Processing math: 100%

Identifier
Values
([],1) => [1] => [1] => [[1]] => 1
([],2) => [2] => [1,1] => [[1],[2]] => 1
([(0,1)],2) => [1] => [1] => [[1]] => 1
([],3) => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 2
([(1,2)],3) => [3] => [1,1,1] => [[1],[2],[3]] => 1
([(0,1),(0,2)],3) => [2] => [1,1] => [[1],[2]] => 1
([(0,2),(2,1)],3) => [1] => [1] => [[1]] => 1
([(0,2),(1,2)],3) => [2] => [1,1] => [[1],[2]] => 1
([(2,3)],4) => [4,4,4] => [3,3,3,3] => [[1,2,3],[4,5,6],[7,8,9],[10,11,12]] => 3
([(1,2),(1,3)],4) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(0,1),(0,2),(0,3)],4) => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 2
([(0,2),(0,3),(3,1)],4) => [3] => [1,1,1] => [[1],[2],[3]] => 1
([(0,1),(0,2),(1,3),(2,3)],4) => [2] => [1,1] => [[1],[2]] => 1
([(1,2),(2,3)],4) => [4] => [1,1,1,1] => [[1],[2],[3],[4]] => 1
([(0,3),(3,1),(3,2)],4) => [2] => [1,1] => [[1],[2]] => 1
([(1,3),(2,3)],4) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(0,3),(1,3),(3,2)],4) => [2] => [1,1] => [[1],[2]] => 1
([(0,3),(1,3),(2,3)],4) => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 2
([(0,3),(1,2)],4) => [4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 4
([(0,3),(1,2),(1,3)],4) => [3,2] => [2,2,1] => [[1,3],[2,5],[4]] => 3
([(0,2),(0,3),(1,2),(1,3)],4) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(0,3),(2,1),(3,2)],4) => [1] => [1] => [[1]] => 1
([(0,3),(1,2),(2,3)],4) => [3] => [1,1,1] => [[1],[2],[3]] => 1
([(0,2),(0,3),(0,4),(4,1)],5) => [4,4,4] => [3,3,3,3] => [[1,2,3],[4,5,6],[7,8,9],[10,11,12]] => 3
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 2
([(0,3),(0,4),(4,1),(4,2)],5) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(1,2),(1,3),(2,4),(3,4)],5) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => [2] => [1,1] => [[1],[2]] => 1
([(0,3),(0,4),(3,2),(4,1)],5) => [4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 4
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => [3,2] => [2,2,1] => [[1,3],[2,5],[4]] => 3
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(1,4),(4,2),(4,3)],5) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,4),(4,1),(4,2),(4,3)],5) => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 2
([(1,4),(2,4),(4,3)],5) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,4),(1,4),(4,2),(4,3)],5) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(0,4),(1,4),(2,4),(4,3)],5) => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 2
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,4),(1,4),(2,3),(4,2)],5) => [2] => [1,1] => [[1],[2]] => 1
([(0,4),(1,3),(2,3),(3,4)],5) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(0,4),(1,4),(2,3),(3,4)],5) => [4,4,4] => [3,3,3,3] => [[1,2,3],[4,5,6],[7,8,9],[10,11,12]] => 3
([(0,4),(1,2),(1,4),(2,3)],5) => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 3
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => [3,2] => [2,2,1] => [[1,3],[2,5],[4]] => 3
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(0,4),(1,2),(1,4),(4,3)],5) => [7] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
([(0,2),(0,4),(3,1),(4,3)],5) => [4] => [1,1,1,1] => [[1],[2],[3],[4]] => 1
([(0,4),(1,2),(1,3),(3,4)],5) => [4,4,3] => [3,3,3,2] => [[1,2,5],[3,4,8],[6,7,11],[9,10]] => 5
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => [3] => [1,1,1] => [[1],[2],[3]] => 1
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 4
([(0,3),(1,2),(1,4),(3,4)],5) => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 3
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(1,4),(3,2),(4,3)],5) => [5] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 1
([(0,3),(3,4),(4,1),(4,2)],5) => [2] => [1,1] => [[1],[2]] => 1
([(0,4),(1,2),(2,4),(4,3)],5) => [3] => [1,1,1] => [[1],[2],[3]] => 1
([(0,3),(1,4),(4,2)],5) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,4),(3,2),(4,1),(4,3)],5) => [3] => [1,1,1] => [[1],[2],[3]] => 1
([(0,4),(1,2),(2,3),(2,4)],5) => [7] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
([(0,4),(2,3),(3,1),(4,2)],5) => [1] => [1] => [[1]] => 1
([(0,3),(1,2),(2,4),(3,4)],5) => [4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 4
([(0,4),(1,2),(2,3),(3,4)],5) => [4] => [1,1,1,1] => [[1],[2],[3],[4]] => 1
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => [2] => [1,1] => [[1],[2]] => 1
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 2
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(0,3),(0,4),(3,5),(4,1),(4,5),(5,2)],6) => [7] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 2
([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 2
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [8,8] => [2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]] => 2
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => [4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 4
