Identifier
Values
[[1,2]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[2,2]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[1],[2]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[1,3]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[2,3]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[3,3]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[1],[3]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[2],[3]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[1,1,2]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,2,2]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,2,2]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,1],[2]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,2],[2]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,4]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[2,4]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[3,4]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[4,4]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[1],[4]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[2],[4]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[3],[4]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[1,1,3]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,2,3]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,3,3]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,2,3]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,3,3]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[3,3,3]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,1],[3]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,2],[3]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,3],[2]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,3],[3]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,2],[3]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,3],[3]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1],[2],[3]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[1,5]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[2,5]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[3,5]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[4,5]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[5,5]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[1],[5]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[2],[5]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[3],[5]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[4],[5]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[1,1,4]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,2,4]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,3,4]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,4,4]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,2,4]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,3,4]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,4,4]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[3,3,4]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[3,4,4]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[4,4,4]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,1],[4]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,2],[4]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,4],[2]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,3],[4]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,4],[3]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,4],[4]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,2],[4]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,3],[4]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,4],[3]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,4],[4]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,3],[4]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,4],[4]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1],[2],[4]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[1],[3],[4]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[2],[3],[4]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[1,6]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[2,6]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[3,6]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[4,6]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[5,6]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[6,6]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[1],[6]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[2],[6]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[3],[6]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[4],[6]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[5],[6]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[1,1,5]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,2,5]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,3,5]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,4,5]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,5,5]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,2,5]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,3,5]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,4,5]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,5,5]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[3,3,5]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[3,4,5]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[3,5,5]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[4,4,5]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[4,5,5]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[5,5,5]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,1],[5]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,2],[5]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,5],[2]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,3],[5]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,5],[3]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,4],[5]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,5],[4]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,5],[5]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
>>> Load all 301 entries. <<<
[[2,2],[5]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,3],[5]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,5],[3]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,4],[5]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,5],[4]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,5],[5]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,3],[5]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,4],[5]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,5],[4]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,5],[5]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[4,4],[5]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[4,5],[5]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1],[2],[5]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[1],[3],[5]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[1],[4],[5]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[2],[3],[5]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[2],[4],[5]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[3],[4],[5]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[1,7]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[2,7]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[3,7]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[4,7]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[5,7]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[6,7]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[7,7]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[1],[7]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[2],[7]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[3],[7]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[4],[7]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[5],[7]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[6],[7]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[1,1,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,2,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,3,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,4,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,5,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,6,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,2,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,3,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,4,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,5,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,6,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[3,3,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[3,4,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[3,5,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[3,6,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[4,4,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[4,5,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[4,6,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[5,5,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[5,6,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[6,6,6]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,1],[6]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,2],[6]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,6],[2]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,3],[6]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,6],[3]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,4],[6]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,6],[4]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,5],[6]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,6],[5]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,6],[6]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,2],[6]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,3],[6]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,6],[3]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,4],[6]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,6],[4]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,5],[6]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,6],[5]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,6],[6]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,3],[6]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,4],[6]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,6],[4]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,5],[6]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,6],[5]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,6],[6]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[4,4],[6]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[4,5],[6]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[4,6],[5]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[4,6],[6]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[5,5],[6]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[5,6],[6]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1],[2],[6]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[1],[3],[6]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[1],[4],[6]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[1],[5],[6]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[2],[3],[6]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[2],[4],[6]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[2],[5],[6]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[3],[4],[6]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[3],[5],[6]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[4],[5],[6]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[1,8]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[2,8]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[3,8]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[4,8]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[5,8]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[6,8]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[7,8]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[8,8]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[1],[8]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[2],[8]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[3],[8]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[4],[8]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[5],[8]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[6],[8]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[7],[8]] => [2,1] => [[.,.],.] => [[[],[]],[]] => 2
[[1,1,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,2,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,3,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,4,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,5,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,6,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,7,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,2,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,3,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,4,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,5,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,6,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[2,7,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[3,3,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[3,4,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[3,5,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[3,6,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[3,7,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[4,4,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[4,5,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[4,6,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[4,7,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[5,5,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[5,6,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[5,7,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[6,6,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[6,7,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[7,7,7]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[1,1],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,2],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,7],[2]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,3],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,7],[3]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,4],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,7],[4]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,5],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,7],[5]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,6],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,7],[6]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1,7],[7]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,2],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,3],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,7],[3]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,4],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,7],[4]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,5],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,7],[5]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,6],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,7],[6]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[2,7],[7]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,3],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,4],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,7],[4]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,5],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,7],[5]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,6],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,7],[6]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[3,7],[7]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[4,4],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[4,5],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[4,7],[5]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[4,6],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[4,7],[6]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[4,7],[7]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[5,5],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[5,6],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[5,7],[6]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[5,7],[7]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[6,6],[7]] => [3,1,2] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[6,7],[7]] => [2,1,3] => [[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[1],[2],[7]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[1],[3],[7]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[1],[4],[7]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[1],[5],[7]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[1],[6],[7]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[2],[3],[7]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[2],[4],[7]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[2],[5],[7]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[2],[6],[7]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[3],[4],[7]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[3],[5],[7]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[3],[6],[7]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[4],[5],[7]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[4],[6],[7]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[5],[6],[7]] => [3,2,1] => [[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[[1]] => [1] => [.,.] => [[],[]] => 1
[[2]] => [1] => [.,.] => [[],[]] => 1
[[1,1]] => [1,2] => [.,[.,.]] => [[],[[],[]]] => 2
[[3]] => [1] => [.,.] => [[],[]] => 1
[[1,1,1]] => [1,2,3] => [.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[[4]] => [1] => [.,.] => [[],[]] => 1
[[5]] => [1] => [.,.] => [[],[]] => 1
[[6]] => [1] => [.,.] => [[],[]] => 1
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
Description
The depth minus 1 of an ordered tree.
The ordered trees of size $n$ are bijection with the Dyck paths of size $n-1$, and this statistic then corresponds to St000013The height of a Dyck path..
Map
to complete tree
Description
Return the same tree seen as an ordered tree. By default, leaves are transformed into actual nodes.
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottommost row (in English notation).
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.