Identifier
Mp00085:
Standard tableaux
—Schützenberger involution⟶
Standard tableaux
Mp00081: Standard tableaux —reading word permutation⟶ Permutations
Mp00208: Permutations —lattice of intervals⟶ Lattices
Mp00081: Standard tableaux —reading word permutation⟶ Permutations
Mp00208: Permutations —lattice of intervals⟶ Lattices
Images
[[1]] => [[1]] => [1] => ([(0,1)],2)
[[1,2]] => [[1,2]] => [1,2] => ([(0,1),(0,2),(1,3),(2,3)],4)
[[1],[2]] => [[1],[2]] => [2,1] => ([(0,1),(0,2),(1,3),(2,3)],4)
[[1,2,3]] => [[1,2,3]] => [1,2,3] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
[[1,3],[2]] => [[1,2],[3]] => [3,1,2] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
[[1,2],[3]] => [[1,3],[2]] => [2,1,3] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
[[1],[2],[3]] => [[1],[2],[3]] => [3,2,1] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
[[1,2,3,4]] => [[1,2,3,4]] => [1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)
[[1,3,4],[2]] => [[1,2,3],[4]] => [4,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)
[[1,2,4],[3]] => [[1,2,4],[3]] => [3,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[[1,2,3],[4]] => [[1,3,4],[2]] => [2,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)
[[1,3],[2,4]] => [[1,3],[2,4]] => [2,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)
[[1,2],[3,4]] => [[1,2],[3,4]] => [3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
[[1,4],[2],[3]] => [[1,2],[3],[4]] => [4,3,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)
[[1,3],[2],[4]] => [[1,3],[2],[4]] => [4,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[[1,2],[3],[4]] => [[1,4],[2],[3]] => [3,2,1,4] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)
[[1],[2],[3],[4]] => [[1],[2],[3],[4]] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)
[[1,2,3,4,5]] => [[1,2,3,4,5]] => [1,2,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(2,11),(3,11),(3,14),(4,12),(4,15),(5,14),(5,15),(7,9),(8,10),(9,6),(10,6),(11,7),(12,8),(13,9),(13,10),(14,7),(14,13),(15,8),(15,13)],16)
[[1,3,4,5],[2]] => [[1,2,3,4],[5]] => [5,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,10),(3,6),(4,10),(4,12),(5,11),(5,12),(7,9),(8,9),(9,6),(10,7),(11,8),(12,7),(12,8)],13)
[[1,2,4,5],[3]] => [[1,2,3,5],[4]] => [4,1,2,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,8),(3,7),(4,6),(5,6),(5,7),(6,10),(7,10),(8,9),(10,8)],11)
[[1,2,3,5],[4]] => [[1,2,4,5],[3]] => [3,1,2,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)
[[1,2,3,4],[5]] => [[1,3,4,5],[2]] => [2,1,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)
[[1,3,5],[2,4]] => [[1,2,4],[3,5]] => [3,5,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[1,2,5],[3,4]] => [[1,2,3],[4,5]] => [4,5,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(4,6),(5,7),(5,8),(6,10),(7,9),(8,9),(9,10)],11)
[[1,3,4],[2,5]] => [[1,3,4],[2,5]] => [2,5,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[1,2,4],[3,5]] => [[1,3,5],[2,4]] => [2,4,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[[1,2,3],[4,5]] => [[1,2,5],[3,4]] => [3,4,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(5,6),(6,9),(7,9),(9,8)],10)
[[1,4,5],[2],[3]] => [[1,2,3],[4],[5]] => [5,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,9),(3,11),(4,9),(4,10),(5,8),(5,11),(7,8),(8,6),(9,7),(10,7),(11,6)],12)
[[1,3,5],[2],[4]] => [[1,2,4],[3],[5]] => [5,3,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10)
[[1,2,5],[3],[4]] => [[1,2,5],[3],[4]] => [4,3,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,6),(3,7),(4,7),(5,6),(5,8),(6,10),(7,8),(8,10),(10,9)],11)
[[1,3,4],[2],[5]] => [[1,3,4],[2],[5]] => [5,2,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,6),(3,7),(4,7),(5,6),(5,8),(6,10),(7,8),(8,10),(10,9)],11)
[[1,2,4],[3],[5]] => [[1,3,5],[2],[4]] => [4,2,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10)
[[1,2,3],[4],[5]] => [[1,4,5],[2],[3]] => [3,2,1,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,9),(3,11),(4,9),(4,10),(5,8),(5,11),(7,8),(8,6),(9,7),(10,7),(11,6)],12)
[[1,4],[2,5],[3]] => [[1,3],[2,4],[5]] => [5,2,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[[1,3],[2,5],[4]] => [[1,2],[3,4],[5]] => [5,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(7,9),(8,10),(9,10)],11)
[[1,2],[3,5],[4]] => [[1,2],[3,5],[4]] => [4,3,5,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(8,9)],10)
[[1,3],[2,4],[5]] => [[1,4],[2,5],[3]] => [3,2,5,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[1,2],[3,4],[5]] => [[1,3],[2,5],[4]] => [4,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[1,5],[2],[3],[4]] => [[1,2],[3],[4],[5]] => [5,4,3,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)
[[1,4],[2],[3],[5]] => [[1,3],[2],[4],[5]] => [5,4,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)
[[1,3],[2],[4],[5]] => [[1,4],[2],[3],[5]] => [5,3,2,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,8),(3,7),(4,6),(5,6),(5,7),(6,10),(7,10),(8,9),(10,8)],11)
[[1,2],[3],[4],[5]] => [[1,5],[2],[3],[4]] => [4,3,2,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,10),(3,6),(4,10),(4,12),(5,11),(5,12),(7,9),(8,9),(9,6),(10,7),(11,8),(12,7),(12,8)],13)
[[1],[2],[3],[4],[5]] => [[1],[2],[3],[4],[5]] => [5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(2,11),(3,11),(3,14),(4,12),(4,15),(5,14),(5,15),(7,9),(8,10),(9,6),(10,6),(11,7),(12,8),(13,9),(13,10),(14,7),(14,13),(15,8),(15,13)],16)
[[1,2,3,4,5,6]] => [[1,2,3,4,5,6]] => [1,2,3,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,15),(2,14),(3,19),(3,21),(4,20),(4,21),(5,14),(5,19),(6,15),(6,20),(8,10),(9,11),(10,12),(11,13),(12,7),(13,7),(14,8),(15,9),(16,10),(16,18),(17,11),(17,18),(18,12),(18,13),(19,8),(19,16),(20,9),(20,17),(21,16),(21,17)],22)
[[1,3,4,5,6],[2]] => [[1,2,3,4,5],[6]] => [6,1,2,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,7),(4,13),(4,16),(5,14),(5,17),(6,16),(6,17),(8,12),(9,12),(10,8),(11,9),(12,7),(13,10),(14,11),(15,8),(15,9),(16,10),(16,15),(17,11),(17,15)],18)
[[1,2,4,5,6],[3]] => [[1,2,3,4,6],[5]] => [5,1,2,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,13),(3,12),(4,7),(5,12),(5,14),(6,13),(6,14),(8,11),(9,8),(10,8),(11,7),(12,9),(13,10),(14,9),(14,10)],15)
[[1,2,3,5,6],[4]] => [[1,2,3,5,6],[4]] => [4,1,2,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,10),(5,11),(5,12),(6,9),(6,13),(8,10),(9,7),(10,9),(11,8),(12,8),(13,7)],14)
[[1,2,3,4,6],[5]] => [[1,2,4,5,6],[3]] => [3,1,2,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,12),(5,14),(6,10),(6,14),(8,7),(9,7),(10,9),(11,10),(12,8),(13,11),(14,8),(14,9)],15)
[[1,2,3,4,5],[6]] => [[1,3,4,5,6],[2]] => [2,1,3,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,13),(4,12),(4,16),(5,13),(5,17),(6,16),(6,17),(8,10),(9,11),(10,7),(11,7),(12,8),(13,9),(14,12),(15,10),(15,11),(16,8),(16,15),(17,9),(17,15)],18)
[[1,3,5,6],[2,4]] => [[1,2,3,5],[4,6]] => [4,6,1,2,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,8),(5,7),(6,7),(6,8),(7,9),(8,9),(9,10)],11)
[[1,2,5,6],[3,4]] => [[1,2,3,4],[5,6]] => [5,6,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,11),(5,11),(5,14),(6,12),(6,14),(8,10),(9,10),(10,7),(11,8),(12,9),(13,7),(14,8),(14,9)],15)
[[1,3,4,6],[2,5]] => [[1,2,4,5],[3,6]] => [3,6,1,2,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)
[[1,2,4,6],[3,5]] => [[1,2,4,6],[3,5]] => [3,5,1,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[[1,2,3,6],[4,5]] => [[1,2,3,6],[4,5]] => [4,5,1,2,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,7),(5,7),(6,8),(6,9),(7,12),(8,11),(9,11),(11,12),(12,10)],13)
[[1,3,4,5],[2,6]] => [[1,3,4,5],[2,6]] => [2,6,1,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,8),(5,7),(6,7),(6,8),(7,9),(8,9),(9,10)],11)
[[1,2,4,5],[3,6]] => [[1,3,4,6],[2,5]] => [2,5,1,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[[1,2,3,5],[4,6]] => [[1,3,5,6],[2,4]] => [2,4,1,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,10),(5,7),(6,7),(6,8),(7,9),(8,9),(10,8)],11)
[[1,2,3,4],[5,6]] => [[1,2,5,6],[3,4]] => [3,4,1,2,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(6,10),(7,12),(8,11),(9,11),(10,12),(11,10)],13)
[[1,4,5,6],[2],[3]] => [[1,2,3,4],[5],[6]] => [6,5,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,12),(4,11),(4,14),(5,12),(5,15),(6,13),(6,15),(8,11),(9,8),(10,8),(11,7),(12,9),(13,10),(14,7),(15,9),(15,10)],16)
[[1,3,5,6],[2],[4]] => [[1,2,3,5],[4],[6]] => [6,4,1,2,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(3,8),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13)
[[1,2,5,6],[3],[4]] => [[1,2,3,6],[4],[5]] => [5,4,1,2,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,7),(5,10),(5,13),(6,11),(6,12),(8,10),(9,7),(10,9),(11,8),(12,8),(13,9)],14)
[[1,3,4,6],[2],[5]] => [[1,2,4,5],[3],[6]] => [6,3,1,2,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(11,9),(12,10)],13)
[[1,2,4,6],[3],[5]] => [[1,2,4,6],[3],[5]] => [5,3,1,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12)
[[1,2,3,6],[4],[5]] => [[1,2,5,6],[3],[4]] => [4,3,1,2,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,10),(5,12),(6,9),(6,11),(8,10),(9,8),(10,7),(11,8),(12,7),(13,9)],14)
[[1,3,4,5],[2],[6]] => [[1,3,4,5],[2],[6]] => [6,2,1,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,7),(5,11),(5,14),(6,12),(6,14),(8,10),(9,10),(10,7),(11,8),(12,9),(13,11),(14,8),(14,9)],15)
[[1,2,4,5],[3],[6]] => [[1,3,4,6],[2],[5]] => [5,2,1,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,9),(5,11),(6,7),(6,10),(7,12),(8,10),(10,12),(11,9),(12,11)],13)
[[1,2,3,5],[4],[6]] => [[1,3,5,6],[2],[4]] => [4,2,1,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13)
[[1,2,3,4],[5],[6]] => [[1,4,5,6],[2],[3]] => [3,2,1,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,12),(4,13),(4,14),(5,11),(5,15),(6,12),(6,15),(8,11),(9,7),(10,7),(11,9),(12,10),(13,8),(14,8),(15,9),(15,10)],16)
[[1,3,5],[2,4,6]] => [[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,5],[3,4,6]] => [[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)
[[1,3,4],[2,5,6]] => [[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)
[[1,2,4],[3,5,6]] => [[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)
[[1,2,3],[4,5,6]] => [[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,13),(4,12),(5,12),(5,13),(6,10),(6,11),(8,7),(9,7),(10,8),(11,8),(12,9),(13,9)],14)
[[1,4,6],[2,5],[3]] => [[1,2,4],[3,5],[6]] => [6,3,5,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[[1,3,6],[2,5],[4]] => [[1,2,3],[4,5],[6]] => [6,4,5,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,10),(4,13),(5,13),(6,11),(6,12),(8,9),(9,7),(10,7),(11,8),(12,8),(13,9),(13,10)],14)
[[1,2,6],[3,5],[4]] => [[1,2,3],[4,6],[5]] => [5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,8),(3,7),(4,9),(5,9),(6,7),(6,8),(7,11),(8,11),(9,10),(10,12),(11,12)],13)
[[1,3,6],[2,4],[5]] => [[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)
[[1,2,6],[3,4],[5]] => [[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[1,4,5],[2,6],[3]] => [[1,3,4],[2,5],[6]] => [6,2,5,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[[1,3,5],[2,6],[4]] => [[1,3,5],[2,4],[6]] => [6,2,4,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(9,7)],10)
[[1,2,5],[3,6],[4]] => [[1,3,6],[2,4],[5]] => [5,2,4,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(9,7)],10)
[[1,3,4],[2,6],[5]] => [[1,2,5],[3,4],[6]] => [6,3,4,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,8),(5,7),(6,7),(7,11),(8,11),(9,10),(11,9)],12)
[[1,2,4],[3,6],[5]] => [[1,2,6],[3,4],[5]] => [5,3,4,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(8,11),(9,12),(11,12),(12,10)],13)
[[1,2,3],[4,6],[5]] => [[1,2,6],[3,5],[4]] => [4,3,5,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(9,11),(11,10)],12)
[[1,3,5],[2,4],[6]] => [[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,2,5],[3,4],[6]] => [[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[1,3,4],[2,5],[6]] => [[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)
[[1,2,4],[3,5],[6]] => [[1,4,6],[2,5],[3]] => [3,2,5,1,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[[1,2,3],[4,5],[6]] => [[1,3,6],[2,5],[4]] => [4,2,5,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9)
[[1,5,6],[2],[3],[4]] => [[1,2,3],[4],[5],[6]] => [6,5,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,12),(4,13),(4,14),(5,11),(5,15),(6,12),(6,15),(8,11),(9,7),(10,7),(11,9),(12,10),(13,8),(14,8),(15,9),(15,10)],16)
[[1,4,6],[2],[3],[5]] => [[1,2,4],[3],[5],[6]] => [6,5,3,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13)
[[1,3,6],[2],[4],[5]] => [[1,2,5],[3],[4],[6]] => [6,4,3,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,9),(5,11),(6,7),(6,10),(7,12),(8,10),(10,12),(11,9),(12,11)],13)
[[1,2,6],[3],[4],[5]] => [[1,2,6],[3],[4],[5]] => [5,4,3,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,7),(5,11),(5,14),(6,12),(6,14),(8,10),(9,10),(10,7),(11,8),(12,9),(13,11),(14,8),(14,9)],15)
[[1,4,5],[2],[3],[6]] => [[1,3,4],[2],[5],[6]] => [6,5,2,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,10),(5,12),(6,9),(6,11),(8,10),(9,8),(10,7),(11,8),(12,7),(13,9)],14)
[[1,3,5],[2],[4],[6]] => [[1,3,5],[2],[4],[6]] => [6,4,2,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12)
[[1,2,5],[3],[4],[6]] => [[1,3,6],[2],[4],[5]] => [5,4,2,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(11,9),(12,10)],13)
[[1,3,4],[2],[5],[6]] => [[1,4,5],[2],[3],[6]] => [6,3,2,1,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,7),(5,10),(5,13),(6,11),(6,12),(8,10),(9,7),(10,9),(11,8),(12,8),(13,9)],14)
[[1,2,4],[3],[5],[6]] => [[1,4,6],[2],[3],[5]] => [5,3,2,1,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(3,8),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13)
[[1,2,3],[4],[5],[6]] => [[1,5,6],[2],[3],[4]] => [4,3,2,1,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,12),(4,11),(4,14),(5,12),(5,15),(6,13),(6,15),(8,11),(9,8),(10,8),(11,7),(12,9),(13,10),(14,7),(15,9),(15,10)],16)
[[1,4],[2,5],[3,6]] => [[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[1,3],[2,5],[4,6]] => [[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
>>> Load all 664 entries. <<<
[[1,2],[3,5],[4,6]] => [[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,9),(5,7),(6,7),(7,8),(9,8)],10)
[[1,3],[2,4],[5,6]] => [[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,9),(5,7),(6,7),(7,8),(9,8)],10)
[[1,2],[3,4],[5,6]] => [[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,9),(6,9),(7,11),(8,10),(9,10),(9,11),(10,12),(11,12)],13)
[[1,5],[2,6],[3],[4]] => [[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,10),(5,7),(6,7),(6,8),(7,9),(8,9),(10,8)],11)
[[1,4],[2,6],[3],[5]] => [[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,12),(4,12),(5,11),(6,11),(6,13),(8,9),(9,7),(10,7),(11,10),(12,8),(13,9),(13,10),(14,8),(14,13)],15)
[[1,3],[2,6],[4],[5]] => [[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,12),(8,9),(9,10),(9,12),(10,11),(12,11)],13)
[[1,2],[3,6],[4],[5]] => [[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,7),(5,7),(6,8),(6,9),(7,12),(8,11),(9,11),(10,12),(11,10)],13)
[[1,4],[2,5],[3],[6]] => [[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[[1,3],[2,5],[4],[6]] => [[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9)
[[1,2],[3,5],[4],[6]] => [[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[1,3],[2,4],[5],[6]] => [[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,8),(5,7),(6,7),(6,8),(7,9),(8,9),(9,10)],11)
[[1,2],[3,4],[5],[6]] => [[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[1,6],[2],[3],[4],[5]] => [[1,2],[3],[4],[5],[6]] => [6,5,4,3,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,13),(4,12),(4,16),(5,13),(5,17),(6,16),(6,17),(8,10),(9,11),(10,7),(11,7),(12,8),(13,9),(14,12),(15,10),(15,11),(16,8),(16,15),(17,9),(17,15)],18)
[[1,5],[2],[3],[4],[6]] => [[1,3],[2],[4],[5],[6]] => [6,5,4,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,12),(5,14),(6,10),(6,14),(8,7),(9,7),(10,9),(11,10),(12,8),(13,11),(14,8),(14,9)],15)
[[1,4],[2],[3],[5],[6]] => [[1,4],[2],[3],[5],[6]] => [6,5,3,2,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,10),(5,11),(5,12),(6,9),(6,13),(8,10),(9,7),(10,9),(11,8),(12,8),(13,7)],14)
