***************************************************************************** * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2019 The FindStatCrew * * * * This information is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. * ***************************************************************************** ----------------------------------------------------------------------------- Statistic identifier: St001378 ----------------------------------------------------------------------------- Collection: Integer partitions ----------------------------------------------------------------------------- Description: The product of the cohook lengths of the integer partition. For a cell $c = (i,j)$, the '''cohook length''' of $c$ is $h^*(c) = i+j-1$. This statistic is then $$\prod_{c \in \lambda} h^*(c).$$ ----------------------------------------------------------------------------- References: [1] Pak, I., Petrov, F., Sokolov, V. Hook inequalities [[arXiv:1903.11828]] ----------------------------------------------------------------------------- Code: def statistic(L): return prod( sum(x)+1 for x in L.cells() ) ----------------------------------------------------------------------------- Statistic values: [1] => 1 [2] => 2 [1,1] => 2 [3] => 6 [2,1] => 4 [1,1,1] => 6 [4] => 24 [3,1] => 12 [2,2] => 12 [2,1,1] => 12 [1,1,1,1] => 24 [5] => 120 [4,1] => 48 [3,2] => 36 [3,1,1] => 36 [2,2,1] => 36 [2,1,1,1] => 48 [1,1,1,1,1] => 120 [6] => 720 [5,1] => 240 [4,2] => 144 [4,1,1] => 144 [3,3] => 144 [3,2,1] => 108 [3,1,1,1] => 144 [2,2,2] => 144 [2,2,1,1] => 144 [2,1,1,1,1] => 240 [1,1,1,1,1,1] => 720 [7] => 5040 [6,1] => 1440 [5,2] => 720 [5,1,1] => 720 [4,3] => 576 [4,2,1] => 432 [4,1,1,1] => 576 [3,3,1] => 432 [3,2,2] => 432 [3,2,1,1] => 432 [3,1,1,1,1] => 720 [2,2,2,1] => 576 [2,2,1,1,1] => 720 [2,1,1,1,1,1] => 1440 [1,1,1,1,1,1,1] => 5040 [8] => 40320 [7,1] => 10080 [6,2] => 4320 [6,1,1] => 4320 [5,3] => 2880 [5,2,1] => 2160 [5,1,1,1] => 2880 [4,4] => 2880 [4,3,1] => 1728 [4,2,2] => 1728 [4,2,1,1] => 1728 [4,1,1,1,1] => 2880 [3,3,2] => 1728 [3,3,1,1] => 1728 [3,2,2,1] => 1728 [3,2,1,1,1] => 2160 [3,1,1,1,1,1] => 4320 [2,2,2,2] => 2880 [2,2,2,1,1] => 2880 [2,2,1,1,1,1] => 4320 [2,1,1,1,1,1,1] => 10080 [1,1,1,1,1,1,1,1] => 40320 [9] => 362880 [8,1] => 80640 [7,2] => 30240 [7,1,1] => 30240 [6,3] => 17280 [6,2,1] => 12960 [6,1,1,1] => 17280 [5,4] => 14400 [5,3,1] => 8640 [5,2,2] => 8640 [5,2,1,1] => 8640 [5,1,1,1,1] => 14400 [4,4,1] => 8640 [4,3,2] => 6912 [4,3,1,1] => 6912 [4,2,2,1] => 