Identifier
Values
([],1) => [1] => [1] => [[1]] => 1
([],2) => [1,1] => [2] => [[1,2]] => 1
([(0,1)],2) => [2] => [1,1] => [[1],[2]] => 2
([],3) => [1,1,1] => [3] => [[1,2,3]] => 1
([(1,2)],3) => [2,1] => [2,1] => [[1,2],[3]] => 2
([(0,2),(1,2)],3) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(0,1),(0,2),(1,2)],3) => [3] => [1,1,1] => [[1],[2],[3]] => 3
([],4) => [1,1,1,1] => [4] => [[1,2,3,4]] => 1
([(2,3)],4) => [2,1,1] => [3,1] => [[1,2,3],[4]] => 2
([(1,3),(2,3)],4) => [2,2,1] => [3,2] => [[1,2,3],[4,5]] => 2
([(0,3),(1,3),(2,3)],4) => [2,2,2] => [3,3] => [[1,2,3],[4,5,6]] => 2
([(0,3),(1,2)],4) => [2,2] => [2,2] => [[1,2],[3,4]] => 2
([(0,3),(1,2),(2,3)],4) => [2,2,2] => [3,3] => [[1,2,3],[4,5,6]] => 2
([(1,2),(1,3),(2,3)],4) => [3,1] => [2,1,1] => [[1,2],[3],[4]] => 3
([(0,3),(1,2),(1,3),(2,3)],4) => [3,2] => [2,2,1] => [[1,2],[3,4],[5]] => 3
([(0,2),(0,3),(1,2),(1,3)],4) => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 2
([(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 3
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [4] => [1,1,1,1] => [[1],[2],[3],[4]] => 4
([],5) => [1,1,1,1,1] => [5] => [[1,2,3,4,5]] => 1
([(3,4)],5) => [2,1,1,1] => [4,1] => [[1,2,3,4],[5]] => 2
([(2,4),(3,4)],5) => [2,2,1,1] => [4,2] => [[1,2,3,4],[5,6]] => 2
([(1,4),(2,4),(3,4)],5) => [2,2,2,1] => [4,3] => [[1,2,3,4],[5,6,7]] => 2
([(0,4),(1,4),(2,4),(3,4)],5) => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 2
([(1,4),(2,3)],5) => [2,2,1] => [3,2] => [[1,2,3],[4,5]] => 2
([(1,4),(2,3),(3,4)],5) => [2,2,2,1] => [4,3] => [[1,2,3,4],[5,6,7]] => 2
([(0,1),(2,4),(3,4)],5) => [2,2,2] => [3,3] => [[1,2,3],[4,5,6]] => 2
([(2,3),(2,4),(3,4)],5) => [3,1,1] => [3,1,1] => [[1,2,3],[4],[5]] => 3
([(0,4),(1,4),(2,3),(3,4)],5) => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 2
([(1,4),(2,3),(2,4),(3,4)],5) => [3,2,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => 3
([(0,4),(1,4),(2,3),(2,4),(3,4)],5) => [3,2,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => 3
([(1,3),(1,4),(2,3),(2,4)],5) => [2,2,2,2,1] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => 2
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => [2,2,2,2,2] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 2
([(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,3,1] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => 3
([(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [3,2,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => 3
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,3,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => 3
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [3,3,3] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 3
([(0,4),(1,3),(2,3),(2,4)],5) => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 2
([(0,1),(2,3),(2,4),(3,4)],5) => [3,2] => [2,2,1] => [[1,2],[3,4],[5]] => 3
([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => [3,2,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => 3
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 3
([(0,3),(0,4),(1,2),(1,4),(2,3)],5) => [2,2,2,2,2] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 2
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) => [3,2,2,2] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => 3
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) => [3,3,3] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 3
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => [3,3,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => 3
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [4,1] => [2,1,1,1] => [[1,2],[3],[4],[5]] => 4
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [4,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 4
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => 4
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 4
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [1,1,1,1,1] => [[1],[2],[3],[4],[5]] => 5
([],6) => [1,1,1,1,1,1] => [6] => [[1,2,3,4,5,6]] => 1
([(4,5)],6) => [2,1,1,1,1] => [5,1] => [[1,2,3,4,5],[6]] => 2
([(3,5),(4,5)],6) => [2,2,1,1,1] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
([(2,5),(3,5),(4,5)],6) => [2,2,2,1,1] => [5,3] => [[1,2,3,4,5],[6,7,8]] => 2
([(1,5),(2,5),(3,5),(4,5)],6) => [2,2,2,2,1] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => 2
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => [2,2,2,2,2] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 2
([(2,5),(3,4)],6) => [2,2,1,1] => [4,2] => [[1,2,3,4],[5,6]] => 2
([(2,5),(3,4),(4,5)],6) => [2,2,2,1,1] => [5,3] => [[1,2,3,4,5],[6,7,8]] => 2
([(1,2),(3,5),(4,5)],6) => [2,2,2,1] => [4,3] => [[1,2,3,4],[5,6,7]] => 2
([(3,4),(3,5),(4,5)],6) => [3,1,1,1] => [4,1,1] => [[1,2,3,4],[5],[6]] => 3
([(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,1] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => 2
([(0,1),(2,5),(3,5),(4,5)],6) => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 2