[[1,3],[2],[4],[5],[6]] => [[1,5],[2],[3],[4],[6]] => [6,4,3,2,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,13),(3,12),(4,7),(5,12),(5,14),(6,13),(6,14),(8,11),(9,8),(10,8),(11,7),(12,9),(13,10),(14,9),(14,10)],15)
[[1,2],[3],[4],[5],[6]] => [[1,6],[2],[3],[4],[5]] => [5,4,3,2,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,7),(4,13),(4,16),(5,14),(5,17),(6,16),(6,17),(8,12),(9,12),(10,8),(11,9),(12,7),(13,10),(14,11),(15,8),(15,9),(16,10),(16,15),(17,11),(17,15)],18)
[[1],[2],[3],[4],[5],[6]] => [[1],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,15),(2,14),(3,19),(3,21),(4,20),(4,21),(5,14),(5,19),(6,15),(6,20),(8,10),(9,11),(10,12),(11,13),(12,7),(13,7),(14,8),(15,9),(16,10),(16,18),(17,11),(17,18),(18,12),(18,13),(19,8),(19,16),(20,9),(20,17),(21,16),(21,17)],22)
[[1,2,4,5,6,7],[3]] => [[1,2,3,4,5,7],[6]] => [6,1,2,3,4,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,16),(3,15),(4,8),(5,15),(5,18),(6,16),(6,19),(7,18),(7,19),(9,11),(10,11),(11,14),(12,9),(13,10),(14,8),(15,12),(16,13),(17,9),(17,10),(18,12),(18,17),(19,13),(19,17)],20)
[[1,2,3,5,6,7],[4]] => [[1,2,3,4,6,7],[5]] => [5,1,2,3,4,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,15),(4,14),(5,12),(5,16),(6,14),(6,17),(7,15),(7,17),(9,13),(10,9),(11,9),(12,8),(13,12),(14,10),(15,11),(16,8),(17,10),(17,11)],18)
[[1,2,3,4,6,7],[5]] => [[1,2,3,5,6,7],[4]] => [4,1,2,3,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,15),(4,14),(5,15),(5,16),(6,12),(6,17),(7,14),(7,17),(9,13),(10,8),(11,8),(12,10),(13,12),(14,11),(15,9),(16,9),(17,10),(17,11)],18)
[[1,2,3,4,5,7],[6]] => [[1,2,4,5,6,7],[3]] => [3,1,2,4,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,16),(3,16),(4,14),(5,15),(5,18),(6,13),(6,19),(7,18),(7,19),(9,11),(10,12),(11,8),(12,8),(13,10),(14,13),(15,9),(16,14),(17,11),(17,12),(18,9),(18,17),(19,10),(19,17)],20)
[[1,3,5,6,7],[2,4]] => [[1,2,3,4,6],[5,7]] => [5,7,1,2,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,9),(5,8),(6,8),(6,10),(7,9),(7,10),(8,11),(9,12),(10,11),(10,12),(11,13),(12,13),(13,14)],15)
[[1,2,5,6,7],[3,4]] => [[1,2,3,4,5],[6,7]] => [6,7,1,2,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,14),(5,14),(5,18),(6,15),(6,19),(7,18),(7,19),(9,13),(10,13),(11,9),(12,10),(13,8),(14,11),(15,12),(16,8),(17,9),(17,10),(18,11),(18,17),(19,12),(19,17)],20)
[[1,3,4,6,7],[2,5]] => [[1,2,3,5,6],[4,7]] => [4,7,1,2,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[1,2,4,6,7],[3,5]] => [[1,2,3,5,7],[4,6]] => [4,6,1,2,3,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[[1,2,3,6,7],[4,5]] => [[1,2,3,4,7],[5,6]] => [5,6,1,2,3,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,14),(4,13),(5,8),(6,13),(6,16),(7,14),(7,16),(9,12),(10,9),(11,9),(12,8),(13,10),(14,11),(15,12),(16,10),(16,11)],17)
[[1,3,4,5,7],[2,6]] => [[1,2,4,5,6],[3,7]] => [3,7,1,2,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[1,2,4,5,7],[3,6]] => [[1,2,4,5,7],[3,6]] => [3,6,1,2,4,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[1,2,3,5,7],[4,6]] => [[1,2,4,6,7],[3,5]] => [3,5,1,2,4,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[[1,2,3,4,7],[5,6]] => [[1,2,3,6,7],[4,5]] => [4,5,1,2,3,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,12),(6,11),(6,14),(7,12),(7,13),(9,11),(10,9),(11,8),(12,10),(13,10),(14,8),(15,9)],16)
[[1,3,4,5,6],[2,7]] => [[1,3,4,5,6],[2,7]] => [2,7,1,3,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,9),(5,8),(6,8),(6,10),(7,9),(7,10),(8,11),(9,12),(10,11),(10,12),(11,13),(12,13),(13,14)],15)
[[1,2,4,5,6],[3,7]] => [[1,3,4,5,7],[2,6]] => [2,6,1,3,4,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[[1,2,3,5,6],[4,7]] => [[1,3,4,6,7],[2,5]] => [2,5,1,3,4,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[[1,2,3,4,6],[5,7]] => [[1,3,5,6,7],[2,4]] => [2,4,1,3,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,14),(5,8),(6,8),(6,9),(7,9),(7,10),(8,11),(9,11),(9,12),(10,12),(11,13),(12,13),(14,10)],15)
[[1,2,3,4,5],[6,7]] => [[1,2,5,6,7],[3,4]] => [3,4,1,2,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,14),(4,14),(5,13),(6,12),(6,16),(7,13),(7,16),(9,12),(10,8),(11,8),(12,10),(13,11),(14,9),(15,9),(16,10),(16,11)],17)
[[1,4,5,6,7],[2],[3]] => [[1,2,3,4,5],[6],[7]] => [7,6,1,2,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,16),(3,15),(4,14),(4,17),(5,15),(5,19),(6,16),(6,20),(7,19),(7,20),(9,14),(10,9),(11,9),(12,10),(13,11),(14,8),(15,12),(16,13),(17,8),(18,10),(18,11),(19,12),(19,18),(20,13),(20,18)],21)
[[1,3,5,6,7],[2],[4]] => [[1,2,3,4,6],[5],[7]] => [7,5,1,2,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,13),(3,15),(4,14),(5,8),(6,14),(6,16),(7,15),(7,16),(9,12),(10,9),(11,9),(12,13),(13,8),(14,10),(15,11),(16,10),(16,11)],17)
[[1,2,5,6,7],[3],[4]] => [[1,2,3,4,7],[5],[6]] => [6,5,1,2,3,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,16),(4,8),(5,13),(5,16),(6,14),(6,17),(7,15),(7,17),(9,13),(10,9),(11,9),(12,8),(13,12),(14,10),(15,11),(16,12),(17,10),(17,11)],18)
[[1,3,4,6,7],[2],[5]] => [[1,2,3,5,6],[4],[7]] => [7,4,1,2,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,13),(4,12),(5,8),(6,14),(6,15),(7,11),(7,13),(9,12),(10,8),(11,10),(12,11),(13,10),(14,9),(15,9)],16)
[[1,2,4,6,7],[3],[5]] => [[1,2,3,5,7],[4],[6]] => [6,4,1,2,3,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,8),(3,8),(3,9),(4,11),(5,12),(6,13),(7,10),(8,14),(9,14),(11,12),(12,10),(13,11),(14,13)],15)
[[1,2,3,6,7],[4],[5]] => [[1,2,3,6,7],[4],[5]] => [5,4,1,2,3,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,14),(4,13),(5,12),(5,16),(6,11),(6,13),(7,14),(7,15),(9,12),(10,11),(11,9),(12,8),(13,9),(14,10),(15,10),(16,8)],17)
[[1,3,4,5,7],[2],[6]] => [[1,2,4,5,6],[3],[7]] => [7,3,1,2,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,11),(10,11),(11,8),(12,10),(13,12),(14,9),(15,13),(16,9),(16,10)],17)
[[1,2,4,5,7],[3],[6]] => [[1,2,4,5,7],[3],[6]] => [6,3,1,2,4,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,12),(11,14),(12,11),(13,10),(14,13)],15)
[[1,2,3,5,7],[4],[6]] => [[1,2,4,6,7],[3],[5]] => [5,3,1,2,4,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,11),(5,12),(6,13),(7,8),(7,10),(8,14),(9,13),(10,14),(11,12),(12,10),(13,11)],15)
[[1,2,3,4,7],[5],[6]] => [[1,2,5,6,7],[3],[4]] => [4,3,1,2,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,14),(4,15),(5,13),(5,15),(6,12),(6,17),(7,14),(7,17),(9,12),(10,8),(11,8),(12,10),(13,9),(14,11),(15,9),(16,13),(17,10),(17,11)],18)
[[1,3,4,5,6],[2],[7]] => [[1,3,4,5,6],[2],[7]] => [7,2,1,3,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,8),(5,14),(5,19),(6,15),(6,18),(7,18),(7,19),(9,13),(10,13),(11,10),(12,9),(13,8),(14,11),(15,12),(16,14),(17,9),(17,10),(18,12),(18,17),(19,11),(19,17)],20)
[[1,2,4,5,6],[3],[7]] => [[1,3,4,5,7],[2],[6]] => [6,2,1,3,4,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,12),(16,10),(16,11)],17)
[[1,2,3,5,6],[4],[7]] => [[1,3,4,6,7],[2],[5]] => [5,2,1,3,4,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,12),(10,9),(11,8),(12,11),(13,9),(14,8),(15,10)],16)
[[1,2,3,4,6],[5],[7]] => [[1,3,5,6,7],[2],[4]] => [4,2,1,3,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,15),(4,15),(5,12),(6,14),(6,16),(7,11),(7,16),(9,8),(10,8),(11,10),(12,13),(13,11),(14,9),(15,12),(16,9),(16,10)],17)
[[1,2,3,4,5],[6],[7]] => [[1,4,5,6,7],[2],[3]] => [3,2,1,4,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,16),(3,15),(4,16),(4,17),(5,14),(5,19),(6,15),(6,20),(7,19),(7,20),(9,14),(10,12),(11,13),(12,8),(13,8),(14,10),(15,11),(16,9),(17,9),(18,12),(18,13),(19,10),(19,18),(20,11),(20,18)],21)
[[1,3,5,7],[2,4,6]] => [[1,2,4,6],[3,5,7]] => [3,5,7,1,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[1,2,5,7],[3,4,6]] => [[1,2,4,5],[3,6,7]] => [3,6,7,1,2,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,11),(9,11),(10,11)],12)
[[1,3,4,7],[2,5,6]] => [[1,2,3,6],[4,5,7]] => [4,5,7,1,2,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[1,2,4,7],[3,5,6]] => [[1,2,3,5],[4,6,7]] => [4,6,7,1,2,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[1,2,3,7],[4,5,6]] => [[1,2,3,4],[5,6,7]] => [5,6,7,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,16),(4,15),(5,15),(5,16),(6,13),(6,17),(7,14),(7,17),(9,11),(10,11),(11,8),(12,8),(13,9),(14,10),(15,12),(16,12),(17,9),(17,10)],18)
[[1,3,5,6],[2,4,7]] => [[1,3,4,6],[2,5,7]] => [2,5,7,1,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[1,2,5,6],[3,4,7]] => [[1,3,4,5],[2,6,7]] => [2,6,7,1,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[1,3,4,6],[2,5,7]] => [[1,3,5,6],[2,4,7]] => [2,4,7,1,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[1,2,4,6],[3,5,7]] => [[1,3,5,7],[2,4,6]] => [2,4,6,1,3,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[[1,2,3,6],[4,5,7]] => [[1,3,4,7],[2,5,6]] => [2,5,6,1,3,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[1,3,4,5],[2,6,7]] => [[1,2,5,6],[3,4,7]] => [3,4,7,1,2,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,11),(9,11),(10,11)],12)
[[1,2,4,5],[3,6,7]] => [[1,2,5,7],[3,4,6]] => [3,4,6,1,2,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[1,2,3,5],[4,6,7]] => [[1,2,4,7],[3,5,6]] => [3,5,6,1,2,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[1,2,3,4],[5,6,7]] => [[1,2,3,7],[4,5,6]] => [4,5,6,1,2,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,15),(4,14),(5,8),(6,14),(6,15),(7,12),(7,13),(9,11),(10,11),(11,8),(12,9),(13,9),(14,10),(15,10)],16)
[[1,4,6,7],[2,5],[3]] => [[1,2,3,5],[4,6],[7]] => [7,4,6,1,2,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[[1,3,6,7],[2,5],[4]] => [[1,2,3,4],[5,6],[7]] => [7,5,6,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,17),(3,17),(4,15),(5,14),(6,14),(6,16),(7,15),(7,16),(9,12),(10,9),(11,9),(12,8),(13,8),(14,10),(15,11),(16,10),(16,11),(17,12),(17,13)],18)
[[1,2,6,7],[3,5],[4]] => [[1,2,3,4],[5,7],[6]] => [6,5,7,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,13),(6,16),(7,14),(7,16),(9,11),(10,11),(11,8),(12,8),(13,9),(14,10),(15,12),(16,9),(16,10)],17)
[[1,3,6,7],[2,4],[5]] => [[1,2,3,6],[4,7],[5]] => [5,4,7,1,2,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[1,2,6,7],[3,4],[5]] => [[1,2,3,5],[4,7],[6]] => [6,4,7,1,2,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,9),(6,8),(7,8),(7,9),(8,10),(9,10),(10,11)],12)
[[1,4,5,7],[2,6],[3]] => [[1,2,4,5],[3,6],[7]] => [7,3,6,1,2,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[1,3,5,7],[2,6],[4]] => [[1,2,4,6],[3,5],[7]] => [7,3,5,1,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)
[[1,2,5,7],[3,6],[4]] => [[1,2,4,7],[3,5],[6]] => [6,3,5,1,2,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)
[[1,3,4,7],[2,6],[5]] => [[1,2,3,6],[4,5],[7]] => [7,4,5,1,2,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,10),(4,9),(5,8),(6,8),(7,9),(7,10),(8,14),(9,13),(10,13),(11,12),(13,14),(14,11)],15)
[[1,2,4,7],[3,6],[5]] => [[1,2,3,7],[4,5],[6]] => [6,4,5,1,2,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,14),(3,13),(4,15),(5,15),(6,8),(7,13),(7,14),(9,10),(10,11),(11,8),(12,11),(13,9),(14,9),(15,10),(15,12)],16)
[[1,2,3,7],[4,6],[5]] => [[1,2,3,7],[4,6],[5]] => [5,4,6,1,2,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,13),(9,13),(10,11),(11,14),(13,14),(14,12)],15)
[[1,3,5,7],[2,4],[6]] => [[1,2,4,6],[3,7],[5]] => [5,3,7,1,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[1,2,5,7],[3,4],[6]] => [[1,2,4,5],[3,7],[6]] => [6,3,7,1,2,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[1,3,4,7],[2,5],[6]] => [[1,2,5,6],[3,7],[4]] => [4,3,7,1,2,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,11),(9,11),(10,11)],12)
[[1,2,4,7],[3,5],[6]] => [[1,2,5,7],[3,6],[4]] => [4,3,6,1,2,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[1,2,3,7],[4,5],[6]] => [[1,2,4,7],[3,6],[5]] => [5,3,6,1,2,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[[1,4,5,6],[2,7],[3]] => [[1,3,4,5],[2,6],[7]] => [7,2,6,1,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[[1,3,5,6],[2,7],[4]] => [[1,3,4,6],[2,5],[7]] => [7,2,5,1,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)
[[1,2,5,6],[3,7],[4]] => [[1,3,4,7],[2,5],[6]] => [6,2,5,1,3,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)
[[1,3,4,6],[2,7],[5]] => [[1,3,5,6],[2,4],[7]] => [7,2,4,1,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,12),(3,12),(4,12),(5,12),(6,8),(7,8),(7,9),(8,11),(9,11),(11,10),(12,9)],13)
[[1,2,4,6],[3,7],[5]] => [[1,3,5,7],[2,4],[6]] => [6,2,4,1,3,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,11),(3,11),(4,11),(5,11),(6,9),(7,10),(8,10),(10,9),(11,8)],12)
[[1,2,3,6],[4,7],[5]] => [[1,3,6,7],[2,4],[5]] => [5,2,4,1,3,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,12),(5,8),(6,9),(7,8),(7,10),(8,11),(9,10),(10,11),(12,9)],13)
[[1,3,4,5],[2,7],[6]] => [[1,2,5,6],[3,4],[7]] => [7,3,4,1,2,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(7,12),(8,14),(9,13),(10,13),(12,14),(13,12),(14,11)],15)
[[1,2,4,5],[3,7],[6]] => [[1,2,5,7],[3,4],[6]] => [6,3,4,1,2,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,13),(9,13),(11,10),(12,11),(13,12)],14)
[[1,2,3,5],[4,7],[6]] => [[1,2,6,7],[3,4],[5]] => [5,3,4,1,2,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,14),(4,12),(5,15),(6,15),(7,11),(7,13),(9,11),(10,9),(11,8),(12,9),(13,8),(14,10),(15,10),(15,12)],16)
[[1,2,3,4],[5,7],[6]] => [[1,2,6,7],[3,5],[4]] => [4,3,5,1,2,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,8),(3,8),(4,9),(5,10),(6,10),(7,9),(7,12),(8,14),(9,13),(10,11),(11,14),(12,13),(14,12)],15)
[[1,3,5,6],[2,4],[7]] => [[1,3,4,6],[2,7],[5]] => [5,2,7,1,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[1,2,5,6],[3,4],[7]] => [[1,3,4,5],[2,7],[6]] => [6,2,7,1,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,9),(6,8),(7,8),(7,9),(8,10),(9,10),(10,11)],12)
[[1,3,4,6],[2,5],[7]] => [[1,3,5,6],[2,7],[4]] => [4,2,7,1,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[1,2,4,6],[3,5],[7]] => [[1,3,5,7],[2,6],[4]] => [4,2,6,1,3,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[[1,2,3,6],[4,5],[7]] => [[1,3,4,7],[2,6],[5]] => [5,2,6,1,3,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[[1,3,4,5],[2,6],[7]] => [[1,4,5,6],[2,7],[3]] => [3,2,7,1,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[1,2,4,5],[3,6],[7]] => [[1,4,5,7],[2,6],[3]] => [3,2,6,1,4,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[1,2,3,5],[4,6],[7]] => [[1,4,6,7],[2,5],[3]] => [3,2,5,1,4,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[[1,2,3,4],[5,6],[7]] => [[1,3,6,7],[2,5],[4]] => [4,2,5,1,3,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,11),(6,8),(7,8),(7,9),(8,10),(9,10),(11,9)],12)
[[1,5,6,7],[2],[3],[4]] => [[1,2,3,4],[5],[6],[7]] => [7,6,5,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,17),(4,14),(4,19),(5,15),(5,18),(6,16),(6,18),(7,17),(7,19),(9,14),(10,9),(11,9),(12,8),(13,8),(14,12),(15,10),(16,11),(17,13),(18,10),(18,11),(19,12),(19,13)],20)
[[1,4,6,7],[2],[3],[5]] => [[1,2,3,5],[4],[6],[7]] => [7,6,4,1,2,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,12),(4,15),(5,11),(6,13),(6,14),(7,10),(7,15),(9,12),(10,8),(11,10),(12,11),(13,9),(14,9),(15,8)],16)
[[1,3,6,7],[2],[4],[5]] => [[1,2,3,6],[4],[5],[7]] => [7,5,4,1,2,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,8),(6,13),(6,14),(7,11),(7,15),(9,11),(10,12),(11,10),(12,8),(13,9),(14,9),(15,10)],16)
[[1,2,6,7],[3],[4],[5]] => [[1,2,3,7],[4],[5],[6]] => [6,5,4,1,2,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,14),(4,8),(5,15),(5,16),(6,13),(6,17),(7,14),(7,17),(9,13),(10,12),(11,12),(12,8),(13,10),(14,11),(15,9),(16,9),(17,10),(17,11)],18)
[[1,4,5,7],[2],[3],[6]] => [[1,2,4,5],[3],[6],[7]] => [7,6,3,1,2,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,11),(10,9),(11,8),(12,10),(13,9),(14,8),(15,12)],16)
[[1,3,5,7],[2],[4],[6]] => [[1,2,4,6],[3],[5],[7]] => [7,5,3,1,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,11),(5,12),(6,13),(7,9),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[[1,2,5,7],[3],[4],[6]] => [[1,2,4,7],[3],[5],[6]] => [6,5,3,1,2,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,13),(5,11),(6,12),(7,8),(7,10),(8,14),(9,13),(10,14),(12,10),(13,12),(14,11)],15)
[[1,3,4,7],[2],[5],[6]] => [[1,2,5,6],[3],[4],[7]] => [7,4,3,1,2,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,13),(4,14),(5,8),(6,12),(6,13),(7,11),(7,14),(9,11),(10,8),(11,10),(12,9),(13,9),(14,10),(15,12)],16)
