Identifier
Mp00252:
Permutations
—restriction⟶
Permutations
Mp00059: Permutations —Robinson-Schensted insertion tableau⟶ Standard tableaux
Mp00084: Standard tableaux —conjugate⟶ Standard tableaux
Mp00059: Permutations —Robinson-Schensted insertion tableau⟶ Standard tableaux
Mp00084: Standard tableaux —conjugate⟶ Standard tableaux
Images
=>
Cc0007;cc-rep-2Cc0007;cc-rep-3
[1]=>[]=>[]=>[]
[1,2]=>[1]=>[[1]]=>[[1]]
[2,1]=>[1]=>[[1]]=>[[1]]
[1,2,3]=>[1,2]=>[[1,2]]=>[[1],[2]]
[1,3,2]=>[1,2]=>[[1,2]]=>[[1],[2]]
[2,1,3]=>[2,1]=>[[1],[2]]=>[[1,2]]
[2,3,1]=>[2,1]=>[[1],[2]]=>[[1,2]]
[3,1,2]=>[1,2]=>[[1,2]]=>[[1],[2]]
[3,2,1]=>[2,1]=>[[1],[2]]=>[[1,2]]
[1,2,3,4]=>[1,2,3]=>[[1,2,3]]=>[[1],[2],[3]]
[1,2,4,3]=>[1,2,3]=>[[1,2,3]]=>[[1],[2],[3]]
[1,3,2,4]=>[1,3,2]=>[[1,2],[3]]=>[[1,3],[2]]
[1,3,4,2]=>[1,3,2]=>[[1,2],[3]]=>[[1,3],[2]]
[1,4,2,3]=>[1,2,3]=>[[1,2,3]]=>[[1],[2],[3]]
[1,4,3,2]=>[1,3,2]=>[[1,2],[3]]=>[[1,3],[2]]
[2,1,3,4]=>[2,1,3]=>[[1,3],[2]]=>[[1,2],[3]]
[2,1,4,3]=>[2,1,3]=>[[1,3],[2]]=>[[1,2],[3]]
[2,3,1,4]=>[2,3,1]=>[[1,3],[2]]=>[[1,2],[3]]
[2,3,4,1]=>[2,3,1]=>[[1,3],[2]]=>[[1,2],[3]]
[2,4,1,3]=>[2,1,3]=>[[1,3],[2]]=>[[1,2],[3]]
[2,4,3,1]=>[2,3,1]=>[[1,3],[2]]=>[[1,2],[3]]
[3,1,2,4]=>[3,1,2]=>[[1,2],[3]]=>[[1,3],[2]]
[3,1,4,2]=>[3,1,2]=>[[1,2],[3]]=>[[1,3],[2]]
[3,2,1,4]=>[3,2,1]=>[[1],[2],[3]]=>[[1,2,3]]
[3,2,4,1]=>[3,2,1]=>[[1],[2],[3]]=>[[1,2,3]]
[3,4,1,2]=>[3,1,2]=>[[1,2],[3]]=>[[1,3],[2]]
[3,4,2,1]=>[3,2,1]=>[[1],[2],[3]]=>[[1,2,3]]
[4,1,2,3]=>[1,2,3]=>[[1,2,3]]=>[[1],[2],[3]]
[4,1,3,2]=>[1,3,2]=>[[1,2],[3]]=>[[1,3],[2]]
[4,2,1,3]=>[2,1,3]=>[[1,3],[2]]=>[[1,2],[3]]
[4,2,3,1]=>[2,3,1]=>[[1,3],[2]]=>[[1,2],[3]]
[4,3,1,2]=>[3,1,2]=>[[1,2],[3]]=>[[1,3],[2]]
[4,3,2,1]=>[3,2,1]=>[[1],[2],[3]]=>[[1,2,3]]
[1,2,3,4,5]=>[1,2,3,4]=>[[1,2,3,4]]=>[[1],[2],[3],[4]]
[1,2,3,5,4]=>[1,2,3,4]=>[[1,2,3,4]]=>[[1],[2],[3],[4]]
[1,2,4,3,5]=>[1,2,4,3]=>[[1,2,3],[4]]=>[[1,4],[2],[3]]
[1,2,4,5,3]=>[1,2,4,3]=>[[1,2,3],[4]]=>[[1,4],[2],[3]]
[1,2,5,3,4]=>[1,2,3,4]=>[[1,2,3,4]]=>[[1],[2],[3],[4]]
[1,2,5,4,3]=>[1,2,4,3]=>[[1,2,3],[4]]=>[[1,4],[2],[3]]
[1,3,2,4,5]=>[1,3,2,4]=>[[1,2,4],[3]]=>[[1,3],[2],[4]]
[1,3,2,5,4]=>[1,3,2,4]=>[[1,2,4],[3]]=>[[1,3],[2],[4]]
[1,3,4,2,5]=>[1,3,4,2]=>[[1,2,4],[3]]=>[[1,3],[2],[4]]
[1,3,4,5,2]=>[1,3,4,2]=>[[1,2,4],[3]]=>[[1,3],[2],[4]]
[1,3,5,2,4]=>[1,3,2,4]=>[[1,2,4],[3]]=>[[1,3],[2],[4]]
[1,3,5,4,2]=>[1,3,4,2]=>[[1,2,4],[3]]=>[[1,3],[2],[4]]
[1,4,2,3,5]=>[1,4,2,3]=>[[1,2,3],[4]]=>[[1,4],[2],[3]]
[1,4,2,5,3]=>[1,4,2,3]=>[[1,2,3],[4]]=>[[1,4],[2],[3]]
[1,4,3,2,5]=>[1,4,3,2]=>[[1,2],[3],[4]]=>[[1,3,4],[2]]
[1,4,3,5,2]=>[1,4,3,2]=>[[1,2],[3],[4]]=>[[1,3,4],[2]]
[1,4,5,2,3]=>[1,4,2,3]=>[[1,2,3],[4]]=>[[1,4],[2],[3]]
[1,4,5,3,2]=>[1,4,3,2]=>[[1,2],[3],[4]]=>[[1,3,4],[2]]
[1,5,2,3,4]=>[1,2,3,4]=>[[1,2,3,4]]=>[[1],[2],[3],[4]]
[1,5,2,4,3]=>[1,2,4,3]=>[[1,2,3],[4]]=>[[1,4],[2],[3]]
[1,5,3,2,4]=>[1,3,2,4]=>[[1,2,4],[3]]=>[[1,3],[2],[4]]
[1,5,3,4,2]=>[1,3,4,2]=>[[1,2,4],[3]]=>[[1,3],[2],[4]]
[1,5,4,2,3]=>[1,4,2,3]=>[[1,2,3],[4]]=>[[1,4],[2],[3]]
[1,5,4,3,2]=>[1,4,3,2]=>[[1,2],[3],[4]]=>[[1,3,4],[2]]
[2,1,3,4,5]=>[2,1,3,4]=>[[1,3,4],[2]]=>[[1,2],[3],[4]]
[2,1,3,5,4]=>[2,1,3,4]=>[[1,3,4],[2]]=>[[1,2],[3],[4]]
[2,1,4,3,5]=>[2,1,4,3]=>[[1,3],[2,4]]=>[[1,2],[3,4]]
[2,1,4,5,3]=>[2,1,4,3]=>[[1,3],[2,4]]=>[[1,2],[3,4]]
[2,1,5,3,4]=>[2,1,3,4]=>[[1,3,4],[2]]=>[[1,2],[3],[4]]
[2,1,5,4,3]=>[2,1,4,3]=>[[1,3],[2,4]]=>[[1,2],[3,4]]
[2,3,1,4,5]=>[2,3,1,4]=>[[1,3,4],[2]]=>[[1,2],[3],[4]]
[2,3,1,5,4]=>[2,3,1,4]=>[[1,3,4],[2]]=>[[1,2],[3],[4]]
[2,3,4,1,5]=>[2,3,4,1]=>[[1,3,4],[2]]=>[[1,2],[3],[4]]
[2,3,4,5,1]=>[2,3,4,1]=>[[1,3,4],[2]]=>[[1,2],[3],[4]]
[2,3,5,1,4]=>[2,3,1,4]=>[[1,3,4],[2]]=>[[1,2],[3],[4]]
[2,3,5,4,1]=>[2,3,4,1]=>[[1,3,4],[2]]=>[[1,2],[3],[4]]
[2,4,1,3,5]=>[2,4,1,3]=>[[1,3],[2,4]]=>[[1,2],[3,4]]
[2,4,1,5,3]=>[2,4,1,3]=>[[1,3],[2,4]]=>[[1,2],[3,4]]
[2,4,3,1,5]=>[2,4,3,1]=>[[1,3],[2],[4]]=>[[1,2,4],[3]]
[2,4,3,5,1]=>[2,4,3,1]=>[[1,3],[2],[4]]=>[[1,2,4],[3]]
[2,4,5,1,3]=>[2,4,1,3]=>[[1,3],[2,4]]=>[[1,2],[3,4]]
[2,4,5,3,1]=>[2,4,3,1]=>[[1,3],[2],[4]]=>[[1,2,4],[3]]
[2,5,1,3,4]=>[2,1,3,4]=>[[1,3,4],[2]]=>[[1,2],[3],[4]]
[2,5,1,4,3]=>[2,1,4,3]=>[[1,3],[2,4]]=>[[1,2],[3,4]]
[2,5,3,1,4]=>[2,3,1,4]=>[[1,3,4],[2]]=>[[1,2],[3],[4]]
[2,5,3,4,1]=>[2,3,4,1]=>[[1,3,4],[2]]=>[[1,2],[3],[4]]
[2,5,4,1,3]=>[2,4,1,3]=>[[1,3],[2,4]]=>[[1,2],[3,4]]
[2,5,4,3,1]=>[2,4,3,1]=>[[1,3],[2],[4]]=>[[1,2,4],[3]]
[3,1,2,4,5]=>[3,1,2,4]=>[[1,2,4],[3]]=>[[1,3],[2],[4]]
[3,1,2,5,4]=>[3,1,2,4]=>[[1,2,4],[3]]=>[[1,3],[2],[4]]
[3,1,4,2,5]=>[3,1,4,2]=>[[1,2],[3,4]]=>[[1,3],[2,4]]
[3,1,4,5,2]=>[3,1,4,2]=>[[1,2],[3,4]]=>[[1,3],[2,4]]
[3,1,5,2,4]=>[3,1,2,4]=>[[1,2,4],[3]]=>[[1,3],[2],[4]]
[3,1,5,4,2]=>[3,1,4,2]=>[[1,2],[3,4]]=>[[1,3],[2,4]]
[3,2,1,4,5]=>[3,2,1,4]=>[[1,4],[2],[3]]=>[[1,2,3],[4]]
[3,2,1,5,4]=>[3,2,1,4]=>[[1,4],[2],[3]]=>[[1,2,3],[4]]
[3,2,4,1,5]=>[3,2,4,1]=>[[1,4],[2],[3]]=>[[1,2,3],[4]]
[3,2,4,5,1]=>[3,2,4,1]=>[[1,4],[2],[3]]=>[[1,2,3],[4]]
[3,2,5,1,4]=>[3,2,1,4]=>[[1,4],[2],[3]]=>[[1,2,3],[4]]
[3,2,5,4,1]=>[3,2,4,1]=>[[1,4],[2],[3]]=>[[1,2,3],[4]]
[3,4,1,2,5]=>[3,4,1,2]=>[[1,2],[3,4]]=>[[1,3],[2,4]]
[3,4,1,5,2]=>[3,4,1,2]=>[[1,2],[3,4]]=>[[1,3],[2,4]]
[3,4,2,1,5]=>[3,4,2,1]=>[[1,4],[2],[3]]=>[[1,2,3],[4]]
[3,4,2,5,1]=>[3,4,2,1]=>[[1,4],[2],[3]]=>[[1,2,3],[4]]
[3,4,5,1,2]=>[3,4,1,2]=>[[1,2],[3,4]]=>[[1,3],[2,4]]
[3,4,5,2,1]=>[3,4,2,1]=>[[1,4],[2],[3]]=>[[1,2,3],[4]]
[3,5,1,2,4]=>[3,1,2,4]=>[[1,2,4],[3]]=>[[1,3],[2],[4]]
[3,5,1,4,2]=>[3,1,4,2]=>[[1,2],[3,4]]=>[[1,3],[2,4]]
[3,5,2,1,4]=>[3,2,1,4]=>[[1,4],[2],[3]]=>[[1,2,3],[4]]
[3,5,2,4,1]=>[3,2,4,1]=>[[1,4],[2],[3]]=>[[1,2,3],[4]]
[3,5,4,1,2]=>[3,4,1,2]=>[[1,2],[3,4]]=>[[1,3],[2,4]]
[3,5,4,2,1]=>[3,4,2,1]=>[[1,4],[2],[3]]=>[[1,2,3],[4]]
[4,1,2,3,5]=>[4,1,2,3]=>[[1,2,3],[4]]=>[[1,4],[2],[3]]
[4,1,2,5,3]=>[4,1,2,3]=>[[1,2,3],[4]]=>[[1,4],[2],[3]]
[4,1,3,2,5]=>[4,1,3,2]=>[[1,2],[3],[4]]=>[[1,3,4],[2]]
[4,1,3,5,2]=>[4,1,3,2]=>[[1,2],[3],[4]]=>[[1,3,4],[2]]
[4,1,5,2,3]=>[4,1,2,3]=>[[1,2,3],[4]]=>[[1,4],[2],[3]]
[4,1,5,3,2]=>[4,1,3,2]=>[[1,2],[3],[4]]=>[[1,3,4],[2]]
[4,2,1,3,5]=>[4,2,1,3]=>[[1,3],[2],[4]]=>[[1,2,4],[3]]
[4,2,1,5,3]=>[4,2,1,3]=>[[1,3],[2],[4]]=>[[1,2,4],[3]]
[4,2,3,1,5]=>[4,2,3,1]=>[[1,3],[2],[4]]=>[[1,2,4],[3]]
[4,2,3,5,1]=>[4,2,3,1]=>[[1,3],[2],[4]]=>[[1,2,4],[3]]
[4,2,5,1,3]=>[4,2,1,3]=>[[1,3],[2],[4]]=>[[1,2,4],[3]]
[4,2,5,3,1]=>[4,2,3,1]=>[[1,3],[2],[4]]=>[[1,2,4],[3]]
[4,3,1,2,5]=>[4,3,1,2]=>[[1,2],[3],[4]]=>[[1,3,4],[2]]
[4,3,1,5,2]=>[4,3,1,2]=>[[1,2],[3],[4]]=>[[1,3,4],[2]]
[4,3,2,1,5]=>[4,3,2,1]=>[[1],[2],[3],[4]]=>[[1,2,3,4]]
[4,3,2,5,1]=>[4,3,2,1]=>[[1],[2],[3],[4]]=>[[1,2,3,4]]
[4,3,5,1,2]=>[4,3,1,2]=>[[1,2],[3],[4]]=>[[1,3,4],[2]]
[4,3,5,2,1]=>[4,3,2,1]=>[[1],[2],[3],[4]]=>[[1,2,3,4]]
[4,5,1,2,3]=>[4,1,2,3]=>[[1,2,3],[4]]=>[[1,4],[2],[3]]
[4,5,1,3,2]=>[4,1,3,2]=>[[1,2],[3],[4]]=>[[1,3,4],[2]]
[4,5,2,1,3]=>[4,2,1,3]=>[[1,3],[2],[4]]=>[[1,2,4],[3]]
[4,5,2,3,1]=>[4,2,3,1]=>[[1,3],[2],[4]]=>[[1,2,4],[3]]
[4,5,3,1,2]=>[4,3,1,2]=>[[1,2],[3],[4]]=>[[1,3,4],[2]]
[4,5,3,2,1]=>[4,3,2,1]=>[[1],[2],[3],[4]]=>[[1,2,3,4]]
[5,1,2,3,4]=>[1,2,3,4]=>[[1,2,3,4]]=>[[1],[2],[3],[4]]
[5,1,2,4,3]=>[1,2,4,3]=>[[1,2,3],[4]]=>[[1,4],[2],[3]]
[5,1,3,2,4]=>[1,3,2,4]=>[[1,2,4],[3]]=>[[1,3],[2],[4]]
[5,1,3,4,2]=>[1,3,4,2]=>[[1,2,4],[3]]=>[[1,3],[2],[4]]
[5,1,4,2,3]=>[1,4,2,3]=>[[1,2,3],[4]]=>[[1,4],[2],[3]]
[5,1,4,3,2]=>[1,4,3,2]=>[[1,2],[3],[4]]=>[[1,3,4],[2]]
[5,2,1,3,4]=>[2,1,3,4]=>[[1,3,4],[2]]=>[[1,2],[3],[4]]
[5,2,1,4,3]=>[2,1,4,3]=>[[1,3],[2,4]]=>[[1,2],[3,4]]
[5,2,3,1,4]=>[2,3,1,4]=>[[1,3,4],[2]]=>[[1,2],[3],[4]]
[5,2,3,4,1]=>[2,3,4,1]=>[[1,3,4],[2]]=>[[1,2],[3],[4]]
[5,2,4,1,3]=>[2,4,1,3]=>[[1,3],[2,4]]=>[[1,2],[3,4]]
[5,2,4,3,1]=>[2,4,3,1]=>[[1,3],[2],[4]]=>[[1,2,4],[3]]
[5,3,1,2,4]=>[3,1,2,4]=>[[1,2,4],[3]]=>[[1,3],[2],[4]]
[5,3,1,4,2]=>[3,1,4,2]=>[[1,2],[3,4]]=>[[1,3],[2,4]]
[5,3,2,1,4]=>[3,2,1,4]=>[[1,4],[2],[3]]=>[[1,2,3],[4]]
[5,3,2,4,1]=>[3,2,4,1]=>[[1,4],[2],[3]]=>[[1,2,3],[4]]
[5,3,4,1,2]=>[3,4,1,2]=>[[1,2],[3,4]]=>[[1,3],[2,4]]
[5,3,4,2,1]=>[3,4,2,1]=>[[1,4],[2],[3]]=>[[1,2,3],[4]]
[5,4,1,2,3]=>[4,1,2,3]=>[[1,2,3],[4]]=>[[1,4],[2],[3]]
[5,4,1,3,2]=>[4,1,3,2]=>[[1,2],[3],[4]]=>[[1,3,4],[2]]
[5,4,2,1,3]=>[4,2,1,3]=>[[1,3],[2],[4]]=>[[1,2,4],[3]]
[5,4,2,3,1]=>[4,2,3,1]=>[[1,3],[2],[4]]=>[[1,2,4],[3]]
[5,4,3,1,2]=>[4,3,1,2]=>[[1,2],[3],[4]]=>[[1,3,4],[2]]
[5,4,3,2,1]=>[4,3,2,1]=>[[1],[2],[3],[4]]=>[[1,2,3,4]]
[1,2,3,4,5,6]=>[1,2,3,4,5]=>[[1,2,3,4,5]]=>[[1],[2],[3],[4],[5]]
[1,2,3,4,6,5]=>[1,2,3,4,5]=>[[1,2,3,4,5]]=>[[1],[2],[3],[4],[5]]
[1,2,3,5,4,6]=>[1,2,3,5,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[1,2,3,5,6,4]=>[1,2,3,5,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[1,2,3,6,4,5]=>[1,2,3,4,5]=>[[1,2,3,4,5]]=>[[1],[2],[3],[4],[5]]
[1,2,3,6,5,4]=>[1,2,3,5,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[1,2,4,3,5,6]=>[1,2,4,3,5]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[1,2,4,3,6,5]=>[1,2,4,3,5]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[1,2,4,5,3,6]=>[1,2,4,5,3]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[1,2,4,5,6,3]=>[1,2,4,5,3]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[1,2,4,6,3,5]=>[1,2,4,3,5]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[1,2,4,6,5,3]=>[1,2,4,5,3]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[1,2,5,3,4,6]=>[1,2,5,3,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[1,2,5,3,6,4]=>[1,2,5,3,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[1,2,5,4,3,6]=>[1,2,5,4,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[1,2,5,4,6,3]=>[1,2,5,4,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[1,2,5,6,3,4]=>[1,2,5,3,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[1,2,5,6,4,3]=>[1,2,5,4,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[1,2,6,3,4,5]=>[1,2,3,4,5]=>[[1,2,3,4,5]]=>[[1],[2],[3],[4],[5]]
[1,2,6,3,5,4]=>[1,2,3,5,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[1,2,6,4,3,5]=>[1,2,4,3,5]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[1,2,6,4,5,3]=>[1,2,4,5,3]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[1,2,6,5,3,4]=>[1,2,5,3,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[1,2,6,5,4,3]=>[1,2,5,4,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[1,3,2,4,5,6]=>[1,3,2,4,5]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[1,3,2,4,6,5]=>[1,3,2,4,5]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[1,3,2,5,4,6]=>[1,3,2,5,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[1,3,2,5,6,4]=>[1,3,2,5,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[1,3,2,6,4,5]=>[1,3,2,4,5]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[1,3,2,6,5,4]=>[1,3,2,5,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[1,3,4,2,5,6]=>[1,3,4,2,5]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[1,3,4,2,6,5]=>[1,3,4,2,5]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[1,3,4,5,2,6]=>[1,3,4,5,2]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[1,3,4,5,6,2]=>[1,3,4,5,2]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[1,3,4,6,2,5]=>[1,3,4,2,5]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[1,3,4,6,5,2]=>[1,3,4,5,2]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[1,3,5,2,4,6]=>[1,3,5,2,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[1,3,5,2,6,4]=>[1,3,5,2,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[1,3,5,4,2,6]=>[1,3,5,4,2]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[1,3,5,4,6,2]=>[1,3,5,4,2]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[1,3,5,6,2,4]=>[1,3,5,2,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[1,3,5,6,4,2]=>[1,3,5,4,2]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[1,3,6,2,4,5]=>[1,3,2,4,5]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[1,3,6,2,5,4]=>[1,3,2,5,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[1,3,6,4,2,5]=>[1,3,4,2,5]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[1,3,6,4,5,2]=>[1,3,4,5,2]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[1,3,6,5,2,4]=>[1,3,5,2,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[1,3,6,5,4,2]=>[1,3,5,4,2]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[1,4,2,3,5,6]=>[1,4,2,3,5]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[1,4,2,3,6,5]=>[1,4,2,3,5]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[1,4,2,5,3,6]=>[1,4,2,5,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[1,4,2,5,6,3]=>[1,4,2,5,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[1,4,2,6,3,5]=>[1,4,2,3,5]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[1,4,2,6,5,3]=>[1,4,2,5,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[1,4,3,2,5,6]=>[1,4,3,2,5]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[1,4,3,2,6,5]=>[1,4,3,2,5]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[1,4,3,5,2,6]=>[1,4,3,5,2]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[1,4,3,5,6,2]=>[1,4,3,5,2]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[1,4,3,6,2,5]=>[1,4,3,2,5]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[1,4,3,6,5,2]=>[1,4,3,5,2]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[1,4,5,2,3,6]=>[1,4,5,2,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[1,4,5,2,6,3]=>[1,4,5,2,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[1,4,5,3,2,6]=>[1,4,5,3,2]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[1,4,5,3,6,2]=>[1,4,5,3,2]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[1,4,5,6,2,3]=>[1,4,5,2,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[1,4,5,6,3,2]=>[1,4,5,3,2]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[1,4,6,2,3,5]=>[1,4,2,3,5]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[1,4,6,2,5,3]=>[1,4,2,5,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[1,4,6,3,2,5]=>[1,4,3,2,5]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[1,4,6,3,5,2]=>[1,4,3,5,2]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[1,4,6,5,2,3]=>[1,4,5,2,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[1,4,6,5,3,2]=>[1,4,5,3,2]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[1,5,2,3,4,6]=>[1,5,2,3,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[1,5,2,3,6,4]=>[1,5,2,3,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[1,5,2,4,3,6]=>[1,5,2,4,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[1,5,2,4,6,3]=>[1,5,2,4,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[1,5,2,6,3,4]=>[1,5,2,3,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[1,5,2,6,4,3]=>[1,5,2,4,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[1,5,3,2,4,6]=>[1,5,3,2,4]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[1,5,3,2,6,4]=>[1,5,3,2,4]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[1,5,3,4,2,6]=>[1,5,3,4,2]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[1,5,3,4,6,2]=>[1,5,3,4,2]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[1,5,3,6,2,4]=>[1,5,3,2,4]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[1,5,3,6,4,2]=>[1,5,3,4,2]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[1,5,4,2,3,6]=>[1,5,4,2,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[1,5,4,2,6,3]=>[1,5,4,2,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[1,5,4,3,2,6]=>[1,5,4,3,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[1,5,4,3,6,2]=>[1,5,4,3,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[1,5,4,6,2,3]=>[1,5,4,2,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[1,5,4,6,3,2]=>[1,5,4,3,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[1,5,6,2,3,4]=>[1,5,2,3,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[1,5,6,2,4,3]=>[1,5,2,4,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[1,5,6,3,2,4]=>[1,5,3,2,4]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[1,5,6,3,4,2]=>[1,5,3,4,2]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[1,5,6,4,2,3]=>[1,5,4,2,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[1,5,6,4,3,2]=>[1,5,4,3,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[1,6,2,3,4,5]=>[1,2,3,4,5]=>[[1,2,3,4,5]]=>[[1],[2],[3],[4],[5]]
[1,6,2,3,5,4]=>[1,2,3,5,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[1,6,2,4,3,5]=>[1,2,4,3,5]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[1,6,2,4,5,3]=>[1,2,4,5,3]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[1,6,2,5,3,4]=>[1,2,5,3,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[1,6,2,5,4,3]=>[1,2,5,4,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[1,6,3,2,4,5]=>[1,3,2,4,5]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[1,6,3,2,5,4]=>[1,3,2,5,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[1,6,3,4,2,5]=>[1,3,4,2,5]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[1,6,3,4,5,2]=>[1,3,4,5,2]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[1,6,3,5,2,4]=>[1,3,5,2,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[1,6,3,5,4,2]=>[1,3,5,4,2]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[1,6,4,2,3,5]=>[1,4,2,3,5]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[1,6,4,2,5,3]=>[1,4,2,5,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[1,6,4,3,2,5]=>[1,4,3,2,5]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[1,6,4,3,5,2]=>[1,4,3,5,2]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[1,6,4,5,2,3]=>[1,4,5,2,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[1,6,4,5,3,2]=>[1,4,5,3,2]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[1,6,5,2,3,4]=>[1,5,2,3,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[1,6,5,2,4,3]=>[1,5,2,4,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[1,6,5,3,2,4]=>[1,5,3,2,4]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[1,6,5,3,4,2]=>[1,5,3,4,2]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[1,6,5,4,2,3]=>[1,5,4,2,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[1,6,5,4,3,2]=>[1,5,4,3,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[2,1,3,4,5,6]=>[2,1,3,4,5]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,1,3,4,6,5]=>[2,1,3,4,5]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,1,3,5,4,6]=>[2,1,3,5,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,1,3,5,6,4]=>[2,1,3,5,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,1,3,6,4,5]=>[2,1,3,4,5]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,1,3,6,5,4]=>[2,1,3,5,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,1,4,3,5,6]=>[2,1,4,3,5]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,1,4,3,6,5]=>[2,1,4,3,5]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,1,4,5,3,6]=>[2,1,4,5,3]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,1,4,5,6,3]=>[2,1,4,5,3]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,1,4,6,3,5]=>[2,1,4,3,5]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,1,4,6,5,3]=>[2,1,4,5,3]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,1,5,3,4,6]=>[2,1,5,3,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,1,5,3,6,4]=>[2,1,5,3,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,1,5,4,3,6]=>[2,1,5,4,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[2,1,5,4,6,3]=>[2,1,5,4,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[2,1,5,6,3,4]=>[2,1,5,3,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,1,5,6,4,3]=>[2,1,5,4,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[2,1,6,3,4,5]=>[2,1,3,4,5]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,1,6,3,5,4]=>[2,1,3,5,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,1,6,4,3,5]=>[2,1,4,3,5]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,1,6,4,5,3]=>[2,1,4,5,3]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,1,6,5,3,4]=>[2,1,5,3,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,1,6,5,4,3]=>[2,1,5,4,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[2,3,1,4,5,6]=>[2,3,1,4,5]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,3,1,4,6,5]=>[2,3,1,4,5]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,3,1,5,4,6]=>[2,3,1,5,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,3,1,5,6,4]=>[2,3,1,5,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,3,1,6,4,5]=>[2,3,1,4,5]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,3,1,6,5,4]=>[2,3,1,5,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,3,4,1,5,6]=>[2,3,4,1,5]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,3,4,1,6,5]=>[2,3,4,1,5]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,3,4,5,1,6]=>[2,3,4,5,1]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,3,4,5,6,1]=>[2,3,4,5,1]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,3,4,6,1,5]=>[2,3,4,1,5]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,3,4,6,5,1]=>[2,3,4,5,1]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,3,5,1,4,6]=>[2,3,5,1,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,3,5,1,6,4]=>[2,3,5,1,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,3,5,4,1,6]=>[2,3,5,4,1]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[2,3,5,4,6,1]=>[2,3,5,4,1]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[2,3,5,6,1,4]=>[2,3,5,1,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,3,5,6,4,1]=>[2,3,5,4,1]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[2,3,6,1,4,5]=>[2,3,1,4,5]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,3,6,1,5,4]=>[2,3,1,5,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,3,6,4,1,5]=>[2,3,4,1,5]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,3,6,4,5,1]=>[2,3,4,5,1]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,3,6,5,1,4]=>[2,3,5,1,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,3,6,5,4,1]=>[2,3,5,4,1]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[2,4,1,3,5,6]=>[2,4,1,3,5]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,4,1,3,6,5]=>[2,4,1,3,5]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,4,1,5,3,6]=>[2,4,1,5,3]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,4,1,5,6,3]=>[2,4,1,5,3]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,4,1,6,3,5]=>[2,4,1,3,5]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,4,1,6,5,3]=>[2,4,1,5,3]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,4,3,1,5,6]=>[2,4,3,1,5]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[2,4,3,1,6,5]=>[2,4,3,1,5]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[2,4,3,5,1,6]=>[2,4,3,5,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[2,4,3,5,6,1]=>[2,4,3,5,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[2,4,3,6,1,5]=>[2,4,3,1,5]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[2,4,3,6,5,1]=>[2,4,3,5,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[2,4,5,1,3,6]=>[2,4,5,1,3]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,4,5,1,6,3]=>[2,4,5,1,3]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,4,5,3,1,6]=>[2,4,5,3,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[2,4,5,3,6,1]=>[2,4,5,3,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[2,4,5,6,1,3]=>[2,4,5,1,3]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,4,5,6,3,1]=>[2,4,5,3,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[2,4,6,1,3,5]=>[2,4,1,3,5]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,4,6,1,5,3]=>[2,4,1,5,3]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,4,6,3,1,5]=>[2,4,3,1,5]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[2,4,6,3,5,1]=>[2,4,3,5,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[2,4,6,5,1,3]=>[2,4,5,1,3]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,4,6,5,3,1]=>[2,4,5,3,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[2,5,1,3,4,6]=>[2,5,1,3,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,5,1,3,6,4]=>[2,5,1,3,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,5,1,4,3,6]=>[2,5,1,4,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[2,5,1,4,6,3]=>[2,5,1,4,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[2,5,1,6,3,4]=>[2,5,1,3,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,5,1,6,4,3]=>[2,5,1,4,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[2,5,3,1,4,6]=>[2,5,3,1,4]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[2,5,3,1,6,4]=>[2,5,3,1,4]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[2,5,3,4,1,6]=>[2,5,3,4,1]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[2,5,3,4,6,1]=>[2,5,3,4,1]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[2,5,3,6,1,4]=>[2,5,3,1,4]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[2,5,3,6,4,1]=>[2,5,3,4,1]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[2,5,4,1,3,6]=>[2,5,4,1,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[2,5,4,1,6,3]=>[2,5,4,1,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[2,5,4,3,1,6]=>[2,5,4,3,1]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[2,5,4,3,6,1]=>[2,5,4,3,1]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[2,5,4,6,1,3]=>[2,5,4,1,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[2,5,4,6,3,1]=>[2,5,4,3,1]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[2,5,6,1,3,4]=>[2,5,1,3,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,5,6,1,4,3]=>[2,5,1,4,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[2,5,6,3,1,4]=>[2,5,3,1,4]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[2,5,6,3,4,1]=>[2,5,3,4,1]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[2,5,6,4,1,3]=>[2,5,4,1,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[2,5,6,4,3,1]=>[2,5,4,3,1]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[2,6,1,3,4,5]=>[2,1,3,4,5]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,6,1,3,5,4]=>[2,1,3,5,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,6,1,4,3,5]=>[2,1,4,3,5]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,6,1,4,5,3]=>[2,1,4,5,3]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,6,1,5,3,4]=>[2,1,5,3,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,6,1,5,4,3]=>[2,1,5,4,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[2,6,3,1,4,5]=>[2,3,1,4,5]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,6,3,1,5,4]=>[2,3,1,5,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,6,3,4,1,5]=>[2,3,4,1,5]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,6,3,4,5,1]=>[2,3,4,5,1]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[2,6,3,5,1,4]=>[2,3,5,1,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,6,3,5,4,1]=>[2,3,5,4,1]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[2,6,4,1,3,5]=>[2,4,1,3,5]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,6,4,1,5,3]=>[2,4,1,5,3]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,6,4,3,1,5]=>[2,4,3,1,5]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[2,6,4,3,5,1]=>[2,4,3,5,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[2,6,4,5,1,3]=>[2,4,5,1,3]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[2,6,4,5,3,1]=>[2,4,5,3,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[2,6,5,1,3,4]=>[2,5,1,3,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[2,6,5,1,4,3]=>[2,5,1,4,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[2,6,5,3,1,4]=>[2,5,3,1,4]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[2,6,5,3,4,1]=>[2,5,3,4,1]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[2,6,5,4,1,3]=>[2,5,4,1,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[2,6,5,4,3,1]=>[2,5,4,3,1]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[3,1,2,4,5,6]=>[3,1,2,4,5]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[3,1,2,4,6,5]=>[3,1,2,4,5]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[3,1,2,5,4,6]=>[3,1,2,5,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[3,1,2,5,6,4]=>[3,1,2,5,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[3,1,2,6,4,5]=>[3,1,2,4,5]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[3,1,2,6,5,4]=>[3,1,2,5,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[3,1,4,2,5,6]=>[3,1,4,2,5]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,1,4,2,6,5]=>[3,1,4,2,5]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,1,4,5,2,6]=>[3,1,4,5,2]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,1,4,5,6,2]=>[3,1,4,5,2]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,1,4,6,2,5]=>[3,1,4,2,5]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,1,4,6,5,2]=>[3,1,4,5,2]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,1,5,2,4,6]=>[3,1,5,2,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[3,1,5,2,6,4]=>[3,1,5,2,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[3,1,5,4,2,6]=>[3,1,5,4,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[3,1,5,4,6,2]=>[3,1,5,4,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[3,1,5,6,2,4]=>[3,1,5,2,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[3,1,5,6,4,2]=>[3,1,5,4,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[3,1,6,2,4,5]=>[3,1,2,4,5]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[3,1,6,2,5,4]=>[3,1,2,5,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[3,1,6,4,2,5]=>[3,1,4,2,5]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,1,6,4,5,2]=>[3,1,4,5,2]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,1,6,5,2,4]=>[3,1,5,2,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[3,1,6,5,4,2]=>[3,1,5,4,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[3,2,1,4,5,6]=>[3,2,1,4,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,2,1,4,6,5]=>[3,2,1,4,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,2,1,5,4,6]=>[3,2,1,5,4]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,2,1,5,6,4]=>[3,2,1,5,4]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,2,1,6,4,5]=>[3,2,1,4,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,2,1,6,5,4]=>[3,2,1,5,4]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,2,4,1,5,6]=>[3,2,4,1,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,2,4,1,6,5]=>[3,2,4,1,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,2,4,5,1,6]=>[3,2,4,5,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,2,4,5,6,1]=>[3,2,4,5,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,2,4,6,1,5]=>[3,2,4,1,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,2,4,6,5,1]=>[3,2,4,5,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,2,5,1,4,6]=>[3,2,5,1,4]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,2,5,1,6,4]=>[3,2,5,1,4]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,2,5,4,1,6]=>[3,2,5,4,1]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,2,5,4,6,1]=>[3,2,5,4,1]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,2,5,6,1,4]=>[3,2,5,1,4]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,2,5,6,4,1]=>[3,2,5,4,1]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,2,6,1,4,5]=>[3,2,1,4,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,2,6,1,5,4]=>[3,2,1,5,4]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,2,6,4,1,5]=>[3,2,4,1,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,2,6,4,5,1]=>[3,2,4,5,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,2,6,5,1,4]=>[3,2,5,1,4]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,2,6,5,4,1]=>[3,2,5,4,1]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,4,1,2,5,6]=>[3,4,1,2,5]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,4,1,2,6,5]=>[3,4,1,2,5]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,4,1,5,2,6]=>[3,4,1,5,2]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,4,1,5,6,2]=>[3,4,1,5,2]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,4,1,6,2,5]=>[3,4,1,2,5]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,4,1,6,5,2]=>[3,4,1,5,2]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,4,2,1,5,6]=>[3,4,2,1,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,4,2,1,6,5]=>[3,4,2,1,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,4,2,5,1,6]=>[3,4,2,5,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,4,2,5,6,1]=>[3,4,2,5,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,4,2,6,1,5]=>[3,4,2,1,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,4,2,6,5,1]=>[3,4,2,5,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,4,5,1,2,6]=>[3,4,5,1,2]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,4,5,1,6,2]=>[3,4,5,1,2]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,4,5,2,1,6]=>[3,4,5,2,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,4,5,2,6,1]=>[3,4,5,2,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,4,5,6,1,2]=>[3,4,5,1,2]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,4,5,6,2,1]=>[3,4,5,2,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,4,6,1,2,5]=>[3,4,1,2,5]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,4,6,1,5,2]=>[3,4,1,5,2]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,4,6,2,1,5]=>[3,4,2,1,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,4,6,2,5,1]=>[3,4,2,5,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,4,6,5,1,2]=>[3,4,5,1,2]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,4,6,5,2,1]=>[3,4,5,2,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,5,1,2,4,6]=>[3,5,1,2,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[3,5,1,2,6,4]=>[3,5,1,2,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[3,5,1,4,2,6]=>[3,5,1,4,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[3,5,1,4,6,2]=>[3,5,1,4,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[3,5,1,6,2,4]=>[3,5,1,2,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[3,5,1,6,4,2]=>[3,5,1,4,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[3,5,2,1,4,6]=>[3,5,2,1,4]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,5,2,1,6,4]=>[3,5,2,1,4]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,5,2,4,1,6]=>[3,5,2,4,1]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,5,2,4,6,1]=>[3,5,2,4,1]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,5,2,6,1,4]=>[3,5,2,1,4]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,5,2,6,4,1]=>[3,5,2,4,1]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,5,4,1,2,6]=>[3,5,4,1,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[3,5,4,1,6,2]=>[3,5,4,1,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[3,5,4,2,1,6]=>[3,5,4,2,1]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[3,5,4,2,6,1]=>[3,5,4,2,1]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[3,5,4,6,1,2]=>[3,5,4,1,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[3,5,4,6,2,1]=>[3,5,4,2,1]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[3,5,6,1,2,4]=>[3,5,1,2,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[3,5,6,1,4,2]=>[3,5,1,4,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[3,5,6,2,1,4]=>[3,5,2,1,4]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,5,6,2,4,1]=>[3,5,2,4,1]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,5,6,4,1,2]=>[3,5,4,1,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[3,5,6,4,2,1]=>[3,5,4,2,1]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[3,6,1,2,4,5]=>[3,1,2,4,5]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[3,6,1,2,5,4]=>[3,1,2,5,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[3,6,1,4,2,5]=>[3,1,4,2,5]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,6,1,4,5,2]=>[3,1,4,5,2]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,6,1,5,2,4]=>[3,1,5,2,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[3,6,1,5,4,2]=>[3,1,5,4,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[3,6,2,1,4,5]=>[3,2,1,4,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,6,2,1,5,4]=>[3,2,1,5,4]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,6,2,4,1,5]=>[3,2,4,1,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,6,2,4,5,1]=>[3,2,4,5,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,6,2,5,1,4]=>[3,2,5,1,4]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,6,2,5,4,1]=>[3,2,5,4,1]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,6,4,1,2,5]=>[3,4,1,2,5]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,6,4,1,5,2]=>[3,4,1,5,2]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,6,4,2,1,5]=>[3,4,2,1,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,6,4,2,5,1]=>[3,4,2,5,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,6,4,5,1,2]=>[3,4,5,1,2]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[3,6,4,5,2,1]=>[3,4,5,2,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[3,6,5,1,2,4]=>[3,5,1,2,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[3,6,5,1,4,2]=>[3,5,1,4,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[3,6,5,2,1,4]=>[3,5,2,1,4]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,6,5,2,4,1]=>[3,5,2,4,1]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[3,6,5,4,1,2]=>[3,5,4,1,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[3,6,5,4,2,1]=>[3,5,4,2,1]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[4,1,2,3,5,6]=>[4,1,2,3,5]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[4,1,2,3,6,5]=>[4,1,2,3,5]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[4,1,2,5,3,6]=>[4,1,2,5,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[4,1,2,5,6,3]=>[4,1,2,5,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[4,1,2,6,3,5]=>[4,1,2,3,5]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[4,1,2,6,5,3]=>[4,1,2,5,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[4,1,3,2,5,6]=>[4,1,3,2,5]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[4,1,3,2,6,5]=>[4,1,3,2,5]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[4,1,3,5,2,6]=>[4,1,3,5,2]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[4,1,3,5,6,2]=>[4,1,3,5,2]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[4,1,3,6,2,5]=>[4,1,3,2,5]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[4,1,3,6,5,2]=>[4,1,3,5,2]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[4,1,5,2,3,6]=>[4,1,5,2,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[4,1,5,2,6,3]=>[4,1,5,2,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[4,1,5,3,2,6]=>[4,1,5,3,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,1,5,3,6,2]=>[4,1,5,3,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,1,5,6,2,3]=>[4,1,5,2,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[4,1,5,6,3,2]=>[4,1,5,3,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,1,6,2,3,5]=>[4,1,2,3,5]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[4,1,6,2,5,3]=>[4,1,2,5,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[4,1,6,3,2,5]=>[4,1,3,2,5]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[4,1,6,3,5,2]=>[4,1,3,5,2]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[4,1,6,5,2,3]=>[4,1,5,2,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[4,1,6,5,3,2]=>[4,1,5,3,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,2,1,3,5,6]=>[4,2,1,3,5]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[4,2,1,3,6,5]=>[4,2,1,3,5]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[4,2,1,5,3,6]=>[4,2,1,5,3]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,2,1,5,6,3]=>[4,2,1,5,3]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,2,1,6,3,5]=>[4,2,1,3,5]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[4,2,1,6,5,3]=>[4,2,1,5,3]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,2,3,1,5,6]=>[4,2,3,1,5]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[4,2,3,1,6,5]=>[4,2,3,1,5]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[4,2,3,5,1,6]=>[4,2,3,5,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[4,2,3,5,6,1]=>[4,2,3,5,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[4,2,3,6,1,5]=>[4,2,3,1,5]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[4,2,3,6,5,1]=>[4,2,3,5,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[4,2,5,1,3,6]=>[4,2,5,1,3]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,2,5,1,6,3]=>[4,2,5,1,3]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,2,5,3,1,6]=>[4,2,5,3,1]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,2,5,3,6,1]=>[4,2,5,3,1]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,2,5,6,1,3]=>[4,2,5,1,3]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,2,5,6,3,1]=>[4,2,5,3,1]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,2,6,1,3,5]=>[4,2,1,3,5]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[4,2,6,1,5,3]=>[4,2,1,5,3]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,2,6,3,1,5]=>[4,2,3,1,5]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[4,2,6,3,5,1]=>[4,2,3,5,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[4,2,6,5,1,3]=>[4,2,5,1,3]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,2,6,5,3,1]=>[4,2,5,3,1]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,3,1,2,5,6]=>[4,3,1,2,5]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[4,3,1,2,6,5]=>[4,3,1,2,5]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[4,3,1,5,2,6]=>[4,3,1,5,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,3,1,5,6,2]=>[4,3,1,5,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,3,1,6,2,5]=>[4,3,1,2,5]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[4,3,1,6,5,2]=>[4,3,1,5,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,3,2,1,5,6]=>[4,3,2,1,5]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[4,3,2,1,6,5]=>[4,3,2,1,5]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[4,3,2,5,1,6]=>[4,3,2,5,1]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[4,3,2,5,6,1]=>[4,3,2,5,1]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[4,3,2,6,1,5]=>[4,3,2,1,5]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[4,3,2,6,5,1]=>[4,3,2,5,1]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[4,3,5,1,2,6]=>[4,3,5,1,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,3,5,1,6,2]=>[4,3,5,1,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,3,5,2,1,6]=>[4,3,5,2,1]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[4,3,5,2,6,1]=>[4,3,5,2,1]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[4,3,5,6,1,2]=>[4,3,5,1,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,3,5,6,2,1]=>[4,3,5,2,1]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[4,3,6,1,2,5]=>[4,3,1,2,5]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[4,3,6,1,5,2]=>[4,3,1,5,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,3,6,2,1,5]=>[4,3,2,1,5]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[4,3,6,2,5,1]=>[4,3,2,5,1]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[4,3,6,5,1,2]=>[4,3,5,1,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,3,6,5,2,1]=>[4,3,5,2,1]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[4,5,1,2,3,6]=>[4,5,1,2,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[4,5,1,2,6,3]=>[4,5,1,2,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[4,5,1,3,2,6]=>[4,5,1,3,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,5,1,3,6,2]=>[4,5,1,3,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,5,1,6,2,3]=>[4,5,1,2,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[4,5,1,6,3,2]=>[4,5,1,3,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,5,2,1,3,6]=>[4,5,2,1,3]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,5,2,1,6,3]=>[4,5,2,1,3]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,5,2,3,1,6]=>[4,5,2,3,1]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,5,2,3,6,1]=>[4,5,2,3,1]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,5,2,6,1,3]=>[4,5,2,1,3]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,5,2,6,3,1]=>[4,5,2,3,1]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,5,3,1,2,6]=>[4,5,3,1,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,5,3,1,6,2]=>[4,5,3,1,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,5,3,2,1,6]=>[4,5,3,2,1]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[4,5,3,2,6,1]=>[4,5,3,2,1]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[4,5,3,6,1,2]=>[4,5,3,1,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,5,3,6,2,1]=>[4,5,3,2,1]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[4,5,6,1,2,3]=>[4,5,1,2,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[4,5,6,1,3,2]=>[4,5,1,3,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,5,6,2,1,3]=>[4,5,2,1,3]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,5,6,2,3,1]=>[4,5,2,3,1]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,5,6,3,1,2]=>[4,5,3,1,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,5,6,3,2,1]=>[4,5,3,2,1]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[4,6,1,2,3,5]=>[4,1,2,3,5]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[4,6,1,2,5,3]=>[4,1,2,5,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[4,6,1,3,2,5]=>[4,1,3,2,5]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[4,6,1,3,5,2]=>[4,1,3,5,2]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[4,6,1,5,2,3]=>[4,1,5,2,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[4,6,1,5,3,2]=>[4,1,5,3,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,6,2,1,3,5]=>[4,2,1,3,5]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[4,6,2,1,5,3]=>[4,2,1,5,3]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,6,2,3,1,5]=>[4,2,3,1,5]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[4,6,2,3,5,1]=>[4,2,3,5,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[4,6,2,5,1,3]=>[4,2,5,1,3]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,6,2,5,3,1]=>[4,2,5,3,1]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,6,3,1,2,5]=>[4,3,1,2,5]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[4,6,3,1,5,2]=>[4,3,1,5,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,6,3,2,1,5]=>[4,3,2,1,5]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[4,6,3,2,5,1]=>[4,3,2,5,1]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[4,6,3,5,1,2]=>[4,3,5,1,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,6,3,5,2,1]=>[4,3,5,2,1]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[4,6,5,1,2,3]=>[4,5,1,2,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[4,6,5,1,3,2]=>[4,5,1,3,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,6,5,2,1,3]=>[4,5,2,1,3]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,6,5,2,3,1]=>[4,5,2,3,1]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[4,6,5,3,1,2]=>[4,5,3,1,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[4,6,5,3,2,1]=>[4,5,3,2,1]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[5,1,2,3,4,6]=>[5,1,2,3,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[5,1,2,3,6,4]=>[5,1,2,3,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[5,1,2,4,3,6]=>[5,1,2,4,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[5,1,2,4,6,3]=>[5,1,2,4,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[5,1,2,6,3,4]=>[5,1,2,3,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[5,1,2,6,4,3]=>[5,1,2,4,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[5,1,3,2,4,6]=>[5,1,3,2,4]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[5,1,3,2,6,4]=>[5,1,3,2,4]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[5,1,3,4,2,6]=>[5,1,3,4,2]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[5,1,3,4,6,2]=>[5,1,3,4,2]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[5,1,3,6,2,4]=>[5,1,3,2,4]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[5,1,3,6,4,2]=>[5,1,3,4,2]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[5,1,4,2,3,6]=>[5,1,4,2,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[5,1,4,2,6,3]=>[5,1,4,2,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[5,1,4,3,2,6]=>[5,1,4,3,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[5,1,4,3,6,2]=>[5,1,4,3,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[5,1,4,6,2,3]=>[5,1,4,2,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[5,1,4,6,3,2]=>[5,1,4,3,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[5,1,6,2,3,4]=>[5,1,2,3,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[5,1,6,2,4,3]=>[5,1,2,4,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[5,1,6,3,2,4]=>[5,1,3,2,4]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[5,1,6,3,4,2]=>[5,1,3,4,2]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[5,1,6,4,2,3]=>[5,1,4,2,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[5,1,6,4,3,2]=>[5,1,4,3,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[5,2,1,3,4,6]=>[5,2,1,3,4]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[5,2,1,3,6,4]=>[5,2,1,3,4]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[5,2,1,4,3,6]=>[5,2,1,4,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[5,2,1,4,6,3]=>[5,2,1,4,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[5,2,1,6,3,4]=>[5,2,1,3,4]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[5,2,1,6,4,3]=>[5,2,1,4,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[5,2,3,1,4,6]=>[5,2,3,1,4]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[5,2,3,1,6,4]=>[5,2,3,1,4]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[5,2,3,4,1,6]=>[5,2,3,4,1]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[5,2,3,4,6,1]=>[5,2,3,4,1]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[5,2,3,6,1,4]=>[5,2,3,1,4]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[5,2,3,6,4,1]=>[5,2,3,4,1]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[5,2,4,1,3,6]=>[5,2,4,1,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[5,2,4,1,6,3]=>[5,2,4,1,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[5,2,4,3,1,6]=>[5,2,4,3,1]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[5,2,4,3,6,1]=>[5,2,4,3,1]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[5,2,4,6,1,3]=>[5,2,4,1,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[5,2,4,6,3,1]=>[5,2,4,3,1]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[5,2,6,1,3,4]=>[5,2,1,3,4]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[5,2,6,1,4,3]=>[5,2,1,4,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[5,2,6,3,1,4]=>[5,2,3,1,4]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[5,2,6,3,4,1]=>[5,2,3,4,1]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[5,2,6,4,1,3]=>[5,2,4,1,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[5,2,6,4,3,1]=>[5,2,4,3,1]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[5,3,1,2,4,6]=>[5,3,1,2,4]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[5,3,1,2,6,4]=>[5,3,1,2,4]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[5,3,1,4,2,6]=>[5,3,1,4,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[5,3,1,4,6,2]=>[5,3,1,4,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[5,3,1,6,2,4]=>[5,3,1,2,4]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[5,3,1,6,4,2]=>[5,3,1,4,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[5,3,2,1,4,6]=>[5,3,2,1,4]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[5,3,2,1,6,4]=>[5,3,2,1,4]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[5,3,2,4,1,6]=>[5,3,2,4,1]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[5,3,2,4,6,1]=>[5,3,2,4,1]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[5,3,2,6,1,4]=>[5,3,2,1,4]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[5,3,2,6,4,1]=>[5,3,2,4,1]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[5,3,4,1,2,6]=>[5,3,4,1,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[5,3,4,1,6,2]=>[5,3,4,1,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[5,3,4,2,1,6]=>[5,3,4,2,1]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[5,3,4,2,6,1]=>[5,3,4,2,1]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[5,3,4,6,1,2]=>[5,3,4,1,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[5,3,4,6,2,1]=>[5,3,4,2,1]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[5,3,6,1,2,4]=>[5,3,1,2,4]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[5,3,6,1,4,2]=>[5,3,1,4,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[5,3,6,2,1,4]=>[5,3,2,1,4]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[5,3,6,2,4,1]=>[5,3,2,4,1]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[5,3,6,4,1,2]=>[5,3,4,1,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[5,3,6,4,2,1]=>[5,3,4,2,1]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[5,4,1,2,3,6]=>[5,4,1,2,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[5,4,1,2,6,3]=>[5,4,1,2,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[5,4,1,3,2,6]=>[5,4,1,3,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[5,4,1,3,6,2]=>[5,4,1,3,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[5,4,1,6,2,3]=>[5,4,1,2,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[5,4,1,6,3,2]=>[5,4,1,3,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[5,4,2,1,3,6]=>[5,4,2,1,3]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[5,4,2,1,6,3]=>[5,4,2,1,3]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[5,4,2,3,1,6]=>[5,4,2,3,1]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[5,4,2,3,6,1]=>[5,4,2,3,1]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[5,4,2,6,1,3]=>[5,4,2,1,3]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[5,4,2,6,3,1]=>[5,4,2,3,1]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[5,4,3,1,2,6]=>[5,4,3,1,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[5,4,3,1,6,2]=>[5,4,3,1,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[5,4,3,2,1,6]=>[5,4,3,2,1]=>[[1],[2],[3],[4],[5]]=>[[1,2,3,4,5]]
[5,4,3,2,6,1]=>[5,4,3,2,1]=>[[1],[2],[3],[4],[5]]=>[[1,2,3,4,5]]
[5,4,3,6,1,2]=>[5,4,3,1,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[5,4,3,6,2,1]=>[5,4,3,2,1]=>[[1],[2],[3],[4],[5]]=>[[1,2,3,4,5]]
[5,4,6,1,2,3]=>[5,4,1,2,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[5,4,6,1,3,2]=>[5,4,1,3,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[5,4,6,2,1,3]=>[5,4,2,1,3]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[5,4,6,2,3,1]=>[5,4,2,3,1]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[5,4,6,3,1,2]=>[5,4,3,1,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[5,4,6,3,2,1]=>[5,4,3,2,1]=>[[1],[2],[3],[4],[5]]=>[[1,2,3,4,5]]
[5,6,1,2,3,4]=>[5,1,2,3,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[5,6,1,2,4,3]=>[5,1,2,4,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[5,6,1,3,2,4]=>[5,1,3,2,4]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[5,6,1,3,4,2]=>[5,1,3,4,2]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[5,6,1,4,2,3]=>[5,1,4,2,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[5,6,1,4,3,2]=>[5,1,4,3,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[5,6,2,1,3,4]=>[5,2,1,3,4]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[5,6,2,1,4,3]=>[5,2,1,4,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[5,6,2,3,1,4]=>[5,2,3,1,4]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[5,6,2,3,4,1]=>[5,2,3,4,1]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[5,6,2,4,1,3]=>[5,2,4,1,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[5,6,2,4,3,1]=>[5,2,4,3,1]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[5,6,3,1,2,4]=>[5,3,1,2,4]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[5,6,3,1,4,2]=>[5,3,1,4,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[5,6,3,2,1,4]=>[5,3,2,1,4]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[5,6,3,2,4,1]=>[5,3,2,4,1]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[5,6,3,4,1,2]=>[5,3,4,1,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[5,6,3,4,2,1]=>[5,3,4,2,1]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[5,6,4,1,2,3]=>[5,4,1,2,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[5,6,4,1,3,2]=>[5,4,1,3,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[5,6,4,2,1,3]=>[5,4,2,1,3]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[5,6,4,2,3,1]=>[5,4,2,3,1]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[5,6,4,3,1,2]=>[5,4,3,1,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[5,6,4,3,2,1]=>[5,4,3,2,1]=>[[1],[2],[3],[4],[5]]=>[[1,2,3,4,5]]
[6,1,2,3,4,5]=>[1,2,3,4,5]=>[[1,2,3,4,5]]=>[[1],[2],[3],[4],[5]]
[6,1,2,3,5,4]=>[1,2,3,5,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[6,1,2,4,3,5]=>[1,2,4,3,5]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[6,1,2,4,5,3]=>[1,2,4,5,3]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[6,1,2,5,3,4]=>[1,2,5,3,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[6,1,2,5,4,3]=>[1,2,5,4,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[6,1,3,2,4,5]=>[1,3,2,4,5]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[6,1,3,2,5,4]=>[1,3,2,5,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[6,1,3,4,2,5]=>[1,3,4,2,5]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[6,1,3,4,5,2]=>[1,3,4,5,2]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[6,1,3,5,2,4]=>[1,3,5,2,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[6,1,3,5,4,2]=>[1,3,5,4,2]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[6,1,4,2,3,5]=>[1,4,2,3,5]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[6,1,4,2,5,3]=>[1,4,2,5,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[6,1,4,3,2,5]=>[1,4,3,2,5]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[6,1,4,3,5,2]=>[1,4,3,5,2]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[6,1,4,5,2,3]=>[1,4,5,2,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[6,1,4,5,3,2]=>[1,4,5,3,2]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[6,1,5,2,3,4]=>[1,5,2,3,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[6,1,5,2,4,3]=>[1,5,2,4,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[6,1,5,3,2,4]=>[1,5,3,2,4]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[6,1,5,3,4,2]=>[1,5,3,4,2]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[6,1,5,4,2,3]=>[1,5,4,2,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[6,1,5,4,3,2]=>[1,5,4,3,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[6,2,1,3,4,5]=>[2,1,3,4,5]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[6,2,1,3,5,4]=>[2,1,3,5,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[6,2,1,4,3,5]=>[2,1,4,3,5]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[6,2,1,4,5,3]=>[2,1,4,5,3]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[6,2,1,5,3,4]=>[2,1,5,3,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[6,2,1,5,4,3]=>[2,1,5,4,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[6,2,3,1,4,5]=>[2,3,1,4,5]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[6,2,3,1,5,4]=>[2,3,1,5,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[6,2,3,4,1,5]=>[2,3,4,1,5]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[6,2,3,4,5,1]=>[2,3,4,5,1]=>[[1,3,4,5],[2]]=>[[1,2],[3],[4],[5]]
[6,2,3,5,1,4]=>[2,3,5,1,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[6,2,3,5,4,1]=>[2,3,5,4,1]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[6,2,4,1,3,5]=>[2,4,1,3,5]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[6,2,4,1,5,3]=>[2,4,1,5,3]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[6,2,4,3,1,5]=>[2,4,3,1,5]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[6,2,4,3,5,1]=>[2,4,3,5,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[6,2,4,5,1,3]=>[2,4,5,1,3]=>[[1,3,5],[2,4]]=>[[1,2],[3,4],[5]]
[6,2,4,5,3,1]=>[2,4,5,3,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[6,2,5,1,3,4]=>[2,5,1,3,4]=>[[1,3,4],[2,5]]=>[[1,2],[3,5],[4]]
[6,2,5,1,4,3]=>[2,5,1,4,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[6,2,5,3,1,4]=>[2,5,3,1,4]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[6,2,5,3,4,1]=>[2,5,3,4,1]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[6,2,5,4,1,3]=>[2,5,4,1,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[6,2,5,4,3,1]=>[2,5,4,3,1]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[6,3,1,2,4,5]=>[3,1,2,4,5]=>[[1,2,4,5],[3]]=>[[1,3],[2],[4],[5]]
[6,3,1,2,5,4]=>[3,1,2,5,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[6,3,1,4,2,5]=>[3,1,4,2,5]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[6,3,1,4,5,2]=>[3,1,4,5,2]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[6,3,1,5,2,4]=>[3,1,5,2,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[6,3,1,5,4,2]=>[3,1,5,4,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[6,3,2,1,4,5]=>[3,2,1,4,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[6,3,2,1,5,4]=>[3,2,1,5,4]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[6,3,2,4,1,5]=>[3,2,4,1,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[6,3,2,4,5,1]=>[3,2,4,5,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[6,3,2,5,1,4]=>[3,2,5,1,4]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[6,3,2,5,4,1]=>[3,2,5,4,1]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[6,3,4,1,2,5]=>[3,4,1,2,5]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[6,3,4,1,5,2]=>[3,4,1,5,2]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[6,3,4,2,1,5]=>[3,4,2,1,5]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[6,3,4,2,5,1]=>[3,4,2,5,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[6,3,4,5,1,2]=>[3,4,5,1,2]=>[[1,2,5],[3,4]]=>[[1,3],[2,4],[5]]
[6,3,4,5,2,1]=>[3,4,5,2,1]=>[[1,4,5],[2],[3]]=>[[1,2,3],[4],[5]]
[6,3,5,1,2,4]=>[3,5,1,2,4]=>[[1,2,4],[3,5]]=>[[1,3],[2,5],[4]]
[6,3,5,1,4,2]=>[3,5,1,4,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[6,3,5,2,1,4]=>[3,5,2,1,4]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[6,3,5,2,4,1]=>[3,5,2,4,1]=>[[1,4],[2,5],[3]]=>[[1,2,3],[4,5]]
[6,3,5,4,1,2]=>[3,5,4,1,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[6,3,5,4,2,1]=>[3,5,4,2,1]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[6,4,1,2,3,5]=>[4,1,2,3,5]=>[[1,2,3,5],[4]]=>[[1,4],[2],[3],[5]]
[6,4,1,2,5,3]=>[4,1,2,5,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[6,4,1,3,2,5]=>[4,1,3,2,5]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[6,4,1,3,5,2]=>[4,1,3,5,2]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[6,4,1,5,2,3]=>[4,1,5,2,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[6,4,1,5,3,2]=>[4,1,5,3,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[6,4,2,1,3,5]=>[4,2,1,3,5]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[6,4,2,1,5,3]=>[4,2,1,5,3]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[6,4,2,3,1,5]=>[4,2,3,1,5]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[6,4,2,3,5,1]=>[4,2,3,5,1]=>[[1,3,5],[2],[4]]=>[[1,2,4],[3],[5]]
[6,4,2,5,1,3]=>[4,2,5,1,3]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[6,4,2,5,3,1]=>[4,2,5,3,1]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[6,4,3,1,2,5]=>[4,3,1,2,5]=>[[1,2,5],[3],[4]]=>[[1,3,4],[2],[5]]
[6,4,3,1,5,2]=>[4,3,1,5,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[6,4,3,2,1,5]=>[4,3,2,1,5]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[6,4,3,2,5,1]=>[4,3,2,5,1]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[6,4,3,5,1,2]=>[4,3,5,1,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[6,4,3,5,2,1]=>[4,3,5,2,1]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[6,4,5,1,2,3]=>[4,5,1,2,3]=>[[1,2,3],[4,5]]=>[[1,4],[2,5],[3]]
[6,4,5,1,3,2]=>[4,5,1,3,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[6,4,5,2,1,3]=>[4,5,2,1,3]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[6,4,5,2,3,1]=>[4,5,2,3,1]=>[[1,3],[2,5],[4]]=>[[1,2,4],[3,5]]
[6,4,5,3,1,2]=>[4,5,3,1,2]=>[[1,2],[3,5],[4]]=>[[1,3,4],[2,5]]
[6,4,5,3,2,1]=>[4,5,3,2,1]=>[[1,5],[2],[3],[4]]=>[[1,2,3,4],[5]]
[6,5,1,2,3,4]=>[5,1,2,3,4]=>[[1,2,3,4],[5]]=>[[1,5],[2],[3],[4]]
[6,5,1,2,4,3]=>[5,1,2,4,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[6,5,1,3,2,4]=>[5,1,3,2,4]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[6,5,1,3,4,2]=>[5,1,3,4,2]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[6,5,1,4,2,3]=>[5,1,4,2,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[6,5,1,4,3,2]=>[5,1,4,3,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[6,5,2,1,3,4]=>[5,2,1,3,4]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[6,5,2,1,4,3]=>[5,2,1,4,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[6,5,2,3,1,4]=>[5,2,3,1,4]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[6,5,2,3,4,1]=>[5,2,3,4,1]=>[[1,3,4],[2],[5]]=>[[1,2,5],[3],[4]]
[6,5,2,4,1,3]=>[5,2,4,1,3]=>[[1,3],[2,4],[5]]=>[[1,2,5],[3,4]]
[6,5,2,4,3,1]=>[5,2,4,3,1]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[6,5,3,1,2,4]=>[5,3,1,2,4]=>[[1,2,4],[3],[5]]=>[[1,3,5],[2],[4]]
[6,5,3,1,4,2]=>[5,3,1,4,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[6,5,3,2,1,4]=>[5,3,2,1,4]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[6,5,3,2,4,1]=>[5,3,2,4,1]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[6,5,3,4,1,2]=>[5,3,4,1,2]=>[[1,2],[3,4],[5]]=>[[1,3,5],[2,4]]
[6,5,3,4,2,1]=>[5,3,4,2,1]=>[[1,4],[2],[3],[5]]=>[[1,2,3,5],[4]]
[6,5,4,1,2,3]=>[5,4,1,2,3]=>[[1,2,3],[4],[5]]=>[[1,4,5],[2],[3]]
[6,5,4,1,3,2]=>[5,4,1,3,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[6,5,4,2,1,3]=>[5,4,2,1,3]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[6,5,4,2,3,1]=>[5,4,2,3,1]=>[[1,3],[2],[4],[5]]=>[[1,2,4,5],[3]]
[6,5,4,3,1,2]=>[5,4,3,1,2]=>[[1,2],[3],[4],[5]]=>[[1,3,4,5],[2]]
[6,5,4,3,2,1]=>[5,4,3,2,1]=>[[1],[2],[3],[4],[5]]=>[[1,2,3,4,5]]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6]=>[[1,2,3,4,5,6]]=>[[1],[2],[3],[4],[5],[6]]
[1,2,3,4,5,7,6]=>[1,2,3,4,5,6]=>[[1,2,3,4,5,6]]=>[[1],[2],[3],[4],[5],[6]]
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,2,3,4,6,7,5]=>[1,2,3,4,6,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,2,3,4,7,5,6]=>[1,2,3,4,5,6]=>[[1,2,3,4,5,6]]=>[[1],[2],[3],[4],[5],[6]]
[1,2,3,4,7,6,5]=>[1,2,3,4,6,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,2,3,5,4,7,6]=>[1,2,3,5,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,2,3,5,6,4,7]=>[1,2,3,5,6,4]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,2,3,5,6,7,4]=>[1,2,3,5,6,4]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,2,3,5,7,4,6]=>[1,2,3,5,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,2,3,5,7,6,4]=>[1,2,3,5,6,4]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,2,3,6,4,5,7]=>[1,2,3,6,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,2,3,6,4,7,5]=>[1,2,3,6,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,2,3,6,5,4,7]=>[1,2,3,6,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,2,3,6,5,7,4]=>[1,2,3,6,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,2,3,6,7,4,5]=>[1,2,3,6,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,2,3,6,7,5,4]=>[1,2,3,6,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,2,3,7,4,5,6]=>[1,2,3,4,5,6]=>[[1,2,3,4,5,6]]=>[[1],[2],[3],[4],[5],[6]]
[1,2,3,7,4,6,5]=>[1,2,3,4,6,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,2,3,7,5,4,6]=>[1,2,3,5,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,2,3,7,5,6,4]=>[1,2,3,5,6,4]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,2,3,7,6,4,5]=>[1,2,3,6,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,2,3,7,6,5,4]=>[1,2,3,6,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,2,4,3,5,7,6]=>[1,2,4,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,2,4,3,6,7,5]=>[1,2,4,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,2,4,3,7,5,6]=>[1,2,4,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,2,4,3,7,6,5]=>[1,2,4,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,2,4,5,3,6,7]=>[1,2,4,5,3,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,2,4,5,3,7,6]=>[1,2,4,5,3,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,2,4,5,6,3,7]=>[1,2,4,5,6,3]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,2,4,5,6,7,3]=>[1,2,4,5,6,3]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,2,4,5,7,3,6]=>[1,2,4,5,3,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,2,4,5,7,6,3]=>[1,2,4,5,6,3]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,2,4,6,3,5,7]=>[1,2,4,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,2,4,6,3,7,5]=>[1,2,4,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,2,4,6,5,3,7]=>[1,2,4,6,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,2,4,6,5,7,3]=>[1,2,4,6,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,2,4,6,7,3,5]=>[1,2,4,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,2,4,6,7,5,3]=>[1,2,4,6,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,2,4,7,3,5,6]=>[1,2,4,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,2,4,7,3,6,5]=>[1,2,4,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,2,4,7,5,3,6]=>[1,2,4,5,3,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,2,4,7,5,6,3]=>[1,2,4,5,6,3]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,2,4,7,6,3,5]=>[1,2,4,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,2,4,7,6,5,3]=>[1,2,4,6,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,2,5,3,4,6,7]=>[1,2,5,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,2,5,3,4,7,6]=>[1,2,5,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,2,5,3,6,4,7]=>[1,2,5,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,2,5,3,6,7,4]=>[1,2,5,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,2,5,3,7,4,6]=>[1,2,5,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,2,5,3,7,6,4]=>[1,2,5,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,2,5,4,3,6,7]=>[1,2,5,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,2,5,4,3,7,6]=>[1,2,5,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,2,5,4,6,3,7]=>[1,2,5,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,2,5,4,6,7,3]=>[1,2,5,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,2,5,4,7,3,6]=>[1,2,5,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,2,5,4,7,6,3]=>[1,2,5,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,2,5,6,3,4,7]=>[1,2,5,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,2,5,6,3,7,4]=>[1,2,5,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,2,5,6,4,3,7]=>[1,2,5,6,4,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,2,5,6,4,7,3]=>[1,2,5,6,4,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,2,5,6,7,3,4]=>[1,2,5,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,2,5,6,7,4,3]=>[1,2,5,6,4,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,2,5,7,3,4,6]=>[1,2,5,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,2,5,7,3,6,4]=>[1,2,5,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,2,5,7,4,3,6]=>[1,2,5,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,2,5,7,4,6,3]=>[1,2,5,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,2,5,7,6,3,4]=>[1,2,5,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,2,5,7,6,4,3]=>[1,2,5,6,4,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,2,6,3,4,5,7]=>[1,2,6,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,2,6,3,4,7,5]=>[1,2,6,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,2,6,3,5,4,7]=>[1,2,6,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,2,6,3,5,7,4]=>[1,2,6,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,2,6,3,7,4,5]=>[1,2,6,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,2,6,3,7,5,4]=>[1,2,6,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,2,6,4,3,5,7]=>[1,2,6,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,2,6,4,3,7,5]=>[1,2,6,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,2,6,4,5,3,7]=>[1,2,6,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,2,6,4,5,7,3]=>[1,2,6,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,2,6,4,7,3,5]=>[1,2,6,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,2,6,4,7,5,3]=>[1,2,6,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,2,6,5,3,4,7]=>[1,2,6,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,2,6,5,3,7,4]=>[1,2,6,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,2,6,5,4,3,7]=>[1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,2,6,5,4,7,3]=>[1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,2,6,5,7,3,4]=>[1,2,6,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,2,6,5,7,4,3]=>[1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,2,6,7,3,4,5]=>[1,2,6,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,2,6,7,3,5,4]=>[1,2,6,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,2,6,7,4,3,5]=>[1,2,6,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,2,6,7,4,5,3]=>[1,2,6,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,2,6,7,5,3,4]=>[1,2,6,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,2,6,7,5,4,3]=>[1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,2,7,3,4,5,6]=>[1,2,3,4,5,6]=>[[1,2,3,4,5,6]]=>[[1],[2],[3],[4],[5],[6]]
[1,2,7,3,4,6,5]=>[1,2,3,4,6,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,2,7,3,5,4,6]=>[1,2,3,5,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,2,7,3,5,6,4]=>[1,2,3,5,6,4]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,2,7,3,6,4,5]=>[1,2,3,6,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,2,7,3,6,5,4]=>[1,2,3,6,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,2,7,4,3,5,6]=>[1,2,4,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,2,7,4,3,6,5]=>[1,2,4,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,2,7,4,5,3,6]=>[1,2,4,5,3,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,2,7,4,5,6,3]=>[1,2,4,5,6,3]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,2,7,4,6,3,5]=>[1,2,4,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,2,7,4,6,5,3]=>[1,2,4,6,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,2,7,5,3,4,6]=>[1,2,5,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,2,7,5,3,6,4]=>[1,2,5,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,2,7,5,4,3,6]=>[1,2,5,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,2,7,5,4,6,3]=>[1,2,5,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,2,7,5,6,3,4]=>[1,2,5,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,2,7,5,6,4,3]=>[1,2,5,6,4,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,2,7,6,3,4,5]=>[1,2,6,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,2,7,6,3,5,4]=>[1,2,6,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,2,7,6,4,3,5]=>[1,2,6,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,2,7,6,4,5,3]=>[1,2,6,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,2,7,6,5,3,4]=>[1,2,6,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,2,7,6,5,4,3]=>[1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,2,4,5,7,6]=>[1,3,2,4,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,2,4,6,7,5]=>[1,3,2,4,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,2,4,7,5,6]=>[1,3,2,4,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,2,4,7,6,5]=>[1,3,2,4,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,2,5,4,7,6]=>[1,3,2,5,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,2,5,6,4,7]=>[1,3,2,5,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,2,5,6,7,4]=>[1,3,2,5,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,2,5,7,4,6]=>[1,3,2,5,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,2,5,7,6,4]=>[1,3,2,5,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,2,6,4,5,7]=>[1,3,2,6,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,2,6,4,7,5]=>[1,3,2,6,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,2,6,5,4,7]=>[1,3,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,3,2,6,5,7,4]=>[1,3,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,3,2,6,7,4,5]=>[1,3,2,6,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,2,6,7,5,4]=>[1,3,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,3,2,7,4,5,6]=>[1,3,2,4,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,2,7,4,6,5]=>[1,3,2,4,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,2,7,5,4,6]=>[1,3,2,5,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,2,7,5,6,4]=>[1,3,2,5,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,2,7,6,4,5]=>[1,3,2,6,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,2,7,6,5,4]=>[1,3,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,3,4,2,5,6,7]=>[1,3,4,2,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,4,2,5,7,6]=>[1,3,4,2,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,4,2,6,5,7]=>[1,3,4,2,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,4,2,6,7,5]=>[1,3,4,2,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,4,2,7,5,6]=>[1,3,4,2,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,4,2,7,6,5]=>[1,3,4,2,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,4,5,2,6,7]=>[1,3,4,5,2,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,4,5,2,7,6]=>[1,3,4,5,2,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,4,5,6,2,7]=>[1,3,4,5,6,2]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,4,5,6,7,2]=>[1,3,4,5,6,2]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,4,5,7,2,6]=>[1,3,4,5,2,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,4,5,7,6,2]=>[1,3,4,5,6,2]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,4,6,2,5,7]=>[1,3,4,6,2,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,4,6,2,7,5]=>[1,3,4,6,2,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,4,6,5,2,7]=>[1,3,4,6,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,3,4,6,5,7,2]=>[1,3,4,6,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,3,4,6,7,2,5]=>[1,3,4,6,2,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,4,6,7,5,2]=>[1,3,4,6,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,3,4,7,2,5,6]=>[1,3,4,2,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,4,7,2,6,5]=>[1,3,4,2,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,4,7,5,2,6]=>[1,3,4,5,2,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,4,7,5,6,2]=>[1,3,4,5,6,2]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,4,7,6,2,5]=>[1,3,4,6,2,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,4,7,6,5,2]=>[1,3,4,6,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,3,5,2,4,6,7]=>[1,3,5,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,5,2,4,7,6]=>[1,3,5,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,5,2,6,4,7]=>[1,3,5,2,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,5,2,6,7,4]=>[1,3,5,2,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,5,2,7,4,6]=>[1,3,5,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,5,2,7,6,4]=>[1,3,5,2,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,5,4,2,6,7]=>[1,3,5,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,3,5,4,2,7,6]=>[1,3,5,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,3,5,4,6,2,7]=>[1,3,5,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,3,5,4,6,7,2]=>[1,3,5,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,3,5,4,7,2,6]=>[1,3,5,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,3,5,4,7,6,2]=>[1,3,5,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,3,5,6,2,4,7]=>[1,3,5,6,2,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,5,6,2,7,4]=>[1,3,5,6,2,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,5,6,4,2,7]=>[1,3,5,6,4,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,3,5,6,4,7,2]=>[1,3,5,6,4,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,3,5,6,7,2,4]=>[1,3,5,6,2,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,5,6,7,4,2]=>[1,3,5,6,4,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,3,5,7,2,4,6]=>[1,3,5,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,5,7,2,6,4]=>[1,3,5,2,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,5,7,4,2,6]=>[1,3,5,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,3,5,7,4,6,2]=>[1,3,5,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,3,5,7,6,2,4]=>[1,3,5,6,2,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,5,7,6,4,2]=>[1,3,5,6,4,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,3,6,2,4,5,7]=>[1,3,6,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,6,2,4,7,5]=>[1,3,6,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,6,2,5,4,7]=>[1,3,6,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,3,6,2,5,7,4]=>[1,3,6,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,3,6,2,7,4,5]=>[1,3,6,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,6,2,7,5,4]=>[1,3,6,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,3,6,4,2,5,7]=>[1,3,6,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,3,6,4,2,7,5]=>[1,3,6,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,3,6,4,5,2,7]=>[1,3,6,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,3,6,4,5,7,2]=>[1,3,6,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,3,6,4,7,2,5]=>[1,3,6,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,3,6,4,7,5,2]=>[1,3,6,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,3,6,5,2,4,7]=>[1,3,6,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,3,6,5,2,7,4]=>[1,3,6,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,3,6,5,4,2,7]=>[1,3,6,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,3,6,5,4,7,2]=>[1,3,6,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,3,6,5,7,2,4]=>[1,3,6,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,3,6,5,7,4,2]=>[1,3,6,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,3,6,7,2,4,5]=>[1,3,6,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,6,7,2,5,4]=>[1,3,6,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,3,6,7,4,2,5]=>[1,3,6,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,3,6,7,4,5,2]=>[1,3,6,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,3,6,7,5,2,4]=>[1,3,6,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,3,6,7,5,4,2]=>[1,3,6,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,3,7,2,4,5,6]=>[1,3,2,4,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,7,2,4,6,5]=>[1,3,2,4,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,7,2,5,4,6]=>[1,3,2,5,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,7,2,5,6,4]=>[1,3,2,5,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,7,2,6,4,5]=>[1,3,2,6,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,7,2,6,5,4]=>[1,3,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,3,7,4,2,5,6]=>[1,3,4,2,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,7,4,2,6,5]=>[1,3,4,2,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,7,4,5,2,6]=>[1,3,4,5,2,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,7,4,5,6,2]=>[1,3,4,5,6,2]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,3,7,4,6,2,5]=>[1,3,4,6,2,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,7,4,6,5,2]=>[1,3,4,6,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,3,7,5,2,4,6]=>[1,3,5,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,7,5,2,6,4]=>[1,3,5,2,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,7,5,4,2,6]=>[1,3,5,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,3,7,5,4,6,2]=>[1,3,5,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,3,7,5,6,2,4]=>[1,3,5,6,2,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,3,7,5,6,4,2]=>[1,3,5,6,4,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,3,7,6,2,4,5]=>[1,3,6,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,3,7,6,2,5,4]=>[1,3,6,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,3,7,6,4,2,5]=>[1,3,6,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,3,7,6,4,5,2]=>[1,3,6,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,3,7,6,5,2,4]=>[1,3,6,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,3,7,6,5,4,2]=>[1,3,6,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,4,2,3,5,7,6]=>[1,4,2,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,4,2,3,6,5,7]=>[1,4,2,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,4,2,3,6,7,5]=>[1,4,2,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,4,2,3,7,5,6]=>[1,4,2,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,4,2,3,7,6,5]=>[1,4,2,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,4,2,5,3,6,7]=>[1,4,2,5,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,2,5,3,7,6]=>[1,4,2,5,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,2,5,6,3,7]=>[1,4,2,5,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,2,5,6,7,3]=>[1,4,2,5,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,2,5,7,3,6]=>[1,4,2,5,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,2,5,7,6,3]=>[1,4,2,5,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,2,6,3,5,7]=>[1,4,2,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,4,2,6,3,7,5]=>[1,4,2,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,4,2,6,5,3,7]=>[1,4,2,6,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,4,2,6,5,7,3]=>[1,4,2,6,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,4,2,6,7,3,5]=>[1,4,2,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,4,2,6,7,5,3]=>[1,4,2,6,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,4,2,7,3,5,6]=>[1,4,2,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,4,2,7,3,6,5]=>[1,4,2,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,4,2,7,5,3,6]=>[1,4,2,5,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,2,7,5,6,3]=>[1,4,2,5,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,2,7,6,3,5]=>[1,4,2,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,4,2,7,6,5,3]=>[1,4,2,6,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,4,3,2,5,6,7]=>[1,4,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,3,2,5,7,6]=>[1,4,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,3,2,6,5,7]=>[1,4,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,3,2,6,7,5]=>[1,4,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,3,2,7,5,6]=>[1,4,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,3,2,7,6,5]=>[1,4,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,3,5,2,6,7]=>[1,4,3,5,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,3,5,2,7,6]=>[1,4,3,5,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,3,5,6,2,7]=>[1,4,3,5,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,3,5,6,7,2]=>[1,4,3,5,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,3,5,7,2,6]=>[1,4,3,5,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,3,5,7,6,2]=>[1,4,3,5,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,3,6,2,5,7]=>[1,4,3,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,3,6,2,7,5]=>[1,4,3,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,3,6,5,2,7]=>[1,4,3,6,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,3,6,5,7,2]=>[1,4,3,6,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,3,6,7,2,5]=>[1,4,3,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,3,6,7,5,2]=>[1,4,3,6,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,3,7,2,5,6]=>[1,4,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,3,7,2,6,5]=>[1,4,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,3,7,5,2,6]=>[1,4,3,5,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,3,7,5,6,2]=>[1,4,3,5,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,3,7,6,2,5]=>[1,4,3,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,3,7,6,5,2]=>[1,4,3,6,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,5,2,3,6,7]=>[1,4,5,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,5,2,3,7,6]=>[1,4,5,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,5,2,6,3,7]=>[1,4,5,2,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,5,2,6,7,3]=>[1,4,5,2,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,5,2,7,3,6]=>[1,4,5,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,5,2,7,6,3]=>[1,4,5,2,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,5,3,2,6,7]=>[1,4,5,3,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,5,3,2,7,6]=>[1,4,5,3,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,5,3,6,2,7]=>[1,4,5,3,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,5,3,6,7,2]=>[1,4,5,3,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,5,3,7,2,6]=>[1,4,5,3,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,5,3,7,6,2]=>[1,4,5,3,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,5,6,2,3,7]=>[1,4,5,6,2,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,5,6,2,7,3]=>[1,4,5,6,2,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,5,6,3,2,7]=>[1,4,5,6,3,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,5,6,3,7,2]=>[1,4,5,6,3,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,5,6,7,2,3]=>[1,4,5,6,2,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,5,6,7,3,2]=>[1,4,5,6,3,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,5,7,2,3,6]=>[1,4,5,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,5,7,2,6,3]=>[1,4,5,2,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,5,7,3,2,6]=>[1,4,5,3,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,5,7,3,6,2]=>[1,4,5,3,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,5,7,6,2,3]=>[1,4,5,6,2,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,5,7,6,3,2]=>[1,4,5,6,3,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,6,2,3,5,7]=>[1,4,6,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,4,6,2,3,7,5]=>[1,4,6,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,4,6,2,5,3,7]=>[1,4,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,4,6,2,5,7,3]=>[1,4,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,4,6,2,7,3,5]=>[1,4,6,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,4,6,2,7,5,3]=>[1,4,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,4,6,3,2,5,7]=>[1,4,6,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,6,3,2,7,5]=>[1,4,6,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,6,3,5,2,7]=>[1,4,6,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,6,3,5,7,2]=>[1,4,6,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,6,3,7,2,5]=>[1,4,6,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,6,3,7,5,2]=>[1,4,6,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,6,5,2,3,7]=>[1,4,6,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,4,6,5,2,7,3]=>[1,4,6,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,4,6,5,3,2,7]=>[1,4,6,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,4,6,5,3,7,2]=>[1,4,6,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,4,6,5,7,2,3]=>[1,4,6,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,4,6,5,7,3,2]=>[1,4,6,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,4,6,7,2,3,5]=>[1,4,6,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,4,6,7,2,5,3]=>[1,4,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,4,6,7,3,2,5]=>[1,4,6,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,6,7,3,5,2]=>[1,4,6,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,6,7,5,2,3]=>[1,4,6,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,4,6,7,5,3,2]=>[1,4,6,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,4,7,2,3,5,6]=>[1,4,2,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,4,7,2,3,6,5]=>[1,4,2,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,4,7,2,5,3,6]=>[1,4,2,5,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,7,2,5,6,3]=>[1,4,2,5,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,7,2,6,3,5]=>[1,4,2,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,4,7,2,6,5,3]=>[1,4,2,6,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,4,7,3,2,5,6]=>[1,4,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,7,3,2,6,5]=>[1,4,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,7,3,5,2,6]=>[1,4,3,5,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,7,3,5,6,2]=>[1,4,3,5,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,7,3,6,2,5]=>[1,4,3,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,7,3,6,5,2]=>[1,4,3,6,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,7,5,2,3,6]=>[1,4,5,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,7,5,2,6,3]=>[1,4,5,2,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,7,5,3,2,6]=>[1,4,5,3,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,7,5,3,6,2]=>[1,4,5,3,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,7,5,6,2,3]=>[1,4,5,6,2,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,4,7,5,6,3,2]=>[1,4,5,6,3,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,4,7,6,2,3,5]=>[1,4,6,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,4,7,6,2,5,3]=>[1,4,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,4,7,6,3,2,5]=>[1,4,6,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,7,6,3,5,2]=>[1,4,6,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,4,7,6,5,2,3]=>[1,4,6,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,4,7,6,5,3,2]=>[1,4,6,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,5,2,3,4,6,7]=>[1,5,2,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,5,2,3,4,7,6]=>[1,5,2,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,5,2,3,6,4,7]=>[1,5,2,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,5,2,3,6,7,4]=>[1,5,2,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,5,2,3,7,4,6]=>[1,5,2,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,5,2,3,7,6,4]=>[1,5,2,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,5,2,4,3,6,7]=>[1,5,2,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,5,2,4,3,7,6]=>[1,5,2,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,5,2,4,6,3,7]=>[1,5,2,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,5,2,4,6,7,3]=>[1,5,2,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,5,2,4,7,3,6]=>[1,5,2,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,5,2,4,7,6,3]=>[1,5,2,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,5,2,6,3,4,7]=>[1,5,2,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,5,2,6,3,7,4]=>[1,5,2,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,5,2,6,4,3,7]=>[1,5,2,6,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,2,6,4,7,3]=>[1,5,2,6,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,2,6,7,3,4]=>[1,5,2,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,5,2,6,7,4,3]=>[1,5,2,6,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,2,7,3,4,6]=>[1,5,2,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,5,2,7,3,6,4]=>[1,5,2,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,5,2,7,4,3,6]=>[1,5,2,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,5,2,7,4,6,3]=>[1,5,2,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,5,2,7,6,3,4]=>[1,5,2,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,5,2,7,6,4,3]=>[1,5,2,6,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,3,2,4,6,7]=>[1,5,3,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,5,3,2,4,7,6]=>[1,5,3,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,5,3,2,6,4,7]=>[1,5,3,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,3,2,6,7,4]=>[1,5,3,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,3,2,7,4,6]=>[1,5,3,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,5,3,2,7,6,4]=>[1,5,3,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,3,4,2,6,7]=>[1,5,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,5,3,4,2,7,6]=>[1,5,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,5,3,4,6,2,7]=>[1,5,3,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,5,3,4,6,7,2]=>[1,5,3,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,5,3,4,7,2,6]=>[1,5,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,5,3,4,7,6,2]=>[1,5,3,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,5,3,6,2,4,7]=>[1,5,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,3,6,2,7,4]=>[1,5,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,3,6,4,2,7]=>[1,5,3,6,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,3,6,4,7,2]=>[1,5,3,6,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,3,6,7,2,4]=>[1,5,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,3,6,7,4,2]=>[1,5,3,6,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,3,7,2,4,6]=>[1,5,3,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,5,3,7,2,6,4]=>[1,5,3,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,3,7,4,2,6]=>[1,5,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,5,3,7,4,6,2]=>[1,5,3,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,5,3,7,6,2,4]=>[1,5,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,3,7,6,4,2]=>[1,5,3,6,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,4,2,3,6,7]=>[1,5,4,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,5,4,2,3,7,6]=>[1,5,4,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,5,4,2,6,3,7]=>[1,5,4,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,4,2,6,7,3]=>[1,5,4,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,4,2,7,3,6]=>[1,5,4,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,5,4,2,7,6,3]=>[1,5,4,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,4,3,2,6,7]=>[1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,5,4,3,2,7,6]=>[1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,5,4,3,6,2,7]=>[1,5,4,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,5,4,3,6,7,2]=>[1,5,4,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,5,4,3,7,2,6]=>[1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,5,4,3,7,6,2]=>[1,5,4,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,5,4,6,2,3,7]=>[1,5,4,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,4,6,2,7,3]=>[1,5,4,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,4,6,3,2,7]=>[1,5,4,6,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,5,4,6,3,7,2]=>[1,5,4,6,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,5,4,6,7,2,3]=>[1,5,4,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,4,6,7,3,2]=>[1,5,4,6,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,5,4,7,2,3,6]=>[1,5,4,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,5,4,7,2,6,3]=>[1,5,4,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,4,7,3,2,6]=>[1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,5,4,7,3,6,2]=>[1,5,4,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,5,4,7,6,2,3]=>[1,5,4,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,4,7,6,3,2]=>[1,5,4,6,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,5,6,2,3,4,7]=>[1,5,6,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,5,6,2,3,7,4]=>[1,5,6,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,5,6,2,4,3,7]=>[1,5,6,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,6,2,4,7,3]=>[1,5,6,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,6,2,7,3,4]=>[1,5,6,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,5,6,2,7,4,3]=>[1,5,6,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,6,3,2,4,7]=>[1,5,6,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,6,3,2,7,4]=>[1,5,6,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,6,3,4,2,7]=>[1,5,6,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,6,3,4,7,2]=>[1,5,6,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,6,3,7,2,4]=>[1,5,6,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,6,3,7,4,2]=>[1,5,6,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,6,4,2,3,7]=>[1,5,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,6,4,2,7,3]=>[1,5,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,6,4,3,2,7]=>[1,5,6,4,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,5,6,4,3,7,2]=>[1,5,6,4,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,5,6,4,7,2,3]=>[1,5,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,6,4,7,3,2]=>[1,5,6,4,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,5,6,7,2,3,4]=>[1,5,6,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,5,6,7,2,4,3]=>[1,5,6,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,6,7,3,2,4]=>[1,5,6,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,6,7,3,4,2]=>[1,5,6,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,6,7,4,2,3]=>[1,5,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,6,7,4,3,2]=>[1,5,6,4,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,5,7,2,3,4,6]=>[1,5,2,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,5,7,2,3,6,4]=>[1,5,2,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,5,7,2,4,3,6]=>[1,5,2,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,5,7,2,4,6,3]=>[1,5,2,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,5,7,2,6,3,4]=>[1,5,2,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,5,7,2,6,4,3]=>[1,5,2,6,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,7,3,2,4,6]=>[1,5,3,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,5,7,3,2,6,4]=>[1,5,3,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,7,3,4,2,6]=>[1,5,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,5,7,3,4,6,2]=>[1,5,3,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,5,7,3,6,2,4]=>[1,5,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,7,3,6,4,2]=>[1,5,3,6,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,7,4,2,3,6]=>[1,5,4,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,5,7,4,2,6,3]=>[1,5,4,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,7,4,3,2,6]=>[1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,5,7,4,3,6,2]=>[1,5,4,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,5,7,4,6,2,3]=>[1,5,4,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,7,4,6,3,2]=>[1,5,4,6,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,5,7,6,2,3,4]=>[1,5,6,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,5,7,6,2,4,3]=>[1,5,6,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,7,6,3,2,4]=>[1,5,6,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,7,6,3,4,2]=>[1,5,6,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,5,7,6,4,2,3]=>[1,5,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,5,7,6,4,3,2]=>[1,5,6,4,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,6,2,3,4,5,7]=>[1,6,2,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,6,2,3,4,7,5]=>[1,6,2,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,6,2,3,5,4,7]=>[1,6,2,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,6,2,3,5,7,4]=>[1,6,2,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,6,2,3,7,4,5]=>[1,6,2,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,6,2,3,7,5,4]=>[1,6,2,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,6,2,4,3,5,7]=>[1,6,2,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,6,2,4,3,7,5]=>[1,6,2,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,6,2,4,5,3,7]=>[1,6,2,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,6,2,4,5,7,3]=>[1,6,2,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,6,2,4,7,3,5]=>[1,6,2,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,6,2,4,7,5,3]=>[1,6,2,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,6,2,5,3,4,7]=>[1,6,2,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,6,2,5,3,7,4]=>[1,6,2,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,6,2,5,4,3,7]=>[1,6,2,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,6,2,5,4,7,3]=>[1,6,2,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,6,2,5,7,3,4]=>[1,6,2,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,6,2,5,7,4,3]=>[1,6,2,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,6,2,7,3,4,5]=>[1,6,2,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,6,2,7,3,5,4]=>[1,6,2,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,6,2,7,4,3,5]=>[1,6,2,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,6,2,7,4,5,3]=>[1,6,2,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,6,2,7,5,3,4]=>[1,6,2,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,6,2,7,5,4,3]=>[1,6,2,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,6,3,2,4,5,7]=>[1,6,3,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,6,3,2,4,7,5]=>[1,6,3,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,6,3,2,5,4,7]=>[1,6,3,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,6,3,2,5,7,4]=>[1,6,3,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,6,3,2,7,4,5]=>[1,6,3,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,6,3,2,7,5,4]=>[1,6,3,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,6,3,4,2,5,7]=>[1,6,3,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,6,3,4,2,7,5]=>[1,6,3,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,6,3,4,5,2,7]=>[1,6,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,6,3,4,5,7,2]=>[1,6,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,6,3,4,7,2,5]=>[1,6,3,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,6,3,4,7,5,2]=>[1,6,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,6,3,5,2,4,7]=>[1,6,3,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,6,3,5,2,7,4]=>[1,6,3,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,6,3,5,4,2,7]=>[1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,6,3,5,4,7,2]=>[1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,6,3,5,7,2,4]=>[1,6,3,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,6,3,5,7,4,2]=>[1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,6,3,7,2,4,5]=>[1,6,3,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,6,3,7,2,5,4]=>[1,6,3,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,6,3,7,4,2,5]=>[1,6,3,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,6,3,7,4,5,2]=>[1,6,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,6,3,7,5,2,4]=>[1,6,3,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,6,3,7,5,4,2]=>[1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,6,4,2,3,5,7]=>[1,6,4,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,6,4,2,3,7,5]=>[1,6,4,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,6,4,2,5,3,7]=>[1,6,4,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,6,4,2,5,7,3]=>[1,6,4,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,6,4,2,7,3,5]=>[1,6,4,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,6,4,2,7,5,3]=>[1,6,4,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,6,4,3,2,5,7]=>[1,6,4,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,6,4,3,2,7,5]=>[1,6,4,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,6,4,3,5,2,7]=>[1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,6,4,3,5,7,2]=>[1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,6,4,3,7,2,5]=>[1,6,4,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,6,4,3,7,5,2]=>[1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,6,4,5,2,3,7]=>[1,6,4,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,6,4,5,2,7,3]=>[1,6,4,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,6,4,5,3,2,7]=>[1,6,4,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,6,4,5,3,7,2]=>[1,6,4,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,6,4,5,7,2,3]=>[1,6,4,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,6,4,5,7,3,2]=>[1,6,4,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,6,4,7,2,3,5]=>[1,6,4,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,6,4,7,2,5,3]=>[1,6,4,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,6,4,7,3,2,5]=>[1,6,4,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,6,4,7,3,5,2]=>[1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,6,4,7,5,2,3]=>[1,6,4,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,6,4,7,5,3,2]=>[1,6,4,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,6,5,2,3,4,7]=>[1,6,5,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,6,5,2,3,7,4]=>[1,6,5,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,6,5,2,4,3,7]=>[1,6,5,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,6,5,2,4,7,3]=>[1,6,5,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,6,5,2,7,3,4]=>[1,6,5,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,6,5,2,7,4,3]=>[1,6,5,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,6,5,3,2,4,7]=>[1,6,5,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,6,5,3,2,7,4]=>[1,6,5,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,6,5,3,4,2,7]=>[1,6,5,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,6,5,3,4,7,2]=>[1,6,5,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,6,5,3,7,2,4]=>[1,6,5,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,6,5,3,7,4,2]=>[1,6,5,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,6,5,4,2,3,7]=>[1,6,5,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,6,5,4,2,7,3]=>[1,6,5,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,6,5,4,3,2,7]=>[1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[1,6,5,4,3,7,2]=>[1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[1,6,5,4,7,2,3]=>[1,6,5,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,6,5,4,7,3,2]=>[1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[1,6,5,7,2,3,4]=>[1,6,5,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,6,5,7,2,4,3]=>[1,6,5,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,6,5,7,3,2,4]=>[1,6,5,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,6,5,7,3,4,2]=>[1,6,5,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,6,5,7,4,2,3]=>[1,6,5,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,6,5,7,4,3,2]=>[1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[1,6,7,2,3,4,5]=>[1,6,2,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,6,7,2,3,5,4]=>[1,6,2,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,6,7,2,4,3,5]=>[1,6,2,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,6,7,2,4,5,3]=>[1,6,2,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,6,7,2,5,3,4]=>[1,6,2,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,6,7,2,5,4,3]=>[1,6,2,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,6,7,3,2,4,5]=>[1,6,3,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,6,7,3,2,5,4]=>[1,6,3,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,6,7,3,4,2,5]=>[1,6,3,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,6,7,3,4,5,2]=>[1,6,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,6,7,3,5,2,4]=>[1,6,3,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,6,7,3,5,4,2]=>[1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,6,7,4,2,3,5]=>[1,6,4,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,6,7,4,2,5,3]=>[1,6,4,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,6,7,4,3,2,5]=>[1,6,4,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,6,7,4,3,5,2]=>[1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,6,7,4,5,2,3]=>[1,6,4,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,6,7,4,5,3,2]=>[1,6,4,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,6,7,5,2,3,4]=>[1,6,5,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,6,7,5,2,4,3]=>[1,6,5,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,6,7,5,3,2,4]=>[1,6,5,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,6,7,5,3,4,2]=>[1,6,5,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,6,7,5,4,2,3]=>[1,6,5,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,6,7,5,4,3,2]=>[1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[1,7,2,3,4,5,6]=>[1,2,3,4,5,6]=>[[1,2,3,4,5,6]]=>[[1],[2],[3],[4],[5],[6]]
[1,7,2,3,4,6,5]=>[1,2,3,4,6,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,7,2,3,5,4,6]=>[1,2,3,5,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,7,2,3,5,6,4]=>[1,2,3,5,6,4]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,7,2,3,6,4,5]=>[1,2,3,6,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,7,2,3,6,5,4]=>[1,2,3,6,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,7,2,4,3,5,6]=>[1,2,4,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,7,2,4,3,6,5]=>[1,2,4,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,7,2,4,5,3,6]=>[1,2,4,5,3,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,7,2,4,5,6,3]=>[1,2,4,5,6,3]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,7,2,4,6,3,5]=>[1,2,4,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,7,2,4,6,5,3]=>[1,2,4,6,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,7,2,5,3,4,6]=>[1,2,5,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,7,2,5,3,6,4]=>[1,2,5,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,7,2,5,4,3,6]=>[1,2,5,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,7,2,5,4,6,3]=>[1,2,5,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,7,2,5,6,3,4]=>[1,2,5,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,7,2,5,6,4,3]=>[1,2,5,6,4,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,7,2,6,3,4,5]=>[1,2,6,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,7,2,6,3,5,4]=>[1,2,6,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,7,2,6,4,3,5]=>[1,2,6,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,7,2,6,4,5,3]=>[1,2,6,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,7,2,6,5,3,4]=>[1,2,6,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,7,2,6,5,4,3]=>[1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,7,3,2,4,5,6]=>[1,3,2,4,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,7,3,2,4,6,5]=>[1,3,2,4,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,7,3,2,5,4,6]=>[1,3,2,5,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,7,3,2,5,6,4]=>[1,3,2,5,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,7,3,2,6,4,5]=>[1,3,2,6,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,7,3,2,6,5,4]=>[1,3,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,7,3,4,2,5,6]=>[1,3,4,2,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,7,3,4,2,6,5]=>[1,3,4,2,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,7,3,4,5,2,6]=>[1,3,4,5,2,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,7,3,4,5,6,2]=>[1,3,4,5,6,2]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[1,7,3,4,6,2,5]=>[1,3,4,6,2,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,7,3,4,6,5,2]=>[1,3,4,6,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,7,3,5,2,4,6]=>[1,3,5,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,7,3,5,2,6,4]=>[1,3,5,2,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,7,3,5,4,2,6]=>[1,3,5,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,7,3,5,4,6,2]=>[1,3,5,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,7,3,5,6,2,4]=>[1,3,5,6,2,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[1,7,3,5,6,4,2]=>[1,3,5,6,4,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,7,3,6,2,4,5]=>[1,3,6,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[1,7,3,6,2,5,4]=>[1,3,6,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,7,3,6,4,2,5]=>[1,3,6,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,7,3,6,4,5,2]=>[1,3,6,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,7,3,6,5,2,4]=>[1,3,6,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,7,3,6,5,4,2]=>[1,3,6,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,7,4,2,3,5,6]=>[1,4,2,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[1,7,4,2,3,6,5]=>[1,4,2,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,7,4,2,5,3,6]=>[1,4,2,5,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,7,4,2,5,6,3]=>[1,4,2,5,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,7,4,2,6,3,5]=>[1,4,2,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,7,4,2,6,5,3]=>[1,4,2,6,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,7,4,3,2,5,6]=>[1,4,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,7,4,3,2,6,5]=>[1,4,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,7,4,3,5,2,6]=>[1,4,3,5,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,7,4,3,5,6,2]=>[1,4,3,5,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,7,4,3,6,2,5]=>[1,4,3,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,7,4,3,6,5,2]=>[1,4,3,6,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,7,4,5,2,3,6]=>[1,4,5,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,7,4,5,2,6,3]=>[1,4,5,2,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,7,4,5,3,2,6]=>[1,4,5,3,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,7,4,5,3,6,2]=>[1,4,5,3,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,7,4,5,6,2,3]=>[1,4,5,6,2,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[1,7,4,5,6,3,2]=>[1,4,5,6,3,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[1,7,4,6,2,3,5]=>[1,4,6,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[1,7,4,6,2,5,3]=>[1,4,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,7,4,6,3,2,5]=>[1,4,6,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,7,4,6,3,5,2]=>[1,4,6,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[1,7,4,6,5,2,3]=>[1,4,6,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,7,4,6,5,3,2]=>[1,4,6,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,7,5,2,3,4,6]=>[1,5,2,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[1,7,5,2,3,6,4]=>[1,5,2,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,7,5,2,4,3,6]=>[1,5,2,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,7,5,2,4,6,3]=>[1,5,2,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,7,5,2,6,3,4]=>[1,5,2,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,7,5,2,6,4,3]=>[1,5,2,6,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,7,5,3,2,4,6]=>[1,5,3,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,7,5,3,2,6,4]=>[1,5,3,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,7,5,3,4,2,6]=>[1,5,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,7,5,3,4,6,2]=>[1,5,3,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[1,7,5,3,6,2,4]=>[1,5,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,7,5,3,6,4,2]=>[1,5,3,6,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,7,5,4,2,3,6]=>[1,5,4,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[1,7,5,4,2,6,3]=>[1,5,4,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,7,5,4,3,2,6]=>[1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,7,5,4,3,6,2]=>[1,5,4,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,7,5,4,6,2,3]=>[1,5,4,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,7,5,4,6,3,2]=>[1,5,4,6,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,7,5,6,2,3,4]=>[1,5,6,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[1,7,5,6,2,4,3]=>[1,5,6,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,7,5,6,3,2,4]=>[1,5,6,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,7,5,6,3,4,2]=>[1,5,6,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[1,7,5,6,4,2,3]=>[1,5,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[1,7,5,6,4,3,2]=>[1,5,6,4,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[1,7,6,2,3,4,5]=>[1,6,2,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[1,7,6,2,3,5,4]=>[1,6,2,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,7,6,2,4,3,5]=>[1,6,2,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,7,6,2,4,5,3]=>[1,6,2,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,7,6,2,5,3,4]=>[1,6,2,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,7,6,2,5,4,3]=>[1,6,2,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,7,6,3,2,4,5]=>[1,6,3,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,7,6,3,2,5,4]=>[1,6,3,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,7,6,3,4,2,5]=>[1,6,3,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,7,6,3,4,5,2]=>[1,6,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[1,7,6,3,5,2,4]=>[1,6,3,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[1,7,6,3,5,4,2]=>[1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,7,6,4,2,3,5]=>[1,6,4,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[1,7,6,4,2,5,3]=>[1,6,4,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,7,6,4,3,2,5]=>[1,6,4,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,7,6,4,3,5,2]=>[1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,7,6,4,5,2,3]=>[1,6,4,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[1,7,6,4,5,3,2]=>[1,6,4,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[1,7,6,5,2,3,4]=>[1,6,5,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[1,7,6,5,2,4,3]=>[1,6,5,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,7,6,5,3,2,4]=>[1,6,5,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,7,6,5,3,4,2]=>[1,6,5,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[1,7,6,5,4,2,3]=>[1,6,5,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,1,3,4,5,7,6]=>[2,1,3,4,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,1,3,4,6,5,7]=>[2,1,3,4,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,1,3,4,6,7,5]=>[2,1,3,4,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,1,3,4,7,5,6]=>[2,1,3,4,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,1,3,4,7,6,5]=>[2,1,3,4,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,1,3,5,4,6,7]=>[2,1,3,5,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,1,3,5,4,7,6]=>[2,1,3,5,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,1,3,5,6,4,7]=>[2,1,3,5,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,1,3,5,6,7,4]=>[2,1,3,5,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,1,3,5,7,4,6]=>[2,1,3,5,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,1,3,5,7,6,4]=>[2,1,3,5,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,1,3,6,4,5,7]=>[2,1,3,6,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,1,3,6,4,7,5]=>[2,1,3,6,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,1,3,6,5,4,7]=>[2,1,3,6,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,1,3,6,5,7,4]=>[2,1,3,6,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,1,3,6,7,4,5]=>[2,1,3,6,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,1,3,6,7,5,4]=>[2,1,3,6,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,1,3,7,4,5,6]=>[2,1,3,4,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,1,3,7,4,6,5]=>[2,1,3,4,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,1,3,7,5,4,6]=>[2,1,3,5,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,1,3,7,5,6,4]=>[2,1,3,5,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,1,3,7,6,4,5]=>[2,1,3,6,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,1,3,7,6,5,4]=>[2,1,3,6,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,1,4,3,5,6,7]=>[2,1,4,3,5,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,1,4,3,5,7,6]=>[2,1,4,3,5,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,1,4,3,6,5,7]=>[2,1,4,3,6,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,1,4,3,6,7,5]=>[2,1,4,3,6,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,1,4,3,7,5,6]=>[2,1,4,3,5,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,1,4,3,7,6,5]=>[2,1,4,3,6,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,1,4,5,3,6,7]=>[2,1,4,5,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,1,4,5,3,7,6]=>[2,1,4,5,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,1,4,5,6,3,7]=>[2,1,4,5,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,1,4,5,6,7,3]=>[2,1,4,5,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,1,4,5,7,3,6]=>[2,1,4,5,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,1,4,5,7,6,3]=>[2,1,4,5,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,1,4,6,3,5,7]=>[2,1,4,6,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,1,4,6,3,7,5]=>[2,1,4,6,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,1,4,6,5,3,7]=>[2,1,4,6,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,1,4,6,5,7,3]=>[2,1,4,6,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,1,4,6,7,3,5]=>[2,1,4,6,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,1,4,6,7,5,3]=>[2,1,4,6,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,1,4,7,3,5,6]=>[2,1,4,3,5,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,1,4,7,3,6,5]=>[2,1,4,3,6,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,1,4,7,5,3,6]=>[2,1,4,5,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,1,4,7,5,6,3]=>[2,1,4,5,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,1,4,7,6,3,5]=>[2,1,4,6,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,1,4,7,6,5,3]=>[2,1,4,6,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,1,5,3,4,6,7]=>[2,1,5,3,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,1,5,3,4,7,6]=>[2,1,5,3,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,1,5,3,6,4,7]=>[2,1,5,3,6,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,1,5,3,6,7,4]=>[2,1,5,3,6,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,1,5,3,7,4,6]=>[2,1,5,3,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,1,5,3,7,6,4]=>[2,1,5,3,6,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,1,5,4,3,6,7]=>[2,1,5,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,1,5,4,3,7,6]=>[2,1,5,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,1,5,4,6,3,7]=>[2,1,5,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,1,5,4,6,7,3]=>[2,1,5,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,1,5,4,7,3,6]=>[2,1,5,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,1,5,4,7,6,3]=>[2,1,5,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,1,5,6,3,4,7]=>[2,1,5,6,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,1,5,6,3,7,4]=>[2,1,5,6,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,1,5,6,4,3,7]=>[2,1,5,6,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,1,5,6,4,7,3]=>[2,1,5,6,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,1,5,6,7,3,4]=>[2,1,5,6,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,1,5,6,7,4,3]=>[2,1,5,6,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,1,5,7,3,4,6]=>[2,1,5,3,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,1,5,7,3,6,4]=>[2,1,5,3,6,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,1,5,7,4,3,6]=>[2,1,5,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,1,5,7,4,6,3]=>[2,1,5,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,1,5,7,6,3,4]=>[2,1,5,6,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,1,5,7,6,4,3]=>[2,1,5,6,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,1,6,3,4,5,7]=>[2,1,6,3,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,1,6,3,4,7,5]=>[2,1,6,3,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,1,6,3,5,4,7]=>[2,1,6,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,1,6,3,5,7,4]=>[2,1,6,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,1,6,3,7,4,5]=>[2,1,6,3,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,1,6,3,7,5,4]=>[2,1,6,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,1,6,4,3,5,7]=>[2,1,6,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,1,6,4,3,7,5]=>[2,1,6,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,1,6,4,5,3,7]=>[2,1,6,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,1,6,4,5,7,3]=>[2,1,6,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,1,6,4,7,3,5]=>[2,1,6,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,1,6,4,7,5,3]=>[2,1,6,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,1,6,5,3,4,7]=>[2,1,6,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,1,6,5,3,7,4]=>[2,1,6,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,1,6,5,4,3,7]=>[2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,1,6,5,4,7,3]=>[2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,1,6,5,7,3,4]=>[2,1,6,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,1,6,5,7,4,3]=>[2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,1,6,7,3,4,5]=>[2,1,6,3,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,1,6,7,3,5,4]=>[2,1,6,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,1,6,7,4,3,5]=>[2,1,6,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,1,6,7,4,5,3]=>[2,1,6,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,1,6,7,5,3,4]=>[2,1,6,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,1,6,7,5,4,3]=>[2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,1,7,3,4,5,6]=>[2,1,3,4,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,1,7,3,4,6,5]=>[2,1,3,4,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,1,7,3,5,4,6]=>[2,1,3,5,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,1,7,3,5,6,4]=>[2,1,3,5,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,1,7,3,6,4,5]=>[2,1,3,6,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,1,7,3,6,5,4]=>[2,1,3,6,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,1,7,4,3,5,6]=>[2,1,4,3,5,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,1,7,4,3,6,5]=>[2,1,4,3,6,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,1,7,4,5,3,6]=>[2,1,4,5,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,1,7,4,5,6,3]=>[2,1,4,5,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,1,7,4,6,3,5]=>[2,1,4,6,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,1,7,4,6,5,3]=>[2,1,4,6,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,1,7,5,3,4,6]=>[2,1,5,3,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,1,7,5,3,6,4]=>[2,1,5,3,6,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,1,7,5,4,3,6]=>[2,1,5,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,1,7,5,4,6,3]=>[2,1,5,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,1,7,5,6,3,4]=>[2,1,5,6,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,1,7,5,6,4,3]=>[2,1,5,6,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,1,7,6,3,4,5]=>[2,1,6,3,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,1,7,6,3,5,4]=>[2,1,6,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,1,7,6,4,3,5]=>[2,1,6,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,1,7,6,4,5,3]=>[2,1,6,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,1,7,6,5,3,4]=>[2,1,6,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,3,1,4,5,6,7]=>[2,3,1,4,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,1,4,5,7,6]=>[2,3,1,4,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,1,4,6,5,7]=>[2,3,1,4,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,1,4,6,7,5]=>[2,3,1,4,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,1,4,7,5,6]=>[2,3,1,4,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,1,4,7,6,5]=>[2,3,1,4,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,1,5,4,6,7]=>[2,3,1,5,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,1,5,4,7,6]=>[2,3,1,5,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,1,5,6,4,7]=>[2,3,1,5,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,1,5,6,7,4]=>[2,3,1,5,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,1,5,7,4,6]=>[2,3,1,5,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,1,5,7,6,4]=>[2,3,1,5,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,1,6,4,5,7]=>[2,3,1,6,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,1,6,4,7,5]=>[2,3,1,6,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,1,6,5,4,7]=>[2,3,1,6,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,3,1,6,5,7,4]=>[2,3,1,6,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,3,1,6,7,4,5]=>[2,3,1,6,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,1,6,7,5,4]=>[2,3,1,6,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,3,1,7,4,5,6]=>[2,3,1,4,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,1,7,4,6,5]=>[2,3,1,4,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,1,7,5,4,6]=>[2,3,1,5,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,1,7,5,6,4]=>[2,3,1,5,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,1,7,6,4,5]=>[2,3,1,6,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,1,7,6,5,4]=>[2,3,1,6,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,3,4,1,5,6,7]=>[2,3,4,1,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,4,1,5,7,6]=>[2,3,4,1,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,4,1,6,5,7]=>[2,3,4,1,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,4,1,6,7,5]=>[2,3,4,1,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,4,1,7,5,6]=>[2,3,4,1,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,4,1,7,6,5]=>[2,3,4,1,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,4,5,1,6,7]=>[2,3,4,5,1,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,4,5,1,7,6]=>[2,3,4,5,1,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,4,5,6,1,7]=>[2,3,4,5,6,1]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,4,5,6,7,1]=>[2,3,4,5,6,1]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,4,5,7,1,6]=>[2,3,4,5,1,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,4,5,7,6,1]=>[2,3,4,5,6,1]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,4,6,1,5,7]=>[2,3,4,6,1,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,4,6,1,7,5]=>[2,3,4,6,1,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,4,6,5,1,7]=>[2,3,4,6,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,3,4,6,5,7,1]=>[2,3,4,6,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,3,4,6,7,1,5]=>[2,3,4,6,1,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,4,6,7,5,1]=>[2,3,4,6,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,3,4,7,1,5,6]=>[2,3,4,1,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,4,7,1,6,5]=>[2,3,4,1,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,4,7,5,1,6]=>[2,3,4,5,1,