extract_proximity: Methods to extract proximity matrices from random forests

Description Usage Arguments Value See Also Examples

Description

Extracts proximity matrices from random forest objects from the party, randomForest, randomForestSRC, or ranger packages

Usage

1
extract_proximity(fit, newdata)

Arguments

fit

object of class 'RandomForest', 'randomForest', 'rfsrc', or 'ranger'

newdata

new data with the same columns as the data used for fit

...

arguments to be passed to extract_proximity

Value

an n x n matrix where position i, j gives the proportion of times observation i and j are in the same teriminal node across all trees

See Also

plot_prox for plotting principal components of proximity matrices.

Examples

1
2
3
4
5
6
7
library(randomForest)

fit = randomForest(hp ~ ., mtcars, proximity = TRUE)
extract_proximity(fit)

fit = randomForest(Species ~ ., iris, proximity = TRUE)
extract_proximity(fit)

Example output

randomForest 4.6-12
Type rfNews() to see new features/changes/bug fixes.
                     Mazda RX4 Mazda RX4 Wag Datsun 710 Hornet 4 Drive
Mazda RX4           1.00000000    0.98214286 0.25000000     0.08333333
Mazda RX4 Wag       0.98214286    1.00000000 0.20289855     0.17460317
Datsun 710          0.25000000    0.20289855 1.00000000     0.13043478
Hornet 4 Drive      0.08333333    0.17460317 0.13043478     1.00000000
Hornet Sportabout   0.05970149    0.10810811 0.01612903     0.25396825
Valiant             0.14814815    0.16176471 0.17857143     0.69230769
Duster 360          0.01612903    0.01492537 0.00000000     0.02941176
Merc 240D           0.05000000    0.16250000 0.27536232     0.49206349
Merc 230            0.15000000    0.23809524 0.35937500     0.34615385
Merc 280            0.44067797    0.44262295 0.12307692     0.13333333
Merc 280C           0.35714286    0.38356164 0.11764706     0.25806452
Merc 450SE          0.01923077    0.05555556 0.00000000     0.16000000
Merc 450SL          0.06000000    0.14285714 0.00000000     0.12962963
Merc 450SLC         0.05769231    0.09195402 0.00000000     0.14285714
Cadillac Fleetwood  0.00000000    0.00000000 0.00000000     0.05172414
Lincoln Continental 0.00000000    0.00000000 0.00000000     0.10909091
Chrysler Imperial   0.00000000    0.00000000 0.00000000     0.07547170
Fiat 128            0.00000000    0.00000000 0.27450980     0.04255319
Honda Civic         0.03225806    0.02941176 0.25352113     0.00000000
Toyota Corolla      0.00000000    0.00000000 0.30882353     0.03225806
Toyota Corona       0.21818182    0.20270270 0.49152542     0.37735849
Dodge Challenger    0.00000000    0.01538462 0.00000000     0.05769231
AMC Javelin         0.07017544    0.08139535 0.01587302     0.21818182
Camaro Z28          0.10000000    0.07812500 0.02898551     0.00000000
Pontiac Firebird    0.01851852    0.03448276 0.00000000     0.17307692
Fiat X1-9           0.01538462    0.01587302 0.42647059     0.04838710
Porsche 914-2       0.24489796    0.28378378 0.23437500     0.01562500
Lotus Europa        0.12727273    0.08108108 0.26562500     0.05660377
Ford Pantera L      0.09259259    0.14084507 0.01470588     0.03773585
Ferrari Dino        0.53703704    0.59722222 0.14705882     0.09615385
Maserati Bora       0.04166667    0.02898551 0.00000000     0.00000000
Volvo 142E          0.22807018    0.22784810 0.61764706     0.15517241
                    Hornet Sportabout    Valiant Duster 360  Merc 240D
Mazda RX4                  0.05970149 0.14814815 0.01612903 0.05000000
Mazda RX4 Wag              0.10810811 0.16176471 0.01492537 0.16250000
Datsun 710                 0.01612903 0.17857143 0.00000000 0.27536232
Hornet 4 Drive             0.25396825 0.69230769 0.02941176 0.49206349
Hornet Sportabout          1.00000000 0.22388060 0.27272727 0.02857143
Valiant                    0.22388060 1.00000000 0.01612903 0.24074074
Duster 360                 0.27272727 0.01612903 1.00000000 0.00000000
Merc 240D                  0.02857143 0.24074074 0.00000000 1.00000000
Merc 230                   0.00000000 0.22972973 0.00000000 0.89655172
Merc 280                   0.16176471 0.49253731 0.06024096 0.12857143
Merc 280C                  0.13207547 0.51562500 0.03571429 0.14864865
Merc 450SE                 0.31343284 0.09615385 0.17391304 0.00000000
Merc 450SL                 0.41269841 0.20512821 0.32692308 0.00000000
Merc 450SLC                0.21917808 0.11290323 0.22058824 0.00000000
Cadillac Fleetwood         0.10294118 0.01612903 0.39436620 0.00000000
Lincoln Continental        0.18644068 0.08620690 0.40540541 0.00000000
Chrysler Imperial          0.26760563 0.03174603 0.36666667 0.00000000
Fiat 128                   0.00000000 0.03703704 0.00000000 0.09615385
Honda Civic                0.00000000 0.00000000 0.00000000 0.06250000
Toyota Corolla             0.00000000 0.01785714 0.00000000 0.09090909
Toyota Corona              0.04838710 0.26470588 0.00000000 0.44827586
Dodge Challenger           0.44444444 0.12280702 0.25000000 0.00000000
AMC Javelin                0.67796610 0.17857143 0.31250000 0.01428571
Camaro Z28                 0.13636364 0.01428571 0.70270270 0.00000000
Pontiac Firebird           0.68965517 0.09803922 0.18518519 0.01960784
Fiat X1-9                  0.00000000 0.00000000 0.00000000 0.13157895
Porsche 914-2              0.07692308 0.00000000 0.00000000 0.13207547
Lotus Europa               0.03125000 0.03508772 0.00000000 0.09859155
Ford Pantera L             0.33333333 0.04687500 0.33333333 0.01408451
Ferrari Dino               0.04761905 0.15254237 0.09722222 0.21875000
Maserati Bora              0.13114754 0.01724138 0.56250000 0.01612903
Volvo 142E                 0.03225806 0.09722222 0.00000000 0.51470588
                      Merc 230   Merc 280  Merc 280C Merc 450SE Merc 450SL
Mazda RX4           0.15000000 0.44067797 0.35714286 0.01923077 0.06000000
Mazda RX4 Wag       0.23809524 0.44262295 0.38356164 0.05555556 0.14285714
Datsun 710          0.35937500 0.12307692 0.11764706 0.00000000 0.00000000
Hornet 4 Drive      0.34615385 0.13333333 0.25806452 0.16000000 0.12962963
Hornet Sportabout   0.00000000 0.16176471 0.13207547 0.31343284 0.41269841
Valiant             0.22972973 0.49253731 0.51562500 0.09615385 0.20512821
Duster 360          0.00000000 0.06024096 0.03571429 0.17391304 0.32692308
Merc 240D           0.89655172 0.12857143 0.14864865 0.00000000 0.00000000
Merc 230            1.00000000 0.19736842 0.46551724 0.00000000 0.00000000
Merc 280            0.19736842 1.00000000 0.93333333 0.06666667 0.10714286
Merc 280C           0.46551724 0.93333333 1.00000000 0.03703704 0.08928571
Merc 450SE          0.00000000 0.06666667 0.03703704 1.00000000 0.87037037
Merc 450SL          0.00000000 0.10714286 0.08928571 0.87037037 1.00000000
Merc 450SLC         0.00000000 0.03333333 0.03174603 0.86440678 0.72131148
Cadillac Fleetwood  0.00000000 0.04411765 0.01666667 0.16129032 0.23437500
Lincoln Continental 0.00000000 0.03278689 0.03703704 0.20000000 0.20895522
Chrysler Imperial   0.00000000 0.07936508 0.05172414 0.26153846 0.25396825
Fiat 128            0.14545455 0.00000000 0.04347826 0.00000000 0.00000000
Honda Civic         0.11764706 0.01428571 0.02898551 0.00000000 0.00000000
Toyota Corolla      0.20338983 0.00000000 0.01612903 0.00000000 0.00000000
Toyota Corona       0.48275862 0.10909091 0.22857143 0.00000000 0.03508772
Dodge Challenger    0.00000000 0.01515152 0.01515152 0.64516129 0.71153846
AMC Javelin         0.00000000 0.05882353 0.04687500 0.37931034 0.41071429
Camaro Z28          0.01428571 0.11594203 0.09589041 0.23636364 0.11320755
Pontiac Firebird    0.00000000 0.04000000 0.01612903 0.62264151 0.65079365
Fiat X1-9           0.08750000 0.00000000 0.04166667 0.00000000 0.00000000
Porsche 914-2       0.08620690 0.01724138 0.01369863 0.04477612 0.05357143
