[[1,1],[2,3],[4]] => [5,3,4,1,2] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 2
[[1,1],[2,4],[3]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[1,1],[2,4],[4]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[1,1],[3,3],[4]] => [5,3,4,1,2] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 2
[[1,1],[3,4],[4]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[1,2],[2,3],[4]] => [5,2,4,1,3] => [5,2,1,4,3] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => 1
[[1,2],[2,4],[3]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[1,2],[2,4],[4]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[1,2],[3,3],[4]] => [5,3,4,1,2] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 2
[[1,3],[2,4],[3]] => [3,2,5,1,4] => [3,5,2,1,4] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[1,2],[3,4],[4]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[1,3],[2,4],[4]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[1,3],[3,4],[4]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[2,2],[3,3],[4]] => [5,3,4,1,2] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 2
[[2,2],[3,4],[4]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[2,3],[3,4],[4]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[1,1,1],[2,2,3]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,1,1],[2,3,3]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,1,1],[3,3,3]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,1,2],[2,2,3]] => [3,4,6,1,2,5] => [6,3,1,4,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => 1
[[1,1,2],[2,3,3]] => [3,5,6,1,2,4] => [5,1,6,3,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[[1,1,2],[3,3,3]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,2,2],[2,3,3]] => [2,5,6,1,3,4] => [5,2,1,6,3,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => 2
[[1,2,2],[3,3,3]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[2,2,2],[3,3,3]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,1,2],[2,3],[3]] => [5,3,6,1,2,4] => [3,1,5,2,6,4] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[[1,2,2],[2,3],[3]] => [5,2,6,1,3,4] => [5,2,1,3,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 2
[[1,1],[2,2],[3,3]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[[1],[8]] => [2,1] => [2,1] => ([(0,1)],2) => 1
[[2],[8]] => [2,1] => [2,1] => ([(0,1)],2) => 1
[[3],[8]] => [2,1] => [2,1] => ([(0,1)],2) => 1
[[4],[8]] => [2,1] => [2,1] => ([(0,1)],2) => 1
[[5],[8]] => [2,1] => [2,1] => ([(0,1)],2) => 1
[[6],[8]] => [2,1] => [2,1] => ([(0,1)],2) => 1
[[7],[8]] => [2,1] => [2,1] => ([(0,1)],2) => 1
[[1],[2],[7]] => [3,2,1] => [3,2,1] => ([(0,1),(0,2),(1,2)],3) => 1
[[1],[3],[7]] => [3,2,1] => [3,2,1] => ([(0,1),(0,2),(1,2)],3) => 1
[[1],[4],[7]] => [3,2,1] => [3,2,1] => ([(0,1),(0,2),(1,2)],3) => 1
[[1],[5],[7]] => [3,2,1] => [3,2,1] => ([(0,1),(0,2),(1,2)],3) => 1
[[1],[6],[7]] => [3,2,1] => [3,2,1] => ([(0,1),(0,2),(1,2)],3) => 1
[[2],[3],[7]] => [3,2,1] => [3,2,1] => ([(0,1),(0,2),(1,2)],3) => 1
[[2],[4],[7]] => [3,2,1] => [3,2,1] => ([(0,1),(0,2),(1,2)],3) => 1
[[2],[5],[7]] => [3,2,1] => [3,2,1] => ([(0,1),(0,2),(1,2)],3) => 1
[[2],[6],[7]] => [3,2,1] => [3,2,1] => ([(0,1),(0,2),(1,2)],3) => 1
[[3],[4],[7]] => [3,2,1] => [3,2,1] => ([(0,1),(0,2),(1,2)],3) => 1
[[3],[5],[7]] => [3,2,1] => [3,2,1] => ([(0,1),(0,2),(1,2)],3) => 1
[[3],[6],[7]] => [3,2,1] => [3,2,1] => ([(0,1),(0,2),(1,2)],3) => 1
[[4],[5],[7]] => [3,2,1] => [3,2,1] => ([(0,1),(0,2),(1,2)],3) => 1
[[4],[6],[7]] => [3,2,1] => [3,2,1] => ([(0,1),(0,2),(1,2)],3) => 1
[[5],[6],[7]] => [3,2,1] => [3,2,1] => ([(0,1),(0,2),(1,2)],3) => 1
[[1,1],[2,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[1,1],[3,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[1,1],[4,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[1,1],[5,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[1,1],[6,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[1,2],[2,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[1,2],[3,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[1,3],[2,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[1,2],[4,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[1,4],[2,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[1,2],[5,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[1,5],[2,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[1,2],[6,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[1,3],[3,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[1,3],[4,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[1,4],[3,