([(2,5),(3,4),(3,5),(4,5)],6) => [3,2,1,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 3
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => [2,2,2,2,2] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 2
([(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,2,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => 3
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,2,2] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => 3
([(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2,2,1,1] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => 2
([(0,5),(1,5),(2,4),(3,4)],6) => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 2
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [2,2,2,2,2] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 2
([(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,1,1] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => 3
([(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,2,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => 3
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [2,2,2,2,2] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 2
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,2,1] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => 3
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,2,2] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => 3
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3,1] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => 3
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3,2] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 3
([(0,5),(1,4),(2,3)],6) => [2,2,2] => [3,3] => [[1,2,3],[4,5,6]] => 2
([(1,5),(2,4),(3,4),(3,5)],6) => [2,2,2,2,1] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => 2
([(0,1),(2,5),(3,4),(4,5)],6) => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 2
([(1,2),(3,4),(3,5),(4,5)],6) => [3,2,1] => [3,2,1] => [[1,2,3],[4,5],[6]] => 3
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 2
([(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,2,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => 3
([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => 3
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,2,2] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => 3
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,3,1] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => 3
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => [3,3,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => 3
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) => [3,2,2,2,1] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => 3
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,3,2,1] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => 3
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6) => [3,2,2,2] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => 3
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3,1] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => 3
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3,2] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 3
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [2,2,2,2,2] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 2
([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [2,2,2,2,2] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 2
>>> Load all 411 entries. <<<
([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,2,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => 3
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => [3,2,2,2] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => 3
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) => [3,2,2,2] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => 3
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => 3
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [3,2,2,2] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => 3
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => 3
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 3
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,1,1] => [3,1,1,1] => [[1,2,3],[4],[5],[6]] => 4
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => 4
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => 4
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [3,3,3,2] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 3
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,3,3,2] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 3
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => 4
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => 4
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3,2] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3,3] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => 4
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,3,2,2,1] => [5,4,2] => [[1,2,3,4,5],[6,7,8,9],[10,11]] => 3
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) => [3,3,3,2] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 3
