Identifier
-
Mp00070:
Permutations
—Robinson-Schensted recording tableau⟶
Standard tableaux
St000059: Standard tableaux ⟶ ℤ
Values
=>
Cc0007;cc-rep
[1]=>[[1]]=>0
[1,2]=>[[1,2]]=>0
[2,1]=>[[1],[2]]=>1
[1,2,3]=>[[1,2,3]]=>0
[1,3,2]=>[[1,2],[3]]=>2
[2,1,3]=>[[1,3],[2]]=>1
[2,3,1]=>[[1,2],[3]]=>2
[3,1,2]=>[[1,3],[2]]=>1
[3,2,1]=>[[1],[2],[3]]=>3
[1,2,3,4]=>[[1,2,3,4]]=>0
[1,2,4,3]=>[[1,2,3],[4]]=>3
[1,3,2,4]=>[[1,2,4],[3]]=>2
[1,3,4,2]=>[[1,2,3],[4]]=>3
[1,4,2,3]=>[[1,2,4],[3]]=>2
[1,4,3,2]=>[[1,2],[3],[4]]=>5
[2,1,3,4]=>[[1,3,4],[2]]=>1
[2,1,4,3]=>[[1,3],[2,4]]=>2
[2,3,1,4]=>[[1,2,4],[3]]=>2
[2,3,4,1]=>[[1,2,3],[4]]=>3
[2,4,1,3]=>[[1,2],[3,4]]=>4
[2,4,3,1]=>[[1,2],[3],[4]]=>5
[3,1,2,4]=>[[1,3,4],[2]]=>1
[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]]=>4
[3,4,1,2]=>[[1,2],[3,4]]=>4
[3,4,2,1]=>[[1,2],[3],[4]]=>5
[4,1,2,3]=>[[1,3,4],[2]]=>1
[4,1,3,2]=>[[1,3],[2],[4]]=>4
[4,2,1,3]=>[[1,4],[2],[3]]=>3
[4,2,3,1]=>[[1,3],[2],[4]]=>4
[4,3,1,2]=>[[1,4],[2],[3]]=>3
[4,3,2,1]=>[[1],[2],[3],[4]]=>6
[1,2,3,4,5]=>[[1,2,3,4,5]]=>0
[1,2,3,5,4]=>[[1,2,3,4],[5]]=>4
[1,2,4,3,5]=>[[1,2,3,5],[4]]=>3
[1,2,4,5,3]=>[[1,2,3,4],[5]]=>4
[1,2,5,3,4]=>[[1,2,3,5],[4]]=>3
[1,2,5,4,3]=>[[1,2,3],[4],[5]]=>7
[1,3,2,4,5]=>[[1,2,4,5],[3]]=>2
[1,3,2,5,4]=>[[1,2,4],[3,5]]=>5
[1,3,4,2,5]=>[[1,2,3,5],[4]]=>3
[1,3,4,5,2]=>[[1,2,3,4],[5]]=>4
[1,3,5,2,4]=>[[1,2,3],[4,5]]=>6
[1,3,5,4,2]=>[[1,2,3],[4],[5]]=>7
[1,4,2,3,5]=>[[1,2,4,5],[3]]=>2
[1,4,2,5,3]=>[[1,2,4],[3,5]]=>5
[1,4,3,2,5]=>[[1,2,5],[3],[4]]=>5
[1,4,3,5,2]=>[[1,2,4],[3],[5]]=>6
[1,4,5,2,3]=>[[1,2,3],[4,5]]=>6
[1,4,5,3,2]=>[[1,2,3],[4],[5]]=>7
[1,5,2,3,4]=>[[1,2,4,5],[3]]=>2
[1,5,2,4,3]=>[[1,2,4],[3],[5]]=>6
[1,5,3,2,4]=>[[1,2,5],[3],[4]]=>5
[1,5,3,4,2]=>[[1,2,4],[3],[5]]=>6
[1,5,4,2,3]=>[[1,2,5],[3],[4]]=>5
[1,5,4,3,2]=>[[1,2],[3],[4],[5]]=>9
[2,1,3,4,5]=>[[1,3,4,5],[2]]=>1
[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]]=>6
[2,3,1,4,5]=>[[1,2,4,5],[3]]=>2
[2,3,1,5,4]=>[[1,2,4],[3,5]]=>5
[2,3,4,1,5]=>[[1,2,3,5],[4]]=>3
[2,3,4,5,1]=>[[1,2,3,4],[5]]=>4
[2,3,5,1,4]=>[[1,2,3],[4,5]]=>6
[2,3,5,4,1]=>[[1,2,3],[4],[5]]=>7
[2,4,1,3,5]=>[[1,2,5],[3,4]]=>4
[2,4,1,5,3]=>[[1,2,4],[3,5]]=>5
[2,4,3,1,5]=>[[1,2,5],[3],[4]]=>5
[2,4,3,5,1]=>[[1,2,4],[3],[5]]=>6
[2,4,5,1,3]=>[[1,2,3],[4,5]]=>6
[2,4,5,3,1]=>[[1,2,3],[4],[5]]=>7
[2,5,1,3,4]=>[[1,2,5],[3,4]]=>4
[2,5,1,4,3]=>[[1,2],[3,4],[5]]=>8
[2,5,3,1,4]=>[[1,2,5],[3],[4]]=>5
[2,5,3,4,1]=>[[1,2,4],[3],[5]]=>6
[2,5,4,1,3]=>[[1,2],[3,5],[4]]=>7
[2,5,4,3,1]=>[[1,2],[3],[4],[5]]=>9
[3,1,2,4,5]=>[[1,3,4,5],[2]]=>1
[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]]=>6
[3,2,1,4,5]=>[[1,4,5],[2],[3]]=>3
[3,2,1,5,4]=>[[1,4],[2,5],[3]]=>4
[3,2,4,1,5]=>[[1,3,5],[2],[4]]=>4
[3,2,4,5,1]=>[[1,3,4],[2],[5]]=>5
[3,2,5,1,4]=>[[1,3],[2,5],[4]]=>5
[3,2,5,4,1]=>[[1,3],[2,4],[5]]=>6
[3,4,1,2,5]=>[[1,2,5],[3,4]]=>4
[3,4,1,5,2]=>[[1,2,4],[3,5]]=>5
[3,4,2,1,5]=>[[1,2,5],[3],[4]]=>5
[3,4,2,5,1]=>[[1,2,4],[3],[5]]=>6
[3,4,5,1,2]=>[[1,2,3],[4,5]]=>6
[3,4,5,2,1]=>[[1,2,3],[4],[5]]=>7
[3,5,1,2,4]=>[[1,2,5],[3,4]]=>4
[3,5,1,4,2]=>[[1,2],[3,4],[5]]=>8
[3,5,2,1,4]=>[[1,2],[3,5],[4]]=>7
[3,5,2,4,1]=>[[1,2],[3,4],[5]]=>8
[3,5,4,1,2]=>[[1,2],[3,5],[4]]=>7
[3,5,4,2,1]=>[[1,2],[3],[4],[5]]=>9
[4,1,2,3,5]=>[[1,3,4,5],[2]]=>1
[4,1,2,5,3]=>[[1,3,4],[2,5]]=>3
[4,1,3,2,5]=>[[1,3,5],[2],[4]]=>4
[4,1,3,5,2]=>[[1,3,4],[2],[5]]=>5
[4,1,5,2,3]=>[[1,3,5],[2,4]]=>2
[4,1,5,3,2]=>[[1,3],[2,4],[5]]=>6
[4,2,1,3,5]=>[[1,4,5],[2],[3]]=>3
[4,2,1,5,3]=>[[1,4],[2,5],[3]]=>4
[4,2,3,1,5]=>[[1,3,5],[2],[4]]=>4
[4,2,3,5,1]=>[[1,3,4],[2],[5]]=>5
[4,2,5,1,3]=>[[1,3],[2,5],[4]]=>5
[4,2,5,3,1]=>[[1,3],[2,4],[5]]=>6
[4,3,1,2,5]=>[[1,4,5],[2],[3]]=>3
[4,3,1,5,2]=>[[1,4],[2,5],[3]]=>4
[4,3,2,1,5]=>[[1,5],[2],[3],[4]]=>6
[4,3,2,5,1]=>[[1,4],[2],[3],[5]]=>7
[4,3,5,1,2]=>[[1,3],[2,5],[4]]=>5
[4,3,5,2,1]=>[[1,3],[2],[4],[5]]=>8
[4,5,1,2,3]=>[[1,2,5],[3,4]]=>4
[4,5,1,3,2]=>[[1,2],[3,4],[5]]=>8
[4,5,2,1,3]=>[[1,2],[3,5],[4]]=>7
[4,5,2,3,1]=>[[1,2],[3,4],[5]]=>8
[4,5,3,1,2]=>[[1,2],[3,5],[4]]=>7
[4,5,3,2,1]=>[[1,2],[3],[4],[5]]=>9
[5,1,2,3,4]=>[[1,3,4,5],[2]]=>1
[5,1,2,4,3]=>[[1,3,4],[2],[5]]=>5
[5,1,3,2,4]=>[[1,3,5],[2],[4]]=>4
[5,1,3,4,2]=>[[1,3,4],[2],[5]]=>5
[5,1,4,2,3]=>[[1,3,5],[2],[4]]=>4
[5,1,4,3,2]=>[[1,3],[2],[4],[5]]=>8
[5,2,1,3,4]=>[[1,4,5],[2],[3]]=>3
[5,2,1,4,3]=>[[1,4],[2,5],[3]]=>4
[5,2,3,1,4]=>[[1,3,5],[2],[4]]=>4
[5,2,3,4,1]=>[[1,3,4],[2],[5]]=>5
[5,2,4,1,3]=>[[1,3],[2,5],[4]]=>5
[5,2,4,3,1]=>[[1,3],[2],[4],[5]]=>8
[5,3,1,2,4]=>[[1,4,5],[2],[3]]=>3
[5,3,1,4,2]=>[[1,4],[2,5],[3]]=>4
[5,3,2,1,4]=>[[1,5],[2],[3],[4]]=>6
[5,3,2,4,1]=>[[1,4],[2],[3],[5]]=>7
[5,3,4,1,2]=>[[1,3],[2,5],[4]]=>5
[5,3,4,2,1]=>[[1,3],[2],[4],[5]]=>8
[5,4,1,2,3]=>[[1,4,5],[2],[3]]=>3
[5,4,1,3,2]=>[[1,4],[2],[3],[5]]=>7
[5,4,2,1,3]=>[[1,5],[2],[3],[4]]=>6
[5,4,2,3,1]=>[[1,4],[2],[3],[5]]=>7
[5,4,3,1,2]=>[[1,5],[2],[3],[4]]=>6
[5,4,3,2,1]=>[[1],[2],[3],[4],[5]]=>10
[1,2,3,4,5,6]=>[[1,2,3,4,5,6]]=>0
[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]]=>4
[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]]=>4
[1,2,3,6,5,4]=>[[1,2,3,4],[5],[6]]=>9
[1,2,4,3,5,6]=>[[1,2,3,5,6],[4]]=>3
[1,2,4,3,6,5]=>[[1,2,3,5],[4,6]]=>7
[1,2,4,5,3,6]=>[[1,2,3,4,6],[5]]=>4
[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]]=>8
[1,2,4,6,5,3]=>[[1,2,3,4],[5],[6]]=>9
[1,2,5,3,4,6]=>[[1,2,3,5,6],[4]]=>3
[1,2,5,3,6,4]=>[[1,2,3,5],[4,6]]=>7
[1,2,5,4,3,6]=>[[1,2,3,6],[4],[5]]=>7
[1,2,5,4,6,3]=>[[1,2,3,5],[4],[6]]=>8
[1,2,5,6,3,4]=>[[1,2,3,4],[5,6]]=>8
[1,2,5,6,4,3]=>[[1,2,3,4],[5],[6]]=>9
[1,2,6,3,4,5]=>[[1,2,3,5,6],[4]]=>3
[1,2,6,3,5,4]=>[[1,2,3,5],[4],[6]]=>8
[1,2,6,4,3,5]=>[[1,2,3,6],[4],[5]]=>7
[1,2,6,4,5,3]=>[[1,2,3,5],[4],[6]]=>8
[1,2,6,5,3,4]=>[[1,2,3,6],[4],[5]]=>7
[1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6]]=>12
[1,3,2,4,5,6]=>[[1,2,4,5,6],[3]]=>2
[1,3,2,4,6,5]=>[[1,2,4,5],[3,6]]=>6
[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]]=>6
[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]]=>10
[1,3,4,2,5,6]=>[[1,2,3,5,6],[4]]=>3
[1,3,4,2,6,5]=>[[1,2,3,5],[4,6]]=>7
[1,3,4,5,2,6]=>[[1,2,3,4,6],[5]]=>4
[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]]=>8
[1,3,4,6,5,2]=>[[1,2,3,4],[5],[6]]=>9
[1,3,5,2,4,6]=>[[1,2,3,6],[4,5]]=>6
[1,3,5,2,6,4]=>[[1,2,3,5],[4,6]]=>7
[1,3,5,4,2,6]=>[[1,2,3,6],[4],[5]]=>7
[1,3,5,4,6,2]=>[[1,2,3,5],[4],[6]]=>8
[1,3,5,6,2,4]=>[[1,2,3,4],[5,6]]=>8
[1,3,5,6,4,2]=>[[1,2,3,4],[5],[6]]=>9
[1,3,6,2,4,5]=>[[1,2,3,6],[4,5]]=>6
[1,3,6,2,5,4]=>[[1,2,3],[4,5],[6]]=>11
[1,3,6,4,2,5]=>[[1,2,3,6],[4],[5]]=>7
[1,3,6,4,5,2]=>[[1,2,3,5],[4],[6]]=>8
[1,3,6,5,2,4]=>[[1,2,3],[4,6],[5]]=>10
[1,3,6,5,4,2]=>[[1,2,3],[4],[5],[6]]=>12
[1,4,2,3,5,6]=>[[1,2,4,5,6],[3]]=>2
[1,4,2,3,6,5]=>[[1,2,4,5],[3,6]]=>6
[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]]=>6
[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]]=>10
[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]]=>8
[1,4,3,5,2,6]=>[[1,2,4,6],[3],[5]]=>6
[1,4,3,5,6,2]=>[[1,2,4,5],[3],[6]]=>7
[1,4,3,6,2,5]=>[[1,2,4],[3,6],[5]]=>9
[1,4,3,6,5,2]=>[[1,2,4],[3,5],[6]]=>10
[1,4,5,2,3,6]=>[[1,2,3,6],[4,5]]=>6
[1,4,5,2,6,3]=>[[1,2,3,5],[4,6]]=>7
[1,4,5,3,2,6]=>[[1,2,3,6],[4],[5]]=>7
[1,4,5,3,6,2]=>[[1,2,3,5],[4],[6]]=>8
[1,4,5,6,2,3]=>[[1,2,3,4],[5,6]]=>8
[1,4,5,6,3,2]=>[[1,2,3,4],[5],[6]]=>9
[1,4,6,2,3,5]=>[[1,2,3,6],[4,5]]=>6
[1,4,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>11
[1,4,6,3,2,5]=>[[1,2,3],[4,6],[5]]=>10
[1,4,6,3,5,2]=>[[1,2,3],[4,5],[6]]=>11
[1,4,6,5,2,3]=>[[1,2,3],[4,6],[5]]=>10
[1,4,6,5,3,2]=>[[1,2,3],[4],[5],[6]]=>12
[1,5,2,3,4,6]=>[[1,2,4,5,6],[3]]=>2
[1,5,2,3,6,4]=>[[1,2,4,5],[3,6]]=>6
[1,5,2,4,3,6]=>[[1,2,4,6],[3],[5]]=>6
[1,5,2,4,6,3]=>[[1,2,4,5],[3],[6]]=>7
[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]]=>10
[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]]=>8
[1,5,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>6
[1,5,3,4,6,2]=>[[1,2,4,5],[3],[6]]=>7
[1,5,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>9
[1,5,3,6,4,2]=>[[1,2,4],[3,5],[6]]=>10
[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]]=>8
[1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>9
[1,5,4,3,6,2]=>[[1,2,5],[3],[4],[6]]=>10
[1,5,4,6,2,3]=>[[1,2,4],[3,6],[5]]=>9
[1,5,4,6,3,2]=>[[1,2,4],[3],[5],[6]]=>11
[1,5,6,2,3,4]=>[[1,2,3,6],[4,5]]=>6
[1,5,6,2,4,3]=>[[1,2,3],[4,5],[6]]=>11
[1,5,6,3,2,4]=>[[1,2,3],[4,6],[5]]=>10
[1,5,6,3,4,2]=>[[1,2,3],[4,5],[6]]=>11
[1,5,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>10
[1,5,6,4,3,2]=>[[1,2,3],[4],[5],[6]]=>12
[1,6,2,3,4,5]=>[[1,2,4,5,6],[3]]=>2
[1,6,2,3,5,4]=>[[1,2,4,5],[3],[6]]=>7
[1,6,2,4,3,5]=>[[1,2,4,6],[3],[5]]=>6
[1,6,2,4,5,3]=>[[1,2,4,5],[3],[6]]=>7
[1,6,2,5,3,4]=>[[1,2,4,6],[3],[5]]=>6
[1,6,2,5,4,3]=>[[1,2,4],[3],[5],[6]]=>11
[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]]=>8
[1,6,3,4,2,5]=>[[1,2,4,6],[3],[5]]=>6
[1,6,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>7
[1,6,3,5,2,4]=>[[1,2,4],[3,6],[5]]=>9
[1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>11
[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]]=>8
[1,6,4,3,2,5]=>[[1,2,6],[3],[4],[5]]=>9
[1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>10
[1,6,4,5,2,3]=>[[1,2,4],[3,6],[5]]=>9
[1,6,4,5,3,2]=>[[1,2,4],[3],[5],[6]]=>11
[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]]=>10
[1,6,5,3,2,4]=>[[1,2,6],[3],[4],[5]]=>9
[1,6,5,3,4,2]=>[[1,2,5],[3],[4],[6]]=>10
[1,6,5,4,2,3]=>[[1,2,6],[3],[4],[5]]=>9
[1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>14
[2,1,3,4,5,6]=>[[1,3,4,5,6],[2]]=>1
[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]]=>3
[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]]=>3
[2,1,3,6,5,4]=>[[1,3,4],[2,5],[6]]=>8
[2,1,4,3,5,6]=>[[1,3,5,6],[2,4]]=>2
[2,1,4,3,6,5]=>[[1,3,5],[2,4,6]]=>3
[2,1,4,5,3,6]=>[[1,3,4,6],[2,5]]=>3
[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]]=>5
[2,1,4,6,5,3]=>[[1,3,4],[2,5],[6]]=>8
[2,1,5,3,4,6]=>[[1,3,5,6],[2,4]]=>2
[2,1,5,3,6,4]=>[[1,3,5],[2,4,6]]=>3
[2,1,5,4,3,6]=>[[1,3,6],[2,4],[5]]=>6
[2,1,5,4,6,3]=>[[1,3,5],[2,4],[6]]=>7
[2,1,5,6,3,4]=>[[1,3,4],[2,5,6]]=>5
[2,1,5,6,4,3]=>[[1,3,4],[2,5],[6]]=>8
[2,1,6,3,4,5]=>[[1,3,5,6],[2,4]]=>2
[2,1,6,3,5,4]=>[[1,3,5],[2,4],[6]]=>7
[2,1,6,4,3,5]=>[[1,3,6],[2,4],[5]]=>6
[2,1,6,4,5,3]=>[[1,3,5],[2,4],[6]]=>7
[2,1,6,5,3,4]=>[[1,3,6],[2,4],[5]]=>6
[2,1,6,5,4,3]=>[[1,3],[2,4],[5],[6]]=>11
[2,3,1,4,5,6]=>[[1,2,4,5,6],[3]]=>2
[2,3,1,4,6,5]=>[[1,2,4,5],[3,6]]=>6
[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]]=>6
[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]]=>10
[2,3,4,1,5,6]=>[[1,2,3,5,6],[4]]=>3
[2,3,4,1,6,5]=>[[1,2,3,5],[4,6]]=>7
[2,3,4,5,1,6]=>[[1,2,3,4,6],[5]]=>4
[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]]=>8
[2,3,4,6,5,1]=>[[1,2,3,4],[5],[6]]=>9
[2,3,5,1,4,6]=>[[1,2,3,6],[4,5]]=>6
[2,3,5,1,6,4]=>[[1,2,3,5],[4,6]]=>7
[2,3,5,4,1,6]=>[[1,2,3,6],[4],[5]]=>7
[2,3,5,4,6,1]=>[[1,2,3,5],[4],[6]]=>8
[2,3,5,6,1,4]=>[[1,2,3,4],[5,6]]=>8
[2,3,5,6,4,1]=>[[1,2,3,4],[5],[6]]=>9
[2,3,6,1,4,5]=>[[1,2,3,6],[4,5]]=>6
[2,3,6,1,5,4]=>[[1,2,3],[4,5],[6]]=>11
[2,3,6,4,1,5]=>[[1,2,3,6],[4],[5]]=>7
[2,3,6,4,5,1]=>[[1,2,3,5],[4],[6]]=>8
[2,3,6,5,1,4]=>[[1,2,3],[4,6],[5]]=>10
[2,3,6,5,4,1]=>[[1,2,3],[4],[5],[6]]=>12
[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]]=>5
[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]]=>6
[2,4,1,6,3,5]=>[[1,2,4],[3,5,6]]=>8
[2,4,1,6,5,3]=>[[1,2,4],[3,5],[6]]=>10
[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]]=>8
[2,4,3,5,1,6]=>[[1,2,4,6],[3],[5]]=>6
[2,4,3,5,6,1]=>[[1,2,4,5],[3],[6]]=>7
[2,4,3,6,1,5]=>[[1,2,4],[3,6],[5]]=>9
[2,4,3,6,5,1]=>[[1,2,4],[3,5],[6]]=>10
[2,4,5,1,3,6]=>[[1,2,3,6],[4,5]]=>6
[2,4,5,1,6,3]=>[[1,2,3,5],[4,6]]=>7
[2,4,5,3,1,6]=>[[1,2,3,6],[4],[5]]=>7
[2,4,5,3,6,1]=>[[1,2,3,5],[4],[6]]=>8
[2,4,5,6,1,3]=>[[1,2,3,4],[5,6]]=>8
[2,4,5,6,3,1]=>[[1,2,3,4],[5],[6]]=>9
[2,4,6,1,3,5]=>[[1,2,3],[4,5,6]]=>9
[2,4,6,1,5,3]=>[[1,2,3],[4,5],[6]]=>11
[2,4,6,3,1,5]=>[[1,2,3],[4,6],[5]]=>10
[2,4,6,3,5,1]=>[[1,2,3],[4,5],[6]]=>11
[2,4,6,5,1,3]=>[[1,2,3],[4,6],[5]]=>10
[2,4,6,5,3,1]=>[[1,2,3],[4],[5],[6]]=>12
[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]]=>5
[2,5,1,4,3,6]=>[[1,2,6],[3,4],[5]]=>8
[2,5,1,4,6,3]=>[[1,2,5],[3,4],[6]]=>9
[2,5,1,6,3,4]=>[[1,2,4],[3,5,6]]=>8
[2,5,1,6,4,3]=>[[1,2,4],[3,5],[6]]=>10
[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]]=>8
[2,5,3,4,1,6]=>[[1,2,4,6],[3],[5]]=>6
[2,5,3,4,6,1]=>[[1,2,4,5],[3],[6]]=>7
[2,5,3,6,1,4]=>[[1,2,4],[3,6],[5]]=>9
[2,5,3,6,4,1]=>[[1,2,4],[3,5],[6]]=>10
[2,5,4,1,3,6]=>[[1,2,6],[3,5],[4]]=>7
[2,5,4,1,6,3]=>[[1,2,5],[3,6],[4]]=>8
[2,5,4,3,1,6]=>[[1,2,6],[3],[4],[5]]=>9
[2,5,4,3,6,1]=>[[1,2,5],[3],[4],[6]]=>10
[2,5,4,6,1,3]=>[[1,2,4],[3,6],[5]]=>9
[2,5,4,6,3,1]=>[[1,2,4],[3],[5],[6]]=>11
[2,5,6,1,3,4]=>[[1,2,3],[4,5,6]]=>9
[2,5,6,1,4,3]=>[[1,2,3],[4,5],[6]]=>11
[2,5,6,3,1,4]=>[[1,2,3],[4,6],[5]]=>10
[2,5,6,3,4,1]=>[[1,2,3],[4,5],[6]]=>11
[2,5,6,4,1,3]=>[[1,2,3],[4,6],[5]]=>10
[2,5,6,4,3,1]=>[[1,2,3],[4],[5],[6]]=>12
[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]]=>9
[2,6,1,4,3,5]=>[[1,2,6],[3,4],[5]]=>8
[2,6,1,4,5,3]=>[[1,2,5],[3,4],[6]]=>9
[2,6,1,5,3,4]=>[[1,2,6],[3,4],[5]]=>8
[2,6,1,5,4,3]=>[[1,2],[3,4],[5],[6]]=>13
[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]]=>8
[2,6,3,4,1,5]=>[[1,2,4,6],[3],[5]]=>6
[2,6,3,4,5,1]=>[[1,2,4,5],[3],[6]]=>7
[2,6,3,5,1,4]=>[[1,2,4],[3,6],[5]]=>9
[2,6,3,5,4,1]=>[[1,2,4],[3],[5],[6]]=>11
[2,6,4,1,3,5]=>[[1,2,6],[3,5],[4]]=>7
[2,6,4,1,5,3]=>[[1,2,5],[3,6],[4]]=>8
[2,6,4,3,1,5]=>[[1,2,6],[3],[4],[5]]=>9
[2,6,4,3,5,1]=>[[1,2,5],[3],[4],[6]]=>10
[2,6,4,5,1,3]=>[[1,2,4],[3,6],[5]]=>9
[2,6,4,5,3,1]=>[[1,2,4],[3],[5],[6]]=>11
[2,6,5,1,3,4]=>[[1,2,6],[3,5],[4]]=>7
[2,6,5,1,4,3]=>[[1,2],[3,5],[4],[6]]=>12
[2,6,5,3,1,4]=>[[1,2,6],[3],[4],[5]]=>9
[2,6,5,3,4,1]=>[[1,2,5],[3],[4],[6]]=>10
[2,6,5,4,1,3]=>[[1,2],[3,6],[4],[5]]=>11
[2,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6]]=>14
[3,1,2,4,5,6]=>[[1,3,4,5,6],[2]]=>1
[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]]=>3
[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]]=>3
[3,1,2,6,5,4]=>[[1,3,4],[2,5],[6]]=>8
[3,1,4,2,5,6]=>[[1,3,5,6],[2,4]]=>2
[3,1,4,2,6,5]=>[[1,3,5],[2,4,6]]=>3
[3,1,4,5,2,6]=>[[1,3,4,6],[2,5]]=>3
[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]]=>5
[3,1,4,6,5,2]=>[[1,3,4],[2,5],[6]]=>8
[3,1,5,2,4,6]=>[[1,3,5,6],[2,4]]=>2
[3,1,5,2,6,4]=>[[1,3,5],[2,4,6]]=>3
[3,1,5,4,2,6]=>[[1,3,6],[2,4],[5]]=>6
[3,1,5,4,6,2]=>[[1,3,5],[2,4],[6]]=>7
[3,1,5,6,2,4]=>[[1,3,4],[2,5,6]]=>5
[3,1,5,6,4,2]=>[[1,3,4],[2,5],[6]]=>8
[3,1,6,2,4,5]=>[[1,3,5,6],[2,4]]=>2
[3,1,6,2,5,4]=>[[1,3,5],[2,4],[6]]=>7
[3,1,6,4,2,5]=>[[1,3,6],[2,4],[5]]=>6
[3,1,6,4,5,2]=>[[1,3,5],[2,4],[6]]=>7
[3,1,6,5,2,4]=>[[1,3,6],[2,4],[5]]=>6
[3,1,6,5,4,2]=>[[1,3],[2,4],[5],[6]]=>11
[3,2,1,4,5,6]=>[[1,4,5,6],[2],[3]]=>3
[3,2,1,4,6,5]=>[[1,4,5],[2,6],[3]]=>5
[3,2,1,5,4,6]=>[[1,4,6],[2,5],[3]]=>4
[3,2,1,5,6,4]=>[[1,4,5],[2,6],[3]]=>5
[3,2,1,6,4,5]=>[[1,4,6],[2,5],[3]]=>4
[3,2,1,6,5,4]=>[[1,4],[2,5],[3,6]]=>6
[3,2,4,1,5,6]=>[[1,3,5,6],[2],[4]]=>4
[3,2,4,1,6,5]=>[[1,3,5],[2,6],[4]]=>6
[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]]=>6
[3,2,4,6,1,5]=>[[1,3,4],[2,6],[5]]=>7
[3,2,4,6,5,1]=>[[1,3,4],[2,5],[6]]=>8
[3,2,5,1,4,6]=>[[1,3,6],[2,5],[4]]=>5
[3,2,5,1,6,4]=>[[1,3,5],[2,6],[4]]=>6
[3,2,5,4,1,6]=>[[1,3,6],[2,4],[5]]=>6
[3,2,5,4,6,1]=>[[1,3,5],[2,4],[6]]=>7
[3,2,5,6,1,4]=>[[1,3,4],[2,6],[5]]=>7
[3,2,5,6,4,1]=>[[1,3,4],[2,5],[6]]=>8
[3,2,6,1,4,5]=>[[1,3,6],[2,5],[4]]=>5
[3,2,6,1,5,4]=>[[1,3],[2,5],[4,6]]=>7
[3,2,6,4,1,5]=>[[1,3,6],[2,4],[5]]=>6
[3,2,6,4,5,1]=>[[1,3,5],[2,4],[6]]=>7
[3,2,6,5,1,4]=>[[1,3],[2,4],[5,6]]=>10
[3,2,6,5,4,1]=>[[1,3],[2,4],[5],[6]]=>11
[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]]=>5
[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]]=>6
[3,4,1,6,2,5]=>[[1,2,4],[3,5,6]]=>8
[3,4,1,6,5,2]=>[[1,2,4],[3,5],[6]]=>10
[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]]=>8
[3,4,2,5,1,6]=>[[1,2,4,6],[3],[5]]=>6
[3,4,2,5,6,1]=>[[1,2,4,5],[3],[6]]=>7
[3,4,2,6,1,5]=>[[1,2,4],[3,6],[5]]=>9
[3,4,2,6,5,1]=>[[1,2,4],[3,5],[6]]=>10
[3,4,5,1,2,6]=>[[1,2,3,6],[4,5]]=>6
[3,4,5,1,6,2]=>[[1,2,3,5],[4,6]]=>7
[3,4,5,2,1,6]=>[[1,2,3,6],[4],[5]]=>7
[3,4,5,2,6,1]=>[[1,2,3,5],[4],[6]]=>8
[3,4,5,6,1,2]=>[[1,2,3,4],[5,6]]=>8
[3,4,5,6,2,1]=>[[1,2,3,4],[5],[6]]=>9
[3,4,6,1,2,5]=>[[1,2,3],[4,5,6]]=>9
[3,4,6,1,5,2]=>[[1,2,3],[4,5],[6]]=>11
[3,4,6,2,1,5]=>[[1,2,3],[4,6],[5]]=>10
[3,4,6,2,5,1]=>[[1,2,3],[4,5],[6]]=>11
[3,4,6,5,1,2]=>[[1,2,3],[4,6],[5]]=>10
[3,4,6,5,2,1]=>[[1,2,3],[4],[5],[6]]=>12
[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]]=>5
[3,5,1,4,2,6]=>[[1,2,6],[3,4],[5]]=>8
[3,5,1,4,6,2]=>[[1,2,5],[3,4],[6]]=>9
[3,5,1,6,2,4]=>[[1,2,4],[3,5,6]]=>8
[3,5,1,6,4,2]=>[[1,2,4],[3,5],[6]]=>10
[3,5,2,1,4,6]=>[[1,2,6],[3,5],[4]]=>7
[3,5,2,1,6,4]=>[[1,2,5],[3,6],[4]]=>8
[3,5,2,4,1,6]=>[[1,2,6],[3,4],[5]]=>8
[3,5,2,4,6,1]=>[[1,2,5],[3,4],[6]]=>9
[3,5,2,6,1,4]=>[[1,2,4],[3,6],[5]]=>9
[3,5,2,6,4,1]=>[[1,2,4],[3,5],[6]]=>10
[3,5,4,1,2,6]=>[[1,2,6],[3,5],[4]]=>7
[3,5,4,1,6,2]=>[[1,2,5],[3,6],[4]]=>8
[3,5,4,2,1,6]=>[[1,2,6],[3],[4],[5]]=>9
[3,5,4,2,6,1]=>[[1,2,5],[3],[4],[6]]=>10
[3,5,4,6,1,2]=>[[1,2,4],[3,6],[5]]=>9
[3,5,4,6,2,1]=>[[1,2,4],[3],[5],[6]]=>11
[3,5,6,1,2,4]=>[[1,2,3],[4,5,6]]=>9
[3,5,6,1,4,2]=>[[1,2,3],[4,5],[6]]=>11
[3,5,6,2,1,4]=>[[1,2,3],[4,6],[5]]=>10
[3,5,6,2,4,1]=>[[1,2,3],[4,5],[6]]=>11
[3,5,6,4,1,2]=>[[1,2,3],[4,6],[5]]=>10
[3,5,6,4,2,1]=>[[1,2,3],[4],[5],[6]]=>12
[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]]=>9
[3,6,1,4,2,5]=>[[1,2,6],[3,4],[5]]=>8
[3,6,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>9
[3,6,1,5,2,4]=>[[1,2,6],[3,4],[5]]=>8
[3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>13
[3,6,2,1,4,5]=>[[1,2,6],[3,5],[4]]=>7
[3,6,2,1,5,4]=>[[1,2],[3,5],[4,6]]=>10
[3,6,2,4,1,5]=>[[1,2,6],[3,4],[5]]=>8
[3,6,2,4,5,1]=>[[1,2,5],[3,4],[6]]=>9
[3,6,2,5,1,4]=>[[1,2],[3,4],[5,6]]=>12
[3,6,2,5,4,1]=>[[1,2],[3,4],[5],[6]]=>13
[3,6,4,1,2,5]=>[[1,2,6],[3,5],[4]]=>7
[3,6,4,1,5,2]=>[[1,2,5],[3,6],[4]]=>8
[3,6,4,2,1,5]=>[[1,2,6],[3],[4],[5]]=>9
[3,6,4,2,5,1]=>[[1,2,5],[3],[4],[6]]=>10
[3,6,4,5,1,2]=>[[1,2,4],[3,6],[5]]=>9
[3,6,4,5,2,1]=>[[1,2,4],[3],[5],[6]]=>11
[3,6,5,1,2,4]=>[[1,2,6],[3,5],[4]]=>7
[3,6,5,1,4,2]=>[[1,2],[3,5],[4],[6]]=>12
[3,6,5,2,1,4]=>[[1,2],[3,6],[4],[5]]=>11
[3,6,5,2,4,1]=>[[1,2],[3,5],[4],[6]]=>12
[3,6,5,4,1,2]=>[[1,2],[3,6],[4],[5]]=>11
[3,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6]]=>14
[4,1,2,3,5,6]=>[[1,3,4,5,6],[2]]=>1
[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]]=>3
[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]]=>3
[4,1,2,6,5,3]=>[[1,3,4],[2,5],[6]]=>8
[4,1,3,2,5,6]=>[[1,3,5,6],[2],[4]]=>4
[4,1,3,2,6,5]=>[[1,3,5],[2,6],[4]]=>6
[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]]=>6
[4,1,3,6,2,5]=>[[1,3,4],[2,6],[5]]=>7
[4,1,3,6,5,2]=>[[1,3,4],[2,5],[6]]=>8
[4,1,5,2,3,6]=>[[1,3,5,6],[2,4]]=>2
[4,1,5,2,6,3]=>[[1,3,5],[2,4,6]]=>3
[4,1,5,3,2,6]=>[[1,3,6],[2,4],[5]]=>6
[4,1,5,3,6,2]=>[[1,3,5],[2,4],[6]]=>7
[4,1,5,6,2,3]=>[[1,3,4],[2,5,6]]=>5
[4,1,5,6,3,2]=>[[1,3,4],[2,5],[6]]=>8
[4,1,6,2,3,5]=>[[1,3,5,6],[2,4]]=>2
[4,1,6,2,5,3]=>[[1,3,5],[2,4],[6]]=>7
[4,1,6,3,2,5]=>[[1,3,6],[2,4],[5]]=>6
[4,1,6,3,5,2]=>[[1,3,5],[2,4],[6]]=>7
[4,1,6,5,2,3]=>[[1,3,6],[2,4],[5]]=>6
[4,1,6,5,3,2]=>[[1,3],[2,4],[5],[6]]=>11
[4,2,1,3,5,6]=>[[1,4,5,6],[2],[3]]=>3
[4,2,1,3,6,5]=>[[1,4,5],[2,6],[3]]=>5
[4,2,1,5,3,6]=>[[1,4,6],[2,5],[3]]=>4
[4,2,1,5,6,3]=>[[1,4,5],[2,6],[3]]=>5
[4,2,1,6,3,5]=>[[1,4,6],[2,5],[3]]=>4
[4,2,1,6,5,3]=>[[1,4],[2,5],[3,6]]=>6
[4,2,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>4
[4,2,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>6
[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]]=>6
[4,2,3,6,1,5]=>[[1,3,4],[2,6],[5]]=>7
[4,2,3,6,5,1]=>[[1,3,4],[2,5],[6]]=>8
[4,2,5,1,3,6]=>[[1,3,6],[2,5],[4]]=>5
[4,2,5,1,6,3]=>[[1,3,5],[2,6],[4]]=>6
[4,2,5,3,1,6]=>[[1,3,6],[2,4],[5]]=>6
[4,2,5,3,6,1]=>[[1,3,5],[2,4],[6]]=>7
[4,2,5,6,1,3]=>[[1,3,4],[2,6],[5]]=>7
[4,2,5,6,3,1]=>[[1,3,4],[2,5],[6]]=>8
[4,2,6,1,3,5]=>[[1,3,6],[2,5],[4]]=>5
[4,2,6,1,5,3]=>[[1,3],[2,5],[4,6]]=>7
[4,2,6,3,1,5]=>[[1,3,6],[2,4],[5]]=>6
[4,2,6,3,5,1]=>[[1,3,5],[2,4],[6]]=>7
[4,2,6,5,1,3]=>[[1,3],[2,4],[5,6]]=>10
[4,2,6,5,3,1]=>[[1,3],[2,4],[5],[6]]=>11
[4,3,1,2,5,6]=>[[1,4,5,6],[2],[3]]=>3
[4,3,1,2,6,5]=>[[1,4,5],[2,6],[3]]=>5
[4,3,1,5,2,6]=>[[1,4,6],[2,5],[3]]=>4
[4,3,1,5,6,2]=>[[1,4,5],[2,6],[3]]=>5
[4,3,1,6,2,5]=>[[1,4,6],[2,5],[3]]=>4
[4,3,1,6,5,2]=>[[1,4],[2,5],[3,6]]=>6
[4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]]=>6
[4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4]]=>7
[4,3,2,5,1,6]=>[[1,4,6],[2],[3],[5]]=>7
[4,3,2,5,6,1]=>[[1,4,5],[2],[3],[6]]=>8
[4,3,2,6,1,5]=>[[1,4],[2,6],[3],[5]]=>8
[4,3,2,6,5,1]=>[[1,4],[2,5],[3],[6]]=>9
[4,3,5,1,2,6]=>[[1,3,6],[2,5],[4]]=>5
[4,3,5,1,6,2]=>[[1,3,5],[2,6],[4]]=>6
[4,3,5,2,1,6]=>[[1,3,6],[2],[4],[5]]=>8
[4,3,5,2,6,1]=>[[1,3,5],[2],[4],[6]]=>9
[4,3,5,6,1,2]=>[[1,3,4],[2,6],[5]]=>7
[4,3,5,6,2,1]=>[[1,3,4],[2],[5],[6]]=>10
[4,3,6,1,2,5]=>[[1,3,6],[2,5],[4]]=>5
[4,3,6,1,5,2]=>[[1,3],[2,5],[4,6]]=>7
[4,3,6,2,1,5]=>[[1,3],[2,6],[4],[5]]=>9
[4,3,6,2,5,1]=>[[1,3],[2,5],[4],[6]]=>10
[4,3,6,5,1,2]=>[[1,3],[2,4],[5,6]]=>10
[4,3,6,5,2,1]=>[[1,3],[2,4],[5],[6]]=>11
[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]]=>5
[4,5,1,3,2,6]=>[[1,2,6],[3,4],[5]]=>8
[4,5,1,3,6,2]=>[[1,2,5],[3,4],[6]]=>9
[4,5,1,6,2,3]=>[[1,2,4],[3,5,6]]=>8
[4,5,1,6,3,2]=>[[1,2,4],[3,5],[6]]=>10
[4,5,2,1,3,6]=>[[1,2,6],[3,5],[4]]=>7
[4,5,2,1,6,3]=>[[1,2,5],[3,6],[4]]=>8
[4,5,2,3,1,6]=>[[1,2,6],[3,4],[5]]=>8
[4,5,2,3,6,1]=>[[1,2,5],[3,4],[6]]=>9
[4,5,2,6,1,3]=>[[1,2,4],[3,6],[5]]=>9
[4,5,2,6,3,1]=>[[1,2,4],[3,5],[6]]=>10
[4,5,3,1,2,6]=>[[1,2,6],[3,5],[4]]=>7
[4,5,3,1,6,2]=>[[1,2,5],[3,6],[4]]=>8
[4,5,3,2,1,6]=>[[1,2,6],[3],[4],[5]]=>9
[4,5,3,2,6,1]=>[[1,2,5],[3],[4],[6]]=>10
[4,5,3,6,1,2]=>[[1,2,4],[3,6],[5]]=>9
[4,5,3,6,2,1]=>[[1,2,4],[3],[5],[6]]=>11
[4,5,6,1,2,3]=>[[1,2,3],[4,5,6]]=>9
[4,5,6,1,3,2]=>[[1,2,3],[4,5],[6]]=>11
[4,5,6,2,1,3]=>[[1,2,3],[4,6],[5]]=>10
[4,5,6,2,3,1]=>[[1,2,3],[4,5],[6]]=>11
[4,5,6,3,1,2]=>[[1,2,3],[4,6],[5]]=>10
[4,5,6,3,2,1]=>[[1,2,3],[4],[5],[6]]=>12
[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]]=>9
[4,6,1,3,2,5]=>[[1,2,6],[3,4],[5]]=>8
[4,6,1,3,5,2]=>[[1,2,5],[3,4],[6]]=>9
[4,6,1,5,2,3]=>[[1,2,6],[3,4],[5]]=>8
[4,6,1,5,3,2]=>[[1,2],[3,4],[5],[6]]=>13
[4,6,2,1,3,5]=>[[1,2,6],[3,5],[4]]=>7
[4,6,2,1,5,3]=>[[1,2],[3,5],[4,6]]=>10
[4,6,2,3,1,5]=>[[1,2,6],[3,4],[5]]=>8
[4,6,2,3,5,1]=>[[1,2,5],[3,4],[6]]=>9
[4,6,2,5,1,3]=>[[1,2],[3,4],[5,6]]=>12
[4,6,2,5,3,1]=>[[1,2],[3,4],[5],[6]]=>13
[4,6,3,1,2,5]=>[[1,2,6],[3,5],[4]]=>7
[4,6,3,1,5,2]=>[[1,2],[3,5],[4,6]]=>10
[4,6,3,2,1,5]=>[[1,2],[3,6],[4],[5]]=>11
[4,6,3,2,5,1]=>[[1,2],[3,5],[4],[6]]=>12
[4,6,3,5,1,2]=>[[1,2],[3,4],[5,6]]=>12
[4,6,3,5,2,1]=>[[1,2],[3,4],[5],[6]]=>13
[4,6,5,1,2,3]=>[[1,2,6],[3,5],[4]]=>7
[4,6,5,1,3,2]=>[[1,2],[3,5],[4],[6]]=>12
[4,6,5,2,1,3]=>[[1,2],[3,6],[4],[5]]=>11
[4,6,5,2,3,1]=>[[1,2],[3,5],[4],[6]]=>12
[4,6,5,3,1,2]=>[[1,2],[3,6],[4],[5]]=>11
[4,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6]]=>14
[5,1,2,3,4,6]=>[[1,3,4,5,6],[2]]=>1
[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]]=>6
[5,1,2,6,3,4]=>[[1,3,4,6],[2,5]]=>3
[5,1,2,6,4,3]=>[[1,3,4],[2,5],[6]]=>8
[5,1,3,2,4,6]=>[[1,3,5,6],[2],[4]]=>4
[5,1,3,2,6,4]=>[[1,3,5],[2,6],[4]]=>6
[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]]=>6
[5,1,3,6,2,4]=>[[1,3,4],[2,6],[5]]=>7
[5,1,3,6,4,2]=>[[1,3,4],[2,5],[6]]=>8
[5,1,4,2,3,6]=>[[1,3,5,6],[2],[4]]=>4
[5,1,4,2,6,3]=>[[1,3,5],[2,6],[4]]=>6
[5,1,4,3,2,6]=>[[1,3,6],[2],[4],[5]]=>8
[5,1,4,3,6,2]=>[[1,3,5],[2],[4],[6]]=>9
[5,1,4,6,2,3]=>[[1,3,4],[2,6],[5]]=>7
[5,1,4,6,3,2]=>[[1,3,4],[2],[5],[6]]=>10
[5,1,6,2,3,4]=>[[1,3,5,6],[2,4]]=>2
[5,1,6,2,4,3]=>[[1,3,5],[2,4],[6]]=>7
[5,1,6,3,2,4]=>[[1,3,6],[2,4],[5]]=>6
[5,1,6,3,4,2]=>[[1,3,5],[2,4],[6]]=>7
[5,1,6,4,2,3]=>[[1,3,6],[2,4],[5]]=>6
[5,1,6,4,3,2]=>[[1,3],[2,4],[5],[6]]=>11
[5,2,1,3,4,6]=>[[1,4,5,6],[2],[3]]=>3
[5,2,1,3,6,4]=>[[1,4,5],[2,6],[3]]=>5
[5,2,1,4,3,6]=>[[1,4,6],[2,5],[3]]=>4
[5,2,1,4,6,3]=>[[1,4,5],[2,6],[3]]=>5
[5,2,1,6,3,4]=>[[1,4,6],[2,5],[3]]=>4
[5,2,1,6,4,3]=>[[1,4],[2,5],[3,6]]=>6
[5,2,3,1,4,6]=>[[1,3,5,6],[2],[4]]=>4
[5,2,3,1,6,4]=>[[1,3,5],[2,6],[4]]=>6
[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]]=>6
[5,2,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>7
[5,2,3,6,4,1]=>[[1,3,4],[2,5],[6]]=>8
[5,2,4,1,3,6]=>[[1,3,6],[2,5],[4]]=>5
[5,2,4,1,6,3]=>[[1,3,5],[2,6],[4]]=>6
[5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>8
[5,2,4,3,6,1]=>[[1,3,5],[2],[4],[6]]=>9
[5,2,4,6,1,3]=>[[1,3,4],[2,6],[5]]=>7
[5,2,4,6,3,1]=>[[1,3,4],[2],[5],[6]]=>10
[5,2,6,1,3,4]=>[[1,3,6],[2,5],[4]]=>5
[5,2,6,1,4,3]=>[[1,3],[2,5],[4,6]]=>7
[5,2,6,3,1,4]=>[[1,3,6],[2,4],[5]]=>6
[5,2,6,3,4,1]=>[[1,3,5],[2,4],[6]]=>7
[5,2,6,4,1,3]=>[[1,3],[2,4],[5,6]]=>10
[5,2,6,4,3,1]=>[[1,3],[2,4],[5],[6]]=>11
[5,3,1,2,4,6]=>[[1,4,5,6],[2],[3]]=>3
[5,3,1,2,6,4]=>[[1,4,5],[2,6],[3]]=>5
[5,3,1,4,2,6]=>[[1,4,6],[2,5],[3]]=>4
[5,3,1,4,6,2]=>[[1,4,5],[2,6],[3]]=>5
[5,3,1,6,2,4]=>[[1,4,6],[2,5],[3]]=>4
[5,3,1,6,4,2]=>[[1,4],[2,5],[3,6]]=>6
[5,3,2,1,4,6]=>[[1,5,6],[2],[3],[4]]=>6
[5,3,2,1,6,4]=>[[1,5],[2,6],[3],[4]]=>7
[5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5]]=>7
[5,3,2,4,6,1]=>[[1,4,5],[2],[3],[6]]=>8
[5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5]]=>8
[5,3,2,6,4,1]=>[[1,4],[2,5],[3],[6]]=>9
[5,3,4,1,2,6]=>[[1,3,6],[2,5],[4]]=>5
[5,3,4,1,6,2]=>[[1,3,5],[2,6],[4]]=>6
[5,3,4,2,1,6]=>[[1,3,6],[2],[4],[5]]=>8
[5,3,4,2,6,1]=>[[1,3,5],[2],[4],[6]]=>9
[5,3,4,6,1,2]=>[[1,3,4],[2,6],[5]]=>7
[5,3,4,6,2,1]=>[[1,3,4],[2],[5],[6]]=>10
[5,3,6,1,2,4]=>[[1,3,6],[2,5],[4]]=>5
[5,3,6,1,4,2]=>[[1,3],[2,5],[4,6]]=>7
[5,3,6,2,1,4]=>[[1,3],[2,6],[4],[5]]=>9
[5,3,6,2,4,1]=>[[1,3],[2,5],[4],[6]]=>10
[5,3,6,4,1,2]=>[[1,3],[2,4],[5,6]]=>10
[5,3,6,4,2,1]=>[[1,3],[2,4],[5],[6]]=>11
[5,4,1,2,3,6]=>[[1,4,5,6],[2],[3]]=>3
[5,4,1,2,6,3]=>[[1,4,5],[2,6],[3]]=>5
[5,4,1,3,2,6]=>[[1,4,6],[2],[3],[5]]=>7
[5,4,1,3,6,2]=>[[1,4,5],[2],[3],[6]]=>8
[5,4,1,6,2,3]=>[[1,4,6],[2,5],[3]]=>4
[5,4,1,6,3,2]=>[[1,4],[2,5],[3],[6]]=>9
[5,4,2,1,3,6]=>[[1,5,6],[2],[3],[4]]=>6
[5,4,2,1,6,3]=>[[1,5],[2,6],[3],[4]]=>7
[5,4,2,3,1,6]=>[[1,4,6],[2],[3],[5]]=>7
[5,4,2,3,6,1]=>[[1,4,5],[2],[3],[6]]=>8
[5,4,2,6,1,3]=>[[1,4],[2,6],[3],[5]]=>8
[5,4,2,6,3,1]=>[[1,4],[2,5],[3],[6]]=>9
[5,4,3,1,2,6]=>[[1,5,6],[2],[3],[4]]=>6
[5,4,3,1,6,2]=>[[1,5],[2,6],[3],[4]]=>7
[5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]]=>10
[5,4,3,2,6,1]=>[[1,5],[2],[3],[4],[6]]=>11
[5,4,3,6,1,2]=>[[1,4],[2,6],[3],[5]]=>8
[5,4,3,6,2,1]=>[[1,4],[2],[3],[5],[6]]=>12
[5,4,6,1,2,3]=>[[1,3,6],[2,5],[4]]=>5
[5,4,6,1,3,2]=>[[1,3],[2,5],[4],[6]]=>10
[5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5]]=>9
[5,4,6,2,3,1]=>[[1,3],[2,5],[4],[6]]=>10
[5,4,6,3,1,2]=>[[1,3],[2,6],[4],[5]]=>9
[5,4,6,3,2,1]=>[[1,3],[2],[4],[5],[6]]=>13
[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]]=>9
[5,6,1,3,2,4]=>[[1,2,6],[3,4],[5]]=>8
[5,6,1,3,4,2]=>[[1,2,5],[3,4],[6]]=>9
[5,6,1,4,2,3]=>[[1,2,6],[3,4],[5]]=>8
[5,6,1,4,3,2]=>[[1,2],[3,4],[5],[6]]=>13
[5,6,2,1,3,4]=>[[1,2,6],[3,5],[4]]=>7
[5,6,2,1,4,3]=>[[1,2],[3,5],[4,6]]=>10
[5,6,2,3,1,4]=>[[1,2,6],[3,4],[5]]=>8
[5,6,2,3,4,1]=>[[1,2,5],[3,4],[6]]=>9
[5,6,2,4,1,3]=>[[1,2],[3,4],[5,6]]=>12
[5,6,2,4,3,1]=>[[1,2],[3,4],[5],[6]]=>13
[5,6,3,1,2,4]=>[[1,2,6],[3,5],[4]]=>7
[5,6,3,1,4,2]=>[[1,2],[3,5],[4,6]]=>10
[5,6,3,2,1,4]=>[[1,2],[3,6],[4],[5]]=>11
[5,6,3,2,4,1]=>[[1,2],[3,5],[4],[6]]=>12
[5,6,3,4,1,2]=>[[1,2],[3,4],[5,6]]=>12
[5,6,3,4,2,1]=>[[1,2],[3,4],[5],[6]]=>13
[5,6,4,1,2,3]=>[[1,2,6],[3,5],[4]]=>7
[5,6,4,1,3,2]=>[[1,2],[3,5],[4],[6]]=>12
[5,6,4,2,1,3]=>[[1,2],[3,6],[4],[5]]=>11
[5,6,4,2,3,1]=>[[1,2],[3,5],[4],[6]]=>12
[5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5]]=>11
[5,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6]]=>14
[6,1,2,3,4,5]=>[[1,3,4,5,6],[2]]=>1
[6,1,2,3,5,4]=>[[1,3,4,5],[2],[6]]=>6
[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]]=>6
[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]]=>10
[6,1,3,2,4,5]=>[[1,3,5,6],[2],[4]]=>4
[6,1,3,2,5,4]=>[[1,3,5],[2,6],[4]]=>6
[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]]=>6
[6,1,3,5,2,4]=>[[1,3,4],[2,6],[5]]=>7
[6,1,3,5,4,2]=>[[1,3,4],[2],[5],[6]]=>10
[6,1,4,2,3,5]=>[[1,3,5,6],[2],[4]]=>4
[6,1,4,2,5,3]=>[[1,3,5],[2,6],[4]]=>6
[6,1,4,3,2,5]=>[[1,3,6],[2],[4],[5]]=>8
[6,1,4,3,5,2]=>[[1,3,5],[2],[4],[6]]=>9
[6,1,4,5,2,3]=>[[1,3,4],[2,6],[5]]=>7
[6,1,4,5,3,2]=>[[1,3,4],[2],[5],[6]]=>10
[6,1,5,2,3,4]=>[[1,3,5,6],[2],[4]]=>4
[6,1,5,2,4,3]=>[[1,3,5],[2],[4],[6]]=>9
[6,1,5,3,2,4]=>[[1,3,6],[2],[4],[5]]=>8
[6,1,5,3,4,2]=>[[1,3,5],[2],[4],[6]]=>9
[6,1,5,4,2,3]=>[[1,3,6],[2],[4],[5]]=>8
[6,1,5,4,3,2]=>[[1,3],[2],[4],[5],[6]]=>13
[6,2,1,3,4,5]=>[[1,4,5,6],[2],[3]]=>3
[6,2,1,3,5,4]=>[[1,4,5],[2,6],[3]]=>5
[6,2,1,4,3,5]=>[[1,4,6],[2,5],[3]]=>4
[6,2,1,4,5,3]=>[[1,4,5],[2,6],[3]]=>5
[6,2,1,5,3,4]=>[[1,4,6],[2,5],[3]]=>4
[6,2,1,5,4,3]=>[[1,4],[2,5],[3],[6]]=>9
[6,2,3,1,4,5]=>[[1,3,5,6],[2],[4]]=>4
[6,2,3,1,5,4]=>[[1,3,5],[2,6],[4]]=>6
[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]]=>6
[6,2,3,5,1,4]=>[[1,3,4],[2,6],[5]]=>7
[6,2,3,5,4,1]=>[[1,3,4],[2],[5],[6]]=>10
[6,2,4,1,3,5]=>[[1,3,6],[2,5],[4]]=>5
[6,2,4,1,5,3]=>[[1,3,5],[2,6],[4]]=>6
[6,2,4,3,1,5]=>[[1,3,6],[2],[4],[5]]=>8
[6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>9
[6,2,4,5,1,3]=>[[1,3,4],[2,6],[5]]=>7
[6,2,4,5,3,1]=>[[1,3,4],[2],[5],[6]]=>10
[6,2,5,1,3,4]=>[[1,3,6],[2,5],[4]]=>5
[6,2,5,1,4,3]=>[[1,3],[2,5],[4],[6]]=>10
[6,2,5,3,1,4]=>[[1,3,6],[2],[4],[5]]=>8
[6,2,5,3,4,1]=>[[1,3,5],[2],[4],[6]]=>9
[6,2,5,4,1,3]=>[[1,3],[2,6],[4],[5]]=>9
[6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>13
[6,3,1,2,4,5]=>[[1,4,5,6],[2],[3]]=>3
[6,3,1,2,5,4]=>[[1,4,5],[2,6],[3]]=>5
[6,3,1,4,2,5]=>[[1,4,6],[2,5],[3]]=>4
[6,3,1,4,5,2]=>[[1,4,5],[2,6],[3]]=>5
[6,3,1,5,2,4]=>[[1,4,6],[2,5],[3]]=>4
[6,3,1,5,4,2]=>[[1,4],[2,5],[3],[6]]=>9
[6,3,2,1,4,5]=>[[1,5,6],[2],[3],[4]]=>6
[6,3,2,1,5,4]=>[[1,5],[2,6],[3],[4]]=>7
[6,3,2,4,1,5]=>[[1,4,6],[2],[3],[5]]=>7
[6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6]]=>8
[6,3,2,5,1,4]=>[[1,4],[2,6],[3],[5]]=>8
[6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>9
[6,3,4,1,2,5]=>[[1,3,6],[2,5],[4]]=>5
[6,3,4,1,5,2]=>[[1,3,5],[2,6],[4]]=>6
[6,3,4,2,1,5]=>[[1,3,6],[2],[4],[5]]=>8
[6,3,4,2,5,1]=>[[1,3,5],[2],[4],[6]]=>9
[6,3,4,5,1,2]=>[[1,3,4],[2,6],[5]]=>7
[6,3,4,5,2,1]=>[[1,3,4],[2],[5],[6]]=>10
[6,3,5,1,2,4]=>[[1,3,6],[2,5],[4]]=>5
[6,3,5,1,4,2]=>[[1,3],[2,5],[4],[6]]=>10
[6,3,5,2,1,4]=>[[1,3],[2,6],[4],[5]]=>9
[6,3,5,2,4,1]=>[[1,3],[2,5],[4],[6]]=>10
[6,3,5,4,1,2]=>[[1,3],[2,6],[4],[5]]=>9
[6,3,5,4,2,1]=>[[1,3],[2],[4],[5],[6]]=>13
[6,4,1,2,3,5]=>[[1,4,5,6],[2],[3]]=>3
[6,4,1,2,5,3]=>[[1,4,5],[2,6],[3]]=>5
[6,4,1,3,2,5]=>[[1,4,6],[2],[3],[5]]=>7
[6,4,1,3,5,2]=>[[1,4,5],[2],[3],[6]]=>8
[6,4,1,5,2,3]=>[[1,4,6],[2,5],[3]]=>4
[6,4,1,5,3,2]=>[[1,4],[2,5],[3],[6]]=>9
[6,4,2,1,3,5]=>[[1,5,6],[2],[3],[4]]=>6
[6,4,2,1,5,3]=>[[1,5],[2,6],[3],[4]]=>7
[6,4,2,3,1,5]=>[[1,4,6],[2],[3],[5]]=>7
[6,4,2,3,5,1]=>[[1,4,5],[2],[3],[6]]=>8
[6,4,2,5,1,3]=>[[1,4],[2,6],[3],[5]]=>8
[6,4,2,5,3,1]=>[[1,4],[2,5],[3],[6]]=>9
[6,4,3,1,2,5]=>[[1,5,6],[2],[3],[4]]=>6
[6,4,3,1,5,2]=>[[1,5],[2,6],[3],[4]]=>7
[6,4,3,2,1,5]=>[[1,6],[2],[3],[4],[5]]=>10
[6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6]]=>11
[6,4,3,5,1,2]=>[[1,4],[2,6],[3],[5]]=>8
[6,4,3,5,2,1]=>[[1,4],[2],[3],[5],[6]]=>12
[6,4,5,1,2,3]=>[[1,3,6],[2,5],[4]]=>5
[6,4,5,1,3,2]=>[[1,3],[2,5],[4],[6]]=>10
[6,4,5,2,1,3]=>[[1,3],[2,6],[4],[5]]=>9
[6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>10
[6,4,5,3,1,2]=>[[1,3],[2,6],[4],[5]]=>9
[6,4,5,3,2,1]=>[[1,3],[2],[4],[5],[6]]=>13
[6,5,1,2,3,4]=>[[1,4,5,6],[2],[3]]=>3
[6,5,1,2,4,3]=>[[1,4,5],[2],[3],[6]]=>8
[6,5,1,3,2,4]=>[[1,4,6],[2],[3],[5]]=>7
[6,5,1,3,4,2]=>[[1,4,5],[2],[3],[6]]=>8
[6,5,1,4,2,3]=>[[1,4,6],[2],[3],[5]]=>7
[6,5,1,4,3,2]=>[[1,4],[2],[3],[5],[6]]=>12
[6,5,2,1,3,4]=>[[1,5,6],[2],[3],[4]]=>6
[6,5,2,1,4,3]=>[[1,5],[2,6],[3],[4]]=>7
[6,5,2,3,1,4]=>[[1,4,6],[2],[3],[5]]=>7
[6,5,2,3,4,1]=>[[1,4,5],[2],[3],[6]]=>8
[6,5,2,4,1,3]=>[[1,4],[2,6],[3],[5]]=>8
[6,5,2,4,3,1]=>[[1,4],[2],[3],[5],[6]]=>12
[6,5,3,1,2,4]=>[[1,5,6],[2],[3],[4]]=>6
[6,5,3,1,4,2]=>[[1,5],[2,6],[3],[4]]=>7
[6,5,3,2,1,4]=>[[1,6],[2],[3],[4],[5]]=>10
[6,5,3,2,4,1]=>[[1,5],[2],[3],[4],[6]]=>11
[6,5,3,4,1,2]=>[[1,4],[2,6],[3],[5]]=>8
[6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>12
[6,5,4,1,2,3]=>[[1,5,6],[2],[3],[4]]=>6
[6,5,4,1,3,2]=>[[1,5],[2],[3],[4],[6]]=>11
[6,5,4,2,1,3]=>[[1,6],[2],[3],[4],[5]]=>10
[6,5,4,2,3,1]=>[[1,5],[2],[3],[4],[6]]=>11
[6,5,4,3,1,2]=>[[1,6],[2],[3],[4],[5]]=>10
[6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6]]=>15
[1,2,3,4,5,6,7]=>[[1,2,3,4,5,6,7]]=>0
[1,2,3,4,5,7,6]=>[[1,2,3,4,5,6],[7]]=>6
[1,2,3,4,6,5,7]=>[[1,2,3,4,5,7],[6]]=>5
[1,2,3,4,6,7,5]=>[[1,2,3,4,5,6],[7]]=>6
[1,2,3,4,7,5,6]=>[[1,2,3,4,5,7],[6]]=>5
[1,2,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7]]=>11
[1,2,3,5,4,6,7]=>[[1,2,3,4,6,7],[5]]=>4
[1,2,3,5,4,7,6]=>[[1,2,3,4,6],[5,7]]=>9
[1,2,3,5,6,4,7]=>[[1,2,3,4,5,7],[6]]=>5
[1,2,3,5,6,7,4]=>[[1,2,3,4,5,6],[7]]=>6
[1,2,3,5,7,4,6]=>[[1,2,3,4,5],[6,7]]=>10
[1,2,3,5,7,6,4]=>[[1,2,3,4,5],[6],[7]]=>11
[1,2,3,6,4,5,7]=>[[1,2,3,4,6,7],[5]]=>4
[1,2,3,6,4,7,5]=>[[1,2,3,4,6],[5,7]]=>9
[1,2,3,6,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>9
[1,2,3,6,5,7,4]=>[[1,2,3,4,6],[5],[7]]=>10
[1,2,3,6,7,4,5]=>[[1,2,3,4,5],[6,7]]=>10
[1,2,3,6,7,5,4]=>[[1,2,3,4,5],[6],[7]]=>11
[1,2,3,7,4,5,6]=>[[1,2,3,4,6,7],[5]]=>4
[1,2,3,7,4,6,5]=>[[1,2,3,4,6],[5],[7]]=>10
[1,2,3,7,5,4,6]=>[[1,2,3,4,7],[5],[6]]=>9
[1,2,3,7,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>10
[1,2,3,7,6,4,5]=>[[1,2,3,4,7],[5],[6]]=>9
[1,2,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>15
[1,2,4,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>3
[1,2,4,3,5,7,6]=>[[1,2,3,5,6],[4,7]]=>8
[1,2,4,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>7
[1,2,4,3,6,7,5]=>[[1,2,3,5,6],[4,7]]=>8
[1,2,4,3,7,5,6]=>[[1,2,3,5,7],[4,6]]=>7
[1,2,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>13
[1,2,4,5,3,6,7]=>[[1,2,3,4,6,7],[5]]=>4
[1,2,4,5,3,7,6]=>[[1,2,3,4,6],[5,7]]=>9
[1,2,4,5,6,3,7]=>[[1,2,3,4,5,7],[6]]=>5
[1,2,4,5,6,7,3]=>[[1,2,3,4,5,6],[7]]=>6
[1,2,4,5,7,3,6]=>[[1,2,3,4,5],[6,7]]=>10
[1,2,4,5,7,6,3]=>[[1,2,3,4,5],[6],[7]]=>11
[1,2,4,6,3,5,7]=>[[1,2,3,4,7],[5,6]]=>8
[1,2,4,6,3,7,5]=>[[1,2,3,4,6],[5,7]]=>9
[1,2,4,6,5,3,7]=>[[1,2,3,4,7],[5],[6]]=>9
[1,2,4,6,5,7,3]=>[[1,2,3,4,6],[5],[7]]=>10
[1,2,4,6,7,3,5]=>[[1,2,3,4,5],[6,7]]=>10
[1,2,4,6,7,5,3]=>[[1,2,3,4,5],[6],[7]]=>11
[1,2,4,7,3,5,6]=>[[1,2,3,4,7],[5,6]]=>8
[1,2,4,7,3,6,5]=>[[1,2,3,4],[5,6],[7]]=>14
[1,2,4,7,5,3,6]=>[[1,2,3,4,7],[5],[6]]=>9
[1,2,4,7,5,6,3]=>[[1,2,3,4,6],[5],[7]]=>10
[1,2,4,7,6,3,5]=>[[1,2,3,4],[5,7],[6]]=>13
[1,2,4,7,6,5,3]=>[[1,2,3,4],[5],[6],[7]]=>15
[1,2,5,3,4,6,7]=>[[1,2,3,5,6,7],[4]]=>3
[1,2,5,3,4,7,6]=>[[1,2,3,5,6],[4,7]]=>8
[1,2,5,3,6,4,7]=>[[1,2,3,5,7],[4,6]]=>7
[1,2,5,3,6,7,4]=>[[1,2,3,5,6],[4,7]]=>8
[1,2,5,3,7,4,6]=>[[1,2,3,5,7],[4,6]]=>7
[1,2,5,3,7,6,4]=>[[1,2,3,5],[4,6],[7]]=>13
[1,2,5,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>7
[1,2,5,4,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>11
[1,2,5,4,6,3,7]=>[[1,2,3,5,7],[4],[6]]=>8
[1,2,5,4,6,7,3]=>[[1,2,3,5,6],[4],[7]]=>9
[1,2,5,4,7,3,6]=>[[1,2,3,5],[4,7],[6]]=>12
[1,2,5,4,7,6,3]=>[[1,2,3,5],[4,6],[7]]=>13
[1,2,5,6,3,4,7]=>[[1,2,3,4,7],[5,6]]=>8
[1,2,5,6,3,7,4]=>[[1,2,3,4,6],[5,7]]=>9
[1,2,5,6,4,3,7]=>[[1,2,3,4,7],[5],[6]]=>9
[1,2,5,6,4,7,3]=>[[1,2,3,4,6],[5],[7]]=>10
[1,2,5,6,7,3,4]=>[[1,2,3,4,5],[6,7]]=>10
[1,2,5,6,7,4,3]=>[[1,2,3,4,5],[6],[7]]=>11
[1,2,5,7,3,4,6]=>[[1,2,3,4,7],[5,6]]=>8
[1,2,5,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>14
[1,2,5,7,4,3,6]=>[[1,2,3,4],[5,7],[6]]=>13
[1,2,5,7,4,6,3]=>[[1,2,3,4],[5,6],[7]]=>14
[1,2,5,7,6,3,4]=>[[1,2,3,4],[5,7],[6]]=>13
[1,2,5,7,6,4,3]=>[[1,2,3,4],[5],[6],[7]]=>15
[1,2,6,3,4,5,7]=>[[1,2,3,5,6,7],[4]]=>3
[1,2,6,3,4,7,5]=>[[1,2,3,5,6],[4,7]]=>8
[1,2,6,3,5,4,7]=>[[1,2,3,5,7],[4],[6]]=>8
[1,2,6,3,5,7,4]=>[[1,2,3,5,6],[4],[7]]=>9
[1,2,6,3,7,4,5]=>[[1,2,3,5,7],[4,6]]=>7
[1,2,6,3,7,5,4]=>[[1,2,3,5],[4,6],[7]]=>13
[1,2,6,4,3,5,7]=>[[1,2,3,6,7],[4],[5]]=>7
[1,2,6,4,3,7,5]=>[[1,2,3,6],[4,7],[5]]=>11
[1,2,6,4,5,3,7]=>[[1,2,3,5,7],[4],[6]]=>8
[1,2,6,4,5,7,3]=>[[1,2,3,5,6],[4],[7]]=>9
[1,2,6,4,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>12
[1,2,6,4,7,5,3]=>[[1,2,3,5],[4,6],[7]]=>13
[1,2,6,5,3,4,7]=>[[1,2,3,6,7],[4],[5]]=>7
[1,2,6,5,3,7,4]=>[[1,2,3,6],[4,7],[5]]=>11
[1,2,6,5,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>12
[1,2,6,5,4,7,3]=>[[1,2,3,6],[4],[5],[7]]=>13
[1,2,6,5,7,3,4]=>[[1,2,3,5],[4,7],[6]]=>12
[1,2,6,5,7,4,3]=>[[1,2,3,5],[4],[6],[7]]=>14
[1,2,6,7,3,4,5]=>[[1,2,3,4,7],[5,6]]=>8
[1,2,6,7,3,5,4]=>[[1,2,3,4],[5,6],[7]]=>14
[1,2,6,7,4,3,5]=>[[1,2,3,4],[5,7],[6]]=>13
[1,2,6,7,4,5,3]=>[[1,2,3,4],[5,6],[7]]=>14
[1,2,6,7,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>13
[1,2,6,7,5,4,3]=>[[1,2,3,4],[5],[6],[7]]=>15
[1,2,7,3,4,5,6]=>[[1,2,3,5,6,7],[4]]=>3
[1,2,7,3,4,6,5]=>[[1,2,3,5,6],[4],[7]]=>9
[1,2,7,3,5,4,6]=>[[1,2,3,5,7],[4],[6]]=>8
[1,2,7,3,5,6,4]=>[[1,2,3,5,6],[4],[7]]=>9
[1,2,7,3,6,4,5]=>[[1,2,3,5,7],[4],[6]]=>8
[1,2,7,3,6,5,4]=>[[1,2,3,5],[4],[6],[7]]=>14
[1,2,7,4,3,5,6]=>[[1,2,3,6,7],[4],[5]]=>7
[1,2,7,4,3,6,5]=>[[1,2,3,6],[4,7],[5]]=>11
[1,2,7,4,5,3,6]=>[[1,2,3,5,7],[4],[6]]=>8
[1,2,7,4,5,6,3]=>[[1,2,3,5,6],[4],[7]]=>9
[1,2,7,4,6,3,5]=>[[1,2,3,5],[4,7],[6]]=>12
[1,2,7,4,6,5,3]=>[[1,2,3,5],[4],[6],[7]]=>14
[1,2,7,5,3,4,6]=>[[1,2,3,6,7],[4],[5]]=>7
[1,2,7,5,3,6,4]=>[[1,2,3,6],[4,7],[5]]=>11
[1,2,7,5,4,3,6]=>[[1,2,3,7],[4],[5],[6]]=>12
[1,2,7,5,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>13
[1,2,7,5,6,3,4]=>[[1,2,3,5],[4,7],[6]]=>12
[1,2,7,5,6,4,3]=>[[1,2,3,5],[4],[6],[7]]=>14
[1,2,7,6,3,4,5]=>[[1,2,3,6,7],[4],[5]]=>7
[1,2,7,6,3,5,4]=>[[1,2,3,6],[4],[5],[7]]=>13
[1,2,7,6,4,3,5]=>[[1,2,3,7],[4],[5],[6]]=>12
[1,2,7,6,4,5,3]=>[[1,2,3,6],[4],[5],[7]]=>13
[1,2,7,6,5,3,4]=>[[1,2,3,7],[4],[5],[6]]=>12
[1,2,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>18
[1,3,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>2
[1,3,2,4,5,7,6]=>[[1,2,4,5,6],[3,7]]=>7
[1,3,2,4,6,5,7]=>[[1,2,4,5,7],[3,6]]=>6
[1,3,2,4,6,7,5]=>[[1,2,4,5,6],[3,7]]=>7
[1,3,2,4,7,5,6]=>[[1,2,4,5,7],[3,6]]=>6
[1,3,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>12
[1,3,2,5,4,6,7]=>[[1,2,4,6,7],[3,5]]=>5
[1,3,2,5,4,7,6]=>[[1,2,4,6],[3,5,7]]=>9
[1,3,2,5,6,4,7]=>[[1,2,4,5,7],[3,6]]=>6
[1,3,2,5,6,7,4]=>[[1,2,4,5,6],[3,7]]=>7
[1,3,2,5,7,4,6]=>[[1,2,4,5],[3,6,7]]=>10
[1,3,2,5,7,6,4]=>[[1,2,4,5],[3,6],[7]]=>12
[1,3,2,6,4,5,7]=>[[1,2,4,6,7],[3,5]]=>5
[1,3,2,6,4,7,5]=>[[1,2,4,6],[3,5,7]]=>9
[1,3,2,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>10
[1,3,2,6,5,7,4]=>[[1,2,4,6],[3,5],[7]]=>11
[1,3,2,6,7,4,5]=>[[1,2,4,5],[3,6,7]]=>10
[1,3,2,6,7,5,4]=>[[1,2,4,5],[3,6],[7]]=>12
[1,3,2,7,4,5,6]=>[[1,2,4,6,7],[3,5]]=>5
[1,3,2,7,4,6,5]=>[[1,2,4,6],[3,5],[7]]=>11
[1,3,2,7,5,4,6]=>[[1,2,4,7],[3,5],[6]]=>10
[1,3,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>11
[1,3,2,7,6,4,5]=>[[1,2,4,7],[3,5],[6]]=>10
[1,3,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>16
[1,3,4,2,5,6,7]=>[[1,2,3,5,6,7],[4]]=>3
[1,3,4,2,5,7,6]=>[[1,2,3,5,6],[4,7]]=>8
[1,3,4,2,6,5,7]=>[[1,2,3,5,7],[4,6]]=>7
[1,3,4,2,6,7,5]=>[[1,2,3,5,6],[4,7]]=>8
[1,3,4,2,7,5,6]=>[[1,2,3,5,7],[4,6]]=>7
[1,3,4,2,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>13
[1,3,4,5,2,6,7]=>[[1,2,3,4,6,7],[5]]=>4
[1,3,4,5,2,7,6]=>[[1,2,3,4,6],[5,7]]=>9
[1,3,4,5,6,2,7]=>[[1,2,3,4,5,7],[6]]=>5
[1,3,4,5,6,7,2]=>[[1,2,3,4,5,6],[7]]=>6
[1,3,4,5,7,2,6]=>[[1,2,3,4,5],[6,7]]=>10
[1,3,4,5,7,6,2]=>[[1,2,3,4,5],[6],[7]]=>11
[1,3,4,6,2,5,7]=>[[1,2,3,4,7],[5,6]]=>8
[1,3,4,6,2,7,5]=>[[1,2,3,4,6],[5,7]]=>9
[1,3,4,6,5,2,7]=>[[1,2,3,4,7],[5],[6]]=>9
[1,3,4,6,5,7,2]=>[[1,2,3,4,6],[5],[7]]=>10
[1,3,4,6,7,2,5]=>[[1,2,3,4,5],[6,7]]=>10
[1,3,4,6,7,5,2]=>[[1,2,3,4,5],[6],[7]]=>11
[1,3,4,7,2,5,6]=>[[1,2,3,4,7],[5,6]]=>8
[1,3,4,7,2,6,5]=>[[1,2,3,4],[5,6],[7]]=>14
[1,3,4,7,5,2,6]=>[[1,2,3,4,7],[5],[6]]=>9
[1,3,4,7,5,6,2]=>[[1,2,3,4,6],[5],[7]]=>10
[1,3,4,7,6,2,5]=>[[1,2,3,4],[5,7],[6]]=>13
[1,3,4,7,6,5,2]=>[[1,2,3,4],[5],[6],[7]]=>15
[1,3,5,2,4,6,7]=>[[1,2,3,6,7],[4,5]]=>6
[1,3,5,2,4,7,6]=>[[1,2,3,6],[4,5,7]]=>10
[1,3,5,2,6,4,7]=>[[1,2,3,5,7],[4,6]]=>7
[1,3,5,2,6,7,4]=>[[1,2,3,5,6],[4,7]]=>8
[1,3,5,2,7,4,6]=>[[1,2,3,5],[4,6,7]]=>11
[1,3,5,2,7,6,4]=>[[1,2,3,5],[4,6],[7]]=>13
[1,3,5,4,2,6,7]=>[[1,2,3,6,7],[4],[5]]=>7
[1,3,5,4,2,7,6]=>[[1,2,3,6],[4,7],[5]]=>11
[1,3,5,4,6,2,7]=>[[1,2,3,5,7],[4],[6]]=>8
[1,3,5,4,6,7,2]=>[[1,2,3,5,6],[4],[7]]=>9
[1,3,5,4,7,2,6]=>[[1,2,3,5],[4,7],[6]]=>12
[1,3,5,4,7,6,2]=>[[1,2,3,5],[4,6],[7]]=>13
[1,3,5,6,2,4,7]=>[[1,2,3,4,7],[5,6]]=>8
[1,3,5,6,2,7,4]=>[[1,2,3,4,6],[5,7]]=>9
[1,3,5,6,4,2,7]=>[[1,2,3,4,7],[5],[6]]=>9
[1,3,5,6,4,7,2]=>[[1,2,3,4,6],[5],[7]]=>10
[1,3,5,6,7,2,4]=>[[1,2,3,4,5],[6,7]]=>10
[1,3,5,6,7,4,2]=>[[1,2,3,4,5],[6],[7]]=>11
[1,3,5,7,2,4,6]=>[[1,2,3,4],[5,6,7]]=>12
[1,3,5,7,2,6,4]=>[[1,2,3,4],[5,6],[7]]=>14
[1,3,5,7,4,2,6]=>[[1,2,3,4],[5,7],[6]]=>13
[1,3,5,7,4,6,2]=>[[1,2,3,4],[5,6],[7]]=>14
[1,3,5,7,6,2,4]=>[[1,2,3,4],[5,7],[6]]=>13
[1,3,5,7,6,4,2]=>[[1,2,3,4],[5],[6],[7]]=>15
[1,3,6,2,4,5,7]=>[[1,2,3,6,7],[4,5]]=>6
[1,3,6,2,4,7,5]=>[[1,2,3,6],[4,5,7]]=>10
[1,3,6,2,5,4,7]=>[[1,2,3,7],[4,5],[6]]=>11
[1,3,6,2,5,7,4]=>[[1,2,3,6],[4,5],[7]]=>12
[1,3,6,2,7,4,5]=>[[1,2,3,5],[4,6,7]]=>11
[1,3,6,2,7,5,4]=>[[1,2,3,5],[4,6],[7]]=>13
[1,3,6,4,2,5,7]=>[[1,2,3,6,7],[4],[5]]=>7
[1,3,6,4,2,7,5]=>[[1,2,3,6],[4,7],[5]]=>11
[1,3,6,4,5,2,7]=>[[1,2,3,5,7],[4],[6]]=>8
[1,3,6,4,5,7,2]=>[[1,2,3,5,6],[4],[7]]=>9
[1,3,6,4,7,2,5]=>[[1,2,3,5],[4,7],[6]]=>12
[1,3,6,4,7,5,2]=>[[1,2,3,5],[4,6],[7]]=>13
[1,3,6,5,2,4,7]=>[[1,2,3,7],[4,6],[5]]=>10
[1,3,6,5,2,7,4]=>[[1,2,3,6],[4,7],[5]]=>11
[1,3,6,5,4,2,7]=>[[1,2,3,7],[4],[5],[6]]=>12
[1,3,6,5,4,7,2]=>[[1,2,3,6],[4],[5],[7]]=>13
[1,3,6,5,7,2,4]=>[[1,2,3,5],[4,7],[6]]=>12
[1,3,6,5,7,4,2]=>[[1,2,3,5],[4],[6],[7]]=>14
[1,3,6,7,2,4,5]=>[[1,2,3,4],[5,6,7]]=>12
[1,3,6,7,2,5,4]=>[[1,2,3,4],[5,6],[7]]=>14
[1,3,6,7,4,2,5]=>[[1,2,3,4],[5,7],[6]]=>13
[1,3,6,7,4,5,2]=>[[1,2,3,4],[5,6],[7]]=>14
[1,3,6,7,5,2,4]=>[[1,2,3,4],[5,7],[6]]=>13
[1,3,6,7,5,4,2]=>[[1,2,3,4],[5],[6],[7]]=>15
[1,3,7,2,4,5,6]=>[[1,2,3,6,7],[4,5]]=>6
[1,3,7,2,4,6,5]=>[[1,2,3,6],[4,5],[7]]=>12
[1,3,7,2,5,4,6]=>[[1,2,3,7],[4,5],[6]]=>11
[1,3,7,2,5,6,4]=>[[1,2,3,6],[4,5],[7]]=>12
[1,3,7,2,6,4,5]=>[[1,2,3,7],[4,5],[6]]=>11
[1,3,7,2,6,5,4]=>[[1,2,3],[4,5],[6],[7]]=>17
[1,3,7,4,2,5,6]=>[[1,2,3,6,7],[4],[5]]=>7
[1,3,7,4,2,6,5]=>[[1,2,3,6],[4,7],[5]]=>11
[1,3,7,4,5,2,6]=>[[1,2,3,5,7],[4],[6]]=>8
[1,3,7,4,5,6,2]=>[[1,2,3,5,6],[4],[7]]=>9
[1,3,7,4,6,2,5]=>[[1,2,3,5],[4,7],[6]]=>12
[1,3,7,4,6,5,2]=>[[1,2,3,5],[4],[6],[7]]=>14
[1,3,7,5,2,4,6]=>[[1,2,3,7],[4,6],[5]]=>10
[1,3,7,5,2,6,4]=>[[1,2,3,6],[4,7],[5]]=>11
[1,3,7,5,4,2,6]=>[[1,2,3,7],[4],[5],[6]]=>12
[1,3,7,5,4,6,2]=>[[1,2,3,6],[4],[5],[7]]=>13
[1,3,7,5,6,2,4]=>[[1,2,3,5],[4,7],[6]]=>12
[1,3,7,5,6,4,2]=>[[1,2,3,5],[4],[6],[7]]=>14
[1,3,7,6,2,4,5]=>[[1,2,3,7],[4,6],[5]]=>10
[1,3,7,6,2,5,4]=>[[1,2,3],[4,6],[5],[7]]=>16
[1,3,7,6,4,2,5]=>[[1,2,3,7],[4],[5],[6]]=>12
[1,3,7,6,4,5,2]=>[[1,2,3,6],[4],[5],[7]]=>13
[1,3,7,6,5,2,4]=>[[1,2,3],[4,7],[5],[6]]=>15
[1,3,7,6,5,4,2]=>[[1,2,3],[4],[5],[6],[7]]=>18
[1,4,2,3,5,6,7]=>[[1,2,4,5,6,7],[3]]=>2
[1,4,2,3,5,7,6]=>[[1,2,4,5,6],[3,7]]=>7
[1,4,2,3,6,5,7]=>[[1,2,4,5,7],[3,6]]=>6
[1,4,2,3,6,7,5]=>[[1,2,4,5,6],[3,7]]=>7
[1,4,2,3,7,5,6]=>[[1,2,4,5,7],[3,6]]=>6
[1,4,2,3,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>12
[1,4,2,5,3,6,7]=>[[1,2,4,6,7],[3,5]]=>5
[1,4,2,5,3,7,6]=>[[1,2,4,6],[3,5,7]]=>9
[1,4,2,5,6,3,7]=>[[1,2,4,5,7],[3,6]]=>6
[1,4,2,5,6,7,3]=>[[1,2,4,5,6],[3,7]]=>7
[1,4,2,5,7,3,6]=>[[1,2,4,5],[3,6,7]]=>10
[1,4,2,5,7,6,3]=>[[1,2,4,5],[3,6],[7]]=>12
[1,4,2,6,3,5,7]=>[[1,2,4,6,7],[3,5]]=>5
[1,4,2,6,3,7,5]=>[[1,2,4,6],[3,5,7]]=>9
[1,4,2,6,5,3,7]=>[[1,2,4,7],[3,5],[6]]=>10
[1,4,2,6,5,7,3]=>[[1,2,4,6],[3,5],[7]]=>11
[1,4,2,6,7,3,5]=>[[1,2,4,5],[3,6,7]]=>10
[1,4,2,6,7,5,3]=>[[1,2,4,5],[3,6],[7]]=>12
[1,4,2,7,3,5,6]=>[[1,2,4,6,7],[3,5]]=>5
[1,4,2,7,3,6,5]=>[[1,2,4,6],[3,5],[7]]=>11
[1,4,2,7,5,3,6]=>[[1,2,4,7],[3,5],[6]]=>10
[1,4,2,7,5,6,3]=>[[1,2,4,6],[3,5],[7]]=>11
[1,4,2,7,6,3,5]=>[[1,2,4,7],[3,5],[6]]=>10
[1,4,2,7,6,5,3]=>[[1,2,4],[3,5],[6],[7]]=>16
[1,4,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>5
[1,4,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>9
[1,4,3,2,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>8
[1,4,3,2,6,7,5]=>[[1,2,5,6],[3,7],[4]]=>9
[1,4,3,2,7,5,6]=>[[1,2,5,7],[3,6],[4]]=>8
[1,4,3,2,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>12
[1,4,3,5,2,6,7]=>[[1,2,4,6,7],[3],[5]]=>6
[1,4,3,5,2,7,6]=>[[1,2,4,6],[3,7],[5]]=>10
[1,4,3,5,6,2,7]=>[[1,2,4,5,7],[3],[6]]=>7
[1,4,3,5,6,7,2]=>[[1,2,4,5,6],[3],[7]]=>8
[1,4,3,5,7,2,6]=>[[1,2,4,5],[3,7],[6]]=>11
[1,4,3,5,7,6,2]=>[[1,2,4,5],[3,6],[7]]=>12
[1,4,3,6,2,5,7]=>[[1,2,4,7],[3,6],[5]]=>9
[1,4,3,6,2,7,5]=>[[1,2,4,6],[3,7],[5]]=>10
[1,4,3,6,5,2,7]=>[[1,2,4,7],[3,5],[6]]=>10
[1,4,3,6,5,7,2]=>[[1,2,4,6],[3,5],[7]]=>11
[1,4,3,6,7,2,5]=>[[1,2,4,5],[3,7],[6]]=>11
[1,4,3,6,7,5,2]=>[[1,2,4,5],[3,6],[7]]=>12
[1,4,3,7,2,5,6]=>[[1,2,4,7],[3,6],[5]]=>9
[1,4,3,7,2,6,5]=>[[1,2,4],[3,6],[5,7]]=>13
[1,4,3,7,5,2,6]=>[[1,2,4,7],[3,5],[6]]=>10
[1,4,3,7,5,6,2]=>[[1,2,4,6],[3,5],[7]]=>11
[1,4,3,7,6,2,5]=>[[1,2,4],[3,5],[6,7]]=>15
[1,4,3,7,6,5,2]=>[[1,2,4],[3,5],[6],[7]]=>16
[1,4,5,2,3,6,7]=>[[1,2,3,6,7],[4,5]]=>6
[1,4,5,2,3,7,6]=>[[1,2,3,6],[4,5,7]]=>10
[1,4,5,2,6,3,7]=>[[1,2,3,5,7],[4,6]]=>7
[1,4,5,2,6,7,3]=>[[1,2,3,5,6],[4,7]]=>8
[1,4,5,2,7,3,6]=>[[1,2,3,5],[4,6,7]]=>11
[1,4,5,2,7,6,3]=>[[1,2,3,5],[4,6],[7]]=>13
[1,4,5,3,2,6,7]=>[[1,2,3,6,7],[4],[5]]=>7
[1,4,5,3,2,7,6]=>[[1,2,3,6],[4,7],[5]]=>11
[1,4,5,3,6,2,7]=>[[1,2,3,5,7],[4],[6]]=>8
[1,4,5,3,6,7,2]=>[[1,2,3,5,6],[4],[7]]=>9
[1,4,5,3,7,2,6]=>[[1,2,3,5],[4,7],[6]]=>12
[1,4,5,3,7,6,2]=>[[1,2,3,5],[4,6],[7]]=>13
[1,4,5,6,2,3,7]=>[[1,2,3,4,7],[5,6]]=>8
[1,4,5,6,2,7,3]=>[[1,2,3,4,6],[5,7]]=>9
[1,4,5,6,3,2,7]=>[[1,2,3,4,7],[5],[6]]=>9
[1,4,5,6,3,7,2]=>[[1,2,3,4,6],[5],[7]]=>10
[1,4,5,6,7,2,3]=>[[1,2,3,4,5],[6,7]]=>10
[1,4,5,6,7,3,2]=>[[1,2,3,4,5],[6],[7]]=>11
[1,4,5,7,2,3,6]=>[[1,2,3,4],[5,6,7]]=>12
[1,4,5,7,2,6,3]=>[[1,2,3,4],[5,6],[7]]=>14
[1,4,5,7,3,2,6]=>[[1,2,3,4],[5,7],[6]]=>13
[1,4,5,7,3,6,2]=>[[1,2,3,4],[5,6],[7]]=>14
[1,4,5,7,6,2,3]=>[[1,2,3,4],[5,7],[6]]=>13
[1,4,5,7,6,3,2]=>[[1,2,3,4],[5],[6],[7]]=>15
[1,4,6,2,3,5,7]=>[[1,2,3,6,7],[4,5]]=>6
[1,4,6,2,3,7,5]=>[[1,2,3,6],[4,5,7]]=>10
[1,4,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>11
[1,4,6,2,5,7,3]=>[[1,2,3,6],[4,5],[7]]=>12
[1,4,6,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>11
[1,4,6,2,7,5,3]=>[[1,2,3,5],[4,6],[7]]=>13
[1,4,6,3,2,5,7]=>[[1,2,3,7],[4,6],[5]]=>10
[1,4,6,3,2,7,5]=>[[1,2,3,6],[4,7],[5]]=>11
[1,4,6,3,5,2,7]=>[[1,2,3,7],[4,5],[6]]=>11
[1,4,6,3,5,7,2]=>[[1,2,3,6],[4,5],[7]]=>12
[1,4,6,3,7,2,5]=>[[1,2,3,5],[4,7],[6]]=>12
[1,4,6,3,7,5,2]=>[[1,2,3,5],[4,6],[7]]=>13
[1,4,6,5,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>10
[1,4,6,5,2,7,3]=>[[1,2,3,6],[4,7],[5]]=>11
[1,4,6,5,3,2,7]=>[[1,2,3,7],[4],[5],[6]]=>12
[1,4,6,5,3,7,2]=>[[1,2,3,6],[4],[5],[7]]=>13
[1,4,6,5,7,2,3]=>[[1,2,3,5],[4,7],[6]]=>12
[1,4,6,5,7,3,2]=>[[1,2,3,5],[4],[6],[7]]=>14
[1,4,6,7,2,3,5]=>[[1,2,3,4],[5,6,7]]=>12
[1,4,6,7,2,5,3]=>[[1,2,3,4],[5,6],[7]]=>14
[1,4,6,7,3,2,5]=>[[1,2,3,4],[5,7],[6]]=>13
[1,4,6,7,3,5,2]=>[[1,2,3,4],[5,6],[7]]=>14
[1,4,6,7,5,2,3]=>[[1,2,3,4],[5,7],[6]]=>13
[1,4,6,7,5,3,2]=>[[1,2,3,4],[5],[6],[7]]=>15
[1,4,7,2,3,5,6]=>[[1,2,3,6,7],[4,5]]=>6
[1,4,7,2,3,6,5]=>[[1,2,3,6],[4,5],[7]]=>12
[1,4,7,2,5,3,6]=>[[1,2,3,7],[4,5],[6]]=>11
[1,4,7,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>12
[1,4,7,2,6,3,5]=>[[1,2,3,7],[4,5],[6]]=>11
[1,4,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>17
[1,4,7,3,2,5,6]=>[[1,2,3,7],[4,6],[5]]=>10
[1,4,7,3,2,6,5]=>[[1,2,3],[4,6],[5,7]]=>14
[1,4,7,3,5,2,6]=>[[1,2,3,7],[4,5],[6]]=>11
[1,4,7,3,5,6,2]=>[[1,2,3,6],[4,5],[7]]=>12
[1,4,7,3,6,2,5]=>[[1,2,3],[4,5],[6,7]]=>16
[1,4,7,3,6,5,2]=>[[1,2,3],[4,5],[6],[7]]=>17
[1,4,7,5,2,3,6]=>[[1,2,3,7],[4,6],[5]]=>10
[1,4,7,5,2,6,3]=>[[1,2,3,6],[4,7],[5]]=>11
[1,4,7,5,3,2,6]=>[[1,2,3,7],[4],[5],[6]]=>12
[1,4,7,5,3,6,2]=>[[1,2,3,6],[4],[5],[7]]=>13
[1,4,7,5,6,2,3]=>[[1,2,3,5],[4,7],[6]]=>12
[1,4,7,5,6,3,2]=>[[1,2,3,5],[4],[6],[7]]=>14
[1,4,7,6,2,3,5]=>[[1,2,3,7],[4,6],[5]]=>10
[1,4,7,6,2,5,3]=>[[1,2,3],[4,6],[5],[7]]=>16
[1,4,7,6,3,2,5]=>[[1,2,3],[4,7],[5],[6]]=>15
[1,4,7,6,3,5,2]=>[[1,2,3],[4,6],[5],[7]]=>16
[1,4,7,6,5,2,3]=>[[1,2,3],[4,7],[5],[6]]=>15
[1,4,7,6,5,3,2]=>[[1,2,3],[4],[5],[6],[7]]=>18
[1,5,2,3,4,6,7]=>[[1,2,4,5,6,7],[3]]=>2
[1,5,2,3,4,7,6]=>[[1,2,4,5,6],[3,7]]=>7
[1,5,2,3,6,4,7]=>[[1,2,4,5,7],[3,6]]=>6
[1,5,2,3,6,7,4]=>[[1,2,4,5,6],[3,7]]=>7
[1,5,2,3,7,4,6]=>[[1,2,4,5,7],[3,6]]=>6
[1,5,2,3,7,6,4]=>[[1,2,4,5],[3,6],[7]]=>12
[1,5,2,4,3,6,7]=>[[1,2,4,6,7],[3],[5]]=>6
[1,5,2,4,3,7,6]=>[[1,2,4,6],[3,7],[5]]=>10
[1,5,2,4,6,3,7]=>[[1,2,4,5,7],[3],[6]]=>7
[1,5,2,4,6,7,3]=>[[1,2,4,5,6],[3],[7]]=>8
[1,5,2,4,7,3,6]=>[[1,2,4,5],[3,7],[6]]=>11
[1,5,2,4,7,6,3]=>[[1,2,4,5],[3,6],[7]]=>12
[1,5,2,6,3,4,7]=>[[1,2,4,6,7],[3,5]]=>5
[1,5,2,6,3,7,4]=>[[1,2,4,6],[3,5,7]]=>9
[1,5,2,6,4,3,7]=>[[1,2,4,7],[3,5],[6]]=>10
[1,5,2,6,4,7,3]=>[[1,2,4,6],[3,5],[7]]=>11
[1,5,2,6,7,3,4]=>[[1,2,4,5],[3,6,7]]=>10
[1,5,2,6,7,4,3]=>[[1,2,4,5],[3,6],[7]]=>12
[1,5,2,7,3,4,6]=>[[1,2,4,6,7],[3,5]]=>5
[1,5,2,7,3,6,4]=>[[1,2,4,6],[3,5],[7]]=>11
[1,5,2,7,4,3,6]=>[[1,2,4,7],[3,5],[6]]=>10
[1,5,2,7,4,6,3]=>[[1,2,4,6],[3,5],[7]]=>11
[1,5,2,7,6,3,4]=>[[1,2,4,7],[3,5],[6]]=>10
[1,5,2,7,6,4,3]=>[[1,2,4],[3,5],[6],[7]]=>16
[1,5,3,2,4,6,7]=>[[1,2,5,6,7],[3],[4]]=>5
[1,5,3,2,4,7,6]=>[[1,2,5,6],[3,7],[4]]=>9
[1,5,3,2,6,4,7]=>[[1,2,5,7],[3,6],[4]]=>8
[1,5,3,2,6,7,4]=>[[1,2,5,6],[3,7],[4]]=>9
[1,5,3,2,7,4,6]=>[[1,2,5,7],[3,6],[4]]=>8
[1,5,3,2,7,6,4]=>[[1,2,5],[3,6],[4,7]]=>12
[1,5,3,4,2,6,7]=>[[1,2,4,6,7],[3],[5]]=>6
[1,5,3,4,2,7,6]=>[[1,2,4,6],[3,7],[5]]=>10
[1,5,3,4,6,2,7]=>[[1,2,4,5,7],[3],[6]]=>7
[1,5,3,4,6,7,2]=>[[1,2,4,5,6],[3],[7]]=>8
[1,5,3,4,7,2,6]=>[[1,2,4,5],[3,7],[6]]=>11
[1,5,3,4,7,6,2]=>[[1,2,4,5],[3,6],[7]]=>12
[1,5,3,6,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>9
[1,5,3,6,2,7,4]=>[[1,2,4,6],[3,7],[5]]=>10
[1,5,3,6,4,2,7]=>[[1,2,4,7],[3,5],[6]]=>10
[1,5,3,6,4,7,2]=>[[1,2,4,6],[3,5],[7]]=>11
[1,5,3,6,7,2,4]=>[[1,2,4,5],[3,7],[6]]=>11
[1,5,3,6,7,4,2]=>[[1,2,4,5],[3,6],[7]]=>12
[1,5,3,7,2,4,6]=>[[1,2,4,7],[3,6],[5]]=>9
[1,5,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>13
[1,5,3,7,4,2,6]=>[[1,2,4,7],[3,5],[6]]=>10
[1,5,3,7,4,6,2]=>[[1,2,4,6],[3,5],[7]]=>11
[1,5,3,7,6,2,4]=>[[1,2,4],[3,5],[6,7]]=>15
[1,5,3,7,6,4,2]=>[[1,2,4],[3,5],[6],[7]]=>16
[1,5,4,2,3,6,7]=>[[1,2,5,6,7],[3],[4]]=>5
[1,5,4,2,3,7,6]=>[[1,2,5,6],[3,7],[4]]=>9
[1,5,4,2,6,3,7]=>[[1,2,5,7],[3,6],[4]]=>8
[1,5,4,2,6,7,3]=>[[1,2,5,6],[3,7],[4]]=>9
[1,5,4,2,7,3,6]=>[[1,2,5,7],[3,6],[4]]=>8
[1,5,4,2,7,6,3]=>[[1,2,5],[3,6],[4,7]]=>12
[1,5,4,3,2,6,7]=>[[1,2,6,7],[3],[4],[5]]=>9
[1,5,4,3,2,7,6]=>[[1,2,6],[3,7],[4],[5]]=>12
[1,5,4,3,6,2,7]=>[[1,2,5,7],[3],[4],[6]]=>10
[1,5,4,3,6,7,2]=>[[1,2,5,6],[3],[4],[7]]=>11
[1,5,4,3,7,2,6]=>[[1,2,5],[3,7],[4],[6]]=>13
[1,5,4,3,7,6,2]=>[[1,2,5],[3,6],[4],[7]]=>14
[1,5,4,6,2,3,7]=>[[1,2,4,7],[3,6],[5]]=>9
[1,5,4,6,2,7,3]=>[[1,2,4,6],[3,7],[5]]=>10
[1,5,4,6,3,2,7]=>[[1,2,4,7],[3],[5],[6]]=>11
[1,5,4,6,3,7,2]=>[[1,2,4,6],[3],[5],[7]]=>12
[1,5,4,6,7,2,3]=>[[1,2,4,5],[3,7],[6]]=>11
[1,5,4,6,7,3,2]=>[[1,2,4,5],[3],[6],[7]]=>13
[1,5,4,7,2,3,6]=>[[1,2,4,7],[3,6],[5]]=>9
[1,5,4,7,2,6,3]=>[[1,2,4],[3,6],[5,7]]=>13
[1,5,4,7,3,2,6]=>[[1,2,4],[3,7],[5],[6]]=>14
[1,5,4,7,3,6,2]=>[[1,2,4],[3,6],[5],[7]]=>15
[1,5,4,7,6,2,3]=>[[1,2,4],[3,5],[6,7]]=>15
[1,5,4,7,6,3,2]=>[[1,2,4],[3,5],[6],[7]]=>16
[1,5,6,2,3,4,7]=>[[1,2,3,6,7],[4,5]]=>6
[1,5,6,2,3,7,4]=>[[1,2,3,6],[4,5,7]]=>10
[1,5,6,2,4,3,7]=>[[1,2,3,7],[4,5],[6]]=>11
[1,5,6,2,4,7,3]=>[[1,2,3,6],[4,5],[7]]=>12
[1,5,6,2,7,3,4]=>[[1,2,3,5],[4,6,7]]=>11
[1,5,6,2,7,4,3]=>[[1,2,3,5],[4,6],[7]]=>13
[1,5,6,3,2,4,7]=>[[1,2,3,7],[4,6],[5]]=>10
[1,5,6,3,2,7,4]=>[[1,2,3,6],[4,7],[5]]=>11
[1,5,6,3,4,2,7]=>[[1,2,3,7],[4,5],[6]]=>11
[1,5,6,3,4,7,2]=>[[1,2,3,6],[4,5],[7]]=>12
[1,5,6,3,7,2,4]=>[[1,2,3,5],[4,7],[6]]=>12
[1,5,6,3,7,4,2]=>[[1,2,3,5],[4,6],[7]]=>13
[1,5,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>10
[1,5,6,4,2,7,3]=>[[1,2,3,6],[4,7],[5]]=>11
[1,5,6,4,3,2,7]=>[[1,2,3,7],[4],[5],[6]]=>12
[1,5,6,4,3,7,2]=>[[1,2,3,6],[4],[5],[7]]=>13
[1,5,6,4,7,2,3]=>[[1,2,3,5],[4,7],[6]]=>12
[1,5,6,4,7,3,2]=>[[1,2,3,5],[4],[6],[7]]=>14
[1,5,6,7,2,3,4]=>[[1,2,3,4],[5,6,7]]=>12
[1,5,6,7,2,4,3]=>[[1,2,3,4],[5,6],[7]]=>14
[1,5,6,7,3,2,4]=>[[1,2,3,4],[5,7],[6]]=>13
[1,5,6,7,3,4,2]=>[[1,2,3,4],[5,6],[7]]=>14
[1,5,6,7,4,2,3]=>[[1,2,3,4],[5,7],[6]]=>13
[1,5,6,7,4,3,2]=>[[1,2,3,4],[5],[6],[7]]=>15
[1,5,7,2,3,4,6]=>[[1,2,3,6,7],[4,5]]=>6
[1,5,7,2,3,6,4]=>[[1,2,3,6],[4,5],[7]]=>12
[1,5,7,2,4,3,6]=>[[1,2,3,7],[4,5],[6]]=>11
[1,5,7,2,4,6,3]=>[[1,2,3,6],[4,5],[7]]=>12
[1,5,7,2,6,3,4]=>[[1,2,3,7],[4,5],[6]]=>11
[1,5,7,2,6,4,3]=>[[1,2,3],[4,5],[6],[7]]=>17
[1,5,7,3,2,4,6]=>[[1,2,3,7],[4,6],[5]]=>10
[1,5,7,3,2,6,4]=>[[1,2,3],[4,6],[5,7]]=>14
[1,5,7,3,4,2,6]=>[[1,2,3,7],[4,5],[6]]=>11
[1,5,7,3,4,6,2]=>[[1,2,3,6],[4,5],[7]]=>12
[1,5,7,3,6,2,4]=>[[1,2,3],[4,5],[6,7]]=>16
[1,5,7,3,6,4,2]=>[[1,2,3],[4,5],[6],[7]]=>17
[1,5,7,4,2,3,6]=>[[1,2,3,7],[4,6],[5]]=>10
[1,5,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>14
[1,5,7,4,3,2,6]=>[[1,2,3],[4,7],[5],[6]]=>15
[1,5,7,4,3,6,2]=>[[1,2,3],[4,6],[5],[7]]=>16
[1,5,7,4,6,2,3]=>[[1,2,3],[4,5],[6,7]]=>16
[1,5,7,4,6,3,2]=>[[1,2,3],[4,5],[6],[7]]=>17
[1,5,7,6,2,3,4]=>[[1,2,3,7],[4,6],[5]]=>10
[1,5,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>16
[1,5,7,6,3,2,4]=>[[1,2,3],[4,7],[5],[6]]=>15
[1,5,7,6,3,4,2]=>[[1,2,3],[4,6],[5],[7]]=>16
[1,5,7,6,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>15
[1,5,7,6,4,3,2]=>[[1,2,3],[4],[5],[6],[7]]=>18
[1,6,2,3,4,5,7]=>[[1,2,4,5,6,7],[3]]=>2
[1,6,2,3,4,7,5]=>[[1,2,4,5,6],[3,7]]=>7
[1,6,2,3,5,4,7]=>[[1,2,4,5,7],[3],[6]]=>7
[1,6,2,3,5,7,4]=>[[1,2,4,5,6],[3],[7]]=>8
[1,6,2,3,7,4,5]=>[[1,2,4,5,7],[3,6]]=>6
[1,6,2,3,7,5,4]=>[[1,2,4,5],[3,6],[7]]=>12
[1,6,2,4,3,5,7]=>[[1,2,4,6,7],[3],[5]]=>6
[1,6,2,4,3,7,5]=>[[1,2,4,6],[3,7],[5]]=>10
[1,6,2,4,5,3,7]=>[[1,2,4,5,7],[3],[6]]=>7
[1,6,2,4,5,7,3]=>[[1,2,4,5,6],[3],[7]]=>8
[1,6,2,4,7,3,5]=>[[1,2,4,5],[3,7],[6]]=>11
[1,6,2,4,7,5,3]=>[[1,2,4,5],[3,6],[7]]=>12
[1,6,2,5,3,4,7]=>[[1,2,4,6,7],[3],[5]]=>6
[1,6,2,5,3,7,4]=>[[1,2,4,6],[3,7],[5]]=>10
[1,6,2,5,4,3,7]=>[[1,2,4,7],[3],[5],[6]]=>11
[1,6,2,5,4,7,3]=>[[1,2,4,6],[3],[5],[7]]=>12
[1,6,2,5,7,3,4]=>[[1,2,4,5],[3,7],[6]]=>11
[1,6,2,5,7,4,3]=>[[1,2,4,5],[3],[6],[7]]=>13
[1,6,2,7,3,4,5]=>[[1,2,4,6,7],[3,5]]=>5
[1,6,2,7,3,5,4]=>[[1,2,4,6],[3,5],[7]]=>11
[1,6,2,7,4,3,5]=>[[1,2,4,7],[3,5],[6]]=>10
[1,6,2,7,4,5,3]=>[[1,2,4,6],[3,5],[7]]=>11
[1,6,2,7,5,3,4]=>[[1,2,4,7],[3,5],[6]]=>10
[1,6,2,7,5,4,3]=>[[1,2,4],[3,5],[6],[7]]=>16
[1,6,3,2,4,5,7]=>[[1,2,5,6,7],[3],[4]]=>5
[1,6,3,2,4,7,5]=>[[1,2,5,6],[3,7],[4]]=>9
[1,6,3,2,5,4,7]=>[[1,2,5,7],[3,6],[4]]=>8
[1,6,3,2,5,7,4]=>[[1,2,5,6],[3,7],[4]]=>9
[1,6,3,2,7,4,5]=>[[1,2,5,7],[3,6],[4]]=>8
[1,6,3,2,7,5,4]=>[[1,2,5],[3,6],[4,7]]=>12
[1,6,3,4,2,5,7]=>[[1,2,4,6,7],[3],[5]]=>6
[1,6,3,4,2,7,5]=>[[1,2,4,6],[3,7],[5]]=>10
[1,6,3,4,5,2,7]=>[[1,2,4,5,7],[3],[6]]=>7
[1,6,3,4,5,7,2]=>[[1,2,4,5,6],[3],[7]]=>8
[1,6,3,4,7,2,5]=>[[1,2,4,5],[3,7],[6]]=>11
[1,6,3,4,7,5,2]=>[[1,2,4,5],[3,6],[7]]=>12
[1,6,3,5,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>9
[1,6,3,5,2,7,4]=>[[1,2,4,6],[3,7],[5]]=>10
[1,6,3,5,4,2,7]=>[[1,2,4,7],[3],[5],[6]]=>11
[1,6,3,5,4,7,2]=>[[1,2,4,6],[3],[5],[7]]=>12
[1,6,3,5,7,2,4]=>[[1,2,4,5],[3,7],[6]]=>11
[1,6,3,5,7,4,2]=>[[1,2,4,5],[3],[6],[7]]=>13
[1,6,3,7,2,4,5]=>[[1,2,4,7],[3,6],[5]]=>9
[1,6,3,7,2,5,4]=>[[1,2,4],[3,6],[5,7]]=>13
[1,6,3,7,4,2,5]=>[[1,2,4,7],[3,5],[6]]=>10
[1,6,3,7,4,5,2]=>[[1,2,4,6],[3,5],[7]]=>11
[1,6,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>15
[1,6,3,7,5,4,2]=>[[1,2,4],[3,5],[6],[7]]=>16
[1,6,4,2,3,5,7]=>[[1,2,5,6,7],[3],[4]]=>5
[1,6,4,2,3,7,5]=>[[1,2,5,6],[3,7],[4]]=>9
[1,6,4,2,5,3,7]=>[[1,2,5,7],[3,6],[4]]=>8
[1,6,4,2,5,7,3]=>[[1,2,5,6],[3,7],[4]]=>9
[1,6,4,2,7,3,5]=>[[1,2,5,7],[3,6],[4]]=>8
[1,6,4,2,7,5,3]=>[[1,2,5],[3,6],[4,7]]=>12
[1,6,4,3,2,5,7]=>[[1,2,6,7],[3],[4],[5]]=>9
[1,6,4,3,2,7,5]=>[[1,2,6],[3,7],[4],[5]]=>12
[1,6,4,3,5,2,7]=>[[1,2,5,7],[3],[4],[6]]=>10
[1,6,4,3,5,7,2]=>[[1,2,5,6],[3],[4],[7]]=>11
[1,6,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6]]=>13
[1,6,4,3,7,5,2]=>[[1,2,5],[3,6],[4],[7]]=>14
[1,6,4,5,2,3,7]=>[[1,2,4,7],[3,6],[5]]=>9
[1,6,4,5,2,7,3]=>[[1,2,4,6],[3,7],[5]]=>10
[1,6,4,5,3,2,7]=>[[1,2,4,7],[3],[5],[6]]=>11
[1,6,4,5,3,7,2]=>[[1,2,4,6],[3],[5],[7]]=>12
[1,6,4,5,7,2,3]=>[[1,2,4,5],[3,7],[6]]=>11
[1,6,4,5,7,3,2]=>[[1,2,4,5],[3],[6],[7]]=>13
[1,6,4,7,2,3,5]=>[[1,2,4,7],[3,6],[5]]=>9
[1,6,4,7,2,5,3]=>[[1,2,4],[3,6],[5,7]]=>13
[1,6,4,7,3,2,5]=>[[1,2,4],[3,7],[5],[6]]=>14
[1,6,4,7,3,5,2]=>[[1,2,4],[3,6],[5],[7]]=>15
[1,6,4,7,5,2,3]=>[[1,2,4],[3,5],[6,7]]=>15
[1,6,4,7,5,3,2]=>[[1,2,4],[3,5],[6],[7]]=>16
[1,6,5,2,3,4,7]=>[[1,2,5,6,7],[3],[4]]=>5
[1,6,5,2,3,7,4]=>[[1,2,5,6],[3,7],[4]]=>9
[1,6,5,2,4,3,7]=>[[1,2,5,7],[3],[4],[6]]=>10
[1,6,5,2,4,7,3]=>[[1,2,5,6],[3],[4],[7]]=>11
[1,6,5,2,7,3,4]=>[[1,2,5,7],[3,6],[4]]=>8
[1,6,5,2,7,4,3]=>[[1,2,5],[3,6],[4],[7]]=>14
[1,6,5,3,2,4,7]=>[[1,2,6,7],[3],[4],[5]]=>9
[1,6,5,3,2,7,4]=>[[1,2,6],[3,7],[4],[5]]=>12
[1,6,5,3,4,2,7]=>[[1,2,5,7],[3],[4],[6]]=>10
[1,6,5,3,4,7,2]=>[[1,2,5,6],[3],[4],[7]]=>11
[1,6,5,3,7,2,4]=>[[1,2,5],[3,7],[4],[6]]=>13
[1,6,5,3,7,4,2]=>[[1,2,5],[3,6],[4],[7]]=>14
[1,6,5,4,2,3,7]=>[[1,2,6,7],[3],[4],[5]]=>9
[1,6,5,4,2,7,3]=>[[1,2,6],[3,7],[4],[5]]=>12
[1,6,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>14
[1,6,5,4,3,7,2]=>[[1,2,6],[3],[4],[5],[7]]=>15
[1,6,5,4,7,2,3]=>[[1,2,5],[3,7],[4],[6]]=>13
[1,6,5,4,7,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>16
[1,6,5,7,2,3,4]=>[[1,2,4,7],[3,6],[5]]=>9
[1,6,5,7,2,4,3]=>[[1,2,4],[3,6],[5],[7]]=>15
[1,6,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>14
[1,6,5,7,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>15
[1,6,5,7,4,2,3]=>[[1,2,4],[3,7],[5],[6]]=>14
[1,6,5,7,4,3,2]=>[[1,2,4],[3],[5],[6],[7]]=>17
[1,6,7,2,3,4,5]=>[[1,2,3,6,7],[4,5]]=>6
[1,6,7,2,3,5,4]=>[[1,2,3,6],[4,5],[7]]=>12
[1,6,7,2,4,3,5]=>[[1,2,3,7],[4,5],[6]]=>11
[1,6,7,2,4,5,3]=>[[1,2,3,6],[4,5],[7]]=>12
[1,6,7,2,5,3,4]=>[[1,2,3,7],[4,5],[6]]=>11
[1,6,7,2,5,4,3]=>[[1,2,3],[4,5],[6],[7]]=>17
[1,6,7,3,2,4,5]=>[[1,2,3,7],[4,6],[5]]=>10
[1,6,7,3,2,5,4]=>[[1,2,3],[4,6],[5,7]]=>14
[1,6,7,3,4,2,5]=>[[1,2,3,7],[4,5],[6]]=>11
[1,6,7,3,4,5,2]=>[[1,2,3,6],[4,5],[7]]=>12
[1,6,7,3,5,2,4]=>[[1,2,3],[4,5],[6,7]]=>16
[1,6,7,3,5,4,2]=>[[1,2,3],[4,5],[6],[7]]=>17
[1,6,7,4,2,3,5]=>[[1,2,3,7],[4,6],[5]]=>10
[1,6,7,4,2,5,3]=>[[1,2,3],[4,6],[5,7]]=>14
[1,6,7,4,3,2,5]=>[[1,2,3],[4,7],[5],[6]]=>15
[1,6,7,4,3,5,2]=>[[1,2,3],[4,6],[5],[7]]=>16
[1,6,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>16
[1,6,7,4,5,3,2]=>[[1,2,3],[4,5],[6],[7]]=>17
[1,6,7,5,2,3,4]=>[[1,2,3,7],[4,6],[5]]=>10
[1,6,7,5,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>16
[1,6,7,5,3,2,4]=>[[1,2,3],[4,7],[5],[6]]=>15
[1,6,7,5,3,4,2]=>[[1,2,3],[4,6],[5],[7]]=>16
[1,6,7,5,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>15
[1,6,7,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7]]=>18
[1,7,2,3,4,5,6]=>[[1,2,4,5,6,7],[3]]=>2
[1,7,2,3,4,6,5]=>[[1,2,4,5,6],[3],[7]]=>8
[1,7,2,3,5,4,6]=>[[1,2,4,5,7],[3],[6]]=>7
[1,7,2,3,5,6,4]=>[[1,2,4,5,6],[3],[7]]=>8
[1,7,2,3,6,4,5]=>[[1,2,4,5,7],[3],[6]]=>7
[1,7,2,3,6,5,4]=>[[1,2,4,5],[3],[6],[7]]=>13
[1,7,2,4,3,5,6]=>[[1,2,4,6,7],[3],[5]]=>6
[1,7,2,4,3,6,5]=>[[1,2,4,6],[3,7],[5]]=>10
[1,7,2,4,5,3,6]=>[[1,2,4,5,7],[3],[6]]=>7
[1,7,2,4,5,6,3]=>[[1,2,4,5,6],[3],[7]]=>8
[1,7,2,4,6,3,5]=>[[1,2,4,5],[3,7],[6]]=>11
[1,7,2,4,6,5,3]=>[[1,2,4,5],[3],[6],[7]]=>13
[1,7,2,5,3,4,6]=>[[1,2,4,6,7],[3],[5]]=>6
[1,7,2,5,3,6,4]=>[[1,2,4,6],[3,7],[5]]=>10
[1,7,2,5,4,3,6]=>[[1,2,4,7],[3],[5],[6]]=>11
[1,7,2,5,4,6,3]=>[[1,2,4,6],[3],[5],[7]]=>12
[1,7,2,5,6,3,4]=>[[1,2,4,5],[3,7],[6]]=>11
[1,7,2,5,6,4,3]=>[[1,2,4,5],[3],[6],[7]]=>13
[1,7,2,6,3,4,5]=>[[1,2,4,6,7],[3],[5]]=>6
[1,7,2,6,3,5,4]=>[[1,2,4,6],[3],[5],[7]]=>12
[1,7,2,6,4,3,5]=>[[1,2,4,7],[3],[5],[6]]=>11
[1,7,2,6,4,5,3]=>[[1,2,4,6],[3],[5],[7]]=>12
[1,7,2,6,5,3,4]=>[[1,2,4,7],[3],[5],[6]]=>11
[1,7,2,6,5,4,3]=>[[1,2,4],[3],[5],[6],[7]]=>17
[1,7,3,2,4,5,6]=>[[1,2,5,6,7],[3],[4]]=>5
[1,7,3,2,4,6,5]=>[[1,2,5,6],[3,7],[4]]=>9
[1,7,3,2,5,4,6]=>[[1,2,5,7],[3,6],[4]]=>8
[1,7,3,2,5,6,4]=>[[1,2,5,6],[3,7],[4]]=>9
[1,7,3,2,6,4,5]=>[[1,2,5,7],[3,6],[4]]=>8
[1,7,3,2,6,5,4]=>[[1,2,5],[3,6],[4],[7]]=>14
[1,7,3,4,2,5,6]=>[[1,2,4,6,7],[3],[5]]=>6
[1,7,3,4,2,6,5]=>[[1,2,4,6],[3,7],[5]]=>10
[1,7,3,4,5,2,6]=>[[1,2,4,5,7],[3],[6]]=>7
[1,7,3,4,5,6,2]=>[[1,2,4,5,6],[3],[7]]=>8
[1,7,3,4,6,2,5]=>[[1,2,4,5],[3,7],[6]]=>11
[1,7,3,4,6,5,2]=>[[1,2,4,5],[3],[6],[7]]=>13
[1,7,3,5,2,4,6]=>[[1,2,4,7],[3,6],[5]]=>9
[1,7,3,5,2,6,4]=>[[1,2,4,6],[3,7],[5]]=>10
[1,7,3,5,4,2,6]=>[[1,2,4,7],[3],[5],[6]]=>11
[1,7,3,5,4,6,2]=>[[1,2,4,6],[3],[5],[7]]=>12
[1,7,3,5,6,2,4]=>[[1,2,4,5],[3,7],[6]]=>11
[1,7,3,5,6,4,2]=>[[1,2,4,5],[3],[6],[7]]=>13
[1,7,3,6,2,4,5]=>[[1,2,4,7],[3,6],[5]]=>9
[1,7,3,6,2,5,4]=>[[1,2,4],[3,6],[5],[7]]=>15
[1,7,3,6,4,2,5]=>[[1,2,4,7],[3],[5],[6]]=>11
[1,7,3,6,4,5,2]=>[[1,2,4,6],[3],[5],[7]]=>12
[1,7,3,6,5,2,4]=>[[1,2,4],[3,7],[5],[6]]=>14
[1,7,3,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>17
[1,7,4,2,3,5,6]=>[[1,2,5,6,7],[3],[4]]=>5
[1,7,4,2,3,6,5]=>[[1,2,5,6],[3,7],[4]]=>9
[1,7,4,2,5,3,6]=>[[1,2,5,7],[3,6],[4]]=>8
[1,7,4,2,5,6,3]=>[[1,2,5,6],[3,7],[4]]=>9
[1,7,4,2,6,3,5]=>[[1,2,5,7],[3,6],[4]]=>8
[1,7,4,2,6,5,3]=>[[1,2,5],[3,6],[4],[7]]=>14
[1,7,4,3,2,5,6]=>[[1,2,6,7],[3],[4],[5]]=>9
[1,7,4,3,2,6,5]=>[[1,2,6],[3,7],[4],[5]]=>12
[1,7,4,3,5,2,6]=>[[1,2,5,7],[3],[4],[6]]=>10
[1,7,4,3,5,6,2]=>[[1,2,5,6],[3],[4],[7]]=>11
[1,7,4,3,6,2,5]=>[[1,2,5],[3,7],[4],[6]]=>13
[1,7,4,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>14
[1,7,4,5,2,3,6]=>[[1,2,4,7],[3,6],[5]]=>9
[1,7,4,5,2,6,3]=>[[1,2,4,6],[3,7],[5]]=>10
[1,7,4,5,3,2,6]=>[[1,2,4,7],[3],[5],[6]]=>11
[1,7,4,5,3,6,2]=>[[1,2,4,6],[3],[5],[7]]=>12
[1,7,4,5,6,2,3]=>[[1,2,4,5],[3,7],[6]]=>11
[1,7,4,5,6,3,2]=>[[1,2,4,5],[3],[6],[7]]=>13
[1,7,4,6,2,3,5]=>[[1,2,4,7],[3,6],[5]]=>9
[1,7,4,6,2,5,3]=>[[1,2,4],[3,6],[5],[7]]=>15
[1,7,4,6,3,2,5]=>[[1,2,4],[3,7],[5],[6]]=>14
[1,7,4,6,3,5,2]=>[[1,2,4],[3,6],[5],[7]]=>15
[1,7,4,6,5,2,3]=>[[1,2,4],[3,7],[5],[6]]=>14
[1,7,4,6,5,3,2]=>[[1,2,4],[3],[5],[6],[7]]=>17
[1,7,5,2,3,4,6]=>[[1,2,5,6,7],[3],[4]]=>5
[1,7,5,2,3,6,4]=>[[1,2,5,6],[3,7],[4]]=>9
[1,7,5,2,4,3,6]=>[[1,2,5,7],[3],[4],[6]]=>10
[1,7,5,2,4,6,3]=>[[1,2,5,6],[3],[4],[7]]=>11
[1,7,5,2,6,3,4]=>[[1,2,5,7],[3,6],[4]]=>8
[1,7,5,2,6,4,3]=>[[1,2,5],[3,6],[4],[7]]=>14
[1,7,5,3,2,4,6]=>[[1,2,6,7],[3],[4],[5]]=>9
[1,7,5,3,2,6,4]=>[[1,2,6],[3,7],[4],[5]]=>12
[1,7,5,3,4,2,6]=>[[1,2,5,7],[3],[4],[6]]=>10
[1,7,5,3,4,6,2]=>[[1,2,5,6],[3],[4],[7]]=>11
[1,7,5,3,6,2,4]=>[[1,2,5],[3,7],[4],[6]]=>13
[1,7,5,3,6,4,2]=>[[1,2,5],[3,6],[4],[7]]=>14
[1,7,5,4,2,3,6]=>[[1,2,6,7],[3],[4],[5]]=>9
[1,7,5,4,2,6,3]=>[[1,2,6],[3,7],[4],[5]]=>12
[1,7,5,4,3,2,6]=>[[1,2,7],[3],[4],[5],[6]]=>14
[1,7,5,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]=>15
[1,7,5,4,6,2,3]=>[[1,2,5],[3,7],[4],[6]]=>13
[1,7,5,4,6,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>16
[1,7,5,6,2,3,4]=>[[1,2,4,7],[3,6],[5]]=>9
[1,7,5,6,2,4,3]=>[[1,2,4],[3,6],[5],[7]]=>15
[1,7,5,6,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>14
[1,7,5,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>15
[1,7,5,6,4,2,3]=>[[1,2,4],[3,7],[5],[6]]=>14
[1,7,5,6,4,3,2]=>[[1,2,4],[3],[5],[6],[7]]=>17
[1,7,6,2,3,4,5]=>[[1,2,5,6,7],[3],[4]]=>5
[1,7,6,2,3,5,4]=>[[1,2,5,6],[3],[4],[7]]=>11
[1,7,6,2,4,3,5]=>[[1,2,5,7],[3],[4],[6]]=>10
[1,7,6,2,4,5,3]=>[[1,2,5,6],[3],[4],[7]]=>11
[1,7,6,2,5,3,4]=>[[1,2,5,7],[3],[4],[6]]=>10
[1,7,6,2,5,4,3]=>[[1,2,5],[3],[4],[6],[7]]=>16
[1,7,6,3,2,4,5]=>[[1,2,6,7],[3],[4],[5]]=>9
[1,7,6,3,2,5,4]=>[[1,2,6],[3,7],[4],[5]]=>12
[1,7,6,3,4,2,5]=>[[1,2,5,7],[3],[4],[6]]=>10
[1,7,6,3,4,5,2]=>[[1,2,5,6],[3],[4],[7]]=>11
[1,7,6,3,5,2,4]=>[[1,2,5],[3,7],[4],[6]]=>13
[1,7,6,3,5,4,2]=>[[1,2,5],[3],[4],[6],[7]]=>16
[1,7,6,4,2,3,5]=>[[1,2,6,7],[3],[4],[5]]=>9
[1,7,6,4,2,5,3]=>[[1,2,6],[3,7],[4],[5]]=>12
[1,7,6,4,3,2,5]=>[[1,2,7],[3],[4],[5],[6]]=>14
[1,7,6,4,3,5,2]=>[[1,2,6],[3],[4],[5],[7]]=>15
[1,7,6,4,5,2,3]=>[[1,2,5],[3,7],[4],[6]]=>13
[1,7,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>16
[1,7,6,5,2,3,4]=>[[1,2,6,7],[3],[4],[5]]=>9
[1,7,6,5,2,4,3]=>[[1,2,6],[3],[4],[5],[7]]=>15
[1,7,6,5,3,2,4]=>[[1,2,7],[3],[4],[5],[6]]=>14
[1,7,6,5,3,4,2]=>[[1,2,6],[3],[4],[5],[7]]=>15
[1,7,6,5,4,2,3]=>[[1,2,7],[3],[4],[5],[6]]=>14
[1,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>20
[2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>1
[2,1,3,4,5,7,6]=>[[1,3,4,5,6],[2,7]]=>5
[2,1,3,4,6,5,7]=>[[1,3,4,5,7],[2,6]]=>4
[2,1,3,4,6,7,5]=>[[1,3,4,5,6],[2,7]]=>5
[2,1,3,4,7,5,6]=>[[1,3,4,5,7],[2,6]]=>4
[2,1,3,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>10
[2,1,3,5,4,6,7]=>[[1,3,4,6,7],[2,5]]=>3
[2,1,3,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>6
[2,1,3,5,6,4,7]=>[[1,3,4,5,7],[2,6]]=>4
[2,1,3,5,6,7,4]=>[[1,3,4,5,6],[2,7]]=>5
[2,1,3,5,7,4,6]=>[[1,3,4,5],[2,6,7]]=>7
[2,1,3,5,7,6,4]=>[[1,3,4,5],[2,6],[7]]=>10
[2,1,3,6,4,5,7]=>[[1,3,4,6,7],[2,5]]=>3
[2,1,3,6,4,7,5]=>[[1,3,4,6],[2,5,7]]=>6
[2,1,3,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>8
[2,1,3,6,5,7,4]=>[[1,3,4,6],[2,5],[7]]=>9
[2,1,3,6,7,4,5]=>[[1,3,4,5],[2,6,7]]=>7
[2,1,3,6,7,5,4]=>[[1,3,4,5],[2,6],[7]]=>10
[2,1,3,7,4,5,6]=>[[1,3,4,6,7],[2,5]]=>3
[2,1,3,7,4,6,5]=>[[1,3,4,6],[2,5],[7]]=>9
[2,1,3,7,5,4,6]=>[[1,3,4,7],[2,5],[6]]=>8
[2,1,3,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>9
[2,1,3,7,6,4,5]=>[[1,3,4,7],[2,5],[6]]=>8
[2,1,3,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>14
[2,1,4,3,5,6,7]=>[[1,3,5,6,7],[2,4]]=>2
[2,1,4,3,5,7,6]=>[[1,3,5,6],[2,4,7]]=>4
[2,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>3
[2,1,4,3,6,7,5]=>[[1,3,5,6],[2,4,7]]=>4
[2,1,4,3,7,5,6]=>[[1,3,5,7],[2,4,6]]=>3
[2,1,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>9
[2,1,4,5,3,6,7]=>[[1,3,4,6,7],[2,5]]=>3
[2,1,4,5,3,7,6]=>[[1,3,4,6],[2,5,7]]=>6
[2,1,4,5,6,3,7]=>[[1,3,4,5,7],[2,6]]=>4
[2,1,4,5,6,7,3]=>[[1,3,4,5,6],[2,7]]=>5
[2,1,4,5,7,3,6]=>[[1,3,4,5],[2,6,7]]=>7
[2,1,4,5,7,6,3]=>[[1,3,4,5],[2,6],[7]]=>10
[2,1,4,6,3,5,7]=>[[1,3,4,7],[2,5,6]]=>5
[2,1,4,6,3,7,5]=>[[1,3,4,6],[2,5,7]]=>6
[2,1,4,6,5,3,7]=>[[1,3,4,7],[2,5],[6]]=>8
[2,1,4,6,5,7,3]=>[[1,3,4,6],[2,5],[7]]=>9
[2,1,4,6,7,3,5]=>[[1,3,4,5],[2,6,7]]=>7
[2,1,4,6,7,5,3]=>[[1,3,4,5],[2,6],[7]]=>10
[2,1,4,7,3,5,6]=>[[1,3,4,7],[2,5,6]]=>5
[2,1,4,7,3,6,5]=>[[1,3,4],[2,5,6],[7]]=>11
[2,1,4,7,5,3,6]=>[[1,3,4,7],[2,5],[6]]=>8
[2,1,4,7,5,6,3]=>[[1,3,4,6],[2,5],[7]]=>9
[2,1,4,7,6,3,5]=>[[1,3,4],[2,5,7],[6]]=>10
[2,1,4,7,6,5,3]=>[[1,3,4],[2,5],[6],[7]]=>14
[2,1,5,3,4,6,7]=>[[1,3,5,6,7],[2,4]]=>2
[2,1,5,3,4,7,6]=>[[1,3,5,6],[2,4,7]]=>4
[2,1,5,3,6,4,7]=>[[1,3,5,7],[2,4,6]]=>3
[2,1,5,3,6,7,4]=>[[1,3,5,6],[2,4,7]]=>4
[2,1,5,3,7,4,6]=>[[1,3,5,7],[2,4,6]]=>3
[2,1,5,3,7,6,4]=>[[1,3,5],[2,4,6],[7]]=>9
[2,1,5,4,3,6,7]=>[[1,3,6,7],[2,4],[5]]=>6
[2,1,5,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>7
[2,1,5,4,6,3,7]=>[[1,3,5,7],[2,4],[6]]=>7
[2,1,5,4,6,7,3]=>[[1,3,5,6],[2,4],[7]]=>8
[2,1,5,4,7,3,6]=>[[1,3,5],[2,4,7],[6]]=>8
[2,1,5,4,7,6,3]=>[[1,3,5],[2,4,6],[7]]=>9
[2,1,5,6,3,4,7]=>[[1,3,4,7],[2,5,6]]=>5
[2,1,5,6,3,7,4]=>[[1,3,4,6],[2,5,7]]=>6
[2,1,5,6,4,3,7]=>[[1,3,4,7],[2,5],[6]]=>8
[2,1,5,6,4,7,3]=>[[1,3,4,6],[2,5],[7]]=>9
[2,1,5,6,7,3,4]=>[[1,3,4,5],[2,6,7]]=>7
[2,1,5,6,7,4,3]=>[[1,3,4,5],[2,6],[7]]=>10
[2,1,5,7,3,4,6]=>[[1,3,4,7],[2,5,6]]=>5
[2,1,5,7,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>11
[2,1,5,7,4,3,6]=>[[1,3,4],[2,5,7],[6]]=>10
[2,1,5,7,4,6,3]=>[[1,3,4],[2,5,6],[7]]=>11
[2,1,5,7,6,3,4]=>[[1,3,4],[2,5,7],[6]]=>10
[2,1,5,7,6,4,3]=>[[1,3,4],[2,5],[6],[7]]=>14
[2,1,6,3,4,5,7]=>[[1,3,5,6,7],[2,4]]=>2
[2,1,6,3,4,7,5]=>[[1,3,5,6],[2,4,7]]=>4
[2,1,6,3,5,4,7]=>[[1,3,5,7],[2,4],[6]]=>7
[2,1,6,3,5,7,4]=>[[1,3,5,6],[2,4],[7]]=>8
[2,1,6,3,7,4,5]=>[[1,3,5,7],[2,4,6]]=>3
[2,1,6,3,7,5,4]=>[[1,3,5],[2,4,6],[7]]=>9
[2,1,6,4,3,5,7]=>[[1,3,6,7],[2,4],[5]]=>6
[2,1,6,4,3,7,5]=>[[1,3,6],[2,4,7],[5]]=>7
[2,1,6,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>7
[2,1,6,4,5,7,3]=>[[1,3,5,6],[2,4],[7]]=>8
[2,1,6,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>8
[2,1,6,4,7,5,3]=>[[1,3,5],[2,4,6],[7]]=>9
[2,1,6,5,3,4,7]=>[[1,3,6,7],[2,4],[5]]=>6
[2,1,6,5,3,7,4]=>[[1,3,6],[2,4,7],[5]]=>7
[2,1,6,5,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>11
[2,1,6,5,4,7,3]=>[[1,3,6],[2,4],[5],[7]]=>12
[2,1,6,5,7,3,4]=>[[1,3,5],[2,4,7],[6]]=>8
[2,1,6,5,7,4,3]=>[[1,3,5],[2,4],[6],[7]]=>13
[2,1,6,7,3,4,5]=>[[1,3,4,7],[2,5,6]]=>5
[2,1,6,7,3,5,4]=>[[1,3,4],[2,5,6],[7]]=>11
[2,1,6,7,4,3,5]=>[[1,3,4],[2,5,7],[6]]=>10
[2,1,6,7,4,5,3]=>[[1,3,4],[2,5,6],[7]]=>11
[2,1,6,7,5,3,4]=>[[1,3,4],[2,5,7],[6]]=>10
[2,1,6,7,5,4,3]=>[[1,3,4],[2,5],[6],[7]]=>14
[2,1,7,3,4,5,6]=>[[1,3,5,6,7],[2,4]]=>2
[2,1,7,3,4,6,5]=>[[1,3,5,6],[2,4],[7]]=>8
[2,1,7,3,5,4,6]=>[[1,3,5,7],[2,4],[6]]=>7
[2,1,7,3,5,6,4]=>[[1,3,5,6],[2,4],[7]]=>8
[2,1,7,3,6,4,5]=>[[1,3,5,7],[2,4],[6]]=>7
[2,1,7,3,6,5,4]=>[[1,3,5],[2,4],[6],[7]]=>13
[2,1,7,4,3,5,6]=>[[1,3,6,7],[2,4],[5]]=>6
[2,1,7,4,3,6,5]=>[[1,3,6],[2,4,7],[5]]=>7
[2,1,7,4,5,3,6]=>[[1,3,5,7],[2,4],[6]]=>7
[2,1,7,4,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>8
[2,1,7,4,6,3,5]=>[[1,3,5],[2,4,7],[6]]=>8
[2,1,7,4,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>13
[2,1,7,5,3,4,6]=>[[1,3,6,7],[2,4],[5]]=>6
[2,1,7,5,3,6,4]=>[[1,3,6],[2,4,7],[5]]=>7
[2,1,7,5,4,3,6]=>[[1,3,7],[2,4],[5],[6]]=>11
[2,1,7,5,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>12
[2,1,7,5,6,3,4]=>[[1,3,5],[2,4,7],[6]]=>8
[2,1,7,5,6,4,3]=>[[1,3,5],[2,4],[6],[7]]=>13
[2,1,7,6,3,4,5]=>[[1,3,6,7],[2,4],[5]]=>6
[2,1,7,6,3,5,4]=>[[1,3,6],[2,4],[5],[7]]=>12
[2,1,7,6,4,3,5]=>[[1,3,7],[2,4],[5],[6]]=>11
[2,1,7,6,4,5,3]=>[[1,3,6],[2,4],[5],[7]]=>12
[2,1,7,6,5,3,4]=>[[1,3,7],[2,4],[5],[6]]=>11
[2,1,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>17
[2,3,1,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>2
[2,3,1,4,5,7,6]=>[[1,2,4,5,6],[3,7]]=>7
[2,3,1,4,6,5,7]=>[[1,2,4,5,7],[3,6]]=>6
[2,3,1,4,6,7,5]=>[[1,2,4,5,6],[3,7]]=>7
[2,3,1,4,7,5,6]=>[[1,2,4,5,7],[3,6]]=>6
[2,3,1,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>12
[2,3,1,5,4,6,7]=>[[1,2,4,6,7],[3,5]]=>5
[2,3,1,5,4,7,6]=>[[1,2,4,6],[3,5,7]]=>9
[2,3,1,5,6,4,7]=>[[1,2,4,5,7],[3,6]]=>6
[2,3,1,5,6,7,4]=>[[1,2,4,5,6],[3,7]]=>7
[2,3,1,5,7,4,6]=>[[1,2,4,5],[3,6,7]]=>10
[2,3,1,5,7,6,4]=>[[1,2,4,5],[3,6],[7]]=>12
[2,3,1,6,4,5,7]=>[[1,2,4,6,7],[3,5]]=>5
[2,3,1,6,4,7,5]=>[[1,2,4,6],[3,5,7]]=>9
[2,3,1,6,5,4,7]=>[[1,2,4,7],[3,5],[6]]=>10
[2,3,1,6,5,7,4]=>[[1,2,4,6],[3,5],[7]]=>11
[2,3,1,6,7,4,5]=>[[1,2,4,5],[3,6,7]]=>10
[2,3,1,6,7,5,4]=>[[1,2,4,5],[3,6],[7]]=>12
[2,3,1,7,4,5,6]=>[[1,2,4,6,7],[3,5]]=>5
[2,3,1,7,4,6,5]=>[[1,2,4,6],[3,5],[7]]=>11
[2,3,1,7,5,4,6]=>[[1,2,4,7],[3,5],[6]]=>10
[2,3,1,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>11
[2,3,1,7,6,4,5]=>[[1,2,4,7],[3,5],[6]]=>10
[2,3,1,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>16
[2,3,4,1,5,6,7]=>[[1,2,3,5,6,7],[4]]=>3
[2,3,4,1,5,7,6]=>[[1,2,3,5,6],[4,7]]=>8
[2,3,4,1,6,5,7]=>[[1,2,3,5,7],[4,6]]=>7
[2,3,4,1,6,7,5]=>[[1,2,3,5,6],[4,7]]=>8
[2,3,4,1,7,5,6]=>[[1,2,3,5,7],[4,6]]=>7
[2,3,4,1,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>13
[2,3,4,5,1,6,7]=>[[1,2,3,4,6,7],[5]]=>4
[2,3,4,5,1,7,6]=>[[1,2,3,4,6],[5,7]]=>9
[2,3,4,5,6,1,7]=>[[1,2,3,4,5,7],[6]]=>5
[2,3,4,5,6,7,1]=>[[1,2,3,4,5,6],[7]]=>6
[2,3,4,5,7,1,6]=>[[1,2,3,4,5],[6,7]]=>10
[2,3,4,5,7,6,1]=>[[1,2,3,4,5],[6],[7]]=>11
[2,3,4,6,1,5,7]=>[[1,2,3,4,7],[5,6]]=>8
[2,3,4,6,1,7,5]=>[[1,2,3,4,6],[5,7]]=>9
[2,3,4,6,5,1,7]=>[[1,2,3,4,7],[5],[6]]=>9
[2,3,4,6,5,7,1]=>[[1,2,3,4,6],[5],[7]]=>10
[2,3,4,6,7,1,5]=>[[1,2,3,4,5],[6,7]]=>10
[2,3,4,6,7,5,1]=>[[1,2,3,4,5],[6],[7]]=>11
[2,3,4,7,1,5,6]=>[[1,2,3,4,7],[5,6]]=>8
[2,3,4,7,1,6,5]=>[[1,2,3,4],[5,6],[7]]=>14
[2,3,4,7,5,1,6]=>[[1,2,3,4,7],[5],[6]]=>9
[2,3,4,7,5,6,1]=>[[1,2,3,4,6],[5],[7]]=>10
[2,3,4,7,6,1,5]=>[[1,2,3,4],[5,7],[6]]=>13
[2,3,4,7,6,5,1]=>[[1,2,3,4],[5],[6],[7]]=>15
[2,3,5,1,4,6,7]=>[[1,2,3,6,7],[4,5]]=>6
[2,3,5,1,4,7,6]=>[[1,2,3,6],[4,5,7]]=>10
[2,3,5,1,6,4,7]=>[[1,2,3,5,7],[4,6]]=>7
[2,3,5,1,6,7,4]=>[[1,2,3,5,6],[4,7]]=>8
[2,3,5,1,7,4,6]=>[[1,2,3,5],[4,6,7]]=>11
[2,3,5,1,7,6,4]=>[[1,2,3,5],[4,6],[7]]=>13
[2,3,5,4,1,6,7]=>[[1,2,3,6,7],[4],[5]]=>7
[2,3,5,4,1,7,6]=>[[1,2,3,6],[4,7],[5]]=>11
[2,3,5,4,6,1,7]=>[[1,2,3,5,7],[4],[6]]=>8
[2,3,5,4,6,7,1]=>[[1,2,3,5,6],[4],[7]]=>9
[2,3,5,4,7,1,6]=>[[1,2,3,5],[4,7],[6]]=>12
[2,3,5,4,7,6,1]=>[[1,2,3,5],[4,6],[7]]=>13
[2,3,5,6,1,4,7]=>[[1,2,3,4,7],[5,6]]=>8
[2,3,5,6,1,7,4]=>[[1,2,3,4,6],[5,7]]=>9
[2,3,5,6,4,1,7]=>[[1,2,3,4,7],[5],[6]]=>9
[2,3,5,6,4,7,1]=>[[1,2,3,4,6],[5],[7]]=>10
[2,3,5,6,7,1,4]=>[[1,2,3,4,5],[6,7]]=>10
[2,3,5,6,7,4,1]=>[[1,2,3,4,5],[6],[7]]=>11
[2,3,5,7,1,4,6]=>[[1,2,3,4],[5,6,7]]=>12
[2,3,5,7,1,6,4]=>[[1,2,3,4],[5,6],[7]]=>14
[2,3,5,7,4,1,6]=>[[1,2,3,4],[5,7],[6]]=>13
[2,3,5,7,4,6,1]=>[[1,2,3,4],[5,6],[7]]=>14
[2,3,5,7,6,1,4]=>[[1,2,3,4],[5,7],[6]]=>13
[2,3,5,7,6,4,1]=>[[1,2,3,4],[5],[6],[7]]=>15
[2,3,6,1,4,5,7]=>[[1,2,3,6,7],[4,5]]=>6
[2,3,6,1,4,7,5]=>[[1,2,3,6],[4,5,7]]=>10
[2,3,6,1,5,4,7]=>[[1,2,3,7],[4,5],[6]]=>11
[2,3,6,1,5,7,4]=>[[1,2,3,6],[4,5],[7]]=>12
[2,3,6,1,7,4,5]=>[[1,2,3,5],[4,6,7]]=>11
[2,3,6,1,7,5,4]=>[[1,2,3,5],[4,6],[7]]=>13
[2,3,6,4,1,5,7]=>[[1,2,3,6,7],[4],[5]]=>7
[2,3,6,4,1,7,5]=>[[1,2,3,6],[4,7],[5]]=>11
[2,3,6,4,5,1,7]=>[[1,2,3,5,7],[4],[6]]=>8
[2,3,6,4,5,7,1]=>[[1,2,3,5,6],[4],[7]]=>9
[2,3,6,4,7,1,5]=>[[1,2,3,5],[4,7],[6]]=>12
[2,3,6,4,7,5,1]=>[[1,2,3,5],[4,6],[7]]=>13
[2,3,6,5,1,4,7]=>[[1,2,3,7],[4,6],[5]]=>10
[2,3,6,5,1,7,4]=>[[1,2,3,6],[4,7],[5]]=>11
[2,3,6,5,4,1,7]=>[[1,2,3,7],[4],[5],[6]]=>12
[2,3,6,5,4,7,1]=>[[1,2,3,6],[4],[5],[7]]=>13
[2,3,6,5,7,1,4]=>[[1,2,3,5],[4,7],[6]]=>12
[2,3,6,5,7,4,1]=>[[1,2,3,5],[4],[6],[7]]=>14
[2,3,6,7,1,4,5]=>[[1,2,3,4],[5,6,7]]=>12
[2,3,6,7,1,5,4]=>[[1,2,3,4],[5,6],[7]]=>14
[2,3,6,7,4,1,5]=>[[1,2,3,4],[5,7],[6]]=>13
[2,3,6,7,4,5,1]=>[[1,2,3,4],[5,6],[7]]=>14
[2,3,6,7,5,1,4]=>[[1,2,3,4],[5,7],[6]]=>13
[2,3,6,7,5,4,1]=>[[1,2,3,4],[5],[6],[7]]=>15
[2,3,7,1,4,5,6]=>[[1,2,3,6,7],[4,5]]=>6
[2,3,7,1,4,6,5]=>[[1,2,3,6],[4,5],[7]]=>12
[2,3,7,1,5,4,6]=>[[1,2,3,7],[4,5],[6]]=>11
[2,3,7,1,5,6,4]=>[[1,2,3,6],[4,5],[7]]=>12
[2,3,7,1,6,4,5]=>[[1,2,3,7],[4,5],[6]]=>11
[2,3,7,1,6,5,4]=>[[1,2,3],[4,5],[6],[7]]=>17
[2,3,7,4,1,5,6]=>[[1,2,3,6,7],[4],[5]]=>7
[2,3,7,4,1,6,5]=>[[1,2,3,6],[4,7],[5]]=>11
[2,3,7,4,5,1,6]=>[[1,2,3,5,7],[4],[6]]=>8
[2,3,7,4,5,6,1]=>[[1,2,3,5,6],[4],[7]]=>9
[2,3,7,4,6,1,5]=>[[1,2,3,5],[4,7],[6]]=>12
[2,3,7,4,6,5,1]=>[[1,2,3,5],[4],[6],[7]]=>14
[2,3,7,5,1,4,6]=>[[1,2,3,7],[4,6],[5]]=>10
[2,3,7,5,1,6,4]=>[[1,2,3,6],[4,7],[5]]=>11
[2,3,7,5,4,1,6]=>[[1,2,3,7],[4],[5],[6]]=>12
[2,3,7,5,4,6,1]=>[[1,2,3,6],[4],[5],[7]]=>13
[2,3,7,5,6,1,4]=>[[1,2,3,5],[4,7],[6]]=>12
[2,3,7,5,6,4,1]=>[[1,2,3,5],[4],[6],[7]]=>14
[2,3,7,6,1,4,5]=>[[1,2,3,7],[4,6],[5]]=>10
[2,3,7,6,1,5,4]=>[[1,2,3],[4,6],[5],[7]]=>16
[2,3,7,6,4,1,5]=>[[1,2,3,7],[4],[5],[6]]=>12
[2,3,7,6,4,5,1]=>[[1,2,3,6],[4],[5],[7]]=>13
[2,3,7,6,5,1,4]=>[[1,2,3],[4,7],[5],[6]]=>15
[2,3,7,6,5,4,1]=>[[1,2,3],[4],[5],[6],[7]]=>18
[2,4,1,3,5,6,7]=>[[1,2,5,6,7],[3,4]]=>4
[2,4,1,3,5,7,6]=>[[1,2,5,6],[3,4,7]]=>6
[2,4,1,3,6,5,7]=>[[1,2,5,7],[3,4,6]]=>5
[2,4,1,3,6,7,5]=>[[1,2,5,6],[3,4,7]]=>6
[2,4,1,3,7,5,6]=>[[1,2,5,7],[3,4,6]]=>5
[2,4,1,3,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>11
[2,4,1,5,3,6,7]=>[[1,2,4,6,7],[3,5]]=>5
[2,4,1,5,3,7,6]=>[[1,2,4,6],[3,5,7]]=>9
[2,4,1,5,6,3,7]=>[[1,2,4,5,7],[3,6]]=>6
[2,4,1,5,6,7,3]=>[[1,2,4,5,6],[3,7]]=>7
[2,4,1,5,7,3,6]=>[[1,2,4,5],[3,6,7]]=>10
[2,4,1,5,7,6,3]=>[[1,2,4,5],[3,6],[7]]=>12
[2,4,1,6,3,5,7]=>[[1,2,4,7],[3,5,6]]=>8
[2,4,1,6,3,7,5]=>[[1,2,4,6],[3,5,7]]=>9
[2,4,1,6,5,3,7]=>[[1,2,4,7],[3,5],[6]]=>10
[2,4,1,6,5,7,3]=>[[1,2,4,6],[3,5],[7]]=>11
[2,4,1,6,7,3,5]=>[[1,2,4,5],[3,6,7]]=>10
[2,4,1,6,7,5,3]=>[[1,2,4,5],[3,6],[7]]=>12
[2,4,1,7,3,5,6]=>[[1,2,4,7],[3,5,6]]=>8
[2,4,1,7,3,6,5]=>[[1,2,4],[3,5,6],[7]]=>14
[2,4,1,7,5,3,6]=>[[1,2,4,7],[3,5],[6]]=>10
[2,4,1,7,5,6,3]=>[[1,2,4,6],[3,5],[7]]=>11
[2,4,1,7,6,3,5]=>[[1,2,4],[3,5,7],[6]]=>13
[2,4,1,7,6,5,3]=>[[1,2,4],[3,5],[6],[7]]=>16
[2,4,3,1,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>5
[2,4,3,1,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>9
[2,4,3,1,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>8
[2,4,3,1,6,7,5]=>[[1,2,5,6],[3,7],[4]]=>9
[2,4,3,1,7,5,6]=>[[1,2,5,7],[3,6],[4]]=>8
[2,4,3,1,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>12
[2,4,3,5,1,6,7]=>[[1,2,4,6,7],[3],[5]]=>6
[2,4,3,5,1,7,6]=>[[1,2,4,6],[3,7],[5]]=>10
[2,4,3,5,6,1,7]=>[[1,2,4,5,7],[3],[6]]=>7
[2,4,3,5,6,7,1]=>[[1,2,4,5,6],[3],[7]]=>8
[2,4,3,5,7,1,6]=>[[1,2,4,5],[3,7],[6]]=>11
[2,4,3,5,7,6,1]=>[[1,2,4,5],[3,6],[7]]=>12
[2,4,3,6,1,5,7]=>[[1,2,4,7],[3,6],[5]]=>9
[2,4,3,6,1,7,5]=>[[1,2,4,6],[3,7],[5]]=>10
[2,4,3,6,5,1,7]=>[[1,2,4,7],[3,5],[6]]=>10
[2,4,3,6,5,7,1]=>[[1,2,4,6],[3,5],[7]]=>11
[2,4,3,6,7,1,5]=>[[1,2,4,5],[3,7],[6]]=>11
[2,4,3,6,7,5,1]=>[[1,2,4,5],[3,6],[7]]=>12
[2,4,3,7,1,5,6]=>[[1,2,4,7],[3,6],[5]]=>9
[2,4,3,7,1,6,5]=>[[1,2,4],[3,6],[5,7]]=>13
[2,4,3,7,5,1,6]=>[[1,2,4,7],[3,5],[6]]=>10
[2,4,3,7,5,6,1]=>[[1,2,4,6],[3,5],[7]]=>11
[2,4,3,7,6,1,5]=>[[1,2,4],[3,5],[6,7]]=>15
[2,4,3,7,6,5,1]=>[[1,2,4],[3,5],[6],[7]]=>16
[2,4,5,1,3,6,7]=>[[1,2,3,6,7],[4,5]]=>6
[2,4,5,1,3,7,6]=>[[1,2,3,6],[4,5,7]]=>10
[2,4,5,1,6,3,7]=>[[1,2,3,5,7],[4,6]]=>7
[2,4,5,1,6,7,3]=>[[1,2,3,5,6],[4,7]]=>8
[2,4,5,1,7,3,6]=>[[1,2,3,5],[4,6,7]]=>11
[2,4,5,1,7,6,3]=>[[1,2,3,5],[4,6],[7]]=>13
[2,4,5,3,1,6,7]=>[[1,2,3,6,7],[4],[5]]=>7
[2,4,5,3,1,7,6]=>[[1,2,3,6],[4,7],[5]]=>11
[2,4,5,3,6,1,7]=>[[1,2,3,5,7],[4],[6]]=>8
[2,4,5,3,6,7,1]=>[[1,2,3,5,6],[4],[7]]=>9
[2,4,5,3,7,1,6]=>[[1,2,3,5],[4,7],[6]]=>12
[2,4,5,3,7,6,1]=>[[1,2,3,5],[4,6],[7]]=>13
[2,4,5,6,1,3,7]=>[[1,2,3,4,7],[5,6]]=>8
[2,4,5,6,1,7,3]=>[[1,2,3,4,6],[5,7]]=>9
[2,4,5,6,3,1,7]=>[[1,2,3,4,7],[5],[6]]=>9
[2,4,5,6,3,7,1]=>[[1,2,3,4,6],[5],[7]]=>10
[2,4,5,6,7,1,3]=>[[1,2,3,4,5],[6,7]]=>10
[2,4,5,6,7,3,1]=>[[1,2,3,4,5],[6],[7]]=>11
[2,4,5,7,1,3,6]=>[[1,2,3,4],[5,6,7]]=>12
[2,4,5,7,1,6,3]=>[[1,2,3,4],[5,6],[7]]=>14
[2,4,5,7,3,1,6]=>[[1,2,3,4],[5,7],[6]]=>13
[2,4,5,7,3,6,1]=>[[1,2,3,4],[5,6],[7]]=>14
[2,4,5,7,6,1,3]=>[[1,2,3,4],[5,7],[6]]=>13
[2,4,5,7,6,3,1]=>[[1,2,3,4],[5],[6],[7]]=>15
[2,4,6,1,3,5,7]=>[[1,2,3,7],[4,5,6]]=>9
[2,4,6,1,3,7,5]=>[[1,2,3,6],[4,5,7]]=>10
[2,4,6,1,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>11
[2,4,6,1,5,7,3]=>[[1,2,3,6],[4,5],[7]]=>12
[2,4,6,1,7,3,5]=>[[1,2,3,5],[4,6,7]]=>11
[2,4,6,1,7,5,3]=>[[1,2,3,5],[4,6],[7]]=>13
[2,4,6,3,1,5,7]=>[[1,2,3,7],[4,6],[5]]=>10
[2,4,6,3,1,7,5]=>[[1,2,3,6],[4,7],[5]]=>11
[2,4,6,3,5,1,7]=>[[1,2,3,7],[4,5],[6]]=>11
[2,4,6,3,5,7,1]=>[[1,2,3,6],[4,5],[7]]=>12
[2,4,6,3,7,1,5]=>[[1,2,3,5],[4,7],[6]]=>12
[2,4,6,3,7,5,1]=>[[1,2,3,5],[4,6],[7]]=>13
[2,4,6,5,1,3,7]=>[[1,2,3,7],[4,6],[5]]=>10
[2,4,6,5,1,7,3]=>[[1,2,3,6],[4,7],[5]]=>11
[2,4,6,5,3,1,7]=>[[1,2,3,7],[4],[5],[6]]=>12
[2,4,6,5,3,7,1]=>[[1,2,3,6],[4],[5],[7]]=>13
[2,4,6,5,7,1,3]=>[[1,2,3,5],[4,7],[6]]=>12
[2,4,6,5,7,3,1]=>[[1,2,3,5],[4],[6],[7]]=>14
[2,4,6,7,1,3,5]=>[[1,2,3,4],[5,6,7]]=>12
[2,4,6,7,1,5,3]=>[[1,2,3,4],[5,6],[7]]=>14
[2,4,6,7,3,1,5]=>[[1,2,3,4],[5,7],[6]]=>13
[2,4,6,7,3,5,1]=>[[1,2,3,4],[5,6],[7]]=>14
[2,4,6,7,5,1,3]=>[[1,2,3,4],[5,7],[6]]=>13
[2,4,6,7,5,3,1]=>[[1,2,3,4],[5],[6],[7]]=>15
[2,4,7,1,3,5,6]=>[[1,2,3,7],[4,5,6]]=>9
[2,4,7,1,3,6,5]=>[[1,2,3],[4,5,6],[7]]=>15
[2,4,7,1,5,3,6]=>[[1,2,3,7],[4,5],[6]]=>11
[2,4,7,1,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>12
[2,4,7,1,6,3,5]=>[[1,2,3],[4,5,7],[6]]=>14
[2,4,7,1,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>17
[2,4,7,3,1,5,6]=>[[1,2,3,7],[4,6],[5]]=>10
[2,4,7,3,1,6,5]=>[[1,2,3],[4,6],[5,7]]=>14
[2,4,7,3,5,1,6]=>[[1,2,3,7],[4,5],[6]]=>11
[2,4,7,3,5,6,1]=>[[1,2,3,6],[4,5],[7]]=>12
[2,4,7,3,6,1,5]=>[[1,2,3],[4,5],[6,7]]=>16
[2,4,7,3,6,5,1]=>[[1,2,3],[4,5],[6],[7]]=>17
[2,4,7,5,1,3,6]=>[[1,2,3,7],[4,6],[5]]=>10
[2,4,7,5,1,6,3]=>[[1,2,3,6],[4,7],[5]]=>11
[2,4,7,5,3,1,6]=>[[1,2,3,7],[4],[5],[6]]=>12
[2,4,7,5,3,6,1]=>[[1,2,3,6],[4],[5],[7]]=>13
[2,4,7,5,6,1,3]=>[[1,2,3,5],[4,7],[6]]=>12
[2,4,7,5,6,3,1]=>[[1,2,3,5],[4],[6],[7]]=>14
[2,4,7,6,1,3,5]=>[[1,2,3],[4,6,7],[5]]=>13
[2,4,7,6,1,5,3]=>[[1,2,3],[4,6],[5],[7]]=>16
[2,4,7,6,3,1,5]=>[[1,2,3],[4,7],[5],[6]]=>15
[2,4,7,6,3,5,1]=>[[1,2,3],[4,6],[5],[7]]=>16
[2,4,7,6,5,1,3]=>[[1,2,3],[4,7],[5],[6]]=>15
[2,4,7,6,5,3,1]=>[[1,2,3],[4],[5],[6],[7]]=>18
[2,5,1,3,4,6,7]=>[[1,2,5,6,7],[3,4]]=>4
[2,5,1,3,4,7,6]=>[[1,2,5,6],[3,4,7]]=>6
[2,5,1,3,6,4,7]=>[[1,2,5,7],[3,4,6]]=>5
[2,5,1,3,6,7,4]=>[[1,2,5,6],[3,4,7]]=>6
[2,5,1,3,7,4,6]=>[[1,2,5,7],[3,4,6]]=>5
[2,5,1,3,7,6,4]=>[[1,2,5],[3,4,6],[7]]=>11
[2,5,1,4,3,6,7]=>[[1,2,6,7],[3,4],[5]]=>8
[2,5,1,4,3,7,6]=>[[1,2,6],[3,4,7],[5]]=>9
[2,5,1,4,6,3,7]=>[[1,2,5,7],[3,4],[6]]=>9
[2,5,1,4,6,7,3]=>[[1,2,5,6],[3,4],[7]]=>10
[2,5,1,4,7,3,6]=>[[1,2,5],[3,4,7],[6]]=>10
[2,5,1,4,7,6,3]=>[[1,2,5],[3,4,6],[7]]=>11
[2,5,1,6,3,4,7]=>[[1,2,4,7],[3,5,6]]=>8
[2,5,1,6,3,7,4]=>[[1,2,4,6],[3,5,7]]=>9
[2,5,1,6,4,3,7]=>[[1,2,4,7],[3,5],[6]]=>10
[2,5,1,6,4,7,3]=>[[1,2,4,6],[3,5],[7]]=>11
[2,5,1,6,7,3,4]=>[[1,2,4,5],[3,6,7]]=>10
[2,5,1,6,7,4,3]=>[[1,2,4,5],[3,6],[7]]=>12
[2,5,1,7,3,4,6]=>[[1,2,4,7],[3,5,6]]=>8
[2,5,1,7,3,6,4]=>[[1,2,4],[3,5,6],[7]]=>14
[2,5,1,7,4,3,6]=>[[1,2,4],[3,5,7],[6]]=>13
[2,5,1,7,4,6,3]=>[[1,2,4],[3,5,6],[7]]=>14
[2,5,1,7,6,3,4]=>[[1,2,4],[3,5,7],[6]]=>13
[2,5,1,7,6,4,3]=>[[1,2,4],[3,5],[6],[7]]=>16
[2,5,3,1,4,6,7]=>[[1,2,5,6,7],[3],[4]]=>5
[2,5,3,1,4,7,6]=>[[1,2,5,6],[3,7],[4]]=>9
[2,5,3,1,6,4,7]=>[[1,2,5,7],[3,6],[4]]=>8
[2,5,3,1,6,7,4]=>[[1,2,5,6],[3,7],[4]]=>9
[2,5,3,1,7,4,6]=>[[1,2,5,7],[3,6],[4]]=>8
[2,5,3,1,7,6,4]=>[[1,2,5],[3,6],[4,7]]=>12
[2,5,3,4,1,6,7]=>[[1,2,4,6,7],[3],[5]]=>6
[2,5,3,4,1,7,6]=>[[1,2,4,6],[3,7],[5]]=>10
[2,5,3,4,6,1,7]=>[[1,2,4,5,7],[3],[6]]=>7
[2,5,3,4,6,7,1]=>[[1,2,4,5,6],[3],[7]]=>8
[2,5,3,4,7,1,6]=>[[1,2,4,5],[3,7],[6]]=>11
[2,5,3,4,7,6,1]=>[[1,2,4,5],[3,6],[7]]=>12
[2,5,3,6,1,4,7]=>[[1,2,4,7],[3,6],[5]]=>9
[2,5,3,6,1,7,4]=>[[1,2,4,6],[3,7],[5]]=>10
[2,5,3,6,4,1,7]=>[[1,2,4,7],[3,5],[6]]=>10
[2,5,3,6,4,7,1]=>[[1,2,4,6],[3,5],[7]]=>11
[2,5,3,6,7,1,4]=>[[1,2,4,5],[3,7],[6]]=>11
[2,5,3,6,7,4,1]=>[[1,2,4,5],[3,6],[7]]=>12
[2,5,3,7,1,4,6]=>[[1,2,4,7],[3,6],[5]]=>9
[2,5,3,7,1,6,4]=>[[1,2,4],[3,6],[5,7]]=>13
[2,5,3,7,4,1,6]=>[[1,2,4,7],[3,5],[6]]=>10
[2,5,3,7,4,6,1]=>[[1,2,4,6],[3,5],[7]]=>11
[2,5,3,7,6,1,4]=>[[1,2,4],[3,5],[6,7]]=>15
[2,5,3,7,6,4,1]=>[[1,2,4],[3,5],[6],[7]]=>16
[2,5,4,1,3,6,7]=>[[1,2,6,7],[3,5],[4]]=>7
[2,5,4,1,3,7,6]=>[[1,2,6],[3,5,7],[4]]=>8
[2,5,4,1,6,3,7]=>[[1,2,5,7],[3,6],[4]]=>8
[2,5,4,1,6,7,3]=>[[1,2,5,6],[3,7],[4]]=>9
[2,5,4,1,7,3,6]=>[[1,2,5],[3,6,7],[4]]=>11
[2,5,4,1,7,6,3]=>[[1,2,5],[3,6],[4,7]]=>12
[2,5,4,3,1,6,7]=>[[1,2,6,7],[3],[4],[5]]=>9
[2,5,4,3,1,7,6]=>[[1,2,6],[3,7],[4],[5]]=>12
[2,5,4,3,6,1,7]=>[[1,2,5,7],[3],[4],[6]]=>10
[2,5,4,3,6,7,1]=>[[1,2,5,6],[3],[4],[7]]=>11
[2,5,4,3,7,1,6]=>[[1,2,5],[3,7],[4],[6]]=>13
[2,5,4,3,7,6,1]=>[[1,2,5],[3,6],[4],[7]]=>14
[2,5,4,6,1,3,7]=>[[1,2,4,7],[3,6],[5]]=>9
[2,5,4,6,1,7,3]=>[[1,2,4,6],[3,7],[5]]=>10
[2,5,4,6,3,1,7]=>[[1,2,4,7],[3],[5],[6]]=>11
[2,5,4,6,3,7,1]=>[[1,2,4,6],[3],[5],[7]]=>12
[2,5,4,6,7,1,3]=>[[1,2,4,5],[3,7],[6]]=>11
[2,5,4,6,7,3,1]=>[[1,2,4,5],[3],[6],[7]]=>13
[2,5,4,7,1,3,6]=>[[1,2,4],[3,6,7],[5]]=>12
[2,5,4,7,1,6,3]=>[[1,2,4],[3,6],[5,7]]=>13
[2,5,4,7,3,1,6]=>[[1,2,4],[3,7],[5],[6]]=>14
[2,5,4,7,3,6,1]=>[[1,2,4],[3,6],[5],[7]]=>15
[2,5,4,7,6,1,3]=>[[1,2,4],[3,5],[6,7]]=>15
[2,5,4,7,6,3,1]=>[[1,2,4],[3,5],[6],[7]]=>16
[2,5,6,1,3,4,7]=>[[1,2,3,7],[4,5,6]]=>9
[2,5,6,1,3,7,4]=>[[1,2,3,6],[4,5,7]]=>10
[2,5,6,1,4,3,7]=>[[1,2,3,7],[4,5],[6]]=>11
[2,5,6,1,4,7,3]=>[[1,2,3,6],[4,5],[7]]=>12
[2,5,6,1,7,3,4]=>[[1,2,3,5],[4,6,7]]=>11
[2,5,6,1,7,4,3]=>[[1,2,3,5],[4,6],[7]]=>13
[2,5,6,3,1,4,7]=>[[1,2,3,7],[4,6],[5]]=>10
[2,5,6,3,1,7,4]=>[[1,2,3,6],[4,7],[5]]=>11
[2,5,6,3,4,1,7]=>[[1,2,3,7],[4,5],[6]]=>11
[2,5,6,3,4,7,1]=>[[1,2,3,6],[4,5],[7]]=>12
[2,5,6,3,7,1,4]=>[[1,2,3,5],[4,7],[6]]=>12
[2,5,6,3,7,4,1]=>[[1,2,3,5],[4,6],[7]]=>13
[2,5,6,4,1,3,7]=>[[1,2,3,7],[4,6],[5]]=>10
[2,5,6,4,1,7,3]=>[[1,2,3,6],[4,7],[5]]=>11
[2,5,6,4,3,1,7]=>[[1,2,3,7],[4],[5],[6]]=>12
[2,5,6,4,3,7,1]=>[[1,2,3,6],[4],[5],[7]]=>13
[2,5,6,4,7,1,3]=>[[1,2,3,5],[4,7],[6]]=>12
[2,5,6,4,7,3,1]=>[[1,2,3,5],[4],[6],[7]]=>14
[2,5,6,7,1,3,4]=>[[1,2,3,4],[5,6,7]]=>12
[2,5,6,7,1,4,3]=>[[1,2,3,4],[5,6],[7]]=>14
[2,5,6,7,3,1,4]=>[[1,2,3,4],[5,7],[6]]=>13
[2,5,6,7,3,4,1]=>[[1,2,3,4],[5,6],[7]]=>14
[2,5,6,7,4,1,3]=>[[1,2,3,4],[5,7],[6]]=>13
[2,5,6,7,4,3,1]=>[[1,2,3,4],[5],[6],[7]]=>15
[2,5,7,1,3,4,6]=>[[1,2,3,7],[4,5,6]]=>9
[2,5,7,1,3,6,4]=>[[1,2,3],[4,5,6],[7]]=>15
[2,5,7,1,4,3,6]=>[[1,2,3],[4,5,7],[6]]=>14
[2,5,7,1,4,6,3]=>[[1,2,3],[4,5,6],[7]]=>15
[2,5,7,1,6,3,4]=>[[1,2,3],[4,5,7],[6]]=>14
[2,5,7,1,6,4,3]=>[[1,2,3],[4,5],[6],[7]]=>17
[2,5,7,3,1,4,6]=>[[1,2,3,7],[4,6],[5]]=>10
[2,5,7,3,1,6,4]=>[[1,2,3],[4,6],[5,7]]=>14
[2,5,7,3,4,1,6]=>[[1,2,3,7],[4,5],[6]]=>11
[2,5,7,3,4,6,1]=>[[1,2,3,6],[4,5],[7]]=>12
[2,5,7,3,6,1,4]=>[[1,2,3],[4,5],[6,7]]=>16
[2,5,7,3,6,4,1]=>[[1,2,3],[4,5],[6],[7]]=>17
[2,5,7,4,1,3,6]=>[[1,2,3],[4,6,7],[5]]=>13
[2,5,7,4,1,6,3]=>[[1,2,3],[4,6],[5,7]]=>14
[2,5,7,4,3,1,6]=>[[1,2,3],[4,7],[5],[6]]=>15
[2,5,7,4,3,6,1]=>[[1,2,3],[4,6],[5],[7]]=>16
[2,5,7,4,6,1,3]=>[[1,2,3],[4,5],[6,7]]=>16
[2,5,7,4,6,3,1]=>[[1,2,3],[4,5],[6],[7]]=>17
[2,5,7,6,1,3,4]=>[[1,2,3],[4,6,7],[5]]=>13
[2,5,7,6,1,4,3]=>[[1,2,3],[4,6],[5],[7]]=>16
[2,5,7,6,3,1,4]=>[[1,2,3],[4,7],[5],[6]]=>15
[2,5,7,6,3,4,1]=>[[1,2,3],[4,6],[5],[7]]=>16
[2,5,7,6,4,1,3]=>[[1,2,3],[4,7],[5],[6]]=>15
[2,5,7,6,4,3,1]=>[[1,2,3],[4],[5],[6],[7]]=>18
[2,6,1,3,4,5,7]=>[[1,2,5,6,7],[3,4]]=>4
[2,6,1,3,4,7,5]=>[[1,2,5,6],[3,4,7]]=>6
[2,6,1,3,5,4,7]=>[[1,2,5,7],[3,4],[6]]=>9
[2,6,1,3,5,7,4]=>[[1,2,5,6],[3,4],[7]]=>10
[2,6,1,3,7,4,5]=>[[1,2,5,7],[3,4,6]]=>5
[2,6,1,3,7,5,4]=>[[1,2,5],[3,4,6],[7]]=>11
[2,6,1,4,3,5,7]=>[[1,2,6,7],[3,4],[5]]=>8
[2,6,1,4,3,7,5]=>[[1,2,6],[3,4,7],[5]]=>9
[2,6,1,4,5,3,7]=>[[1,2,5,7],[3,4],[6]]=>9
[2,6,1,4,5,7,3]=>[[1,2,5,6],[3,4],[7]]=>10
[2,6,1,4,7,3,5]=>[[1,2,5],[3,4,7],[6]]=>10
[2,6,1,4,7,5,3]=>[[1,2,5],[3,4,6],[7]]=>11
[2,6,1,5,3,4,7]=>[[1,2,6,7],[3,4],[5]]=>8
[2,6,1,5,3,7,4]=>[[1,2,6],[3,4,7],[5]]=>9
[2,6,1,5,4,3,7]=>[[1,2,7],[3,4],[5],[6]]=>13
[2,6,1,5,4,7,3]=>[[1,2,6],[3,4],[5],[7]]=>14
[2,6,1,5,7,3,4]=>[[1,2,5],[3,4,7],[6]]=>10
[2,6,1,5,7,4,3]=>[[1,2,5],[3,4],[6],[7]]=>15
[2,6,1,7,3,4,5]=>[[1,2,4,7],[3,5,6]]=>8
[2,6,1,7,3,5,4]=>[[1,2,4],[3,5,6],[7]]=>14
[2,6,1,7,4,3,5]=>[[1,2,4],[3,5,7],[6]]=>13
[2,6,1,7,4,5,3]=>[[1,2,4],[3,5,6],[7]]=>14
[2,6,1,7,5,3,4]=>[[1,2,4],[3,5,7],[6]]=>13
[2,6,1,7,5,4,3]=>[[1,2,4],[3,5],[6],[7]]=>16
[2,6,3,1,4,5,7]=>[[1,2,5,6,7],[3],[4]]=>5
[2,6,3,1,4,7,5]=>[[1,2,5,6],[3,7],[4]]=>9
[2,6,3,1,5,4,7]=>[[1,2,5,7],[3,6],[4]]=>8
[2,6,3,1,5,7,4]=>[[1,2,5,6],[3,7],[4]]=>9
[2,6,3,1,7,4,5]=>[[1,2,5,7],[3,6],[4]]=>8
[2,6,3,1,7,5,4]=>[[1,2,5],[3,6],[4,7]]=>12
[2,6,3,4,1,5,7]=>[[1,2,4,6,7],[3],[5]]=>6
[2,6,3,4,1,7,5]=>[[1,2,4,6],[3,7],[5]]=>10
[2,6,3,4,5,1,7]=>[[1,2,4,5,7],[3],[6]]=>7
[2,6,3,4,5,7,1]=>[[1,2,4,5,6],[3],[7]]=>8
[2,6,3,4,7,1,5]=>[[1,2,4,5],[3,7],[6]]=>11
[2,6,3,4,7,5,1]=>[[1,2,4,5],[3,6],[7]]=>12
[2,6,3,5,1,4,7]=>[[1,2,4,7],[3,6],[5]]=>9
[2,6,3,5,1,7,4]=>[[1,2,4,6],[3,7],[5]]=>10
[2,6,3,5,4,1,7]=>[[1,2,4,7],[3],[5],[6]]=>11
[2,6,3,5,4,7,1]=>[[1,2,4,6],[3],[5],[7]]=>12
[2,6,3,5,7,1,4]=>[[1,2,4,5],[3,7],[6]]=>11
[2,6,3,5,7,4,1]=>[[1,2,4,5],[3],[6],[7]]=>13
[2,6,3,7,1,4,5]=>[[1,2,4,7],[3,6],[5]]=>9
[2,6,3,7,1,5,4]=>[[1,2,4],[3,6],[5,7]]=>13
[2,6,3,7,4,1,5]=>[[1,2,4,7],[3,5],[6]]=>10
[2,6,3,7,4,5,1]=>[[1,2,4,6],[3,5],[7]]=>11
[2,6,3,7,5,1,4]=>[[1,2,4],[3,5],[6,7]]=>15
[2,6,3,7,5,4,1]=>[[1,2,4],[3,5],[6],[7]]=>16
[2,6,4,1,3,5,7]=>[[1,2,6,7],[3,5],[4]]=>7
[2,6,4,1,3,7,5]=>[[1,2,6],[3,5,7],[4]]=>8
[2,6,4,1,5,3,7]=>[[1,2,5,7],[3,6],[4]]=>8
[2,6,4,1,5,7,3]=>[[1,2,5,6],[3,7],[4]]=>9
[2,6,4,1,7,3,5]=>[[1,2,5],[3,6,7],[4]]=>11
[2,6,4,1,7,5,3]=>[[1,2,5],[3,6],[4,7]]=>12
[2,6,4,3,1,5,7]=>[[1,2,6,7],[3],[4],[5]]=>9
[2,6,4,3,1,7,5]=>[[1,2,6],[3,7],[4],[5]]=>12
[2,6,4,3,5,1,7]=>[[1,2,5,7],[3],[4],[6]]=>10
[2,6,4,3,5,7,1]=>[[1,2,5,6],[3],[4],[7]]=>11
[2,6,4,3,7,1,5]=>[[1,2,5],[3,7],[4],[6]]=>13
[2,6,4,3,7,5,1]=>[[1,2,5],[3,6],[4],[7]]=>14
[2,6,4,5,1,3,7]=>[[1,2,4,7],[3,6],[5]]=>9
[2,6,4,5,1,7,3]=>[[1,2,4,6],[3,7],[5]]=>10
[2,6,4,5,3,1,7]=>[[1,2,4,7],[3],[5],[6]]=>11
[2,6,4,5,3,7,1]=>[[1,2,4,6],[3],[5],[7]]=>12
[2,6,4,5,7,1,3]=>[[1,2,4,5],[3,7],[6]]=>11
[2,6,4,5,7,3,1]=>[[1,2,4,5],[3],[6],[7]]=>13
[2,6,4,7,1,3,5]=>[[1,2,4],[3,6,7],[5]]=>12
[2,6,4,7,1,5,3]=>[[1,2,4],[3,6],[5,7]]=>13
[2,6,4,7,3,1,5]=>[[1,2,4],[3,7],[5],[6]]=>14
[2,6,4,7,3,5,1]=>[[1,2,4],[3,6],[5],[7]]=>15
[2,6,4,7,5,1,3]=>[[1,2,4],[3,5],[6,7]]=>15
[2,6,4,7,5,3,1]=>[[1,2,4],[3,5],[6],[7]]=>16
[2,6,5,1,3,4,7]=>[[1,2,6,7],[3,5],[4]]=>7
[2,6,5,1,3,7,4]=>[[1,2,6],[3,5,7],[4]]=>8
[2,6,5,1,4,3,7]=>[[1,2,7],[3,5],[4],[6]]=>12
[2,6,5,1,4,7,3]=>[[1,2,6],[3,5],[4],[7]]=>13
[2,6,5,1,7,3,4]=>[[1,2,5],[3,6,7],[4]]=>11
[2,6,5,1,7,4,3]=>[[1,2,5],[3,6],[4],[7]]=>14
[2,6,5,3,1,4,7]=>[[1,2,6,7],[3],[4],[5]]=>9
[2,6,5,3,1,7,4]=>[[1,2,6],[3,7],[4],[5]]=>12
[2,6,5,3,4,1,7]=>[[1,2,5,7],[3],[4],[6]]=>10
[2,6,5,3,4,7,1]=>[[1,2,5,6],[3],[4],[7]]=>11
[2,6,5,3,7,1,4]=>[[1,2,5],[3,7],[4],[6]]=>13
[2,6,5,3,7,4,1]=>[[1,2,5],[3,6],[4],[7]]=>14
[2,6,5,4,1,3,7]=>[[1,2,7],[3,6],[4],[5]]=>11
[2,6,5,4,1,7,3]=>[[1,2,6],[3,7],[4],[5]]=>12
[2,6,5,4,3,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>14
[2,6,5,4,3,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>15
[2,6,5,4,7,1,3]=>[[1,2,5],[3,7],[4],[6]]=>13
[2,6,5,4,7,3,1]=>[[1,2,5],[3],[4],[6],[7]]=>16
[2,6,5,7,1,3,4]=>[[1,2,4],[3,6,7],[5]]=>12
[2,6,5,7,1,4,3]=>[[1,2,4],[3,6],[5],[7]]=>15
[2,6,5,7,3,1,4]=>[[1,2,4],[3,7],[5],[6]]=>14
[2,6,5,7,3,4,1]=>[[1,2,4],[3,6],[5],[7]]=>15
[2,6,5,7,4,1,3]=>[[1,2,4],[3,7],[5],[6]]=>14
[2,6,5,7,4,3,1]=>[[1,2,4],[3],[5],[6],[7]]=>17
[2,6,7,1,3,4,5]=>[[1,2,3,7],[4,5,6]]=>9
[2,6,7,1,3,5,4]=>[[1,2,3],[4,5,6],[7]]=>15
[2,6,7,1,4,3,5]=>[[1,2,3],[4,5,7],[6]]=>14
[2,6,7,1,4,5,3]=>[[1,2,3],[4,5,6],[7]]=>15
[2,6,7,1,5,3,4]=>[[1,2,3],[4,5,7],[6]]=>14
[2,6,7,1,5,4,3]=>[[1,2,3],[4,5],[6],[7]]=>17
[2,6,7,3,1,4,5]=>[[1,2,3,7],[4,6],[5]]=>10
[2,6,7,3,1,5,4]=>[[1,2,3],[4,6],[5,7]]=>14
[2,6,7,3,4,1,5]=>[[1,2,3,7],[4,5],[6]]=>11
[2,6,7,3,4,5,1]=>[[1,2,3,6],[4,5],[7]]=>12
[2,6,7,3,5,1,4]=>[[1,2,3],[4,5],[6,7]]=>16
[2,6,7,3,5,4,1]=>[[1,2,3],[4,5],[6],[7]]=>17
[2,6,7,4,1,3,5]=>[[1,2,3],[4,6,7],[5]]=>13
[2,6,7,4,1,5,3]=>[[1,2,3],[4,6],[5,7]]=>14
[2,6,7,4,3,1,5]=>[[1,2,3],[4,7],[5],[6]]=>15
[2,6,7,4,3,5,1]=>[[1,2,3],[4,6],[5],[7]]=>16
[2,6,7,4,5,1,3]=>[[1,2,3],[4,5],[6,7]]=>16
[2,6,7,4,5,3,1]=>[[1,2,3],[4,5],[6],[7]]=>17
[2,6,7,5,1,3,4]=>[[1,2,3],[4,6,7],[5]]=>13
[2,6,7,5,1,4,3]=>[[1,2,3],[4,6],[5],[7]]=>16
[2,6,7,5,3,1,4]=>[[1,2,3],[4,7],[5],[6]]=>15
[2,6,7,5,3,4,1]=>[[1,2,3],[4,6],[5],[7]]=>16
[2,6,7,5,4,1,3]=>[[1,2,3],[4,7],[5],[6]]=>15
[2,6,7,5,4,3,1]=>[[1,2,3],[4],[5],[6],[7]]=>18
[2,7,1,3,4,5,6]=>[[1,2,5,6,7],[3,4]]=>4
[2,7,1,3,4,6,5]=>[[1,2,5,6],[3,4],[7]]=>10
[2,7,1,3,5,4,6]=>[[1,2,5,7],[3,4],[6]]=>9
[2,7,1,3,5,6,4]=>[[1,2,5,6],[3,4],[7]]=>10
[2,7,1,3,6,4,5]=>[[1,2,5,7],[3,4],[6]]=>9
[2,7,1,3,6,5,4]=>[[1,2,5],[3,4],[6],[7]]=>15
[2,7,1,4,3,5,6]=>[[1,2,6,7],[3,4],[5]]=>8
[2,7,1,4,3,6,5]=>[[1,2,6],[3,4,7],[5]]=>9
[2,7,1,4,5,3,6]=>[[1,2,5,7],[3,4],[6]]=>9
[2,7,1,4,5,6,3]=>[[1,2,5,6],[3,4],[7]]=>10
[2,7,1,4,6,3,5]=>[[1,2,5],[3,4,7],[6]]=>10
[2,7,1,4,6,5,3]=>[[1,2,5],[3,4],[6],[7]]=>15
[2,7,1,5,3,4,6]=>[[1,2,6,7],[3,4],[5]]=>8
[2,7,1,5,3,6,4]=>[[1,2,6],[3,4,7],[5]]=>9
[2,7,1,5,4,3,6]=>[[1,2,7],[3,4],[5],[6]]=>13
[2,7,1,5,4,6,3]=>[[1,2,6],[3,4],[5],[7]]=>14
[2,7,1,5,6,3,4]=>[[1,2,5],[3,4,7],[6]]=>10
[2,7,1,5,6,4,3]=>[[1,2,5],[3,4],[6],[7]]=>15
[2,7,1,6,3,4,5]=>[[1,2,6,7],[3,4],[5]]=>8
[2,7,1,6,3,5,4]=>[[1,2,6],[3,4],[5],[7]]=>14
[2,7,1,6,4,3,5]=>[[1,2,7],[3,4],[5],[6]]=>13
[2,7,1,6,4,5,3]=>[[1,2,6],[3,4],[5],[7]]=>14
[2,7,1,6,5,3,4]=>[[1,2,7],[3,4],[5],[6]]=>13
[2,7,1,6,5,4,3]=>[[1,2],[3,4],[5],[6],[7]]=>19
[2,7,3,1,4,5,6]=>[[1,2,5,6,7],[3],[4]]=>5
[2,7,3,1,4,6,5]=>[[1,2,5,6],[3,7],[4]]=>9
[2,7,3,1,5,4,6]=>[[1,2,5,7],[3,6],[4]]=>8
[2,7,3,1,5,6,4]=>[[1,2,5,6],[3,7],[4]]=>9
[2,7,3,1,6,4,5]=>[[1,2,5,7],[3,6],[4]]=>8
[2,7,3,1,6,5,4]=>[[1,2,5],[3,6],[4],[7]]=>14
[2,7,3,4,1,5,6]=>[[1,2,4,6,7],[3],[5]]=>6
[2,7,3,4,1,6,5]=>[[1,2,4,6],[3,7],[5]]=>10
[2,7,3,4,5,1,6]=>[[1,2,4,5,7],[3],[6]]=>7
[2,7,3,4,5,6,1]=>[[1,2,4,5,6],[3],[7]]=>8
[2,7,3,4,6,1,5]=>[[1,2,4,5],[3,7],[6]]=>11
[2,7,3,4,6,5,1]=>[[1,2,4,5],[3],[6],[7]]=>13
[2,7,3,5,1,4,6]=>[[1,2,4,7],[3,6],[5]]=>9
[2,7,3,5,1,6,4]=>[[1,2,4,6],[3,7],[5]]=>10
[2,7,3,5,4,1,6]=>[[1,2,4,7],[3],[5],[6]]=>11
[2,7,3,5,4,6,1]=>[[1,2,4,6],[3],[5],[7]]=>12
[2,7,3,5,6,1,4]=>[[1,2,4,5],[3,7],[6]]=>11
[2,7,3,5,6,4,1]=>[[1,2,4,5],[3],[6],[7]]=>13
[2,7,3,6,1,4,5]=>[[1,2,4,7],[3,6],[5]]=>9
[2,7,3,6,1,5,4]=>[[1,2,4],[3,6],[5],[7]]=>15
[2,7,3,6,4,1,5]=>[[1,2,4,7],[3],[5],[6]]=>11
[2,7,3,6,4,5,1]=>[[1,2,4,6],[3],[5],[7]]=>12
[2,7,3,6,5,1,4]=>[[1,2,4],[3,7],[5],[6]]=>14
[2,7,3,6,5,4,1]=>[[1,2,4],[3],[5],[6],[7]]=>17
[2,7,4,1,3,5,6]=>[[1,2,6,7],[3,5],[4]]=>7
[2,7,4,1,3,6,5]=>[[1,2,6],[3,5,7],[4]]=>8
[2,7,4,1,5,3,6]=>[[1,2,5,7],[3,6],[4]]=>8
[2,7,4,1,5,6,3]=>[[1,2,5,6],[3,7],[4]]=>9
[2,7,4,1,6,3,5]=>[[1,2,5],[3,6,7],[4]]=>11
[2,7,4,1,6,5,3]=>[[1,2,5],[3,6],[4],[7]]=>14
[2,7,4,3,1,5,6]=>[[1,2,6,7],[3],[4],[5]]=>9
[2,7,4,3,1,6,5]=>[[1,2,6],[3,7],[4],[5]]=>12
[2,7,4,3,5,1,6]=>[[1,2,5,7],[3],[4],[6]]=>10
[2,7,4,3,5,6,1]=>[[1,2,5,6],[3],[4],[7]]=>11
[2,7,4,3,6,1,5]=>[[1,2,5],[3,7],[4],[6]]=>13
[2,7,4,3,6,5,1]=>[[1,2,5],[3,6],[4],[7]]=>14
[2,7,4,5,1,3,6]=>[[1,2,4,7],[3,6],[5]]=>9
[2,7,4,5,1,6,3]=>[[1,2,4,6],[3,7],[5]]=>10
[2,7,4,5,3,1,6]=>[[1,2,4,7],[3],[5],[6]]=>11
[2,7,4,5,3,6,1]=>[[1,2,4,6],[3],[5],[7]]=>12
[2,7,4,5,6,1,3]=>[[1,2,4,5],[3,7],[6]]=>11
[2,7,4,5,6,3,1]=>[[1,2,4,5],[3],[6],[7]]=>13
[2,7,4,6,1,3,5]=>[[1,2,4],[3,6,7],[5]]=>12
[2,7,4,6,1,5,3]=>[[1,2,4],[3,6],[5],[7]]=>15
[2,7,4,6,3,1,5]=>[[1,2,4],[3,7],[5],[6]]=>14
[2,7,4,6,3,5,1]=>[[1,2,4],[3,6],[5],[7]]=>15
[2,7,4,6,5,1,3]=>[[1,2,4],[3,7],[5],[6]]=>14
[2,7,4,6,5,3,1]=>[[1,2,4],[3],[5],[6],[7]]=>17
[2,7,5,1,3,4,6]=>[[1,2,6,7],[3,5],[4]]=>7
[2,7,5,1,3,6,4]=>[[1,2,6],[3,5,7],[4]]=>8
[2,7,5,1,4,3,6]=>[[1,2,7],[3,5],[4],[6]]=>12
[2,7,5,1,4,6,3]=>[[1,2,6],[3,5],[4],[7]]=>13
[2,7,5,1,6,3,4]=>[[1,2,5],[3,6,7],[4]]=>11
[2,7,5,1,6,4,3]=>[[1,2,5],[3,6],[4],[7]]=>14
[2,7,5,3,1,4,6]=>[[1,2,6,7],[3],[4],[5]]=>9
[2,7,5,3,1,6,4]=>[[1,2,6],[3,7],[4],[5]]=>12
[2,7,5,3,4,1,6]=>[[1,2,5,7],[3],[4],[6]]=>10
[2,7,5,3,4,6,1]=>[[1,2,5,6],[3],[4],[7]]=>11
[2,7,5,3,6,1,4]=>[[1,2,5],[3,7],[4],[6]]=>13
[2,7,5,3,6,4,1]=>[[1,2,5],[3,6],[4],[7]]=>14
[2,7,5,4,1,3,6]=>[[1,2,7],[3,6],[4],[5]]=>11
[2,7,5,4,1,6,3]=>[[1,2,6],[3,7],[4],[5]]=>12
[2,7,5,4,3,1,6]=>[[1,2,7],[3],[4],[5],[6]]=>14
[2,7,5,4,3,6,1]=>[[1,2,6],[3],[4],[5],[7]]=>15
[2,7,5,4,6,1,3]=>[[1,2,5],[3,7],[4],[6]]=>13
[2,7,5,4,6,3,1]=>[[1,2,5],[3],[4],[6],[7]]=>16
[2,7,5,6,1,3,4]=>[[1,2,4],[3,6,7],[5]]=>12
[2,7,5,6,1,4,3]=>[[1,2,4],[3,6],[5],[7]]=>15
[2,7,5,6,3,1,4]=>[[1,2,4],[3,7],[5],[6]]=>14
[2,7,5,6,3,4,1]=>[[1,2,4],[3,6],[5],[7]]=>15
[2,7,5,6,4,1,3]=>[[1,2,4],[3,7],[5],[6]]=>14
[2,7,5,6,4,3,1]=>[[1,2,4],[3],[5],[6],[7]]=>17
[2,7,6,1,3,4,5]=>[[1,2,6,7],[3,5],[4]]=>7
[2,7,6,1,3,5,4]=>[[1,2,6],[3,5],[4],[7]]=>13
[2,7,6,1,4,3,5]=>[[1,2,7],[3,5],[4],[6]]=>12
[2,7,6,1,4,5,3]=>[[1,2,6],[3,5],[4],[7]]=>13
[2,7,6,1,5,3,4]=>[[1,2,7],[3,5],[4],[6]]=>12
[2,7,6,1,5,4,3]=>[[1,2],[3,5],[4],[6],[7]]=>18
[2,7,6,3,1,4,5]=>[[1,2,6,7],[3],[4],[5]]=>9
[2,7,6,3,1,5,4]=>[[1,2,6],[3,7],[4],[5]]=>12
[2,7,6,3,4,1,5]=>[[1,2,5,7],[3],[4],[6]]=>10
[2,7,6,3,4,5,1]=>[[1,2,5,6],[3],[4],[7]]=>11
[2,7,6,3,5,1,4]=>[[1,2,5],[3,7],[4],[6]]=>13
[2,7,6,3,5,4,1]=>[[1,2,5],[3],[4],[6],[7]]=>16
[2,7,6,4,1,3,5]=>[[1,2,7],[3,6],[4],[5]]=>11
[2,7,6,4,1,5,3]=>[[1,2,6],[3,7],[4],[5]]=>12
[2,7,6,4,3,1,5]=>[[1,2,7],[3],[4],[5],[6]]=>14
[2,7,6,4,3,5,1]=>[[1,2,6],[3],[4],[5],[7]]=>15
[2,7,6,4,5,1,3]=>[[1,2,5],[3,7],[4],[6]]=>13
[2,7,6,4,5,3,1]=>[[1,2,5],[3],[4],[6],[7]]=>16
[2,7,6,5,1,3,4]=>[[1,2,7],[3,6],[4],[5]]=>11
[2,7,6,5,1,4,3]=>[[1,2],[3,6],[4],[5],[7]]=>17
[2,7,6,5,3,1,4]=>[[1,2,7],[3],[4],[5],[6]]=>14
[2,7,6,5,3,4,1]=>[[1,2,6],[3],[4],[5],[7]]=>15
[2,7,6,5,4,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>16
[2,7,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6],[7]]=>20
[3,1,2,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>1
[3,1,2,4,5,7,6]=>[[1,3,4,5,6],[2,7]]=>5
[3,1,2,4,6,5,7]=>[[1,3,4,5,7],[2,6]]=>4
[3,1,2,4,6,7,5]=>[[1,3,4,5,6],[2,7]]=>5
[3,1,2,4,7,5,6]=>[[1,3,4,5,7],[2,6]]=>4
[3,1,2,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>10
[3,1,2,5,4,6,7]=>[[1,3,4,6,7],[2,5]]=>3
[3,1,2,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>6
[3,1,2,5,6,4,7]=>[[1,3,4,5,7],[2,6]]=>4
[3,1,2,5,6,7,4]=>[[1,3,4,5,6],[2,7]]=>5
[3,1,2,5,7,4,6]=>[[1,3,4,5],[2,6,7]]=>7
[3,1,2,5,7,6,4]=>[[1,3,4,5],[2,6],[7]]=>10
[3,1,2,6,4,5,7]=>[[1,3,4,6,7],[2,5]]=>3
[3,1,2,6,4,7,5]=>[[1,3,4,6],[2,5,7]]=>6
[3,1,2,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>8
[3,1,2,6,5,7,4]=>[[1,3,4,6],[2,5],[7]]=>9
[3,1,2,6,7,4,5]=>[[1,3,4,5],[2,6,7]]=>7
[3,1,2,6,7,5,4]=>[[1,3,4,5],[2,6],[7]]=>10
[3,1,2,7,4,5,6]=>[[1,3,4,6,7],[2,5]]=>3
[3,1,2,7,4,6,5]=>[[1,3,4,6],[2,5],[7]]=>9
[3,1,2,7,5,4,6]=>[[1,3,4,7],[2,5],[6]]=>8
[3,1,2,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>9
[3,1,2,7,6,4,5]=>[[1,3,4,7],[2,5],[6]]=>8
[3,1,2,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>14
[3,1,4,2,5,6,7]=>[[1,3,5,6,7],[2,4]]=>2
[3,1,4,2,5,7,6]=>[[1,3,5,6],[2,4,7]]=>4
[3,1,4,2,6,5,7]=>[[1,3,5,7],[2,4,6]]=>3
[3,1,4,2,6,7,5]=>[[1,3,5,6],[2,4,7]]=>4
[3,1,4,2,7,5,6]=>[[1,3,5,7],[2,4,6]]=>3
[3,1,4,2,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>9
[3,1,4,5,2,6,7]=>[[1,3,4,6,7],[2,5]]=>3
[3,1,4,5,2,7,6]=>[[1,3,4,6],[2,5,7]]=>6
[3,1,4,5,6,2,7]=>[[1,3,4,5,7],[2,6]]=>4
[3,1,4,5,6,7,2]=>[[1,3,4,5,6],[2,7]]=>5
[3,1,4,5,7,2,6]=>[[1,3,4,5],[2,6,7]]=>7
[3,1,4,5,7,6,2]=>[[1,3,4,5],[2,6],[7]]=>10
[3,1,4,6,2,5,7]=>[[1,3,4,7],[2,5,6]]=>5
[3,1,4,6,2,7,5]=>[[1,3,4,6],[2,5,7]]=>6
[3,1,4,6,5,2,7]=>[[1,3,4,7],[2,5],[6]]=>8
[3,1,4,6,5,7,2]=>[[1,3,4,6],[2,5],[7]]=>9
[3,1,4,6,7,2,5]=>[[1,3,4,5],[2,6,7]]=>7
[3,1,4,6,7,5,2]=>[[1,3,4,5],[2,6],[7]]=>10
[3,1,4,7,2,5,6]=>[[1,3,4,7],[2,5,6]]=>5
[3,1,4,7,2,6,5]=>[[1,3,4],[2,5,6],[7]]=>11
[3,1,4,7,5,2,6]=>[[1,3,4,7],[2,5],[6]]=>8
[3,1,4,7,5,6,2]=>[[1,3,4,6],[2,5],[7]]=>9
[3,1,4,7,6,2,5]=>[[1,3,4],[2,5,7],[6]]=>10
[3,1,4,7,6,5,2]=>[[1,3,4],[2,5],[6],[7]]=>14
[3,1,5,2,4,6,7]=>[[1,3,5,6,7],[2,4]]=>2
[3,1,5,2,4,7,6]=>[[1,3,5,6],[2,4,7]]=>4
[3,1,5,2,6,4,7]=>[[1,3,5,7],[2,4,6]]=>3
[3,1,5,2,6,7,4]=>[[1,3,5,6],[2,4,7]]=>4
[3,1,5,2,7,4,6]=>[[1,3,5,7],[2,4,6]]=>3
[3,1,5,2,7,6,4]=>[[1,3,5],[2,4,6],[7]]=>9
[3,1,5,4,2,6,7]=>[[1,3,6,7],[2,4],[5]]=>6
[3,1,5,4,2,7,6]=>[[1,3,6],[2,4,7],[5]]=>7
[3,1,5,4,6,2,7]=>[[1,3,5,7],[2,4],[6]]=>7
[3,1,5,4,6,7,2]=>[[1,3,5,6],[2,4],[7]]=>8
[3,1,5,4,7,2,6]=>[[1,3,5],[2,4,7],[6]]=>8
[3,1,5,4,7,6,2]=>[[1,3,5],[2,4,6],[7]]=>9
[3,1,5,6,2,4,7]=>[[1,3,4,7],[2,5,6]]=>5
[3,1,5,6,2,7,4]=>[[1,3,4,6],[2,5,7]]=>6
[3,1,5,6,4,2,7]=>[[1,3,4,7],[2,5],[6]]=>8
[3,1,5,6,4,7,2]=>[[1,3,4,6],[2,5],[7]]=>9
[3,1,5,6,7,2,4]=>[[1,3,4,5],[2,6,7]]=>7
[3,1,5,6,7,4,2]=>[[1,3,4,5],[2,6],[7]]=>10
[3,1,5,7,2,4,6]=>[[1,3,4,7],[2,5,6]]=>5
[3,1,5,7,2,6,4]=>[[1,3,4],[2,5,6],[7]]=>11
[3,1,5,7,4,2,6]=>[[1,3,4],[2,5,7],[6]]=>10
[3,1,5,7,4,6,2]=>[[1,3,4],[2,5,6],[7]]=>11
[3,1,5,7,6,2,4]=>[[1,3,4],[2,5,7],[6]]=>10
[3,1,5,7,6,4,2]=>[[1,3,4],[2,5],[6],[7]]=>14
[3,1,6,2,4,5,7]=>[[1,3,5,6,7],[2,4]]=>2
[3,1,6,2,4,7,5]=>[[1,3,5,6],[2,4,7]]=>4
[3,1,6,2,5,4,7]=>[[1,3,5,7],[2,4],[6]]=>7
[3,1,6,2,5,7,4]=>[[1,3,5,6],[2,4],[7]]=>8
[3,1,6,2,7,4,5]=>[[1,3,5,7],[2,4,6]]=>3
[3,1,6,2,7,5,4]=>[[1,3,5],[2,4,6],[7]]=>9
[3,1,6,4,2,5,7]=>[[1,3,6,7],[2,4],[5]]=>6
[3,1,6,4,2,7,5]=>[[1,3,6],[2,4,7],[5]]=>7
[3,1,6,4,5,2,7]=>[[1,3,5,7],[2,4],[6]]=>7
[3,1,6,4,5,7,2]=>[[1,3,5,6],[2,4],[7]]=>8
[3,1,6,4,7,2,5]=>[[1,3,5],[2,4,7],[6]]=>8
[3,1,6,4,7,5,2]=>[[1,3,5],[2,4,6],[7]]=>9
[3,1,6,5,2,4,7]=>[[1,3,6,7],[2,4],[5]]=>6
[3,1,6,5,2,7,4]=>[[1,3,6],[2,4,7],[5]]=>7
[3,1,6,5,4,2,7]=>[[1,3,7],[2,4],[5],[6]]=>11
[3,1,6,5,4,7,2]=>[[1,3,6],[2,4],[5],[7]]=>12
[3,1,6,5,7,2,4]=>[[1,3,5],[2,4,7],[6]]=>8
[3,1,6,5,7,4,2]=>[[1,3,5],[2,4],[6],[7]]=>13
[3,1,6,7,2,4,5]=>[[1,3,4,7],[2,5,6]]=>5
[3,1,6,7,2,5,4]=>[[1,3,4],[2,5,6],[7]]=>11
[3,1,6,7,4,2,5]=>[[1,3,4],[2,5,7],[6]]=>10
[3,1,6,7,4,5,2]=>[[1,3,4],[2,5,6],[7]]=>11
[3,1,6,7,5,2,4]=>[[1,3,4],[2,5,7],[6]]=>10
[3,1,6,7,5,4,2]=>[[1,3,4],[2,5],[6],[7]]=>14
[3,1,7,2,4,5,6]=>[[1,3,5,6,7],[2,4]]=>2
[3,1,7,2,4,6,5]=>[[1,3,5,6],[2,4],[7]]=>8
[3,1,7,2,5,4,6]=>[[1,3,5,7],[2,4],[6]]=>7
[3,1,7,2,5,6,4]=>[[1,3,5,6],[2,4],[7]]=>8
[3,1,7,2,6,4,5]=>[[1,3,5,7],[2,4],[6]]=>7
[3,1,7,2,6,5,4]=>[[1,3,5],[2,4],[6],[7]]=>13
[3,1,7,4,2,5,6]=>[[1,3,6,7],[2,4],[5]]=>6
[3,1,7,4,2,6,5]=>[[1,3,6],[2,4,7],[5]]=>7
[3,1,7,4,5,2,6]=>[[1,3,5,7],[2,4],[6]]=>7
[3,1,7,4,5,6,2]=>[[1,3,5,6],[2,4],[7]]=>8
[3,1,7,4,6,2,5]=>[[1,3,5],[2,4,7],[6]]=>8
[3,1,7,4,6,5,2]=>[[1,3,5],[2,4],[6],[7]]=>13
[3,1,7,5,2,4,6]=>[[1,3,6,7],[2,4],[5]]=>6
[3,1,7,5,2,6,4]=>[[1,3,6],[2,4,7],[5]]=>7
[3,1,7,5,4,2,6]=>[[1,3,7],[2,4],[5],[6]]=>11
[3,1,7,5,4,6,2]=>[[1,3,6],[2,4],[5],[7]]=>12
[3,1,7,5,6,2,4]=>[[1,3,5],[2,4,7],[6]]=>8
[3,1,7,5,6,4,2]=>[[1,3,5],[2,4],[6],[7]]=>13
[3,1,7,6,2,4,5]=>[[1,3,6,7],[2,4],[5]]=>6
[3,1,7,6,2,5,4]=>[[1,3,6],[2,4],[5],[7]]=>12
[3,1,7,6,4,2,5]=>[[1,3,7],[2,4],[5],[6]]=>11
[3,1,7,6,4,5,2]=>[[1,3,6],[2,4],[5],[7]]=>12
[3,1,7,6,5,2,4]=>[[1,3,7],[2,4],[5],[6]]=>11
[3,1,7,6,5,4,2]=>[[1,3],[2,4],[5],[6],[7]]=>17
[3,2,1,4,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>3
[3,2,1,4,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>6
[3,2,1,4,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>5
[3,2,1,4,6,7,5]=>[[1,4,5,6],[2,7],[3]]=>6
[3,2,1,4,7,5,6]=>[[1,4,5,7],[2,6],[3]]=>5
[3,2,1,4,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>8
[3,2,1,5,4,6,7]=>[[1,4,6,7],[2,5],[3]]=>4
[3,2,1,5,4,7,6]=>[[1,4,6],[2,5,7],[3]]=>5
[3,2,1,5,6,4,7]=>[[1,4,5,7],[2,6],[3]]=>5
[3,2,1,5,6,7,4]=>[[1,4,5,6],[2,7],[3]]=>6
[3,2,1,5,7,4,6]=>[[1,4,5],[2,6,7],[3]]=>7
[3,2,1,5,7,6,4]=>[[1,4,5],[2,6],[3,7]]=>8
[3,2,1,6,4,5,7]=>[[1,4,6,7],[2,5],[3]]=>4
[3,2,1,6,4,7,5]=>[[1,4,6],[2,5,7],[3]]=>5
[3,2,1,6,5,4,7]=>[[1,4,7],[2,5],[3,6]]=>6
[3,2,1,6,5,7,4]=>[[1,4,6],[2,5],[3,7]]=>7
[3,2,1,6,7,4,5]=>[[1,4,5],[2,6,7],[3]]=>7
[3,2,1,6,7,5,4]=>[[1,4,5],[2,6],[3,7]]=>8
[3,2,1,7,4,5,6]=>[[1,4,6,7],[2,5],[3]]=>4
[3,2,1,7,4,6,5]=>[[1,4,6],[2,5],[3,7]]=>7
[3,2,1,7,5,4,6]=>[[1,4,7],[2,5],[3,6]]=>6
[3,2,1,7,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>7
[3,2,1,7,6,4,5]=>[[1,4,7],[2,5],[3,6]]=>6
[3,2,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>12
[3,2,4,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>4
[3,2,4,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>7
[3,2,4,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>6
[3,2,4,1,6,7,5]=>[[1,3,5,6],[2,7],[4]]=>7
[3,2,4,1,7,5,6]=>[[1,3,5,7],[2,6],[4]]=>6
[3,2,4,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>9
[3,2,4,5,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>5
[3,2,4,5,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>8
[3,2,4,5,6,1,7]=>[[1,3,4,5,7],[2],[6]]=>6
[3,2,4,5,6,7,1]=>[[1,3,4,5,6],[2],[7]]=>7
[3,2,4,5,7,1,6]=>[[1,3,4,5],[2,7],[6]]=>9
[3,2,4,5,7,6,1]=>[[1,3,4,5],[2,6],[7]]=>10
[3,2,4,6,1,5,7]=>[[1,3,4,7],[2,6],[5]]=>7
[3,2,4,6,1,7,5]=>[[1,3,4,6],[2,7],[5]]=>8
[3,2,4,6,5,1,7]=>[[1,3,4,7],[2,5],[6]]=>8
[3,2,4,6,5,7,1]=>[[1,3,4,6],[2,5],[7]]=>9
[3,2,4,6,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>9
[3,2,4,6,7,5,1]=>[[1,3,4,5],[2,6],[7]]=>10
[3,2,4,7,1,5,6]=>[[1,3,4,7],[2,6],[5]]=>7
[3,2,4,7,1,6,5]=>[[1,3,4],[2,6],[5,7]]=>10
[3,2,4,7,5,1,6]=>[[1,3,4,7],[2,5],[6]]=>8
[3,2,4,7,5,6,1]=>[[1,3,4,6],[2,5],[7]]=>9
[3,2,4,7,6,1,5]=>[[1,3,4],[2,5],[6,7]]=>13
[3,2,4,7,6,5,1]=>[[1,3,4],[2,5],[6],[7]]=>14
[3,2,5,1,4,6,7]=>[[1,3,6,7],[2,5],[4]]=>5
[3,2,5,1,4,7,6]=>[[1,3,6],[2,5,7],[4]]=>6
[3,2,5,1,6,4,7]=>[[1,3,5,7],[2,6],[4]]=>6
[3,2,5,1,6,7,4]=>[[1,3,5,6],[2,7],[4]]=>7
[3,2,5,1,7,4,6]=>[[1,3,5],[2,6,7],[4]]=>8
[3,2,5,1,7,6,4]=>[[1,3,5],[2,6],[4,7]]=>9
[3,2,5,4,1,6,7]=>[[1,3,6,7],[2,4],[5]]=>6
[3,2,5,4,1,7,6]=>[[1,3,6],[2,4,7],[5]]=>7
[3,2,5,4,6,1,7]=>[[1,3,5,7],[2,4],[6]]=>7
[3,2,5,4,6,7,1]=>[[1,3,5,6],[2,4],[7]]=>8
[3,2,5,4,7,1,6]=>[[1,3,5],[2,4,7],[6]]=>8
[3,2,5,4,7,6,1]=>[[1,3,5],[2,4,6],[7]]=>9
[3,2,5,6,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>7
[3,2,5,6,1,7,4]=>[[1,3,4,6],[2,7],[5]]=>8
[3,2,5,6,4,1,7]=>[[1,3,4,7],[2,5],[6]]=>8
[3,2,5,6,4,7,1]=>[[1,3,4,6],[2,5],[7]]=>9
[3,2,5,6,7,1,4]=>[[1,3,4,5],[2,7],[6]]=>9
[3,2,5,6,7,4,1]=>[[1,3,4,5],[2,6],[7]]=>10
[3,2,5,7,1,4,6]=>[[1,3,4],[2,6,7],[5]]=>9
[3,2,5,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>10
[3,2,5,7,4,1,6]=>[[1,3,4],[2,5,7],[6]]=>10
[3,2,5,7,4,6,1]=>[[1,3,4],[2,5,6],[7]]=>11
[3,2,5,7,6,1,4]=>[[1,3,4],[2,5],[6,7]]=>13
[3,2,5,7,6,4,1]=>[[1,3,4],[2,5],[6],[7]]=>14
[3,2,6,1,4,5,7]=>[[1,3,6,7],[2,5],[4]]=>5
[3,2,6,1,4,7,5]=>[[1,3,6],[2,5,7],[4]]=>6
[3,2,6,1,5,4,7]=>[[1,3,7],[2,5],[4,6]]=>7
[3,2,6,1,5,7,4]=>[[1,3,6],[2,5],[4,7]]=>8
[3,2,6,1,7,4,5]=>[[1,3,5],[2,6,7],[4]]=>8
[3,2,6,1,7,5,4]=>[[1,3,5],[2,6],[4,7]]=>9
[3,2,6,4,1,5,7]=>[[1,3,6,7],[2,4],[5]]=>6
[3,2,6,4,1,7,5]=>[[1,3,6],[2,4,7],[5]]=>7
[3,2,6,4,5,1,7]=>[[1,3,5,7],[2,4],[6]]=>7
[3,2,6,4,5,7,1]=>[[1,3,5,6],[2,4],[7]]=>8
[3,2,6,4,7,1,5]=>[[1,3,5],[2,4,7],[6]]=>8
[3,2,6,4,7,5,1]=>[[1,3,5],[2,4,6],[7]]=>9
[3,2,6,5,1,4,7]=>[[1,3,7],[2,4],[5,6]]=>10
[3,2,6,5,1,7,4]=>[[1,3,6],[2,4],[5,7]]=>11
[3,2,6,5,4,1,7]=>[[1,3,7],[2,4],[5],[6]]=>11
[3,2,6,5,4,7,1]=>[[1,3,6],[2,4],[5],[7]]=>12
[3,2,6,5,7,1,4]=>[[1,3,5],[2,4],[6,7]]=>12
[3,2,6,5,7,4,1]=>[[1,3,5],[2,4],[6],[7]]=>13
[3,2,6,7,1,4,5]=>[[1,3,4],[2,6,7],[5]]=>9
[3,2,6,7,1,5,4]=>[[1,3,4],[2,6],[5,7]]=>10
[3,2,6,7,4,1,5]=>[[1,3,4],[2,5,7],[6]]=>10
[3,2,6,7,4,5,1]=>[[1,3,4],[2,5,6],[7]]=>11
[3,2,6,7,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>13
[3,2,6,7,5,4,1]=>[[1,3,4],[2,5],[6],[7]]=>14
[3,2,7,1,4,5,6]=>[[1,3,6,7],[2,5],[4]]=>5
[3,2,7,1,4,6,5]=>[[1,3,6],[2,5],[4,7]]=>8
[3,2,7,1,5,4,6]=>[[1,3,7],[2,5],[4,6]]=>7
[3,2,7,1,5,6,4]=>[[1,3,6],[2,5],[4,7]]=>8
[3,2,7,1,6,4,5]=>[[1,3,7],[2,5],[4,6]]=>7
[3,2,7,1,6,5,4]=>[[1,3],[2,5],[4,6],[7]]=>13
[3,2,7,4,1,5,6]=>[[1,3,6,7],[2,4],[5]]=>6
[3,2,7,4,1,6,5]=>[[1,3,6],[2,4],[5,7]]=>11
[3,2,7,4,5,1,6]=>[[1,3,5,7],[2,4],[6]]=>7
[3,2,7,4,5,6,1]=>[[1,3,5,6],[2,4],[7]]=>8
[3,2,7,4,6,1,5]=>[[1,3,5],[2,4],[6,7]]=>12
[3,2,7,4,6,5,1]=>[[1,3,5],[2,4],[6],[7]]=>13
[3,2,7,5,1,4,6]=>[[1,3,7],[2,4],[5,6]]=>10
[3,2,7,5,1,6,4]=>[[1,3,6],[2,4],[5,7]]=>11
[3,2,7,5,4,1,6]=>[[1,3,7],[2,4],[5],[6]]=>11
[3,2,7,5,4,6,1]=>[[1,3,6],[2,4],[5],[7]]=>12
[3,2,7,5,6,1,4]=>[[1,3,5],[2,4],[6,7]]=>12
[3,2,7,5,6,4,1]=>[[1,3,5],[2,4],[6],[7]]=>13
[3,2,7,6,1,4,5]=>[[1,3,7],[2,4],[5,6]]=>10
[3,2,7,6,1,5,4]=>[[1,3],[2,4],[5,6],[7]]=>16
[3,2,7,6,4,1,5]=>[[1,3,7],[2,4],[5],[6]]=>11
[3,2,7,6,4,5,1]=>[[1,3,6],[2,4],[5],[7]]=>12
[3,2,7,6,5,1,4]=>[[1,3],[2,4],[5,7],[6]]=>15
[3,2,7,6,5,4,1]=>[[1,3],[2,4],[5],[6],[7]]=>17
[3,4,1,2,5,6,7]=>[[1,2,5,6,7],[3,4]]=>4
[3,4,1,2,5,7,6]=>[[1,2,5,6],[3,4,7]]=>6
[3,4,1,2,6,5,7]=>[[1,2,5,7],[3,4,6]]=>5
[3,4,1,2,6,7,5]=>[[1,2,5,6],[3,4,7]]=>6
[3,4,1,2,7,5,6]=>[[1,2,5,7],[3,4,6]]=>5
[3,4,1,2,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>11
[3,4,1,5,2,6,7]=>[[1,2,4,6,7],[3,5]]=>5
[3,4,1,5,2,7,6]=>[[1,2,4,6],[3,5,7]]=>9
[3,4,1,5,6,2,7]=>[[1,2,4,5,7],[3,6]]=>6
[3,4,1,5,6,7,2]=>[[1,2,4,5,6],[3,7]]=>7
[3,4,1,5,7,2,6]=>[[1,2,4,5],[3,6,7]]=>10
[3,4,1,5,7,6,2]=>[[1,2,4,5],[3,6],[7]]=>12
[3,4,1,6,2,5,7]=>[[1,2,4,7],[3,5,6]]=>8
[3,4,1,6,2,7,5]=>[[1,2,4,6],[3,5,7]]=>9
[3,4,1,6,5,2,7]=>[[1,2,4,7],[3,5],[6]]=>10
[3,4,1,6,5,7,2]=>[[1,2,4,6],[3,5],[7]]=>11
[3,4,1,6,7,2,5]=>[[1,2,4,5],[3,6,7]]=>10
[3,4,1,6,7,5,2]=>[[1,2,4,5],[3,6],[7]]=>12
[3,4,1,7,2,5,6]=>[[1,2,4,7],[3,5,6]]=>8
[3,4,1,7,2,6,5]=>[[1,2,4],[3,5,6],[7]]=>14
[3,4,1,7,5,2,6]=>[[1,2,4,7],[3,5],[6]]=>10
[3,4,1,7,5,6,2]=>[[1,2,4,6],[3,5],[7]]=>11
[3,4,1,7,6,2,5]=>[[1,2,4],[3,5,7],[6]]=>13
[3,4,1,7,6,5,2]=>[[1,2,4],[3,5],[6],[7]]=>16
[3,4,2,1,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>5
[3,4,2,1,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>9
[3,4,2,1,6,5,7]=>[[1,2,5,7],[3,6],[4]]=>8
[3,4,2,1,6,7,5]=>[[1,2,5,6],[3,7],[4]]=>9
[3,4,2,1,7,5,6]=>[[1,2,5,7],[3,6],[4]]=>8
[3,4,2,1,7,6,5]=>[[1,2,5],[3,6],[4,7]]=>12
[3,4,2,5,1,6,7]=>[[1,2,4,6,7],[3],[5]]=>6
[3,4,2,5,1,7,6]=>[[1,2,4,6],[3,7],[5]]=>10
[3,4,2,5,6,1,7]=>[[1,2,4,5,7],[3],[6]]=>7
[3,4,2,5,6,7,1]=>[[1,2,4,5,6],[3],[7]]=>8
[3,4,2,5,7,1,6]=>[[1,2,4,5],[3,7],[6]]=>11
[3,4,2,5,7,6,1]=>[[1,2,4,5],[3,6],[7]]=>12
[3,4,2,6,1,5,7]=>[[1,2,4,7],[3,6],[5]]=>9
[3,4,2,6,1,7,5]=>[[1,2,4,6],[3,7],[5]]=>10
[3,4,2,6,5,1,7]=>[[1,2,4,7],[3,5],[6]]=>10
[3,4,2,6,5,7,1]=>[[1,2,4,6],[3,5],[7]]=>11
[3,4,2,6,7,1,5]=>[[1,2,4,5],[3,7],[6]]=>11
[3,4,2,6,7,5,1]=>[[1,2,4,5],[3,6],[7]]=>12
[3,4,2,7,1,5,6]=>[[1,2,4,7],[3,6],[5]]=>9
[3,4,2,7,1,6,5]=>[[1,2,4],[3,6],[5,7]]=>13
[3,4,2,7,5,1,6]=>[[1,2,4,7],[3,5],[6]]=>10
[3,4,2,7,5,6,1]=>[[1,2,4,6],[3,5],[7]]=>11
[3,4,2,7,6,1,5]=>[[1,2,4],[3,5],[6,7]]=>15
[3,4,2,7,6,5,1]=>[[1,2,4],[3,5],[6],[7]]=>16
[3,4,5,1,2,6,7]=>[[1,2,3,6,7],[4,5]]=>6
[3,4,5,1,2,7,6]=>[[1,2,3,6],[4,5,7]]=>10
[3,4,5,1,6,2,7]=>[[1,2,3,5,7],[4,6]]=>7
[3,4,5,1,6,7,2]=>[[1,2,3,5,6],[4,7]]=>8
[3,4,5,1,7,2,6]=>[[1,2,3,5],[4,6,7]]=>11
[3,4,5,1,7,6,2]=>[[1,2,3,5],[4,6],[7]]=>13
[3,4,5,2,1,6,7]=>[[1,2,3,6,7],[4],[5]]=>7
[3,4,5,2,1,7,6]=>[[1,2,3,6],[4,7],[5]]=>11
[3,4,5,2,6,1,7]=>[[1,2,3,5,7],[4],[6]]=>8
[3,4,5,2,6,7,1]=>[[1,2,3,5,6],[4],[7]]=>9
[3,4,5,2,7,1,6]=>[[1,2,3,5],[4,7],[6]]=>12
[3,4,5,2,7,6,1]=>[[1,2,3,5],[4,6],[7]]=>13
[3,4,5,6,1,2,7]=>[[1,2,3,4,7],[5,6]]=>8
[3,4,5,6,1,7,2]=>[[1,2,3,4,6],[5,7]]=>9
[3,4,5,6,2,1,7]=>[[1,2,3,4,7],[5],[6]]=>9
[3,4,5,6,2,7,1]=>[[1,2,3,4,6],[5],[7]]=>10
[3,4,5,6,7,1,2]=>[[1,2,3,4,5],[6,7]]=>10
[3,4,5,6,7,2,1]=>[[1,2,3,4,5],[6],[7]]=>11
[3,4,5,7,1,2,6]=>[[1,2,3,4],[5,6,7]]=>12
[3,4,5,7,1,6,2]=>[[1,2,3,4],[5,6],[7]]=>14
[3,4,5,7,2,1,6]=>[[1,2,3,4],[5,7],[6]]=>13
[3,4,5,7,2,6,1]=>[[1,2,3,4],[5,6],[7]]=>14
[3,4,5,7,6,1,2]=>[[1,2,3,4],[5,7],[6]]=>13
[3,4,5,7,6,2,1]=>[[1,2,3,4],[5],[6],[7]]=>15
[3,4,6,1,2,5,7]=>[[1,2,3,7],[4,5,6]]=>9
[3,4,6,1,2,7,5]=>[[1,2,3,6],[4,5,7]]=>10
[3,4,6,1,5,2,7]=>[[1,2,3,7],[4,5],[6]]=>11
[3,4,6,1,5,7,2]=>[[1,2,3,6],[4,5],[7]]=>12
[3,4,6,1,7,2,5]=>[[1,2,3,5],[4,6,7]]=>11
[3,4,6,1,7,5,2]=>[[1,2,3,5],[4,6],[7]]=>13
[3,4,6,2,1,5,7]=>[[1,2,3,7],[4,6],[5]]=>10
[3,4,6,2,1,7,5]=>[[1,2,3,6],[4,7],[5]]=>11
[3,4,6,2,5,1,7]=>[[1,2,3,7],[4,5],[6]]=>11
[3,4,6,2,5,7,1]=>[[1,2,3,6],[4,5],[7]]=>12
[3,4,6,2,7,1,5]=>[[1,2,3,5],[4,7],[6]]=>12
[3,4,6,2,7,5,1]=>[[1,2,3,5],[4,6],[7]]=>13
[3,4,6,5,1,2,7]=>[[1,2,3,7],[4,6],[5]]=>10
[3,4,6,5,1,7,2]=>[[1,2,3,6],[4,7],[5]]=>11
[3,4,6,5,2,1,7]=>[[1,2,3,7],[4],[5],[6]]=>12
[3,4,6,5,2,7,1]=>[[1,2,3,6],[4],[5],[7]]=>13
[3,4,6,5,7,1,2]=>[[1,2,3,5],[4,7],[6]]=>12
[3,4,6,5,7,2,1]=>[[1,2,3,5],[4],[6],[7]]=>14
[3,4,6,7,1,2,5]=>[[1,2,3,4],[5,6,7]]=>12
[3,4,6,7,1,5,2]=>[[1,2,3,4],[5,6],[7]]=>14
[3,4,6,7,2,1,5]=>[[1,2,3,4],[5,7],[6]]=>13
[3,4,6,7,2,5,1]=>[[1,2,3,4],[5,6],[7]]=>14
[3,4,6,7,5,1,2]=>[[1,2,3,4],[5,7],[6]]=>13
[3,4,6,7,5,2,1]=>[[1,2,3,4],[5],[6],[7]]=>15
[3,4,7,1,2,5,6]=>[[1,2,3,7],[4,5,6]]=>9
[3,4,7,1,2,6,5]=>[[1,2,3],[4,5,6],[7]]=>15
[3,4,7,1,5,2,6]=>[[1,2,3,7],[4,5],[6]]=>11
[3,4,7,1,5,6,2]=>[[1,2,3,6],[4,5],[7]]=>12
[3,4,7,1,6,2,5]=>[[1,2,3],[4,5,7],[6]]=>14
[3,4,7,1,6,5,2]=>[[1,2,3],[4,5],[6],[7]]=>17
[3,4,7,2,1,5,6]=>[[1,2,3,7],[4,6],[5]]=>10
[3,4,7,2,1,6,5]=>[[1,2,3],[4,6],[5,7]]=>14
[3,4,7,2,5,1,6]=>[[1,2,3,7],[4,5],[6]]=>11
[3,4,7,2,5,6,1]=>[[1,2,3,6],[4,5],[7]]=>12
[3,4,7,2,6,1,5]=>[[1,2,3],[4,5],[6,7]]=>16
[3,4,7,2,6,5,1]=>[[1,2,3],[4,5],[6],[7]]=>17
[3,4,7,5,1,2,6]=>[[1,2,3,7],[4,6],[5]]=>10
[3,4,7,5,1,6,2]=>[[1,2,3,6],[4,7],[5]]=>11
[3,4,7,5,2,1,6]=>[[1,2,3,7],[4],[5],[6]]=>12
[3,4,7,5,2,6,1]=>[[1,2,3,6],[4],[5],[7]]=>13
[3,4,7,5,6,1,2]=>[[1,2,3,5],[4,7],[6]]=>12
[3,4,7,5,6,2,1]=>[[1,2,3,5],[4],[6],[7]]=>14
[3,4,7,6,1,2,5]=>[[1,2,3],[4,6,7],[5]]=>13
[3,4,7,6,1,5,2]=>[[1,2,3],[4,6],[5],[7]]=>16
[3,4,7,6,2,1,5]=>[[1,2,3],[4,7],[5],[6]]=>15
[3,4,7,6,2,5,1]=>[[1,2,3],[4,6],[5],[7]]=>16
[3,4,7,6,5,1,2]=>[[1,2,3],[4,7],[5],[6]]=>15
[3,4,7,6,5,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>18
[3,5,1,2,4,6,7]=>[[1,2,5,6,7],[3,4]]=>4
[3,5,1,2,4,7,6]=>[[1,2,5,6],[3,4,7]]=>6
[3,5,1,2,6,4,7]=>[[1,2,5,7],[3,4,6]]=>5
[3,5,1,2,6,7,4]=>[[1,2,5,6],[3,4,7]]=>6
[3,5,1,2,7,4,6]=>[[1,2,5,7],[3,4,6]]=>5
[3,5,1,2,7,6,4]=>[[1,2,5],[3,4,6],[7]]=>11
[3,5,1,4,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>8
[3,5,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>9
[3,5,1,4,6,2,7]=>[[1,2,5,7],[3,4],[6]]=>9
[3,5,1,4,6,7,2]=>[[1,2,5,6],[3,4],[7]]=>10
[3,5,1,4,7,2,6]=>[[1,2,5],[3,4,7],[6]]=>10
[3,5,1,4,7,6,2]=>[[1,2,5],[3,4,6],[7]]=>11
[3,5,1,6,2,4,7]=>[[1,2,4,7],[3,5,6]]=>8
[3,5,1,6,2,7,4]=>[[1,2,4,6],[3,5,7]]=>9
[3,5,1,6,4,2,7]=>[[1,2,4,7],[3,5],[6]]=>10
[3,5,1,6,4,7,2]=>[[1,2,4,6],[3,5],[7]]=>11
[3,5,1,6,7,2,4]=>[[1,2,4,5],[3,6,7]]=>10
[3,5,1,6,7,4,2]=>[[1,2,4,5],[3,6],[7]]=>12
[3,5,1,7,2,4,6]=>[[1,2,4,7],[3,5,6]]=>8
[3,5,1,7,2,6,4]=>[[1,2,4],[3,5,6],[7]]=>14
[3,5,1,7,4,2,6]=>[[1,2,4],[3,5,7],[6]]=>13
[3,5,1,7,4,6,2]=>[[1,2,4],[3,5,6],[7]]=>14
[3,5,1,7,6,2,4]=>[[1,2,4],[3,5,7],[6]]=>13
[3,5,1,7,6,4,2]=>[[1,2,4],[3,5],[6],[7]]=>16
[3,5,2,1,4,6,7]=>[[1,2,6,7],[3,5],[4]]=>7
[3,5,2,1,4,7,6]=>[[1,2,6],[3,5,7],[4]]=>8
[3,5,2,1,6,4,7]=>[[1,2,5,7],[3,6],[4]]=>8
[3,5,2,1,6,7,4]=>[[1,2,5,6],[3,7],[4]]=>9
[3,5,2,1,7,4,6]=>[[1,2,5],[3,6,7],[4]]=>11
[3,5,2,1,7,6,4]=>[[1,2,5],[3,6],[4,7]]=>12
[3,5,2,4,1,6,7]=>[[1,2,6,7],[3,4],[5]]=>8
[3,5,2,4,1,7,6]=>[[1,2,6],[3,4,7],[5]]=>9
[3,5,2,4,6,1,7]=>[[1,2,5,7],[3,4],[6]]=>9
[3,5,2,4,6,7,1]=>[[1,2,5,6],[3,4],[7]]=>10
[3,5,2,4,7,1,6]=>[[1,2,5],[3,4,7],[6]]=>10
[3,5,2,4,7,6,1]=>[[1,2,5],[3,4,6],[7]]=>11
[3,5,2,6,1,4,7]=>[[1,2,4,7],[3,6],[5]]=>9
[3,5,2,6,1,7,4]=>[[1,2,4,6],[3,7],[5]]=>10
[3,5,2,6,4,1,7]=>[[1,2,4,7],[3,5],[6]]=>10
[3,5,2,6,4,7,1]=>[[1,2,4,6],[3,5],[7]]=>11
[3,5,2,6,7,1,4]=>[[1,2,4,5],[3,7],[6]]=>11
[3,5,2,6,7,4,1]=>[[1,2,4,5],[3,6],[7]]=>12
[3,5,2,7,1,4,6]=>[[1,2,4],[3,6,7],[5]]=>12
[3,5,2,7,1,6,4]=>[[1,2,4],[3,6],[5,7]]=>13
[3,5,2,7,4,1,6]=>[[1,2,4],[3,5,7],[6]]=>13
[3,5,2,7,4,6,1]=>[[1,2,4],[3,5,6],[7]]=>14
[3,5,2,7,6,1,4]=>[[1,2,4],[3,5],[6,7]]=>15
[3,5,2,7,6,4,1]=>[[1,2,4],[3,5],[6],[7]]=>16
[3,5,4,1,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>7
[3,5,4,1,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>8
[3,5,4,1,6,2,7]=>[[1,2,5,7],[3,6],[4]]=>8
[3,5,4,1,6,7,2]=>[[1,2,5,6],[3,7],[4]]=>9
[3,5,4,1,7,2,6]=>[[1,2,5],[3,6,7],[4]]=>11
[3,5,4,1,7,6,2]=>[[1,2,5],[3,6],[4,7]]=>12
[3,5,4,2,1,6,7]=>[[1,2,6,7],[3],[4],[5]]=>9
[3,5,4,2,1,7,6]=>[[1,2,6],[3,7],[4],[5]]=>12
[3,5,4,2,6,1,7]=>[[1,2,5,7],[3],[4],[6]]=>10
[3,5,4,2,6,7,1]=>[[1,2,5,6],[3],[4],[7]]=>11
[3,5,4,2,7,1,6]=>[[1,2,5],[3,7],[4],[6]]=>13
[3,5,4,2,7,6,1]=>[[1,2,5],[3,6],[4],[7]]=>14
[3,5,4,6,1,2,7]=>[[1,2,4,7],[3,6],[5]]=>9
[3,5,4,6,1,7,2]=>[[1,2,4,6],[3,7],[5]]=>10
[3,5,4,6,2,1,7]=>[[1,2,4,7],[3],[5],[6]]=>11
[3,5,4,6,2,7,1]=>[[1,2,4,6],[3],[5],[7]]=>12
[3,5,4,6,7,1,2]=>[[1,2,4,5],[3,7],[6]]=>11
[3,5,4,6,7,2,1]=>[[1,2,4,5],[3],[6],[7]]=>13
[3,5,4,7,1,2,6]=>[[1,2,4],[3,6,7],[5]]=>12
[3,5,4,7,1,6,2]=>[[1,2,4],[3,6],[5,7]]=>13
[3,5,4,7,2,1,6]=>[[1,2,4],[3,7],[5],[6]]=>14
[3,5,4,7,2,6,1]=>[[1,2,4],[3,6],[5],[7]]=>15
[3,5,4,7,6,1,2]=>[[1,2,4],[3,5],[6,7]]=>15
[3,5,4,7,6,2,1]=>[[1,2,4],[3,5],[6],[7]]=>16
[3,5,6,1,2,4,7]=>[[1,2,3,7],[4,5,6]]=>9
[3,5,6,1,2,7,4]=>[[1,2,3,6],[4,5,7]]=>10
[3,5,6,1,4,2,7]=>[[1,2,3,7],[4,5],[6]]=>11
[3,5,6,1,4,7,2]=>[[1,2,3,6],[4,5],[7]]=>12
[3,5,6,1,7,2,4]=>[[1,2,3,5],[4,6,7]]=>11
[3,5,6,1,7,4,2]=>[[1,2,3,5],[4,6],[7]]=>13
[3,5,6,2,1,4,7]=>[[1,2,3,7],[4,6],[5]]=>10
[3,5,6,2,1,7,4]=>[[1,2,3,6],[4,7],[5]]=>11
[3,5,6,2,4,1,7]=>[[1,2,3,7],[4,5],[6]]=>11
[3,5,6,2,4,7,1]=>[[1,2,3,6],[4,5],[7]]=>12
[3,5,6,2,7,1,4]=>[[1,2,3,5],[4,7],[6]]=>12
[3,5,6,2,7,4,1]=>[[1,2,3,5],[4,6],[7]]=>13
[3,5,6,4,1,2,7]=>[[1,2,3,7],[4,6],[5]]=>10
[3,5,6,4,1,7,2]=>[[1,2,3,6],[4,7],[5]]=>11
[3,5,6,4,2,1,7]=>[[1,2,3,7],[4],[5],[6]]=>12
[3,5,6,4,2,7,1]=>[[1,2,3,6],[4],[5],[7]]=>13
[3,5,6,4,7,1,2]=>[[1,2,3,5],[4,7],[6]]=>12
[3,5,6,4,7,2,1]=>[[1,2,3,5],[4],[6],[7]]=>14
[3,5,6,7,1,2,4]=>[[1,2,3,4],[5,6,7]]=>12
[3,5,6,7,1,4,2]=>[[1,2,3,4],[5,6],[7]]=>14
[3,5,6,7,2,1,4]=>[[1,2,3,4],[5,7],[6]]=>13
[3,5,6,7,2,4,1]=>[[1,2,3,4],[5,6],[7]]=>14
[3,5,6,7,4,1,2]=>[[1,2,3,4],[5,7],[6]]=>13
[3,5,6,7,4,2,1]=>[[1,2,3,4],[5],[6],[7]]=>15
[3,5,7,1,2,4,6]=>[[1,2,3,7],[4,5,6]]=>9
[3,5,7,1,2,6,4]=>[[1,2,3],[4,5,6],[7]]=>15
[3,5,7,1,4,2,6]=>[[1,2,3],[4,5,7],[6]]=>14
[3,5,7,1,4,6,2]=>[[1,2,3],[4,5,6],[7]]=>15
[3,5,7,1,6,2,4]=>[[1,2,3],[4,5,7],[6]]=>14
[3,5,7,1,6,4,2]=>[[1,2,3],[4,5],[6],[7]]=>17
[3,5,7,2,1,4,6]=>[[1,2,3],[4,6,7],[5]]=>13
[3,5,7,2,1,6,4]=>[[1,2,3],[4,6],[5,7]]=>14
[3,5,7,2,4,1,6]=>[[1,2,3],[4,5,7],[6]]=>14
[3,5,7,2,4,6,1]=>[[1,2,3],[4,5,6],[7]]=>15
[3,5,7,2,6,1,4]=>[[1,2,3],[4,5],[6,7]]=>16
[3,5,7,2,6,4,1]=>[[1,2,3],[4,5],[6],[7]]=>17
[3,5,7,4,1,2,6]=>[[1,2,3],[4,6,7],[5]]=>13
[3,5,7,4,1,6,2]=>[[1,2,3],[4,6],[5,7]]=>14
[3,5,7,4,2,1,6]=>[[1,2,3],[4,7],[5],[6]]=>15
[3,5,7,4,2,6,1]=>[[1,2,3],[4,6],[5],[7]]=>16
[3,5,7,4,6,1,2]=>[[1,2,3],[4,5],[6,7]]=>16
[3,5,7,4,6,2,1]=>[[1,2,3],[4,5],[6],[7]]=>17
[3,5,7,6,1,2,4]=>[[1,2,3],[4,6,7],[5]]=>13
[3,5,7,6,1,4,2]=>[[1,2,3],[4,6],[5],[7]]=>16
[3,5,7,6,2,1,4]=>[[1,2,3],[4,7],[5],[6]]=>15
[3,5,7,6,2,4,1]=>[[1,2,3],[4,6],[5],[7]]=>16
[3,5,7,6,4,1,2]=>[[1,2,3],[4,7],[5],[6]]=>15
[3,5,7,6,4,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>18
[3,6,1,2,4,5,7]=>[[1,2,5,6,7],[3,4]]=>4
[3,6,1,2,4,7,5]=>[[1,2,5,6],[3,4,7]]=>6
[3,6,1,2,5,4,7]=>[[1,2,5,7],[3,4],[6]]=>9
[3,6,1,2,5,7,4]=>[[1,2,5,6],[3,4],[7]]=>10
[3,6,1,2,7,4,5]=>[[1,2,5,7],[3,4,6]]=>5
[3,6,1,2,7,5,4]=>[[1,2,5],[3,4,6],[7]]=>11
[3,6,1,4,2,5,7]=>[[1,2,6,7],[3,4],[5]]=>8
[3,6,1,4,2,7,5]=>[[1,2,6],[3,4,7],[5]]=>9
[3,6,1,4,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>9
[3,6,1,4,5,7,2]=>[[1,2,5,6],[3,4],[7]]=>10
[3,6,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>10
[3,6,1,4,7,5,2]=>[[1,2,5],[3,4,6],[7]]=>11
[3,6,1,5,2,4,7]=>[[1,2,6,7],[3,4],[5]]=>8
[3,6,1,5,2,7,4]=>[[1,2,6],[3,4,7],[5]]=>9
[3,6,1,5,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>13
[3,6,1,5,4,7,2]=>[[1,2,6],[3,4],[5],[7]]=>14
[3,6,1,5,7,2,4]=>[[1,2,5],[3,4,7],[6]]=>10
[3,6,1,5,7,4,2]=>[[1,2,5],[3,4],[6],[7]]=>15
[3,6,1,7,2,4,5]=>[[1,2,4,7],[3,5,6]]=>8
[3,6,1,7,2,5,4]=>[[1,2,4],[3,5,6],[7]]=>14
[3,6,1,7,4,2,5]=>[[1,2,4],[3,5,7],[6]]=>13
[3,6,1,7,4,5,2]=>[[1,2,4],[3,5,6],[7]]=>14
[3,6,1,7,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>13
[3,6,1,7,5,4,2]=>[[1,2,4],[3,5],[6],[7]]=>16
[3,6,2,1,4,5,7]=>[[1,2,6,7],[3,5],[4]]=>7
[3,6,2,1,4,7,5]=>[[1,2,6],[3,5,7],[4]]=>8
[3,6,2,1,5,4,7]=>[[1,2,7],[3,5],[4,6]]=>10
[3,6,2,1,5,7,4]=>[[1,2,6],[3,5],[4,7]]=>11
[3,6,2,1,7,4,5]=>[[1,2,5],[3,6,7],[4]]=>11
[3,6,2,1,7,5,4]=>[[1,2,5],[3,6],[4,7]]=>12
[3,6,2,4,1,5,7]=>[[1,2,6,7],[3,4],[5]]=>8
[3,6,2,4,1,7,5]=>[[1,2,6],[3,4,7],[5]]=>9
[3,6,2,4,5,1,7]=>[[1,2,5,7],[3,4],[6]]=>9
[3,6,2,4,5,7,1]=>[[1,2,5,6],[3,4],[7]]=>10
[3,6,2,4,7,1,5]=>[[1,2,5],[3,4,7],[6]]=>10
[3,6,2,4,7,5,1]=>[[1,2,5],[3,4,6],[7]]=>11
[3,6,2,5,1,4,7]=>[[1,2,7],[3,4],[5,6]]=>12
[3,6,2,5,1,7,4]=>[[1,2,6],[3,4],[5,7]]=>13
[3,6,2,5,4,1,7]=>[[1,2,7],[3,4],[5],[6]]=>13
[3,6,2,5,4,7,1]=>[[1,2,6],[3,4],[5],[7]]=>14
[3,6,2,5,7,1,4]=>[[1,2,5],[3,4],[6,7]]=>14
[3,6,2,5,7,4,1]=>[[1,2,5],[3,4],[6],[7]]=>15
[3,6,2,7,1,4,5]=>[[1,2,4],[3,6,7],[5]]=>12
[3,6,2,7,1,5,4]=>[[1,2,4],[3,6],[5,7]]=>13
[3,6,2,7,4,1,5]=>[[1,2,4],[3,5,7],[6]]=>13
[3,6,2,7,4,5,1]=>[[1,2,4],[3,5,6],[7]]=>14
[3,6,2,7,5,1,4]=>[[1,2,4],[3,5],[6,7]]=>15
[3,6,2,7,5,4,1]=>[[1,2,4],[3,5],[6],[7]]=>16
[3,6,4,1,2,5,7]=>[[1,2,6,7],[3,5],[4]]=>7
[3,6,4,1,2,7,5]=>[[1,2,6],[3,5,7],[4]]=>8
[3,6,4,1,5,2,7]=>[[1,2,5,7],[3,6],[4]]=>8
[3,6,4,1,5,7,2]=>[[1,2,5,6],[3,7],[4]]=>9
[3,6,4,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>11
[3,6,4,1,7,5,2]=>[[1,2,5],[3,6],[4,7]]=>12
[3,6,4,2,1,5,7]=>[[1,2,6,7],[3],[4],[5]]=>9
[3,6,4,2,1,7,5]=>[[1,2,6],[3,7],[4],[5]]=>12
[3,6,4,2,5,1,7]=>[[1,2,5,7],[3],[4],[6]]=>10
[3,6,4,2,5,7,1]=>[[1,2,5,6],[3],[4],[7]]=>11
[3,6,4,2,7,1,5]=>[[1,2,5],[3,7],[4],[6]]=>13
[3,6,4,2,7,5,1]=>[[1,2,5],[3,6],[4],[7]]=>14
[3,6,4,5,1,2,7]=>[[1,2,4,7],[3,6],[5]]=>9
[3,6,4,5,1,7,2]=>[[1,2,4,6],[3,7],[5]]=>10
[3,6,4,5,2,1,7]=>[[1,2,4,7],[3],[5],[6]]=>11
[3,6,4,5,2,7,1]=>[[1,2,4,6],[3],[5],[7]]=>12
[3,6,4,5,7,1,2]=>[[1,2,4,5],[3,7],[6]]=>11
[3,6,4,5,7,2,1]=>[[1,2,4,5],[3],[6],[7]]=>13
[3,6,4,7,1,2,5]=>[[1,2,4],[3,6,7],[5]]=>12
[3,6,4,7,1,5,2]=>[[1,2,4],[3,6],[5,7]]=>13
[3,6,4,7,2,1,5]=>[[1,2,4],[3,7],[5],[6]]=>14
[3,6,4,7,2,5,1]=>[[1,2,4],[3,6],[5],[7]]=>15
[3,6,4,7,5,1,2]=>[[1,2,4],[3,5],[6,7]]=>15
[3,6,4,7,5,2,1]=>[[1,2,4],[3,5],[6],[7]]=>16
[3,6,5,1,2,4,7]=>[[1,2,6,7],[3,5],[4]]=>7
[3,6,5,1,2,7,4]=>[[1,2,6],[3,5,7],[4]]=>8
[3,6,5,1,4,2,7]=>[[1,2,7],[3,5],[4],[6]]=>12
[3,6,5,1,4,7,2]=>[[1,2,6],[3,5],[4],[7]]=>13
[3,6,5,1,7,2,4]=>[[1,2,5],[3,6,7],[4]]=>11
[3,6,5,1,7,4,2]=>[[1,2,5],[3,6],[4],[7]]=>14
[3,6,5,2,1,4,7]=>[[1,2,7],[3,6],[4],[5]]=>11
[3,6,5,2,1,7,4]=>[[1,2,6],[3,7],[4],[5]]=>12
[3,6,5,2,4,1,7]=>[[1,2,7],[3,5],[4],[6]]=>12
[3,6,5,2,4,7,1]=>[[1,2,6],[3,5],[4],[7]]=>13
[3,6,5,2,7,1,4]=>[[1,2,5],[3,7],[4],[6]]=>13
[3,6,5,2,7,4,1]=>[[1,2,5],[3,6],[4],[7]]=>14
[3,6,5,4,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>11
[3,6,5,4,1,7,2]=>[[1,2,6],[3,7],[4],[5]]=>12
[3,6,5,4,2,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>14
[3,6,5,4,2,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>15
[3,6,5,4,7,1,2]=>[[1,2,5],[3,7],[4],[6]]=>13
[3,6,5,4,7,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>16
[3,6,5,7,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>12
[3,6,5,7,1,4,2]=>[[1,2,4],[3,6],[5],[7]]=>15
[3,6,5,7,2,1,4]=>[[1,2,4],[3,7],[5],[6]]=>14
[3,6,5,7,2,4,1]=>[[1,2,4],[3,6],[5],[7]]=>15
[3,6,5,7,4,1,2]=>[[1,2,4],[3,7],[5],[6]]=>14
[3,6,5,7,4,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>17
[3,6,7,1,2,4,5]=>[[1,2,3,7],[4,5,6]]=>9
[3,6,7,1,2,5,4]=>[[1,2,3],[4,5,6],[7]]=>15
[3,6,7,1,4,2,5]=>[[1,2,3],[4,5,7],[6]]=>14
[3,6,7,1,4,5,2]=>[[1,2,3],[4,5,6],[7]]=>15
[3,6,7,1,5,2,4]=>[[1,2,3],[4,5,7],[6]]=>14
[3,6,7,1,5,4,2]=>[[1,2,3],[4,5],[6],[7]]=>17
[3,6,7,2,1,4,5]=>[[1,2,3],[4,6,7],[5]]=>13
[3,6,7,2,1,5,4]=>[[1,2,3],[4,6],[5,7]]=>14
[3,6,7,2,4,1,5]=>[[1,2,3],[4,5,7],[6]]=>14
[3,6,7,2,4,5,1]=>[[1,2,3],[4,5,6],[7]]=>15
[3,6,7,2,5,1,4]=>[[1,2,3],[4,5],[6,7]]=>16
[3,6,7,2,5,4,1]=>[[1,2,3],[4,5],[6],[7]]=>17
[3,6,7,4,1,2,5]=>[[1,2,3],[4,6,7],[5]]=>13
[3,6,7,4,1,5,2]=>[[1,2,3],[4,6],[5,7]]=>14
[3,6,7,4,2,1,5]=>[[1,2,3],[4,7],[5],[6]]=>15
[3,6,7,4,2,5,1]=>[[1,2,3],[4,6],[5],[7]]=>16
[3,6,7,4,5,1,2]=>[[1,2,3],[4,5],[6,7]]=>16
[3,6,7,4,5,2,1]=>[[1,2,3],[4,5],[6],[7]]=>17
[3,6,7,5,1,2,4]=>[[1,2,3],[4,6,7],[5]]=>13
[3,6,7,5,1,4,2]=>[[1,2,3],[4,6],[5],[7]]=>16
[3,6,7,5,2,1,4]=>[[1,2,3],[4,7],[5],[6]]=>15
[3,6,7,5,2,4,1]=>[[1,2,3],[4,6],[5],[7]]=>16
[3,6,7,5,4,1,2]=>[[1,2,3],[4,7],[5],[6]]=>15
[3,6,7,5,4,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>18
[3,7,1,2,4,5,6]=>[[1,2,5,6,7],[3,4]]=>4
[3,7,1,2,4,6,5]=>[[1,2,5,6],[3,4],[7]]=>10
[3,7,1,2,5,4,6]=>[[1,2,5,7],[3,4],[6]]=>9
[3,7,1,2,5,6,4]=>[[1,2,5,6],[3,4],[7]]=>10
[3,7,1,2,6,4,5]=>[[1,2,5,7],[3,4],[6]]=>9
[3,7,1,2,6,5,4]=>[[1,2,5],[3,4],[6],[7]]=>15
[3,7,1,4,2,5,6]=>[[1,2,6,7],[3,4],[5]]=>8
[3,7,1,4,2,6,5]=>[[1,2,6],[3,4,7],[5]]=>9
[3,7,1,4,5,2,6]=>[[1,2,5,7],[3,4],[6]]=>9
[3,7,1,4,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>10
[3,7,1,4,6,2,5]=>[[1,2,5],[3,4,7],[6]]=>10
[3,7,1,4,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>15
[3,7,1,5,2,4,6]=>[[1,2,6,7],[3,4],[5]]=>8
[3,7,1,5,2,6,4]=>[[1,2,6],[3,4,7],[5]]=>9
[3,7,1,5,4,2,6]=>[[1,2,7],[3,4],[5],[6]]=>13
[3,7,1,5,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>14
[3,7,1,5,6,2,4]=>[[1,2,5],[3,4,7],[6]]=>10
[3,7,1,5,6,4,2]=>[[1,2,5],[3,4],[6],[7]]=>15
[3,7,1,6,2,4,5]=>[[1,2,6,7],[3,4],[5]]=>8
[3,7,1,6,2,5,4]=>[[1,2,6],[3,4],[5],[7]]=>14
[3,7,1,6,4,2,5]=>[[1,2,7],[3,4],[5],[6]]=>13
[3,7,1,6,4,5,2]=>[[1,2,6],[3,4],[5],[7]]=>14
[3,7,1,6,5,2,4]=>[[1,2,7],[3,4],[5],[6]]=>13
[3,7,1,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>19
[3,7,2,1,4,5,6]=>[[1,2,6,7],[3,5],[4]]=>7
[3,7,2,1,4,6,5]=>[[1,2,6],[3,5],[4,7]]=>11
[3,7,2,1,5,4,6]=>[[1,2,7],[3,5],[4,6]]=>10
[3,7,2,1,5,6,4]=>[[1,2,6],[3,5],[4,7]]=>11
[3,7,2,1,6,4,5]=>[[1,2,7],[3,5],[4,6]]=>10
[3,7,2,1,6,5,4]=>[[1,2],[3,5],[4,6],[7]]=>16
[3,7,2,4,1,5,6]=>[[1,2,6,7],[3,4],[5]]=>8
[3,7,2,4,1,6,5]=>[[1,2,6],[3,4],[5,7]]=>13
[3,7,2,4,5,1,6]=>[[1,2,5,7],[3,4],[6]]=>9
[3,7,2,4,5,6,1]=>[[1,2,5,6],[3,4],[7]]=>10
[3,7,2,4,6,1,5]=>[[1,2,5],[3,4],[6,7]]=>14
[3,7,2,4,6,5,1]=>[[1,2,5],[3,4],[6],[7]]=>15
[3,7,2,5,1,4,6]=>[[1,2,7],[3,4],[5,6]]=>12
[3,7,2,5,1,6,4]=>[[1,2,6],[3,4],[5,7]]=>13
[3,7,2,5,4,1,6]=>[[1,2,7],[3,4],[5],[6]]=>13
[3,7,2,5,4,6,1]=>[[1,2,6],[3,4],[5],[7]]=>14
[3,7,2,5,6,1,4]=>[[1,2,5],[3,4],[6,7]]=>14
[3,7,2,5,6,4,1]=>[[1,2,5],[3,4],[6],[7]]=>15
[3,7,2,6,1,4,5]=>[[1,2,7],[3,4],[5,6]]=>12
[3,7,2,6,1,5,4]=>[[1,2],[3,4],[5,6],[7]]=>18
[3,7,2,6,4,1,5]=>[[1,2,7],[3,4],[5],[6]]=>13
[3,7,2,6,4,5,1]=>[[1,2,6],[3,4],[5],[7]]=>14
[3,7,2,6,5,1,4]=>[[1,2],[3,4],[5,7],[6]]=>17
[3,7,2,6,5,4,1]=>[[1,2],[3,4],[5],[6],[7]]=>19
[3,7,4,1,2,5,6]=>[[1,2,6,7],[3,5],[4]]=>7
[3,7,4,1,2,6,5]=>[[1,2,6],[3,5,7],[4]]=>8
[3,7,4,1,5,2,6]=>[[1,2,5,7],[3,6],[4]]=>8
[3,7,4,1,5,6,2]=>[[1,2,5,6],[3,7],[4]]=>9
[3,7,4,1,6,2,5]=>[[1,2,5],[3,6,7],[4]]=>11
[3,7,4,1,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>14
[3,7,4,2,1,5,6]=>[[1,2,6,7],[3],[4],[5]]=>9
[3,7,4,2,1,6,5]=>[[1,2,6],[3,7],[4],[5]]=>12
[3,7,4,2,5,1,6]=>[[1,2,5,7],[3],[4],[6]]=>10
[3,7,4,2,5,6,1]=>[[1,2,5,6],[3],[4],[7]]=>11
[3,7,4,2,6,1,5]=>[[1,2,5],[3,7],[4],[6]]=>13
[3,7,4,2,6,5,1]=>[[1,2,5],[3,6],[4],[7]]=>14
[3,7,4,5,1,2,6]=>[[1,2,4,7],[3,6],[5]]=>9
[3,7,4,5,1,6,2]=>[[1,2,4,6],[3,7],[5]]=>10
[3,7,4,5,2,1,6]=>[[1,2,4,7],[3],[5],[6]]=>11
[3,7,4,5,2,6,1]=>[[1,2,4,6],[3],[5],[7]]=>12
[3,7,4,5,6,1,2]=>[[1,2,4,5],[3,7],[6]]=>11
[3,7,4,5,6,2,1]=>[[1,2,4,5],[3],[6],[7]]=>13
[3,7,4,6,1,2,5]=>[[1,2,4],[3,6,7],[5]]=>12
[3,7,4,6,1,5,2]=>[[1,2,4],[3,6],[5],[7]]=>15
[3,7,4,6,2,1,5]=>[[1,2,4],[3,7],[5],[6]]=>14
[3,7,4,6,2,5,1]=>[[1,2,4],[3,6],[5],[7]]=>15
[3,7,4,6,5,1,2]=>[[1,2,4],[3,7],[5],[6]]=>14
[3,7,4,6,5,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>17
[3,7,5,1,2,4,6]=>[[1,2,6,7],[3,5],[4]]=>7
[3,7,5,1,2,6,4]=>[[1,2,6],[3,5,7],[4]]=>8
[3,7,5,1,4,2,6]=>[[1,2,7],[3,5],[4],[6]]=>12
[3,7,5,1,4,6,2]=>[[1,2,6],[3,5],[4],[7]]=>13
[3,7,5,1,6,2,4]=>[[1,2,5],[3,6,7],[4]]=>11
[3,7,5,1,6,4,2]=>[[1,2,5],[3,6],[4],[7]]=>14
[3,7,5,2,1,4,6]=>[[1,2,7],[3,6],[4],[5]]=>11
[3,7,5,2,1,6,4]=>[[1,2,6],[3,7],[4],[5]]=>12
[3,7,5,2,4,1,6]=>[[1,2,7],[3,5],[4],[6]]=>12
[3,7,5,2,4,6,1]=>[[1,2,6],[3,5],[4],[7]]=>13
[3,7,5,2,6,1,4]=>[[1,2,5],[3,7],[4],[6]]=>13
[3,7,5,2,6,4,1]=>[[1,2,5],[3,6],[4],[7]]=>14
[3,7,5,4,1,2,6]=>[[1,2,7],[3,6],[4],[5]]=>11
[3,7,5,4,1,6,2]=>[[1,2,6],[3,7],[4],[5]]=>12
[3,7,5,4,2,1,6]=>[[1,2,7],[3],[4],[5],[6]]=>14
[3,7,5,4,2,6,1]=>[[1,2,6],[3],[4],[5],[7]]=>15
[3,7,5,4,6,1,2]=>[[1,2,5],[3,7],[4],[6]]=>13
[3,7,5,4,6,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>16
[3,7,5,6,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>12
[3,7,5,6,1,4,2]=>[[1,2,4],[3,6],[5],[7]]=>15
[3,7,5,6,2,1,4]=>[[1,2,4],[3,7],[5],[6]]=>14
[3,7,5,6,2,4,1]=>[[1,2,4],[3,6],[5],[7]]=>15
[3,7,5,6,4,1,2]=>[[1,2,4],[3,7],[5],[6]]=>14
[3,7,5,6,4,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>17
[3,7,6,1,2,4,5]=>[[1,2,6,7],[3,5],[4]]=>7
[3,7,6,1,2,5,4]=>[[1,2,6],[3,5],[4],[7]]=>13
[3,7,6,1,4,2,5]=>[[1,2,7],[3,5],[4],[6]]=>12
[3,7,6,1,4,5,2]=>[[1,2,6],[3,5],[4],[7]]=>13
[3,7,6,1,5,2,4]=>[[1,2,7],[3,5],[4],[6]]=>12
[3,7,6,1,5,4,2]=>[[1,2],[3,5],[4],[6],[7]]=>18
[3,7,6,2,1,4,5]=>[[1,2,7],[3,6],[4],[5]]=>11
[3,7,6,2,1,5,4]=>[[1,2],[3,6],[4,7],[5]]=>14
[3,7,6,2,4,1,5]=>[[1,2,7],[3,5],[4],[6]]=>12
[3,7,6,2,4,5,1]=>[[1,2,6],[3,5],[4],[7]]=>13
[3,7,6,2,5,1,4]=>[[1,2],[3,5],[4,7],[6]]=>15
[3,7,6,2,5,4,1]=>[[1,2],[3,5],[4],[6],[7]]=>18
[3,7,6,4,1,2,5]=>[[1,2,7],[3,6],[4],[5]]=>11
[3,7,6,4,1,5,2]=>[[1,2,6],[3,7],[4],[5]]=>12
[3,7,6,4,2,1,5]=>[[1,2,7],[3],[4],[5],[6]]=>14
[3,7,6,4,2,5,1]=>[[1,2,6],[3],[4],[5],[7]]=>15
[3,7,6,4,5,1,2]=>[[1,2,5],[3,7],[4],[6]]=>13
[3,7,6,4,5,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>16
[3,7,6,5,1,2,4]=>[[1,2,7],[3,6],[4],[5]]=>11
[3,7,6,5,1,4,2]=>[[1,2],[3,6],[4],[5],[7]]=>17
[3,7,6,5,2,1,4]=>[[1,2],[3,7],[4],[5],[6]]=>16
[3,7,6,5,2,4,1]=>[[1,2],[3,6],[4],[5],[7]]=>17
[3,7,6,5,4,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>16
[3,7,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>20
[4,1,2,3,5,6,7]=>[[1,3,4,5,6,7],[2]]=>1
[4,1,2,3,5,7,6]=>[[1,3,4,5,6],[2,7]]=>5
[4,1,2,3,6,5,7]=>[[1,3,4,5,7],[2,6]]=>4
[4,1,2,3,6,7,5]=>[[1,3,4,5,6],[2,7]]=>5
[4,1,2,3,7,5,6]=>[[1,3,4,5,7],[2,6]]=>4
[4,1,2,3,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>10
[4,1,2,5,3,6,7]=>[[1,3,4,6,7],[2,5]]=>3
[4,1,2,5,3,7,6]=>[[1,3,4,6],[2,5,7]]=>6
[4,1,2,5,6,3,7]=>[[1,3,4,5,7],[2,6]]=>4
[4,1,2,5,6,7,3]=>[[1,3,4,5,6],[2,7]]=>5
[4,1,2,5,7,3,6]=>[[1,3,4,5],[2,6,7]]=>7
[4,1,2,5,7,6,3]=>[[1,3,4,5],[2,6],[7]]=>10
[4,1,2,6,3,5,7]=>[[1,3,4,6,7],[2,5]]=>3
[4,1,2,6,3,7,5]=>[[1,3,4,6],[2,5,7]]=>6
[4,1,2,6,5,3,7]=>[[1,3,4,7],[2,5],[6]]=>8
[4,1,2,6,5,7,3]=>[[1,3,4,6],[2,5],[7]]=>9
[4,1,2,6,7,3,5]=>[[1,3,4,5],[2,6,7]]=>7
[4,1,2,6,7,5,3]=>[[1,3,4,5],[2,6],[7]]=>10
[4,1,2,7,3,5,6]=>[[1,3,4,6,7],[2,5]]=>3
[4,1,2,7,3,6,5]=>[[1,3,4,6],[2,5],[7]]=>9
[4,1,2,7,5,3,6]=>[[1,3,4,7],[2,5],[6]]=>8
[4,1,2,7,5,6,3]=>[[1,3,4,6],[2,5],[7]]=>9
[4,1,2,7,6,3,5]=>[[1,3,4,7],[2,5],[6]]=>8
[4,1,2,7,6,5,3]=>[[1,3,4],[2,5],[6],[7]]=>14
[4,1,3,2,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>4
[4,1,3,2,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>7
[4,1,3,2,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>6
[4,1,3,2,6,7,5]=>[[1,3,5,6],[2,7],[4]]=>7
[4,1,3,2,7,5,6]=>[[1,3,5,7],[2,6],[4]]=>6
[4,1,3,2,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>9
[4,1,3,5,2,6,7]=>[[1,3,4,6,7],[2],[5]]=>5
[4,1,3,5,2,7,6]=>[[1,3,4,6],[2,7],[5]]=>8
[4,1,3,5,6,2,7]=>[[1,3,4,5,7],[2],[6]]=>6
[4,1,3,5,6,7,2]=>[[1,3,4,5,6],[2],[7]]=>7
[4,1,3,5,7,2,6]=>[[1,3,4,5],[2,7],[6]]=>9
[4,1,3,5,7,6,2]=>[[1,3,4,5],[2,6],[7]]=>10
[4,1,3,6,2,5,7]=>[[1,3,4,7],[2,6],[5]]=>7
[4,1,3,6,2,7,5]=>[[1,3,4,6],[2,7],[5]]=>8
[4,1,3,6,5,2,7]=>[[1,3,4,7],[2,5],[6]]=>8
[4,1,3,6,5,7,2]=>[[1,3,4,6],[2,5],[7]]=>9
[4,1,3,6,7,2,5]=>[[1,3,4,5],[2,7],[6]]=>9
[4,1,3,6,7,5,2]=>[[1,3,4,5],[2,6],[7]]=>10
[4,1,3,7,2,5,6]=>[[1,3,4,7],[2,6],[5]]=>7
[4,1,3,7,2,6,5]=>[[1,3,4],[2,6],[5,7]]=>10
[4,1,3,7,5,2,6]=>[[1,3,4,7],[2,5],[6]]=>8
[4,1,3,7,5,6,2]=>[[1,3,4,6],[2,5],[7]]=>9
[4,1,3,7,6,2,5]=>[[1,3,4],[2,5],[6,7]]=>13
[4,1,3,7,6,5,2]=>[[1,3,4],[2,5],[6],[7]]=>14
[4,1,5,2,3,6,7]=>[[1,3,5,6,7],[2,4]]=>2
[4,1,5,2,3,7,6]=>[[1,3,5,6],[2,4,7]]=>4
[4,1,5,2,6,3,7]=>[[1,3,5,7],[2,4,6]]=>3
[4,1,5,2,6,7,3]=>[[1,3,5,6],[2,4,7]]=>4
[4,1,5,2,7,3,6]=>[[1,3,5,7],[2,4,6]]=>3