Lotus Europa        0.05797101 0.01351351 0.00000000 0.01666667 0.00000000
Ford Pantera L      0.03278689 0.23076923 0.11666667 0.08823529 0.10294118
Ferrari Dino        0.07142857 0.32258065 0.28846154 0.01470588 0.01612903
Maserati Bora       0.00000000 0.05000000 0.01639344 0.22727273 0.22641509
Volvo 142E          0.55263158 0.12500000 0.14062500 0.00000000 0.00000000
                    Merc 450SLC Cadillac Fleetwood Lincoln Continental
Mazda RX4            0.05769231         0.00000000          0.00000000
Mazda RX4 Wag        0.09195402         0.00000000          0.00000000
Datsun 710           0.00000000         0.00000000          0.00000000
Hornet 4 Drive       0.14285714         0.05172414          0.10909091
Hornet Sportabout    0.21917808         0.10294118          0.18644068
Valiant              0.11290323         0.01612903          0.08620690
Duster 360           0.22058824         0.39436620          0.40540541
Merc 240D            0.00000000         0.00000000          0.00000000
Merc 230             0.00000000         0.00000000          0.00000000
Merc 280             0.03333333         0.04411765          0.03278689
Merc 280C            0.03174603         0.01666667          0.03703704
Merc 450SE           0.86440678         0.16129032          0.20000000
Merc 450SL           0.72131148         0.23437500          0.20895522
Merc 450SLC          1.00000000         0.23611111          0.30882353
Cadillac Fleetwood   0.23611111         1.00000000          0.98360656
Lincoln Continental  0.30882353         0.98360656          1.00000000
Chrysler Imperial    0.28333333         0.75000000          0.78333333
Fiat 128             0.00000000         0.00000000          0.00000000
Honda Civic          0.00000000         0.00000000          0.00000000
Toyota Corolla       0.00000000         0.00000000          0.00000000
Toyota Corona        0.00000000         0.00000000          0.00000000
Dodge Challenger     0.62500000         0.14754098          0.20000000
AMC Javelin          0.64705882         0.11428571          0.09677419
Camaro Z28           0.16176471         0.39130435          0.46268657
Pontiac Firebird     0.40384615         0.25862069          0.25000000
Fiat X1-9            0.00000000         0.00000000          0.00000000
Porsche 914-2        0.03076923         0.00000000          0.00000000
Lotus Europa         0.00000000         0.00000000          0.00000000
Ford Pantera L       0.03125000         0.07692308          0.03278689
Ferrari Dino         0.02941176         0.00000000          0.00000000
Maserati Bora        0.26562500         0.14925373          0.10909091
Volvo 142E           0.00000000         0.00000000          0.00000000
                    Chrysler Imperial   Fiat 128 Honda Civic Toyota Corolla
Mazda RX4                  0.00000000 0.00000000  0.03225806     0.00000000
Mazda RX4 Wag              0.00000000 0.00000000  0.02941176     0.00000000
Datsun 710                 0.00000000 0.27450980  0.25352113     0.30882353
Hornet 4 Drive             0.07547170 0.04255319  0.00000000     0.03225806
Hornet Sportabout          0.26760563 0.00000000  0.00000000     0.00000000
Valiant                    0.03174603 0.03703704  0.00000000     0.01785714
Duster 360                 0.36666667 0.00000000  0.00000000     0.00000000
Merc 240D                  0.00000000 0.09615385  0.06250000     0.09090909
Merc 230                   0.00000000 0.14545455  0.11764706     0.20338983
Merc 280                   0.07936508 0.00000000  0.01428571     0.00000000
Merc 280C                  0.05172414 0.04347826  0.02898551     0.01612903
Merc 450SE                 0.26153846 0.00000000  0.00000000     0.00000000
Merc 450SL                 0.25396825 0.00000000  0.00000000     0.00000000
Merc 450SLC                0.28333333 0.00000000  0.00000000     0.00000000
Cadillac Fleetwood         0.75000000 0.00000000  0.00000000     0.00000000
Lincoln Continental        0.78333333 0.00000000  0.00000000     0.00000000
Chrysler Imperial          1.00000000 0.00000000  0.00000000     0.00000000
Fiat 128                   0.00000000 1.00000000  0.53731343     0.87272727
Honda Civic                0.00000000 0.53731343  1.00000000     0.64062500
Toyota Corolla             0.00000000 0.87272727  0.64062500     1.00000000
Toyota Corona              0.00000000 0.15217391  0.04477612     0.14035088
Dodge Challenger           0.25490196 0.00000000  0.00000000     0.00000000
AMC Javelin                0.26415094 0.00000000  0.00000000     0.00000000
Camaro Z28                 0.50724638 0.00000000  0.00000000     0.00000000
Pontiac Firebird           0.29508197 0.00000000  0.00000000     0.00000000
Fiat X1-9                  0.00000000 0.68518519  0.71428571     0.68354430
Porsche 914-2              0.00000000 0.22413793  0.38095238     0.20547945
Lotus Europa               0.00000000 0.40000000  0.58823529     0.46031746
Ford Pantera L             0.11428571 0.03333333  0.03225806     0.00000000
Ferrari Dino               0.01639344 0.01724138  0.01587302     0.00000000
Maserati Bora              0.22222222 0.00000000  0.00000000     0.00000000
Volvo 142E                 0.00000000 0.32258065  0.39393939     0.15714286
                    Toyota Corona Dodge Challenger AMC Javelin Camaro Z28
Mazda RX4              0.21818182       0.00000000  0.07017544 0.10000000
Mazda RX4 Wag          0.20270270       0.01538462  0.08139535 0.07812500
Datsun 710             0.49152542       0.00000000  0.01587302 0.02898551
Hornet 4 Drive         0.37735849       0.05769231  0.21818182 0.00000000
Hornet Sportabout      0.04838710       0.44444444  0.67796610 0.13636364
Valiant                0.26470588       0.12280702  0.17857143 0.01428571
Duster 360             0.00000000       0.25000000  0.31250000 0.70270270
Merc 240D              0.44827586       0.00000000  0.01428571 0.00000000
Merc 230               0.48275862       0.00000000  0.00000000 0.01428571
Merc 280               0.10909091       0.01515152  0.05882353 0.11594203
Merc 280C              0.22857143       0.01515152  0.04687500 0.09589041
Merc 450SE             0.00000000       0.64516129  0.37931034 0.23636364
Merc 450SL             0.03508772       0.71153846  0.41071429 0.11320755
Merc 450SLC            0.00000000       0.62500000  0.64705882 0.16176471
Cadillac Fleetwood     0.00000000       0.14754098  0.11428571 0.39130435
Lincoln Continental    0.00000000       0.20000000  0.09677419 0.46268657
Chrysler Imperial      0.00000000       0.25490196  0.26415094 0.50724638
Fiat 128               0.15217391       0.00000000  0.00000000 0.00000000
Honda Civic            0.04477612       0.00000000  0.00000000 0.00000000
Toyota Corolla         0.14035088       0.00000000  0.00000000 0.00000000
Toyota Corona          1.00000000       0.00000000  0.00000000 0.04615385
Dodge Challenger       0.00000000       1.00000000  0.64705882 0.10169492
AMC Javelin            0.00000000       0.64705882  1.00000000 0.18032787
Camaro Z28             0.04615385       0.10169492  0.18032787 1.00000000
Pontiac Firebird       0.05172414       0.62068966  0.49090909 0.13461538
Fiat X1-9              0.13793103       0.00000000  0.00000000 0.00000000
Porsche 914-2          0.07692308       0.04838710  0.05479452 0.03896104
Lotus Europa           0.11475410       0.01754386  0.01470588 0.01449275
Ford Pantera L         0.00000000       0.07017544  0.26760563 0.38028169
Ferrari Dino           0.18518519       0.00000000  0.03571429 0.08474576
Maserati Bora          0.00000000       0.16000000  0.27868852 0.45588235
Volvo 142E             0.57812500       0.01470588  0.01388889 0.00000000
                    Pontiac Firebird  Fiat X1-9 Porsche 914-2 Lotus Europa
Mazda RX4                 0.01851852 0.01538462    0.24489796   0.12727273
Mazda RX4 Wag             0.03448276 0.01587302    0.28378378   0.08108108