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,4,7,5,6,1]=>[2,3,4,5,6,1]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,4,7,6,1,5]=>[2,3,4,6,1,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,4,7,6,5,1]=>[2,3,4,6,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,3,5,1,4,6,7]=>[2,3,5,1,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,5,1,4,7,6]=>[2,3,5,1,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,5,1,6,4,7]=>[2,3,5,1,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,5,1,6,7,4]=>[2,3,5,1,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,5,1,7,4,6]=>[2,3,5,1,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,5,1,7,6,4]=>[2,3,5,1,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,5,4,1,6,7]=>[2,3,5,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,3,5,4,1,7,6]=>[2,3,5,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,3,5,4,6,1,7]=>[2,3,5,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,3,5,4,6,7,1]=>[2,3,5,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,3,5,4,7,1,6]=>[2,3,5,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,3,5,4,7,6,1]=>[2,3,5,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,3,5,6,1,4,7]=>[2,3,5,6,1,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,5,6,1,7,4]=>[2,3,5,6,1,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,5,6,4,1,7]=>[2,3,5,6,4,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,3,5,6,4,7,1]=>[2,3,5,6,4,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,3,5,6,7,1,4]=>[2,3,5,6,1,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,5,6,7,4,1]=>[2,3,5,6,4,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,3,5,7,1,4,6]=>[2,3,5,1,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,5,7,1,6,4]=>[2,3,5,1,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,5,7,4,1,6]=>[2,3,5,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,3,5,7,4,6,1]=>[2,3,5,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,3,5,7,6,1,4]=>[2,3,5,6,1,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,5,7,6,4,1]=>[2,3,5,6,4,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,3,6,1,4,5,7]=>[2,3,6,1,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,6,1,4,7,5]=>[2,3,6,1,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,6,1,5,4,7]=>[2,3,6,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,3,6,1,5,7,4]=>[2,3,6,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,3,6,1,7,4,5]=>[2,3,6,1,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,6,1,7,5,4]=>[2,3,6,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,3,6,4,1,5,7]=>[2,3,6,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,3,6,4,1,7,5]=>[2,3,6,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,3,6,4,5,1,7]=>[2,3,6,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,3,6,4,5,7,1]=>[2,3,6,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,3,6,4,7,1,5]=>[2,3,6,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,3,6,4,7,5,1]=>[2,3,6,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,3,6,5,1,4,7]=>[2,3,6,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,3,6,5,1,7,4]=>[2,3,6,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,3,6,5,4,1,7]=>[2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,3,6,5,4,7,1]=>[2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,3,6,5,7,1,4]=>[2,3,6,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,3,6,5,7,4,1]=>[2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,3,6,7,1,4,5]=>[2,3,6,1,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,6,7,1,5,4]=>[2,3,6,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,3,6,7,4,1,5]=>[2,3,6,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,3,6,7,4,5,1]=>[2,3,6,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,3,6,7,5,1,4]=>[2,3,6,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,3,6,7,5,4,1]=>[2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,3,7,1,4,5,6]=>[2,3,1,4,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,7,1,4,6,5]=>[2,3,1,4,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,7,1,5,4,6]=>[2,3,1,5,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,7,1,5,6,4]=>[2,3,1,5,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,7,1,6,4,5]=>[2,3,1,6,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,7,1,6,5,4]=>[2,3,1,6,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,3,7,4,1,5,6]=>[2,3,4,1,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,7,4,1,6,5]=>[2,3,4,1,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,7,4,5,1,6]=>[2,3,4,5,1,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,7,4,5,6,1]=>[2,3,4,5,6,1]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,3,7,4,6,1,5]=>[2,3,4,6,1,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,7,4,6,5,1]=>[2,3,4,6,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,3,7,5,1,4,6]=>[2,3,5,1,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,7,5,1,6,4]=>[2,3,5,1,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,7,5,4,1,6]=>[2,3,5,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,3,7,5,4,6,1]=>[2,3,5,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,3,7,5,6,1,4]=>[2,3,5,6,1,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,3,7,5,6,4,1]=>[2,3,5,6,4,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,3,7,6,1,4,5]=>[2,3,6,1,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,3,7,6,1,5,4]=>[2,3,6,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,3,7,6,4,1,5]=>[2,3,6,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,3,7,6,4,5,1]=>[2,3,6,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,3,7,6,5,1,4]=>[2,3,6,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,3,7,6,5,4,1]=>[2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,4,1,3,5,6,7]=>[2,4,1,3,5,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,1,3,5,7,6]=>[2,4,1,3,5,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,1,3,6,5,7]=>[2,4,1,3,6,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,4,1,3,6,7,5]=>[2,4,1,3,6,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,4,1,3,7,5,6]=>[2,4,1,3,5,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,1,3,7,6,5]=>[2,4,1,3,6,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,4,1,5,3,6,7]=>[2,4,1,5,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,1,5,3,7,6]=>[2,4,1,5,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,1,5,6,3,7]=>[2,4,1,5,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,1,5,6,7,3]=>[2,4,1,5,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,1,5,7,3,6]=>[2,4,1,5,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,1,5,7,6,3]=>[2,4,1,5,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,1,6,3,5,7]=>[2,4,1,6,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,4,1,6,3,7,5]=>[2,4,1,6,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,4,1,6,5,3,7]=>[2,4,1,6,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,4,1,6,5,7,3]=>[2,4,1,6,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,4,1,6,7,3,5]=>[2,4,1,6,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,4,1,6,7,5,3]=>[2,4,1,6,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,4,1,7,3,5,6]=>[2,4,1,3,5,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,1,7,3,6,5]=>[2,4,1,3,6,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,4,1,7,5,3,6]=>[2,4,1,5,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,1,7,5,6,3]=>[2,4,1,5,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,1,7,6,3,5]=>[2,4,1,6,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,4,1,7,6,5,3]=>[2,4,1,6,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,4,3,1,5,6,7]=>[2,4,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,3,1,5,7,6]=>[2,4,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,3,1,6,5,7]=>[2,4,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,3,1,6,7,5]=>[2,4,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,3,1,7,5,6]=>[2,4,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,3,1,7,6,5]=>[2,4,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,3,5,1,6,7]=>[2,4,3,5,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,3,5,1,7,6]=>[2,4,3,5,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,3,5,6,1,7]=>[2,4,3,5,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,3,5,6,7,1]=>[2,4,3,5,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,3,5,7,1,6]=>[2,4,3,5,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,3,5,7,6,1]=>[2,4,3,5,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,3,6,1,5,7]=>[2,4,3,6,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,3,6,1,7,5]=>[2,4,3,6,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,3,6,5,1,7]=>[2,4,3,6,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,3,6,5,7,1]=>[2,4,3,6,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,3,6,7,1,5]=>[2,4,3,6,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,3,6,7,5,1]=>[2,4,3,6,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,3,7,1,5,6]=>[2,4,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,3,7,1,6,5]=>[2,4,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,3,7,5,1,6]=>[2,4,3,5,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,3,7,5,6,1]=>[2,4,3,5,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,3,7,6,1,5]=>[2,4,3,6,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,3,7,6,5,1]=>[2,4,3,6,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,5,1,3,6,7]=>[2,4,5,1,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,5,1,3,7,6]=>[2,4,5,1,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,5,1,6,3,7]=>[2,4,5,1,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,5,1,6,7,3]=>[2,4,5,1,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,5,1,7,3,6]=>[2,4,5,1,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,5,1,7,6,3]=>[2,4,5,1,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,5,3,1,6,7]=>[2,4,5,3,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,5,3,1,7,6]=>[2,4,5,3,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,5,3,6,1,7]=>[2,4,5,3,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,5,3,6,7,1]=>[2,4,5,3,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,5,3,7,1,6]=>[2,4,5,3,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,5,3,7,6,1]=>[2,4,5,3,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,5,6,1,3,7]=>[2,4,5,6,1,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,5,6,1,7,3]=>[2,4,5,6,1,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,5,6,3,1,7]=>[2,4,5,6,3,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,5,6,3,7,1]=>[2,4,5,6,3,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,5,6,7,1,3]=>[2,4,5,6,1,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,5,6,7,3,1]=>[2,4,5,6,3,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,5,7,1,3,6]=>[2,4,5,1,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,5,7,1,6,3]=>[2,4,5,1,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,5,7,3,1,6]=>[2,4,5,3,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,5,7,3,6,1]=>[2,4,5,3,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,5,7,6,1,3]=>[2,4,5,6,1,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,5,7,6,3,1]=>[2,4,5,6,3,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,6,1,3,5,7]=>[2,4,6,1,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,4,6,1,3,7,5]=>[2,4,6,1,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,4,6,1,5,3,7]=>[2,4,6,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,4,6,1,5,7,3]=>[2,4,6,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,4,6,1,7,3,5]=>[2,4,6,1,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,4,6,1,7,5,3]=>[2,4,6,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,4,6,3,1,5,7]=>[2,4,6,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,6,3,1,7,5]=>[2,4,6,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,6,3,5,1,7]=>[2,4,6,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,6,3,5,7,1]=>[2,4,6,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,6,3,7,1,5]=>[2,4,6,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,6,3,7,5,1]=>[2,4,6,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,6,5,1,3,7]=>[2,4,6,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,4,6,5,1,7,3]=>[2,4,6,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,4,6,5,3,1,7]=>[2,4,6,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,4,6,5,3,7,1]=>[2,4,6,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,4,6,5,7,1,3]=>[2,4,6,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,4,6,5,7,3,1]=>[2,4,6,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,4,6,7,1,3,5]=>[2,4,6,1,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,4,6,7,1,5,3]=>[2,4,6,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,4,6,7,3,1,5]=>[2,4,6,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,6,7,3,5,1]=>[2,4,6,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,6,7,5,1,3]=>[2,4,6,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,4,6,7,5,3,1]=>[2,4,6,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,4,7,1,3,5,6]=>[2,4,1,3,5,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,7,1,3,6,5]=>[2,4,1,3,6,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,4,7,1,5,3,6]=>[2,4,1,5,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,7,1,5,6,3]=>[2,4,1,5,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,7,1,6,3,5]=>[2,4,1,6,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,4,7,1,6,5,3]=>[2,4,1,6,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,4,7,3,1,5,6]=>[2,4,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,7,3,1,6,5]=>[2,4,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,7,3,5,1,6]=>[2,4,3,5,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,7,3,5,6,1]=>[2,4,3,5,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,7,3,6,1,5]=>[2,4,3,6,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,7,3,6,5,1]=>[2,4,3,6,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,7,5,1,3,6]=>[2,4,5,1,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,7,5,1,6,3]=>[2,4,5,1,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,7,5,3,1,6]=>[2,4,5,3,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,7,5,3,6,1]=>[2,4,5,3,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,7,5,6,1,3]=>[2,4,5,6,1,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,4,7,5,6,3,1]=>[2,4,5,6,3,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,4,7,6,1,3,5]=>[2,4,6,1,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,4,7,6,1,5,3]=>[2,4,6,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,4,7,6,3,1,5]=>[2,4,6,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,7,6,3,5,1]=>[2,4,6,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,4,7,6,5,1,3]=>[2,4,6,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,4,7,6,5,3,1]=>[2,4,6,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,5,1,3,4,6,7]=>[2,5,1,3,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,5,1,3,4,7,6]=>[2,5,1,3,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,5,1,3,6,4,7]=>[2,5,1,3,6,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,5,1,3,6,7,4]=>[2,5,1,3,6,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,5,1,3,7,4,6]=>[2,5,1,3,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,5,1,3,7,6,4]=>[2,5,1,3,6,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,5,1,4,3,6,7]=>[2,5,1,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,1,4,3,7,6]=>[2,5,1,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,1,4,6,3,7]=>[2,5,1,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,1,4,6,7,3]=>[2,5,1,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,1,4,7,3,6]=>[2,5,1,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,1,4,7,6,3]=>[2,5,1,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,1,6,3,4,7]=>[2,5,1,6,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,5,1,6,3,7,4]=>[2,5,1,6,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,5,1,6,4,3,7]=>[2,5,1,6,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,1,6,4,7,3]=>[2,5,1,6,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,1,6,7,3,4]=>[2,5,1,6,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,5,1,6,7,4,3]=>[2,5,1,6,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,1,7,3,4,6]=>[2,5,1,3,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,5,1,7,3,6,4]=>[2,5,1,3,6,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,5,1,7,4,3,6]=>[2,5,1,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,1,7,4,6,3]=>[2,5,1,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,1,7,6,3,4]=>[2,5,1,6,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,5,1,7,6,4,3]=>[2,5,1,6,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,3,1,4,6,7]=>[2,5,3,1,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,5,3,1,4,7,6]=>[2,5,3,1,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,5,3,1,6,4,7]=>[2,5,3,1,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,3,1,6,7,4]=>[2,5,3,1,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,3,1,7,4,6]=>[2,5,3,1,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,5,3,1,7,6,4]=>[2,5,3,1,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,3,4,1,6,7]=>[2,5,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,5,3,4,1,7,6]=>[2,5,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,5,3,4,6,1,7]=>[2,5,3,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,5,3,4,6,7,1]=>[2,5,3,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,5,3,4,7,1,6]=>[2,5,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,5,3,4,7,6,1]=>[2,5,3,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,5,3,6,1,4,7]=>[2,5,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,3,6,1,7,4]=>[2,5,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,3,6,4,1,7]=>[2,5,3,6,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,3,6,4,7,1]=>[2,5,3,6,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,3,6,7,1,4]=>[2,5,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,3,6,7,4,1]=>[2,5,3,6,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,3,7,1,4,6]=>[2,5,3,1,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,5,3,7,1,6,4]=>[2,5,3,1,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,3,7,4,1,6]=>[2,5,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,5,3,7,4,6,1]=>[2,5,3,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,5,3,7,6,1,4]=>[2,5,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,3,7,6,4,1]=>[2,5,3,6,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,4,1,3,6,7]=>[2,5,4,1,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,4,1,3,7,6]=>[2,5,4,1,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,4,1,6,3,7]=>[2,5,4,1,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,4,1,6,7,3]=>[2,5,4,1,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,4,1,7,3,6]=>[2,5,4,1,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,4,1,7,6,3]=>[2,5,4,1,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,4,3,1,6,7]=>[2,5,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,5,4,3,1,7,6]=>[2,5,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,5,4,3,6,1,7]=>[2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,5,4,3,6,7,1]=>[2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,5,4,3,7,1,6]=>[2,5,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,5,4,3,7,6,1]=>[2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,5,4,6,1,3,7]=>[2,5,4,6,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,4,6,1,7,3]=>[2,5,4,6,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,4,6,3,1,7]=>[2,5,4,6,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,5,4,6,3,7,1]=>[2,5,4,6,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,5,4,6,7,1,3]=>[2,5,4,6,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,4,6,7,3,1]=>[2,5,4,6,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,5,4,7,1,3,6]=>[2,5,4,1,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,4,7,1,6,3]=>[2,5,4,1,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,4,7,3,1,6]=>[2,5,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,5,4,7,3,6,1]=>[2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,5,4,7,6,1,3]=>[2,5,4,6,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,4,7,6,3,1]=>[2,5,4,6,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,5,6,1,3,4,7]=>[2,5,6,1,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,5,6,1,3,7,4]=>[2,5,6,1,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,5,6,1,4,3,7]=>[2,5,6,1,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,6,1,4,7,3]=>[2,5,6,1,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,6,1,7,3,4]=>[2,5,6,1,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,5,6,1,7,4,3]=>[2,5,6,1,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,6,3,1,4,7]=>[2,5,6,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,6,3,1,7,4]=>[2,5,6,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,6,3,4,1,7]=>[2,5,6,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,6,3,4,7,1]=>[2,5,6,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,6,3,7,1,4]=>[2,5,6,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,6,3,7,4,1]=>[2,5,6,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,6,4,1,3,7]=>[2,5,6,4,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,6,4,1,7,3]=>[2,5,6,4,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,6,4,3,1,7]=>[2,5,6,4,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,5,6,4,3,7,1]=>[2,5,6,4,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,5,6,4,7,1,3]=>[2,5,6,4,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,6,4,7,3,1]=>[2,5,6,4,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,5,6,7,1,3,4]=>[2,5,6,1,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,5,6,7,1,4,3]=>[2,5,6,1,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,6,7,3,1,4]=>[2,5,6,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,6,7,3,4,1]=>[2,5,6,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,6,7,4,1,3]=>[2,5,6,4,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,6,7,4,3,1]=>[2,5,6,4,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,5,7,1,3,4,6]=>[2,5,1,3,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,5,7,1,3,6,4]=>[2,5,1,3,6,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,5,7,1,4,3,6]=>[2,5,1,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,7,1,4,6,3]=>[2,5,1,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,7,1,6,3,4]=>[2,5,1,6,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,5,7,1,6,4,3]=>[2,5,1,6,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,7,3,1,4,6]=>[2,5,3,1,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,5,7,3,1,6,4]=>[2,5,3,1,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,7,3,4,1,6]=>[2,5,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,5,7,3,4,6,1]=>[2,5,3,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,5,7,3,6,1,4]=>[2,5,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,7,3,6,4,1]=>[2,5,3,6,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,7,4,1,3,6]=>[2,5,4,1,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,7,4,1,6,3]=>[2,5,4,1,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,7,4,3,1,6]=>[2,5,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,5,7,4,3,6,1]=>[2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,5,7,4,6,1,3]=>[2,5,4,6,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,7,4,6,3,1]=>[2,5,4,6,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,5,7,6,1,3,4]=>[2,5,6,1,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,5,7,6,1,4,3]=>[2,5,6,1,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,7,6,3,1,4]=>[2,5,6,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,7,6,3,4,1]=>[2,5,6,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,5,7,6,4,1,3]=>[2,5,6,4,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,5,7,6,4,3,1]=>[2,5,6,4,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,6,1,3,4,5,7]=>[2,6,1,3,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,6,1,3,4,7,5]=>[2,6,1,3,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,6,1,3,5,4,7]=>[2,6,1,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,1,3,5,7,4]=>[2,6,1,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,1,3,7,4,5]=>[2,6,1,3,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,6,1,3,7,5,4]=>[2,6,1,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,1,4,3,5,7]=>[2,6,1,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,1,4,3,7,5]=>[2,6,1,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,1,4,5,3,7]=>[2,6,1,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,1,4,5,7,3]=>[2,6,1,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,1,4,7,3,5]=>[2,6,1,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,1,4,7,5,3]=>[2,6,1,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,1,5,3,4,7]=>[2,6,1,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,1,5,3,7,4]=>[2,6,1,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,1,5,4,3,7]=>[2,6,1,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,6,1,5,4,7,3]=>[2,6,1,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,6,1,5,7,3,4]=>[2,6,1,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,1,5,7,4,3]=>[2,6,1,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,6,1,7,3,4,5]=>[2,6,1,3,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,6,1,7,3,5,4]=>[2,6,1,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,1,7,4,3,5]=>[2,6,1,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,1,7,4,5,3]=>[2,6,1,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,1,7,5,3,4]=>[2,6,1,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,1,7,5,4,3]=>[2,6,1,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,6,3,1,4,5,7]=>[2,6,3,1,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,6,3,1,4,7,5]=>[2,6,3,1,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,6,3,1,5,4,7]=>[2,6,3,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,3,1,5,7,4]=>[2,6,3,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,3,1,7,4,5]=>[2,6,3,1,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,6,3,1,7,5,4]=>[2,6,3,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,3,4,1,5,7]=>[2,6,3,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,6,3,4,1,7,5]=>[2,6,3,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,6,3,4,5,1,7]=>[2,6,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,6,3,4,5,7,1]=>[2,6,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,6,3,4,7,1,5]=>[2,6,3,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,6,3,4,7,5,1]=>[2,6,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,6,3,5,1,4,7]=>[2,6,3,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,3,5,1,7,4]=>[2,6,3,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,3,5,4,1,7]=>[2,6,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,6,3,5,4,7,1]=>[2,6,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,6,3,5,7,1,4]=>[2,6,3,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,3,5,7,4,1]=>[2,6,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,6,3,7,1,4,5]=>[2,6,3,1,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,6,3,7,1,5,4]=>[2,6,3,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,3,7,4,1,5]=>[2,6,3,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,6,3,7,4,5,1]=>[2,6,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,6,3,7,5,1,4]=>[2,6,3,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,3,7,5,4,1]=>[2,6,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,6,4,1,3,5,7]=>[2,6,4,1,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,4,1,3,7,5]=>[2,6,4,1,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,4,1,5,3,7]=>[2,6,4,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,4,1,5,7,3]=>[2,6,4,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,4,1,7,3,5]=>[2,6,4,1,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,4,1,7,5,3]=>[2,6,4,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,4,3,1,5,7]=>[2,6,4,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,6,4,3,1,7,5]=>[2,6,4,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,6,4,3,5,1,7]=>[2,6,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,6,4,3,5,7,1]=>[2,6,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,6,4,3,7,1,5]=>[2,6,4,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,6,4,3,7,5,1]=>[2,6,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,6,4,5,1,3,7]=>[2,6,4,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,4,5,1,7,3]=>[2,6,4,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,4,5,3,1,7]=>[2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,6,4,5,3,7,1]=>[2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,6,4,5,7,1,3]=>[2,6,4,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,4,5,7,3,1]=>[2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,6,4,7,1,3,5]=>[2,6,4,1,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,4,7,1,5,3]=>[2,6,4,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,4,7,3,1,5]=>[2,6,4,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,6,4,7,3,5,1]=>[2,6,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,6,4,7,5,1,3]=>[2,6,4,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,4,7,5,3,1]=>[2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,6,5,1,3,4,7]=>[2,6,5,1,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,5,1,3,7,4]=>[2,6,5,1,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,5,1,4,3,7]=>[2,6,5,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,6,5,1,4,7,3]=>[2,6,5,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,6,5,1,7,3,4]=>[2,6,5,1,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,5,1,7,4,3]=>[2,6,5,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,6,5,3,1,4,7]=>[2,6,5,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,6,5,3,1,7,4]=>[2,6,5,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,6,5,3,4,1,7]=>[2,6,5,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,6,5,3,4,7,1]=>[2,6,5,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,6,5,3,7,1,4]=>[2,6,5,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,6,5,3,7,4,1]=>[2,6,5,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,6,5,4,1,3,7]=>[2,6,5,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,6,5,4,1,7,3]=>[2,6,5,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,6,5,4,3,1,7]=>[2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[2,6,5,4,3,7,1]=>[2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[2,6,5,4,7,1,3]=>[2,6,5,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,6,5,4,7,3,1]=>[2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[2,6,5,7,1,3,4]=>[2,6,5,1,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,5,7,1,4,3]=>[2,6,5,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,6,5,7,3,1,4]=>[2,6,5,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,6,5,7,3,4,1]=>[2,6,5,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,6,5,7,4,1,3]=>[2,6,5,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,6,5,7,4,3,1]=>[2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[2,6,7,1,3,4,5]=>[2,6,1,3,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,6,7,1,3,5,4]=>[2,6,1,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,7,1,4,3,5]=>[2,6,1,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,7,1,4,5,3]=>[2,6,1,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,7,1,5,3,4]=>[2,6,1,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,7,1,5,4,3]=>[2,6,1,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,6,7,3,1,4,5]=>[2,6,3,1,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,6,7,3,1,5,4]=>[2,6,3,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,7,3,4,1,5]=>[2,6,3,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,6,7,3,4,5,1]=>[2,6,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,6,7,3,5,1,4]=>[2,6,3,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,7,3,5,4,1]=>[2,6,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,6,7,4,1,3,5]=>[2,6,4,1,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,7,4,1,5,3]=>[2,6,4,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,7,4,3,1,5]=>[2,6,4,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,6,7,4,3,5,1]=>[2,6,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,6,7,4,5,1,3]=>[2,6,4,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,6,7,4,5,3,1]=>[2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,6,7,5,1,3,4]=>[2,6,5,1,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,6,7,5,1,4,3]=>[2,6,5,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,6,7,5,3,1,4]=>[2,6,5,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,6,7,5,3,4,1]=>[2,6,5,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,6,7,5,4,1,3]=>[2,6,5,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,6,7,5,4,3,1]=>[2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[2,7,1,3,4,5,6]=>[2,1,3,4,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,7,1,3,4,6,5]=>[2,1,3,4,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,7,1,3,5,4,6]=>[2,1,3,5,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,7,1,3,5,6,4]=>[2,1,3,5,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,7,1,3,6,4,5]=>[2,1,3,6,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,7,1,3,6,5,4]=>[2,1,3,6,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,7,1,4,3,5,6]=>[2,1,4,3,5,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,7,1,4,3,6,5]=>[2,1,4,3,6,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,7,1,4,5,3,6]=>[2,1,4,5,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,7,1,4,5,6,3]=>[2,1,4,5,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,7,1,4,6,3,5]=>[2,1,4,6,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,7,1,4,6,5,3]=>[2,1,4,6,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,7,1,5,3,4,6]=>[2,1,5,3,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,7,1,5,3,6,4]=>[2,1,5,3,6,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,7,1,5,4,3,6]=>[2,1,5,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,7,1,5,4,6,3]=>[2,1,5,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,7,1,5,6,3,4]=>[2,1,5,6,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,7,1,5,6,4,3]=>[2,1,5,6,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,7,1,6,3,4,5]=>[2,1,6,3,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,7,1,6,3,5,4]=>[2,1,6,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,7,1,6,4,3,5]=>[2,1,6,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,7,1,6,4,5,3]=>[2,1,6,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,7,1,6,5,3,4]=>[2,1,6,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,7,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,7,3,1,4,5,6]=>[2,3,1,4,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,7,3,1,4,6,5]=>[2,3,1,4,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,7,3,1,5,4,6]=>[2,3,1,5,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,7,3,1,5,6,4]=>[2,3,1,5,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,7,3,1,6,4,5]=>[2,3,1,6,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,7,3,1,6,5,4]=>[2,3,1,6,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,7,3,4,1,5,6]=>[2,3,4,1,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,7,3,4,1,6,5]=>[2,3,4,1,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,7,3,4,5,1,6]=>[2,3,4,5,1,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,7,3,4,5,6,1]=>[2,3,4,5,6,1]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[2,7,3,4,6,1,5]=>[2,3,4,6,1,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,7,3,4,6,5,1]=>[2,3,4,6,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,7,3,5,1,4,6]=>[2,3,5,1,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,7,3,5,1,6,4]=>[2,3,5,1,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,7,3,5,4,1,6]=>[2,3,5,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,7,3,5,4,6,1]=>[2,3,5,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,7,3,5,6,1,4]=>[2,3,5,6,1,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,7,3,5,6,4,1]=>[2,3,5,6,4,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,7,3,6,1,4,5]=>[2,3,6,1,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,7,3,6,1,5,4]=>[2,3,6,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,7,3,6,4,1,5]=>[2,3,6,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,7,3,6,4,5,1]=>[2,3,6,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,7,3,6,5,1,4]=>[2,3,6,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,7,3,6,5,4,1]=>[2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,7,4,1,3,5,6]=>[2,4,1,3,5,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,7,4,1,3,6,5]=>[2,4,1,3,6,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,7,4,1,5,3,6]=>[2,4,1,5,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,7,4,1,5,6,3]=>[2,4,1,5,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,7,4,1,6,3,5]=>[2,4,1,6,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,7,4,1,6,5,3]=>[2,4,1,6,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,7,4,3,1,5,6]=>[2,4,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,7,4,3,1,6,5]=>[2,4,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,7,4,3,5,1,6]=>[2,4,3,5,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,7,4,3,5,6,1]=>[2,4,3,5,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,7,4,3,6,1,5]=>[2,4,3,6,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,7,4,3,6,5,1]=>[2,4,3,6,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,7,4,5,1,3,6]=>[2,4,5,1,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,7,4,5,1,6,3]=>[2,4,5,1,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,7,4,5,3,1,6]=>[2,4,5,3,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,7,4,5,3,6,1]=>[2,4,5,3,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,7,4,5,6,1,3]=>[2,4,5,6,1,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[2,7,4,5,6,3,1]=>[2,4,5,6,3,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[2,7,4,6,1,3,5]=>[2,4,6,1,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[2,7,4,6,1,5,3]=>[2,4,6,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,7,4,6,3,1,5]=>[2,4,6,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,7,4,6,3,5,1]=>[2,4,6,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[2,7,4,6,5,1,3]=>[2,4,6,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,7,4,6,5,3,1]=>[2,4,6,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,7,5,1,3,4,6]=>[2,5,1,3,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[2,7,5,1,3,6,4]=>[2,5,1,3,6,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,7,5,1,4,3,6]=>[2,5,1,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,7,5,1,4,6,3]=>[2,5,1,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,7,5,1,6,3,4]=>[2,5,1,6,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,7,5,1,6,4,3]=>[2,5,1,6,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,7,5,3,1,4,6]=>[2,5,3,1,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,7,5,3,1,6,4]=>[2,5,3,1,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,7,5,3,4,1,6]=>[2,5,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,7,5,3,4,6,1]=>[2,5,3,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[2,7,5,3,6,1,4]=>[2,5,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,7,5,3,6,4,1]=>[2,5,3,6,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,7,5,4,1,3,6]=>[2,5,4,1,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,7,5,4,1,6,3]=>[2,5,4,1,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,7,5,4,3,1,6]=>[2,5,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,7,5,4,3,6,1]=>[2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,7,5,4,6,1,3]=>[2,5,4,6,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,7,5,4,6,3,1]=>[2,5,4,6,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,7,5,6,1,3,4]=>[2,5,6,1,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[2,7,5,6,1,4,3]=>[2,5,6,1,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,7,5,6,3,1,4]=>[2,5,6,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,7,5,6,3,4,1]=>[2,5,6,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[2,7,5,6,4,1,3]=>[2,5,6,4,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[2,7,5,6,4,3,1]=>[2,5,6,4,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[2,7,6,1,3,4,5]=>[2,6,1,3,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[2,7,6,1,3,5,4]=>[2,6,1,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,7,6,1,4,3,5]=>[2,6,1,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,7,6,1,4,5,3]=>[2,6,1,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,7,6,1,5,3,4]=>[2,6,1,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,7,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,7,6,3,1,4,5]=>[2,6,3,1,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,7,6,3,1,5,4]=>[2,6,3,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,7,6,3,4,1,5]=>[2,6,3,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,7,6,3,4,5,1]=>[2,6,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[2,7,6,3,5,1,4]=>[2,6,3,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,7,6,3,5,4,1]=>[2,6,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,7,6,4,1,3,5]=>[2,6,4,1,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,7,6,4,1,5,3]=>[2,6,4,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,7,6,4,3,1,5]=>[2,6,4,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,7,6,4,3,5,1]=>[2,6,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,7,6,4,5,1,3]=>[2,6,4,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[2,7,6,4,5,3,1]=>[2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[2,7,6,5,1,3,4]=>[2,6,5,1,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[2,7,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,7,6,5,3,1,4]=>[2,6,5,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,7,6,5,3,4,1]=>[2,6,5,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[2,7,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[3,1,2,4,5,6,7]=>[3,1,2,4,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[3,1,2,4,5,7,6]=>[3,1,2,4,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[3,1,2,4,6,5,7]=>[3,1,2,4,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,1,2,4,6,7,5]=>[3,1,2,4,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,1,2,4,7,5,6]=>[3,1,2,4,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[3,1,2,4,7,6,5]=>[3,1,2,4,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,1,2,5,4,6,7]=>[3,1,2,5,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,1,2,5,4,7,6]=>[3,1,2,5,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,1,2,5,6,4,7]=>[3,1,2,5,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,1,2,5,6,7,4]=>[3,1,2,5,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,1,2,5,7,4,6]=>[3,1,2,5,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,1,2,5,7,6,4]=>[3,1,2,5,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,1,2,6,4,5,7]=>[3,1,2,6,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,1,2,6,4,7,5]=>[3,1,2,6,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,1,2,6,5,4,7]=>[3,1,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,1,2,6,5,7,4]=>[3,1,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,1,2,6,7,4,5]=>[3,1,2,6,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,1,2,6,7,5,4]=>[3,1,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,1,2,7,4,5,6]=>[3,1,2,4,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[3,1,2,7,4,6,5]=>[3,1,2,4,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,1,2,7,5,4,6]=>[3,1,2,5,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,1,2,7,5,6,4]=>[3,1,2,5,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,1,2,7,6,4,5]=>[3,1,2,6,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,1,2,7,6,5,4]=>[3,1,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,1,4,2,5,6,7]=>[3,1,4,2,5,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,1,4,2,5,7,6]=>[3,1,4,2,5,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,1,4,2,6,5,7]=>[3,1,4,2,6,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,1,4,2,6,7,5]=>[3,1,4,2,6,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,1,4,2,7,5,6]=>[3,1,4,2,5,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,1,4,2,7,6,5]=>[3,1,4,2,6,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,1,4,5,2,6,7]=>[3,1,4,5,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,1,4,5,2,7,6]=>[3,1,4,5,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,1,4,5,6,2,7]=>[3,1,4,5,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,1,4,5,6,7,2]=>[3,1,4,5,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,1,4,5,7,2,6]=>[3,1,4,5,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,1,4,5,7,6,2]=>[3,1,4,5,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,1,4,6,2,5,7]=>[3,1,4,6,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,1,4,6,2,7,5]=>[3,1,4,6,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,1,4,6,5,2,7]=>[3,1,4,6,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,1,4,6,5,7,2]=>[3,1,4,6,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,1,4,6,7,2,5]=>[3,1,4,6,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,1,4,6,7,5,2]=>[3,1,4,6,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,1,4,7,2,5,6]=>[3,1,4,2,5,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,1,4,7,2,6,5]=>[3,1,4,2,6,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,1,4,7,5,2,6]=>[3,1,4,5,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,1,4,7,5,6,2]=>[3,1,4,5,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,1,4,7,6,2,5]=>[3,1,4,6,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,1,4,7,6,5,2]=>[3,1,4,6,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,1,5,2,4,6,7]=>[3,1,5,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,1,5,2,4,7,6]=>[3,1,5,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,1,5,2,6,4,7]=>[3,1,5,2,6,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,1,5,2,6,7,4]=>[3,1,5,2,6,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,1,5,2,7,4,6]=>[3,1,5,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,1,5,2,7,6,4]=>[3,1,5,2,6,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,1,5,4,2,6,7]=>[3,1,5,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,1,5,4,2,7,6]=>[3,1,5,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,1,5,4,6,2,7]=>[3,1,5,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,1,5,4,6,7,2]=>[3,1,5,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,1,5,4,7,2,6]=>[3,1,5,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,1,5,4,7,6,2]=>[3,1,5,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,1,5,6,2,4,7]=>[3,1,5,6,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,1,5,6,2,7,4]=>[3,1,5,6,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,1,5,6,4,2,7]=>[3,1,5,6,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,1,5,6,4,7,2]=>[3,1,5,6,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,1,5,6,7,2,4]=>[3,1,5,6,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,1,5,6,7,4,2]=>[3,1,5,6,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,1,5,7,2,4,6]=>[3,1,5,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,1,5,7,2,6,4]=>[3,1,5,2,6,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,1,5,7,4,2,6]=>[3,1,5,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,1,5,7,4,6,2]=>[3,1,5,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,1,5,7,6,2,4]=>[3,1,5,6,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,1,5,7,6,4,2]=>[3,1,5,6,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,1,6,2,4,5,7]=>[3,1,6,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,1,6,2,4,7,5]=>[3,1,6,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,1,6,2,5,4,7]=>[3,1,6,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,1,6,2,5,7,4]=>[3,1,6,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,1,6,2,7,4,5]=>[3,1,6,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,1,6,2,7,5,4]=>[3,1,6,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,1,6,4,2,5,7]=>[3,1,6,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,1,6,4,2,7,5]=>[3,1,6,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,1,6,4,5,2,7]=>[3,1,6,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,1,6,4,5,7,2]=>[3,1,6,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,1,6,4,7,2,5]=>[3,1,6,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,1,6,4,7,5,2]=>[3,1,6,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,1,6,5,2,4,7]=>[3,1,6,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,1,6,5,2,7,4]=>[3,1,6,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,1,6,5,4,2,7]=>[3,1,6,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,1,6,5,4,7,2]=>[3,1,6,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,1,6,5,7,2,4]=>[3,1,6,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,1,6,5,7,4,2]=>[3,1,6,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,1,6,7,2,4,5]=>[3,1,6,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,1,6,7,2,5,4]=>[3,1,6,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,1,6,7,4,2,5]=>[3,1,6,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,1,6,7,4,5,2]=>[3,1,6,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,1,6,7,5,2,4]=>[3,1,6,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,1,6,7,5,4,2]=>[3,1,6,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,1,7,2,4,5,6]=>[3,1,2,4,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[3,1,7,2,4,6,5]=>[3,1,2,4,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,1,7,2,5,4,6]=>[3,1,2,5,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,1,7,2,5,6,4]=>[3,1,2,5,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,1,7,2,6,4,5]=>[3,1,2,6,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,1,7,2,6,5,4]=>[3,1,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,1,7,4,2,5,6]=>[3,1,4,2,5,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,1,7,4,2,6,5]=>[3,1,4,2,6,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,1,7,4,5,2,6]=>[3,1,4,5,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,1,7,4,5,6,2]=>[3,1,4,5,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,1,7,4,6,2,5]=>[3,1,4,6,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,1,7,4,6,5,2]=>[3,1,4,6,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,1,7,5,2,4,6]=>[3,1,5,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,1,7,5,2,6,4]=>[3,1,5,2,6,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,1,7,5,4,2,6]=>[3,1,5,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,1,7,5,4,6,2]=>[3,1,5,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,1,7,5,6,2,4]=>[3,1,5,6,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,1,7,5,6,4,2]=>[3,1,5,6,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,1,7,6,2,4,5]=>[3,1,6,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,1,7,6,2,5,4]=>[3,1,6,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,1,7,6,4,2,5]=>[3,1,6,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,1,7,6,4,5,2]=>[3,1,6,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,1,7,6,5,2,4]=>[3,1,6,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,1,7,6,5,4,2]=>[3,1,6,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,2,1,4,5,6,7]=>[3,2,1,4,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,1,4,5,7,6]=>[3,2,1,4,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,1,4,6,5,7]=>[3,2,1,4,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,1,4,6,7,5]=>[3,2,1,4,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,1,4,7,5,6]=>[3,2,1,4,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,1,4,7,6,5]=>[3,2,1,4,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,1,5,4,6,7]=>[3,2,1,5,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,1,5,4,7,6]=>[3,2,1,5,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,1,5,6,4,7]=>[3,2,1,5,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,1,5,6,7,4]=>[3,2,1,5,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,1,5,7,4,6]=>[3,2,1,5,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,1,5,7,6,4]=>[3,2,1,5,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,1,6,4,5,7]=>[3,2,1,6,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,1,6,4,7,5]=>[3,2,1,6,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,1,6,5,4,7]=>[3,2,1,6,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,2,1,6,5,7,4]=>[3,2,1,6,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,2,1,6,7,4,5]=>[3,2,1,6,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,1,6,7,5,4]=>[3,2,1,6,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,2,1,7,4,5,6]=>[3,2,1,4,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,1,7,4,6,5]=>[3,2,1,4,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,1,7,5,4,6]=>[3,2,1,5,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,1,7,5,6,4]=>[3,2,1,5,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,1,7,6,4,5]=>[3,2,1,6,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,2,4,1,5,6,7]=>[3,2,4,1,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,4,1,5,7,6]=>[3,2,4,1,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,4,1,6,5,7]=>[3,2,4,1,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,4,1,6,7,5]=>[3,2,4,1,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,4,1,7,5,6]=>[3,2,4,1,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,4,1,7,6,5]=>[3,2,4,1,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,4,5,1,6,7]=>[3,2,4,5,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,4,5,1,7,6]=>[3,2,4,5,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,4,5,6,1,7]=>[3,2,4,5,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,4,5,6,7,1]=>[3,2,4,5,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,4,5,7,1,6]=>[3,2,4,5,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,4,5,7,6,1]=>[3,2,4,5,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,4,6,1,5,7]=>[3,2,4,6,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,4,6,1,7,5]=>[3,2,4,6,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,4,6,5,1,7]=>[3,2,4,6,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,4,6,5,7,1]=>[3,2,4,6,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,4,6,7,1,5]=>[3,2,4,6,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,4,6,7,5,1]=>[3,2,4,6,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,4,7,1,5,6]=>[3,2,4,1,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,4,7,1,6,5]=>[3,2,4,1,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,4,7,5,1,6]=>[3,2,4,5,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,4,7,5,6,1]=>[3,2,4,5,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,4,7,6,1,5]=>[3,2,4,6,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,4,7,6,5,1]=>[3,2,4,6,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,5,1,4,6,7]=>[3,2,5,1,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,1,4,7,6]=>[3,2,5,1,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,1,6,4,7]=>[3,2,5,1,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,1,6,7,4]=>[3,2,5,1,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,1,7,4,6]=>[3,2,5,1,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,1,7,6,4]=>[3,2,5,1,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,4,1,6,7]=>[3,2,5,4,1,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,4,1,7,6]=>[3,2,5,4,1,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,4,6,1,7]=>[3,2,5,4,6,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,4,6,7,1]=>[3,2,5,4,6,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,4,7,1,6]=>[3,2,5,4,1,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,4,7,6,1]=>[3,2,5,4,6,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,6,1,4,7]=>[3,2,5,6,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,6,1,7,4]=>[3,2,5,6,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,6,4,1,7]=>[3,2,5,6,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,6,4,7,1]=>[3,2,5,6,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,6,7,1,4]=>[3,2,5,6,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,6,7,4,1]=>[3,2,5,6,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,7,1,4,6]=>[3,2,5,1,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,7,1,6,4]=>[3,2,5,1,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,7,4,1,6]=>[3,2,5,4,1,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,7,4,6,1]=>[3,2,5,4,6,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,7,6,1,4]=>[3,2,5,6,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,5,7,6,4,1]=>[3,2,5,6,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,6,1,4,5,7]=>[3,2,6,1,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,6,1,4,7,5]=>[3,2,6,1,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,6,1,5,4,7]=>[3,2,6,1,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,2,6,1,5,7,4]=>[3,2,6,1,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,2,6,1,7,4,5]=>[3,2,6,1,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,6,1,7,5,4]=>[3,2,6,1,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,2,6,4,1,5,7]=>[3,2,6,4,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,6,4,1,7,5]=>[3,2,6,4,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,6,4,5,1,7]=>[3,2,6,4,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,6,4,5,7,1]=>[3,2,6,4,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,6,4,7,1,5]=>[3,2,6,4,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,6,4,7,5,1]=>[3,2,6,4,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,6,5,1,4,7]=>[3,2,6,5,1,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,2,6,5,1,7,4]=>[3,2,6,5,1,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,2,6,5,4,1,7]=>[3,2,6,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,2,6,5,4,7,1]=>[3,2,6,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,2,6,5,7,1,4]=>[3,2,6,5,1,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,2,6,5,7,4,1]=>[3,2,6,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,2,6,7,1,4,5]=>[3,2,6,1,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,6,7,1,5,4]=>[3,2,6,1,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,2,6,7,4,1,5]=>[3,2,6,4,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,6,7,4,5,1]=>[3,2,6,4,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,6,7,5,1,4]=>[3,2,6,5,1,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,2,6,7,5,4,1]=>[3,2,6,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,2,7,1,4,5,6]=>[3,2,1,4,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,7,1,4,6,5]=>[3,2,1,4,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,7,1,5,4,6]=>[3,2,1,5,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,7,1,5,6,4]=>[3,2,1,5,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,7,1,6,4,5]=>[3,2,1,6,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,7,1,6,5,4]=>[3,2,1,6,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,2,7,4,1,5,6]=>[3,2,4,1,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,7,4,1,6,5]=>[3,2,4,1,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,7,4,5,1,6]=>[3,2,4,5,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,7,4,5,6,1]=>[3,2,4,5,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,2,7,4,6,1,5]=>[3,2,4,6,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,7,4,6,5,1]=>[3,2,4,6,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,7,5,1,4,6]=>[3,2,5,1,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,7,5,1,6,4]=>[3,2,5,1,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,7,5,4,1,6]=>[3,2,5,4,1,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,7,5,4,6,1]=>[3,2,5,4,6,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,7,5,6,1,4]=>[3,2,5,6,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,7,5,6,4,1]=>[3,2,5,6,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,2,7,6,1,4,5]=>[3,2,6,1,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,7,6,1,5,4]=>[3,2,6,1,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,2,7,6,4,1,5]=>[3,2,6,4,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,7,6,4,5,1]=>[3,2,6,4,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,2,7,6,5,1,4]=>[3,2,6,5,1,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,4,1,2,5,6,7]=>[3,4,1,2,5,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,1,2,5,7,6]=>[3,4,1,2,5,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,1,2,6,5,7]=>[3,4,1,2,6,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,4,1,2,6,7,5]=>[3,4,1,2,6,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,4,1,2,7,5,6]=>[3,4,1,2,5,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,1,2,7,6,5]=>[3,4,1,2,6,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,4,1,5,2,6,7]=>[3,4,1,5,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,1,5,2,7,6]=>[3,4,1,5,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,1,5,6,2,7]=>[3,4,1,5,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,1,5,6,7,2]=>[3,4,1,5,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,1,5,7,2,6]=>[3,4,1,5,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,1,5,7,6,2]=>[3,4,1,5,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,1,6,2,5,7]=>[3,4,1,6,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,4,1,6,2,7,5]=>[3,4,1,6,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,4,1,6,5,2,7]=>[3,4,1,6,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,4,1,6,5,7,2]=>[3,4,1,6,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,4,1,6,7,2,5]=>[3,4,1,6,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,4,1,6,7,5,2]=>[3,4,1,6,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,4,1,7,2,5,6]=>[3,4,1,2,5,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,1,7,2,6,5]=>[3,4,1,2,6,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,4,1,7,5,2,6]=>[3,4,1,5,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,1,7,5,6,2]=>[3,4,1,5,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,1,7,6,2,5]=>[3,4,1,6,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,4,1,7,6,5,2]=>[3,4,1,6,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,4,2,1,5,6,7]=>[3,4,2,1,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,2,1,5,7,6]=>[3,4,2,1,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,2,1,6,5,7]=>[3,4,2,1,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,2,1,6,7,5]=>[3,4,2,1,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,2,1,7,5,6]=>[3,4,2,1,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,2,1,7,6,5]=>[3,4,2,1,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,2,5,1,6,7]=>[3,4,2,5,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,2,5,1,7,6]=>[3,4,2,5,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,2,5,6,1,7]=>[3,4,2,5,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,2,5,6,7,1]=>[3,4,2,5,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,2,5,7,1,6]=>[3,4,2,5,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,2,5,7,6,1]=>[3,4,2,5,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,2,6,1,5,7]=>[3,4,2,6,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,2,6,1,7,5]=>[3,4,2,6,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,2,6,5,1,7]=>[3,4,2,6,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,2,6,5,7,1]=>[3,4,2,6,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,2,6,7,1,5]=>[3,4,2,6,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,2,6,7,5,1]=>[3,4,2,6,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,2,7,1,5,6]=>[3,4,2,1,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,2,7,1,6,5]=>[3,4,2,1,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,2,7,5,1,6]=>[3,4,2,5,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,2,7,5,6,1]=>[3,4,2,5,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,2,7,6,1,5]=>[3,4,2,6,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,2,7,6,5,1]=>[3,4,2,6,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,5,1,2,6,7]=>[3,4,5,1,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,5,1,2,7,6]=>[3,4,5,1,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,5,1,6,2,7]=>[3,4,5,1,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,5,1,6,7,2]=>[3,4,5,1,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,5,1,7,2,6]=>[3,4,5,1,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,5,1,7,6,2]=>[3,4,5,1,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,5,2,1,6,7]=>[3,4,5,2,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,5,2,1,7,6]=>[3,4,5,2,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,5,2,6,1,7]=>[3,4,5,2,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,5,2,6,7,1]=>[3,4,5,2,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,5,2,7,1,6]=>[3,4,5,2,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,5,2,7,6,1]=>[3,4,5,2,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,5,6,1,2,7]=>[3,4,5,6,1,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,5,6,1,7,2]=>[3,4,5,6,1,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,5,6,2,1,7]=>[3,4,5,6,2,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,5,6,2,7,1]=>[3,4,5,6,2,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,5,6,7,1,2]=>[3,4,5,6,1,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,5,6,7,2,1]=>[3,4,5,6,2,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,5,7,1,2,6]=>[3,4,5,1,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,5,7,1,6,2]=>[3,4,5,1,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,5,7,2,1,6]=>[3,4,5,2,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,5,7,2,6,1]=>[3,4,5,2,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,5,7,6,1,2]=>[3,4,5,6,1,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,5,7,6,2,1]=>[3,4,5,6,2,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,6,1,2,5,7]=>[3,4,6,1,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,4,6,1,2,7,5]=>[3,4,6,1,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,4,6,1,5,2,7]=>[3,4,6,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,4,6,1,5,7,2]=>[3,4,6,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,4,6,1,7,2,5]=>[3,4,6,1,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,4,6,1,7,5,2]=>[3,4,6,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,4,6,2,1,5,7]=>[3,4,6,2,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,6,2,1,7,5]=>[3,4,6,2,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,6,2,5,1,7]=>[3,4,6,2,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,6,2,5,7,1]=>[3,4,6,2,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,6,2,7,1,5]=>[3,4,6,2,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,6,2,7,5,1]=>[3,4,6,2,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,6,5,1,2,7]=>[3,4,6,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,4,6,5,1,7,2]=>[3,4,6,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,4,6,5,2,1,7]=>[3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,4,6,5,2,7,1]=>[3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,4,6,5,7,1,2]=>[3,4,6,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,4,6,5,7,2,1]=>[3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,4,6,7,1,2,5]=>[3,4,6,1,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,4,6,7,1,5,2]=>[3,4,6,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,4,6,7,2,1,5]=>[3,4,6,2,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,6,7,2,5,1]=>[3,4,6,2,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,6,7,5,1,2]=>[3,4,6,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,4,6,7,5,2,1]=>[3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,4,7,1,2,5,6]=>[3,4,1,2,5,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,7,1,2,6,5]=>[3,4,1,2,6,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,4,7,1,5,2,6]=>[3,4,1,5,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,7,1,5,6,2]=>[3,4,1,5,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,7,1,6,2,5]=>[3,4,1,6,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,4,7,1,6,5,2]=>[3,4,1,6,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,4,7,2,1,5,6]=>[3,4,2,1,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,7,2,1,6,5]=>[3,4,2,1,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,7,2,5,1,6]=>[3,4,2,5,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,7,2,5,6,1]=>[3,4,2,5,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,7,2,6,1,5]=>[3,4,2,6,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,7,2,6,5,1]=>[3,4,2,6,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,7,5,1,2,6]=>[3,4,5,1,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,7,5,1,6,2]=>[3,4,5,1,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,7,5,2,1,6]=>[3,4,5,2,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,7,5,2,6,1]=>[3,4,5,2,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,7,5,6,1,2]=>[3,4,5,6,1,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,4,7,5,6,2,1]=>[3,4,5,6,2,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,4,7,6,1,2,5]=>[3,4,6,1,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,4,7,6,1,5,2]=>[3,4,6,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,4,7,6,2,1,5]=>[3,4,6,2,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,7,6,2,5,1]=>[3,4,6,2,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,4,7,6,5,1,2]=>[3,4,6,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,4,7,6,5,2,1]=>[3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,5,1,2,4,6,7]=>[3,5,1,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,5,1,2,4,7,6]=>[3,5,1,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,5,1,2,6,4,7]=>[3,5,1,2,6,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,5,1,2,6,7,4]=>[3,5,1,2,6,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,5,1,2,7,4,6]=>[3,5,1,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,5,1,2,7,6,4]=>[3,5,1,2,6,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,5,1,4,2,6,7]=>[3,5,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,1,4,2,7,6]=>[3,5,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,1,4,6,2,7]=>[3,5,1,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,1,4,6,7,2]=>[3,5,1,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,1,4,7,2,6]=>[3,5,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,1,4,7,6,2]=>[3,5,1,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,1,6,2,4,7]=>[3,5,1,6,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,5,1,6,2,7,4]=>[3,5,1,6,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,5,1,6,4,2,7]=>[3,5,1,6,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,1,6,4,7,2]=>[3,5,1,6,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,1,6,7,2,4]=>[3,5,1,6,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,5,1,6,7,4,2]=>[3,5,1,6,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,1,7,2,4,6]=>[3,5,1,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,5,1,7,2,6,4]=>[3,5,1,2,6,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,5,1,7,4,2,6]=>[3,5,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,1,7,4,6,2]=>[3,5,1,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,1,7,6,2,4]=>[3,5,1,6,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,5,1,7,6,4,2]=>[3,5,1,6,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,2,1,4,6,7]=>[3,5,2,1,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,1,4,7,6]=>[3,5,2,1,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,1,6,4,7]=>[3,5,2,1,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,1,6,7,4]=>[3,5,2,1,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,1,7,4,6]=>[3,5,2,1,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,1,7,6,4]=>[3,5,2,1,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,4,1,6,7]=>[3,5,2,4,1,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,4,1,7,6]=>[3,5,2,4,1,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,4,6,1,7]=>[3,5,2,4,6,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,4,6,7,1]=>[3,5,2,4,6,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,4,7,1,6]=>[3,5,2,4,1,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,4,7,6,1]=>[3,5,2,4,6,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,6,1,4,7]=>[3,5,2,6,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,6,1,7,4]=>[3,5,2,6,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,6,4,1,7]=>[3,5,2,6,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,6,4,7,1]=>[3,5,2,6,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,6,7,1,4]=>[3,5,2,6,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,6,7,4,1]=>[3,5,2,6,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,7,1,4,6]=>[3,5,2,1,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,7,1,6,4]=>[3,5,2,1,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,7,4,1,6]=>[3,5,2,4,1,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,7,4,6,1]=>[3,5,2,4,6,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,7,6,1,4]=>[3,5,2,6,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,2,7,6,4,1]=>[3,5,2,6,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,4,1,2,6,7]=>[3,5,4,1,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,4,1,2,7,6]=>[3,5,4,1,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,4,1,6,2,7]=>[3,5,4,1,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,4,1,6,7,2]=>[3,5,4,1,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,4,1,7,2,6]=>[3,5,4,1,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,4,1,7,6,2]=>[3,5,4,1,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,4,2,1,6,7]=>[3,5,4,2,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,5,4,2,1,7,6]=>[3,5,4,2,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,5,4,2,6,1,7]=>[3,5,4,2,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,5,4,2,6,7,1]=>[3,5,4,2,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,5,4,2,7,1,6]=>[3,5,4,2,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,5,4,2,7,6,1]=>[3,5,4,2,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,5,4,6,1,2,7]=>[3,5,4,6,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,4,6,1,7,2]=>[3,5,4,6,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,4,6,2,1,7]=>[3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,5,4,6,2,7,1]=>[3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,5,4,6,7,1,2]=>[3,5,4,6,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,4,6,7,2,1]=>[3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,5,4,7,1,2,6]=>[3,5,4,1,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,4,7,1,6,2]=>[3,5,4,1,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,4,7,2,1,6]=>[3,5,4,2,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,5,4,7,2,6,1]=>[3,5,4,2,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,5,4,7,6,1,2]=>[3,5,4,6,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,4,7,6,2,1]=>[3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,5,6,1,2,4,7]=>[3,5,6,1,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,5,6,1,2,7,4]=>[3,5,6,1,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,5,6,1,4,2,7]=>[3,5,6,1,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,6,1,4,7,2]=>[3,5,6,1,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,6,1,7,2,4]=>[3,5,6,1,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,5,6,1,7,4,2]=>[3,5,6,1,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,6,2,1,4,7]=>[3,5,6,2,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,6,2,1,7,4]=>[3,5,6,2,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,6,2,4,1,7]=>[3,5,6,2,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,6,2,4,7,1]=>[3,5,6,2,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,6,2,7,1,4]=>[3,5,6,2,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,6,2,7,4,1]=>[3,5,6,2,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,6,4,1,2,7]=>[3,5,6,4,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,6,4,1,7,2]=>[3,5,6,4,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,6,4,2,1,7]=>[3,5,6,4,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,5,6,4,2,7,1]=>[3,5,6,4,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,5,6,4,7,1,2]=>[3,5,6,4,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,6,4,7,2,1]=>[3,5,6,4,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,5,6,7,1,2,4]=>[3,5,6,1,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,5,6,7,1,4,2]=>[3,5,6,1,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,6,7,2,1,4]=>[3,5,6,2,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,6,7,2,4,1]=>[3,5,6,2,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,6,7,4,1,2]=>[3,5,6,4,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,6,7,4,2,1]=>[3,5,6,4,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,5,7,1,2,4,6]=>[3,5,1,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,5,7,1,2,6,4]=>[3,5,1,2,6,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,5,7,1,4,2,6]=>[3,5,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,7,1,4,6,2]=>[3,5,1,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,7,1,6,2,4]=>[3,5,1,6,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,5,7,1,6,4,2]=>[3,5,1,6,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,7,2,1,4,6]=>[3,5,2,1,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,7,2,1,6,4]=>[3,5,2,1,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,7,2,4,1,6]=>[3,5,2,4,1,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,7,2,4,6,1]=>[3,5,2,4,6,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,7,2,6,1,4]=>[3,5,2,6,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,7,2,6,4,1]=>[3,5,2,6,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,7,4,1,2,6]=>[3,5,4,1,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,7,4,1,6,2]=>[3,5,4,1,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,7,4,2,1,6]=>[3,5,4,2,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,5,7,4,2,6,1]=>[3,5,4,2,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,5,7,4,6,1,2]=>[3,5,4,6,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,7,4,6,2,1]=>[3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,5,7,6,1,2,4]=>[3,5,6,1,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,5,7,6,1,4,2]=>[3,5,6,1,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,7,6,2,1,4]=>[3,5,6,2,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,7,6,2,4,1]=>[3,5,6,2,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,5,7,6,4,1,2]=>[3,5,6,4,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,5,7,6,4,2,1]=>[3,5,6,4,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,6,1,2,4,5,7]=>[3,6,1,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,6,1,2,4,7,5]=>[3,6,1,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,6,1,2,5,4,7]=>[3,6,1,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,6,1,2,5,7,4]=>[3,6,1,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,6,1,2,7,4,5]=>[3,6,1,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,6,1,2,7,5,4]=>[3,6,1,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,6,1,4,2,5,7]=>[3,6,1,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,1,4,2,7,5]=>[3,6,1,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,1,4,5,2,7]=>[3,6,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,1,4,5,7,2]=>[3,6,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,1,4,7,2,5]=>[3,6,1,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,1,4,7,5,2]=>[3,6,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,1,5,2,4,7]=>[3,6,1,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,6,1,5,2,7,4]=>[3,6,1,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,6,1,5,4,2,7]=>[3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,6,1,5,4,7,2]=>[3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,6,1,5,7,2,4]=>[3,6,1,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,6,1,5,7,4,2]=>[3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,6,1,7,2,4,5]=>[3,6,1,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,6,1,7,2,5,4]=>[3,6,1,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,6,1,7,4,2,5]=>[3,6,1,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,1,7,4,5,2]=>[3,6,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,1,7,5,2,4]=>[3,6,1,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,6,1,7,5,4,2]=>[3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,6,2,1,4,5,7]=>[3,6,2,1,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,6,2,1,4,7,5]=>[3,6,2,1,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,6,2,1,5,4,7]=>[3,6,2,1,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,6,2,1,5,7,4]=>[3,6,2,1,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,6,2,1,7,4,5]=>[3,6,2,1,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,6,2,1,7,5,4]=>[3,6,2,1,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,6,2,4,1,5,7]=>[3,6,2,4,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,6,2,4,1,7,5]=>[3,6,2,4,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,6,2,4,5,1,7]=>[3,6,2,4,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,6,2,4,5,7,1]=>[3,6,2,4,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,6,2,4,7,1,5]=>[3,6,2,4,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,6,2,4,7,5,1]=>[3,6,2,4,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,6,2,5,1,4,7]=>[3,6,2,5,1,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,6,2,5,1,7,4]=>[3,6,2,5,1,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,6,2,5,4,1,7]=>[3,6,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,6,2,5,4,7,1]=>[3,6,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,6,2,5,7,1,4]=>[3,6,2,5,1,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,6,2,5,7,4,1]=>[3,6,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,6,2,7,1,4,5]=>[3,6,2,1,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,6,2,7,1,5,4]=>[3,6,2,1,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,6,2,7,4,1,5]=>[3,6,2,4,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,6,2,7,4,5,1]=>[3,6,2,4,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,6,2,7,5,1,4]=>[3,6,2,5,1,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,6,2,7,5,4,1]=>[3,6,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,6,4,1,2,5,7]=>[3,6,4,1,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,4,1,2,7,5]=>[3,6,4,1,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,4,1,5,2,7]=>[3,6,4,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,4,1,5,7,2]=>[3,6,4,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,4,1,7,2,5]=>[3,6,4,1,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,4,1,7,5,2]=>[3,6,4,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,4,2,1,5,7]=>[3,6,4,2,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,6,4,2,1,7,5]=>[3,6,4,2,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,6,4,2,5,1,7]=>[3,6,4,2,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,6,4,2,5,7,1]=>[3,6,4,2,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,6,4,2,7,1,5]=>[3,6,4,2,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,6,4,2,7,5,1]=>[3,6,4,2,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,6,4,5,1,2,7]=>[3,6,4,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,4,5,1,7,2]=>[3,6,4,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,4,5,2,1,7]=>[3,6,4,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,6,4,5,2,7,1]=>[3,6,4,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,6,4,5,7,1,2]=>[3,6,4,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,4,5,7,2,1]=>[3,6,4,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,6,4,7,1,2,5]=>[3,6,4,1,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,4,7,1,5,2]=>[3,6,4,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,4,7,2,1,5]=>[3,6,4,2,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,6,4,7,2,5,1]=>[3,6,4,2,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,6,4,7,5,1,2]=>[3,6,4,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,4,7,5,2,1]=>[3,6,4,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,6,5,1,2,4,7]=>[3,6,5,1,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,6,5,1,2,7,4]=>[3,6,5,1,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,6,5,1,4,2,7]=>[3,6,5,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,6,5,1,4,7,2]=>[3,6,5,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,6,5,1,7,2,4]=>[3,6,5,1,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,6,5,1,7,4,2]=>[3,6,5,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,6,5,2,1,4,7]=>[3,6,5,2,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,6,5,2,1,7,4]=>[3,6,5,2,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,6,5,2,4,1,7]=>[3,6,5,2,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,6,5,2,4,7,1]=>[3,6,5,2,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,6,5,2,7,1,4]=>[3,6,5,2,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,6,5,2,7,4,1]=>[3,6,5,2,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,6,5,4,1,2,7]=>[3,6,5,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,6,5,4,1,7,2]=>[3,6,5,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,6,5,4,2,1,7]=>[3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[3,6,5,4,2,7,1]=>[3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[3,6,5,4,7,1,2]=>[3,6,5,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,6,5,4,7,2,1]=>[3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[3,6,5,7,1,2,4]=>[3,6,5,1,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,6,5,7,1,4,2]=>[3,6,5,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,6,5,7,2,1,4]=>[3,6,5,2,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,6,5,7,2,4,1]=>[3,6,5,2,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,6,5,7,4,1,2]=>[3,6,5,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,6,5,7,4,2,1]=>[3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[3,6,7,1,2,4,5]=>[3,6,1,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,6,7,1,2,5,4]=>[3,6,1,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,6,7,1,4,2,5]=>[3,6,1,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,7,1,4,5,2]=>[3,6,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,7,1,5,2,4]=>[3,6,1,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,6,7,1,5,4,2]=>[3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,6,7,2,1,4,5]=>[3,6,2,1,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,6,7,2,1,5,4]=>[3,6,2,1,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,6,7,2,4,1,5]=>[3,6,2,4,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,6,7,2,4,5,1]=>[3,6,2,4,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,6,7,2,5,1,4]=>[3,6,2,5,1,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,6,7,2,5,4,1]=>[3,6,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,6,7,4,1,2,5]=>[3,6,4,1,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,7,4,1,5,2]=>[3,6,4,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,7,4,2,1,5]=>[3,6,4,2,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,6,7,4,2,5,1]=>[3,6,4,2,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,6,7,4,5,1,2]=>[3,6,4,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,6,7,4,5,2,1]=>[3,6,4,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,6,7,5,1,2,4]=>[3,6,5,1,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,6,7,5,1,4,2]=>[3,6,5,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,6,7,5,2,1,4]=>[3,6,5,2,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,6,7,5,2,4,1]=>[3,6,5,2,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,6,7,5,4,1,2]=>[3,6,5,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,6,7,5,4,2,1]=>[3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[3,7,1,2,4,5,6]=>[3,1,2,4,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[3,7,1,2,4,6,5]=>[3,1,2,4,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,7,1,2,5,4,6]=>[3,1,2,5,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,7,1,2,5,6,4]=>[3,1,2,5,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,7,1,2,6,4,5]=>[3,1,2,6,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,7,1,2,6,5,4]=>[3,1,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,7,1,4,2,5,6]=>[3,1,4,2,5,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,7,1,4,2,6,5]=>[3,1,4,2,6,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,7,1,4,5,2,6]=>[3,1,4,5,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,7,1,4,5,6,2]=>[3,1,4,5,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,7,1,4,6,2,5]=>[3,1,4,6,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,7,1,4,6,5,2]=>[3,1,4,6,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,7,1,5,2,4,6]=>[3,1,5,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,7,1,5,2,6,4]=>[3,1,5,2,6,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,7,1,5,4,2,6]=>[3,1,5,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,7,1,5,4,6,2]=>[3,1,5,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,7,1,5,6,2,4]=>[3,1,5,6,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,7,1,5,6,4,2]=>[3,1,5,6,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,7,1,6,2,4,5]=>[3,1,6,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,7,1,6,2,5,4]=>[3,1,6,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,7,1,6,4,2,5]=>[3,1,6,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,7,1,6,4,5,2]=>[3,1,6,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,7,1,6,5,2,4]=>[3,1,6,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,7,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,7,2,1,4,5,6]=>[3,2,1,4,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,7,2,1,4,6,5]=>[3,2,1,4,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,7,2,1,5,4,6]=>[3,2,1,5,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,7,2,1,5,6,4]=>[3,2,1,5,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,7,2,1,6,4,5]=>[3,2,1,6,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,7,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,7,2,4,1,5,6]=>[3,2,4,1,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,7,2,4,1,6,5]=>[3,2,4,1,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,7,2,4,5,1,6]=>[3,2,4,5,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,7,2,4,5,6,1]=>[3,2,4,5,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,7,2,4,6,1,5]=>[3,2,4,6,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,7,2,4,6,5,1]=>[3,2,4,6,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,7,2,5,1,4,6]=>[3,2,5,1,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,7,2,5,1,6,4]=>[3,2,5,1,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,7,2,5,4,1,6]=>[3,2,5,4,1,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,7,2,5,4,6,1]=>[3,2,5,4,6,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,7,2,5,6,1,4]=>[3,2,5,6,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,7,2,5,6,4,1]=>[3,2,5,6,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,7,2,6,1,4,5]=>[3,2,6,1,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,7,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,7,2,6,4,1,5]=>[3,2,6,4,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,7,2,6,4,5,1]=>[3,2,6,4,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,7,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,7,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,7,4,1,2,5,6]=>[3,4,1,2,5,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,7,4,1,2,6,5]=>[3,4,1,2,6,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,7,4,1,5,2,6]=>[3,4,1,5,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,7,4,1,5,6,2]=>[3,4,1,5,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,7,4,1,6,2,5]=>[3,4,1,6,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,7,4,1,6,5,2]=>[3,4,1,6,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,7,4,2,1,5,6]=>[3,4,2,1,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,7,4,2,1,6,5]=>[3,4,2,1,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,7,4,2,5,1,6]=>[3,4,2,5,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,7,4,2,5,6,1]=>[3,4,2,5,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,7,4,2,6,1,5]=>[3,4,2,6,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,7,4,2,6,5,1]=>[3,4,2,6,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,7,4,5,1,2,6]=>[3,4,5,1,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,7,4,5,1,6,2]=>[3,4,5,1,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,7,4,5,2,1,6]=>[3,4,5,2,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,7,4,5,2,6,1]=>[3,4,5,2,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,7,4,5,6,1,2]=>[3,4,5,6,1,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[3,7,4,5,6,2,1]=>[3,4,5,6,2,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[3,7,4,6,1,2,5]=>[3,4,6,1,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[3,7,4,6,1,5,2]=>[3,4,6,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,7,4,6,2,1,5]=>[3,4,6,2,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,7,4,6,2,5,1]=>[3,4,6,2,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,7,4,6,5,1,2]=>[3,4,6,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,7,4,6,5,2,1]=>[3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,7,5,1,2,4,6]=>[3,5,1,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[3,7,5,1,2,6,4]=>[3,5,1,2,6,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,7,5,1,4,2,6]=>[3,5,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,7,5,1,4,6,2]=>[3,5,1,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,7,5,1,6,2,4]=>[3,5,1,6,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,7,5,1,6,4,2]=>[3,5,1,6,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,7,5,2,1,4,6]=>[3,5,2,1,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,7,5,2,1,6,4]=>[3,5,2,1,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,7,5,2,4,1,6]=>[3,5,2,4,1,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,7,5,2,4,6,1]=>[3,5,2,4,6,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,7,5,2,6,1,4]=>[3,5,2,6,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,7,5,2,6,4,1]=>[3,5,2,6,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,7,5,4,1,2,6]=>[3,5,4,1,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,7,5,4,1,6,2]=>[3,5,4,1,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,7,5,4,2,1,6]=>[3,5,4,2,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,7,5,4,2,6,1]=>[3,5,4,2,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,7,5,4,6,1,2]=>[3,5,4,6,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,7,5,4,6,2,1]=>[3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,7,5,6,1,2,4]=>[3,5,6,1,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[3,7,5,6,1,4,2]=>[3,5,6,1,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,7,5,6,2,1,4]=>[3,5,6,2,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,7,5,6,2,4,1]=>[3,5,6,2,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[3,7,5,6,4,1,2]=>[3,5,6,4,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[3,7,5,6,4,2,1]=>[3,5,6,4,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[3,7,6,1,2,4,5]=>[3,6,1,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[3,7,6,1,2,5,4]=>[3,6,1,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,7,6,1,4,2,5]=>[3,6,1,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,7,6,1,4,5,2]=>[3,6,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,7,6,1,5,2,4]=>[3,6,1,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,7,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,7,6,2,1,4,5]=>[3,6,2,1,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,7,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,7,6,2,4,1,5]=>[3,6,2,4,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,7,6,2,4,5,1]=>[3,6,2,4,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[3,7,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[3,7,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,7,6,4,1,2,5]=>[3,6,4,1,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,7,6,4,1,5,2]=>[3,6,4,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,7,6,4,2,1,5]=>[3,6,4,2,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,7,6,4,2,5,1]=>[3,6,4,2,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,7,6,4,5,1,2]=>[3,6,4,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[3,7,6,4,5,2,1]=>[3,6,4,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[3,7,6,5,1,2,4]=>[3,6,5,1,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[3,7,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,7,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,7,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[3,7,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[4,1,2,3,5,6,7]=>[4,1,2,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[4,1,2,3,5,7,6]=>[4,1,2,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[4,1,2,3,6,5,7]=>[4,1,2,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,1,2,3,6,7,5]=>[4,1,2,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,1,2,3,7,5,6]=>[4,1,2,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[4,1,2,3,7,6,5]=>[4,1,2,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,1,2,5,3,6,7]=>[4,1,2,5,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,1,2,5,3,7,6]=>[4,1,2,5,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,1,2,5,6,3,7]=>[4,1,2,5,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,1,2,5,6,7,3]=>[4,1,2,5,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,1,2,5,7,3,6]=>[4,1,2,5,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,1,2,5,7,6,3]=>[4,1,2,5,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,1,2,6,3,5,7]=>[4,1,2,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,1,2,6,3,7,5]=>[4,1,2,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,1,2,6,5,3,7]=>[4,1,2,6,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,1,2,6,5,7,3]=>[4,1,2,6,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,1,2,6,7,3,5]=>[4,1,2,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,1,2,6,7,5,3]=>[4,1,2,6,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,1,2,7,3,5,6]=>[4,1,2,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[4,1,2,7,3,6,5]=>[4,1,2,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,1,2,7,5,3,6]=>[4,1,2,5,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,1,2,7,5,6,3]=>[4,1,2,5,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,1,2,7,6,3,5]=>[4,1,2,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,1,2,7,6,5,3]=>[4,1,2,6,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,1,3,2,5,6,7]=>[4,1,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,1,3,2,5,7,6]=>[4,1,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,1,3,2,6,5,7]=>[4,1,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,3,2,6,7,5]=>[4,1,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,3,2,7,5,6]=>[4,1,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,1,3,2,7,6,5]=>[4,1,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,3,5,2,6,7]=>[4,1,3,5,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,1,3,5,2,7,6]=>[4,1,3,5,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,1,3,5,6,2,7]=>[4,1,3,5,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,1,3,5,6,7,2]=>[4,1,3,5,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,1,3,5,7,2,6]=>[4,1,3,5,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,1,3,5,7,6,2]=>[4,1,3,5,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,1,3,6,2,5,7]=>[4,1,3,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,3,6,2,7,5]=>[4,1,3,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,3,6,5,2,7]=>[4,1,3,6,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,3,6,5,7,2]=>[4,1,3,6,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,3,6,7,2,5]=>[4,1,3,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,3,6,7,5,2]=>[4,1,3,6,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,3,7,2,5,6]=>[4,1,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,1,3,7,2,6,5]=>[4,1,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,3,7,5,2,6]=>[4,1,3,5,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,1,3,7,5,6,2]=>[4,1,3,5,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,1,3,7,6,2,5]=>[4,1,3,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,3,7,6,5,2]=>[4,1,3,6,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,5,2,3,6,7]=>[4,1,5,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,1,5,2,3,7,6]=>[4,1,5,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,1,5,2,6,3,7]=>[4,1,5,2,6,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,1,5,2,6,7,3]=>[4,1,5,2,6,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,1,5,2,7,3,6]=>[4,1,5,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,1,5,2,7,6,3]=>[4,1,5,2,6,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,1,5,3,2,6,7]=>[4,1,5,3,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,1,5,3,2,7,6]=>[4,1,5,3,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,1,5,3,6,2,7]=>[4,1,5,3,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,1,5,3,6,7,2]=>[4,1,5,3,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,1,5,3,7,2,6]=>[4,1,5,3,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,1,5,3,7,6,2]=>[4,1,5,3,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,1,5,6,2,3,7]=>[4,1,5,6,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,1,5,6,2,7,3]=>[4,1,5,6,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,1,5,6,3,2,7]=>[4,1,5,6,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,1,5,6,3,7,2]=>[4,1,5,6,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,1,5,6,7,2,3]=>[4,1,5,6,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,1,5,6,7,3,2]=>[4,1,5,6,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,1,5,7,2,3,6]=>[4,1,5,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,1,5,7,2,6,3]=>[4,1,5,2,6,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,1,5,7,3,2,6]=>[4,1,5,3,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,1,5,7,3,6,2]=>[4,1,5,3,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,1,5,7,6,2,3]=>[4,1,5,6,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,1,5,7,6,3,2]=>[4,1,5,6,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,1,6,2,3,5,7]=>[4,1,6,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,1,6,2,3,7,5]=>[4,1,6,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,1,6,2,5,3,7]=>[4,1,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,1,6,2,5,7,3]=>[4,1,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,1,6,2,7,3,5]=>[4,1,6,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,1,6,2,7,5,3]=>[4,1,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,1,6,3,2,5,7]=>[4,1,6,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,6,3,2,7,5]=>[4,1,6,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,6,3,5,2,7]=>[4,1,6,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,6,3,5,7,2]=>[4,1,6,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,6,3,7,2,5]=>[4,1,6,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,6,3,7,5,2]=>[4,1,6,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,6,5,2,3,7]=>[4,1,6,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,1,6,5,2,7,3]=>[4,1,6,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,1,6,5,3,2,7]=>[4,1,6,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,1,6,5,3,7,2]=>[4,1,6,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,1,6,5,7,2,3]=>[4,1,6,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,1,6,5,7,3,2]=>[4,1,6,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,1,6,7,2,3,5]=>[4,1,6,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,1,6,7,2,5,3]=>[4,1,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,1,6,7,3,2,5]=>[4,1,6,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,6,7,3,5,2]=>[4,1,6,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,6,7,5,2,3]=>[4,1,6,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,1,6,7,5,3,2]=>[4,1,6,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,1,7,2,3,5,6]=>[4,1,2,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[4,1,7,2,3,6,5]=>[4,1,2,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,1,7,2,5,3,6]=>[4,1,2,5,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,1,7,2,5,6,3]=>[4,1,2,5,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,1,7,2,6,3,5]=>[4,1,2,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,1,7,2,6,5,3]=>[4,1,2,6,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,1,7,3,2,5,6]=>[4,1,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,1,7,3,2,6,5]=>[4,1,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,7,3,5,2,6]=>[4,1,3,5,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,1,7,3,5,6,2]=>[4,1,3,5,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,1,7,3,6,2,5]=>[4,1,3,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,7,3,6,5,2]=>[4,1,3,6,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,7,5,2,3,6]=>[4,1,5,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,1,7,5,2,6,3]=>[4,1,5,2,6,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,1,7,5,3,2,6]=>[4,1,5,3,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,1,7,5,3,6,2]=>[4,1,5,3,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,1,7,5,6,2,3]=>[4,1,5,6,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,1,7,5,6,3,2]=>[4,1,5,6,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,1,7,6,2,3,5]=>[4,1,6,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,1,7,6,2,5,3]=>[4,1,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,1,7,6,3,2,5]=>[4,1,6,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,7,6,3,5,2]=>[4,1,6,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,1,7,6,5,2,3]=>[4,1,6,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,1,7,6,5,3,2]=>[4,1,6,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,2,1,3,5,6,7]=>[4,2,1,3,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,1,3,5,7,6]=>[4,2,1,3,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,1,3,6,5,7]=>[4,2,1,3,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,1,3,6,7,5]=>[4,2,1,3,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,1,3,7,5,6]=>[4,2,1,3,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,1,3,7,6,5]=>[4,2,1,3,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,1,5,3,6,7]=>[4,2,1,5,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,1,5,3,7,6]=>[4,2,1,5,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,1,5,6,3,7]=>[4,2,1,5,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,1,5,6,7,3]=>[4,2,1,5,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,1,5,7,3,6]=>[4,2,1,5,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,1,5,7,6,3]=>[4,2,1,5,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,1,6,3,5,7]=>[4,2,1,6,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,1,6,3,7,5]=>[4,2,1,6,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,1,6,5,3,7]=>[4,2,1,6,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,2,1,6,5,7,3]=>[4,2,1,6,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,2,1,6,7,3,5]=>[4,2,1,6,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,1,6,7,5,3]=>[4,2,1,6,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,2,1,7,3,5,6]=>[4,2,1,3,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,1,7,3,6,5]=>[4,2,1,3,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,1,7,5,3,6]=>[4,2,1,5,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,1,7,5,6,3]=>[4,2,1,5,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,1,7,6,3,5]=>[4,2,1,6,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,1,7,6,5,3]=>[4,2,1,6,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,2,3,1,5,6,7]=>[4,2,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,3,1,5,7,6]=>[4,2,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,3,1,6,5,7]=>[4,2,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,3,1,6,7,5]=>[4,2,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,3,1,7,5,6]=>[4,2,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,3,1,7,6,5]=>[4,2,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,3,5,1,6,7]=>[4,2,3,5,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,3,5,1,7,6]=>[4,2,3,5,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,3,5,6,1,7]=>[4,2,3,5,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,3,5,6,7,1]=>[4,2,3,5,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,3,5,7,1,6]=>[4,2,3,5,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,3,5,7,6,1]=>[4,2,3,5,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,3,6,1,5,7]=>[4,2,3,6,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,3,6,1,7,5]=>[4,2,3,6,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,3,6,5,1,7]=>[4,2,3,6,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,3,6,5,7,1]=>[4,2,3,6,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,3,6,7,1,5]=>[4,2,3,6,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,3,6,7,5,1]=>[4,2,3,6,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,3,7,1,5,6]=>[4,2,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,3,7,1,6,5]=>[4,2,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,3,7,5,1,6]=>[4,2,3,5,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,3,7,5,6,1]=>[4,2,3,5,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,3,7,6,1,5]=>[4,2,3,6,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,3,7,6,5,1]=>[4,2,3,6,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,5,1,3,6,7]=>[4,2,5,1,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,1,3,7,6]=>[4,2,5,1,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,1,6,3,7]=>[4,2,5,1,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,1,6,7,3]=>[4,2,5,1,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,1,7,3,6]=>[4,2,5,1,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,1,7,6,3]=>[4,2,5,1,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,3,1,6,7]=>[4,2,5,3,1,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,3,1,7,6]=>[4,2,5,3,1,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,3,6,1,7]=>[4,2,5,3,6,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,3,6,7,1]=>[4,2,5,3,6,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,3,7,1,6]=>[4,2,5,3,1,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,3,7,6,1]=>[4,2,5,3,6,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,6,1,3,7]=>[4,2,5,6,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,6,1,7,3]=>[4,2,5,6,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,6,3,1,7]=>[4,2,5,6,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,6,3,7,1]=>[4,2,5,6,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,6,7,1,3]=>[4,2,5,6,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,6,7,3,1]=>[4,2,5,6,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,7,1,3,6]=>[4,2,5,1,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,7,1,6,3]=>[4,2,5,1,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,7,3,1,6]=>[4,2,5,3,1,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,7,3,6,1]=>[4,2,5,3,6,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,7,6,1,3]=>[4,2,5,6,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,5,7,6,3,1]=>[4,2,5,6,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,6,1,3,5,7]=>[4,2,6,1,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,6,1,3,7,5]=>[4,2,6,1,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,6,1,5,3,7]=>[4,2,6,1,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,2,6,1,5,7,3]=>[4,2,6,1,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,2,6,1,7,3,5]=>[4,2,6,1,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,6,1,7,5,3]=>[4,2,6,1,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,2,6,3,1,5,7]=>[4,2,6,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,6,3,1,7,5]=>[4,2,6,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,6,3,5,1,7]=>[4,2,6,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,6,3,5,7,1]=>[4,2,6,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,6,3,7,1,5]=>[4,2,6,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,6,3,7,5,1]=>[4,2,6,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,6,5,1,3,7]=>[4,2,6,5,1,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,2,6,5,1,7,3]=>[4,2,6,5,1,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,2,6,5,3,1,7]=>[4,2,6,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,2,6,5,3,7,1]=>[4,2,6,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,2,6,5,7,1,3]=>[4,2,6,5,1,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,2,6,5,7,3,1]=>[4,2,6,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,2,6,7,1,3,5]=>[4,2,6,1,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,6,7,1,5,3]=>[4,2,6,1,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,2,6,7,3,1,5]=>[4,2,6,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,6,7,3,5,1]=>[4,2,6,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,6,7,5,1,3]=>[4,2,6,5,1,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,2,6,7,5,3,1]=>[4,2,6,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,2,7,1,3,5,6]=>[4,2,1,3,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,7,1,3,6,5]=>[4,2,1,3,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,7,1,5,3,6]=>[4,2,1,5,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,7,1,5,6,3]=>[4,2,1,5,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,7,1,6,3,5]=>[4,2,1,6,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,7,1,6,5,3]=>[4,2,1,6,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,2,7,3,1,5,6]=>[4,2,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,7,3,1,6,5]=>[4,2,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,7,3,5,1,6]=>[4,2,3,5,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,7,3,5,6,1]=>[4,2,3,5,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,2,7,3,6,1,5]=>[4,2,3,6,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,7,3,6,5,1]=>[4,2,3,6,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,7,5,1,3,6]=>[4,2,5,1,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,7,5,1,6,3]=>[4,2,5,1,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,7,5,3,1,6]=>[4,2,5,3,1,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,7,5,3,6,1]=>[4,2,5,3,6,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,7,5,6,1,3]=>[4,2,5,6,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,7,5,6,3,1]=>[4,2,5,6,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,2,7,6,1,3,5]=>[4,2,6,1,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,7,6,1,5,3]=>[4,2,6,1,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,2,7,6,3,1,5]=>[4,2,6,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,7,6,3,5,1]=>[4,2,6,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,2,7,6,5,1,3]=>[4,2,6,5,1,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,2,7,6,5,3,1]=>[4,2,6,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,3,1,2,5,6,7]=>[4,3,1,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,3,1,2,5,7,6]=>[4,3,1,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,3,1,2,6,5,7]=>[4,3,1,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,3,1,2,6,7,5]=>[4,3,1,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,3,1,2,7,5,6]=>[4,3,1,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,3,1,2,7,6,5]=>[4,3,1,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,3,1,5,2,6,7]=>[4,3,1,5,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,1,5,2,7,6]=>[4,3,1,5,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,1,5,6,2,7]=>[4,3,1,5,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,1,5,6,7,2]=>[4,3,1,5,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,1,5,7,2,6]=>[4,3,1,5,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,1,5,7,6,2]=>[4,3,1,5,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,1,6,2,5,7]=>[4,3,1,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,3,1,6,2,7,5]=>[4,3,1,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,3,1,6,5,2,7]=>[4,3,1,6,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,3,1,6,5,7,2]=>[4,3,1,6,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,3,1,6,7,2,5]=>[4,3,1,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,3,1,6,7,5,2]=>[4,3,1,6,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,3,1,7,2,5,6]=>[4,3,1,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,3,1,7,2,6,5]=>[4,3,1,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,3,1,7,5,2,6]=>[4,3,1,5,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,1,7,5,6,2]=>[4,3,1,5,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,1,7,6,2,5]=>[4,3,1,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,3,1,7,6,5,2]=>[4,3,1,6,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,3,2,1,5,6,7]=>[4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,2,1,5,7,6]=>[4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,2,1,6,5,7]=>[4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,2,1,6,7,5]=>[4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,2,1,7,5,6]=>[4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,2,1,7,6,5]=>[4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,2,5,1,6,7]=>[4,3,2,5,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,2,5,1,7,6]=>[4,3,2,5,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,2,5,6,1,7]=>[4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,2,5,6,7,1]=>[4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,2,5,7,1,6]=>[4,3,2,5,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,2,5,7,6,1]=>[4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,2,6,1,5,7]=>[4,3,2,6,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,2,6,1,7,5]=>[4,3,2,6,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,2,6,5,1,7]=>[4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,2,6,5,7,1]=>[4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,2,6,7,1,5]=>[4,3,2,6,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,2,6,7,5,1]=>[4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,2,7,1,5,6]=>[4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,2,7,1,6,5]=>[4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,2,7,5,1,6]=>[4,3,2,5,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,2,7,5,6,1]=>[4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,2,7,6,1,5]=>[4,3,2,6,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,2,7,6,5,1]=>[4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,5,1,2,6,7]=>[4,3,5,1,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,5,1,2,7,6]=>[4,3,5,1,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,5,1,6,2,7]=>[4,3,5,1,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,5,1,6,7,2]=>[4,3,5,1,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,5,1,7,2,6]=>[4,3,5,1,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,5,1,7,6,2]=>[4,3,5,1,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,5,2,1,6,7]=>[4,3,5,2,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,5,2,1,7,6]=>[4,3,5,2,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,5,2,6,1,7]=>[4,3,5,2,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,5,2,6,7,1]=>[4,3,5,2,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,5,2,7,1,6]=>[4,3,5,2,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,5,2,7,6,1]=>[4,3,5,2,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,5,6,1,2,7]=>[4,3,5,6,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,5,6,1,7,2]=>[4,3,5,6,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,5,6,2,1,7]=>[4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,5,6,2,7,1]=>[4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,5,6,7,1,2]=>[4,3,5,6,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,5,6,7,2,1]=>[4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,5,7,1,2,6]=>[4,3,5,1,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,5,7,1,6,2]=>[4,3,5,1,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,5,7,2,1,6]=>[4,3,5,2,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,5,7,2,6,1]=>[4,3,5,2,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,5,7,6,1,2]=>[4,3,5,6,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,5,7,6,2,1]=>[4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,6,1,2,5,7]=>[4,3,6,1,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,3,6,1,2,7,5]=>[4,3,6,1,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,3,6,1,5,2,7]=>[4,3,6,1,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,3,6,1,5,7,2]=>[4,3,6,1,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,3,6,1,7,2,5]=>[4,3,6,1,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,3,6,1,7,5,2]=>[4,3,6,1,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,3,6,2,1,5,7]=>[4,3,6,2,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,6,2,1,7,5]=>[4,3,6,2,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,6,2,5,1,7]=>[4,3,6,2,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,6,2,5,7,1]=>[4,3,6,2,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,6,2,7,1,5]=>[4,3,6,2,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,6,2,7,5,1]=>[4,3,6,2,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,6,5,1,2,7]=>[4,3,6,5,1,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,3,6,5,1,7,2]=>[4,3,6,5,1,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,3,6,5,2,1,7]=>[4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,6,5,2,7,1]=>[4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,6,5,7,1,2]=>[4,3,6,5,1,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,3,6,5,7,2,1]=>[4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,6,7,1,2,5]=>[4,3,6,1,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,3,6,7,1,5,2]=>[4,3,6,1,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,3,6,7,2,1,5]=>[4,3,6,2,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,6,7,2,5,1]=>[4,3,6,2,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,6,7,5,1,2]=>[4,3,6,5,1,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,3,6,7,5,2,1]=>[4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,7,1,2,5,6]=>[4,3,1,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,3,7,1,2,6,5]=>[4,3,1,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,3,7,1,5,2,6]=>[4,3,1,5,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,7,1,5,6,2]=>[4,3,1,5,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,7,1,6,2,5]=>[4,3,1,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,3,7,1,6,5,2]=>[4,3,1,6,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,3,7,2,1,5,6]=>[4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,7,2,1,6,5]=>[4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,7,2,5,1,6]=>[4,3,2,5,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,7,2,5,6,1]=>[4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,7,2,6,1,5]=>[4,3,2,6,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,7,2,6,5,1]=>[4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,7,5,1,2,6]=>[4,3,5,1,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,7,5,1,6,2]=>[4,3,5,1,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,7,5,2,1,6]=>[4,3,5,2,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,7,5,2,6,1]=>[4,3,5,2,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,7,5,6,1,2]=>[4,3,5,6,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,3,7,5,6,2,1]=>[4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,3,7,6,1,2,5]=>[4,3,6,1,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,3,7,6,1,5,2]=>[4,3,6,1,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,3,7,6,2,1,5]=>[4,3,6,2,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,7,6,2,5,1]=>[4,3,6,2,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,3,7,6,5,1,2]=>[4,3,6,5,1,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,3,7,6,5,2,1]=>[4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,5,1,2,3,6,7]=>[4,5,1,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,5,1,2,3,7,6]=>[4,5,1,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,5,1,2,6,3,7]=>[4,5,1,2,6,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,5,1,2,6,7,3]=>[4,5,1,2,6,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,5,1,2,7,3,6]=>[4,5,1,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,5,1,2,7,6,3]=>[4,5,1,2,6,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,5,1,3,2,6,7]=>[4,5,1,3,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,1,3,2,7,6]=>[4,5,1,3,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,1,3,6,2,7]=>[4,5,1,3,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,1,3,6,7,2]=>[4,5,1,3,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,1,3,7,2,6]=>[4,5,1,3,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,1,3,7,6,2]=>[4,5,1,3,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,1,6,2,3,7]=>[4,5,1,6,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,5,1,6,2,7,3]=>[4,5,1,6,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,5,1,6,3,2,7]=>[4,5,1,6,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,1,6,3,7,2]=>[4,5,1,6,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,1,6,7,2,3]=>[4,5,1,6,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,5,1,6,7,3,2]=>[4,5,1,6,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,1,7,2,3,6]=>[4,5,1,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,5,1,7,2,6,3]=>[4,5,1,2,6,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,5,1,7,3,2,6]=>[4,5,1,3,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,1,7,3,6,2]=>[4,5,1,3,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,1,7,6,2,3]=>[4,5,1,6,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,5,1,7,6,3,2]=>[4,5,1,6,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,2,1,3,6,7]=>[4,5,2,1,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,1,3,7,6]=>[4,5,2,1,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,1,6,3,7]=>[4,5,2,1,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,1,6,7,3]=>[4,5,2,1,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,1,7,3,6]=>[4,5,2,1,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,1,7,6,3]=>[4,5,2,1,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,3,1,6,7]=>[4,5,2,3,1,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,3,1,7,6]=>[4,5,2,3,1,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,3,6,1,7]=>[4,5,2,3,6,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,3,6,7,1]=>[4,5,2,3,6,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,3,7,1,6]=>[4,5,2,3,1,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,3,7,6,1]=>[4,5,2,3,6,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,6,1,3,7]=>[4,5,2,6,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,6,1,7,3]=>[4,5,2,6,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,6,3,1,7]=>[4,5,2,6,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,6,3,7,1]=>[4,5,2,6,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,6,7,1,3]=>[4,5,2,6,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,6,7,3,1]=>[4,5,2,6,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,7,1,3,6]=>[4,5,2,1,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,7,1,6,3]=>[4,5,2,1,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,7,3,1,6]=>[4,5,2,3,1,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,7,3,6,1]=>[4,5,2,3,6,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,7,6,1,3]=>[4,5,2,6,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,2,7,6,3,1]=>[4,5,2,6,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,3,1,2,6,7]=>[4,5,3,1,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,3,1,2,7,6]=>[4,5,3,1,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,3,1,6,2,7]=>[4,5,3,1,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,3,1,6,7,2]=>[4,5,3,1,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,3,1,7,2,6]=>[4,5,3,1,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,3,1,7,6,2]=>[4,5,3,1,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,3,2,1,6,7]=>[4,5,3,2,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,5,3,2,1,7,6]=>[4,5,3,2,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,5,3,2,6,1,7]=>[4,5,3,2,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,5,3,2,6,7,1]=>[4,5,3,2,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,5,3,2,7,1,6]=>[4,5,3,2,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,5,3,2,7,6,1]=>[4,5,3,2,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,5,3,6,1,2,7]=>[4,5,3,6,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,3,6,1,7,2]=>[4,5,3,6,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,3,6,2,1,7]=>[4,5,3,6,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,5,3,6,2,7,1]=>[4,5,3,6,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,5,3,6,7,1,2]=>[4,5,3,6,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,3,6,7,2,1]=>[4,5,3,6,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,5,3,7,1,2,6]=>[4,5,3,1,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,3,7,1,6,2]=>[4,5,3,1,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,3,7,2,1,6]=>[4,5,3,2,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,5,3,7,2,6,1]=>[4,5,3,2,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,5,3,7,6,1,2]=>[4,5,3,6,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,3,7,6,2,1]=>[4,5,3,6,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,5,6,1,2,3,7]=>[4,5,6,1,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,5,6,1,2,7,3]=>[4,5,6,1,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,5,6,1,3,2,7]=>[4,5,6,1,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,6,1,3,7,2]=>[4,5,6,1,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,6,1,7,2,3]=>[4,5,6,1,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,5,6,1,7,3,2]=>[4,5,6,1,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,6,2,1,3,7]=>[4,5,6,2,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,6,2,1,7,3]=>[4,5,6,2,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,6,2,3,1,7]=>[4,5,6,2,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,6,2,3,7,1]=>[4,5,6,2,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,6,2,7,1,3]=>[4,5,6,2,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,6,2,7,3,1]=>[4,5,6,2,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,6,3,1,2,7]=>[4,5,6,3,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,6,3,1,7,2]=>[4,5,6,3,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,6,3,2,1,7]=>[4,5,6,3,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,5,6,3,2,7,1]=>[4,5,6,3,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,5,6,3,7,1,2]=>[4,5,6,3,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,6,3,7,2,1]=>[4,5,6,3,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,5,6,7,1,2,3]=>[4,5,6,1,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,5,6,7,1,3,2]=>[4,5,6,1,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,6,7,2,1,3]=>[4,5,6,2,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,6,7,2,3,1]=>[4,5,6,2,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