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,4,1] => [3,2,2,2] => [[1,2,3],[4,5],[6,7],[8,9]] => 4
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3,2] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => 4
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,4,2] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => 4
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3,3] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => 4
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,4,3] => [3,3,3,2] => [[1,2,3],[4,5,6],[7,8,9],[10,11]] => 4
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => [3,3] => [2,2,2] => [[1,2],[3,4],[5,6]] => 3
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) => [3,3,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => 3
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2] => [2,2,1,1] => [[1,2],[3,4],[5],[6]] => 4
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [3,3,3] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 3
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => 4
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => 4
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => [3,3,3,2] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 3
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3,2] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => 4
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,2,2,2] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => 4
([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3,3] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => 4
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 4
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => [4,3,2,2] => [4,4,2,1] => [[1,2,3,4],[5,6,7,8],[9,10],[11]] => 4
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3,3] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => 4
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,4,3] => [3,3,3,2] => [[1,2,3],[4,5,6],[7,8,9],[10,11]] => 4
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,4,2] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => 4
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [2,1,1,1,1] => [[1,2],[3],[4],[5],[6]] => 5
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => 5
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => 5
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,4] => [2,2,2,2,1] => [[1,2],[3,4],[5,6],[7,8],[9]] => 5
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => [4,4,2,2] => [4,4,2,2] => [[1,2,3,4],[5,6,7,8],[9,10],[11,12]] => 4
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [4,3,3,2] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 4
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 5
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6] => [1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6]] => 6
([],7) => [1,1,1,1,1,1,1] => [7] => [[1,2,3,4,5,6,7]] => 1
([(5,6)],7) => [2,1,1,1,1,1] => [6,1] => [[1,2,3,4,5,6],[7]] => 2
([(4,6),(5,6)],7) => [2,2,1,1,1,1] => [6,2] => [[1,2,3,4,5,6],[7,8]] => 2
([(3,6),(4,6),(5,6)],7) => [2,2,2,1,1,1] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => 2
([(2,6),(3,6),(4,6),(5,6)],7) => [2,2,2,2,1,1] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => 2
([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(3,6),(4,5)],7) => [2,2,1,1,1] => [5,2] => [[1,2,3,4,5],[6,7]] => 2
([(3,6),(4,5),(5,6)],7) => [2,2,2,1,1,1] => [6,3] => [[1,2,3,4,5,6],[7,8,9]] => 2
([(2,3),(4,6),(5,6)],7) => [2,2,2,1,1] => [5,3] => [[1,2,3,4,5],[6,7,8]] => 2
([(4,5),(4,6),(5,6)],7) => [3,1,1,1,1] => [5,1,1] => [[1,2,3,4,5],[6],[7]] => 3
([(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1,1] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => 2
([(1,2),(3,6),(4,6),(5,6)],7) => [2,2,2,2,1] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => 2
([(3,6),(4,5),(4,6),(5,6)],7) => [3,2,1,1,1] => [5,2,1] => [[1,2,3,4,5],[6,7],[8]] => 3
([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [2,2,2,2,2] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 2
([(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,1,1] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => 3
([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(1,6),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,2,1] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => 3
([(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,1] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => 2
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [2,2,2,2,2] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 2
([(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,1,1,1] => [5,2,2] => [[1,2,3,4,5],[6,7],[8,9]] => 3
([(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2,1,1] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => 3
([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,1,1] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => 3