[[1,2,4,7],[3],[5],[6]] => [[1,2,5,7],[3],[4],[6]] => [6,4,3,1,2,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,11),(11,14),(12,10),(13,12),(14,13)],15)
[[1,2,3,7],[4],[5],[6]] => [[1,2,6,7],[3],[4],[5]] => [5,4,3,1,2,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,16),(3,16),(4,14),(5,13),(5,15),(6,12),(6,17),(7,14),(7,17),(9,13),(10,9),(11,9),(12,10),(13,8),(14,11),(15,8),(16,12),(17,10),(17,11)],18)
[[1,4,5,6],[2],[3],[7]] => [[1,3,4,5],[2],[6],[7]] => [7,6,2,1,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,16),(3,16),(4,14),(5,13),(5,15),(6,12),(6,17),(7,14),(7,17),(9,13),(10,9),(11,9),(12,10),(13,8),(14,11),(15,8),(16,12),(17,10),(17,11)],18)
[[1,3,5,6],[2],[4],[7]] => [[1,3,4,6],[2],[5],[7]] => [7,5,2,1,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,11),(11,14),(12,10),(13,12),(14,13)],15)
[[1,2,5,6],[3],[4],[7]] => [[1,3,4,7],[2],[5],[6]] => [6,5,2,1,3,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,13),(4,14),(5,8),(6,12),(6,13),(7,11),(7,14),(9,11),(10,8),(11,10),(12,9),(13,9),(14,10),(15,12)],16)
[[1,3,4,6],[2],[5],[7]] => [[1,3,5,6],[2],[4],[7]] => [7,4,2,1,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,13),(5,11),(6,12),(7,8),(7,10),(8,14),(9,13),(10,14),(12,10),(13,12),(14,11)],15)
[[1,2,4,6],[3],[5],[7]] => [[1,3,5,7],[2],[4],[6]] => [6,4,2,1,3,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,11),(5,12),(6,13),(7,9),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[[1,2,3,6],[4],[5],[7]] => [[1,3,6,7],[2],[4],[5]] => [5,4,2,1,3,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,11),(10,9),(11,8),(12,10),(13,9),(14,8),(15,12)],16)
[[1,3,4,5],[2],[6],[7]] => [[1,4,5,6],[2],[3],[7]] => [7,3,2,1,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,14),(4,8),(5,15),(5,16),(6,13),(6,17),(7,14),(7,17),(9,13),(10,12),(11,12),(12,8),(13,10),(14,11),(15,9),(16,9),(17,10),(17,11)],18)
[[1,2,4,5],[3],[6],[7]] => [[1,4,5,7],[2],[3],[6]] => [6,3,2,1,4,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,8),(6,13),(6,14),(7,11),(7,15),(9,11),(10,12),(11,10),(12,8),(13,9),(14,9),(15,10)],16)
[[1,2,3,5],[4],[6],[7]] => [[1,4,6,7],[2],[3],[5]] => [5,3,2,1,4,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,12),(4,15),(5,11),(6,13),(6,14),(7,10),(7,15),(9,12),(10,8),(11,10),(12,11),(13,9),(14,9),(15,8)],16)
[[1,2,3,4],[5],[6],[7]] => [[1,5,6,7],[2],[3],[4]] => [4,3,2,1,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,17),(4,14),(4,19),(5,15),(5,18),(6,16),(6,18),(7,17),(7,19),(9,14),(10,9),(11,9),(12,8),(13,8),(14,12),(15,10),(16,11),(17,13),(18,10),(18,11),(19,12),(19,13)],20)
[[1,4,6],[2,5,7],[3]] => [[1,3,5],[2,4,6],[7]] => [7,2,4,6,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[[1,3,6],[2,5,7],[4]] => [[1,3,4],[2,5,6],[7]] => [7,2,5,6,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[1,2,6],[3,5,7],[4]] => [[1,3,4],[2,5,7],[6]] => [6,2,5,7,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[1,3,6],[2,4,7],[5]] => [[1,3,6],[2,4,7],[5]] => [5,2,4,7,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,6],[3,4,7],[5]] => [[1,3,5],[2,4,7],[6]] => [6,2,4,7,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,4,5],[2,6,7],[3]] => [[1,2,5],[3,4,6],[7]] => [7,3,4,6,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[1,3,5],[2,6,7],[4]] => [[1,2,4],[3,5,6],[7]] => [7,3,5,6,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[1,2,5],[3,6,7],[4]] => [[1,2,4],[3,5,7],[6]] => [6,3,5,7,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[1,3,4],[2,6,7],[5]] => [[1,2,3],[4,5,6],[7]] => [7,4,5,6,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,15),(4,14),(5,11),(6,12),(6,13),(7,14),(7,15),(9,10),(10,8),(11,8),(12,9),(13,9),(14,16),(15,16),(16,10),(16,11)],17)
[[1,2,4],[3,6,7],[5]] => [[1,2,3],[4,5,7],[6]] => [6,4,5,7,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,13),(9,13),(10,11),(11,12),(12,14),(13,14)],15)
[[1,2,3],[4,6,7],[5]] => [[1,2,3],[4,6,7],[5]] => [5,4,6,7,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,14),(4,13),(5,12),(6,11),(6,12),(7,13),(7,14),(9,8),(10,8),(11,9),(12,9),(13,10),(14,10),(15,11)],16)
[[1,3,5],[2,4,7],[6]] => [[1,2,6],[3,4,7],[5]] => [5,3,4,7,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12)
[[1,2,5],[3,4,7],[6]] => [[1,2,5],[3,4,7],[6]] => [6,3,4,7,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[1,3,4],[2,5,7],[6]] => [[1,2,6],[3,5,7],[4]] => [4,3,5,7,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12)
[[1,2,4],[3,5,7],[6]] => [[1,2,5],[3,6,7],[4]] => [4,3,6,7,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,11),(9,11),(10,11)],12)
[[1,2,3],[4,5,7],[6]] => [[1,2,4],[3,6,7],[5]] => [5,3,6,7,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[1,3,5],[2,4,6],[7]] => [[1,4,6],[2,5,7],[3]] => [3,2,5,7,1,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[1,2,5],[3,4,6],[7]] => [[1,4,5],[2,6,7],[3]] => [3,2,6,7,1,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,11),(9,11),(10,11)],12)
[[1,3,4],[2,5,6],[7]] => [[1,3,6],[2,5,7],[4]] => [4,2,5,7,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,4],[3,5,6],[7]] => [[1,3,5],[2,6,7],[4]] => [4,2,6,7,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[1,2,3],[4,5,6],[7]] => [[1,3,4],[2,6,7],[5]] => [5,2,6,7,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[1,4,7],[2,5],[3,6]] => [[1,2,5],[3,6],[4,7]] => [4,7,3,6,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[1,3,7],[2,5],[4,6]] => [[1,2,4],[3,6],[5,7]] => [5,7,3,6,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[1,2,7],[3,5],[4,6]] => [[1,2,4],[3,5],[6,7]] => [6,7,3,5,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[1,3,7],[2,4],[5,6]] => [[1,2,3],[4,6],[5,7]] => [5,7,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,12),(5,9),(6,8),(7,8),(7,9),(8,11),(9,11),(11,10),(12,10)],13)
[[1,2,7],[3,4],[5,6]] => [[1,2,3],[4,5],[6,7]] => [6,7,4,5,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,13),(4,12),(5,15),(6,15),(7,12),(7,13),(9,10),(10,8),(11,8),(12,9),(13,9),(14,11),(15,10),(15,11)],16)
[[1,4,6],[2,5],[3,7]] => [[1,3,5],[2,6],[4,7]] => [4,7,2,6,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,3,6],[2,5],[4,7]] => [[1,3,4],[2,6],[5,7]] => [5,7,2,6,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[1,2,6],[3,5],[4,7]] => [[1,3,4],[2,5],[6,7]] => [6,7,2,5,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[1,3,6],[2,4],[5,7]] => [[1,3,6],[2,4],[5,7]] => [5,7,2,4,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8),(8,9)],10)
[[1,2,6],[3,4],[5,7]] => [[1,3,5],[2,4],[6,7]] => [6,7,2,4,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,10),(9,10),(11,9)],12)
[[1,4,5],[2,6],[3,7]] => [[1,4,5],[2,6],[3,7]] => [3,7,2,6,1,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[1,3,5],[2,6],[4,7]] => [[1,4,6],[2,5],[3,7]] => [3,7,2,5,1,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,5],[3,6],[4,7]] => [[1,4,7],[2,5],[3,6]] => [3,6,2,5,1,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[[1,3,4],[2,6],[5,7]] => [[1,3,6],[2,5],[4,7]] => [4,7,2,5,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2,4],[3,6],[5,7]] => [[1,3,7],[2,5],[4,6]] => [4,6,2,5,1,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[[1,2,3],[4,6],[5,7]] => [[1,3,7],[2,4],[5,6]] => [5,6,2,4,1,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,11),(7,9),(8,10),(10,9),(11,10)],12)
[[1,3,5],[2,4],[6,7]] => [[1,2,6],[3,4],[5,7]] => [5,7,3,4,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10),(10,11)],12)
[[1,2,5],[3,4],[6,7]] => [[1,2,5],[3,4],[6,7]] => [6,7,3,4,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,13),(9,12),(10,12),(11,13),(12,11)],14)
[[1,3,4],[2,5],[6,7]] => [[1,2,6],[3,5],[4,7]] => [4,7,3,5,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[1,2,4],[3,5],[6,7]] => [[1,2,7],[3,5],[4,6]] => [4,6,3,5,1,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,11),(7,9),(8,10),(10,9),(11,10)],12)
[[1,2,3],[4,5],[6,7]] => [[1,2,7],[3,4],[5,6]] => [5,6,3,4,1,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,13),(9,12),(10,12),(10,13),(12,14),(13,14),(14,11)],15)
[[1,5,7],[2,6],[3],[4]] => [[1,2,4],[3,5],[6],[7]] => [7,6,3,5,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[[1,4,7],[2,6],[3],[5]] => [[1,2,3],[4,5],[6],[7]] => [7,6,4,5,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,17),(3,14),(4,13),(5,15),(6,13),(6,14),(7,15),(7,16),(9,11),(10,9),(11,8),(12,8),(13,10),(14,10),(15,12),(16,11),(16,12),(17,9),(17,16)],18)
[[1,3,7],[2,6],[4],[5]] => [[1,2,3],[4,6],[5],[7]] => [7,5,4,6,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,14),(6,15),(7,12),(7,13),(9,10),(10,8),(11,8),(12,9),(13,9),(14,15),(15,10),(15,11)],16)
[[1,2,7],[3,6],[4],[5]] => [[1,2,3],[4,7],[5],[6]] => [6,5,4,7,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,15),(4,14),(5,11),(6,12),(6,13),(7,14),(7,15),(9,11),(10,8),(11,8),(12,10),(13,10),(14,9),(15,9)],16)
[[1,4,7],[2,5],[3],[6]] => [[1,2,5],[3,6],[4],[7]] => [7,4,3,6,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[1,3,7],[2,5],[4],[6]] => [[1,2,4],[3,6],[5],[7]] => [7,5,3,6,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[[1,2,7],[3,5],[4],[6]] => [[1,2,4],[3,7],[5],[6]] => [6,5,3,7,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[1,3,7],[2,4],[5],[6]] => [[1,2,6],[3,7],[4],[5]] => [5,4,3,7,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[1,2,7],[3,4],[5],[6]] => [[1,2,5],[3,7],[4],[6]] => [6,4,3,7,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[1,5,6],[2,7],[3],[4]] => [[1,3,4],[2,5],[6],[7]] => [7,6,2,5,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[[1,4,6],[2,7],[3],[5]] => [[1,3,5],[2,4],[6],[7]] => [7,6,2,4,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,12),(5,8),(6,9),(7,8),(7,10),(8,11),(9,10),(10,11),(12,9)],13)
[[1,3,6],[2,7],[4],[5]] => [[1,3,6],[2,4],[5],[7]] => [7,5,2,4,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,11),(3,11),(4,11),(5,11),(6,9),(7,10),(8,10),(10,9),(11,8)],12)
[[1,2,6],[3,7],[4],[5]] => [[1,3,7],[2,4],[5],[6]] => [6,5,2,4,1,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,12),(3,12),(4,12),(5,12),(6,8),(7,8),(7,9),(8,11),(9,11),(11,10),(12,9)],13)
[[1,4,5],[2,7],[3],[6]] => [[1,2,5],[3,4],[6],[7]] => [7,6,3,4,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(7,12),(8,14),(9,14),(10,13),(11,12),(12,13),(14,11)],15)
[[1,3,5],[2,7],[4],[6]] => [[1,2,6],[3,4],[5],[7]] => [7,5,3,4,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,11),(7,12),(8,14),(9,11),(9,14),(11,13),(12,10),(13,12),(14,13)],15)
[[1,2,5],[3,7],[4],[6]] => [[1,2,7],[3,4],[5],[6]] => [6,5,3,4,1,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,14),(4,14),(5,13),(6,8),(7,13),(7,15),(9,10),(10,12),(11,12),(12,8),(13,11),(14,9),(15,10),(15,11),(16,9),(16,15)],17)
[[1,3,4],[2,7],[5],[6]] => [[1,2,6],[3,5],[4],[7]] => [7,4,3,5,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,11),(7,12),(8,13),(9,11),(11,13),(12,10),(13,12)],14)
[[1,2,4],[3,7],[5],[6]] => [[1,2,7],[3,5],[4],[6]] => [6,4,3,5,1,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,11),(7,12),(8,13),(9,12),(11,14),(12,11),(12,13),(13,14),(14,10)],15)
[[1,2,3],[4,7],[5],[6]] => [[1,2,7],[3,6],[4],[5]] => [5,4,3,6,1,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,10),(4,9),(5,8),(6,8),(7,9),(7,10),(8,14),(9,13),(10,13),(12,14),(13,12),(14,11)],15)
[[1,4,6],[2,5],[3],[7]] => [[1,3,5],[2,6],[4],[7]] => [7,4,2,6,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[[1,3,6],[2,5],[4],[7]] => [[1,3,4],[2,6],[5],[7]] => [7,5,2,6,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[[1,2,6],[3,5],[4],[7]] => [[1,3,4],[2,7],[5],[6]] => [6,5,2,7,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[1,3,6],[2,4],[5],[7]] => [[1,3,6],[2,7],[4],[5]] => [5,4,2,7,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[1,2,6],[3,4],[5],[7]] => [[1,3,5],[2,7],[4],[6]] => [6,4,2,7,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,4,5],[2,6],[3],[7]] => [[1,4,5],[2,6],[3],[7]] => [7,3,2,6,1,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[1,3,5],[2,6],[4],[7]] => [[1,4,6],[2,5],[3],[7]] => [7,3,2,5,1,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)
[[1,2,5],[3,6],[4],[7]] => [[1,4,7],[2,5],[3],[6]] => [6,3,2,5,1,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)
[[1,3,4],[2,6],[5],[7]] => [[1,3,6],[2,5],[4],[7]] => [7,4,2,5,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,10),(3,10),(4,10),(5,10),(6,10),(7,8),(8,9),(10,8)],11)
[[1,2,4],[3,6],[5],[7]] => [[1,3,7],[2,5],[4],[6]] => [6,4,2,5,1,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,10),(3,10),(4,10),(5,10),(6,10),(7,8),(8,9),(10,8)],11)
[[1,2,3],[4,6],[5],[7]] => [[1,3,7],[2,6],[4],[5]] => [5,4,2,6,1,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[[1,3,5],[2,4],[6],[7]] => [[1,4,6],[2,7],[3],[5]] => [5,3,2,7,1,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[1,2,5],[3,4],[6],[7]] => [[1,4,5],[2,7],[3],[6]] => [6,3,2,7,1,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[1,3,4],[2,5],[6],[7]] => [[1,5,6],[2,7],[3],[4]] => [4,3,2,7,1,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[1,2,4],[3,5],[6],[7]] => [[1,5,7],[2,6],[3],[4]] => [4,3,2,6,1,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[[1,2,3],[4,5],[6],[7]] => [[1,4,7],[2,6],[3],[5]] => [5,3,2,6,1,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[[1,6,7],[2],[3],[4],[5]] => [[1,2,3],[4],[5],[6],[7]] => [7,6,5,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,16),(3,15),(4,16),(4,17),(5,14),(5,19),(6,15),(6,20),(7,19),(7,20),(9,14),(10,12),(11,13),(12,8),(13,8),(14,10),(15,11),(16,9),(17,9),(18,12),(18,13),(19,10),(19,18),(20,11),(20,18)],21)
[[1,5,7],[2],[3],[4],[6]] => [[1,2,4],[3],[5],[6],[7]] => [7,6,5,3,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,15),(4,15),(5,12),(6,14),(6,16),(7,11),(7,16),(9,8),(10,8),(11,10),(12,13),(13,11),(14,9),(15,12),(16,9),(16,10)],17)
[[1,4,7],[2],[3],[5],[6]] => [[1,2,5],[3],[4],[6],[7]] => [7,6,4,3,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,12),(10,9),(11,8),(12,11),(13,9),(14,8),(15,10)],16)
[[1,3,7],[2],[4],[5],[6]] => [[1,2,6],[3],[4],[5],[7]] => [7,5,4,3,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,12),(16,10),(16,11)],17)
[[1,2,7],[3],[4],[5],[6]] => [[1,2,7],[3],[4],[5],[6]] => [6,5,4,3,1,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,8),(5,14),(5,19),(6,15),(6,18),(7,18),(7,19),(9,13),(10,13),(11,10),(12,9),(13,8),(14,11),(15,12),(16,14),(17,9),(17,10),(18,12),(18,17),(19,11),(19,17)],20)
[[1,5,6],[2],[3],[4],[7]] => [[1,3,4],[2],[5],[6],[7]] => [7,6,5,2,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,14),(4,15),(5,13),(5,15),(6,12),(6,17),(7,14),(7,17),(9,12),(10,8),(11,8),(12,10),(13,9),(14,11),(15,9),(16,13),(17,10),(17,11)],18)
[[1,4,6],[2],[3],[5],[7]] => [[1,3,5],[2],[4],[6],[7]] => [7,6,4,2,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,11),(5,12),(6,13),(7,8),(7,10),(8,14),(9,13),(10,14),(11,12),(12,10),(13,11)],15)
[[1,3,6],[2],[4],[5],[7]] => [[1,3,6],[2],[4],[5],[7]] => [7,5,4,2,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,12),(11,14),(12,11),(13,10),(14,13)],15)
[[1,2,6],[3],[4],[5],[7]] => [[1,3,7],[2],[4],[5],[6]] => [6,5,4,2,1,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,11),(10,11),(11,8),(12,10),(13,12),(14,9),(15,13),(16,9),(16,10)],17)
[[1,4,5],[2],[3],[6],[7]] => [[1,4,5],[2],[3],[6],[7]] => [7,6,3,2,1,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,14),(4,13),(5,12),(5,16),(6,11),(6,13),(7,14),(7,15),(9,12),(10,11),(11,9),(12,8),(13,9),(14,10),(15,10),(16,8)],17)
[[1,3,5],[2],[4],[6],[7]] => [[1,4,6],[2],[3],[5],[7]] => [7,5,3,2,1,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,8),(3,8),(3,9),(4,11),(5,12),(6,13),(7,10),(8,14),(9,14),(11,12),(12,10),(13,11),(14,13)],15)
[[1,2,5],[3],[4],[6],[7]] => [[1,4,7],[2],[3],[5],[6]] => [6,5,3,2,1,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,13),(4,12),(5,8),(6,14),(6,15),(7,11),(7,13),(9,12),(10,8),(11,10),(12,11),(13,10),(14,9),(15,9)],16)
[[1,3,4],[2],[5],[6],[7]] => [[1,5,6],[2],[3],[4],[7]] => [7,4,3,2,1,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,16),(4,8),(5,13),(5,16),(6,14),(6,17),(7,15),(7,17),(9,13),(10,9),(11,9),(12,8),(13,12),(14,10),(15,11),(16,12),(17,10),(17,11)],18)