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => [4,4,4] => [3,3,3,3] => [[1,2,3],[4,5,6],[7,8,9],[10,11,12]] => 3
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => [2] => [1,1] => [[1],[2]] => 1
([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 2
([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => [6,2,2] => [3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => 7
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => [3,2] => [2,2,1] => [[1,3],[2,5],[4]] => 3
([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => [8,8] => [2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]] => 2
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => [4,4,2,2] => [4,4,2,2] => [[1,2,7,8],[3,4,11,12],[5,6],[9,10]] => 8
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => [6,2,2] => [3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => 7
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 2
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
>>> Load all 320 entries. <<<
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => [4,4,4] => [3,3,3,3] => [[1,2,3],[4,5,6],[7,8,9],[10,11,12]] => 3
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,4),(0,5),(3,2),(4,3),(5,1)],6) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,2),(0,4),(2,5),(3,1),(4,3),(4,5)],6) => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 3
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => [3,2] => [2,2,1] => [[1,3],[2,5],[4]] => 3
([(0,3),(0,4),(2,5),(3,2),(4,1),(4,5)],6) => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 3
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5)],6) => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 4
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => [3] => [1,1,1] => [[1],[2],[3]] => 1
([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(0,4),(1,2),(1,3),(2,5),(3,4),(4,5)],6) => [4,4,3] => [3,3,3,2] => [[1,2,5],[3,4,8],[6,7,11],[9,10]] => 5
([(0,3),(0,4),(2,5),(3,5),(4,1),(4,2)],6) => [4,4,3] => [3,3,3,2] => [[1,2,5],[3,4,8],[6,7,11],[9,10]] => 5
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => [4] => [1,1,1,1] => [[1],[2],[3],[4]] => 1
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => [2] => [1,1] => [[1],[2]] => 1
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => [8,8] => [2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]] => 2
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,2),(0,5),(1,4),(1,5),(2,4),(4,3),(5,3)],6) => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 4
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,2),(0,4),(2,5),(3,1),(3,5),(4,3)],6) => [7] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => [8,8] => [2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]] => 2
([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => [3,3,3] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 3
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,3),(1,2),(1,4),(2,5),(3,4),(4,5)],6) => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 3
([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => [5] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 1
([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => [4,3,3] => [3,3,3,1] => [[1,3,4],[2,6,7],[5,9,10],[8]] => 4
([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => [4,4,4] => [3,3,3,3] => [[1,2,3],[4,5,6],[7,8,9],[10,11,12]] => 3
([(1,5),(3,4),(4,2),(5,3)],6) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => [2] => [1,1] => [[1],[2]] => 1
([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => [4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 4
([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => [4] => [1,1,1,1] => [[1],[2],[3],[4]] => 1
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => [4,4,2,2] => [4,4,2,2] => [[1,2,7,8],[3,4,11,12],[5,6],[9,10]] => 8
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => [2] => [1,1] => [[1],[2]] => 1
([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => [4] => [1,1,1,1] => [[1],[2],[3],[4]] => 1
([(0,4),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 3
([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6) => [7] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
([(0,5),(1,3),(1,5),(4,2),(5,4)],6) => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 3
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 2
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => [3,2] => [2,2,1] => [[1,3],[2,5],[4]] => 3
([(0,5),(1,3),(4,2),(5,4)],6) => [6,6,3] => [3,3,3,2,2,2] => [[1,2,9],[3,4,12],[5,6,15],[7,8],[10,11],[13,14]] => 9
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => [4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 4
([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6) => [7] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => [3] => [1,1,1] => [[1],[2],[3]] => 1
([(0,5),(1,3),(3,4),(4,2),(4,5)],6) => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 3