Datsun 710                0.00000000 0.42647059    0.23437500   0.26562500
Hornet 4 Drive            0.17307692 0.04838710    0.01562500   0.05660377
Hornet Sportabout         0.68965517 0.00000000    0.07692308   0.03125000
Valiant                   0.09803922 0.00000000    0.00000000   0.03508772
Duster 360                0.18518519 0.00000000    0.00000000   0.00000000
Merc 240D                 0.01960784 0.13157895    0.13207547   0.09859155
Merc 230                  0.00000000 0.08750000    0.08620690   0.05797101
Merc 280                  0.04000000 0.00000000    0.01724138   0.01351351
Merc 280C                 0.01612903 0.04166667    0.01369863   0.00000000
Merc 450SE                0.62264151 0.00000000    0.04477612   0.01666667
Merc 450SL                0.65079365 0.00000000    0.05357143   0.00000000
Merc 450SLC               0.40384615 0.00000000    0.03076923   0.00000000
Cadillac Fleetwood        0.25862069 0.00000000    0.00000000   0.00000000
Lincoln Continental       0.25000000 0.00000000    0.00000000   0.00000000
Chrysler Imperial         0.29508197 0.00000000    0.00000000   0.00000000
Fiat 128                  0.00000000 0.68518519    0.22413793   0.40000000
Honda Civic               0.00000000 0.71428571    0.38095238   0.58823529
Toyota Corolla            0.00000000 0.68354430    0.20547945   0.46031746
Toyota Corona             0.05172414 0.13793103    0.07692308   0.11475410
Dodge Challenger          0.62068966 0.00000000    0.04838710   0.01754386
AMC Javelin               0.49090909 0.00000000    0.05479452   0.01470588
Camaro Z28                0.13461538 0.00000000    0.03896104   0.01449275
Pontiac Firebird          1.00000000 0.00000000    0.03125000   0.01818182
Fiat X1-9                 0.00000000 1.00000000    0.33333333   0.36764706
Porsche 914-2             0.03125000 0.33333333    1.00000000   0.68656716
Lotus Europa              0.01818182 0.36764706    0.68656716   1.00000000
Ford Pantera L            0.14285714 0.00000000    0.11290323   0.02941176
Ferrari Dino              0.00000000 0.01562500    0.23880597   0.13559322
Maserati Bora             0.08571429 0.00000000    0.05172414   0.01612903
Volvo 142E                0.03225806 0.31944444    0.24637681   0.15277778
                    Ford Pantera L Ferrari Dino Maserati Bora Volvo 142E
Mazda RX4               0.09259259   0.53703704    0.04166667 0.22807018
Mazda RX4 Wag           0.14084507   0.59722222    0.02898551 0.22784810
Datsun 710              0.01470588   0.14705882    0.00000000 0.61764706
Hornet 4 Drive          0.03773585   0.09615385    0.00000000 0.15517241
Hornet Sportabout       0.33333333   0.04761905    0.13114754 0.03225806
Valiant                 0.04687500   0.15254237    0.01724138 0.09722222
Duster 360              0.33333333   0.09722222    0.56250000 0.00000000
Merc 240D               0.01408451   0.21875000    0.01612903 0.51470588
Merc 230                0.03278689   0.07142857    0.00000000 0.55263158
Merc 280                0.23076923   0.32258065    0.05000000 0.12500000
Merc 280C               0.11666667   0.28846154    0.01639344 0.14062500
Merc 450SE              0.08823529   0.01470588    0.22727273 0.00000000
Merc 450SL              0.10294118   0.01612903    0.22641509 0.00000000
Merc 450SLC             0.03125000   0.02941176    0.26562500 0.00000000
Cadillac Fleetwood      0.07692308   0.00000000    0.14925373 0.00000000
Lincoln Continental     0.03278689   0.00000000    0.10909091 0.00000000
Chrysler Imperial       0.11428571   0.01639344    0.22222222 0.00000000
Fiat 128                0.03333333   0.01724138    0.00000000 0.32258065
Honda Civic             0.03225806   0.01587302    0.00000000 0.39393939
Toyota Corolla          0.00000000   0.00000000    0.00000000 0.15714286
Toyota Corona           0.00000000   0.18518519    0.00000000 0.57812500
Dodge Challenger        0.07017544   0.00000000    0.16000000 0.01470588
AMC Javelin             0.26760563   0.03571429    0.27868852 0.01388889
Camaro Z28              0.38028169   0.08474576    0.45588235 0.00000000
Pontiac Firebird        0.14285714   0.00000000    0.08571429 0.03225806
Fiat X1-9               0.00000000   0.01562500    0.00000000 0.31944444
Porsche 914-2           0.11290323   0.23880597    0.05172414 0.24637681
Lotus Europa            0.02941176   0.13559322    0.01612903 0.15277778
Ford Pantera L          1.00000000   0.17391304    0.61016949 0.04347826
Ferrari Dino            0.17391304   1.00000000    0.12068966 0.21917808
Maserati Bora           0.61016949   0.12068966    1.00000000 0.00000000
Volvo 142E              0.04347826   0.21917808    0.00000000 1.00000000
            1          2          3         4          5          6          7
1   1.0000000 1.00000000 1.00000000 0.9875000 1.00000000 1.00000000 1.00000000
2   1.0000000 1.00000000 0.98630137 1.0000000 1.00000000 0.98611111 0.98113208
3   1.0000000 0.98630137 1.00000000 1.0000000 1.00000000 0.98611111 1.00000000
4   0.9875000 1.00000000 1.00000000 1.0000000 0.98734177 0.96875000 1.00000000
5   1.0000000 1.00000000 1.00000000 0.9873418 1.00000000 0.98780488 1.00000000
6   1.0000000 0.98611111 0.98611111 0.9687500 0.98780488 1.00000000 1.00000000
7   1.0000000 0.98113208 1.00000000 1.0000000 1.00000000 1.00000000 1.00000000
8   1.0000000 0.97142857 1.00000000 0.9850746 1.00000000 0.98648649 1.00000000
9   0.9838710 1.00000000 0.97560976 0.9852941 1.00000000 0.97101449 0.98412698
10  1.0000000 1.00000000 1.00000000 1.0000000 1.00000000 1.00000000 1.00000000
11  0.9875000 0.98507463 0.97260274 0.9629630 0.97014925 1.00000000 1.00000000
12  1.0000000 0.96774194 1.00000000 0.9848485 1.00000000 1.00000000 1.00000000
13  0.9855072 1.00000000 0.98630137 1.0000000 0.98484848 0.97183099 0.98507463
14  0.9870130 1.00000000 1.00000000 1.0000000 0.98750000 0.98666667 1.00000000
15  0.8196721 0.86666667 0.81818182 0.8906250 0.80952381 0.84126984 0.80701754
16  0.8194444 0.88059701 0.75384615 0.8591549 0.87323944 0.85937500 0.85245902
17  1.0000000 0.98648649 0.98507463 0.9855072 0.98591549 1.00000000 1.00000000
18  1.0000000 0.98666667 1.00000000 1.0000000 1.00000000 1.00000000 1.00000000
19  0.8450704 0.91549296 0.84337349 0.8939394 0.86111111 0.83582090 0.84848485
20  1.0000000 1.00000000 1.00000000 1.0000000 1.00000000 1.00000000 1.00000000
21  1.0000000 0.98630137 0.98901099 0.9863014 0.98666667 1.00000000 1.00000000
22  1.0000000 1.00000000 1.00000000 0.9871795 1.00000000 0.98591549 1.00000000
23  1.0000000 1.00000000 1.00000000 1.0000000 1.00000000 1.00000000 1.00000000
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137 0.0000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.00000000
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148 0.0000000 0.00000000 0.00000000 0.0000000 0.00000000 0.00000000 0.00000000
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1   1.00000000 0.98387097 1.00000000 0.98750000 1.00000000 0.98550725
2   0.97142857 1.00000000 1.00000000 0.98507463 0.96774194 1.00000000
3   1.00000000 0.97560976 1.00000000 0.97260274 1.00000000 0.98630137
4   0.98507463 0.98529412 1.00000000 0.96296296 0.98484848 1.00000000
5   1.00000000 1.00000000 1.00000000 0.97014925 1.00000000 0.98484848
6   0.98648649 0.97101449 1.00000000 1.00000000 1.00000000 0.97183099
7   1.00000000 0.98412698 1.00000000 1.00000000 1.00000000 0.98507463
8   1.00000000 0.98412698 1.00000000 0.96923077 1.00000000 0.96103896
9   0.98412698 1.00000000 1.00000000 0.97142857 0.98387097 1.00000000
10  1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000
11  0.96923077 0.97142857 1.00000000 1.00000000 0.98684211 0.97260274
12  1.00000000 0.98387097 1.00000000 0.98684211 1.00000000 0.94642857
13  0.96103896 1.00000000 1.00000000 0.97260274 0.94642857 1.00000000
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16  0.83333333 0.86486486 0.87341772 0.81081081 0.80882353 0.78787879