,6,7,3,1,2]=>[4,5,6,3,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,6,7,3,2,1]=>[4,5,6,3,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,5,7,1,2,3,6]=>[4,5,1,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,5,7,1,2,6,3]=>[4,5,1,2,6,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,5,7,1,3,2,6]=>[4,5,1,3,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,7,1,3,6,2]=>[4,5,1,3,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,7,1,6,2,3]=>[4,5,1,6,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,5,7,1,6,3,2]=>[4,5,1,6,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,7,2,1,3,6]=>[4,5,2,1,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,7,2,1,6,3]=>[4,5,2,1,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,7,2,3,1,6]=>[4,5,2,3,1,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,7,2,3,6,1]=>[4,5,2,3,6,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,7,2,6,1,3]=>[4,5,2,6,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,7,2,6,3,1]=>[4,5,2,6,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,7,3,1,2,6]=>[4,5,3,1,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,7,3,1,6,2]=>[4,5,3,1,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,7,3,2,1,6]=>[4,5,3,2,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,5,7,3,2,6,1]=>[4,5,3,2,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,5,7,3,6,1,2]=>[4,5,3,6,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,7,3,6,2,1]=>[4,5,3,6,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,5,7,6,1,2,3]=>[4,5,6,1,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,5,7,6,1,3,2]=>[4,5,6,1,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,7,6,2,1,3]=>[4,5,6,2,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,7,6,2,3,1]=>[4,5,6,2,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,5,7,6,3,1,2]=>[4,5,6,3,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,5,7,6,3,2,1]=>[4,5,6,3,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,6,1,2,3,5,7]=>[4,6,1,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,6,1,2,3,7,5]=>[4,6,1,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,6,1,2,5,3,7]=>[4,6,1,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,6,1,2,5,7,3]=>[4,6,1,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,6,1,2,7,3,5]=>[4,6,1,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,6,1,2,7,5,3]=>[4,6,1,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,6,1,3,2,5,7]=>[4,6,1,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,6,1,3,2,7,5]=>[4,6,1,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,6,1,3,5,2,7]=>[4,6,1,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,6,1,3,5,7,2]=>[4,6,1,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,6,1,3,7,2,5]=>[4,6,1,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,6,1,3,7,5,2]=>[4,6,1,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,6,1,5,2,3,7]=>[4,6,1,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,6,1,5,2,7,3]=>[4,6,1,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,6,1,5,3,2,7]=>[4,6,1,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,6,1,5,3,7,2]=>[4,6,1,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,6,1,5,7,2,3]=>[4,6,1,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,6,1,5,7,3,2]=>[4,6,1,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,6,1,7,2,3,5]=>[4,6,1,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,6,1,7,2,5,3]=>[4,6,1,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,6,1,7,3,2,5]=>[4,6,1,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,6,1,7,3,5,2]=>[4,6,1,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,6,1,7,5,2,3]=>[4,6,1,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,6,1,7,5,3,2]=>[4,6,1,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,6,2,1,3,5,7]=>[4,6,2,1,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,6,2,1,3,7,5]=>[4,6,2,1,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,6,2,1,5,3,7]=>[4,6,2,1,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,6,2,1,5,7,3]=>[4,6,2,1,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,6,2,1,7,3,5]=>[4,6,2,1,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,6,2,1,7,5,3]=>[4,6,2,1,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,6,2,3,1,5,7]=>[4,6,2,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,6,2,3,1,7,5]=>[4,6,2,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,6,2,3,5,1,7]=>[4,6,2,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,6,2,3,5,7,1]=>[4,6,2,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,6,2,3,7,1,5]=>[4,6,2,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,6,2,3,7,5,1]=>[4,6,2,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,6,2,5,1,3,7]=>[4,6,2,5,1,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,6,2,5,1,7,3]=>[4,6,2,5,1,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,6,2,5,3,1,7]=>[4,6,2,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,6,2,5,3,7,1]=>[4,6,2,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,6,2,5,7,1,3]=>[4,6,2,5,1,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,6,2,5,7,3,1]=>[4,6,2,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,6,2,7,1,3,5]=>[4,6,2,1,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,6,2,7,1,5,3]=>[4,6,2,1,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,6,2,7,3,1,5]=>[4,6,2,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,6,2,7,3,5,1]=>[4,6,2,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,6,2,7,5,1,3]=>[4,6,2,5,1,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,6,2,7,5,3,1]=>[4,6,2,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,6,3,1,2,5,7]=>[4,6,3,1,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,6,3,1,2,7,5]=>[4,6,3,1,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,6,3,1,5,2,7]=>[4,6,3,1,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,6,3,1,5,7,2]=>[4,6,3,1,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,6,3,1,7,2,5]=>[4,6,3,1,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,6,3,1,7,5,2]=>[4,6,3,1,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,6,3,2,1,5,7]=>[4,6,3,2,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,6,3,2,1,7,5]=>[4,6,3,2,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,6,3,2,5,1,7]=>[4,6,3,2,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,6,3,2,5,7,1]=>[4,6,3,2,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,6,3,2,7,1,5]=>[4,6,3,2,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,6,3,2,7,5,1]=>[4,6,3,2,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,6,3,5,1,2,7]=>[4,6,3,5,1,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,6,3,5,1,7,2]=>[4,6,3,5,1,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,6,3,5,2,1,7]=>[4,6,3,5,2,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,6,3,5,2,7,1]=>[4,6,3,5,2,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,6,3,5,7,1,2]=>[4,6,3,5,1,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,6,3,5,7,2,1]=>[4,6,3,5,2,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,6,3,7,1,2,5]=>[4,6,3,1,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,6,3,7,1,5,2]=>[4,6,3,1,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,6,3,7,2,1,5]=>[4,6,3,2,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,6,3,7,2,5,1]=>[4,6,3,2,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,6,3,7,5,1,2]=>[4,6,3,5,1,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,6,3,7,5,2,1]=>[4,6,3,5,2,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,6,5,1,2,3,7]=>[4,6,5,1,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,6,5,1,2,7,3]=>[4,6,5,1,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,6,5,1,3,2,7]=>[4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,6,5,1,3,7,2]=>[4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,6,5,1,7,2,3]=>[4,6,5,1,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,6,5,1,7,3,2]=>[4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,6,5,2,1,3,7]=>[4,6,5,2,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,6,5,2,1,7,3]=>[4,6,5,2,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,6,5,2,3,1,7]=>[4,6,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,6,5,2,3,7,1]=>[4,6,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,6,5,2,7,1,3]=>[4,6,5,2,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,6,5,2,7,3,1]=>[4,6,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,6,5,3,1,2,7]=>[4,6,5,3,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,6,5,3,1,7,2]=>[4,6,5,3,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,6,5,3,2,1,7]=>[4,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[4,6,5,3,2,7,1]=>[4,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[4,6,5,3,7,1,2]=>[4,6,5,3,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,6,5,3,7,2,1]=>[4,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[4,6,5,7,1,2,3]=>[4,6,5,1,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,6,5,7,1,3,2]=>[4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,6,5,7,2,1,3]=>[4,6,5,2,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,6,5,7,2,3,1]=>[4,6,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,6,5,7,3,1,2]=>[4,6,5,3,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,6,5,7,3,2,1]=>[4,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[4,6,7,1,2,3,5]=>[4,6,1,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,6,7,1,2,5,3]=>[4,6,1,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,6,7,1,3,2,5]=>[4,6,1,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,6,7,1,3,5,2]=>[4,6,1,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,6,7,1,5,2,3]=>[4,6,1,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,6,7,1,5,3,2]=>[4,6,1,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,6,7,2,1,3,5]=>[4,6,2,1,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,6,7,2,1,5,3]=>[4,6,2,1,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,6,7,2,3,1,5]=>[4,6,2,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,6,7,2,3,5,1]=>[4,6,2,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,6,7,2,5,1,3]=>[4,6,2,5,1,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,6,7,2,5,3,1]=>[4,6,2,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,6,7,3,1,2,5]=>[4,6,3,1,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,6,7,3,1,5,2]=>[4,6,3,1,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,6,7,3,2,1,5]=>[4,6,3,2,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,6,7,3,2,5,1]=>[4,6,3,2,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,6,7,3,5,1,2]=>[4,6,3,5,1,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,6,7,3,5,2,1]=>[4,6,3,5,2,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,6,7,5,1,2,3]=>[4,6,5,1,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,6,7,5,1,3,2]=>[4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,6,7,5,2,1,3]=>[4,6,5,2,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,6,7,5,2,3,1]=>[4,6,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,6,7,5,3,1,2]=>[4,6,5,3,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,6,7,5,3,2,1]=>[4,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[4,7,1,2,3,5,6]=>[4,1,2,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[4,7,1,2,3,6,5]=>[4,1,2,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,7,1,2,5,3,6]=>[4,1,2,5,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,7,1,2,5,6,3]=>[4,1,2,5,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,7,1,2,6,3,5]=>[4,1,2,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,7,1,2,6,5,3]=>[4,1,2,6,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,7,1,3,2,5,6]=>[4,1,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,7,1,3,2,6,5]=>[4,1,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,7,1,3,5,2,6]=>[4,1,3,5,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,7,1,3,5,6,2]=>[4,1,3,5,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,7,1,3,6,2,5]=>[4,1,3,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,7,1,3,6,5,2]=>[4,1,3,6,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,7,1,5,2,3,6]=>[4,1,5,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,7,1,5,2,6,3]=>[4,1,5,2,6,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,7,1,5,3,2,6]=>[4,1,5,3,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,7,1,5,3,6,2]=>[4,1,5,3,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,7,1,5,6,2,3]=>[4,1,5,6,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,7,1,5,6,3,2]=>[4,1,5,6,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,7,1,6,2,3,5]=>[4,1,6,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,7,1,6,2,5,3]=>[4,1,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,7,1,6,3,2,5]=>[4,1,6,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,7,1,6,3,5,2]=>[4,1,6,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,7,1,6,5,2,3]=>[4,1,6,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,7,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,7,2,1,3,5,6]=>[4,2,1,3,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,7,2,1,3,6,5]=>[4,2,1,3,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,7,2,1,5,3,6]=>[4,2,1,5,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,7,2,1,5,6,3]=>[4,2,1,5,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,7,2,1,6,3,5]=>[4,2,1,6,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,7,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,7,2,3,1,5,6]=>[4,2,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,7,2,3,1,6,5]=>[4,2,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,7,2,3,5,1,6]=>[4,2,3,5,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,7,2,3,5,6,1]=>[4,2,3,5,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[4,7,2,3,6,1,5]=>[4,2,3,6,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,7,2,3,6,5,1]=>[4,2,3,6,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,7,2,5,1,3,6]=>[4,2,5,1,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,7,2,5,1,6,3]=>[4,2,5,1,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,7,2,5,3,1,6]=>[4,2,5,3,1,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,7,2,5,3,6,1]=>[4,2,5,3,6,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,7,2,5,6,1,3]=>[4,2,5,6,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,7,2,5,6,3,1]=>[4,2,5,6,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,7,2,6,1,3,5]=>[4,2,6,1,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,7,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,7,2,6,3,1,5]=>[4,2,6,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,7,2,6,3,5,1]=>[4,2,6,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,7,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,7,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,7,3,1,2,5,6]=>[4,3,1,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[4,7,3,1,2,6,5]=>[4,3,1,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,7,3,1,5,2,6]=>[4,3,1,5,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,7,3,1,5,6,2]=>[4,3,1,5,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,7,3,1,6,2,5]=>[4,3,1,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,7,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,7,3,2,1,5,6]=>[4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,7,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,7,3,2,5,1,6]=>[4,3,2,5,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,7,3,2,5,6,1]=>[4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,7,3,2,6,1,5]=>[4,3,2,6,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,7,3,2,6,5,1]=>[4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,7,3,5,1,2,6]=>[4,3,5,1,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,7,3,5,1,6,2]=>[4,3,5,1,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,7,3,5,2,1,6]=>[4,3,5,2,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,7,3,5,2,6,1]=>[4,3,5,2,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,7,3,5,6,1,2]=>[4,3,5,6,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,7,3,5,6,2,1]=>[4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,7,3,6,1,2,5]=>[4,3,6,1,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,7,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,7,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,7,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,7,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,7,3,6,5,2,1]=>[4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,7,5,1,2,3,6]=>[4,5,1,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[4,7,5,1,2,6,3]=>[4,5,1,2,6,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,7,5,1,3,2,6]=>[4,5,1,3,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,7,5,1,3,6,2]=>[4,5,1,3,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,7,5,1,6,2,3]=>[4,5,1,6,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,7,5,1,6,3,2]=>[4,5,1,6,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,7,5,2,1,3,6]=>[4,5,2,1,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,7,5,2,1,6,3]=>[4,5,2,1,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,7,5,2,3,1,6]=>[4,5,2,3,1,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,7,5,2,3,6,1]=>[4,5,2,3,6,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,7,5,2,6,1,3]=>[4,5,2,6,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,7,5,2,6,3,1]=>[4,5,2,6,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,7,5,3,1,2,6]=>[4,5,3,1,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,7,5,3,1,6,2]=>[4,5,3,1,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,7,5,3,2,1,6]=>[4,5,3,2,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,7,5,3,2,6,1]=>[4,5,3,2,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,7,5,3,6,1,2]=>[4,5,3,6,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,7,5,3,6,2,1]=>[4,5,3,6,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,7,5,6,1,2,3]=>[4,5,6,1,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[4,7,5,6,1,3,2]=>[4,5,6,1,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,7,5,6,2,1,3]=>[4,5,6,2,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,7,5,6,2,3,1]=>[4,5,6,2,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[4,7,5,6,3,1,2]=>[4,5,6,3,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[4,7,5,6,3,2,1]=>[4,5,6,3,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[4,7,6,1,2,3,5]=>[4,6,1,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[4,7,6,1,2,5,3]=>[4,6,1,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,7,6,1,3,2,5]=>[4,6,1,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,7,6,1,3,5,2]=>[4,6,1,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,7,6,1,5,2,3]=>[4,6,1,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,7,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,7,6,2,1,3,5]=>[4,6,2,1,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,7,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,7,6,2,3,1,5]=>[4,6,2,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,7,6,2,3,5,1]=>[4,6,2,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[4,7,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[4,7,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,7,6,3,1,2,5]=>[4,6,3,1,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[4,7,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,7,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,7,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,7,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[4,7,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[4,7,6,5,1,2,3]=>[4,6,5,1,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[4,7,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,7,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,7,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[4,7,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[4,7,6,5,3,2,1]=>[4,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[5,1,2,3,4,6,7]=>[5,1,2,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[5,1,2,3,4,7,6]=>[5,1,2,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[5,1,2,3,6,4,7]=>[5,1,2,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,1,2,3,6,7,4]=>[5,1,2,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,1,2,3,7,4,6]=>[5,1,2,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[5,1,2,3,7,6,4]=>[5,1,2,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,1,2,4,3,6,7]=>[5,1,2,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,1,2,4,3,7,6]=>[5,1,2,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,1,2,4,6,3,7]=>[5,1,2,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,1,2,4,6,7,3]=>[5,1,2,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,1,2,4,7,3,6]=>[5,1,2,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,1,2,4,7,6,3]=>[5,1,2,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,1,2,6,3,4,7]=>[5,1,2,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,1,2,6,3,7,4]=>[5,1,2,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,1,2,6,4,3,7]=>[5,1,2,6,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,2,6,4,7,3]=>[5,1,2,6,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,2,6,7,3,4]=>[5,1,2,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,1,2,6,7,4,3]=>[5,1,2,6,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,2,7,3,4,6]=>[5,1,2,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[5,1,2,7,3,6,4]=>[5,1,2,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,1,2,7,4,3,6]=>[5,1,2,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,1,2,7,4,6,3]=>[5,1,2,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,1,2,7,6,3,4]=>[5,1,2,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,1,2,7,6,4,3]=>[5,1,2,6,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,3,2,4,6,7]=>[5,1,3,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,1,3,2,4,7,6]=>[5,1,3,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,1,3,2,6,4,7]=>[5,1,3,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,3,2,6,7,4]=>[5,1,3,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,3,2,7,4,6]=>[5,1,3,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,1,3,2,7,6,4]=>[5,1,3,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,3,4,2,6,7]=>[5,1,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,1,3,4,2,7,6]=>[5,1,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,1,3,4,6,2,7]=>[5,1,3,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,1,3,4,6,7,2]=>[5,1,3,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,1,3,4,7,2,6]=>[5,1,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,1,3,4,7,6,2]=>[5,1,3,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,1,3,6,2,4,7]=>[5,1,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,3,6,2,7,4]=>[5,1,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,3,6,4,2,7]=>[5,1,3,6,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,3,6,4,7,2]=>[5,1,3,6,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,3,6,7,2,4]=>[5,1,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,3,6,7,4,2]=>[5,1,3,6,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,3,7,2,4,6]=>[5,1,3,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,1,3,7,2,6,4]=>[5,1,3,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,3,7,4,2,6]=>[5,1,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,1,3,7,4,6,2]=>[5,1,3,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,1,3,7,6,2,4]=>[5,1,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,3,7,6,4,2]=>[5,1,3,6,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,4,2,3,6,7]=>[5,1,4,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,1,4,2,3,7,6]=>[5,1,4,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,1,4,2,6,3,7]=>[5,1,4,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,4,2,6,7,3]=>[5,1,4,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,4,2,7,3,6]=>[5,1,4,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,1,4,2,7,6,3]=>[5,1,4,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,4,3,2,6,7]=>[5,1,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,1,4,3,2,7,6]=>[5,1,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,1,4,3,6,2,7]=>[5,1,4,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,1,4,3,6,7,2]=>[5,1,4,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,1,4,3,7,2,6]=>[5,1,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,1,4,3,7,6,2]=>[5,1,4,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,1,4,6,2,3,7]=>[5,1,4,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,4,6,2,7,3]=>[5,1,4,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,4,6,3,2,7]=>[5,1,4,6,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,1,4,6,3,7,2]=>[5,1,4,6,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,1,4,6,7,2,3]=>[5,1,4,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,4,6,7,3,2]=>[5,1,4,6,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,1,4,7,2,3,6]=>[5,1,4,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,1,4,7,2,6,3]=>[5,1,4,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,4,7,3,2,6]=>[5,1,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,1,4,7,3,6,2]=>[5,1,4,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,1,4,7,6,2,3]=>[5,1,4,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,4,7,6,3,2]=>[5,1,4,6,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,1,6,2,3,4,7]=>[5,1,6,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,1,6,2,3,7,4]=>[5,1,6,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,1,6,2,4,3,7]=>[5,1,6,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,6,2,4,7,3]=>[5,1,6,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,6,2,7,3,4]=>[5,1,6,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,1,6,2,7,4,3]=>[5,1,6,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,6,3,2,4,7]=>[5,1,6,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,6,3,2,7,4]=>[5,1,6,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,6,3,4,2,7]=>[5,1,6,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,6,3,4,7,2]=>[5,1,6,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,6,3,7,2,4]=>[5,1,6,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,6,3,7,4,2]=>[5,1,6,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,6,4,2,3,7]=>[5,1,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,6,4,2,7,3]=>[5,1,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,6,4,3,2,7]=>[5,1,6,4,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,1,6,4,3,7,2]=>[5,1,6,4,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,1,6,4,7,2,3]=>[5,1,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,6,4,7,3,2]=>[5,1,6,4,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,1,6,7,2,3,4]=>[5,1,6,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,1,6,7,2,4,3]=>[5,1,6,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,6,7,3,2,4]=>[5,1,6,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,6,7,3,4,2]=>[5,1,6,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,6,7,4,2,3]=>[5,1,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,6,7,4,3,2]=>[5,1,6,4,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,1,7,2,3,4,6]=>[5,1,2,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[5,1,7,2,3,6,4]=>[5,1,2,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,1,7,2,4,3,6]=>[5,1,2,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,1,7,2,4,6,3]=>[5,1,2,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,1,7,2,6,3,4]=>[5,1,2,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,1,7,2,6,4,3]=>[5,1,2,6,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,7,3,2,4,6]=>[5,1,3,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,1,7,3,2,6,4]=>[5,1,3,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,7,3,4,2,6]=>[5,1,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,1,7,3,4,6,2]=>[5,1,3,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,1,7,3,6,2,4]=>[5,1,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,7,3,6,4,2]=>[5,1,3,6,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,7,4,2,3,6]=>[5,1,4,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,1,7,4,2,6,3]=>[5,1,4,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,7,4,3,2,6]=>[5,1,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,1,7,4,3,6,2]=>[5,1,4,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,1,7,4,6,2,3]=>[5,1,4,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,7,4,6,3,2]=>[5,1,4,6,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,1,7,6,2,3,4]=>[5,1,6,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,1,7,6,2,4,3]=>[5,1,6,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,7,6,3,2,4]=>[5,1,6,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,7,6,3,4,2]=>[5,1,6,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,1,7,6,4,2,3]=>[5,1,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,1,7,6,4,3,2]=>[5,1,6,4,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,2,1,3,4,6,7]=>[5,2,1,3,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,1,3,4,7,6]=>[5,2,1,3,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,1,3,6,4,7]=>[5,2,1,3,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,1,3,6,7,4]=>[5,2,1,3,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,1,3,7,4,6]=>[5,2,1,3,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,1,3,7,6,4]=>[5,2,1,3,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,1,4,3,6,7]=>[5,2,1,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,1,4,3,7,6]=>[5,2,1,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,1,4,6,3,7]=>[5,2,1,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,1,4,6,7,3]=>[5,2,1,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,1,4,7,3,6]=>[5,2,1,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,1,4,7,6,3]=>[5,2,1,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,1,6,3,4,7]=>[5,2,1,6,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,1,6,3,7,4]=>[5,2,1,6,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,1,6,4,3,7]=>[5,2,1,6,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,2,1,6,4,7,3]=>[5,2,1,6,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,2,1,6,7,3,4]=>[5,2,1,6,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,1,6,7,4,3]=>[5,2,1,6,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,2,1,7,3,4,6]=>[5,2,1,3,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,1,7,3,6,4]=>[5,2,1,3,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,1,7,4,3,6]=>[5,2,1,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,1,7,4,6,3]=>[5,2,1,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,1,7,6,3,4]=>[5,2,1,6,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,1,7,6,4,3]=>[5,2,1,6,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,2,3,1,4,6,7]=>[5,2,3,1,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,3,1,4,7,6]=>[5,2,3,1,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,3,1,6,4,7]=>[5,2,3,1,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,3,1,6,7,4]=>[5,2,3,1,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,3,1,7,4,6]=>[5,2,3,1,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,3,1,7,6,4]=>[5,2,3,1,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,3,4,1,6,7]=>[5,2,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,3,4,1,7,6]=>[5,2,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,3,4,6,1,7]=>[5,2,3,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,3,4,6,7,1]=>[5,2,3,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,3,4,7,1,6]=>[5,2,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,3,4,7,6,1]=>[5,2,3,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,3,6,1,4,7]=>[5,2,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,3,6,1,7,4]=>[5,2,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,3,6,4,1,7]=>[5,2,3,6,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,3,6,4,7,1]=>[5,2,3,6,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,3,6,7,1,4]=>[5,2,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,3,6,7,4,1]=>[5,2,3,6,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,3,7,1,4,6]=>[5,2,3,1,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,3,7,1,6,4]=>[5,2,3,1,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,3,7,4,1,6]=>[5,2,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,3,7,4,6,1]=>[5,2,3,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,3,7,6,1,4]=>[5,2,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,3,7,6,4,1]=>[5,2,3,6,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,4,1,3,6,7]=>[5,2,4,1,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,4,1,3,7,6]=>[5,2,4,1,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,4,1,6,3,7]=>[5,2,4,1,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,4,1,6,7,3]=>[5,2,4,1,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,4,1,7,3,6]=>[5,2,4,1,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,4,1,7,6,3]=>[5,2,4,1,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,4,3,1,6,7]=>[5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,2,4,3,1,7,6]=>[5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,2,4,3,6,1,7]=>[5,2,4,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,2,4,3,6,7,1]=>[5,2,4,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,2,4,3,7,1,6]=>[5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,2,4,3,7,6,1]=>[5,2,4,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,2,4,6,1,3,7]=>[5,2,4,6,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,4,6,1,7,3]=>[5,2,4,6,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,4,6,3,1,7]=>[5,2,4,6,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,2,4,6,3,7,1]=>[5,2,4,6,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,2,4,6,7,1,3]=>[5,2,4,6,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,4,6,7,3,1]=>[5,2,4,6,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,2,4,7,1,3,6]=>[5,2,4,1,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,4,7,1,6,3]=>[5,2,4,1,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,4,7,3,1,6]=>[5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,2,4,7,3,6,1]=>[5,2,4,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,2,4,7,6,1,3]=>[5,2,4,6,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,4,7,6,3,1]=>[5,2,4,6,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,2,6,1,3,4,7]=>[5,2,6,1,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,6,1,3,7,4]=>[5,2,6,1,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,6,1,4,3,7]=>[5,2,6,1,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,2,6,1,4,7,3]=>[5,2,6,1,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,2,6,1,7,3,4]=>[5,2,6,1,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,6,1,7,4,3]=>[5,2,6,1,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,2,6,3,1,4,7]=>[5,2,6,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,6,3,1,7,4]=>[5,2,6,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,6,3,4,1,7]=>[5,2,6,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,6,3,4,7,1]=>[5,2,6,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,6,3,7,1,4]=>[5,2,6,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,6,3,7,4,1]=>[5,2,6,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,6,4,1,3,7]=>[5,2,6,4,1,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,2,6,4,1,7,3]=>[5,2,6,4,1,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,2,6,4,3,1,7]=>[5,2,6,4,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,2,6,4,3,7,1]=>[5,2,6,4,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,2,6,4,7,1,3]=>[5,2,6,4,1,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,2,6,4,7,3,1]=>[5,2,6,4,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,2,6,7,1,3,4]=>[5,2,6,1,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,6,7,1,4,3]=>[5,2,6,1,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,2,6,7,3,1,4]=>[5,2,6,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,6,7,3,4,1]=>[5,2,6,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,6,7,4,1,3]=>[5,2,6,4,1,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,2,6,7,4,3,1]=>[5,2,6,4,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,2,7,1,3,4,6]=>[5,2,1,3,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,7,1,3,6,4]=>[5,2,1,3,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,7,1,4,3,6]=>[5,2,1,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,7,1,4,6,3]=>[5,2,1,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,7,1,6,3,4]=>[5,2,1,6,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,7,1,6,4,3]=>[5,2,1,6,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,2,7,3,1,4,6]=>[5,2,3,1,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,7,3,1,6,4]=>[5,2,3,1,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,7,3,4,1,6]=>[5,2,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,7,3,4,6,1]=>[5,2,3,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,2,7,3,6,1,4]=>[5,2,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,7,3,6,4,1]=>[5,2,3,6,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,7,4,1,3,6]=>[5,2,4,1,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,7,4,1,6,3]=>[5,2,4,1,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,7,4,3,1,6]=>[5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,2,7,4,3,6,1]=>[5,2,4,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,2,7,4,6,1,3]=>[5,2,4,6,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,2,7,4,6,3,1]=>[5,2,4,6,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,2,7,6,1,3,4]=>[5,2,6,1,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,7,6,1,4,3]=>[5,2,6,1,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,2,7,6,3,1,4]=>[5,2,6,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,7,6,3,4,1]=>[5,2,6,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,2,7,6,4,1,3]=>[5,2,6,4,1,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,2,7,6,4,3,1]=>[5,2,6,4,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,3,1,2,4,6,7]=>[5,3,1,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,3,1,2,4,7,6]=>[5,3,1,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,3,1,2,6,4,7]=>[5,3,1,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,3,1,2,6,7,4]=>[5,3,1,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,3,1,2,7,4,6]=>[5,3,1,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,3,1,2,7,6,4]=>[5,3,1,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,3,1,4,2,6,7]=>[5,3,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,1,4,2,7,6]=>[5,3,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,1,4,6,2,7]=>[5,3,1,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,1,4,6,7,2]=>[5,3,1,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,1,4,7,2,6]=>[5,3,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,1,4,7,6,2]=>[5,3,1,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,1,6,2,4,7]=>[5,3,1,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,3,1,6,2,7,4]=>[5,3,1,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,3,1,6,4,2,7]=>[5,3,1,6,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,3,1,6,4,7,2]=>[5,3,1,6,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,3,1,6,7,2,4]=>[5,3,1,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,3,1,6,7,4,2]=>[5,3,1,6,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,3,1,7,2,4,6]=>[5,3,1,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,3,1,7,2,6,4]=>[5,3,1,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,3,1,7,4,2,6]=>[5,3,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,1,7,4,6,2]=>[5,3,1,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,1,7,6,2,4]=>[5,3,1,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,3,1,7,6,4,2]=>[5,3,1,6,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,3,2,1,4,6,7]=>[5,3,2,1,4,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,2,1,4,7,6]=>[5,3,2,1,4,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,2,1,6,4,7]=>[5,3,2,1,6,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,2,1,6,7,4]=>[5,3,2,1,6,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,2,1,7,4,6]=>[5,3,2,1,4,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,2,1,7,6,4]=>[5,3,2,1,6,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,2,4,1,6,7]=>[5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,2,4,1,7,6]=>[5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,2,4,6,1,7]=>[5,3,2,4,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,2,4,6,7,1]=>[5,3,2,4,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,2,4,7,1,6]=>[5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,2,4,7,6,1]=>[5,3,2,4,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,2,6,1,4,7]=>[5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,2,6,1,7,4]=>[5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,2,6,4,1,7]=>[5,3,2,6,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,2,6,4,7,1]=>[5,3,2,6,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,2,6,7,1,4]=>[5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,2,6,7,4,1]=>[5,3,2,6,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,2,7,1,4,6]=>[5,3,2,1,4,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,2,7,1,6,4]=>[5,3,2,1,6,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,2,7,4,1,6]=>[5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,2,7,4,6,1]=>[5,3,2,4,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,2,7,6,1,4]=>[5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,2,7,6,4,1]=>[5,3,2,6,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,4,1,2,6,7]=>[5,3,4,1,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,4,1,2,7,6]=>[5,3,4,1,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,4,1,6,2,7]=>[5,3,4,1,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,4,1,6,7,2]=>[5,3,4,1,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,4,1,7,2,6]=>[5,3,4,1,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,4,1,7,6,2]=>[5,3,4,1,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,4,2,1,6,7]=>[5,3,4,2,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,4,2,1,7,6]=>[5,3,4,2,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,4,2,6,1,7]=>[5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,4,2,6,7,1]=>[5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,4,2,7,1,6]=>[5,3,4,2,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,4,2,7,6,1]=>[5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,4,6,1,2,7]=>[5,3,4,6,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,4,6,1,7,2]=>[5,3,4,6,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,4,6,2,1,7]=>[5,3,4,6,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,4,6,2,7,1]=>[5,3,4,6,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,4,6,7,1,2]=>[5,3,4,6,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,4,6,7,2,1]=>[5,3,4,6,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,4,7,1,2,6]=>[5,3,4,1,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,4,7,1,6,2]=>[5,3,4,1,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,4,7,2,1,6]=>[5,3,4,2,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,4,7,2,6,1]=>[5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,4,7,6,1,2]=>[5,3,4,6,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,4,7,6,2,1]=>[5,3,4,6,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,6,1,2,4,7]=>[5,3,6,1,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,3,6,1,2,7,4]=>[5,3,6,1,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,3,6,1,4,2,7]=>[5,3,6,1,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,3,6,1,4,7,2]=>[5,3,6,1,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,3,6,1,7,2,4]=>[5,3,6,1,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,3,6,1,7,4,2]=>[5,3,6,1,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,3,6,2,1,4,7]=>[5,3,6,2,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,6,2,1,7,4]=>[5,3,6,2,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,6,2,4,1,7]=>[5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,6,2,4,7,1]=>[5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,6,2,7,1,4]=>[5,3,6,2,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,6,2,7,4,1]=>[5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,6,4,1,2,7]=>[5,3,6,4,1,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,3,6,4,1,7,2]=>[5,3,6,4,1,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,3,6,4,2,1,7]=>[5,3,6,4,2,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,6,4,2,7,1]=>[5,3,6,4,2,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,6,4,7,1,2]=>[5,3,6,4,1,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,3,6,4,7,2,1]=>[5,3,6,4,2,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,6,7,1,2,4]=>[5,3,6,1,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,3,6,7,1,4,2]=>[5,3,6,1,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,3,6,7,2,1,4]=>[5,3,6,2,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,6,7,2,4,1]=>[5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,6,7,4,1,2]=>[5,3,6,4,1,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,3,6,7,4,2,1]=>[5,3,6,4,2,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,7,1,2,4,6]=>[5,3,1,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,3,7,1,2,6,4]=>[5,3,1,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,3,7,1,4,2,6]=>[5,3,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,7,1,4,6,2]=>[5,3,1,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,7,1,6,2,4]=>[5,3,1,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,3,7,1,6,4,2]=>[5,3,1,6,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,3,7,2,1,4,6]=>[5,3,2,1,4,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,7,2,1,6,4]=>[5,3,2,1,6,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,7,2,4,1,6]=>[5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,7,2,4,6,1]=>[5,3,2,4,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,7,2,6,1,4]=>[5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,7,2,6,4,1]=>[5,3,2,6,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,7,4,1,2,6]=>[5,3,4,1,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,7,4,1,6,2]=>[5,3,4,1,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,7,4,2,1,6]=>[5,3,4,2,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,7,4,2,6,1]=>[5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,7,4,6,1,2]=>[5,3,4,6,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,3,7,4,6,2,1]=>[5,3,4,6,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,3,7,6,1,2,4]=>[5,3,6,1,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,3,7,6,1,4,2]=>[5,3,6,1,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,3,7,6,2,1,4]=>[5,3,6,2,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,7,6,2,4,1]=>[5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,3,7,6,4,1,2]=>[5,3,6,4,1,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,3,7,6,4,2,1]=>[5,3,6,4,2,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,4,1,2,3,6,7]=>[5,4,1,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,4,1,2,3,7,6]=>[5,4,1,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,4,1,2,6,3,7]=>[5,4,1,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,4,1,2,6,7,3]=>[5,4,1,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,4,1,2,7,3,6]=>[5,4,1,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,4,1,2,7,6,3]=>[5,4,1,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,4,1,3,2,6,7]=>[5,4,1,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,4,1,3,2,7,6]=>[5,4,1,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,4,1,3,6,2,7]=>[5,4,1,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,4,1,3,6,7,2]=>[5,4,1,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,4,1,3,7,2,6]=>[5,4,1,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,4,1,3,7,6,2]=>[5,4,1,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,4,1,6,2,3,7]=>[5,4,1,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,4,1,6,2,7,3]=>[5,4,1,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,4,1,6,3,2,7]=>[5,4,1,6,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,1,6,3,7,2]=>[5,4,1,6,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,1,6,7,2,3]=>[5,4,1,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,4,1,6,7,3,2]=>[5,4,1,6,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,1,7,2,3,6]=>[5,4,1,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,4,1,7,2,6,3]=>[5,4,1,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,4,1,7,3,2,6]=>[5,4,1,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,4,1,7,3,6,2]=>[5,4,1,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,4,1,7,6,2,3]=>[5,4,1,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,4,1,7,6,3,2]=>[5,4,1,6,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,2,1,3,6,7]=>[5,4,2,1,3,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,4,2,1,3,7,6]=>[5,4,2,1,3,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,4,2,1,6,3,7]=>[5,4,2,1,6,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,2,1,6,7,3]=>[5,4,2,1,6,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,2,1,7,3,6]=>[5,4,2,1,3,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,4,2,1,7,6,3]=>[5,4,2,1,6,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,2,3,1,6,7]=>[5,4,2,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,4,2,3,1,7,6]=>[5,4,2,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,4,2,3,6,1,7]=>[5,4,2,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,4,2,3,6,7,1]=>[5,4,2,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,4,2,3,7,1,6]=>[5,4,2,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,4,2,3,7,6,1]=>[5,4,2,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,4,2,6,1,3,7]=>[5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,2,6,1,7,3]=>[5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,2,6,3,1,7]=>[5,4,2,6,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,2,6,3,7,1]=>[5,4,2,6,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,2,6,7,1,3]=>[5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,2,6,7,3,1]=>[5,4,2,6,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,2,7,1,3,6]=>[5,4,2,1,3,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,4,2,7,1,6,3]=>[5,4,2,1,6,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,2,7,3,1,6]=>[5,4,2,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,4,2,7,3,6,1]=>[5,4,2,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,4,2,7,6,1,3]=>[5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,2,7,6,3,1]=>[5,4,2,6,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,3,1,2,6,7]=>[5,4,3,1,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,4,3,1,2,7,6]=>[5,4,3,1,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,4,3,1,6,2,7]=>[5,4,3,1,6,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,3,1,6,7,2]=>[5,4,3,1,6,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,3,1,7,2,6]=>[5,4,3,1,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,4,3,1,7,6,2]=>[5,4,3,1,6,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,3,2,1,6,7]=>[5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,4,3,2,1,7,6]=>[5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,4,3,2,6,1,7]=>[5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,4,3,2,6,7,1]=>[5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,4,3,2,7,1,6]=>[5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,4,3,2,7,6,1]=>[5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,4,3,6,1,2,7]=>[5,4,3,6,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,3,6,1,7,2]=>[5,4,3,6,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,3,6,2,1,7]=>[5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,4,3,6,2,7,1]=>[5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,4,3,6,7,1,2]=>[5,4,3,6,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,3,6,7,2,1]=>[5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,4,3,7,1,2,6]=>[5,4,3,1,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,4,3,7,1,6,2]=>[5,4,3,1,6,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,3,7,2,1,6]=>[5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,4,3,7,2,6,1]=>[5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,4,3,7,6,1,2]=>[5,4,3,6,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,3,7,6,2,1]=>[5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,4,6,1,2,3,7]=>[5,4,6,1,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,4,6,1,2,7,3]=>[5,4,6,1,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,4,6,1,3,2,7]=>[5,4,6,1,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,6,1,3,7,2]=>[5,4,6,1,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,6,1,7,2,3]=>[5,4,6,1,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,4,6,1,7,3,2]=>[5,4,6,1,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,6,2,1,3,7]=>[5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,6,2,1,7,3]=>[5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,6,2,3,1,7]=>[5,4,6,2,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,6,2,3,7,1]=>[5,4,6,2,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,6,2,7,1,3]=>[5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,6,2,7,3,1]=>[5,4,6,2,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,6,3,1,2,7]=>[5,4,6,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,6,3,1,7,2]=>[5,4,6,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,6,3,2,1,7]=>[5,4,6,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,4,6,3,2,7,1]=>[5,4,6,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,4,6,3,7,1,2]=>[5,4,6,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,6,3,7,2,1]=>[5,4,6,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,4,6,7,1,2,3]=>[5,4,6,1,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,4,6,7,1,3,2]=>[5,4,6,1,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,6,7,2,1,3]=>[5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,6,7,2,3,1]=>[5,4,6,2,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,6,7,3,1,2]=>[5,4,6,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,6,7,3,2,1]=>[5,4,6,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,4,7,1,2,3,6]=>[5,4,1,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,4,7,1,2,6,3]=>[5,4,1,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,4,7,1,3,2,6]=>[5,4,1,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,4,7,1,3,6,2]=>[5,4,1,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,4,7,1,6,2,3]=>[5,4,1,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,4,7,1,6,3,2]=>[5,4,1,6,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,7,2,1,3,6]=>[5,4,2,1,3,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,4,7,2,1,6,3]=>[5,4,2,1,6,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,7,2,3,1,6]=>[5,4,2,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,4,7,2,3,6,1]=>[5,4,2,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,4,7,2,6,1,3]=>[5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,7,2,6,3,1]=>[5,4,2,6,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,7,3,1,2,6]=>[5,4,3,1,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,4,7,3,1,6,2]=>[5,4,3,1,6,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,7,3,2,1,6]=>[5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,4,7,3,2,6,1]=>[5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,4,7,3,6,1,2]=>[5,4,3,6,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,7,3,6,2,1]=>[5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,4,7,6,1,2,3]=>[5,4,6,1,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,4,7,6,1,3,2]=>[5,4,6,1,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,7,6,2,1,3]=>[5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,7,6,2,3,1]=>[5,4,6,2,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,4,7,6,3,1,2]=>[5,4,6,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,4,7,6,3,2,1]=>[5,4,6,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,6,1,2,3,4,7]=>[5,6,1,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,6,1,2,3,7,4]=>[5,6,1,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,6,1,2,4,3,7]=>[5,6,1,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,6,1,2,4,7,3]=>[5,6,1,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,6,1,2,7,3,4]=>[5,6,1,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,6,1,2,7,4,3]=>[5,6,1,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,6,1,3,2,4,7]=>[5,6,1,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,6,1,3,2,7,4]=>[5,6,1,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,6,1,3,4,2,7]=>[5,6,1,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,6,1,3,4,7,2]=>[5,6,1,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,6,1,3,7,2,4]=>[5,6,1,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,6,1,3,7,4,2]=>[5,6,1,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,6,1,4,2,3,7]=>[5,6,1,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,6,1,4,2,7,3]=>[5,6,1,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,6,1,4,3,2,7]=>[5,6,1,4,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,6,1,4,3,7,2]=>[5,6,1,4,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,6,1,4,7,2,3]=>[5,6,1,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,6,1,4,7,3,2]=>[5,6,1,4,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,6,1,7,2,3,4]=>[5,6,1,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,6,1,7,2,4,3]=>[5,6,1,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,6,1,7,3,2,4]=>[5,6,1,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,6,1,7,3,4,2]=>[5,6,1,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,6,1,7,4,2,3]=>[5,6,1,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,6,1,7,4,3,2]=>[5,6,1,4,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,6,2,1,3,4,7]=>[5,6,2,1,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,6,2,1,3,7,4]=>[5,6,2,1,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,6,2,1,4,3,7]=>[5,6,2,1,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,6,2,1,4,7,3]=>[5,6,2,1,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,6,2,1,7,3,4]=>[5,6,2,1,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,6,2,1,7,4,3]=>[5,6,2,1,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,6,2,3,1,4,7]=>[5,6,2,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,6,2,3,1,7,4]=>[5,6,2,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,6,2,3,4,1,7]=>[5,6,2,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,6,2,3,4,7,1]=>[5,6,2,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,6,2,3,7,1,4]=>[5,6,2,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,6,2,3,7,4,1]=>[5,6,2,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,6,2,4,1,3,7]=>[5,6,2,4,1,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,6,2,4,1,7,3]=>[5,6,2,4,1,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,6,2,4,3,1,7]=>[5,6,2,4,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,6,2,4,3,7,1]=>[5,6,2,4,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,6,2,4,7,1,3]=>[5,6,2,4,1,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,6,2,4,7,3,1]=>[5,6,2,4,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,6,2,7,1,3,4]=>[5,6,2,1,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,6,2,7,1,4,3]=>[5,6,2,1,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,6,2,7,3,1,4]=>[5,6,2,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,6,2,7,3,4,1]=>[5,6,2,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,6,2,7,4,1,3]=>[5,6,2,4,1,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,6,2,7,4,3,1]=>[5,6,2,4,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,6,3,1,2,4,7]=>[5,6,3,1,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,6,3,1,2,7,4]=>[5,6,3,1,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,6,3,1,4,2,7]=>[5,6,3,1,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,6,3,1,4,7,2]=>[5,6,3,1,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,6,3,1,7,2,4]=>[5,6,3,1,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,6,3,1,7,4,2]=>[5,6,3,1,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,6,3,2,1,4,7]=>[5,6,3,2,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,6,3,2,1,7,4]=>[5,6,3,2,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,6,3,2,4,1,7]=>[5,6,3,2,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,6,3,2,4,7,1]=>[5,6,3,2,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,6,3,2,7,1,4]=>[5,6,3,2,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,6,3,2,7,4,1]=>[5,6,3,2,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,6,3,4,1,2,7]=>[5,6,3,4,1,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,6,3,4,1,7,2]=>[5,6,3,4,1,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,6,3,4,2,1,7]=>[5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,6,3,4,2,7,1]=>[5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,6,3,4,7,1,2]=>[5,6,3,4,1,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,6,3,4,7,2,1]=>[5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,6,3,7,1,2,4]=>[5,6,3,1,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,6,3,7,1,4,2]=>[5,6,3,1,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,6,3,7,2,1,4]=>[5,6,3,2,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,6,3,7,2,4,1]=>[5,6,3,2,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,6,3,7,4,1,2]=>[5,6,3,4,1,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,6,3,7,4,2,1]=>[5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,6,4,1,2,3,7]=>[5,6,4,1,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,6,4,1,2,7,3]=>[5,6,4,1,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,6,4,1,3,2,7]=>[5,6,4,1,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,6,4,1,3,7,2]=>[5,6,4,1,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,6,4,1,7,2,3]=>[5,6,4,1,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,6,4,1,7,3,2]=>[5,6,4,1,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,6,4,2,1,3,7]=>[5,6,4,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,6,4,2,1,7,3]=>[5,6,4,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,6,4,2,3,1,7]=>[5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,6,4,2,3,7,1]=>[5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,6,4,2,7,1,3]=>[5,6,4,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,6,4,2,7,3,1]=>[5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,6,4,3,1,2,7]=>[5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,6,4,3,1,7,2]=>[5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,6,4,3,2,1,7]=>[5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,6,4,3,2,7,1]=>[5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,6,4,3,7,1,2]=>[5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,6,4,3,7,2,1]=>[5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,6,4,7,1,2,3]=>[5,6,4,1,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,6,4,7,1,3,2]=>[5,6,4,1,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,6,4,7,2,1,3]=>[5,6,4,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,6,4,7,2,3,1]=>[5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,6,4,7,3,1,2]=>[5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,6,4,7,3,2,1]=>[5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,6,7,1,2,3,4]=>[5,6,1,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,6,7,1,2,4,3]=>[5,6,1,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,6,7,1,3,2,4]=>[5,6,1,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,6,7,1,3,4,2]=>[5,6,1,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,6,7,1,4,2,3]=>[5,6,1,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,6,7,1,4,3,2]=>[5,6,1,4,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,6,7,2,1,3,4]=>[5,6,2,1,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,6,7,2,1,4,3]=>[5,6,2,1,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,6,7,2,3,1,4]=>[5,6,2,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,6,7,2,3,4,1]=>[5,6,2,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,6,7,2,4,1,3]=>[5,6,2,4,1,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,6,7,2,4,3,1]=>[5,6,2,4,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,6,7,3,1,2,4]=>[5,6,3,1,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,6,7,3,1,4,2]=>[5,6,3,1,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,6,7,3,2,1,4]=>[5,6,3,2,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,6,7,3,2,4,1]=>[5,6,3,2,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,6,7,3,4,1,2]=>[5,6,3,4,1,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,6,7,3,4,2,1]=>[5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,6,7,4,1,2,3]=>[5,6,4,1,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,6,7,4,1,3,2]=>[5,6,4,1,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,6,7,4,2,1,3]=>[5,6,4,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,6,7,4,2,3,1]=>[5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,6,7,4,3,1,2]=>[5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,6,7,4,3,2,1]=>[5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,7,1,2,3,4,6]=>[5,1,2,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[5,7,1,2,3,6,4]=>[5,1,2,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,7,1,2,4,3,6]=>[5,1,2,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,7,1,2,4,6,3]=>[5,1,2,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,7,1,2,6,3,4]=>[5,1,2,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,7,1,2,6,4,3]=>[5,1,2,6,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,7,1,3,2,4,6]=>[5,1,3,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,7,1,3,2,6,4]=>[5,1,3,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,7,1,3,4,2,6]=>[5,1,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,7,1,3,4,6,2]=>[5,1,3,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,7,1,3,6,2,4]=>[5,1,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,7,1,3,6,4,2]=>[5,1,3,6,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,7,1,4,2,3,6]=>[5,1,4,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,7,1,4,2,6,3]=>[5,1,4,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,7,1,4,3,2,6]=>[5,1,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,7,1,4,3,6,2]=>[5,1,4,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,7,1,4,6,2,3]=>[5,1,4,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,7,1,4,6,3,2]=>[5,1,4,6,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,7,1,6,2,3,4]=>[5,1,6,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,7,1,6,2,4,3]=>[5,1,6,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,7,1,6,3,2,4]=>[5,1,6,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,7,1,6,3,4,2]=>[5,1,6,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,7,1,6,4,2,3]=>[5,1,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,7,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,7,2,1,3,4,6]=>[5,2,1,3,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,7,2,1,3,6,4]=>[5,2,1,3,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,7,2,1,4,3,6]=>[5,2,1,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,7,2,1,4,6,3]=>[5,2,1,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,7,2,1,6,3,4]=>[5,2,1,6,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,7,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,7,2,3,1,4,6]=>[5,2,3,1,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,7,2,3,1,6,4]=>[5,2,3,1,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,7,2,3,4,1,6]=>[5,2,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,7,2,3,4,6,1]=>[5,2,3,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[5,7,2,3,6,1,4]=>[5,2,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,7,2,3,6,4,1]=>[5,2,3,6,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,7,2,4,1,3,6]=>[5,2,4,1,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,7,2,4,1,6,3]=>[5,2,4,1,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,7,2,4,3,1,6]=>[5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,7,2,4,3,6,1]=>[5,2,4,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,7,2,4,6,1,3]=>[5,2,4,6,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[5,7,2,4,6,3,1]=>[5,2,4,6,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,7,2,6,1,3,4]=>[5,2,6,1,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,7,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,7,2,6,3,1,4]=>[5,2,6,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,7,2,6,3,4,1]=>[5,2,6,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,7,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,7,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,7,3,1,2,4,6]=>[5,3,1,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[5,7,3,1,2,6,4]=>[5,3,1,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,7,3,1,4,2,6]=>[5,3,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,7,3,1,4,6,2]=>[5,3,1,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,7,3,1,6,2,4]=>[5,3,1,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,7,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,7,3,2,1,4,6]=>[5,3,2,1,4,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,7,3,2,1,6,4]=>[5,3,2,1,6,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,7,3,2,4,1,6]=>[5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,7,3,2,4,6,1]=>[5,3,2,4,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,7,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,7,3,2,6,4,1]=>[5,3,2,6,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,7,3,4,1,2,6]=>[5,3,4,1,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,7,3,4,1,6,2]=>[5,3,4,1,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,7,3,4,2,1,6]=>[5,3,4,2,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,7,3,4,2,6,1]=>[5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,7,3,4,6,1,2]=>[5,3,4,6,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[5,7,3,4,6,2,1]=>[5,3,4,6,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[5,7,3,6,1,2,4]=>[5,3,6,1,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,7,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,7,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,7,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,7,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,7,3,6,4,2,1]=>[5,3,6,4,2,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,7,4,1,2,3,6]=>[5,4,1,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[5,7,4,1,2,6,3]=>[5,4,1,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,7,4,1,3,2,6]=>[5,4,1,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,7,4,1,3,6,2]=>[5,4,1,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,7,4,1,6,2,3]=>[5,4,1,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,7,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,7,4,2,1,3,6]=>[5,4,2,1,3,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,7,4,2,1,6,3]=>[5,4,2,1,6,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,7,4,2,3,1,6]=>[5,4,2,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,7,4,2,3,6,1]=>[5,4,2,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[5,7,4,2,6,1,3]=>[5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,7,4,2,6,3,1]=>[5,4,2,6,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,7,4,3,1,2,6]=>[5,4,3,1,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[5,7,4,3,1,6,2]=>[5,4,3,1,6,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,7,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,7,4,3,2,6,1]=>[5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,7,4,3,6,1,2]=>[5,4,3,6,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,7,4,3,6,2,1]=>[5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,7,4,6,1,2,3]=>[5,4,6,1,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,7,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,7,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,7,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,7,4,6,3,1,2]=>[5,4,6,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,7,4,6,3,2,1]=>[5,4,6,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[5,7,6,1,2,3,4]=>[5,6,1,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[5,7,6,1,2,4,3]=>[5,6,1,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,7,6,1,3,2,4]=>[5,6,1,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,7,6,1,3,4,2]=>[5,6,1,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,7,6,1,4,2,3]=>[5,6,1,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,7,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,7,6,2,1,3,4]=>[5,6,2,1,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,7,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,7,6,2,3,1,4]=>[5,6,2,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,7,6,2,3,4,1]=>[5,6,2,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[5,7,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[5,7,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,7,6,3,1,2,4]=>[5,6,3,1,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[5,7,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,7,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,7,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,7,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[5,7,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[5,7,6,4,1,2,3]=>[5,6,4,1,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[5,7,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,7,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,7,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[5,7,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[5,7,6,4,3,2,1]=>[5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[6,1,2,3,4,5,7]=>[6,1,2,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[6,1,2,3,4,7,5]=>[6,1,2,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[6,1,2,3,5,4,7]=>[6,1,2,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,1,2,3,5,7,4]=>[6,1,2,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,1,2,3,7,4,5]=>[6,1,2,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[6,1,2,3,7,5,4]=>[6,1,2,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,1,2,4,3,5,7]=>[6,1,2,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,1,2,4,3,7,5]=>[6,1,2,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,1,2,4,5,3,7]=>[6,1,2,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,1,2,4,5,7,3]=>[6,1,2,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,1,2,4,7,3,5]=>[6,1,2,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,1,2,4,7,5,3]=>[6,1,2,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,1,2,5,3,4,7]=>[6,1,2,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,1,2,5,3,7,4]=>[6,1,2,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,1,2,5,4,3,7]=>[6,1,2,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,1,2,5,4,7,3]=>[6,1,2,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,1,2,5,7,3,4]=>[6,1,2,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,1,2,5,7,4,3]=>[6,1,2,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,1,2,7,3,4,5]=>[6,1,2,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[6,1,2,7,3,5,4]=>[6,1,2,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,1,2,7,4,3,5]=>[6,1,2,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,1,2,7,4,5,3]=>[6,1,2,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,1,2,7,5,3,4]=>[6,1,2,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,1,2,7,5,4,3]=>[6,1,2,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,1,3,2,4,5,7]=>[6,1,3,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,1,3,2,4,7,5]=>[6,1,3,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,1,3,2,5,4,7]=>[6,1,3,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,1,3,2,5,7,4]=>[6,1,3,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,1,3,2,7,4,5]=>[6,1,3,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,1,3,2,7,5,4]=>[6,1,3,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,1,3,4,2,5,7]=>[6,1,3,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,1,3,4,2,7,5]=>[6,1,3,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,1,3,4,5,2,7]=>[6,1,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,1,3,4,5,7,2]=>[6,1,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,1,3,4,7,2,5]=>[6,1,3,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,1,3,4,7,5,2]=>[6,1,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,1,3,5,2,4,7]=>[6,1,3,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,1,3,5,2,7,4]=>[6,1,3,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,1,3,5,4,2,7]=>[6,1,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,1,3,5,4,7,2]=>[6,1,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,1,3,5,7,2,4]=>[6,1,3,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,1,3,5,7,4,2]=>[6,1,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,1,3,7,2,4,5]=>[6,1,3,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,1,3,7,2,5,4]=>[6,1,3,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,1,3,7,4,2,5]=>[6,1,3,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,1,3,7,4,5,2]=>[6,1,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,1,3,7,5,2,4]=>[6,1,3,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,1,3,7,5,4,2]=>[6,1,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,1,4,2,3,5,7]=>[6,1,4,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,1,4,2,3,7,5]=>[6,1,4,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,1,4,2,5,3,7]=>[6,1,4,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,1,4,2,5,7,3]=>[6,1,4,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,1,4,2,7,3,5]=>[6,1,4,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,1,4,2,7,5,3]=>[6,1,4,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,1,4,3,2,5,7]=>[6,1,4,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,1,4,3,2,7,5]=>[6,1,4,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,1,4,3,5,2,7]=>[6,1,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,1,4,3,5,7,2]=>[6,1,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,1,4,3,7,2,5]=>[6,1,4,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,1,4,3,7,5,2]=>[6,1,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,1,4,5,2,3,7]=>[6,1,4,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,1,4,5,2,7,3]=>[6,1,4,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,1,4,5,3,2,7]=>[6,1,4,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,1,4,5,3,7,2]=>[6,1,4,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,1,4,5,7,2,3]=>[6,1,4,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,1,4,5,7,3,2]=>[6,1,4,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,1,4,7,2,3,5]=>[6,1,4,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,1,4,7,2,5,3]=>[6,1,4,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,1,4,7,3,2,5]=>[6,1,4,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,1,4,7,3,5,2]=>[6,1,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,1,4,7,5,2,3]=>[6,1,4,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,1,4,7,5,3,2]=>[6,1,4,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,1,5,2,3,4,7]=>[6,1,5,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,1,5,2,3,7,4]=>[6,1,5,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,1,5,2,4,3,7]=>[6,1,5,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,1,5,2,4,7,3]=>[6,1,5,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,1,5,2,7,3,4]=>[6,1,5,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,1,5,2,7,4,3]=>[6,1,5,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,1,5,3,2,4,7]=>[6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,1,5,3,2,7,4]=>[6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,1,5,3,4,2,7]=>[6,1,5,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,1,5,3,4,7,2]=>[6,1,5,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,1,5,3,7,2,4]=>[6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,1,5,3,7,4,2]=>[6,1,5,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,1,5,4,2,3,7]=>[6,1,5,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,1,5,4,2,7,3]=>[6,1,5,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,1,5,4,3,2,7]=>[6,1,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,1,5,4,3,7,2]=>[6,1,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,1,5,4,7,2,3]=>[6,1,5,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,1,5,4,7,3,2]=>[6,1,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,1,5,7,2,3,4]=>[6,1,5,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,1,5,7,2,4,3]=>[6,1,5,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,1,5,7,3,2,4]=>[6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,1,5,7,3,4,2]=>[6,1,5,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,1,5,7,4,2,3]=>[6,1,5,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,1,5,7,4,3,2]=>[6,1,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,1,7,2,3,4,5]=>[6,1,2,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[6,1,7,2,3,5,4]=>[6,1,2,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,1,7,2,4,3,5]=>[6,1,2,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,1,7,2,4,5,3]=>[6,1,2,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,1,7,2,5,3,4]=>[6,1,2,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,1,7,2,5,4,3]=>[6,1,2,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,1,7,3,2,4,5]=>[6,1,3,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,1,7,3,2,5,4]=>[6,1,3,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,1,7,3,4,2,5]=>[6,1,3,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,1,7,3,4,5,2]=>[6,1,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,1,7,3,5,2,4]=>[6,1,3,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,1,7,3,5,4,2]=>[6,1,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,1,7,4,2,3,5]=>[6,1,4,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,1,7,4,2,5,3]=>[6,1,4,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,1,7,4,3,2,5]=>[6,1,4,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,1,7,4,3,5,2]=>[6,1,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,1,7,4,5,2,3]=>[6,1,4,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,1,7,4,5,3,2]=>[6,1,4,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,1,7,5,2,3,4]=>[6,1,5,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,1,7,5,2,4,3]=>[6,1,5,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,1,7,5,3,2,4]=>[6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,1,7,5,3,4,2]=>[6,1,5,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,1,7,5,4,2,3]=>[6,1,5,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,1,7,5,4,3,2]=>[6,1,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,2,1,3,4,5,7]=>[6,2,1,3,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,1,3,4,7,5]=>[6,2,1,3,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,1,3,5,4,7]=>[6,2,1,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,1,3,5,7,4]=>[6,2,1,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,1,3,7,4,5]=>[6,2,1,3,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,1,3,7,5,4]=>[6,2,1,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,1,4,3,5,7]=>[6,2,1,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,1,4,3,7,5]=>[6,2,1,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,1,4,5,3,7]=>[6,2,1,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,1,4,5,7,3]=>[6,2,1,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,1,4,7,3,5]=>[6,2,1,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,1,4,7,5,3]=>[6,2,1,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,1,5,3,4,7]=>[6,2,1,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,1,5,3,7,4]=>[6,2,1,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,1,5,4,3,7]=>[6,2,1,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,2,1,5,4,7,3]=>[6,2,1,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,2,1,5,7,3,4]=>[6,2,1,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,1,5,7,4,3]=>[6,2,1,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,2,1,7,3,4,5]=>[6,2,1,3,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,1,7,3,5,4]=>[6,2,1,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,1,7,4,3,5]=>[6,2,1,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,1,7,4,5,3]=>[6,2,1,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,1,7,5,3,4]=>[6,2,1,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,1,7,5,4,3]=>[6,2,1,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,2,3,1,4,5,7]=>[6,2,3,1,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,3,1,4,7,5]=>[6,2,3,1,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,3,1,5,4,7]=>[6,2,3,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,3,1,5,7,4]=>[6,2,3,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,3,1,7,4,5]=>[6,2,3,1,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,3,1,7,5,4]=>[6,2,3,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,3,4,1,5,7]=>[6,2,3,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,3,4,1,7,5]=>[6,2,3,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,3,4,5,1,7]=>[6,2,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,3,4,5,7,1]=>[6,2,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,3,4,7,1,5]=>[6,2,3,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,3,4,7,5,1]=>[6,2,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,3,5,1,4,7]=>[6,2,3,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,3,5,1,7,4]=>[6,2,3,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,3,5,4,1,7]=>[6,2,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,2,3,5,4,7,1]=>[6,2,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,2,3,5,7,1,4]=>[6,2,3,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,3,5,7,4,1]=>[6,2,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,2,3,7,1,4,5]=>[6,2,3,1,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,3,7,1,5,4]=>[6,2,3,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,3,7,4,1,5]=>[6,2,3,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,3,7,4,5,1]=>[6,2,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,3,7,5,1,4]=>[6,2,3,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,3,7,5,4,1]=>[6,2,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,2,4,1,3,5,7]=>[6,2,4,1,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,4,1,3,7,5]=>[6,2,4,1,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,4,1,5,3,7]=>[6,2,4,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,4,1,5,7,3]=>[6,2,4,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,4,1,7,3,5]=>[6,2,4,1,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,4,1,7,5,3]=>[6,2,4,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,4,3,1,5,7]=>[6,2,4,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,2,4,3,1,7,5]=>[6,2,4,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,2,4,3,5,1,7]=>[6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,2,4,3,5,7,1]=>[6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,2,4,3,7,1,5]=>[6,2,4,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,2,4,3,7,5,1]=>[6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,2,4,5,1,3,7]=>[6,2,4,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,4,5,1,7,3]=>[6,2,4,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,4,5,3,1,7]=>[6,2,4,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,2,4,5,3,7,1]=>[6,2,4,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,2,4,5,7,1,3]=>[6,2,4,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,4,5,7,3,1]=>[6,2,4,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,2,4,7,1,3,5]=>[6,2,4,1,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,4,7,1,5,3]=>[6,2,4,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,4,7,3,1,5]=>[6,2,4,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,2,4,7,3,5,1]=>[6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,2,4,7,5,1,3]=>[6,2,4,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,4,7,5,3,1]=>[6,2,4,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,2,5,1,3,4,7]=>[6,2,5,1,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,5,1,3,7,4]=>[6,2,5,1,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,5,1,4,3,7]=>[6,2,5,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,2,5,1,4,7,3]=>[6,2,5,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,2,5,1,7,3,4]=>[6,2,5,1,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,5,1,7,4,3]=>[6,2,5,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,2,5,3,1,4,7]=>[6,2,5,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,2,5,3,1,7,4]=>[6,2,5,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,2,5,3,4,1,7]=>[6,2,5,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,2,5,3,4,7,1]=>[6,2,5,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,2,5,3,7,1,4]=>[6,2,5,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,2,5,3,7,4,1]=>[6,2,5,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,2,5,4,1,3,7]=>[6,2,5,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,2,5,4,1,7,3]=>[6,2,5,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,2,5,4,3,1,7]=>[6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,2,5,4,3,7,1]=>[6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,2,5,4,7,1,3]=>[6,2,5,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,2,5,4,7,3,1]=>[6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,2,5,7,1,3,4]=>[6,2,5,1,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,5,7,1,4,3]=>[6,2,5,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,2,5,7,3,1,4]=>[6,2,5,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,2,5,7,3,4,1]=>[6,2,5,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,2,5,7,4,1,3]=>[6,2,5,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,2,5,7,4,3,1]=>[6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,2,7,1,3,4,5]=>[6,2,1,3,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,7,1,3,5,4]=>[6,2,1,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,7,1,4,3,5]=>[6,2,1,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,7,1,4,5,3]=>[6,2,1,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,7,1,5,3,4]=>[6,2,1,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,7,1,5,4,3]=>[6,2,1,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,2,7,3,1,4,5]=>[6,2,3,1,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,7,3,1,5,4]=>[6,2,3,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,7,3,4,1,5]=>[6,2,3,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,7,3,4,5,1]=>[6,2,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,2,7,3,5,1,4]=>[6,2,3,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,7,3,5,4,1]=>[6,2,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,2,7,4,1,3,5]=>[6,2,4,1,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,7,4,1,5,3]=>[6,2,4,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,7,4,3,1,5]=>[6,2,4,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,2,7,4,3,5,1]=>[6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,2,7,4,5,1,3]=>[6,2,4,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,2,7,4,5,3,1]=>[6,2,4,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,2,7,5,1,3,4]=>[6,2,5,1,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,2,7,5,1,4,3]=>[6,2,5,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,2,7,5,3,1,4]=>[6,2,5,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,2,7,5,3,4,1]=>[6,2,5,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,2,7,5,4,1,3]=>[6,2,5,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,2,7,5,4,3,1]=>[6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,3,1,2,4,5,7]=>[6,3,1,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,3,1,2,4,7,5]=>[6,3,1,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,3,1,2,5,4,7]=>[6,3,1,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,3,1,2,5,7,4]=>[6,3,1,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,3,1,2,7,4,5]=>[6,3,1,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,3,1,2,7,5,4]=>[6,3,1,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,3,1,4,2,5,7]=>[6,3,1,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,1,4,2,7,5]=>[6,3,1,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,1,4,5,2,7]=>[6,3,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,1,4,5,7,2]=>[6,3,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,1,4,7,2,5]=>[6,3,1,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,1,4,7,5,2]=>[6,3,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,1,5,2,4,7]=>[6,3,1,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,3,1,5,2,7,4]=>[6,3,1,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,3,1,5,4,2,7]=>[6,3,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,3,1,5,4,7,2]=>[6,3,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,3,1,5,7,2,4]=>[6,3,1,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,3,1,5,7,4,2]=>[6,3,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,3,1,7,2,4,5]=>[6,3,1,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,3,1,7,2,5,4]=>[6,3,1,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,3,1,7,4,2,5]=>[6,3,1,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,1,7,4,5,2]=>[6,3,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,1,7,5,2,4]=>[6,3,1,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,3,1,7,5,4,2]=>[6,3,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,3,2,1,4,5,7]=>[6,3,2,1,4,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,2,1,4,7,5]=>[6,3,2,1,4,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,2,1,5,4,7]=>[6,3,2,1,5,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,2,1,5,7,4]=>[6,3,2,1,5,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,2,1,7,4,5]=>[6,3,2,1,4,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,2,1,7,5,4]=>[6,3,2,1,5,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,2,4,1,5,7]=>[6,3,2,4,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,2,4,1,7,5]=>[6,3,2,4,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,2,4,5,1,7]=>[6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,2,4,5,7,1]=>[6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,2,4,7,1,5]=>[6,3,2,4,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,2,4,7,5,1]=>[6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,2,5,1,4,7]=>[6,3,2,5,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,2,5,1,7,4]=>[6,3,2,5,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,2,5,4,1,7]=>[6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,2,5,4,7,1]=>[6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,2,5,7,1,4]=>[6,3,2,5,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,2,5,7,4,1]=>[6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,2,7,1,4,5]=>[6,3,2,1,4,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,2,7,1,5,4]=>[6,3,2,1,5,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,2,7,4,1,5]=>[6,3,2,4,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,2,7,4,5,1]=>[6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,2,7,5,1,4]=>[6,3,2,5,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,2,7,5,4,1]=>[6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,4,1,2,5,7]=>[6,3,4,1,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,4,1,2,7,5]=>[6,3,4,1,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,4,1,5,2,7]=>[6,3,4,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,4,1,5,7,2]=>[6,3,4,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,4,1,7,2,5]=>[6,3,4,1,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,4,1,7,5,2]=>[6,3,4,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,4,2,1,5,7]=>[6,3,4,2,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,4,2,1,7,5]=>[6,3,4,2,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,4,2,5,1,7]=>[6,3,4,2,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,4,2,5,7,1]=>[6,3,4,2,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,4,2,7,1,5]=>[6,3,4,2,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,4,2,7,5,1]=>[6,3,4,2,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,4,5,1,2,7]=>[6,3,4,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,4,5,1,7,2]=>[6,3,4,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,4,5,2,1,7]=>[6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,4,5,2,7,1]=>[6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,4,5,7,1,2]=>[6,3,4,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,4,5,7,2,1]=>[6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,4,7,1,2,5]=>[6,3,4,1,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,4,7,1,5,2]=>[6,3,4,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,4,7,2,1,5]=>[6,3,4,2,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,4,7,2,5,1]=>[6,3,4,2,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,4,7,5,1,2]=>[6,3,4,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,4,7,5,2,1]=>[6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,5,1,2,4,7]=>[6,3,5,1,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,3,5,1,2,7,4]=>[6,3,5,1,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,3,5,1,4,2,7]=>[6,3,5,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,3,5,1,4,7,2]=>[6,3,5,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,3,5,1,7,2,4]=>[6,3,5,1,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,3,5,1,7,4,2]=>[6,3,5,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,3,5,2,1,4,7]=>[6,3,5,2,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,5,2,1,7,4]=>[6,3,5,2,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,5,2,4,1,7]=>[6,3,5,2,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,5,2,4,7,1]=>[6,3,5,2,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,5,2,7,1,4]=>[6,3,5,2,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,5,2,7,4,1]=>[6,3,5,2,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,5,4,1,2,7]=>[6,3,5,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,3,5,4,1,7,2]=>[6,3,5,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,3,5,4,2,1,7]=>[6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,3,5,4,2,7,1]=>[6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,3,5,4,7,1,2]=>[6,3,5,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,3,5,4,7,2,1]=>[6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,3,5,7,1,2,4]=>[6,3,5,1,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,3,5,7,1,4,2]=>[6,3,5,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,3,5,7,2,1,4]=>[6,3,5,2,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,5,7,2,4,1]=>[6,3,5,2,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,5,7,4,1,2]=>[6,3,5,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,3,5,7,4,2,1]=>[6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,3,7,1,2,4,5]=>[6,3,1,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,3,7,1,2,5,4]=>[6,3,1,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,3,7,1,4,2,5]=>[6,3,1,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,7,1,4,5,2]=>[6,3,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,7,1,5,2,4]=>[6,3,1,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,3,7,1,5,4,2]=>[6,3,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,3,7,2,1,4,5]=>[6,3,2,1,4,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,7,2,1,5,4]=>[6,3,2,1,5,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,7,2,4,1,5]=>[6,3,2,4,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,7,2,4,5,1]=>[6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,7,2,5,1,4]=>[6,3,2,5,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,7,2,5,4,1]=>[6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,7,4,1,2,5]=>[6,3,4,1,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,7,4,1,5,2]=>[6,3,4,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,7,4,2,1,5]=>[6,3,4,2,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,7,4,2,5,1]=>[6,3,4,2,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,7,4,5,1,2]=>[6,3,4,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,3,7,4,5,2,1]=>[6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,3,7,5,1,2,4]=>[6,3,5,1,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,3,7,5,1,4,2]=>[6,3,5,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,3,7,5,2,1,4]=>[6,3,5,2,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,7,5,2,4,1]=>[6,3,5,2,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,3,7,5,4,1,2]=>[6,3,5,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,3,7,5,4,2,1]=>[6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,4,1,2,3,5,7]=>[6,4,1,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,4,1,2,3,7,5]=>[6,4,1,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,4,1,2,5,3,7]=>[6,4,1,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,4,1,2,5,7,3]=>[6,4,1,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,4,1,2,7,3,5]=>[6,4,1,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,4,1,2,7,5,3]=>[6,4,1,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,4,1,3,2,5,7]=>[6,4,1,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,4,1,3,2,7,5]=>[6,4,1,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,4,1,3,5,2,7]=>[6,4,1,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,4,1,3,5,7,2]=>[6,4,1,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,4,1,3,7,2,5]=>[6,4,1,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,4,1,3,7,5,2]=>[6,4,1,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,4,1,5,2,3,7]=>[6,4,1,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,4,1,5,2,7,3]=>[6,4,1,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,4,1,5,3,2,7]=>[6,4,1,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,1,5,3,7,2]=>[6,4,1,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,1,5,7,2,3]=>[6,4,1,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,4,1,5,7,3,2]=>[6,4,1,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,1,7,2,3,5]=>[6,4,1,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,4,1,7,2,5,3]=>[6,4,1,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,4,1,7,3,2,5]=>[6,4,1,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,4,1,7,3,5,2]=>[6,4,1,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,4,1,7,5,2,3]=>[6,4,1,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,4,1,7,5,3,2]=>[6,4,1,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,2,1,3,5,7]=>[6,4,2,1,3,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,4,2,1,3,7,5]=>[6,4,2,1,3,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,4,2,1,5,3,7]=>[6,4,2,1,5,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,2,1,5,7,3]=>[6,4,2,1,5,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,2,1,7,3,5]=>[6,4,2,1,3,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,4,2,1,7,5,3]=>[6,4,2,1,5,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,2,3,1,5,7]=>[6,4,2,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,4,2,3,1,7,5]=>[6,4,2,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,4,2,3,5,1,7]=>[6,4,2,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,4,2,3,5,7,1]=>[6,4,2,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,4,2,3,7,1,5]=>[6,4,2,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,4,2,3,7,5,1]=>[6,4,2,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,4,2,5,1,3,7]=>[6,4,2,5,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,2,5,1,7,3]=>[6,4,2,5,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,2,5,3,1,7]=>[6,4,2,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,2,5,3,7,1]=>[6,4,2,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,2,5,7,1,3]=>[6,4,2,5,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,2,5,7,3,1]=>[6,4,2,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,2,7,1,3,5]=>[6,4,2,1,3,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,4,2,7,1,5,3]=>[6,4,2,1,5,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,2,7,3,1,5]=>[6,4,2,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,4,2,7,3,5,1]=>[6,4,2,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,4,2,7,5,1,3]=>[6,4,2,5,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,2,7,5,3,1]=>[6,4,2,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,3,1,2,5,7]=>[6,4,3,1,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,4,3,1,2,7,5]=>[6,4,3,1,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,4,3,1,5,2,7]=>[6,4,3,1,5,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,3,1,5,7,2]=>[6,4,3,1,5,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,3,1,7,2,5]=>[6,4,3,1,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,4,3,1,7,5,2]=>[6,4,3,1,5,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,3,2,1,5,7]=>[6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,4,3,2,1,7,5]=>[6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,4,3,2,5,1,7]=>[6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,4,3,2,5,7,1]=>[6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,4,3,2,7,1,5]=>[6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,4,3,2,7,5,1]=>[6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,4,3,5,1,2,7]=>[6,4,3,5,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,3,5,1,7,2]=>[6,4,3,5,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,3,5,2,1,7]=>[6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,4,3,5,2,7,1]=>[6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,4,3,5,7,1,2]=>[6,4,3,5,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,3,5,7,2,1]=>[6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,4,3,7,1,2,5]=>[6,4,3,1,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,4,3,7,1,5,2]=>[6,4,3,1,5,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,3,7,2,1,5]=>[6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,4,3,7,2,5,1]=>[6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,4,3,7,5,1,2]=>[6,4,3,5,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,3,7,5,2,1]=>[6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,4,5,1,2,3,7]=>[6,4,5,1,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,4,5,1,2,7,3]=>[6,4,5,1,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,4,5,1,3,2,7]=>[6,4,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,5,1,3,7,2]=>[6,4,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,5,1,7,2,3]=>[6,4,5,1,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,4,5,1,7,3,2]=>[6,4,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,5,2,1,3,7]=>[6,4,5,2,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,5,2,1,7,3]=>[6,4,5,2,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,5,2,3,1,7]=>[6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,5,2,3,7,1]=>[6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,5,2,7,1,3]=>[6,4,5,2,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,5,2,7,3,1]=>[6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,5,3,1,2,7]=>[6,4,5,3,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,5,3,1,7,2]=>[6,4,5,3,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,5,3,2,1,7]=>[6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,4,5,3,2,7,1]=>[6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,4,5,3,7,1,2]=>[6,4,5,3,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,5,3,7,2,1]=>[6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,4,5,7,1,2,3]=>[6,4,5,1,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,4,5,7,1,3,2]=>[6,4,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,5,7,2,1,3]=>[6,4,5,2,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,5,7,2,3,1]=>[6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,5,7,3,1,2]=>[6,4,5,3,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,5,7,3,2,1]=>[6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,4,7,1,2,3,5]=>[6,4,1,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,4,7,1,2,5,3]=>[6,4,1,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,4,7,1,3,2,5]=>[6,4,1,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,4,7,1,3,5,2]=>[6,4,1,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,4,7,1,5,2,3]=>[6,4,1,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,4,7,1,5,3,2]=>[6,4,1,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,7,2,1,3,5]=>[6,4,2,1,3,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,4,7,2,1,5,3]=>[6,4,2,1,5,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,7,2,3,1,5]=>[6,4,2,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,4,7,2,3,5,1]=>[6,4,2,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,4,7,2,5,1,3]=>[6,4,2,5,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,7,2,5,3,1]=>[6,4,2,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,7,3,1,2,5]=>[6,4,3,1,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,4,7,3,1,5,2]=>[6,4,3,1,5,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,7,3,2,1,5]=>[6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,4,7,3,2,5,1]=>[6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,4,7,3,5,1,2]=>[6,4,3,5,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,7,3,5,2,1]=>[6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,4,7,5,1,2,3]=>[6,4,5,1,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,4,7,5,1,3,2]=>[6,4,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,7,5,2,1,3]=>[6,4,5,2,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,7,5,2,3,1]=>[6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,4,7,5,3,1,2]=>[6,4,5,3,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,4,7,5,3,2,1]=>[6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,5,1,2,3,4,7]=>[6,5,1,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,5,1,2,3,7,4]=>[6,5,1,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,5,1,2,4,3,7]=>[6,5,1,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,5,1,2,4,7,3]=>[6,5,1,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,5,1,2,7,3,4]=>[6,5,1,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,5,1,2,7,4,3]=>[6,5,1,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,5,1,3,2,4,7]=>[6,5,1,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,5,1,3,2,7,4]=>[6,5,1,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,5,1,3,4,2,7]=>[6,5,1,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,5,1,3,4,7,2]=>[6,5,1,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,5,1,3,7,2,4]=>[6,5,1,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,5,1,3,7,4,2]=>[6,5,1,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,5,1,4,2,3,7]=>[6,5,1,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,5,1,4,2,7,3]=>[6,5,1,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,5,1,4,3,2,7]=>[6,5,1,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,5,1,4,3,7,2]=>[6,5,1,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,5,1,4,7,2,3]=>[6,5,1,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,5,1,4,7,3,2]=>[6,5,1,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,5,1,7,2,3,4]=>[6,5,1,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,5,1,7,2,4,3]=>[6,5,1,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,5,1,7,3,2,4]=>[6,5,1,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,5,1,7,3,4,2]=>[6,5,1,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,5,1,7,4,2,3]=>[6,5,1,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,5,1,7,4,3,2]=>[6,5,1,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,5,2,1,3,4,7]=>[6,5,2,1,3,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,5,2,1,3,7,4]=>[6,5,2,1,3,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,5,2,1,4,3,7]=>[6,5,2,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,5,2,1,4,7,3]=>[6,5,2,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,5,2,1,7,3,4]=>[6,5,2,1,3,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,5,2,1,7,4,3]=>[6,5,2,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,5,2,3,1,4,7]=>[6,5,2,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,5,2,3,1,7,4]=>[6,5,2,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,5,2,3,4,1,7]=>[6,5,2,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,5,2,3,4,7,1]=>[6,5,2,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,5,2,3,7,1,4]=>[6,5,2,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,5,2,3,7,4,1]=>[6,5,2,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,5,2,4,1,3,7]=>[6,5,2,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,5,2,4,1,7,3]=>[6,5,2,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,5,2,4,3,1,7]=>[6,5,2,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,5,2,4,3,7,1]=>[6,5,2,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,5,2,4,7,1,3]=>[6,5,2,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,5,2,4,7,3,1]=>[6,5,2,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,5,2,7,1,3,4]=>[6,5,2,1,3,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,5,2,7,1,4,3]=>[6,5,2,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,5,2,7,3,1,4]=>[6,5,2,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,5,2,7,3,4,1]=>[6,5,2,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,5,2,7,4,1,3]=>[6,5,2,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,5,2,7,4,3,1]=>[6,5,2,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,5,3,1,2,4,7]=>[6,5,3,1,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,5,3,1,2,7,4]=>[6,5,3,1,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,5,3,1,4,2,7]=>[6,5,3,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,5,3,1,4,7,2]=>[6,5,3,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,5,3,1,7,2,4]=>[6,5,3,1,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,5,3,1,7,4,2]=>[6,5,3,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,5,3,2,1,4,7]=>[6,5,3,2,1,4]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,5,3,2,1,7,4]=>[6,5,3,2,1,4]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,5,3,2,4,1,7]=>[6,5,3,2,4,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,5,3,2,4,7,1]=>[6,5,3,2,4,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,5,3,2,7,1,4]=>[6,5,3,2,1,4]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,5,3,2,7,4,1]=>[6,5,3,2,4,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,5,3,4,1,2,7]=>[6,5,3,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,5,3,4,1,7,2]=>[6,5,3,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,5,3,4,2,1,7]=>[6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,5,3,4,2,7,1]=>[6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,5,3,4,7,1,2]=>[6,5,3,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,5,3,4,7,2,1]=>[6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,5,3,7,1,2,4]=>[6,5,3,1,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,5,3,7,1,4,2]=>[6,5,3,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,5,3,7,2,1,4]=>[6,5,3,2,1,4]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,5,3,7,2,4,1]=>[6,5,3,2,4,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,5,3,7,4,1,2]=>[6,5,3,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,5,3,7,4,2,1]=>[6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,5,4,1,2,3,7]=>[6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,5,4,1,2,7,3]=>[6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,5,4,1,3,2,7]=>[6,5,4,1,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,5,4,1,3,7,2]=>[6,5,4,1,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,5,4,1,7,2,3]=>[6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,5,4,1,7,3,2]=>[6,5,4,1,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,5,4,2,1,3,7]=>[6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,5,4,2,1,7,3]=>[6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,5,4,2,3,1,7]=>[6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,5,4,2,3,7,1]=>[6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,5,4,2,7,1,3]=>[6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,5,4,2,7,3,1]=>[6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,5,4,3,1,2,7]=>[6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,5,4,3,1,7,2]=>[6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,5,4,3,2,1,7]=>[6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6]]
[6,5,4,3,2,7,1]=>[6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6]]
[6,5,4,3,7,1,2]=>[6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,5,4,3,7,2,1]=>[6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6]]
[6,5,4,7,1,2,3]=>[6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,5,4,7,1,3,2]=>[6,5,4,1,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,5,4,7,2,1,3]=>[6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,5,4,7,2,3,1]=>[6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,5,4,7,3,1,2]=>[6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,5,4,7,3,2,1]=>[6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6]]
[6,5,7,1,2,3,4]=>[6,5,1,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,5,7,1,2,4,3]=>[6,5,1,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,5,7,1,3,2,4]=>[6,5,1,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,5,7,1,3,4,2]=>[6,5,1,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,5,7,1,4,2,3]=>[6,5,1,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,5,7,1,4,3,2]=>[6,5,1,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,5,7,2,1,3,4]=>[6,5,2,1,3,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,5,7,2,1,4,3]=>[6,5,2,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,5,7,2,3,1,4]=>[6,5,2,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,5,7,2,3,4,1]=>[6,5,2,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,5,7,2,4,1,3]=>[6,5,2,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,5,7,2,4,3,1]=>[6,5,2,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,5,7,3,1,2,4]=>[6,5,3,1,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,5,7,3,1,4,2]=>[6,5,3,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,5,7,3,2,1,4]=>[6,5,3,2,1,4]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,5,7,3,2,4,1]=>[6,5,3,2,4,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,5,7,3,4,1,2]=>[6,5,3,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,5,7,3,4,2,1]=>[6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,5,7,4,1,2,3]=>[6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,5,7,4,1,3,2]=>[6,5,4,1,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,5,7,4,2,1,3]=>[6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,5,7,4,2,3,1]=>[6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,5,7,4,3,1,2]=>[6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,5,7,4,3,2,1]=>[6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6]]
[6,7,1,2,3,4,5]=>[6,1,2,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[6,7,1,2,3,5,4]=>[6,1,2,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,7,1,2,4,3,5]=>[6,1,2,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,7,1,2,4,5,3]=>[6,1,2,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,7,1,2,5,3,4]=>[6,1,2,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,7,1,2,5,4,3]=>[6,1,2,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,7,1,3,2,4,5]=>[6,1,3,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,7,1,3,2,5,4]=>[6,1,3,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,7,1,3,4,2,5]=>[6,1,3,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,7,1,3,4,5,2]=>[6,1,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,7,1,3,5,2,4]=>[6,1,3,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,7,1,3,5,4,2]=>[6,1,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,7,1,4,2,3,5]=>[6,1,4,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,7,1,4,2,5,3]=>[6,1,4,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,7,1,4,3,2,5]=>[6,1,4,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,7,1,4,3,5,2]=>[6,1,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,7,1,4,5,2,3]=>[6,1,4,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,7,1,4,5,3,2]=>[6,1,4,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,7,1,5,2,3,4]=>[6,1,5,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,7,1,5,2,4,3]=>[6,1,5,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,7,1,5,3,2,4]=>[6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,7,1,5,3,4,2]=>[6,1,5,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,7,1,5,4,2,3]=>[6,1,5,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,7,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,7,2,1,3,4,5]=>[6,2,1,3,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,7,2,1,3,5,4]=>[6,2,1,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,7,2,1,4,3,5]=>[6,2,1,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,7,2,1,4,5,3]=>[6,2,1,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,7,2,1,5,3,4]=>[6,2,1,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,7,2,1,5,4,3]=>[6,2,1,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,7,2,3,1,4,5]=>[6,2,3,1,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,7,2,3,1,5,4]=>[6,2,3,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,7,2,3,4,1,5]=>[6,2,3,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,7,2,3,4,5,1]=>[6,2,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[6,7,2,3,5,1,4]=>[6,2,3,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,7,2,3,5,4,1]=>[6,2,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,7,2,4,1,3,5]=>[6,2,4,1,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,7,2,4,1,5,3]=>[6,2,4,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,7,2,4,3,1,5]=>[6,2,4,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,7,2,4,3,5,1]=>[6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,7,2,4,5,1,3]=>[6,2,4,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[6,7,2,4,5,3,1]=>[6,2,4,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,7,2,5,1,3,4]=>[6,2,5,1,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[6,7,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,7,2,5,3,1,4]=>[6,2,5,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,7,2,5,3,4,1]=>[6,2,5,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,7,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,7,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,7,3,1,2,4,5]=>[6,3,1,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[6,7,3,1,2,5,4]=>[6,3,1,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,7,3,1,4,2,5]=>[6,3,1,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,7,3,1,4,5,2]=>[6,3,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,7,3,1,5,2,4]=>[6,3,1,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,7,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,7,3,2,1,4,5]=>[6,3,2,1,4,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,7,3,2,1,5,4]=>[6,3,2,1,5,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,7,3,2,4,1,5]=>[6,3,2,4,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,7,3,2,4,5,1]=>[6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,7,3,2,5,1,4]=>[6,3,2,5,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,7,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,7,3,4,1,2,5]=>[6,3,4,1,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,7,3,4,1,5,2]=>[6,3,4,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,7,3,4,2,1,5]=>[6,3,4,2,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,7,3,4,2,5,1]=>[6,3,4,2,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,7,3,4,5,1,2]=>[6,3,4,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[6,7,3,4,5,2,1]=>[6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[6,7,3,5,1,2,4]=>[6,3,5,1,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[6,7,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,7,3,5,2,1,4]=>[6,3,5,2,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,7,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[6,7,3,5,4,1,2]=>[6,3,5,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,7,3,5,4,2,1]=>[6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,7,4,1,2,3,5]=>[6,4,1,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[6,7,4,1,2,5,3]=>[6,4,1,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,7,4,1,3,2,5]=>[6,4,1,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,7,4,1,3,5,2]=>[6,4,1,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,7,4,1,5,2,3]=>[6,4,1,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,7,4,1,5,3,2]=>[6,4,1,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,7,4,2,1,3,5]=>[6,4,2,1,3,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,7,4,2,1,5,3]=>[6,4,2,1,5,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,7,4,2,3,1,5]=>[6,4,2,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,7,4,2,3,5,1]=>[6,4,2,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[6,7,4,2,5,1,3]=>[6,4,2,5,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,7,4,2,5,3,1]=>[6,4,2,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,7,4,3,1,2,5]=>[6,4,3,1,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[6,7,4,3,1,5,2]=>[6,4,3,1,5,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,7,4,3,2,1,5]=>[6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,7,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,7,4,3,5,1,2]=>[6,4,3,5,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,7,4,3,5,2,1]=>[6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,7,4,5,1,2,3]=>[6,4,5,1,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[6,7,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,7,4,5,2,1,3]=>[6,4,5,2,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,7,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[6,7,4,5,3,1,2]=>[6,4,5,3,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[6,7,4,5,3,2,1]=>[6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[6,7,5,1,2,3,4]=>[6,5,1,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[6,7,5,1,2,4,3]=>[6,5,1,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,7,5,1,3,2,4]=>[6,5,1,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,7,5,1,3,4,2]=>[6,5,1,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,7,5,1,4,2,3]=>[6,5,1,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,7,5,1,4,3,2]=>[6,5,1,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,7,5,2,1,3,4]=>[6,5,2,1,3,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,7,5,2,1,4,3]=>[6,5,2,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,7,5,2,3,1,4]=>[6,5,2,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,7,5,2,3,4,1]=>[6,5,2,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[6,7,5,2,4,1,3]=>[6,5,2,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[6,7,5,2,4,3,1]=>[6,5,2,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,7,5,3,1,2,4]=>[6,5,3,1,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[6,7,5,3,1,4,2]=>[6,5,3,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,7,5,3,2,1,4]=>[6,5,3,2,1,4]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,7,5,3,2,4,1]=>[6,5,3,2,4,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,7,5,3,4,1,2]=>[6,5,3,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[6,7,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[6,7,5,4,1,2,3]=>[6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[6,7,5,4,1,3,2]=>[6,5,4,1,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,7,5,4,2,1,3]=>[6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,7,5,4,2,3,1]=>[6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[6,7,5,4,3,1,2]=>[6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[6,7,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6]]
[7,1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[[1,2,3,4,5,6]]=>[[1],[2],[3],[4],[5],[6]]
