Identifier
-
Mp00070:
Permutations
—Robinson-Schensted recording tableau⟶
Standard tableaux
St000075: Standard tableaux ⟶ ℤ
Values
=>
Cc0007;cc-rep
[1]=>[[1]]=>1
[1,2]=>[[1,2]]=>1
[2,1]=>[[1],[2]]=>1
[1,2,3]=>[[1,2,3]]=>1
[1,3,2]=>[[1,2],[3]]=>2
[2,1,3]=>[[1,3],[2]]=>2
[2,3,1]=>[[1,2],[3]]=>2
[3,1,2]=>[[1,3],[2]]=>2
[3,2,1]=>[[1],[2],[3]]=>1
[1,2,3,4]=>[[1,2,3,4]]=>1
[1,2,4,3]=>[[1,2,3],[4]]=>3
[1,3,2,4]=>[[1,2,4],[3]]=>3
[1,3,4,2]=>[[1,2,3],[4]]=>3
[1,4,2,3]=>[[1,2,4],[3]]=>3
[1,4,3,2]=>[[1,2],[3],[4]]=>3
[2,1,3,4]=>[[1,3,4],[2]]=>3
[2,1,4,3]=>[[1,3],[2,4]]=>2
[2,3,1,4]=>[[1,2,4],[3]]=>3
[2,3,4,1]=>[[1,2,3],[4]]=>3
[2,4,1,3]=>[[1,2],[3,4]]=>2
[2,4,3,1]=>[[1,2],[3],[4]]=>3
[3,1,2,4]=>[[1,3,4],[2]]=>3
[3,1,4,2]=>[[1,3],[2,4]]=>2
[3,2,1,4]=>[[1,4],[2],[3]]=>3
[3,2,4,1]=>[[1,3],[2],[4]]=>3
[3,4,1,2]=>[[1,2],[3,4]]=>2
[3,4,2,1]=>[[1,2],[3],[4]]=>3
[4,1,2,3]=>[[1,3,4],[2]]=>3
[4,1,3,2]=>[[1,3],[2],[4]]=>3
[4,2,1,3]=>[[1,4],[2],[3]]=>3
[4,2,3,1]=>[[1,3],[2],[4]]=>3
[4,3,1,2]=>[[1,4],[2],[3]]=>3
[4,3,2,1]=>[[1],[2],[3],[4]]=>1
[1,2,3,4,5]=>[[1,2,3,4,5]]=>1
[1,2,3,5,4]=>[[1,2,3,4],[5]]=>4
[1,2,4,3,5]=>[[1,2,3,5],[4]]=>4
[1,2,4,5,3]=>[[1,2,3,4],[5]]=>4
[1,2,5,3,4]=>[[1,2,3,5],[4]]=>4
[1,2,5,4,3]=>[[1,2,3],[4],[5]]=>4
[1,3,2,4,5]=>[[1,2,4,5],[3]]=>4
[1,3,2,5,4]=>[[1,2,4],[3,5]]=>2
[1,3,4,2,5]=>[[1,2,3,5],[4]]=>4
[1,3,4,5,2]=>[[1,2,3,4],[5]]=>4
[1,3,5,2,4]=>[[1,2,3],[4,5]]=>3
[1,3,5,4,2]=>[[1,2,3],[4],[5]]=>4
[1,4,2,3,5]=>[[1,2,4,5],[3]]=>4
[1,4,2,5,3]=>[[1,2,4],[3,5]]=>2
[1,4,3,2,5]=>[[1,2,5],[3],[4]]=>4
[1,4,3,5,2]=>[[1,2,4],[3],[5]]=>2
[1,4,5,2,3]=>[[1,2,3],[4,5]]=>3
[1,4,5,3,2]=>[[1,2,3],[4],[5]]=>4
[1,5,2,3,4]=>[[1,2,4,5],[3]]=>4
[1,5,2,4,3]=>[[1,2,4],[3],[5]]=>2
[1,5,3,2,4]=>[[1,2,5],[3],[4]]=>4
[1,5,3,4,2]=>[[1,2,4],[3],[5]]=>2
[1,5,4,2,3]=>[[1,2,5],[3],[4]]=>4
[1,5,4,3,2]=>[[1,2],[3],[4],[5]]=>4
[2,1,3,4,5]=>[[1,3,4,5],[2]]=>4
[2,1,3,5,4]=>[[1,3,4],[2,5]]=>3
[2,1,4,3,5]=>[[1,3,5],[2,4]]=>2
[2,1,4,5,3]=>[[1,3,4],[2,5]]=>3
[2,1,5,3,4]=>[[1,3,5],[2,4]]=>2
[2,1,5,4,3]=>[[1,3],[2,4],[5]]=>3
[2,3,1,4,5]=>[[1,2,4,5],[3]]=>4
[2,3,1,5,4]=>[[1,2,4],[3,5]]=>2
[2,3,4,1,5]=>[[1,2,3,5],[4]]=>4
[2,3,4,5,1]=>[[1,2,3,4],[5]]=>4
[2,3,5,1,4]=>[[1,2,3],[4,5]]=>3
[2,3,5,4,1]=>[[1,2,3],[4],[5]]=>4
[2,4,1,3,5]=>[[1,2,5],[3,4]]=>3
[2,4,1,5,3]=>[[1,2,4],[3,5]]=>2
[2,4,3,1,5]=>[[1,2,5],[3],[4]]=>4
[2,4,3,5,1]=>[[1,2,4],[3],[5]]=>2
[2,4,5,1,3]=>[[1,2,3],[4,5]]=>3
[2,4,5,3,1]=>[[1,2,3],[4],[5]]=>4
[2,5,1,3,4]=>[[1,2,5],[3,4]]=>3
[2,5,1,4,3]=>[[1,2],[3,4],[5]]=>2
[2,5,3,1,4]=>[[1,2,5],[3],[4]]=>4
[2,5,3,4,1]=>[[1,2,4],[3],[5]]=>2
[2,5,4,1,3]=>[[1,2],[3,5],[4]]=>3
[2,5,4,3,1]=>[[1,2],[3],[4],[5]]=>4
[3,1,2,4,5]=>[[1,3,4,5],[2]]=>4
[3,1,2,5,4]=>[[1,3,4],[2,5]]=>3
[3,1,4,2,5]=>[[1,3,5],[2,4]]=>2
[3,1,4,5,2]=>[[1,3,4],[2,5]]=>3
[3,1,5,2,4]=>[[1,3,5],[2,4]]=>2
[3,1,5,4,2]=>[[1,3],[2,4],[5]]=>3
[3,2,1,4,5]=>[[1,4,5],[2],[3]]=>4
[3,2,1,5,4]=>[[1,4],[2,5],[3]]=>3
[3,2,4,1,5]=>[[1,3,5],[2],[4]]=>2
[3,2,4,5,1]=>[[1,3,4],[2],[5]]=>4
[3,2,5,1,4]=>[[1,3],[2,5],[4]]=>2
[3,2,5,4,1]=>[[1,3],[2,4],[5]]=>3
[3,4,1,2,5]=>[[1,2,5],[3,4]]=>3
[3,4,1,5,2]=>[[1,2,4],[3,5]]=>2
[3,4,2,1,5]=>[[1,2,5],[3],[4]]=>4
[3,4,2,5,1]=>[[1,2,4],[3],[5]]=>2
[3,4,5,1,2]=>[[1,2,3],[4,5]]=>3
[3,4,5,2,1]=>[[1,2,3],[4],[5]]=>4
[3,5,1,2,4]=>[[1,2,5],[3,4]]=>3
[3,5,1,4,2]=>[[1,2],[3,4],[5]]=>2
[3,5,2,1,4]=>[[1,2],[3,5],[4]]=>3
[3,5,2,4,1]=>[[1,2],[3,4],[5]]=>2
[3,5,4,1,2]=>[[1,2],[3,5],[4]]=>3
[3,5,4,2,1]=>[[1,2],[3],[4],[5]]=>4
[4,1,2,3,5]=>[[1,3,4,5],[2]]=>4
[4,1,2,5,3]=>[[1,3,4],[2,5]]=>3
[4,1,3,2,5]=>[[1,3,5],[2],[4]]=>2
[4,1,3,5,2]=>[[1,3,4],[2],[5]]=>4
[4,1,5,2,3]=>[[1,3,5],[2,4]]=>2
[4,1,5,3,2]=>[[1,3],[2,4],[5]]=>3
[4,2,1,3,5]=>[[1,4,5],[2],[3]]=>4
[4,2,1,5,3]=>[[1,4],[2,5],[3]]=>3
[4,2,3,1,5]=>[[1,3,5],[2],[4]]=>2
[4,2,3,5,1]=>[[1,3,4],[2],[5]]=>4
[4,2,5,1,3]=>[[1,3],[2,5],[4]]=>2
[4,2,5,3,1]=>[[1,3],[2,4],[5]]=>3
[4,3,1,2,5]=>[[1,4,5],[2],[3]]=>4
[4,3,1,5,2]=>[[1,4],[2,5],[3]]=>3
[4,3,2,1,5]=>[[1,5],[2],[3],[4]]=>4
[4,3,2,5,1]=>[[1,4],[2],[3],[5]]=>4
[4,3,5,1,2]=>[[1,3],[2,5],[4]]=>2
[4,3,5,2,1]=>[[1,3],[2],[4],[5]]=>4
[4,5,1,2,3]=>[[1,2,5],[3,4]]=>3
[4,5,1,3,2]=>[[1,2],[3,4],[5]]=>2
[4,5,2,1,3]=>[[1,2],[3,5],[4]]=>3
[4,5,2,3,1]=>[[1,2],[3,4],[5]]=>2
[4,5,3,1,2]=>[[1,2],[3,5],[4]]=>3
[4,5,3,2,1]=>[[1,2],[3],[4],[5]]=>4
[5,1,2,3,4]=>[[1,3,4,5],[2]]=>4