[4,1,5,2,7,6,3]=>[[1,3,5],[2,4,6],[7]]=>9
[4,1,5,3,2,6,7]=>[[1,3,6,7],[2,4],[5]]=>6
[4,1,5,3,2,7,6]=>[[1,3,6],[2,4,7],[5]]=>7
[4,1,5,3,6,2,7]=>[[1,3,5,7],[2,4],[6]]=>7
[4,1,5,3,6,7,2]=>[[1,3,5,6],[2,4],[7]]=>8
[4,1,5,3,7,2,6]=>[[1,3,5],[2,4,7],[6]]=>8
[4,1,5,3,7,6,2]=>[[1,3,5],[2,4,6],[7]]=>9
[4,1,5,6,2,3,7]=>[[1,3,4,7],[2,5,6]]=>5
[4,1,5,6,2,7,3]=>[[1,3,4,6],[2,5,7]]=>6
[4,1,5,6,3,2,7]=>[[1,3,4,7],[2,5],[6]]=>8
[4,1,5,6,3,7,2]=>[[1,3,4,6],[2,5],[7]]=>9
[4,1,5,6,7,2,3]=>[[1,3,4,5],[2,6,7]]=>7
[4,1,5,6,7,3,2]=>[[1,3,4,5],[2,6],[7]]=>10
[4,1,5,7,2,3,6]=>[[1,3,4,7],[2,5,6]]=>5
[4,1,5,7,2,6,3]=>[[1,3,4],[2,5,6],[7]]=>11
[4,1,5,7,3,2,6]=>[[1,3,4],[2,5,7],[6]]=>10
[4,1,5,7,3,6,2]=>[[1,3,4],[2,5,6],[7]]=>11
[4,1,5,7,6,2,3]=>[[1,3,4],[2,5,7],[6]]=>10
[4,1,5,7,6,3,2]=>[[1,3,4],[2,5],[6],[7]]=>14
[4,1,6,2,3,5,7]=>[[1,3,5,6,7],[2,4]]=>2
[4,1,6,2,3,7,5]=>[[1,3,5,6],[2,4,7]]=>4
[4,1,6,2,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>7
[4,1,6,2,5,7,3]=>[[1,3,5,6],[2,4],[7]]=>8
[4,1,6,2,7,3,5]=>[[1,3,5,7],[2,4,6]]=>3
[4,1,6,2,7,5,3]=>[[1,3,5],[2,4,6],[7]]=>9
[4,1,6,3,2,5,7]=>[[1,3,6,7],[2,4],[5]]=>6
[4,1,6,3,2,7,5]=>[[1,3,6],[2,4,7],[5]]=>7
[4,1,6,3,5,2,7]=>[[1,3,5,7],[2,4],[6]]=>7
[4,1,6,3,5,7,2]=>[[1,3,5,6],[2,4],[7]]=>8
[4,1,6,3,7,2,5]=>[[1,3,5],[2,4,7],[6]]=>8
[4,1,6,3,7,5,2]=>[[1,3,5],[2,4,6],[7]]=>9
[4,1,6,5,2,3,7]=>[[1,3,6,7],[2,4],[5]]=>6
[4,1,6,5,2,7,3]=>[[1,3,6],[2,4,7],[5]]=>7
[4,1,6,5,3,2,7]=>[[1,3,7],[2,4],[5],[6]]=>11
[4,1,6,5,3,7,2]=>[[1,3,6],[2,4],[5],[7]]=>12
[4,1,6,5,7,2,3]=>[[1,3,5],[2,4,7],[6]]=>8
[4,1,6,5,7,3,2]=>[[1,3,5],[2,4],[6],[7]]=>13
[4,1,6,7,2,3,5]=>[[1,3,4,7],[2,5,6]]=>5
[4,1,6,7,2,5,3]=>[[1,3,4],[2,5,6],[7]]=>11
[4,1,6,7,3,2,5]=>[[1,3,4],[2,5,7],[6]]=>10
[4,1,6,7,3,5,2]=>[[1,3,4],[2,5,6],[7]]=>11
[4,1,6,7,5,2,3]=>[[1,3,4],[2,5,7],[6]]=>10
[4,1,6,7,5,3,2]=>[[1,3,4],[2,5],[6],[7]]=>14
[4,1,7,2,3,5,6]=>[[1,3,5,6,7],[2,4]]=>2
[4,1,7,2,3,6,5]=>[[1,3,5,6],[2,4],[7]]=>8
[4,1,7,2,5,3,6]=>[[1,3,5,7],[2,4],[6]]=>7
[4,1,7,2,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>8
[4,1,7,2,6,3,5]=>[[1,3,5,7],[2,4],[6]]=>7
[4,1,7,2,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>13
[4,1,7,3,2,5,6]=>[[1,3,6,7],[2,4],[5]]=>6
[4,1,7,3,2,6,5]=>[[1,3,6],[2,4],[5,7]]=>11
[4,1,7,3,5,2,6]=>[[1,3,5,7],[2,4],[6]]=>7
[4,1,7,3,5,6,2]=>[[1,3,5,6],[2,4],[7]]=>8
[4,1,7,3,6,2,5]=>[[1,3,5],[2,4],[6,7]]=>12
[4,1,7,3,6,5,2]=>[[1,3,5],[2,4],[6],[7]]=>13
[4,1,7,5,2,3,6]=>[[1,3,6,7],[2,4],[5]]=>6
[4,1,7,5,2,6,3]=>[[1,3,6],[2,4,7],[5]]=>7
[4,1,7,5,3,2,6]=>[[1,3,7],[2,4],[5],[6]]=>11
[4,1,7,5,3,6,2]=>[[1,3,6],[2,4],[5],[7]]=>12
[4,1,7,5,6,2,3]=>[[1,3,5],[2,4,7],[6]]=>8
[4,1,7,5,6,3,2]=>[[1,3,5],[2,4],[6],[7]]=>13
[4,1,7,6,2,3,5]=>[[1,3,6,7],[2,4],[5]]=>6
[4,1,7,6,2,5,3]=>[[1,3,6],[2,4],[5],[7]]=>12
[4,1,7,6,3,2,5]=>[[1,3,7],[2,4],[5],[6]]=>11
[4,1,7,6,3,5,2]=>[[1,3,6],[2,4],[5],[7]]=>12
[4,1,7,6,5,2,3]=>[[1,3,7],[2,4],[5],[6]]=>11
[4,1,7,6,5,3,2]=>[[1,3],[2,4],[5],[6],[7]]=>17
[4,2,1,3,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>3
[4,2,1,3,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>6
[4,2,1,3,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>5
[4,2,1,3,6,7,5]=>[[1,4,5,6],[2,7],[3]]=>6
[4,2,1,3,7,5,6]=>[[1,4,5,7],[2,6],[3]]=>5
[4,2,1,3,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>8
[4,2,1,5,3,6,7]=>[[1,4,6,7],[2,5],[3]]=>4
[4,2,1,5,3,7,6]=>[[1,4,6],[2,5,7],[3]]=>5
[4,2,1,5,6,3,7]=>[[1,4,5,7],[2,6],[3]]=>5
[4,2,1,5,6,7,3]=>[[1,4,5,6],[2,7],[3]]=>6
[4,2,1,5,7,3,6]=>[[1,4,5],[2,6,7],[3]]=>7
[4,2,1,5,7,6,3]=>[[1,4,5],[2,6],[3,7]]=>8
[4,2,1,6,3,5,7]=>[[1,4,6,7],[2,5],[3]]=>4
[4,2,1,6,3,7,5]=>[[1,4,6],[2,5,7],[3]]=>5
[4,2,1,6,5,3,7]=>[[1,4,7],[2,5],[3,6]]=>6
[4,2,1,6,5,7,3]=>[[1,4,6],[2,5],[3,7]]=>7
[4,2,1,6,7,3,5]=>[[1,4,5],[2,6,7],[3]]=>7
[4,2,1,6,7,5,3]=>[[1,4,5],[2,6],[3,7]]=>8
[4,2,1,7,3,5,6]=>[[1,4,6,7],[2,5],[3]]=>4
[4,2,1,7,3,6,5]=>[[1,4,6],[2,5],[3,7]]=>7
[4,2,1,7,5,3,6]=>[[1,4,7],[2,5],[3,6]]=>6
[4,2,1,7,5,6,3]=>[[1,4,6],[2,5],[3,7]]=>7
[4,2,1,7,6,3,5]=>[[1,4,7],[2,5],[3,6]]=>6
[4,2,1,7,6,5,3]=>[[1,4],[2,5],[3,6],[7]]=>12
[4,2,3,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>4
[4,2,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>7
[4,2,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>6
[4,2,3,1,6,7,5]=>[[1,3,5,6],[2,7],[4]]=>7
[4,2,3,1,7,5,6]=>[[1,3,5,7],[2,6],[4]]=>6
[4,2,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>9
[4,2,3,5,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>5
[4,2,3,5,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>8
[4,2,3,5,6,1,7]=>[[1,3,4,5,7],[2],[6]]=>6
[4,2,3,5,6,7,1]=>[[1,3,4,5,6],[2],[7]]=>7
[4,2,3,5,7,1,6]=>[[1,3,4,5],[2,7],[6]]=>9
[4,2,3,5,7,6,1]=>[[1,3,4,5],[2,6],[7]]=>10
[4,2,3,6,1,5,7]=>[[1,3,4,7],[2,6],[5]]=>7
[4,2,3,6,1,7,5]=>[[1,3,4,6],[2,7],[5]]=>8
[4,2,3,6,5,1,7]=>[[1,3,4,7],[2,5],[6]]=>8
[4,2,3,6,5,7,1]=>[[1,3,4,6],[2,5],[7]]=>9
[4,2,3,6,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>9
[4,2,3,6,7,5,1]=>[[1,3,4,5],[2,6],[7]]=>10
[4,2,3,7,1,5,6]=>[[1,3,4,7],[2,6],[5]]=>7
[4,2,3,7,1,6,5]=>[[1,3,4],[2,6],[5,7]]=>10
[4,2,3,7,5,1,6]=>[[1,3,4,7],[2,5],[6]]=>8
[4,2,3,7,5,6,1]=>[[1,3,4,6],[2,5],[7]]=>9
[4,2,3,7,6,1,5]=>[[1,3,4],[2,5],[6,7]]=>13
[4,2,3,7,6,5,1]=>[[1,3,4],[2,5],[6],[7]]=>14
[4,2,5,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>5
[4,2,5,1,3,7,6]=>[[1,3,6],[2,5,7],[4]]=>6
[4,2,5,1,6,3,7]=>[[1,3,5,7],[2,6],[4]]=>6
[4,2,5,1,6,7,3]=>[[1,3,5,6],[2,7],[4]]=>7
[4,2,5,1,7,3,6]=>[[1,3,5],[2,6,7],[4]]=>8
[4,2,5,1,7,6,3]=>[[1,3,5],[2,6],[4,7]]=>9
[4,2,5,3,1,6,7]=>[[1,3,6,7],[2,4],[5]]=>6
[4,2,5,3,1,7,6]=>[[1,3,6],[2,4,7],[5]]=>7
[4,2,5,3,6,1,7]=>[[1,3,5,7],[2,4],[6]]=>7
[4,2,5,3,6,7,1]=>[[1,3,5,6],[2,4],[7]]=>8
[4,2,5,3,7,1,6]=>[[1,3,5],[2,4,7],[6]]=>8
[4,2,5,3,7,6,1]=>[[1,3,5],[2,4,6],[7]]=>9
[4,2,5,6,1,3,7]=>[[1,3,4,7],[2,6],[5]]=>7
[4,2,5,6,1,7,3]=>[[1,3,4,6],[2,7],[5]]=>8
[4,2,5,6,3,1,7]=>[[1,3,4,7],[2,5],[6]]=>8
[4,2,5,6,3,7,1]=>[[1,3,4,6],[2,5],[7]]=>9
[4,2,5,6,7,1,3]=>[[1,3,4,5],[2,7],[6]]=>9
[4,2,5,6,7,3,1]=>[[1,3,4,5],[2,6],[7]]=>10
[4,2,5,7,1,3,6]=>[[1,3,4],[2,6,7],[5]]=>9
[4,2,5,7,1,6,3]=>[[1,3,4],[2,6],[5,7]]=>10
[4,2,5,7,3,1,6]=>[[1,3,4],[2,5,7],[6]]=>10
[4,2,5,7,3,6,1]=>[[1,3,4],[2,5,6],[7]]=>11
[4,2,5,7,6,1,3]=>[[1,3,4],[2,5],[6,7]]=>13
[4,2,5,7,6,3,1]=>[[1,3,4],[2,5],[6],[7]]=>14
[4,2,6,1,3,5,7]=>[[1,3,6,7],[2,5],[4]]=>5
[4,2,6,1,3,7,5]=>[[1,3,6],[2,5,7],[4]]=>6
[4,2,6,1,5,3,7]=>[[1,3,7],[2,5],[4,6]]=>7
[4,2,6,1,5,7,3]=>[[1,3,6],[2,5],[4,7]]=>8
[4,2,6,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>8
[4,2,6,1,7,5,3]=>[[1,3,5],[2,6],[4,7]]=>9
[4,2,6,3,1,5,7]=>[[1,3,6,7],[2,4],[5]]=>6
[4,2,6,3,1,7,5]=>[[1,3,6],[2,4,7],[5]]=>7
[4,2,6,3,5,1,7]=>[[1,3,5,7],[2,4],[6]]=>7
[4,2,6,3,5,7,1]=>[[1,3,5,6],[2,4],[7]]=>8
[4,2,6,3,7,1,5]=>[[1,3,5],[2,4,7],[6]]=>8
[4,2,6,3,7,5,1]=>[[1,3,5],[2,4,6],[7]]=>9
[4,2,6,5,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>10
[4,2,6,5,1,7,3]=>[[1,3,6],[2,4],[5,7]]=>11
[4,2,6,5,3,1,7]=>[[1,3,7],[2,4],[5],[6]]=>11
[4,2,6,5,3,7,1]=>[[1,3,6],[2,4],[5],[7]]=>12
[4,2,6,5,7,1,3]=>[[1,3,5],[2,4],[6,7]]=>12
[4,2,6,5,7,3,1]=>[[1,3,5],[2,4],[6],[7]]=>13
[4,2,6,7,1,3,5]=>[[1,3,4],[2,6,7],[5]]=>9
[4,2,6,7,1,5,3]=>[[1,3,4],[2,6],[5,7]]=>10
[4,2,6,7,3,1,5]=>[[1,3,4],[2,5,7],[6]]=>10
[4,2,6,7,3,5,1]=>[[1,3,4],[2,5,6],[7]]=>11
[4,2,6,7,5,1,3]=>[[1,3,4],[2,5],[6,7]]=>13
[4,2,6,7,5,3,1]=>[[1,3,4],[2,5],[6],[7]]=>14
[4,2,7,1,3,5,6]=>[[1,3,6,7],[2,5],[4]]=>5
[4,2,7,1,3,6,5]=>[[1,3,6],[2,5],[4,7]]=>8
[4,2,7,1,5,3,6]=>[[1,3,7],[2,5],[4,6]]=>7
[4,2,7,1,5,6,3]=>[[1,3,6],[2,5],[4,7]]=>8
[4,2,7,1,6,3,5]=>[[1,3,7],[2,5],[4,6]]=>7
[4,2,7,1,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>13
[4,2,7,3,1,5,6]=>[[1,3,6,7],[2,4],[5]]=>6
[4,2,7,3,1,6,5]=>[[1,3,6],[2,4],[5,7]]=>11
[4,2,7,3,5,1,6]=>[[1,3,5,7],[2,4],[6]]=>7
[4,2,7,3,5,6,1]=>[[1,3,5,6],[2,4],[7]]=>8
[4,2,7,3,6,1,5]=>[[1,3,5],[2,4],[6,7]]=>12
[4,2,7,3,6,5,1]=>[[1,3,5],[2,4],[6],[7]]=>13
[4,2,7,5,1,3,6]=>[[1,3,7],[2,4],[5,6]]=>10
[4,2,7,5,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>11
[4,2,7,5,3,1,6]=>[[1,3,7],[2,4],[5],[6]]=>11
[4,2,7,5,3,6,1]=>[[1,3,6],[2,4],[5],[7]]=>12
[4,2,7,5,6,1,3]=>[[1,3,5],[2,4],[6,7]]=>12
[4,2,7,5,6,3,1]=>[[1,3,5],[2,4],[6],[7]]=>13
[4,2,7,6,1,3,5]=>[[1,3,7],[2,4],[5,6]]=>10
[4,2,7,6,1,5,3]=>[[1,3],[2,4],[5,6],[7]]=>16
[4,2,7,6,3,1,5]=>[[1,3,7],[2,4],[5],[6]]=>11
[4,2,7,6,3,5,1]=>[[1,3,6],[2,4],[5],[7]]=>12
[4,2,7,6,5,1,3]=>[[1,3],[2,4],[5,7],[6]]=>15
[4,2,7,6,5,3,1]=>[[1,3],[2,4],[5],[6],[7]]=>17
[4,3,1,2,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>3
[4,3,1,2,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>6
[4,3,1,2,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>5
[4,3,1,2,6,7,5]=>[[1,4,5,6],[2,7],[3]]=>6
[4,3,1,2,7,5,6]=>[[1,4,5,7],[2,6],[3]]=>5
[4,3,1,2,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>8
[4,3,1,5,2,6,7]=>[[1,4,6,7],[2,5],[3]]=>4
[4,3,1,5,2,7,6]=>[[1,4,6],[2,5,7],[3]]=>5
[4,3,1,5,6,2,7]=>[[1,4,5,7],[2,6],[3]]=>5
[4,3,1,5,6,7,2]=>[[1,4,5,6],[2,7],[3]]=>6
[4,3,1,5,7,2,6]=>[[1,4,5],[2,6,7],[3]]=>7
[4,3,1,5,7,6,2]=>[[1,4,5],[2,6],[3,7]]=>8
[4,3,1,6,2,5,7]=>[[1,4,6,7],[2,5],[3]]=>4
[4,3,1,6,2,7,5]=>[[1,4,6],[2,5,7],[3]]=>5
[4,3,1,6,5,2,7]=>[[1,4,7],[2,5],[3,6]]=>6
[4,3,1,6,5,7,2]=>[[1,4,6],[2,5],[3,7]]=>7
[4,3,1,6,7,2,5]=>[[1,4,5],[2,6,7],[3]]=>7
[4,3,1,6,7,5,2]=>[[1,4,5],[2,6],[3,7]]=>8
[4,3,1,7,2,5,6]=>[[1,4,6,7],[2,5],[3]]=>4
[4,3,1,7,2,6,5]=>[[1,4,6],[2,5],[3,7]]=>7
[4,3,1,7,5,2,6]=>[[1,4,7],[2,5],[3,6]]=>6
[4,3,1,7,5,6,2]=>[[1,4,6],[2,5],[3,7]]=>7
[4,3,1,7,6,2,5]=>[[1,4,7],[2,5],[3,6]]=>6
[4,3,1,7,6,5,2]=>[[1,4],[2,5],[3,6],[7]]=>12
[4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4]]=>6
[4,3,2,1,5,7,6]=>[[1,5,6],[2,7],[3],[4]]=>8
[4,3,2,1,6,5,7]=>[[1,5,7],[2,6],[3],[4]]=>7
[4,3,2,1,6,7,5]=>[[1,5,6],[2,7],[3],[4]]=>8
[4,3,2,1,7,5,6]=>[[1,5,7],[2,6],[3],[4]]=>7
[4,3,2,1,7,6,5]=>[[1,5],[2,6],[3,7],[4]]=>9
[4,3,2,5,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>7
[4,3,2,5,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>9
[4,3,2,5,6,1,7]=>[[1,4,5,7],[2],[3],[6]]=>8
[4,3,2,5,6,7,1]=>[[1,4,5,6],[2],[3],[7]]=>9
[4,3,2,5,7,1,6]=>[[1,4,5],[2,7],[3],[6]]=>10
[4,3,2,5,7,6,1]=>[[1,4,5],[2,6],[3],[7]]=>11
[4,3,2,6,1,5,7]=>[[1,4,7],[2,6],[3],[5]]=>8
[4,3,2,6,1,7,5]=>[[1,4,6],[2,7],[3],[5]]=>9
[4,3,2,6,5,1,7]=>[[1,4,7],[2,5],[3],[6]]=>9
[4,3,2,6,5,7,1]=>[[1,4,6],[2,5],[3],[7]]=>10
[4,3,2,6,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>10
[4,3,2,6,7,5,1]=>[[1,4,5],[2,6],[3],[7]]=>11
[4,3,2,7,1,5,6]=>[[1,4,7],[2,6],[3],[5]]=>8
[4,3,2,7,1,6,5]=>[[1,4],[2,6],[3,7],[5]]=>10
[4,3,2,7,5,1,6]=>[[1,4,7],[2,5],[3],[6]]=>9
[4,3,2,7,5,6,1]=>[[1,4,6],[2,5],[3],[7]]=>10
[4,3,2,7,6,1,5]=>[[1,4],[2,5],[3,7],[6]]=>11
[4,3,2,7,6,5,1]=>[[1,4],[2,5],[3,6],[7]]=>12
[4,3,5,1,2,6,7]=>[[1,3,6,7],[2,5],[4]]=>5
[4,3,5,1,2,7,6]=>[[1,3,6],[2,5,7],[4]]=>6
[4,3,5,1,6,2,7]=>[[1,3,5,7],[2,6],[4]]=>6
[4,3,5,1,6,7,2]=>[[1,3,5,6],[2,7],[4]]=>7
[4,3,5,1,7,2,6]=>[[1,3,5],[2,6,7],[4]]=>8
[4,3,5,1,7,6,2]=>[[1,3,5],[2,6],[4,7]]=>9
[4,3,5,2,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>8
[4,3,5,2,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>10
[4,3,5,2,6,1,7]=>[[1,3,5,7],[2],[4],[6]]=>9
[4,3,5,2,6,7,1]=>[[1,3,5,6],[2],[4],[7]]=>10
[4,3,5,2,7,1,6]=>[[1,3,5],[2,7],[4],[6]]=>11
[4,3,5,2,7,6,1]=>[[1,3,5],[2,6],[4],[7]]=>12
[4,3,5,6,1,2,7]=>[[1,3,4,7],[2,6],[5]]=>7
[4,3,5,6,1,7,2]=>[[1,3,4,6],[2,7],[5]]=>8
[4,3,5,6,2,1,7]=>[[1,3,4,7],[2],[5],[6]]=>10
[4,3,5,6,2,7,1]=>[[1,3,4,6],[2],[5],[7]]=>11
[4,3,5,6,7,1,2]=>[[1,3,4,5],[2,7],[6]]=>9
[4,3,5,6,7,2,1]=>[[1,3,4,5],[2],[6],[7]]=>12
[4,3,5,7,1,2,6]=>[[1,3,4],[2,6,7],[5]]=>9
[4,3,5,7,1,6,2]=>[[1,3,4],[2,6],[5,7]]=>10
[4,3,5,7,2,1,6]=>[[1,3,4],[2,7],[5],[6]]=>12
[4,3,5,7,2,6,1]=>[[1,3,4],[2,6],[5],[7]]=>13
[4,3,5,7,6,1,2]=>[[1,3,4],[2,5],[6,7]]=>13
[4,3,5,7,6,2,1]=>[[1,3,4],[2,5],[6],[7]]=>14
[4,3,6,1,2,5,7]=>[[1,3,6,7],[2,5],[4]]=>5
[4,3,6,1,2,7,5]=>[[1,3,6],[2,5,7],[4]]=>6
[4,3,6,1,5,2,7]=>[[1,3,7],[2,5],[4,6]]=>7
[4,3,6,1,5,7,2]=>[[1,3,6],[2,5],[4,7]]=>8
[4,3,6,1,7,2,5]=>[[1,3,5],[2,6,7],[4]]=>8
[4,3,6,1,7,5,2]=>[[1,3,5],[2,6],[4,7]]=>9
[4,3,6,2,1,5,7]=>[[1,3,7],[2,6],[4],[5]]=>9
[4,3,6,2,1,7,5]=>[[1,3,6],[2,7],[4],[5]]=>10
[4,3,6,2,5,1,7]=>[[1,3,7],[2,5],[4],[6]]=>10
[4,3,6,2,5,7,1]=>[[1,3,6],[2,5],[4],[7]]=>11
[4,3,6,2,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>11
[4,3,6,2,7,5,1]=>[[1,3,5],[2,6],[4],[7]]=>12
[4,3,6,5,1,2,7]=>[[1,3,7],[2,4],[5,6]]=>10
[4,3,6,5,1,7,2]=>[[1,3,6],[2,4],[5,7]]=>11
[4,3,6,5,2,1,7]=>[[1,3,7],[2,4],[5],[6]]=>11
[4,3,6,5,2,7,1]=>[[1,3,6],[2,4],[5],[7]]=>12
[4,3,6,5,7,1,2]=>[[1,3,5],[2,4],[6,7]]=>12
[4,3,6,5,7,2,1]=>[[1,3,5],[2,4],[6],[7]]=>13
[4,3,6,7,1,2,5]=>[[1,3,4],[2,6,7],[5]]=>9
[4,3,6,7,1,5,2]=>[[1,3,4],[2,6],[5,7]]=>10
[4,3,6,7,2,1,5]=>[[1,3,4],[2,7],[5],[6]]=>12
[4,3,6,7,2,5,1]=>[[1,3,4],[2,6],[5],[7]]=>13
[4,3,6,7,5,1,2]=>[[1,3,4],[2,5],[6,7]]=>13
[4,3,6,7,5,2,1]=>[[1,3,4],[2,5],[6],[7]]=>14
[4,3,7,1,2,5,6]=>[[1,3,6,7],[2,5],[4]]=>5
[4,3,7,1,2,6,5]=>[[1,3,6],[2,5],[4,7]]=>8
[4,3,7,1,5,2,6]=>[[1,3,7],[2,5],[4,6]]=>7
[4,3,7,1,5,6,2]=>[[1,3,6],[2,5],[4,7]]=>8
[4,3,7,1,6,2,5]=>[[1,3,7],[2,5],[4,6]]=>7
[4,3,7,1,6,5,2]=>[[1,3],[2,5],[4,6],[7]]=>13
[4,3,7,2,1,5,6]=>[[1,3,7],[2,6],[4],[5]]=>9
[4,3,7,2,1,6,5]=>[[1,3],[2,6],[4,7],[5]]=>11
[4,3,7,2,5,1,6]=>[[1,3,7],[2,5],[4],[6]]=>10
[4,3,7,2,5,6,1]=>[[1,3,6],[2,5],[4],[7]]=>11
[4,3,7,2,6,1,5]=>[[1,3],[2,5],[4,7],[6]]=>12
[4,3,7,2,6,5,1]=>[[1,3],[2,5],[4,6],[7]]=>13
[4,3,7,5,1,2,6]=>[[1,3,7],[2,4],[5,6]]=>10
[4,3,7,5,1,6,2]=>[[1,3,6],[2,4],[5,7]]=>11
[4,3,7,5,2,1,6]=>[[1,3,7],[2,4],[5],[6]]=>11
[4,3,7,5,2,6,1]=>[[1,3,6],[2,4],[5],[7]]=>12
[4,3,7,5,6,1,2]=>[[1,3,5],[2,4],[6,7]]=>12
[4,3,7,5,6,2,1]=>[[1,3,5],[2,4],[6],[7]]=>13
[4,3,7,6,1,2,5]=>[[1,3,7],[2,4],[5,6]]=>10
[4,3,7,6,1,5,2]=>[[1,3],[2,4],[5,6],[7]]=>16
[4,3,7,6,2,1,5]=>[[1,3],[2,4],[5,7],[6]]=>15
[4,3,7,6,2,5,1]=>[[1,3],[2,4],[5,6],[7]]=>16
[4,3,7,6,5,1,2]=>[[1,3],[2,4],[5,7],[6]]=>15
[4,3,7,6,5,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>17
[4,5,1,2,3,6,7]=>[[1,2,5,6,7],[3,4]]=>4
[4,5,1,2,3,7,6]=>[[1,2,5,6],[3,4,7]]=>6
[4,5,1,2,6,3,7]=>[[1,2,5,7],[3,4,6]]=>5
[4,5,1,2,6,7,3]=>[[1,2,5,6],[3,4,7]]=>6
[4,5,1,2,7,3,6]=>[[1,2,5,7],[3,4,6]]=>5
[4,5,1,2,7,6,3]=>[[1,2,5],[3,4,6],[7]]=>11
[4,5,1,3,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>8
[4,5,1,3,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>9
[4,5,1,3,6,2,7]=>[[1,2,5,7],[3,4],[6]]=>9
[4,5,1,3,6,7,2]=>[[1,2,5,6],[3,4],[7]]=>10
[4,5,1,3,7,2,6]=>[[1,2,5],[3,4,7],[6]]=>10
[4,5,1,3,7,6,2]=>[[1,2,5],[3,4,6],[7]]=>11
[4,5,1,6,2,3,7]=>[[1,2,4,7],[3,5,6]]=>8
[4,5,1,6,2,7,3]=>[[1,2,4,6],[3,5,7]]=>9
[4,5,1,6,3,2,7]=>[[1,2,4,7],[3,5],[6]]=>10
[4,5,1,6,3,7,2]=>[[1,2,4,6],[3,5],[7]]=>11
[4,5,1,6,7,2,3]=>[[1,2,4,5],[3,6,7]]=>10
[4,5,1,6,7,3,2]=>[[1,2,4,5],[3,6],[7]]=>12
[4,5,1,7,2,3,6]=>[[1,2,4,7],[3,5,6]]=>8
[4,5,1,7,2,6,3]=>[[1,2,4],[3,5,6],[7]]=>14
[4,5,1,7,3,2,6]=>[[1,2,4],[3,5,7],[6]]=>13
[4,5,1,7,3,6,2]=>[[1,2,4],[3,5,6],[7]]=>14
[4,5,1,7,6,2,3]=>[[1,2,4],[3,5,7],[6]]=>13
[4,5,1,7,6,3,2]=>[[1,2,4],[3,5],[6],[7]]=>16
[4,5,2,1,3,6,7]=>[[1,2,6,7],[3,5],[4]]=>7
[4,5,2,1,3,7,6]=>[[1,2,6],[3,5,7],[4]]=>8
[4,5,2,1,6,3,7]=>[[1,2,5,7],[3,6],[4]]=>8
[4,5,2,1,6,7,3]=>[[1,2,5,6],[3,7],[4]]=>9
[4,5,2,1,7,3,6]=>[[1,2,5],[3,6,7],[4]]=>11
[4,5,2,1,7,6,3]=>[[1,2,5],[3,6],[4,7]]=>12
[4,5,2,3,1,6,7]=>[[1,2,6,7],[3,4],[5]]=>8
[4,5,2,3,1,7,6]=>[[1,2,6],[3,4,7],[5]]=>9
[4,5,2,3,6,1,7]=>[[1,2,5,7],[3,4],[6]]=>9
[4,5,2,3,6,7,1]=>[[1,2,5,6],[3,4],[7]]=>10
[4,5,2,3,7,1,6]=>[[1,2,5],[3,4,7],[6]]=>10
[4,5,2,3,7,6,1]=>[[1,2,5],[3,4,6],[7]]=>11
[4,5,2,6,1,3,7]=>[[1,2,4,7],[3,6],[5]]=>9
[4,5,2,6,1,7,3]=>[[1,2,4,6],[3,7],[5]]=>10
[4,5,2,6,3,1,7]=>[[1,2,4,7],[3,5],[6]]=>10
[4,5,2,6,3,7,1]=>[[1,2,4,6],[3,5],[7]]=>11
[4,5,2,6,7,1,3]=>[[1,2,4,5],[3,7],[6]]=>11
[4,5,2,6,7,3,1]=>[[1,2,4,5],[3,6],[7]]=>12
[4,5,2,7,1,3,6]=>[[1,2,4],[3,6,7],[5]]=>12
[4,5,2,7,1,6,3]=>[[1,2,4],[3,6],[5,7]]=>13
[4,5,2,7,3,1,6]=>[[1,2,4],[3,5,7],[6]]=>13
[4,5,2,7,3,6,1]=>[[1,2,4],[3,5,6],[7]]=>14
[4,5,2,7,6,1,3]=>[[1,2,4],[3,5],[6,7]]=>15
[4,5,2,7,6,3,1]=>[[1,2,4],[3,5],[6],[7]]=>16
[4,5,3,1,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>7
[4,5,3,1,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>8
[4,5,3,1,6,2,7]=>[[1,2,5,7],[3,6],[4]]=>8
[4,5,3,1,6,7,2]=>[[1,2,5,6],[3,7],[4]]=>9
[4,5,3,1,7,2,6]=>[[1,2,5],[3,6,7],[4]]=>11
[4,5,3,1,7,6,2]=>[[1,2,5],[3,6],[4,7]]=>12
[4,5,3,2,1,6,7]=>[[1,2,6,7],[3],[4],[5]]=>9
[4,5,3,2,1,7,6]=>[[1,2,6],[3,7],[4],[5]]=>12
[4,5,3,2,6,1,7]=>[[1,2,5,7],[3],[4],[6]]=>10
[4,5,3,2,6,7,1]=>[[1,2,5,6],[3],[4],[7]]=>11
[4,5,3,2,7,1,6]=>[[1,2,5],[3,7],[4],[6]]=>13
[4,5,3,2,7,6,1]=>[[1,2,5],[3,6],[4],[7]]=>14
[4,5,3,6,1,2,7]=>[[1,2,4,7],[3,6],[5]]=>9
[4,5,3,6,1,7,2]=>[[1,2,4,6],[3,7],[5]]=>10
[4,5,3,6,2,1,7]=>[[1,2,4,7],[3],[5],[6]]=>11
[4,5,3,6,2,7,1]=>[[1,2,4,6],[3],[5],[7]]=>12
[4,5,3,6,7,1,2]=>[[1,2,4,5],[3,7],[6]]=>11
[4,5,3,6,7,2,1]=>[[1,2,4,5],[3],[6],[7]]=>13
[4,5,3,7,1,2,6]=>[[1,2,4],[3,6,7],[5]]=>12
[4,5,3,7,1,6,2]=>[[1,2,4],[3,6],[5,7]]=>13
[4,5,3,7,2,1,6]=>[[1,2,4],[3,7],[5],[6]]=>14
[4,5,3,7,2,6,1]=>[[1,2,4],[3,6],[5],[7]]=>15
[4,5,3,7,6,1,2]=>[[1,2,4],[3,5],[6,7]]=>15
[4,5,3,7,6,2,1]=>[[1,2,4],[3,5],[6],[7]]=>16
[4,5,6,1,2,3,7]=>[[1,2,3,7],[4,5,6]]=>9
[4,5,6,1,2,7,3]=>[[1,2,3,6],[4,5,7]]=>10
[4,5,6,1,3,2,7]=>[[1,2,3,7],[4,5],[6]]=>11
[4,5,6,1,3,7,2]=>[[1,2,3,6],[4,5],[7]]=>12
[4,5,6,1,7,2,3]=>[[1,2,3,5],[4,6,7]]=>11
[4,5,6,1,7,3,2]=>[[1,2,3,5],[4,6],[7]]=>13
[4,5,6,2,1,3,7]=>[[1,2,3,7],[4,6],[5]]=>10
[4,5,6,2,1,7,3]=>[[1,2,3,6],[4,7],[5]]=>11
[4,5,6,2,3,1,7]=>[[1,2,3,7],[4,5],[6]]=>11
[4,5,6,2,3,7,1]=>[[1,2,3,6],[4,5],[7]]=>12
[4,5,6,2,7,1,3]=>[[1,2,3,5],[4,7],[6]]=>12
[4,5,6,2,7,3,1]=>[[1,2,3,5],[4,6],[7]]=>13
[4,5,6,3,1,2,7]=>[[1,2,3,7],[4,6],[5]]=>10
[4,5,6,3,1,7,2]=>[[1,2,3,6],[4,7],[5]]=>11
[4,5,6,3,2,1,7]=>[[1,2,3,7],[4],[5],[6]]=>12
[4,5,6,3,2,7,1]=>[[1,2,3,6],[4],[5],[7]]=>13
[4,5,6,3,7,1,2]=>[[1,2,3,5],[4,7],[6]]=>12
[4,5,6,3,7,2,1]=>[[1,2,3,5],[4],[6],[7]]=>14
[4,5,6,7,1,2,3]=>[[1,2,3,4],[5,6,7]]=>12
[4,5,6,7,1,3,2]=>[[1,2,3,4],[5,6],[7]]=>14
[4,5,6,7,2,1,3]=>[[1,2,3,4],[5,7],[6]]=>13
[4,5,6,7,2,3,1]=>[[1,2,3,4],[5,6],[7]]=>14
[4,5,6,7,3,1,2]=>[[1,2,3,4],[5,7],[6]]=>13
[4,5,6,7,3,2,1]=>[[1,2,3,4],[5],[6],[7]]=>15
[4,5,7,1,2,3,6]=>[[1,2,3,7],[4,5,6]]=>9
[4,5,7,1,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>15
[4,5,7,1,3,2,6]=>[[1,2,3],[4,5,7],[6]]=>14
[4,5,7,1,3,6,2]=>[[1,2,3],[4,5,6],[7]]=>15
[4,5,7,1,6,2,3]=>[[1,2,3],[4,5,7],[6]]=>14
[4,5,7,1,6,3,2]=>[[1,2,3],[4,5],[6],[7]]=>17
[4,5,7,2,1,3,6]=>[[1,2,3],[4,6,7],[5]]=>13
[4,5,7,2,1,6,3]=>[[1,2,3],[4,6],[5,7]]=>14
[4,5,7,2,3,1,6]=>[[1,2,3],[4,5,7],[6]]=>14
[4,5,7,2,3,6,1]=>[[1,2,3],[4,5,6],[7]]=>15
[4,5,7,2,6,1,3]=>[[1,2,3],[4,5],[6,7]]=>16
[4,5,7,2,6,3,1]=>[[1,2,3],[4,5],[6],[7]]=>17
[4,5,7,3,1,2,6]=>[[1,2,3],[4,6,7],[5]]=>13
[4,5,7,3,1,6,2]=>[[1,2,3],[4,6],[5,7]]=>14
[4,5,7,3,2,1,6]=>[[1,2,3],[4,7],[5],[6]]=>15
[4,5,7,3,2,6,1]=>[[1,2,3],[4,6],[5],[7]]=>16
[4,5,7,3,6,1,2]=>[[1,2,3],[4,5],[6,7]]=>16
[4,5,7,3,6,2,1]=>[[1,2,3],[4,5],[6],[7]]=>17
[4,5,7,6,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>13
[4,5,7,6,1,3,2]=>[[1,2,3],[4,6],[5],[7]]=>16
[4,5,7,6,2,1,3]=>[[1,2,3],[4,7],[5],[6]]=>15
[4,5,7,6,2,3,1]=>[[1,2,3],[4,6],[5],[7]]=>16
[4,5,7,6,3,1,2]=>[[1,2,3],[4,7],[5],[6]]=>15
[4,5,7,6,3,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>18
[4,6,1,2,3,5,7]=>[[1,2,5,6,7],[3,4]]=>4
[4,6,1,2,3,7,5]=>[[1,2,5,6],[3,4,7]]=>6
[4,6,1,2,5,3,7]=>[[1,2,5,7],[3,4],[6]]=>9
[4,6,1,2,5,7,3]=>[[1,2,5,6],[3,4],[7]]=>10
[4,6,1,2,7,3,5]=>[[1,2,5,7],[3,4,6]]=>5
[4,6,1,2,7,5,3]=>[[1,2,5],[3,4,6],[7]]=>11
[4,6,1,3,2,5,7]=>[[1,2,6,7],[3,4],[5]]=>8
[4,6,1,3,2,7,5]=>[[1,2,6],[3,4,7],[5]]=>9
[4,6,1,3,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>9
[4,6,1,3,5,7,2]=>[[1,2,5,6],[3,4],[7]]=>10
[4,6,1,3,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>10
[4,6,1,3,7,5,2]=>[[1,2,5],[3,4,6],[7]]=>11
[4,6,1,5,2,3,7]=>[[1,2,6,7],[3,4],[5]]=>8
[4,6,1,5,2,7,3]=>[[1,2,6],[3,4,7],[5]]=>9
[4,6,1,5,3,2,7]=>[[1,2,7],[3,4],[5],[6]]=>13
[4,6,1,5,3,7,2]=>[[1,2,6],[3,4],[5],[7]]=>14
[4,6,1,5,7,2,3]=>[[1,2,5],[3,4,7],[6]]=>10
[4,6,1,5,7,3,2]=>[[1,2,5],[3,4],[6],[7]]=>15
[4,6,1,7,2,3,5]=>[[1,2,4,7],[3,5,6]]=>8
[4,6,1,7,2,5,3]=>[[1,2,4],[3,5,6],[7]]=>14
[4,6,1,7,3,2,5]=>[[1,2,4],[3,5,7],[6]]=>13
[4,6,1,7,3,5,2]=>[[1,2,4],[3,5,6],[7]]=>14
[4,6,1,7,5,2,3]=>[[1,2,4],[3,5,7],[6]]=>13
[4,6,1,7,5,3,2]=>[[1,2,4],[3,5],[6],[7]]=>16
[4,6,2,1,3,5,7]=>[[1,2,6,7],[3,5],[4]]=>7
[4,6,2,1,3,7,5]=>[[1,2,6],[3,5,7],[4]]=>8
[4,6,2,1,5,3,7]=>[[1,2,7],[3,5],[4,6]]=>10
[4,6,2,1,5,7,3]=>[[1,2,6],[3,5],[4,7]]=>11
[4,6,2,1,7,3,5]=>[[1,2,5],[3,6,7],[4]]=>11
[4,6,2,1,7,5,3]=>[[1,2,5],[3,6],[4,7]]=>12
[4,6,2,3,1,5,7]=>[[1,2,6,7],[3,4],[5]]=>8
[4,6,2,3,1,7,5]=>[[1,2,6],[3,4,7],[5]]=>9
[4,6,2,3,5,1,7]=>[[1,2,5,7],[3,4],[6]]=>9
[4,6,2,3,5,7,1]=>[[1,2,5,6],[3,4],[7]]=>10
[4,6,2,3,7,1,5]=>[[1,2,5],[3,4,7],[6]]=>10
[4,6,2,3,7,5,1]=>[[1,2,5],[3,4,6],[7]]=>11
[4,6,2,5,1,3,7]=>[[1,2,7],[3,4],[5,6]]=>12
[4,6,2,5,1,7,3]=>[[1,2,6],[3,4],[5,7]]=>13
[4,6,2,5,3,1,7]=>[[1,2,7],[3,4],[5],[6]]=>13
[4,6,2,5,3,7,1]=>[[1,2,6],[3,4],[5],[7]]=>14
[4,6,2,5,7,1,3]=>[[1,2,5],[3,4],[6,7]]=>14
[4,6,2,5,7,3,1]=>[[1,2,5],[3,4],[6],[7]]=>15
[4,6,2,7,1,3,5]=>[[1,2,4],[3,6,7],[5]]=>12
[4,6,2,7,1,5,3]=>[[1,2,4],[3,6],[5,7]]=>13
[4,6,2,7,3,1,5]=>[[1,2,4],[3,5,7],[6]]=>13
[4,6,2,7,3,5,1]=>[[1,2,4],[3,5,6],[7]]=>14
[4,6,2,7,5,1,3]=>[[1,2,4],[3,5],[6,7]]=>15
[4,6,2,7,5,3,1]=>[[1,2,4],[3,5],[6],[7]]=>16
[4,6,3,1,2,5,7]=>[[1,2,6,7],[3,5],[4]]=>7
[4,6,3,1,2,7,5]=>[[1,2,6],[3,5,7],[4]]=>8
[4,6,3,1,5,2,7]=>[[1,2,7],[3,5],[4,6]]=>10
[4,6,3,1,5,7,2]=>[[1,2,6],[3,5],[4,7]]=>11
[4,6,3,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>11
[4,6,3,1,7,5,2]=>[[1,2,5],[3,6],[4,7]]=>12
[4,6,3,2,1,5,7]=>[[1,2,7],[3,6],[4],[5]]=>11
[4,6,3,2,1,7,5]=>[[1,2,6],[3,7],[4],[5]]=>12
[4,6,3,2,5,1,7]=>[[1,2,7],[3,5],[4],[6]]=>12
[4,6,3,2,5,7,1]=>[[1,2,6],[3,5],[4],[7]]=>13
[4,6,3,2,7,1,5]=>[[1,2,5],[3,7],[4],[6]]=>13
[4,6,3,2,7,5,1]=>[[1,2,5],[3,6],[4],[7]]=>14
[4,6,3,5,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>12
[4,6,3,5,1,7,2]=>[[1,2,6],[3,4],[5,7]]=>13
[4,6,3,5,2,1,7]=>[[1,2,7],[3,4],[5],[6]]=>13
[4,6,3,5,2,7,1]=>[[1,2,6],[3,4],[5],[7]]=>14
[4,6,3,5,7,1,2]=>[[1,2,5],[3,4],[6,7]]=>14
[4,6,3,5,7,2,1]=>[[1,2,5],[3,4],[6],[7]]=>15
[4,6,3,7,1,2,5]=>[[1,2,4],[3,6,7],[5]]=>12
[4,6,3,7,1,5,2]=>[[1,2,4],[3,6],[5,7]]=>13
[4,6,3,7,2,1,5]=>[[1,2,4],[3,7],[5],[6]]=>14
[4,6,3,7,2,5,1]=>[[1,2,4],[3,6],[5],[7]]=>15
[4,6,3,7,5,1,2]=>[[1,2,4],[3,5],[6,7]]=>15
[4,6,3,7,5,2,1]=>[[1,2,4],[3,5],[6],[7]]=>16
[4,6,5,1,2,3,7]=>[[1,2,6,7],[3,5],[4]]=>7
[4,6,5,1,2,7,3]=>[[1,2,6],[3,5,7],[4]]=>8
[4,6,5,1,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>12
[4,6,5,1,3,7,2]=>[[1,2,6],[3,5],[4],[7]]=>13
[4,6,5,1,7,2,3]=>[[1,2,5],[3,6,7],[4]]=>11
[4,6,5,1,7,3,2]=>[[1,2,5],[3,6],[4],[7]]=>14
[4,6,5,2,1,3,7]=>[[1,2,7],[3,6],[4],[5]]=>11
[4,6,5,2,1,7,3]=>[[1,2,6],[3,7],[4],[5]]=>12
[4,6,5,2,3,1,7]=>[[1,2,7],[3,5],[4],[6]]=>12
[4,6,5,2,3,7,1]=>[[1,2,6],[3,5],[4],[7]]=>13
[4,6,5,2,7,1,3]=>[[1,2,5],[3,7],[4],[6]]=>13
[4,6,5,2,7,3,1]=>[[1,2,5],[3,6],[4],[7]]=>14
[4,6,5,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>11
[4,6,5,3,1,7,2]=>[[1,2,6],[3,7],[4],[5]]=>12
[4,6,5,3,2,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>14
[4,6,5,3,2,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>15
[4,6,5,3,7,1,2]=>[[1,2,5],[3,7],[4],[6]]=>13
[4,6,5,3,7,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>16
[4,6,5,7,1,2,3]=>[[1,2,4],[3,6,7],[5]]=>12
[4,6,5,7,1,3,2]=>[[1,2,4],[3,6],[5],[7]]=>15
[4,6,5,7,2,1,3]=>[[1,2,4],[3,7],[5],[6]]=>14
[4,6,5,7,2,3,1]=>[[1,2,4],[3,6],[5],[7]]=>15
[4,6,5,7,3,1,2]=>[[1,2,4],[3,7],[5],[6]]=>14
[4,6,5,7,3,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>17
[4,6,7,1,2,3,5]=>[[1,2,3,7],[4,5,6]]=>9
[4,6,7,1,2,5,3]=>[[1,2,3],[4,5,6],[7]]=>15
[4,6,7,1,3,2,5]=>[[1,2,3],[4,5,7],[6]]=>14
[4,6,7,1,3,5,2]=>[[1,2,3],[4,5,6],[7]]=>15
[4,6,7,1,5,2,3]=>[[1,2,3],[4,5,7],[6]]=>14
[4,6,7,1,5,3,2]=>[[1,2,3],[4,5],[6],[7]]=>17
[4,6,7,2,1,3,5]=>[[1,2,3],[4,6,7],[5]]=>13
[4,6,7,2,1,5,3]=>[[1,2,3],[4,6],[5,7]]=>14
[4,6,7,2,3,1,5]=>[[1,2,3],[4,5,7],[6]]=>14
[4,6,7,2,3,5,1]=>[[1,2,3],[4,5,6],[7]]=>15
[4,6,7,2,5,1,3]=>[[1,2,3],[4,5],[6,7]]=>16
[4,6,7,2,5,3,1]=>[[1,2,3],[4,5],[6],[7]]=>17
[4,6,7,3,1,2,5]=>[[1,2,3],[4,6,7],[5]]=>13
[4,6,7,3,1,5,2]=>[[1,2,3],[4,6],[5,7]]=>14
[4,6,7,3,2,1,5]=>[[1,2,3],[4,7],[5],[6]]=>15
[4,6,7,3,2,5,1]=>[[1,2,3],[4,6],[5],[7]]=>16
[4,6,7,3,5,1,2]=>[[1,2,3],[4,5],[6,7]]=>16
[4,6,7,3,5,2,1]=>[[1,2,3],[4,5],[6],[7]]=>17
[4,6,7,5,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>13
[4,6,7,5,1,3,2]=>[[1,2,3],[4,6],[5],[7]]=>16
[4,6,7,5,2,1,3]=>[[1,2,3],[4,7],[5],[6]]=>15
[4,6,7,5,2,3,1]=>[[1,2,3],[4,6],[5],[7]]=>16
[4,6,7,5,3,1,2]=>[[1,2,3],[4,7],[5],[6]]=>15
[4,6,7,5,3,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>18
[4,7,1,2,3,5,6]=>[[1,2,5,6,7],[3,4]]=>4
[4,7,1,2,3,6,5]=>[[1,2,5,6],[3,4],[7]]=>10
[4,7,1,2,5,3,6]=>[[1,2,5,7],[3,4],[6]]=>9
[4,7,1,2,5,6,3]=>[[1,2,5,6],[3,4],[7]]=>10
[4,7,1,2,6,3,5]=>[[1,2,5,7],[3,4],[6]]=>9
[4,7,1,2,6,5,3]=>[[1,2,5],[3,4],[6],[7]]=>15
[4,7,1,3,2,5,6]=>[[1,2,6,7],[3,4],[5]]=>8
[4,7,1,3,2,6,5]=>[[1,2,6],[3,4],[5,7]]=>13
[4,7,1,3,5,2,6]=>[[1,2,5,7],[3,4],[6]]=>9
[4,7,1,3,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>10
[4,7,1,3,6,2,5]=>[[1,2,5],[3,4],[6,7]]=>14
[4,7,1,3,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>15
[4,7,1,5,2,3,6]=>[[1,2,6,7],[3,4],[5]]=>8
[4,7,1,5,2,6,3]=>[[1,2,6],[3,4,7],[5]]=>9
[4,7,1,5,3,2,6]=>[[1,2,7],[3,4],[5],[6]]=>13
[4,7,1,5,3,6,2]=>[[1,2,6],[3,4],[5],[7]]=>14
[4,7,1,5,6,2,3]=>[[1,2,5],[3,4,7],[6]]=>10
[4,7,1,5,6,3,2]=>[[1,2,5],[3,4],[6],[7]]=>15
[4,7,1,6,2,3,5]=>[[1,2,6,7],[3,4],[5]]=>8
[4,7,1,6,2,5,3]=>[[1,2,6],[3,4],[5],[7]]=>14
[4,7,1,6,3,2,5]=>[[1,2,7],[3,4],[5],[6]]=>13
[4,7,1,6,3,5,2]=>[[1,2,6],[3,4],[5],[7]]=>14
[4,7,1,6,5,2,3]=>[[1,2,7],[3,4],[5],[6]]=>13
[4,7,1,6,5,3,2]=>[[1,2],[3,4],[5],[6],[7]]=>19
[4,7,2,1,3,5,6]=>[[1,2,6,7],[3,5],[4]]=>7
[4,7,2,1,3,6,5]=>[[1,2,6],[3,5],[4,7]]=>11
[4,7,2,1,5,3,6]=>[[1,2,7],[3,5],[4,6]]=>10
[4,7,2,1,5,6,3]=>[[1,2,6],[3,5],[4,7]]=>11
[4,7,2,1,6,3,5]=>[[1,2,7],[3,5],[4,6]]=>10
[4,7,2,1,6,5,3]=>[[1,2],[3,5],[4,6],[7]]=>16
[4,7,2,3,1,5,6]=>[[1,2,6,7],[3,4],[5]]=>8
[4,7,2,3,1,6,5]=>[[1,2,6],[3,4],[5,7]]=>13
[4,7,2,3,5,1,6]=>[[1,2,5,7],[3,4],[6]]=>9
[4,7,2,3,5,6,1]=>[[1,2,5,6],[3,4],[7]]=>10
[4,7,2,3,6,1,5]=>[[1,2,5],[3,4],[6,7]]=>14
[4,7,2,3,6,5,1]=>[[1,2,5],[3,4],[6],[7]]=>15
[4,7,2,5,1,3,6]=>[[1,2,7],[3,4],[5,6]]=>12
[4,7,2,5,1,6,3]=>[[1,2,6],[3,4],[5,7]]=>13
[4,7,2,5,3,1,6]=>[[1,2,7],[3,4],[5],[6]]=>13
[4,7,2,5,3,6,1]=>[[1,2,6],[3,4],[5],[7]]=>14
[4,7,2,5,6,1,3]=>[[1,2,5],[3,4],[6,7]]=>14
[4,7,2,5,6,3,1]=>[[1,2,5],[3,4],[6],[7]]=>15
[4,7,2,6,1,3,5]=>[[1,2,7],[3,4],[5,6]]=>12
[4,7,2,6,1,5,3]=>[[1,2],[3,4],[5,6],[7]]=>18
[4,7,2,6,3,1,5]=>[[1,2,7],[3,4],[5],[6]]=>13
[4,7,2,6,3,5,1]=>[[1,2,6],[3,4],[5],[7]]=>14
[4,7,2,6,5,1,3]=>[[1,2],[3,4],[5,7],[6]]=>17
[4,7,2,6,5,3,1]=>[[1,2],[3,4],[5],[6],[7]]=>19
[4,7,3,1,2,5,6]=>[[1,2,6,7],[3,5],[4]]=>7
[4,7,3,1,2,6,5]=>[[1,2,6],[3,5],[4,7]]=>11
[4,7,3,1,5,2,6]=>[[1,2,7],[3,5],[4,6]]=>10
[4,7,3,1,5,6,2]=>[[1,2,6],[3,5],[4,7]]=>11
[4,7,3,1,6,2,5]=>[[1,2,7],[3,5],[4,6]]=>10
[4,7,3,1,6,5,2]=>[[1,2],[3,5],[4,6],[7]]=>16
[4,7,3,2,1,5,6]=>[[1,2,7],[3,6],[4],[5]]=>11
[4,7,3,2,1,6,5]=>[[1,2],[3,6],[4,7],[5]]=>14
[4,7,3,2,5,1,6]=>[[1,2,7],[3,5],[4],[6]]=>12
[4,7,3,2,5,6,1]=>[[1,2,6],[3,5],[4],[7]]=>13
[4,7,3,2,6,1,5]=>[[1,2],[3,5],[4,7],[6]]=>15
[4,7,3,2,6,5,1]=>[[1,2],[3,5],[4,6],[7]]=>16
[4,7,3,5,1,2,6]=>[[1,2,7],[3,4],[5,6]]=>12
[4,7,3,5,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>13
[4,7,3,5,2,1,6]=>[[1,2,7],[3,4],[5],[6]]=>13
[4,7,3,5,2,6,1]=>[[1,2,6],[3,4],[5],[7]]=>14
[4,7,3,5,6,1,2]=>[[1,2,5],[3,4],[6,7]]=>14
[4,7,3,5,6,2,1]=>[[1,2,5],[3,4],[6],[7]]=>15
[4,7,3,6,1,2,5]=>[[1,2,7],[3,4],[5,6]]=>12
[4,7,3,6,1,5,2]=>[[1,2],[3,4],[5,6],[7]]=>18
[4,7,3,6,2,1,5]=>[[1,2],[3,4],[5,7],[6]]=>17
[4,7,3,6,2,5,1]=>[[1,2],[3,4],[5,6],[7]]=>18
[4,7,3,6,5,1,2]=>[[1,2],[3,4],[5,7],[6]]=>17
[4,7,3,6,5,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>19
[4,7,5,1,2,3,6]=>[[1,2,6,7],[3,5],[4]]=>7
[4,7,5,1,2,6,3]=>[[1,2,6],[3,5,7],[4]]=>8
[4,7,5,1,3,2,6]=>[[1,2,7],[3,5],[4],[6]]=>12
[4,7,5,1,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>13
[4,7,5,1,6,2,3]=>[[1,2,5],[3,6,7],[4]]=>11
[4,7,5,1,6,3,2]=>[[1,2,5],[3,6],[4],[7]]=>14
[4,7,5,2,1,3,6]=>[[1,2,7],[3,6],[4],[5]]=>11
[4,7,5,2,1,6,3]=>[[1,2,6],[3,7],[4],[5]]=>12
[4,7,5,2,3,1,6]=>[[1,2,7],[3,5],[4],[6]]=>12
[4,7,5,2,3,6,1]=>[[1,2,6],[3,5],[4],[7]]=>13
[4,7,5,2,6,1,3]=>[[1,2,5],[3,7],[4],[6]]=>13
[4,7,5,2,6,3,1]=>[[1,2,5],[3,6],[4],[7]]=>14
[4,7,5,3,1,2,6]=>[[1,2,7],[3,6],[4],[5]]=>11
[4,7,5,3,1,6,2]=>[[1,2,6],[3,7],[4],[5]]=>12
[4,7,5,3,2,1,6]=>[[1,2,7],[3],[4],[5],[6]]=>14
[4,7,5,3,2,6,1]=>[[1,2,6],[3],[4],[5],[7]]=>15
[4,7,5,3,6,1,2]=>[[1,2,5],[3,7],[4],[6]]=>13
[4,7,5,3,6,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>16
[4,7,5,6,1,2,3]=>[[1,2,4],[3,6,7],[5]]=>12
[4,7,5,6,1,3,2]=>[[1,2,4],[3,6],[5],[7]]=>15
[4,7,5,6,2,1,3]=>[[1,2,4],[3,7],[5],[6]]=>14
[4,7,5,6,2,3,1]=>[[1,2,4],[3,6],[5],[7]]=>15
[4,7,5,6,3,1,2]=>[[1,2,4],[3,7],[5],[6]]=>14
[4,7,5,6,3,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>17
[4,7,6,1,2,3,5]=>[[1,2,6,7],[3,5],[4]]=>7
[4,7,6,1,2,5,3]=>[[1,2,6],[3,5],[4],[7]]=>13
[4,7,6,1,3,2,5]=>[[1,2,7],[3,5],[4],[6]]=>12
[4,7,6,1,3,5,2]=>[[1,2,6],[3,5],[4],[7]]=>13
[4,7,6,1,5,2,3]=>[[1,2,7],[3,5],[4],[6]]=>12
[4,7,6,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>18
[4,7,6,2,1,3,5]=>[[1,2,7],[3,6],[4],[5]]=>11
[4,7,6,2,1,5,3]=>[[1,2],[3,6],[4,7],[5]]=>14
[4,7,6,2,3,1,5]=>[[1,2,7],[3,5],[4],[6]]=>12
[4,7,6,2,3,5,1]=>[[1,2,6],[3,5],[4],[7]]=>13
[4,7,6,2,5,1,3]=>[[1,2],[3,5],[4,7],[6]]=>15
[4,7,6,2,5,3,1]=>[[1,2],[3,5],[4],[6],[7]]=>18
[4,7,6,3,1,2,5]=>[[1,2,7],[3,6],[4],[5]]=>11
[4,7,6,3,1,5,2]=>[[1,2],[3,6],[4,7],[5]]=>14
[4,7,6,3,2,1,5]=>[[1,2],[3,7],[4],[5],[6]]=>16
[4,7,6,3,2,5,1]=>[[1,2],[3,6],[4],[5],[7]]=>17
[4,7,6,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>15
[4,7,6,3,5,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>18
[4,7,6,5,1,2,3]=>[[1,2,7],[3,6],[4],[5]]=>11
[4,7,6,5,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>17
[4,7,6,5,2,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>16
[4,7,6,5,2,3,1]=>[[1,2],[3,6],[4],[5],[7]]=>17
[4,7,6,5,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>16
[4,7,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>20
[5,1,2,3,4,6,7]=>[[1,3,4,5,6,7],[2]]=>1
[5,1,2,3,4,7,6]=>[[1,3,4,5,6],[2,7]]=>5
[5,1,2,3,6,4,7]=>[[1,3,4,5,7],[2,6]]=>4
[5,1,2,3,6,7,4]=>[[1,3,4,5,6],[2,7]]=>5
[5,1,2,3,7,4,6]=>[[1,3,4,5,7],[2,6]]=>4
[5,1,2,3,7,6,4]=>[[1,3,4,5],[2,6],[7]]=>10
[5,1,2,4,3,6,7]=>[[1,3,4,6,7],[2],[5]]=>5
[5,1,2,4,3,7,6]=>[[1,3,4,6],[2,7],[5]]=>8
[5,1,2,4,6,3,7]=>[[1,3,4,5,7],[2],[6]]=>6
[5,1,2,4,6,7,3]=>[[1,3,4,5,6],[2],[7]]=>7
[5,1,2,4,7,3,6]=>[[1,3,4,5],[2,7],[6]]=>9
[5,1,2,4,7,6,3]=>[[1,3,4,5],[2,6],[7]]=>10
[5,1,2,6,3,4,7]=>[[1,3,4,6,7],[2,5]]=>3
[5,1,2,6,3,7,4]=>[[1,3,4,6],[2,5,7]]=>6
[5,1,2,6,4,3,7]=>[[1,3,4,7],[2,5],[6]]=>8
[5,1,2,6,4,7,3]=>[[1,3,4,6],[2,5],[7]]=>9
[5,1,2,6,7,3,4]=>[[1,3,4,5],[2,6,7]]=>7
[5,1,2,6,7,4,3]=>[[1,3,4,5],[2,6],[7]]=>10
[5,1,2,7,3,4,6]=>[[1,3,4,6,7],[2,5]]=>3
[5,1,2,7,3,6,4]=>[[1,3,4,6],[2,5],[7]]=>9
[5,1,2,7,4,3,6]=>[[1,3,4,7],[2,5],[6]]=>8
[5,1,2,7,4,6,3]=>[[1,3,4,6],[2,5],[7]]=>9
[5,1,2,7,6,3,4]=>[[1,3,4,7],[2,5],[6]]=>8
[5,1,2,7,6,4,3]=>[[1,3,4],[2,5],[6],[7]]=>14
[5,1,3,2,4,6,7]=>[[1,3,5,6,7],[2],[4]]=>4
[5,1,3,2,4,7,6]=>[[1,3,5,6],[2,7],[4]]=>7
[5,1,3,2,6,4,7]=>[[1,3,5,7],[2,6],[4]]=>6
[5,1,3,2,6,7,4]=>[[1,3,5,6],[2,7],[4]]=>7
[5,1,3,2,7,4,6]=>[[1,3,5,7],[2,6],[4]]=>6
[5,1,3,2,7,6,4]=>[[1,3,5],[2,6],[4,7]]=>9
[5,1,3,4,2,6,7]=>[[1,3,4,6,7],[2],[5]]=>5
[5,1,3,4,2,7,6]=>[[1,3,4,6],[2,7],[5]]=>8
[5,1,3,4,6,2,7]=>[[1,3,4,5,7],[2],[6]]=>6
[5,1,3,4,6,7,2]=>[[1,3,4,5,6],[2],[7]]=>7
[5,1,3,4,7,2,6]=>[[1,3,4,5],[2,7],[6]]=>9
[5,1,3,4,7,6,2]=>[[1,3,4,5],[2,6],[7]]=>10
[5,1,3,6,2,4,7]=>[[1,3,4,7],[2,6],[5]]=>7
[5,1,3,6,2,7,4]=>[[1,3,4,6],[2,7],[5]]=>8
[5,1,3,6,4,2,7]=>[[1,3,4,7],[2,5],[6]]=>8
[5,1,3,6,4,7,2]=>[[1,3,4,6],[2,5],[7]]=>9
[5,1,3,6,7,2,4]=>[[1,3,4,5],[2,7],[6]]=>9
[5,1,3,6,7,4,2]=>[[1,3,4,5],[2,6],[7]]=>10
[5,1,3,7,2,4,6]=>[[1,3,4,7],[2,6],[5]]=>7
[5,1,3,7,2,6,4]=>[[1,3,4],[2,6],[5,7]]=>10
[5,1,3,7,4,2,6]=>[[1,3,4,7],[2,5],[6]]=>8
[5,1,3,7,4,6,2]=>[[1,3,4,6],[2,5],[7]]=>9
[5,1,3,7,6,2,4]=>[[1,3,4],[2,5],[6,7]]=>13
[5,1,3,7,6,4,2]=>[[1,3,4],[2,5],[6],[7]]=>14
[5,1,4,2,3,6,7]=>[[1,3,5,6,7],[2],[4]]=>4
[5,1,4,2,3,7,6]=>[[1,3,5,6],[2,7],[4]]=>7
[5,1,4,2,6,3,7]=>[[1,3,5,7],[2,6],[4]]=>6
[5,1,4,2,6,7,3]=>[[1,3,5,6],[2,7],[4]]=>7
[5,1,4,2,7,3,6]=>[[1,3,5,7],[2,6],[4]]=>6
[5,1,4,2,7,6,3]=>[[1,3,5],[2,6],[4,7]]=>9
[5,1,4,3,2,6,7]=>[[1,3,6,7],[2],[4],[5]]=>8
[5,1,4,3,2,7,6]=>[[1,3,6],[2,7],[4],[5]]=>10
[5,1,4,3,6,2,7]=>[[1,3,5,7],[2],[4],[6]]=>9
[5,1,4,3,6,7,2]=>[[1,3,5,6],[2],[4],[7]]=>10
[5,1,4,3,7,2,6]=>[[1,3,5],[2,7],[4],[6]]=>11
[5,1,4,3,7,6,2]=>[[1,3,5],[2,6],[4],[7]]=>12
[5,1,4,6,2,3,7]=>[[1,3,4,7],[2,6],[5]]=>7
[5,1,4,6,2,7,3]=>[[1,3,4,6],[2,7],[5]]=>8
[5,1,4,6,3,2,7]=>[[1,3,4,7],[2],[5],[6]]=>10
[5,1,4,6,3,7,2]=>[[1,3,4,6],[2],[5],[7]]=>11
[5,1,4,6,7,2,3]=>[[1,3,4,5],[2,7],[6]]=>9
[5,1,4,6,7,3,2]=>[[1,3,4,5],[2],[6],[7]]=>12
[5,1,4,7,2,3,6]=>[[1,3,4,7],[2,6],[5]]=>7
[5,1,4,7,2,6,3]=>[[1,3,4],[2,6],[5,7]]=>10
[5,1,4,7,3,2,6]=>[[1,3,4],[2,7],[5],[6]]=>12
[5,1,4,7,3,6,2]=>[[1,3,4],[2,6],[5],[7]]=>13
[5,1,4,7,6,2,3]=>[[1,3,4],[2,5],[6,7]]=>13
[5,1,4,7,6,3,2]=>[[1,3,4],[2,5],[6],[7]]=>14
[5,1,6,2,3,4,7]=>[[1,3,5,6,7],[2,4]]=>2
[5,1,6,2,3,7,4]=>[[1,3,5,6],[2,4,7]]=>4
[5,1,6,2,4,3,7]=>[[1,3,5,7],[2,4],[6]]=>7
[5,1,6,2,4,7,3]=>[[1,3,5,6],[2,4],[7]]=>8
[5,1,6,2,7,3,4]=>[[1,3,5,7],[2,4,6]]=>3
[5,1,6,2,7,4,3]=>[[1,3,5],[2,4,6],[7]]=>9
[5,1,6,3,2,4,7]=>[[1,3,6,7],[2,4],[5]]=>6
[5,1,6,3,2,7,4]=>[[1,3,6],[2,4,7],[5]]=>7
[5,1,6,3,4,2,7]=>[[1,3,5,7],[2,4],[6]]=>7
[5,1,6,3,4,7,2]=>[[1,3,5,6],[2,4],[7]]=>8
[5,1,6,3,7,2,4]=>[[1,3,5],[2,4,7],[6]]=>8
[5,1,6,3,7,4,2]=>[[1,3,5],[2,4,6],[7]]=>9
[5,1,6,4,2,3,7]=>[[1,3,6,7],[2,4],[5]]=>6
[5,1,6,4,2,7,3]=>[[1,3,6],[2,4,7],[5]]=>7
[5,1,6,4,3,2,7]=>[[1,3,7],[2,4],[5],[6]]=>11
[5,1,6,4,3,7,2]=>[[1,3,6],[2,4],[5],[7]]=>12
[5,1,6,4,7,2,3]=>[[1,3,5],[2,4,7],[6]]=>8
[5,1,6,4,7,3,2]=>[[1,3,5],[2,4],[6],[7]]=>13
[5,1,6,7,2,3,4]=>[[1,3,4,7],[2,5,6]]=>5
[5,1,6,7,2,4,3]=>[[1,3,4],[2,5,6],[7]]=>11
[5,1,6,7,3,2,4]=>[[1,3,4],[2,5,7],[6]]=>10
[5,1,6,7,3,4,2]=>[[1,3,4],[2,5,6],[7]]=>11
[5,1,6,7,4,2,3]=>[[1,3,4],[2,5,7],[6]]=>10
[5,1,6,7,4,3,2]=>[[1,3,4],[2,5],[6],[7]]=>14
[5,1,7,2,3,4,6]=>[[1,3,5,6,7],[2,4]]=>2
[5,1,7,2,3,6,4]=>[[1,3,5,6],[2,4],[7]]=>8
[5,1,7,2,4,3,6]=>[[1,3,5,7],[2,4],[6]]=>7
[5,1,7,2,4,6,3]=>[[1,3,5,6],[2,4],[7]]=>8
[5,1,7,2,6,3,4]=>[[1,3,5,7],[2,4],[6]]=>7
[5,1,7,2,6,4,3]=>[[1,3,5],[2,4],[6],[7]]=>13
[5,1,7,3,2,4,6]=>[[1,3,6,7],[2,4],[5]]=>6
[5,1,7,3,2,6,4]=>[[1,3,6],[2,4],[5,7]]=>11
[5,1,7,3,4,2,6]=>[[1,3,5,7],[2,4],[6]]=>7
[5,1,7,3,4,6,2]=>[[1,3,5,6],[2,4],[7]]=>8
[5,1,7,3,6,2,4]=>[[1,3,5],[2,4],[6,7]]=>12
[5,1,7,3,6,4,2]=>[[1,3,5],[2,4],[6],[7]]=>13
[5,1,7,4,2,3,6]=>[[1,3,6,7],[2,4],[5]]=>6
[5,1,7,4,2,6,3]=>[[1,3,6],[2,4],[5,7]]=>11
[5,1,7,4,3,2,6]=>[[1,3,7],[2,4],[5],[6]]=>11
[5,1,7,4,3,6,2]=>[[1,3,6],[2,4],[5],[7]]=>12
[5,1,7,4,6,2,3]=>[[1,3,5],[2,4],[6,7]]=>12
[5,1,7,4,6,3,2]=>[[1,3,5],[2,4],[6],[7]]=>13
[5,1,7,6,2,3,4]=>[[1,3,6,7],[2,4],[5]]=>6
[5,1,7,6,2,4,3]=>[[1,3,6],[2,4],[5],[7]]=>12
[5,1,7,6,3,2,4]=>[[1,3,7],[2,4],[5],[6]]=>11
[5,1,7,6,3,4,2]=>[[1,3,6],[2,4],[5],[7]]=>12
[5,1,7,6,4,2,3]=>[[1,3,7],[2,4],[5],[6]]=>11
[5,1,7,6,4,3,2]=>[[1,3],[2,4],[5],[6],[7]]=>17
[5,2,1,3,4,6,7]=>[[1,4,5,6,7],[2],[3]]=>3
[5,2,1,3,4,7,6]=>[[1,4,5,6],[2,7],[3]]=>6
[5,2,1,3,6,4,7]=>[[1,4,5,7],[2,6],[3]]=>5
[5,2,1,3,6,7,4]=>[[1,4,5,6],[2,7],[3]]=>6
[5,2,1,3,7,4,6]=>[[1,4,5,7],[2,6],[3]]=>5
[5,2,1,3,7,6,4]=>[[1,4,5],[2,6],[3,7]]=>8
[5,2,1,4,3,6,7]=>[[1,4,6,7],[2,5],[3]]=>4
[5,2,1,4,3,7,6]=>[[1,4,6],[2,5,7],[3]]=>5
[5,2,1,4,6,3,7]=>[[1,4,5,7],[2,6],[3]]=>5
[5,2,1,4,6,7,3]=>[[1,4,5,6],[2,7],[3]]=>6
[5,2,1,4,7,3,6]=>[[1,4,5],[2,6,7],[3]]=>7
[5,2,1,4,7,6,3]=>[[1,4,5],[2,6],[3,7]]=>8
[5,2,1,6,3,4,7]=>[[1,4,6,7],[2,5],[3]]=>4
[5,2,1,6,3,7,4]=>[[1,4,6],[2,5,7],[3]]=>5
[5,2,1,6,4,3,7]=>[[1,4,7],[2,5],[3,6]]=>6
[5,2,1,6,4,7,3]=>[[1,4,6],[2,5],[3,7]]=>7
[5,2,1,6,7,3,4]=>[[1,4,5],[2,6,7],[3]]=>7
[5,2,1,6,7,4,3]=>[[1,4,5],[2,6],[3,7]]=>8
[5,2,1,7,3,4,6]=>[[1,4,6,7],[2,5],[3]]=>4
[5,2,1,7,3,6,4]=>[[1,4,6],[2,5],[3,7]]=>7
[5,2,1,7,4,3,6]=>[[1,4,7],[2,5],[3,6]]=>6
[5,2,1,7,4,6,3]=>[[1,4,6],[2,5],[3,7]]=>7
[5,2,1,7,6,3,4]=>[[1,4,7],[2,5],[3,6]]=>6
[5,2,1,7,6,4,3]=>[[1,4],[2,5],[3,6],[7]]=>12
[5,2,3,1,4,6,7]=>[[1,3,5,6,7],[2],[4]]=>4
[5,2,3,1,4,7,6]=>[[1,3,5,6],[2,7],[4]]=>7
[5,2,3,1,6,4,7]=>[[1,3,5,7],[2,6],[4]]=>6
[5,2,3,1,6,7,4]=>[[1,3,5,6],[2,7],[4]]=>7
[5,2,3,1,7,4,6]=>[[1,3,5,7],[2,6],[4]]=>6
[5,2,3,1,7,6,4]=>[[1,3,5],[2,6],[4,7]]=>9
[5,2,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>5
[5,2,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>8
[5,2,3,4,6,1,7]=>[[1,3,4,5,7],[2],[6]]=>6
[5,2,3,4,6,7,1]=>[[1,3,4,5,6],[2],[7]]=>7
[5,2,3,4,7,1,6]=>[[1,3,4,5],[2,7],[6]]=>9
[5,2,3,4,7,6,1]=>[[1,3,4,5],[2,6],[7]]=>10
[5,2,3,6,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>7
[5,2,3,6,1,7,4]=>[[1,3,4,6],[2,7],[5]]=>8
[5,2,3,6,4,1,7]=>[[1,3,4,7],[2,5],[6]]=>8
[5,2,3,6,4,7,1]=>[[1,3,4,6],[2,5],[7]]=>9
[5,2,3,6,7,1,4]=>[[1,3,4,5],[2,7],[6]]=>9
[5,2,3,6,7,4,1]=>[[1,3,4,5],[2,6],[7]]=>10
[5,2,3,7,1,4,6]=>[[1,3,4,7],[2,6],[5]]=>7
[5,2,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>10
[5,2,3,7,4,1,6]=>[[1,3,4,7],[2,5],[6]]=>8
[5,2,3,7,4,6,1]=>[[1,3,4,6],[2,5],[7]]=>9
[5,2,3,7,6,1,4]=>[[1,3,4],[2,5],[6,7]]=>13
[5,2,3,7,6,4,1]=>[[1,3,4],[2,5],[6],[7]]=>14
[5,2,4,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>5
[5,2,4,1,3,7,6]=>[[1,3,6],[2,5,7],[4]]=>6
[5,2,4,1,6,3,7]=>[[1,3,5,7],[2,6],[4]]=>6
[5,2,4,1,6,7,3]=>[[1,3,5,6],[2,7],[4]]=>7
[5,2,4,1,7,3,6]=>[[1,3,5],[2,6,7],[4]]=>8
[5,2,4,1,7,6,3]=>[[1,3,5],[2,6],[4,7]]=>9
[5,2,4,3,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>8
[5,2,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>10
[5,2,4,3,6,1,7]=>[[1,3,5,7],[2],[4],[6]]=>9
[5,2,4,3,6,7,1]=>[[1,3,5,6],[2],[4],[7]]=>10
[5,2,4,3,7,1,6]=>[[1,3,5],[2,7],[4],[6]]=>11
[5,2,4,3,7,6,1]=>[[1,3,5],[2,6],[4],[7]]=>12
[5,2,4,6,1,3,7]=>[[1,3,4,7],[2,6],[5]]=>7
[5,2,4,6,1,7,3]=>[[1,3,4,6],[2,7],[5]]=>8
[5,2,4,6,3,1,7]=>[[1,3,4,7],[2],[5],[6]]=>10
[5,2,4,6,3,7,1]=>[[1,3,4,6],[2],[5],[7]]=>11
[5,2,4,6,7,1,3]=>[[1,3,4,5],[2,7],[6]]=>9
[5,2,4,6,7,3,1]=>[[1,3,4,5],[2],[6],[7]]=>12
[5,2,4,7,1,3,6]=>[[1,3,4],[2,6,7],[5]]=>9
[5,2,4,7,1,6,3]=>[[1,3,4],[2,6],[5,7]]=>10
[5,2,4,7,3,1,6]=>[[1,3,4],[2,7],[5],[6]]=>12
[5,2,4,7,3,6,1]=>[[1,3,4],[2,6],[5],[7]]=>13
[5,2,4,7,6,1,3]=>[[1,3,4],[2,5],[6,7]]=>13
[5,2,4,7,6,3,1]=>[[1,3,4],[2,5],[6],[7]]=>14
[5,2,6,1,3,4,7]=>[[1,3,6,7],[2,5],[4]]=>5
[5,2,6,1,3,7,4]=>[[1,3,6],[2,5,7],[4]]=>6
[5,2,6,1,4,3,7]=>[[1,3,7],[2,5],[4,6]]=>7
[5,2,6,1,4,7,3]=>[[1,3,6],[2,5],[4,7]]=>8
[5,2,6,1,7,3,4]=>[[1,3,5],[2,6,7],[4]]=>8
[5,2,6,1,7,4,3]=>[[1,3,5],[2,6],[4,7]]=>9
[5,2,6,3,1,4,7]=>[[1,3,6,7],[2,4],[5]]=>6
[5,2,6,3,1,7,4]=>[[1,3,6],[2,4,7],[5]]=>7
[5,2,6,3,4,1,7]=>[[1,3,5,7],[2,4],[6]]=>7
[5,2,6,3,4,7,1]=>[[1,3,5,6],[2,4],[7]]=>8
[5,2,6,3,7,1,4]=>[[1,3,5],[2,4,7],[6]]=>8
[5,2,6,3,7,4,1]=>[[1,3,5],[2,4,6],[7]]=>9
[5,2,6,4,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>10
[5,2,6,4,1,7,3]=>[[1,3,6],[2,4],[5,7]]=>11
[5,2,6,4,3,1,7]=>[[1,3,7],[2,4],[5],[6]]=>11
[5,2,6,4,3,7,1]=>[[1,3,6],[2,4],[5],[7]]=>12
[5,2,6,4,7,1,3]=>[[1,3,5],[2,4],[6,7]]=>12
[5,2,6,4,7,3,1]=>[[1,3,5],[2,4],[6],[7]]=>13
[5,2,6,7,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>9
[5,2,6,7,1,4,3]=>[[1,3,4],[2,6],[5,7]]=>10
[5,2,6,7,3,1,4]=>[[1,3,4],[2,5,7],[6]]=>10
[5,2,6,7,3,4,1]=>[[1,3,4],[2,5,6],[7]]=>11
[5,2,6,7,4,1,3]=>[[1,3,4],[2,5],[6,7]]=>13
[5,2,6,7,4,3,1]=>[[1,3,4],[2,5],[6],[7]]=>14
[5,2,7,1,3,4,6]=>[[1,3,6,7],[2,5],[4]]=>5
[5,2,7,1,3,6,4]=>[[1,3,6],[2,5],[4,7]]=>8
[5,2,7,1,4,3,6]=>[[1,3,7],[2,5],[4,6]]=>7
[5,2,7,1,4,6,3]=>[[1,3,6],[2,5],[4,7]]=>8
[5,2,7,1,6,3,4]=>[[1,3,7],[2,5],[4,6]]=>7
[5,2,7,1,6,4,3]=>[[1,3],[2,5],[4,6],[7]]=>13
[5,2,7,3,1,4,6]=>[[1,3,6,7],[2,4],[5]]=>6
[5,2,7,3,1,6,4]=>[[1,3,6],[2,4],[5,7]]=>11
[5,2,7,3,4,1,6]=>[[1,3,5,7],[2,4],[6]]=>7
[5,2,7,3,4,6,1]=>[[1,3,5,6],[2,4],[7]]=>8
[5,2,7,3,6,1,4]=>[[1,3,5],[2,4],[6,7]]=>12
[5,2,7,3,6,4,1]=>[[1,3,5],[2,4],[6],[7]]=>13
[5,2,7,4,1,3,6]=>[[1,3,7],[2,4],[5,6]]=>10
[5,2,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>11
[5,2,7,4,3,1,6]=>[[1,3,7],[2,4],[5],[6]]=>11
[5,2,7,4,3,6,1]=>[[1,3,6],[2,4],[5],[7]]=>12
[5,2,7,4,6,1,3]=>[[1,3,5],[2,4],[6,7]]=>12
[5,2,7,4,6,3,1]=>[[1,3,5],[2,4],[6],[7]]=>13
[5,2,7,6,1,3,4]=>[[1,3,7],[2,4],[5,6]]=>10
[5,2,7,6,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>16
[5,2,7,6,3,1,4]=>[[1,3,7],[2,4],[5],[6]]=>11
[5,2,7,6,3,4,1]=>[[1,3,6],[2,4],[5],[7]]=>12
[5,2,7,6,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>15
[5,2,7,6,4,3,1]=>[[1,3],[2,4],[5],[6],[7]]=>17
[5,3,1,2,4,6,7]=>[[1,4,5,6,7],[2],[3]]=>3
[5,3,1,2,4,7,6]=>[[1,4,5,6],[2,7],[3]]=>6
[5,3,1,2,6,4,7]=>[[1,4,5,7],[2,6],[3]]=>5
[5,3,1,2,6,7,4]=>[[1,4,5,6],[2,7],[3]]=>6
[5,3,1,2,7,4,6]=>[[1,4,5,7],[2,6],[3]]=>5
[5,3,1,2,7,6,4]=>[[1,4,5],[2,6],[3,7]]=>8
[5,3,1,4,2,6,7]=>[[1,4,6,7],[2,5],[3]]=>4
[5,3,1,4,2,7,6]=>[[1,4,6],[2,5,7],[3]]=>5
[5,3,1,4,6,2,7]=>[[1,4,5,7],[2,6],[3]]=>5
[5,3,1,4,6,7,2]=>[[1,4,5,6],[2,7],[3]]=>6
[5,3,1,4,7,2,6]=>[[1,4,5],[2,6,7],[3]]=>7
[5,3,1,4,7,6,2]=>[[1,4,5],[2,6],[3,7]]=>8
[5,3,1,6,2,4,7]=>[[1,4,6,7],[2,5],[3]]=>4
[5,3,1,6,2,7,4]=>[[1,4,6],[2,5,7],[3]]=>5
[5,3,1,6,4,2,7]=>[[1,4,7],[2,5],[3,6]]=>6
[5,3,1,6,4,7,2]=>[[1,4,6],[2,5],[3,7]]=>7
[5,3,1,6,7,2,4]=>[[1,4,5],[2,6,7],[3]]=>7
[5,3,1,6,7,4,2]=>[[1,4,5],[2,6],[3,7]]=>8
[5,3,1,7,2,4,6]=>[[1,4,6,7],[2,5],[3]]=>4
[5,3,1,7,2,6,4]=>[[1,4,6],[2,5],[3,7]]=>7
[5,3,1,7,4,2,6]=>[[1,4,7],[2,5],[3,6]]=>6
[5,3,1,7,4,6,2]=>[[1,4,6],[2,5],[3,7]]=>7
[5,3,1,7,6,2,4]=>[[1,4,7],[2,5],[3,6]]=>6
[5,3,1,7,6,4,2]=>[[1,4],[2,5],[3,6],[7]]=>12
[5,3,2,1,4,6,7]=>[[1,5,6,7],[2],[3],[4]]=>6
[5,3,2,1,4,7,6]=>[[1,5,6],[2,7],[3],[4]]=>8
[5,3,2,1,6,4,7]=>[[1,5,7],[2,6],[3],[4]]=>7
[5,3,2,1,6,7,4]=>[[1,5,6],[2,7],[3],[4]]=>8
[5,3,2,1,7,4,6]=>[[1,5,7],[2,6],[3],[4]]=>7
[5,3,2,1,7,6,4]=>[[1,5],[2,6],[3,7],[4]]=>9
[5,3,2,4,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>7
[5,3,2,4,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>9
[5,3,2,4,6,1,7]=>[[1,4,5,7],[2],[3],[6]]=>8
[5,3,2,4,6,7,1]=>[[1,4,5,6],[2],[3],[7]]=>9
[5,3,2,4,7,1,6]=>[[1,4,5],[2,7],[3],[6]]=>10
[5,3,2,4,7,6,1]=>[[1,4,5],[2,6],[3],[7]]=>11
[5,3,2,6,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>8
[5,3,2,6,1,7,4]=>[[1,4,6],[2,7],[3],[5]]=>9
[5,3,2,6,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>9
[5,3,2,6,4,7,1]=>[[1,4,6],[2,5],[3],[7]]=>10
[5,3,2,6,7,1,4]=>[[1,4,5],[2,7],[3],[6]]=>10
[5,3,2,6,7,4,1]=>[[1,4,5],[2,6],[3],[7]]=>11
[5,3,2,7,1,4,6]=>[[1,4,7],[2,6],[3],[5]]=>8
[5,3,2,7,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>10
[5,3,2,7,4,1,6]=>[[1,4,7],[2,5],[3],[6]]=>9
[5,3,2,7,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>10
[5,3,2,7,6,1,4]=>[[1,4],[2,5],[3,7],[6]]=>11
[5,3,2,7,6,4,1]=>[[1,4],[2,5],[3,6],[7]]=>12
[5,3,4,1,2,6,7]=>[[1,3,6,7],[2,5],[4]]=>5
[5,3,4,1,2,7,6]=>[[1,3,6],[2,5,7],[4]]=>6
[5,3,4,1,6,2,7]=>[[1,3,5,7],[2,6],[4]]=>6
[5,3,4,1,6,7,2]=>[[1,3,5,6],[2,7],[4]]=>7
[5,3,4,1,7,2,6]=>[[1,3,5],[2,6,7],[4]]=>8
[5,3,4,1,7,6,2]=>[[1,3,5],[2,6],[4,7]]=>9
[5,3,4,2,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>8
[5,3,4,2,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>10
[5,3,4,2,6,1,7]=>[[1,3,5,7],[2],[4],[6]]=>9
[5,3,4,2,6,7,1]=>[[1,3,5,6],[2],[4],[7]]=>10
[5,3,4,2,7,1,6]=>[[1,3,5],[2,7],[4],[6]]=>11
[5,3,4,2,7,6,1]=>[[1,3,5],[2,6],[4],[7]]=>12
[5,3,4,6,1,2,7]=>[[1,3,4,7],[2,6],[5]]=>7
[5,3,4,6,1,7,2]=>[[1,3,4,6],[2,7],[5]]=>8
[5,3,4,6,2,1,7]=>[[1,3,4,7],[2],[5],[6]]=>10
[5,3,4,6,2,7,1]=>[[1,3,4,6],[2],[5],[7]]=>11
[5,3,4,6,7,1,2]=>[[1,3,4,5],[2,7],[6]]=>9
[5,3,4,6,7,2,1]=>[[1,3,4,5],[2],[6],[7]]=>12
[5,3,4,7,1,2,6]=>[[1,3,4],[2,6,7],[5]]=>9
[5,3,4,7,1,6,2]=>[[1,3,4],[2,6],[5,7]]=>10
[5,3,4,7,2,1,6]=>[[1,3,4],[2,7],[5],[6]]=>12
[5,3,4,7,2,6,1]=>[[1,3,4],[2,6],[5],[7]]=>13
[5,3,4,7,6,1,2]=>[[1,3,4],[2,5],[6,7]]=>13
[5,3,4,7,6,2,1]=>[[1,3,4],[2,5],[6],[7]]=>14
[5,3,6,1,2,4,7]=>[[1,3,6,7],[2,5],[4]]=>5
[5,3,6,1,2,7,4]=>[[1,3,6],[2,5,7],[4]]=>6
[5,3,6,1,4,2,7]=>[[1,3,7],[2,5],[4,6]]=>7
[5,3,6,1,4,7,2]=>[[1,3,6],[2,5],[4,7]]=>8
[5,3,6,1,7,2,4]=>[[1,3,5],[2,6,7],[4]]=>8
[5,3,6,1,7,4,2]=>[[1,3,5],[2,6],[4,7]]=>9
[5,3,6,2,1,4,7]=>[[1,3,7],[2,6],[4],[5]]=>9
[5,3,6,2,1,7,4]=>[[1,3,6],[2,7],[4],[5]]=>10
[5,3,6,2,4,1,7]=>[[1,3,7],[2,5],[4],[6]]=>10
[5,3,6,2,4,7,1]=>[[1,3,6],[2,5],[4],[7]]=>11
[5,3,6,2,7,1,4]=>[[1,3,5],[2,7],[4],[6]]=>11
[5,3,6,2,7,4,1]=>[[1,3,5],[2,6],[4],[7]]=>12
[5,3,6,4,1,2,7]=>[[1,3,7],[2,4],[5,6]]=>10
[5,3,6,4,1,7,2]=>[[1,3,6],[2,4],[5,7]]=>11
[5,3,6,4,2,1,7]=>[[1,3,7],[2,4],[5],[6]]=>11
[5,3,6,4,2,7,1]=>[[1,3,6],[2,4],[5],[7]]=>12
[5,3,6,4,7,1,2]=>[[1,3,5],[2,4],[6,7]]=>12
[5,3,6,4,7,2,1]=>[[1,3,5],[2,4],[6],[7]]=>13
[5,3,6,7,1,2,4]=>[[1,3,4],[2,6,7],[5]]=>9
[5,3,6,7,1,4,2]=>[[1,3,4],[2,6],[5,7]]=>10
[5,3,6,7,2,1,4]=>[[1,3,4],[2,7],[5],[6]]=>12
[5,3,6,7,2,4,1]=>[[1,3,4],[2,6],[5],[7]]=>13
[5,3,6,7,4,1,2]=>[[1,3,4],[2,5],[6,7]]=>13
[5,3,6,7,4,2,1]=>[[1,3,4],[2,5],[6],[7]]=>14
[5,3,7,1,2,4,6]=>[[1,3,6,7],[2,5],[4]]=>5
[5,3,7,1,2,6,4]=>[[1,3,6],[2,5],[4,7]]=>8
[5,3,7,1,4,2,6]=>[[1,3,7],[2,5],[4,6]]=>7
[5,3,7,1,4,6,2]=>[[1,3,6],[2,5],[4,7]]=>8
[5,3,7,1,6,2,4]=>[[1,3,7],[2,5],[4,6]]=>7
[5,3,7,1,6,4,2]=>[[1,3],[2,5],[4,6],[7]]=>13
[5,3,7,2,1,4,6]=>[[1,3,7],[2,6],[4],[5]]=>9
[5,3,7,2,1,6,4]=>[[1,3],[2,6],[4,7],[5]]=>11
[5,3,7,2,4,1,6]=>[[1,3,7],[2,5],[4],[6]]=>10
[5,3,7,2,4,6,1]=>[[1,3,6],[2,5],[4],[7]]=>11
[5,3,7,2,6,1,4]=>[[1,3],[2,5],[4,7],[6]]=>12
[5,3,7,2,6,4,1]=>[[1,3],[2,5],[4,6],[7]]=>13
[5,3,7,4,1,2,6]=>[[1,3,7],[2,4],[5,6]]=>10
[5,3,7,4,1,6,2]=>[[1,3,6],[2,4],[5,7]]=>11
[5,3,7,4,2,1,6]=>[[1,3,7],[2,4],[5],[6]]=>11
[5,3,7,4,2,6,1]=>[[1,3,6],[2,4],[5],[7]]=>12
[5,3,7,4,6,1,2]=>[[1,3,5],[2,4],[6,7]]=>12
[5,3,7,4,6,2,1]=>[[1,3,5],[2,4],[6],[7]]=>13
[5,3,7,6,1,2,4]=>[[1,3,7],[2,4],[5,6]]=>10
[5,3,7,6,1,4,2]=>[[1,3],[2,4],[5,6],[7]]=>16
[5,3,7,6,2,1,4]=>[[1,3],[2,4],[5,7],[6]]=>15
[5,3,7,6,2,4,1]=>[[1,3],[2,4],[5,6],[7]]=>16
[5,3,7,6,4,1,2]=>[[1,3],[2,4],[5,7],[6]]=>15
[5,3,7,6,4,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>17
[5,4,1,2,3,6,7]=>[[1,4,5,6,7],[2],[3]]=>3
[5,4,1,2,3,7,6]=>[[1,4,5,6],[2,7],[3]]=>6
[5,4,1,2,6,3,7]=>[[1,4,5,7],[2,6],[3]]=>5
[5,4,1,2,6,7,3]=>[[1,4,5,6],[2,7],[3]]=>6
[5,4,1,2,7,3,6]=>[[1,4,5,7],[2,6],[3]]=>5
[5,4,1,2,7,6,3]=>[[1,4,5],[2,6],[3,7]]=>8
[5,4,1,3,2,6,7]=>[[1,4,6,7],[2],[3],[5]]=>7
[5,4,1,3,2,7,6]=>[[1,4,6],[2,7],[3],[5]]=>9
[5,4,1,3,6,2,7]=>[[1,4,5,7],[2],[3],[6]]=>8
[5,4,1,3,6,7,2]=>[[1,4,5,6],[2],[3],[7]]=>9
[5,4,1,3,7,2,6]=>[[1,4,5],[2,7],[3],[6]]=>10
[5,4,1,3,7,6,2]=>[[1,4,5],[2,6],[3],[7]]=>11
[5,4,1,6,2,3,7]=>[[1,4,6,7],[2,5],[3]]=>4
[5,4,1,6,2,7,3]=>[[1,4,6],[2,5,7],[3]]=>5
[5,4,1,6,3,2,7]=>[[1,4,7],[2,5],[3],[6]]=>9
[5,4,1,6,3,7,2]=>[[1,4,6],[2,5],[3],[7]]=>10
[5,4,1,6,7,2,3]=>[[1,4,5],[2,6,7],[3]]=>7
[5,4,1,6,7,3,2]=>[[1,4,5],[2,6],[3],[7]]=>11
[5,4,1,7,2,3,6]=>[[1,4,6,7],[2,5],[3]]=>4
[5,4,1,7,2,6,3]=>[[1,4,6],[2,5],[3,7]]=>7
[5,4,1,7,3,2,6]=>[[1,4,7],[2,5],[3],[6]]=>9
[5,4,1,7,3,6,2]=>[[1,4,6],[2,5],[3],[7]]=>10
[5,4,1,7,6,2,3]=>[[1,4,7],[2,5],[3,6]]=>6
[5,4,1,7,6,3,2]=>[[1,4],[2,5],[3,6],[7]]=>12
[5,4,2,1,3,6,7]=>[[1,5,6,7],[2],[3],[4]]=>6
[5,4,2,1,3,7,6]=>[[1,5,6],[2,7],[3],[4]]=>8
[5,4,2,1,6,3,7]=>[[1,5,7],[2,6],[3],[4]]=>7
[5,4,2,1,6,7,3]=>[[1,5,6],[2,7],[3],[4]]=>8
[5,4,2,1,7,3,6]=>[[1,5,7],[2,6],[3],[4]]=>7
[5,4,2,1,7,6,3]=>[[1,5],[2,6],[3,7],[4]]=>9
[5,4,2,3,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>7
[5,4,2,3,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>9
[5,4,2,3,6,1,7]=>[[1,4,5,7],[2],[3],[6]]=>8
[5,4,2,3,6,7,1]=>[[1,4,5,6],[2],[3],[7]]=>9
[5,4,2,3,7,1,6]=>[[1,4,5],[2,7],[3],[6]]=>10
[5,4,2,3,7,6,1]=>[[1,4,5],[2,6],[3],[7]]=>11
[5,4,2,6,1,3,7]=>[[1,4,7],[2,6],[3],[5]]=>8
[5,4,2,6,1,7,3]=>[[1,4,6],[2,7],[3],[5]]=>9
[5,4,2,6,3,1,7]=>[[1,4,7],[2,5],[3],[6]]=>9
[5,4,2,6,3,7,1]=>[[1,4,6],[2,5],[3],[7]]=>10
[5,4,2,6,7,1,3]=>[[1,4,5],[2,7],[3],[6]]=>10
[5,4,2,6,7,3,1]=>[[1,4,5],[2,6],[3],[7]]=>11
[5,4,2,7,1,3,6]=>[[1,4,7],[2,6],[3],[5]]=>8
[5,4,2,7,1,6,3]=>[[1,4],[2,6],[3,7],[5]]=>10
[5,4,2,7,3,1,6]=>[[1,4,7],[2,5],[3],[6]]=>9
[5,4,2,7,3,6,1]=>[[1,4,6],[2,5],[3],[7]]=>10
[5,4,2,7,6,1,3]=>[[1,4],[2,5],[3,7],[6]]=>11
[5,4,2,7,6,3,1]=>[[1,4],[2,5],[3,6],[7]]=>12
[5,4,3,1,2,6,7]=>[[1,5,6,7],[2],[3],[4]]=>6
[5,4,3,1,2,7,6]=>[[1,5,6],[2,7],[3],[4]]=>8
[5,4,3,1,6,2,7]=>[[1,5,7],[2,6],[3],[4]]=>7
[5,4,3,1,6,7,2]=>[[1,5,6],[2,7],[3],[4]]=>8
[5,4,3,1,7,2,6]=>[[1,5,7],[2,6],[3],[4]]=>7
[5,4,3,1,7,6,2]=>[[1,5],[2,6],[3,7],[4]]=>9
[5,4,3,2,1,6,7]=>[[1,6,7],[2],[3],[4],[5]]=>10
[5,4,3,2,1,7,6]=>[[1,6],[2,7],[3],[4],[5]]=>11
[5,4,3,2,6,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>11
[5,4,3,2,6,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>12
[5,4,3,2,7,1,6]=>[[1,5],[2,7],[3],[4],[6]]=>12
[5,4,3,2,7,6,1]=>[[1,5],[2,6],[3],[4],[7]]=>13
[5,4,3,6,1,2,7]=>[[1,4,7],[2,6],[3],[5]]=>8
[5,4,3,6,1,7,2]=>[[1,4,6],[2,7],[3],[5]]=>9
[5,4,3,6,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>12
[5,4,3,6,2,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>13
[5,4,3,6,7,1,2]=>[[1,4,5],[2,7],[3],[6]]=>10
[5,4,3,6,7,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>14
[5,4,3,7,1,2,6]=>[[1,4,7],[2,6],[3],[5]]=>8
[5,4,3,7,1,6,2]=>[[1,4],[2,6],[3,7],[5]]=>10
[5,4,3,7,2,1,6]=>[[1,4],[2,7],[3],[5],[6]]=>13
[5,4,3,7,2,6,1]=>[[1,4],[2,6],[3],[5],[7]]=>14
[5,4,3,7,6,1,2]=>[[1,4],[2,5],[3,7],[6]]=>11
[5,4,3,7,6,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>15
[5,4,6,1,2,3,7]=>[[1,3,6,7],[2,5],[4]]=>5
[5,4,6,1,2,7,3]=>[[1,3,6],[2,5,7],[4]]=>6
[5,4,6,1,3,2,7]=>[[1,3,7],[2,5],[4],[6]]=>10
[5,4,6,1,3,7,2]=>[[1,3,6],[2,5],[4],[7]]=>11
[5,4,6,1,7,2,3]=>[[1,3,5],[2,6,7],[4]]=>8
[5,4,6,1,7,3,2]=>[[1,3,5],[2,6],[4],[7]]=>12
[5,4,6,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>9
[5,4,6,2,1,7,3]=>[[1,3,6],[2,7],[4],[5]]=>10
[5,4,6,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>10
[5,4,6,2,3,7,1]=>[[1,3,6],[2,5],[4],[7]]=>11
[5,4,6,2,7,1,3]=>[[1,3,5],[2,7],[4],[6]]=>11
[5,4,6,2,7,3,1]=>[[1,3,5],[2,6],[4],[7]]=>12
[5,4,6,3,1,2,7]=>[[1,3,7],[2,6],[4],[5]]=>9
[5,4,6,3,1,7,2]=>[[1,3,6],[2,7],[4],[5]]=>10
[5,4,6,3,2,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>13
[5,4,6,3,2,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>14
[5,4,6,3,7,1,2]=>[[1,3,5],[2,7],[4],[6]]=>11
[5,4,6,3,7,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>15
[5,4,6,7,1,2,3]=>[[1,3,4],[2,6,7],[5]]=>9
[5,4,6,7,1,3,2]=>[[1,3,4],[2,6],[5],[7]]=>13
[5,4,6,7,2,1,3]=>[[1,3,4],[2,7],[5],[6]]=>12
[5,4,6,7,2,3,1]=>[[1,3,4],[2,6],[5],[7]]=>13
[5,4,6,7,3,1,2]=>[[1,3,4],[2,7],[5],[6]]=>12
[5,4,6,7,3,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>16
[5,4,7,1,2,3,6]=>[[1,3,6,7],[2,5],[4]]=>5
[5,4,7,1,2,6,3]=>[[1,3,6],[2,5],[4,7]]=>8
[5,4,7,1,3,2,6]=>[[1,3,7],[2,5],[4],[6]]=>10
[5,4,7,1,3,6,2]=>[[1,3,6],[2,5],[4],[7]]=>11
[5,4,7,1,6,2,3]=>[[1,3,7],[2,5],[4,6]]=>7
[5,4,7,1,6,3,2]=>[[1,3],[2,5],[4,6],[7]]=>13
[5,4,7,2,1,3,6]=>[[1,3,7],[2,6],[4],[5]]=>9
[5,4,7,2,1,6,3]=>[[1,3],[2,6],[4,7],[5]]=>11
[5,4,7,2,3,1,6]=>[[1,3,7],[2,5],[4],[6]]=>10
[5,4,7,2,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>11
[5,4,7,2,6,1,3]=>[[1,3],[2,5],[4,7],[6]]=>12
[5,4,7,2,6,3,1]=>[[1,3],[2,5],[4,6],[7]]=>13
[5,4,7,3,1,2,6]=>[[1,3,7],[2,6],[4],[5]]=>9
[5,4,7,3,1,6,2]=>[[1,3],[2,6],[4,7],[5]]=>11
[5,4,7,3,2,1,6]=>[[1,3],[2,7],[4],[5],[6]]=>14
[5,4,7,3,2,6,1]=>[[1,3],[2,6],[4],[5],[7]]=>15
[5,4,7,3,6,1,2]=>[[1,3],[2,5],[4,7],[6]]=>12
[5,4,7,3,6,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>16
[5,4,7,6,1,2,3]=>[[1,3,7],[2,4],[5,6]]=>10
[5,4,7,6,1,3,2]=>[[1,3],[2,4],[5,6],[7]]=>16
[5,4,7,6,2,1,3]=>[[1,3],[2,4],[5,7],[6]]=>15
[5,4,7,6,2,3,1]=>[[1,3],[2,4],[5,6],[7]]=>16
[5,4,7,6,3,1,2]=>[[1,3],[2,4],[5,7],[6]]=>15
[5,4,7,6,3,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>17
[5,6,1,2,3,4,7]=>[[1,2,5,6,7],[3,4]]=>4
[5,6,1,2,3,7,4]=>[[1,2,5,6],[3,4,7]]=>6
[5,6,1,2,4,3,7]=>[[1,2,5,7],[3,4],[6]]=>9
[5,6,1,2,4,7,3]=>[[1,2,5,6],[3,4],[7]]=>10
[5,6,1,2,7,3,4]=>[[1,2,5,7],[3,4,6]]=>5
[5,6,1,2,7,4,3]=>[[1,2,5],[3,4,6],[7]]=>11
[5,6,1,3,2,4,7]=>[[1,2,6,7],[3,4],[5]]=>8
[5,6,1,3,2,7,4]=>[[1,2,6],[3,4,7],[5]]=>9
[5,6,1,3,4,2,7]=>[[1,2,5,7],[3,4],[6]]=>9
[5,6,1,3,4,7,2]=>[[1,2,5,6],[3,4],[7]]=>10
[5,6,1,3,7,2,4]=>[[1,2,5],[3,4,7],[6]]=>10
[5,6,1,3,7,4,2]=>[[1,2,5],[3,4,6],[7]]=>11
[5,6,1,4,2,3,7]=>[[1,2,6,7],[3,4],[5]]=>8
[5,6,1,4,2,7,3]=>[[1,2,6],[3,4,7],[5]]=>9
[5,6,1,4,3,2,7]=>[[1,2,7],[3,4],[5],[6]]=>13
[5,6,1,4,3,7,2]=>[[1,2,6],[3,4],[5],[7]]=>14
[5,6,1,4,7,2,3]=>[[1,2,5],[3,4,7],[6]]=>10
[5,6,1,4,7,3,2]=>[[1,2,5],[3,4],[6],[7]]=>15
[5,6,1,7,2,3,4]=>[[1,2,4,7],[3,5,6]]=>8
[5,6,1,7,2,4,3]=>[[1,2,4],[3,5,6],[7]]=>14
[5,6,1,7,3,2,4]=>[[1,2,4],[3,5,7],[6]]=>13
[5,6,1,7,3,4,2]=>[[1,2,4],[3,5,6],[7]]=>14
[5,6,1,7,4,2,3]=>[[1,2,4],[3,5,7],[6]]=>13
[5,6,1,7,4,3,2]=>[[1,2,4],[3,5],[6],[7]]=>16
[5,6,2,1,3,4,7]=>[[1,2,6,7],[3,5],[4]]=>7
[5,6,2,1,3,7,4]=>[[1,2,6],[3,5,7],[4]]=>8
[5,6,2,1,4,3,7]=>[[1,2,7],[3,5],[4,6]]=>10
[5,6,2,1,4,7,3]=>[[1,2,6],[3,5],[4,7]]=>11
[5,6,2,1,7,3,4]=>[[1,2,5],[3,6,7],[4]]=>11
[5,6,2,1,7,4,3]=>[[1,2,5],[3,6],[4,7]]=>12
[5,6,2,3,1,4,7]=>[[1,2,6,7],[3,4],[5]]=>8
[5,6,2,3,1,7,4]=>[[1,2,6],[3,4,7],[5]]=>9
[5,6,2,3,4,1,7]=>[[1,2,5,7],[3,4],[6]]=>9
[5,6,2,3,4,7,1]=>[[1,2,5,6],[3,4],[7]]=>10
[5,6,2,3,7,1,4]=>[[1,2,5],[3,4,7],[6]]=>10
[5,6,2,3,7,4,1]=>[[1,2,5],[3,4,6],[7]]=>11
[5,6,2,4,1,3,7]=>[[1,2,7],[3,4],[5,6]]=>12
[5,6,2,4,1,7,3]=>[[1,2,6],[3,4],[5,7]]=>13
[5,6,2,4,3,1,7]=>[[1,2,7],[3,4],[5],[6]]=>13
[5,6,2,4,3,7,1]=>[[1,2,6],[3,4],[5],[7]]=>14
[5,6,2,4,7,1,3]=>[[1,2,5],[3,4],[6,7]]=>14
[5,6,2,4,7,3,1]=>[[1,2,5],[3,4],[6],[7]]=>15
[5,6,2,7,1,3,4]=>[[1,2,4],[3,6,7],[5]]=>12
[5,6,2,7,1,4,3]=>[[1,2,4],[3,6],[5,7]]=>13
[5,6,2,7,3,1,4]=>[[1,2,4],[3,5,7],[6]]=>13
[5,6,2,7,3,4,1]=>[[1,2,4],[3,5,6],[7]]=>14
[5,6,2,7,4,1,3]=>[[1,2,4],[3,5],[6,7]]=>15
[5,6,2,7,4,3,1]=>[[1,2,4],[3,5],[6],[7]]=>16
[5,6,3,1,2,4,7]=>[[1,2,6,7],[3,5],[4]]=>7
[5,6,3,1,2,7,4]=>[[1,2,6],[3,5,7],[4]]=>8
[5,6,3,1,4,2,7]=>[[1,2,7],[3,5],[4,6]]=>10
[5,6,3,1,4,7,2]=>[[1,2,6],[3,5],[4,7]]=>11
[5,6,3,1,7,2,4]=>[[1,2,5],[3,6,7],[4]]=>11
[5,6,3,1,7,4,2]=>[[1,2,5],[3,6],[4,7]]=>12
[5,6,3,2,1,4,7]=>[[1,2,7],[3,6],[4],[5]]=>11
[5,6,3,2,1,7,4]=>[[1,2,6],[3,7],[4],[5]]=>12
[5,6,3,2,4,1,7]=>[[1,2,7],[3,5],[4],[6]]=>12
[5,6,3,2,4,7,1]=>[[1,2,6],[3,5],[4],[7]]=>13
[5,6,3,2,7,1,4]=>[[1,2,5],[3,7],[4],[6]]=>13
[5,6,3,2,7,4,1]=>[[1,2,5],[3,6],[4],[7]]=>14
[5,6,3,4,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>12
[5,6,3,4,1,7,2]=>[[1,2,6],[3,4],[5,7]]=>13
[5,6,3,4,2,1,7]=>[[1,2,7],[3,4],[5],[6]]=>13
[5,6,3,4,2,7,1]=>[[1,2,6],[3,4],[5],[7]]=>14
[5,6,3,4,7,1,2]=>[[1,2,5],[3,4],[6,7]]=>14
[5,6,3,4,7,2,1]=>[[1,2,5],[3,4],[6],[7]]=>15
[5,6,3,7,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>12
[5,6,3,7,1,4,2]=>[[1,2,4],[3,6],[5,7]]=>13
[5,6,3,7,2,1,4]=>[[1,2,4],[3,7],[5],[6]]=>14
[5,6,3,7,2,4,1]=>[[1,2,4],[3,6],[5],[7]]=>15
[5,6,3,7,4,1,2]=>[[1,2,4],[3,5],[6,7]]=>15
[5,6,3,7,4,2,1]=>[[1,2,4],[3,5],[6],[7]]=>16
[5,6,4,1,2,3,7]=>[[1,2,6,7],[3,5],[4]]=>7
[5,6,4,1,2,7,3]=>[[1,2,6],[3,5,7],[4]]=>8
[5,6,4,1,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>12
[5,6,4,1,3,7,2]=>[[1,2,6],[3,5],[4],[7]]=>13
[5,6,4,1,7,2,3]=>[[1,2,5],[3,6,7],[4]]=>11
[5,6,4,1,7,3,2]=>[[1,2,5],[3,6],[4],[7]]=>14
[5,6,4,2,1,3,7]=>[[1,2,7],[3,6],[4],[5]]=>11
[5,6,4,2,1,7,3]=>[[1,2,6],[3,7],[4],[5]]=>12
[5,6,4,2,3,1,7]=>[[1,2,7],[3,5],[4],[6]]=>12
[5,6,4,2,3,7,1]=>[[1,2,6],[3,5],[4],[7]]=>13
[5,6,4,2,7,1,3]=>[[1,2,5],[3,7],[4],[6]]=>13
[5,6,4,2,7,3,1]=>[[1,2,5],[3,6],[4],[7]]=>14
[5,6,4,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>11
[5,6,4,3,1,7,2]=>[[1,2,6],[3,7],[4],[5]]=>12
[5,6,4,3,2,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>14
[5,6,4,3,2,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>15
[5,6,4,3,7,1,2]=>[[1,2,5],[3,7],[4],[6]]=>13
[5,6,4,3,7,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>16
[5,6,4,7,1,2,3]=>[[1,2,4],[3,6,7],[5]]=>12
[5,6,4,7,1,3,2]=>[[1,2,4],[3,6],[5],[7]]=>15
[5,6,4,7,2,1,3]=>[[1,2,4],[3,7],[5],[6]]=>14
[5,6,4,7,2,3,1]=>[[1,2,4],[3,6],[5],[7]]=>15
[5,6,4,7,3,1,2]=>[[1,2,4],[3,7],[5],[6]]=>14
[5,6,4,7,3,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>17
[5,6,7,1,2,3,4]=>[[1,2,3,7],[4,5,6]]=>9
[5,6,7,1,2,4,3]=>[[1,2,3],[4,5,6],[7]]=>15
[5,6,7,1,3,2,4]=>[[1,2,3],[4,5,7],[6]]=>14
[5,6,7,1,3,4,2]=>[[1,2,3],[4,5,6],[7]]=>15
[5,6,7,1,4,2,3]=>[[1,2,3],[4,5,7],[6]]=>14
[5,6,7,1,4,3,2]=>[[1,2,3],[4,5],[6],[7]]=>17
[5,6,7,2,1,3,4]=>[[1,2,3],[4,6,7],[5]]=>13
[5,6,7,2,1,4,3]=>[[1,2,3],[4,6],[5,7]]=>14
[5,6,7,2,3,1,4]=>[[1,2,3],[4,5,7],[6]]=>14
[5,6,7,2,3,4,1]=>[[1,2,3],[4,5,6],[7]]=>15
[5,6,7,2,4,1,3]=>[[1,2,3],[4,5],[6,7]]=>16
[5,6,7,2,4,3,1]=>[[1,2,3],[4,5],[6],[7]]=>17
[5,6,7,3,1,2,4]=>[[1,2,3],[4,6,7],[5]]=>13
[5,6,7,3,1,4,2]=>[[1,2,3],[4,6],[5,7]]=>14
[5,6,7,3,2,1,4]=>[[1,2,3],[4,7],[5],[6]]=>15
[5,6,7,3,2,4,1]=>[[1,2,3],[4,6],[5],[7]]=>16
[5,6,7,3,4,1,2]=>[[1,2,3],[4,5],[6,7]]=>16
[5,6,7,3,4,2,1]=>[[1,2,3],[4,5],[6],[7]]=>17
[5,6,7,4,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>13
[5,6,7,4,1,3,2]=>[[1,2,3],[4,6],[5],[7]]=>16
[5,6,7,4,2,1,3]=>[[1,2,3],[4,7],[5],[6]]=>15
[5,6,7,4,2,3,1]=>[[1,2,3],[4,6],[5],[7]]=>16
[5,6,7,4,3,1,2]=>[[1,2,3],[4,7],[5],[6]]=>15
[5,6,7,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>18
[5,7,1,2,3,4,6]=>[[1,2,5,6,7],[3,4]]=>4
[5,7,1,2,3,6,4]=>[[1,2,5,6],[3,4],[7]]=>10
[5,7,1,2,4,3,6]=>[[1,2,5,7],[3,4],[6]]=>9
[5,7,1,2,4,6,3]=>[[1,2,5,6],[3,4],[7]]=>10
[5,7,1,2,6,3,4]=>[[1,2,5,7],[3,4],[6]]=>9
[5,7,1,2,6,4,3]=>[[1,2,5],[3,4],[6],[7]]=>15
[5,7,1,3,2,4,6]=>[[1,2,6,7],[3,4],[5]]=>8
[5,7,1,3,2,6,4]=>[[1,2,6],[3,4],[5,7]]=>13
[5,7,1,3,4,2,6]=>[[1,2,5,7],[3,4],[6]]=>9
[5,7,1,3,4,6,2]=>[[1,2,5,6],[3,4],[7]]=>10
[5,7,1,3,6,2,4]=>[[1,2,5],[3,4],[6,7]]=>14
[5,7,1,3,6,4,2]=>[[1,2,5],[3,4],[6],[7]]=>15
[5,7,1,4,2,3,6]=>[[1,2,6,7],[3,4],[5]]=>8
[5,7,1,4,2,6,3]=>[[1,2,6],[3,4],[5,7]]=>13
[5,7,1,4,3,2,6]=>[[1,2,7],[3,4],[5],[6]]=>13
[5,7,1,4,3,6,2]=>[[1,2,6],[3,4],[5],[7]]=>14
[5,7,1,4,6,2,3]=>[[1,2,5],[3,4],[6,7]]=>14
[5,7,1,4,6,3,2]=>[[1,2,5],[3,4],[6],[7]]=>15
[5,7,1,6,2,3,4]=>[[1,2,6,7],[3,4],[5]]=>8
[5,7,1,6,2,4,3]=>[[1,2,6],[3,4],[5],[7]]=>14
[5,7,1,6,3,2,4]=>[[1,2,7],[3,4],[5],[6]]=>13
[5,7,1,6,3,4,2]=>[[1,2,6],[3,4],[5],[7]]=>14
[5,7,1,6,4,2,3]=>[[1,2,7],[3,4],[5],[6]]=>13
[5,7,1,6,4,3,2]=>[[1,2],[3,4],[5],[6],[7]]=>19
[5,7,2,1,3,4,6]=>[[1,2,6,7],[3,5],[4]]=>7
[5,7,2,1,3,6,4]=>[[1,2,6],[3,5],[4,7]]=>11
[5,7,2,1,4,3,6]=>[[1,2,7],[3,5],[4,6]]=>10
[5,7,2,1,4,6,3]=>[[1,2,6],[3,5],[4,7]]=>11
[5,7,2,1,6,3,4]=>[[1,2,7],[3,5],[4,6]]=>10
[5,7,2,1,6,4,3]=>[[1,2],[3,5],[4,6],[7]]=>16
[5,7,2,3,1,4,6]=>[[1,2,6,7],[3,4],[5]]=>8
[5,7,2,3,1,6,4]=>[[1,2,6],[3,4],[5,7]]=>13
[5,7,2,3,4,1,6]=>[[1,2,5,7],[3,4],[6]]=>9
[5,7,2,3,4,6,1]=>[[1,2,5,6],[3,4],[7]]=>10
[5,7,2,3,6,1,4]=>[[1,2,5],[3,4],[6,7]]=>14
[5,7,2,3,6,4,1]=>[[1,2,5],[3,4],[6],[7]]=>15
[5,7,2,4,1,3,6]=>[[1,2,7],[3,4],[5,6]]=>12
[5,7,2,4,1,6,3]=>[[1,2,6],[3,4],[5,7]]=>13
[5,7,2,4,3,1,6]=>[[1,2,7],[3,4],[5],[6]]=>13
[5,7,2,4,3,6,1]=>[[1,2,6],[3,4],[5],[7]]=>14
[5,7,2,4,6,1,3]=>[[1,2,5],[3,4],[6,7]]=>14
[5,7,2,4,6,3,1]=>[[1,2,5],[3,4],[6],[7]]=>15
[5,7,2,6,1,3,4]=>[[1,2,7],[3,4],[5,6]]=>12
[5,7,2,6,1,4,3]=>[[1,2],[3,4],[5,6],[7]]=>18
[5,7,2,6,3,1,4]=>[[1,2,7],[3,4],[5],[6]]=>13
[5,7,2,6,3,4,1]=>[[1,2,6],[3,4],[5],[7]]=>14
[5,7,2,6,4,1,3]=>[[1,2],[3,4],[5,7],[6]]=>17
[5,7,2,6,4,3,1]=>[[1,2],[3,4],[5],[6],[7]]=>19
[5,7,3,1,2,4,6]=>[[1,2,6,7],[3,5],[4]]=>7
[5,7,3,1,2,6,4]=>[[1,2,6],[3,5],[4,7]]=>11
[5,7,3,1,4,2,6]=>[[1,2,7],[3,5],[4,6]]=>10
[5,7,3,1,4,6,2]=>[[1,2,6],[3,5],[4,7]]=>11
[5,7,3,1,6,2,4]=>[[1,2,7],[3,5],[4,6]]=>10
[5,7,3,1,6,4,2]=>[[1,2],[3,5],[4,6],[7]]=>16
[5,7,3,2,1,4,6]=>[[1,2,7],[3,6],[4],[5]]=>11
[5,7,3,2,1,6,4]=>[[1,2],[3,6],[4,7],[5]]=>14
[5,7,3,2,4,1,6]=>[[1,2,7],[3,5],[4],[6]]=>12
[5,7,3,2,4,6,1]=>[[1,2,6],[3,5],[4],[7]]=>13
[5,7,3,2,6,1,4]=>[[1,2],[3,5],[4,7],[6]]=>15
[5,7,3,2,6,4,1]=>[[1,2],[3,5],[4,6],[7]]=>16
[5,7,3,4,1,2,6]=>[[1,2,7],[3,4],[5,6]]=>12
[5,7,3,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>13
[5,7,3,4,2,1,6]=>[[1,2,7],[3,4],[5],[6]]=>13
[5,7,3,4,2,6,1]=>[[1,2,6],[3,4],[5],[7]]=>14
[5,7,3,4,6,1,2]=>[[1,2,5],[3,4],[6,7]]=>14
[5,7,3,4,6,2,1]=>[[1,2,5],[3,4],[6],[7]]=>15
[5,7,3,6,1,2,4]=>[[1,2,7],[3,4],[5,6]]=>12
[5,7,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>18
[5,7,3,6,2,1,4]=>[[1,2],[3,4],[5,7],[6]]=>17
[5,7,3,6,2,4,1]=>[[1,2],[3,4],[5,6],[7]]=>18
[5,7,3,6,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>17
[5,7,3,6,4,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>19
[5,7,4,1,2,3,6]=>[[1,2,6,7],[3,5],[4]]=>7
[5,7,4,1,2,6,3]=>[[1,2,6],[3,5],[4,7]]=>11
[5,7,4,1,3,2,6]=>[[1,2,7],[3,5],[4],[6]]=>12
[5,7,4,1,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>13
[5,7,4,1,6,2,3]=>[[1,2,7],[3,5],[4,6]]=>10
[5,7,4,1,6,3,2]=>[[1,2],[3,5],[4,6],[7]]=>16
[5,7,4,2,1,3,6]=>[[1,2,7],[3,6],[4],[5]]=>11
[5,7,4,2,1,6,3]=>[[1,2],[3,6],[4,7],[5]]=>14
[5,7,4,2,3,1,6]=>[[1,2,7],[3,5],[4],[6]]=>12
[5,7,4,2,3,6,1]=>[[1,2,6],[3,5],[4],[7]]=>13
[5,7,4,2,6,1,3]=>[[1,2],[3,5],[4,7],[6]]=>15
[5,7,4,2,6,3,1]=>[[1,2],[3,5],[4,6],[7]]=>16
[5,7,4,3,1,2,6]=>[[1,2,7],[3,6],[4],[5]]=>11
[5,7,4,3,1,6,2]=>[[1,2],[3,6],[4,7],[5]]=>14
[5,7,4,3,2,1,6]=>[[1,2],[3,7],[4],[5],[6]]=>16
[5,7,4,3,2,6,1]=>[[1,2],[3,6],[4],[5],[7]]=>17
[5,7,4,3,6,1,2]=>[[1,2],[3,5],[4,7],[6]]=>15
[5,7,4,3,6,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>18
[5,7,4,6,1,2,3]=>[[1,2,7],[3,4],[5,6]]=>12
[5,7,4,6,1,3,2]=>[[1,2],[3,4],[5,6],[7]]=>18
[5,7,4,6,2,1,3]=>[[1,2],[3,4],[5,7],[6]]=>17
[5,7,4,6,2,3,1]=>[[1,2],[3,4],[5,6],[7]]=>18
[5,7,4,6,3,1,2]=>[[1,2],[3,4],[5,7],[6]]=>17
[5,7,4,6,3,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>19
[5,7,6,1,2,3,4]=>[[1,2,6,7],[3,5],[4]]=>7
[5,7,6,1,2,4,3]=>[[1,2,6],[3,5],[4],[7]]=>13
[5,7,6,1,3,2,4]=>[[1,2,7],[3,5],[4],[6]]=>12
[5,7,6,1,3,4,2]=>[[1,2,6],[3,5],[4],[7]]=>13
[5,7,6,1,4,2,3]=>[[1,2,7],[3,5],[4],[6]]=>12
[5,7,6,1,4,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>18
[5,7,6,2,1,3,4]=>[[1,2,7],[3,6],[4],[5]]=>11
[5,7,6,2,1,4,3]=>[[1,2],[3,6],[4,7],[5]]=>14
[5,7,6,2,3,1,4]=>[[1,2,7],[3,5],[4],[6]]=>12
[5,7,6,2,3,4,1]=>[[1,2,6],[3,5],[4],[7]]=>13
[5,7,6,2,4,1,3]=>[[1,2],[3,5],[4,7],[6]]=>15
[5,7,6,2,4,3,1]=>[[1,2],[3,5],[4],[6],[7]]=>18
[5,7,6,3,1,2,4]=>[[1,2,7],[3,6],[4],[5]]=>11
[5,7,6,3,1,4,2]=>[[1,2],[3,6],[4,7],[5]]=>14
[5,7,6,3,2,1,4]=>[[1,2],[3,7],[4],[5],[6]]=>16
[5,7,6,3,2,4,1]=>[[1,2],[3,6],[4],[5],[7]]=>17
[5,7,6,3,4,1,2]=>[[1,2],[3,5],[4,7],[6]]=>15
[5,7,6,3,4,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>18
[5,7,6,4,1,2,3]=>[[1,2,7],[3,6],[4],[5]]=>11
[5,7,6,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>17
[5,7,6,4,2,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>16
[5,7,6,4,2,3,1]=>[[1,2],[3,6],[4],[5],[7]]=>17
[5,7,6,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>16
[5,7,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>20
[6,1,2,3,4,5,7]=>[[1,3,4,5,6,7],[2]]=>1
[6,1,2,3,4,7,5]=>[[1,3,4,5,6],[2,7]]=>5
[6,1,2,3,5,4,7]=>[[1,3,4,5,7],[2],[6]]=>6
[6,1,2,3,5,7,4]=>[[1,3,4,5,6],[2],[7]]=>7
[6,1,2,3,7,4,5]=>[[1,3,4,5,7],[2,6]]=>4
[6,1,2,3,7,5,4]=>[[1,3,4,5],[2,6],[7]]=>10
[6,1,2,4,3,5,7]=>[[1,3,4,6,7],[2],[5]]=>5
[6,1,2,4,3,7,5]=>[[1,3,4,6],[2,7],[5]]=>8
[6,1,2,4,5,3,7]=>[[1,3,4,5,7],[2],[6]]=>6
[6,1,2,4,5,7,3]=>[[1,3,4,5,6],[2],[7]]=>7
[6,1,2,4,7,3,5]=>[[1,3,4,5],[2,7],[6]]=>9
[6,1,2,4,7,5,3]=>[[1,3,4,5],[2,6],[7]]=>10
[6,1,2,5,3,4,7]=>[[1,3,4,6,7],[2],[5]]=>5
[6,1,2,5,3,7,4]=>[[1,3,4,6],[2,7],[5]]=>8
[6,1,2,5,4,3,7]=>[[1,3,4,7],[2],[5],[6]]=>10
[6,1,2,5,4,7,3]=>[[1,3,4,6],[2],[5],[7]]=>11
[6,1,2,5,7,3,4]=>[[1,3,4,5],[2,7],[6]]=>9
[6,1,2,5,7,4,3]=>[[1,3,4,5],[2],[6],[7]]=>12
[6,1,2,7,3,4,5]=>[[1,3,4,6,7],[2,5]]=>3
[6,1,2,7,3,5,4]=>[[1,3,4,6],[2,5],[7]]=>9
[6,1,2,7,4,3,5]=>[[1,3,4,7],[2,5],[6]]=>8
[6,1,2,7,4,5,3]=>[[1,3,4,6],[2,5],[7]]=>9
[6,1,2,7,5,3,4]=>[[1,3,4,7],[2,5],[6]]=>8
[6,1,2,7,5,4,3]=>[[1,3,4],[2,5],[6],[7]]=>14
[6,1,3,2,4,5,7]=>[[1,3,5,6,7],[2],[4]]=>4
[6,1,3,2,4,7,5]=>[[1,3,5,6],[2,7],[4]]=>7
[6,1,3,2,5,4,7]=>[[1,3,5,7],[2,6],[4]]=>6
[6,1,3,2,5,7,4]=>[[1,3,5,6],[2,7],[4]]=>7
[6,1,3,2,7,4,5]=>[[1,3,5,7],[2,6],[4]]=>6
[6,1,3,2,7,5,4]=>[[1,3,5],[2,6],[4,7]]=>9
[6,1,3,4,2,5,7]=>[[1,3,4,6,7],[2],[5]]=>5
[6,1,3,4,2,7,5]=>[[1,3,4,6],[2,7],[5]]=>8
[6,1,3,4,5,2,7]=>[[1,3,4,5,7],[2],[6]]=>6
[6,1,3,4,5,7,2]=>[[1,3,4,5,6],[2],[7]]=>7
[6,1,3,4,7,2,5]=>[[1,3,4,5],[2,7],[6]]=>9
[6,1,3,4,7,5,2]=>[[1,3,4,5],[2,6],[7]]=>10
[6,1,3,5,2,4,7]=>[[1,3,4,7],[2,6],[5]]=>7
[6,1,3,5,2,7,4]=>[[1,3,4,6],[2,7],[5]]=>8
[6,1,3,5,4,2,7]=>[[1,3,4,7],[2],[5],[6]]=>10
[6,1,3,5,4,7,2]=>[[1,3,4,6],[2],[5],[7]]=>11
[6,1,3,5,7,2,4]=>[[1,3,4,5],[2,7],[6]]=>9
[6,1,3,5,7,4,2]=>[[1,3,4,5],[2],[6],[7]]=>12
[6,1,3,7,2,4,5]=>[[1,3,4,7],[2,6],[5]]=>7
[6,1,3,7,2,5,4]=>[[1,3,4],[2,6],[5,7]]=>10
[6,1,3,7,4,2,5]=>[[1,3,4,7],[2,5],[6]]=>8
[6,1,3,7,4,5,2]=>[[1,3,4,6],[2,5],[7]]=>9
[6,1,3,7,5,2,4]=>[[1,3,4],[2,5],[6,7]]=>13
[6,1,3,7,5,4,2]=>[[1,3,4],[2,5],[6],[7]]=>14
[6,1,4,2,3,5,7]=>[[1,3,5,6,7],[2],[4]]=>4
[6,1,4,2,3,7,5]=>[[1,3,5,6],[2,7],[4]]=>7
[6,1,4,2,5,3,7]=>[[1,3,5,7],[2,6],[4]]=>6
[6,1,4,2,5,7,3]=>[[1,3,5,6],[2,7],[4]]=>7
[6,1,4,2,7,3,5]=>[[1,3,5,7],[2,6],[4]]=>6
[6,1,4,2,7,5,3]=>[[1,3,5],[2,6],[4,7]]=>9
[6,1,4,3,2,5,7]=>[[1,3,6,7],[2],[4],[5]]=>8
[6,1,4,3,2,7,5]=>[[1,3,6],[2,7],[4],[5]]=>10
[6,1,4,3,5,2,7]=>[[1,3,5,7],[2],[4],[6]]=>9
[6,1,4,3,5,7,2]=>[[1,3,5,6],[2],[4],[7]]=>10
[6,1,4,3,7,2,5]=>[[1,3,5],[2,7],[4],[6]]=>11
[6,1,4,3,7,5,2]=>[[1,3,5],[2,6],[4],[7]]=>12
[6,1,4,5,2,3,7]=>[[1,3,4,7],[2,6],[5]]=>7
[6,1,4,5,2,7,3]=>[[1,3,4,6],[2,7],[5]]=>8
[6,1,4,5,3,2,7]=>[[1,3,4,7],[2],[5],[6]]=>10
[6,1,4,5,3,7,2]=>[[1,3,4,6],[2],[5],[7]]=>11
[6,1,4,5,7,2,3]=>[[1,3,4,5],[2,7],[6]]=>9
[6,1,4,5,7,3,2]=>[[1,3,4,5],[2],[6],[7]]=>12
[6,1,4,7,2,3,5]=>[[1,3,4,7],[2,6],[5]]=>7
[6,1,4,7,2,5,3]=>[[1,3,4],[2,6],[5,7]]=>10
[6,1,4,7,3,2,5]=>[[1,3,4],[2,7],[5],[6]]=>12
[6,1,4,7,3,5,2]=>[[1,3,4],[2,6],[5],[7]]=>13
[6,1,4,7,5,2,3]=>[[1,3,4],[2,5],[6,7]]=>13
[6,1,4,7,5,3,2]=>[[1,3,4],[2,5],[6],[7]]=>14
[6,1,5,2,3,4,7]=>[[1,3,5,6,7],[2],[4]]=>4
[6,1,5,2,3,7,4]=>[[1,3,5,6],[2,7],[4]]=>7
[6,1,5,2,4,3,7]=>[[1,3,5,7],[2],[4],[6]]=>9
[6,1,5,2,4,7,3]=>[[1,3,5,6],[2],[4],[7]]=>10
[6,1,5,2,7,3,4]=>[[1,3,5,7],[2,6],[4]]=>6
[6,1,5,2,7,4,3]=>[[1,3,5],[2,6],[4],[7]]=>12
[6,1,5,3,2,4,7]=>[[1,3,6,7],[2],[4],[5]]=>8
[6,1,5,3,2,7,4]=>[[1,3,6],[2,7],[4],[5]]=>10
[6,1,5,3,4,2,7]=>[[1,3,5,7],[2],[4],[6]]=>9
[6,1,5,3,4,7,2]=>[[1,3,5,6],[2],[4],[7]]=>10
[6,1,5,3,7,2,4]=>[[1,3,5],[2,7],[4],[6]]=>11
[6,1,5,3,7,4,2]=>[[1,3,5],[2,6],[4],[7]]=>12
[6,1,5,4,2,3,7]=>[[1,3,6,7],[2],[4],[5]]=>8
[6,1,5,4,2,7,3]=>[[1,3,6],[2,7],[4],[5]]=>10
[6,1,5,4,3,2,7]=>[[1,3,7],[2],[4],[5],[6]]=>13
[6,1,5,4,3,7,2]=>[[1,3,6],[2],[4],[5],[7]]=>14
[6,1,5,4,7,2,3]=>[[1,3,5],[2,7],[4],[6]]=>11
[6,1,5,4,7,3,2]=>[[1,3,5],[2],[4],[6],[7]]=>15
[6,1,5,7,2,3,4]=>[[1,3,4,7],[2,6],[5]]=>7
[6,1,5,7,2,4,3]=>[[1,3,4],[2,6],[5],[7]]=>13
[6,1,5,7,3,2,4]=>[[1,3,4],[2,7],[5],[6]]=>12
[6,1,5,7,3,4,2]=>[[1,3,4],[2,6],[5],[7]]=>13
[6,1,5,7,4,2,3]=>[[1,3,4],[2,7],[5],[6]]=>12
[6,1,5,7,4,3,2]=>[[1,3,4],[2],[5],[6],[7]]=>16
[6,1,7,2,3,4,5]=>[[1,3,5,6,7],[2,4]]=>2
[6,1,7,2,3,5,4]=>[[1,3,5,6],[2,4],[7]]=>8
[6,1,7,2,4,3,5]=>[[1,3,5,7],[2,4],[6]]=>7
[6,1,7,2,4,5,3]=>[[1,3,5,6],[2,4],[7]]=>8
[6,1,7,2,5,3,4]=>[[1,3,5,7],[2,4],[6]]=>7
[6,1,7,2,5,4,3]=>[[1,3,5],[2,4],[6],[7]]=>13
[6,1,7,3,2,4,5]=>[[1,3,6,7],[2,4],[5]]=>6
[6,1,7,3,2,5,4]=>[[1,3,6],[2,4],[5,7]]=>11
[6,1,7,3,4,2,5]=>[[1,3,5,7],[2,4],[6]]=>7
[6,1,7,3,4,5,2]=>[[1,3,5,6],[2,4],[7]]=>8
[6,1,7,3,5,2,4]=>[[1,3,5],[2,4],[6,7]]=>12
[6,1,7,3,5,4,2]=>[[1,3,5],[2,4],[6],[7]]=>13
[6,1,7,4,2,3,5]=>[[1,3,6,7],[2,4],[5]]=>6
[6,1,7,4,2,5,3]=>[[1,3,6],[2,4],[5,7]]=>11
[6,1,7,4,3,2,5]=>[[1,3,7],[2,4],[5],[6]]=>11
[6,1,7,4,3,5,2]=>[[1,3,6],[2,4],[5],[7]]=>12
[6,1,7,4,5,2,3]=>[[1,3,5],[2,4],[6,7]]=>12
[6,1,7,4,5,3,2]=>[[1,3,5],[2,4],[6],[7]]=>13
[6,1,7,5,2,3,4]=>[[1,3,6,7],[2,4],[5]]=>6
[6,1,7,5,2,4,3]=>[[1,3,6],[2,4],[5],[7]]=>12
[6,1,7,5,3,2,4]=>[[1,3,7],[2,4],[5],[6]]=>11
[6,1,7,5,3,4,2]=>[[1,3,6],[2,4],[5],[7]]=>12
[6,1,7,5,4,2,3]=>[[1,3,7],[2,4],[5],[6]]=>11
[6,1,7,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7]]=>17
[6,2,1,3,4,5,7]=>[[1,4,5,6,7],[2],[3]]=>3
[6,2,1,3,4,7,5]=>[[1,4,5,6],[2,7],[3]]=>6
[6,2,1,3,5,4,7]=>[[1,4,5,7],[2,6],[3]]=>5
[6,2,1,3,5,7,4]=>[[1,4,5,6],[2,7],[3]]=>6
[6,2,1,3,7,4,5]=>[[1,4,5,7],[2,6],[3]]=>5
[6,2,1,3,7,5,4]=>[[1,4,5],[2,6],[3,7]]=>8
[6,2,1,4,3,5,7]=>[[1,4,6,7],[2,5],[3]]=>4
[6,2,1,4,3,7,5]=>[[1,4,6],[2,5,7],[3]]=>5
[6,2,1,4,5,3,7]=>[[1,4,5,7],[2,6],[3]]=>5
[6,2,1,4,5,7,3]=>[[1,4,5,6],[2,7],[3]]=>6
[6,2,1,4,7,3,5]=>[[1,4,5],[2,6,7],[3]]=>7
[6,2,1,4,7,5,3]=>[[1,4,5],[2,6],[3,7]]=>8
[6,2,1,5,3,4,7]=>[[1,4,6,7],[2,5],[3]]=>4
[6,2,1,5,3,7,4]=>[[1,4,6],[2,5,7],[3]]=>5
[6,2,1,5,4,3,7]=>[[1,4,7],[2,5],[3],[6]]=>9
[6,2,1,5,4,7,3]=>[[1,4,6],[2,5],[3],[7]]=>10
[6,2,1,5,7,3,4]=>[[1,4,5],[2,6,7],[3]]=>7
[6,2,1,5,7,4,3]=>[[1,4,5],[2,6],[3],[7]]=>11
[6,2,1,7,3,4,5]=>[[1,4,6,7],[2,5],[3]]=>4
[6,2,1,7,3,5,4]=>[[1,4,6],[2,5],[3,7]]=>7
[6,2,1,7,4,3,5]=>[[1,4,7],[2,5],[3,6]]=>6
[6,2,1,7,4,5,3]=>[[1,4,6],[2,5],[3,7]]=>7
[6,2,1,7,5,3,4]=>[[1,4,7],[2,5],[3,6]]=>6
[6,2,1,7,5,4,3]=>[[1,4],[2,5],[3,6],[7]]=>12
[6,2,3,1,4,5,7]=>[[1,3,5,6,7],[2],[4]]=>4
[6,2,3,1,4,7,5]=>[[1,3,5,6],[2,7],[4]]=>7
[6,2,3,1,5,4,7]=>[[1,3,5,7],[2,6],[4]]=>6
[6,2,3,1,5,7,4]=>[[1,3,5,6],[2,7],[4]]=>7
[6,2,3,1,7,4,5]=>[[1,3,5,7],[2,6],[4]]=>6
[6,2,3,1,7,5,4]=>[[1,3,5],[2,6],[4,7]]=>9
[6,2,3,4,1,5,7]=>[[1,3,4,6,7],[2],[5]]=>5
[6,2,3,4,1,7,5]=>[[1,3,4,6],[2,7],[5]]=>8
[6,2,3,4,5,1,7]=>[[1,3,4,5,7],[2],[6]]=>6
[6,2,3,4,5,7,1]=>[[1,3,4,5,6],[2],[7]]=>7
[6,2,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>9
[6,2,3,4,7,5,1]=>[[1,3,4,5],[2,6],[7]]=>10
[6,2,3,5,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>7
[6,2,3,5,1,7,4]=>[[1,3,4,6],[2,7],[5]]=>8
[6,2,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>10
[6,2,3,5,4,7,1]=>[[1,3,4,6],[2],[5],[7]]=>11
[6,2,3,5,7,1,4]=>[[1,3,4,5],[2,7],[6]]=>9
[6,2,3,5,7,4,1]=>[[1,3,4,5],[2],[6],[7]]=>12
[6,2,3,7,1,4,5]=>[[1,3,4,7],[2,6],[5]]=>7
[6,2,3,7,1,5,4]=>[[1,3,4],[2,6],[5,7]]=>10
[6,2,3,7,4,1,5]=>[[1,3,4,7],[2,5],[6]]=>8
[6,2,3,7,4,5,1]=>[[1,3,4,6],[2,5],[7]]=>9
[6,2,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>13
[6,2,3,7,5,4,1]=>[[1,3,4],[2,5],[6],[7]]=>14
[6,2,4,1,3,5,7]=>[[1,3,6,7],[2,5],[4]]=>5
[6,2,4,1,3,7,5]=>[[1,3,6],[2,5,7],[4]]=>6
[6,2,4,1,5,3,7]=>[[1,3,5,7],[2,6],[4]]=>6
[6,2,4,1,5,7,3]=>[[1,3,5,6],[2,7],[4]]=>7
[6,2,4,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>8
[6,2,4,1,7,5,3]=>[[1,3,5],[2,6],[4,7]]=>9
[6,2,4,3,1,5,7]=>[[1,3,6,7],[2],[4],[5]]=>8
[6,2,4,3,1,7,5]=>[[1,3,6],[2,7],[4],[5]]=>10
[6,2,4,3,5,1,7]=>[[1,3,5,7],[2],[4],[6]]=>9
[6,2,4,3,5,7,1]=>[[1,3,5,6],[2],[4],[7]]=>10
[6,2,4,3,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>11
[6,2,4,3,7,5,1]=>[[1,3,5],[2,6],[4],[7]]=>12
[6,2,4,5,1,3,7]=>[[1,3,4,7],[2,6],[5]]=>7
[6,2,4,5,1,7,3]=>[[1,3,4,6],[2,7],[5]]=>8
[6,2,4,5,3,1,7]=>[[1,3,4,7],[2],[5],[6]]=>10
[6,2,4,5,3,7,1]=>[[1,3,4,6],[2],[5],[7]]=>11
[6,2,4,5,7,1,3]=>[[1,3,4,5],[2,7],[6]]=>9
[6,2,4,5,7,3,1]=>[[1,3,4,5],[2],[6],[7]]=>12
[6,2,4,7,1,3,5]=>[[1,3,4],[2,6,7],[5]]=>9
[6,2,4,7,1,5,3]=>[[1,3,4],[2,6],[5,7]]=>10
[6,2,4,7,3,1,5]=>[[1,3,4],[2,7],[5],[6]]=>12
[6,2,4,7,3,5,1]=>[[1,3,4],[2,6],[5],[7]]=>13
[6,2,4,7,5,1,3]=>[[1,3,4],[2,5],[6,7]]=>13
[6,2,4,7,5,3,1]=>[[1,3,4],[2,5],[6],[7]]=>14
[6,2,5,1,3,4,7]=>[[1,3,6,7],[2,5],[4]]=>5
[6,2,5,1,3,7,4]=>[[1,3,6],[2,5,7],[4]]=>6
[6,2,5,1,4,3,7]=>[[1,3,7],[2,5],[4],[6]]=>10
[6,2,5,1,4,7,3]=>[[1,3,6],[2,5],[4],[7]]=>11
[6,2,5,1,7,3,4]=>[[1,3,5],[2,6,7],[4]]=>8
[6,2,5,1,7,4,3]=>[[1,3,5],[2,6],[4],[7]]=>12
[6,2,5,3,1,4,7]=>[[1,3,6,7],[2],[4],[5]]=>8
[6,2,5,3,1,7,4]=>[[1,3,6],[2,7],[4],[5]]=>10
[6,2,5,3,4,1,7]=>[[1,3,5,7],[2],[4],[6]]=>9
[6,2,5,3,4,7,1]=>[[1,3,5,6],[2],[4],[7]]=>10
[6,2,5,3,7,1,4]=>[[1,3,5],[2,7],[4],[6]]=>11
[6,2,5,3,7,4,1]=>[[1,3,5],[2,6],[4],[7]]=>12
[6,2,5,4,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>9
[6,2,5,4,1,7,3]=>[[1,3,6],[2,7],[4],[5]]=>10
[6,2,5,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>13
[6,2,5,4,3,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>14
[6,2,5,4,7,1,3]=>[[1,3,5],[2,7],[4],[6]]=>11
[6,2,5,4,7,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>15
[6,2,5,7,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>9
[6,2,5,7,1,4,3]=>[[1,3,4],[2,6],[5],[7]]=>13
[6,2,5,7,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>12
[6,2,5,7,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>13
[6,2,5,7,4,1,3]=>[[1,3,4],[2,7],[5],[6]]=>12
[6,2,5,7,4,3,1]=>[[1,3,4],[2],[5],[6],[7]]=>16
[6,2,7,1,3,4,5]=>[[1,3,6,7],[2,5],[4]]=>5
[6,2,7,1,3,5,4]=>[[1,3,6],[2,5],[4,7]]=>8
[6,2,7,1,4,3,5]=>[[1,3,7],[2,5],[4,6]]=>7
[6,2,7,1,4,5,3]=>[[1,3,6],[2,5],[4,7]]=>8
[6,2,7,1,5,3,4]=>[[1,3,7],[2,5],[4,6]]=>7
[6,2,7,1,5,4,3]=>[[1,3],[2,5],[4,6],[7]]=>13
[6,2,7,3,1,4,5]=>[[1,3,6,7],[2,4],[5]]=>6
[6,2,7,3,1,5,4]=>[[1,3,6],[2,4],[5,7]]=>11
[6,2,7,3,4,1,5]=>[[1,3,5,7],[2,4],[6]]=>7
[6,2,7,3,4,5,1]=>[[1,3,5,6],[2,4],[7]]=>8
[6,2,7,3,5,1,4]=>[[1,3,5],[2,4],[6,7]]=>12
[6,2,7,3,5,4,1]=>[[1,3,5],[2,4],[6],[7]]=>13
[6,2,7,4,1,3,5]=>[[1,3,7],[2,4],[5,6]]=>10
[6,2,7,4,1,5,3]=>[[1,3,6],[2,4],[5,7]]=>11
[6,2,7,4,3,1,5]=>[[1,3,7],[2,4],[5],[6]]=>11
[6,2,7,4,3,5,1]=>[[1,3,6],[2,4],[5],[7]]=>12
[6,2,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>12
[6,2,7,4,5,3,1]=>[[1,3,5],[2,4],[6],[7]]=>13
[6,2,7,5,1,3,4]=>[[1,3,7],[2,4],[5,6]]=>10
[6,2,7,5,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>16
[6,2,7,5,3,1,4]=>[[1,3,7],[2,4],[5],[6]]=>11
[6,2,7,5,3,4,1]=>[[1,3,6],[2,4],[5],[7]]=>12
[6,2,7,5,4,1,3]=>[[1,3],[2,4],[5,7],[6]]=>15
[6,2,7,5,4,3,1]=>[[1,3],[2,4],[5],[6],[7]]=>17
[6,3,1,2,4,5,7]=>[[1,4,5,6,7],[2],[3]]=>3
[6,3,1,2,4,7,5]=>[[1,4,5,6],[2,7],[3]]=>6
[6,3,1,2,5,4,7]=>[[1,4,5,7],[2,6],[3]]=>5
[6,3,1,2,5,7,4]=>[[1,4,5,6],[2,7],[3]]=>6
[6,3,1,2,7,4,5]=>[[1,4,5,7],[2,6],[3]]=>5
[6,3,1,2,7,5,4]=>[[1,4,5],[2,6],[3,7]]=>8
[6,3,1,4,2,5,7]=>[[1,4,6,7],[2,5],[3]]=>4
[6,3,1,4,2,7,5]=>[[1,4,6],[2,5,7],[3]]=>5
[6,3,1,4,5,2,7]=>[[1,4,5,7],[2,6],[3]]=>5
[6,3,1,4,5,7,2]=>[[1,4,5,6],[2,7],[3]]=>6
[6,3,1,4,7,2,5]=>[[1,4,5],[2,6,7],[3]]=>7
[6,3,1,4,7,5,2]=>[[1,4,5],[2,6],[3,7]]=>8
[6,3,1,5,2,4,7]=>[[1,4,6,7],[2,5],[3]]=>4
[6,3,1,5,2,7,4]=>[[1,4,6],[2,5,7],[3]]=>5
[6,3,1,5,4,2,7]=>[[1,4,7],[2,5],[3],[6]]=>9
[6,3,1,5,4,7,2]=>[[1,4,6],[2,5],[3],[7]]=>10
[6,3,1,5,7,2,4]=>[[1,4,5],[2,6,7],[3]]=>7
[6,3,1,5,7,4,2]=>[[1,4,5],[2,6],[3],[7]]=>11
[6,3,1,7,2,4,5]=>[[1,4,6,7],[2,5],[3]]=>4
[6,3,1,7,2,5,4]=>[[1,4,6],[2,5],[3,7]]=>7
[6,3,1,7,4,2,5]=>[[1,4,7],[2,5],[3,6]]=>6
[6,3,1,7,4,5,2]=>[[1,4,6],[2,5],[3,7]]=>7
[6,3,1,7,5,2,4]=>[[1,4,7],[2,5],[3,6]]=>6
[6,3,1,7,5,4,2]=>[[1,4],[2,5],[3,6],[7]]=>12
[6,3,2,1,4,5,7]=>[[1,5,6,7],[2],[3],[4]]=>6
[6,3,2,1,4,7,5]=>[[1,5,6],[2,7],[3],[4]]=>8
[6,3,2,1,5,4,7]=>[[1,5,7],[2,6],[3],[4]]=>7
[6,3,2,1,5,7,4]=>[[1,5,6],[2,7],[3],[4]]=>8
[6,3,2,1,7,4,5]=>[[1,5,7],[2,6],[3],[4]]=>7
[6,3,2,1,7,5,4]=>[[1,5],[2,6],[3,7],[4]]=>9
[6,3,2,4,1,5,7]=>[[1,4,6,7],[2],[3],[5]]=>7
[6,3,2,4,1,7,5]=>[[1,4,6],[2,7],[3],[5]]=>9
[6,3,2,4,5,1,7]=>[[1,4,5,7],[2],[3],[6]]=>8
[6,3,2,4,5,7,1]=>[[1,4,5,6],[2],[3],[7]]=>9
[6,3,2,4,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>10
[6,3,2,4,7,5,1]=>[[1,4,5],[2,6],[3],[7]]=>11
[6,3,2,5,1,4,7]=>[[1,4,7],[2,6],[3],[5]]=>8
[6,3,2,5,1,7,4]=>[[1,4,6],[2,7],[3],[5]]=>9
[6,3,2,5,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>9
[6,3,2,5,4,7,1]=>[[1,4,6],[2,5],[3],[7]]=>10
[6,3,2,5,7,1,4]=>[[1,4,5],[2,7],[3],[6]]=>10
[6,3,2,5,7,4,1]=>[[1,4,5],[2,6],[3],[7]]=>11
[6,3,2,7,1,4,5]=>[[1,4,7],[2,6],[3],[5]]=>8
[6,3,2,7,1,5,4]=>[[1,4],[2,6],[3,7],[5]]=>10
[6,3,2,7,4,1,5]=>[[1,4,7],[2,5],[3],[6]]=>9
[6,3,2,7,4,5,1]=>[[1,4,6],[2,5],[3],[7]]=>10
[6,3,2,7,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>11
[6,3,2,7,5,4,1]=>[[1,4],[2,5],[3,6],[7]]=>12
[6,3,4,1,2,5,7]=>[[1,3,6,7],[2,5],[4]]=>5
[6,3,4,1,2,7,5]=>[[1,3,6],[2,5,7],[4]]=>6
[6,3,4,1,5,2,7]=>[[1,3,5,7],[2,6],[4]]=>6
[6,3,4,1,5,7,2]=>[[1,3,5,6],[2,7],[4]]=>7
[6,3,4,1,7,2,5]=>[[1,3,5],[2,6,7],[4]]=>8
[6,3,4,1,7,5,2]=>[[1,3,5],[2,6],[4,7]]=>9
[6,3,4,2,1,5,7]=>[[1,3,6,7],[2],[4],[5]]=>8
[6,3,4,2,1,7,5]=>[[1,3,6],[2,7],[4],[5]]=>10
[6,3,4,2,5,1,7]=>[[1,3,5,7],[2],[4],[6]]=>9
[6,3,4,2,5,7,1]=>[[1,3,5,6],[2],[4],[7]]=>10
[6,3,4,2,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>11
[6,3,4,2,7,5,1]=>[[1,3,5],[2,6],[4],[7]]=>12
[6,3,4,5,1,2,7]=>[[1,3,4,7],[2,6],[5]]=>7
[6,3,4,5,1,7,2]=>[[1,3,4,6],[2,7],[5]]=>8
[6,3,4,5,2,1,7]=>[[1,3,4,7],[2],[5],[6]]=>10
[6,3,4,5,2,7,1]=>[[1,3,4,6],[2],[5],[7]]=>11
[6,3,4,5,7,1,2]=>[[1,3,4,5],[2,7],[6]]=>9
[6,3,4,5,7,2,1]=>[[1,3,4,5],[2],[6],[7]]=>12
[6,3,4,7,1,2,5]=>[[1,3,4],[2,6,7],[5]]=>9
[6,3,4,7,1,5,2]=>[[1,3,4],[2,6],[5,7]]=>10
[6,3,4,7,2,1,5]=>[[1,3,4],[2,7],[5],[6]]=>12
[6,3,4,7,2,5,1]=>[[1,3,4],[2,6],[5],[7]]=>13
[6,3,4,7,5,1,2]=>[[1,3,4],[2,5],[6,7]]=>13
[6,3,4,7,5,2,1]=>[[1,3,4],[2,5],[6],[7]]=>14
[6,3,5,1,2,4,7]=>[[1,3,6,7],[2,5],[4]]=>5
[6,3,5,1,2,7,4]=>[[1,3,6],[2,5,7],[4]]=>6
[6,3,5,1,4,2,7]=>[[1,3,7],[2,5],[4],[6]]=>10
[6,3,5,1,4,7,2]=>[[1,3,6],[2,5],[4],[7]]=>11
[6,3,5,1,7,2,4]=>[[1,3,5],[2,6,7],[4]]=>8
[6,3,5,1,7,4,2]=>[[1,3,5],[2,6],[4],[7]]=>12
[6,3,5,2,1,4,7]=>[[1,3,7],[2,6],[4],[5]]=>9
[6,3,5,2,1,7,4]=>[[1,3,6],[2,7],[4],[5]]=>10
[6,3,5,2,4,1,7]=>[[1,3,7],[2,5],[4],[6]]=>10
[6,3,5,2,4,7,1]=>[[1,3,6],[2,5],[4],[7]]=>11
[6,3,5,2,7,1,4]=>[[1,3,5],[2,7],[4],[6]]=>11
[6,3,5,2,7,4,1]=>[[1,3,5],[2,6],[4],[7]]=>12
[6,3,5,4,1,2,7]=>[[1,3,7],[2,6],[4],[5]]=>9
[6,3,5,4,1,7,2]=>[[1,3,6],[2,7],[4],[5]]=>10
[6,3,5,4,2,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>13
[6,3,5,4,2,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>14
[6,3,5,4,7,1,2]=>[[1,3,5],[2,7],[4],[6]]=>11
[6,3,5,4,7,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>15
[6,3,5,7,1,2,4]=>[[1,3,4],[2,6,7],[5]]=>9
[6,3,5,7,1,4,2]=>[[1,3,4],[2,6],[5],[7]]=>13
[6,3,5,7,2,1,4]=>[[1,3,4],[2,7],[5],[6]]=>12
[6,3,5,7,2,4,1]=>[[1,3,4],[2,6],[5],[7]]=>13
[6,3,5,7,4,1,2]=>[[1,3,4],[2,7],[5],[6]]=>12
[6,3,5,7,4,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>16
[6,3,7,1,2,4,5]=>[[1,3,6,7],[2,5],[4]]=>5
[6,3,7,1,2,5,4]=>[[1,3,6],[2,5],[4,7]]=>8
[6,3,7,1,4,2,5]=>[[1,3,7],[2,5],[4,6]]=>7
[6,3,7,1,4,5,2]=>[[1,3,6],[2,5],[4,7]]=>8
[6,3,7,1,5,2,4]=>[[1,3,7],[2,5],[4,6]]=>7
[6,3,7,1,5,4,2]=>[[1,3],[2,5],[4,6],[7]]=>13
[6,3,7,2,1,4,5]=>[[1,3,7],[2,6],[4],[5]]=>9
[6,3,7,2,1,5,4]=>[[1,3],[2,6],[4,7],[5]]=>11
[6,3,7,2,4,1,5]=>[[1,3,7],[2,5],[4],[6]]=>10
[6,3,7,2,4,5,1]=>[[1,3,6],[2,5],[4],[7]]=>11
[6,3,7,2,5,1,4]=>[[1,3],[2,5],[4,7],[6]]=>12
[6,3,7,2,5,4,1]=>[[1,3],[2,5],[4,6],[7]]=>13
[6,3,7,4,1,2,5]=>[[1,3,7],[2,4],[5,6]]=>10
[6,3,7,4,1,5,2]=>[[1,3,6],[2,4],[5,7]]=>11
[6,3,7,4,2,1,5]=>[[1,3,7],[2,4],[5],[6]]=>11
[6,3,7,4,2,5,1]=>[[1,3,6],[2,4],[5],[7]]=>12
[6,3,7,4,5,1,2]=>[[1,3,5],[2,4],[6,7]]=>12
[6,3,7,4,5,2,1]=>[[1,3,5],[2,4],[6],[7]]=>13
[6,3,7,5,1,2,4]=>[[1,3,7],[2,4],[5,6]]=>10
[6,3,7,5,1,4,2]=>[[1,3],[2,4],[5,6],[7]]=>16
[6,3,7,5,2,1,4]=>[[1,3],[2,4],[5,7],[6]]=>15
[6,3,7,5,2,4,1]=>[[1,3],[2,4],[5,6],[7]]=>16
[6,3,7,5,4,1,2]=>[[1,3],[2,4],[5,7],[6]]=>15
[6,3,7,5,4,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>17
[6,4,1,2,3,5,7]=>[[1,4,5,6,7],[2],[3]]=>3
[6,4,1,2,3,7,5]=>[[1,4,5,6],[2,7],[3]]=>6
[6,4,1,2,5,3,7]=>[[1,4,5,7],[2,6],[3]]=>5
[6,4,1,2,5,7,3]=>[[1,4,5,6],[2,7],[3]]=>6
[6,4,1,2,7,3,5]=>[[1,4,5,7],[2,6],[3]]=>5
[6,4,1,2,7,5,3]=>[[1,4,5],[2,6],[3,7]]=>8
[6,4,1,3,2,5,7]=>[[1,4,6,7],[2],[3],[5]]=>7
[6,4,1,3,2,7,5]=>[[1,4,6],[2,7],[3],[5]]=>9
[6,4,1,3,5,2,7]=>[[1,4,5,7],[2],[3],[6]]=>8
[6,4,1,3,5,7,2]=>[[1,4,5,6],[2],[3],[7]]=>9
[6,4,1,3,7,2,5]=>[[1,4,5],[2,7],[3],[6]]=>10
[6,4,1,3,7,5,2]=>[[1,4,5],[2,6],[3],[7]]=>11
[6,4,1,5,2,3,7]=>[[1,4,6,7],[2,5],[3]]=>4
[6,4,1,5,2,7,3]=>[[1,4,6],[2,5,7],[3]]=>5
[6,4,1,5,3,2,7]=>[[1,4,7],[2,5],[3],[6]]=>9
[6,4,1,5,3,7,2]=>[[1,4,6],[2,5],[3],[7]]=>10
[6,4,1,5,7,2,3]=>[[1,4,5],[2,6,7],[3]]=>7
[6,4,1,5,7,3,2]=>[[1,4,5],[2,6],[3],[7]]=>11
[6,4,1,7,2,3,5]=>[[1,4,6,7],[2,5],[3]]=>4
[6,4,1,7,2,5,3]=>[[1,4,6],[2,5],[3,7]]=>7
[6,4,1,7,3,2,5]=>[[1,4,7],[2,5],[3],[6]]=>9
[6,4,1,7,3,5,2]=>[[1,4,6],[2,5],[3],[7]]=>10
[6,4,1,7,5,2,3]=>[[1,4,7],[2,5],[3,6]]=>6
[6,4,1,7,5,3,2]=>[[1,4],[2,5],[3,6],[7]]=>12
[6,4,2,1,3,5,7]=>[[1,5,6,7],[2],[3],[4]]=>6
[6,4,2,1,3,7,5]=>[[1,5,6],[2,7],[3],[4]]=>8
[6,4,2,1,5,3,7]=>[[1,5,7],[2,6],[3],[4]]=>7
[6,4,2,1,5,7,3]=>[[1,5,6],[2,7],[3],[4]]=>8
[6,4,2,1,7,3,5]=>[[1,5,7],[2,6],[3],[4]]=>7
[6,4,2,1,7,5,3]=>[[1,5],[2,6],[3,7],[4]]=>9
[6,4,2,3,1,5,7]=>[[1,4,6,7],[2],[3],[5]]=>7
[6,4,2,3,1,7,5]=>[[1,4,6],[2,7],[3],[5]]=>9
[6,4,2,3,5,1,7]=>[[1,4,5,7],[2],[3],[6]]=>8
[6,4,2,3,5,7,1]=>[[1,4,5,6],[2],[3],[7]]=>9
[6,4,2,3,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>10
[6,4,2,3,7,5,1]=>[[1,4,5],[2,6],[3],[7]]=>11
[6,4,2,5,1,3,7]=>[[1,4,7],[2,6],[3],[5]]=>8
[6,4,2,5,1,7,3]=>[[1,4,6],[2,7],[3],[5]]=>9
[6,4,2,5,3,1,7]=>[[1,4,7],[2,5],[3],[6]]=>9
[6,4,2,5,3,7,1]=>[[1,4,6],[2,5],[3],[7]]=>10
[6,4,2,5,7,1,3]=>[[1,4,5],[2,7],[3],[6]]=>10
[6,4,2,5,7,3,1]=>[[1,4,5],[2,6],[3],[7]]=>11
[6,4,2,7,1,3,5]=>[[1,4,7],[2,6],[3],[5]]=>8
[6,4,2,7,1,5,3]=>[[1,4],[2,6],[3,7],[5]]=>10
[6,4,2,7,3,1,5]=>[[1,4,7],[2,5],[3],[6]]=>9
[6,4,2,7,3,5,1]=>[[1,4,6],[2,5],[3],[7]]=>10
[6,4,2,7,5,1,3]=>[[1,4],[2,5],[3,7],[6]]=>11
[6,4,2,7,5,3,1]=>[[1,4],[2,5],[3,6],[7]]=>12
[6,4,3,1,2,5,7]=>[[1,5,6,7],[2],[3],[4]]=>6
[6,4,3,1,2,7,5]=>[[1,5,6],[2,7],[3],[4]]=>8
[6,4,3,1,5,2,7]=>[[1,5,7],[2,6],[3],[4]]=>7
[6,4,3,1,5,7,2]=>[[1,5,6],[2,7],[3],[4]]=>8
[6,4,3,1,7,2,5]=>[[1,5,7],[2,6],[3],[4]]=>7
[6,4,3,1,7,5,2]=>[[1,5],[2,6],[3,7],[4]]=>9
[6,4,3,2,1,5,7]=>[[1,6,7],[2],[3],[4],[5]]=>10
[6,4,3,2,1,7,5]=>[[1,6],[2,7],[3],[4],[5]]=>11
[6,4,3,2,5,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>11
[6,4,3,2,5,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>12
[6,4,3,2,7,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>12
[6,4,3,2,7,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>13
[6,4,3,5,1,2,7]=>[[1,4,7],[2,6],[3],[5]]=>8
[6,4,3,5,1,7,2]=>[[1,4,6],[2,7],[3],[5]]=>9
[6,4,3,5,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>12
[6,4,3,5,2,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>13
[6,4,3,5,7,1,2]=>[[1,4,5],[2,7],[3],[6]]=>10
[6,4,3,5,7,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>14
[6,4,3,7,1,2,5]=>[[1,4,7],[2,6],[3],[5]]=>8
[6,4,3,7,1,5,2]=>[[1,4],[2,6],[3,7],[5]]=>10
[6,4,3,7,2,1,5]=>[[1,4],[2,7],[3],[5],[6]]=>13
[6,4,3,7,2,5,1]=>[[1,4],[2,6],[3],[5],[7]]=>14
[6,4,3,7,5,1,2]=>[[1,4],[2,5],[3,7],[6]]=>11
[6,4,3,7,5,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>15
[6,4,5,1,2,3,7]=>[[1,3,6,7],[2,5],[4]]=>5
[6,4,5,1,2,7,3]=>[[1,3,6],[2,5,7],[4]]=>6
[6,4,5,1,3,2,7]=>[[1,3,7],[2,5],[4],[6]]=>10
[6,4,5,1,3,7,2]=>[[1,3,6],[2,5],[4],[7]]=>11
[6,4,5,1,7,2,3]=>[[1,3,5],[2,6,7],[4]]=>8
[6,4,5,1,7,3,2]=>[[1,3,5],[2,6],[4],[7]]=>12
[6,4,5,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>9
[6,4,5,2,1,7,3]=>[[1,3,6],[2,7],[4],[5]]=>10
[6,4,5,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>10
[6,4,5,2,3,7,1]=>[[1,3,6],[2,5],[4],[7]]=>11
[6,4,5,2,7,1,3]=>[[1,3,5],[2,7],[4],[6]]=>11
[6,4,5,2,7,3,1]=>[[1,3,5],[2,6],[4],[7]]=>12
[6,4,5,3,1,2,7]=>[[1,3,7],[2,6],[4],[5]]=>9
[6,4,5,3,1,7,2]=>[[1,3,6],[2,7],[4],[5]]=>10
[6,4,5,3,2,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>13
[6,4,5,3,2,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>14
[6,4,5,3,7,1,2]=>[[1,3,5],[2,7],[4],[6]]=>11
[6,4,5,3,7,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>15
[6,4,5,7,1,2,3]=>[[1,3,4],[2,6,7],[5]]=>9
[6,4,5,7,1,3,2]=>[[1,3,4],[2,6],[5],[7]]=>13
[6,4,5,7,2,1,3]=>[[1,3,4],[2,7],[5],[6]]=>12
[6,4,5,7,2,3,1]=>[[1,3,4],[2,6],[5],[7]]=>13
[6,4,5,7,3,1,2]=>[[1,3,4],[2,7],[5],[6]]=>12
[6,4,5,7,3,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>16
[6,4,7,1,2,3,5]=>[[1,3,6,7],[2,5],[4]]=>5
[6,4,7,1,2,5,3]=>[[1,3,6],[2,5],[4,7]]=>8
[6,4,7,1,3,2,5]=>[[1,3,7],[2,5],[4],[6]]=>10
[6,4,7,1,3,5,2]=>[[1,3,6],[2,5],[4],[7]]=>11
[6,4,7,1,5,2,3]=>[[1,3,7],[2,5],[4,6]]=>7
[6,4,7,1,5,3,2]=>[[1,3],[2,5],[4,6],[7]]=>13
[6,4,7,2,1,3,5]=>[[1,3,7],[2,6],[4],[5]]=>9
[6,4,7,2,1,5,3]=>[[1,3],[2,6],[4,7],[5]]=>11
[6,4,7,2,3,1,5]=>[[1,3,7],[2,5],[4],[6]]=>10
[6,4,7,2,3,5,1]=>[[1,3,6],[2,5],[4],[7]]=>11
[6,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>12
[6,4,7,2,5,3,1]=>[[1,3],[2,5],[4,6],[7]]=>13
[6,4,7,3,1,2,5]=>[[1,3,7],[2,6],[4],[5]]=>9
[6,4,7,3,1,5,2]=>[[1,3],[2,6],[4,7],[5]]=>11
[6,4,7,3,2,1,5]=>[[1,3],[2,7],[4],[5],[6]]=>14
[6,4,7,3,2,5,1]=>[[1,3],[2,6],[4],[5],[7]]=>15
[6,4,7,3,5,1,2]=>[[1,3],[2,5],[4,7],[6]]=>12
[6,4,7,3,5,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>16
[6,4,7,5,1,2,3]=>[[1,3,7],[2,4],[5,6]]=>10
[6,4,7,5,1,3,2]=>[[1,3],[2,4],[5,6],[7]]=>16
[6,4,7,5,2,1,3]=>[[1,3],[2,4],[5,7],[6]]=>15
[6,4,7,5,2,3,1]=>[[1,3],[2,4],[5,6],[7]]=>16
[6,4,7,5,3,1,2]=>[[1,3],[2,4],[5,7],[6]]=>15
[6,4,7,5,3,2,1]=>[[1,3],[2,4],[5],[6],[7]]=>17
[6,5,1,2,3,4,7]=>[[1,4,5,6,7],[2],[3]]=>3
[6,5,1,2,3,7,4]=>[[1,4,5,6],[2,7],[3]]=>6
[6,5,1,2,4,3,7]=>[[1,4,5,7],[2],[3],[6]]=>8
[6,5,1,2,4,7,3]=>[[1,4,5,6],[2],[3],[7]]=>9
[6,5,1,2,7,3,4]=>[[1,4,5,7],[2,6],[3]]=>5
[6,5,1,2,7,4,3]=>[[1,4,5],[2,6],[3],[7]]=>11
[6,5,1,3,2,4,7]=>[[1,4,6,7],[2],[3],[5]]=>7
[6,5,1,3,2,7,4]=>[[1,4,6],[2,7],[3],[5]]=>9
[6,5,1,3,4,2,7]=>[[1,4,5,7],[2],[3],[6]]=>8
[6,5,1,3,4,7,2]=>[[1,4,5,6],[2],[3],[7]]=>9
[6,5,1,3,7,2,4]=>[[1,4,5],[2,7],[3],[6]]=>10
[6,5,1,3,7,4,2]=>[[1,4,5],[2,6],[3],[7]]=>11
[6,5,1,4,2,3,7]=>[[1,4,6,7],[2],[3],[5]]=>7
[6,5,1,4,2,7,3]=>[[1,4,6],[2,7],[3],[5]]=>9
[6,5,1,4,3,2,7]=>[[1,4,7],[2],[3],[5],[6]]=>12
[6,5,1,4,3,7,2]=>[[1,4,6],[2],[3],[5],[7]]=>13
[6,5,1,4,7,2,3]=>[[1,4,5],[2,7],[3],[6]]=>10
[6,5,1,4,7,3,2]=>[[1,4,5],[2],[3],[6],[7]]=>14
[6,5,1,7,2,3,4]=>[[1,4,6,7],[2,5],[3]]=>4
[6,5,1,7,2,4,3]=>[[1,4,6],[2,5],[3],[7]]=>10
[6,5,1,7,3,2,4]=>[[1,4,7],[2,5],[3],[6]]=>9
[6,5,1,7,3,4,2]=>[[1,4,6],[2,5],[3],[7]]=>10
[6,5,1,7,4,2,3]=>[[1,4,7],[2,5],[3],[6]]=>9
[6,5,1,7,4,3,2]=>[[1,4],[2,5],[3],[6],[7]]=>15
[6,5,2,1,3,4,7]=>[[1,5,6,7],[2],[3],[4]]=>6
[6,5,2,1,3,7,4]=>[[1,5,6],[2,7],[3],[4]]=>8
[6,5,2,1,4,3,7]=>[[1,5,7],[2,6],[3],[4]]=>7
[6,5,2,1,4,7,3]=>[[1,5,6],[2,7],[3],[4]]=>8
[6,5,2,1,7,3,4]=>[[1,5,7],[2,6],[3],[4]]=>7
[6,5,2,1,7,4,3]=>[[1,5],[2,6],[3,7],[4]]=>9
[6,5,2,3,1,4,7]=>[[1,4,6,7],[2],[3],[5]]=>7
[6,5,2,3,1,7,4]=>[[1,4,6],[2,7],[3],[5]]=>9
[6,5,2,3,4,1,7]=>[[1,4,5,7],[2],[3],[6]]=>8
[6,5,2,3,4,7,1]=>[[1,4,5,6],[2],[3],[7]]=>9
[6,5,2,3,7,1,4]=>[[1,4,5],[2,7],[3],[6]]=>10
[6,5,2,3,7,4,1]=>[[1,4,5],[2,6],[3],[7]]=>11
[6,5,2,4,1,3,7]=>[[1,4,7],[2,6],[3],[5]]=>8
[6,5,2,4,1,7,3]=>[[1,4,6],[2,7],[3],[5]]=>9
[6,5,2,4,3,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>12
[6,5,2,4,3,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>13
[6,5,2,4,7,1,3]=>[[1,4,5],[2,7],[3],[6]]=>10
[6,5,2,4,7,3,1]=>[[1,4,5],[2],[3],[6],[7]]=>14
[6,5,2,7,1,3,4]=>[[1,4,7],[2,6],[3],[5]]=>8
[6,5,2,7,1,4,3]=>[[1,4],[2,6],[3,7],[5]]=>10
[6,5,2,7,3,1,4]=>[[1,4,7],[2,5],[3],[6]]=>9
[6,5,2,7,3,4,1]=>[[1,4,6],[2,5],[3],[7]]=>10
[6,5,2,7,4,1,3]=>[[1,4],[2,5],[3,7],[6]]=>11
[6,5,2,7,4,3,1]=>[[1,4],[2,5],[3],[6],[7]]=>15
[6,5,3,1,2,4,7]=>[[1,5,6,7],[2],[3],[4]]=>6
[6,5,3,1,2,7,4]=>[[1,5,6],[2,7],[3],[4]]=>8
[6,5,3,1,4,2,7]=>[[1,5,7],[2,6],[3],[4]]=>7
[6,5,3,1,4,7,2]=>[[1,5,6],[2,7],[3],[4]]=>8
[6,5,3,1,7,2,4]=>[[1,5,7],[2,6],[3],[4]]=>7
[6,5,3,1,7,4,2]=>[[1,5],[2,6],[3,7],[4]]=>9
[6,5,3,2,1,4,7]=>[[1,6,7],[2],[3],[4],[5]]=>10
[6,5,3,2,1,7,4]=>[[1,6],[2,7],[3],[4],[5]]=>11
[6,5,3,2,4,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>11
[6,5,3,2,4,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>12
[6,5,3,2,7,1,4]=>[[1,5],[2,7],[3],[4],[6]]=>12
[6,5,3,2,7,4,1]=>[[1,5],[2,6],[3],[4],[7]]=>13
[6,5,3,4,1,2,7]=>[[1,4,7],[2,6],[3],[5]]=>8
[6,5,3,4,1,7,2]=>[[1,4,6],[2,7],[3],[5]]=>9
[6,5,3,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>12
[6,5,3,4,2,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>13
[6,5,3,4,7,1,2]=>[[1,4,5],[2,7],[3],[6]]=>10
[6,5,3,4,7,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>14
[6,5,3,7,1,2,4]=>[[1,4,7],[2,6],[3],[5]]=>8
[6,5,3,7,1,4,2]=>[[1,4],[2,6],[3,7],[5]]=>10
[6,5,3,7,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>13
[6,5,3,7,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>14
[6,5,3,7,4,1,2]=>[[1,4],[2,5],[3,7],[6]]=>11
[6,5,3,7,4,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>15
[6,5,4,1,2,3,7]=>[[1,5,6,7],[2],[3],[4]]=>6
[6,5,4,1,2,7,3]=>[[1,5,6],[2,7],[3],[4]]=>8
[6,5,4,1,3,2,7]=>[[1,5,7],[2],[3],[4],[6]]=>11
[6,5,4,1,3,7,2]=>[[1,5,6],[2],[3],[4],[7]]=>12
[6,5,4,1,7,2,3]=>[[1,5,7],[2,6],[3],[4]]=>7
[6,5,4,1,7,3,2]=>[[1,5],[2,6],[3],[4],[7]]=>13
[6,5,4,2,1,3,7]=>[[1,6,7],[2],[3],[4],[5]]=>10
[6,5,4,2,1,7,3]=>[[1,6],[2,7],[3],[4],[5]]=>11
[6,5,4,2,3,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>11
[6,5,4,2,3,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>12
[6,5,4,2,7,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>12
[6,5,4,2,7,3,1]=>[[1,5],[2,6],[3],[4],[7]]=>13
[6,5,4,3,1,2,7]=>[[1,6,7],[2],[3],[4],[5]]=>10
[6,5,4,3,1,7,2]=>[[1,6],[2,7],[3],[4],[5]]=>11
[6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6]]=>15
[6,5,4,3,2,7,1]=>[[1,6],[2],[3],[4],[5],[7]]=>16
[6,5,4,3,7,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>12
[6,5,4,3,7,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>17
[6,5,4,7,1,2,3]=>[[1,4,7],[2,6],[3],[5]]=>8
[6,5,4,7,1,3,2]=>[[1,4],[2,6],[3],[5],[7]]=>14
[6,5,4,7,2,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>13
[6,5,4,7,2,3,1]=>[[1,4],[2,6],[3],[5],[7]]=>14
[6,5,4,7,3,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>13
[6,5,4,7,3,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>18
[6,5,7,1,2,3,4]=>[[1,3,6,7],[2,5],[4]]=>5
[6,5,7,1,2,4,3]=>[[1,3,6],[2,5],[4],[7]]=>11
[6,5,7,1,3,2,4]=>[[1,3,7],[2,5],[4],[6]]=>10
[6,5,7,1,3,4,2]=>[[1,3,6],[2,5],[4],[7]]=>11
[6,5,7,1,4,2,3]=>[[1,3,7],[2,5],[4],[6]]=>10
[6,5,7,1,4,3,2]=>[[1,3],[2,5],[4],[6],[7]]=>16
[6,5,7,2,1,3,4]=>[[1,3,7],[2,6],[4],[5]]=>9
[6,5,7,2,1,4,3]=>[[1,3],[2,6],[4,7],[5]]=>11
[6,5,7,2,3,1,4]=>[[1,3,7],[2,5],[4],[6]]=>10
[6,5,7,2,3,4,1]=>[[1,3,6],[2,5],[4],[7]]=>11
[6,5,7,2,4,1,3]=>[[1,3],[2,5],[4,7],[6]]=>12
[6,5,7,2,4,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>16
[6,5,7,3,1,2,4]=>[[1,3,7],[2,6],[4],[5]]=>9
[6,5,7,3,1,4,2]=>[[1,3],[2,6],[4,7],[5]]=>11
[6,5,7,3,2,1,4]=>[[1,3],[2,7],[4],[5],[6]]=>14
[6,5,7,3,2,4,1]=>[[1,3],[2,6],[4],[5],[7]]=>15
[6,5,7,3,4,1,2]=>[[1,3],[2,5],[4,7],[6]]=>12
[6,5,7,3,4,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>16
[6,5,7,4,1,2,3]=>[[1,3,7],[2,6],[4],[5]]=>9
[6,5,7,4,1,3,2]=>[[1,3],[2,6],[4],[5],[7]]=>15
[6,5,7,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>14
[6,5,7,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>15
[6,5,7,4,3,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>14
[6,5,7,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>19
[6,7,1,2,3,4,5]=>[[1,2,5,6,7],[3,4]]=>4
[6,7,1,2,3,5,4]=>[[1,2,5,6],[3,4],[7]]=>10
[6,7,1,2,4,3,5]=>[[1,2,5,7],[3,4],[6]]=>9
[6,7,1,2,4,5,3]=>[[1,2,5,6],[3,4],[7]]=>10
[6,7,1,2,5,3,4]=>[[1,2,5,7],[3,4],[6]]=>9
[6,7,1,2,5,4,3]=>[[1,2,5],[3,4],[6],[7]]=>15
[6,7,1,3,2,4,5]=>[[1,2,6,7],[3,4],[5]]=>8
[6,7,1,3,2,5,4]=>[[1,2,6],[3,4],[5,7]]=>13
[6,7,1,3,4,2,5]=>[[1,2,5,7],[3,4],[6]]=>9
[6,7,1,3,4,5,2]=>[[1,2,5,6],[3,4],[7]]=>10
[6,7,1,3,5,2,4]=>[[1,2,5],[3,4],[6,7]]=>14
[6,7,1,3,5,4,2]=>[[1,2,5],[3,4],[6],[7]]=>15
[6,7,1,4,2,3,5]=>[[1,2,6,7],[3,4],[5]]=>8
[6,7,1,4,2,5,3]=>[[1,2,6],[3,4],[5,7]]=>13
[6,7,1,4,3,2,5]=>[[1,2,7],[3,4],[5],[6]]=>13
[6,7,1,4,3,5,2]=>[[1,2,6],[3,4],[5],[7]]=>14
[6,7,1,4,5,2,3]=>[[1,2,5],[3,4],[6,7]]=>14
[6,7,1,4,5,3,2]=>[[1,2,5],[3,4],[6],[7]]=>15
[6,7,1,5,2,3,4]=>[[1,2,6,7],[3,4],[5]]=>8
[6,7,1,5,2,4,3]=>[[1,2,6],[3,4],[5],[7]]=>14
[6,7,1,5,3,2,4]=>[[1,2,7],[3,4],[5],[6]]=>13
[6,7,1,5,3,4,2]=>[[1,2,6],[3,4],[5],[7]]=>14
[6,7,1,5,4,2,3]=>[[1,2,7],[3,4],[5],[6]]=>13
[6,7,1,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7]]=>19
[6,7,2,1,3,4,5]=>[[1,2,6,7],[3,5],[4]]=>7
[6,7,2,1,3,5,4]=>[[1,2,6],[3,5],[4,7]]=>11
[6,7,2,1,4,3,5]=>[[1,2,7],[3,5],[4,6]]=>10
[6,7,2,1,4,5,3]=>[[1,2,6],[3,5],[4,7]]=>11
[6,7,2,1,5,3,4]=>[[1,2,7],[3,5],[4,6]]=>10
[6,7,2,1,5,4,3]=>[[1,2],[3,5],[4,6],[7]]=>16
[6,7,2,3,1,4,5]=>[[1,2,6,7],[3,4],[5]]=>8
[6,7,2,3,1,5,4]=>[[1,2,6],[3,4],[5,7]]=>13
[6,7,2,3,4,1,5]=>[[1,2,5,7],[3,4],[6]]=>9
[6,7,2,3,4,5,1]=>[[1,2,5,6],[3,4],[7]]=>10
[6,7,2,3,5,1,4]=>[[1,2,5],[3,4],[6,7]]=>14
[6,7,2,3,5,4,1]=>[[1,2,5],[3,4],[6],[7]]=>15
[6,7,2,4,1,3,5]=>[[1,2,7],[3,4],[5,6]]=>12
[6,7,2,4,1,5,3]=>[[1,2,6],[3,4],[5,7]]=>13
[6,7,2,4,3,1,5]=>[[1,2,7],[3,4],[5],[6]]=>13
[6,7,2,4,3,5,1]=>[[1,2,6],[3,4],[5],[7]]=>14
[6,7,2,4,5,1,3]=>[[1,2,5],[3,4],[6,7]]=>14
[6,7,2,4,5,3,1]=>[[1,2,5],[3,4],[6],[7]]=>15
[6,7,2,5,1,3,4]=>[[1,2,7],[3,4],[5,6]]=>12
[6,7,2,5,1,4,3]=>[[1,2],[3,4],[5,6],[7]]=>18
[6,7,2,5,3,1,4]=>[[1,2,7],[3,4],[5],[6]]=>13
[6,7,2,5,3,4,1]=>[[1,2,6],[3,4],[5],[7]]=>14
[6,7,2,5,4,1,3]=>[[1,2],[3,4],[5,7],[6]]=>17
[6,7,2,5,4,3,1]=>[[1,2],[3,4],[5],[6],[7]]=>19
[6,7,3,1,2,4,5]=>[[1,2,6,7],[3,5],[4]]=>7
[6,7,3,1,2,5,4]=>[[1,2,6],[3,5],[4,7]]=>11
[6,7,3,1,4,2,5]=>[[1,2,7],[3,5],[4,6]]=>10
[6,7,3,1,4,5,2]=>[[1,2,6],[3,5],[4,7]]=>11
[6,7,3,1,5,2,4]=>[[1,2,7],[3,5],[4,6]]=>10
[6,7,3,1,5,4,2]=>[[1,2],[3,5],[4,6],[7]]=>16
[6,7,3,2,1,4,5]=>[[1,2,7],[3,6],[4],[5]]=>11
[6,7,3,2,1,5,4]=>[[1,2],[3,6],[4,7],[5]]=>14
[6,7,3,2,4,1,5]=>[[1,2,7],[3,5],[4],[6]]=>12
[6,7,3,2,4,5,1]=>[[1,2,6],[3,5],[4],[7]]=>13
[6,7,3,2,5,1,4]=>[[1,2],[3,5],[4,7],[6]]=>15
[6,7,3,2,5,4,1]=>[[1,2],[3,5],[4,6],[7]]=>16
[6,7,3,4,1,2,5]=>[[1,2,7],[3,4],[5,6]]=>12
[6,7,3,4,1,5,2]=>[[1,2,6],[3,4],[5,7]]=>13
[6,7,3,4,2,1,5]=>[[1,2,7],[3,4],[5],[6]]=>13
[6,7,3,4,2,5,1]=>[[1,2,6],[3,4],[5],[7]]=>14
[6,7,3,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>14
[6,7,3,4,5,2,1]=>[[1,2,5],[3,4],[6],[7]]=>15
[6,7,3,5,1,2,4]=>[[1,2,7],[3,4],[5,6]]=>12
[6,7,3,5,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>18
[6,7,3,5,2,1,4]=>[[1,2],[3,4],[5,7],[6]]=>17
[6,7,3,5,2,4,1]=>[[1,2],[3,4],[5,6],[7]]=>18
[6,7,3,5,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>17
[6,7,3,5,4,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>19
[6,7,4,1,2,3,5]=>[[1,2,6,7],[3,5],[4]]=>7
[6,7,4,1,2,5,3]=>[[1,2,6],[3,5],[4,7]]=>11
[6,7,4,1,3,2,5]=>[[1,2,7],[3,5],[4],[6]]=>12
[6,7,4,1,3,5,2]=>[[1,2,6],[3,5],[4],[7]]=>13
[6,7,4,1,5,2,3]=>[[1,2,7],[3,5],[4,6]]=>10
[6,7,4,1,5,3,2]=>[[1,2],[3,5],[4,6],[7]]=>16
[6,7,4,2,1,3,5]=>[[1,2,7],[3,6],[4],[5]]=>11
[6,7,4,2,1,5,3]=>[[1,2],[3,6],[4,7],[5]]=>14
[6,7,4,2,3,1,5]=>[[1,2,7],[3,5],[4],[6]]=>12
[6,7,4,2,3,5,1]=>[[1,2,6],[3,5],[4],[7]]=>13
[6,7,4,2,5,1,3]=>[[1,2],[3,5],[4,7],[6]]=>15
[6,7,4,2,5,3,1]=>[[1,2],[3,5],[4,6],[7]]=>16
[6,7,4,3,1,2,5]=>[[1,2,7],[3,6],[4],[5]]=>11
[6,7,4,3,1,5,2]=>[[1,2],[3,6],[4,7],[5]]=>14
[6,7,4,3,2,1,5]=>[[1,2],[3,7],[4],[5],[6]]=>16
[6,7,4,3,2,5,1]=>[[1,2],[3,6],[4],[5],[7]]=>17
[6,7,4,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>15
[6,7,4,3,5,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>18
[6,7,4,5,1,2,3]=>[[1,2,7],[3,4],[5,6]]=>12
[6,7,4,5,1,3,2]=>[[1,2],[3,4],[5,6],[7]]=>18
[6,7,4,5,2,1,3]=>[[1,2],[3,4],[5,7],[6]]=>17
[6,7,4,5,2,3,1]=>[[1,2],[3,4],[5,6],[7]]=>18
[6,7,4,5,3,1,2]=>[[1,2],[3,4],[5,7],[6]]=>17
[6,7,4,5,3,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>19
[6,7,5,1,2,3,4]=>[[1,2,6,7],[3,5],[4]]=>7
[6,7,5,1,2,4,3]=>[[1,2,6],[3,5],[4],[7]]=>13
[6,7,5,1,3,2,4]=>[[1,2,7],[3,5],[4],[6]]=>12
[6,7,5,1,3,4,2]=>[[1,2,6],[3,5],[4],[7]]=>13
[6,7,5,1,4,2,3]=>[[1,2,7],[3,5],[4],[6]]=>12
[6,7,5,1,4,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>18
[6,7,5,2,1,3,4]=>[[1,2,7],[3,6],[4],[5]]=>11
[6,7,5,2,1,4,3]=>[[1,2],[3,6],[4,7],[5]]=>14
[6,7,5,2,3,1,4]=>[[1,2,7],[3,5],[4],[6]]=>12
[6,7,5,2,3,4,1]=>[[1,2,6],[3,5],[4],[7]]=>13
[6,7,5,2,4,1,3]=>[[1,2],[3,5],[4,7],[6]]=>15
[6,7,5,2,4,3,1]=>[[1,2],[3,5],[4],[6],[7]]=>18
[6,7,5,3,1,2,4]=>[[1,2,7],[3,6],[4],[5]]=>11
[6,7,5,3,1,4,2]=>[[1,2],[3,6],[4,7],[5]]=>14
[6,7,5,3,2,1,4]=>[[1,2],[3,7],[4],[5],[6]]=>16
[6,7,5,3,2,4,1]=>[[1,2],[3,6],[4],[5],[7]]=>17
[6,7,5,3,4,1,2]=>[[1,2],[3,5],[4,7],[6]]=>15
[6,7,5,3,4,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>18
[6,7,5,4,1,2,3]=>[[1,2,7],[3,6],[4],[5]]=>11
[6,7,5,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>17
[6,7,5,4,2,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>16
[6,7,5,4,2,3,1]=>[[1,2],[3,6],[4],[5],[7]]=>17
[6,7,5,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>16
[6,7,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>20
[7,1,2,3,4,5,6]=>[[1,3,4,5,6,7],[2]]=>1
[7,1,2,3,4,6,5]=>[[1,3,4,5,6],[2],[7]]=>7
[7,1,2,3,5,4,6]=>[[1,3,4,5,7],[2],[6]]=>6
[7,1,2,3,5,6,4]=>[[1,3,4,5,6],[2],[7]]=>7
[7,1,2,3,6,4,5]=>[[1,3,4,5,7],[2],[6]]=>6
[7,1,2,3,6,5,4]=>[[1,3,4,5],[2],[6],[7]]=>12
[7,1,2,4,3,5,6]=>[[1,3,4,6,7],[2],[5]]=>5
[7,1,2,4,3,6,5]=>[[1,3,4,6],[2,7],[5]]=>8
[7,1,2,4,5,3,6]=>[[1,3,4,5,7],[2],[6]]=>6
[7,1,2,4,5,6,3]=>[[1,3,4,5,6],[2],[7]]=>7
[7,1,2,4,6,3,5]=>[[1,3,4,5],[2,7],[6]]=>9
[7,1,2,4,6,5,3]=>[[1,3,4,5],[2],[6],[7]]=>12
[7,1,2,5,3,4,6]=>[[1,3,4,6,7],[2],[5]]=>5
[7,1,2,5,3,6,4]=>[[1,3,4,6],[2,7],[5]]=>8
[7,1,2,5,4,3,6]=>[[1,3,4,7],[2],[5],[6]]=>10
[7,1,2,5,4,6,3]=>[[1,3,4,6],[2],[5],[7]]=>11
[7,1,2,5,6,3,4]=>[[1,3,4,5],[2,7],[6]]=>9
[7,1,2,5,6,4,3]=>[[1,3,4,5],[2],[6],[7]]=>12
[7,1,2,6,3,4,5]=>[[1,3,4,6,7],[2],[5]]=>5
[7,1,2,6,3,5,4]=>[[1,3,4,6],[2],[5],[7]]=>11
[7,1,2,6,4,3,5]=>[[1,3,4,7],[2],[5],[6]]=>10
[7,1,2,6,4,5,3]=>[[1,3,4,6],[2],[5],[7]]=>11
[7,1,2,6,5,3,4]=>[[1,3,4,7],[2],[5],[6]]=>10
[7,1,2,6,5,4,3]=>[[1,3,4],[2],[5],[6],[7]]=>16
[7,1,3,2,4,5,6]=>[[1,3,5,6,7],[2],[4]]=>4
[7,1,3,2,4,6,5]=>[[1,3,5,6],[2,7],[4]]=>7
[7,1,3,2,5,4,6]=>[[1,3,5,7],[2,6],[4]]=>6
[7,1,3,2,5,6,4]=>[[1,3,5,6],[2,7],[4]]=>7
[7,1,3,2,6,4,5]=>[[1,3,5,7],[2,6],[4]]=>6
[7,1,3,2,6,5,4]=>[[1,3,5],[2,6],[4],[7]]=>12
[7,1,3,4,2,5,6]=>[[1,3,4,6,7],[2],[5]]=>5
[7,1,3,4,2,6,5]=>[[1,3,4,6],[2,7],[5]]=>8
[7,1,3,4,5,2,6]=>[[1,3,4,5,7],[2],[6]]=>6
[7,1,3,4,5,6,2]=>[[1,3,4,5,6],[2],[7]]=>7
[7,1,3,4,6,2,5]=>[[1,3,4,5],[2,7],[6]]=>9
[7,1,3,4,6,5,2]=>[[1,3,4,5],[2],[6],[7]]=>12
[7,1,3,5,2,4,6]=>[[1,3,4,7],[2,6],[5]]=>7
[7,1,3,5,2,6,4]=>[[1,3,4,6],[2,7],[5]]=>8
[7,1,3,5,4,2,6]=>[[1,3,4,7],[2],[5],[6]]=>10
[7,1,3,5,4,6,2]=>[[1,3,4,6],[2],[5],[7]]=>11
[7,1,3,5,6,2,4]=>[[1,3,4,5],[2,7],[6]]=>9
[7,1,3,5,6,4,2]=>[[1,3,4,5],[2],[6],[7]]=>12
[7,1,3,6,2,4,5]=>[[1,3,4,7],[2,6],[5]]=>7
[7,1,3,6,2,5,4]=>[[1,3,4],[2,6],[5],[7]]=>13
[7,1,3,6,4,2,5]=>[[1,3,4,7],[2],[5],[6]]=>10
[7,1,3,6,4,5,2]=>[[1,3,4,6],[2],[5],[7]]=>11
[7,1,3,6,5,2,4]=>[[1,3,4],[2,7],[5],[6]]=>12
[7,1,3,6,5,4,2]=>[[1,3,4],[2],[5],[6],[7]]=>16
[7,1,4,2,3,5,6]=>[[1,3,5,6,7],[2],[4]]=>4
[7,1,4,2,3,6,5]=>[[1,3,5,6],[2,7],[4]]=>7
[7,1,4,2,5,3,6]=>[[1,3,5,7],[2,6],[4]]=>6
[7,1,4,2,5,6,3]=>[[1,3,5,6],[2,7],[4]]=>7
[7,1,4,2,6,3,5]=>[[1,3,5,7],[2,6],[4]]=>6
[7,1,4,2,6,5,3]=>[[1,3,5],[2,6],[4],[7]]=>12
[7,1,4,3,2,5,6]=>[[1,3,6,7],[2],[4],[5]]=>8
[7,1,4,3,2,6,5]=>[[1,3,6],[2,7],[4],[5]]=>10
[7,1,4,3,5,2,6]=>[[1,3,5,7],[2],[4],[6]]=>9
[7,1,4,3,5,6,2]=>[[1,3,5,6],[2],[4],[7]]=>10
[7,1,4,3,6,2,5]=>[[1,3,5],[2,7],[4],[6]]=>11
[7,1,4,3,6,5,2]=>[[1,3,5],[2,6],[4],[7]]=>12
[7,1,4,5,2,3,6]=>[[1,3,4,7],[2,6],[5]]=>7
[7,1,4,5,2,6,3]=>[[1,3,4,6],[2,7],[5]]=>8
[7,1,4,5,3,2,6]=>[[1,3,4,7],[2],[5],[6]]=>10
[7,1,4,5,3,6,2]=>[[1,3,4,6],[2],[5],[7]]=>11
[7,1,4,5,6,2,3]=>[[1,3,4,5],[2,7],[6]]=>9
[7,1,4,5,6,3,2]=>[[1,3,4,5],[2],[6],[7]]=>12
[7,1,4,6,2,3,5]=>[[1,3,4,7],[2,6],[5]]=>7
[7,1,4,6,2,5,3]=>[[1,3,4],[2,6],[5],[7]]=>13
[7,1,4,6,3,2,5]=>[[1,3,4],[2,7],[5],[6]]=>12
[7,1,4,6,3,5,2]=>[[1,3,4],[2,6],[5],[7]]=>13
[7,1,4,6,5,2,3]=>[[1,3,4],[2,7],[5],[6]]=>12
[7,1,4,6,5,3,2]=>[[1,3,4],[2],[5],[6],[7]]=>16
[7,1,5,2,3,4,6]=>[[1,3,5,6,7],[2],[4]]=>4
[7,1,5,2,3,6,4]=>[[1,3,5,6],[2,7],[4]]=>7
[7,1,5,2,4,3,6]=>[[1,3,5,7],[2],[4],[6]]=>9
[7,1,5,2,4,6,3]=>[[1,3,5,6],[2],[4],[7]]=>10
[7,1,5,2,6,3,4]=>[[1,3,5,7],[2,6],[4]]=>6
[7,1,5,2,6,4,3]=>[[1,3,5],[2,6],[4],[7]]=>12
[7,1,5,3,2,4,6]=>[[1,3,6,7],[2],[4],[5]]=>8
[7,1,5,3,2,6,4]=>[[1,3,6],[2,7],[4],[5]]=>10
[7,1,5,3,4,2,6]=>[[1,3,5,7],[2],[4],[6]]=>9
[7,1,5,3,4,6,2]=>[[1,3,5,6],[2],[4],[7]]=>10
[7,1,5,3,6,2,4]=>[[1,3,5],[2,7],[4],[6]]=>11
[7,1,5,3,6,4,2]=>[[1,3,5],[2,6],[4],[7]]=>12
[7,1,5,4,2,3,6]=>[[1,3,6,7],[2],[4],[5]]=>8
[7,1,5,4,2,6,3]=>[[1,3,6],[2,7],[4],[5]]=>10
[7,1,5,4,3,2,6]=>[[1,3,7],[2],[4],[5],[6]]=>13
[7,1,5,4,3,6,2]=>[[1,3,6],[2],[4],[5],[7]]=>14
[7,1,5,4,6,2,3]=>[[1,3,5],[2,7],[4],[6]]=>11
[7,1,5,4,6,3,2]=>[[1,3,5],[2],[4],[6],[7]]=>15
[7,1,5,6,2,3,4]=>[[1,3,4,7],[2,6],[5]]=>7
[7,1,5,6,2,4,3]=>[[1,3,4],[2,6],[5],[7]]=>13
[7,1,5,6,3,2,4]=>[[1,3,4],[2,7],[5],[6]]=>12
[7,1,5,6,3,4,2]=>[[1,3,4],[2,6],[5],[7]]=>13
[7,1,5,6,4,2,3]=>[[1,3,4],[2,7],[5],[6]]=>12
[7,1,5,6,4,3,2]=>[[1,3,4],[2],[5],[6],[7]]=>16
[7,1,6,2,3,4,5]=>[[1,3,5,6,7],[2],[4]]=>4
[7,1,6,2,3,5,4]=>[[1,3,5,6],[2],[4],[7]]=>10
[7,1,6,2,4,3,5]=>[[1,3,5,7],[2],[4],[6]]=>9
[7,1,6,2,4,5,3]=>[[1,3,5,6],[2],[4],[7]]=>10
[7,1,6,2,5,3,4]=>[[1,3,5,7],[2],[4],[6]]=>9
[7,1,6,2,5,4,3]=>[[1,3,5],[2],[4],[6],[7]]=>15
[7,1,6,3,2,4,5]=>[[1,3,6,7],[2],[4],[5]]=>8
[7,1,6,3,2,5,4]=>[[1,3,6],[2,7],[4],[5]]=>10
[7,1,6,3,4,2,5]=>[[1,3,5,7],[2],[4],[6]]=>9
[7,1,6,3,4,5,2]=>[[1,3,5,6],[2],[4],[7]]=>10
[7,1,6,3,5,2,4]=>[[1,3,5],[2,7],[4],[6]]=>11
[7,1,6,3,5,4,2]=>[[1,3,5],[2],[4],[6],[7]]=>15
[7,1,6,4,2,3,5]=>[[1,3,6,7],[2],[4],[5]]=>8
[7,1,6,4,2,5,3]=>[[1,3,6],[2,7],[4],[5]]=>10
[7,1,6,4,3,2,5]=>[[1,3,7],[2],[4],[5],[6]]=>13
[7,1,6,4,3,5,2]=>[[1,3,6],[2],[4],[5],[7]]=>14
[7,1,6,4,5,2,3]=>[[1,3,5],[2,7],[4],[6]]=>11
[7,1,6,4,5,3,2]=>[[1,3,5],[2],[4],[6],[7]]=>15
[7,1,6,5,2,3,4]=>[[1,3,6,7],[2],[4],[5]]=>8
[7,1,6,5,2,4,3]=>[[1,3,6],[2],[4],[5],[7]]=>14
[7,1,6,5,3,2,4]=>[[1,3,7],[2],[4],[5],[6]]=>13
[7,1,6,5,3,4,2]=>[[1,3,6],[2],[4],[5],[7]]=>14
[7,1,6,5,4,2,3]=>[[1,3,7],[2],[4],[5],[6]]=>13
[7,1,6,5,4,3,2]=>[[1,3],[2],[4],[5],[6],[7]]=>19
[7,2,1,3,4,5,6]=>[[1,4,5,6,7],[2],[3]]=>3
[7,2,1,3,4,6,5]=>[[1,4,5,6],[2,7],[3]]=>6
[7,2,1,3,5,4,6]=>[[1,4,5,7],[2,6],[3]]=>5
[7,2,1,3,5,6,4]=>[[1,4,5,6],[2,7],[3]]=>6
[7,2,1,3,6,4,5]=>[[1,4,5,7],[2,6],[3]]=>5
[7,2,1,3,6,5,4]=>[[1,4,5],[2,6],[3],[7]]=>11
[7,2,1,4,3,5,6]=>[[1,4,6,7],[2,5],[3]]=>4
[7,2,1,4,3,6,5]=>[[1,4,6],[2,5,7],[3]]=>5
[7,2,1,4,5,3,6]=>[[1,4,5,7],[2,6],[3]]=>5
[7,2,1,4,5,6,3]=>[[1,4,5,6],[2,7],[3]]=>6
[7,2,1,4,6,3,5]=>[[1,4,5],[2,6,7],[3]]=>7
[7,2,1,4,6,5,3]=>[[1,4,5],[2,6],[3],[7]]=>11
[7,2,1,5,3,4,6]=>[[1,4,6,7],[2,5],[3]]=>4
[7,2,1,5,3,6,4]=>[[1,4,6],[2,5,7],[3]]=>5
[7,2,1,5,4,3,6]=>[[1,4,7],[2,5],[3],[6]]=>9
[7,2,1,5,4,6,3]=>[[1,4,6],[2,5],[3],[7]]=>10
[7,2,1,5,6,3,4]=>[[1,4,5],[2,6,7],[3]]=>7
[7,2,1,5,6,4,3]=>[[1,4,5],[2,6],[3],[7]]=>11
[7,2,1,6,3,4,5]=>[[1,4,6,7],[2,5],[3]]=>4
[7,2,1,6,3,5,4]=>[[1,4,6],[2,5],[3],[7]]=>10
[7,2,1,6,4,3,5]=>[[1,4,7],[2,5],[3],[6]]=>9
[7,2,1,6,4,5,3]=>[[1,4,6],[2,5],[3],[7]]=>10
[7,2,1,6,5,3,4]=>[[1,4,7],[2,5],[3],[6]]=>9
[7,2,1,6,5,4,3]=>[[1,4],[2,5],[3],[6],[7]]=>15
[7,2,3,1,4,5,6]=>[[1,3,5,6,7],[2],[4]]=>4
[7,2,3,1,4,6,5]=>[[1,3,5,6],[2,7],[4]]=>7
[7,2,3,1,5,4,6]=>[[1,3,5,7],[2,6],[4]]=>6
[7,2,3,1,5,6,4]=>[[1,3,5,6],[2,7],[4]]=>7
[7,2,3,1,6,4,5]=>[[1,3,5,7],[2,6],[4]]=>6
[7,2,3,1,6,5,4]=>[[1,3,5],[2,6],[4],[7]]=>12
[7,2,3,4,1,5,6]=>[[1,3,4,6,7],[2],[5]]=>5
[7,2,3,4,1,6,5]=>[[1,3,4,6],[2,7],[5]]=>8
[7,2,3,4,5,1,6]=>[[1,3,4,5,7],[2],[6]]=>6
[7,2,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7]]=>7
[7,2,3,4,6,1,5]=>[[1,3,4,5],[2,7],[6]]=>9
[7,2,3,4,6,5,1]=>[[1,3,4,5],[2],[6],[7]]=>12
[7,2,3,5,1,4,6]=>[[1,3,4,7],[2,6],[5]]=>7
[7,2,3,5,1,6,4]=>[[1,3,4,6],[2,7],[5]]=>8
[7,2,3,5,4,1,6]=>[[1,3,4,7],[2],[5],[6]]=>10
[7,2,3,5,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>11
[7,2,3,5,6,1,4]=>[[1,3,4,5],[2,7],[6]]=>9
[7,2,3,5,6,4,1]=>[[1,3,4,5],[2],[6],[7]]=>12
[7,2,3,6,1,4,5]=>[[1,3,4,7],[2,6],[5]]=>7
[7,2,3,6,1,5,4]=>[[1,3,4],[2,6],[5],[7]]=>13
[7,2,3,6,4,1,5]=>[[1,3,4,7],[2],[5],[6]]=>10
[7,2,3,6,4,5,1]=>[[1,3,4,6],[2],[5],[7]]=>11
[7,2,3,6,5,1,4]=>[[1,3,4],[2,7],[5],[6]]=>12
[7,2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>16
[7,2,4,1,3,5,6]=>[[1,3,6,7],[2,5],[4]]=>5
[7,2,4,1,3,6,5]=>[[1,3,6],[2,5,7],[4]]=>6
[7,2,4,1,5,3,6]=>[[1,3,5,7],[2,6],[4]]=>6
[7,2,4,1,5,6,3]=>[[1,3,5,6],[2,7],[4]]=>7
[7,2,4,1,6,3,5]=>[[1,3,5],[2,6,7],[4]]=>8
[7,2,4,1,6,5,3]=>[[1,3,5],[2,6],[4],[7]]=>12
[7,2,4,3,1,5,6]=>[[1,3,6,7],[2],[4],[5]]=>8
[7,2,4,3,1,6,5]=>[[1,3,6],[2,7],[4],[5]]=>10
[7,2,4,3,5,1,6]=>[[1,3,5,7],[2],[4],[6]]=>9
[7,2,4,3,5,6,1]=>[[1,3,5,6],[2],[4],[7]]=>10
[7,2,4,3,6,1,5]=>[[1,3,5],[2,7],[4],[6]]=>11
[7,2,4,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>12
[7,2,4,5,1,3,6]=>[[1,3,4,7],[2,6],[5]]=>7
[7,2,4,5,1,6,3]=>[[1,3,4,6],[2,7],[5]]=>8
[7,2,4,5,3,1,6]=>[[1,3,4,7],[2],[5],[6]]=>10
[7,2,4,5,3,6,1]=>[[1,3,4,6],[2],[5],[7]]=>11
[7,2,4,5,6,1,3]=>[[1,3,4,5],[2,7],[6]]=>9
[7,2,4,5,6,3,1]=>[[1,3,4,5],[2],[6],[7]]=>12
[7,2,4,6,1,3,5]=>[[1,3,4],[2,6,7],[5]]=>9
[7,2,4,6,1,5,3]=>[[1,3,4],[2,6],[5],[7]]=>13
[7,2,4,6,3,1,5]=>[[1,3,4],[2,7],[5],[6]]=>12
[7,2,4,6,3,5,1]=>[[1,3,4],[2,6],[5],[7]]=>13
[7,2,4,6,5,1,3]=>[[1,3,4],[2,7],[5],[6]]=>12
[7,2,4,6,5,3,1]=>[[1,3,4],[2],[5],[6],[7]]=>16
[7,2,5,1,3,4,6]=>[[1,3,6,7],[2,5],[4]]=>5
[7,2,5,1,3,6,4]=>[[1,3,6],[2,5,7],[4]]=>6
[7,2,5,1,4,3,6]=>[[1,3,7],[2,5],[4],[6]]=>10
[7,2,5,1,4,6,3]=>[[1,3,6],[2,5],[4],[7]]=>11
[7,2,5,1,6,3,4]=>[[1,3,5],[2,6,7],[4]]=>8
[7,2,5,1,6,4,3]=>[[1,3,5],[2,6],[4],[7]]=>12
[7,2,5,3,1,4,6]=>[[1,3,6,7],[2],[4],[5]]=>8
[7,2,5,3,1,6,4]=>[[1,3,6],[2,7],[4],[5]]=>10
[7,2,5,3,4,1,6]=>[[1,3,5,7],[2],[4],[6]]=>9
[7,2,5,3,4,6,1]=>[[1,3,5,6],[2],[4],[7]]=>10
[7,2,5,3,6,1,4]=>[[1,3,5],[2,7],[4],[6]]=>11
[7,2,5,3,6,4,1]=>[[1,3,5],[2,6],[4],[7]]=>12
[7,2,5,4,1,3,6]=>[[1,3,7],[2,6],[4],[5]]=>9
[7,2,5,4,1,6,3]=>[[1,3,6],[2,7],[4],[5]]=>10
[7,2,5,4,3,1,6]=>[[1,3,7],[2],[4],[5],[6]]=>13
[7,2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>14
[7,2,5,4,6,1,3]=>[[1,3,5],[2,7],[4],[6]]=>11
[7,2,5,4,6,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>15
[7,2,5,6,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>9
[7,2,5,6,1,4,3]=>[[1,3,4],[2,6],[5],[7]]=>13
[7,2,5,6,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>12
[7,2,5,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>13
[7,2,5,6,4,1,3]=>[[1,3,4],[2,7],[5],[6]]=>12
[7,2,5,6,4,3,1]=>[[1,3,4],[2],[5],[6],[7]]=>16
[7,2,6,1,3,4,5]=>[[1,3,6,7],[2,5],[4]]=>5
[7,2,6,1,3,5,4]=>[[1,3,6],[2,5],[4],[7]]=>11
[7,2,6,1,4,3,5]=>[[1,3,7],[2,5],[4],[6]]=>10
[7,2,6,1,4,5,3]=>[[1,3,6],[2,5],[4],[7]]=>11
[7,2,6,1,5,3,4]=>[[1,3,7],[2,5],[4],[6]]=>10
[7,2,6,1,5,4,3]=>[[1,3],[2,5],[4],[6],[7]]=>16
[7,2,6,3,1,4,5]=>[[1,3,6,7],[2],[4],[5]]=>8
[7,2,6,3,1,5,4]=>[[1,3,6],[2,7],[4],[5]]=>10
[7,2,6,3,4,1,5]=>[[1,3,5,7],[2],[4],[6]]=>9
[7,2,6,3,4,5,1]=>[[1,3,5,6],[2],[4],[7]]=>10
[7,2,6,3,5,1,4]=>[[1,3,5],[2,7],[4],[6]]=>11
[7,2,6,3,5,4,1]=>[[1,3,5],[2],[4],[6],[7]]=>15
[7,2,6,4,1,3,5]=>[[1,3,7],[2,6],[4],[5]]=>9
[7,2,6,4,1,5,3]=>[[1,3,6],[2,7],[4],[5]]=>10
[7,2,6,4,3,1,5]=>[[1,3,7],[2],[4],[5],[6]]=>13
[7,2,6,4,3,5,1]=>[[1,3,6],[2],[4],[5],[7]]=>14
[7,2,6,4,5,1,3]=>[[1,3,5],[2,7],[4],[6]]=>11
[7,2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>15
[7,2,6,5,1,3,4]=>[[1,3,7],[2,6],[4],[5]]=>9
[7,2,6,5,1,4,3]=>[[1,3],[2,6],[4],[5],[7]]=>15
[7,2,6,5,3,1,4]=>[[1,3,7],[2],[4],[5],[6]]=>13
[7,2,6,5,3,4,1]=>[[1,3,6],[2],[4],[5],[7]]=>14
[7,2,6,5,4,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>14
[7,2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>19
[7,3,1,2,4,5,6]=>[[1,4,5,6,7],[2],[3]]=>3
[7,3,1,2,4,6,5]=>[[1,4,5,6],[2,7],[3]]=>6
[7,3,1,2,5,4,6]=>[[1,4,5,7],[2,6],[3]]=>5
[7,3,1,2,5,6,4]=>[[1,4,5,6],[2,7],[3]]=>6
[7,3,1,2,6,4,5]=>[[1,4,5,7],[2,6],[3]]=>5
[7,3,1,2,6,5,4]=>[[1,4,5],[2,6],[3],[7]]=>11
[7,3,1,4,2,5,6]=>[[1,4,6,7],[2,5],[3]]=>4
[7,3,1,4,2,6,5]=>[[1,4,6],[2,5,7],[3]]=>5
[7,3,1,4,5,2,6]=>[[1,4,5,7],[2,6],[3]]=>5
[7,3,1,4,5,6,2]=>[[1,4,5,6],[2,7],[3]]=>6
[7,3,1,4,6,2,5]=>[[1,4,5],[2,6,7],[3]]=>7
[7,3,1,4,6,5,2]=>[[1,4,5],[2,6],[3],[7]]=>11
[7,3,1,5,2,4,6]=>[[1,4,6,7],[2,5],[3]]=>4
[7,3,1,5,2,6,4]=>[[1,4,6],[2,5,7],[3]]=>5
[7,3,1,5,4,2,6]=>[[1,4,7],[2,5],[3],[6]]=>9
[7,3,1,5,4,6,2]=>[[1,4,6],[2,5],[3],[7]]=>10
[7,3,1,5,6,2,4]=>[[1,4,5],[2,6,7],[3]]=>7
[7,3,1,5,6,4,2]=>[[1,4,5],[2,6],[3],[7]]=>11
[7,3,1,6,2,4,5]=>[[1,4,6,7],[2,5],[3]]=>4
[7,3,1,6,2,5,4]=>[[1,4,6],[2,5],[3],[7]]=>10
[7,3,1,6,4,2,5]=>[[1,4,7],[2,5],[3],[6]]=>9
[7,3,1,6,4,5,2]=>[[1,4,6],[2,5],[3],[7]]=>10
[7,3,1,6,5,2,4]=>[[1,4,7],[2,5],[3],[6]]=>9
[7,3,1,6,5,4,2]=>[[1,4],[2,5],[3],[6],[7]]=>15
[7,3,2,1,4,5,6]=>[[1,5,6,7],[2],[3],[4]]=>6
[7,3,2,1,4,6,5]=>[[1,5,6],[2,7],[3],[4]]=>8
[7,3,2,1,5,4,6]=>[[1,5,7],[2,6],[3],[4]]=>7
[7,3,2,1,5,6,4]=>[[1,5,6],[2,7],[3],[4]]=>8
[7,3,2,1,6,4,5]=>[[1,5,7],[2,6],[3],[4]]=>7
[7,3,2,1,6,5,4]=>[[1,5],[2,6],[3,7],[4]]=>9
[7,3,2,4,1,5,6]=>[[1,4,6,7],[2],[3],[5]]=>7
[7,3,2,4,1,6,5]=>[[1,4,6],[2,7],[3],[5]]=>9
[7,3,2,4,5,1,6]=>[[1,4,5,7],[2],[3],[6]]=>8
[7,3,2,4,5,6,1]=>[[1,4,5,6],[2],[3],[7]]=>9
[7,3,2,4,6,1,5]=>[[1,4,5],[2,7],[3],[6]]=>10
[7,3,2,4,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>11
[7,3,2,5,1,4,6]=>[[1,4,7],[2,6],[3],[5]]=>8
[7,3,2,5,1,6,4]=>[[1,4,6],[2,7],[3],[5]]=>9
[7,3,2,5,4,1,6]=>[[1,4,7],[2,5],[3],[6]]=>9
[7,3,2,5,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>10
[7,3,2,5,6,1,4]=>[[1,4,5],[2,7],[3],[6]]=>10
[7,3,2,5,6,4,1]=>[[1,4,5],[2,6],[3],[7]]=>11
[7,3,2,6,1,4,5]=>[[1,4,7],[2,6],[3],[5]]=>8
[7,3,2,6,1,5,4]=>[[1,4],[2,6],[3,7],[5]]=>10
[7,3,2,6,4,1,5]=>[[1,4,7],[2,5],[3],[6]]=>9
[7,3,2,6,4,5,1]=>[[1,4,6],[2,5],[3],[7]]=>10
[7,3,2,6,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>11
[7,3,2,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7]]=>15
[7,3,4,1,2,5,6]=>[[1,3,6,7],[2,5],[4]]=>5
[7,3,4,1,2,6,5]=>[[1,3,6],[2,5,7],[4]]=>6
[7,3,4,1,5,2,6]=>[[1,3,5,7],[2,6],[4]]=>6
[7,3,4,1,5,6,2]=>[[1,3,5,6],[2,7],[4]]=>7
[7,3,4,1,6,2,5]=>[[1,3,5],[2,6,7],[4]]=>8
[7,3,4,1,6,5,2]=>[[1,3,5],[2,6],[4],[7]]=>12
[7,3,4,2,1,5,6]=>[[1,3,6,7],[2],[4],[5]]=>8
[7,3,4,2,1,6,5]=>[[1,3,6],[2,7],[4],[5]]=>10
[7,3,4,2,5,1,6]=>[[1,3,5,7],[2],[4],[6]]=>9
[7,3,4,2,5,6,1]=>[[1,3,5,6],[2],[4],[7]]=>10
[7,3,4,2,6,1,5]=>[[1,3,5],[2,7],[4],[6]]=>11
[7,3,4,2,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>12
[7,3,4,5,1,2,6]=>[[1,3,4,7],[2,6],[5]]=>7
[7,3,4,5,1,6,2]=>[[1,3,4,6],[2,7],[5]]=>8
[7,3,4,5,2,1,6]=>[[1,3,4,7],[2],[5],[6]]=>10
[7,3,4,5,2,6,1]=>[[1,3,4,6],[2],[5],[7]]=>11
[7,3,4,5,6,1,2]=>[[1,3,4,5],[2,7],[6]]=>9
[7,3,4,5,6,2,1]=>[[1,3,4,5],[2],[6],[7]]=>12
[7,3,4,6,1,2,5]=>[[1,3,4],[2,6,7],[5]]=>9
[7,3,4,6,1,5,2]=>[[1,3,4],[2,6],[5],[7]]=>13
[7,3,4,6,2,1,5]=>[[1,3,4],[2,7],[5],[6]]=>12
[7,3,4,6,2,5,1]=>[[1,3,4],[2,6],[5],[7]]=>13
[7,3,4,6,5,1,2]=>[[1,3,4],[2,7],[5],[6]]=>12
[7,3,4,6,5,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>16
[7,3,5,1,2,4,6]=>[[1,3,6,7],[2,5],[4]]=>5
[7,3,5,1,2,6,4]=>[[1,3,6],[2,5,7],[4]]=>6
[7,3,5,1,4,2,6]=>[[1,3,7],[2,5],[4],[6]]=>10
[7,3,5,1,4,6,2]=>[[1,3,6],[2,5],[4],[7]]=>11
[7,3,5,1,6,2,4]=>[[1,3,5],[2,6,7],[4]]=>8
[7,3,5,1,6,4,2]=>[[1,3,5],[2,6],[4],[7]]=>12
[7,3,5,2,1,4,6]=>[[1,3,7],[2,6],[4],[5]]=>9
[7,3,5,2,1,6,4]=>[[1,3,6],[2,7],[4],[5]]=>10
[7,3,5,2,4,1,6]=>[[1,3,7],[2,5],[4],[6]]=>10
[7,3,5,2,4,6,1]=>[[1,3,6],[2,5],[4],[7]]=>11
[7,3,5,2,6,1,4]=>[[1,3,5],[2,7],[4],[6]]=>11
[7,3,5,2,6,4,1]=>[[1,3,5],[2,6],[4],[7]]=>12
[7,3,5,4,1,2,6]=>[[1,3,7],[2,6],[4],[5]]=>9
[7,3,5,4,1,6,2]=>[[1,3,6],[2,7],[4],[5]]=>10
[7,3,5,4,2,1,6]=>[[1,3,7],[2],[4],[5],[6]]=>13
[7,3,5,4,2,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>14
[7,3,5,4,6,1,2]=>[[1,3,5],[2,7],[4],[6]]=>11
[7,3,5,4,6,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>15
[7,3,5,6,1,2,4]=>[[1,3,4],[2,6,7],[5]]=>9
[7,3,5,6,1,4,2]=>[[1,3,4],[2,6],[5],[7]]=>13
[7,3,5,6,2,1,4]=>[[1,3,4],[2,7],[5],[6]]=>12
[7,3,5,6,2,4,1]=>[[1,3,4],[2,6],[5],[7]]=>13
[7,3,5,6,4,1,2]=>[[1,3,4],[2,7],[5],[6]]=>12
[7,3,5,6,4,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>16
[7,3,6,1,2,4,5]=>[[1,3,6,7],[2,5],[4]]=>5
[7,3,6,1,2,5,4]=>[[1,3,6],[2,5],[4],[7]]=>11
[7,3,6,1,4,2,5]=>[[1,3,7],[2,5],[4],[6]]=>10
[7,3,6,1,4,5,2]=>[[1,3,6],[2,5],[4],[7]]=>11
[7,3,6,1,5,2,4]=>[[1,3,7],[2,5],[4],[6]]=>10
[7,3,6,1,5,4,2]=>[[1,3],[2,5],[4],[6],[7]]=>16
[7,3,6,2,1,4,5]=>[[1,3,7],[2,6],[4],[5]]=>9
[7,3,6,2,1,5,4]=>[[1,3],[2,6],[4,7],[5]]=>11
[7,3,6,2,4,1,5]=>[[1,3,7],[2,5],[4],[6]]=>10
[7,3,6,2,4,5,1]=>[[1,3,6],[2,5],[4],[7]]=>11
[7,3,6,2,5,1,4]=>[[1,3],[2,5],[4,7],[6]]=>12
[7,3,6,2,5,4,1]=>[[1,3],[2,5],[4],[6],[7]]=>16
[7,3,6,4,1,2,5]=>[[1,3,7],[2,6],[4],[5]]=>9
[7,3,6,4,1,5,2]=>[[1,3,6],[2,7],[4],[5]]=>10
[7,3,6,4,2,1,5]=>[[1,3,7],[2],[4],[5],[6]]=>13
[7,3,6,4,2,5,1]=>[[1,3,6],[2],[4],[5],[7]]=>14
[7,3,6,4,5,1,2]=>[[1,3,5],[2,7],[4],[6]]=>11
[7,3,6,4,5,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>15
[7,3,6,5,1,2,4]=>[[1,3,7],[2,6],[4],[5]]=>9
[7,3,6,5,1,4,2]=>[[1,3],[2,6],[4],[5],[7]]=>15
[7,3,6,5,2,1,4]=>[[1,3],[2,7],[4],[5],[6]]=>14
[7,3,6,5,2,4,1]=>[[1,3],[2,6],[4],[5],[7]]=>15
[7,3,6,5,4,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>14
[7,3,6,5,4,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>19
[7,4,1,2,3,5,6]=>[[1,4,5,6,7],[2],[3]]=>3
[7,4,1,2,3,6,5]=>[[1,4,5,6],[2,7],[3]]=>6
[7,4,1,2,5,3,6]=>[[1,4,5,7],[2,6],[3]]=>5
[7,4,1,2,5,6,3]=>[[1,4,5,6],[2,7],[3]]=>6
[7,4,1,2,6,3,5]=>[[1,4,5,7],[2,6],[3]]=>5
[7,4,1,2,6,5,3]=>[[1,4,5],[2,6],[3],[7]]=>11
[7,4,1,3,2,5,6]=>[[1,4,6,7],[2],[3],[5]]=>7
[7,4,1,3,2,6,5]=>[[1,4,6],[2,7],[3],[5]]=>9
[7,4,1,3,5,2,6]=>[[1,4,5,7],[2],[3],[6]]=>8
[7,4,1,3,5,6,2]=>[[1,4,5,6],[2],[3],[7]]=>9
[7,4,1,3,6,2,5]=>[[1,4,5],[2,7],[3],[6]]=>10
[7,4,1,3,6,5,2]=>[[1,4,5],[2,6],[3],[7]]=>11
[7,4,1,5,2,3,6]=>[[1,4,6,7],[2,5],[3]]=>4
[7,4,1,5,2,6,3]=>[[1,4,6],[2,5,7],[3]]=>5
[7,4,1,5,3,2,6]=>[[1,4,7],[2,5],[3],[6]]=>9
[7,4,1,5,3,6,2]=>[[1,4,6],[2,5],[3],[7]]=>10
[7,4,1,5,6,2,3]=>[[1,4,5],[2,6,7],[3]]=>7
[7,4,1,5,6,3,2]=>[[1,4,5],[2,6],[3],[7]]=>11
[7,4,1,6,2,3,5]=>[[1,4,6,7],[2,5],[3]]=>4
[7,4,1,6,2,5,3]=>[[1,4,6],[2,5],[3],[7]]=>10
[7,4,1,6,3,2,5]=>[[1,4,7],[2,5],[3],[6]]=>9
[7,4,1,6,3,5,2]=>[[1,4,6],[2,5],[3],[7]]=>10
[7,4,1,6,5,2,3]=>[[1,4,7],[2,5],[3],[6]]=>9
[7,4,1,6,5,3,2]=>[[1,4],[2,5],[3],[6],[7]]=>15
[7,4,2,1,3,5,6]=>[[1,5,6,7],[2],[3],[4]]=>6
[7,4,2,1,3,6,5]=>[[1,5,6],[2,7],[3],[4]]=>8
[7,4,2,1,5,3,6]=>[[1,5,7],[2,6],[3],[4]]=>7
[7,4,2,1,5,6,3]=>[[1,5,6],[2,7],[3],[4]]=>8
[7,4,2,1,6,3,5]=>[[1,5,7],[2,6],[3],[4]]=>7
[7,4,2,1,6,5,3]=>[[1,5],[2,6],[3,7],[4]]=>9
[7,4,2,3,1,5,6]=>[[1,4,6,7],[2],[3],[5]]=>7
[7,4,2,3,1,6,5]=>[[1,4,6],[2,7],[3],[5]]=>9
[7,4,2,3,5,1,6]=>[[1,4,5,7],[2],[3],[6]]=>8
[7,4,2,3,5,6,1]=>[[1,4,5,6],[2],[3],[7]]=>9
[7,4,2,3,6,1,5]=>[[1,4,5],[2,7],[3],[6]]=>10
[7,4,2,3,6,5,1]=>[[1,4,5],[2,6],[3],[7]]=>11
[7,4,2,5,1,3,6]=>[[1,4,7],[2,6],[3],[5]]=>8
[7,4,2,5,1,6,3]=>[[1,4,6],[2,7],[3],[5]]=>9
[7,4,2,5,3,1,6]=>[[1,4,7],[2,5],[3],[6]]=>9
[7,4,2,5,3,6,1]=>[[1,4,6],[2,5],[3],[7]]=>10
[7,4,2,5,6,1,3]=>[[1,4,5],[2,7],[3],[6]]=>10
[7,4,2,5,6,3,1]=>[[1,4,5],[2,6],[3],[7]]=>11
[7,4,2,6,1,3,5]=>[[1,4,7],[2,6],[3],[5]]=>8
[7,4,2,6,1,5,3]=>[[1,4],[2,6],[3,7],[5]]=>10
[7,4,2,6,3,1,5]=>[[1,4,7],[2,5],[3],[6]]=>9
[7,4,2,6,3,5,1]=>[[1,4,6],[2,5],[3],[7]]=>10
[7,4,2,6,5,1,3]=>[[1,4],[2,5],[3,7],[6]]=>11
[7,4,2,6,5,3,1]=>[[1,4],[2,5],[3],[6],[7]]=>15
[7,4,3,1,2,5,6]=>[[1,5,6,7],[2],[3],[4]]=>6
[7,4,3,1,2,6,5]=>[[1,5,6],[2,7],[3],[4]]=>8
[7,4,3,1,5,2,6]=>[[1,5,7],[2,6],[3],[4]]=>7
[7,4,3,1,5,6,2]=>[[1,5,6],[2,7],[3],[4]]=>8
[7,4,3,1,6,2,5]=>[[1,5,7],[2,6],[3],[4]]=>7
[7,4,3,1,6,5,2]=>[[1,5],[2,6],[3,7],[4]]=>9
[7,4,3,2,1,5,6]=>[[1,6,7],[2],[3],[4],[5]]=>10
[7,4,3,2,1,6,5]=>[[1,6],[2,7],[3],[4],[5]]=>11
[7,4,3,2,5,1,6]=>[[1,5,7],[2],[3],[4],[6]]=>11
[7,4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>12
[7,4,3,2,6,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>12
[7,4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>13
[7,4,3,5,1,2,6]=>[[1,4,7],[2,6],[3],[5]]=>8
[7,4,3,5,1,6,2]=>[[1,4,6],[2,7],[3],[5]]=>9
[7,4,3,5,2,1,6]=>[[1,4,7],[2],[3],[5],[6]]=>12
[7,4,3,5,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>13
[7,4,3,5,6,1,2]=>[[1,4,5],[2,7],[3],[6]]=>10
[7,4,3,5,6,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>14
[7,4,3,6,1,2,5]=>[[1,4,7],[2,6],[3],[5]]=>8
[7,4,3,6,1,5,2]=>[[1,4],[2,6],[3,7],[5]]=>10
[7,4,3,6,2,1,5]=>[[1,4],[2,7],[3],[5],[6]]=>13
[7,4,3,6,2,5,1]=>[[1,4],[2,6],[3],[5],[7]]=>14
[7,4,3,6,5,1,2]=>[[1,4],[2,5],[3,7],[6]]=>11
[7,4,3,6,5,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>15
[7,4,5,1,2,3,6]=>[[1,3,6,7],[2,5],[4]]=>5
[7,4,5,1,2,6,3]=>[[1,3,6],[2,5,7],[4]]=>6
[7,4,5,1,3,2,6]=>[[1,3,7],[2,5],[4],[6]]=>10
[7,4,5,1,3,6,2]=>[[1,3,6],[2,5],[4],[7]]=>11
[7,4,5,1,6,2,3]=>[[1,3,5],[2,6,7],[4]]=>8
[7,4,5,1,6,3,2]=>[[1,3,5],[2,6],[4],[7]]=>12
[7,4,5,2,1,3,6]=>[[1,3,7],[2,6],[4],[5]]=>9
[7,4,5,2,1,6,3]=>[[1,3,6],[2,7],[4],[5]]=>10
[7,4,5,2,3,1,6]=>[[1,3,7],[2,5],[4],[6]]=>10
[7,4,5,2,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>11
[7,4,5,2,6,1,3]=>[[1,3,5],[2,7],[4],[6]]=>11
[7,4,5,2,6,3,1]=>[[1,3,5],[2,6],[4],[7]]=>12
[7,4,5,3,1,2,6]=>[[1,3,7],[2,6],[4],[5]]=>9
[7,4,5,3,1,6,2]=>[[1,3,6],[2,7],[4],[5]]=>10
[7,4,5,3,2,1,6]=>[[1,3,7],[2],[4],[5],[6]]=>13
[7,4,5,3,2,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>14
[7,4,5,3,6,1,2]=>[[1,3,5],[2,7],[4],[6]]=>11
[7,4,5,3,6,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>15
[7,4,5,6,1,2,3]=>[[1,3,4],[2,6,7],[5]]=>9
[7,4,5,6,1,3,2]=>[[1,3,4],[2,6],[5],[7]]=>13
[7,4,5,6,2,1,3]=>[[1,3,4],[2,7],[5],[6]]=>12
[7,4,5,6,2,3,1]=>[[1,3,4],[2,6],[5],[7]]=>13
[7,4,5,6,3,1,2]=>[[1,3,4],[2,7],[5],[6]]=>12
[7,4,5,6,3,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>16
[7,4,6,1,2,3,5]=>[[1,3,6,7],[2,5],[4]]=>5
[7,4,6,1,2,5,3]=>[[1,3,6],[2,5],[4],[7]]=>11
[7,4,6,1,3,2,5]=>[[1,3,7],[2,5],[4],[6]]=>10
[7,4,6,1,3,5,2]=>[[1,3,6],[2,5],[4],[7]]=>11
[7,4,6,1,5,2,3]=>[[1,3,7],[2,5],[4],[6]]=>10
[7,4,6,1,5,3,2]=>[[1,3],[2,5],[4],[6],[7]]=>16
[7,4,6,2,1,3,5]=>[[1,3,7],[2,6],[4],[5]]=>9
[7,4,6,2,1,5,3]=>[[1,3],[2,6],[4,7],[5]]=>11
[7,4,6,2,3,1,5]=>[[1,3,7],[2,5],[4],[6]]=>10
[7,4,6,2,3,5,1]=>[[1,3,6],[2,5],[4],[7]]=>11
[7,4,6,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>12
[7,4,6,2,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>16
[7,4,6,3,1,2,5]=>[[1,3,7],[2,6],[4],[5]]=>9
[7,4,6,3,1,5,2]=>[[1,3],[2,6],[4,7],[5]]=>11
[7,4,6,3,2,1,5]=>[[1,3],[2,7],[4],[5],[6]]=>14
[7,4,6,3,2,5,1]=>[[1,3],[2,6],[4],[5],[7]]=>15
[7,4,6,3,5,1,2]=>[[1,3],[2,5],[4,7],[6]]=>12
[7,4,6,3,5,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>16
[7,4,6,5,1,2,3]=>[[1,3,7],[2,6],[4],[5]]=>9
[7,4,6,5,1,3,2]=>[[1,3],[2,6],[4],[5],[7]]=>15
[7,4,6,5,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>14
[7,4,6,5,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>15
[7,4,6,5,3,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>14
[7,4,6,5,3,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>19
[7,5,1,2,3,4,6]=>[[1,4,5,6,7],[2],[3]]=>3
[7,5,1,2,3,6,4]=>[[1,4,5,6],[2,7],[3]]=>6
[7,5,1,2,4,3,6]=>[[1,4,5,7],[2],[3],[6]]=>8
[7,5,1,2,4,6,3]=>[[1,4,5,6],[2],[3],[7]]=>9
[7,5,1,2,6,3,4]=>[[1,4,5,7],[2,6],[3]]=>5
[7,5,1,2,6,4,3]=>[[1,4,5],[2,6],[3],[7]]=>11
[7,5,1,3,2,4,6]=>[[1,4,6,7],[2],[3],[5]]=>7
[7,5,1,3,2,6,4]=>[[1,4,6],[2,7],[3],[5]]=>9
[7,5,1,3,4,2,6]=>[[1,4,5,7],[2],[3],[6]]=>8
[7,5,1,3,4,6,2]=>[[1,4,5,6],[2],[3],[7]]=>9
[7,5,1,3,6,2,4]=>[[1,4,5],[2,7],[3],[6]]=>10
[7,5,1,3,6,4,2]=>[[1,4,5],[2,6],[3],[7]]=>11
[7,5,1,4,2,3,6]=>[[1,4,6,7],[2],[3],[5]]=>7
[7,5,1,4,2,6,3]=>[[1,4,6],[2,7],[3],[5]]=>9
[7,5,1,4,3,2,6]=>[[1,4,7],[2],[3],[5],[6]]=>12
[7,5,1,4,3,6,2]=>[[1,4,6],[2],[3],[5],[7]]=>13
[7,5,1,4,6,2,3]=>[[1,4,5],[2,7],[3],[6]]=>10
[7,5,1,4,6,3,2]=>[[1,4,5],[2],[3],[6],[7]]=>14
[7,5,1,6,2,3,4]=>[[1,4,6,7],[2,5],[3]]=>4
[7,5,1,6,2,4,3]=>[[1,4,6],[2,5],[3],[7]]=>10
[7,5,1,6,3,2,4]=>[[1,4,7],[2,5],[3],[6]]=>9
[7,5,1,6,3,4,2]=>[[1,4,6],[2,5],[3],[7]]=>10
[7,5,1,6,4,2,3]=>[[1,4,7],[2,5],[3],[6]]=>9
[7,5,1,6,4,3,2]=>[[1,4],[2,5],[3],[6],[7]]=>15
[7,5,2,1,3,4,6]=>[[1,5,6,7],[2],[3],[4]]=>6
[7,5,2,1,3,6,4]=>[[1,5,6],[2,7],[3],[4]]=>8
[7,5,2,1,4,3,6]=>[[1,5,7],[2,6],[3],[4]]=>7
[7,5,2,1,4,6,3]=>[[1,5,6],[2,7],[3],[4]]=>8
[7,5,2,1,6,3,4]=>[[1,5,7],[2,6],[3],[4]]=>7
[7,5,2,1,6,4,3]=>[[1,5],[2,6],[3,7],[4]]=>9
[7,5,2,3,1,4,6]=>[[1,4,6,7],[2],[3],[5]]=>7
[7,5,2,3,1,6,4]=>[[1,4,6],[2,7],[3],[5]]=>9
[7,5,2,3,4,1,6]=>[[1,4,5,7],[2],[3],[6]]=>8
[7,5,2,3,4,6,1]=>[[1,4,5,6],[2],[3],[7]]=>9
[7,5,2,3,6,1,4]=>[[1,4,5],[2,7],[3],[6]]=>10
[7,5,2,3,6,4,1]=>[[1,4,5],[2,6],[3],[7]]=>11
[7,5,2,4,1,3,6]=>[[1,4,7],[2,6],[3],[5]]=>8
[7,5,2,4,1,6,3]=>[[1,4,6],[2,7],[3],[5]]=>9
[7,5,2,4,3,1,6]=>[[1,4,7],[2],[3],[5],[6]]=>12
[7,5,2,4,3,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>13
[7,5,2,4,6,1,3]=>[[1,4,5],[2,7],[3],[6]]=>10
[7,5,2,4,6,3,1]=>[[1,4,5],[2],[3],[6],[7]]=>14
[7,5,2,6,1,3,4]=>[[1,4,7],[2,6],[3],[5]]=>8
[7,5,2,6,1,4,3]=>[[1,4],[2,6],[3,7],[5]]=>10
[7,5,2,6,3,1,4]=>[[1,4,7],[2,5],[3],[6]]=>9
[7,5,2,6,3,4,1]=>[[1,4,6],[2,5],[3],[7]]=>10
[7,5,2,6,4,1,3]=>[[1,4],[2,5],[3,7],[6]]=>11
[7,5,2,6,4,3,1]=>[[1,4],[2,5],[3],[6],[7]]=>15
[7,5,3,1,2,4,6]=>[[1,5,6,7],[2],[3],[4]]=>6
[7,5,3,1,2,6,4]=>[[1,5,6],[2,7],[3],[4]]=>8
[7,5,3,1,4,2,6]=>[[1,5,7],[2,6],[3],[4]]=>7
[7,5,3,1,4,6,2]=>[[1,5,6],[2,7],[3],[4]]=>8
[7,5,3,1,6,2,4]=>[[1,5,7],[2,6],[3],[4]]=>7
[7,5,3,1,6,4,2]=>[[1,5],[2,6],[3,7],[4]]=>9
[7,5,3,2,1,4,6]=>[[1,6,7],[2],[3],[4],[5]]=>10
[7,5,3,2,1,6,4]=>[[1,6],[2,7],[3],[4],[5]]=>11
[7,5,3,2,4,1,6]=>[[1,5,7],[2],[3],[4],[6]]=>11
[7,5,3,2,4,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>12
[7,5,3,2,6,1,4]=>[[1,5],[2,7],[3],[4],[6]]=>12
[7,5,3,2,6,4,1]=>[[1,5],[2,6],[3],[4],[7]]=>13
[7,5,3,4,1,2,6]=>[[1,4,7],[2,6],[3],[5]]=>8
[7,5,3,4,1,6,2]=>[[1,4,6],[2,7],[3],[5]]=>9
[7,5,3,4,2,1,6]=>[[1,4,7],[2],[3],[5],[6]]=>12
[7,5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>13
[7,5,3,4,6,1,2]=>[[1,4,5],[2,7],[3],[6]]=>10
[7,5,3,4,6,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>14
[7,5,3,6,1,2,4]=>[[1,4,7],[2,6],[3],[5]]=>8
[7,5,3,6,1,4,2]=>[[1,4],[2,6],[3,7],[5]]=>10
[7,5,3,6,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>13
[7,5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>14
[7,5,3,6,4,1,2]=>[[1,4],[2,5],[3,7],[6]]=>11
[7,5,3,6,4,2,1]=>[[1,4],[2,5],[3],[6],[7]]=>15
[7,5,4,1,2,3,6]=>[[1,5,6,7],[2],[3],[4]]=>6
[7,5,4,1,2,6,3]=>[[1,5,6],[2,7],[3],[4]]=>8
[7,5,4,1,3,2,6]=>[[1,5,7],[2],[3],[4],[6]]=>11
[7,5,4,1,3,6,2]=>[[1,5,6],[2],[3],[4],[7]]=>12
[7,5,4,1,6,2,3]=>[[1,5,7],[2,6],[3],[4]]=>7
[7,5,4,1,6,3,2]=>[[1,5],[2,6],[3],[4],[7]]=>13
[7,5,4,2,1,3,6]=>[[1,6,7],[2],[3],[4],[5]]=>10
[7,5,4,2,1,6,3]=>[[1,6],[2,7],[3],[4],[5]]=>11
[7,5,4,2,3,1,6]=>[[1,5,7],[2],[3],[4],[6]]=>11
[7,5,4,2,3,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>12
[7,5,4,2,6,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>12
[7,5,4,2,6,3,1]=>[[1,5],[2,6],[3],[4],[7]]=>13
[7,5,4,3,1,2,6]=>[[1,6,7],[2],[3],[4],[5]]=>10
[7,5,4,3,1,6,2]=>[[1,6],[2,7],[3],[4],[5]]=>11
[7,5,4,3,2,1,6]=>[[1,7],[2],[3],[4],[5],[6]]=>15
[7,5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5],[7]]=>16
[7,5,4,3,6,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>12
[7,5,4,3,6,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>17
[7,5,4,6,1,2,3]=>[[1,4,7],[2,6],[3],[5]]=>8
[7,5,4,6,1,3,2]=>[[1,4],[2,6],[3],[5],[7]]=>14
[7,5,4,6,2,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>13
[7,5,4,6,2,3,1]=>[[1,4],[2,6],[3],[5],[7]]=>14
[7,5,4,6,3,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>13
[7,5,4,6,3,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>18
[7,5,6,1,2,3,4]=>[[1,3,6,7],[2,5],[4]]=>5
[7,5,6,1,2,4,3]=>[[1,3,6],[2,5],[4],[7]]=>11
[7,5,6,1,3,2,4]=>[[1,3,7],[2,5],[4],[6]]=>10
[7,5,6,1,3,4,2]=>[[1,3,6],[2,5],[4],[7]]=>11
[7,5,6,1,4,2,3]=>[[1,3,7],[2,5],[4],[6]]=>10
[7,5,6,1,4,3,2]=>[[1,3],[2,5],[4],[6],[7]]=>16
[7,5,6,2,1,3,4]=>[[1,3,7],[2,6],[4],[5]]=>9
[7,5,6,2,1,4,3]=>[[1,3],[2,6],[4,7],[5]]=>11
[7,5,6,2,3,1,4]=>[[1,3,7],[2,5],[4],[6]]=>10
[7,5,6,2,3,4,1]=>[[1,3,6],[2,5],[4],[7]]=>11
[7,5,6,2,4,1,3]=>[[1,3],[2,5],[4,7],[6]]=>12
[7,5,6,2,4,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>16
[7,5,6,3,1,2,4]=>[[1,3,7],[2,6],[4],[5]]=>9
[7,5,6,3,1,4,2]=>[[1,3],[2,6],[4,7],[5]]=>11
[7,5,6,3,2,1,4]=>[[1,3],[2,7],[4],[5],[6]]=>14
[7,5,6,3,2,4,1]=>[[1,3],[2,6],[4],[5],[7]]=>15
[7,5,6,3,4,1,2]=>[[1,3],[2,5],[4,7],[6]]=>12
[7,5,6,3,4,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>16
[7,5,6,4,1,2,3]=>[[1,3,7],[2,6],[4],[5]]=>9
[7,5,6,4,1,3,2]=>[[1,3],[2,6],[4],[5],[7]]=>15
[7,5,6,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>14
[7,5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>15
[7,5,6,4,3,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>14
[7,5,6,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>19
[7,6,1,2,3,4,5]=>[[1,4,5,6,7],[2],[3]]=>3
[7,6,1,2,3,5,4]=>[[1,4,5,6],[2],[3],[7]]=>9
[7,6,1,2,4,3,5]=>[[1,4,5,7],[2],[3],[6]]=>8
[7,6,1,2,4,5,3]=>[[1,4,5,6],[2],[3],[7]]=>9
[7,6,1,2,5,3,4]=>[[1,4,5,7],[2],[3],[6]]=>8
[7,6,1,2,5,4,3]=>[[1,4,5],[2],[3],[6],[7]]=>14
[7,6,1,3,2,4,5]=>[[1,4,6,7],[2],[3],[5]]=>7
[7,6,1,3,2,5,4]=>[[1,4,6],[2,7],[3],[5]]=>9
[7,6,1,3,4,2,5]=>[[1,4,5,7],[2],[3],[6]]=>8
[7,6,1,3,4,5,2]=>[[1,4,5,6],[2],[3],[7]]=>9
[7,6,1,3,5,2,4]=>[[1,4,5],[2,7],[3],[6]]=>10
[7,6,1,3,5,4,2]=>[[1,4,5],[2],[3],[6],[7]]=>14
[7,6,1,4,2,3,5]=>[[1,4,6,7],[2],[3],[5]]=>7
[7,6,1,4,2,5,3]=>[[1,4,6],[2,7],[3],[5]]=>9
[7,6,1,4,3,2,5]=>[[1,4,7],[2],[3],[5],[6]]=>12
[7,6,1,4,3,5,2]=>[[1,4,6],[2],[3],[5],[7]]=>13
[7,6,1,4,5,2,3]=>[[1,4,5],[2,7],[3],[6]]=>10
[7,6,1,4,5,3,2]=>[[1,4,5],[2],[3],[6],[7]]=>14
[7,6,1,5,2,3,4]=>[[1,4,6,7],[2],[3],[5]]=>7
[7,6,1,5,2,4,3]=>[[1,4,6],[2],[3],[5],[7]]=>13
[7,6,1,5,3,2,4]=>[[1,4,7],[2],[3],[5],[6]]=>12
[7,6,1,5,3,4,2]=>[[1,4,6],[2],[3],[5],[7]]=>13
[7,6,1,5,4,2,3]=>[[1,4,7],[2],[3],[5],[6]]=>12
[7,6,1,5,4,3,2]=>[[1,4],[2],[3],[5],[6],[7]]=>18
[7,6,2,1,3,4,5]=>[[1,5,6,7],[2],[3],[4]]=>6
[7,6,2,1,3,5,4]=>[[1,5,6],[2,7],[3],[4]]=>8
[7,6,2,1,4,3,5]=>[[1,5,7],[2,6],[3],[4]]=>7
[7,6,2,1,4,5,3]=>[[1,5,6],[2,7],[3],[4]]=>8
[7,6,2,1,5,3,4]=>[[1,5,7],[2,6],[3],[4]]=>7
[7,6,2,1,5,4,3]=>[[1,5],[2,6],[3],[4],[7]]=>13
[7,6,2,3,1,4,5]=>[[1,4,6,7],[2],[3],[5]]=>7
[7,6,2,3,1,5,4]=>[[1,4,6],[2,7],[3],[5]]=>9
[7,6,2,3,4,1,5]=>[[1,4,5,7],[2],[3],[6]]=>8
[7,6,2,3,4,5,1]=>[[1,4,5,6],[2],[3],[7]]=>9
[7,6,2,3,5,1,4]=>[[1,4,5],[2,7],[3],[6]]=>10
[7,6,2,3,5,4,1]=>[[1,4,5],[2],[3],[6],[7]]=>14
[7,6,2,4,1,3,5]=>[[1,4,7],[2,6],[3],[5]]=>8
[7,6,2,4,1,5,3]=>[[1,4,6],[2,7],[3],[5]]=>9
[7,6,2,4,3,1,5]=>[[1,4,7],[2],[3],[5],[6]]=>12
[7,6,2,4,3,5,1]=>[[1,4,6],[2],[3],[5],[7]]=>13
[7,6,2,4,5,1,3]=>[[1,4,5],[2,7],[3],[6]]=>10
[7,6,2,4,5,3,1]=>[[1,4,5],[2],[3],[6],[7]]=>14
[7,6,2,5,1,3,4]=>[[1,4,7],[2,6],[3],[5]]=>8
[7,6,2,5,1,4,3]=>[[1,4],[2,6],[3],[5],[7]]=>14
[7,6,2,5,3,1,4]=>[[1,4,7],[2],[3],[5],[6]]=>12
[7,6,2,5,3,4,1]=>[[1,4,6],[2],[3],[5],[7]]=>13
[7,6,2,5,4,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>13
[7,6,2,5,4,3,1]=>[[1,4],[2],[3],[5],[6],[7]]=>18
[7,6,3,1,2,4,5]=>[[1,5,6,7],[2],[3],[4]]=>6
[7,6,3,1,2,5,4]=>[[1,5,6],[2,7],[3],[4]]=>8
[7,6,3,1,4,2,5]=>[[1,5,7],[2,6],[3],[4]]=>7
[7,6,3,1,4,5,2]=>[[1,5,6],[2,7],[3],[4]]=>8
[7,6,3,1,5,2,4]=>[[1,5,7],[2,6],[3],[4]]=>7
[7,6,3,1,5,4,2]=>[[1,5],[2,6],[3],[4],[7]]=>13
[7,6,3,2,1,4,5]=>[[1,6,7],[2],[3],[4],[5]]=>10
[7,6,3,2,1,5,4]=>[[1,6],[2,7],[3],[4],[5]]=>11
[7,6,3,2,4,1,5]=>[[1,5,7],[2],[3],[4],[6]]=>11
[7,6,3,2,4,5,1]=>[[1,5,6],[2],[3],[4],[7]]=>12
[7,6,3,2,5,1,4]=>[[1,5],[2,7],[3],[4],[6]]=>12
[7,6,3,2,5,4,1]=>[[1,5],[2,6],[3],[4],[7]]=>13
[7,6,3,4,1,2,5]=>[[1,4,7],[2,6],[3],[5]]=>8
[7,6,3,4,1,5,2]=>[[1,4,6],[2,7],[3],[5]]=>9
[7,6,3,4,2,1,5]=>[[1,4,7],[2],[3],[5],[6]]=>12
[7,6,3,4,2,5,1]=>[[1,4,6],[2],[3],[5],[7]]=>13
[7,6,3,4,5,1,2]=>[[1,4,5],[2,7],[3],[6]]=>10
[7,6,3,4,5,2,1]=>[[1,4,5],[2],[3],[6],[7]]=>14
[7,6,3,5,1,2,4]=>[[1,4,7],[2,6],[3],[5]]=>8
[7,6,3,5,1,4,2]=>[[1,4],[2,6],[3],[5],[7]]=>14
[7,6,3,5,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>13
[7,6,3,5,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>14
[7,6,3,5,4,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>13
[7,6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>18
[7,6,4,1,2,3,5]=>[[1,5,6,7],[2],[3],[4]]=>6
[7,6,4,1,2,5,3]=>[[1,5,6],[2,7],[3],[4]]=>8
[7,6,4,1,3,2,5]=>[[1,5,7],[2],[3],[4],[6]]=>11
[7,6,4,1,3,5,2]=>[[1,5,6],[2],[3],[4],[7]]=>12
[7,6,4,1,5,2,3]=>[[1,5,7],[2,6],[3],[4]]=>7
[7,6,4,1,5,3,2]=>[[1,5],[2,6],[3],[4],[7]]=>13
[7,6,4,2,1,3,5]=>[[1,6,7],[2],[3],[4],[5]]=>10
[7,6,4,2,1,5,3]=>[[1,6],[2,7],[3],[4],[5]]=>11
[7,6,4,2,3,1,5]=>[[1,5,7],[2],[3],[4],[6]]=>11
[7,6,4,2,3,5,1]=>[[1,5,6],[2],[3],[4],[7]]=>12
[7,6,4,2,5,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>12
[7,6,4,2,5,3,1]=>[[1,5],[2,6],[3],[4],[7]]=>13
[7,6,4,3,1,2,5]=>[[1,6,7],[2],[3],[4],[5]]=>10
[7,6,4,3,1,5,2]=>[[1,6],[2,7],[3],[4],[5]]=>11
[7,6,4,3,2,1,5]=>[[1,7],[2],[3],[4],[5],[6]]=>15
[7,6,4,3,2,5,1]=>[[1,6],[2],[3],[4],[5],[7]]=>16
[7,6,4,3,5,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>12
[7,6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>17
[7,6,4,5,1,2,3]=>[[1,4,7],[2,6],[3],[5]]=>8
[7,6,4,5,1,3,2]=>[[1,4],[2,6],[3],[5],[7]]=>14
[7,6,4,5,2,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>13
[7,6,4,5,2,3,1]=>[[1,4],[2,6],[3],[5],[7]]=>14
[7,6,4,5,3,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>13
[7,6,4,5,3,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>18
[7,6,5,1,2,3,4]=>[[1,5,6,7],[2],[3],[4]]=>6
[7,6,5,1,2,4,3]=>[[1,5,6],[2],[3],[4],[7]]=>12
[7,6,5,1,3,2,4]=>[[1,5,7],[2],[3],[4],[6]]=>11
[7,6,5,1,3,4,2]=>[[1,5,6],[2],[3],[4],[7]]=>12
[7,6,5,1,4,2,3]=>[[1,5,7],[2],[3],[4],[6]]=>11
[7,6,5,1,4,3,2]=>[[1,5],[2],[3],[4],[6],[7]]=>17
[7,6,5,2,1,3,4]=>[[1,6,7],[2],[3],[4],[5]]=>10
[7,6,5,2,1,4,3]=>[[1,6],[2,7],[3],[4],[5]]=>11
[7,6,5,2,3,1,4]=>[[1,5,7],[2],[3],[4],[6]]=>11
[7,6,5,2,3,4,1]=>[[1,5,6],[2],[3],[4],[7]]=>12
[7,6,5,2,4,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>12
[7,6,5,2,4,3,1]=>[[1,5],[2],[3],[4],[6],[7]]=>17
[7,6,5,3,1,2,4]=>[[1,6,7],[2],[3],[4],[5]]=>10
[7,6,5,3,1,4,2]=>[[1,6],[2,7],[3],[4],[5]]=>11
[7,6,5,3,2,1,4]=>[[1,7],[2],[3],[4],[5],[6]]=>15
[7,6,5,3,2,4,1]=>[[1,6],[2],[3],[4],[5],[7]]=>16
[7,6,5,3,4,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>12
[7,6,5,3,4,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>17
[7,6,5,4,1,2,3]=>[[1,6,7],[2],[3],[4],[5]]=>10
[7,6,5,4,1,3,2]=>[[1,6],[2],[3],[4],[5],[7]]=>16
[7,6,5,4,2,1,3]=>[[1,7],[2],[3],[4],[5],[6]]=>15
[7,6,5,4,2,3,1]=>[[1,6],[2],[3],[4],[5],[7]]=>16
[7,6,5,4,3,1,2]=>[[1,7],[2],[3],[4],[5],[6]]=>15
[7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7]]=>21
[8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8]]=>28
[7,8,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>27
[8,6,7,5,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>26
[7,6,8,5,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>26
[6,7,8,5,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[8,7,5,6,4,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>25
[7,8,5,6,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>26
[8,6,5,7,4,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>25