([(1,6),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2,2,1] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => 3
([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,1] => [5,4,2] => [[1,2,3,4,5],[6,7,8,9],[10,11]] => 3
([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,1,1] => [5,3,3] => [[1,2,3,4,5],[6,7,8],[9,10,11]] => 3
([(1,6),(2,5),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,1] => [5,4,2] => [[1,2,3,4,5],[6,7,8,9],[10,11]] => 3
([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,1] => [5,4,3] => [[1,2,3,4,5],[6,7,8,9],[10,11,12]] => 3
([(1,6),(2,5),(3,4)],7) => [2,2,2,1] => [4,3] => [[1,2,3,4],[5,6,7]] => 2
([(2,6),(3,5),(4,5),(4,6)],7) => [2,2,2,2,1,1] => [6,4] => [[1,2,3,4,5,6],[7,8,9,10]] => 2
([(1,2),(3,6),(4,5),(5,6)],7) => [2,2,2,2,1] => [5,4] => [[1,2,3,4,5],[6,7,8,9]] => 2
([(0,3),(1,2),(4,6),(5,6)],7) => [2,2,2,2] => [4,4] => [[1,2,3,4],[5,6,7,8]] => 2
([(2,3),(4,5),(4,6),(5,6)],7) => [3,2,1,1] => [4,2,1] => [[1,2,3,4],[5,6],[7]] => 3
([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 2
([(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2,1,1] => [5,3,1] => [[1,2,3,4,5],[6,7,8],[9]] => 3
([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => 3
([(0,6),(1,6),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(1,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2,2,1] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => 3
([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,2] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => 3
([(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,1,1] => [4,2,2] => [[1,2,3,4],[5,6],[7,8]] => 3
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,2,1] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => 3
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,2,1,1] => [5,3,2] => [[1,2,3,4,5],[6,7,8],[9,10]] => 3
([(1,6),(2,5),(3,4),(4,5),(4,6),(5,6)],7) => [3,2,2,2,1] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => 3
([(1,6),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2,1] => [5,4,2] => [[1,2,3,4,5],[6,7,8,9],[10,11]] => 3
([(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,1,1] => [5,3,3] => [[1,2,3,4,5],[6,7,8],[9,10,11]] => 3
([(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,1] => [5,4,3] => [[1,2,3,4,5],[6,7,8,9],[10,11,12]] => 3
([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [2,2,2,2,2] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 2
([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2,2,1] => [4,3,1] => [[1,2,3,4],[5,6,7],[8]] => 3
([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6)],7) => [3,2,2,2,1] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => 3
([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [3,2,2,2] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => 3
([(1,5),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,2,1] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => 3
([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,1] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => 3
([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [3,2,2,2] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => 3
([(1,5),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,2,2,2,1] => [5,4,1] => [[1,2,3,4,5],[6,7,8,9],[10]] => 3
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,2,2,1] => [5,4,2] => [[1,2,3,4,5],[6,7,8,9],[10,11]] => 3
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,1] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => 3
([(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,1] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => 3
([(0,6),(1,5),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(0,6),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 3
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2,2,2] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => 3
([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,1,1,1] => [4,1,1,1] => [[1,2,3,4],[5],[6],[7]] => 4
([(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,2,2,1] => [5,4,2] => [[1,2,3,4,5],[6,7,8,9],[10,11]] => 3
([(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1,1] => [4,2,1,1] => [[1,2,3,4],[5,6],[7],[8]] => 4
([(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,1] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => 4
([(0,6),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,2] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => 4
([(1,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2,1] => [5,4,3] => [[1,2,3,4,5],[6,7,8,9],[10,11,12]] => 3
([(1,6),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,2,1] => [5,4,3] => [[1,2,3,4,5],[6,7,8,9],[10,11,12]] => 3
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 3
([(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(0,5),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 3
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,1,1] => [4,2,2,1] => [[1,2,3,4],[5,6],[7,8],[9]] => 4