[5,1,2,4,3]=>[[1,3,4],[2],[5]]=>4
[5,1,3,2,4]=>[[1,3,5],[2],[4]]=>2
[5,1,3,4,2]=>[[1,3,4],[2],[5]]=>4
[5,1,4,2,3]=>[[1,3,5],[2],[4]]=>2
[5,1,4,3,2]=>[[1,3],[2],[4],[5]]=>4
[5,2,1,3,4]=>[[1,4,5],[2],[3]]=>4
[5,2,1,4,3]=>[[1,4],[2,5],[3]]=>3
[5,2,3,1,4]=>[[1,3,5],[2],[4]]=>2
[5,2,3,4,1]=>[[1,3,4],[2],[5]]=>4
[5,2,4,1,3]=>[[1,3],[2,5],[4]]=>2
[5,2,4,3,1]=>[[1,3],[2],[4],[5]]=>4
[5,3,1,2,4]=>[[1,4,5],[2],[3]]=>4
[5,3,1,4,2]=>[[1,4],[2,5],[3]]=>3
[5,3,2,1,4]=>[[1,5],[2],[3],[4]]=>4
[5,3,2,4,1]=>[[1,4],[2],[3],[5]]=>4
[5,3,4,1,2]=>[[1,3],[2,5],[4]]=>2
[5,3,4,2,1]=>[[1,3],[2],[4],[5]]=>4
[5,4,1,2,3]=>[[1,4,5],[2],[3]]=>4
[5,4,1,3,2]=>[[1,4],[2],[3],[5]]=>4
[5,4,2,1,3]=>[[1,5],[2],[3],[4]]=>4
[5,4,2,3,1]=>[[1,4],[2],[3],[5]]=>4
[5,4,3,1,2]=>[[1,5],[2],[3],[4]]=>4
[5,4,3,2,1]=>[[1],[2],[3],[4],[5]]=>1
[1,2,3,4,5,6]=>[[1,2,3,4,5,6]]=>1
[1,2,3,4,6,5]=>[[1,2,3,4,5],[6]]=>5
[1,2,3,5,4,6]=>[[1,2,3,4,6],[5]]=>5
[1,2,3,5,6,4]=>[[1,2,3,4,5],[6]]=>5
[1,2,3,6,4,5]=>[[1,2,3,4,6],[5]]=>5
[1,2,3,6,5,4]=>[[1,2,3,4],[5],[6]]=>5
[1,2,4,3,5,6]=>[[1,2,3,5,6],[4]]=>5
[1,2,4,3,6,5]=>[[1,2,3,5],[4,6]]=>5
[1,2,4,5,3,6]=>[[1,2,3,4,6],[5]]=>5
[1,2,4,5,6,3]=>[[1,2,3,4,5],[6]]=>5
[1,2,4,6,3,5]=>[[1,2,3,4],[5,6]]=>4
[1,2,4,6,5,3]=>[[1,2,3,4],[5],[6]]=>5
[1,2,5,3,4,6]=>[[1,2,3,5,6],[4]]=>5
[1,2,5,3,6,4]=>[[1,2,3,5],[4,6]]=>5
[1,2,5,4,3,6]=>[[1,2,3,6],[4],[5]]=>5
[1,2,5,4,6,3]=>[[1,2,3,5],[4],[6]]=>5
[1,2,5,6,3,4]=>[[1,2,3,4],[5,6]]=>4
[1,2,5,6,4,3]=>[[1,2,3,4],[5],[6]]=>5
[1,2,6,3,4,5]=>[[1,2,3,5,6],[4]]=>5
[1,2,6,3,5,4]=>[[1,2,3,5],[4],[6]]=>5
[1,2,6,4,3,5]=>[[1,2,3,6],[4],[5]]=>5
[1,2,6,4,5,3]=>[[1,2,3,5],[4],[6]]=>5
[1,2,6,5,3,4]=>[[1,2,3,6],[4],[5]]=>5
[1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6]]=>5
[1,3,2,4,5,6]=>[[1,2,4,5,6],[3]]=>5
[1,3,2,4,6,5]=>[[1,2,4,5],[3,6]]=>5
[1,3,2,5,4,6]=>[[1,2,4,6],[3,5]]=>5
[1,3,2,5,6,4]=>[[1,2,4,5],[3,6]]=>5
[1,3,2,6,4,5]=>[[1,2,4,6],[3,5]]=>5
[1,3,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>12
[1,3,4,2,5,6]=>[[1,2,3,5,6],[4]]=>5
[1,3,4,2,6,5]=>[[1,2,3,5],[4,6]]=>5
[1,3,4,5,2,6]=>[[1,2,3,4,6],[5]]=>5
[1,3,4,5,6,2]=>[[1,2,3,4,5],[6]]=>5
[1,3,4,6,2,5]=>[[1,2,3,4],[5,6]]=>4
[1,3,4,6,5,2]=>[[1,2,3,4],[5],[6]]=>5
[1,3,5,2,4,6]=>[[1,2,3,6],[4,5]]=>4
[1,3,5,2,6,4]=>[[1,2,3,5],[4,6]]=>5
[1,3,5,4,2,6]=>[[1,2,3,6],[4],[5]]=>5
[1,3,5,4,6,2]=>[[1,2,3,5],[4],[6]]=>5
[1,3,5,6,2,4]=>[[1,2,3,4],[5,6]]=>4
[1,3,5,6,4,2]=>[[1,2,3,4],[5],[6]]=>5
[1,3,6,2,4,5]=>[[1,2,3,6],[4,5]]=>4
[1,3,6,2,5,4]=>[[1,2,3],[4,5],[6]]=>12
[1,3,6,4,2,5]=>[[1,2,3,6],[4],[5]]=>5
[1,3,6,4,5,2]=>[[1,2,3,5],[4],[6]]=>5
[1,3,6,5,2,4]=>[[1,2,3],[4,6],[5]]=>4
[1,3,6,5,4,2]=>[[1,2,3],[4],[5],[6]]=>5
[1,4,2,3,5,6]=>[[1,2,4,5,6],[3]]=>5
[1,4,2,3,6,5]=>[[1,2,4,5],[3,6]]=>5
[1,4,2,5,3,6]=>[[1,2,4,6],[3,5]]=>5
[1,4,2,5,6,3]=>[[1,2,4,5],[3,6]]=>5
[1,4,2,6,3,5]=>[[1,2,4,6],[3,5]]=>5
[1,4,2,6,5,3]=>[[1,2,4],[3,5],[6]]=>12
[1,4,3,2,5,6]=>[[1,2,5,6],[3],[4]]=>5
[1,4,3,2,6,5]=>[[1,2,5],[3,6],[4]]=>12
[1,4,3,5,2,6]=>[[1,2,4,6],[3],[5]]=>5
[1,4,3,5,6,2]=>[[1,2,4,5],[3],[6]]=>5
[1,4,3,6,2,5]=>[[1,2,4],[3,6],[5]]=>12
[1,4,3,6,5,2]=>[[1,2,4],[3,5],[6]]=>12
[1,4,5,2,3,6]=>[[1,2,3,6],[4,5]]=>4
[1,4,5,2,6,3]=>[[1,2,3,5],[4,6]]=>5
[1,4,5,3,2,6]=>[[1,2,3,6],[4],[5]]=>5
[1,4,5,3,6,2]=>[[1,2,3,5],[4],[6]]=>5
[1,4,5,6,2,3]=>[[1,2,3,4],[5,6]]=>4
[1,4,5,6,3,2]=>[[1,2,3,4],[5],[6]]=>5
[1,4,6,2,3,5]=>[[1,2,3,6],[4,5]]=>4
[1,4,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>12
[1,4,6,3,2,5]=>[[1,2,3],[4,6],[5]]=>4
[1,4,6,3,5,2]=>[[1,2,3],[4,5],[6]]=>12
[1,4,6,5,2,3]=>[[1,2,3],[4,6],[5]]=>4
[1,4,6,5,3,2]=>[[1,2,3],[4],[5],[6]]=>5
[1,5,2,3,4,6]=>[[1,2,4,5,6],[3]]=>5
[1,5,2,3,6,4]=>[[1,2,4,5],[3,6]]=>5
[1,5,2,4,3,6]=>[[1,2,4,6],[3],[5]]=>5
[1,5,2,4,6,3]=>[[1,2,4,5],[3],[6]]=>5
[1,5,2,6,3,4]=>[[1,2,4,6],[3,5]]=>5
[1,5,2,6,4,3]=>[[1,2,4],[3,5],[6]]=>12
[1,5,3,2,4,6]=>[[1,2,5,6],[3],[4]]=>5
[1,5,3,2,6,4]=>[[1,2,5],[3,6],[4]]=>12
[1,5,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>5
[1,5,3,4,6,2]=>[[1,2,4,5],[3],[6]]=>5
[1,5,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>12
[1,5,3,6,4,2]=>[[1,2,4],[3,5],[6]]=>12
[1,5,4,2,3,6]=>[[1,2,5,6],[3],[4]]=>5
[1,5,4,2,6,3]=>[[1,2,5],[3,6],[4]]=>12
[1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>5
[1,5,4,3,6,2]=>[[1,2,5],[3],[4],[6]]=>5
[1,5,4,6,2,3]=>[[1,2,4],[3,6],[5]]=>12
