                0.0                0.0                0.0                 0.0                 0.0                0.0       0.0       0.0       0.0       3      
2      0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0      0.0      0.0               0.0                 0.0               0.0                0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0                  0.0                  0.0                 0.0                 0.0                0.0              0.0                0.0                0.0                0.0                0.0                0.0              0.0                0.0              0.0                0.0                0.0                 0.0                 0.0                 0.0                 0.0      0.0      0.0      0.0      0.0      0.0      0.0                  0.0                0.0               0.0                 0.0             0.0              0.0               0.0               0.0             0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0                0.0                0.0                 0.0      0.0      0.0      0.0      0.0                  0.0               0.0                 0.0                0.0                0.0              0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0               0.0               0.0               0.0              0.0             0.0               0.0               0.0               0.0               0.0                0.0                 0.0                  0.0       0.0       0.0                  0.0                 0.0               0.0                0.0               0.0               0.0               0.0               0.0               0.0              0.0               56.0              91.0             202.0            254.0            254.0            254.0            107.0             0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0              0.0                 0.0       0.0       0.0                 0.0              0.0               0.0              0.0               0.0              0.0               4.0               17.0              60.0             225.0             253.0             253.0             253.0             253.0             253.0             241.0            96.0             3.0              0.0               0.0               0.0               0.0               0.0               0.0                0.0               0.0       0.0                   0.0              0.0                0.0               0.0              0.0              0.0               53.0             135.0            253.0            253.0             253.0            253.0             253.0             253.0             253.0             253.0             253.0             253.0            32.0              0.0              0.0              0.0               0.0               0.0               0.0              0.0               0.0                  0.0                 0.0                0.0               0.0              0.0              0.0               48.0              224.0             253.0            253.0             253.0            253.0             253.0             230.0             220.0             220.0             235.0             253.0             253.0             166.0            14.0              0.0               0.0               0.0              0.0               0.0              0.0                0.0                 0.0                0.0                0.0              0.0               0.0              53.0              224.0            253.0            253.0             253.0             253.0             253.0             133.0             42.0              0.0               0.0               116.0             253.0             253.0             253.0             177.0            8.0               0.0               0.0              0.0               0.0               0.0                 0.0                 0.0                0.0               0.0               0.0               4.0              135.0             253.0             253.0            253.0             226.0             161.0             40.0              2.0               0.0               0.0               0.0               93.0              244.0             253.0             253.0             253.0            15.0              0.0               0.0               0.0               0.0                0.0                 0.0                 0.0                0.0               0.0               0.0               108.0             253.0             253.0            253.0             135.0             51.0            0.0               0.0               0.0               0.0               0.0               0.0               0.0               93.0              186.0             253.0            253.0            106.0             0.0               0.0               0.0               0.0                0.0                 0.0                 0.0              0.0                0.0               83.0              246.0             253.0             253.0            141.0            4.0              0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               12.0              224.0            253.0            198.0            24.0              0.0               0.0               0.0              0.0                 0.0               0.0                0.0                0.0               91.0              253.0            253.0             131.0            50.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              222.0            253.0             253.0             89.0             0.0              0.0              0.0                0.0                 0.0                  0.0               0.0                0.0               143.0             253.0             149.0            2.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               222.0             253.0             253.0             89.0             0.0               0.0              0.0                0.0                 0.0                  0.0              0.0                0.0                254.0             253.0             146.0             0.0               0.0              0.0               0.0              0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               222.0            253.0            253.0             89.0             0.0              0.0               0.0               0.0                  0.0                  0.0                  0.0              0.0               254.0            253.0           146.0             0.0              0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0              0.0               0.0               0.0              0.0               222.0            253.0             253.0             89.0              0.0              0.0               0.0                0.0                 0.0                  0.0                 0.0                0.0               254.0             253.0             146.0             0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               222.0            253.0             253.0             89.0              0.0              0.0               0.0              0.0               0.0       0.0                  0.0              0.0               254.0            253.0            146.0             0.0              0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               60.0              236.0            253.0            219.0             49.0             0.0               0.0               0.0                0.0                 0.0                  0.0                 0.0              0.0              255.0            253.0             233.0            78.0             22.0             0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0               61.0              230.0             253.0            253.0            179.0            0.0               0.0               0.0               0.0                0.0                 0.0                   0.0                 0.0                0.0               169.0             253.0             253.0            253.0            194.0            21.0              0.0               0.0               0.0               0.0               0.0               0.0               99.0              131.0             230.0             253.0             253.0            253.0            94.0              0.0              0.0               0.0               0.0              0.0                 0.0       0.0                 0.0              0.0               70.0             236.0             253.0            253.0            253.0            226.0             222.0             222.0             222.0             222.0             222.0             222.0             245.0            253.0             253.0             253.0             253.0           253.0             15.0              0.0             0.0               0.0               0.0                0.0                  0.0                  0.0               0.0                0.0               0.0               85.0              253.0             253.0            253.0             253.0             253.0             253.0             253.0             253.0             253.0             253.0             253.0             253.0             253.0            253.0            219.0             106.0             7.0               0.0              0.0               0.0               0.0               0.0                0.0                  0.0                  0.0                0.0               0.0               1.0               15.0              37.0             179.0            193.0             253.0             253.0             253.0             253.0             253.0             253.0             253.0             253.0            193.0            179.0             32.0              0.0              0.0              0.0              0.0               0.0                0.0                 0.0               0.0       0.0       0.0                0.0               0.0               0.0               0.0               0.0               0.0              18.0             89.0             131.0             253.0             253.0             253.0             253.0            130.0            89.0             17.0              0.0               0.0              0.0               0.0               0.0               0.0               0.0                 0.0                 0.0       0.0       0.0       0.0               0.0              0.0               0.0              0.0               0.0              0.0               0.0               0.0              0.0              0.0              0.0              0.0               0.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0                0.0                0.0                 0.0                  0.0       0.0       0.0       0.0                  0.0                 0.0                0.0              0.0               0.0               0.0              0.0              0.0               0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0              0.0               0.0               0.0               0.0               0.0                0.0                 0.0                  0.0                  0.0       0.0       0.0       0.0       0.0                  0.0              0.0                0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0                0.0                 0.0                  0.0                  0.0       0.0       0.0       0.0       0.0       0.0       0.0                 0.0                 0.0                 0.0              0.0                0.0                0.0               0.0                0.0               0.0               0.0               0.0               0.0                0.0               0.0                0.0                0.0                0.0                 0.0                 0.0                0.0       0.0       0.0       0.0       0      
3      0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0      0.0      0.0               0.0                 0.0               0.0                0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0                  0.0                  0.0                 0.0                 0.0                0.0              0.0                0.0                0.0                0.0                0.0                0.0              0.0                0.0              0.0                0.0                0.0                 0.0                 0.0                 0.0                 0.0      0.0      0.0      0.0      0.0      0.0      0.0                  0.0                0.0               0.0                 0.0             0.0              0.0               0.0               0.0             0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0                0.0                0.0                 0.0      0.0      0.0      0.0      0.0                  0.0               0.0                 0.0                0.0                0.0              0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0               0.0               0.0               0.0              0.0             0.0               0.0               0.0               0.0               0.0                0.0                 0.0                  0.0       0.0       0.0                  0.0                 0.0               0.0                0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               10.0             216.0            163.0            0.0              0.0              0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0              0.0                 0.0       0.0       0.0                 0.0              0.0               0.0              0.0               0.0              0.0               0.0               0.0               0.0              0.0               174.0             254.0             162.0             40.0              148.0             185.0            40.0             0.0              0.0               0.0               0.0               0.0               0.0               0.0                0.0               0.0       0.0                   0.0              0.0                0.0               0.0              0.0              0.0               0.0              0.0              0.0              2.0               127.0            252.0             181.0             133.0             233.0             254.0             254.0             226.0            39.0              0.0              0.0              0.0               0.0               0.0               0.0              0.0               0.0                  0.0                 0.0                0.0               0.0              0.0              0.0               0.0               0.0               0.0              0.0               115.0            254.0             245.0             88.0              233.0             251.0             185.0             207.0             254.0             189.0            0.0               0.0               0.0               0.0              0.0               0.0              0.0                0.0                 0.0                0.0                0.0              0.0               0.0              0.0               0.0              0.0              0.0               44.0              230.0             254.0             123.0             163.0             225.0             66.0              0.0               67.0              251.0             189.0             0.0              0.0               0.0               0.0              0.0               0.0               0.0                 0.0                 0.0                0.0               0.0               0.0               0.0              0.0               0.0               0.0              0.0               120.0             254.0             254.0             21.0              163.0             162.0             0.0               0.0               0.0               193.0             248.0             39.0             0.0               0.0               0.0               0.0               0.0                0.0                 0.0                 0.0                0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               187.0           254.0             200.0             8.0               132.0             131.0             0.0               0.0               0.0               136.0             254.0            43.0             0.0               0.0               0.0               0.0               0.0                0.0                 0.0                 0.0              0.0                0.0               0.0               0.0               0.0               0.0              0.0              28.0             237.0             254.0             84.0              0.0               0.0              0.0               0.0               0.0               0.0               136.0             254.0            90.0             0.0              0.0               0.0               0.0               0.0              0.0                 0.0               0.0                0.0                0.0               0.0               0.0              0.0               0.0              0.0               135.0             254.0             209.0             5.0               0.0               0.0               0.0               0.0               0.0               0.0               236.0            254.0            43.0              0.0               0.0              