[8,5,6,7,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23
[7,6,5,8,4,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>25
[6,7,5,8,4,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[7,5,6,8,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23
[6,5,7,8,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23
[5,6,7,8,4,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[8,7,6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>24
[7,8,6,4,5,3,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>25
[8,6,7,4,5,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>23
[7,6,8,4,5,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>23
[8,7,5,4,6,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>24
[8,7,4,5,6,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21
[8,6,5,4,7,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>24
[8,5,6,4,7,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22
[8,6,4,5,7,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21
[8,4,5,6,7,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[7,6,5,4,8,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>24
[6,7,5,4,8,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>23
[7,5,6,4,8,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22
[6,5,7,4,8,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22
[5,6,7,4,8,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>21
[7,6,4,5,8,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21
[6,7,4,5,8,3,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[7,5,4,6,8,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21
[7,4,5,6,8,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[6,5,4,7,8,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21
[5,6,4,7,8,3,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[6,4,5,7,8,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[5,4,6,7,8,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[4,5,6,7,8,3,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[8,7,6,5,3,4,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>23
[7,8,6,5,3,4,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>24
[8,6,7,5,3,4,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>22
[7,6,8,5,3,4,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>22
[8,7,5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>21
[7,8,5,6,3,4,2,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[8,5,6,7,3,4,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[7,6,5,8,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>21
[6,7,5,8,3,4,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[6,5,7,8,3,4,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[5,6,7,8,3,4,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[8,7,6,4,3,5,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>23
[7,8,6,4,3,5,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>24
[8,6,7,4,3,5,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>22
[7,6,8,4,3,5,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>22
[6,7,8,4,3,5,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[8,7,6,3,4,5,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>19
[7,8,6,3,4,5,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[8,6,7,3,4,5,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[7,6,8,3,4,5,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[6,7,8,3,4,5,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[8,7,5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>23
[7,8,5,4,3,6,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>24
[8,7,4,5,3,6,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>20
[8,7,5,3,4,6,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>19
[7,8,5,3,4,6,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[8,7,4,3,5,6,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>19
[8,7,3,4,5,6,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[7,8,3,4,5,6,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[8,6,5,4,3,7,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>23
[8,6,4,3,5,7,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>19
[8,5,4,3,6,7,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>19
[8,5,3,4,6,7,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[8,4,3,5,6,7,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[8,3,4,5,6,7,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[7,6,5,4,3,8,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>23
[6,7,5,4,3,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>22
[7,5,6,4,3,8,2,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>21
[6,5,7,4,3,8,2,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>21
[5,6,7,4,3,8,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>20
[6,7,4,5,3,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[7,5,4,6,3,8,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>20
[7,4,5,6,3,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[6,5,4,7,3,8,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>20
[6,4,5,7,3,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[5,4,6,7,3,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[4,5,6,7,3,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[7,6,5,3,4,8,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>19
[7,6,4,3,5,8,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>19
[7,6,3,4,5,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[7,5,4,3,6,8,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>19
[7,5,3,4,6,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[7,3,4,5,6,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[6,5,4,3,7,8,2,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>19
[6,5,3,4,7,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[6,3,4,5,7,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[5,4,3,6,7,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[5,3,4,6,7,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[4,3,5,6,7,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[3,4,5,6,7,8,2,1]=>[[1,2,3,4,5,6],[7],[8]]=>13
[8,7,6,5,4,2,3,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>22
[7,8,6,5,4,2,3,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>23
[8,6,7,5,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>21
[7,6,8,5,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>21
[8,7,5,6,4,2,3,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>20
[8,6,5,7,4,2,3,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>20
[8,5,6,7,4,2,3,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[7,6,5,8,4,2,3,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>20
[6,7,5,8,4,2,3,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[7,5,6,8,4,2,3,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[5,6,7,8,4,2,3,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[8,7,6,4,5,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[8,6,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[7,6,8,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[8,7,5,4,6,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[8,7,4,5,6,2,3,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[7,8,4,5,6,2,3,1]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[8,6,5,4,7,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[8,5,6,4,7,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[8,6,4,5,7,2,3,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[8,4,5,6,7,2,3,1]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[7,6,5,4,8,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[7,5,6,4,8,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[6,5,7,4,8,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[6,7,4,5,8,2,3,1]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[4,5,6,7,8,2,3,1]=>[[1,2,3,4,5],[6,7],[8]]=>17
[8,7,6,5,3,2,4,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>22
[7,8,6,5,3,2,4,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>23
[8,6,7,5,3,2,4,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>21
[7,6,8,5,3,2,4,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>21
[6,7,8,5,3,2,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[8,7,5,6,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>20
[8,6,5,7,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>20
[8,5,6,7,3,2,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[7,6,5,8,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>20
[6,7,5,8,3,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[5,6,7,8,3,2,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[8,7,6,5,2,3,4,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>17
[8,6,7,5,2,3,4,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[7,6,8,5,2,3,4,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[6,7,8,5,2,3,4,1]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[8,7,5,6,2,3,4,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[7,8,5,6,2,3,4,1]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[8,6,5,7,2,3,4,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[8,5,6,7,2,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[7,6,5,8,2,3,4,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[6,7,5,8,2,3,4,1]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[6,5,7,8,2,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[5,6,7,8,2,3,4,1]=>[[1,2,3,4],[5,6,7],[8]]=>19
[8,7,6,4,3,2,5,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>22
[7,8,6,4,3,2,5,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>23
[8,6,7,4,3,2,5,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>21
[7,6,8,4,3,2,5,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>21
[6,7,8,4,3,2,5,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[8,7,6,3,4,2,5,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18
[7,8,6,3,4,2,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[8,6,7,3,4,2,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[7,6,8,3,4,2,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[6,7,8,3,4,2,5,1]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[7,6,8,4,2,3,5,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[6,7,8,4,2,3,5,1]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[8,7,6,3,2,4,5,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>17
[7,8,6,3,2,4,5,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[8,6,7,3,2,4,5,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[6,7,8,3,2,4,5,1]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[8,7,6,2,3,4,5,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[7,8,6,2,3,4,5,1]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[8,6,7,2,3,4,5,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[7,6,8,2,3,4,5,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[6,7,8,2,3,4,5,1]=>[[1,2,3,7],[4,5,6],[8]]=>16
[8,7,5,4,3,2,6,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>22
[7,8,5,4,3,2,6,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>23
[8,7,5,3,4,2,6,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18
[7,8,5,3,4,2,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[8,7,4,3,5,2,6,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18
[8,7,5,3,2,4,6,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>17
[8,7,4,3,2,5,6,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>17
[7,8,4,3,2,5,6,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[7,8,3,4,2,5,6,1]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[7,8,4,2,3,5,6,1]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[7,8,3,2,4,5,6,1]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[8,7,2,3,4,5,6,1]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[7,8,2,3,4,5,6,1]=>[[1,2,5,6,7],[3,4],[8]]=>11
[8,6,5,4,3,2,7,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>22
[8,5,6,4,3,2,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>20
[8,6,4,5,3,2,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>19
[8,5,4,6,3,2,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>19
[8,6,5,3,4,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18
[8,5,6,3,4,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,6,4,3,5,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18
[8,6,3,4,5,2,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>15
[8,5,4,3,6,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18
[8,4,5,3,6,2,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[8,4,3,5,6,2,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>15
[8,3,4,5,6,2,7,1]=>[[1,3,4,5,7],[2],[6],[8]]=>13
[8,6,5,4,2,3,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>17
[8,6,5,3,2,4,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>17
[8,6,4,3,2,5,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>17
[8,6,4,2,3,5,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[8,6,2,3,4,5,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[8,5,4,3,2,6,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>17
[8,4,5,3,2,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>15
[8,5,3,4,2,6,7,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>14
[8,3,4,5,2,6,7,1]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[8,5,4,2,3,6,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[8,4,5,2,3,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[8,4,3,2,5,6,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[8,3,4,2,5,6,7,1]=>[[1,3,5,6,7],[2],[4],[8]]=>11
[8,4,2,3,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[8,3,2,4,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[8,2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2],[8]]=>8
[7,6,5,4,3,2,8,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>22
[6,7,5,4,3,2,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>21
[7,5,6,4,3,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>20
[6,5,7,4,3,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>20
[5,6,7,4,3,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>19
[7,6,4,5,3,2,8,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>19
[6,7,4,5,3,2,8,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[7,4,5,6,3,2,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>17
[6,5,4,7,3,2,8,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>19
[6,4,5,7,3,2,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>17
[4,5,6,7,3,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[7,6,5,3,4,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18
[7,5,6,3,4,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[6,5,7,3,4,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[7,6,4,3,5,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18
[7,6,3,4,5,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>15
[7,5,4,3,6,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18
[7,4,5,3,6,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[7,5,3,4,6,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>15
[7,3,4,5,6,2,8,1]=>[[1,3,4,5,7],[2],[6],[8]]=>13
[6,5,4,3,7,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18
[6,4,5,3,7,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[5,4,6,3,7,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[4,5,6,3,7,2,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>15
[6,5,3,4,7,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>15
[5,6,3,4,7,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[6,4,3,5,7,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>15
[6,3,4,5,7,2,8,1]=>[[1,3,4,5,7],[2],[6],[8]]=>13
[5,4,3,6,7,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>15
[4,5,3,6,7,2,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[4,3,5,6,7,2,8,1]=>[[1,3,4,5,7],[2],[6],[8]]=>13
[3,4,5,6,7,2,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>12
[7,6,5,4,2,3,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>17
[6,7,5,4,2,3,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[7,5,6,4,2,3,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[6,5,7,4,2,3,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[5,6,7,4,2,3,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[7,6,4,5,2,3,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[6,7,4,5,2,3,8,1]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[7,5,4,6,2,3,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[7,4,5,6,2,3,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[6,5,4,7,2,3,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[5,6,4,7,2,3,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[5,4,6,7,2,3,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[4,5,6,7,2,3,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>15
[7,6,5,3,2,4,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>17
[6,7,5,3,2,4,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[6,5,7,3,2,4,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[7,6,5,2,3,4,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[7,5,6,2,3,4,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[5,6,7,2,3,4,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>16
[6,7,4,3,2,5,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[7,6,4,2,3,5,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[7,6,3,2,4,5,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[6,7,3,2,4,5,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[7,6,2,3,4,5,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[6,7,2,3,4,5,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>11
[7,5,4,3,2,6,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>17
[7,4,3,5,2,6,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>14
[7,5,4,2,3,6,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[7,4,5,2,3,6,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[7,5,3,2,4,6,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[7,5,2,3,4,6,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[7,4,3,2,5,6,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[7,3,2,4,5,6,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[7,2,3,4,5,6,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>8
[6,5,4,3,2,7,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>17
[5,4,6,3,2,7,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>15
[4,5,6,3,2,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[6,5,3,4,2,7,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>14
[6,3,4,5,2,7,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[5,4,3,6,2,7,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>14
[4,3,5,6,2,7,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[3,4,5,6,2,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>11
[6,5,4,2,3,7,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[5,6,4,2,3,7,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[6,4,5,2,3,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[5,4,6,2,3,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[4,5,6,2,3,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>13
[6,5,3,2,4,7,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[6,5,2,3,4,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[6,2,3,4,5,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>8
[5,4,3,2,6,7,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[4,5,3,2,6,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[5,3,4,2,6,7,8,1]=>[[1,3,5,6,7],[2],[4],[8]]=>11
[4,3,5,2,6,7,8,1]=>[[1,3,5,6,7],[2],[4],[8]]=>11
[3,4,5,2,6,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>10
[5,4,2,3,6,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[4,5,2,3,6,7,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>11
[5,3,2,4,6,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[5,2,3,4,6,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>8
[4,3,2,5,6,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[3,4,2,5,6,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>9
[4,2,3,5,6,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>8
[3,2,4,5,6,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>8
[2,3,4,5,6,7,8,1]=>[[1,2,3,4,5,6,7],[8]]=>7
[8,7,6,5,4,3,1,2]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>21
[7,8,6,5,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[8,6,7,5,4,3,1,2]=>[[1,3],[2,8],[4],[5],[6],[7]]=>20
[7,6,8,5,4,3,1,2]=>[[1,3],[2,8],[4],[5],[6],[7]]=>20
[6,7,8,5,4,3,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[8,7,5,6,4,3,1,2]=>[[1,4],[2,8],[3],[5],[6],[7]]=>19
[7,8,5,6,4,3,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[8,6,5,7,4,3,1,2]=>[[1,4],[2,8],[3],[5],[6],[7]]=>19
[7,6,5,8,4,3,1,2]=>[[1,4],[2,8],[3],[5],[6],[7]]=>19
[6,7,5,8,4,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[7,5,6,8,4,3,1,2]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[6,5,7,8,4,3,1,2]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[5,6,7,8,4,3,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[8,7,6,4,5,3,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>18
[7,8,6,4,5,3,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>21
[8,6,7,4,5,3,1,2]=>[[1,3],[2,5],[4,8],[6],[7]]=>18
[6,7,8,4,5,3,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[8,7,5,4,6,3,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>18
[8,5,6,4,7,3,1,2]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[8,6,4,5,7,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[8,5,4,6,7,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[7,6,5,4,8,3,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>18
[7,5,6,4,8,3,1,2]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[6,5,7,4,8,3,1,2]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[7,6,4,5,8,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[6,7,4,5,8,3,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[6,5,4,7,8,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[5,6,4,7,8,3,1,2]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[5,4,6,7,8,3,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[4,5,6,7,8,3,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>16
[8,7,6,5,3,4,1,2]=>[[1,6],[2,8],[3],[4],[5],[7]]=>17
[7,8,6,5,3,4,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[7,6,8,5,3,4,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>17
[6,7,8,5,3,4,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[8,7,5,6,3,4,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>24
[8,6,5,7,3,4,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[8,5,6,7,3,4,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[7,6,5,8,3,4,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[6,7,5,8,3,4,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[7,5,6,8,3,4,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[6,5,7,8,3,4,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[5,6,7,8,3,4,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>20
[6,7,8,4,3,5,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[8,7,6,3,4,5,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[8,6,7,3,4,5,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[7,8,5,4,3,6,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[8,7,4,5,3,6,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[7,8,4,5,3,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[7,8,5,3,4,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[8,7,4,3,5,6,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[7,8,4,3,5,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[8,7,3,4,5,6,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[7,8,3,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>16
[8,6,5,4,3,7,1,2]=>[[1,6],[2,8],[3],[4],[5],[7]]=>17
[8,5,4,6,3,7,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[8,5,4,3,6,7,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[8,5,3,4,6,7,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[8,4,3,5,6,7,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[8,3,4,5,6,7,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>11
[7,6,5,4,3,8,1,2]=>[[1,6],[2,8],[3],[4],[5],[7]]=>17
[7,5,6,4,3,8,1,2]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[5,6,7,4,3,8,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[6,7,4,5,3,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[7,5,4,6,3,8,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[6,5,4,7,3,8,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[5,6,4,7,3,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[4,5,6,7,3,8,1,2]=>[[1,2,3,4,6],[5,8],[7]]=>15
[7,6,5,3,4,8,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[7,6,4,3,5,8,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[7,6,3,4,5,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[7,5,4,3,6,8,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[7,4,5,3,6,8,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[7,5,3,4,6,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[7,3,4,5,6,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>11
[6,5,4,3,7,8,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[5,6,4,3,7,8,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[5,4,6,3,7,8,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[4,5,6,3,7,8,1,2]=>[[1,2,3,5,6],[4,8],[7]]=>14
[5,6,3,4,7,8,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>16
[6,4,3,5,7,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[6,3,4,5,7,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>11
[5,4,3,6,7,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[4,5,3,6,7,8,1,2]=>[[1,2,4,5,6],[3,8],[7]]=>13
[5,3,4,6,7,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>11
[4,3,5,6,7,8,1,2]=>[[1,3,4,5,6],[2,8],[7]]=>11
[3,4,5,6,7,8,1,2]=>[[1,2,3,4,5,6],[7,8]]=>12
[8,7,6,5,4,2,1,3]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>21
[7,8,6,5,4,2,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[8,6,7,5,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>20
[7,6,8,5,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>20
[6,7,8,5,4,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[8,7,5,6,4,2,1,3]=>[[1,4],[2,8],[3],[5],[6],[7]]=>19
[7,8,5,6,4,2,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[7,6,5,8,4,2,1,3]=>[[1,4],[2,8],[3],[5],[6],[7]]=>19
[6,7,5,8,4,2,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[7,5,6,8,4,2,1,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[6,5,7,8,4,2,1,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[5,6,7,8,4,2,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[8,7,6,4,5,2,1,3]=>[[1,5],[2,8],[3],[4],[6],[7]]=>18
[8,4,5,6,7,2,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[7,6,5,4,8,2,1,3]=>[[1,5],[2,8],[3],[4],[6],[7]]=>18
[6,7,5,4,8,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[6,5,7,4,8,2,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[5,6,7,4,8,2,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[7,6,4,5,8,2,1,3]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[7,4,5,6,8,2,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[5,4,6,7,8,2,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[4,5,6,7,8,2,1,3]=>[[1,2,3,4,5],[6,8],[7]]=>16
[8,7,6,5,4,1,2,3]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[7,8,6,5,4,1,2,3]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[7,6,8,5,4,1,2,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[6,7,8,5,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[7,8,5,6,4,1,2,3]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[8,6,5,7,4,1,2,3]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[8,5,6,7,4,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[7,6,5,8,4,1,2,3]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[6,7,5,8,4,1,2,3]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[7,5,6,8,4,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[6,5,7,8,4,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[5,6,7,8,4,1,2,3]=>[[1,2,3,4],[5,7,8],[6]]=>17
[8,7,6,4,5,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[8,6,7,4,5,1,2,3]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[6,7,8,4,5,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>19
[8,7,5,4,6,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[7,8,5,4,6,1,2,3]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[8,7,4,5,6,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[7,8,4,5,6,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>15
[8,6,5,4,7,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[8,5,6,4,7,1,2,3]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[8,6,4,5,7,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[8,5,4,6,7,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[8,4,5,6,7,1,2,3]=>[[1,3,4,5],[2,7,8],[6]]=>12
[7,6,5,4,8,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[6,7,5,4,8,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[6,5,7,4,8,1,2,3]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[5,6,7,4,8,1,2,3]=>[[1,2,3,5],[4,7,8],[6]]=>16
[6,7,4,5,8,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>15
[7,5,4,6,8,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[6,5,4,7,8,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[5,6,4,7,8,1,2,3]=>[[1,2,4,5],[3,7,8],[6]]=>15
[5,4,6,7,8,1,2,3]=>[[1,3,4,5],[2,7,8],[6]]=>12
[4,5,6,7,8,1,2,3]=>[[1,2,3,4,5],[6,7,8]]=>15
[8,7,6,5,3,2,1,4]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>21
[7,8,6,5,3,2,1,4]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[8,6,7,5,3,2,1,4]=>[[1,3],[2,8],[4],[5],[6],[7]]=>20
[7,6,8,5,3,2,1,4]=>[[1,3],[2,8],[4],[5],[6],[7]]=>20
[6,7,8,5,3,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[8,7,5,6,3,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>19
[7,8,5,6,3,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[8,6,5,7,3,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>19
[8,5,6,7,3,2,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[7,6,5,8,3,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>19
[6,7,5,8,3,2,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[7,5,6,8,3,2,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[6,5,7,8,3,2,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[5,6,7,8,3,2,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[8,7,6,5,2,3,1,4]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16
[7,8,6,5,2,3,1,4]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[8,6,7,5,2,3,1,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[7,6,8,5,2,3,1,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[6,7,8,5,2,3,1,4]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[8,7,5,6,2,3,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[7,8,5,6,2,3,1,4]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[8,6,5,7,2,3,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[8,5,6,7,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[7,6,5,8,2,3,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[6,7,5,8,2,3,1,4]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[7,5,6,8,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[6,5,7,8,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[5,6,7,8,2,3,1,4]=>[[1,2,3,4],[5,6,8],[7]]=>18
[8,7,6,5,3,1,2,4]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[7,8,6,5,3,1,2,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[8,6,7,5,3,1,2,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[7,6,8,5,3,1,2,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[8,7,5,6,3,1,2,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[7,8,5,6,3,1,2,4]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[7,6,5,8,3,1,2,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[6,7,5,8,3,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[7,5,6,8,3,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[6,5,7,8,3,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[5,6,7,8,3,1,2,4]=>[[1,2,3,4],[5,7,8],[6]]=>17
[8,7,6,5,2,1,3,4]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[7,8,6,5,2,1,3,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[7,6,8,5,2,1,3,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[6,7,8,5,2,1,3,4]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[8,7,5,6,2,1,3,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[7,8,5,6,2,1,3,4]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[8,6,5,7,2,1,3,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[8,5,6,7,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[7,6,5,8,2,1,3,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[6,7,5,8,2,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[7,5,6,8,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[6,5,7,8,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[5,6,7,8,2,1,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>17
[8,7,6,5,1,2,3,4]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[7,8,6,5,1,2,3,4]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[8,6,7,5,1,2,3,4]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[7,6,8,5,1,2,3,4]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[6,7,8,5,1,2,3,4]=>[[1,2,3,8],[4,6,7],[5]]=>13
[8,7,5,6,1,2,3,4]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[7,8,5,6,1,2,3,4]=>[[1,2,7,8],[3,4],[5,6]]=>12
[8,6,5,7,1,2,3,4]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,5,6,7,1,2,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>9
[7,6,5,8,1,2,3,4]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[6,7,5,8,1,2,3,4]=>[[1,2,4,8],[3,6,7],[5]]=>12
[7,5,6,8,1,2,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>9
[6,5,7,8,1,2,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>9
[5,6,7,8,1,2,3,4]=>[[1,2,3,4],[5,6,7,8]]=>16
[8,7,6,4,3,2,1,5]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>21
[7,8,6,4,3,2,1,5]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[8,6,7,4,3,2,1,5]=>[[1,3],[2,8],[4],[5],[6],[7]]=>20
[7,6,8,4,3,2,1,5]=>[[1,3],[2,8],[4],[5],[6],[7]]=>20
[6,7,8,4,3,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[8,7,6,3,4,2,1,5]=>[[1,5,8],[2],[3],[4],[6],[7]]=>17
[7,8,6,3,4,2,1,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[6,7,8,3,4,2,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[8,7,6,4,2,3,1,5]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16
[7,6,8,4,2,3,1,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[6,7,8,4,2,3,1,5]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[8,7,6,3,2,4,1,5]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16
[8,6,7,3,2,4,1,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[6,7,8,3,2,4,1,5]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[8,7,6,2,3,4,1,5]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[8,6,7,2,3,4,1,5]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[7,6,8,2,3,4,1,5]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[6,7,8,2,3,4,1,5]=>[[1,2,3,8],[4,5,6],[7]]=>15
[8,7,6,4,3,1,2,5]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[6,7,8,4,3,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[8,7,6,3,4,1,2,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[7,8,6,3,4,1,2,5]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[8,6,7,3,4,1,2,5]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[6,7,8,3,4,1,2,5]=>[[1,2,3],[4,5,8],[6,7]]=>19
[8,7,6,4,2,1,3,5]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[7,8,6,4,2,1,3,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[8,6,7,4,2,1,3,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[6,7,8,4,2,1,3,5]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[8,7,6,4,1,2,3,5]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[7,8,6,4,1,2,3,5]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[7,6,8,4,1,2,3,5]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[6,7,8,4,1,2,3,5]=>[[1,2,3,8],[4,6,7],[5]]=>13
[8,7,6,3,2,1,4,5]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[7,8,6,3,2,1,4,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[8,6,7,3,2,1,4,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[7,6,8,3,2,1,4,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[6,7,8,3,2,1,4,5]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[8,7,6,2,3,1,4,5]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[7,8,6,2,3,1,4,5]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[8,6,7,2,3,1,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[7,6,8,2,3,1,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[6,7,8,2,3,1,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>14
[8,7,6,3,1,2,4,5]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[7,8,6,3,1,2,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[8,6,7,3,1,2,4,5]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[7,6,8,3,1,2,4,5]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[6,7,8,3,1,2,4,5]=>[[1,2,3,8],[4,6,7],[5]]=>13
[8,7,6,2,1,3,4,5]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[7,8,6,2,1,3,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[8,6,7,2,1,3,4,5]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[6,7,8,2,1,3,4,5]=>[[1,2,3,8],[4,6,7],[5]]=>13
[8,7,6,1,2,3,4,5]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[7,8,6,1,2,3,4,5]=>[[1,2,6,7,8],[3,5],[4]]=>7
[8,6,7,1,2,3,4,5]=>[[1,3,6,7,8],[2,5],[4]]=>5
[7,6,8,1,2,3,4,5]=>[[1,3,6,7,8],[2,5],[4]]=>5
[6,7,8,1,2,3,4,5]=>[[1,2,3,7,8],[4,5,6]]=>9
[8,7,5,4,3,2,1,6]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>21
[7,8,5,4,3,2,1,6]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[8,7,4,5,3,2,1,6]=>[[1,4,8],[2],[3],[5],[6],[7]]=>18
[7,8,4,5,3,2,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[8,7,5,3,4,2,1,6]=>[[1,5,8],[2],[3],[4],[6],[7]]=>17
[8,7,3,4,5,2,1,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[7,8,3,4,5,2,1,6]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[8,7,4,5,2,3,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[7,8,4,5,2,3,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[8,7,5,3,2,4,1,6]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16
[7,8,5,2,3,4,1,6]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[8,7,4,3,2,5,1,6]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16
[7,8,4,3,2,5,1,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[8,7,3,4,2,5,1,6]=>[[1,4,6,8],[2],[3],[5],[7]]=>13
[7,8,3,4,2,5,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[8,7,2,3,4,5,1,6]=>[[1,4,5,6,8],[2],[3],[7]]=>9
[7,8,2,3,4,5,1,6]=>[[1,2,5,6,8],[3,4],[7]]=>10
[8,7,5,4,3,1,2,6]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[7,8,5,4,3,1,2,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[8,7,5,3,4,1,2,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[8,7,3,4,5,1,2,6]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[7,8,3,4,5,1,2,6]=>[[1,2,5,8],[3,4],[6,7]]=>14
[7,8,5,4,2,1,3,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[8,7,5,4,1,2,3,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[7,8,5,4,1,2,3,6]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[8,7,4,5,1,2,3,6]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[7,8,4,5,1,2,3,6]=>[[1,2,7,8],[3,4],[5,6]]=>12
[8,7,5,3,2,1,4,6]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[7,8,5,3,2,1,4,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[8,7,5,3,1,2,4,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[7,8,5,3,1,2,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[8,7,5,2,1,3,4,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[7,8,5,2,1,3,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[8,7,5,1,2,3,4,6]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[7,8,5,1,2,3,4,6]=>[[1,2,6,7,8],[3,5],[4]]=>7
[8,7,4,3,2,1,5,6]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[7,8,4,3,2,1,5,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[8,7,3,4,2,1,5,6]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[7,8,3,4,2,1,5,6]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[7,8,4,2,3,1,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[8,7,3,2,4,1,5,6]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[7,8,3,2,4,1,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[8,7,2,3,4,1,5,6]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[7,8,2,3,4,1,5,6]=>[[1,2,5,7,8],[3,4],[6]]=>9
[7,8,4,3,1,2,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[8,7,3,4,1,2,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[7,8,3,4,1,2,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>12
[8,7,4,2,1,3,5,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[7,8,4,2,1,3,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[8,7,4,1,2,3,5,6]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[7,8,4,1,2,3,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>7
[8,7,3,2,1,4,5,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[7,8,3,2,1,4,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[8,7,2,3,1,4,5,6]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[7,8,2,3,1,4,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>8
[7,8,3,1,2,4,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>7
[8,7,2,1,3,4,5,6]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[7,8,2,1,3,4,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>7
[8,7,1,2,3,4,5,6]=>[[1,4,5,6,7,8],[2],[3]]=>3
[7,8,1,2,3,4,5,6]=>[[1,2,5,6,7,8],[3,4]]=>4
[8,6,5,4,3,2,1,7]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>21
[8,5,6,4,3,2,1,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>19
[8,6,4,5,3,2,1,7]=>[[1,4,8],[2],[3],[5],[6],[7]]=>18
[8,4,5,6,3,2,1,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[8,6,5,3,4,2,1,7]=>[[1,5,8],[2],[3],[4],[6],[7]]=>17
[8,5,6,3,4,2,1,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[8,4,5,3,6,2,1,7]=>[[1,3,5,8],[2],[4],[6],[7]]=>15
[8,4,3,5,6,2,1,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[8,3,4,5,6,2,1,7]=>[[1,3,4,5,8],[2],[6],[7]]=>12
[8,6,5,4,2,3,1,7]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16
[8,5,6,4,2,3,1,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[8,4,5,6,2,3,1,7]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[8,6,5,3,2,4,1,7]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16
[8,6,5,2,3,4,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[8,5,6,2,3,4,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[8,6,4,2,3,5,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[8,6,3,2,4,5,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[8,5,4,3,2,6,1,7]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16
[8,4,3,5,2,6,1,7]=>[[1,4,6,8],[2],[3],[5],[7]]=>13
[8,5,4,2,3,6,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[8,4,5,2,3,6,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[8,5,3,2,4,6,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[8,5,2,3,4,6,1,7]=>[[1,4,5,6,8],[2],[3],[7]]=>9
[8,3,4,2,5,6,1,7]=>[[1,3,5,6,8],[2],[4],[7]]=>10
[8,3,2,4,5,6,1,7]=>[[1,4,5,6,8],[2],[3],[7]]=>9
[8,2,3,4,5,6,1,7]=>[[1,3,4,5,6,8],[2],[7]]=>7
[8,6,5,4,3,1,2,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[8,6,4,5,3,1,2,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[8,6,5,3,4,1,2,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[8,5,6,3,4,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[8,6,3,4,5,1,2,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[8,5,4,3,6,1,2,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[8,4,5,3,6,1,2,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[8,5,3,4,6,1,2,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[8,4,3,5,6,1,2,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[8,3,4,5,6,1,2,7]=>[[1,3,4,5,8],[2,7],[6]]=>9
[8,6,5,4,2,1,3,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[8,5,6,4,2,1,3,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[8,4,5,6,2,1,3,7]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[8,6,5,4,1,2,3,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[8,5,6,4,1,2,3,7]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[8,6,4,5,1,2,3,7]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,4,5,6,1,2,3,7]=>[[1,3,4,8],[2,6,7],[5]]=>9
[8,6,5,3,2,1,4,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[8,5,6,3,2,1,4,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[8,6,5,2,3,1,4,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[8,5,6,2,3,1,4,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[8,5,6,3,1,2,4,7]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[8,6,5,2,1,3,4,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[8,5,6,2,1,3,4,7]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[8,6,5,1,2,3,4,7]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[8,5,6,1,2,3,4,7]=>[[1,3,6,7,8],[2,5],[4]]=>5
[8,6,4,3,2,1,5,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[8,6,3,4,2,1,5,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[8,6,4,2,3,1,5,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[8,6,3,2,4,1,5,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[8,6,2,3,4,1,5,7]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[8,6,4,3,1,2,5,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[8,6,3,4,1,2,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,6,4,2,1,3,5,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[8,6,4,1,2,3,5,7]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[8,6,3,2,1,4,5,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[8,6,1,2,3,4,5,7]=>[[1,4,5,6,7,8],[2],[3]]=>3
[8,5,4,3,2,1,6,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[8,4,5,3,2,1,6,7]=>[[1,3,7,8],[2],[4],[5],[6]]=>13
[8,4,3,5,2,1,6,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[8,3,4,5,2,1,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[8,4,5,2,3,1,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[8,5,2,3,4,1,6,7]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[8,4,2,3,5,1,6,7]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[8,2,3,4,5,1,6,7]=>[[1,3,4,5,7,8],[2],[6]]=>6
[8,5,3,4,1,2,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,3,4,5,1,2,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>7
[8,5,4,2,1,3,6,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[8,5,4,1,2,3,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[8,4,5,1,2,3,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>5
[8,5,3,2,1,4,6,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[8,5,3,1,2,4,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[8,5,2,1,3,4,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[8,5,1,2,3,4,6,7]=>[[1,4,5,6,7,8],[2],[3]]=>3
[8,4,3,2,1,5,6,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[8,3,4,2,1,5,6,7]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[8,4,2,3,1,5,6,7]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[8,2,3,4,1,5,6,7]=>[[1,3,4,6,7,8],[2],[5]]=>5
[8,3,4,1,2,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>5
[8,4,2,1,3,5,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[8,4,1,2,3,5,6,7]=>[[1,4,5,6,7,8],[2],[3]]=>3
[8,3,2,1,4,5,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[8,2,3,1,4,5,6,7]=>[[1,3,5,6,7,8],[2],[4]]=>4
[8,3,1,2,4,5,6,7]=>[[1,4,5,6,7,8],[2],[3]]=>3
[8,2,1,3,4,5,6,7]=>[[1,4,5,6,7,8],[2],[3]]=>3
[8,1,2,3,4,5,6,7]=>[[1,3,4,5,6,7,8],[2]]=>1
[7,6,5,4,3,2,1,8]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>21
[6,7,5,4,3,2,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>20
[7,5,6,4,3,2,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>19
[6,5,7,4,3,2,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>19
[5,6,7,4,3,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[7,6,4,5,3,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>18
[6,7,4,5,3,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[7,5,4,6,3,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>18
[7,4,5,6,3,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[6,5,4,7,3,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>18
[5,6,4,7,3,2,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[5,4,6,7,3,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[4,5,6,7,3,2,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[7,6,5,3,4,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>17
[6,7,5,3,4,2,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[7,5,6,3,4,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[6,5,7,3,4,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[5,6,7,3,4,2,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[7,6,4,3,5,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>17
[6,7,4,3,5,2,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[7,6,3,4,5,2,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[7,5,4,3,6,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>17
[7,3,4,5,6,2,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>12
[6,5,4,3,7,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>17
[5,6,4,3,7,2,1,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>16
[5,4,6,3,7,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>15
[5,4,3,6,7,2,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[3,4,5,6,7,2,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>11
[7,6,5,4,2,3,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16
[6,7,5,4,2,3,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[7,5,6,4,2,3,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[5,6,7,4,2,3,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[7,6,4,5,2,3,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[6,7,4,5,2,3,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[7,5,4,6,2,3,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[6,5,4,7,2,3,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[5,6,4,7,2,3,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[5,4,6,7,2,3,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[4,5,6,7,2,3,1,8]=>[[1,2,3,4,8],[5,6],[7]]=>14
[7,6,5,3,2,4,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16
[6,5,7,3,2,4,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[5,6,7,3,2,4,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[7,6,5,2,3,4,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[6,7,5,2,3,4,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[7,5,6,2,3,4,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[6,5,7,2,3,4,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[5,6,7,2,3,4,1,8]=>[[1,2,3,8],[4,5,6],[7]]=>15
[7,6,4,3,2,5,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16
[6,7,4,3,2,5,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[6,7,3,4,2,5,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[7,6,4,2,3,5,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[6,7,4,2,3,5,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[7,6,3,2,4,5,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[6,7,3,2,4,5,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[7,6,2,3,4,5,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>9
[6,7,2,3,4,5,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>10
[7,5,4,3,2,6,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16
[7,4,5,3,2,6,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>14
[7,5,3,4,2,6,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>13
[7,4,3,5,2,6,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>13
[7,4,5,2,3,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[7,5,3,2,4,6,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[7,4,2,3,5,6,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>9
[7,2,3,4,5,6,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>7
[6,5,4,3,2,7,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16
[5,6,4,3,2,7,1,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>15
[5,4,6,3,2,7,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>14
[5,6,3,4,2,7,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[6,3,4,5,2,7,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[5,4,3,6,2,7,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>13
[4,5,3,6,2,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>12
[5,3,4,6,2,7,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[4,3,5,6,2,7,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[3,4,5,6,2,7,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>10
[5,4,6,2,3,7,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[6,5,3,2,4,7,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[6,4,2,3,5,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>9
[6,3,2,4,5,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>9
[6,2,3,4,5,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>7
[5,4,3,2,6,7,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[3,4,5,2,6,7,1,8]=>[[1,2,3,5,6,8],[4],[7]]=>9
[5,4,2,3,6,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>9
[4,5,2,3,6,7,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>10
[5,2,3,4,6,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>7
[4,3,2,5,6,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>9
[3,4,2,5,6,7,1,8]=>[[1,2,4,5,6,8],[3],[7]]=>8
[4,2,3,5,6,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>7
[3,2,4,5,6,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>7
[2,3,4,5,6,7,1,8]=>[[1,2,3,4,5,6,8],[7]]=>6
[7,6,5,4,3,1,2,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[6,7,5,4,3,1,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[7,5,6,4,3,1,2,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[7,6,4,5,3,1,2,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[5,4,6,7,3,1,2,8]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[4,5,6,7,3,1,2,8]=>[[1,2,3,4,8],[5,7],[6]]=>13
[7,6,5,3,4,1,2,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[6,7,3,4,5,1,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>14
[6,5,4,3,7,1,2,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[6,4,5,3,7,1,2,8]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[5,6,3,4,7,1,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>14
[6,3,4,5,7,1,2,8]=>[[1,3,4,5,8],[2,7],[6]]=>9
[4,3,5,6,7,1,2,8]=>[[1,3,4,5,8],[2,7],[6]]=>9
[3,4,5,6,7,1,2,8]=>[[1,2,3,4,5,8],[6,7]]=>10
[7,6,5,4,2,1,3,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[6,5,7,4,2,1,3,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[7,6,4,5,2,1,3,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[7,5,4,6,2,1,3,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[5,4,6,7,2,1,3,8]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[4,5,6,7,2,1,3,8]=>[[1,2,3,4,8],[5,7],[6]]=>13
[7,6,5,4,1,2,3,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[5,6,7,4,1,2,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>13
[7,4,5,6,1,2,3,8]=>[[1,3,4,8],[2,6,7],[5]]=>9
[5,4,6,7,1,2,3,8]=>[[1,3,4,8],[2,6,7],[5]]=>9
[4,5,6,7,1,2,3,8]=>[[1,2,3,4,8],[5,6,7]]=>12
[7,6,5,3,2,1,4,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[7,6,5,2,3,1,4,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[6,7,5,2,3,1,4,8]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[7,5,6,2,3,1,4,8]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[6,5,7,2,3,1,4,8]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[5,6,7,2,3,1,4,8]=>[[1,2,3,8],[4,5,7],[6]]=>14
[7,6,5,2,1,3,4,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[6,7,5,2,1,3,4,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[7,5,6,2,1,3,4,8]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[5,6,7,2,1,3,4,8]=>[[1,2,3,8],[4,6,7],[5]]=>13
[7,6,5,1,2,3,4,8]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[6,7,5,1,2,3,4,8]=>[[1,2,6,7,8],[3,5],[4]]=>7
[7,5,6,1,2,3,4,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[6,5,7,1,2,3,4,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[5,6,7,1,2,3,4,8]=>[[1,2,3,7,8],[4,5,6]]=>9
[7,6,4,3,2,1,5,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[6,7,4,3,2,1,5,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[7,6,3,4,2,1,5,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[6,7,3,4,2,1,5,8]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[7,6,4,2,3,1,5,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[7,6,3,2,4,1,5,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[6,7,3,2,4,1,5,8]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[7,6,2,3,4,1,5,8]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[6,7,2,3,4,1,5,8]=>[[1,2,5,7,8],[3,4],[6]]=>9
[7,6,4,3,1,2,5,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[6,7,3,4,1,2,5,8]=>[[1,2,7,8],[3,4],[5,6]]=>12
[7,6,4,2,1,3,5,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[7,6,3,2,1,4,5,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[6,7,3,2,1,4,5,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[7,6,2,3,1,4,5,8]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[6,7,2,3,1,4,5,8]=>[[1,2,6,7,8],[3,4],[5]]=>8
[6,7,3,1,2,4,5,8]=>[[1,2,6,7,8],[3,5],[4]]=>7
[7,6,1,2,3,4,5,8]=>[[1,4,5,6,7,8],[2],[3]]=>3
[6,7,1,2,3,4,5,8]=>[[1,2,5,6,7,8],[3,4]]=>4
[7,5,4,3,2,1,6,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[7,4,5,3,2,1,6,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>13
[7,4,3,5,2,1,6,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[7,3,4,5,2,1,6,8]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[7,5,4,2,3,1,6,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[7,5,3,2,4,1,6,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[7,5,2,3,4,1,6,8]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[7,4,2,3,5,1,6,8]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[7,2,3,4,5,1,6,8]=>[[1,3,4,5,7,8],[2],[6]]=>6
[7,5,4,3,1,2,6,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[7,4,5,2,1,3,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[7,4,5,1,2,3,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[7,5,3,2,1,4,6,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[7,5,2,3,1,4,6,8]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[7,5,3,1,2,4,6,8]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[7,5,1,2,3,4,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>3
[7,4,3,2,1,5,6,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[7,2,3,4,1,5,6,8]=>[[1,3,4,6,7,8],[2],[5]]=>5
[7,4,3,1,2,5,6,8]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[7,3,4,1,2,5,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[7,4,1,2,3,5,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>3
[7,3,2,1,4,5,6,8]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[7,2,3,1,4,5,6,8]=>[[1,3,5,6,7,8],[2],[4]]=>4
[7,3,1,2,4,5,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>3
[7,2,1,3,4,5,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>3
[7,1,2,3,4,5,6,8]=>[[1,3,4,5,6,7,8],[2]]=>1
[6,5,4,3,2,1,7,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>15
[5,6,4,3,2,1,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[5,4,6,3,2,1,7,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>13
[4,5,6,3,2,1,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[6,5,3,4,2,1,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[5,6,3,4,2,1,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[5,4,3,6,2,1,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[3,4,5,6,2,1,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>9
[5,4,6,2,3,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[5,6,3,2,4,1,7,8]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[6,5,2,3,4,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[5,6,2,3,4,1,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>9
[6,4,3,2,5,1,7,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[6,2,3,4,5,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>6
[5,4,3,2,6,1,7,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[4,5,3,2,6,1,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>10
[4,3,5,2,6,1,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>9
[3,4,5,2,6,1,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>8
[5,3,2,4,6,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[5,2,3,4,6,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>6
[4,3,2,5,6,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[3,4,2,5,6,1,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>7
[4,2,3,5,6,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>6
[3,2,4,5,6,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>6
[2,3,4,5,6,1,7,8]=>[[1,2,3,4,5,7,8],[6]]=>5
[6,5,4,3,1,2,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[6,4,5,3,1,2,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[5,4,6,3,1,2,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[5,6,3,4,1,2,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>12
[5,4,3,6,1,2,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[4,3,5,6,1,2,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>7
[3,4,5,6,1,2,7,8]=>[[1,2,3,4,7,8],[5,6]]=>8
[6,5,4,2,1,3,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[5,6,4,2,1,3,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[6,4,5,2,1,3,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[4,5,6,2,1,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>10
[6,5,4,1,2,3,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[4,5,6,1,2,3,7,8]=>[[1,2,3,7,8],[4,5,6]]=>9
[6,5,3,2,1,4,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[5,6,3,2,1,4,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[5,6,2,1,3,4,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>7
[6,4,3,2,1,5,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[6,3,4,2,1,5,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[6,4,3,1,2,5,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[6,4,2,1,3,5,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[6,4,1,2,3,5,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>3
[6,2,3,1,4,5,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>4
[6,3,1,2,4,5,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>3
[6,1,2,3,4,5,7,8]=>[[1,3,4,5,6,7,8],[2]]=>1
[5,4,3,2,1,6,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>10
[4,5,3,2,1,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[5,3,4,2,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[4,3,5,2,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[3,4,5,2,1,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>7
[5,4,2,3,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[4,5,2,3,1,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>8
[5,3,2,4,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[5,2,3,4,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>5
[4,3,2,5,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[3,4,2,5,1,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>6
[4,2,3,5,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>5
[3,2,4,5,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>5
[2,3,4,5,1,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>4
[5,4,3,1,2,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[5,3,4,1,2,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[4,3,5,1,2,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[3,4,5,1,2,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>6
[5,4,2,1,3,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[4,5,2,1,3,6,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>7
[5,4,1,2,3,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>3
[4,5,1,2,3,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>4
[5,3,2,1,4,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[5,2,3,1,4,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>4
[5,3,1,2,4,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>3
[5,2,1,3,4,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>3
[5,1,2,3,4,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>1
[4,3,2,1,5,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>6
[3,4,2,1,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>5
[4,2,3,1,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>4
[3,2,4,1,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>4
[2,3,4,1,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>3
[4,3,1,2,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>3
[3,4,1,2,5,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>4
[4,2,1,3,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>3
[4,1,2,3,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>1
[3,2,1,4,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>3
[2,3,1,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>2
[3,1,2,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>1
[2,1,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>1
[1,2,3,4,5,6,7,8]=>[[1,2,3,4,5,6,7,8]]=>0
[6,8,7,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>27
[5,8,7,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>27
[5,7,8,6,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[6,5,8,7,4,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>24
[5,6,8,7,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[5,7,6,8,4,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[4,8,7,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>27
[4,7,8,6,5,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[4,6,8,7,5,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[4,7,6,8,5,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[4,6,7,8,5,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[5,4,7,8,6,3,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[4,5,8,7,6,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[4,5,7,8,6,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[5,6,4,8,7,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[4,6,5,8,7,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[4,5,6,8,7,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[5,7,6,4,8,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>23
[4,7,6,5,8,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>23
[4,6,7,5,8,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>21
[5,4,7,6,8,3,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[4,5,7,6,8,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>21
[4,6,5,7,8,3,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[3,8,7,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>27
[3,7,8,6,5,4,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[3,6,8,7,5,4,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[3,7,6,8,5,4,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[3,5,8,7,6,4,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[3,5,7,8,6,4,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[3,5,6,8,7,4,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[3,7,6,5,8,4,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>23
[3,5,7,6,8,4,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>21
[3,5,6,7,8,4,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[4,3,8,7,6,5,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>24
[4,3,7,8,6,5,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[4,3,6,7,8,5,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[3,4,8,7,6,5,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[3,4,6,7,8,5,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[5,4,3,8,7,6,2,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[5,4,3,7,8,6,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[3,5,4,7,8,6,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[3,4,5,8,7,6,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[3,4,5,7,8,6,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[6,5,4,3,8,7,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>20
[5,6,4,3,8,7,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[4,5,6,3,8,7,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[3,6,5,4,8,7,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[4,3,6,5,8,7,2,1]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[5,4,3,6,8,7,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[4,5,3,6,8,7,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[3,4,5,6,8,7,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[5,7,6,4,3,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>22
[4,7,6,5,3,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>22
[5,4,7,6,3,8,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[3,7,6,5,4,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>22
[3,5,7,6,4,8,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>20
[3,5,6,7,4,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[4,3,7,6,5,8,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[3,4,7,6,5,8,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>20
[3,4,6,7,5,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[4,5,3,7,6,8,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[3,5,4,7,6,8,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[4,3,5,7,6,8,2,1]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[3,4,5,7,6,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[3,6,5,4,7,8,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[3,5,6,4,7,8,2,1]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[4,3,6,5,7,8,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[3,4,6,5,7,8,2,1]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[3,5,4,6,7,8,2,1]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[2,8,7,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>27
[2,7,8,6,5,4,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[2,6,8,7,5,4,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[2,7,6,8,5,4,3,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[2,6,7,8,5,4,3,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[2,5,8,7,6,4,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[2,6,7,5,8,4,3,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>21
[2,5,6,7,8,4,3,1]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[2,4,8,7,6,5,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[2,4,7,8,6,5,3,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[2,4,6,8,7,5,3,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[2,4,6,7,8,5,3,1]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[2,5,4,8,7,6,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[2,5,4,7,8,6,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[2,4,5,7,8,6,3,1]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[2,6,5,4,8,7,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[2,5,6,4,8,7,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[2,4,6,5,8,7,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[2,4,5,6,8,7,3,1]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[2,7,6,5,4,8,3,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>22
[2,5,6,7,4,8,3,1]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[2,4,7,6,5,8,3,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>20
[2,4,6,7,5,8,3,1]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[2,5,4,7,6,8,3,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[2,6,5,4,7,8,3,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[2,5,6,4,7,8,3,1]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[2,4,6,5,7,8,3,1]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[2,5,4,6,7,8,3,1]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[2,4,5,6,7,8,3,1]=>[[1,2,3,4,5,6],[7],[8]]=>13
[3,2,8,7,6,5,4,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>24
[3,2,7,8,6,5,4,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[3,2,6,8,7,5,4,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[3,2,5,7,8,6,4,1]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[3,2,5,7,6,8,4,1]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[3,2,5,6,7,8,4,1]=>[[1,3,4,5,6],[2,7],[8]]=>12
[2,3,8,7,6,5,4,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[2,3,6,7,8,5,4,1]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[2,3,5,7,8,6,4,1]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[2,3,6,5,8,7,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[2,3,5,6,8,7,4,1]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[2,3,7,6,5,8,4,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>20
[2,3,5,7,6,8,4,1]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[2,3,5,6,7,8,4,1]=>[[1,2,3,4,5,6],[7],[8]]=>13
[4,3,2,8,7,6,5,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[4,3,2,7,8,6,5,1]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[3,4,2,8,7,6,5,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[3,4,2,7,8,6,5,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[2,4,3,8,7,6,5,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[2,4,3,6,8,7,5,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[2,4,3,6,7,8,5,1]=>[[1,2,4,5,6],[3,7],[8]]=>14
[3,2,4,8,7,6,5,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[2,3,4,8,7,6,5,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[2,3,4,7,8,6,5,1]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[2,3,4,6,8,7,5,1]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[2,3,4,7,6,8,5,1]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[2,3,4,6,7,8,5,1]=>[[1,2,3,4,5,6],[7],[8]]=>13
[5,4,3,2,8,7,6,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[5,4,3,2,7,8,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[3,5,4,2,7,8,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[3,4,5,2,7,8,6,1]=>[[1,2,3,5,6],[4,7],[8]]=>15
[2,5,4,3,8,7,6,1]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[2,5,4,3,7,8,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[2,4,5,3,7,8,6,1]=>[[1,2,3,5,6],[4,7],[8]]=>15
[3,2,5,4,7,8,6,1]=>[[1,3,5,6],[2,4,7],[8]]=>11
[2,3,5,4,8,7,6,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[2,3,5,4,7,8,6,1]=>[[1,2,3,5,6],[4,7],[8]]=>15
[4,3,2,5,8,7,6,1]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[4,3,2,5,7,8,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[3,4,2,5,8,7,6,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[3,4,2,5,7,8,6,1]=>[[1,2,4,5,6],[3,7],[8]]=>14
[3,2,4,5,7,8,6,1]=>[[1,3,4,5,6],[2,7],[8]]=>12
[2,3,4,5,8,7,6,1]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[2,3,4,5,7,8,6,1]=>[[1,2,3,4,5,6],[7],[8]]=>13
[6,5,4,3,2,8,7,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>18
[4,6,5,3,2,8,7,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[5,4,6,3,2,8,7,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[4,5,6,3,2,8,7,1]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[3,6,5,4,2,8,7,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[3,5,6,4,2,8,7,1]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[4,3,6,5,2,8,7,1]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[5,4,3,6,2,8,7,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[4,5,3,6,2,8,7,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[3,4,5,6,2,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>16
[2,6,5,4,3,8,7,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[2,4,6,5,3,8,7,1]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[2,4,5,6,3,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>16
[3,2,6,5,4,8,7,1]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[2,3,5,6,4,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>16
[4,3,2,6,5,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[2,4,3,6,5,8,7,1]=>[[1,2,4,6],[3,5,7],[8]]=>16
[3,2,4,6,5,8,7,1]=>[[1,3,4,6],[2,5,7],[8]]=>13
[2,3,4,6,5,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>16
[5,4,3,2,6,8,7,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[2,5,4,3,6,8,7,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[2,4,5,3,6,8,7,1]=>[[1,2,3,5,6],[4,7],[8]]=>15
[3,2,5,4,6,8,7,1]=>[[1,3,5,6],[2,4,7],[8]]=>11
[4,3,2,5,6,8,7,1]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[3,4,2,5,6,8,7,1]=>[[1,2,4,5,6],[3,7],[8]]=>14
[2,4,3,5,6,8,7,1]=>[[1,2,4,5,6],[3,7],[8]]=>14
[3,2,4,5,6,8,7,1]=>[[1,3,4,5,6],[2,7],[8]]=>12
[2,3,4,5,6,8,7,1]=>[[1,2,3,4,5,6],[7],[8]]=>13
[5,7,6,4,3,2,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>21
[4,7,6,5,3,2,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>21
[4,6,7,5,3,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>19
[4,6,5,7,3,2,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>18
[3,5,7,6,4,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>19
[3,5,6,7,4,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[4,3,7,6,5,2,8,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[4,3,6,7,5,2,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[3,4,7,6,5,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>19
[3,4,6,7,5,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[5,4,3,7,6,2,8,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[3,5,4,7,6,2,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[3,4,5,7,6,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[4,6,5,3,7,2,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>17
[3,6,5,4,7,2,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>17
[3,5,6,4,7,2,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>15
[4,3,6,5,7,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[3,4,6,5,7,2,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>15
[3,5,4,6,7,2,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[2,7,6,5,4,3,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>21
[2,6,5,7,4,3,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>18
[2,5,6,7,4,3,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[2,4,6,7,5,3,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[2,5,4,7,6,3,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[2,4,6,5,7,3,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>15
[2,5,4,6,7,3,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[2,4,5,6,7,3,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>12
[3,2,7,6,5,4,8,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[3,2,6,7,5,4,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[3,2,5,7,6,4,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[3,2,6,5,7,4,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[3,2,5,6,7,4,8,1]=>[[1,3,4,5,7],[2,6],[8]]=>11
[2,3,7,6,5,4,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>19
[2,3,5,7,6,4,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[2,3,5,6,7,4,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>12
[4,3,2,7,6,5,8,1]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[4,3,2,6,7,5,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[3,4,2,7,6,5,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[3,4,2,6,7,5,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>13
[2,4,3,7,6,5,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[2,4,3,6,7,5,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>13
[3,2,4,7,6,5,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[2,3,4,7,6,5,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[2,3,4,6,7,5,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>12
[5,4,3,2,7,6,8,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[3,5,4,2,7,6,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[4,3,5,2,7,6,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[3,4,5,2,7,6,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>14
[2,5,4,3,7,6,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[3,2,5,4,7,6,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>10
[2,3,5,4,7,6,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>14
[4,3,2,5,7,6,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[3,4,2,5,7,6,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>13
[2,4,3,5,7,6,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>13
[3,2,4,5,7,6,8,1]=>[[1,3,4,5,7],[2,6],[8]]=>11
[2,3,4,5,7,6,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>12
[3,6,5,4,2,7,8,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>16
[3,5,6,4,2,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[3,4,6,5,2,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[3,5,4,6,2,7,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[2,6,5,4,3,7,8,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>16
[2,5,6,4,3,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[2,4,6,5,3,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[2,4,5,6,3,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>11
[3,2,5,6,4,7,8,1]=>[[1,3,4,6,7],[2,5],[8]]=>10
[2,3,6,5,4,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[2,3,5,6,4,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>11
[4,3,2,6,5,7,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[3,4,2,6,5,7,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>12
[2,4,3,6,5,7,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>12
[2,3,4,6,5,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>11
[3,5,4,2,6,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[2,5,4,3,6,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[2,4,5,3,6,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>10
[3,2,5,4,6,7,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>9
[2,3,5,4,6,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>10
[2,4,3,5,6,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>9
[1,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>27
[1,7,8,6,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[1,6,8,7,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[1,7,6,8,5,4,3,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[1,6,7,8,5,4,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[1,5,8,7,6,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[1,6,5,8,7,4,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[1,7,6,5,8,4,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>23
[1,6,7,5,8,4,3,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>21
[1,5,7,6,8,4,3,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>21
[1,6,5,7,8,4,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[1,5,6,7,8,4,3,2]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[1,4,8,7,6,5,3,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[1,4,7,8,6,5,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[1,4,6,8,7,5,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[1,4,6,7,8,5,3,2]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[1,5,4,7,8,6,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[1,4,5,8,7,6,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[1,4,6,5,8,7,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[1,7,6,5,4,8,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>22
[1,4,7,6,5,8,3,2]=>[[1,2,3,6],[4],[5],[7],[8]]=>20
[1,4,6,7,5,8,3,2]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[1,6,5,4,7,8,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[1,5,6,4,7,8,3,2]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[1,5,4,6,7,8,3,2]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[1,4,5,6,7,8,3,2]=>[[1,2,3,4,5,6],[7],[8]]=>13
[1,3,8,7,6,5,4,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[1,3,7,8,6,5,4,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[1,3,6,8,7,5,4,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[1,3,6,7,8,5,4,2]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[1,3,5,8,7,6,4,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[1,3,5,7,8,6,4,2]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[1,3,5,6,8,7,4,2]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[1,3,6,7,5,8,4,2]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[1,3,6,5,7,8,4,2]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[1,3,5,6,7,8,4,2]=>[[1,2,3,4,5,6],[7],[8]]=>13
[1,4,3,8,7,6,5,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[1,4,3,7,8,6,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[1,4,3,6,8,7,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[1,4,3,7,6,8,5,2]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[1,4,3,6,7,8,5,2]=>[[1,2,4,5,6],[3,7],[8]]=>14
[1,3,4,8,7,6,5,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[1,3,4,7,6,8,5,2]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[1,3,4,6,7,8,5,2]=>[[1,2,3,4,5,6],[7],[8]]=>13
[1,5,4,3,8,7,6,2]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[1,4,5,3,8,7,6,2]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[1,4,5,3,7,8,6,2]=>[[1,2,3,5,6],[4,7],[8]]=>15
[1,3,5,4,8,7,6,2]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[1,4,3,5,8,7,6,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[1,4,3,5,7,8,6,2]=>[[1,2,4,5,6],[3,7],[8]]=>14
[1,3,4,5,8,7,6,2]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[1,3,4,5,7,8,6,2]=>[[1,2,3,4,5,6],[7],[8]]=>13
[1,6,5,4,3,8,7,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[1,5,6,4,3,8,7,2]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[1,4,6,5,3,8,7,2]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[1,4,5,6,3,8,7,2]=>[[1,2,3,4,6],[5,7],[8]]=>16
[1,3,6,5,4,8,7,2]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[1,4,3,6,5,8,7,2]=>[[1,2,4,6],[3,5,7],[8]]=>16
[1,5,4,3,6,8,7,2]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[1,4,5,3,6,8,7,2]=>[[1,2,3,5,6],[4,7],[8]]=>15
[1,3,4,5,6,8,7,2]=>[[1,2,3,4,5,6],[7],[8]]=>13
[1,7,6,5,4,3,8,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>21
[1,6,7,5,4,3,8,2]=>[[1,2,3,7],[4],[5],[6],[8]]=>19
[1,6,5,7,4,3,8,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>18
[1,5,6,7,4,3,8,2]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[1,4,6,7,5,3,8,2]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[1,5,6,4,7,3,8,2]=>[[1,2,3,5,7],[4],[6],[8]]=>15
[1,4,6,5,7,3,8,2]=>[[1,2,3,5,7],[4],[6],[8]]=>15
[1,5,4,6,7,3,8,2]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[1,4,5,6,7,3,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>12
[1,3,6,5,7,4,8,2]=>[[1,2,3,5,7],[4],[6],[8]]=>15
[1,3,5,6,7,4,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>12
[1,3,4,7,6,5,8,2]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[1,3,4,6,7,5,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>12
[1,3,5,4,7,6,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>14
[1,3,4,5,7,6,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>12
[1,5,4,6,3,7,8,2]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[1,4,3,6,5,7,8,2]=>[[1,2,4,6,7],[3,5],[8]]=>12
[1,3,4,6,5,7,8,2]=>[[1,2,3,4,6,7],[5],[8]]=>11
[1,5,4,3,6,7,8,2]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[1,4,5,3,6,7,8,2]=>[[1,2,3,5,6,7],[4],[8]]=>10
[1,4,3,5,6,7,8,2]=>[[1,2,4,5,6,7],[3],[8]]=>9
[1,3,4,5,6,7,8,2]=>[[1,2,3,4,5,6,7],[8]]=>7
[2,1,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>24
[2,1,7,8,6,5,4,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[2,1,6,8,7,5,4,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[2,1,7,6,8,5,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[2,1,6,7,8,5,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[2,1,5,8,7,6,4,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[2,1,5,7,8,6,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[2,1,6,5,8,7,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[2,1,5,6,8,7,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[2,1,7,6,5,8,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[2,1,6,7,5,8,4,3]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[2,1,5,7,6,8,4,3]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[2,1,6,5,7,8,4,3]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[2,1,5,6,7,8,4,3]=>[[1,3,4,5,6],[2,7],[8]]=>12
[2,1,4,8,7,6,5,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[2,1,4,7,8,6,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[2,1,4,6,8,7,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[2,1,4,6,7,8,5,3]=>[[1,3,4,5,6],[2,7],[8]]=>12
[2,1,5,4,8,7,6,3]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[2,1,5,4,7,8,6,3]=>[[1,3,5,6],[2,4,7],[8]]=>11
[2,1,4,5,8,7,6,3]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[2,1,4,5,7,8,6,3]=>[[1,3,4,5,6],[2,7],[8]]=>12
[2,1,6,5,4,8,7,3]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[2,1,5,6,4,8,7,3]=>[[1,3,4,6],[2,5,7],[8]]=>13
[2,1,4,6,5,8,7,3]=>[[1,3,4,6],[2,5,7],[8]]=>13
[2,1,5,4,6,8,7,3]=>[[1,3,5,6],[2,4,7],[8]]=>11
[2,1,4,5,6,8,7,3]=>[[1,3,4,5,6],[2,7],[8]]=>12
[2,1,7,6,5,4,8,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[2,1,6,7,5,4,8,3]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[2,1,5,7,6,4,8,3]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[2,1,6,5,7,4,8,3]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[2,1,5,6,7,4,8,3]=>[[1,3,4,5,7],[2,6],[8]]=>11
[2,1,4,7,6,5,8,3]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[2,1,4,6,7,5,8,3]=>[[1,3,4,5,7],[2,6],[8]]=>11
[2,1,5,4,7,6,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>10
[2,1,5,6,4,7,8,3]=>[[1,3,4,6,7],[2,5],[8]]=>10
[2,1,5,4,6,7,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>9
[2,1,4,5,6,7,8,3]=>[[1,3,4,5,6,7],[2,8]]=>6
[1,2,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>25
[1,2,7,8,6,5,4,3]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[1,2,7,6,8,5,4,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>21
[1,2,6,7,8,5,4,3]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[1,2,5,8,7,6,4,3]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[1,2,6,5,8,7,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[1,2,5,6,8,7,4,3]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[1,2,7,6,5,8,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>20
[1,2,5,7,6,8,4,3]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[1,2,6,5,7,8,4,3]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[1,2,5,6,7,8,4,3]=>[[1,2,3,4,5,6],[7],[8]]=>13
[1,2,4,8,7,6,5,3]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[1,2,4,7,8,6,5,3]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[1,2,4,6,8,7,5,3]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[1,2,4,6,7,8,5,3]=>[[1,2,3,4,5,6],[7],[8]]=>13
[1,2,5,4,8,7,6,3]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[1,2,4,5,8,7,6,3]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[1,2,4,5,7,8,6,3]=>[[1,2,3,4,5,6],[7],[8]]=>13
[1,2,6,5,4,8,7,3]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[1,2,5,4,6,8,7,3]=>[[1,2,3,5,6],[4,7],[8]]=>15
[1,2,4,5,6,8,7,3]=>[[1,2,3,4,5,6],[7],[8]]=>13
[1,2,7,6,5,4,8,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>19
[1,2,5,7,6,4,8,3]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[1,2,5,6,7,4,8,3]=>[[1,2,3,4,5,7],[6],[8]]=>12
[1,2,4,7,6,5,8,3]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[1,2,5,4,7,6,8,3]=>[[1,2,3,5,7],[4,6],[8]]=>14
[1,2,6,5,4,7,8,3]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[1,2,5,6,4,7,8,3]=>[[1,2,3,4,6,7],[5],[8]]=>11
[1,2,5,4,6,7,8,3]=>[[1,2,3,5,6,7],[4],[8]]=>10
[1,2,4,5,6,7,8,3]=>[[1,2,3,4,5,6,7],[8]]=>7
[3,2,1,8,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[3,2,1,7,8,6,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[3,2,1,6,8,7,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[3,2,1,7,6,8,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[3,2,1,6,7,8,5,4]=>[[1,4,5,6],[2,7],[3,8]]=>10
[3,2,1,5,8,7,6,4]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[3,2,1,5,7,8,6,4]=>[[1,4,5,6],[2,7],[3,8]]=>10
[3,2,1,6,5,8,7,4]=>[[1,4,6],[2,5,7],[3,8]]=>9
[3,2,1,5,6,8,7,4]=>[[1,4,5,6],[2,7],[3,8]]=>10
[3,2,1,7,6,5,8,4]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[3,2,1,6,7,5,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>9
[3,2,1,5,7,6,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>9
[3,2,1,6,5,7,8,4]=>[[1,4,6,7],[2,5],[3,8]]=>8
[3,2,1,5,6,7,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>7
[2,3,1,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[2,3,1,7,8,6,5,4]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[2,3,1,6,8,7,5,4]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[2,3,1,7,6,8,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[2,3,1,6,7,8,5,4]=>[[1,2,4,5,6],[3,7],[8]]=>14
[2,3,1,5,7,8,6,4]=>[[1,2,4,5,6],[3,7],[8]]=>14
[2,3,1,6,5,8,7,4]=>[[1,2,4,6],[3,5,7],[8]]=>16
[2,3,1,7,6,5,8,4]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[2,3,1,6,7,5,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>13
[2,3,1,5,7,6,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>13
[2,3,1,5,6,7,8,4]=>[[1,2,4,5,6,7],[3,8]]=>8
[1,3,2,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[1,3,2,6,8,7,5,4]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[1,3,2,7,6,8,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[1,3,2,6,7,8,5,4]=>[[1,2,4,5,6],[3,7],[8]]=>14
[1,3,2,5,8,7,6,4]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[1,3,2,5,7,8,6,4]=>[[1,2,4,5,6],[3,7],[8]]=>14
[1,3,2,6,5,8,7,4]=>[[1,2,4,6],[3,5,7],[8]]=>16
[1,3,2,5,6,8,7,4]=>[[1,2,4,5,6],[3,7],[8]]=>14
[1,3,2,7,6,5,8,4]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[1,3,2,6,7,5,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>13
[1,3,2,6,5,7,8,4]=>[[1,2,4,6,7],[3,5],[8]]=>12
[1,3,2,5,6,7,8,4]=>[[1,2,4,5,6,7],[3,8]]=>8
[2,1,3,8,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[2,1,3,7,8,6,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[2,1,3,6,8,7,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[2,1,3,6,7,8,5,4]=>[[1,3,4,5,6],[2,7],[8]]=>12
[2,1,3,6,5,8,7,4]=>[[1,3,4,6],[2,5,7],[8]]=>13
[2,1,3,5,6,7,8,4]=>[[1,3,4,5,6,7],[2,8]]=>6
[1,2,3,8,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>22
[1,2,3,7,8,6,5,4]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[1,2,3,6,8,7,5,4]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[1,2,3,7,6,8,5,4]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[1,2,3,6,7,8,5,4]=>[[1,2,3,4,5,6],[7],[8]]=>13
[1,2,3,5,8,7,6,4]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[1,2,3,5,7,8,6,4]=>[[1,2,3,4,5,6],[7],[8]]=>13
[1,2,3,6,5,8,7,4]=>[[1,2,3,4,6],[5,7],[8]]=>16
[1,2,3,5,6,8,7,4]=>[[1,2,3,4,5,6],[7],[8]]=>13
[1,2,3,7,6,5,8,4]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[1,2,3,6,7,5,8,4]=>[[1,2,3,4,5,7],[6],[8]]=>12
[1,2,3,5,7,6,8,4]=>[[1,2,3,4,5,7],[6],[8]]=>12
[1,2,3,6,5,7,8,4]=>[[1,2,3,4,6,7],[5],[8]]=>11
[1,2,3,5,6,7,8,4]=>[[1,2,3,4,5,6,7],[8]]=>7
[4,3,2,1,8,7,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>12
[4,3,2,1,7,8,6,5]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[4,3,2,1,6,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[4,3,2,1,7,6,8,5]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[4,3,2,1,6,7,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[3,4,2,1,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[3,4,2,1,7,8,6,5]=>[[1,2,5,6],[3,7],[4,8]]=>14
[3,4,2,1,6,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>14
[3,4,2,1,7,6,8,5]=>[[1,2,5,7],[3,6],[4,8]]=>13
[3,4,2,1,6,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>10
[2,4,3,1,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[2,4,3,1,7,8,6,5]=>[[1,2,5,6],[3,7],[4,8]]=>14
[2,4,3,1,6,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>14
[2,4,3,1,7,6,8,5]=>[[1,2,5,7],[3,6],[4,8]]=>13
[2,4,3,1,6,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>10
[3,2,4,1,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[3,2,4,1,7,8,6,5]=>[[1,3,5,6],[2,7],[4,8]]=>11
[3,2,4,1,6,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>11
[3,2,4,1,7,6,8,5]=>[[1,3,5,7],[2,6],[4,8]]=>10
[3,2,4,1,6,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>8
[2,3,4,1,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[2,3,4,1,7,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>15
[2,3,4,1,6,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>15
[2,3,4,1,7,6,8,5]=>[[1,2,3,5,7],[4,6],[8]]=>14
[2,3,4,1,6,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>9
[1,4,3,2,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[1,4,3,2,6,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>14
[1,4,3,2,7,6,8,5]=>[[1,2,5,7],[3,6],[4,8]]=>13
[1,4,3,2,6,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>10
[1,3,4,2,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[1,3,4,2,7,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>15
[1,3,4,2,6,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>15
[1,3,4,2,7,6,8,5]=>[[1,2,3,5,7],[4,6],[8]]=>14
[1,3,4,2,6,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>9
[2,1,4,3,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[2,1,4,3,7,8,6,5]=>[[1,3,5,6],[2,4,7],[8]]=>11
[2,1,4,3,6,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>11
[2,1,4,3,7,6,8,5]=>[[1,3,5,7],[2,4,6],[8]]=>10
[2,1,4,3,6,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>5
[1,2,4,3,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[1,2,4,3,7,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>15
[1,2,4,3,6,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>15
[1,2,4,3,7,6,8,5]=>[[1,2,3,5,7],[4,6],[8]]=>14
[1,2,4,3,6,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>9
[3,2,1,4,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[3,2,1,4,7,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>10
[3,2,1,4,6,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>10
[3,2,1,4,7,6,8,5]=>[[1,4,5,7],[2,6],[3,8]]=>9
[3,2,1,4,6,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>7
[2,3,1,4,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[2,3,1,4,7,8,6,5]=>[[1,2,4,5,6],[3,7],[8]]=>14
[2,3,1,4,7,6,8,5]=>[[1,2,4,5,7],[3,6],[8]]=>13
[2,3,1,4,6,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>8
[1,3,2,4,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[1,3,2,4,6,8,7,5]=>[[1,2,4,5,6],[3,7],[8]]=>14
[1,3,2,4,7,6,8,5]=>[[1,2,4,5,7],[3,6],[8]]=>13
[1,3,2,4,6,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>8
[2,1,3,4,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[2,1,3,4,7,8,6,5]=>[[1,3,4,5,6],[2,7],[8]]=>12
[2,1,3,4,7,6,8,5]=>[[1,3,4,5,7],[2,6],[8]]=>11
[2,1,3,4,6,7,8,5]=>[[1,3,4,5,6,7],[2,8]]=>6
[1,2,3,4,8,7,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>18
[1,2,3,4,7,8,6,5]=>[[1,2,3,4,5,6],[7],[8]]=>13
[1,2,3,4,6,8,7,5]=>[[1,2,3,4,5,6],[7],[8]]=>13
[1,2,3,4,7,6,8,5]=>[[1,2,3,4,5,7],[6],[8]]=>12
[1,2,3,4,6,7,8,5]=>[[1,2,3,4,5,6,7],[8]]=>7
[5,4,3,2,1,8,7,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[5,4,3,2,1,7,8,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[4,5,3,2,1,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[3,5,4,2,1,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[3,5,4,2,1,7,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[4,3,5,2,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[3,4,5,2,1,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>16
[2,5,4,3,1,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[2,5,4,3,1,7,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[2,4,5,3,1,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>16
[2,4,5,3,1,7,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>12
[3,2,5,4,1,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>13
[3,2,5,4,1,7,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>8
[2,3,5,4,1,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>16
[4,3,2,5,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[4,3,2,5,1,7,8,6]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[3,4,2,5,1,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>15
[3,4,2,5,1,7,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>11
[2,4,3,5,1,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>15
[2,4,3,5,1,7,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>11
[3,2,4,5,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>12
[2,3,4,5,1,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>16
[2,3,4,5,1,7,8,6]=>[[1,2,3,4,6,7],[5,8]]=>10
[1,5,4,3,2,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[1,5,4,3,2,7,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[1,4,5,3,2,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>16
[1,4,5,3,2,7,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>12
[1,3,5,4,2,7,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>12
[1,3,4,5,2,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>16
[1,3,4,5,2,7,8,6]=>[[1,2,3,4,6,7],[5,8]]=>10
[2,1,5,4,3,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>13
[2,1,4,5,3,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>13
[1,2,5,4,3,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>16
[1,2,5,4,3,7,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>12
[1,2,4,5,3,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>16
[1,2,4,5,3,7,8,6]=>[[1,2,3,4,6,7],[5,8]]=>10
[1,3,2,5,4,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>16
[1,3,2,5,4,7,8,6]=>[[1,2,4,6,7],[3,5,8]]=>10
[2,1,3,5,4,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>13
[2,1,3,5,4,7,8,6]=>[[1,3,4,6,7],[2,5,8]]=>7
[1,2,3,5,4,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>16
[1,2,3,5,4,7,8,6]=>[[1,2,3,4,6,7],[5,8]]=>10
[4,3,2,1,5,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[4,3,2,1,5,7,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[2,4,3,1,5,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>14
[3,2,4,1,5,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>11
[3,2,4,1,5,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>8
[2,3,4,1,5,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>15
[2,3,4,1,5,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>9
[1,4,3,2,5,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>14
[1,4,3,2,5,7,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>10
[1,3,4,2,5,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>9
[2,1,4,3,5,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>11
[2,1,4,3,5,7,8,6]=>[[1,3,5,6,7],[2,4,8]]=>5
[1,2,4,3,5,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>15
[1,2,4,3,5,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>9
[3,2,1,4,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>10
[3,2,1,4,5,7,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>7
[2,3,1,4,5,7,8,6]=>[[1,2,4,5,6,7],[3,8]]=>8
[1,3,2,4,5,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>14
[1,3,2,4,5,7,8,6]=>[[1,2,4,5,6,7],[3,8]]=>8
[2,1,3,4,5,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>12
[2,1,3,4,5,7,8,6]=>[[1,3,4,5,6,7],[2,8]]=>6
[1,2,3,4,5,8,7,6]=>[[1,2,3,4,5,6],[7],[8]]=>13
[1,2,3,4,5,7,8,6]=>[[1,2,3,4,5,6,7],[8]]=>7
[6,5,4,3,2,1,8,7]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[5,6,4,3,2,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[4,6,5,3,2,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[5,4,6,3,2,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[4,5,6,3,2,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[3,6,5,4,2,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[3,5,6,4,2,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[4,3,6,5,2,1,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[3,4,6,5,2,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[5,4,3,6,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[4,5,3,6,2,1,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[4,3,5,6,2,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[3,4,5,6,2,1,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>14
[2,6,5,4,3,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[2,5,6,4,3,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[2,4,6,5,3,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[3,2,6,5,4,1,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[3,2,5,6,4,1,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>11
[2,3,6,5,4,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[2,3,5,6,4,1,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>14
[4,3,2,6,5,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[3,4,2,6,5,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>14
[2,4,3,6,5,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>14
[5,4,3,2,6,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[4,5,3,2,6,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[3,5,4,2,6,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[4,3,5,2,6,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[3,4,5,2,6,1,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>13
[2,5,4,3,6,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[2,4,5,3,6,1,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>13
[3,2,5,4,6,1,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>9
[4,3,2,5,6,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[3,4,2,5,6,1,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>12
[2,4,3,5,6,1,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>12
[2,3,4,5,6,1,8,7]=>[[1,2,3,4,5,7],[6,8]]=>11
[1,6,5,4,3,2,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[1,5,6,4,3,2,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[1,5,4,6,3,2,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[1,3,6,5,4,2,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[1,3,4,5,6,2,8,7]=>[[1,2,3,4,5,7],[6,8]]=>11
[2,1,6,5,4,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[2,1,5,6,4,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>11
[2,1,4,6,5,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>11
[2,1,5,4,6,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>9
[2,1,4,5,6,3,8,7]=>[[1,3,4,5,7],[2,6,8]]=>8
[1,2,4,5,6,3,8,7]=>[[1,2,3,4,5,7],[6,8]]=>11
[3,2,1,6,5,4,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>7
[2,3,1,6,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>14
[1,3,2,6,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>14
[1,3,2,5,6,4,8,7]=>[[1,2,4,5,7],[3,6,8]]=>11
[2,1,3,5,6,4,8,7]=>[[1,3,4,5,7],[2,6,8]]=>8
[1,2,3,6,5,4,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>14
[1,2,3,5,6,4,8,7]=>[[1,2,3,4,5,7],[6,8]]=>11
[4,3,2,1,6,5,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[3,4,2,1,6,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>12
[2,4,3,1,6,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>12
[3,2,4,1,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>9
[2,3,4,1,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>12
[1,3,4,2,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>12
[2,1,4,3,6,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>4
[1,2,4,3,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>12
[2,3,1,4,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>11
[1,3,2,4,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>11
[2,1,3,4,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>8
[1,2,3,4,6,5,8,7]=>[[1,2,3,4,5,7],[6,8]]=>11
[5,4,3,2,1,6,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[4,5,3,2,1,6,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[3,5,4,2,1,6,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[4,3,5,2,1,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[3,4,5,2,1,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>12
[2,5,4,3,1,6,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[2,4,5,3,1,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>12
[3,2,5,4,1,6,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>8
[2,3,5,4,1,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>12
[2,4,3,5,1,6,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>11
[2,3,4,5,1,6,8,7]=>[[1,2,3,4,6,7],[5,8]]=>10
[1,4,5,3,2,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>12
[1,3,5,4,2,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>12
[2,1,4,5,3,6,8,7]=>[[1,3,4,6,7],[2,5,8]]=>7
[1,2,5,4,3,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>12
[2,1,3,5,4,6,8,7]=>[[1,3,4,6,7],[2,5,8]]=>7
[1,2,3,5,4,6,8,7]=>[[1,2,3,4,6,7],[5,8]]=>10
[4,3,2,1,5,6,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[3,2,4,1,5,6,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>8
[2,3,4,1,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>9
[1,4,3,2,5,6,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>10
[1,3,4,2,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>9
[2,1,4,3,5,6,8,7]=>[[1,3,5,6,7],[2,4,8]]=>5
[1,2,4,3,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>9
[3,2,1,4,5,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>7
[2,3,1,4,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>8
[1,3,2,4,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>8
[2,1,3,4,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>6
[1,2,3,4,5,6,8,7]=>[[1,2,3,4,5,6,7],[8]]=>7
[5,7,6,4,3,2,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>20
[4,7,6,5,3,2,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>20
[4,6,7,5,3,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[5,4,7,6,3,2,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[4,5,7,6,3,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[4,6,5,7,3,2,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[3,5,7,6,4,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[3,5,6,7,4,2,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[4,3,7,6,5,2,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[3,4,7,6,5,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[5,4,3,7,6,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[4,5,3,7,6,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[3,5,4,7,6,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[4,3,5,7,6,2,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[3,6,5,4,7,2,1,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>16
[3,5,6,4,7,2,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>14
[4,3,6,5,7,2,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[2,7,6,5,4,3,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>20
[2,6,7,5,4,3,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[2,5,7,6,4,3,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[2,5,6,7,4,3,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[2,4,6,7,5,3,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[2,5,4,7,6,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[2,5,6,4,7,3,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>14
[2,5,4,6,7,3,1,8]=>[[1,2,4,5,8],[3],[6],[7]]=>13
[2,4,5,6,7,3,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>11
[3,2,7,6,5,4,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[3,2,6,7,5,4,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[3,2,5,7,6,4,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[3,2,6,5,7,4,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[3,2,5,6,7,4,1,8]=>[[1,3,4,5,8],[2,6],[7]]=>10
[2,3,7,6,5,4,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[2,3,6,7,5,4,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[2,3,5,7,6,4,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[2,3,6,5,7,4,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>14
[2,3,5,6,7,4,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>11
[4,3,2,6,7,5,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[3,4,2,7,6,5,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[3,4,2,6,7,5,1,8]=>[[1,2,4,5,8],[3,6],[7]]=>12
[3,2,4,6,7,5,1,8]=>[[1,3,4,5,8],[2,6],[7]]=>10
[2,3,4,7,6,5,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[2,3,4,6,7,5,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>11
[5,4,3,2,7,6,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[4,5,3,2,7,6,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[3,5,4,2,7,6,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[4,3,5,2,7,6,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[3,4,5,2,7,6,1,8]=>[[1,2,3,5,8],[4,6],[7]]=>13
[3,2,5,4,7,6,1,8]=>[[1,3,5,8],[2,4,6],[7]]=>9
[4,3,2,5,7,6,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[3,4,2,5,7,6,1,8]=>[[1,2,4,5,8],[3,6],[7]]=>12
[2,3,4,5,7,6,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>11
[3,6,5,4,2,7,1,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>15
[3,5,6,4,2,7,1,8]=>[[1,2,3,6,8],[4],[5],[7]]=>13
[3,4,6,5,2,7,1,8]=>[[1,2,3,6,8],[4],[5],[7]]=>13
[3,5,4,6,2,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>12
[2,5,4,6,3,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>12
[3,2,6,5,4,7,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[2,3,5,6,4,7,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>10
[4,3,2,6,5,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[3,4,2,6,5,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[2,4,3,6,5,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[2,3,4,6,5,7,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>10
[3,5,4,2,6,7,1,8]=>[[1,2,5,6,8],[3],[4],[7]]=>11
[2,5,4,3,6,7,1,8]=>[[1,2,5,6,8],[3],[4],[7]]=>11
[2,3,5,4,6,7,1,8]=>[[1,2,3,5,6,8],[4],[7]]=>9
[1,7,6,5,4,3,2,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>20
[1,6,7,5,4,3,2,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[1,6,5,7,4,3,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[1,5,6,7,4,3,2,8]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[1,4,7,6,5,3,2,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[1,4,6,7,5,3,2,8]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[1,5,6,4,7,3,2,8]=>[[1,2,3,5,8],[4],[6],[7]]=>14
[1,4,6,5,7,3,2,8]=>[[1,2,3,5,8],[4],[6],[7]]=>14
[1,5,4,6,7,3,2,8]=>[[1,2,4,5,8],[3],[6],[7]]=>13
[1,4,5,6,7,3,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>11
[1,3,6,7,5,4,2,8]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[1,3,5,7,6,4,2,8]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[1,3,6,5,7,4,2,8]=>[[1,2,3,5,8],[4],[6],[7]]=>14
[1,3,5,6,7,4,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>11
[1,3,4,6,7,5,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>11
[1,3,5,4,7,6,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>13
[1,4,3,5,7,6,2,8]=>[[1,2,4,5,8],[3,6],[7]]=>12
[1,3,4,5,7,6,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>11
[1,5,4,6,3,7,2,8]=>[[1,2,4,6,8],[3],[5],[7]]=>12
[1,3,6,5,4,7,2,8]=>[[1,2,3,6,8],[4],[5],[7]]=>13
[1,3,5,6,4,7,2,8]=>[[1,2,3,4,6,8],[5],[7]]=>10
[1,4,3,6,5,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,5,4,3,6,7,2,8]=>[[1,2,5,6,8],[3],[4],[7]]=>11
[1,4,5,3,6,7,2,8]=>[[1,2,3,5,6,8],[4],[7]]=>9
[1,3,4,5,6,7,2,8]=>[[1,2,3,4,5,6,8],[7]]=>6
[2,1,7,6,5,4,3,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[2,1,6,7,5,4,3,8]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[2,1,5,6,7,4,3,8]=>[[1,3,4,5,8],[2,6],[7]]=>10
[2,1,4,5,6,7,3,8]=>[[1,3,4,5,6,8],[2,7]]=>5
[1,2,7,6,5,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[1,2,6,7,5,4,3,8]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[1,2,5,7,6,4,3,8]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[1,2,5,6,7,4,3,8]=>[[1,2,3,4,5,8],[6],[7]]=>11
[1,2,4,6,7,5,3,8]=>[[1,2,3,4,5,8],[6],[7]]=>11
[1,2,5,6,4,7,3,8]=>[[1,2,3,4,6,8],[5],[7]]=>10
[1,2,5,4,6,7,3,8]=>[[1,2,3,5,6,8],[4],[7]]=>9
[1,2,4,5,6,7,3,8]=>[[1,2,3,4,5,6,8],[7]]=>6
[3,2,1,7,6,5,4,8]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[3,2,1,5,7,6,4,8]=>[[1,4,5,8],[2,6],[3,7]]=>8
[2,3,1,6,7,5,4,8]=>[[1,2,4,5,8],[3,6],[7]]=>12
[2,3,1,6,5,7,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[2,3,1,5,6,7,4,8]=>[[1,2,4,5,6,8],[3,7]]=>7
[1,3,2,7,6,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[1,3,2,6,7,5,4,8]=>[[1,2,4,5,8],[3,6],[7]]=>12
[1,3,2,5,7,6,4,8]=>[[1,2,4,5,8],[3,6],[7]]=>12
[1,3,2,6,5,7,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,3,2,5,6,7,4,8]=>[[1,2,4,5,6,8],[3,7]]=>7
[2,1,3,6,7,5,4,8]=>[[1,3,4,5,8],[2,6],[7]]=>10
[1,2,3,7,6,5,4,8]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[1,2,3,6,7,5,4,8]=>[[1,2,3,4,5,8],[6],[7]]=>11
[1,2,3,5,7,6,4,8]=>[[1,2,3,4,5,8],[6],[7]]=>11
[1,2,3,6,5,7,4,8]=>[[1,2,3,4,6,8],[5],[7]]=>10
[1,2,3,5,6,7,4,8]=>[[1,2,3,4,5,6,8],[7]]=>6
[4,3,2,1,7,6,5,8]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[4,3,2,1,6,7,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[3,2,4,1,7,6,5,8]=>[[1,3,5,8],[2,6],[4,7]]=>9
[3,2,4,1,6,7,5,8]=>[[1,3,5,6,8],[2,7],[4]]=>7
[2,3,4,1,7,6,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>13
[2,3,4,1,6,7,5,8]=>[[1,2,3,5,6,8],[4,7]]=>8
[1,4,3,2,7,6,5,8]=>[[1,2,5,8],[3,6],[4,7]]=>12
[1,4,3,2,6,7,5,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,3,4,2,6,7,5,8]=>[[1,2,3,5,6,8],[4,7]]=>8
[1,2,4,3,6,7,5,8]=>[[1,2,3,5,6,8],[4,7]]=>8
[3,2,1,4,7,6,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>8
[2,3,1,4,6,7,5,8]=>[[1,2,4,5,6,8],[3,7]]=>7
[1,3,2,4,7,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>12
[1,2,3,4,7,6,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>11
[1,2,3,4,6,7,5,8]=>[[1,2,3,4,5,6,8],[7]]=>6
[5,4,3,2,1,7,6,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[4,5,3,2,1,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[3,5,4,2,1,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[3,4,5,2,1,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[2,5,4,3,1,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[2,4,5,3,1,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[3,2,5,4,1,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>7
[2,3,5,4,1,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[3,4,2,5,1,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[2,4,3,5,1,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[2,3,4,5,1,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>9
[1,5,4,3,2,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[1,4,5,3,2,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[1,3,5,4,2,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[1,4,3,5,2,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,3,4,5,2,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>9
[2,1,5,4,3,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>7
[1,2,4,5,3,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>9
[3,2,1,5,4,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>5
[2,3,1,5,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>9
[1,3,2,5,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>9
[1,2,3,5,4,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>9
[4,3,2,1,5,7,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[3,2,4,1,5,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>7
[2,3,4,1,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>8
[1,4,3,2,5,7,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,3,4,2,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>8
[1,2,4,3,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>8
[2,3,1,4,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>7
[1,3,2,4,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>7
[2,1,3,4,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>5
[1,2,3,4,5,7,6,8]=>[[1,2,3,4,5,6,8],[7]]=>6
[3,6,5,4,2,1,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[4,3,6,5,2,1,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[2,4,6,5,3,1,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[2,4,5,6,3,1,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>9
[2,3,6,5,4,1,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[2,3,5,6,4,1,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>9
[4,3,2,6,5,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[2,4,3,6,5,1,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[2,3,4,6,5,1,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>9
[3,5,4,2,6,1,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>10
[2,3,5,4,6,1,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>8
[1,6,5,4,3,2,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[1,5,6,4,3,2,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[1,4,6,5,3,2,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[1,5,4,6,3,2,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>11
[1,4,5,6,3,2,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>9
[1,3,5,6,4,2,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>9
[1,4,3,6,5,2,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,5,4,3,6,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>10
[1,4,5,3,6,2,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>8
[1,4,3,5,6,2,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>7
[1,3,4,5,6,2,7,8]=>[[1,2,3,4,5,7,8],[6]]=>5
[2,1,5,6,4,3,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>8
[2,1,4,6,5,3,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>8
[1,2,6,5,4,3,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[1,2,5,6,4,3,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>9
[1,2,4,6,5,3,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>9
[1,2,4,5,6,3,7,8]=>[[1,2,3,4,5,7,8],[6]]=>5
[3,2,1,6,5,4,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>6
[3,2,1,5,6,4,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>5
[2,3,1,6,5,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[2,3,1,5,6,4,7,8]=>[[1,2,4,5,7,8],[3,6]]=>6
[1,3,2,6,5,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,3,2,5,6,4,7,8]=>[[1,2,4,5,7,8],[3,6]]=>6
[1,2,3,6,5,4,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>9
[1,2,3,5,6,4,7,8]=>[[1,2,3,4,5,7,8],[6]]=>5
[4,3,2,1,6,5,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[2,4,3,1,6,5,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[3,2,4,1,6,5,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>6
[2,3,4,1,6,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>7
[2,1,4,3,6,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>3
[1,2,4,3,6,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>7
[1,3,2,4,6,5,7,8]=>[[1,2,4,5,7,8],[3,6]]=>6
[2,1,3,4,6,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>4
[1,2,3,4,6,5,7,8]=>[[1,2,3,4,5,7,8],[6]]=>5
[3,5,4,2,1,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[2,5,4,3,1,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[2,4,5,3,1,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>7
[3,2,5,4,1,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[2,3,5,4,1,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>7
[2,4,3,5,1,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>6
[1,5,4,3,2,6,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[1,4,5,3,2,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>7
[1,3,4,5,2,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>4
[2,1,5,4,3,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[2,1,4,5,3,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>3
[1,2,5,4,3,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>7
[3,2,1,5,4,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[2,3,1,5,4,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>5
[1,3,2,5,4,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>5
[1,2,3,5,4,6,7,8]=>[[1,2,3,4,6,7,8],[5]]=>4
[2,4,3,1,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>5
[1,4,3,2,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>5
[1,3,4,2,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>3
[2,1,4,3,5,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>2
[1,2,4,3,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>3
[1,3,2,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>2
[1,2,3,4,8,6,7,5]=>[[1,2,3,4,5,7],[6],[8]]=>12
[1,2,3,5,8,6,7,4]=>[[1,2,3,4,5,7],[6],[8]]=>12
[1,2,3,7,5,6,4,8]=>[[1,2,3,4,6,8],[5],[7]]=>10
[1,2,3,7,5,6,8,4]=>[[1,2,3,4,6,7],[5],[8]]=>11
[1,2,3,8,5,6,7,4]=>[[1,2,3,4,6,7],[5],[8]]=>11
[1,2,3,8,5,7,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[1,2,3,8,6,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[1,2,3,8,6,7,5,4]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[1,2,4,5,8,6,7,3]=>[[1,2,3,4,5,7],[6],[8]]=>12
[1,2,4,7,5,6,8,3]=>[[1,2,3,4,6,7],[5],[8]]=>11
[1,2,4,8,5,6,7,3]=>[[1,2,3,4,6,7],[5],[8]]=>11
[1,2,4,8,6,5,7,3]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[1,2,5,4,8,6,7,3]=>[[1,2,3,5,7],[4,6],[8]]=>14
[1,2,6,4,5,3,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>8
[1,2,6,4,5,7,8,3]=>[[1,2,3,5,6,7],[4],[8]]=>10
[1,2,7,4,5,6,8,3]=>[[1,2,3,5,6,7],[4],[8]]=>10
[1,2,8,4,5,6,7,3]=>[[1,2,3,5,6,7],[4],[8]]=>10
[1,2,8,4,6,7,5,3]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[1,2,8,4,7,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>21
[1,2,7,5,4,6,3,8]=>[[1,2,3,6,8],[4],[5],[7]]=>13
[1,2,7,5,4,6,8,3]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[1,2,8,5,4,6,7,3]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[1,2,8,5,4,7,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[1,2,8,5,6,4,7,3]=>[[1,2,3,5,7],[4],[6],[8]]=>15
[1,2,8,5,6,7,4,3]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[1,2,8,6,5,4,7,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>19
[1,2,8,6,5,7,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>20
[1,2,8,7,5,6,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>20
[1,3,2,4,8,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>13
[1,3,2,7,5,6,8,4]=>[[1,2,4,6,7],[3,5],[8]]=>12
[1,3,2,8,5,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[1,3,2,8,6,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[1,3,2,8,6,7,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[1,3,4,2,8,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>14
[1,3,4,5,8,6,7,2]=>[[1,2,3,4,5,7],[6],[8]]=>12
[1,3,4,8,5,6,7,2]=>[[1,2,3,4,6,7],[5],[8]]=>11
[1,3,6,4,5,2,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>13
[1,3,6,4,5,7,2,8]=>[[1,2,3,5,6,8],[4],[7]]=>9
[1,3,6,4,5,7,8,2]=>[[1,2,3,5,6,7],[4],[8]]=>10
[1,3,6,4,5,8,7,2]=>[[1,2,3,5,6],[4,7],[8]]=>15
[1,3,7,4,5,6,2,8]=>[[1,2,3,5,6,8],[4],[7]]=>9
[1,3,7,4,5,6,8,2]=>[[1,2,3,5,6,7],[4],[8]]=>10
[1,3,8,4,5,6,7,2]=>[[1,2,3,5,6,7],[4],[8]]=>10
[1,3,8,4,6,5,7,2]=>[[1,2,3,5,7],[4],[6],[8]]=>15
[1,3,8,5,4,6,7,2]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[1,3,8,5,4,7,6,2]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[1,3,8,5,6,7,4,2]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[1,3,8,5,7,6,4,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>21
[1,3,8,6,5,7,4,2]=>[[1,2,3,6],[4],[5],[7],[8]]=>20
[1,3,8,7,5,6,4,2]=>[[1,2,3,6],[4],[5],[7],[8]]=>20
[1,4,3,5,8,6,7,2]=>[[1,2,4,5,7],[3,6],[8]]=>13
[1,4,3,8,5,6,7,2]=>[[1,2,4,6,7],[3,5],[8]]=>12
[1,4,3,8,5,7,6,2]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[1,4,3,8,6,5,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[1,4,3,8,6,7,5,2]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[1,5,3,4,2,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>6
[1,5,3,4,2,7,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>11
[1,5,3,4,2,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>15
[1,5,3,4,6,2,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>12
[1,5,3,4,6,7,2,8]=>[[1,2,4,5,6,8],[3],[7]]=>8
[1,5,3,4,6,7,8,2]=>[[1,2,4,5,6,7],[3],[8]]=>9
[1,5,3,4,8,6,7,2]=>[[1,2,4,5,7],[3,6],[8]]=>13
[1,6,3,4,5,2,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>7
[1,6,3,4,5,8,7,2]=>[[1,2,4,5,6],[3,7],[8]]=>14
[1,7,3,4,5,6,2,8]=>[[1,2,4,5,6,8],[3],[7]]=>8
[1,7,3,4,5,6,8,2]=>[[1,2,4,5,6,7],[3],[8]]=>9
[1,8,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3],[8]]=>9
[1,8,3,4,6,7,5,2]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[1,6,3,5,4,2,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>11
[1,6,3,5,4,8,7,2]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[1,7,3,5,4,6,2,8]=>[[1,2,4,6,8],[3],[5],[7]]=>12
[1,8,3,5,4,6,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[1,8,3,5,6,4,7,2]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[1,8,3,5,6,7,4,2]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[1,8,3,5,7,6,4,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[1,7,3,6,5,4,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[1,7,3,6,5,4,8,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>18
[1,8,3,6,5,4,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>18
[1,8,3,7,5,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>19
[1,8,3,7,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[1,6,4,3,5,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>10
[1,6,4,3,5,8,7,2]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[1,8,4,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[1,8,4,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[1,7,4,3,6,5,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[1,8,4,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[1,8,4,3,6,7,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[1,6,4,5,3,2,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>11
[1,6,4,5,3,2,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[1,6,4,5,3,8,7,2]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[1,7,4,5,3,6,8,2]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[1,8,4,5,3,6,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[1,7,4,5,6,3,8,2]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[1,8,4,5,6,3,7,2]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[1,8,4,5,6,7,3,2]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[1,7,4,6,5,3,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[1,8,4,6,5,3,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>18
[1,8,4,6,5,7,3,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>19
[1,8,4,7,6,5,3,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[1,7,5,4,3,6,2,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>15
[1,7,5,4,3,6,8,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>16
[1,8,5,4,3,6,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>16
[1,8,5,4,6,3,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>17
[1,8,5,4,6,7,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[1,8,5,4,7,6,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[1,7,6,4,5,3,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>16
[1,8,6,4,5,3,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>17
[1,8,6,4,5,7,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[1,8,7,4,5,6,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[1,8,7,4,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>23
[1,8,6,5,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>21
[1,8,6,5,4,7,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>22
[1,8,7,5,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>22
[1,8,7,5,6,4,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>23
[2,1,3,4,8,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>11
[2,1,3,5,8,6,7,4]=>[[1,3,4,5,7],[2,6],[8]]=>11
[2,1,3,8,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>10
[2,1,3,8,5,7,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[2,1,3,8,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[2,1,3,8,6,7,5,4]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[2,1,4,3,8,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>10
[2,1,4,5,8,6,7,3]=>[[1,3,4,5,7],[2,6],[8]]=>11
[2,1,4,8,5,6,7,3]=>[[1,3,4,6,7],[2,5],[8]]=>10
[2,1,4,8,5,7,6,3]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[2,1,4,8,6,5,7,3]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[2,1,4,8,6,7,5,3]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[2,1,5,4,8,6,7,3]=>[[1,3,5,7],[2,4,6],[8]]=>10
[2,1,6,4,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>9
[2,1,6,4,5,7,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>9
[2,1,6,4,5,8,7,3]=>[[1,3,5,6],[2,4,7],[8]]=>11
[2,1,8,4,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>9
[2,1,8,4,5,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[2,1,7,4,6,5,8,3]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[2,1,8,4,6,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[2,1,8,4,6,7,5,3]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[2,1,8,4,7,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[2,1,8,5,4,6,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[2,1,8,5,4,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[2,1,7,5,6,4,8,3]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[2,1,8,5,6,4,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[2,1,8,5,6,7,4,3]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[2,1,8,5,7,6,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[2,1,8,6,5,4,7,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[2,1,8,6,5,7,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[2,1,8,7,5,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[2,3,1,7,5,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[2,3,1,8,5,6,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>12
[2,3,1,8,6,7,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[2,3,4,1,8,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>14
[2,3,4,5,8,6,7,1]=>[[1,2,3,4,5,7],[6],[8]]=>12
[2,3,4,7,5,6,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>10
[2,3,4,7,5,6,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>11
[2,3,4,8,5,6,7,1]=>[[1,2,3,4,6,7],[5],[8]]=>11
[2,3,4,8,5,7,6,1]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[2,3,4,8,6,5,7,1]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[2,3,4,8,6,7,5,1]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[2,3,5,4,8,6,7,1]=>[[1,2,3,5,7],[4,6],[8]]=>14
[2,3,6,4,5,1,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>8
[2,3,6,4,5,1,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>13
[2,3,6,4,5,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>10