[1,5,4,6,3,2]=>[[1,2,4],[3],[5],[6]]=>5
[1,5,6,2,3,4]=>[[1,2,3,6],[4,5]]=>4
[1,5,6,2,4,3]=>[[1,2,3],[4,5],[6]]=>12
[1,5,6,3,2,4]=>[[1,2,3],[4,6],[5]]=>4
[1,5,6,3,4,2]=>[[1,2,3],[4,5],[6]]=>12
[1,5,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>4
[1,5,6,4,3,2]=>[[1,2,3],[4],[5],[6]]=>5
[1,6,2,3,4,5]=>[[1,2,4,5,6],[3]]=>5
[1,6,2,3,5,4]=>[[1,2,4,5],[3],[6]]=>5
[1,6,2,4,3,5]=>[[1,2,4,6],[3],[5]]=>5
[1,6,2,4,5,3]=>[[1,2,4,5],[3],[6]]=>5
[1,6,2,5,3,4]=>[[1,2,4,6],[3],[5]]=>5
[1,6,2,5,4,3]=>[[1,2,4],[3],[5],[6]]=>5
[1,6,3,2,4,5]=>[[1,2,5,6],[3],[4]]=>5
[1,6,3,2,5,4]=>[[1,2,5],[3,6],[4]]=>12
[1,6,3,4,2,5]=>[[1,2,4,6],[3],[5]]=>5
[1,6,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>5
[1,6,3,5,2,4]=>[[1,2,4],[3,6],[5]]=>12
[1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>5
[1,6,4,2,3,5]=>[[1,2,5,6],[3],[4]]=>5
[1,6,4,2,5,3]=>[[1,2,5],[3,6],[4]]=>12
[1,6,4,3,2,5]=>[[1,2,6],[3],[4],[5]]=>5
[1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>5
[1,6,4,5,2,3]=>[[1,2,4],[3,6],[5]]=>12
[1,6,4,5,3,2]=>[[1,2,4],[3],[5],[6]]=>5
[1,6,5,2,3,4]=>[[1,2,5,6],[3],[4]]=>5
[1,6,5,2,4,3]=>[[1,2,5],[3],[4],[6]]=>5
[1,6,5,3,2,4]=>[[1,2,6],[3],[4],[5]]=>5
[1,6,5,3,4,2]=>[[1,2,5],[3],[4],[6]]=>5
[1,6,5,4,2,3]=>[[1,2,6],[3],[4],[5]]=>5
[1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>5
[2,1,3,4,5,6]=>[[1,3,4,5,6],[2]]=>5
[2,1,3,4,6,5]=>[[1,3,4,5],[2,6]]=>4
[2,1,3,5,4,6]=>[[1,3,4,6],[2,5]]=>5
[2,1,3,5,6,4]=>[[1,3,4,5],[2,6]]=>4
[2,1,3,6,4,5]=>[[1,3,4,6],[2,5]]=>5
[2,1,3,6,5,4]=>[[1,3,4],[2,5],[6]]=>4
[2,1,4,3,5,6]=>[[1,3,5,6],[2,4]]=>5
[2,1,4,3,6,5]=>[[1,3,5],[2,4,6]]=>2
[2,1,4,5,3,6]=>[[1,3,4,6],[2,5]]=>5
[2,1,4,5,6,3]=>[[1,3,4,5],[2,6]]=>4
[2,1,4,6,3,5]=>[[1,3,4],[2,5,6]]=>3
[2,1,4,6,5,3]=>[[1,3,4],[2,5],[6]]=>4
[2,1,5,3,4,6]=>[[1,3,5,6],[2,4]]=>5
[2,1,5,3,6,4]=>[[1,3,5],[2,4,6]]=>2
[2,1,5,4,3,6]=>[[1,3,6],[2,4],[5]]=>12
[2,1,5,4,6,3]=>[[1,3,5],[2,4],[6]]=>12
[2,1,5,6,3,4]=>[[1,3,4],[2,5,6]]=>3
[2,1,5,6,4,3]=>[[1,3,4],[2,5],[6]]=>4
[2,1,6,3,4,5]=>[[1,3,5,6],[2,4]]=>5
[2,1,6,3,5,4]=>[[1,3,5],[2,4],[6]]=>12
[2,1,6,4,3,5]=>[[1,3,6],[2,4],[5]]=>12
[2,1,6,4,5,3]=>[[1,3,5],[2,4],[6]]=>12
[2,1,6,5,3,4]=>[[1,3,6],[2,4],[5]]=>12
[2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6]]=>4
[2,3,1,4,5,6]=>[[1,2,4,5,6],[3]]=>5
[2,3,1,4,6,5]=>[[1,2,4,5],[3,6]]=>5
[2,3,1,5,4,6]=>[[1,2,4,6],[3,5]]=>5
[2,3,1,5,6,4]=>[[1,2,4,5],[3,6]]=>5
[2,3,1,6,4,5]=>[[1,2,4,6],[3,5]]=>5
[2,3,1,6,5,4]=>[[1,2,4],[3,5],[6]]=>12
[2,3,4,1,5,6]=>[[1,2,3,5,6],[4]]=>5
[2,3,4,1,6,5]=>[[1,2,3,5],[4,6]]=>5
[2,3,4,5,1,6]=>[[1,2,3,4,6],[5]]=>5
[2,3,4,5,6,1]=>[[1,2,3,4,5],[6]]=>5
[2,3,4,6,1,5]=>[[1,2,3,4],[5,6]]=>4
[2,3,4,6,5,1]=>[[1,2,3,4],[5],[6]]=>5
[2,3,5,1,4,6]=>[[1,2,3,6],[4,5]]=>4
[2,3,5,1,6,4]=>[[1,2,3,5],[4,6]]=>5
[2,3,5,4,1,6]=>[[1,2,3,6],[4],[5]]=>5
[2,3,5,4,6,1]=>[[1,2,3,5],[4],[6]]=>5
[2,3,5,6,1,4]=>[[1,2,3,4],[5,6]]=>4
[2,3,5,6,4,1]=>[[1,2,3,4],[5],[6]]=>5
[2,3,6,1,4,5]=>[[1,2,3,6],[4,5]]=>4
[2,3,6,1,5,4]=>[[1,2,3],[4,5],[6]]=>12
[2,3,6,4,1,5]=>[[1,2,3,6],[4],[5]]=>5
[2,3,6,4,5,1]=>[[1,2,3,5],[4],[6]]=>5
[2,3,6,5,1,4]=>[[1,2,3],[4,6],[5]]=>4
[2,3,6,5,4,1]=>[[1,2,3],[4],[5],[6]]=>5
[2,4,1,3,5,6]=>[[1,2,5,6],[3,4]]=>4
[2,4,1,3,6,5]=>[[1,2,5],[3,4,6]]=>3
[2,4,1,5,3,6]=>[[1,2,4,6],[3,5]]=>5
[2,4,1,5,6,3]=>[[1,2,4,5],[3,6]]=>5
[2,4,1,6,3,5]=>[[1,2,4],[3,5,6]]=>2
[2,4,1,6,5,3]=>[[1,2,4],[3,5],[6]]=>12
[2,4,3,1,5,6]=>[[1,2,5,6],[3],[4]]=>5
[2,4,3,1,6,5]=>[[1,2,5],[3,6],[4]]=>12
[2,4,3,5,1,6]=>[[1,2,4,6],[3],[5]]=>5
[2,4,3,5,6,1]=>[[1,2,4,5],[3],[6]]=>5
[2,4,3,6,1,5]=>[[1,2,4],[3,6],[5]]=>12
[2,4,3,6,5,1]=>[[1,2,4],[3,5],[6]]=>12
[2,4,5,1,3,6]=>[[1,2,3,6],[4,5]]=>4
[2,4,5,1,6,3]=>[[1,2,3,5],[4,6]]=>5
[2,4,5,3,1,6]=>[[1,2,3,6],[4],[5]]=>5
[2,4,5,3,6,1]=>[[1,2,3,5],[4],[6]]=>5
[2,4,5,6,1,3]=>[[1,2,3,4],[5,6]]=>4
[2,4,5,6,3,1]=>[[1,2,3,4],[5],[6]]=>5
[2,4,6,1,3,5]=>[[1,2,3],[4,5,6]]=>3
[2,4,6,1,5,3]=>[[1,2,3],[4,5],[6]]=>12
[2,4,6,3,1,5]=>[[1,2,3],[4,6],[5]]=>4
[2,4,6,3,5,1]=>[[1,2,3],[4,5],[6]]=>12
[2,4,6,5,1,3]=>[[1,2,3],[4,6],[5]]=>4
[2,4,6,5,3,1]=>[[1,2,3],[4],[5],[6]]=>5
[2,5,1,3,4,6]=>[[1,2,5,6],[3,4]]=>4
[2,5,1,3,6,4]=>[[1,2,5],[3,4,6]]=>3
[2,5,1,4,3,6]=>[[1,2,6],[3,4],[5]]=>12
[2,5,1,4,6,3]=>[[1,2,5],[3,4],[6]]=>12
[2,5,1,6,3,4]=>[[1,2,4],[3,5,6]]=>2
[2,5,1,6,4,3]=>[[1,2,4],[3,5],[6]]=>12
[2,5,3,1,4,6]=>[[1,2,5,6],[3],[4]]=>5
[2,5,3,1,6,4]=>[[1,2,5],[3,6],[4]]=>12