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[1,3],[5,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[1,5],[3,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[1,3],[6,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[1,4],[4,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[1,4],[5,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[1,5],[4,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[1,4],[6,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[1,5],[5,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[1,5],[6,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[2,2],[3,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[2,2],[4,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[2,2],[5,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[2,2],[6,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[2,3],[3,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[2,3],[4,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[2,4],[3,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[2,3],[5,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[2,5],[3,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[2,3],[6,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[2,4],[4,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[2,4],[5,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[2,5],[4,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[2,4],[6,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[2,5],[5,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[2,5],[6,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[3,3],[4,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[3,3],[5,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[3,3],[6,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[3,4],[4,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[3,4],[5,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[3,5],[4,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[3,4],[6,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[3,5],[5,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[3,5],[6,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[4,4],[5,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[4,4],[6,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[4,5],[5,6]] => [2,4,1,3] => [4,2,1,3] => ([(0,3),(1,2),(1,3),(2,3)],4) => 1
[[4,5],[6,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[5,5],[6,6]] => [3,4,1,2] => [3,1,4,2] => ([(0,3),(1,2),(2,3)],4) => 2
[[1],[2],[3],[6]] => [4,3,2,1] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1
[[1],[2],[4],[6]] => [4,3,2,1] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1
[[1],[2],[5],[6]] => [4,3,2,1] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1
[[1],[3],[4],[6]] => [4,3,2,1] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1
[[1],[3],[5],[6]] => [4,3,2,1] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1
[[1],[4],[5],[6]] => [4,3,2,1] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1
[[2],[3],[4],[6]] => [4,3,2,1] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1
[[2],[3],[5],[6]] => [4,3,2,1] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1
[[2],[4],[5],[6]] => [4,3,2,1] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1
[[3],[4],[5],[6]] => [4,3,2,1] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 1
[[1,1],[2,2],[5]] => [5,3,4,1,2] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 2
[[1,1],[2,3],[5]] => [5,3,4,1,2] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 2
[[1,1],[2,5],[3]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[1,1],[2,4],[5]] => [5,3,4,1,2] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 2
[[1,1],[2,5],[4]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[1,1],[2,5],[5]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[1,1],[3,3],[5]] => [5,3,4,1,2] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 2
[[1,1],[3,4],[5]] => [5,3,4,1,2] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 2
[[1,1],[3,5],[4]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[1,1],[3,5],[5]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[1,1],[4,4],[5]] => [5,3,4,1,2] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 2
[[1,1],[4,5],[5]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[1,2],[2,3],[5]] => [5,2,4,1,3] => [5,2,1,4,3] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => 1
[[1,2],[2,5],[3]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[1,2],[2,4],[5]] => [5,2,4,1,3] => [5,2,1,4,3] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => 1