[2,3,6,4,5,8,7,1]=>[[1,2,3,5,6],[4,7],[8]]=>15
[2,3,7,4,5,6,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>10
[2,3,8,4,5,6,7,1]=>[[1,2,3,5,6,7],[4],[8]]=>10
[2,3,7,4,6,5,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>15
[2,3,8,4,6,7,5,1]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[2,3,7,5,4,6,1,8]=>[[1,2,3,6,8],[4],[5],[7]]=>13
[2,3,7,5,4,6,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[2,3,8,5,4,6,7,1]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[2,3,7,5,6,4,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>14
[2,3,7,5,6,4,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>15
[2,3,8,5,6,4,7,1]=>[[1,2,3,5,7],[4],[6],[8]]=>15
[2,3,8,5,6,7,4,1]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[2,3,8,5,7,6,4,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>21
[2,3,8,6,5,4,7,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>19
[2,4,3,5,8,6,7,1]=>[[1,2,4,5,7],[3,6],[8]]=>13
[2,4,3,7,5,6,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>12
[2,4,3,8,5,6,7,1]=>[[1,2,4,6,7],[3,5],[8]]=>12
[2,4,3,8,5,7,6,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[2,4,3,8,6,5,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[2,5,3,4,1,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>6
[2,5,3,4,1,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>15
[2,5,3,4,6,7,1,8]=>[[1,2,4,5,6,8],[3],[7]]=>8
[2,5,3,4,6,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>9
[2,5,3,4,6,8,7,1]=>[[1,2,4,5,6],[3,7],[8]]=>14
[2,5,3,4,7,6,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>13
[2,5,3,4,8,6,7,1]=>[[1,2,4,5,7],[3,6],[8]]=>13
[2,5,3,4,8,7,6,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[2,6,3,4,5,1,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>7
[2,6,3,4,5,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>9
[2,6,3,4,5,8,7,1]=>[[1,2,4,5,6],[3,7],[8]]=>14
[2,7,3,4,5,6,1,8]=>[[1,2,4,5,6,8],[3],[7]]=>8
[2,8,3,4,5,6,7,1]=>[[1,2,4,5,6,7],[3],[8]]=>9
[2,8,3,4,5,7,6,1]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[2,6,3,5,4,1,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[2,6,3,5,4,7,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[2,6,3,5,4,8,7,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[2,7,3,5,4,6,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[2,8,3,5,4,7,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[2,7,3,5,6,4,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[2,8,3,5,6,7,4,1]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[2,8,3,5,7,6,4,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[2,7,3,6,5,4,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[2,8,3,7,5,6,4,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>19
[2,8,3,7,6,5,4,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[2,5,4,3,8,6,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[2,6,4,3,5,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[2,6,4,3,5,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[2,6,4,3,5,8,7,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[2,7,4,3,5,6,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[2,8,4,3,5,6,7,1]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[2,8,4,3,5,7,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[2,7,4,3,6,5,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[2,8,4,3,6,5,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[2,8,4,3,6,7,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[2,8,4,3,7,6,5,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[2,6,4,5,3,1,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>11
[2,6,4,5,3,7,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[2,8,4,5,3,6,7,1]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[2,7,4,5,6,3,1,8]=>[[1,2,4,5,8],[3],[6],[7]]=>13
[2,7,4,5,6,3,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[2,8,4,5,6,3,7,1]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[2,8,4,5,6,7,3,1]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[2,7,4,6,5,3,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[2,7,4,6,5,3,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>18
[2,8,4,6,5,3,7,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>18
[2,8,4,7,6,5,3,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[2,7,5,4,3,6,8,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>16
[2,8,5,4,3,6,7,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>16
[2,8,5,4,3,7,6,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[2,7,5,4,6,3,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>17
[2,8,5,4,6,7,3,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[2,8,5,4,7,6,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[2,7,6,4,5,3,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>17
[2,8,7,4,5,6,3,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[2,8,7,4,6,5,3,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>23
[2,8,7,5,4,6,3,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>22
[2,8,7,5,6,4,3,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>23
[3,2,1,4,8,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>9
[3,2,1,5,8,6,7,4]=>[[1,4,5,7],[2,6],[3,8]]=>9
[3,2,1,7,5,6,8,4]=>[[1,4,6,7],[2,5],[3,8]]=>8
[3,2,1,8,5,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>8
[3,2,1,8,5,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[3,2,1,8,6,5,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[3,2,1,8,6,7,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[3,2,4,1,8,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>10
[3,2,4,5,8,6,7,1]=>[[1,3,4,5,7],[2,6],[8]]=>11
[3,2,4,7,5,6,8,1]=>[[1,3,4,6,7],[2,5],[8]]=>10
[3,2,4,8,5,6,7,1]=>[[1,3,4,6,7],[2,5],[8]]=>10
[3,2,4,8,6,7,5,1]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[3,2,5,4,8,6,7,1]=>[[1,3,5,7],[2,4,6],[8]]=>10
[3,2,6,4,5,1,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>9
[3,2,7,4,5,6,1,8]=>[[1,3,5,6,8],[2,4],[7]]=>8
[3,2,8,4,5,6,7,1]=>[[1,3,5,6,7],[2,4],[8]]=>9
[3,2,7,4,6,5,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[3,2,7,4,6,5,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[3,2,8,4,6,5,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[3,2,7,5,4,6,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[3,2,8,5,4,6,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[3,2,8,5,4,7,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[3,2,7,5,6,4,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[3,2,7,5,6,4,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[3,2,8,5,6,4,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[3,2,8,5,7,6,4,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[3,2,8,6,5,7,4,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[3,2,8,7,5,6,4,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[4,2,3,1,5,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>7
[4,2,3,1,5,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>8
[4,2,3,1,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>9
[4,2,3,1,6,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>8
[4,2,3,1,6,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>11
[4,2,3,1,7,6,8,5]=>[[1,3,5,7],[2,6],[4,8]]=>10
[4,2,3,1,8,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>10
[4,2,3,1,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[4,2,3,5,1,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>9
[4,2,3,5,1,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>9
[4,2,3,5,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>12
[4,2,3,5,6,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>10
[4,2,3,5,6,8,7,1]=>[[1,3,4,5,6],[2,7],[8]]=>12
[4,2,3,5,8,7,6,1]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[4,2,3,6,5,8,7,1]=>[[1,3,4,6],[2,5,7],[8]]=>13
[4,2,3,7,5,6,1,8]=>[[1,3,4,6,8],[2,5],[7]]=>9
[4,2,3,7,5,6,8,1]=>[[1,3,4,6,7],[2,5],[8]]=>10
[4,2,3,8,5,6,7,1]=>[[1,3,4,6,7],[2,5],[8]]=>10
[4,2,3,8,5,7,6,1]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[4,2,3,7,6,5,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[4,2,3,8,7,6,5,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[5,2,3,4,1,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>9
[5,2,3,4,1,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>9
[5,2,3,4,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>12
[5,2,3,4,6,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>10
[5,2,3,4,7,6,1,8]=>[[1,3,4,5,8],[2,6],[7]]=>10
[5,2,3,4,8,6,7,1]=>[[1,3,4,5,7],[2,6],[8]]=>11
[5,2,3,4,8,7,6,1]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[6,2,3,4,5,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>10
[6,2,3,4,5,8,7,1]=>[[1,3,4,5,6],[2,7],[8]]=>12
[8,2,3,4,5,7,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[7,2,3,4,6,5,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>12
[6,2,3,5,4,1,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[6,2,3,5,4,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[6,2,3,5,4,7,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[6,2,3,5,4,7,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[7,2,3,5,4,6,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[8,2,3,5,4,6,7,1]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[7,2,3,5,6,4,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>12
[8,2,3,5,6,7,4,1]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[8,2,3,5,7,6,4,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[7,2,3,6,5,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[8,2,3,6,5,4,7,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>17
[8,2,3,7,5,6,4,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[5,2,4,3,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[5,2,4,3,1,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[5,2,4,3,1,7,6,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[5,2,4,3,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[5,2,4,3,6,1,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>9
[5,2,4,3,6,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[5,2,4,3,6,7,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>10
[5,2,4,3,7,6,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[5,2,4,3,7,6,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[5,2,4,3,8,7,6,1]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[6,2,4,3,5,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[7,2,4,3,6,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[7,2,4,3,6,5,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[8,2,4,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[8,2,4,3,6,7,5,1]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[6,2,4,5,3,1,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[7,2,4,5,3,6,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[7,2,4,5,3,6,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[8,2,4,5,3,7,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[8,2,4,5,6,7,3,1]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[8,2,4,5,7,6,3,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[7,2,4,6,5,3,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[7,2,4,6,5,3,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>17
[8,2,4,7,5,6,3,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[8,2,4,7,6,5,3,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23
[6,2,5,4,3,1,7,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>13
[6,2,5,4,3,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[6,2,5,4,3,7,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>14
[6,2,5,4,3,7,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>15
[7,2,5,4,3,6,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>14
[8,2,5,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>15
[8,2,5,4,3,7,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[7,2,5,4,6,3,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[8,2,5,4,7,6,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[7,2,6,4,5,3,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>15
[7,2,6,4,5,3,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[8,2,6,4,5,3,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[8,2,6,4,5,7,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>17
[8,2,7,4,5,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>17
[8,2,7,4,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22
[7,2,6,5,4,3,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>20
[8,2,6,5,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>20
[8,2,6,5,4,7,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>21
[8,2,7,5,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>21
[8,2,7,5,6,4,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22
[8,2,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>26
[4,3,2,1,8,6,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[4,3,2,7,5,6,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[4,3,2,8,5,6,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[4,3,2,8,5,7,6,1]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[4,3,2,8,6,7,5,1]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[5,3,2,4,1,6,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[5,3,2,4,1,7,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[5,3,2,4,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[5,3,2,4,6,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[5,3,2,4,7,6,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[8,3,2,4,6,7,5,1]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[6,3,2,5,4,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[6,3,2,5,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[6,3,2,5,4,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[6,3,2,5,4,7,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[6,3,2,5,4,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[7,3,2,5,4,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[8,3,2,5,4,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[7,3,2,5,6,4,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[8,3,2,5,6,4,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[8,3,2,5,6,7,4,1]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[8,3,2,5,7,6,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[8,3,2,6,5,7,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[8,3,2,7,5,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[8,3,2,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>22
[5,3,4,2,1,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[5,3,4,2,1,7,8,6]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[5,3,4,2,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[5,3,4,2,6,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[5,3,4,2,7,6,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[5,3,4,2,7,6,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[5,3,4,2,8,6,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[6,3,4,2,5,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[7,3,4,2,6,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[7,3,4,2,6,5,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[8,3,4,2,6,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[6,3,4,5,2,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[6,3,4,5,2,8,7,1]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[8,3,4,5,2,7,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[8,3,4,5,7,6,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[7,3,4,6,5,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[8,3,4,7,6,5,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23
[6,3,5,4,2,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[6,3,5,4,2,7,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>14
[6,3,5,4,2,7,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>15
[6,3,5,4,2,8,7,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[7,3,5,4,2,6,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>14
[8,3,5,4,2,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>15
[8,3,5,4,2,7,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[7,3,5,4,6,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>15
[7,3,5,4,6,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[8,3,5,4,6,7,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>17
[8,3,5,4,7,6,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[7,3,6,4,5,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>15
[7,3,6,4,5,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[8,3,6,4,5,2,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[8,3,7,4,5,6,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>17
[8,3,7,4,6,5,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22
[7,3,6,5,4,2,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>19
[7,3,6,5,4,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>20
[8,3,6,5,4,2,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>20
[8,3,6,5,4,7,2,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>21
[8,3,7,5,4,6,2,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>21
[8,3,7,5,6,4,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22
[8,3,7,6,5,4,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>26
[5,4,3,2,8,6,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[6,4,3,2,5,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[6,4,3,2,5,8,7,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[7,4,3,2,6,5,8,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[8,4,3,2,6,7,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[8,4,3,2,7,6,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[6,4,3,5,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[8,4,3,5,2,7,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[8,4,3,5,7,6,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[7,4,3,6,5,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[7,4,3,6,5,2,8,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[8,4,3,7,5,6,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[8,4,3,7,6,5,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>22
[6,5,3,4,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[8,5,3,4,2,7,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[8,5,3,4,7,6,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[8,7,3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21
[7,6,3,5,4,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>18
[7,6,3,5,4,2,8,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>19
[8,6,3,5,4,7,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>20
[8,7,3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>20
[8,7,3,5,6,4,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21
[8,7,3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>25
[8,5,4,3,2,7,6,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>18
[8,5,4,3,7,6,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>20
[8,7,4,3,6,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>20
[8,7,4,6,5,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>25
[2,4,1,3,6,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>6
[2,1,4,6,3,5,8,7]=>[[1,3,4,7],[2,5,6,8]]=>6
[2,4,1,6,3,5,8,7]=>[[1,2,4,7],[3,5,6,8]]=>9
[2,4,6,1,3,5,8,7]=>[[1,2,3,7],[4,5,6,8]]=>10
[2,1,4,3,6,8,5,7]=>[[1,3,5,6],[2,4,7,8]]=>6
[2,4,1,3,6,8,5,7]=>[[1,2,5,6],[3,4,7,8]]=>8
[2,1,4,6,3,8,5,7]=>[[1,3,4,6],[2,5,7,8]]=>9
[2,4,1,6,3,8,5,7]=>[[1,2,4,6],[3,5,7,8]]=>13
[2,4,6,1,3,8,5,7]=>[[1,2,3,6],[4,5,7,8]]=>14
[2,1,4,6,8,3,5,7]=>[[1,3,4,5],[2,6,7,8]]=>10
[2,4,1,6,8,3,5,7]=>[[1,2,4,5],[3,6,7,8]]=>14
[2,4,6,1,8,3,5,7]=>[[1,2,3,5],[4,6,7,8]]=>15
[2,4,6,8,1,3,5,7]=>[[1,2,3,4],[5,6,7,8]]=>16
[2,4,1,3,6,5,7,8]=>[[1,2,5,7,8],[3,4,6]]=>5
[2,1,4,6,3,5,7,8]=>[[1,3,4,7,8],[2,5,6]]=>5
[2,4,1,6,3,5,7,8]=>[[1,2,4,7,8],[3,5,6]]=>8
[2,4,6,1,3,5,7,8]=>[[1,2,3,7,8],[4,5,6]]=>9
[2,1,4,6,3,7,5,8]=>[[1,3,4,6,8],[2,5,7]]=>6
[2,4,1,6,3,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>9
[2,4,6,1,3,7,5,8]=>[[1,2,3,6,8],[4,5,7]]=>10
[2,4,6,7,1,3,5,8]=>[[1,2,3,4,8],[5,6,7]]=>12
[2,4,1,3,6,7,8,5]=>[[1,2,5,6,7],[3,4,8]]=>7
[2,1,4,6,3,7,8,5]=>[[1,3,4,6,7],[2,5,8]]=>7
[2,4,1,6,3,7,8,5]=>[[1,2,4,6,7],[3,5,8]]=>10
[2,1,4,6,7,3,8,5]=>[[1,3,4,5,7],[2,6,8]]=>8
[2,4,1,6,7,3,8,5]=>[[1,2,4,5,7],[3,6,8]]=>11
[2,4,6,1,7,3,8,5]=>[[1,2,3,5,7],[4,6,8]]=>12
[2,4,6,7,1,3,8,5]=>[[1,2,3,4,7],[5,6,8]]=>13
[2,1,4,6,7,8,3,5]=>[[1,3,4,5,6],[2,7,8]]=>9
[2,4,1,6,7,8,3,5]=>[[1,2,4,5,6],[3,7,8]]=>12
[2,4,6,7,8,1,3,5]=>[[1,2,3,4,5],[6,7,8]]=>15
[2,1,4,3,7,5,8,6]=>[[1,3,5,7],[2,4,6,8]]=>4
[2,4,1,3,7,5,8,6]=>[[1,2,5,7],[3,4,6,8]]=>6
[2,1,4,7,3,5,8,6]=>[[1,3,4,7],[2,5,6,8]]=>6
[2,4,1,7,3,5,8,6]=>[[1,2,4,7],[3,5,6,8]]=>9
[2,4,7,1,3,5,8,6]=>[[1,2,3,7],[4,5,6,8]]=>10
[2,1,4,3,7,8,5,6]=>[[1,3,5,6],[2,4,7,8]]=>6
[2,4,1,3,7,8,5,6]=>[[1,2,5,6],[3,4,7,8]]=>8
[2,4,1,7,3,8,5,6]=>[[1,2,4,6],[3,5,7,8]]=>13
[2,1,4,7,8,3,5,6]=>[[1,3,4,5],[2,6,7,8]]=>10
[2,4,1,7,8,3,5,6]=>[[1,2,4,5],[3,6,7,8]]=>14
[2,4,7,1,8,3,5,6]=>[[1,2,3,5],[4,6,7,8]]=>15
[2,4,7,8,1,3,5,6]=>[[1,2,3,4],[5,6,7,8]]=>16
[2,4,1,5,3,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>9
[2,4,5,1,3,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>10
[2,4,5,1,7,3,6,8]=>[[1,2,3,5,8],[4,6,7]]=>11
[2,4,1,3,5,7,8,6]=>[[1,2,5,6,7],[3,4,8]]=>7
[2,4,1,5,3,7,8,6]=>[[1,2,4,6,7],[3,5,8]]=>10
[2,4,5,1,3,7,8,6]=>[[1,2,3,6,7],[4,5,8]]=>11
[2,1,4,5,7,3,8,6]=>[[1,3,4,5,7],[2,6,8]]=>8
[2,4,1,5,7,3,8,6]=>[[1,2,4,5,7],[3,6,8]]=>11
[2,4,5,1,7,3,8,6]=>[[1,2,3,5,7],[4,6,8]]=>12
[2,1,4,5,7,8,3,6]=>[[1,3,4,5,6],[2,7,8]]=>9
[2,4,5,1,7,8,3,6]=>[[1,2,3,5,6],[4,7,8]]=>13
[2,4,5,7,1,8,3,6]=>[[1,2,3,4,6],[5,7,8]]=>14
[2,4,5,7,8,1,3,6]=>[[1,2,3,4,5],[6,7,8]]=>15
[2,1,4,3,8,5,6,7]=>[[1,3,5,7,8],[2,4,6]]=>3
[2,4,1,3,8,5,6,7]=>[[1,2,5,7,8],[3,4,6]]=>5
[2,1,4,8,3,5,6,7]=>[[1,3,4,7,8],[2,5,6]]=>5
[2,4,1,8,3,5,6,7]=>[[1,2,4,7,8],[3,5,6]]=>8
[2,4,8,1,3,5,6,7]=>[[1,2,3,7,8],[4,5,6]]=>9
[2,1,4,3,5,8,6,7]=>[[1,3,5,6,8],[2,4,7]]=>4
[2,4,1,5,3,8,6,7]=>[[1,2,4,6,8],[3,5,7]]=>9
[2,1,4,5,8,3,6,7]=>[[1,3,4,5,8],[2,6,7]]=>7
[2,4,1,5,8,3,6,7]=>[[1,2,4,5,8],[3,6,7]]=>10
[2,4,5,1,8,3,6,7]=>[[1,2,3,5,8],[4,6,7]]=>11
[2,4,1,5,3,6,8,7]=>[[1,2,4,6,7],[3,5,8]]=>10
[2,4,1,5,6,3,8,7]=>[[1,2,4,5,7],[3,6,8]]=>11
[2,4,5,1,6,3,8,7]=>[[1,2,3,5,7],[4,6,8]]=>12
[2,4,5,6,1,3,8,7]=>[[1,2,3,4,7],[5,6,8]]=>13
[2,1,4,5,6,8,3,7]=>[[1,3,4,5,6],[2,7,8]]=>9
[2,4,1,5,6,8,3,7]=>[[1,2,4,5,6],[3,7,8]]=>12
[2,4,5,1,6,8,3,7]=>[[1,2,3,5,6],[4,7,8]]=>13
[2,4,5,6,1,8,3,7]=>[[1,2,3,4,6],[5,7,8]]=>14
[2,4,5,6,8,1,3,7]=>[[1,2,3,4,5],[6,7,8]]=>15
[2,4,1,3,5,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>4
[2,4,1,5,3,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>5
[2,4,5,1,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>6
[2,4,1,5,6,3,7,8]=>[[1,2,4,5,7,8],[3,6]]=>6
[2,4,5,1,6,3,7,8]=>[[1,2,3,5,7,8],[4,6]]=>7
[2,4,5,6,1,3,7,8]=>[[1,2,3,4,7,8],[5,6]]=>8
[2,4,1,5,6,7,3,8]=>[[1,2,4,5,6,8],[3,7]]=>7
[2,4,5,6,1,7,3,8]=>[[1,2,3,4,6,8],[5,7]]=>9
[2,4,5,6,7,1,3,8]=>[[1,2,3,4,5,8],[6,7]]=>10
[2,4,1,5,6,7,8,3]=>[[1,2,4,5,6,7],[3,8]]=>8
[2,4,5,1,6,7,8,3]=>[[1,2,3,5,6,7],[4,8]]=>9
[2,4,5,6,1,7,8,3]=>[[1,2,3,4,6,7],[5,8]]=>10
[2,4,5,6,7,1,8,3]=>[[1,2,3,4,5,7],[6,8]]=>11
[2,4,5,6,7,8,1,3]=>[[1,2,3,4,5,6],[7,8]]=>12
[2,1,5,3,6,4,8,7]=>[[1,3,5,7],[2,4,6,8]]=>4
[2,5,1,3,6,4,8,7]=>[[1,2,5,7],[3,4,6,8]]=>6
[2,1,5,6,3,4,8,7]=>[[1,3,4,7],[2,5,6,8]]=>6
[2,5,1,6,3,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>9
[2,5,6,1,3,4,8,7]=>[[1,2,3,7],[4,5,6,8]]=>10
[2,1,5,3,6,8,4,7]=>[[1,3,5,6],[2,4,7,8]]=>6
[2,5,1,3,6,8,4,7]=>[[1,2,5,6],[3,4,7,8]]=>8
[2,5,6,1,3,8,4,7]=>[[1,2,3,6],[4,5,7,8]]=>14
[2,1,5,6,8,3,4,7]=>[[1,3,4,5],[2,6,7,8]]=>10
[2,5,1,6,8,3,4,7]=>[[1,2,4,5],[3,6,7,8]]=>14
[2,5,6,8,1,3,4,7]=>[[1,2,3,4],[5,6,7,8]]=>16
[2,5,1,3,6,4,7,8]=>[[1,2,5,7,8],[3,4,6]]=>5
[2,1,5,6,3,4,7,8]=>[[1,3,4,7,8],[2,5,6]]=>5
[2,5,1,6,3,4,7,8]=>[[1,2,4,7,8],[3,5,6]]=>8
[2,1,5,3,6,7,4,8]=>[[1,3,5,6,8],[2,4,7]]=>4
[2,1,5,6,3,7,4,8]=>[[1,3,4,6,8],[2,5,7]]=>6
[2,5,1,6,3,7,4,8]=>[[1,2,4,6,8],[3,5,7]]=>9
[2,5,6,1,3,7,4,8]=>[[1,2,3,6,8],[4,5,7]]=>10
[2,1,5,6,7,3,4,8]=>[[1,3,4,5,8],[2,6,7]]=>7
[2,5,1,6,7,3,4,8]=>[[1,2,4,5,8],[3,6,7]]=>10
[2,5,6,1,7,3,4,8]=>[[1,2,3,5,8],[4,6,7]]=>11
[2,1,5,3,6,7,8,4]=>[[1,3,5,6,7],[2,4,8]]=>5
[2,5,1,3,6,7,8,4]=>[[1,2,5,6,7],[3,4,8]]=>7
[2,1,5,6,3,7,8,4]=>[[1,3,4,6,7],[2,5,8]]=>7
[2,5,1,6,3,7,8,4]=>[[1,2,4,6,7],[3,5,8]]=>10
[2,5,6,1,3,7,8,4]=>[[1,2,3,6,7],[4,5,8]]=>11
[2,1,5,6,7,3,8,4]=>[[1,3,4,5,7],[2,6,8]]=>8
[2,5,1,6,7,3,8,4]=>[[1,2,4,5,7],[3,6,8]]=>11
[2,5,6,7,1,3,8,4]=>[[1,2,3,4,7],[5,6,8]]=>13
[2,1,5,6,7,8,3,4]=>[[1,3,4,5,6],[2,7,8]]=>9
[2,5,1,6,7,8,3,4]=>[[1,2,4,5,6],[3,7,8]]=>12
[2,5,6,1,7,8,3,4]=>[[1,2,3,5,6],[4,7,8]]=>13
[2,5,6,7,1,8,3,4]=>[[1,2,3,4,6],[5,7,8]]=>14
[2,5,6,7,8,1,3,4]=>[[1,2,3,4,5],[6,7,8]]=>15
[2,1,5,3,7,4,8,6]=>[[1,3,5,7],[2,4,6,8]]=>4
[2,5,1,3,7,4,8,6]=>[[1,2,5,7],[3,4,6,8]]=>6
[2,1,5,7,3,4,8,6]=>[[1,3,4,7],[2,5,6,8]]=>6
[2,5,1,7,3,4,8,6]=>[[1,2,4,7],[3,5,6,8]]=>9
[2,5,7,1,3,4,8,6]=>[[1,2,3,7],[4,5,6,8]]=>10
[2,1,5,3,7,8,4,6]=>[[1,3,5,6],[2,4,7,8]]=>6
[2,5,1,3,7,8,4,6]=>[[1,2,5,6],[3,4,7,8]]=>8
[2,1,5,7,3,8,4,6]=>[[1,3,4,6],[2,5,7,8]]=>9
[2,1,5,7,8,3,4,6]=>[[1,3,4,5],[2,6,7,8]]=>10
[2,5,1,7,8,3,4,6]=>[[1,2,4,5],[3,6,7,8]]=>14
[2,5,7,1,8,3,4,6]=>[[1,2,3,5],[4,6,7,8]]=>15
[2,5,7,8,1,3,4,6]=>[[1,2,3,4],[5,6,7,8]]=>16
[2,5,1,3,7,4,6,8]=>[[1,2,5,7,8],[3,4,6]]=>5
[2,1,5,7,3,4,6,8]=>[[1,3,4,7,8],[2,5,6]]=>5
[2,3,5,1,4,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>10
[2,3,5,7,1,4,6,8]=>[[1,2,3,4,8],[5,6,7]]=>12
[2,3,5,1,7,4,8,6]=>[[1,2,3,5,7],[4,6,8]]=>12
[2,3,5,7,1,4,8,6]=>[[1,2,3,4,7],[5,6,8]]=>13
[2,3,1,5,7,8,4,6]=>[[1,2,4,5,6],[3,7,8]]=>12
[2,3,5,7,1,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>14
[2,3,5,7,8,1,4,6]=>[[1,2,3,4,5],[6,7,8]]=>15
[2,1,5,3,8,4,6,7]=>[[1,3,5,7,8],[2,4,6]]=>3
[2,5,1,3,8,4,6,7]=>[[1,2,5,7,8],[3,4,6]]=>5
[2,1,5,8,3,4,6,7]=>[[1,3,4,7,8],[2,5,6]]=>5
[2,5,1,8,3,4,6,7]=>[[1,2,4,7,8],[3,5,6]]=>8
[2,5,8,1,3,4,6,7]=>[[1,2,3,7,8],[4,5,6]]=>9
[2,3,5,1,4,8,6,7]=>[[1,2,3,6,8],[4,5,7]]=>10
[2,1,3,5,8,4,6,7]=>[[1,3,4,5,8],[2,6,7]]=>7
[2,3,5,1,8,4,6,7]=>[[1,2,3,5,8],[4,6,7]]=>11
[2,3,5,8,1,4,6,7]=>[[1,2,3,4,8],[5,6,7]]=>12
[2,1,5,3,4,6,8,7]=>[[1,3,5,6,7],[2,4,8]]=>5
[2,3,5,1,6,4,8,7]=>[[1,2,3,5,7],[4,6,8]]=>12
[2,3,5,6,1,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>13
[2,1,3,5,6,8,4,7]=>[[1,3,4,5,6],[2,7,8]]=>9
[2,3,1,5,6,8,4,7]=>[[1,2,4,5,6],[3,7,8]]=>12
[2,3,5,1,6,8,4,7]=>[[1,2,3,5,6],[4,7,8]]=>13
[2,3,5,6,1,8,4,7]=>[[1,2,3,4,6],[5,7,8]]=>14
[2,3,5,6,8,1,4,7]=>[[1,2,3,4,5],[6,7,8]]=>15
[2,1,5,3,4,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>2
[2,5,1,3,4,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>4
[2,3,5,1,4,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>6
[2,3,5,1,6,4,7,8]=>[[1,2,3,5,7,8],[4,6]]=>7
[2,3,5,6,1,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>8
[2,3,5,6,7,1,4,8]=>[[1,2,3,4,5,8],[6,7]]=>10
[2,3,5,1,6,7,8,4]=>[[1,2,3,5,6,7],[4,8]]=>9
[2,3,5,6,1,7,8,4]=>[[1,2,3,4,6,7],[5,8]]=>10
[2,3,5,6,7,1,8,4]=>[[1,2,3,4,5,7],[6,8]]=>11
[2,3,5,6,7,8,1,4]=>[[1,2,3,4,5,6],[7,8]]=>12
[2,1,6,3,7,4,8,5]=>[[1,3,5,7],[2,4,6,8]]=>4
[2,6,1,3,7,4,8,5]=>[[1,2,5,7],[3,4,6,8]]=>6
[2,1,6,7,3,4,8,5]=>[[1,3,4,7],[2,5,6,8]]=>6
[2,6,1,7,3,4,8,5]=>[[1,2,4,7],[3,5,6,8]]=>9
[2,6,7,1,3,4,8,5]=>[[1,2,3,7],[4,5,6,8]]=>10
[2,1,6,3,7,8,4,5]=>[[1,3,5,6],[2,4,7,8]]=>6
[2,6,1,3,7,8,4,5]=>[[1,2,5,6],[3,4,7,8]]=>8
[2,6,1,7,3,8,4,5]=>[[1,2,4,6],[3,5,7,8]]=>13
[2,6,7,1,3,8,4,5]=>[[1,2,3,6],[4,5,7,8]]=>14
[2,1,6,7,8,3,4,5]=>[[1,3,4,5],[2,6,7,8]]=>10
[2,6,1,7,8,3,4,5]=>[[1,2,4,5],[3,6,7,8]]=>14
[2,6,7,1,8,3,4,5]=>[[1,2,3,5],[4,6,7,8]]=>15
[2,6,7,8,1,3,4,5]=>[[1,2,3,4],[5,6,7,8]]=>16
[2,1,6,3,7,4,5,8]=>[[1,3,5,7,8],[2,4,6]]=>3
[2,6,1,7,3,4,5,8]=>[[1,2,4,7,8],[3,5,6]]=>8
[2,6,7,1,3,4,5,8]=>[[1,2,3,7,8],[4,5,6]]=>9
[2,6,1,3,4,7,5,8]=>[[1,2,5,6,8],[3,4,7]]=>6
[2,3,1,6,4,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>9
[2,3,6,1,4,7,5,8]=>[[1,2,3,6,8],[4,5,7]]=>10
[2,1,6,3,4,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>5
[2,6,1,3,4,7,8,5]=>[[1,2,5,6,7],[3,4,8]]=>7
[2,3,6,1,4,7,8,5]=>[[1,2,3,6,7],[4,5,8]]=>11
[2,1,3,6,7,4,8,5]=>[[1,3,4,5,7],[2,6,8]]=>8
[2,1,3,6,7,8,4,5]=>[[1,3,4,5,6],[2,7,8]]=>9
[2,3,1,6,7,8,4,5]=>[[1,2,4,5,6],[3,7,8]]=>12
[2,3,6,1,7,8,4,5]=>[[1,2,3,5,6],[4,7,8]]=>13
[2,3,6,7,1,8,4,5]=>[[1,2,3,4,6],[5,7,8]]=>14
[2,3,6,7,8,1,4,5]=>[[1,2,3,4,5],[6,7,8]]=>15
[2,1,6,3,8,4,5,7]=>[[1,3,5,7,8],[2,4,6]]=>3
[2,6,1,3,8,4,5,7]=>[[1,2,5,7,8],[3,4,6]]=>5
[2,1,6,8,3,4,5,7]=>[[1,3,4,7,8],[2,5,6]]=>5
[2,6,1,8,3,4,5,7]=>[[1,2,4,7,8],[3,5,6]]=>8
[2,6,8,1,3,4,5,7]=>[[1,2,3,7,8],[4,5,6]]=>9
[2,1,6,3,4,8,5,7]=>[[1,3,5,6,8],[2,4,7]]=>4
[2,6,1,3,4,8,5,7]=>[[1,2,5,6,8],[3,4,7]]=>6
[2,3,1,6,4,8,5,7]=>[[1,2,4,6,8],[3,5,7]]=>9
[2,3,6,1,4,8,5,7]=>[[1,2,3,6,8],[4,5,7]]=>10
[2,3,1,6,8,4,5,7]=>[[1,2,4,5,8],[3,6,7]]=>10
[2,3,6,1,8,4,5,7]=>[[1,2,3,5,8],[4,6,7]]=>11
[2,1,6,3,4,5,8,7]=>[[1,3,5,6,7],[2,4,8]]=>5
[2,6,1,3,4,5,8,7]=>[[1,2,5,6,7],[3,4,8]]=>7
[2,1,3,6,4,5,8,7]=>[[1,3,4,6,7],[2,5,8]]=>7
[2,3,6,1,4,5,8,7]=>[[1,2,3,6,7],[4,5,8]]=>11
[2,3,4,1,6,8,5,7]=>[[1,2,3,5,6],[4,7,8]]=>13
[2,3,4,6,1,8,5,7]=>[[1,2,3,4,6],[5,7,8]]=>14
[2,3,4,6,8,1,5,7]=>[[1,2,3,4,5],[6,7,8]]=>15
[2,6,1,3,4,5,7,8]=>[[1,2,5,6,7,8],[3,4]]=>4
[2,1,3,6,4,5,7,8]=>[[1,3,4,6,7,8],[2,5]]=>3
[2,3,1,6,4,5,7,8]=>[[1,2,4,6,7,8],[3,5]]=>5
[2,3,6,1,4,5,7,8]=>[[1,2,3,6,7,8],[4,5]]=>6
[2,3,4,6,1,5,7,8]=>[[1,2,3,4,7,8],[5,6]]=>8
[2,3,4,6,1,7,5,8]=>[[1,2,3,4,6,8],[5,7]]=>9
[2,3,4,6,7,1,5,8]=>[[1,2,3,4,5,8],[6,7]]=>10
[2,3,4,6,1,7,8,5]=>[[1,2,3,4,6,7],[5,8]]=>10
[2,3,4,6,7,8,1,5]=>[[1,2,3,4,5,6],[7,8]]=>12
[2,1,7,3,8,4,5,6]=>[[1,3,5,7,8],[2,4,6]]=>3
[2,7,1,3,8,4,5,6]=>[[1,2,5,7,8],[3,4,6]]=>5
[2,1,7,8,3,4,5,6]=>[[1,3,4,7,8],[2,5,6]]=>5
[2,7,1,8,3,4,5,6]=>[[1,2,4,7,8],[3,5,6]]=>8
[2,7,8,1,3,4,5,6]=>[[1,2,3,7,8],[4,5,6]]=>9
[2,1,7,3,4,8,5,6]=>[[1,3,5,6,8],[2,4,7]]=>4
[2,1,3,7,4,8,5,6]=>[[1,3,4,6,8],[2,5,7]]=>6
[2,3,1,7,4,8,5,6]=>[[1,2,4,6,8],[3,5,7]]=>9
[2,3,7,1,4,8,5,6]=>[[1,2,3,6,8],[4,5,7]]=>10
[2,1,3,7,8,4,5,6]=>[[1,3,4,5,8],[2,6,7]]=>7
[2,3,1,7,8,4,5,6]=>[[1,2,4,5,8],[3,6,7]]=>10
[2,3,7,8,1,4,5,6]=>[[1,2,3,4,8],[5,6,7]]=>12
[2,1,7,3,4,5,8,6]=>[[1,3,5,6,7],[2,4,8]]=>5
[2,7,1,3,4,5,8,6]=>[[1,2,5,6,7],[3,4,8]]=>7
[2,3,1,7,4,5,8,6]=>[[1,2,4,6,7],[3,5,8]]=>10
[2,3,7,1,4,5,8,6]=>[[1,2,3,6,7],[4,5,8]]=>11
[2,1,3,4,7,5,8,6]=>[[1,3,4,5,7],[2,6,8]]=>8
[2,3,4,1,7,5,8,6]=>[[1,2,3,5,7],[4,6,8]]=>12
[2,3,4,7,1,5,8,6]=>[[1,2,3,4,7],[5,6,8]]=>13
[2,1,3,4,7,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>9
[2,3,1,4,7,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>12
[2,3,4,1,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>13
[2,3,4,7,1,8,5,6]=>[[1,2,3,4,6],[5,7,8]]=>14
[2,3,4,7,8,1,5,6]=>[[1,2,3,4,5],[6,7,8]]=>15
[2,1,7,3,4,5,6,8]=>[[1,3,5,6,7,8],[2,4]]=>2
[2,7,1,3,4,5,6,8]=>[[1,2,5,6,7,8],[3,4]]=>4
[2,3,7,1,4,5,6,8]=>[[1,2,3,6,7,8],[4,5]]=>6
[2,1,3,4,7,5,6,8]=>[[1,3,4,5,7,8],[2,6]]=>4
[2,3,1,4,7,5,6,8]=>[[1,2,4,5,7,8],[3,6]]=>6
[2,3,4,1,7,5,6,8]=>[[1,2,3,5,7,8],[4,6]]=>7
[2,3,4,7,1,5,6,8]=>[[1,2,3,4,7,8],[5,6]]=>8
[2,3,4,5,7,1,6,8]=>[[1,2,3,4,5,8],[6,7]]=>10
[2,3,4,5,7,1,8,6]=>[[1,2,3,4,5,7],[6,8]]=>11
[2,3,4,5,7,8,1,6]=>[[1,2,3,4,5,6],[7,8]]=>12
[2,1,8,3,4,5,6,7]=>[[1,3,5,6,7,8],[2,4]]=>2
[2,8,1,3,4,5,6,7]=>[[1,2,5,6,7,8],[3,4]]=>4
[2,1,3,8,4,5,6,7]=>[[1,3,4,6,7,8],[2,5]]=>3
[2,3,1,8,4,5,6,7]=>[[1,2,4,6,7,8],[3,5]]=>5
[2,3,8,1,4,5,6,7]=>[[1,2,3,6,7,8],[4,5]]=>6
[2,1,3,4,8,5,6,7]=>[[1,3,4,5,7,8],[2,6]]=>4
[2,3,1,4,8,5,6,7]=>[[1,2,4,5,7,8],[3,6]]=>6
[2,3,4,1,8,5,6,7]=>[[1,2,3,5,7,8],[4,6]]=>7
[2,3,4,8,1,5,6,7]=>[[1,2,3,4,7,8],[5,6]]=>8
[2,1,3,4,5,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>5
[2,3,1,4,5,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>7
[2,3,4,1,5,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>8
[2,3,4,5,1,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>9
[2,3,4,5,8,1,6,7]=>[[1,2,3,4,5,8],[6,7]]=>10
[2,3,4,5,6,8,1,7]=>[[1,2,3,4,5,6],[7,8]]=>12
[3,1,4,2,6,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>4
[3,4,1,2,6,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>6
[3,1,4,6,2,5,8,7]=>[[1,3,4,7],[2,5,6,8]]=>6
[3,4,1,6,2,5,8,7]=>[[1,2,4,7],[3,5,6,8]]=>9
[3,4,6,1,2,5,8,7]=>[[1,2,3,7],[4,5,6,8]]=>10
[3,1,4,2,6,8,5,7]=>[[1,3,5,6],[2,4,7,8]]=>6
[3,4,1,2,6,8,5,7]=>[[1,2,5,6],[3,4,7,8]]=>8
[3,1,4,6,2,8,5,7]=>[[1,3,4,6],[2,5,7,8]]=>9
[3,4,1,6,2,8,5,7]=>[[1,2,4,6],[3,5,7,8]]=>13
[3,1,4,6,8,2,5,7]=>[[1,3,4,5],[2,6,7,8]]=>10
[3,4,1,6,8,2,5,7]=>[[1,2,4,5],[3,6,7,8]]=>14
[3,4,6,8,1,2,5,7]=>[[1,2,3,4],[5,6,7,8]]=>16
[3,1,4,2,6,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>3
[3,4,1,2,6,5,7,8]=>[[1,2,5,7,8],[3,4,6]]=>5
[3,1,4,2,6,7,5,8]=>[[1,3,5,6,8],[2,4,7]]=>4
[3,4,1,2,6,7,5,8]=>[[1,2,5,6,8],[3,4,7]]=>6
[3,4,1,6,2,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>9
[3,4,6,1,2,7,5,8]=>[[1,2,3,6,8],[4,5,7]]=>10
[3,4,1,6,7,2,5,8]=>[[1,2,4,5,8],[3,6,7]]=>10
[3,4,6,7,1,2,5,8]=>[[1,2,3,4,8],[5,6,7]]=>12
[3,1,4,2,6,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>5
[3,4,1,2,6,7,8,5]=>[[1,2,5,6,7],[3,4,8]]=>7
[3,1,4,6,2,7,8,5]=>[[1,3,4,6,7],[2,5,8]]=>7
[3,4,1,6,2,7,8,5]=>[[1,2,4,6,7],[3,5,8]]=>10
[3,4,6,1,2,7,8,5]=>[[1,2,3,6,7],[4,5,8]]=>11
[3,1,4,6,7,2,8,5]=>[[1,3,4,5,7],[2,6,8]]=>8
[3,4,1,6,7,2,8,5]=>[[1,2,4,5,7],[3,6,8]]=>11
[3,4,6,1,7,2,8,5]=>[[1,2,3,5,7],[4,6,8]]=>12
[3,4,6,7,1,2,8,5]=>[[1,2,3,4,7],[5,6,8]]=>13
[3,1,4,6,7,8,2,5]=>[[1,3,4,5,6],[2,7,8]]=>9
[3,4,1,6,7,8,2,5]=>[[1,2,4,5,6],[3,7,8]]=>12
[3,4,6,1,7,8,2,5]=>[[1,2,3,5,6],[4,7,8]]=>13
[3,4,6,7,1,8,2,5]=>[[1,2,3,4,6],[5,7,8]]=>14
[3,4,6,7,8,1,2,5]=>[[1,2,3,4,5],[6,7,8]]=>15
[3,1,4,2,7,5,8,6]=>[[1,3,5,7],[2,4,6,8]]=>4
[3,4,1,2,7,5,8,6]=>[[1,2,5,7],[3,4,6,8]]=>6
[3,1,4,7,2,5,8,6]=>[[1,3,4,7],[2,5,6,8]]=>6
[3,4,7,1,2,5,8,6]=>[[1,2,3,7],[4,5,6,8]]=>10
[3,1,4,2,7,8,5,6]=>[[1,3,5,6],[2,4,7,8]]=>6
[3,4,1,2,7,8,5,6]=>[[1,2,5,6],[3,4,7,8]]=>8
[3,4,7,1,8,2,5,6]=>[[1,2,3,5],[4,6,7,8]]=>15
[3,4,7,8,1,2,5,6]=>[[1,2,3,4],[5,6,7,8]]=>16
[3,1,4,2,7,5,6,8]=>[[1,3,5,7,8],[2,4,6]]=>3
[3,4,1,2,7,5,6,8]=>[[1,2,5,7,8],[3,4,6]]=>5
[3,4,1,2,5,7,6,8]=>[[1,2,5,6,8],[3,4,7]]=>6
[3,1,4,5,2,7,6,8]=>[[1,3,4,6,8],[2,5,7]]=>6
[3,4,1,5,2,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>9
[3,4,1,5,7,2,6,8]=>[[1,2,4,5,8],[3,6,7]]=>10
[3,4,5,7,1,2,6,8]=>[[1,2,3,4,8],[5,6,7]]=>12
[3,1,4,2,5,7,8,6]=>[[1,3,5,6,7],[2,4,8]]=>5
[3,4,1,2,5,7,8,6]=>[[1,2,5,6,7],[3,4,8]]=>7
[3,1,4,5,2,7,8,6]=>[[1,3,4,6,7],[2,5,8]]=>7
[3,4,5,1,2,7,8,6]=>[[1,2,3,6,7],[4,5,8]]=>11
[3,1,4,5,7,2,8,6]=>[[1,3,4,5,7],[2,6,8]]=>8
[3,4,1,5,7,2,8,6]=>[[1,2,4,5,7],[3,6,8]]=>11
[3,4,5,7,1,2,8,6]=>[[1,2,3,4,7],[5,6,8]]=>13
[3,1,4,5,7,8,2,6]=>[[1,3,4,5,6],[2,7,8]]=>9
[3,4,1,5,7,8,2,6]=>[[1,2,4,5,6],[3,7,8]]=>12
[3,4,5,1,7,8,2,6]=>[[1,2,3,5,6],[4,7,8]]=>13
[3,4,5,7,1,8,2,6]=>[[1,2,3,4,6],[5,7,8]]=>14
[3,4,5,7,8,1,2,6]=>[[1,2,3,4,5],[6,7,8]]=>15
[3,1,4,2,8,5,6,7]=>[[1,3,5,7,8],[2,4,6]]=>3
[3,4,1,2,8,5,6,7]=>[[1,2,5,7,8],[3,4,6]]=>5
[3,1,4,8,2,5,6,7]=>[[1,3,4,7,8],[2,5,6]]=>5
[3,4,1,8,2,5,6,7]=>[[1,2,4,7,8],[3,5,6]]=>8
[3,4,8,1,2,5,6,7]=>[[1,2,3,7,8],[4,5,6]]=>9
[3,1,4,2,5,8,6,7]=>[[1,3,5,6,8],[2,4,7]]=>4
[3,4,1,2,5,8,6,7]=>[[1,2,5,6,8],[3,4,7]]=>6
[3,4,1,5,2,8,6,7]=>[[1,2,4,6,8],[3,5,7]]=>9
[3,4,5,1,2,8,6,7]=>[[1,2,3,6,8],[4,5,7]]=>10
[3,1,4,5,8,2,6,7]=>[[1,3,4,5,8],[2,6,7]]=>7
[3,4,1,5,8,2,6,7]=>[[1,2,4,5,8],[3,6,7]]=>10
[3,4,5,8,1,2,6,7]=>[[1,2,3,4,8],[5,6,7]]=>12
[3,4,1,2,5,6,8,7]=>[[1,2,5,6,7],[3,4,8]]=>7
[3,4,5,1,2,6,8,7]=>[[1,2,3,6,7],[4,5,8]]=>11
[3,1,4,5,6,2,8,7]=>[[1,3,4,5,7],[2,6,8]]=>8
[3,4,1,5,6,2,8,7]=>[[1,2,4,5,7],[3,6,8]]=>11
[3,4,5,1,6,2,8,7]=>[[1,2,3,5,7],[4,6,8]]=>12
[3,4,5,6,1,2,8,7]=>[[1,2,3,4,7],[5,6,8]]=>13
[3,1,4,5,6,8,2,7]=>[[1,3,4,5,6],[2,7,8]]=>9
[3,4,1,5,6,8,2,7]=>[[1,2,4,5,6],[3,7,8]]=>12
[3,4,5,6,1,8,2,7]=>[[1,2,3,4,6],[5,7,8]]=>14
[3,4,5,6,8,1,2,7]=>[[1,2,3,4,5],[6,7,8]]=>15
[3,1,4,2,5,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>2
[3,1,4,5,2,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>3
[3,4,1,5,2,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>5
[3,4,1,5,6,2,7,8]=>[[1,2,4,5,7,8],[3,6]]=>6
[3,4,5,1,6,2,7,8]=>[[1,2,3,5,7,8],[4,6]]=>7
[3,1,4,5,6,7,2,8]=>[[1,3,4,5,6,8],[2,7]]=>5
[3,4,1,5,6,7,2,8]=>[[1,2,4,5,6,8],[3,7]]=>7
[3,4,5,1,6,7,2,8]=>[[1,2,3,5,6,8],[4,7]]=>8
[3,4,5,6,1,7,2,8]=>[[1,2,3,4,6,8],[5,7]]=>9
[3,1,4,5,6,7,8,2]=>[[1,3,4,5,6,7],[2,8]]=>6
[3,4,1,5,6,7,8,2]=>[[1,2,4,5,6,7],[3,8]]=>8
[3,4,5,1,6,7,8,2]=>[[1,2,3,5,6,7],[4,8]]=>9
[3,4,5,6,1,7,8,2]=>[[1,2,3,4,6,7],[5,8]]=>10
[3,4,5,6,7,1,8,2]=>[[1,2,3,4,5,7],[6,8]]=>11
[3,1,5,2,6,4,8,7]=>[[1,3,5,7],[2,4,6,8]]=>4
[3,5,1,2,6,4,8,7]=>[[1,2,5,7],[3,4,6,8]]=>6
[3,1,5,6,2,4,8,7]=>[[1,3,4,7],[2,5,6,8]]=>6
[3,5,1,6,2,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>9
[3,5,6,1,2,4,8,7]=>[[1,2,3,7],[4,5,6,8]]=>10
[3,1,5,2,6,8,4,7]=>[[1,3,5,6],[2,4,7,8]]=>6
[3,5,1,2,6,8,4,7]=>[[1,2,5,6],[3,4,7,8]]=>8
[3,1,5,6,2,8,4,7]=>[[1,3,4,6],[2,5,7,8]]=>9
[3,5,6,1,2,8,4,7]=>[[1,2,3,6],[4,5,7,8]]=>14
[3,1,5,6,8,2,4,7]=>[[1,3,4,5],[2,6,7,8]]=>10
[3,5,1,6,8,2,4,7]=>[[1,2,4,5],[3,6,7,8]]=>14
[3,5,6,1,8,2,4,7]=>[[1,2,3,5],[4,6,7,8]]=>15
[3,5,6,8,1,2,4,7]=>[[1,2,3,4],[5,6,7,8]]=>16
[3,1,5,6,2,4,7,8]=>[[1,3,4,7,8],[2,5,6]]=>5
[3,5,1,6,2,4,7,8]=>[[1,2,4,7,8],[3,5,6]]=>8
[3,5,6,1,2,4,7,8]=>[[1,2,3,7,8],[4,5,6]]=>9
[3,5,1,2,6,7,4,8]=>[[1,2,5,6,8],[3,4,7]]=>6
[3,5,1,6,2,7,4,8]=>[[1,2,4,6,8],[3,5,7]]=>9
[3,5,6,1,2,7,4,8]=>[[1,2,3,6,8],[4,5,7]]=>10
[3,5,1,6,7,2,4,8]=>[[1,2,4,5,8],[3,6,7]]=>10
[3,5,6,1,7,2,4,8]=>[[1,2,3,5,8],[4,6,7]]=>11
[3,5,6,7,1,2,4,8]=>[[1,2,3,4,8],[5,6,7]]=>12
[3,1,5,2,6,7,8,4]=>[[1,3,5,6,7],[2,4,8]]=>5
[3,5,1,2,6,7,8,4]=>[[1,2,5,6,7],[3,4,8]]=>7
[3,1,5,6,2,7,8,4]=>[[1,3,4,6,7],[2,5,8]]=>7
[3,5,1,6,2,7,8,4]=>[[1,2,4,6,7],[3,5,8]]=>10
[3,5,6,1,2,7,8,4]=>[[1,2,3,6,7],[4,5,8]]=>11
[3,1,5,6,7,2,8,4]=>[[1,3,4,5,7],[2,6,8]]=>8
[3,5,1,6,7,2,8,4]=>[[1,2,4,5,7],[3,6,8]]=>11
[3,5,6,1,7,2,8,4]=>[[1,2,3,5,7],[4,6,8]]=>12
[3,5,6,7,1,2,8,4]=>[[1,2,3,4,7],[5,6,8]]=>13
[3,1,5,6,7,8,2,4]=>[[1,3,4,5,6],[2,7,8]]=>9
[3,5,1,6,7,8,2,4]=>[[1,2,4,5,6],[3,7,8]]=>12
[3,5,6,1,7,8,2,4]=>[[1,2,3,5,6],[4,7,8]]=>13
[3,5,6,7,1,8,2,4]=>[[1,2,3,4,6],[5,7,8]]=>14
[3,5,6,7,8,1,2,4]=>[[1,2,3,4,5],[6,7,8]]=>15
[3,1,5,2,7,4,8,6]=>[[1,3,5,7],[2,4,6,8]]=>4
[3,5,1,2,7,4,8,6]=>[[1,2,5,7],[3,4,6,8]]=>6
[3,1,5,7,2,4,8,6]=>[[1,3,4,7],[2,5,6,8]]=>6
[3,5,1,7,2,4,8,6]=>[[1,2,4,7],[3,5,6,8]]=>9
[3,5,7,1,2,4,8,6]=>[[1,2,3,7],[4,5,6,8]]=>10
[3,1,5,2,7,8,4,6]=>[[1,3,5,6],[2,4,7,8]]=>6
[3,5,1,2,7,8,4,6]=>[[1,2,5,6],[3,4,7,8]]=>8
[3,1,5,7,2,8,4,6]=>[[1,3,4,6],[2,5,7,8]]=>9
[3,5,1,7,2,8,4,6]=>[[1,2,4,6],[3,5,7,8]]=>13
[3,1,5,7,8,2,4,6]=>[[1,3,4,5],[2,6,7,8]]=>10
[3,5,1,7,8,2,4,6]=>[[1,2,4,5],[3,6,7,8]]=>14
[3,5,7,8,1,2,4,6]=>[[1,2,3,4],[5,6,7,8]]=>16
[3,1,5,2,7,4,6,8]=>[[1,3,5,7,8],[2,4,6]]=>3
[3,5,1,2,7,4,6,8]=>[[1,2,5,7,8],[3,4,6]]=>5
[3,1,5,7,2,4,6,8]=>[[1,3,4,7,8],[2,5,6]]=>5
[3,5,1,7,2,4,6,8]=>[[1,2,4,7,8],[3,5,6]]=>8
[3,5,7,1,2,4,6,8]=>[[1,2,3,7,8],[4,5,6]]=>9
[3,1,5,2,4,7,6,8]=>[[1,3,5,6,8],[2,4,7]]=>4
[3,5,1,2,4,7,6,8]=>[[1,2,5,6,8],[3,4,7]]=>6
[3,1,2,5,4,7,6,8]=>[[1,3,4,6,8],[2,5,7]]=>6
[1,3,5,2,4,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>10
[3,1,2,5,7,4,6,8]=>[[1,3,4,5,8],[2,6,7]]=>7
[1,3,2,5,7,4,6,8]=>[[1,2,4,5,8],[3,6,7]]=>10
[1,3,5,2,7,4,6,8]=>[[1,2,3,5,8],[4,6,7]]=>11
[1,3,5,7,2,4,6,8]=>[[1,2,3,4,8],[5,6,7]]=>12
[3,5,1,2,4,7,8,6]=>[[1,2,5,6,7],[3,4,8]]=>7
[3,1,2,5,7,4,8,6]=>[[1,3,4,5,7],[2,6,8]]=>8
[1,3,5,2,7,4,8,6]=>[[1,2,3,5,7],[4,6,8]]=>12
[1,3,5,7,2,4,8,6]=>[[1,2,3,4,7],[5,6,8]]=>13
[1,3,2,5,7,8,4,6]=>[[1,2,4,5,6],[3,7,8]]=>12
[1,3,5,2,7,8,4,6]=>[[1,2,3,5,6],[4,7,8]]=>13
[1,3,5,7,2,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>14
[1,3,5,7,8,2,4,6]=>[[1,2,3,4,5],[6,7,8]]=>15
[3,1,5,2,8,4,6,7]=>[[1,3,5,7,8],[2,4,6]]=>3
[3,5,1,2,8,4,6,7]=>[[1,2,5,7,8],[3,4,6]]=>5
[3,1,5,8,2,4,6,7]=>[[1,3,4,7,8],[2,5,6]]=>5
[3,5,1,8,2,4,6,7]=>[[1,2,4,7,8],[3,5,6]]=>8
[3,1,5,2,4,8,6,7]=>[[1,3,5,6,8],[2,4,7]]=>4
[3,5,1,2,4,8,6,7]=>[[1,2,5,6,8],[3,4,7]]=>6
[1,3,2,5,4,8,6,7]=>[[1,2,4,6,8],[3,5,7]]=>9
[1,3,5,2,4,8,6,7]=>[[1,2,3,6,8],[4,5,7]]=>10
[3,1,2,5,8,4,6,7]=>[[1,3,4,5,8],[2,6,7]]=>7
[1,3,2,5,8,4,6,7]=>[[1,2,4,5,8],[3,6,7]]=>10
[1,3,5,2,8,4,6,7]=>[[1,2,3,5,8],[4,6,7]]=>11
[1,3,5,8,2,4,6,7]=>[[1,2,3,4,8],[5,6,7]]=>12
[3,5,1,2,4,6,8,7]=>[[1,2,5,6,7],[3,4,8]]=>7
[3,1,2,5,4,6,8,7]=>[[1,3,4,6,7],[2,5,8]]=>7
[1,3,5,2,4,6,8,7]=>[[1,2,3,6,7],[4,5,8]]=>11
[1,3,5,6,2,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>13
[3,1,2,5,6,8,4,7]=>[[1,3,4,5,6],[2,7,8]]=>9
[1,3,5,2,6,8,4,7]=>[[1,2,3,5,6],[4,7,8]]=>13
[1,3,5,6,2,8,4,7]=>[[1,2,3,4,6],[5,7,8]]=>14
[1,3,5,6,8,2,4,7]=>[[1,2,3,4,5],[6,7,8]]=>15
[3,5,1,2,4,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>4
[1,3,5,2,4,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>6
[1,3,5,6,2,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>8
[3,1,2,5,6,7,4,8]=>[[1,3,4,5,6,8],[2,7]]=>5
[1,3,5,2,6,7,4,8]=>[[1,2,3,5,6,8],[4,7]]=>8
[1,3,5,6,2,7,4,8]=>[[1,2,3,4,6,8],[5,7]]=>9
[1,3,5,6,7,2,4,8]=>[[1,2,3,4,5,8],[6,7]]=>10
[3,1,2,5,6,7,8,4]=>[[1,3,4,5,6,7],[2,8]]=>6
[1,3,5,6,2,7,8,4]=>[[1,2,3,4,6,7],[5,8]]=>10
[1,3,5,6,7,2,8,4]=>[[1,2,3,4,5,7],[6,8]]=>11
[1,3,5,6,7,8,2,4]=>[[1,2,3,4,5,6],[7,8]]=>12
[3,1,6,2,7,4,8,5]=>[[1,3,5,7],[2,4,6,8]]=>4
[3,6,1,2,7,4,8,5]=>[[1,2,5,7],[3,4,6,8]]=>6
[3,6,1,7,2,4,8,5]=>[[1,2,4,7],[3,5,6,8]]=>9
[3,6,7,1,2,4,8,5]=>[[1,2,3,7],[4,5,6,8]]=>10
[3,6,1,2,7,8,4,5]=>[[1,2,5,6],[3,4,7,8]]=>8
[3,1,6,7,2,8,4,5]=>[[1,3,4,6],[2,5,7,8]]=>9
[3,6,1,7,2,8,4,5]=>[[1,2,4,6],[3,5,7,8]]=>13
[3,6,7,1,2,8,4,5]=>[[1,2,3,6],[4,5,7,8]]=>14
[3,6,1,7,8,2,4,5]=>[[1,2,4,5],[3,6,7,8]]=>14
[3,6,7,8,1,2,4,5]=>[[1,2,3,4],[5,6,7,8]]=>16
[3,1,6,2,7,4,5,8]=>[[1,3,5,7,8],[2,4,6]]=>3
[3,1,6,7,2,4,5,8]=>[[1,3,4,7,8],[2,5,6]]=>5
[3,6,7,1,2,4,5,8]=>[[1,2,3,7,8],[4,5,6]]=>9
[3,1,6,2,4,7,5,8]=>[[1,3,5,6,8],[2,4,7]]=>4
[3,6,1,2,4,7,5,8]=>[[1,2,5,6,8],[3,4,7]]=>6
[3,1,2,6,4,7,5,8]=>[[1,3,4,6,8],[2,5,7]]=>6
[1,3,2,6,4,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>9
[1,3,6,2,4,7,5,8]=>[[1,2,3,6,8],[4,5,7]]=>10
[1,3,2,6,7,4,5,8]=>[[1,2,4,5,8],[3,6,7]]=>10
[1,3,6,2,7,4,5,8]=>[[1,2,3,5,8],[4,6,7]]=>11
[3,1,6,2,4,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>5
[3,6,1,2,4,7,8,5]=>[[1,2,5,6,7],[3,4,8]]=>7
[3,1,2,6,4,7,8,5]=>[[1,3,4,6,7],[2,5,8]]=>7
[1,3,6,2,4,7,8,5]=>[[1,2,3,6,7],[4,5,8]]=>11
[3,1,2,6,7,4,8,5]=>[[1,3,4,5,7],[2,6,8]]=>8
[1,3,2,6,7,4,8,5]=>[[1,2,4,5,7],[3,6,8]]=>11
[1,3,6,2,7,4,8,5]=>[[1,2,3,5,7],[4,6,8]]=>12
[3,1,2,6,7,8,4,5]=>[[1,3,4,5,6],[2,7,8]]=>9
[1,3,2,6,7,8,4,5]=>[[1,2,4,5,6],[3,7,8]]=>12
[1,3,6,2,7,8,4,5]=>[[1,2,3,5,6],[4,7,8]]=>13
[1,3,6,7,8,2,4,5]=>[[1,2,3,4,5],[6,7,8]]=>15
[3,1,6,2,8,4,5,7]=>[[1,3,5,7,8],[2,4,6]]=>3
[3,6,1,2,8,4,5,7]=>[[1,2,5,7,8],[3,4,6]]=>5
[3,1,6,8,2,4,5,7]=>[[1,3,4,7,8],[2,5,6]]=>5
[3,6,1,8,2,4,5,7]=>[[1,2,4,7,8],[3,5,6]]=>8
[3,6,8,1,2,4,5,7]=>[[1,2,3,7,8],[4,5,6]]=>9
[3,1,6,2,4,8,5,7]=>[[1,3,5,6,8],[2,4,7]]=>4
[3,6,1,2,4,8,5,7]=>[[1,2,5,6,8],[3,4,7]]=>6
[1,3,2,6,4,8,5,7]=>[[1,2,4,6,8],[3,5,7]]=>9
[1,3,6,2,4,8,5,7]=>[[1,2,3,6,8],[4,5,7]]=>10
[3,1,2,6,8,4,5,7]=>[[1,3,4,5,8],[2,6,7]]=>7
[1,3,2,6,8,4,5,7]=>[[1,2,4,5,8],[3,6,7]]=>10
[3,1,6,2,4,5,8,7]=>[[1,3,5,6,7],[2,4,8]]=>5
[3,6,1,2,4,5,8,7]=>[[1,2,5,6,7],[3,4,8]]=>7
[3,1,2,6,4,5,8,7]=>[[1,3,4,6,7],[2,5,8]]=>7
[1,3,6,2,4,5,8,7]=>[[1,2,3,6,7],[4,5,8]]=>11
[3,1,2,4,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>8
[1,3,4,6,2,5,8,7]=>[[1,2,3,4,7],[5,6,8]]=>13
[3,1,2,4,6,8,5,7]=>[[1,3,4,5,6],[2,7,8]]=>9
[1,3,2,4,6,8,5,7]=>[[1,2,4,5,6],[3,7,8]]=>12
[1,3,4,6,8,2,5,7]=>[[1,2,3,4,5],[6,7,8]]=>15
[3,1,6,2,4,5,7,8]=>[[1,3,5,6,7,8],[2,4]]=>2
[3,6,1,2,4,5,7,8]=>[[1,2,5,6,7,8],[3,4]]=>4
[1,3,2,6,4,5,7,8]=>[[1,2,4,6,7,8],[3,5]]=>5
[1,3,6,2,4,5,7,8]=>[[1,2,3,6,7,8],[4,5]]=>6
[1,3,4,6,2,5,7,8]=>[[1,2,3,4,7,8],[5,6]]=>8
[3,1,2,4,6,7,5,8]=>[[1,3,4,5,6,8],[2,7]]=>5
[1,3,4,6,2,7,5,8]=>[[1,2,3,4,6,8],[5,7]]=>9
[1,3,4,6,7,2,5,8]=>[[1,2,3,4,5,8],[6,7]]=>10
[3,1,2,4,6,7,8,5]=>[[1,3,4,5,6,7],[2,8]]=>6
[1,3,4,6,7,2,8,5]=>[[1,2,3,4,5,7],[6,8]]=>11
[3,1,7,2,8,4,5,6]=>[[1,3,5,7,8],[2,4,6]]=>3
[3,7,1,2,8,4,5,6]=>[[1,2,5,7,8],[3,4,6]]=>5
[3,1,7,8,2,4,5,6]=>[[1,3,4,7,8],[2,5,6]]=>5
[3,7,1,8,2,4,5,6]=>[[1,2,4,7,8],[3,5,6]]=>8
[3,7,8,1,2,4,5,6]=>[[1,2,3,7,8],[4,5,6]]=>9
[3,7,1,2,4,8,5,6]=>[[1,2,5,6,8],[3,4,7]]=>6
[3,1,2,7,4,8,5,6]=>[[1,3,4,6,8],[2,5,7]]=>6
[1,3,2,7,4,8,5,6]=>[[1,2,4,6,8],[3,5,7]]=>9
[1,3,7,2,4,8,5,6]=>[[1,2,3,6,8],[4,5,7]]=>10
[3,1,2,7,8,4,5,6]=>[[1,3,4,5,8],[2,6,7]]=>7
[1,3,7,2,8,4,5,6]=>[[1,2,3,5,8],[4,6,7]]=>11
[1,3,7,8,2,4,5,6]=>[[1,2,3,4,8],[5,6,7]]=>12
[3,1,7,2,4,5,8,6]=>[[1,3,5,6,7],[2,4,8]]=>5
[3,7,1,2,4,5,8,6]=>[[1,2,5,6,7],[3,4,8]]=>7
[1,3,7,2,4,5,8,6]=>[[1,2,3,6,7],[4,5,8]]=>11
[3,1,2,4,7,5,8,6]=>[[1,3,4,5,7],[2,6,8]]=>8
[1,3,2,4,7,5,8,6]=>[[1,2,4,5,7],[3,6,8]]=>11
[1,3,4,2,7,5,8,6]=>[[1,2,3,5,7],[4,6,8]]=>12
[3,1,2,4,7,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>9
[1,3,2,4,7,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>12
[1,3,4,2,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>13
[1,3,4,7,8,2,5,6]=>[[1,2,3,4,5],[6,7,8]]=>15
[3,1,7,2,4,5,6,8]=>[[1,3,5,6,7,8],[2,4]]=>2
[3,7,1,2,4,5,6,8]=>[[1,2,5,6,7,8],[3,4]]=>4
[3,1,2,7,4,5,6,8]=>[[1,3,4,6,7,8],[2,5]]=>3
[1,3,2,7,4,5,6,8]=>[[1,2,4,6,7,8],[3,5]]=>5
[1,3,7,2,4,5,6,8]=>[[1,2,3,6,7,8],[4,5]]=>6
[3,1,2,4,7,5,6,8]=>[[1,3,4,5,7,8],[2,6]]=>4
[1,3,4,7,2,5,6,8]=>[[1,2,3,4,7,8],[5,6]]=>8
[3,1,2,4,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>5
[1,3,4,5,7,2,6,8]=>[[1,2,3,4,5,8],[6,7]]=>10
[3,1,2,4,5,7,8,6]=>[[1,3,4,5,6,7],[2,8]]=>6
[1,3,4,5,7,8,2,6]=>[[1,2,3,4,5,6],[7,8]]=>12
[3,1,8,2,4,5,6,7]=>[[1,3,5,6,7,8],[2,4]]=>2
[3,8,1,2,4,5,6,7]=>[[1,2,5,6,7,8],[3,4]]=>4
[3,1,2,8,4,5,6,7]=>[[1,3,4,6,7,8],[2,5]]=>3
[1,3,2,8,4,5,6,7]=>[[1,2,4,6,7,8],[3,5]]=>5
[1,3,8,2,4,5,6,7]=>[[1,2,3,6,7,8],[4,5]]=>6
[3,1,2,4,8,5,6,7]=>[[1,3,4,5,7,8],[2,6]]=>4
[1,3,2,4,8,5,6,7]=>[[1,2,4,5,7,8],[3,6]]=>6
[1,3,4,2,8,5,6,7]=>[[1,2,3,5,7,8],[4,6]]=>7
[1,3,4,8,2,5,6,7]=>[[1,2,3,4,7,8],[5,6]]=>8
[3,1,2,4,5,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>5
[1,3,2,4,5,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>7
[1,3,4,2,5,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>8
[1,3,4,5,2,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>9
[1,3,4,5,8,2,6,7]=>[[1,2,3,4,5,8],[6,7]]=>10
[3,1,2,4,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>6
[1,3,4,5,6,8,2,7]=>[[1,2,3,4,5,6],[7,8]]=>12
[4,1,5,2,6,3,8,7]=>[[1,3,5,7],[2,4,6,8]]=>4
[4,5,1,2,6,3,8,7]=>[[1,2,5,7],[3,4,6,8]]=>6
[4,1,5,6,2,3,8,7]=>[[1,3,4,7],[2,5,6,8]]=>6
[4,5,1,6,2,3,8,7]=>[[1,2,4,7],[3,5,6,8]]=>9
[4,5,6,1,2,3,8,7]=>[[1,2,3,7],[4,5,6,8]]=>10
[4,1,5,2,6,8,3,7]=>[[1,3,5,6],[2,4,7,8]]=>6
[4,5,1,2,6,8,3,7]=>[[1,2,5,6],[3,4,7,8]]=>8
[4,1,5,6,2,8,3,7]=>[[1,3,4,6],[2,5,7,8]]=>9
[4,5,1,6,2,8,3,7]=>[[1,2,4,6],[3,5,7,8]]=>13
[4,5,6,1,2,8,3,7]=>[[1,2,3,6],[4,5,7,8]]=>14
[4,1,5,6,8,2,3,7]=>[[1,3,4,5],[2,6,7,8]]=>10
[4,5,1,6,8,2,3,7]=>[[1,2,4,5],[3,6,7,8]]=>14
[4,5,6,1,8,2,3,7]=>[[1,2,3,5],[4,6,7,8]]=>15
[4,5,6,8,1,2,3,7]=>[[1,2,3,4],[5,6,7,8]]=>16
[4,1,5,2,6,3,7,8]=>[[1,3,5,7,8],[2,4,6]]=>3
[4,1,5,6,2,3,7,8]=>[[1,3,4,7,8],[2,5,6]]=>5
[4,5,1,6,2,3,7,8]=>[[1,2,4,7,8],[3,5,6]]=>8
[4,5,1,2,6,7,3,8]=>[[1,2,5,6,8],[3,4,7]]=>6
[4,5,1,6,2,7,3,8]=>[[1,2,4,6,8],[3,5,7]]=>9
[4,5,6,1,2,7,3,8]=>[[1,2,3,6,8],[4,5,7]]=>10
[4,1,5,6,7,2,3,8]=>[[1,3,4,5,8],[2,6,7]]=>7
[4,5,1,6,7,2,3,8]=>[[1,2,4,5,8],[3,6,7]]=>10
[4,5,6,1,7,2,3,8]=>[[1,2,3,5,8],[4,6,7]]=>11
[4,1,5,2,6,7,8,3]=>[[1,3,5,6,7],[2,4,8]]=>5
[4,5,1,2,6,7,8,3]=>[[1,2,5,6,7],[3,4,8]]=>7
[4,5,1,6,2,7,8,3]=>[[1,2,4,6,7],[3,5,8]]=>10
[4,5,6,1,2,7,8,3]=>[[1,2,3,6,7],[4,5,8]]=>11
[4,1,5,6,7,2,8,3]=>[[1,3,4,5,7],[2,6,8]]=>8
[4,5,1,6,7,2,8,3]=>[[1,2,4,5,7],[3,6,8]]=>11
[4,5,6,1,7,2,8,3]=>[[1,2,3,5,7],[4,6,8]]=>12
[4,5,6,7,1,2,8,3]=>[[1,2,3,4,7],[5,6,8]]=>13
[4,1,5,6,7,8,2,3]=>[[1,3,4,5,6],[2,7,8]]=>9
[4,5,1,6,7,8,2,3]=>[[1,2,4,5,6],[3,7,8]]=>12
[4,5,6,1,7,8,2,3]=>[[1,2,3,5,6],[4,7,8]]=>13
[4,5,6,7,1,8,2,3]=>[[1,2,3,4,6],[5,7,8]]=>14
[4,1,5,2,7,3,8,6]=>[[1,3,5,7],[2,4,6,8]]=>4
[4,5,1,7,2,3,8,6]=>[[1,2,4,7],[3,5,6,8]]=>9
[4,1,5,2,7,8,3,6]=>[[1,3,5,6],[2,4,7,8]]=>6
[4,5,1,2,7,8,3,6]=>[[1,2,5,6],[3,4,7,8]]=>8
[4,1,5,7,2,8,3,6]=>[[1,3,4,6],[2,5,7,8]]=>9
[4,5,1,7,2,8,3,6]=>[[1,2,4,6],[3,5,7,8]]=>13
[4,5,7,1,2,8,3,6]=>[[1,2,3,6],[4,5,7,8]]=>14
[4,5,1,7,8,2,3,6]=>[[1,2,4,5],[3,6,7,8]]=>14
[4,5,7,8,1,2,3,6]=>[[1,2,3,4],[5,6,7,8]]=>16
[4,1,5,2,7,3,6,8]=>[[1,3,5,7,8],[2,4,6]]=>3
[4,5,1,2,7,3,6,8]=>[[1,2,5,7,8],[3,4,6]]=>5
[4,1,5,2,3,7,6,8]=>[[1,3,5,6,8],[2,4,7]]=>4
[4,5,1,2,3,7,6,8]=>[[1,2,5,6,8],[3,4,7]]=>6
[4,1,2,5,3,7,6,8]=>[[1,3,4,6,8],[2,5,7]]=>6
[1,4,2,5,3,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>9
[1,4,5,2,3,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>10
[4,1,2,5,7,3,6,8]=>[[1,3,4,5,8],[2,6,7]]=>7
[1,4,2,5,7,3,6,8]=>[[1,2,4,5,8],[3,6,7]]=>10
[1,4,5,2,7,3,6,8]=>[[1,2,3,5,8],[4,6,7]]=>11
[1,4,5,7,2,3,6,8]=>[[1,2,3,4,8],[5,6,7]]=>12
[4,1,5,2,3,7,8,6]=>[[1,3,5,6,7],[2,4,8]]=>5
[4,1,2,5,3,7,8,6]=>[[1,3,4,6,7],[2,5,8]]=>7
[1,4,5,2,3,7,8,6]=>[[1,2,3,6,7],[4,5,8]]=>11
[4,1,2,5,7,3,8,6]=>[[1,3,4,5,7],[2,6,8]]=>8
[1,4,2,5,7,3,8,6]=>[[1,2,4,5,7],[3,6,8]]=>11
[1,4,5,2,7,3,8,6]=>[[1,2,3,5,7],[4,6,8]]=>12
[1,4,5,7,2,3,8,6]=>[[1,2,3,4,7],[5,6,8]]=>13
[4,1,2,5,7,8,3,6]=>[[1,3,4,5,6],[2,7,8]]=>9
[1,4,2,5,7,8,3,6]=>[[1,2,4,5,6],[3,7,8]]=>12
[1,4,5,2,7,8,3,6]=>[[1,2,3,5,6],[4,7,8]]=>13
[1,4,5,7,8,2,3,6]=>[[1,2,3,4,5],[6,7,8]]=>15
[4,1,5,2,8,3,6,7]=>[[1,3,5,7,8],[2,4,6]]=>3
[4,5,1,2,8,3,6,7]=>[[1,2,5,7,8],[3,4,6]]=>5
[4,5,1,8,2,3,6,7]=>[[1,2,4,7,8],[3,5,6]]=>8
[4,5,8,1,2,3,6,7]=>[[1,2,3,7,8],[4,5,6]]=>9
[4,1,5,2,3,8,6,7]=>[[1,3,5,6,8],[2,4,7]]=>4
[4,5,1,2,3,8,6,7]=>[[1,2,5,6,8],[3,4,7]]=>6
[4,1,2,5,3,8,6,7]=>[[1,3,4,6,8],[2,5,7]]=>6
[1,4,2,5,3,8,6,7]=>[[1,2,4,6,8],[3,5,7]]=>9
[1,4,5,2,3,8,6,7]=>[[1,2,3,6,8],[4,5,7]]=>10
[4,1,2,5,8,3,6,7]=>[[1,3,4,5,8],[2,6,7]]=>7
[1,4,2,5,8,3,6,7]=>[[1,2,4,5,8],[3,6,7]]=>10
[1,4,5,2,8,3,6,7]=>[[1,2,3,5,8],[4,6,7]]=>11
[1,4,2,5,3,6,8,7]=>[[1,2,4,6,7],[3,5,8]]=>10
[4,1,2,5,6,3,8,7]=>[[1,3,4,5,7],[2,6,8]]=>8
[1,4,5,2,6,3,8,7]=>[[1,2,3,5,7],[4,6,8]]=>12
[4,1,2,5,6,8,3,7]=>[[1,3,4,5,6],[2,7,8]]=>9
[1,4,2,5,6,8,3,7]=>[[1,2,4,5,6],[3,7,8]]=>12
[1,4,5,2,6,8,3,7]=>[[1,2,3,5,6],[4,7,8]]=>13
[1,4,5,6,8,2,3,7]=>[[1,2,3,4,5],[6,7,8]]=>15
[4,1,5,2,3,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>2
[4,1,2,5,3,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>3
[1,4,2,5,3,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>5
[1,4,5,2,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>6
[4,1,2,5,6,3,7,8]=>[[1,3,4,5,7,8],[2,6]]=>4
[1,4,5,2,6,3,7,8]=>[[1,2,3,5,7,8],[4,6]]=>7
[1,4,5,6,2,3,7,8]=>[[1,2,3,4,7,8],[5,6]]=>8
[4,1,2,5,6,7,3,8]=>[[1,3,4,5,6,8],[2,7]]=>5
[1,4,2,5,6,7,3,8]=>[[1,2,4,5,6,8],[3,7]]=>7
[1,4,5,2,6,7,3,8]=>[[1,2,3,5,6,8],[4,7]]=>8
[1,4,5,6,2,7,3,8]=>[[1,2,3,4,6,8],[5,7]]=>9
[1,4,5,6,7,2,3,8]=>[[1,2,3,4,5,8],[6,7]]=>10
[4,1,2,5,6,7,8,3]=>[[1,3,4,5,6,7],[2,8]]=>6
[1,4,2,5,6,7,8,3]=>[[1,2,4,5,6,7],[3,8]]=>8
[1,4,5,2,6,7,8,3]=>[[1,2,3,5,6,7],[4,8]]=>9
[1,4,5,6,2,7,8,3]=>[[1,2,3,4,6,7],[5,8]]=>10
[1,4,5,6,7,2,8,3]=>[[1,2,3,4,5,7],[6,8]]=>11
[1,4,5,6,7,8,2,3]=>[[1,2,3,4,5,6],[7,8]]=>12
[4,1,6,2,7,3,8,5]=>[[1,3,5,7],[2,4,6,8]]=>4
[4,1,6,7,2,3,8,5]=>[[1,3,4,7],[2,5,6,8]]=>6
[4,6,7,1,2,3,8,5]=>[[1,2,3,7],[4,5,6,8]]=>10
[4,6,1,2,7,8,3,5]=>[[1,2,5,6],[3,4,7,8]]=>8
[4,6,1,7,2,8,3,5]=>[[1,2,4,6],[3,5,7,8]]=>13
[4,6,7,1,2,8,3,5]=>[[1,2,3,6],[4,5,7,8]]=>14
[4,1,6,7,8,2,3,5]=>[[1,3,4,5],[2,6,7,8]]=>10
[4,6,1,7,8,2,3,5]=>[[1,2,4,5],[3,6,7,8]]=>14
[4,6,7,1,8,2,3,5]=>[[1,2,3,5],[4,6,7,8]]=>15
[4,6,7,8,1,2,3,5]=>[[1,2,3,4],[5,6,7,8]]=>16
[4,1,6,2,7,3,5,8]=>[[1,3,5,7,8],[2,4,6]]=>3
[4,6,1,2,7,3,5,8]=>[[1,2,5,7,8],[3,4,6]]=>5
[4,1,6,7,2,3,5,8]=>[[1,3,4,7,8],[2,5,6]]=>5
[4,6,1,7,2,3,5,8]=>[[1,2,4,7,8],[3,5,6]]=>8
[4,6,7,1,2,3,5,8]=>[[1,2,3,7,8],[4,5,6]]=>9
[4,1,6,2,3,7,5,8]=>[[1,3,5,6,8],[2,4,7]]=>4
[4,6,1,2,3,7,5,8]=>[[1,2,5,6,8],[3,4,7]]=>6
[4,1,2,6,3,7,5,8]=>[[1,3,4,6,8],[2,5,7]]=>6
[1,4,2,6,3,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>9
[4,1,2,6,7,3,5,8]=>[[1,3,4,5,8],[2,6,7]]=>7
[1,4,2,6,7,3,5,8]=>[[1,2,4,5,8],[3,6,7]]=>10
[1,4,6,2,7,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>11
[1,4,6,7,2,3,5,8]=>[[1,2,3,4,8],[5,6,7]]=>12
[4,1,6,2,3,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>5
[4,1,2,6,3,7,8,5]=>[[1,3,4,6,7],[2,5,8]]=>7
[1,4,6,2,3,7,8,5]=>[[1,2,3,6,7],[4,5,8]]=>11
[4,1,2,6,7,3,8,5]=>[[1,3,4,5,7],[2,6,8]]=>8
[1,4,6,2,7,3,8,5]=>[[1,2,3,5,7],[4,6,8]]=>12
[1,4,2,6,7,8,3,5]=>[[1,2,4,5,6],[3,7,8]]=>12
[1,4,6,2,7,8,3,5]=>[[1,2,3,5,6],[4,7,8]]=>13
[1,4,6,7,2,8,3,5]=>[[1,2,3,4,6],[5,7,8]]=>14
[1,4,6,7,8,2,3,5]=>[[1,2,3,4,5],[6,7,8]]=>15
[4,1,6,2,8,3,5,7]=>[[1,3,5,7,8],[2,4,6]]=>3
[4,6,1,2,8,3,5,7]=>[[1,2,5,7,8],[3,4,6]]=>5
[4,1,6,8,2,3,5,7]=>[[1,3,4,7,8],[2,5,6]]=>5
[4,6,1,8,2,3,5,7]=>[[1,2,4,7,8],[3,5,6]]=>8
[4,6,8,1,2,3,5,7]=>[[1,2,3,7,8],[4,5,6]]=>9
[4,1,6,2,3,8,5,7]=>[[1,3,5,6,8],[2,4,7]]=>4
[4,6,1,2,3,8,5,7]=>[[1,2,5,6,8],[3,4,7]]=>6
[4,1,2,6,3,8,5,7]=>[[1,3,4,6,8],[2,5,7]]=>6
[1,4,2,6,3,8,5,7]=>[[1,2,4,6,8],[3,5,7]]=>9
[1,4,6,2,3,8,5,7]=>[[1,2,3,6,8],[4,5,7]]=>10
[1,4,2,6,8,3,5,7]=>[[1,2,4,5,8],[3,6,7]]=>10
[1,4,6,2,8,3,5,7]=>[[1,2,3,5,8],[4,6,7]]=>11
[1,4,6,8,2,3,5,7]=>[[1,2,3,4,8],[5,6,7]]=>12
[4,1,6,2,3,5,8,7]=>[[1,3,5,6,7],[2,4,8]]=>5
[4,6,1,2,3,5,8,7]=>[[1,2,5,6,7],[3,4,8]]=>7
[4,1,2,6,3,5,8,7]=>[[1,3,4,6,7],[2,5,8]]=>7
[1,4,2,6,3,5,8,7]=>[[1,2,4,6,7],[3,5,8]]=>10
[1,4,6,2,3,5,8,7]=>[[1,2,3,6,7],[4,5,8]]=>11
[4,1,2,3,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>8
[1,4,2,3,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>11
[1,2,4,6,3,5,8,7]=>[[1,2,3,4,7],[5,6,8]]=>13
[4,1,2,3,6,8,5,7]=>[[1,3,4,5,6],[2,7,8]]=>9
[1,2,4,3,6,8,5,7]=>[[1,2,3,5,6],[4,7,8]]=>13
[1,2,4,6,8,3,5,7]=>[[1,2,3,4,5],[6,7,8]]=>15
[4,1,6,2,3,5,7,8]=>[[1,3,5,6,7,8],[2,4]]=>2
[4,6,1,2,3,5,7,8]=>[[1,2,5,6,7,8],[3,4]]=>4
[1,4,2,6,3,5,7,8]=>[[1,2,4,6,7,8],[3,5]]=>5
[1,4,6,2,3,5,7,8]=>[[1,2,3,6,7,8],[4,5]]=>6
[4,1,2,3,6,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>4
[1,4,2,3,6,5,7,8]=>[[1,2,4,5,7,8],[3,6]]=>6
[1,2,4,6,3,5,7,8]=>[[1,2,3,4,7,8],[5,6]]=>8
[4,1,2,3,6,7,5,8]=>[[1,3,4,5,6,8],[2,7]]=>5
[1,4,2,3,6,7,5,8]=>[[1,2,4,5,6,8],[3,7]]=>7
[4,1,2,3,6,7,8,5]=>[[1,3,4,5,6,7],[2,8]]=>6
[1,4,2,3,6,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>8
[1,2,4,6,7,8,3,5]=>[[1,2,3,4,5,6],[7,8]]=>12
[4,1,7,2,8,3,5,6]=>[[1,3,5,7,8],[2,4,6]]=>3
[4,7,1,2,8,3,5,6]=>[[1,2,5,7,8],[3,4,6]]=>5
[4,1,7,8,2,3,5,6]=>[[1,3,4,7,8],[2,5,6]]=>5
[4,7,1,8,2,3,5,6]=>[[1,2,4,7,8],[3,5,6]]=>8
[4,7,8,1,2,3,5,6]=>[[1,2,3,7,8],[4,5,6]]=>9
[4,1,7,2,3,8,5,6]=>[[1,3,5,6,8],[2,4,7]]=>4
[4,7,1,2,3,8,5,6]=>[[1,2,5,6,8],[3,4,7]]=>6
[1,4,2,7,3,8,5,6]=>[[1,2,4,6,8],[3,5,7]]=>9
[1,4,7,2,3,8,5,6]=>[[1,2,3,6,8],[4,5,7]]=>10
[4,1,2,7,8,3,5,6]=>[[1,3,4,5,8],[2,6,7]]=>7
[1,4,2,7,8,3,5,6]=>[[1,2,4,5,8],[3,6,7]]=>10
[1,4,7,2,8,3,5,6]=>[[1,2,3,5,8],[4,6,7]]=>11
[1,4,7,8,2,3,5,6]=>[[1,2,3,4,8],[5,6,7]]=>12
[4,1,7,2,3,5,8,6]=>[[1,3,5,6,7],[2,4,8]]=>5
[4,7,1,2,3,5,8,6]=>[[1,2,5,6,7],[3,4,8]]=>7
[4,1,2,7,3,5,8,6]=>[[1,3,4,6,7],[2,5,8]]=>7
[1,4,2,7,3,5,8,6]=>[[1,2,4,6,7],[3,5,8]]=>10
[1,4,7,2,3,5,8,6]=>[[1,2,3,6,7],[4,5,8]]=>11
[4,1,2,3,7,5,8,6]=>[[1,3,4,5,7],[2,6,8]]=>8
[1,4,2,3,7,5,8,6]=>[[1,2,4,5,7],[3,6,8]]=>11
[1,2,4,3,7,5,8,6]=>[[1,2,3,5,7],[4,6,8]]=>12
[1,2,4,7,3,5,8,6]=>[[1,2,3,4,7],[5,6,8]]=>13
[4,1,2,3,7,8,5,6]=>[[1,3,4,5,6],[2,7,8]]=>9
[1,4,2,3,7,8,5,6]=>[[1,2,4,5,6],[3,7,8]]=>12
[1,2,4,3,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>13
[1,2,4,7,3,8,5,6]=>[[1,2,3,4,6],[5,7,8]]=>14
[1,2,4,7,8,3,5,6]=>[[1,2,3,4,5],[6,7,8]]=>15
[4,1,7,2,3,5,6,8]=>[[1,3,5,6,7,8],[2,4]]=>2
[4,7,1,2,3,5,6,8]=>[[1,2,5,6,7,8],[3,4]]=>4
[4,1,2,7,3,5,6,8]=>[[1,3,4,6,7,8],[2,5]]=>3
[1,4,2,7,3,5,6,8]=>[[1,2,4,6,7,8],[3,5]]=>5
[1,4,7,2,3,5,6,8]=>[[1,2,3,6,7,8],[4,5]]=>6
[4,1,2,3,7,5,6,8]=>[[1,3,4,5,7,8],[2,6]]=>4
[1,4,2,3,7,5,6,8]=>[[1,2,4,5,7,8],[3,6]]=>6
[1,2,4,3,7,5,6,8]=>[[1,2,3,5,7,8],[4,6]]=>7
[1,2,4,7,3,5,6,8]=>[[1,2,3,4,7,8],[5,6]]=>8
[4,1,2,3,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>5
[1,4,2,3,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>7
[1,2,4,5,7,3,6,8]=>[[1,2,3,4,5,8],[6,7]]=>10
[4,1,2,3,5,7,8,6]=>[[1,3,4,5,6,7],[2,8]]=>6
[1,4,2,3,5,7,8,6]=>[[1,2,4,5,6,7],[3,8]]=>8
[1,2,4,5,7,3,8,6]=>[[1,2,3,4,5,7],[6,8]]=>11
[1,2,4,5,7,8,3,6]=>[[1,2,3,4,5,6],[7,8]]=>12
[4,1,8,2,3,5,6,7]=>[[1,3,5,6,7,8],[2,4]]=>2
[4,8,1,2,3,5,6,7]=>[[1,2,5,6,7,8],[3,4]]=>4
[4,1,2,8,3,5,6,7]=>[[1,3,4,6,7,8],[2,5]]=>3
[1,4,2,8,3,5,6,7]=>[[1,2,4,6,7,8],[3,5]]=>5
[1,4,8,2,3,5,6,7]=>[[1,2,3,6,7,8],[4,5]]=>6
[4,1,2,3,8,5,6,7]=>[[1,3,4,5,7,8],[2,6]]=>4
[1,4,2,3,8,5,6,7]=>[[1,2,4,5,7,8],[3,6]]=>6
[1,2,4,3,8,5,6,7]=>[[1,2,3,5,7,8],[4,6]]=>7
[1,2,4,8,3,5,6,7]=>[[1,2,3,4,7,8],[5,6]]=>8
[4,1,2,3,5,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>5
[1,4,2,3,5,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>7
[1,2,4,3,5,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>8
[1,2,4,5,3,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>9
[1,2,4,5,8,3,6,7]=>[[1,2,3,4,5,8],[6,7]]=>10
[4,1,2,3,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>6
[1,4,2,3,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>8
[1,2,4,5,6,8,3,7]=>[[1,2,3,4,5,6],[7,8]]=>12
[1,4,2,3,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>2
[5,1,6,2,7,3,8,4]=>[[1,3,5,7],[2,4,6,8]]=>4
[5,6,1,2,7,3,8,4]=>[[1,2,5,7],[3,4,6,8]]=>6
[5,1,6,7,2,3,8,4]=>[[1,3,4,7],[2,5,6,8]]=>6
[5,6,1,7,2,3,8,4]=>[[1,2,4,7],[3,5,6,8]]=>9
[5,6,7,1,2,3,8,4]=>[[1,2,3,7],[4,5,6,8]]=>10
[5,6,1,2,7,8,3,4]=>[[1,2,5,6],[3,4,7,8]]=>8
[5,1,6,7,2,8,3,4]=>[[1,3,4,6],[2,5,7,8]]=>9
[5,6,7,1,2,8,3,4]=>[[1,2,3,6],[4,5,7,8]]=>14
[5,1,6,7,8,2,3,4]=>[[1,3,4,5],[2,6,7,8]]=>10
[5,6,1,7,8,2,3,4]=>[[1,2,4,5],[3,6,7,8]]=>14
[5,6,7,1,8,2,3,4]=>[[1,2,3,5],[4,6,7,8]]=>15
[5,1,6,2,7,3,4,8]=>[[1,3,5,7,8],[2,4,6]]=>3
[5,6,1,7,2,3,4,8]=>[[1,2,4,7,8],[3,5,6]]=>8
[5,1,6,2,3,7,4,8]=>[[1,3,5,6,8],[2,4,7]]=>4
[5,1,2,6,3,7,4,8]=>[[1,3,4,6,8],[2,5,7]]=>6
[1,5,2,6,3,7,4,8]=>[[1,2,4,6,8],[3,5,7]]=>9
[5,1,2,6,7,3,4,8]=>[[1,3,4,5,8],[2,6,7]]=>7
[1,5,2,6,7,3,4,8]=>[[1,2,4,5,8],[3,6,7]]=>10
[1,5,6,7,2,3,4,8]=>[[1,2,3,4,8],[5,6,7]]=>12
[5,1,6,2,3,7,8,4]=>[[1,3,5,6,7],[2,4,8]]=>5
[5,6,1,2,3,7,8,4]=>[[1,2,5,6,7],[3,4,8]]=>7
[5,1,2,6,3,7,8,4]=>[[1,3,4,6,7],[2,5,8]]=>7
[1,5,2,6,3,7,8,4]=>[[1,2,4,6,7],[3,5,8]]=>10
[1,5,6,2,3,7,8,4]=>[[1,2,3,6,7],[4,5,8]]=>11
[5,1,2,6,7,3,8,4]=>[[1,3,4,5,7],[2,6,8]]=>8
[1,5,6,7,2,3,8,4]=>[[1,2,3,4,7],[5,6,8]]=>13
[5,1,2,6,7,8,3,4]=>[[1,3,4,5,6],[2,7,8]]=>9
[1,5,2,6,7,8,3,4]=>[[1,2,4,5,6],[3,7,8]]=>12
[1,5,6,2,7,8,3,4]=>[[1,2,3,5,6],[4,7,8]]=>13
[1,5,6,7,2,8,3,4]=>[[1,2,3,4,6],[5,7,8]]=>14
[1,5,6,7,8,2,3,4]=>[[1,2,3,4,5],[6,7,8]]=>15
[5,1,6,2,8,3,4,7]=>[[1,3,5,7,8],[2,4,6]]=>3
[5,6,1,2,8,3,4,7]=>[[1,2,5,7,8],[3,4,6]]=>5
[5,6,1,8,2,3,4,7]=>[[1,2,4,7,8],[3,5,6]]=>8
[5,6,8,1,2,3,4,7]=>[[1,2,3,7,8],[4,5,6]]=>9
[5,1,6,2,3,8,4,7]=>[[1,3,5,6,8],[2,4,7]]=>4
[5,6,1,2,3,8,4,7]=>[[1,2,5,6,8],[3,4,7]]=>6
[5,1,2,6,3,8,4,7]=>[[1,3,4,6,8],[2,5,7]]=>6
[1,5,2,6,3,8,4,7]=>[[1,2,4,6,8],[3,5,7]]=>9
[1,5,6,2,3,8,4,7]=>[[1,2,3,6,8],[4,5,7]]=>10
[5,1,2,6,8,3,4,7]=>[[1,3,4,5,8],[2,6,7]]=>7
[1,5,2,6,8,3,4,7]=>[[1,2,4,5,8],[3,6,7]]=>10
[1,5,6,2,8,3,4,7]=>[[1,2,3,5,8],[4,6,7]]=>11
[1,5,6,8,2,3,4,7]=>[[1,2,3,4,8],[5,6,7]]=>12
[5,1,6,2,3,4,8,7]=>[[1,3,5,6,7],[2,4,8]]=>5
[5,6,1,2,3,4,8,7]=>[[1,2,5,6,7],[3,4,8]]=>7
[5,1,2,6,3,4,8,7]=>[[1,3,4,6,7],[2,5,8]]=>7
[1,5,2,6,3,4,8,7]=>[[1,2,4,6,7],[3,5,8]]=>10
[1,5,6,2,3,4,8,7]=>[[1,2,3,6,7],[4,5,8]]=>11
[1,5,2,3,6,4,8,7]=>[[1,2,4,5,7],[3,6,8]]=>11
[1,2,5,3,6,4,8,7]=>[[1,2,3,5,7],[4,6,8]]=>12
[1,2,5,6,3,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>13
[5,1,2,3,6,8,4,7]=>[[1,3,4,5,6],[2,7,8]]=>9
[1,5,2,3,6,8,4,7]=>[[1,2,4,5,6],[3,7,8]]=>12
[1,2,5,6,3,8,4,7]=>[[1,2,3,4,6],[5,7,8]]=>14
[5,1,6,2,3,4,7,8]=>[[1,3,5,6,7,8],[2,4]]=>2
[5,1,2,6,3,4,7,8]=>[[1,3,4,6,7,8],[2,5]]=>3
[1,5,2,6,3,4,7,8]=>[[1,2,4,6,7,8],[3,5]]=>5
[1,5,6,2,3,4,7,8]=>[[1,2,3,6,7,8],[4,5]]=>6
[5,1,2,3,6,4,7,8]=>[[1,3,4,5,7,8],[2,6]]=>4
[1,5,2,3,6,4,7,8]=>[[1,2,4,5,7,8],[3,6]]=>6
[1,2,5,3,6,4,7,8]=>[[1,2,3,5,7,8],[4,6]]=>7
[1,2,5,6,3,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>8
[5,1,2,3,6,7,4,8]=>[[1,3,4,5,6,8],[2,7]]=>5
[1,5,2,3,6,7,4,8]=>[[1,2,4,5,6,8],[3,7]]=>7
[1,2,5,3,6,7,4,8]=>[[1,2,3,5,6,8],[4,7]]=>8
[1,2,5,6,3,7,4,8]=>[[1,2,3,4,6,8],[5,7]]=>9
[5,1,2,3,6,7,8,4]=>[[1,3,4,5,6,7],[2,8]]=>6
[1,5,2,3,6,7,8,4]=>[[1,2,4,5,6,7],[3,8]]=>8
[1,2,5,3,6,7,8,4]=>[[1,2,3,5,6,7],[4,8]]=>9
[1,2,5,6,3,7,8,4]=>[[1,2,3,4,6,7],[5,8]]=>10
[1,2,5,6,7,3,8,4]=>[[1,2,3,4,5,7],[6,8]]=>11
[1,2,5,6,7,8,3,4]=>[[1,2,3,4,5,6],[7,8]]=>12
[5,1,7,2,8,3,4,6]=>[[1,3,5,7,8],[2,4,6]]=>3
[5,7,1,2,8,3,4,6]=>[[1,2,5,7,8],[3,4,6]]=>5
[5,1,7,8,2,3,4,6]=>[[1,3,4,7,8],[2,5,6]]=>5
[5,7,1,8,2,3,4,6]=>[[1,2,4,7,8],[3,5,6]]=>8
[5,7,8,1,2,3,4,6]=>[[1,2,3,7,8],[4,5,6]]=>9
[5,1,7,2,3,8,4,6]=>[[1,3,5,6,8],[2,4,7]]=>4
[5,7,1,2,3,8,4,6]=>[[1,2,5,6,8],[3,4,7]]=>6
[5,1,2,7,3,8,4,6]=>[[1,3,4,6,8],[2,5,7]]=>6
[1,5,2,7,3,8,4,6]=>[[1,2,4,6,8],[3,5,7]]=>9
[1,5,7,2,3,8,4,6]=>[[1,2,3,6,8],[4,5,7]]=>10
[5,1,2,7,8,3,4,6]=>[[1,3,4,5,8],[2,6,7]]=>7
[1,5,2,7,8,3,4,6]=>[[1,2,4,5,8],[3,6,7]]=>10
[1,5,7,2,8,3,4,6]=>[[1,2,3,5,8],[4,6,7]]=>11
[1,5,7,8,2,3,4,6]=>[[1,2,3,4,8],[5,6,7]]=>12
[5,1,7,2,3,4,8,6]=>[[1,3,5,6,7],[2,4,8]]=>5
[5,7,1,2,3,4,8,6]=>[[1,2,5,6,7],[3,4,8]]=>7
[5,1,2,7,3,4,8,6]=>[[1,3,4,6,7],[2,5,8]]=>7
[1,5,2,7,3,4,8,6]=>[[1,2,4,6,7],[3,5,8]]=>10
[1,5,7,2,3,4,8,6]=>[[1,2,3,6,7],[4,5,8]]=>11
[5,1,2,3,7,4,8,6]=>[[1,3,4,5,7],[2,6,8]]=>8
[1,5,2,3,7,4,8,6]=>[[1,2,4,5,7],[3,6,8]]=>11
[1,2,5,3,7,4,8,6]=>[[1,2,3,5,7],[4,6,8]]=>12
[1,2,5,7,3,4,8,6]=>[[1,2,3,4,7],[5,6,8]]=>13
[5,1,2,3,7,8,4,6]=>[[1,3,4,5,6],[2,7,8]]=>9
[1,5,2,3,7,8,4,6]=>[[1,2,4,5,6],[3,7,8]]=>12
[1,2,5,7,3,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>14
[1,2,5,7,8,3,4,6]=>[[1,2,3,4,5],[6,7,8]]=>15
[5,1,7,2,3,4,6,8]=>[[1,3,5,6,7,8],[2,4]]=>2
[5,7,1,2,3,4,6,8]=>[[1,2,5,6,7,8],[3,4]]=>4
[5,1,2,7,3,4,6,8]=>[[1,3,4,6,7,8],[2,5]]=>3
[1,5,2,7,3,4,6,8]=>[[1,2,4,6,7,8],[3,5]]=>5
[1,5,2,3,7,4,6,8]=>[[1,2,4,5,7,8],[3,6]]=>6
[1,2,5,3,7,4,6,8]=>[[1,2,3,5,7,8],[4,6]]=>7
[1,2,5,7,3,4,6,8]=>[[1,2,3,4,7,8],[5,6]]=>8
[1,5,2,3,4,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>7
[1,2,5,3,4,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>8
[1,2,3,5,7,4,6,8]=>[[1,2,3,4,5,8],[6,7]]=>10
[5,1,2,3,4,7,8,6]=>[[1,3,4,5,6,7],[2,8]]=>6
[1,5,2,3,4,7,8,6]=>[[1,2,4,5,6,7],[3,8]]=>8
[1,2,5,3,4,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>9
[1,2,3,5,7,4,8,6]=>[[1,2,3,4,5,7],[6,8]]=>11
[1,2,3,5,7,8,4,6]=>[[1,2,3,4,5,6],[7,8]]=>12
[5,1,8,2,3,4,6,7]=>[[1,3,5,6,7,8],[2,4]]=>2
[5,8,1,2,3,4,6,7]=>[[1,2,5,6,7,8],[3,4]]=>4
[5,1,2,8,3,4,6,7]=>[[1,3,4,6,7,8],[2,5]]=>3
[1,5,2,8,3,4,6,7]=>[[1,2,4,6,7,8],[3,5]]=>5
[1,5,8,2,3,4,6,7]=>[[1,2,3,6,7,8],[4,5]]=>6
[5,1,2,3,8,4,6,7]=>[[1,3,4,5,7,8],[2,6]]=>4
[1,5,2,3,8,4,6,7]=>[[1,2,4,5,7,8],[3,6]]=>6
[1,2,5,3,8,4,6,7]=>[[1,2,3,5,7,8],[4,6]]=>7
[1,2,5,8,3,4,6,7]=>[[1,2,3,4,7,8],[5,6]]=>8
[5,1,2,3,4,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>5
[1,5,2,3,4,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>7
[1,2,5,3,4,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>8
[1,2,3,5,4,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>9
[1,2,3,5,8,4,6,7]=>[[1,2,3,4,5,8],[6,7]]=>10
[5,1,2,3,4,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>6
[1,5,2,3,4,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>8
[1,2,5,3,4,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>9
[1,2,3,5,6,8,4,7]=>[[1,2,3,4,5,6],[7,8]]=>12
[1,5,2,3,4,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>2
[1,2,5,3,4,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>3
[6,1,7,2,8,3,4,5]=>[[1,3,5,7,8],[2,4,6]]=>3
[6,7,1,2,8,3,4,5]=>[[1,2,5,7,8],[3,4,6]]=>5
[6,1,7,8,2,3,4,5]=>[[1,3,4,7,8],[2,5,6]]=>5
[6,7,1,8,2,3,4,5]=>[[1,2,4,7,8],[3,5,6]]=>8
[6,1,7,2,3,8,4,5]=>[[1,3,5,6,8],[2,4,7]]=>4
[6,7,1,2,3,8,4,5]=>[[1,2,5,6,8],[3,4,7]]=>6
[6,1,2,7,3,8,4,5]=>[[1,3,4,6,8],[2,5,7]]=>6
[1,6,2,7,3,8,4,5]=>[[1,2,4,6,8],[3,5,7]]=>9
[1,6,7,2,3,8,4,5]=>[[1,2,3,6,8],[4,5,7]]=>10
[6,1,2,7,8,3,4,5]=>[[1,3,4,5,8],[2,6,7]]=>7
[1,6,2,7,8,3,4,5]=>[[1,2,4,5,8],[3,6,7]]=>10
[1,6,7,2,8,3,4,5]=>[[1,2,3,5,8],[4,6,7]]=>11
[1,6,7,8,2,3,4,5]=>[[1,2,3,4,8],[5,6,7]]=>12
[6,1,7,2,3,4,8,5]=>[[1,3,5,6,7],[2,4,8]]=>5
[6,7,1,2,3,4,8,5]=>[[1,2,5,6,7],[3,4,8]]=>7
[6,1,2,7,3,4,8,5]=>[[1,3,4,6,7],[2,5,8]]=>7
[1,6,2,7,3,4,8,5]=>[[1,2,4,6,7],[3,5,8]]=>10
[1,6,7,2,3,4,8,5]=>[[1,2,3,6,7],[4,5,8]]=>11
[6,1,2,3,7,4,8,5]=>[[1,3,4,5,7],[2,6,8]]=>8
[1,6,2,3,7,4,8,5]=>[[1,2,4,5,7],[3,6,8]]=>11
[1,2,6,3,7,4,8,5]=>[[1,2,3,5,7],[4,6,8]]=>12
[6,1,2,3,7,8,4,5]=>[[1,3,4,5,6],[2,7,8]]=>9
[1,6,2,3,7,8,4,5]=>[[1,2,4,5,6],[3,7,8]]=>12
[1,2,6,3,7,8,4,5]=>[[1,2,3,5,6],[4,7,8]]=>13
[1,2,6,7,3,8,4,5]=>[[1,2,3,4,6],[5,7,8]]=>14
[1,2,6,7,8,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>15
[6,1,7,2,3,4,5,8]=>[[1,3,5,6,7,8],[2,4]]=>2
[6,1,2,7,3,4,5,8]=>[[1,3,4,6,7,8],[2,5]]=>3
[1,6,2,7,3,4,5,8]=>[[1,2,4,6,7,8],[3,5]]=>5
[1,6,7,2,3,4,5,8]=>[[1,2,3,6,7,8],[4,5]]=>6
[6,1,2,3,7,4,5,8]=>[[1,3,4,5,7,8],[2,6]]=>4
[1,6,2,3,7,4,5,8]=>[[1,2,4,5,7,8],[3,6]]=>6
[1,2,6,3,7,4,5,8]=>[[1,2,3,5,7,8],[4,6]]=>7
[1,2,6,7,3,4,5,8]=>[[1,2,3,4,7,8],[5,6]]=>8
[6,1,2,3,4,7,5,8]=>[[1,3,4,5,6,8],[2,7]]=>5
[1,6,2,3,4,7,5,8]=>[[1,2,4,5,6,8],[3,7]]=>7
[1,2,6,3,4,7,5,8]=>[[1,2,3,5,6,8],[4,7]]=>8
[1,2,3,6,4,7,5,8]=>[[1,2,3,4,6,8],[5,7]]=>9
[1,2,3,6,7,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>10
[6,1,2,3,4,7,8,5]=>[[1,3,4,5,6,7],[2,8]]=>6
[1,6,2,3,4,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>8
[1,2,6,3,4,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>9
[1,2,3,6,4,7,8,5]=>[[1,2,3,4,6,7],[5,8]]=>10
[1,2,3,6,7,4,8,5]=>[[1,2,3,4,5,7],[6,8]]=>11
[1,2,3,6,7,8,4,5]=>[[1,2,3,4,5,6],[7,8]]=>12
[6,1,8,2,3,4,5,7]=>[[1,3,5,6,7,8],[2,4]]=>2
[6,8,1,2,3,4,5,7]=>[[1,2,5,6,7,8],[3,4]]=>4
[6,1,2,8,3,4,5,7]=>[[1,3,4,6,7,8],[2,5]]=>3
[1,6,2,8,3,4,5,7]=>[[1,2,4,6,7,8],[3,5]]=>5
[1,6,8,2,3,4,5,7]=>[[1,2,3,6,7,8],[4,5]]=>6
[6,1,2,3,8,4,5,7]=>[[1,3,4,5,7,8],[2,6]]=>4
[1,6,2,3,8,4,5,7]=>[[1,2,4,5,7,8],[3,6]]=>6
[1,2,6,3,8,4,5,7]=>[[1,2,3,5,7,8],[4,6]]=>7
[1,2,6,8,3,4,5,7]=>[[1,2,3,4,7,8],[5,6]]=>8
[6,1,2,3,4,8,5,7]=>[[1,3,4,5,6,8],[2,7]]=>5
[1,6,2,3,4,8,5,7]=>[[1,2,4,5,6,8],[3,7]]=>7
[1,2,6,3,4,8,5,7]=>[[1,2,3,5,6,8],[4,7]]=>8
[1,2,3,6,4,8,5,7]=>[[1,2,3,4,6,8],[5,7]]=>9
[1,2,3,6,8,4,5,7]=>[[1,2,3,4,5,8],[6,7]]=>10
[6,1,2,3,4,5,8,7]=>[[1,3,4,5,6,7],[2,8]]=>6
[1,6,2,3,4,5,8,7]=>[[1,2,4,5,6,7],[3,8]]=>8
[1,2,6,3,4,5,8,7]=>[[1,2,3,5,6,7],[4,8]]=>9
[1,2,3,6,4,5,8,7]=>[[1,2,3,4,6,7],[5,8]]=>10
[1,2,3,4,6,8,5,7]=>[[1,2,3,4,5,6],[7,8]]=>12
[1,6,2,3,4,5,7,8]=>[[1,2,4,5,6,7,8],[3]]=>2
[1,2,6,3,4,5,7,8]=>[[1,2,3,5,6,7,8],[4]]=>3
[1,2,3,6,4,5,7,8]=>[[1,2,3,4,6,7,8],[5]]=>4
[7,1,8,2,3,4,5,6]=>[[1,3,5,6,7,8],[2,4]]=>2
[7,1,2,8,3,4,5,6]=>[[1,3,4,6,7,8],[2,5]]=>3
[1,7,2,8,3,4,5,6]=>[[1,2,4,6,7,8],[3,5]]=>5
[1,7,8,2,3,4,5,6]=>[[1,2,3,6,7,8],[4,5]]=>6
[7,1,2,3,8,4,5,6]=>[[1,3,4,5,7,8],[2,6]]=>4
[1,7,2,3,8,4,5,6]=>[[1,2,4,5,7,8],[3,6]]=>6
[1,2,7,3,8,4,5,6]=>[[1,2,3,5,7,8],[4,6]]=>7
[1,2,7,8,3,4,5,6]=>[[1,2,3,4,7,8],[5,6]]=>8
[7,1,2,3,4,8,5,6]=>[[1,3,4,5,6,8],[2,7]]=>5
[1,7,2,3,4,8,5,6]=>[[1,2,4,5,6,8],[3,7]]=>7
[1,2,7,3,4,8,5,6]=>[[1,2,3,5,6,8],[4,7]]=>8
[1,2,3,7,4,8,5,6]=>[[1,2,3,4,6,8],[5,7]]=>9
[1,2,3,7,8,4,5,6]=>[[1,2,3,4,5,8],[6,7]]=>10
[7,1,2,3,4,5,8,6]=>[[1,3,4,5,6,7],[2,8]]=>6
[1,7,2,3,4,5,8,6]=>[[1,2,4,5,6,7],[3,8]]=>8
[1,2,7,3,4,5,8,6]=>[[1,2,3,5,6,7],[4,8]]=>9
[1,2,3,7,4,5,8,6]=>[[1,2,3,4,6,7],[5,8]]=>10
[1,2,3,4,7,5,8,6]=>[[1,2,3,4,5,7],[6,8]]=>11
[1,2,3,4,7,8,5,6]=>[[1,2,3,4,5,6],[7,8]]=>12
[1,7,2,3,4,5,6,8]=>[[1,2,4,5,6,7,8],[3]]=>2
[1,2,7,3,4,5,6,8]=>[[1,2,3,5,6,7,8],[4]]=>3
[1,2,3,7,4,5,6,8]=>[[1,2,3,4,6,7,8],[5]]=>4
[1,2,3,4,7,5,6,8]=>[[1,2,3,4,5,7,8],[6]]=>5
[1,8,2,3,4,5,6,7]=>[[1,2,4,5,6,7,8],[3]]=>2
[1,2,8,3,4,5,6,7]=>[[1,2,3,5,6,7,8],[4]]=>3
[1,2,3,8,4,5,6,7]=>[[1,2,3,4,6,7,8],[5]]=>4
[1,2,3,4,8,5,6,7]=>[[1,2,3,4,5,7,8],[6]]=>5
[1,2,3,4,5,8,6,7]=>[[1,2,3,4,5,6,8],[7]]=>6
[5,3,2,6,1,4,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[7,3,2,5,4,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[8,4,5,2,3,7,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[7,4,5,2,3,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[6,4,5,2,3,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[5,4,6,2,1,3,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[3,6,1,5,4,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[4,6,5,1,3,2,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[5,6,4,3,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[7,5,4,3,2,8,1,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>17
[8,6,4,3,7,2,5,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[7,6,4,3,8,2,1,5]=>[[1,5],[2,8],[3],[4],[6],[7]]=>18
[6,7,4,3,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[5,7,4,3,1,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[4,7,5,1,3,8,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[3,7,1,5,4,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[2,1,7,5,4,8,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[3,8,1,5,4,7,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[4,8,5,1,3,7,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[5,8,4,3,1,7,6,2]=>[[1,2],[3,6],[4,7],[5,8]]=>18
[6,8,4,3,7,1,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>19
[7,8,4,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>22
[6,8,5,7,3,1,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>22
[5,8,6,7,1,3,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[4,8,6,1,7,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[3,8,1,6,7,4,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[2,1,8,6,7,4,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[2,1,7,6,8,4,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[3,7,1,6,8,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[4,7,6,1,8,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[5,7,6,8,1,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[5,4,7,2,1,8,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[6,4,7,2,8,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[7,4,6,2,8,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[8,4,6,2,7,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[8,3,2,6,7,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[7,3,2,6,8,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[6,3,2,7,8,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[5,3,2,7,1,8,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[4,3,2,1,7,8,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[3,4,1,2,8,7,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[5,3,2,8,1,7,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>13
[6,3,2,8,7,1,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>14
[7,3,2,8,6,5,1,4]=>[[1,4],[2,5],[3,6],[7,8]]=>18
[8,4,7,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>23
[7,4,8,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>19
[6,4,8,2,7,1,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>15
[5,4,8,2,1,7,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>14
[4,5,8,1,2,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[3,5,1,8,2,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[2,1,5,8,3,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[2,1,6,8,7,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[3,6,1,8,7,2,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[4,6,8,1,7,2,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[5,6,8,7,1,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[6,5,8,7,2,1,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>20
[7,5,8,6,2,4,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>22
[8,5,7,6,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>22
[5,7,8,6,1,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[4,7,8,1,6,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[3,7,1,8,6,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[2,1,7,8,6,5,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[3,8,1,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>26
[4,8,7,1,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>25
[5,8,7,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>24
[6,8,7,5,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>23
[2,1,4,3,6,5,8,7,10,9]=>[[1,3,5,7,9],[2,4,6,8,10]]=>5
[3,4,1,2,6,5,8,7,10,9]=>[[1,2,5,7,9],[3,4,6,8,10]]=>7
[4,3,2,1,6,5,8,7,10,9]=>[[1,5,7,9],[2,6,8,10],[3],[4]]=>9
[6,5,4,3,2,1,8,7,10,9]=>[[1,7,9],[2,8,10],[3],[4],[5],[6]]=>17
[8,9,5,6,3,4,10,1,2,7]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>27
[4,3,2,1,8,7,6,5,10,9]=>[[1,5,9],[2,6,10],[3,7],[4,8]]=>13
[8,7,6,5,4,3,2,1,10,9]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>29
[9,7,6,5,4,3,2,10,1,8]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>30
[6,7,8,9,10,1,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[7,3,2,8,9,10,1,4,5,6]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>18
[8,5,4,3,2,9,10,1,6,7]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>21
[2,1,4,3,6,5,10,9,8,7]=>[[1,3,5,7],[2,4,6,8],[9],[10]]=>21
[2,1,6,5,4,3,10,9,8,7]=>[[1,3,7],[2,4,8],[5,9],[6,10]]=>25
[6,5,4,3,2,1,10,9,8,7]=>[[1,7],[2,8],[3,9],[4,10],[5],[6]]=>21
[9,7,5,10,3,8,2,6,1,4]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>27
[2,1,4,3,10,9,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8],[9],[10]]=>33
[4,3,2,1,10,9,8,7,6,5]=>[[1,5],[2,6],[3,7],[4,8],[9],[10]]=>29
[2,1,10,9,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>41
[10,9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9],[10]]=>45
[4,2,5,1,3,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[5,2,4,1,3,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[3,2,6,1,4,5,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[4,2,6,1,3,5,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[5,3,6,1,2,4,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[6,2,4,1,3,5,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[6,3,5,1,2,4,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[5,3,7,1,2,4,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[5,4,7,1,2,3,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[6,2,7,1,3,4,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[6,3,7,1,2,4,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[6,4,7,1,2,3,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[7,3,5,1,2,4,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[7,3,6,1,2,4,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[7,4,6,1,2,3,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>5
[3,2,8,1,4,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>5
[4,2,8,1,3,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>5
[5,4,8,1,2,3,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>5
[6,2,8,1,3,4,5,7]=>[[1,3,6,7,8],[2,5],[4]]=>5
[6,3,8,1,2,4,5,7]=>[[1,3,6,7,8],[2,5],[4]]=>5
[6,4,8,1,2,3,5,7]=>[[1,3,6,7,8],[2,5],[4]]=>5
[6,5,8,1,2,3,4,7]=>[[1,3,6,7,8],[2,5],[4]]=>5
[7,2,8,1,3,4,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>5
[7,3,8,1,2,4,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>5
[7,4,8,1,2,3,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>5
[7,5,8,1,2,3,4,6]=>[[1,3,6,7,8],[2,5],[4]]=>5
[8,2,4,1,3,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>5
[8,3,5,1,2,4,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>5
[8,3,6,1,2,4,5,7]=>[[1,3,6,7,8],[2,5],[4]]=>5
[8,3,7,1,2,4,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>5
[8,4,7,1,2,3,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>5
[8,5,7,1,2,3,4,6]=>[[1,3,6,7,8],[2,5],[4]]=>5
[3,2,5,7,1,4,6,8]=>[[1,3,4,8],[2,6,7],[5]]=>9
[4,2,5,7,1,3,6,8]=>[[1,3,4,8],[2,6,7],[5]]=>9
[5,2,4,7,1,3,6,8]=>[[1,3,4,8],[2,6,7],[5]]=>9
[4,2,6,7,1,3,5,8]=>[[1,3,4,8],[2,6,7],[5]]=>9
[5,2,6,7,1,3,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>9
[6,2,5,7,1,3,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>9
[6,3,5,7,1,2,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>9
[3,2,5,8,1,4,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>9
[4,2,5,8,1,3,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>9
[4,3,5,8,1,2,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>9
[5,2,4,8,1,3,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>9
[3,2,6,8,1,4,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>9
[4,2,6,8,1,3,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>9
[5,2,6,8,1,3,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>9
[6,2,4,8,1,3,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>9
[6,3,4,8,1,2,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>9
[6,2,5,8,1,3,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>9
[6,3,5,8,1,2,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>9
[6,4,5,8,1,2,3,7]=>[[1,3,4,8],[2,6,7],[5]]=>9
[3,2,7,8,1,4,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>9
[4,3,7,8,1,2,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>9
[5,3,7,8,1,2,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>9
[5,4,7,8,1,2,3,6]=>[[1,3,4,8],[2,6,7],[5]]=>9
[6,2,7,8,1,3,4,5]=>[[1,3,4,8],[2,6,7],[5]]=>9
[6,3,7,8,1,2,4,5]=>[[1,3,4,8],[2,6,7],[5]]=>9
[6,4,7,8,1,2,3,5]=>[[1,3,4,8],[2,6,7],[5]]=>9
[7,2,4,8,1,3,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>9
[7,3,4,8,1,2,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>9
[7,3,5,8,1,2,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>9
[7,4,5,8,1,2,3,6]=>[[1,3,4,8],[2,6,7],[5]]=>9
[7,4,6,8,1,2,3,5]=>[[1,3,4,8],[2,6,7],[5]]=>9
[8,3,4,6,1,2,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>9
[8,3,5,6,1,2,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>9
[8,2,4,7,1,3,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>9
[8,2,5,7,1,3,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>9
[8,3,5,7,1,2,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>9
[8,2,6,7,1,3,4,5]=>[[1,3,4,8],[2,6,7],[5]]=>9
[8,4,6,7,1,2,3,5]=>[[1,3,4,8],[2,6,7],[5]]=>9
[4,6,2,5,1,3,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>12
[4,6,3,5,1,2,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>12
[3,7,2,5,1,4,6,8]=>[[1,2,7,8],[3,4],[5,6]]=>12
[4,7,3,5,1,2,6,8]=>[[1,2,7,8],[3,4],[5,6]]=>12
[5,7,2,4,1,3,6,8]=>[[1,2,7,8],[3,4],[5,6]]=>12
[3,7,2,6,1,4,5,8]=>[[1,2,7,8],[3,4],[5,6]]=>12
[4,7,3,6,1,2,5,8]=>[[1,2,7,8],[3,4],[5,6]]=>12
[5,7,2,6,1,3,4,8]=>[[1,2,7,8],[3,4],[5,6]]=>12
[6,7,2,5,1,3,4,8]=>[[1,2,7,8],[3,4],[5,6]]=>12
[4,8,2,5,1,3,6,7]=>[[1,2,7,8],[3,4],[5,6]]=>12
[5,8,2,4,1,3,6,7]=>[[1,2,7,8],[3,4],[5,6]]=>12
[5,8,3,4,1,2,6,7]=>[[1,2,7,8],[3,4],[5,6]]=>12
[3,8,2,6,1,4,5,7]=>[[1,2,7,8],[3,4],[5,6]]=>12
[5,8,3,6,1,2,4,7]=>[[1,2,7,8],[3,4],[5,6]]=>12
[5,8,4,6,1,2,3,7]=>[[1,2,7,8],[3,4],[5,6]]=>12
[6,8,3,5,1,2,4,7]=>[[1,2,7,8],[3,4],[5,6]]=>12
[3,8,2,7,1,4,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>12
[4,8,2,7,1,3,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>12
[4,8,3,7,1,2,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>12
[5,8,2,7,1,3,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>12
[5,8,3,7,1,2,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>12
[6,8,2,7,1,3,4,5]=>[[1,2,7,8],[3,4],[5,6]]=>12
[6,8,3,7,1,2,4,5]=>[[1,2,7,8],[3,4],[5,6]]=>12
[6,8,5,7,1,2,3,4]=>[[1,2,7,8],[3,4],[5,6]]=>12
[7,8,2,4,1,3,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>12
[7,8,2,5,1,3,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>12
[7,8,3,5,1,2,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>12
[7,8,4,6,1,2,3,5]=>[[1,2,7,8],[3,4],[5,6]]=>12
[4,3,2,6,1,5,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[5,3,2,6,1,4,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[6,3,2,5,1,4,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[6,5,2,4,1,3,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[4,3,2,7,1,5,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[5,3,2,7,1,4,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[5,4,3,7,1,2,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[6,3,2,7,1,4,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[6,4,2,7,1,3,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[6,4,3,7,1,2,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[6,5,2,7,1,3,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[6,5,3,7,1,2,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[7,3,2,5,1,4,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[7,4,2,5,1,3,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[7,3,2,6,1,4,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[7,4,2,6,1,3,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[7,4,3,6,1,2,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[7,5,2,6,1,3,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[7,5,3,6,1,2,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[7,6,3,5,1,2,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[4,3,2,8,1,5,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[5,3,2,8,1,4,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[5,4,3,8,1,2,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[6,3,2,8,1,4,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[6,4,2,8,1,3,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[6,4,3,8,1,2,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[6,5,2,8,1,3,4,7]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[6,5,3,8,1,2,4,7]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[7,3,2,8,1,4,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[7,4,2,8,1,3,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[7,4,3,8,1,2,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[7,5,3,8,1,2,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[7,5,4,8,1,2,3,6]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[7,6,2,8,1,3,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,3,2,5,1,4,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,4,2,5,1,3,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,3,2,6,1,4,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,4,2,6,1,3,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,5,3,6,1,2,4,7]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,6,2,4,1,3,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,6,2,5,1,3,4,7]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,3,2,7,1,4,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,4,2,7,1,3,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,4,3,7,1,2,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,5,2,7,1,3,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,5,3,7,1,2,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,6,3,7,1,2,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,7,2,4,1,3,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,7,2,5,1,3,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,7,3,5,1,2,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,7,2,6,1,3,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,7,3,6,1,2,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[8,7,4,6,1,2,3,5]=>[[1,4,7,8],[2,6],[3],[5]]=>8
[4,6,3,5,8,1,2,7]=>[[1,2,5],[3,4,8],[6,7]]=>15
[5,6,2,4,8,1,3,7]=>[[1,2,5],[3,4,8],[6,7]]=>15
[4,7,2,5,8,1,3,6]=>[[1,2,5],[3,4,8],[6,7]]=>15
[4,7,3,5,8,1,2,6]=>[[1,2,5],[3,4,8],[6,7]]=>15
[5,7,2,4,8,1,3,6]=>[[1,2,5],[3,4,8],[6,7]]=>15
[5,7,3,4,8,1,2,6]=>[[1,2,5],[3,4,8],[6,7]]=>15
[4,7,3,6,8,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>15
[5,7,2,6,8,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>15
[5,7,4,6,8,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>15
[6,7,3,4,8,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>15
[6,7,3,5,8,1,2,4]=>[[1,2,5],[3,4,8],[6,7]]=>15
[3,8,2,5,7,1,4,6]=>[[1,2,5],[3,4,8],[6,7]]=>15
[4,8,3,5,7,1,2,6]=>[[1,2,5],[3,4,8],[6,7]]=>15
[5,8,2,4,7,1,3,6]=>[[1,2,5],[3,4,8],[6,7]]=>15
[3,8,2,6,7,1,4,5]=>[[1,2,5],[3,4,8],[6,7]]=>15
[5,8,2,6,7,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>15
[5,8,3,6,7,1,2,4]=>[[1,2,5],[3,4,8],[6,7]]=>15
[6,8,2,5,7,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>15
[6,8,4,5,7,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>15
[7,8,2,4,6,1,3,5]=>[[1,2,5],[3,4,8],[6,7]]=>15
[7,8,2,5,6,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>15
[7,8,3,5,6,1,2,4]=>[[1,2,5],[3,4,8],[6,7]]=>15
[4,3,2,6,8,1,5,7]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[5,3,2,6,8,1,4,7]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[5,4,2,6,8,1,3,7]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[5,4,3,6,8,1,2,7]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[6,3,2,5,8,1,4,7]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[6,4,3,5,8,1,2,7]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[6,5,2,4,8,1,3,7]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[4,3,2,7,8,1,5,6]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[5,3,2,7,8,1,4,6]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[5,4,2,7,8,1,3,6]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[5,4,3,7,8,1,2,6]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[6,4,2,7,8,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[6,4,3,7,8,1,2,5]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[6,5,2,7,8,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[7,4,2,5,8,1,3,6]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[7,4,3,5,8,1,2,6]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[7,5,2,6,8,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[7,5,3,6,8,1,2,4]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[7,6,2,4,8,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[7,6,3,5,8,1,2,4]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[8,3,2,5,7,1,4,6]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[8,4,2,5,7,1,3,6]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[8,5,2,4,7,1,3,6]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[8,3,2,6,7,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[8,5,2,6,7,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[8,5,3,6,7,1,2,4]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[8,6,2,4,7,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[8,7,2,4,6,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[8,7,3,4,6,1,2,5]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[8,7,2,5,6,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>12
[4,3,7,2,6,1,5,8]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[5,3,7,2,6,1,4,8]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[5,4,7,2,6,1,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[6,3,7,2,5,1,4,8]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[6,4,7,2,5,1,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[6,4,7,3,5,1,2,8]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[7,3,6,2,5,1,4,8]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[4,3,8,2,6,1,5,7]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[5,3,8,2,6,1,4,7]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[5,4,8,2,6,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[5,4,8,3,6,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[6,4,8,2,5,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[6,4,8,3,5,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[6,5,8,2,4,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[6,5,8,3,4,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[4,3,8,2,7,1,5,6]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[5,3,8,2,7,1,4,6]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[5,4,8,2,7,1,3,6]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[5,4,8,3,7,1,2,6]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[6,3,8,2,7,1,4,5]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[6,4,8,2,7,1,3,5]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[7,3,8,2,5,1,4,6]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[7,4,8,3,5,1,2,6]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[7,5,8,2,4,1,3,6]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[7,5,8,2,6,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[7,5,8,4,6,1,2,3]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[7,6,8,2,5,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[7,6,8,3,5,1,2,4]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[8,3,6,2,5,1,4,7]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[8,5,6,2,4,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[8,3,7,2,5,1,4,6]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[8,4,7,3,5,1,2,6]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[8,5,7,2,4,1,3,6]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[8,3,7,2,6,1,4,5]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[8,4,7,2,6,1,3,5]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[8,4,7,3,6,1,2,5]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[8,5,7,2,6,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[8,6,7,2,4,1,3,5]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[8,6,7,2,5,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[8,6,7,3,5,1,2,4]=>[[1,3,8],[2,5],[4,7],[6]]=>12
[5,4,3,2,7,1,6,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[6,4,3,2,7,1,5,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[6,5,3,2,7,1,4,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[6,5,4,2,7,1,3,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[7,5,3,2,6,1,4,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[7,5,4,2,6,1,3,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[5,4,3,2,8,1,6,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[6,5,3,2,8,1,4,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[6,5,4,2,8,1,3,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[6,5,4,3,8,1,2,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[7,5,3,2,8,1,4,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[7,5,4,2,8,1,3,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[7,6,3,2,8,1,4,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[7,6,4,3,8,1,2,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[7,6,5,2,8,1,3,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[8,5,3,2,6,1,4,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[8,5,4,2,6,1,3,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[8,6,5,2,4,1,3,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[8,5,3,2,7,1,4,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[8,6,3,2,7,1,4,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[8,6,4,3,7,1,2,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[8,7,3,2,6,1,4,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[8,7,4,2,6,1,3,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[8,7,4,3,6,1,2,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[8,7,5,2,6,1,3,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[8,7,6,2,4,1,3,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[8,7,6,2,5,1,3,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[8,7,6,3,5,1,2,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>12
[4,8,3,7,2,6,1,5]=>[[1,2],[3,4],[5,6],[7,8]]=>24
[5,8,3,7,2,6,1,4]=>[[1,2],[3,4],[5,6],[7,8]]=>24
[5,8,4,7,2,6,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>24
[5,8,4,7,3,6,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>24
[6,8,3,7,2,5,1,4]=>[[1,2],[3,4],[5,6],[7,8]]=>24
[6,8,4,7,2,5,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>24
[6,8,4,7,3,5,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>24
[6,8,5,7,2,4,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>24
[6,8,5,7,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>24
[7,8,3,6,2,5,1,4]=>[[1,2],[3,4],[5,6],[7,8]]=>24
[7,8,4,6,2,5,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>24
[7,8,4,6,3,5,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>24
[7,8,5,6,2,4,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>24
[5,4,3,8,2,7,1,6]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[6,4,3,8,2,7,1,5]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[6,5,3,8,2,7,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[6,5,4,8,3,7,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[7,4,3,8,2,6,1,5]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[7,5,3,8,2,6,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[7,5,4,8,2,6,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[7,6,3,8,2,5,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[7,6,4,8,2,5,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[7,6,5,8,2,4,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[8,4,3,7,2,6,1,5]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[8,5,3,7,2,6,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[8,5,4,7,2,6,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[8,5,4,7,3,6,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[8,6,3,7,2,5,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[8,6,4,7,2,5,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[8,6,4,7,3,5,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[8,6,5,7,2,4,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[8,7,3,6,2,5,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[8,7,4,6,2,5,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[8,7,4,6,3,5,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[8,7,5,6,2,4,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>16
[6,5,4,3,2,8,1,7]=>[[1,6],[2,8],[3],[4],[5],[7]]=>17
[7,6,5,4,2,8,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>17
[8,5,4,3,2,7,1,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>17
[8,6,5,3,2,7,1,4]=>[[1,6],[2,8],[3],[4],[5],[7]]=>17
[8,7,4,3,2,6,1,5]=>[[1,6],[2,8],[3],[4],[5],[7]]=>17
[8,7,5,3,2,6,1,4]=>[[1,6],[2,8],[3],[4],[5],[7]]=>17
[8,7,5,4,2,6,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>17
[8,7,6,3,2,5,1,4]=>[[1,6],[2,8],[3],[4],[5],[7]]=>17
[8,7,6,4,2,5,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>17
[8,7,6,5,2,4,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>17
[8,1,2,3,4,7,5,6]=>[[1,3,4,5,6,8],[2],[7]]=>7
[8,1,2,3,6,4,5,7]=>[[1,3,4,5,7,8],[2],[6]]=>6
[8,1,2,3,7,4,5,6]=>[[1,3,4,5,7,8],[2],[6]]=>6
[7,1,2,3,6,4,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>10
[5,1,2,3,8,7,4,6]=>[[1,3,4,5,8],[2,6],[7]]=>10
[8,1,2,3,6,7,4,5]=>[[1,3,4,5,6],[2,8],[7]]=>11
[4,1,2,8,3,7,5,6]=>[[1,3,4,6,8],[2,5],[7]]=>9
[8,1,2,5,3,4,6,7]=>[[1,3,4,6,7,8],[2],[5]]=>5
[7,1,2,5,3,4,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>9
[8,1,2,6,3,4,5,7]=>[[1,3,4,6,7,8],[2],[5]]=>5
[7,1,2,6,3,4,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>9
[6,1,2,5,3,8,4,7]=>[[1,3,4,6,8],[2,7],[5]]=>8
[8,1,2,5,3,7,4,6]=>[[1,3,4,6,8],[2,7],[5]]=>8
[8,1,2,6,3,7,4,5]=>[[1,3,4,6,8],[2,7],[5]]=>8
[6,1,2,5,3,7,8,4]=>[[1,3,4,6,7],[2,8],[5]]=>9
[4,1,2,8,6,3,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>8
[4,1,2,8,7,3,5,6]=>[[1,3,4,7,8],[2,5],[6]]=>8
[4,1,2,7,6,3,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>11
[8,1,2,5,6,3,4,7]=>[[1,3,4,5,8],[2,7],[6]]=>9
[8,1,2,5,7,3,4,6]=>[[1,3,4,5,8],[2,7],[6]]=>9
[8,1,2,7,6,3,4,5]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[7,1,2,5,6,3,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>10
[4,1,2,5,8,7,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>13
[4,1,2,8,6,7,3,5]=>[[1,3,4,6],[2,5,8],[7]]=>12
[8,1,2,5,6,7,3,4]=>[[1,3,4,5,6],[2,8],[7]]=>11
[3,1,8,2,4,7,5,6]=>[[1,3,5,6,8],[2,4],[7]]=>8
[3,1,8,2,6,4,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>7
[3,1,8,2,7,4,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>7
[3,1,7,2,6,4,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>9
[3,1,5,2,8,7,4,6]=>[[1,3,5,8],[2,4,6],[7]]=>9
[3,1,8,2,6,7,4,5]=>[[1,3,5,6],[2,4,8],[7]]=>10
[8,1,4,2,3,5,6,7]=>[[1,3,5,6,7,8],[2],[4]]=>4
[7,1,4,2,3,5,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>8
[6,1,4,2,3,8,5,7]=>[[1,3,5,6,8],[2,7],[4]]=>7
[8,1,4,2,3,7,5,6]=>[[1,3,5,6,8],[2,7],[4]]=>7
[6,1,4,2,3,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>8
[8,1,5,2,3,4,6,7]=>[[1,3,5,6,7,8],[2],[4]]=>4
[7,1,5,2,3,4,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>8
[8,1,7,2,3,4,5,6]=>[[1,3,5,6,7,8],[2],[4]]=>4
[6,1,5,2,3,8,4,7]=>[[1,3,5,6,8],[2,7],[4]]=>7
[8,1,5,2,3,7,4,6]=>[[1,3,5,6,8],[2,7],[4]]=>7
[6,1,8,2,3,7,4,5]=>[[1,3,5,6,8],[2,4],[7]]=>8
[6,1,5,2,3,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>8
[5,1,4,2,8,3,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>6
[5,1,4,2,7,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[8,1,4,2,6,3,5,7]=>[[1,3,5,7,8],[2,6],[4]]=>6
[8,1,4,2,7,3,5,6]=>[[1,3,5,7,8],[2,6],[4]]=>6
[7,1,4,2,6,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>9
[8,1,5,2,6,3,4,7]=>[[1,3,5,7,8],[2,6],[4]]=>6
[8,1,5,2,7,3,4,6]=>[[1,3,5,7,8],[2,6],[4]]=>6
[7,1,8,2,6,3,4,5]=>[[1,3,5,7,8],[2,4],[6]]=>7
[7,1,5,2,6,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>9
[5,1,4,2,6,8,3,7]=>[[1,3,5,6],[2,7,8],[4]]=>10
[5,1,4,2,8,7,3,6]=>[[1,3,5,8],[2,6],[4,7]]=>9
[8,1,4,2,6,7,3,5]=>[[1,3,5,6],[2,7,8],[4]]=>10
[8,1,5,2,6,7,3,4]=>[[1,3,5,6],[2,7,8],[4]]=>10
[5,1,4,2,6,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>8
[3,1,4,8,2,7,5,6]=>[[1,3,4,8],[2,5,6],[7]]=>11
[3,1,8,5,2,4,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>6
[3,1,7,5,2,4,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>8
[3,1,8,6,2,4,5,7]=>[[1,3,6,7,8],[2,4],[5]]=>6
[3,1,7,6,2,4,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>8
[3,1,6,5,2,8,4,7]=>[[1,3,6,8],[2,4,7],[5]]=>7
[3,1,8,5,2,7,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>7
[3,1,8,6,2,7,4,5]=>[[1,3,6,8],[2,4,7],[5]]=>7
[3,1,6,5,2,7,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>8
[8,1,4,5,2,3,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>7
[7,1,4,5,2,3,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>10
[8,1,4,6,2,3,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>7
[7,1,4,8,2,3,5,6]=>[[1,3,4,7,8],[2,6],[5]]=>7
[7,1,4,6,2,3,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>10
[8,1,6,5,2,3,4,7]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[7,1,8,5,2,3,4,6]=>[[1,3,6,7,8],[2,4],[5]]=>6
[7,1,8,6,2,3,4,5]=>[[1,3,6,7,8],[2,4],[5]]=>6
[7,1,6,5,2,3,8,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[6,1,4,5,2,8,3,7]=>[[1,3,4,6],[2,7,8],[5]]=>11
[8,1,4,5,2,7,3,6]=>[[1,3,4,6],[2,7,8],[5]]=>11
[8,1,4,6,2,7,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>11
[8,1,6,5,2,7,3,4]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[6,1,4,5,2,7,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>9
[3,1,4,8,6,2,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>10
[3,1,4,8,7,2,5,6]=>[[1,3,4,8],[2,5,7],[6]]=>10
[3,1,4,7,6,2,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>11
[3,1,8,5,6,2,4,7]=>[[1,3,5,8],[2,4,7],[6]]=>8
[3,1,8,5,7,2,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>8
[3,1,8,7,6,2,4,5]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[3,1,7,5,6,2,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>9
[8,1,4,5,6,2,3,7]=>[[1,3,4,5,8],[2,7],[6]]=>9
[8,1,4,5,7,2,3,6]=>[[1,3,4,5],[2,7,8],[6]]=>12
[8,1,4,7,6,2,3,5]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[8,1,7,5,6,2,3,4]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[7,1,4,5,6,2,8,3]=>[[1,3,4,5,7],[2,8],[6]]=>10
[3,1,4,5,8,7,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>13
[3,1,4,8,6,7,2,5]=>[[1,3,4,6],[2,5,8],[7]]=>12
[3,1,8,5,6,7,2,4]=>[[1,3,5,6],[2,4,8],[7]]=>10
[8,1,4,5,6,7,2,3]=>[[1,3,4,5,6],[2,8],[7]]=>11
[2,8,1,3,4,7,5,6]=>[[1,2,5,6,8],[3,4],[7]]=>10
[2,8,1,3,6,4,5,7]=>[[1,2,5,7,8],[3,4],[6]]=>9
[2,8,1,3,7,4,5,6]=>[[1,2,5,7,8],[3,4],[6]]=>9
[2,7,1,3,6,4,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>11
[2,5,1,3,8,7,4,6]=>[[1,2,5,8],[3,4,6],[7]]=>11
[2,8,1,3,6,7,4,5]=>[[1,2,5,6],[3,4,8],[7]]=>12
[2,4,1,8,3,7,5,6]=>[[1,2,4,8],[3,5,6],[7]]=>14
[2,8,1,5,3,4,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>8
[2,7,1,5,3,4,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>10
[2,8,1,6,3,4,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>8
[2,7,1,6,3,4,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>10
[2,6,1,5,3,8,4,7]=>[[1,2,6,8],[3,4,7],[5]]=>9
[2,8,1,5,3,7,4,6]=>[[1,2,6,8],[3,4,7],[5]]=>9
[2,6,1,5,3,7,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>10
[2,4,1,8,6,3,5,7]=>[[1,2,4,8],[3,5,7],[6]]=>13
[2,4,1,8,7,3,5,6]=>[[1,2,4,8],[3,5,7],[6]]=>13
[2,4,1,7,6,3,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>14
[2,8,1,5,6,3,4,7]=>[[1,2,5,8],[3,4,7],[6]]=>10
[2,8,1,5,7,3,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>10
[2,8,1,7,6,3,4,5]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[2,7,1,5,6,3,8,4]=>[[1,2,5,7],[3,4,8],[6]]=>11
[2,4,1,5,8,7,3,6]=>[[1,2,4,5],[3,6,8],[7]]=>16
[2,4,1,8,6,7,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>15
[2,8,1,5,6,7,3,4]=>[[1,2,5,6],[3,4,8],[7]]=>12
[7,3,1,2,4,5,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>7
[6,3,1,2,4,8,5,7]=>[[1,4,5,6,8],[2,7],[3]]=>6
[8,3,1,2,4,7,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>6
[6,3,1,2,4,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>7
[5,3,1,2,8,4,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>5
[5,3,1,2,7,4,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>8
[8,3,1,2,6,4,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>5
[8,3,1,2,7,4,5,6]=>[[1,4,5,7,8],[2,6],[3]]=>5
[7,3,1,2,6,4,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>8
[5,3,1,2,6,8,4,7]=>[[1,4,5,6],[2,7,8],[3]]=>9
[5,3,1,2,8,7,4,6]=>[[1,4,5,8],[2,6],[3,7]]=>8
[8,3,1,2,6,7,4,5]=>[[1,4,5,6],[2,7,8],[3]]=>9
[5,3,1,2,6,7,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>7
[7,4,1,2,3,5,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>7
[6,4,1,2,3,8,5,7]=>[[1,4,5,6,8],[2,7],[3]]=>6
[8,4,1,2,3,7,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>6
[6,4,1,2,3,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>7
[7,6,1,2,3,4,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>7
[5,8,1,2,3,7,4,6]=>[[1,2,5,6,8],[3,4],[7]]=>10
[8,6,1,2,3,7,4,5]=>[[1,4,5,6,8],[2,7],[3]]=>6
[5,4,1,2,8,3,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>5
[5,4,1,2,7,3,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>8
[8,4,1,2,6,3,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>5
[8,4,1,2,7,3,5,6]=>[[1,4,5,7,8],[2,6],[3]]=>5
[7,4,1,2,6,3,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>8
[5,8,1,2,6,3,4,7]=>[[1,2,5,7,8],[3,4],[6]]=>9
[5,8,1,2,7,3,4,6]=>[[1,2,5,7,8],[3,4],[6]]=>9
[8,7,1,2,6,3,4,5]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[5,7,1,2,6,3,8,4]=>[[1,2,5,7],[3,4,8],[6]]=>11
[5,4,1,2,6,8,3,7]=>[[1,4,5,6],[2,7,8],[3]]=>9
[5,4,1,2,8,7,3,6]=>[[1,4,5,8],[2,6],[3,7]]=>8
[8,4,1,2,6,7,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>9
[5,8,1,2,6,7,3,4]=>[[1,2,5,6],[3,4,8],[7]]=>12
[5,4,1,2,6,7,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>7
[4,3,1,8,2,5,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>4
[4,3,1,7,2,5,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>6
[4,3,1,6,2,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>5
[4,3,1,8,2,7,5,6]=>[[1,4,6,8],[2,5],[3,7]]=>7
[4,3,1,6,2,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>6
[8,3,1,5,2,4,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>4
[7,3,1,5,2,4,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>6
[8,3,1,6,2,4,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>4
[7,3,1,8,2,4,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>4
[7,3,1,6,2,4,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>6
[6,3,1,5,2,8,4,7]=>[[1,4,6,8],[2,5,7],[3]]=>5
[8,3,1,5,2,7,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>5
[8,3,1,6,2,7,4,5]=>[[1,4,6,8],[2,5,7],[3]]=>5
[6,3,1,5,2,7,8,4]=>[[1,4,6,7],[2,5,8],[3]]=>6
[8,4,1,5,2,3,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>4
[7,4,1,5,2,3,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>6
[8,4,1,6,2,3,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>4
[7,4,1,8,2,3,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>4
[7,4,1,6,2,3,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>6
[6,8,1,5,2,3,4,7]=>[[1,2,6,7,8],[3,4],[5]]=>8
[8,7,1,5,2,3,4,6]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[8,7,1,6,2,3,4,5]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[6,7,1,5,2,3,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>10
[6,4,1,5,2,8,3,7]=>[[1,4,6,8],[2,5,7],[3]]=>5
[8,4,1,5,2,7,3,6]=>[[1,4,6,8],[2,5,7],[3]]=>5
[8,4,1,6,2,7,3,5]=>[[1,4,6,8],[2,5,7],[3]]=>5
[6,8,1,5,2,7,3,4]=>[[1,2,6,8],[3,4],[5,7]]=>13
[6,4,1,5,2,7,8,3]=>[[1,4,6,7],[2,5,8],[3]]=>6
[4,3,1,5,8,2,6,7]=>[[1,4,5,8],[2,6,7],[3]]=>7
[4,3,1,5,7,2,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>8
[4,3,1,8,6,2,5,7]=>[[1,4,7,8],[2,5],[3,6]]=>6
[4,3,1,8,7,2,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>6
[4,3,1,7,6,2,8,5]=>[[1,4,7],[2,5,8],[3,6]]=>7
[8,3,1,5,6,2,4,7]=>[[1,4,5,8],[2,6,7],[3]]=>7
[8,3,1,5,7,2,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>7
[8,3,1,7,6,2,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[7,3,1,5,6,2,8,4]=>[[1,4,5,7],[2,6,8],[3]]=>8
[8,4,1,5,6,2,3,7]=>[[1,4,5,8],[2,6,7],[3]]=>7
[8,4,1,5,7,2,3,6]=>[[1,4,5,8],[2,6,7],[3]]=>7
[8,4,1,7,6,2,3,5]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[7,8,1,5,6,2,3,4]=>[[1,2,5,8],[3,4],[6,7]]=>14
[7,4,1,5,6,2,8,3]=>[[1,4,5,7],[2,6,8],[3]]=>8
[4,3,1,5,6,8,2,7]=>[[1,4,5,6],[2,7,8],[3]]=>9
[4,3,1,5,8,7,2,6]=>[[1,4,5],[2,6,8],[3,7]]=>10
[4,3,1,8,6,7,2,5]=>[[1,4,6],[2,5,8],[3,7]]=>8
[8,3,1,5,6,7,2,4]=>[[1,4,5,6],[2,7,8],[3]]=>9
[8,4,1,5,6,7,2,3]=>[[1,4,5,6],[2,7,8],[3]]=>9
[4,3,1,5,6,7,8,2]=>[[1,4,5,6,7],[2,8],[3]]=>7
[2,3,8,1,4,7,5,6]=>[[1,2,3,6,8],[4,5],[7]]=>12
[2,3,8,1,6,4,5,7]=>[[1,2,3,7,8],[4,5],[6]]=>11
[2,3,8,1,7,4,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>11
[2,3,7,1,6,4,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>15
[2,3,5,1,8,7,4,6]=>[[1,2,3,5],[4,6,8],[7]]=>17
[2,3,8,1,6,7,4,5]=>[[1,2,3,6],[4,5,8],[7]]=>16
[2,8,4,1,3,5,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>7
[2,7,4,1,3,5,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>9
[2,6,4,1,3,8,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>8
[2,8,4,1,3,7,5,6]=>[[1,2,6,8],[3,5,7],[4]]=>8
[2,6,4,1,3,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>9
[2,8,5,1,3,4,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>7
[2,7,5,1,3,4,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>9
[2,8,7,1,3,4,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>7
[2,6,5,1,3,8,4,7]=>[[1,2,6,8],[3,5,7],[4]]=>8
[2,8,5,1,3,7,4,6]=>[[1,2,6,8],[3,5,7],[4]]=>8
[2,6,8,1,3,7,4,5]=>[[1,2,3,8],[4,5,6],[7]]=>15
[2,6,5,1,3,7,8,4]=>[[1,2,6,7],[3,5,8],[4]]=>9
[2,5,4,1,8,3,6,7]=>[[1,2,5,8],[3,6,7],[4]]=>11
[2,5,4,1,7,3,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>12
[2,8,4,1,6,3,5,7]=>[[1,2,5,8],[3,6,7],[4]]=>11
[2,8,4,1,7,3,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>11
[2,7,4,1,6,3,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>12
[2,8,5,1,6,3,4,7]=>[[1,2,5,8],[3,6,7],[4]]=>11
[2,8,5,1,7,3,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>11
[2,7,8,1,6,3,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>14
[2,7,5,1,6,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>12
[2,5,4,1,6,8,3,7]=>[[1,2,5,6],[3,7,8],[4]]=>13
[2,5,4,1,8,7,3,6]=>[[1,2,5],[3,6,8],[4,7]]=>15
[2,8,4,1,6,7,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>13
[2,8,5,1,6,7,3,4]=>[[1,2,5,6],[3,7,8],[4]]=>13
[2,5,4,1,6,7,8,3]=>[[1,2,5,6,7],[3,8],[4]]=>10
[7,3,4,1,2,5,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>7
[6,3,4,1,2,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>6
[8,3,4,1,2,7,5,6]=>[[1,3,6,8],[2,5,7],[4]]=>6
[6,3,4,1,2,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>7
[7,3,5,1,2,4,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>7
[6,3,7,1,2,4,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>7
[6,3,5,1,2,8,4,7]=>[[1,3,6,8],[2,5,7],[4]]=>6
[8,3,5,1,2,7,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>6
[6,3,8,1,2,7,4,5]=>[[1,3,6,8],[2,5],[4,7]]=>8
[6,3,5,1,2,7,8,4]=>[[1,3,6,7],[2,5,8],[4]]=>7
[7,5,4,1,2,3,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[6,8,4,1,2,3,5,7]=>[[1,2,6,7,8],[3,5],[4]]=>7
[6,7,4,1,2,3,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>9
[6,8,5,1,2,3,4,7]=>[[1,2,6,7,8],[3,5],[4]]=>7
[6,7,5,1,2,3,8,4]=>[[1,2,6,7],[3,5,8],[4]]=>9
[6,5,4,1,2,8,3,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[8,5,4,1,2,7,3,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[6,8,4,1,2,7,3,5]=>[[1,2,6,8],[3,5],[4,7]]=>11
[6,8,5,1,2,7,3,4]=>[[1,2,6,8],[3,5],[4,7]]=>11
[6,5,4,1,2,7,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[5,3,4,1,8,2,6,7]=>[[1,3,5,8],[2,6,7],[4]]=>8
[5,3,4,1,7,2,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[8,3,4,1,6,2,5,7]=>[[1,3,5,8],[2,6,7],[4]]=>8
[8,3,4,1,7,2,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>8
[7,3,4,1,6,2,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>9
[8,3,5,1,6,2,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>8
[8,3,5,1,7,2,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>8
[7,3,8,1,6,2,4,5]=>[[1,3,7,8],[2,5],[4,6]]=>7
[7,3,5,1,6,2,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>9
[8,5,4,1,6,2,3,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[8,5,4,1,7,2,3,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[7,8,4,1,6,2,3,5]=>[[1,2,7,8],[3,5],[4,6]]=>10
[7,8,5,1,6,2,3,4]=>[[1,2,7,8],[3,5],[4,6]]=>10
[7,5,4,1,6,2,8,3]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[5,3,4,1,6,8,2,7]=>[[1,3,5,6],[2,7,8],[4]]=>10
[5,3,4,1,8,7,2,6]=>[[1,3,5],[2,6,8],[4,7]]=>11
[8,3,4,1,6,7,2,5]=>[[1,3,5,6],[2,7,8],[4]]=>10
[8,3,5,1,6,7,2,4]=>[[1,3,5,6],[2,7,8],[4]]=>10
[8,5,4,1,6,7,2,3]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[5,3,4,1,6,7,8,2]=>[[1,3,5,6,7],[2,8],[4]]=>8
[2,3,4,8,1,7,5,6]=>[[1,2,3,4,8],[5,6],[7]]=>14
[2,3,8,5,1,4,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>10
[2,3,7,5,1,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>14
[2,3,8,6,1,4,5,7]=>[[1,2,3,7,8],[4,6],[5]]=>10
[2,3,7,6,1,4,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>14
[2,3,6,5,1,8,4,7]=>[[1,2,3,6],[4,7,8],[5]]=>15
[2,3,8,5,1,7,4,6]=>[[1,2,3,6],[4,7,8],[5]]=>15
[2,3,8,6,1,7,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>15
[2,3,6,5,1,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>12
[2,8,4,5,1,3,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>9
[2,7,4,5,1,3,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>13
[2,8,4,6,1,3,5,7]=>[[1,2,4,8],[3,6,7],[5]]=>12
[2,7,4,8,1,3,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>12
[2,7,4,6,1,3,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>13
[2,8,6,5,1,3,4,7]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[2,7,8,5,1,3,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>13
[2,7,8,6,1,3,4,5]=>[[1,2,3,8],[4,6,7],[5]]=>13
[2,7,6,5,1,3,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[2,6,4,5,1,8,3,7]=>[[1,2,4,6],[3,7,8],[5]]=>14
[2,8,4,5,1,7,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>14
[2,8,4,6,1,7,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>14
[2,8,6,5,1,7,3,4]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[2,6,4,5,1,7,8,3]=>[[1,2,4,6,7],[3,8],[5]]=>11
[7,3,4,5,1,2,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>10
[7,3,4,6,1,2,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>10
[8,3,6,5,1,2,4,7]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[7,3,8,5,1,2,4,6]=>[[1,3,7,8],[2,4],[5,6]]=>10
[7,3,8,6,1,2,4,5]=>[[1,3,7,8],[2,4],[5,6]]=>10
[7,3,6,5,1,2,8,4]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[7,6,4,5,1,2,8,3]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[6,3,4,5,1,8,2,7]=>[[1,3,4,6],[2,7,8],[5]]=>11
[8,3,4,5,1,7,2,6]=>[[1,3,4,6],[2,7,8],[5]]=>11
[8,3,4,6,1,7,2,5]=>[[1,3,4,6],[2,7,8],[5]]=>11
[8,3,6,5,1,7,2,4]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[8,6,4,5,1,7,2,3]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[6,3,4,5,1,7,8,2]=>[[1,3,4,6,7],[2,8],[5]]=>9
[2,3,4,8,6,1,5,7]=>[[1,2,3,4,8],[5,7],[6]]=>13
[2,3,4,8,7,1,5,6]=>[[1,2,3,4,8],[5,7],[6]]=>13
[2,3,4,7,6,1,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>14
[2,3,8,5,6,1,4,7]=>[[1,2,3,5,8],[4,7],[6]]=>12
[2,3,8,5,7,1,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>16
[2,3,8,7,6,1,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[2,3,7,5,6,1,8,4]=>[[1,2,3,5,7],[4,8],[6]]=>13
[2,8,4,5,6,1,3,7]=>[[1,2,4,5,8],[3,7],[6]]=>11
[2,8,4,5,7,1,3,6]=>[[1,2,4,5],[3,7,8],[6]]=>15
[2,8,4,7,6,1,3,5]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[2,8,7,5,6,1,3,4]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[2,7,4,5,6,1,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>12
[8,3,4,5,7,1,2,6]=>[[1,3,4,5],[2,7,8],[6]]=>12
[8,3,4,7,6,1,2,5]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[8,3,7,5,6,1,2,4]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[7,3,4,5,6,1,8,2]=>[[1,3,4,5,7],[2,8],[6]]=>10
[2,3,4,5,8,7,1,6]=>[[1,2,3,4,5],[6,8],[7]]=>16
[2,3,4,8,6,7,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>15
[2,3,8,5,6,7,1,4]=>[[1,2,3,5,6],[4,8],[7]]=>14
[2,8,4,5,6,7,1,3]=>[[1,2,4,5,6],[3,8],[7]]=>13
[9,1,2,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8,9],[2]]=>1
[8,1,2,3,4,5,6,9,7]=>[[1,3,4,5,6,7,8],[2,9]]=>7
[7,1,2,3,4,5,9,6,8]=>[[1,3,4,5,6,7,9],[2,8]]=>6
[9,1,2,3,4,5,8,6,7]=>[[1,3,4,5,6,7,9],[2],[8]]=>8
[7,1,2,3,4,5,8,9,6]=>[[1,3,4,5,6,7,8],[2,9]]=>7
[6,1,2,3,4,9,5,7,8]=>[[1,3,4,5,6,8,9],[2,7]]=>5
[9,1,2,3,4,7,5,6,8]=>[[1,3,4,5,6,8,9],[2],[7]]=>7
[9,1,2,3,4,8,5,6,7]=>[[1,3,4,5,6,8,9],[2],[7]]=>7
[6,1,2,3,4,7,8,9,5]=>[[1,3,4,5,6,7,8],[2,9]]=>7
[5,1,2,3,9,4,6,7,8]=>[[1,3,4,5,7,8,9],[2,6]]=>4
[9,1,2,3,6,4,5,7,8]=>[[1,3,4,5,7,8,9],[2],[6]]=>6
[8,1,2,3,9,4,5,6,7]=>[[1,3,4,5,7,8,9],[2,6]]=>4
[5,1,2,3,6,7,8,9,4]=>[[1,3,4,5,6,7,8],[2,9]]=>7
[9,1,2,5,3,4,6,7,8]=>[[1,3,4,6,7,8,9],[2],[5]]=>5
[9,1,2,8,3,4,5,6,7]=>[[1,3,4,6,7,8,9],[2],[5]]=>5
[4,1,2,5,9,3,6,7,8]=>[[1,3,4,5,8,9],[2,6,7]]=>7
[4,1,2,8,9,3,5,6,7]=>[[1,3,4,5,8,9],[2,6,7]]=>7
[4,1,2,5,6,7,8,9,3]=>[[1,3,4,5,6,7,8],[2,9]]=>7
[3,1,9,2,4,5,6,7,8]=>[[1,3,5,6,7,8,9],[2,4]]=>2
[3,1,5,2,7,4,9,6,8]=>[[1,3,5,7,9],[2,4,6,8]]=>4
[9,1,8,2,3,4,5,6,7]=>[[1,3,5,6,7,8,9],[2],[4]]=>4
[3,1,4,9,2,5,6,7,8]=>[[1,3,4,7,8,9],[2,5,6]]=>5
[7,1,8,9,2,3,4,5,6]=>[[1,3,4,7,8,9],[2,5,6]]=>5
[3,1,4,5,6,7,8,9,2]=>[[1,3,4,5,6,7,8],[2,9]]=>7
[2,9,1,3,4,5,6,7,8]=>[[1,2,5,6,7,8,9],[3,4]]=>4
[2,7,1,3,4,5,9,6,8]=>[[1,2,5,6,7,9],[3,4,8]]=>7
[2,6,1,3,4,9,5,7,8]=>[[1,2,5,6,8,9],[3,4,7]]=>6
[2,8,1,3,9,4,5,6,7]=>[[1,2,5,7,8,9],[3,4,6]]=>5
[2,4,1,6,3,8,5,9,7]=>[[1,2,4,6,8],[3,5,7,9]]=>14
[2,4,1,5,9,3,6,7,8]=>[[1,2,4,5,8,9],[3,6,7]]=>10
[2,4,1,5,6,7,8,9,3]=>[[1,2,4,5,6,7,8],[3,9]]=>9
[9,3,1,2,4,5,6,7,8]=>[[1,4,5,6,7,8,9],[2],[3]]=>3
[9,4,1,2,3,5,6,7,8]=>[[1,4,5,6,7,8,9],[2],[3]]=>3
[5,9,1,2,3,4,6,7,8]=>[[1,2,5,6,7,8,9],[3,4]]=>4
[9,6,1,2,3,4,5,7,8]=>[[1,4,5,6,7,8,9],[2],[3]]=>3
[9,7,1,2,3,4,5,6,8]=>[[1,4,5,6,7,8,9],[2],[3]]=>3
[8,9,1,2,3,4,5,6,7]=>[[1,2,5,6,7,8,9],[3,4]]=>4
[5,6,1,2,3,9,4,7,8]=>[[1,2,5,6,8,9],[3,4,7]]=>6
[5,8,1,2,9,3,4,6,7]=>[[1,2,5,7,8,9],[3,4,6]]=>5
[4,3,1,9,2,5,6,7,8]=>[[1,4,6,7,8,9],[2,5],[3]]=>4
[9,3,1,8,2,4,5,6,7]=>[[1,4,6,7,8,9],[2,5],[3]]=>4
[9,4,1,5,2,3,6,7,8]=>[[1,4,6,7,8,9],[2,5],[3]]=>4
[9,4,1,8,2,3,5,6,7]=>[[1,4,6,7,8,9],[2,5],[3]]=>4
[8,7,1,9,2,3,4,5,6]=>[[1,4,6,7,8,9],[2,5],[3]]=>4
[9,4,1,6,2,8,3,5,7]=>[[1,4,6,8,9],[2,5,7],[3]]=>5
[2,3,9,1,4,5,6,7,8]=>[[1,2,3,6,7,8,9],[4,5]]=>6
[2,3,5,1,6,7,8,9,4]=>[[1,2,3,5,6,7,8],[4,9]]=>10
[2,6,9,1,3,4,5,7,8]=>[[1,2,3,7,8,9],[4,5,6]]=>9
[9,3,4,1,2,5,6,7,8]=>[[1,3,6,7,8,9],[2,5],[4]]=>5
[9,3,7,1,2,4,5,6,8]=>[[1,3,6,7,8,9],[2,5],[4]]=>5
[9,3,8,1,2,4,5,6,7]=>[[1,3,6,7,8,9],[2,5],[4]]=>5
[9,5,4,1,2,3,6,7,8]=>[[1,5,6,7,8,9],[2],[3],[4]]=>6
[9,7,4,1,2,3,5,6,8]=>[[1,5,6,7,8,9],[2],[3],[4]]=>6
[9,8,4,1,2,3,5,6,7]=>[[1,5,6,7,8,9],[2],[3],[4]]=>6
[6,7,9,1,2,3,4,5,8]=>[[1,2,3,7,8,9],[4,5,6]]=>9
[9,7,8,1,2,3,4,5,6]=>[[1,3,6,7,8,9],[2,5],[4]]=>5
[9,8,5,1,7,2,3,4,6]=>[[1,5,7,8,9],[2,6],[3],[4]]=>7
[9,5,4,1,8,7,2,3,6]=>[[1,5,8,9],[2,6],[3,7],[4]]=>9
[2,3,4,9,1,5,6,7,8]=>[[1,2,3,4,7,8,9],[5,6]]=>8
[2,3,4,6,1,7,8,9,5]=>[[1,2,3,4,6,7,8],[5,9]]=>11
[2,3,7,9,1,4,5,6,8]=>[[1,2,3,4,8,9],[5,6,7]]=>12
[2,7,8,9,1,3,4,5,6]=>[[1,2,3,4,9],[5,6,7,8]]=>16
[9,3,4,8,1,2,5,6,7]=>[[1,3,4,8,9],[2,6,7],[5]]=>9
[7,3,8,9,1,2,4,5,6]=>[[1,3,4,8,9],[2,6,7],[5]]=>9
[9,8,4,5,1,2,3,6,7]=>[[1,4,7,8,9],[2,6],[3],[5]]=>8
[9,8,6,5,1,2,3,4,7]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>10
[2,3,4,5,9,1,6,7,8]=>[[1,2,3,4,5,8,9],[6,7]]=>10
[2,3,4,5,7,1,8,9,6]=>[[1,2,3,4,5,7,8],[6,9]]=>12
[9,7,4,5,6,1,2,3,8]=>[[1,4,5,9],[2,7,8],[3],[6]]=>12
[8,9,4,5,6,1,2,3,7]=>[[1,2,5,9],[3,4,8],[6,7]]=>15
[2,3,4,5,6,9,1,7,8]=>[[1,2,3,4,5,6,9],[7,8]]=>12
[2,3,4,5,6,8,1,9,7]=>[[1,2,3,4,5,6,8],[7,9]]=>13
[2,3,4,5,6,7,9,1,8]=>[[1,2,3,4,5,6,7],[8,9]]=>14
[2,9,4,5,6,7,8,1,3]=>[[1,2,4,5,6,7],[3,9],[8]]=>15
[2,3,4,5,6,7,8,9,1]=>[[1,2,3,4,5,6,7,8],[9]]=>8
[]=>[]=>0
[3,5,2,6,1,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>13
[3,5,2,6,4,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>14
[3,5,2,7,4,8,1,6]=>[[1,2,4,6],[3,5,8],[7]]=>15
[3,5,2,7,4,8,6,1]=>[[1,2,4,6],[3,5,7],[8]]=>16
[4,5,7,2,3,8,6,1]=>[[1,2,3,6],[4,5,7],[8]]=>17
[4,5,7,2,3,8,1,6]=>[[1,2,3,6],[4,5,8],[7]]=>16
[4,5,6,2,3,1,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>15
[4,5,6,2,1,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>14
[3,5,1,6,4,2,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>14
[4,5,6,1,3,2,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>15
[4,5,6,3,1,2,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>14
[4,5,7,3,2,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[4,5,7,3,2,8,6,1]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[4,6,7,3,8,2,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[4,6,7,3,8,2,1,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[4,6,7,3,8,1,2,5]=>[[1,2,3,5],[4,7,8],[6]]=>16
[4,5,7,3,1,8,2,6]=>[[1,2,3,6],[4,7,8],[5]]=>15
[4,5,7,1,3,8,2,6]=>[[1,2,3,6],[4,5,8],[7]]=>16
[3,5,1,7,4,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>15
[2,1,5,7,4,8,3,6]=>[[1,3,4,6],[2,5,8],[7]]=>12
[2,1,5,7,4,8,6,3]=>[[1,3,4,6],[2,5,7],[8]]=>13
[3,5,1,7,4,8,6,2]=>[[1,2,4,6],[3,5,7],[8]]=>16
[4,5,7,1,3,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>17
[4,5,7,3,1,8,6,2]=>[[1,2,3,6],[4,7],[5,8]]=>16
[4,6,7,3,8,1,5,2]=>[[1,2,3,5],[4,7],[6,8]]=>17
[4,6,7,3,8,5,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>19
[4,6,7,3,8,5,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[5,6,7,8,3,1,4,2]=>[[1,2,3,4],[5,7],[6,8]]=>18
[5,6,7,8,1,3,4,2]=>[[1,2,3,4],[5,6,7],[8]]=>19
[4,6,7,1,8,3,5,2]=>[[1,2,3,5],[4,6,7],[8]]=>18
[3,6,1,7,8,4,5,2]=>[[1,2,4,5],[3,6,7],[8]]=>17
[2,1,6,7,8,4,5,3]=>[[1,3,4,5],[2,6,7],[8]]=>14
[2,1,6,7,8,4,3,5]=>[[1,3,4,5],[2,6,8],[7]]=>13
[3,6,1,7,8,4,2,5]=>[[1,2,4,5],[3,6,8],[7]]=>16
[4,6,7,1,8,3,2,5]=>[[1,2,3,5],[4,6,8],[7]]=>17
[5,6,7,8,1,3,2,4]=>[[1,2,3,4],[5,6,8],[7]]=>18
[4,5,7,2,1,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>15
[4,6,7,2,8,1,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>16
[4,6,7,2,8,3,1,5]=>[[1,2,3,5],[4,6,8],[7]]=>17
[4,6,7,2,8,3,5,1]=>[[1,2,3,5],[4,6,7],[8]]=>18
[3,6,2,7,8,4,5,1]=>[[1,2,4,5],[3,6,7],[8]]=>17
[3,6,2,7,8,4,1,5]=>[[1,2,4,5],[3,6,8],[7]]=>16
[3,6,2,7,8,1,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>15
[3,5,2,7,1,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>14
[3,4,2,1,7,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>13
[3,4,1,2,7,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>13
[3,5,2,7,1,8,6,4]=>[[1,2,4,6],[3,7],[5,8]]=>15
[3,6,2,7,8,1,5,4]=>[[1,2,4,5],[3,7],[6,8]]=>16
[3,6,2,7,8,5,1,4]=>[[1,2,4,5],[3,6],[7,8]]=>18
[3,6,2,7,8,5,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[4,6,7,2,8,5,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[4,6,7,2,8,5,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>19
[4,6,7,2,8,1,5,3]=>[[1,2,3,5],[4,7],[6,8]]=>17
[4,5,7,2,1,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>16
[4,5,7,1,2,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>17
[3,5,1,7,2,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>16
[2,1,5,7,3,8,6,4]=>[[1,3,4,6],[2,5,7],[8]]=>13
[2,1,6,7,8,3,5,4]=>[[1,3,4,5],[2,6,7],[8]]=>14
[3,6,1,7,8,2,5,4]=>[[1,2,4,5],[3,6,7],[8]]=>17
[4,6,7,1,8,2,5,3]=>[[1,2,3,5],[4,6,7],[8]]=>18
[5,6,7,8,1,2,4,3]=>[[1,2,3,4],[5,6,7],[8]]=>19
[5,6,7,8,2,1,4,3]=>[[1,2,3,4],[5,7],[6,8]]=>18
[5,6,7,8,2,4,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>20
[5,6,7,8,2,4,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[5,6,7,8,1,4,2,3]=>[[1,2,3,4],[5,6,8],[7]]=>18
[4,6,7,1,8,5,2,3]=>[[1,2,3,5],[4,6,8],[7]]=>17
[3,6,1,7,8,5,2,4]=>[[1,2,4,5],[3,6,8],[7]]=>16
[2,1,6,7,8,5,3,4]=>[[1,3,4,5],[2,6,8],[7]]=>13
[3,6,1,7,8,5,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[4,6,7,1,8,5,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[5,6,7,8,1,4,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[5,6,7,8,4,1,3,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[3,5,2,7,4,9,6,10,8,1]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>23
[4,6,8,3,9,5,10,7,2,1]=>[[1,2,3,5,7],[4,6,8],[9],[10]]=>29
[5,7,8,9,4,10,6,3,2,1]=>[[1,2,3,4,6],[5,7],[8],[9],[10]]=>33
[6,7,8,9,10,1,4,5,3,2]=>[[1,2,3,4,5],[6,7,8],[9],[10]]=>32
[6,7,8,9,10,1,4,5,2,3]=>[[1,2,3,4,5],[6,7,8],[9,10]]=>31
[6,7,8,9,10,1,3,4,5,2]=>[[1,2,3,4,5],[6,7,8,9],[10]]=>29
[6,7,8,9,10,1,5,4,3,2]=>[[1,2,3,4,5],[6,7],[8],[9],[10]]=>34
[6,7,8,9,10,5,4,3,2,1]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>35
[6,5,8,7,3,4,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>22
[3,6,7,4,5,8,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>18
[2,6,7,4,5,1,8,3]=>[[1,2,3,7],[4,5],[6,8]]=>17
[1,6,7,4,5,2,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>16
[1,5,4,7,6,2,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>15
[2,5,4,7,6,1,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>16
[3,5,4,7,6,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>17
[4,5,3,7,8,6,1,2]=>[[1,2,4,5],[3,6],[7,8]]=>18
[5,4,3,8,7,6,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>18
[6,4,8,3,7,5,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>19
[6,3,8,4,5,7,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>14
[5,3,4,8,6,7,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>15
[4,3,5,6,8,7,1,2]=>[[1,3,4,5],[2,6],[7,8]]=>16
[3,2,5,6,1,8,7,4]=>[[1,3,4,6],[2,7],[5,8]]=>12
[4,2,5,6,8,1,7,3]=>[[1,3,4,5],[2,7],[6,8]]=>13
[5,2,4,8,6,1,7,3]=>[[1,3,4,7],[2,5],[6,8]]=>14
[6,2,8,4,5,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>13
[7,8,2,4,5,1,6,3]=>[[1,2,5,7],[3,4],[6,8]]=>15
[7,8,1,4,5,2,3,6]=>[[1,2,5,8],[3,4],[6,7]]=>14
[6,1,8,4,5,2,3,7]=>[[1,3,5,8],[2,4],[6,7]]=>12
[5,1,4,8,6,2,3,7]=>[[1,3,4,8],[2,5],[6,7]]=>13
[4,1,3,2,8,6,5,7]=>[[1,3,5,8],[2,6],[4,7]]=>9
[5,1,3,8,2,6,4,7]=>[[1,3,4,8],[2,6],[5,7]]=>10
[6,1,8,3,2,5,4,7]=>[[1,3,6,8],[2,4],[5,7]]=>11
[7,8,1,3,2,5,4,6]=>[[1,2,6,8],[3,4],[5,7]]=>13
[7,8,2,3,1,5,6,4]=>[[1,2,6,7],[3,4],[5,8]]=>14
[6,2,8,3,1,5,7,4]=>[[1,3,6,7],[2,4],[5,8]]=>12
[5,2,3,8,1,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>11
[6,3,8,2,1,7,5,4]=>[[1,3],[2,6],[4,7],[5,8]]=>14
[7,8,3,2,1,6,5,4]=>[[1,2],[3,6],[4,7],[5,8]]=>18
[7,8,4,2,6,1,5,3]=>[[1,2],[3,5],[4,7],[6,8]]=>19
[5,4,2,8,7,1,6,3]=>[[1,4],[2,5],[3,7],[6,8]]=>14
[4,5,2,7,8,1,6,3]=>[[1,2,4,5],[3,7],[6,8]]=>16
[2,5,3,7,1,6,8,4]=>[[1,2,4,7],[3,6],[5,8]]=>14
[1,5,3,7,2,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>13
[1,6,7,3,2,5,4,8]=>[[1,2,3,8],[4,6],[5,7]]=>14
[2,6,7,3,1,5,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>15
[3,6,7,2,1,8,5,4]=>[[1,2,3,6],[4,7],[5,8]]=>16
[7,8,5,6,2,1,4,3]=>[[1,2],[3,4],[5,7],[6,8]]=>22
[6,5,8,7,1,2,3,4]=>[[1,3,7,8],[2,4],[5,6]]=>10
[5,4,1,8,7,2,3,6]=>[[1,4,7,8],[2,5],[3,6]]=>6
[6,4,8,1,7,2,3,5]=>[[1,3,7,8],[2,5],[4,6]]=>7
[7,8,3,1,2,6,4,5]=>[[1,2,6,8],[3,5],[4,7]]=>11
[5,3,1,8,2,7,4,6]=>[[1,4,6,8],[2,5],[3,7]]=>7
[4,3,1,2,8,7,5,6]=>[[1,4,5,8],[2,6],[3,7]]=>8
[4,2,1,3,8,5,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>9
[5,2,1,8,3,4,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>8
[6,2,8,1,3,4,7,5]=>[[1,3,6,7],[2,5],[4,8]]=>9
[7,8,2,1,3,4,6,5]=>[[1,2,6,7],[3,5],[4,8]]=>12
[4,3,1,2,6,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>8
[5,3,1,6,2,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>6
[6,3,1,5,2,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>6
[7,3,1,5,2,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>5
[8,4,5,1,2,7,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>6
[7,4,5,1,2,8,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>6
[6,4,5,1,2,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>7
[5,4,6,1,2,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>7
[2,1,6,5,3,4,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>8
[3,6,1,5,2,4,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>10
[4,6,5,1,2,3,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>9
[5,6,4,1,2,3,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>9
[6,5,4,1,2,3,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[7,5,4,1,2,8,3,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[8,6,4,1,7,2,3,5]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[7,6,4,1,8,2,3,5]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[6,7,4,1,8,2,3,5]=>[[1,2,5,8],[3,6,7],[4]]=>11
[5,7,4,1,2,8,3,6]=>[[1,2,6,8],[3,5,7],[4]]=>8
[4,7,5,1,2,8,3,6]=>[[1,2,6,8],[3,5,7],[4]]=>8
[3,7,1,5,2,8,4,6]=>[[1,2,6,8],[3,4,7],[5]]=>9
[2,1,7,5,3,8,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>7
[2,1,8,5,3,7,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>7
[3,8,1,5,2,7,4,6]=>[[1,2,6,8],[3,4,7],[5]]=>9
[4,8,5,1,2,7,3,6]=>[[1,2,6,8],[3,5,7],[4]]=>8
[5,8,4,1,2,7,3,6]=>[[1,2,6,8],[3,5],[4,7]]=>11
[6,8,4,1,7,2,3,5]=>[[1,2,7,8],[3,5],[4,6]]=>10
[8,7,4,1,6,2,3,5]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[5,8,6,7,1,2,3,4]=>[[1,2,4,8],[3,6,7],[5]]=>12
[4,8,6,1,7,2,3,5]=>[[1,2,5,8],[3,6,7],[4]]=>11
[3,8,1,6,7,2,4,5]=>[[1,2,5,8],[3,4,7],[6]]=>10
[2,1,8,6,7,3,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>8
[2,1,7,6,8,3,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>8
[3,7,1,6,8,2,4,5]=>[[1,2,5,8],[3,4,7],[6]]=>10
[4,7,6,1,8,2,3,5]=>[[1,2,5,8],[3,6,7],[4]]=>11
[5,7,6,8,1,2,3,4]=>[[1,2,4,8],[3,6,7],[5]]=>12
[5,4,7,1,2,8,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>6
[6,4,7,1,8,2,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>8
[7,4,6,1,8,2,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>8
[8,4,6,1,7,2,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>8
[8,3,1,6,7,2,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>7
[7,3,1,6,8,2,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>7
[6,3,1,7,8,2,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>7
[5,3,1,7,2,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>5
[4,3,1,2,7,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>9
[2,1,4,3,8,7,5,6]=>[[1,3,5,8],[2,4,6],[7]]=>9
[3,4,1,2,8,7,5,6]=>[[1,2,5,8],[3,4,6],[7]]=>11
[6,3,1,8,7,2,4,5]=>[[1,4,7,8],[2,5],[3,6]]=>6
[7,3,1,8,6,2,4,5]=>[[1,4,7,8],[2,5],[3,6]]=>6
[8,4,7,1,6,2,3,5]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[7,4,8,1,6,2,3,5]=>[[1,3,7,8],[2,5],[4,6]]=>7
[5,4,8,1,2,7,3,6]=>[[1,3,6,8],[2,5],[4,7]]=>8
[4,5,8,1,2,7,3,6]=>[[1,2,3,8],[4,5,6],[7]]=>15
[3,5,1,8,2,7,4,6]=>[[1,2,4,8],[3,5,6],[7]]=>14
[2,1,5,8,3,7,4,6]=>[[1,3,4,8],[2,5,6],[7]]=>11
[2,1,6,8,7,3,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>10
[3,6,1,8,7,2,4,5]=>[[1,2,4,8],[3,5,7],[6]]=>13
[4,6,8,1,7,2,3,5]=>[[1,2,3,8],[4,5,7],[6]]=>14
[5,6,8,7,1,2,3,4]=>[[1,2,3,8],[4,6,7],[5]]=>13
[7,5,8,6,1,2,3,4]=>[[1,3,7,8],[2,4],[5,6]]=>10
[8,5,7,6,1,2,3,4]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[5,7,8,6,1,2,3,4]=>[[1,2,3,8],[4,6,7],[5]]=>13
[4,7,8,1,6,2,3,5]=>[[1,2,3,8],[4,5,7],[6]]=>14
[3,7,1,8,6,2,4,5]=>[[1,2,4,8],[3,5,7],[6]]=>13
[2,1,7,8,6,3,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>10