0.0              0.0              0.0                0.0                 0.0                  0.0               0.0                0.0               0.0               0.0               0.0              0.0              0.0               190.0             254.0             205.0             0.0               0.0               0.0               0.0               0.0              0.0               21.0              247.0             241.0             34.0              0.0               0.0              0.0               0.0              0.0                0.0                 0.0                  0.0              0.0                0.0                0.0               0.0               0.0               0.0               16.0             214.0             254.0            120.0             0.0               0.0               0.0               0.0              0.0               0.0               137.0             254.0             189.0            0.0              0.0               0.0              0.0              0.0               0.0               0.0                  0.0                  0.0                  0.0              0.0               0.0              0.0             0.0               0.0              53.0              254.0             254.0             89.0             0.0               0.0               0.0               0.0              0.0               0.0               207.0            254.0             133.0            0.0               0.0               0.0               0.0              0.0               0.0                0.0                 0.0                  0.0                 0.0                0.0               0.0               0.0               0.0               0.0               152.0             254.0             218.0             0.0               0.0               0.0               0.0               0.0              0.0               40.0              238.0             211.0             28.0             0.0               0.0               0.0               0.0              0.0               0.0              0.0               0.0       0.0                  0.0              0.0               0.0              0.0              0.0               5.0              235.0            254.0             135.0             0.0               0.0               0.0               0.0               0.0               9.0               181.0             254.0             119.0             0.0              0.0              0.0               0.0              0.0               0.0               0.0                0.0                 0.0                  0.0                 0.0              0.0              0.0              0.0               0.0              6.0              254.0            254.0            135.0             0.0               0.0               0.0               0.0               0.0               34.0             254.0             254.0             61.0              0.0              0.0              0.0              0.0               0.0               0.0               0.0                0.0                 0.0                   0.0                 0.0                0.0               0.0               0.0               0.0              6.0              254.0            254.0             135.0             0.0               0.0               0.0               0.0               92.0              215.0             255.0             159.0             4.0               0.0              0.0              0.0               0.0              0.0               0.0               0.0              0.0                 0.0       0.0                 0.0              0.0               0.0              0.0               0.0              6.0              254.0            254.0             179.0             0.0               0.0               7.0               173.0             246.0             254.0            160.0             8.0               0.0               0.0             0.0               0.0               0.0             0.0               0.0               0.0                0.0                  0.0                  0.0               0.0                0.0               0.0               0.0               0.0               1.0              94.0              254.0             254.0             250.0             250.0             250.0             254.0             254.0             159.0             2.0               0.0              0.0              0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0                0.0                  0.0                  0.0                0.0               0.0               0.0               0.0               0.0              13.0             179.0             254.0             254.0             254.0             254.0             254.0             159.0             5.0               0.0              0.0              0.0               0.0               0.0              0.0              0.0              0.0               0.0                0.0                 0.0               0.0       0.0       0.0                0.0               0.0               0.0               0.0               0.0               0.0              12.0             89.0             213.0             254.0             154.0             77.0              8.0              0.0              0.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0                 0.0                 0.0       0.0       0.0       0.0               0.0              0.0               0.0              0.0               0.0              0.0               0.0               0.0              0.0              0.0              0.0              0.0               0.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0                0.0                0.0                 0.0                  0.0       0.0       0.0       0.0                  0.0                 0.0                0.0              0.0               0.0               0.0              0.0              0.0               0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0              0.0               0.0               0.0               0.0               0.0                0.0                 0.0                  0.0                  0.0       0.0       0.0       0.0       0.0                  0.0              0.0                0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0                0.0                 0.0                  0.0                  0.0       0.0       0.0       0.0       0.0       0.0       0.0                 0.0                 0.0                 0.0              0.0                0.0                0.0               0.0                0.0               0.0               0.0               0.0               0.0                0.0               0.0                0.0                0.0                0.0                 0.0                 0.0                0.0       0.0       0.0       0.0       0      
4      0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0      0.0      0.0               0.0                 0.0               0.0                0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0                  0.0                  0.0                 0.0                 0.0                0.0              0.0                0.0                0.0                0.0                0.0                0.0              0.0                0.0              0.0                0.0                0.0                 0.0                 0.0                 0.0                 0.0      0.0      0.0      0.0      0.0      0.0      0.0                  0.0                0.0               0.0                 0.0             0.0              0.0               0.0               0.0             0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0                0.0                0.0                 0.0      0.0      0.0      0.0      0.0                  0.0               0.0                 0.0                0.0                0.0              0.0               0.0               0.0               0.0               0.0              77.0             133.0             151.0             254.0             254.0             220.0            93.0            2.0               0.0               0.0               0.0               0.0                0.0                 0.0                  0.0       0.0       0.0                  0.0                 0.0               0.0                0.0               0.0               0.0               0.0               0.0               0.0              11.0              83.0              254.0            253.0            253.0            253.0            253.0            253.0             253.0             47.0              0.0              0.0               0.0               0.0               0.0               0.0              0.0                 0.0       0.0       0.0                 0.0              0.0               0.0              0.0               0.0              0.0               0.0               0.0               110.0            253.0             254.0             253.0             253.0             253.0             253.0             253.0            253.0            170.0            4.0               0.0               0.0               0.0               0.0               0.0                0.0               0.0       0.0                   0.0              0.0                0.0               0.0              0.0              0.0               0.0              0.0              0.0              110.0             253.0            254.0             253.0             206.0             84.0              170.0             242.0             253.0            253.0             24.0             0.0              0.0               0.0               0.0               0.0              0.0               0.0                  0.0                 0.0                0.0               0.0              0.0              0.0               0.0               0.0               0.0              0.0               84.0             251.0             254.0             149.0             28.0              0.0               44.0              236.0             253.0             253.0            24.0              0.0               0.0               0.0              0.0               0.0              0.0                0.0                 0.0                0.0                0.0              0.0               0.0              0.0               0.0              0.0              0.0               0.0               0.0               57.0              60.0              26.0              0.0               0.0               153.0             253.0             253.0             179.0             6.0              0.0               0.0               0.0              0.0               0.0               0.0                 0.0                 0.0                0.0               0.0               0.0               0.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0               17.0              206.0             253.0             253.0             58.0              0.0              0.0               0.0               0.0               0.0               0.0                0.0                 0.0                 0.0                0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0             0.0               0.0               0.0               0.0               0.0               96.0              253.0             253.0             253.0             36.0             0.0              0.0               0.0               0.0               0.0               0.0                0.0                 0.0                 0.0              0.0                0.0               0.0               0.0               0.0               0.0              0.0              0.0              0.0               0.0               0.0               0.0               0.0              34.0              246.0             253.0             253.0             176.0             4.0              0.0              0.0              0.0               0.0               0.0               0.0              0.0                 0.0               0.0                0.0                0.0               0.0               0.0              0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0               12.0              140.0             253.0             253.0             218.0             30.0             0.0              0.0               0.0               0.0              0.0              0.0              0.0                0.0                 0.0                  0.0               0.0                0.0               0.0               0.0               0.0              0.0              0.0               0.0               0.0               0.0               0.0               0.0               146.0             254.0             254.0            254.0             175.0             0.0               0.0               0.0               0.0               0.0              0.0               0.0              0.0                0.0                 0.0                  0.0              0.0                0.0                0.0               0.0               0.0               0.0               0.0              0.0               0.0              0.0               0.0               19.0              207.0             253.0            253.0             236.0             54.0              0.0               0.0              0.0              0.0               0.0              0.0              0.0               0.0               0.0                  0.0                  0.0                  0.0              0.0               0.0              0.0             0.0               0.0              0.0               0.0               0.0               0.0              18.0              209.0             253.0             253.0            253.0             72.0              0.0              0.0               0.0              0.0               0.0               0.0               0.0              0.0               0.0                0.0                 0.0                  0.0                 0.0                0.0               0.0               7.0               49.0              135.0             169.0             169.0             169.0             169.0             210.0             254.0             253.0             253.0            198.0             24.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0              0.0               0.0              0.0               0.0       0.0                  0.0              0.0               0.0              124.0            253.0             253.0            253.0            253.0             253.0             253.0             253.0             254.0             253.0             253.0             125.0             90.0              182.0             182.0             55.0             0.0              0.0               0.0              0.0               0.0               0.0                0.0                 0.0                  0.0                 0.0              0.0              19.0             231.0             253.0            253.0            253.0            253.0            253.0             253.0             253.0             254.0             253.0             253.0             253.0            253.0             253.0             253.0             184.0            7.0              0.0              0.0               0.0               0.0               0.0                0.0                 0.0                   0.0                 0.0                0.0               25.0              253.0             253.0            253.0            253.0            253.0             253.0             253.0             253.0             254.0             253.0             253.0             253.0             253.0             253.0             253.0             253.0            24.0             0.0               0.0              0.0               0.0               0.0              0.0                 0.0       0.0                 0.0              0.0               4.0              171.0             253.0            253.0            253.0            253.0             253.0             253.0             160.0             36.0              36.0              111.0             175.0            253.0             253.0             253.0             170.0           15.0              0.0               0.0             0.0               0.0               0.0                0.0                  0.0                  0.0               0.0                0.0               0.0               157.0             253.0             253.0            253.0             253.0             253.0             103.0             1.0               0.0               0.0               0.0               5.0               24.0              24.0             24.0             4.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0                0.0                  0.0                  0.0                0.0               0.0               42.0              253.0             253.0            253.0            155.0             28.0              1.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0               0.0              0.0              0.0              0.0               0.0                0.0                 0.0               0.0       0.0       0.0                0.0               0.0               0.0               0.0               0.0               0.0              0.0              0.0              0.0               0.0               0.0               0.0               0.0              0.0              0.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0                 0.0                 0.0       0.0       0.0       0.0               0.0              0.0               0.0              0.0               0.0              0.0               0.0               0.0              0.0              0.0              0.0              0.0               0.0              0.0               0.0               0.0     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             0.0              0.0                0.0                 0.0                  0.0                  0.0       0.0       0.0       0.0       0.0       0.0       0.0                 0.0                 0.0                 0.0              0.0                0.0                0.0               0.0                0.0               0.0               0.0               0.0               0.0                0.0               0.0                0.0                0.0                0.0                 0.0                 0.0                0.0       0.0       0.0       0.0       2      