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,1] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => 4
([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,1] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 4
([(0,6),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,2] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => 4
([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => [4,4,2,1] => [[1,2,3,4],[5,6,7,8],[9,10],[11]] => 4
([(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,1] => [4,3,3,1] => [[1,2,3,4],[5,6,7],[8,9,10],[11]] => 4
([(0,6),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => [4,4,2,1] => [[1,2,3,4],[5,6,7,8],[9,10],[11]] => 4
([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 4
([(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,2,2,1,1] => [6,4,2] => [[1,2,3,4,5,6],[7,8,9,10],[11,12]] => 3
([(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,2,2,1] => [5,4,2] => [[1,2,3,4,5],[6,7,8,9],[10,11]] => 3
([(1,5),(2,4),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,2,1] => [5,4,3] => [[1,2,3,4,5],[6,7,8,9],[10,11,12]] => 3
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,2,2,1] => [5,4,2] => [[1,2,3,4,5],[6,7,8,9],[10,11]] => 3
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(0,5),(1,4),(2,4),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(0,5),(1,5),(1,6),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,3,2] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 3
([(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,1,1] => [4,2,2,2] => [[1,2,3,4],[5,6],[7,8],[9,10]] => 4
([(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2,1] => [4,3,2,2] => [[1,2,3,4],[5,6,7],[8,9],[10,11]] => 4
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => [4,4,2,1] => [[1,2,3,4],[5,6,7,8],[9,10],[11]] => 4
([(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2,2] => [4,4,2,2] => [[1,2,3,4],[5,6,7,8],[9,10],[11,12]] => 4
([(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,1] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 4
([(0,6),(1,5),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,2] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => 4
([(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,1] => [4,3,3,1] => [[1,2,3,4],[5,6,7],[8,9,10],[11]] => 4
([(0,6),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => [4,4,2,1] => [[1,2,3,4],[5,6,7,8],[9,10],[11]] => 4
([(0,6),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 4
([(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,1] => [4,3,3,2] => [[1,2,3,4],[5,6,7],[8,9,10],[11,12]] => 4
([(0,6),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2,2] => [4,4,2,2] => [[1,2,3,4],[5,6,7,8],[9,10],[11,12]] => 4
([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,2] => [4,4,3,2] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]] => 4
([(0,6),(1,5),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 4
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 4
([(0,6),(1,4),(1,5),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,2] => [4,4,3,2] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]] => 4
([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [2,2,2,2,2] => [5,5] => [[1,2,3,4,5],[6,7,8,9,10]] => 2
([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,2,2] => [3,3,1] => [[1,2,3],[4,5,6],[7]] => 3
([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [3,2,2,2] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => 3
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => 3
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => [3,3,3] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 3
([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [2,2,2,2,2,2] => [6,6] => [[1,2,3,4,5,6],[7,8,9,10,11,12]] => 2
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [3,2,2,2] => [4,4,1] => [[1,2,3,4],[5,6,7,8],[9]] => 3
([(0,4),(1,2),(1,6),(2,6),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 3
([(0,5),(1,4),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 3
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3,1] => [3,2,2] => [[1,2,3],[4,5],[6,7]] => 3
([(1,3),(2,5),(2,6),(3,4),(4,5),(4,6),(5,6)],7) => [3,3,2,2,1] => [5,4,2] => [[1,2,3,4,5],[6,7,8,9],[10,11]] => 3
([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,3,2,1] => [4,3,2] => [[1,2,3,4],[5,6,7],[8,9]] => 3
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [3,3,2] => [3,3,2] => [[1,2,3],[4,5,6],[7,8]] => 3
([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,1] => [3,2,1,1] => [[1,2,3],[4,5],[6],[7]] => 4
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(5,6)],7) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,1] => [4,3,3] => [[1,2,3,4],[5,6,7],[8,9,10]] => 3
([(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,1] => [4,3,1,1] => [[1,2,3,4],[5,6,7],[8],[9]] => 4
([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => 4
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3,2] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 3