[2,1,8,7,6,3,4,5]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[3,8,1,7,6,2,4,5]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[4,8,7,1,6,2,3,5]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[5,8,7,6,1,2,3,4]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[6,8,7,5,1,2,3,4]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[6,4,7,3,8,5,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[6,4,7,3,5,8,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[6,4,7,2,5,1,8,3]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[5,4,2,7,6,1,3,8]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[5,4,2,7,6,1,8,3]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[5,4,3,7,6,8,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[5,4,3,7,8,6,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[6,4,8,3,5,7,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[5,4,3,8,6,7,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[5,4,3,6,8,7,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[5,4,2,6,7,1,8,3]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[5,4,2,6,7,1,3,8]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[5,3,2,6,1,7,4,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[5,3,2,6,1,7,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[5,3,2,6,1,8,7,4]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[5,4,2,6,8,1,7,3]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[5,4,2,8,6,1,7,3]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[6,4,8,2,5,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[7,8,4,2,5,1,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[7,8,4,2,5,1,3,6]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[5,4,2,8,6,1,3,7]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[5,3,2,6,1,8,4,7]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[4,3,2,1,6,8,5,7]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[4,3,2,1,8,6,5,7]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[5,3,2,8,1,6,4,7]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[6,3,8,2,1,5,4,7]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[7,8,3,2,1,5,4,6]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[7,8,3,2,1,5,6,4]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[6,3,8,2,1,5,7,4]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[5,3,2,8,1,6,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[5,4,2,7,8,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[5,3,2,7,1,8,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[5,3,2,7,1,6,8,4]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[5,3,2,7,1,6,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[6,3,7,2,1,5,4,8]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[6,3,7,2,1,5,8,4]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[6,3,7,2,1,8,5,4]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[6,4,7,2,8,1,5,3]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[6,5,7,8,2,1,4,3]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[6,5,8,7,2,1,3,4]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[6,3,7,2,1,8,4,5]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[6,3,7,2,1,4,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[6,3,7,2,1,4,5,8]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[5,3,2,7,1,4,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[5,4,2,8,7,1,3,6]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[7,8,4,2,6,1,3,5]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[7,8,3,2,1,6,4,5]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[6,3,8,2,1,7,4,5]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[5,3,2,8,1,7,4,6]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[4,3,2,1,8,7,5,6]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[4,3,2,1,7,5,8,6]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[4,3,2,1,7,5,6,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[4,3,2,1,8,5,7,6]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[5,3,2,8,1,4,7,6]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[6,3,8,2,1,4,7,5]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[7,8,3,2,1,4,6,5]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[6,3,8,2,1,4,5,7]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[4,3,2,1,8,5,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[4,3,2,1,5,8,6,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[7,8,5,6,1,2,4,3]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[7,8,4,1,6,2,5,3]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[7,8,1,4,6,2,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[6,1,8,4,7,2,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[1,6,8,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[1,6,8,3,2,7,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[6,1,8,3,2,7,5,4]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[7,8,1,3,2,6,5,4]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[7,8,3,1,2,6,5,4]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[7,8,3,4,6,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[7,8,2,4,6,1,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[7,8,2,3,1,6,5,4]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[7,8,2,1,3,6,5,4]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[7,8,1,2,3,6,5,4]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[6,1,8,2,3,7,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[1,6,8,2,3,7,5,4]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[1,5,2,8,3,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[5,1,2,8,3,7,6,4]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[5,2,1,8,3,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[6,2,8,1,3,7,5,4]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[6,2,8,3,1,7,5,4]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[6,2,8,4,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[6,3,8,4,7,5,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[3,6,8,4,7,5,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[2,6,8,4,7,1,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[2,6,8,3,1,7,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[2,6,8,1,3,7,5,4]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[2,5,1,8,3,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[1,2,5,8,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[2,4,1,3,8,7,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[2,5,3,8,1,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[2,5,4,8,7,1,6,3]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[3,5,4,8,7,6,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[5,3,4,8,7,6,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[5,2,4,8,7,1,6,3]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[5,2,3,8,1,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[4,2,1,3,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[4,1,2,3,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[1,4,2,3,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[4,1,3,2,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[4,3,1,2,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[6,3,8,1,2,7,5,4]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[5,3,1,8,2,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[5,1,3,8,2,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[1,5,3,8,2,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[1,5,4,8,7,2,6,3]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[5,1,4,8,7,2,6,3]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[5,4,1,8,7,2,6,3]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[6,4,8,1,7,2,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[6,5,8,7,1,2,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[5,6,8,7,3,4,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[5,6,8,7,2,1,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[4,5,1,8,7,2,6,3]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[4,1,5,8,7,2,6,3]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[1,4,5,8,7,2,6,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[1,3,5,8,2,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[3,1,5,8,2,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[3,6,8,1,2,7,5,4]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[3,6,8,2,1,7,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[4,6,8,2,7,1,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[4,6,8,3,7,5,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[4,5,3,8,7,6,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[4,5,2,8,7,1,6,3]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[3,5,2,8,1,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[3,1,4,2,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[3,1,2,4,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[3,2,5,8,1,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[4,2,5,8,7,1,6,3]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[4,3,5,8,7,6,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[3,4,5,8,7,6,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[2,4,5,8,7,1,6,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[2,3,5,8,1,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[4,1,3,2,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>9
[5,1,3,2,6,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>9
[6,1,3,2,5,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>9
[7,1,3,2,5,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[8,1,3,2,5,4,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[8,1,4,2,5,3,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[7,1,4,2,5,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[6,1,4,2,5,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>9
[5,1,4,2,6,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>9
[2,1,6,3,5,4,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>9
[3,1,6,2,5,4,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>9
[4,1,6,2,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>9
[6,2,5,1,4,3,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[5,2,6,1,4,3,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>8
[5,2,7,1,4,3,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>8
[5,2,8,1,4,3,7,6]=>[[1,3,7],[2,5,8],[4,6]]=>8
[6,2,8,1,4,3,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>8
[6,2,7,1,4,3,8,5]=>[[1,3,7],[2,5,8],[4,6]]=>8
[7,2,6,1,4,3,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[7,2,5,1,4,3,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[4,1,7,2,5,3,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>9
[3,1,7,2,5,4,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>9
[2,1,7,3,5,4,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>9
[2,1,8,3,5,4,7,6]=>[[1,3,5,7],[2,4,8],[6]]=>9
[3,1,8,2,5,4,7,6]=>[[1,3,5,7],[2,4,8],[6]]=>9
[4,1,8,2,5,3,7,6]=>[[1,3,5,7],[2,4,8],[6]]=>9
[8,2,5,1,4,3,7,6]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[8,2,6,1,4,3,7,5]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[7,1,4,3,8,2,6,5]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[8,1,4,3,7,2,6,5]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[8,1,5,3,7,2,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[7,1,5,3,8,2,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[8,2,6,1,5,3,7,4]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[5,1,8,2,6,3,7,4]=>[[1,3,5,7],[2,4,8],[6]]=>9
[4,1,8,2,6,3,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>9
[3,1,8,2,6,4,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>9
[2,1,8,3,6,4,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>9
[2,1,7,3,6,4,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>9
[4,1,7,2,6,3,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>9
[5,1,7,2,6,3,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>9
[7,2,6,1,5,3,8,4]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[6,2,7,1,5,3,8,4]=>[[1,3,7],[2,5,8],[4,6]]=>8
[6,2,8,1,5,3,7,4]=>[[1,3,7],[2,5,8],[4,6]]=>8
[8,1,5,2,6,3,7,4]=>[[1,3,5,7],[2,6,8],[4]]=>9
[6,1,5,2,7,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>9
[6,1,4,2,7,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>9
[8,1,4,2,6,3,7,5]=>[[1,3,5,7],[2,6,8],[4]]=>9
[8,1,3,2,6,4,7,5]=>[[1,3,5,7],[2,6,8],[4]]=>9
[7,1,3,2,6,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>9
[6,1,3,2,7,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>9
[5,1,3,2,7,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[4,1,3,2,7,5,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[2,1,4,3,8,5,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>10
[3,1,4,2,8,5,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>10
[4,1,3,2,8,5,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>10
[5,1,3,2,8,4,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>10
[6,1,3,2,8,4,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>10
[8,4,7,1,3,2,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[7,4,8,1,3,2,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[7,3,8,1,4,2,6,5]=>[[1,3,7],[2,5,8],[4,6]]=>8
[8,3,7,1,4,2,6,5]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[6,1,4,2,8,3,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>10
[5,1,4,2,8,3,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>10
[4,1,5,2,8,3,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>10
[3,1,5,2,8,4,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>10
[2,1,5,3,8,4,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>10
[2,1,6,3,8,4,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>10
[3,1,6,2,8,4,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>10
[4,1,6,2,8,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>10
[5,1,6,2,8,3,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>10
[6,1,5,2,8,3,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>10
[8,3,7,1,5,2,6,4]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[7,3,8,1,5,2,6,4]=>[[1,3,7],[2,5,8],[4,6]]=>8
[6,2,7,3,8,1,5,4]=>[[1,3,5],[2,4,7],[6,8]]=>14
[6,2,8,3,7,1,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[8,3,7,2,6,1,5,4]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[5,1,8,3,7,2,6,4]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[4,1,8,3,7,2,6,5]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[3,1,8,4,7,2,6,5]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[2,1,8,4,7,3,6,5]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[2,1,7,4,8,3,6,5]=>[[1,3,5],[2,4,7],[6,8]]=>14
[3,1,7,4,8,2,6,5]=>[[1,3,5],[2,4,7],[6,8]]=>14
[4,1,7,3,8,2,6,5]=>[[1,3,5],[2,4,7],[6,8]]=>14
[5,1,7,3,8,2,6,4]=>[[1,3,5],[2,4,7],[6,8]]=>14
[7,3,8,2,6,1,5,4]=>[[1,3],[2,5],[4,7],[6,8]]=>15
[8,2,6,3,7,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[7,2,6,3,8,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[3,4,2,6,8,1,5,7]=>[[1,2,4,5],[3,7,8],[6]]=>15
[5,3,6,2,8,1,4,7]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[5,3,6,2,4,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[5,7,3,8,2,4,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[5,7,3,8,2,4,6,1]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[7,4,2,5,8,3,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[7,4,2,5,8,3,1,6]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[4,5,2,6,3,8,1,7]=>[[1,2,4,6],[3,5,8],[7]]=>15
[4,5,2,1,6,8,3,7]=>[[1,2,5,6],[3,7,8],[4]]=>13
[5,3,1,6,8,2,4,7]=>[[1,4,5,8],[2,6,7],[3]]=>7
[5,6,2,8,1,3,4,7]=>[[1,2,4,8],[3,6,7],[5]]=>12
[3,5,6,1,4,8,2,7]=>[[1,2,3,6],[4,5,8],[7]]=>16
[4,1,5,6,3,8,2,7]=>[[1,3,4,6],[2,5,8],[7]]=>12
[4,5,1,6,3,8,2,7]=>[[1,2,4,6],[3,5,8],[7]]=>15
[4,5,6,3,2,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[7,4,5,3,8,2,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[7,4,5,3,8,2,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[6,7,4,8,3,2,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[6,7,4,8,3,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[6,7,4,1,8,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[7,4,5,3,1,8,2,6]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[4,7,1,5,8,3,2,6]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[5,3,7,8,1,4,2,6]=>[[1,3,4],[2,6,8],[5,7]]=>12
[7,5,8,2,4,6,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[7,3,5,8,1,4,6,2]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[4,5,1,7,8,3,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>17
[7,4,1,5,8,3,6,2]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[6,7,4,3,8,1,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[6,7,4,8,3,1,5,2]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[6,7,4,8,3,5,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[5,6,7,3,8,4,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[5,6,7,3,1,8,4,2]=>[[1,2,3,6],[4,7],[5,8]]=>16
[5,6,1,7,3,8,4,2]=>[[1,2,4,6],[3,5,7],[8]]=>16
[5,1,6,7,3,8,4,2]=>[[1,3,4,6],[2,5,7],[8]]=>13
[6,4,7,1,8,3,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[6,7,8,3,1,4,5,2]=>[[1,2,3],[4,6,7],[5,8]]=>18
[6,7,2,8,4,5,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>20
[6,7,2,8,4,1,3,5]=>[[1,2,4],[3,5,8],[6,7]]=>18
[6,1,7,4,8,3,2,5]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[5,1,6,7,3,2,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>11
[5,6,1,7,3,2,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>14
[5,6,7,3,2,1,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[5,6,7,3,2,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[5,6,2,7,3,8,4,1]=>[[1,2,4,6],[3,5,7],[8]]=>16
[5,6,2,7,3,1,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>14
[5,6,2,1,7,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>12
[6,1,7,4,2,8,3,5]=>[[1,3,6,8],[2,4,7],[5]]=>7
[6,7,2,1,8,3,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>11
[7,5,8,2,1,3,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[5,7,3,1,8,2,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>11
[4,7,1,5,2,8,3,6]=>[[1,2,6,8],[3,4,7],[5]]=>9
[7,4,2,5,1,8,3,6]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[6,7,4,2,1,8,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[6,7,4,2,8,3,1,5]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[6,7,4,2,8,3,5,1]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[3,6,7,2,8,4,5,1]=>[[1,2,3,5],[4,6,7],[8]]=>18
[3,6,7,2,8,4,1,5]=>[[1,2,3,5],[4,6,8],[7]]=>17
[3,6,7,2,1,8,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>15
[5,7,3,8,2,1,4,6]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[3,4,7,8,2,1,5,6]=>[[1,2,3,4],[5,7,8],[6]]=>17
[3,7,8,1,4,6,2,5]=>[[1,2,3],[4,5,6],[7,8]]=>21
[3,4,7,8,2,6,1,5]=>[[1,2,3,4],[5,6],[7,8]]=>20
[5,7,3,8,2,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[3,6,7,2,8,5,1,4]=>[[1,2,3,5],[4,6],[7,8]]=>19
[3,6,7,8,5,2,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[3,6,7,8,5,2,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[6,4,7,8,2,5,3,1]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[6,4,7,8,2,1,5,3]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[4,1,5,7,8,2,6,3]=>[[1,3,4,5],[2,6,7],[8]]=>14
[5,3,7,8,1,6,2,4]=>[[1,3,4],[2,6,8],[5,7]]=>12
[6,7,2,8,5,1,3,4]=>[[1,2,4],[3,5,8],[6,7]]=>18
[6,4,1,7,8,2,5,3]=>[[1,4,5],[2,6,7],[3,8]]=>11
[5,1,6,2,7,8,4,3]=>[[1,3,5,6],[2,4,7],[8]]=>11
[5,6,2,1,7,8,4,3]=>[[1,2,5,6],[3,7],[4,8]]=>14
[5,6,2,7,1,8,4,3]=>[[1,2,4,6],[3,7],[5,8]]=>15
[5,6,2,7,8,4,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[5,6,7,2,8,4,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[5,6,7,2,1,8,4,3]=>[[1,2,3,6],[4,7],[5,8]]=>16
[5,6,1,7,2,8,4,3]=>[[1,2,4,6],[3,5,7],[8]]=>16
[5,1,6,7,2,8,4,3]=>[[1,3,4,6],[2,5,7],[8]]=>13
[6,4,7,1,8,2,5,3]=>[[1,3,5],[2,6,7],[4,8]]=>12
[3,6,7,1,8,5,2,4]=>[[1,2,3,5],[4,6,8],[7]]=>17
[6,7,8,5,2,4,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[6,7,8,3,5,1,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[4,6,7,8,1,5,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[5,1,6,7,8,4,3,2]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[5,6,1,7,8,4,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[5,6,7,1,8,4,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[8,6,1,3,4,2,5,7]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[8,3,2,5,1,6,4,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[8,5,3,6,2,4,1,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[5,3,2,7,4,1,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[7,5,3,8,2,4,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[7,2,4,5,8,3,6,1]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[2,4,5,3,7,1,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>13
[8,2,4,5,6,3,1,7]=>[[1,3,4,5,8],[2],[6],[7]]=>12
[8,2,4,5,6,1,3,7]=>[[1,3,4,5,8],[2,7],[6]]=>9
[8,1,2,4,5,6,3,7]=>[[1,3,4,5,6,8],[2],[7]]=>7
[8,2,5,1,3,6,4,7]=>[[1,3,6,8],[2,5,7],[4]]=>6
[8,5,6,2,1,4,3,7]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[8,5,3,6,4,1,2,7]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[8,4,1,5,6,3,2,7]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[8,1,4,5,6,3,2,7]=>[[1,3,4,5,8],[2],[6],[7]]=>12
[4,5,3,7,2,1,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[7,4,5,8,3,2,6,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[4,3,6,7,2,8,5,1]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[4,3,6,7,2,8,1,5]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[1,4,3,6,7,2,8,5]=>[[1,2,4,5,7],[3,8],[6]]=>12
[4,5,3,7,1,8,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>14
[4,1,5,3,7,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>9
[5,3,4,7,1,2,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>10
[7,5,8,2,1,4,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[7,5,3,8,4,1,6,2]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[7,4,5,8,3,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[4,3,6,7,8,1,5,2]=>[[1,3,4,5],[2,7],[6,8]]=>13
[1,6,4,7,8,3,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[6,4,7,8,3,5,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[3,5,6,7,8,4,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>16
[3,1,5,6,7,8,4,2]=>[[1,3,4,5,6],[2,7],[8]]=>12
[4,6,1,7,8,3,5,2]=>[[1,2,4,5],[3,6,7],[8]]=>17
[3,6,7,1,4,8,5,2]=>[[1,2,3,6],[4,5,7],[8]]=>17
[6,2,4,1,7,8,5,3]=>[[1,3,5,6],[2,7],[4,8]]=>11
[2,6,7,1,4,8,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>16
[4,3,6,7,8,1,2,5]=>[[1,3,4,5],[2,7,8],[6]]=>12
[1,5,3,6,7,8,2,4]=>[[1,2,4,5,6],[3,8],[7]]=>13
[3,5,6,7,8,2,1,4]=>[[1,2,3,4,5],[6,8],[7]]=>16
[3,5,6,7,8,2,4,1]=>[[1,2,3,4,5],[6,7],[8]]=>17
[5,2,7,1,3,8,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>6
[5,3,1,7,8,2,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>7
[4,5,2,7,8,1,3,6]=>[[1,2,4,5],[3,7,8],[6]]=>15
[4,2,6,7,8,3,1,5]=>[[1,3,4,5],[2,6,8],[7]]=>13
[4,2,6,7,8,3,5,1]=>[[1,3,4,5],[2,6,7],[8]]=>14
[3,6,2,7,4,8,5,1]=>[[1,2,4,6],[3,5,7],[8]]=>16
[3,6,2,7,4,8,1,5]=>[[1,2,4,6],[3,5,8],[7]]=>15
[3,2,1,6,4,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>6
[3,7,4,2,1,5,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[1,7,3,4,2,5,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>11
[4,7,2,1,3,5,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>9
[7,8,4,2,1,3,6,5]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[7,8,1,3,4,2,6,5]=>[[1,2,5,7],[3,4],[6,8]]=>15
[7,8,3,4,2,1,6,5]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[6,3,2,7,1,8,5,4]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[3,6,2,7,1,8,5,4]=>[[1,2,4,6],[3,7],[5,8]]=>15
[6,7,3,8,2,5,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[6,4,7,8,5,2,3,1]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[2,6,4,7,8,1,5,3]=>[[1,2,4,5],[3,7],[6,8]]=>16
[4,6,2,7,8,1,5,3]=>[[1,2,4,5],[3,7],[6,8]]=>16
[7,4,5,8,6,2,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[7,4,1,5,8,6,2,3]=>[[1,4,5],[2,6,8],[3,7]]=>10
[7,5,3,8,6,1,2,4]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[7,5,8,2,1,6,3,4]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[6,2,7,1,3,8,5,4]=>[[1,3,6],[2,5,7],[4,8]]=>10
[6,3,1,7,8,2,5,4]=>[[1,4,5],[2,6,7],[3,8]]=>11
[4,6,1,7,8,5,2,3]=>[[1,2,4,5],[3,6,8],[7]]=>16
[5,1,2,6,7,8,4,3]=>[[1,3,4,5,6],[2,7],[8]]=>12
[5,2,6,7,8,4,1,3]=>[[1,3,4,5],[2,6],[7,8]]=>16
[5,2,6,7,8,4,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[2,5,6,7,8,4,1,3]=>[[1,2,3,4,5],[6,8],[7]]=>16
[1,5,2,6,7,8,4,3]=>[[1,2,4,5,6],[3,7],[8]]=>14
[1,6,4,7,8,5,2,3]=>[[1,2,4,5],[3,6],[7,8]]=>18
[2,6,7,1,3,8,5,4]=>[[1,2,3,6],[4,5,7],[8]]=>17
[6,7,8,2,1,5,4,3]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[6,7,3,8,5,1,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[6,4,7,8,5,3,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[4,5,2,3,7,6,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>11
[6,4,3,7,2,5,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[8,4,3,6,5,1,2,7]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[1,5,6,3,4,8,7,2]=>[[1,2,3,6],[4,5,7],[8]]=>17
[4,6,2,7,3,5,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>14
[3,2,6,7,4,5,1,8]=>[[1,3,4,8],[2,5,6],[7]]=>11
[4,7,2,6,5,3,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[5,7,6,2,4,3,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[1,7,5,4,8,3,6,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[8,7,5,4,1,3,2,6]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16
[6,8,5,4,2,1,3,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[5,8,6,2,4,1,3,7]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[4,8,2,6,5,1,3,7]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[3,2,8,6,5,1,4,7]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[4,1,2,6,5,8,7,3]=>[[1,3,4,6],[2,5,7],[8]]=>13
[5,1,6,2,4,8,7,3]=>[[1,3,5,6],[2,4,7],[8]]=>11
[6,1,5,4,2,8,7,3]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[7,1,5,4,8,2,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[8,1,5,4,7,6,2,3]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[1,8,6,7,4,5,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[8,1,6,7,4,5,2,3]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[7,1,6,8,4,2,5,3]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[6,1,7,8,2,4,5,3]=>[[1,3,4,7],[2,5,6],[8]]=>12
[5,1,7,2,8,4,6,3]=>[[1,3,5,7],[2,4,6],[8]]=>10
[4,1,2,7,8,5,6,3]=>[[1,3,4,5],[2,6,7],[8]]=>14
[3,2,1,7,8,5,6,4]=>[[1,4,5],[2,6,7],[3,8]]=>11
[3,2,8,7,1,5,4,6]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[4,8,2,7,1,5,3,6]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[5,8,7,2,1,4,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[6,8,7,1,2,4,3,5]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[7,8,6,1,4,2,3,5]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[8,7,6,1,4,3,2,5]=>[[1,5,8],[2],[3],[4],[6],[7]]=>17
[1,7,6,8,4,3,5,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[1,6,7,8,3,4,5,2]=>[[1,2,3,4],[5,6,7],[8]]=>19
[8,6,7,1,3,4,2,5]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[7,6,8,1,3,2,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[5,7,8,2,1,3,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>13
[4,7,2,8,1,3,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>12
[3,2,6,8,4,1,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>10
[4,6,2,8,3,1,5,7]=>[[1,2,4,8],[3,5,7],[6]]=>13
[5,6,8,2,3,1,4,7]=>[[1,2,3,8],[4,5,7],[6]]=>14
[6,5,8,3,2,1,4,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[7,5,8,3,1,2,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[8,5,7,3,1,4,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[1,5,7,3,8,4,6,2]=>[[1,2,3,5],[4,6,7],[8]]=>18
[1,4,3,7,8,5,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>17
[8,4,3,7,1,5,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[6,4,3,8,2,1,5,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[4,5,2,3,8,1,6,7]=>[[1,2,5,8],[3,4,7],[6]]=>10
[3,2,5,4,8,1,6,7]=>[[1,3,5,8],[2,4,7],[6]]=>8
[4,5,2,3,1,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>15
[6,4,3,1,2,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[7,4,3,1,8,2,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[8,4,3,1,7,6,2,5]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[1,5,8,3,7,6,4,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[8,5,1,3,7,6,2,4]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[7,5,1,3,8,2,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[6,5,1,3,2,8,7,4]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[5,6,1,2,3,8,7,4]=>[[1,2,5,6],[3,4,7],[8]]=>13
[4,6,2,1,3,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>13
[3,2,6,1,4,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>10
[3,2,7,1,8,4,6,5]=>[[1,3,5],[2,6,7],[4,8]]=>12
[4,7,2,1,8,3,6,5]=>[[1,2,5],[3,6,7],[4,8]]=>16
[5,7,1,2,8,3,6,4]=>[[1,2,5,7],[3,4,6],[8]]=>12
[6,7,1,8,2,3,5,4]=>[[1,2,4,7],[3,5,6],[8]]=>15
[7,6,1,8,3,2,5,4]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[8,6,1,7,3,5,2,4]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[1,6,8,7,3,5,4,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[1,7,8,6,5,3,4,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[8,7,1,6,5,3,2,4]=>[[1,4,8],[2],[3],[5],[6],[7]]=>18
[7,8,1,6,5,2,3,4]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[6,8,1,7,2,5,3,4]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[5,8,1,2,7,6,3,4]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[4,8,2,1,7,6,3,5]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[3,2,8,1,7,6,4,5]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[4,1,2,8,7,6,5,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[5,1,8,2,7,6,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[6,1,8,7,2,5,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[7,1,8,6,5,2,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[8,1,7,6,5,4,2,3]=>[[1,3,8],[2],[4],[5],[6],[7]]=>19
[3,1,2,6,5,8,7,4]=>[[1,3,4,6],[2,5,7],[8]]=>13
[3,1,6,2,4,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>11
[3,1,5,2,4,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>11
[4,5,1,2,3,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>13
[4,6,1,2,3,8,7,5]=>[[1,2,5,6],[3,4,7],[8]]=>13
[1,6,5,3,4,8,7,2]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[6,1,5,2,4,8,7,3]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[6,5,1,2,3,8,7,4]=>[[1,4,5,6],[2,7],[3,8]]=>10
[6,4,1,2,3,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>10
[5,4,1,2,3,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>10
[5,4,1,2,7,3,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>5
[6,4,1,7,2,3,5,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[6,4,1,8,2,3,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>4
[7,4,1,2,8,3,6,5]=>[[1,4,5,7],[2,6],[3,8]]=>9
[7,5,1,2,8,3,6,4]=>[[1,4,5,7],[2,6],[3,8]]=>9
[7,1,5,2,8,4,6,3]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[1,7,5,3,8,4,6,2]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[1,8,5,3,7,4,6,2]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[8,1,5,2,7,4,6,3]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[8,5,1,2,7,3,6,4]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[8,4,1,2,7,3,6,5]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[8,4,1,7,2,3,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>4
[7,4,1,6,2,3,5,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[8,6,1,7,2,3,5,4]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[8,1,6,7,2,4,5,3]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[1,8,6,7,3,4,5,2]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[1,7,6,8,3,4,5,2]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[7,1,6,8,2,4,5,3]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[7,6,1,8,2,3,5,4]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[4,7,1,2,8,3,6,5]=>[[1,2,5,7],[3,4,6],[8]]=>12
[3,1,7,2,8,4,6,5]=>[[1,3,5,7],[2,4,6],[8]]=>10
[3,1,2,7,8,5,6,4]=>[[1,3,4,5],[2,6,7],[8]]=>14
[1,4,3,8,7,5,6,2]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[4,1,2,8,7,5,6,3]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[3,1,2,8,7,5,6,4]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[3,1,8,2,7,4,6,5]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[3,1,8,7,2,4,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>6
[3,1,7,6,2,4,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[4,7,1,6,2,3,5,8]=>[[1,2,6,7,8],[3,4],[5]]=>8
[4,8,1,6,2,3,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>8
[4,8,1,7,2,3,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>8
[4,8,1,2,7,3,6,5]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[5,8,1,2,7,3,6,4]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[5,1,8,2,7,4,6,3]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[1,5,8,3,7,4,6,2]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[1,6,8,7,3,4,5,2]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[6,1,8,7,2,4,5,3]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[6,8,1,7,2,3,5,4]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[6,8,7,1,2,3,4,5]=>[[1,2,6,7,8],[3,5],[4]]=>7
[5,8,7,1,2,3,4,6]=>[[1,2,6,7,8],[3,5],[4]]=>7
[5,8,6,1,2,3,4,7]=>[[1,2,6,7,8],[3,5],[4]]=>7
[5,7,6,1,2,3,4,8]=>[[1,2,6,7,8],[3,5],[4]]=>7
[7,8,1,6,2,3,5,4]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[7,1,8,6,2,4,5,3]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[1,7,8,6,3,4,5,2]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[1,8,7,6,3,4,5,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>16
[8,1,7,6,2,4,5,3]=>[[1,3,6,7],[2],[4],[5],[8]]=>15
[8,7,1,6,2,3,5,4]=>[[1,4,6,7],[2],[3],[5],[8]]=>14
[3,2,5,1,6,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>9
[3,2,5,4,7,1,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>9
[4,2,5,3,7,6,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>10
[4,2,5,3,7,1,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>9
[4,2,5,3,6,1,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>9
[4,2,5,1,6,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>9
[3,1,5,4,6,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>9
[4,1,5,3,6,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>9
[4,3,5,1,6,2,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>9
[4,3,5,2,7,1,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[4,3,6,2,7,5,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[4,3,6,2,7,1,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[4,3,6,1,7,2,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>9
[4,3,5,1,7,2,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[3,1,5,4,7,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>9
[2,1,5,4,7,3,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>9
[3,1,5,4,7,6,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>10
[4,1,5,3,7,6,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>10
[4,3,5,1,7,6,8,2]=>[[1,3,5,7],[2,6],[4,8]]=>10
[4,3,6,1,7,5,8,2]=>[[1,3,5,7],[2,6],[4,8]]=>10
[4,3,6,5,7,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>13
[5,3,6,4,7,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[5,3,6,4,7,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>13
[5,3,6,1,7,4,8,2]=>[[1,3,5,7],[2,6],[4,8]]=>10
[5,1,6,3,7,4,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>10
[4,1,6,3,7,5,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>10
[3,1,6,4,7,5,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>10
[2,1,6,4,7,5,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>10
[2,1,6,4,7,3,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>9
[3,1,6,4,7,2,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>9
[4,1,6,3,7,2,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>9
[5,1,6,3,7,2,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>9
[5,3,6,1,7,2,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>9
[5,3,6,2,7,1,8,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[5,3,6,2,7,4,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[5,2,6,3,7,4,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>10
[5,2,6,3,7,1,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>9
[5,2,6,1,7,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>9
[4,2,5,1,7,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[4,2,6,1,7,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>9
[4,2,6,3,7,1,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>9
[4,2,6,3,7,5,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>10
[3,2,6,4,7,5,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>10
[3,2,6,4,7,1,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>9
[3,2,6,1,7,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>9
[3,2,5,1,7,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[3,2,4,1,7,5,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[3,1,4,2,7,6,8,5]=>[[1,3,5,7],[2,4,6],[8]]=>10
[3,2,5,1,7,6,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>10
[3,2,6,1,7,5,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>10
[3,2,6,5,7,1,8,4]=>[[1,3,5,7],[2,4],[6,8]]=>13
[4,2,6,5,7,3,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[4,2,6,5,7,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>13
[4,2,6,1,7,5,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>10
[4,2,5,1,7,6,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>10
[4,1,5,2,7,6,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>10
[3,1,5,2,7,6,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>10
[2,1,5,3,7,6,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>10
[2,1,6,3,7,5,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>10
[3,1,6,2,7,5,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>10
[4,1,6,2,7,5,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>10
[5,1,6,2,7,4,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>10
[5,2,6,1,7,4,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>10
[5,2,6,4,7,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>13
[5,2,6,4,7,3,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[5,4,6,2,7,3,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[5,4,6,2,7,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[5,4,6,1,7,2,8,3]=>[[1,3,5,7],[2,6,8],[4]]=>9
[5,1,6,4,7,2,8,3]=>[[1,3,5,7],[2,4,8],[6]]=>9
[4,1,6,5,7,2,8,3]=>[[1,3,5,7],[2,4,8],[6]]=>9
[3,1,6,5,7,2,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>9
[2,1,6,5,7,3,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>9
[3,1,6,5,7,4,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[4,1,6,5,7,3,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[5,1,6,4,7,3,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[5,4,6,1,7,3,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[5,4,6,3,7,1,8,2]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,3,5,2,1,6,4,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[8,6,3,5,2,4,1,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[3,7,5,2,4,1,8,6]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[8,3,7,5,2,4,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[8,2,4,5,7,3,6,1]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[2,4,5,7,3,1,8,6]=>[[1,2,3,4,7],[5,8],[6]]=>14
[8,2,4,6,5,3,1,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[8,2,5,4,6,1,3,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[8,6,3,5,1,4,2,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[8,6,1,4,5,3,2,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[8,1,5,6,4,3,2,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[5,7,4,3,2,1,8,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[8,5,7,4,3,2,6,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>21
[4,6,8,3,2,7,5,1]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[4,7,6,3,2,8,1,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[1,4,6,7,3,2,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>14
[5,4,7,3,1,8,2,6]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[1,7,4,5,3,2,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[3,7,5,1,4,2,8,6]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[5,7,4,2,1,3,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[8,5,7,4,2,1,6,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[8,3,7,5,1,4,6,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[8,4,1,7,5,3,6,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[4,6,3,8,7,1,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[1,7,4,8,6,3,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[8,4,7,6,3,5,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>22
[3,6,5,8,7,4,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[3,1,5,8,6,7,4,2]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[4,8,1,6,7,3,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[3,6,4,1,8,7,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[8,2,6,1,4,7,5,3]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[2,7,6,8,1,4,3,5]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[3,7,1,6,4,8,2,5]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[1,7,3,5,6,8,2,4]=>[[1,2,4,5,6],[3,8],[7]]=>13
[1,3,6,7,5,8,2,4]=>[[1,2,3,4,6],[5,8],[7]]=>15
[3,7,6,5,8,2,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[3,6,8,5,7,2,4,1]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[2,3,5,7,6,8,1,4]=>[[1,2,3,4,6],[5,8],[7]]=>15
[2,1,6,5,7,8,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>10
[4,2,7,6,8,3,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[4,2,6,8,7,3,5,1]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[3,8,2,4,6,7,5,1]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[3,7,2,6,4,8,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[3,2,6,1,4,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>7
[5,3,7,2,1,8,4,6]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[4,7,3,2,1,5,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[8,7,6,1,3,4,2,5]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[8,5,7,3,2,1,6,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[8,3,6,7,2,1,5,4]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[3,7,8,6,2,1,5,4]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[8,7,6,3,5,2,4,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[2,7,4,8,1,6,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[4,6,8,2,1,7,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[8,4,1,5,7,2,6,3]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[8,5,3,7,1,6,2,4]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[8,5,7,2,1,3,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[8,2,6,7,1,3,5,4]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[8,3,6,1,7,5,2,4]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[4,6,1,8,7,2,5,3]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[8,1,2,5,6,7,4,3]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[8,2,6,5,7,4,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[2,1,7,8,5,6,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[8,2,5,7,6,4,3,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23
[2,7,6,8,5,4,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[1,7,2,5,8,6,4,3]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[1,7,4,8,2,6,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[3,7,8,1,6,5,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[2,7,8,6,1,3,5,4]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[8,7,6,3,5,1,4,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[8,4,7,6,5,1,3,2]=>[[1,3],[2,7],[4],[5],[6],[8]]=>21
[8,7,1,5,6,4,3,2]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21
[8,1,6,7,5,4,3,2]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23
[6,5,3,1,2,4,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[4,6,3,5,1,2,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>13
[8,5,3,7,2,1,4,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[6,8,1,4,5,7,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[8,7,2,4,5,1,3,6]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[3,6,2,4,5,1,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>11
[2,6,1,4,5,3,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>11
[6,1,2,4,5,3,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>10
[5,6,3,2,1,4,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[5,4,3,6,1,2,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[6,3,1,4,5,2,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>8
[3,1,6,4,5,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>9
[8,3,7,4,5,1,2,6]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[5,8,7,4,2,6,3,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[2,8,7,4,1,6,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[8,1,7,4,2,6,3,5]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[3,7,8,4,5,1,2,6]=>[[1,2,3,8],[4,5],[6,7]]=>16
[2,1,8,7,5,3,4,6]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[2,1,6,8,5,7,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>17
[5,6,3,8,1,7,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>16
[7,6,1,4,5,8,3,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[3,7,6,4,5,8,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[8,5,7,4,1,6,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>18
[5,1,8,4,7,6,2,3]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[2,5,8,4,7,6,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[2,4,8,3,5,6,7,1]=>[[1,2,3,6,7],[4,5],[8]]=>13
[4,1,8,3,5,6,7,2]=>[[1,3,5,6,7],[2,4],[8]]=>9
[3,8,4,2,5,6,7,1]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[8,4,1,3,5,6,7,2]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[7,5,8,4,3,6,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>17
[6,5,3,8,4,1,7,2]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[2,1,5,8,4,6,7,3]=>[[1,3,4,7],[2,5,6],[8]]=>12
[2,1,4,8,3,6,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>12
[6,4,3,8,2,1,7,5]=>[[1,4],[2,7],[3,8],[5],[6]]=>15
[7,3,8,4,2,6,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[8,3,1,2,5,6,7,4]=>[[1,4,5,6,7],[2,8],[3]]=>7
[3,1,8,2,5,6,7,4]=>[[1,3,5,6,7],[2,4],[8]]=>9
[2,3,8,1,5,6,7,4]=>[[1,2,3,6,7],[4,5],[8]]=>13
[4,3,8,2,5,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[4,8,2,3,5,6,7,1]=>[[1,2,5,6,7],[3,4],[8]]=>11
[3,8,2,1,5,6,7,4]=>[[1,2,6,7],[3,5],[4,8]]=>12
[2,8,1,3,5,6,7,4]=>[[1,2,5,6,7],[3,4],[8]]=>11
[8,1,2,3,5,6,7,4]=>[[1,3,4,5,6,7],[2],[8]]=>8
[7,8,2,4,3,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[6,8,3,2,4,1,7,5]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[2,1,8,3,4,6,7,5]=>[[1,3,5,6,7],[2,4],[8]]=>9
[2,1,7,8,5,4,3,6]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[5,7,3,8,1,4,2,6]=>[[1,2,4],[3,6,8],[5,7]]=>16
[7,1,8,4,5,3,2,6]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[2,7,8,4,5,3,1,6]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[8,7,1,4,3,6,2,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[3,8,7,4,2,6,1,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[5,7,8,4,3,6,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[5,6,3,8,4,2,7,1]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[4,8,3,6,2,1,7,5]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[8,6,3,1,4,2,7,5]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[7,5,3,8,2,4,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[2,4,3,1,8,5,7,6]=>[[1,2,5,7],[3,6],[4,8]]=>13
[4,1,3,2,6,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>11
[7,5,3,6,2,8,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[8,6,3,5,1,2,7,4]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[5,8,3,2,6,1,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[4,5,3,8,6,2,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[3,5,8,4,7,6,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[5,8,2,4,7,6,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[8,7,5,4,1,6,2,3]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[2,7,6,4,5,8,1,3]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[7,1,6,4,5,8,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[5,7,3,6,1,8,2,4]=>[[1,2,6],[3,4,8],[5,7]]=>14
[2,1,7,6,5,8,3,4]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[2,1,8,5,3,6,7,4]=>[[1,3,6,7],[2,4,8],[5]]=>8
[6,8,3,5,2,1,7,4]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[7,8,5,4,2,6,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[8,1,4,2,5,6,7,3]=>[[1,3,5,6,7],[2,8],[4]]=>8
[2,8,4,1,5,6,7,3]=>[[1,2,5,6,7],[3,8],[4]]=>10
[4,8,1,2,5,6,7,3]=>[[1,2,5,6,7],[3,4],[8]]=>11
[3,4,8,1,5,6,7,2]=>[[1,2,3,6,7],[4,5],[8]]=>13
[3,4,2,8,5,6,7,1]=>[[1,2,4,6,7],[3,5],[8]]=>12
[2,4,1,8,5,6,7,3]=>[[1,2,4,6,7],[3,5],[8]]=>12
[4,1,2,8,5,6,7,3]=>[[1,3,4,6,7],[2,5],[8]]=>10
[8,4,2,1,5,6,7,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[7,5,2,4,8,6,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[6,5,3,2,8,1,7,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>14
[2,1,5,3,8,6,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>10
[6,4,3,5,8,1,7,2]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[7,3,5,4,8,6,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[8,3,4,1,5,6,7,2]=>[[1,3,5,6,7],[2,8],[4]]=>8
[4,3,1,8,5,6,7,2]=>[[1,4,6,7],[2,5],[3,8]]=>8
[3,1,4,8,5,6,7,2]=>[[1,3,4,6,7],[2,5],[8]]=>10
[6,5,3,7,2,8,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[6,3,7,4,5,8,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[6,7,2,4,5,8,3,1]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[5,1,7,4,8,6,3,2]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[2,5,7,4,8,6,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[5,6,3,7,1,8,4,2]=>[[1,2,4,6],[3,7],[5,8]]=>15
[3,8,7,4,5,2,1,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>16
[3,7,5,4,8,6,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[5,7,1,4,8,6,2,3]=>[[1,2,5],[3,4,6],[7,8]]=>17
[5,6,3,1,8,2,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>16
[4,6,3,5,8,2,7,1]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[4,6,3,8,1,2,7,5]=>[[1,2,4],[3,6,7],[5,8]]=>17
[3,7,8,4,1,6,2,5]=>[[1,2,3],[4,6,8],[5,7]]=>17
[3,2,5,1,6,8,4,7]=>[[1,3,5,6],[2,7,8],[4]]=>10
[3,6,2,5,4,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[3,5,2,4,7,1,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>11
[3,5,8,2,4,7,6,1]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[4,2,5,8,3,7,6,1]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[4,2,6,5,3,8,1,7]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[5,4,2,1,6,8,3,7]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[6,3,5,1,4,8,2,7]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[4,6,1,5,3,8,2,7]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[5,1,6,4,3,8,2,7]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[5,4,3,2,7,1,8,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[5,4,3,8,2,7,6,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[4,3,6,2,8,7,5,1]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[4,3,7,6,2,1,8,5]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[6,4,3,1,7,2,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[7,5,4,3,1,8,2,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[1,4,7,5,8,3,2,6]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[7,1,3,5,8,4,2,6]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[7,2,5,8,4,1,3,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[2,8,5,7,4,6,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[3,5,8,7,1,4,6,2]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[1,4,5,8,7,3,6,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[1,5,4,8,7,3,6,2]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[6,4,3,8,1,7,5,2]=>[[1,4],[2,6],[3,7],[5,8]]=>13
[4,3,7,1,8,6,5,2]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[4,8,3,7,6,5,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>26
[5,3,8,7,6,4,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>24
[7,5,3,1,8,6,4,2]=>[[1,5],[2,6],[3,7],[4,8]]=>12
[1,8,6,5,3,7,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[1,5,8,6,3,7,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[4,6,1,8,7,3,5,2]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[6,8,7,3,1,4,5,2]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[6,2,8,7,4,5,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[7,6,2,8,4,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[7,3,1,6,8,4,2,5]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[1,7,6,4,8,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[5,7,1,6,3,2,8,4]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[6,1,7,5,3,2,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[7,6,5,3,2,1,8,4]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[6,5,3,2,8,7,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[5,2,6,3,8,7,4,1]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[5,2,7,6,3,1,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[6,5,2,1,7,3,8,4]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[5,2,7,4,1,8,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>12
[4,7,2,6,3,1,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[2,4,8,6,3,7,5,1]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[3,8,6,2,4,7,5,1]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[7,3,6,2,4,1,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[3,6,7,2,1,4,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>14
[4,3,7,8,2,1,5,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[8,3,7,1,4,6,2,5]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[3,8,2,5,7,1,6,4]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[8,3,6,2,7,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[7,8,3,6,2,1,5,4]=>[[1,2],[3,4],[5,7],[6,8]]=>22
[8,7,3,6,2,5,4,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>21
[4,7,8,2,1,6,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[4,2,6,8,1,7,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[5,4,8,2,7,1,6,3]=>[[1,3],[2,5],[4,7],[6,8]]=>15
[4,8,1,5,7,2,6,3]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[5,8,3,7,1,6,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[5,8,7,2,6,1,3,4]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[8,6,2,7,5,1,3,4]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[3,6,8,1,7,5,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[5,1,6,8,2,7,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[6,5,2,8,1,7,4,3]=>[[1,4],[2,6],[3,7],[5,8]]=>13
[5,2,7,1,8,6,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[5,8,2,7,6,4,3,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>26
[6,2,8,7,5,4,3,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>24
[7,6,2,1,8,5,4,3]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[6,1,7,2,8,5,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[7,5,1,8,2,6,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[4,7,1,8,6,2,5,3]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[7,8,3,1,6,5,2,4]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[8,7,4,6,1,5,3,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>21
[8,5,7,1,6,4,3,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>23
[6,8,1,7,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>26
[7,1,8,6,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>24
[5,4,2,3,7,6,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[6,4,2,7,3,5,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[7,4,2,6,3,5,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[8,4,2,6,3,1,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[3,2,7,6,4,5,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[4,7,2,6,3,5,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[5,7,6,2,3,4,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[1,6,5,2,3,8,4,7]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,7,5,2,8,3,4,6]=>[[1,2,5,7,8],[3,6],[4]]=>8
[6,8,5,2,3,1,4,7]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[5,8,6,2,3,1,4,7]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[4,8,2,6,3,1,5,7]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[3,2,8,6,4,1,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[3,2,1,6,4,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>5
[7,1,5,2,8,3,4,6]=>[[1,3,5,7,8],[2,6],[4]]=>6
[1,8,5,2,7,3,4,6]=>[[1,2,5,7,8],[3,6],[4]]=>8
[1,8,6,7,2,3,4,5]=>[[1,2,4,7,8],[3,6],[5]]=>9
[8,1,6,7,2,3,4,5]=>[[1,3,4,7,8],[2,6],[5]]=>7
[7,1,6,8,2,3,4,5]=>[[1,3,4,7,8],[2,6],[5]]=>7
[3,2,1,7,8,4,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>7
[3,2,8,7,1,4,5,6]=>[[1,3,7,8],[2,4],[5,6]]=>10
[5,8,7,2,1,3,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[1,7,6,8,2,3,4,5]=>[[1,2,4,7,8],[3,6],[5]]=>9
[6,5,8,2,3,1,4,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[8,5,7,2,1,3,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[6,4,2,8,3,1,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[5,4,2,3,8,1,6,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[3,2,5,4,1,8,6,7]=>[[1,3,6,8],[2,4,7],[5]]=>7
[4,5,2,3,1,8,6,7]=>[[1,2,6,8],[3,4,7],[5]]=>9
[5,4,2,3,1,8,6,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[6,4,2,1,3,8,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[7,4,2,1,8,3,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[8,4,2,1,7,3,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[1,4,2,8,7,3,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,5,8,2,7,3,4,6]=>[[1,2,3,7,8],[4,5],[6]]=>11
[8,5,1,2,7,3,4,6]=>[[1,4,5,7,8],[2,6],[3]]=>5
[7,5,1,2,8,3,4,6]=>[[1,4,5,7,8],[2,6],[3]]=>5
[6,5,1,2,3,8,4,7]=>[[1,4,5,6,8],[2,7],[3]]=>6
[4,6,2,1,3,8,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>8
[3,2,6,1,4,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>6
[3,2,7,1,8,4,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>8
[4,7,2,1,8,3,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>11
[7,6,1,8,2,3,4,5]=>[[1,4,6,7,8],[2,5],[3]]=>4
[8,6,1,7,2,3,4,5]=>[[1,4,6,7,8],[2,5],[3]]=>4
[1,6,8,7,2,3,4,5]=>[[1,2,3,7,8],[4,6],[5]]=>10
[1,7,8,6,2,3,4,5]=>[[1,2,3,7,8],[4,6],[5]]=>10
[7,8,1,6,2,3,4,5]=>[[1,2,6,7,8],[3,4],[5]]=>8
[6,8,1,7,2,3,4,5]=>[[1,2,6,7,8],[3,4],[5]]=>8
[4,8,2,1,7,3,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>10
[3,2,8,1,7,4,5,6]=>[[1,3,7,8],[2,5],[4,6]]=>7
[3,2,1,8,7,4,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>6
[5,1,8,2,7,3,4,6]=>[[1,3,5,7,8],[2,4],[6]]=>7
[6,1,8,7,2,3,4,5]=>[[1,3,6,7,8],[2,4],[5]]=>6
[8,1,7,6,2,3,4,5]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[1,8,7,6,2,3,4,5]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[6,3,5,1,2,4,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>7
[4,3,5,6,1,2,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>10
[8,3,7,5,2,1,4,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[6,3,7,5,1,8,4,2]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[6,5,2,7,1,8,3,4]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[8,5,2,7,4,1,3,6]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[2,6,1,5,4,3,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[6,4,3,5,1,2,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[5,3,1,4,6,2,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>8
[3,1,4,6,5,2,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>11
[5,7,4,6,2,8,3,1]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[8,1,4,7,2,6,3,5]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[3,4,7,8,5,2,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[2,1,8,5,7,3,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>8
[8,6,3,5,1,7,4,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[5,8,2,4,6,7,3,1]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[3,4,8,6,5,7,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[7,5,4,8,1,6,3,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[5,1,4,6,8,2,7,3]=>[[1,3,4,5],[2,7],[6,8]]=>13
[2,5,4,6,7,1,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>12
[2,4,6,3,7,5,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>14
[4,1,6,3,8,5,7,2]=>[[1,3,5,7],[2,4,6],[8]]=>10
[3,7,4,2,8,6,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[7,4,1,3,5,8,6,2]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[6,5,8,4,1,7,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>18
[8,5,3,7,4,1,6,2]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[2,1,4,8,3,7,6,5]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[7,4,3,8,2,1,6,5]=>[[1,4],[2,7],[3,8],[5],[6]]=>15
[6,3,7,4,1,8,2,5]=>[[1,3,6],[2,4,8],[5,7]]=>12
[8,3,1,2,5,7,6,4]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[3,1,8,2,7,6,5,4]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[2,3,8,1,6,7,5,4]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[4,3,7,2,6,8,5,1]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[4,7,2,3,8,5,6,1]=>[[1,2,5,7],[3,4,6],[8]]=>12
[3,8,2,1,7,5,6,4]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[2,8,1,3,6,5,7,4]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[2,7,8,5,4,3,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[8,7,1,6,3,4,2,5]=>[[1,4,6,8],[2],[3],[5],[7]]=>13
[3,8,6,7,2,4,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[5,3,8,7,4,2,6,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[4,3,8,7,2,1,6,5]=>[[1,3],[2,4],[5,7],[6,8]]=>20
[8,3,6,1,4,2,7,5]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[7,3,5,8,2,4,1,6]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[2,3,4,1,8,5,7,6]=>[[1,2,3,5,7],[4,6],[8]]=>14
[4,1,3,2,6,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>8
[8,3,5,6,2,7,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[5,3,6,1,8,7,2,4]=>[[1,3,5],[2,6,8],[4,7]]=>11
[5,6,2,8,7,4,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[7,8,5,6,1,4,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[2,8,6,5,4,7,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[8,1,6,4,5,7,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[5,8,3,6,1,7,2,4]=>[[1,2,6],[3,4,8],[5,7]]=>14
[2,1,8,6,5,7,3,4]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[2,1,7,5,3,6,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>8
[6,7,3,5,2,1,8,4]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[7,1,4,2,5,6,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>8
[2,7,4,1,6,5,8,3]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[4,6,1,2,8,7,3,5]=>[[1,2,5,8],[3,4,6],[7]]=>11
[2,4,1,5,8,7,6,3]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[4,1,2,5,8,6,7,3]=>[[1,3,4,5,7],[2,6],[8]]=>11
[6,4,2,1,5,8,7,3]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[8,5,2,4,6,1,7,3]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[7,5,3,2,6,8,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[2,1,5,3,6,8,7,4]=>[[1,3,5,6],[2,4,7],[8]]=>11
[7,3,5,4,6,1,8,2]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[6,3,4,1,5,7,8,2]=>[[1,3,5,6,7],[2,8],[4]]=>8
[4,3,1,5,7,6,8,2]=>[[1,4,5,7],[2,6],[3,8]]=>9
[3,1,4,5,6,8,7,2]=>[[1,3,4,5,6],[2,7],[8]]=>12
[4,5,2,6,3,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>14
[6,5,2,1,4,3,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[6,5,2,7,4,8,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[8,5,2,7,4,1,6,3]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[8,3,7,5,2,1,6,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[6,3,7,5,2,8,4,1]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[3,1,6,5,4,2,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[5,6,3,2,4,1,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[3,6,2,4,1,5,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>10
[2,6,1,3,5,4,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>11
[6,7,2,3,4,8,5,1]=>[[1,2,5,6],[3,4,7],[8]]=>13
[8,7,2,3,4,1,6,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[5,1,7,3,8,4,6,2]=>[[1,3,5,7],[2,4,6],[8]]=>10
[2,5,7,3,8,6,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[7,6,1,3,5,8,4,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[3,6,7,4,1,8,5,2]=>[[1,2,3,6],[4,7],[5,8]]=>16
[5,6,3,7,4,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>17
[2,1,6,7,4,8,5,3]=>[[1,3,4,6],[2,5,7],[8]]=>13
[2,1,8,7,4,3,6,5]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[5,8,3,7,4,2,6,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[3,8,7,4,1,2,6,5]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[7,8,1,3,5,2,6,4]=>[[1,2,5,7],[3,4],[6,8]]=>15
[5,8,7,3,2,6,1,4]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[2,8,6,3,1,5,7,4]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[8,1,6,3,2,5,4,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[2,8,4,1,6,3,7,5]=>[[1,2,5,7],[3,6,8],[4]]=>12
[4,8,1,2,7,6,3,5]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[3,8,4,2,5,7,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[6,8,3,5,2,7,4,1]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[2,1,5,3,8,7,6,4]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[6,5,3,2,8,7,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[7,5,2,4,8,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[3,4,2,8,5,7,6,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[2,4,1,8,7,6,5,3]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[8,4,2,1,7,5,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[4,3,1,8,6,7,5,2]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[3,1,4,8,6,5,7,2]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[7,1,6,5,4,8,2,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[3,7,5,6,8,4,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[5,7,1,6,8,2,4,3]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[8,6,2,5,1,7,4,3]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[5,6,2,1,8,7,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>15
[4,6,2,5,8,3,7,1]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[7,5,2,6,3,8,1,4]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[4,1,2,3,6,8,7,5]=>[[1,3,4,5,6],[2,7],[8]]=>12
[2,4,3,1,8,5,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>8
[7,5,2,8,3,4,6,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[5,6,2,8,4,3,1,7]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[4,7,2,8,1,5,3,6]=>[[1,2,4],[3,6,8],[5,7]]=>16
[8,7,2,1,4,5,6,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[3,6,8,7,1,5,4,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[5,7,8,6,3,4,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[7,1,8,5,4,3,6,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[2,7,8,4,5,3,6,1]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[5,7,3,8,1,4,6,2]=>[[1,2,4],[3,6,7],[5,8]]=>17
[2,1,7,8,5,4,6,3]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[2,1,5,8,4,6,3,7]=>[[1,3,4,8],[2,5,6],[7]]=>11
[6,5,3,8,4,1,2,7]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[7,5,8,4,3,6,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>22
[2,4,8,3,5,6,1,7]=>[[1,2,3,6,8],[4,5],[7]]=>12
[4,1,8,3,6,5,2,7]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[3,4,8,1,7,2,5,6]=>[[1,2,3,8],[4,5,7],[6]]=>14
[8,4,1,3,7,2,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[3,1,8,2,4,7,6,5]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[2,3,8,1,4,6,7,5]=>[[1,2,3,6,7],[4,5],[8]]=>13
[4,3,8,2,5,1,7,6]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[6,3,8,4,2,5,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[7,4,3,8,2,5,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[2,1,4,8,3,5,7,6]=>[[1,3,4,7],[2,5,6],[8]]=>12
[6,8,2,4,3,5,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[4,8,2,3,5,1,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>9
[3,8,2,1,4,6,5,7]=>[[1,2,6,8],[3,5],[4,7]]=>11
[2,8,1,3,4,5,7,6]=>[[1,2,5,6,7],[3,4],[8]]=>11
[2,8,4,1,6,5,3,7]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[2,8,4,1,6,5,7,3]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[2,8,7,6,1,4,3,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[2,8,5,6,7,4,3,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[7,5,8,6,1,4,2,3]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[3,5,7,6,1,4,2,8]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[3,5,7,2,4,1,6,8]=>[[1,2,3,8],[4,5,7],[6]]=>14
[7,5,8,2,4,1,6,3]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[2,8,5,3,4,7,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[2,8,5,3,4,1,7,6]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[2,8,5,3,4,1,6,7]=>[[1,2,5,7,8],[3],[4],[6]]=>10
[2,8,7,6,1,4,5,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[2,8,5,3,6,1,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[2,8,5,6,7,4,1,3]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[2,8,5,3,4,7,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[2,8,5,3,4,6,1,7]=>[[1,2,5,6,8],[3],[4],[7]]=>11
[2,8,5,3,4,6,7,1]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[3,5,7,2,4,6,1,8]=>[[1,2,3,8],[4,5,6],[7]]=>15
[6,5,2,7,3,1,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[6,5,2,8,3,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[6,5,2,8,3,1,4,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[7,5,8,2,4,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[7,5,8,6,1,4,3,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[6,5,8,2,1,3,7,4]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[3,5,6,2,1,8,7,4]=>[[1,2,3,6],[4,7],[5,8]]=>16
[3,5,7,6,1,4,8,2]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[3,5,7,2,4,1,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>15
[3,5,7,2,4,6,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>16
[6,5,2,7,3,1,8,4]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[4,5,2,6,3,1,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[4,1,2,3,7,6,8,5]=>[[1,3,4,5,7],[2,6],[8]]=>11
[6,5,2,7,3,4,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[5,1,6,7,4,3,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[5,1,2,6,4,8,7,3]=>[[1,3,4,6],[2,5,7],[8]]=>13
[5,1,2,8,6,4,7,3]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[5,1,6,8,7,3,4,2]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[6,5,2,8,3,7,4,1]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[4,1,2,3,8,7,5,6]=>[[1,3,4,5,8],[2,6],[7]]=>10
[4,1,2,3,8,6,5,7]=>[[1,3,4,5,8],[2,6],[7]]=>10
[4,1,2,3,8,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>11
[4,1,2,3,7,6,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>10
[4,1,2,3,8,5,7,6]=>[[1,3,4,5,7],[2,6],[8]]=>11
[7,1,6,8,4,3,5,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[6,1,2,8,4,5,7,3]=>[[1,3,4,6,7],[2,5],[8]]=>10
[5,6,8,2,3,1,7,4]=>[[1,2,3],[4,5,7],[6,8]]=>20
[6,5,8,2,4,3,1,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[6,5,8,2,4,3,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[7,5,2,8,3,4,1,6]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[6,5,2,8,3,7,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[6,5,2,7,3,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[5,1,6,7,4,3,2,8]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[5,1,6,8,7,3,2,4]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[7,1,6,8,4,3,2,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[5,7,8,6,3,4,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[4,1,8,3,6,5,7,2]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[4,1,8,3,6,2,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>13
[3,1,4,8,6,2,7,5]=>[[1,3,4,7],[2,5,8],[6]]=>11
[3,1,4,8,6,5,2,7]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[7,1,6,5,8,3,2,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[4,1,6,7,8,3,2,5]=>[[1,3,4,5],[2,6,8],[7]]=>13
[4,1,6,5,7,3,2,8]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[4,5,2,6,3,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[4,5,2,7,3,8,1,6]=>[[1,2,4,6],[3,5,8],[7]]=>15
[3,5,6,2,4,8,7,1]=>[[1,2,3,6],[4,5,7],[8]]=>17
[3,5,6,2,4,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>16
[3,7,5,6,8,4,1,2]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[3,6,5,2,8,1,7,4]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[6,1,2,5,8,4,7,3]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[7,1,6,5,8,3,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[7,5,2,6,3,8,4,1]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[4,1,2,3,5,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>12
[4,1,2,3,7,8,6,5]=>[[1,3,4,5,6],[2,7],[8]]=>12
[4,5,2,7,3,8,6,1]=>[[1,2,4,6],[3,5,7],[8]]=>16
[4,1,6,7,8,3,5,2]=>[[1,3,4,5],[2,6,7],[8]]=>14
[4,1,2,6,8,5,7,3]=>[[1,3,4,5],[2,6,7],[8]]=>14
[4,1,2,5,6,8,7,3]=>[[1,3,4,5,6],[2,7],[8]]=>12
[4,5,2,6,3,7,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>12
[7,8,5,6,1,4,3,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[7,8,4,2,1,5,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[7,8,2,1,6,5,3,4]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[6,4,1,2,5,7,3,8]=>[[1,4,5,6,8],[2,7],[3]]=>6
[2,4,8,1,5,7,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>16
[4,3,8,1,7,2,5,6]=>[[1,3,7,8],[2,5],[4,6]]=>7
[6,3,1,4,7,2,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>7
[7,8,3,4,5,1,6,2]=>[[1,2,5,7],[3,4],[6,8]]=>15
[7,8,3,5,4,2,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[7,8,4,1,2,3,6,5]=>[[1,2,6,7],[3,5],[4,8]]=>12
[7,8,3,6,5,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[7,8,2,1,5,3,4,6]=>[[1,2,7,8],[3,5],[4,6]]=>10
[7,8,2,6,4,1,3,5]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[7,8,2,5,6,4,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[7,8,1,6,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>26
[6,2,1,7,5,4,3,8]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[2,1,8,7,5,4,3,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[1,3,8,2,6,4,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>15
[5,3,7,1,6,4,8,2]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[5,3,6,2,7,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[6,1,2,5,8,7,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[6,3,1,8,4,2,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>7
[6,4,2,1,5,3,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[6,4,3,7,5,8,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[4,3,8,7,5,6,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[2,4,7,1,5,3,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[1,3,7,6,4,2,8,5]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[2,1,7,5,6,8,4,3]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[3,7,2,8,6,4,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[3,8,1,7,6,4,5,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[1,8,5,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[2,7,5,8,3,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[1,5,6,8,2,4,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>19
[2,6,8,5,3,1,4,7]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[2,6,1,4,7,3,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>10
[5,6,7,3,8,4,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>19
[5,2,8,1,4,7,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>9
[4,6,7,5,2,1,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[4,5,6,7,2,8,1,3]=>[[1,2,3,4,6],[5,8],[7]]=>15
[4,5,7,6,1,8,3,2]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[1,5,8,6,2,7,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>15
[1,6,5,8,3,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[4,6,5,7,1,2,8,3]=>[[1,2,4,7],[3,6,8],[5]]=>13
[4,7,5,6,3,1,8,2]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[5,1,6,3,4,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>9
[5,7,1,4,2,3,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>10
[5,7,6,4,3,8,1,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[6,3,4,5,8,7,1,2]=>[[1,3,4,5],[2,6],[7,8]]=>16
[6,2,4,1,8,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>12
[6,2,3,5,4,8,1,7]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[6,1,3,4,5,8,7,2]=>[[1,3,4,5,6],[2,7],[8]]=>12
[5,1,4,2,7,6,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>10
[1,6,2,4,7,8,3,5]=>[[1,2,4,5,6],[3,8],[7]]=>13
[5,7,2,4,1,6,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>13
[6,1,4,2,8,5,3,7]=>[[1,3,5,8],[2,6],[4,7]]=>9
[6,7,5,8,1,4,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[5,8,7,6,3,4,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[5,8,7,6,2,3,1,4]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[4,1,7,2,6,5,3,8]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[4,8,2,1,5,6,3,7]=>[[1,2,6,8],[3,5],[4,7]]=>11
[4,2,7,8,1,6,3,5]=>[[1,3,4],[2,6,8],[5,7]]=>12
[2,1,8,7,6,5,3,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[3,1,4,7,8,2,6,5]=>[[1,3,4,5],[2,6,7],[8]]=>14
[3,1,7,4,5,6,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>9
[4,2,7,1,6,3,8,5]=>[[1,3,7],[2,5,8],[4,6]]=>8
[4,3,7,5,6,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>14
[4,8,6,3,5,7,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[4,8,1,2,5,3,7,6]=>[[1,2,5,7],[3,4,8],[6]]=>11
[3,8,6,5,2,4,1,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[3,8,5,6,1,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[5,3,7,8,2,1,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[5,2,8,7,1,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[1,6,8,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[3,6,7,8,5,1,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[3,7,6,8,5,2,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[3,7,8,5,1,2,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>13
[3,7,1,6,4,2,5,8]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[4,1,8,6,2,3,5,7]=>[[1,3,6,7,8],[2,4],[5]]=>6
[4,7,8,6,3,5,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[3,8,7,6,5,4,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[2,1,7,6,5,3,4,8]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[2,8,1,6,4,5,3,7]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[2,8,7,5,1,4,3,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[2,8,6,7,5,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[2,7,8,6,5,4,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[6,4,2,7,1,3,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[7,4,2,5,1,3,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[8,5,3,6,1,7,2,4]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[7,3,6,2,4,8,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[4,3,7,1,2,5,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>7
[3,6,2,7,1,4,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>13
[5,3,6,7,1,2,8,4]=>[[1,3,4,7],[2,6,8],[5]]=>10
[6,3,7,4,1,2,8,5]=>[[1,3,7],[2,4,8],[5,6]]=>11
[4,7,1,5,2,3,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>10
[3,7,5,1,2,4,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>9
[7,6,4,2,3,8,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[8,6,4,2,3,7,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[4,7,6,3,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[5,7,4,2,3,8,1,6]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[3,7,6,1,4,8,2,5]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[6,4,7,5,2,8,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[7,4,8,5,2,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[5,8,2,6,3,7,1,4]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[3,8,6,2,4,7,1,5]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[4,8,6,2,7,1,3,5]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[2,6,5,8,1,3,4,7]=>[[1,2,4,8],[3,6,7],[5]]=>12
[2,5,7,4,8,1,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>16
[5,4,6,7,2,8,1,3]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[3,5,7,1,4,8,2,6]=>[[1,2,3,6],[4,5,8],[7]]=>16
[5,3,7,2,4,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[5,4,7,3,8,1,2,6]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[7,4,6,3,8,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[8,4,6,3,7,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[8,4,1,6,7,2,3,5]=>[[1,4,5,8],[2,6,7],[3]]=>7
[7,4,1,6,8,2,3,5]=>[[1,4,5,8],[2,6,7],[3]]=>7
[6,5,3,7,1,8,2,4]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[6,5,1,2,7,8,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>9
[5,3,6,4,7,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>14
[6,3,7,4,8,5,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>15
[4,7,1,5,8,6,2,3]=>[[1,2,5],[3,4,6],[7,8]]=>17
[7,5,1,2,8,6,3,4]=>[[1,4,5,8],[2,6],[3,7]]=>8
[7,6,1,8,5,2,3,4]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[8,6,1,7,5,2,3,4]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[5,7,2,8,1,6,3,4]=>[[1,2,4],[3,6,8],[5,7]]=>16
[6,3,7,8,5,1,2,4]=>[[1,3,4],[2,5,8],[6,7]]=>15
[3,6,8,2,7,1,4,5]=>[[1,2,3],[4,5,8],[6,7]]=>19
[2,4,8,7,1,3,5,6]=>[[1,2,3,8],[4,6,7],[5]]=>13
[4,3,8,7,1,2,5,6]=>[[1,3,7,8],[2,4],[5,6]]=>10
[5,3,8,7,1,2,4,6]=>[[1,3,7,8],[2,4],[5,6]]=>10
[8,3,7,6,1,2,4,5]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[8,4,7,6,1,2,3,5]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[3,5,8,7,1,2,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>13
[2,5,8,7,1,3,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>13
[6,8,4,7,5,1,2,3]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[5,8,7,1,6,2,3,4]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[2,8,7,6,1,3,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[3,8,7,6,1,2,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[4,8,7,6,1,2,3,5]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[5,6,3,1,4,2,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>11
[7,5,3,8,2,1,6,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>15
[3,8,7,4,5,1,6,2]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[2,1,7,8,5,3,6,4]=>[[1,3,4],[2,5,7],[6,8]]=>16
[5,7,3,8,1,2,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>17
[8,7,1,4,5,3,2,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[2,7,8,4,1,6,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[7,1,8,4,2,6,5,3]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[7,5,1,4,8,6,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[6,5,3,1,8,4,7,2]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[8,6,3,1,2,5,7,4]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[8,7,1,4,2,6,5,3]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[2,3,4,5,6,7,8,1,9]=>[[1,2,3,4,5,6,7,9],[8]]=>7
[2,3,4,5,6,8,9,1,7]=>[[1,2,3,4,5,6,7],[8,9]]=>14
[2,3,4,5,7,8,9,1,6]=>[[1,2,3,4,5,6,7],[8,9]]=>14
[2,3,4,6,7,8,9,1,5]=>[[1,2,3,4,5,6,7],[8,9]]=>14
[2,3,5,6,7,8,9,1,4]=>[[1,2,3,4,5,6,7],[8,9]]=>14
[2,4,5,6,7,8,9,1,3]=>[[1,2,3,4,5,6,7],[8,9]]=>14
[3,4,5,6,7,8,9,1,2]=>[[1,2,3,4,5,6,7],[8,9]]=>14
[2,3,4,5,6,7,8,9,10,1]=>[[1,2,3,4,5,6,7,8,9],[10]]=>9
[2,3,4,5,6,7,8,9,1,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>8
[2,3,4,5,6,7,1,8,9]=>[[1,2,3,4,5,6,8,9],[7]]=>6
[2,3,4,5,6,7,8,10,1,9]=>[[1,2,3,4,5,6,7,8],[9,10]]=>16
[2,3,4,5,6,1,9,7,8]=>[[1,2,3,4,5,7,9],[6,8]]=>11
[2,3,4,5,6,7,9,10,1,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>16
[2,3,4,5,6,8,9,10,1,7]=>[[1,2,3,4,5,6,7,8],[9,10]]=>16
[2,3,4,5,7,8,9,10,1,6]=>[[1,2,3,4,5,6,7,8],[9,10]]=>16
[2,3,4,6,7,8,9,10,1,5]=>[[1,2,3,4,5,6,7,8],[9,10]]=>16
[2,3,5,6,7,8,9,10,1,4]=>[[1,2,3,4,5,6,7,8],[9,10]]=>16
[1,4,5,6,7,8,9,2,3]=>[[1,2,3,4,5,6,7],[8,9]]=>14
[2,4,5,6,7,8,9,10,1,3]=>[[1,2,3,4,5,6,7,8],[9,10]]=>16
[3,4,5,6,7,8,9,10,1,2]=>[[1,2,3,4,5,6,7,8],[9,10]]=>16
[3,6,4,5,7,2,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[5,3,2,7,4,6,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[7,5,3,6,2,4,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[6,3,2,5,1,8,4,7]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[8,5,3,6,2,7,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[8,2,6,3,4,7,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[7,2,6,3,4,5,8,1]=>[[1,3,5,6,7],[2],[4],[8]]=>11
[6,2,7,3,4,5,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>9
[4,2,5,7,3,6,8,1]=>[[1,3,4,7],[2,5,6],[8]]=>12
[5,4,7,6,2,3,8,1]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[6,7,3,5,2,4,8,1]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[3,7,6,2,4,5,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[2,7,6,3,4,5,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[6,5,3,1,2,8,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[8,6,5,2,3,7,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[8,5,2,1,7,3,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[7,5,2,1,8,3,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[1,6,3,2,8,4,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>8
[5,6,2,3,1,8,4,7]=>[[1,2,6,8],[3,4,7],[5]]=>9
[5,4,8,6,2,7,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[6,8,3,5,2,7,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[7,8,5,2,3,6,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[6,8,2,1,7,3,4,5]=>[[1,2,7,8],[3,5],[4,6]]=>10
[1,8,6,3,7,2,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[1,8,2,7,3,4,5,6]=>[[1,2,4,6,7,8],[3],[5]]=>6
[2,8,1,7,3,4,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>8
[3,8,6,1,7,2,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>11
[4,8,1,5,7,2,3,6]=>[[1,2,5,8],[3,4,7],[6]]=>10
[4,2,8,3,7,1,5,6]=>[[1,3,5,8],[2,4],[6,7]]=>12
[8,1,2,7,3,4,5,6]=>[[1,3,4,6,7,8],[2],[5]]=>5
[3,6,2,7,1,8,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>14
[6,3,7,1,2,8,4,5]=>[[1,3,6,8],[2,5,7],[4]]=>6
[7,2,6,1,8,3,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>8
[7,3,1,5,8,2,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>7
[3,2,1,5,8,4,6,7]=>[[1,4,5,8],[2,6,7],[3]]=>7
[5,4,1,3,6,8,2,7]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[1,5,3,4,6,8,2,7]=>[[1,2,4,5,6],[3,8],[7]]=>13
[4,3,5,1,6,8,2,7]=>[[1,3,5,6],[2,7,8],[4]]=>10
[5,4,6,3,8,7,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[3,6,4,5,8,7,1,2]=>[[1,2,4,5],[3,6],[7,8]]=>18
[6,5,3,4,8,7,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[5,3,2,8,7,1,4,6]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[5,3,1,8,7,2,4,6]=>[[1,4,7,8],[2,5],[3,6]]=>6
[8,5,3,7,6,1,2,4]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[6,1,8,3,7,2,4,5]=>[[1,3,5,8],[2,4],[6,7]]=>12
[6,3,8,1,7,2,4,5]=>[[1,3,7,8],[2,5],[4,6]]=>7
[7,6,8,2,3,5,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[3,7,8,2,4,6,1,5]=>[[1,2,3],[4,5,6],[7,8]]=>21
[6,7,3,8,2,5,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[5,4,7,8,2,6,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[4,2,5,8,7,1,3,6]=>[[1,3,4],[2,5,8],[6,7]]=>15
[2,3,8,7,1,4,5,6]=>[[1,2,3,7,8],[4,6],[5]]=>10
[7,2,8,6,1,3,4,5]=>[[1,3,7,8],[2,4],[5,6]]=>10
[2,1,8,7,3,4,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>6
[8,2,7,6,1,3,4,5]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[1,2,8,7,3,4,5,6]=>[[1,2,3,6,7,8],[4],[5]]=>7
[1,3,8,7,2,4,5,6]=>[[1,2,3,7,8],[4,6],[5]]=>10
[1,7,8,3,6,2,4,5]=>[[1,2,3,8],[4,5],[6,7]]=>16
[4,1,5,8,7,2,3,6]=>[[1,3,4,8],[2,5,7],[6]]=>10
[5,4,8,7,6,1,2,3]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[6,8,3,7,5,1,2,4]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[7,8,6,2,5,1,3,4]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[8,1,6,7,3,2,5,4]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[8,1,6,7,3,2,4,5]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[8,1,5,3,7,2,4,6]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[8,1,5,3,6,2,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[7,5,1,3,6,2,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[7,5,8,3,6,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[7,4,8,3,2,6,5,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>18
[7,4,1,3,2,6,5,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[8,1,4,3,2,6,5,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[8,1,4,3,2,7,5,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[8,1,4,3,2,7,6,5]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[8,1,5,4,6,7,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[8,1,5,3,6,2,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,1,4,3,2,6,7,5]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[8,1,4,3,2,5,7,6]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[8,1,4,3,2,5,6,7]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[7,4,1,3,2,5,6,8]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[7,4,8,3,2,5,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[6,4,3,8,2,5,7,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[6,4,3,1,2,5,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[7,4,1,3,2,5,8,6]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[7,4,1,3,2,6,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[7,5,1,3,6,2,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[7,5,1,4,6,8,2,3]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[7,5,8,3,6,2,1,4]=>[[1,3],[2,5],[4,8],[6],[7]]=>18
[7,4,8,3,2,6,1,5]=>[[1,3],[2,6],[4,8],[5],[7]]=>17
[7,4,8,3,2,5,1,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[6,4,3,8,2,5,1,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[6,4,3,7,2,5,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[5,4,3,2,8,6,1,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[5,4,3,2,8,7,1,6]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[6,5,3,8,7,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[6,5,4,8,7,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[6,5,4,1,7,8,2,3]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[6,5,3,1,7,2,8,4]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[6,4,3,1,2,7,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[5,4,3,2,1,8,6,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[6,5,3,1,8,2,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[6,5,4,1,8,7,2,3]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[7,5,1,4,8,6,2,3]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[7,4,1,3,2,8,6,5]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[7,4,1,3,2,8,5,6]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[6,4,3,1,2,8,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[6,4,3,1,2,7,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[6,4,3,8,2,7,5,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[6,5,3,8,7,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[6,5,3,1,7,2,4,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[6,5,3,1,8,2,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[7,5,1,3,8,2,4,6]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[7,6,1,8,3,2,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[7,6,1,8,4,5,2,3]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[7,6,8,1,4,5,2,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[7,6,8,1,3,2,5,4]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[6,5,3,7,8,2,4,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[6,4,3,7,2,8,5,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[6,4,3,7,2,1,5,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[7,4,8,3,2,1,5,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[7,4,8,3,2,1,6,5]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[7,5,8,3,1,2,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[7,5,8,4,1,6,2,3]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[6,5,4,8,1,7,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[6,5,3,8,1,2,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[5,4,3,2,8,1,7,6]=>[[1,5],[2,7],[3,8],[4],[6]]=>14
[6,4,3,7,2,1,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[6,5,3,7,1,2,8,4]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[6,5,4,7,1,8,2,3]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[6,5,3,7,8,2,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[6,4,3,7,2,8,1,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[5,4,3,2,7,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[5,4,3,2,6,8,1,7]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[5,6,2,1,3,4,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>9
[5,3,7,8,2,1,4,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[7,6,1,2,5,8,3,4]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[2,1,7,8,4,3,5,6]=>[[1,3,4,8],[2,5,7],[6]]=>10
[7,8,1,2,5,4,6,3]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[8,4,1,3,7,6,2,5]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[6,5,2,1,8,7,4,3]=>[[1,5],[2,6],[3,7],[4,8]]=>12
[4,7,2,8,1,3,6,5]=>[[1,2,4],[3,6,7],[5,8]]=>17
[7,3,8,6,1,2,5,4]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[3,4,7,1,8,2,6,5]=>[[1,2,3,5],[4,6,7],[8]]=>18
[1,8,2,4,3,5,6,7]=>[[1,2,4,6,7,8],[3],[5]]=>6
[1,7,2,4,3,5,6,8]=>[[1,2,4,6,7,8],[3],[5]]=>6
[1,6,2,4,3,5,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>6
[1,5,2,4,3,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>6
[1,6,2,5,3,4,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>6
[1,7,2,5,3,4,6,8]=>[[1,2,4,6,7,8],[3],[5]]=>6
[1,8,2,5,3,4,6,7]=>[[1,2,4,6,7,8],[3],[5]]=>6
[1,8,2,6,3,4,5,7]=>[[1,2,4,6,7,8],[3],[5]]=>6
[1,7,2,6,3,4,5,8]=>[[1,2,4,6,7,8],[3],[5]]=>6
[1,8,2,7,3,5,4,6]=>[[1,2,4,6,8],[3],[5],[7]]=>12
[1,7,2,8,3,5,4,6]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,6,2,8,3,5,4,7]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,5,2,8,3,6,4,7]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,4,2,8,3,6,5,7]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,3,2,8,4,6,5,7]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,2,3,8,4,6,5,7]=>[[1,2,3,4,6,8],[5],[7]]=>10
[1,2,3,7,4,6,5,8]=>[[1,2,3,4,6,8],[5],[7]]=>10
[1,3,2,7,4,6,5,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,4,2,7,3,6,5,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,5,2,7,3,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,6,2,7,3,5,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,7,2,6,3,5,4,8]=>[[1,2,4,6,8],[3],[5],[7]]=>12
[1,8,2,6,3,5,4,7]=>[[1,2,4,6,8],[3],[5],[7]]=>12
[1,8,2,5,3,6,4,7]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,7,2,5,3,6,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,6,2,5,3,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,5,2,4,3,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,6,2,4,3,7,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,7,2,4,3,6,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,8,2,4,3,6,5,7]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,8,2,3,4,6,5,7]=>[[1,2,4,5,6,8],[3],[7]]=>8
[1,7,2,3,4,6,5,8]=>[[1,2,4,5,6,8],[3],[7]]=>8
[1,8,2,3,4,7,5,6]=>[[1,2,4,5,6,8],[3],[7]]=>8
[1,8,2,4,3,7,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,7,2,4,3,8,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,6,2,4,3,8,5,7]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,5,2,4,3,8,6,7]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,6,2,5,3,8,4,7]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,7,2,5,3,8,4,6]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,8,2,5,3,7,4,6]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,8,2,6,3,7,4,5]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,7,2,6,3,8,4,5]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,2,3,8,4,7,5,6]=>[[1,2,3,4,6,8],[5],[7]]=>10
[1,3,2,8,4,7,5,6]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,4,2,8,3,7,5,6]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,5,2,8,3,7,4,6]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,6,2,8,3,7,4,5]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,7,2,8,3,6,4,5]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,8,2,7,3,6,4,5]=>[[1,2,4,6,8],[3],[5],[7]]=>12
[4,6,3,7,2,5,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[4,6,3,7,5,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[4,6,3,8,5,1,7,2]=>[[1,2,4],[3,5,7],[6,8]]=>19
[4,6,3,8,5,1,2,7]=>[[1,2,4],[3,5,8],[6,7]]=>18
[5,6,8,3,4,1,2,7]=>[[1,2,3],[4,5,8],[6,7]]=>19
[5,6,8,3,4,1,7,2]=>[[1,2,3],[4,5,7],[6,8]]=>20
[4,6,2,7,5,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[5,6,7,2,4,3,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[5,6,8,4,3,1,7,2]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[5,6,8,4,3,1,2,7]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[5,7,8,4,1,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>17
[5,7,8,4,1,6,3,2]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[5,7,8,4,1,3,6,2]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[5,6,8,4,2,1,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[5,6,8,2,4,1,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>20
[4,6,2,8,5,1,7,3]=>[[1,2,4],[3,5,7],[6,8]]=>19
[3,2,6,8,5,1,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>16
[3,2,6,8,5,1,4,7]=>[[1,3,4],[2,5,8],[6,7]]=>15
[4,6,2,8,5,1,3,7]=>[[1,2,4],[3,5,8],[6,7]]=>18
[5,6,8,2,4,1,3,7]=>[[1,2,3],[4,5,8],[6,7]]=>19
[5,6,8,4,2,1,3,7]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[5,7,8,4,1,3,2,6]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[5,7,8,4,1,2,6,3]=>[[1,2,3],[4,6,7],[5,8]]=>18
[5,7,8,4,1,2,3,6]=>[[1,2,3,8],[4,6,7],[5]]=>13
[6,7,8,1,5,2,3,4]=>[[1,2,3,8],[4,5,7],[6]]=>14
[6,7,8,1,5,2,4,3]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[6,7,8,1,5,3,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[6,7,8,1,3,5,2,4]=>[[1,2,3],[4,5,6],[7,8]]=>21
[5,7,8,2,1,6,3,4]=>[[1,2,3],[4,6,8],[5,7]]=>17
[4,7,2,8,1,6,3,5]=>[[1,2,4],[3,6,8],[5,7]]=>16
[3,2,7,8,1,6,4,5]=>[[1,3,4],[2,6,8],[5,7]]=>12
[3,2,7,8,1,6,5,4]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[4,7,2,8,1,6,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[5,7,8,2,1,6,4,3]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[6,7,8,1,3,5,4,2]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[6,7,8,1,5,3,4,2]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[6,7,8,1,5,4,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[6,7,8,1,5,4,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[6,7,8,1,4,5,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>21
[6,7,8,1,4,5,3,2]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[6,7,8,1,4,3,5,2]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[6,7,8,1,3,4,5,2]=>[[1,2,3,7],[4,5,6],[8]]=>16
[5,7,8,2,1,4,6,3]=>[[1,2,3],[4,6,7],[5,8]]=>18
[4,7,2,8,1,5,6,3]=>[[1,2,4],[3,6,7],[5,8]]=>17
[3,2,7,8,1,5,6,4]=>[[1,3,4],[2,6,7],[5,8]]=>13
[3,2,6,8,4,1,7,5]=>[[1,3,4],[2,5,7],[6,8]]=>16
[4,6,2,8,3,1,7,5]=>[[1,2,4],[3,5,7],[6,8]]=>19
[5,6,8,3,2,1,7,4]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[5,7,8,3,1,4,6,2]=>[[1,2,3],[4,6,7],[5,8]]=>18
[5,7,8,3,1,6,4,2]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[5,7,8,3,1,6,2,4]=>[[1,2,3],[4,6,8],[5,7]]=>17
[4,7,3,8,1,6,2,5]=>[[1,2,4],[3,6,8],[5,7]]=>16
[4,7,3,8,1,6,5,2]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[4,7,3,8,1,5,6,2]=>[[1,2,4],[3,6,7],[5,8]]=>17
[4,6,3,8,2,1,7,5]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[4,5,3,2,8,1,7,6]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[4,5,2,3,8,1,7,6]=>[[1,2,5],[3,4,7],[6,8]]=>16
[3,2,5,4,8,1,7,6]=>[[1,3,5],[2,4,7],[6,8]]=>14
[4,5,3,2,8,1,6,7]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[4,6,3,8,2,1,5,7]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[4,7,3,8,1,5,2,6]=>[[1,2,4],[3,6,8],[5,7]]=>16
[4,7,3,8,1,2,6,5]=>[[1,2,4],[3,6,7],[5,8]]=>17
[4,7,3,8,1,2,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>12
[5,7,8,3,1,2,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>13
[5,7,8,3,1,2,6,4]=>[[1,2,3],[4,6,7],[5,8]]=>18
[5,7,8,3,1,4,2,6]=>[[1,2,3],[4,6,8],[5,7]]=>17
[5,6,8,3,2,1,4,7]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[3,2,7,8,1,5,4,6]=>[[1,3,4],[2,6,8],[5,7]]=>12
[5,7,8,2,1,4,3,6]=>[[1,2,3],[4,6,8],[5,7]]=>17
[6,7,8,1,3,4,2,5]=>[[1,2,3,8],[4,5,6],[7]]=>15
[6,7,8,1,4,3,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[6,7,8,1,4,2,5,3]=>[[1,2,3],[4,5,7],[6,8]]=>20
[6,7,8,1,4,2,3,5]=>[[1,2,3,8],[4,5,7],[6]]=>14
[6,7,8,1,2,5,3,4]=>[[1,2,3,8],[4,5,6],[7]]=>15
[6,7,8,1,2,5,4,3]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[6,7,8,1,2,4,5,3]=>[[1,2,3,7],[4,5,6],[8]]=>16
[6,7,8,1,3,2,5,4]=>[[1,2,3],[4,5,7],[6,8]]=>20
[5,7,8,2,1,3,6,4]=>[[1,2,3],[4,6,7],[5,8]]=>18
[3,2,7,8,1,4,6,5]=>[[1,3,4],[2,6,7],[5,8]]=>13
[6,7,8,1,3,2,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>14
[6,7,8,1,2,4,3,5]=>[[1,2,3,8],[4,5,6],[7]]=>15
[6,7,8,1,2,3,5,4]=>[[1,2,3,7],[4,5,6],[8]]=>16
[7,2,8,5,1,6,4,3]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[1,3,7,5,2,6,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[1,3,7,5,4,2,6,8]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[7,2,8,5,4,1,6,3]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[2,8,5,4,3,1,7,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[2,8,4,5,6,1,7,3]=>[[1,2,4,5,7],[3,8],[6]]=>12
[2,8,6,5,7,3,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[2,8,4,5,3,7,1,6]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[2,8,4,3,5,6,1,7]=>[[1,2,5,6,8],[3],[4],[7]]=>11
[7,2,8,4,5,6,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>14
[1,6,3,7,5,2,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>15
[6,2,3,8,5,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>14
[6,3,2,8,5,1,4,7]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[7,4,8,2,5,6,3,1]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[7,4,8,5,2,1,3,6]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[6,4,8,5,1,3,7,2]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[6,3,7,5,2,1,8,4]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[4,3,7,5,1,2,8,6]=>[[1,3,7],[2,4,8],[5,6]]=>11
[4,3,7,1,5,6,8,2]=>[[1,3,6,7],[2,5],[4,8]]=>9
[3,6,1,7,5,2,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>14
[3,4,1,2,7,6,8,5]=>[[1,2,5,7],[3,4,6],[8]]=>12
[3,4,2,1,7,5,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>12
[3,6,5,7,1,4,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[6,5,2,7,4,1,8,3]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[3,5,2,6,4,8,7,1]=>[[1,2,4,6],[3,5,7],[8]]=>16
[5,3,1,8,6,4,7,2]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[5,6,1,8,7,2,4,3]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[6,3,5,8,2,7,4,1]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[6,5,8,4,2,3,7,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[6,2,5,8,3,7,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[1,6,5,7,3,4,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[1,5,2,7,4,6,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[5,2,1,8,7,6,3,4]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[7,1,3,8,4,6,2,5]=>[[1,3,4,6],[2,5],[7,8]]=>15
[2,3,4,8,6,1,7,5]=>[[1,2,3,4,7],[5,8],[6]]=>14
[2,3,4,8,6,5,1,7]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[2,7,3,5,8,6,1,4]=>[[1,2,4,5],[3,6],[7,8]]=>18
[3,2,4,7,8,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>16
[1,5,4,6,2,7,3,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[5,2,4,7,1,8,3,6]=>[[1,3,4,6],[2,7,8],[5]]=>11
[5,3,6,4,1,8,7,2]=>[[1,3,6],[2,4,7],[5,8]]=>13
[5,3,6,1,4,8,2,7]=>[[1,3,6],[2,5,8],[4,7]]=>9
[7,3,5,6,8,4,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[6,3,5,1,8,2,7,4]=>[[1,3,5],[2,6,7],[4,8]]=>12
[2,6,1,5,8,4,7,3]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[2,7,6,5,8,3,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[5,7,1,6,3,8,4,2]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[3,2,4,1,7,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>10
[3,1,4,2,7,8,6,5]=>[[1,3,5,6],[2,4,7],[8]]=>11
[5,1,4,7,2,8,6,3]=>[[1,3,4,6],[2,7],[5,8]]=>12
[3,6,4,7,8,2,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[3,1,4,6,8,5,7,2]=>[[1,3,4,5],[2,6,7],[8]]=>14
[6,3,4,5,7,1,8,2]=>[[1,3,4,5,7],[2,8],[6]]=>10
[2,5,4,6,1,7,8,3]=>[[1,2,4,6,7],[3,8],[5]]=>11
[7,2,1,4,3,6,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>5
[7,3,4,1,2,6,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>6
[7,4,3,2,1,6,5,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[7,6,3,2,5,4,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[6,7,3,2,5,4,8,1]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[1,8,3,2,5,4,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>12
[1,8,4,5,2,3,7,6]=>[[1,2,4,7],[3,6,8],[5]]=>13
[7,3,5,1,6,2,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>8
[7,2,1,5,6,3,4,8]=>[[1,4,5,8],[2,6,7],[3]]=>7
[7,2,1,6,5,4,3,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[7,3,6,1,5,4,2,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[7,4,6,5,1,3,2,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[1,8,5,4,3,2,7,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[1,8,6,4,3,7,2,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[6,5,7,4,3,1,8,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[6,4,7,5,1,3,8,2]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[6,3,7,1,5,4,8,2]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[6,2,1,7,5,4,8,3]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[3,2,1,8,5,4,7,6]=>[[1,4,7],[2,5,8],[3,6]]=>7
[2,5,8,4,3,1,7,6]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[2,6,8,4,3,7,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[2,7,8,4,3,6,5,1]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[1,8,7,4,3,6,5,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[1,8,7,5,6,3,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[2,7,8,5,6,3,4,1]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[2,6,8,5,7,3,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[2,5,8,6,7,1,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>16
[2,4,8,6,1,7,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>15
[3,2,1,8,6,7,4,5]=>[[1,4,6],[2,5,8],[3,7]]=>8
[5,3,7,1,6,8,4,2]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[5,4,7,6,1,8,3,2]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[4,5,7,6,8,1,3,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[4,6,7,5,8,3,1,2]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[1,8,6,5,7,3,2,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[1,8,5,6,7,2,3,4]=>[[1,2,4,5],[3,7,8],[6]]=>15
[4,6,5,7,8,2,1,3]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[5,4,6,7,1,8,2,3]=>[[1,3,4,6],[2,7,8],[5]]=>11
[5,3,6,1,7,8,2,4]=>[[1,3,5,6],[2,7,8],[4]]=>10
[5,2,1,6,7,8,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>9
[6,2,1,5,7,3,8,4]=>[[1,4,5,7],[2,6,8],[3]]=>8
[6,3,5,1,7,2,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>9
[6,4,5,7,1,2,8,3]=>[[1,3,4,7],[2,6,8],[5]]=>10
[6,5,4,7,2,1,8,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[5,6,4,7,2,8,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[1,8,4,6,2,7,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>14
[1,8,3,2,6,7,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>13
[5,7,3,2,6,8,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[5,6,3,2,7,8,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[6,5,3,2,7,1,8,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[6,4,3,2,1,7,8,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[6,2,1,4,3,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>6
[4,6,3,2,8,7,1,5]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[4,7,3,2,8,6,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[1,8,3,2,7,6,5,4]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[1,8,4,7,2,6,5,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[3,6,4,8,2,7,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[3,4,5,8,1,2,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>19
[4,3,5,1,8,2,7,6]=>[[1,3,5],[2,6,7],[4,8]]=>12
[4,2,1,5,8,3,7,6]=>[[1,4,5],[2,6,7],[3,8]]=>11
[4,2,1,6,8,7,3,5]=>[[1,4,5],[2,6,8],[3,7]]=>10
[3,4,6,8,1,7,2,5]=>[[1,2,3,4],[5,6,8],[7]]=>18
[3,5,6,8,7,1,2,4]=>[[1,2,3,4],[5,7,8],[6]]=>17
[3,6,5,8,7,2,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[1,8,5,7,6,2,4,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[1,8,6,7,5,4,2,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[3,6,7,8,5,4,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[3,5,7,8,6,1,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[3,4,7,8,1,6,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[4,2,1,7,8,6,5,3]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[2,3,8,1,7,6,5,4]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[2,4,8,7,1,6,5,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[2,1,4,3,6,5,8,7,10,9,12,11]=>[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>6
[6,5,4,3,2,1,12,11,10,9,8,7]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[7,4,6,1,8,3,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[8,3,5,1,7,4,6,2]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[8,3,4,1,7,5,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[4,8,3,1,7,5,6,2]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[4,6,2,1,7,5,8,3]=>[[1,2,5,7],[3,6],[4,8]]=>13
[1,4,6,2,7,5,8,3]=>[[1,2,3,5,7],[4,6],[8]]=>14
[1,7,5,2,6,8,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[7,5,2,1,6,8,4,3]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[6,8,4,3,1,7,5,2]=>[[1,2],[3,6],[4,7],[5,8]]=>18
[3,6,8,4,1,7,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[3,6,7,5,1,8,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[7,5,6,1,8,3,4,2]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[3,4,6,5,7,1,8,2]=>[[1,2,3,5,7],[4,8],[6]]=>13
[4,7,5,6,1,8,3,2]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[6,7,5,1,8,4,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[6,8,4,1,7,5,3,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[6,7,5,3,1,8,4,2]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[8,4,2,1,6,7,5,3]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[1,8,4,2,6,7,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[1,5,3,2,7,6,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>13
[5,3,2,1,7,6,8,4]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[2,5,3,1,7,6,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>13
[2,8,4,1,6,7,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[2,7,5,1,6,8,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[2,4,6,1,7,5,8,3]=>[[1,2,3,5,7],[4,6],[8]]=>14
[4,7,1,6,5,8,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[4,8,2,6,5,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[4,6,1,2,7,5,8,3]=>[[1,2,5,7],[3,4,6],[8]]=>12
[7,5,1,2,6,8,4,3]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[8,4,1,2,6,7,5,3]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[5,3,1,2,7,6,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>9
[1,2,5,3,7,6,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>14
[4,3,1,2,7,6,8,5]=>[[1,4,5,7],[2,6],[3,8]]=>9
[3,5,1,2,7,6,8,4]=>[[1,2,5,7],[3,4,6],[8]]=>12
[6,7,1,5,8,2,3,4]=>[[1,2,5,8],[3,4,7],[6]]=>10
[2,7,6,1,5,8,3,4]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[2,3,5,1,7,6,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>14
[7,6,1,5,8,3,2,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[3,6,7,1,5,8,2,4]=>[[1,2,3,6],[4,5,8],[7]]=>16
[7,1,6,5,8,2,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[7,5,1,6,8,4,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[8,4,1,6,7,5,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[5,2,3,1,7,6,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>10
[3,5,2,1,7,6,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>13
[1,3,5,2,7,6,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>14
[1,7,6,2,5,8,3,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[7,6,2,1,5,8,3,4]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[8,3,1,5,7,6,2,4]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[6,2,4,1,7,5,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>10
[6,2,5,1,7,4,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[7,1,6,4,8,2,5,3]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[8,2,6,4,7,1,5,3]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[6,1,5,2,7,4,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[7,6,2,5,8,3,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[8,3,5,7,6,2,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[1,8,3,5,7,6,2,4]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[1,5,2,3,7,6,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>13
[5,2,1,3,7,6,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>9
[7,5,2,6,8,4,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[8,4,2,6,7,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[6,1,4,2,7,5,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>10
[8,2,6,5,7,1,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[3,6,8,2,5,7,1,4]=>[[1,2,3],[4,5,6],[7,8]]=>21
[8,3,2,5,7,6,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[5,1,3,2,7,6,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>10
[4,1,3,2,7,6,8,5]=>[[1,3,5,7],[2,6],[4,8]]=>10
[4,2,1,3,7,6,8,5]=>[[1,4,5,7],[2,6],[3,8]]=>9
[1,4,2,3,7,6,8,5]=>[[1,2,4,5,7],[3,6],[8]]=>13
[2,4,1,3,7,6,8,5]=>[[1,2,5,7],[3,4,6],[8]]=>12
[2,5,1,3,7,6,8,4]=>[[1,2,5,7],[3,4,6],[8]]=>12
[2,8,3,5,7,6,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[6,8,2,3,5,7,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>16
[6,7,1,3,5,8,2,4]=>[[1,2,5,6],[3,4],[7,8]]=>16
[8,3,5,7,6,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[5,1,2,3,7,6,8,4]=>[[1,3,4,5,7],[2,6],[8]]=>11
[3,1,2,4,7,6,8,5]=>[[1,3,4,5,7],[2,6],[8]]=>11
[10,8,9,5,6,7,1,2,3,4]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[10,8,9,4,5,6,1,2,3,7]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[10,7,8,5,6,9,1,2,3,4]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[10,7,8,4,5,9,1,2,3,6]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[10,6,7,4,5,8,1,2,3,9]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[10,7,8,3,4,9,1,2,5,6]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[10,6,7,3,4,8,1,2,5,9]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[9,8,10,5,6,7,1,2,3,4]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[9,8,10,4,5,6,1,2,3,7]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[9,7,10,5,6,8,1,2,3,4]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[9,7,10,4,5,8,1,2,3,6]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[9,6,10,4,5,7,1,2,3,8]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[9,7,10,3,4,8,1,2,5,6]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[9,6,10,3,4,7,1,2,5,8]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[8,7,9,5,6,10,1,2,3,4]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[8,7,9,4,5,10,1,2,3,6]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[8,6,9,4,5,10,1,2,3,7]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[7,6,8,4,5,9,1,2,3,10]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[8,7,9,3,4,10,1,2,5,6]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[8,6,9,3,4,10,1,2,5,7]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[7,6,8,3,4,9,1,2,5,10]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[9,6,10,5,7,8,1,2,3,4]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[9,6,10,4,7,8,1,2,3,5]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[9,5,10,4,6,7,1,2,3,8]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[9,6,10,3,7,8,1,2,4,5]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[9,5,10,3,6,7,1,2,4,8]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[8,6,9,5,7,10,1,2,3,4]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[8,6,9,4,7,10,1,2,3,5]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[8,5,9,4,6,10,1,2,3,7]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[7,5,8,4,6,9,1,2,3,10]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[8,6,9,3,7,10,1,2,4,5]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[8,5,9,3,6,10,1,2,4,7]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[7,5,8,3,6,9,1,2,4,10]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[8,4,9,3,5,10,1,2,6,7]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[7,4,8,3,5,9,1,2,6,10]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[9,6,10,2,7,8,1,3,4,5]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[9,5,10,2,6,7,1,3,4,8]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[8,6,9,2,7,10,1,3,4,5]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[8,5,9,2,6,10,1,3,4,7]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[7,5,8,2,6,9,1,3,4,10]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[8,4,9,2,5,10,1,3,6,7]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[7,4,8,2,5,9,1,3,6,10]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[8,1,2,4,3,6,5,7]=>[[1,3,4,6,8],[2,7],[5]]=>8
[8,1,3,5,6,2,7,4]=>[[1,3,4,5,7],[2,8],[6]]=>10
[8,1,3,4,2,6,7,5]=>[[1,3,4,6,7],[2,8],[5]]=>9
[8,1,3,2,4,5,7,6]=>[[1,3,5,6,7],[2,8],[4]]=>8
[2,7,8,3,4,5,6,1]=>[[1,2,3,6,7],[4,5],[8]]=>13
[2,6,3,8,4,5,7,1]=>[[1,2,4,6,7],[3,5],[8]]=>12
[6,3,2,1,4,5,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[7,3,1,4,2,6,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>6
[7,4,1,5,6,8,2,3]=>[[1,4,5,6],[2,7,8],[3]]=>9
[4,7,8,5,6,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>19
[3,7,8,5,6,2,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[3,7,8,4,2,6,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[3,7,8,2,4,5,1,6]=>[[1,2,3,8],[4,5,6],[7]]=>15
[3,6,2,8,4,5,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>14
[2,3,6,7,4,5,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>15
[3,5,2,4,8,6,1,7]=>[[1,2,5,8],[3,4,6],[7]]=>11
[3,5,4,2,8,7,1,6]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[4,6,5,8,7,1,2,3]=>[[1,2,4],[3,5,8],[6,7]]=>18
[6,4,5,1,7,8,2,3]=>[[1,3,5,6],[2,7,8],[4]]=>10
[7,4,1,2,3,8,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>6
[6,2,4,1,3,7,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>6
[2,6,4,8,3,7,5,1]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[2,6,5,8,7,3,4,1]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[6,2,5,1,7,3,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>8
[6,5,2,1,8,3,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[2,5,6,7,8,3,4,1]=>[[1,2,3,4,5],[6,7],[8]]=>17
[2,4,6,7,3,8,5,1]=>[[1,2,3,4,6],[5,7],[8]]=>16
[4,2,6,7,3,1,5,8]=>[[1,3,4,8],[2,5,7],[6]]=>10
[4,7,8,2,3,1,5,6]=>[[1,2,3,8],[4,5,7],[6]]=>14
[4,7,8,3,2,1,6,5]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[5,6,4,8,1,7,2,3]=>[[1,2,4],[3,6,8],[5,7]]=>16
[5,6,3,8,1,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>17
[4,2,5,3,7,1,6,8]=>[[1,3,5,8],[2,4,7],[6]]=>8
[4,3,6,7,2,1,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[3,4,6,7,2,8,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>15
[3,4,5,2,7,8,1,6]=>[[1,2,3,5,6],[4,8],[7]]=>14
[3,4,2,5,6,8,1,7]=>[[1,2,4,5,6],[3,8],[7]]=>13
[5,2,7,8,6,4,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[5,1,2,7,8,6,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[4,7,1,8,6,5,2,3]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[4,7,1,2,8,6,5,3]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[4,6,8,1,2,7,5,3]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[6,8,7,1,5,3,2,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[6,8,7,3,5,1,2,4]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[7,8,1,6,3,5,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[7,8,1,3,6,5,2,4]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[7,8,3,6,5,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[4,7,2,8,6,1,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[1,7,3,4,8,6,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[4,2,7,1,8,6,5,3]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[7,8,2,3,6,5,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[8,5,7,1,6,2,3,4]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[8,5,7,1,2,6,3,4]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[6,8,2,7,1,3,5,4]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[6,8,7,2,5,3,1,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[6,2,4,8,7,1,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[1,6,8,3,7,4,5,2]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[1,6,8,3,4,7,5,2]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[6,2,4,8,1,7,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[6,8,7,2,3,5,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[6,8,2,1,7,3,5,4]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[8,5,7,2,1,6,3,4]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[8,5,7,1,2,3,6,4]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[8,7,6,2,1,4,3,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,5,7,2,3,1,6,4]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[5,8,4,2,7,1,6,3]=>[[1,2],[3,5],[4,7],[6,8]]=>19
[1,8,7,5,3,4,6,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>16
[1,8,7,3,5,4,6,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>17
[8,2,5,4,7,1,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[8,5,2,7,3,1,6,4]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[8,7,6,2,4,3,1,5]=>[[1,5,8],[2],[3],[4],[6],[7]]=>17
[8,7,6,1,2,4,3,5]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[8,7,6,1,4,2,3,5]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[8,7,6,4,1,3,2,5]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16
[5,8,4,7,2,1,6,3]=>[[1,2],[3,4],[5,7],[6,8]]=>22
[1,8,7,5,4,3,6,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>21
[1,6,8,4,3,7,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[6,8,7,3,2,5,1,4]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[6,8,1,7,3,2,5,4]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[8,5,7,3,1,6,2,4]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[8,5,7,1,3,2,6,4]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[8,5,7,3,1,2,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[5,8,4,7,1,2,6,3]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[5,8,4,1,7,2,6,3]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[5,8,4,7,1,6,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[8,1,2,6,5,7,4,3]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[8,2,5,6,7,4,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[4,8,5,7,1,6,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[4,8,5,7,1,2,6,3]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[4,8,5,1,7,2,6,3]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[8,5,3,1,7,2,6,4]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[8,5,3,7,1,2,6,4]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[6,8,1,3,7,2,5,4]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[4,6,2,8,1,7,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[1,6,4,8,3,7,5,2]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[1,8,7,4,5,3,6,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>17
[4,8,5,7,2,1,6,3]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[8,5,3,7,2,1,6,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>15
[8,7,6,3,1,4,2,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,7,6,1,3,2,4,5]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[8,5,3,2,7,1,6,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>14
[4,8,5,2,7,1,6,3]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[1,8,7,4,3,5,6,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>16
[1,8,7,3,4,5,6,2]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[8,2,4,5,7,1,6,3]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[8,5,2,3,7,1,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[6,3,1,5,4,2,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[8,3,1,5,2,7,6,4]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[8,5,4,2,1,7,3,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,5,4,2,1,7,6,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[6,5,4,2,1,3,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[6,5,4,2,3,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[6,3,2,5,1,4,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[6,5,4,3,1,2,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[6,5,4,1,3,2,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[8,5,4,1,2,7,6,3]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[8,7,4,1,6,3,2,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[8,7,4,1,6,3,5,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[8,7,4,1,6,5,3,2]=>[[1,5],[2,6],[3],[4],[7],[8]]=>20
[8,5,4,1,3,7,6,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[8,5,4,3,1,7,6,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[8,3,2,5,1,7,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[2,1,8,5,3,7,6,4]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[8,3,2,5,1,7,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[8,5,4,3,1,7,2,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,5,4,1,3,7,2,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[8,7,4,1,6,5,2,3]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[8,7,4,1,6,2,5,3]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[8,7,6,5,2,1,4,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[8,7,4,3,6,2,1,5]=>[[1,5],[2,8],[3],[4],[6],[7]]=>18
[8,3,2,7,6,4,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[2,1,8,7,6,4,3,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[2,1,8,7,6,4,5,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[8,3,2,7,6,4,5,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[8,7,4,3,6,2,5,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[8,7,6,5,2,4,3,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>23
[8,5,4,2,3,7,6,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[8,7,4,2,6,5,3,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>20
[8,7,4,2,6,3,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[8,7,4,2,6,3,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[8,3,1,7,6,4,2,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[8,3,1,7,6,4,5,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[8,3,1,7,6,5,4,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>22
[8,3,1,5,4,7,6,2]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[8,3,1,5,4,7,2,6]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[8,3,1,7,6,5,2,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[8,3,1,7,6,2,5,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[8,7,4,2,6,1,5,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>14
[8,7,4,2,6,5,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[8,5,4,2,3,7,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[8,3,2,5,4,7,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[2,1,8,5,4,7,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[8,3,2,7,6,5,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[8,7,4,3,6,5,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[8,7,6,5,3,1,4,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[8,7,6,5,1,3,2,4]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16
[8,7,6,5,1,3,4,2]=>[[1,6,7],[2],[3],[4],[5],[8]]=>17
[8,7,6,5,1,4,3,2]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>23
[8,7,6,5,4,1,3,2]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>22
[8,7,4,3,6,1,5,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>14
[8,3,2,7,6,1,5,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[2,1,8,7,6,3,5,4]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[8,3,2,7,6,1,4,5]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[8,7,6,5,1,4,2,3]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16
[8,7,6,5,1,2,4,3]=>[[1,6,7],[2],[3],[4],[5],[8]]=>17
[7,3,5,1,8,4,6,2]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[7,3,4,1,8,5,6,2]=>[[1,3,5,7],[2,6],[4,8]]=>10
[4,5,6,2,1,8,7,3]=>[[1,2,3,6],[4,7],[5,8]]=>16
[1,6,5,2,7,4,3,8]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[7,4,3,1,8,6,5,2]=>[[1,5],[2,6],[3,7],[4,8]]=>12
[7,6,5,1,8,4,3,2]=>[[1,5],[2,6],[3],[4],[7],[8]]=>20
[7,6,4,1,8,5,3,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[6,4,2,1,8,7,5,3]=>[[1,5],[2,6],[3,7],[4,8]]=>12
[1,6,4,2,7,5,3,8]=>[[1,2,5,8],[3,6],[4,7]]=>12
[1,5,3,2,7,6,4,8]=>[[1,2,5,8],[3,6],[4,7]]=>12
[5,3,2,1,8,7,6,4]=>[[1,5],[2,6],[3,7],[4,8]]=>12
[2,5,3,1,7,8,6,4]=>[[1,2,5,6],[3,7],[4,8]]=>14
[2,6,4,1,7,8,5,3]=>[[1,2,5,6],[3,7],[4,8]]=>14
[2,6,5,1,7,8,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[4,5,7,1,6,8,2,3]=>[[1,2,3,6],[4,5,8],[7]]=>16
[6,5,1,2,8,4,3,7]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[6,4,1,2,8,5,3,7]=>[[1,4,5,8],[2,6],[3,7]]=>8
[5,3,1,2,8,6,4,7]=>[[1,4,5,8],[2,6],[3,7]]=>8
[4,3,1,2,8,6,5,7]=>[[1,4,5,8],[2,6],[3,7]]=>8
[6,1,2,5,8,3,4,7]=>[[1,3,4,5,8],[2,7],[6]]=>9
[7,1,3,4,8,2,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>9
[7,1,5,6,8,2,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>12
[2,6,1,5,7,8,3,4]=>[[1,2,5,6],[3,4,8],[7]]=>12
[7,4,1,6,8,5,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[5,2,3,1,8,6,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>10
[3,5,2,1,6,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>14
[1,6,2,5,7,3,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>11
[6,2,1,5,8,7,3,4]=>[[1,4,5],[2,6,8],[3,7]]=>10
[7,3,1,5,8,6,2,4]=>[[1,4,5],[2,6,8],[3,7]]=>10
[6,2,4,1,8,5,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>10
[6,2,5,1,8,4,7,3]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[7,3,1,4,8,6,2,5]=>[[1,4,5],[2,6,8],[3,7]]=>10
[6,2,1,4,8,7,3,5]=>[[1,4,5],[2,6,8],[3,7]]=>10
[1,6,2,4,7,3,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>11
[5,2,1,3,8,7,4,6]=>[[1,4,5,8],[2,6],[3,7]]=>8
[7,4,1,3,8,5,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[7,5,1,3,8,4,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[3,6,7,1,4,8,2,5]=>[[1,2,3,6],[4,5,8],[7]]=>16
[7,6,1,4,8,3,2,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[4,2,1,3,8,7,5,6]=>[[1,4,5,8],[2,6],[3,7]]=>8
[2,6,1,4,7,8,3,5]=>[[1,2,5,6],[3,4,8],[7]]=>12
[7,1,4,6,8,2,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>12
[7,1,3,5,8,2,4,6]=>[[1,3,4,5],[2,7,8],[6]]=>12
[6,1,2,4,8,3,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>9
[5,2,3,1,6,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>9
[7,4,5,2,3,1,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[8,6,7,3,5,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[7,3,5,2,4,1,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[6,3,5,2,4,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[5,2,4,1,6,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>9
[4,1,6,3,5,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>9
[6,3,4,1,5,2,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>9
[5,2,6,3,4,1,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>9
[5,2,7,3,4,1,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>9
[5,2,8,6,7,3,4,1]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[6,2,8,5,7,3,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[6,2,7,3,4,1,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>9
[7,3,4,1,5,2,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[4,1,7,3,5,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>9
[3,1,7,4,5,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>9
[2,1,7,4,5,3,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>9
[3,1,8,6,7,4,5,2]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[4,1,8,6,7,3,5,2]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[8,6,7,3,4,1,5,2]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[8,5,7,3,4,1,6,2]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[8,5,6,2,7,3,4,1]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[8,4,7,3,5,1,6,2]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[5,1,8,4,7,3,6,2]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[4,1,8,5,7,3,6,2]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[3,1,8,5,7,4,6,2]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[2,1,8,5,7,4,6,3]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[2,1,7,4,6,3,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>9
[3,1,7,4,6,2,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>9
[4,1,7,3,6,2,8,5]=>[[1,3,5,7],[2,4],[6,8]]=>13
[5,1,7,3,6,2,8,4]=>[[1,3,5,7],[2,4],[6,8]]=>13
[6,2,7,3,5,1,8,4]=>[[1,3,5,7],[2,4],[6,8]]=>13
[6,2,8,4,7,3,5,1]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[8,4,7,3,6,2,5,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[7,3,6,2,5,1,8,4]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[6,2,5,1,7,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>9
[5,2,4,1,7,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[6,2,4,1,7,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>9
[8,5,7,3,6,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[8,5,7,4,6,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[7,4,6,2,3,1,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[6,2,3,1,7,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>9
[5,2,3,1,7,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[4,2,3,1,7,5,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[3,1,4,2,8,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>10
[6,2,3,1,8,5,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>10
[8,5,6,2,3,1,7,4]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[7,4,8,5,6,2,3,1]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[7,3,8,5,6,2,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[8,5,6,2,4,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[5,2,4,1,8,6,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>10
[4,1,5,2,8,6,7,3]=>[[1,3,5,7],[2,4,6],[8]]=>10
[3,1,5,2,8,6,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>10
[2,1,6,3,8,5,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>10
[3,1,6,2,8,5,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>10
[4,1,6,2,8,5,7,3]=>[[1,3,5,7],[2,4,6],[8]]=>10
[5,1,6,2,8,4,7,3]=>[[1,3,5,7],[2,4,6],[8]]=>10
[8,4,6,2,5,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[7,3,8,4,6,2,5,1]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[6,2,7,3,8,4,5,1]=>[[1,3,5,7],[2,4,6],[8]]=>10
[8,4,5,1,6,2,7,3]=>[[1,3,5,7],[2,6,8],[4]]=>9
[5,1,8,4,6,2,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>13
[4,1,8,5,6,2,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>9
[3,1,8,5,6,2,7,4]=>[[1,3,5,7],[2,4,8],[6]]=>9
[2,1,8,5,6,3,7,4]=>[[1,3,5,7],[2,4,8],[6]]=>9
[2,1,7,4,8,5,6,3]=>[[1,3,5,7],[2,4,6],[8]]=>10
[3,1,7,4,8,5,6,2]=>[[1,3,5,7],[2,4,6],[8]]=>10
[4,1,7,3,8,5,6,2]=>[[1,3,5,7],[2,4,6],[8]]=>10
[7,3,8,4,5,1,6,2]=>[[1,3,5,7],[2,4],[6,8]]=>13
[8,4,5,1,7,3,6,2]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[7,3,6,2,8,4,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[7,8,5,6,1,3,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[7,8,1,3,6,2,5,4]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[1,3,8,4,7,2,5,6]=>[[1,2,3,5,8],[4,7],[6]]=>12
[3,6,1,4,7,2,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>10
[4,6,1,2,5,7,3,8]=>[[1,2,5,6,8],[3,4],[7]]=>10
[1,4,8,2,5,7,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>16
[7,8,2,4,5,6,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>16
[7,8,1,5,4,6,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[7,8,2,1,6,3,4,5]=>[[1,2,7,8],[3,5],[4,6]]=>10
[7,8,3,5,6,4,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[7,8,1,4,2,3,6,5]=>[[1,2,6,7],[3,4],[5,8]]=>14
[7,8,5,1,4,2,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[7,8,4,5,3,1,6,2]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[1,5,8,4,3,2,7,6]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[5,6,1,4,3,2,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[2,6,4,8,3,7,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[1,4,6,8,3,7,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[2,4,8,5,3,1,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[2,5,8,1,4,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[3,5,8,4,7,6,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[1,6,2,4,7,3,8,5]=>[[1,2,4,5,7],[3,8],[6]]=>12
[5,6,2,1,4,7,8,3]=>[[1,2,6,7],[3,5],[4,8]]=>12
[4,6,2,5,3,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[4,7,5,1,3,6,8,2]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[7,5,3,6,2,4,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[5,7,3,6,1,4,8,2]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[5,3,6,7,2,1,8,4]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[6,1,7,5,2,4,8,3]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[6,3,1,2,4,5,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>7
[1,4,7,2,5,3,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>15
[4,6,7,8,3,5,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>20
[3,6,1,8,4,2,5,7]=>[[1,2,4,8],[3,5,7],[6]]=>13
[1,6,7,5,8,2,4,3]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[3,5,6,7,8,1,4,2]=>[[1,2,3,4,5],[6,7],[8]]=>17
[3,6,5,7,8,2,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[5,2,7,6,1,4,3,8]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[2,5,7,6,8,1,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>16