[2,5,3,4,1,6]=>[[1,2,4,6],[3],[5]]=>5
[2,5,3,4,6,1]=>[[1,2,4,5],[3],[6]]=>5
[2,5,3,6,1,4]=>[[1,2,4],[3,6],[5]]=>12
[2,5,3,6,4,1]=>[[1,2,4],[3,5],[6]]=>12
[2,5,4,1,3,6]=>[[1,2,6],[3,5],[4]]=>4
[2,5,4,1,6,3]=>[[1,2,5],[3,6],[4]]=>12
[2,5,4,3,1,6]=>[[1,2,6],[3],[4],[5]]=>5
[2,5,4,3,6,1]=>[[1,2,5],[3],[4],[6]]=>5
[2,5,4,6,1,3]=>[[1,2,4],[3,6],[5]]=>12
[2,5,4,6,3,1]=>[[1,2,4],[3],[5],[6]]=>5
[2,5,6,1,3,4]=>[[1,2,3],[4,5,6]]=>3
[2,5,6,1,4,3]=>[[1,2,3],[4,5],[6]]=>12
[2,5,6,3,1,4]=>[[1,2,3],[4,6],[5]]=>4
[2,5,6,3,4,1]=>[[1,2,3],[4,5],[6]]=>12
[2,5,6,4,1,3]=>[[1,2,3],[4,6],[5]]=>4
[2,5,6,4,3,1]=>[[1,2,3],[4],[5],[6]]=>5
[2,6,1,3,4,5]=>[[1,2,5,6],[3,4]]=>4
[2,6,1,3,5,4]=>[[1,2,5],[3,4],[6]]=>12
[2,6,1,4,3,5]=>[[1,2,6],[3,4],[5]]=>12
[2,6,1,4,5,3]=>[[1,2,5],[3,4],[6]]=>12
[2,6,1,5,3,4]=>[[1,2,6],[3,4],[5]]=>12
[2,6,1,5,4,3]=>[[1,2],[3,4],[5],[6]]=>5
[2,6,3,1,4,5]=>[[1,2,5,6],[3],[4]]=>5
[2,6,3,1,5,4]=>[[1,2,5],[3,6],[4]]=>12
[2,6,3,4,1,5]=>[[1,2,4,6],[3],[5]]=>5
[2,6,3,4,5,1]=>[[1,2,4,5],[3],[6]]=>5
[2,6,3,5,1,4]=>[[1,2,4],[3,6],[5]]=>12
[2,6,3,5,4,1]=>[[1,2,4],[3],[5],[6]]=>5
[2,6,4,1,3,5]=>[[1,2,6],[3,5],[4]]=>4
[2,6,4,1,5,3]=>[[1,2,5],[3,6],[4]]=>12
[2,6,4,3,1,5]=>[[1,2,6],[3],[4],[5]]=>5
[2,6,4,3,5,1]=>[[1,2,5],[3],[4],[6]]=>5
[2,6,4,5,1,3]=>[[1,2,4],[3,6],[5]]=>12
[2,6,4,5,3,1]=>[[1,2,4],[3],[5],[6]]=>5
[2,6,5,1,3,4]=>[[1,2,6],[3,5],[4]]=>4
[2,6,5,1,4,3]=>[[1,2],[3,5],[4],[6]]=>5
[2,6,5,3,1,4]=>[[1,2,6],[3],[4],[5]]=>5
[2,6,5,3,4,1]=>[[1,2,5],[3],[4],[6]]=>5
[2,6,5,4,1,3]=>[[1,2],[3,6],[4],[5]]=>4
[2,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6]]=>5
[3,1,2,4,5,6]=>[[1,3,4,5,6],[2]]=>5
[3,1,2,4,6,5]=>[[1,3,4,5],[2,6]]=>4
[3,1,2,5,4,6]=>[[1,3,4,6],[2,5]]=>5
[3,1,2,5,6,4]=>[[1,3,4,5],[2,6]]=>4
[3,1,2,6,4,5]=>[[1,3,4,6],[2,5]]=>5
[3,1,2,6,5,4]=>[[1,3,4],[2,5],[6]]=>4
[3,1,4,2,5,6]=>[[1,3,5,6],[2,4]]=>5
[3,1,4,2,6,5]=>[[1,3,5],[2,4,6]]=>2
[3,1,4,5,2,6]=>[[1,3,4,6],[2,5]]=>5
[3,1,4,5,6,2]=>[[1,3,4,5],[2,6]]=>4
[3,1,4,6,2,5]=>[[1,3,4],[2,5,6]]=>3
[3,1,4,6,5,2]=>[[1,3,4],[2,5],[6]]=>4
[3,1,5,2,4,6]=>[[1,3,5,6],[2,4]]=>5
[3,1,5,2,6,4]=>[[1,3,5],[2,4,6]]=>2
[3,1,5,4,2,6]=>[[1,3,6],[2,4],[5]]=>12
[3,1,5,4,6,2]=>[[1,3,5],[2,4],[6]]=>12
[3,1,5,6,2,4]=>[[1,3,4],[2,5,6]]=>3
[3,1,5,6,4,2]=>[[1,3,4],[2,5],[6]]=>4
[3,1,6,2,4,5]=>[[1,3,5,6],[2,4]]=>5
[3,1,6,2,5,4]=>[[1,3,5],[2,4],[6]]=>12
[3,1,6,4,2,5]=>[[1,3,6],[2,4],[5]]=>12
[3,1,6,4,5,2]=>[[1,3,5],[2,4],[6]]=>12
[3,1,6,5,2,4]=>[[1,3,6],[2,4],[5]]=>12
[3,1,6,5,4,2]=>[[1,3],[2,4],[5],[6]]=>4
[3,2,1,4,5,6]=>[[1,4,5,6],[2],[3]]=>5
[3,2,1,4,6,5]=>[[1,4,5],[2,6],[3]]=>4
[3,2,1,5,4,6]=>[[1,4,6],[2,5],[3]]=>12
[3,2,1,5,6,4]=>[[1,4,5],[2,6],[3]]=>4
[3,2,1,6,4,5]=>[[1,4,6],[2,5],[3]]=>12
[3,2,1,6,5,4]=>[[1,4],[2,5],[3,6]]=>3
[3,2,4,1,5,6]=>[[1,3,5,6],[2],[4]]=>5
[3,2,4,1,6,5]=>[[1,3,5],[2,6],[4]]=>12
[3,2,4,5,1,6]=>[[1,3,4,6],[2],[5]]=>5
[3,2,4,5,6,1]=>[[1,3,4,5],[2],[6]]=>5
[3,2,4,6,1,5]=>[[1,3,4],[2,6],[5]]=>12
[3,2,4,6,5,1]=>[[1,3,4],[2,5],[6]]=>4
[3,2,5,1,4,6]=>[[1,3,6],[2,5],[4]]=>12
[3,2,5,1,6,4]=>[[1,3,5],[2,6],[4]]=>12
[3,2,5,4,1,6]=>[[1,3,6],[2,4],[5]]=>12
[3,2,5,4,6,1]=>[[1,3,5],[2,4],[6]]=>12
[3,2,5,6,1,4]=>[[1,3,4],[2,6],[5]]=>12
[3,2,5,6,4,1]=>[[1,3,4],[2,5],[6]]=>4
[3,2,6,1,4,5]=>[[1,3,6],[2,5],[4]]=>12
[3,2,6,1,5,4]=>[[1,3],[2,5],[4,6]]=>2
[3,2,6,4,1,5]=>[[1,3,6],[2,4],[5]]=>12
[3,2,6,4,5,1]=>[[1,3,5],[2,4],[6]]=>12
[3,2,6,5,1,4]=>[[1,3],[2,4],[5,6]]=>3
[3,2,6,5,4,1]=>[[1,3],[2,4],[5],[6]]=>4
[3,4,1,2,5,6]=>[[1,2,5,6],[3,4]]=>4
[3,4,1,2,6,5]=>[[1,2,5],[3,4,6]]=>3
[3,4,1,5,2,6]=>[[1,2,4,6],[3,5]]=>5
[3,4,1,5,6,2]=>[[1,2,4,5],[3,6]]=>5
[3,4,1,6,2,5]=>[[1,2,4],[3,5,6]]=>2
[3,4,1,6,5,2]=>[[1,2,4],[3,5],[6]]=>12
[3,4,2,1,5,6]=>[[1,2,5,6],[3],[4]]=>5
[3,4,2,1,6,5]=>[[1,2,5],[3,6],[4]]=>12
[3,4,2,5,1,6]=>[[1,2,4,6],[3],[5]]=>5
[3,4,2,5,6,1]=>[[1,2,4,5],[3],[6]]=>5
[3,4,2,6,1,5]=>[[1,2,4],[3,6],[5]]=>12
[3,4,2,6,5,1]=>[[1,2,4],[3,5],[6]]=>12
[3,4,5,1,2,6]=>[[1,2,3,6],[4,5]]=>4
[3,4,5,1,6,2]=>[[1,2,3,5],[4,6]]=>5
[3,4,5,2,1,6]=>[[1,2,3,6],[4],[5]]=>5
[3,4,5,2,6,1]=>[[1,2,3,5],[4],[6]]=>5
[3,4,5,6,1,2]=>[[1,2,3,4],[5,6]]=>4
[3,4,5,6,2,1]=>[[1,2,3,4],[5],[6]]=>5
[3,4,6,1,2,5]=>[[1,2,3],[4,5,6]]=>3
[3,4,6,1,5,2]=>[[1,2,3],[4,5],[6]]=>12
[3,4,6,2,1,5]=>[[1,2,3],[4,6],[5]]=>4
[3,4,6,2,5,1]=>[[1,2,3],[4,5],[6]]=>12
[3,4,6,5,1,2]=>[[1,2,3],[4,6],[5]]=>4