[[1,2],[2,5],[4]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[1,2],[2,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[1,2],[3,3],[5]] => [5,3,4,1,2] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 2
[[1,3],[2,5],[3]] => [3,2,5,1,4] => [3,5,2,1,4] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[1,2],[3,4],[5]] => [5,3,4,1,2] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 2
[[1,2],[3,5],[4]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[1,3],[2,4],[5]] => [5,2,4,1,3] => [5,2,1,4,3] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => 1
[[1,3],[2,5],[4]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[1,4],[2,5],[3]] => [3,2,5,1,4] => [3,5,2,1,4] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[1,2],[3,5],[5]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[1,3],[2,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[1,2],[4,4],[5]] => [5,3,4,1,2] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 2
[[1,4],[2,5],[4]] => [3,2,5,1,4] => [3,5,2,1,4] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[1,2],[4,5],[5]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[1,4],[2,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[1,3],[3,4],[5]] => [5,2,4,1,3] => [5,2,1,4,3] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => 1
[[1,3],[3,5],[4]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[1,3],[3,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[1,3],[4,4],[5]] => [5,3,4,1,2] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 2
[[1,4],[3,5],[4]] => [3,2,5,1,4] => [3,5,2,1,4] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[1,3],[4,5],[5]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[1,4],[3,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[1,4],[4,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[2,2],[3,3],[5]] => [5,3,4,1,2] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 2
[[2,2],[3,4],[5]] => [5,3,4,1,2] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 2
[[2,2],[3,5],[4]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[2,2],[3,5],[5]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[2,2],[4,4],[5]] => [5,3,4,1,2] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 2
[[2,2],[4,5],[5]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[2,3],[3,4],[5]] => [5,2,4,1,3] => [5,2,1,4,3] => ([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) => 1
[[2,3],[3,5],[4]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[2,3],[3,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[2,3],[4,4],[5]] => [5,3,4,1,2] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 2
[[2,4],[3,5],[4]] => [3,2,5,1,4] => [3,5,2,1,4] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[2,3],[4,5],[5]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[2,4],[3,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[2,4],[4,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[3,3],[4,4],[5]] => [5,3,4,1,2] => [3,1,5,4,2] => ([(0,3),(1,2),(1,4),(2,4),(3,4)],5) => 2
[[3,3],[4,5],[5]] => [4,3,5,1,2] => [4,3,1,5,2] => ([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) => 2
[[3,4],[4,5],[5]] => [4,2,5,1,3] => [2,4,1,5,3] => ([(0,4),(1,3),(2,3),(2,4)],5) => 2
[[1],[2],[3],[4],[5]] => [5,4,3,2,1] => [5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 1
[[1,1,1],[2,2,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,1,1],[2,3,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,1,1],[2,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,1,1],[3,3,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,1,1],[3,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,1,1],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,1,2],[2,2,4]] => [3,4,6,1,2,5] => [6,3,1,4,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => 1
[[1,1,2],[2,3,4]] => [3,5,6,1,2,4] => [5,1,6,3,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[[1,1,3],[2,2,4]] => [3,4,6,1,2,5] => [6,3,1,4,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => 1
[[1,1,2],[2,4,4]] => [3,5,6,1,2,4] => [5,1,6,3,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[[1,1,2],[3,3,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,1,3],[2,3,4]] => [3,4,6,1,2,5] => [6,3,1,4,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => 1
[[1,1,2],[3,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,1,3],[2,4,4]] => [3,5,6,1,2,4] => [5,1,6,3,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[[1,1,2],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,1,3],[3,3,4]] => [3,4,6,1,2,5] => [6,3,1,4,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => 1
