edit this statistic or download as text // json
Identifier
Values
=>
[1]=>1 [1,2]=>1 [2,1]=>2 [1,2,3]=>1 [1,3,2]=>2 [2,1,3]=>2 [2,3,1]=>4 [3,1,2]=>4 [3,2,1]=>6 [1,2,3,4]=>1 [1,2,4,3]=>2 [1,3,2,4]=>2 [1,3,4,2]=>4 [1,4,2,3]=>4 [1,4,3,2]=>6 [2,1,3,4]=>2 [2,1,4,3]=>4 [2,3,1,4]=>4 [2,3,4,1]=>8 [2,4,1,3]=>8 [2,4,3,1]=>12 [3,1,2,4]=>4 [3,1,4,2]=>8 [3,2,1,4]=>6 [3,2,4,1]=>12 [3,4,1,2]=>14 [3,4,2,1]=>18 [4,1,2,3]=>8 [4,1,3,2]=>12 [4,2,1,3]=>12 [4,2,3,1]=>20 [4,3,1,2]=>18 [4,3,2,1]=>24 [1,2,3,4,5]=>1 [1,2,3,5,4]=>2 [1,2,4,3,5]=>2 [1,2,4,5,3]=>4 [1,2,5,3,4]=>4 [1,2,5,4,3]=>6 [1,3,2,4,5]=>2 [1,3,2,5,4]=>4 [1,3,4,2,5]=>4 [1,3,4,5,2]=>8 [1,3,5,2,4]=>8 [1,3,5,4,2]=>12 [1,4,2,3,5]=>4 [1,4,2,5,3]=>8 [1,4,3,2,5]=>6 [1,4,3,5,2]=>12 [1,4,5,2,3]=>14 [1,4,5,3,2]=>18 [1,5,2,3,4]=>8 [1,5,2,4,3]=>12 [1,5,3,2,4]=>12 [1,5,3,4,2]=>20 [1,5,4,2,3]=>18 [1,5,4,3,2]=>24 [2,1,3,4,5]=>2 [2,1,3,5,4]=>4 [2,1,4,3,5]=>4 [2,1,4,5,3]=>8 [2,1,5,3,4]=>8 [2,1,5,4,3]=>12 [2,3,1,4,5]=>4 [2,3,1,5,4]=>8 [2,3,4,1,5]=>8 [2,3,4,5,1]=>16 [2,3,5,1,4]=>16 [2,3,5,4,1]=>24 [2,4,1,3,5]=>8 [2,4,1,5,3]=>16 [2,4,3,1,5]=>12 [2,4,3,5,1]=>24 [2,4,5,1,3]=>28 [2,4,5,3,1]=>36 [2,5,1,3,4]=>16 [2,5,1,4,3]=>24 [2,5,3,1,4]=>24 [2,5,3,4,1]=>40 [2,5,4,1,3]=>36 [2,5,4,3,1]=>48 [3,1,2,4,5]=>4 [3,1,2,5,4]=>8 [3,1,4,2,5]=>8 [3,1,4,5,2]=>16 [3,1,5,2,4]=>16 [3,1,5,4,2]=>24 [3,2,1,4,5]=>6 [3,2,1,5,4]=>12 [3,2,4,1,5]=>12 [3,2,4,5,1]=>24 [3,2,5,1,4]=>24 [3,2,5,4,1]=>36 [3,4,1,2,5]=>14 [3,4,1,5,2]=>28 [3,4,2,1,5]=>18 [3,4,2,5,1]=>36 [3,4,5,1,2]=>46 [3,4,5,2,1]=>54 [3,5,1,2,4]=>28 [3,5,1,4,2]=>44 [3,5,2,1,4]=>36 [3,5,2,4,1]=>60 [3,5,4,1,2]=>60 [3,5,4,2,1]=>72 [4,1,2,3,5]=>8 [4,1,2,5,3]=>16 [4,1,3,2,5]=>12 [4,1,3,5,2]=>24 [4,1,5,2,3]=>28 [4,1,5,3,2]=>36 [4,2,1,3,5]=>12 [4,2,1,5,3]=>24 [4,2,3,1,5]=>20 [4,2,3,5,1]=>40 [4,2,5,1,3]=>44 [4,2,5,3,1]=>60 [4,3,1,2,5]=>18 [4,3,1,5,2]=>36 [4,3,2,1,5]=>24 [4,3,2,5,1]=>48 [4,3,5,1,2]=>60 [4,3,5,2,1]=>72 [4,5,1,2,3]=>46 [4,5,1,3,2]=>60 [4,5,2,1,3]=>60 [4,5,2,3,1]=>88 [4,5,3,1,2]=>78 [4,5,3,2,1]=>96 [5,1,2,3,4]=>16 [5,1,2,4,3]=>24 [5,1,3,2,4]=>24 [5,1,3,4,2]=>40 [5,1,4,2,3]=>36 [5,1,4,3,2]=>48 [5,2,1,3,4]=>24 [5,2,1,4,3]=>36 [5,2,3,1,4]=>40 [5,2,3,4,1]=>68 [5,2,4,1,3]=>60 [5,2,4,3,1]=>84 [5,3,1,2,4]=>36 [5,3,1,4,2]=>60 [5,3,2,1,4]=>48 [5,3,2,4,1]=>84 [5,3,4,1,2]=>88 [5,3,4,2,1]=>108 [5,4,1,2,3]=>54 [5,4,1,3,2]=>72 [5,4,2,1,3]=>72 [5,4,2,3,1]=>108 [5,4,3,1,2]=>96 [5,4,3,2,1]=>120 [1,2,3,4,5,6]=>1 [1,2,3,4,6,5]=>2 [1,2,3,5,4,6]=>2 [1,2,3,5,6,4]=>4 [1,2,3,6,4,5]=>4 [1,2,3,6,5,4]=>6 [1,2,4,3,5,6]=>2 [1,2,4,3,6,5]=>4 [1,2,4,5,3,6]=>4 [1,2,4,5,6,3]=>8 [1,2,4,6,3,5]=>8 [1,2,4,6,5,3]=>12 [1,2,5,3,4,6]=>4 [1,2,5,3,6,4]=>8 [1,2,5,4,3,6]=>6 [1,2,5,4,6,3]=>12 [1,2,5,6,3,4]=>14 [1,2,5,6,4,3]=>18 [1,2,6,3,4,5]=>8 [1,2,6,3,5,4]=>12 [1,2,6,4,3,5]=>12 [1,2,6,4,5,3]=>20 [1,2,6,5,3,4]=>18 [1,2,6,5,4,3]=>24 [1,3,2,4,5,6]=>2 [1,3,2,4,6,5]=>4 [1,3,2,5,4,6]=>4 [1,3,2,5,6,4]=>8 [1,3,2,6,4,5]=>8 [1,3,2,6,5,4]=>12 [1,3,4,2,5,6]=>4 [1,3,4,2,6,5]=>8 [1,3,4,5,2,6]=>8 [1,3,4,5,6,2]=>16 [1,3,4,6,2,5]=>16 [1,3,4,6,5,2]=>24 [1,3,5,2,4,6]=>8 [1,3,5,2,6,4]=>16 [1,3,5,4,2,6]=>12 [1,3,5,4,6,2]=>24 [1,3,5,6,2,4]=>28 [1,3,5,6,4,2]=>36 [1,3,6,2,4,5]=>16 [1,3,6,2,5,4]=>24 [1,3,6,4,2,5]=>24 [1,3,6,4,5,2]=>40 [1,3,6,5,2,4]=>36 [1,3,6,5,4,2]=>48 [1,4,2,3,5,6]=>4 [1,4,2,3,6,5]=>8 [1,4,2,5,3,6]=>8 [1,4,2,5,6,3]=>16 [1,4,2,6,3,5]=>16 [1,4,2,6,5,3]=>24 [1,4,3,2,5,6]=>6 [1,4,3,2,6,5]=>12 [1,4,3,5,2,6]=>12 [1,4,3,5,6,2]=>24 [1,4,3,6,2,5]=>24 [1,4,3,6,5,2]=>36 [1,4,5,2,3,6]=>14 [1,4,5,2,6,3]=>28 [1,4,5,3,2,6]=>18 [1,4,5,3,6,2]=>36 [1,4,5,6,2,3]=>46 [1,4,5,6,3,2]=>54 [1,4,6,2,3,5]=>28 [1,4,6,2,5,3]=>44 [1,4,6,3,2,5]=>36 [1,4,6,3,5,2]=>60 [1,4,6,5,2,3]=>60 [1,4,6,5,3,2]=>72 [1,5,2,3,4,6]=>8 [1,5,2,3,6,4]=>16 [1,5,2,4,3,6]=>12 [1,5,2,4,6,3]=>24 [1,5,2,6,3,4]=>28 [1,5,2,6,4,3]=>36 [1,5,3,2,4,6]=>12 [1,5,3,2,6,4]=>24 [1,5,3,4,2,6]=>20 [1,5,3,4,6,2]=>40 [1,5,3,6,2,4]=>44 [1,5,3,6,4,2]=>60 [1,5,4,2,3,6]=>18 [1,5,4,2,6,3]=>36 [1,5,4,3,2,6]=>24 [1,5,4,3,6,2]=>48 [1,5,4,6,2,3]=>60 [1,5,4,6,3,2]=>72 [1,5,6,2,3,4]=>46 [1,5,6,2,4,3]=>60 [1,5,6,3,2,4]=>60 [1,5,6,3,4,2]=>88 [1,5,6,4,2,3]=>78 [1,5,6,4,3,2]=>96 [1,6,2,3,4,5]=>16 [1,6,2,3,5,4]=>24 [1,6,2,4,3,5]=>24 [1,6,2,4,5,3]=>40 [1,6,2,5,3,4]=>36 [1,6,2,5,4,3]=>48 [1,6,3,2,4,5]=>24 [1,6,3,2,5,4]=>36 [1,6,3,4,2,5]=>40 [1,6,3,4,5,2]=>68 [1,6,3,5,2,4]=>60 [1,6,3,5,4,2]=>84 [1,6,4,2,3,5]=>36 [1,6,4,2,5,3]=>60 [1,6,4,3,2,5]=>48 [1,6,4,3,5,2]=>84 [1,6,4,5,2,3]=>88 [1,6,4,5,3,2]=>108 [1,6,5,2,3,4]=>54 [1,6,5,2,4,3]=>72 [1,6,5,3,2,4]=>72 [1,6,5,3,4,2]=>108 [1,6,5,4,2,3]=>96 [1,6,5,4,3,2]=>120 [2,1,3,4,5,6]=>2 [2,1,3,4,6,5]=>4 [2,1,3,5,4,6]=>4 [2,1,3,5,6,4]=>8 [2,1,3,6,4,5]=>8 [2,1,3,6,5,4]=>12 [2,1,4,3,5,6]=>4 [2,1,4,3,6,5]=>8 [2,1,4,5,3,6]=>8 [2,1,4,5,6,3]=>16 [2,1,4,6,3,5]=>16 [2,1,4,6,5,3]=>24 [2,1,5,3,4,6]=>8 [2,1,5,3,6,4]=>16 [2,1,5,4,3,6]=>12 [2,1,5,4,6,3]=>24 [2,1,5,6,3,4]=>28 [2,1,5,6,4,3]=>36 [2,1,6,3,4,5]=>16 [2,1,6,3,5,4]=>24 [2,1,6,4,3,5]=>24 [2,1,6,4,5,3]=>40 [2,1,6,5,3,4]=>36 [2,1,6,5,4,3]=>48 [2,3,1,4,5,6]=>4 [2,3,1,4,6,5]=>8 [2,3,1,5,4,6]=>8 [2,3,1,5,6,4]=>16 [2,3,1,6,4,5]=>16 [2,3,1,6,5,4]=>24 [2,3,4,1,5,6]=>8 [2,3,4,1,6,5]=>16 [2,3,4,5,1,6]=>16 [2,3,4,5,6,1]=>32 [2,3,4,6,1,5]=>32 [2,3,4,6,5,1]=>48 [2,3,5,1,4,6]=>16 [2,3,5,1,6,4]=>32 [2,3,5,4,1,6]=>24 [2,3,5,4,6,1]=>48 [2,3,5,6,1,4]=>56 [2,3,5,6,4,1]=>72 [2,3,6,1,4,5]=>32 [2,3,6,1,5,4]=>48 [2,3,6,4,1,5]=>48 [2,3,6,4,5,1]=>80 [2,3,6,5,1,4]=>72 [2,3,6,5,4,1]=>96 [2,4,1,3,5,6]=>8 [2,4,1,3,6,5]=>16 [2,4,1,5,3,6]=>16 [2,4,1,5,6,3]=>32 [2,4,1,6,3,5]=>32 [2,4,1,6,5,3]=>48 [2,4,3,1,5,6]=>12 [2,4,3,1,6,5]=>24 [2,4,3,5,1,6]=>24 [2,4,3,5,6,1]=>48 [2,4,3,6,1,5]=>48 [2,4,3,6,5,1]=>72 [2,4,5,1,3,6]=>28 [2,4,5,1,6,3]=>56 [2,4,5,3,1,6]=>36 [2,4,5,3,6,1]=>72 [2,4,5,6,1,3]=>92 [2,4,5,6,3,1]=>108 [2,4,6,1,3,5]=>56 [2,4,6,1,5,3]=>88 [2,4,6,3,1,5]=>72 [2,4,6,3,5,1]=>120 [2,4,6,5,1,3]=>120 [2,4,6,5,3,1]=>144 [2,5,1,3,4,6]=>16 [2,5,1,3,6,4]=>32 [2,5,1,4,3,6]=>24 [2,5,1,4,6,3]=>48 [2,5,1,6,3,4]=>56 [2,5,1,6,4,3]=>72 [2,5,3,1,4,6]=>24 [2,5,3,1,6,4]=>48 [2,5,3,4,1,6]=>40 [2,5,3,4,6,1]=>80 [2,5,3,6,1,4]=>88 [2,5,3,6,4,1]=>120 [2,5,4,1,3,6]=>36 [2,5,4,1,6,3]=>72 [2,5,4,3,1,6]=>48 [2,5,4,3,6,1]=>96 [2,5,4,6,1,3]=>120 [2,5,4,6,3,1]=>144 [2,5,6,1,3,4]=>92 [2,5,6,1,4,3]=>120 [2,5,6,3,1,4]=>120 [2,5,6,3,4,1]=>176 [2,5,6,4,1,3]=>156 [2,5,6,4,3,1]=>192 [2,6,1,3,4,5]=>32 [2,6,1,3,5,4]=>48 [2,6,1,4,3,5]=>48 [2,6,1,4,5,3]=>80 [2,6,1,5,3,4]=>72 [2,6,1,5,4,3]=>96 [2,6,3,1,4,5]=>48 [2,6,3,1,5,4]=>72 [2,6,3,4,1,5]=>80 [2,6,3,4,5,1]=>136 [2,6,3,5,1,4]=>120 [2,6,3,5,4,1]=>168 [2,6,4,1,3,5]=>72 [2,6,4,1,5,3]=>120 [2,6,4,3,1,5]=>96 [2,6,4,3,5,1]=>168 [2,6,4,5,1,3]=>176 [2,6,4,5,3,1]=>216 [2,6,5,1,3,4]=>108 [2,6,5,1,4,3]=>144 [2,6,5,3,1,4]=>144 [2,6,5,3,4,1]=>216 [2,6,5,4,1,3]=>192 [2,6,5,4,3,1]=>240 [3,1,2,4,5,6]=>4 [3,1,2,4,6,5]=>8 [3,1,2,5,4,6]=>8 [3,1,2,5,6,4]=>16 [3,1,2,6,4,5]=>16 [3,1,2,6,5,4]=>24 [3,1,4,2,5,6]=>8 [3,1,4,2,6,5]=>16 [3,1,4,5,2,6]=>16 [3,1,4,5,6,2]=>32 [3,1,4,6,2,5]=>32 [3,1,4,6,5,2]=>48 [3,1,5,2,4,6]=>16 [3,1,5,2,6,4]=>32 [3,1,5,4,2,6]=>24 [3,1,5,4,6,2]=>48 [3,1,5,6,2,4]=>56 [3,1,5,6,4,2]=>72 [3,1,6,2,4,5]=>32 [3,1,6,2,5,4]=>48 [3,1,6,4,2,5]=>48 [3,1,6,4,5,2]=>80 [3,1,6,5,2,4]=>72 [3,1,6,5,4,2]=>96 [3,2,1,4,5,6]=>6 [3,2,1,4,6,5]=>12 [3,2,1,5,4,6]=>12 [3,2,1,5,6,4]=>24 [3,2,1,6,4,5]=>24 [3,2,1,6,5,4]=>36 [3,2,4,1,5,6]=>12 [3,2,4,1,6,5]=>24 [3,2,4,5,1,6]=>24 [3,2,4,5,6,1]=>48 [3,2,4,6,1,5]=>48 [3,2,4,6,5,1]=>72 [3,2,5,1,4,6]=>24 [3,2,5,1,6,4]=>48 [3,2,5,4,1,6]=>36 [3,2,5,4,6,1]=>72 [3,2,5,6,1,4]=>84 [3,2,5,6,4,1]=>108 [3,2,6,1,4,5]=>48 [3,2,6,1,5,4]=>72 [3,2,6,4,1,5]=>72 [3,2,6,4,5,1]=>120 [3,2,6,5,1,4]=>108 [3,2,6,5,4,1]=>144 [3,4,1,2,5,6]=>14 [3,4,1,2,6,5]=>28 [3,4,1,5,2,6]=>28 [3,4,1,5,6,2]=>56 [3,4,1,6,2,5]=>56 [3,4,1,6,5,2]=>84 [3,4,2,1,5,6]=>18 [3,4,2,1,6,5]=>36 [3,4,2,5,1,6]=>36 [3,4,2,5,6,1]=>72 [3,4,2,6,1,5]=>72 [3,4,2,6,5,1]=>108 [3,4,5,1,2,6]=>46 [3,4,5,1,6,2]=>92 [3,4,5,2,1,6]=>54 [3,4,5,2,6,1]=>108 [3,4,5,6,1,2]=>146 [3,4,5,6,2,1]=>162 [3,4,6,1,2,5]=>92 [3,4,6,1,5,2]=>148 [3,4,6,2,1,5]=>108 [3,4,6,2,5,1]=>180 [3,4,6,5,1,2]=>192 [3,4,6,5,2,1]=>216 [3,5,1,2,4,6]=>28 [3,5,1,2,6,4]=>56 [3,5,1,4,2,6]=>44 [3,5,1,4,6,2]=>88 [3,5,1,6,2,4]=>100 [3,5,1,6,4,2]=>132 [3,5,2,1,4,6]=>36 [3,5,2,1,6,4]=>72 [3,5,2,4,1,6]=>60 [3,5,2,4,6,1]=>120 [3,5,2,6,1,4]=>132 [3,5,2,6,4,1]=>180 [3,5,4,1,2,6]=>60 [3,5,4,1,6,2]=>120 [3,5,4,2,1,6]=>72 [3,5,4,2,6,1]=>144 [3,5,4,6,1,2]=>192 [3,5,4,6,2,1]=>216 [3,5,6,1,2,4]=>152 [3,5,6,1,4,2]=>208 [3,5,6,2,1,4]=>180 [3,5,6,2,4,1]=>264 [3,5,6,4,1,2]=>252 [3,5,6,4,2,1]=>288 [3,6,1,2,4,5]=>56 [3,6,1,2,5,4]=>84 [3,6,1,4,2,5]=>88 [3,6,1,4,5,2]=>148 [3,6,1,5,2,4]=>132 [3,6,1,5,4,2]=>180 [3,6,2,1,4,5]=>72 [3,6,2,1,5,4]=>108 [3,6,2,4,1,5]=>120 [3,6,2,4,5,1]=>204 [3,6,2,5,1,4]=>180 [3,6,2,5,4,1]=>252 [3,6,4,1,2,5]=>120 [3,6,4,1,5,2]=>204 [3,6,4,2,1,5]=>144 [3,6,4,2,5,1]=>252 [3,6,4,5,1,2]=>284 [3,6,4,5,2,1]=>324 [3,6,5,1,2,4]=>180 [3,6,5,1,4,2]=>252 [3,6,5,2,1,4]=>216 [3,6,5,2,4,1]=>324 [3,6,5,4,1,2]=>312 [3,6,5,4,2,1]=>360 [4,1,2,3,5,6]=>8 [4,1,2,3,6,5]=>16 [4,1,2,5,3,6]=>16 [4,1,2,5,6,3]=>32 [4,1,2,6,3,5]=>32 [4,1,2,6,5,3]=>48 [4,1,3,2,5,6]=>12 [4,1,3,2,6,5]=>24 [4,1,3,5,2,6]=>24 [4,1,3,5,6,2]=>48 [4,1,3,6,2,5]=>48 [4,1,3,6,5,2]=>72 [4,1,5,2,3,6]=>28 [4,1,5,2,6,3]=>56 [4,1,5,3,2,6]=>36 [4,1,5,3,6,2]=>72 [4,1,5,6,2,3]=>92 [4,1,5,6,3,2]=>108 [4,1,6,2,3,5]=>56 [4,1,6,2,5,3]=>88 [4,1,6,3,2,5]=>72 [4,1,6,3,5,2]=>120 [4,1,6,5,2,3]=>120 [4,1,6,5,3,2]=>144 [4,2,1,3,5,6]=>12 [4,2,1,3,6,5]=>24 [4,2,1,5,3,6]=>24 [4,2,1,5,6,3]=>48 [4,2,1,6,3,5]=>48 [4,2,1,6,5,3]=>72 [4,2,3,1,5,6]=>20 [4,2,3,1,6,5]=>40 [4,2,3,5,1,6]=>40 [4,2,3,5,6,1]=>80 [4,2,3,6,1,5]=>80 [4,2,3,6,5,1]=>120 [4,2,5,1,3,6]=>44 [4,2,5,1,6,3]=>88 [4,2,5,3,1,6]=>60 [4,2,5,3,6,1]=>120 [4,2,5,6,1,3]=>148 [4,2,5,6,3,1]=>180 [4,2,6,1,3,5]=>88 [4,2,6,1,5,3]=>136 [4,2,6,3,1,5]=>120 [4,2,6,3,5,1]=>200 [4,2,6,5,1,3]=>192 [4,2,6,5,3,1]=>240 [4,3,1,2,5,6]=>18 [4,3,1,2,6,5]=>36 [4,3,1,5,2,6]=>36 [4,3,1,5,6,2]=>72 [4,3,1,6,2,5]=>72 [4,3,1,6,5,2]=>108 [4,3,2,1,5,6]=>24 [4,3,2,1,6,5]=>48 [4,3,2,5,1,6]=>48 [4,3,2,5,6,1]=>96 [4,3,2,6,1,5]=>96 [4,3,2,6,5,1]=>144 [4,3,5,1,2,6]=>60 [4,3,5,1,6,2]=>120 [4,3,5,2,1,6]=>72 [4,3,5,2,6,1]=>144 [4,3,5,6,1,2]=>192 [4,3,5,6,2,1]=>216 [4,3,6,1,2,5]=>120 [4,3,6,1,5,2]=>192 [4,3,6,2,1,5]=>144 [4,3,6,2,5,1]=>240 [4,3,6,5,1,2]=>252 [4,3,6,5,2,1]=>288 [4,5,1,2,3,6]=>46 [4,5,1,2,6,3]=>92 [4,5,1,3,2,6]=>60 [4,5,1,3,6,2]=>120 [4,5,1,6,2,3]=>152 [4,5,1,6,3,2]=>180 [4,5,2,1,3,6]=>60 [4,5,2,1,6,3]=>120 [4,5,2,3,1,6]=>88 [4,5,2,3,6,1]=>176 [4,5,2,6,1,3]=>208 [4,5,2,6,3,1]=>264 [4,5,3,1,2,6]=>78 [4,5,3,1,6,2]=>156 [4,5,3,2,1,6]=>96 [4,5,3,2,6,1]=>192 [4,5,3,6,1,2]=>252 [4,5,3,6,2,1]=>288 [4,5,6,1,2,3]=>230 [4,5,6,1,3,2]=>276 [4,5,6,2,1,3]=>276 [4,5,6,2,3,1]=>368 [4,5,6,3,1,2]=>330 [4,5,6,3,2,1]=>384 [4,6,1,2,3,5]=>92 [4,6,1,2,5,3]=>148 [4,6,1,3,2,5]=>120 [4,6,1,3,5,2]=>204 [4,6,1,5,2,3]=>208 [4,6,1,5,3,2]=>252 [4,6,2,1,3,5]=>120 [4,6,2,1,5,3]=>192 [4,6,2,3,1,5]=>176 [4,6,2,3,5,1]=>304 [4,6,2,5,1,3]=>296 [4,6,2,5,3,1]=>384 [4,6,3,1,2,5]=>156 [4,6,3,1,5,2]=>264 [4,6,3,2,1,5]=>192 [4,6,3,2,5,1]=>336 [4,6,3,5,1,2]=>372 [4,6,3,5,2,1]=>432 [4,6,5,1,2,3]=>276 [4,6,5,1,3,2]=>336 [4,6,5,2,1,3]=>336 [4,6,5,2,3,1]=>456 [4,6,5,3,1,2]=>408 [4,6,5,3,2,1]=>480 [5,1,2,3,4,6]=>16 [5,1,2,3,6,4]=>32 [5,1,2,4,3,6]=>24 [5,1,2,4,6,3]=>48 [5,1,2,6,3,4]=>56 [5,1,2,6,4,3]=>72 [5,1,3,2,4,6]=>24 [5,1,3,2,6,4]=>48 [5,1,3,4,2,6]=>40 [5,1,3,4,6,2]=>80 [5,1,3,6,2,4]=>88 [5,1,3,6,4,2]=>120 [5,1,4,2,3,6]=>36 [5,1,4,2,6,3]=>72 [5,1,4,3,2,6]=>48 [5,1,4,3,6,2]=>96 [5,1,4,6,2,3]=>120 [5,1,4,6,3,2]=>144 [5,1,6,2,3,4]=>92 [5,1,6,2,4,3]=>120 [5,1,6,3,2,4]=>120 [5,1,6,3,4,2]=>176 [5,1,6,4,2,3]=>156 [5,1,6,4,3,2]=>192 [5,2,1,3,4,6]=>24 [5,2,1,3,6,4]=>48 [5,2,1,4,3,6]=>36 [5,2,1,4,6,3]=>72 [5,2,1,6,3,4]=>84 [5,2,1,6,4,3]=>108 [5,2,3,1,4,6]=>40 [5,2,3,1,6,4]=>80 [5,2,3,4,1,6]=>68 [5,2,3,4,6,1]=>136 [5,2,3,6,1,4]=>148 [5,2,3,6,4,1]=>204 [5,2,4,1,3,6]=>60 [5,2,4,1,6,3]=>120 [5,2,4,3,1,6]=>84 [5,2,4,3,6,1]=>168 [5,2,4,6,1,3]=>204 [5,2,4,6,3,1]=>252 [5,2,6,1,3,4]=>148 [5,2,6,1,4,3]=>192 [5,2,6,3,1,4]=>204 [5,2,6,3,4,1]=>304 [5,2,6,4,1,3]=>264 [5,2,6,4,3,1]=>336 [5,3,1,2,4,6]=>36 [5,3,1,2,6,4]=>72 [5,3,1,4,2,6]=>60 [5,3,1,4,6,2]=>120 [5,3,1,6,2,4]=>132 [5,3,1,6,4,2]=>180 [5,3,2,1,4,6]=>48 [5,3,2,1,6,4]=>96 [5,3,2,4,1,6]=>84 [5,3,2,4,6,1]=>168 [5,3,2,6,1,4]=>180 [5,3,2,6,4,1]=>252 [5,3,4,1,2,6]=>88 [5,3,4,1,6,2]=>176 [5,3,4,2,1,6]=>108 [5,3,4,2,6,1]=>216 [5,3,4,6,1,2]=>284 [5,3,4,6,2,1]=>324 [5,3,6,1,2,4]=>208 [5,3,6,1,4,2]=>296 [5,3,6,2,1,4]=>252 [5,3,6,2,4,1]=>384 [5,3,6,4,1,2]=>372 [5,3,6,4,2,1]=>432 [5,4,1,2,3,6]=>54 [5,4,1,2,6,3]=>108 [5,4,1,3,2,6]=>72 [5,4,1,3,6,2]=>144 [5,4,1,6,2,3]=>180 [5,4,1,6,3,2]=>216 [5,4,2,1,3,6]=>72 [5,4,2,1,6,3]=>144 [5,4,2,3,1,6]=>108 [5,4,2,3,6,1]=>216 [5,4,2,6,1,3]=>252 [5,4,2,6,3,1]=>324 [5,4,3,1,2,6]=>96 [5,4,3,1,6,2]=>192 [5,4,3,2,1,6]=>120 [5,4,3,2,6,1]=>240 [5,4,3,6,1,2]=>312 [5,4,3,6,2,1]=>360 [5,4,6,1,2,3]=>276 [5,4,6,1,3,2]=>336 [5,4,6,2,1,3]=>336 [5,4,6,2,3,1]=>456 [5,4,6,3,1,2]=>408 [5,4,6,3,2,1]=>480 [5,6,1,2,3,4]=>146 [5,6,1,2,4,3]=>192 [5,6,1,3,2,4]=>192 [5,6,1,3,4,2]=>284 [5,6,1,4,2,3]=>252 [5,6,1,4,3,2]=>312 [5,6,2,1,3,4]=>192 [5,6,2,1,4,3]=>252 [5,6,2,3,1,4]=>284 [5,6,2,3,4,1]=>436 [5,6,2,4,1,3]=>372 [5,6,2,4,3,1]=>492 [5,6,3,1,2,4]=>252 [5,6,3,1,4,2]=>372 [5,6,3,2,1,4]=>312 [5,6,3,2,4,1]=>492 [5,6,3,4,1,2]=>488 [5,6,3,4,2,1]=>576 [5,6,4,1,2,3]=>330 [5,6,4,1,3,2]=>408 [5,6,4,2,1,3]=>408 [5,6,4,2,3,1]=>564 [5,6,4,3,1,2]=>504 [5,6,4,3,2,1]=>600 [6,1,2,3,4,5]=>32 [6,1,2,3,5,4]=>48 [6,1,2,4,3,5]=>48 [6,1,2,4,5,3]=>80 [6,1,2,5,3,4]=>72 [6,1,2,5,4,3]=>96 [6,1,3,2,4,5]=>48 [6,1,3,2,5,4]=>72 [6,1,3,4,2,5]=>80 [6,1,3,4,5,2]=>136 [6,1,3,5,2,4]=>120 [6,1,3,5,4,2]=>168 [6,1,4,2,3,5]=>72 [6,1,4,2,5,3]=>120 [6,1,4,3,2,5]=>96 [6,1,4,3,5,2]=>168 [6,1,4,5,2,3]=>176 [6,1,4,5,3,2]=>216 [6,1,5,2,3,4]=>108 [6,1,5,2,4,3]=>144 [6,1,5,3,2,4]=>144 [6,1,5,3,4,2]=>216 [6,1,5,4,2,3]=>192 [6,1,5,4,3,2]=>240 [6,2,1,3,4,5]=>48 [6,2,1,3,5,4]=>72 [6,2,1,4,3,5]=>72 [6,2,1,4,5,3]=>120 [6,2,1,5,3,4]=>108 [6,2,1,5,4,3]=>144 [6,2,3,1,4,5]=>80 [6,2,3,1,5,4]=>120 [6,2,3,4,1,5]=>136 [6,2,3,4,5,1]=>232 [6,2,3,5,1,4]=>204 [6,2,3,5,4,1]=>288 [6,2,4,1,3,5]=>120 [6,2,4,1,5,3]=>200 [6,2,4,3,1,5]=>168 [6,2,4,3,5,1]=>296 [6,2,4,5,1,3]=>304 [6,2,4,5,3,1]=>384 [6,2,5,1,3,4]=>180 [6,2,5,1,4,3]=>240 [6,2,5,3,1,4]=>252 [6,2,5,3,4,1]=>384 [6,2,5,4,1,3]=>336 [6,2,5,4,3,1]=>432 [6,3,1,2,4,5]=>72 [6,3,1,2,5,4]=>108 [6,3,1,4,2,5]=>120 [6,3,1,4,5,2]=>204 [6,3,1,5,2,4]=>180 [6,3,1,5,4,2]=>252 [6,3,2,1,4,5]=>96 [6,3,2,1,5,4]=>144 [6,3,2,4,1,5]=>168 [6,3,2,4,5,1]=>288 [6,3,2,5,1,4]=>252 [6,3,2,5,4,1]=>360 [6,3,4,1,2,5]=>176 [6,3,4,1,5,2]=>304 [6,3,4,2,1,5]=>216 [6,3,4,2,5,1]=>384 [6,3,4,5,1,2]=>436 [6,3,4,5,2,1]=>504 [6,3,5,1,2,4]=>264 [6,3,5,1,4,2]=>384 [6,3,5,2,1,4]=>324 [6,3,5,2,4,1]=>504 [6,3,5,4,1,2]=>492 [6,3,5,4,2,1]=>576 [6,4,1,2,3,5]=>108 [6,4,1,2,5,3]=>180 [6,4,1,3,2,5]=>144 [6,4,1,3,5,2]=>252 [6,4,1,5,2,3]=>264 [6,4,1,5,3,2]=>324 [6,4,2,1,3,5]=>144 [6,4,2,1,5,3]=>240 [6,4,2,3,1,5]=>216 [6,4,2,3,5,1]=>384 [6,4,2,5,1,3]=>384 [6,4,2,5,3,1]=>504 [6,4,3,1,2,5]=>192 [6,4,3,1,5,2]=>336 [6,4,3,2,1,5]=>240 [6,4,3,2,5,1]=>432 [6,4,3,5,1,2]=>492 [6,4,3,5,2,1]=>576 [6,4,5,1,2,3]=>368 [6,4,5,1,3,2]=>456 [6,4,5,2,1,3]=>456 [6,4,5,2,3,1]=>632 [6,4,5,3,1,2]=>564 [6,4,5,3,2,1]=>672 [6,5,1,2,3,4]=>162 [6,5,1,2,4,3]=>216 [6,5,1,3,2,4]=>216 [6,5,1,3,4,2]=>324 [6,5,1,4,2,3]=>288 [6,5,1,4,3,2]=>360 [6,5,2,1,3,4]=>216 [6,5,2,1,4,3]=>288 [6,5,2,3,1,4]=>324 [6,5,2,3,4,1]=>504 [6,5,2,4,1,3]=>432 [6,5,2,4,3,1]=>576 [6,5,3,1,2,4]=>288 [6,5,3,1,4,2]=>432 [6,5,3,2,1,4]=>360 [6,5,3,2,4,1]=>576 [6,5,3,4,1,2]=>576 [6,5,3,4,2,1]=>684 [6,5,4,1,2,3]=>384 [6,5,4,1,3,2]=>480 [6,5,4,2,1,3]=>480 [6,5,4,2,3,1]=>672 [6,5,4,3,1,2]=>600 [6,5,4,3,2,1]=>720
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Description
The number of elements less than or equal to the given element in Bruhat order.
Code
def statistic(pi):
    return len([y for y in Permutations(pi.size()) if y.bruhat_lequal(pi)])
Created
Jun 15, 2013 at 13:19 by Chris Berg
Updated
Apr 01, 2015 at 21:31 by Martin Rubey