17  0.98648649 0.97014925 1.00000000 1.00000000 1.00000000 0.98591549
18  1.00000000 1.00000000 1.00000000 0.98648649 1.00000000 0.98630137
19  0.82191781 0.82278481 0.88732394 0.84931507 0.85714286 0.82191781
20  1.00000000 0.98529412 1.00000000 1.00000000 1.00000000 1.00000000
21  0.98684211 0.96052632 1.00000000 1.00000000 1.00000000 0.98684211
22  1.00000000 0.98305085 1.00000000 0.98461538 1.00000000 0.98611111
23  1.00000000 0.98630137 1.00000000 1.00000000 1.00000000 1.00000000
24  0.98765432 1.00000000 1.00000000 0.97619048 0.98648649 0.98648649
25  1.00000000 0.98684211 1.00000000 0.98611111 1.00000000 1.00000000
26  0.98305085 0.98387097 1.00000000 1.00000000 0.98275862 1.00000000
27  1.00000000 0.97058824 1.00000000 1.00000000 1.00000000 0.97468354
28  1.00000000 0.98571429 1.00000000 0.98507463 1.00000000 1.00000000
29  1.00000000 1.00000000 1.00000000 0.98684211 1.00000000 0.98684211
30  1.00000000 1.00000000 1.00000000 0.96774194 1.00000000 0.98437500
31  0.98717949 1.00000000 1.00000000 0.98571429 0.98550725 1.00000000
32  0.98529412 0.96875000 1.00000000 1.00000000 1.00000000 0.98360656
33  1.00000000 0.98591549 1.00000000 1.00000000 1.00000000 0.97402597
34  0.86111111 0.84482759 0.84210526 0.91044776 0.92187500 0.88461538
35  1.00000000 1.00000000 1.00000000 0.98507463 1.00000000 0.98412698
36  0.98701299 0.98484848 1.00000000 0.98484848 0.98529412 1.00000000
37  0.76000000 0.82089552 0.84848485 0.81666667 0.83582090 0.80000000
38  1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000
39  0.98484848 1.00000000 1.00000000 0.96491228 0.98484848 1.00000000
40  1.00000000 1.00000000 1.00000000 0.98666667 1.00000000 1.00000000
41  1.00000000 0.98275862 1.00000000 1.00000000 1.00000000 0.96875000
42  0.90909091 0.95714286 0.95774648 0.87719298 0.92452830 0.93442623
43  0.98484848 0.98275862 1.00000000 0.98591549 0.98275862 0.98437500
44  1.00000000 0.98611111 1.00000000 0.98529412 1.00000000 0.95833333
45  1.00000000 0.98507463 1.00000000 0.98387097 1.00000000 1.00000000
46  0.95833333 1.00000000 1.00000000 0.95000000 0.95000000 1.00000000
47  1.00000000 0.98550725 1.00000000 0.98591549 1.00000000 0.98529412
48  0.98591549 0.98684211 1.00000000 0.97560976 0.98550725 0.97260274
49  1.00000000 0.97058824 1.00000000 0.98591549 1.00000000 0.95522388
50  0.98412698 0.98571429 1.00000000 0.98611111 0.98360656 0.98666667
51  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
52  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
53  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
54  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
55  0.00000000 0.01886792 0.00000000 0.00000000 0.00000000 0.00000000
56  0.00000000 0.01694915 0.00000000 0.00000000 0.00000000 0.00000000
57  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
58  0.00000000 0.01449275 0.00000000 0.00000000 0.00000000 0.00000000
59  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
60  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
61  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
62  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
63  0.00000000 0.01369863 0.00000000 0.00000000 0.00000000 0.00000000
64  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
65  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
66  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
67  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
68  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
69  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
70  0.00000000 0.01587302 0.00000000 0.00000000 0.00000000 0.00000000
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84  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
85  0.01162791 0.00000000 0.04411765 0.03797468 0.02816901 0.04166667
86  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
87  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
88  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
89  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
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92  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
93  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
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96  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
97  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
98  0.00000000 0.01754386 0.00000000 0.00000000 0.00000000 0.00000000
99  0.00000000 0.01562500 0.00000000 0.00000000 0.00000000 0.00000000
100 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
101 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
102 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
103 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
104 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
105 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
106 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
107 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
108 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
109 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
110 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
111 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
112 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
113 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
114 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
115 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
116 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
117 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
118 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
119 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
120 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
121 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
122 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
123 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
124 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
125 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
126 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
127 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
128 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
129 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
130 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
131 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
132 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
133 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
134 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
135 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
136 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
137 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
138 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
139 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
140 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
141 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
142 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
143 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
144 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
145 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
146 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
147 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
148 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
149 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
150 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
            14         15         16         17         18         19
1   0.98701299 0.81967213 0.81944444 1.00000000 1.00000000 0.84507042
2   1.00000000 0.86666667 0.88059701 0.98648649 0.98666667 0.91549296
3   1.00000000 0.81818182 0.75384615 0.98507463 1.00000000 0.84337349
4   1.00000000 0.89062500 0.85915493 0.98550725 1.00000000 0.89393939