5      0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0      0.0      0.0               0.0                 0.0               0.0                0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0                  0.0                  0.0                 0.0                 0.0                0.0              0.0                0.0                0.0                0.0                0.0                0.0              0.0                0.0              0.0                0.0                0.0                 0.0                 0.0                 0.0                 0.0      0.0      0.0      0.0      0.0      0.0      0.0                  0.0                0.0               0.0                 0.0             0.0              0.0               0.0               0.0             0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0                0.0                0.0                 0.0      0.0      0.0      0.0      0.0                  0.0               0.0                 0.0                0.0                0.0              0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0               0.0               0.0               0.0              0.0             0.0               0.0               0.0               0.0               0.0                0.0                 0.0                  0.0       0.0       0.0                  0.0                 0.0               0.0                0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0              0.0              0.0              0.0              0.0              0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0              0.0                 0.0       0.0       0.0                 0.0              0.0               0.0              0.0               0.0              0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0              0.0              0.0               0.0               0.0               0.0               0.0               0.0                0.0               0.0       0.0                   0.0              0.0                0.0               0.0              0.0              0.0               0.0              0.0              0.0              0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0              0.0              0.0               0.0               0.0               0.0              0.0               0.0                  0.0                 0.0                0.0               0.0              0.0              0.0               0.0               0.0               0.0              0.0               0.0              22.0              159.0             244.0             255.0             248.0             165.0             137.0             77.0              77.0             11.0              0.0               0.0               0.0              0.0               0.0              0.0                0.0                 0.0                0.0                0.0              0.0               0.0              0.0               0.0              0.0              6.0               128.0             152.0             212.0             254.0             254.0             254.0             254.0             254.0             254.0             254.0             254.0             243.0            191.0             16.0              0.0              0.0               0.0               0.0                 0.0                 0.0                0.0               0.0               0.0               0.0              0.0               0.0               0.0              89.0              254.0             254.0             205.0             122.0             37.0              26.0              26.0              28.0              116.0             218.0             254.0             254.0            181.0             7.0               0.0               0.0               0.0                0.0                 0.0                 0.0                0.0               0.0               0.0               0.0               0.0               0.0              43.0              245.0             254.0           199.0             2.0               0.0               0.0               0.0               0.0               0.0               84.0              250.0             254.0            175.0            22.0              0.0               0.0               0.0               0.0                0.0                 0.0                 0.0              0.0                0.0               0.0               0.0               0.0               30.0             181.0            254.0            207.0             17.0              0.0               0.0               0.0              0.0               0.0               51.0              236.0             254.0             222.0            39.0             0.0              0.0               0.0               0.0               0.0              0.0                 0.0               0.0                0.0                0.0               0.0               0.0              0.0               138.0            254.0             237.0             41.0              0.0               0.0               0.0               0.0               0.0               11.0              210.0             254.0             224.0            37.0             0.0               0.0               0.0              0.0              0.0              0.0                0.0                 0.0                  0.0               0.0                0.0               0.0               0.0               0.0              109.0            242.0             123.0             0.0               0.0               0.0               0.0               0.0               0.0               168.0            254.0             254.0             68.0              0.0               0.0               0.0               0.0              0.0               0.0              0.0                0.0                 0.0                  0.0              0.0                0.0                0.0               0.0               0.0               1.0               4.0              0.0               0.0              0.0               0.0               0.0               0.0               144.0            253.0             254.0             119.0             1.0               0.0              0.0              0.0               0.0              0.0              0.0               0.0               0.0                  0.0                  0.0                  0.0              0.0               0.0              0.0             0.0               0.0              0.0               0.0               0.0               0.0              0.0               0.0               115.0             251.0            254.0             145.0             6.0              0.0               0.0              0.0               0.0               0.0               0.0              0.0               0.0                0.0                 0.0                  0.0                 0.0                0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               115.0             250.0             254.0            206.0             9.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0              0.0               0.0              0.0               0.0       0.0                  0.0              0.0               0.0              0.0              0.0               0.0              0.0              0.0               0.0               0.0               88.0              245.0             254.0             217.0             31.0              0.0               0.0               0.0               0.0              0.0              0.0               0.0              0.0               0.0               0.0                0.0                 0.0                  0.0                 0.0              0.0              0.0              0.0               0.0              0.0              0.0              0.0              1.0               80.0              252.0             254.0             228.0             26.0              0.0              0.0               0.0               0.0               0.0              0.0              0.0              0.0               0.0               0.0               0.0                0.0                 0.0                   0.0                 0.0                0.0               0.0               0.0               0.0              0.0              0.0              0.0               44.0              254.0             254.0             231.0             45.0              0.0               0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0              0.0               0.0               0.0              0.0                 0.0       0.0                 0.0              0.0               0.0              0.0               0.0              0.0              0.0              15.0              232.0             254.0             254.0             47.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0             0.0               0.0               0.0             0.0               0.0               0.0                0.0                  0.0                  0.0               0.0                0.0               0.0               0.0               0.0               0.0              0.0               164.0             254.0             254.0             107.0             1.0               0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0                0.0                  0.0                  0.0                0.0               0.0               0.0               0.0               0.0              52.0             249.0             254.0             187.0             2.0               0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0               0.0              0.0              0.0              0.0               0.0                0.0                 0.0               0.0       0.0       0.0                0.0               0.0               0.0               0.0               57.0              236.0            254.0            232.0            11.0              0.0               0.0               0.0               0.0              0.0              0.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0                 0.0                 0.0       0.0       0.0       0.0               0.0              0.0               0.0              29.0              223.0            254.0             234.0             53.0             0.0              0.0              0.0              0.0               0.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0                0.0                0.0                 0.0                  0.0       0.0       0.0       0.0                  0.0                 0.0                0.0              63.0              254.0             239.0            54.0             0.0               0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0              0.0               0.0               0.0               0.0               0.0                0.0                 0.0                  0.0                  0.0       0.0       0.0       0.0       0.0                  0.0              0.0                63.0              254.0            186.0             0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0                0.0                 0.0                  0.0                  0.0       0.0       0.0       0.0       0.0       0.0       0.0                 0.0                 0.0                 0.0              0.0                0.0                0.0               0.0                0.0               0.0               0.0               0.0               0.0                0.0               0.0                0.0                0.0                0.0                 0.0                 0.0                0.0       0.0       0.0       0.0       7      
6      0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0      0.0      0.0               0.0                 0.0               0.0                0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0                  0.0                  0.0                 0.0                 0.0                0.0              0.0                0.0                0.0                0.0                0.0                0.0              0.0                0.0              0.0                0.0                0.0                 0.0                 0.0                 0.0                 0.0      0.0      0.0      0.0      0.0      0.0      0.0                  0.0                0.0               0.0                 0.0             0.0              0.0               0.0               0.0             0.0               0.0               0.0               0.0               0.0 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0.0              0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0              0.0                 0.0       0.0       0.0                 0.0              0.0               0.0              0.0               0.0              0.0               0.0               0.0               0.0              0.0               211.0             254.0             254.0             254.0             254.0             255.0            223.0            141.0            14.0              0.0               0.0               0.0               0.0               0.0                0.0               0.0       0.0                   0.0              0.0                0.0               0.0              0.0              0.0               0.0              0.0              0.0              0.0               0.0              249.0             253.0             253.0             253.0             253.0             253.0 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224.0             133.0             37.0              0.0              0.0               0.0               0.0              0.0               0.0               0.0                 0.0                 0.0                0.0               0.0               0.0               0.0              0.0               0.0               0.0              0.0               0.0               0.0               165.0             253.0             253.0             143.0             79.0              58.0              0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0                0.0                 0.0                 0.0                0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0             0.0               84.0              253.0             253.0             94.0              0.0               0.0     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    0.0               0.0               0.0               0.0              0.0              0.0               0.0              0.0              0.0               0.0               0.0                  0.0                  0.0                  0.0              0.0               0.0              0.0             0.0               0.0              0.0               0.0               0.0               0.0              0.0               249.0             253.0             205.0            8.0               0.0               0.0              0.0               0.0              0.0               0.0               0.0               0.0              0.0               0.0                0.0                 0.0                  0.0                 0.0                0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               249.0             253.0             231.0            25.0              0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0              0.0               0.0              0.0               0.0       0.0                  0.0              0.0               0.0              0.0              0.0               0.0              0.0              0.0               0.0               0.0               0.0               249.0             253.0             203.0             6.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0              0.0               0.0               0.0                0.0                 0.0                  0.0                 0.0              0.0              0.0              0.0               18.0             156.0            102.0            35.0             0.0               0.0               0.0               249.0             253.0             193.0             0.0     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 0.0               0.0              0.0              0.0               0.0               0.0              0.0              0.0              0.0               0.0                0.0                 0.0               0.0       0.0       0.0                0.0               0.0               0.0               0.0               0.0               0.0              17.0             196.0            253.0             253.0             253.0             192.0             4.0              0.0              0.