[3,4,6,5,2,1]=>[[1,2,3],[4],[5],[6]]=>5
[3,5,1,2,4,6]=>[[1,2,5,6],[3,4]]=>4
[3,5,1,2,6,4]=>[[1,2,5],[3,4,6]]=>3
[3,5,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>12
[3,5,1,4,6,2]=>[[1,2,5],[3,4],[6]]=>12
[3,5,1,6,2,4]=>[[1,2,4],[3,5,6]]=>2
[3,5,1,6,4,2]=>[[1,2,4],[3,5],[6]]=>12
[3,5,2,1,4,6]=>[[1,2,6],[3,5],[4]]=>4
[3,5,2,1,6,4]=>[[1,2,5],[3,6],[4]]=>12
[3,5,2,4,1,6]=>[[1,2,6],[3,4],[5]]=>12
[3,5,2,4,6,1]=>[[1,2,5],[3,4],[6]]=>12
[3,5,2,6,1,4]=>[[1,2,4],[3,6],[5]]=>12
[3,5,2,6,4,1]=>[[1,2,4],[3,5],[6]]=>12
[3,5,4,1,2,6]=>[[1,2,6],[3,5],[4]]=>4
[3,5,4,1,6,2]=>[[1,2,5],[3,6],[4]]=>12
[3,5,4,2,1,6]=>[[1,2,6],[3],[4],[5]]=>5
[3,5,4,2,6,1]=>[[1,2,5],[3],[4],[6]]=>5
[3,5,4,6,1,2]=>[[1,2,4],[3,6],[5]]=>12
[3,5,4,6,2,1]=>[[1,2,4],[3],[5],[6]]=>5
[3,5,6,1,2,4]=>[[1,2,3],[4,5,6]]=>3
[3,5,6,1,4,2]=>[[1,2,3],[4,5],[6]]=>12
[3,5,6,2,1,4]=>[[1,2,3],[4,6],[5]]=>4
[3,5,6,2,4,1]=>[[1,2,3],[4,5],[6]]=>12
[3,5,6,4,1,2]=>[[1,2,3],[4,6],[5]]=>4
[3,5,6,4,2,1]=>[[1,2,3],[4],[5],[6]]=>5
[3,6,1,2,4,5]=>[[1,2,5,6],[3,4]]=>4
[3,6,1,2,5,4]=>[[1,2,5],[3,4],[6]]=>12
[3,6,1,4,2,5]=>[[1,2,6],[3,4],[5]]=>12
[3,6,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>12
[3,6,1,5,2,4]=>[[1,2,6],[3,4],[5]]=>12
[3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>5
[3,6,2,1,4,5]=>[[1,2,6],[3,5],[4]]=>4
[3,6,2,1,5,4]=>[[1,2],[3,5],[4,6]]=>3
[3,6,2,4,1,5]=>[[1,2,6],[3,4],[5]]=>12
[3,6,2,4,5,1]=>[[1,2,5],[3,4],[6]]=>12
[3,6,2,5,1,4]=>[[1,2],[3,4],[5,6]]=>2
[3,6,2,5,4,1]=>[[1,2],[3,4],[5],[6]]=>5
[3,6,4,1,2,5]=>[[1,2,6],[3,5],[4]]=>4
[3,6,4,1,5,2]=>[[1,2,5],[3,6],[4]]=>12
[3,6,4,2,1,5]=>[[1,2,6],[3],[4],[5]]=>5
[3,6,4,2,5,1]=>[[1,2,5],[3],[4],[6]]=>5
[3,6,4,5,1,2]=>[[1,2,4],[3,6],[5]]=>12
[3,6,4,5,2,1]=>[[1,2,4],[3],[5],[6]]=>5
[3,6,5,1,2,4]=>[[1,2,6],[3,5],[4]]=>4
[3,6,5,1,4,2]=>[[1,2],[3,5],[4],[6]]=>5
[3,6,5,2,1,4]=>[[1,2],[3,6],[4],[5]]=>4
[3,6,5,2,4,1]=>[[1,2],[3,5],[4],[6]]=>5
[3,6,5,4,1,2]=>[[1,2],[3,6],[4],[5]]=>4
[3,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6]]=>5
[4,1,2,3,5,6]=>[[1,3,4,5,6],[2]]=>5
[4,1,2,3,6,5]=>[[1,3,4,5],[2,6]]=>4
[4,1,2,5,3,6]=>[[1,3,4,6],[2,5]]=>5
[4,1,2,5,6,3]=>[[1,3,4,5],[2,6]]=>4
[4,1,2,6,3,5]=>[[1,3,4,6],[2,5]]=>5
[4,1,2,6,5,3]=>[[1,3,4],[2,5],[6]]=>4
[4,1,3,2,5,6]=>[[1,3,5,6],[2],[4]]=>5
[4,1,3,2,6,5]=>[[1,3,5],[2,6],[4]]=>12
[4,1,3,5,2,6]=>[[1,3,4,6],[2],[5]]=>5
[4,1,3,5,6,2]=>[[1,3,4,5],[2],[6]]=>5
[4,1,3,6,2,5]=>[[1,3,4],[2,6],[5]]=>12
[4,1,3,6,5,2]=>[[1,3,4],[2,5],[6]]=>4
[4,1,5,2,3,6]=>[[1,3,5,6],[2,4]]=>5
[4,1,5,2,6,3]=>[[1,3,5],[2,4,6]]=>2
[4,1,5,3,2,6]=>[[1,3,6],[2,4],[5]]=>12
[4,1,5,3,6,2]=>[[1,3,5],[2,4],[6]]=>12
[4,1,5,6,2,3]=>[[1,3,4],[2,5,6]]=>3
[4,1,5,6,3,2]=>[[1,3,4],[2,5],[6]]=>4
[4,1,6,2,3,5]=>[[1,3,5,6],[2,4]]=>5
[4,1,6,2,5,3]=>[[1,3,5],[2,4],[6]]=>12
[4,1,6,3,2,5]=>[[1,3,6],[2,4],[5]]=>12
[4,1,6,3,5,2]=>[[1,3,5],[2,4],[6]]=>12
[4,1,6,5,2,3]=>[[1,3,6],[2,4],[5]]=>12
[4,1,6,5,3,2]=>[[1,3],[2,4],[5],[6]]=>4
[4,2,1,3,5,6]=>[[1,4,5,6],[2],[3]]=>5
[4,2,1,3,6,5]=>[[1,4,5],[2,6],[3]]=>4
[4,2,1,5,3,6]=>[[1,4,6],[2,5],[3]]=>12
[4,2,1,5,6,3]=>[[1,4,5],[2,6],[3]]=>4
[4,2,1,6,3,5]=>[[1,4,6],[2,5],[3]]=>12
[4,2,1,6,5,3]=>[[1,4],[2,5],[3,6]]=>3
[4,2,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>5
[4,2,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>12
[4,2,3,5,1,6]=>[[1,3,4,6],[2],[5]]=>5
[4,2,3,5,6,1]=>[[1,3,4,5],[2],[6]]=>5
[4,2,3,6,1,5]=>[[1,3,4],[2,6],[5]]=>12
[4,2,3,6,5,1]=>[[1,3,4],[2,5],[6]]=>4
[4,2,5,1,3,6]=>[[1,3,6],[2,5],[4]]=>12
[4,2,5,1,6,3]=>[[1,3,5],[2,6],[4]]=>12
[4,2,5,3,1,6]=>[[1,3,6],[2,4],[5]]=>12
[4,2,5,3,6,1]=>[[1,3,5],[2,4],[6]]=>12
[4,2,5,6,1,3]=>[[1,3,4],[2,6],[5]]=>12
[4,2,5,6,3,1]=>[[1,3,4],[2,5],[6]]=>4
[4,2,6,1,3,5]=>[[1,3,6],[2,5],[4]]=>12
[4,2,6,1,5,3]=>[[1,3],[2,5],[4,6]]=>2
[4,2,6,3,1,5]=>[[1,3,6],[2,4],[5]]=>12
[4,2,6,3,5,1]=>[[1,3,5],[2,4],[6]]=>12
[4,2,6,5,1,3]=>[[1,3],[2,4],[5,6]]=>3
[4,2,6,5,3,1]=>[[1,3],[2,4],[5],[6]]=>4
[4,3,1,2,5,6]=>[[1,4,5,6],[2],[3]]=>5
[4,3,1,2,6,5]=>[[1,4,5],[2,6],[3]]=>4
[4,3,1,5,2,6]=>[[1,4,6],[2,5],[3]]=>12
[4,3,1,5,6,2]=>[[1,4,5],[2,6],[3]]=>4
[4,3,1,6,2,5]=>[[1,4,6],[2,5],[3]]=>12
[4,3,1,6,5,2]=>[[1,4],[2,5],[3,6]]=>3
[4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]]=>5
[4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4]]=>4
[4,3,2,5,1,6]=>[[1,4,6],[2],[3],[5]]=>5