[[1,1,3],[3,4,4]] => [3,5,6,1,2,4] => [5,1,6,3,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[[1,1,3],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,2,2],[2,3,4]] => [2,5,6,1,3,4] => [5,2,1,6,3,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => 2
[[1,2,2],[2,4,4]] => [2,5,6,1,3,4] => [5,2,1,6,3,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => 2
[[1,2,2],[3,3,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,2,3],[2,3,4]] => [2,4,6,1,3,5] => [6,4,2,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 1
[[1,2,2],[3,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,2,3],[2,4,4]] => [2,5,6,1,3,4] => [5,2,1,6,3,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => 2
[[1,2,2],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,2,3],[3,3,4]] => [3,4,6,1,2,5] => [6,3,1,4,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => 1
[[1,2,3],[3,4,4]] => [3,5,6,1,2,4] => [5,1,6,3,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[[1,3,3],[2,4,4]] => [2,5,6,1,3,4] => [5,2,1,6,3,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => 2
[[1,2,3],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,3,3],[3,4,4]] => [2,5,6,1,3,4] => [5,2,1,6,3,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => 2
[[1,3,3],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[2,2,2],[3,3,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[2,2,2],[3,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[2,2,2],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[2,2,3],[3,3,4]] => [3,4,6,1,2,5] => [6,3,1,4,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => 1
[[2,2,3],[3,4,4]] => [3,5,6,1,2,4] => [5,1,6,3,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[[2,2,3],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[2,3,3],[3,4,4]] => [2,5,6,1,3,4] => [5,2,1,6,3,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => 2
[[2,3,3],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[3,3,3],[4,4,4]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,1,2],[2,4],[3]] => [5,3,6,1,2,4] => [3,1,5,2,6,4] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[[1,1,2],[2,4],[4]] => [5,3,6,1,2,4] => [3,1,5,2,6,4] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[[1,1,3],[2,4],[3]] => [4,3,6,1,2,5] => [4,1,6,3,2,5] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[[1,1,3],[2,4],[4]] => [5,3,6,1,2,4] => [3,1,5,2,6,4] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[[1,1,3],[3,4],[4]] => [5,3,6,1,2,4] => [3,1,5,2,6,4] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[[1,2,2],[2,4],[3]] => [5,2,6,1,3,4] => [5,2,1,3,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 2
[[1,2,2],[2,4],[4]] => [5,2,6,1,3,4] => [5,2,1,3,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 2
[[1,2,3],[2,4],[3]] => [4,2,6,1,3,5] => [4,2,1,6,3,5] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 2
[[1,2,3],[2,4],[4]] => [5,2,6,1,3,4] => [5,2,1,3,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 2
[[1,3,3],[2,4],[3]] => [3,2,6,1,4,5] => [6,3,2,1,4,5] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 1
[[1,2,3],[3,4],[4]] => [5,3,6,1,2,4] => [3,1,5,2,6,4] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[[1,3,3],[2,4],[4]] => [5,2,6,1,3,4] => [5,2,1,3,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 2
[[1,3,3],[3,4],[4]] => [5,2,6,1,3,4] => [5,2,1,3,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 2
[[2,2,3],[3,4],[4]] => [5,3,6,1,2,4] => [3,1,5,2,6,4] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[[2,3,3],[3,4],[4]] => [5,2,6,1,3,4] => [5,2,1,3,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 2
[[1,1],[2,2],[3,4]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[[1,1],[2,2],[4,4]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[[1,1],[2,3],[3,4]] => [4,6,3,5,1,2] => [6,4,3,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 1
[[1,1],[2,3],[4,4]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[[1,1],[3,3],[4,4]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[[1,2],[2,3],[3,4]] => [4,6,2,5,1,3] => [4,6,2,1,5,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 2
[[1,2],[2,3],[4,4]] => [5,6,2,4,1,3] => [2,5,1,6,4,3] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 2
[[1,2],[3,3],[4,4]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[[2,2],[3,3],[4,4]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[[1,1],[2,2],[3],[4]] => [6,5,3,4,1,2] => [3,1,6,5,4,2] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[[1,1],[2,3],[3],[4]] => [6,4,3,5,1,2] => [4,3,1,6,5,2] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 2