[7,1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[7,1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[7,1,2,3,5,6,4]=>[1,2,3,5,6,4]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[7,1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[7,1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[7,1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[7,1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[7,1,2,4,5,3,6]=>[1,2,4,5,3,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[7,1,2,4,5,6,3]=>[1,2,4,5,6,3]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[7,1,2,4,6,3,5]=>[1,2,4,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[7,1,2,4,6,5,3]=>[1,2,4,6,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[7,1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[7,1,2,5,3,6,4]=>[1,2,5,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[7,1,2,5,4,3,6]=>[1,2,5,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[7,1,2,5,4,6,3]=>[1,2,5,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[7,1,2,5,6,3,4]=>[1,2,5,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[7,1,2,5,6,4,3]=>[1,2,5,6,4,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[7,1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[7,1,2,6,3,5,4]=>[1,2,6,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[7,1,2,6,4,3,5]=>[1,2,6,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[7,1,2,6,4,5,3]=>[1,2,6,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[7,1,2,6,5,3,4]=>[1,2,6,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[7,1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[7,1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[7,1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[7,1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[7,1,3,2,5,6,4]=>[1,3,2,5,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[7,1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[7,1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[7,1,3,4,2,5,6]=>[1,3,4,2,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[7,1,3,4,2,6,5]=>[1,3,4,2,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[7,1,3,4,5,2,6]=>[1,3,4,5,2,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[7,1,3,4,5,6,2]=>[1,3,4,5,6,2]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[7,1,3,4,6,2,5]=>[1,3,4,6,2,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[7,1,3,4,6,5,2]=>[1,3,4,6,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[7,1,3,5,2,4,6]=>[1,3,5,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[7,1,3,5,2,6,4]=>[1,3,5,2,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[7,1,3,5,4,2,6]=>[1,3,5,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[7,1,3,5,4,6,2]=>[1,3,5,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[7,1,3,5,6,2,4]=>[1,3,5,6,2,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[7,1,3,5,6,4,2]=>[1,3,5,6,4,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[7,1,3,6,2,4,5]=>[1,3,6,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[7,1,3,6,2,5,4]=>[1,3,6,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[7,1,3,6,4,2,5]=>[1,3,6,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[7,1,3,6,4,5,2]=>[1,3,6,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[7,1,3,6,5,2,4]=>[1,3,6,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[7,1,3,6,5,4,2]=>[1,3,6,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[7,1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[7,1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[7,1,4,2,5,3,6]=>[1,4,2,5,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[7,1,4,2,5,6,3]=>[1,4,2,5,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[7,1,4,2,6,3,5]=>[1,4,2,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[7,1,4,2,6,5,3]=>[1,4,2,6,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[7,1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[7,1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[7,1,4,3,5,2,6]=>[1,4,3,5,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[7,1,4,3,5,6,2]=>[1,4,3,5,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[7,1,4,3,6,2,5]=>[1,4,3,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[7,1,4,3,6,5,2]=>[1,4,3,6,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[7,1,4,5,2,3,6]=>[1,4,5,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[7,1,4,5,2,6,3]=>[1,4,5,2,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[7,1,4,5,3,2,6]=>[1,4,5,3,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[7,1,4,5,3,6,2]=>[1,4,5,3,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[7,1,4,5,6,2,3]=>[1,4,5,6,2,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[7,1,4,5,6,3,2]=>[1,4,5,6,3,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[7,1,4,6,2,3,5]=>[1,4,6,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[7,1,4,6,2,5,3]=>[1,4,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[7,1,4,6,3,2,5]=>[1,4,6,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[7,1,4,6,3,5,2]=>[1,4,6,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[7,1,4,6,5,2,3]=>[1,4,6,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[7,1,4,6,5,3,2]=>[1,4,6,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[7,1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[7,1,5,2,3,6,4]=>[1,5,2,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[7,1,5,2,4,3,6]=>[1,5,2,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[7,1,5,2,4,6,3]=>[1,5,2,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[7,1,5,2,6,3,4]=>[1,5,2,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[7,1,5,2,6,4,3]=>[1,5,2,6,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[7,1,5,3,2,4,6]=>[1,5,3,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[7,1,5,3,2,6,4]=>[1,5,3,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[7,1,5,3,4,2,6]=>[1,5,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[7,1,5,3,4,6,2]=>[1,5,3,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[7,1,5,3,6,2,4]=>[1,5,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[7,1,5,3,6,4,2]=>[1,5,3,6,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[7,1,5,4,2,3,6]=>[1,5,4,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[7,1,5,4,2,6,3]=>[1,5,4,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[7,1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[7,1,5,4,3,6,2]=>[1,5,4,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[7,1,5,4,6,2,3]=>[1,5,4,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[7,1,5,4,6,3,2]=>[1,5,4,6,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[7,1,5,6,2,3,4]=>[1,5,6,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[7,1,5,6,2,4,3]=>[1,5,6,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[7,1,5,6,3,2,4]=>[1,5,6,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[7,1,5,6,3,4,2]=>[1,5,6,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[7,1,5,6,4,2,3]=>[1,5,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[7,1,5,6,4,3,2]=>[1,5,6,4,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[7,1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[7,1,6,2,3,5,4]=>[1,6,2,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[7,1,6,2,4,3,5]=>[1,6,2,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[7,1,6,2,4,5,3]=>[1,6,2,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[7,1,6,2,5,3,4]=>[1,6,2,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[7,1,6,2,5,4,3]=>[1,6,2,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[7,1,6,3,2,4,5]=>[1,6,3,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[7,1,6,3,2,5,4]=>[1,6,3,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[7,1,6,3,4,2,5]=>[1,6,3,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[7,1,6,3,4,5,2]=>[1,6,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[7,1,6,3,5,2,4]=>[1,6,3,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[7,1,6,3,5,4,2]=>[1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[7,1,6,4,2,3,5]=>[1,6,4,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[7,1,6,4,2,5,3]=>[1,6,4,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[7,1,6,4,3,2,5]=>[1,6,4,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[7,1,6,4,3,5,2]=>[1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[7,1,6,4,5,2,3]=>[1,6,4,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[7,1,6,4,5,3,2]=>[1,6,4,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[7,1,6,5,2,3,4]=>[1,6,5,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[7,1,6,5,2,4,3]=>[1,6,5,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[7,1,6,5,3,2,4]=>[1,6,5,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[7,1,6,5,3,4,2]=>[1,6,5,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[7,1,6,5,4,2,3]=>[1,6,5,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[7,1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[7,2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[7,2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[7,2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[7,2,1,3,5,6,4]=>[2,1,3,5,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[7,2,1,3,6,4,5]=>[2,1,3,6,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[7,2,1,3,6,5,4]=>[2,1,3,6,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[7,2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[7,2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[7,2,1,4,5,3,6]=>[2,1,4,5,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[7,2,1,4,5,6,3]=>[2,1,4,5,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[7,2,1,4,6,3,5]=>[2,1,4,6,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[7,2,1,4,6,5,3]=>[2,1,4,6,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[7,2,1,5,3,4,6]=>[2,1,5,3,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[7,2,1,5,3,6,4]=>[2,1,5,3,6,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[7,2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[7,2,1,5,4,6,3]=>[2,1,5,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[7,2,1,5,6,3,4]=>[2,1,5,6,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[7,2,1,5,6,4,3]=>[2,1,5,6,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[7,2,1,6,3,4,5]=>[2,1,6,3,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[7,2,1,6,3,5,4]=>[2,1,6,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[7,2,1,6,4,3,5]=>[2,1,6,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[7,2,1,6,4,5,3]=>[2,1,6,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[7,2,1,6,5,3,4]=>[2,1,6,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[7,2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[7,2,3,1,4,5,6]=>[2,3,1,4,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[7,2,3,1,4,6,5]=>[2,3,1,4,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[7,2,3,1,5,4,6]=>[2,3,1,5,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[7,2,3,1,5,6,4]=>[2,3,1,5,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[7,2,3,1,6,4,5]=>[2,3,1,6,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[7,2,3,1,6,5,4]=>[2,3,1,6,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[7,2,3,4,1,5,6]=>[2,3,4,1,5,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[7,2,3,4,1,6,5]=>[2,3,4,1,6,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[7,2,3,4,5,1,6]=>[2,3,4,5,1,6]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[7,2,3,4,5,6,1]=>[2,3,4,5,6,1]=>[[1,3,4,5,6],[2]]=>[[1,2],[3],[4],[5],[6]]
[7,2,3,4,6,1,5]=>[2,3,4,6,1,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[7,2,3,4,6,5,1]=>[2,3,4,6,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[7,2,3,5,1,4,6]=>[2,3,5,1,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[7,2,3,5,1,6,4]=>[2,3,5,1,6,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[7,2,3,5,4,1,6]=>[2,3,5,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[7,2,3,5,4,6,1]=>[2,3,5,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[7,2,3,5,6,1,4]=>[2,3,5,6,1,4]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[7,2,3,5,6,4,1]=>[2,3,5,6,4,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[7,2,3,6,1,4,5]=>[2,3,6,1,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[7,2,3,6,1,5,4]=>[2,3,6,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[7,2,3,6,4,1,5]=>[2,3,6,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[7,2,3,6,4,5,1]=>[2,3,6,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[7,2,3,6,5,1,4]=>[2,3,6,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[7,2,3,6,5,4,1]=>[2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[7,2,4,1,3,5,6]=>[2,4,1,3,5,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[7,2,4,1,3,6,5]=>[2,4,1,3,6,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[7,2,4,1,5,3,6]=>[2,4,1,5,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[7,2,4,1,5,6,3]=>[2,4,1,5,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[7,2,4,1,6,3,5]=>[2,4,1,6,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[7,2,4,1,6,5,3]=>[2,4,1,6,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[7,2,4,3,1,5,6]=>[2,4,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[7,2,4,3,1,6,5]=>[2,4,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[7,2,4,3,5,1,6]=>[2,4,3,5,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[7,2,4,3,5,6,1]=>[2,4,3,5,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[7,2,4,3,6,1,5]=>[2,4,3,6,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[7,2,4,3,6,5,1]=>[2,4,3,6,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[7,2,4,5,1,3,6]=>[2,4,5,1,3,6]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[7,2,4,5,1,6,3]=>[2,4,5,1,6,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[7,2,4,5,3,1,6]=>[2,4,5,3,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[7,2,4,5,3,6,1]=>[2,4,5,3,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[7,2,4,5,6,1,3]=>[2,4,5,6,1,3]=>[[1,3,5,6],[2,4]]=>[[1,2],[3,4],[5],[6]]
[7,2,4,5,6,3,1]=>[2,4,5,6,3,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[7,2,4,6,1,3,5]=>[2,4,6,1,3,5]=>[[1,3,5],[2,4,6]]=>[[1,2],[3,4],[5,6]]
[7,2,4,6,1,5,3]=>[2,4,6,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[7,2,4,6,3,1,5]=>[2,4,6,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[7,2,4,6,3,5,1]=>[2,4,6,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[7,2,4,6,5,1,3]=>[2,4,6,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[7,2,4,6,5,3,1]=>[2,4,6,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[7,2,5,1,3,4,6]=>[2,5,1,3,4,6]=>[[1,3,4,6],[2,5]]=>[[1,2],[3,5],[4],[6]]
[7,2,5,1,3,6,4]=>[2,5,1,3,6,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[7,2,5,1,4,3,6]=>[2,5,1,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[7,2,5,1,4,6,3]=>[2,5,1,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[7,2,5,1,6,3,4]=>[2,5,1,6,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[7,2,5,1,6,4,3]=>[2,5,1,6,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[7,2,5,3,1,4,6]=>[2,5,3,1,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[7,2,5,3,1,6,4]=>[2,5,3,1,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[7,2,5,3,4,1,6]=>[2,5,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[7,2,5,3,4,6,1]=>[2,5,3,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[7,2,5,3,6,1,4]=>[2,5,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[7,2,5,3,6,4,1]=>[2,5,3,6,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[7,2,5,4,1,3,6]=>[2,5,4,1,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[7,2,5,4,1,6,3]=>[2,5,4,1,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[7,2,5,4,3,1,6]=>[2,5,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[7,2,5,4,3,6,1]=>[2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[7,2,5,4,6,1,3]=>[2,5,4,6,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[7,2,5,4,6,3,1]=>[2,5,4,6,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[7,2,5,6,1,3,4]=>[2,5,6,1,3,4]=>[[1,3,4],[2,5,6]]=>[[1,2],[3,5],[4,6]]
[7,2,5,6,1,4,3]=>[2,5,6,1,4,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[7,2,5,6,3,1,4]=>[2,5,6,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[7,2,5,6,3,4,1]=>[2,5,6,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[7,2,5,6,4,1,3]=>[2,5,6,4,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[7,2,5,6,4,3,1]=>[2,5,6,4,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[7,2,6,1,3,4,5]=>[2,6,1,3,4,5]=>[[1,3,4,5],[2,6]]=>[[1,2],[3,6],[4],[5]]
[7,2,6,1,3,5,4]=>[2,6,1,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[7,2,6,1,4,3,5]=>[2,6,1,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[7,2,6,1,4,5,3]=>[2,6,1,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[7,2,6,1,5,3,4]=>[2,6,1,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[7,2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[7,2,6,3,1,4,5]=>[2,6,3,1,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[7,2,6,3,1,5,4]=>[2,6,3,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[7,2,6,3,4,1,5]=>[2,6,3,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[7,2,6,3,4,5,1]=>[2,6,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[7,2,6,3,5,1,4]=>[2,6,3,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[7,2,6,3,5,4,1]=>[2,6,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[7,2,6,4,1,3,5]=>[2,6,4,1,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[7,2,6,4,1,5,3]=>[2,6,4,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[7,2,6,4,3,1,5]=>[2,6,4,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[7,2,6,4,3,5,1]=>[2,6,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[7,2,6,4,5,1,3]=>[2,6,4,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[7,2,6,4,5,3,1]=>[2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[7,2,6,5,1,3,4]=>[2,6,5,1,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[7,2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[7,2,6,5,3,1,4]=>[2,6,5,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[7,2,6,5,3,4,1]=>[2,6,5,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[7,2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[7,2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[7,3,1,2,4,5,6]=>[3,1,2,4,5,6]=>[[1,2,4,5,6],[3]]=>[[1,3],[2],[4],[5],[6]]
[7,3,1,2,4,6,5]=>[3,1,2,4,6,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[7,3,1,2,5,4,6]=>[3,1,2,5,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[7,3,1,2,5,6,4]=>[3,1,2,5,6,4]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[7,3,1,2,6,4,5]=>[3,1,2,6,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[7,3,1,2,6,5,4]=>[3,1,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[7,3,1,4,2,5,6]=>[3,1,4,2,5,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[7,3,1,4,2,6,5]=>[3,1,4,2,6,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[7,3,1,4,5,2,6]=>[3,1,4,5,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[7,3,1,4,5,6,2]=>[3,1,4,5,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[7,3,1,4,6,2,5]=>[3,1,4,6,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[7,3,1,4,6,5,2]=>[3,1,4,6,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[7,3,1,5,2,4,6]=>[3,1,5,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[7,3,1,5,2,6,4]=>[3,1,5,2,6,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[7,3,1,5,4,2,6]=>[3,1,5,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[7,3,1,5,4,6,2]=>[3,1,5,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[7,3,1,5,6,2,4]=>[3,1,5,6,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[7,3,1,5,6,4,2]=>[3,1,5,6,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[7,3,1,6,2,4,5]=>[3,1,6,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[7,3,1,6,2,5,4]=>[3,1,6,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[7,3,1,6,4,2,5]=>[3,1,6,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[7,3,1,6,4,5,2]=>[3,1,6,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[7,3,1,6,5,2,4]=>[3,1,6,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[7,3,1,6,5,4,2]=>[3,1,6,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[7,3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[7,3,2,1,4,6,5]=>[3,2,1,4,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[7,3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[7,3,2,1,5,6,4]=>[3,2,1,5,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[7,3,2,1,6,4,5]=>[3,2,1,6,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[7,3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[7,3,2,4,1,5,6]=>[3,2,4,1,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[7,3,2,4,1,6,5]=>[3,2,4,1,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[7,3,2,4,5,1,6]=>[3,2,4,5,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[7,3,2,4,5,6,1]=>[3,2,4,5,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[7,3,2,4,6,1,5]=>[3,2,4,6,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[7,3,2,4,6,5,1]=>[3,2,4,6,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[7,3,2,5,1,4,6]=>[3,2,5,1,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[7,3,2,5,1,6,4]=>[3,2,5,1,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[7,3,2,5,4,1,6]=>[3,2,5,4,1,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[7,3,2,5,4,6,1]=>[3,2,5,4,6,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[7,3,2,5,6,1,4]=>[3,2,5,6,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[7,3,2,5,6,4,1]=>[3,2,5,6,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[7,3,2,6,1,4,5]=>[3,2,6,1,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[7,3,2,6,1,5,4]=>[3,2,6,1,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[7,3,2,6,4,1,5]=>[3,2,6,4,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[7,3,2,6,4,5,1]=>[3,2,6,4,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[7,3,2,6,5,1,4]=>[3,2,6,5,1,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[7,3,2,6,5,4,1]=>[3,2,6,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[7,3,4,1,2,5,6]=>[3,4,1,2,5,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[7,3,4,1,2,6,5]=>[3,4,1,2,6,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[7,3,4,1,5,2,6]=>[3,4,1,5,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[7,3,4,1,5,6,2]=>[3,4,1,5,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[7,3,4,1,6,2,5]=>[3,4,1,6,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[7,3,4,1,6,5,2]=>[3,4,1,6,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[7,3,4,2,1,5,6]=>[3,4,2,1,5,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[7,3,4,2,1,6,5]=>[3,4,2,1,6,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[7,3,4,2,5,1,6]=>[3,4,2,5,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[7,3,4,2,5,6,1]=>[3,4,2,5,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[7,3,4,2,6,1,5]=>[3,4,2,6,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[7,3,4,2,6,5,1]=>[3,4,2,6,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[7,3,4,5,1,2,6]=>[3,4,5,1,2,6]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[7,3,4,5,1,6,2]=>[3,4,5,1,6,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[7,3,4,5,2,1,6]=>[3,4,5,2,1,6]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[7,3,4,5,2,6,1]=>[3,4,5,2,6,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[7,3,4,5,6,1,2]=>[3,4,5,6,1,2]=>[[1,2,5,6],[3,4]]=>[[1,3],[2,4],[5],[6]]
[7,3,4,5,6,2,1]=>[3,4,5,6,2,1]=>[[1,4,5,6],[2],[3]]=>[[1,2,3],[4],[5],[6]]
[7,3,4,6,1,2,5]=>[3,4,6,1,2,5]=>[[1,2,5],[3,4,6]]=>[[1,3],[2,4],[5,6]]
[7,3,4,6,1,5,2]=>[3,4,6,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[7,3,4,6,2,1,5]=>[3,4,6,2,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[7,3,4,6,2,5,1]=>[3,4,6,2,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[7,3,4,6,5,1,2]=>[3,4,6,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[7,3,4,6,5,2,1]=>[3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[7,3,5,1,2,4,6]=>[3,5,1,2,4,6]=>[[1,2,4,6],[3,5]]=>[[1,3],[2,5],[4],[6]]
[7,3,5,1,2,6,4]=>[3,5,1,2,6,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[7,3,5,1,4,2,6]=>[3,5,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[7,3,5,1,4,6,2]=>[3,5,1,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[7,3,5,1,6,2,4]=>[3,5,1,6,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[7,3,5,1,6,4,2]=>[3,5,1,6,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[7,3,5,2,1,4,6]=>[3,5,2,1,4,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[7,3,5,2,1,6,4]=>[3,5,2,1,6,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[7,3,5,2,4,1,6]=>[3,5,2,4,1,6]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[7,3,5,2,4,6,1]=>[3,5,2,4,6,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[7,3,5,2,6,1,4]=>[3,5,2,6,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[7,3,5,2,6,4,1]=>[3,5,2,6,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[7,3,5,4,1,2,6]=>[3,5,4,1,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[7,3,5,4,1,6,2]=>[3,5,4,1,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[7,3,5,4,2,1,6]=>[3,5,4,2,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[7,3,5,4,2,6,1]=>[3,5,4,2,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[7,3,5,4,6,1,2]=>[3,5,4,6,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[7,3,5,4,6,2,1]=>[3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[7,3,5,6,1,2,4]=>[3,5,6,1,2,4]=>[[1,2,4],[3,5,6]]=>[[1,3],[2,5],[4,6]]
[7,3,5,6,1,4,2]=>[3,5,6,1,4,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[7,3,5,6,2,1,4]=>[3,5,6,2,1,4]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[7,3,5,6,2,4,1]=>[3,5,6,2,4,1]=>[[1,4,6],[2,5],[3]]=>[[1,2,3],[4,5],[6]]
[7,3,5,6,4,1,2]=>[3,5,6,4,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[7,3,5,6,4,2,1]=>[3,5,6,4,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[7,3,6,1,2,4,5]=>[3,6,1,2,4,5]=>[[1,2,4,5],[3,6]]=>[[1,3],[2,6],[4],[5]]
[7,3,6,1,2,5,4]=>[3,6,1,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[7,3,6,1,4,2,5]=>[3,6,1,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[7,3,6,1,4,5,2]=>[3,6,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[7,3,6,1,5,2,4]=>[3,6,1,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[7,3,6,1,5,4,2]=>[3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[7,3,6,2,1,4,5]=>[3,6,2,1,4,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[7,3,6,2,1,5,4]=>[3,6,2,1,5,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[7,3,6,2,4,1,5]=>[3,6,2,4,1,5]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[7,3,6,2,4,5,1]=>[3,6,2,4,5,1]=>[[1,4,5],[2,6],[3]]=>[[1,2,3],[4,6],[5]]
[7,3,6,2,5,1,4]=>[3,6,2,5,1,4]=>[[1,4],[2,5],[3,6]]=>[[1,2,3],[4,5,6]]
[7,3,6,2,5,4,1]=>[3,6,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[7,3,6,4,1,2,5]=>[3,6,4,1,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[7,3,6,4,1,5,2]=>[3,6,4,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[7,3,6,4,2,1,5]=>[3,6,4,2,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[7,3,6,4,2,5,1]=>[3,6,4,2,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[7,3,6,4,5,1,2]=>[3,6,4,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[7,3,6,4,5,2,1]=>[3,6,4,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[7,3,6,5,1,2,4]=>[3,6,5,1,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[7,3,6,5,1,4,2]=>[3,6,5,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[7,3,6,5,2,1,4]=>[3,6,5,2,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[7,3,6,5,2,4,1]=>[3,6,5,2,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[7,3,6,5,4,1,2]=>[3,6,5,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[7,3,6,5,4,2,1]=>[3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[7,4,1,2,3,5,6]=>[4,1,2,3,5,6]=>[[1,2,3,5,6],[4]]=>[[1,4],[2],[3],[5],[6]]
[7,4,1,2,3,6,5]=>[4,1,2,3,6,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[7,4,1,2,5,3,6]=>[4,1,2,5,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[7,4,1,2,5,6,3]=>[4,1,2,5,6,3]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[7,4,1,2,6,3,5]=>[4,1,2,6,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[7,4,1,2,6,5,3]=>[4,1,2,6,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[7,4,1,3,2,5,6]=>[4,1,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[7,4,1,3,2,6,5]=>[4,1,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[7,4,1,3,5,2,6]=>[4,1,3,5,2,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[7,4,1,3,5,6,2]=>[4,1,3,5,6,2]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[7,4,1,3,6,2,5]=>[4,1,3,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[7,4,1,3,6,5,2]=>[4,1,3,6,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[7,4,1,5,2,3,6]=>[4,1,5,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[7,4,1,5,2,6,3]=>[4,1,5,2,6,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[7,4,1,5,3,2,6]=>[4,1,5,3,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[7,4,1,5,3,6,2]=>[4,1,5,3,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[7,4,1,5,6,2,3]=>[4,1,5,6,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[7,4,1,5,6,3,2]=>[4,1,5,6,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[7,4,1,6,2,3,5]=>[4,1,6,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[7,4,1,6,2,5,3]=>[4,1,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[7,4,1,6,3,2,5]=>[4,1,6,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[7,4,1,6,3,5,2]=>[4,1,6,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[7,4,1,6,5,2,3]=>[4,1,6,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[7,4,1,6,5,3,2]=>[4,1,6,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[7,4,2,1,3,5,6]=>[4,2,1,3,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[7,4,2,1,3,6,5]=>[4,2,1,3,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[7,4,2,1,5,3,6]=>[4,2,1,5,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[7,4,2,1,5,6,3]=>[4,2,1,5,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[7,4,2,1,6,3,5]=>[4,2,1,6,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[7,4,2,1,6,5,3]=>[4,2,1,6,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[7,4,2,3,1,5,6]=>[4,2,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[7,4,2,3,1,6,5]=>[4,2,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[7,4,2,3,5,1,6]=>[4,2,3,5,1,6]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[7,4,2,3,5,6,1]=>[4,2,3,5,6,1]=>[[1,3,5,6],[2],[4]]=>[[1,2,4],[3],[5],[6]]
[7,4,2,3,6,1,5]=>[4,2,3,6,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[7,4,2,3,6,5,1]=>[4,2,3,6,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[7,4,2,5,1,3,6]=>[4,2,5,1,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[7,4,2,5,1,6,3]=>[4,2,5,1,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[7,4,2,5,3,1,6]=>[4,2,5,3,1,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[7,4,2,5,3,6,1]=>[4,2,5,3,6,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[7,4,2,5,6,1,3]=>[4,2,5,6,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[7,4,2,5,6,3,1]=>[4,2,5,6,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[7,4,2,6,1,3,5]=>[4,2,6,1,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[7,4,2,6,1,5,3]=>[4,2,6,1,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[7,4,2,6,3,1,5]=>[4,2,6,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[7,4,2,6,3,5,1]=>[4,2,6,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[7,4,2,6,5,1,3]=>[4,2,6,5,1,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[7,4,2,6,5,3,1]=>[4,2,6,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[7,4,3,1,2,5,6]=>[4,3,1,2,5,6]=>[[1,2,5,6],[3],[4]]=>[[1,3,4],[2],[5],[6]]
[7,4,3,1,2,6,5]=>[4,3,1,2,6,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[7,4,3,1,5,2,6]=>[4,3,1,5,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[7,4,3,1,5,6,2]=>[4,3,1,5,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[7,4,3,1,6,2,5]=>[4,3,1,6,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[7,4,3,1,6,5,2]=>[4,3,1,6,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[7,4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[7,4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[7,4,3,2,5,1,6]=>[4,3,2,5,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[7,4,3,2,5,6,1]=>[4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[7,4,3,2,6,1,5]=>[4,3,2,6,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[7,4,3,2,6,5,1]=>[4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[7,4,3,5,1,2,6]=>[4,3,5,1,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[7,4,3,5,1,6,2]=>[4,3,5,1,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[7,4,3,5,2,1,6]=>[4,3,5,2,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[7,4,3,5,2,6,1]=>[4,3,5,2,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[7,4,3,5,6,1,2]=>[4,3,5,6,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[7,4,3,5,6,2,1]=>[4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[7,4,3,6,1,2,5]=>[4,3,6,1,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[7,4,3,6,1,5,2]=>[4,3,6,1,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[7,4,3,6,2,1,5]=>[4,3,6,2,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[7,4,3,6,2,5,1]=>[4,3,6,2,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[7,4,3,6,5,1,2]=>[4,3,6,5,1,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[7,4,3,6,5,2,1]=>[4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[7,4,5,1,2,3,6]=>[4,5,1,2,3,6]=>[[1,2,3,6],[4,5]]=>[[1,4],[2,5],[3],[6]]
[7,4,5,1,2,6,3]=>[4,5,1,2,6,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[7,4,5,1,3,2,6]=>[4,5,1,3,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[7,4,5,1,3,6,2]=>[4,5,1,3,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[7,4,5,1,6,2,3]=>[4,5,1,6,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[7,4,5,1,6,3,2]=>[4,5,1,6,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[7,4,5,2,1,3,6]=>[4,5,2,1,3,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[7,4,5,2,1,6,3]=>[4,5,2,1,6,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[7,4,5,2,3,1,6]=>[4,5,2,3,1,6]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[7,4,5,2,3,6,1]=>[4,5,2,3,6,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[7,4,5,2,6,1,3]=>[4,5,2,6,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[7,4,5,2,6,3,1]=>[4,5,2,6,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[7,4,5,3,1,2,6]=>[4,5,3,1,2,6]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[7,4,5,3,1,6,2]=>[4,5,3,1,6,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[7,4,5,3,2,1,6]=>[4,5,3,2,1,6]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[7,4,5,3,2,6,1]=>[4,5,3,2,6,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[7,4,5,3,6,1,2]=>[4,5,3,6,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[7,4,5,3,6,2,1]=>[4,5,3,6,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[7,4,5,6,1,2,3]=>[4,5,6,1,2,3]=>[[1,2,3],[4,5,6]]=>[[1,4],[2,5],[3,6]]
[7,4,5,6,1,3,2]=>[4,5,6,1,3,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[7,4,5,6,2,1,3]=>[4,5,6,2,1,3]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[7,4,5,6,2,3,1]=>[4,5,6,2,3,1]=>[[1,3,6],[2,5],[4]]=>[[1,2,4],[3,5],[6]]
[7,4,5,6,3,1,2]=>[4,5,6,3,1,2]=>[[1,2,6],[3,5],[4]]=>[[1,3,4],[2,5],[6]]
[7,4,5,6,3,2,1]=>[4,5,6,3,2,1]=>[[1,5,6],[2],[3],[4]]=>[[1,2,3,4],[5],[6]]
[7,4,6,1,2,3,5]=>[4,6,1,2,3,5]=>[[1,2,3,5],[4,6]]=>[[1,4],[2,6],[3],[5]]
[7,4,6,1,2,5,3]=>[4,6,1,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[7,4,6,1,3,2,5]=>[4,6,1,3,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[7,4,6,1,3,5,2]=>[4,6,1,3,5,2]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[7,4,6,1,5,2,3]=>[4,6,1,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[7,4,6,1,5,3,2]=>[4,6,1,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[7,4,6,2,1,3,5]=>[4,6,2,1,3,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[7,4,6,2,1,5,3]=>[4,6,2,1,5,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[7,4,6,2,3,1,5]=>[4,6,2,3,1,5]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[7,4,6,2,3,5,1]=>[4,6,2,3,5,1]=>[[1,3,5],[2,6],[4]]=>[[1,2,4],[3,6],[5]]
[7,4,6,2,5,1,3]=>[4,6,2,5,1,3]=>[[1,3],[2,5],[4,6]]=>[[1,2,4],[3,5,6]]
[7,4,6,2,5,3,1]=>[4,6,2,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[7,4,6,3,1,2,5]=>[4,6,3,1,2,5]=>[[1,2,5],[3,6],[4]]=>[[1,3,4],[2,6],[5]]
[7,4,6,3,1,5,2]=>[4,6,3,1,5,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[7,4,6,3,2,1,5]=>[4,6,3,2,1,5]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[7,4,6,3,2,5,1]=>[4,6,3,2,5,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[7,4,6,3,5,1,2]=>[4,6,3,5,1,2]=>[[1,2],[3,5],[4,6]]=>[[1,3,4],[2,5,6]]
[7,4,6,3,5,2,1]=>[4,6,3,5,2,1]=>[[1,5],[2,6],[3],[4]]=>[[1,2,3,4],[5,6]]
[7,4,6,5,1,2,3]=>[4,6,5,1,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[7,4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[7,4,6,5,2,1,3]=>[4,6,5,2,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[7,4,6,5,2,3,1]=>[4,6,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[7,4,6,5,3,1,2]=>[4,6,5,3,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[7,4,6,5,3,2,1]=>[4,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[7,5,1,2,3,4,6]=>[5,1,2,3,4,6]=>[[1,2,3,4,6],[5]]=>[[1,5],[2],[3],[4],[6]]
[7,5,1,2,3,6,4]=>[5,1,2,3,6,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[7,5,1,2,4,3,6]=>[5,1,2,4,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[7,5,1,2,4,6,3]=>[5,1,2,4,6,3]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[7,5,1,2,6,3,4]=>[5,1,2,6,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[7,5,1,2,6,4,3]=>[5,1,2,6,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[7,5,1,3,2,4,6]=>[5,1,3,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[7,5,1,3,2,6,4]=>[5,1,3,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[7,5,1,3,4,2,6]=>[5,1,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[7,5,1,3,4,6,2]=>[5,1,3,4,6,2]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[7,5,1,3,6,2,4]=>[5,1,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[7,5,1,3,6,4,2]=>[5,1,3,6,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[7,5,1,4,2,3,6]=>[5,1,4,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[7,5,1,4,2,6,3]=>[5,1,4,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[7,5,1,4,3,2,6]=>[5,1,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[7,5,1,4,3,6,2]=>[5,1,4,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[7,5,1,4,6,2,3]=>[5,1,4,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[7,5,1,4,6,3,2]=>[5,1,4,6,3,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[7,5,1,6,2,3,4]=>[5,1,6,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[7,5,1,6,2,4,3]=>[5,1,6,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[7,5,1,6,3,2,4]=>[5,1,6,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[7,5,1,6,3,4,2]=>[5,1,6,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[7,5,1,6,4,2,3]=>[5,1,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[7,5,1,6,4,3,2]=>[5,1,6,4,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[7,5,2,1,3,4,6]=>[5,2,1,3,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[7,5,2,1,3,6,4]=>[5,2,1,3,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[7,5,2,1,4,3,6]=>[5,2,1,4,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[7,5,2,1,4,6,3]=>[5,2,1,4,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[7,5,2,1,6,3,4]=>[5,2,1,6,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[7,5,2,1,6,4,3]=>[5,2,1,6,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[7,5,2,3,1,4,6]=>[5,2,3,1,4,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[7,5,2,3,1,6,4]=>[5,2,3,1,6,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[7,5,2,3,4,1,6]=>[5,2,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[7,5,2,3,4,6,1]=>[5,2,3,4,6,1]=>[[1,3,4,6],[2],[5]]=>[[1,2,5],[3],[4],[6]]
[7,5,2,3,6,1,4]=>[5,2,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[7,5,2,3,6,4,1]=>[5,2,3,6,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[7,5,2,4,1,3,6]=>[5,2,4,1,3,6]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[7,5,2,4,1,6,3]=>[5,2,4,1,6,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[7,5,2,4,3,1,6]=>[5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[7,5,2,4,3,6,1]=>[5,2,4,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[7,5,2,4,6,1,3]=>[5,2,4,6,1,3]=>[[1,3,6],[2,4],[5]]=>[[1,2,5],[3,4],[6]]
[7,5,2,4,6,3,1]=>[5,2,4,6,3,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[7,5,2,6,1,3,4]=>[5,2,6,1,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[7,5,2,6,1,4,3]=>[5,2,6,1,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[7,5,2,6,3,1,4]=>[5,2,6,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[7,5,2,6,3,4,1]=>[5,2,6,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[7,5,2,6,4,1,3]=>[5,2,6,4,1,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[7,5,2,6,4,3,1]=>[5,2,6,4,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[7,5,3,1,2,4,6]=>[5,3,1,2,4,6]=>[[1,2,4,6],[3],[5]]=>[[1,3,5],[2],[4],[6]]
[7,5,3,1,2,6,4]=>[5,3,1,2,6,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[7,5,3,1,4,2,6]=>[5,3,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[7,5,3,1,4,6,2]=>[5,3,1,4,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[7,5,3,1,6,2,4]=>[5,3,1,6,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[7,5,3,1,6,4,2]=>[5,3,1,6,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[7,5,3,2,1,4,6]=>[5,3,2,1,4,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[7,5,3,2,1,6,4]=>[5,3,2,1,6,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[7,5,3,2,4,1,6]=>[5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[7,5,3,2,4,6,1]=>[5,3,2,4,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[7,5,3,2,6,1,4]=>[5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[7,5,3,2,6,4,1]=>[5,3,2,6,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[7,5,3,4,1,2,6]=>[5,3,4,1,2,6]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[7,5,3,4,1,6,2]=>[5,3,4,1,6,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[7,5,3,4,2,1,6]=>[5,3,4,2,1,6]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[7,5,3,4,2,6,1]=>[5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[7,5,3,4,6,1,2]=>[5,3,4,6,1,2]=>[[1,2,6],[3,4],[5]]=>[[1,3,5],[2,4],[6]]
[7,5,3,4,6,2,1]=>[5,3,4,6,2,1]=>[[1,4,6],[2],[3],[5]]=>[[1,2,3,5],[4],[6]]
[7,5,3,6,1,2,4]=>[5,3,6,1,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[7,5,3,6,1,4,2]=>[5,3,6,1,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[7,5,3,6,2,1,4]=>[5,3,6,2,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[7,5,3,6,2,4,1]=>[5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[7,5,3,6,4,1,2]=>[5,3,6,4,1,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[7,5,3,6,4,2,1]=>[5,3,6,4,2,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[7,5,4,1,2,3,6]=>[5,4,1,2,3,6]=>[[1,2,3,6],[4],[5]]=>[[1,4,5],[2],[3],[6]]
[7,5,4,1,2,6,3]=>[5,4,1,2,6,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[7,5,4,1,3,2,6]=>[5,4,1,3,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[7,5,4,1,3,6,2]=>[5,4,1,3,6,2]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[7,5,4,1,6,2,3]=>[5,4,1,6,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[7,5,4,1,6,3,2]=>[5,4,1,6,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[7,5,4,2,1,3,6]=>[5,4,2,1,3,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[7,5,4,2,1,6,3]=>[5,4,2,1,6,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[7,5,4,2,3,1,6]=>[5,4,2,3,1,6]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[7,5,4,2,3,6,1]=>[5,4,2,3,6,1]=>[[1,3,6],[2],[4],[5]]=>[[1,2,4,5],[3],[6]]
[7,5,4,2,6,1,3]=>[5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[7,5,4,2,6,3,1]=>[5,4,2,6,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[7,5,4,3,1,2,6]=>[5,4,3,1,2,6]=>[[1,2,6],[3],[4],[5]]=>[[1,3,4,5],[2],[6]]
[7,5,4,3,1,6,2]=>[5,4,3,1,6,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[7,5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[7,5,4,3,2,6,1]=>[5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[7,5,4,3,6,1,2]=>[5,4,3,6,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[7,5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[7,5,4,6,1,2,3]=>[5,4,6,1,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[7,5,4,6,1,3,2]=>[5,4,6,1,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[7,5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[7,5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[7,5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[7,5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[7,5,6,1,2,3,4]=>[5,6,1,2,3,4]=>[[1,2,3,4],[5,6]]=>[[1,5],[2,6],[3],[4]]
[7,5,6,1,2,4,3]=>[5,6,1,2,4,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[7,5,6,1,3,2,4]=>[5,6,1,3,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[7,5,6,1,3,4,2]=>[5,6,1,3,4,2]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[7,5,6,1,4,2,3]=>[5,6,1,4,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[7,5,6,1,4,3,2]=>[5,6,1,4,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[7,5,6,2,1,3,4]=>[5,6,2,1,3,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[7,5,6,2,1,4,3]=>[5,6,2,1,4,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[7,5,6,2,3,1,4]=>[5,6,2,3,1,4]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[7,5,6,2,3,4,1]=>[5,6,2,3,4,1]=>[[1,3,4],[2,6],[5]]=>[[1,2,5],[3,6],[4]]
[7,5,6,2,4,1,3]=>[5,6,2,4,1,3]=>[[1,3],[2,4],[5,6]]=>[[1,2,5],[3,4,6]]
[7,5,6,2,4,3,1]=>[5,6,2,4,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[7,5,6,3,1,2,4]=>[5,6,3,1,2,4]=>[[1,2,4],[3,6],[5]]=>[[1,3,5],[2,6],[4]]
[7,5,6,3,1,4,2]=>[5,6,3,1,4,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[7,5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[7,5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[7,5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[[1,2],[3,4],[5,6]]=>[[1,3,5],[2,4,6]]
[7,5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5]]=>[[1,2,3,5],[4,6]]
[7,5,6,4,1,2,3]=>[5,6,4,1,2,3]=>[[1,2,3],[4,6],[5]]=>[[1,4,5],[2,6],[3]]
[7,5,6,4,1,3,2]=>[5,6,4,1,3,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[7,5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[7,5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5]]=>[[1,2,4,5],[3,6]]
[7,5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5]]=>[[1,3,4,5],[2,6]]
[7,5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6]]
[7,6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[[1,2,3,4,5],[6]]=>[[1,6],[2],[3],[4],[5]]
[7,6,1,2,3,5,4]=>[6,1,2,3,5,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[7,6,1,2,4,3,5]=>[6,1,2,4,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[7,6,1,2,4,5,3]=>[6,1,2,4,5,3]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[7,6,1,2,5,3,4]=>[6,1,2,5,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[7,6,1,2,5,4,3]=>[6,1,2,5,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[7,6,1,3,2,4,5]=>[6,1,3,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[7,6,1,3,2,5,4]=>[6,1,3,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[7,6,1,3,4,2,5]=>[6,1,3,4,2,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[7,6,1,3,4,5,2]=>[6,1,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[7,6,1,3,5,2,4]=>[6,1,3,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[7,6,1,3,5,4,2]=>[6,1,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[7,6,1,4,2,3,5]=>[6,1,4,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[7,6,1,4,2,5,3]=>[6,1,4,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[7,6,1,4,3,2,5]=>[6,1,4,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[7,6,1,4,3,5,2]=>[6,1,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[7,6,1,4,5,2,3]=>[6,1,4,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[7,6,1,4,5,3,2]=>[6,1,4,5,3,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[7,6,1,5,2,3,4]=>[6,1,5,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[7,6,1,5,2,4,3]=>[6,1,5,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[7,6,1,5,3,2,4]=>[6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[7,6,1,5,3,4,2]=>[6,1,5,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[7,6,1,5,4,2,3]=>[6,1,5,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[7,6,1,5,4,3,2]=>[6,1,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[7,6,2,1,3,4,5]=>[6,2,1,3,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[7,6,2,1,3,5,4]=>[6,2,1,3,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[7,6,2,1,4,3,5]=>[6,2,1,4,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[7,6,2,1,4,5,3]=>[6,2,1,4,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[7,6,2,1,5,3,4]=>[6,2,1,5,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[7,6,2,1,5,4,3]=>[6,2,1,5,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[7,6,2,3,1,4,5]=>[6,2,3,1,4,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[7,6,2,3,1,5,4]=>[6,2,3,1,5,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[7,6,2,3,4,1,5]=>[6,2,3,4,1,5]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[7,6,2,3,4,5,1]=>[6,2,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>[[1,2,6],[3],[4],[5]]
[7,6,2,3,5,1,4]=>[6,2,3,5,1,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[7,6,2,3,5,4,1]=>[6,2,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[7,6,2,4,1,3,5]=>[6,2,4,1,3,5]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[7,6,2,4,1,5,3]=>[6,2,4,1,5,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[7,6,2,4,3,1,5]=>[6,2,4,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[7,6,2,4,3,5,1]=>[6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[7,6,2,4,5,1,3]=>[6,2,4,5,1,3]=>[[1,3,5],[2,4],[6]]=>[[1,2,6],[3,4],[5]]
[7,6,2,4,5,3,1]=>[6,2,4,5,3,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[7,6,2,5,1,3,4]=>[6,2,5,1,3,4]=>[[1,3,4],[2,5],[6]]=>[[1,2,6],[3,5],[4]]
[7,6,2,5,1,4,3]=>[6,2,5,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[7,6,2,5,3,1,4]=>[6,2,5,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[7,6,2,5,3,4,1]=>[6,2,5,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[7,6,2,5,4,1,3]=>[6,2,5,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[7,6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[7,6,3,1,2,4,5]=>[6,3,1,2,4,5]=>[[1,2,4,5],[3],[6]]=>[[1,3,6],[2],[4],[5]]
[7,6,3,1,2,5,4]=>[6,3,1,2,5,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[7,6,3,1,4,2,5]=>[6,3,1,4,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[7,6,3,1,4,5,2]=>[6,3,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[7,6,3,1,5,2,4]=>[6,3,1,5,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[7,6,3,1,5,4,2]=>[6,3,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[7,6,3,2,1,4,5]=>[6,3,2,1,4,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[7,6,3,2,1,5,4]=>[6,3,2,1,5,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[7,6,3,2,4,1,5]=>[6,3,2,4,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[7,6,3,2,4,5,1]=>[6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[7,6,3,2,5,1,4]=>[6,3,2,5,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[7,6,3,2,5,4,1]=>[6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[7,6,3,4,1,2,5]=>[6,3,4,1,2,5]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[7,6,3,4,1,5,2]=>[6,3,4,1,5,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[7,6,3,4,2,1,5]=>[6,3,4,2,1,5]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[7,6,3,4,2,5,1]=>[6,3,4,2,5,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[7,6,3,4,5,1,2]=>[6,3,4,5,1,2]=>[[1,2,5],[3,4],[6]]=>[[1,3,6],[2,4],[5]]
[7,6,3,4,5,2,1]=>[6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6]]=>[[1,2,3,6],[4],[5]]
[7,6,3,5,1,2,4]=>[6,3,5,1,2,4]=>[[1,2,4],[3,5],[6]]=>[[1,3,6],[2,5],[4]]
[7,6,3,5,1,4,2]=>[6,3,5,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[7,6,3,5,2,1,4]=>[6,3,5,2,1,4]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[7,6,3,5,2,4,1]=>[6,3,5,2,4,1]=>[[1,4],[2,5],[3],[6]]=>[[1,2,3,6],[4,5]]
[7,6,3,5,4,1,2]=>[6,3,5,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[7,6,3,5,4,2,1]=>[6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[7,6,4,1,2,3,5]=>[6,4,1,2,3,5]=>[[1,2,3,5],[4],[6]]=>[[1,4,6],[2],[3],[5]]
[7,6,4,1,2,5,3]=>[6,4,1,2,5,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[7,6,4,1,3,2,5]=>[6,4,1,3,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[7,6,4,1,3,5,2]=>[6,4,1,3,5,2]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[7,6,4,1,5,2,3]=>[6,4,1,5,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[7,6,4,1,5,3,2]=>[6,4,1,5,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[7,6,4,2,1,3,5]=>[6,4,2,1,3,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[7,6,4,2,1,5,3]=>[6,4,2,1,5,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[7,6,4,2,3,1,5]=>[6,4,2,3,1,5]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[7,6,4,2,3,5,1]=>[6,4,2,3,5,1]=>[[1,3,5],[2],[4],[6]]=>[[1,2,4,6],[3],[5]]
[7,6,4,2,5,1,3]=>[6,4,2,5,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[7,6,4,2,5,3,1]=>[6,4,2,5,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[7,6,4,3,1,2,5]=>[6,4,3,1,2,5]=>[[1,2,5],[3],[4],[6]]=>[[1,3,4,6],[2],[5]]
[7,6,4,3,1,5,2]=>[6,4,3,1,5,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[7,6,4,3,2,1,5]=>[6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[7,6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[7,6,4,3,5,1,2]=>[6,4,3,5,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[7,6,4,3,5,2,1]=>[6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[7,6,4,5,1,2,3]=>[6,4,5,1,2,3]=>[[1,2,3],[4,5],[6]]=>[[1,4,6],[2,5],[3]]
[7,6,4,5,1,3,2]=>[6,4,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[7,6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[7,6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>[[1,2,4,6],[3,5]]
[7,6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[[1,2],[3,5],[4],[6]]=>[[1,3,4,6],[2,5]]
[7,6,4,5,3,2,1]=>[6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5]]
[7,6,5,1,2,3,4]=>[6,5,1,2,3,4]=>[[1,2,3,4],[5],[6]]=>[[1,5,6],[2],[3],[4]]
[7,6,5,1,2,4,3]=>[6,5,1,2,4,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[7,6,5,1,3,2,4]=>[6,5,1,3,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[7,6,5,1,3,4,2]=>[6,5,1,3,4,2]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[7,6,5,1,4,2,3]=>[6,5,1,4,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[7,6,5,1,4,3,2]=>[6,5,1,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[7,6,5,2,1,3,4]=>[6,5,2,1,3,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[7,6,5,2,1,4,3]=>[6,5,2,1,4,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[7,6,5,2,3,1,4]=>[6,5,2,3,1,4]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[7,6,5,2,3,4,1]=>[6,5,2,3,4,1]=>[[1,3,4],[2],[5],[6]]=>[[1,2,5,6],[3],[4]]
[7,6,5,2,4,1,3]=>[6,5,2,4,1,3]=>[[1,3],[2,4],[5],[6]]=>[[1,2,5,6],[3,4]]
[7,6,5,2,4,3,1]=>[6,5,2,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[7,6,5,3,1,2,4]=>[6,5,3,1,2,4]=>[[1,2,4],[3],[5],[6]]=>[[1,3,5,6],[2],[4]]
[7,6,5,3,1,4,2]=>[6,5,3,1,4,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[7,6,5,3,2,1,4]=>[6,5,3,2,1,4]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[7,6,5,3,2,4,1]=>[6,5,3,2,4,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[7,6,5,3,4,1,2]=>[6,5,3,4,1,2]=>[[1,2],[3,4],[5],[6]]=>[[1,3,5,6],[2,4]]
[7,6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4]]
[7,6,5,4,1,2,3]=>[6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6]]=>[[1,4,5,6],[2],[3]]
[7,6,5,4,1,3,2]=>[6,5,4,1,3,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[7,6,5,4,2,1,3]=>[6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[7,6,5,4,2,3,1]=>[6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3]]
[7,6,5,4,3,1,2]=>[6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2]]
[7,6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6]]
[8,7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>[[1,2,3,4,5,6,7]]
[7,8,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>[[1,2,3,4,5,6,7]]
[7,6,8,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>[[1,2,3,4,5,6,7]]
[6,7,8,5,4,3,2,1]=>[6,7,5,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7]]
[7,8,5,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6]]
[7,6,5,8,4,3,2,1]=>[7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>[[1,2,3,4,5,6,7]]
[7,5,6,8,4,3,2,1]=>[7,5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6]]
[6,5,7,8,4,3,2,1]=>[6,5,7,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7]]
[5,6,7,8,4,3,2,1]=>[5,6,7,4,3,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[8,7,6,4,5,3,2,1]=>[7,6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[[1,2,3,4,6,7],[5]]
[7,8,6,4,5,3,2,1]=>[7,6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[[1,2,3,4,6,7],[5]]
[8,6,7,4,5,3,2,1]=>[6,7,4,5,3,2,1]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[7,6,5,4,8,3,2,1]=>[7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>[[1,2,3,4,5,6,7]]
[6,5,7,4,8,3,2,1]=>[6,5,7,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7]]
[7,6,4,5,8,3,2,1]=>[7,6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[[1,2,3,4,6,7],[5]]
[7,5,4,6,8,3,2,1]=>[7,5,4,6,3,2,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6]]
[7,4,5,6,8,3,2,1]=>[7,4,5,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[4,5,6,7,8,3,2,1]=>[4,5,6,7,3,2,1]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[8,7,6,5,3,4,2,1]=>[7,6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[[1,2,3,5,6,7],[4]]
[7,8,6,5,3,4,2,1]=>[7,6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[[1,2,3,5,6,7],[4]]
[8,6,7,5,3,4,2,1]=>[6,7,5,3,4,2,1]=>[[1,4],[2,7],[3],[5],[6]]=>[[1,2,3,5,6],[4,7]]
[8,7,5,6,3,4,2,1]=>[7,5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[5,6,7,8,3,4,2,1]=>[5,6,7,3,4,2,1]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[6,7,8,3,4,5,2,1]=>[6,7,3,4,5,2,1]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[8,7,5,4,3,6,2,1]=>[7,5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6]]
[7,6,5,4,3,8,2,1]=>[7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>[[1,2,3,4,5,6,7]]
[6,4,5,7,3,8,2,1]=>[6,4,5,7,3,2,1]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5],[7]]
[5,4,6,7,3,8,2,1]=>[5,4,6,7,3,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[7,6,5,3,4,8,2,1]=>[7,6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[[1,2,3,5,6,7],[4]]
[7,6,4,3,5,8,2,1]=>[7,6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[[1,2,3,4,6,7],[5]]
[7,6,3,4,5,8,2,1]=>[7,6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[[1,2,3,6,7],[4],[5]]
[6,3,4,5,7,8,2,1]=>[6,3,4,5,7,2,1]=>[[1,4,5,7],[2],[3],[6]]=>[[1,2,3,6],[4],[5],[7]]
[4,3,5,6,7,8,2,1]=>[4,3,5,6,7,2,1]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[8,7,6,5,4,2,3,1]=>[7,6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[[1,2,4,5,6,7],[3]]
[7,8,6,5,4,2,3,1]=>[7,6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[[1,2,4,5,6,7],[3]]
[8,6,7,5,4,2,3,1]=>[6,7,5,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>[[1,2,4,5,6],[3,7]]
[8,7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]
[5,6,7,8,4,2,3,1]=>[5,6,7,4,2,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[8,7,6,4,5,2,3,1]=>[7,6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[[1,2,4,6,7],[3,5]]
[8,6,7,4,5,2,3,1]=>[6,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[4,5,6,7,8,2,3,1]=>[4,5,6,7,2,3,1]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[8,7,6,5,3,2,4,1]=>[7,6,5,3,2,4,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[[1,2,3,5,6,7],[4]]
[8,6,5,7,3,2,4,1]=>[6,5,7,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6]]=>[[1,2,3,5,6],[4,7]]
[5,6,7,8,3,2,4,1]=>[5,6,7,3,2,4,1]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[8,7,6,5,2,3,4,1]=>[7,6,5,2,3,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4]]
[6,7,8,5,2,3,4,1]=>[6,7,5,2,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[8,5,6,7,2,3,4,1]=>[5,6,7,2,3,4,1]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[5,6,7,8,2,3,4,1]=>[5,6,7,2,3,4,1]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[7,8,3,2,4,5,6,1]=>[7,3,2,4,5,6,1]=>[[1,4,5,6],[2],[3],[7]]=>[[1,2,3,7],[4],[5],[6]]
[7,6,5,4,3,2,8,1]=>[7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>[[1,2,3,4,5,6,7]]
[6,7,5,4,3,2,8,1]=>[6,7,5,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7]]
[6,5,7,4,3,2,8,1]=>[6,5,7,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7]]
[6,4,5,7,3,2,8,1]=>[6,4,5,7,3,2,1]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5],[7]]
[6,5,4,3,7,2,8,1]=>[6,5,4,3,7,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7]]
[5,4,6,3,7,2,8,1]=>[5,4,6,3,7,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[6,5,3,4,7,2,8,1]=>[6,5,3,4,7,2,1]=>[[1,4,7],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4],[7]]
[7,6,5,4,2,3,8,1]=>[7,6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[[1,2,4,5,6,7],[3]]
[6,7,4,5,2,3,8,1]=>[6,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[6,4,5,7,2,3,8,1]=>[6,4,5,7,2,3,1]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[4,5,6,7,2,3,8,1]=>[4,5,6,7,2,3,1]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[7,6,5,3,2,4,8,1]=>[7,6,5,3,2,4,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[[1,2,3,5,6,7],[4]]
[7,6,5,2,3,4,8,1]=>[7,6,5,2,3,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4]]
[6,7,2,3,4,5,8,1]=>[6,7,2,3,4,5,1]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[5,4,3,2,6,7,8,1]=>[5,4,3,2,6,7,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[3,4,5,2,6,7,8,1]=>[3,4,5,2,6,7,1]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]
[5,2,3,4,6,7,8,1]=>[5,2,3,4,6,7,1]=>[[1,3,4,6,7],[2],[5]]=>[[1,2,5],[3],[4],[6],[7]]
[4,3,2,5,6,7,8,1]=>[4,3,2,5,6,7,1]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[3,4,2,5,6,7,8,1]=>[3,4,2,5,6,7,1]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]
[4,2,3,5,6,7,8,1]=>[4,2,3,5,6,7,1]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,4],[3],[5],[6],[7]]
[3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,1]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]
[2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[8,7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2]]
[7,8,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2]]
[8,6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>[[1,3,4,5,6],[2,7]]
[8,7,5,6,4,3,1,2]=>[7,5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]
[6,5,7,8,4,3,1,2]=>[6,5,7,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>[[1,3,4,5,6],[2,7]]
[5,6,7,8,4,3,1,2]=>[5,6,7,4,3,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[8,7,6,4,5,3,1,2]=>[7,6,4,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7]]=>[[1,3,4,6,7],[2,5]]
[7,8,6,4,5,3,1,2]=>[7,6,4,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7]]=>[[1,3,4,6,7],[2,5]]
[4,5,6,7,8,3,1,2]=>[4,5,6,7,3,1,2]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[8,7,6,5,3,4,1,2]=>[7,6,5,3,4,1,2]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4]]
[8,7,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]
[7,8,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]
[7,6,5,8,3,4,1,2]=>[7,6,5,3,4,1,2]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4]]
[6,7,5,8,3,4,1,2]=>[6,7,5,3,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[7,5,6,8,3,4,1,2]=>[7,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]
[6,5,7,8,3,4,1,2]=>[6,5,7,3,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[5,6,7,8,3,4,1,2]=>[5,6,7,3,4,1,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[7,8,5,4,3,6,1,2]=>[7,5,4,3,6,1,2]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]
[7,8,4,5,3,6,1,2]=>[7,4,5,3,6,1,2]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[7,8,5,3,4,6,1,2]=>[7,5,3,4,6,1,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[7,8,4,3,5,6,1,2]=>[7,4,3,5,6,1,2]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[7,8,3,4,5,6,1,2]=>[7,3,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[8,4,3,5,6,7,1,2]=>[4,3,5,6,7,1,2]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[8,3,4,5,6,7,1,2]=>[3,4,5,6,7,1,2]=>[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]
[7,6,5,4,3,8,1,2]=>[7,6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2]]
[6,5,7,4,3,8,1,2]=>[6,5,7,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>[[1,3,4,5,6],[2,7]]
[5,6,7,4,3,8,1,2]=>[5,6,7,4,3,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[6,7,4,5,3,8,1,2]=>[6,7,4,5,3,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[5,6,4,7,3,8,1,2]=>[5,6,4,7,3,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,4,6,7,3,8,1,2]=>[5,4,6,7,3,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,4,6,3,7,8,1,2]=>[5,4,6,3,7,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,6,3,4,7,8,1,2]=>[5,6,3,4,7,1,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[6,4,3,5,7,8,1,2]=>[6,4,3,5,7,1,2]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[6,3,4,5,7,8,1,2]=>[6,3,4,5,7,1,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[5,4,3,6,7,8,1,2]=>[5,4,3,6,7,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[4,5,3,6,7,8,1,2]=>[4,5,3,6,7,1,2]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[4,3,5,6,7,8,1,2]=>[4,3,5,6,7,1,2]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[3,4,5,6,7,8,1,2]=>[3,4,5,6,7,1,2]=>[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]
[8,7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6],[7]]=>[[1,2,4,5,6,7],[3]]
[7,6,8,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6],[7]]=>[[1,2,4,5,6,7],[3]]
[5,6,7,8,4,2,1,3]=>[5,6,7,4,2,1,3]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[4,5,6,7,8,2,1,3]=>[4,5,6,7,2,1,3]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[8,7,6,5,4,1,2,3]=>[7,6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[6,7,8,5,4,1,2,3]=>[6,7,5,4,1,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[8,5,6,7,4,1,2,3]=>[5,6,7,4,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[6,5,7,8,4,1,2,3]=>[6,5,7,4,1,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[5,6,7,8,4,1,2,3]=>[5,6,7,4,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[8,7,6,4,5,1,2,3]=>[7,6,4,5,1,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[8,6,7,4,5,1,2,3]=>[6,7,4,5,1,2,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[8,7,4,5,6,1,2,3]=>[7,4,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[7,8,4,5,6,1,2,3]=>[7,4,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[6,7,4,5,8,1,2,3]=>[6,7,4,5,1,2,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[6,5,4,7,8,1,2,3]=>[6,5,4,7,1,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[4,5,6,7,8,1,2,3]=>[4,5,6,7,1,2,3]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[8,7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4]=>[[1,4],[2],[3],[5],[6],[7]]=>[[1,2,3,5,6,7],[4]]
[7,8,5,6,3,2,1,4]=>[7,5,6,3,2,1,4]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[7,6,5,8,3,2,1,4]=>[7,6,5,3,2,1,4]=>[[1,4],[2],[3],[5],[6],[7]]=>[[1,2,3,5,6,7],[4]]
[5,6,7,8,3,2,1,4]=>[5,6,7,3,2,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[8,7,6,5,2,3,1,4]=>[7,6,5,2,3,1,4]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4]]
[7,8,5,6,2,3,1,4]=>[7,5,6,2,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[6,7,5,8,2,3,1,4]=>[6,7,5,2,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[7,5,6,8,2,3,1,4]=>[7,5,6,2,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[5,6,7,8,2,3,1,4]=>[5,6,7,2,3,1,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[8,7,6,5,3,1,2,4]=>[7,6,5,3,1,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[7,8,5,6,3,1,2,4]=>[7,5,6,3,1,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[6,7,5,8,3,1,2,4]=>[6,7,5,3,1,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[7,5,6,8,3,1,2,4]=>[7,5,6,3,1,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[5,6,7,8,3,1,2,4]=>[5,6,7,3,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[8,7,6,5,2,1,3,4]=>[7,6,5,2,1,3,4]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4]]
[7,8,6,5,2,1,3,4]=>[7,6,5,2,1,3,4]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4]]
[6,7,8,5,2,1,3,4]=>[6,7,5,2,1,3,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[7,8,5,6,2,1,3,4]=>[7,5,6,2,1,3,4]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[6,5,7,8,2,1,3,4]=>[6,5,7,2,1,3,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[5,6,7,8,2,1,3,4]=>[5,6,7,2,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[8,7,6,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[7,8,6,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[8,6,7,5,1,2,3,4]=>[6,7,5,1,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[7,6,8,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[6,7,8,5,1,2,3,4]=>[6,7,5,1,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[8,7,5,6,1,2,3,4]=>[7,5,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[7,8,5,6,1,2,3,4]=>[7,5,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[8,6,5,7,1,2,3,4]=>[6,5,7,1,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[8,5,6,7,1,2,3,4]=>[5,6,7,1,2,3,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[7,6,5,8,1,2,3,4]=>[7,6,5,1,2,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[6,7,5,8,1,2,3,4]=>[6,7,5,1,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[7,5,6,8,1,2,3,4]=>[7,5,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[6,5,7,8,1,2,3,4]=>[6,5,7,1,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[5,6,7,8,1,2,3,4]=>[5,6,7,1,2,3,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[8,7,6,4,3,2,1,5]=>[7,6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6],[7]]=>[[1,2,3,4,6,7],[5]]
[6,7,8,4,3,2,1,5]=>[6,7,4,3,2,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[8,7,6,3,4,2,1,5]=>[7,6,3,4,2,1,5]=>[[1,4,5],[2],[3],[6],[7]]=>[[1,2,3,6,7],[4],[5]]
[6,7,8,3,4,2,1,5]=>[6,7,3,4,2,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[8,7,6,4,2,3,1,5]=>[7,6,4,2,3,1,5]=>[[1,3,5],[2],[4],[6],[7]]=>[[1,2,4,6,7],[3],[5]]
[6,7,8,4,2,3,1,5]=>[6,7,4,2,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[8,7,6,3,2,4,1,5]=>[7,6,3,2,4,1,5]=>[[1,4,5],[2],[3],[6],[7]]=>[[1,2,3,6,7],[4],[5]]
[6,7,8,3,2,4,1,5]=>[6,7,3,2,4,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[8,7,6,2,3,4,1,5]=>[7,6,2,3,4,1,5]=>[[1,3,4,5],[2],[6],[7]]=>[[1,2,6,7],[3],[4],[5]]
[6,7,8,2,3,4,1,5]=>[6,7,2,3,4,1,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[8,7,6,4,3,1,2,5]=>[7,6,4,3,1,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[6,7,8,4,3,1,2,5]=>[6,7,4,3,1,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[8,7,6,3,4,1,2,5]=>[7,6,3,4,1,2,5]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[6,7,8,3,4,1,2,5]=>[6,7,3,4,1,2,5]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[8,7,6,4,2,1,3,5]=>[7,6,4,2,1,3,5]=>[[1,3,5],[2],[4],[6],[7]]=>[[1,2,4,6,7],[3],[5]]
[6,7,8,4,2,1,3,5]=>[6,7,4,2,1,3,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[8,7,6,4,1,2,3,5]=>[7,6,4,1,2,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[6,7,8,4,1,2,3,5]=>[6,7,4,1,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[8,7,6,3,2,1,4,5]=>[7,6,3,2,1,4,5]=>[[1,4,5],[2],[3],[6],[7]]=>[[1,2,3,6,7],[4],[5]]
[6,7,8,3,2,1,4,5]=>[6,7,3,2,1,4,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[8,7,6,2,3,1,4,5]=>[7,6,2,3,1,4,5]=>[[1,3,4,5],[2],[6],[7]]=>[[1,2,6,7],[3],[4],[5]]
[6,7,8,2,3,1,4,5]=>[6,7,2,3,1,4,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[8,7,6,3,1,2,4,5]=>[7,6,3,1,2,4,5]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[6,7,8,3,1,2,4,5]=>[6,7,3,1,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[8,7,6,2,1,3,4,5]=>[7,6,2,1,3,4,5]=>[[1,3,4,5],[2],[6],[7]]=>[[1,2,6,7],[3],[4],[5]]
[6,7,8,2,1,3,4,5]=>[6,7,2,1,3,4,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[8,7,6,1,2,3,4,5]=>[7,6,1,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[7,8,6,1,2,3,4,5]=>[7,6,1,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[8,6,7,1,2,3,4,5]=>[6,7,1,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[7,6,8,1,2,3,4,5]=>[7,6,1,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[6,7,8,1,2,3,4,5]=>[6,7,1,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[7,8,5,4,3,2,1,6]=>[7,5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6]]
[7,8,4,5,2,3,1,6]=>[7,4,5,2,3,1,6]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[7,8,3,4,2,5,1,6]=>[7,3,4,2,5,1,6]=>[[1,4,5,6],[2],[3],[7]]=>[[1,2,3,7],[4],[5],[6]]
[7,8,5,4,2,1,3,6]=>[7,5,4,2,1,3,6]=>[[1,3,6],[2],[4],[5],[7]]=>[[1,2,4,5,7],[3],[6]]
[7,8,5,4,1,2,3,6]=>[7,5,4,1,2,3,6]=>[[1,2,3,6],[4],[5],[7]]=>[[1,4,5,7],[2],[3],[6]]
[7,8,4,5,1,2,3,6]=>[7,4,5,1,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[8,7,5,2,1,3,4,6]=>[7,5,2,1,3,4,6]=>[[1,3,4,6],[2],[5],[7]]=>[[1,2,5,7],[3],[4],[6]]
[7,8,5,2,1,3,4,6]=>[7,5,2,1,3,4,6]=>[[1,3,4,6],[2],[5],[7]]=>[[1,2,5,7],[3],[4],[6]]
[8,7,5,1,2,3,4,6]=>[7,5,1,2,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[7,8,5,1,2,3,4,6]=>[7,5,1,2,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[8,7,4,3,2,1,5,6]=>[7,4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[7,8,4,3,2,1,5,6]=>[7,4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[7,8,3,2,4,1,5,6]=>[7,3,2,4,1,5,6]=>[[1,4,5,6],[2],[3],[7]]=>[[1,2,3,7],[4],[5],[6]]
[7,8,2,3,4,1,5,6]=>[7,2,3,4,1,5,6]=>[[1,3,4,5,6],[2],[7]]=>[[1,2,7],[3],[4],[5],[6]]
[7,8,3,4,1,2,5,6]=>[7,3,4,1,2,5,6]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[7,8,4,2,1,3,5,6]=>[7,4,2,1,3,5,6]=>[[1,3,5,6],[2],[4],[7]]=>[[1,2,4,7],[3],[5],[6]]
[8,7,4,1,2,3,5,6]=>[7,4,1,2,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>[[1,4,7],[2],[3],[5],[6]]
[8,7,3,2,1,4,5,6]=>[7,3,2,1,4,5,6]=>[[1,4,5,6],[2],[3],[7]]=>[[1,2,3,7],[4],[5],[6]]
[7,8,3,2,1,4,5,6]=>[7,3,2,1,4,5,6]=>[[1,4,5,6],[2],[3],[7]]=>[[1,2,3,7],[4],[5],[6]]
[7,8,2,1,3,4,5,6]=>[7,2,1,3,4,5,6]=>[[1,3,4,5,6],[2],[7]]=>[[1,2,7],[3],[4],[5],[6]]
[8,7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[7,8,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[8,6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7]]
[8,4,5,6,3,2,1,7]=>[4,5,6,3,2,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[8,6,5,4,3,1,2,7]=>[6,5,4,3,1,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[8,5,6,3,4,1,2,7]=>[5,6,3,4,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[8,4,3,5,6,1,2,7]=>[4,3,5,6,1,2,7]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[8,3,4,5,6,1,2,7]=>[3,4,5,6,1,2,7]=>[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]
[8,6,5,4,2,1,3,7]=>[6,5,4,2,1,3,7]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3],[7]]
[8,6,4,5,1,2,3,7]=>[6,4,5,1,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[8,6,5,2,3,1,4,7]=>[6,5,2,3,1,4,7]=>[[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]
[8,5,6,2,3,1,4,7]=>[5,6,2,3,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[8,5,6,2,1,3,4,7]=>[5,6,2,1,3,4,7]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[8,6,5,1,2,3,4,7]=>[6,5,1,2,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[8,5,6,1,2,3,4,7]=>[5,6,1,2,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[8,6,4,3,2,1,5,7]=>[6,4,3,2,1,5,7]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5],[7]]
[8,6,3,4,2,1,5,7]=>[6,3,4,2,1,5,7]=>[[1,4,5,7],[2],[3],[6]]=>[[1,2,3,6],[4],[5],[7]]
[8,6,4,2,1,3,5,7]=>[6,4,2,1,3,5,7]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[8,4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[8,2,3,4,1,5,6,7]=>[2,3,4,1,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[8,4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[[1,4],[2],[3],[5],[6],[7]]
[8,3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]
[8,2,3,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[8,3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[[1,3],[2],[4],[5],[6],[7]]
[8,2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7]]=>[[1],[2],[3],[4],[5],[6],[7]]
[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>[[1,2,3,4,5,6,7]]
[6,7,5,4,3,2,1,8]=>[6,7,5,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7]]
[6,5,7,4,3,2,1,8]=>[6,5,7,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7]]
[5,6,7,4,3,2,1,8]=>[5,6,7,4,3,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[7,6,4,5,3,2,1,8]=>[7,6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[[1,2,3,4,6,7],[5]]
[7,4,5,6,3,2,1,8]=>[7,4,5,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[6,5,4,7,3,2,1,8]=>[6,5,4,7,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7]]
[7,5,6,3,4,2,1,8]=>[7,5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[5,6,7,3,4,2,1,8]=>[5,6,7,3,4,2,1]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[7,6,4,3,5,2,1,8]=>[7,6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[[1,2,3,4,6,7],[5]]
[7,6,3,4,5,2,1,8]=>[7,6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[[1,2,3,6,7],[4],[5]]
[7,5,4,3,6,2,1,8]=>[7,5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6]]
[6,7,5,4,2,3,1,8]=>[6,7,5,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>[[1,2,4,5,6],[3,7]]
[5,6,7,4,2,3,1,8]=>[5,6,7,4,2,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[7,6,4,5,2,3,1,8]=>[7,6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[[1,2,4,6,7],[3,5]]
[6,7,4,5,2,3,1,8]=>[6,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[7,4,5,6,2,3,1,8]=>[7,4,5,6,2,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[5,6,4,7,2,3,1,8]=>[5,6,4,7,2,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[6,5,7,3,2,4,1,8]=>[6,5,7,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6]]=>[[1,2,3,5,6],[4,7]]
[5,6,7,3,2,4,1,8]=>[5,6,7,3,2,4,1]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[7,6,5,2,3,4,1,8]=>[7,6,5,2,3,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4]]
[6,7,5,2,3,4,1,8]=>[6,7,5,2,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[7,5,6,2,3,4,1,8]=>[7,5,6,2,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[6,5,7,2,3,4,1,8]=>[6,5,7,2,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[5,6,7,2,3,4,1,8]=>[5,6,7,2,3,4,1]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[6,7,3,4,2,5,1,8]=>[6,7,3,4,2,5,1]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[7,4,5,2,3,6,1,8]=>[7,4,5,2,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[5,6,3,4,2,7,1,8]=>[5,6,3,4,2,7,1]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[4,5,3,6,2,7,1,8]=>[4,5,3,6,2,7,1]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[5,4,3,2,6,7,1,8]=>[5,4,3,2,6,7,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[3,2,4,5,6,7,1,8]=>[3,2,4,5,6,7,1]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]
[2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[7,6,5,4,3,1,2,8]=>[7,6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2]]
[7,5,6,4,3,1,2,8]=>[7,5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]
[7,4,5,6,3,1,2,8]=>[7,4,5,6,3,1,2]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[7,6,5,4,2,1,3,8]=>[7,6,5,4,2,1,3]=>[[1,3],[2],[4],[5],[6],[7]]=>[[1,2,4,5,6,7],[3]]
[6,5,7,4,2,1,3,8]=>[6,5,7,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>[[1,2,4,5,6],[3,7]]
[7,5,4,6,2,1,3,8]=>[7,5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]
[7,4,5,6,2,1,3,8]=>[7,4,5,6,2,1,3]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[7,6,5,4,1,2,3,8]=>[7,6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[5,6,7,4,1,2,3,8]=>[5,6,7,4,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[7,4,5,6,1,2,3,8]=>[7,4,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[5,6,4,7,1,2,3,8]=>[5,6,4,7,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[5,4,6,7,1,2,3,8]=>[5,4,6,7,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[5,6,7,3,1,2,4,8]=>[5,6,7,3,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[5,6,7,2,1,3,4,8]=>[5,6,7,2,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[7,6,5,1,2,3,4,8]=>[7,6,5,1,2,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[6,7,5,1,2,3,4,8]=>[6,7,5,1,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[7,5,6,1,2,3,4,8]=>[7,5,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[6,5,7,1,2,3,4,8]=>[6,5,7,1,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[5,6,7,1,2,3,4,8]=>[5,6,7,1,2,3,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[7,6,4,3,2,1,5,8]=>[7,6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6],[7]]=>[[1,2,3,4,6,7],[5]]
[7,6,4,3,1,2,5,8]=>[7,6,4,3,1,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[6,7,1,2,3,4,5,8]=>[6,7,1,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[7,5,3,1,2,4,6,8]=>[7,5,3,1,2,4,6]=>[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]
[7,5,1,2,3,4,6,8]=>[7,5,1,2,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[7,4,3,2,1,5,6,8]=>[7,4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[7,3,1,2,4,5,6,8]=>[7,3,1,2,4,5,6]=>[[1,2,4,5,6],[3],[7]]=>[[1,3,7],[2],[4],[5],[6]]
[7,2,1,3,4,5,6,8]=>[7,2,1,3,4,5,6]=>[[1,3,4,5,6],[2],[7]]=>[[1,2,7],[3],[4],[5],[6]]
[7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7]]
[5,4,3,2,6,1,7,8]=>[5,4,3,2,6,1,7]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[4,5,3,2,6,1,7,8]=>[4,5,3,2,6,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[4,2,3,5,6,1,7,8]=>[4,2,3,5,6,1,7]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,4],[3],[5],[6],[7]]
[2,3,4,5,6,1,7,8]=>[2,3,4,5,6,1,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[5,6,4,3,1,2,7,8]=>[5,6,4,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,4,6,3,1,2,7,8]=>[5,4,6,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,6,3,4,1,2,7,8]=>[5,6,3,4,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[5,4,3,6,1,2,7,8]=>[5,4,3,6,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,6,4,2,1,3,7,8]=>[5,6,4,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,4,6,2,1,3,7,8]=>[5,4,6,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[4,5,6,1,2,3,7,8]=>[4,5,6,1,2,3,7]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[5,6,3,2,1,4,7,8]=>[5,6,3,2,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[6,4,3,2,1,5,7,8]=>[6,4,3,2,1,5,7]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5],[7]]
[6,4,3,1,2,5,7,8]=>[6,4,3,1,2,5,7]=>[[1,2,5,7],[3],[4],[6]]=>[[1,3,4,6],[2],[5],[7]]
[6,4,1,2,3,5,7,8]=>[6,4,1,2,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[6,2,3,1,4,5,7,8]=>[6,2,3,1,4,5,7]=>[[1,3,4,5,7],[2],[6]]=>[[1,2,6],[3],[4],[5],[7]]
[6,1,2,3,4,5,7,8]=>[6,1,2,3,4,5,7]=>[[1,2,3,4,5,7],[6]]=>[[1,6],[2],[3],[4],[5],[7]]
[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[4,5,2,3,1,6,7,8]=>[4,5,2,3,1,6,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[5,2,3,4,1,6,7,8]=>[5,2,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>[[1,2,5],[3],[4],[6],[7]]
[2,3,4,5,1,6,7,8]=>[2,3,4,5,1,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[5,3,1,2,4,6,7,8]=>[5,3,1,2,4,6,7]=>[[1,2,4,6,7],[3],[5]]=>[[1,3,5],[2],[4],[6],[7]]
[5,1,2,3,4,6,7,8]=>[5,1,2,3,4,6,7]=>[[1,2,3,4,6,7],[5]]=>[[1,5],[2],[3],[4],[6],[7]]
[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[3,2,4,1,5,6,7,8]=>[3,2,4,1,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]
[2,3,4,1,5,6,7,8]=>[2,3,4,1,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[3,4,1,2,5,6,7,8]=>[3,4,1,2,5,6,7]=>[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]
[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[[1,4],[2],[3],[5],[6],[7]]
[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]
[3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[[1,3],[2],[4],[5],[6],[7]]
[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7]]=>[[1],[2],[3],[4],[5],[6],[7]]
[5,8,7,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6]]
[6,5,8,7,4,3,2,1]=>[6,5,7,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7]]
[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[[1,2,3,4,6,7],[5]]
[4,7,6,5,8,3,2,1]=>[4,7,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[[1,2,3,4,6,7],[5]]
[3,7,6,8,5,4,2,1]=>[3,7,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[[1,2,3,5,6,7],[4]]
[3,5,8,7,6,4,2,1]=>[3,5,7,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>[[1,2,3,5,7],[4],[6]]
[3,5,6,7,8,4,2,1]=>[3,5,6,7,4,2,1]=>[[1,4,6,7],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7]]
[3,4,8,7,6,5,2,1]=>[3,4,7,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[[1,2,3,6,7],[4],[5]]
[3,4,5,8,7,6,2,1]=>[3,4,5,7,6,2,1]=>[[1,4,5,6],[2],[3],[7]]=>[[1,2,3,7],[4],[5],[6]]
[4,3,6,5,8,7,2,1]=>[4,3,6,5,7,2,1]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[5,7,6,4,3,8,2,1]=>[5,7,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6]]
[2,7,8,6,5,4,3,1]=>[2,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[[1,2,4,5,6,7],[3]]
[2,6,8,7,5,4,3,1]=>[2,6,7,5,4,3,1]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3],[7]]
[2,5,6,7,8,4,3,1]=>[2,5,6,7,4,3,1]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,4,5],[3],[6],[7]]
[2,4,8,7,6,5,3,1]=>[2,4,7,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>[[1,2,4,6,7],[3],[5]]
[2,4,6,8,7,5,3,1]=>[2,4,6,7,5,3,1]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[2,7,6,5,4,8,3,1]=>[2,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[[1,2,4,5,6,7],[3]]
[2,3,5,6,8,7,4,1]=>[2,3,5,6,7,4,1]=>[[1,3,4,6,7],[2],[5]]=>[[1,2,5],[3],[4],[6],[7]]
[2,3,5,6,7,8,4,1]=>[2,3,5,6,7,4,1]=>[[1,3,4,6,7],[2],[5]]=>[[1,2,5],[3],[4],[6],[7]]
[4,3,2,8,7,6,5,1]=>[4,3,2,7,6,5,1]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[3,4,2,8,7,6,5,1]=>[3,4,2,7,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[2,4,3,8,7,6,5,1]=>[2,4,3,7,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[3,2,4,8,7,6,5,1]=>[3,2,4,7,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[2,3,4,8,7,6,5,1]=>[2,3,4,7,6,5,1]=>[[1,3,4,5],[2],[6],[7]]=>[[1,2,6,7],[3],[4],[5]]
[5,4,3,2,8,7,6,1]=>[5,4,3,2,7,6,1]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[5,4,3,2,7,8,6,1]=>[5,4,3,2,7,6,1]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[2,5,4,3,8,7,6,1]=>[2,5,4,3,7,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[2,5,4,3,7,8,6,1]=>[2,5,4,3,7,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[2,4,5,3,7,8,6,1]=>[2,4,5,3,7,6,1]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[3,4,2,5,7,8,6,1]=>[3,4,2,5,7,6,1]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[4,3,6,5,2,8,7,1]=>[4,3,6,5,2,7,1]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[3,2,6,5,4,8,7,1]=>[3,2,6,5,4,7,1]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[2,4,3,6,5,8,7,1]=>[2,4,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[5,4,3,2,6,8,7,1]=>[5,4,3,2,6,7,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[2,5,4,3,6,8,7,1]=>[2,5,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,4,5],[3],[6],[7]]
[2,4,3,5,6,8,7,1]=>[2,4,3,5,6,7,1]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,4],[3],[5],[6],[7]]
[2,3,4,5,6,8,7,1]=>[2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[4,3,6,5,7,2,8,1]=>[4,3,6,5,7,2,1]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[2,5,4,7,6,3,8,1]=>[2,5,4,7,6,3,1]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[2,5,4,6,7,3,8,1]=>[2,5,4,6,7,3,1]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,4,5],[3],[6],[7]]
[3,2,6,5,7,4,8,1]=>[3,2,6,5,7,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[4,3,2,7,6,5,8,1]=>[4,3,2,7,6,5,1]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[3,4,2,6,7,5,8,1]=>[3,4,2,6,7,5,1]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[5,4,3,2,7,6,8,1]=>[5,4,3,2,7,6,1]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[4,3,5,2,7,6,8,1]=>[4,3,5,2,7,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[2,5,4,3,7,6,8,1]=>[2,5,4,3,7,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[3,2,5,4,7,6,8,1]=>[3,2,5,4,7,6,1]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[2,3,5,4,7,6,8,1]=>[2,3,5,4,7,6,1]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[3,2,4,5,7,6,8,1]=>[3,2,4,5,7,6,1]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[2,4,3,6,5,7,8,1]=>[2,4,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,5,4,3,6,7,8,1]=>[2,5,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,4,5],[3],[6],[7]]
[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2]]
[1,7,8,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2]]
[1,6,8,7,5,4,3,2]=>[1,6,7,5,4,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[1,7,6,8,5,4,3,2]=>[1,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2]]
[1,6,7,8,5,4,3,2]=>[1,6,7,5,4,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[1,5,8,7,6,4,3,2]=>[1,5,7,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[1,7,6,5,8,4,3,2]=>[1,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2]]
[1,5,6,7,8,4,3,2]=>[1,5,6,7,4,3,2]=>[[1,2,6,7],[3],[4],[5]]=>[[1,3,4,5],[2],[6],[7]]
[1,4,8,7,6,5,3,2]=>[1,4,7,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[1,4,7,8,6,5,3,2]=>[1,4,7,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[1,3,5,7,8,6,4,2]=>[1,3,5,7,6,4,2]=>[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]
[1,3,6,5,7,8,4,2]=>[1,3,6,5,7,4,2]=>[[1,2,4,7],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7]]
[1,3,5,6,7,8,4,2]=>[1,3,5,6,7,4,2]=>[[1,2,4,6,7],[3],[5]]=>[[1,3,5],[2],[4],[6],[7]]
[1,4,3,8,7,6,5,2]=>[1,4,3,7,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[1,4,3,7,8,6,5,2]=>[1,4,3,7,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[1,3,4,8,7,6,5,2]=>[1,3,4,7,6,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[1,3,4,5,7,8,6,2]=>[1,3,4,5,7,6,2]=>[[1,2,4,5,6],[3],[7]]=>[[1,3,7],[2],[4],[5],[6]]
[1,6,5,4,3,8,7,2]=>[1,6,5,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[1,5,6,4,3,8,7,2]=>[1,5,6,4,3,7,2]=>[[1,2,6,7],[3],[4],[5]]=>[[1,3,4,5],[2],[6],[7]]
[1,4,3,6,5,8,7,2]=>[1,4,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[1,3,4,5,6,8,7,2]=>[1,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3]]=>[[1,3],[2],[4],[5],[6],[7]]
[1,5,4,3,6,7,8,2]=>[1,5,4,3,6,7,2]=>[[1,2,6,7],[3],[4],[5]]=>[[1,3,4,5],[2],[6],[7]]
[1,4,5,3,6,7,8,2]=>[1,4,5,3,6,7,2]=>[[1,2,5,6,7],[3],[4]]=>[[1,3,4],[2],[5],[6],[7]]
[1,4,3,5,6,7,8,2]=>[1,4,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4]]=>[[1,3,4],[2],[5],[6],[7]]
[1,3,4,5,6,7,8,2]=>[1,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3]]=>[[1,3],[2],[4],[5],[6],[7]]
[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,2,5,6,7],[3,4]]
[2,1,6,7,8,5,4,3]=>[2,1,6,7,5,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[2,1,6,5,8,7,4,3]=>[2,1,6,5,7,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[2,1,7,6,5,8,4,3]=>[2,1,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,2,5,6,7],[3,4]]
[2,1,6,7,5,8,4,3]=>[2,1,6,7,5,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[2,1,6,5,7,8,4,3]=>[2,1,6,5,7,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[2,1,5,6,7,8,4,3]=>[2,1,5,6,7,4,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[2,1,4,8,7,6,5,3]=>[2,1,4,7,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[2,1,4,5,8,7,6,3]=>[2,1,4,5,7,6,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[2,1,4,5,7,8,6,3]=>[2,1,4,5,7,6,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[2,1,4,6,5,8,7,3]=>[2,1,4,6,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,1,6,5,7,4,8,3]=>[2,1,6,5,7,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[2,1,5,4,7,6,8,3]=>[2,1,5,4,7,6,3]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[2,1,4,5,6,7,8,3]=>[2,1,4,5,6,7,3]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[1,2,6,7,8,5,4,3]=>[1,2,6,7,5,4,3]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[1,2,5,6,7,8,4,3]=>[1,2,5,6,7,4,3]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[1,2,4,8,7,6,5,3]=>[1,2,4,7,6,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[1,2,4,6,7,8,5,3]=>[1,2,4,6,7,5,3]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[1,2,6,5,4,7,8,3]=>[1,2,6,5,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[1,2,5,6,4,7,8,3]=>[1,2,5,6,4,7,3]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[1,2,5,4,6,7,8,3]=>[1,2,5,4,6,7,3]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[1,2,4,5,6,7,8,3]=>[1,2,4,5,6,7,3]=>[[1,2,3,5,6,7],[4]]=>[[1,4],[2],[3],[5],[6],[7]]
[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[3,2,1,7,8,6,5,4]=>[3,2,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[3,2,1,6,8,7,5,4]=>[3,2,1,6,7,5,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[3,2,1,7,6,8,5,4]=>[3,2,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[3,2,1,6,7,8,5,4]=>[3,2,1,6,7,5,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[3,2,1,5,8,7,6,4]=>[3,2,1,5,7,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,2,1,5,7,8,6,4]=>[3,2,1,5,7,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,2,1,6,5,8,7,4]=>[3,2,1,6,5,7,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[3,2,1,5,6,8,7,4]=>[3,2,1,5,6,7,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,2,1,7,6,5,8,4]=>[3,2,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[3,2,1,6,7,5,8,4]=>[3,2,1,6,7,5,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[3,2,1,5,7,6,8,4]=>[3,2,1,5,7,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,2,1,6,5,7,8,4]=>[3,2,1,6,5,7,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[3,2,1,5,6,7,8,4]=>[3,2,1,5,6,7,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[2,3,1,8,7,6,5,4]=>[2,3,1,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[1,3,2,8,7,6,5,4]=>[1,3,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[2,1,3,8,7,6,5,4]=>[2,1,3,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[1,2,3,8,7,6,5,4]=>[1,2,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[1,2,3,7,8,6,5,4]=>[1,2,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[1,2,3,6,8,7,5,4]=>[1,2,3,6,7,5,4]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[1,2,3,7,6,8,5,4]=>[1,2,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[1,2,3,6,7,8,5,4]=>[1,2,3,6,7,5,4]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[1,2,3,5,8,7,6,4]=>[1,2,3,5,7,6,4]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[1,2,3,5,7,8,6,4]=>[1,2,3,5,7,6,4]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[1,2,3,6,5,8,7,4]=>[1,2,3,6,5,7,4]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[1,2,3,5,6,8,7,4]=>[1,2,3,5,6,7,4]=>[[1,2,3,4,6,7],[5]]=>[[1,5],[2],[3],[4],[6],[7]]
[1,2,3,7,6,5,8,4]=>[1,2,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[1,2,3,6,7,5,8,4]=>[1,2,3,6,7,5,4]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[1,2,3,5,7,6,8,4]=>[1,2,3,5,7,6,4]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[1,2,3,6,5,7,8,4]=>[1,2,3,6,5,7,4]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[1,2,3,5,6,7,8,4]=>[1,2,3,5,6,7,4]=>[[1,2,3,4,6,7],[5]]=>[[1,5],[2],[3],[4],[6],[7]]
[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[4,3,2,1,7,8,6,5]=>[4,3,2,1,7,6,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[4,3,2,1,6,8,7,5]=>[4,3,2,1,6,7,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,3,2,1,7,6,8,5]=>[4,3,2,1,7,6,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[4,3,2,1,6,7,8,5]=>[4,3,2,1,6,7,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[3,4,2,1,8,7,6,5]=>[3,4,2,1,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,4,2,1,7,8,6,5]=>[3,4,2,1,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,4,2,1,6,8,7,5]=>[3,4,2,1,6,7,5]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[3,4,2,1,7,6,8,5]=>[3,4,2,1,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,4,2,1,6,7,8,5]=>[3,4,2,1,6,7,5]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[2,4,3,1,8,7,6,5]=>[2,4,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[2,4,3,1,7,8,6,5]=>[2,4,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[2,4,3,1,6,8,7,5]=>[2,4,3,1,6,7,5]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,3,1,7,6,8,5]=>[2,4,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[2,4,3,1,6,7,8,5]=>[2,4,3,1,6,7,5]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[3,2,4,1,8,7,6,5]=>[3,2,4,1,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,2,4,1,7,8,6,5]=>[3,2,4,1,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,2,4,1,6,8,7,5]=>[3,2,4,1,6,7,5]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[3,2,4,1,7,6,8,5]=>[3,2,4,1,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,2,4,1,6,7,8,5]=>[3,2,4,1,6,7,5]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[2,3,4,1,8,7,6,5]=>[2,3,4,1,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,3,4,1,7,8,6,5]=>[2,3,4,1,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,3,4,1,6,8,7,5]=>[2,3,4,1,6,7,5]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[2,3,4,1,7,6,8,5]=>[2,3,4,1,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,3,4,1,6,7,8,5]=>[2,3,4,1,6,7,5]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[1,4,3,2,8,7,6,5]=>[1,4,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[1,4,3,2,7,6,8,5]=>[1,4,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[1,4,3,2,6,7,8,5]=>[1,4,3,2,6,7,5]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[1,3,4,2,8,7,6,5]=>[1,3,4,2,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[1,3,4,2,7,6,8,5]=>[1,3,4,2,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[1,3,4,2,6,7,8,5]=>[1,3,4,2,6,7,5]=>[[1,2,4,5,7],[3,6]]=>[[1,3],[2,6],[4],[5],[7]]
[2,1,4,3,8,7,6,5]=>[2,1,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[2,1,4,3,7,8,6,5]=>[2,1,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[2,1,4,3,6,8,7,5]=>[2,1,4,3,6,7,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,1,4,3,7,6,8,5]=>[2,1,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[2,1,4,3,6,7,8,5]=>[2,1,4,3,6,7,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[1,2,4,3,8,7,6,5]=>[1,2,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[1,2,4,3,7,6,8,5]=>[1,2,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[1,2,4,3,6,7,8,5]=>[1,2,4,3,6,7,5]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[3,2,1,4,8,7,6,5]=>[3,2,1,4,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,2,1,4,7,8,6,5]=>[3,2,1,4,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,2,1,4,7,6,8,5]=>[3,2,1,4,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,2,1,4,6,7,8,5]=>[3,2,1,4,6,7,5]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[2,3,1,4,8,7,6,5]=>[2,3,1,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,3,1,4,7,6,8,5]=>[2,3,1,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,3,1,4,6,7,8,5]=>[2,3,1,4,6,7,5]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[1,3,2,4,8,7,6,5]=>[1,3,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[1,3,2,4,7,6,8,5]=>[1,3,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[1,3,2,4,6,7,8,5]=>[1,3,2,4,6,7,5]=>[[1,2,4,5,7],[3,6]]=>[[1,3],[2,6],[4],[5],[7]]
[2,1,3,4,8,7,6,5]=>[2,1,3,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,1,3,4,7,8,6,5]=>[2,1,3,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,1,3,4,7,6,8,5]=>[2,1,3,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,1,3,4,6,7,8,5]=>[2,1,3,4,6,7,5]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[1,2,3,4,8,7,6,5]=>[1,2,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[1,2,3,4,7,8,6,5]=>[1,2,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[1,2,3,4,7,6,8,5]=>[1,2,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[1,2,3,4,6,7,8,5]=>[1,2,3,4,6,7,5]=>[[1,2,3,4,5,7],[6]]=>[[1,6],[2],[3],[4],[5],[7]]
[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,7,6]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[5,4,3,2,1,7,8,6]=>[5,4,3,2,1,7,6]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[4,5,3,2,1,8,7,6]=>[4,5,3,2,1,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[3,5,4,2,1,8,7,6]=>[3,5,4,2,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[4,3,5,2,1,8,7,6]=>[4,3,5,2,1,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[3,4,5,2,1,8,7,6]=>[3,4,5,2,1,7,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[2,5,4,3,1,8,7,6]=>[2,5,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[2,4,5,3,1,8,7,6]=>[2,4,5,3,1,7,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[3,2,5,4,1,8,7,6]=>[3,2,5,4,1,7,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[2,3,5,4,1,8,7,6]=>[2,3,5,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[4,3,2,5,1,8,7,6]=>[4,3,2,5,1,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[3,4,2,5,1,8,7,6]=>[3,4,2,5,1,7,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[2,4,3,5,1,8,7,6]=>[2,4,3,5,1,7,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[3,2,4,5,1,8,7,6]=>[3,2,4,5,1,7,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[2,3,4,5,1,8,7,6]=>[2,3,4,5,1,7,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[4,3,2,1,5,8,7,6]=>[4,3,2,1,5,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,3,2,1,5,7,8,6]=>[4,3,2,1,5,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[3,2,4,1,5,8,7,6]=>[3,2,4,1,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,2,4,1,5,7,8,6]=>[3,2,4,1,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[2,3,4,1,5,8,7,6]=>[2,3,4,1,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,3,4,1,5,7,8,6]=>[2,3,4,1,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[2,3,1,4,5,7,8,6]=>[2,3,1,4,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,7,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7]]
[5,6,4,3,2,1,8,7]=>[5,6,4,3,2,1,7]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[4,5,6,3,2,1,8,7]=>[4,5,6,3,2,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[3,6,5,4,2,1,8,7]=>[3,6,5,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4],[7]]
[4,3,6,5,2,1,8,7]=>[4,3,6,5,2,1,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[5,4,3,6,2,1,8,7]=>[5,4,3,6,2,1,7]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[4,5,3,6,2,1,8,7]=>[4,5,3,6,2,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[4,3,5,6,2,1,8,7]=>[4,3,5,6,2,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[2,3,6,5,4,1,8,7]=>[2,3,6,5,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]
[2,4,3,6,5,1,8,7]=>[2,4,3,6,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[5,4,3,2,6,1,8,7]=>[5,4,3,2,6,1,7]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[4,5,3,2,6,1,8,7]=>[4,5,3,2,6,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[4,3,5,2,6,1,8,7]=>[4,3,5,2,6,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[3,2,5,4,6,1,8,7]=>[3,2,5,4,6,1,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[4,3,2,5,6,1,8,7]=>[4,3,2,5,6,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[2,3,4,5,6,1,8,7]=>[2,3,4,5,6,1,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[1,5,6,4,3,2,8,7]=>[1,5,6,4,3,2,7]=>[[1,2,6,7],[3],[4],[5]]=>[[1,3,4,5],[2],[6],[7]]
[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[2,1,5,6,4,3,8,7]=>[2,1,5,6,4,3,7]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[2,1,4,6,5,3,8,7]=>[2,1,4,6,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,1,5,4,6,3,8,7]=>[2,1,5,4,6,3,7]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[2,1,4,5,6,3,8,7]=>[2,1,4,5,6,3,7]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[3,4,2,1,6,5,8,7]=>[3,4,2,1,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[2,4,3,1,6,5,8,7]=>[2,4,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[3,2,4,1,6,5,8,7]=>[3,2,4,1,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[2,3,4,1,6,5,8,7]=>[2,3,4,1,6,5,7]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[5,4,3,2,1,6,8,7]=>[5,4,3,2,1,6,7]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[2,1,5,4,3,6,8,7]=>[2,1,5,4,3,6,7]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[4,3,2,1,5,6,8,7]=>[4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[3,2,4,1,5,6,8,7]=>[3,2,4,1,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]
[2,3,4,1,5,6,8,7]=>[2,3,4,1,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7]]=>[[1],[2],[3],[4],[5],[6],[7]]
[5,7,6,4,3,2,1,8]=>[5,7,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6]]
[4,7,6,5,3,2,1,8]=>[4,7,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>[[1,2,3,4,6,7],[5]]
[3,4,7,6,5,2,1,8]=>[3,4,7,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[[1,2,3,6,7],[4],[5]]
[3,2,7,6,5,4,1,8]=>[3,2,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[[1,2,3,6,7],[4,5]]
[3,2,6,7,5,4,1,8]=>[3,2,6,7,5,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[5,4,3,2,7,6,1,8]=>[5,4,3,2,7,6,1]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[4,5,3,2,7,6,1,8]=>[4,5,3,2,7,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[3,5,4,2,7,6,1,8]=>[3,5,4,2,7,6,1]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[3,2,5,4,7,6,1,8]=>[3,2,5,4,7,6,1]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[2,3,4,5,7,6,1,8]=>[2,3,4,5,7,6,1]=>[[1,3,4,5,6],[2],[7]]=>[[1,2,7],[3],[4],[5],[6]]
[3,5,4,2,6,7,1,8]=>[3,5,4,2,6,7,1]=>[[1,4,6,7],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7]]
[1,3,4,6,7,5,2,8]=>[1,3,4,6,7,5,2]=>[[1,2,4,5,7],[3],[6]]=>[[1,3,6],[2],[4],[5],[7]]
[1,3,4,5,7,6,2,8]=>[1,3,4,5,7,6,2]=>[[1,2,4,5,6],[3],[7]]=>[[1,3,7],[2],[4],[5],[6]]
[2,1,6,7,5,4,3,8]=>[2,1,6,7,5,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[2,3,1,5,6,7,4,8]=>[2,3,1,5,6,7,4]=>[[1,3,4,6,7],[2,5]]=>[[1,2],[3,5],[4],[6],[7]]
[4,3,2,1,7,6,5,8]=>[4,3,2,1,7,6,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[4,3,2,1,6,7,5,8]=>[4,3,2,1,6,7,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[3,2,4,1,7,6,5,8]=>[3,2,4,1,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,2,4,1,6,7,5,8]=>[3,2,4,1,6,7,5]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[2,3,4,1,7,6,5,8]=>[2,3,4,1,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,3,4,1,6,7,5,8]=>[2,3,4,1,6,7,5]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[1,3,4,2,6,7,5,8]=>[1,3,4,2,6,7,5]=>[[1,2,4,5,7],[3,6]]=>[[1,3],[2,6],[4],[5],[7]]
[3,2,1,4,7,6,5,8]=>[3,2,1,4,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[5,4,3,2,1,7,6,8]=>[5,4,3,2,1,7,6]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[3,2,1,5,4,7,6,8]=>[3,2,1,5,4,7,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[2,3,1,5,4,7,6,8]=>[2,3,1,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[4,3,2,1,5,7,6,8]=>[4,3,2,1,5,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[3,2,4,1,5,7,6,8]=>[3,2,4,1,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[2,3,4,1,5,7,6,8]=>[2,3,4,1,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6]=>[[1,2,4,5,6],[3,7]]=>[[1,3],[2,7],[4],[5],[6]]
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[2,3,4,6,5,1,7,8]=>[2,3,4,6,5,1,7]=>[[1,3,4,5,7],[2],[6]]=>[[1,2,6],[3],[4],[5],[7]]
[1,2,4,6,5,3,7,8]=>[1,2,4,6,5,3,7]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[4,3,2,1,6,5,7,8]=>[4,3,2,1,6,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[3,2,4,1,6,5,7,8]=>[3,2,4,1,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[2,3,4,1,6,5,7,8]=>[2,3,4,1,6,5,7]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[3,2,5,4,1,6,7,8]=>[3,2,5,4,1,6,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7]=>[[1,2,4,6,7],[3,5]]=>[[1,3],[2,5],[4],[6],[7]]
[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7]=>[[1,2,3,4,6,7],[5]]=>[[1,5],[2],[3],[4],[6],[7]]
[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[[1,3],[2],[4],[5],[6],[7]]
[1,2,3,4,8,6,7,5]=>[1,2,3,4,6,7,5]=>[[1,2,3,4,5,7],[6]]=>[[1,6],[2],[3],[4],[5],[7]]
[1,2,3,5,8,6,7,4]=>[1,2,3,5,6,7,4]=>[[1,2,3,4,6,7],[5]]=>[[1,5],[2],[3],[4],[6],[7]]
[1,2,3,7,5,6,8,4]=>[1,2,3,7,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[1,2,3,8,5,6,7,4]=>[1,2,3,5,6,7,4]=>[[1,2,3,4,6,7],[5]]=>[[1,5],[2],[3],[4],[6],[7]]
[1,2,3,8,5,7,6,4]=>[1,2,3,5,7,6,4]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[1,2,3,8,6,5,7,4]=>[1,2,3,6,5,7,4]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[1,2,3,8,6,7,5,4]=>[1,2,3,6,7,5,4]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[1,2,4,5,8,6,7,3]=>[1,2,4,5,6,7,3]=>[[1,2,3,5,6,7],[4]]=>[[1,4],[2],[3],[5],[6],[7]]
[1,2,4,8,6,5,7,3]=>[1,2,4,6,5,7,3]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[1,2,6,4,5,7,8,3]=>[1,2,6,4,5,7,3]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[1,2,8,5,4,6,7,3]=>[1,2,5,4,6,7,3]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[1,3,2,8,6,5,7,4]=>[1,3,2,6,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[1,3,7,4,5,6,2,8]=>[1,3,7,4,5,6,2]=>[[1,2,4,5,6],[3],[7]]=>[[1,3,7],[2],[4],[5],[6]]
[1,3,8,5,4,6,7,2]=>[1,3,5,4,6,7,2]=>[[1,2,4,6,7],[3],[5]]=>[[1,3,5],[2],[4],[6],[7]]
[1,3,8,5,6,7,4,2]=>[1,3,5,6,7,4,2]=>[[1,2,4,6,7],[3],[5]]=>[[1,3,5],[2],[4],[6],[7]]
[1,3,8,6,5,7,4,2]=>[1,3,6,5,7,4,2]=>[[1,2,4,7],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7]]
[1,5,3,4,6,7,8,2]=>[1,5,3,4,6,7,2]=>[[1,2,4,6,7],[3],[5]]=>[[1,3,5],[2],[4],[6],[7]]
[1,6,3,5,4,8,7,2]=>[1,6,3,5,4,7,2]=>[[1,2,4,7],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7]]
[1,8,4,3,5,6,7,2]=>[1,4,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4]]=>[[1,3,4],[2],[5],[6],[7]]
[1,8,4,7,6,5,3,2]=>[1,4,7,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[1,7,5,4,3,6,8,2]=>[1,7,5,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[1,8,5,4,3,6,7,2]=>[1,5,4,3,6,7,2]=>[[1,2,6,7],[3],[4],[5]]=>[[1,3,4,5],[2],[6],[7]]
[1,8,5,4,7,6,3,2]=>[1,5,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[1,8,7,4,5,6,3,2]=>[1,7,4,5,6,3,2]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[1,8,7,4,6,5,3,2]=>[1,7,4,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[1,8,6,5,4,7,3,2]=>[1,6,5,4,7,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[1,8,7,5,4,6,3,2]=>[1,7,5,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[1,8,7,5,6,4,3,2]=>[1,7,5,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[2,1,3,8,5,7,6,4]=>[2,1,3,5,7,6,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[2,1,4,3,8,6,7,5]=>[2,1,4,3,6,7,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,1,4,5,8,6,7,3]=>[2,1,4,5,6,7,3]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[2,1,6,4,5,3,8,7]=>[2,1,6,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,1,7,4,6,5,8,3]=>[2,1,7,4,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[2,1,8,5,4,7,6,3]=>[2,1,5,4,7,6,3]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[2,1,8,7,5,6,4,3]=>[2,1,7,5,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[2,3,1,8,6,7,5,4]=>[2,3,1,6,7,5,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[2,3,4,1,8,6,7,5]=>[2,3,4,1,6,7,5]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[2,3,4,8,5,6,7,1]=>[2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[2,3,4,8,5,7,6,1]=>[2,3,4,5,7,6,1]=>[[1,3,4,5,6],[2],[7]]=>[[1,2,7],[3],[4],[5],[6]]
[2,3,4,8,6,5,7,1]=>[2,3,4,6,5,7,1]=>[[1,3,4,5,7],[2],[6]]=>[[1,2,6],[3],[4],[5],[7]]
[2,3,4,8,6,7,5,1]=>[2,3,4,6,7,5,1]=>[[1,3,4,5,7],[2],[6]]=>[[1,2,6],[3],[4],[5],[7]]
[2,3,6,4,5,1,8,7]=>[2,3,6,4,5,1,7]=>[[1,3,4,5,7],[2],[6]]=>[[1,2,6],[3],[4],[5],[7]]
[2,3,7,4,5,6,8,1]=>[2,3,7,4,5,6,1]=>[[1,3,4,5,6],[2],[7]]=>[[1,2,7],[3],[4],[5],[6]]
[2,5,3,4,1,8,7,6]=>[2,5,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[2,5,3,4,8,6,7,1]=>[2,5,3,4,6,7,1]=>[[1,3,4,6,7],[2],[5]]=>[[1,2,5],[3],[4],[6],[7]]
[2,8,3,4,5,6,7,1]=>[2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[2,8,3,5,4,7,6,1]=>[2,3,5,4,7,6,1]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[2,8,3,5,7,6,4,1]=>[2,3,5,7,6,4,1]=>[[1,3,4,6],[2],[5],[7]]=>[[1,2,5,7],[3],[4],[6]]
[2,5,4,3,8,6,7,1]=>[2,5,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,4,5],[3],[6],[7]]
[2,8,4,3,5,7,6,1]=>[2,4,3,5,7,6,1]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[3,2,1,5,8,6,7,4]=>[3,2,1,5,6,7,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,2,1,7,5,6,4,8]=>[3,2,1,7,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,2,1,7,5,6,8,4]=>[3,2,1,7,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,2,1,8,5,6,7,4]=>[3,2,1,5,6,7,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,2,1,8,5,7,6,4]=>[3,2,1,5,7,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,2,1,8,6,5,7,4]=>[3,2,1,6,5,7,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[3,2,1,8,6,7,5,4]=>[3,2,1,6,7,5,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[3,2,4,1,8,6,7,5]=>[3,2,4,1,6,7,5]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[3,2,7,4,6,5,8,1]=>[3,2,7,4,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[3,2,7,5,4,6,1,8]=>[3,2,7,5,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[4,2,3,1,6,5,8,7]=>[4,2,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[4,2,3,1,6,7,8,5]=>[4,2,3,1,6,7,5]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[4,2,3,1,7,6,8,5]=>[4,2,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[4,2,3,1,8,6,7,5]=>[4,2,3,1,6,7,5]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[4,2,3,1,8,7,6,5]=>[4,2,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[4,2,3,5,1,8,7,6]=>[4,2,3,5,1,7,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[4,2,3,7,5,6,8,1]=>[4,2,3,7,5,6,1]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[4,2,3,8,7,6,5,1]=>[4,2,3,7,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[5,2,3,4,1,8,7,6]=>[5,2,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[7,2,3,4,6,5,1,8]=>[7,2,3,4,6,5,1]=>[[1,3,4,5],[2],[6],[7]]=>[[1,2,6,7],[3],[4],[5]]
[6,2,3,5,4,1,7,8]=>[6,2,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]
[7,2,3,6,5,4,1,8]=>[7,2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4]]
[5,2,4,3,1,6,7,8]=>[5,2,4,3,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,4,5],[3],[6],[7]]
[5,2,4,3,1,7,6,8]=>[5,2,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[5,2,4,3,1,8,7,6]=>[5,2,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[5,2,4,3,6,1,7,8]=>[5,2,4,3,6,1,7]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,4,5],[3],[6],[7]]
[5,2,4,3,6,1,8,7]=>[5,2,4,3,6,1,7]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,4,5],[3],[6],[7]]
[5,2,4,3,7,6,8,1]=>[5,2,4,3,7,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[7,2,4,3,6,5,8,1]=>[7,2,4,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[8,2,7,4,6,5,3,1]=>[2,7,4,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>[[1,2,4,6,7],[3],[5]]
[4,3,2,1,8,6,7,5]=>[4,3,2,1,6,7,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,3,2,7,5,6,8,1]=>[4,3,2,7,5,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,3,2,8,5,7,6,1]=>[4,3,2,5,7,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[5,3,2,4,1,6,8,7]=>[5,3,2,4,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7]]
[5,3,2,4,1,8,7,6]=>[5,3,2,4,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[6,3,2,5,4,1,8,7]=>[6,3,2,5,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[8,3,2,5,4,7,6,1]=>[3,2,5,4,7,6,1]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[8,3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[[1,2,3,6,7],[4,5]]
[5,3,4,2,1,7,8,6]=>[5,3,4,2,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[5,3,4,2,1,8,7,6]=>[5,3,4,2,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[8,3,7,4,6,5,2,1]=>[3,7,4,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[[1,2,3,6,7],[4],[5]]
[7,3,6,5,4,2,1,8]=>[7,3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[[1,2,3,5,6,7],[4]]
[5,4,3,2,8,6,7,1]=>[5,4,3,2,6,7,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[7,4,3,6,5,2,1,8]=>[7,4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]=>[[1,2,3,4,7],[5,6]]
[6,5,3,4,2,1,8,7]=>[6,5,3,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4],[7]]
[7,6,3,5,4,2,1,8]=>[7,6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[[1,2,3,5,6,7],[4]]
[8,7,3,5,4,6,2,1]=>[7,3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>[[1,2,3,5,7],[4],[6]]
[8,7,3,6,5,4,2,1]=>[7,3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>[[1,2,3,5,6,7],[4]]
[8,5,4,3,2,7,6,1]=>[5,4,3,2,7,6,1]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[8,7,4,3,6,5,2,1]=>[7,4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]=>[[1,2,3,4,7],[5,6]]
[2,4,1,3,6,5,8,7]=>[2,4,1,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,1,4,6,3,5,8,7]=>[2,1,4,6,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,1,6,3,5,8,7]=>[2,4,1,6,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,6,1,3,5,8,7]=>[2,4,6,1,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,1,4,3,6,8,5,7]=>[2,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,1,3,6,8,5,7]=>[2,4,1,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,1,4,6,3,8,5,7]=>[2,1,4,6,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,1,6,3,8,5,7]=>[2,4,1,6,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,6,1,3,8,5,7]=>[2,4,6,1,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,1,4,6,8,3,5,7]=>[2,1,4,6,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,1,6,8,3,5,7]=>[2,4,1,6,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,6,1,8,3,5,7]=>[2,4,6,1,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,6,8,1,3,5,7]=>[2,4,6,1,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,1,6,3,7,5,8]=>[2,4,1,6,3,7,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,1,3,6,7,8,5]=>[2,4,1,3,6,7,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,1,6,3,7,8,5]=>[2,4,1,6,3,7,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,1,6,7,3,8,5]=>[2,4,1,6,7,3,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,6,1,7,3,8,5]=>[2,4,6,1,7,3,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,1,6,7,8,3,5]=>[2,4,1,6,7,3,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,6,7,1,8,3,5]=>[2,4,6,7,1,3,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,1,4,3,7,5,8,6]=>[2,1,4,3,7,5,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[2,4,1,3,7,5,8,6]=>[2,4,1,3,7,5,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[2,4,7,1,3,5,8,6]=>[2,4,7,1,3,5,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[2,1,4,3,7,8,5,6]=>[2,1,4,3,7,5,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[2,4,1,3,7,8,5,6]=>[2,4,1,3,7,5,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[2,4,7,1,3,8,5,6]=>[2,4,7,1,3,5,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[2,4,7,8,1,3,5,6]=>[2,4,7,1,3,5,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[2,4,1,5,3,7,6,8]=>[2,4,1,5,3,7,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[2,1,4,5,7,3,8,6]=>[2,1,4,5,7,3,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[2,4,5,7,1,3,8,6]=>[2,4,5,7,1,3,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[2,1,4,3,8,5,6,7]=>[2,1,4,3,5,6,7]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[2,4,1,3,8,5,6,7]=>[2,4,1,3,5,6,7]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[2,4,1,5,3,8,6,7]=>[2,4,1,5,3,6,7]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[2,1,4,5,8,3,6,7]=>[2,1,4,5,3,6,7]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[2,4,5,1,8,3,6,7]=>[2,4,5,1,3,6,7]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[2,4,1,5,3,6,8,7]=>[2,4,1,5,3,6,7]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[2,4,1,5,6,3,8,7]=>[2,4,1,5,6,3,7]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[2,4,1,5,3,6,7,8]=>[2,4,1,5,3,6,7]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[2,4,1,5,6,3,7,8]=>[2,4,1,5,6,3,7]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[2,4,1,5,6,7,8,3]=>[2,4,1,5,6,7,3]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[2,4,5,6,1,7,8,3]=>[2,4,5,6,1,7,3]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[2,4,5,6,7,1,8,3]=>[2,4,5,6,7,1,3]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[2,4,5,6,7,8,1,3]=>[2,4,5,6,7,1,3]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[2,1,5,3,6,4,8,7]=>[2,1,5,3,6,4,7]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[2,1,5,6,3,4,8,7]=>[2,1,5,6,3,4,7]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[2,5,6,8,1,3,4,7]=>[2,5,6,1,3,4,7]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[2,1,5,6,7,8,3,4]=>[2,1,5,6,7,3,4]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[2,5,1,6,7,8,3,4]=>[2,5,1,6,7,3,4]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[2,5,6,1,7,8,3,4]=>[2,5,6,1,7,3,4]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[2,5,6,7,8,1,3,4]=>[2,5,6,7,1,3,4]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[2,1,5,3,7,4,8,6]=>[2,1,5,3,7,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[2,5,1,7,3,4,8,6]=>[2,5,1,7,3,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[2,5,1,3,7,8,4,6]=>[2,5,1,3,7,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[2,1,5,7,3,8,4,6]=>[2,1,5,7,3,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[2,1,5,7,8,3,4,6]=>[2,1,5,7,3,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[2,5,7,1,8,3,4,6]=>[2,5,7,1,3,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[2,5,7,8,1,3,4,6]=>[2,5,7,1,3,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[2,3,5,1,7,4,8,6]=>[2,3,5,1,7,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[2,3,5,1,6,4,7,8]=>[2,3,5,1,6,4,7]=>[[1,3,4,6,7],[2,5]]=>[[1,2],[3,5],[4],[6],[7]]
[2,3,5,1,6,7,8,4]=>[2,3,5,1,6,7,4]=>[[1,3,4,6,7],[2,5]]=>[[1,2],[3,5],[4],[6],[7]]
[2,3,5,6,1,7,8,4]=>[2,3,5,6,1,7,4]=>[[1,3,4,6,7],[2,5]]=>[[1,2],[3,5],[4],[6],[7]]
[2,3,5,6,7,8,1,4]=>[2,3,5,6,7,1,4]=>[[1,3,4,6,7],[2,5]]=>[[1,2],[3,5],[4],[6],[7]]
[2,1,6,3,7,4,8,5]=>[2,1,6,3,7,4,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,6,1,3,7,4,8,5]=>[2,6,1,3,7,4,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,6,7,1,3,4,8,5]=>[2,6,7,1,3,4,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,1,6,3,7,8,4,5]=>[2,1,6,3,7,4,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,6,1,7,3,8,4,5]=>[2,6,1,7,3,4,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,1,6,7,8,3,4,5]=>[2,1,6,7,3,4,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,6,7,8,1,3,4,5]=>[2,6,7,1,3,4,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,1,6,3,7,4,5,8]=>[2,1,6,3,7,4,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,3,1,6,4,7,5,8]=>[2,3,1,6,4,7,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,3,6,1,4,7,5,8]=>[2,3,6,1,4,7,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,1,6,3,4,7,8,5]=>[2,1,6,3,4,7,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,1,3,6,7,8,4,5]=>[2,1,3,6,7,4,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,3,1,6,7,8,4,5]=>[2,3,1,6,7,4,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,3,6,1,7,8,4,5]=>[2,3,6,1,7,4,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,1,6,3,4,8,5,7]=>[2,1,6,3,4,5,7]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[2,3,1,6,4,8,5,7]=>[2,3,1,6,4,5,7]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[2,3,1,6,8,4,5,7]=>[2,3,1,6,4,5,7]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[2,3,6,1,8,4,5,7]=>[2,3,6,1,4,5,7]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[2,1,6,3,4,5,8,7]=>[2,1,6,3,4,5,7]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[2,3,6,1,4,5,8,7]=>[2,3,6,1,4,5,7]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[2,3,4,1,6,8,5,7]=>[2,3,4,1,6,5,7]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[2,6,1,3,4,5,7,8]=>[2,6,1,3,4,5,7]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[2,3,4,6,1,7,5,8]=>[2,3,4,6,1,7,5]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[2,3,4,6,7,8,1,5]=>[2,3,4,6,7,1,5]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[2,1,7,8,3,4,5,6]=>[2,1,7,3,4,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,7,1,8,3,4,5,6]=>[2,7,1,3,4,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,7,8,1,3,4,5,6]=>[2,7,1,3,4,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,3,1,7,4,8,5,6]=>[2,3,1,7,4,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,3,7,1,4,8,5,6]=>[2,3,7,1,4,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,3,7,8,1,4,5,6]=>[2,3,7,1,4,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,3,4,1,7,5,8,6]=>[2,3,4,1,7,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,3,1,4,7,8,5,6]=>[2,3,1,4,7,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,3,4,1,7,8,5,6]=>[2,3,4,1,7,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,3,4,7,1,8,5,6]=>[2,3,4,7,1,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,7,1,3,4,5,6,8]=>[2,7,1,3,4,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,3,4,1,7,5,6,8]=>[2,3,4,1,7,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,3,4,5,7,1,8,6]=>[2,3,4,5,7,1,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,3,4,5,7,8,1,6]=>[2,3,4,5,7,1,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,1,8,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[2,8,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[2,1,3,8,4,5,6,7]=>[2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[2,1,3,4,8,5,6,7]=>[2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[2,3,1,4,8,5,6,7]=>[2,3,1,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[2,3,4,1,8,5,6,7]=>[2,3,4,1,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[2,3,4,8,1,5,6,7]=>[2,3,4,1,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[2,3,4,1,5,8,6,7]=>[2,3,4,1,5,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[2,3,4,5,1,8,6,7]=>[2,3,4,5,1,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[2,3,4,5,8,1,6,7]=>[2,3,4,5,1,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[2,3,4,5,6,8,1,7]=>[2,3,4,5,6,1,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[3,1,4,2,6,5,8,7]=>[3,1,4,2,6,5,7]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[3,4,1,2,6,5,8,7]=>[3,4,1,2,6,5,7]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[3,1,4,2,6,8,5,7]=>[3,1,4,2,6,5,7]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[3,4,1,2,6,8,5,7]=>[3,4,1,2,6,5,7]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[3,1,4,6,8,2,5,7]=>[3,1,4,6,2,5,7]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[3,4,6,8,1,2,5,7]=>[3,4,6,1,2,5,7]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[3,4,6,7,1,2,5,8]=>[3,4,6,7,1,2,5]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[3,1,4,2,6,7,8,5]=>[3,1,4,2,6,7,5]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[3,4,1,2,6,7,8,5]=>[3,4,1,2,6,7,5]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[3,4,6,1,7,2,8,5]=>[3,4,6,1,7,2,5]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[3,4,6,7,1,2,8,5]=>[3,4,6,7,1,2,5]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[3,4,6,1,7,8,2,5]=>[3,4,6,1,7,2,5]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[3,4,6,7,1,8,2,5]=>[3,4,6,7,1,2,5]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[3,1,4,2,7,5,8,6]=>[3,1,4,2,7,5,6]=>[[1,2,5,6],[3,4,7]]=>[[1,3],[2,4],[5,7],[6]]
[3,4,1,2,7,8,5,6]=>[3,4,1,2,7,5,6]=>[[1,2,5,6],[3,4,7]]=>[[1,3],[2,4],[5,7],[6]]
[3,4,7,1,8,2,5,6]=>[3,4,7,1,2,5,6]=>[[1,2,5,6],[3,4,7]]=>[[1,3],[2,4],[5,7],[6]]
[3,4,7,8,1,2,5,6]=>[3,4,7,1,2,5,6]=>[[1,2,5,6],[3,4,7]]=>[[1,3],[2,4],[5,7],[6]]
[3,4,5,7,1,2,8,6]=>[3,4,5,7,1,2,6]=>[[1,2,5,6],[3,4,7]]=>[[1,3],[2,4],[5,7],[6]]
[3,1,4,2,8,5,6,7]=>[3,1,4,2,5,6,7]=>[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]
[3,4,1,2,8,5,6,7]=>[3,4,1,2,5,6,7]=>[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]
[3,4,1,5,8,2,6,7]=>[3,4,1,5,2,6,7]=>[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]
[3,4,5,8,1,2,6,7]=>[3,4,5,1,2,6,7]=>[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]
[3,1,4,2,5,6,7,8]=>[3,1,4,2,5,6,7]=>[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]
[3,1,4,5,6,7,8,2]=>[3,1,4,5,6,7,2]=>[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]
[3,4,1,5,6,7,8,2]=>[3,4,1,5,6,7,2]=>[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]
[3,4,5,6,7,1,8,2]=>[3,4,5,6,7,1,2]=>[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]
[3,1,5,2,6,4,8,7]=>[3,1,5,2,6,4,7]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[3,5,1,6,2,4,8,7]=>[3,5,1,6,2,4,7]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[3,5,6,1,2,4,8,7]=>[3,5,6,1,2,4,7]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[3,5,1,2,6,8,4,7]=>[3,5,1,2,6,4,7]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[3,1,5,6,2,8,4,7]=>[3,1,5,6,2,4,7]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[3,5,6,1,8,2,4,7]=>[3,5,6,1,2,4,7]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[3,5,6,8,1,2,4,7]=>[3,5,6,1,2,4,7]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[3,5,6,1,7,8,2,4]=>[3,5,6,1,7,2,4]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[3,5,6,7,8,1,2,4]=>[3,5,6,7,1,2,4]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[3,1,5,2,7,4,8,6]=>[3,1,5,2,7,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[3,1,5,7,2,4,8,6]=>[3,1,5,7,2,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[3,1,5,7,2,8,4,6]=>[3,1,5,7,2,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[3,5,1,7,2,8,4,6]=>[3,5,1,7,2,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[3,5,1,7,8,2,4,6]=>[3,5,1,7,2,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[3,5,7,8,1,2,4,6]=>[3,5,7,1,2,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[3,1,5,2,7,4,6,8]=>[3,1,5,2,7,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[1,3,5,2,7,4,8,6]=>[1,3,5,2,7,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[3,1,5,2,8,4,6,7]=>[3,1,5,2,4,6,7]=>[[1,2,4,6,7],[3,5]]=>[[1,3],[2,5],[4],[6],[7]]
[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,6,7]=>[[1,2,4,6,7],[3,5]]=>[[1,3],[2,5],[4],[6],[7]]
[1,3,2,5,8,4,6,7]=>[1,3,2,5,4,6,7]=>[[1,2,4,6,7],[3,5]]=>[[1,3],[2,5],[4],[6],[7]]
[1,3,5,8,2,4,6,7]=>[1,3,5,2,4,6,7]=>[[1,2,4,6,7],[3,5]]=>[[1,3],[2,5],[4],[6],[7]]
[1,3,5,2,6,8,4,7]=>[1,3,5,2,6,4,7]=>[[1,2,4,6,7],[3,5]]=>[[1,3],[2,5],[4],[6],[7]]
[1,3,5,2,6,7,4,8]=>[1,3,5,2,6,7,4]=>[[1,2,4,6,7],[3,5]]=>[[1,3],[2,5],[4],[6],[7]]
[1,3,5,6,2,7,4,8]=>[1,3,5,6,2,7,4]=>[[1,2,4,6,7],[3,5]]=>[[1,3],[2,5],[4],[6],[7]]
[1,3,5,6,7,8,2,4]=>[1,3,5,6,7,2,4]=>[[1,2,4,6,7],[3,5]]=>[[1,3],[2,5],[4],[6],[7]]
[3,1,6,2,7,4,8,5]=>[3,1,6,2,7,4,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[3,6,1,7,2,4,8,5]=>[3,6,1,7,2,4,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[3,6,1,7,2,8,4,5]=>[3,6,1,7,2,4,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[3,6,7,1,2,8,4,5]=>[3,6,7,1,2,4,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[3,6,1,7,8,2,4,5]=>[3,6,1,7,2,4,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[3,6,7,8,1,2,4,5]=>[3,6,7,1,2,4,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[3,1,6,2,7,4,5,8]=>[3,1,6,2,7,4,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[3,1,6,7,2,4,5,8]=>[3,1,6,7,2,4,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[3,6,1,2,4,7,5,8]=>[3,6,1,2,4,7,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[1,3,2,6,4,7,5,8]=>[1,3,2,6,4,7,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[1,3,6,2,4,7,8,5]=>[1,3,6,2,4,7,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[3,1,2,6,7,4,8,5]=>[3,1,2,6,7,4,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[1,3,6,2,7,8,4,5]=>[1,3,6,2,7,4,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[3,1,6,2,8,4,5,7]=>[3,1,6,2,4,5,7]=>[[1,2,4,5,7],[3,6]]=>[[1,3],[2,6],[4],[5],[7]]
[3,1,6,8,2,4,5,7]=>[3,1,6,2,4,5,7]=>[[1,2,4,5,7],[3,6]]=>[[1,3],[2,6],[4],[5],[7]]
[1,3,2,6,4,8,5,7]=>[1,3,2,6,4,5,7]=>[[1,2,4,5,7],[3,6]]=>[[1,3],[2,6],[4],[5],[7]]
[3,1,6,2,4,5,8,7]=>[3,1,6,2,4,5,7]=>[[1,2,4,5,7],[3,6]]=>[[1,3],[2,6],[4],[5],[7]]
[3,1,6,2,4,5,7,8]=>[3,1,6,2,4,5,7]=>[[1,2,4,5,7],[3,6]]=>[[1,3],[2,6],[4],[5],[7]]
[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7]=>[[1,2,4,5,7],[3,6]]=>[[1,3],[2,6],[4],[5],[7]]
[3,1,2,4,6,7,8,5]=>[3,1,2,4,6,7,5]=>[[1,2,4,5,7],[3,6]]=>[[1,3],[2,6],[4],[5],[7]]
[1,3,4,6,7,2,8,5]=>[1,3,4,6,7,2,5]=>[[1,2,4,5,7],[3,6]]=>[[1,3],[2,6],[4],[5],[7]]
[3,1,7,8,2,4,5,6]=>[3,1,7,2,4,5,6]=>[[1,2,4,5,6],[3,7]]=>[[1,3],[2,7],[4],[5],[6]]
[1,3,2,7,4,8,5,6]=>[1,3,2,7,4,5,6]=>[[1,2,4,5,6],[3,7]]=>[[1,3],[2,7],[4],[5],[6]]
[1,3,7,2,8,4,5,6]=>[1,3,7,2,4,5,6]=>[[1,2,4,5,6],[3,7]]=>[[1,3],[2,7],[4],[5],[6]]
[3,7,1,2,4,5,6,8]=>[3,7,1,2,4,5,6]=>[[1,2,4,5,6],[3,7]]=>[[1,3],[2,7],[4],[5],[6]]
[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6]=>[[1,2,4,5,6],[3,7]]=>[[1,3],[2,7],[4],[5],[6]]
[1,3,4,5,7,8,2,6]=>[1,3,4,5,7,2,6]=>[[1,2,4,5,6],[3,7]]=>[[1,3],[2,7],[4],[5],[6]]
[3,1,8,2,4,5,6,7]=>[3,1,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[[1,3],[2],[4],[5],[6],[7]]
[1,3,2,8,4,5,6,7]=>[1,3,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[[1,3],[2],[4],[5],[6],[7]]
[3,1,2,4,8,5,6,7]=>[3,1,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[[1,3],[2],[4],[5],[6],[7]]
[1,3,2,4,8,5,6,7]=>[1,3,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[[1,3],[2],[4],[5],[6],[7]]
[1,3,4,2,8,5,6,7]=>[1,3,4,2,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[[1,3],[2],[4],[5],[6],[7]]
[3,1,2,4,5,8,6,7]=>[3,1,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[[1,3],[2],[4],[5],[6],[7]]
[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[[1,3],[2],[4],[5],[6],[7]]