5   0.98750000 0.80952381 0.87323944 0.98591549 1.00000000 0.86111111
6   0.98666667 0.84126984 0.85937500 1.00000000 1.00000000 0.83582090
7   1.00000000 0.80701754 0.85245902 1.00000000 1.00000000 0.84848485
8   0.97333333 0.81538462 0.83333333 0.98648649 1.00000000 0.82191781
9   1.00000000 0.82812500 0.86486486 0.97014925 1.00000000 0.82278481
10  1.00000000 0.83606557 0.87341772 1.00000000 1.00000000 0.88732394
11  0.97260274 0.82539683 0.81081081 1.00000000 0.98648649 0.84931507
12  0.96721311 0.83050847 0.80882353 1.00000000 1.00000000 0.85714286
13  1.00000000 0.83333333 0.78787879 0.98591549 0.98630137 0.82191781
14  1.00000000 0.88333333 0.78947368 1.00000000 0.98550725 0.88888889
15  0.88333333 1.00000000 1.00000000 0.88405797 0.81034483 0.97101449
16  0.78947368 1.00000000 1.00000000 0.90540541 0.82608696 1.00000000
17  1.00000000 0.88405797 0.90540541 1.00000000 1.00000000 0.84285714
18  0.98550725 0.81034483 0.82608696 1.00000000 1.00000000 0.79687500
19  0.88888889 0.97101449 1.00000000 0.84285714 0.79687500 1.00000000
20  1.00000000 0.84482759 0.86440678 1.00000000 1.00000000 0.90277778
21  1.00000000 0.80597015 0.85365854 1.00000000 1.00000000 0.81395349
22  0.98360656 0.79661017 0.85483871 0.98412698 1.00000000 0.85294118
23  1.00000000 0.82608696 0.85294118 1.00000000 1.00000000 0.87301587
24  0.98701299 0.79411765 0.84615385 1.00000000 1.00000000 0.81081081
25  1.00000000 0.85294118 0.78082192 0.98666667 1.00000000 0.85714286
26  1.00000000 0.81132075 0.79710145 0.98507463 1.00000000 0.82539683
27  0.98717949 0.83050847 0.81578947 1.00000000 1.00000000 0.84000000
28  1.00000000 0.87931034 0.83950617 0.98630137 1.00000000 0.84146341
29  0.98837209 0.81690141 0.84146341 1.00000000 1.00000000 0.83544304
30  0.98437500 0.82352941 0.83333333 0.98666667 1.00000000 0.80000000
31  1.00000000 0.84615385 0.83333333 1.00000000 1.00000000 0.89333333
32  1.00000000 0.86000000 0.81666667 1.00000000 1.00000000 0.85245902
33  0.98750000 0.87692308 0.85333333 1.00000000 1.00000000 0.86842105
34  0.86486486 1.00000000 0.98571429 0.93150685 0.85000000 0.95312500
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84  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
85  0.02739726 0.00000000 0.00000000 0.02898551 0.01470588 0.00000000
86  0.00000000 0.01515152 0.01408451 0.00000000 0.00000000 0.01388889
87  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.02857143
88  0.00000000 0.01470588 0.01449275 0.00000000 0.00000000 0.03076923
89  0.00000000 0.01612903 0.01492537 0.00000000 0.00000000 0.04545455
90  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.01612903
91  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
92  0.00000000 0.04166667 0.02666667 0.00000000 0.00000000 0.05633803
93  0.00000000 0.02000000 0.01538462 0.00000000 0.00000000 0.01492537
94  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
95  0.00000000 0.03773585 0.03076923 0.00000000 0.00000000 0.04166667
96  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
97  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.01449275
98  0.00000000 0.01694915 0.01428571 0.00000000 0.00000000 0.02857143
99  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
100 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.01408451
101 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
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103 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
104 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
105 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
106 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
107 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
108 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
109 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
110 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
111 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
112 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
113 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
114 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
115 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
116 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
117 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
118 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
119 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
120 0.00000000 0.01562500 0.01587302 0.00000000 0.00000000 0.01369863
121 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
122 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
123 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
124 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
125 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
126 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
127 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.01333333
128 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
129 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
130 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
131 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
132 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
133 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
134 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
135 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
136 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
137 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
138 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
139 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.01694915
140 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
141 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
142 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
143 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
144 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
145 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
146 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
147 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
148 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
149 0.00000000 0.01470588 0.01587302 0.00000000 0.00000000 0.00000000
150 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
            20         21         22         23         24         25        26
1   1.00000000 1.00000000 1.00000000 1.00000000 0.98734177 1.00000000 1.0000000
2   1.00000000 0.98630137 1.00000000 1.00000000 0.98305085 1.00000000 1.0000000
3   1.00000000 0.98901099 1.00000000 1.00000000 1.00000000 1.00000000 0.9859155
4   1.00000000 0.98630137 0.98717949 1.00000000 1.00000000 1.00000000 1.0000000
5   1.00000000 0.98666667 1.00000000 1.00000000 0.98684211 1.00000000 1.0000000
6   1.00000000 1.00000000 0.98591549 1.00000000 0.98591549 0.98529412 0.9833333
7   1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 0.9814815
8   1.00000000 0.98684211 1.00000000 1.00000000 0.98765432 1.00000000 0.9830508
9   0.98529412 0.96052632 0.98305085 0.98630137 1.00000000 0.98684211 0.9838710
10  1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.0000000
11  1.00000000 1.00000000 0.98461538 1.00000000 0.97619048 0.98611111 1.0000000
12  1.00000000 1.00000000 1.00000000 1.00000000 0.98648649 1.00000000 0.9827586
13  1.00000000 0.98684211 0.98611111 1.00000000 0.98648649 1.00000000 1.0000000
14  1.00000000 1.00000000 0.98360656 1.00000000 0.98701299 1.00000000 1.0000000
15  0.84482759 0.80597015 0.79661017 0.82608696 0.79411765 0.85294118 0.8113208
16  0.86440678 0.85365854 0.85483871 0.85294118 0.84615385 0.78082192 0.7971014
17  1.00000000 1.00000000 0.98412698 1.00000000 1.00000000 0.98666667 0.9850746
18  1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.0000000
19  0.90277778 0.81395349 0.85294118 0.87301587 0.81081081 0.85714286 0.8253968
20  1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.0000000