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => [1] => [1] => [[1]] => 1
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => [3] => [1,1,1] => [[1],[2],[3]] => 1
([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => [5] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 1
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => [2] => [1,1] => [[1],[2]] => 1
([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => [3] => [1,1,1] => [[1],[2],[3]] => 1
([(0,3),(0,4),(0,5),(3,6),(4,6),(5,6),(6,1),(6,2)],7) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,5),(3,6),(4,5),(4,6)],7) => [8,8] => [2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]] => 2
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(0,4),(0,5),(4,6),(5,6),(6,1),(6,2),(6,3)],7) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(6,1),(6,2)],7) => [8,8] => [2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]] => 2
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => [4,4,2,2] => [4,4,2,2] => [[1,2,7,8],[3,4,11,12],[5,6],[9,10]] => 8
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => [6,2,2] => [3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => 7
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
([(0,1),(0,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(5,3),(6,3)],7) => [8,8] => [2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]] => 2
([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,6),(1,6),(2,6),(3,4),(3,5),(6,3)],7) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 2
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 2
([(0,6),(1,6),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,5),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3),(5,4)],7) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(4,3),(5,4),(6,4)],7) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,6),(1,5),(2,5),(5,6),(6,3),(6,4)],7) => [8,8] => [2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]] => 2
([(0,6),(1,6),(5,2),(5,3),(6,4),(6,5)],7) => [8,8] => [2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]] => 2
([(0,6),(1,6),(5,2),(5,3),(5,4),(6,5)],7) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,6),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => [8,8] => [2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]] => 2
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7) => [7] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(1,6),(2,6),(3,5),(5,4),(6,3)],7) => [7,7] => [2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14]] => 2
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 2
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => [5] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 1
([(1,4),(2,6),(3,6),(4,5),(5,2),(5,3)],7) => [7,7] => [2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14]] => 2
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => [2] => [1,1] => [[1],[2]] => 1
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => [2] => [1,1] => [[1],[2]] => 1
([(0,4),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(0,6),(1,6),(3,5),(4,5),(6,2),(6,3),(6,4)],7) => [8,8] => [2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]] => 2
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => [4,4,2,2] => [4,4,2,2] => [[1,2,7,8],[3,4,11,12],[5,6],[9,10]] => 8
([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => [6,2,2] => [3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => 7
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => [4,4,2,2] => [4,4,2,2] => [[1,2,7,8],[3,4,11,12],[5,6],[9,10]] => 8
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => [6,2,2] => [3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => 7
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
([(0,4),(0,5),(1,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7) => [8,8] => [2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]] => 2
([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => [4,4,4] => [3,3,3,3] => [[1,2,3],[4,5,6],[7,8,9],[10,11,12]] => 3
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => [6,2,2] => [3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => 7
([(0,5),(1,4),(1,5),(3,6),(4,3),(5,6),(6,2)],7) => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 3
([(0,5),(0,6),(1,5),(1,6),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(5,2),(6,3),(6,4)],7) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => [4,4,2,2] => [4,4,2,2] => [[1,2,7,8],[3,4,11,12],[5,6],[9,10]] => 8
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2)],7) => [8,8] => [2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]] => 2
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(6,3)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 2
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,1),(4,2),(4,3)],7) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7) => [4,4,4] => [3,3,3,3] => [[1,2,3],[4,5,6],[7,8,9],[10,11,12]] => 3