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0                 0.0                 0.0       0.0       0.0       0.0               0.0              0.0               0.0              0.0               0.0              0.0               0.0               19.0             125.0            253.0            253.0            71.0              0.0              0.0               0.0               0.0     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7      0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0      0.0      0.0               0.0                 0.0               0.0                0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0                  0.0                  0.0                 0.0                 0.0                0.0              0.0                0.0                0.0                0.0                0.0                0.0              0.0                0.0              0.0                0.0                0.0                 0.0                 0.0                 0.0                 0.0      0.0      0.0      0.0      0.0      0.0      0.0                  0.0                0.0               0.0                 0.0             0.0              0.0               0.0               0.0             0.0               0.0               0.0               0.0               0.0 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254.0            210.0             118.0             35.0              0.0              0.0               0.0               0.0               0.0               0.0              0.0                 0.0       0.0       0.0                 0.0              0.0               0.0              0.0               0.0              0.0               0.0               102.0             241.0            253.0             253.0             253.0             253.0             253.0             253.0             253.0            253.0            217.0            37.0              0.0               0.0               0.0               0.0               0.0                0.0               0.0       0.0                   0.0              0.0                0.0               0.0              0.0              0.0               0.0              0.0              78.0             177.0             239.0            253.0             253.0             210.0             177.0             208.0             253.0             253.0            253.0             136.0            0.0              0.0               0.0               0.0               0.0              0.0               0.0                  0.0                 0.0                0.0               0.0              0.0              0.0               0.0               0.0               0.0              0.0               0.0              50.0              61.0              61.0              27.0              0.0               25.0              124.0             253.0             253.0            232.0             0.0               0.0               0.0              0.0               0.0              0.0                0.0                 0.0                0.0                0.0              0.0               0.0              0.0               0.0              0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               27.0              217.0             253.0             232.0            0.0               0.0               0.0              0.0               0.0               0.0                 0.0                 0.0                0.0               0.0               0.0               0.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               199.0             253.0             232.0            0.0               0.0               0.0               0.0               0.0                0.0                 0.0                 0.0                0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0             0.0               0.0               0.0               0.0               0.0               0.0               0.0               43.0              227.0             253.0            232.0            0.0               0.0               0.0               0.0               0.0                0.0                 0.0                 0.0              0.0                0.0               0.0               0.0               0.0               0.0              0.0              0.0              0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               83.0              253.0             253.0            232.0            0.0              0.0               0.0               0.0               0.0              0.0                 0.0               0.0                0.0                0.0               0.0               0.0              0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0 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    243.0             253.0             253.0             186.0            0.0              0.0               0.0              0.0              0.0               0.0               0.0                  0.0                  0.0                  0.0              0.0               0.0              9.0             58.0              225.0            253.0             253.0             253.0             253.0            253.0             253.0             244.0             165.0            208.0             253.0             253.0            198.0             26.0             0.0               0.0               0.0               0.0              0.0               0.0                0.0                 0.0                  0.0                 0.0                0.0               3.0               81.0              253.0             253.0             249.0             246.0             112.0             157.0             248.0             253.0             253.0             253.0            253.0             253.0             206.0             24.0              0.0              0.0               0.0               0.0               0.0              0.0               0.0              0.0               0.0       0.0                  0.0              0.0               163.0            253.0            253.0             169.0            53.0             0.0               0.0               0.0               69.0              253.0             253.0             253.0             253.0             253.0             170.0             0.0               0.0              0.0              0.0               0.0              0.0               0.0               0.0                0.0                 0.0                  0.0                 0.0              0.0              234.0            253.0             144.0            4.0              0.0              0.0              0.0               93.0              219.0             253.0             253.0             253.0             253.0            253.0             170.0             0.0               0.0              0.0              0.0              0.0               0.0               0.0               0.0                0.0                 0.0                   0.0                 0.0                0.0               234.0             212.0             91.0             27.0             5.0              83.0              142.0             250.0             253.0             253.0             244.0             173.0             253.0             253.0             242.0             92.0              0.0              0.0              0.0               0.0              0.0               0.0               0.0              0.0                 0.0       0.0                 0.0              0.0               234.0            253.0             253.0            217.0            202.0            253.0             253.0             253.0             253.0             181.0             48.0              2.0               122.0            250.0             253.0             206.0             19.0            0.0               0.0               0.0             0.0               0.0               0.0                0.0                  0.0                  0.0               0.0                0.0               196.0             224.0             253.0             253.0            253.0             253.0             235.0             163.0             75.0              20.0              0.0               0.0               0.0               241.0             253.0            253.0            75.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0                0.0                  0.0                  0.0                0.0               0.0               29.0              96.0              188.0            225.0            96.0              54.0              0.0               0.0               0.0               0.0               0.0               0.0               241.0            253.0            253.0             75.0              0.0              0.0              0.0              0.0               0.0                0.0                 0.0               0.0       0.0       0.0                0.0               0.0               0.0               0.0               0.0               0.0              0.0              0.0              0.0               0.0               0.0               0.0               0.0              0.0              166.0            253.0             253.0             75.0             0.0               0.0               0.0               0.0               0.0                 0.0                 0.0       0.0       0.0       0.0               0.0              0.0               0.0              0.0               0.0              0.0               0.0               0.0              0.0              0.0              0.0              0.0               0.0              0.0               0.0               0.0     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8      0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0      0.0      0.0               0.0                 0.0               0.0                0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0                  0.0                  0.0                 0.0                 0.0                0.0              0.0                0.0                0.0                0.0                0.0                0.0              0.0                0.0              0.0                0.0                0.0                 0.0                 0.0                 0.0                 0.0      0.0      0.0      0.0      0.0      0.0      0.0                  0.0                0.0               0.0                 0.0             0.0              0.0               0.0               0.0             0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0                0.0                0.0                 0.0      0.0      0.0      0.0      0.0                  0.0               0.0                 0.0                0.0                0.0              0.0               0.0               0.0               0.0               5.0              13.0             185.0             197.0             253.0             253.0             84.0             0.0             0.0               0.0               0.0               0.0               0.0                0.0                 0.0                  0.0       0.0       0.0                  0.0                 0.0               0.0                0.0               0.0               0.0               0.0               0.0               0.0              0.0               109.0             252.0            252.0            253.0            252.0            252.0            84.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0              0.0                 0.0       0.0       0.0                 0.0              0.0               0.0              0.0               0.0              0.0               0.0               0.0               128.0            239.0             252.0             252.0             253.0             231.0             141.0             32.0             0.0              0.0              0.0               0.0               0.0               0.0               0.0               0.0                0.0               0.0       0.0                   0.0              0.0                0.0               0.0              0.0              0.0               0.0              0.0              14.0             214.0             252.0            252.0             206.0             222.0             36.0              0.0               0.0               0.0              0.0               0.0              0.0              0.0               0.0               0.0               0.0              0.0               0.0                  0.0                 0.0                0.0               0.0              0.0              0.0               0.0               0.0               0.0              159.0             252.0            252.0             252.0             11.0              92.0              0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0              0.0               0.0              0.0                0.0                 0.0                0.0                0.0              0.0               0.0              0.0               0.0              0.0              47.0              238.0             252.0             252.0             134.0             3.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0              0.0               0.0               0.0                 0.0                 0.0                0.0               0.0               0.0               0.0              0.0               0.0               0.0              158.0             252.0             252.0             173.0             5.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0                0.0                 0.0                 0.0                0.0               0.0               0.0               0.0               0.0               0.0              19.0              208.0             252.0           220.0             97.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0               0.0               0.0               0.0                0.0                 0.0                 0.0              0.0                0.0               0.0               0.0               0.0               0.0              49.0             252.0            252.0             167.0             0.0               0.0               53.0             53.0              0.0               0.0               0.0               0.0               0.0              0.0              0.0              0.0               0.0               0.0               0.0              0.0                 0.0               0.0                0.0                0.0               0.0               0.0              0.0               0.0              49.0              252.0             252.0             208.0             167.0             241.0             246.0             248.0             241.0             224.0             40.0              0.0              0.0              0.0               0.0               0.0              0.0              0.0              0.0                0.0                 0.0                  0.0               0.0                0.0               0.0               0.0               0.0              0.0              107.0             253.0             253.0             253.0             253.0             253.0             253.0             255.0             253.0            253.0             253.0             167.0             32.0              0.0               0.0               0.0              0.0               0.0              0.0                0.0                 0.0                  0.0              0.0                0.0                0.0               0.0               0.0               0.0               49.0             252.0             252.0            252.0             252.0             252.0             241.0             253.0            252.0             252.0             252.0             252.0             71.0             0.0              0.0               0.0              0.0              0.0               0.0               0.0                  0.0                  0.0                  0.0              0.0               0.0              0.0             0.0               0.0              49.0              252.0             252.0             199.0            96.0              96.0              50.0              104.0            252.0             252.0             252.0            252.0             190.0            7.0               0.0               0.0               0.0              0.0               0.0                0.0                 0.0                  0.0                 0.0                0.0               0.0               0.0               0.0               0.0               49.0              252.0             252.0             184.0             7.0               0.0               0.0               4.0              84.0              188.0             252.0             252.0             252.0            48.0              0.0               0.0               