[4,1,5,2,6,3,8,7]=>[4,1,5,2,6,3,7]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[4,5,1,2,6,3,8,7]=>[4,5,1,2,6,3,7]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[4,5,6,1,2,3,8,7]=>[4,5,6,1,2,3,7]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[4,1,5,2,6,8,3,7]=>[4,1,5,2,6,3,7]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[4,5,1,6,2,8,3,7]=>[4,5,1,6,2,3,7]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[4,5,6,1,2,8,3,7]=>[4,5,6,1,2,3,7]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[4,1,5,6,8,2,3,7]=>[4,1,5,6,2,3,7]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[4,5,6,8,1,2,3,7]=>[4,5,6,1,2,3,7]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[4,5,1,6,2,7,3,8]=>[4,5,1,6,2,7,3]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[4,5,6,1,7,2,3,8]=>[4,5,6,1,7,2,3]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[4,1,5,6,7,8,2,3]=>[4,1,5,6,7,2,3]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[4,1,5,2,7,3,8,6]=>[4,1,5,2,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[4,5,1,7,2,3,8,6]=>[4,5,1,7,2,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[4,1,5,2,7,8,3,6]=>[4,1,5,2,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[4,1,5,7,2,8,3,6]=>[4,1,5,7,2,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[4,5,1,7,2,8,3,6]=>[4,5,1,7,2,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[4,5,7,1,2,8,3,6]=>[4,5,7,1,2,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[4,5,1,7,8,2,3,6]=>[4,5,1,7,2,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[4,5,7,8,1,2,3,6]=>[4,5,7,1,2,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[4,5,1,2,7,3,6,8]=>[4,5,1,2,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[1,4,2,5,3,7,6,8]=>[1,4,2,5,3,7,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[4,1,2,5,7,3,6,8]=>[4,1,2,5,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[1,4,2,5,7,3,8,6]=>[1,4,2,5,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[1,4,5,2,7,3,8,6]=>[1,4,5,2,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[1,4,5,7,2,3,8,6]=>[1,4,5,7,2,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[1,4,2,5,7,8,3,6]=>[1,4,2,5,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[4,5,1,2,8,3,6,7]=>[4,5,1,2,3,6,7]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[1,4,2,5,3,8,6,7]=>[1,4,2,5,3,6,7]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[1,4,2,5,8,3,6,7]=>[1,4,2,5,3,6,7]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[4,1,2,5,6,3,8,7]=>[4,1,2,5,6,3,7]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[1,4,5,2,6,3,8,7]=>[1,4,5,2,6,3,7]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[1,4,2,5,3,6,7,8]=>[1,4,2,5,3,6,7]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[1,4,5,2,6,3,7,8]=>[1,4,5,2,6,3,7]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[1,4,2,5,6,7,3,8]=>[1,4,2,5,6,7,3]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[1,4,5,6,2,7,3,8]=>[1,4,5,6,2,7,3]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[1,4,5,6,7,2,3,8]=>[1,4,5,6,7,2,3]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[4,1,2,5,6,7,8,3]=>[4,1,2,5,6,7,3]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[1,4,2,5,6,7,8,3]=>[1,4,2,5,6,7,3]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[1,4,5,2,6,7,8,3]=>[1,4,5,2,6,7,3]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[1,4,5,6,7,8,2,3]=>[1,4,5,6,7,2,3]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[4,1,6,2,7,3,8,5]=>[4,1,6,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[4,6,1,2,7,8,3,5]=>[4,6,1,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[4,6,7,1,8,2,3,5]=>[4,6,7,1,2,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[4,6,7,8,1,2,3,5]=>[4,6,7,1,2,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[4,6,1,7,2,3,5,8]=>[4,6,1,7,2,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[4,6,1,2,3,7,5,8]=>[4,6,1,2,3,7,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[1,4,2,6,3,7,5,8]=>[1,4,2,6,3,7,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[4,1,6,2,3,7,8,5]=>[4,1,6,2,3,7,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[4,1,2,6,7,3,8,5]=>[4,1,2,6,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[1,4,6,2,7,3,8,5]=>[1,4,6,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[1,4,2,6,7,8,3,5]=>[1,4,2,6,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[1,4,6,2,7,8,3,5]=>[1,4,6,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[1,4,6,7,2,8,3,5]=>[1,4,6,7,2,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[4,1,6,2,8,3,5,7]=>[4,1,6,2,3,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[4,6,1,8,2,3,5,7]=>[4,6,1,2,3,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[4,1,2,6,3,8,5,7]=>[4,1,2,6,3,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[1,4,2,6,3,8,5,7]=>[1,4,2,6,3,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[4,1,2,3,6,5,8,7]=>[4,1,2,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[4,1,2,3,6,8,5,7]=>[4,1,2,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[4,6,1,2,3,5,7,8]=>[4,6,1,2,3,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[1,4,2,6,3,5,7,8]=>[1,4,2,6,3,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[4,1,2,3,6,5,7,8]=>[4,1,2,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[4,1,2,3,6,7,5,8]=>[4,1,2,3,6,7,5]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[4,1,2,3,6,7,8,5]=>[4,1,2,3,6,7,5]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[1,4,2,3,6,7,8,5]=>[1,4,2,3,6,7,5]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[1,2,4,6,7,8,3,5]=>[1,2,4,6,7,3,5]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[4,1,7,2,8,3,5,6]=>[4,1,7,2,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[4,7,1,2,8,3,5,6]=>[4,7,1,2,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[4,1,7,8,2,3,5,6]=>[4,1,7,2,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[4,7,1,8,2,3,5,6]=>[4,7,1,2,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[1,4,2,7,3,8,5,6]=>[1,4,2,7,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[4,1,2,7,8,3,5,6]=>[4,1,2,7,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[1,4,2,7,8,3,5,6]=>[1,4,2,7,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[1,4,7,8,2,3,5,6]=>[1,4,7,2,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[4,1,2,3,7,5,8,6]=>[4,1,2,3,7,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[4,1,2,3,7,8,5,6]=>[4,1,2,3,7,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[4,1,7,2,3,5,6,8]=>[4,1,7,2,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[4,7,1,2,3,5,6,8]=>[4,7,1,2,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[1,4,2,7,3,5,6,8]=>[1,4,2,7,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[4,1,2,3,7,5,6,8]=>[4,1,2,3,7,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[4,1,2,3,5,7,6,8]=>[4,1,2,3,5,7,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[4,1,2,3,5,7,8,6]=>[4,1,2,3,5,7,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[1,2,4,5,7,3,8,6]=>[1,2,4,5,7,3,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[4,8,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[[1,4],[2],[3],[5],[6],[7]]
[1,4,2,8,3,5,6,7]=>[1,4,2,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[[1,4],[2],[3],[5],[6],[7]]
[4,1,2,3,8,5,6,7]=>[4,1,2,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[[1,4],[2],[3],[5],[6],[7]]
[1,4,2,3,8,5,6,7]=>[1,4,2,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[[1,4],[2],[3],[5],[6],[7]]
[1,2,4,3,8,5,6,7]=>[1,2,4,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[[1,4],[2],[3],[5],[6],[7]]
[4,1,2,3,5,8,6,7]=>[4,1,2,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[[1,4],[2],[3],[5],[6],[7]]
[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[[1,4],[2],[3],[5],[6],[7]]
[4,1,2,3,5,6,8,7]=>[4,1,2,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[[1,4],[2],[3],[5],[6],[7]]
[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[[1,4],[2],[3],[5],[6],[7]]
[5,1,6,2,7,3,8,4]=>[5,1,6,2,7,3,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[5,6,1,2,7,8,3,4]=>[5,6,1,2,7,3,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[1,5,2,6,3,7,4,8]=>[1,5,2,6,3,7,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[5,6,1,2,3,7,8,4]=>[5,6,1,2,3,7,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[1,5,6,7,8,2,3,4]=>[1,5,6,7,2,3,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[5,6,1,2,8,3,4,7]=>[5,6,1,2,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[5,6,8,1,2,3,4,7]=>[5,6,1,2,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[5,1,6,2,3,8,4,7]=>[5,1,6,2,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[5,6,1,2,3,8,4,7]=>[5,6,1,2,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[1,5,2,6,3,8,4,7]=>[1,5,2,6,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[1,5,6,2,3,8,4,7]=>[1,5,6,2,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[5,1,6,2,3,4,7,8]=>[5,1,6,2,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[1,5,2,6,3,4,7,8]=>[1,5,2,6,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[1,5,2,3,6,4,7,8]=>[1,5,2,3,6,4,7]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[1,2,5,3,6,4,7,8]=>[1,2,5,3,6,4,7]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[1,2,5,6,3,4,7,8]=>[1,2,5,6,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[1,2,5,3,6,7,4,8]=>[1,2,5,3,6,7,4]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[5,1,2,3,6,7,8,4]=>[5,1,2,3,6,7,4]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[1,5,2,3,6,7,8,4]=>[1,5,2,3,6,7,4]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[1,2,5,3,6,7,8,4]=>[1,2,5,3,6,7,4]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[1,2,5,6,3,7,8,4]=>[1,2,5,6,3,7,4]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[1,2,5,6,7,3,8,4]=>[1,2,5,6,7,3,4]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[1,2,5,6,7,8,3,4]=>[1,2,5,6,7,3,4]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[5,1,7,2,8,3,4,6]=>[5,1,7,2,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[5,7,1,2,8,3,4,6]=>[5,7,1,2,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[5,7,8,1,2,3,4,6]=>[5,7,1,2,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[1,5,2,7,3,8,4,6]=>[1,5,2,7,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[1,5,7,2,8,3,4,6]=>[1,5,7,2,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[5,1,2,7,3,4,8,6]=>[5,1,2,7,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[5,7,1,2,3,4,6,8]=>[5,7,1,2,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[1,5,2,7,3,4,6,8]=>[1,5,2,7,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[1,5,2,3,7,4,6,8]=>[1,5,2,3,7,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[5,1,2,8,3,4,6,7]=>[5,1,2,3,4,6,7]=>[[1,2,3,4,6,7],[5]]=>[[1,5],[2],[3],[4],[6],[7]]
[1,5,2,8,3,4,6,7]=>[1,5,2,3,4,6,7]=>[[1,2,3,4,6,7],[5]]=>[[1,5],[2],[3],[4],[6],[7]]
[1,5,8,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[[1,2,3,4,6,7],[5]]=>[[1,5],[2],[3],[4],[6],[7]]
[5,1,2,3,8,4,6,7]=>[5,1,2,3,4,6,7]=>[[1,2,3,4,6,7],[5]]=>[[1,5],[2],[3],[4],[6],[7]]
[1,2,5,3,8,4,6,7]=>[1,2,5,3,4,6,7]=>[[1,2,3,4,6,7],[5]]=>[[1,5],[2],[3],[4],[6],[7]]
[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,6,7]=>[[1,2,3,4,6,7],[5]]=>[[1,5],[2],[3],[4],[6],[7]]
[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,6,7]=>[[1,2,3,4,6,7],[5]]=>[[1,5],[2],[3],[4],[6],[7]]
[5,1,2,3,4,6,8,7]=>[5,1,2,3,4,6,7]=>[[1,2,3,4,6,7],[5]]=>[[1,5],[2],[3],[4],[6],[7]]
[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7]=>[[1,2,3,4,6,7],[5]]=>[[1,5],[2],[3],[4],[6],[7]]
[6,1,7,8,2,3,4,5]=>[6,1,7,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[6,7,1,8,2,3,4,5]=>[6,7,1,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[1,6,2,7,3,8,4,5]=>[1,6,2,7,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[1,6,7,2,8,3,4,5]=>[1,6,7,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[1,6,7,8,2,3,4,5]=>[1,6,7,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[6,7,1,2,3,4,8,5]=>[6,7,1,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[6,1,2,3,7,8,4,5]=>[6,1,2,3,7,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[6,1,7,2,3,4,5,8]=>[6,1,7,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[6,1,2,7,3,4,5,8]=>[6,1,2,7,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[1,6,2,7,3,4,5,8]=>[1,6,2,7,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[1,6,7,2,3,4,5,8]=>[1,6,7,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[1,2,6,3,7,4,5,8]=>[1,2,6,3,7,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[1,6,2,3,4,7,5,8]=>[1,6,2,3,4,7,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[1,2,3,6,4,7,5,8]=>[1,2,3,6,4,7,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[6,1,2,3,4,7,8,5]=>[6,1,2,3,4,7,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[1,2,6,3,4,7,8,5]=>[1,2,6,3,4,7,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[1,2,3,6,4,7,8,5]=>[1,2,3,6,4,7,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[1,2,3,6,7,4,8,5]=>[1,2,3,6,7,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[6,1,8,2,3,4,5,7]=>[6,1,2,3,4,5,7]=>[[1,2,3,4,5,7],[6]]=>[[1,6],[2],[3],[4],[5],[7]]
[6,1,2,8,3,4,5,7]=>[6,1,2,3,4,5,7]=>[[1,2,3,4,5,7],[6]]=>[[1,6],[2],[3],[4],[5],[7]]
[1,6,2,8,3,4,5,7]=>[1,6,2,3,4,5,7]=>[[1,2,3,4,5,7],[6]]=>[[1,6],[2],[3],[4],[5],[7]]
[1,6,8,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[[1,2,3,4,5,7],[6]]=>[[1,6],[2],[3],[4],[5],[7]]
[1,6,2,3,4,8,5,7]=>[1,6,2,3,4,5,7]=>[[1,2,3,4,5,7],[6]]=>[[1,6],[2],[3],[4],[5],[7]]
[1,2,6,3,4,8,5,7]=>[1,2,6,3,4,5,7]=>[[1,2,3,4,5,7],[6]]=>[[1,6],[2],[3],[4],[5],[7]]
[1,2,3,6,4,8,5,7]=>[1,2,3,6,4,5,7]=>[[1,2,3,4,5,7],[6]]=>[[1,6],[2],[3],[4],[5],[7]]
[6,1,2,3,4,5,8,7]=>[6,1,2,3,4,5,7]=>[[1,2,3,4,5,7],[6]]=>[[1,6],[2],[3],[4],[5],[7]]
[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7]=>[[1,2,3,4,5,7],[6]]=>[[1,6],[2],[3],[4],[5],[7]]
[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7]=>[[1,2,3,4,5,7],[6]]=>[[1,6],[2],[3],[4],[5],[7]]
[7,1,8,2,3,4,5,6]=>[7,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[7,1,2,8,3,4,5,6]=>[7,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[1,7,2,8,3,4,5,6]=>[1,7,2,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[1,7,8,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[1,7,2,3,8,4,5,6]=>[1,7,2,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[7,1,2,3,4,8,5,6]=>[7,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[1,7,2,3,4,8,5,6]=>[1,7,2,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[1,2,3,7,4,8,5,6]=>[1,2,3,7,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[7,1,2,3,4,5,8,6]=>[7,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[1,2,3,4,7,8,5,6]=>[1,2,3,4,7,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[1,8,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7]]=>[[1],[2],[3],[4],[5],[6],[7]]
[1,2,3,8,4,5,6,7]=>[1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7]]=>[[1],[2],[3],[4],[5],[6],[7]]
[1,2,3,4,8,5,6,7]=>[1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7]]=>[[1],[2],[3],[4],[5],[6],[7]]
[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7]]=>[[1],[2],[3],[4],[5],[6],[7]]
[5,3,2,6,1,4,8,7]=>[5,3,2,6,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[7,3,2,5,4,8,1,6]=>[7,3,2,5,4,1,6]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[8,4,5,2,3,7,6,1]=>[4,5,2,3,7,6,1]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[7,4,5,2,3,8,1,6]=>[7,4,5,2,3,1,6]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[6,4,5,2,3,1,8,7]=>[6,4,5,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[5,4,6,2,1,3,8,7]=>[5,4,6,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[3,6,1,5,4,2,8,7]=>[3,6,1,5,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[4,6,5,1,3,2,8,7]=>[4,6,5,1,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[5,6,4,3,1,2,8,7]=>[5,6,4,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[7,5,4,3,2,8,1,6]=>[7,5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6]]
[8,6,4,3,7,2,5,1]=>[6,4,3,7,2,5,1]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[7,6,4,3,8,2,1,5]=>[7,6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6],[7]]=>[[1,2,3,4,6,7],[5]]
[6,7,4,3,8,1,2,5]=>[6,7,4,3,1,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[5,7,4,3,1,8,2,6]=>[5,7,4,3,1,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[4,7,5,1,3,8,2,6]=>[4,7,5,1,3,2,6]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[3,7,1,5,4,8,2,6]=>[3,7,1,5,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[2,1,7,5,4,8,3,6]=>[2,1,7,5,4,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[3,8,1,5,4,7,6,2]=>[3,1,5,4,7,6,2]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[4,8,5,1,3,7,6,2]=>[4,5,1,3,7,6,2]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[5,8,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[6,8,4,3,7,1,5,2]=>[6,4,3,7,1,5,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[7,8,4,3,6,5,1,2]=>[7,4,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[6,8,5,7,3,1,4,2]=>[6,5,7,3,1,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[5,8,6,7,1,3,4,2]=>[5,6,7,1,3,4,2]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[4,8,6,1,7,3,5,2]=>[4,6,1,7,3,5,2]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[3,8,1,6,7,4,5,2]=>[3,1,6,7,4,5,2]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[2,1,8,6,7,4,5,3]=>[2,1,6,7,4,5,3]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[2,1,7,6,8,4,3,5]=>[2,1,7,6,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[3,7,1,6,8,4,2,5]=>[3,7,1,6,4,2,5]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[4,7,6,1,8,3,2,5]=>[4,7,6,1,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[5,7,6,8,1,3,2,4]=>[5,7,6,1,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[5,4,7,2,1,8,3,6]=>[5,4,7,2,1,3,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[6,4,7,2,8,1,3,5]=>[6,4,7,2,1,3,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[7,4,6,2,8,3,1,5]=>[7,4,6,2,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[8,4,6,2,7,3,5,1]=>[4,6,2,7,3,5,1]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[8,3,2,6,7,4,5,1]=>[3,2,6,7,4,5,1]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[7,3,2,6,8,4,1,5]=>[7,3,2,6,4,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[6,3,2,7,8,1,4,5]=>[6,3,2,7,1,4,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[5,3,2,7,1,8,4,6]=>[5,3,2,7,1,4,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[4,3,2,1,7,8,5,6]=>[4,3,2,1,7,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[3,4,1,2,8,7,6,5]=>[3,4,1,2,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[5,3,2,8,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[6,3,2,8,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[7,3,2,8,6,5,1,4]=>[7,3,2,6,5,1,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[8,4,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[[1,2,4,6,7],[3,5]]
[7,4,8,2,6,5,1,3]=>[7,4,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6]]
[6,4,8,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[5,4,8,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[4,5,8,1,2,7,6,3]=>[4,5,1,2,7,6,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[3,5,1,8,2,7,6,4]=>[3,5,1,2,7,6,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[2,1,5,8,3,7,6,4]=>[2,1,5,3,7,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[2,1,6,8,7,3,5,4]=>[2,1,6,7,3,5,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[3,6,1,8,7,2,5,4]=>[3,6,1,7,2,5,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[4,6,8,1,7,2,5,3]=>[4,6,1,7,2,5,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[5,6,8,7,1,2,4,3]=>[5,6,7,1,2,4,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[6,5,8,7,2,1,4,3]=>[6,5,7,2,1,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[7,5,8,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[8,5,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]
[5,7,8,6,1,4,2,3]=>[5,7,6,1,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[4,7,8,1,6,5,2,3]=>[4,7,1,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[3,7,1,8,6,5,2,4]=>[3,7,1,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[2,1,7,8,6,5,3,4]=>[2,1,7,6,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[3,8,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4]]
[4,8,7,1,6,5,3,2]=>[4,7,1,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[[1,3,4,6,7],[2,5]]
[5,8,7,6,1,4,3,2]=>[5,7,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]
[6,8,7,5,4,1,3,2]=>[6,7,5,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>[[1,3,4,5,6],[2,7]]
[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,9]=>[[1,3,5,7,9],[2,4,6,8]]=>[[1,2],[3,4],[5,6],[7,8],[9]]
[10,3,2,5,4,7,6,9,8,1]=>[3,2,5,4,7,6,9,8,1]=>[[1,4,6,8],[2,5,7,9],[3]]=>[[1,2,3],[4,5],[6,7],[8,9]]
[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,9]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3,4,5,6,7,8],[9]]
[9,7,6,5,4,3,2,10,1,8]=>[9,7,6,5,4,3,2,1,8]=>[[1,8],[2],[3],[4],[5],[6],[7],[9]]=>[[1,2,3,4,5,6,7,9],[8]]
[6,7,8,9,10,1,2,3,4,5]=>[6,7,8,9,1,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9]]=>[[1,6],[2,7],[3,8],[4,9],[5]]
[10,9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2,3,4,5,6,7,8,9]]
[4,2,5,1,3,6,7,8]=>[4,2,5,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[3,2,6,1,4,5,7,8]=>[3,2,6,1,4,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[6,3,5,1,2,4,7,8]=>[6,3,5,1,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[7,3,5,1,2,4,6,8]=>[7,3,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[6,2,8,1,3,4,5,7]=>[6,2,1,3,4,5,7]=>[[1,3,4,5,7],[2],[6]]=>[[1,2,6],[3],[4],[5],[7]]
[6,5,8,1,2,3,4,7]=>[6,5,1,2,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[7,5,8,1,2,3,4,6]=>[7,5,1,2,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[8,3,5,1,2,4,6,7]=>[3,5,1,2,4,6,7]=>[[1,2,4,6,7],[3,5]]=>[[1,3],[2,5],[4],[6],[7]]
[8,3,7,1,2,4,5,6]=>[3,7,1,2,4,5,6]=>[[1,2,4,5,6],[3,7]]=>[[1,3],[2,7],[4],[5],[6]]
[8,5,7,1,2,3,4,6]=>[5,7,1,2,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[5,2,6,7,1,3,4,8]=>[5,2,6,7,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[5,3,6,7,1,2,4,8]=>[5,3,6,7,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[6,2,5,7,1,3,4,8]=>[6,2,5,7,1,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[6,3,5,7,1,2,4,8]=>[6,3,5,7,1,2,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[4,2,6,8,1,3,5,7]=>[4,2,6,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[4,3,6,8,1,2,5,7]=>[4,3,6,1,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[6,2,4,8,1,3,5,7]=>[6,2,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[6,3,5,8,1,2,4,7]=>[6,3,5,1,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[3,2,7,8,1,4,5,6]=>[3,2,7,1,4,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[7,3,4,8,1,2,5,6]=>[7,3,4,1,2,5,6]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[8,2,4,6,1,3,5,7]=>[2,4,6,1,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[8,3,5,7,1,2,4,6]=>[3,5,7,1,2,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[5,6,2,4,1,3,7,8]=>[5,6,2,4,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[5,7,2,4,1,3,6,8]=>[5,7,2,4,1,3,6]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[4,7,3,6,1,2,5,8]=>[4,7,3,6,1,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[4,8,2,5,1,3,6,7]=>[4,2,5,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[4,8,2,6,1,3,5,7]=>[4,2,6,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[6,8,2,4,1,3,5,7]=>[6,2,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[3,8,2,7,1,4,5,6]=>[3,2,7,1,4,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[4,8,2,7,1,3,5,6]=>[4,2,7,1,3,5,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[4,8,3,7,1,2,5,6]=>[4,3,7,1,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[5,8,2,7,1,3,4,6]=>[5,2,7,1,3,4,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[5,8,3,7,1,2,4,6]=>[5,3,7,1,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[5,8,4,7,1,2,3,6]=>[5,4,7,1,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[6,8,5,7,1,2,3,4]=>[6,5,7,1,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[7,8,2,4,1,3,5,6]=>[7,2,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[7,8,3,5,1,2,4,6]=>[7,3,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[7,8,4,6,1,2,3,5]=>[7,4,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[4,3,2,6,1,5,7,8]=>[4,3,2,6,1,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[5,3,2,6,1,4,7,8]=>[5,3,2,6,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,4,2,6,1,3,7,8]=>[5,4,2,6,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[4,3,2,7,1,5,6,8]=>[4,3,2,7,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[5,3,2,7,1,4,6,8]=>[5,3,2,7,1,4,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[6,5,3,7,1,2,4,8]=>[6,5,3,7,1,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[7,4,2,5,1,3,6,8]=>[7,4,2,5,1,3,6]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[7,4,2,6,1,3,5,8]=>[7,4,2,6,1,3,5]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[4,3,2,8,1,5,6,7]=>[4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[5,3,2,8,1,4,6,7]=>[5,3,2,1,4,6,7]=>[[1,4,6,7],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7]]
[6,4,2,8,1,3,5,7]=>[6,4,2,1,3,5,7]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[6,5,2,8,1,3,4,7]=>[6,5,2,1,3,4,7]=>[[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]
[6,5,3,8,1,2,4,7]=>[6,5,3,1,2,4,7]=>[[1,2,4,7],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7]]
[6,5,4,8,1,2,3,7]=>[6,5,4,1,2,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[7,4,2,8,1,3,5,6]=>[7,4,2,1,3,5,6]=>[[1,3,5,6],[2],[4],[7]]=>[[1,2,4,7],[3],[5],[6]]
[7,4,3,8,1,2,5,6]=>[7,4,3,1,2,5,6]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[8,4,2,5,1,3,6,7]=>[4,2,5,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[8,4,2,6,1,3,5,7]=>[4,2,6,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[8,6,2,4,1,3,5,7]=>[6,2,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[8,4,2,7,1,3,5,6]=>[4,2,7,1,3,5,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[8,5,4,7,1,2,3,6]=>[5,4,7,1,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[8,7,2,4,1,3,5,6]=>[7,2,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[8,7,3,5,1,2,4,6]=>[7,3,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[8,7,2,6,1,3,4,5]=>[7,2,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[8,7,3,6,1,2,4,5]=>[7,3,6,1,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[8,7,4,6,1,2,3,5]=>[7,4,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[5,6,2,4,8,1,3,7]=>[5,6,2,4,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[4,7,3,5,8,1,2,6]=>[4,7,3,5,1,2,6]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[5,7,2,4,8,1,3,6]=>[5,7,2,4,1,3,6]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[4,7,3,6,8,1,2,5]=>[4,7,3,6,1,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[6,7,3,4,8,1,2,5]=>[6,7,3,4,1,2,5]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[4,8,3,5,7,1,2,6]=>[4,3,5,7,1,2,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[5,8,4,6,7,1,2,3]=>[5,4,6,7,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[6,8,2,5,7,1,3,4]=>[6,2,5,7,1,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[7,8,2,4,6,1,3,5]=>[7,2,4,6,1,3,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[4,3,2,6,8,1,5,7]=>[4,3,2,6,1,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[5,4,2,6,8,1,3,7]=>[5,4,2,6,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[6,3,2,5,8,1,4,7]=>[6,3,2,5,1,4,7]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[6,4,3,5,8,1,2,7]=>[6,4,3,5,1,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[6,5,2,4,8,1,3,7]=>[6,5,2,4,1,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[4,3,2,7,8,1,5,6]=>[4,3,2,7,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[5,4,2,7,8,1,3,6]=>[5,4,2,7,1,3,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[8,7,2,4,6,1,3,5]=>[7,2,4,6,1,3,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[8,7,3,4,6,1,2,5]=>[7,3,4,6,1,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[4,3,7,2,6,1,5,8]=>[4,3,7,2,6,1,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[6,3,7,2,5,1,4,8]=>[6,3,7,2,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[6,4,7,2,5,1,3,8]=>[6,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[4,3,8,2,6,1,5,7]=>[4,3,2,6,1,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[6,4,8,2,5,1,3,7]=>[6,4,2,5,1,3,7]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[4,3,8,2,7,1,5,6]=>[4,3,2,7,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[6,4,8,2,7,1,3,5]=>[6,4,2,7,1,3,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[6,5,8,2,7,1,3,4]=>[6,5,2,7,1,3,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[7,5,8,2,4,1,3,6]=>[7,5,2,4,1,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[7,5,8,2,6,1,3,4]=>[7,5,2,6,1,3,4]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[7,5,8,4,6,1,2,3]=>[7,5,4,6,1,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[8,3,7,2,6,1,4,5]=>[3,7,2,6,1,4,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[8,4,7,2,6,1,3,5]=>[4,7,2,6,1,3,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[8,4,7,3,6,1,2,5]=>[4,7,3,6,1,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[8,5,7,2,6,1,3,4]=>[5,7,2,6,1,3,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[8,6,7,2,5,1,3,4]=>[6,7,2,5,1,3,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[5,4,3,2,7,1,6,8]=>[5,4,3,2,7,1,6]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[6,4,3,2,7,1,5,8]=>[6,4,3,2,7,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[6,5,3,2,7,1,4,8]=>[6,5,3,2,7,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>[[1,2,3,5,6],[4,7]]
[7,5,3,2,6,1,4,8]=>[7,5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[5,4,3,2,8,1,6,7]=>[5,4,3,2,1,6,7]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[6,5,3,2,8,1,4,7]=>[6,5,3,2,1,4,7]=>[[1,4,7],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4],[7]]
[7,5,3,2,8,1,4,6]=>[7,5,3,2,1,4,6]=>[[1,4,6],[2],[3],[5],[7]]=>[[1,2,3,5,7],[4],[6]]
[7,6,5,3,8,1,2,4]=>[7,6,5,3,1,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[8,5,3,2,6,1,4,7]=>[5,3,2,6,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[8,5,3,2,7,1,4,6]=>[5,3,2,7,1,4,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[8,6,5,3,7,1,2,4]=>[6,5,3,7,1,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[8,7,4,2,6,1,3,5]=>[7,4,2,6,1,3,5]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[8,7,4,3,6,1,2,5]=>[7,4,3,6,1,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[8,7,5,2,6,1,3,4]=>[7,5,2,6,1,3,4]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[8,7,5,3,6,1,2,4]=>[7,5,3,6,1,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[8,7,6,2,4,1,3,5]=>[7,6,2,4,1,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[4,8,3,7,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[5,8,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[5,8,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[5,8,4,7,3,6,1,2]=>[5,4,7,3,6,1,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[6,8,3,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[6,8,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[6,8,4,7,3,5,1,2]=>[6,4,7,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[6,8,5,7,2,4,1,3]=>[6,5,7,2,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[6,8,5,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[7,8,3,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[7,8,4,6,2,5,1,3]=>[7,4,6,2,5,1,3]=>[[1,3],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6]]
[7,8,4,6,3,5,1,2]=>[7,4,6,3,5,1,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[7,8,5,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[6,4,3,8,2,7,1,5]=>[6,4,3,2,7,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[6,5,3,8,2,7,1,4]=>[6,5,3,2,7,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>[[1,2,3,5,6],[4,7]]
[7,5,3,8,2,6,1,4]=>[7,5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[7,6,4,8,2,5,1,3]=>[7,6,4,2,5,1,3]=>[[1,3],[2,5],[4],[6],[7]]=>[[1,2,4,6,7],[3,5]]
[8,5,3,7,2,6,1,4]=>[5,3,7,2,6,1,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[8,5,4,7,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[8,5,4,7,3,6,1,2]=>[5,4,7,3,6,1,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[8,6,4,7,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[8,7,5,6,2,4,1,3]=>[7,5,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[6,5,4,3,2,8,1,7]=>[6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7]]
[8,5,4,3,2,7,1,6]=>[5,4,3,2,7,1,6]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[8,7,5,4,2,6,1,3]=>[7,5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]
[8,7,6,5,2,4,1,3]=>[7,6,5,2,4,1,3]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,2,5,6,7],[3,4]]
[8,1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[8,1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[5,1,2,3,8,7,4,6]=>[5,1,2,3,7,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[8,1,2,3,6,7,4,5]=>[1,2,3,6,7,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[4,1,2,8,7,3,5,6]=>[4,1,2,7,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[4,1,2,7,6,3,8,5]=>[4,1,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[8,1,2,5,6,3,4,7]=>[1,2,5,6,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[8,1,2,5,7,3,4,6]=>[1,2,5,7,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[8,1,2,7,6,3,4,5]=>[1,2,7,6,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[7,1,2,5,6,3,8,4]=>[7,1,2,5,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[4,1,2,5,8,7,3,6]=>[4,1,2,5,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[8,1,2,5,6,7,3,4]=>[1,2,5,6,7,3,4]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[3,1,7,2,6,4,8,5]=>[3,1,7,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[3,1,8,2,6,7,4,5]=>[3,1,2,6,7,4,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[6,1,4,2,3,8,5,7]=>[6,1,4,2,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[8,1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[8,1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[6,1,5,2,3,8,4,7]=>[6,1,5,2,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[5,1,4,2,8,3,6,7]=>[5,1,4,2,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[5,1,4,2,7,3,8,6]=>[5,1,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[8,1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[7,1,4,2,6,3,8,5]=>[7,1,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[8,1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[7,1,5,2,6,3,8,4]=>[7,1,5,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[5,1,4,2,8,7,3,6]=>[5,1,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[5,1,4,2,6,7,8,3]=>[5,1,4,2,6,7,3]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[3,1,8,6,2,4,5,7]=>[3,1,6,2,4,5,7]=>[[1,2,4,5,7],[3,6]]=>[[1,3],[2,6],[4],[5],[7]]
[3,1,8,6,2,7,4,5]=>[3,1,6,2,7,4,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[8,1,4,5,2,3,6,7]=>[1,4,5,2,3,6,7]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[7,1,4,8,2,3,5,6]=>[7,1,4,2,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>[[1,4,7],[2],[3],[5],[6]]
[7,1,8,5,2,3,4,6]=>[7,1,5,2,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[7,1,8,6,2,3,4,5]=>[7,1,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[8,1,4,5,2,7,3,6]=>[1,4,5,2,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[8,1,6,5,2,7,3,4]=>[1,6,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[6,1,4,5,2,7,8,3]=>[6,1,4,5,2,7,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[3,1,4,8,7,2,5,6]=>[3,1,4,7,2,5,6]=>[[1,2,5,6],[3,4,7]]=>[[1,3],[2,4],[5,7],[6]]
[3,1,7,5,6,2,8,4]=>[3,1,7,5,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[8,1,4,5,7,2,3,6]=>[1,4,5,7,2,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[8,1,4,7,6,2,3,5]=>[1,4,7,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[8,1,7,5,6,2,3,4]=>[1,7,5,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[7,1,4,5,6,2,8,3]=>[7,1,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[3,1,4,5,8,7,2,6]=>[3,1,4,5,7,2,6]=>[[1,2,5,6],[3,4,7]]=>[[1,3],[2,4],[5,7],[6]]
[3,1,4,8,6,7,2,5]=>[3,1,4,6,7,2,5]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[3,1,8,5,6,7,2,4]=>[3,1,5,6,7,2,4]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[8,1,4,5,6,7,2,3]=>[1,4,5,6,7,2,3]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[2,8,1,3,4,7,5,6]=>[2,1,3,4,7,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,4,1,8,6,3,5,7]=>[2,4,1,6,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[7,3,1,2,4,5,8,6]=>[7,3,1,2,4,5,6]=>[[1,2,4,5,6],[3],[7]]=>[[1,3,7],[2],[4],[5],[6]]
[8,3,1,2,4,7,5,6]=>[3,1,2,4,7,5,6]=>[[1,2,4,5,6],[3,7]]=>[[1,3],[2,7],[4],[5],[6]]
[8,3,1,2,6,4,5,7]=>[3,1,2,6,4,5,7]=>[[1,2,4,5,7],[3,6]]=>[[1,3],[2,6],[4],[5],[7]]
[7,6,1,2,3,4,8,5]=>[7,6,1,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[5,8,1,2,3,7,4,6]=>[5,1,2,3,7,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[8,6,1,2,3,7,4,5]=>[6,1,2,3,7,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[5,4,1,2,8,3,6,7]=>[5,4,1,2,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[8,4,1,2,7,3,5,6]=>[4,1,2,7,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[7,4,1,2,6,3,8,5]=>[7,4,1,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[5,8,1,2,7,3,4,6]=>[5,1,2,7,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[8,7,1,2,6,3,4,5]=>[7,1,2,6,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[5,7,1,2,6,3,8,4]=>[5,7,1,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[5,4,1,2,8,7,3,6]=>[5,4,1,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[8,4,1,2,6,7,3,5]=>[4,1,2,6,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[5,8,1,2,6,7,3,4]=>[5,1,2,6,7,3,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[5,4,1,2,6,7,8,3]=>[5,4,1,2,6,7,3]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[4,3,1,6,2,8,5,7]=>[4,3,1,6,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[4,3,1,6,2,7,8,5]=>[4,3,1,6,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[7,3,1,8,2,4,5,6]=>[7,3,1,2,4,5,6]=>[[1,2,4,5,6],[3],[7]]=>[[1,3,7],[2],[4],[5],[6]]
[7,3,1,6,2,4,8,5]=>[7,3,1,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[8,3,1,5,2,7,4,6]=>[3,1,5,2,7,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[8,3,1,6,2,7,4,5]=>[3,1,6,2,7,4,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[6,3,1,5,2,7,8,4]=>[6,3,1,5,2,7,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[7,4,1,5,2,3,8,6]=>[7,4,1,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[8,4,1,6,2,3,5,7]=>[4,1,6,2,3,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[7,4,1,8,2,3,5,6]=>[7,4,1,2,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>[[1,4,7],[2],[3],[5],[6]]
[7,4,1,6,2,3,8,5]=>[7,4,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[8,7,1,5,2,3,4,6]=>[7,1,5,2,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[8,7,1,6,2,3,4,5]=>[7,1,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[6,7,1,5,2,3,8,4]=>[6,7,1,5,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[6,4,1,5,2,8,3,7]=>[6,4,1,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[8,4,1,5,2,7,3,6]=>[4,1,5,2,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[8,4,1,6,2,7,3,5]=>[4,1,6,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[6,8,1,5,2,7,3,4]=>[6,1,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[6,4,1,5,2,7,8,3]=>[6,4,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[4,3,1,8,7,2,5,6]=>[4,3,1,7,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[4,3,1,7,6,2,8,5]=>[4,3,1,7,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[8,3,1,5,6,2,4,7]=>[3,1,5,6,2,4,7]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[8,3,1,5,7,2,4,6]=>[3,1,5,7,2,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[8,3,1,7,6,2,4,5]=>[3,1,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[7,3,1,5,6,2,8,4]=>[7,3,1,5,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[8,4,1,5,7,2,3,6]=>[4,1,5,7,2,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[8,4,1,7,6,2,3,5]=>[4,1,7,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[7,8,1,5,6,2,3,4]=>[7,1,5,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[7,4,1,5,6,2,8,3]=>[7,4,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[4,3,1,5,6,8,2,7]=>[4,3,1,5,6,2,7]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[4,3,1,5,8,7,2,6]=>[4,3,1,5,7,2,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[4,3,1,8,6,7,2,5]=>[4,3,1,6,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[8,3,1,5,6,7,2,4]=>[3,1,5,6,7,2,4]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[8,4,1,5,6,7,2,3]=>[4,1,5,6,7,2,3]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[4,3,1,5,6,7,8,2]=>[4,3,1,5,6,7,2]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[2,3,8,1,6,7,4,5]=>[2,3,1,6,7,4,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,6,4,1,3,8,5,7]=>[2,6,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,6,4,1,3,7,8,5]=>[2,6,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[2,7,5,1,3,4,8,6]=>[2,7,5,1,3,4,6]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[2,8,7,1,3,4,5,6]=>[2,7,1,3,4,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,8,5,1,3,7,4,6]=>[2,5,1,3,7,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[2,6,8,1,3,7,4,5]=>[2,6,1,3,7,4,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,6,5,1,3,7,8,4]=>[2,6,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[2,8,4,1,6,3,5,7]=>[2,4,1,6,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,8,4,1,7,3,5,6]=>[2,4,1,7,3,5,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[2,7,4,1,6,3,8,5]=>[2,7,4,1,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[2,8,5,1,7,3,4,6]=>[2,5,1,7,3,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[2,7,8,1,6,3,4,5]=>[2,7,1,6,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,7,5,1,6,3,8,4]=>[2,7,5,1,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[2,5,4,1,8,7,3,6]=>[2,5,4,1,7,3,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[2,8,4,1,6,7,3,5]=>[2,4,1,6,7,3,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,8,5,1,6,7,3,4]=>[2,5,1,6,7,3,4]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[2,5,4,1,6,7,8,3]=>[2,5,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[6,3,4,1,2,7,8,5]=>[6,3,4,1,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[7,3,5,1,2,4,8,6]=>[7,3,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[6,3,7,1,2,4,8,5]=>[6,3,7,1,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[8,3,5,1,2,7,4,6]=>[3,5,1,2,7,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[6,3,8,1,2,7,4,5]=>[6,3,1,2,7,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[6,3,5,1,2,7,8,4]=>[6,3,5,1,2,7,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[7,5,4,1,2,3,8,6]=>[7,5,4,1,2,3,6]=>[[1,2,3,6],[4],[5],[7]]=>[[1,4,5,7],[2],[3],[6]]
[6,7,4,1,2,3,8,5]=>[6,7,4,1,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[6,8,5,1,2,3,4,7]=>[6,5,1,2,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[6,7,5,1,2,3,8,4]=>[6,7,5,1,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[8,5,4,1,2,7,3,6]=>[5,4,1,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[6,8,4,1,2,7,3,5]=>[6,4,1,2,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[6,8,5,1,2,7,3,4]=>[6,5,1,2,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[6,5,4,1,2,7,8,3]=>[6,5,4,1,2,7,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[8,3,4,1,7,2,5,6]=>[3,4,1,7,2,5,6]=>[[1,2,5,6],[3,4,7]]=>[[1,3],[2,4],[5,7],[6]]
[7,3,4,1,6,2,8,5]=>[7,3,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[8,3,5,1,6,2,4,7]=>[3,5,1,6,2,4,7]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[8,3,5,1,7,2,4,6]=>[3,5,1,7,2,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[7,3,8,1,6,2,4,5]=>[7,3,1,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[7,3,5,1,6,2,8,4]=>[7,3,5,1,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[8,5,4,1,6,2,3,7]=>[5,4,1,6,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[8,5,4,1,7,2,3,6]=>[5,4,1,7,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[7,8,4,1,6,2,3,5]=>[7,4,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[7,8,5,1,6,2,3,4]=>[7,5,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[7,5,4,1,6,2,8,3]=>[7,5,4,1,6,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[5,3,4,1,6,8,2,7]=>[5,3,4,1,6,2,7]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[5,3,4,1,8,7,2,6]=>[5,3,4,1,7,2,6]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[8,3,4,1,6,7,2,5]=>[3,4,1,6,7,2,5]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[8,3,5,1,6,7,2,4]=>[3,5,1,6,7,2,4]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[8,5,4,1,6,7,2,3]=>[5,4,1,6,7,2,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[5,3,4,1,6,7,8,2]=>[5,3,4,1,6,7,2]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[2,3,4,8,1,7,5,6]=>[2,3,4,1,7,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,3,7,6,1,4,8,5]=>[2,3,7,6,1,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,3,8,5,1,7,4,6]=>[2,3,5,1,7,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[2,3,8,6,1,7,4,5]=>[2,3,6,1,7,4,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,3,6,5,1,7,8,4]=>[2,3,6,5,1,7,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[2,8,4,6,1,3,5,7]=>[2,4,6,1,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,7,4,8,1,3,5,6]=>[2,7,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[2,7,4,6,1,3,8,5]=>[2,7,4,6,1,3,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[2,8,6,5,1,3,4,7]=>[2,6,5,1,3,4,7]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[2,7,8,5,1,3,4,6]=>[2,7,5,1,3,4,6]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[2,7,8,6,1,3,4,5]=>[2,7,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,7,6,5,1,3,8,4]=>[2,7,6,5,1,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[2,6,4,5,1,8,3,7]=>[2,6,4,5,1,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,8,4,5,1,7,3,6]=>[2,4,5,1,7,3,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[2,8,4,6,1,7,3,5]=>[2,4,6,1,7,3,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,8,6,5,1,7,3,4]=>[2,6,5,1,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[2,6,4,5,1,7,8,3]=>[2,6,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[7,3,4,6,1,2,8,5]=>[7,3,4,6,1,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[8,3,6,5,1,2,4,7]=>[3,6,5,1,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[7,3,8,5,1,2,4,6]=>[7,3,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[7,3,8,6,1,2,4,5]=>[7,3,6,1,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[7,3,6,5,1,2,8,4]=>[7,3,6,5,1,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[7,6,4,5,1,2,8,3]=>[7,6,4,5,1,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[6,3,4,5,1,8,2,7]=>[6,3,4,5,1,2,7]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[8,3,4,5,1,7,2,6]=>[3,4,5,1,7,2,6]=>[[1,2,5,6],[3,4,7]]=>[[1,3],[2,4],[5,7],[6]]
[8,3,4,6,1,7,2,5]=>[3,4,6,1,7,2,5]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[8,3,6,5,1,7,2,4]=>[3,6,5,1,7,2,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[8,6,4,5,1,7,2,3]=>[6,4,5,1,7,2,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[6,3,4,5,1,7,8,2]=>[6,3,4,5,1,7,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[2,3,4,8,6,1,5,7]=>[2,3,4,6,1,5,7]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[2,3,4,8,7,1,5,6]=>[2,3,4,7,1,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,3,4,7,6,1,8,5]=>[2,3,4,7,6,1,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,3,8,5,6,1,4,7]=>[2,3,5,6,1,4,7]=>[[1,3,4,6,7],[2,5]]=>[[1,2],[3,5],[4],[6],[7]]
[2,3,8,5,7,1,4,6]=>[2,3,5,7,1,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[2,3,8,7,6,1,4,5]=>[2,3,7,6,1,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,3,7,5,6,1,8,4]=>[2,3,7,5,6,1,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[2,8,4,5,6,1,3,7]=>[2,4,5,6,1,3,7]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[2,8,4,5,7,1,3,6]=>[2,4,5,7,1,3,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[2,8,4,7,6,1,3,5]=>[2,4,7,6,1,3,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[2,8,7,5,6,1,3,4]=>[2,7,5,6,1,3,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[2,7,4,5,6,1,8,3]=>[2,7,4,5,6,1,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[8,3,4,5,7,1,2,6]=>[3,4,5,7,1,2,6]=>[[1,2,5,6],[3,4,7]]=>[[1,3],[2,4],[5,7],[6]]
[8,3,4,7,6,1,2,5]=>[3,4,7,6,1,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[8,3,7,5,6,1,2,4]=>[3,7,5,6,1,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[7,3,4,5,6,1,8,2]=>[7,3,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[2,3,4,5,8,7,1,6]=>[2,3,4,5,7,1,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,3,4,8,6,7,1,5]=>[2,3,4,6,7,1,5]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[2,3,8,5,6,7,1,4]=>[2,3,5,6,7,1,4]=>[[1,3,4,6,7],[2,5]]=>[[1,2],[3,5],[4],[6],[7]]
[2,8,4,5,6,7,1,3]=>[2,4,5,6,7,1,3]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8]]=>[[1],[2],[3],[4],[5],[6],[7],[8]]
[8,1,2,3,4,5,6,9,7]=>[8,1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]
[9,1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[[1,2,3,4,5,6,7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]
[7,1,2,3,4,5,8,9,6]=>[7,1,2,3,4,5,8,6]=>[[1,2,3,4,5,6],[7,8]]=>[[1,7],[2,8],[3],[4],[5],[6]]
[9,1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[[1,2,3,4,5,6,7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]
[6,1,2,3,4,9,8,5,7]=>[6,1,2,3,4,8,5,7]=>[[1,2,3,4,5,7],[6,8]]=>[[1,6],[2,8],[3],[4],[5],[7]]
[9,1,2,3,4,7,8,5,6]=>[1,2,3,4,7,8,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[[1,7],[2,8],[3],[4],[5],[6]]
[6,1,2,3,4,7,8,9,5]=>[6,1,2,3,4,7,8,5]=>[[1,2,3,4,5,8],[6,7]]=>[[1,6],[2,7],[3],[4],[5],[8]]
[8,1,2,3,9,4,5,6,7]=>[8,1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]
[5,1,2,3,9,8,4,6,7]=>[5,1,2,3,8,4,6,7]=>[[1,2,3,4,6,7],[5,8]]=>[[1,5],[2,8],[3],[4],[6],[7]]
[9,1,2,3,6,8,4,5,7]=>[1,2,3,6,8,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>[[1,6],[2,8],[3],[4],[5],[7]]
[5,1,2,3,6,9,8,4,7]=>[5,1,2,3,6,8,4,7]=>[[1,2,3,4,7],[5,6,8]]=>[[1,5],[2,6],[3,8],[4],[7]]
[9,1,2,8,3,4,5,6,7]=>[1,2,8,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]
[4,1,2,8,9,3,5,6,7]=>[4,1,2,8,3,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>[[1,4],[2,8],[3],[5],[6],[7]]
[8,1,2,5,9,3,4,6,7]=>[8,1,2,5,3,4,6,7]=>[[1,2,3,4,6,7],[5],[8]]=>[[1,5,8],[2],[3],[4],[6],[7]]
[4,1,2,5,9,8,3,6,7]=>[4,1,2,5,8,3,6,7]=>[[1,2,3,6,7],[4,5,8]]=>[[1,4],[2,5],[3,8],[6],[7]]
[9,1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]
[3,1,9,8,2,4,5,6,7]=>[3,1,8,2,4,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>[[1,3],[2,8],[4],[5],[6],[7]]
[9,1,4,8,2,3,5,6,7]=>[1,4,8,2,3,5,6,7]=>[[1,2,3,5,6,7],[4,8]]=>[[1,4],[2,8],[3],[5],[6],[7]]
[3,1,4,8,9,2,5,6,7]=>[3,1,4,8,2,5,6,7]=>[[1,2,5,6,7],[3,4,8]]=>[[1,3],[2,4],[5,8],[6],[7]]
[7,1,4,5,6,2,8,9,3]=>[7,1,4,5,6,2,8,3]=>[[1,2,3,6,8],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6],[8]]
[9,1,8,5,6,7,2,3,4]=>[1,8,5,6,7,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[[1,5,8],[2,6],[3,7],[4]]
[8,1,4,5,6,7,2,9,3]=>[8,1,4,5,6,7,2,3]=>[[1,2,3,6,7],[4,5],[8]]=>[[1,4,8],[2,5],[3],[6],[7]]
[3,1,4,9,6,7,8,2,5]=>[3,1,4,6,7,8,2,5]=>[[1,2,5,7,8],[3,4,6]]=>[[1,3],[2,4],[5,6],[7],[8]]
[3,1,9,5,6,7,8,2,4]=>[3,1,5,6,7,8,2,4]=>[[1,2,4,7,8],[3,5,6]]=>[[1,3],[2,5],[4,6],[7],[8]]
[9,1,4,5,6,7,8,2,3]=>[1,4,5,6,7,8,2,3]=>[[1,2,3,6,7,8],[4,5]]=>[[1,4],[2,5],[3],[6],[7],[8]]
[3,1,4,5,6,7,8,9,2]=>[3,1,4,5,6,7,8,2]=>[[1,2,5,6,7,8],[3,4]]=>[[1,3],[2,4],[5],[6],[7],[8]]
[2,9,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8]]
[2,4,1,6,3,8,5,9,7]=>[2,4,1,6,3,8,5,7]=>[[1,3,5,7],[2,4,6,8]]=>[[1,2],[3,4],[5,6],[7,8]]
[9,3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>[[1,3],[2],[4],[5],[6],[7],[8]]
[8,9,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]
[2,9,8,1,3,4,5,6,7]=>[2,8,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>[[1,2],[3,8],[4],[5],[6],[7]]
[9,3,8,1,2,4,5,6,7]=>[3,8,1,2,4,5,6,7]=>[[1,2,4,5,6,7],[3,8]]=>[[1,3],[2,8],[4],[5],[6],[7]]
[9,7,8,1,2,3,4,5,6]=>[7,8,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[[1,7],[2,8],[3],[4],[5],[6]]
[2,3,9,8,1,4,5,6,7]=>[2,3,8,1,4,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>[[1,2],[3,8],[4],[5],[6],[7]]
[9,7,4,5,6,1,2,3,8]=>[7,4,5,6,1,2,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6],[8]]
[2,3,9,5,6,7,1,4,8]=>[2,3,5,6,7,1,4,8]=>[[1,3,4,6,7,8],[2,5]]=>[[1,2],[3,5],[4],[6],[7],[8]]
[2,9,4,5,6,7,1,3,8]=>[2,4,5,6,7,1,3,8]=>[[1,3,5,6,7,8],[2,4]]=>[[1,2],[3,4],[5],[6],[7],[8]]
[9,3,4,5,6,7,1,2,8]=>[3,4,5,6,7,1,2,8]=>[[1,2,5,6,7,8],[3,4]]=>[[1,3],[2,4],[5],[6],[7],[8]]
[2,3,4,5,6,7,9,1,8]=>[2,3,4,5,6,7,1,8]=>[[1,3,4,5,6,7,8],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8]]
[2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,1]=>[[1,3,4,5,6,7,8],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8]]
[3,5,2,6,1,4,8,7]=>[3,5,2,6,1,4,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,5,2,6,4,1,8,7]=>[3,5,2,6,4,1,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,5,2,7,4,8,1,6]=>[3,5,2,7,4,1,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[3,5,2,7,4,8,6,1]=>[3,5,2,7,4,6,1]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[4,5,7,2,3,8,6,1]=>[4,5,7,2,3,6,1]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[4,5,7,2,3,8,1,6]=>[4,5,7,2,3,1,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[4,5,6,2,3,1,8,7]=>[4,5,6,2,3,1,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[4,5,6,2,1,3,8,7]=>[4,5,6,2,1,3,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[3,5,1,6,4,2,8,7]=>[3,5,1,6,4,2,7]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[4,5,6,1,3,2,8,7]=>[4,5,6,1,3,2,7]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[4,5,6,3,1,2,8,7]=>[4,5,6,3,1,2,7]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[4,5,7,3,2,8,1,6]=>[4,5,7,3,2,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,5,7,3,2,8,6,1]=>[4,5,7,3,2,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,6,7,3,8,2,5,1]=>[4,6,7,3,2,5,1]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,6,7,3,8,2,1,5]=>[4,6,7,3,2,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,6,7,3,8,1,2,5]=>[4,6,7,3,1,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[4,5,7,3,1,8,2,6]=>[4,5,7,3,1,2,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[4,5,7,1,3,8,2,6]=>[4,5,7,1,3,2,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[3,5,1,7,4,8,2,6]=>[3,5,1,7,4,2,6]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[2,1,5,7,4,8,3,6]=>[2,1,5,7,4,3,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[2,1,5,7,4,8,6,3]=>[2,1,5,7,4,6,3]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[3,5,1,7,4,8,6,2]=>[3,5,1,7,4,6,2]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[4,5,7,1,3,8,6,2]=>[4,5,7,1,3,6,2]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[4,5,7,3,1,8,6,2]=>[4,5,7,3,1,6,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[4,6,7,3,8,1,5,2]=>[4,6,7,3,1,5,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[4,6,7,3,8,5,1,2]=>[4,6,7,3,5,1,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[4,6,7,3,8,5,2,1]=>[4,6,7,3,5,2,1]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[5,6,7,8,3,1,4,2]=>[5,6,7,3,1,4,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[5,6,7,8,1,3,4,2]=>[5,6,7,1,3,4,2]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[4,6,7,1,8,3,5,2]=>[4,6,7,1,3,5,2]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[3,6,1,7,8,4,5,2]=>[3,6,1,7,4,5,2]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[2,1,6,7,8,4,5,3]=>[2,1,6,7,4,5,3]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[2,1,6,7,8,4,3,5]=>[2,1,6,7,4,3,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[3,6,1,7,8,4,2,5]=>[3,6,1,7,4,2,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[4,6,7,1,8,3,2,5]=>[4,6,7,1,3,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[5,6,7,8,1,3,2,4]=>[5,6,7,1,3,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[4,5,7,2,1,8,3,6]=>[4,5,7,2,1,3,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[4,6,7,2,8,1,3,5]=>[4,6,7,2,1,3,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[4,6,7,2,8,3,1,5]=>[4,6,7,2,3,1,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[4,6,7,2,8,3,5,1]=>[4,6,7,2,3,5,1]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[3,6,2,7,8,4,5,1]=>[3,6,2,7,4,5,1]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,6,2,7,8,4,1,5]=>[3,6,2,7,4,1,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,6,2,7,8,1,4,5]=>[3,6,2,7,1,4,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,5,2,7,1,8,4,6]=>[3,5,2,7,1,4,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[3,4,2,1,7,8,5,6]=>[3,4,2,1,7,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,4,1,2,7,8,6,5]=>[3,4,1,2,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[3,5,2,7,1,8,6,4]=>[3,5,2,7,1,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,6,2,7,8,1,5,4]=>[3,6,2,7,1,5,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[3,6,2,7,8,5,1,4]=>[3,6,2,7,5,1,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[3,6,2,7,8,5,4,1]=>[3,6,2,7,5,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[4,6,7,2,8,5,3,1]=>[4,6,7,2,5,3,1]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[4,6,7,2,8,5,1,3]=>[4,6,7,2,5,1,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[4,6,7,2,8,1,5,3]=>[4,6,7,2,1,5,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[4,5,7,2,1,8,6,3]=>[4,5,7,2,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[4,5,7,1,2,8,6,3]=>[4,5,7,1,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[3,5,1,7,2,8,6,4]=>[3,5,1,7,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[2,1,5,7,3,8,6,4]=>[2,1,5,7,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[2,1,6,7,8,3,5,4]=>[2,1,6,7,3,5,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[3,6,1,7,8,2,5,4]=>[3,6,1,7,2,5,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[4,6,7,1,8,2,5,3]=>[4,6,7,1,2,5,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[5,6,7,8,1,2,4,3]=>[5,6,7,1,2,4,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[5,6,7,8,2,1,4,3]=>[5,6,7,2,1,4,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[5,6,7,8,2,4,1,3]=>[5,6,7,2,4,1,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[5,6,7,8,2,4,3,1]=>[5,6,7,2,4,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,6,7,8,1,4,2,3]=>[5,6,7,1,4,2,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[4,6,7,1,8,5,2,3]=>[4,6,7,1,5,2,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[3,6,1,7,8,5,2,4]=>[3,6,1,7,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[2,1,6,7,8,5,3,4]=>[2,1,6,7,5,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[3,6,1,7,8,5,4,2]=>[3,6,1,7,5,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[4,6,7,1,8,5,3,2]=>[4,6,7,1,5,3,2]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[5,6,7,8,1,4,3,2]=>[5,6,7,1,4,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,6,7,8,4,1,3,2]=>[5,6,7,4,1,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[6,5,8,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[3,6,7,4,5,8,1,2]=>[3,6,7,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[2,6,7,4,5,1,8,3]=>[2,6,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[1,6,7,4,5,2,3,8]=>[1,6,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[1,5,4,7,6,2,3,8]=>[1,5,4,7,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[2,5,4,7,6,1,8,3]=>[2,5,4,7,6,1,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[3,5,4,7,6,8,1,2]=>[3,5,4,7,6,1,2]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[4,5,3,7,8,6,1,2]=>[4,5,3,7,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[5,4,3,8,7,6,1,2]=>[5,4,3,7,6,1,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[6,4,8,3,7,5,1,2]=>[6,4,3,7,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[6,3,8,4,5,7,1,2]=>[6,3,4,5,7,1,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[5,3,4,8,6,7,1,2]=>[5,3,4,6,7,1,2]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[4,3,5,6,8,7,1,2]=>[4,3,5,6,7,1,2]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[3,2,5,6,1,8,7,4]=>[3,2,5,6,1,7,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[4,2,5,6,8,1,7,3]=>[4,2,5,6,1,7,3]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[5,2,4,8,6,1,7,3]=>[5,2,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[6,2,8,4,5,1,7,3]=>[6,2,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[7,8,2,4,5,1,6,3]=>[7,2,4,5,1,6,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[7,8,1,4,5,2,3,6]=>[7,1,4,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[6,1,8,4,5,2,3,7]=>[6,1,4,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[5,1,4,8,6,2,3,7]=>[5,1,4,6,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[4,1,3,2,8,6,5,7]=>[4,1,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[5,1,3,8,2,6,4,7]=>[5,1,3,2,6,4,7]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[6,1,8,3,2,5,4,7]=>[6,1,3,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[7,8,1,3,2,5,4,6]=>[7,1,3,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[7,8,2,3,1,5,6,4]=>[7,2,3,1,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[6,2,8,3,1,5,7,4]=>[6,2,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[5,2,3,8,1,6,7,4]=>[5,2,3,1,6,7,4]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[6,3,8,2,1,7,5,4]=>[6,3,2,1,7,5,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[7,8,3,2,1,6,5,4]=>[7,3,2,1,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[7,8,4,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6]]
[5,4,2,8,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[4,5,2,7,8,1,6,3]=>[4,5,2,7,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[2,5,3,7,1,6,8,4]=>[2,5,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[1,5,3,7,2,6,4,8]=>[1,5,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[1,6,7,3,2,5,4,8]=>[1,6,7,3,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[2,6,7,3,1,5,8,4]=>[2,6,7,3,1,5,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[3,6,7,2,1,8,5,4]=>[3,6,7,2,1,5,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[7,8,5,6,2,1,4,3]=>[7,5,6,2,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[6,5,8,7,1,2,3,4]=>[6,5,7,1,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[5,4,1,8,7,2,3,6]=>[5,4,1,7,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[6,4,8,1,7,2,3,5]=>[6,4,1,7,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[7,8,3,1,2,6,4,5]=>[7,3,1,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[5,3,1,8,2,7,4,6]=>[5,3,1,2,7,4,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[4,3,1,2,8,7,5,6]=>[4,3,1,2,7,5,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[4,2,1,3,8,5,7,6]=>[4,2,1,3,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[5,2,1,8,3,4,7,6]=>[5,2,1,3,4,7,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[6,2,8,1,3,4,7,5]=>[6,2,1,3,4,7,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[7,8,2,1,3,4,6,5]=>[7,2,1,3,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[4,3,1,2,6,5,8,7]=>[4,3,1,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[5,3,1,6,2,4,8,7]=>[5,3,1,6,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[6,3,1,5,2,4,8,7]=>[6,3,1,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[7,3,1,5,2,8,4,6]=>[7,3,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[8,4,5,1,2,7,3,6]=>[4,5,1,2,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[7,4,5,1,2,8,3,6]=>[7,4,5,1,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[6,4,5,1,2,3,8,7]=>[6,4,5,1,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[5,4,6,1,2,3,8,7]=>[5,4,6,1,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[2,1,6,5,3,4,8,7]=>[2,1,6,5,3,4,7]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[3,6,1,5,2,4,8,7]=>[3,6,1,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[4,6,5,1,2,3,8,7]=>[4,6,5,1,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[5,6,4,1,2,3,8,7]=>[5,6,4,1,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[6,5,4,1,2,3,8,7]=>[6,5,4,1,2,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[7,5,4,1,2,8,3,6]=>[7,5,4,1,2,3,6]=>[[1,2,3,6],[4],[5],[7]]=>[[1,4,5,7],[2],[3],[6]]
[8,6,4,1,7,2,3,5]=>[6,4,1,7,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[7,6,4,1,8,2,3,5]=>[7,6,4,1,2,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[6,7,4,1,8,2,3,5]=>[6,7,4,1,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[5,7,4,1,2,8,3,6]=>[5,7,4,1,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[4,7,5,1,2,8,3,6]=>[4,7,5,1,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[3,7,1,5,2,8,4,6]=>[3,7,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[2,1,7,5,3,8,4,6]=>[2,1,7,5,3,4,6]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[2,1,8,5,3,7,4,6]=>[2,1,5,3,7,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[3,8,1,5,2,7,4,6]=>[3,1,5,2,7,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[4,8,5,1,2,7,3,6]=>[4,5,1,2,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[5,8,4,1,2,7,3,6]=>[5,4,1,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[6,8,4,1,7,2,3,5]=>[6,4,1,7,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[8,7,4,1,6,2,3,5]=>[7,4,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[5,8,6,7,1,2,3,4]=>[5,6,7,1,2,3,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[4,8,6,1,7,2,3,5]=>[4,6,1,7,2,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[3,8,1,6,7,2,4,5]=>[3,1,6,7,2,4,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[2,1,8,6,7,3,4,5]=>[2,1,6,7,3,4,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,1,7,6,8,3,4,5]=>[2,1,7,6,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[3,7,1,6,8,2,4,5]=>[3,7,1,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[4,7,6,1,8,2,3,5]=>[4,7,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[5,7,6,8,1,2,3,4]=>[5,7,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[5,4,7,1,2,8,3,6]=>[5,4,7,1,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[6,4,7,1,8,2,3,5]=>[6,4,7,1,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[7,4,6,1,8,2,3,5]=>[7,4,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[8,4,6,1,7,2,3,5]=>[4,6,1,7,2,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[8,3,1,6,7,2,4,5]=>[3,1,6,7,2,4,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[7,3,1,6,8,2,4,5]=>[7,3,1,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[6,3,1,7,8,2,4,5]=>[6,3,1,7,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[5,3,1,7,2,8,4,6]=>[5,3,1,7,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[4,3,1,2,7,8,5,6]=>[4,3,1,2,7,5,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[2,1,4,3,8,7,5,6]=>[2,1,4,3,7,5,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[3,4,1,2,8,7,5,6]=>[3,4,1,2,7,5,6]=>[[1,2,5,6],[3,4,7]]=>[[1,3],[2,4],[5,7],[6]]
[6,3,1,8,7,2,4,5]=>[6,3,1,7,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[7,3,1,8,6,2,4,5]=>[7,3,1,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[8,4,7,1,6,2,3,5]=>[4,7,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[7,4,8,1,6,2,3,5]=>[7,4,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[5,4,8,1,2,7,3,6]=>[5,4,1,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[4,5,8,1,2,7,3,6]=>[4,5,1,2,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[3,5,1,8,2,7,4,6]=>[3,5,1,2,7,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[2,1,5,8,3,7,4,6]=>[2,1,5,3,7,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[2,1,6,8,7,3,4,5]=>[2,1,6,7,3,4,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[3,6,1,8,7,2,4,5]=>[3,6,1,7,2,4,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[4,6,8,1,7,2,3,5]=>[4,6,1,7,2,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[5,6,8,7,1,2,3,4]=>[5,6,7,1,2,3,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[7,5,8,6,1,2,3,4]=>[7,5,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[8,5,7,6,1,2,3,4]=>[5,7,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[5,7,8,6,1,2,3,4]=>[5,7,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[4,7,8,1,6,2,3,5]=>[4,7,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[3,7,1,8,6,2,4,5]=>[3,7,1,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[2,1,7,8,6,3,4,5]=>[2,1,7,6,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,1,8,7,6,3,4,5]=>[2,1,7,6,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[3,8,1,7,6,2,4,5]=>[3,1,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[4,8,7,1,6,2,3,5]=>[4,7,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[5,8,7,6,1,2,3,4]=>[5,7,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[6,8,7,5,1,2,3,4]=>[6,7,5,1,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[6,4,7,3,8,5,1,2]=>[6,4,7,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[6,4,7,3,5,8,1,2]=>[6,4,7,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[6,4,7,2,5,1,8,3]=>[6,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[5,4,2,7,6,1,3,8]=>[5,4,2,7,6,1,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[5,4,2,7,6,1,8,3]=>[5,4,2,7,6,1,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[5,4,3,7,6,8,1,2]=>[5,4,3,7,6,1,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[5,4,3,7,8,6,1,2]=>[5,4,3,7,6,1,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[6,4,8,3,5,7,1,2]=>[6,4,3,5,7,1,2]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[5,4,3,8,6,7,1,2]=>[5,4,3,6,7,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,4,3,6,8,7,1,2]=>[5,4,3,6,7,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,4,2,6,7,1,8,3]=>[5,4,2,6,7,1,3]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,4,2,6,7,1,3,8]=>[5,4,2,6,7,1,3]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,3,2,6,1,7,4,8]=>[5,3,2,6,1,7,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,3,2,6,1,7,8,4]=>[5,3,2,6,1,7,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,3,2,6,1,8,7,4]=>[5,3,2,6,1,7,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,4,2,6,8,1,7,3]=>[5,4,2,6,1,7,3]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,4,2,8,6,1,7,3]=>[5,4,2,6,1,7,3]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[6,4,8,2,5,1,7,3]=>[6,4,2,5,1,7,3]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[7,8,4,2,5,1,6,3]=>[7,4,2,5,1,6,3]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[7,8,4,2,5,1,3,6]=>[7,4,2,5,1,3,6]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[5,4,2,8,6,1,3,7]=>[5,4,2,6,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,3,2,6,1,8,4,7]=>[5,3,2,6,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[4,3,2,1,6,8,5,7]=>[4,3,2,1,6,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,3,2,1,8,6,5,7]=>[4,3,2,1,6,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[5,3,2,8,1,6,4,7]=>[5,3,2,1,6,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[6,3,8,2,1,5,4,7]=>[6,3,2,1,5,4,7]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[7,8,3,2,1,5,4,6]=>[7,3,2,1,5,4,6]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[7,8,3,2,1,5,6,4]=>[7,3,2,1,5,6,4]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[6,3,8,2,1,5,7,4]=>[6,3,2,1,5,7,4]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[5,3,2,8,1,6,7,4]=>[5,3,2,1,6,7,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,4,2,7,8,1,6,3]=>[5,4,2,7,1,6,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[5,3,2,7,1,8,6,4]=>[5,3,2,7,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[5,3,2,7,1,6,8,4]=>[5,3,2,7,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[5,3,2,7,1,6,4,8]=>[5,3,2,7,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[6,3,7,2,1,5,4,8]=>[6,3,7,2,1,5,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[6,3,7,2,1,5,8,4]=>[6,3,7,2,1,5,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[6,3,7,2,1,8,5,4]=>[6,3,7,2,1,5,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[6,4,7,2,8,1,5,3]=>[6,4,7,2,1,5,3]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[6,5,7,8,2,1,4,3]=>[6,5,7,2,1,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[6,5,8,7,2,1,3,4]=>[6,5,7,2,1,3,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[6,3,7,2,1,8,4,5]=>[6,3,7,2,1,4,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[6,3,7,2,1,4,8,5]=>[6,3,7,2,1,4,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[6,3,7,2,1,4,5,8]=>[6,3,7,2,1,4,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[5,3,2,7,1,4,8,6]=>[5,3,2,7,1,4,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[5,4,2,8,7,1,3,6]=>[5,4,2,7,1,3,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[7,8,4,2,6,1,3,5]=>[7,4,2,6,1,3,5]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[7,8,3,2,1,6,4,5]=>[7,3,2,1,6,4,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[6,3,8,2,1,7,4,5]=>[6,3,2,1,7,4,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[5,3,2,8,1,7,4,6]=>[5,3,2,1,7,4,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[4,3,2,1,8,7,5,6]=>[4,3,2,1,7,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,3,2,1,7,5,8,6]=>[4,3,2,1,7,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,3,2,1,7,5,6,8]=>[4,3,2,1,7,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,3,2,1,8,5,7,6]=>[4,3,2,1,5,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[5,3,2,8,1,4,7,6]=>[5,3,2,1,4,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[6,3,8,2,1,4,7,5]=>[6,3,2,1,4,7,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[7,8,3,2,1,4,6,5]=>[7,3,2,1,4,6,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[6,3,8,2,1,4,5,7]=>[6,3,2,1,4,5,7]=>[[1,4,5,7],[2],[3],[6]]=>[[1,2,3,6],[4],[5],[7]]
[4,3,2,1,8,5,6,7]=>[4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[4,3,2,1,5,8,6,7]=>[4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[7,8,5,6,1,2,4,3]=>[7,5,6,1,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[7,8,4,1,6,2,5,3]=>[7,4,1,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[7,8,1,4,6,2,5,3]=>[7,1,4,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[6,1,8,4,7,2,5,3]=>[6,1,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[1,6,8,4,7,2,5,3]=>[1,6,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[1,6,8,3,2,7,5,4]=>[1,6,3,2,7,5,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[6,1,8,3,2,7,5,4]=>[6,1,3,2,7,5,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[7,8,1,3,2,6,5,4]=>[7,1,3,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[7,8,3,1,2,6,5,4]=>[7,3,1,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[7,8,3,4,6,5,1,2]=>[7,3,4,6,5,1,2]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[7,8,2,4,6,1,5,3]=>[7,2,4,6,1,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[7,8,2,3,1,6,5,4]=>[7,2,3,1,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[7,8,2,1,3,6,5,4]=>[7,2,1,3,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[7,8,1,2,3,6,5,4]=>[7,1,2,3,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[6,1,8,2,3,7,5,4]=>[6,1,2,3,7,5,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[1,6,8,2,3,7,5,4]=>[1,6,2,3,7,5,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[1,5,2,8,3,7,6,4]=>[1,5,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[5,1,2,8,3,7,6,4]=>[5,1,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[5,2,1,8,3,7,6,4]=>[5,2,1,3,7,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[6,2,8,1,3,7,5,4]=>[6,2,1,3,7,5,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[6,2,8,3,1,7,5,4]=>[6,2,3,1,7,5,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[6,2,8,4,7,1,5,3]=>[6,2,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[6,3,8,4,7,5,1,2]=>[6,3,4,7,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[3,6,8,4,7,5,1,2]=>[3,6,4,7,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[2,6,8,4,7,1,5,3]=>[2,6,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[2,6,8,3,1,7,5,4]=>[2,6,3,1,7,5,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[2,6,8,1,3,7,5,4]=>[2,6,1,3,7,5,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[2,5,1,8,3,7,6,4]=>[2,5,1,3,7,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[1,2,5,8,3,7,6,4]=>[1,2,5,3,7,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[2,4,1,3,8,7,6,5]=>[2,4,1,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[2,5,3,8,1,7,6,4]=>[2,5,3,1,7,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[2,5,4,8,7,1,6,3]=>[2,5,4,7,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[3,5,4,8,7,6,1,2]=>[3,5,4,7,6,1,2]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[5,3,4,8,7,6,1,2]=>[5,3,4,7,6,1,2]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[5,2,4,8,7,1,6,3]=>[5,2,4,7,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[5,2,3,8,1,7,6,4]=>[5,2,3,1,7,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[4,2,1,3,8,7,6,5]=>[4,2,1,3,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[4,1,2,3,8,7,6,5]=>[4,1,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[1,4,2,3,8,7,6,5]=>[1,4,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[4,1,3,2,8,7,6,5]=>[4,1,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[4,3,1,2,8,7,6,5]=>[4,3,1,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[6,3,8,1,2,7,5,4]=>[6,3,1,2,7,5,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[5,3,1,8,2,7,6,4]=>[5,3,1,2,7,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[5,1,3,8,2,7,6,4]=>[5,1,3,2,7,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[1,5,3,8,2,7,6,4]=>[1,5,3,2,7,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[1,5,4,8,7,2,6,3]=>[1,5,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[5,1,4,8,7,2,6,3]=>[5,1,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[5,4,1,8,7,2,6,3]=>[5,4,1,7,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[6,4,8,1,7,2,5,3]=>[6,4,1,7,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[6,5,8,7,1,2,4,3]=>[6,5,7,1,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[5,6,8,7,3,4,1,2]=>[5,6,7,3,4,1,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[5,6,8,7,2,1,4,3]=>[5,6,7,2,1,4,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[4,5,1,8,7,2,6,3]=>[4,5,1,7,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[4,1,5,8,7,2,6,3]=>[4,1,5,7,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[1,4,5,8,7,2,6,3]=>[1,4,5,7,2,6,3]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[1,3,5,8,2,7,6,4]=>[1,3,5,2,7,6,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[3,1,5,8,2,7,6,4]=>[3,1,5,2,7,6,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[3,6,8,1,2,7,5,4]=>[3,6,1,2,7,5,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[3,6,8,2,1,7,5,4]=>[3,6,2,1,7,5,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[4,6,8,2,7,1,5,3]=>[4,6,2,7,1,5,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[4,6,8,3,7,5,1,2]=>[4,6,3,7,5,1,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[4,5,3,8,7,6,1,2]=>[4,5,3,7,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[4,5,2,8,7,1,6,3]=>[4,5,2,7,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[3,5,2,8,1,7,6,4]=>[3,5,2,1,7,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,1,4,2,8,7,6,5]=>[3,1,4,2,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[3,1,2,4,8,7,6,5]=>[3,1,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[3,2,5,8,1,7,6,4]=>[3,2,5,1,7,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[4,2,5,8,7,1,6,3]=>[4,2,5,7,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[4,3,5,8,7,6,1,2]=>[4,3,5,7,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[3,4,5,8,7,6,1,2]=>[3,4,5,7,6,1,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[2,4,5,8,7,1,6,3]=>[2,4,5,7,1,6,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[2,3,5,8,1,7,6,4]=>[2,3,5,1,7,6,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[4,1,3,2,6,5,8,7]=>[4,1,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[5,1,3,2,6,4,8,7]=>[5,1,3,2,6,4,7]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[6,1,3,2,5,4,8,7]=>[6,1,3,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[7,1,3,2,5,4,8,6]=>[7,1,3,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[8,1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[8,1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[7,1,4,2,5,3,8,6]=>[7,1,4,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[6,1,4,2,5,3,8,7]=>[6,1,4,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[5,1,4,2,6,3,8,7]=>[5,1,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[2,1,6,3,5,4,8,7]=>[2,1,6,3,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[3,1,6,2,5,4,8,7]=>[3,1,6,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[4,1,6,2,5,3,8,7]=>[4,1,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[6,2,5,1,4,3,8,7]=>[6,2,5,1,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[5,2,6,1,4,3,8,7]=>[5,2,6,1,4,3,7]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[5,2,7,1,4,3,8,6]=>[5,2,7,1,4,3,6]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[5,2,8,1,4,3,7,6]=>[5,2,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[6,2,8,1,4,3,7,5]=>[6,2,1,4,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[6,2,7,1,4,3,8,5]=>[6,2,7,1,4,3,5]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[7,2,6,1,4,3,8,5]=>[7,2,6,1,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[7,2,5,1,4,3,8,6]=>[7,2,5,1,4,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[4,1,7,2,5,3,8,6]=>[4,1,7,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[3,1,7,2,5,4,8,6]=>[3,1,7,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[2,1,7,3,5,4,8,6]=>[2,1,7,3,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[2,1,8,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[3,1,8,2,5,4,7,6]=>[3,1,2,5,4,7,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[4,1,8,2,5,3,7,6]=>[4,1,2,5,3,7,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[8,2,5,1,4,3,7,6]=>[2,5,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[8,2,6,1,4,3,7,5]=>[2,6,1,4,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[7,1,4,3,8,2,6,5]=>[7,1,4,3,2,6,5]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[8,1,4,3,7,2,6,5]=>[1,4,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[8,1,5,3,7,2,6,4]=>[1,5,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[7,1,5,3,8,2,6,4]=>[7,1,5,3,2,6,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[8,2,6,1,5,3,7,4]=>[2,6,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[5,1,8,2,6,3,7,4]=>[5,1,2,6,3,7,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[4,1,8,2,6,3,7,5]=>[4,1,2,6,3,7,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[3,1,8,2,6,4,7,5]=>[3,1,2,6,4,7,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[2,1,8,3,6,4,7,5]=>[2,1,3,6,4,7,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,1,7,3,6,4,8,5]=>[2,1,7,3,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[4,1,7,2,6,3,8,5]=>[4,1,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[5,1,7,2,6,3,8,4]=>[5,1,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[7,2,6,1,5,3,8,4]=>[7,2,6,1,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[6,2,7,1,5,3,8,4]=>[6,2,7,1,5,3,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[6,2,8,1,5,3,7,4]=>[6,2,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[8,1,5,2,6,3,7,4]=>[1,5,2,6,3,7,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[6,1,5,2,7,3,8,4]=>[6,1,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[6,1,4,2,7,3,8,5]=>[6,1,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[8,1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[8,1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[7,1,3,2,6,4,8,5]=>[7,1,3,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[6,1,3,2,7,4,8,5]=>[6,1,3,2,7,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[5,1,3,2,7,4,8,6]=>[5,1,3,2,7,4,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[4,1,3,2,7,5,8,6]=>[4,1,3,2,7,5,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[2,1,4,3,8,5,7,6]=>[2,1,4,3,5,7,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[3,1,4,2,8,5,7,6]=>[3,1,4,2,5,7,6]=>[[1,2,5,6],[3,4,7]]=>[[1,3],[2,4],[5,7],[6]]
[4,1,3,2,8,5,7,6]=>[4,1,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[5,1,3,2,8,4,7,6]=>[5,1,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[6,1,3,2,8,4,7,5]=>[6,1,3,2,4,7,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[8,4,7,1,3,2,6,5]=>[4,7,1,3,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[7,4,8,1,3,2,6,5]=>[7,4,1,3,2,6,5]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[7,3,8,1,4,2,6,5]=>[7,3,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[8,3,7,1,4,2,6,5]=>[3,7,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[6,1,4,2,8,3,7,5]=>[6,1,4,2,3,7,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[5,1,4,2,8,3,7,6]=>[5,1,4,2,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[4,1,5,2,8,3,7,6]=>[4,1,5,2,3,7,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[3,1,5,2,8,4,7,6]=>[3,1,5,2,4,7,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[2,1,5,3,8,4,7,6]=>[2,1,5,3,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[2,1,6,3,8,4,7,5]=>[2,1,6,3,4,7,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[3,1,6,2,8,4,7,5]=>[3,1,6,2,4,7,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[4,1,6,2,8,3,7,5]=>[4,1,6,2,3,7,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[5,1,6,2,8,3,7,4]=>[5,1,6,2,3,7,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[6,1,5,2,8,3,7,4]=>[6,1,5,2,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[8,3,7,1,5,2,6,4]=>[3,7,1,5,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[7,3,8,1,5,2,6,4]=>[7,3,1,5,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[6,2,7,3,8,1,5,4]=>[6,2,7,3,1,5,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[6,2,8,3,7,1,5,4]=>[6,2,3,7,1,5,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[8,3,7,2,6,1,5,4]=>[3,7,2,6,1,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[5,1,8,3,7,2,6,4]=>[5,1,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[4,1,8,3,7,2,6,5]=>[4,1,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[3,1,8,4,7,2,6,5]=>[3,1,4,7,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[2,1,8,4,7,3,6,5]=>[2,1,4,7,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[2,1,7,4,8,3,6,5]=>[2,1,7,4,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[3,1,7,4,8,2,6,5]=>[3,1,7,4,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[4,1,7,3,8,2,6,5]=>[4,1,7,3,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[5,1,7,3,8,2,6,4]=>[5,1,7,3,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[7,3,8,2,6,1,5,4]=>[7,3,2,6,1,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[8,2,6,3,7,1,5,4]=>[2,6,3,7,1,5,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[7,2,6,3,8,1,5,4]=>[7,2,6,3,1,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[3,4,2,6,8,1,5,7]=>[3,4,2,6,1,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[5,3,6,2,8,1,4,7]=>[5,3,6,2,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,3,6,2,4,8,1,7]=>[5,3,6,2,4,1,7]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,7,3,8,2,4,1,6]=>[5,7,3,2,4,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[5,7,3,8,2,4,6,1]=>[5,7,3,2,4,6,1]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[7,4,2,5,8,3,6,1]=>[7,4,2,5,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[7,4,2,5,8,3,1,6]=>[7,4,2,5,3,1,6]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[4,5,2,6,3,8,1,7]=>[4,5,2,6,3,1,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[4,5,2,1,6,8,3,7]=>[4,5,2,1,6,3,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[5,3,1,6,8,2,4,7]=>[5,3,1,6,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[5,6,2,8,1,3,4,7]=>[5,6,2,1,3,4,7]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[3,5,6,1,4,8,2,7]=>[3,5,6,1,4,2,7]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[4,1,5,6,3,8,2,7]=>[4,1,5,6,3,2,7]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[4,5,1,6,3,8,2,7]=>[4,5,1,6,3,2,7]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[4,5,6,3,2,8,1,7]=>[4,5,6,3,2,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[7,4,5,3,8,2,1,6]=>[7,4,5,3,2,1,6]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[7,4,5,3,8,2,6,1]=>[7,4,5,3,2,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[6,7,4,8,3,2,5,1]=>[6,7,4,3,2,5,1]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[6,7,4,8,3,2,1,5]=>[6,7,4,3,2,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[6,7,4,1,8,3,2,5]=>[6,7,4,1,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[7,4,5,3,1,8,2,6]=>[7,4,5,3,1,2,6]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[4,7,1,5,8,3,2,6]=>[4,7,1,5,3,2,6]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[5,3,7,8,1,4,2,6]=>[5,3,7,1,4,2,6]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[7,5,8,2,4,6,1,3]=>[7,5,2,4,6,1,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[7,3,5,8,1,4,6,2]=>[7,3,5,1,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[4,5,1,7,8,3,6,2]=>[4,5,1,7,3,6,2]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[7,4,1,5,8,3,6,2]=>[7,4,1,5,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[6,7,4,3,8,1,5,2]=>[6,7,4,3,1,5,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[6,7,4,8,3,1,5,2]=>[6,7,4,3,1,5,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[6,7,4,8,3,5,2,1]=>[6,7,4,3,5,2,1]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[5,6,7,3,8,4,2,1]=>[5,6,7,3,4,2,1]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,6,7,3,1,8,4,2]=>[5,6,7,3,1,4,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[5,6,1,7,3,8,4,2]=>[5,6,1,7,3,4,2]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[5,1,6,7,3,8,4,2]=>[5,1,6,7,3,4,2]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[6,4,7,1,8,3,5,2]=>[6,4,7,1,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[6,7,8,3,1,4,5,2]=>[6,7,3,1,4,5,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[6,7,2,8,4,5,1,3]=>[6,7,2,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[6,7,2,8,4,1,3,5]=>[6,7,2,4,1,3,5]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[6,1,7,4,8,3,2,5]=>[6,1,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[5,1,6,7,3,2,8,4]=>[5,1,6,7,3,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[5,6,1,7,3,2,8,4]=>[5,6,1,7,3,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[5,6,7,3,2,1,8,4]=>[5,6,7,3,2,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,6,7,3,2,8,4,1]=>[5,6,7,3,2,4,1]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,6,2,7,3,8,4,1]=>[5,6,2,7,3,4,1]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[5,6,2,7,3,1,8,4]=>[5,6,2,7,3,1,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[5,6,2,1,7,3,8,4]=>[5,6,2,1,7,3,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[6,1,7,4,2,8,3,5]=>[6,1,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[6,7,2,1,8,3,4,5]=>[6,7,2,1,3,4,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[7,5,8,2,1,3,4,6]=>[7,5,2,1,3,4,6]=>[[1,3,4,6],[2],[5],[7]]=>[[1,2,5,7],[3],[4],[6]]
[5,7,3,1,8,2,4,6]=>[5,7,3,1,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[4,7,1,5,2,8,3,6]=>[4,7,1,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[7,4,2,5,1,8,3,6]=>[7,4,2,5,1,3,6]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[6,7,4,2,1,8,3,5]=>[6,7,4,2,1,3,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[6,7,4,2,8,3,1,5]=>[6,7,4,2,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[6,7,4,2,8,3,5,1]=>[6,7,4,2,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[3,6,7,2,8,4,5,1]=>[3,6,7,2,4,5,1]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,6,7,2,8,4,1,5]=>[3,6,7,2,4,1,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,6,7,2,1,8,4,5]=>[3,6,7,2,1,4,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[5,7,3,8,2,1,4,6]=>[5,7,3,2,1,4,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[3,4,7,8,2,1,5,6]=>[3,4,7,2,1,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,7,8,1,4,6,2,5]=>[3,7,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[3,4,7,8,2,6,1,5]=>[3,4,7,2,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[5,7,3,8,2,6,1,4]=>[5,7,3,2,6,1,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[3,6,7,2,8,5,1,4]=>[3,6,7,2,5,1,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[3,6,7,8,5,2,1,4]=>[3,6,7,5,2,1,4]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[3,6,7,8,5,2,4,1]=>[3,6,7,5,2,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[6,4,7,8,2,5,3,1]=>[6,4,7,2,5,3,1]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[6,4,7,8,2,1,5,3]=>[6,4,7,2,1,5,3]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[4,1,5,7,8,2,6,3]=>[4,1,5,7,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[5,3,7,8,1,6,2,4]=>[5,3,7,1,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[6,7,2,8,5,1,3,4]=>[6,7,2,5,1,3,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[6,4,1,7,8,2,5,3]=>[6,4,1,7,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[5,1,6,2,7,8,4,3]=>[5,1,6,2,7,4,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[5,6,2,1,7,8,4,3]=>[5,6,2,1,7,4,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[5,6,2,7,1,8,4,3]=>[5,6,2,7,1,4,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[5,6,2,7,8,4,3,1]=>[5,6,2,7,4,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,6,7,2,8,4,3,1]=>[5,6,7,2,4,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,6,7,2,1,8,4,3]=>[5,6,7,2,1,4,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[5,6,1,7,2,8,4,3]=>[5,6,1,7,2,4,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[5,1,6,7,2,8,4,3]=>[5,1,6,7,2,4,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[6,4,7,1,8,2,5,3]=>[6,4,7,1,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[3,6,7,1,8,5,2,4]=>[3,6,7,1,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[6,7,8,5,2,4,1,3]=>[6,7,5,2,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[6,7,8,3,5,1,4,2]=>[6,7,3,5,1,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[4,6,7,8,1,5,3,2]=>[4,6,7,1,5,3,2]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[5,1,6,7,8,4,3,2]=>[5,1,6,7,4,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,6,1,7,8,4,3,2]=>[5,6,1,7,4,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,6,7,1,8,4,3,2]=>[5,6,7,1,4,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[8,6,1,3,4,2,5,7]=>[6,1,3,4,2,5,7]=>[[1,2,4,5,7],[3],[6]]=>[[1,3,6],[2],[4],[5],[7]]
[8,3,2,5,1,6,4,7]=>[3,2,5,1,6,4,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[8,5,3,6,2,4,1,7]=>[5,3,6,2,4,1,7]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,3,2,7,4,1,8,6]=>[5,3,2,7,4,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[7,5,3,8,2,4,6,1]=>[7,5,3,2,4,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>[[1,2,3,5,7],[4],[6]]
[7,2,4,5,8,3,6,1]=>[7,2,4,5,3,6,1]=>[[1,3,5,6],[2],[4],[7]]=>[[1,2,4,7],[3],[5],[6]]
[2,4,5,3,7,1,8,6]=>[2,4,5,3,7,1,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[8,2,4,5,6,3,1,7]=>[2,4,5,6,3,1,7]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,4],[3],[5],[6],[7]]
[8,2,4,5,6,1,3,7]=>[2,4,5,6,1,3,7]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[8,1,2,4,5,6,3,7]=>[1,2,4,5,6,3,7]=>[[1,2,3,5,6,7],[4]]=>[[1,4],[2],[3],[5],[6],[7]]
[8,2,5,1,3,6,4,7]=>[2,5,1,3,6,4,7]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[8,5,6,2,1,4,3,7]=>[5,6,2,1,4,3,7]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[8,5,3,6,4,1,2,7]=>[5,3,6,4,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[8,4,1,5,6,3,2,7]=>[4,1,5,6,3,2,7]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[8,1,4,5,6,3,2,7]=>[1,4,5,6,3,2,7]=>[[1,2,5,6,7],[3],[4]]=>[[1,3,4],[2],[5],[6],[7]]
[4,5,3,7,2,1,8,6]=>[4,5,3,7,2,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[7,4,5,8,3,2,6,1]=>[7,4,5,3,2,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[4,3,6,7,2,8,5,1]=>[4,3,6,7,2,5,1]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,3,6,7,2,8,1,5]=>[4,3,6,7,2,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[1,4,3,6,7,2,8,5]=>[1,4,3,6,7,2,5]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[4,5,3,7,1,8,2,6]=>[4,5,3,7,1,2,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[4,1,5,3,7,2,8,6]=>[4,1,5,3,7,2,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[5,3,4,7,1,2,8,6]=>[5,3,4,7,1,2,6]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[7,5,8,2,1,4,6,3]=>[7,5,2,1,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[7,5,3,8,4,1,6,2]=>[7,5,3,4,1,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[7,4,5,8,3,6,1,2]=>[7,4,5,3,6,1,2]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[4,3,6,7,8,1,5,2]=>[4,3,6,7,1,5,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[1,6,4,7,8,3,5,2]=>[1,6,4,7,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[6,4,7,8,3,5,2,1]=>[6,4,7,3,5,2,1]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[3,5,6,7,8,4,1,2]=>[3,5,6,7,4,1,2]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[3,1,5,6,7,8,4,2]=>[3,1,5,6,7,4,2]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[4,6,1,7,8,3,5,2]=>[4,6,1,7,3,5,2]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[3,6,7,1,4,8,5,2]=>[3,6,7,1,4,5,2]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[6,2,4,1,7,8,5,3]=>[6,2,4,1,7,5,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[2,6,7,1,4,8,3,5]=>[2,6,7,1,4,3,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[4,3,6,7,8,1,2,5]=>[4,3,6,7,1,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[1,5,3,6,7,8,2,4]=>[1,5,3,6,7,2,4]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[3,5,6,7,8,2,1,4]=>[3,5,6,7,2,1,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,5,6,7,8,2,4,1]=>[3,5,6,7,2,4,1]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[5,2,7,1,3,8,4,6]=>[5,2,7,1,3,4,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[5,3,1,7,8,2,4,6]=>[5,3,1,7,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[4,5,2,7,8,1,3,6]=>[4,5,2,7,1,3,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[4,2,6,7,8,3,1,5]=>[4,2,6,7,3,1,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[4,2,6,7,8,3,5,1]=>[4,2,6,7,3,5,1]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[3,6,2,7,4,8,5,1]=>[3,6,2,7,4,5,1]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,6,2,7,4,8,1,5]=>[3,6,2,7,4,1,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,2,1,6,4,7,8,5]=>[3,2,1,6,4,7,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,7,4,2,1,5,8,6]=>[3,7,4,2,1,5,6]=>[[1,4,5,6],[2],[3],[7]]=>[[1,2,3,7],[4],[5],[6]]
[1,7,3,4,2,5,8,6]=>[1,7,3,4,2,5,6]=>[[1,2,4,5,6],[3],[7]]=>[[1,3,7],[2],[4],[5],[6]]
[4,7,2,1,3,5,8,6]=>[4,7,2,1,3,5,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[7,8,4,2,1,3,6,5]=>[7,4,2,1,3,6,5]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[7,8,1,3,4,2,6,5]=>[7,1,3,4,2,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[7,8,3,4,2,1,6,5]=>[7,3,4,2,1,6,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[6,3,2,7,1,8,5,4]=>[6,3,2,7,1,5,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[3,6,2,7,1,8,5,4]=>[3,6,2,7,1,5,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[6,7,3,8,2,5,4,1]=>[6,7,3,2,5,4,1]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[6,4,7,8,5,2,3,1]=>[6,4,7,5,2,3,1]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[2,6,4,7,8,1,5,3]=>[2,6,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[4,6,2,7,8,1,5,3]=>[4,6,2,7,1,5,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[7,4,5,8,6,2,1,3]=>[7,4,5,6,2,1,3]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[7,4,1,5,8,6,2,3]=>[7,4,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[7,5,3,8,6,1,2,4]=>[7,5,3,6,1,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[7,5,8,2,1,6,3,4]=>[7,5,2,1,6,3,4]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[6,2,7,1,3,8,5,4]=>[6,2,7,1,3,5,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[6,3,1,7,8,2,5,4]=>[6,3,1,7,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[4,6,1,7,8,5,2,3]=>[4,6,1,7,5,2,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[5,1,2,6,7,8,4,3]=>[5,1,2,6,7,4,3]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[5,2,6,7,8,4,1,3]=>[5,2,6,7,4,1,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[5,2,6,7,8,4,3,1]=>[5,2,6,7,4,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[2,5,6,7,8,4,1,3]=>[2,5,6,7,4,1,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[1,5,2,6,7,8,4,3]=>[1,5,2,6,7,4,3]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[1,6,4,7,8,5,2,3]=>[1,6,4,7,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[2,6,7,1,3,8,5,4]=>[2,6,7,1,3,5,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[6,7,8,2,1,5,4,3]=>[6,7,2,1,5,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[6,7,3,8,5,1,4,2]=>[6,7,3,5,1,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[6,4,7,8,5,3,1,2]=>[6,4,7,5,3,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[4,5,2,3,7,6,1,8]=>[4,5,2,3,7,6,1]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[6,4,3,7,2,5,1,8]=>[6,4,3,7,2,5,1]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[8,4,3,6,5,1,2,7]=>[4,3,6,5,1,2,7]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[1,5,6,3,4,8,7,2]=>[1,5,6,3,4,7,2]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[4,6,2,7,3,5,1,8]=>[4,6,2,7,3,5,1]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[3,2,6,7,4,5,1,8]=>[3,2,6,7,4,5,1]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[4,7,2,6,5,3,1,8]=>[4,7,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[[1,2,4,6,7],[3,5]]
[5,7,6,2,4,3,1,8]=>[5,7,6,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]
[1,7,5,4,8,3,6,2]=>[1,7,5,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[8,7,5,4,1,3,2,6]=>[7,5,4,1,3,2,6]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[6,8,5,4,2,1,3,7]=>[6,5,4,2,1,3,7]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3],[7]]
[5,8,6,2,4,1,3,7]=>[5,6,2,4,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[4,8,2,6,5,1,3,7]=>[4,2,6,5,1,3,7]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[3,2,8,6,5,1,4,7]=>[3,2,6,5,1,4,7]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[4,1,2,6,5,8,7,3]=>[4,1,2,6,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[5,1,6,2,4,8,7,3]=>[5,1,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[6,1,5,4,2,8,7,3]=>[6,1,5,4,2,7,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[7,1,5,4,8,2,6,3]=>[7,1,5,4,2,6,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[8,1,5,4,7,6,2,3]=>[1,5,4,7,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[1,8,6,7,4,5,3,2]=>[1,6,7,4,5,3,2]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[8,1,6,7,4,5,2,3]=>[1,6,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[7,1,6,8,4,2,5,3]=>[7,1,6,4,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[6,1,7,8,2,4,5,3]=>[6,1,7,2,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[5,1,7,2,8,4,6,3]=>[5,1,7,2,4,6,3]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[4,1,2,7,8,5,6,3]=>[4,1,2,7,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[3,2,1,7,8,5,6,4]=>[3,2,1,7,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,2,8,7,1,5,4,6]=>[3,2,7,1,5,4,6]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[4,8,2,7,1,5,3,6]=>[4,2,7,1,5,3,6]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[5,8,7,2,1,4,3,6]=>[5,7,2,1,4,3,6]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[6,8,7,1,2,4,3,5]=>[6,7,1,2,4,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[7,8,6,1,4,2,3,5]=>[7,6,1,4,2,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[8,7,6,1,4,3,2,5]=>[7,6,1,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[1,7,6,8,4,3,5,2]=>[1,7,6,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[1,6,7,8,3,4,5,2]=>[1,6,7,3,4,5,2]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[8,6,7,1,3,4,2,5]=>[6,7,1,3,4,2,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[7,6,8,1,3,2,4,5]=>[7,6,1,3,2,4,5]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[5,7,8,2,1,3,4,6]=>[5,7,2,1,3,4,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[4,7,2,8,1,3,5,6]=>[4,7,2,1,3,5,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[3,2,6,8,4,1,5,7]=>[3,2,6,4,1,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[4,6,2,8,3,1,5,7]=>[4,6,2,3,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[5,6,8,2,3,1,4,7]=>[5,6,2,3,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[6,5,8,3,2,1,4,7]=>[6,5,3,2,1,4,7]=>[[1,4,7],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4],[7]]
[7,5,8,3,1,2,4,6]=>[7,5,3,1,2,4,6]=>[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]
[8,5,7,3,1,4,2,6]=>[5,7,3,1,4,2,6]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[1,5,7,3,8,4,6,2]=>[1,5,7,3,4,6,2]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[1,4,3,7,8,5,6,2]=>[1,4,3,7,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[8,4,3,7,1,5,2,6]=>[4,3,7,1,5,2,6]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[6,4,3,8,2,1,5,7]=>[6,4,3,2,1,5,7]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5],[7]]
[4,5,2,3,8,1,6,7]=>[4,5,2,3,1,6,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[3,2,5,4,8,1,6,7]=>[3,2,5,4,1,6,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[4,5,2,3,1,8,7,6]=>[4,5,2,3,1,7,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[6,4,3,1,2,8,7,5]=>[6,4,3,1,2,7,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[7,4,3,1,8,2,6,5]=>[7,4,3,1,2,6,5]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[8,4,3,1,7,6,2,5]=>[4,3,1,7,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[1,5,8,3,7,6,4,2]=>[1,5,3,7,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[8,5,1,3,7,6,2,4]=>[5,1,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[7,5,1,3,8,2,6,4]=>[7,5,1,3,2,6,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[6,5,1,3,2,8,7,4]=>[6,5,1,3,2,7,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[5,6,1,2,3,8,7,4]=>[5,6,1,2,3,7,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[4,6,2,1,3,8,7,5]=>[4,6,2,1,3,7,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[3,2,6,1,4,8,7,5]=>[3,2,6,1,4,7,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,2,7,1,8,4,6,5]=>[3,2,7,1,4,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[4,7,2,1,8,3,6,5]=>[4,7,2,1,3,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[5,7,1,2,8,3,6,4]=>[5,7,1,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[6,7,1,8,2,3,5,4]=>[6,7,1,2,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[7,6,1,8,3,2,5,4]=>[7,6,1,3,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[8,6,1,7,3,5,2,4]=>[6,1,7,3,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[1,6,8,7,3,5,4,2]=>[1,6,7,3,5,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[1,7,8,6,5,3,4,2]=>[1,7,6,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[8,7,1,6,5,3,2,4]=>[7,1,6,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[7,8,1,6,5,2,3,4]=>[7,1,6,5,2,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[6,8,1,7,2,5,3,4]=>[6,1,7,2,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[5,8,1,2,7,6,3,4]=>[5,1,2,7,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[4,8,2,1,7,6,3,5]=>[4,2,1,7,6,3,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[3,2,8,1,7,6,4,5]=>[3,2,1,7,6,4,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[4,1,2,8,7,6,5,3]=>[4,1,2,7,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[5,1,8,2,7,6,4,3]=>[5,1,2,7,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[6,1,8,7,2,5,4,3]=>[6,1,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[7,1,8,6,5,2,4,3]=>[7,1,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[8,1,7,6,5,4,2,3]=>[1,7,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[3,1,2,6,5,8,7,4]=>[3,1,2,6,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[3,1,6,2,4,8,7,5]=>[3,1,6,2,4,7,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[3,1,5,2,4,8,7,6]=>[3,1,5,2,4,7,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[4,5,1,2,3,8,7,6]=>[4,5,1,2,3,7,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[4,6,1,2,3,8,7,5]=>[4,6,1,2,3,7,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[1,6,5,3,4,8,7,2]=>[1,6,5,3,4,7,2]=>[[1,2,4,7],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7]]
[6,1,5,2,4,8,7,3]=>[6,1,5,2,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[6,5,1,2,3,8,7,4]=>[6,5,1,2,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[6,4,1,2,3,8,7,5]=>[6,4,1,2,3,7,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[5,4,1,2,3,8,7,6]=>[5,4,1,2,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[5,4,1,2,7,3,6,8]=>[5,4,1,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[6,4,1,7,2,3,5,8]=>[6,4,1,7,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[6,4,1,8,2,3,5,7]=>[6,4,1,2,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[7,4,1,2,8,3,6,5]=>[7,4,1,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[7,5,1,2,8,3,6,4]=>[7,5,1,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[7,1,5,2,8,4,6,3]=>[7,1,5,2,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>[[1,4,5,7],[2],[3],[6]]
[1,7,5,3,8,4,6,2]=>[1,7,5,3,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]
[1,8,5,3,7,4,6,2]=>[1,5,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[8,1,5,2,7,4,6,3]=>[1,5,2,7,4,6,3]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[8,5,1,2,7,3,6,4]=>[5,1,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[8,4,1,2,7,3,6,5]=>[4,1,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[8,4,1,7,2,3,5,6]=>[4,1,7,2,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[7,4,1,6,2,3,5,8]=>[7,4,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[8,6,1,7,2,3,5,4]=>[6,1,7,2,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[8,1,6,7,2,4,5,3]=>[1,6,7,2,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[1,8,6,7,3,4,5,2]=>[1,6,7,3,4,5,2]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[1,7,6,8,3,4,5,2]=>[1,7,6,3,4,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[7,1,6,8,2,4,5,3]=>[7,1,6,2,4,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[7,6,1,8,2,3,5,4]=>[7,6,1,2,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[4,7,1,2,8,3,6,5]=>[4,7,1,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[3,1,7,2,8,4,6,5]=>[3,1,7,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[3,1,2,7,8,5,6,4]=>[3,1,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[1,4,3,8,7,5,6,2]=>[1,4,3,7,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[4,1,2,8,7,5,6,3]=>[4,1,2,7,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[3,1,2,8,7,5,6,4]=>[3,1,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[3,1,8,2,7,4,6,5]=>[3,1,2,7,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[3,1,8,7,2,4,5,6]=>[3,1,7,2,4,5,6]=>[[1,2,4,5,6],[3,7]]=>[[1,3],[2,7],[4],[5],[6]]
[3,1,7,6,2,4,5,8]=>[3,1,7,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[4,7,1,6,2,3,5,8]=>[4,7,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[4,8,1,6,2,3,5,7]=>[4,1,6,2,3,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[4,8,1,7,2,3,5,6]=>[4,1,7,2,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[4,8,1,2,7,3,6,5]=>[4,1,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[5,8,1,2,7,3,6,4]=>[5,1,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[5,1,8,2,7,4,6,3]=>[5,1,2,7,4,6,3]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[1,5,8,3,7,4,6,2]=>[1,5,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[1,6,8,7,3,4,5,2]=>[1,6,7,3,4,5,2]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[6,1,8,7,2,4,5,3]=>[6,1,7,2,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[6,8,1,7,2,3,5,4]=>[6,1,7,2,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[6,8,7,1,2,3,4,5]=>[6,7,1,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[5,8,7,1,2,3,4,6]=>[5,7,1,2,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[5,8,6,1,2,3,4,7]=>[5,6,1,2,3,4,7]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[5,7,6,1,2,3,4,8]=>[5,7,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[7,8,1,6,2,3,5,4]=>[7,1,6,2,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[7,1,8,6,2,4,5,3]=>[7,1,6,2,4,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[1,7,8,6,3,4,5,2]=>[1,7,6,3,4,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[1,8,7,6,3,4,5,2]=>[1,7,6,3,4,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[8,1,7,6,2,4,5,3]=>[1,7,6,2,4,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[8,7,1,6,2,3,5,4]=>[7,1,6,2,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[3,2,5,1,6,4,8,7]=>[3,2,5,1,6,4,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,2,5,4,7,1,8,6]=>[3,2,5,4,7,1,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[4,2,5,3,7,6,8,1]=>[4,2,5,3,7,6,1]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[4,2,5,3,7,1,8,6]=>[4,2,5,3,7,1,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[4,2,5,3,6,1,8,7]=>[4,2,5,3,6,1,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[4,2,5,1,6,3,8,7]=>[4,2,5,1,6,3,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[3,1,5,4,6,2,8,7]=>[3,1,5,4,6,2,7]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[4,1,5,3,6,2,8,7]=>[4,1,5,3,6,2,7]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[4,3,5,1,6,2,8,7]=>[4,3,5,1,6,2,7]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[4,3,5,2,7,1,8,6]=>[4,3,5,2,7,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,3,6,2,7,5,8,1]=>[4,3,6,2,7,5,1]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,3,6,2,7,1,8,5]=>[4,3,6,2,7,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,3,6,1,7,2,8,5]=>[4,3,6,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[4,3,5,1,7,2,8,6]=>[4,3,5,1,7,2,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[3,1,5,4,7,2,8,6]=>[3,1,5,4,7,2,6]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[2,1,5,4,7,3,8,6]=>[2,1,5,4,7,3,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[3,1,5,4,7,6,8,2]=>[3,1,5,4,7,6,2]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[4,1,5,3,7,6,8,2]=>[4,1,5,3,7,6,2]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[4,3,5,1,7,6,8,2]=>[4,3,5,1,7,6,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[4,3,6,1,7,5,8,2]=>[4,3,6,1,7,5,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[4,3,6,5,7,1,8,2]=>[4,3,6,5,7,1,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[5,3,6,4,7,2,8,1]=>[5,3,6,4,7,2,1]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,3,6,4,7,1,8,2]=>[5,3,6,4,7,1,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[5,3,6,1,7,4,8,2]=>[5,3,6,1,7,4,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[5,1,6,3,7,4,8,2]=>[5,1,6,3,7,4,2]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[4,1,6,3,7,5,8,2]=>[4,1,6,3,7,5,2]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[3,1,6,4,7,5,8,2]=>[3,1,6,4,7,5,2]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[2,1,6,4,7,5,8,3]=>[2,1,6,4,7,5,3]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[2,1,6,4,7,3,8,5]=>[2,1,6,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[3,1,6,4,7,2,8,5]=>[3,1,6,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[4,1,6,3,7,2,8,5]=>[4,1,6,3,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[5,1,6,3,7,2,8,4]=>[5,1,6,3,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[5,3,6,1,7,2,8,4]=>[5,3,6,1,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[5,3,6,2,7,1,8,4]=>[5,3,6,2,7,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,3,6,2,7,4,8,1]=>[5,3,6,2,7,4,1]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,2,6,3,7,4,8,1]=>[5,2,6,3,7,4,1]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[5,2,6,3,7,1,8,4]=>[5,2,6,3,7,1,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[5,2,6,1,7,3,8,4]=>[5,2,6,1,7,3,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[4,2,5,1,7,3,8,6]=>[4,2,5,1,7,3,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[4,2,6,1,7,3,8,5]=>[4,2,6,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[4,2,6,3,7,1,8,5]=>[4,2,6,3,7,1,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[4,2,6,3,7,5,8,1]=>[4,2,6,3,7,5,1]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[3,2,6,4,7,5,8,1]=>[3,2,6,4,7,5,1]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,2,6,4,7,1,8,5]=>[3,2,6,4,7,1,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,2,6,1,7,4,8,5]=>[3,2,6,1,7,4,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,2,5,1,7,4,8,6]=>[3,2,5,1,7,4,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[3,2,4,1,7,5,8,6]=>[3,2,4,1,7,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,1,4,2,7,6,8,5]=>[3,1,4,2,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[3,2,5,1,7,6,8,4]=>[3,2,5,1,7,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,2,6,1,7,5,8,4]=>[3,2,6,1,7,5,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[3,2,6,5,7,1,8,4]=>[3,2,6,5,7,1,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[4,2,6,5,7,3,8,1]=>[4,2,6,5,7,3,1]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[4,2,6,5,7,1,8,3]=>[4,2,6,5,7,1,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[4,2,6,1,7,5,8,3]=>[4,2,6,1,7,5,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[4,2,5,1,7,6,8,3]=>[4,2,5,1,7,6,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[4,1,5,2,7,6,8,3]=>[4,1,5,2,7,6,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[3,1,5,2,7,6,8,4]=>[3,1,5,2,7,6,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[2,1,5,3,7,6,8,4]=>[2,1,5,3,7,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[2,1,6,3,7,5,8,4]=>[2,1,6,3,7,5,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[3,1,6,2,7,5,8,4]=>[3,1,6,2,7,5,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[4,1,6,2,7,5,8,3]=>[4,1,6,2,7,5,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[5,1,6,2,7,4,8,3]=>[5,1,6,2,7,4,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[5,2,6,1,7,4,8,3]=>[5,2,6,1,7,4,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[5,2,6,4,7,1,8,3]=>[5,2,6,4,7,1,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[5,2,6,4,7,3,8,1]=>[5,2,6,4,7,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,4,6,2,7,3,8,1]=>[5,4,6,2,7,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,4,6,2,7,1,8,3]=>[5,4,6,2,7,1,3]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,4,6,1,7,2,8,3]=>[5,4,6,1,7,2,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[5,1,6,4,7,2,8,3]=>[5,1,6,4,7,2,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[4,1,6,5,7,2,8,3]=>[4,1,6,5,7,2,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[3,1,6,5,7,2,8,4]=>[3,1,6,5,7,2,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[2,1,6,5,7,3,8,4]=>[2,1,6,5,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[3,1,6,5,7,4,8,2]=>[3,1,6,5,7,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[4,1,6,5,7,3,8,2]=>[4,1,6,5,7,3,2]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[5,1,6,4,7,3,8,2]=>[5,1,6,4,7,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,4,6,1,7,3,8,2]=>[5,4,6,1,7,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,4,6,3,7,1,8,2]=>[5,4,6,3,7,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[8,3,5,2,1,6,4,7]=>[3,5,2,1,6,4,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[8,6,3,5,2,4,1,7]=>[6,3,5,2,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[3,7,5,2,4,1,8,6]=>[3,7,5,2,4,1,6]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[8,3,7,5,2,4,6,1]=>[3,7,5,2,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[8,2,4,5,7,3,6,1]=>[2,4,5,7,3,6,1]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[2,4,5,7,3,1,8,6]=>[2,4,5,7,3,1,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[8,2,4,6,5,3,1,7]=>[2,4,6,5,3,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[8,2,5,4,6,1,3,7]=>[2,5,4,6,1,3,7]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[8,6,3,5,1,4,2,7]=>[6,3,5,1,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[8,6,1,4,5,3,2,7]=>[6,1,4,5,3,2,7]=>[[1,2,5,7],[3],[4],[6]]=>[[1,3,4,6],[2],[5],[7]]
[8,1,5,6,4,3,2,7]=>[1,5,6,4,3,2,7]=>[[1,2,6,7],[3],[4],[5]]=>[[1,3,4,5],[2],[6],[7]]
[5,7,4,3,2,1,8,6]=>[5,7,4,3,2,1,6]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[8,5,7,4,3,2,6,1]=>[5,7,4,3,2,6,1]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[4,6,8,3,2,7,5,1]=>[4,6,3,2,7,5,1]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,7,6,3,2,8,1,5]=>[4,7,6,3,2,1,5]=>[[1,5],[2,6],[3],[4],[7]]=>[[1,2,3,4,7],[5,6]]
[1,4,6,7,3,2,8,5]=>[1,4,6,7,3,2,5]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[5,4,7,3,1,8,2,6]=>[5,4,7,3,1,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[1,7,4,5,3,2,8,6]=>[1,7,4,5,3,2,6]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[3,7,5,1,4,2,8,6]=>[3,7,5,1,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[5,7,4,2,1,3,8,6]=>[5,7,4,2,1,3,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[8,5,7,4,2,1,6,3]=>[5,7,4,2,1,6,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[8,3,7,5,1,4,6,2]=>[3,7,5,1,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[8,4,1,7,5,3,6,2]=>[4,1,7,5,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[4,6,3,8,7,1,5,2]=>[4,6,3,7,1,5,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[1,7,4,8,6,3,5,2]=>[1,7,4,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[8,4,7,6,3,5,2,1]=>[4,7,6,3,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]=>[[1,2,3,4,7],[5,6]]
[3,6,5,8,7,4,1,2]=>[3,6,5,7,4,1,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[3,1,5,8,6,7,4,2]=>[3,1,5,6,7,4,2]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[4,8,1,6,7,3,5,2]=>[4,1,6,7,3,5,2]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[3,6,4,1,8,7,5,2]=>[3,6,4,1,7,5,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[8,2,6,1,4,7,5,3]=>[2,6,1,4,7,5,3]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[2,7,6,8,1,4,3,5]=>[2,7,6,1,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[3,7,1,6,4,8,2,5]=>[3,7,1,6,4,2,5]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[1,7,3,5,6,8,2,4]=>[1,7,3,5,6,2,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[1,3,6,7,5,8,2,4]=>[1,3,6,7,5,2,4]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[3,7,6,5,8,2,1,4]=>[3,7,6,5,2,1,4]=>[[1,4],[2,5],[3],[6],[7]]=>[[1,2,3,6,7],[4,5]]
[3,6,8,5,7,2,4,1]=>[3,6,5,7,2,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[2,3,5,7,6,8,1,4]=>[2,3,5,7,6,1,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[2,1,6,5,7,8,3,4]=>[2,1,6,5,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[4,2,7,6,8,3,1,5]=>[4,2,7,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[4,2,6,8,7,3,5,1]=>[4,2,6,7,3,5,1]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[3,8,2,4,6,7,5,1]=>[3,2,4,6,7,5,1]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[3,7,2,6,4,8,1,5]=>[3,7,2,6,4,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[3,2,6,1,4,7,8,5]=>[3,2,6,1,4,7,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[5,3,7,2,1,8,4,6]=>[5,3,7,2,1,4,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[4,7,3,2,1,5,8,6]=>[4,7,3,2,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[8,7,6,1,3,4,2,5]=>[7,6,1,3,4,2,5]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[8,5,7,3,2,1,6,4]=>[5,7,3,2,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[8,3,6,7,2,1,5,4]=>[3,6,7,2,1,5,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[3,7,8,6,2,1,5,4]=>[3,7,6,2,1,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[8,7,6,3,5,2,4,1]=>[7,6,3,5,2,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[[1,2,3,6,7],[4,5]]
[2,7,4,8,1,6,5,3]=>[2,7,4,1,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[4,6,8,2,1,7,5,3]=>[4,6,2,1,7,5,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[8,4,1,5,7,2,6,3]=>[4,1,5,7,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[8,5,3,7,1,6,2,4]=>[5,3,7,1,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[8,5,7,2,1,3,6,4]=>[5,7,2,1,3,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[8,2,6,7,1,3,5,4]=>[2,6,7,1,3,5,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[8,3,6,1,7,5,2,4]=>[3,6,1,7,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[4,6,1,8,7,2,5,3]=>[4,6,1,7,2,5,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[8,1,2,5,6,7,4,3]=>[1,2,5,6,7,4,3]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[8,2,6,5,7,4,1,3]=>[2,6,5,7,4,1,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[2,1,7,8,5,6,4,3]=>[2,1,7,5,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[8,2,5,7,6,4,3,1]=>[2,5,7,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7]]=>[[1,2,4,5,7],[3],[6]]
[2,7,6,8,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,2,5,6,7],[3,4]]
[1,7,2,5,8,6,4,3]=>[1,7,2,5,6,4,3]=>[[1,2,3,6],[4],[5],[7]]=>[[1,4,5,7],[2],[3],[6]]
[1,7,4,8,2,6,5,3]=>[1,7,4,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[3,7,8,1,6,5,2,4]=>[3,7,1,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[2,7,8,6,1,3,5,4]=>[2,7,6,1,3,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[8,7,6,3,5,1,4,2]=>[7,6,3,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4]]
[8,4,7,6,5,1,3,2]=>[4,7,6,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[[1,3,4,6,7],[2,5]]
[8,7,1,5,6,4,3,2]=>[7,1,5,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[8,1,6,7,5,4,3,2]=>[1,6,7,5,4,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[6,5,3,1,2,4,8,7]=>[6,5,3,1,2,4,7]=>[[1,2,4,7],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7]]
[4,6,3,5,1,2,8,7]=>[4,6,3,5,1,2,7]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[8,5,3,7,2,1,4,6]=>[5,3,7,2,1,4,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[6,8,1,4,5,7,3,2]=>[6,1,4,5,7,3,2]=>[[1,2,5,7],[3],[4],[6]]=>[[1,3,4,6],[2],[5],[7]]
[8,7,2,4,5,1,3,6]=>[7,2,4,5,1,3,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[3,6,2,4,5,1,8,7]=>[3,6,2,4,5,1,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[2,6,1,4,5,3,8,7]=>[2,6,1,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[6,1,2,4,5,3,8,7]=>[6,1,2,4,5,3,7]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[5,6,3,2,1,4,8,7]=>[5,6,3,2,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,4,3,6,1,2,8,7]=>[5,4,3,6,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[6,3,1,4,5,2,8,7]=>[6,3,1,4,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[3,1,6,4,5,2,8,7]=>[3,1,6,4,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[8,3,7,4,5,1,2,6]=>[3,7,4,5,1,2,6]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[5,8,7,4,2,6,3,1]=>[5,7,4,2,6,3,1]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[2,8,7,4,1,6,3,5]=>[2,7,4,1,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[8,1,7,4,2,6,3,5]=>[1,7,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[3,7,8,4,5,1,2,6]=>[3,7,4,5,1,2,6]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[2,1,8,7,5,3,4,6]=>[2,1,7,5,3,4,6]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[2,1,6,8,5,7,3,4]=>[2,1,6,5,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[5,6,3,8,1,7,2,4]=>[5,6,3,1,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[7,6,1,4,5,8,3,2]=>[7,6,1,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[3,7,6,4,5,8,2,1]=>[3,7,6,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[[1,2,3,6,7],[4],[5]]
[8,5,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[5,1,8,4,7,6,2,3]=>[5,1,4,7,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[2,5,8,4,7,6,1,3]=>[2,5,4,7,6,1,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[2,4,8,3,5,6,7,1]=>[2,4,3,5,6,7,1]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,4],[3],[5],[6],[7]]
[4,1,8,3,5,6,7,2]=>[4,1,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4]]=>[[1,3,4],[2],[5],[6],[7]]
[3,8,4,2,5,6,7,1]=>[3,4,2,5,6,7,1]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]
[8,4,1,3,5,6,7,2]=>[4,1,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4]]=>[[1,3,4],[2],[5],[6],[7]]
[7,5,8,4,3,6,1,2]=>[7,5,4,3,6,1,2]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]
[6,5,3,8,4,1,7,2]=>[6,5,3,4,1,7,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[2,1,5,8,4,6,7,3]=>[2,1,5,4,6,7,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[2,1,4,8,3,6,7,5]=>[2,1,4,3,6,7,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[6,4,3,8,2,1,7,5]=>[6,4,3,2,1,7,5]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[7,3,8,4,2,6,1,5]=>[7,3,4,2,6,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[8,3,1,2,5,6,7,4]=>[3,1,2,5,6,7,4]=>[[1,2,4,6,7],[3,5]]=>[[1,3],[2,5],[4],[6],[7]]
[3,1,8,2,5,6,7,4]=>[3,1,2,5,6,7,4]=>[[1,2,4,6,7],[3,5]]=>[[1,3],[2,5],[4],[6],[7]]
[2,3,8,1,5,6,7,4]=>[2,3,1,5,6,7,4]=>[[1,3,4,6,7],[2,5]]=>[[1,2],[3,5],[4],[6],[7]]
[4,3,8,2,5,6,7,1]=>[4,3,2,5,6,7,1]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[4,8,2,3,5,6,7,1]=>[4,2,3,5,6,7,1]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,4],[3],[5],[6],[7]]
[3,8,2,1,5,6,7,4]=>[3,2,1,5,6,7,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[2,8,1,3,5,6,7,4]=>[2,1,3,5,6,7,4]=>[[1,3,4,6,7],[2,5]]=>[[1,2],[3,5],[4],[6],[7]]
[8,1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4]=>[[1,2,3,4,6,7],[5]]=>[[1,5],[2],[3],[4],[6],[7]]
[7,8,2,4,3,6,1,5]=>[7,2,4,3,6,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[6,8,3,2,4,1,7,5]=>[6,3,2,4,1,7,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[2,1,8,3,4,6,7,5]=>[2,1,3,4,6,7,5]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[2,1,7,8,5,4,3,6]=>[2,1,7,5,4,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[5,7,3,8,1,4,2,6]=>[5,7,3,1,4,2,6]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[7,1,8,4,5,3,2,6]=>[7,1,4,5,3,2,6]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[2,7,8,4,5,3,1,6]=>[2,7,4,5,3,1,6]=>[[1,3,5,6],[2],[4],[7]]=>[[1,2,4,7],[3],[5],[6]]
[8,7,1,4,3,6,2,5]=>[7,1,4,3,6,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[3,8,7,4,2,6,1,5]=>[3,7,4,2,6,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[5,7,8,4,3,6,2,1]=>[5,7,4,3,6,2,1]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[5,6,3,8,4,2,7,1]=>[5,6,3,4,2,7,1]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[4,8,3,6,2,1,7,5]=>[4,3,6,2,1,7,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[8,6,3,1,4,2,7,5]=>[6,3,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[7,5,3,8,2,4,1,6]=>[7,5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5],[7]]=>[[1,2,3,5,7],[4],[6]]
[2,4,3,1,8,5,7,6]=>[2,4,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[4,1,3,2,6,8,7,5]=>[4,1,3,2,6,7,5]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[7,5,3,6,2,8,1,4]=>[7,5,3,6,2,1,4]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[8,6,3,5,1,2,7,4]=>[6,3,5,1,2,7,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[5,8,3,2,6,1,7,4]=>[5,3,2,6,1,7,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[4,5,3,8,6,2,7,1]=>[4,5,3,6,2,7,1]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[3,5,8,4,7,6,2,1]=>[3,5,4,7,6,2,1]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[5,8,2,4,7,6,1,3]=>[5,2,4,7,6,1,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[8,7,5,4,1,6,2,3]=>[7,5,4,1,6,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[2,7,6,4,5,8,1,3]=>[2,7,6,4,5,1,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[7,1,6,4,5,8,2,3]=>[7,1,6,4,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[5,7,3,6,1,8,2,4]=>[5,7,3,6,1,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[2,1,7,6,5,8,3,4]=>[2,1,7,6,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[2,1,8,5,3,6,7,4]=>[2,1,5,3,6,7,4]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[6,8,3,5,2,1,7,4]=>[6,3,5,2,1,7,4]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[7,8,5,4,2,6,1,3]=>[7,5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]
[8,1,4,2,5,6,7,3]=>[1,4,2,5,6,7,3]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[2,8,4,1,5,6,7,3]=>[2,4,1,5,6,7,3]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[4,8,1,2,5,6,7,3]=>[4,1,2,5,6,7,3]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[3,4,8,1,5,6,7,2]=>[3,4,1,5,6,7,2]=>[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]
[3,4,2,8,5,6,7,1]=>[3,4,2,5,6,7,1]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]
[2,4,1,8,5,6,7,3]=>[2,4,1,5,6,7,3]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[4,1,2,8,5,6,7,3]=>[4,1,2,5,6,7,3]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[8,4,2,1,5,6,7,3]=>[4,2,1,5,6,7,3]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[7,5,2,4,8,6,1,3]=>[7,5,2,4,6,1,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[6,5,3,2,8,1,7,4]=>[6,5,3,2,1,7,4]=>[[1,4],[2,7],[3],[5],[6]]=>[[1,2,3,5,6],[4,7]]
[2,1,5,3,8,6,7,4]=>[2,1,5,3,6,7,4]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[6,4,3,5,8,1,7,2]=>[6,4,3,5,1,7,2]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[7,3,5,4,8,6,1,2]=>[7,3,5,4,6,1,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[8,3,4,1,5,6,7,2]=>[3,4,1,5,6,7,2]=>[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]