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7) => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 2
([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7) => [6,2,2] => [3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => 7
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => [3,2] => [2,2,1] => [[1,3],[2,5],[4]] => 3
([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7) => [4,3,3] => [3,3,3,1] => [[1,3,4],[2,6,7],[5,9,10],[8]] => 4
([(0,2),(0,3),(1,4),(2,4),(2,5),(3,1),(3,5),(4,6),(5,6)],7) => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 4
([(0,6),(1,2),(1,3),(2,6),(3,6),(6,4),(6,5)],7) => [8,8] => [2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]] => 2
([(0,4),(1,3),(1,5),(3,6),(4,5),(5,6),(6,2)],7) => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 3
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7) => [4] => [1,1,1,1] => [[1],[2],[3],[4]] => 1
([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7) => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 2
([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7) => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 3
([(0,5),(1,3),(1,4),(3,6),(4,5),(5,6),(6,2)],7) => [4,4,3] => [3,3,3,2] => [[1,2,5],[3,4,8],[6,7,11],[9,10]] => 5
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(0,5),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => [2] => [1,1] => [[1],[2]] => 1
([(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => [7,7] => [2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14]] => 2
([(0,6),(1,3),(1,4),(3,5),(4,5),(5,6),(6,2)],7) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7) => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 2
([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7) => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 3
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7) => [4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 4
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(3,6),(4,6),(5,6),(6,2)],7) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(3,2),(4,3),(5,3),(6,2)],7) => [8,8] => [2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]] => 2
([(0,3),(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(6,1)],7) => [3,3,3] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 3
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,5),(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [8,8] => [2,2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14],[15,16]] => 2
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,5),(0,6),(3,4),(4,2),(5,3),(6,1)],7) => [6,6,3] => [3,3,3,2,2,2] => [[1,2,9],[3,4,12],[5,6,15],[7,8],[10,11],[13,14]] => 9
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7) => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 3
([(0,5),(2,6),(4,1),(4,6),(5,2),(5,4),(6,3)],7) => [7] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
([(0,5),(2,6),(3,1),(4,3),(4,6),(5,2),(5,4)],7) => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 3
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => [3,2] => [2,2,1] => [[1,3],[2,5],[4]] => 3
([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 2
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => [7,7] => [2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14]] => 2
([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7) => [7] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
([(0,5),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7) => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 2
([(0,6),(1,5),(2,6),(3,6),(5,2),(5,3),(6,4)],7) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(1,5),(4,6),(5,4),(6,2),(6,3)],7) => [7,7] => [2,2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12],[13,14]] => 2
([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 2
([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7) => [4,4,2,2] => [4,4,2,2] => [[1,2,7,8],[3,4,11,12],[5,6],[9,10]] => 8
([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [4,4,2,2] => [4,4,2,2] => [[1,2,7,8],[3,4,11,12],[5,6],[9,10]] => 8
([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => [3] => [1,1,1] => [[1],[2],[3]] => 1
([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7) => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 2
([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7) => [7] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => [6,2,2] => [3,3,1,1,1,1] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => 7
([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7) => [3,2] => [2,2,1] => [[1,3],[2,5],[4]] => 3
([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7) => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 3