6912 [4,2,1,1,1] => 8640 [4,1,1,1,1,1] => 17280 [3,3,3] => 8640 [3,3,2,1] => 6912 [3,3,1,1,1] => 8640 [3,2,2,2] => 8640 [3,2,2,1,1] => 8640 [3,2,1,1,1,1] => 12960 [3,1,1,1,1,1,1] => 30240 [2,2,2,2,1] => 14400 [2,2,2,1,1,1] => 17280 [2,2,1,1,1,1,1] => 30240 [2,1,1,1,1,1,1,1] => 80640 [1,1,1,1,1,1,1,1,1] => 362880 [10] => 3628800 [9,1] => 725760 [8,2] => 241920 [8,1,1] => 241920 [7,3] => 120960 [7,2,1] => 90720 [7,1,1,1] => 120960 [6,4] => 86400 [6,3,1] => 51840 [6,2,2] => 51840 [6,2,1,1] => 51840 [6,1,1,1,1] => 86400 [5,5] => 86400 [5,4,1] => 43200 [5,3,2] => 34560 [5,3,1,1] => 34560 [5,2,2,1] => 34560 [5,2,1,1,1] => 43200 [5,1,1,1,1,1] => 86400 [4,4,2] => 34560 [4,4,1,1] => 34560 [4,3,3] => 34560 [4,3,2,1] => 27648 [4,3,1,1,1] => 34560 [4,2,2,2] => 34560 [4,2,2,1,1] => 34560 [4,2,1,1,1,1] => 51840 [4,1,1,1,1,1,1] => 120960 [3,3,3,1] => 34560 [3,3,2,2] => 34560 [3,3,2,1,1] => 34560 [3,3,1,1,1,1] => 51840 [3,2,2,2,1] => 43200 [3,2,2,1,1,1] => 51840 [3,2,1,1,1,1,1] => 90720 [3,1,1,1,1,1,1,1] => 241920 [2,2,2,2,2] => 86400 [2,2,2,2,1,1] => 86400 [2,2,2,1,1,1,1] => 120960 [2,2,1,1,1,1,1,1] => 241920 [2,1,1,1,1,1,1,1,1] => 725760 [1,1,1,1,1,1,1,1,1,1] => 3628800 [11] => 39916800 [10,1] => 7257600 [9,2] => 2177280 [9,1,1] => 2177280 [8,3] => 967680 [8,2,1] => 725760 [8,1,1,1] => 967680 [7,4] => 604800 [7,3,1] => 362880 [7,2,2] => 362880 [7,2,1,1] => 362880 [7,1,1,1,1] => 604800 [6,5] => 518400 [6,4,1] => 259200 [6,3,2] => 207360 [6,3,1,1] => 207360 [6,2,2,1] => 207360 [6,2,1,1,1] => 259200 [6,1,1,1,1,1] => 518400 [5,5,1] => 259200 [5,4,2] => 172800 [5,4,1,1] => 172800 [5,3,3] => 172800 [5,3,2,1] => 138240 [5,3,1,1,1] => 172800 [5,2,2,2] => 172800 [5,2,2,1,1] => 172800 [5,2,1,1,1,1] => 259200 [5,1,1,1,1,1,1] => 604800 [4,4,3] => 172800 [4,4,2,1] => 138240 [4,4,1,1,1] => 172800 [4,3,3,1] => 138240 [4,3,2,2] => 138240 [4,3,2,1,1] => 138240 [4,3,1,1,1,1] => 207360 [4,2,2,2,1] => 172800 [4,2,2,1,1,1] => 207360 [4,2,1,1,1,1,1] => 362880 [4,1,1,1,1,1,1,1] => 967680 [3,3,3,2] => 172800 [3,3,3,1,1] => 172800 [3,3,2,2,1] => 172800 [3,3,2,1,1,1] => 207360 [3,3,1,1,1,1,1] => 362880 [3,2,2,2,2] => 259200 [3,2,2,2,1,1] => 259200 [3,2,2,1,1,1,1] => 362880 [3,2,1,1,1,1,1,1] => 725760 [3,1,1,1,1,1,1,1,1] => 2177280 [2,2,2,2,2,1] => 518400 [2,2,2,2,1,1,1] => 604800 [2,2,2,1,1,1,1,1] => 967680 [2,2,1,1,1,1,1,1,1] => 2177280 [2,1,1,1,1,1,1,1,1,1] => 7257600 [1,1,1,1,1,1,1,1,1,1,1] => 39916800 [12] => 479001600 [11,1] => 79833600 [10,2] => 21772800 [10,1,1] => 21772800 [9,3] => 8709120 [9,2,1] => 6531840 [9,1,1,1] => 8709120 [8,4] => 4838400 [8,3,1] => 2903040 [8,2,2] => 2903040 [8,2,1,1] => 2903040 [8,1,1,1,1] => 4838400 [7,5] => 3628800 [7,4,1] => 1814400 [7,3,2] => 1451520 [7,3,1,1] => 1451520 [7,2,2,1] => 1451520 [7,2,1,1,1] => 1814400 [7,1,1,1,1,1] => 3628800 [6,6] => 3628800 [6,5,1] => 1555200 [6,4,2] => 1036800 [6,4,1,1] => 1036800 [6,3,3] => 1036800 [6,3,2,1] => 829440 [6,3,1,1,1] => 1036800 [6,2,2,2] => 1036800 [6,2,2,1,1] => 1036800 [6,2,1,1,1,1] => 1555200 [6,1,1,1,1,1,1] => 3628800 [5,5,2] => 1036800 [5,5,1,1] => 1036800 [5,4,3] => 864000 [5,4,2,1] => 691200 [5,4,1,1,1] => 864000 [5,3,3,1] => 691200 [5,3,2,2] => 691200 [5,3,2,1,1] => 691200 [5,3,1,1,1,1] => 1036800 [5,2,2,2,1] => 864000 [5,2,2,1,1,1] => 1036800 [5,2,1,1,1,1,1] => 1814400 [5,1,1,1,1,1,1,1] => 4838400 [4,4,4] => 1036800 [4,4,3,1] => 691200 [4,4,2,2] => 691200 [4,4,2,1,1] => 691200 [4,4,1,1,1,1] => 1036800 [4,3,3,2] => 691200 [4,3,3,1,1] => 691200 [4,3,2,2,1] => 691200 [4,3,2,1,1,1] => 829440 [4,3,1,1,1,1,1] => 1451520 [4,2,2,2,2] => 1036800 [4,2,2,2,1,1] => 1036800 [4,2,2,1,1,1,1] => 1451520 [4,2,1,1,1,1,1,1] => 2903040 [4,1,1,1,1,1,1,1,1] => 8709120 [3,3,3,3] => 1036800 [3,3,3,2,1] => 864000 [3,3,3,1,1,1] => 1036800 [3,3,2,2,2] => 1036800 [3,3,2,2,1,1] => 1036800 [3,3,2,1,1,1,1] => 1451520 [3,3,1,1,1,1,1,1] => 2903040 [3,2,2,2,2,1] => 1555200 [3,2,2,2,1,1,1] => 1814400 [3,2,2,1,1,1,1,1] => 2903040 [3,2,1,1,1,1,1,1,1] => 6531840 [3,1,1,1,1,1,1,1,1,1] => 21772800 [2,2,2,2,2,2] => 3628800 [2,2,2,2,2,1,1] => 3628800 [2,2,2,2,1,1,1,1] => 4838400 [2,2,2,1,1,1,1,1,1] => 8709120 [2,2,1,1,1,1,1,1,1,1] => 21772800 [2,1,1,1,1,1,1,1,1,1,1] => 79833600 [1,1,1,1,1,1,1,1,1,1,1,1] => 479001600 [12,1] => 958003200 [11,2] => 239500800 [11,1,1] => 239500800 [10,3] => 87091200 [10,2,1] => 65318400 [10,1,1,1] => 87091200 [9,4] => 43545600 [9,3,1] => 26127360 [9,2,2] => 26127360 [9,2,1,1] => 26127360 [9,1,1,1,1] => 43545600 [8,5] => 29030400 [8,4,1] => 14515200 [8,3,2] => 11612160 [8,3,1,1] => 11612160 [8,2,2,1] => 11612160 [8,2,1,1,1] => 14515200 [8,1,1,1,1,1] => 29030400 [7,6] => 25401600 [7,5,1] => 10886400 [7,4,2] => 7257600 [7,4,1,1] => 7257600 [7,3,3] => 7257600 [7,3,2,1] => 5806080 [7,3,1,1,1] => 7257600 [7,2,2,2] => 7257600 [7,2,2,1,1] => 7257600 [7,2,1,1,1,1] => 10886400 [7,1,1,1,1,1,1] => 25401600 [6,6,1] => 10886400 [6,5,2] => 6220800 [6,5,1,1] => 6220800 [6,4,3] => 5184000 [6,4,2,1] => 4147200 [6,4,1,1,1] => 5184000 [6,3,3,1] => 4147200 [6,3,2,2] => 4147200 [6,3,2,1,1] => 4147200 [6,3,1,1,1,1] => 6220800 [6,2,2,2,1] => 