0.0              0.0               0.0              0.0               0.0       0.0                  0.0              0.0               0.0              0.0              0.0               0.0              49.0             252.0             252.0             252.0             64.0              0.0               0.0               0.0               0.0               157.0             252.0             252.0             252.0            48.0             0.0               0.0              0.0               0.0               0.0                0.0                 0.0                  0.0                 0.0              0.0              0.0              0.0               0.0              0.0              12.0             163.0            252.0             252.0             229.0             53.0              0.0               10.0              193.0            230.0             252.0             252.0             197.0            12.0             0.0              0.0               0.0               0.0               0.0                0.0                 0.0                   0.0                 0.0                0.0               0.0               0.0               0.0              0.0              0.0              41.0              232.0             252.0             252.0             232.0             205.0             208.0             252.0             252.0             252.0             252.0             82.0             0.0              0.0               0.0              0.0               0.0               0.0              0.0                 0.0       0.0                 0.0              0.0               0.0              0.0               0.0              0.0              0.0              0.0               120.0             188.0             252.0             252.0             252.0             253.0             252.0            252.0             252.0             154.0             9.0             0.0               0.0               0.0             0.0               0.0               0.0                0.0                  0.0                  0.0               0.0                0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               49.0              237.0             252.0             252.0             253.0             252.0             236.0             121.0            7.0              0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0                0.0                  0.0                  0.0                0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0               0.0               159.0             142.0             189.0             132.0             121.0             10.0             0.0              0.0               0.0               0.0              0.0              0.0              0.0               0.0                0.0                 0.0               0.0       0.0       0.0                0.0               0.0               0.0               0.0               0.0               0.0              0.0              0.0              0.0               0.0               0.0               0.0               0.0              0.0              0.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0                 0.0                 0.0       0.0       0.0       0.0               0.0              0.0               0.0              0.0               0.0              0.0               0.0               0.0              0.0              0.0              0.0              0.0               0.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0                0.0                0.0                 0.0                  0.0       0.0       0.0       0.0                  0.0                 0.0                0.0              0.0               0.0               0.0              0.0              0.0               0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0              0.0               0.0               0.0               0.0               0.0                0.0                 0.0                  0.0                  0.0       0.0       0.0       0.0       0.0                  0.0              0.0                0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0                0.0                 0.0                  0.0                  0.0       0.0       0.0       0.0       0.0       0.0       0.0                 0.0                 0.0                 0.0              0.0                0.0                0.0               0.0                0.0               0.0               0.0               0.0               0.0                0.0               0.0                0.0                0.0                0.0                 0.0                 0.0                0.0       0.0       0.0       0.0       6      
9      0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0     0.0      0.0      0.0               0.0                 0.0               0.0                0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0      0.0                  0.0                  0.0                 0.0                 0.0                0.0              0.0                0.0                0.0                0.0                0.0                0.0              0.0                0.0              0.0                0.0                0.0                 0.0                 0.0                 0.0                 0.0      0.0      0.0      0.0      0.0      0.0      0.0                  0.0                0.0               0.0                 0.0             0.0              0.0               0.0               0.0             0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0                0.0                0.0                 0.0      0.0      0.0      0.0      0.0                  0.0               0.0                 0.0                0.0                0.0              0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0               0.0               0.0               0.0              0.0             0.0               0.0               0.0               0.0               0.0                0.0                 0.0                  0.0       0.0       0.0                  0.0                 0.0               0.0                0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0              0.0              0.0              0.0              0.0              0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0              0.0                 0.0       0.0       0.0                 0.0              0.0               0.0              0.0               0.0              0.0               0.0               0.0               19.0             29.0              128.0             204.0             228.0             104.0             4.0               0.0              0.0              0.0              0.0               0.0               7.0               79.0              4.0               0.0                0.0               0.0       0.0                   0.0              0.0                0.0               0.0              0.0              0.0               0.0              0.0              45.0             225.0             252.0            252.0             253.0             252.0             252.0             28.0              0.0               0.0              0.0               0.0              19.0             187.0             252.0             28.0              0.0              0.0               0.0                  0.0                 0.0                0.0               0.0              0.0              0.0               0.0               0.0               89.0             229.0             252.0            252.0             252.0             253.0             252.0             252.0             65.0              0.0               0.0               0.0              38.0              204.0             252.0             252.0            28.0              0.0              0.0                0.0                 0.0                0.0                0.0              0.0               0.0              0.0               0.0              38.0             225.0             253.0             252.0             252.0             252.0             253.0             252.0             252.0             90.0              0.0               0.0               89.0              225.0            253.0             252.0             214.0            15.0              0.0               0.0                 0.0                 0.0                0.0               0.0               0.0               0.0              0.0               0.0               198.0            253.0             255.0             253.0             253.0             228.0             226.0             200.0             163.0             25.0              41.0              216.0             253.0             253.0            254.0             247.0             50.0              0.0               0.0                0.0                 0.0                 0.0                0.0               0.0               0.0               0.0               0.0               26.0             222.0             252.0             253.0           252.0             121.0             9.0               0.0               0.0               19.0              144.0             253.0             252.0             252.0            252.0            253.0             121.0             0.0               0.0               0.0                0.0                 0.0                 0.0              0.0                0.0               0.0               0.0               0.0               19.0             215.0            252.0            253.0             208.0             13.0              0.0               0.0              57.0              191.0             252.0             253.0             252.0             252.0            252.0            194.0            19.0              0.0               0.0               0.0              0.0                 0.0               0.0                0.0                0.0               0.0               0.0              0.0               32.0             228.0             252.0             253.0             246.0             137.0             113.0             226.0             243.0             252.0             252.0             253.0             252.0            252.0            202.0             63.0              0.0              0.0              0.0              0.0                0.0                 0.0                  0.0               0.0                0.0               0.0               0.0               0.0              0.0              126.0             250.0             254.0             253.0             253.0             253.0             254.0             253.0             253.0            253.0             254.0             234.0             187.0             63.0              0.0               0.0              0.0               0.0              0.0                0.0                 0.0                  0.0              0.0                0.0                0.0               0.0               0.0               0.0               0.0              150.0             253.0            252.0             252.0             252.0             253.0             252.0            252.0             177.0             84.0              28.0              0.0              0.0              0.0               0.0              0.0              0.0               0.0               0.0                  0.0                  0.0                  0.0              0.0               0.0              0.0             0.0               0.0              0.0               113.0             253.0             252.0            252.0             252.0             253.0             252.0            252.0             139.0             0.0              0.0               0.0              0.0               0.0               0.0               0.0              0.0               0.0                0.0                 0.0                  0.0                 0.0                0.0               0.0               0.0               0.0               0.0               89.0              225.0             253.0             252.0             252.0             252.0             253.0             252.0            252.0             240.0             51.0              0.0               0.0              0.0               0.0               0.0               0.0              0.0               0.0              0.0               0.0       0.0                  0.0              0.0               0.0              0.0              0.0               32.0             229.0            253.0             254.0             247.0             137.0             63.0              13.0              188.0             247.0             253.0             126.0             0.0               0.0              0.0              0.0               0.0              0.0               0.0               0.0                0.0                 0.0                  0.0                 0.0              0.0              0.0              0.0               0.0              82.0             252.0            252.0            247.0             152.0             0.0               0.0               0.0               13.0              209.0            252.0             225.0             0.0               0.0              0.0              0.0              0.0               0.0               0.0               0.0                0.0                 0.0                   0.0                 0.0                0.0               0.0               0.0               23.0             234.0            252.0            252.0             187.0             0.0               0.0               0.0               98.0              209.0             252.0             252.0             187.0             0.0               0.0              0.0              0.0               0.0              0.0               0.0               0.0              0.0                 0.0       0.0                 0.0              0.0               0.0              0.0               128.0            252.0            252.0            252.0             175.0             113.0             150.0             225.0             253.0             252.0             252.0            252.0             13.0              0.0               0.0             0.0               0.0               0.0             0.0               0.0               0.0                0.0                  0.0                  0.0               0.0                0.0               0.0               0.0               141.0             253.0            253.0             253.0             254.0             253.0             253.0             253.0             254.0             253.0             244.0             125.0             0.0              0.0              0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0                0.0                  0.0                  0.0                0.0               0.0               0.0               116.0             252.0            252.0            252.0             253.0             252.0             252.0             252.0             253.0             240.0             81.0              0.0              0.0              0.0               0.0               0.0              0.0              0.0              0.0               0.0                0.0                 0.0               0.0       0.0       0.0                0.0               0.0               0.0               19.0              224.0             252.0            252.0            253.0            252.0             252.0             252.0             244.0             81.0             0.0              0.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0                 0.0                 0.0       0.0       0.0       0.0               0.0              0.0               0.0              0.0               19.0             28.0              128.0             153.0            252.0            164.0            90.0             25.0              0.0              0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0                0.0                0.0                 0.0                  0.0       0.0       0.0       0.0                  0.0                 0.0                0.0              0.0               0.0               0.0              0.0              0.0               0.0               0.0               0.0               0.0               0.0              0.0              0.0               0.0              0.0               0.0               0.0               0.0               0.0                0.0                 0.0                  0.0                  0.0       0.0       0.0       0.0       0.0                  0.0              0.0                0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0              0.0               0.0               0.0               0.0               0.0               0.0               0.0               0.0              0.0                0.0                 0.0                  0.0                  0.0       0.0       0.0       0.0       0.0       0.0       0.0                 0.0                 0.0                 0.0              0.0                0.0                0.0               0.0                0.0               0.0               0.0               0.0               0.0                0.0               0.0                0.0                0.0                0.0                 0.0                 0.0                0.0       0.0       0.0       0.0       8