[4,3,2,5,6,1]=>[[1,4,5],[2],[3],[6]]=>5
[4,3,2,6,1,5]=>[[1,4],[2,6],[3],[5]]=>5
[4,3,2,6,5,1]=>[[1,4],[2,5],[3],[6]]=>4
[4,3,5,1,2,6]=>[[1,3,6],[2,5],[4]]=>12
[4,3,5,1,6,2]=>[[1,3,5],[2,6],[4]]=>12
[4,3,5,2,1,6]=>[[1,3,6],[2],[4],[5]]=>5
[4,3,5,2,6,1]=>[[1,3,5],[2],[4],[6]]=>5
[4,3,5,6,1,2]=>[[1,3,4],[2,6],[5]]=>12
[4,3,5,6,2,1]=>[[1,3,4],[2],[5],[6]]=>5
[4,3,6,1,2,5]=>[[1,3,6],[2,5],[4]]=>12
[4,3,6,1,5,2]=>[[1,3],[2,5],[4,6]]=>2
[4,3,6,2,1,5]=>[[1,3],[2,6],[4],[5]]=>5
[4,3,6,2,5,1]=>[[1,3],[2,5],[4],[6]]=>5
[4,3,6,5,1,2]=>[[1,3],[2,4],[5,6]]=>3
[4,3,6,5,2,1]=>[[1,3],[2,4],[5],[6]]=>4
[4,5,1,2,3,6]=>[[1,2,5,6],[3,4]]=>4
[4,5,1,2,6,3]=>[[1,2,5],[3,4,6]]=>3
[4,5,1,3,2,6]=>[[1,2,6],[3,4],[5]]=>12
[4,5,1,3,6,2]=>[[1,2,5],[3,4],[6]]=>12
[4,5,1,6,2,3]=>[[1,2,4],[3,5,6]]=>2
[4,5,1,6,3,2]=>[[1,2,4],[3,5],[6]]=>12
[4,5,2,1,3,6]=>[[1,2,6],[3,5],[4]]=>4
[4,5,2,1,6,3]=>[[1,2,5],[3,6],[4]]=>12
[4,5,2,3,1,6]=>[[1,2,6],[3,4],[5]]=>12
[4,5,2,3,6,1]=>[[1,2,5],[3,4],[6]]=>12
[4,5,2,6,1,3]=>[[1,2,4],[3,6],[5]]=>12
[4,5,2,6,3,1]=>[[1,2,4],[3,5],[6]]=>12
[4,5,3,1,2,6]=>[[1,2,6],[3,5],[4]]=>4
[4,5,3,1,6,2]=>[[1,2,5],[3,6],[4]]=>12
[4,5,3,2,1,6]=>[[1,2,6],[3],[4],[5]]=>5
[4,5,3,2,6,1]=>[[1,2,5],[3],[4],[6]]=>5
[4,5,3,6,1,2]=>[[1,2,4],[3,6],[5]]=>12
[4,5,3,6,2,1]=>[[1,2,4],[3],[5],[6]]=>5
[4,5,6,1,2,3]=>[[1,2,3],[4,5,6]]=>3
[4,5,6,1,3,2]=>[[1,2,3],[4,5],[6]]=>12
[4,5,6,2,1,3]=>[[1,2,3],[4,6],[5]]=>4
[4,5,6,2,3,1]=>[[1,2,3],[4,5],[6]]=>12
[4,5,6,3,1,2]=>[[1,2,3],[4,6],[5]]=>4
[4,5,6,3,2,1]=>[[1,2,3],[4],[5],[6]]=>5
[4,6,1,2,3,5]=>[[1,2,5,6],[3,4]]=>4
[4,6,1,2,5,3]=>[[1,2,5],[3,4],[6]]=>12
[4,6,1,3,2,5]=>[[1,2,6],[3,4],[5]]=>12
[4,6,1,3,5,2]=>[[1,2,5],[3,4],[6]]=>12
[4,6,1,5,2,3]=>[[1,2,6],[3,4],[5]]=>12
[4,6,1,5,3,2]=>[[1,2],[3,4],[5],[6]]=>5
[4,6,2,1,3,5]=>[[1,2,6],[3,5],[4]]=>4
[4,6,2,1,5,3]=>[[1,2],[3,5],[4,6]]=>3
[4,6,2,3,1,5]=>[[1,2,6],[3,4],[5]]=>12
[4,6,2,3,5,1]=>[[1,2,5],[3,4],[6]]=>12
[4,6,2,5,1,3]=>[[1,2],[3,4],[5,6]]=>2
[4,6,2,5,3,1]=>[[1,2],[3,4],[5],[6]]=>5
[4,6,3,1,2,5]=>[[1,2,6],[3,5],[4]]=>4
[4,6,3,1,5,2]=>[[1,2],[3,5],[4,6]]=>3
[4,6,3,2,1,5]=>[[1,2],[3,6],[4],[5]]=>4
[4,6,3,2,5,1]=>[[1,2],[3,5],[4],[6]]=>5
[4,6,3,5,1,2]=>[[1,2],[3,4],[5,6]]=>2
[4,6,3,5,2,1]=>[[1,2],[3,4],[5],[6]]=>5
[4,6,5,1,2,3]=>[[1,2,6],[3,5],[4]]=>4
[4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>5
[4,6,5,2,1,3]=>[[1,2],[3,6],[4],[5]]=>4
[4,6,5,2,3,1]=>[[1,2],[3,5],[4],[6]]=>5
[4,6,5,3,1,2]=>[[1,2],[3,6],[4],[5]]=>4
[4,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6]]=>5
[5,1,2,3,4,6]=>[[1,3,4,5,6],[2]]=>5
[5,1,2,3,6,4]=>[[1,3,4,5],[2,6]]=>4
[5,1,2,4,3,6]=>[[1,3,4,6],[2],[5]]=>5
[5,1,2,4,6,3]=>[[1,3,4,5],[2],[6]]=>5
[5,1,2,6,3,4]=>[[1,3,4,6],[2,5]]=>5
[5,1,2,6,4,3]=>[[1,3,4],[2,5],[6]]=>4
[5,1,3,2,4,6]=>[[1,3,5,6],[2],[4]]=>5
[5,1,3,2,6,4]=>[[1,3,5],[2,6],[4]]=>12
[5,1,3,4,2,6]=>[[1,3,4,6],[2],[5]]=>5
[5,1,3,4,6,2]=>[[1,3,4,5],[2],[6]]=>5
[5,1,3,6,2,4]=>[[1,3,4],[2,6],[5]]=>12
[5,1,3,6,4,2]=>[[1,3,4],[2,5],[6]]=>4
[5,1,4,2,3,6]=>[[1,3,5,6],[2],[4]]=>5
[5,1,4,2,6,3]=>[[1,3,5],[2,6],[4]]=>12
[5,1,4,3,2,6]=>[[1,3,6],[2],[4],[5]]=>5
[5,1,4,3,6,2]=>[[1,3,5],[2],[4],[6]]=>5
[5,1,4,6,2,3]=>[[1,3,4],[2,6],[5]]=>12
[5,1,4,6,3,2]=>[[1,3,4],[2],[5],[6]]=>5
[5,1,6,2,3,4]=>[[1,3,5,6],[2,4]]=>5
[5,1,6,2,4,3]=>[[1,3,5],[2,4],[6]]=>12
[5,1,6,3,2,4]=>[[1,3,6],[2,4],[5]]=>12
[5,1,6,3,4,2]=>[[1,3,5],[2,4],[6]]=>12
[5,1,6,4,2,3]=>[[1,3,6],[2,4],[5]]=>12
[5,1,6,4,3,2]=>[[1,3],[2,4],[5],[6]]=>4
[5,2,1,3,4,6]=>[[1,4,5,6],[2],[3]]=>5
[5,2,1,3,6,4]=>[[1,4,5],[2,6],[3]]=>4
[5,2,1,4,3,6]=>[[1,4,6],[2,5],[3]]=>12
[5,2,1,4,6,3]=>[[1,4,5],[2,6],[3]]=>4
[5,2,1,6,3,4]=>[[1,4,6],[2,5],[3]]=>12
[5,2,1,6,4,3]=>[[1,4],[2,5],[3,6]]=>3
[5,2,3,1,4,6]=>[[1,3,5,6],[2],[4]]=>5
[5,2,3,1,6,4]=>[[1,3,5],[2,6],[4]]=>12
[5,2,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>5
[5,2,3,4,6,1]=>[[1,3,4,5],[2],[6]]=>5
[5,2,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>12
[5,2,3,6,4,1]=>[[1,3,4],[2,5],[6]]=>4
[5,2,4,1,3,6]=>[[1,3,6],[2,5],[4]]=>12
[5,2,4,1,6,3]=>[[1,3,5],[2,6],[4]]=>12
[5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>5
[5,2,4,3,6,1]=>[[1,3,5],[2],[4],[6]]=>5
[5,2,4,6,1,3]=>[[1,3,4],[2,6],[5]]=>12
[5,2,4,6,3,1]=>[[1,3,4],[2],[5],[6]]=>5
[5,2,6,1,3,4]=>[[1,3,6],[2,5],[4]]=>12
[5,2,6,1,4,3]=>[[1,3],[2,5],[4,6]]=>2
[5,2,6,3,1,4]=>[[1,3,6],[2,4],[5]]=>12