[[1,1],[2,4],[3],[4]] => [5,4,3,6,1,2] => [5,4,3,1,6,2] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[[1,2],[2,3],[3],[4]] => [6,4,2,5,1,3] => [2,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 2
[[1,2],[2,4],[3],[4]] => [5,4,2,6,1,3] => [2,5,4,1,6,3] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[[1,3],[2,4],[3],[4]] => [5,3,2,6,1,4] => [3,2,5,1,6,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 2
[[1,1,2,2],[2,2,3]] => [3,4,7,1,2,5,6] => [3,1,7,4,2,5,6] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6),(5,6)],7) => 2
[[1,1,1],[2,2,2],[3]] => [7,4,5,6,1,2,3] => [4,1,5,2,7,6,3] => ([(0,5),(1,2),(1,6),(2,6),(3,4),(3,6),(4,5),(5,6)],7) => 2
[[1,1,1],[2,2,3],[3]] => [6,4,5,7,1,2,3] => [4,1,6,5,2,7,3] => ([(0,5),(1,6),(2,3),(2,4),(2,5),(3,4),(3,6),(4,6),(5,6)],7) => 2
[[1,1,1],[2,3,3],[3]] => [5,4,6,7,1,2,3] => [5,4,1,6,2,7,3] => ([(0,6),(1,4),(1,5),(2,3),(2,6),(3,4),(3,5),(4,5),(4,6),(5,6)],7) => 2
[[1,1,2],[2,2,3],[3]] => [6,3,4,7,1,2,5] => [3,4,1,6,2,7,5] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(4,5),(4,6)],7) => 3
[[1,1,2],[2,3,3],[3]] => [5,3,6,7,1,2,4] => [3,5,1,6,2,7,4] => ([(0,6),(1,2),(1,4),(2,5),(3,4),(3,6),(4,5),(5,6)],7) => 2
[[1,2,2],[2,3,3],[3]] => [5,2,6,7,1,3,4] => [5,6,2,1,3,7,4] => ([(0,4),(1,5),(1,6),(2,3),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => 2
[[1,1,2],[2,2],[3,3]] => [6,7,3,4,1,2,5] => [3,1,6,4,2,7,5] => ([(0,4),(1,3),(2,5),(2,6),(3,5),(4,6),(5,6)],7) => 3
[[1]] => [1] => [1] => ([],1) => 0
[[2]] => [1] => [1] => ([],1) => 0
[[3]] => [1] => [1] => ([],1) => 0
[[4]] => [1] => [1] => ([],1) => 0
[[5]] => [1] => [1] => ([],1) => 0
[[6]] => [1] => [1] => ([],1) => 0
[[1,2,5],[3,6],[4]] => [4,3,6,1,2,5] => [4,1,6,3,2,5] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[[1,2,4],[3,6],[5]] => [5,3,6,1,2,4] => [3,1,5,2,6,4] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 3
[[1,3,5],[2,4,6]] => [2,4,6,1,3,5] => [6,4,2,1,3,5] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 1
[[1,3,4],[2,5,6]] => [2,5,6,1,3,4] => [5,2,1,6,3,4] => ([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) => 2
[[1,3],[2,4],[5],[6]] => [6,5,2,4,1,3] => [6,2,1,5,4,3] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 1
[[1,3,5],[2,6],[4]] => [4,2,6,1,3,5] => [4,2,1,6,3,5] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 2
[[1,3,4],[2,6],[5]] => [5,2,6,1,3,4] => [5,2,1,3,6,4] => ([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) => 2
[[1,2,5],[3,4,6]] => [3,4,6,1,2,5] => [6,3,1,4,2,5] => ([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) => 1
[[1,2,4],[3,5,6]] => [3,5,6,1,2,4] => [5,1,6,3,2,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[[1,2],[3,4],[5],[6]] => [6,5,3,4,1,2] => [3,1,6,5,4,2] => ([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[[1,4,5],[2,6],[3]] => [3,2,6,1,4,5] => [6,3,2,1,4,5] => ([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 1
[[1,4],[2,5],[3,6]] => [3,6,2,5,1,4] => [3,6,5,2,1,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[[1,4],[2,5],[3],[6]] => [6,3,2,5,1,4] => [3,6,2,1,5,4] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 2
[[1,2,3],[4,5,6]] => [4,5,6,1,2,3] => [4,1,5,2,6,3] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 2
[[1,2],[3,5],[4],[6]] => [6,4,3,5,1,2] => [4,3,1,6,5,2] => ([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) => 2
[[1,3],[2,5],[4,6]] => [4,6,2,5,1,3] => [4,6,2,1,5,3] => ([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) => 2
[[1,3],[2,5],[4],[6]] => [6,4,2,5,1,3] => [2,4,1,6,5,3] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 2
[[1,2],[3,5],[4,6]] => [4,6,3,5,1,2] => [6,4,3,1,5,2] => ([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 1
[[1,5],[2,6],[3],[4]] => [4,3,2,6,1,5] => [4,3,6,2,1,5] => ([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[[1,2],[3,6],[4],[5]] => [5,4,3,6,1,2] => [5,4,3,1,6,2] => ([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[[1,3],[2,4],[5,6]] => [5,6,2,4,1,3] => [2,5,1,6,4,3] => ([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) => 2
[[1,3],[2,6],[4],[5]] => [5,4,2,6,1,3] => [2,5,4,1,6,3] => ([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) => 2
[[1,2],[3,4],[5,6]] => [5,6,3,4,1,2] => [5,3,1,6,4,2] => ([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 2
[[1,4],[2,6],[3],[5]] => [5,3,2,6,1,4] => [3,2,5,1,6,4] => ([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) => 2
[[1],[2],[3],[4],[5],[6]] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 1