[[1,2,4],[3],[5],[6],[7]] => [[1,5,7],[2],[3],[4],[6]] => [6,4,3,2,1,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,13),(3,15),(4,14),(5,8),(6,14),(6,16),(7,15),(7,16),(9,12),(10,9),(11,9),(12,13),(13,8),(14,10),(15,11),(16,10),(16,11)],17)
[[1,2,3],[4],[5],[6],[7]] => [[1,6,7],[2],[3],[4],[5]] => [5,4,3,2,1,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,16),(3,15),(4,14),(4,17),(5,15),(5,19),(6,16),(6,20),(7,19),(7,20),(9,14),(10,9),(11,9),(12,10),(13,11),(14,8),(15,12),(16,13),(17,8),(18,10),(18,11),(19,12),(19,18),(20,13),(20,18)],21)
[[1,5],[2,6],[3,7],[4]] => [[1,4],[2,5],[3,6],[7]] => [7,3,6,2,5,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[[1,4],[2,6],[3,7],[5]] => [[1,3],[2,5],[4,6],[7]] => [7,4,6,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[[1,3],[2,6],[4,7],[5]] => [[1,3],[2,4],[5,6],[7]] => [7,5,6,2,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,12),(4,12),(5,12),(6,12),(7,9),(8,9),(8,10),(9,11),(10,11),(12,10)],13)
[[1,2],[3,6],[4,7],[5]] => [[1,3],[2,4],[5,7],[6]] => [6,5,7,2,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(10,9),(11,9)],12)
[[1,4],[2,5],[3,7],[6]] => [[1,2],[3,5],[4,6],[7]] => [7,4,6,3,5,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,12),(5,8),(6,8),(7,9),(8,10),(9,11),(10,11),(12,9),(12,10)],13)
[[1,3],[2,5],[4,7],[6]] => [[1,2],[3,4],[5,6],[7]] => [7,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,13),(3,12),(4,15),(5,15),(6,16),(7,16),(9,10),(10,8),(11,8),(12,11),(13,9),(14,10),(14,11),(15,9),(15,14),(16,12),(16,14)],17)
[[1,2],[3,5],[4,7],[6]] => [[1,2],[3,4],[5,7],[6]] => [6,5,7,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,8),(3,8),(4,9),(5,9),(6,10),(7,10),(8,12),(9,12),(9,14),(10,11),(11,14),(12,13),(14,13)],15)
[[1,3],[2,4],[5,7],[6]] => [[1,2],[3,6],[4,7],[5]] => [5,4,7,3,6,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[1,2],[3,4],[5,7],[6]] => [[1,2],[3,5],[4,7],[6]] => [6,4,7,3,5,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,10),(6,8),(7,8),(8,9),(10,9)],11)
[[1,4],[2,5],[3,6],[7]] => [[1,5],[2,6],[3,7],[4]] => [4,3,7,2,6,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[1,3],[2,5],[4,6],[7]] => [[1,4],[2,6],[3,7],[5]] => [5,3,7,2,6,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,2],[3,5],[4,6],[7]] => [[1,4],[2,5],[3,7],[6]] => [6,3,7,2,5,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,3],[2,4],[5,6],[7]] => [[1,3],[2,6],[4,7],[5]] => [5,4,7,2,6,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[1,2],[3,4],[5,6],[7]] => [[1,3],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[1,6],[2,7],[3],[4],[5]] => [[1,3],[2,4],[5],[6],[7]] => [7,6,5,2,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,14),(5,8),(6,8),(6,9),(7,9),(7,10),(8,11),(9,11),(9,12),(10,12),(11,13),(12,13),(14,10)],15)
[[1,5],[2,7],[3],[4],[6]] => [[1,2],[3,4],[5],[6],[7]] => [7,6,5,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,19),(3,15),(4,15),(5,14),(6,17),(6,18),(7,14),(7,18),(9,12),(10,9),(11,13),(12,8),(13,8),(14,11),(15,10),(16,12),(16,13),(17,9),(17,16),(18,11),(18,16),(19,10),(19,17)],20)
[[1,4],[2,7],[3],[5],[6]] => [[1,2],[3,5],[4],[6],[7]] => [7,6,4,3,5,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,13),(4,14),(5,14),(6,12),(7,12),(7,15),(9,10),(10,8),(11,8),(12,11),(13,9),(14,16),(15,10),(15,11),(16,9),(16,15)],17)
[[1,3],[2,7],[4],[5],[6]] => [[1,2],[3,6],[4],[5],[7]] => [7,5,4,3,6,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,14),(6,15),(7,12),(7,13),(9,15),(10,8),(11,8),(12,9),(13,9),(14,10),(15,10),(15,11)],16)
[[1,2],[3,7],[4],[5],[6]] => [[1,2],[3,7],[4],[5],[6]] => [6,5,4,3,7,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,13),(6,16),(7,14),(7,16),(9,12),(10,9),(11,9),(12,8),(13,10),(14,11),(15,8),(16,10),(16,11)],17)
[[1,5],[2,6],[3],[4],[7]] => [[1,4],[2,5],[3],[6],[7]] => [7,6,3,2,5,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[[1,4],[2,6],[3],[5],[7]] => [[1,3],[2,5],[4],[6],[7]] => [7,6,4,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,11),(6,8),(7,8),(7,9),(8,10),(9,10),(11,9)],12)
[[1,3],[2,6],[4],[5],[7]] => [[1,3],[2,6],[4],[5],[7]] => [7,5,4,2,6,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[[1,2],[3,6],[4],[5],[7]] => [[1,3],[2,7],[4],[5],[6]] => [6,5,4,2,7,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,9),(6,8),(7,8),(7,9),(8,10),(9,10),(10,11)],12)
[[1,4],[2,5],[3],[6],[7]] => [[1,5],[2,6],[3],[4],[7]] => [7,4,3,2,6,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[[1,3],[2,5],[4],[6],[7]] => [[1,4],[2,6],[3],[5],[7]] => [7,5,3,2,6,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[[1,2],[3,5],[4],[6],[7]] => [[1,4],[2,7],[3],[5],[6]] => [6,5,3,2,7,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[1,3],[2,4],[5],[6],[7]] => [[1,6],[2,7],[3],[4],[5]] => [5,4,3,2,7,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,9),(5,8),(6,8),(6,10),(7,9),(7,10),(8,11),(9,12),(10,11),(10,12),(11,13),(12,13),(13,14)],15)
[[1,2],[3,4],[5],[6],[7]] => [[1,5],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,9),(6,8),(7,8),(7,9),(8,10),(9,10),(10,11)],12)
[[1,6],[2],[3],[4],[5],[7]] => [[1,3],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,16),(3,16),(4,14),(5,15),(5,18),(6,13),(6,19),(7,18),(7,19),(9,11),(10,12),(11,8),(12,8),(13,10),(14,13),(15,9),(16,14),(17,11),(17,12),(18,9),(18,17),(19,10),(19,17)],20)
[[1,5],[2],[3],[4],[6],[7]] => [[1,4],[2],[3],[5],[6],[7]] => [7,6,5,3,2,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,15),(4,14),(5,15),(5,16),(6,12),(6,17),(7,14),(7,17),(9,13),(10,8),(11,8),(12,10),(13,12),(14,11),(15,9),(16,9),(17,10),(17,11)],18)
[[1,4],[2],[3],[5],[6],[7]] => [[1,5],[2],[3],[4],[6],[7]] => [7,6,4,3,2,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,15),(4,14),(5,12),(5,16),(6,14),(6,17),(7,15),(7,17),(9,13),(10,9),(11,9),(12,8),(13,12),(14,10),(15,11),(16,8),(17,10),(17,11)],18)
[[1,3],[2],[4],[5],[6],[7]] => [[1,6],[2],[3],[4],[5],[7]] => [7,5,4,3,2,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,16),(3,15),(4,8),(5,15),(5,18),(6,16),(6,19),(7,18),(7,19),(9,11),(10,11),(11,14),(12,9),(13,10),(14,8),(15,12),(16,13),(17,9),(17,10),(18,12),(18,17),(19,13),(19,17)],20)
[[1,2,3,4,6,7,8],[5]] => [[1,2,3,4,6,7,8],[5]] => [5,1,2,3,4,6,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,18),(3,17),(4,19),(5,15),(5,21),(6,17),(6,20),(7,18),(7,20),(8,19),(8,21),(10,16),(11,10),(12,10),(13,9),(14,9),(15,13),(16,15),(17,11),(18,12),(19,14),(20,11),(20,12),(21,13),(21,14)],22)
[[1,2,4,6,7,8],[3,5]] => [[1,2,3,4,6,8],[5,7]] => [5,7,1,2,3,4,6,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,16),(4,10),(5,9),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(13,15),(14,15),(15,16),(16,12)],17)
[[1,2,3,6,7,8],[4,5]] => [[1,2,3,4,5,8],[6,7]] => [6,7,1,2,3,4,5,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,18),(2,18),(3,17),(4,16),(5,9),(6,16),(6,20),(7,17),(7,21),(8,20),(8,21),(10,15),(11,10),(12,10),(13,11),(14,12),(15,9),(16,13),(17,14),(18,15),(19,11),(19,12),(20,13),(20,19),(21,14),(21,19)],22)
[[1,2,4,5,7,8],[3,6]] => [[1,2,3,5,6,8],[4,7]] => [4,7,1,2,3,5,6,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,10),(4,9),(5,11),(6,11),(7,12),(8,9),(8,10),(9,13),(10,13),(11,14),(13,14),(14,12)],15)
[[1,2,3,5,7,8],[4,6]] => [[1,2,3,5,7,8],[4,6]] => [4,6,1,2,3,5,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,15),(4,10),(5,9),(6,11),(7,9),(7,10),(8,11),(8,12),(9,14),(10,14),(11,13),(12,13),(14,15),(15,12)],16)
[[1,2,4,5,6,8],[3,7]] => [[1,2,4,5,6,8],[3,7]] => [3,7,1,2,4,5,6,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,10),(4,9),(5,11),(6,11),(7,12),(8,9),(8,10),(9,13),(10,13),(11,14),(13,14),(14,12)],15)
[[1,3,4,5,6,7],[2,8]] => [[1,3,4,5,6,7],[2,8]] => [2,8,1,3,4,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,19),(2,19),(3,19),(4,15),(5,14),(6,14),(6,17),(7,15),(7,18),(8,17),(8,18),(9,19),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,12),(16,13),(17,10),(17,16),(18,11),(18,16)],20)
[[1,2,4,5,6,7],[3,8]] => [[1,3,4,5,6,8],[2,7]] => [2,7,1,3,4,5,6,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,16),(4,10),(5,9),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(13,15),(14,15),(15,16),(16,12)],17)
[[1,2,3,5,6,7],[4,8]] => [[1,3,4,5,7,8],[2,6]] => [2,6,1,3,4,5,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,15),(4,10),(5,9),(6,11),(7,9),(7,10),(8,11),(8,12),(9,14),(10,14),(11,13),(12,13),(14,15),(15,12)],16)
[[1,2,3,4,5,6],[7,8]] => [[1,2,5,6,7,8],[3,4]] => [3,4,1,2,5,6,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,18),(2,18),(3,17),(4,17),(5,16),(6,15),(6,20),(7,16),(7,21),(8,20),(8,21),(10,15),(11,13),(12,14),(13,9),(14,9),(15,11),(16,12),(17,10),(18,10),(19,13),(19,14),(20,11),(20,19),(21,12),(21,19)],22)
[[1,3,4,5,7,8],[2],[6]] => [[1,2,3,5,6,7],[4],[8]] => [8,4,1,2,3,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,17),(4,16),(5,9),(6,17),(6,18),(7,14),(7,19),(8,16),(8,19),(10,15),(11,13),(12,13),(13,9),(14,11),(15,14),(16,12),(17,10),(18,10),(19,11),(19,12)],20)
[[1,2,3,5,7,8],[4],[6]] => [[1,2,3,5,7,8],[4],[6]] => [6,4,1,2,3,5,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,14),(4,17),(5,16),(6,15),(7,15),(7,16),(8,11),(8,17),(10,14),(11,9),(12,13),(13,11),(14,12),(15,10),(16,10),(17,9)],18)
[[1,3,4,5,6,8],[2],[7]] => [[1,2,4,5,6,7],[3],[8]] => [8,3,1,2,4,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,18),(3,18),(4,16),(5,9),(6,17),(6,21),(7,15),(7,20),(8,20),(8,21),(10,14),(11,14),(12,11),(13,10),(14,9),(15,13),(16,15),(17,12),(18,16),(19,10),(19,11),(20,13),(20,19),(21,12),(21,19)],22)
[[1,2,4,5,6,8],[3],[7]] => [[1,2,4,5,6,8],[3],[7]] => [7,3,1,2,4,5,6,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,16),(3,17),(4,17),(5,14),(6,9),(7,16),(7,18),(8,13),(8,18),(10,15),(11,10),(12,10),(13,12),(14,13),(15,9),(16,11),(17,14),(18,11),(18,12)],19)
[[1,2,4,5,6,7],[3],[8]] => [[1,3,4,5,6,8],[2],[7]] => [7,2,1,3,4,5,6,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,18),(3,18),(4,16),(5,9),(6,17),(6,21),(7,15),(7,20),(8,20),(8,21),(10,12),(11,12),(12,16),(13,11),(14,10),(15,14),(16,9),(17,13),(18,15),(19,10),(19,11),(20,14),(20,19),(21,13),(21,19)],22)
[[1,3,4,7,8],[2,5,6]] => [[1,2,3,4,7],[5,6,8]] => [5,6,8,1,2,3,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,10),(4,9),(5,12),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(12,16),(13,15),(14,15),(15,16)],17)
[[1,2,4,7,8],[3,5,6]] => [[1,2,3,4,6],[5,7,8]] => [5,7,8,1,2,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,10),(4,9),(5,12),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(12,16),(13,15),(14,15),(15,16)],17)
[[1,2,3,4,8],[5,6,7]] => [[1,2,3,4,8],[5,6,7]] => [5,6,7,1,2,3,4,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,18),(4,17),(5,9),(6,15),(6,16),(7,17),(7,19),(8,18),(8,19),(10,14),(11,14),(12,10),(13,10),(14,9),(15,11),(16,11),(17,12),(18,13),(19,12),(19,13)],20)
[[1,2,5,6,7],[3,4,8]] => [[1,3,4,5,6],[2,7,8]] => [2,7,8,1,3,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,10),(4,9),(5,12),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(12,16),(13,15),(14,15),(15,16)],17)
[[1,2,3,4,5],[6,7,8]] => [[1,2,3,7,8],[4,5,6]] => [4,5,6,1,2,3,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,17),(4,16),(5,18),(6,16),(6,17),(7,14),(7,15),(8,13),(8,18),(10,12),(11,12),(12,13),(13,9),(14,10),(15,10),(16,11),(17,11),(18,9)],19)
[[1,4,6,7,8],[2,5],[3]] => [[1,2,3,4,6],[5,7],[8]] => [8,5,7,1,2,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,16),(4,10),(5,9),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(13,15),(14,15),(15,16),(16,12)],17)
[[1,2,6,7,8],[3,5],[4]] => [[1,2,3,4,5],[6,8],[7]] => [7,6,8,1,2,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,17),(5,16),(6,16),(6,20),(7,17),(7,21),(8,20),(8,21),(10,14),(11,14),(12,10),(13,11),(14,9),(15,9),(16,12),(17,13),(18,15),(19,10),(19,11),(20,12),(20,19),(21,13),(21,19)],22)
[[1,3,6,7,8],[2,4],[5]] => [[1,2,3,4,7],[5,8],[6]] => [6,5,8,1,2,3,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,10),(4,9),(5,12),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(12,16),(13,15),(14,15),(15,16)],17)
[[1,2,6,7,8],[3,4],[5]] => [[1,2,3,4,6],[5,8],[7]] => [7,5,8,1,2,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,15),(4,15),(5,10),(6,9),(7,9),(7,11),(8,10),(8,11),(9,12),(10,13),(11,12),(11,13),(12,14),(13,14),(14,15)],16)
[[1,3,4,7,8],[2,6],[5]] => [[1,2,3,4,7],[5,6],[8]] => [8,5,6,1,2,3,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,17),(3,17),(4,16),(5,15),(6,9),(7,15),(7,18),(8,16),(8,18),(10,11),(11,14),(12,10),(13,10),(14,9),(15,12),(16,13),(17,11),(18,12),(18,13)],19)
[[1,2,4,7,8],[3,6],[5]] => [[1,2,3,4,8],[5,6],[7]] => [7,5,6,1,2,3,4,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,19),(3,19),(4,17),(5,16),(6,9),(7,16),(7,18),(8,17),(8,18),(10,11),(11,14),(12,10),(13,10),(14,9),(15,14),(16,12),(17,13),(18,12),(18,13),(19,11),(19,15)],20)
[[1,2,3,7,8],[4,6],[5]] => [[1,2,3,4,8],[5,7],[6]] => [6,5,7,1,2,3,4,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,17),(3,17),(4,16),(5,15),(6,9),(7,15),(7,18),(8,16),(8,18),(10,13),(11,10),(12,10),(13,9),(14,13),(15,11),(16,12),(17,14),(18,11),(18,12)],19)
[[1,4,5,6,8],[2,7],[3]] => [[1,2,4,5,6],[3,7],[8]] => [8,3,7,1,2,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,10),(4,9),(5,11),(6,11),(7,12),(8,9),(8,10),(9,13),(10,13),(11,14),(13,14),(14,12)],15)
[[1,3,4,6,8],[2,7],[5]] => [[1,2,4,6,7],[3,5],[8]] => [8,3,5,1,2,4,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,14),(3,14),(4,14),(5,9),(6,10),(7,10),(8,9),(8,11),(9,13),(10,14),(11,13),(13,12),(14,11)],15)
[[1,2,4,6,8],[3,7],[5]] => [[1,2,4,6,8],[3,5],[7]] => [7,3,5,1,2,4,6,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,11),(3,13),(4,13),(5,13),(6,9),(7,9),(8,10),(9,13),(10,11),(11,12),(13,10)],14)
[[1,2,3,6,8],[4,7],[5]] => [[1,2,4,7,8],[3,5],[6]] => [6,3,5,1,2,4,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,14),(4,9),(5,10),(6,10),(7,11),(8,9),(8,12),(9,13),(10,14),(11,12),(12,13),(14,11)],15)
[[1,2,3,4,5],[6,7],[8]] => [[1,3,6,7,8],[2,5],[4]] => [4,2,5,1,3,6,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,15),(4,15),(5,15),(6,9),(7,9),(7,10),(8,10),(8,11),(9,12),(10,12),(10,13),(11,13),(12,14),(13,14),(15,11)],16)
[[1,4,6,7,8],[2],[3],[5]] => [[1,2,3,4,6],[5],[7],[8]] => [8,7,5,1,2,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,16),(3,15),(4,18),(5,14),(6,13),(6,18),(7,16),(7,19),(8,17),(8,19),(10,14),(11,10),(12,10),(13,9),(14,15),(15,13),(16,11),(17,12),(18,9),(19,11),(19,12)],20)
[[1,3,6,7,8],[2],[4],[5]] => [[1,2,3,4,7],[5],[6],[8]] => [8,6,5,1,2,3,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,17),(4,16),(5,9),(6,14),(6,16),(7,17),(7,19),(8,18),(8,19),(10,14),(11,15),(12,10),(13,10),(14,11),(15,9),(16,11),(17,12),(18,13),(19,12),(19,13)],20)
[[1,2,6,7,8],[3],[4],[5]] => [[1,2,3,4,8],[5],[6],[7]] => [7,6,5,1,2,3,4,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,18),(2,17),(3,19),(4,9),(5,16),(5,21),(6,17),(6,20),(7,18),(7,20),(8,19),(8,21),(10,16),(11,15),(12,10),(13,10),(14,15),(15,9),(16,11),(17,12),(18,13),(19,14),(20,12),(20,13),(21,11),(21,14)],22)
[[1,4,5,7,8],[2],[3],[6]] => [[1,2,3,5,6],[4],[7],[8]] => [8,7,4,1,2,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,17),(4,18),(5,14),(6,15),(6,16),(7,13),(7,18),(8,12),(8,17),(10,14),(11,13),(12,11),(13,9),(14,12),(15,10),(16,10),(17,11),(18,9)],19)
[[1,3,5,7],[2,4,6,8]] => [[1,3,5,7],[2,4,6,8]] => [2,4,6,8,1,3,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,5,7],[3,4,6,8]] => [[1,3,5,6],[2,4,7,8]] => [2,4,7,8,1,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12)
[[1,3,4,7],[2,5,6,8]] => [[1,3,4,7],[2,5,6,8]] => [2,5,6,8,1,3,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12)
[[1,2,4,7],[3,5,6,8]] => [[1,3,4,6],[2,5,7,8]] => [2,5,7,8,1,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12)
[[1,2,3,7],[4,5,6,8]] => [[1,3,4,5],[2,6,7,8]] => [2,6,7,8,1,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,10),(4,9),(5,12),(6,11),(7,11),(7,12),(8,9),(8,10),(9,13),(10,13),(11,14),(12,14),(13,15),(14,15)],16)