[5,2,6,3,4,1]=>[[1,3,5],[2,4],[6]]=>12
[5,2,6,4,1,3]=>[[1,3],[2,4],[5,6]]=>3
[5,2,6,4,3,1]=>[[1,3],[2,4],[5],[6]]=>4
[5,3,1,2,4,6]=>[[1,4,5,6],[2],[3]]=>5
[5,3,1,2,6,4]=>[[1,4,5],[2,6],[3]]=>4
[5,3,1,4,2,6]=>[[1,4,6],[2,5],[3]]=>12
[5,3,1,4,6,2]=>[[1,4,5],[2,6],[3]]=>4
[5,3,1,6,2,4]=>[[1,4,6],[2,5],[3]]=>12
[5,3,1,6,4,2]=>[[1,4],[2,5],[3,6]]=>3
[5,3,2,1,4,6]=>[[1,5,6],[2],[3],[4]]=>5
[5,3,2,1,6,4]=>[[1,5],[2,6],[3],[4]]=>4
[5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5]]=>5
[5,3,2,4,6,1]=>[[1,4,5],[2],[3],[6]]=>5
[5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5]]=>5
[5,3,2,6,4,1]=>[[1,4],[2,5],[3],[6]]=>4
[5,3,4,1,2,6]=>[[1,3,6],[2,5],[4]]=>12
[5,3,4,1,6,2]=>[[1,3,5],[2,6],[4]]=>12
[5,3,4,2,1,6]=>[[1,3,6],[2],[4],[5]]=>5
[5,3,4,2,6,1]=>[[1,3,5],[2],[4],[6]]=>5
[5,3,4,6,1,2]=>[[1,3,4],[2,6],[5]]=>12
[5,3,4,6,2,1]=>[[1,3,4],[2],[5],[6]]=>5
[5,3,6,1,2,4]=>[[1,3,6],[2,5],[4]]=>12
[5,3,6,1,4,2]=>[[1,3],[2,5],[4,6]]=>2
[5,3,6,2,1,4]=>[[1,3],[2,6],[4],[5]]=>5
[5,3,6,2,4,1]=>[[1,3],[2,5],[4],[6]]=>5
[5,3,6,4,1,2]=>[[1,3],[2,4],[5,6]]=>3
[5,3,6,4,2,1]=>[[1,3],[2,4],[5],[6]]=>4
[5,4,1,2,3,6]=>[[1,4,5,6],[2],[3]]=>5
[5,4,1,2,6,3]=>[[1,4,5],[2,6],[3]]=>4
[5,4,1,3,2,6]=>[[1,4,6],[2],[3],[5]]=>5
[5,4,1,3,6,2]=>[[1,4,5],[2],[3],[6]]=>5
[5,4,1,6,2,3]=>[[1,4,6],[2,5],[3]]=>12
[5,4,1,6,3,2]=>[[1,4],[2,5],[3],[6]]=>4
[5,4,2,1,3,6]=>[[1,5,6],[2],[3],[4]]=>5
[5,4,2,1,6,3]=>[[1,5],[2,6],[3],[4]]=>4
[5,4,2,3,1,6]=>[[1,4,6],[2],[3],[5]]=>5
[5,4,2,3,6,1]=>[[1,4,5],[2],[3],[6]]=>5
[5,4,2,6,1,3]=>[[1,4],[2,6],[3],[5]]=>5
[5,4,2,6,3,1]=>[[1,4],[2,5],[3],[6]]=>4
[5,4,3,1,2,6]=>[[1,5,6],[2],[3],[4]]=>5
[5,4,3,1,6,2]=>[[1,5],[2,6],[3],[4]]=>4
[5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]]=>5
[5,4,3,2,6,1]=>[[1,5],[2],[3],[4],[6]]=>5
[5,4,3,6,1,2]=>[[1,4],[2,6],[3],[5]]=>5
[5,4,3,6,2,1]=>[[1,4],[2],[3],[5],[6]]=>5
[5,4,6,1,2,3]=>[[1,3,6],[2,5],[4]]=>12
[5,4,6,1,3,2]=>[[1,3],[2,5],[4],[6]]=>5
[5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5]]=>5
[5,4,6,2,3,1]=>[[1,3],[2,5],[4],[6]]=>5
[5,4,6,3,1,2]=>[[1,3],[2,6],[4],[5]]=>5
[5,4,6,3,2,1]=>[[1,3],[2],[4],[5],[6]]=>5
[5,6,1,2,3,4]=>[[1,2,5,6],[3,4]]=>4
[5,6,1,2,4,3]=>[[1,2,5],[3,4],[6]]=>12
[5,6,1,3,2,4]=>[[1,2,6],[3,4],[5]]=>12
[5,6,1,3,4,2]=>[[1,2,5],[3,4],[6]]=>12
[5,6,1,4,2,3]=>[[1,2,6],[3,4],[5]]=>12
[5,6,1,4,3,2]=>[[1,2],[3,4],[5],[6]]=>5
[5,6,2,1,3,4]=>[[1,2,6],[3,5],[4]]=>4
[5,6,2,1,4,3]=>[[1,2],[3,5],[4,6]]=>3
[5,6,2,3,1,4]=>[[1,2,6],[3,4],[5]]=>12
[5,6,2,3,4,1]=>[[1,2,5],[3,4],[6]]=>12
[5,6,2,4,1,3]=>[[1,2],[3,4],[5,6]]=>2
[5,6,2,4,3,1]=>[[1,2],[3,4],[5],[6]]=>5
[5,6,3,1,2,4]=>[[1,2,6],[3,5],[4]]=>4
[5,6,3,1,4,2]=>[[1,2],[3,5],[4,6]]=>3
[5,6,3,2,1,4]=>[[1,2],[3,6],[4],[5]]=>4
[5,6,3,2,4,1]=>[[1,2],[3,5],[4],[6]]=>5
[5,6,3,4,1,2]=>[[1,2],[3,4],[5,6]]=>2
[5,6,3,4,2,1]=>[[1,2],[3,4],[5],[6]]=>5
[5,6,4,1,2,3]=>[[1,2,6],[3,5],[4]]=>4
[5,6,4,1,3,2]=>[[1,2],[3,5],[4],[6]]=>5
[5,6,4,2,1,3]=>[[1,2],[3,6],[4],[5]]=>4
[5,6,4,2,3,1]=>[[1,2],[3,5],[4],[6]]=>5
[5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5]]=>4
[5,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6]]=>5
[6,1,2,3,4,5]=>[[1,3,4,5,6],[2]]=>5
[6,1,2,3,5,4]=>[[1,3,4,5],[2],[6]]=>5
[6,1,2,4,3,5]=>[[1,3,4,6],[2],[5]]=>5
[6,1,2,4,5,3]=>[[1,3,4,5],[2],[6]]=>5
[6,1,2,5,3,4]=>[[1,3,4,6],[2],[5]]=>5
[6,1,2,5,4,3]=>[[1,3,4],[2],[5],[6]]=>5
[6,1,3,2,4,5]=>[[1,3,5,6],[2],[4]]=>5
[6,1,3,2,5,4]=>[[1,3,5],[2,6],[4]]=>12
[6,1,3,4,2,5]=>[[1,3,4,6],[2],[5]]=>5
[6,1,3,4,5,2]=>[[1,3,4,5],[2],[6]]=>5
[6,1,3,5,2,4]=>[[1,3,4],[2,6],[5]]=>12
[6,1,3,5,4,2]=>[[1,3,4],[2],[5],[6]]=>5
[6,1,4,2,3,5]=>[[1,3,5,6],[2],[4]]=>5
[6,1,4,2,5,3]=>[[1,3,5],[2,6],[4]]=>12
[6,1,4,3,2,5]=>[[1,3,6],[2],[4],[5]]=>5
[6,1,4,3,5,2]=>[[1,3,5],[2],[4],[6]]=>5
[6,1,4,5,2,3]=>[[1,3,4],[2,6],[5]]=>12
[6,1,4,5,3,2]=>[[1,3,4],[2],[5],[6]]=>5
[6,1,5,2,3,4]=>[[1,3,5,6],[2],[4]]=>5
[6,1,5,2,4,3]=>[[1,3,5],[2],[4],[6]]=>5
[6,1,5,3,2,4]=>[[1,3,6],[2],[4],[5]]=>5
[6,1,5,3,4,2]=>[[1,3,5],[2],[4],[6]]=>5
[6,1,5,4,2,3]=>[[1,3,6],[2],[4],[5]]=>5
[6,1,5,4,3,2]=>[[1,3],[2],[4],[5],[6]]=>5
[6,2,1,3,4,5]=>[[1,4,5,6],[2],[3]]=>5
[6,2,1,3,5,4]=>[[1,4,5],[2,6],[3]]=>4
[6,2,1,4,3,5]=>[[1,4,6],[2,5],[3]]=>12
[6,2,1,4,5,3]=>[[1,4,5],[2,6],[3]]=>4
[6,2,1,5,3,4]=>[[1,4,6],[2,5],[3]]=>12
[6,2,1,5,4,3]=>[[1,4],[2,5],[3],[6]]=>4