[2,7,5,6,8,4,1,3]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[2,1,6,8,4,5,3,7]=>[[1,3,4,8],[2,5,6],[7]]=>11
[2,7,1,8,5,3,4,6]=>[[1,2,4,8],[3,5,7],[6]]=>13
[3,7,6,8,5,4,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[4,3,8,5,6,7,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>14
[4,2,8,1,6,3,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>8
[3,1,8,5,4,6,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[3,2,8,4,5,6,1,7]=>[[1,3,5,6,8],[2,4],[7]]=>8
[3,4,2,8,6,1,7,5]=>[[1,2,4,7],[3,5],[6,8]]=>16
[3,4,7,1,5,2,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[4,3,7,8,1,2,6,5]=>[[1,3,4],[2,6,7],[5,8]]=>13
[1,7,3,8,5,2,6,4]=>[[1,2,4,7],[3,5],[6,8]]=>16
[4,1,8,3,6,2,5,7]=>[[1,3,5,8],[2,4],[6,7]]=>12
[5,7,8,6,3,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[5,7,8,6,1,3,4,2]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[7,6,5,8,1,3,4,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[1,6,4,3,8,2,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[7,1,3,4,8,2,6,5]=>[[1,3,4,5],[2,7],[6,8]]=>13
[3,6,5,4,1,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[2,4,5,1,7,8,6,3]=>[[1,2,3,5,6],[4,7],[8]]=>15
[2,6,3,4,5,8,1,7]=>[[1,2,4,5,6],[3,8],[7]]=>13
[2,6,4,1,8,3,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>16
[7,3,6,4,8,5,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[7,2,1,4,8,3,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>7
[7,1,6,5,3,8,4,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[7,2,5,6,3,8,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[6,5,2,7,1,8,4,3]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[5,6,2,7,3,1,4,8]=>[[1,2,4,8],[3,5,7],[6]]=>13
[5,6,7,4,2,8,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[5,7,6,4,1,8,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[6,7,1,5,2,8,3,4]=>[[1,2,6,8],[3,4,7],[5]]=>9
[1,7,5,2,4,8,3,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[6,1,5,2,8,3,4,7]=>[[1,3,5,7,8],[2,6],[4]]=>6
[6,7,5,3,8,4,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[1,6,5,4,2,3,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[7,1,5,3,4,2,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[7,6,1,5,3,2,8,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[7,5,6,4,1,2,8,3]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[6,7,5,4,3,1,8,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[7,5,2,4,3,1,6,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[7,4,6,1,2,5,3,8]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[7,1,4,2,5,3,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>6
[6,8,1,4,2,5,7,3]=>[[1,2,6,7],[3,4],[5,8]]=>14
[1,6,4,2,5,7,3,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,6,3,7,5,4,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[6,8,1,3,7,5,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[7,1,3,5,6,4,2,8]=>[[1,3,4,5,8],[2],[6],[7]]=>12
[7,3,1,6,4,5,2,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[7,4,2,6,5,1,3,8]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[7,4,6,3,1,5,2,8]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[7,2,4,1,5,3,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>6
[7,2,3,5,4,1,6,8]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[6,8,1,2,3,4,7,5]=>[[1,2,5,6,7],[3,4],[8]]=>11
[1,5,7,2,3,8,6,4]=>[[1,2,3,6],[4,5,7],[8]]=>17
[5,1,8,2,3,6,7,4]=>[[1,3,5,6,7],[2,4],[8]]=>9
[5,8,2,3,7,6,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[6,2,8,1,3,7,4,5]=>[[1,3,6,8],[2,5],[4,7]]=>8
[6,8,2,3,5,4,7,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[6,8,2,4,1,5,7,3]=>[[1,2,6,7],[3,4],[5,8]]=>14
[6,8,3,1,2,4,7,5]=>[[1,2,6,7],[3,5],[4,8]]=>12
[2,6,4,1,5,7,3,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[2,6,3,5,7,1,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>11
[2,5,1,7,8,3,6,4]=>[[1,2,4,5],[3,6,7],[8]]=>17
[2,5,3,6,8,4,7,1]=>[[1,2,4,5],[3,6,7],[8]]=>17
[2,1,4,7,8,5,6,3]=>[[1,3,4,5],[2,6,7],[8]]=>14
[2,4,7,6,8,5,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[2,5,3,7,6,1,8,4]=>[[1,2,4,7],[3,5],[6,8]]=>16
[2,5,7,8,1,4,6,3]=>[[1,2,3,4],[5,6,7],[8]]=>19
[3,5,7,4,1,6,2,8]=>[[1,2,3,8],[4,6],[5,7]]=>14
[5,3,4,1,8,6,7,2]=>[[1,3,5,7],[2,6],[4,8]]=>10
[5,2,8,4,6,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>13
[5,2,1,8,6,3,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>7
[4,2,8,6,5,3,7,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[4,2,8,5,7,6,3,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[1,4,2,7,5,8,6,3]=>[[1,2,4,6],[3,5,7],[8]]=>16
[4,1,8,6,7,5,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[5,3,8,7,6,2,4,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[5,8,4,7,6,2,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[5,8,7,4,3,6,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[6,4,8,3,1,7,2,5]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[6,4,2,8,7,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[6,3,8,7,2,5,1,4]=>[[1,3],[2,4],[5,6],[7,8]]=>22
[5,8,3,7,1,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[5,1,3,8,6,7,2,4]=>[[1,3,4,6],[2,5],[7,8]]=>15
[1,5,3,7,8,6,2,4]=>[[1,2,4,5],[3,6],[7,8]]=>18
[1,5,7,6,4,2,8,3]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[5,8,7,4,1,6,2,3]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[6,4,8,1,2,7,3,5]=>[[1,3,6,8],[2,5],[4,7]]=>8
[6,8,5,1,2,3,7,4]=>[[1,2,6,7],[3,5],[4,8]]=>12
[6,8,5,2,4,3,7,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[6,8,5,3,1,2,7,4]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[4,5,1,2,7,6,3,8]=>[[1,2,5,8],[3,4,6],[7]]=>11
[4,5,1,2,6,8,7,3]=>[[1,2,5,6],[3,4,7],[8]]=>13
[3,5,6,1,8,4,7,2]=>[[1,2,3,5],[4,6,7],[8]]=>18
[3,5,7,1,2,8,6,4]=>[[1,2,3,6],[4,5,7],[8]]=>17
[3,6,2,7,5,1,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>15
[4,2,6,1,7,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>8
[4,6,3,1,2,7,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>8
[4,5,3,1,7,6,2,8]=>[[1,2,5,8],[3,6],[4,7]]=>12
[4,2,5,7,1,6,3,8]=>[[1,3,4,8],[2,6],[5,7]]=>10
[3,5,2,7,8,1,6,4]=>[[1,2,4,5],[3,7],[6,8]]=>16
[3,1,4,7,5,6,2,8]=>[[1,3,4,6,8],[2,5],[7]]=>9
[3,4,6,5,8,7,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>19
[3,1,4,5,8,6,7,2]=>[[1,3,4,5,7],[2,6],[8]]=>11
[3,4,6,8,5,2,7,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[3,5,6,2,8,4,7,1]=>[[1,2,3,5],[4,6,7],[8]]=>18
[4,2,5,6,1,8,7,3]=>[[1,3,4,6],[2,7],[5,8]]=>12
[4,5,3,1,6,8,7,2]=>[[1,2,5,6],[3,7],[4,8]]=>14
[2,1,7,5,8,6,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[1,2,7,5,3,8,6,4]=>[[1,2,3,6],[4,7],[5,8]]=>16
[4,1,2,7,3,8,6,5]=>[[1,3,4,6],[2,5,7],[8]]=>13
[6,4,1,7,5,2,3,8]=>[[1,4,7,8],[2,5],[3,6]]=>6
[6,1,3,7,5,2,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>13
[3,1,2,6,8,5,4,7]=>[[1,3,4,5],[2,6,8],[7]]=>13
[3,7,1,2,5,4,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>11
[1,3,7,2,4,8,6,5]=>[[1,2,3,6],[4,5,7],[8]]=>17
[2,4,1,7,8,6,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[3,4,7,5,1,8,6,2]=>[[1,2,3,6],[4,7],[5,8]]=>16
[2,7,4,1,5,8,6,3]=>[[1,2,5,6],[3,7],[4,8]]=>14
[2,3,7,1,5,8,6,4]=>[[1,2,3,6],[4,5,7],[8]]=>17
[5,2,8,1,3,7,4,6]=>[[1,3,6,8],[2,5],[4,7]]=>8
[2,1,6,8,3,4,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>12
[2,6,8,3,1,5,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>15
[2,8,6,4,1,5,7,3]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[3,6,4,8,5,1,7,2]=>[[1,2,4,7],[3,5],[6,8]]=>16
[6,3,7,4,5,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>13
[2,6,3,7,5,8,1,4]=>[[1,2,4,6],[3,5],[7,8]]=>17
[5,2,1,7,8,3,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>7
[4,7,2,3,6,8,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>16
[5,2,7,3,6,8,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>14
[5,7,4,6,2,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[5,7,3,4,6,1,8,2]=>[[1,2,5,7],[3,4],[6,8]]=>15
[5,3,8,4,6,1,7,2]=>[[1,3,5,7],[2,4],[6,8]]=>13
[8,5,2,4,1,6,7,3]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[8,2,3,5,1,6,7,4]=>[[1,3,4,6,7],[2,8],[5]]=>9
[4,2,8,3,6,7,1,5]=>[[1,3,5,6],[2,4],[7,8]]=>14
[2,4,8,1,7,3,5,6]=>[[1,2,3,8],[4,5,7],[6]]=>14
[8,4,1,3,6,2,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[4,8,3,1,7,2,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>10
[5,2,8,4,7,1,6,3]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[5,8,4,7,3,1,6,2]=>[[1,2],[3,4],[5,7],[6,8]]=>22
[4,6,8,3,1,7,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[6,3,8,2,7,1,5,4]=>[[1,3],[2,5],[4,7],[6,8]]=>15
[6,3,1,8,2,4,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>8
[5,3,8,1,2,6,4,7]=>[[1,3,6,8],[2,5],[4,7]]=>8
[5,7,4,1,6,2,3,8]=>[[1,2,7,8],[3,5],[4,6]]=>10
[8,5,4,1,2,6,3,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[5,1,8,4,2,7,3,6]=>[[1,3,6,8],[2,4],[5,7]]=>11
[1,6,2,8,5,3,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>16
[6,8,5,3,1,7,4,2]=>[[1,2],[3,6],[4,7],[5,8]]=>18
[8,4,5,1,2,6,3,7]=>[[1,3,6,8],[2,5,7],[4]]=>6
[5,6,3,7,1,2,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>12
[1,6,3,7,2,8,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>14
[6,3,2,7,8,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[4,5,7,8,3,1,6,2]=>[[1,2,3,4],[5,7],[6,8]]=>18
[4,7,2,5,8,1,6,3]=>[[1,2,5],[3,4,7],[6,8]]=>16
[8,1,3,4,6,2,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>9
[3,8,2,4,6,7,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>16
[3,5,6,8,2,7,1,4]=>[[1,2,3,4],[5,6],[7,8]]=>20
[2,4,5,6,8,1,7,3]=>[[1,2,3,4,5],[6,7],[8]]=>17
[4,8,3,5,6,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>15
[5,6,2,3,7,8,1,4]=>[[1,2,5,6],[3,4,8],[7]]=>12
[5,8,7,3,4,1,2,6]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[6,8,7,3,4,1,2,5]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[6,8,4,7,1,5,3,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[6,8,4,7,2,5,3,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[5,4,8,7,2,6,3,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[5,4,8,7,1,6,3,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[5,3,8,7,6,1,2,4]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[4,3,8,7,6,1,2,5]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[4,8,3,7,5,1,2,6]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[8,3,4,6,5,1,2,7]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[3,8,4,7,5,1,2,6]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[3,4,8,7,6,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[3,5,8,7,6,1,2,4]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[4,5,8,7,6,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[4,5,8,7,1,6,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[4,5,8,7,2,6,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[3,5,8,2,7,6,4,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[3,5,8,1,7,6,4,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[2,5,8,1,7,6,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[2,5,8,7,1,6,3,4]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[2,4,8,7,1,6,3,5]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[2,8,4,7,1,5,3,6]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[8,2,4,6,1,5,3,7]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[8,1,4,6,2,5,3,7]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[1,8,4,7,2,5,3,6]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[1,4,8,7,2,6,3,5]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[1,5,8,7,2,6,3,4]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[1,5,8,2,7,6,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[2,5,8,3,7,6,4,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[1,4,2,8,7,6,5,3]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[1,3,8,2,7,6,4,5]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[1,8,3,2,7,5,4,6]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[8,1,3,2,6,5,4,7]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[8,2,3,1,6,5,4,7]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[2,8,3,1,7,5,4,6]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[2,3,8,1,7,6,4,5]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[3,4,1,8,7,6,5,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[4,3,1,8,7,6,5,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[4,2,1,8,7,6,5,3]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[3,8,2,1,7,5,4,6]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[8,3,2,1,6,5,4,7]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[8,4,2,6,1,5,3,7]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[4,2,8,7,1,6,3,5]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[5,2,8,7,1,6,3,4]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[5,2,8,1,7,6,4,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[5,3,8,1,7,6,4,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[5,3,8,2,7,6,4,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[6,8,3,2,7,5,4,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[6,8,3,1,7,5,4,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[6,8,2,1,7,5,4,3]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[6,8,2,7,1,5,3,4]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[6,8,7,2,1,4,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[8,5,6,1,2,4,3,7]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[5,8,7,1,2,4,3,6]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[6,8,1,2,7,5,4,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[6,8,2,3,7,5,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[5,2,8,3,7,6,4,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[5,1,8,3,7,6,4,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[5,1,8,7,2,6,3,4]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[4,1,8,7,2,6,3,5]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[4,8,1,7,2,5,3,6]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[8,4,1,6,2,5,3,7]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[8,3,1,2,6,5,4,7]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[3,8,1,2,7,5,4,6]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[3,1,8,2,7,6,4,5]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[3,1,2,8,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[4,1,3,8,7,6,5,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[3,1,4,8,7,6,5,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[2,1,8,3,7,6,4,5]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[2,8,1,3,7,5,4,6]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[8,2,1,3,6,5,4,7]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[8,1,2,3,6,5,4,7]=>[[1,3,4,5,8],[2],[6],[7]]=>12
[1,8,2,3,7,5,4,6]=>[[1,2,4,5,8],[3],[6],[7]]=>13
[1,2,8,3,7,6,4,5]=>[[1,2,3,5,8],[4],[6],[7]]=>14
[1,4,3,6,8,2,5,7]=>[[1,2,4,5],[3,7,8],[6]]=>15
[3,1,6,2,5,8,4,7]=>[[1,3,5,6],[2,4,8],[7]]=>10
[3,5,1,8,2,4,7,6]=>[[1,2,4,7],[3,5,6],[8]]=>15
[1,4,5,2,8,3,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>18
[1,4,2,6,5,8,3,7]=>[[1,2,4,6],[3,5,8],[7]]=>15
[1,5,4,2,6,8,3,7]=>[[1,2,5,6],[3,7,8],[4]]=>13
[3,1,6,5,8,2,4,7]=>[[1,3,5,8],[2,4,7],[6]]=>8
[1,6,4,2,5,8,3,7]=>[[1,2,5,6],[3,7,8],[4]]=>13
[1,5,2,6,4,8,3,7]=>[[1,2,4,6],[3,5,8],[7]]=>15
[1,2,6,5,4,8,3,7]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[1,2,5,4,7,3,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>13
[4,1,2,6,3,8,7,5]=>[[1,3,4,6],[2,5,7],[8]]=>13
[7,1,5,4,2,8,3,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[1,4,7,5,2,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>15
[7,1,3,5,2,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>11
[7,2,5,1,8,3,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>8
[1,4,5,2,8,7,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>17
[1,6,4,2,8,3,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>13
[1,4,2,8,3,7,6,5]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[1,2,5,3,8,7,6,4]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[1,2,8,6,5,3,7,4]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[1,5,2,8,6,3,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>14
[1,6,4,2,8,7,3,5]=>[[1,2,5,8],[3,6],[4,7]]=>12
[6,2,1,8,7,3,4,5]=>[[1,4,7,8],[2,5],[3,6]]=>6
[7,6,2,1,8,3,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[7,3,1,6,2,8,4,5]=>[[1,4,6,8],[2,5,7],[3]]=>5
[1,7,6,4,2,8,3,5]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[1,7,5,2,6,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>12
[1,6,2,7,5,3,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>14
[1,2,7,6,5,3,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[1,2,6,5,3,8,7,4]=>[[1,2,3,6],[4,7],[5,8]]=>16
[1,5,2,6,3,8,7,4]=>[[1,2,4,6],[3,5,7],[8]]=>16
[1,5,2,7,6,3,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>14
[1,6,5,2,7,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>12
[1,5,7,4,2,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>15
[4,1,2,8,6,3,7,5]=>[[1,3,4,7],[2,5,8],[6]]=>11
[3,1,8,6,2,4,7,5]=>[[1,3,6,7],[2,4,8],[5]]=>8
[4,3,7,1,8,2,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>8
[8,3,1,6,2,4,7,5]=>[[1,4,6,7],[2,5,8],[3]]=>6
[7,1,8,3,2,4,6,5]=>[[1,3,6,7],[2,4],[5,8]]=>12
[1,8,7,3,2,4,6,5]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[1,4,2,8,7,3,6,5]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[1,7,4,2,8,3,6,5]=>[[1,2,5,7],[3,6],[4,8]]=>13
[8,1,5,4,2,7,3,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[1,4,8,5,2,7,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>15
[8,5,3,1,7,2,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[8,6,2,1,7,3,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[1,8,6,4,2,7,3,5]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[1,8,5,2,6,3,7,4]=>[[1,2,5,7],[3,6,8],[4]]=>12
[1,5,2,7,3,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>16
[1,2,8,5,3,7,6,4]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[1,2,6,3,8,7,5,4]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[1,2,7,6,3,8,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[1,6,2,7,3,8,5,4]=>[[1,2,4,6],[3,5,7],[8]]=>16
[1,7,2,8,5,3,6,4]=>[[1,2,4,7],[3,5],[6,8]]=>16
[1,7,4,2,8,6,3,5]=>[[1,2,5,8],[3,6],[4,7]]=>12
[7,1,8,3,2,6,4,5]=>[[1,3,6,8],[2,4],[5,7]]=>11
[7,2,1,8,6,3,4,5]=>[[1,4,7,8],[2,5],[3,6]]=>6
[1,8,7,3,2,6,4,5]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[1,4,2,8,7,6,3,5]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[1,2,8,7,5,3,6,4]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[1,2,8,6,3,7,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[1,2,7,3,8,6,5,4]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[4,1,7,3,6,5,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[5,1,8,7,6,2,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[8,1,7,6,3,4,5,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>15
[5,7,8,6,2,4,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[5,7,1,6,2,4,3,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[6,4,1,5,2,7,3,8]=>[[1,4,6,8],[2,5,7],[3]]=>5
[8,1,4,5,3,7,6,2]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[6,1,4,5,3,8,7,2]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[6,1,4,5,3,7,8,2]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[5,1,7,8,6,2,4,3]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[6,1,4,8,3,5,7,2]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[7,1,8,6,3,4,5,2]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[7,1,4,5,3,8,6,2]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[7,1,4,5,3,6,8,2]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[8,1,4,5,3,6,7,2]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[7,4,1,5,2,6,3,8]=>[[1,4,6,8],[2,5,7],[3]]=>5
[6,3,5,7,2,1,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[6,3,5,8,2,1,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[6,3,5,7,2,1,8,4]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[8,4,5,7,3,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[6,4,5,8,3,7,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[5,8,7,6,2,4,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[5,4,8,6,3,1,7,2]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[5,4,1,8,2,3,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>8
[5,8,1,6,2,4,3,7]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[8,4,1,5,2,6,3,7]=>[[1,4,6,8],[2,5,7],[3]]=>5
[6,3,5,8,2,1,4,7]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[2,3,4,1,8,6,5,7]=>[[1,2,3,5,8],[4,6],[7]]=>13
[8,3,5,6,2,1,4,7]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[2,3,8,5,1,4,7,6]=>[[1,2,3,7],[4,6,8],[5]]=>14
[2,3,8,6,1,5,7,4]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[2,8,6,7,1,3,5,4]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[8,3,5,7,2,1,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[2,3,8,5,6,1,7,4]=>[[1,2,3,5,7],[4,8],[6]]=>13
[7,4,5,6,3,1,8,2]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[8,4,5,6,3,1,7,2]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[7,3,5,6,2,8,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[7,3,5,8,2,1,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[7,3,5,6,2,1,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[2,7,6,5,1,3,4,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[2,7,6,8,1,3,5,4]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[2,7,6,5,8,3,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[8,7,5,6,1,4,2,3]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[2,6,4,1,8,5,7,3]=>[[1,2,5,7],[3,6],[4,8]]=>13
[2,6,1,3,8,5,7,4]=>[[1,2,5,7],[3,4,6],[8]]=>12
[2,7,1,3,6,5,8,4]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[2,7,6,8,4,3,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[2,7,6,1,8,3,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>11
[2,7,6,1,4,3,5,8]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[7,3,5,1,2,8,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>6
[8,4,1,5,2,3,7,6]=>[[1,4,6,7],[2,5,8],[3]]=>6
[7,8,1,6,3,4,2,5]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[6,4,1,8,3,2,7,5]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[2,3,8,6,4,1,7,5]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[2,8,6,7,4,3,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[8,3,5,7,2,4,1,6]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[2,3,4,1,8,7,5,6]=>[[1,2,3,5,8],[4,6],[7]]=>13
[2,8,6,1,7,3,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>11
[2,3,8,1,6,4,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>15
[2,3,8,1,4,5,7,6]=>[[1,2,3,6,7],[4,5],[8]]=>13
[2,8,6,1,4,3,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[1,2,3,4,5,6,7,9,8]=>[[1,2,3,4,5,6,7,8],[9]]=>8
[2,1,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>1
[1,2,3,4,5,6,7,8,10,9]=>[[1,2,3,4,5,6,7,8,9],[10]]=>9
[2,1,3,4,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>1
[1,8,2,3,4,5,6,9,7]=>[[1,2,4,5,6,7,8],[3,9]]=>9
[7,1,2,3,4,5,6,9,8]=>[[1,3,4,5,6,7,8],[2,9]]=>7
[2,1,9,3,4,5,6,7,8]=>[[1,3,5,6,7,8,9],[2,4]]=>2
[2,8,1,3,4,5,6,7,9]=>[[1,2,5,6,7,8,9],[3,4]]=>4
[2,10,1,3,4,5,6,7,8,9]=>[[1,2,5,6,7,8,9,10],[3,4]]=>4
[8,4,3,6,5,1,7,2]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[8,5,6,3,4,1,7,2]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[8,6,5,4,3,1,7,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[1,7,6,5,4,2,3,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[1,8,6,5,2,7,3,4]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[8,7,5,4,1,6,3,2]=>[[1,6],[2,7],[3],[4],[5],[8]]=>18
[7,8,5,4,1,3,6,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[6,8,5,4,2,1,7,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>19
[5,8,6,2,4,1,7,3]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[4,8,2,6,5,1,7,3]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[3,2,8,6,5,1,7,4]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[3,2,1,7,6,4,5,8]=>[[1,4,7,8],[2,5],[3,6]]=>6
[4,1,3,7,6,2,5,8]=>[[1,3,4,8],[2,5],[6,7]]=>13
[5,1,7,3,6,2,4,8]=>[[1,3,5,8],[2,4],[6,7]]=>12
[6,1,7,5,3,2,4,8]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[7,1,6,5,2,4,3,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>14
[8,1,6,5,2,3,7,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[1,2,7,6,3,4,5,8]=>[[1,2,3,6,7,8],[4],[5]]=>7
[1,2,8,3,7,4,5,6]=>[[1,2,3,5,7,8],[4],[6]]=>8
[8,1,7,2,6,3,5,4]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[7,1,8,2,6,4,3,5]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[6,1,8,2,4,7,3,5]=>[[1,3,5,6],[2,4],[7,8]]=>14
[5,1,8,3,2,7,4,6]=>[[1,3,6,8],[2,4],[5,7]]=>11
[4,1,3,8,2,7,5,6]=>[[1,3,4,8],[2,6],[5,7]]=>10
[3,2,1,8,4,7,5,6]=>[[1,4,6,8],[2,5],[3,7]]=>7
[3,2,8,7,1,6,5,4]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[4,8,2,7,1,6,5,3]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[5,8,7,2,1,6,4,3]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[6,8,7,1,3,5,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[7,8,6,1,5,3,4,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[8,7,6,1,5,4,3,2]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>24
[1,8,7,2,6,5,3,4]=>[[1,2,5,8],[3],[4],[6],[7]]=>16
[1,7,8,2,5,6,3,4]=>[[1,2,3,6],[4,5],[7,8]]=>18
[8,6,7,1,4,5,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[7,6,8,1,4,3,5,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[6,5,8,3,2,1,7,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[7,5,8,3,1,4,6,2]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[8,5,7,3,1,6,4,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>18
[1,6,8,4,2,7,3,5]=>[[1,2,3,8],[4,6],[5,7]]=>14
[1,5,4,8,2,7,3,6]=>[[1,2,4,8],[3,6],[5,7]]=>13
[8,4,3,7,1,6,5,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[7,4,3,8,1,5,6,2]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[6,4,3,1,5,2,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[7,4,3,1,2,6,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[8,4,3,1,2,5,7,6]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[1,5,4,2,3,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>5
[8,5,1,4,2,3,7,6]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[7,5,1,4,2,6,3,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[6,5,1,4,3,2,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[5,6,1,3,4,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>9
[4,6,2,1,5,3,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>10
[3,2,6,1,5,4,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>7
[3,2,7,1,4,6,5,8]=>[[1,3,6,8],[2,5],[4,7]]=>8
[4,7,2,1,3,6,5,8]=>[[1,2,6,8],[3,5],[4,7]]=>11
[5,7,1,3,2,6,4,8]=>[[1,2,6,8],[3,4],[5,7]]=>13
[6,7,1,2,4,5,3,8]=>[[1,2,5,6,8],[3,4],[7]]=>10
[7,6,1,2,5,4,3,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[8,6,1,2,5,3,7,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[1,7,2,3,6,4,5,8]=>[[1,2,4,5,7,8],[3],[6]]=>7
[8,7,1,2,3,6,5,4]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[7,8,1,2,3,5,6,4]=>[[1,2,5,6,7],[3,4],[8]]=>11
[6,8,1,2,4,3,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>15
[5,8,1,3,2,4,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>14
[4,8,2,1,3,5,7,6]=>[[1,2,6,7],[3,5],[4,8]]=>12
[3,2,8,1,4,5,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>9
[4,1,3,2,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>4
[5,1,2,4,3,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>5
[6,1,2,3,5,4,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>6
[7,1,2,3,4,6,5,8]=>[[1,3,4,5,6,8],[2],[7]]=>7
[8,1,2,3,4,5,7,6]=>[[1,3,4,5,6,7],[2],[8]]=>8
[6,7,3,8,5,1,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>18
[6,7,4,5,1,8,3,2]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[5,4,7,6,8,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>13
[5,3,7,8,6,1,2,4]=>[[1,3,4],[2,5,8],[6,7]]=>15
[3,8,4,5,7,1,2,6]=>[[1,2,4,5],[3,7,8],[6]]=>15
[3,4,8,6,7,1,2,5]=>[[1,2,3,5],[4,7,8],[6]]=>16
[4,5,6,7,1,8,3,2]=>[[1,2,3,4,6],[5,7],[8]]=>16
[3,5,6,2,7,4,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>14
[3,5,6,1,7,8,4,2]=>[[1,2,3,5,6],[4,7],[8]]=>15
[2,5,6,1,8,7,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[2,5,6,8,1,7,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>18
[8,2,4,5,1,6,3,7]=>[[1,3,4,6,8],[2,7],[5]]=>8
[1,4,8,6,2,3,7,5]=>[[1,2,3,7],[4,6,8],[5]]=>14
[1,5,6,8,2,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>19
[1,5,6,2,8,4,7,3]=>[[1,2,3,5],[4,6,7],[8]]=>18
[2,5,6,3,4,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>13
[1,4,2,6,8,5,7,3]=>[[1,2,4,5],[3,6,7],[8]]=>17
[8,1,3,2,5,4,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>6
[8,2,3,1,5,6,4,7]=>[[1,3,5,6,8],[2,7],[4]]=>7
[2,8,3,1,5,7,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>13
[2,4,1,6,8,7,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[3,4,1,6,7,8,5,2]=>[[1,2,4,5,6],[3,7],[8]]=>14
[4,3,1,7,6,8,5,2]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[5,2,7,8,1,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>12
[5,3,7,2,6,4,8,1]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[6,7,3,1,5,8,4,2]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[6,7,2,1,8,5,4,3]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[6,7,2,8,1,5,3,4]=>[[1,2,4],[3,6,8],[5,7]]=>16
[6,7,8,2,1,4,3,5]=>[[1,2,3],[4,6,8],[5,7]]=>17
[6,7,1,2,8,4,5,3]=>[[1,2,5,7],[3,4,6],[8]]=>12
[6,7,1,3,4,8,5,2]=>[[1,2,5,6],[3,4,7],[8]]=>13
[5,2,7,3,4,6,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>9
[5,1,7,3,4,8,6,2]=>[[1,3,5,6],[2,4,7],[8]]=>11
[5,1,7,8,2,3,6,4]=>[[1,3,4,7],[2,5,6],[8]]=>12
[4,1,8,7,2,3,6,5]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[3,8,1,2,7,4,5,6]=>[[1,2,5,7,8],[3,4],[6]]=>9
[4,1,3,7,5,8,6,2]=>[[1,3,4,6],[2,5,7],[8]]=>13
[3,1,4,5,7,8,6,2]=>[[1,3,4,5,6],[2,7],[8]]=>12
[2,1,8,3,4,7,6,5]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[8,2,1,3,4,6,5,7]=>[[1,4,5,6,8],[2,7],[3]]=>6
[1,8,2,3,4,5,7,6]=>[[1,2,4,5,6,7],[3],[8]]=>9
[1,2,8,3,4,6,7,5]=>[[1,2,3,5,6,7],[4],[8]]=>10
[4,2,1,6,5,8,7,3]=>[[1,4,6],[2,5,7],[3,8]]=>9
[5,2,6,1,4,8,7,3]=>[[1,3,6],[2,5,7],[4,8]]=>10
[5,2,6,4,1,8,7,3]=>[[1,3,6],[2,4,7],[5,8]]=>13
[5,2,7,4,8,1,6,3]=>[[1,3,5],[2,4,7],[6,8]]=>14
[5,2,7,4,8,6,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>15
[5,7,2,3,8,6,1,4]=>[[1,2,5],[3,4,6],[7,8]]=>17
[5,7,2,3,8,1,6,4]=>[[1,2,5],[3,4,7],[6,8]]=>16
[5,6,2,3,1,8,7,4]=>[[1,2,6],[3,4,7],[5,8]]=>15
[5,6,2,1,3,8,7,4]=>[[1,2,6],[3,5,7],[4,8]]=>13
[5,1,6,4,2,8,7,3]=>[[1,3,6],[2,4,7],[5,8]]=>13
[5,6,1,3,2,8,7,4]=>[[1,2,6],[3,4,7],[5,8]]=>15
[5,6,3,1,2,8,7,4]=>[[1,2,6],[3,5,7],[4,8]]=>13
[5,6,3,2,1,8,7,4]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[5,7,3,2,8,1,6,4]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[5,7,3,2,8,6,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[6,7,3,8,2,1,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[6,7,3,8,1,2,5,4]=>[[1,2,4],[3,6,7],[5,8]]=>17
[5,7,3,1,8,2,6,4]=>[[1,2,5],[3,6,7],[4,8]]=>16
[5,7,1,3,8,2,6,4]=>[[1,2,5],[3,4,7],[6,8]]=>16
[5,1,7,4,8,2,6,3]=>[[1,3,5],[2,4,7],[6,8]]=>14
[1,5,7,4,8,3,6,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[1,5,7,4,8,6,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[5,1,7,4,8,6,2,3]=>[[1,3,5],[2,4,6],[7,8]]=>15
[5,7,1,3,8,6,2,4]=>[[1,2,5],[3,4,6],[7,8]]=>17
[5,7,3,1,8,6,2,4]=>[[1,2,5],[3,6,8],[4,7]]=>15
[6,7,3,8,1,5,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>16
[6,7,3,8,5,2,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[6,7,8,3,1,4,2,5]=>[[1,2,3],[4,6,8],[5,7]]=>17
[6,7,1,8,3,5,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>20
[6,1,7,8,4,5,2,3]=>[[1,3,4],[2,5,6],[7,8]]=>17
[1,6,7,8,4,5,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[1,6,7,8,4,3,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[6,1,7,8,4,2,5,3]=>[[1,3,4],[2,5,7],[6,8]]=>16
[6,7,1,8,3,2,5,4]=>[[1,2,4],[3,5,7],[6,8]]=>19
[5,7,2,1,8,3,6,4]=>[[1,2,5],[3,6,7],[4,8]]=>16
[6,7,2,8,1,3,5,4]=>[[1,2,4],[3,6,7],[5,8]]=>17
[6,7,2,8,3,1,5,4]=>[[1,2,4],[3,5,7],[6,8]]=>19
[6,7,2,8,3,5,1,4]=>[[1,2,4],[3,5,6],[7,8]]=>20
[6,2,7,8,4,5,1,3]=>[[1,3,4],[2,5,6],[7,8]]=>17
[6,2,7,8,4,1,5,3]=>[[1,3,4],[2,5,7],[6,8]]=>16
[6,2,7,8,1,4,5,3]=>[[1,3,4],[2,6,7],[5,8]]=>13
[5,2,7,1,8,4,6,3]=>[[1,3,5],[2,6,7],[4,8]]=>12
[4,2,1,7,8,5,6,3]=>[[1,4,5],[2,6,7],[3,8]]=>11
[4,1,2,7,8,6,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[6,2,7,8,1,5,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[6,2,7,8,5,1,4,3]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[6,2,7,8,5,4,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[6,7,2,8,5,3,1,4]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[5,7,2,1,8,6,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>15
[5,7,1,2,8,6,3,4]=>[[1,2,5,8],[3,4,6],[7]]=>11
[5,1,7,2,8,6,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[1,5,7,3,8,6,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[1,6,7,8,3,5,4,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[6,1,7,8,2,5,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[6,7,1,8,2,5,3,4]=>[[1,2,4,8],[3,5,6],[7]]=>14
[6,7,8,2,4,1,3,5]=>[[1,2,3],[4,5,8],[6,7]]=>19
[6,7,8,2,4,3,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[6,7,1,8,5,2,3,4]=>[[1,2,4,8],[3,5,7],[6]]=>13
[6,1,7,8,5,2,4,3]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[1,6,7,8,5,3,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[6,1,7,8,5,4,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[6,7,1,8,5,3,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[6,7,8,4,1,3,2,5]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[6,3,8,5,2,7,4,1]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[6,5,2,8,4,7,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[6,3,4,5,8,7,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[5,6,1,4,8,7,3,2]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[3,6,4,8,5,7,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>17
[5,1,4,8,6,3,7,2]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[3,4,7,1,8,6,5,2]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[6,3,8,4,2,7,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[3,6,8,7,1,4,2,5]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[5,3,7,1,6,8,2,4]=>[[1,3,6],[2,5,8],[4,7]]=>9
[4,3,8,5,6,7,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[4,6,1,2,7,8,5,3]=>[[1,2,5,6],[3,4,7],[8]]=>13
[3,6,4,2,8,7,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[6,3,7,5,2,8,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[6,5,2,7,4,8,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[5,7,1,4,8,3,2,6]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[7,8,3,5,1,4,6,2]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[5,8,1,4,6,7,2,3]=>[[1,2,5,6],[3,4],[7,8]]=>16
[6,5,8,4,3,7,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>22
[6,3,7,4,2,8,5,1]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[8,7,1,6,2,4,5,3]=>[[1,4,6,7],[2],[3],[5],[8]]=>14
[3,8,6,7,1,4,5,2]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[5,3,8,7,4,1,2,6]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[4,3,8,7,1,5,6,2]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[8,3,6,1,2,5,7,4]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[5,6,1,8,7,3,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[5,4,2,7,3,6,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[7,5,3,6,4,2,8,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[6,4,1,5,3,8,2,7]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[8,2,6,3,4,7,5,1]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[7,2,6,3,5,4,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[6,2,7,4,3,5,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[3,7,6,4,5,2,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>17
[2,7,6,5,3,4,8,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>16
[6,5,4,3,1,8,2,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,6,5,4,2,7,3,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>18
[8,5,4,1,7,2,6,3]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[7,5,4,1,8,3,2,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[1,6,5,2,8,3,4,7]=>[[1,2,5,7,8],[3,6],[4]]=>8
[1,6,5,3,4,8,2,7]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[5,4,6,3,1,8,2,7]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[6,5,8,4,2,7,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>18
[5,8,2,6,4,7,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[7,8,5,3,2,6,4,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[6,8,3,1,7,2,5,4]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[1,8,6,3,7,5,2,4]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[8,7,5,2,6,4,3,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>20
[8,7,1,6,2,5,4,3]=>[[1,4,6],[2],[3],[5],[7],[8]]=>20
[7,8,1,6,3,2,5,4]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[2,8,1,7,3,5,6,4]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[4,8,1,3,7,2,6,5]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[4,2,8,5,7,3,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[5,1,7,6,8,3,2,4]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[6,7,3,1,8,4,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>15
[1,7,3,8,4,5,2,6]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,7,2,8,5,3,4,6]=>[[1,2,4,7,8],[3,5],[6]]=>10
[7,6,1,8,4,3,2,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[8,6,1,7,4,2,5,3]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[8,1,2,7,3,4,6,5]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[7,1,2,8,3,5,4,6]=>[[1,3,4,6,8],[2,5],[7]]=>9
[8,2,6,1,7,3,5,4]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[4,2,1,5,8,3,6,7]=>[[1,4,5,8],[2,6,7],[3]]=>7
[5,4,3,1,6,8,2,7]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[4,7,5,6,8,3,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[6,5,4,8,2,7,3,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[6,5,1,8,7,4,2,3]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[8,6,4,7,5,3,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>22
[5,1,8,3,7,6,2,4]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[5,4,8,1,7,2,6,3]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[3,6,8,2,4,7,5,1]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[5,7,3,8,2,6,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[4,7,2,8,6,3,5,1]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[2,3,8,7,4,5,6,1]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[7,2,8,6,4,3,5,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[2,1,8,7,5,6,3,4]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[8,2,7,6,3,5,4,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>21
[8,1,7,6,5,2,4,3]=>[[1,3,7],[2],[4],[5],[6],[8]]=>20
[7,1,8,6,5,3,2,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[1,2,8,7,6,3,4,5]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[1,3,8,7,4,6,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[5,1,6,8,7,4,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[6,8,7,2,5,4,3,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>25
[3,8,7,6,4,5,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>22
[2,8,7,6,5,3,4,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>21
[1,8,7,6,5,4,2,3]=>[[1,2,8],[3],[4],[5],[6],[7]]=>20
[5,8,6,7,3,4,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[4,8,6,7,3,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[3,8,6,7,4,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[2,8,6,7,4,5,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[1,8,6,7,4,5,2,3]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[1,8,5,7,4,6,2,3]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[3,8,5,7,4,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[4,8,5,7,3,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[7,8,3,6,4,5,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[6,8,3,7,4,5,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[5,8,3,7,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[3,7,4,8,5,6,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>17
[4,7,3,8,5,6,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>20
[4,7,2,8,5,6,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>20
[4,7,1,8,5,6,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>20
[3,7,1,8,5,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>20
[3,7,2,8,5,6,1,4]=>[[1,2,4],[3,5,6],[7,8]]=>20
[2,7,3,8,5,6,1,4]=>[[1,2,4,6],[3,5],[7,8]]=>17
[2,7,4,8,5,6,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>17
[5,8,2,7,4,6,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[6,8,2,7,4,5,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[7,8,2,6,4,5,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[7,8,1,6,4,5,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[6,8,1,7,4,5,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[5,8,1,7,4,6,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[1,7,4,8,5,6,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>17
[1,7,3,8,5,6,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>17
[2,8,5,6,1,7,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>14
[1,8,5,6,2,7,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>14
[1,7,3,8,4,6,2,5]=>[[1,2,4,6],[3,5],[7,8]]=>17
[4,8,1,7,3,6,2,5]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[5,8,1,7,3,6,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[6,8,1,7,3,5,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[7,8,2,6,3,5,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[6,8,2,7,3,5,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[5,8,2,7,3,6,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[4,8,2,7,3,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[2,7,3,8,4,6,1,5]=>[[1,2,4,6],[3,5],[7,8]]=>17
[3,7,2,8,4,6,1,5]=>[[1,2,4],[3,5,6],[7,8]]=>20
[3,7,1,8,4,6,2,5]=>[[1,2,4],[3,5,6],[7,8]]=>20
[1,8,4,7,3,6,2,5]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[2,8,4,7,3,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[3,8,4,7,2,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[4,8,5,7,2,6,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[3,8,5,7,2,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[2,8,5,7,3,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[1,8,5,7,3,6,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[1,8,6,7,3,5,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[2,8,6,7,3,5,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[3,8,6,7,2,5,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[4,8,6,7,2,5,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[5,8,6,7,2,4,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[6,8,5,7,1,4,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[5,8,6,7,1,4,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[4,8,6,7,1,5,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[3,8,6,7,1,5,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[1,5,2,8,6,7,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>15
[2,5,1,8,6,7,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>15
[2,6,1,8,5,7,3,4]=>[[1,2,4],[3,5,6],[7,8]]=>20
[1,6,2,8,5,7,3,4]=>[[1,2,4,6],[3,5],[7,8]]=>17
[3,8,5,7,1,6,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[6,8,4,7,1,5,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[7,8,4,6,1,5,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[7,8,3,6,1,5,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[6,8,3,7,1,5,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[4,8,3,7,1,6,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[3,8,4,7,1,6,2,5]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[1,6,2,8,4,7,3,5]=>[[1,2,4,6],[3,5],[7,8]]=>17
[2,6,1,8,4,7,3,5]=>[[1,2,4],[3,5,6],[7,8]]=>20
[3,7,2,6,1,8,4,5]=>[[1,2,6],[3,4,8],[5,7]]=>14
[3,7,1,6,2,8,4,5]=>[[1,2,6,8],[3,4,7],[5]]=>9
[4,8,1,6,2,7,3,5]=>[[1,2,6,8],[3,4,7],[5]]=>9
[5,8,1,6,2,7,3,4]=>[[1,2,6,8],[3,4,7],[5]]=>9
[7,8,1,5,2,6,3,4]=>[[1,2,6,8],[3,4],[5,7]]=>13
[7,8,2,5,1,6,3,4]=>[[1,2,6],[3,4,8],[5,7]]=>14
[6,8,2,5,1,7,3,4]=>[[1,2,6],[3,4,8],[5,7]]=>14
[5,8,2,6,1,7,3,4]=>[[1,2,6],[3,4,8],[5,7]]=>14
[4,8,2,6,1,7,3,5]=>[[1,2,6],[3,4,8],[5,7]]=>14
[1,7,3,6,2,8,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>14
[2,7,3,6,1,8,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>14
[1,2,3,4,5,6,7,8,9]=>[[1,2,3,4,5,6,7,8,9]]=>0
[1,2,3,4,5,6,8,9,7]=>[[1,2,3,4,5,6,7,8],[9]]=>8
[1,2,3,4,5,7,8,9,6]=>[[1,2,3,4,5,6,7,8],[9]]=>8
[1,2,3,4,6,7,8,9,5]=>[[1,2,3,4,5,6,7,8],[9]]=>8
[1,2,3,5,6,7,8,9,4]=>[[1,2,3,4,5,6,7,8],[9]]=>8
[1,2,4,5,6,7,8,9,3]=>[[1,2,3,4,5,6,7,8],[9]]=>8
[1,3,4,5,6,7,8,9,2]=>[[1,2,3,4,5,6,7,8],[9]]=>8
[1,2,3,4,5,6,7,8,9,10]=>[[1,2,3,4,5,6,7,8,9,10]]=>0
[1,2,3,4,5,6,9,8,7]=>[[1,2,3,4,5,6,7],[8],[9]]=>15
[1,2,3,4,5,6,7,9,10,8]=>[[1,2,3,4,5,6,7,8,9],[10]]=>9
[1,2,3,4,5,8,7,9,6]=>[[1,2,3,4,5,6,8],[7],[9]]=>14
[1,2,3,4,5,6,8,9,10,7]=>[[1,2,3,4,5,6,7,8,9],[10]]=>9
[1,2,3,4,7,6,8,9,5]=>[[1,2,3,4,5,7,8],[6],[9]]=>13
[1,2,3,4,5,7,8,9,10,6]=>[[1,2,3,4,5,6,7,8,9],[10]]=>9
[1,2,3,6,5,7,8,9,4]=>[[1,2,3,4,6,7,8],[5],[9]]=>12
[1,2,3,4,6,7,8,9,10,5]=>[[1,2,3,4,5,6,7,8,9],[10]]=>9
[1,2,5,4,6,7,8,9,3]=>[[1,2,3,5,6,7,8],[4],[9]]=>11
[1,2,3,5,6,7,8,9,10,4]=>[[1,2,3,4,5,6,7,8,9],[10]]=>9
[1,4,3,5,6,7,8,9,2]=>[[1,2,4,5,6,7,8],[3],[9]]=>10
[1,2,4,5,6,7,8,9,10,3]=>[[1,2,3,4,5,6,7,8,9],[10]]=>9
[3,2,4,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8],[2],[9]]=>9
[1,3,4,5,6,7,8,9,10,2]=>[[1,2,3,4,5,6,7,8,9],[10]]=>9
[6,7,4,8,3,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[6,7,4,5,2,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[5,7,4,6,2,3,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[5,7,4,6,3,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[5,7,4,8,3,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[6,8,4,5,3,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[5,8,4,6,3,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[5,6,4,8,3,7,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[5,6,3,7,2,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[5,6,3,7,2,8,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[5,6,3,8,2,7,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[5,6,4,8,2,7,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[5,8,4,6,2,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[6,8,4,5,2,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[7,8,4,5,2,6,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[6,8,4,5,2,3,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[5,8,4,6,2,3,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[5,6,4,8,2,3,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[5,6,3,8,2,4,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[5,6,3,4,2,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[4,6,3,5,2,7,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[4,6,3,5,2,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[4,6,3,8,2,5,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[4,8,3,6,2,5,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[5,8,3,6,2,4,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[6,8,3,5,2,4,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[7,8,3,5,2,4,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[7,8,3,5,2,6,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[5,8,3,6,2,7,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[4,8,3,6,2,7,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[4,6,3,8,2,7,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[4,6,3,7,2,8,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[4,7,3,6,2,5,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[4,7,3,6,2,8,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[4,7,3,8,2,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[5,7,4,8,2,6,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[5,7,3,6,2,8,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[5,7,3,6,2,4,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[6,7,3,5,2,4,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[6,7,3,5,2,8,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[6,7,4,8,2,5,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[6,7,5,8,2,4,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[6,8,5,7,2,3,1,4]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[6,7,4,8,2,3,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[6,7,3,8,2,4,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[6,7,3,4,2,8,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[5,7,3,4,2,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[5,7,3,4,2,8,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[5,7,4,8,2,3,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[5,8,4,7,2,3,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[6,8,4,7,2,3,1,5]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[7,8,4,6,2,3,1,5]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[7,8,3,6,2,4,1,5]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[6,8,3,7,2,4,1,5]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[5,8,3,7,2,4,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[4,8,3,7,2,5,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[4,7,3,8,2,5,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[4,7,3,5,2,8,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[4,7,3,5,2,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[4,5,3,7,2,6,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[4,5,3,7,2,8,1,6]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[4,5,3,8,2,7,1,6]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[4,8,3,5,2,7,1,6]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[5,8,3,4,2,7,1,6]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[6,8,3,4,2,7,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[7,8,3,4,2,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[6,8,3,4,2,5,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[5,8,3,4,2,6,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[4,8,3,5,2,6,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[4,5,3,8,2,6,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[4,5,3,6,2,8,1,7]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[4,7,5,2,1,8,3,6]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[4,8,5,2,1,7,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[4,6,5,2,1,3,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[5,6,4,2,3,1,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[6,4,5,3,1,2,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[5,4,6,1,3,2,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[4,6,8,1,7,3,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[4,7,8,1,6,3,5,2]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[7,4,8,1,6,5,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[5,4,8,1,3,7,6,2]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[8,4,5,3,1,7,6,2]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[5,4,7,1,3,8,2,6]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[6,4,8,1,7,5,2,3]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[5,6,8,7,2,1,3,4]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[8,5,7,6,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>20
[8,4,6,3,7,2,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[6,3,2,8,7,4,1,5]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[2,1,6,8,7,4,3,5]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[2,1,7,8,6,4,5,3]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[7,3,2,8,6,4,5,1]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[7,6,8,5,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>22
[5,7,8,6,2,3,1,4]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[5,8,7,6,3,2,1,4]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[6,8,7,5,3,2,4,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>23
[5,8,4,2,3,7,6,1]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[7,8,4,2,6,5,3,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[4,8,7,2,6,3,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[4,8,6,2,7,3,1,5]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[3,6,1,8,7,4,2,5]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[3,7,1,8,6,4,5,2]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[3,8,1,6,7,5,2,4]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[3,7,1,6,8,2,5,4]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[4,7,6,2,8,1,3,5]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[6,7,4,2,8,1,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[6,8,4,2,7,5,1,3]=>[[1,2],[3,5],[4,6],[7,8]]=>22
[2,1,8,6,7,5,3,4]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[8,3,2,6,7,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[8,6,4,3,7,5,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[5,8,6,7,3,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[6,7,5,8,1,3,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[7,6,5,8,1,4,3,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>21
[8,6,5,7,4,1,3,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>20
[7,6,4,3,8,1,5,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>14
[7,3,2,6,8,1,5,4]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[2,1,7,6,8,3,5,4]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[7,5,6,8,1,4,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[6,5,7,8,1,2,4,3]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[8,1,3,7,4,6,5,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[5,2,8,7,4,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[1,6,2,5,4,7,3,8]=>[[1,2,4,6,8],[3],[5],[7]]=>12
[6,2,7,5,4,8,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[8,1,3,5,4,7,6,2]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[6,1,5,4,3,8,7,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[6,1,8,3,4,5,7,2]=>[[1,3,5,6,7],[2,4],[8]]=>9
[7,1,5,3,4,8,6,2]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[7,1,4,3,5,6,8,2]=>[[1,3,5,6,7],[2],[4],[8]]=>11
[8,1,3,4,5,6,7,2]=>[[1,3,4,5,6,7],[2],[8]]=>8
[1,7,2,4,5,6,3,8]=>[[1,2,4,5,6,8],[3],[7]]=>8
[6,3,2,7,5,1,8,4]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[8,4,7,2,5,6,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[6,5,8,2,4,7,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[8,5,2,1,4,3,7,6]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[6,5,2,8,4,1,3,7]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[5,6,2,1,4,8,3,7]=>[[1,2,6],[3,5,8],[4,7]]=>12
[3,6,1,8,5,2,4,7]=>[[1,2,4,8],[3,5,7],[6]]=>13
[1,2,6,3,5,4,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>8
[3,4,1,2,8,6,5,7]=>[[1,2,5,8],[3,4,6],[7]]=>11
[4,3,1,2,6,8,5,7]=>[[1,4,5,6],[2,7,8],[3]]=>9
[5,8,1,6,3,2,4,7]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[6,3,8,5,2,1,4,7]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[8,3,1,5,2,4,7,6]=>[[1,4,6,7],[2,5,8],[3]]=>6
[3,8,2,6,1,5,7,4]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[3,8,6,7,2,1,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[8,5,6,4,2,1,7,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[7,2,5,8,3,1,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[1,7,5,6,3,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[6,1,2,3,8,5,7,4]=>[[1,3,4,5,7],[2,6],[8]]=>11
[7,1,2,3,6,5,8,4]=>[[1,3,4,5,7],[2],[6],[8]]=>13
[7,2,1,3,8,6,4,5]=>[[1,4,5,8],[2,6],[3,7]]=>8
[1,5,7,3,2,4,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>10
[5,2,7,3,1,8,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>7
[5,8,2,4,1,3,7,6]=>[[1,2,7],[3,4,8],[5,6]]=>13
[8,7,2,6,3,4,1,5]=>[[1,4,6,8],[2],[3],[5],[7]]=>13
[4,8,1,6,3,2,7,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[3,1,8,6,4,2,7,5]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[8,1,6,7,4,3,2,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[3,5,8,7,2,4,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[4,2,1,3,7,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>9
[2,4,1,3,8,7,5,6]=>[[1,2,5,8],[3,4,6],[7]]=>11
[2,5,8,3,1,7,4,6]=>[[1,2,3,8],[4,6],[5,7]]=>14
[8,6,1,3,7,2,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[2,8,1,3,6,4,7,5]=>[[1,2,5,7],[3,4,8],[6]]=>11
[6,8,2,3,4,1,5,7]=>[[1,2,5,7,8],[3,4],[6]]=>9
[5,1,8,3,2,4,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>6
[9,8,7,6,5,4,3,2,1]=>[[1],[2],[3],[4],[5],[6],[7],[8],[9]]=>36
[8,9,7,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>35
[8,7,6,5,4,3,2,1,9]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>28
[9,10,8,7,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>44
[7,8,9,6,5,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>33
[8,7,6,5,4,3,1,2,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>21
[9,8,7,6,5,4,3,2,1,10]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>36
[1,4,2,7,8,6,3,5]=>[[1,2,4,5],[3,6,8],[7]]=>16
[1,6,2,4,8,5,3,7]=>[[1,2,4,5,8],[3,6],[7]]=>12
[1,6,2,4,7,5,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>12
[1,7,3,8,5,2,4,6]=>[[1,2,4,8],[3,5],[6,7]]=>15
[1,7,3,2,8,6,4,5]=>[[1,2,5,8],[3,6],[4,7]]=>12
[4,2,5,7,8,6,1,3]=>[[1,3,4,5],[2,6],[7,8]]=>16
[7,2,3,1,8,5,6,4]=>[[1,3,5,7],[2,6],[4,8]]=>10
[8,2,5,1,7,3,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>8
[6,2,1,8,3,4,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>8
[6,2,8,3,5,1,7,4]=>[[1,3,5,7],[2,4],[6,8]]=>13
[6,2,4,8,5,7,1,3]=>[[1,3,4,6],[2,5],[7,8]]=>15
[1,3,6,4,8,5,7,2]=>[[1,2,3,5,7],[4,6],[8]]=>14
[1,3,6,4,7,5,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>14
[6,2,4,7,5,8,1,3]=>[[1,3,4,6],[2,5],[7,8]]=>15
[6,2,1,3,7,8,4,5]=>[[1,4,5,6],[2,7,8],[3]]=>9
[7,8,2,1,4,3,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>10
[7,6,4,2,3,1,8,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[5,7,2,3,1,6,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>14
[7,5,4,2,6,8,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[1,7,5,3,4,6,8,2]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[8,2,5,4,6,7,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[5,2,6,3,1,8,7,4]=>[[1,3,6],[2,4,7],[5,8]]=>13
[8,2,6,4,3,1,7,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[8,2,7,4,1,3,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[1,2,8,4,3,5,6,7]=>[[1,2,3,6,7,8],[4],[5]]=>7
[1,7,4,2,3,5,6,8]=>[[1,2,5,6,7,8],[3],[4]]=>5
[6,8,4,1,3,2,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[1,8,7,4,3,2,5,6]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[1,6,3,8,2,4,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>14
[5,3,8,1,2,7,4,6]=>[[1,3,6,8],[2,5],[4,7]]=>8
[5,1,8,3,2,6,4,7]=>[[1,3,6,8],[2,4],[5,7]]=>11
[5,7,3,1,2,6,4,8]=>[[1,2,6,8],[3,5],[4,7]]=>11
[1,7,5,4,2,6,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[1,5,8,2,4,6,3,7]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,5,8,4,2,7,3,6]=>[[1,2,3,8],[4,6],[5,7]]=>14
[1,4,6,2,8,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>18
[5,3,1,6,7,2,4,8]=>[[1,4,5,8],[2,6,7],[3]]=>7
[5,3,6,1,2,8,4,7]=>[[1,3,6,8],[2,5,7],[4]]=>6
[1,6,3,2,7,8,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>13
[1,7,4,5,3,8,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[6,3,4,1,2,5,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>7
[6,3,1,4,2,7,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>5
[1,8,3,2,4,5,6,7]=>[[1,2,5,6,7,8],[3],[4]]=>5
[8,6,3,2,4,1,7,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[8,5,3,2,6,7,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[4,5,2,6,8,1,7,3]=>[[1,2,4,5],[3,7],[6,8]]=>16
[4,2,5,6,7,8,1,3]=>[[1,3,4,5,6],[2,8],[7]]=>11
[5,2,3,6,7,1,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>10
[6,2,3,4,1,7,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>9
[7,2,3,1,4,5,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>8
[8,6,1,4,3,2,5,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[8,3,1,6,5,2,4,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[3,7,5,1,8,2,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>11
[4,1,5,2,8,7,3,6]=>[[1,3,5,8],[2,4,6],[7]]=>9
[8,1,2,4,6,5,3,7]=>[[1,3,4,5,8],[2],[6],[7]]=>12
[8,1,2,5,4,6,3,7]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[8,2,6,5,1,3,4,7]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[8,3,1,6,2,5,4,7]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[8,1,2,6,4,5,3,7]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[8,1,2,5,6,4,3,7]=>[[1,3,4,5,8],[2],[6],[7]]=>12
[8,1,2,6,5,4,3,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[1,7,5,4,2,8,3,6]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[5,1,4,8,2,7,3,6]=>[[1,3,4,8],[2,6],[5,7]]=>10
[1,4,6,8,2,7,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>18
[1,4,7,6,2,8,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>15
[5,1,4,7,2,8,3,6]=>[[1,3,4,6],[2,7,8],[5]]=>11
[1,7,4,5,2,8,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>14
[3,7,5,1,2,8,4,6]=>[[1,2,6,8],[3,5,7],[4]]=>8
[5,7,2,8,1,3,4,6]=>[[1,2,4,8],[3,6,7],[5]]=>12
[5,2,8,7,1,3,4,6]=>[[1,3,7,8],[2,4],[5,6]]=>10
[4,1,5,8,2,7,3,6]=>[[1,3,4,8],[2,5,6],[7]]=>11
[1,4,6,2,8,7,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>17
[1,4,2,8,6,7,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>15
[3,1,2,6,4,8,7,5]=>[[1,3,4,6],[2,5,7],[8]]=>13
[2,1,7,6,3,4,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>8
[3,1,2,7,4,6,8,5]=>[[1,3,4,6,7],[2,5],[8]]=>10
[1,4,7,2,6,8,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>16
[1,2,3,6,8,5,7,4]=>[[1,2,3,4,5],[6,7],[8]]=>17
[5,1,4,2,7,8,3,6]=>[[1,3,5,6],[2,7,8],[4]]=>10
[1,4,2,7,6,8,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>15
[1,4,2,6,8,7,3,5]=>[[1,2,4,5],[3,6,8],[7]]=>16
[3,1,2,8,4,6,7,5]=>[[1,3,4,6,7],[2,5],[8]]=>10
[3,1,2,7,6,4,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>11
[5,3,7,1,8,2,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>8
[1,7,4,3,2,5,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[4,8,7,2,1,3,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[1,8,7,3,4,2,5,6]=>[[1,2,5,7,8],[3],[4],[6]]=>10
[3,1,7,8,2,6,4,5]=>[[1,3,4,8],[2,5,6],[7]]=>11
[1,4,2,7,8,3,6,5]=>[[1,2,4,5],[3,6,7],[8]]=>17
[5,2,8,1,3,4,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>9
[2,1,8,6,3,4,7,5]=>[[1,3,6,7],[2,4,8],[5]]=>8
[1,4,2,6,8,3,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>17
[1,2,3,7,8,5,6,4]=>[[1,2,3,4,5],[6,7],[8]]=>17
[1,2,3,7,5,8,6,4]=>[[1,2,3,4,6],[5,7],[8]]=>16
[1,4,2,7,3,8,6,5]=>[[1,2,4,6],[3,5,7],[8]]=>16
[3,1,7,2,8,6,4,5]=>[[1,3,5,8],[2,4,6],[7]]=>9
[2,1,7,8,3,4,6,5]=>[[1,3,4,7],[2,5,6],[8]]=>12
[1,2,3,8,7,5,6,4]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[10,1,2,3,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9,10],[2]]=>1
[9,1,10,2,3,4,5,6,7,8]=>[[1,3,5,6,7,8,9,10],[2,4]]=>2
[10,9,1,2,3,4,5,6,7,8]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>3
[2,9,10,1,3,4,5,6,7,8]=>[[1,2,3,7,8,9,10],[4,5,6]]=>9
[4,7,8,5,6,2,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[5,7,8,4,2,6,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[6,7,8,4,2,5,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[8,6,3,7,2,1,5,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>15
[7,6,3,8,2,1,5,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>15
[6,7,8,3,2,1,5,4]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[5,7,8,3,2,1,6,4]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[2,7,8,4,3,5,6,1]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[3,7,8,4,2,5,1,6]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[4,7,8,3,2,1,5,6]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[5,7,8,3,2,1,4,6]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[7,6,3,8,2,1,4,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[8,6,3,7,2,1,4,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[5,6,3,8,2,1,4,7]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[3,6,4,8,2,5,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[2,6,4,8,3,5,7,1]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[2,6,4,7,3,5,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[3,6,4,7,2,5,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[4,6,3,7,2,1,5,8]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[5,6,3,7,2,1,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[8,4,3,2,1,6,5,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[6,4,3,2,1,7,5,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[4,5,3,2,7,1,6,8]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[3,5,4,2,8,6,1,7]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[6,4,3,2,1,8,5,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[7,4,3,2,1,8,5,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,4,3,2,1,7,5,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,4,3,2,1,7,6,5]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[7,4,3,2,1,8,6,5]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[6,4,3,2,1,8,7,5]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[5,6,3,8,2,1,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[7,5,3,2,8,1,6,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>14
[8,5,4,2,7,6,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[7,5,4,2,8,6,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[6,5,4,2,8,7,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[4,6,5,8,7,2,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[2,6,5,7,8,3,4,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[6,5,4,2,7,8,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[8,5,4,2,6,7,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[8,5,3,2,6,1,7,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[7,5,3,2,6,1,8,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[5,6,3,7,2,1,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[4,6,3,7,2,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[3,6,4,7,2,8,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[2,6,4,7,3,8,5,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[3,5,4,2,7,8,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[4,5,3,2,7,1,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[7,4,3,2,1,6,8,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[8,4,3,2,1,6,7,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[8,4,3,2,1,5,7,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[7,4,3,2,1,5,8,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[6,4,3,2,1,5,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[3,5,4,2,6,8,1,7]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[8,5,3,7,2,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[8,5,7,4,2,6,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>18
[6,8,3,7,5,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>24
[5,7,3,8,1,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>16
[3,2,6,4,8,5,1,7]=>[[1,3,5,8],[2,4,6],[7]]=>9
[3,5,2,4,1,7,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>9
[4,2,5,8,3,1,6,7]=>[[1,3,4,8],[2,5,7],[6]]=>10
[3,1,5,4,2,8,6,7]=>[[1,3,6,8],[2,4,7],[5]]=>7
[4,1,5,8,3,2,6,7]=>[[1,3,4,8],[2,5,7],[6]]=>10
[4,3,8,5,2,1,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[4,7,3,5,2,1,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[4,3,2,7,5,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[4,3,6,2,5,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[4,6,3,2,5,1,7,8]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[4,3,1,5,7,2,6,8]=>[[1,4,5,8],[2,6,7],[3]]=>7
[4,3,6,1,5,2,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>7
[4,6,3,1,5,2,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>10
[5,3,6,4,1,2,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>10
[4,3,6,1,7,2,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>8
[6,2,4,1,3,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>7
[3,6,4,1,2,7,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>8
[4,6,3,1,7,2,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>11
[5,6,2,7,1,3,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>12
[4,5,2,7,3,1,6,8]=>[[1,2,4,8],[3,5,7],[6]]=>13
[4,6,2,1,7,3,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>11
[3,2,6,1,4,7,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>6
[3,5,2,7,4,6,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>14
[3,7,2,4,8,5,1,6]=>[[1,2,5,8],[3,4,6],[7]]=>11
[7,3,1,4,6,8,2,5]=>[[1,4,5,6],[2,7,8],[3]]=>9
[3,2,6,1,5,7,4,8]=>[[1,3,6,8],[2,5],[4,7]]=>8
[6,3,2,1,5,7,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[6,4,2,1,5,3,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[4,2,6,1,5,3,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>7
[4,2,1,7,5,3,6,8]=>[[1,4,7,8],[2,5],[3,6]]=>6
[7,4,1,5,6,2,3,8]=>[[1,4,5,8],[2,6,7],[3]]=>7
[7,3,1,5,2,6,4,8]=>[[1,4,6,8],[2,5,7],[3]]=>5
[6,3,5,1,2,7,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>6
[5,2,6,4,1,3,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>10
[3,6,5,1,2,7,4,8]=>[[1,2,6,8],[3,5,7],[4]]=>8
[6,5,2,1,4,7,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[6,5,3,1,4,7,2,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[2,3,1,8,5,4,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>14
[2,4,1,5,8,3,7,6]=>[[1,2,4,5],[3,6,7],[8]]=>17
[2,4,1,5,3,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>16
[3,4,5,1,2,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>17
[3,4,5,1,8,2,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>18
[3,4,5,8,2,1,7,6]=>[[1,2,3,4],[5,7],[6,8]]=>18
[3,4,5,2,8,1,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>17
[3,4,6,2,1,7,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>12
[3,4,6,2,1,7,5,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[3,5,6,2,7,1,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>12
[3,5,6,2,7,1,8,4]=>[[1,2,3,5,7],[4,8],[6]]=>13
[3,5,6,2,7,8,1,4]=>[[1,2,3,5,6],[4,8],[7]]=>14
[1,8,4,6,3,7,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[3,4,6,8,2,7,5,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[3,4,6,2,8,7,5,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[3,5,6,2,7,8,4,1]=>[[1,2,3,5,6],[4,7],[8]]=>15
[3,5,6,2,7,4,1,8]=>[[1,2,3,5,8],[4,6],[7]]=>13
[4,5,6,7,2,8,3,1]=>[[1,2,3,4,6],[5,7],[8]]=>16
[3,5,6,8,7,2,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[2,5,8,6,7,3,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[2,5,8,6,7,3,1,4]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[3,5,6,8,7,2,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[4,5,6,7,2,1,8,3]=>[[1,2,3,4,7],[5,8],[6]]=>14
[2,3,1,8,6,7,4,5]=>[[1,2,4,6],[3,5,8],[7]]=>15
[1,8,3,2,6,7,5,4]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[2,5,1,6,7,8,4,3]=>[[1,2,4,5,6],[3,7],[8]]=>14
[2,5,1,6,7,4,8,3]=>[[1,2,4,5,7],[3,6],[8]]=>13
[2,5,1,6,7,4,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>12
[3,5,6,1,7,4,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>13
[3,5,6,1,7,4,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>14
[3,4,6,8,1,7,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[2,4,8,6,1,7,5,3]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[3,5,6,8,7,1,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[4,5,6,7,8,1,3,2]=>[[1,2,3,4,5],[6,7],[8]]=>17
[4,5,6,7,1,3,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>15
[4,5,6,7,1,3,2,8]=>[[1,2,3,4,8],[5,6],[7]]=>14
[4,5,6,7,3,1,8,2]=>[[1,2,3,4,7],[5,8],[6]]=>14
[3,5,6,8,7,4,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[2,5,8,6,7,4,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[1,8,5,6,7,4,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[2,5,8,6,7,4,3,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>21
[8,2,5,3,7,1,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[8,2,4,3,7,1,6,5]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[5,8,2,4,3,7,1,6]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[4,2,5,6,1,8,3,7]=>[[1,3,4,6],[2,7,8],[5]]=>11
[4,2,5,6,1,7,3,8]=>[[1,3,4,6,8],[2,7],[5]]=>8
[6,1,5,7,3,2,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[6,1,5,8,3,2,4,7]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[3,8,2,4,7,1,5,6]=>[[1,2,5,8],[3,4],[6,7]]=>14
[3,6,8,2,4,7,1,5]=>[[1,2,3],[4,5,6],[7,8]]=>21
[4,3,5,6,7,1,8,2]=>[[1,3,4,5,7],[2,8],[6]]=>10
[3,7,1,5,6,8,2,4]=>[[1,2,5,6],[3,4,8],[7]]=>12
[3,7,1,5,8,2,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>10
[8,3,2,4,6,1,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[7,3,2,4,6,1,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[3,2,5,1,7,4,6,8]=>[[1,3,5,8],[2,6,7],[4]]=>8
[3,2,5,1,8,4,6,7]=>[[1,3,5,8],[2,6,7],[4]]=>8
[3,2,5,1,7,8,4,6]=>[[1,3,5,6],[2,7,8],[4]]=>10
[7,8,3,2,4,6,1,5]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[6,1,5,7,8,3,2,4]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[4,2,5,6,1,7,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>9
[5,7,6,1,8,3,4,2]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[5,8,6,1,7,3,4,2]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[6,1,5,8,7,3,2,4]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[8,7,3,2,4,6,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[3,2,5,1,8,7,4,6]=>[[1,3,5],[2,6,8],[4,7]]=>11
[3,2,5,1,6,4,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>6
[3,2,4,1,8,7,5,6]=>[[1,3,5,8],[2,6],[4,7]]=>9
[3,2,5,1,6,8,7,4]=>[[1,3,5,6],[2,7],[4,8]]=>11
[3,8,6,5,1,7,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[3,7,6,5,1,8,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[6,5,1,7,8,4,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[3,2,5,1,6,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>8
[3,2,4,1,8,5,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>6
[3,2,4,1,7,5,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>6
[3,2,4,1,6,8,5,7]=>[[1,3,5,6],[2,7,8],[4]]=>10
[3,2,4,1,8,5,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>10
[8,3,2,4,7,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[3,2,5,1,8,4,7,6]=>[[1,3,5],[2,6,7],[4,8]]=>12
[3,2,5,1,6,7,4,8]=>[[1,3,5,6,8],[2,7],[4]]=>7
[6,5,1,7,4,2,3,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[6,5,1,8,4,2,3,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[8,4,2,3,7,5,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[4,2,6,1,8,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>12
[5,2,6,1,8,3,7,4]=>[[1,3,5],[2,6,7],[4,8]]=>12
[8,4,6,1,7,3,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[5,2,6,1,8,4,7,3]=>[[1,3,5],[2,6,7],[4,8]]=>12
[7,4,2,3,8,5,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[8,5,1,6,4,2,3,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[7,5,1,6,4,2,3,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[3,2,5,1,7,6,4,8]=>[[1,3,5,8],[2,6],[4,7]]=>9
[3,2,5,1,8,6,4,7]=>[[1,3,5,8],[2,6],[4,7]]=>9
[7,3,2,4,8,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[8,6,1,5,7,3,2,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[4,2,6,1,8,5,7,3]=>[[1,3,5],[2,6,7],[4,8]]=>12
[8,5,6,1,7,3,4,2]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[3,6,8,5,1,7,4,2]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[8,5,1,6,7,4,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[3,2,5,1,8,6,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>10
[3,2,4,1,8,6,5,7]=>[[1,3,5,8],[2,6],[4,7]]=>9
[3,2,4,1,5,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>7
[3,2,5,1,7,8,6,4]=>[[1,3,5,6],[2,7],[4,8]]=>11
[7,8,5,1,6,4,2,3]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[3,8,5,1,7,6,4,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[3,7,5,1,8,6,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[8,7,5,1,6,4,2,3]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[3,2,5,1,8,7,6,4]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[6,5,7,3,1,8,4,2]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[4,6,3,7,1,8,5,2]=>[[1,2,4,6],[3,7],[5,8]]=>15
[4,6,3,7,5,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>16
[4,2,6,1,7,5,3,8]=>[[1,3,5,8],[2,6],[4,7]]=>9
[2,5,7,4,1,6,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>14
[2,5,7,4,1,6,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>15
[5,4,7,3,6,1,8,2]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[5,4,7,8,3,1,6,2]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[4,3,7,5,1,8,6,2]=>[[1,3,6],[2,4,7],[5,8]]=>13
[6,4,3,8,5,1,7,2]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[5,8,4,3,6,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[5,4,8,3,6,1,7,2]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[5,4,3,6,7,1,8,2]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[2,5,4,6,1,7,3,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[3,2,5,8,1,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>11
[2,5,4,6,8,1,7,3]=>[[1,2,4,5],[3,7],[6,8]]=>16
[5,2,8,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>12
[4,6,2,1,8,5,7,3]=>[[1,2,5],[3,6,7],[4,8]]=>16
[2,4,1,7,5,8,6,3]=>[[1,2,4,6],[3,5,7],[8]]=>16
[2,4,1,7,5,3,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>14
[2,6,4,1,8,5,3,7]=>[[1,2,5,8],[3,6],[4,7]]=>12
[5,4,8,2,1,6,3,7]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[2,5,8,4,1,6,3,7]=>[[1,2,3,8],[4,6],[5,7]]=>14
[3,2,5,6,1,8,4,7]=>[[1,3,4,6],[2,7,8],[5]]=>11
[4,8,3,2,6,1,5,7]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[3,5,2,8,1,6,4,7]=>[[1,2,4,8],[3,6],[5,7]]=>13
[3,2,1,6,8,5,4,7]=>[[1,4,5],[2,6,8],[3,7]]=>10
[3,2,7,1,5,4,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>8
[3,2,7,1,5,8,6,4]=>[[1,3,6],[2,5,7],[4,8]]=>10
[3,8,2,5,1,6,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>14
[4,8,3,2,6,7,1,5]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[4,3,8,2,6,7,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[4,3,2,6,7,8,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[4,3,2,6,7,1,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[4,3,7,2,6,8,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[4,3,7,8,2,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[2,5,7,4,8,1,6,3]=>[[1,2,3,5],[4,7],[6,8]]=>17
[3,2,5,7,8,1,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>13
[3,2,5,7,1,6,8,4]=>[[1,3,4,7],[2,6],[5,8]]=>11
[3,2,5,7,1,6,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>10
[6,3,2,7,1,5,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[6,3,2,7,1,5,8,4]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[6,3,2,7,8,1,5,4]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[4,2,6,1,7,8,5,3]=>[[1,3,5,6],[2,7],[4,8]]=>11
[6,5,2,1,7,8,4,3]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[2,1,7,5,3,8,6,4]=>[[1,3,6],[2,4,7],[5,8]]=>13
[6,2,1,8,5,3,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>7
[6,3,2,7,1,4,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[6,3,2,1,4,7,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[6,3,2,1,4,7,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[3,5,2,1,7,4,6,8]=>[[1,2,5,8],[3,6,7],[4]]=>11
[3,5,2,1,7,8,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>13
[5,8,4,2,1,7,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[4,6,2,1,8,3,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>16
[2,4,1,7,3,8,6,5]=>[[1,2,4,6],[3,5,7],[8]]=>16
[3,2,7,1,4,8,6,5]=>[[1,3,6],[2,5,7],[4,8]]=>10
[3,5,8,2,1,7,4,6]=>[[1,2,3],[4,6,8],[5,7]]=>17
[4,8,3,7,2,1,5,6]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[4,3,7,2,8,1,5,6]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[4,3,7,2,1,5,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[4,8,3,2,7,1,5,6]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[3,5,2,8,1,7,4,6]=>[[1,2,4],[3,6,8],[5,7]]=>16
[6,3,2,8,1,4,7,5]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[3,2,1,4,7,5,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>8
[5,3,2,1,8,4,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[4,8,3,2,1,5,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[4,3,8,2,1,5,6,7]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[1,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>35
[1,10,9,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>44
[6,2,3,1,5,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>9
[8,4,5,2,3,1,7,6]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[8,6,7,2,5,3,4,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,2,5,3,4,1,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[6,2,5,3,4,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[6,1,5,2,4,3,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[6,4,5,1,3,2,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[6,1,5,3,4,2,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[6,3,5,1,4,2,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[8,3,5,2,4,1,7,6]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[8,3,7,5,6,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[8,3,7,2,4,1,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[8,3,5,1,4,2,7,6]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[8,1,5,3,4,2,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,4,5,1,3,2,7,6]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[2,1,8,4,5,3,7,6]=>[[1,3,5,7],[2,4,8],[6]]=>9
[8,6,7,4,5,1,3,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[8,6,7,1,5,3,4,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,6,7,3,5,1,4,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[8,3,7,5,6,1,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[8,5,7,3,6,1,4,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[8,3,7,4,6,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[8,3,7,4,6,1,5,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[8,3,7,1,6,4,5,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,1,7,3,6,4,5,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[8,1,7,5,6,3,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[8,4,7,5,6,1,3,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[2,1,8,4,7,5,6,3]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[8,1,7,3,4,2,6,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,1,7,3,6,2,5,4]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[8,3,7,1,6,2,5,4]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,3,7,2,6,4,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,2,7,3,6,4,5,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[8,2,7,3,6,1,5,4]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[8,2,7,1,6,3,5,4]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,1,7,2,4,3,6,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,1,3,2,7,4,6,5]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[2,1,8,3,7,4,6,5]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[8,1,5,2,4,3,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,2,7,1,4,3,6,5]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[8,2,7,3,4,1,6,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,2,7,5,6,3,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[8,4,7,5,6,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[8,4,7,2,3,1,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[8,2,3,1,7,4,6,5]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[8,2,3,1,5,4,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[4,2,3,1,8,5,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>10
[4,1,3,2,8,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>10
[8,6,7,2,3,1,5,4]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[8,2,3,1,7,5,6,4]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[8,5,7,2,6,3,4,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,5,7,2,6,1,4,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[8,2,7,5,6,1,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[8,6,7,2,5,1,4,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[8,6,7,1,5,2,4,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,6,7,1,3,2,5,4]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[2,1,8,6,7,3,5,4]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[2,1,8,3,7,5,6,4]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[8,1,3,2,7,5,6,4]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[8,1,7,5,6,2,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[8,1,7,2,6,4,5,3]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[8,2,7,1,6,4,5,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,2,7,4,6,1,5,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[8,2,7,4,6,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[8,4,7,2,6,3,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,4,7,2,6,1,5,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[8,4,7,1,6,2,5,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,1,7,4,6,2,5,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[8,5,7,1,6,2,4,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[2,1,8,5,7,3,6,4]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[8,5,7,4,6,1,3,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[8,5,7,1,6,3,4,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,1,7,4,6,3,5,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[8,4,7,1,6,3,5,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,4,7,3,6,1,5,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[2,4,8,3,6,1,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>17
[6,5,8,1,3,2,7,4]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[4,5,8,6,3,2,7,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>19
[6,5,8,7,3,1,2,4]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[1,5,8,7,3,6,2,4]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[1,7,2,8,4,6,5,3]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[6,7,2,8,4,1,5,3]=>[[1,2,4],[3,5,7],[6,8]]=>19
[3,6,2,8,4,5,7,1]=>[[1,2,4,7],[3,5,6],[8]]=>15
[2,6,1,8,4,5,7,3]=>[[1,2,4,7],[3,5,6],[8]]=>15
[2,8,4,6,1,5,7,3]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[6,3,1,8,4,5,7,2]=>[[1,4,6,7],[2,5],[3,8]]=>8
[3,1,6,8,4,5,7,2]=>[[1,3,4,7],[2,5,6],[8]]=>12
[2,3,6,8,4,5,7,1]=>[[1,2,3,4,7],[5,6],[8]]=>15
[6,3,7,8,4,1,5,2]=>[[1,3,4],[2,5,7],[6,8]]=>16
[1,3,7,8,4,6,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[1,5,7,8,2,4,6,3]=>[[1,2,3,4],[5,6,7],[8]]=>19
[5,1,7,8,2,4,6,3]=>[[1,3,4,7],[2,5,6],[8]]=>12
[3,6,7,8,4,2,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[7,6,1,8,4,2,5,3]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[5,6,8,7,3,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[2,8,3,7,1,6,5,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[5,2,8,7,3,6,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[7,2,1,8,4,6,5,3]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[3,2,7,8,4,6,5,1]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[5,2,7,8,1,4,6,3]=>[[1,3,4],[2,6,7],[5,8]]=>13
[1,2,7,8,5,4,6,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[4,2,1,3,8,5,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>5
[7,2,5,8,3,4,6,1]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[6,2,8,5,4,3,1,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[2,8,3,5,4,1,6,7]=>[[1,2,4,7,8],[3],[5],[6]]=>11
[2,8,4,5,3,1,6,7]=>[[1,2,4,7,8],[3],[5],[6]]=>11
[6,4,8,5,2,3,1,7]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[7,3,5,8,2,4,6,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[4,3,1,2,8,5,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>5
[3,4,2,1,8,5,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>8
[2,7,6,8,4,3,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[5,7,1,8,3,4,6,2]=>[[1,2,4,7],[3,5,6],[8]]=>15
[3,7,5,8,1,4,6,2]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[1,7,5,8,3,4,6,2]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[1,6,8,5,4,3,2,7]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[4,6,8,5,1,3,2,7]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[5,6,8,1,4,3,2,7]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[7,5,8,6,3,4,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[2,4,8,3,6,5,1,7]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[2,8,4,1,5,6,3,7]=>[[1,2,5,6,8],[3,7],[4]]=>9
[4,1,8,3,5,6,2,7]=>[[1,3,5,6,8],[2,4],[7]]=>8
[5,6,8,4,1,3,2,7]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[4,6,8,1,5,3,2,7]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[1,6,8,4,5,3,2,7]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[1,7,3,8,5,4,6,2]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[3,7,1,8,5,4,6,2]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[2,7,3,8,4,6,5,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[7,1,3,8,4,6,5,2]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[5,7,8,4,3,6,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[2,8,7,4,1,6,5,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[2,8,5,4,3,1,6,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[6,5,8,4,2,3,1,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[4,1,3,2,8,5,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>6
[1,4,3,2,8,5,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>8
[7,3,2,8,5,4,6,1]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[6,4,8,2,5,3,1,7]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[2,8,4,3,5,1,6,7]=>[[1,2,5,7,8],[3],[4],[6]]=>10
[2,8,3,4,5,1,6,7]=>[[1,2,4,5,7,8],[3],[6]]=>7
[6,2,8,4,5,3,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[7,2,3,8,5,4,6,1]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[4,2,3,1,8,5,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>6
[3,2,1,4,8,5,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>5
[5,1,3,2,4,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>7
[2,8,1,5,3,4,7,6]=>[[1,2,6,7],[3,4,8],[5]]=>10
[1,2,8,4,5,3,7,6]=>[[1,2,3,5,7],[4,8],[6]]=>13
[1,4,2,8,5,3,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,8,4,2,5,3,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>8
[8,1,5,3,2,4,6,7]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[3,8,1,5,2,4,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>8
[3,5,1,4,8,2,6,7]=>[[1,2,5,8],[3,4,7],[6]]=>10
[1,5,2,8,4,3,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,2,8,5,4,3,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[1,2,5,4,3,8,6,7]=>[[1,2,3,6,8],[4,7],[5]]=>11
[1,2,4,8,5,3,7,6]=>[[1,2,3,4,7],[5,8],[6]]=>14
[1,2,7,4,8,5,3,6]=>[[1,2,3,5,8],[4,6],[7]]=>13
[1,5,2,7,8,4,3,6]=>[[1,2,4,5],[3,6,8],[7]]=>16
[5,1,2,7,4,8,3,6]=>[[1,3,4,6],[2,5,8],[7]]=>12
[8,3,5,1,4,7,2,6]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[2,8,1,5,4,7,3,6]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[1,2,8,5,7,4,3,6]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[1,2,4,8,7,5,3,6]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[2,8,1,4,3,7,6,5]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[6,1,2,8,7,4,3,5]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[6,4,1,2,8,7,3,5]=>[[1,4,5,8],[2,6],[3,7]]=>8
[3,6,4,8,1,7,2,5]=>[[1,2,4],[3,6,8],[5,7]]=>16
[7,6,1,4,2,8,3,5]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[7,1,6,2,8,4,3,5]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[1,6,7,2,8,4,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>17
[6,7,1,4,2,8,3,5]=>[[1,2,6,8],[3,4,7],[5]]=>9
[6,3,7,1,4,8,2,5]=>[[1,3,6],[2,5,8],[4,7]]=>9
[3,7,8,1,5,2,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>14
[7,1,2,8,5,3,4,6]=>[[1,3,4,7,8],[2,5],[6]]=>8
[1,7,2,8,4,5,3,6]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,4,2,7,8,5,3,6]=>[[1,2,4,5],[3,6,8],[7]]=>16
[6,1,2,8,4,3,7,5]=>[[1,3,4,7],[2,5],[6,8]]=>14
[6,4,1,2,8,3,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>9
[7,6,1,3,2,4,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[6,7,1,3,2,4,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>10
[1,2,7,3,5,8,4,6]=>[[1,2,3,5,6],[4,8],[7]]=>14
[1,2,7,5,8,3,4,6]=>[[1,2,3,5,8],[4,7],[6]]=>12
[5,8,1,3,7,2,4,6]=>[[1,2,5,8],[3,4],[6,7]]=>14
[1,2,5,8,7,3,4,6]=>[[1,2,3,4,8],[5,7],[6]]=>13
[1,2,5,8,3,7,4,6]=>[[1,2,3,4,8],[5,6],[7]]=>14
[2,8,1,7,3,5,4,6]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[8,6,1,3,2,4,7,5]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[4,2,8,1,7,3,6,5]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[2,8,1,7,4,3,6,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[7,1,2,8,4,3,6,5]=>[[1,3,4,7],[2,5],[6,8]]=>14
[1,2,8,4,7,5,3,6]=>[[1,2,3,5,8],[4],[6],[7]]=>14
[1,2,8,7,4,5,3,6]=>[[1,2,3,6,8],[4],[5],[7]]=>13
[2,8,1,7,5,3,4,6]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[8,3,7,1,5,2,4,6]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[3,8,6,1,4,7,2,5]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[8,6,1,4,2,7,3,5]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[8,1,6,2,7,4,3,5]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[7,1,2,8,6,4,3,5]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[7,4,1,2,8,6,3,5]=>[[1,4,5,8],[2,6],[3,7]]=>8
[3,7,4,8,1,6,2,5]=>[[1,2,4],[3,6,8],[5,7]]=>16
[3,4,8,7,1,6,2,5]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[4,2,8,1,7,6,3,5]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[2,8,1,7,6,4,3,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[7,8,3,4,1,5,2,6]=>[[1,2,6,8],[3,4],[5,7]]=>13
[7,8,3,4,1,6,2,5]=>[[1,2,6],[3,4,8],[5,7]]=>14
[6,8,3,4,1,7,2,5]=>[[1,2,6],[3,4,8],[5,7]]=>14
[6,7,3,4,1,8,2,5]=>[[1,2,6],[3,4,8],[5,7]]=>14
[5,7,3,4,1,8,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>14
[5,8,3,4,1,7,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>14
[5,8,3,4,1,6,2,7]=>[[1,2,6,8],[3,4],[5,7]]=>13
[6,8,3,4,1,5,2,7]=>[[1,2,6,8],[3,4],[5,7]]=>13
[6,7,3,4,1,5,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>13
[5,7,3,4,1,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>13
[5,6,2,8,3,4,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>14
[5,6,2,7,3,4,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>14
[4,6,2,8,3,5,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>14
[4,7,3,5,1,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>13
[4,8,3,5,1,6,2,7]=>[[1,2,6,8],[3,4],[5,7]]=>13
[4,8,3,5,1,7,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>14
[4,7,3,5,1,8,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>14
[5,6,2,3,1,7,4,8]=>[[1,2,6,8],[3,4,7],[5]]=>9
[5,6,2,4,1,8,3,7]=>[[1,2,6],[3,4,8],[5,7]]=>14
[5,6,2,4,1,7,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>13
[4,6,2,5,1,7,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>13
[4,6,2,5,1,8,3,7]=>[[1,2,6],[3,4,8],[5,7]]=>14
[4,5,1,8,3,7,2,6]=>[[1,2,4],[3,5,6],[7,8]]=>20
[4,5,1,7,3,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>15
[4,6,2,7,3,8,1,5]=>[[1,2,4,6],[3,5,8],[7]]=>15
[5,6,2,7,3,8,1,4]=>[[1,2,4,6],[3,5,8],[7]]=>15
[5,6,2,7,4,8,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>17
[5,6,3,8,4,7,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>20
[5,6,2,8,4,7,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>20
[5,6,2,8,3,7,1,4]=>[[1,2,4],[3,5,6],[7,8]]=>20
[4,6,2,8,3,7,1,5]=>[[1,2,4],[3,5,6],[7,8]]=>20
[4,5,1,7,3,6,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>14
[4,5,1,8,3,6,2,7]=>[[1,2,4,8],[3,5,6],[7]]=>14
[9,2,1,3,4,5,6,7,8]=>[[1,4,5,6,7,8,9],[2],[3]]=>3
[10,2,1,3,4,5,6,7,8,9]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>3
[9,2,3,1,4,5,6,7,8]=>[[1,3,5,6,7,8,9],[2],[4]]=>4
[4,2,3,5,6,7,8,9,1]=>[[1,3,4,5,6,7,8],[2],[9]]=>9
[3,4,2,5,6,7,8,9,1]=>[[1,2,4,5,6,7,8],[3],[9]]=>10
[6,5,3,2,1,4,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[4,6,3,5,2,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[8,7,3,5,2,4,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[6,8,2,4,5,7,3,1]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[8,7,2,4,5,3,1,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[3,6,1,4,5,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>11
[8,3,7,4,5,2,1,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>15
[6,3,8,4,5,7,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[5,8,7,4,3,6,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>24
[2,8,7,4,3,6,1,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[8,1,7,4,3,6,2,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[8,7,3,5,1,4,2,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[2,1,6,8,5,7,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[6,8,3,5,1,7,4,2]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[5,1,8,4,7,6,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[2,5,8,4,7,6,3,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[4,3,8,1,5,6,7,2]=>[[1,3,6,7],[2,5],[4,8]]=>9
[4,8,1,3,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>11
[5,8,7,4,1,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[5,8,3,6,1,4,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[4,8,3,6,1,2,7,5]=>[[1,2,7],[3,4,8],[5,6]]=>13
[3,8,7,4,1,6,2,5]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[3,8,1,2,5,6,7,4]=>[[1,2,5,6,7],[3,4],[8]]=>11
[8,7,1,4,2,6,3,5]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[8,6,3,1,2,4,7,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[8,1,7,4,5,2,3,6]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[2,8,7,4,5,1,3,6]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[8,7,2,4,1,6,3,5]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[5,8,3,6,2,4,7,1]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[8,6,3,2,1,4,7,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[8,7,3,5,2,1,4,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[5,8,3,6,2,1,7,4]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[5,8,7,4,2,6,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[2,6,8,4,5,7,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>18
[6,1,8,4,5,7,2,3]=>[[1,3,5,6],[2,4],[7,8]]=>14
[6,8,3,5,1,7,2,4]=>[[1,2,6],[3,4,8],[5,7]]=>14
[2,1,5,8,3,6,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>12
[5,8,3,6,1,2,7,4]=>[[1,2,7],[3,4,8],[5,6]]=>13
[4,1,8,2,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>9
[2,4,8,1,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>13
[4,8,2,1,5,6,7,3]=>[[1,2,6,7],[3,5],[4,8]]=>12
[3,4,8,2,5,6,7,1]=>[[1,2,3,6,7],[4,5],[8]]=>13
[5,8,1,4,7,6,2,3]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[5,8,3,1,6,2,7,4]=>[[1,2,7],[3,5,8],[4,6]]=>11
[4,5,3,8,6,1,7,2]=>[[1,2,4,7],[3,5],[6,8]]=>16
[3,4,1,8,5,6,7,2]=>[[1,2,4,6,7],[3,5],[8]]=>12
[2,4,6,8,10,1,3,5,7,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[2,4,6,9,10,1,3,5,7,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[2,4,7,8,10,1,3,5,6,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[2,4,7,9,10,1,3,5,6,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[2,4,8,9,10,1,3,5,6,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[2,5,6,8,10,1,3,4,7,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[2,5,6,9,10,1,3,4,7,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[2,5,7,8,10,1,3,4,6,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[2,5,7,9,10,1,3,4,6,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[2,5,8,9,10,1,3,4,6,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[2,6,7,8,10,1,3,4,5,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[2,6,7,9,10,1,3,4,5,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[2,6,8,9,10,1,3,4,5,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[2,7,8,9,10,1,3,4,5,6]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[3,4,6,8,10,1,2,5,7,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[3,4,6,9,10,1,2,5,7,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[3,4,7,8,10,1,2,5,6,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[3,4,7,9,10,1,2,5,6,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[3,4,8,9,10,1,2,5,6,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[3,5,6,8,10,1,2,4,7,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[3,5,6,9,10,1,2,4,7,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[3,5,7,8,10,1,2,4,6,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[3,5,7,9,10,1,2,4,6,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[3,5,8,9,10,1,2,4,6,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[3,6,7,8,10,1,2,4,5,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[3,6,7,9,10,1,2,4,5,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[3,6,8,9,10,1,2,4,5,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[3,7,8,9,10,1,2,4,5,6]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[4,5,6,8,10,1,2,3,7,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[4,5,6,9,10,1,2,3,7,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[4,5,7,8,10,1,2,3,6,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[4,5,7,9,10,1,2,3,6,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[4,5,8,9,10,1,2,3,6,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[4,6,7,8,10,1,2,3,5,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[4,6,7,9,10,1,2,3,5,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[4,6,8,9,10,1,2,3,5,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[4,7,8,9,10,1,2,3,5,6]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[5,6,7,8,10,1,2,3,4,9]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[5,6,7,9,10,1,2,3,4,8]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[5,6,8,9,10,1,2,3,4,7]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[5,7,8,9,10,1,2,3,4,6]=>[[1,2,3,4,5],[6,7,8,9,10]]=>25
[2,4,6,8,10,12,1,3,5,7,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,4,6,8,11,12,1,3,5,7,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,4,6,9,10,12,1,3,5,7,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,4,6,9,11,12,1,3,5,7,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,4,6,10,11,12,1,3,5,7,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,4,7,8,10,12,1,3,5,6,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,4,7,8,11,12,1,3,5,6,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,4,7,9,10,12,1,3,5,6,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,4,7,9,11,12,1,3,5,6,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,4,7,10,11,12,1,3,5,6,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,4,8,9,10,12,1,3,5,6,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,4,8,9,11,12,1,3,5,6,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,4,8,10,11,12,1,3,5,6,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,4,9,10,11,12,1,3,5,6,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,5,6,8,10,12,1,3,4,7,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,5,6,8,11,12,1,3,4,7,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,5,6,9,10,12,1,3,4,7,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,5,6,9,11,12,1,3,4,7,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,5,6,10,11,12,1,3,4,7,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,5,7,8,10,12,1,3,4,6,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,5,7,8,11,12,1,3,4,6,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,5,7,9,10,12,1,3,4,6,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,5,7,9,11,12,1,3,4,6,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,5,7,10,11,12,1,3,4,6,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,5,8,9,10,12,1,3,4,6,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,5,8,9,11,12,1,3,4,6,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,5,8,10,11,12,1,3,4,6,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,5,9,10,11,12,1,3,4,6,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,6,7,8,10,12,1,3,4,5,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,6,7,8,11,12,1,3,4,5,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,6,7,9,10,12,1,3,4,5,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,6,7,9,11,12,1,3,4,5,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,6,7,10,11,12,1,3,4,5,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,6,8,9,10,12,1,3,4,5,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,6,8,9,11,12,1,3,4,5,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,6,8,10,11,12,1,3,4,5,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,6,9,10,11,12,1,3,4,5,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,7,8,9,10,12,1,3,4,5,6,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,7,8,9,11,12,1,3,4,5,6,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,7,8,10,11,12,1,3,4,5,6,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,7,9,10,11,12,1,3,4,5,6,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[2,8,9,10,11,12,1,3,4,5,6,7]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,4,6,8,10,12,1,2,5,7,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,4,6,8,11,12,1,2,5,7,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,4,6,9,10,12,1,2,5,7,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,4,6,9,11,12,1,2,5,7,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,4,6,10,11,12,1,2,5,7,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,4,7,8,10,12,1,2,5,6,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,4,7,8,11,12,1,2,5,6,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,4,7,9,10,12,1,2,5,6,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,4,7,9,11,12,1,2,5,6,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,4,7,10,11,12,1,2,5,6,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,4,8,9,10,12,1,2,5,6,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,4,8,9,11,12,1,2,5,6,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,4,8,10,11,12,1,2,5,6,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,4,9,10,11,12,1,2,5,6,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,5,6,8,10,12,1,2,4,7,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,5,6,8,11,12,1,2,4,7,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,5,6,9,10,12,1,2,4,7,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,5,6,9,11,12,1,2,4,7,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,5,6,10,11,12,1,2,4,7,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,5,7,8,10,12,1,2,4,6,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,5,7,8,11,12,1,2,4,6,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,5,7,9,10,12,1,2,4,6,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,5,7,9,11,12,1,2,4,6,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,5,7,10,11,12,1,2,4,6,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,5,8,9,10,12,1,2,4,6,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,5,8,9,11,12,1,2,4,6,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,5,8,10,11,12,1,2,4,6,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,5,9,10,11,12,1,2,4,6,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,6,7,8,10,12,1,2,4,5,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,6,7,8,11,12,1,2,4,5,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,6,7,9,10,12,1,2,4,5,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,6,7,9,11,12,1,2,4,5,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,6,7,10,11,12,1,2,4,5,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,6,8,9,10,12,1,2,4,5,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,6,8,9,11,12,1,2,4,5,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,6,8,10,11,12,1,2,4,5,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,6,9,10,11,12,1,2,4,5,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,7,8,9,10,12,1,2,4,5,6,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,7,8,9,11,12,1,2,4,5,6,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,7,8,10,11,12,1,2,4,5,6,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,7,9,10,11,12,1,2,4,5,6,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[3,8,9,10,11,12,1,2,4,5,6,7]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,5,6,8,10,12,1,2,3,7,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,5,6,8,11,12,1,2,3,7,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,5,6,9,10,12,1,2,3,7,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,5,6,9,11,12,1,2,3,7,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,5,6,10,11,12,1,2,3,7,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,5,7,8,10,12,1,2,3,6,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,5,7,8,11,12,1,2,3,6,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,5,7,9,10,12,1,2,3,6,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,5,7,9,11,12,1,2,3,6,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,5,7,10,11,12,1,2,3,6,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,5,8,9,10,12,1,2,3,6,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,5,8,9,11,12,1,2,3,6,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,5,8,10,11,12,1,2,3,6,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,5,9,10,11,12,1,2,3,6,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,6,7,8,10,12,1,2,3,5,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,6,7,8,11,12,1,2,3,5,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,6,7,9,10,12,1,2,3,5,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,6,7,9,11,12,1,2,3,5,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,6,7,10,11,12,1,2,3,5,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,6,8,9,10,12,1,2,3,5,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,6,8,9,11,12,1,2,3,5,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,6,8,10,11,12,1,2,3,5,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,6,9,10,11,12,1,2,3,5,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,7,8,9,10,12,1,2,3,5,6,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,7,8,9,11,12,1,2,3,5,6,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,7,8,10,11,12,1,2,3,5,6,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,7,9,10,11,12,1,2,3,5,6,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,8,9,10,11,12,1,2,3,5,6,7]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[5,6,7,8,10,12,1,2,3,4,9,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[5,6,7,8,11,12,1,2,3,4,9,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[5,6,7,9,10,12,1,2,3,4,8,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[5,6,7,9,11,12,1,2,3,4,8,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[5,6,7,10,11,12,1,2,3,4,8,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[5,6,8,9,10,12,1,2,3,4,7,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[5,6,8,9,11,12,1,2,3,4,7,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[5,6,8,10,11,12,1,2,3,4,7,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[5,6,9,10,11,12,1,2,3,4,7,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[5,7,8,9,10,12,1,2,3,4,6,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[5,7,8,9,11,12,1,2,3,4,6,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[5,7,8,10,11,12,1,2,3,4,6,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[5,7,9,10,11,12,1,2,3,4,6,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[5,8,9,10,11,12,1,2,3,4,6,7]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[6,7,8,9,10,12,1,2,3,4,5,11]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[6,7,8,9,11,12,1,2,3,4,5,10]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[6,7,8,10,11,12,1,2,3,4,5,9]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[6,7,9,10,11,12,1,2,3,4,5,8]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[6,8,9,10,11,12,1,2,3,4,5,7]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[7,8,9,10,11,12,1,2,3,4,5,6]=>[[1,2,3,4,5,6],[7,8,9,10,11,12]]=>36
[4,5,7,6,2,3,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[3,5,7,2,6,4,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[2,5,7,3,6,4,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[1,5,7,3,6,8,4,2]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[8,4,3,7,6,1,5,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[6,7,2,3,5,4,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[5,2,7,3,6,4,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[8,3,4,7,6,1,5,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[8,2,4,7,1,6,5,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[3,1,4,7,6,8,5,2]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[4,1,3,7,6,8,5,2]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[5,1,7,3,6,8,4,2]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[6,7,1,3,5,8,4,2]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[5,8,7,3,6,1,4,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>22
[4,8,3,7,6,1,5,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>24
[3,8,4,7,6,1,5,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[2,8,4,7,1,6,5,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[8,1,4,7,2,6,5,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[8,1,3,2,7,6,5,4]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[2,8,3,1,7,6,5,4]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[3,8,2,1,7,6,5,4]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[6,7,1,2,8,5,4,3]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[8,2,3,1,7,6,5,4]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[8,3,2,1,7,6,5,4]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[3,4,1,7,6,8,5,2]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[1,4,2,7,8,6,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[8,4,2,7,1,6,5,3]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[8,5,7,2,1,6,4,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>18
[1,5,7,2,8,6,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[2,5,7,1,8,6,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[3,5,7,1,6,8,4,2]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[6,7,4,5,8,1,3,2]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[5,4,7,6,8,1,3,2]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[2,5,7,8,1,6,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[1,5,7,8,2,6,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[8,5,7,1,2,6,4,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[8,4,1,7,2,6,5,3]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[1,4,8,7,2,6,5,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[3,4,8,7,6,1,5,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[4,3,8,7,6,1,5,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[5,3,7,8,6,1,4,2]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[6,7,2,8,1,5,4,3]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[5,2,7,8,1,6,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[4,2,8,7,1,6,5,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[3,2,8,1,7,6,5,4]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[1,3,8,2,7,6,5,4]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[8,3,1,2,7,6,5,4]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[8,2,1,3,7,6,5,4]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[1,2,8,3,7,6,5,4]=>[[1,2,3,5],[4],[6],[7],[8]]=>21
[2,1,8,3,7,6,5,4]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[4,1,8,7,2,6,5,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[5,1,7,8,2,6,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[6,7,1,8,2,5,4,3]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[5,8,7,1,2,6,4,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[4,8,1,7,2,6,5,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[3,8,1,2,7,6,5,4]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[2,8,1,3,7,6,5,4]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[1,8,2,3,7,6,5,4]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[8,1,2,3,7,6,5,4]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[6,7,1,8,4,5,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>20
[3,7,1,5,8,2,6,4]=>[[1,2,5],[3,4,7],[6,8]]=>16
[2,7,1,5,8,3,6,4]=>[[1,2,5],[3,4,7],[6,8]]=>16
[2,6,5,1,8,3,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>16
[3,6,5,1,8,2,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>16
[4,6,5,1,8,7,2,3]=>[[1,2,5],[3,6,8],[4,7]]=>15
[5,6,4,1,8,7,2,3]=>[[1,2,5],[3,6,8],[4,7]]=>15
[8,1,4,5,7,6,2,3]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[6,4,5,1,8,7,2,3]=>[[1,3,5],[2,6,8],[4,7]]=>11
[5,4,6,1,8,7,2,3]=>[[1,3,5],[2,6,8],[4,7]]=>11
[4,5,6,1,8,7,2,3]=>[[1,2,3,5],[4,6,8],[7]]=>17
[3,5,6,1,8,2,7,4]=>[[1,2,3,5],[4,6,7],[8]]=>18
[2,5,6,1,8,3,7,4]=>[[1,2,3,5],[4,6,7],[8]]=>18
[2,4,6,1,3,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>17
[3,4,6,1,2,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>17
[4,3,6,1,2,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>10
[5,3,6,1,8,2,7,4]=>[[1,3,5],[2,6,7],[4,8]]=>12
[7,3,1,5,8,2,6,4]=>[[1,4,5],[2,6,7],[3,8]]=>11
[8,1,3,5,7,2,6,4]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[8,1,2,5,7,3,6,4]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[7,2,1,5,8,3,6,4]=>[[1,4,5],[2,6,7],[3,8]]=>11
[6,2,5,1,8,3,7,4]=>[[1,3,5],[2,6,7],[4,8]]=>12
[4,2,6,1,3,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>10
[2,3,6,1,4,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>17
[4,2,5,3,1,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>13
[6,2,4,1,3,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>10
[7,2,1,4,3,8,6,5]=>[[1,4,6],[2,5,7],[3,8]]=>9
[8,1,2,4,3,7,6,5]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[8,1,3,4,2,7,6,5]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[7,3,1,4,2,8,6,5]=>[[1,4,6],[2,5,7],[3,8]]=>9
[6,3,4,1,2,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>10
[4,6,3,1,2,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>13
[3,6,4,1,2,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>13
[2,6,4,1,3,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>13
[2,7,1,4,3,8,6,5]=>[[1,2,6],[3,4,7],[5,8]]=>15
[3,7,1,4,2,8,6,5]=>[[1,2,6],[3,4,7],[5,8]]=>15
[4,7,1,3,2,8,6,5]=>[[1,2,6],[3,4,7],[5,8]]=>15
[8,1,6,7,2,3,5,4]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[4,7,1,2,3,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>13
[3,7,1,2,4,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>13
[2,7,1,3,4,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>13
[2,6,3,1,4,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>14
[3,6,2,1,4,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>13
[5,6,2,1,8,3,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>16
[6,5,2,1,8,3,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[8,1,5,2,7,3,6,4]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[8,1,4,2,3,7,6,5]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[7,4,1,2,3,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>10
[6,4,2,1,3,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[5,4,2,3,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[3,5,2,4,1,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>15
[6,3,2,1,4,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[7,3,1,2,4,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>10
[8,1,3,2,4,7,6,5]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[8,1,2,3,4,7,6,5]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[7,2,1,3,4,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>10
[6,2,3,1,4,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>11
[2,4,3,6,1,5,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>13
[2,4,3,6,5,8,1,7]=>[[1,2,4,6],[3,5,8],[7]]=>15
[2,4,6,3,5,8,7,1]=>[[1,2,3,6],[4,5,7],[8]]=>17
[2,4,6,3,5,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>16
[2,4,6,1,5,3,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>15
[4,2,6,5,3,1,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[4,2,6,5,1,8,7,3]=>[[1,3,6],[2,4,7],[5,8]]=>13
[4,2,6,5,8,1,7,3]=>[[1,3,5],[2,4,7],[6,8]]=>14
[4,2,6,5,8,1,3,7]=>[[1,3,5],[2,4,8],[6,7]]=>13
[4,2,6,5,8,3,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[2,4,6,1,5,8,3,7]=>[[1,2,3,6],[4,5,8],[7]]=>16
[2,4,1,6,5,8,3,7]=>[[1,2,4,6],[3,5,8],[7]]=>15
[2,1,4,6,5,8,3,7]=>[[1,3,4,6],[2,5,8],[7]]=>12
[2,4,1,6,5,8,7,3]=>[[1,2,4,6],[3,5,7],[8]]=>16
[2,4,6,1,5,8,7,3]=>[[1,2,3,6],[4,5,7],[8]]=>17
[4,2,6,5,8,3,7,1]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[2,6,4,3,8,7,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[4,2,6,8,5,3,7,1]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[2,4,6,8,1,5,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>19
[2,4,6,1,8,5,7,3]=>[[1,2,3,5],[4,6,7],[8]]=>18
[2,4,1,6,8,5,7,3]=>[[1,2,4,5],[3,6,7],[8]]=>17
[2,1,4,6,8,5,7,3]=>[[1,3,4,5],[2,6,7],[8]]=>14
[2,1,4,6,8,5,3,7]=>[[1,3,4,5],[2,6,8],[7]]=>13
[2,4,1,6,8,5,3,7]=>[[1,2,4,5],[3,6,8],[7]]=>16
[2,4,6,1,8,5,3,7]=>[[1,2,3,5],[4,6,8],[7]]=>17
[2,4,6,8,1,5,3,7]=>[[1,2,3,4],[5,6,8],[7]]=>18
[4,2,6,8,5,1,3,7]=>[[1,3,4],[2,5,8],[6,7]]=>15
[2,4,6,8,3,5,7,1]=>[[1,2,3,4],[5,6,7],[8]]=>19
[2,4,6,8,3,5,1,7]=>[[1,2,3,4],[5,6,8],[7]]=>18
[2,4,6,8,3,1,5,7]=>[[1,2,3,4],[5,7,8],[6]]=>17
[2,4,6,3,1,8,5,7]=>[[1,2,3,6],[4,7,8],[5]]=>15
[2,4,6,3,8,1,5,7]=>[[1,2,3,5],[4,7,8],[6]]=>16
[2,4,6,3,8,5,1,7]=>[[1,2,3,5],[4,6,8],[7]]=>17
[2,4,6,3,8,5,7,1]=>[[1,2,3,5],[4,6,7],[8]]=>18
[2,4,3,6,8,5,7,1]=>[[1,2,4,5],[3,6,7],[8]]=>17
[2,4,3,6,8,5,1,7]=>[[1,2,4,5],[3,6,8],[7]]=>16
[2,4,3,6,8,1,5,7]=>[[1,2,4,5],[3,7,8],[6]]=>15
[2,4,3,1,6,8,5,7]=>[[1,2,5,6],[3,7,8],[4]]=>13
[2,4,1,3,6,8,7,5]=>[[1,2,5,6],[3,4,7],[8]]=>13
[2,4,3,6,1,8,7,5]=>[[1,2,4,6],[3,7],[5,8]]=>15
[2,4,3,6,8,1,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>16
[4,6,5,2,8,7,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[2,4,6,3,8,1,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>17
[2,1,4,6,8,3,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>14
[2,4,1,6,8,3,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>17
[2,4,6,1,8,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>18
[2,4,6,8,1,3,7,5]=>[[1,2,3,4],[5,6,7],[8]]=>19
[2,4,6,8,3,1,7,5]=>[[1,2,3,4],[5,7],[6,8]]=>18
[4,6,2,8,5,7,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>20
[6,2,4,8,7,1,3,5]=>[[1,3,4],[2,5,8],[6,7]]=>15
[6,4,2,8,7,5,3,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[2,6,4,8,1,7,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[2,6,4,1,8,7,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[2,6,1,4,8,7,5,3]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[2,1,6,4,8,7,5,3]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[2,6,1,4,8,7,3,5]=>[[1,2,5],[3,4,6],[7,8]]=>17
[6,4,2,8,7,5,1,3]=>[[1,4],[2,5],[3,6],[7,8]]=>18
[1,6,4,7,3,8,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[1,3,7,4,5,8,2,6]=>[[1,2,3,5,6],[4,8],[7]]=>14
[5,2,4,7,3,6,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[1,7,6,3,4,8,2,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[8,1,6,3,7,2,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[7,1,6,3,8,2,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[1,2,7,4,8,3,5,6]=>[[1,2,3,5,8],[4,7],[6]]=>12
[6,1,7,3,4,8,2,5]=>[[1,3,5,6],[2,4,8],[7]]=>10
[2,1,7,4,5,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>10
[5,1,4,7,3,8,2,6]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[4,3,1,7,5,8,2,6]=>[[1,4,6],[2,5,8],[3,7]]=>8
[2,8,6,3,7,1,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[6,8,1,3,7,2,4,5]=>[[1,2,5,8],[3,4],[6,7]]=>14
[5,8,2,1,7,3,4,6]=>[[1,2,7,8],[3,5],[4,6]]=>10
[5,7,2,1,8,3,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>11
[6,7,1,3,8,2,4,5]=>[[1,2,5,8],[3,4,7],[6]]=>10
[5,1,2,4,8,3,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>9
[4,3,6,1,5,8,2,7]=>[[1,3,6],[2,5,8],[4,7]]=>9
[2,6,1,4,5,8,3,7]=>[[1,2,5,6],[3,4,8],[7]]=>12
[6,5,1,3,4,8,2,7]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[1,6,2,4,8,3,5,7]=>[[1,2,4,5,8],[3,7],[6]]=>11
[8,5,1,3,7,2,4,6]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[1,5,3,2,8,4,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>8
[6,4,2,1,5,8,3,7]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[2,5,3,4,1,8,6,7]=>[[1,2,4,6,8],[3,7],[5]]=>10
[4,3,5,2,1,8,6,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[2,6,4,8,7,1,3,5]=>[[1,2,4],[3,5,8],[6,7]]=>18
[1,6,4,8,7,2,3,5]=>[[1,2,4,8],[3,5],[6,7]]=>15
[2,7,8,3,6,1,4,5]=>[[1,2,3,8],[4,5],[6,7]]=>16
[4,3,2,8,7,1,5,6]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[5,2,4,8,7,1,3,6]=>[[1,3,4],[2,5,8],[6,7]]=>15
[6,2,8,3,7,1,4,5]=>[[1,3,5,8],[2,4],[6,7]]=>12
[5,1,4,8,7,2,3,6]=>[[1,3,4,8],[2,5],[6,7]]=>13
[4,8,2,5,1,3,7,6]=>[[1,2,7],[3,4,8],[5,6]]=>13
[4,7,2,5,1,3,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>13
[3,7,2,1,5,4,8,6]=>[[1,2,7],[3,5,8],[4,6]]=>11
[3,8,2,1,5,4,7,6]=>[[1,2,7],[3,5,8],[4,6]]=>11
[8,3,2,1,5,4,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[8,3,2,1,6,4,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[8,4,2,5,1,6,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[8,3,2,1,5,6,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[8,3,2,1,4,6,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[3,8,2,1,4,5,7,6]=>[[1,2,6,7],[3,5],[4,8]]=>12
[3,7,2,1,4,5,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>9
[3,2,7,1,4,6,8,5]=>[[1,3,6,7],[2,5],[4,8]]=>9
[3,2,8,1,4,6,7,5]=>[[1,3,6,7],[2,5],[4,8]]=>9
[3,2,8,1,4,7,6,5]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[3,8,2,1,4,7,5,6]=>[[1,2,6,8],[3,5],[4,7]]=>11
[3,8,2,1,5,7,4,6]=>[[1,2,6],[3,5,8],[4,7]]=>12
[4,8,2,5,1,7,3,6]=>[[1,2,6],[3,4,8],[5,7]]=>14
[4,7,2,5,1,8,3,6]=>[[1,2,6],[3,4,8],[5,7]]=>14
[3,7,2,1,5,8,4,6]=>[[1,2,6],[3,5,8],[4,7]]=>12
[3,7,2,1,4,8,5,6]=>[[1,2,6,8],[3,5,7],[4]]=>8
[3,2,1,7,5,8,6,4]=>[[1,4,6],[2,5,7],[3,8]]=>9
[3,2,7,1,6,8,4,5]=>[[1,3,6],[2,5,8],[4,7]]=>9
[4,2,7,6,1,8,3,5]=>[[1,3,6],[2,4,8],[5,7]]=>12
[4,3,7,6,8,1,2,5]=>[[1,3,5],[2,4,8],[6,7]]=>13
[4,3,8,6,7,1,2,5]=>[[1,3,5],[2,4,8],[6,7]]=>13
[4,2,8,6,1,7,3,5]=>[[1,3,6],[2,4,8],[5,7]]=>12
[3,2,8,1,6,7,4,5]=>[[1,3,6],[2,5,8],[4,7]]=>9
[3,2,1,8,7,5,6,4]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[3,8,2,1,7,4,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>10
[3,2,8,1,7,4,6,5]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[3,2,8,1,6,4,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>8
[3,2,7,1,6,4,8,5]=>[[1,3,7],[2,5,8],[4,6]]=>8
[4,2,7,6,1,3,8,5]=>[[1,3,7],[2,4,8],[5,6]]=>11
[4,2,8,6,1,3,7,5]=>[[1,3,7],[2,4,8],[5,6]]=>11
[4,2,8,7,1,3,6,5]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[5,7,8,3,4,1,2,6]=>[[1,2,3],[4,5,8],[6,7]]=>19
[4,2,7,8,1,3,6,5]=>[[1,3,4],[2,6,7],[5,8]]=>13
[4,2,6,8,1,3,7,5]=>[[1,3,4],[2,6,7],[5,8]]=>13
[4,2,6,7,1,3,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>10
[3,2,6,1,8,4,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>12
[3,7,2,1,8,4,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>11
[3,7,2,1,8,5,4,6]=>[[1,2,5],[3,6,8],[4,7]]=>15
[4,7,3,8,5,1,2,6]=>[[1,2,4],[3,5,8],[6,7]]=>18
[4,3,7,8,6,1,2,5]=>[[1,3,4],[2,5,8],[6,7]]=>15
[3,2,7,1,8,6,4,5]=>[[1,3,5],[2,6,8],[4,7]]=>11
[3,2,1,6,8,5,7,4]=>[[1,4,5],[2,6,7],[3,8]]=>11
[3,2,6,1,8,7,4,5]=>[[1,3,5],[2,6,8],[4,7]]=>11
[4,2,6,8,1,7,3,5]=>[[1,3,4],[2,6,8],[5,7]]=>12
[4,3,6,8,7,1,2,5]=>[[1,3,4],[2,5,8],[6,7]]=>15
[4,2,6,7,1,8,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>11
[3,2,6,1,7,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>10
[3,4,6,8,7,5,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[5,3,6,4,8,7,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>15
[1,4,6,2,7,8,5,3]=>[[1,2,3,5,6],[4,7],[8]]=>15
[3,1,8,5,4,2,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[1,2,7,5,4,8,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[6,3,7,5,4,8,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[7,3,8,5,4,6,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[3,8,7,5,4,6,1,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[4,3,6,7,8,5,1,2]=>[[1,3,4,5],[2,6],[7,8]]=>16
[4,5,6,3,8,7,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>19
[3,6,8,5,4,7,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[6,8,3,5,4,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[7,6,3,5,4,8,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[1,6,2,5,4,8,7,3]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[7,1,2,5,8,3,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>13
[1,8,2,5,7,3,6,4]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[6,2,1,5,4,8,7,3]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[4,1,6,2,8,7,5,3]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[7,8,1,2,4,6,5,3]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[7,8,3,1,4,2,6,5]=>[[1,2,7],[3,5,8],[4,6]]=>11
[4,3,6,1,8,2,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>12
[2,3,8,5,4,1,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[4,8,1,5,2,3,7,6]=>[[1,2,6,7],[3,4,8],[5]]=>10
[7,5,1,6,4,3,2,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[5,8,1,6,4,3,2,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[6,1,5,7,4,3,2,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[1,5,8,6,4,3,2,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[3,4,6,1,5,8,2,7]=>[[1,2,3,6],[4,5,8],[7]]=>16
[7,8,4,1,5,3,2,6]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[7,8,5,1,6,3,2,4]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[2,6,1,5,7,3,8,4]=>[[1,2,5,7],[3,4,8],[6]]=>11
[1,6,8,7,4,3,2,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[6,8,1,7,4,3,2,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[5,6,1,7,4,3,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[5,1,7,6,4,3,2,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[6,1,7,8,4,3,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[7,1,8,6,4,3,2,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[1,8,7,6,4,3,2,5]=>[[1,2,8],[3],[4],[5],[6],[7]]=>20
[2,1,7,5,6,3,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>9
[3,1,6,7,5,8,2,4]=>[[1,3,4,6],[2,5,8],[7]]=>12
[7,8,1,6,5,3,2,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[7,8,2,1,4,5,6,3]=>[[1,2,6,7],[3,5],[4,8]]=>12
[2,8,1,5,4,6,7,3]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[7,2,1,5,4,6,8,3]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[1,2,8,5,6,3,7,4]=>[[1,2,3,5,7],[4,8],[6]]=>13
[6,1,2,5,7,3,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>10
[4,2,1,5,6,3,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>5
[4,3,6,1,5,7,2,8]=>[[1,3,6,8],[2,5],[4,7]]=>8
[5,1,6,3,7,8,2,4]=>[[1,3,5,6],[2,4,8],[7]]=>10
[1,3,6,8,5,7,2,4]=>[[1,2,3,4],[5,6],[7,8]]=>20
[2,4,6,3,7,1,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>13
[1,3,6,4,8,7,2,5]=>[[1,2,3,5],[4,6],[7,8]]=>19
[4,1,6,7,3,8,2,5]=>[[1,3,4,6],[2,5,8],[7]]=>12
[5,4,6,1,3,7,2,8]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[6,4,1,5,2,3,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[4,1,7,5,2,3,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>8
[1,2,4,5,8,3,7,6]=>[[1,2,3,4,5],[6,7],[8]]=>17
[7,2,3,5,4,1,8,6]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[2,8,3,5,4,1,7,6]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[4,2,6,3,8,1,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>14
[7,8,2,3,4,1,6,5]=>[[1,2,5,7],[3,4],[6,8]]=>15
[7,8,1,4,6,3,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[3,1,6,4,7,8,2,5]=>[[1,3,5,6],[2,4,8],[7]]=>10
[1,8,5,7,4,3,2,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[7,1,5,8,4,3,2,6]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[5,1,8,7,4,3,2,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[6,5,1,8,4,3,2,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[6,5,7,1,4,3,2,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[7,5,8,1,4,3,2,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[5,8,7,1,4,3,2,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[1,5,7,8,4,3,2,6]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[2,4,7,5,1,3,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>14
[7,8,4,6,1,3,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[7,8,5,4,1,3,2,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[3,5,6,4,1,8,2,7]=>[[1,2,3,6],[4,7,8],[5]]=>15
[2,6,4,5,1,3,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>13
[1,6,5,8,4,3,2,7]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[6,8,5,1,4,3,2,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[7,6,5,1,4,3,2,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>17
[1,2,3,4,5,6,9,7,8]=>[[1,2,3,4,5,6,7,9],[8]]=>7
[1,2,3,4,5,8,6,9,7]=>[[1,2,3,4,5,6,8],[7,9]]=>13
[1,2,3,4,7,5,8,9,6]=>[[1,2,3,4,5,7,8],[6,9]]=>12
[1,2,3,6,4,7,8,9,5]=>[[1,2,3,4,6,7,8],[5,9]]=>11
[1,2,5,3,6,7,8,9,4]=>[[1,2,3,5,6,7,8],[4,9]]=>10
[1,4,2,5,6,7,8,9,3]=>[[1,2,4,5,6,7,8],[3,9]]=>9
[9,8,1,2,3,4,5,6,7]=>[[1,4,5,6,7,8,9],[2],[3]]=>3
[7,8,9,1,2,3,4,5,6]=>[[1,2,3,7,8,9],[4,5,6]]=>9
[9,8,7,1,2,3,4,5,6]=>[[1,5,6,7,8,9],[2],[3],[4]]=>6
[6,7,8,9,1,2,3,4,5]=>[[1,2,3,4,9],[5,6,7,8]]=>16
[9,6,7,8,1,2,3,4,5]=>[[1,3,4,8,9],[2,6,7],[5]]=>9
[8,9,6,7,1,2,3,4,5]=>[[1,2,7,8,9],[3,4],[5,6]]=>12
[9,8,6,7,1,2,3,4,5]=>[[1,4,7,8,9],[2,6],[3],[5]]=>8