In [8]:

    
# split into 40% training, 30% validation, and 30% test
train, valid = train.split_frame([0.8])



In [9]:

    
# assign target and inputs
y = 'label'
X = [name for name in train.columns if name != y]
print(y)
print(X)









    



label
['pixel0', 'pixel1', 'pixel2', 'pixel3', 'pixel4', 'pixel5', 'pixel6', 'pixel7', 'pixel8', 'pixel9', 'pixel10', 'pixel11', 'pixel12', 'pixel13', 'pixel14', 'pixel15', 'pixel16', 'pixel17', 'pixel18', 'pixel19', 'pixel20', 'pixel21', 'pixel22', 'pixel23', 'pixel24', 'pixel25', 'pixel26', 'pixel27', 'pixel28', 'pixel29', 'pixel30', 'pixel31', 'pixel32', 'pixel33', 'pixel34', 'pixel35', 'pixel36', 'pixel37', 'pixel38', 'pixel39', 'pixel40', 'pixel41', 'pixel42', 'pixel43', 'pixel44', 'pixel45', 'pixel46', 'pixel47', 'pixel48', 'pixel49', 'pixel50', 'pixel51', 'pixel52', 'pixel53', 'pixel54', 'pixel55', 'pixel56', 'pixel57', 'pixel58', 'pixel59', 'pixel60', 'pixel61', 'pixel62', 'pixel63', 'pixel64', 'pixel65', 'pixel66', 'pixel67', 'pixel68', 'pixel69', 'pixel70', 'pixel71', 'pixel72', 'pixel73', 'pixel74', 'pixel75', 'pixel76', 'pixel77', 'pixel78', 'pixel79', 'pixel80', 'pixel81', 'pixel82', 'pixel83', 'pixel84', 'pixel85', 'pixel86', 'pixel87', 'pixel88', 'pixel89', 'pixel90', 'pixel91', 'pixel92', 'pixel93', 'pixel94', 'pixel95', 'pixel96', 'pixel97', 'pixel98', 'pixel99', 'pixel100', 'pixel101', 'pixel102', 'pixel103', 'pixel104', 'pixel105', 'pixel106', 'pixel107', 'pixel108', 'pixel109', 'pixel110', 'pixel111', 'pixel112', 'pixel113', 'pixel114', 'pixel115', 'pixel116', 'pixel117', 'pixel118', 'pixel119', 'pixel120', 'pixel121', 'pixel122', 'pixel123', 'pixel124', 'pixel125', 'pixel126', 'pixel127', 'pixel128', 'pixel129', 'pixel130', 'pixel131', 'pixel132', 'pixel133', 'pixel134', 'pixel135', 'pixel136', 'pixel137', 'pixel138', 'pixel139', 'pixel140', 'pixel141', 'pixel142', 'pixel143', 'pixel144', 'pixel145', 'pixel146', 'pixel147', 'pixel148', 'pixel149', 'pixel150', 'pixel151', 'pixel152', 'pixel153', 'pixel154', 'pixel155', 'pixel156', 'pixel157', 'pixel158', 'pixel159', 'pixel160', 'pixel161', 'pixel162', 'pixel163', 'pixel164', 'pixel165', 'pixel166', 'pixel167', 'pixel168', 'pixel169', 'pixel170', 'pixel171', 'pixel172', 'pixel173', 'pixel174', 'pixel175', 'pixel176', 'pixel177', 'pixel178', 'pixel179', 'pixel180', 'pixel181', 'pixel182', 'pixel183', 'pixel184', 'pixel185', 'pixel186', 'pixel187', 'pixel188', 'pixel189', 'pixel190', 'pixel191', 'pixel192', 'pixel193', 'pixel194', 'pixel195', 'pixel196', 'pixel197', 'pixel198', 'pixel199', 'pixel200', 'pixel201', 'pixel202', 'pixel203', 'pixel204', 'pixel205', 'pixel206', 'pixel207', 'pixel208', 'pixel209', 'pixel210', 'pixel211', 'pixel212', 'pixel213', 'pixel214', 'pixel215', 'pixel216', 'pixel217', 'pixel218', 'pixel219', 'pixel220', 'pixel221', 'pixel222', 'pixel223', 'pixel224', 'pixel225', 'pixel226', 'pixel227', 'pixel228', 'pixel229', 'pixel230', 'pixel231', 'pixel232', 'pixel233', 'pixel234', 'pixel235', 'pixel236', 'pixel237', 'pixel238', 'pixel239', 'pixel240', 'pixel241', 'pixel242', 'pixel243', 'pixel244', 'pixel245', 'pixel246', 'pixel247', 'pixel248', 'pixel249', 'pixel250', 'pixel251', 'pixel252', 'pixel253', 'pixel254', 'pixel255', 'pixel256', 'pixel257', 'pixel258', 'pixel259', 'pixel260', 'pixel261', 'pixel262', 'pixel263', 'pixel264', 'pixel265', 'pixel266', 'pixel267', 'pixel268', 'pixel269', 'pixel270', 'pixel271', 'pixel272', 'pixel273', 'pixel274', 'pixel275', 'pixel276', 'pixel277', 'pixel278', 'pixel279', 'pixel280', 'pixel281', 'pixel282', 'pixel283', 'pixel284', 'pixel285', 'pixel286', 'pixel287', 'pixel288', 'pixel289', 'pixel290', 'pixel291', 'pixel292', 'pixel293', 'pixel294', 'pixel295', 'pixel296', 'pixel297', 'pixel298', 'pixel299', 'pixel300', 'pixel301', 'pixel302', 'pixel303', 'pixel304', 'pixel305', 'pixel306', 'pixel307', 'pixel308', 'pixel309', 'pixel310', 'pixel311', 'pixel312', 'pixel313', 'pixel314', 'pixel315', 'pixel316', 'pixel317', 'pixel318', 'pixel319', 'pixel320', 'pixel321', 'pixel322', 'pixel323', 'pixel324', 'pixel325', 'pixel326', 'pixel327', 'pixel328', 'pixel329', 'pixel330', 'pixel331', 'pixel332', 'pixel333', 'pixel334', 'pixel335', 'pixel336', 'pixel337', 'pixel338', 'pixel339', 'pixel340', 'pixel341', 'pixel342', 'pixel343', 'pixel344', 'pixel345', 'pixel346', 'pixel347', 'pixel348', 'pixel349', 'pixel350', 'pixel351', 'pixel352', 'pixel353', 'pixel354', 'pixel355', 'pixel356', 'pixel357', 'pixel358', 'pixel359', 'pixel360', 'pixel361', 'pixel362', 'pixel363', 'pixel364', 'pixel365', 'pixel366', 'pixel367', 'pixel368', 'pixel369', 'pixel370', 'pixel371', 'pixel372', 'pixel373', 'pixel374', 'pixel375', 'pixel376', 'pixel377', 'pixel378', 'pixel379', 'pixel380', 'pixel381', 'pixel382', 'pixel383', 'pixel384', 'pixel385', 'pixel386', 'pixel387', 'pixel388', 'pixel389', 'pixel390', 'pixel391', 'pixel392', 'pixel393', 'pixel394', 'pixel395', 'pixel396', 'pixel397', 'pixel398', 'pixel399', 'pixel400', 'pixel401', 'pixel402', 'pixel403', 'pixel404', 'pixel405', 'pixel406', 'pixel407', 'pixel408', 'pixel409', 'pixel410', 'pixel411', 'pixel412', 'pixel413', 'pixel414', 'pixel415', 'pixel416', 'pixel417', 'pixel418', 'pixel419', 'pixel420', 'pixel421', 'pixel422', 'pixel423', 'pixel424', 'pixel425', 'pixel426', 'pixel427', 'pixel428', 'pixel429', 'pixel430', 'pixel431', 'pixel432', 'pixel433', 'pixel434', 'pixel435', 'pixel436', 'pixel437', 'pixel438', 'pixel439', 'pixel440', 'pixel441', 'pixel442', 'pixel443', 'pixel444', 'pixel445', 'pixel446', 'pixel447', 'pixel448', 'pixel449', 'pixel450', 'pixel451', 'pixel452', 'pixel453', 'pixel454', 'pixel455', 'pixel456', 'pixel457', 'pixel458', 'pixel459', 'pixel460', 'pixel461', 'pixel462', 'pixel463', 'pixel464', 'pixel465', 'pixel466', 'pixel467', 'pixel468', 'pixel469', 'pixel470', 'pixel471', 'pixel472', 'pixel473', 'pixel474', 'pixel475', 'pixel476', 'pixel477', 'pixel478', 'pixel479', 'pixel480', 'pixel481', 'pixel482', 'pixel483', 'pixel484', 'pixel485', 'pixel486', 'pixel487', 'pixel488', 'pixel489', 'pixel490', 'pixel491', 'pixel492', 'pixel493', 'pixel494', 'pixel495', 'pixel496', 'pixel497', 'pixel498', 'pixel499', 'pixel500', 'pixel501', 'pixel502', 'pixel503', 'pixel504', 'pixel505', 'pixel506', 'pixel507', 'pixel508', 'pixel509', 'pixel510', 'pixel511', 'pixel512', 'pixel513', 'pixel514', 'pixel515', 'pixel516', 'pixel517', 'pixel518', 'pixel519', 'pixel520', 'pixel521', 'pixel522', 'pixel523', 'pixel524', 'pixel525', 'pixel526', 'pixel527', 'pixel528', 'pixel529', 'pixel530', 'pixel531', 'pixel532', 'pixel533', 'pixel534', 'pixel535', 'pixel536', 'pixel537', 'pixel538', 'pixel539', 'pixel540', 'pixel541', 'pixel542', 'pixel543', 'pixel544', 'pixel545', 'pixel546', 'pixel547', 'pixel548', 'pixel549', 'pixel550', 'pixel551', 'pixel552', 'pixel553', 'pixel554', 'pixel555', 'pixel556', 'pixel557', 'pixel558', 'pixel559', 'pixel560', 'pixel561', 'pixel562', 'pixel563', 'pixel564', 'pixel565', 'pixel566', 'pixel567', 'pixel568', 'pixel569', 'pixel570', 'pixel571', 'pixel572', 'pixel573', 'pixel574', 'pixel575', 'pixel576', 'pixel577', 'pixel578', 'pixel579', 'pixel580', 'pixel581', 'pixel582', 'pixel583', 'pixel584', 'pixel585', 'pixel586', 'pixel587', 'pixel588', 'pixel589', 'pixel590', 'pixel591', 'pixel592', 'pixel593', 'pixel594', 'pixel595', 'pixel596', 'pixel597', 'pixel598', 'pixel599', 'pixel600', 'pixel601', 'pixel602', 'pixel603', 'pixel604', 'pixel605', 'pixel606', 'pixel607', 'pixel608', 'pixel609', 'pixel610', 'pixel611', 'pixel612', 'pixel613', 'pixel614', 'pixel615', 'pixel616', 'pixel617', 'pixel618', 'pixel619', 'pixel620', 'pixel621', 'pixel622', 'pixel623', 'pixel624', 'pixel625', 'pixel626', 'pixel627', 'pixel628', 'pixel629', 'pixel630', 'pixel631', 'pixel632', 'pixel633', 'pixel634', 'pixel635', 'pixel636', 'pixel637', 'pixel638', 'pixel639', 'pixel640', 'pixel641', 'pixel642', 'pixel643', 'pixel644', 'pixel645', 'pixel646', 'pixel647', 'pixel648', 'pixel649', 'pixel650', 'pixel651', 'pixel652', 'pixel653', 'pixel654', 'pixel655', 'pixel656', 'pixel657', 'pixel658', 'pixel659', 'pixel660', 'pixel661', 'pixel662', 'pixel663', 'pixel664', 'pixel665', 'pixel666', 'pixel667', 'pixel668', 'pixel669', 'pixel670', 'pixel671', 'pixel672', 'pixel673', 'pixel674', 'pixel675', 'pixel676', 'pixel677', 'pixel678', 'pixel679', 'pixel680', 'pixel681', 'pixel682', 'pixel683', 'pixel684', 'pixel685', 'pixel686', 'pixel687', 'pixel688', 'pixel689', 'pixel690', 'pixel691', 'pixel692', 'pixel693', 'pixel694', 'pixel695', 'pixel696', 'pixel697', 'pixel698', 'pixel699', 'pixel700', 'pixel701', 'pixel702', 'pixel703', 'pixel704', 'pixel705', 'pixel706', 'pixel707', 'pixel708', 'pixel709', 'pixel710', 'pixel711', 'pixel712', 'pixel713', 'pixel714', 'pixel715', 'pixel716', 'pixel717', 'pixel718', 'pixel719', 'pixel720', 'pixel721', 'pixel722', 'pixel723', 'pixel724', 'pixel725', 'pixel726', 'pixel727', 'pixel728', 'pixel729', 'pixel730', 'pixel731', 'pixel732', 'pixel733', 'pixel734', 'pixel735', 'pixel736', 'pixel737', 'pixel738', 'pixel739', 'pixel740', 'pixel741', 'pixel742', 'pixel743', 'pixel744', 'pixel745', 'pixel746', 'pixel747', 'pixel748', 'pixel749', 'pixel750', 'pixel751', 'pixel752', 'pixel753', 'pixel754', 'pixel755', 'pixel756', 'pixel757', 'pixel758', 'pixel759', 'pixel760', 'pixel761', 'pixel762', 'pixel763', 'pixel764', 'pixel765', 'pixel766', 'pixel767', 'pixel768', 'pixel769', 'pixel770', 'pixel771', 'pixel772', 'pixel773', 'pixel774', 'pixel775', 'pixel776', 'pixel777', 'pixel778', 'pixel779', 'pixel780', 'pixel781', 'pixel782', 'pixel783']