([(0,6),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,2] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => 4
([(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,1] => [3,2,2,1] => [[1,2,3],[4,5],[6,7],[8]] => 4
([(0,6),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => 4
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,6),(4,5),(5,6)],7) => [3,3,2,2,1] => [5,4,2] => [[1,2,3,4,5],[6,7,8,9],[10,11]] => 3
([(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,3,2,1] => [5,4,3] => [[1,2,3,4,5],[6,7,8,9],[10,11,12]] => 3
([(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,1] => [4,3,2,1] => [[1,2,3,4],[5,6,7],[8,9],[10]] => 4
([(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,2,1] => [5,4,1,1] => [[1,2,3,4,5],[6,7,8,9],[10],[11]] => 4
([(0,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => [4,4,2,1] => [[1,2,3,4],[5,6,7,8],[9,10],[11]] => 4
([(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,1] => [4,3,3,1] => [[1,2,3,4],[5,6,7],[8,9,10],[11]] => 4
([(0,6),(1,4),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 4
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6)],7) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [3,3,3,2] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 3
([(0,5),(1,2),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,2] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => 4
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => 4
([(0,6),(1,2),(1,5),(2,5),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3,2] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 3
([(0,1),(0,6),(1,6),(2,3),(2,5),(3,5),(4,5),(4,6),(5,6)],7) => [3,3,3] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 3
([(0,2),(1,5),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => [4,4,2,1] => [[1,2,3,4],[5,6,7,8],[9,10],[11]] => 4
([(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => 4
([(0,1),(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => 4
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 4
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 4
([(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,1] => [3,2,2,2] => [[1,2,3],[4,5],[6,7],[8,9]] => 4
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => 4
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3] => [3,3,3,2] => [[1,2,3],[4,5,6],[7,8,9],[10,11]] => 4
([(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2,1] => [4,3,2,2] => [[1,2,3,4],[5,6,7],[8,9],[10,11]] => 4
([(0,6),(1,5),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => [4,4,2,1] => [[1,2,3,4],[5,6,7,8],[9,10],[11]] => 4
([(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,1] => [4,3,3,1] => [[1,2,3,4],[5,6,7],[8,9,10],[11]] => 4
([(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,3,2,2,1] => [5,4,2,1] => [[1,2,3,4,5],[6,7,8,9],[10,11],[12]] => 4
([(0,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2,2] => [4,4,2,2] => [[1,2,3,4],[5,6,7,8],[9,10],[11,12]] => 4
([(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,1] => [4,3,3,2] => [[1,2,3,4],[5,6,7],[8,9,10],[11,12]] => 4
([(0,6),(1,3),(1,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 4
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,2] => [4,4,3,2] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]] => 4
([(0,5),(1,4),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 4
([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,2] => [4,4,3,2] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]] => 4
([(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,2] => [4,4,3,2] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]] => 4
([(0,1),(1,4),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => [4,4,2,1] => [[1,2,3,4],[5,6,7,8],[9,10],[11]] => 4
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,3,3,2] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 4
([(0,4),(0,6),(1,4),(1,5),(2,3),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [4,3,2,2] => [4,4,2,1] => [[1,2,3,4],[5,6,7,8],[9,10],[11]] => 4
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,5),(3,4),(3,5),(4,6),(5,6)],7) => [3,3,3,2] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 3
([(0,6),(1,3),(2,4),(2,5),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => [4,4,2,1] => [[1,2,3,4],[5,6,7,8],[9,10],[11]] => 4
([(0,3),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 4
([(0,5),(1,3),(1,6),(2,4),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 4
([(0,2),(1,5),(1,6),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => [4,4,2,1] => [[1,2,3,4],[5,6,7,8],[9,10],[11]] => 4
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => 4
([(0,1),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2,2] => [4,4,2,2] => [[1,2,3,4],[5,6,7,8],[9,10],[11,12]] => 4
([(0,1),(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => 4
([(0,1),(0,6),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3] => [3,3,3,2] => [[1,2,3],[4,5,6],[7,8,9],[10,11]] => 4
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,3,2,2] => [4,4,2,1] => [[1,2,3,4],[5,6,7,8],[9,10],[11]] => 4