[9,8,7,6,1,2,3,4,5]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>10
[9,5,6,7,8,1,2,3,4]=>[[1,3,4,5],[2,7,8,9],[6]]=>15
[8,9,5,6,7,1,2,3,4]=>[[1,2,5,9],[3,4,8],[6,7]]=>15
[9,8,5,6,7,1,2,3,4]=>[[1,4,5,9],[2,7,8],[3],[6]]=>12
[9,7,8,5,6,1,2,3,4]=>[[1,3,8,9],[2,5],[4,7],[6]]=>12
[9,8,7,5,6,1,2,3,4]=>[[1,5,8,9],[2,7],[3],[4],[6]]=>12
[9,8,7,6,5,1,2,3,4]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>15
[7,8,9,4,5,6,1,2,3]=>[[1,2,3],[4,5,6],[7,8,9]]=>27
[9,7,8,4,5,6,1,2,3]=>[[1,3,6],[2,5,9],[4,8],[7]]=>15
[9,8,7,4,5,6,1,2,3]=>[[1,5,6],[2,8,9],[3],[4],[7]]=>16
[8,9,6,7,4,5,1,2,3]=>[[1,2,9],[3,4],[5,6],[7,8]]=>24
[9,8,6,7,4,5,1,2,3]=>[[1,4,9],[2,6],[3,8],[5],[7]]=>16
[9,8,7,6,4,5,1,2,3]=>[[1,6,9],[2,8],[3],[4],[5],[7]]=>17
[9,8,7,6,5,4,1,2,3]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>21
[9,7,8,5,6,3,4,1,2]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>22
[9,8,7,5,6,3,4,1,2]=>[[1,5],[2,7],[3,9],[4],[6],[8]]=>21
[9,8,7,6,5,3,4,1,2]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>23
[9,8,7,6,5,4,3,1,2]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>28
[9,10,1,2,3,4,5,6,7,8]=>[[1,2,5,6,7,8,9,10],[3,4]]=>4
[8,9,10,1,2,3,4,5,6,7]=>[[1,2,3,7,8,9,10],[4,5,6]]=>9
[10,8,9,1,2,3,4,5,6,7]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>5
[10,9,8,1,2,3,4,5,6,7]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>6
[7,8,9,10,1,2,3,4,5,6]=>[[1,2,3,4,9,10],[5,6,7,8]]=>16
[10,7,8,9,1,2,3,4,5,6]=>[[1,3,4,8,9,10],[2,6,7],[5]]=>9
[9,10,7,8,1,2,3,4,5,6]=>[[1,2,7,8,9,10],[3,4],[5,6]]=>12
[10,9,7,8,1,2,3,4,5,6]=>[[1,4,7,8,9,10],[2,6],[3],[5]]=>8
[10,9,8,7,1,2,3,4,5,6]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>10
[10,6,7,8,9,1,2,3,4,5]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>15
[9,10,6,7,8,1,2,3,4,5]=>[[1,2,5,9,10],[3,4,8],[6,7]]=>15
[10,9,6,7,8,1,2,3,4,5]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>12
[10,8,9,6,7,1,2,3,4,5]=>[[1,3,8,9,10],[2,5],[4,7],[6]]=>12
[10,9,8,6,7,1,2,3,4,5]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>12
[10,9,8,7,6,1,2,3,4,5]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>15
[9,10,5,6,7,8,1,2,3,4]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>20
[10,9,5,6,7,8,1,2,3,4]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>18
[8,9,10,5,6,7,1,2,3,4]=>[[1,2,3,10],[4,5,6],[7,8,9]]=>27
[10,9,8,5,6,7,1,2,3,4]=>[[1,5,6,10],[2,8,9],[3],[4],[7]]=>16
[9,10,7,8,5,6,1,2,3,4]=>[[1,2,9,10],[3,4],[5,6],[7,8]]=>24
[10,9,7,8,5,6,1,2,3,4]=>[[1,4,9,10],[2,6],[3,8],[5],[7]]=>16
[10,9,8,7,5,6,1,2,3,4]=>[[1,6,9,10],[2,8],[3],[4],[5],[7]]=>17
[10,9,8,7,6,5,1,2,3,4]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>21
[10,7,8,9,4,5,6,1,2,3]=>[[1,3,4],[2,6,7],[5,9,10],[8]]=>24
[9,10,7,8,4,5,6,1,2,3]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>27
[10,9,7,8,4,5,6,1,2,3]=>[[1,4,7],[2,6,10],[3,9],[5],[8]]=>19
[10,9,8,7,4,5,6,1,2,3]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>21
[10,8,9,6,7,4,5,1,2,3]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>22
[10,9,8,6,7,4,5,1,2,3]=>[[1,5,10],[2,7],[3,9],[4],[6],[8]]=>21
[10,9,8,7,6,4,5,1,2,3]=>[[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>23
[10,9,8,7,6,5,4,1,2,3]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28
[9,10,7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10]]=>40
[10,9,7,8,5,6,3,4,1,2]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>27
[10,9,8,7,5,6,3,4,1,2]=>[[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>27
[10,9,8,7,6,5,3,4,1,2]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>30
[10,9,8,7,6,5,4,3,1,2]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>36
[3,4,6,2,7,1,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>12
[3,6,2,5,4,1,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[3,2,7,5,4,1,6,8]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[4,3,6,2,8,1,5,7]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[6,1,2,5,4,7,8,3]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[6,2,4,5,1,3,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>7
[4,2,8,5,1,3,7,6]=>[[1,3,7],[2,4,8],[5,6]]=>11
[4,3,6,8,1,7,2,5]=>[[1,3,4],[2,6,8],[5,7]]=>12
[5,3,6,4,1,7,2,8]=>[[1,3,6,8],[2,4],[5,7]]=>11
[6,2,1,5,8,3,7,4]=>[[1,4,5],[2,6,7],[3,8]]=>11
[1,6,7,4,8,3,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[1,4,6,3,7,5,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>14
[4,6,7,2,5,8,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>18
[2,4,6,1,7,5,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>13
[2,7,5,4,1,6,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[7,5,4,6,2,8,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[1,7,5,4,3,8,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[1,4,6,3,5,8,7,2]=>[[1,2,3,6],[4,5,7],[8]]=>17
[1,5,8,4,3,6,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[5,4,6,2,7,8,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[2,5,4,1,6,7,3,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[5,6,3,2,7,1,4,8]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[5,6,3,2,7,1,8,4]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[8,5,6,3,2,7,1,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[5,4,6,2,8,1,7,3]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[2,4,1,7,8,5,3,6]=>[[1,2,4,5],[3,6,8],[7]]=>16
[2,5,4,1,6,3,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>12
[5,6,3,2,1,8,4,7]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[3,5,2,1,6,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[6,8,4,3,2,1,5,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[5,3,8,2,1,6,4,7]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[3,7,5,8,2,1,4,6]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[7,3,2,8,5,1,6,4]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[8,4,6,3,2,1,7,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[8,6,4,3,2,1,7,5]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[7,6,4,3,2,1,8,5]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[7,8,4,3,2,1,6,5]=>[[1,2],[3,7],[4,8],[5],[6]]=>19
[5,4,7,2,1,8,6,3]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[7,5,8,3,2,6,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>17
[5,7,3,2,1,6,8,4]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[5,7,3,2,1,6,4,8]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[6,3,7,2,5,1,8,4]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[6,7,8,3,5,2,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[6,2,5,7,8,4,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[2,1,5,7,8,6,3,4]=>[[1,3,4,5],[2,6,8],[7]]=>13
[3,6,7,2,8,1,4,5]=>[[1,2,3,5],[4,7,8],[6]]=>16
[6,3,7,2,8,1,4,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[3,2,6,1,7,4,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>8
[3,5,2,1,4,7,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>8
[7,3,5,2,1,8,4,6]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[2,5,4,1,3,7,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>9
[2,5,8,4,1,3,7,6]=>[[1,2,3],[4,6,7],[5,8]]=>18
[2,4,1,7,8,3,6,5]=>[[1,2,4,5],[3,6,7],[8]]=>17
[3,7,2,8,6,1,4,5]=>[[1,2,4],[3,5,8],[6,7]]=>18
[3,6,8,2,1,7,4,5]=>[[1,2,3],[4,6,8],[5,7]]=>17
[5,3,8,2,1,4,7,6]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[4,8,7,3,2,1,5,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[4,7,3,2,1,5,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[8,4,7,3,2,1,5,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[8,3,5,2,1,4,7,6]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[7,3,2,8,6,1,4,5]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[3,5,2,1,4,6,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>9
[7,8,6,5,4,3,2,1,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>27
[1,8,9,7,6,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>33
[8,9,7,6,5,4,3,2,1,10]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>35
[6,8,7,5,4,3,2,1,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>27
[1,7,9,8,6,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>33
[1,9,10,8,7,6,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>42
[7,8,3,5,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[8,6,3,7,5,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[5,4,1,6,3,2,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[5,4,1,6,2,3,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>6
[5,7,1,6,2,8,3,4]=>[[1,2,6,8],[3,4,7],[5]]=>9
[5,7,1,6,2,8,4,3]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[2,7,6,5,1,8,3,4]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[2,7,6,5,1,8,4,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[2,3,6,5,1,4,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>14
[2,3,6,4,1,5,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>12
[2,3,6,1,5,4,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>15
[2,7,6,1,4,8,5,3]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[2,7,6,1,4,8,3,5]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[7,3,5,1,8,4,2,6]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[7,3,5,1,8,6,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[2,7,6,1,5,8,4,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[2,7,6,4,1,8,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[2,1,7,6,3,8,5,4]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[2,1,7,6,3,8,4,5]=>[[1,3,6,8],[2,4,7],[5]]=>7
[5,7,3,6,2,8,4,1]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[2,7,6,4,1,8,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[7,3,5,1,8,6,2,4]=>[[1,3,5],[2,6,8],[4,7]]=>11
[6,3,5,1,8,2,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>8
[2,3,4,8,7,6,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[2,3,4,8,5,7,1,6]=>[[1,2,3,4,6],[5,8],[7]]=>15
[7,3,5,4,8,1,2,6]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[6,4,3,5,8,7,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[2,1,4,5,8,7,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>13
[6,4,3,5,8,7,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[7,3,5,4,8,1,6,2]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[2,3,4,8,7,5,6,1]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[2,3,4,8,7,5,1,6]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[2,7,6,5,4,8,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[7,3,5,6,8,4,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[7,3,5,6,8,1,4,2]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[7,3,5,6,8,1,2,4]=>[[1,3,4,5],[2,7,8],[6]]=>12
[6,4,1,5,8,7,2,3]=>[[1,4,5],[2,6,8],[3,7]]=>10
[6,4,1,5,8,7,3,2]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[6,4,1,5,8,3,7,2]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[5,7,1,6,3,8,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[6,4,1,5,8,3,2,7]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[7,4,1,5,8,2,3,6]=>[[1,4,5,8],[2,6,7],[3]]=>7
[7,4,1,5,8,2,6,3]=>[[1,4,5],[2,6,7],[3,8]]=>11
[6,3,5,7,8,2,1,4]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[6,3,5,7,8,2,4,1]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[2,7,6,4,5,8,3,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[5,7,3,6,1,8,4,2]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[2,1,4,5,8,6,3,7]=>[[1,3,4,5,8],[2,6],[7]]=>10
[7,3,5,4,8,6,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[2,3,4,8,5,6,1,7]=>[[1,2,3,4,6,8],[5],[7]]=>10
[2,3,4,8,7,1,6,5]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[2,3,4,8,1,7,6,5]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[2,3,4,8,1,6,7,5]=>[[1,2,3,4,7],[5,6],[8]]=>15
[2,3,4,8,5,1,7,6]=>[[1,2,3,4,7],[5,8],[6]]=>14
[6,3,5,4,8,2,7,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[7,4,3,5,8,2,1,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[2,1,4,5,8,3,7,6]=>[[1,3,4,5],[2,6,7],[8]]=>14
[7,4,3,5,8,2,6,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[6,3,5,4,8,2,1,7]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[2,3,4,8,5,1,6,7]=>[[1,2,3,4,7,8],[5],[6]]=>9
[2,3,4,8,1,6,5,7]=>[[1,2,3,4,8],[5,6],[7]]=>14
[2,3,4,8,1,5,7,6]=>[[1,2,3,4,7],[5,6],[8]]=>15
[7,8,2,6,1,5,3,4]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[7,8,1,6,2,5,3,4]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[1,8,6,7,2,5,3,4]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[1,8,5,7,2,6,3,4]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[5,8,1,7,2,6,3,4]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[5,8,2,7,1,6,3,4]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[2,8,6,7,1,5,3,4]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[2,8,5,7,1,6,3,4]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[2,8,1,7,5,6,3,4]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[1,8,2,7,5,6,3,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[1,8,2,7,4,6,3,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[2,8,1,7,4,6,3,5]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[2,8,4,7,1,6,3,5]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[4,8,2,7,1,6,3,5]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[4,8,1,7,2,6,3,5]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[1,8,4,7,2,6,3,5]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[4,8,1,7,5,6,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[1,8,4,7,5,6,2,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[1,8,3,7,5,6,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[3,8,1,7,5,6,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[3,8,1,7,4,6,2,5]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[1,8,3,7,4,6,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[1,8,3,7,2,6,4,5]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[3,8,1,7,2,6,4,5]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[3,8,2,7,1,6,4,5]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[3,8,2,7,4,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[3,8,2,7,5,6,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[4,8,2,7,5,6,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[4,8,3,7,5,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[3,8,4,7,5,6,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[2,8,4,7,5,6,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[2,8,3,7,5,6,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[2,8,3,7,4,6,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[2,8,3,7,1,6,4,5]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[2,8,1,7,3,6,4,5]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[7,5,2,8,6,4,1,3]=>[[1,4],[2,5],[3,6],[7,8]]=>18
[7,5,1,8,6,2,3,4]=>[[1,4,7,8],[2,5],[3,6]]=>6
[7,4,8,6,1,5,2,3]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[7,1,8,4,5,2,6,3]=>[[1,3,5,7],[2,4],[6,8]]=>13
[6,8,1,7,4,2,5,3]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[1,6,7,4,2,8,5,3]=>[[1,2,3,6],[4,7],[5,8]]=>16
[1,6,7,3,8,5,2,4]=>[[1,2,3,5],[4,6],[7,8]]=>19
[7,1,8,3,5,6,2,4]=>[[1,3,5,6],[2,4],[7,8]]=>14
[7,3,8,6,2,5,1,4]=>[[1,3],[2,4],[5,6],[7,8]]=>22
[7,4,2,8,6,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[7,3,1,8,4,2,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>6
[7,2,8,4,1,5,3,6]=>[[1,3,6,8],[2,4],[5,7]]=>11
[7,2,8,3,5,1,6,4]=>[[1,3,5,7],[2,4],[6,8]]=>13
[7,2,8,3,4,6,1,5]=>[[1,3,5,6],[2,4],[7,8]]=>14
[1,5,7,8,2,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>18
[6,2,3,8,5,7,4,1]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[6,2,4,8,5,3,1,7]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[6,3,1,4,8,5,2,7]=>[[1,4,5,8],[2,6],[3,7]]=>8
[2,6,3,7,8,5,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[2,6,3,7,8,4,5,1]=>[[1,2,4,5],[3,6,7],[8]]=>17
[2,4,7,3,5,6,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>13
[2,4,7,3,6,8,5,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[2,5,3,7,8,1,6,4]=>[[1,2,4,5],[3,7],[6,8]]=>16
[3,1,5,4,7,8,2,6]=>[[1,3,5,6],[2,4,8],[7]]=>10
[5,3,1,4,8,2,6,7]=>[[1,4,5,8],[2,6,7],[3]]=>7
[5,2,4,8,6,1,3,7]=>[[1,3,4,8],[2,5],[6,7]]=>13
[5,2,3,8,4,6,7,1]=>[[1,3,4,6,7],[2,5],[8]]=>10
[4,8,2,3,6,1,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>15
[4,8,2,3,5,7,1,6]=>[[1,2,5,6],[3,4],[7,8]]=>16
[1,4,7,8,3,6,2,5]=>[[1,2,3,4],[5,6],[7,8]]=>20
[4,8,1,3,6,7,2,5]=>[[1,2,5,6],[3,4],[7,8]]=>16
[5,3,8,2,4,7,1,6]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[5,4,3,8,1,2,7,6]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[6,4,2,8,1,3,7,5]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[6,3,8,2,5,1,7,4]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[6,3,8,1,4,7,2,5]=>[[1,3,6],[2,5,8],[4,7]]=>9
[5,8,1,3,6,2,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>15
[1,5,7,4,2,6,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>15
[5,8,1,4,2,6,3,7]=>[[1,2,6,8],[3,4],[5,7]]=>13
[5,8,4,1,2,7,6,3]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[6,5,1,2,8,7,3,4]=>[[1,4,5,8],[2,6],[3,7]]=>8
[6,5,3,1,4,2,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[5,3,1,6,4,2,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>6
[5,2,6,4,1,7,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>11
[4,6,1,7,5,2,8,3]=>[[1,2,4,7],[3,5,8],[6]]=>14
[4,5,1,7,2,6,3,8]=>[[1,2,4,8],[3,5,6],[7]]=>14
[3,5,6,1,2,8,7,4]=>[[1,2,3,6],[4,5,7],[8]]=>17
[3,5,7,1,8,6,2,4]=>[[1,2,3,5],[4,6,8],[7]]=>17
[3,6,2,7,5,1,8,4]=>[[1,2,4,7],[3,5],[6,8]]=>16
[4,2,5,7,1,8,6,3]=>[[1,3,4,6],[2,7],[5,8]]=>12
[3,4,7,2,8,6,1,5]=>[[1,2,3,5],[4,6],[7,8]]=>19
[3,4,5,8,2,7,1,6]=>[[1,2,3,4],[5,6],[7,8]]=>20
[3,4,6,2,8,1,5,7]=>[[1,2,3,5],[4,7,8],[6]]=>16
[3,5,2,6,8,1,7,4]=>[[1,2,4,5],[3,7],[6,8]]=>16
[4,2,5,6,1,3,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>10
[4,3,1,2,5,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>7
[5,3,6,8,4,7,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[3,7,2,5,4,8,6,1]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[8,4,2,5,7,3,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[3,1,6,5,4,8,2,7]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[4,1,6,5,8,3,2,7]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[5,1,6,8,4,3,2,7]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[8,5,4,7,6,3,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>22
[2,7,1,5,4,3,8,6]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[8,2,1,5,4,3,7,6]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[8,4,1,5,7,3,2,6]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[8,4,6,1,7,3,2,5]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[8,3,6,1,4,7,2,5]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[2,7,6,1,4,3,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[6,7,8,5,1,3,2,4]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[6,7,8,2,4,3,5,1]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[4,7,6,2,8,3,5,1]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[8,3,6,2,4,7,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[3,7,6,2,4,8,5,1]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[5,7,3,8,4,6,2,1]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[4,7,3,5,8,6,2,1]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[8,7,2,1,4,3,6,5]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[8,7,3,1,4,6,2,5]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[8,7,6,3,2,5,4,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>18
[8,7,3,5,1,6,2,4]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[8,7,2,5,1,3,6,4]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[8,4,6,5,7,1,2,3]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[3,7,6,5,1,8,2,4]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[8,1,2,3,4,5,6,7,9]=>[[1,3,4,5,6,7,8,9],[2]]=>1
[1,9,2,3,4,5,6,7,8]=>[[1,2,4,5,6,7,8,9],[3]]=>2
[9,1,2,3,4,5,6,7,8,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>1
[7,8,1,2,3,4,5,6,9]=>[[1,2,5,6,7,8,9],[3,4]]=>4
[1,8,9,2,3,4,5,6,7]=>[[1,2,3,6,7,8,9],[4,5]]=>6
[1,10,2,3,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9,10],[3]]=>2
[8,9,1,2,3,4,5,6,7,10]=>[[1,2,5,6,7,8,9,10],[3,4]]=>4
[7,1,8,2,3,4,5,6,9]=>[[1,3,5,6,7,8,9],[2,4]]=>2
[6,8,1,2,3,4,5,7,9]=>[[1,2,5,6,7,8,9],[3,4]]=>4
[1,8,2,9,3,4,5,6,7]=>[[1,2,4,6,7,8,9],[3,5]]=>5
[1,7,9,2,3,4,5,6,8]=>[[1,2,3,6,7,8,9],[4,5]]=>6
[3,6,4,8,7,5,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[5,6,4,3,8,7,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[1,6,2,4,7,8,5,3]=>[[1,2,4,5,6],[3,7],[8]]=>14
[3,6,2,4,8,1,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>10
[3,4,7,2,8,1,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>17
[1,4,7,2,5,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>17
[7,3,8,4,5,6,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>14
[3,5,6,4,8,7,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>19
[4,6,8,5,3,7,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[6,8,5,3,4,7,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[1,6,5,4,2,8,7,3]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[1,8,5,2,7,3,6,4]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[4,2,7,5,1,8,6,3]=>[[1,3,6],[2,4,7],[5,8]]=>13
[7,8,1,4,2,6,5,3]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[1,3,6,4,8,2,5,7]=>[[1,2,3,5,8],[4,7],[6]]=>12
[4,1,7,5,3,2,6,8]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[6,5,1,3,4,2,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[4,8,5,3,1,7,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[7,4,5,3,2,8,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[5,8,3,6,1,4,2,7]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[2,5,8,6,4,1,3,7]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[1,4,6,2,5,8,3,7]=>[[1,2,3,6],[4,5,8],[7]]=>16
[3,6,2,5,8,1,7,4]=>[[1,2,5],[3,4,7],[6,8]]=>16
[1,6,8,7,4,2,3,5]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[6,1,7,8,2,4,3,5]=>[[1,3,4,8],[2,5,6],[7]]=>11
[7,1,8,6,3,4,2,5]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[7,2,1,4,5,6,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>7
[1,2,8,3,6,5,7,4]=>[[1,2,3,5,7],[4],[6],[8]]=>15
[6,1,3,2,7,5,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>10
[1,6,3,8,5,7,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>17
[2,6,4,1,7,5,8,3]=>[[1,2,5,7],[3,6],[4,8]]=>13
[7,6,5,8,1,4,2,3]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[5,8,6,7,3,2,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[1,6,4,3,7,2,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[2,6,3,4,8,7,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>18
[7,1,3,4,5,2,8,6]=>[[1,3,4,5,7],[2,8],[6]]=>10
[1,8,3,5,4,2,7,6]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[4,1,6,3,8,2,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>14
[7,8,2,4,6,3,1,5]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[3,2,6,4,7,8,1,5]=>[[1,3,5,6],[2,4,8],[7]]=>10
[2,8,5,7,4,3,1,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[7,2,5,8,3,4,1,6]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[5,3,8,7,1,2,6,4]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[6,5,3,8,2,1,7,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>15
[7,5,8,4,1,2,3,6]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[5,8,7,4,1,3,2,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[3,5,7,8,4,1,2,6]=>[[1,2,3,4],[5,7,8],[6]]=>17
[1,4,7,5,3,8,2,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[2,4,6,7,3,1,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>14
[7,8,4,6,3,1,2,5]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[2,6,4,5,3,8,1,7]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[3,6,5,8,4,2,1,7]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[5,6,8,4,2,3,1,7]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[6,8,5,4,3,1,2,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[6,1,4,2,8,5,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>10
[4,8,6,5,3,2,7,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>21
[8,6,5,1,2,4,7,3]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[6,7,5,8,2,1,4,3]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[1,7,5,8,2,6,4,3]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[1,3,8,5,7,6,2,4]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[6,3,8,5,7,1,2,4]=>[[1,3,5],[2,4,8],[6,7]]=>13
[8,3,1,5,6,2,7,4]=>[[1,4,5,7],[2,6,8],[3]]=>8
[6,8,5,2,1,4,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[3,8,2,5,6,1,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>15
[2,8,1,5,6,3,7,4]=>[[1,2,5,7],[3,4,8],[6]]=>11
[8,1,2,5,6,3,7,4]=>[[1,3,4,5,7],[2,8],[6]]=>10
[1,8,2,5,7,6,3,4]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[5,1,8,6,2,7,3,4]=>[[1,3,6,8],[2,4,7],[5]]=>7
[2,5,8,6,1,7,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>15
[8,6,1,5,7,2,3,4]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[3,8,6,5,7,1,2,4]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[7,6,5,8,1,2,4,3]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[5,1,7,6,8,4,2,3]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[5,1,3,7,8,6,2,4]=>[[1,3,4,5],[2,6],[7,8]]=>16
[7,2,5,8,1,6,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[3,2,8,5,7,6,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[8,2,1,5,7,6,3,4]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[5,2,8,6,1,7,3,4]=>[[1,3,6],[2,4,8],[5,7]]=>12
[1,2,8,6,5,7,3,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[4,2,1,3,6,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>7
[8,2,5,6,3,7,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[7,2,6,5,4,1,8,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[6,1,3,5,4,7,8,2]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[6,1,5,3,4,7,8,2]=>[[1,3,5,6,7],[2],[4],[8]]=>11
[7,5,6,2,4,1,8,3]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[8,5,2,6,3,7,1,4]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[4,3,1,2,6,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>7
[8,1,6,5,7,3,2,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[3,5,8,6,2,7,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[5,8,1,6,3,7,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[1,8,5,6,3,7,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[1,7,6,5,4,2,8,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[5,7,6,1,4,2,8,3]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[7,1,4,2,6,5,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[4,1,7,3,5,6,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>9
[2,7,4,1,5,6,8,3]=>[[1,2,5,6,7],[3,8],[4]]=>10
[5,7,6,4,1,2,8,3]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[4,7,6,1,5,2,8,3]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[1,7,6,4,5,2,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[1,8,3,6,5,7,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[3,8,1,6,5,7,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[8,1,3,5,7,6,2,4]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[7,8,5,4,1,6,2,3]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[6,1,5,4,3,7,8,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>15
[7,5,6,4,2,1,8,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[8,3,2,6,5,7,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[7,4,6,2,5,1,8,3]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[6,1,4,3,5,7,8,2]=>[[1,3,5,6,7],[2],[4],[8]]=>11
[6,1,3,4,5,7,8,2]=>[[1,3,4,5,6,7],[2],[8]]=>8
[7,2,6,4,5,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,2,3,6,5,7,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[5,4,7,3,6,8,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[3,4,7,8,5,6,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>20
[3,4,7,2,5,1,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[1,4,7,2,5,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>16
[3,6,2,4,7,1,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>10
[6,8,3,4,5,7,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>16
[4,3,6,7,5,8,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>15
[6,3,7,5,8,4,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[7,3,8,6,4,5,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[3,2,7,6,5,1,4,8]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[1,2,7,6,5,8,3,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[4,8,2,6,1,5,3,7]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[2,3,8,6,4,1,5,7]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[4,3,6,2,5,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[7,8,3,2,5,1,4,6]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[7,8,1,2,5,6,3,4]=>[[1,2,5,6],[3,4],[7,8]]=>16
[4,1,6,2,5,7,3,8]=>[[1,3,5,6,8],[2,4],[7]]=>8
[6,1,2,5,8,7,3,4]=>[[1,3,4,5],[2,6],[7,8]]=>16
[2,1,8,6,4,7,3,5]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[7,1,3,6,8,4,2,5]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[1,8,3,6,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[7,1,5,8,3,6,2,4]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[5,1,8,7,2,3,6,4]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[6,1,5,7,4,2,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[3,1,6,4,7,2,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>8
[2,4,7,5,1,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>15
[6,5,7,1,4,2,3,8]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[5,6,8,1,3,2,4,7]=>[[1,2,3,8],[4,5,7],[6]]=>14
[6,8,5,1,3,4,2,7]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[2,8,3,4,5,1,7,6]=>[[1,2,4,5,7],[3,8],[6]]=>12
[6,2,4,3,1,5,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[4,2,8,3,1,7,5,6]=>[[1,3,6,8],[2,4],[5,7]]=>11
[1,3,7,4,8,2,5,6]=>[[1,2,3,5,8],[4,7],[6]]=>12
[5,3,7,4,1,6,2,8]=>[[1,3,6,8],[2,4],[5,7]]=>11
[2,4,7,3,6,1,8,5]=>[[1,2,3,7],[4,5],[6,8]]=>17
[5,8,7,6,3,1,2,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[7,5,6,8,1,4,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[2,4,7,1,6,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[1,2,7,8,5,4,3,6]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[6,3,1,2,8,4,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>5
[4,2,1,3,6,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>8
[2,8,1,4,5,6,3,7]=>[[1,2,5,6,8],[3,4],[7]]=>10
[7,2,1,5,4,6,3,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[4,2,6,1,8,5,3,7]=>[[1,3,5],[2,6,8],[4,7]]=>11
[7,8,2,1,4,5,3,6]=>[[1,2,6,8],[3,5],[4,7]]=>11
[7,8,4,1,5,3,6,2]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[3,4,6,1,5,8,7,2]=>[[1,2,3,6],[4,5,7],[8]]=>17
[7,5,1,6,4,3,8,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[5,8,1,6,3,4,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[6,5,1,8,2,7,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[6,8,1,7,5,2,3,4]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[7,6,1,8,5,3,2,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[5,6,1,7,4,8,2,3]=>[[1,2,4,6],[3,5,8],[7]]=>15
[3,6,1,5,7,4,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[2,5,6,1,7,4,8,3]=>[[1,2,3,5,7],[4,6],[8]]=>14
[3,1,7,5,6,4,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[5,1,7,6,4,8,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[6,1,7,8,5,3,4,2]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[7,1,8,6,5,4,2,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[2,6,5,7,3,4,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[1,6,4,7,5,8,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>17
[8,5,3,6,2,7,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[1,3,7,4,6,8,2,5]=>[[1,2,3,5,6],[4,8],[7]]=>14
[4,7,5,6,3,2,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>18
[1,7,6,5,4,8,2,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[8,1,6,5,7,2,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[1,2,7,6,8,3,4,5]=>[[1,2,3,5,8],[4,7],[6]]=>12
[6,1,7,5,3,8,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[2,1,7,5,6,8,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>10
[5,4,1,7,6,8,2,3]=>[[1,4,6],[2,5,8],[3,7]]=>8
[4,8,5,6,2,7,3,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[3,8,6,4,2,7,5,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[7,8,5,2,4,6,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[2,8,6,3,7,4,5,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[7,8,1,6,2,4,5,3]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[6,8,1,4,7,2,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[3,8,4,1,7,2,6,5]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[5,4,7,1,8,3,2,6]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[3,7,4,1,8,5,2,6]=>[[1,2,5,8],[3,6],[4,7]]=>12
[6,7,1,4,8,3,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[2,7,1,8,4,5,3,6]=>[[1,2,4,8],[3,5,6],[7]]=>14
[6,1,2,8,4,3,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>8
[6,5,1,4,3,8,2,7]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[1,6,2,5,8,3,4,7]=>[[1,2,4,5,8],[3,7],[6]]=>11
[8,5,1,3,7,2,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[8,4,2,1,7,3,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[7,4,2,1,8,5,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[1,5,4,2,8,3,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>8
[6,4,3,1,5,8,2,7]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[3,7,6,8,4,5,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[2,7,6,8,5,3,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[1,7,6,8,5,4,2,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[1,4,8,6,7,5,2,3]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[2,4,8,6,7,3,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[7,3,8,5,4,6,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[3,4,8,5,6,7,2,1]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[6,3,5,8,4,7,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[5,4,3,8,6,7,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[5,4,2,8,7,3,6,1]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[6,2,5,8,7,3,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[3,2,8,5,7,4,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[1,3,8,7,5,6,2,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[2,1,8,7,4,6,3,5]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[3,1,8,5,7,6,2,4]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[6,1,5,8,7,4,2,3]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[5,4,1,8,7,6,2,3]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[5,8,6,7,4,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[4,8,7,5,6,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>23
[4,2,1,6,3,5,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>6
[6,2,1,4,3,5,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>6
[6,2,1,4,3,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>5
[8,2,1,4,3,6,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>5
[6,2,4,1,3,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>6
[6,2,4,1,3,5,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>7
[2,1,6,4,3,5,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>8
[2,6,1,4,3,5,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>10
[2,6,4,1,3,5,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>9
[4,6,2,1,3,5,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>9
[6,4,2,1,3,5,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[8,4,2,1,3,6,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[8,4,2,1,6,3,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[6,4,2,1,8,3,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[2,6,1,4,3,8,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>9
[2,1,6,4,3,8,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>7
[2,1,8,4,3,6,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>7
[2,8,1,4,3,6,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>9
[2,8,4,1,3,6,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>8
[4,8,2,1,3,6,5,7]=>[[1,2,6,8],[3,5],[4,7]]=>11
[6,8,2,1,4,3,5,7]=>[[1,2,7,8],[3,5],[4,6]]=>10
[8,6,2,1,4,3,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[2,8,1,4,6,3,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>10
[2,6,1,4,8,3,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>10
[2,6,4,1,8,3,5,7]=>[[1,2,5,8],[3,6,7],[4]]=>11
[2,6,4,8,1,3,5,7]=>[[1,2,4,8],[3,6,7],[5]]=>12
[4,6,2,8,1,3,5,7]=>[[1,2,4,8],[3,6,7],[5]]=>12
[4,2,6,1,8,3,5,7]=>[[1,3,5,8],[2,6,7],[4]]=>8
[6,2,4,1,8,3,5,7]=>[[1,3,5,8],[2,6,7],[4]]=>8
[4,2,1,6,8,3,5,7]=>[[1,4,5,8],[2,6,7],[3]]=>7
[4,2,1,6,3,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>5
[4,2,1,3,6,8,5,7]=>[[1,4,5,6],[2,7,8],[3]]=>9
[2,1,4,3,8,6,5,7]=>[[1,3,5,8],[2,4,6],[7]]=>9
[2,4,1,3,8,6,5,7]=>[[1,2,5,8],[3,4,6],[7]]=>11
[4,2,1,3,8,6,5,7]=>[[1,4,5,8],[2,6],[3,7]]=>8
[4,2,1,8,3,6,5,7]=>[[1,4,6,8],[2,5],[3,7]]=>7
[4,2,1,8,6,3,5,7]=>[[1,4,7,8],[2,5],[3,6]]=>6
[8,2,1,6,4,3,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[8,2,6,1,4,3,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[4,2,8,1,3,6,5,7]=>[[1,3,6,8],[2,5],[4,7]]=>8
[2,4,8,1,3,6,5,7]=>[[1,2,3,8],[4,5,6],[7]]=>15
[2,4,1,8,3,6,5,7]=>[[1,2,4,8],[3,5,6],[7]]=>14
[2,1,4,8,3,6,5,7]=>[[1,3,4,8],[2,5,6],[7]]=>11
[2,1,4,8,6,3,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>10
[2,4,8,1,6,3,5,7]=>[[1,2,3,8],[4,5,7],[6]]=>14
[2,4,8,6,1,3,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>13
[4,2,8,6,1,3,5,7]=>[[1,3,7,8],[2,4],[5,6]]=>10
[8,4,6,2,1,3,5,7]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[4,6,8,2,1,3,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>13
[2,6,8,4,1,3,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>13
[2,6,8,1,4,3,5,7]=>[[1,2,3,8],[4,5,7],[6]]=>14
[2,6,1,8,4,3,5,7]=>[[1,2,4,8],[3,5,7],[6]]=>13
[2,1,6,8,4,3,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>10
[2,1,8,6,4,3,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[2,8,6,4,1,3,5,7]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[4,8,6,2,1,3,5,7]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[6,8,4,2,1,3,5,7]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[3,2,6,1,5,4,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>8
[5,2,4,3,8,1,7,6]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[6,2,4,1,5,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>9
[4,3,6,1,5,2,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>8
[4,3,5,2,8,1,7,6]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[4,3,7,2,6,5,8,1]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[4,3,8,2,6,1,7,5]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[4,3,8,1,7,2,6,5]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[4,3,8,1,5,2,7,6]=>[[1,3,7],[2,5,8],[4,6]]=>8
[5,1,8,3,4,2,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>13
[5,4,8,1,3,2,7,6]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[2,1,5,4,8,3,7,6]=>[[1,3,5],[2,4,7],[6,8]]=>14
[5,1,7,6,8,3,4,2]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[4,3,7,6,8,1,5,2]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[4,3,7,1,8,5,6,2]=>[[1,3,5],[2,6,7],[4,8]]=>12
[4,3,6,5,8,1,7,2]=>[[1,3,5],[2,4,7],[6,8]]=>14
[6,3,5,4,7,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[6,3,5,4,8,1,7,2]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[7,1,6,3,8,4,5,2]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[7,4,6,5,8,1,3,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[2,1,8,4,6,3,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>9
[8,4,6,1,3,2,7,5]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[8,1,6,3,4,2,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,1,6,3,7,2,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[8,3,5,1,7,2,6,4]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[8,3,5,2,6,1,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[7,3,5,2,6,4,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[8,2,6,3,5,1,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,2,7,1,5,3,6,4]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[8,2,4,1,5,3,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[8,2,4,1,7,3,6,5]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[8,2,4,3,6,1,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[3,2,8,4,6,1,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>13
[3,2,8,1,5,4,7,6]=>[[1,3,7],[2,5,8],[4,6]]=>8
[3,2,7,6,8,1,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[3,2,7,1,8,5,6,4]=>[[1,3,5],[2,6,7],[4,8]]=>12
[3,2,6,5,8,1,7,4]=>[[1,3,5],[2,4,7],[6,8]]=>14
[6,5,7,2,4,3,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[6,5,8,2,4,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[7,2,4,1,8,5,6,3]=>[[1,3,5,7],[2,6],[4,8]]=>10
[7,6,8,2,4,1,5,3]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[7,6,8,1,5,2,4,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[2,1,7,3,8,5,6,4]=>[[1,3,5,7],[2,4,6],[8]]=>10
[7,1,3,2,8,5,6,4]=>[[1,3,5,7],[2,6],[4,8]]=>10
[7,1,8,5,6,2,4,3]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[7,1,8,2,6,4,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[7,2,8,1,5,4,6,3]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[6,2,7,4,5,3,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[5,4,7,2,6,3,8,1]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[5,4,8,2,6,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[6,5,8,1,7,2,4,3]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[2,1,6,5,8,3,7,4]=>[[1,3,5],[2,4,7],[6,8]]=>14
[6,5,7,4,8,1,3,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[6,5,7,1,8,3,4,2]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[6,1,7,4,8,3,5,2]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[5,4,7,1,8,3,6,2]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[5,4,6,3,8,1,7,2]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[2,8,3,1,5,4,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>8
[2,5,3,4,7,1,8,6]=>[[1,2,4,5,7],[3,8],[6]]=>12
[2,4,8,3,5,7,6,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[4,2,5,3,1,8,6,7]=>[[1,3,6,8],[2,4,7],[5]]=>7
[4,2,1,8,5,3,6,7]=>[[1,4,7,8],[2,5],[3,6]]=>6
[5,4,1,3,8,2,6,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[5,1,4,8,3,2,6,7]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[1,5,8,4,3,2,6,7]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[1,8,5,4,3,2,6,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[1,7,4,3,8,5,2,6]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[1,5,7,3,8,4,2,6]=>[[1,2,3,5],[4,6,8],[7]]=>17
[5,1,4,7,8,3,2,6]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[4,8,1,5,7,3,6,2]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[8,1,5,3,7,4,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[3,8,4,7,6,5,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[1,6,8,5,3,7,4,2]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[6,8,1,7,4,3,5,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[6,4,8,1,7,3,5,2]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[6,4,8,7,1,5,2,3]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[7,6,4,1,3,8,2,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[1,7,5,6,3,2,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[4,2,1,7,8,5,3,6]=>[[1,4,5],[2,6,8],[3,7]]=>10
[2,7,4,6,3,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[2,6,8,4,3,7,5,1]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[6,2,4,8,3,7,5,1]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[7,2,6,3,4,1,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[2,6,7,3,1,4,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>14
[2,7,1,8,3,5,4,6]=>[[1,2,4,8],[3,5,6],[7]]=>14
[2,1,7,3,5,8,4,6]=>[[1,3,5,6],[2,4,8],[7]]=>10
[8,7,1,3,6,2,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[8,2,1,7,3,5,6,4]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[7,8,2,6,3,1,5,4]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[8,7,2,6,3,5,4,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>20
[1,2,8,7,4,5,6,3]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[8,3,7,1,5,6,2,4]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[8,6,1,2,7,5,3,4]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[8,1,6,2,7,4,5,3]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[1,8,5,2,6,7,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[5,2,1,8,6,7,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[2,8,5,7,6,4,3,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[1,7,8,5,2,6,4,3]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[7,8,1,6,4,2,5,3]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[7,8,6,1,5,3,2,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[7,3,8,6,1,5,2,4]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[8,7,6,1,5,3,4,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18
[8,7,1,6,4,5,3,2]=>[[1,4,6],[2],[3],[5],[7],[8]]=>20
[8,1,7,5,6,4,3,2]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22
[1,8,6,7,5,4,3,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[6,3,5,2,1,4,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[6,3,5,7,2,8,4,1]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[8,5,2,7,4,3,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[4,5,3,6,1,2,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>13
[3,5,1,4,6,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>11
[8,3,4,5,7,2,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[5,7,4,6,3,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[2,8,4,6,3,7,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[8,1,4,7,3,6,2,5]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[8,3,4,7,5,1,2,6]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[8,5,1,4,7,3,2,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[8,5,3,7,1,4,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[2,1,8,5,7,4,3,6]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[6,5,3,7,1,8,4,2]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[6,5,1,4,7,8,3,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[6,3,4,7,5,8,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>15
[5,1,4,6,8,3,7,2]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[4,7,1,3,5,8,6,2]=>[[1,2,5,6],[3,4,7],[8]]=>13
[4,8,3,7,1,2,6,5]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[3,8,6,4,1,7,2,5]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[3,8,1,2,5,7,6,4]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[2,8,7,5,4,1,3,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[8,7,2,6,4,1,3,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[3,8,6,7,4,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[5,7,6,8,4,2,3,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[5,3,7,8,2,4,6,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[8,3,6,2,1,4,7,5]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[5,3,7,6,2,1,8,4]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[5,3,6,2,8,7,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[5,7,8,6,4,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[2,6,7,5,4,8,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[6,1,7,4,5,8,2,3]=>[[1,3,5,6],[2,4],[7,8]]=>14
[6,7,3,5,1,8,2,4]=>[[1,2,6],[3,4,8],[5,7]]=>14
[2,1,6,7,5,8,3,4]=>[[1,3,4,6],[2,5,8],[7]]=>12
[2,1,5,7,3,6,8,4]=>[[1,3,4,7],[2,5,6],[8]]=>12
[5,7,3,6,1,2,8,4]=>[[1,2,7],[3,4,8],[5,6]]=>13
[4,1,7,2,5,6,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>9
[2,4,7,1,6,5,8,3]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[4,6,2,1,8,7,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[3,4,6,2,7,8,5,1]=>[[1,2,3,5,6],[4,7],[8]]=>15
[4,6,1,2,5,8,7,3]=>[[1,2,5,6],[3,4,7],[8]]=>13
[5,6,1,4,8,2,7,3]=>[[1,2,5],[3,4,7],[6,8]]=>16
[5,6,3,1,8,7,2,4]=>[[1,2,5],[3,6,8],[4,7]]=>15
[3,5,6,4,7,1,8,2]=>[[1,2,3,5,7],[4,8],[6]]=>13
[3,4,6,1,5,7,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>13
[3,4,1,5,7,6,8,2]=>[[1,2,4,5,7],[3,6],[8]]=>13
[3,8,2,7,1,6,5,4]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[3,8,2,7,6,1,5,4]=>[[1,2],[3,4],[5,7],[6],[8]]=>24
[3,8,2,7,6,5,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[3,8,2,7,6,5,4,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>26
[4,8,7,2,6,5,3,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>25
[4,8,7,2,6,5,1,3]=>[[1,2],[3,5],[4,8],[6],[7]]=>21
[4,8,7,2,6,1,5,3]=>[[1,2],[3,5],[4,7],[6],[8]]=>22
[4,8,7,2,1,6,5,3]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[4,8,7,3,1,6,5,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[4,8,7,3,2,1,6,5]=>[[1,2],[3,7],[4,8],[5],[6]]=>19
[4,8,7,3,2,6,1,5]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[4,8,7,3,2,6,5,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[4,8,7,3,6,2,5,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>22
[4,8,7,3,6,2,1,5]=>[[1,2],[3,5],[4,8],[6],[7]]=>21
[4,8,7,3,6,1,5,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>22
[4,8,7,3,6,5,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>21
[4,8,7,3,6,5,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>25
[5,8,7,6,3,4,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>24
[5,8,7,6,3,1,4,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>19
[5,8,7,6,3,2,4,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>23
[5,8,7,6,2,4,3,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>24
[5,8,7,6,2,1,4,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>19
[5,8,7,6,4,2,3,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>23
[5,8,7,6,4,2,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[5,8,7,6,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>23
[5,8,7,6,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[7,3,5,2,6,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[7,2,1,5,6,4,3,8]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[1,4,6,7,3,8,2,5]=>[[1,2,3,4,6],[5,8],[7]]=>15
[6,4,5,7,1,3,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[6,3,5,1,7,4,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[6,2,1,5,7,4,8,3]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[3,2,1,5,7,4,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>8
[2,4,6,7,3,8,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>15
[1,4,6,7,3,8,5,2]=>[[1,2,3,4,6],[5,7],[8]]=>16
[1,5,6,7,8,3,4,2]=>[[1,2,3,4,5],[6,7],[8]]=>17
[2,5,6,7,8,3,1,4]=>[[1,2,3,4,5],[6,8],[7]]=>16
[3,2,1,6,7,8,4,5]=>[[1,4,5,6],[2,7,8],[3]]=>9
[5,2,1,6,7,8,4,3]=>[[1,4,5,6],[2,7],[3,8]]=>10
[5,3,6,1,7,8,4,2]=>[[1,3,5,6],[2,7],[4,8]]=>11
[5,4,6,7,1,8,3,2]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[1,5,6,7,8,3,2,4]=>[[1,2,3,4,5],[6,8],[7]]=>16
[6,4,5,7,2,1,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[5,4,6,7,2,8,3,1]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[6,3,4,2,1,7,8,5]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[4,3,6,2,7,8,5,1]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[3,4,6,7,2,8,5,1]=>[[1,2,3,4,6],[5,7],[8]]=>16
[4,2,1,5,7,3,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>8
[1,5,6,7,8,2,4,3]=>[[1,2,3,4,5],[6,7],[8]]=>17
[1,5,6,7,8,4,2,3]=>[[1,2,3,4,5],[6,8],[7]]=>16
[3,4,6,7,1,8,5,2]=>[[1,2,3,4,6],[5,7],[8]]=>16
[4,3,6,1,7,8,5,2]=>[[1,3,5,6],[2,7],[4,8]]=>11
[2,1,4,3,6,5,8,7,9]=>[[1,3,5,7,9],[2,4,6,8]]=>4
[2,4,1,6,3,7,5,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>14
[2,4,1,5,3,7,6,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>14
[2,3,1,5,4,7,6,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>14
[1,3,2,5,4,7,6,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>14
[2,4,1,3,6,5,8,7,10,9]=>[[1,2,5,7,9],[3,4,6,8,10]]=>7
[2,4,1,6,3,5,8,7,10,9]=>[[1,2,4,7,9],[3,5,6,8,10]]=>10
[2,4,1,6,3,8,5,7,10,9]=>[[1,2,4,6,9],[3,5,7,8,10]]=>14
[2,4,1,6,3,8,5,10,7,9]=>[[1,2,4,6,8],[3,5,7,9,10]]=>19
[2,4,1,6,3,7,5,8,9]=>[[1,2,4,6,8,9],[3,5,7]]=>9
[2,4,1,6,3,8,5,9,7,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>14
[2,4,1,5,3,8,6,9,7]=>[[1,2,4,6,8],[3,5,7,9]]=>14
[2,4,1,6,3,7,5,9,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>14
[2,3,1,6,4,7,5,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>14
[2,4,1,5,3,7,6,9,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>14
[1,4,2,5,3,7,6,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>14
[2,3,1,5,4,7,6,9,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>14
[1,3,2,5,4,7,6,9,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>14
[7,1,2,3,4,5,6,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>1
[1,4,3,6,2,5,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[1,4,3,7,2,5,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[1,4,3,7,6,8,2,5]=>[[1,2,4,6],[3,5],[7,8]]=>17
[1,4,3,7,5,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>15
[1,4,3,7,2,6,5,8]=>[[1,2,4,8],[3,6],[5,7]]=>13
[1,5,3,7,4,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>15
[1,3,2,6,5,8,4,7]=>[[1,2,4,6],[3,5,8],[7]]=>15
[1,5,4,8,2,6,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>13
[1,5,4,8,3,7,2,6]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[1,2,3,6,5,8,4,7]=>[[1,2,3,4,6],[5,8],[7]]=>15
[6,8,2,4,5,7,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>16
[3,7,8,4,5,2,6,1]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[7,8,1,4,5,3,6,2]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[3,8,7,4,1,6,5,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[4,8,3,6,1,5,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[5,8,3,1,6,4,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[5,8,1,4,7,6,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[7,5,1,8,6,2,4,3]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[7,4,1,8,2,6,3,5]=>[[1,4,6,8],[2,5],[3,7]]=>7
[7,1,8,4,2,6,3,5]=>[[1,3,6,8],[2,4],[5,7]]=>11
[1,6,3,8,5,2,4,7]=>[[1,2,4,8],[3,5],[6,7]]=>15
[6,1,3,8,5,2,4,7]=>[[1,3,4,8],[2,5],[6,7]]=>13
[7,1,8,3,6,2,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[7,3,1,8,4,2,6,5]=>[[1,4,7],[2,5,8],[3,6]]=>7
[7,2,8,4,1,6,5,3]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[7,2,8,3,6,5,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[7,2,8,3,6,1,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[7,1,8,2,3,6,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[6,1,2,8,3,5,4,7]=>[[1,3,4,6,8],[2,5],[7]]=>9
[1,5,2,3,8,4,7,6]=>[[1,2,4,5,7],[3,6],[8]]=>13
[5,1,2,3,8,4,7,6]=>[[1,3,4,5,7],[2,6],[8]]=>11
[5,2,3,8,1,4,7,6]=>[[1,3,4,7],[2,6],[5,8]]=>11
[6,2,8,1,3,5,4,7]=>[[1,3,6,8],[2,5],[4,7]]=>8
[6,2,4,1,8,7,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>11
[6,3,1,4,2,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>5
[3,1,6,4,2,8,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>7
[2,6,3,8,7,1,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[2,6,3,8,5,1,4,7]=>[[1,2,4,8],[3,5],[6,7]]=>15
[2,5,1,8,3,4,7,6]=>[[1,2,4,7],[3,5,6],[8]]=>15
[2,5,1,3,8,4,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>12
[1,2,5,3,8,4,7,6]=>[[1,2,3,5,7],[4,6],[8]]=>14
[1,2,4,8,3,7,6,5]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[2,4,8,1,3,7,6,5]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[2,4,8,3,7,1,6,5]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[2,4,8,3,7,6,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[2,5,3,8,1,7,4,6]=>[[1,2,4,8],[3,6],[5,7]]=>13
[2,5,4,1,3,8,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>13
[3,1,5,4,8,2,7,6]=>[[1,3,5],[2,4,7],[6,8]]=>14
[5,3,1,4,8,2,7,6]=>[[1,4,5],[2,6,7],[3,8]]=>11
[5,2,3,8,4,7,1,6]=>[[1,3,4,6],[2,5],[7,8]]=>15
[4,8,2,3,7,6,1,5]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[4,8,2,3,7,1,6,5]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[4,8,1,2,3,7,6,5]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[1,4,8,2,3,7,6,5]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[1,4,8,3,7,2,6,5]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[6,3,8,1,5,2,4,7]=>[[1,3,7,8],[2,5],[4,6]]=>7
[5,3,8,1,2,4,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>9
[5,1,3,8,2,4,7,6]=>[[1,3,4,7],[2,6],[5,8]]=>11
[1,5,3,8,2,4,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>14
[1,5,4,8,2,7,6,3]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[5,1,4,8,2,7,6,3]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[5,4,8,1,2,7,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[6,5,1,2,8,7,4,3]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[5,3,1,6,4,2,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>7
[5,1,6,2,8,7,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[4,1,5,8,2,7,6,3]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[4,1,2,5,8,7,6,3]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[1,4,2,5,8,7,6,3]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[1,3,5,2,8,7,4,6]=>[[1,2,3,5],[4,6,8],[7]]=>17
[3,5,1,2,8,7,4,6]=>[[1,2,5,8],[3,4,6],[7]]=>11
[3,6,2,8,7,5,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[4,2,6,1,8,7,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>11
[4,3,1,5,8,2,7,6]=>[[1,4,5],[2,6,7],[3,8]]=>11
[3,5,2,8,7,1,4,6]=>[[1,2,4],[3,5,8],[6,7]]=>18
[3,4,8,7,2,6,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[3,4,8,7,1,2,6,5]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[3,4,8,1,7,2,6,5]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[1,3,4,8,7,2,6,5]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[1,3,4,8,2,7,6,5]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[3,4,8,1,2,7,6,5]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[3,4,8,2,7,1,6,5]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[3,4,8,2,7,6,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[4,2,5,8,1,7,6,3]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[4,3,1,2,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>10
[3,1,4,2,5,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>11
[2,3,5,1,8,7,6,4]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[7,8,2,1,5,3,6,4]=>[[1,2,7],[3,5,8],[4,6]]=>11
[6,4,1,2,7,3,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>5
[2,3,7,5,4,1,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[6,3,1,5,4,2,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[7,8,1,5,4,2,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[7,8,3,5,4,1,6,2]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[7,8,2,5,4,1,3,6]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[7,8,2,5,4,6,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[6,2,1,5,4,7,3,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[5,3,6,1,4,7,8,2]=>[[1,3,6,7],[2,5],[4,8]]=>9
[5,3,6,2,4,7,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[6,4,2,1,7,3,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[4,3,7,5,8,6,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>15
[4,2,7,1,8,3,6,5]=>[[1,3,5],[2,6,7],[4,8]]=>12
[3,2,6,7,4,8,1,5]=>[[1,3,4,6],[2,5,8],[7]]=>12
[3,1,6,7,4,8,5,2]=>[[1,3,4,6],[2,5,7],[8]]=>13
[1,7,6,5,3,8,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[2,7,6,5,3,8,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[1,7,6,5,2,4,8,3]=>[[1,2,6,7],[3],[4],[5],[8]]=>16
[2,7,6,5,3,1,4,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[2,7,1,4,8,3,5,6]=>[[1,2,5,8],[3,4,7],[6]]=>10
[3,7,6,4,8,5,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[5,7,6,3,8,4,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[5,1,6,2,4,8,3,7]=>[[1,3,5,6],[2,4,8],[7]]=>10
[4,7,6,5,2,1,3,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[4,7,6,5,2,8,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[4,7,6,5,1,8,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[1,7,6,5,2,8,3,4]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[1,7,6,5,3,2,8,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[4,7,6,5,1,2,8,3]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[4,7,6,5,3,1,8,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[6,1,3,5,4,8,7,2]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[5,2,6,3,4,1,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>7
[5,1,6,2,4,7,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>9
[1,2,6,3,4,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>15
[1,7,2,4,8,3,6,5]=>[[1,2,4,5],[3,7],[6,8]]=>16
[6,1,4,2,8,3,5,7]=>[[1,3,5,7,8],[2,6],[4]]=>6
[4,1,8,2,6,3,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>7
[4,7,2,1,5,3,6,8]=>[[1,2,7,8],[3,5],[4,6]]=>10
[4,7,1,6,2,3,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>10
[1,7,2,6,8,3,5,4]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[1,2,6,7,4,8,5,3]=>[[1,2,3,4,6],[5,7],[8]]=>16
[3,1,6,7,4,2,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>11
[3,2,8,5,4,6,1,7]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[4,7,6,3,5,8,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[4,7,1,2,5,3,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>11
[3,7,6,5,2,4,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[3,7,6,5,1,4,8,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[3,7,6,5,2,1,8,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[1,7,6,5,8,2,4,3]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[3,7,6,5,8,1,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[3,7,6,5,1,2,4,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[3,1,6,8,4,2,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>10
[4,7,6,8,3,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[2,7,6,5,1,4,3,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[2,7,6,5,8,1,3,4]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[2,7,6,5,8,4,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[6,3,2,1,7,4,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[4,2,1,7,3,5,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>6
[7,3,1,5,4,2,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[8,4,1,5,2,7,6,3]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[8,2,5,1,3,7,6,4]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[4,3,7,2,1,5,8,6]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[4,7,2,5,3,1,8,6]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[2,7,5,4,1,3,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[7,5,4,3,2,1,8,6]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[6,5,2,1,8,4,3,7]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[5,7,4,3,2,8,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[1,7,6,2,4,8,3,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[2,7,3,6,4,8,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[6,2,7,5,3,8,1,4]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[7,1,8,5,3,6,4,2]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[5,8,3,2,7,1,6,4]=>[[1,2],[3,5],[4,7],[6,8]]=>19
[8,7,3,1,6,5,4,2]=>[[1,5],[2,6],[3],[4],[7],[8]]=>20
[8,7,2,6,1,5,4,3]=>[[1,4],[2,6],[3],[5],[7],[8]]=>21
[1,8,5,7,4,3,6,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[1,8,5,7,2,4,6,3]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[3,8,6,1,7,2,5,4]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[7,2,8,5,6,1,4,3]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[6,3,7,5,8,2,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[3,7,2,6,8,4,1,5]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[3,6,5,8,1,4,2,7]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[2,6,5,8,4,1,3,7]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[6,5,4,8,3,2,1,7]=>[[1,4],[2,8],[3],[5],[6],[7]]=>19
[6,3,5,1,8,4,2,7]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[8,4,1,5,7,3,6,2]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[5,4,1,6,8,2,3,7]=>[[1,4,5,8],[2,6,7],[3]]=>7
[6,3,7,4,8,5,2,1]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[4,7,2,5,8,6,3,1]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[6,3,1,8,4,7,5,2]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[6,5,3,8,7,4,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>18
[5,4,8,1,7,6,2,3]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[5,2,8,1,7,3,6,4]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[6,4,7,8,1,5,3,2]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[2,5,8,7,1,3,6,4]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[5,3,8,7,2,1,6,4]=>[[1,3],[2,4],[5,7],[6,8]]=>20
[8,3,7,6,1,5,4,2]=>[[1,3],[2,6],[4],[5],[7],[8]]=>22
[8,2,7,6,5,1,4,3]=>[[1,3],[2,7],[4],[5],[6],[8]]=>21
[4,3,8,7,6,2,1,5]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[2,4,8,7,6,1,3,5]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[3,5,8,7,2,6,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[4,7,3,8,6,5,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[7,5,8,6,4,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>24
[5,8,7,3,6,4,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>25
[4,8,7,6,2,5,3,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>24
[3,8,7,6,5,1,4,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>23
[2,8,7,6,5,4,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[3,4,1,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>4
[3,2,1,4,5,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>3
[4,5,6,1,2,3,7,8,9]=>[[1,2,3,7,8,9],[4,5,6]]=>9
[4,2,5,1,3,6,7,8,9]=>[[1,3,6,7,8,9],[2,5],[4]]=>5
[4,3,2,1,5,6,7,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>6
[5,6,7,8,1,2,3,4,9]=>[[1,2,3,4,9],[5,6,7,8]]=>16
[5,2,6,7,1,3,4,8,9]=>[[1,3,4,8,9],[2,6,7],[5]]=>9
[5,6,3,4,1,2,7,8,9]=>[[1,2,7,8,9],[3,4],[5,6]]=>12
[5,3,2,6,1,4,7,8,9]=>[[1,4,7,8,9],[2,6],[3],[5]]=>8
[5,4,3,2,1,6,7,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>10
[6,2,7,8,9,1,3,4,5]=>[[1,3,4,5],[2,7,8,9],[6]]=>15
[6,7,3,4,8,1,2,5,9]=>[[1,2,5,9],[3,4,8],[6,7]]=>15
[6,3,2,7,8,1,4,5,9]=>[[1,4,5,9],[2,7,8],[3],[6]]=>12
[6,4,7,2,5,1,3,8,9]=>[[1,3,8,9],[2,5],[4,7],[6]]=>12
[6,4,3,2,7,1,5,8,9]=>[[1,5,8,9],[2,7],[3],[4],[6]]=>12
[6,5,4,3,2,1,7,8,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>15
[7,4,8,2,5,9,1,3,6]=>[[1,3,6],[2,5,9],[4,8],[7]]=>15
[7,4,3,2,8,9,1,5,6]=>[[1,5,6],[2,8,9],[3],[4],[7]]=>16
[7,8,5,6,3,4,1,2,9]=>[[1,2,9],[3,4],[5,6],[7,8]]=>24
[7,5,3,8,2,6,1,4,9]=>[[1,4,9],[2,6],[3,8],[5],[7]]=>16
[7,5,4,3,2,8,1,6,9]=>[[1,6,9],[2,8],[3],[4],[5],[7]]=>17
[7,6,5,4,3,2,1,8,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>21
[8,6,9,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>22
[8,6,4,3,9,2,7,1,5]=>[[1,5],[2,7],[3,9],[4],[6],[8]]=>21
[8,6,5,4,3,2,9,1,7]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>23
[3,4,1,2,5,6,7,8,9,10]=>[[1,2,5,6,7,8,9,10],[3,4]]=>4
[3,2,1,4,5,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>3
[4,5,6,1,2,3,7,8,9,10]=>[[1,2,3,7,8,9,10],[4,5,6]]=>9
[4,2,5,1,3,6,7,8,9,10]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>5
[4,3,2,1,5,6,7,8,9,10]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>6
[5,6,7,8,1,2,3,4,9,10]=>[[1,2,3,4,9,10],[5,6,7,8]]=>16
[5,2,6,7,1,3,4,8,9,10]=>[[1,3,4,8,9,10],[2,6,7],[5]]=>9
[5,6,3,4,1,2,7,8,9,10]=>[[1,2,7,8,9,10],[3,4],[5,6]]=>12
[5,3,2,6,1,4,7,8,9,10]=>[[1,4,7,8,9,10],[2,6],[3],[5]]=>8
[5,4,3,2,1,6,7,8,9,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>10
[6,2,7,8,9,1,3,4,5,10]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>15
[6,7,3,4,8,1,2,5,9,10]=>[[1,2,5,9,10],[3,4,8],[6,7]]=>15
[6,3,2,7,8,1,4,5,9,10]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>12
[6,4,7,2,5,1,3,8,9,10]=>[[1,3,8,9,10],[2,5],[4,7],[6]]=>12
[6,4,3,2,7,1,5,8,9,10]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>12
[6,5,4,3,2,1,7,8,9,10]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>15
[7,8,3,4,9,10,1,2,5,6]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>20
[7,8,9,4,5,6,1,2,3,10]=>[[1,2,3,10],[4,5,6],[7,8,9]]=>27
[7,4,3,2,8,9,1,5,6,10]=>[[1,5,6,10],[2,8,9],[3],[4],[7]]=>16
[7,8,5,6,3,4,1,2,9,10]=>[[1,2,9,10],[3,4],[5,6],[7,8]]=>24
[7,5,3,8,2,6,1,4,9,10]=>[[1,4,9,10],[2,6],[3,8],[5],[7]]=>16
[7,5,4,3,2,8,1,6,9,10]=>[[1,6,9,10],[2,8],[3],[4],[5],[7]]=>17
[7,6,5,4,3,2,1,8,9,10]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>21
[8,5,9,10,2,6,7,1,3,4]=>[[1,3,4],[2,6,7],[5,9,10],[8]]=>24
[8,5,3,9,2,6,10,1,4,7]=>[[1,4,7],[2,6,10],[3,9],[5],[8]]=>19
[8,6,9,4,7,2,5,1,3,10]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>22
[8,6,4,3,9,2,7,1,5,10]=>[[1,5,10],[2,7],[3,9],[4],[6],[8]]=>21
[8,6,5,4,3,2,9,1,7,10]=>[[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>23
[8,7,6,5,4,3,2,1,9,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28
[9,7,5,4,3,10,2,8,1,6]=>[[1,6],[2,8],[3,10],[4],[5],[7],[9]]=>27
[3,6,5,1,2,4,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>9
[3,7,5,8,2,4,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[3,8,5,7,2,4,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[5,1,7,8,4,3,2,6]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[5,1,2,6,4,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>11
[6,1,2,5,4,3,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[5,1,2,4,6,3,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>10
[4,1,2,6,5,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>11
[4,1,5,7,8,3,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>13
[4,1,5,8,7,3,2,6]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[4,7,1,8,3,6,2,5]=>[[1,2,4],[3,5,6],[7,8]]=>20
[4,1,7,8,5,2,3,6]=>[[1,3,4,8],[2,5,7],[6]]=>10
[5,1,7,4,8,2,3,6]=>[[1,3,5,8],[2,4,7],[6]]=>8
[7,5,3,8,1,4,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[2,1,5,8,7,3,4,6]=>[[1,3,4,8],[2,5,7],[6]]=>10
[5,1,8,4,7,2,3,6]=>[[1,3,5,8],[2,4],[6,7]]=>12
[4,1,8,7,5,2,3,6]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[4,7,1,6,3,2,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[6,1,2,3,7,5,8,4]=>[[1,3,4,5,7],[2,6],[8]]=>11
[7,1,2,3,8,6,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[7,1,2,3,5,8,6,4]=>[[1,3,4,5,6],[2,7],[8]]=>12
[6,8,1,4,3,7,2,5]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[8,7,3,2,4,1,6,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[2,1,7,3,4,8,6,5]=>[[1,3,5,6],[2,4,7],[8]]=>11
[7,8,3,2,4,1,6,5]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[6,7,1,4,3,8,2,5]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[8,1,2,3,5,7,6,4]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[8,1,2,3,6,7,5,4]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[7,1,2,3,6,8,5,4]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[7,1,2,3,8,5,6,4]=>[[1,3,4,5,7],[2,6],[8]]=>11
[8,1,2,3,7,5,6,4]=>[[1,3,4,5,7],[2],[6],[8]]=>13
[8,1,2,3,6,5,7,4]=>[[1,3,4,5,7],[2],[6],[8]]=>13
[7,1,8,5,4,3,2,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[7,8,2,6,3,4,1,5]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[6,8,2,7,3,4,1,5]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[6,7,2,8,3,4,1,5]=>[[1,2,4,8],[3,5,6],[7]]=>14
[3,8,7,1,4,2,6,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[3,7,8,1,4,2,6,5]=>[[1,2,3],[4,5,7],[6,8]]=>20
[3,6,8,1,4,2,7,5]=>[[1,2,3],[4,5,7],[6,8]]=>20
[3,5,7,8,2,4,1,6]=>[[1,2,3,4],[5,6,8],[7]]=>18
[3,6,7,1,4,2,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>15
[7,6,2,8,3,1,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[8,6,2,7,3,1,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[8,1,7,5,4,3,2,6]=>[[1,3,8],[2],[4],[5],[6],[7]]=>19
[8,1,7,4,5,3,2,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>15
[5,8,3,7,1,4,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[2,1,7,3,4,6,8,5]=>[[1,3,5,6,7],[2,4],[8]]=>9
[6,7,3,2,4,1,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[8,7,2,4,3,6,1,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[7,1,2,3,5,6,8,4]=>[[1,3,4,5,6,7],[2],[8]]=>8
[6,1,2,3,8,7,4,5]=>[[1,3,4,5,8],[2,6],[7]]=>10
[5,1,2,3,7,8,6,4]=>[[1,3,4,5,6],[2,7],[8]]=>12
[5,1,2,3,8,7,6,4]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[5,1,2,3,8,6,7,4]=>[[1,3,4,5,7],[2,6],[8]]=>11
[6,1,2,3,5,8,7,4]=>[[1,3,4,5,6],[2,7],[8]]=>12
[8,6,2,4,3,1,7,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[7,6,3,2,4,8,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[2,1,6,3,4,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>11
[8,6,3,2,4,7,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[7,6,2,4,3,1,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[6,1,2,3,5,7,8,4]=>[[1,3,4,5,6,7],[2],[8]]=>8
[5,1,2,3,6,8,7,4]=>[[1,3,4,5,6],[2,7],[8]]=>12
[7,8,1,2,6,3,5,4]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[1,4,8,2,7,3,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>11
[1,2,8,5,4,7,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[1,3,8,5,4,2,7,6]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[2,3,6,8,4,7,1,5]=>[[1,2,3,4],[5,6],[7,8]]=>20
[1,3,6,8,4,7,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[2,4,8,1,7,3,6,5]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[3,4,8,5,7,6,1,2]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[1,2,6,8,4,5,7,3]=>[[1,2,3,4,7],[5,6],[8]]=>15
[7,5,1,2,4,3,6,8]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[7,4,6,1,5,2,3,8]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[7,1,4,2,6,3,5,8]=>[[1,3,5,7,8],[2,6],[4]]=>6
[6,8,1,4,7,2,3,5]=>[[1,2,5,8],[3,4],[6,7]]=>14
[1,6,4,2,8,3,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>8
[1,6,3,8,5,4,2,7]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[6,8,1,7,3,5,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[7,1,3,6,5,4,2,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[7,3,1,6,5,4,2,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[7,2,1,4,6,3,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>7
[7,2,3,6,5,1,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[7,1,2,3,6,5,4,8]=>[[1,3,4,5,8],[2],[6],[7]]=>12
[6,8,1,2,7,3,5,4]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[1,6,2,3,8,5,4,7]=>[[1,2,4,5,8],[3,6],[7]]=>12
[1,5,8,2,7,6,3,4]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[5,1,8,2,7,6,3,4]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[5,8,2,7,6,3,4,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[6,2,8,1,7,3,5,4]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[6,8,2,1,7,4,3,5]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[3,6,4,1,2,8,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>8
[2,1,6,3,8,5,4,7]=>[[1,3,5,8],[2,4,6],[7]]=>9
[2,5,1,8,7,6,3,4]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[2,5,3,8,7,4,6,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[1,2,5,3,8,7,4,6]=>[[1,2,3,5,8],[4,6],[7]]=>13
[2,4,8,7,6,5,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[2,5,3,8,7,1,6,4]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[2,5,8,4,1,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[3,5,8,7,1,4,2,6]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[5,3,8,4,1,7,6,2]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[4,2,8,7,6,3,5,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[4,2,8,7,6,5,3,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>24
[4,1,8,7,6,5,3,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>24
[4,3,8,7,6,5,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[6,3,1,8,7,2,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[5,8,3,7,6,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>24
[5,1,3,8,7,6,2,4]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[1,5,3,8,7,6,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[1,5,8,4,7,2,6,3]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[5,1,8,4,7,2,6,3]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[5,8,7,4,6,1,2,3]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[6,8,5,1,2,4,7,3]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[5,6,3,1,2,4,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>9
[5,6,2,4,3,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[5,6,1,2,4,3,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>11
[4,5,8,1,7,2,3,6]=>[[1,2,3,8],[4,5,7],[6]]=>14
[4,5,8,1,7,2,6,3]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[1,3,2,5,8,7,4,6]=>[[1,2,4,5],[3,6,8],[7]]=>16
[3,5,1,8,7,4,6,2]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[3,5,1,8,7,2,6,4]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[4,3,6,1,2,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>6
[4,5,8,3,1,7,2,6]=>[[1,2,3],[4,6,8],[5,7]]=>17
[4,5,2,8,7,1,3,6]=>[[1,2,4],[3,5,8],[6,7]]=>18
[3,2,5,8,7,1,6,4]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[3,4,8,7,6,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[3,1,4,8,7,6,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[3,4,8,7,6,5,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[1,3,4,8,7,6,2,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[3,4,8,7,6,2,5,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[3,2,5,8,7,4,6,1]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[4,5,8,3,1,7,6,2]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[2,1,3,5,8,7,4,6]=>[[1,3,4,5],[2,6,8],[7]]=>13
[1,2,7,5,8,6,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[7,1,4,8,2,6,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[6,8,1,3,7,5,2,4]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[3,7,8,1,2,6,5,4]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[1,3,7,8,2,6,5,4]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[2,3,7,8,1,6,5,4]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[2,7,8,1,3,6,5,4]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[8,1,2,6,7,3,5,4]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[8,1,2,6,7,5,3,4]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[8,2,5,7,1,3,6,4]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[2,8,1,6,7,3,5,4]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[2,6,8,3,7,1,5,4]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[2,8,6,4,7,1,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[6,8,3,4,1,7,5,2]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[6,8,3,7,4,1,5,2]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[2,6,8,3,7,5,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[2,8,1,6,7,5,3,4]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[8,2,5,7,1,6,3,4]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[8,4,7,2,3,6,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[8,5,7,4,2,6,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>17
[8,3,5,7,4,1,6,2]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[8,5,2,4,7,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[8,2,3,5,7,1,6,4]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[8,2,4,7,3,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[8,2,7,1,4,6,3,5]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[8,7,1,2,4,6,3,5]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[8,7,1,4,6,2,3,5]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[8,4,7,1,3,6,2,5]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[1,6,8,3,7,2,5,4]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[8,3,5,7,1,2,6,4]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[5,8,7,1,3,6,2,4]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[8,5,4,7,1,6,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[8,5,4,7,1,2,6,3]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[8,5,1,4,7,2,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[1,4,6,8,2,7,5,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[1,6,5,8,2,7,4,3]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[8,5,6,3,1,7,4,2]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[5,6,2,8,1,7,4,3]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[1,8,4,5,7,2,6,3]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[5,8,7,3,6,1,2,4]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[8,3,5,7,1,6,2,4]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[1,6,8,3,7,5,2,4]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[6,3,8,2,7,5,1,4]=>[[1,3],[2,5],[4,6],[7,8]]=>19
[6,8,4,2,7,1,5,3]=>[[1,2],[3,5],[4,7],[6,8]]=>19
[8,6,4,7,3,1,5,2]=>[[1,4],[2,7],[3,8],[5],[6]]=>15
[8,4,5,7,3,1,6,2]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[8,4,2,5,7,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[8,3,4,7,2,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[8,7,1,3,4,6,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[8,3,7,2,4,6,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[2,8,4,5,7,1,6,3]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[8,7,3,4,5,1,6,2]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[8,7,4,5,2,6,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[5,8,7,2,3,6,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[8,7,2,3,4,6,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[8,7,2,3,6,1,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[1,3,2,8,5,4,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>14
[4,2,8,5,3,7,1,6]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[5,2,1,8,4,3,7,6]=>[[1,4,7],[2,5,8],[3,6]]=>7
[6,2,8,4,3,7,5,1]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[7,2,8,4,3,1,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[7,3,4,8,2,1,6,5]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[6,3,4,8,2,7,5,1]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[5,3,4,1,8,2,7,6]=>[[1,3,5],[2,6,7],[4,8]]=>12
[8,1,4,5,2,3,7,6]=>[[1,3,4,7],[2,6,8],[5]]=>10
[8,1,5,4,3,2,7,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[3,5,4,2,8,1,7,6]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[4,5,3,2,8,7,1,6]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[6,4,3,2,8,7,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[6,5,3,2,1,7,8,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[5,6,3,2,7,8,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[4,1,6,3,2,7,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>8
[3,6,4,2,7,8,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[8,1,6,4,3,7,2,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[8,1,7,4,3,6,5,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[2,7,4,1,3,6,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>8
[3,7,4,2,6,1,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[4,1,7,3,2,6,5,8]=>[[1,3,6,8],[2,4],[5,7]]=>11
[5,7,3,2,6,4,8,1]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[6,7,3,2,5,4,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[7,6,3,2,1,5,4,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[4,7,5,6,2,3,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[3,1,7,5,6,2,4,8]=>[[1,3,5,8],[2,4,7],[6]]=>8
[2,7,5,6,1,3,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>12
[2,6,5,7,1,3,8,4]=>[[1,2,4,7],[3,6,8],[5]]=>13
[4,6,5,7,2,8,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[5,6,4,7,2,8,3,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[6,5,4,1,7,2,8,3]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[7,5,4,6,2,1,8,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[6,4,5,7,1,8,2,3]=>[[1,3,4,6],[2,7,8],[5]]=>11
[5,4,6,1,7,8,2,3]=>[[1,3,5,6],[2,7,8],[4]]=>10
[8,1,5,6,7,2,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>12
[2,1,4,6,8,7,3,5]=>[[1,3,4,5],[2,6,8],[7]]=>13
[3,4,6,8,7,1,2,5]=>[[1,2,3,4],[5,7,8],[6]]=>17
[4,3,1,6,8,7,2,5]=>[[1,4,5],[2,6,8],[3,7]]=>10
[5,3,6,8,7,2,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[6,3,5,1,8,7,2,4]=>[[1,3,5],[2,6,8],[4,7]]=>11
[7,3,5,8,6,2,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[7,2,8,5,6,3,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[6,2,8,5,1,7,3,4]=>[[1,3,6],[2,4,8],[5,7]]=>12
[4,2,1,8,6,7,3,5]=>[[1,4,6],[2,5,8],[3,7]]=>8
[1,3,2,8,6,7,4,5]=>[[1,2,4,6],[3,5,8],[7]]=>15
[2,3,8,6,7,1,4,5]=>[[1,2,3,5],[4,7,8],[6]]=>16
[8,1,3,2,6,7,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>10
[2,3,8,7,1,6,5,4]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[4,2,8,7,6,1,5,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[5,2,8,7,6,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[7,2,1,8,6,5,4,3]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[7,3,6,1,8,5,4,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[6,3,7,8,5,4,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[5,3,7,8,6,4,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[4,3,1,7,8,6,5,2]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[3,4,7,8,6,1,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[8,1,5,7,6,2,4,3]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[3,5,7,6,8,1,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[4,5,7,6,8,3,1,2]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[5,4,1,7,6,8,3,2]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[6,4,7,5,8,3,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[7,4,6,5,1,8,3,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[7,5,6,4,3,1,8,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[6,5,1,7,4,3,8,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[4,6,7,5,3,8,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[3,6,7,5,1,4,8,2]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[8,1,6,7,5,4,2,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[8,1,7,6,5,4,3,2]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>26
[2,7,6,1,5,4,3,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[3,7,6,5,1,4,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[4,7,6,5,3,1,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[8,6,4,3,1,5,7,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[8,6,4,1,5,2,7,3]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[8,6,5,1,3,2,7,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[8,6,3,1,7,2,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[8,7,3,1,5,2,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[5,3,1,7,2,4,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[8,7,1,2,4,5,3,6]=>[[1,4,5,6,8],[2],[3],[7]]=>9
[8,6,1,2,4,7,3,5]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[8,5,1,2,6,7,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>9
[8,5,1,6,4,2,7,3]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[8,5,1,3,6,4,7,2]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[8,6,1,5,3,4,7,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>14
[8,6,1,5,2,4,7,3]=>[[1,4,6,7],[2],[3],[5],[8]]=>14
[8,6,1,2,5,7,3,4]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[8,6,1,2,7,4,3,5]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[8,7,1,2,5,4,3,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[5,1,4,2,3,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>7
[5,1,4,2,7,3,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>6
[7,1,5,8,2,6,3,4]=>[[1,3,4,8],[2,6],[5,7]]=>10
[5,7,8,1,2,4,6,3]=>[[1,2,3,7],[4,5,6],[8]]=>16
[5,7,8,1,3,4,6,2]=>[[1,2,3,7],[4,5,6],[8]]=>16
[5,8,1,7,3,4,6,2]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[8,1,5,7,2,4,6,3]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[8,4,1,2,7,6,3,5]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[1,4,2,3,8,7,5,6]=>[[1,2,4,5,8],[3,6],[7]]=>12
[1,4,2,7,6,3,5,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[6,1,2,8,7,5,3,4]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[6,1,2,4,8,7,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[3,1,8,4,6,7,5,2]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[3,1,7,6,4,8,5,2]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[7,1,2,4,6,8,5,3]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[7,1,2,6,8,5,3,4]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[6,1,2,7,8,5,3,4]=>[[1,3,4,5],[2,6,8],[7]]=>13
[6,1,2,7,4,8,5,3]=>[[1,3,4,6],[2,5,7],[8]]=>13
[3,1,6,4,7,8,5,2]=>[[1,3,5,6],[2,4,7],[8]]=>11
[5,7,1,3,8,4,6,2]=>[[1,2,5,7],[3,4,6],[8]]=>12
[5,7,1,8,4,2,6,3]=>[[1,2,4],[3,5,7],[6,8]]=>19
[7,1,5,3,2,8,6,4]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[7,1,4,5,2,8,6,3]=>[[1,3,4,6],[2,7],[5,8]]=>12
[4,7,3,1,5,8,6,2]=>[[1,2,6],[3,5,7],[4,8]]=>13
[4,8,7,3,1,5,6,2]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[8,1,7,4,5,2,6,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,1,7,5,3,2,6,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[8,3,7,1,2,6,4,5]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[3,1,2,8,4,7,5,6]=>[[1,3,4,6,8],[2,5],[7]]=>9
[3,1,2,8,6,4,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>8
[3,1,7,2,6,4,5,8]=>[[1,3,5,7,8],[2,4],[6]]=>7
[1,4,2,3,8,6,5,7]=>[[1,2,4,5,8],[3,6],[7]]=>12
[1,4,2,3,8,5,7,6]=>[[1,2,4,5,7],[3,6],[8]]=>13
[5,8,1,7,2,4,6,3]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[5,8,1,3,4,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[3,1,8,6,4,7,5,2]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[8,1,2,6,7,4,5,3]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[6,1,2,8,7,3,5,4]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[1,2,3,5,8,4,7,6]=>[[1,2,3,4,5],[6,7],[8]]=>17
[1,2,3,5,8,6,4,7]=>[[1,2,3,4,5,8],[6],[7]]=>11
[7,1,2,8,3,6,5,4]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[7,1,2,8,6,4,5,3]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[3,1,7,8,4,6,5,2]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[3,1,8,7,6,4,5,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[8,1,2,7,4,6,5,3]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[8,1,2,7,3,6,5,4]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[1,2,3,5,8,7,4,6]=>[[1,2,3,4,5],[6,8],[7]]=>16
[1,2,3,6,8,5,4,7]=>[[1,2,3,4,5],[6,8],[7]]=>16
[7,8,5,6,3,1,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>22
[7,5,6,3,1,4,2,8]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[7,5,8,3,1,4,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[7,8,5,3,1,4,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[7,8,5,3,1,6,2,4]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[7,8,5,3,1,6,4,2]=>[[1,2],[3,6],[4,7],[5,8]]=>18
[7,8,5,3,6,1,4,2]=>[[1,2],[3,5],[4,7],[6,8]]=>19
[7,8,5,3,6,4,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>22
[7,5,8,3,4,1,6,2]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[7,5,6,3,4,1,8,2]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[7,5,6,3,1,2,8,4]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[7,5,3,6,1,2,8,4]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[7,5,3,1,4,2,6,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[7,5,3,1,6,4,8,2]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[7,5,3,6,4,1,8,2]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[7,5,3,6,4,8,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[7,5,3,8,4,6,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[7,5,3,8,1,4,6,2]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[7,5,3,1,8,4,6,2]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[7,5,3,1,8,2,6,4]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[7,5,3,1,6,4,2,8]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[7,5,3,1,8,4,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[7,5,3,1,8,6,2,4]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[7,5,3,8,1,6,4,2]=>[[1,4],[2,6],[3,7],[5,8]]=>13
[7,5,3,8,6,1,4,2]=>[[1,4],[2,5],[3,7],[6,8]]=>14
[7,5,3,8,6,4,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>18
[7,5,8,3,6,4,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>19
[7,5,8,3,6,1,4,2]=>[[1,3],[2,5],[4,7],[6,8]]=>15
[7,5,8,3,1,6,4,2]=>[[1,3],[2,6],[4,7],[5,8]]=>14
[7,5,3,6,1,4,2,8]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[7,5,3,8,4,1,2,6]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[7,5,8,6,3,1,2,4]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[7,5,8,6,3,1,4,2]=>[[1,3],[2,4],[5,7],[6,8]]=>20
[7,5,8,6,3,4,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>22
[7,5,6,8,3,1,4,2]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[7,5,6,3,8,1,2,4]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[7,5,3,4,1,8,2,6]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[7,5,6,3,1,8,2,4]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[7,5,6,3,1,8,4,2]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[7,5,6,3,8,1,4,2]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[7,5,6,3,8,4,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[7,5,3,6,1,8,4,2]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[7,5,3,1,6,8,2,4]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[7,5,3,1,2,8,4,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[7,5,3,1,2,8,6,4]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[7,5,3,1,4,8,6,2]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[7,5,3,4,8,1,6,2]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[7,5,3,4,1,6,8,2]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[7,5,3,1,4,6,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[3,6,2,5,4,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[3,5,2,8,4,7,6,1]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[5,4,7,3,2,8,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[5,4,8,3,2,7,6,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>18
[6,4,5,3,2,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[5,3,2,6,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[4,5,8,3,2,7,6,1]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[4,7,6,3,8,5,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[4,8,6,3,7,5,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[4,8,5,3,2,7,6,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[5,8,4,3,2,7,6,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[5,3,2,8,4,7,6,1]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[2,1,5,8,4,7,6,3]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[5,3,2,7,4,8,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[5,7,4,3,2,8,6,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[4,7,5,3,2,8,6,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[4,7,8,3,6,5,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[4,6,8,3,7,5,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[7,6,4,3,8,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>20
[7,3,2,6,8,5,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[2,1,8,6,7,5,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[8,3,2,6,7,5,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[8,6,4,3,7,5,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>20
[8,5,7,6,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>26
[8,4,5,3,2,7,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[8,4,7,3,6,5,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>23
[8,4,6,3,7,5,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[7,4,6,3,8,5,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[3,7,2,6,8,5,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[3,8,2,6,7,5,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[3,8,2,5,4,7,6,1]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[3,7,2,8,6,5,4,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[3,6,2,8,7,5,4,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[6,4,7,3,8,5,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[6,4,8,3,7,5,2,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[7,4,8,3,6,5,2,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[7,4,5,3,2,8,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[7,5,4,3,2,8,6,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>18
[7,3,2,5,4,8,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[2,1,7,5,4,8,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[7,3,2,8,6,5,4,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[7,8,4,3,6,5,2,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[6,8,5,7,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>26
[6,8,4,3,7,5,2,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[6,3,2,8,7,5,4,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[6,3,2,7,8,5,4,1]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[6,7,4,3,8,5,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[2,3,1,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>2
[2,3,4,1,5,6,7,8,9]=>[[1,2,3,5,6,7,8,9],[4]]=>3
[2,3,4,5,1,6,7,8,9]=>[[1,2,3,4,6,7,8,9],[5]]=>4
[2,3,4,5,6,1,7,8,9]=>[[1,2,3,4,5,7,8,9],[6]]=>5
[2,3,1,4,5,6,7,8,9,10]=>[[1,2,4,5,6,7,8,9,10],[3]]=>2
[2,4,3,1,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3],[4]]=>5
[2,3,4,1,5,6,7,8,9,10]=>[[1,2,3,5,6,7,8,9,10],[4]]=>3
[2,3,5,4,1,6,7,8,9]=>[[1,2,3,6,7,8,9],[4],[5]]=>7
[2,3,4,5,1,6,7,8,9,10]=>[[1,2,3,4,6,7,8,9,10],[5]]=>4
[2,3,4,6,5,1,7,8,9]=>[[1,2,3,4,7,8,9],[5],[6]]=>9
[2,3,4,5,6,1,7,8,9,10]=>[[1,2,3,4,5,7,8,9,10],[6]]=>5
[2,3,4,5,7,6,1,8,9]=>[[1,2,3,4,5,8,9],[6],[7]]=>11
[2,3,4,5,6,7,1,8,9,10]=>[[1,2,3,4,5,6,8,9,10],[7]]=>6
[2,3,4,5,6,8,7,1,9]=>[[1,2,3,4,5,6,9],[7],[8]]=>13
[2,3,4,5,6,7,8,1,9,10]=>[[1,2,3,4,5,6,7,9,10],[8]]=>7
[2,3,4,5,6,7,9,8,1]=>[[1,2,3,4,5,6,7],[8],[9]]=>15
[4,6,8,3,5,7,1,2]=>[[1,2,3],[4,5,6],[7,8]]=>21
[6,8,1,2,4,5,7,3]=>[[1,2,5,6,7],[3,4],[8]]=>11
[3,5,8,2,4,7,1,6]=>[[1,2,3],[4,5,6],[7,8]]=>21
[8,3,5,2,4,1,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[4,2,5,7,3,6,1,8]=>[[1,3,4,8],[2,5,6],[7]]=>11
[4,5,2,8,3,1,6,7]=>[[1,2,4,8],[3,5,7],[6]]=>13
[4,2,5,8,3,7,1,6]=>[[1,3,4],[2,5,6],[7,8]]=>17
[2,1,6,8,4,7,3,5]=>[[1,3,4],[2,5,6],[7,8]]=>17
[1,2,5,8,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>15
[5,3,6,8,4,7,1,2]=>[[1,3,4],[2,5,6],[7,8]]=>17
[1,6,5,8,2,4,7,3]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[3,1,2,6,8,5,7,4]=>[[1,3,4,5],[2,6,7],[8]]=>14
[1,4,3,8,2,6,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>14
[5,4,8,3,2,1,6,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[5,4,3,7,2,6,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[4,3,6,2,7,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[4,6,3,2,1,8,5,7]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[4,1,7,3,2,5,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>8
[4,3,1,7,8,2,6,5]=>[[1,4,5],[2,6,7],[3,8]]=>11
[3,5,1,2,7,8,6,4]=>[[1,2,5,6],[3,4,7],[8]]=>13
[7,5,1,4,8,2,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[5,4,7,3,8,6,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[5,8,4,7,6,3,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[5,8,7,1,4,2,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[8,3,5,1,2,7,6,4]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[4,8,3,1,7,2,6,5]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[1,8,4,3,5,2,7,6]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[4,6,3,1,5,2,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>11
[4,7,3,6,5,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[5,3,7,6,4,2,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[1,6,3,4,2,8,7,5]=>[[1,2,4,6],[3,7],[5,8]]=>15
[1,8,3,6,2,7,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[1,6,8,7,4,2,5,3]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[6,4,8,7,5,3,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[7,6,4,3,8,5,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[1,7,6,2,8,4,5,3]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[7,1,3,2,6,8,5,4]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[1,5,3,2,7,4,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>12
[6,3,2,1,8,5,4,7]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[6,5,3,2,7,4,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[5,2,6,3,7,4,1,8]=>[[1,3,5,8],[2,4,6],[7]]=>9
[2,8,5,3,1,6,4,7]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[2,1,7,3,8,5,4,6]=>[[1,3,5,8],[2,4,6],[7]]=>9
[1,6,2,3,7,8,5,4]=>[[1,2,4,5,6],[3,7],[8]]=>14
[1,6,7,2,8,4,5,3]=>[[1,2,3,5],[4,6,7],[8]]=>18
[5,7,1,8,2,4,6,3]=>[[1,2,4,7],[3,5,6],[8]]=>15
[5,1,2,7,8,3,6,4]=>[[1,3,4,5],[2,6,7],[8]]=>14
[2,4,1,7,8,6,3,5]=>[[1,2,4,5],[3,6,8],[7]]=>16
[4,2,1,7,3,8,5,6]=>[[1,4,6,8],[2,5,7],[3]]=>5
[6,2,8,4,3,1,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[7,3,2,1,8,4,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[7,8,3,2,5,6,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[7,1,8,2,4,5,6,3]=>[[1,3,5,6,7],[2,4],[8]]=>9
[8,7,6,1,2,4,5,3]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[8,3,7,6,2,1,4,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[3,2,8,7,5,1,4,6]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[8,3,6,5,2,1,4,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[7,6,3,5,2,4,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[7,4,6,2,5,3,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[8,2,4,1,6,5,3,7]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[4,2,8,1,7,5,3,6]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[8,2,4,1,7,6,3,5]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[8,7,1,5,6,2,4,3]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[8,5,7,3,6,4,1,2]=>[[1,3],[2,5],[4,8],[6],[7]]=>18
[6,8,3,7,5,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[8,1,6,7,5,2,4,3]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[8,1,2,6,4,3,7,5]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[2,8,1,7,5,4,3,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[2,5,1,8,6,4,3,7]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[5,7,2,6,4,3,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[6,2,7,5,4,3,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[2,1,8,6,5,4,3,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[1,2,7,5,4,3,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[1,7,2,4,3,8,6,5]=>[[1,2,4,6],[3,7],[5,8]]=>15
[1,7,2,8,3,6,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[1,7,8,6,5,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[7,3,8,6,5,4,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[1,8,7,6,5,2,4,3]=>[[1,2,7],[3],[4],[5],[6],[8]]=>21
[8,1,7,3,2,6,5,4]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[5,1,4,3,2,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[8,6,5,3,2,1,7,4]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[8,6,3,2,1,7,4,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,6,5,4,1,7,2,3]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,6,5,1,7,3,2,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[8,6,1,7,4,3,2,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[4,6,3,2,7,5,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[1,4,3,7,2,5,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>13
[7,4,8,3,1,6,2,5]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[7,1,5,8,3,2,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[5,7,4,1,8,2,6,3]=>[[1,2,5],[3,6,7],[4,8]]=>16
[5,7,4,3,1,8,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[1,8,7,2,5,4,6,3]=>[[1,2,5,7],[3],[4],[6],[8]]=>17
[1,8,5,3,7,2,6,4]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[4,3,1,8,7,5,2,6]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[1,4,8,6,3,5,2,7]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[7,4,6,3,5,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[1,3,5,6,8,4,2,7]=>[[1,2,3,4,5],[6,8],[7]]=>16
[3,5,4,8,7,1,2,6]=>[[1,2,4],[3,5,8],[6,7]]=>18
[3,1,4,6,8,7,2,5]=>[[1,3,4,5],[2,6,8],[7]]=>13
[1,6,3,8,7,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[1,6,2,4,8,7,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[8,4,1,6,7,5,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[7,1,6,4,8,5,2,3]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[7,3,6,8,5,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[1,3,7,2,6,8,4,5]=>[[1,2,3,6],[4,5,8],[7]]=>16
[3,6,5,2,8,1,4,7]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[3,6,5,7,2,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[4,2,6,3,8,1,5,7]=>[[1,3,5,8],[2,4,7],[6]]=>8
[4,2,6,7,3,5,1,8]=>[[1,3,4,8],[2,5,6],[7]]=>11
[3,6,2,4,7,5,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>11
[3,6,2,4,1,8,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>9
[7,3,8,2,1,6,4,5]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[7,3,5,2,1,8,6,4]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[8,7,6,4,3,1,5,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[8,7,6,4,1,5,2,3]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[3,8,7,2,1,4,6,5]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[3,8,2,7,1,5,4,6]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[3,6,8,2,1,5,4,7]=>[[1,2,3],[4,6,8],[5,7]]=>17
[2,4,8,1,6,5,3,7]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[4,2,8,1,5,7,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>9
[8,5,7,6,1,4,2,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[8,6,1,7,3,5,4,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[8,6,1,7,5,4,2,3]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[1,6,2,8,7,3,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[1,8,2,4,6,7,3,5]=>[[1,2,4,5,6],[3,8],[7]]=>13
[2,8,5,4,7,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[2,1,5,8,6,4,3,7]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[7,2,5,6,4,3,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[1,2,5,7,8,4,3,6]=>[[1,2,3,4,5],[6,8],[7]]=>16
[1,2,7,4,8,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>19
[1,2,7,8,3,6,5,4]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[7,1,8,6,3,5,4,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[1,8,7,6,3,5,2,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[1,8,7,4,6,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[7,1,5,8,3,4,6,2]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[7,1,6,4,2,3,5,8]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[8,6,2,4,7,3,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[8,6,2,4,5,7,3,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[2,7,1,4,5,8,3,6]=>[[1,2,5,6],[3,4,8],[7]]=>12
[7,1,6,4,5,2,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[7,1,4,5,6,8,2,3]=>[[1,3,4,5,6],[2,8],[7]]=>11
[7,1,4,6,5,8,3,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[7,1,2,3,8,5,4,6]=>[[1,3,4,5,8],[2,6],[7]]=>10
[7,1,5,4,3,8,2,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[7,1,3,4,2,6,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>9
[7,1,5,4,6,2,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[7,1,5,6,4,3,8,2]=>[[1,3,4,7],[2],[5],[6],[8]]=>17
[7,1,6,5,4,3,2,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>19
[8,6,2,5,4,3,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>19
[2,5,1,7,4,3,6,8]=>[[1,2,4,8],[3,5,7],[6]]=>13
[2,5,1,4,7,8,6,3]=>[[1,2,5,6],[3,4,7],[8]]=>13
[3,5,1,4,8,6,2,7]=>[[1,2,5,8],[3,4,6],[7]]=>11
[3,6,2,4,7,8,1,5]=>[[1,2,5,6],[3,4,8],[7]]=>12
[5,6,2,4,8,7,1,3]=>[[1,2,5],[3,4,6],[7,8]]=>17
[6,3,8,2,4,7,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[6,5,8,7,2,3,1,4]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[6,5,7,8,2,4,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[6,3,4,2,8,5,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[3,4,7,2,5,8,1,6]=>[[1,2,3,6],[4,5,8],[7]]=>16
[4,6,8,1,3,5,2,7]=>[[1,2,3,8],[4,5,6],[7]]=>15
[4,3,8,1,2,7,5,6]=>[[1,3,6,8],[2,5],[4,7]]=>8
[3,6,4,1,7,2,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>11
[2,8,3,1,5,6,4,7]=>[[1,2,5,6,8],[3,7],[4]]=>9
[3,8,7,1,5,4,2,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[4,3,1,7,6,8,2,5]=>[[1,4,6],[2,5,8],[3,7]]=>8
[3,4,1,7,5,6,8,2]=>[[1,2,4,6,7],[3,5],[8]]=>12
[3,4,1,5,7,6,2,8]=>[[1,2,4,5,8],[3,6],[7]]=>12
[3,7,4,1,6,2,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>12
[8,4,7,2,5,3,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[4,7,8,1,2,3,6,5]=>[[1,2,3,7],[4,5,6],[8]]=>16
[2,8,6,1,5,3,7,4]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[7,6,5,1,3,8,2,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[7,6,5,1,3,4,8,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[7,2,6,4,1,3,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[6,7,5,2,1,3,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[8,4,5,3,7,2,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[4,7,5,2,8,1,6,3]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[2,6,4,3,1,5,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[7,3,8,4,1,5,2,6]=>[[1,3,6,8],[2,4],[5,7]]=>11
[7,2,3,4,1,6,5,8]=>[[1,3,4,6,8],[2,7],[5]]=>8
[4,2,8,3,6,1,5,7]=>[[1,3,5,8],[2,4],[6,7]]=>12
[6,8,5,7,2,1,3,4]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[4,8,5,2,7,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[6,3,5,2,1,7,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[6,8,5,3,1,4,2,7]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[3,6,5,4,2,8,1,7]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[1,6,4,7,2,5,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>13
[1,6,4,8,2,5,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>13
[1,6,5,8,2,4,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[1,6,8,2,4,3,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>17
[1,6,2,4,3,7,8,5]=>[[1,2,4,6,7],[3,8],[5]]=>11
[1,5,6,2,4,7,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,5,6,2,4,7,8,3]=>[[1,2,3,6,7],[4,5],[8]]=>13
[1,5,8,2,4,7,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>18
[1,5,7,2,4,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>16
[1,6,5,7,2,4,3,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[1,6,7,2,4,3,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>15
[1,5,6,7,2,4,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>15
[1,5,8,2,4,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>13
[1,5,7,2,4,6,8,3]=>[[1,2,3,6,7],[4,5],[8]]=>13
[1,5,7,8,3,2,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>17
[1,5,8,3,2,4,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>10
[1,5,6,2,4,8,3,7]=>[[1,2,3,6],[4,5,8],[7]]=>16
[1,7,6,2,8,3,4,5]=>[[1,2,5,7,8],[3,6],[4]]=>8
[1,7,3,4,2,8,6,5]=>[[1,2,4,6],[3,7],[5,8]]=>15
[1,6,2,4,3,8,7,5]=>[[1,2,4,6],[3,7],[5,8]]=>15
[1,5,6,2,4,8,7,3]=>[[1,2,3,6],[4,5,7],[8]]=>17
[1,5,8,7,3,2,4,6]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[1,4,2,3,5,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>14
[1,5,2,3,4,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>14
[1,6,5,2,3,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>14
[1,7,4,2,8,6,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[1,7,6,5,2,8,4,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[1,6,7,5,2,3,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>14
[1,7,5,2,8,4,3,6]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[1,7,5,6,2,8,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>14
[1,5,7,6,2,4,8,3]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[1,5,8,3,2,4,7,6]=>[[1,2,3,7],[4,6],[5,8]]=>15
[1,6,5,2,3,7,4,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,6,5,2,3,7,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>10
[1,6,8,4,2,3,7,5]=>[[1,2,3,7],[4,6],[5,8]]=>15
[1,7,4,6,2,8,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>14
[1,7,3,5,2,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>14
[1,6,8,5,2,3,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>15
[1,6,4,2,3,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>10
[1,6,4,2,3,7,5,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,5,8,6,2,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[1,5,7,3,2,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>14
[1,7,3,4,2,8,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,7,4,2,8,5,3,6]=>[[1,2,5,8],[3,6],[4,7]]=>12
[1,6,7,4,2,3,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>14
[1,6,4,2,3,8,5,7]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,7,6,4,2,8,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[1,7,5,2,8,6,4,3]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[1,6,4,2,3,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>14
[7,3,5,6,1,4,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[3,7,5,6,1,4,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[8,2,4,1,6,7,5,3]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[8,6,1,4,2,7,5,3]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[3,6,1,4,2,8,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>9
[1,6,7,4,3,5,8,2]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[6,7,1,4,3,5,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[7,6,1,4,3,5,8,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>14
[3,5,4,1,6,7,8,2]=>[[1,2,5,6,7],[3,8],[4]]=>10
[4,7,1,6,3,5,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[3,1,4,7,6,5,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[6,1,7,4,3,5,8,2]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[7,1,6,4,3,5,8,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>15
[1,7,6,4,3,5,8,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>16
[8,1,6,4,2,7,5,3]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[8,4,1,3,7,2,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[4,7,1,3,8,2,5,6]=>[[1,2,5,8],[3,4,7],[6]]=>10
[7,4,1,3,8,2,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[1,3,6,4,2,8,5,7]=>[[1,2,3,6,8],[4,7],[5]]=>11
[4,7,3,1,2,8,5,6]=>[[1,2,6,8],[3,5,7],[4]]=>8
[4,7,8,1,2,6,5,3]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[6,8,1,4,2,7,5,3]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[1,8,6,4,2,7,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[4,8,1,3,7,2,5,6]=>[[1,2,5,8],[3,4],[6,7]]=>14
[8,7,1,3,6,2,5,4]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[6,8,5,7,3,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[1,8,4,3,7,2,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[2,8,3,4,7,6,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[3,7,8,4,6,2,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[3,7,4,6,8,2,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[2,4,3,7,8,6,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>18
[1,4,7,3,8,2,5,6]=>[[1,2,3,5],[4,7,8],[6]]=>16
[5,7,6,8,3,2,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[2,5,3,4,8,6,1,7]=>[[1,2,4,5,8],[3,6],[7]]=>12
[3,7,5,4,8,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[7,1,3,4,2,8,5,6]=>[[1,3,4,6,8],[2,7],[5]]=>8
[6,1,4,3,8,2,5,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[4,1,7,3,8,2,5,6]=>[[1,3,5,8],[2,4,7],[6]]=>8
[8,1,4,3,7,2,5,6]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[8,2,3,4,7,6,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[4,2,3,7,8,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>16
[5,2,3,4,8,6,1,7]=>[[1,3,4,5,8],[2,6],[7]]=>10
[2,7,5,6,3,8,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[5,7,2,6,3,8,1,4]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[5,7,2,6,8,4,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[7,2,5,6,8,4,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[4,2,3,8,5,6,1,7]=>[[1,3,4,6,8],[2,5],[7]]=>9
[5,2,3,8,7,6,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[8,2,3,7,5,6,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[6,1,8,3,7,2,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[1,7,8,4,2,6,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[4,7,1,8,2,5,6,3]=>[[1,2,4,7],[3,5,6],[8]]=>15
[3,7,4,8,5,2,1,6]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[2,4,3,8,5,6,1,7]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,4,8,3,6,2,5,7]=>[[1,2,3,8],[4,5],[6,7]]=>16
[7,5,8,6,3,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[6,5,8,7,3,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[8,5,7,6,3,2,1,4]=>[[1,3],[2,8],[4],[5],[6],[7]]=>20
[2,5,3,8,7,6,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[3,7,5,8,6,2,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[3,7,8,6,5,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[1,8,7,3,6,2,5,4]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[6,8,7,5,3,2,1,4]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[5,7,6,8,3,4,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[3,7,6,8,4,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[1,5,4,7,6,8,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>17
[1,7,4,6,5,8,2,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[3,7,4,6,5,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[3,5,4,8,6,7,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>17
[3,8,4,6,5,7,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[3,6,4,7,5,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>17
[1,6,2,7,5,8,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>15
[1,6,4,8,5,7,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>17
[1,8,4,6,5,7,2,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[1,5,4,8,6,7,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>17
[7,8,1,5,4,6,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[7,8,1,5,2,4,3,6]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[1,8,2,6,5,7,3,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[1,7,2,8,5,6,3,4]=>[[1,2,4,6],[3,5],[7,8]]=>17
[1,7,2,6,5,8,3,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[1,5,2,7,6,8,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>15
[1,7,6,8,2,5,3,4]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[1,7,6,8,4,5,2,3]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[5,7,6,8,1,4,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[7,8,5,6,1,3,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[5,8,6,7,1,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[1,3,2,7,6,8,4,5]=>[[1,2,4,6],[3,5,8],[7]]=>15
[1,7,6,8,2,4,3,5]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[7,8,1,3,2,6,4,5]=>[[1,2,6,8],[3,4],[5,7]]=>13
[7,8,1,6,2,4,3,5]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[1,8,6,7,2,4,3,5]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[7,8,1,4,2,6,3,5]=>[[1,2,6,8],[3,4],[5,7]]=>13
[7,8,1,4,2,5,3,6]=>[[1,2,6,8],[3,4],[5,7]]=>13
[7,8,2,1,4,3,6,5]=>[[1,2,7],[3,5,8],[4,6]]=>11
[7,8,1,2,4,3,5,6]=>[[1,2,5,7,8],[3,4],[6]]=>9
[4,3,6,5,8,7,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>15
[3,4,6,5,7,8,1,2]=>[[1,2,3,5,6],[4,8],[7]]=>14
[3,4,1,5,6,7,8,9,2]=>[[1,2,4,5,6,7,8],[3,9]]=>9
[3,4,5,1,6,7,8,9,2]=>[[1,2,3,5,6,7,8],[4,9]]=>10
[3,4,5,6,1,7,8,9,2]=>[[1,2,3,4,6,7,8],[5,9]]=>11
[3,4,5,6,7,1,8,9,2]=>[[1,2,3,4,5,7,8],[6,9]]=>12
[3,4,5,6,7,8,1,9,2]=>[[1,2,3,4,5,6,8],[7,9]]=>13
[3,1,2,5,6,7,8,9,4]=>[[1,3,4,5,6,7,8],[2,9]]=>7
[3,4,5,6,7,8,1,2,9]=>[[1,2,3,4,5,6,9],[7,8]]=>12
[3,4,5,6,7,8,9,1,10,2]=>[[1,2,3,4,5,6,7,9],[8,10]]=>15
[1,6,2,3,8,7,4,5]=>[[1,2,4,5,8],[3,6],[7]]=>12
[1,7,4,3,2,8,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[1,4,7,6,2,5,8,3]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[1,2,6,5,3,7,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[1,2,6,5,3,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>12
[1,3,7,5,2,6,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>12
[1,3,7,4,2,6,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>12
[1,2,6,4,3,7,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>12
[1,2,6,4,3,7,5,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[1,4,7,3,2,5,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>14
[1,4,3,2,5,8,6,7]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,5,3,2,4,8,6,7]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,7,5,3,2,8,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[1,5,3,2,4,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>14
[7,6,5,4,3,1,8,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[6,8,5,4,3,2,1,7]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[8,7,6,5,4,3,1,9,2]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>22
[9,8,7,6,5,4,3,1,10,2]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>29
[7,1,5,4,3,8,6,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[3,6,5,4,8,1,7,2]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[6,8,1,4,3,2,7,5]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[2,8,5,4,3,7,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[7,6,1,4,3,8,5,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[4,6,5,8,3,1,7,2]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[6,8,5,1,3,2,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[1,8,2,4,3,7,6,5]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[3,8,5,4,7,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[1,3,6,5,4,9,8,7,2]=>[[1,2,3,6],[4,7],[5,8],[9]]=>24
[7,6,5,1,3,8,4,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[1,6,3,4,8,7,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[1,4,5,8,3,7,6,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[6,8,5,4,1,2,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[1,8,5,2,3,7,6,4]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[6,8,2,4,3,7,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[1,8,3,4,7,2,6,5]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[7,5,8,4,3,2,1,6]=>[[1,3],[2,8],[4],[5],[6],[7]]=>20
[4,8,5,7,3,2,1,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[5,1,7,6,8,4,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[8,4,7,5,2,6,1,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[5,4,6,8,2,1,7,3]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[8,4,6,5,2,1,7,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[4,8,7,5,6,1,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[2,7,5,1,8,4,3,6]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[5,1,8,7,4,2,3,6]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[2,8,6,7,4,3,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[3,6,5,2,4,1,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[5,2,3,6,4,1,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>11
[6,1,4,5,3,2,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[3,8,7,1,4,6,5,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[5,7,1,2,4,3,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>11
[4,3,7,6,8,2,5,1]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[5,3,6,8,1,7,2,4]=>[[1,3,4],[2,6,8],[5,7]]=>12
[3,2,6,8,5,7,1,4]=>[[1,3,4],[2,5,6],[7,8]]=>17
[6,3,7,2,4,8,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[7,4,8,6,5,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[7,1,8,2,5,4,3,6]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[2,5,3,7,4,1,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>14
[3,6,4,7,5,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>16
[8,4,7,6,2,3,1,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[8,4,7,1,2,5,6,3]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[4,2,8,7,3,5,6,1]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[8,1,7,4,2,5,6,3]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[7,4,3,8,2,5,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[6,4,1,5,8,2,7,3]=>[[1,4,5],[2,6,7],[3,8]]=>11
[2,5,8,7,3,6,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[2,1,5,8,7,4,6,3]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[8,3,5,6,7,4,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[7,4,3,2,8,5,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[4,2,7,1,8,5,6,3]=>[[1,3,5],[2,6,7],[4,8]]=>12
[4,1,7,2,8,5,6,3]=>[[1,3,5,7],[2,4,6],[8]]=>10
[2,4,8,7,3,5,6,1]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[4,7,8,3,1,5,6,2]=>[[1,2,3],[4,6,7],[5,8]]=>18
[3,4,7,2,8,5,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>18
[3,7,1,4,8,5,6,2]=>[[1,2,5,7],[3,4,6],[8]]=>12
[7,2,3,4,8,5,6,1]=>[[1,3,4,5,7],[2,6],[8]]=>11
[6,1,8,5,2,7,4,3]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[2,1,7,4,5,8,6,3]=>[[1,3,5,6],[2,4,7],[8]]=>11
[2,1,8,3,6,7,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[8,2,1,6,4,7,5,3]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[7,8,2,6,4,1,5,3]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[2,6,3,5,8,7,1,4]=>[[1,2,4,5],[3,6],[7,8]]=>18
[7,6,2,1,5,8,4,3]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[4,5,2,7,6,1,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>16
[5,1,6,8,4,7,2,3]=>[[1,3,4],[2,5,6],[7,8]]=>17
[3,6,8,7,5,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[7,4,8,6,5,2,3,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[8,1,6,4,7,3,2,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[7,6,4,1,2,3,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[2,6,4,8,5,3,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[7,3,5,8,4,2,1,6]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[3,2,5,8,4,1,7,6]=>[[1,3,4],[2,5,7],[6,8]]=>16
[8,4,7,1,5,2,3,6]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[4,8,7,5,6,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[6,1,4,8,7,3,5,2]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[7,2,8,4,3,5,6,1]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[4,7,8,1,3,5,6,2]=>[[1,2,3,7],[4,5,6],[8]]=>16
[8,7,3,4,1,5,6,2]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[4,8,2,7,3,5,6,1]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[3,1,8,7,2,5,6,4]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[3,8,1,7,2,5,6,4]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[8,2,3,7,1,5,6,4]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[6,4,8,7,1,3,2,5]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[2,8,4,6,7,3,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[4,3,8,2,7,6,1,5]=>[[1,3],[2,5],[4,6],[7,8]]=>19
[6,8,4,2,1,3,7,5]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[7,8,2,4,3,5,6,1]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[2,8,3,7,1,5,6,4]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[8,1,2,7,3,5,6,4]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[6,4,1,3,2,8,5,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[5,3,8,6,2,1,4,7]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[4,6,5,2,8,3,1,7]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[4,3,7,5,1,8,2,6]=>[[1,3,6],[2,4,8],[5,7]]=>12
[6,8,5,2,7,4,3,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[7,2,5,4,3,8,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[3,6,8,1,4,5,2,7]=>[[1,2,3,8],[4,5,6],[7]]=>15
[6,8,1,2,4,5,3,7]=>[[1,2,5,6,8],[3,4],[7]]=>10
[8,1,6,2,4,5,3,7]=>[[1,3,5,6,8],[2],[4],[7]]=>10
[3,8,6,1,2,5,4,7]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[5,8,1,6,2,3,4,7]=>[[1,2,6,7,8],[3,4],[5]]=>8
[4,1,6,5,8,2,3,7]=>[[1,3,5,8],[2,4,7],[6]]=>8
[4,3,8,6,2,5,1,7]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[8,3,6,1,4,5,2,7]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[2,3,6,8,4,5,1,7]=>[[1,2,3,4,8],[5,6],[7]]=>14
[2,7,5,4,3,8,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[6,3,8,7,4,2,5,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[5,8,4,3,7,6,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>22
[8,7,4,3,1,6,2,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[1,7,4,3,8,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[7,1,5,3,4,8,2,6]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[2,8,6,1,7,4,5,3]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[4,8,6,5,7,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[4,7,6,8,2,1,5,3]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[6,1,8,7,4,3,5,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[8,5,4,3,1,6,7,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[1,5,8,6,3,4,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[2,5,8,6,3,4,7,1]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[4,1,3,8,5,6,7,2]=>[[1,3,4,6,7],[2,5],[8]]=>10
[6,5,8,4,3,1,7,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[4,6,5,2,8,1,7,3]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[7,2,8,1,3,6,4,5]=>[[1,3,6,8],[2,5],[4,7]]=>8
[1,8,5,2,3,6,7,4]=>[[1,2,5,6,7],[3,8],[4]]=>10
[1,8,3,2,5,6,7,4]=>[[1,2,5,6,7],[3,8],[4]]=>10
[2,8,3,1,5,6,7,4]=>[[1,2,5,6,7],[3,8],[4]]=>10
[4,8,3,2,5,6,7,1]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[8,2,3,1,5,6,7,4]=>[[1,3,5,6,7],[2,8],[4]]=>8
[2,1,8,3,5,6,7,4]=>[[1,3,5,6,7],[2,4],[8]]=>9
[1,4,8,2,3,6,7,5]=>[[1,2,3,6,7],[4,5],[8]]=>13
[3,1,2,7,8,6,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>13
[7,5,1,8,2,4,3,6]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[3,5,8,1,2,4,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>16
[4,5,8,1,2,3,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>16
[4,2,7,1,8,6,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>11
[3,8,4,1,2,6,7,5]=>[[1,2,6,7],[3,5,8],[4]]=>9
[5,4,8,2,3,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[5,8,3,6,7,4,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[2,3,1,6,8,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>17
[2,4,3,7,1,8,5,6]=>[[1,2,4,6],[3,7,8],[5]]=>14
[1,4,7,3,2,8,5,6]=>[[1,2,3,6],[4,7,8],[5]]=>15
[2,7,1,4,3,8,5,6]=>[[1,2,6,8],[3,4,7],[5]]=>9
[2,4,1,8,6,3,7,5]=>[[1,2,4,7],[3,5,8],[6]]=>14
[8,4,1,3,6,2,7,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[6,8,5,1,7,2,3,4]=>[[1,2,7,8],[3,5],[4,6]]=>10
[7,3,6,5,8,2,1,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[7,6,3,5,8,2,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[4,5,8,7,3,6,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[3,5,2,8,6,1,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>16
[8,2,5,6,1,4,7,3]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[8,6,5,4,1,2,7,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[2,6,1,8,3,7,5,4]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[4,7,1,6,2,8,5,3]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[6,1,5,3,8,7,2,4]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[2,8,6,3,7,1,5,4]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[7,6,1,5,8,2,3,4]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[3,6,8,5,1,2,7,4]=>[[1,2,3],[4,6,7],[5,8]]=>18
[6,5,2,4,8,1,7,3]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[5,1,4,8,2,6,7,3]=>[[1,3,4,7],[2,6],[5,8]]=>11
[4,8,2,5,1,6,7,3]=>[[1,2,6,7],[3,4],[5,8]]=>14
[3,4,8,5,2,6,7,1]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[4,2,1,8,5,6,7,3]=>[[1,4,6,7],[2,5],[3,8]]=>8
[1,5,4,8,2,6,7,3]=>[[1,2,4,7],[3,6],[5,8]]=>14
[7,2,1,5,8,6,3,4]=>[[1,4,5],[2,6,8],[3,7]]=>10
[2,8,4,5,1,6,7,3]=>[[1,2,4,6,7],[3,8],[5]]=>11
[5,4,8,3,7,6,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>19
[3,1,5,8,6,2,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>11
[6,3,4,8,5,1,7,2]=>[[1,3,4,7],[2,5],[6,8]]=>14
[5,3,4,8,1,6,7,2]=>[[1,3,4,7],[2,6],[5,8]]=>11
[7,6,1,2,8,3,5,4]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[7,5,8,4,1,2,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[7,5,8,4,6,1,3,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[6,5,4,8,7,1,3,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[6,5,4,8,1,2,7,3]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[7,5,1,6,2,3,8,4]=>[[1,4,6,7],[2,5,8],[3]]=>6
[7,5,1,6,8,2,4,3]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[6,5,4,1,8,2,7,3]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[6,5,4,7,1,2,8,3]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[6,5,4,7,8,1,3,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[6,5,3,7,1,4,2,8]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[6,5,3,1,8,4,2,7]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[7,5,1,4,8,3,2,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[8,1,6,4,7,3,5,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[7,5,1,4,8,3,6,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[6,5,3,7,1,4,8,2]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[6,4,3,1,5,8,7,2]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[7,4,1,5,3,8,6,2]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[8,1,5,4,3,7,6,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[8,1,5,4,3,7,2,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[7,4,1,5,3,8,2,6]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[7,4,1,5,3,2,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[8,1,5,4,3,2,6,7]=>[[1,3,7,8],[2],[4],[5],[6]]=>13
[8,1,6,4,2,5,3,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[6,5,3,1,2,7,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[6,5,3,8,1,4,2,7]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[7,6,8,1,4,3,2,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[8,1,7,2,5,4,3,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>15
[8,1,7,2,5,4,6,3]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[7,6,1,2,5,4,8,3]=>[[1,4,5,7],[2],[3],[6],[8]]=>15
[6,5,3,8,1,4,7,2]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[6,5,3,1,2,7,8,4]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[7,5,1,4,2,6,8,3]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[8,1,6,4,2,5,7,3]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[7,4,1,5,3,2,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[6,4,3,1,5,2,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[6,4,3,1,5,7,2,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[7,4,1,5,3,6,2,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[8,1,5,4,3,6,2,7]=>[[1,3,6,8],[2],[4],[5],[7]]=>14
[8,1,5,4,3,6,7,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>15
[7,4,1,5,3,6,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[6,4,3,1,5,7,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[6,7,3,8,4,5,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>20