[[1,3,5,6],[2,4,7,8]] => [[1,2,5,7],[3,4,6,8]] => [3,4,6,8,1,2,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12)
[[1,2,5,6],[3,4,7,8]] => [[1,2,5,6],[3,4,7,8]] => [3,4,7,8,1,2,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,13),(10,13),(11,13),(12,13)],14)
[[1,3,4,6],[2,5,7,8]] => [[1,2,4,7],[3,5,6,8]] => [3,5,6,8,1,2,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12)
[[1,2,4,6],[3,5,7,8]] => [[1,2,4,6],[3,5,7,8]] => [3,5,7,8,1,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12)
[[1,2,3,6],[4,5,7,8]] => [[1,2,4,5],[3,6,7,8]] => [3,6,7,8,1,2,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,10),(3,9),(4,12),(5,12),(6,11),(7,11),(8,9),(8,10),(9,13),(10,13),(11,14),(12,14),(13,14)],15)
[[1,3,4,5],[2,6,7,8]] => [[1,2,3,7],[4,5,6,8]] => [4,5,6,8,1,2,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,10),(4,9),(5,12),(6,11),(7,11),(7,12),(8,9),(8,10),(9,13),(10,13),(11,14),(12,14),(13,15),(14,15)],16)
[[1,2,4,5],[3,6,7,8]] => [[1,2,3,6],[4,5,7,8]] => [4,5,7,8,1,2,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,10),(3,9),(4,12),(5,12),(6,11),(7,11),(8,9),(8,10),(9,13),(10,13),(11,14),(12,14),(13,14)],15)
[[1,2,3,5],[4,6,7,8]] => [[1,2,3,5],[4,6,7,8]] => [4,6,7,8,1,2,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,10),(4,9),(5,12),(6,11),(7,11),(7,12),(8,9),(8,10),(9,13),(10,13),(11,14),(12,14),(13,15),(14,15)],16)
[[1,2,3,4],[5,6,7,8]] => [[1,2,3,4],[5,6,7,8]] => [5,6,7,8,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,16),(3,19),(4,18),(5,16),(5,20),(6,17),(6,20),(7,18),(7,21),(8,19),(8,21),(10,15),(11,15),(12,14),(13,14),(14,9),(15,9),(16,10),(17,11),(18,12),(19,13),(20,10),(20,11),(21,12),(21,13)],22)
[[1,3,6,8],[2,4,7],[5]] => [[1,2,4,7],[3,5,8],[6]] => [6,3,5,8,1,2,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11)
[[1,3,4,8],[2,6,7],[5]] => [[1,2,3,4],[5,6,7],[8]] => [8,5,6,7,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,18),(4,17),(5,14),(6,17),(6,18),(7,15),(7,20),(8,16),(8,20),(10,12),(11,12),(12,13),(13,9),(14,9),(15,10),(16,11),(17,19),(18,19),(19,13),(19,14),(20,10),(20,11)],21)
[[1,2,3,4],[5,7,8],[6]] => [[1,2,3,8],[4,6,7],[5]] => [5,4,6,7,1,2,3,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,17),(3,16),(4,15),(5,14),(6,9),(7,13),(7,14),(8,15),(8,16),(10,12),(11,12),(12,9),(13,10),(14,10),(15,11),(16,11),(17,13)],18)
[[1,2,5,6],[3,4,8],[7]] => [[1,2,5,6],[3,4,8],[7]] => [7,3,4,8,1,2,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,12),(10,12),(11,12)],13)
[[1,2,3,4],[5,6,8],[7]] => [[1,2,4,8],[3,6,7],[5]] => [5,3,6,7,1,2,4,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,10),(5,10),(6,9),(7,9),(8,11),(9,12),(10,12),(12,11)],13)
[[1,2,5,6],[3,4,7],[8]] => [[1,4,5,6],[2,7,8],[3]] => [3,2,7,8,1,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,10),(3,9),(4,12),(5,12),(6,11),(7,11),(8,9),(8,10),(9,13),(10,13),(11,14),(12,14),(13,14)],15)
[[1,2,3,4],[5,6,7],[8]] => [[1,3,4,8],[2,6,7],[5]] => [5,2,6,7,1,3,4,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,10),(5,10),(6,9),(7,9),(8,11),(9,12),(10,12),(12,11)],13)
[[1,2,7,8],[3,5],[4,6]] => [[1,2,3,5],[4,6],[7,8]] => [7,8,4,6,1,2,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,14),(4,10),(5,9),(6,11),(7,11),(8,9),(8,10),(9,13),(10,13),(11,12),(13,14),(14,12)],15)
[[1,2,7,8],[3,4],[5,6]] => [[1,2,3,4],[5,6],[7,8]] => [7,8,5,6,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,19),(2,19),(3,17),(4,17),(5,16),(6,15),(7,15),(7,18),(8,16),(8,18),(10,13),(11,10),(12,10),(13,9),(14,9),(15,11),(16,12),(17,14),(18,11),(18,12),(19,13),(19,14)],20)
[[1,4,6,8],[2,5],[3,7]] => [[1,2,4,6],[3,7],[5,8]] => [5,8,3,7,1,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11)
[[1,2,6,8],[3,4],[5,7]] => [[1,2,4,6],[3,5],[7,8]] => [7,8,3,5,1,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,13),(3,13),(4,9),(5,9),(6,10),(7,10),(8,11),(9,12),(10,13),(11,12),(13,11)],14)
[[1,2,5,8],[3,6],[4,7]] => [[1,2,5,8],[3,6],[4,7]] => [4,7,3,6,1,2,5,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[1,2,5,8],[3,4],[6,7]] => [[1,2,3,6],[4,5],[7,8]] => [7,8,4,5,1,2,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,9),(3,9),(4,10),(5,10),(6,12),(7,11),(8,11),(8,12),(9,15),(10,16),(11,14),(12,14),(13,16),(14,15),(15,13)],17)
[[1,4,5,7],[2,6],[3,8]] => [[1,3,5,6],[2,7],[4,8]] => [4,8,2,7,1,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11)
[[1,2,5,7],[3,4],[6,8]] => [[1,3,5,6],[2,4],[7,8]] => [7,8,2,4,1,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,14),(4,14),(5,9),(6,9),(7,10),(8,10),(8,11),(9,13),(10,12),(11,12),(12,13),(14,11)],15)
[[1,4,5,6],[2,7],[3,8]] => [[1,4,5,6],[2,7],[3,8]] => [3,8,2,7,1,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,12),(6,10),(7,9),(8,9),(8,10),(9,11),(10,11),(11,12)],13)
[[1,2,3,4],[5,7],[6,8]] => [[1,3,7,8],[2,4],[5,6]] => [5,6,2,4,1,3,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,14),(4,14),(5,9),(6,9),(7,10),(8,10),(8,11),(9,12),(10,13),(11,13),(12,11),(14,12)],15)
[[1,2,3,4],[5,6],[7,8]] => [[1,2,7,8],[3,4],[5,6]] => [5,6,3,4,1,2,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,16),(4,16),(5,14),(6,17),(7,17),(8,13),(8,14),(10,13),(11,10),(12,10),(13,9),(14,9),(15,12),(16,11),(17,11),(17,12)],18)
[[1,5,7,8],[2,6],[3],[4]] => [[1,2,3,5],[4,6],[7],[8]] => [8,7,4,6,1,2,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,15),(4,10),(5,9),(6,11),(7,9),(7,10),(8,11),(8,12),(9,14),(10,14),(11,13),(12,13),(14,15),(15,12)],16)
[[1,4,7,8],[2,6],[3],[5]] => [[1,2,3,4],[5,6],[7],[8]] => [8,7,5,6,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,21),(2,21),(3,17),(4,16),(5,18),(6,16),(6,20),(7,17),(7,20),(8,18),(8,19),(10,11),(11,14),(12,10),(13,10),(14,9),(15,9),(16,12),(17,13),(18,15),(19,14),(19,15),(20,12),(20,13),(21,11),(21,19)],22)
[[1,5,6,8],[2,7],[3],[4]] => [[1,2,4,5],[3,6],[7],[8]] => [8,7,3,6,1,2,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(8,12),(9,13),(10,14),(11,14),(12,13),(14,12)],15)
[[1,4,6,8],[2,7],[3],[5]] => [[1,2,4,6],[3,5],[7],[8]] => [8,7,3,5,1,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,14),(4,9),(5,10),(6,10),(7,11),(8,9),(8,12),(9,13),(10,14),(11,12),(12,13),(14,11)],15)
[[1,3,5,8],[2,7],[4],[6]] => [[1,2,3,7],[4,5],[6],[8]] => [8,6,4,5,1,2,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,16),(4,15),(5,17),(6,17),(7,9),(8,15),(8,16),(10,14),(11,12),(12,10),(13,10),(14,9),(15,11),(16,11),(17,12),(17,13)],18)
[[1,2,5,8],[3,4],[6],[7]] => [[1,2,5,6],[3,8],[4],[7]] => [7,4,3,8,1,2,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,12),(10,12),(11,12)],13)
[[1,5,6,7],[2,8],[3],[4]] => [[1,3,4,5],[2,6],[7],[8]] => [8,7,2,6,1,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,15),(4,10),(5,9),(6,11),(7,9),(7,10),(8,11),(8,12),(9,14),(10,14),(11,13),(12,13),(14,15),(15,12)],16)
[[1,4,5,7],[2,8],[3],[6]] => [[1,3,5,6],[2,4],[7],[8]] => [8,7,2,4,1,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,15),(4,15),(5,9),(6,10),(7,9),(7,12),(8,10),(8,11),(9,14),(10,13),(11,13),(12,14),(13,12),(15,11)],16)
[[1,2,3,4],[5,8],[6],[7]] => [[1,2,7,8],[3,6],[4],[5]] => [5,4,3,6,1,2,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,16),(4,13),(5,17),(6,17),(7,14),(7,15),(8,12),(8,16),(10,13),(11,12),(12,9),(13,11),(14,10),(15,10),(16,9),(17,11)],18)
[[1,3,6,7],[2,4],[5],[8]] => [[1,3,4,7],[2,8],[5],[6]] => [6,5,2,8,1,3,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12)
[[1,4,5,7],[2,6],[3],[8]] => [[1,3,5,6],[2,7],[4],[8]] => [8,4,2,7,1,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[1,2,5,7],[3,4],[6],[8]] => [[1,3,5,6],[2,8],[4],[7]] => [7,4,2,8,1,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11)
[[1,2,3,4],[5,7],[6],[8]] => [[1,3,7,8],[2,6],[4],[5]] => [5,4,2,6,1,3,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,13),(3,13),(4,13),(5,9),(6,10),(7,10),(8,9),(8,11),(9,12),(10,13),(11,12),(13,11)],14)
[[1,2,3,4],[5,6],[7],[8]] => [[1,4,7,8],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,13),(3,13),(4,13),(5,9),(6,10),(7,10),(8,9),(8,11),(9,12),(10,13),(11,12),(13,11)],14)
[[1,5,7,8],[2],[3],[4],[6]] => [[1,2,3,5],[4],[6],[7],[8]] => [8,7,6,4,1,2,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,16),(3,15),(4,18),(5,14),(6,16),(6,17),(7,18),(7,19),(8,13),(8,19),(10,14),(11,9),(12,9),(13,12),(14,15),(15,13),(16,10),(17,10),(18,11),(19,11),(19,12)],20)
[[1,5,6,8],[2],[3],[4],[7]] => [[1,2,4,5],[3],[6],[7],[8]] => [8,7,6,3,1,2,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,16),(5,17),(6,14),(6,17),(7,13),(7,19),(8,16),(8,19),(10,13),(11,9),(12,9),(13,11),(14,10),(15,14),(16,12),(17,10),(18,15),(19,11),(19,12)],20)
[[1,2,5,8],[3],[4],[6],[7]] => [[1,2,5,8],[3],[4],[6],[7]] => [7,6,4,3,1,2,5,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,17),(3,17),(4,15),(5,16),(6,9),(7,13),(7,15),(8,12),(8,16),(10,14),(11,9),(12,11),(13,10),(14,12),(15,10),(16,11),(17,13)],18)
[[1,5,6,7],[2],[3],[4],[8]] => [[1,3,4,5],[2],[6],[7],[8]] => [8,7,6,2,1,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,19),(2,19),(3,17),(4,18),(5,16),(5,20),(6,15),(6,21),(7,18),(7,20),(8,17),(8,21),(10,15),(11,10),(12,10),(13,9),(14,9),(15,13),(16,11),(17,14),(18,12),(19,16),(20,11),(20,12),(21,13),(21,14)],22)
[[1,4,6,7],[2],[3],[5],[8]] => [[1,3,4,6],[2],[5],[7],[8]] => [8,7,5,2,1,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,16),(4,15),(5,17),(6,17),(7,12),(7,16),(8,11),(8,15),(10,14),(11,10),(12,9),(13,12),(14,13),(15,10),(16,9),(17,11)],18)
[[1,3,5,7],[2],[4],[6],[8]] => [[1,3,5,7],[2],[4],[6],[8]] => [8,6,4,2,1,3,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,11),(4,12),(5,13),(6,14),(7,15),(8,10),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16)
[[1,4,5,6],[2],[3],[7],[8]] => [[1,4,5,6],[2],[3],[7],[8]] => [8,7,3,2,1,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,19),(2,18),(3,17),(4,16),(5,15),(5,19),(6,17),(6,18),(7,14),(7,20),(8,16),(8,20),(10,15),(11,14),(12,10),(13,10),(14,12),(15,9),(16,13),(17,11),(18,11),(19,9),(20,12),(20,13)],21)
[[1,2,7],[3,5,8],[4,6]] => [[1,3,5],[2,4,6],[7,8]] => [7,8,2,4,6,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,9),(8,9),(9,10),(11,10)],12)
[[1,3,7],[2,4,8],[5,6]] => [[1,3,4],[2,5,7],[6,8]] => [6,8,2,5,7,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11)
[[1,2,5],[3,6,8],[4,7]] => [[1,2,5],[3,6,8],[4,7]] => [4,7,3,6,8,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11)
[[1,2,5],[3,4,8],[6,7]] => [[1,2,3],[4,5,6],[7,8]] => [7,8,4,5,6,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,13),(3,16),(4,15),(5,17),(6,17),(7,13),(7,14),(8,15),(8,16),(10,11),(11,9),(12,9),(13,10),(14,10),(15,18),(16,18),(17,12),(18,11),(18,12)],19)
[[1,3,4],[2,5,7],[6,8]] => [[1,3,7],[2,4,8],[5,6]] => [5,6,2,4,8,1,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11)
[[1,2,4],[3,5,7],[6,8]] => [[1,3,6],[2,4,8],[5,7]] => [5,7,2,4,8,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2,3],[4,5,6],[7,8]] => [[1,2,5],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,12),(10,12),(11,12)],13)
[[1,5,7],[2,6,8],[3],[4]] => [[1,3,5],[2,4,6],[7],[8]] => [8,7,2,4,6,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,9),(8,9),(8,10),(9,11),(10,11),(12,10)],13)
[[1,3,7],[2,4,8],[5],[6]] => [[1,3,7],[2,4,8],[5],[6]] => [6,5,2,4,8,1,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11)
[[1,5,6],[2,7,8],[3],[4]] => [[1,2,5],[3,4,6],[7],[8]] => [8,7,3,4,6,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(8,12),(9,13),(10,14),(11,14),(12,13),(14,12)],15)
[[1,4,5],[2,7,8],[3],[6]] => [[1,2,3],[4,5,6],[7],[8]] => [8,7,4,5,6,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,14),(4,18),(5,17),(6,15),(6,16),(7,17),(7,18),(8,14),(8,20),(10,11),(11,13),(12,9),(13,9),(14,12),(15,10),(16,10),(17,19),(18,19),(19,11),(19,20),(20,12),(20,13)],21)
[[1,3,5],[2,4,8],[6],[7]] => [[1,2,7],[3,5,8],[4],[6]] => [6,4,3,5,8,1,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,11),(3,13),(4,13),(5,9),(6,9),(7,10),(8,10),(9,11),(10,13),(11,12),(12,13)],14)
[[1,2,4],[3,5,7],[6],[8]] => [[1,3,6],[2,7,8],[4],[5]] => [5,4,2,7,8,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12)
[[1,3,5],[2,4,6],[7],[8]] => [[1,5,7],[2,6,8],[3],[4]] => [4,3,2,6,8,1,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,12),(6,10),(7,9),(8,9),(8,10),(9,11),(10,11),(11,12)],13)
[[1,2,3],[4,5,6],[7],[8]] => [[1,4,5],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,12),(10,12),(11,12)],13)
[[1,5,8],[2,6],[3,7],[4]] => [[1,2,5],[3,6],[4,7],[8]] => [8,4,7,3,6,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[1,3,8],[2,5],[4,7],[6]] => [[1,2,3],[4,5],[6,7],[8]] => [8,6,7,4,5,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,16),(3,15),(4,18),(5,18),(6,19),(7,19),(8,15),(8,16),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,10),(17,12),(17,13),(18,11),(18,17),(19,14),(19,17)],20)
[[1,5,7],[2,6],[3,8],[4]] => [[1,3,5],[2,6],[4,7],[8]] => [8,4,7,2,6,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(10,9)],11)
[[1,4,7],[2,6],[3,8],[5]] => [[1,3,4],[2,6],[5,7],[8]] => [8,5,7,2,6,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[1,3,7],[2,6],[4,8],[5]] => [[1,3,4],[2,5],[6,7],[8]] => [8,6,7,2,5,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,14),(3,14),(4,14),(5,9),(6,9),(7,10),(8,10),(9,11),(9,12),(10,14),(11,13),(12,13),(14,12)],15)
[[1,2,7],[3,4],[5,8],[6]] => [[1,3,6],[2,4],[5,8],[7]] => [7,5,8,2,4,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,9),(6,9),(7,9),(8,9),(9,10)],11)
[[1,5,6],[2,7],[3,8],[4]] => [[1,4,5],[2,6],[3,7],[8]] => [8,3,7,2,6,1,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[1,3,4],[2,6],[5,8],[7]] => [[1,2,7],[3,4],[5,6],[8]] => [8,5,6,3,4,1,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,10),(4,10),(5,9),(6,9),(7,11),(8,11),(9,15),(10,14),(11,14),(11,15),(12,13),(14,16),(15,16),(16,12)],17)
[[1,2,7],[3,4],[5,6],[8]] => [[1,3,4],[2,6],[5,8],[7]] => [7,5,8,2,6,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11)
[[1,2,3],[4,5],[6,7],[8]] => [[1,3,8],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(10,9)],11)
[[1,5,8],[2,6],[3],[4],[7]] => [[1,2,5],[3,6],[4],[7],[8]] => [8,7,4,3,6,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(8,12),(9,13),(10,14),(11,14),(12,13),(14,12)],15)
[[1,5,7],[2,8],[3],[4],[6]] => [[1,3,5],[2,4],[6],[7],[8]] => [8,7,6,2,4,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,16),(4,16),(5,10),(6,11),(7,9),(7,12),(8,9),(8,10),(9,13),(9,15),(10,13),(11,12),(12,15),(13,14),(15,14),(16,11)],17)
[[1,5,6],[2,8],[3],[4],[7]] => [[1,2,5],[3,4],[6],[7],[8]] => [8,7,6,3,4,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,17),(3,17),(4,16),(5,16),(6,14),(7,15),(7,18),(8,13),(8,18),(10,14),(11,9),(12,9),(13,12),(14,13),(15,11),(16,10),(17,10),(18,11),(18,12)],19)
[[1,5,7],[2,6],[3],[4],[8]] => [[1,3,5],[2,6],[4],[7],[8]] => [8,7,4,2,6,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,9),(8,9),(8,10),(9,11),(10,11),(12,10)],13)
[[1,4,7],[2,6],[3],[5],[8]] => [[1,3,4],[2,6],[5],[7],[8]] => [8,7,5,2,6,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,13),(3,13),(4,13),(5,9),(6,10),(7,10),(8,9),(8,11),(9,12),(10,13),(11,12),(13,11)],14)
[[1,3,4],[2,5],[6],[7],[8]] => [[1,6,7],[2,8],[3],[4],[5]] => [5,4,3,2,8,1,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,10),(4,9),(5,12),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(12,16),(13,15),(14,15),(15,16)],17)
[[1,2,3],[4,5],[6],[7],[8]] => [[1,5,8],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,13),(3,13),(4,13),(5,10),(6,9),(7,11),(8,9),(8,10),(9,12),(10,12),(12,13),(13,11)],14)
[[1,6,8],[2],[3],[4],[5],[7]] => [[1,2,4],[3],[5],[6],[7],[8]] => [8,7,6,5,3,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,17),(3,18),(4,18),(5,15),(6,17),(6,20),(7,14),(7,21),(8,20),(8,21),(10,12),(11,13),(12,9),(13,9),(14,11),(15,16),(16,14),(17,10),(18,15),(19,12),(19,13),(20,10),(20,19),(21,11),(21,19)],22)
[[1,5,8],[2],[3],[4],[6],[7]] => [[1,2,5],[3],[4],[6],[7],[8]] => [8,7,6,4,3,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,16),(5,17),(6,14),(6,17),(7,13),(7,19),(8,16),(8,19),(10,15),(11,9),(12,9),(13,11),(14,10),(15,13),(16,12),(17,10),(18,14),(19,11),(19,12)],20)