5184000 [6,2,2,1,1,1] => 6220800 [6,2,1,1,1,1,1] => 10886400 [6,1,1,1,1,1,1,1] => 29030400 [5,5,3] => 5184000 [5,5,2,1] => 4147200 [5,5,1,1,1] => 5184000 [5,4,4] => 5184000 [5,4,3,1] => 3456000 [5,4,2,2] => 3456000 [5,4,2,1,1] => 3456000 [5,4,1,1,1,1] => 5184000 [5,3,3,2] => 3456000 [5,3,3,1,1] => 3456000 [5,3,2,2,1] => 3456000 [5,3,2,1,1,1] => 4147200 [5,3,1,1,1,1,1] => 7257600 [5,2,2,2,2] => 5184000 [5,2,2,2,1,1] => 5184000 [5,2,2,1,1,1,1] => 7257600 [5,2,1,1,1,1,1,1] => 14515200 [5,1,1,1,1,1,1,1,1] => 43545600 [4,4,4,1] => 4147200 [4,4,3,2] => 3456000 [4,4,3,1,1] => 3456000 [4,4,2,2,1] => 3456000 [4,4,2,1,1,1] => 4147200 [4,4,1,1,1,1,1] => 7257600 [4,3,3,3] => 4147200 [4,3,3,2,1] => 3456000 [4,3,3,1,1,1] => 4147200 [4,3,2,2,2] => 4147200 [4,3,2,2,1,1] => 4147200 [4,3,2,1,1,1,1] => 5806080 [4,3,1,1,1,1,1,1] => 11612160 [4,2,2,2,2,1] => 6220800 [4,2,2,2,1,1,1] => 7257600 [4,2,2,1,1,1,1,1] => 11612160 [4,2,1,1,1,1,1,1,1] => 26127360 [4,1,1,1,1,1,1,1,1,1] => 87091200 [3,3,3,3,1] => 5184000 [3,3,3,2,2] => 5184000 [3,3,3,2,1,1] => 5184000 [3,3,3,1,1,1,1] => 7257600 [3,3,2,2,2,1] => 6220800 [3,3,2,2,1,1,1] => 7257600 [3,3,2,1,1,1,1,1] => 11612160 [3,3,1,1,1,1,1,1,1] => 26127360 [3,2,2,2,2,2] => 10886400 [3,2,2,2,2,1,1] => 10886400 [3,2,2,2,1,1,1,1] => 14515200 [3,2,2,1,1,1,1,1,1] => 26127360 [3,2,1,1,1,1,1,1,1,1] => 65318400 [3,1,1,1,1,1,1,1,1,1,1] => 239500800 [2,2,2,2,2,2,1] => 25401600 [2,2,2,2,2,1,1,1] => 29030400 [2,2,2,2,1,1,1,1,1] => 43545600 [2,2,2,1,1,1,1,1,1,1] => 87091200 [2,2,1,1,1,1,1,1,1,1,1] => 239500800 [2,1,1,1,1,1,1,1,1,1,1,1] => 958003200 [11,3] => 958003200 [11,2,1] => 718502400 [11,1,1,1] => 958003200 [10,4] => 435456000 [10,3,1] => 261273600 [10,2,2] => 261273600 [10,2,1,1] => 261273600 [10,1,1,1,1] => 435456000 [9,5] => 261273600 [9,4,1] => 130636800 [9,3,2] => 104509440 [9,3,1,1] => 104509440 [9,2,2,1] => 104509440 [9,2,1,1,1] => 130636800 [9,1,1,1,1,1] => 261273600 [8,6] => 203212800 [8,5,1] => 87091200 [8,4,2] => 58060800 [8,4,1,1] => 58060800 [8,3,3] => 58060800 [8,3,2,1] => 46448640 [8,3,1,1,1] => 58060800 [8,2,2,2] => 58060800 [8,2,2,1,1] => 58060800 [8,2,1,1,1,1] => 87091200 [8,1,1,1,1,1,1] => 203212800 [7,7] => 203212800 [7,6,1] => 76204800 [7,5,2] => 43545600 [7,5,1,1] => 43545600 [7,4,3] => 36288000 [7,4,2,1] => 29030400 [7,4,1,1,1] => 36288000 [7,3,3,1] => 29030400 [7,3,2,2] => 29030400 [7,3,2,1,1] => 29030400 [7,3,1,1,1,1] => 43545600 [7,2,2,2,1] => 36288000 [7,2,2,1,1,1] => 43545600 [7,2,1,1,1,1,1] => 76204800 [7,1,1,1,1,1,1,1] => 203212800 [6,6,2] => 43545600 [6,6,1,1] => 43545600 [6,5,3] => 31104000 [6,5,2,1] => 24883200 [6,5,1,1,1] => 31104000 [6,4,4] => 31104000 [6,4,3,1] => 20736000 [6,4,2,2] => 20736000 [6,4,2,1,1] => 20736000 [6,4,1,1,1,1] => 31104000 [6,3,3,2] => 20736000 [6,3,3,1,1] => 20736000 [6,3,2,2,1] => 20736000 [6,3,2,1,1,1] => 24883200 [6,3,1,1,1,1,1] => 43545600 [6,2,2,2,2] => 31104000 [6,2,2,2,1,1] => 31104000 [6,2,2,1,1,1,1] => 43545600 [6,2,1,1,1,1,1,1] => 87091200 [6,1,1,1,1,1,1,1,1] => 261273600 [5,5,4] => 31104000 [5,5,3,1] => 20736000 [5,5,2,2] => 20736000 [5,5,2,1,1] => 20736000 [5,5,1,1,1,1] => 31104000 [5,4,4,1] => 20736000 [5,4,3,2] => 17280000 [5,4,3,1,1] => 17280000 [5,4,2,2,1] => 17280000 [5,4,2,1,1,1] => 20736000 [5,4,1,1,1,1,1] => 36288000 [5,3,3,3] => 20736000 [5,3,3,2,1] => 17280000 [5,3,3,1,1,1] => 20736000 [5,3,2,2,2] => 20736000 [5,3,2,2,1,1] => 20736000 [5,3,2,1,1,1,1] => 29030400 [5,3,1,1,1,1,1,1] => 58060800 [5,2,2,2,2,1] => 31104000 [5,2,2,2,1,1,1] => 36288000 [5,2,2,1,1,1,1,1] => 58060800 [5,2,1,1,1,1,1,1,1] => 130636800 [5,1,1,1,1,1,1,1,1,1] => 435456000 [4,4,4,2] => 20736000 [4,4,4,1,1] => 20736000 [4,4,3,3] => 20736000 [4,4,3,2,1] => 17280000 [4,4,3,1,1,1] => 20736000 [4,4,2,2,2] => 20736000 [4,4,2,2,1,1] => 20736000 [4,4,2,1,1,1,1] => 29030400 [4,4,1,1,1,1,1,1] => 58060800 [4,3,3,3,1] => 20736000 [4,3,3,2,2] => 20736000 [4,3,3,2,1,1] => 20736000 [4,3,3,1,1,1,1] => 29030400 [4,3,2,2,2,1] => 24883200 [4,3,2,2,1,1,1] => 29030400 [4,3,2,1,1,1,1,1] => 46448640 [4,3,1,1,1,1,1,1,1] => 104509440 [4,2,2,2,2,2] => 43545600 [4,2,2,2,2,1,1] => 43545600 [4,2,2,2,1,1,1,1] => 58060800 [4,2,2,1,1,1,1,1,1] => 104509440 [4,2,1,1,1,1,1,1,1,1] => 261273600 [4,1,1,1,1,1,1,1,1,1,1] => 958003200 [3,3,3,3,2] => 31104000 [3,3,3,3,1,1] => 31104000 [3,3,3,2,2,1] => 31104000 [3,3,3,2,1,1,1] => 36288000 [3,3,3,1,1,1,1,1] => 58060800 [3,3,2,2,2,2] => 43545600 [3,3,2,2,2,1,1] => 43545600 [3,3,2,2,1,1,1,1] => 58060800 [3,3,2,1,1,1,1,1,1] => 104509440 [3,3,1,1,1,1,1,1,1,1] => 261273600 [3,2,2,2,2,2,1] => 76204800 [3,2,2,2,2,1,1,1] => 87091200 [3,2,2,2,1,1,1,1,1] => 130636800 [3,2,2,1,1,1,1,1,1,1] => 261273600 [3,2,1,1,1,1,1,1,1,1,1] => 718502400 [2,2,2,2,2,2,2] => 203212800 [2,2,2,2,2,2,1,1] => 203212800 [2,2,2,2,2,1,1,1,1] => 261273600 [2,2,2,2,1,1,1,1,1,1] => 435456000 [2,2,2,1,1,1,1,1,1,1,1] => 958003200 [10,4,1] => 1306368000 [10,3,2] => 1045094400 [10,3,1,1] => 1045094400 [10,2,2,1] => 1045094400 [10,2,1,1,1] => 1306368000 [9,6] => 1828915200 [9,5,1] => 783820800 [9,4,2] => 522547200 [9,4,1,1] => 