[4,3,1,8,5,6,7,2]=>[4,3,1,5,6,7,2]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[3,1,4,8,5,6,7,2]=>[3,1,4,5,6,7,2]=>[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]
[6,5,3,7,2,8,4,1]=>[6,5,3,7,2,4,1]=>[[1,4],[2,7],[3],[5],[6]]=>[[1,2,3,5,6],[4,7]]
[6,3,7,4,5,8,2,1]=>[6,3,7,4,5,2,1]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[6,7,2,4,5,8,3,1]=>[6,7,2,4,5,3,1]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[5,1,7,4,8,6,3,2]=>[5,1,7,4,6,3,2]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[2,5,7,4,8,6,3,1]=>[2,5,7,4,6,3,1]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[5,6,3,7,1,8,4,2]=>[5,6,3,7,1,4,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[3,8,7,4,5,2,1,6]=>[3,7,4,5,2,1,6]=>[[1,4,5,6],[2],[3],[7]]=>[[1,2,3,7],[4],[5],[6]]
[3,7,5,4,8,6,2,1]=>[3,7,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>[[1,2,3,5,7],[4],[6]]
[5,7,1,4,8,6,2,3]=>[5,7,1,4,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[5,6,3,1,8,2,7,4]=>[5,6,3,1,2,7,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[4,6,3,5,8,2,7,1]=>[4,6,3,5,2,7,1]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,6,3,8,1,2,7,5]=>[4,6,3,1,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[3,7,8,4,1,6,2,5]=>[3,7,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[3,2,5,1,6,8,4,7]=>[3,2,5,1,6,4,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,6,2,5,4,8,1,7]=>[3,6,2,5,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[3,5,2,4,7,1,8,6]=>[3,5,2,4,7,1,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[3,5,8,2,4,7,6,1]=>[3,5,2,4,7,6,1]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[4,2,5,8,3,7,6,1]=>[4,2,5,3,7,6,1]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[4,2,6,5,3,8,1,7]=>[4,2,6,5,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[5,4,2,1,6,8,3,7]=>[5,4,2,1,6,3,7]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[6,3,5,1,4,8,2,7]=>[6,3,5,1,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[4,6,1,5,3,8,2,7]=>[4,6,1,5,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[5,1,6,4,3,8,2,7]=>[5,1,6,4,3,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,4,3,2,7,1,8,6]=>[5,4,3,2,7,1,6]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[5,4,3,8,2,7,6,1]=>[5,4,3,2,7,6,1]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[4,3,6,2,8,7,5,1]=>[4,3,6,2,7,5,1]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,3,7,6,2,1,8,5]=>[4,3,7,6,2,1,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[6,4,3,1,7,2,8,5]=>[6,4,3,1,7,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[7,5,4,3,1,8,2,6]=>[7,5,4,3,1,2,6]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[1,4,7,5,8,3,2,6]=>[1,4,7,5,3,2,6]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[7,1,3,5,8,4,2,6]=>[7,1,3,5,4,2,6]=>[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]
[7,2,5,8,4,1,3,6]=>[7,2,5,4,1,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[2,8,5,7,4,6,1,3]=>[2,5,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[3,5,8,7,1,4,6,2]=>[3,5,7,1,4,6,2]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[1,4,5,8,7,3,6,2]=>[1,4,5,7,3,6,2]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[1,5,4,8,7,3,6,2]=>[1,5,4,7,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[6,4,3,8,1,7,5,2]=>[6,4,3,1,7,5,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[4,3,7,1,8,6,5,2]=>[4,3,7,1,6,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[4,8,3,7,6,5,2,1]=>[4,3,7,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]=>[[1,2,3,4,7],[5,6]]
[5,3,8,7,6,4,2,1]=>[5,3,7,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[7,5,3,1,8,6,4,2]=>[7,5,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]
[1,8,6,5,3,7,4,2]=>[1,6,5,3,7,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[1,5,8,6,3,7,4,2]=>[1,5,6,3,7,4,2]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[4,6,1,8,7,3,5,2]=>[4,6,1,7,3,5,2]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[6,8,7,3,1,4,5,2]=>[6,7,3,1,4,5,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[6,2,8,7,4,5,1,3]=>[6,2,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[7,6,2,8,4,1,3,5]=>[7,6,2,4,1,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[7,3,1,6,8,4,2,5]=>[7,3,1,6,4,2,5]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[1,7,6,4,8,3,2,5]=>[1,7,6,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[5,7,1,6,3,2,8,4]=>[5,7,1,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[6,1,7,5,3,2,8,4]=>[6,1,7,5,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[7,6,5,3,2,1,8,4]=>[7,6,5,3,2,1,4]=>[[1,4],[2],[3],[5],[6],[7]]=>[[1,2,3,5,6,7],[4]]
[6,5,3,2,8,7,4,1]=>[6,5,3,2,7,4,1]=>[[1,4],[2,7],[3],[5],[6]]=>[[1,2,3,5,6],[4,7]]
[5,2,6,3,8,7,4,1]=>[5,2,6,3,7,4,1]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[5,2,7,6,3,1,8,4]=>[5,2,7,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[6,5,2,1,7,3,8,4]=>[6,5,2,1,7,3,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[5,2,7,4,1,8,3,6]=>[5,2,7,4,1,3,6]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[4,7,2,6,3,1,8,5]=>[4,7,2,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[2,4,8,6,3,7,5,1]=>[2,4,6,3,7,5,1]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[3,8,6,2,4,7,5,1]=>[3,6,2,4,7,5,1]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[7,3,6,2,4,1,8,5]=>[7,3,6,2,4,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[3,6,7,2,1,4,8,5]=>[3,6,7,2,1,4,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[4,3,7,8,2,1,5,6]=>[4,3,7,2,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[8,3,7,1,4,6,2,5]=>[3,7,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[3,8,2,5,7,1,6,4]=>[3,2,5,7,1,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[8,3,6,2,7,1,5,4]=>[3,6,2,7,1,5,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[7,8,3,6,2,1,5,4]=>[7,3,6,2,1,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[8,7,3,6,2,5,4,1]=>[7,3,6,2,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[[1,2,3,6,7],[4,5]]
[4,7,8,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6]]
[4,2,6,8,1,7,5,3]=>[4,2,6,1,7,5,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[5,4,8,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[4,8,1,5,7,2,6,3]=>[4,1,5,7,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[5,8,3,7,1,6,2,4]=>[5,3,7,1,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[5,8,7,2,6,1,3,4]=>[5,7,2,6,1,3,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[8,6,2,7,5,1,3,4]=>[6,2,7,5,1,3,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[3,6,8,1,7,5,2,4]=>[3,6,1,7,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[5,1,6,8,2,7,4,3]=>[5,1,6,2,7,4,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[6,5,2,8,1,7,4,3]=>[6,5,2,1,7,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[5,2,7,1,8,6,4,3]=>[5,2,7,1,6,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[5,8,2,7,6,4,3,1]=>[5,2,7,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]
[6,2,8,7,5,4,3,1]=>[6,2,7,5,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>[[1,2,4,5,6],[3,7]]
[7,6,2,1,8,5,4,3]=>[7,6,2,1,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,2,5,6,7],[3,4]]
[6,1,7,2,8,5,4,3]=>[6,1,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[7,5,1,8,2,6,4,3]=>[7,5,1,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[4,7,1,8,6,2,5,3]=>[4,7,1,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[7,8,3,1,6,5,2,4]=>[7,3,1,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[8,7,4,6,1,5,3,2]=>[7,4,6,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[[1,3,4,6,7],[2,5]]
[8,5,7,1,6,4,3,2]=>[5,7,1,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]
[6,8,1,7,5,4,3,2]=>[6,1,7,5,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>[[1,3,4,5,6],[2,7]]
[7,1,8,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2]]
[5,4,2,3,7,6,1,8]=>[5,4,2,3,7,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[6,4,2,7,3,5,1,8]=>[6,4,2,7,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[7,4,2,6,3,5,1,8]=>[7,4,2,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[8,4,2,6,3,1,5,7]=>[4,2,6,3,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[3,2,7,6,4,5,1,8]=>[3,2,7,6,4,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[4,7,2,6,3,5,1,8]=>[4,7,2,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[5,7,6,2,3,4,1,8]=>[5,7,6,2,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[1,6,5,2,3,8,4,7]=>[1,6,5,2,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[1,7,5,2,8,3,4,6]=>[1,7,5,2,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[6,8,5,2,3,1,4,7]=>[6,5,2,3,1,4,7]=>[[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]
[5,8,6,2,3,1,4,7]=>[5,6,2,3,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[4,8,2,6,3,1,5,7]=>[4,2,6,3,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[3,2,8,6,4,1,5,7]=>[3,2,6,4,1,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[3,2,1,6,4,8,5,7]=>[3,2,1,6,4,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[7,1,5,2,8,3,4,6]=>[7,1,5,2,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[1,8,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[1,8,6,7,2,3,4,5]=>[1,6,7,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[8,1,6,7,2,3,4,5]=>[1,6,7,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[7,1,6,8,2,3,4,5]=>[7,1,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[3,2,1,7,8,4,5,6]=>[3,2,1,7,4,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,2,8,7,1,4,5,6]=>[3,2,7,1,4,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[5,8,7,2,1,3,4,6]=>[5,7,2,1,3,4,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[1,7,6,8,2,3,4,5]=>[1,7,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[6,5,8,2,3,1,4,7]=>[6,5,2,3,1,4,7]=>[[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]
[8,5,7,2,1,3,4,6]=>[5,7,2,1,3,4,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[6,4,2,8,3,1,5,7]=>[6,4,2,3,1,5,7]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[5,4,2,3,8,1,6,7]=>[5,4,2,3,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,4,5],[3],[6],[7]]
[3,2,5,4,1,8,6,7]=>[3,2,5,4,1,6,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[4,5,2,3,1,8,6,7]=>[4,5,2,3,1,6,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[5,4,2,3,1,8,6,7]=>[5,4,2,3,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,4,5],[3],[6],[7]]
[6,4,2,1,3,8,5,7]=>[6,4,2,1,3,5,7]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[7,4,2,1,8,3,5,6]=>[7,4,2,1,3,5,6]=>[[1,3,5,6],[2],[4],[7]]=>[[1,2,4,7],[3],[5],[6]]
[8,4,2,1,7,3,5,6]=>[4,2,1,7,3,5,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[1,4,2,8,7,3,5,6]=>[1,4,2,7,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[1,5,8,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[8,5,1,2,7,3,4,6]=>[5,1,2,7,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[7,5,1,2,8,3,4,6]=>[7,5,1,2,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[6,5,1,2,3,8,4,7]=>[6,5,1,2,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[4,6,2,1,3,8,5,7]=>[4,6,2,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[3,2,6,1,4,8,5,7]=>[3,2,6,1,4,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[3,2,7,1,8,4,5,6]=>[3,2,7,1,4,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[4,7,2,1,8,3,5,6]=>[4,7,2,1,3,5,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[7,6,1,8,2,3,4,5]=>[7,6,1,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[8,6,1,7,2,3,4,5]=>[6,1,7,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[1,6,8,7,2,3,4,5]=>[1,6,7,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[1,7,8,6,2,3,4,5]=>[1,7,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[7,8,1,6,2,3,4,5]=>[7,1,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[6,8,1,7,2,3,4,5]=>[6,1,7,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[4,8,2,1,7,3,5,6]=>[4,2,1,7,3,5,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[3,2,8,1,7,4,5,6]=>[3,2,1,7,4,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,2,1,8,7,4,5,6]=>[3,2,1,7,4,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[5,1,8,2,7,3,4,6]=>[5,1,2,7,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[6,1,8,7,2,3,4,5]=>[6,1,7,2,3,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[8,1,7,6,2,3,4,5]=>[1,7,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[1,8,7,6,2,3,4,5]=>[1,7,6,2,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[6,3,5,1,2,4,8,7]=>[6,3,5,1,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[4,3,5,6,1,2,8,7]=>[4,3,5,6,1,2,7]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[8,3,7,5,2,1,4,6]=>[3,7,5,2,1,4,6]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[6,3,7,5,1,8,4,2]=>[6,3,7,5,1,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[6,5,2,7,1,8,3,4]=>[6,5,2,7,1,3,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[8,5,2,7,4,1,3,6]=>[5,2,7,4,1,3,6]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[2,6,1,5,4,3,8,7]=>[2,6,1,5,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[6,4,3,5,1,2,8,7]=>[6,4,3,5,1,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[5,3,1,4,6,2,8,7]=>[5,3,1,4,6,2,7]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[3,1,4,6,5,2,8,7]=>[3,1,4,6,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[5,7,4,6,2,8,3,1]=>[5,7,4,6,2,3,1]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[8,1,4,7,2,6,3,5]=>[1,4,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[3,4,7,8,5,2,1,6]=>[3,4,7,5,2,1,6]=>[[1,4,5,6],[2],[3],[7]]=>[[1,2,3,7],[4],[5],[6]]
[2,1,8,5,7,3,4,6]=>[2,1,5,7,3,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[8,6,3,5,1,7,4,2]=>[6,3,5,1,7,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[5,8,2,4,6,7,3,1]=>[5,2,4,6,7,3,1]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,4,5],[3],[6],[7]]
[3,4,8,6,5,7,1,2]=>[3,4,6,5,7,1,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[7,5,4,8,1,6,3,2]=>[7,5,4,1,6,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]
[5,1,4,6,8,2,7,3]=>[5,1,4,6,2,7,3]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[2,5,4,6,7,1,8,3]=>[2,5,4,6,7,1,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[2,4,6,3,7,5,8,1]=>[2,4,6,3,7,5,1]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[4,1,6,3,8,5,7,2]=>[4,1,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[3,7,4,2,8,6,5,1]=>[3,7,4,2,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[7,4,1,3,5,8,6,2]=>[7,4,1,3,5,6,2]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[6,5,8,4,1,7,3,2]=>[6,5,4,1,7,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>[[1,3,4,5,6],[2,7]]
[8,5,3,7,4,1,6,2]=>[5,3,7,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[2,1,4,8,3,7,6,5]=>[2,1,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[7,4,3,8,2,1,6,5]=>[7,4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4],[7]]=>[[1,2,3,4,7],[5,6]]
[6,3,7,4,1,8,2,5]=>[6,3,7,4,1,2,5]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[8,3,1,2,5,7,6,4]=>[3,1,2,5,7,6,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[3,1,8,2,7,6,5,4]=>[3,1,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[2,3,8,1,6,7,5,4]=>[2,3,1,6,7,5,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[4,3,7,2,6,8,5,1]=>[4,3,7,2,6,5,1]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[4,7,2,3,8,5,6,1]=>[4,7,2,3,5,6,1]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[3,8,2,1,7,5,6,4]=>[3,2,1,7,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[2,8,1,3,6,5,7,4]=>[2,1,3,6,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[2,7,8,5,4,3,1,6]=>[2,7,5,4,3,1,6]=>[[1,3,6],[2],[4],[5],[7]]=>[[1,2,4,5,7],[3],[6]]
[8,7,1,6,3,4,2,5]=>[7,1,6,3,4,2,5]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[3,8,6,7,2,4,1,5]=>[3,6,7,2,4,1,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[5,3,8,7,4,2,6,1]=>[5,3,7,4,2,6,1]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[4,3,8,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[8,3,6,1,4,2,7,5]=>[3,6,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[7,3,5,8,2,4,1,6]=>[7,3,5,2,4,1,6]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[2,3,4,1,8,5,7,6]=>[2,3,4,1,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[4,1,3,2,6,7,8,5]=>[4,1,3,2,6,7,5]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[8,3,5,6,2,7,1,4]=>[3,5,6,2,7,1,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[5,3,6,1,8,7,2,4]=>[5,3,6,1,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[5,6,2,8,7,4,1,3]=>[5,6,2,7,4,1,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[7,8,5,6,1,4,2,3]=>[7,5,6,1,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[2,8,6,5,4,7,1,3]=>[2,6,5,4,7,1,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[8,1,6,4,5,7,2,3]=>[1,6,4,5,7,2,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[5,8,3,6,1,7,2,4]=>[5,3,6,1,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[2,1,8,6,5,7,3,4]=>[2,1,6,5,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[2,1,7,5,3,6,8,4]=>[2,1,7,5,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[6,7,3,5,2,1,8,4]=>[6,7,3,5,2,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[7,1,4,2,5,6,8,3]=>[7,1,4,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[2,7,4,1,6,5,8,3]=>[2,7,4,1,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[4,6,1,2,8,7,3,5]=>[4,6,1,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[2,4,1,5,8,7,6,3]=>[2,4,1,5,7,6,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[4,1,2,5,8,6,7,3]=>[4,1,2,5,6,7,3]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[6,4,2,1,5,8,7,3]=>[6,4,2,1,5,7,3]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[8,5,2,4,6,1,7,3]=>[5,2,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[7,5,3,2,6,8,1,4]=>[7,5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[2,1,5,3,6,8,7,4]=>[2,1,5,3,6,7,4]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[7,3,5,4,6,1,8,2]=>[7,3,5,4,6,1,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[6,3,4,1,5,7,8,2]=>[6,3,4,1,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[4,3,1,5,7,6,8,2]=>[4,3,1,5,7,6,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[3,1,4,5,6,8,7,2]=>[3,1,4,5,6,7,2]=>[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]
[4,5,2,6,3,1,8,7]=>[4,5,2,6,3,1,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[6,5,2,1,4,3,8,7]=>[6,5,2,1,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[6,5,2,7,4,8,3,1]=>[6,5,2,7,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>[[1,2,4,5,6],[3,7]]
[8,5,2,7,4,1,6,3]=>[5,2,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[8,3,7,5,2,1,6,4]=>[3,7,5,2,1,6,4]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[6,3,7,5,2,8,4,1]=>[6,3,7,5,2,4,1]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[3,1,6,5,4,2,8,7]=>[3,1,6,5,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[5,6,3,2,4,1,8,7]=>[5,6,3,2,4,1,7]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[3,6,2,4,1,5,8,7]=>[3,6,2,4,1,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[2,6,1,3,5,4,8,7]=>[2,6,1,3,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[6,7,2,3,4,8,5,1]=>[6,7,2,3,4,5,1]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[8,7,2,3,4,1,6,5]=>[7,2,3,4,1,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[5,1,7,3,8,4,6,2]=>[5,1,7,3,4,6,2]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[2,5,7,3,8,6,4,1]=>[2,5,7,3,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[7,6,1,3,5,8,4,2]=>[7,6,1,3,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[3,6,7,4,1,8,5,2]=>[3,6,7,4,1,5,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[5,6,3,7,4,8,1,2]=>[5,6,3,7,4,1,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[2,1,6,7,4,8,5,3]=>[2,1,6,7,4,5,3]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[2,1,8,7,4,3,6,5]=>[2,1,7,4,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[5,8,3,7,4,2,6,1]=>[5,3,7,4,2,6,1]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[3,8,7,4,1,2,6,5]=>[3,7,4,1,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[7,8,1,3,5,2,6,4]=>[7,1,3,5,2,6,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[5,8,7,3,2,6,1,4]=>[5,7,3,2,6,1,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[2,8,6,3,1,5,7,4]=>[2,6,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[8,1,6,3,2,5,4,7]=>[1,6,3,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[2,8,4,1,6,3,7,5]=>[2,4,1,6,3,7,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[4,8,1,2,7,6,3,5]=>[4,1,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[3,8,4,2,5,7,1,6]=>[3,4,2,5,7,1,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[6,8,3,5,2,7,4,1]=>[6,3,5,2,7,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[2,1,5,3,8,7,6,4]=>[2,1,5,3,7,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[6,5,3,2,8,7,1,4]=>[6,5,3,2,7,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>[[1,2,3,5,6],[4,7]]
[7,5,2,4,8,1,6,3]=>[7,5,2,4,1,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[3,4,2,8,5,7,6,1]=>[3,4,2,5,7,6,1]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[2,4,1,8,7,6,5,3]=>[2,4,1,7,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[8,4,2,1,7,5,3,6]=>[4,2,1,7,5,3,6]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[4,3,1,8,6,7,5,2]=>[4,3,1,6,7,5,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[3,1,4,8,6,5,7,2]=>[3,1,4,6,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[7,1,6,5,4,8,2,3]=>[7,1,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[3,7,5,6,8,4,2,1]=>[3,7,5,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>[[1,2,3,5,7],[4],[6]]
[5,7,1,6,8,2,4,3]=>[5,7,1,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[8,6,2,5,1,7,4,3]=>[6,2,5,1,7,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[5,6,2,1,8,7,3,4]=>[5,6,2,1,7,3,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[4,6,2,5,8,3,7,1]=>[4,6,2,5,3,7,1]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[7,5,2,6,3,8,1,4]=>[7,5,2,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[4,1,2,3,6,8,7,5]=>[4,1,2,3,6,7,5]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[2,4,3,1,8,5,6,7]=>[2,4,3,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,4],[3],[5],[6],[7]]
[7,5,2,8,3,4,6,1]=>[7,5,2,3,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>[[1,2,5,7],[3],[4],[6]]
[5,6,2,8,4,3,1,7]=>[5,6,2,4,3,1,7]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[4,7,2,8,1,5,3,6]=>[4,7,2,1,5,3,6]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[8,7,2,1,4,5,6,3]=>[7,2,1,4,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[3,6,8,7,1,5,4,2]=>[3,6,7,1,5,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[5,7,8,6,3,4,1,2]=>[5,7,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]
[7,1,8,5,4,3,6,2]=>[7,1,5,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[2,7,8,4,5,3,6,1]=>[2,7,4,5,3,6,1]=>[[1,3,5,6],[2],[4],[7]]=>[[1,2,4,7],[3],[5],[6]]
[5,7,3,8,1,4,6,2]=>[5,7,3,1,4,6,2]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[2,1,7,8,5,4,6,3]=>[2,1,7,5,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[2,1,5,8,4,6,3,7]=>[2,1,5,4,6,3,7]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[6,5,3,8,4,1,2,7]=>[6,5,3,4,1,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[7,5,8,4,3,6,2,1]=>[7,5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6]]
[2,4,8,3,5,6,1,7]=>[2,4,3,5,6,1,7]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,4],[3],[5],[6],[7]]
[4,1,8,3,6,5,2,7]=>[4,1,3,6,5,2,7]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[3,4,8,1,7,2,5,6]=>[3,4,1,7,2,5,6]=>[[1,2,5,6],[3,4,7]]=>[[1,3],[2,4],[5,7],[6]]
[8,4,1,3,7,2,6,5]=>[4,1,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[3,1,8,2,4,7,6,5]=>[3,1,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[2,3,8,1,4,6,7,5]=>[2,3,1,4,6,7,5]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[4,3,8,2,5,1,7,6]=>[4,3,2,5,1,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[6,3,8,4,2,5,7,1]=>[6,3,4,2,5,7,1]=>[[1,4,5,7],[2],[3],[6]]=>[[1,2,3,6],[4],[5],[7]]
[7,4,3,8,2,5,1,6]=>[7,4,3,2,5,1,6]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[2,1,4,8,3,5,7,6]=>[2,1,4,3,5,7,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[6,8,2,4,3,5,1,7]=>[6,2,4,3,5,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[4,8,2,3,5,1,6,7]=>[4,2,3,5,1,6,7]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,4],[3],[5],[6],[7]]
[3,8,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[2,8,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,8,4,1,6,5,3,7]=>[2,4,1,6,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,8,4,1,6,5,7,3]=>[2,4,1,6,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,8,7,6,1,4,3,5]=>[2,7,6,1,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[2,8,5,6,7,4,3,1]=>[2,5,6,7,4,3,1]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,4,5],[3],[6],[7]]
[7,5,8,6,1,4,2,3]=>[7,5,6,1,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[3,5,7,6,1,4,2,8]=>[3,5,7,6,1,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[3,5,7,2,4,1,6,8]=>[3,5,7,2,4,1,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[7,5,8,2,4,1,6,3]=>[7,5,2,4,1,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[2,8,5,3,4,7,6,1]=>[2,5,3,4,7,6,1]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[2,8,5,3,4,1,7,6]=>[2,5,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[2,8,5,3,4,1,6,7]=>[2,5,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>[[1,2,5],[3],[4],[6],[7]]
[2,8,7,6,1,4,5,3]=>[2,7,6,1,4,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[2,8,5,3,6,1,7,4]=>[2,5,3,6,1,7,4]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[2,8,5,6,7,4,1,3]=>[2,5,6,7,4,1,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[2,8,5,3,4,7,1,6]=>[2,5,3,4,7,1,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[2,8,5,3,4,6,1,7]=>[2,5,3,4,6,1,7]=>[[1,3,4,6,7],[2],[5]]=>[[1,2,5],[3],[4],[6],[7]]
[2,8,5,3,4,6,7,1]=>[2,5,3,4,6,7,1]=>[[1,3,4,6,7],[2],[5]]=>[[1,2,5],[3],[4],[6],[7]]
[3,5,7,2,4,6,1,8]=>[3,5,7,2,4,6,1]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[6,5,2,7,3,1,4,8]=>[6,5,2,7,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[6,5,2,8,3,1,7,4]=>[6,5,2,3,1,7,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[6,5,2,8,3,1,4,7]=>[6,5,2,3,1,4,7]=>[[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]
[7,5,8,2,4,6,3,1]=>[7,5,2,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7]]=>[[1,2,4,5,7],[3],[6]]
[7,5,8,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]
[6,5,8,2,1,3,7,4]=>[6,5,2,1,3,7,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[3,5,6,2,1,8,7,4]=>[3,5,6,2,1,7,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,5,7,6,1,4,8,2]=>[3,5,7,6,1,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[3,5,7,2,4,1,8,6]=>[3,5,7,2,4,1,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[3,5,7,2,4,6,8,1]=>[3,5,7,2,4,6,1]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[6,5,2,7,3,1,8,4]=>[6,5,2,7,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[4,5,2,6,3,1,7,8]=>[4,5,2,6,3,1,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[4,1,2,3,7,6,8,5]=>[4,1,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[6,5,2,7,3,4,8,1]=>[6,5,2,7,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[5,1,6,7,4,3,8,2]=>[5,1,6,7,4,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,1,2,6,4,8,7,3]=>[5,1,2,6,4,7,3]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[5,1,2,8,6,4,7,3]=>[5,1,2,6,4,7,3]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[5,1,6,8,7,3,4,2]=>[5,1,6,7,3,4,2]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[6,5,2,8,3,7,4,1]=>[6,5,2,3,7,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[4,1,2,3,8,7,5,6]=>[4,1,2,3,7,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[4,1,2,3,8,6,5,7]=>[4,1,2,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[4,1,2,3,8,6,7,5]=>[4,1,2,3,6,7,5]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[4,1,2,3,7,6,5,8]=>[4,1,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[4,1,2,3,8,5,7,6]=>[4,1,2,3,5,7,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[7,1,6,8,4,3,5,2]=>[7,1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[6,1,2,8,4,5,7,3]=>[6,1,2,4,5,7,3]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[5,6,8,2,3,1,7,4]=>[5,6,2,3,1,7,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[6,5,8,2,4,3,1,7]=>[6,5,2,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3],[7]]
[6,5,8,2,4,3,7,1]=>[6,5,2,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3],[7]]
[7,5,2,8,3,4,1,6]=>[7,5,2,3,4,1,6]=>[[1,3,4,6],[2],[5],[7]]=>[[1,2,5,7],[3],[4],[6]]
[6,5,2,8,3,7,1,4]=>[6,5,2,3,7,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[6,5,2,7,3,4,1,8]=>[6,5,2,7,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[5,1,6,7,4,3,2,8]=>[5,1,6,7,4,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,1,6,8,7,3,2,4]=>[5,1,6,7,3,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[7,1,6,8,4,3,2,5]=>[7,1,6,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[5,7,8,6,3,4,2,1]=>[5,7,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[4,1,8,3,6,5,7,2]=>[4,1,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[4,1,8,3,6,2,7,5]=>[4,1,3,6,2,7,5]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[3,1,4,8,6,2,7,5]=>[3,1,4,6,2,7,5]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[3,1,4,8,6,5,2,7]=>[3,1,4,6,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[7,1,6,5,8,3,2,4]=>[7,1,6,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[4,1,6,7,8,3,2,5]=>[4,1,6,7,3,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[4,1,6,5,7,3,2,8]=>[4,1,6,5,7,3,2]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[4,5,2,6,3,7,1,8]=>[4,5,2,6,3,7,1]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[4,5,2,7,3,8,1,6]=>[4,5,2,7,3,1,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[3,5,6,2,4,8,7,1]=>[3,5,6,2,4,7,1]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,5,6,2,4,8,1,7]=>[3,5,6,2,4,1,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,7,5,6,8,4,1,2]=>[3,7,5,6,4,1,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[3,6,5,2,8,1,7,4]=>[3,6,5,2,1,7,4]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[6,1,2,5,8,4,7,3]=>[6,1,2,5,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[7,1,6,5,8,3,4,2]=>[7,1,6,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[7,5,2,6,3,8,4,1]=>[7,5,2,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[4,1,2,3,5,8,7,6]=>[4,1,2,3,5,7,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[4,1,2,3,7,8,6,5]=>[4,1,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[4,5,2,7,3,8,6,1]=>[4,5,2,7,3,6,1]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[4,1,6,7,8,3,5,2]=>[4,1,6,7,3,5,2]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[4,1,2,6,8,5,7,3]=>[4,1,2,6,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[4,1,2,5,6,8,7,3]=>[4,1,2,5,6,7,3]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[4,5,2,6,3,7,8,1]=>[4,5,2,6,3,7,1]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[7,8,5,6,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]
[7,8,4,2,1,5,3,6]=>[7,4,2,1,5,3,6]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[7,8,2,1,6,5,3,4]=>[7,2,1,6,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[6,4,1,2,5,7,3,8]=>[6,4,1,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[2,4,8,1,5,7,3,6]=>[2,4,1,5,7,3,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[4,3,8,1,7,2,5,6]=>[4,3,1,7,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[6,3,1,4,7,2,5,8]=>[6,3,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[7,8,3,4,5,1,6,2]=>[7,3,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[7,8,3,5,4,2,1,6]=>[7,3,5,4,2,1,6]=>[[1,4,6],[2],[3],[5],[7]]=>[[1,2,3,5,7],[4],[6]]
[7,8,4,1,2,3,6,5]=>[7,4,1,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[7,8,3,6,5,4,1,2]=>[7,3,6,5,4,1,2]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4]]
[7,8,2,1,5,3,4,6]=>[7,2,1,5,3,4,6]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[7,8,2,6,4,1,3,5]=>[7,2,6,4,1,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[7,8,2,5,6,4,1,3]=>[7,2,5,6,4,1,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[7,8,1,6,5,4,3,2]=>[7,1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2]]
[6,2,1,7,5,4,3,8]=>[6,2,1,7,5,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[2,1,8,7,5,4,3,6]=>[2,1,7,5,4,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[1,3,8,2,6,4,7,5]=>[1,3,2,6,4,7,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[5,3,7,1,6,4,8,2]=>[5,3,7,1,6,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]
[5,3,6,2,7,4,1,8]=>[5,3,6,2,7,4,1]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[6,1,2,5,8,7,4,3]=>[6,1,2,5,7,4,3]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[6,3,1,8,4,2,7,5]=>[6,3,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[6,4,2,1,5,3,8,7]=>[6,4,2,1,5,3,7]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[6,4,3,7,5,8,1,2]=>[6,4,3,7,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[4,3,8,7,5,6,1,2]=>[4,3,7,5,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[2,4,7,1,5,3,6,8]=>[2,4,7,1,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[1,3,7,6,4,2,8,5]=>[1,3,7,6,4,2,5]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[2,1,7,5,6,8,4,3]=>[2,1,7,5,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[3,7,2,8,6,4,1,5]=>[3,7,2,6,4,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[3,8,1,7,6,4,5,2]=>[3,1,7,6,4,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[1,8,5,7,3,6,4,2]=>[1,5,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[2,7,5,8,3,6,1,4]=>[2,7,5,3,6,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[1,5,6,8,2,4,7,3]=>[1,5,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[2,6,8,5,3,1,4,7]=>[2,6,5,3,1,4,7]=>[[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]
[2,6,1,4,7,3,5,8]=>[2,6,1,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[5,6,7,3,8,4,1,2]=>[5,6,7,3,4,1,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[5,2,8,1,4,7,3,6]=>[5,2,1,4,7,3,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[4,6,7,5,2,1,3,8]=>[4,6,7,5,2,1,3]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[4,5,6,7,2,8,1,3]=>[4,5,6,7,2,1,3]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[4,5,7,6,1,8,3,2]=>[4,5,7,6,1,3,2]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[1,5,8,6,2,7,3,4]=>[1,5,6,2,7,3,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[1,6,5,8,3,2,7,4]=>[1,6,5,3,2,7,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[4,6,5,7,1,2,8,3]=>[4,6,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[4,7,5,6,3,1,8,2]=>[4,7,5,6,3,1,2]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[5,1,6,3,4,2,8,7]=>[5,1,6,3,4,2,7]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[5,7,1,4,2,3,8,6]=>[5,7,1,4,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[5,7,6,4,3,8,1,2]=>[5,7,6,4,3,1,2]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]
[6,3,4,5,8,7,1,2]=>[6,3,4,5,7,1,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[6,2,4,1,8,3,7,5]=>[6,2,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[6,2,3,5,4,8,1,7]=>[6,2,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]
[6,1,3,4,5,8,7,2]=>[6,1,3,4,5,7,2]=>[[1,2,4,5,7],[3],[6]]=>[[1,3,6],[2],[4],[5],[7]]
[5,1,4,2,7,6,8,3]=>[5,1,4,2,7,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[1,6,2,4,7,8,3,5]=>[1,6,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[5,7,2,4,1,6,3,8]=>[5,7,2,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[6,1,4,2,8,5,3,7]=>[6,1,4,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[6,7,5,8,1,4,3,2]=>[6,7,5,1,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>[[1,3,4,5,6],[2,7]]
[5,8,7,6,3,4,1,2]=>[5,7,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]
[5,8,7,6,2,3,1,4]=>[5,7,6,2,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[4,1,7,2,6,5,3,8]=>[4,1,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[4,8,2,1,5,6,3,7]=>[4,2,1,5,6,3,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[4,2,7,8,1,6,3,5]=>[4,2,7,1,6,3,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[2,1,8,7,6,5,3,4]=>[2,1,7,6,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[3,1,4,7,8,2,6,5]=>[3,1,4,7,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[3,1,7,4,5,6,8,2]=>[3,1,7,4,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[4,2,7,1,6,3,8,5]=>[4,2,7,1,6,3,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[4,3,7,5,6,8,1,2]=>[4,3,7,5,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[4,8,6,3,5,7,1,2]=>[4,6,3,5,7,1,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[4,8,1,2,5,3,7,6]=>[4,1,2,5,3,7,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[3,8,6,5,2,4,1,7]=>[3,6,5,2,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[3,8,5,6,1,4,7,2]=>[3,5,6,1,4,7,2]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[5,3,7,8,2,1,6,4]=>[5,3,7,2,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[5,2,8,7,1,6,4,3]=>[5,2,7,1,6,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[1,6,8,7,5,2,4,3]=>[1,6,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[3,6,7,8,5,1,4,2]=>[3,6,7,5,1,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[3,7,6,8,5,2,1,4]=>[3,7,6,5,2,1,4]=>[[1,4],[2,5],[3],[6],[7]]=>[[1,2,3,6,7],[4,5]]
[3,7,8,5,1,2,4,6]=>[3,7,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[3,7,1,6,4,2,5,8]=>[3,7,1,6,4,2,5]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[4,1,8,6,2,3,5,7]=>[4,1,6,2,3,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[4,7,8,6,3,5,1,2]=>[4,7,6,3,5,1,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[3,8,7,6,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4]]
[2,1,7,6,5,3,4,8]=>[2,1,7,6,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[2,8,1,6,4,5,3,7]=>[2,1,6,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,8,7,5,1,4,3,6]=>[2,7,5,1,4,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[2,8,6,7,5,1,3,4]=>[2,6,7,5,1,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[2,7,8,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,2,5,6,7],[3,4]]
[6,3,1,2,7,4,8,5]=>[6,3,1,2,7,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[6,4,2,7,1,3,8,5]=>[6,4,2,7,1,3,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[7,4,2,5,1,3,8,6]=>[7,4,2,5,1,3,6]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[7,5,3,6,1,8,2,4]=>[7,5,3,6,1,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[8,5,3,6,1,7,2,4]=>[5,3,6,1,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[8,3,6,2,4,7,1,5]=>[3,6,2,4,7,1,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[7,3,6,2,4,8,1,5]=>[7,3,6,2,4,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[4,3,7,1,2,5,8,6]=>[4,3,7,1,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[3,6,2,7,1,4,8,5]=>[3,6,2,7,1,4,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[5,3,6,7,1,2,8,4]=>[5,3,6,7,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[6,3,7,4,1,2,8,5]=>[6,3,7,4,1,2,5]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[4,7,1,5,2,3,8,6]=>[4,7,1,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[3,7,5,1,2,4,8,6]=>[3,7,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[7,6,4,2,3,8,1,5]=>[7,6,4,2,3,1,5]=>[[1,3,5],[2],[4],[6],[7]]=>[[1,2,4,6,7],[3],[5]]
[8,6,4,2,3,7,1,5]=>[6,4,2,3,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[4,7,6,3,8,1,2,5]=>[4,7,6,3,1,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[5,7,4,2,3,8,1,6]=>[5,7,4,2,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[3,7,6,1,4,8,2,5]=>[3,7,6,1,4,2,5]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[5,7,2,6,1,8,3,4]=>[5,7,2,6,1,3,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[6,4,7,5,2,8,1,3]=>[6,4,7,5,2,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[7,4,8,5,2,6,1,3]=>[7,4,5,2,6,1,3]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[5,8,2,6,3,7,1,4]=>[5,2,6,3,7,1,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[3,8,6,1,2,7,4,5]=>[3,6,1,2,7,4,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[3,8,6,2,4,7,1,5]=>[3,6,2,4,7,1,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[6,8,4,3,7,1,2,5]=>[6,4,3,7,1,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[6,8,5,3,7,1,2,4]=>[6,5,3,7,1,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[3,8,5,7,1,2,4,6]=>[3,5,7,1,2,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[2,8,5,7,1,3,4,6]=>[2,5,7,1,3,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[4,8,6,2,7,1,3,5]=>[4,6,2,7,1,3,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[7,3,8,5,6,1,2,4]=>[7,3,5,6,1,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[6,3,7,5,8,1,2,4]=>[6,3,7,5,1,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[2,7,6,4,8,1,3,5]=>[2,7,6,4,1,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[2,6,5,8,1,3,4,7]=>[2,6,5,1,3,4,7]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[3,6,5,8,1,2,4,7]=>[3,6,5,1,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[2,5,7,4,8,1,3,6]=>[2,5,7,4,1,3,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[5,4,6,7,2,8,1,3]=>[5,4,6,7,2,1,3]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[4,6,3,7,1,8,2,5]=>[4,6,3,7,1,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[3,5,7,1,4,8,2,6]=>[3,5,7,1,4,2,6]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[5,3,7,2,4,8,1,6]=>[5,3,7,2,4,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[5,4,7,3,8,1,2,6]=>[5,4,7,3,1,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[7,4,6,3,8,1,2,5]=>[7,4,6,3,1,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[8,4,6,3,7,1,2,5]=>[4,6,3,7,1,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[8,4,1,6,7,2,3,5]=>[4,1,6,7,2,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[7,4,1,6,8,2,3,5]=>[7,4,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[5,4,1,7,8,2,3,6]=>[5,4,1,7,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[6,5,3,7,1,8,2,4]=>[6,5,3,7,1,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[6,5,1,2,7,8,3,4]=>[6,5,1,2,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[5,3,6,4,7,8,1,2]=>[5,3,6,4,7,1,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[6,3,7,4,8,5,1,2]=>[6,3,7,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[4,7,1,5,8,6,2,3]=>[4,7,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[7,5,1,2,8,6,3,4]=>[7,5,1,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[7,5,3,8,1,6,2,4]=>[7,5,3,1,6,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[7,4,1,8,6,2,3,5]=>[7,4,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[7,6,1,8,5,2,3,4]=>[7,6,1,5,2,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[8,6,1,7,5,2,3,4]=>[6,1,7,5,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[5,7,2,8,1,6,3,4]=>[5,7,2,1,6,3,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[6,4,7,8,2,5,1,3]=>[6,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[6,3,7,8,5,1,2,4]=>[6,3,7,5,1,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[3,6,8,2,7,1,4,5]=>[3,6,2,7,1,4,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[2,4,8,7,1,3,5,6]=>[2,4,7,1,3,5,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[4,3,8,7,1,2,5,6]=>[4,3,7,1,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[5,3,8,7,1,2,4,6]=>[5,3,7,1,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[8,3,7,6,1,2,4,5]=>[3,7,6,1,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[8,4,7,6,1,2,3,5]=>[4,7,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[5,4,8,7,1,2,3,6]=>[5,4,7,1,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[3,5,8,7,1,2,4,6]=>[3,5,7,1,2,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[2,5,8,7,1,3,4,6]=>[2,5,7,1,3,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[4,6,8,2,7,1,3,5]=>[4,6,2,7,1,3,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[4,7,1,8,6,2,3,5]=>[4,7,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[7,5,8,6,4,1,2,3]=>[7,5,6,4,1,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[6,8,4,7,5,1,2,3]=>[6,4,7,5,1,2,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[5,8,7,1,6,2,3,4]=>[5,7,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[2,8,7,6,1,3,4,5]=>[2,7,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[3,8,7,6,1,2,4,5]=>[3,7,6,1,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[4,8,7,6,1,2,3,5]=>[4,7,6,1,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[5,6,3,1,4,2,8,7]=>[5,6,3,1,4,2,7]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[7,5,3,8,2,1,6,4]=>[7,5,3,2,1,6,4]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[3,8,7,4,5,1,6,2]=>[3,7,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[6,7,1,4,5,8,2,3]=>[6,7,1,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[2,1,7,8,5,3,6,4]=>[2,1,7,5,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[5,7,3,8,1,2,6,4]=>[5,7,3,1,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[8,7,1,4,5,3,2,6]=>[7,1,4,5,3,2,6]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[2,7,8,4,1,6,5,3]=>[2,7,4,1,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[7,1,8,4,2,6,5,3]=>[7,1,4,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[7,5,1,4,8,6,3,2]=>[7,5,1,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[6,5,3,1,8,4,7,2]=>[6,5,3,1,4,7,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[6,4,3,8,1,5,7,2]=>[6,4,3,1,5,7,2]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[8,6,3,1,2,5,7,4]=>[6,3,1,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[8,7,1,4,2,6,5,3]=>[7,1,4,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[7,3,8,4,1,6,5,2]=>[7,3,4,1,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[2,3,4,5,6,7,8,1,9]=>[2,3,4,5,6,7,8,1]=>[[1,3,4,5,6,7,8],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8]]
[2,3,4,5,6,8,9,1,7]=>[2,3,4,5,6,8,1,7]=>[[1,3,4,5,6,7],[2,8]]=>[[1,2],[3,8],[4],[5],[6],[7]]
[2,3,4,5,7,8,9,1,6]=>[2,3,4,5,7,8,1,6]=>[[1,3,4,5,6,8],[2,7]]=>[[1,2],[3,7],[4],[5],[6],[8]]
[2,3,4,6,7,8,9,1,5]=>[2,3,4,6,7,8,1,5]=>[[1,3,4,5,7,8],[2,6]]=>[[1,2],[3,6],[4],[5],[7],[8]]
[2,3,5,6,7,8,9,1,4]=>[2,3,5,6,7,8,1,4]=>[[1,3,4,6,7,8],[2,5]]=>[[1,2],[3,5],[4],[6],[7],[8]]
[2,4,5,6,7,8,9,1,3]=>[2,4,5,6,7,8,1,3]=>[[1,3,5,6,7,8],[2,4]]=>[[1,2],[3,4],[5],[6],[7],[8]]
[3,4,5,6,7,8,9,1,2]=>[3,4,5,6,7,8,1,2]=>[[1,2,5,6,7,8],[3,4]]=>[[1,3],[2,4],[5],[6],[7],[8]]
[2,3,4,5,6,7,8,9,10,1]=>[2,3,4,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]
[2,3,4,5,6,7,8,9,1,10]=>[2,3,4,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8,9],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]
[2,3,4,5,6,7,1,8,9]=>[2,3,4,5,6,7,1,8]=>[[1,3,4,5,6,7,8],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8]]
[2,3,4,5,6,7,8,10,1,9]=>[2,3,4,5,6,7,8,1,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]
[2,3,4,5,6,1,9,7,8]=>[2,3,4,5,6,1,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8]]
[2,3,4,5,6,7,9,10,1,8]=>[2,3,4,5,6,7,9,1,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[[1,2],[3,9],[4],[5],[6],[7],[8]]
[2,3,4,5,1,8,9,6,7]=>[2,3,4,5,1,8,6,7]=>[[1,3,4,5,6,7],[2,8]]=>[[1,2],[3,8],[4],[5],[6],[7]]
[2,3,4,5,6,8,9,10,1,7]=>[2,3,4,5,6,8,9,1,7]=>[[1,3,4,5,6,7,9],[2,8]]=>[[1,2],[3,8],[4],[5],[6],[7],[9]]
[2,3,4,1,7,8,9,5,6]=>[2,3,4,1,7,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>[[1,2],[3,7],[4,8],[5],[6]]
[2,3,4,5,7,8,9,10,1,6]=>[2,3,4,5,7,8,9,1,6]=>[[1,3,4,5,6,8,9],[2,7]]=>[[1,2],[3,7],[4],[5],[6],[8],[9]]
[2,3,1,6,7,8,9,4,5]=>[2,3,1,6,7,8,4,5]=>[[1,3,4,5,8],[2,6,7]]=>[[1,2],[3,6],[4,7],[5],[8]]
[2,3,4,6,7,8,9,10,1,5]=>[2,3,4,6,7,8,9,1,5]=>[[1,3,4,5,7,8,9],[2,6]]=>[[1,2],[3,6],[4],[5],[7],[8],[9]]
[2,1,5,6,7,8,9,3,4]=>[2,1,5,6,7,8,3,4]=>[[1,3,4,7,8],[2,5,6]]=>[[1,2],[3,5],[4,6],[7],[8]]
[2,3,5,6,7,8,9,10,1,4]=>[2,3,5,6,7,8,9,1,4]=>[[1,3,4,6,7,8,9],[2,5]]=>[[1,2],[3,5],[4],[6],[7],[8],[9]]
[1,4,5,6,7,8,9,2,3]=>[1,4,5,6,7,8,2,3]=>[[1,2,3,6,7,8],[4,5]]=>[[1,4],[2,5],[3],[6],[7],[8]]
[2,4,5,6,7,8,9,10,1,3]=>[2,4,5,6,7,8,9,1,3]=>[[1,3,5,6,7,8,9],[2,4]]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]
[3,4,5,6,7,8,9,10,1,2]=>[3,4,5,6,7,8,9,1,2]=>[[1,2,5,6,7,8,9],[3,4]]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]
[3,6,4,5,7,2,8,1]=>[3,6,4,5,7,2,1]=>[[1,4,5,7],[2],[3],[6]]=>[[1,2,3,6],[4],[5],[7]]
[5,3,2,7,4,6,8,1]=>[5,3,2,7,4,6,1]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[7,5,3,6,2,4,8,1]=>[7,5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[6,3,2,5,1,8,4,7]=>[6,3,2,5,1,4,7]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[8,5,3,6,2,7,1,4]=>[5,3,6,2,7,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[8,2,6,3,4,7,1,5]=>[2,6,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[7,2,6,3,4,5,8,1]=>[7,2,6,3,4,5,1]=>[[1,3,4,5],[2],[6],[7]]=>[[1,2,6,7],[3],[4],[5]]
[6,2,7,3,4,5,8,1]=>[6,2,7,3,4,5,1]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[3,6,2,7,4,5,8,1]=>[3,6,2,7,4,5,1]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[4,2,5,7,3,6,8,1]=>[4,2,5,7,3,6,1]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[5,4,7,6,2,3,8,1]=>[5,4,7,6,2,3,1]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[6,7,3,5,2,4,8,1]=>[6,7,3,5,2,4,1]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[3,7,6,2,4,5,8,1]=>[3,7,6,2,4,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[2,7,6,3,4,5,8,1]=>[2,7,6,3,4,5,1]=>[[1,3,4,5],[2],[6],[7]]=>[[1,2,6,7],[3],[4],[5]]
[6,5,3,1,2,8,4,7]=>[6,5,3,1,2,4,7]=>[[1,2,4,7],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7]]
[8,6,5,2,3,7,1,4]=>[6,5,2,3,7,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[8,5,2,1,7,3,4,6]=>[5,2,1,7,3,4,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[7,5,2,1,8,3,4,6]=>[7,5,2,1,3,4,6]=>[[1,3,4,6],[2],[5],[7]]=>[[1,2,5,7],[3],[4],[6]]
[1,6,3,2,8,4,5,7]=>[1,6,3,2,4,5,7]=>[[1,2,4,5,7],[3],[6]]=>[[1,3,6],[2],[4],[5],[7]]
[5,7,3,1,2,8,4,6]=>[5,7,3,1,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[5,6,2,3,1,8,4,7]=>[5,6,2,3,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[4,2,6,5,1,8,3,7]=>[4,2,6,5,1,3,7]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[5,4,8,6,2,7,1,3]=>[5,4,6,2,7,1,3]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[6,8,3,5,2,7,1,4]=>[6,3,5,2,7,1,4]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[7,8,5,2,3,6,1,4]=>[7,5,2,3,6,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[6,8,2,1,7,3,4,5]=>[6,2,1,7,3,4,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[1,8,6,3,7,2,4,5]=>[1,6,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[1,8,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[2,8,1,7,3,4,5,6]=>[2,1,7,3,4,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[3,8,6,1,7,2,4,5]=>[3,6,1,7,2,4,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[4,8,1,5,7,2,3,6]=>[4,1,5,7,2,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[4,2,8,3,7,1,5,6]=>[4,2,3,7,1,5,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[4,1,7,5,8,2,3,6]=>[4,1,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[1,7,3,8,2,4,5,6]=>[1,7,3,2,4,5,6]=>[[1,2,4,5,6],[3],[7]]=>[[1,3,7],[2],[4],[5],[6]]
[8,1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[4,2,5,7,1,8,3,6]=>[4,2,5,7,1,3,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[3,6,2,7,1,8,4,5]=>[3,6,2,7,1,4,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[6,3,7,1,2,8,4,5]=>[6,3,7,1,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[7,2,6,1,8,3,4,5]=>[7,2,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[8,2,6,1,7,3,4,5]=>[2,6,1,7,3,4,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[7,3,1,5,8,2,4,6]=>[7,3,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[3,2,1,5,8,4,6,7]=>[3,2,1,5,4,6,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[5,4,1,3,6,8,2,7]=>[5,4,1,3,6,2,7]=>[[1,2,6,7],[3],[4],[5]]=>[[1,3,4,5],[2],[6],[7]]
[1,5,3,4,6,8,2,7]=>[1,5,3,4,6,2,7]=>[[1,2,4,6,7],[3],[5]]=>[[1,3,5],[2],[4],[6],[7]]
[4,3,5,1,6,8,2,7]=>[4,3,5,1,6,2,7]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[5,4,6,3,8,7,1,2]=>[5,4,6,3,7,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[3,6,4,5,8,7,1,2]=>[3,6,4,5,7,1,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[6,5,3,4,8,7,1,2]=>[6,5,3,4,7,1,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[5,3,2,8,7,1,4,6]=>[5,3,2,7,1,4,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[5,3,1,8,7,2,4,6]=>[5,3,1,7,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[8,5,3,7,6,1,2,4]=>[5,3,7,6,1,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[6,1,8,3,7,2,4,5]=>[6,1,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[6,3,8,1,7,2,4,5]=>[6,3,1,7,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[7,6,8,2,3,5,1,4]=>[7,6,2,3,5,1,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[3,7,8,2,4,6,1,5]=>[3,7,2,4,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[6,7,3,8,2,5,1,4]=>[6,7,3,2,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[5,4,7,8,2,6,1,3]=>[5,4,7,2,6,1,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[4,2,5,8,7,1,3,6]=>[4,2,5,7,1,3,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[3,6,2,8,7,1,4,5]=>[3,6,2,7,1,4,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,7,8,1,6,2,4,5]=>[3,7,1,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[2,3,8,7,1,4,5,6]=>[2,3,7,1,4,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[7,2,8,6,1,3,4,5]=>[7,2,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,1,8,7,3,4,5,6]=>[2,1,7,3,4,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[8,2,7,6,1,3,4,5]=>[2,7,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[1,2,8,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[1,3,8,7,2,4,5,6]=>[1,3,7,2,4,5,6]=>[[1,2,4,5,6],[3,7]]=>[[1,3],[2,7],[4],[5],[6]]
[1,7,8,3,6,2,4,5]=>[1,7,3,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[4,1,5,8,7,2,3,6]=>[4,1,5,7,2,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[5,4,8,7,6,1,2,3]=>[5,4,7,6,1,2,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[6,8,3,7,5,1,2,4]=>[6,3,7,5,1,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[7,8,6,2,5,1,3,4]=>[7,6,2,5,1,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[8,1,6,7,3,2,5,4]=>[1,6,7,3,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[8,1,6,7,3,2,4,5]=>[1,6,7,3,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[8,1,5,3,7,2,4,6]=>[1,5,3,7,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[8,1,5,3,6,2,4,7]=>[1,5,3,6,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[7,5,1,3,6,2,4,8]=>[7,5,1,3,6,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[7,5,8,3,6,2,4,1]=>[7,5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[7,4,8,3,2,6,5,1]=>[7,4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>[[1,2,3,4,7],[5,6]]
[7,4,1,3,2,6,5,8]=>[7,4,1,3,2,6,5]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[8,1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[8,1,4,3,2,7,5,6]=>[1,4,3,2,7,5,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[8,1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[8,1,5,4,6,7,2,3]=>[1,5,4,6,7,2,3]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[8,1,5,3,6,2,7,4]=>[1,5,3,6,2,7,4]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[8,1,4,3,2,6,7,5]=>[1,4,3,2,6,7,5]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[8,1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[8,1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>[[1,3,4],[2],[5],[6],[7]]
[7,4,1,3,2,5,6,8]=>[7,4,1,3,2,5,6]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[7,4,8,3,2,5,6,1]=>[7,4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[6,4,3,8,2,5,7,1]=>[6,4,3,2,5,7,1]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5],[7]]
[6,4,3,1,2,5,8,7]=>[6,4,3,1,2,5,7]=>[[1,2,5,7],[3],[4],[6]]=>[[1,3,4,6],[2],[5],[7]]
[7,4,1,3,2,5,8,6]=>[7,4,1,3,2,5,6]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[7,4,1,3,2,6,8,5]=>[7,4,1,3,2,6,5]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[7,5,1,3,6,2,8,4]=>[7,5,1,3,6,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[7,5,1,4,6,8,2,3]=>[7,5,1,4,6,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[7,5,8,3,6,2,1,4]=>[7,5,3,6,2,1,4]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[7,4,8,3,2,6,1,5]=>[7,4,3,2,6,1,5]=>[[1,5],[2,6],[3],[4],[7]]=>[[1,2,3,4,7],[5,6]]
[7,4,8,3,2,5,1,6]=>[7,4,3,2,5,1,6]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[6,4,3,8,2,5,1,7]=>[6,4,3,2,5,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5],[7]]
[6,4,3,7,2,5,8,1]=>[6,4,3,7,2,5,1]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[5,4,3,2,8,6,1,7]=>[5,4,3,2,6,1,7]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[5,4,3,2,8,7,1,6]=>[5,4,3,2,7,1,6]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[6,5,3,8,7,2,1,4]=>[6,5,3,7,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>[[1,2,3,5,6],[4,7]]
[6,5,4,8,7,1,2,3]=>[6,5,4,7,1,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[6,5,4,1,7,8,2,3]=>[6,5,4,1,7,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[6,5,3,1,7,2,8,4]=>[6,5,3,1,7,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[6,4,3,1,2,7,8,5]=>[6,4,3,1,2,7,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[5,4,3,2,1,8,6,7]=>[5,4,3,2,1,6,7]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[6,5,3,1,8,2,7,4]=>[6,5,3,1,2,7,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[6,5,4,1,8,7,2,3]=>[6,5,4,1,7,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[7,5,1,4,8,6,2,3]=>[7,5,1,4,6,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[7,4,1,3,2,8,6,5]=>[7,4,1,3,2,6,5]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[7,4,1,3,2,8,5,6]=>[7,4,1,3,2,5,6]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[6,4,3,1,2,8,5,7]=>[6,4,3,1,2,5,7]=>[[1,2,5,7],[3],[4],[6]]=>[[1,3,4,6],[2],[5],[7]]
[6,4,3,1,2,7,5,8]=>[6,4,3,1,2,7,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[6,4,3,8,2,7,5,1]=>[6,4,3,2,7,5,1]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[6,5,3,8,7,2,4,1]=>[6,5,3,7,2,4,1]=>[[1,4],[2,7],[3],[5],[6]]=>[[1,2,3,5,6],[4,7]]
[6,5,3,1,7,2,4,8]=>[6,5,3,1,7,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[6,5,3,1,8,2,4,7]=>[6,5,3,1,2,4,7]=>[[1,2,4,7],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7]]
[7,5,1,3,8,2,4,6]=>[7,5,1,3,2,4,6]=>[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]
[7,6,1,8,3,2,4,5]=>[7,6,1,3,2,4,5]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[7,6,1,8,4,5,2,3]=>[7,6,1,4,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[7,6,8,1,4,5,2,3]=>[7,6,1,4,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[7,6,8,1,3,2,5,4]=>[7,6,1,3,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[6,5,3,7,8,2,4,1]=>[6,5,3,7,2,4,1]=>[[1,4],[2,7],[3],[5],[6]]=>[[1,2,3,5,6],[4,7]]
[6,4,3,7,2,8,5,1]=>[6,4,3,7,2,5,1]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[6,4,3,7,2,1,5,8]=>[6,4,3,7,2,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[7,4,8,3,2,1,5,6]=>[7,4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[7,4,8,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4],[7]]=>[[1,2,3,4,7],[5,6]]
[7,5,8,3,1,2,6,4]=>[7,5,3,1,2,6,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[7,5,8,4,1,6,2,3]=>[7,5,4,1,6,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[6,5,4,8,1,7,2,3]=>[6,5,4,1,7,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[6,5,3,8,1,2,7,4]=>[6,5,3,1,2,7,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[5,4,3,2,8,1,7,6]=>[5,4,3,2,1,7,6]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[6,4,3,7,2,1,8,5]=>[6,4,3,7,2,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[6,5,3,7,1,2,8,4]=>[6,5,3,7,1,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[6,5,4,7,1,8,2,3]=>[6,5,4,7,1,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[6,5,3,7,8,2,1,4]=>[6,5,3,7,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>[[1,2,3,5,6],[4,7]]
[6,4,3,7,2,8,1,5]=>[6,4,3,7,2,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[5,4,3,2,7,8,1,6]=>[5,4,3,2,7,1,6]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[5,4,3,2,6,8,1,7]=>[5,4,3,2,6,1,7]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[5,6,2,1,3,4,8,7]=>[5,6,2,1,3,4,7]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[5,8,2,7,4,1,3,6]=>[5,2,7,4,1,3,6]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[5,3,7,8,2,1,4,6]=>[5,3,7,2,1,4,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[7,6,1,2,5,8,3,4]=>[7,6,1,2,5,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[2,1,7,8,4,3,5,6]=>[2,1,7,4,3,5,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[8,3,7,4,1,5,6,2]=>[3,7,4,1,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[7,8,1,2,5,4,6,3]=>[7,1,2,5,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>[[1,4,5,7],[2],[3],[6]]
[2,6,8,3,1,4,7,5]=>[2,6,3,1,4,7,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[6,1,8,3,2,4,5,7]=>[6,1,3,2,4,5,7]=>[[1,2,4,5,7],[3],[6]]=>[[1,3,6],[2],[4],[5],[7]]
[8,4,1,3,7,6,2,5]=>[4,1,3,7,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[5,8,7,4,2,1,6,3]=>[5,7,4,2,1,6,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[7,5,1,6,8,3,4,2]=>[7,5,1,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[6,5,2,1,8,7,4,3]=>[6,5,2,1,7,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[4,7,2,8,1,3,6,5]=>[4,7,2,1,3,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[7,3,8,6,1,2,5,4]=>[7,3,6,1,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[3,4,7,1,8,2,6,5]=>[3,4,7,1,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[1,8,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[[1,4],[2],[3],[5],[6],[7]]
[1,7,2,4,3,5,6,8]=>[1,7,2,4,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>[[1,4,7],[2],[3],[5],[6]]
[1,6,2,4,3,5,7,8]=>[1,6,2,4,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[1,5,2,4,3,6,7,8]=>[1,5,2,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[1,6,2,5,3,4,7,8]=>[1,6,2,5,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[1,7,2,5,3,4,6,8]=>[1,7,2,5,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[1,8,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[[1,2,3,4,6,7],[5]]=>[[1,5],[2],[3],[4],[6],[7]]
[1,8,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[[1,2,3,4,5,7],[6]]=>[[1,6],[2],[3],[4],[5],[7]]
[1,7,2,6,3,4,5,8]=>[1,7,2,6,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[1,8,2,7,3,5,4,6]=>[1,2,7,3,5,4,6]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[1,7,2,8,3,5,4,6]=>[1,7,2,3,5,4,6]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[1,6,2,8,3,5,4,7]=>[1,6,2,3,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[1,5,2,8,3,6,4,7]=>[1,5,2,3,6,4,7]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[1,4,2,8,3,6,5,7]=>[1,4,2,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[1,3,2,8,4,6,5,7]=>[1,3,2,4,6,5,7]=>[[1,2,4,5,7],[3,6]]=>[[1,3],[2,6],[4],[5],[7]]
[1,2,3,8,4,6,5,7]=>[1,2,3,4,6,5,7]=>[[1,2,3,4,5,7],[6]]=>[[1,6],[2],[3],[4],[5],[7]]
[1,2,3,7,4,6,5,8]=>[1,2,3,7,4,6,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[1,3,2,7,4,6,5,8]=>[1,3,2,7,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[1,4,2,7,3,6,5,8]=>[1,4,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[1,5,2,7,3,6,4,8]=>[1,5,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[1,6,2,7,3,5,4,8]=>[1,6,2,7,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[1,7,2,6,3,5,4,8]=>[1,7,2,6,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[1,8,2,6,3,5,4,7]=>[1,2,6,3,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[1,8,2,5,3,6,4,7]=>[1,2,5,3,6,4,7]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[1,7,2,5,3,6,4,8]=>[1,7,2,5,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[1,6,2,5,3,7,4,8]=>[1,6,2,5,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[1,5,2,4,3,7,6,8]=>[1,5,2,4,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[1,6,2,4,3,7,5,8]=>[1,6,2,4,3,7,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[1,7,2,4,3,6,5,8]=>[1,7,2,4,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[1,8,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[1,8,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[[1,2,3,4,5,7],[6]]=>[[1,6],[2],[3],[4],[5],[7]]
[1,7,2,3,4,6,5,8]=>[1,7,2,3,4,6,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[1,8,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[1,8,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[1,7,2,4,3,8,5,6]=>[1,7,2,4,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>[[1,4,7],[2],[3],[5],[6]]
[1,6,2,4,3,8,5,7]=>[1,6,2,4,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[1,5,2,4,3,8,6,7]=>[1,5,2,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[1,6,2,5,3,8,4,7]=>[1,6,2,5,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[1,7,2,5,3,8,4,6]=>[1,7,2,5,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[1,8,2,5,3,7,4,6]=>[1,2,5,3,7,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[1,8,2,6,3,7,4,5]=>[1,2,6,3,7,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[1,7,2,6,3,8,4,5]=>[1,7,2,6,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[1,2,3,8,4,7,5,6]=>[1,2,3,4,7,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[1,3,2,8,4,7,5,6]=>[1,3,2,4,7,5,6]=>[[1,2,4,5,6],[3,7]]=>[[1,3],[2,7],[4],[5],[6]]
[1,4,2,8,3,7,5,6]=>[1,4,2,3,7,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[1,5,2,8,3,7,4,6]=>[1,5,2,3,7,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[1,6,2,8,3,7,4,5]=>[1,6,2,3,7,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[1,7,2,8,3,6,4,5]=>[1,7,2,3,6,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[1,8,2,7,3,6,4,5]=>[1,2,7,3,6,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[4,6,3,7,2,5,1,8]=>[4,6,3,7,2,5,1]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,6,3,7,5,2,1,8]=>[4,6,3,7,5,2,1]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,6,3,8,5,1,7,2]=>[4,6,3,5,1,7,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[4,6,3,8,5,1,2,7]=>[4,6,3,5,1,2,7]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[5,6,8,3,4,1,2,7]=>[5,6,3,4,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[5,6,8,3,4,1,7,2]=>[5,6,3,4,1,7,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[4,6,2,7,5,3,1,8]=>[4,6,2,7,5,3,1]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[5,6,7,2,4,3,1,8]=>[5,6,7,2,4,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,6,8,4,3,1,7,2]=>[5,6,4,3,1,7,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,6,8,4,3,1,2,7]=>[5,6,4,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,7,8,4,1,6,2,3]=>[5,7,4,1,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[5,7,8,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[5,7,8,4,1,3,6,2]=>[5,7,4,1,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[5,6,8,4,2,1,7,3]=>[5,6,4,2,1,7,3]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,6,8,2,4,1,7,3]=>[5,6,2,4,1,7,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[4,6,2,8,5,1,7,3]=>[4,6,2,5,1,7,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[3,2,6,8,5,1,7,4]=>[3,2,6,5,1,7,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[3,2,6,8,5,1,4,7]=>[3,2,6,5,1,4,7]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[4,6,2,8,5,1,3,7]=>[4,6,2,5,1,3,7]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[5,6,8,2,4,1,3,7]=>[5,6,2,4,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[5,6,8,4,2,1,3,7]=>[5,6,4,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,7,8,4,1,3,2,6]=>[5,7,4,1,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[5,7,8,4,1,2,6,3]=>[5,7,4,1,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[5,7,8,4,1,2,3,6]=>[5,7,4,1,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[6,7,8,1,5,2,3,4]=>[6,7,1,5,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[6,7,8,1,5,2,4,3]=>[6,7,1,5,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[6,7,8,1,5,3,2,4]=>[6,7,1,5,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[6,7,8,1,3,5,2,4]=>[6,7,1,3,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[5,7,8,2,1,6,3,4]=>[5,7,2,1,6,3,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[4,7,2,8,1,6,3,5]=>[4,7,2,1,6,3,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[3,2,7,8,1,6,4,5]=>[3,2,7,1,6,4,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,2,7,8,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[4,7,2,8,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6]]
[5,7,8,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[6,7,8,1,3,5,4,2]=>[6,7,1,3,5,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[6,7,8,1,5,3,4,2]=>[6,7,1,5,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[6,7,8,1,5,4,3,2]=>[6,7,1,5,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>[[1,3,4,5,6],[2,7]]
[6,7,8,1,5,4,2,3]=>[6,7,1,5,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[6,7,8,1,4,5,2,3]=>[6,7,1,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[6,7,8,1,4,5,3,2]=>[6,7,1,4,5,3,2]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[6,7,8,1,4,3,5,2]=>[6,7,1,4,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[6,7,8,1,3,4,5,2]=>[6,7,1,3,4,5,2]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[5,7,8,2,1,4,6,3]=>[5,7,2,1,4,6,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[4,7,2,8,1,5,6,3]=>[4,7,2,1,5,6,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[3,2,7,8,1,5,6,4]=>[3,2,7,1,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,2,6,8,4,1,7,5]=>[3,2,6,4,1,7,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[4,6,2,8,3,1,7,5]=>[4,6,2,3,1,7,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[5,6,8,3,2,1,7,4]=>[5,6,3,2,1,7,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,7,8,3,1,4,6,2]=>[5,7,3,1,4,6,2]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[5,7,8,3,1,6,4,2]=>[5,7,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]
[5,7,8,3,1,6,2,4]=>[5,7,3,1,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[4,7,3,8,1,6,2,5]=>[4,7,3,1,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[4,7,3,8,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[4,7,3,8,1,5,6,2]=>[4,7,3,1,5,6,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[4,6,3,8,2,1,7,5]=>[4,6,3,2,1,7,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,5,3,2,8,1,7,6]=>[4,5,3,2,1,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,5,2,3,8,1,7,6]=>[4,5,2,3,1,7,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[3,2,5,4,8,1,7,6]=>[3,2,5,4,1,7,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[4,5,3,2,8,1,6,7]=>[4,5,3,2,1,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[4,6,3,8,2,1,5,7]=>[4,6,3,2,1,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,7,3,8,1,5,2,6]=>[4,7,3,1,5,2,6]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[4,7,3,8,1,2,6,5]=>[4,7,3,1,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[4,7,3,8,1,2,5,6]=>[4,7,3,1,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[5,7,8,3,1,2,4,6]=>[5,7,3,1,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[5,7,8,3,1,2,6,4]=>[5,7,3,1,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[5,7,8,3,1,4,2,6]=>[5,7,3,1,4,2,6]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[5,6,8,3,2,1,4,7]=>[5,6,3,2,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[3,2,7,8,1,5,4,6]=>[3,2,7,1,5,4,6]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[5,7,8,2,1,4,3,6]=>[5,7,2,1,4,3,6]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[6,7,8,1,3,4,2,5]=>[6,7,1,3,4,2,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[6,7,8,1,4,3,2,5]=>[6,7,1,4,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[6,7,8,1,4,2,5,3]=>[6,7,1,4,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[6,7,8,1,4,2,3,5]=>[6,7,1,4,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[6,7,8,1,2,5,3,4]=>[6,7,1,2,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[6,7,8,1,2,5,4,3]=>[6,7,1,2,5,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[6,7,8,1,2,4,5,3]=>[6,7,1,2,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[6,7,8,1,3,2,5,4]=>[6,7,1,3,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[5,7,8,2,1,3,6,4]=>[5,7,2,1,3,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[3,2,7,8,1,4,6,5]=>[3,2,7,1,4,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[6,7,8,1,3,2,4,5]=>[6,7,1,3,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[6,7,8,1,2,4,3,5]=>[6,7,1,2,4,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[6,7,8,1,2,3,5,4]=>[6,7,1,2,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[7,2,8,5,1,6,4,3]=>[7,2,5,1,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[1,3,7,5,2,6,4,8]=>[1,3,7,5,2,6,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[1,3,7,5,4,2,6,8]=>[1,3,7,5,4,2,6]=>[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]
[7,2,8,5,4,1,6,3]=>[7,2,5,4,1,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[2,8,5,4,3,1,7,6]=>[2,5,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[2,8,4,5,6,1,7,3]=>[2,4,5,6,1,7,3]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[2,8,6,5,7,3,1,4]=>[2,6,5,7,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[2,8,4,5,3,7,1,6]=>[2,4,5,3,7,1,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[2,8,4,3,5,6,1,7]=>[2,4,3,5,6,1,7]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,4],[3],[5],[6],[7]]
[7,2,8,4,5,6,1,3]=>[7,2,4,5,6,1,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[1,6,3,7,5,2,4,8]=>[1,6,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[6,2,3,8,5,1,7,4]=>[6,2,3,5,1,7,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[6,3,2,8,5,1,4,7]=>[6,3,2,5,1,4,7]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[7,4,8,2,5,6,3,1]=>[7,4,2,5,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[7,4,8,5,2,1,3,6]=>[7,4,5,2,1,3,6]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[6,4,8,5,1,3,7,2]=>[6,4,5,1,3,7,2]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[6,3,7,5,2,1,8,4]=>[6,3,7,5,2,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[4,3,7,5,1,2,8,6]=>[4,3,7,5,1,2,6]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[4,3,7,1,5,6,8,2]=>[4,3,7,1,5,6,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[3,6,1,7,5,2,8,4]=>[3,6,1,7,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[3,4,1,2,7,6,8,5]=>[3,4,1,2,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[3,4,2,1,7,5,8,6]=>[3,4,2,1,7,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,6,5,7,1,4,8,2]=>[3,6,5,7,1,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[6,5,2,7,4,1,8,3]=>[6,5,2,7,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[3,5,2,6,4,8,7,1]=>[3,5,2,6,4,7,1]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[5,3,1,8,6,4,7,2]=>[5,3,1,6,4,7,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[5,6,1,8,7,2,4,3]=>[5,6,1,7,2,4,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[6,3,5,8,2,7,4,1]=>[6,3,5,2,7,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[6,5,8,4,2,3,7,1]=>[6,5,4,2,3,7,1]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3],[7]]
[6,2,5,8,3,7,1,4]=>[6,2,5,3,7,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[1,6,5,7,3,4,2,8]=>[1,6,5,7,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[1,5,2,7,4,6,3,8]=>[1,5,2,7,4,6,3]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[5,2,1,8,7,6,3,4]=>[5,2,1,7,6,3,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[7,1,3,8,4,6,2,5]=>[7,1,3,4,6,2,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[2,3,4,8,6,1,7,5]=>[2,3,4,6,1,7,5]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[2,3,4,8,6,5,1,7]=>[2,3,4,6,5,1,7]=>[[1,3,4,5,7],[2],[6]]=>[[1,2,6],[3],[4],[5],[7]]
[2,7,3,5,8,6,1,4]=>[2,7,3,5,6,1,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[3,2,4,7,8,6,1,5]=>[3,2,4,7,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[1,5,4,6,2,7,3,8]=>[1,5,4,6,2,7,3]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[5,2,4,7,1,8,3,6]=>[5,2,4,7,1,3,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[5,3,6,4,1,8,7,2]=>[5,3,6,4,1,7,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[5,3,6,1,4,8,2,7]=>[5,3,6,1,4,2,7]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[7,3,5,6,8,4,2,1]=>[7,3,5,6,4,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>[[1,2,3,5,7],[4],[6]]
[6,3,5,1,8,2,7,4]=>[6,3,5,1,2,7,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[2,6,1,5,8,4,7,3]=>[2,6,1,5,4,7,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[2,7,6,5,8,3,4,1]=>[2,7,6,5,3,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4]]
[5,7,1,6,3,8,4,2]=>[5,7,1,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[3,2,4,1,7,8,5,6]=>[3,2,4,1,7,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,1,4,2,7,8,6,5]=>[3,1,4,2,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[5,1,4,7,2,8,6,3]=>[5,1,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[3,6,4,7,8,2,5,1]=>[3,6,4,7,2,5,1]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[3,1,4,6,8,5,7,2]=>[3,1,4,6,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[6,3,4,5,7,1,8,2]=>[6,3,4,5,7,1,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[2,5,4,6,1,7,8,3]=>[2,5,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[7,2,1,4,3,6,5,8]=>[7,2,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[7,3,4,1,2,6,5,8]=>[7,3,4,1,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[7,4,3,2,1,6,5,8]=>[7,4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4],[7]]=>[[1,2,3,4,7],[5,6]]
[7,6,3,2,5,4,1,8]=>[7,6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[[1,2,3,6,7],[4,5]]
[6,7,3,2,5,4,8,1]=>[6,7,3,2,5,4,1]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[1,8,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[1,8,4,5,2,3,7,6]=>[1,4,5,2,3,7,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[7,3,5,1,6,2,4,8]=>[7,3,5,1,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[7,2,1,5,6,3,4,8]=>[7,2,1,5,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[7,2,1,6,5,4,3,8]=>[7,2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,2,5,6,7],[3,4]]
[7,3,6,1,5,4,2,8]=>[7,3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4]]
[7,4,6,5,1,3,2,8]=>[7,4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[[1,3,4,6,7],[2,5]]
[1,8,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[1,8,6,4,3,7,2,5]=>[1,6,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[6,5,7,4,3,1,8,2]=>[6,5,7,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>[[1,3,4,5,6],[2,7]]
[6,4,7,5,1,3,8,2]=>[6,4,7,5,1,3,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[6,3,7,1,5,4,8,2]=>[6,3,7,1,5,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[6,2,1,7,5,4,8,3]=>[6,2,1,7,5,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[3,2,1,8,5,4,7,6]=>[3,2,1,5,4,7,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[2,3,8,1,5,4,7,6]=>[2,3,1,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[2,4,8,5,1,3,7,6]=>[2,4,5,1,3,7,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[2,5,8,4,3,1,7,6]=>[2,5,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[2,6,8,4,3,7,1,5]=>[2,6,4,3,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[2,7,8,4,3,6,5,1]=>[2,7,4,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[1,8,7,4,3,6,5,2]=>[1,7,4,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[1,8,7,5,6,3,4,2]=>[1,7,5,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[2,7,8,5,6,3,4,1]=>[2,7,5,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[2,6,8,5,7,3,1,4]=>[2,6,5,7,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[2,5,8,6,7,1,3,4]=>[2,5,6,7,1,3,4]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[2,4,8,6,1,7,3,5]=>[2,4,6,1,7,3,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[3,2,1,8,6,7,4,5]=>[3,2,1,6,7,4,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[5,2,1,7,6,8,4,3]=>[5,2,1,7,6,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[5,3,7,1,6,8,4,2]=>[5,3,7,1,6,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]
[5,4,7,6,1,8,3,2]=>[5,4,7,6,1,3,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[4,5,7,6,8,1,3,2]=>[4,5,7,6,1,3,2]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[4,6,7,5,8,3,1,2]=>[4,6,7,5,3,1,2]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[1,8,6,5,7,3,2,4]=>[1,6,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[1,8,5,6,7,2,3,4]=>[1,5,6,7,2,3,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[4,7,5,6,8,2,3,1]=>[4,7,5,6,2,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[4,6,5,7,8,2,1,3]=>[4,6,5,7,2,1,3]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[5,4,6,7,1,8,2,3]=>[5,4,6,7,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[5,3,6,1,7,8,2,4]=>[5,3,6,1,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[5,2,1,6,7,8,3,4]=>[5,2,1,6,7,3,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[6,2,1,5,7,3,8,4]=>[6,2,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[6,3,5,1,7,2,8,4]=>[6,3,5,1,7,2,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[6,4,5,7,1,2,8,3]=>[6,4,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[6,5,4,7,2,1,8,3]=>[6,5,4,7,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>[[1,2,4,5,6],[3,7]]
[5,6,4,7,2,8,1,3]=>[5,6,4,7,2,1,3]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[1,8,4,6,2,7,3,5]=>[1,4,6,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[1,8,3,2,6,7,4,5]=>[1,3,2,6,7,4,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[5,7,3,2,6,8,4,1]=>[5,7,3,2,6,4,1]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[5,6,3,2,7,8,1,4]=>[5,6,3,2,7,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[6,5,3,2,7,1,8,4]=>[6,5,3,2,7,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>[[1,2,3,5,6],[4,7]]
[6,4,3,2,1,7,8,5]=>[6,4,3,2,1,7,5]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[6,2,1,4,3,7,8,5]=>[6,2,1,4,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[5,2,1,4,3,8,7,6]=>[5,2,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[5,3,4,1,2,8,7,6]=>[5,3,4,1,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[4,6,3,2,8,7,1,5]=>[4,6,3,2,7,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,7,3,2,8,6,5,1]=>[4,7,3,2,6,5,1]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[1,8,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[1,8,4,7,2,6,5,3]=>[1,4,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[3,7,4,8,2,6,5,1]=>[3,7,4,2,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[3,6,4,8,2,7,1,5]=>[3,6,4,2,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[3,5,4,8,2,1,7,6]=>[3,5,4,2,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[3,4,5,8,1,2,7,6]=>[3,4,5,1,2,7,6]=>[[1,2,5,6],[3,4,7]]=>[[1,3],[2,4],[5,7],[6]]
[4,3,5,1,8,2,7,6]=>[4,3,5,1,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[4,2,1,5,8,3,7,6]=>[4,2,1,5,3,7,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[4,2,1,6,8,7,3,5]=>[4,2,1,6,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[4,3,6,1,8,7,2,5]=>[4,3,6,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[3,4,6,8,1,7,2,5]=>[3,4,6,1,7,2,5]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[3,5,6,8,7,1,2,4]=>[3,5,6,7,1,2,4]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[3,6,5,8,7,2,1,4]=>[3,6,5,7,2,1,4]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[3,7,5,8,6,2,4,1]=>[3,7,5,6,2,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[1,8,5,7,6,2,4,3]=>[1,5,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[1,8,6,7,5,4,2,3]=>[1,6,7,5,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[3,6,7,8,5,4,1,2]=>[3,6,7,5,4,1,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[3,5,7,8,6,1,4,2]=>[3,5,7,6,1,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[3,4,7,8,1,6,5,2]=>[3,4,7,1,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[4,2,1,7,8,6,5,3]=>[4,2,1,7,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6]]
[2,3,8,1,7,6,5,4]=>[2,3,1,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[2,4,8,7,1,6,5,3]=>[2,4,7,1,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[2,5,8,7,6,1,4,3]=>[2,5,7,6,1,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[2,6,8,7,5,4,1,3]=>[2,6,7,5,4,1,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[[1,11],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[[1,2,3,4,5,6,7,8,9,10],[11]]
[12,11,10,9,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10],[11]]=>[[1,2,3,4,5,6,7,8,9,10,11]]
[7,4,6,1,8,3,5,2]=>[7,4,6,1,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[8,3,5,1,7,4,6,2]=>[3,5,1,7,4,6,2]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[8,3,4,1,7,5,6,2]=>[3,4,1,7,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[4,8,3,1,7,5,6,2]=>[4,3,1,7,5,6,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[4,6,2,1,7,5,8,3]=>[4,6,2,1,7,5,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[1,4,6,2,7,5,8,3]=>[1,4,6,2,7,5,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[1,7,5,2,6,8,4,3]=>[1,7,5,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[7,5,2,1,6,8,4,3]=>[7,5,2,1,6,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[6,8,4,3,1,7,5,2]=>[6,4,3,1,7,5,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[3,6,8,4,1,7,5,2]=>[3,6,4,1,7,5,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[3,6,7,5,1,8,4,2]=>[3,6,7,5,1,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[7,5,6,1,8,3,4,2]=>[7,5,6,1,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[3,4,6,5,7,1,8,2]=>[3,4,6,5,7,1,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[4,7,5,6,1,8,3,2]=>[4,7,5,6,1,3,2]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[6,7,5,1,8,4,3,2]=>[6,7,5,1,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>[[1,3,4,5,6],[2,7]]
[6,8,4,1,7,5,3,2]=>[6,4,1,7,5,3,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[6,7,5,3,1,8,4,2]=>[6,7,5,3,1,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[8,4,2,1,6,7,5,3]=>[4,2,1,6,7,5,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[1,8,4,2,6,7,5,3]=>[1,4,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[1,5,3,2,7,6,8,4]=>[1,5,3,2,7,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[5,3,2,1,7,6,8,4]=>[5,3,2,1,7,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[2,5,3,1,7,6,8,4]=>[2,5,3,1,7,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[2,8,4,1,6,7,5,3]=>[2,4,1,6,7,5,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,7,5,1,6,8,4,3]=>[2,7,5,1,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[2,4,6,1,7,5,8,3]=>[2,4,6,1,7,5,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[4,7,1,6,5,8,2,3]=>[4,7,1,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[4,8,2,6,5,7,1,3]=>[4,2,6,5,7,1,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[4,6,1,2,7,5,8,3]=>[4,6,1,2,7,5,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[7,5,1,2,6,8,4,3]=>[7,5,1,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[8,4,1,2,6,7,5,3]=>[4,1,2,6,7,5,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[5,3,1,2,7,6,8,4]=>[5,3,1,2,7,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[1,2,5,3,7,6,8,4]=>[1,2,5,3,7,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[4,3,1,2,7,6,8,5]=>[4,3,1,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[3,5,1,2,7,6,8,4]=>[3,5,1,2,7,6,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[6,7,1,5,8,2,3,4]=>[6,7,1,5,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[2,7,6,1,5,8,3,4]=>[2,7,6,1,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[2,3,5,1,7,6,8,4]=>[2,3,5,1,7,6,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[7,6,1,5,8,3,2,4]=>[7,6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[3,6,7,1,5,8,2,4]=>[3,6,7,1,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[7,1,6,5,8,2,4,3]=>[7,1,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[7,5,1,6,8,4,2,3]=>[7,5,1,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[8,4,1,6,7,5,2,3]=>[4,1,6,7,5,2,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[5,2,3,1,7,6,8,4]=>[5,2,3,1,7,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[3,5,2,1,7,6,8,4]=>[3,5,2,1,7,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[1,3,5,2,7,6,8,4]=>[1,3,5,2,7,6,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[1,7,6,2,5,8,3,4]=>[1,7,6,2,5,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[7,6,2,1,5,8,3,4]=>[7,6,2,1,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[8,3,1,5,7,6,2,4]=>[3,1,5,7,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[6,2,4,1,7,5,8,3]=>[6,2,4,1,7,5,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[6,2,5,1,7,4,8,3]=>[6,2,5,1,7,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[7,1,6,4,8,2,5,3]=>[7,1,6,4,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[8,2,6,4,7,1,5,3]=>[2,6,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[6,1,5,2,7,4,8,3]=>[6,1,5,2,7,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[7,6,2,5,8,3,1,4]=>[7,6,2,5,3,1,4]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4]]
[8,3,5,7,6,2,1,4]=>[3,5,7,6,2,1,4]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[1,8,3,5,7,6,2,4]=>[1,3,5,7,6,2,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[1,5,2,3,7,6,8,4]=>[1,5,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[5,2,1,3,7,6,8,4]=>[5,2,1,3,7,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[7,5,2,6,8,4,1,3]=>[7,5,2,6,4,1,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[8,4,2,6,7,5,1,3]=>[4,2,6,7,5,1,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[6,1,4,2,7,5,8,3]=>[6,1,4,2,7,5,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[8,2,6,5,7,1,4,3]=>[2,6,5,7,1,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[3,6,8,2,5,7,1,4]=>[3,6,2,5,7,1,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[8,3,2,5,7,6,1,4]=>[3,2,5,7,6,1,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[5,1,3,2,7,6,8,4]=>[5,1,3,2,7,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[4,1,3,2,7,6,8,5]=>[4,1,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[4,2,1,3,7,6,8,5]=>[4,2,1,3,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[1,4,2,3,7,6,8,5]=>[1,4,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[2,4,1,3,7,6,8,5]=>[2,4,1,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[2,5,1,3,7,6,8,4]=>[2,5,1,3,7,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[2,8,3,5,7,6,1,4]=>[2,3,5,7,6,1,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[6,8,2,3,5,7,1,4]=>[6,2,3,5,7,1,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[6,7,1,3,5,8,2,4]=>[6,7,1,3,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[8,3,5,7,6,1,2,4]=>[3,5,7,6,1,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[5,1,2,3,7,6,8,4]=>[5,1,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[3,1,2,4,7,6,8,5]=>[3,1,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[8,1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[8,1,3,5,6,2,7,4]=>[1,3,5,6,2,7,4]=>[[1,2,4,6,7],[3,5]]=>[[1,3],[2,5],[4],[6],[7]]
[8,1,3,4,2,6,7,5]=>[1,3,4,2,6,7,5]=>[[1,2,4,5,7],[3,6]]=>[[1,3],[2,6],[4],[5],[7]]
[8,1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[[1,2,4,5,6],[3,7]]=>[[1,3],[2,7],[4],[5],[6]]
[2,7,8,3,4,5,6,1]=>[2,7,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7]]=>[[1,2,7],[3],[4],[5],[6]]
[2,6,3,8,4,5,7,1]=>[2,6,3,4,5,7,1]=>[[1,3,4,5,7],[2],[6]]=>[[1,2,6],[3],[4],[5],[7]]
[6,3,2,1,4,5,8,7]=>[6,3,2,1,4,5,7]=>[[1,4,5,7],[2],[3],[6]]=>[[1,2,3,6],[4],[5],[7]]
[7,3,1,4,2,6,8,5]=>[7,3,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[7,4,1,5,6,8,2,3]=>[7,4,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[4,7,8,5,6,1,2,3]=>[4,7,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[3,7,8,5,6,2,1,4]=>[3,7,5,6,2,1,4]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[3,7,8,4,2,6,1,5]=>[3,7,4,2,6,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[3,7,8,2,4,5,1,6]=>[3,7,2,4,5,1,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,6,2,8,4,5,1,7]=>[3,6,2,4,5,1,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[2,3,6,7,4,5,8,1]=>[2,3,6,7,4,5,1]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[3,5,2,4,8,6,1,7]=>[3,5,2,4,6,1,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,5,4,2,8,7,1,6]=>[3,5,4,2,7,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[4,6,5,8,7,1,2,3]=>[4,6,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[6,4,5,1,7,8,2,3]=>[6,4,5,1,7,2,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[7,4,1,2,3,8,5,6]=>[7,4,1,2,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>[[1,4,7],[2],[3],[5],[6]]
[6,2,4,1,3,7,5,8]=>[6,2,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[2,6,4,8,3,7,5,1]=>[2,6,4,3,7,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[2,6,5,8,7,3,4,1]=>[2,6,5,7,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[6,2,5,1,7,3,4,8]=>[6,2,5,1,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[6,5,2,1,8,3,4,7]=>[6,5,2,1,3,4,7]=>[[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]
[2,5,6,7,8,3,4,1]=>[2,5,6,7,3,4,1]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[2,4,6,7,3,8,5,1]=>[2,4,6,7,3,5,1]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[4,2,6,7,3,1,5,8]=>[4,2,6,7,3,1,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[4,7,8,2,3,1,5,6]=>[4,7,2,3,1,5,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[4,7,8,3,2,1,6,5]=>[4,7,3,2,1,6,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[5,6,4,8,1,7,2,3]=>[5,6,4,1,7,2,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[5,6,3,8,1,2,7,4]=>[5,6,3,1,2,7,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[4,2,5,3,7,1,6,8]=>[4,2,5,3,7,1,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[4,3,6,7,2,1,8,5]=>[4,3,6,7,2,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[3,4,6,7,2,8,1,5]=>[3,4,6,7,2,1,5]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[3,4,5,2,7,8,1,6]=>[3,4,5,2,7,1,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,4,2,5,6,8,1,7]=>[3,4,2,5,6,1,7]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]
[5,2,7,8,6,4,1,3]=>[5,2,7,6,4,1,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[5,1,2,7,8,6,4,3]=>[5,1,2,7,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[4,7,1,8,6,5,2,3]=>[4,7,1,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[4,7,1,2,8,6,5,3]=>[4,7,1,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[4,6,8,1,2,7,5,3]=>[4,6,1,2,7,5,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[6,8,7,1,5,3,2,4]=>[6,7,1,5,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[6,8,7,3,5,1,2,4]=>[6,7,3,5,1,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[7,8,1,6,3,5,2,4]=>[7,1,6,3,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[7,8,1,3,6,5,2,4]=>[7,1,3,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[7,8,3,6,5,2,1,4]=>[7,3,6,5,2,1,4]=>[[1,4],[2,5],[3],[6],[7]]=>[[1,2,3,6,7],[4,5]]
[4,7,2,8,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6]]
[1,7,3,4,8,6,5,2]=>[1,7,3,4,6,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[4,2,7,1,8,6,5,3]=>[4,2,7,1,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6]]
[7,8,2,3,6,5,1,4]=>[7,2,3,6,5,1,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[8,5,7,1,6,2,3,4]=>[5,7,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[8,5,7,1,2,6,3,4]=>[5,7,1,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[6,8,2,7,1,3,5,4]=>[6,2,7,1,3,5,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[6,8,7,2,5,3,1,4]=>[6,7,2,5,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[6,2,4,8,7,1,5,3]=>[6,2,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[1,6,8,3,7,4,5,2]=>[1,6,3,7,4,5,2]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[1,6,8,3,4,7,5,2]=>[1,6,3,4,7,5,2]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[6,2,4,8,1,7,5,3]=>[6,2,4,1,7,5,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[6,8,7,2,3,5,1,4]=>[6,7,2,3,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[6,8,2,1,7,3,5,4]=>[6,2,1,7,3,5,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[8,5,7,2,1,6,3,4]=>[5,7,2,1,6,3,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[8,5,7,1,2,3,6,4]=>[5,7,1,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[8,7,6,2,1,4,3,5]=>[7,6,2,1,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[8,5,7,2,3,1,6,4]=>[5,7,2,3,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[5,8,4,2,7,1,6,3]=>[5,4,2,7,1,6,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[1,8,7,5,3,4,6,2]=>[1,7,5,3,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]
[1,8,7,3,5,4,6,2]=>[1,7,3,5,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]
[8,2,5,4,7,1,6,3]=>[2,5,4,7,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[8,5,2,7,3,1,6,4]=>[5,2,7,3,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[8,7,6,2,4,3,1,5]=>[7,6,2,4,3,1,5]=>[[1,3,5],[2],[4],[6],[7]]=>[[1,2,4,6,7],[3],[5]]
[8,7,6,1,2,4,3,5]=>[7,6,1,2,4,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[8,7,6,1,4,2,3,5]=>[7,6,1,4,2,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[8,7,6,4,1,3,2,5]=>[7,6,4,1,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[5,8,4,7,2,1,6,3]=>[5,4,7,2,1,6,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[1,8,7,5,4,3,6,2]=>[1,7,5,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[1,6,8,4,3,7,5,2]=>[1,6,4,3,7,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[6,8,7,3,2,5,1,4]=>[6,7,3,2,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[6,8,1,7,3,2,5,4]=>[6,1,7,3,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[8,5,7,3,1,6,2,4]=>[5,7,3,1,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[8,5,7,1,3,2,6,4]=>[5,7,1,3,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[8,5,7,3,1,2,6,4]=>[5,7,3,1,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[5,8,4,7,1,2,6,3]=>[5,4,7,1,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[5,8,4,1,7,2,6,3]=>[5,4,1,7,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[5,8,4,7,1,6,2,3]=>[5,4,7,1,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[8,1,2,6,5,7,4,3]=>[1,2,6,5,7,4,3]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[8,2,5,6,7,4,1,3]=>[2,5,6,7,4,1,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[4,8,5,7,1,6,2,3]=>[4,5,7,1,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[4,8,5,7,1,2,6,3]=>[4,5,7,1,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[4,8,5,1,7,2,6,3]=>[4,5,1,7,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[8,5,3,1,7,2,6,4]=>[5,3,1,7,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[8,5,3,7,1,2,6,4]=>[5,3,7,1,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[6,8,1,3,7,2,5,4]=>[6,1,3,7,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[4,6,2,8,1,7,5,3]=>[4,6,2,1,7,5,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[1,6,4,8,3,7,5,2]=>[1,6,4,3,7,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[1,8,7,4,5,3,6,2]=>[1,7,4,5,3,6,2]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[4,8,5,7,2,1,6,3]=>[4,5,7,2,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[8,5,3,7,2,1,6,4]=>[5,3,7,2,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[8,7,6,3,1,4,2,5]=>[7,6,3,1,4,2,5]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[8,7,6,1,3,2,4,5]=>[7,6,1,3,2,4,5]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[8,5,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[4,8,5,2,7,1,6,3]=>[4,5,2,7,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[1,8,7,4,3,5,6,2]=>[1,7,4,3,5,6,2]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[1,8,7,3,4,5,6,2]=>[1,7,3,4,5,6,2]=>[[1,2,4,5,6],[3],[7]]=>[[1,3,7],[2],[4],[5],[6]]
[8,2,4,5,7,1,6,3]=>[2,4,5,7,1,6,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[8,5,2,3,7,1,6,4]=>[5,2,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[6,3,1,5,4,2,8,7]=>[6,3,1,5,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[8,3,1,5,2,7,6,4]=>[3,1,5,2,7,6,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[8,5,4,2,1,7,3,6]=>[5,4,2,1,7,3,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[8,5,4,2,1,7,6,3]=>[5,4,2,1,7,6,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[6,5,4,2,1,3,8,7]=>[6,5,4,2,1,3,7]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3],[7]]
[6,5,4,2,3,1,8,7]=>[6,5,4,2,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3],[7]]
[6,3,2,5,1,4,8,7]=>[6,3,2,5,1,4,7]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[6,5,4,3,1,2,8,7]=>[6,5,4,3,1,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[6,5,4,1,3,2,8,7]=>[6,5,4,1,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[8,5,4,1,2,7,6,3]=>[5,4,1,2,7,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[8,7,4,1,6,3,2,5]=>[7,4,1,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[8,7,4,1,6,3,5,2]=>[7,4,1,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[8,7,4,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[[1,3,4,6,7],[2,5]]
[8,5,4,1,3,7,6,2]=>[5,4,1,3,7,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[8,5,4,3,1,7,6,2]=>[5,4,3,1,7,6,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[8,3,2,5,1,7,6,4]=>[3,2,5,1,7,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[2,1,8,5,3,7,6,4]=>[2,1,5,3,7,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[8,3,2,5,1,7,4,6]=>[3,2,5,1,7,4,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[8,5,4,3,1,7,2,6]=>[5,4,3,1,7,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[8,5,4,1,3,7,2,6]=>[5,4,1,3,7,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[8,7,4,1,6,5,2,3]=>[7,4,1,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[8,7,4,1,6,2,5,3]=>[7,4,1,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[8,7,6,5,2,1,4,3]=>[7,6,5,2,1,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,2,5,6,7],[3,4]]
[8,7,4,3,6,2,1,5]=>[7,4,3,6,2,1,5]=>[[1,5],[2,6],[3],[4],[7]]=>[[1,2,3,4,7],[5,6]]
[8,3,2,7,6,4,1,5]=>[3,2,7,6,4,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[2,1,8,7,6,4,3,5]=>[2,1,7,6,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[2,1,8,7,6,4,5,3]=>[2,1,7,6,4,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[8,3,2,7,6,4,5,1]=>[3,2,7,6,4,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[8,7,4,3,6,2,5,1]=>[7,4,3,6,2,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>[[1,2,3,4,7],[5,6]]
[8,7,6,5,2,4,3,1]=>[7,6,5,2,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[[1,2,4,5,6,7],[3]]
[8,5,4,2,3,7,6,1]=>[5,4,2,3,7,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[8,7,4,2,6,5,3,1]=>[7,4,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[[1,2,4,6,7],[3,5]]
[8,7,4,2,6,3,5,1]=>[7,4,2,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[8,7,4,2,6,3,1,5]=>[7,4,2,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[8,3,1,7,6,4,2,5]=>[3,1,7,6,4,2,5]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[8,3,1,7,6,4,5,2]=>[3,1,7,6,4,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[8,3,1,7,6,5,4,2]=>[3,1,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4]]
[8,3,1,5,4,7,6,2]=>[3,1,5,4,7,6,2]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[8,3,1,5,4,7,2,6]=>[3,1,5,4,7,2,6]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[8,3,1,7,6,5,2,4]=>[3,1,7,6,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[8,3,1,7,6,2,5,4]=>[3,1,7,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[8,7,4,2,6,1,5,3]=>[7,4,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6]]
[8,7,4,2,6,5,1,3]=>[7,4,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6]]
[8,5,4,2,3,7,1,6]=>[5,4,2,3,7,1,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[8,3,2,5,4,7,1,6]=>[3,2,5,4,7,1,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[2,1,8,5,4,7,3,6]=>[2,1,5,4,7,3,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[8,3,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[8,7,4,3,6,5,1,2]=>[7,4,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[8,7,6,5,3,1,4,2]=>[7,6,5,3,1,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4]]
[8,7,6,5,1,3,2,4]=>[7,6,5,1,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[8,7,6,5,1,3,4,2]=>[7,6,5,1,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[8,7,6,5,1,4,3,2]=>[7,6,5,1,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2]]
[8,7,6,5,4,1,3,2]=>[7,6,5,4,1,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2]]
[8,7,4,3,6,1,5,2]=>[7,4,3,6,1,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[8,3,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[2,1,8,7,6,3,5,4]=>[2,1,7,6,3,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[8,3,2,7,6,1,4,5]=>[3,2,7,6,1,4,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[8,7,6,5,1,4,2,3]=>[7,6,5,1,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[8,7,6,5,1,2,4,3]=>[7,6,5,1,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[7,3,5,1,8,4,6,2]=>[7,3,5,1,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[7,3,4,1,8,5,6,2]=>[7,3,4,1,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[4,5,6,2,1,8,7,3]=>[4,5,6,2,1,7,3]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[1,6,5,2,7,4,3,8]=>[1,6,5,2,7,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[7,4,3,1,8,6,5,2]=>[7,4,3,1,6,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[7,6,5,1,8,4,3,2]=>[7,6,5,1,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2]]
[7,6,4,1,8,5,3,2]=>[7,6,4,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[[1,3,4,6,7],[2,5]]
[6,4,2,1,8,7,5,3]=>[6,4,2,1,7,5,3]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[1,6,4,2,7,5,3,8]=>[1,6,4,2,7,5,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[1,5,3,2,7,6,4,8]=>[1,5,3,2,7,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[5,3,2,1,8,7,6,4]=>[5,3,2,1,7,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[2,5,3,1,7,8,6,4]=>[2,5,3,1,7,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[2,6,4,1,7,8,5,3]=>[2,6,4,1,7,5,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[2,6,5,1,7,8,4,3]=>[2,6,5,1,7,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[4,5,7,1,6,8,2,3]=>[4,5,7,1,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[6,5,1,2,8,4,3,7]=>[6,5,1,2,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[6,4,1,2,8,5,3,7]=>[6,4,1,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[5,3,1,2,8,6,4,7]=>[5,3,1,2,6,4,7]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[4,3,1,2,8,6,5,7]=>[4,3,1,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[6,1,2,5,8,3,4,7]=>[6,1,2,5,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[7,1,3,4,8,2,5,6]=>[7,1,3,4,2,5,6]=>[[1,2,4,5,6],[3],[7]]=>[[1,3,7],[2],[4],[5],[6]]
[7,1,5,6,8,2,3,4]=>[7,1,5,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[2,6,1,5,7,8,3,4]=>[2,6,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[7,4,1,6,8,5,2,3]=>[7,4,1,6,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[5,2,3,1,8,6,7,4]=>[5,2,3,1,6,7,4]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[3,5,2,1,6,8,7,4]=>[3,5,2,1,6,7,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[1,6,2,5,7,3,4,8]=>[1,6,2,5,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[6,2,1,5,8,7,3,4]=>[6,2,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[7,3,1,5,8,6,2,4]=>[7,3,1,5,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[6,2,4,1,8,5,7,3]=>[6,2,4,1,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[6,2,5,1,8,4,7,3]=>[6,2,5,1,4,7,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[7,3,1,4,8,6,2,5]=>[7,3,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[6,2,1,4,8,7,3,5]=>[6,2,1,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[1,6,2,4,7,3,5,8]=>[1,6,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[5,2,1,3,8,7,4,6]=>[5,2,1,3,7,4,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[7,4,1,3,8,5,2,6]=>[7,4,1,3,5,2,6]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[7,5,1,3,8,4,2,6]=>[7,5,1,3,4,2,6]=>[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]
[3,6,7,1,4,8,2,5]=>[3,6,7,1,4,2,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[7,6,1,4,8,3,2,5]=>[7,6,1,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[4,2,1,3,8,7,5,6]=>[4,2,1,3,7,5,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[2,6,1,4,7,8,3,5]=>[2,6,1,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[7,1,4,6,8,2,3,5]=>[7,1,4,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[7,1,3,5,8,2,4,6]=>[7,1,3,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[6,1,2,4,8,3,5,7]=>[6,1,2,4,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[5,2,3,1,6,4,8,7]=>[5,2,3,1,6,4,7]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[7,4,5,2,3,1,8,6]=>[7,4,5,2,3,1,6]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[8,6,7,3,5,2,4,1]=>[6,7,3,5,2,4,1]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[7,3,5,2,4,1,8,6]=>[7,3,5,2,4,1,6]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[6,3,5,2,4,1,8,7]=>[6,3,5,2,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[5,2,4,1,6,3,8,7]=>[5,2,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[4,1,6,3,5,2,8,7]=>[4,1,6,3,5,2,7]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[6,3,4,1,5,2,8,7]=>[6,3,4,1,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[5,2,6,3,4,1,8,7]=>[5,2,6,3,4,1,7]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[5,2,7,3,4,1,8,6]=>[5,2,7,3,4,1,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[5,2,8,6,7,3,4,1]=>[5,2,6,7,3,4,1]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[6,2,8,5,7,3,4,1]=>[6,2,5,7,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[6,2,7,3,4,1,8,5]=>[6,2,7,3,4,1,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[7,3,4,1,5,2,8,6]=>[7,3,4,1,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[4,1,7,3,5,2,8,6]=>[4,1,7,3,5,2,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[3,1,7,4,5,2,8,6]=>[3,1,7,4,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[2,1,7,4,5,3,8,6]=>[2,1,7,4,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[3,1,8,6,7,4,5,2]=>[3,1,6,7,4,5,2]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[4,1,8,6,7,3,5,2]=>[4,1,6,7,3,5,2]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[8,6,7,3,4,1,5,2]=>[6,7,3,4,1,5,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[8,5,7,3,4,1,6,2]=>[5,7,3,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[8,5,6,2,7,3,4,1]=>[5,6,2,7,3,4,1]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[8,4,7,3,5,1,6,2]=>[4,7,3,5,1,6,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[5,1,8,4,7,3,6,2]=>[5,1,4,7,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[4,1,8,5,7,3,6,2]=>[4,1,5,7,3,6,2]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[3,1,8,5,7,4,6,2]=>[3,1,5,7,4,6,2]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[2,1,8,5,7,4,6,3]=>[2,1,5,7,4,6,3]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[2,1,7,4,6,3,8,5]=>[2,1,7,4,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[3,1,7,4,6,2,8,5]=>[3,1,7,4,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[4,1,7,3,6,2,8,5]=>[4,1,7,3,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[5,1,7,3,6,2,8,4]=>[5,1,7,3,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[6,2,7,3,5,1,8,4]=>[6,2,7,3,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[6,2,8,4,7,3,5,1]=>[6,2,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[8,4,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[7,3,6,2,5,1,8,4]=>[7,3,6,2,5,1,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[6,2,5,1,7,3,8,4]=>[6,2,5,1,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[5,2,4,1,7,3,8,6]=>[5,2,4,1,7,3,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[6,2,4,1,7,3,8,5]=>[6,2,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[8,5,7,3,6,2,4,1]=>[5,7,3,6,2,4,1]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[8,5,7,4,6,2,3,1]=>[5,7,4,6,2,3,1]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[7,4,6,2,3,1,8,5]=>[7,4,6,2,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[6,2,3,1,7,4,8,5]=>[6,2,3,1,7,4,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[5,2,3,1,7,4,8,6]=>[5,2,3,1,7,4,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[4,2,3,1,7,5,8,6]=>[4,2,3,1,7,5,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[3,1,4,2,8,6,7,5]=>[3,1,4,2,6,7,5]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[6,2,3,1,8,5,7,4]=>[6,2,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[8,5,6,2,3,1,7,4]=>[5,6,2,3,1,7,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[7,4,8,5,6,2,3,1]=>[7,4,5,6,2,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[7,3,8,5,6,2,4,1]=>[7,3,5,6,2,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[8,5,6,2,4,1,7,3]=>[5,6,2,4,1,7,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[5,2,4,1,8,6,7,3]=>[5,2,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[4,1,5,2,8,6,7,3]=>[4,1,5,2,6,7,3]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[3,1,5,2,8,6,7,4]=>[3,1,5,2,6,7,4]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[2,1,6,3,8,5,7,4]=>[2,1,6,3,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[3,1,6,2,8,5,7,4]=>[3,1,6,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[4,1,6,2,8,5,7,3]=>[4,1,6,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[5,1,6,2,8,4,7,3]=>[5,1,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[8,4,6,2,5,1,7,3]=>[4,6,2,5,1,7,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[7,3,8,4,6,2,5,1]=>[7,3,4,6,2,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[6,2,7,3,8,4,5,1]=>[6,2,7,3,4,5,1]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[8,4,5,1,6,2,7,3]=>[4,5,1,6,2,7,3]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[5,1,8,4,6,2,7,3]=>[5,1,4,6,2,7,3]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[4,1,8,5,6,2,7,3]=>[4,1,5,6,2,7,3]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[3,1,8,5,6,2,7,4]=>[3,1,5,6,2,7,4]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[2,1,8,5,6,3,7,4]=>[2,1,5,6,3,7,4]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[2,1,7,4,8,5,6,3]=>[2,1,7,4,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[3,1,7,4,8,5,6,2]=>[3,1,7,4,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[4,1,7,3,8,5,6,2]=>[4,1,7,3,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[7,3,8,4,5,1,6,2]=>[7,3,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[8,4,5,1,7,3,6,2]=>[4,5,1,7,3,6,2]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[7,3,6,2,8,4,5,1]=>[7,3,6,2,4,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[7,8,5,6,1,3,4,2]=>[7,5,6,1,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[7,8,1,3,6,2,5,4]=>[7,1,3,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[1,3,8,4,7,2,5,6]=>[1,3,4,7,2,5,6]=>[[1,2,4,5,6],[3,7]]=>[[1,3],[2,7],[4],[5],[6]]
[3,6,1,4,7,2,5,8]=>[3,6,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[4,6,1,2,5,7,3,8]=>[4,6,1,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[1,4,8,2,5,7,3,6]=>[1,4,2,5,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[7,8,2,4,5,6,1,3]=>[7,2,4,5,6,1,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[7,8,1,5,4,6,3,2]=>[7,1,5,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[7,8,2,1,6,3,4,5]=>[7,2,1,6,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[7,8,3,5,6,4,1,2]=>[7,3,5,6,4,1,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[7,8,1,4,2,3,6,5]=>[7,1,4,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[7,8,5,1,4,2,6,3]=>[7,5,1,4,2,6,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[7,8,4,5,3,1,6,2]=>[7,4,5,3,1,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[1,5,8,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[5,6,1,4,3,2,7,8]=>[5,6,1,4,3,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[2,6,4,8,3,7,1,5]=>[2,6,4,3,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[1,4,6,8,3,7,5,2]=>[1,4,6,3,7,5,2]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[2,4,8,5,3,1,6,7]=>[2,4,5,3,1,6,7]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,4],[3],[5],[6],[7]]
[2,5,8,1,4,7,6,3]=>[2,5,1,4,7,6,3]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[3,5,8,4,7,6,1,2]=>[3,5,4,7,6,1,2]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[1,6,2,4,7,3,8,5]=>[1,6,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[5,6,2,1,4,7,8,3]=>[5,6,2,1,4,7,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[4,6,2,5,3,1,8,7]=>[4,6,2,5,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[4,7,5,1,3,6,8,2]=>[4,7,5,1,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[7,5,3,6,2,4,1,8]=>[7,5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[5,7,3,6,1,4,8,2]=>[5,7,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]
[5,3,6,7,2,1,8,4]=>[5,3,6,7,2,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[6,1,7,5,2,4,8,3]=>[6,1,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[6,3,1,2,4,5,8,7]=>[6,3,1,2,4,5,7]=>[[1,2,4,5,7],[3],[6]]=>[[1,3,6],[2],[4],[5],[7]]
[1,4,7,2,5,3,8,6]=>[1,4,7,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[4,6,7,8,3,5,1,2]=>[4,6,7,3,5,1,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[3,6,1,8,4,2,5,7]=>[3,6,1,4,2,5,7]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[1,6,7,5,8,2,4,3]=>[1,6,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[3,5,6,7,8,1,4,2]=>[3,5,6,7,1,4,2]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[3,6,5,7,8,2,1,4]=>[3,6,5,7,2,1,4]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[5,2,7,6,1,4,3,8]=>[5,2,7,6,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[2,5,7,6,8,1,3,4]=>[2,5,7,6,1,3,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[2,7,5,6,8,4,1,3]=>[2,7,5,6,4,1,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[2,1,6,8,4,5,3,7]=>[2,1,6,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,7,1,8,5,3,4,6]=>[2,7,1,5,3,4,6]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[3,7,6,8,5,4,1,2]=>[3,7,6,5,4,1,2]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4]]
[4,3,8,5,6,7,1,2]=>[4,3,5,6,7,1,2]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[4,2,8,1,6,3,7,5]=>[4,2,1,6,3,7,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[3,1,8,5,4,6,7,2]=>[3,1,5,4,6,7,2]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[3,2,8,4,5,6,1,7]=>[3,2,4,5,6,1,7]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]
[3,4,2,8,6,1,7,5]=>[3,4,2,6,1,7,5]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[3,4,7,1,5,2,6,8]=>[3,4,7,1,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[4,3,7,8,1,2,6,5]=>[4,3,7,1,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[1,7,3,8,5,2,6,4]=>[1,7,3,5,2,6,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[4,1,8,3,6,2,5,7]=>[4,1,3,6,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[5,7,8,6,3,2,1,4]=>[5,7,6,3,2,1,4]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[5,7,8,6,1,3,4,2]=>[5,7,6,1,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[7,6,5,8,1,3,4,2]=>[7,6,5,1,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[1,6,4,3,8,2,5,7]=>[1,6,4,3,2,5,7]=>[[1,2,5,7],[3],[4],[6]]=>[[1,3,4,6],[2],[5],[7]]
[7,1,3,4,8,2,6,5]=>[7,1,3,4,2,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[3,6,5,4,1,2,7,8]=>[3,6,5,4,1,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[2,4,5,1,7,8,6,3]=>[2,4,5,1,7,6,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[2,6,3,4,5,8,1,7]=>[2,6,3,4,5,1,7]=>[[1,3,4,5,7],[2],[6]]=>[[1,2,6],[3],[4],[5],[7]]
[2,6,4,1,8,3,7,5]=>[2,6,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[7,3,6,4,8,5,1,2]=>[7,3,6,4,5,1,2]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[7,2,1,4,8,3,5,6]=>[7,2,1,4,3,5,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[7,1,6,5,3,8,4,2]=>[7,1,6,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[7,2,5,6,3,8,1,4]=>[7,2,5,6,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[6,5,2,7,1,8,4,3]=>[6,5,2,7,1,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[5,6,2,7,3,1,4,8]=>[5,6,2,7,3,1,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[5,6,7,4,2,8,1,3]=>[5,6,7,4,2,1,3]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,7,6,4,1,8,3,2]=>[5,7,6,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]
[6,7,1,5,2,8,3,4]=>[6,7,1,5,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[1,7,5,2,4,8,3,6]=>[1,7,5,2,4,3,6]=>[[1,2,3,6],[4],[5],[7]]=>[[1,4,5,7],[2],[3],[6]]
[6,1,5,2,8,3,4,7]=>[6,1,5,2,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[6,7,5,3,8,4,1,2]=>[6,7,5,3,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[1,6,5,4,2,3,8,7]=>[1,6,5,4,2,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[7,1,5,3,4,2,8,6]=>[7,1,5,3,4,2,6]=>[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]
[7,6,1,5,3,2,8,4]=>[7,6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[7,5,6,4,1,2,8,3]=>[7,5,6,4,1,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[6,7,5,4,3,1,8,2]=>[6,7,5,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>[[1,3,4,5,6],[2,7]]
[7,5,2,4,3,1,6,8]=>[7,5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5],[7]]=>[[1,2,4,5,7],[3],[6]]
[7,4,6,1,2,5,3,8]=>[7,4,6,1,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[7,1,4,2,5,3,6,8]=>[7,1,4,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[6,8,1,4,2,5,7,3]=>[6,1,4,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[1,6,4,2,5,7,3,8]=>[1,6,4,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[1,6,3,7,5,4,2,8]=>[1,6,3,7,5,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[6,8,1,3,7,5,4,2]=>[6,1,3,7,5,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[7,1,3,5,6,4,2,8]=>[7,1,3,5,6,4,2]=>[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]
[7,3,1,6,4,5,2,8]=>[7,3,1,6,4,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[7,4,2,6,5,1,3,8]=>[7,4,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6]]
[7,4,6,3,1,5,2,8]=>[7,4,6,3,1,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[7,2,4,1,5,3,6,8]=>[7,2,4,1,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[7,2,3,5,4,1,6,8]=>[7,2,3,5,4,1,6]=>[[1,3,4,6],[2],[5],[7]]=>[[1,2,5,7],[3],[4],[6]]
[6,8,1,2,3,4,7,5]=>[6,1,2,3,4,7,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[1,5,7,2,3,8,6,4]=>[1,5,7,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[5,1,8,2,3,6,7,4]=>[5,1,2,3,6,7,4]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[5,8,2,3,7,6,4,1]=>[5,2,3,7,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[6,2,8,1,3,7,4,5]=>[6,2,1,3,7,4,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[6,8,2,3,5,4,7,1]=>[6,2,3,5,4,7,1]=>[[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]
[6,8,2,4,1,5,7,3]=>[6,2,4,1,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[6,8,3,1,2,4,7,5]=>[6,3,1,2,4,7,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[2,6,4,1,5,7,3,8]=>[2,6,4,1,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,6,3,5,7,1,4,8]=>[2,6,3,5,7,1,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[2,5,1,7,8,3,6,4]=>[2,5,1,7,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[2,5,3,6,8,4,7,1]=>[2,5,3,6,4,7,1]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[2,1,4,7,8,5,6,3]=>[2,1,4,7,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[2,4,7,6,8,5,1,3]=>[2,4,7,6,5,1,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[2,5,3,7,6,1,8,4]=>[2,5,3,7,6,1,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[2,5,7,8,1,4,6,3]=>[2,5,7,1,4,6,3]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[3,5,7,4,1,6,2,8]=>[3,5,7,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[5,3,4,1,8,6,7,2]=>[5,3,4,1,6,7,2]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[5,2,8,4,6,1,7,3]=>[5,2,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[5,2,1,8,6,3,7,4]=>[5,2,1,6,3,7,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[4,2,8,6,5,3,7,1]=>[4,2,6,5,3,7,1]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[4,2,8,5,7,6,3,1]=>[4,2,5,7,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[1,4,2,7,5,8,6,3]=>[1,4,2,7,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[4,1,8,6,7,5,3,2]=>[4,1,6,7,5,3,2]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[5,3,8,7,6,2,4,1]=>[5,3,7,6,2,4,1]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[5,8,4,7,6,2,1,3]=>[5,4,7,6,2,1,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[5,8,7,4,3,6,1,2]=>[5,7,4,3,6,1,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[6,4,8,3,1,7,2,5]=>[6,4,3,1,7,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[6,4,2,8,7,1,3,5]=>[6,4,2,7,1,3,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[6,3,8,7,2,5,1,4]=>[6,3,7,2,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[5,8,3,7,1,6,4,2]=>[5,3,7,1,6,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]
[5,1,3,8,6,7,2,4]=>[5,1,3,6,7,2,4]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[1,5,3,7,8,6,2,4]=>[1,5,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[1,5,7,6,4,2,8,3]=>[1,5,7,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[5,8,7,4,1,6,2,3]=>[5,7,4,1,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[6,4,8,1,2,7,3,5]=>[6,4,1,2,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[6,8,5,1,2,3,7,4]=>[6,5,1,2,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[6,8,5,2,4,3,7,1]=>[6,5,2,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3],[7]]
[6,8,5,3,1,2,7,4]=>[6,5,3,1,2,7,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[4,5,1,2,7,6,3,8]=>[4,5,1,2,7,6,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[4,5,1,2,6,8,7,3]=>[4,5,1,2,6,7,3]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[3,5,6,1,8,4,7,2]=>[3,5,6,1,4,7,2]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[3,5,7,1,2,8,6,4]=>[3,5,7,1,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[3,6,2,7,5,1,4,8]=>[3,6,2,7,5,1,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[4,2,6,1,7,3,5,8]=>[4,2,6,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[4,6,3,1,2,7,5,8]=>[4,6,3,1,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[4,5,3,1,7,6,2,8]=>[4,5,3,1,7,6,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[4,2,5,7,1,6,3,8]=>[4,2,5,7,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[3,5,2,7,8,1,6,4]=>[3,5,2,7,1,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,1,4,7,5,6,2,8]=>[3,1,4,7,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[3,4,6,5,8,7,1,2]=>[3,4,6,5,7,1,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[3,1,4,5,8,6,7,2]=>[3,1,4,5,6,7,2]=>[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]
[3,4,6,8,5,2,7,1]=>[3,4,6,5,2,7,1]=>[[1,4,5,7],[2],[3],[6]]=>[[1,2,3,6],[4],[5],[7]]
[3,5,6,2,8,4,7,1]=>[3,5,6,2,4,7,1]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[4,2,5,6,1,8,7,3]=>[4,2,5,6,1,7,3]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[4,5,3,1,6,8,7,2]=>[4,5,3,1,6,7,2]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[2,1,7,5,8,6,4,3]=>[2,1,7,5,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[1,2,7,5,3,8,6,4]=>[1,2,7,5,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[4,1,2,7,3,8,6,5]=>[4,1,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[6,4,1,7,5,2,3,8]=>[6,4,1,7,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[6,1,3,7,5,2,4,8]=>[6,1,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[3,1,2,6,8,5,4,7]=>[3,1,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[3,7,1,2,5,4,8,6]=>[3,7,1,2,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[1,3,7,2,4,8,6,5]=>[1,3,7,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[2,4,1,7,8,6,5,3]=>[2,4,1,7,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[3,4,7,5,1,8,6,2]=>[3,4,7,5,1,6,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[2,7,4,1,5,8,6,3]=>[2,7,4,1,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[2,3,7,1,5,8,6,4]=>[2,3,7,1,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[5,2,8,1,3,7,4,6]=>[5,2,1,3,7,4,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[2,1,6,8,3,4,7,5]=>[2,1,6,3,4,7,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,6,8,3,1,5,7,4]=>[2,6,3,1,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[2,8,6,4,1,5,7,3]=>[2,6,4,1,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[3,6,4,8,5,1,7,2]=>[3,6,4,5,1,7,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[6,3,7,4,5,1,8,2]=>[6,3,7,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[2,6,3,7,5,8,1,4]=>[2,6,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[5,2,1,7,8,3,4,6]=>[5,2,1,7,3,4,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[4,7,2,3,6,8,1,5]=>[4,7,2,3,6,1,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[5,2,7,3,6,8,1,4]=>[5,2,7,3,6,1,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[5,7,4,6,2,8,1,3]=>[5,7,4,6,2,1,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[5,7,3,4,6,1,8,2]=>[5,7,3,4,6,1,2]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[5,3,8,4,6,1,7,2]=>[5,3,4,6,1,7,2]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[8,5,2,4,1,6,7,3]=>[5,2,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[8,2,3,5,1,6,7,4]=>[2,3,5,1,6,7,4]=>[[1,3,4,6,7],[2,5]]=>[[1,2],[3,5],[4],[6],[7]]
[4,2,8,3,6,7,1,5]=>[4,2,3,6,7,1,5]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,8,1,7,3,5,6]=>[2,4,1,7,3,5,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[8,4,1,3,6,2,5,7]=>[4,1,3,6,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[4,8,3,1,7,2,5,6]=>[4,3,1,7,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[5,2,8,4,7,1,6,3]=>[5,2,4,7,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[5,8,4,7,3,1,6,2]=>[5,4,7,3,1,6,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[4,6,8,3,1,7,5,2]=>[4,6,3,1,7,5,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[6,3,8,2,7,1,5,4]=>[6,3,2,7,1,5,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[6,3,1,8,2,4,7,5]=>[6,3,1,2,4,7,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[5,3,8,1,2,6,4,7]=>[5,3,1,2,6,4,7]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[5,7,4,1,6,2,3,8]=>[5,7,4,1,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[8,5,4,1,2,6,3,7]=>[5,4,1,2,6,3,7]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[5,1,8,4,2,7,3,6]=>[5,1,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[1,6,2,8,5,3,7,4]=>[1,6,2,5,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[6,8,5,3,1,7,4,2]=>[6,5,3,1,7,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[8,4,5,1,2,6,3,7]=>[4,5,1,2,6,3,7]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[5,6,3,7,1,2,4,8]=>[5,6,3,7,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[1,6,3,7,2,8,4,5]=>[1,6,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[6,3,2,7,8,5,1,4]=>[6,3,2,7,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[4,5,7,8,3,1,6,2]=>[4,5,7,3,1,6,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[4,7,2,5,8,1,6,3]=>[4,7,2,5,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[8,1,3,4,6,2,5,7]=>[1,3,4,6,2,5,7]=>[[1,2,4,5,7],[3,6]]=>[[1,3],[2,6],[4],[5],[7]]