In [10]:

    
# set target to factor - for multinomial classification
train[y] = train[y].asfactor()
valid[y] = valid[y].asfactor()

Train MLP using random grid search



In [11]:

    
# NN with random hyperparameter search
# train many different NN models with random hyperparameters
# and select best model based on validation error

# define random grid search parameters
hyper_parameters = {'hidden': [[500, 500], [250, 250, 250, 250], [1000, 500], [500, 1000], [1000, 500, 250], [1000, 1000]],
                    'l1':[s/1e4 for s in range(0, 1000, 100)],
                    'l2':[s/1e5 for s in range(0, 1000, 100)],
                    'input_dropout_ratio':[s/1e2 for s in range(0, 20, 2)]}

# define search strategy
search_criteria = {'strategy':'RandomDiscrete',
                   'max_models':100,
                   'max_runtime_secs':60000}

# initialize grid search
gsearch = H2OGridSearch(H2ODeepLearningEstimator,
                        hyper_params=hyper_parameters,
                        search_criteria=search_criteria)

# execute training w/ grid search
gsearch.train(x=X,
              y=y,
              training_frame=train,
              validation_frame=valid, 
              activation='RectifierWithDropout', 
              epochs=8000, 
              stopping_rounds=20,
              sparse=True, # handles data w/ many zeros more efficiently                     
              ignore_const_cols=True,              
              adaptive_rate=True)

# view detailed results at http://host:ip/flow/index.html









    



deeplearning Grid Build progress: |███████████████████████████████████████| 100%

Select best model



In [12]:

    
# show grid search results
gsearch.show()

# select best model
mnist_model = gsearch.get_grid()[0]

# print model information
mnist_model

# hit-ratio = ((TP + TN)/(TP + TN + FP + FN)), for two-classes









    



                    hidden input_dropout_ratio    l1     l2  \
0              [500, 1000]                0.02   0.0  0.004   
1     [250, 250, 250, 250]                0.12   0.0  0.005   
2     [250, 250, 250, 250]                0.14   0.0  0.004   
3               [500, 500]                0.04  0.01  0.001   
4             [1000, 1000]                0.08  0.01  0.007   
5              [1000, 500]                 0.1  0.05  0.003   
6               [500, 500]                0.04  0.05  0.006   
7              [1000, 500]                 0.1  0.07  0.009   
8             [1000, 1000]                0.02  0.05  0.008   
9               [500, 500]                0.08  0.08  0.006   
10             [1000, 500]                0.16  0.09  0.009   
11              [500, 500]                0.12  0.05  0.004   
12             [500, 1000]                0.14  0.07  0.006   
13        [1000, 500, 250]                0.12  0.05    0.0   
14        [1000, 500, 250]                0.18  0.04  0.005   
15    [250, 250, 250, 250]                0.06  0.09  0.002   
16    [250, 250, 250, 250]                0.08  0.05  0.004   
17    [250, 250, 250, 250]                0.04  0.04  0.001   
18            [1000, 1000]                0.02  0.06  0.004   

                                                                model_ids  \
0    Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_5   
1   Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_10   
2    Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_0   
3    Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_6   
4   Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_17   
5   Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_13   
6    Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_8   
7    Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_3   
8   Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_12   
9    Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_7   
10   Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_4   
11  Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_15   
12   Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_1   
13  Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_14   
14   Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_2   
15  Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_16   
16  Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_11   
17   Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_9   
18  Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_18   

                logloss  
0    0.0813791957775858  
1   0.10150189183448939  
2   0.10219182732179348  
3   0.22270926824856263  
4   0.23666966039908877  
5    2.2672589076179572  
6      2.29792389877742  
7     2.298302732871996  
8    2.3010391061790467  
9     2.302220573253344  
10    2.302367211172909  
11   2.3025250080345563  
12    2.302676933140575  
13    2.306021931640824  
14   2.3381326424124413  
15    2.349169147514861  
16   2.3560493101302833  
17      2.3696788315812  
18   2.6079328484740665  
Model Details
=============
H2ODeepLearningEstimator :  Deep Learning
Model Key:  Grid_DeepLearning_py_5_sid_a4f7_model_python_1527827232201_1_model_5


ModelMetricsMultinomial: deeplearning
** Reported on train data. **

MSE: 0.003027974960375359
RMSE: 0.05502703844816073
LogLoss: 0.012548114077993484
Mean Per-Class Error: 0.0030595719228275484
Confusion Matrix: Row labels: Actual class; Column labels: Predicted class







    




0
1
2
3
4
5
6
7
8
9
Error
Rate
951.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0 / 951
0.0
1119.0
1.0
0.0
0.0
0.0
0.0
0.0
1.0
0.0
0.0017841
2 / 1,121
0.0
0.0
967.0
1.0
2.0
0.0
0.0
2.0
1.0
0.0
0.0061665
6 / 973
0.0
0.0
0.0
990.0
0.0
0.0
0.0
3.0
0.0
1.0
0.0040241
4 / 994
0.0
1.0
0.0
0.0
925.0
0.0
0.0
0.0
1.0
2.0
0.0043057
4 / 929
0.0
0.0
1.0
1.0
0.0
892.0
0.0
0.0
1.0
0.0
0.0033520
3 / 895
3.0
0.0
0.0
0.0
0.0
1.0
1011.0
0.0
0.0
0.0
0.0039409
4 / 1,015
0.0
0.0
0.0
0.0
0.0
0.0
0.0
1035.0
0.0
0.0
0.0
0 / 1,035
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
1013.0
1.0
0.0009862
1 / 1,014
1.0
0.0
0.0
2.0
0.0
0.0
0.0
2.0
1.0
988.0
0.0060362
6 / 994
955.0
1120.0
969.0
994.0
927.0
893.0
1011.0
1042.0
1018.0
992.0
0.0030239
30 / 9,921






    



Top-10 Hit Ratios: 






    




k
hit_ratio
1
0.9969761
2
0.9993952
3
0.9998992
4
1.0
5
1.0
6
1.0
7
1.0
8
1.0
9
1.0
10
1.0






    



ModelMetricsMultinomial: deeplearning
** Reported on validation data. **

MSE: 0.018297410138058034
RMSE: 0.13526791984080347
LogLoss: 0.0813791957775858
Mean Per-Class Error: 0.020746734154994634
Confusion Matrix: Row labels: Actual class; Column labels: Predicted class







    




0
1
2
3
4
5
6
7
8
9
Error
Rate
1166.0
1.0
1.0
0.0
0.0
2.0
7.0
2.0
1.0
0.0
0.0118644
14 / 1,180
0.0
1320.0
3.0
5.0
0.0
0.0
0.0
1.0
3.0
0.0
0.0090090
12 / 1,332
1.0
1.0
1205.0
4.0
3.0
0.0
3.0
9.0
5.0
0.0
0.0211210
26 / 1,231
0.0
2.0
6.0
1235.0
0.0
3.0
0.0
6.0
14.0
2.0
0.0260252
33 / 1,268
1.0
2.0
2.0
0.0
1124.0
2.0
6.0
5.0
3.0
9.0
0.0259965
30 / 1,154
2.0
1.0
1.0
14.0
1.0
1108.0
3.0
2.0
6.0
2.0
0.0280702
32 / 1,140
2.0
5.0
0.0
0.0
2.0
5.0
1139.0
0.0
5.0
0.0
0.0164076
19 / 1,158
0.0
2.0
4.0
0.0
2.0
0.0
0.0
1220.0
2.0
7.0
0.0137429
17 / 1,237
1.0
5.0
1.0
8.0
0.0
3.0
6.0
2.0
1113.0
2.0
0.0245399
28 / 1,141
2.0
2.0
0.0
3.0
6.0
6.0
0.0
12.0
5.0
1137.0
0.0306905
36 / 1,173
1175.0
1341.0
1223.0
1269.0
1138.0
1129.0
1164.0
1259.0
1157.0
1159.0
0.0205593
247 / 12,014






    



Top-10 Hit Ratios: 






    




k
hit_ratio
1
0.9794406
2
0.9946728
3
0.9975029
4
0.9988347
5
0.9995838
6
0.9997503
7
0.9998335
8
0.9999167
9
0.9999167
10
0.9999999






    



Scoring History: 






    





timestamp
duration
training_speed
epochs
iterations
samples
training_rmse
training_logloss
training_classification_error
validation_rmse
validation_logloss
validation_classification_error

2018-06-01 05:52:33
 0.000 sec
None
0.0
0
0.0
nan
nan
nan
nan
nan
nan

2018-06-01 05:52:38
 5:25:25.436
1460 obs/sec
0.1274955
1
6118.0
0.3137048
0.4365653
0.1170245
0.3145291
0.4460997
0.1158648

2018-06-01 05:53:56
 5:26:44.271
1727 obs/sec
2.6926812
21
129211.0
0.1666627
0.1013986
0.0307429
0.1846801
0.1244377
0.0388713

2018-06-01 05:55:20
 5:28:08.118
1874 obs/sec
5.8930313
46
282783.0
0.1312903
0.0650657
0.0191513
0.1595478
0.0988074
0.0293824

2018-06-01 05:56:41
 5:29:27.546
1925 obs/sec
8.9644896
70
430170.0
0.1126705
0.0469285
0.0146155
0.1513525
0.0896927
0.0258032
---
---
---
---
---
---
---
---
---
---
---
---
---

2018-06-01 06:45:55
 6:18:42.777
2142 obs/sec
128.9778685
1003
6189132.0
0.0491715
0.0095191
0.0027215
0.1344723
0.0871130
0.0207258

2018-06-01 06:47:12
 6:19:59.755
2144 obs/sec
132.1793648
1028
6342759.0
0.0421763
0.0080966
0.0012096
0.1362132
0.0858401
0.0211420

2018-06-01 06:48:33
 6:21:20.221
2151 obs/sec
135.8990747
1057
6521253.0
0.0463655
0.0089080
0.0021167
0.1357118
0.0866437
0.0204761

2018-06-01 06:49:46
 6:22:33.912
2153 obs/sec
138.9794523
1081
6669068.0
0.0442301
0.0082408
0.0024191
0.1330820
0.0849904
0.0193940

2018-06-01 06:49:54
 6:22:40.802
2153 obs/sec
138.9794523
1081
6669068.0
0.0550270
0.0125481
0.0030239
0.1352679
0.0813792
0.0205593






    



See the whole table with table.as_data_frame()
Variable Importances: 






    




variable
relative_importance
scaled_importance
percentage
pixel293
1.0
1.0
0.0019564
pixel294
0.9432160
0.9432160
0.0018453
pixel349
0.9159057
0.9159057
0.0017918
pixel322
0.9067742
0.9067742
0.0017740
pixel515
0.9033036
0.9033036
0.0017672
---
---
---
---
pixel601
0.5004087
0.5004087
0.0009790
pixel574
0.4984325
0.4984325
0.0009751
pixel628
0.4927354
0.4927354
0.0009640
pixel658
0.4925828
0.4925828
0.0009637
pixel629
0.4697497
0.4697497
0.0009190






    



See the whole table with table.as_data_frame()






    Out[12]:

Best known H2O MLP for MNIST

Can you train it?