21  1.00000000 1.00000000 0.98648649 1.00000000 1.00000000 0.98666667 0.9864865
22  1.00000000 0.98648649 1.00000000 1.00000000 0.98648649 1.00000000 1.0000000
23  1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.0000000
24  1.00000000 1.00000000 0.98648649 1.00000000 1.00000000 1.00000000 1.0000000
25  1.00000000 0.98666667 1.00000000 1.00000000 1.00000000 1.00000000 1.0000000
26  1.00000000 0.98648649 1.00000000 1.00000000 1.00000000 1.00000000 1.0000000
27  1.00000000 1.00000000 1.00000000 1.00000000 0.98529412 1.00000000 0.9852941
28  1.00000000 0.98809524 1.00000000 1.00000000 1.00000000 1.00000000 1.0000000
29  1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.0000000
30  1.00000000 0.98717949 1.00000000 1.00000000 1.00000000 1.00000000 1.0000000
31  1.00000000 1.00000000 0.98387097 1.00000000 1.00000000 1.00000000 1.0000000
32  1.00000000 1.00000000 0.98333333 1.00000000 1.00000000 0.98412698 0.9811321
33  1.00000000 1.00000000 1.00000000 1.00000000 0.98809524 1.00000000 0.9852941
34  0.88732394 0.87179487 0.87012987 0.90625000 0.89189189 0.83582090 0.8656716
35  1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.0000000
36  1.00000000 1.00000000 0.98750000 1.00000000 1.00000000 1.00000000 1.0000000
37  0.84313725 0.84615385 0.81578947 0.86440678 0.83582090 0.80000000 0.7846154
38  1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.0000000
39  1.00000000 1.00000000 1.00000000 1.00000000 0.98630137 1.00000000 1.0000000
40  1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.0000000
41  1.00000000 1.00000000 1.00000000 1.00000000 0.98412698 1.00000000 0.9830508
42  0.90566038 0.94827586 0.94117647 0.95774648 0.92424242 0.96825397 0.9843750
43  1.00000000 1.00000000 0.98305085 1.00000000 1.00000000 1.00000000 0.9830508
44  1.00000000 0.98701299 1.00000000 1.00000000 0.98648649 1.00000000 0.9811321
45  1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.00000000 1.0000000
46  1.00000000 0.97222222 0.98360656 1.00000000 0.98571429 1.00000000 1.0000000
47  1.00000000 0.98571429 1.00000000 1.00000000 1.00000000 1.00000000 1.0000000
48  1.00000000 1.00000000 0.98648649 1.00000000 1.00000000 1.00000000 0.9855072
49  1.00000000 1.00000000 1.00000000 1.00000000 0.98734177 1.00000000 0.9838710
50  1.00000000 1.00000000 0.98387097 1.00000000 1.00000000 1.00000000 0.9833333
51  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
52  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
53  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
54  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
55  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
56  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
57  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
58  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
59  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
60  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
61  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
62  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
63  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
64  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
65  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
66  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
67  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
68  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
69  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
70  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
71  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
72  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
73  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
74  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
75  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
76  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
77  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
78  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
79  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
80  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
81  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
82  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
83  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
84  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
85  0.03278689 0.01333333 0.02816901 0.02816901 0.04109589 0.01492537 0.0000000
86  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
87  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
88  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
89  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
90  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
91  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
92  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
93  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
94  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
95  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
96  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
97  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
98  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
99  0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
100 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
101 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
102 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
103 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
104 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
105 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
106 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
107 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
108 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
109 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
110 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
111 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
112 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
113 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
114 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
115 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
116 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
117 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
118 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
119 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
120 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
121 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
122 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
123 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
124 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
125 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
126 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
127 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
128 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
129 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
130 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
131 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
132 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
133 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
134 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
135 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
136 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
137 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
138 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
139 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
140 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
141 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
142 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
143 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
144 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
145 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