[6,2,3,1,4,5]=>[[1,3,5,6],[2],[4]]=>5
[6,2,3,1,5,4]=>[[1,3,5],[2,6],[4]]=>12
[6,2,3,4,1,5]=>[[1,3,4,6],[2],[5]]=>5
[6,2,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>5
[6,2,3,5,1,4]=>[[1,3,4],[2,6],[5]]=>12
[6,2,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>5
[6,2,4,1,3,5]=>[[1,3,6],[2,5],[4]]=>12
[6,2,4,1,5,3]=>[[1,3,5],[2,6],[4]]=>12
[6,2,4,3,1,5]=>[[1,3,6],[2],[4],[5]]=>5
[6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>5
[6,2,4,5,1,3]=>[[1,3,4],[2,6],[5]]=>12
[6,2,4,5,3,1]=>[[1,3,4],[2],[5],[6]]=>5
[6,2,5,1,3,4]=>[[1,3,6],[2,5],[4]]=>12
[6,2,5,1,4,3]=>[[1,3],[2,5],[4],[6]]=>5
[6,2,5,3,1,4]=>[[1,3,6],[2],[4],[5]]=>5
[6,2,5,3,4,1]=>[[1,3,5],[2],[4],[6]]=>5
[6,2,5,4,1,3]=>[[1,3],[2,6],[4],[5]]=>5
[6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>5
[6,3,1,2,4,5]=>[[1,4,5,6],[2],[3]]=>5
[6,3,1,2,5,4]=>[[1,4,5],[2,6],[3]]=>4
[6,3,1,4,2,5]=>[[1,4,6],[2,5],[3]]=>12
[6,3,1,4,5,2]=>[[1,4,5],[2,6],[3]]=>4
[6,3,1,5,2,4]=>[[1,4,6],[2,5],[3]]=>12
[6,3,1,5,4,2]=>[[1,4],[2,5],[3],[6]]=>4
[6,3,2,1,4,5]=>[[1,5,6],[2],[3],[4]]=>5
[6,3,2,1,5,4]=>[[1,5],[2,6],[3],[4]]=>4
[6,3,2,4,1,5]=>[[1,4,6],[2],[3],[5]]=>5
[6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6]]=>5
[6,3,2,5,1,4]=>[[1,4],[2,6],[3],[5]]=>5
[6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>4
[6,3,4,1,2,5]=>[[1,3,6],[2,5],[4]]=>12
[6,3,4,1,5,2]=>[[1,3,5],[2,6],[4]]=>12
[6,3,4,2,1,5]=>[[1,3,6],[2],[4],[5]]=>5
[6,3,4,2,5,1]=>[[1,3,5],[2],[4],[6]]=>5
[6,3,4,5,1,2]=>[[1,3,4],[2,6],[5]]=>12
[6,3,4,5,2,1]=>[[1,3,4],[2],[5],[6]]=>5
[6,3,5,1,2,4]=>[[1,3,6],[2,5],[4]]=>12
[6,3,5,1,4,2]=>[[1,3],[2,5],[4],[6]]=>5
[6,3,5,2,1,4]=>[[1,3],[2,6],[4],[5]]=>5
[6,3,5,2,4,1]=>[[1,3],[2,5],[4],[6]]=>5
[6,3,5,4,1,2]=>[[1,3],[2,6],[4],[5]]=>5
[6,3,5,4,2,1]=>[[1,3],[2],[4],[5],[6]]=>5
[6,4,1,2,3,5]=>[[1,4,5,6],[2],[3]]=>5
[6,4,1,2,5,3]=>[[1,4,5],[2,6],[3]]=>4
[6,4,1,3,2,5]=>[[1,4,6],[2],[3],[5]]=>5
[6,4,1,3,5,2]=>[[1,4,5],[2],[3],[6]]=>5
[6,4,1,5,2,3]=>[[1,4,6],[2,5],[3]]=>12
[6,4,1,5,3,2]=>[[1,4],[2,5],[3],[6]]=>4
[6,4,2,1,3,5]=>[[1,5,6],[2],[3],[4]]=>5
[6,4,2,1,5,3]=>[[1,5],[2,6],[3],[4]]=>4
[6,4,2,3,1,5]=>[[1,4,6],[2],[3],[5]]=>5
[6,4,2,3,5,1]=>[[1,4,5],[2],[3],[6]]=>5
[6,4,2,5,1,3]=>[[1,4],[2,6],[3],[5]]=>5
[6,4,2,5,3,1]=>[[1,4],[2,5],[3],[6]]=>4
[6,4,3,1,2,5]=>[[1,5,6],[2],[3],[4]]=>5
[6,4,3,1,5,2]=>[[1,5],[2,6],[3],[4]]=>4
[6,4,3,2,1,5]=>[[1,6],[2],[3],[4],[5]]=>5
[6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6]]=>5
[6,4,3,5,1,2]=>[[1,4],[2,6],[3],[5]]=>5
[6,4,3,5,2,1]=>[[1,4],[2],[3],[5],[6]]=>5
[6,4,5,1,2,3]=>[[1,3,6],[2,5],[4]]=>12
[6,4,5,1,3,2]=>[[1,3],[2,5],[4],[6]]=>5
[6,4,5,2,1,3]=>[[1,3],[2,6],[4],[5]]=>5
[6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>5
[6,4,5,3,1,2]=>[[1,3],[2,6],[4],[5]]=>5
[6,4,5,3,2,1]=>[[1,3],[2],[4],[5],[6]]=>5
[6,5,1,2,3,4]=>[[1,4,5,6],[2],[3]]=>5
[6,5,1,2,4,3]=>[[1,4,5],[2],[3],[6]]=>5
[6,5,1,3,2,4]=>[[1,4,6],[2],[3],[5]]=>5
[6,5,1,3,4,2]=>[[1,4,5],[2],[3],[6]]=>5
[6,5,1,4,2,3]=>[[1,4,6],[2],[3],[5]]=>5
[6,5,1,4,3,2]=>[[1,4],[2],[3],[5],[6]]=>5
[6,5,2,1,3,4]=>[[1,5,6],[2],[3],[4]]=>5
[6,5,2,1,4,3]=>[[1,5],[2,6],[3],[4]]=>4
[6,5,2,3,1,4]=>[[1,4,6],[2],[3],[5]]=>5
[6,5,2,3,4,1]=>[[1,4,5],[2],[3],[6]]=>5
[6,5,2,4,1,3]=>[[1,4],[2,6],[3],[5]]=>5
[6,5,2,4,3,1]=>[[1,4],[2],[3],[5],[6]]=>5
[6,5,3,1,2,4]=>[[1,5,6],[2],[3],[4]]=>5
[6,5,3,1,4,2]=>[[1,5],[2,6],[3],[4]]=>4
[6,5,3,2,1,4]=>[[1,6],[2],[3],[4],[5]]=>5
[6,5,3,2,4,1]=>[[1,5],[2],[3],[4],[6]]=>5
[6,5,3,4,1,2]=>[[1,4],[2,6],[3],[5]]=>5
[6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>5
[6,5,4,1,2,3]=>[[1,5,6],[2],[3],[4]]=>5
[6,5,4,1,3,2]=>[[1,5],[2],[3],[4],[6]]=>5
[6,5,4,2,1,3]=>[[1,6],[2],[3],[4],[5]]=>5
[6,5,4,2,3,1]=>[[1,5],[2],[3],[4],[6]]=>5
[6,5,4,3,1,2]=>[[1,6],[2],[3],[4],[5]]=>5
[6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6]]=>1
[1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7]]=>1
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Description
The orbit size of a standard tableau under promotion.
Map
Robinson-Schensted recording tableau
Description
Sends a permutation to its Robinson-Schensted recording 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 recording 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 recording tableau.
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