In [13]:

    
"""

best_model = H2ODeepLearningEstimator(
                activation = 'RectifierWithDropout', 
                hidden = [1024,1024,2048],
                epochs = 8000, 
                l1 = 1e-5, 
                input_dropout_ratio = 0.2,
                train_samples_per_iteration = -1, 
                classification_stop = -1)
                
"""









    Out[13]:





"\n\nbest_model = H2ODeepLearningEstimator(\n                activation = 'RectifierWithDropout', \n                hidden = [1024,1024,2048],\n                epochs = 8000, \n                l1 = 1e-5, \n                input_dropout_ratio = 0.2,\n                train_samples_per_iteration = -1, \n                classification_stop = -1)\n                \n"

Create Submission



In [15]:

    
"""
# create time stamp
import re
import time
time_stamp = re.sub('[: ]', '_', time.asctime())

# score unlabeled test data
sub = mnist_model.predict(test)

# save file for submission
sub = sub['predict']

import numpy as np # create ID column
sub = h2o.H2OFrame(np.arange(1, 28001)).cbind(sub) 

sub.columns = ['ImageId', 'Label']

print(sub.head())

sub_fname = '../data/submission_' + str(time_stamp) + '.csv'
h2o.download_csv(sub, sub_fname)
"""









    Out[15]:





"\n# create time stamp\nimport re\nimport time\ntime_stamp = re.sub('[: ]', '_', time.asctime())\n\n# score unlabeled test data\nsub = mnist_model.predict(test)\n\n# save file for submission\nsub = sub['predict']\n\nimport numpy as np # create ID column\nsub = h2o.H2OFrame(np.arange(1, 28001)).cbind(sub) \n\nsub.columns = ['ImageId', 'Label']\n\nprint(sub.head())\n\nsub_fname = '../data/submission_' + str(time_stamp) + '.csv'\nh2o.download_csv(sub, sub_fname)\n"



In [16]:

    
# shutdown h2o - this will erase all your unsaved frames and models in H2O
h2o.cluster().shutdown(prompt=True)









    



Are you sure you want to shutdown the H2O instance running at http://127.0.0.1:54321 (Y/N)? y
H2O session _sid_a4f7 closed.

H2O cluster uptime:	01 secs
H2O cluster timezone:	America/New_York
H2O data parsing timezone:	UTC
H2O cluster version:	3.18.0.11
H2O cluster version age:	7 days, 15 hours and 45 minutes
H2O cluster name:	H2O_from_python_phall_2bf4zp
H2O cluster total nodes:	1
H2O cluster free memory:	3.556 Gb
H2O cluster total cores:	8
H2O cluster allowed cores:	8
H2O cluster status:	accepting new members, healthy
H2O connection url:	http://127.0.0.1:54321
H2O connection proxy:	None
H2O internal security:	False
H2O API Extensions:	XGBoost, Algos, AutoML, Core V3, Core V4
Python version:	3.5.2 final

0	1	2	3	4	5	6	7	8	9	Error	Rate
951.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	0 / 951
0.0	1119.0	1.0	0.0	0.0	0.0	0.0	0.0	1.0	0.0	0.0017841	2 / 1,121
0.0	0.0	967.0	1.0	2.0	0.0	0.0	2.0	1.0	0.0	0.0061665	6 / 973
0.0	0.0	0.0	990.0	0.0	0.0	0.0	3.0	0.0	1.0	0.0040241	4 / 994
0.0	1.0	0.0	0.0	925.0	0.0	0.0	0.0	1.0	2.0	0.0043057	4 / 929
0.0	0.0	1.0	1.0	0.0	892.0	0.0	0.0	1.0	0.0	0.0033520	3 / 895
3.0	0.0	0.0	0.0	0.0	1.0	1011.0	0.0	0.0	0.0	0.0039409	4 / 1,015
0.0	0.0	0.0	0.0	0.0	0.0	0.0	1035.0	0.0	0.0	0.0	0 / 1,035
0.0	0.0	0.0	0.0	0.0	0.0	0.0	0.0	1013.0	1.0	0.0009862	1 / 1,014
1.0	0.0	0.0	2.0	0.0	0.0	0.0	2.0	1.0	988.0	0.0060362	6 / 994
955.0	1120.0	969.0	994.0	927.0	893.0	1011.0	1042.0	1018.0	992.0	0.0030239	30 / 9,921

k	hit_ratio
1	0.9969761
2	0.9993952
3	0.9998992
4	1.0
5	1.0
6	1.0
7	1.0
8	1.0
9	1.0
10	1.0

0	1	2	3	4	5	6	7	8	9	Error	Rate
1166.0	1.0	1.0	0.0	0.0	2.0	7.0	2.0	1.0	0.0	0.0118644	14 / 1,180
0.0	1320.0	3.0	5.0	0.0	0.0	0.0	1.0	3.0	0.0	0.0090090	12 / 1,332
1.0	1.0	1205.0	4.0	3.0	0.0	3.0	9.0	5.0	0.0	0.0211210	26 / 1,231
0.0	2.0	6.0	1235.0	0.0	3.0	0.0	6.0	14.0	2.0	0.0260252	33 / 1,268
1.0	2.0	2.0	0.0	1124.0	2.0	6.0	5.0	3.0	9.0	0.0259965	30 / 1,154
2.0	1.0	1.0	14.0	1.0	1108.0	3.0	2.0	6.0	2.0	0.0280702	32 / 1,140
2.0	5.0	0.0	0.0	2.0	5.0	1139.0	0.0	5.0	0.0	0.0164076	19 / 1,158
0.0	2.0	4.0	0.0	2.0	0.0	0.0	1220.0	2.0	7.0	0.0137429	17 / 1,237
1.0	5.0	1.0	8.0	0.0	3.0	6.0	2.0	1113.0	2.0	0.0245399	28 / 1,141
2.0	2.0	0.0	3.0	6.0	6.0	0.0	12.0	5.0	1137.0	0.0306905	36 / 1,173
1175.0	1341.0	1223.0	1269.0	1138.0	1129.0	1164.0	1259.0	1157.0	1159.0	0.0205593	247 / 12,014

k	hit_ratio
1	0.9794406
2	0.9946728
3	0.9975029
4	0.9988347
5	0.9995838
6	0.9997503
7	0.9998335
8	0.9999167
9	0.9999167
10	0.9999999

	timestamp	duration	training_speed	epochs	iterations	samples	training_rmse	training_logloss	training_classification_error	validation_rmse	validation_logloss	validation_classification_error
	2018-06-01 05:52:33	0.000 sec	None	0.0	0	0.0	nan	nan	nan	nan	nan	nan
	2018-06-01 05:52:38	5:25:25.436	1460 obs/sec	0.1274955	1	6118.0	0.3137048	0.4365653	0.1170245	0.3145291	0.4460997	0.1158648
	2018-06-01 05:53:56	5:26:44.271	1727 obs/sec	2.6926812	21	129211.0	0.1666627	0.1013986	0.0307429	0.1846801	0.1244377	0.0388713
	2018-06-01 05:55:20	5:28:08.118	1874 obs/sec	5.8930313	46	282783.0	0.1312903	0.0650657	0.0191513	0.1595478	0.0988074	0.0293824
	2018-06-01 05:56:41	5:29:27.546	1925 obs/sec	8.9644896	70	430170.0	0.1126705	0.0469285	0.0146155	0.1513525	0.0896927	0.0258032
---	---	---	---	---	---	---	---	---	---	---	---	---
	2018-06-01 06:45:55	6:18:42.777	2142 obs/sec	128.9778685	1003	6189132.0	0.0491715	0.0095191	0.0027215	0.1344723	0.0871130	0.0207258
	2018-06-01 06:47:12	6:19:59.755	2144 obs/sec	132.1793648	1028	6342759.0	0.0421763	0.0080966	0.0012096	0.1362132	0.0858401	0.0211420
	2018-06-01 06:48:33	6:21:20.221	2151 obs/sec	135.8990747	1057	6521253.0	0.0463655	0.0089080	0.0021167	0.1357118	0.0866437	0.0204761
	2018-06-01 06:49:46	6:22:33.912	2153 obs/sec	138.9794523	1081	6669068.0	0.0442301	0.0082408	0.0024191	0.1330820	0.0849904	0.0193940
	2018-06-01 06:49:54	6:22:40.802	2153 obs/sec	138.9794523	1081	6669068.0	0.0550270	0.0125481	0.0030239	0.1352679	0.0813792	0.0205593

variable	relative_importance	scaled_importance	percentage
pixel293	1.0	1.0	0.0019564
pixel294	0.9432160	0.9432160	0.0018453
pixel349	0.9159057	0.9159057	0.0017918
pixel322	0.9067742	0.9067742	0.0017740
pixel515	0.9033036	0.9033036	0.0017672
---	---	---	---
pixel601	0.5004087	0.5004087	0.0009790
pixel574	0.4984325	0.4984325	0.0009751
pixel628	0.4927354	0.4927354	0.0009640
pixel658	0.4925828	0.4925828	0.0009637
pixel629	0.4697497	0.4697497	0.0009190