[[1,3,8],[2],[4],[5],[6],[7]] => [[1,2,7],[3],[4],[5],[6],[8]] => [8,6,5,4,3,1,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,18),(3,18),(4,16),(5,9),(6,17),(6,21),(7,15),(7,20),(8,20),(8,21),(10,12),(11,12),(12,16),(13,11),(14,10),(15,14),(16,9),(17,13),(18,15),(19,10),(19,11),(20,14),(20,19),(21,13),(21,19)],22)
[[1,5,7],[2],[3],[4],[6],[8]] => [[1,3,5],[2],[4],[6],[7],[8]] => [8,7,6,4,2,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,15),(4,16),(5,17),(6,17),(7,16),(7,18),(8,12),(8,18),(10,9),(11,9),(12,11),(13,14),(14,12),(15,13),(16,10),(17,15),(18,10),(18,11)],19)
[[1,3,7],[2],[4],[5],[6],[8]] => [[1,3,7],[2],[4],[5],[6],[8]] => [8,6,5,4,2,1,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,16),(3,17),(4,17),(5,14),(6,9),(7,16),(7,18),(8,13),(8,18),(10,15),(11,10),(12,10),(13,12),(14,13),(15,9),(16,11),(17,14),(18,11),(18,12)],19)
[[1,2,7],[3],[4],[5],[6],[8]] => [[1,3,8],[2],[4],[5],[6],[7]] => [7,6,5,4,2,1,3,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,18),(3,18),(4,16),(5,9),(6,17),(6,21),(7,15),(7,20),(8,20),(8,21),(10,14),(11,14),(12,11),(13,10),(14,9),(15,13),(16,15),(17,12),(18,16),(19,10),(19,11),(20,13),(20,19),(21,12),(21,19)],22)
[[1,5,6],[2],[3],[4],[7],[8]] => [[1,4,5],[2],[3],[6],[7],[8]] => [8,7,6,3,2,1,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,17),(3,19),(4,18),(5,14),(5,16),(6,18),(6,19),(7,15),(7,20),(8,17),(8,20),(10,15),(11,14),(12,9),(13,9),(14,10),(15,12),(16,10),(17,13),(18,11),(19,11),(20,12),(20,13)],21)
[[1,3,5],[2],[4],[6],[7],[8]] => [[1,5,7],[2],[3],[4],[6],[8]] => [8,6,4,3,2,1,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,15),(4,17),(5,16),(6,9),(7,16),(7,18),(8,17),(8,18),(10,13),(11,10),(12,10),(13,14),(14,15),(15,9),(16,11),(17,12),(18,11),(18,12)],19)
[[1,5],[2,6],[3,7],[4,8]] => [[1,5],[2,6],[3,7],[4,8]] => [4,8,3,7,2,6,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,3],[2,6],[4,7],[5,8]] => [[1,4],[2,5],[3,7],[6,8]] => [6,8,3,7,2,5,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,2],[3,4],[5,6],[7,8]] => [[1,2],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,15),(4,15),(5,17),(6,17),(7,18),(8,18),(10,13),(11,12),(12,9),(13,9),(14,11),(15,10),(16,12),(16,13),(17,11),(17,16),(18,10),(18,16)],19)
[[1,4],[2,7],[3,8],[5],[6]] => [[1,3],[2,4],[5,6],[7],[8]] => [8,7,5,6,2,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(2,12),(3,9),(4,9),(5,16),(6,16),(7,16),(8,16),(9,11),(9,12),(10,14),(11,15),(12,14),(12,15),(14,13),(15,13),(16,11)],17)
[[1,4],[2,6],[3,8],[5],[7]] => [[1,2],[3,4],[5,6],[7],[8]] => [8,7,5,6,3,4,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,20),(2,20),(3,21),(4,21),(5,16),(6,16),(7,15),(8,15),(8,19),(10,12),(11,13),(12,14),(13,9),(14,9),(15,11),(16,10),(17,12),(17,18),(18,13),(18,14),(19,11),(19,18),(20,10),(20,17),(21,17),(21,19)],22)
[[1,4],[2,5],[3,8],[6],[7]] => [[1,2],[3,6],[4,7],[5],[8]] => [8,5,4,7,3,6,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,14),(4,9),(5,9),(6,10),(7,10),(8,11),(9,12),(10,14),(11,13),(12,13),(14,11),(14,12)],15)
[[1,4],[2,6],[3,7],[5],[8]] => [[1,4],[2,6],[3,7],[5],[8]] => [8,5,3,7,2,6,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(10,9)],11)
[[1,4],[2,5],[3,7],[6],[8]] => [[1,3],[2,6],[4,7],[5],[8]] => [8,5,4,7,2,6,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[1,3],[2,4],[5,6],[7],[8]] => [[1,4],[2,7],[3,8],[5],[6]] => [6,5,3,8,2,7,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11)
[[1,2],[3,4],[5,6],[7],[8]] => [[1,4],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[1,7],[2,8],[3],[4],[5],[6]] => [[1,3],[2,4],[5],[6],[7],[8]] => [8,7,6,5,2,4,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,19),(2,19),(3,19),(4,19),(5,14),(6,14),(6,17),(7,15),(7,18),(8,17),(8,18),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,12),(16,13),(17,10),(17,16),(18,11),(18,16),(19,15)],20)
[[1,4],[2,7],[3],[5],[6],[8]] => [[1,3],[2,6],[4],[5],[7],[8]] => [8,7,5,4,2,6,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,13),(3,13),(4,13),(5,9),(6,10),(7,10),(8,9),(8,11),(9,12),(10,13),(11,12),(13,11)],14)
[[1,4],[2,5],[3],[6],[7],[8]] => [[1,6],[2,7],[3],[4],[5],[8]] => [8,5,4,3,2,7,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,16),(4,10),(5,9),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(13,15),(14,15),(15,16),(16,12)],17)
[[1,3],[2,4],[5],[6],[7],[8]] => [[1,7],[2,8],[3],[4],[5],[6]] => [6,5,4,3,2,8,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,19),(2,19),(3,19),(4,15),(5,14),(6,14),(6,17),(7,15),(7,18),(8,17),(8,18),(9,19),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,12),(16,13),(17,10),(17,16),(18,11),(18,16)],20)
[[1,2],[3,4],[5],[6],[7],[8]] => [[1,6],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,15),(4,15),(5,10),(6,9),(7,9),(7,11),(8,10),(8,11),(9,12),(10,13),(11,12),(11,13),(12,14),(13,14),(14,15)],16)
[[1,5],[2],[3],[4],[6],[7],[8]] => [[1,5],[2],[3],[4],[6],[7],[8]] => [8,7,6,4,3,2,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,18),(3,17),(4,19),(5,15),(5,21),(6,17),(6,20),(7,18),(7,20),(8,19),(8,21),(10,16),(11,10),(12,10),(13,9),(14,9),(15,13),(16,15),(17,11),(18,12),(19,14),(20,11),(20,12),(21,13),(21,14)],22)
[[1,3,5,7,9],[2,4,6,8,10]] => [[1,3,5,7,9],[2,4,6,8,10]] => [2,4,6,8,10,1,3,5,7,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[[1,3,5,7,8],[2,4,6,9,10]] => [[1,2,5,7,9],[3,4,6,8,10]] => [3,4,6,8,10,1,2,5,7,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,13),(2,13),(3,13),(4,13),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(11,13),(12,13)],14)
[[1,3,5,6,9],[2,4,7,8,10]] => [[1,3,4,7,9],[2,5,6,8,10]] => [2,5,6,8,10,1,3,4,7,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,13),(2,13),(3,13),(4,13),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(11,13),(12,13)],14)
[[1,3,5,6,8],[2,4,7,9,10]] => [[1,2,4,7,9],[3,5,6,8,10]] => [3,5,6,8,10,1,2,4,7,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,13),(2,13),(3,13),(4,13),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(11,13),(12,13)],14)
[[1,3,5,6,7],[2,4,8,9,10]] => [[1,2,3,7,9],[4,5,6,8,10]] => [4,5,6,8,10,1,2,3,7,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,17),(2,17),(3,17),(4,17),(5,12),(6,11),(7,14),(8,13),(9,13),(9,14),(10,11),(10,12),(11,15),(12,15),(13,16),(14,16),(15,17),(16,17)],18)
[[1,3,4,7,9],[2,5,6,8,10]] => [[1,3,5,6,9],[2,4,7,8,10]] => [2,4,7,8,10,1,3,5,6,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,13),(2,13),(3,13),(4,13),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(11,13),(12,13)],14)
[[1,3,4,7,8],[2,5,6,9,10]] => [[1,2,5,6,9],[3,4,7,8,10]] => [3,4,7,8,10,1,2,5,6,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,15),(2,15),(3,14),(4,14),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(11,15),(12,15),(13,15),(14,15)],16)
[[1,3,4,6,9],[2,5,7,8,10]] => [[1,3,4,6,9],[2,5,7,8,10]] => [2,5,7,8,10,1,3,4,6,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,13),(2,13),(3,13),(4,13),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(11,13),(12,13)],14)
[[1,3,4,6,8],[2,5,7,9,10]] => [[1,2,4,6,9],[3,5,7,8,10]] => [3,5,7,8,10,1,2,4,6,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,13),(2,13),(3,13),(4,13),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(11,13),(12,13)],14)
[[1,3,4,6,7],[2,5,8,9,10]] => [[1,2,3,6,9],[4,5,7,8,10]] => [4,5,7,8,10,1,2,3,6,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,16),(2,16),(3,16),(4,12),(5,11),(6,14),(7,14),(8,13),(9,13),(10,11),(10,12),(11,15),(12,15),(13,16),(14,16),(15,16)],17)
[[1,3,4,5,9],[2,6,7,8,10]] => [[1,3,4,5,9],[2,6,7,8,10]] => [2,6,7,8,10,1,3,4,5,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,17),(2,17),(3,17),(4,17),(5,12),(6,11),(7,14),(8,13),(9,13),(9,14),(10,11),(10,12),(11,15),(12,15),(13,16),(14,16),(15,17),(16,17)],18)
[[1,3,4,5,8],[2,6,7,9,10]] => [[1,2,4,5,9],[3,6,7,8,10]] => [3,6,7,8,10,1,2,4,5,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,16),(2,16),(3,16),(4,12),(5,11),(6,14),(7,14),(8,13),(9,13),(10,11),(10,12),(11,15),(12,15),(13,16),(14,16),(15,16)],17)
[[1,3,4,5,7],[2,6,8,9,10]] => [[1,2,3,5,9],[4,6,7,8,10]] => [4,6,7,8,10,1,2,3,5,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,17),(2,17),(3,17),(4,17),(5,12),(6,11),(7,14),(8,13),(9,13),(9,14),(10,11),(10,12),(11,15),(12,15),(13,16),(14,16),(15,17),(16,17)],18)
[[1,2,5,7,9],[3,4,6,8,10]] => [[1,3,5,7,8],[2,4,6,9,10]] => [2,4,6,9,10,1,3,5,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,13),(2,13),(3,13),(4,13),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(11,13),(12,13)],14)
[[1,2,5,7,8],[3,4,6,9,10]] => [[1,2,5,7,8],[3,4,6,9,10]] => [3,4,6,9,10,1,2,5,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,15),(2,15),(3,14),(4,14),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(11,15),(12,15),(13,15),(14,15)],16)
[[1,2,5,6,9],[3,4,7,8,10]] => [[1,3,4,7,8],[2,5,6,9,10]] => [2,5,6,9,10,1,3,4,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,15),(2,15),(3,14),(4,14),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(11,15),(12,15),(13,15),(14,15)],16)
[[1,2,5,6,8],[3,4,7,9,10]] => [[1,2,4,7,8],[3,5,6,9,10]] => [3,5,6,9,10,1,2,4,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,15),(2,15),(3,14),(4,14),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(11,15),(12,15),(13,15),(14,15)],16)
[[1,2,5,6,7],[3,4,8,9,10]] => [[1,2,3,7,8],[4,5,6,9,10]] => [4,5,6,9,10,1,2,3,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,12),(2,11),(3,14),(4,13),(5,16),(6,16),(7,15),(8,15),(9,13),(9,14),(10,11),(10,12),(11,17),(12,17),(13,18),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
[[1,2,4,7,9],[3,5,6,8,10]] => [[1,3,5,6,8],[2,4,7,9,10]] => [2,4,7,9,10,1,3,5,6,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,13),(2,13),(3,13),(4,13),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(11,13),(12,13)],14)
[[1,2,4,7,8],[3,5,6,9,10]] => [[1,2,5,6,8],[3,4,7,9,10]] => [3,4,7,9,10,1,2,5,6,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,15),(2,15),(3,14),(4,14),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(11,15),(12,15),(13,15),(14,15)],16)
[[1,2,4,6,9],[3,5,7,8,10]] => [[1,3,4,6,8],[2,5,7,9,10]] => [2,5,7,9,10,1,3,4,6,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,13),(2,13),(3,13),(4,13),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(11,13),(12,13)],14)
[[1,2,4,6,8],[3,5,7,9,10]] => [[1,2,4,6,8],[3,5,7,9,10]] => [3,5,7,9,10,1,2,4,6,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,13),(2,13),(3,13),(4,13),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(11,13),(12,13)],14)
[[1,2,4,6,7],[3,5,8,9,10]] => [[1,2,3,6,8],[4,5,7,9,10]] => [4,5,7,9,10,1,2,3,6,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,16),(2,16),(3,16),(4,12),(5,11),(6,14),(7,14),(8,13),(9,13),(10,11),(10,12),(11,15),(12,15),(13,16),(14,16),(15,16)],17)
[[1,2,4,5,9],[3,6,7,8,10]] => [[1,3,4,5,8],[2,6,7,9,10]] => [2,6,7,9,10,1,3,4,5,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,16),(2,16),(3,16),(4,12),(5,11),(6,14),(7,14),(8,13),(9,13),(10,11),(10,12),(11,15),(12,15),(13,16),(14,16),(15,16)],17)
[[1,2,4,5,8],[3,6,7,9,10]] => [[1,2,4,5,8],[3,6,7,9,10]] => [3,6,7,9,10,1,2,4,5,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,15),(2,15),(3,14),(4,14),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(11,15),(12,15),(13,15),(14,15)],16)
[[1,2,4,5,7],[3,6,8,9,10]] => [[1,2,3,5,8],[4,6,7,9,10]] => [4,6,7,9,10,1,2,3,5,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,16),(2,16),(3,16),(4,12),(5,11),(6,14),(7,14),(8,13),(9,13),(10,11),(10,12),(11,15),(12,15),(13,16),(14,16),(15,16)],17)
[[1,2,4,5,6],[3,7,8,9,10]] => [[1,2,3,4,8],[5,6,7,9,10]] => [5,6,7,9,10,1,2,3,4,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,21),(2,12),(3,11),(4,14),(5,13),(6,16),(7,16),(8,11),(8,12),(9,13),(9,15),(10,14),(10,15),(11,19),(12,19),(13,17),(14,18),(15,17),(15,18),(16,21),(17,20),(18,20),(19,21),(20,21)],22)
[[1,2,3,7,9],[4,5,6,8,10]] => [[1,3,5,6,7],[2,4,8,9,10]] => [2,4,8,9,10,1,3,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,17),(2,17),(3,17),(4,17),(5,12),(6,11),(7,14),(8,13),(9,13),(9,14),(10,11),(10,12),(11,15),(12,15),(13,16),(14,16),(15,17),(16,17)],18)
[[1,2,3,7,8],[4,5,6,9,10]] => [[1,2,5,6,7],[3,4,8,9,10]] => [3,4,8,9,10,1,2,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,12),(2,11),(3,14),(4,13),(5,16),(6,16),(7,15),(8,15),(9,13),(9,14),(10,11),(10,12),(11,17),(12,17),(13,18),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
[[1,2,3,6,9],[4,5,7,8,10]] => [[1,3,4,6,7],[2,5,8,9,10]] => [2,5,8,9,10,1,3,4,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,16),(2,16),(3,16),(4,12),(5,11),(6,14),(7,14),(8,13),(9,13),(10,11),(10,12),(11,15),(12,15),(13,16),(14,16),(15,16)],17)
[[1,2,3,6,8],[4,5,7,9,10]] => [[1,2,4,6,7],[3,5,8,9,10]] => [3,5,8,9,10,1,2,4,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,16),(2,16),(3,16),(4,12),(5,11),(6,14),(7,14),(8,13),(9,13),(10,11),(10,12),(11,15),(12,15),(13,16),(14,16),(15,16)],17)
[[1,2,3,6,7],[4,5,8,9,10]] => [[1,2,3,6,7],[4,5,8,9,10]] => [4,5,8,9,10,1,2,3,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,12),(2,11),(3,14),(4,13),(5,16),(6,16),(7,15),(8,15),(9,13),(9,14),(10,11),(10,12),(11,17),(12,17),(13,18),(14,18),(15,19),(16,19),(17,19),(18,19)],20)
[[1,2,3,5,9],[4,6,7,8,10]] => [[1,3,4,5,7],[2,6,8,9,10]] => [2,6,8,9,10,1,3,4,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,17),(2,17),(3,17),(4,17),(5,12),(6,11),(7,14),(8,13),(9,13),(9,14),(10,11),(10,12),(11,15),(12,15),(13,16),(14,16),(15,17),(16,17)],18)
[[1,2,3,5,8],[4,6,7,9,10]] => [[1,2,4,5,7],[3,6,8,9,10]] => [3,6,8,9,10,1,2,4,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,16),(2,16),(3,16),(4,12),(5,11),(6,14),(7,14),(8,13),(9,13),(10,11),(10,12),(11,15),(12,15),(13,16),(14,16),(15,16)],17)
[[1,2,3,5,7],[4,6,8,9,10]] => [[1,2,3,5,7],[4,6,8,9,10]] => [4,6,8,9,10,1,2,3,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,17),(2,17),(3,17),(4,17),(5,12),(6,11),(7,14),(8,13),(9,13),(9,14),(10,11),(10,12),(11,15),(12,15),(13,16),(14,16),(15,17),(16,17)],18)
[[1,2,3,5,6],[4,7,8,9,10]] => [[1,2,3,4,7],[5,6,8,9,10]] => [5,6,8,9,10,1,2,3,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,21),(2,12),(3,11),(4,14),(5,13),(6,16),(7,16),(8,11),(8,12),(9,13),(9,15),(10,14),(10,15),(11,19),(12,19),(13,17),(14,18),(15,17),(15,18),(16,21),(17,20),(18,20),(19,21),(20,21)],22)
[[1,2,3,4,8],[5,6,7,9,10]] => [[1,2,4,5,6],[3,7,8,9,10]] => [3,7,8,9,10,1,2,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,21),(2,12),(3,11),(4,14),(5,13),(6,16),(7,16),(8,11),(8,12),(9,13),(9,15),(10,14),(10,15),(11,19),(12,19),(13,17),(14,18),(15,17),(15,18),(16,21),(17,20),(18,20),(19,21),(20,21)],22)
[[1,2,3,4,7],[5,6,8,9,10]] => [[1,2,3,5,6],[4,7,8,9,10]] => [4,7,8,9,10,1,2,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,21),(2,12),(3,11),(4,14),(5,13),(6,16),(7,16),(8,11),(8,12),(9,13),(9,15),(10,14),(10,15),(11,19),(12,19),(13,17),(14,18),(15,17),(15,18),(16,21),(17,20),(18,20),(19,21),(20,21)],22)
[[1,3,5,7,9,11],[2,4,6,8,10,12]] => [[1,3,5,7,9,11],[2,4,6,8,10,12]] => [2,4,6,8,10,12,1,3,5,7,9,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,13),(2,13),(3,13),(4,13),(5,13),(6,13),(7,13),(8,13),(9,13),(10,13),(11,13),(12,13)],14)
[[1,3,5,7,9,10],[2,4,6,8,11,12]] => [[1,2,5,7,9,11],[3,4,6,8,10,12]] => [3,4,6,8,10,12,1,2,5,7,9,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,15),(2,15),(3,15),(4,15),(5,15),(6,15),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,15),(14,15)],16)
[[1,3,5,7,8,11],[2,4,6,9,10,12]] => [[1,3,4,7,9,11],[2,5,6,8,10,12]] => [2,5,6,8,10,12,1,3,4,7,9,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,15),(2,15),(3,15),(4,15),(5,15),(6,15),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,15),(14,15)],16)
[[1,3,5,7,8,10],[2,4,6,9,11,12]] => [[1,2,4,7,9,11],[3,5,6,8,10,12]] => [3,5,6,8,10,12,1,2,4,7,9,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,15),(2,15),(3,15),(4,15),(5,15),(6,15),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,15),(14,15)],16)