[3,8,2,4,6,7,1,5]=>[3,2,4,6,7,1,5]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[3,5,6,8,2,7,1,4]=>[3,5,6,2,7,1,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[2,4,5,6,8,1,7,3]=>[2,4,5,6,1,7,3]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[4,8,3,5,6,1,7,2]=>[4,3,5,6,1,7,2]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[5,6,2,3,7,8,1,4]=>[5,6,2,3,7,1,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[5,8,7,3,4,1,2,6]=>[5,7,3,4,1,2,6]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[6,8,7,3,4,1,2,5]=>[6,7,3,4,1,2,5]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[6,8,4,7,1,5,3,2]=>[6,4,7,1,5,3,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[6,8,4,7,2,5,3,1]=>[6,4,7,2,5,3,1]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[5,4,8,7,2,6,3,1]=>[5,4,7,2,6,3,1]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[5,4,8,7,1,6,3,2]=>[5,4,7,1,6,3,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[5,3,8,7,6,1,2,4]=>[5,3,7,6,1,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[4,3,8,7,6,1,2,5]=>[4,3,7,6,1,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[4,8,3,7,5,1,2,6]=>[4,3,7,5,1,2,6]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[8,3,4,6,5,1,2,7]=>[3,4,6,5,1,2,7]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[3,8,4,7,5,1,2,6]=>[3,4,7,5,1,2,6]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[3,4,8,7,6,1,2,5]=>[3,4,7,6,1,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[3,5,8,7,6,1,2,4]=>[3,5,7,6,1,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[4,5,8,7,6,1,2,3]=>[4,5,7,6,1,2,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[4,5,8,7,1,6,3,2]=>[4,5,7,1,6,3,2]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[4,5,8,7,2,6,3,1]=>[4,5,7,2,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[3,5,8,2,7,6,4,1]=>[3,5,2,7,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[3,5,8,1,7,6,4,2]=>[3,5,1,7,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[2,5,8,1,7,6,4,3]=>[2,5,1,7,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[2,5,8,7,1,6,3,4]=>[2,5,7,1,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[2,4,8,7,1,6,3,5]=>[2,4,7,1,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[2,8,4,7,1,5,3,6]=>[2,4,7,1,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[8,2,4,6,1,5,3,7]=>[2,4,6,1,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[8,1,4,6,2,5,3,7]=>[1,4,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[1,8,4,7,2,5,3,6]=>[1,4,7,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[1,4,8,7,2,6,3,5]=>[1,4,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[1,5,8,7,2,6,3,4]=>[1,5,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[1,5,8,2,7,6,4,3]=>[1,5,2,7,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[2,5,8,3,7,6,4,1]=>[2,5,3,7,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[1,4,2,8,7,6,5,3]=>[1,4,2,7,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[1,3,8,2,7,6,4,5]=>[1,3,2,7,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[1,8,3,2,7,5,4,6]=>[1,3,2,7,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[8,1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[8,2,3,1,6,5,4,7]=>[2,3,1,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[2,8,3,1,7,5,4,6]=>[2,3,1,7,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[2,3,8,1,7,6,4,5]=>[2,3,1,7,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[3,4,1,8,7,6,5,2]=>[3,4,1,7,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[4,3,1,8,7,6,5,2]=>[4,3,1,7,6,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[4,2,1,8,7,6,5,3]=>[4,2,1,7,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6]]
[3,8,2,1,7,5,4,6]=>[3,2,1,7,5,4,6]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[8,3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[8,4,2,6,1,5,3,7]=>[4,2,6,1,5,3,7]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[4,2,8,7,1,6,3,5]=>[4,2,7,1,6,3,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[5,2,8,7,1,6,3,4]=>[5,2,7,1,6,3,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[5,2,8,1,7,6,4,3]=>[5,2,1,7,6,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[5,3,8,1,7,6,4,2]=>[5,3,1,7,6,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]
[5,3,8,2,7,6,4,1]=>[5,3,2,7,6,4,1]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[6,8,3,2,7,5,4,1]=>[6,3,2,7,5,4,1]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[6,8,3,1,7,5,4,2]=>[6,3,1,7,5,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[6,8,2,1,7,5,4,3]=>[6,2,1,7,5,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[6,8,2,7,1,5,3,4]=>[6,2,7,1,5,3,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[6,8,7,2,1,4,3,5]=>[6,7,2,1,4,3,5]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[8,5,6,1,2,4,3,7]=>[5,6,1,2,4,3,7]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[5,8,7,1,2,4,3,6]=>[5,7,1,2,4,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[6,8,1,2,7,5,4,3]=>[6,1,2,7,5,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[6,8,2,3,7,5,4,1]=>[6,2,3,7,5,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[5,2,8,3,7,6,4,1]=>[5,2,3,7,6,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[5,1,8,3,7,6,4,2]=>[5,1,3,7,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[5,1,8,7,2,6,3,4]=>[5,1,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[4,1,8,7,2,6,3,5]=>[4,1,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[4,8,1,7,2,5,3,6]=>[4,1,7,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[8,4,1,6,2,5,3,7]=>[4,1,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[8,3,1,2,6,5,4,7]=>[3,1,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[3,8,1,2,7,5,4,6]=>[3,1,2,7,5,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[3,1,8,2,7,6,4,5]=>[3,1,2,7,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[3,1,2,8,7,6,5,4]=>[3,1,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[4,1,3,8,7,6,5,2]=>[4,1,3,7,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[3,1,4,8,7,6,5,2]=>[3,1,4,7,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[2,1,8,3,7,6,4,5]=>[2,1,3,7,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,8,1,3,7,5,4,6]=>[2,1,3,7,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[8,2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[8,1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[1,8,2,3,7,5,4,6]=>[1,2,3,7,5,4,6]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[1,2,8,3,7,6,4,5]=>[1,2,3,7,6,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[1,4,3,6,8,2,5,7]=>[1,4,3,6,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[3,1,6,2,5,8,4,7]=>[3,1,6,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[3,5,1,8,2,4,7,6]=>[3,5,1,2,4,7,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[1,4,5,2,8,3,7,6]=>[1,4,5,2,3,7,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[1,4,2,6,5,8,3,7]=>[1,4,2,6,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[1,5,4,2,6,8,3,7]=>[1,5,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[3,1,6,5,8,2,4,7]=>[3,1,6,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[1,6,4,2,5,8,3,7]=>[1,6,4,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[1,5,2,6,4,8,3,7]=>[1,5,2,6,4,3,7]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[1,2,6,5,4,8,3,7]=>[1,2,6,5,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[1,2,5,4,7,3,8,6]=>[1,2,5,4,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[4,1,2,6,3,8,7,5]=>[4,1,2,6,3,7,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[7,1,5,4,2,8,3,6]=>[7,1,5,4,2,3,6]=>[[1,2,3,6],[4],[5],[7]]=>[[1,4,5,7],[2],[3],[6]]
[1,4,7,5,2,8,3,6]=>[1,4,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[7,1,3,5,2,8,4,6]=>[7,1,3,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[7,2,5,1,8,3,4,6]=>[7,2,5,1,3,4,6]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[1,4,5,2,8,7,3,6]=>[1,4,5,2,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[1,6,4,2,8,3,7,5]=>[1,6,4,2,3,7,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[1,4,2,8,3,7,6,5]=>[1,4,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[1,2,5,3,8,7,6,4]=>[1,2,5,3,7,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[1,2,8,6,5,3,7,4]=>[1,2,6,5,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[1,5,2,8,6,3,7,4]=>[1,5,2,6,3,7,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[1,6,4,2,8,7,3,5]=>[1,6,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[6,2,1,8,7,3,4,5]=>[6,2,1,7,3,4,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[7,6,2,1,8,3,4,5]=>[7,6,2,1,3,4,5]=>[[1,3,4,5],[2],[6],[7]]=>[[1,2,6,7],[3],[4],[5]]
[7,3,1,6,2,8,4,5]=>[7,3,1,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[1,7,6,4,2,8,3,5]=>[1,7,6,4,2,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[1,7,5,2,6,3,8,4]=>[1,7,5,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[1,6,2,7,5,3,8,4]=>[1,6,2,7,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[1,2,7,6,5,3,8,4]=>[1,2,7,6,5,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[1,2,6,5,3,8,7,4]=>[1,2,6,5,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[1,5,2,6,3,8,7,4]=>[1,5,2,6,3,7,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[1,5,2,7,6,3,8,4]=>[1,5,2,7,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[1,6,5,2,7,3,8,4]=>[1,6,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[1,5,7,4,2,8,3,6]=>[1,5,7,4,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[4,1,2,8,6,3,7,5]=>[4,1,2,6,3,7,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[3,1,8,6,2,4,7,5]=>[3,1,6,2,4,7,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[4,3,7,1,8,2,5,6]=>[4,3,7,1,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[8,3,1,6,2,4,7,5]=>[3,1,6,2,4,7,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[7,1,8,3,2,4,6,5]=>[7,1,3,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[1,8,7,3,2,4,6,5]=>[1,7,3,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[1,4,2,8,7,3,6,5]=>[1,4,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[1,7,4,2,8,3,6,5]=>[1,7,4,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[8,1,5,4,2,7,3,6]=>[1,5,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[1,4,8,5,2,7,3,6]=>[1,4,5,2,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[8,5,3,1,7,2,4,6]=>[5,3,1,7,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[8,6,2,1,7,3,4,5]=>[6,2,1,7,3,4,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[1,8,6,4,2,7,3,5]=>[1,6,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[1,8,5,2,6,3,7,4]=>[1,5,2,6,3,7,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[1,5,2,7,3,8,6,4]=>[1,5,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[1,2,8,5,3,7,6,4]=>[1,2,5,3,7,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[1,2,6,3,8,7,5,4]=>[1,2,6,3,7,5,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[1,2,7,6,3,8,5,4]=>[1,2,7,6,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[1,6,2,7,3,8,5,4]=>[1,6,2,7,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[1,7,2,8,5,3,6,4]=>[1,7,2,5,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[1,7,4,2,8,6,3,5]=>[1,7,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[7,1,8,3,2,6,4,5]=>[7,1,3,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[7,2,1,8,6,3,4,5]=>[7,2,1,6,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[1,8,7,3,2,6,4,5]=>[1,7,3,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[1,4,2,8,7,6,3,5]=>[1,4,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[1,2,8,7,5,3,6,4]=>[1,2,7,5,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[1,2,8,6,3,7,5,4]=>[1,2,6,3,7,5,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[1,2,7,3,8,6,5,4]=>[1,2,7,3,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[4,1,7,3,6,5,8,2]=>[4,1,7,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[5,1,8,7,6,2,4,3]=>[5,1,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[8,1,7,6,3,4,5,2]=>[1,7,6,3,4,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[5,7,8,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[5,7,1,6,2,4,3,8]=>[5,7,1,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[6,4,1,5,2,7,3,8]=>[6,4,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[8,1,4,5,3,7,6,2]=>[1,4,5,3,7,6,2]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[6,1,4,5,3,8,7,2]=>[6,1,4,5,3,7,2]=>[[1,2,5,7],[3],[4],[6]]=>[[1,3,4,6],[2],[5],[7]]
[6,1,4,5,3,7,8,2]=>[6,1,4,5,3,7,2]=>[[1,2,5,7],[3],[4],[6]]=>[[1,3,4,6],[2],[5],[7]]
[5,1,7,8,6,2,4,3]=>[5,1,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[6,1,4,8,3,5,7,2]=>[6,1,4,3,5,7,2]=>[[1,2,5,7],[3],[4],[6]]=>[[1,3,4,6],[2],[5],[7]]
[7,1,8,6,3,4,5,2]=>[7,1,6,3,4,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[7,1,4,5,3,8,6,2]=>[7,1,4,5,3,6,2]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[7,1,4,5,3,6,8,2]=>[7,1,4,5,3,6,2]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[8,1,4,5,3,6,7,2]=>[1,4,5,3,6,7,2]=>[[1,2,5,6,7],[3],[4]]=>[[1,3,4],[2],[5],[6],[7]]
[7,4,1,5,2,6,3,8]=>[7,4,1,5,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[6,3,5,7,2,1,4,8]=>[6,3,5,7,2,1,4]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[6,3,5,8,2,1,7,4]=>[6,3,5,2,1,7,4]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[6,3,5,7,2,1,8,4]=>[6,3,5,7,2,1,4]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[8,4,5,7,3,6,1,2]=>[4,5,7,3,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[6,4,5,8,3,7,2,1]=>[6,4,5,3,7,2,1]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5],[7]]
[5,8,7,6,2,4,1,3]=>[5,7,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[5,4,8,6,3,1,7,2]=>[5,4,6,3,1,7,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,4,1,8,2,3,7,6]=>[5,4,1,2,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[5,8,1,6,2,4,3,7]=>[5,1,6,2,4,3,7]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[8,4,1,5,2,6,3,7]=>[4,1,5,2,6,3,7]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[6,3,5,8,2,1,4,7]=>[6,3,5,2,1,4,7]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[2,3,4,1,8,6,5,7]=>[2,3,4,1,6,5,7]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[8,3,5,6,2,1,4,7]=>[3,5,6,2,1,4,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[2,3,8,5,1,4,7,6]=>[2,3,5,1,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[2,3,8,6,1,5,7,4]=>[2,3,6,1,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[2,8,6,7,1,3,5,4]=>[2,6,7,1,3,5,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[8,3,5,7,2,1,6,4]=>[3,5,7,2,1,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[2,3,8,5,6,1,7,4]=>[2,3,5,6,1,7,4]=>[[1,3,4,6,7],[2,5]]=>[[1,2],[3,5],[4],[6],[7]]
[7,4,5,6,3,1,8,2]=>[7,4,5,6,3,1,2]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[8,4,5,6,3,1,7,2]=>[4,5,6,3,1,7,2]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[7,3,5,6,2,8,1,4]=>[7,3,5,6,2,1,4]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[7,3,5,8,2,1,6,4]=>[7,3,5,2,1,6,4]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[7,3,5,6,2,1,4,8]=>[7,3,5,6,2,1,4]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[2,7,6,5,1,3,4,8]=>[2,7,6,5,1,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[2,7,6,8,1,3,5,4]=>[2,7,6,1,3,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[2,7,6,5,8,3,1,4]=>[2,7,6,5,3,1,4]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4]]
[8,7,5,6,1,4,2,3]=>[7,5,6,1,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[2,6,4,1,8,5,7,3]=>[2,6,4,1,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,6,1,3,8,5,7,4]=>[2,6,1,3,5,7,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[2,7,1,3,6,5,8,4]=>[2,7,1,3,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[2,7,6,8,4,3,1,5]=>[2,7,6,4,3,1,5]=>[[1,3,5],[2],[4],[6],[7]]=>[[1,2,4,6,7],[3],[5]]
[2,7,6,1,8,3,4,5]=>[2,7,6,1,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,7,6,1,4,3,5,8]=>[2,7,6,1,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[7,3,5,1,2,8,4,6]=>[7,3,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[8,4,1,5,2,3,7,6]=>[4,1,5,2,3,7,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[7,8,1,6,3,4,2,5]=>[7,1,6,3,4,2,5]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[6,4,1,8,3,2,7,5]=>[6,4,1,3,2,7,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[2,3,8,6,4,1,7,5]=>[2,3,6,4,1,7,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[2,8,6,7,4,3,1,5]=>[2,6,7,4,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[8,3,5,7,2,4,1,6]=>[3,5,7,2,4,1,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[2,3,4,1,8,7,5,6]=>[2,3,4,1,7,5,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,8,6,1,7,3,4,5]=>[2,6,1,7,3,4,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,3,8,1,6,4,7,5]=>[2,3,1,6,4,7,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[2,3,8,1,4,5,7,6]=>[2,3,1,4,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[2,8,6,1,4,3,5,7]=>[2,6,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8]]=>[[1],[2],[3],[4],[5],[6],[7],[8]]
[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8]]
[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9]]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]
[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]
[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,10]=>[[1,2,3,4,5,6,7,8,9,10]]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]
[9,1,2,3,4,5,6,7,10,8]=>[9,1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]
[1,8,2,3,4,5,6,9,7]=>[1,8,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]
[7,1,2,3,4,5,6,9,8]=>[7,1,2,3,4,5,6,8]=>[[1,2,3,4,5,6,8],[7]]=>[[1,7],[2],[3],[4],[5],[6],[8]]
[2,1,9,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8]]
[2,8,1,3,4,5,6,7,9]=>[2,8,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2,8]]=>[[1,2],[3,8],[4],[5],[6],[7]]
[2,10,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]
[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]
[8,4,3,6,5,1,7,2]=>[4,3,6,5,1,7,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[8,5,6,3,4,1,7,2]=>[5,6,3,4,1,7,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[8,6,5,4,3,1,7,2]=>[6,5,4,3,1,7,2]=>[[1,2],[3,7],[4],[5],[6]]=>[[1,3,4,5,6],[2,7]]
[1,7,6,5,4,2,3,8]=>[1,7,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[1,8,6,5,2,7,3,4]=>[1,6,5,2,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[8,7,5,4,1,6,3,2]=>[7,5,4,1,6,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]
[7,8,5,4,1,3,6,2]=>[7,5,4,1,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[6,8,5,4,2,1,7,3]=>[6,5,4,2,1,7,3]=>[[1,3],[2,7],[4],[5],[6]]=>[[1,2,4,5,6],[3,7]]
[5,8,6,2,4,1,7,3]=>[5,6,2,4,1,7,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[4,8,2,6,5,1,7,3]=>[4,2,6,5,1,7,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[3,2,8,6,5,1,7,4]=>[3,2,6,5,1,7,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[3,2,1,7,6,4,5,8]=>[3,2,1,7,6,4,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[4,1,3,7,6,2,5,8]=>[4,1,3,7,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[5,1,7,3,6,2,4,8]=>[5,1,7,3,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[6,1,7,5,3,2,4,8]=>[6,1,7,5,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[7,1,6,5,2,4,3,8]=>[7,1,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[8,1,6,5,2,3,7,4]=>[1,6,5,2,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[1,2,7,6,3,4,5,8]=>[1,2,7,6,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[1,2,8,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[8,1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[7,1,8,2,6,4,3,5]=>[7,1,2,6,4,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[6,1,8,2,4,7,3,5]=>[6,1,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[5,1,8,3,2,7,4,6]=>[5,1,3,2,7,4,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[4,1,3,8,2,7,5,6]=>[4,1,3,2,7,5,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[3,2,1,8,4,7,5,6]=>[3,2,1,4,7,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,2,8,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[4,8,2,7,1,6,5,3]=>[4,2,7,1,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6]]
[5,8,7,2,1,6,4,3]=>[5,7,2,1,6,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[6,8,7,1,3,5,4,2]=>[6,7,1,3,5,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[7,8,6,1,5,3,4,2]=>[7,6,1,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[8,7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2]]
[1,8,7,2,6,5,3,4]=>[1,7,2,6,5,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[1,7,8,2,5,6,3,4]=>[1,7,2,5,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[8,6,7,1,4,5,3,2]=>[6,7,1,4,5,3,2]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[7,6,8,1,4,3,5,2]=>[7,6,1,4,3,5,2]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[6,5,8,3,2,1,7,4]=>[6,5,3,2,1,7,4]=>[[1,4],[2,7],[3],[5],[6]]=>[[1,2,3,5,6],[4,7]]
[7,5,8,3,1,4,6,2]=>[7,5,3,1,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[8,5,7,3,1,6,4,2]=>[5,7,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]
[1,6,8,4,2,7,3,5]=>[1,6,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[1,5,4,8,2,7,3,6]=>[1,5,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[8,4,3,7,1,6,5,2]=>[4,3,7,1,6,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[7,4,3,8,1,5,6,2]=>[7,4,3,1,5,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[6,4,3,1,5,2,7,8]=>[6,4,3,1,5,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[7,4,3,1,2,6,5,8]=>[7,4,3,1,2,6,5]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[8,4,3,1,2,5,7,6]=>[4,3,1,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[1,5,4,2,3,6,7,8]=>[1,5,4,2,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[8,5,1,4,2,3,7,6]=>[5,1,4,2,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[7,5,1,4,2,6,3,8]=>[7,5,1,4,2,6,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[6,5,1,4,3,2,7,8]=>[6,5,1,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[5,6,1,3,4,2,7,8]=>[5,6,1,3,4,2,7]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[4,6,2,1,5,3,7,8]=>[4,6,2,1,5,3,7]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[3,2,6,1,5,4,7,8]=>[3,2,6,1,5,4,7]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[3,2,7,1,4,6,5,8]=>[3,2,7,1,4,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[4,7,2,1,3,6,5,8]=>[4,7,2,1,3,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[5,7,1,3,2,6,4,8]=>[5,7,1,3,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[6,7,1,2,4,5,3,8]=>[6,7,1,2,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[7,6,1,2,5,4,3,8]=>[7,6,1,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[8,6,1,2,5,3,7,4]=>[6,1,2,5,3,7,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[1,7,2,3,6,4,5,8]=>[1,7,2,3,6,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[8,7,1,2,3,6,5,4]=>[7,1,2,3,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[7,8,1,2,3,5,6,4]=>[7,1,2,3,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[6,8,1,2,4,3,7,5]=>[6,1,2,4,3,7,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[5,8,1,3,2,4,7,6]=>[5,1,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[4,8,2,1,3,5,7,6]=>[4,2,1,3,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[3,2,8,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[4,1,3,2,5,6,7,8]=>[4,1,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>[[1,3,4],[2],[5],[6],[7]]
[5,1,2,4,3,6,7,8]=>[5,1,2,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[6,1,2,3,5,4,7,8]=>[6,1,2,3,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[7,1,2,3,4,6,5,8]=>[7,1,2,3,4,6,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[8,1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[6,7,3,8,5,1,2,4]=>[6,7,3,5,1,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[6,7,4,5,1,8,3,2]=>[6,7,4,5,1,3,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[5,4,7,6,8,1,2,3]=>[5,4,7,6,1,2,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[5,3,7,8,6,1,2,4]=>[5,3,7,6,1,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[3,8,4,5,7,1,2,6]=>[3,4,5,7,1,2,6]=>[[1,2,5,6],[3,4,7]]=>[[1,3],[2,4],[5,7],[6]]
[3,4,8,6,7,1,2,5]=>[3,4,6,7,1,2,5]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[4,5,6,7,1,8,3,2]=>[4,5,6,7,1,3,2]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[3,5,6,2,7,4,8,1]=>[3,5,6,2,7,4,1]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,5,6,1,7,8,4,2]=>[3,5,6,1,7,4,2]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[2,5,6,1,8,7,4,3]=>[2,5,6,1,7,4,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[2,5,6,8,1,7,3,4]=>[2,5,6,1,7,3,4]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[8,2,4,5,1,6,3,7]=>[2,4,5,1,6,3,7]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[1,4,8,6,2,3,7,5]=>[1,4,6,2,3,7,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[1,5,6,8,2,3,7,4]=>[1,5,6,2,3,7,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[1,5,6,2,8,4,7,3]=>[1,5,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[2,5,6,3,4,7,8,1]=>[2,5,6,3,4,7,1]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[1,4,2,6,8,5,7,3]=>[1,4,2,6,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[8,1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[[1,2,4,6,7],[3,5]]=>[[1,3],[2,5],[4],[6],[7]]
[8,2,3,1,5,6,4,7]=>[2,3,1,5,6,4,7]=>[[1,3,4,6,7],[2,5]]=>[[1,2],[3,5],[4],[6],[7]]
[2,8,3,1,5,7,4,6]=>[2,3,1,5,7,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[2,4,1,6,8,7,5,3]=>[2,4,1,6,7,5,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[3,4,1,6,7,8,5,2]=>[3,4,1,6,7,5,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[4,3,1,7,6,8,5,2]=>[4,3,1,7,6,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[5,2,7,8,1,6,3,4]=>[5,2,7,1,6,3,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[5,3,7,2,6,4,8,1]=>[5,3,7,2,6,4,1]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[6,7,3,1,5,8,4,2]=>[6,7,3,1,5,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[6,7,2,1,8,5,4,3]=>[6,7,2,1,5,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[6,7,2,8,1,5,3,4]=>[6,7,2,1,5,3,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[6,7,8,2,1,4,3,5]=>[6,7,2,1,4,3,5]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[6,7,1,2,8,4,5,3]=>[6,7,1,2,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[6,7,1,3,4,8,5,2]=>[6,7,1,3,4,5,2]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[5,2,7,3,4,6,8,1]=>[5,2,7,3,4,6,1]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[5,1,7,3,4,8,6,2]=>[5,1,7,3,4,6,2]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[5,1,7,8,2,3,6,4]=>[5,1,7,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[4,1,8,7,2,3,6,5]=>[4,1,7,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[3,8,1,2,7,4,5,6]=>[3,1,2,7,4,5,6]=>[[1,2,4,5,6],[3,7]]=>[[1,3],[2,7],[4],[5],[6]]
[4,1,3,7,5,8,6,2]=>[4,1,3,7,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[3,1,4,5,7,8,6,2]=>[3,1,4,5,7,6,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[2,1,8,3,4,7,6,5]=>[2,1,3,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[8,2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[1,8,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[[1,2,3,4,5,6],[7]]=>[[1,7],[2],[3],[4],[5],[6]]
[1,2,8,3,4,6,7,5]=>[1,2,3,4,6,7,5]=>[[1,2,3,4,5,7],[6]]=>[[1,6],[2],[3],[4],[5],[7]]
[4,2,1,6,5,8,7,3]=>[4,2,1,6,5,7,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[5,2,6,1,4,8,7,3]=>[5,2,6,1,4,7,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[5,2,6,4,1,8,7,3]=>[5,2,6,4,1,7,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[5,2,7,4,8,1,6,3]=>[5,2,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[5,2,7,4,8,6,1,3]=>[5,2,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[5,7,2,3,8,6,1,4]=>[5,7,2,3,6,1,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[5,7,2,3,8,1,6,4]=>[5,7,2,3,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[5,6,2,3,1,8,7,4]=>[5,6,2,3,1,7,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[5,6,2,1,3,8,7,4]=>[5,6,2,1,3,7,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[5,1,6,4,2,8,7,3]=>[5,1,6,4,2,7,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[5,6,1,3,2,8,7,4]=>[5,6,1,3,2,7,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[5,6,3,1,2,8,7,4]=>[5,6,3,1,2,7,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[5,6,3,2,1,8,7,4]=>[5,6,3,2,1,7,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,7,3,2,8,1,6,4]=>[5,7,3,2,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[5,7,3,2,8,6,1,4]=>[5,7,3,2,6,1,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[6,7,3,8,2,1,5,4]=>[6,7,3,2,1,5,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[6,7,3,8,1,2,5,4]=>[6,7,3,1,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[5,7,3,1,8,2,6,4]=>[5,7,3,1,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[5,7,1,3,8,2,6,4]=>[5,7,1,3,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[5,1,7,4,8,2,6,3]=>[5,1,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[1,5,7,4,8,3,6,2]=>[1,5,7,4,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[1,5,7,4,8,6,3,2]=>[1,5,7,4,6,3,2]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[5,1,7,4,8,6,2,3]=>[5,1,7,4,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[5,7,1,3,8,6,2,4]=>[5,7,1,3,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[5,7,3,1,8,6,2,4]=>[5,7,3,1,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[6,7,3,8,1,5,2,4]=>[6,7,3,1,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[6,7,3,8,5,2,1,4]=>[6,7,3,5,2,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[6,7,8,3,1,4,2,5]=>[6,7,3,1,4,2,5]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[6,7,1,8,3,5,2,4]=>[6,7,1,3,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[6,1,7,8,4,5,2,3]=>[6,1,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[1,6,7,8,4,5,3,2]=>[1,6,7,4,5,3,2]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[1,6,7,8,4,3,5,2]=>[1,6,7,4,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[6,1,7,8,4,2,5,3]=>[6,1,7,4,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[6,7,1,8,3,2,5,4]=>[6,7,1,3,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[5,7,2,1,8,3,6,4]=>[5,7,2,1,3,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[6,7,2,8,1,3,5,4]=>[6,7,2,1,3,5,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[6,7,2,8,3,1,5,4]=>[6,7,2,3,1,5,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[6,7,2,8,3,5,1,4]=>[6,7,2,3,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[6,2,7,8,4,5,1,3]=>[6,2,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[6,2,7,8,4,1,5,3]=>[6,2,7,4,1,5,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[6,2,7,8,1,4,5,3]=>[6,2,7,1,4,5,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[5,2,7,1,8,4,6,3]=>[5,2,7,1,4,6,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[4,2,1,7,8,5,6,3]=>[4,2,1,7,5,6,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[4,1,2,7,8,6,5,3]=>[4,1,2,7,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[6,2,7,8,1,5,4,3]=>[6,2,7,1,5,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[6,2,7,8,5,1,4,3]=>[6,2,7,5,1,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[6,2,7,8,5,4,1,3]=>[6,2,7,5,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[6,7,2,8,5,3,1,4]=>[6,7,2,5,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[5,7,2,1,8,6,3,4]=>[5,7,2,1,6,3,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[5,7,1,2,8,6,3,4]=>[5,7,1,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[5,1,7,2,8,6,4,3]=>[5,1,7,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[1,5,7,3,8,6,4,2]=>[1,5,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[1,6,7,8,3,5,4,2]=>[1,6,7,3,5,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[6,1,7,8,2,5,4,3]=>[6,1,7,2,5,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[6,7,1,8,2,5,3,4]=>[6,7,1,2,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[6,7,8,2,4,1,3,5]=>[6,7,2,4,1,3,5]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[6,7,8,2,4,3,1,5]=>[6,7,2,4,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[6,7,1,8,5,2,3,4]=>[6,7,1,5,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[6,1,7,8,5,2,4,3]=>[6,1,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[1,6,7,8,5,3,4,2]=>[1,6,7,5,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[6,1,7,8,5,4,2,3]=>[6,1,7,5,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[6,7,1,8,5,3,2,4]=>[6,7,1,5,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[6,7,8,4,1,3,2,5]=>[6,7,4,1,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[6,3,8,5,2,7,4,1]=>[6,3,5,2,7,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[6,5,2,8,4,7,3,1]=>[6,5,2,4,7,3,1]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3],[7]]
[6,3,4,5,8,7,2,1]=>[6,3,4,5,7,2,1]=>[[1,4,5,7],[2],[3],[6]]=>[[1,2,3,6],[4],[5],[7]]
[3,8,4,7,5,2,1,6]=>[3,4,7,5,2,1,6]=>[[1,4,5,6],[2],[3],[7]]=>[[1,2,3,7],[4],[5],[6]]
[5,8,1,4,7,2,3,6]=>[5,1,4,7,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[5,6,1,4,8,7,3,2]=>[5,6,1,4,7,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[3,6,4,8,5,7,1,2]=>[3,6,4,5,7,1,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[5,1,4,8,6,3,7,2]=>[5,1,4,6,3,7,2]=>[[1,2,6,7],[3],[4],[5]]=>[[1,3,4,5],[2],[6],[7]]
[3,4,7,1,8,6,5,2]=>[3,4,7,1,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[6,3,8,4,2,7,1,5]=>[6,3,4,2,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[3,6,8,7,1,4,2,5]=>[3,6,7,1,4,2,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[5,3,7,1,6,8,2,4]=>[5,3,7,1,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[4,3,8,5,6,7,2,1]=>[4,3,5,6,7,2,1]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[5,8,1,7,6,2,4,3]=>[5,1,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[4,6,1,2,7,8,5,3]=>[4,6,1,2,7,5,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[3,6,4,2,8,7,5,1]=>[3,6,4,2,7,5,1]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[6,3,7,5,2,8,1,4]=>[6,3,7,5,2,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[6,5,2,7,4,8,1,3]=>[6,5,2,7,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[5,7,1,4,8,3,2,6]=>[5,7,1,4,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[7,8,3,5,1,4,6,2]=>[7,3,5,1,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[5,8,1,4,6,7,2,3]=>[5,1,4,6,7,2,3]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[6,5,8,4,3,7,2,1]=>[6,5,4,3,7,2,1]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7]]
[6,3,7,4,2,8,5,1]=>[6,3,7,4,2,5,1]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[8,7,1,6,2,4,5,3]=>[7,1,6,2,4,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[3,8,6,7,1,4,5,2]=>[3,6,7,1,4,5,2]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[5,3,8,7,4,1,2,6]=>[5,3,7,4,1,2,6]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[4,3,8,7,1,5,6,2]=>[4,3,7,1,5,6,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[8,3,6,1,2,5,7,4]=>[3,6,1,2,5,7,4]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[5,6,1,8,7,3,2,4]=>[5,6,1,7,3,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[5,4,2,7,3,6,8,1]=>[5,4,2,7,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[7,5,3,6,4,2,8,1]=>[7,5,3,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[6,4,1,5,3,8,2,7]=>[6,4,1,5,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[8,5,2,6,4,7,3,1]=>[5,2,6,4,7,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[8,2,6,3,4,7,5,1]=>[2,6,3,4,7,5,1]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[7,2,6,3,5,4,8,1]=>[7,2,6,3,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4]]
[6,2,7,4,3,5,8,1]=>[6,2,7,4,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[5,7,3,6,4,2,8,1]=>[5,7,3,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[3,7,6,4,5,2,8,1]=>[3,7,6,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[[1,2,3,6,7],[4],[5]]
[2,7,6,5,3,4,8,1]=>[2,7,6,5,3,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4]]
[6,5,4,3,1,8,2,7]=>[6,5,4,3,1,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[8,6,5,4,2,7,3,1]=>[6,5,4,2,7,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>[[1,2,4,5,6],[3,7]]
[8,5,4,1,7,2,6,3]=>[5,4,1,7,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[7,5,4,1,8,3,2,6]=>[7,5,4,1,3,2,6]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[1,6,5,2,8,3,4,7]=>[1,6,5,2,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[5,7,4,2,1,8,3,6]=>[5,7,4,2,1,3,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[1,6,5,3,4,8,2,7]=>[1,6,5,3,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7]]
[5,4,6,3,1,8,2,7]=>[5,4,6,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[6,5,8,4,2,7,3,1]=>[6,5,4,2,7,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>[[1,2,4,5,6],[3,7]]
[5,8,2,6,4,7,3,1]=>[5,2,6,4,7,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[3,8,6,2,5,7,4,1]=>[3,6,2,5,7,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[7,8,5,3,2,6,4,1]=>[7,5,3,2,6,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[6,8,3,1,7,2,5,4]=>[6,3,1,7,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[1,8,6,3,7,5,2,4]=>[1,6,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[8,7,5,2,6,4,3,1]=>[7,5,2,6,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]
[8,7,1,6,2,5,4,3]=>[7,1,6,2,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[7,8,1,6,3,2,5,4]=>[7,1,6,3,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[2,8,1,7,3,5,6,4]=>[2,1,7,3,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[3,8,6,1,7,4,5,2]=>[3,6,1,7,4,5,2]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[4,8,1,3,7,2,6,5]=>[4,1,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[4,2,8,5,7,3,6,1]=>[4,2,5,7,3,6,1]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[5,1,7,6,8,3,2,4]=>[5,1,7,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[3,7,1,5,8,4,2,6]=>[3,7,1,5,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[6,7,3,1,8,4,2,5]=>[6,7,3,1,4,2,5]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[1,7,3,8,4,5,2,6]=>[1,7,3,4,5,2,6]=>[[1,2,4,5,6],[3],[7]]=>[[1,3,7],[2],[4],[5],[6]]
[1,7,2,8,5,3,4,6]=>[1,7,2,5,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[7,6,1,8,4,3,2,5]=>[7,6,1,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[8,6,1,7,4,2,5,3]=>[6,1,7,4,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[8,1,2,7,3,4,6,5]=>[1,2,7,3,4,6,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[7,1,2,8,3,5,4,6]=>[7,1,2,3,5,4,6]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[7,2,6,1,8,4,3,5]=>[7,2,6,1,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[8,2,6,1,7,3,5,4]=>[2,6,1,7,3,5,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[8,3,1,4,7,5,6,2]=>[3,1,4,7,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[7,3,1,5,8,4,2,6]=>[7,3,1,5,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[4,2,1,5,8,3,6,7]=>[4,2,1,5,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[5,4,2,7,1,8,3,6]=>[5,4,2,7,1,3,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[5,4,3,1,6,8,2,7]=>[5,4,3,1,6,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[4,7,5,6,8,3,2,1]=>[4,7,5,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[6,5,4,8,2,7,3,1]=>[6,5,4,2,7,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>[[1,2,4,5,6],[3,7]]
[6,5,2,8,7,3,4,1]=>[6,5,2,7,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[6,5,1,8,7,4,2,3]=>[6,5,1,7,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[8,6,4,7,5,3,2,1]=>[6,4,7,5,3,2,1]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[5,1,8,3,7,6,2,4]=>[5,1,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[5,4,8,1,7,2,6,3]=>[5,4,1,7,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[7,5,8,3,2,6,4,1]=>[7,5,3,2,6,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[3,6,8,2,4,7,5,1]=>[3,6,2,4,7,5,1]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[5,7,3,8,2,6,4,1]=>[5,7,3,2,6,4,1]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[5,4,6,8,2,7,3,1]=>[5,4,6,2,7,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,2,6,8,7,3,4,1]=>[5,2,6,7,3,4,1]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[4,7,2,8,6,3,5,1]=>[4,7,2,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[3,6,8,1,7,2,5,4]=>[3,6,1,7,2,5,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[2,3,8,7,4,5,6,1]=>[2,3,7,4,5,6,1]=>[[1,3,4,5,6],[2],[7]]=>[[1,2,7],[3],[4],[5],[6]]
[7,2,8,6,4,3,5,1]=>[7,2,6,4,3,5,1]=>[[1,3,5],[2],[4],[6],[7]]=>[[1,2,4,6,7],[3],[5]]
[2,1,8,7,5,6,3,4]=>[2,1,7,5,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[8,2,7,6,3,5,4,1]=>[2,7,6,3,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4]]
[8,1,7,6,5,2,4,3]=>[1,7,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[7,1,8,6,5,3,2,4]=>[7,1,6,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[1,2,8,7,6,3,4,5]=>[1,2,7,6,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[1,3,8,7,4,6,2,5]=>[1,3,7,4,6,2,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[1,5,8,3,7,6,2,4]=>[1,5,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[5,1,6,8,7,4,2,3]=>[5,1,6,7,4,2,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[6,8,4,7,5,3,2,1]=>[6,4,7,5,3,2,1]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[6,8,7,2,5,4,3,1]=>[6,7,2,5,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>[[1,2,4,5,6],[3,7]]
[3,8,7,6,4,5,2,1]=>[3,7,6,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[[1,2,3,6,7],[4],[5]]
[2,8,7,6,5,3,4,1]=>[2,7,6,5,3,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4]]
[1,8,7,6,5,4,2,3]=>[1,7,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[5,8,6,7,3,4,1,2]=>[5,6,7,3,4,1,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[4,8,6,7,3,5,1,2]=>[4,6,7,3,5,1,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[3,8,6,7,4,5,1,2]=>[3,6,7,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[2,8,6,7,4,5,1,3]=>[2,6,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[1,8,6,7,4,5,2,3]=>[1,6,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[1,8,5,7,4,6,2,3]=>[1,5,7,4,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[3,8,5,7,4,6,1,2]=>[3,5,7,4,6,1,2]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[4,8,5,7,3,6,1,2]=>[4,5,7,3,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[7,8,3,6,4,5,1,2]=>[7,3,6,4,5,1,2]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[6,8,3,7,4,5,1,2]=>[6,3,7,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[5,8,3,7,4,6,1,2]=>[5,3,7,4,6,1,2]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[3,7,4,8,5,6,1,2]=>[3,7,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[4,7,3,8,5,6,1,2]=>[4,7,3,5,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[4,7,2,8,5,6,1,3]=>[4,7,2,5,6,1,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[4,7,1,8,5,6,2,3]=>[4,7,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[3,7,1,8,5,6,2,4]=>[3,7,1,5,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[3,7,2,8,5,6,1,4]=>[3,7,2,5,6,1,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[2,7,3,8,5,6,1,4]=>[2,7,3,5,6,1,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[2,7,4,8,5,6,1,3]=>[2,7,4,5,6,1,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[5,8,2,7,4,6,1,3]=>[5,2,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[6,8,2,7,4,5,1,3]=>[6,2,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[7,8,2,6,4,5,1,3]=>[7,2,6,4,5,1,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[7,8,1,6,4,5,2,3]=>[7,1,6,4,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[6,8,1,7,4,5,2,3]=>[6,1,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[5,8,1,7,4,6,2,3]=>[5,1,7,4,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[1,7,4,8,5,6,2,3]=>[1,7,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[1,7,3,8,5,6,2,4]=>[1,7,3,5,6,2,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[2,8,5,6,1,7,3,4]=>[2,5,6,1,7,3,4]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[1,8,5,6,2,7,3,4]=>[1,5,6,2,7,3,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[1,7,3,8,4,6,2,5]=>[1,7,3,4,6,2,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[4,8,1,7,3,6,2,5]=>[4,1,7,3,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[5,8,1,7,3,6,2,4]=>[5,1,7,3,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[6,8,1,7,3,5,2,4]=>[6,1,7,3,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[7,8,2,6,3,5,1,4]=>[7,2,6,3,5,1,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[6,8,2,7,3,5,1,4]=>[6,2,7,3,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[5,8,2,7,3,6,1,4]=>[5,2,7,3,6,1,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[4,8,2,7,3,6,1,5]=>[4,2,7,3,6,1,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[2,7,3,8,4,6,1,5]=>[2,7,3,4,6,1,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[3,7,2,8,4,6,1,5]=>[3,7,2,4,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,7,1,8,4,6,2,5]=>[3,7,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[1,8,4,7,3,6,2,5]=>[1,4,7,3,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[2,8,4,7,3,6,1,5]=>[2,4,7,3,6,1,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[3,8,4,7,2,6,1,5]=>[3,4,7,2,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[4,8,5,7,2,6,1,3]=>[4,5,7,2,6,1,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[3,8,5,7,2,6,1,4]=>[3,5,7,2,6,1,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[2,8,5,7,3,6,1,4]=>[2,5,7,3,6,1,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[1,8,5,7,3,6,2,4]=>[1,5,7,3,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[1,8,6,7,3,5,2,4]=>[1,6,7,3,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[2,8,6,7,3,5,1,4]=>[2,6,7,3,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[3,8,6,7,2,5,1,4]=>[3,6,7,2,5,1,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[4,8,6,7,2,5,1,3]=>[4,6,7,2,5,1,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[5,8,6,7,2,4,1,3]=>[5,6,7,2,4,1,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[6,8,5,7,1,4,2,3]=>[6,5,7,1,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[5,8,6,7,1,4,2,3]=>[5,6,7,1,4,2,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[4,8,6,7,1,5,2,3]=>[4,6,7,1,5,2,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[3,8,6,7,1,5,2,4]=>[3,6,7,1,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[1,5,2,8,6,7,3,4]=>[1,5,2,6,7,3,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[2,5,1,8,6,7,3,4]=>[2,5,1,6,7,3,4]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[2,6,1,8,5,7,3,4]=>[2,6,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[1,6,2,8,5,7,3,4]=>[1,6,2,5,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[3,8,5,7,1,6,2,4]=>[3,5,7,1,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[6,8,4,7,1,5,2,3]=>[6,4,7,1,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[7,8,4,6,1,5,2,3]=>[7,4,6,1,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[7,8,3,6,1,5,2,4]=>[7,3,6,1,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[6,8,3,7,1,5,2,4]=>[6,3,7,1,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[4,8,3,7,1,6,2,5]=>[4,3,7,1,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[3,8,4,7,1,6,2,5]=>[3,4,7,1,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[1,6,2,8,4,7,3,5]=>[1,6,2,4,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[2,6,1,8,4,7,3,5]=>[2,6,1,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[3,7,2,6,1,8,4,5]=>[3,7,2,6,1,4,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,7,1,6,2,8,4,5]=>[3,7,1,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[4,8,1,6,2,7,3,5]=>[4,1,6,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[5,8,1,6,2,7,3,4]=>[5,1,6,2,7,3,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[7,8,1,5,2,6,3,4]=>[7,1,5,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[7,8,2,5,1,6,3,4]=>[7,2,5,1,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[6,8,2,5,1,7,3,4]=>[6,2,5,1,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[5,8,2,6,1,7,3,4]=>[5,2,6,1,7,3,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[4,8,2,6,1,7,3,5]=>[4,2,6,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[1,7,3,6,2,8,4,5]=>[1,7,3,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[2,7,3,6,1,8,4,5]=>[2,7,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8]]=>[[1],[2],[3],[4],[5],[6],[7],[8]]
[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,8,7]=>[[1,2,3,4,5,6,7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]
[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,7,8,6]=>[[1,2,3,4,5,6,8],[7]]=>[[1,7],[2],[3],[4],[5],[6],[8]]
[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,6,7,8,5]=>[[1,2,3,4,5,7,8],[6]]=>[[1,6],[2],[3],[4],[5],[7],[8]]
[1,2,3,5,6,7,8,9,4]=>[1,2,3,5,6,7,8,4]=>[[1,2,3,4,6,7,8],[5]]=>[[1,5],[2],[3],[4],[6],[7],[8]]
[1,2,4,5,6,7,8,9,3]=>[1,2,4,5,6,7,8,3]=>[[1,2,3,5,6,7,8],[4]]=>[[1,4],[2],[3],[5],[6],[7],[8]]
[1,3,4,5,6,7,8,9,2]=>[1,3,4,5,6,7,8,2]=>[[1,2,4,5,6,7,8],[3]]=>[[1,3],[2],[4],[5],[6],[7],[8]]
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9]]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]
[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,8,7]=>[[1,2,3,4,5,6,7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]
[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]
[1,2,3,4,5,8,7,9,6]=>[1,2,3,4,5,8,7,6]=>[[1,2,3,4,5,6],[7],[8]]=>[[1,7,8],[2],[3],[4],[5],[6]]
[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,8,9,7]=>[[1,2,3,4,5,6,7,9],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7],[9]]
[1,2,3,4,7,6,8,9,5]=>[1,2,3,4,7,6,8,5]=>[[1,2,3,4,5,8],[6],[7]]=>[[1,6,7],[2],[3],[4],[5],[8]]
[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,7,8,9,6]=>[[1,2,3,4,5,6,8,9],[7]]=>[[1,7],[2],[3],[4],[5],[6],[8],[9]]
[1,2,3,6,5,7,8,9,4]=>[1,2,3,6,5,7,8,4]=>[[1,2,3,4,7,8],[5],[6]]=>[[1,5,6],[2],[3],[4],[7],[8]]
[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,6,7,8,9,5]=>[[1,2,3,4,5,7,8,9],[6]]=>[[1,6],[2],[3],[4],[5],[7],[8],[9]]
[1,2,5,4,6,7,8,9,3]=>[1,2,5,4,6,7,8,3]=>[[1,2,3,6,7,8],[4],[5]]=>[[1,4,5],[2],[3],[6],[7],[8]]
[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,5,6,7,8,9,4]=>[[1,2,3,4,6,7,8,9],[5]]=>[[1,5],[2],[3],[4],[6],[7],[8],[9]]
[1,4,3,5,6,7,8,9,2]=>[1,4,3,5,6,7,8,2]=>[[1,2,5,6,7,8],[3],[4]]=>[[1,3,4],[2],[5],[6],[7],[8]]
[1,2,4,5,6,7,8,9,10,3]=>[1,2,4,5,6,7,8,9,3]=>[[1,2,3,5,6,7,8,9],[4]]=>[[1,4],[2],[3],[5],[6],[7],[8],[9]]
[3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,1]=>[[1,4,5,6,7,8],[2],[3]]=>[[1,2,3],[4],[5],[6],[7],[8]]
[1,3,4,5,6,7,8,9,10,2]=>[1,3,4,5,6,7,8,9,2]=>[[1,2,4,5,6,7,8,9],[3]]=>[[1,3],[2],[4],[5],[6],[7],[8],[9]]
[6,7,4,8,3,5,1,2]=>[6,7,4,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[6,7,4,5,2,8,1,3]=>[6,7,4,5,2,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[5,7,4,6,2,3,1,8]=>[5,7,4,6,2,3,1]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[5,7,4,6,3,8,1,2]=>[5,7,4,6,3,1,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[5,7,4,8,3,6,1,2]=>[5,7,4,3,6,1,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[6,8,4,5,3,7,1,2]=>[6,4,5,3,7,1,2]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[5,8,4,6,3,7,1,2]=>[5,4,6,3,7,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,6,4,8,3,7,1,2]=>[5,6,4,3,7,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,6,3,7,2,4,1,8]=>[5,6,3,7,2,4,1]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,6,3,7,2,8,1,4]=>[5,6,3,7,2,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,6,3,8,2,7,1,4]=>[5,6,3,2,7,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,6,4,8,2,7,1,3]=>[5,6,4,2,7,1,3]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,8,4,6,2,7,1,3]=>[5,4,6,2,7,1,3]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[6,8,4,5,2,7,1,3]=>[6,4,5,2,7,1,3]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[7,8,4,5,2,6,1,3]=>[7,4,5,2,6,1,3]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[6,8,4,5,2,3,1,7]=>[6,4,5,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[5,8,4,6,2,3,1,7]=>[5,4,6,2,3,1,7]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,6,4,8,2,3,1,7]=>[5,6,4,2,3,1,7]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,6,3,8,2,4,1,7]=>[5,6,3,2,4,1,7]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,6,3,4,2,8,1,7]=>[5,6,3,4,2,1,7]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[4,6,3,5,2,7,1,8]=>[4,6,3,5,2,7,1]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,6,3,5,2,8,1,7]=>[4,6,3,5,2,1,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,6,3,8,2,5,1,7]=>[4,6,3,2,5,1,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,8,3,6,2,5,1,7]=>[4,3,6,2,5,1,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[5,8,3,6,2,4,1,7]=>[5,3,6,2,4,1,7]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[6,8,3,5,2,4,1,7]=>[6,3,5,2,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[7,8,3,5,2,4,1,6]=>[7,3,5,2,4,1,6]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[7,8,3,5,2,6,1,4]=>[7,3,5,2,6,1,4]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[5,8,3,6,2,7,1,4]=>[5,3,6,2,7,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[4,8,3,6,2,7,1,5]=>[4,3,6,2,7,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,6,3,8,2,7,1,5]=>[4,6,3,2,7,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,6,3,7,2,8,1,5]=>[4,6,3,7,2,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,7,3,6,2,5,1,8]=>[4,7,3,6,2,5,1]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[4,7,3,6,2,8,1,5]=>[4,7,3,6,2,1,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[4,7,3,8,2,6,1,5]=>[4,7,3,2,6,1,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[5,7,4,8,2,6,1,3]=>[5,7,4,2,6,1,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[5,7,3,6,2,8,1,4]=>[5,7,3,6,2,1,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[5,7,3,6,2,4,1,8]=>[5,7,3,6,2,4,1]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[6,7,3,5,2,4,1,8]=>[6,7,3,5,2,4,1]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[6,7,3,5,2,8,1,4]=>[6,7,3,5,2,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[6,7,4,8,2,5,1,3]=>[6,7,4,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[6,7,5,8,2,4,1,3]=>[6,7,5,2,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[6,8,5,7,2,3,1,4]=>[6,5,7,2,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[6,7,4,8,2,3,1,5]=>[6,7,4,2,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[6,7,3,8,2,4,1,5]=>[6,7,3,2,4,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[6,7,3,4,2,8,1,5]=>[6,7,3,4,2,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[5,7,3,4,2,6,1,8]=>[5,7,3,4,2,6,1]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[5,7,3,4,2,8,1,6]=>[5,7,3,4,2,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[5,7,4,8,2,3,1,6]=>[5,7,4,2,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[5,8,4,7,2,3,1,6]=>[5,4,7,2,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[6,8,4,7,2,3,1,5]=>[6,4,7,2,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[7,8,4,6,2,3,1,5]=>[7,4,6,2,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[7,8,3,6,2,4,1,5]=>[7,3,6,2,4,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[6,8,3,7,2,4,1,5]=>[6,3,7,2,4,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[5,8,3,7,2,4,1,6]=>[5,3,7,2,4,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[4,8,3,7,2,5,1,6]=>[4,3,7,2,5,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,7,3,8,2,5,1,6]=>[4,7,3,2,5,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,7,3,5,2,8,1,6]=>[4,7,3,5,2,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,7,3,5,2,6,1,8]=>[4,7,3,5,2,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,5,3,7,2,6,1,8]=>[4,5,3,7,2,6,1]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,5,3,7,2,8,1,6]=>[4,5,3,7,2,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,5,3,8,2,7,1,6]=>[4,5,3,2,7,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,8,3,5,2,7,1,6]=>[4,3,5,2,7,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[5,8,3,4,2,7,1,6]=>[5,3,4,2,7,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[6,8,3,4,2,7,1,5]=>[6,3,4,2,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[7,8,3,4,2,6,1,5]=>[7,3,4,2,6,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[6,8,3,4,2,5,1,7]=>[6,3,4,2,5,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[[1,2,3,6],[4],[5],[7]]
[5,8,3,4,2,6,1,7]=>[5,3,4,2,6,1,7]=>[[1,4,6,7],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7]]
[4,8,3,5,2,6,1,7]=>[4,3,5,2,6,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[4,5,3,8,2,6,1,7]=>[4,5,3,2,6,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[4,5,3,6,2,8,1,7]=>[4,5,3,6,2,1,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[4,7,5,2,1,8,3,6]=>[4,7,5,2,1,3,6]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[4,8,5,2,1,7,6,3]=>[4,5,2,1,7,6,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[4,6,5,2,1,3,8,7]=>[4,6,5,2,1,3,7]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[5,6,4,2,3,1,8,7]=>[5,6,4,2,3,1,7]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[6,4,5,3,1,2,8,7]=>[6,4,5,3,1,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[5,4,6,1,3,2,8,7]=>[5,4,6,1,3,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[4,6,8,1,7,3,2,5]=>[4,6,1,7,3,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[4,7,8,1,6,3,5,2]=>[4,7,1,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[7,4,8,1,6,5,3,2]=>[7,4,1,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[[1,3,4,6,7],[2,5]]
[5,4,8,1,3,7,6,2]=>[5,4,1,3,7,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[8,4,5,3,1,7,6,2]=>[4,5,3,1,7,6,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[5,4,7,1,3,8,2,6]=>[5,4,7,1,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[6,4,8,1,7,5,2,3]=>[6,4,1,7,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[5,6,8,7,2,1,3,4]=>[5,6,7,2,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[8,5,7,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]
[8,4,6,3,7,2,1,5]=>[4,6,3,7,2,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[6,3,2,8,7,4,1,5]=>[6,3,2,7,4,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[2,1,6,8,7,4,3,5]=>[2,1,6,7,4,3,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[2,1,7,8,6,4,5,3]=>[2,1,7,6,4,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[7,3,2,8,6,4,5,1]=>[7,3,2,6,4,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[7,6,8,5,2,4,3,1]=>[7,6,5,2,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>[[1,2,4,5,6,7],[3]]
[5,7,8,6,2,3,1,4]=>[5,7,6,2,3,1,4]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[5,8,7,6,3,2,1,4]=>[5,7,6,3,2,1,4]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[6,8,7,5,3,2,4,1]=>[6,7,5,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6]]=>[[1,2,3,5,6],[4,7]]
[5,8,4,2,3,7,6,1]=>[5,4,2,3,7,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[7,8,4,2,6,5,3,1]=>[7,4,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[[1,2,4,6,7],[3,5]]
[4,8,7,2,6,3,5,1]=>[4,7,2,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[4,8,6,2,7,3,1,5]=>[4,6,2,7,3,1,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[3,6,1,8,7,4,2,5]=>[3,6,1,7,4,2,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[3,7,1,8,6,4,5,2]=>[3,7,1,6,4,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[3,8,1,6,7,5,2,4]=>[3,1,6,7,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[3,7,1,6,8,2,5,4]=>[3,7,1,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[4,7,6,2,8,1,3,5]=>[4,7,6,2,1,3,5]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[6,7,4,2,8,1,5,3]=>[6,7,4,2,1,5,3]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[6,8,4,2,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[2,1,8,6,7,5,3,4]=>[2,1,6,7,5,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[8,3,2,6,7,5,1,4]=>[3,2,6,7,5,1,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[8,6,4,3,7,5,1,2]=>[6,4,3,7,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[5,8,6,7,3,1,2,4]=>[5,6,7,3,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[6,7,5,8,1,3,4,2]=>[6,7,5,1,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[7,6,5,8,1,4,3,2]=>[7,6,5,1,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2]]
[8,6,5,7,4,1,3,2]=>[6,5,7,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>[[1,3,4,5,6],[2,7]]
[7,6,4,3,8,1,5,2]=>[7,6,4,3,1,5,2]=>[[1,2],[3,5],[4],[6],[7]]=>[[1,3,4,6,7],[2,5]]
[7,3,2,6,8,1,5,4]=>[7,3,2,6,1,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[2,1,7,6,8,3,5,4]=>[2,1,7,6,3,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[7,5,6,8,1,4,2,3]=>[7,5,6,1,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[6,5,7,8,1,2,4,3]=>[6,5,7,1,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[8,1,3,7,4,6,5,2]=>[1,3,7,4,6,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[5,2,8,7,4,6,1,3]=>[5,2,7,4,6,1,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[1,6,2,5,4,7,3,8]=>[1,6,2,5,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[6,2,7,5,4,8,3,1]=>[6,2,7,5,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>[[1,2,4,5,6],[3,7]]
[8,1,3,5,4,7,6,2]=>[1,3,5,4,7,6,2]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[6,1,5,4,3,8,7,2]=>[6,1,5,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[6,1,8,3,4,5,7,2]=>[6,1,3,4,5,7,2]=>[[1,2,4,5,7],[3],[6]]=>[[1,3,6],[2],[4],[5],[7]]
[7,1,5,3,4,8,6,2]=>[7,1,5,3,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]
[7,1,4,3,5,6,8,2]=>[7,1,4,3,5,6,2]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[8,1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3]]=>[[1,3],[2],[4],[5],[6],[7]]
[1,7,2,4,5,6,3,8]=>[1,7,2,4,5,6,3]=>[[1,2,3,5,6],[4],[7]]=>[[1,4,7],[2],[3],[5],[6]]
[6,3,2,7,5,1,8,4]=>[6,3,2,7,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[8,4,7,2,5,6,1,3]=>[4,7,2,5,6,1,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[6,5,8,2,4,7,3,1]=>[6,5,2,4,7,3,1]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3],[7]]
[8,5,2,1,4,3,7,6]=>[5,2,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[6,5,2,8,4,1,3,7]=>[6,5,2,4,1,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[5,6,2,1,4,8,3,7]=>[5,6,2,1,4,3,7]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[3,6,1,8,5,2,4,7]=>[3,6,1,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[1,2,6,3,5,4,7,8]=>[1,2,6,3,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[3,4,1,2,8,6,5,7]=>[3,4,1,2,6,5,7]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[4,3,1,2,6,8,5,7]=>[4,3,1,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[5,8,1,6,3,2,4,7]=>[5,1,6,3,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[6,3,8,5,2,1,4,7]=>[6,3,5,2,1,4,7]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[8,3,1,5,2,4,7,6]=>[3,1,5,2,4,7,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[3,8,2,6,1,5,7,4]=>[3,2,6,1,5,7,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[3,8,6,7,2,1,5,4]=>[3,6,7,2,1,5,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[8,5,6,4,2,1,7,3]=>[5,6,4,2,1,7,3]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[7,2,5,8,3,1,6,4]=>[7,2,5,3,1,6,4]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[1,7,5,6,3,2,4,8]=>[1,7,5,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[6,1,2,3,8,5,7,4]=>[6,1,2,3,5,7,4]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[7,1,2,3,6,5,8,4]=>[7,1,2,3,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[7,2,1,3,8,6,4,5]=>[7,2,1,3,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[1,5,7,3,2,4,6,8]=>[1,5,7,3,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[5,2,7,3,1,8,4,6]=>[5,2,7,3,1,4,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[5,8,2,4,1,3,7,6]=>[5,2,4,1,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[8,7,2,6,3,4,1,5]=>[7,2,6,3,4,1,5]=>[[1,3,4,5],[2],[6],[7]]=>[[1,2,6,7],[3],[4],[5]]
[4,8,1,6,3,2,7,5]=>[4,1,6,3,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[3,1,8,6,4,2,7,5]=>[3,1,6,4,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[8,1,6,7,4,3,2,5]=>[1,6,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[3,5,8,7,2,4,1,6]=>[3,5,7,2,4,1,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[4,2,1,3,7,8,5,6]=>[4,2,1,3,7,5,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[2,4,1,3,8,7,5,6]=>[2,4,1,3,7,5,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[2,5,8,3,1,7,4,6]=>[2,5,3,1,7,4,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[8,6,1,3,7,2,4,5]=>[6,1,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[2,8,1,3,6,4,7,5]=>[2,1,3,6,4,7,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[6,8,2,3,4,1,5,7]=>[6,2,3,4,1,5,7]=>[[1,3,4,5,7],[2],[6]]=>[[1,2,6],[3],[4],[5],[7]]
[5,1,8,3,2,4,6,7]=>[5,1,3,2,4,6,7]=>[[1,2,4,6,7],[3],[5]]=>[[1,3,5],[2],[4],[6],[7]]
[9,8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3,4,5,6,7,8]]
[8,9,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3,4,5,6,7,8]]
[8,7,9,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3,4,5,6,7,8]]
[8,7,6,9,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3,4,5,6,7,8]]
[8,7,6,5,9,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3,4,5,6,7,8]]
[8,7,6,5,4,9,3,2,1]=>[8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3,4,5,6,7,8]]
[8,7,6,5,4,3,9,2,1]=>[8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3,4,5,6,7,8]]
[8,7,6,5,4,3,2,9,1]=>[8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3,4,5,6,7,8]]
[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3,4,5,6,7,8]]
[9,10,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2,3,4,5,6,7,8,9]]
[7,8,9,6,5,4,3,2,1]=>[7,8,6,5,4,3,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[[1,2,3,4,5,6,7],[8]]
[9,8,10,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2,3,4,5,6,7,8,9]]
[8,6,7,9,5,4,3,2,1]=>[8,6,7,5,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[[1,2,3,4,5,6,8],[7]]
[9,8,7,10,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2,3,4,5,6,7,8,9]]
[8,7,5,6,9,4,3,2,1]=>[8,7,5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[[1,2,3,4,5,7,8],[6]]
[9,8,7,6,10,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2,3,4,5,6,7,8,9]]
[8,7,6,4,5,9,3,2,1]=>[8,7,6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[[1,2,3,4,6,7,8],[5]]
[9,8,7,6,5,10,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2,3,4,5,6,7,8,9]]
[8,7,6,5,3,4,9,2,1]=>[8,7,6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>[[1,2,3,5,6,7,8],[4]]
[9,8,7,6,5,4,10,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2,3,4,5,6,7,8,9]]
[8,7,6,5,4,2,3,9,1]=>[8,7,6,5,4,2,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>[[1,2,4,5,6,7,8],[3]]
[9,8,7,6,5,4,3,10,2,1]=>[9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2,3,4,5,6,7,8,9]]
[8,7,6,5,4,3,1,2,9]=>[8,7,6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[[1,3,4,5,6,7,8],[2]]
[9,8,7,6,5,4,3,2,10,1]=>[9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2,3,4,5,6,7,8,9]]
[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,2,3,4,5,6,7,8,9]]
[1,4,2,7,8,6,3,5]=>[1,4,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[1,6,2,4,8,5,3,7]=>[1,6,2,4,5,3,7]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[1,6,2,4,7,5,3,8]=>[1,6,2,4,7,5,3]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[1,7,3,8,5,2,4,6]=>[1,7,3,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[1,7,3,2,8,6,4,5]=>[1,7,3,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[4,2,5,7,8,6,1,3]=>[4,2,5,7,6,1,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[7,2,3,1,8,5,6,4]=>[7,2,3,1,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[8,2,5,1,7,3,4,6]=>[2,5,1,7,3,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[6,2,1,8,3,4,7,5]=>[6,2,1,3,4,7,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[6,2,8,3,5,1,7,4]=>[6,2,3,5,1,7,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[6,2,4,8,5,7,1,3]=>[6,2,4,5,7,1,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[1,3,6,4,8,5,7,2]=>[1,3,6,4,5,7,2]=>[[1,2,4,5,7],[3],[6]]=>[[1,3,6],[2],[4],[5],[7]]
[1,3,6,4,7,5,8,2]=>[1,3,6,4,7,5,2]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[6,2,4,7,5,8,1,3]=>[6,2,4,7,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[6,2,1,3,7,8,4,5]=>[6,2,1,3,7,4,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[7,8,2,1,4,3,5,6]=>[7,2,1,4,3,5,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[7,6,4,2,3,1,8,5]=>[7,6,4,2,3,1,5]=>[[1,3,5],[2],[4],[6],[7]]=>[[1,2,4,6,7],[3],[5]]
[5,7,2,3,1,6,8,4]=>[5,7,2,3,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[7,5,4,2,6,8,1,3]=>[7,5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]
[1,7,5,3,4,6,8,2]=>[1,7,5,3,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]
[8,2,5,4,6,7,1,3]=>[2,5,4,6,7,1,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[5,2,6,3,1,8,7,4]=>[5,2,6,3,1,7,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[8,2,6,4,3,1,7,5]=>[2,6,4,3,1,7,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[8,2,7,4,1,3,5,6]=>[2,7,4,1,3,5,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[1,2,8,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>[[1,4],[2],[3],[5],[6],[7]]
[1,7,4,2,3,5,6,8]=>[1,7,4,2,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>[[1,4,7],[2],[3],[5],[6]]
[6,8,4,1,3,2,5,7]=>[6,4,1,3,2,5,7]=>[[1,2,5,7],[3],[4],[6]]=>[[1,3,4,6],[2],[5],[7]]
[1,8,7,4,3,2,5,6]=>[1,7,4,3,2,5,6]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[1,6,3,8,2,4,7,5]=>[1,6,3,2,4,7,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[5,3,8,1,2,7,4,6]=>[5,3,1,2,7,4,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[5,1,8,3,2,6,4,7]=>[5,1,3,2,6,4,7]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[5,7,3,1,2,6,4,8]=>[5,7,3,1,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[1,7,5,4,2,6,3,8]=>[1,7,5,4,2,6,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[1,5,8,2,4,6,3,7]=>[1,5,2,4,6,3,7]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[1,5,8,4,2,7,3,6]=>[1,5,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[1,4,6,2,8,3,7,5]=>[1,4,6,2,3,7,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[5,3,1,6,7,2,4,8]=>[5,3,1,6,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[5,3,6,1,2,8,4,7]=>[5,3,6,1,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[1,6,3,2,7,8,4,5]=>[1,6,3,2,7,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[1,7,4,5,3,8,6,2]=>[1,7,4,5,3,6,2]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[6,3,4,1,2,5,8,7]=>[6,3,4,1,2,5,7]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[6,3,1,4,2,7,5,8]=>[6,3,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[1,8,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>[[1,3],[2],[4],[5],[6],[7]]
[8,6,3,2,4,1,7,5]=>[6,3,2,4,1,7,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[8,5,3,2,6,7,1,4]=>[5,3,2,6,7,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[4,5,2,6,8,1,7,3]=>[4,5,2,6,1,7,3]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[4,2,5,6,7,8,1,3]=>[4,2,5,6,7,1,3]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[5,2,3,6,7,1,8,4]=>[5,2,3,6,7,1,4]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[6,2,3,4,1,7,8,5]=>[6,2,3,4,1,7,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[7,2,3,1,4,5,8,6]=>[7,2,3,1,4,5,6]=>[[1,3,4,5,6],[2],[7]]=>[[1,2,7],[3],[4],[5],[6]]
[8,6,1,4,3,2,5,7]=>[6,1,4,3,2,5,7]=>[[1,2,5,7],[3],[4],[6]]=>[[1,3,4,6],[2],[5],[7]]
[8,3,1,6,5,2,4,7]=>[3,1,6,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[3,7,5,1,8,2,4,6]=>[3,7,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[4,1,5,2,8,7,3,6]=>[4,1,5,2,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[8,1,2,4,6,5,3,7]=>[1,2,4,6,5,3,7]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[8,1,2,5,4,6,3,7]=>[1,2,5,4,6,3,7]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[8,2,6,5,1,3,4,7]=>[2,6,5,1,3,4,7]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[8,3,1,6,2,5,4,7]=>[3,1,6,2,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[8,1,2,6,4,5,3,7]=>[1,2,6,4,5,3,7]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[8,1,2,5,6,4,3,7]=>[1,2,5,6,4,3,7]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[8,1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[1,7,5,4,2,8,3,6]=>[1,7,5,4,2,3,6]=>[[1,2,3,6],[4],[5],[7]]=>[[1,4,5,7],[2],[3],[6]]
[5,1,4,8,2,7,3,6]=>[5,1,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[1,4,6,8,2,7,3,5]=>[1,4,6,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[1,4,7,6,2,8,3,5]=>[1,4,7,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[5,1,4,7,2,8,3,6]=>[5,1,4,7,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[1,7,4,5,2,8,3,6]=>[1,7,4,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[3,7,5,1,2,8,4,6]=>[3,7,5,1,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[5,7,2,8,1,3,4,6]=>[5,7,2,1,3,4,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[5,2,8,7,1,3,4,6]=>[5,2,7,1,3,4,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[4,1,5,8,2,7,3,6]=>[4,1,5,2,7,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[1,4,6,2,8,7,3,5]=>[1,4,6,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[1,4,2,8,6,7,3,5]=>[1,4,2,6,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[3,1,2,6,4,8,7,5]=>[3,1,2,6,4,7,5]=>[[1,2,4,5],[3,6,7]]=>[[1,3],[2,6],[4,7],[5]]
[2,1,7,6,3,4,8,5]=>[2,1,7,6,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[3,1,2,7,4,6,8,5]=>[3,1,2,7,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[1,4,7,2,6,8,3,5]=>[1,4,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[1,2,3,6,8,5,7,4]=>[1,2,3,6,5,7,4]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[5,1,4,2,7,8,3,6]=>[5,1,4,2,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[1,4,2,7,6,8,3,5]=>[1,4,2,7,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[1,4,2,6,8,7,3,5]=>[1,4,2,6,7,3,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[3,1,2,8,4,6,7,5]=>[3,1,2,4,6,7,5]=>[[1,2,4,5,7],[3,6]]=>[[1,3],[2,6],[4],[5],[7]]
[3,1,2,7,6,4,8,5]=>[3,1,2,7,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[5,3,7,1,8,2,4,6]=>[5,3,7,1,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[1,7,4,3,2,5,8,6]=>[1,7,4,3,2,5,6]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[4,8,7,2,1,3,5,6]=>[4,7,2,1,3,5,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[1,8,7,3,4,2,5,6]=>[1,7,3,4,2,5,6]=>[[1,2,4,5,6],[3],[7]]=>[[1,3,7],[2],[4],[5],[6]]
[3,1,7,8,2,6,4,5]=>[3,1,7,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[1,4,2,7,8,3,6,5]=>[1,4,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[5,2,8,1,3,4,7,6]=>[5,2,1,3,4,7,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[2,1,8,6,3,4,7,5]=>[2,1,6,3,4,7,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[1,4,2,6,8,3,7,5]=>[1,4,2,6,3,7,5]=>[[1,2,3,5],[4,6,7]]=>[[1,4],[2,6],[3,7],[5]]
[1,2,3,7,8,5,6,4]=>[1,2,3,7,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[1,2,3,7,5,8,6,4]=>[1,2,3,7,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[1,4,2,7,3,8,6,5]=>[1,4,2,7,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[3,1,7,2,8,6,4,5]=>[3,1,7,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[2,1,7,8,3,4,6,5]=>[2,1,7,3,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[1,2,3,8,7,5,6,4]=>[1,2,3,7,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9]]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]
[10,1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]
[10,1,2,3,4,5,9,6,7,8]=>[1,2,3,4,5,9,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]
[9,1,2,3,4,10,5,6,7,8]=>[9,1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]
[10,1,2,3,9,4,5,6,7,8]=>[1,2,3,9,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]
[10,1,2,9,3,4,5,6,7,8]=>[1,2,9,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]
[9,1,10,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]
[10,9,1,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]
[11,1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[[1,2,3,4,5,6,7,8,9,10]]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]
[10,1,2,3,4,5,6,7,8,11,9]=>[10,1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]
[8,1,2,3,4,5,6,9,10,7]=>[8,1,2,3,4,5,6,9,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]
[11,1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,10,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]
[7,1,2,3,4,5,10,9,6,8]=>[7,1,2,3,4,5,9,6,8]=>[[1,2,3,4,5,6,8],[7,9]]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]
[11,1,2,3,4,5,6,10,7,8,9]=>[1,2,3,4,5,6,10,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]
[10,1,2,3,4,5,11,6,7,8,9]=>[10,1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]
[5,1,2,3,9,10,4,6,7,8]=>[5,1,2,3,9,4,6,7,8]=>[[1,2,3,4,6,7,8],[5,9]]=>[[1,5],[2,9],[3],[4],[6],[7],[8]]
[11,1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,10,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]
[11,1,2,3,10,4,5,6,7,8,9]=>[1,2,3,10,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]
[3,1,10,9,2,4,5,6,7,8]=>[3,1,9,2,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3,9]]=>[[1,3],[2,9],[4],[5],[6],[7],[8]]
[10,1,2,11,3,4,5,6,7,8,9]=>[10,1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]
[2,9,10,1,3,4,5,6,7,8]=>[2,9,1,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2,9]]=>[[1,2],[3,9],[4],[5],[6],[7],[8]]
[11,1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]
[11,10,1,2,3,4,5,6,7,8,9]=>[10,1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]
[4,7,8,5,6,2,1,3]=>[4,7,5,6,2,1,3]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[5,7,8,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[6,7,8,4,2,5,1,3]=>[6,7,4,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[8,6,3,7,2,1,5,4]=>[6,3,7,2,1,5,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[7,6,3,8,2,1,5,4]=>[7,6,3,2,1,5,4]=>[[1,4],[2,5],[3],[6],[7]]=>[[1,2,3,6,7],[4,5]]
[6,7,8,3,2,1,5,4]=>[6,7,3,2,1,5,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[5,7,8,3,2,1,6,4]=>[5,7,3,2,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[2,7,8,4,3,5,6,1]=>[2,7,4,3,5,6,1]=>[[1,3,5,6],[2],[4],[7]]=>[[1,2,4,7],[3],[5],[6]]
[3,7,8,4,2,5,1,6]=>[3,7,4,2,5,1,6]=>[[1,4,5,6],[2],[3],[7]]=>[[1,2,3,7],[4],[5],[6]]
[4,7,8,3,2,1,5,6]=>[4,7,3,2,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[5,7,8,3,2,1,4,6]=>[5,7,3,2,1,4,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[7,6,3,8,2,1,4,5]=>[7,6,3,2,1,4,5]=>[[1,4,5],[2],[3],[6],[7]]=>[[1,2,3,6,7],[4],[5]]
[8,6,3,7,2,1,4,5]=>[6,3,7,2,1,4,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[5,6,3,8,2,1,4,7]=>[5,6,3,2,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[3,6,4,8,2,5,1,7]=>[3,6,4,2,5,1,7]=>[[1,4,5,7],[2],[3],[6]]=>[[1,2,3,6],[4],[5],[7]]
[2,6,4,8,3,5,7,1]=>[2,6,4,3,5,7,1]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[2,6,4,7,3,5,8,1]=>[2,6,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[3,6,4,7,2,5,1,8]=>[3,6,4,7,2,5,1]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[4,6,3,7,2,1,5,8]=>[4,6,3,7,2,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[5,6,3,7,2,1,4,8]=>[5,6,3,7,2,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[8,4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[6,4,3,2,1,7,5,8]=>[6,4,3,2,1,7,5]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[4,5,3,2,7,1,6,8]=>[4,5,3,2,7,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[3,5,4,2,8,6,1,7]=>[3,5,4,2,6,1,7]=>[[1,4,6,7],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7]]
[6,4,3,2,1,8,5,7]=>[6,4,3,2,1,5,7]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5],[7]]
[7,4,3,2,1,8,5,6]=>[7,4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[8,4,3,2,1,7,5,6]=>[4,3,2,1,7,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[8,4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[7,4,3,2,1,8,6,5]=>[7,4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4],[7]]=>[[1,2,3,4,7],[5,6]]
[6,4,3,2,1,8,7,5]=>[6,4,3,2,1,7,5]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[5,6,3,8,2,1,7,4]=>[5,6,3,2,1,7,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[7,5,3,2,8,1,6,4]=>[7,5,3,2,1,6,4]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[8,5,4,2,7,6,1,3]=>[5,4,2,7,6,1,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[7,5,4,2,8,6,1,3]=>[7,5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]
[6,5,4,2,8,7,1,3]=>[6,5,4,2,7,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>[[1,2,4,5,6],[3,7]]
[4,6,5,8,7,2,1,3]=>[4,6,5,7,2,1,3]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[2,6,5,7,8,3,4,1]=>[2,6,5,7,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[6,5,4,2,7,8,1,3]=>[6,5,4,2,7,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>[[1,2,4,5,6],[3,7]]
[8,5,4,2,6,7,1,3]=>[5,4,2,6,7,1,3]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[8,5,3,2,6,1,7,4]=>[5,3,2,6,1,7,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[7,5,3,2,6,1,8,4]=>[7,5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[5,6,3,7,2,1,8,4]=>[5,6,3,7,2,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[4,6,3,7,2,1,8,5]=>[4,6,3,7,2,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[3,6,4,7,2,8,1,5]=>[3,6,4,7,2,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[2,6,4,7,3,8,5,1]=>[2,6,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[3,5,4,2,7,8,1,6]=>[3,5,4,2,7,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[4,5,3,2,7,1,8,6]=>[4,5,3,2,7,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[7,4,3,2,1,6,8,5]=>[7,4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4],[7]]=>[[1,2,3,4,7],[5,6]]
[8,4,3,2,1,6,7,5]=>[4,3,2,1,6,7,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[8,4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[7,4,3,2,1,5,8,6]=>[7,4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[6,4,3,2,1,5,8,7]=>[6,4,3,2,1,5,7]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5],[7]]
[3,5,4,2,6,8,1,7]=>[3,5,4,2,6,1,7]=>[[1,4,6,7],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7]]
[5,6,3,4,1,2,8,7]=>[5,6,3,4,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[8,5,3,7,2,6,4,1]=>[5,3,7,2,6,4,1]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[8,5,7,4,2,6,3,1]=>[5,7,4,2,6,3,1]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[7,5,8,4,2,6,1,3]=>[7,5,4,2,6,1,3]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]
[2,1,7,8,5,6,3,4]=>[2,1,7,5,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[6,8,3,7,5,1,4,2]=>[6,3,7,5,1,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[5,7,3,8,1,6,2,4]=>[5,7,3,1,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[3,2,6,4,8,5,1,7]=>[3,2,6,4,5,1,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[3,2,5,8,4,6,1,7]=>[3,2,5,4,6,1,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,5,2,4,1,7,6,8]=>[3,5,2,4,1,7,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[4,2,1,5,7,3,6,8]=>[4,2,1,5,7,3,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[4,5,2,3,7,1,6,8]=>[4,5,2,3,7,1,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[4,2,5,3,8,1,6,7]=>[4,2,5,3,1,6,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[4,2,5,8,3,1,6,7]=>[4,2,5,3,1,6,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[3,1,5,4,2,8,6,7]=>[3,1,5,4,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[4,1,5,3,8,2,6,7]=>[4,1,5,3,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[4,1,5,8,3,2,6,7]=>[4,1,5,3,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[4,3,8,5,2,1,6,7]=>[4,3,5,2,1,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[4,7,3,5,2,1,6,8]=>[4,7,3,5,2,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,3,2,7,5,1,6,8]=>[4,3,2,7,5,1,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,3,6,2,5,1,7,8]=>[4,3,6,2,5,1,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,6,3,2,5,1,7,8]=>[4,6,3,2,5,1,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,6,7,1,3,2,5,8]=>[4,6,7,1,3,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[4,5,1,7,3,2,6,8]=>[4,5,1,7,3,2,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[4,5,1,3,7,2,6,8]=>[4,5,1,3,7,2,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[3,5,1,4,2,7,6,8]=>[3,5,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[2,5,1,4,3,7,8,6]=>[2,5,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[5,2,1,4,3,7,8,6]=>[5,2,1,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[5,3,1,4,2,7,6,8]=>[5,3,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[4,3,1,5,7,2,6,8]=>[4,3,1,5,7,2,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[4,3,1,7,5,2,6,8]=>[4,3,1,7,5,2,6]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[4,3,6,1,5,2,7,8]=>[4,3,6,1,5,2,7]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[4,6,3,1,5,2,7,8]=>[4,6,3,1,5,2,7]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[5,3,6,4,1,2,7,8]=>[5,3,6,4,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[4,3,6,1,7,2,5,8]=>[4,3,6,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[6,3,4,1,2,7,5,8]=>[6,3,4,1,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[6,2,4,1,3,7,8,5]=>[6,2,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[3,6,4,1,2,7,5,8]=>[3,6,4,1,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[4,6,3,1,7,2,5,8]=>[4,6,3,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[5,3,6,2,1,4,7,8]=>[5,3,6,2,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,6,2,7,1,3,4,8]=>[5,6,2,7,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[4,5,2,7,3,1,6,8]=>[4,5,2,7,3,1,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[4,6,7,2,3,1,5,8]=>[4,6,7,2,3,1,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[4,6,2,1,7,3,5,8]=>[4,6,2,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[3,2,6,1,4,7,5,8]=>[3,2,6,1,4,7,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,6,2,1,4,7,5,8]=>[3,6,2,1,4,7,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,6,7,2,4,5,1,8]=>[3,6,7,2,4,5,1]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,5,2,7,4,6,1,8]=>[3,5,2,7,4,6,1]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[3,7,2,4,8,5,1,6]=>[3,7,2,4,5,1,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[7,2,1,4,6,3,8,5]=>[7,2,1,4,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[7,3,1,4,6,8,2,5]=>[7,3,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[3,2,6,1,5,7,4,8]=>[3,2,6,1,5,7,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[3,6,2,1,5,7,4,8]=>[3,6,2,1,5,7,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[6,3,2,1,5,7,4,8]=>[6,3,2,1,5,7,4]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[6,4,2,1,5,3,7,8]=>[6,4,2,1,5,3,7]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[4,2,6,1,5,3,7,8]=>[4,2,6,1,5,3,7]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[4,2,1,7,5,3,6,8]=>[4,2,1,7,5,3,6]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[7,4,1,5,6,2,3,8]=>[7,4,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[7,3,1,5,2,6,4,8]=>[7,3,1,5,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[7,2,1,5,3,6,8,4]=>[7,2,1,5,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[6,2,5,1,3,7,8,4]=>[6,2,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[6,3,5,1,2,7,4,8]=>[6,3,5,1,2,7,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[6,4,5,1,7,2,3,8]=>[6,4,5,1,7,2,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[5,2,6,4,1,3,7,8]=>[5,2,6,4,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[4,6,5,1,7,2,3,8]=>[4,6,5,1,7,2,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[3,6,5,1,2,7,4,8]=>[3,6,5,1,2,7,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[6,5,2,1,4,7,8,3]=>[6,5,2,1,4,7,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[6,5,3,1,4,7,2,8]=>[6,5,3,1,4,7,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[2,4,1,5,8,3,7,6]=>[2,4,1,5,3,7,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[2,4,1,5,3,8,7,6]=>[2,4,1,5,3,7,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[3,4,5,1,2,8,7,6]=>[3,4,5,1,2,7,6]=>[[1,2,5,6],[3,4,7]]=>[[1,3],[2,4],[5,7],[6]]
[4,5,6,7,8,1,3,2]=>[4,5,6,7,1,3,2]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[8,2,5,3,7,1,6,4]=>[2,5,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[8,2,4,3,7,1,6,5]=>[2,4,3,7,1,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[5,8,2,4,3,7,1,6]=>[5,2,4,3,7,1,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[4,2,5,6,1,8,3,7]=>[4,2,5,6,1,3,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[4,2,5,6,1,7,3,8]=>[4,2,5,6,1,7,3]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[6,1,5,7,3,2,4,8]=>[6,1,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[6,1,5,8,3,2,4,7]=>[6,1,5,3,2,4,7]=>[[1,2,4,7],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7]]
[3,8,2,4,7,1,5,6]=>[3,2,4,7,1,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,6,8,2,4,7,1,5]=>[3,6,2,4,7,1,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[4,3,5,6,7,1,8,2]=>[4,3,5,6,7,1,2]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[3,7,1,5,6,8,2,4]=>[3,7,1,5,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[3,7,1,5,8,2,4,6]=>[3,7,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[8,3,2,4,6,1,5,7]=>[3,2,4,6,1,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[7,3,2,4,6,1,5,8]=>[7,3,2,4,6,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[3,2,5,1,7,4,6,8]=>[3,2,5,1,7,4,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[3,2,5,1,8,4,6,7]=>[3,2,5,1,4,6,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,2,5,1,7,8,4,6]=>[3,2,5,1,7,4,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[7,8,3,2,4,6,1,5]=>[7,3,2,4,6,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[6,1,5,7,8,3,2,4]=>[6,1,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[4,2,5,6,1,7,8,3]=>[4,2,5,6,1,7,3]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[5,7,6,1,8,3,4,2]=>[5,7,6,1,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[5,8,6,1,7,3,4,2]=>[5,6,1,7,3,4,2]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[6,1,5,8,7,3,2,4]=>[6,1,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[8,7,3,2,4,6,1,5]=>[7,3,2,4,6,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[3,2,5,1,8,7,4,6]=>[3,2,5,1,7,4,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[3,2,5,1,6,4,7,8]=>[3,2,5,1,6,4,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,2,4,1,8,7,5,6]=>[3,2,4,1,7,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,2,5,1,6,8,7,4]=>[3,2,5,1,6,7,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,8,6,5,1,7,4,2]=>[3,6,5,1,7,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[3,7,6,5,1,8,4,2]=>[3,7,6,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4]]
[6,5,1,7,8,4,2,3]=>[6,5,1,7,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[3,2,5,1,6,7,8,4]=>[3,2,5,1,6,7,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,2,4,1,8,5,6,7]=>[3,2,4,1,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]
[3,2,4,1,7,5,6,8]=>[3,2,4,1,7,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,2,4,1,6,8,5,7]=>[3,2,4,1,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[3,2,4,1,8,5,7,6]=>[3,2,4,1,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[8,3,2,4,7,6,1,5]=>[3,2,4,7,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,2,5,1,8,4,7,6]=>[3,2,5,1,4,7,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[3,2,5,1,6,7,4,8]=>[3,2,5,1,6,7,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[6,5,1,7,4,2,3,8]=>[6,5,1,7,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[6,5,1,8,4,2,3,7]=>[6,5,1,4,2,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[8,4,2,3,7,5,1,6]=>[4,2,3,7,5,1,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[4,2,6,1,8,3,7,5]=>[4,2,6,1,3,7,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[5,2,6,1,8,3,7,4]=>[5,2,6,1,3,7,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[8,4,6,1,7,3,5,2]=>[4,6,1,7,3,5,2]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[5,2,6,1,8,4,7,3]=>[5,2,6,1,4,7,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[7,4,2,3,8,5,1,6]=>[7,4,2,3,5,1,6]=>[[1,3,5,6],[2],[4],[7]]=>[[1,2,4,7],[3],[5],[6]]
[8,5,1,6,4,2,3,7]=>[5,1,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[7,5,1,6,4,2,3,8]=>[7,5,1,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[3,2,5,1,7,6,4,8]=>[3,2,5,1,7,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,2,5,1,8,6,4,7]=>[3,2,5,1,6,4,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[7,3,2,4,8,6,1,5]=>[7,3,2,4,6,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[8,6,1,5,7,3,2,4]=>[6,1,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[4,2,6,1,8,5,7,3]=>[4,2,6,1,5,7,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[8,5,6,1,7,3,4,2]=>[5,6,1,7,3,4,2]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[3,6,8,5,1,7,4,2]=>[3,6,5,1,7,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[8,5,1,6,7,4,2,3]=>[5,1,6,7,4,2,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[3,2,5,1,8,6,7,4]=>[3,2,5,1,6,7,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,2,4,1,8,6,5,7]=>[3,2,4,1,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[3,2,4,1,5,8,6,7]=>[3,2,4,1,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]
[3,2,5,1,7,8,6,4]=>[3,2,5,1,7,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[7,8,5,1,6,4,2,3]=>[7,5,1,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[3,8,5,1,7,6,4,2]=>[3,5,1,7,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[3,7,5,1,8,6,4,2]=>[3,7,5,1,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[8,7,5,1,6,4,2,3]=>[7,5,1,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[3,2,5,1,8,7,6,4]=>[3,2,5,1,7,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[6,5,7,3,1,8,4,2]=>[6,5,7,3,1,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[4,6,3,7,1,8,5,2]=>[4,6,3,7,1,5,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[4,6,3,7,5,1,8,2]=>[4,6,3,7,5,1,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[4,2,6,1,7,5,3,8]=>[4,2,6,1,7,5,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[2,5,7,4,1,6,3,8]=>[2,5,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[2,5,7,4,1,6,8,3]=>[2,5,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[5,4,7,3,6,1,8,2]=>[5,4,7,3,6,1,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[5,4,7,8,3,1,6,2]=>[5,4,7,3,1,6,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[4,3,7,5,1,8,6,2]=>[4,3,7,5,1,6,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[6,4,3,8,5,1,7,2]=>[6,4,3,5,1,7,2]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[5,8,4,3,6,1,7,2]=>[5,4,3,6,1,7,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,4,8,3,6,1,7,2]=>[5,4,3,6,1,7,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,4,3,6,7,1,8,2]=>[5,4,3,6,7,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[2,5,4,6,1,7,3,8]=>[2,5,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[3,2,5,8,1,6,7,4]=>[3,2,5,1,6,7,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[2,5,4,6,8,1,7,3]=>[2,5,4,6,1,7,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[5,2,8,4,1,6,7,3]=>[5,2,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[4,6,2,1,8,5,7,3]=>[4,6,2,1,5,7,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[2,4,1,7,5,8,6,3]=>[2,4,1,7,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[2,4,1,7,5,3,8,6]=>[2,4,1,7,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[2,6,4,1,8,5,3,7]=>[2,6,4,1,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[5,4,8,2,1,6,3,7]=>[5,4,2,1,6,3,7]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[2,5,8,4,1,6,3,7]=>[2,5,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[3,2,5,6,1,8,4,7]=>[3,2,5,6,1,4,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[4,8,3,2,6,1,5,7]=>[4,3,2,6,1,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[3,5,2,8,1,6,4,7]=>[3,5,2,1,6,4,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[3,2,1,6,8,5,4,7]=>[3,2,1,6,5,4,7]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[3,2,7,1,5,4,8,6]=>[3,2,7,1,5,4,6]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,2,7,1,5,8,6,4]=>[3,2,7,1,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,8,2,5,1,6,7,4]=>[3,2,5,1,6,7,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[4,8,3,2,6,7,1,5]=>[4,3,2,6,7,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,3,8,2,6,7,1,5]=>[4,3,2,6,7,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,3,2,6,7,8,1,5]=>[4,3,2,6,7,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,3,2,6,7,1,5,8]=>[4,3,2,6,7,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,3,7,2,6,8,1,5]=>[4,3,7,2,6,1,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[4,3,7,8,2,6,1,5]=>[4,3,7,2,6,1,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[2,5,7,4,8,1,6,3]=>[2,5,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[3,2,5,7,8,1,6,4]=>[3,2,5,7,1,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,2,5,7,1,6,8,4]=>[3,2,5,7,1,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,2,5,7,1,6,4,8]=>[3,2,5,7,1,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[6,3,2,7,1,5,4,8]=>[6,3,2,7,1,5,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[6,3,2,7,1,5,8,4]=>[6,3,2,7,1,5,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[6,3,2,7,8,1,5,4]=>[6,3,2,7,1,5,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[4,2,6,1,7,8,5,3]=>[4,2,6,1,7,5,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[6,5,2,1,7,8,4,3]=>[6,5,2,1,7,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[2,1,7,5,3,8,6,4]=>[2,1,7,5,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[6,2,1,8,5,3,7,4]=>[6,2,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[6,3,2,7,1,4,8,5]=>[6,3,2,7,1,4,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[6,3,2,1,4,7,8,5]=>[6,3,2,1,4,7,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[6,3,2,1,4,7,5,8]=>[6,3,2,1,4,7,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[3,5,2,1,7,4,6,8]=>[3,5,2,1,7,4,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[3,5,2,1,7,8,4,6]=>[3,5,2,1,7,4,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[5,8,4,2,1,7,3,6]=>[5,4,2,1,7,3,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[4,6,2,1,8,3,7,5]=>[4,6,2,1,3,7,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[2,4,1,7,3,8,6,5]=>[2,4,1,7,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[3,2,7,1,4,8,6,5]=>[3,2,7,1,4,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,5,8,2,1,7,4,6]=>[3,5,2,1,7,4,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[4,8,3,7,2,1,5,6]=>[4,3,7,2,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,3,7,2,8,1,5,6]=>[4,3,7,2,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,3,7,2,1,5,6,8]=>[4,3,7,2,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,8,3,2,7,1,5,6]=>[4,3,2,7,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[3,5,2,8,1,7,4,6]=>[3,5,2,1,7,4,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[6,3,2,8,1,4,7,5]=>[6,3,2,1,4,7,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[3,2,1,4,7,5,8,6]=>[3,2,1,4,7,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[5,3,2,1,8,4,6,7]=>[5,3,2,1,4,6,7]=>[[1,4,6,7],[2],[3],[5]]=>[[1,2,3,5],[4],[6],[7]]
[4,8,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[4,3,8,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[[1,3,4,5,6,7,8],[2]]
[8,7,6,4,5,3,2,1,9]=>[8,7,6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[[1,2,3,4,6,7,8],[5]]
[1,9,8,7,5,6,4,3,2]=>[1,8,7,5,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>[[1,3,4,5,7,8],[2],[6]]
[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,3,4,5,6,7,8,9],[2]]
[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[[1,2,3,4,5,6,7,8,9,10]]
[8,7,5,4,6,3,2,1,9]=>[8,7,5,4,6,3,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>[[1,2,3,4,5,7,8],[6]]
[8,7,4,6,5,3,2,1,9]=>[8,7,4,6,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>[[1,2,3,4,6,7,8],[5]]
[1,11,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>[[1,3,4,5,6,7,8,9,10],[2]]
[6,2,3,1,5,4,8,7]=>[6,2,3,1,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[8,4,5,2,3,1,7,6]=>[4,5,2,3,1,7,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[8,6,7,2,5,3,4,1]=>[6,7,2,5,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[8,2,5,3,4,1,7,6]=>[2,5,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[6,2,5,3,4,1,8,7]=>[6,2,5,3,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]
[6,1,5,2,4,3,8,7]=>[6,1,5,2,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[6,4,5,1,3,2,8,7]=>[6,4,5,1,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[6,1,5,3,4,2,8,7]=>[6,1,5,3,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7]]
[6,3,5,1,4,2,8,7]=>[6,3,5,1,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[8,3,5,2,4,1,7,6]=>[3,5,2,4,1,7,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[8,3,7,5,6,2,4,1]=>[3,7,5,6,2,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[8,3,7,2,4,1,6,5]=>[3,7,2,4,1,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[8,3,5,1,4,2,7,6]=>[3,5,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[8,1,5,3,4,2,7,6]=>[1,5,3,4,2,7,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[8,4,5,1,3,2,7,6]=>[4,5,1,3,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[2,1,8,4,5,3,7,6]=>[2,1,4,5,3,7,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[8,6,7,4,5,1,3,2]=>[6,7,4,5,1,3,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[8,6,7,1,5,3,4,2]=>[6,7,1,5,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[8,6,7,3,5,1,4,2]=>[6,7,3,5,1,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[8,3,7,5,6,1,4,2]=>[3,7,5,6,1,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[8,5,7,3,6,1,4,2]=>[5,7,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]
[8,3,7,4,6,2,5,1]=>[3,7,4,6,2,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[8,3,7,4,6,1,5,2]=>[3,7,4,6,1,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[8,3,7,1,6,4,5,2]=>[3,7,1,6,4,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[8,1,7,3,6,4,5,2]=>[1,7,3,6,4,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[8,1,7,5,6,3,4,2]=>[1,7,5,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[8,4,7,5,6,1,3,2]=>[4,7,5,6,1,3,2]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[2,1,8,4,7,5,6,3]=>[2,1,4,7,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[8,1,7,3,4,2,6,5]=>[1,7,3,4,2,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[8,1,7,3,6,2,5,4]=>[1,7,3,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[8,3,7,1,6,2,5,4]=>[3,7,1,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[8,3,7,2,6,4,5,1]=>[3,7,2,6,4,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[8,2,7,3,6,4,5,1]=>[2,7,3,6,4,5,1]=>[[1,3,4,5],[2],[6],[7]]=>[[1,2,6,7],[3],[4],[5]]
[8,2,7,3,6,1,5,4]=>[2,7,3,6,1,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[8,2,7,1,6,3,5,4]=>[2,7,1,6,3,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[8,1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[8,1,3,2,7,4,6,5]=>[1,3,2,7,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[2,1,8,3,7,4,6,5]=>[2,1,3,7,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[8,1,5,2,4,3,7,6]=>[1,5,2,4,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[8,2,7,1,4,3,6,5]=>[2,7,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[8,2,7,3,4,1,6,5]=>[2,7,3,4,1,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[8,2,7,5,6,3,4,1]=>[2,7,5,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[8,4,7,5,6,2,3,1]=>[4,7,5,6,2,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[8,4,7,2,3,1,6,5]=>[4,7,2,3,1,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[8,2,3,1,7,4,6,5]=>[2,3,1,7,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[8,2,3,1,5,4,7,6]=>[2,3,1,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[4,2,3,1,8,5,7,6]=>[4,2,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[4,1,3,2,8,6,7,5]=>[4,1,3,2,6,7,5]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[8,6,7,2,3,1,5,4]=>[6,7,2,3,1,5,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[8,2,3,1,7,5,6,4]=>[2,3,1,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[8,5,7,2,6,3,4,1]=>[5,7,2,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[8,5,7,2,6,1,4,3]=>[5,7,2,6,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[8,2,7,5,6,1,4,3]=>[2,7,5,6,1,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[8,6,7,2,5,1,4,3]=>[6,7,2,5,1,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[8,6,7,1,5,2,4,3]=>[6,7,1,5,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[8,6,7,1,3,2,5,4]=>[6,7,1,3,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[2,1,8,6,7,3,5,4]=>[2,1,6,7,3,5,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[2,1,8,3,7,5,6,4]=>[2,1,3,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[8,1,3,2,7,5,6,4]=>[1,3,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[8,1,7,5,6,2,4,3]=>[1,7,5,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[8,1,7,2,6,4,5,3]=>[1,7,2,6,4,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[8,2,7,1,6,4,5,3]=>[2,7,1,6,4,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[8,2,7,4,6,1,5,3]=>[2,7,4,6,1,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[8,2,7,4,6,3,5,1]=>[2,7,4,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[8,4,7,2,6,3,5,1]=>[4,7,2,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[8,4,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6]]
[8,4,7,1,6,2,5,3]=>[4,7,1,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[8,1,7,4,6,2,5,3]=>[1,7,4,6,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[8,5,7,1,6,2,4,3]=>[5,7,1,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[2,1,8,5,7,3,6,4]=>[2,1,5,7,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[8,5,7,4,6,1,3,2]=>[5,7,4,6,1,3,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[8,5,7,1,6,3,4,2]=>[5,7,1,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[8,1,7,4,6,3,5,2]=>[1,7,4,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[8,4,7,1,6,3,5,2]=>[4,7,1,6,3,5,2]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[8,4,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[2,4,8,3,6,1,7,5]=>[2,4,3,6,1,7,5]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[6,5,8,1,3,2,7,4]=>[6,5,1,3,2,7,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[4,5,8,6,3,2,7,1]=>[4,5,6,3,2,7,1]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[6,5,8,7,3,1,2,4]=>[6,5,7,3,1,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[1,5,8,7,3,6,2,4]=>[1,5,7,3,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[1,7,2,8,4,6,5,3]=>[1,7,2,4,6,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[6,7,2,8,4,1,5,3]=>[6,7,2,4,1,5,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[3,6,2,8,4,5,7,1]=>[3,6,2,4,5,7,1]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[2,6,1,8,4,5,7,3]=>[2,6,1,4,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,8,4,6,1,5,7,3]=>[2,4,6,1,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[6,3,1,8,4,5,7,2]=>[6,3,1,4,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[3,1,6,8,4,5,7,2]=>[3,1,6,4,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[2,3,6,8,4,5,7,1]=>[2,3,6,4,5,7,1]=>[[1,3,4,5,7],[2],[6]]=>[[1,2,6],[3],[4],[5],[7]]
[6,3,7,8,4,1,5,2]=>[6,3,7,4,1,5,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[1,3,7,8,4,6,5,2]=>[1,3,7,4,6,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[1,5,7,8,2,4,6,3]=>[1,5,7,2,4,6,3]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[5,1,7,8,2,4,6,3]=>[5,1,7,2,4,6,3]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[3,6,7,8,4,2,5,1]=>[3,6,7,4,2,5,1]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[7,6,1,8,4,2,5,3]=>[7,6,1,4,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[5,6,8,7,3,2,1,4]=>[5,6,7,3,2,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[2,8,3,7,1,6,5,4]=>[2,3,7,1,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[5,2,8,7,3,6,1,4]=>[5,2,7,3,6,1,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[7,2,1,8,4,6,5,3]=>[7,2,1,4,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[3,2,7,8,4,6,5,1]=>[3,2,7,4,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[5,2,7,8,1,4,6,3]=>[5,2,7,1,4,6,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[1,2,7,8,5,4,6,3]=>[1,2,7,5,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>[[1,4,5,7],[2],[3],[6]]
[4,2,1,3,8,5,6,7]=>[4,2,1,3,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,4],[3],[5],[6],[7]]
[7,2,5,8,3,4,6,1]=>[7,2,5,3,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>[[1,2,5,7],[3],[4],[6]]
[6,2,8,5,4,3,1,7]=>[6,2,5,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3],[7]]
[2,8,3,5,4,1,6,7]=>[2,3,5,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>[[1,2,5],[3],[4],[6],[7]]
[2,8,4,5,3,1,6,7]=>[2,4,5,3,1,6,7]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,4],[3],[5],[6],[7]]
[6,4,8,5,2,3,1,7]=>[6,4,5,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[7,3,5,8,2,4,6,1]=>[7,3,5,2,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[4,3,1,2,8,5,6,7]=>[4,3,1,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>[[1,3,4],[2],[5],[6],[7]]
[3,4,2,1,8,5,6,7]=>[3,4,2,1,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]
[2,7,6,8,4,3,5,1]=>[2,7,6,4,3,5,1]=>[[1,3,5],[2],[4],[6],[7]]=>[[1,2,4,6,7],[3],[5]]
[5,7,1,8,3,4,6,2]=>[5,7,1,3,4,6,2]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[3,7,5,8,1,4,6,2]=>[3,7,5,1,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[1,7,5,8,3,4,6,2]=>[1,7,5,3,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]
[1,6,8,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[4,6,8,5,1,3,2,7]=>[4,6,5,1,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[5,6,8,1,4,3,2,7]=>[5,6,1,4,3,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[7,5,8,6,3,4,2,1]=>[7,5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[2,4,8,3,6,5,1,7]=>[2,4,3,6,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,8,4,1,5,6,3,7]=>[2,4,1,5,6,3,7]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[4,1,8,3,5,6,2,7]=>[4,1,3,5,6,2,7]=>[[1,2,5,6,7],[3],[4]]=>[[1,3,4],[2],[5],[6],[7]]
[5,6,8,4,1,3,2,7]=>[5,6,4,1,3,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[4,6,8,1,5,3,2,7]=>[4,6,1,5,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[1,6,8,4,5,3,2,7]=>[1,6,4,5,3,2,7]=>[[1,2,5,7],[3],[4],[6]]=>[[1,3,4,6],[2],[5],[7]]
[1,7,3,8,5,4,6,2]=>[1,7,3,5,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>[[1,3,5,7],[2],[4],[6]]
[3,7,1,8,5,4,6,2]=>[3,7,1,5,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[2,7,3,8,4,6,5,1]=>[2,7,3,4,6,5,1]=>[[1,3,4,5],[2],[6],[7]]=>[[1,2,6,7],[3],[4],[5]]
[7,1,3,8,4,6,5,2]=>[7,1,3,4,6,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[5,7,8,4,3,6,1,2]=>[5,7,4,3,6,1,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[2,8,7,4,1,6,5,3]=>[2,7,4,1,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[2,8,5,4,3,1,6,7]=>[2,5,4,3,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>[[1,2,4,5],[3],[6],[7]]
[6,5,8,4,2,3,1,7]=>[6,5,4,2,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>[[1,2,4,5,6],[3],[7]]
[4,1,3,2,8,5,6,7]=>[4,1,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>[[1,3,4],[2],[5],[6],[7]]
[1,4,3,2,8,5,6,7]=>[1,4,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>[[1,3,4],[2],[5],[6],[7]]
[7,3,2,8,5,4,6,1]=>[7,3,2,5,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[6,4,8,2,5,3,1,7]=>[6,4,2,5,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[2,8,4,3,5,1,6,7]=>[2,4,3,5,1,6,7]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,4],[3],[5],[6],[7]]
[2,8,3,4,5,1,6,7]=>[2,3,4,5,1,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[6,2,8,4,5,3,1,7]=>[6,2,4,5,3,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[7,2,3,8,5,4,6,1]=>[7,2,3,5,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>[[1,2,5,7],[3],[4],[6]]
[4,2,3,1,8,5,6,7]=>[4,2,3,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>[[1,2,4],[3],[5],[6],[7]]
[3,2,1,4,8,5,6,7]=>[3,2,1,4,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]
[5,1,3,2,4,8,6,7]=>[5,1,3,2,4,6,7]=>[[1,2,4,6,7],[3],[5]]=>[[1,3,5],[2],[4],[6],[7]]
[2,8,1,5,3,4,7,6]=>[2,1,5,3,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[1,2,8,4,5,3,7,6]=>[1,2,4,5,3,7,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[1,4,2,8,5,3,6,7]=>[1,4,2,5,3,6,7]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[1,8,4,2,5,3,6,7]=>[1,4,2,5,3,6,7]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[8,1,5,3,2,4,6,7]=>[1,5,3,2,4,6,7]=>[[1,2,4,6,7],[3],[5]]=>[[1,3,5],[2],[4],[6],[7]]
[3,8,1,5,2,4,6,7]=>[3,1,5,2,4,6,7]=>[[1,2,4,6,7],[3,5]]=>[[1,3],[2,5],[4],[6],[7]]
[3,5,1,4,8,2,6,7]=>[3,5,1,4,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[1,5,2,8,4,3,6,7]=>[1,5,2,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[1,2,8,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[1,2,5,4,3,8,6,7]=>[1,2,5,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[1,2,4,8,5,3,7,6]=>[1,2,4,5,3,7,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[1,2,7,4,8,5,3,6]=>[1,2,7,4,5,3,6]=>[[1,2,3,5,6],[4],[7]]=>[[1,4,7],[2],[3],[5],[6]]
[1,5,2,7,8,4,3,6]=>[1,5,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[5,1,2,7,4,8,3,6]=>[5,1,2,7,4,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[8,3,5,1,4,7,2,6]=>[3,5,1,4,7,2,6]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[2,8,1,5,4,7,3,6]=>[2,1,5,4,7,3,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[1,2,8,5,7,4,3,6]=>[1,2,5,7,4,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[1,2,4,8,7,5,3,6]=>[1,2,4,7,5,3,6]=>[[1,2,3,5,6],[4],[7]]=>[[1,4,7],[2],[3],[5],[6]]
[2,8,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[6,1,2,8,7,4,3,5]=>[6,1,2,7,4,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[6,4,1,2,8,7,3,5]=>[6,4,1,2,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[3,6,4,8,1,7,2,5]=>[3,6,4,1,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[7,6,1,4,2,8,3,5]=>[7,6,1,4,2,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[7,1,6,2,8,4,3,5]=>[7,1,6,2,4,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[1,6,7,2,8,4,3,5]=>[1,6,7,2,4,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[6,7,1,4,2,8,3,5]=>[6,7,1,4,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[6,3,7,1,4,8,2,5]=>[6,3,7,1,4,2,5]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[3,7,8,1,5,2,4,6]=>[3,7,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[7,1,2,8,5,3,4,6]=>[7,1,2,5,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[1,7,2,8,4,5,3,6]=>[1,7,2,4,5,3,6]=>[[1,2,3,5,6],[4],[7]]=>[[1,4,7],[2],[3],[5],[6]]
[1,4,2,7,8,5,3,6]=>[1,4,2,7,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[6,1,2,8,4,3,7,5]=>[6,1,2,4,3,7,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[6,4,1,2,8,3,7,5]=>[6,4,1,2,3,7,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[7,6,1,3,2,4,8,5]=>[7,6,1,3,2,4,5]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[6,7,1,3,2,4,8,5]=>[6,7,1,3,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[1,2,7,3,5,8,4,6]=>[1,2,7,3,5,4,6]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[1,2,7,5,8,3,4,6]=>[1,2,7,5,3,4,6]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[5,8,1,3,7,2,4,6]=>[5,1,3,7,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[1,2,5,8,7,3,4,6]=>[1,2,5,7,3,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[1,2,5,8,3,7,4,6]=>[1,2,5,3,7,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[2,8,1,7,3,5,4,6]=>[2,1,7,3,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[8,6,1,3,2,4,7,5]=>[6,1,3,2,4,7,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[4,2,8,1,7,3,6,5]=>[4,2,1,7,3,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[2,8,1,7,4,3,6,5]=>[2,1,7,4,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[7,1,2,8,4,3,6,5]=>[7,1,2,4,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[1,2,8,4,7,5,3,6]=>[1,2,4,7,5,3,6]=>[[1,2,3,5,6],[4],[7]]=>[[1,4,7],[2],[3],[5],[6]]
[1,2,8,7,4,5,3,6]=>[1,2,7,4,5,3,6]=>[[1,2,3,5,6],[4],[7]]=>[[1,4,7],[2],[3],[5],[6]]
[2,8,1,7,5,3,4,6]=>[2,1,7,5,3,4,6]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[8,3,7,1,5,2,4,6]=>[3,7,1,5,2,4,6]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[3,8,6,1,4,7,2,5]=>[3,6,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[8,6,1,4,2,7,3,5]=>[6,1,4,2,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[8,1,6,2,7,4,3,5]=>[1,6,2,7,4,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[7,1,2,8,6,4,3,5]=>[7,1,2,6,4,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[7,4,1,2,8,6,3,5]=>[7,4,1,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[3,7,4,8,1,6,2,5]=>[3,7,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[3,4,8,7,1,6,2,5]=>[3,4,7,1,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[4,2,8,1,7,6,3,5]=>[4,2,1,7,6,3,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[2,8,1,7,6,4,3,5]=>[2,1,7,6,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[7,8,3,4,1,5,2,6]=>[7,3,4,1,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[7,8,3,4,1,6,2,5]=>[7,3,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[6,8,3,4,1,7,2,5]=>[6,3,4,1,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[6,7,3,4,1,8,2,5]=>[6,7,3,4,1,2,5]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[5,7,3,4,1,8,2,6]=>[5,7,3,4,1,2,6]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[5,8,3,4,1,7,2,6]=>[5,3,4,1,7,2,6]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[5,8,3,4,1,6,2,7]=>[5,3,4,1,6,2,7]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[6,8,3,4,1,5,2,7]=>[6,3,4,1,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[6,7,3,4,1,5,2,8]=>[6,7,3,4,1,5,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[5,7,3,4,1,6,2,8]=>[5,7,3,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[5,6,2,8,3,4,1,7]=>[5,6,2,3,4,1,7]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[5,6,2,7,3,4,1,8]=>[5,6,2,7,3,4,1]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[4,6,2,8,3,5,1,7]=>[4,6,2,3,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[4,7,3,5,1,6,2,8]=>[4,7,3,5,1,6,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[4,8,3,5,1,6,2,7]=>[4,3,5,1,6,2,7]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[4,8,3,5,1,7,2,6]=>[4,3,5,1,7,2,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[4,7,3,5,1,8,2,6]=>[4,7,3,5,1,2,6]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[5,6,2,3,1,7,4,8]=>[5,6,2,3,1,7,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[5,6,2,4,1,8,3,7]=>[5,6,2,4,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[5,6,2,4,1,7,3,8]=>[5,6,2,4,1,7,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[4,6,2,5,1,7,3,8]=>[4,6,2,5,1,7,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[4,6,2,5,1,8,3,7]=>[4,6,2,5,1,3,7]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[4,5,1,8,3,7,2,6]=>[4,5,1,3,7,2,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[4,5,1,7,3,8,2,6]=>[4,5,1,7,3,2,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[4,6,2,7,3,8,1,5]=>[4,6,2,7,3,1,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[5,6,2,7,3,8,1,4]=>[5,6,2,7,3,1,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[5,6,2,7,4,8,1,3]=>[5,6,2,7,4,1,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[5,6,3,8,4,7,1,2]=>[5,6,3,4,7,1,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[5,6,2,8,4,7,1,3]=>[5,6,2,4,7,1,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[5,6,2,8,3,7,1,4]=>[5,6,2,3,7,1,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[4,6,2,8,3,7,1,5]=>[4,6,2,3,7,1,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[4,5,1,7,3,6,2,8]=>[4,5,1,7,3,6,2]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[4,5,1,8,3,6,2,7]=>[4,5,1,3,6,2,7]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[9,2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8]]
[10,2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]
[9,2,3,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8]]
[4,2,3,5,6,7,8,9,1]=>[4,2,3,5,6,7,8,1]=>[[1,3,5,6,7,8],[2],[4]]=>[[1,2,4],[3],[5],[6],[7],[8]]
[3,4,2,5,6,7,8,9,1]=>[3,4,2,5,6,7,8,1]=>[[1,4,5,6,7,8],[2],[3]]=>[[1,2,3],[4],[5],[6],[7],[8]]
[3,2,4,5,6,7,8,9,10,1]=>[3,2,4,5,6,7,8,9,1]=>[[1,4,5,6,7,8,9],[2],[3]]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]
[2,3,4,5,6,7,8,9,10,11,1]=>[2,3,4,5,6,7,8,9,10,1]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]
[6,5,3,2,1,4,8,7]=>[6,5,3,2,1,4,7]=>[[1,4,7],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4],[7]]
[4,6,3,5,2,1,8,7]=>[4,6,3,5,2,1,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[8,7,3,5,2,4,1,6]=>[7,3,5,2,4,1,6]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[6,8,2,4,5,7,3,1]=>[6,2,4,5,7,3,1]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[8,7,2,4,5,3,1,6]=>[7,2,4,5,3,1,6]=>[[1,3,5,6],[2],[4],[7]]=>[[1,2,4,7],[3],[5],[6]]
[3,6,1,4,5,2,8,7]=>[3,6,1,4,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[8,3,7,4,5,2,1,6]=>[3,7,4,5,2,1,6]=>[[1,4,5,6],[2],[3],[7]]=>[[1,2,3,7],[4],[5],[6]]
[6,3,8,4,5,7,2,1]=>[6,3,4,5,7,2,1]=>[[1,4,5,7],[2],[3],[6]]=>[[1,2,3,6],[4],[5],[7]]
[5,8,7,4,3,6,2,1]=>[5,7,4,3,6,2,1]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[2,8,7,4,3,6,1,5]=>[2,7,4,3,6,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[8,1,7,4,3,6,2,5]=>[1,7,4,3,6,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[8,7,3,5,1,4,2,6]=>[7,3,5,1,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[2,1,6,8,5,7,4,3]=>[2,1,6,5,7,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[6,8,3,5,1,7,4,2]=>[6,3,5,1,7,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[5,1,8,4,7,6,3,2]=>[5,1,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[2,5,8,4,7,6,3,1]=>[2,5,4,7,6,3,1]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[4,3,8,1,5,6,7,2]=>[4,3,1,5,6,7,2]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[4,8,1,3,5,6,7,2]=>[4,1,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4]]=>[[1,3,4],[2],[5],[6],[7]]
[5,8,7,4,1,6,3,2]=>[5,7,4,1,6,3,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[5,8,3,6,1,4,7,2]=>[5,3,6,1,4,7,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[4,8,3,6,1,2,7,5]=>[4,3,6,1,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[3,8,7,4,1,6,2,5]=>[3,7,4,1,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[3,8,1,2,5,6,7,4]=>[3,1,2,5,6,7,4]=>[[1,2,4,6,7],[3,5]]=>[[1,3],[2,5],[4],[6],[7]]
[8,7,1,4,2,6,3,5]=>[7,1,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[8,6,3,1,2,4,7,5]=>[6,3,1,2,4,7,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[8,1,7,4,5,2,3,6]=>[1,7,4,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[2,8,7,4,5,1,3,6]=>[2,7,4,5,1,3,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[8,7,2,4,1,6,3,5]=>[7,2,4,1,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[5,8,3,6,2,4,7,1]=>[5,3,6,2,4,7,1]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[8,6,3,2,1,4,7,5]=>[6,3,2,1,4,7,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[8,7,3,5,2,1,4,6]=>[7,3,5,2,1,4,6]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[5,8,3,6,2,1,7,4]=>[5,3,6,2,1,7,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,8,7,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[2,6,8,4,5,7,1,3]=>[2,6,4,5,7,1,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[6,1,8,4,5,7,2,3]=>[6,1,4,5,7,2,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[6,8,3,5,1,7,2,4]=>[6,3,5,1,7,2,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[2,1,5,8,3,6,7,4]=>[2,1,5,3,6,7,4]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[5,8,3,6,1,2,7,4]=>[5,3,6,1,2,7,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[4,1,8,2,5,6,7,3]=>[4,1,2,5,6,7,3]=>[[1,2,3,6,7],[4,5]]=>[[1,4],[2,5],[3],[6],[7]]
[2,4,8,1,5,6,7,3]=>[2,4,1,5,6,7,3]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[4,8,2,1,5,6,7,3]=>[4,2,1,5,6,7,3]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[3,4,8,2,5,6,7,1]=>[3,4,2,5,6,7,1]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]
[5,8,1,4,7,6,2,3]=>[5,1,4,7,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[5,8,3,1,6,2,7,4]=>[5,3,1,6,2,7,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[4,5,3,8,6,1,7,2]=>[4,5,3,6,1,7,2]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[3,4,1,8,5,6,7,2]=>[3,4,1,5,6,7,2]=>[[1,2,5,6,7],[3,4]]=>[[1,3],[2,4],[5],[6],[7]]
[2,4,6,8,10,1,3,5,7,9]=>[2,4,6,8,1,3,5,7,9]=>[[1,3,5,7,9],[2,4,6,8]]=>[[1,2],[3,4],[5,6],[7,8],[9]]
[3,5,7,9,10,1,2,4,6,8]=>[3,5,7,9,1,2,4,6,8]=>[[1,2,4,6,8],[3,5,7,9]]=>[[1,3],[2,5],[4,7],[6,9],[8]]
[5,6,7,8,10,1,2,3,4,9]=>[5,6,7,8,1,2,3,4,9]=>[[1,2,3,4,9],[5,6,7,8]]=>[[1,5],[2,6],[3,7],[4,8],[9]]
[5,7,8,9,10,1,2,3,4,6]=>[5,7,8,9,1,2,3,4,6]=>[[1,2,3,4,6],[5,7,8,9]]=>[[1,5],[2,7],[3,8],[4,9],[6]]
[6,7,8,9,10,12,1,2,3,4,5,11]=>[6,7,8,9,10,1,2,3,4,5,11]=>[[1,2,3,4,5,11],[6,7,8,9,10]]=>[[1,6],[2,7],[3,8],[4,9],[5,10],[11]]
[4,5,7,6,2,3,8,1]=>[4,5,7,6,2,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[1,5,7,3,6,8,4,2]=>[1,5,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[3,8,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[5,4,7,6,8,1,3,2]=>[5,4,7,6,1,3,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[8,1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[3,1,4,5,6,7,8,9,10,2]=>[3,1,4,5,6,7,8,9,2]=>[[1,2,5,6,7,8,9],[3,4]]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]
[2,3,4,5,6,7,8,9,11,1,10]=>[2,3,4,5,6,7,8,9,1,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]
[10,3,4,5,6,7,8,1,2,9]=>[3,4,5,6,7,8,1,2,9]=>[[1,2,5,6,7,8,9],[3,4]]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]
[10,1,4,5,6,7,8,9,2,3]=>[1,4,5,6,7,8,9,2,3]=>[[1,2,3,6,7,8,9],[4,5]]=>[[1,4],[2,5],[3],[6],[7],[8],[9]]
[3,1,4,5,6,7,8,9,10,11,2]=>[3,1,4,5,6,7,8,9,10,2]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]
[2,3,4,5,6,7,8,9,10,12,1,11]=>[2,3,4,5,6,7,8,9,10,1,11]=>[[1,3,4,5,6,7,8,9,10,11],[2]]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10],[11]]
[11,3,4,5,6,7,8,9,1,2,10]=>[3,4,5,6,7,8,9,1,2,10]=>[[1,2,5,6,7,8,9,10],[3,4]]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]
[2,10,4,5,6,7,8,1,3,9]=>[2,4,5,6,7,8,1,3,9]=>[[1,3,5,6,7,8,9],[2,4]]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]
[9,1,4,5,6,7,8,2,10,3]=>[9,1,4,5,6,7,8,2,3]=>[[1,2,3,6,7,8],[4,5],[9]]=>[[1,4,9],[2,5],[3],[6],[7],[8]]
[11,1,4,5,6,7,8,9,10,2,3]=>[1,4,5,6,7,8,9,10,2,3]=>[[1,2,3,6,7,8,9,10],[4,5]]=>[[1,4],[2,5],[3],[6],[7],[8],[9],[10]]
[3,1,4,5,6,7,8,9,10,11,12,2]=>[3,1,4,5,6,7,8,9,10,11,2]=>[[1,2,5,6,7,8,9,10,11],[3,4]]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10],[11]]
[6,7,1,8,4,5,2,3]=>[6,7,1,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[3,7,1,5,8,2,6,4]=>[3,7,1,5,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[2,7,1,5,8,3,6,4]=>[2,7,1,5,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[2,6,5,1,8,3,7,4]=>[2,6,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[3,6,5,1,8,2,7,4]=>[3,6,5,1,2,7,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[4,6,5,1,8,7,2,3]=>[4,6,5,1,7,2,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[5,6,4,1,8,7,2,3]=>[5,6,4,1,7,2,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[8,1,4,5,7,6,2,3]=>[1,4,5,7,6,2,3]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[6,4,5,1,8,7,2,3]=>[6,4,5,1,7,2,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[5,4,6,1,8,7,2,3]=>[5,4,6,1,7,2,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[4,5,6,1,8,7,2,3]=>[4,5,6,1,7,2,3]=>[[1,2,3,7],[4,5,6]]=>[[1,4],[2,5],[3,6],[7]]
[3,5,6,1,8,2,7,4]=>[3,5,6,1,2,7,4]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[2,5,6,1,8,3,7,4]=>[2,5,6,1,3,7,4]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[2,4,6,1,3,8,7,5]=>[2,4,6,1,3,7,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[3,4,6,1,2,8,7,5]=>[3,4,6,1,2,7,5]=>[[1,2,5,7],[3,4,6]]=>[[1,3],[2,4],[5,6],[7]]