522547200 [9,3,3] => 522547200 [9,3,2,1] => 418037760 [9,3,1,1,1] => 522547200 [9,2,2,2] => 522547200 [9,2,2,1,1] => 522547200 [9,2,1,1,1,1] => 783820800 [9,1,1,1,1,1,1] => 1828915200 [8,7] => 1625702400 [8,6,1] => 609638400 [8,5,2] => 348364800 [8,5,1,1] => 348364800 [8,4,3] => 290304000 [8,4,2,1] => 232243200 [8,4,1,1,1] => 290304000 [8,3,3,1] => 232243200 [8,3,2,2] => 232243200 [8,3,2,1,1] => 232243200 [8,3,1,1,1,1] => 348364800 [8,2,2,2,1] => 290304000 [8,2,2,1,1,1] => 348364800 [8,2,1,1,1,1,1] => 609638400 [8,1,1,1,1,1,1,1] => 1625702400 [7,7,1] => 609638400 [7,6,2] => 304819200 [7,6,1,1] => 304819200 [7,5,3] => 217728000 [7,5,2,1] => 174182400 [7,5,1,1,1] => 217728000 [7,4,4] => 217728000 [7,4,3,1] => 145152000 [7,4,2,2] => 145152000 [7,4,2,1,1] => 145152000 [7,4,1,1,1,1] => 217728000 [7,3,3,2] => 145152000 [7,3,3,1,1] => 145152000 [7,3,2,2,1] => 145152000 [7,3,2,1,1,1] => 174182400 [7,3,1,1,1,1,1] => 304819200 [7,2,2,2,2] => 217728000 [7,2,2,2,1,1] => 217728000 [7,2,2,1,1,1,1] => 304819200 [7,2,1,1,1,1,1,1] => 609638400 [7,1,1,1,1,1,1,1,1] => 1828915200 [6,6,3] => 217728000 [6,6,2,1] => 174182400 [6,6,1,1,1] => 217728000 [6,5,4] => 186624000 [6,5,3,1] => 124416000 [6,5,2,2] => 124416000 [6,5,2,1,1] => 124416000 [6,5,1,1,1,1] => 186624000 [6,4,4,1] => 124416000 [6,4,3,2] => 103680000 [6,4,3,1,1] => 103680000 [6,4,2,2,1] => 103680000 [6,4,2,1,1,1] => 124416000 [6,4,1,1,1,1,1] => 217728000 [6,3,3,3] => 124416000 [6,3,3,2,1] => 103680000 [6,3,3,1,1,1] => 124416000 [6,3,2,2,2] => 124416000 [6,3,2,2,1,1] => 124416000 [6,3,2,1,1,1,1] => 174182400 [6,3,1,1,1,1,1,1] => 348364800 [6,2,2,2,2,1] => 186624000 [6,2,2,2,1,1,1] => 217728000 [6,2,2,1,1,1,1,1] => 348364800 [6,2,1,1,1,1,1,1,1] => 783820800 [5,5,5] => 217728000 [5,5,4,1] => 124416000 [5,5,3,2] => 103680000 [5,5,3,1,1] => 103680000 [5,5,2,2,1] => 103680000 [5,5,2,1,1,1] => 124416000 [5,5,1,1,1,1,1] => 217728000 [5,4,4,2] => 103680000 [5,4,4,1,1] => 103680000 [5,4,3,3] => 103680000 [5,4,3,2,1] => 86400000 [5,4,3,1,1,1] => 103680000 [5,4,2,2,2] => 103680000 [5,4,2,2,1,1] => 103680000 [5,4,2,1,1,1,1] => 145152000 [5,4,1,1,1,1,1,1] => 290304000 [5,3,3,3,1] => 103680000 [5,3,3,2,2] => 103680000 [5,3,3,2,1,1] => 103680000 [5,3,3,1,1,1,1] => 145152000 [5,3,2,2,2,1] => 124416000 [5,3,2,2,1,1,1] => 145152000 [5,3,2,1,1,1,1,1] => 232243200 [5,3,1,1,1,1,1,1,1] => 522547200 [5,2,2,2,2,2] => 217728000 [5,2,2,2,2,1,1] => 217728000 [5,2,2,2,1,1,1,1] => 290304000 [5,2,2,1,1,1,1,1,1] => 522547200 [5,2,1,1,1,1,1,1,1,1] => 1306368000 [4,4,4,3] => 