146 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
147 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
148 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
149 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
150 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.0000000
            27         28         29        30         31         32         33
1   1.00000000 1.00000000 1.00000000 1.0000000 0.98591549 1.00000000 1.00000000
2   0.98591549 1.00000000 0.98484848 0.9841270 1.00000000 0.98571429 0.98437500
3   1.00000000 1.00000000 1.00000000 1.0000000 1.00000000 0.98611111 1.00000000
4   0.98795181 1.00000000 1.00000000 1.0000000 1.00000000 0.98000000 0.98611111
5   1.00000000 1.00000000 1.00000000 1.0000000 0.98611111 0.98507463 1.00000000
6   1.00000000 0.98734177 1.00000000 0.9821429 0.98333333 1.00000000 1.00000000
7   1.00000000 1.00000000 1.00000000 1.0000000 1.00000000 1.00000000 1.00000000
8   1.00000000 1.00000000 1.00000000 1.0000000 0.98717949 0.98529412 1.00000000
9   0.97058824 0.98571429 1.00000000 1.0000000 1.00000000 0.96875000 0.98591549
10  1.00000000 1.00000000 1.00000000 1.0000000 1.00000000 1.00000000 1.00000000
11  1.00000000 0.98507463 0.98684211 0.9677419 0.98571429 1.00000000 1.00000000
12  1.00000000 1.00000000 1.00000000 1.0000000 0.98550725 1.00000000 1.00000000
13  0.97468354 1.00000000 0.98684211 0.9843750 1.00000000 0.98360656 0.97402597
14  0.98717949 1.00000000 0.98837209 0.9843750 1.00000000 1.00000000 0.98750000
15  0.83050847 0.87931034 0.81690141 0.8235294 0.84615385 0.86000000 0.87692308
16  0.81578947 0.83950617 0.84146341 0.8333333 0.83333333 0.81666667 0.85333333
17  1.00000000 0.98630137 1.00000000 0.9866667 1.00000000 1.00000000 1.00000000
18  1.00000000 1.00000000 1.00000000 1.0000000 1.00000000 1.00000000 1.00000000
19  0.84000000 0.84146341 0.83544304 0.8000000 0.89333333 0.85245902 0.86842105
20  1.00000000 1.00000000 1.00000000 1.0000000 1.00000000 1.00000000 1.00000000
21  1.00000000 0.98809524 1.00000000 0.9871795 1.00000000 1.00000000 1.00000000
22  1.00000000 1.00000000 1.00000000 1.0000000 0.98387097 0.98333333 1.00000000
23  1.00000000 1.00000000 1.00000000 1.0000000 1.00000000 1.00000000 1.00000000
24  0.98529412 1.00000000 1.00000000 1.0000000 1.00000000 1.00000000 0.98809524
25  1.00000000 1.00000000 1.00000000 1.0000000 1.00000000 0.98412698 1.00000000
26  0.98529412 1.00000000 1.00000000 1.0000000 1.00000000 0.98113208 0.98529412
27  1.00000000 1.00000000 1.00000000 1.0000000 0.98529412 1.00000000 1.00000000
28  1.00000000 1.00000000 1.00000000 1.0000000 1.00000000 0.98507463 1.00000000
29  1.00000000 1.00000000 1.00000000 1.0000000 1.00000000 1.00000000 1.00000000
30  1.00000000 1.00000000 1.00000000 1.0000000 1.00000000 0.98360656 1.00000000
31  0.98529412 1.00000000 1.00000000 1.0000000 1.00000000 1.00000000 0.98412698
32  1.00000000 0.98507463 1.00000000 0.9836066 1.00000000 1.00000000 1.00000000
33  1.00000000 1.00000000 1.00000000 1.0000000 0.98412698 1.00000000 1.00000000
34  0.92537313 0.89705882 0.88571429 0.8524590 0.91525424 0.85714286 0.91891892
35  1.00000000 1.00000000 1.00000000 1.0000000 1.00000000 1.00000000 1.00000000
36  0.98795181 1.00000000 1.00000000 1.0000000 1.00000000 1.00000000 0.98461538
37  0.84722222 0.83076923 0.86666667 0.7971014 0.80645161 0.87096774 0.85294118
38  1.00000000 1.00000000 1.00000000 1.0000000 1.00000000 1.00000000 1.00000000
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1   1.00000000 1.00000000 0.92982456 0.98412698 1.0000000 1.00000000 0.98550725
2   1.00000000 0.97872340 0.98275862 0.98484848 0.9677419 1.00000000 1.00000000
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8   1.00000000 1.00000000 0.90909091 0.98484848 1.0000000 1.00000000 0.95833333
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16  0.81081081 0.83606557 0.87096774 0.85483871 0.8593750 0.84057971 0.86206897
17  1.00000000 1.00000000 0.96491228 1.00000000 0.9863014 1.00000000 0.97101449
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22  1.00000000 1.00000000 0.94117647 0.98305085 1.0000000 1.00000000 0.98360656
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30  1.00000000 1.00000000 0.95161290 1.00000000 1.0000000 1.00000000 0.98245614
31  1.00000000 0.98529412 1.00000000 1.00000000 0.9850746 1.00000000 1.00000000
32  1.00000000 1.00000000 0.96363636 1.00000000 0.9846154 1.00000000 0.96875000
33  1.00000000 1.00000000 0.90476190 0.98333333 1.0000000 1.00000000 0.97183099
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35  1.00000000 1.00000000 0.92727273 1.00000000 1.0000000 1.00000000 0.98245614
36  1.00000000 0.98484848 0.96721311 1.00000000 0.9873418 1.00000000 1.00000000
37  0.83116883 0.83050847 0.84745763 0.80597015 0.8448276 0.86956522 0.80597015
38  1.00000000 1.00000000 0.98529412 1.00000000 1.0000000 1.00000000 1.00000000
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40  1.00000000 1.00000000 0.95384615 1.00000000 1.0000000 1.00000000 1.00000000
41  1.00000000 1.00000000 0.97872340 0.98076923 1.0000000 1.00000000 0.96491228
42  0.95384615 0.97872340 1.00000000 0.96666667 0.9607843 0.95000000 0.96491228
43  1.00000000 0.98076923 0.96666667 1.00000000 0.9841270 1.00000000 0.98275862
44  1.00000000 1.00000000 0.96078431 0.98412698 1.0000000 1.00000000 0.95588235
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46  1.00000000 0.96491228 0.96491228 0.98275862 0.9558824 1.00000000 1.00000000
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102 0.01515152 0.63492063 0.65277778 0.63636364 0.65625000 0.70491803
103 0.00000000 0.92307692 0.82142857 0.92592593 0.82089552 0.91025641
104 0.01724138 0.90769231 0.89230769 0.78571429 0.87323944 0.85294118
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109 0.02702703 0.89473684 1.00000000 0.78947368 0.81159420 0.87500000
110 0.00000000 0.89189189 0.78947368 1.00000000 0.85294118 0.86111111
111 0.00000000 0.77142857 0.81159420 0.85294118 1.00000000 0.84375000
112 0.00000000 0.73913043 0.87500000 0.86111111 0.84375000 1.00000000
113 0.01282051 0.87878788 0.90540541 0.90277778 0.94047619 0.96153846
114 0.04109589 0.46774194 0.51315789 0.40000000 0.59677419 0.58208955
115 0.00000000 0.63157895 0.59375000 0.62318841 0.69841270 0.64912281
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117 0.00000000 0.86000000 0.88888889 0.75714286 0.79245283 0.88461538
118 0.00000000 0.92063492 0.85294118 1.00000000 0.89230769 0.80327869
119 0.00000000 0.90196078 0.82758621 0.90666667 0.72580645 0.85294118
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121 0.01333333 0.90000000 0.86301370 0.95238095 0.88235294 0.85507246
122 0.04918033 0.47272727 0.55555556 0.38571429 0.51724138 0.53030303
123 0.01492537 0.93243243 0.81944444 0.97183099 0.81159420 0.88333333
124 0.02631579 0.56716418 0.66153846 0.46666667 0.52380952 0.61904762
125 0.00000000 0.95522388 0.83870968 0.95312500 0.93220339 0.81355932
126 0.01265823 0.93220339 0.77215190 0.93827160 0.80263158 0.76923077
127 0.22535211 0.29687500 0.36486486 0.21621622 0.24637681 0.27536232
128 0.02898551 0.49090909 0.65625000 0.39705882 0.54838710 0.55072464
129 0.00000000 0.87096774 0.88059701 0.88732394 0.89855072 0.97959184
130 0.01492537 0.22807018 0.20338983 0.32558140 0.14545455 0.22727273
131 0.01315789 0.94202899 0.80952381 0.94736842 0.87142857 0.90140845
132 0.00000000 0.97727273 0.85245902 1.00000000 0.85000000 0.87692308
133 0.00000000 0.89285714 0.91935484 0.93939394 0.93650794 0.98437500
134 0.13432836 0.10344828 0.05882353 0.13235294 0.17647059 0.13636364
135 0.05405405 0.15277778 0.16216216 0.14285714 0.12500000 0.14084507
136 0.00000000 0.92307692 0.84000000 0.93333333 0.85245902 0.88888889
137 0.00000000 0.82089552 0.78260870 0.90000000 0.95000000 0.85135135
138 0.00000000 0.93421053 0.91025641 0.90277778 0.79710145 0.88732394