[4,3,6,1,2,8,7,5]=>[4,3,6,1,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[5,3,6,1,8,2,7,4]=>[5,3,6,1,2,7,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[7,3,1,5,8,2,6,4]=>[7,3,1,5,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[8,1,3,5,7,2,6,4]=>[1,3,5,7,2,6,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[8,1,2,5,7,3,6,4]=>[1,2,5,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[7,2,1,5,8,3,6,4]=>[7,2,1,5,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[6,2,5,1,8,3,7,4]=>[6,2,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[4,2,6,1,3,8,7,5]=>[4,2,6,1,3,7,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[2,3,6,1,4,8,7,5]=>[2,3,6,1,4,7,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[4,2,5,3,1,8,7,6]=>[4,2,5,3,1,7,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[6,2,4,1,3,8,7,5]=>[6,2,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[7,2,1,4,3,8,6,5]=>[7,2,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[8,1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[8,1,3,4,2,7,6,5]=>[1,3,4,2,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[7,3,1,4,2,8,6,5]=>[7,3,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[6,3,4,1,2,8,7,5]=>[6,3,4,1,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[4,6,3,1,2,8,7,5]=>[4,6,3,1,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[3,6,4,1,2,8,7,5]=>[3,6,4,1,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[2,6,4,1,3,8,7,5]=>[2,6,4,1,3,7,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[2,7,1,4,3,8,6,5]=>[2,7,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[3,7,1,4,2,8,6,5]=>[3,7,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[4,7,1,3,2,8,6,5]=>[4,7,1,3,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[8,1,6,7,2,3,5,4]=>[1,6,7,2,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[4,7,1,2,3,8,6,5]=>[4,7,1,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[3,7,1,2,4,8,6,5]=>[3,7,1,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[2,7,1,3,4,8,6,5]=>[2,7,1,3,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,6,3,1,4,8,7,5]=>[2,6,3,1,4,7,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[3,6,2,1,4,8,7,5]=>[3,6,2,1,4,7,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[5,6,2,1,8,3,7,4]=>[5,6,2,1,3,7,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[6,5,2,1,8,3,7,4]=>[6,5,2,1,3,7,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[8,1,5,2,7,3,6,4]=>[1,5,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[8,1,4,2,3,7,6,5]=>[1,4,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[7,4,1,2,3,8,6,5]=>[7,4,1,2,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[6,4,2,1,3,8,7,5]=>[6,4,2,1,3,7,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[5,4,2,3,1,8,7,6]=>[5,4,2,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[3,5,2,4,1,8,7,6]=>[3,5,2,4,1,7,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[6,3,2,1,4,8,7,5]=>[6,3,2,1,4,7,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[7,3,1,2,4,8,6,5]=>[7,3,1,2,4,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[8,1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[8,1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[7,2,1,3,4,8,6,5]=>[7,2,1,3,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[6,2,3,1,4,8,7,5]=>[6,2,3,1,4,7,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[2,4,3,6,1,5,8,7]=>[2,4,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,3,6,5,8,1,7]=>[2,4,3,6,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,6,3,5,8,7,1]=>[2,4,6,3,5,7,1]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,6,3,5,8,1,7]=>[2,4,6,3,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,6,3,5,1,8,7]=>[2,4,6,3,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,6,3,1,5,8,7]=>[2,4,6,3,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,1,6,5,3,8,7]=>[2,4,1,6,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,4,6,1,5,3,8,7]=>[2,4,6,1,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[4,2,6,5,3,1,8,7]=>[4,2,6,5,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[4,2,6,5,1,3,8,7]=>[4,2,6,5,1,3,7]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[4,2,6,5,1,8,7,3]=>[4,2,6,5,1,7,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[4,2,6,5,8,1,7,3]=>[4,2,6,5,1,7,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[4,2,6,5,8,1,3,7]=>[4,2,6,5,1,3,7]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[4,2,6,5,8,3,1,7]=>[4,2,6,5,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[2,4,6,1,5,8,3,7]=>[2,4,6,1,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,4,1,6,5,8,3,7]=>[2,4,1,6,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,1,4,6,5,8,3,7]=>[2,1,4,6,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,4,1,6,5,8,7,3]=>[2,4,1,6,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,4,6,1,5,8,7,3]=>[2,4,6,1,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[4,2,6,5,3,8,7,1]=>[4,2,6,5,3,7,1]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[4,2,6,5,8,3,7,1]=>[4,2,6,5,3,7,1]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[2,6,4,3,8,7,1,5]=>[2,6,4,3,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[2,6,4,3,8,7,5,1]=>[2,6,4,3,7,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[4,2,6,8,5,3,7,1]=>[4,2,6,5,3,7,1]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[2,4,6,8,1,5,7,3]=>[2,4,6,1,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,4,6,1,8,5,7,3]=>[2,4,6,1,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,4,1,6,8,5,7,3]=>[2,4,1,6,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,1,4,6,8,5,7,3]=>[2,1,4,6,5,7,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,1,4,6,8,5,3,7]=>[2,1,4,6,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,4,1,6,8,5,3,7]=>[2,4,1,6,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,4,6,1,8,5,3,7]=>[2,4,6,1,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,4,6,8,1,5,3,7]=>[2,4,6,1,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[4,2,6,8,5,3,1,7]=>[4,2,6,5,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[4,2,6,8,5,1,3,7]=>[4,2,6,5,1,3,7]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[4,2,6,8,5,1,7,3]=>[4,2,6,5,1,7,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[2,4,6,8,3,5,7,1]=>[2,4,6,3,5,7,1]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,6,8,3,5,1,7]=>[2,4,6,3,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,6,8,3,1,5,7]=>[2,4,6,3,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,6,3,1,8,5,7]=>[2,4,6,3,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,6,3,8,1,5,7]=>[2,4,6,3,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,6,3,8,5,1,7]=>[2,4,6,3,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,6,3,8,5,7,1]=>[2,4,6,3,5,7,1]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,3,6,8,5,7,1]=>[2,4,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,3,6,8,5,1,7]=>[2,4,3,6,5,1,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,3,6,8,1,5,7]=>[2,4,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,3,6,1,8,5,7]=>[2,4,3,6,1,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,3,1,6,8,5,7]=>[2,4,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,1,3,6,8,7,5]=>[2,4,1,3,6,7,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,3,6,1,8,7,5]=>[2,4,3,6,1,7,5]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,3,6,8,1,7,5]=>[2,4,3,6,1,7,5]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[4,6,5,2,8,7,3,1]=>[4,6,5,2,7,3,1]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[4,6,5,2,8,7,1,3]=>[4,6,5,2,7,1,3]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[4,6,2,5,8,7,1,3]=>[4,6,2,5,7,1,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[4,6,2,5,8,7,3,1]=>[4,6,2,5,7,3,1]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[2,4,6,3,8,1,7,5]=>[2,4,6,3,1,7,5]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,6,3,1,8,7,5]=>[2,4,6,3,1,7,5]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,1,6,3,8,7,5]=>[2,4,1,6,3,7,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,1,4,6,3,8,7,5]=>[2,1,4,6,3,7,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,1,4,6,8,3,7,5]=>[2,1,4,6,3,7,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,1,6,8,3,7,5]=>[2,4,1,6,3,7,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,6,1,8,3,7,5]=>[2,4,6,1,3,7,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,6,8,1,3,7,5]=>[2,4,6,1,3,7,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,6,8,3,1,7,5]=>[2,4,6,3,1,7,5]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[4,6,2,8,5,7,3,1]=>[4,6,2,5,7,3,1]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[4,6,2,8,5,7,1,3]=>[4,6,2,5,7,1,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[6,2,4,8,7,1,3,5]=>[6,2,4,7,1,3,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[6,4,2,8,7,5,3,1]=>[6,4,2,7,5,3,1]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[2,6,4,8,1,7,5,3]=>[2,6,4,1,7,5,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[2,6,4,1,8,7,5,3]=>[2,6,4,1,7,5,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[2,6,1,4,8,7,5,3]=>[2,6,1,4,7,5,3]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[2,1,6,4,8,7,5,3]=>[2,1,6,4,7,5,3]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[2,1,6,4,8,7,3,5]=>[2,1,6,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[2,6,1,4,8,7,3,5]=>[2,6,1,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[2,6,4,1,8,7,3,5]=>[2,6,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[2,6,4,8,1,7,3,5]=>[2,6,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[6,4,2,8,7,5,1,3]=>[6,4,2,7,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[6,2,4,8,7,3,5,1]=>[6,2,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[6,2,4,8,7,3,1,5]=>[6,2,4,7,3,1,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[1,6,4,7,3,8,2,5]=>[1,6,4,7,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[1,3,7,4,5,8,2,6]=>[1,3,7,4,5,2,6]=>[[1,2,4,5,6],[3],[7]]=>[[1,3,7],[2],[4],[5],[6]]
[5,2,4,7,3,6,8,1]=>[5,2,4,7,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[1,7,6,3,4,8,2,5]=>[1,7,6,3,4,2,5]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[8,1,6,3,7,2,4,5]=>[1,6,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[7,1,6,3,8,2,4,5]=>[7,1,6,3,2,4,5]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[1,2,7,4,8,3,5,6]=>[1,2,7,4,3,5,6]=>[[1,2,3,5,6],[4],[7]]=>[[1,4,7],[2],[3],[5],[6]]
[6,1,7,3,4,8,2,5]=>[6,1,7,3,4,2,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[2,1,7,4,5,8,3,6]=>[2,1,7,4,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[5,1,4,7,3,8,2,6]=>[5,1,4,7,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[4,3,1,7,5,8,2,6]=>[4,3,1,7,5,2,6]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[2,8,6,3,7,1,4,5]=>[2,6,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[6,8,1,3,7,2,4,5]=>[6,1,3,7,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[5,8,2,1,7,3,4,6]=>[5,2,1,7,3,4,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[5,7,2,1,8,3,4,6]=>[5,7,2,1,3,4,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[6,7,1,3,8,2,4,5]=>[6,7,1,3,2,4,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[5,1,2,4,8,3,6,7]=>[5,1,2,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[4,3,6,1,5,8,2,7]=>[4,3,6,1,5,2,7]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[2,6,1,4,5,8,3,7]=>[2,6,1,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[6,5,1,3,4,8,2,7]=>[6,5,1,3,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7]]
[1,6,2,4,8,3,5,7]=>[1,6,2,4,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[8,5,1,3,7,2,4,6]=>[5,1,3,7,2,4,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[1,5,3,2,8,4,6,7]=>[1,5,3,2,4,6,7]=>[[1,2,4,6,7],[3],[5]]=>[[1,3,5],[2],[4],[6],[7]]
[6,4,2,1,5,8,3,7]=>[6,4,2,1,5,3,7]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[2,5,3,4,1,8,6,7]=>[2,5,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>[[1,2,5],[3],[4],[6],[7]]
[4,3,5,2,1,8,6,7]=>[4,3,5,2,1,6,7]=>[[1,5,6,7],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7]]
[2,6,4,8,7,1,3,5]=>[2,6,4,7,1,3,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[1,6,4,8,7,2,3,5]=>[1,6,4,7,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[2,7,8,3,6,1,4,5]=>[2,7,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[4,3,2,8,7,1,5,6]=>[4,3,2,7,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[5,2,4,8,7,1,3,6]=>[5,2,4,7,1,3,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[6,2,8,3,7,1,4,5]=>[6,2,3,7,1,4,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[5,1,4,8,7,2,3,6]=>[5,1,4,7,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[4,8,2,5,1,3,7,6]=>[4,2,5,1,3,7,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[4,7,2,5,1,3,8,6]=>[4,7,2,5,1,3,6]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[3,7,2,1,5,4,8,6]=>[3,7,2,1,5,4,6]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,8,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[8,3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[8,3,2,1,6,4,5,7]=>[3,2,1,6,4,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[8,4,2,5,1,6,3,7]=>[4,2,5,1,6,3,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[8,3,2,1,5,6,4,7]=>[3,2,1,5,6,4,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[8,3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[3,8,2,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,7,2,1,4,5,8,6]=>[3,7,2,1,4,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,2,7,1,4,6,8,5]=>[3,2,7,1,4,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,2,8,1,4,6,7,5]=>[3,2,1,4,6,7,5]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[3,2,8,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,8,2,1,4,7,5,6]=>[3,2,1,4,7,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,8,2,1,5,7,4,6]=>[3,2,1,5,7,4,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[4,8,2,5,1,7,3,6]=>[4,2,5,1,7,3,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[4,7,2,5,1,8,3,6]=>[4,7,2,5,1,3,6]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[3,7,2,1,5,8,4,6]=>[3,7,2,1,5,4,6]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,7,2,1,4,8,5,6]=>[3,7,2,1,4,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,2,1,7,5,8,6,4]=>[3,2,1,7,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,2,7,1,6,8,4,5]=>[3,2,7,1,6,4,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[4,2,7,6,1,8,3,5]=>[4,2,7,6,1,3,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[4,3,7,6,8,1,2,5]=>[4,3,7,6,1,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[4,3,8,6,7,1,2,5]=>[4,3,6,7,1,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[4,2,8,6,1,7,3,5]=>[4,2,6,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[3,2,8,1,6,7,4,5]=>[3,2,1,6,7,4,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,2,1,8,7,5,6,4]=>[3,2,1,7,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,8,2,1,7,4,5,6]=>[3,2,1,7,4,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,2,8,1,7,4,6,5]=>[3,2,1,7,4,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,2,8,1,6,4,7,5]=>[3,2,1,6,4,7,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,2,7,1,6,4,8,5]=>[3,2,7,1,6,4,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[4,2,7,6,1,3,8,5]=>[4,2,7,6,1,3,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[4,2,8,6,1,3,7,5]=>[4,2,6,1,3,7,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[4,2,8,7,1,3,6,5]=>[4,2,7,1,3,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[5,7,8,3,4,1,2,6]=>[5,7,3,4,1,2,6]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[4,2,7,8,1,3,6,5]=>[4,2,7,1,3,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[4,2,6,8,1,3,7,5]=>[4,2,6,1,3,7,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[4,2,6,7,1,3,8,5]=>[4,2,6,7,1,3,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[3,2,6,1,8,4,7,5]=>[3,2,6,1,4,7,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,7,2,1,8,4,5,6]=>[3,7,2,1,4,5,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,7,2,1,8,5,4,6]=>[3,7,2,1,5,4,6]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[4,7,3,8,5,1,2,6]=>[4,7,3,5,1,2,6]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[4,3,7,8,6,1,2,5]=>[4,3,7,6,1,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[3,2,7,1,8,6,4,5]=>[3,2,7,1,6,4,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,2,1,6,8,5,7,4]=>[3,2,1,6,5,7,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[3,2,6,1,8,7,4,5]=>[3,2,6,1,7,4,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[4,2,6,8,1,7,3,5]=>[4,2,6,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[4,3,6,8,7,1,2,5]=>[4,3,6,7,1,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[4,2,6,7,1,8,3,5]=>[4,2,6,7,1,3,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[3,2,6,1,7,8,4,5]=>[3,2,6,1,7,4,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,4,6,8,7,5,1,2]=>[3,4,6,7,5,1,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[5,3,6,4,8,7,1,2]=>[5,3,6,4,7,1,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[1,4,6,2,7,8,5,3]=>[1,4,6,2,7,5,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[3,1,8,5,4,2,6,7]=>[3,1,5,4,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[1,2,7,5,4,8,6,3]=>[1,2,7,5,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>[[1,4,5,7],[2],[3],[6]]
[6,3,7,5,4,8,1,2]=>[6,3,7,5,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[7,3,8,5,4,6,1,2]=>[7,3,5,4,6,1,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[3,8,7,5,4,6,1,2]=>[3,7,5,4,6,1,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[4,3,6,7,8,5,1,2]=>[4,3,6,7,5,1,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[4,5,6,3,8,7,1,2]=>[4,5,6,3,7,1,2]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[3,6,8,5,4,7,1,2]=>[3,6,5,4,7,1,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[6,8,3,5,4,7,1,2]=>[6,3,5,4,7,1,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[7,6,3,5,4,8,1,2]=>[7,6,3,5,4,1,2]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4]]
[1,6,2,5,4,8,7,3]=>[1,6,2,5,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[7,1,2,5,8,3,6,4]=>[7,1,2,5,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[1,8,2,5,7,3,6,4]=>[1,2,5,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[6,2,1,5,4,8,7,3]=>[6,2,1,5,4,7,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[4,1,6,2,8,7,5,3]=>[4,1,6,2,7,5,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[7,8,1,2,4,6,5,3]=>[7,1,2,4,6,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[7,8,3,1,4,2,6,5]=>[7,3,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[4,3,6,1,8,2,7,5]=>[4,3,6,1,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[2,3,8,5,4,1,6,7]=>[2,3,5,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>[[1,2,5],[3],[4],[6],[7]]
[4,8,1,5,2,3,7,6]=>[4,1,5,2,3,7,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[7,5,1,6,4,3,2,8]=>[7,5,1,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]
[5,8,1,6,4,3,2,7]=>[5,1,6,4,3,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[6,1,5,7,4,3,2,8]=>[6,1,5,7,4,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[1,5,8,6,4,3,2,7]=>[1,5,6,4,3,2,7]=>[[1,2,6,7],[3],[4],[5]]=>[[1,3,4,5],[2],[6],[7]]
[3,4,6,1,5,8,2,7]=>[3,4,6,1,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[7,8,4,1,5,3,2,6]=>[7,4,1,5,3,2,6]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[7,8,5,1,6,3,2,4]=>[7,5,1,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[2,6,1,5,7,3,8,4]=>[2,6,1,5,7,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[1,6,8,7,4,3,2,5]=>[1,6,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[6,8,1,7,4,3,2,5]=>[6,1,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[5,6,1,7,4,3,2,8]=>[5,6,1,7,4,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,1,7,6,4,3,2,8]=>[5,1,7,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]
[6,1,7,8,4,3,2,5]=>[6,1,7,4,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[7,1,8,6,4,3,2,5]=>[7,1,6,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[1,8,7,6,4,3,2,5]=>[1,7,6,4,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[2,1,7,5,6,3,8,4]=>[2,1,7,5,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[3,1,6,7,5,8,2,4]=>[3,1,6,7,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[7,8,1,6,5,3,2,4]=>[7,1,6,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[7,8,2,1,4,5,6,3]=>[7,2,1,4,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[2,8,1,5,4,6,7,3]=>[2,1,5,4,6,7,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[7,2,1,5,4,6,8,3]=>[7,2,1,5,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[1,2,8,5,6,3,7,4]=>[1,2,5,6,3,7,4]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[6,1,2,5,7,3,8,4]=>[6,1,2,5,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[4,2,1,5,6,3,7,8]=>[4,2,1,5,6,3,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[4,3,6,1,5,7,2,8]=>[4,3,6,1,5,7,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[5,1,6,3,7,8,2,4]=>[5,1,6,3,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[1,3,6,8,5,7,2,4]=>[1,3,6,5,7,2,4]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[2,4,6,3,7,1,8,5]=>[2,4,6,3,7,1,5]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[1,3,6,4,8,7,2,5]=>[1,3,6,4,7,2,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[4,1,6,7,3,8,2,5]=>[4,1,6,7,3,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[5,4,6,1,3,7,2,8]=>[5,4,6,1,3,7,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[6,4,1,5,2,3,7,8]=>[6,4,1,5,2,3,7]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[4,1,7,5,2,3,8,6]=>[4,1,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[1,2,4,5,8,3,7,6]=>[1,2,4,5,3,7,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[7,2,3,5,4,1,8,6]=>[7,2,3,5,4,1,6]=>[[1,3,4,6],[2],[5],[7]]=>[[1,2,5,7],[3],[4],[6]]
[2,8,3,5,4,1,7,6]=>[2,3,5,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[4,2,6,3,8,1,7,5]=>[4,2,6,3,1,7,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[7,8,2,3,4,1,6,5]=>[7,2,3,4,1,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[7,8,1,4,6,3,2,5]=>[7,1,4,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[3,1,6,4,7,8,2,5]=>[3,1,6,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[1,8,5,7,4,3,2,6]=>[1,5,7,4,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[7,1,5,8,4,3,2,6]=>[7,1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[5,1,8,7,4,3,2,6]=>[5,1,7,4,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[6,5,1,8,4,3,2,7]=>[6,5,1,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[6,5,7,1,4,3,2,8]=>[6,5,7,1,4,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>[[1,3,4,5,6],[2,7]]
[7,5,8,1,4,3,2,6]=>[7,5,1,4,3,2,6]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[5,8,7,1,4,3,2,6]=>[5,7,1,4,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[1,5,7,8,4,3,2,6]=>[1,5,7,4,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[2,4,7,5,1,3,8,6]=>[2,4,7,5,1,3,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[7,8,4,6,1,3,2,5]=>[7,4,6,1,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[7,8,5,4,1,3,2,6]=>[7,5,4,1,3,2,6]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[3,5,6,4,1,8,2,7]=>[3,5,6,4,1,2,7]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[2,6,4,5,1,3,8,7]=>[2,6,4,5,1,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[1,6,5,8,4,3,2,7]=>[1,6,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[6,8,5,1,4,3,2,7]=>[6,5,1,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[7,6,5,1,4,3,2,8]=>[7,6,5,1,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2]]
[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8]]=>[[1],[2],[3],[4],[5],[6],[7],[8]]
[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,8,6,7]=>[[1,2,3,4,5,6,7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]
[1,2,3,4,7,5,8,9,6]=>[1,2,3,4,7,5,8,6]=>[[1,2,3,4,5,6],[7,8]]=>[[1,7],[2,8],[3],[4],[5],[6]]
[1,2,3,6,4,7,8,9,5]=>[1,2,3,6,4,7,8,5]=>[[1,2,3,4,5,8],[6,7]]=>[[1,6],[2,7],[3],[4],[5],[8]]
[1,2,5,3,6,7,8,9,4]=>[1,2,5,3,6,7,8,4]=>[[1,2,3,4,7,8],[5,6]]=>[[1,5],[2,6],[3],[4],[7],[8]]
[1,4,2,5,6,7,8,9,3]=>[1,4,2,5,6,7,8,3]=>[[1,2,3,6,7,8],[4,5]]=>[[1,4],[2,5],[3],[6],[7],[8]]
[9,8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]
[7,8,9,1,2,3,4,5,6]=>[7,8,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[[1,7],[2,8],[3],[4],[5],[6]]
[9,8,7,1,2,3,4,5,6]=>[8,7,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7],[8]]=>[[1,7,8],[2],[3],[4],[5],[6]]
[6,7,8,9,1,2,3,4,5]=>[6,7,8,1,2,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[[1,6],[2,7],[3,8],[4],[5]]
[9,6,7,8,1,2,3,4,5]=>[6,7,8,1,2,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>[[1,6],[2,7],[3,8],[4],[5]]
[8,9,6,7,1,2,3,4,5]=>[8,6,7,1,2,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[[1,6,8],[2,7],[3],[4],[5]]
[9,8,6,7,1,2,3,4,5]=>[8,6,7,1,2,3,4,5]=>[[1,2,3,4,5],[6,7],[8]]=>[[1,6,8],[2,7],[3],[4],[5]]
[9,8,7,6,1,2,3,4,5]=>[8,7,6,1,2,3,4,5]=>[[1,2,3,4,5],[6],[7],[8]]=>[[1,6,7,8],[2],[3],[4],[5]]
[9,5,6,7,8,1,2,3,4]=>[5,6,7,8,1,2,3,4]=>[[1,2,3,4],[5,6,7,8]]=>[[1,5],[2,6],[3,7],[4,8]]
[8,9,5,6,7,1,2,3,4]=>[8,5,6,7,1,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[[1,5,8],[2,6],[3,7],[4]]
[9,8,5,6,7,1,2,3,4]=>[8,5,6,7,1,2,3,4]=>[[1,2,3,4],[5,6,7],[8]]=>[[1,5,8],[2,6],[3,7],[4]]
[9,7,8,5,6,1,2,3,4]=>[7,8,5,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>[[1,5,7],[2,6,8],[3],[4]]
[9,8,7,5,6,1,2,3,4]=>[8,7,5,6,1,2,3,4]=>[[1,2,3,4],[5,6],[7],[8]]=>[[1,5,7,8],[2,6],[3],[4]]
[9,8,7,6,5,1,2,3,4]=>[8,7,6,5,1,2,3,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>[[1,5,6,7,8],[2],[3],[4]]
[9,8,7,4,5,6,1,2,3]=>[8,7,4,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7],[8]]=>[[1,4,7,8],[2,5],[3,6]]
[8,9,6,7,4,5,1,2,3]=>[8,6,7,4,5,1,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[[1,4,6,8],[2,5,7],[3]]
[9,8,6,7,4,5,1,2,3]=>[8,6,7,4,5,1,2,3]=>[[1,2,3],[4,5],[6,7],[8]]=>[[1,4,6,8],[2,5,7],[3]]
[9,8,7,6,5,4,1,2,3]=>[8,7,6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>[[1,4,5,6,7,8],[2],[3]]
[9,7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[[1,3,5,7],[2,4,6,8]]
[9,8,7,5,6,3,4,1,2]=>[8,7,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>[[1,3,5,7,8],[2,4,6]]
[9,8,7,6,5,3,4,1,2]=>[8,7,6,5,3,4,1,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>[[1,3,5,6,7,8],[2,4]]
[9,8,7,6,5,4,3,1,2]=>[8,7,6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[[1,3,4,5,6,7,8],[2]]
[9,10,1,2,3,4,5,6,7,8]=>[9,1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]
[8,9,10,1,2,3,4,5,6,7]=>[8,9,1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]
[10,8,9,1,2,3,4,5,6,7]=>[8,9,1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]
[10,9,8,1,2,3,4,5,6,7]=>[9,8,1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]
[7,8,9,10,1,2,3,4,5,6]=>[7,8,9,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9]]=>[[1,7],[2,8],[3,9],[4],[5],[6]]
[10,7,8,9,1,2,3,4,5,6]=>[7,8,9,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9]]=>[[1,7],[2,8],[3,9],[4],[5],[6]]
[9,10,7,8,1,2,3,4,5,6]=>[9,7,8,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8],[9]]=>[[1,7,9],[2,8],[3],[4],[5],[6]]
[10,9,7,8,1,2,3,4,5,6]=>[9,7,8,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8],[9]]=>[[1,7,9],[2,8],[3],[4],[5],[6]]
[10,9,8,7,1,2,3,4,5,6]=>[9,8,7,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7],[8],[9]]=>[[1,7,8,9],[2],[3],[4],[5],[6]]
[10,6,7,8,9,1,2,3,4,5]=>[6,7,8,9,1,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9]]=>[[1,6],[2,7],[3,8],[4,9],[5]]
[10,9,8,7,6,1,2,3,4,5]=>[9,8,7,6,1,2,3,4,5]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>[[1,6,7,8,9],[2],[3],[4],[5]]
[10,9,8,7,6,5,1,2,3,4]=>[9,8,7,6,5,1,2,3,4]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>[[1,5,6,7,8,9],[2],[3],[4]]
[10,9,8,7,6,5,4,1,2,3]=>[9,8,7,6,5,4,1,2,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>[[1,4,5,6,7,8,9],[2],[3]]
[9,10,7,8,5,6,3,4,1,2]=>[9,7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>[[1,3,5,7,9],[2,4,6,8]]
[10,9,7,8,5,6,3,4,1,2]=>[9,7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>[[1,3,5,7,9],[2,4,6,8]]
[10,9,8,7,6,5,4,3,1,2]=>[9,8,7,6,5,4,3,1,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,3,4,5,6,7,8,9],[2]]
[3,4,6,2,7,1,5,8]=>[3,4,6,2,7,1,5]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[3,6,2,5,4,1,7,8]=>[3,6,2,5,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[3,2,7,5,4,1,6,8]=>[3,2,7,5,4,1,6]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[4,3,6,2,8,1,5,7]=>[4,3,6,2,1,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[6,1,2,5,4,7,8,3]=>[6,1,2,5,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[6,2,4,5,1,3,7,8]=>[6,2,4,5,1,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[4,2,8,5,1,3,7,6]=>[4,2,5,1,3,7,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[4,3,6,8,1,7,2,5]=>[4,3,6,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[5,3,6,4,1,7,2,8]=>[5,3,6,4,1,7,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[6,2,1,5,8,3,7,4]=>[6,2,1,5,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[1,6,7,4,8,3,5,2]=>[1,6,7,4,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[1,4,6,3,7,5,8,2]=>[1,4,6,3,7,5,2]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[4,6,7,2,5,8,1,3]=>[4,6,7,2,5,1,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[2,4,6,1,7,5,3,8]=>[2,4,6,1,7,5,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,7,5,4,1,6,3,8]=>[2,7,5,4,1,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[7,5,4,6,2,8,1,3]=>[7,5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]
[1,7,5,4,3,8,6,2]=>[1,7,5,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[1,4,6,3,5,8,7,2]=>[1,4,6,3,5,7,2]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[1,5,8,4,3,6,7,2]=>[1,5,4,3,6,7,2]=>[[1,2,6,7],[3],[4],[5]]=>[[1,3,4,5],[2],[6],[7]]
[5,4,6,2,7,8,1,3]=>[5,4,6,2,7,1,3]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[2,5,4,1,6,7,3,8]=>[2,5,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[5,6,3,2,7,1,4,8]=>[5,6,3,2,7,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,6,3,2,7,1,8,4]=>[5,6,3,2,7,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[8,5,6,3,2,7,1,4]=>[5,6,3,2,7,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,4,6,2,8,1,7,3]=>[5,4,6,2,1,7,3]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[2,4,1,7,8,5,3,6]=>[2,4,1,7,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[2,5,4,1,6,3,8,7]=>[2,5,4,1,6,3,7]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[5,6,3,2,1,8,4,7]=>[5,6,3,2,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[3,5,2,1,6,4,7,8]=>[3,5,2,1,6,4,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[6,8,4,3,2,1,5,7]=>[6,4,3,2,1,5,7]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5],[7]]
[5,3,8,2,1,6,4,7]=>[5,3,2,1,6,4,7]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[3,7,5,8,2,1,4,6]=>[3,7,5,2,1,4,6]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[7,3,2,8,5,1,6,4]=>[7,3,2,5,1,6,4]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[8,4,6,3,2,1,7,5]=>[4,6,3,2,1,7,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[8,6,4,3,2,1,7,5]=>[6,4,3,2,1,7,5]=>[[1,5],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7]]
[7,6,4,3,2,1,8,5]=>[7,6,4,3,2,1,5]=>[[1,5],[2],[3],[4],[6],[7]]=>[[1,2,3,4,6,7],[5]]
[7,8,4,3,2,1,6,5]=>[7,4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4],[7]]=>[[1,2,3,4,7],[5,6]]
[5,4,7,2,1,8,6,3]=>[5,4,7,2,1,6,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[7,5,8,3,2,6,1,4]=>[7,5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[5,7,3,2,1,6,8,4]=>[5,7,3,2,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[5,7,3,2,1,6,4,8]=>[5,7,3,2,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[6,3,7,2,5,1,8,4]=>[6,3,7,2,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[6,7,8,3,5,2,1,4]=>[6,7,3,5,2,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[6,2,5,7,8,4,1,3]=>[6,2,5,7,4,1,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[2,1,5,7,8,6,3,4]=>[2,1,5,7,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[3,6,7,2,8,1,4,5]=>[3,6,7,2,1,4,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[6,3,7,2,8,1,4,5]=>[6,3,7,2,1,4,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[3,2,6,1,7,4,5,8]=>[3,2,6,1,7,4,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,5,2,1,4,7,6,8]=>[3,5,2,1,4,7,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[7,3,5,2,1,8,4,6]=>[7,3,5,2,1,4,6]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[2,5,4,1,3,7,8,6]=>[2,5,4,1,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[2,5,8,4,1,3,7,6]=>[2,5,4,1,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[2,4,1,7,8,3,6,5]=>[2,4,1,7,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[3,7,2,8,6,1,4,5]=>[3,7,2,6,1,4,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,6,8,2,1,7,4,5]=>[3,6,2,1,7,4,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[5,3,8,2,1,4,7,6]=>[5,3,2,1,4,7,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[4,8,7,3,2,1,5,6]=>[4,7,3,2,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,7,3,2,1,5,6,8]=>[4,7,3,2,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[8,4,7,3,2,1,5,6]=>[4,7,3,2,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[8,3,5,2,1,4,7,6]=>[3,5,2,1,4,7,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[7,3,2,8,6,1,4,5]=>[7,3,2,6,1,4,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[3,5,2,1,4,6,8,7]=>[3,5,2,1,4,6,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[7,8,6,5,4,3,2,1,9]=>[7,8,6,5,4,3,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[[1,2,3,4,5,6,7],[8]]
[1,8,9,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[[1,3,4,5,6,7,8],[2]]
[8,9,7,6,5,4,3,2,1,10]=>[8,9,7,6,5,4,3,2,1]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3,4,5,6,7,8],[9]]
[7,6,8,5,4,3,2,1,9]=>[7,6,8,5,4,3,2,1]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[[1,2,3,4,5,6,7],[8]]
[6,8,7,5,4,3,2,1,9]=>[6,8,7,5,4,3,2,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[[1,2,3,4,5,6,8],[7]]
[1,8,7,9,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>[[1,3,4,5,6,7,8],[2]]
[1,7,9,8,6,5,4,3,2]=>[1,7,8,6,5,4,3,2]=>[[1,2,8],[3],[4],[5],[6],[7]]=>[[1,3,4,5,6,7],[2],[8]]
[1,9,10,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>[[1,3,4,5,6,7,8,9],[2]]
[7,8,3,5,4,6,1,2]=>[7,3,5,4,6,1,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[8,6,3,7,5,2,4,1]=>[6,3,7,5,2,4,1]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[5,4,1,6,3,2,8,7]=>[5,4,1,6,3,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[5,4,1,6,2,3,8,7]=>[5,4,1,6,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[5,7,1,6,2,8,3,4]=>[5,7,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[5,7,1,6,2,8,4,3]=>[5,7,1,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[2,7,6,5,1,8,3,4]=>[2,7,6,5,1,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[2,7,6,5,1,8,4,3]=>[2,7,6,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,2,5,6,7],[3,4]]
[2,3,6,5,1,4,8,7]=>[2,3,6,5,1,4,7]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[2,3,6,4,1,5,8,7]=>[2,3,6,4,1,5,7]=>[[1,3,4,5,7],[2],[6]]=>[[1,2,6],[3],[4],[5],[7]]
[2,3,6,1,5,4,8,7]=>[2,3,6,1,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[2,7,6,1,4,8,5,3]=>[2,7,6,1,4,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[2,7,6,1,4,8,3,5]=>[2,7,6,1,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[7,3,5,1,8,4,2,6]=>[7,3,5,1,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[7,3,5,1,8,6,4,2]=>[7,3,5,1,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[2,7,6,1,5,8,4,3]=>[2,7,6,1,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,2,5,6,7],[3,4]]
[2,7,6,4,1,8,5,3]=>[2,7,6,4,1,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[2,1,7,6,3,8,5,4]=>[2,1,7,6,3,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[2,1,7,6,3,8,4,5]=>[2,1,7,6,3,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[5,7,3,6,2,8,4,1]=>[5,7,3,6,2,4,1]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[2,7,6,4,1,8,3,5]=>[2,7,6,4,1,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[7,3,5,1,8,6,2,4]=>[7,3,5,1,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[6,3,5,1,8,2,4,7]=>[6,3,5,1,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[2,3,4,8,7,6,1,5]=>[2,3,4,7,6,1,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,3,4,8,5,7,1,6]=>[2,3,4,5,7,1,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[7,3,5,4,8,1,2,6]=>[7,3,5,4,1,2,6]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[6,4,3,5,8,7,2,1]=>[6,4,3,5,7,2,1]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5],[7]]
[2,1,4,5,8,7,3,6]=>[2,1,4,5,7,3,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[6,4,3,5,8,7,1,2]=>[6,4,3,5,7,1,2]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[7,3,5,4,8,1,6,2]=>[7,3,5,4,1,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[2,3,4,8,7,5,6,1]=>[2,3,4,7,5,6,1]=>[[1,3,4,5,6],[2],[7]]=>[[1,2,7],[3],[4],[5],[6]]
[2,3,4,8,7,5,1,6]=>[2,3,4,7,5,1,6]=>[[1,3,4,5,6],[2],[7]]=>[[1,2,7],[3],[4],[5],[6]]
[2,7,6,5,4,8,1,3]=>[2,7,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,2,5,6,7],[3,4]]
[7,3,5,6,8,4,1,2]=>[7,3,5,6,4,1,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[7,3,5,6,8,1,4,2]=>[7,3,5,6,1,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[7,3,5,6,8,1,2,4]=>[7,3,5,6,1,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[6,4,1,5,8,7,2,3]=>[6,4,1,5,7,2,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[6,4,1,5,8,7,3,2]=>[6,4,1,5,7,3,2]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[6,4,1,5,8,3,7,2]=>[6,4,1,5,3,7,2]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[5,7,1,6,3,8,2,4]=>[5,7,1,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[6,4,1,5,8,3,2,7]=>[6,4,1,5,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[7,4,1,5,8,2,3,6]=>[7,4,1,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[7,4,1,5,8,2,6,3]=>[7,4,1,5,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[6,3,5,7,8,2,1,4]=>[6,3,5,7,2,1,4]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[6,3,5,7,8,2,4,1]=>[6,3,5,7,2,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[2,7,6,4,5,8,3,1]=>[2,7,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>[[1,2,4,6,7],[3],[5]]
[5,7,3,6,1,8,4,2]=>[5,7,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]
[2,1,4,5,8,6,3,7]=>[2,1,4,5,6,3,7]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[7,3,5,4,8,6,2,1]=>[7,3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>[[1,2,3,5,7],[4],[6]]
[2,3,4,8,5,6,1,7]=>[2,3,4,5,6,1,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[2,3,4,8,7,1,6,5]=>[2,3,4,7,1,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,3,4,8,1,7,6,5]=>[2,3,4,1,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,3,4,8,1,6,7,5]=>[2,3,4,1,6,7,5]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[2,3,4,8,5,1,7,6]=>[2,3,4,5,1,7,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[6,3,5,4,8,2,7,1]=>[6,3,5,4,2,7,1]=>[[1,4,7],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4],[7]]
[7,4,3,5,8,2,1,6]=>[7,4,3,5,2,1,6]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[2,1,4,5,8,3,7,6]=>[2,1,4,5,3,7,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[7,4,3,5,8,2,6,1]=>[7,4,3,5,2,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[6,3,5,4,8,2,1,7]=>[6,3,5,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4],[7]]
[2,3,4,8,5,1,6,7]=>[2,3,4,5,1,6,7]=>[[1,3,4,5,6,7],[2]]=>[[1,2],[3],[4],[5],[6],[7]]
[2,3,4,8,1,6,5,7]=>[2,3,4,1,6,5,7]=>[[1,3,4,5,7],[2,6]]=>[[1,2],[3,6],[4],[5],[7]]
[2,3,4,8,1,5,7,6]=>[2,3,4,1,5,7,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[7,8,2,6,1,5,3,4]=>[7,2,6,1,5,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[7,8,1,6,2,5,3,4]=>[7,1,6,2,5,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[1,8,6,7,2,5,3,4]=>[1,6,7,2,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[1,8,5,7,2,6,3,4]=>[1,5,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[5,8,1,7,2,6,3,4]=>[5,1,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[5,8,2,7,1,6,3,4]=>[5,2,7,1,6,3,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[2,8,6,7,1,5,3,4]=>[2,6,7,1,5,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[2,8,5,7,1,6,3,4]=>[2,5,7,1,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[2,8,1,7,5,6,3,4]=>[2,1,7,5,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[1,8,2,7,5,6,3,4]=>[1,2,7,5,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[1,8,2,7,4,6,3,5]=>[1,2,7,4,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[2,8,1,7,4,6,3,5]=>[2,1,7,4,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[2,8,4,7,1,6,3,5]=>[2,4,7,1,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[4,8,2,7,1,6,3,5]=>[4,2,7,1,6,3,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[4,8,1,7,2,6,3,5]=>[4,1,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[1,8,4,7,2,6,3,5]=>[1,4,7,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[4,8,1,7,5,6,2,3]=>[4,1,7,5,6,2,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[1,8,4,7,5,6,2,3]=>[1,4,7,5,6,2,3]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[1,8,3,7,5,6,2,4]=>[1,3,7,5,6,2,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[3,8,1,7,5,6,2,4]=>[3,1,7,5,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[3,8,1,7,4,6,2,5]=>[3,1,7,4,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[1,8,3,7,4,6,2,5]=>[1,3,7,4,6,2,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[1,8,3,7,2,6,4,5]=>[1,3,7,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[3,8,1,7,2,6,4,5]=>[3,1,7,2,6,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[3,8,2,7,1,6,4,5]=>[3,2,7,1,6,4,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,8,2,7,4,6,1,5]=>[3,2,7,4,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,8,2,7,5,6,1,4]=>[3,2,7,5,6,1,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[4,8,2,7,5,6,1,3]=>[4,2,7,5,6,1,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[4,8,3,7,5,6,1,2]=>[4,3,7,5,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[3,8,4,7,5,6,1,2]=>[3,4,7,5,6,1,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[2,8,4,7,5,6,1,3]=>[2,4,7,5,6,1,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[2,8,3,7,5,6,1,4]=>[2,3,7,5,6,1,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[2,8,3,7,4,6,1,5]=>[2,3,7,4,6,1,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,8,3,7,1,6,4,5]=>[2,3,7,1,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[2,8,1,7,3,6,4,5]=>[2,1,7,3,6,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[7,5,2,8,6,4,1,3]=>[7,5,2,6,4,1,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[7,5,1,8,6,2,3,4]=>[7,5,1,6,2,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[7,4,8,6,1,5,2,3]=>[7,4,6,1,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[7,1,8,4,5,2,6,3]=>[7,1,4,5,2,6,3]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[6,8,1,7,4,2,5,3]=>[6,1,7,4,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[1,6,7,4,2,8,5,3]=>[1,6,7,4,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[1,6,7,3,8,5,2,4]=>[1,6,7,3,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[7,1,8,3,5,6,2,4]=>[7,1,3,5,6,2,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[7,3,8,6,2,5,1,4]=>[7,3,6,2,5,1,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[7,4,2,8,6,1,3,5]=>[7,4,2,6,1,3,5]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[7,3,1,8,4,2,5,6]=>[7,3,1,4,2,5,6]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[7,2,8,4,1,5,3,6]=>[7,2,4,1,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[7,2,8,3,5,1,6,4]=>[7,2,3,5,1,6,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[7,2,8,3,4,6,1,5]=>[7,2,3,4,6,1,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[1,5,7,8,2,6,3,4]=>[1,5,7,2,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[6,2,3,8,5,7,4,1]=>[6,2,3,5,7,4,1]=>[[1,3,4,7],[2],[5],[6]]=>[[1,2,5,6],[3],[4],[7]]
[6,2,4,8,5,3,1,7]=>[6,2,4,5,3,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[6,3,1,4,8,5,2,7]=>[6,3,1,4,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[2,6,3,7,8,5,4,1]=>[2,6,3,7,5,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[2,6,3,7,8,4,5,1]=>[2,6,3,7,4,5,1]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[2,4,7,3,5,6,8,1]=>[2,4,7,3,5,6,1]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[2,4,7,3,6,8,5,1]=>[2,4,7,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[2,5,3,7,8,1,6,4]=>[2,5,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[3,1,5,4,7,8,2,6]=>[3,1,5,4,7,2,6]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[5,3,1,4,8,2,6,7]=>[5,3,1,4,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[5,2,4,8,6,1,3,7]=>[5,2,4,6,1,3,7]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[5,2,3,8,4,6,7,1]=>[5,2,3,4,6,7,1]=>[[1,3,4,6,7],[2],[5]]=>[[1,2,5],[3],[4],[6],[7]]
[4,8,2,3,6,1,7,5]=>[4,2,3,6,1,7,5]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[4,8,2,3,5,7,1,6]=>[4,2,3,5,7,1,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[1,4,7,8,3,6,2,5]=>[1,4,7,3,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[4,8,1,3,6,7,2,5]=>[4,1,3,6,7,2,5]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[5,3,8,2,4,7,1,6]=>[5,3,2,4,7,1,6]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[5,4,3,8,1,2,7,6]=>[5,4,3,1,2,7,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[6,4,2,8,1,3,7,5]=>[6,4,2,1,3,7,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[6,3,8,2,5,1,7,4]=>[6,3,2,5,1,7,4]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[6,3,8,1,4,7,2,5]=>[6,3,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[5,8,1,3,6,2,7,4]=>[5,1,3,6,2,7,4]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[1,5,7,4,2,6,8,3]=>[1,5,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[5,8,1,4,2,6,3,7]=>[5,1,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[5,8,4,1,2,7,6,3]=>[5,4,1,2,7,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[6,5,1,2,8,7,3,4]=>[6,5,1,2,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[6,5,3,1,4,2,8,7]=>[6,5,3,1,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[5,3,1,6,4,2,7,8]=>[5,3,1,6,4,2,7]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[5,2,6,4,1,7,3,8]=>[5,2,6,4,1,7,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[4,6,1,7,5,2,8,3]=>[4,6,1,7,5,2,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[4,5,1,7,2,6,3,8]=>[4,5,1,7,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[3,5,6,1,2,8,7,4]=>[3,5,6,1,2,7,4]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[3,5,7,1,8,6,2,4]=>[3,5,7,1,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[3,6,2,7,5,1,8,4]=>[3,6,2,7,5,1,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[4,2,5,7,1,8,6,3]=>[4,2,5,7,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[3,4,7,2,8,6,1,5]=>[3,4,7,2,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,4,5,8,2,7,1,6]=>[3,4,5,2,7,1,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[3,4,6,2,8,1,5,7]=>[3,4,6,2,1,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[3,5,2,6,8,1,7,4]=>[3,5,2,6,1,7,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[4,2,5,6,1,3,8,7]=>[4,2,5,6,1,3,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[4,3,1,2,5,6,8,7]=>[4,3,1,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>[[1,3,4],[2],[5],[6],[7]]
[5,3,6,8,4,7,2,1]=>[5,3,6,4,7,2,1]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[3,7,2,5,4,8,6,1]=>[3,7,2,5,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[8,4,2,5,7,3,6,1]=>[4,2,5,7,3,6,1]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[4,7,2,5,8,3,6,1]=>[4,7,2,5,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[5,2,6,8,4,3,7,1]=>[5,2,6,4,3,7,1]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[3,1,6,5,4,8,2,7]=>[3,1,6,5,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[4,1,6,5,8,3,2,7]=>[4,1,6,5,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[5,1,6,8,4,3,2,7]=>[5,1,6,4,3,2,7]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[8,5,4,7,6,3,2,1]=>[5,4,7,6,3,2,1]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[5,7,1,8,4,3,2,6]=>[5,7,1,4,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[2,7,1,5,4,3,8,6]=>[2,7,1,5,4,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[8,2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[8,4,1,5,7,3,2,6]=>[4,1,5,7,3,2,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[8,5,6,7,1,3,2,4]=>[5,6,7,1,3,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[8,4,6,1,7,3,2,5]=>[4,6,1,7,3,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[8,3,6,1,4,7,2,5]=>[3,6,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[2,7,6,1,4,3,8,5]=>[2,7,6,1,4,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[6,7,8,5,1,3,2,4]=>[6,7,5,1,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[5,7,6,8,2,3,4,1]=>[5,7,6,2,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[5,7,2,8,4,3,6,1]=>[5,7,2,4,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[6,7,8,2,4,3,5,1]=>[6,7,2,4,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[4,7,6,2,8,3,5,1]=>[4,7,6,2,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[8,3,6,2,4,7,5,1]=>[3,6,2,4,7,5,1]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,7,6,2,4,8,5,1]=>[3,7,6,2,4,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[5,7,3,8,4,6,2,1]=>[5,7,3,4,6,2,1]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[4,7,3,5,8,6,2,1]=>[4,7,3,5,6,2,1]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[8,7,2,1,4,3,6,5]=>[7,2,1,4,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[8,7,3,1,4,6,2,5]=>[7,3,1,4,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[8,7,6,3,2,5,4,1]=>[7,6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[[1,2,3,6,7],[4,5]]
[8,7,3,5,1,6,2,4]=>[7,3,5,1,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[8,7,2,5,1,3,6,4]=>[7,2,5,1,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[8,2,6,5,1,3,7,4]=>[2,6,5,1,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[8,4,6,5,7,1,2,3]=>[4,6,5,7,1,2,3]=>[[1,2,3],[4,5,7],[6]]=>[[1,4,6],[2,5],[3,7]]
[5,7,6,8,4,1,2,3]=>[5,7,6,4,1,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[4,7,6,5,8,1,2,3]=>[4,7,6,5,1,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[3,7,6,5,1,8,2,4]=>[3,7,6,5,1,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[8,1,2,3,4,5,6,7,9]=>[8,1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]
[1,9,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8]]=>[[1],[2],[3],[4],[5],[6],[7],[8]]
[9,1,2,3,4,5,6,7,8,10]=>[9,1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]
[7,8,1,2,3,4,5,6,9]=>[7,8,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[[1,7],[2,8],[3],[4],[5],[6]]
[1,8,9,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]
[1,10,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9]]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]
[10,1,2,3,4,5,6,7,8,9,11]=>[10,1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]
[8,9,1,2,3,4,5,6,7,10]=>[8,9,1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]
[7,1,8,2,3,4,5,6,9]=>[7,1,8,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8]]=>[[1,7],[2,8],[3],[4],[5],[6]]
[6,8,1,2,3,4,5,7,9]=>[6,8,1,2,3,4,5,7]=>[[1,2,3,4,5,7],[6,8]]=>[[1,6],[2,8],[3],[4],[5],[7]]
[1,8,2,9,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7],[8]]=>[[1,8],[2],[3],[4],[5],[6],[7]]
[1,7,9,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[[1,2,3,4,5,6,8],[7]]=>[[1,7],[2],[3],[4],[5],[6],[8]]
[1,9,10,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8],[9]]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]
[1,11,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[[1,2,3,4,5,6,7,8,9,10]]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]
[3,6,4,8,7,5,1,2]=>[3,6,4,7,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[5,6,4,3,8,7,1,2]=>[5,6,4,3,7,1,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[1,6,2,4,7,8,5,3]=>[1,6,2,4,7,5,3]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[3,6,2,4,8,1,5,7]=>[3,6,2,4,1,5,7]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[3,4,7,2,8,1,6,5]=>[3,4,7,2,1,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[1,4,7,2,5,8,6,3]=>[1,4,7,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[7,3,8,4,5,6,1,2]=>[7,3,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[3,5,6,4,8,7,1,2]=>[3,5,6,4,7,1,2]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[4,6,8,5,3,7,1,2]=>[4,6,5,3,7,1,2]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[6,8,5,3,4,7,1,2]=>[6,5,3,4,7,1,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[1,6,5,4,2,8,7,3]=>[1,6,5,4,2,7,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[1,8,5,2,7,3,6,4]=>[1,5,2,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[4,2,7,5,1,8,6,3]=>[4,2,7,5,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[7,8,1,4,2,6,5,3]=>[7,1,4,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[1,3,6,4,8,2,5,7]=>[1,3,6,4,2,5,7]=>[[1,2,4,5,7],[3],[6]]=>[[1,3,6],[2],[4],[5],[7]]
[4,1,7,5,3,2,6,8]=>[4,1,7,5,3,2,6]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[6,5,1,3,4,2,8,7]=>[6,5,1,3,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7]]
[4,8,5,3,1,7,2,6]=>[4,5,3,1,7,2,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[7,4,5,3,2,8,1,6]=>[7,4,5,3,2,1,6]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[5,8,3,6,1,4,2,7]=>[5,3,6,1,4,2,7]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[2,5,8,6,4,1,3,7]=>[2,5,6,4,1,3,7]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[1,4,6,2,5,8,3,7]=>[1,4,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[3,6,2,5,8,1,7,4]=>[3,6,2,5,1,7,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[1,6,8,7,4,2,3,5]=>[1,6,7,4,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[6,1,7,8,2,4,3,5]=>[6,1,7,2,4,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[7,1,8,6,3,4,2,5]=>[7,1,6,3,4,2,5]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[7,2,1,4,5,6,8,3]=>[7,2,1,4,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[1,2,8,3,6,5,7,4]=>[1,2,3,6,5,7,4]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[6,1,3,2,7,5,8,4]=>[6,1,3,2,7,5,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[1,6,3,8,5,7,2,4]=>[1,6,3,5,7,2,4]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[2,6,4,1,7,5,8,3]=>[2,6,4,1,7,5,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[7,6,5,8,1,4,2,3]=>[7,6,5,1,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[5,8,6,7,3,2,1,4]=>[5,6,7,3,2,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[1,6,4,3,7,2,8,5]=>[1,6,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[2,6,3,4,8,7,1,5]=>[2,6,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[7,1,3,4,5,2,8,6]=>[7,1,3,4,5,2,6]=>[[1,2,4,5,6],[3],[7]]=>[[1,3,7],[2],[4],[5],[6]]
[1,8,3,5,4,2,7,6]=>[1,3,5,4,2,7,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[4,1,6,3,8,2,7,5]=>[4,1,6,3,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[7,8,2,4,6,3,1,5]=>[7,2,4,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[3,2,6,4,7,8,1,5]=>[3,2,6,4,7,1,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[2,8,5,7,4,3,1,6]=>[2,5,7,4,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[7,2,5,8,3,4,1,6]=>[7,2,5,3,4,1,6]=>[[1,3,4,6],[2],[5],[7]]=>[[1,2,5,7],[3],[4],[6]]
[5,3,8,7,1,2,6,4]=>[5,3,7,1,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[6,5,3,8,2,1,7,4]=>[6,5,3,2,1,7,4]=>[[1,4],[2,7],[3],[5],[6]]=>[[1,2,3,5,6],[4,7]]
[7,5,8,4,1,2,3,6]=>[7,5,4,1,2,3,6]=>[[1,2,3,6],[4],[5],[7]]=>[[1,4,5,7],[2],[3],[6]]
[5,8,7,4,1,3,2,6]=>[5,7,4,1,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[3,5,7,8,4,1,2,6]=>[3,5,7,4,1,2,6]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[1,4,7,5,3,8,2,6]=>[1,4,7,5,3,2,6]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[2,4,6,7,3,1,8,5]=>[2,4,6,7,3,1,5]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[7,8,4,6,3,1,2,5]=>[7,4,6,3,1,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[2,6,4,5,3,8,1,7]=>[2,6,4,5,3,1,7]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[3,6,5,8,4,2,1,7]=>[3,6,5,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4],[7]]
[5,6,8,4,2,3,1,7]=>[5,6,4,2,3,1,7]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[6,8,5,4,3,1,2,7]=>[6,5,4,3,1,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[6,1,4,2,8,5,7,3]=>[6,1,4,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[4,8,6,5,3,2,7,1]=>[4,6,5,3,2,7,1]=>[[1,5,7],[2],[3],[4],[6]]=>[[1,2,3,4,6],[5],[7]]
[8,6,5,1,2,4,7,3]=>[6,5,1,2,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[6,7,5,8,2,1,4,3]=>[6,7,5,2,1,4,3]=>[[1,3],[2,4],[5,7],[6]]=>[[1,2,5,6],[3,4,7]]
[1,7,5,8,2,6,4,3]=>[1,7,5,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[1,3,8,5,7,6,2,4]=>[1,3,5,7,6,2,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[6,3,8,5,7,1,2,4]=>[6,3,5,7,1,2,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[8,3,1,5,6,2,7,4]=>[3,1,5,6,2,7,4]=>[[1,2,4,7],[3,5,6]]=>[[1,3],[2,5],[4,6],[7]]
[6,8,5,2,1,4,7,3]=>[6,5,2,1,4,7,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[3,8,2,5,6,1,7,4]=>[3,2,5,6,1,7,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[2,8,1,5,6,3,7,4]=>[2,1,5,6,3,7,4]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[8,1,2,5,6,3,7,4]=>[1,2,5,6,3,7,4]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[1,8,2,5,7,6,3,4]=>[1,2,5,7,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[5,1,8,6,2,7,3,4]=>[5,1,6,2,7,3,4]=>[[1,2,3,4],[5,6,7]]=>[[1,5],[2,6],[3,7],[4]]
[2,5,8,6,1,7,3,4]=>[2,5,6,1,7,3,4]=>[[1,3,4,7],[2,5,6]]=>[[1,2],[3,5],[4,6],[7]]
[8,6,1,5,7,2,3,4]=>[6,1,5,7,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[3,8,6,5,7,1,2,4]=>[3,6,5,7,1,2,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[7,6,5,8,1,2,4,3]=>[7,6,5,1,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[5,1,7,6,8,4,2,3]=>[5,1,7,6,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[5,1,3,7,8,6,2,4]=>[5,1,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[7,2,5,8,1,6,4,3]=>[7,2,5,1,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[3,2,8,5,7,6,1,4]=>[3,2,5,7,6,1,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[8,2,1,5,7,6,3,4]=>[2,1,5,7,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[5,2,8,6,1,7,3,4]=>[5,2,6,1,7,3,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[1,2,8,6,5,7,3,4]=>[1,2,6,5,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[4,2,1,3,6,7,8,5]=>[4,2,1,3,6,7,5]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[8,2,5,6,3,7,1,4]=>[2,5,6,3,7,1,4]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[7,2,6,5,4,1,8,3]=>[7,2,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,2,5,6,7],[3,4]]
[6,1,3,5,4,7,8,2]=>[6,1,3,5,4,7,2]=>[[1,2,4,7],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7]]
[6,1,5,3,4,7,8,2]=>[6,1,5,3,4,7,2]=>[[1,2,4,7],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7]]
[7,5,6,2,4,1,8,3]=>[7,5,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[8,5,2,6,3,7,1,4]=>[5,2,6,3,7,1,4]=>[[1,3,4],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7]]
[4,3,1,2,6,7,8,5]=>[4,3,1,2,6,7,5]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[8,1,6,5,7,3,2,4]=>[1,6,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[3,5,8,6,2,7,1,4]=>[3,5,6,2,7,1,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[5,8,1,6,3,7,2,4]=>[5,1,6,3,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[1,8,5,6,3,7,2,4]=>[1,5,6,3,7,2,4]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[1,7,6,5,4,2,8,3]=>[1,7,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[5,7,6,1,4,2,8,3]=>[5,7,6,1,4,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[7,1,4,2,6,5,8,3]=>[7,1,4,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[4,1,7,3,5,6,8,2]=>[4,1,7,3,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[2,7,4,1,5,6,8,3]=>[2,7,4,1,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[5,7,6,4,1,2,8,3]=>[5,7,6,4,1,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[4,7,6,1,5,2,8,3]=>[4,7,6,1,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[1,7,6,4,5,2,8,3]=>[1,7,6,4,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[1,8,3,6,5,7,2,4]=>[1,3,6,5,7,2,4]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[3,8,1,6,5,7,2,4]=>[3,1,6,5,7,2,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[8,1,3,5,7,6,2,4]=>[1,3,5,7,6,2,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[7,8,5,4,1,6,2,3]=>[7,5,4,1,6,2,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[6,1,5,4,3,7,8,2]=>[6,1,5,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[7,5,6,4,2,1,8,3]=>[7,5,6,4,2,1,3]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]
[8,3,2,6,5,7,1,4]=>[3,2,6,5,7,1,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[7,4,6,2,5,1,8,3]=>[7,4,6,2,5,1,3]=>[[1,3],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6]]
[6,1,4,3,5,7,8,2]=>[6,1,4,3,5,7,2]=>[[1,2,5,7],[3],[4],[6]]=>[[1,3,4,6],[2],[5],[7]]
[6,1,3,4,5,7,8,2]=>[6,1,3,4,5,7,2]=>[[1,2,4,5,7],[3],[6]]=>[[1,3,6],[2],[4],[5],[7]]
[7,2,6,4,5,1,8,3]=>[7,2,6,4,5,1,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[8,2,3,6,5,7,1,4]=>[2,3,6,5,7,1,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[5,4,7,3,6,8,1,2]=>[5,4,7,3,6,1,2]=>[[1,2],[3,6],[4,7],[5]]=>[[1,3,4,5],[2,6,7]]
[3,4,7,8,5,6,1,2]=>[3,4,7,5,6,1,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[3,4,7,2,5,1,6,8]=>[3,4,7,2,5,1,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[1,4,7,2,5,8,3,6]=>[1,4,7,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[3,6,2,4,7,1,5,8]=>[3,6,2,4,7,1,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[6,8,3,4,5,7,1,2]=>[6,3,4,5,7,1,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[4,3,6,7,5,8,1,2]=>[4,3,6,7,5,1,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[6,3,7,5,8,4,1,2]=>[6,3,7,5,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[7,3,8,6,4,5,1,2]=>[7,3,6,4,5,1,2]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[3,2,7,6,5,1,4,8]=>[3,2,7,6,5,1,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[1,2,7,6,5,8,3,4]=>[1,2,7,6,5,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[4,8,2,6,1,5,3,7]=>[4,2,6,1,5,3,7]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[2,3,8,6,4,1,5,7]=>[2,3,6,4,1,5,7]=>[[1,3,4,5,7],[2],[6]]=>[[1,2,6],[3],[4],[5],[7]]
[4,3,6,2,5,1,8,7]=>[4,3,6,2,5,1,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[7,8,3,2,5,1,4,6]=>[7,3,2,5,1,4,6]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[7,8,1,2,5,6,3,4]=>[7,1,2,5,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[4,1,6,2,5,7,3,8]=>[4,1,6,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[6,1,2,5,8,7,3,4]=>[6,1,2,5,7,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[2,1,8,6,4,7,3,5]=>[2,1,6,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[7,1,3,6,8,4,2,5]=>[7,1,3,6,4,2,5]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[1,8,3,6,7,4,5,2]=>[1,3,6,7,4,5,2]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[7,1,5,8,3,6,2,4]=>[7,1,5,3,6,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[5,1,8,7,2,3,6,4]=>[5,1,7,2,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[6,1,5,7,4,2,8,3]=>[6,1,5,7,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[3,1,6,4,7,2,5,8]=>[3,1,6,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[2,4,7,5,1,8,3,6]=>[2,4,7,5,1,3,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[6,5,7,1,4,2,3,8]=>[6,5,7,1,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[5,6,8,1,3,2,4,7]=>[5,6,1,3,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[6,8,5,1,3,4,2,7]=>[6,5,1,3,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7]]
[2,8,3,4,5,1,7,6]=>[2,3,4,5,1,7,6]=>[[1,3,4,5,6],[2,7]]=>[[1,2],[3,7],[4],[5],[6]]
[6,2,4,3,1,5,7,8]=>[6,2,4,3,1,5,7]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[4,2,8,3,1,7,5,6]=>[4,2,3,1,7,5,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[1,3,7,4,8,2,5,6]=>[1,3,7,4,2,5,6]=>[[1,2,4,5,6],[3],[7]]=>[[1,3,7],[2],[4],[5],[6]]
[5,3,7,4,1,6,2,8]=>[5,3,7,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[2,4,7,3,6,1,8,5]=>[2,4,7,3,6,1,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[5,8,7,6,3,1,2,4]=>[5,7,6,3,1,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[7,5,6,8,1,4,3,2]=>[7,5,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]
[2,4,7,1,6,5,3,8]=>[2,4,7,1,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[1,2,7,8,5,4,3,6]=>[1,2,7,5,4,3,6]=>[[1,2,3,6],[4],[5],[7]]=>[[1,4,5,7],[2],[3],[6]]
[6,3,1,2,8,4,5,7]=>[6,3,1,2,4,5,7]=>[[1,2,4,5,7],[3],[6]]=>[[1,3,6],[2],[4],[5],[7]]
[4,2,1,3,6,5,8,7]=>[4,2,1,3,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,8,1,4,5,6,3,7]=>[2,1,4,5,6,3,7]=>[[1,3,5,6,7],[2,4]]=>[[1,2],[3,4],[5],[6],[7]]
[7,2,1,5,4,6,3,8]=>[7,2,1,5,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[4,2,6,1,8,5,3,7]=>[4,2,6,1,5,3,7]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[7,8,2,1,4,5,3,6]=>[7,2,1,4,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[7,8,4,1,5,3,6,2]=>[7,4,1,5,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[3,4,6,1,5,8,7,2]=>[3,4,6,1,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[7,5,1,6,4,3,8,2]=>[7,5,1,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]
[5,8,1,6,3,4,7,2]=>[5,1,6,3,4,7,2]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[6,5,1,8,2,7,4,3]=>[6,5,1,2,7,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[6,8,1,7,5,2,3,4]=>[6,1,7,5,2,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[7,6,1,8,5,3,2,4]=>[7,6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[5,6,1,7,4,8,2,3]=>[5,6,1,7,4,2,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[3,6,1,5,7,4,2,8]=>[3,6,1,5,7,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[2,5,6,1,7,4,8,3]=>[2,5,6,1,7,4,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[3,1,7,5,6,4,8,2]=>[3,1,7,5,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[5,1,7,6,4,8,3,2]=>[5,1,7,6,4,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]
[6,1,7,8,5,3,4,2]=>[6,1,7,5,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[7,1,8,6,5,4,2,3]=>[7,1,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[2,6,5,7,3,4,8,1]=>[2,6,5,7,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[1,6,4,7,5,8,2,3]=>[1,6,4,7,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[8,5,3,6,2,7,4,1]=>[5,3,6,2,7,4,1]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[1,3,7,4,6,8,2,5]=>[1,3,7,4,6,2,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[4,7,5,6,3,2,8,1]=>[4,7,5,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[1,7,6,5,4,8,2,3]=>[1,7,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[8,1,6,5,7,2,4,3]=>[1,6,5,7,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[1,2,7,6,8,3,4,5]=>[1,2,7,6,3,4,5]=>[[1,2,3,4,5],[6],[7]]=>[[1,6,7],[2],[3],[4],[5]]
[6,1,7,5,3,8,2,4]=>[6,1,7,5,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[2,1,7,5,6,8,3,4]=>[2,1,7,5,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[5,4,1,7,6,8,2,3]=>[5,4,1,7,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[4,8,5,6,2,7,3,1]=>[4,5,6,2,7,3,1]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[3,8,6,4,2,7,5,1]=>[3,6,4,2,7,5,1]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[7,8,5,2,4,6,3,1]=>[7,5,2,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7]]=>[[1,2,4,5,7],[3],[6]]
[2,8,6,3,7,4,5,1]=>[2,6,3,7,4,5,1]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[7,8,1,6,2,4,5,3]=>[7,1,6,2,4,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[6,8,1,4,7,2,5,3]=>[6,1,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[3,8,4,1,7,2,6,5]=>[3,4,1,7,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[5,4,7,1,8,3,2,6]=>[5,4,7,1,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[3,7,4,1,8,5,2,6]=>[3,7,4,1,5,2,6]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[6,7,1,4,8,3,2,5]=>[6,7,1,4,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[2,7,1,8,4,5,3,6]=>[2,7,1,4,5,3,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[6,1,2,8,4,3,5,7]=>[6,1,2,4,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[6,5,1,4,3,8,2,7]=>[6,5,1,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[1,6,2,5,8,3,4,7]=>[1,6,2,5,3,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[8,5,1,3,7,2,6,4]=>[5,1,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[8,4,2,1,7,3,6,5]=>[4,2,1,7,3,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[7,4,2,1,8,5,3,6]=>[7,4,2,1,5,3,6]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[1,5,4,2,8,3,6,7]=>[1,5,4,2,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[6,4,3,1,5,8,2,7]=>[6,4,3,1,5,2,7]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[3,7,6,8,4,5,2,1]=>[3,7,6,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[[1,2,3,6,7],[4],[5]]
[2,7,6,8,5,3,4,1]=>[2,7,6,5,3,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4]]
[1,7,6,8,5,4,2,3]=>[1,7,6,5,4,2,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[1,4,8,6,7,5,2,3]=>[1,4,6,7,5,2,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[2,4,8,6,7,3,5,1]=>[2,4,6,7,3,5,1]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[7,3,8,5,4,6,2,1]=>[7,3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7]]=>[[1,2,3,5,7],[4],[6]]
[3,4,8,5,6,7,2,1]=>[3,4,5,6,7,2,1]=>[[1,4,5,6,7],[2],[3]]=>[[1,2,3],[4],[5],[6],[7]]
[6,3,5,8,4,7,2,1]=>[6,3,5,4,7,2,1]=>[[1,4,7],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4],[7]]
[5,4,3,8,6,7,2,1]=>[5,4,3,6,7,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[5,4,2,8,7,3,6,1]=>[5,4,2,7,3,6,1]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[6,2,5,8,7,3,4,1]=>[6,2,5,7,3,4,1]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[3,2,8,5,7,4,6,1]=>[3,2,5,7,4,6,1]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[1,3,8,7,5,6,2,4]=>[1,3,7,5,6,2,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[2,1,8,7,4,6,3,5]=>[2,1,7,4,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[3,1,8,5,7,6,2,4]=>[3,1,5,7,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[6,1,5,8,7,4,2,3]=>[6,1,5,7,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[5,4,1,8,7,6,2,3]=>[5,4,1,7,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[5,8,6,7,4,3,2,1]=>[5,6,7,4,3,2,1]=>[[1,6,7],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7]]
[4,8,7,5,6,3,2,1]=>[4,7,5,6,3,2,1]=>[[1,5,6],[2],[3],[4],[7]]=>[[1,2,3,4,7],[5],[6]]
[4,2,1,6,3,5,8,7]=>[4,2,1,6,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[6,2,1,4,3,5,8,7]=>[6,2,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[6,2,1,4,3,8,5,7]=>[6,2,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[8,2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[8,2,4,1,3,6,5,7]=>[2,4,1,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[6,2,4,1,3,8,5,7]=>[6,2,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[6,2,4,1,3,5,8,7]=>[6,2,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[4,2,6,1,3,5,8,7]=>[4,2,6,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,1,6,4,3,5,8,7]=>[2,1,6,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,6,1,4,3,5,8,7]=>[2,6,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,6,4,1,3,5,8,7]=>[2,6,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[4,6,2,1,3,5,8,7]=>[4,6,2,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[6,4,2,1,3,5,8,7]=>[6,4,2,1,3,5,7]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[8,4,2,1,3,6,5,7]=>[4,2,1,3,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[8,4,2,1,6,3,5,7]=>[4,2,1,6,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[6,4,2,1,8,3,5,7]=>[6,4,2,1,3,5,7]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[4,6,2,1,8,3,5,7]=>[4,6,2,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,6,1,4,3,8,5,7]=>[2,6,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,1,6,4,3,8,5,7]=>[2,1,6,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,1,8,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,8,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,8,4,1,3,6,5,7]=>[2,4,1,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[4,8,2,1,3,6,5,7]=>[4,2,1,3,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[4,8,2,1,6,3,5,7]=>[4,2,1,6,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[6,8,2,1,4,3,5,7]=>[6,2,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[8,6,2,1,4,3,5,7]=>[6,2,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,8,1,4,6,3,5,7]=>[2,1,4,6,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,1,8,4,6,3,5,7]=>[2,1,4,6,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,1,6,4,8,3,5,7]=>[2,1,6,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,6,1,4,8,3,5,7]=>[2,6,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,6,4,1,8,3,5,7]=>[2,6,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,6,4,8,1,3,5,7]=>[2,6,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[4,6,2,8,1,3,5,7]=>[4,6,2,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[4,2,6,1,3,8,5,7]=>[4,2,6,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[4,2,6,1,8,3,5,7]=>[4,2,6,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[6,2,4,1,8,3,5,7]=>[6,2,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[8,2,4,1,6,3,5,7]=>[2,4,1,6,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[8,2,1,4,6,3,5,7]=>[2,1,4,6,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[6,2,1,4,8,3,5,7]=>[6,2,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[4,2,1,6,8,3,5,7]=>[4,2,1,6,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[4,2,1,6,3,8,5,7]=>[4,2,1,6,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[4,2,1,3,6,8,5,7]=>[4,2,1,3,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,1,4,3,8,6,5,7]=>[2,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,1,3,8,6,5,7]=>[2,4,1,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[4,2,1,3,8,6,5,7]=>[4,2,1,3,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[4,2,1,8,3,6,5,7]=>[4,2,1,3,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[4,2,1,8,6,3,5,7]=>[4,2,1,6,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[6,2,1,8,4,3,5,7]=>[6,2,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[8,2,1,6,4,3,5,7]=>[2,1,6,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[8,2,6,1,4,3,5,7]=>[2,6,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[6,2,8,1,4,3,5,7]=>[6,2,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[4,2,8,1,6,3,5,7]=>[4,2,1,6,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[4,2,8,1,3,6,5,7]=>[4,2,1,3,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,4,8,1,3,6,5,7]=>[2,4,1,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,1,8,3,6,5,7]=>[2,4,1,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,1,4,8,3,6,5,7]=>[2,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,1,4,8,6,3,5,7]=>[2,1,4,6,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,8,1,6,3,5,7]=>[2,4,1,6,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[2,4,8,6,1,3,5,7]=>[2,4,6,1,3,5,7]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[4,2,8,6,1,3,5,7]=>[4,2,6,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[6,2,8,4,1,3,5,7]=>[6,2,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[8,2,6,4,1,3,5,7]=>[2,6,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[8,4,6,2,1,3,5,7]=>[4,6,2,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[6,4,8,2,1,3,5,7]=>[6,4,2,1,3,5,7]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[4,6,8,2,1,3,5,7]=>[4,6,2,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[2,6,8,4,1,3,5,7]=>[2,6,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,6,8,1,4,3,5,7]=>[2,6,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,6,1,8,4,3,5,7]=>[2,6,1,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,1,6,8,4,3,5,7]=>[2,1,6,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,1,8,6,4,3,5,7]=>[2,1,6,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,8,1,6,4,3,5,7]=>[2,1,6,4,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,8,6,4,1,3,5,7]=>[2,6,4,1,3,5,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[4,8,6,2,1,3,5,7]=>[4,6,2,1,3,5,7]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[6,8,4,2,1,3,5,7]=>[6,4,2,1,3,5,7]=>[[1,3,5,7],[2],[4],[6]]=>[[1,2,4,6],[3],[5],[7]]
[3,2,6,1,5,4,8,7]=>[3,2,6,1,5,4,7]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[5,2,4,3,8,1,7,6]=>[5,2,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[6,2,4,1,5,3,8,7]=>[6,2,4,1,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[4,3,6,1,5,2,8,7]=>[4,3,6,1,5,2,7]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[4,3,5,2,8,1,7,6]=>[4,3,5,2,1,7,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[4,3,7,2,6,5,8,1]=>[4,3,7,2,6,5,1]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[4,3,8,2,6,1,7,5]=>[4,3,2,6,1,7,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,3,8,1,7,2,6,5]=>[4,3,1,7,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[4,3,8,1,5,2,7,6]=>[4,3,1,5,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[5,1,8,3,4,2,7,6]=>[5,1,3,4,2,7,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[5,4,8,1,3,2,7,6]=>[5,4,1,3,2,7,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[2,1,5,4,8,3,7,6]=>[2,1,5,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[5,1,7,6,8,3,4,2]=>[5,1,7,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[4,3,7,6,8,1,5,2]=>[4,3,7,6,1,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[4,3,7,1,8,5,6,2]=>[4,3,7,1,5,6,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[4,3,6,5,8,1,7,2]=>[4,3,6,5,1,7,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[6,3,5,4,7,2,8,1]=>[6,3,5,4,7,2,1]=>[[1,4,7],[2],[3],[5],[6]]=>[[1,2,3,5,6],[4],[7]]
[6,3,5,4,8,1,7,2]=>[6,3,5,4,1,7,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[7,1,6,3,8,4,5,2]=>[7,1,6,3,4,5,2]=>[[1,2,4,5],[3],[6],[7]]=>[[1,3,6,7],[2],[4],[5]]
[7,4,6,5,8,1,3,2]=>[7,4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[[1,3,4,6,7],[2,5]]
[2,1,8,4,6,3,7,5]=>[2,1,4,6,3,7,5]=>[[1,3,5,7],[2,4,6]]=>[[1,2],[3,4],[5,6],[7]]
[8,4,6,1,3,2,7,5]=>[4,6,1,3,2,7,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[8,1,6,3,4,2,7,5]=>[1,6,3,4,2,7,5]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[8,1,6,3,7,2,5,4]=>[1,6,3,7,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[8,3,5,1,7,2,6,4]=>[3,5,1,7,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[8,3,5,2,6,1,7,4]=>[3,5,2,6,1,7,4]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[7,3,5,2,6,4,8,1]=>[7,3,5,2,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[8,2,6,3,5,1,7,4]=>[2,6,3,5,1,7,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[8,2,7,1,5,3,6,4]=>[2,7,1,5,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[8,2,4,1,5,3,7,6]=>[2,4,1,5,3,7,6]=>[[1,3,5,6],[2,4,7]]=>[[1,2],[3,4],[5,7],[6]]
[8,2,4,1,7,3,6,5]=>[2,4,1,7,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[8,2,4,3,6,1,7,5]=>[2,4,3,6,1,7,5]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[3,2,8,4,6,1,7,5]=>[3,2,4,6,1,7,5]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[3,2,8,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[3,2,7,6,8,1,5,4]=>[3,2,7,6,1,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[3,2,7,1,8,5,6,4]=>[3,2,7,1,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,2,6,5,8,1,7,4]=>[3,2,6,5,1,7,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[6,5,7,2,4,3,8,1]=>[6,5,7,2,4,3,1]=>[[1,3],[2,7],[4],[5],[6]]=>[[1,2,4,5,6],[3,7]]
[6,5,8,2,4,1,7,3]=>[6,5,2,4,1,7,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[7,2,4,1,8,5,6,3]=>[7,2,4,1,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[7,6,8,2,4,1,5,3]=>[7,6,2,4,1,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[7,6,8,1,5,2,4,3]=>[7,6,1,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[2,1,7,3,8,5,6,4]=>[2,1,7,3,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[7,1,3,2,8,5,6,4]=>[7,1,3,2,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[7,1,8,5,6,2,4,3]=>[7,1,5,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[7,1,8,2,6,4,5,3]=>[7,1,2,6,4,5,3]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[7,2,8,1,5,4,6,3]=>[7,2,1,5,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[6,2,7,4,5,3,8,1]=>[6,2,7,4,5,3,1]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[5,4,7,2,6,3,8,1]=>[5,4,7,2,6,3,1]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[5,4,8,2,6,1,7,3]=>[5,4,2,6,1,7,3]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[6,5,8,1,7,2,4,3]=>[6,5,1,7,2,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[2,1,6,5,8,3,7,4]=>[2,1,6,5,3,7,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[6,5,7,4,8,1,3,2]=>[6,5,7,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6]]=>[[1,3,4,5,6],[2,7]]
[6,5,7,1,8,3,4,2]=>[6,5,7,1,3,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[6,1,7,4,8,3,5,2]=>[6,1,7,4,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[5,4,7,1,8,3,6,2]=>[5,4,7,1,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[5,4,6,3,8,1,7,2]=>[5,4,6,3,1,7,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[2,8,3,1,5,4,6,7]=>[2,3,1,5,4,6,7]=>[[1,3,4,6,7],[2,5]]=>[[1,2],[3,5],[4],[6],[7]]
[2,5,3,4,7,1,8,6]=>[2,5,3,4,7,1,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[2,4,8,3,5,7,6,1]=>[2,4,3,5,7,6,1]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[4,2,5,3,1,8,6,7]=>[4,2,5,3,1,6,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[4,2,1,8,5,3,6,7]=>[4,2,1,5,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7]]
[5,4,1,3,8,2,6,7]=>[5,4,1,3,2,6,7]=>[[1,2,6,7],[3],[4],[5]]=>[[1,3,4,5],[2],[6],[7]]
[5,1,4,8,3,2,6,7]=>[5,1,4,3,2,6,7]=>[[1,2,6,7],[3],[4],[5]]=>[[1,3,4,5],[2],[6],[7]]
[1,5,8,4,3,2,6,7]=>[1,5,4,3,2,6,7]=>[[1,2,6,7],[3],[4],[5]]=>[[1,3,4,5],[2],[6],[7]]
[1,8,5,4,3,2,6,7]=>[1,5,4,3,2,6,7]=>[[1,2,6,7],[3],[4],[5]]=>[[1,3,4,5],[2],[6],[7]]
[1,7,4,3,8,5,2,6]=>[1,7,4,3,5,2,6]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[1,5,7,3,8,4,2,6]=>[1,5,7,3,4,2,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[5,1,4,7,8,3,2,6]=>[5,1,4,7,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[4,8,1,5,7,3,6,2]=>[4,1,5,7,3,6,2]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[8,1,5,3,7,4,6,2]=>[1,5,3,7,4,6,2]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[3,8,4,7,6,5,2,1]=>[3,4,7,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>[[1,2,3,6,7],[4],[5]]
[1,6,8,5,3,7,4,2]=>[1,6,5,3,7,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[6,8,1,7,4,3,5,2]=>[6,1,7,4,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[6,4,8,1,7,3,5,2]=>[6,4,1,7,3,5,2]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[6,4,8,7,1,5,2,3]=>[6,4,7,1,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[7,6,4,1,3,8,2,5]=>[7,6,4,1,3,2,5]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[1,7,5,6,3,2,8,4]=>[1,7,5,6,3,2,4]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[4,2,1,7,8,5,3,6]=>[4,2,1,7,5,3,6]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[2,7,4,6,3,1,8,5]=>[2,7,4,6,3,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[2,6,8,4,3,7,5,1]=>[2,6,4,3,7,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[6,2,4,8,3,7,5,1]=>[6,2,4,3,7,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[7,2,6,3,4,1,8,5]=>[7,2,6,3,4,1,5]=>[[1,3,4,5],[2],[6],[7]]=>[[1,2,6,7],[3],[4],[5]]
[2,6,7,3,1,4,8,5]=>[2,6,7,3,1,4,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[2,7,1,8,3,5,4,6]=>[2,7,1,3,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[2,1,7,3,5,8,4,6]=>[2,1,7,3,5,4,6]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[8,7,1,3,6,2,4,5]=>[7,1,3,6,2,4,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[8,2,1,7,3,5,6,4]=>[2,1,7,3,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[7,8,2,6,3,1,5,4]=>[7,2,6,3,1,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[8,7,2,6,3,5,4,1]=>[7,2,6,3,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4]]
[1,2,8,7,4,5,6,3]=>[1,2,7,4,5,6,3]=>[[1,2,3,5,6],[4],[7]]=>[[1,4,7],[2],[3],[5],[6]]
[8,3,7,1,5,6,2,4]=>[3,7,1,5,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[8,6,1,2,7,5,3,4]=>[6,1,2,7,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[8,1,6,2,7,4,5,3]=>[1,6,2,7,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[1,8,5,2,6,7,4,3]=>[1,5,2,6,7,4,3]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[5,2,1,8,6,7,4,3]=>[5,2,1,6,7,4,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[2,8,5,7,6,4,3,1]=>[2,5,7,6,4,3,1]=>[[1,3,6],[2],[4],[5],[7]]=>[[1,2,4,5,7],[3],[6]]
[1,7,8,5,2,6,4,3]=>[1,7,5,2,6,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[7,8,1,6,4,2,5,3]=>[7,1,6,4,2,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[7,8,6,1,5,3,2,4]=>[7,6,1,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[7,3,8,6,1,5,2,4]=>[7,3,6,1,5,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[8,7,6,1,5,3,4,2]=>[7,6,1,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[8,7,1,6,4,5,3,2]=>[7,1,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>[[1,3,4,6,7],[2],[5]]
[8,1,7,5,6,4,3,2]=>[1,7,5,6,4,3,2]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[1,8,6,7,5,4,3,2]=>[1,6,7,5,4,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[6,3,5,2,1,4,8,7]=>[6,3,5,2,1,4,7]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[6,3,5,7,2,8,4,1]=>[6,3,5,7,2,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[8,5,2,7,4,3,1,6]=>[5,2,7,4,3,1,6]=>[[1,3,6],[2,7],[4],[5]]=>[[1,2,4,5],[3,7],[6]]
[4,5,3,6,1,2,8,7]=>[4,5,3,6,1,2,7]=>[[1,2,6,7],[3,5],[4]]=>[[1,3,4],[2,5],[6],[7]]
[3,5,1,4,6,2,8,7]=>[3,5,1,4,6,2,7]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[8,3,4,5,7,2,1,6]=>[3,4,5,7,2,1,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[5,7,4,6,3,8,2,1]=>[5,7,4,6,3,2,1]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[2,8,4,6,3,7,1,5]=>[2,4,6,3,7,1,5]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[8,1,4,7,3,6,2,5]=>[1,4,7,3,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[8,3,4,7,5,1,2,6]=>[3,4,7,5,1,2,6]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[8,5,1,4,7,3,2,6]=>[5,1,4,7,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[8,5,3,7,1,4,2,6]=>[5,3,7,1,4,2,6]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[2,1,8,5,7,4,3,6]=>[2,1,5,7,4,3,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[6,5,3,7,1,8,4,2]=>[6,5,3,7,1,4,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[6,5,1,4,7,8,3,2]=>[6,5,1,4,7,3,2]=>[[1,2,7],[3],[4],[5],[6]]=>[[1,3,4,5,6],[2],[7]]
[6,3,4,7,5,8,1,2]=>[6,3,4,7,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[5,1,4,6,8,3,7,2]=>[5,1,4,6,3,7,2]=>[[1,2,6,7],[3],[4],[5]]=>[[1,3,4,5],[2],[6],[7]]
[4,7,1,3,5,8,6,2]=>[4,7,1,3,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[4,8,3,7,1,2,6,5]=>[4,3,7,1,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[3,8,6,4,1,7,2,5]=>[3,6,4,1,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[3,8,1,2,5,7,6,4]=>[3,1,2,5,7,6,4]=>[[1,2,4,6],[3,5],[7]]=>[[1,3,7],[2,5],[4],[6]]
[2,8,7,5,4,1,3,6]=>[2,7,5,4,1,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[8,7,2,6,4,1,3,5]=>[7,2,6,4,1,3,5]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[3,8,6,7,4,2,1,5]=>[3,6,7,4,2,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[5,7,6,8,4,2,3,1]=>[5,7,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]
[5,3,7,8,2,4,6,1]=>[5,3,7,2,4,6,1]=>[[1,4,6],[2,7],[3],[5]]=>[[1,2,3,5],[4,7],[6]]
[8,3,6,2,1,4,7,5]=>[3,6,2,1,4,7,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[5,3,7,6,2,1,8,4]=>[5,3,7,6,2,1,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[5,3,6,2,8,7,1,4]=>[5,3,6,2,7,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,7,8,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]
[2,6,7,5,4,8,1,3]=>[2,6,7,5,4,1,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[6,1,7,4,5,8,2,3]=>[6,1,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>[[1,4,6],[2,5,7],[3]]
[6,7,3,5,1,8,2,4]=>[6,7,3,5,1,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[2,1,6,7,5,8,3,4]=>[2,1,6,7,5,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[2,1,5,7,3,6,8,4]=>[2,1,5,7,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[5,7,3,6,1,2,8,4]=>[5,7,3,6,1,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[4,1,7,2,5,6,8,3]=>[4,1,7,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[2,4,7,1,6,5,8,3]=>[2,4,7,1,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[4,6,2,1,8,7,5,3]=>[4,6,2,1,7,5,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[3,4,6,2,7,8,5,1]=>[3,4,6,2,7,5,1]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[4,6,1,2,5,8,7,3]=>[4,6,1,2,5,7,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[5,6,1,4,8,2,7,3]=>[5,6,1,4,2,7,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[5,6,3,1,8,7,2,4]=>[5,6,3,1,7,2,4]=>[[1,2,4],[3,6,7],[5]]=>[[1,3,5],[2,6],[4,7]]
[3,5,6,4,7,1,8,2]=>[3,5,6,4,7,1,2]=>[[1,2,6,7],[3,4],[5]]=>[[1,3,5],[2,4],[6],[7]]
[3,4,6,1,5,7,8,2]=>[3,4,6,1,5,7,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[3,4,1,5,7,6,8,2]=>[3,4,1,5,7,6,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[3,8,2,7,1,6,5,4]=>[3,2,7,1,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[3,8,2,7,6,1,5,4]=>[3,2,7,6,1,5,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[3,8,2,7,6,5,1,4]=>[3,2,7,6,5,1,4]=>[[1,4],[2,5],[3,6],[7]]=>[[1,2,3,7],[4,5,6]]
[3,8,2,7,6,5,4,1]=>[3,2,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[[1,2,3,6,7],[4,5]]
[4,8,7,2,6,5,3,1]=>[4,7,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[[1,2,4,6,7],[3,5]]
[4,8,7,2,6,5,1,3]=>[4,7,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6]]
[4,8,7,2,6,1,5,3]=>[4,7,2,6,1,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6]]
[4,8,7,2,1,6,5,3]=>[4,7,2,1,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>[[1,2,4,7],[3,5,6]]
[4,8,7,3,1,6,5,2]=>[4,7,3,1,6,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[4,8,7,3,2,1,6,5]=>[4,7,3,2,1,6,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[4,8,7,3,2,6,1,5]=>[4,7,3,2,6,1,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[4,8,7,3,2,6,5,1]=>[4,7,3,2,6,5,1]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[4,8,7,3,6,2,5,1]=>[4,7,3,6,2,5,1]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[4,8,7,3,6,2,1,5]=>[4,7,3,6,2,1,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[4,8,7,3,6,1,5,2]=>[4,7,3,6,1,5,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[4,8,7,3,6,5,1,2]=>[4,7,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[4,8,7,3,6,5,2,1]=>[4,7,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7]]=>[[1,2,3,4,7],[5,6]]
[5,8,7,6,3,4,2,1]=>[5,7,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[5,8,7,6,3,1,4,2]=>[5,7,6,3,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]
[5,8,7,6,3,2,4,1]=>[5,7,6,3,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[5,8,7,6,2,4,3,1]=>[5,7,6,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]
[5,8,7,6,2,1,4,3]=>[5,7,6,2,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>[[1,2,5,7],[3,4,6]]
[5,8,7,6,4,2,3,1]=>[5,7,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]
[5,8,7,6,4,2,1,3]=>[5,7,6,4,2,1,3]=>[[1,3],[2,6],[4],[5],[7]]=>[[1,2,4,5,7],[3,6]]
[5,8,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]
[5,8,7,6,4,3,1,2]=>[5,7,6,4,3,1,2]=>[[1,2],[3,6],[4],[5],[7]]=>[[1,3,4,5,7],[2,6]]
[7,3,4,2,1,6,5,8]=>[7,3,4,2,1,6,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[7,3,5,2,6,1,4,8]=>[7,3,5,2,6,1,4]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[7,3,5,2,6,4,1,8]=>[7,3,5,2,6,4,1]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[6,3,5,2,7,4,8,1]=>[6,3,5,2,7,4,1]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[7,2,1,5,6,4,3,8]=>[7,2,1,5,6,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[7,3,5,1,6,4,2,8]=>[7,3,5,1,6,4,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[7,4,5,6,1,3,2,8]=>[7,4,5,6,1,3,2]=>[[1,2,6],[3,5],[4],[7]]=>[[1,3,4,7],[2,5],[6]]
[1,4,5,7,3,2,8,6]=>[1,4,5,7,3,2,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[1,4,6,7,3,8,2,5]=>[1,4,6,7,3,2,5]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[6,4,5,7,3,1,8,2]=>[6,4,5,7,3,1,2]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[6,4,5,7,1,3,8,2]=>[6,4,5,7,1,3,2]=>[[1,2,7],[3,5],[4],[6]]=>[[1,3,4,6],[2,5],[7]]
[6,3,5,1,7,4,8,2]=>[6,3,5,1,7,4,2]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[6,2,1,5,7,4,8,3]=>[6,2,1,5,7,4,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[3,2,1,5,7,4,8,6]=>[3,2,1,5,7,4,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[2,4,6,7,3,8,1,5]=>[2,4,6,7,3,1,5]=>[[1,3,5,7],[2,6],[4]]=>[[1,2,4],[3,6],[5],[7]]
[1,4,6,7,3,8,5,2]=>[1,4,6,7,3,5,2]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[1,5,6,7,8,3,4,2]=>[1,5,6,7,3,4,2]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[2,5,6,7,8,3,1,4]=>[2,5,6,7,3,1,4]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[3,2,1,6,7,8,4,5]=>[3,2,1,6,7,4,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[5,2,1,6,7,8,4,3]=>[5,2,1,6,7,4,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[5,3,6,1,7,8,4,2]=>[5,3,6,1,7,4,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[5,4,6,7,1,8,3,2]=>[5,4,6,7,1,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[1,5,6,7,8,3,2,4]=>[1,5,6,7,3,2,4]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[6,4,5,7,2,1,8,3]=>[6,4,5,7,2,1,3]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[5,4,6,7,2,8,3,1]=>[5,4,6,7,2,3,1]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,3,6,2,7,8,4,1]=>[5,3,6,2,7,4,1]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[5,3,6,2,7,8,1,4]=>[5,3,6,2,7,1,4]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[6,3,5,2,7,1,8,4]=>[6,3,5,2,7,1,4]=>[[1,4,7],[2,5],[3],[6]]=>[[1,2,3,6],[4,5],[7]]
[6,3,4,2,1,7,8,5]=>[6,3,4,2,1,7,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[5,3,4,1,2,7,8,6]=>[5,3,4,1,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[4,3,6,2,7,8,1,5]=>[4,3,6,2,7,1,5]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[4,3,6,2,7,8,5,1]=>[4,3,6,2,7,5,1]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[1,3,6,2,7,8,5,4]=>[1,3,6,2,7,5,4]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[1,4,6,7,2,8,5,3]=>[1,4,6,7,2,5,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[3,4,6,7,2,8,5,1]=>[3,4,6,7,2,5,1]=>[[1,4,5,7],[2,6],[3]]=>[[1,2,3],[4,6],[5],[7]]
[3,4,5,7,2,1,8,6]=>[3,4,5,7,2,1,6]=>[[1,4,5,6],[2,7],[3]]=>[[1,2,3],[4,7],[5],[6]]
[4,2,1,5,7,3,8,6]=>[4,2,1,5,7,3,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[4,2,1,6,7,8,3,5]=>[4,2,1,6,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[4,3,6,1,7,8,2,5]=>[4,3,6,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>[[1,3,4],[2,6],[5,7]]
[1,5,6,7,8,2,4,3]=>[1,5,6,7,2,4,3]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[1,5,6,7,8,4,2,3]=>[1,5,6,7,4,2,3]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[3,4,6,7,1,8,5,2]=>[3,4,6,7,1,5,2]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[4,3,6,1,7,8,5,2]=>[4,3,6,1,7,5,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[4,2,1,6,7,8,5,3]=>[4,2,1,6,7,5,3]=>[[1,3,7],[2,5],[4,6]]=>[[1,2,4],[3,5,6],[7]]
[2,3,6,1,7,8,5,4]=>[2,3,6,1,7,5,4]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[2,4,6,7,1,8,5,3]=>[2,4,6,7,1,5,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[2,5,6,7,8,1,4,3]=>[2,5,6,7,1,4,3]=>[[1,3,6,7],[2,4],[5]]=>[[1,2,5],[3,4],[6],[7]]
[2,1,4,3,6,5,8,7,9]=>[2,1,4,3,6,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>[[1,2],[3,4],[5,6],[7,8]]
[2,4,1,3,6,5,8,7,9]=>[2,4,1,3,6,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>[[1,2],[3,4],[5,6],[7,8]]
[2,4,1,6,3,5,8,7,9]=>[2,4,1,6,3,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>[[1,2],[3,4],[5,6],[7,8]]
[2,4,1,6,3,8,5,7,9]=>[2,4,1,6,3,8,5,7]=>[[1,3,5,7],[2,4,6,8]]=>[[1,2],[3,4],[5,6],[7,8]]
[2,4,1,6,3,7,5,9,8]=>[2,4,1,6,3,7,5,8]=>[[1,3,5,7,8],[2,4,6]]=>[[1,2],[3,4],[5,6],[7],[8]]
[2,4,1,5,3,7,6,9,8]=>[2,4,1,5,3,7,6,8]=>[[1,3,5,6,8],[2,4,7]]=>[[1,2],[3,4],[5,7],[6],[8]]
[2,3,1,5,4,7,6,9,8]=>[2,3,1,5,4,7,6,8]=>[[1,3,4,6,8],[2,5,7]]=>[[1,2],[3,5],[4,7],[6],[8]]
[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>[[1,3],[2,5],[4,7],[6],[8]]
[2,4,1,3,6,5,8,7,10,9]=>[2,4,1,3,6,5,8,7,9]=>[[1,3,5,7,9],[2,4,6,8]]=>[[1,2],[3,4],[5,6],[7,8],[9]]
[2,4,6,1,3,5,8,7,9]=>[2,4,6,1,3,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>[[1,2],[3,4],[5,6],[7,8]]
[2,4,1,6,3,5,8,7,10,9]=>[2,4,1,6,3,5,8,7,9]=>[[1,3,5,7,9],[2,4,6,8]]=>[[1,2],[3,4],[5,6],[7,8],[9]]
[2,4,1,6,8,3,5,7,9]=>[2,4,1,6,8,3,5,7]=>[[1,3,5,7],[2,4,6,8]]=>[[1,2],[3,4],[5,6],[7,8]]
[2,4,1,6,3,8,5,7,10,9]=>[2,4,1,6,3,8,5,7,9]=>[[1,3,5,7,9],[2,4,6,8]]=>[[1,2],[3,4],[5,6],[7,8],[9]]
[2,4,1,6,3,8,9,5,7]=>[2,4,1,6,3,8,5,7]=>[[1,3,5,7],[2,4,6,8]]=>[[1,2],[3,4],[5,6],[7,8]]
[2,4,1,6,3,8,5,10,7,9]=>[2,4,1,6,3,8,5,7,9]=>[[1,3,5,7,9],[2,4,6,8]]=>[[1,2],[3,4],[5,6],[7,8],[9]]
[2,4,1,6,3,7,5,8,9]=>[2,4,1,6,3,7,5,8]=>[[1,3,5,7,8],[2,4,6]]=>[[1,2],[3,4],[5,6],[7],[8]]
[2,4,1,6,3,8,5,9,7,10]=>[2,4,1,6,3,8,5,9,7]=>[[1,3,5,7,9],[2,4,6,8]]=>[[1,2],[3,4],[5,6],[7,8],[9]]
[2,4,1,5,3,8,6,9,7]=>[2,4,1,5,3,8,6,7]=>[[1,3,5,6,7],[2,4,8]]=>[[1,2],[3,4],[5,8],[6],[7]]
[2,4,1,6,3,7,5,9,8,10]=>[2,4,1,6,3,7,5,9,8]=>[[1,3,5,7,8],[2,4,6,9]]=>[[1,2],[3,4],[5,6],[7,9],[8]]
[2,3,1,6,4,7,5,9,8]=>[2,3,1,6,4,7,5,8]=>[[1,3,4,5,8],[2,6,7]]=>[[1,2],[3,6],[4,7],[5],[8]]
[2,4,1,5,3,7,6,9,8,10]=>[2,4,1,5,3,7,6,9,8]=>[[1,3,5,6,8],[2,4,7,9]]=>[[1,2],[3,4],[5,7],[6,9],[8]]
[1,4,2,5,3,7,6,9,8]=>[1,4,2,5,3,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>[[1,4],[2,5],[3,7],[6],[8]]
[2,3,1,5,4,7,6,9,8,10]=>[2,3,1,5,4,7,6,9,8]=>[[1,3,4,6,8],[2,5,7,9]]=>[[1,2],[3,5],[4,7],[6,9],[8]]
[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>[[1,3],[2,5],[4,7],[6,9],[8]]
[7,1,2,3,4,5,6,8,9]=>[7,1,2,3,4,5,6,8]=>[[1,2,3,4,5,6,8],[7]]=>[[1,7],[2],[3],[4],[5],[6],[8]]
[1,4,3,6,2,5,7,8]=>[1,4,3,6,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[1,4,3,7,2,5,6,8]=>[1,4,3,7,2,5,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[1,4,3,7,6,8,2,5]=>[1,4,3,7,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[1,4,3,7,5,8,2,6]=>[1,4,3,7,5,2,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[1,4,3,7,2,6,5,8]=>[1,4,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[1,5,3,7,4,8,2,6]=>[1,5,3,7,4,2,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[1,3,2,6,5,8,4,7]=>[1,3,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[1,5,4,8,2,6,3,7]=>[1,5,4,2,6,3,7]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[1,5,4,8,3,7,2,6]=>[1,5,4,3,7,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[1,2,3,6,5,8,4,7]=>[1,2,3,6,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[6,8,2,4,5,7,1,3]=>[6,2,4,5,7,1,3]=>[[1,3,5,7],[2,4],[6]]=>[[1,2,6],[3,4],[5],[7]]
[3,7,8,4,5,2,6,1]=>[3,7,4,5,2,6,1]=>[[1,4,5,6],[2],[3],[7]]=>[[1,2,3,7],[4],[5],[6]]
[7,8,1,4,5,3,6,2]=>[7,1,4,5,3,6,2]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[3,8,7,4,1,6,5,2]=>[3,7,4,1,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[4,8,3,6,1,5,7,2]=>[4,3,6,1,5,7,2]=>[[1,2,7],[3,5],[4,6]]=>[[1,3,4],[2,5,6],[7]]
[5,8,3,1,6,4,7,2]=>[5,3,1,6,4,7,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[5,8,1,4,7,6,3,2]=>[5,1,4,7,6,3,2]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[7,5,1,8,6,2,4,3]=>[7,5,1,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[7,4,1,8,2,6,3,5]=>[7,4,1,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[7,1,8,4,2,6,3,5]=>[7,1,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[1,6,3,8,5,2,4,7]=>[1,6,3,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[6,1,3,8,5,2,4,7]=>[6,1,3,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[7,1,8,3,6,2,5,4]=>[7,1,3,6,2,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[7,3,1,8,4,2,6,5]=>[7,3,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[7,2,8,4,1,6,5,3]=>[7,2,4,1,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[7,2,8,3,6,5,1,4]=>[7,2,3,6,5,1,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[7,2,8,3,6,1,5,4]=>[7,2,3,6,1,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[7,1,8,2,3,6,5,4]=>[7,1,2,3,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[6,1,2,8,3,5,4,7]=>[6,1,2,3,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[1,5,2,3,8,4,7,6]=>[1,5,2,3,4,7,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[5,1,2,3,8,4,7,6]=>[5,1,2,3,4,7,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[5,2,3,8,1,4,7,6]=>[5,2,3,1,4,7,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[6,2,8,1,3,5,4,7]=>[6,2,1,3,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[6,2,4,1,8,7,3,5]=>[6,2,4,1,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>[[1,2,6],[3,4],[5,7]]
[6,3,1,4,2,8,5,7]=>[6,3,1,4,2,5,7]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[3,1,6,4,2,8,5,7]=>[3,1,6,4,2,5,7]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[2,6,3,8,7,1,5,4]=>[2,6,3,7,1,5,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[2,6,3,8,5,1,4,7]=>[2,6,3,5,1,4,7]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[2,5,1,8,3,4,7,6]=>[2,5,1,3,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[2,5,1,3,8,4,7,6]=>[2,5,1,3,4,7,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[1,2,5,3,8,4,7,6]=>[1,2,5,3,4,7,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[1,2,4,8,3,7,6,5]=>[1,2,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[2,4,8,1,3,7,6,5]=>[2,4,1,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[2,4,8,3,7,1,6,5]=>[2,4,3,7,1,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[2,4,8,3,7,6,1,5]=>[2,4,3,7,6,1,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[2,5,3,8,1,7,4,6]=>[2,5,3,1,7,4,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[2,5,4,1,3,8,7,6]=>[2,5,4,1,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>[[1,2,5],[3,4],[6,7]]
[3,1,5,4,8,2,7,6]=>[3,1,5,4,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[5,3,1,4,8,2,7,6]=>[5,3,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[5,2,3,8,4,7,1,6]=>[5,2,3,4,7,1,6]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[4,8,2,3,7,6,1,5]=>[4,2,3,7,6,1,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[4,8,2,3,7,1,6,5]=>[4,2,3,7,1,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[4,8,1,2,3,7,6,5]=>[4,1,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[1,4,8,2,3,7,6,5]=>[1,4,2,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[1,4,8,3,7,2,6,5]=>[1,4,3,7,2,6,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[6,3,8,1,5,2,4,7]=>[6,3,1,5,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[5,3,8,1,2,4,7,6]=>[5,3,1,2,4,7,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[5,1,3,8,2,4,7,6]=>[5,1,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[1,5,3,8,2,4,7,6]=>[1,5,3,2,4,7,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[1,5,4,8,2,7,6,3]=>[1,5,4,2,7,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[5,1,4,8,2,7,6,3]=>[5,1,4,2,7,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[5,4,8,1,2,7,6,3]=>[5,4,1,2,7,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[6,5,1,2,8,7,4,3]=>[6,5,1,2,7,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[5,3,1,6,4,2,8,7]=>[5,3,1,6,4,2,7]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[5,1,6,2,8,7,4,3]=>[5,1,6,2,7,4,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[4,1,5,8,2,7,6,3]=>[4,1,5,2,7,6,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[4,1,2,5,8,7,6,3]=>[4,1,2,5,7,6,3]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[1,4,2,5,8,7,6,3]=>[1,4,2,5,7,6,3]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[1,3,5,2,8,7,4,6]=>[1,3,5,2,7,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[3,5,1,2,8,7,4,6]=>[3,5,1,2,7,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[3,6,2,8,7,5,1,4]=>[3,6,2,7,5,1,4]=>[[1,4,7],[2,5],[3,6]]=>[[1,2,3],[4,5,6],[7]]
[4,2,6,1,8,7,3,5]=>[4,2,6,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>[[1,2,4],[3,6],[5,7]]
[4,3,1,5,8,2,7,6]=>[4,3,1,5,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[3,5,2,8,7,1,4,6]=>[3,5,2,7,1,4,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[3,4,8,7,2,6,1,5]=>[3,4,7,2,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,4,8,7,1,2,6,5]=>[3,4,7,1,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[3,4,8,1,7,2,6,5]=>[3,4,1,7,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[1,3,4,8,7,2,6,5]=>[1,3,4,7,2,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[1,3,4,8,2,7,6,5]=>[1,3,4,2,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[3,4,8,1,2,7,6,5]=>[3,4,1,2,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[3,4,8,2,7,1,6,5]=>[3,4,2,7,1,6,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[3,4,8,2,7,6,1,5]=>[3,4,2,7,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[4,2,5,8,1,7,6,3]=>[4,2,5,1,7,6,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[4,3,1,2,5,8,7,6]=>[4,3,1,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>[[1,3,4],[2,7],[5],[6]]
[3,1,4,2,5,8,7,6]=>[3,1,4,2,5,7,6]=>[[1,2,5,6],[3,4,7]]=>[[1,3],[2,4],[5,7],[6]]
[2,3,5,1,8,7,6,4]=>[2,3,5,1,7,6,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[7,8,2,1,5,3,6,4]=>[7,2,1,5,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[6,4,1,2,7,3,5,8]=>[6,4,1,2,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[2,3,7,5,4,1,8,6]=>[2,3,7,5,4,1,6]=>[[1,3,4,6],[2],[5],[7]]=>[[1,2,5,7],[3],[4],[6]]
[6,3,1,5,4,2,7,8]=>[6,3,1,5,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[7,8,1,5,4,2,6,3]=>[7,1,5,4,2,6,3]=>[[1,2,3],[4,6],[5],[7]]=>[[1,4,5,7],[2,6],[3]]
[7,8,3,5,4,1,6,2]=>[7,3,5,4,1,6,2]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[7,8,2,5,4,1,3,6]=>[7,2,5,4,1,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[7,8,2,5,4,6,1,3]=>[7,2,5,4,6,1,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[6,2,1,5,4,7,3,8]=>[6,2,1,5,4,7,3]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[5,3,6,1,4,7,8,2]=>[5,3,6,1,4,7,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[5,3,6,2,4,7,1,8]=>[5,3,6,2,4,7,1]=>[[1,4,7],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7]]
[6,4,2,1,7,3,8,5]=>[6,4,2,1,7,3,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[4,3,7,5,8,6,1,2]=>[4,3,7,5,6,1,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[4,2,7,1,8,3,6,5]=>[4,2,7,1,3,6,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[3,2,6,7,4,8,1,5]=>[3,2,6,7,4,1,5]=>[[1,4,5],[2,6,7],[3]]=>[[1,2,3],[4,6],[5,7]]
[3,1,6,7,4,8,5,2]=>[3,1,6,7,4,5,2]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[1,7,6,5,3,8,4,2]=>[1,7,6,5,3,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[2,7,6,5,3,8,1,4]=>[2,7,6,5,3,1,4]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4]]
[1,7,6,5,2,4,8,3]=>[1,7,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[2,7,6,5,3,1,4,8]=>[2,7,6,5,3,1,4]=>[[1,3,4],[2],[5],[6],[7]]=>[[1,2,5,6,7],[3],[4]]
[2,7,1,4,8,3,5,6]=>[2,7,1,4,3,5,6]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[3,7,6,4,8,5,1,2]=>[3,7,6,4,5,1,2]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[5,7,6,3,8,4,1,2]=>[5,7,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]
[5,1,6,2,4,8,3,7]=>[5,1,6,2,4,3,7]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[4,7,6,5,2,1,3,8]=>[4,7,6,5,2,1,3]=>[[1,3],[2,5],[4],[6],[7]]=>[[1,2,4,6,7],[3,5]]
[4,7,6,5,2,8,1,3]=>[4,7,6,5,2,1,3]=>[[1,3],[2,5],[4],[6],[7]]=>[[1,2,4,6,7],[3,5]]
[4,7,6,5,1,8,3,2]=>[4,7,6,5,1,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[[1,3,4,6,7],[2,5]]
[1,7,6,5,2,8,3,4]=>[1,7,6,5,2,3,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[1,7,6,5,3,2,8,4]=>[1,7,6,5,3,2,4]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[4,7,6,5,1,2,8,3]=>[4,7,6,5,1,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[4,7,6,5,3,1,8,2]=>[4,7,6,5,3,1,2]=>[[1,2],[3,5],[4],[6],[7]]=>[[1,3,4,6,7],[2,5]]
[6,1,3,5,4,8,7,2]=>[6,1,3,5,4,7,2]=>[[1,2,4,7],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7]]
[5,2,6,3,4,1,7,8]=>[5,2,6,3,4,1,7]=>[[1,3,4,7],[2,6],[5]]=>[[1,2,5],[3,6],[4],[7]]
[5,1,6,2,4,7,8,3]=>[5,1,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[1,2,6,3,4,8,7,5]=>[1,2,6,3,4,7,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[1,7,2,4,8,3,6,5]=>[1,7,2,4,3,6,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[6,1,4,2,8,3,5,7]=>[6,1,4,2,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[4,1,8,2,6,3,5,7]=>[4,1,2,6,3,5,7]=>[[1,2,3,5,7],[4,6]]=>[[1,4],[2,6],[3],[5],[7]]
[4,7,2,1,5,3,6,8]=>[4,7,2,1,5,3,6]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[4,7,1,6,2,3,8,5]=>[4,7,1,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[1,7,2,6,8,3,5,4]=>[1,7,2,6,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[1,2,6,7,4,8,5,3]=>[1,2,6,7,4,5,3]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[3,1,6,7,4,2,8,5]=>[3,1,6,7,4,2,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[3,2,8,5,4,6,1,7]=>[3,2,5,4,6,1,7]=>[[1,4,6,7],[2,5],[3]]=>[[1,2,3],[4,5],[6],[7]]
[4,7,6,3,5,8,1,2]=>[4,7,6,3,5,1,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[4,7,1,2,5,3,8,6]=>[4,7,1,2,5,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[3,7,6,5,2,4,1,8]=>[3,7,6,5,2,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>[[1,2,3,6,7],[4,5]]
[3,7,6,5,1,4,8,2]=>[3,7,6,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4]]
[3,7,6,5,2,1,8,4]=>[3,7,6,5,2,1,4]=>[[1,4],[2,5],[3],[6],[7]]=>[[1,2,3,6,7],[4,5]]
[1,7,6,5,8,2,4,3]=>[1,7,6,5,2,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>[[1,4,5,6,7],[2],[3]]
[3,7,6,5,8,1,4,2]=>[3,7,6,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4]]
[3,7,6,5,1,2,4,8]=>[3,7,6,5,1,2,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[3,1,6,8,4,2,5,7]=>[3,1,6,4,2,5,7]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[4,7,6,8,3,5,1,2]=>[4,7,6,3,5,1,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[2,7,6,5,1,4,3,8]=>[2,7,6,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,2,5,6,7],[3,4]]
[2,7,6,5,8,1,3,4]=>[2,7,6,5,1,3,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[2,7,6,5,8,4,1,3]=>[2,7,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,2,5,6,7],[3,4]]
[6,3,2,1,7,4,8,5]=>[6,3,2,1,7,4,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[4,2,1,7,3,5,8,6]=>[4,2,1,7,3,5,6]=>[[1,3,5,6],[2,7],[4]]=>[[1,2,4],[3,7],[5],[6]]
[7,3,1,5,4,2,8,6]=>[7,3,1,5,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[8,4,1,5,2,7,6,3]=>[4,1,5,2,7,6,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[8,2,5,1,3,7,6,4]=>[2,5,1,3,7,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[4,3,7,2,1,5,8,6]=>[4,3,7,2,1,5,6]=>[[1,5,6],[2,7],[3],[4]]=>[[1,2,3,4],[5,7],[6]]
[6,3,7,4,2,1,8,5]=>[6,3,7,4,2,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[4,7,2,5,3,1,8,6]=>[4,7,2,5,3,1,6]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[2,7,5,4,1,3,8,6]=>[2,7,5,4,1,3,6]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[7,5,4,3,2,1,8,6]=>[7,5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6]]
[8,5,3,2,1,7,6,4]=>[5,3,2,1,7,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[6,5,2,1,8,4,3,7]=>[6,5,2,1,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[4,6,3,2,8,1,5,7]=>[4,6,3,2,1,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[5,7,4,3,2,8,1,6]=>[5,7,4,3,2,1,6]=>[[1,6],[2,7],[3],[4],[5]]=>[[1,2,3,4,5],[6,7]]
[1,7,6,2,4,8,3,5]=>[1,7,6,2,4,3,5]=>[[1,2,3,5],[4],[6],[7]]=>[[1,4,6,7],[2],[3],[5]]
[2,7,3,6,4,8,1,5]=>[2,7,3,6,4,1,5]=>[[1,3,4,5],[2],[6],[7]]=>[[1,2,6,7],[3],[4],[5]]
[6,2,7,5,3,8,1,4]=>[6,2,7,5,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[7,1,8,5,3,6,4,2]=>[7,1,5,3,6,4,2]=>[[1,2,4],[3,6],[5],[7]]=>[[1,3,5,7],[2,6],[4]]
[5,8,1,6,2,7,4,3]=>[5,1,6,2,7,4,3]=>[[1,2,3],[4,6,7],[5]]=>[[1,4,5],[2,6],[3,7]]
[1,8,6,2,3,7,5,4]=>[1,6,2,3,7,5,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[1,8,6,3,2,7,5,4]=>[1,6,3,2,7,5,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[5,8,3,2,7,1,6,4]=>[5,3,2,7,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[8,7,3,1,6,5,4,2]=>[7,3,1,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4]]
[8,7,2,6,1,5,4,3]=>[7,2,6,1,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,2,5,6,7],[3,4]]
[1,8,5,7,4,3,6,2]=>[1,5,7,4,3,6,2]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[1,8,5,7,2,4,6,3]=>[1,5,7,2,4,6,3]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[3,8,6,1,7,2,5,4]=>[3,6,1,7,2,5,4]=>[[1,2,4],[3,5,7],[6]]=>[[1,3,6],[2,5],[4,7]]
[5,8,4,6,7,1,3,2]=>[5,4,6,7,1,3,2]=>[[1,2,7],[3,6],[4],[5]]=>[[1,3,4,5],[2,6],[7]]
[7,2,8,5,6,1,4,3]=>[7,2,5,6,1,4,3]=>[[1,3,6],[2,4],[5],[7]]=>[[1,2,5,7],[3,4],[6]]
[6,3,7,5,8,2,1,4]=>[6,3,7,5,2,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[3,7,2,6,8,4,1,5]=>[3,7,2,6,4,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[3,6,5,8,1,4,2,7]=>[3,6,5,1,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[2,6,5,8,4,1,3,7]=>[2,6,5,4,1,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[6,5,4,8,3,2,1,7]=>[6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7]]
[8,4,3,7,2,1,6,5]=>[4,3,7,2,1,6,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[8,2,4,7,1,3,6,5]=>[2,4,7,1,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[6,2,5,8,1,4,3,7]=>[6,2,5,1,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>[[1,2,5,6],[3,4],[7]]
[4,3,6,8,2,1,5,7]=>[4,3,6,2,1,5,7]=>[[1,5,7],[2,6],[3],[4]]=>[[1,2,3,4],[5,6],[7]]
[6,3,5,1,8,4,2,7]=>[6,3,5,1,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>[[1,3,5,6],[2,4],[7]]
[8,4,1,5,7,3,6,2]=>[4,1,5,7,3,6,2]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[6,4,2,5,8,3,1,7]=>[6,4,2,5,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>[[1,2,4,6],[3,5],[7]]
[5,4,1,6,8,2,3,7]=>[5,4,1,6,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[6,5,2,1,7,8,3,4]=>[6,5,2,1,7,3,4]=>[[1,3,4],[2,7],[5],[6]]=>[[1,2,5,6],[3,7],[4]]
[6,3,7,4,8,5,2,1]=>[6,3,7,4,5,2,1]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[4,7,2,5,8,6,3,1]=>[4,7,2,5,6,3,1]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[6,3,1,8,4,7,5,2]=>[6,3,1,4,7,5,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[6,4,2,8,7,3,5,1]=>[6,4,2,7,3,5,1]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[6,5,3,8,7,4,1,2]=>[6,5,3,7,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>[[1,3,5,6],[2,4,7]]
[8,5,3,7,6,4,2,1]=>[5,3,7,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[5,4,8,1,7,6,2,3]=>[5,4,1,7,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[5,2,8,1,7,3,6,4]=>[5,2,1,7,3,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[6,4,8,2,1,7,5,3]=>[6,4,2,1,7,5,3]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[3,6,8,1,4,7,5,2]=>[3,6,1,4,7,5,2]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[5,7,3,8,1,6,4,2]=>[5,7,3,1,6,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]
[6,4,7,8,1,5,3,2]=>[6,4,7,1,5,3,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[6,3,7,8,5,2,4,1]=>[6,3,7,5,2,4,1]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[2,5,8,7,1,3,6,4]=>[2,5,7,1,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[5,3,8,7,2,1,6,4]=>[5,3,7,2,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>[[1,2,3,5],[4,6,7]]
[8,3,7,6,1,5,4,2]=>[3,7,6,1,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4]]
[8,2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,2,5,6,7],[3,4]]
[4,3,8,7,6,2,1,5]=>[4,3,7,6,2,1,5]=>[[1,5],[2,6],[3,7],[4]]=>[[1,2,3,4],[5,6,7]]
[2,4,8,7,6,1,3,5]=>[2,4,7,6,1,3,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[3,5,8,7,2,6,1,4]=>[3,5,7,2,6,1,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[4,7,3,8,6,5,1,2]=>[4,7,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[7,5,8,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>[[1,6],[2],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6]]
[5,8,7,3,6,4,2,1]=>[5,7,3,6,4,2,1]=>[[1,4],[2,6],[3],[5],[7]]=>[[1,2,3,5,7],[4,6]]
[4,8,7,6,2,5,3,1]=>[4,7,6,2,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[[1,2,4,6,7],[3,5]]
[3,8,7,6,5,1,4,2]=>[3,7,6,5,1,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4]]
[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[1,3],[2,4],[5],[6],[7]]=>[[1,2,5,6,7],[3,4]]
[3,4,1,2,5,6,7,8,9]=>[3,4,1,2,5,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>[[1,3],[2,4],[5],[6],[7],[8]]
[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>[[1,2,3],[4],[5],[6],[7],[8]]
[4,5,6,1,2,3,7,8,9]=>[4,5,6,1,2,3,7,8]=>[[1,2,3,7,8],[4,5,6]]=>[[1,4],[2,5],[3,6],[7],[8]]
[4,2,5,1,3,6,7,8,9]=>[4,2,5,1,3,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>[[1,2,4],[3,5],[6],[7],[8]]
[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7],[8]]
[5,6,7,8,1,2,3,4,9]=>[5,6,7,8,1,2,3,4]=>[[1,2,3,4],[5,6,7,8]]=>[[1,5],[2,6],[3,7],[4,8]]
[5,2,6,7,1,3,4,8,9]=>[5,2,6,7,1,3,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>[[1,2,5],[3,6],[4,7],[8]]
[5,3,2,6,1,4,7,8,9]=>[5,3,2,6,1,4,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>[[1,2,3,5],[4,6],[7],[8]]
[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7],[8]]
[6,2,7,8,9,1,3,4,5]=>[6,2,7,8,1,3,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>[[1,2,6],[3,7],[4,8],[5]]
[6,7,3,4,8,1,2,5,9]=>[6,7,3,4,8,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>[[1,3,6],[2,4,7],[5,8]]
[6,3,2,7,8,1,4,5,9]=>[6,3,2,7,8,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>[[1,2,3,6],[4,7],[5,8]]
[6,4,7,2,5,1,3,8,9]=>[6,4,7,2,5,1,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7],[8]]
[6,4,3,2,7,1,5,8,9]=>[6,4,3,2,7,1,5,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>[[1,2,3,4,6],[5,7],[8]]
[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7],[8]]
[7,8,5,6,3,4,1,2,9]=>[7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>[[1,3,5,7],[2,4,6,8]]
[7,5,3,8,2,6,1,4,9]=>[7,5,3,8,2,6,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>[[1,2,3,5,7],[4,6,8]]
[7,5,4,3,2,8,1,6,9]=>[7,5,4,3,2,8,1,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>[[1,2,3,4,5,7],[6,8]]
[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>[[1,2,3,4,5,6,7],[8]]
[8,6,9,4,7,2,5,1,3]=>[8,6,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>[[1,2,4,6,8],[3,5,7]]
[8,6,5,4,3,2,9,1,7]=>[8,6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>[[1,2,3,4,5,6,8],[7]]
[3,4,1,2,5,6,7,8,9,10]=>[3,4,1,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]
[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]
[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>[[1,2,3,4],[5],[6],[7],[8],[9]]
[5,6,7,8,1,2,3,4,9,10]=>[5,6,7,8,1,2,3,4,9]=>[[1,2,3,4,9],[5,6,7,8]]=>[[1,5],[2,6],[3,7],[4,8],[9]]
[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>[[1,2,3,4,5],[6],[7],[8],[9]]
[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>[[1,2,3,4,5,6],[7],[8],[9]]
[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>[[1,2,3,4,5,6,7],[8],[9]]
[8,6,9,4,7,2,5,1,3,10]=>[8,6,9,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>[[1,2,4,6,8],[3,5,7,9]]
[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>[[1,2,3,4,5,6,7,8],[9]]
[3,6,5,1,2,4,8,7]=>[3,6,5,1,2,4,7]=>[[1,2,4,7],[3,5],[6]]=>[[1,3,6],[2,5],[4],[7]]
[3,7,5,8,2,4,1,6]=>[3,7,5,2,4,1,6]=>[[1,4,6],[2,5],[3],[7]]=>[[1,2,3,7],[4,5],[6]]
[3,8,5,7,2,4,1,6]=>[3,5,7,2,4,1,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[5,1,7,8,4,3,2,6]=>[5,1,7,4,3,2,6]=>[[1,2,6],[3,7],[4],[5]]=>[[1,3,4,5],[2,7],[6]]
[5,1,2,6,4,3,8,7]=>[5,1,2,6,4,3,7]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[6,1,2,5,4,3,8,7]=>[6,1,2,5,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[5,1,2,4,6,3,8,7]=>[5,1,2,4,6,3,7]=>[[1,2,3,6,7],[4],[5]]=>[[1,4,5],[2],[3],[6],[7]]
[4,1,2,6,5,3,8,7]=>[4,1,2,6,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[4,1,5,7,8,3,2,6]=>[4,1,5,7,3,2,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[4,1,5,8,7,3,2,6]=>[4,1,5,7,3,2,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[4,7,1,8,3,6,2,5]=>[4,7,1,3,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[4,1,7,8,5,2,3,6]=>[4,1,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[5,1,7,4,8,2,3,6]=>[5,1,7,4,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[7,5,3,8,1,4,2,6]=>[7,5,3,1,4,2,6]=>[[1,2,6],[3,4],[5],[7]]=>[[1,3,5,7],[2,4],[6]]
[2,1,5,8,7,3,4,6]=>[2,1,5,7,3,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[5,1,8,4,7,2,3,6]=>[5,1,4,7,2,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[4,1,8,7,5,2,3,6]=>[4,1,7,5,2,3,6]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[4,7,1,6,3,2,8,5]=>[4,7,1,6,3,2,5]=>[[1,2,5],[3,6],[4],[7]]=>[[1,3,4,7],[2,6],[5]]
[6,1,2,3,7,5,8,4]=>[6,1,2,3,7,5,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[7,1,2,3,8,6,5,4]=>[7,1,2,3,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[7,1,2,3,5,8,6,4]=>[7,1,2,3,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[6,8,1,4,3,7,2,5]=>[6,1,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[8,7,3,2,4,1,6,5]=>[7,3,2,4,1,6,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[2,1,7,3,4,8,6,5]=>[2,1,7,3,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[7,8,3,2,4,1,6,5]=>[7,3,2,4,1,6,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[6,7,1,4,3,8,2,5]=>[6,7,1,4,3,2,5]=>[[1,2,5],[3,7],[4],[6]]=>[[1,3,4,6],[2,7],[5]]
[8,1,2,3,5,7,6,4]=>[1,2,3,5,7,6,4]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[8,1,2,3,6,7,5,4]=>[1,2,3,6,7,5,4]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[7,1,2,3,6,8,5,4]=>[7,1,2,3,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[7,1,2,3,8,5,6,4]=>[7,1,2,3,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[8,1,2,3,7,5,6,4]=>[1,2,3,7,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[8,1,2,3,6,5,7,4]=>[1,2,3,6,5,7,4]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[7,1,8,5,4,3,2,6]=>[7,1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[7,8,2,6,3,4,1,5]=>[7,2,6,3,4,1,5]=>[[1,3,4,5],[2],[6],[7]]=>[[1,2,6,7],[3],[4],[5]]
[6,8,2,7,3,4,1,5]=>[6,2,7,3,4,1,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[6,7,2,8,3,4,1,5]=>[6,7,2,3,4,1,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[3,8,7,1,4,2,6,5]=>[3,7,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[3,7,8,1,4,2,6,5]=>[3,7,1,4,2,6,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[3,6,8,1,4,2,7,5]=>[3,6,1,4,2,7,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[3,5,7,8,2,4,1,6]=>[3,5,7,2,4,1,6]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[3,6,7,1,4,2,8,5]=>[3,6,7,1,4,2,5]=>[[1,2,5],[3,4,7],[6]]=>[[1,3,6],[2,4],[5,7]]
[7,6,2,8,3,1,4,5]=>[7,6,2,3,1,4,5]=>[[1,3,4,5],[2],[6],[7]]=>[[1,2,6,7],[3],[4],[5]]
[8,6,2,7,3,1,4,5]=>[6,2,7,3,1,4,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[8,1,7,5,4,3,2,6]=>[1,7,5,4,3,2,6]=>[[1,2,6],[3],[4],[5],[7]]=>[[1,3,4,5,7],[2],[6]]
[8,1,7,4,5,3,2,6]=>[1,7,4,5,3,2,6]=>[[1,2,5,6],[3],[4],[7]]=>[[1,3,4,7],[2],[5],[6]]
[5,8,3,7,1,4,2,6]=>[5,3,7,1,4,2,6]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[2,1,7,3,4,6,8,5]=>[2,1,7,3,4,6,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[6,7,3,2,4,1,8,5]=>[6,7,3,2,4,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[8,7,2,4,3,6,1,5]=>[7,2,4,3,6,1,5]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[7,1,2,3,5,6,8,4]=>[7,1,2,3,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>[[1,5,7],[2],[3],[4],[6]]
[6,1,2,3,8,7,4,5]=>[6,1,2,3,7,4,5]=>[[1,2,3,4,5],[6,7]]=>[[1,6],[2,7],[3],[4],[5]]
[5,1,2,3,7,8,6,4]=>[5,1,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[5,1,2,3,8,7,6,4]=>[5,1,2,3,7,6,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[5,1,2,3,8,6,7,4]=>[5,1,2,3,6,7,4]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[6,1,2,3,5,8,7,4]=>[6,1,2,3,5,7,4]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[8,6,2,4,3,1,7,5]=>[6,2,4,3,1,7,5]=>[[1,3,5],[2,7],[4],[6]]=>[[1,2,4,6],[3,7],[5]]
[7,6,3,2,4,8,1,5]=>[7,6,3,2,4,1,5]=>[[1,4,5],[2],[3],[6],[7]]=>[[1,2,3,6,7],[4],[5]]
[2,1,6,3,4,8,7,5]=>[2,1,6,3,4,7,5]=>[[1,3,4,5],[2,6,7]]=>[[1,2],[3,6],[4,7],[5]]
[8,6,3,2,4,7,1,5]=>[6,3,2,4,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>[[1,2,3,6],[4,7],[5]]
[7,6,2,4,3,1,8,5]=>[7,6,2,4,3,1,5]=>[[1,3,5],[2],[4],[6],[7]]=>[[1,2,4,6,7],[3],[5]]
[6,1,2,3,5,7,8,4]=>[6,1,2,3,5,7,4]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[5,1,2,3,6,8,7,4]=>[5,1,2,3,6,7,4]=>[[1,2,3,4,7],[5,6]]=>[[1,5],[2,6],[3],[4],[7]]
[7,8,1,2,6,3,5,4]=>[7,1,2,6,3,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[1,4,8,2,7,3,5,6]=>[1,4,2,7,3,5,6]=>[[1,2,3,5,6],[4,7]]=>[[1,4],[2,7],[3],[5],[6]]
[1,2,8,5,4,7,3,6]=>[1,2,5,4,7,3,6]=>[[1,2,3,6],[4,7],[5]]=>[[1,4,5],[2,7],[3],[6]]
[1,3,8,5,4,2,7,6]=>[1,3,5,4,2,7,6]=>[[1,2,4,6],[3,7],[5]]=>[[1,3,5],[2,7],[4],[6]]
[2,3,6,8,4,7,1,5]=>[2,3,6,4,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>[[1,2,6],[3,7],[4],[5]]
[1,3,6,8,4,7,5,2]=>[1,3,6,4,7,5,2]=>[[1,2,4,5],[3,7],[6]]=>[[1,3,6],[2,7],[4],[5]]
[2,4,8,1,7,3,6,5]=>[2,4,1,7,3,6,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[3,4,8,5,7,6,1,2]=>[3,4,5,7,6,1,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[1,2,6,8,4,5,7,3]=>[1,2,6,4,5,7,3]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[7,5,1,2,4,3,6,8]=>[7,5,1,2,4,3,6]=>[[1,2,3,6],[4],[5],[7]]=>[[1,4,5,7],[2],[3],[6]]
[7,4,6,1,5,2,3,8]=>[7,4,6,1,5,2,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[7,1,4,2,6,3,5,8]=>[7,1,4,2,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[6,8,1,4,7,2,3,5]=>[6,1,4,7,2,3,5]=>[[1,2,3,5],[4,7],[6]]=>[[1,4,6],[2,7],[3],[5]]
[1,6,4,2,8,3,5,7]=>[1,6,4,2,3,5,7]=>[[1,2,3,5,7],[4],[6]]=>[[1,4,6],[2],[3],[5],[7]]
[1,6,3,8,5,4,2,7]=>[1,6,3,5,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>[[1,3,5,6],[2],[4],[7]]
[6,8,1,7,3,5,4,2]=>[6,1,7,3,5,4,2]=>[[1,2,4],[3,7],[5],[6]]=>[[1,3,5,6],[2,7],[4]]
[7,1,3,6,5,4,2,8]=>[7,1,3,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>[[1,3,5,6,7],[2],[4]]
[7,3,1,6,5,4,2,8]=>[7,3,1,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>[[1,3,5,6,7],[2,4]]
[7,2,1,4,6,3,5,8]=>[7,2,1,4,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[7,2,3,6,5,1,4,8]=>[7,2,3,6,5,1,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[7,1,2,3,6,5,4,8]=>[7,1,2,3,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>[[1,5,6,7],[2],[3],[4]]
[6,8,1,2,7,3,5,4]=>[6,1,2,7,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[1,6,2,3,8,5,4,7]=>[1,6,2,3,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>[[1,5,6],[2],[3],[4],[7]]
[1,5,8,2,7,6,3,4]=>[1,5,2,7,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[5,1,8,2,7,6,3,4]=>[5,1,2,7,6,3,4]=>[[1,2,3,4],[5,6],[7]]=>[[1,5,7],[2,6],[3],[4]]
[5,8,2,7,6,3,4,1]=>[5,2,7,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>[[1,2,5,7],[3,6],[4]]
[6,2,8,1,7,3,5,4]=>[6,2,1,7,3,5,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[6,8,2,1,7,4,3,5]=>[6,2,1,7,4,3,5]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[3,6,4,1,2,8,5,7]=>[3,6,4,1,2,5,7]=>[[1,2,5,7],[3,4],[6]]=>[[1,3,6],[2,4],[5],[7]]
[2,1,6,3,8,5,4,7]=>[2,1,6,3,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>[[1,2,6],[3,5],[4],[7]]
[2,5,1,8,7,6,3,4]=>[2,5,1,7,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[2,5,3,8,7,4,6,1]=>[2,5,3,7,4,6,1]=>[[1,3,4,6],[2,7],[5]]=>[[1,2,5],[3,7],[4],[6]]
[1,2,5,3,8,7,4,6]=>[1,2,5,3,7,4,6]=>[[1,2,3,4,6],[5,7]]=>[[1,5],[2,7],[3],[4],[6]]
[2,4,8,7,6,5,1,3]=>[2,4,7,6,5,1,3]=>[[1,3,5],[2,4],[6],[7]]=>[[1,2,6,7],[3,4],[5]]
[2,5,3,8,7,1,6,4]=>[2,5,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[2,5,8,4,1,7,6,3]=>[2,5,4,1,7,6,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[3,5,8,7,1,4,2,6]=>[3,5,7,1,4,2,6]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[5,3,8,4,1,7,6,2]=>[5,3,4,1,7,6,2]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[4,2,8,7,6,3,5,1]=>[4,2,7,6,3,5,1]=>[[1,3,5],[2,6],[4],[7]]=>[[1,2,4,7],[3,6],[5]]
[4,2,8,7,6,5,3,1]=>[4,2,7,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>[[1,2,4,6,7],[3,5]]
[4,1,8,7,6,5,3,2]=>[4,1,7,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>[[1,3,4,6,7],[2,5]]
[4,3,8,7,6,5,1,2]=>[4,3,7,6,5,1,2]=>[[1,2],[3,5],[4,6],[7]]=>[[1,3,4,7],[2,5,6]]
[6,3,1,8,7,2,5,4]=>[6,3,1,7,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[5,8,3,7,6,1,4,2]=>[5,3,7,6,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>[[1,3,5,7],[2,4,6]]
[5,1,3,8,7,6,2,4]=>[5,1,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[1,5,3,8,7,6,2,4]=>[1,5,3,7,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[1,5,8,4,7,2,6,3]=>[1,5,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[5,1,8,4,7,2,6,3]=>[5,1,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[5,8,7,4,6,1,2,3]=>[5,7,4,6,1,2,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[6,8,5,1,2,4,7,3]=>[6,5,1,2,4,7,3]=>[[1,2,3,7],[4],[5],[6]]=>[[1,4,5,6],[2],[3],[7]]
[5,6,3,1,2,4,8,7]=>[5,6,3,1,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>[[1,3,5],[2,6],[4],[7]]
[5,6,2,4,3,1,8,7]=>[5,6,2,4,3,1,7]=>[[1,3,7],[2,6],[4],[5]]=>[[1,2,4,5],[3,6],[7]]
[5,6,1,2,4,3,8,7]=>[5,6,1,2,4,3,7]=>[[1,2,3,7],[4,6],[5]]=>[[1,4,5],[2,6],[3],[7]]
[4,5,8,1,7,2,3,6]=>[4,5,1,7,2,3,6]=>[[1,2,3,6],[4,5,7]]=>[[1,4],[2,5],[3,7],[6]]
[4,5,8,1,7,2,6,3]=>[4,5,1,7,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>[[1,4,7],[2,5],[3,6]]
[1,3,2,5,8,7,4,6]=>[1,3,2,5,7,4,6]=>[[1,2,4,6],[3,5,7]]=>[[1,3],[2,5],[4,7],[6]]
[3,5,1,8,7,4,6,2]=>[3,5,1,7,4,6,2]=>[[1,2,6],[3,4,7],[5]]=>[[1,3,5],[2,4],[6,7]]
[3,5,1,8,7,2,6,4]=>[3,5,1,7,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[4,3,6,1,2,8,5,7]=>[4,3,6,1,2,5,7]=>[[1,2,5,7],[3,6],[4]]=>[[1,3,4],[2,6],[5],[7]]
[4,5,8,3,1,7,2,6]=>[4,5,3,1,7,2,6]=>[[1,2,6],[3,5,7],[4]]=>[[1,3,4],[2,5],[6,7]]
[4,5,2,8,7,1,3,6]=>[4,5,2,7,1,3,6]=>[[1,3,6],[2,5,7],[4]]=>[[1,2,4],[3,5],[6,7]]
[3,2,5,8,7,1,6,4]=>[3,2,5,7,1,6,4]=>[[1,4,6],[2,5],[3,7]]=>[[1,2,3],[4,5,7],[6]]
[3,4,8,7,6,2,1,5]=>[3,4,7,6,2,1,5]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[3,1,4,8,7,6,2,5]=>[3,1,4,7,6,2,5]=>[[1,2,5],[3,4,6],[7]]=>[[1,3,7],[2,4],[5,6]]
[3,4,8,7,6,5,1,2]=>[3,4,7,6,5,1,2]=>[[1,2,5],[3,4],[6],[7]]=>[[1,3,6,7],[2,4],[5]]
[1,3,4,8,7,6,2,5]=>[1,3,4,7,6,2,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[3,4,8,7,6,2,5,1]=>[3,4,7,6,2,5,1]=>[[1,4,5],[2,6],[3],[7]]=>[[1,2,3,7],[4,6],[5]]
[3,2,5,8,7,4,6,1]=>[3,2,5,7,4,6,1]=>[[1,4,6],[2,5,7],[3]]=>[[1,2,3],[4,5],[6,7]]
[4,5,8,3,1,7,6,2]=>[4,5,3,1,7,6,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[2,1,3,5,8,7,4,6]=>[2,1,3,5,7,4,6]=>[[1,3,4,6],[2,5,7]]=>[[1,2],[3,5],[4,7],[6]]
[1,2,7,5,8,6,4,3]=>[1,2,7,5,6,4,3]=>[[1,2,3,6],[4],[5],[7]]=>[[1,4,5,7],[2],[3],[6]]
[7,1,4,8,2,6,5,3]=>[7,1,4,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>[[1,4,6,7],[2,5],[3]]
[6,8,1,3,7,5,2,4]=>[6,1,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[3,7,8,1,2,6,5,4]=>[3,7,1,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[1,3,7,8,2,6,5,4]=>[1,3,7,2,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>[[1,3,6,7],[2,5],[4]]
[2,3,7,8,1,6,5,4]=>[2,3,7,1,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[2,7,8,1,3,6,5,4]=>[2,7,1,3,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>[[1,2,6,7],[3,5],[4]]
[8,1,2,6,7,3,5,4]=>[1,2,6,7,3,5,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[8,1,2,6,7,5,3,4]=>[1,2,6,7,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>[[1,5,6],[2,7],[3],[4]]
[8,2,5,7,1,3,6,4]=>[2,5,7,1,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[2,8,1,6,7,3,5,4]=>[2,1,6,7,3,5,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[2,6,8,3,7,1,5,4]=>[2,6,3,7,1,5,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[2,8,6,4,7,1,5,3]=>[2,6,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7]]=>[[1,2,6],[3,4,7],[5]]
[6,8,3,4,1,7,5,2]=>[6,3,4,1,7,5,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[6,8,3,7,4,1,5,2]=>[6,3,7,4,1,5,2]=>[[1,2,5],[3,4],[6,7]]=>[[1,3,6],[2,4,7],[5]]
[2,6,8,3,7,5,1,4]=>[2,6,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>[[1,2,6],[3,5,7],[4]]
[2,8,1,6,7,5,3,4]=>[2,1,6,7,5,3,4]=>[[1,3,4],[2,5,7],[6]]=>[[1,2,6],[3,5],[4,7]]
[8,2,5,7,1,6,3,4]=>[2,5,7,1,6,3,4]=>[[1,3,4],[2,5,6],[7]]=>[[1,2,7],[3,5],[4,6]]
[8,4,7,2,3,6,1,5]=>[4,7,2,3,6,1,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[8,5,7,4,2,6,1,3]=>[5,7,4,2,6,1,3]=>[[1,3],[2,6],[4,7],[5]]=>[[1,2,4,5],[3,6,7]]
[8,3,5,7,4,1,6,2]=>[3,5,7,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>[[1,3,5],[2,4,7],[6]]
[8,5,2,4,7,1,6,3]=>[5,2,4,7,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>[[1,2,5],[3,4,7],[6]]
[8,2,3,5,7,1,6,4]=>[2,3,5,7,1,6,4]=>[[1,3,4,6],[2,5],[7]]=>[[1,2,7],[3,5],[4],[6]]
[8,2,4,7,3,6,1,5]=>[2,4,7,3,6,1,5]=>[[1,3,5],[2,6],[4,7]]=>[[1,2,4],[3,6,7],[5]]
[8,2,7,1,4,6,3,5]=>[2,7,1,4,6,3,5]=>[[1,3,5],[2,4,6],[7]]=>[[1,2,7],[3,4],[5,6]]
[8,7,1,2,4,6,3,5]=>[7,1,2,4,6,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[8,7,1,4,6,2,3,5]=>[7,1,4,6,2,3,5]=>[[1,2,3,5],[4,6],[7]]=>[[1,4,7],[2,6],[3],[5]]
[8,4,7,1,3,6,2,5]=>[4,7,1,3,6,2,5]=>[[1,2,5],[3,6],[4,7]]=>[[1,3,4],[2,6,7],[5]]
[1,6,8,3,7,2,5,4]=>[1,6,3,7,2,5,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[8,3,5,7,1,2,6,4]=>[3,5,7,1,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[5,8,7,1,3,6,2,4]=>[5,7,1,3,6,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[8,5,4,7,1,6,2,3]=>[5,4,7,1,6,2,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[8,5,4,7,1,2,6,3]=>[5,4,7,1,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[8,5,1,4,7,2,6,3]=>[5,1,4,7,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>[[1,4,5],[2,6,7],[3]]
[1,4,6,8,2,7,5,3]=>[1,4,6,2,7,5,3]=>[[1,2,3,7],[4,5],[6]]=>[[1,4,6],[2,5],[3],[7]]
[1,6,5,8,2,7,4,3]=>[1,6,5,2,7,4,3]=>[[1,2,3],[4,7],[5],[6]]=>[[1,4,5,6],[2,7],[3]]
[8,5,6,3,1,7,4,2]=>[5,6,3,1,7,4,2]=>[[1,2,7],[3,4],[5,6]]=>[[1,3,5],[2,4,6],[7]]
[5,6,2,8,1,7,4,3]=>[5,6,2,1,7,4,3]=>[[1,3,7],[2,4],[5,6]]=>[[1,2,5],[3,4,6],[7]]
[1,8,4,5,7,2,6,3]=>[1,4,5,7,2,6,3]=>[[1,2,3,6],[4,5],[7]]=>[[1,4,7],[2,5],[3],[6]]
[5,8,7,3,6,1,2,4]=>[5,7,3,6,1,2,4]=>[[1,2,4],[3,6],[5,7]]=>[[1,3,5],[2,6,7],[4]]
[8,3,5,7,1,6,2,4]=>[3,5,7,1,6,2,4]=>[[1,2,4],[3,5,6],[7]]=>[[1,3,7],[2,5],[4,6]]
[1,6,8,3,7,5,2,4]=>[1,6,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>[[1,3,6],[2,5,7],[4]]
[6,3,8,2,7,5,1,4]=>[6,3,2,7,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>[[1,2,3,6],[4,5,7]]
[6,8,4,2,7,1,5,3]=>[6,4,2,7,1,5,3]=>[[1,3],[2,5],[4,7],[6]]=>[[1,2,4,6],[3,5,7]]
[8,6,4,7,3,1,5,2]=>[6,4,7,3,1,5,2]=>[[1,2],[3,5],[4,7],[6]]=>[[1,3,4,6],[2,5,7]]
[8,4,5,7,3,1,6,2]=>[4,5,7,3,1,6,2]=>[[1,2,6],[3,5],[4,7]]=>[[1,3,4],[2,5,7],[6]]
[8,4,2,5,7,1,6,3]=>[4,2,5,7,1,6,3]=>[[1,3,6],[2,5],[4,7]]=>[[1,2,4],[3,5,7],[6]]
[8,3,4,7,2,6,1,5]=>[3,4,7,2,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[8,7,1,3,4,6,2,5]=>[7,1,3,4,6,2,5]=>[[1,2,4,5],[3,6],[7]]=>[[1,3,7],[2,6],[4],[5]]
[8,3,7,2,4,6,1,5]=>[3,7,2,4,6,1,5]=>[[1,4,5],[2,6],[3,7]]=>[[1,2,3],[4,6,7],[5]]
[2,8,4,5,7,1,6,3]=>[2,4,5,7,1,6,3]=>[[1,3,5,6],[2,4],[7]]=>[[1,2,7],[3,4],[5],[6]]
[8,7,3,4,5,1,6,2]=>[7,3,4,5,1,6,2]=>[[1,2,5,6],[3,4],[7]]=>[[1,3,7],[2,4],[5],[6]]
[8,7,4,5,2,6,1,3]=>[7,4,5,2,6,1,3]=>[[1,3,6],[2,5],[4],[7]]=>[[1,2,4,7],[3,5],[6]]
[5,8,7,2,3,6,1,4]=>[5,7,2,3,6,1,4]=>[[1,3,4],[2,6],[5,7]]=>[[1,2,5],[3,6,7],[4]]
[8,7,2,3,4,6,1,5]=>[7,2,3,4,6,1,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
[8,7,2,3,6,1,4,5]=>[7,2,3,6,1,4,5]=>[[1,3,4,5],[2,6],[7]]=>[[1,2,7],[3,6],[4],[5]]
Map
restriction
Description
The permutation obtained by removing the largest letter.
This map is undefined for the empty permutation.
This map is undefined for the empty permutation.
Map
Robinson-Schensted insertion tableau
Description
Sends a permutation to its Robinson-Schensted insertion tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding insertion tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding insertion tableau.
Map
conjugate
Description
Sends a standard tableau to its conjugate tableau.
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