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 4
([(0,3),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,2] => [4,4,3,2] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]] => 4
([(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2] => [3,3,2,2] => [[1,2,3],[4,5,6],[7,8],[9,10]] => 4
([(0,4),(0,6),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3] => [3,3,3,2] => [[1,2,3],[4,5,6],[7,8,9],[10,11]] => 4
([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2] => [3,3,1,1] => [[1,2,3],[4,5,6],[7],[8]] => 4
([(0,6),(1,2),(1,4),(2,4),(3,5),(3,6),(4,5),(5,6)],7) => [3,3,2,2] => [4,4,2] => [[1,2,3,4],[5,6,7,8],[9,10]] => 3
([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [3,3,3] => [3,3,3] => [[1,2,3],[4,5,6],[7,8,9]] => 3
([(0,2),(1,2),(1,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,2,2,2] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => 4
([(0,1),(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(4,6),(5,6)],7) => [3,3,3,2] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 3
([(0,5),(1,3),(1,4),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [3,3,3,2] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 3
([(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,2,2,2] => [4,4,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10]] => 4
([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,3,2] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => 4
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,3,3] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => 4
([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1,1] => [3,1,1,1,1] => [[1,2,3],[4],[5],[6],[7]] => 5
([(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2,2] => [4,4,2,2] => [[1,2,3,4],[5,6,7,8],[9,10],[11,12]] => 4
([(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2,1] => [3,2,1,1,1] => [[1,2,3],[4,5],[6],[7],[8]] => 5
([(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2,2] => [3,3,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9]] => 5
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,2] => [4,4,3,2] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]] => 4
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,1] => [3,2,2,1,1] => [[1,2,3],[4,5],[6,7],[8],[9]] => 5
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2,2] => [3,3,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9]] => 5
([(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,2] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,3] => [3,3,3,1,1] => [[1,2,3],[4,5,6],[7,8,9],[10],[11]] => 5
([(1,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2,1] => [5,4,3,1] => [[1,2,3,4,5],[6,7,8,9],[10,11,12],[13]] => 4
([(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,4,2,2,1] => [5,4,2,2] => [[1,2,3,4,5],[6,7,8,9],[10,11],[12,13]] => 4
([(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,4,2,2] => [4,4,2,2] => [[1,2,3,4],[5,6,7,8],[9,10],[11,12]] => 4
([(0,5),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [4,4,3,2] => [4,4,3,2] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]] => 4
([(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,1] => [3,2,2,2,1] => [[1,2,3],[4,5],[6,7],[8,9],[10]] => 5
([(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,2] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => 5
([(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,2] => [3,3,2,2,1] => [[1,2,3],[4,5,6],[7,8],[9,10],[11]] => 5
([(0,5),(0,6),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,3] => [3,3,3,1,1] => [[1,2,3],[4,5,6],[7,8,9],[10],[11]] => 5
([(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,3] => [3,3,3,2,1] => [[1,2,3],[4,5,6],[7,8,9],[10,11],[12]] => 5
([(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2,2] => [4,4,2,2] => [[1,2,3,4],[5,6,7,8],[9,10],[11,12]] => 4
([(0,6),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,2] => [3,3,2,2,1] => [[1,2,3],[4,5,6],[7,8],[9,10],[11]] => 5
([(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,3] => [3,3,3,1,1] => [[1,2,3],[4,5,6],[7,8,9],[10],[11]] => 5
([(0,5),(0,6),(1,3),(1,4),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,3] => [3,3,3,2,1] => [[1,2,3],[4,5,6],[7,8,9],[10,11],[12]] => 5
([(0,4),(0,5),(1,2),(1,6),(2,6),(3,4),(3,5),(3,6),(4,5)],7) => [3,3,3,2] => [4,4,3] => [[1,2,3,4],[5,6,7,8],[9,10,11]] => 3
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3] => [2,2,2,1] => [[1,2],[3,4],[5,6],[7]] => 4
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [4,3,2] => [3,3,2,1] => [[1,2,3],[4,5,6],[7,8],[9]] => 4
([(0,4),(0,5),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => 4
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,6),(2,3),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,4] => [2,2,2,2] => [[1,2],[3,4],[5,6],[7,8]] => 4
([(0,2),(1,5),(1,6),(2,3),(2,4),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 4
([(0,3),(0,6),(1,3),(1,4),(1,5),(2,4),(2,5),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 4