139 0.25373134 0.21311475 0.26388889 0.19718310 0.24137931 0.26865672
140 0.01818182 0.91803279 0.85135135 0.88000000 0.89655172 0.91044776
141 0.01666667 0.93103448 0.85915493 0.90410959 0.89041096 0.89062500
142 0.00000000 0.89090909 0.81690141 0.81428571 0.93421053 0.88888889
143 0.00000000 0.61904762 0.63888889 0.56790123 0.53448276 0.63235294
144 0.01538462 0.86206897 0.86666667 0.98507463 0.94339623 0.89830508
145 0.00000000 0.92727273 0.89655172 0.96000000 0.95081967 0.83333333
146 0.00000000 0.85245902 0.83333333 0.86153846 0.88888889 0.88461538
147 0.00000000 0.70149254 0.75409836 0.65277778 0.79104478 0.79661017
148 0.01639344 0.90384615 0.91549296 0.91549296 0.87500000 0.93548387
149 0.00000000 0.80701754 0.82051282 0.95714286 0.87301587 0.82812500
150 0.00000000 0.59615385 0.63235294 0.61333333 0.59420290 0.56164384
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112 0.96153846 0.58208955 0.64912281 0.87719298 0.88461538 0.80327869
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134 0.16049383 0.02898551 0.21052632 0.10714286 0.10606061 0.11428571
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137 0.87692308 0.50704225 0.67605634 0.98148148 0.83636364 0.87301587
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141 1.00000000 0.53623188 0.66666667 0.91379310 0.89041096 0.92424242
142 0.94029851 0.51948052 0.74193548 0.88333333 0.77966102 0.82089552
143 0.71014493 0.79687500 0.96825397 0.63076923 0.55223881 0.50000000
144 0.94666667 0.51666667 0.66666667 0.98181818 0.83636364 0.92857143
145 0.93670886 0.52307692 0.59322034 1.00000000 0.92187500 0.96428571
146 1.00000000 0.59375000 0.74576271 0.89583333 0.84848485 0.90909091
147 0.78160920 0.68918919 0.60655738 0.63235294 0.67741935 0.74666667
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149 0.92592593 0.57971014 0.70588235 0.92857143 0.83333333 0.92000000
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56  0.00000000 0.52238806 0.00000000 0.01470588 0.00000000 0.01408451
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63  0.00000000 0.44871795 0.00000000 0.01333333 0.00000000 0.01333333
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80  0.00000000 0.45588235 0.00000000 0.06557377 0.00000000 0.01351351
81  0.00000000 0.46575342 0.00000000 0.06060606 0.00000000 0.02564103
82  0.00000000 0.43478261 0.00000000 0.01428571 0.00000000 0.00000000
83  0.00000000 0.40000000 0.00000000 0.01694915 0.00000000 0.00000000
84  0.39705882 0.39285714 0.32857143 0.10937500 0.39285714 0.08955224
85  0.00000000 0.36764706 0.00000000 0.02777778 0.00000000 0.00000000
86  0.00000000 0.30508475 0.03030303 0.02985075 0.01351351 0.03076923
87  0.00000000 0.30000000 0.00000000 0.01369863 0.00000000 0.05882353
88  0.00000000 0.33802817 0.00000000 0.01428571 0.00000000 0.04615385
89  0.00000000 0.37500000 0.00000000 0.03125000 0.00000000 0.00000000
90  0.00000000 0.43939394 0.00000000 0.01587302 0.00000000 0.01250000
91  0.00000000 0.40000000 0.00000000 0.01612903 0.00000000 0.00000000
92  0.00000000 0.36923077 0.00000000 0.00000000 0.00000000 0.00000000
93  0.00000000 0.47761194 0.00000000 0.01612903 0.00000000 0.01612903
94  0.00000000 0.36842105 0.00000000 0.03389831 0.00000000 0.01562500
95  0.00000000 0.39682540 0.00000000 0.04918033 0.00000000 0.01923077
96  0.00000000 0.40983607 0.00000000 0.06153846 0.00000000 0.00000000
97  0.00000000 0.41538462 0.00000000 0.04918033 0.00000000 0.00000000
98  0.00000000 0.26562500 0.00000000 0.01639344 0.00000000 0.01754386
99  0.00000000 0.38571429 0.00000000 0.04225352 0.00000000 0.01408451
100 0.00000000 0.36986301 0.00000000 0.01388889 0.00000000 0.01265823
101 0.80327869 0.03278689 0.91780822 0.43283582 0.86419753 0.58441558
102 0.61403509 0.03389831 0.59701493 0.55555556 0.63380282 0.40322581
103 0.91549296 0.01428571 0.93023256 0.44117647 0.98701299 0.52564103
104 0.81944444 0.03846154 0.86666667 0.44117647 0.83529412 0.57746479
105 0.80000000 0.03225806 0.90322581 0.44642857 0.91891892 0.56250000
106 0.94736842 0.00000000 0.92592593 0.48000000 1.00000000 0.58490566
107 0.00000000 0.37500000 0.01333333 0.04918033 0.01492537 0.02631579
108 0.90196078 0.03508772 0.90000000 0.47272727 0.93243243 0.56716418
109 0.82758621 0.01562500 0.86301370 0.55555556 0.81944444 0.66153846
110 0.90666667 0.04225352 0.95238095 0.38571429 0.97183099 0.46666667
111 0.72580645 0.04545455 0.88235294 0.51724138 0.81159420 0.52380952
112 0.85294118 0.06349206 0.85507246 0.53030303 0.88333333 0.61904762
113 0.90625000 0.04225352 0.91666667 0.49206349 0.93421053 0.58571429
114 0.52054795 0.06349206 0.45000000 0.83076923 0.47222222 0.48717949
115 0.61904762 0.06349206 0.59090909 0.60937500 0.63157895 0.41428571
116 0.71212121 0.05555556 0.93750000 0.46938776 0.80701754 0.54098361
117 0.78688525 0.01470588 0.81481481 0.43636364 0.81666667 0.64062500
118 0.90196078 0.03571429 0.95652174 0.46153846 0.94117647 0.47826087
119 1.00000000 0.02941176 0.86764706 0.39682540 0.98529412 0.61971831
120 0.02941176 1.00000000 0.01562500 0.09615385 0.02941176 0.00000000
121 0.86764706 0.01562500 1.00000000 0.44444444 0.92000000 0.50724638
122 0.39682540 0.09615385 0.44444444 1.00000000 0.36363636 0.63934426
123 0.98529412 0.02941176 0.92000000 0.36363636 1.00000000 0.50704225
124 0.61971831 0.00000000 0.50724638 0.63934426 0.50704225 1.00000000
125 0.84126984 0.04166667 0.95588235 0.43333333 0.91428571 0.52112676
126 0.86585366 0.02941176 0.91891892 0.43076923 0.92000000 0.39726027
127 0.22388060 0.00000000 0.28787879 0.44615385 0.20779221 0.62121212
128 0.40909091 0.07575758 0.43209877 0.71666667 0.53731343 0.81428571
129 0.85714286 0.01587302 0.90322581 0.44230769 0.93150685 0.54666667
130 0.31818182 0.18181818 0.21875000 0.01470588 0.31506849 0.00000000
131 0.89855072 0.02631579 0.90361446 0.58064516 0.98765432 0.54651163
132 0.94915254 0.01666667 0.93333333 0.50000000 0.98461538 0.51515152
133 0.90000000 0.02857143 0.93846154 0.50000000 0.96052632 0.71428571
134 0.10526316 0.63076923 0.13432836 0.01538462 0.16049383 0.00000000
135 0.19402985 0.36764706 0.16049383 0.03333333 0.20000000 0.04166667
136 0.98437500 0.04411765 0.90540541 0.50000000 1.00000000 0.47692308
137 0.76190476 0.06153846 0.96610169 0.42647059 0.86567164 0.49230769
138 0.83529412 0.05797101 0.89189189 0.51515152 0.91954023 0.52000000
139 0.16666667 0.05357143 0.22727273 0.50793651 0.22033898 0.31343284
140 0.87931034 0.01724138 0.95588235 0.46296296 0.94202899 0.42857143
141 0.88333333 0.03896104 0.93055556 0.49019608 0.93846154 0.57333333
142 0.80357143 0.00000000 0.88333333 0.56250000 0.85000000 0.57142857
143 0.61538462 0.05797101 0.51898734 0.64383562 0.66666667 0.51351351
144 0.81818182 0.03333333 0.98461538 0.49056604 0.96491228 0.41071429
145 0.89230769 0.05454545 0.97014925 0.45000000 0.89705882 0.55172414
146 0.88461538 0.03125000 0.85454545 0.52459016 0.90000000 0.56603774
147 0.62068966 0.11290323 0.69014085 0.59649123 0.73134328 0.83116883
148 0.91525424 0.01492537 0.93220339 0.37735849 0.94366197 0.62857143
149 0.85483871 0.03030303 0.90909091 0.49122807 0.85483871 0.58571429
150 0.59420290 0.07692308 0.50000000 0.56451613 0.59420290 0.47058824
           125        126        127        128        129        130
1   0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
2   0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
3   0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
4   0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
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138 0.64102564 0.94285714 0.86567164 0.86764706 0.69565217 0.88888889
139 0.29729730 0.18571429 0.17647059 0.26785714 0.22222222 0.26666667
140 0.62857143 0.94029851 0.94117647 0.98387097 0.66666667 0.95312500
141 0.54545455 0.96825397 0.96551724 0.98550725 0.78125000 0.98484848
142 0.60606061 0.80769231 0.86666667 0.96296296 0.75384615 0.92857143
143