[[1,3,5,7,8,9],[2,4,6,10,11,12]] => [[1,2,3,7,9,11],[4,5,6,8,10,12]] => [4,5,6,8,10,12,1,2,3,7,9,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,19),(2,19),(3,19),(4,19),(5,19),(6,19),(7,14),(8,13),(9,16),(10,15),(11,15),(11,16),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,19),(18,19)],20)
[[1,3,5,6,9,11],[2,4,7,8,10,12]] => [[1,3,5,6,9,11],[2,4,7,8,10,12]] => [2,4,7,8,10,12,1,3,5,6,9,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,15),(2,15),(3,15),(4,15),(5,15),(6,15),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,15),(14,15)],16)
[[1,3,5,6,9,10],[2,4,7,8,11,12]] => [[1,2,5,6,9,11],[3,4,7,8,10,12]] => [3,4,7,8,10,12,1,2,5,6,9,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,3,5,6,8,11],[2,4,7,9,10,12]] => [[1,3,4,6,9,11],[2,5,7,8,10,12]] => [2,5,7,8,10,12,1,3,4,6,9,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,15),(2,15),(3,15),(4,15),(5,15),(6,15),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,15),(14,15)],16)
[[1,3,5,6,8,10],[2,4,7,9,11,12]] => [[1,2,4,6,9,11],[3,5,7,8,10,12]] => [3,5,7,8,10,12,1,2,4,6,9,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,15),(2,15),(3,15),(4,15),(5,15),(6,15),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,15),(14,15)],16)
[[1,3,5,6,8,9],[2,4,7,10,11,12]] => [[1,2,3,6,9,11],[4,5,7,8,10,12]] => [4,5,7,8,10,12,1,2,3,6,9,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,3,5,6,7,11],[2,4,8,9,10,12]] => [[1,3,4,5,9,11],[2,6,7,8,10,12]] => [2,6,7,8,10,12,1,3,4,5,9,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,19),(2,19),(3,19),(4,19),(5,19),(6,19),(7,14),(8,13),(9,16),(10,15),(11,15),(11,16),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,19),(18,19)],20)
[[1,3,5,6,7,10],[2,4,8,9,11,12]] => [[1,2,4,5,9,11],[3,6,7,8,10,12]] => [3,6,7,8,10,12,1,2,4,5,9,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,3,5,6,7,9],[2,4,8,10,11,12]] => [[1,2,3,5,9,11],[4,6,7,8,10,12]] => [4,6,7,8,10,12,1,2,3,5,9,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,19),(2,19),(3,19),(4,19),(5,19),(6,19),(7,14),(8,13),(9,16),(10,15),(11,15),(11,16),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,19),(18,19)],20)
[[1,3,4,7,9,11],[2,5,6,8,10,12]] => [[1,3,5,7,8,11],[2,4,6,9,10,12]] => [2,4,6,9,10,12,1,3,5,7,8,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,15),(2,15),(3,15),(4,15),(5,15),(6,15),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,15),(14,15)],16)
[[1,3,4,7,9,10],[2,5,6,8,11,12]] => [[1,2,5,7,8,11],[3,4,6,9,10,12]] => [3,4,6,9,10,12,1,2,5,7,8,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,3,4,7,8,11],[2,5,6,9,10,12]] => [[1,3,4,7,8,11],[2,5,6,9,10,12]] => [2,5,6,9,10,12,1,3,4,7,8,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,3,4,7,8,10],[2,5,6,9,11,12]] => [[1,2,4,7,8,11],[3,5,6,9,10,12]] => [3,5,6,9,10,12,1,2,4,7,8,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,3,4,7,8,9],[2,5,6,10,11,12]] => [[1,2,3,7,8,11],[4,5,6,9,10,12]] => [4,5,6,9,10,12,1,2,3,7,8,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,21),(2,21),(3,14),(4,13),(5,16),(6,15),(7,18),(8,18),(9,17),(10,17),(11,15),(11,16),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,21),(18,21),(19,21),(20,21)],22)
[[1,3,4,6,9,11],[2,5,7,8,10,12]] => [[1,3,5,6,8,11],[2,4,7,9,10,12]] => [2,4,7,9,10,12,1,3,5,6,8,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,15),(2,15),(3,15),(4,15),(5,15),(6,15),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,15),(14,15)],16)
[[1,3,4,6,9,10],[2,5,7,8,11,12]] => [[1,2,5,6,8,11],[3,4,7,9,10,12]] => [3,4,7,9,10,12,1,2,5,6,8,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,3,4,6,8,11],[2,5,7,9,10,12]] => [[1,3,4,6,8,11],[2,5,7,9,10,12]] => [2,5,7,9,10,12,1,3,4,6,8,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,15),(2,15),(3,15),(4,15),(5,15),(6,15),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,15),(14,15)],16)
[[1,3,4,6,8,10],[2,5,7,9,11,12]] => [[1,2,4,6,8,11],[3,5,7,9,10,12]] => [3,5,7,9,10,12,1,2,4,6,8,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,15),(2,15),(3,15),(4,15),(5,15),(6,15),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,15),(14,15)],16)
[[1,3,4,6,8,9],[2,5,7,10,11,12]] => [[1,2,3,6,8,11],[4,5,7,9,10,12]] => [4,5,7,9,10,12,1,2,3,6,8,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,3,4,6,7,11],[2,5,8,9,10,12]] => [[1,3,4,5,8,11],[2,6,7,9,10,12]] => [2,6,7,9,10,12,1,3,4,5,8,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,3,4,6,7,10],[2,5,8,9,11,12]] => [[1,2,4,5,8,11],[3,6,7,9,10,12]] => [3,6,7,9,10,12,1,2,4,5,8,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,3,4,6,7,9],[2,5,8,10,11,12]] => [[1,2,3,5,8,11],[4,6,7,9,10,12]] => [4,6,7,9,10,12,1,2,3,5,8,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,3,4,5,9,11],[2,6,7,8,10,12]] => [[1,3,5,6,7,11],[2,4,8,9,10,12]] => [2,4,8,9,10,12,1,3,5,6,7,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,19),(2,19),(3,19),(4,19),(5,19),(6,19),(7,14),(8,13),(9,16),(10,15),(11,15),(11,16),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,19),(18,19)],20)
[[1,3,4,5,9,10],[2,6,7,8,11,12]] => [[1,2,5,6,7,11],[3,4,8,9,10,12]] => [3,4,8,9,10,12,1,2,5,6,7,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,21),(2,21),(3,14),(4,13),(5,16),(6,15),(7,18),(8,18),(9,17),(10,17),(11,15),(11,16),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,21),(18,21),(19,21),(20,21)],22)
[[1,3,4,5,8,11],[2,6,7,9,10,12]] => [[1,3,4,6,7,11],[2,5,8,9,10,12]] => [2,5,8,9,10,12,1,3,4,6,7,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,3,4,5,8,10],[2,6,7,9,11,12]] => [[1,2,4,6,7,11],[3,5,8,9,10,12]] => [3,5,8,9,10,12,1,2,4,6,7,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,3,4,5,8,9],[2,6,7,10,11,12]] => [[1,2,3,6,7,11],[4,5,8,9,10,12]] => [4,5,8,9,10,12,1,2,3,6,7,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,21),(2,21),(3,14),(4,13),(5,16),(6,15),(7,18),(8,18),(9,17),(10,17),(11,15),(11,16),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,21),(18,21),(19,21),(20,21)],22)
[[1,3,4,5,7,11],[2,6,8,9,10,12]] => [[1,3,4,5,7,11],[2,6,8,9,10,12]] => [2,6,8,9,10,12,1,3,4,5,7,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,19),(2,19),(3,19),(4,19),(5,19),(6,19),(7,14),(8,13),(9,16),(10,15),(11,15),(11,16),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,19),(18,19)],20)
[[1,3,4,5,7,10],[2,6,8,9,11,12]] => [[1,2,4,5,7,11],[3,6,8,9,10,12]] => [3,6,8,9,10,12,1,2,4,5,7,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,3,4,5,7,9],[2,6,8,10,11,12]] => [[1,2,3,5,7,11],[4,6,8,9,10,12]] => [4,6,8,9,10,12,1,2,3,5,7,11] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,19),(2,19),(3,19),(4,19),(5,19),(6,19),(7,14),(8,13),(9,16),(10,15),(11,15),(11,16),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,19),(18,19)],20)
[[1,2,5,7,9,11],[3,4,6,8,10,12]] => [[1,3,5,7,9,10],[2,4,6,8,11,12]] => [2,4,6,8,11,12,1,3,5,7,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,15),(2,15),(3,15),(4,15),(5,15),(6,15),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,15),(14,15)],16)
[[1,2,5,7,9,10],[3,4,6,8,11,12]] => [[1,2,5,7,9,10],[3,4,6,8,11,12]] => [3,4,6,8,11,12,1,2,5,7,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,2,5,7,8,11],[3,4,6,9,10,12]] => [[1,3,4,7,9,10],[2,5,6,8,11,12]] => [2,5,6,8,11,12,1,3,4,7,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,2,5,7,8,10],[3,4,6,9,11,12]] => [[1,2,4,7,9,10],[3,5,6,8,11,12]] => [3,5,6,8,11,12,1,2,4,7,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,2,5,7,8,9],[3,4,6,10,11,12]] => [[1,2,3,7,9,10],[4,5,6,8,11,12]] => [4,5,6,8,11,12,1,2,3,7,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,21),(2,21),(3,14),(4,13),(5,16),(6,15),(7,18),(8,18),(9,17),(10,17),(11,15),(11,16),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,21),(18,21),(19,21),(20,21)],22)
[[1,2,5,6,9,11],[3,4,7,8,10,12]] => [[1,3,5,6,9,10],[2,4,7,8,11,12]] => [2,4,7,8,11,12,1,3,5,6,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,2,5,6,9,10],[3,4,7,8,11,12]] => [[1,2,5,6,9,10],[3,4,7,8,11,12]] => [3,4,7,8,11,12,1,2,5,6,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,19),(14,19),(15,19),(16,19),(17,19),(18,19)],20)
[[1,2,5,6,8,11],[3,4,7,9,10,12]] => [[1,3,4,6,9,10],[2,5,7,8,11,12]] => [2,5,7,8,11,12,1,3,4,6,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,2,5,6,8,10],[3,4,7,9,11,12]] => [[1,2,4,6,9,10],[3,5,7,8,11,12]] => [3,5,7,8,11,12,1,2,4,6,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,2,5,6,8,9],[3,4,7,10,11,12]] => [[1,2,3,6,9,10],[4,5,7,8,11,12]] => [4,5,7,8,11,12,1,2,3,6,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,20),(2,18),(3,18),(4,17),(5,17),(6,16),(7,16),(8,15),(9,15),(10,14),(11,13),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,20),(18,20),(19,20)],21)
[[1,2,5,6,7,11],[3,4,8,9,10,12]] => [[1,3,4,5,9,10],[2,6,7,8,11,12]] => [2,6,7,8,11,12,1,3,4,5,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,21),(2,21),(3,14),(4,13),(5,16),(6,15),(7,18),(8,18),(9,17),(10,17),(11,15),(11,16),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,21),(18,21),(19,21),(20,21)],22)
[[1,2,5,6,7,10],[3,4,8,9,11,12]] => [[1,2,4,5,9,10],[3,6,7,8,11,12]] => [3,6,7,8,11,12,1,2,4,5,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,20),(2,18),(3,18),(4,17),(5,17),(6,16),(7,16),(8,15),(9,15),(10,14),(11,13),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,20),(18,20),(19,20)],21)
[[1,2,5,6,7,9],[3,4,8,10,11,12]] => [[1,2,3,5,9,10],[4,6,7,8,11,12]] => [4,6,7,8,11,12,1,2,3,5,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,21),(2,21),(3,14),(4,13),(5,16),(6,15),(7,18),(8,18),(9,17),(10,17),(11,15),(11,16),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,21),(18,21),(19,21),(20,21)],22)
[[1,2,4,7,9,11],[3,5,6,8,10,12]] => [[1,3,5,7,8,10],[2,4,6,9,11,12]] => [2,4,6,9,11,12,1,3,5,7,8,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,15),(2,15),(3,15),(4,15),(5,15),(6,15),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,15),(14,15)],16)
[[1,2,4,7,9,10],[3,5,6,8,11,12]] => [[1,2,5,7,8,10],[3,4,6,9,11,12]] => [3,4,6,9,11,12,1,2,5,7,8,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,2,4,7,8,11],[3,5,6,9,10,12]] => [[1,3,4,7,8,10],[2,5,6,9,11,12]] => [2,5,6,9,11,12,1,3,4,7,8,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,2,4,7,8,10],[3,5,6,9,11,12]] => [[1,2,4,7,8,10],[3,5,6,9,11,12]] => [3,5,6,9,11,12,1,2,4,7,8,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,2,4,7,8,9],[3,5,6,10,11,12]] => [[1,2,3,7,8,10],[4,5,6,9,11,12]] => [4,5,6,9,11,12,1,2,3,7,8,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,21),(2,21),(3,14),(4,13),(5,16),(6,15),(7,18),(8,18),(9,17),(10,17),(11,15),(11,16),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,21),(18,21),(19,21),(20,21)],22)
[[1,2,4,6,9,11],[3,5,7,8,10,12]] => [[1,3,5,6,8,10],[2,4,7,9,11,12]] => [2,4,7,9,11,12,1,3,5,6,8,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,15),(2,15),(3,15),(4,15),(5,15),(6,15),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,15),(14,15)],16)
[[1,2,4,6,9,10],[3,5,7,8,11,12]] => [[1,2,5,6,8,10],[3,4,7,9,11,12]] => [3,4,7,9,11,12,1,2,5,6,8,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,2,4,6,8,11],[3,5,7,9,10,12]] => [[1,3,4,6,8,10],[2,5,7,9,11,12]] => [2,5,7,9,11,12,1,3,4,6,8,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,15),(2,15),(3,15),(4,15),(5,15),(6,15),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,15),(14,15)],16)
[[1,2,4,6,8,10],[3,5,7,9,11,12]] => [[1,2,4,6,8,10],[3,5,7,9,11,12]] => [3,5,7,9,11,12,1,2,4,6,8,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,15),(2,15),(3,15),(4,15),(5,15),(6,15),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,15),(14,15)],16)
[[1,2,4,6,8,9],[3,5,7,10,11,12]] => [[1,2,3,6,8,10],[4,5,7,9,11,12]] => [4,5,7,9,11,12,1,2,3,6,8,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,2,4,6,7,11],[3,5,8,9,10,12]] => [[1,3,4,5,8,10],[2,6,7,9,11,12]] => [2,6,7,9,11,12,1,3,4,5,8,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,2,4,6,7,10],[3,5,8,9,11,12]] => [[1,2,4,5,8,10],[3,6,7,9,11,12]] => [3,6,7,9,11,12,1,2,4,5,8,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,2,4,6,7,9],[3,5,8,10,11,12]] => [[1,2,3,5,8,10],[4,6,7,9,11,12]] => [4,6,7,9,11,12,1,2,3,5,8,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,2,4,5,9,11],[3,6,7,8,10,12]] => [[1,3,5,6,7,10],[2,4,8,9,11,12]] => [2,4,8,9,11,12,1,3,5,6,7,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,2,4,5,9,10],[3,6,7,8,11,12]] => [[1,2,5,6,7,10],[3,4,8,9,11,12]] => [3,4,8,9,11,12,1,2,5,6,7,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,20),(2,18),(3,18),(4,17),(5,17),(6,16),(7,16),(8,15),(9,15),(10,14),(11,13),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,20),(18,20),(19,20)],21)
[[1,2,4,5,8,11],[3,6,7,9,10,12]] => [[1,3,4,6,7,10],[2,5,8,9,11,12]] => [2,5,8,9,11,12,1,3,4,6,7,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,2,4,5,8,10],[3,6,7,9,11,12]] => [[1,2,4,6,7,10],[3,5,8,9,11,12]] => [3,5,8,9,11,12,1,2,4,6,7,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,2,4,5,8,9],[3,6,7,10,11,12]] => [[1,2,3,6,7,10],[4,5,8,9,11,12]] => [4,5,8,9,11,12,1,2,3,6,7,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,20),(2,18),(3,18),(4,17),(5,17),(6,16),(7,16),(8,15),(9,15),(10,14),(11,13),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,20),(18,20),(19,20)],21)
[[1,2,4,5,7,11],[3,6,8,9,10,12]] => [[1,3,4,5,7,10],[2,6,8,9,11,12]] => [2,6,8,9,11,12,1,3,4,5,7,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,2,4,5,7,10],[3,6,8,9,11,12]] => [[1,2,4,5,7,10],[3,6,8,9,11,12]] => [3,6,8,9,11,12,1,2,4,5,7,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,17),(2,17),(3,17),(4,17),(5,16),(6,16),(7,15),(8,15),(9,14),(10,14),(11,13),(12,13),(13,17),(14,17),(15,17),(16,17)],18)
[[1,2,4,5,7,9],[3,6,8,10,11,12]] => [[1,2,3,5,7,10],[4,6,8,9,11,12]] => [4,6,8,9,11,12,1,2,3,5,7,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,2,4,5,6,10],[3,7,8,9,11,12]] => [[1,2,4,5,6,10],[3,7,8,9,11,12]] => [3,7,8,9,11,12,1,2,4,5,6,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,21),(2,21),(3,14),(4,13),(5,16),(6,15),(7,18),(8,18),(9,17),(10,17),(11,15),(11,16),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,21),(18,21),(19,21),(20,21)],22)
[[1,2,4,5,6,9],[3,7,8,10,11,12]] => [[1,2,3,5,6,10],[4,7,8,9,11,12]] => [4,7,8,9,11,12,1,2,3,5,6,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,21),(2,21),(3,14),(4,13),(5,16),(6,15),(7,18),(8,18),(9,17),(10,17),(11,15),(11,16),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,21),(18,21),(19,21),(20,21)],22)
[[1,2,3,7,9,11],[4,5,6,8,10,12]] => [[1,3,5,7,8,9],[2,4,6,10,11,12]] => [2,4,6,10,11,12,1,3,5,7,8,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,19),(2,19),(3,19),(4,19),(5,19),(6,19),(7,14),(8,13),(9,16),(10,15),(11,15),(11,16),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,19),(18,19)],20)
[[1,2,3,7,9,10],[4,5,6,8,11,12]] => [[1,2,5,7,8,9],[3,4,6,10,11,12]] => [3,4,6,10,11,12,1,2,5,7,8,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,21),(2,21),(3,14),(4,13),(5,16),(6,15),(7,18),(8,18),(9,17),(10,17),(11,15),(11,16),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,21),(18,21),(19,21),(20,21)],22)
[[1,2,3,7,8,11],[4,5,6,9,10,12]] => [[1,3,4,7,8,9],[2,5,6,10,11,12]] => [2,5,6,10,11,12,1,3,4,7,8,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,21),(2,21),(3,14),(4,13),(5,16),(6,15),(7,18),(8,18),(9,17),(10,17),(11,15),(11,16),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,21),(18,21),(19,21),(20,21)],22)
[[1,2,3,7,8,10],[4,5,6,9,11,12]] => [[1,2,4,7,8,9],[3,5,6,10,11,12]] => [3,5,6,10,11,12,1,2,4,7,8,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,21),(2,21),(3,14),(4,13),(5,16),(6,15),(7,18),(8,18),(9,17),(10,17),(11,15),(11,16),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,21),(18,21),(19,21),(20,21)],22)
[[1,2,3,6,9,11],[4,5,7,8,10,12]] => [[1,3,5,6,8,9],[2,4,7,10,11,12]] => [2,4,7,10,11,12,1,3,5,6,8,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,2,3,6,9,10],[4,5,7,8,11,12]] => [[1,2,5,6,8,9],[3,4,7,10,11,12]] => [3,4,7,10,11,12,1,2,5,6,8,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,20),(2,18),(3,18),(4,17),(5,17),(6,16),(7,16),(8,15),(9,15),(10,14),(11,13),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,20),(18,20),(19,20)],21)