124416000 [4,4,4,2,1] => 103680000 [4,4,4,1,1,1] => 124416000 [4,4,3,3,1] => 103680000 [4,4,3,2,2] => 103680000 [4,4,3,2,1,1] => 103680000 [4,4,3,1,1,1,1] => 145152000 [4,4,2,2,2,1] => 124416000 [4,4,2,2,1,1,1] => 145152000 [4,4,2,1,1,1,1,1] => 232243200 [4,4,1,1,1,1,1,1,1] => 522547200 [4,3,3,3,2] => 124416000 [4,3,3,3,1,1] => 124416000 [4,3,3,2,2,1] => 124416000 [4,3,3,2,1,1,1] => 145152000 [4,3,3,1,1,1,1,1] => 232243200 [4,3,2,2,2,2] => 174182400 [4,3,2,2,2,1,1] => 174182400 [4,3,2,2,1,1,1,1] => 232243200 [4,3,2,1,1,1,1,1,1] => 418037760 [4,3,1,1,1,1,1,1,1,1] => 1045094400 [4,2,2,2,2,2,1] => 304819200 [4,2,2,2,2,1,1,1] => 348364800 [4,2,2,2,1,1,1,1,1] => 522547200 [4,2,2,1,1,1,1,1,1,1] => 1045094400 [3,3,3,3,3] => 217728000 [3,3,3,3,2,1] => 186624000 [3,3,3,3,1,1,1] => 217728000 [3,3,3,2,2,2] => 217728000 [3,3,3,2,2,1,1] => 217728000 [3,3,3,2,1,1,1,1] => 290304000 [3,3,3,1,1,1,1,1,1] => 522547200 [3,3,2,2,2,2,1] => 304819200 [3,3,2,2,2,1,1,1] => 348364800 [3,3,2,2,1,1,1,1,1] => 522547200 [3,3,2,1,1,1,1,1,1,1] => 1045094400 [3,2,2,2,2,2,2] => 609638400 [3,2,2,2,2,2,1,1] => 609638400 [3,2,2,2,2,1,1,1,1] => 783820800 [3,2,2,2,1,1,1,1,1,1] => 1306368000 [2,2,2,2,2,2,2,1] => 1625702400 [2,2,2,2,2,2,1,1,1] => 1828915200 [9,4,2,1] => 2090188800 [9,3,3,1] => 2090188800 [9,3,2,2] => 2090188800 [9,3,2,1,1] => 2090188800 [8,5,3] => 1741824000 [8,5,2,1] => 1393459200 [8,5,1,1,1] => 1741824000 [8,4,4] => 1741824000 [8,4,3,1] => 1161216000 [8,4,2,2] => 1161216000 [8,4,2,1,1] => 1161216000 [8,4,1,1,1,1] => 1741824000 [8,3,3,2] => 1161216000 [8,3,3,1,1] => 1161216000 [8,3,2,2,1] => 1161216000 [8,3,2,1,1,1] => 1393459200 [8,2,2,2,2] => 1741824000 [8,2,2,2,1,1] => 1741824000 [7,6,3] => 1524096000 [7,6,2,1] => 1219276800 [7,6,1,1,1] => 1524096000 [7,5,4] => 1306368000 [7,5,3,1] => 870912000 [7,5,2,2] => 870912000 [7,5,2,1,1] => 870912000 [7,5,1,1,1,1] => 1306368000 [7,4,4,1] => 870912000 [7,4,3,2] => 725760000 [7,4,3,1,1] => 725760000 [7,4,2,2,1] => 725760000 [7,4,2,1,1,1] => 870912000 [7,4,1,1,1,1,1] => 1524096000 [7,3,3,3] => 870912000 [7,3,3,2,1] => 725760000 [7,3,3,1,1,1] => 870912000 [7,3,2,2,2] => 870912000 [7,3,2,2,1,1] => 870912000 [7,3,2,1,1,1,1] => 1219276800 [7,2,2,2,2,1] => 1306368000 [7,2,2,2,1,1,1] => 1524096000 [6,6,4] => 1306368000 [6,6,3,1] => 870912000 [6,6,2,2] => 870912000 [6,6,2,1,1] => 870912000 [6,6,1,1,1,1] => 1306368000 [6,5,5] => 1306368000 [6,5,4,1] => 746496000 [6,5,3,2] => 622080000 [6,5,3,1,1] => 622080000 [6,5,2,2,1] => 622080000 [6,5,2,1,1,1] => 746496000 [6,5,1,1,1,1,1] => 1306368000 [6,4,4,2] => 622080000 [6,4,4,1,1] => 622080000 [6,4,3,3] => 622080000 [6,4,3,2,1] => 518400000 [6,4,3,1,1,1] => 622080000 [6,4,2,2,2] => 622080000 [6,4,2,2,1,1] => 622080000 [6,4,2,1,1,1,1] => 870912000 [6,4,1,1,1,1,1,1] => 1741824000 [6,3,3,3,1] => 622080000 [6,3,3,2,2] => 622080000 [6,3,3,2,1,1] => 622080000 [6,3,3,1,1,1,1] => 870912000 [6,3,2,2,2,1] => 746496000 [6,3,2,2,1,1,1] => 870912000 [6,3,2,1,1,1,1,1] => 1393459200 [6,2,2,2,2,2] => 1306368000 [6,2,2,2,2,1,1] => 1306368000 [6,2,2,2,1,1,1,1] => 1741824000 [5,5,5,1] => 870912000 [5,5,4,2] => 622080000 [5,5,4,1,1] => 622080000 [5,5,3,3] => 622080000 [5,5,3,2,1] => 518400000 [5,5,3,1,1,1] => 622080000 [5,5,2,2,2] => 622080000 [5,5,2,2,1,1] => 622080000 [5,5,2,1,1,1,1] => 870912000 [5,5,1,1,1,1,1,1] => 1741824000 [5,4,4,3] => 622080000 [5,4,4,2,1] => 518400000 [5,4,4,1,1,1] => 622080000 [5,4,3,3,1] => 518400000 [5,4,3,2,2] => 518400000 [5,4,3,2,1,1] => 518400000 [5,4,3,1,1,1,1] => 725760000 [5,4,2,2,2,1] => 622080000 [5,4,2,2,1,1,1] => 725760000 [5,4,2,1,1,1,1,1] => 1161216000 [5,3,3,3,2] => 622080000 [5,3,3,3,1,1] => 622080000 [5,3,3,2,2,1] => 622080000 [5,3,3,2,1,1,1] => 725760000 [5,3,3,1,1,1,1,1] => 1161216000 [5,3,2,2,2,2] => 870912000 [5,3,2,2,2,1,1] => 870912000 [5,3,2,2,1,1,1,1] => 1161216000 [5,3,2,1,1,1,1,1,1] => 2090188800 [5,2,2,2,2,2,1] => 1524096000 [5,2,2,2,2,1,1,1] => 1741824000 [4,4,4,4] => 870912000 [4,4,4,3,1] => 622080000 [4,4,4,2,2] => 622080000 [4,4,4,2,1,1] => 622080000 [4,4,4,1,1,1,1] => 870912000 [4,4,3,3,2] => 622080000 [4,4,3,3,1,1] => 622080000 [4,4,3,2,2,1] => 622080000 [4,4,3,2,1,1,1] => 725760000 [4,4,3,1,1,1,1,1] => 1161216000 [4,4,2,2,2,2] => 870912000 [4,4,2,2,2,1,1] => 870912000 [4,4,2,2,1,1,1,1] => 1161216000 [4,4,2,1,1,1,1,1,1] => 2090188800 [4,3,3,3,3] => 870912000 [4,3,3,3,2,1] => 746496000 [4,3,3,3,1,1,1] => 870912000 [4,3,3,2,2,2] => 870912000 [4,3,3,2,2,1,1] => 870912000 [4,3,3,2,1,1,1,1] => 1161216000 [4,3,3,1,1,1,1,1,1] => 2090188800 [4,3,2,2,2,2,1] => 1219276800 [4,3,2,2,2,1,1,1] => 1393459200 [4,3,2,2,1,1,1,1,1] => 2090188800 [3,3,3,3,3,1] => 1306368000 [3,3,3,3,2,2] => 1306368000 [3,3,3,3,2,1,1] => 1306368000 [3,3,3,3,1,1,1,1] => 1741824000 [3,3,3,2,2,2,1] => 1524096000 [3,3,3,2,2,1,1,1] => 1741824000 ----------------------------------------------------------------------------- Created: Mar 29, 2019 at 11:57 by Christian Stump ----------------------------------------------------------------------------- Last Updated: Mar 29, 2019 at 11:57 by Christian Stump