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7) => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 3
([(0,5),(2,6),(3,6),(4,1),(4,3),(5,2),(5,4)],7) => [4,4,3] => [3,3,3,2] => [[1,2,5],[3,4,8],[6,7,11],[9,10]] => 5
([(0,2),(0,5),(1,6),(2,6),(3,4),(4,1),(5,3)],7) => [5] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 1
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => [3] => [1,1,1] => [[1],[2],[3]] => 1
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7) => [4,4,3] => [3,3,3,2] => [[1,2,5],[3,4,8],[6,7,11],[9,10]] => 5
([(0,6),(1,3),(1,4),(3,6),(4,6),(5,2),(6,5)],7) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,1),(3,2)],7) => [6,6] => [2,2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]] => 2
([(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,2),(4,3)],7) => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 4
([(0,3),(0,6),(1,5),(1,6),(3,5),(4,2),(5,4),(6,4)],7) => [5,3] => [2,2,2,1,1] => [[1,4],[2,6],[3,8],[5],[7]] => 4
([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,3),(1,4),(1,6),(2,5),(3,4),(3,6),(4,2),(6,5)],7) => [3,3,3] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 3
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,5),(0,6),(1,4),(2,5),(2,6),(3,2),(4,3)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]] => 1
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7) => [3,2] => [2,2,1] => [[1,3],[2,5],[4]] => 3
([(0,5),(2,6),(3,2),(4,1),(4,6),(5,3),(5,4)],7) => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 3
([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => [4,4,4] => [3,3,3,3] => [[1,2,3],[4,5,6],[7,8,9],[10,11,12]] => 3
([(1,6),(3,5),(4,3),(5,2),(6,4)],7) => [7] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => [2] => [1,1] => [[1],[2]] => 1
([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => [4] => [1,1,1,1] => [[1],[2],[3],[4]] => 1
([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => [5] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 1
([(0,5),(2,6),(3,4),(4,1),(4,6),(5,2),(5,3)],7) => [7] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 1
([(0,6),(1,3),(3,6),(5,2),(6,4),(6,5)],7) => [3,3,3] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 3
([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7) => [4,3,3] => [3,3,3,1] => [[1,3,4],[2,6,7],[5,9,10],[8]] => 4
([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => [4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 4
([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7) => [5,4] => [2,2,2,2,1] => [[1,3],[2,5],[4,7],[6,9],[8]] => 3
([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => [3] => [1,1,1] => [[1],[2],[3]] => 1
([(0,6),(3,4),(4,1),(5,2),(6,3),(6,5)],7) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 2
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => [1] => [1] => [[1]] => 1
([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => [3] => [1,1,1] => [[1],[2],[3]] => 1
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7) => [4,4,4] => [3,3,3,3] => [[1,2,3],[4,5,6],[7,8,9],[10,11,12]] => 3
([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => [6,6,3] => [3,3,3,2,2,2] => [[1,2,9],[3,4,12],[5,6,15],[7,8],[10,11],[13,14]] => 9
([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => [3] => [1,1,1] => [[1],[2],[3]] => 1
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7) => [4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 4
([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => [4,2] => [2,2,1,1] => [[1,4],[2,6],[3],[5]] => 4
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7) => [8] => [1,1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7],[8]] => 1
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => [2] => [1,1] => [[1],[2]] => 1
([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => [4] => [1,1,1,1] => [[1],[2],[3],[4]] => 1
([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 1
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => [2] => [1,1] => [[1],[2]] => 1
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7) => [4] => [1,1,1,1] => [[1],[2],[3],[4]] => 1
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8) => [3,2] => [2,2,1] => [[1,3],[2,5],[4]] => 3
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 last entry in the first row of a standard tableau.
Map
promotion cycle type
Description
The cycle type of promotion on the linear extensions of a poset.
Map
conjugate
Description
Return the conjugate partition of the partition.
The conjugate partition of the partition λ of n is the partition λ∗ whose Ferrers diagram is obtained from the diagram of λ by interchanging rows with columns.
This is also called the associated partition or the transpose in the literature.
Map
reading tableau
Description
Return the RSK recording tableau of the reading word of the (standard) tableau T labeled down (in English convention) each column to the shape of a partition.