([(0,2),(1,4),(1,5),(1,6),(2,3),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,2] => [4,4,3,2] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]] => 4
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => [4,3,2,2] => [4,4,2,1] => [[1,2,3,4],[5,6,7,8],[9,10],[11]] => 4
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => [4,3,3] => [3,3,3,1] => [[1,2,3],[4,5,6],[7,8,9],[10]] => 4
([(0,1),(0,2),(0,6),(1,2),(1,6),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,3,3,2] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 4
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3] => [3,3,3,2] => [[1,2,3],[4,5,6],[7,8,9],[10,11]] => 4
([(0,1),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,2,2] => [4,4,2,2] => [[1,2,3,4],[5,6,7,8],[9,10],[11,12]] => 4
([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2] => [2,2,1,1,1] => [[1,2],[3,4],[5],[6],[7]] => 5
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3] => [3,3,3,2] => [[1,2,3],[4,5,6],[7,8,9],[10,11]] => 4
([(0,1),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2,2] => [3,3,1,1,1] => [[1,2,3],[4,5,6],[7],[8],[9]] => 5
([(0,1),(0,6),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3] => [2,2,2,1,1] => [[1,2],[3,4],[5,6],[7],[8]] => 5
([(0,3),(0,4),(1,2),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3] => [3,3,3,2] => [[1,2,3],[4,5,6],[7,8,9],[10,11]] => 4
([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,4,3,2] => [4,4,3,2] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]] => 4
([(0,1),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,2] => [3,3,2,1,1] => [[1,2,3],[4,5,6],[7,8],[9],[10]] => 5
([(0,1),(0,6),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,2,2,2] => [4,4,1,1,1] => [[1,2,3,4],[5,6,7,8],[9],[10],[11]] => 5
([(0,1),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,3] => [3,3,3,1,1] => [[1,2,3],[4,5,6],[7,8,9],[10],[11]] => 5
([(0,1),(0,5),(0,6),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4] => [2,2,2,2,1] => [[1,2],[3,4],[5,6],[7,8],[9]] => 5
([(0,2),(0,6),(1,3),(1,4),(1,5),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [4,3,3,2] => [4,4,3,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12]] => 4
([(0,2),(0,3),(0,4),(1,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [4,4,3,2] => [4,4,3,2] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13]] => 4
([(0,3),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,2] => [3,3,2,2,1] => [[1,2,3],[4,5,6],[7,8],[9,10],[11]] => 5
([(0,1),(0,6),(1,4),(1,5),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,2,2] => [4,4,2,1,1] => [[1,2,3,4],[5,6,7,8],[9,10],[11],[12]] => 5
([(0,3),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,3] => [3,3,3,2,1] => [[1,2,3],[4,5,6],[7,8,9],[10,11],[12]] => 5
([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,5] => [2,2,2,2,2] => [[1,2],[3,4],[5,6],[7,8],[9,10]] => 5
([(0,1),(0,5),(0,6),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3,3,2] => [4,4,3,1,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12],[13]] => 5
([(0,2),(0,6),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,2,2] => [4,4,2,2,1] => [[1,2,3,4],[5,6,7,8],[9,10],[11,12],[13]] => 5
([(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,3] => [3,3,3,2,1] => [[1,2,3],[4,5,6],[7,8,9],[10,11],[12]] => 5
([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [2,1,1,1,1,1] => [[1,2],[3],[4],[5],[6],[7]] => 6
([(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,2] => [2,2,1,1,1,1] => [[1,2],[3,4],[5],[6],[7],[8]] => 6
([(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,3] => [2,2,2,1,1,1] => [[1,2],[3,4],[5,6],[7],[8],[9]] => 6
([(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,4] => [2,2,2,2,1,1] => [[1,2],[3,4],[5,6],[7,8],[9],[10]] => 6
([(0,1),(0,5),(0,6),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,4,3,2] => [4,4,3,2,1] => [[1,2,3,4],[5,6,7,8],[9,10,11],[12,13],[14]] => 5
([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(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]] => 6
([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7] => [1,1,1,1,1,1,1] => [[1],[2],[3],[4],[5],[6],[7]] => 7
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Description
The row containing the largest entry of a standard tableau.
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conjugate
Description
Return the conjugate partition of the partition.
The conjugate partition of the partition $\lambda$ of $n$ is the partition $\lambda^*$ whose Ferrers diagram is obtained from the diagram of $\lambda$ by interchanging rows with columns.
This is also called the associated partition or the transpose in the literature.
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initial tableau
Description
Sends an integer partition to the standard tableau obtained by filling the numbers $1$ through $n$ row by row.
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clique sizes
Description
The integer partition of the sizes of the maximal cliques of a graph.