[[1,2,3,6,8,11],[4,5,7,9,10,12]] => [[1,3,4,6,8,9],[2,5,7,10,11,12]] => [2,5,7,10,11,12,1,3,4,6,8,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,2,3,6,8,10],[4,5,7,9,11,12]] => [[1,2,4,6,8,9],[3,5,7,10,11,12]] => [3,5,7,10,11,12,1,2,4,6,8,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,2,3,6,8,9],[4,5,7,10,11,12]] => [[1,2,3,6,8,9],[4,5,7,10,11,12]] => [4,5,7,10,11,12,1,2,3,6,8,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,21),(2,21),(3,14),(4,13),(5,16),(6,15),(7,18),(8,18),(9,17),(10,17),(11,15),(11,16),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,21),(18,21),(19,21),(20,21)],22)
[[1,2,3,6,7,11],[4,5,8,9,10,12]] => [[1,3,4,5,8,9],[2,6,7,10,11,12]] => [2,6,7,10,11,12,1,3,4,5,8,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,21),(2,21),(3,14),(4,13),(5,16),(6,15),(7,18),(8,18),(9,17),(10,17),(11,15),(11,16),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,21),(18,21),(19,21),(20,21)],22)
[[1,2,3,6,7,10],[4,5,8,9,11,12]] => [[1,2,4,5,8,9],[3,6,7,10,11,12]] => [3,6,7,10,11,12,1,2,4,5,8,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,20),(2,18),(3,18),(4,17),(5,17),(6,16),(7,16),(8,15),(9,15),(10,14),(11,13),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,20),(18,20),(19,20)],21)
[[1,2,3,6,7,9],[4,5,8,10,11,12]] => [[1,2,3,5,8,9],[4,6,7,10,11,12]] => [4,6,7,10,11,12,1,2,3,5,8,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,21),(2,21),(3,14),(4,13),(5,16),(6,15),(7,18),(8,18),(9,17),(10,17),(11,15),(11,16),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,21),(18,21),(19,21),(20,21)],22)
[[1,2,3,5,9,11],[4,6,7,8,10,12]] => [[1,3,5,6,7,9],[2,4,8,10,11,12]] => [2,4,8,10,11,12,1,3,5,6,7,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,19),(2,19),(3,19),(4,19),(5,19),(6,19),(7,14),(8,13),(9,16),(10,15),(11,15),(11,16),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,19),(18,19)],20)
[[1,2,3,5,9,10],[4,6,7,8,11,12]] => [[1,2,5,6,7,9],[3,4,8,10,11,12]] => [3,4,8,10,11,12,1,2,5,6,7,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,21),(2,21),(3,14),(4,13),(5,16),(6,15),(7,18),(8,18),(9,17),(10,17),(11,15),(11,16),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,21),(18,21),(19,21),(20,21)],22)
[[1,2,3,5,8,11],[4,6,7,9,10,12]] => [[1,3,4,6,7,9],[2,5,8,10,11,12]] => [2,5,8,10,11,12,1,3,4,6,7,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,2,3,5,8,10],[4,6,7,9,11,12]] => [[1,2,4,6,7,9],[3,5,8,10,11,12]] => [3,5,8,10,11,12,1,2,4,6,7,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,2,3,5,8,9],[4,6,7,10,11,12]] => [[1,2,3,6,7,9],[4,5,8,10,11,12]] => [4,5,8,10,11,12,1,2,3,6,7,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,21),(2,21),(3,14),(4,13),(5,16),(6,15),(7,18),(8,18),(9,17),(10,17),(11,15),(11,16),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,21),(18,21),(19,21),(20,21)],22)
[[1,2,3,5,7,11],[4,6,8,9,10,12]] => [[1,3,4,5,7,9],[2,6,8,10,11,12]] => [2,6,8,10,11,12,1,3,4,5,7,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,19),(2,19),(3,19),(4,19),(5,19),(6,19),(7,14),(8,13),(9,16),(10,15),(11,15),(11,16),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,19),(18,19)],20)
[[1,2,3,5,7,10],[4,6,8,9,11,12]] => [[1,2,4,5,7,9],[3,6,8,10,11,12]] => [3,6,8,10,11,12,1,2,4,5,7,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,18),(2,18),(3,18),(4,18),(5,18),(6,14),(7,13),(8,16),(9,16),(10,15),(11,15),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,2,3,5,7,9],[4,6,8,10,11,12]] => [[1,2,3,5,7,9],[4,6,8,10,11,12]] => [4,6,8,10,11,12,1,2,3,5,7,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,19),(2,19),(3,19),(4,19),(5,19),(6,19),(7,14),(8,13),(9,16),(10,15),(11,15),(11,16),(12,13),(12,14),(13,17),(14,17),(15,18),(16,18),(17,19),(18,19)],20)
[[1,2,3,5,6,10],[4,7,8,9,11,12]] => [[1,2,4,5,6,9],[3,7,8,10,11,12]] => [3,7,8,10,11,12,1,2,4,5,6,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,21),(2,21),(3,14),(4,13),(5,16),(6,15),(7,18),(8,18),(9,17),(10,17),(11,15),(11,16),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,21),(18,21),(19,21),(20,21)],22)
[[1,2,3,5,6,9],[4,7,8,10,11,12]] => [[1,2,3,5,6,9],[4,7,8,10,11,12]] => [4,7,8,10,11,12,1,2,3,5,6,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(0,11),(0,12),(1,21),(2,21),(3,14),(4,13),(5,16),(6,15),(7,18),(8,18),(9,17),(10,17),(11,15),(11,16),(12,13),(12,14),(13,19),(14,19),(15,20),(16,20),(17,21),(18,21),(19,21),(20,21)],22)
[[1,2,3,4,5,6],[7,8],[9]] => [[1,3,6,7,8,9],[2,5],[4]] => [4,2,5,1,3,6,7,8,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,20),(2,20),(3,20),(4,20),(5,20),(6,15),(7,15),(7,18),(8,16),(8,19),(9,18),(9,19),(11,13),(12,14),(13,10),(14,10),(15,11),(16,12),(17,13),(17,14),(18,11),(18,17),(19,12),(19,17),(20,16)],21)
[[1,2,3,4,5],[6,7,8],[9]] => [[1,3,4,8,9],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,15),(2,15),(3,15),(4,12),(5,12),(6,11),(7,11),(8,10),(9,10),(9,13),(10,14),(11,15),(12,15),(13,14),(15,13)],16)
[[1,2,3,4,5],[6,7],[8,9]] => [[1,2,7,8,9],[3,4],[5,6]] => [5,6,3,4,1,2,7,8,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,21),(2,21),(3,18),(4,18),(5,19),(6,19),(7,17),(8,16),(8,20),(9,17),(9,20),(11,16),(12,11),(13,11),(14,10),(15,10),(16,14),(17,15),(18,13),(19,12),(20,14),(20,15),(21,12),(21,13)],22)
[[1,2,3,4,5],[6,7],[8],[9]] => [[1,4,7,8,9],[2,6],[3],[5]] => [5,3,2,6,1,4,7,8,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,17),(2,17),(3,17),(4,17),(5,10),(6,12),(7,12),(8,10),(8,11),(9,11),(9,13),(10,14),(11,14),(11,15),(12,17),(13,15),(14,16),(15,16),(17,13)],18)
[[1,2,3,4],[5,6,7,8],[9]] => [[1,3,4,5],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,16),(2,16),(3,16),(4,11),(5,10),(6,13),(7,12),(8,12),(8,13),(9,10),(9,11),(10,14),(11,14),(12,15),(13,15),(14,16),(15,16)],17)
[[1,2,3,4],[5,6,7],[8,9]] => [[1,2,5,9],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,14),(2,14),(3,12),(4,12),(5,11),(6,11),(7,10),(8,10),(9,13),(10,14),(11,14),(12,14),(14,13)],15)
[[1,2,3,4],[5,6,7],[8],[9]] => [[1,4,5,9],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,14),(2,14),(3,12),(4,12),(5,11),(6,11),(7,10),(8,10),(9,13),(10,14),(11,14),(12,14),(14,13)],15)
[[1,2,3,4],[5,6],[7,8],[9]] => [[1,3,8,9],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,13),(2,13),(3,13),(4,13),(5,13),(6,13),(7,13),(8,10),(9,10),(9,11),(10,12),(11,12),(13,11)],14)
[[1,2,3,4],[5,6],[7],[8],[9]] => [[1,5,8,9],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,16),(2,16),(3,16),(4,16),(5,11),(6,10),(7,12),(8,10),(8,11),(9,12),(9,13),(10,15),(11,15),(12,14),(13,14),(15,16),(16,13)],17)
[[1,2,3],[4,5,6],[7,8,9]] => [[1,2,3],[4,5,6],[7,8,9]] => [7,8,9,4,5,6,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,16),(2,15),(3,18),(4,17),(5,20),(6,19),(7,17),(7,18),(8,15),(8,16),(9,19),(9,20),(11,13),(12,14),(13,10),(14,10),(15,11),(16,11),(17,12),(18,12),(19,21),(20,21),(21,13),(21,14)],22)
[[1,2,3],[4,5,6],[7,8],[9]] => [[1,3,6],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[[1,2,3],[4,5,6],[7],[8],[9]] => [[1,5,6],[2,8,9],[3],[4],[7]] => [7,4,3,2,8,9,1,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,15),(2,15),(3,11),(4,10),(5,13),(6,13),(7,12),(8,12),(9,10),(9,11),(10,14),(11,14),(12,15),(13,15),(14,15)],16)
[[1,2,3],[4,5],[6,7],[8,9]] => [[1,2,9],[3,4],[5,6],[7,8]] => [7,8,5,6,3,4,1,2,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,16),(2,16),(3,17),(4,17),(5,19),(6,19),(7,20),(8,20),(9,10),(11,15),(12,15),(13,12),(14,11),(15,10),(16,13),(17,14),(18,11),(18,12),(19,13),(19,18),(20,14),(20,18)],21)
[[1,2,3],[4,5],[6,7],[8],[9]] => [[1,4,9],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,10),(11,10)],12)
[[1,2,3],[4,5],[6],[7],[8],[9]] => [[1,6,9],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,17),(2,17),(3,17),(4,17),(5,11),(6,10),(7,13),(8,10),(8,12),(9,11),(9,12),(10,14),(11,15),(12,14),(12,15),(14,16),(15,16),(16,17),(17,13)],18)
[[1,2],[3,4],[5,6],[7,8],[9]] => [[1,3],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[[1,2],[3,4],[5,6],[7],[8],[9]] => [[1,5],[2,7],[3,9],[4],[6],[8]] => [8,6,4,3,9,2,7,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,10),(9,10),(10,11)],12)
[[1,2],[3,4],[5],[6],[7],[8],[9]] => [[1,7],[2,9],[3],[4],[5],[6],[8]] => [8,6,5,4,3,2,9,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,20),(2,20),(3,20),(4,20),(5,16),(6,15),(7,15),(7,18),(8,16),(8,19),(9,18),(9,19),(10,20),(11,13),(12,14),(13,10),(14,10),(15,11),(16,12),(17,13),(17,14),(18,11),(18,17),(19,12),(19,17)],21)
[[1,2,3,4,5,6],[7,8,9],[10]] => [[1,3,4,8,9,10],[2,6,7],[5]] => [5,2,6,7,1,3,4,8,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,19),(2,19),(3,19),(4,11),(5,14),(6,14),(7,13),(8,13),(9,11),(9,12),(10,12),(10,15),(11,16),(12,16),(12,17),(13,19),(14,19),(15,17),(16,18),(17,18),(19,15)],20)
[[1,2,3,4,5],[6,7,8,9],[10]] => [[1,3,4,5,10],[2,7,8,9],[6]] => [6,2,7,8,9,1,3,4,5,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,18),(2,18),(3,18),(4,12),(5,11),(6,14),(7,13),(8,15),(9,13),(9,14),(10,11),(10,12),(11,16),(12,16),(13,17),(14,17),(16,18),(17,18),(18,15)],19)
[[1,2,3,4,5],[6,7,8],[9,10]] => [[1,2,5,9,10],[3,4,8],[6,7]] => [6,7,3,4,8,1,2,5,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,17),(2,17),(3,14),(4,14),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(10,15),(11,16),(12,17),(13,17),(14,17),(15,16),(17,15)],18)
[[1,2,3,4,5],[6,7,8],[9],[10]] => [[1,4,5,9,10],[2,7,8],[3],[6]] => [6,3,2,7,8,1,4,5,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,17),(2,17),(3,14),(4,14),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(10,15),(11,16),(12,17),(13,17),(14,17),(15,16),(17,15)],18)
[[1,2,3,4,5],[6,7],[8,9],[10]] => [[1,3,8,9,10],[2,5],[4,7],[6]] => [6,4,7,2,5,1,3,8,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,17),(2,17),(3,17),(4,17),(5,17),(6,17),(7,17),(8,11),(9,11),(9,12),(10,12),(10,13),(11,14),(12,14),(12,15),(13,15),(14,16),(15,16),(17,13)],18)
[[1,2,3,4,5],[6,7],[8],[9],[10]] => [[1,5,8,9,10],[2,7],[3],[4],[6]] => [6,4,3,2,7,1,5,8,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,20),(2,20),(3,20),(4,20),(5,12),(6,11),(7,13),(8,11),(8,12),(9,13),(9,14),(10,14),(10,15),(11,19),(12,19),(13,16),(14,16),(14,17),(15,17),(16,18),(17,18),(19,20),(20,15)],21)
[[1,2,3,4],[5,6,7,8],[9,10]] => [[1,2,5,6],[3,4,9,10],[7,8]] => [7,8,3,4,9,10,1,2,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,15),(2,15),(3,14),(4,14),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(11,16),(12,16),(13,16),(14,16),(15,16)],17)
[[1,2,3,4],[5,6,7,8],[9],[10]] => [[1,4,5,6],[2,8,9,10],[3],[7]] => [7,3,2,8,9,10,1,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,18),(2,18),(3,12),(4,11),(5,14),(6,13),(7,15),(8,15),(9,13),(9,14),(10,11),(10,12),(11,16),(12,16),(13,17),(14,17),(15,18),(16,18),(17,18)],19)
[[1,2,3,4],[5,6,7],[8,9],[10]] => [[1,3,6,10],[2,5,9],[4,8],[7]] => [7,4,8,2,5,9,1,3,6,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,12),(8,12),(9,12),(10,11),(12,11)],13)
[[1,2,3,4],[5,6,7],[8],[9],[10]] => [[1,5,6,10],[2,8,9],[3],[4],[7]] => [7,4,3,2,8,9,1,5,6,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,17),(2,17),(3,12),(4,11),(5,14),(6,14),(7,13),(8,13),(9,15),(10,11),(10,12),(11,16),(12,16),(13,17),(14,17),(16,17),(17,15)],18)
[[1,2,3,4],[5,6],[7,8],[9],[10]] => [[1,4,9,10],[2,6],[3,8],[5],[7]] => [7,5,3,8,2,6,1,4,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,14),(2,14),(3,14),(4,14),(5,14),(6,14),(7,14),(8,14),(9,11),(10,11),(10,12),(11,13),(12,13),(14,12)],15)
[[1,2,3,4],[5,6],[7],[8],[9],[10]] => [[1,6,9,10],[2,8],[3],[4],[5],[7]] => [7,5,4,3,2,8,1,6,9,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,20),(2,20),(3,20),(4,20),(5,12),(6,11),(7,13),(8,11),(8,14),(9,12),(9,14),(10,13),(10,15),(11,16),(12,17),(13,18),(14,16),(14,17),(15,18),(16,19),(17,19),(19,20),(20,15)],21)
[[1,2,3],[4,5,6],[7,8,9],[10]] => [[1,3,4],[2,6,7],[5,9,10],[8]] => [8,5,9,10,2,6,7,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,14),(2,14),(3,14),(4,14),(5,13),(6,13),(7,12),(8,12),(9,11),(10,11),(11,14),(12,14),(13,14)],15)
[[1,2,3],[4,5,6],[7,8],[9,10]] => [[1,2,7],[3,4,10],[5,6],[8,9]] => [8,9,5,6,3,4,10,1,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,16),(2,16),(3,12),(4,12),(5,11),(6,11),(7,14),(8,14),(9,13),(10,13),(11,15),(12,15),(13,16),(14,16),(15,16)],17)
[[1,2,3],[4,5,6],[7,8],[9],[10]] => [[1,4,7],[2,6,10],[3,9],[5],[8]] => [8,5,3,9,2,6,10,1,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[[1,2,3],[4,5,6],[7],[8],[9],[10]] => [[1,6,7],[2,9,10],[3],[4],[5],[8]] => [8,5,4,3,2,9,10,1,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,19),(2,19),(3,12),(4,11),(5,15),(6,15),(7,14),(8,14),(9,11),(9,13),(10,12),(10,13),(11,16),(12,17),(13,16),(13,17),(14,19),(15,19),(16,18),(17,18),(18,19)],20)
[[1,2,3],[4,5],[6,7],[8,9],[10]] => [[1,3,10],[2,5],[4,7],[6,9],[8]] => [8,6,9,4,7,2,5,1,3,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,12),(8,12),(9,12),(10,11),(12,11)],13)
[[1,2,3],[4,5],[6,7],[8],[9],[10]] => [[1,5,10],[2,7],[3,9],[4],[6],[8]] => [8,6,4,3,9,2,7,1,5,10] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,13),(2,13),(3,13),(4,13),(5,13),(6,13),(7,13),(8,11),(9,11),(10,12),(11,13),(13,12)],14)
[[1,2],[3,4],[5,6],[7,8],[9],[10]] => [[1,4],[2,6],[3,8],[5,10],[7],[9]] => [9,7,5,10,3,8,2,6,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,11),(2,11),(3,11),(4,11),(5,11),(6,11),(7,11),(8,11),(9,11),(10,11)],12)
[[1,2],[3,4],[5,6],[7],[8],[9],[10]] => [[1,6],[2,8],[3,10],[4],[5],[7],[9]] => [9,7,5,4,3,10,2,8,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,14),(2,14),(3,14),(4,14),(5,14),(6,14),(7,14),(8,12),(9,11),(10,11),(10,12),(11,13),(12,13),(13,14)],15)
[[1,2,9],[3,4],[5,6],[7,8]] => [[1,2,3],[4,5],[6,7],[8,9]] => [8,9,6,7,4,5,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,18),(2,18),(3,17),(4,16),(5,20),(6,20),(7,21),(8,21),(9,16),(9,17),(11,12),(12,14),(13,15),(14,10),(15,10),(16,11),(17,11),(18,13),(19,14),(19,15),(20,12),(20,19),(21,13),(21,19)],22)
[[1,3,4,5],[2,7,8],[6,10],[9]] => [[1,2,5,9],[3,4,8],[6,7],[10]] => [10,6,7,3,4,8,1,2,5,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,15),(2,16),(3,16),(4,13),(5,13),(6,12),(7,12),(8,11),(9,11),(10,14),(11,16),(12,16),(13,16),(14,15),(16,14)],17)
[[1,2,5,9],[3,4,8],[6,7],[10]] => [[1,3,4,5],[2,7,8],[6,10],[9]] => [9,6,10,2,7,8,1,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,15),(2,15),(3,15),(4,15),(5,15),(6,12),(7,11),(8,13),(9,13),(10,11),(10,12),(11,14),(12,14),(13,15),(14,15)],16)
[[1,2,4,6,7,8,9],[3,5]] => [[1,2,3,4,5,7,9],[6,8]] => [6,8,1,2,3,4,5,7,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,21),(2,21),(3,21),(4,17),(5,16),(6,11),(7,16),(7,19),(8,17),(8,20),(9,19),(9,20),(10,21),(12,14),(13,15),(14,10),(15,10),(16,12),(17,13),(18,14),(18,15),(19,12),(19,18),(20,13),(20,18),(21,11)],22)
[[1,2,4,5,6,7,8],[3,9]] => [[1,3,4,5,6,7,9],[2,8]] => [2,8,1,3,4,5,6,7,9] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,21),(2,21),(3,21),(4,17),(5,16),(6,11),(7,16),(7,19),(8,17),(8,20),(9,19),(9,20),(10,21),(12,14),(13,15),(14,10),(15,10),(16,12),(17,13),(18,14),(18,15),(19,12),(19,18),(20,13),(20,18),(21,11)],22)
[[1,2,3,7],[4,5,6],[8,9],[10]] => [[1,3,6,7],[2,5,10],[4,9],[8]] => [8,4,9,2,5,10,1,3,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,12),(8,12),(9,11),(10,11),(11,12)],13)
Map
Schützenberger involution
Description
Sends a standard tableau to the standard tableau obtained via the Schützenberger involution.
Map
reading word permutation
Description
Return the permutation obtained by reading the entries of the tableau row by row, starting with the bottom-most row in English notation.
Map
lattice of intervals
Description
The lattice of intervals of a permutation.
An interval of a permutation $\pi$ is a possibly empty interval of values that appear in consecutive positions of $\pi$. The lattice of intervals of $\pi$ has as elements the intervals of $\pi$, ordered by set inclusion.
An interval of a permutation $\pi$ is a possibly empty interval of values that appear in consecutive positions of $\pi$. The lattice of intervals of $\pi$ has as elements the intervals of $\pi$, ordered by set inclusion.
searching the database
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