[6,7,4,5,1,8,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>14
[4,7,5,6,2,3,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[4,7,5,6,1,8,2,3]=>[[1,2,4,6],[3,7,8],[5]]=>14
[4,7,5,6,3,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[3,7,5,8,4,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[4,5,3,8,6,7,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>17
[4,8,3,6,5,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[5,6,4,7,1,8,2,3]=>[[1,2,4,6],[3,7,8],[5]]=>14
[5,6,1,7,3,8,2,4]=>[[1,2,4,6],[3,5,8],[7]]=>15
[5,6,1,8,2,7,3,4]=>[[1,2,4,8],[3,5,6],[7]]=>14
[5,6,1,8,4,7,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>20
[4,8,1,6,5,7,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[4,5,1,8,6,7,2,3]=>[[1,2,4,6],[3,5,8],[7]]=>15
[7,8,4,5,1,6,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>14
[4,8,2,3,1,6,5,7]=>[[1,2,6,8],[3,4],[5,7]]=>13
[5,6,2,8,1,4,3,7]=>[[1,2,4],[3,6,8],[5,7]]=>16
[5,6,3,4,1,8,2,7]=>[[1,2,6],[3,4,8],[5,7]]=>14
[3,6,4,5,2,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>12
[3,6,4,5,1,8,2,7]=>[[1,2,4,6],[3,7,8],[5]]=>14
[2,6,4,8,1,5,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>13
[2,8,3,6,1,5,4,7]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[2,8,3,4,1,6,5,7]=>[[1,2,4,6,8],[3,7],[5]]=>10
[7,8,2,5,3,4,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[7,8,1,5,3,6,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[1,5,3,8,6,7,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>17
[1,8,3,6,2,7,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>14
[1,6,4,8,2,7,3,5]=>[[1,2,4,8],[3,6],[5,7]]=>13
[2,6,4,7,3,5,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[2,7,3,6,4,5,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>12
[1,7,3,6,4,8,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[1,7,2,8,4,6,3,5]=>[[1,2,4,6],[3,5],[7,8]]=>17
[1,7,5,8,4,6,2,3]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[1,7,5,8,2,6,3,4]=>[[1,2,4,8],[3,6],[5,7]]=>13
[1,7,5,6,3,8,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[2,7,5,6,3,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[6,7,2,5,3,4,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[6,7,1,5,3,8,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[6,7,5,8,1,4,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[5,8,6,7,2,3,1,4]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[6,7,2,3,1,8,4,5]=>[[1,2,6,8],[3,4,7],[5]]=>9
[6,7,2,8,1,4,3,5]=>[[1,2,4],[3,6,8],[5,7]]=>16
[3,4,2,7,5,6,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[3,4,1,7,5,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>15
[2,7,5,8,1,4,3,6]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[2,3,1,7,5,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>15
[2,3,1,8,4,7,5,6]=>[[1,2,4,6,8],[3,5],[7]]=>11
[7,8,2,3,1,6,4,5]=>[[1,2,6,8],[3,4],[5,7]]=>13
[7,8,2,6,1,4,3,5]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[2,8,6,7,1,4,3,5]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[2,8,1,4,3,7,5,6]=>[[1,2,6,8],[3,4,7],[5]]=>9
[3,7,2,5,4,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[4,5,2,7,3,6,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>14
[4,5,1,8,2,7,3,6]=>[[1,2,4,8],[3,5,6],[7]]=>14
[3,4,1,8,2,7,5,6]=>[[1,2,4,8],[3,5,6],[7]]=>14
[3,4,1,8,6,7,2,5]=>[[1,2,4,6],[3,5,8],[7]]=>15
[3,4,2,5,1,8,6,7]=>[[1,2,4,6,8],[3,7],[5]]=>10
[3,4,2,8,1,6,5,7]=>[[1,2,4,8],[3,6],[5,7]]=>13
[3,8,2,5,1,6,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>13
[4,5,2,8,1,6,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>13
[4,5,3,6,1,8,2,7]=>[[1,2,4,6],[3,7,8],[5]]=>14
[8,6,7,1,4,2,5,3]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[8,6,3,7,5,1,2,4]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[7,6,1,8,3,5,2,4]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[7,6,2,8,3,5,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[7,6,2,3,8,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[8,6,2,7,3,1,5,4]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[8,7,2,5,1,6,3,4]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[8,4,2,1,7,6,3,5]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[8,5,7,2,1,4,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[5,8,7,3,1,4,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[5,8,7,3,1,4,6,2]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[8,5,7,2,1,4,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[8,4,2,1,3,7,6,5]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[8,4,3,1,7,2,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[8,5,1,3,2,7,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[5,2,8,6,4,1,3,7]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[8,4,7,5,1,6,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[8,4,7,5,1,2,3,6]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[8,7,3,5,1,2,6,4]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[8,3,2,6,5,1,4,7]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[4,8,6,3,5,1,2,7]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[4,8,7,3,1,5,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[8,4,7,2,1,5,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[8,3,2,7,1,5,4,6]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[8,7,3,1,4,2,6,5]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[8,7,3,1,2,6,4,5]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[8,7,3,1,2,4,6,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[8,3,2,1,4,7,6,5]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[8,3,2,1,7,4,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[8,3,2,7,1,5,6,4]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[8,4,7,2,1,5,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[8,7,2,1,6,3,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[3,6,5,4,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[3,8,5,6,7,4,1,2]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[4,7,5,8,6,2,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[2,5,7,8,6,3,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[4,8,5,7,6,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[4,6,3,2,1,5,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[6,2,1,5,3,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>6
[5,8,1,3,7,6,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[4,7,2,3,6,1,8,5]=>[[1,2,5,7],[3,4],[6,8]]=>15
[3,7,4,2,8,1,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[4,2,6,8,5,7,3,1]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[6,4,2,7,3,8,5,1]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[8,1,6,7,5,3,4,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[2,1,5,8,7,6,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[2,1,4,7,6,3,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>11
[6,4,7,8,5,3,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[4,1,3,7,6,2,8,5]=>[[1,3,4,7],[2,5],[6,8]]=>14
[8,5,1,6,3,2,7,4]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[6,3,7,1,5,2,8,4]=>[[1,3,7],[2,5,8],[4,6]]=>8
[3,2,6,8,4,7,5,1]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[8,4,6,1,3,2,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[4,2,8,6,7,3,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[7,4,3,8,2,1,5,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[4,7,5,8,1,6,3,2]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[6,4,3,2,7,8,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[4,2,5,1,6,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>8
[2,4,8,5,7,1,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>16
[3,7,1,4,6,8,5,2]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[7,8,2,5,6,1,4,3]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[2,4,3,8,7,5,6,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[2,6,7,3,5,1,8,4]=>[[1,2,3,7],[4,5],[6,8]]=>17
[7,6,8,4,2,5,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>18
[8,5,7,1,6,3,2,4]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[6,5,7,2,8,4,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[3,4,8,6,5,2,1,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[2,7,6,1,4,5,8,3]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[6,5,8,2,1,7,3,4]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[7,4,3,5,1,6,8,2]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[4,1,6,3,5,8,7,2]=>[[1,3,5,6],[2,4,7],[8]]=>11
[6,2,5,8,4,3,7,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[8,6,7,1,5,4,3,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>23
[2,1,6,5,8,4,7,3]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[2,1,6,8,5,4,3,7]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[4,1,8,5,6,2,3,7]=>[[1,3,5,8],[2,4,7],[6]]=>8
[2,6,4,8,7,3,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[6,2,8,4,3,5,1,7]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[4,8,2,7,6,1,3,5]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[3,1,8,2,7,5,4,6]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[3,8,1,2,6,7,4,5]=>[[1,2,5,6],[3,4,8],[7]]=>12
[5,8,4,3,2,7,1,6]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[7,4,8,6,3,2,5,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[5,8,4,7,2,1,3,6]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[2,1,8,4,3,7,5,6]=>[[1,3,6,8],[2,4,7],[5]]=>7
[6,3,8,2,4,5,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[5,8,4,2,3,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[5,8,2,4,3,1,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[2,8,3,1,6,4,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>8
[8,2,1,3,4,7,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>6
[1,4,8,2,6,3,5,7]=>[[1,2,3,7,8],[4,5],[6]]=>11
[1,2,7,3,5,4,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>13
[1,2,3,8,4,5,7,6]=>[[1,2,3,4,6,7],[5],[8]]=>11
[1,2,8,3,4,5,7,6]=>[[1,2,3,5,6,7],[4],[8]]=>10
[1,3,8,2,6,4,5,7]=>[[1,2,3,7,8],[4,5],[6]]=>11
[1,5,7,2,3,6,4,8]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,7,2,3,5,4,8,6]=>[[1,2,4,5,7],[3,8],[6]]=>12
[1,3,8,2,4,5,7,6]=>[[1,2,3,6,7],[4,5],[8]]=>13
[1,2,3,8,4,6,7,5]=>[[1,2,3,4,6,7],[5],[8]]=>11
[1,8,2,3,5,4,6,7]=>[[1,2,4,5,7,8],[3],[6]]=>7
[1,7,8,2,3,6,4,5]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,6,7,8,2,3,5,4]=>[[1,2,3,4],[5,6,7],[8]]=>19
[1,7,8,2,5,3,6,4]=>[[1,2,3,7],[4,5],[6,8]]=>17
[1,7,8,2,4,5,3,6]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,2,8,3,6,4,5,7]=>[[1,2,3,5,7,8],[4],[6]]=>8
[1,8,2,3,6,4,5,7]=>[[1,2,4,5,7,8],[3],[6]]=>7
[1,2,8,3,5,4,6,7]=>[[1,2,3,5,7,8],[4],[6]]=>8
[1,2,7,8,3,6,4,5]=>[[1,2,3,4,8],[5,6],[7]]=>14
[1,5,2,7,8,3,6,4]=>[[1,2,4,5],[3,6,7],[8]]=>17
[1,3,2,8,4,6,7,5]=>[[1,2,4,6,7],[3,5],[8]]=>12
[1,8,2,3,4,6,7,5]=>[[1,2,4,5,6,7],[3],[8]]=>9
[1,7,8,2,4,3,6,5]=>[[1,2,3,7],[4,5],[6,8]]=>17
[6,7,3,1,5,2,8,4]=>[[1,2,7],[3,5,8],[4,6]]=>11
[6,8,3,1,5,2,7,4]=>[[1,2,7],[3,5,8],[4,6]]=>11
[6,7,4,5,1,2,8,3]=>[[1,2,7],[3,4,8],[5,6]]=>13
[7,3,6,1,5,2,4,8]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[6,7,5,4,1,2,8,3]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[5,8,6,4,1,7,2,3]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[5,7,6,4,1,8,2,3]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[6,4,7,5,1,2,8,3]=>[[1,3,7],[2,4,8],[5,6]]=>11
[6,2,1,7,5,3,8,4]=>[[1,4,7],[2,5,8],[3,6]]=>7
[6,3,8,1,5,2,7,4]=>[[1,3,7],[2,5,8],[4,6]]=>8
[5,6,8,4,1,7,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>17
[4,6,8,5,7,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>19
[4,5,8,6,7,1,2,3]=>[[1,2,3,5],[4,7,8],[6]]=>16
[5,4,8,6,1,7,2,3]=>[[1,3,6],[2,4,8],[5,7]]=>12
[5,3,8,1,6,7,2,4]=>[[1,3,6],[2,5,8],[4,7]]=>9
[5,2,1,7,6,8,3,4]=>[[1,4,6],[2,5,8],[3,7]]=>8
[5,4,7,6,1,8,2,3]=>[[1,3,6],[2,4,8],[5,7]]=>12
[4,8,6,5,7,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[4,7,5,6,8,1,2,3]=>[[1,2,4,5],[3,7,8],[6]]=>15
[4,6,5,7,8,1,2,3]=>[[1,2,4,5],[3,7,8],[6]]=>15
[5,7,4,6,1,8,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>14
[5,8,4,6,1,7,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>14
[5,8,3,1,6,7,2,4]=>[[1,2,6],[3,5,8],[4,7]]=>12
[5,7,3,1,6,8,2,4]=>[[1,2,6],[3,5,8],[4,7]]=>12
[5,6,3,1,7,8,2,4]=>[[1,2,5,6],[3,7,8],[4]]=>13
[5,8,3,1,7,6,2,4]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[5,7,4,8,1,6,2,3]=>[[1,2,4],[3,6,8],[5,7]]=>16
[5,4,6,8,1,7,2,3]=>[[1,3,4],[2,6,8],[5,7]]=>12
[4,8,6,7,5,1,2,3]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[5,2,1,7,8,6,3,4]=>[[1,4,5],[2,6,8],[3,7]]=>10
[5,3,8,1,7,6,2,4]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[5,4,8,7,1,6,2,3]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[4,6,8,7,5,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[4,7,8,6,5,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[4,8,7,6,5,1,2,3]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[2,5,4,7,3,6,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[2,4,6,3,7,5,1,8]=>[[1,2,3,5,8],[4,6],[7]]=>13
[4,2,7,3,6,5,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[4,2,6,3,1,5,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>8
[2,5,3,1,6,4,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>12
[2,5,3,7,6,4,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[2,6,5,3,7,4,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[4,2,7,6,3,5,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[2,7,5,3,6,4,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[2,6,3,7,5,4,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[1,7,5,2,3,8,4,6]=>[[1,2,5,6,8],[3,7],[4]]=>9
[2,1,3,7,5,4,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>11
[2,3,1,8,6,5,4,7]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[2,5,3,1,8,6,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>12
[4,2,8,3,1,6,5,7]=>[[1,3,6,8],[2,4],[5,7]]=>11
[8,3,2,6,4,1,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[3,6,8,2,1,4,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>13
[1,5,2,8,3,4,7,6]=>[[1,2,4,6,7],[3,5],[8]]=>12
[1,2,6,3,8,7,4,5]=>[[1,2,3,5,8],[4,6],[7]]=>13
[1,2,8,3,6,4,7,5]=>[[1,2,3,5,7],[4,8],[6]]=>13
[1,2,7,6,3,4,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>12
[2,1,3,8,7,5,4,6]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[1,2,3,8,6,4,7,5]=>[[1,2,3,4,7],[5,8],[6]]=>14
[1,2,3,7,4,8,6,5]=>[[1,2,3,4,6],[5,7],[8]]=>16
[1,2,7,6,3,8,4,5]=>[[1,2,3,6,8],[4,7],[5]]=>11
[1,2,3,6,4,8,7,5]=>[[1,2,3,4,6],[5,7],[8]]=>16
[1,2,3,7,6,4,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>14
[2,6,3,1,8,5,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>12
[2,1,3,8,5,4,7,6]=>[[1,3,4,7],[2,5,8],[6]]=>11
[7,1,8,4,2,3,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>6
[2,1,8,4,3,5,7,6]=>[[1,3,6,7],[2,4,8],[5]]=>8
[4,2,6,3,1,8,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>7
[5,4,2,8,3,1,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[3,5,8,2,4,1,6,7]=>[[1,2,3,8],[4,5,7],[6]]=>14
[2,5,4,8,3,1,6,7]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[4,2,1,8,3,5,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>8
[1,8,7,4,2,3,5,6]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[1,5,2,8,7,3,4,6]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,2,7,3,6,4,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>13
[1,2,8,6,3,7,4,5]=>[[1,2,3,6,8],[4,7],[5]]=>11
[1,2,7,3,8,6,4,5]=>[[1,2,3,5,8],[4,6],[7]]=>13
[1,2,3,8,4,7,6,5]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[1,2,7,3,4,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>15
[1,2,6,3,8,4,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>14
[1,5,2,3,8,7,4,6]=>[[1,2,4,5,8],[3,6],[7]]=>12
[4,2,1,8,3,7,5,6]=>[[1,4,6,8],[2,5],[3,7]]=>7
[8,3,2,1,7,4,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[1,8,4,2,7,3,5,6]=>[[1,2,5,7,8],[3,6],[4]]=>8
[1,2,8,6,3,4,7,5]=>[[1,2,3,6,7],[4,8],[5]]=>12
[1,2,7,3,8,4,6,5]=>[[1,2,3,5,7],[4,6],[8]]=>14
[1,2,3,8,7,4,6,5]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[1,2,3,8,7,6,4,5]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[2,5,3,8,1,6,4,7]=>[[1,2,4,8],[3,6],[5,7]]=>13
[2,6,4,7,1,5,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>13
[2,6,5,7,1,4,3,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[3,8,5,7,1,2,6,4]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[3,8,5,7,2,6,4,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[3,4,8,6,2,5,7,1]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[3,4,8,6,1,2,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>13
[2,5,7,1,4,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>17
[2,4,8,1,5,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[2,4,3,8,1,6,5,7]=>[[1,2,4,8],[3,6],[5,7]]=>13
[2,8,1,7,5,6,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[2,3,8,1,6,5,7,4]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[2,4,8,1,3,5,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>16
[3,5,7,6,1,2,4,8]=>[[1,2,3,8],[4,6,7],[5]]=>13
[3,5,7,6,2,4,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[4,8,6,7,2,3,5,1]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[4,8,6,7,1,2,3,5]=>[[1,2,4,8],[3,6,7],[5]]=>12
[4,8,6,7,1,3,5,2]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[3,4,8,6,1,5,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[3,8,5,7,1,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[3,2,8,5,6,1,7,4]=>[[1,3,5,7],[2,4],[6,8]]=>13
[3,8,5,7,2,1,6,4]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[3,4,8,6,2,1,5,7]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[3,5,7,6,2,1,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[4,8,6,7,2,1,3,5]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[4,8,6,7,3,5,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[5,8,6,7,3,4,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[5,8,6,7,2,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[5,8,6,7,2,1,4,3]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[4,8,6,7,2,1,5,3]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[4,3,1,7,5,2,8,6]=>[[1,4,7],[2,5,8],[3,6]]=>7
[4,3,2,8,5,1,7,6]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[4,3,8,5,1,6,7,2]=>[[1,3,6,7],[2,4],[5,8]]=>12
[4,8,6,7,1,5,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[5,8,6,7,1,4,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[5,8,6,7,2,3,4,1]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[5,8,6,7,2,4,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[5,8,6,7,1,2,4,3]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[4,2,3,8,5,1,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>8
[4,2,8,5,1,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[3,4,2,8,5,6,1,7]=>[[1,2,4,6,8],[3,5],[7]]=>11
[3,2,4,8,6,1,5,7]=>[[1,3,4,8],[2,5],[6,7]]=>13
[3,2,5,7,6,1,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>13
[4,8,6,7,1,3,2,5]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[4,8,6,7,1,2,5,3]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[4,8,6,7,2,5,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[4,3,8,5,2,6,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[4,3,8,5,1,2,6,7]=>[[1,3,7,8],[2,4],[5,6]]=>10
[4,2,6,7,5,1,3,8]=>[[1,3,4,8],[2,5],[6,7]]=>13
[3,8,5,7,1,4,2,6]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[3,8,4,7,1,5,2,6]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[3,5,2,8,4,6,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>14
[3,5,1,7,4,6,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>14
[3,8,4,7,2,5,1,6]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[4,1,3,8,5,2,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>8
[4,1,2,6,7,5,3,8]=>[[1,3,4,5,8],[2,6],[7]]=>10
[4,2,6,7,5,3,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[4,8,6,7,3,2,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[4,8,6,7,3,1,2,5]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[3,1,5,7,6,2,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>10
[3,4,1,7,5,6,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[4,1,7,5,2,8,6,3]=>[[1,3,6],[2,4,7],[5,8]]=>13
[4,1,6,7,5,2,3,8]=>[[1,3,4,8],[2,5,7],[6]]=>10
[4,8,6,7,2,3,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[5,8,6,7,3,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[5,8,6,7,4,2,3,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[5,8,6,7,4,1,2,3]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[5,8,6,7,4,1,3,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[5,8,6,7,3,1,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[4,8,6,7,3,1,5,2]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[4,1,6,7,5,3,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[4,1,7,5,3,2,8,6]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[4,2,8,5,3,1,7,6]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[4,2,1,6,7,5,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>8
[4,8,6,7,3,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[5,8,6,7,4,2,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[5,8,6,7,4,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[7,3,5,8,1,4,2,6]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[3,8,7,6,1,4,2,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[5,1,8,3,6,7,2,4]=>[[1,3,5,6],[2,4],[7,8]]=>14
[1,4,7,8,5,6,2,3]=>[[1,2,3,4],[5,6],[7,8]]=>20
[3,4,7,1,5,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>17
[3,6,1,4,7,8,5,2]=>[[1,2,5,6],[3,4,7],[8]]=>13
[1,6,8,4,7,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[6,8,1,3,5,7,2,4]=>[[1,2,5,6],[3,4],[7,8]]=>16
[7,6,1,4,3,8,2,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[3,8,1,6,5,4,2,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[4,1,3,7,5,8,2,6]=>[[1,3,4,6],[2,5,8],[7]]=>12
[6,1,7,3,8,4,2,5]=>[[1,3,5,8],[2,4,6],[7]]=>9
[7,1,8,6,3,5,2,4]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[3,1,7,6,5,8,4,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[8,2,7,6,5,3,4,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>20
[8,4,2,6,7,5,3,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[4,8,1,6,7,5,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[7,4,1,6,8,2,5,3]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[1,3,8,6,2,7,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[6,1,3,2,7,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>10
[1,8,6,2,5,3,4,7]=>[[1,2,5,7,8],[3],[4],[6]]=>10
[4,7,2,6,8,1,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[8,7,3,6,4,5,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>20
[5,7,8,6,2,1,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[2,7,4,1,6,8,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>13
[3,7,2,4,5,1,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>9
[1,8,6,4,5,2,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[2,8,4,6,5,1,3,7]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[3,4,1,7,5,2,6,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[7,5,8,6,1,2,4,3]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[5,6,8,7,3,1,4,2]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[2,5,4,3,6,8,1,7]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[3,8,5,4,6,2,1,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>16
[4,8,2,1,3,7,5,6]=>[[1,2,6,8],[3,5],[4,7]]=>11
[6,4,1,2,7,5,8,3]=>[[1,4,5,7],[2,6],[3,8]]=>9
[4,1,8,3,6,7,5,2]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[8,3,7,4,5,2,6,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[4,3,7,8,5,1,6,2]=>[[1,3,4],[2,5,7],[6,8]]=>16
[5,4,8,2,7,6,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>19
[1,2,7,3,6,5,8,4]=>[[1,2,3,5,7],[4],[6],[8]]=>15
[2,8,7,6,3,4,1,5]=>[[1,2,6,8],[3],[4],[5],[7]]=>15
[5,8,2,6,3,4,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[4,1,7,5,8,6,2,3]=>[[1,3,5],[2,4,6],[7,8]]=>15
[5,1,7,8,4,3,6,2]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[8,2,7,5,4,3,6,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>20
[6,3,8,1,4,7,5,2]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[3,8,4,5,6,1,2,7]=>[[1,2,4,5,8],[3,7],[6]]=>11
[1,4,3,5,7,8,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>13
[6,5,8,7,1,3,4,2]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[3,6,7,2,4,8,1,5]=>[[1,2,3,6],[4,5,8],[7]]=>16
[1,5,2,7,4,3,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>14
[2,8,5,6,4,3,1,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[1,8,6,5,4,3,2,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>20
[6,1,5,2,8,4,7,3]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[4,6,1,8,5,7,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>20
[4,7,1,2,8,5,6,3]=>[[1,2,5,7],[3,4,6],[8]]=>12
[1,4,7,2,8,5,6,3]=>[[1,2,3,5],[4,6,7],[8]]=>18
[1,7,3,5,8,6,2,4]=>[[1,2,4,5],[3,6],[7,8]]=>18
[7,3,5,8,6,1,2,4]=>[[1,3,4],[2,5,8],[6,7]]=>15
[3,6,8,1,5,7,2,4]=>[[1,2,3],[4,5,6],[7,8]]=>21
[3,4,6,5,8,1,7,2]=>[[1,2,3,5],[4,7],[6,8]]=>17
[6,8,1,5,7,2,3,4]=>[[1,2,5,8],[3,4],[6,7]]=>14
[7,1,2,5,8,6,3,4]=>[[1,3,4,5],[2,6],[7,8]]=>16
[1,7,2,5,8,6,3,4]=>[[1,2,4,5],[3,6],[7,8]]=>18
[1,7,6,8,2,3,5,4]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[7,6,8,1,2,3,5,4]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[2,7,1,5,8,6,3,4]=>[[1,2,5],[3,4,6],[7,8]]=>17
[2,4,7,1,8,5,6,3]=>[[1,2,3,5],[4,6,7],[8]]=>18
[4,7,5,8,3,1,6,2]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[4,7,2,1,8,5,6,3]=>[[1,2,5],[3,6,7],[4,8]]=>16
[7,6,8,2,1,3,5,4]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[1,2,7,6,8,3,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[3,7,6,8,2,1,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[7,4,2,1,6,8,5,3]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[6,7,4,1,8,5,3,2]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[6,7,4,3,1,8,5,2]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[2,7,4,1,6,8,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[2,3,7,6,8,1,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[7,4,2,6,8,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[7,3,2,5,8,6,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[3,1,7,6,8,2,5,4]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[3,7,6,8,1,2,5,4]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[1,3,7,6,8,2,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[1,7,4,2,6,8,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[7,4,1,2,6,8,5,3]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[7,1,4,2,8,5,6,3]=>[[1,3,5,7],[2,6],[4,8]]=>10
[7,1,8,2,5,4,6,3]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[7,3,8,4,6,1,5,2]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[7,2,8,1,6,4,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[7,1,6,8,5,4,2,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[7,1,2,6,8,5,4,3]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[1,7,2,6,8,5,4,3]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[1,7,6,8,3,2,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[7,6,8,3,1,2,5,4]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[7,1,5,8,6,3,2,4]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[7,2,5,8,6,3,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[3,6,7,1,8,5,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[7,2,6,8,5,4,1,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[7,6,8,2,3,1,5,4]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[2,7,6,8,3,1,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[2,7,1,6,8,5,4,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[6,7,3,1,8,5,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[6,7,1,8,5,4,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[7,2,1,6,8,5,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[7,6,8,3,2,1,5,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[4,7,8,5,6,1,3,2]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[4,6,5,8,7,1,3,2]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[5,6,4,8,1,2,7,3]=>[[1,2,4],[3,6,7],[5,8]]=>17
[8,1,5,6,7,2,4,3]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[6,4,5,1,8,2,7,3]=>[[1,3,5],[2,6,7],[4,8]]=>12
[5,4,6,7,1,2,8,3]=>[[1,3,4,7],[2,6,8],[5]]=>10
[4,3,6,7,2,1,5,8]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[5,3,6,7,1,4,2,8]=>[[1,3,4,8],[2,6],[5,7]]=>10
[8,1,4,6,7,3,2,5]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[8,1,3,6,7,4,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[7,2,1,6,8,4,5,3]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[5,2,6,7,1,4,8,3]=>[[1,3,4,7],[2,6],[5,8]]=>11
[4,2,6,7,3,1,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>11
[6,2,4,1,5,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>11
[7,2,1,5,4,8,6,3]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[8,1,4,5,3,7,2,6]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[7,3,1,5,4,8,2,6]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[6,3,4,1,5,8,2,7]=>[[1,3,5,6],[2,7,8],[4]]=>10
[5,3,4,2,1,8,6,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[4,3,5,2,7,1,6,8]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[5,6,3,8,1,4,2,7]=>[[1,2,4],[3,6,8],[5,7]]=>16
[8,1,7,2,4,5,6,3]=>[[1,3,5,6,7],[2],[4],[8]]=>11
[7,6,1,2,4,5,8,3]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[4,7,8,2,3,1,6,5]=>[[1,2,3],[4,5,7],[6,8]]=>20
[5,6,2,8,1,4,7,3]=>[[1,2,4],[3,6,7],[5,8]]=>17
[6,5,2,1,3,7,8,4]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[7,5,1,3,2,6,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[8,1,6,3,2,5,7,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[7,4,1,3,5,2,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[5,4,2,3,1,6,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[7,3,1,4,5,6,2,8]=>[[1,4,5,6,8],[2,7],[3]]=>6
[8,1,4,3,5,6,2,7]=>[[1,3,5,6,8],[2],[4],[7]]=>10
[6,2,3,1,5,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>8
[7,8,4,2,1,6,5,3]=>[[1,2],[3,6],[4,7],[5,8]]=>18
[7,8,4,2,1,5,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[6,2,3,4,8,7,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>16
[6,2,3,4,7,8,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>11
[7,8,3,4,6,2,1,5]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[7,8,3,6,4,2,1,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[7,8,3,5,6,2,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[6,2,3,8,7,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[6,2,3,7,8,5,1,4]=>[[1,3,4,5],[2,6],[7,8]]=>16
[5,2,6,3,8,1,7,4]=>[[1,3,5],[2,4,7],[6,8]]=>14
[6,3,2,5,8,7,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[6,3,2,8,4,7,1,5]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[6,4,3,8,7,5,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>18
[6,4,3,7,8,5,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[6,2,4,1,7,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>8
[6,3,2,7,4,8,1,5]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[6,3,2,5,7,8,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[5,7,2,3,6,1,8,4]=>[[1,2,5,7],[3,4],[6,8]]=>15
[5,8,2,3,6,1,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>15
[4,7,5,8,3,2,1,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[4,5,6,8,3,2,1,7]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[4,6,8,5,3,2,1,7]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[5,6,1,4,2,3,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>8
[5,6,8,4,3,7,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[5,6,1,4,2,3,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>10
[5,2,8,3,4,1,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>13
[4,5,8,6,3,2,1,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[4,6,5,8,3,2,1,7]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[4,7,5,6,3,2,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[6,2,3,4,5,8,1,7]=>[[1,3,4,5,6],[2,8],[7]]=>11
[5,1,4,3,6,2,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[5,1,4,3,7,2,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[5,1,4,3,8,2,7,6]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[5,6,2,4,1,7,8,3]=>[[1,2,6,7],[3,4],[5,8]]=>14
[5,6,2,4,1,8,7,3]=>[[1,2,6],[3,4,7],[5,8]]=>15
[5,7,2,4,1,8,6,3]=>[[1,2,6],[3,4,7],[5,8]]=>15
[6,1,4,2,8,7,5,3]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[6,1,4,2,7,8,5,3]=>[[1,3,5,6],[2,7],[4,8]]=>11
[5,8,2,4,1,7,6,3]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[5,2,7,4,1,6,8,3]=>[[1,3,6,7],[2,4],[5,8]]=>12
[5,4,1,3,7,2,6,8]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[5,1,4,3,6,2,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>9
[5,8,6,4,3,7,1,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[5,8,1,4,2,3,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>14
[5,1,6,3,4,2,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>7
[4,8,6,5,3,2,1,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>20
[4,8,5,6,3,2,1,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[5,4,7,8,3,2,1,6]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[5,4,8,7,3,2,1,6]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[4,6,8,7,3,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[4,6,7,8,3,2,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[4,7,6,8,3,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[4,7,8,5,3,2,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[5,7,1,3,4,2,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>9
[5,1,8,4,2,3,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>6
[5,1,7,4,2,3,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[5,8,1,3,4,2,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>9
[4,8,7,5,3,2,1,6]=>[[1,2,8],[3],[4],[5],[6],[7]]=>20
[4,7,8,6,3,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[4,8,7,6,3,2,1,5]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[4,8,2,6,3,7,5,1]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[4,3,8,1,6,2,5,7]=>[[1,3,7,8],[2,5],[4,6]]=>7
[4,3,8,7,2,5,1,6]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[5,8,4,3,7,1,6,2]=>[[1,2],[3,5],[4,7],[6,8]]=>19
[6,8,1,2,4,3,5,7]=>[[1,2,5,7,8],[3,4],[6]]=>9
[5,8,7,1,3,4,2,6]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[4,8,7,6,3,1,2,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[4,3,8,2,7,5,6,1]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[1,4,3,8,2,6,5,7]=>[[1,2,4,8],[3,6],[5,7]]=>13
[4,3,2,8,1,6,5,7]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[4,1,3,8,2,6,5,7]=>[[1,3,4,8],[2,6],[5,7]]=>10
[4,1,8,3,7,5,6,2]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[3,7,8,1,5,4,2,6]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[7,3,8,1,5,4,6,2]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[3,4,8,1,6,2,5,7]=>[[1,2,3,8],[4,5,7],[6]]=>14
[3,4,2,1,8,6,5,7]=>[[1,2,5,8],[3,6],[4,7]]=>12
[3,6,7,8,4,1,2,5]=>[[1,2,3,4],[5,7,8],[6]]=>17
[4,1,7,8,5,3,2,6]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[3,7,6,8,4,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[3,7,8,2,6,4,5,1]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[4,2,3,8,1,6,5,7]=>[[1,3,4,8],[2,6],[5,7]]=>10
[4,3,1,8,2,6,5,7]=>[[1,4,6,8],[2,5],[3,7]]=>7
[2,6,8,4,7,3,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[7,3,6,8,4,2,1,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[7,6,2,8,3,5,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[3,2,4,8,1,6,5,7]=>[[1,3,4,8],[2,6],[5,7]]=>10
[2,4,8,3,6,1,5,7]=>[[1,2,3,8],[4,5],[6,7]]=>16
[7,4,1,8,5,2,6,3]=>[[1,4,7],[2,5,8],[3,6]]=>7
[1,3,2,4,8,6,5,7]=>[[1,2,4,5,8],[3,6],[7]]=>12
[3,1,2,4,8,6,5,7]=>[[1,3,4,5,8],[2,6],[7]]=>10
[3,1,4,8,2,6,5,7]=>[[1,3,4,8],[2,5,6],[7]]=>11
[3,7,4,8,5,1,2,6]=>[[1,2,4,8],[3,5],[6,7]]=>15
[6,7,2,8,3,5,4,1]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[2,1,3,4,8,6,5,7]=>[[1,3,4,5,8],[2,6],[7]]=>10
[1,2,3,4,8,6,5,7]=>[[1,2,3,4,5,8],[6],[7]]=>11
[4,8,3,6,2,1,5,7]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[3,5,8,2,6,1,4,7]=>[[1,2,3,8],[4,5],[6,7]]=>16
[3,6,5,8,2,4,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[5,3,8,7,2,4,6,1]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[2,8,4,5,7,3,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[2,4,5,7,3,8,1,6]=>[[1,2,3,4,6],[5,8],[7]]=>15
[6,2,4,5,8,3,1,7]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[4,8,1,2,5,6,3,7]=>[[1,2,5,6,8],[3,4],[7]]=>10
[8,1,3,5,2,6,4,7]=>[[1,3,4,6,8],[2,7],[5]]=>8
[5,2,1,6,3,8,4,7]=>[[1,4,6,8],[2,5,7],[3]]=>5
[6,2,5,1,8,4,3,7]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[3,6,1,5,8,4,2,7]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[6,1,4,5,8,3,2,7]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[5,6,4,8,1,3,2,7]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[6,5,4,3,8,2,1,7]=>[[1,5],[2,8],[3],[4],[6],[7]]=>18
[5,4,3,7,2,8,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[5,8,4,3,7,2,6,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>22
[4,6,8,3,7,2,5,1]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[7,4,6,3,2,8,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[1,4,3,6,2,7,8,5]=>[[1,2,4,6,7],[3,8],[5]]=>11
[1,5,4,3,7,2,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[4,7,8,5,3,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[5,7,3,4,1,2,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>13
[8,5,4,7,6,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[8,5,7,4,3,6,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>17
[4,3,8,1,6,7,5,2]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[4,7,8,3,6,1,5,2]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[5,3,8,6,7,4,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[1,3,8,6,4,7,5,2]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[8,6,2,7,4,1,5,3]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[7,6,2,1,4,3,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[7,6,1,3,4,2,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[1,5,7,3,2,6,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>15
[1,6,7,3,2,5,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>15
[3,2,6,8,5,7,4,1]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[5,8,2,3,6,7,4,1]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[7,5,2,3,1,6,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[1,6,4,7,2,3,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>13
[3,1,7,5,2,8,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>7
[2,5,7,4,1,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>15
[4,2,6,1,7,8,3,5]=>[[1,3,5,6],[2,7,8],[4]]=>10
[4,2,7,6,3,8,1,5]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[6,4,8,7,2,3,5,1]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[3,2,6,8,7,4,5,1]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[3,2,7,4,1,6,8,5]=>[[1,3,6,7],[2,4],[5,8]]=>12
[6,3,2,1,7,8,4,5]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[3,7,1,8,4,2,5,6]=>[[1,2,4,8],[3,5,7],[6]]=>13
[4,2,1,3,7,5,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>8
[8,1,3,7,4,2,6,5]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[8,4,3,7,6,2,1,5]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[8,3,5,2,7,6,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[3,6,2,8,7,1,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[7,3,2,8,1,6,5,4]=>[[1,4],[2,6],[3,7],[5,8]]=>13
[3,8,7,2,6,5,4,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>25
[4,2,7,8,6,1,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[6,8,2,4,7,1,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[5,2,1,8,7,3,6,4]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[8,2,1,6,3,7,5,4]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[6,8,3,1,7,5,2,4]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[5,8,1,6,7,2,4,3]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[6,2,8,1,5,7,4,3]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[5,7,8,2,6,1,4,3]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[8,7,2,5,6,4,3,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21
[8,6,7,5,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>22
[7,2,6,8,1,5,4,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[1,2,7,8,5,6,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[7,4,8,1,6,2,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[3,7,1,8,2,6,5,4]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[2,1,7,3,8,6,5,4]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[8,2,1,7,6,5,4,3]=>[[1,4],[2,5],[3],[6],[7],[8]]=>22
[8,1,4,7,6,5,3,2]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23
[8,6,7,5,1,4,3,2]=>[[1,3],[2,6],[4],[5],[7],[8]]=>22
[7,8,6,5,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>23
[5,8,4,3,2,1,6,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[6,4,7,3,2,1,8,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[5,4,7,3,2,1,6,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[6,5,3,7,2,1,4,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[5,8,3,6,2,1,4,7]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[6,3,7,8,2,1,4,5]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[5,3,7,6,2,1,4,8]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[3,8,7,6,2,1,4,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[5,8,4,2,6,1,3,7]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[4,8,7,2,5,1,3,6]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[5,8,3,2,6,1,4,7]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[4,8,3,2,5,1,7,6]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[4,3,7,2,5,1,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[3,8,7,2,5,1,4,6]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[6,4,2,7,5,1,3,8]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[6,3,2,7,5,1,4,8]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[5,3,2,6,7,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[3,8,2,6,5,1,4,7]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[6,2,7,8,5,1,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>15
[5,2,7,6,8,1,3,4]=>[[1,3,5],[2,4,8],[6,7]]=>13
[4,2,7,6,5,1,3,8]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[2,8,7,6,5,1,3,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[6,5,4,3,1,7,8,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[6,4,7,3,1,5,8,2]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[5,4,7,3,1,8,6,2]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[6,4,3,7,1,5,8,2]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[5,4,3,6,1,8,7,2]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[6,3,7,8,1,4,5,2]=>[[1,3,4],[2,6,7],[5,8]]=>13
[5,3,7,6,1,4,8,2]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[4,3,7,6,1,5,8,2]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[3,8,7,6,1,4,5,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[6,5,4,2,1,7,3,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[6,4,7,2,1,5,3,8]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[4,8,7,2,1,5,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[5,8,3,2,1,4,7,6]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[4,8,3,2,1,5,7,6]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[5,3,7,2,1,4,8,6]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[3,8,7,2,1,4,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[6,5,2,7,1,4,3,8]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[5,8,2,6,1,4,3,7]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[6,4,2,7,1,5,3,8]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[5,4,2,6,1,8,3,7]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[4,3,2,6,1,5,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[6,2,7,8,1,4,3,5]=>[[1,3,4],[2,6,8],[5,7]]=>12
[4,2,7,6,1,5,3,8]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[3,2,7,6,1,4,5,8]=>[[1,3,7,8],[2,4],[5,6]]=>10
[6,5,4,1,8,7,3,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[5,8,4,1,6,7,3,2]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[6,4,7,1,5,8,3,2]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[5,4,7,1,6,8,3,2]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[4,8,7,1,5,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[5,4,3,1,6,8,7,2]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[4,8,3,1,5,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>12
[3,8,7,1,5,4,6,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[5,8,2,1,6,4,3,7]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[6,3,2,1,5,4,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[5,3,2,1,6,4,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[3,8,2,1,5,4,6,7]=>[[1,2,7,8],[3,5],[4,6]]=>10
[6,2,7,1,5,4,3,8]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[5,2,7,1,6,4,3,8]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[4,2,7,1,5,6,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>8
[3,2,7,1,5,4,6,8]=>[[1,3,7,8],[2,5],[4,6]]=>7
[2,8,7,1,5,4,3,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[6,5,1,7,8,4,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[5,8,1,6,7,4,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[6,4,1,7,5,8,3,2]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[5,4,1,6,7,8,3,2]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[4,8,1,6,5,7,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[6,3,1,7,5,4,8,2]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[5,3,1,6,7,4,8,2]=>[[1,4,5,7],[2,6],[3,8]]=>9
[4,3,1,6,5,7,8,2]=>[[1,4,6,7],[2,5],[3,8]]=>8
[3,8,1,6,5,4,7,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[5,2,1,6,7,4,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>8
[4,2,1,6,5,7,3,8]=>[[1,4,6,8],[2,5],[3,7]]=>7
[2,8,1,6,5,4,3,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[6,1,7,8,5,4,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[4,1,7,6,5,8,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[3,1,7,6,5,4,8,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[4,5,8,1,2,6,3,7]=>[[1,2,3,8],[4,5,6],[7]]=>15
[1,4,5,7,2,6,3,8]=>[[1,2,3,4,8],[5,6],[7]]=>14
[1,7,3,5,6,2,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>11
[8,1,3,5,7,2,4,6]=>[[1,3,4,5],[2,7,8],[6]]=>12
[3,6,8,1,7,2,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>14
[3,4,5,6,8,1,7,2]=>[[1,2,3,4,5],[6,7],[8]]=>17
[4,5,8,2,6,7,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>18
[8,2,3,5,6,7,1,4]=>[[1,3,4,5,6],[2,8],[7]]=>11
[1,7,2,3,5,4,6,8]=>[[1,2,4,5,7,8],[3],[6]]=>7
[8,1,2,3,5,4,6,7]=>[[1,3,4,5,7,8],[2],[6]]=>6
[2,7,8,1,3,5,4,6]=>[[1,2,3,8],[4,5,6],[7]]=>15
[2,7,8,3,5,6,1,4]=>[[1,2,3,6],[4,5],[7,8]]=>18
[2,4,5,7,8,1,6,3]=>[[1,2,3,4,5],[6,7],[8]]=>17
[4,5,8,1,7,6,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[4,5,8,7,2,1,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[8,7,3,5,6,2,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[8,7,2,1,3,5,4,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[3,6,8,7,2,1,5,4]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[8,6,4,1,7,5,3,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[7,6,4,3,1,8,5,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[2,3,6,7,8,1,5,4]=>[[1,2,3,4,5],[6,7],[8]]=>17
[3,6,8,1,2,5,4,7]=>[[1,2,3,8],[4,5,6],[7]]=>15
[1,3,6,7,2,5,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>14
[7,4,1,8,5,2,3,6]=>[[1,4,7,8],[2,5],[3,6]]=>6
[7,1,4,2,8,3,6,5]=>[[1,3,5,7],[2,6],[4,8]]=>10
[7,1,8,2,5,3,6,4]=>[[1,3,5,7],[2,4],[6,8]]=>13
[8,1,7,5,4,2,3,6]=>[[1,3,7,8],[2],[4],[5],[6]]=>13
[1,7,2,6,5,4,3,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[1,7,6,3,2,5,4,8]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[8,6,3,1,2,5,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[8,1,7,6,3,2,4,5]=>[[1,3,7,8],[2],[4],[5],[6]]=>13
[8,2,5,7,6,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[3,6,8,1,7,5,4,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[8,2,6,7,5,4,1,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[2,7,8,6,3,1,5,4]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[2,7,8,1,6,5,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[7,3,1,8,6,5,4,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[8,7,2,1,6,5,4,3]=>[[1,5],[2,6],[3],[4],[7],[8]]=>20
[8,7,6,3,2,1,5,4]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[2,1,8,6,3,7,4,5]=>[[1,3,6,8],[2,4,7],[5]]=>7
[8,6,1,5,2,7,4,3]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[8,5,1,7,4,2,6,3]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[2,1,7,5,4,3,8,6]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[2,1,7,8,3,6,5,4]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[2,1,4,8,5,7,3,6]=>[[1,3,4,6],[2,5,8],[7]]=>12
[8,5,3,1,6,2,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[6,4,1,5,2,3,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>6
[8,3,7,5,2,6,1,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[5,3,7,4,6,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>14
[5,8,3,7,6,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[4,2,6,3,8,5,1,7]=>[[1,3,5,8],[2,4,6],[7]]=>9
[5,8,2,1,7,6,4,3]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[8,3,2,4,1,7,5,6]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[7,2,8,1,4,6,5,3]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[6,8,1,4,5,3,2,7]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[8,2,6,1,4,7,3,5]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[8,3,5,6,1,7,4,2]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[6,3,5,4,1,2,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[8,7,3,6,5,1,4,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>20
[2,7,4,3,6,1,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[3,4,7,2,8,1,5,6]=>[[1,2,3,5],[4,7,8],[6]]=>16
[4,2,3,5,8,1,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>9
[3,8,4,7,1,6,5,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[3,2,4,6,1,5,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>10
[8,3,4,5,7,6,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[3,2,4,5,6,8,1,7]=>[[1,3,4,5,6],[2,8],[7]]=>11
[5,6,8,1,4,2,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>20
[1,5,7,8,4,6,2,3]=>[[1,2,3,4],[5,6],[7,8]]=>20
[1,3,5,7,8,6,2,4]=>[[1,2,3,4,5],[6,8],[7]]=>16
[3,5,7,8,6,1,2,4]=>[[1,2,3,4],[5,7,8],[6]]=>17
[3,5,1,6,8,2,7,4]=>[[1,2,4,5],[3,6,7],[8]]=>17
[3,1,5,6,8,2,7,4]=>[[1,3,4,5],[2,6,7],[8]]=>14
[2,3,5,6,8,1,7,4]=>[[1,2,3,4,5],[6,7],[8]]=>17
[5,6,4,8,2,1,7,3]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[5,1,6,3,8,4,7,2]=>[[1,3,5,7],[2,4,6],[8]]=>10
[2,5,1,6,8,3,7,4]=>[[1,2,4,5],[3,6,7],[8]]=>17
[5,1,2,6,8,3,7,4]=>[[1,3,4,5],[2,6,7],[8]]=>14
[5,7,1,8,6,2,3,4]=>[[1,2,4,8],[3,5,7],[6]]=>13
[1,5,2,7,8,6,3,4]=>[[1,2,4,5],[3,6,8],[7]]=>16
[1,6,7,5,2,8,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>15
[6,1,7,5,2,8,3,4]=>[[1,3,6,8],[2,4,7],[5]]=>7
[2,6,7,5,1,8,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>15
[5,7,2,8,6,1,3,4]=>[[1,2,4],[3,5,8],[6,7]]=>18
[3,5,7,8,6,2,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[5,1,7,8,6,3,4,2]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[5,1,3,7,8,6,4,2]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[5,2,7,8,4,6,1,3]=>[[1,3,4],[2,5,6],[7,8]]=>17
[3,2,5,7,8,6,1,4]=>[[1,3,4,5],[2,6],[7,8]]=>16
[6,2,7,5,1,8,3,4]=>[[1,3,6],[2,4,8],[5,7]]=>12
[1,2,6,7,5,8,3,4]=>[[1,2,3,4,6],[5,8],[7]]=>15
[6,2,7,5,4,1,8,3]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[6,7,5,2,4,1,8,3]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[6,7,2,5,3,8,1,4]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[6,7,4,5,2,1,8,3]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[5,1,7,8,6,4,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[2,5,7,8,6,3,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[5,1,7,8,6,3,2,4]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[6,3,7,5,1,8,2,4]=>[[1,3,6],[2,4,8],[5,7]]=>12
[1,6,7,5,3,8,2,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[1,6,7,5,4,2,8,3]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[6,7,5,1,4,2,8,3]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[5,7,8,6,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[4,1,7,2,6,5,8,3]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[2,4,7,1,5,6,8,3]=>[[1,2,3,6,7],[4,5],[8]]=>13
[6,7,4,1,5,2,8,3]=>[[1,2,7],[3,5,8],[4,6]]=>11
[1,6,7,4,5,2,8,3]=>[[1,2,3,7],[4,5],[6,8]]=>17
[1,6,3,7,5,8,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>17
[6,3,1,7,5,8,2,4]=>[[1,4,6],[2,5,8],[3,7]]=>8
[2,5,3,7,8,6,1,4]=>[[1,2,4,5],[3,6],[7,8]]=>18
[6,7,5,4,2,1,8,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[6,3,2,7,5,8,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[6,7,4,2,5,1,8,3]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[6,2,7,4,5,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>13
[6,2,3,7,5,8,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>15
[7,5,1,6,3,8,2,4]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[2,7,6,1,3,8,5,4]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[7,3,5,1,8,2,6,4]=>[[1,3,5],[2,6,7],[4,8]]=>12
[7,3,5,1,8,2,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>8
[3,7,5,1,8,6,2,4]=>[[1,2,5],[3,6,8],[4,7]]=>15
[2,6,7,4,1,8,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>15
[2,1,6,7,3,8,5,4]=>[[1,3,4,6],[2,5,7],[8]]=>13
[3,6,5,1,8,4,7,2]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[3,6,5,1,8,4,2,7]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[3,7,5,4,8,1,6,2]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[4,6,1,5,8,7,3,2]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[7,5,1,6,2,8,4,3]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[2,3,4,7,8,1,6,5]=>[[1,2,3,4,5],[6,7],[8]]=>17
[6,8,5,4,3,2,7,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>23
[6,8,5,4,3,7,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>24
[5,8,4,3,2,1,7,6]=>[[1,2],[3,7],[4,8],[5],[6]]=>19
[6,5,4,3,1,8,7,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[8,7,6,5,4,3,9,1,2]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>23
[8,7,5,4,3,1,6,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[9,7,6,5,4,3,1,8,2]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>22
[8,3,4,6,2,1,5,7]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[3,5,6,2,1,8,4,7]=>[[1,2,3,6],[4,7,8],[5]]=>15
[3,5,2,6,8,4,1,7]=>[[1,2,4,5],[3,6,8],[7]]=>16
[7,5,3,2,8,4,1,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[7,5,3,2,8,4,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[2,4,5,7,3,8,6,1]=>[[1,2,3,4,6],[5,7],[8]]=>16
[4,2,5,6,8,3,1,7]=>[[1,3,4,5],[2,6,8],[7]]=>13
[4,2,8,1,5,6,3,7]=>[[1,3,6,8],[2,5],[4,7]]=>8
[2,5,6,1,8,4,3,7]=>[[1,2,3,5],[4,6,8],[7]]=>17
[5,3,6,8,1,4,2,7]=>[[1,3,4],[2,6,8],[5,7]]=>12
[4,5,6,8,1,3,2,7]=>[[1,2,3,4],[5,6,8],[7]]=>18
[1,4,5,6,8,3,2,7]=>[[1,2,3,4,5],[6,8],[7]]=>16
[4,5,6,3,8,2,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[4,5,3,7,2,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[6,4,7,3,2,8,5,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[6,1,4,7,3,2,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[1,7,8,4,5,3,2,6]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[5,1,7,3,8,4,2,6]=>[[1,3,5,8],[2,4,6],[7]]=>9
[2,5,1,7,4,3,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>14
[2,5,7,4,1,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>16
[5,3,7,1,4,8,6,2]=>[[1,3,6],[2,5,7],[4,8]]=>10
[6,4,3,1,7,8,5,2]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[6,4,1,7,3,8,5,2]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[5,6,3,7,8,4,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[5,1,6,3,7,8,4,2]=>[[1,3,5,6],[2,4,7],[8]]=>11
[5,6,1,3,7,8,4,2]=>[[1,2,5,6],[3,4,7],[8]]=>13
[5,6,1,7,8,3,4,2]=>[[1,2,4,5],[3,6,7],[8]]=>17
[1,6,3,7,4,8,5,2]=>[[1,2,4,6],[3,5,7],[8]]=>16
[6,7,2,4,1,8,5,3]=>[[1,2,6],[3,4,7],[5,8]]=>15
[6,7,2,1,4,3,8,5]=>[[1,2,7],[3,5,8],[4,6]]=>11
[6,4,7,3,1,2,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[5,6,3,1,2,7,8,4]=>[[1,2,6,7],[3,5,8],[4]]=>9
[5,6,1,3,2,7,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>10
[5,6,3,2,1,7,8,4]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[2,5,6,3,7,8,4,1]=>[[1,2,3,5,6],[4,7],[8]]=>15
[2,5,6,3,1,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>12
[2,6,4,7,3,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[6,3,7,2,8,4,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[6,3,7,2,8,4,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[6,3,2,7,1,8,4,5]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[7,5,3,2,1,8,4,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[7,3,8,4,2,1,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[4,7,2,1,3,8,6,5]=>[[1,2,6],[3,5,7],[4,8]]=>13
[1,3,7,8,6,4,2,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[7,3,8,4,6,2,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[5,7,3,8,2,1,6,4]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[6,3,7,8,5,2,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[4,6,2,7,8,5,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[4,6,2,1,7,8,5,3]=>[[1,2,5,6],[3,7],[4,8]]=>14
[7,4,5,8,1,2,6,3]=>[[1,3,4],[2,6,7],[5,8]]=>13
[2,5,1,7,3,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>16
[6,7,2,1,3,8,5,4]=>[[1,2,6],[3,5,7],[4,8]]=>13
[5,1,6,7,8,2,4,3]=>[[1,3,4,5],[2,6,7],[8]]=>14
[6,3,7,1,8,5,2,4]=>[[1,3,5],[2,6,8],[4,7]]=>11
[6,2,1,7,3,8,5,4]=>[[1,4,6],[2,5,7],[3,8]]=>9
[6,2,7,1,8,5,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[6,3,1,7,8,5,4,2]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[4,1,3,6,8,2,5,7]=>[[1,3,4,5],[2,7,8],[6]]=>12
[4,2,3,6,8,1,5,7]=>[[1,3,4,5],[2,7,8],[6]]=>12
[5,3,2,1,8,4,7,6]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[3,6,5,8,2,1,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[4,5,2,1,3,8,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>13
[3,2,6,4,5,8,1,7]=>[[1,3,5,6],[2,4,8],[7]]=>10
[2,4,6,5,8,1,3,7]=>[[1,2,3,5],[4,7,8],[6]]=>16
[1,6,2,4,5,8,3,7]=>[[1,2,4,5,6],[3,8],[7]]=>13
[5,3,2,1,6,8,4,7]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[6,2,4,5,8,1,3,7]=>[[1,3,4,5],[2,7,8],[6]]=>12
[1,3,4,6,5,8,2,7]=>[[1,2,3,4,6],[5,8],[7]]=>15
[1,6,3,4,5,8,2,7]=>[[1,2,4,5,6],[3,8],[7]]=>13
[3,4,1,8,5,2,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>14
[2,8,4,1,7,6,3,5]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[8,1,4,2,7,3,6,5]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[1,5,3,2,8,7,4,6]=>[[1,2,5,8],[3,6],[4,7]]=>12
[8,2,1,7,5,3,4,6]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[1,7,6,4,5,8,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[5,8,7,4,1,2,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[5,8,7,4,6,2,1,3]=>[[1,2],[3,5],[4,8],[6],[7]]=>21
[3,4,2,5,8,6,7,1]=>[[1,2,4,5,7],[3,6],[8]]=>13
[4,1,3,5,6,8,7,2]=>[[1,3,4,5,6],[2,7],[8]]=>12
[2,4,8,6,7,1,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>16
[4,3,6,2,8,1,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[3,7,4,8,2,1,6,5]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[2,3,5,8,6,7,1,4]=>[[1,2,3,4,6],[5,8],[7]]=>15
[3,2,5,6,8,7,1,4]=>[[1,3,4,5],[2,6],[7,8]]=>16
[2,1,8,5,6,7,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>10
[1,2,8,3,5,6,7,4]=>[[1,2,3,5,6,7],[4],[8]]=>10
[4,2,3,7,1,8,6,5]=>[[1,3,4,6],[2,7],[5,8]]=>12
[3,2,6,4,8,1,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>14
[8,2,1,6,7,3,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>7
[2,7,8,5,4,1,3,6]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[1,7,5,3,8,4,2,6]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[4,7,5,3,1,2,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[7,2,4,8,5,3,1,6]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[4,8,3,1,2,7,6,5]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[3,5,2,7,4,1,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>14
[8,4,2,3,7,1,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[2,8,4,7,1,3,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>12
[8,2,4,6,7,1,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>12
[4,8,2,3,6,7,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>16
[3,5,2,7,6,1,8,4]=>[[1,2,4,7],[3,5],[6,8]]=>16
[1,6,3,2,5,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>14
[5,8,3,2,1,6,7,4]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[5,8,7,3,4,6,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[5,8,2,7,4,1,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[5,1,4,2,8,7,6,3]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[4,7,6,5,8,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[5,3,7,1,6,2,8,4]=>[[1,3,7],[2,5,8],[4,6]]=>8
[5,2,6,8,7,1,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>15
[6,3,2,1,8,5,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[2,7,5,4,1,8,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[4,2,5,6,8,7,1,3]=>[[1,3,4,5],[2,6],[7,8]]=>16
[1,8,4,2,5,6,7,3]=>[[1,2,5,6,7],[3,8],[4]]=>10
[3,8,4,1,5,6,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>10
[4,2,8,5,6,7,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>14
[5,2,4,7,1,8,6,3]=>[[1,3,4,6],[2,7],[5,8]]=>12
[5,3,4,7,1,8,6,2]=>[[1,3,4,6],[2,7],[5,8]]=>12
[8,6,4,1,3,2,5,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[8,1,3,6,5,2,4,7]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[8,1,4,3,6,5,2,7]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[3,6,5,2,1,8,7,4]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[8,3,2,4,6,5,1,7]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[8,4,2,1,6,5,3,7]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[8,4,1,2,6,5,3,7]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[8,6,4,2,1,5,3,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,3,6,4,1,5,2,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[8,2,6,3,4,5,1,7]=>[[1,3,5,6,8],[2],[4],[7]]=>10
[1,3,4,8,5,7,2,6]=>[[1,2,3,4,6],[5,8],[7]]=>15
[5,8,4,7,6,2,3,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>24
[1,3,4,7,5,8,2,6]=>[[1,2,3,4,6],[5,8],[7]]=>15
[1,3,5,2,4,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>17
[2,6,5,1,3,8,7,4]=>[[1,2,6],[3,5,7],[4,8]]=>13
[4,7,1,6,5,8,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[5,4,8,7,6,3,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[2,8,5,1,4,7,6,3]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[4,3,1,5,8,6,7,2]=>[[1,4,5,7],[2,6],[3,8]]=>9
[4,1,3,5,8,6,7,2]=>[[1,3,4,5,7],[2,6],[8]]=>11
[6,5,3,8,4,7,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[5,4,2,1,6,8,7,3]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[6,8,4,3,2,7,1,5]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[3,4,7,8,2,1,6,5]=>[[1,2,3,4],[5,7],[6,8]]=>18
[5,1,3,2,8,6,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>10
[5,3,1,2,8,6,7,4]=>[[1,4,5,7],[2,6],[3,8]]=>9
[5,2,3,1,6,8,7,4]=>[[1,3,5,6],[2,7],[4,8]]=>11
[5,3,2,1,8,6,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[5,2,1,3,6,8,7,4]=>[[1,4,5,6],[2,7],[3,8]]=>10
[2,4,7,3,8,1,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>17
[6,3,8,2,7,4,1,5]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[8,2,1,3,6,4,7,5]=>[[1,4,5,7],[2,6,8],[3]]=>8
[3,5,1,7,8,4,2,6]=>[[1,2,4,5],[3,6,8],[7]]=>16
[2,7,4,5,8,3,1,6]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[1,8,4,3,7,2,6,5]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[3,4,8,7,2,1,6,5]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[5,4,7,8,3,6,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[6,4,3,8,7,2,1,5]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[6,3,8,7,4,1,2,5]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[3,5,7,2,4,8,1,6]=>[[1,2,3,6],[4,5,8],[7]]=>16
[8,4,7,2,3,1,5,6]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[8,4,7,1,3,2,5,6]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[8,4,7,2,1,3,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[8,6,4,2,1,3,7,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[8,6,4,1,3,2,7,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[8,6,4,2,3,1,7,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[3,5,7,2,6,1,8,4]=>[[1,2,3,7],[4,5],[6,8]]=>17
[6,1,3,8,5,7,2,4]=>[[1,3,4,6],[2,5],[7,8]]=>15
[5,8,3,2,6,7,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[4,8,5,3,6,2,7,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>17
[2,8,1,5,4,7,6,3]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[1,5,8,7,4,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[2,1,7,6,4,5,8,3]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[1,7,2,4,6,5,8,3]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[3,5,1,7,6,8,2,4]=>[[1,2,4,6],[3,5,8],[7]]=>15
[5,8,2,6,1,3,7,4]=>[[1,2,7],[3,4,8],[5,6]]=>13
[6,3,5,8,7,2,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[2,5,7,8,4,1,6,3]=>[[1,2,3,4],[5,7],[6,8]]=>18
[4,2,8,1,5,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>9
[4,1,5,2,6,8,7,3]=>[[1,3,5,6],[2,4,7],[8]]=>11
[3,4,5,1,6,8,7,2]=>[[1,2,3,5,6],[4,7],[8]]=>15
[4,2,8,5,1,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>12
[4,1,8,5,2,6,7,3]=>[[1,3,6,7],[2,4,8],[5]]=>8
[2,7,1,8,5,4,6,3]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[5,8,6,2,1,3,7,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[8,2,4,1,5,6,7,3]=>[[1,3,5,6,7],[2,8],[4]]=>8
[4,6,3,5,8,1,7,2]=>[[1,2,5],[3,4,7],[6,8]]=>16
[1,7,8,3,5,4,6,2]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[3,4,5,1,8,6,7,2]=>[[1,2,3,5,7],[4,6],[8]]=>14
[3,8,1,4,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>11
[3,4,5,7,8,2,6,1]=>[[1,2,3,4,5],[6,7],[8]]=>17
[3,4,6,2,8,5,1,7]=>[[1,2,3,5],[4,6,8],[7]]=>17
[3,4,6,8,1,5,2,7]=>[[1,2,3,4],[5,6,8],[7]]=>18
[3,4,7,2,1,8,6,5]=>[[1,2,3,6],[4,7],[5,8]]=>16
[3,4,8,2,1,5,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>10
[3,5,2,7,8,4,6,1]=>[[1,2,4,5],[3,6,7],[8]]=>17
[3,5,6,2,8,4,1,7]=>[[1,2,3,5],[4,6,8],[7]]=>17
[3,5,6,8,4,1,2,7]=>[[1,2,3,4],[5,7,8],[6]]=>17
[3,5,7,2,4,8,6,1]=>[[1,2,3,6],[4,5,7],[8]]=>17
[3,5,7,2,8,4,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>18
[3,5,7,8,4,1,6,2]=>[[1,2,3,4],[5,7],[6,8]]=>18
[3,6,2,1,8,5,4,7]=>[[1,2,5],[3,6,8],[4,7]]=>15
[3,6,7,2,8,5,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[3,6,8,2,4,5,1,7]=>[[1,2,3,8],[4,5,6],[7]]=>15
[3,7,2,1,4,8,6,5]=>[[1,2,6],[3,5,7],[4,8]]=>13
[3,7,2,8,4,5,6,1]=>[[1,2,4,7],[3,5,6],[8]]=>15
[3,8,2,1,4,5,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>7
[4,1,5,6,7,8,3,2]=>[[1,3,4,5,6],[2,7],[8]]=>12
[4,1,5,7,3,8,6,2]=>[[1,3,4,6],[2,5,7],[8]]=>13
[4,1,6,3,7,8,5,2]=>[[1,3,5,6],[2,4,7],[8]]=>11
[4,1,6,3,8,5,2,7]=>[[1,3,5,8],[2,4,6],[7]]=>9
[4,1,6,7,3,8,5,2]=>[[1,3,4,6],[2,5,7],[8]]=>13
[4,1,6,8,3,5,2,7]=>[[1,3,4,8],[2,5,6],[7]]=>11
[4,1,7,3,2,8,6,5]=>[[1,3,6],[2,4,7],[5,8]]=>13
[4,1,8,3,2,5,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>6
[4,5,2,6,8,1,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>15
[4,5,7,3,8,1,6,2]=>[[1,2,3,5],[4,7],[6,8]]=>17
[4,5,8,3,2,1,6,7]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[4,6,2,7,8,5,1,3]=>[[1,2,4,5],[3,6],[7,8]]=>18
[4,6,7,3,2,8,5,1]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[4,7,2,8,3,5,6,1]=>[[1,2,4,7],[3,5,6],[8]]=>15
[4,7,8,3,2,5,6,1]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[4,8,2,3,1,5,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>8
[5,1,2,6,8,4,3,7]=>[[1,3,4,5],[2,6,8],[7]]=>13
[5,1,6,3,8,4,2,7]=>[[1,3,5,8],[2,4,6],[7]]=>9
[5,1,6,7,4,8,2,3]=>[[1,3,4,6],[2,5,8],[7]]=>12
[5,6,2,3,8,4,1,7]=>[[1,2,5,8],[3,4,6],[7]]=>11
[5,6,2,7,8,4,1,3]=>[[1,2,4,5],[3,6],[7,8]]=>18
[5,6,8,3,4,2,1,7]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[5,7,2,3,4,8,6,1]=>[[1,2,5,6],[3,4,7],[8]]=>13
[5,7,8,3,4,2,6,1]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[5,8,2,3,4,1,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>9
[6,1,2,3,7,8,5,4]=>[[1,3,4,5,6],[2,7],[8]]=>12
[6,1,2,3,8,5,4,7]=>[[1,3,4,5,8],[2,6],[7]]=>10
[6,1,2,7,8,5,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[6,1,7,3,8,5,4,2]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[6,1,7,8,4,5,3,2]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[6,1,8,3,4,5,2,7]=>[[1,3,5,6,8],[2,4],[7]]=>8
[6,7,2,3,8,5,4,1]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[6,7,2,8,4,5,3,1]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[7,1,2,3,4,8,6,5]=>[[1,3,4,5,6],[2,7],[8]]=>12
[7,1,2,8,4,5,6,3]=>[[1,3,4,6,7],[2,5],[8]]=>10
[7,1,8,3,4,5,6,2]=>[[1,3,5,6,7],[2,4],[8]]=>9
[6,4,1,8,2,3,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>8
[5,8,1,2,4,3,7,6]=>[[1,2,5,7],[3,4],[6,8]]=>15
[1,3,5,7,2,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>14
[3,5,8,6,1,2,4,7]=>[[1,2,3,8],[4,6,7],[5]]=>13
[3,1,6,8,2,4,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>12
[3,6,2,8,1,5,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>17
[2,6,1,3,8,4,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>12
[1,7,5,2,3,4,6,8]=>[[1,2,5,6,7,8],[3],[4]]=>5
[2,7,5,1,3,8,4,6]=>[[1,2,6,8],[3,5,7],[4]]=>8
[8,2,5,7,4,6,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[8,2,1,3,7,6,4,5]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[8,2,5,1,3,7,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>6
[8,2,7,5,3,1,6,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[8,2,6,5,4,7,1,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[7,6,5,2,4,8,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[7,8,2,5,3,1,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[7,1,8,6,3,2,4,5]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[6,8,1,5,3,2,4,7]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[1,6,7,5,3,2,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[6,5,1,2,4,8,3,7]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[7,8,1,6,4,2,3,5]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[8,4,1,2,5,6,3,7]=>[[1,4,5,6,8],[2,7],[3]]=>6
[1,7,3,6,5,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[8,1,3,7,2,6,4,5]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[7,3,2,6,5,1,8,4]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[7,8,4,2,5,6,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[8,2,7,4,5,6,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[8,2,3,6,5,1,7,4]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[7,9,8,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>35
[6,9,8,7,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>35
[5,9,8,7,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>35
[4,9,8,7,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>35
[3,9,8,7,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>35
[2,9,8,7,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9]]=>35
[8,10,9,7,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>44
[7,10,9,8,6,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>44
[4,8,6,5,7,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>23
[6,10,9,8,7,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>44
[3,8,7,5,4,6,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>22
[4,8,5,6,7,3,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[5,10,9,8,7,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>44
[2,8,7,6,4,3,5,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>21
[3,8,7,4,5,6,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[4,10,9,8,7,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>44
[1,8,7,6,5,3,2,4]=>[[1,2,8],[3],[4],[5],[6],[7]]=>20
[2,8,7,6,3,4,5,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>16
[3,10,9,8,7,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>44
[1,8,7,6,5,2,3,4]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[1,9,8,7,6,5,4,2,3]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>27
[2,10,9,8,7,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6],[7],[8],[9],[10]]=>44
[7,2,8,6,5,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[7,2,8,5,4,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[6,3,2,8,5,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[6,8,5,4,3,1,7,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>19
[5,8,6,4,1,3,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[3,6,1,8,5,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>19
[3,4,1,2,8,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>12
[6,8,3,5,4,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[7,2,5,8,3,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[7,6,3,8,5,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[7,2,6,4,8,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[4,2,3,1,7,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>10
[5,2,8,4,1,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[6,8,3,4,5,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>15
[1,6,3,2,5,8,4,7]=>[[1,2,5,6],[3,7,8],[4]]=>13
[8,3,2,1,5,4,7,6]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[6,3,7,1,5,8,4,2]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[2,5,1,8,4,3,7,6]=>[[1,2,4],[3,5,7],[6,8]]=>19
[6,2,5,4,8,1,3,7]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[4,3,1,6,5,8,2,7]=>[[1,4,6],[2,5,8],[3,7]]=>8
[1,3,5,4,6,8,2,7]=>[[1,2,3,5,6],[4,8],[7]]=>14
[6,1,3,4,5,8,2,7]=>[[1,3,4,5,6],[2,8],[7]]=>11
[8,3,4,1,5,2,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[7,5,4,2,6,8,3,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[8,2,6,4,1,7,3,5]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[7,3,8,4,5,2,1,6]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[7,2,5,1,8,4,3,6]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[1,7,3,2,5,4,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>12
[8,7,2,1,5,3,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[3,6,1,5,8,7,4,2]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[8,3,6,4,5,1,7,2]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[5,4,6,8,1,2,7,3]=>[[1,3,4],[2,6,7],[5,8]]=>13
[6,4,7,2,3,5,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[6,8,4,1,3,5,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[3,4,7,8,6,2,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[4,1,3,5,7,8,6,2]=>[[1,3,4,5,6],[2,7],[8]]=>12
[6,5,1,8,4,7,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[5,3,1,8,4,7,6,2]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[8,2,7,4,6,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[4,7,3,2,8,1,6,5]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[6,3,1,4,7,2,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>8
[8,7,3,6,1,5,2,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[7,4,3,6,8,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[2,4,7,3,8,5,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>18
[2,8,6,1,5,7,3,4]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[7,8,2,5,4,3,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[1,8,3,4,2,7,6,5]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[8,5,3,7,4,2,6,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[5,7,3,2,4,1,8,6]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[2,8,3,4,7,1,5,6]=>[[1,2,4,5,8],[3,7],[6]]=>11
[4,1,3,6,7,8,2,5]=>[[1,3,4,5,6],[2,8],[7]]=>11
[1,7,6,3,2,5,8,4]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[3,8,1,5,6,2,7,4]=>[[1,2,5,7],[3,4,8],[6]]=>11
[8,2,5,6,1,7,4,3]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[7,1,5,2,8,6,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[6,5,4,8,7,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[1,8,6,4,5,2,7,3]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[1,8,5,3,6,2,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[3,6,2,1,7,5,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>13
[2,5,4,1,8,7,6,3]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[4,7,2,6,5,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[6,8,1,4,2,7,3,5]=>[[1,2,6,8],[3,4],[5,7]]=>13
[6,3,4,7,1,8,2,5]=>[[1,3,4,6],[2,7,8],[5]]=>11
[3,4,7,8,2,5,6,1]=>[[1,2,3,4],[5,6,7],[8]]=>19
[1,8,2,4,5,6,7,3]=>[[1,2,4,5,6,7],[3],[8]]=>9
[5,2,4,1,6,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>11
[3,2,5,7,6,1,8,4]=>[[1,3,4,7],[2,5],[6,8]]=>14
[4,3,5,6,1,8,7,2]=>[[1,3,4,6],[2,7],[5,8]]=>12
[5,3,4,1,7,6,8,2]=>[[1,3,5,7],[2,6],[4,8]]=>10
[3,1,4,6,5,7,8,2]=>[[1,3,4,6,7],[2,5],[8]]=>10
[1,4,7,3,5,6,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>13
[1,3,2,7,5,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>16
[1,4,2,5,8,3,7,6]=>[[1,2,4,5],[3,6,7],[8]]=>17
[4,1,2,6,8,5,3,7]=>[[1,3,4,5],[2,6,8],[7]]=>13
[1,5,2,4,8,7,6,3]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[1,2,6,4,8,7,5,3]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[1,2,7,4,8,6,5,3]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[1,3,2,7,5,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>15
[1,3,2,8,5,7,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>15
[1,5,2,4,8,7,3,6]=>[[1,2,4,5],[3,6],[7,8]]=>18
[1,2,6,4,8,7,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>19
[1,2,7,8,5,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>20
[1,3,8,2,6,7,4,5]=>[[1,2,3,6],[4,5,8],[7]]=>16
[1,6,7,8,2,5,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>18
[1,5,7,8,2,3,6,4]=>[[1,2,3,4],[5,6,7],[8]]=>19
[1,5,2,7,8,4,6,3]=>[[1,2,4,5],[3,6,7],[8]]=>17
[1,3,6,2,4,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>17
[1,6,7,3,4,8,5,2]=>[[1,2,3,6],[4,5,7],[8]]=>17
[1,5,3,7,4,8,6,2]=>[[1,2,4,6],[3,5,7],[8]]=>16
[2,8,4,1,5,3,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>12
[1,3,8,4,2,7,6,5]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[1,2,7,4,8,3,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>17
[1,2,6,4,8,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>17
[1,5,2,4,8,3,7,6]=>[[1,2,4,5],[3,7],[6,8]]=>16
[1,8,3,5,2,7,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>14
[1,3,8,6,2,7,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>15
[1,2,6,8,5,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>18
[1,2,7,8,6,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[1,6,7,8,5,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>17
[1,5,7,8,6,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>17
[1,4,7,6,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>16
[2,3,8,7,4,1,6,5]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[1,2,6,8,7,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[1,2,7,8,6,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[5,2,6,7,3,4,8,1]=>[[1,3,4,7],[2,5,6],[8]]=>12
[5,2,4,7,6,3,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[5,6,2,1,7,8,3,4]=>[[1,2,5,6],[3,7,8],[4]]=>13
[5,6,2,1,4,8,7,3]=>[[1,2,6],[3,5,7],[4,8]]=>13
[2,6,1,4,5,8,7,3]=>[[1,2,5,6],[3,4,7],[8]]=>13
[5,4,2,7,6,3,8,1]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[2,3,7,6,4,5,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[2,6,1,7,5,8,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>15
[2,6,1,7,4,8,5,3]=>[[1,2,4,6],[3,5,7],[8]]=>16
[5,1,2,7,8,4,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>13
[2,6,1,7,4,8,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>15
[3,6,4,1,7,8,2,5]=>[[1,2,5,6],[3,7,8],[4]]=>13
[5,4,6,1,3,8,7,2]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[3,6,4,1,5,8,7,2]=>[[1,2,5,6],[3,7],[4,8]]=>14
[2,6,1,5,4,8,7,3]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[2,6,1,4,7,8,5,3]=>[[1,2,5,6],[3,4,7],[8]]=>13
[5,1,2,4,8,6,7,3]=>[[1,3,4,5,7],[2,6],[8]]=>11
[5,1,2,4,8,7,3,6]=>[[1,3,4,5],[2,6],[7,8]]=>16
[5,1,2,4,8,7,6,3]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[1,2,3,8,5,4,7,6]=>[[1,2,3,4,7],[5,8],[6]]=>14
[4,3,1,2,8,5,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>9
[2,1,5,3,8,6,4,7]=>[[1,3,5,8],[2,4,6],[7]]=>9
[1,2,3,8,5,6,4,7]=>[[1,2,3,4,6,8],[5],[7]]=>10
[1,2,3,8,6,4,5,7]=>[[1,2,3,4,7,8],[5],[6]]=>9
[1,2,3,8,6,5,4,7]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[1,2,3,8,5,4,6,7]=>[[1,2,3,4,7,8],[5],[6]]=>9
[2,6,1,5,4,8,3,7]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[5,1,2,4,8,6,3,7]=>[[1,3,4,5,8],[2,6],[7]]=>10
[5,1,2,4,8,3,7,6]=>[[1,3,4,5],[2,7],[6,8]]=>13
[5,6,3,1,4,8,2,7]=>[[1,2,6],[3,5,8],[4,7]]=>12
[2,5,4,3,1,8,6,7]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[5,4,6,3,1,8,7,2]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[3,6,4,5,1,8,7,2]=>[[1,2,4,6],[3,7],[5,8]]=>15
[3,6,5,4,1,8,7,2]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[5,2,6,1,7,8,4,3]=>[[1,3,5,6],[2,7],[4,8]]=>11
[5,1,6,2,8,7,3,4]=>[[1,3,5,8],[2,4,6],[7]]=>9
[2,1,3,7,8,6,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>13
[2,1,3,7,8,5,6,4]=>[[1,3,4,5],[2,6,7],[8]]=>14
[5,2,4,1,7,8,6,3]=>[[1,3,5,6],[2,7],[4,8]]=>11
[4,3,1,2,8,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>9
[5,1,4,2,8,6,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>10
[2,1,3,6,8,5,7,4]=>[[1,3,4,5],[2,6,7],[8]]=>14
[1,2,3,8,6,7,4,5]=>[[1,2,3,4,6],[5,8],[7]]=>15
[1,2,3,8,7,5,4,6]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[1,2,3,8,7,4,5,6]=>[[1,2,3,4,7,8],[5],[6]]=>9
[1,2,3,8,5,7,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>15
[2,1,3,6,8,7,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>13
[5,4,1,2,8,7,6,3]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[3,1,6,2,8,7,5,4]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[1,2,3,4,5,9,6,7,8]=>[[1,2,3,4,5,6,8,9],[7]]=>6
[1,2,3,4,9,5,6,7,8]=>[[1,2,3,4,5,7,8,9],[6]]=>5
[1,2,3,9,4,5,6,7,8]=>[[1,2,3,4,6,7,8,9],[5]]=>4
[1,2,9,3,4,5,6,7,8]=>[[1,2,3,5,6,7,8,9],[4]]=>3
[1,2,3,4,5,6,7,10,8,9]=>[[1,2,3,4,5,6,7,8,10],[9]]=>8
[1,2,3,4,5,9,7,6,8]=>[[1,2,3,4,5,6,9],[7],[8]]=>13
[1,2,3,4,5,6,10,7,8,9]=>[[1,2,3,4,5,6,7,9,10],[8]]=>7
[1,2,3,4,9,6,5,7,8]=>[[1,2,3,4,5,8,9],[6],[7]]=>11
[1,2,3,4,5,10,6,7,8,9]=>[[1,2,3,4,5,6,8,9,10],[7]]=>6
[1,2,3,9,5,4,6,7,8]=>[[1,2,3,4,7,8,9],[5],[6]]=>9
[1,2,3,4,10,5,6,7,8,9]=>[[1,2,3,4,5,7,8,9,10],[6]]=>5
[1,8,3,4,2,5,6,7]=>[[1,2,4,6,7,8],[3],[5]]=>6
[1,2,9,4,3,5,6,7,8]=>[[1,2,3,6,7,8,9],[4],[5]]=>7
[1,2,3,10,4,5,6,7,8,9]=>[[1,2,3,4,6,7,8,9,10],[5]]=>4
[1,8,4,3,2,5,6,7]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[1,9,3,2,4,5,6,7,8]=>[[1,2,5,6,7,8,9],[3],[4]]=>5
[1,2,10,3,4,5,6,7,8,9]=>[[1,2,3,5,6,7,8,9,10],[4]]=>3
[8,4,7,6,5,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>26
[8,4,7,5,6,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22
[8,5,7,4,6,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>23
[8,7,6,3,5,4,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>24
[8,6,7,3,5,4,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>23
[8,5,7,3,6,4,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>23
[8,1,7,4,6,5,3,2]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22
[8,1,7,3,6,5,4,2]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22
[8,2,7,3,6,5,4,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22
[8,3,7,2,6,5,4,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>23
[8,5,7,2,6,4,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>23
[8,6,7,2,5,4,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>23
[8,7,6,2,5,4,3,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>24
[8,4,7,1,6,5,3,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>23
[8,3,7,1,6,5,4,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>23
[8,2,7,1,6,5,4,3]=>[[1,3],[2,5],[4],[6],[7],[8]]=>23
[8,1,7,2,6,5,4,3]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22
[8,7,6,2,5,3,4,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18
[8,1,7,6,5,3,4,2]=>[[1,3,7],[2],[4],[5],[6],[8]]=>20
[8,3,7,6,5,2,4,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>21
[8,4,7,6,5,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>21
[8,5,7,6,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>21
[8,6,7,5,4,1,3,2]=>[[1,3],[2,7],[4],[5],[6],[8]]=>21
[8,5,7,6,4,1,3,2]=>[[1,3],[2,7],[4],[5],[6],[8]]=>21
[8,3,7,6,5,1,4,2]=>[[1,3],[2,7],[4],[5],[6],[8]]=>21
[8,7,6,4,5,1,3,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[8,7,6,2,5,1,4,3]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[8,7,6,1,5,2,4,3]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18
[6,8,1,3,2,5,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>13
[6,8,1,4,2,5,3,7]=>[[1,2,6,8],[3,4],[5,7]]=>13
[7,8,3,6,1,4,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[7,8,2,5,3,6,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[7,8,2,5,1,4,3,6]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[7,8,1,4,3,6,2,5]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[5,8,1,4,3,7,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[6,8,2,5,1,4,3,7]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[6,8,2,5,3,7,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[6,8,2,5,4,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[2,5,4,7,6,8,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>17
[2,5,3,7,6,8,1,4]=>[[1,2,4,6],[3,5],[7,8]]=>17
[2,5,1,4,3,7,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>9
[2,6,1,4,3,7,5,8]=>[[1,2,6,8],[3,4,7],[5]]=>9
[2,6,5,8,1,4,3,7]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[2,6,1,5,3,7,4,8]=>[[1,2,6,8],[3,4,7],[5]]=>9
[2,6,3,7,4,8,1,5]=>[[1,2,4,6],[3,5,8],[7]]=>15
[2,6,4,7,5,8,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>17
[5,8,3,6,4,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[5,8,2,6,4,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[4,8,2,6,3,7,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[4,8,1,5,3,7,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[4,8,1,5,2,6,3,7]=>[[1,2,6,8],[3,4,7],[5]]=>9
[4,8,3,7,1,5,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[6,8,3,7,1,4,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[5,8,1,3,2,6,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>13
[5,8,4,7,1,3,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[6,8,4,7,1,3,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[6,8,5,7,1,3,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[5,7,6,8,2,4,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[4,7,6,8,1,3,2,5]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[4,7,5,8,1,3,2,6]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[4,7,1,3,2,6,5,8]=>[[1,2,6,8],[3,4],[5,7]]=>13
[3,7,1,4,2,6,5,8]=>[[1,2,6,8],[3,4,7],[5]]=>9
[3,7,5,8,1,4,2,6]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[3,7,6,8,1,4,2,5]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[3,7,6,8,2,5,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[4,7,6,8,2,5,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[4,7,5,8,3,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[4,7,5,8,2,6,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[3,7,5,8,2,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[3,7,4,8,2,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[3,7,4,8,1,5,2,6]=>[[1,2,4,8],[3,6],[5,7]]=>13
[3,7,1,5,2,6,4,8]=>[[1,2,6,8],[3,4,7],[5]]=>9
[3,7,2,6,1,5,4,8]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[3,7,2,6,5,8,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[4,7,3,6,5,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[3,6,5,8,4,7,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[2,6,5,8,4,7,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[2,6,5,8,3,7,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[2,6,3,7,1,5,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>13
[7,6,4,2,8,5,3,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[7,6,4,3,8,2,5,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[7,6,4,8,5,2,3,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[6,8,4,3,7,2,1,5]=>[[1,2],[3,5],[4,8],[6],[7]]=>21
[6,7,4,3,5,1,8,2]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[6,7,3,5,4,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[6,8,3,7,5,2,4,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>24
[7,6,8,3,5,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[7,6,3,5,8,2,4,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[7,6,3,5,2,4,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[7,6,4,2,5,1,8,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[7,6,2,8,4,1,5,3]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[7,6,3,8,2,4,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[7,6,3,4,8,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[6,8,3,7,4,5,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[6,7,3,5,8,4,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[5,7,8,3,6,2,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[5,8,3,6,7,2,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[6,3,4,8,7,2,5,1]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[6,3,8,4,7,2,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[6,2,8,4,1,7,5,3]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[6,2,7,4,1,5,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>11
[6,3,4,7,5,8,2,1]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[6,3,5,7,8,4,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[5,7,3,6,8,2,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[5,6,8,3,7,2,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[5,6,7,3,4,1,8,2]=>[[1,2,3,7],[4,5],[6,8]]=>17
[4,6,7,8,3,5,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[4,6,8,3,5,7,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[4,7,3,5,6,8,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[4,7,3,5,8,2,6,1]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[5,3,4,7,8,2,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[5,3,8,2,4,1,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[5,3,4,8,2,6,1,7]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[4,8,3,6,2,5,7,1]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[4,8,3,5,7,2,6,1]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[4,8,3,5,6,7,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[4,7,8,3,5,6,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[4,7,8,3,6,2,5,1]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[4,8,3,6,7,2,5,1]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[4,8,3,7,2,5,6,1]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[5,3,4,8,2,7,6,1]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[5,3,8,2,4,1,7,6]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[5,2,8,4,1,7,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>12
[6,4,2,5,1,8,7,3]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[6,4,3,5,8,2,1,7]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[6,3,5,8,7,2,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[5,8,3,7,2,6,4,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[5,7,3,4,8,2,1,6]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[5,8,4,2,3,1,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[5,8,4,2,3,1,7,6]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[6,4,5,3,8,2,1,7]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[6,4,8,5,3,7,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[6,4,3,8,5,7,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[6,4,2,8,5,3,1,7]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[6,4,2,7,3,1,8,5]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[6,4,3,7,8,5,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[6,4,5,3,7,1,8,2]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[5,7,4,2,3,1,6,8]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[5,6,3,7,1,8,2,4]=>[[1,2,4,6],[3,7,8],[5]]=>14
[5,6,3,4,7,1,8,2]=>[[1,2,5,7],[3,4],[6,8]]=>15
[5,6,3,4,8,2,1,7]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[6,3,5,7,4,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[6,3,5,4,7,8,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>17
[6,4,3,5,7,1,8,2]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[6,4,2,5,1,7,3,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[5,3,7,2,4,1,6,8]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[5,3,4,7,2,6,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[4,7,3,6,2,5,8,1]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[4,7,3,6,8,2,5,1]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[4,6,7,3,5,8,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[4,5,7,8,3,6,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[4,5,8,3,6,7,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[4,5,8,3,7,2,6,1]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[5,3,4,6,8,2,1,7]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[5,3,6,8,2,1,4,7]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[5,3,6,7,1,8,2,4]=>[[1,3,4,6],[2,7,8],[5]]=>11
[5,3,4,6,7,1,8,2]=>[[1,3,4,5,7],[2,8],[6]]=>10
[4,6,3,5,7,8,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[4,5,7,3,6,8,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[4,5,6,8,3,7,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[5,7,4,8,6,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[3,2,6,5,1,8,7,4]=>[[1,3,6],[2,4,7],[5,8]]=>13
[3,5,6,7,2,8,4,1]=>[[1,2,3,4,6],[5,7],[8]]=>16
[7,6,9,8,5,4,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>32
[6,5,4,9,8,7,3,2,1]=>[[1,4],[2,5],[3,6],[7],[8],[9]]=>27
[6,8,5,9,7,4,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8],[9]]=>31
[6,7,8,9,5,4,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>30
[5,4,3,2,9,8,7,6,1]=>[[1,5],[2,6],[3,7],[4,8],[9]]=>20
[5,8,4,3,9,7,6,2,1]=>[[1,2,5],[3,6],[4,7],[8],[9]]=>27
[5,4,7,6,9,8,3,2,1]=>[[1,3,5],[2,4,6],[7],[8],[9]]=>24
[5,7,8,4,9,6,3,2,1]=>[[1,2,3,5],[4,6],[7],[8],[9]]=>28
[5,6,7,8,9,4,3,2,1]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>26
[4,8,3,2,1,9,7,6,5]=>[[1,2,6],[3,7],[4,8],[5,9]]=>21
[4,3,7,6,2,9,8,5,1]=>[[1,3,6],[2,4,7],[5,8],[9]]=>21
[4,7,8,3,2,9,6,5,1]=>[[1,2,3,6],[4,7],[5,8],[9]]=>24
[4,6,3,8,5,9,7,2,1]=>[[1,2,4,6],[3,5,7],[8],[9]]=>24
[4,6,7,8,3,9,5,2,1]=>[[1,2,3,4,6],[5,7],[8],[9]]=>24
[4,5,6,7,8,9,3,2,1]=>[[1,2,3,4,5,6],[7],[8],[9]]=>21
[3,2,1,6,5,4,9,8,7]=>[[1,4,7],[2,5,8],[3,6,9]]=>9
[3,6,2,8,5,1,9,7,4]=>[[1,2,4,7],[3,5,8],[6,9]]=>21
[3,6,7,8,2,1,9,5,4]=>[[1,2,3,4,7],[5,8],[6,9]]=>20
[3,2,5,4,7,6,9,8,1]=>[[1,3,5,7],[2,4,6,8],[9]]=>12
[3,5,7,2,8,4,9,6,1]=>[[1,2,3,5,7],[4,6,8],[9]]=>20
[3,5,6,7,8,2,9,4,1]=>[[1,2,3,4,5,7],[6,8],[9]]=>19
[3,4,5,6,7,8,9,2,1]=>[[1,2,3,4,5,6,7],[8],[9]]=>15
[2,4,6,7,1,8,3,9,5]=>[[1,2,3,4,6,8],[5,7,9]]=>15
[2,4,5,6,7,8,1,9,3]=>[[1,2,3,4,5,6,8],[7,9]]=>13
[8,7,10,9,6,5,4,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>41
[8,9,10,7,6,5,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>42
[7,6,5,10,9,8,4,3,2,1]=>[[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>36
[7,9,6,10,8,5,4,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>40
[7,8,9,10,6,5,4,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>39
[6,5,4,3,10,9,8,7,2,1]=>[[1,5],[2,6],[3,7],[4,8],[9],[10]]=>29
[6,9,5,4,10,8,7,3,2,1]=>[[1,2,5],[3,6],[4,7],[8],[9],[10]]=>36
[6,5,8,7,10,9,4,3,2,1]=>[[1,3,5],[2,4,6],[7],[8],[9],[10]]=>33
[6,8,9,5,10,7,4,3,2,1]=>[[1,2,3,5],[4,6],[7],[8],[9],[10]]=>37
[5,4,3,2,1,10,9,8,7,6]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[5,9,4,3,2,10,8,7,6,1]=>[[1,2,6],[3,7],[4,8],[5,9],[10]]=>30
[5,4,8,7,3,10,9,6,2,1]=>[[1,3,6],[2,4,7],[5,8],[9],[10]]=>30
[5,8,9,4,3,10,7,6,2,1]=>[[1,2,3,6],[4,7],[5,8],[9],[10]]=>33
[5,7,4,9,6,10,8,3,2,1]=>[[1,2,4,6],[3,5,7],[8],[9],[10]]=>33
[5,6,7,8,9,10,4,3,2,1]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>30
[4,3,8,7,2,1,10,9,6,5]=>[[1,3,7],[2,4,8],[5,9],[6,10]]=>25
[4,8,9,3,2,1,10,7,6,5]=>[[1,2,3,7],[4,8],[5,9],[6,10]]=>27
[4,3,2,7,6,5,10,9,8,1]=>[[1,4,7],[2,5,8],[3,6,9],[10]]=>18
[4,7,3,9,6,2,10,8,5,1]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[4,7,8,9,3,2,10,6,5,1]=>[[1,2,3,4,7],[5,8],[6,9],[10]]=>29
[4,3,6,5,8,7,10,9,2,1]=>[[1,3,5,7],[2,4,6,8],[9],[10]]=>21
[4,6,7,8,9,3,10,5,2,1]=>[[1,2,3,4,5,7],[6,8],[9],[10]]=>28
[4,5,6,7,8,9,10,3,2,1]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>24
[3,6,2,1,9,5,4,10,8,7]=>[[1,2,5,8],[3,6,9],[4,7,10]]=>21
[3,2,6,5,8,7,1,10,9,4]=>[[1,3,5,8],[2,4,6,9],[7,10]]=>18
[3,6,8,2,9,5,1,10,7,4]=>[[1,2,3,5,8],[4,6,9],[7,10]]=>26
[3,6,7,8,9,2,1,10,5,4]=>[[1,2,3,4,5,8],[6,9],[7,10]]=>24
[3,5,7,8,2,9,4,10,6,1]=>[[1,2,3,4,6,8],[5,7,9],[10]]=>24
[3,5,6,7,8,9,2,10,4,1]=>[[1,2,3,4,5,6,8],[7,9],[10]]=>22
[3,4,5,6,7,8,9,10,2,1]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>17
[2,4,6,1,8,3,9,5,10,7]=>[[1,2,3,5,7,9],[4,6,8,10]]=>18
[2,4,6,7,8,1,9,3,10,5]=>[[1,2,3,4,5,7,9],[6,8,10]]=>18
[2,4,5,6,7,8,9,1,10,3]=>[[1,2,3,4,5,6,7,9],[8,10]]=>15
[1,6,2,5,3,4,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>11
[1,3,8,2,4,6,5,7]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,7,2,3,6,4,8,5]=>[[1,2,4,5,7],[3,8],[6]]=>12
[1,6,8,2,5,3,7,4]=>[[1,2,3,7],[4,5],[6,8]]=>17
[1,8,2,5,3,4,7,6]=>[[1,2,4,6,7],[3,8],[5]]=>11
[1,8,2,3,6,4,7,5]=>[[1,2,4,5,7],[3,8],[6]]=>12
[1,3,5,2,8,4,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>18
[1,2,7,3,5,4,6,8]=>[[1,2,3,5,7,8],[4],[6]]=>8
[1,8,2,7,3,4,6,5]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[1,5,8,2,3,7,4,6]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,6,8,2,3,5,4,7]=>[[1,2,3,6,8],[4,5],[7]]=>12
[5,3,6,1,2,4,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>7
[7,1,5,8,4,2,3,6]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[8,1,5,7,4,2,3,6]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[7,1,4,5,8,2,3,6]=>[[1,3,4,5],[2,7,8],[6]]=>12
[7,4,1,6,2,8,3,5]=>[[1,4,6,8],[2,5,7],[3]]=>5
[8,4,1,7,2,6,3,5]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[8,1,4,7,5,2,3,6]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[8,1,5,4,7,2,3,6]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[2,1,7,5,8,3,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>8
[7,1,5,4,8,2,3,6]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[7,1,4,8,5,2,3,6]=>[[1,3,4,8],[2,5],[6,7]]=>13
[6,4,1,7,2,3,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>6
[7,8,3,1,2,4,6,5]=>[[1,2,6,7],[3,5],[4,8]]=>12
[8,7,1,6,4,2,3,5]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[8,6,1,7,4,2,3,5]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[7,6,1,8,4,2,3,5]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[7,3,8,1,2,4,6,5]=>[[1,3,6,7],[2,5],[4,8]]=>9
[8,3,7,1,2,4,6,5]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[8,3,6,1,2,4,7,5]=>[[1,3,6,7],[2,5,8],[4]]=>7
[8,3,7,5,1,2,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[7,3,6,1,2,4,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>7
[6,7,1,8,4,2,3,5]=>[[1,2,4,8],[3,5,7],[6]]=>13
[6,8,1,7,4,2,3,5]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[7,1,8,5,4,2,3,6]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[7,1,8,4,5,2,3,6]=>[[1,3,5,8],[2,4],[6,7]]=>12
[2,1,7,8,5,3,4,6]=>[[1,3,4,8],[2,5,7],[6]]=>10
[7,6,3,1,2,4,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[6,1,2,3,8,7,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[6,8,1,4,2,3,7,5]=>[[1,2,6,7],[3,4],[5,8]]=>14
[6,8,3,1,2,7,4,5]=>[[1,2,6,8],[3,5],[4,7]]=>11
[6,7,3,1,2,8,4,5]=>[[1,2,6,8],[3,5,7],[4]]=>8
[6,7,1,4,2,3,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>10
[4,3,6,8,5,7,1,2]=>[[1,3,4],[2,5,6],[7,8]]=>17
[6,1,2,5,4,8,3,7]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[7,2,1,5,8,3,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>7
[1,3,6,8,7,4,2,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[1,2,8,5,7,3,4,6]=>[[1,2,3,5,8],[4,7],[6]]=>12
[2,6,1,5,8,3,4,7]=>[[1,2,5,8],[3,4,7],[6]]=>10
[5,7,1,6,8,4,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[4,8,1,2,5,7,3,6]=>[[1,2,5,6],[3,4,8],[7]]=>12
[8,4,6,2,5,7,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[8,3,6,4,7,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[3,8,1,4,7,2,5,6]=>[[1,2,5,8],[3,4,7],[6]]=>10
[1,7,8,4,6,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[3,7,4,8,5,1,6,2]=>[[1,2,4,7],[3,5],[6,8]]=>16
[3,7,1,6,5,4,8,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[2,7,3,1,5,8,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>13
[2,7,4,6,8,1,3,5]=>[[1,2,4,5],[3,7,8],[6]]=>15
[2,7,5,8,6,4,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[8,2,6,7,5,4,3,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23
[3,8,7,1,6,4,5,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[3,6,8,2,7,4,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[1,5,2,8,7,4,6,3]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[3,4,2,7,8,1,6,5]=>[[1,2,4,5],[3,7],[6,8]]=>16
[4,1,3,7,5,6,8,2]=>[[1,3,4,6,7],[2,5],[8]]=>10
[6,3,8,1,7,4,2,5]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[6,5,8,7,1,4,2,3]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[4,1,7,3,8,5,2,6]=>[[1,3,5,8],[2,4,6],[7]]=>9
[3,6,1,4,5,8,2,7]=>[[1,2,5,6],[3,4,8],[7]]=>12
[1,6,7,4,5,3,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[6,1,7,3,5,4,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[6,3,1,2,5,8,4,7]=>[[1,4,5,6],[2,7,8],[3]]=>9
[1,4,7,2,8,5,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>17
[5,6,8,7,2,4,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[6,8,5,7,1,2,4,3]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[2,8,4,1,7,5,6,3]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[8,2,4,3,7,5,6,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[6,8,2,1,5,7,3,4]=>[[1,2,6],[3,5,8],[4,7]]=>12
[7,2,8,4,1,6,3,5]=>[[1,3,6],[2,4,8],[5,7]]=>12
[1,2,4,8,6,5,3,7]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[7,1,5,6,8,4,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[2,7,8,1,4,6,3,5]=>[[1,2,3],[4,5,6],[7,8]]=>21
[4,8,2,5,7,1,6,3]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[4,1,6,8,5,3,7,2]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[5,2,6,4,8,3,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[6,7,1,3,4,5,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>11
[1,7,3,2,4,8,5,6]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,3,6,5,2,8,4,7]=>[[1,2,3,6],[4,7,8],[5]]=>15
[7,1,6,5,3,4,8,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>15
[6,3,4,2,8,7,5,1]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[4,3,8,7,5,2,6,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[6,8,7,4,2,3,5,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[3,6,4,5,2,8,7,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[8,6,1,3,5,4,2,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[5,3,8,6,1,2,4,7]=>[[1,3,7,8],[2,4],[5,6]]=>10
[2,5,6,3,4,8,7,1]=>[[1,2,3,6],[4,5,7],[8]]=>17
[2,5,3,6,8,7,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[4,8,7,3,5,2,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[3,8,7,2,6,4,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[6,3,5,4,8,7,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[4,3,8,6,1,5,2,7]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[4,7,6,2,5,3,8,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[7,5,2,6,8,1,4,3]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[8,5,2,7,1,4,3,6]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[1,8,5,3,6,2,4,7]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[5,1,7,2,4,3,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>9
[1,5,3,4,8,6,2,7]=>[[1,2,4,5,8],[3,6],[7]]=>12
[5,4,1,3,8,6,2,7]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[5,1,8,6,3,4,2,7]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[4,5,2,8,3,7,6,1]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[8,2,3,7,6,4,5,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>17
[5,8,2,4,7,6,3,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[6,8,2,5,3,4,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[7,2,5,6,4,8,1,3]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[1,6,7,4,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>16
[7,1,3,5,8,2,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>13
[8,2,1,3,5,6,7,4]=>[[1,4,5,6,7],[2,8],[3]]=>7
[6,3,1,4,7,5,8,2]=>[[1,4,5,7],[2,6],[3,8]]=>9
[4,1,3,8,2,6,7,5]=>[[1,3,4,7],[2,6],[5,8]]=>11
[2,8,3,6,7,5,4,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[3,1,7,2,8,5,4,6]=>[[1,3,5,8],[2,4,6],[7]]=>9
[3,6,1,4,7,2,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>11
[1,5,8,4,7,2,3,6]=>[[1,2,3,8],[4,5],[6,7]]=>16
[7,1,3,6,2,8,4,5]=>[[1,3,4,6],[2,7,8],[5]]=>11
[6,2,7,4,5,8,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>14
[2,1,8,4,5,7,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>10
[1,8,5,7,3,2,4,6]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[2,1,8,5,4,3,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[2,7,4,1,5,3,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>12
[7,4,8,6,2,3,1,5]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[2,7,1,4,6,3,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>11
[4,7,5,6,8,1,3,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[7,1,3,2,8,5,4,6]=>[[1,3,5,8],[2,6],[4,7]]=>9
[2,8,5,4,1,3,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[5,1,7,4,2,3,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>8
[3,8,6,5,1,4,2,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[1,3,4,8,6,5,2,7]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[4,1,8,6,5,3,2,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[4,8,5,2,7,3,6,1]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[7,2,8,5,3,6,4,1]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[5,2,8,4,3,7,6,1]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[8,4,7,5,2,3,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[7,5,2,8,4,6,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[5,7,4,3,6,2,8,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[6,7,5,1,2,8,3,4]=>[[1,2,6,8],[3,5,7],[4]]=>8
[5,2,6,8,3,4,7,1]=>[[1,3,4,7],[2,5,6],[8]]=>12
[7,6,2,4,5,8,3,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[3,6,8,4,7,2,5,1]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[7,6,3,8,4,2,5,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[2,6,3,8,4,7,5,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[7,2,3,6,5,8,4,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[6,2,7,5,8,3,1,4]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[2,8,3,6,4,5,7,1]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[2,1,5,6,8,3,7,4]=>[[1,3,4,5],[2,6,7],[8]]=>14
[5,8,1,2,6,4,7,3]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[1,6,8,3,2,7,4,5]=>[[1,2,3,8],[4,6],[5,7]]=>14
[6,5,7,2,8,4,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[7,5,1,2,8,4,6,3]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[5,4,8,3,6,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[5,8,2,7,4,3,6,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[6,4,5,8,2,7,3,1]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[5,7,3,6,4,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[1,5,6,4,8,2,7,3]=>[[1,2,3,5],[4,7],[6,8]]=>17
[3,1,5,6,4,8,7,2]=>[[1,3,4,6],[2,5,7],[8]]=>13
[3,5,1,6,4,7,8,2]=>[[1,2,4,6,7],[3,5],[8]]=>12
[3,6,1,4,2,7,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>10
[1,2,6,4,3,8,5,7]=>[[1,2,3,6,8],[4,7],[5]]=>11
[1,2,6,3,5,8,7,4]=>[[1,2,3,5,6],[4,7],[8]]=>15
[2,3,5,1,8,4,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>18
[2,3,6,1,8,5,4,7]=>[[1,2,3,5],[4,6,8],[7]]=>17
[3,1,7,5,4,8,6,2]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[1,2,7,6,4,8,5,3]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[1,2,7,3,6,8,5,4]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[2,3,6,1,8,5,7,4]=>[[1,2,3,5],[4,6,7],[8]]=>18
[1,2,5,8,4,7,3,6]=>[[1,2,3,4],[5,6],[7,8]]=>20
[1,3,6,8,5,2,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>18
[1,2,6,8,5,4,3,7]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[1,3,5,8,2,4,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>19
[1,4,6,8,3,2,5,7]=>[[1,2,3,4],[5,7,8],[6]]=>17
[1,3,7,5,6,8,2,4]=>[[1,2,3,5,6],[4,8],[7]]=>14
[1,2,6,7,3,8,5,4]=>[[1,2,3,4,6],[5,7],[8]]=>16
[1,2,5,7,3,8,6,4]=>[[1,2,3,4,6],[5,7],[8]]=>16
[3,1,5,7,6,8,4,2]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[3,5,4,6,8,2,7,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[2,3,6,5,8,7,1,4]=>[[1,2,3,5],[4,6],[7,8]]=>19
[1,2,7,5,6,8,4,3]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[3,1,6,7,5,8,4,2]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[4,6,2,7,5,8,3,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[3,5,7,4,8,2,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[2,4,7,6,8,3,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[1,4,6,8,3,5,7,2]=>[[1,2,3,4],[5,6,7],[8]]=>19
[1,3,5,8,2,7,4,6]=>[[1,2,3,4],[5,6,8],[7]]=>18
[1,2,5,8,4,7,6,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[1,2,5,8,7,4,3,6]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[1,3,5,8,7,2,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>17
[5,7,1,2,8,6,4,3]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[6,4,5,7,2,8,1,3]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[5,3,4,7,2,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[3,2,7,4,6,8,1,5]=>[[1,3,5,6],[2,4],[7,8]]=>14
[5,3,6,2,7,1,4,8]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[2,6,3,4,7,1,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>11
[2,7,3,4,5,8,1,6]=>[[1,2,4,5,6],[3,8],[7]]=>13
[3,7,4,5,6,8,1,2]=>[[1,2,4,5,6],[3,8],[7]]=>13
[2,5,7,3,6,8,1,4]=>[[1,2,3,6],[4,5],[7,8]]=>18
[4,7,6,2,3,8,1,5]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[7,3,5,2,4,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[7,6,2,4,5,8,1,3]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[6,5,2,3,4,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[5,3,1,2,8,4,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>9
[6,5,2,3,7,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[5,2,1,7,3,4,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[5,2,1,8,3,4,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>4
[6,3,2,8,4,5,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[7,3,1,2,8,4,6,5]=>[[1,4,5,7],[2,6],[3,8]]=>9
[6,4,1,3,8,5,7,2]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[6,2,3,1,8,4,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>10
[8,3,5,2,7,1,4,6]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[8,6,2,4,7,1,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[8,5,2,3,6,1,4,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[8,2,1,7,3,4,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>4
[8,6,3,7,2,4,5,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[7,1,6,2,3,4,5,8]=>[[1,3,5,6,7,8],[2],[4]]=>4
[8,2,7,3,4,5,6,1]=>[[1,3,5,6,7],[2],[4],[8]]=>11
[8,1,6,2,3,4,5,7]=>[[1,3,5,6,7,8],[2],[4]]=>4
[8,1,7,3,4,5,6,2]=>[[1,3,5,6,7],[2],[4],[8]]=>11
[8,6,1,7,2,4,5,3]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[8,1,5,7,2,3,6,4]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[1,7,5,8,2,3,6,4]=>[[1,2,4,7],[3,6],[5,8]]=>14
[7,2,1,8,3,4,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>4
[7,3,8,2,4,5,6,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[7,2,8,3,4,5,6,1]=>[[1,3,5,6,7],[2,4],[8]]=>9
[1,7,8,3,4,5,6,2]=>[[1,2,3,6,7],[4,5],[8]]=>13
[1,4,5,8,3,6,7,2]=>[[1,2,3,4,7],[5,6],[8]]=>15
[2,5,7,1,8,3,6,4]=>[[1,2,3,5],[4,6,7],[8]]=>18
[6,2,7,1,8,4,5,3]=>[[1,3,5],[2,6,7],[4,8]]=>12
[4,7,1,3,8,5,6,2]=>[[1,2,5,7],[3,4,6],[8]]=>12
[1,6,2,8,4,5,7,3]=>[[1,2,4,6,7],[3,5],[8]]=>12
[4,1,3,6,8,2,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>13
[5,3,4,6,8,2,7,1]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[4,6,3,8,7,1,2,5]=>[[1,2,4],[3,5,8],[6,7]]=>18
[6,4,5,8,7,1,2,3]=>[[1,3,4],[2,5,8],[6,7]]=>15
[5,3,4,8,7,1,2,6]=>[[1,3,4],[2,5,8],[6,7]]=>15
[3,2,8,7,1,4,6,5]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[3,1,8,7,2,4,6,5]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[5,3,7,6,1,2,4,8]=>[[1,3,7,8],[2,4],[5,6]]=>10
[1,8,3,7,2,4,5,6]=>[[1,2,4,7,8],[3,6],[5]]=>9
[3,8,1,7,2,4,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>8
[6,8,2,3,5,1,4,7]=>[[1,2,5,8],[3,4],[6,7]]=>14
[4,7,8,2,6,1,3,5]=>[[1,2,3],[4,5,8],[6,7]]=>19
[6,2,8,7,1,4,5,3]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[3,8,7,1,4,5,6,2]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[2,8,6,1,3,4,5,7]=>[[1,2,6,7,8],[3,5],[4]]=>7
[2,7,6,1,3,4,5,8]=>[[1,2,6,7,8],[3,5],[4]]=>7
[1,7,6,2,3,4,5,8]=>[[1,2,5,6,7,8],[3],[4]]=>5
[1,8,6,2,3,4,5,7]=>[[1,2,5,6,7,8],[3],[4]]=>5
[2,8,7,3,4,5,6,1]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[3,8,7,2,4,5,6,1]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[7,8,3,6,2,4,5,1]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[1,5,8,7,2,3,6,4]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[8,7,6,1,3,4,5,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[3,6,2,4,7,1,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>11
[3,4,7,2,5,1,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>15
[2,1,6,4,8,5,3,7]=>[[1,3,5,8],[2,4,6],[7]]=>9
[4,1,8,5,3,2,7,6]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[3,6,2,5,7,1,4,8]=>[[1,2,5,8],[3,4],[6,7]]=>14
[1,2,8,3,7,5,4,6]=>[[1,2,3,5,8],[4],[6],[7]]=>14
[6,1,3,2,8,5,4,7]=>[[1,3,5,8],[2,6],[4,7]]=>9
[5,6,1,2,8,4,3,7]=>[[1,2,5,8],[3,4,6],[7]]=>11
[1,6,3,8,7,4,2,5]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[4,3,8,1,2,6,7,5]=>[[1,3,6,7],[2,5],[4,8]]=>9
[1,8,10,6,9,4,7,2,5,3]=>[[1,2,3],[4,5],[6,7],[8,9],[10]]=>39
[1,2,7,10,5,9,3,8,6,4]=>[[1,2,3,4],[5,6],[7,8],[9],[10]]=>37
[1,2,3,6,10,4,9,8,7,5]=>[[1,2,3,4,5],[6,7],[8],[9],[10]]=>34
[1,2,3,4,5,10,9,8,7,6]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>30
[11,12,9,10,7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>60
[3,1,2,4,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>1
[2,4,1,3,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3,4]]=>4
[2,3,5,1,4,6,7,8,9]=>[[1,2,3,6,7,8,9],[4,5]]=>6
[2,3,4,6,1,5,7,8,9]=>[[1,2,3,4,7,8,9],[5,6]]=>8
[2,3,4,5,7,1,6,8,9]=>[[1,2,3,4,5,8,9],[6,7]]=>10
[2,3,4,5,6,8,1,7,9]=>[[1,2,3,4,5,6,9],[7,8]]=>12
[3,6,8,7,1,2,5,4]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[6,5,7,2,4,8,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[3,4,1,6,5,8,7,2]=>[[1,2,4,6],[3,5,7],[8]]=>16
[3,5,1,2,4,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>13
[3,7,5,2,1,4,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[3,8,5,2,7,4,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[5,2,8,4,7,3,1,6]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[5,2,7,4,1,3,6,8]=>[[1,3,7,8],[2,4],[5,6]]=>10
[4,3,5,1,2,8,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>10
[3,1,4,6,2,8,7,5]=>[[1,3,4,6],[2,5,7],[8]]=>13
[1,4,6,5,2,8,7,3]=>[[1,2,3,6],[4,7],[5,8]]=>16
[3,4,5,6,1,8,7,2]=>[[1,2,3,4,6],[5,7],[8]]=>16
[3,4,5,8,7,2,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[1,4,7,2,6,3,5,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[8,4,7,5,2,1,6,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[8,1,4,7,2,3,6,5]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[1,8,5,7,3,4,6,2]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[6,3,5,1,7,4,2,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[6,1,4,8,7,3,2,5]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[6,4,8,5,7,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>13
[5,4,8,1,6,3,2,7]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[1,4,8,6,3,7,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[5,4,7,6,3,8,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[4,6,3,7,5,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>17
[4,1,3,5,8,6,2,7]=>[[1,3,4,5,8],[2,6],[7]]=>10
[5,7,4,3,8,1,2,6]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[1,4,8,3,7,6,5,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[4,3,8,2,1,6,5,7]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[3,8,4,2,7,1,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[3,1,2,5,7,6,4,8]=>[[1,3,4,5,8],[2,6],[7]]=>10
[1,8,2,7,6,5,4,3]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[3,8,1,6,7,5,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[3,7,2,6,8,5,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[7,2,3,8,5,6,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>15
[8,2,1,7,5,6,4,3]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[8,1,3,6,5,7,4,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[8,2,4,3,6,1,5,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[1,7,8,5,4,3,6,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[1,8,4,5,3,2,6,7]=>[[1,2,4,7,8],[3],[5],[6]]=>11
[7,8,5,4,3,1,6,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>19
[7,1,6,3,4,2,5,8]=>[[1,3,5,7,8],[2],[4],[6]]=>9
[6,8,7,1,4,2,5,3]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[3,6,1,4,2,7,5,8]=>[[1,2,6,8],[3,4,7],[5]]=>9
[3,4,1,8,5,7,6,2]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[3,6,5,1,2,8,4,7]=>[[1,2,6,8],[3,5,7],[4]]=>8
[3,8,5,6,7,2,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[8,1,7,6,2,4,3,5]=>[[1,3,6,8],[2],[4],[5],[7]]=>14
[8,5,6,1,4,2,3,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[8,6,5,4,7,1,3,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[1,6,4,5,7,2,3,8]=>[[1,2,4,5,8],[3,7],[6]]=>11
[8,3,6,1,7,2,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>8
[1,8,6,5,7,3,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[1,7,5,3,6,8,4,2]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[7,4,1,6,5,8,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[4,1,5,8,7,6,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[1,2,5,8,6,7,3,4]=>[[1,2,3,4,6],[5,8],[7]]=>15
[4,2,1,5,8,7,3,6]=>[[1,4,5],[2,6,8],[3,7]]=>10
[5,2,4,6,1,7,3,8]=>[[1,3,4,6,8],[2,7],[5]]=>8
[1,5,3,6,8,7,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[3,5,4,6,1,8,2,7]=>[[1,2,4,6],[3,7,8],[5]]=>14
[3,1,5,7,6,8,2,4]=>[[1,3,4,6],[2,5,8],[7]]=>12
[1,4,5,6,8,7,2,3]=>[[1,2,3,4,5],[6,8],[7]]=>16
[1,4,6,3,7,2,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>13
[1,7,3,6,5,2,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[8,6,2,5,4,1,7,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[3,7,2,6,5,4,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[7,6,2,5,4,3,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>18
[4,7,5,2,6,3,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[3,2,6,4,7,5,1,8]=>[[1,3,5,8],[2,4,6],[7]]=>9
[6,2,3,7,5,4,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[1,3,4,7,6,2,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>14
[2,8,3,6,1,7,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[8,7,2,5,1,6,4,3]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[3,8,2,6,5,1,7,4]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[7,8,2,5,4,1,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[4,8,5,2,6,1,7,3]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[4,5,1,3,7,2,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>11
[6,1,3,7,5,2,8,4]=>[[1,3,4,7],[2,5],[6,8]]=>14
[7,1,3,6,2,8,5,4]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[8,1,3,6,2,7,5,4]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[1,2,4,7,3,8,6,5]=>[[1,2,3,4,6],[5,7],[8]]=>16
[7,1,8,2,6,5,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[3,1,8,6,2,7,5,4]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[4,1,7,8,2,6,5,3]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[5,6,1,8,2,7,4,3]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[4,2,7,8,1,6,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[3,2,8,6,1,7,5,4]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[7,2,8,1,6,5,4,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[1,8,7,2,6,5,4,3]=>[[1,2,5],[3],[4],[6],[7],[8]]=>23
[2,8,7,1,6,5,4,3]=>[[1,2],[3,5],[4],[6],[7],[8]]=>25
[3,8,7,1,6,5,4,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>25
[4,8,7,5,1,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[6,7,8,5,1,4,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[5,6,3,8,4,1,7,2]=>[[1,2,4],[3,5,7],[6,8]]=>19
[7,3,8,5,4,1,6,2]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[3,4,8,6,5,1,7,2]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[8,3,7,5,1,6,4,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[1,4,8,6,2,7,5,3]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[8,4,6,7,1,5,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[5,6,4,7,8,1,3,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[3,4,6,5,1,2,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>14
[7,3,5,1,2,8,6,4]=>[[1,3,6],[2,5,7],[4,8]]=>10
[1,4,6,2,3,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>17
[1,3,2,7,4,8,6,5]=>[[1,2,4,6],[3,5,7],[8]]=>16
[7,2,1,6,3,8,5,4]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[2,3,1,7,6,4,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>14
[4,5,2,1,7,3,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>12
[5,6,7,1,2,8,4,3]=>[[1,2,3,6],[4,5,7],[8]]=>17
[4,7,5,1,2,8,6,3]=>[[1,2,6],[3,5,7],[4,8]]=>13
[3,7,1,6,2,8,5,4]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[7,6,1,2,8,5,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[2,7,1,3,8,6,5,4]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[8,6,1,2,7,5,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[1,7,2,3,8,6,5,4]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[8,7,1,2,6,5,4,3]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21
[7,8,1,2,6,5,4,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[3,8,1,6,2,7,5,4]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[4,8,5,1,2,7,6,3]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[5,6,8,1,2,7,4,3]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[2,1,3,7,4,8,6,5]=>[[1,3,4,6],[2,5,7],[8]]=>13
[4,2,7,3,6,8,1,5]=>[[1,3,5,6],[2,4],[7,8]]=>14
[5,3,6,4,2,8,1,7]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[4,1,5,3,8,2,7,6]=>[[1,3,5],[2,4,7],[6,8]]=>14
[5,2,6,4,7,3,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[2,6,3,4,7,5,1,8]=>[[1,2,4,5,8],[3,6],[7]]=>12
[2,6,3,5,4,8,1,7]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[2,7,4,3,5,8,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[7,3,6,4,2,8,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[7,6,4,5,2,8,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[5,4,3,1,8,2,7,6]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[6,5,4,2,7,3,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[5,4,1,7,2,6,3,8]=>[[1,4,6,8],[2,5],[3,7]]=>7
[5,4,1,8,3,2,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[6,5,2,8,3,4,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[7,4,2,1,8,3,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[6,5,3,4,8,2,7,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[6,1,5,3,8,2,7,4]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[4,6,3,1,8,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>16
[5,8,4,2,7,3,1,6]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[8,2,6,4,7,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[8,6,2,5,7,4,1,3]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[8,5,3,2,6,4,1,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[8,3,1,7,2,5,4,6]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[7,5,2,6,4,3,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[7,1,6,2,5,4,3,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>15
[8,1,7,3,5,6,4,2]=>[[1,3,5,6],[2],[4],[7],[8]]=>17
[8,6,1,7,4,5,2,3]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[8,1,3,7,2,6,5,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[1,7,6,8,3,2,4,5]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[7,1,5,8,4,2,6,3]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[7,3,8,4,5,2,6,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[7,2,8,5,3,4,6,1]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[6,1,8,4,3,2,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[6,1,7,4,2,5,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>11
[1,2,7,3,4,6,5,8]=>[[1,2,3,5,6,8],[4],[7]]=>9
[1,7,8,4,3,5,6,2]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[1,6,2,8,3,5,7,4]=>[[1,2,4,6,7],[3,5],[8]]=>12
[2,6,1,7,3,5,4,8]=>[[1,2,4,8],[3,5,6],[7]]=>14
[3,1,5,8,4,2,6,7]=>[[1,3,4,8],[2,5,7],[6]]=>10
[4,3,1,6,8,2,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>11
[5,7,4,8,3,2,1,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[5,4,8,2,7,3,1,6]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[5,2,8,7,3,4,1,6]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[6,4,7,5,3,2,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[1,8,3,7,6,2,4,5]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[5,8,3,2,6,4,1,7]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[6,8,2,4,7,5,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[7,3,8,2,6,4,1,5]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[4,6,8,2,7,3,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[2,6,8,7,3,4,1,5]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[7,2,8,6,3,5,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[6,8,1,7,2,5,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[3,8,7,4,5,6,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[2,8,6,4,3,5,1,7]=>[[1,2,6,8],[3],[4],[5],[7]]=>15
[2,7,6,3,5,4,1,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>16
[1,7,6,5,2,4,3,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>15
[1,8,6,5,3,2,4,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[3,8,7,4,6,2,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[5,8,3,7,6,2,4,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>24
[7,1,8,6,5,2,3,4]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[8,4,7,5,3,2,1,6]=>[[1,3,8],[2],[4],[5],[6],[7]]=>19
[8,7,2,5,4,3,1,6]=>[[1,4,8],[2],[3],[5],[6],[7]]=>18
[6,8,3,2,5,4,7,1]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[1,5,7,8,4,3,6,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[6,3,8,1,5,4,7,2]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[6,2,1,8,5,4,7,3]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[2,6,5,7,4,1,3,8]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[2,5,6,8,4,3,7,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[2,5,4,7,1,8,6,3]=>[[1,2,4,6],[3,7],[5,8]]=>15
[5,2,1,8,7,6,4,3]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[4,8,6,7,5,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[6,5,4,8,2,1,7,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>15
[5,8,4,7,2,6,3,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[5,8,3,2,7,6,4,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[5,2,1,4,3,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[3,5,7,4,2,6,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[4,2,1,6,5,3,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>6
[4,2,1,5,7,6,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>8
[3,5,4,7,1,6,2,8]=>[[1,2,4,8],[3,6],[5,7]]=>13
[3,4,5,8,6,7,1,2]=>[[1,2,3,4,6],[5,8],[7]]=>15
[4,3,5,1,6,8,7,2]=>[[1,3,5,6],[2,7],[4,8]]=>11
[4,3,2,1,7,6,5,9,8,10]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[7,3,2,1,6,5,4,9,8,10]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[4,3,2,1,9,6,5,8,7,10]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[6,3,2,1,9,5,4,8,7,10]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[9,3,2,1,8,5,4,7,6,10]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[6,5,2,1,9,4,3,8,7,10]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[9,5,2,1,8,4,3,7,6,10]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[4,3,2,1,7,6,5,10,8,9]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[7,3,2,1,6,5,4,10,8,9]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[4,3,2,1,8,6,5,10,7,9]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[6,3,2,1,8,5,4,10,7,9]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[8,3,2,1,7,5,4,10,6,9]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[6,5,2,1,8,4,3,10,7,9]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[8,5,2,1,7,4,3,10,6,9]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[4,3,2,1,10,6,5,9,7,8]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[6,3,2,1,10,5,4,9,7,8]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[7,3,2,1,10,5,4,9,6,8]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[10,3,2,1,9,5,4,8,6,7]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[6,5,2,1,10,4,3,9,7,8]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[7,5,2,1,10,4,3,9,6,8]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[10,5,2,1,9,4,3,8,6,7]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[4,3,2,1,8,7,5,10,6,9]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[5,3,2,1,8,7,4,10,6,9]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[8,3,2,1,7,6,4,10,5,9]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[5,4,2,1,8,7,3,10,6,9]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[8,4,2,1,7,6,3,10,5,9]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[4,3,2,1,10,7,5,9,6,8]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[5,3,2,1,10,7,4,9,6,8]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[7,3,2,1,10,6,4,9,5,8]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[10,3,2,1,9,6,4,8,5,7]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[5,4,2,1,10,7,3,9,6,8]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[7,4,2,1,10,6,3,9,5,8]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[10,4,2,1,9,6,3,8,5,7]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[7,6,2,1,10,5,3,9,4,8]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[10,6,2,1,9,5,3,8,4,7]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[5,4,3,1,8,7,2,10,6,9]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[8,4,3,1,7,6,2,10,5,9]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[5,4,3,1,10,7,2,9,6,8]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[7,4,3,1,10,6,2,9,5,8]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[10,4,3,1,9,6,2,8,5,7]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[7,6,3,1,10,5,2,9,4,8]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[10,6,3,1,9,5,2,8,4,7]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[10,3,1,5,2,7,4,9,6,8]=>[[1,4,6,8,10],[2,5,7,9],[3]]=>6
[10,9,4,1,6,2,8,3,5,7]=>[[1,5,7,9,10],[2,6,8],[3],[4]]=>8
[10,9,8,5,1,7,2,3,4,6]=>[[1,6,8,9,10],[2,7],[3],[4],[5]]=>11
[2,4,6,8,1,3,5,7,9]=>[[1,2,3,4,9],[5,6,7,8]]=>16
[8,7,6,5,4,3,2,10,1,9]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>30
[6,5,4,10,3,9,2,8,1,7]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>27
[6,5,4,3,2,8,10,1,7,9]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>21
[4,8,3,7,2,6,10,1,5,9]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>27
[4,3,2,6,8,10,1,5,7,9]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>18
[2,1,7,3,8,4,6,5]=>[[1,3,5,7],[2,4,6],[8]]=>10
[4,1,8,2,7,3,6,5]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[4,1,7,2,8,3,6,5]=>[[1,3,5,7],[2,4,6],[8]]=>10
[7,1,3,2,8,4,6,5]=>[[1,3,5,7],[2,6],[4,8]]=>10
[7,1,8,2,4,3,6,5]=>[[1,3,5,7],[2,4],[6,8]]=>13
[8,1,7,2,5,3,6,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[7,1,5,2,8,3,6,4]=>[[1,3,5,7],[2,6],[4,8]]=>10
[5,1,7,2,8,3,6,4]=>[[1,3,5,7],[2,4,6],[8]]=>10
[5,1,8,2,7,3,6,4]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[5,1,8,2,4,3,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>13
[8,1,6,2,4,3,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[6,1,8,2,4,3,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>13
[6,1,8,2,5,3,7,4]=>[[1,3,5,7],[2,4],[6,8]]=>13
[8,1,6,2,5,3,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,1,6,2,7,3,5,4]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[6,1,8,2,7,3,5,4]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[6,1,7,2,8,3,5,4]=>[[1,3,5,7],[2,4,6],[8]]=>10
[6,1,7,2,5,3,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>9
[6,1,7,2,4,3,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>9
[5,1,6,2,4,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>9
[7,1,5,2,4,3,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[7,1,6,2,4,3,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[7,1,6,2,5,3,8,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[7,1,6,2,8,3,5,4]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[7,1,8,2,6,3,5,4]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[1,8,2,7,5,4,6,3]=>[[1,2,4,7],[3],[5],[6],[8]]=>18
[1,8,2,7,4,3,5,6]=>[[1,2,4,7,8],[3],[5],[6]]=>11
[1,8,6,4,7,2,3,5]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[1,8,4,2,6,3,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>8
[7,4,8,1,5,2,3,6]=>[[1,3,7,8],[2,5],[4,6]]=>7
[4,1,7,2,6,3,5,8]=>[[1,3,5,7,8],[2,4],[6]]=>7
[5,1,7,4,3,6,2,8]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[7,5,8,3,2,4,1,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[1,8,5,4,3,6,2,7]=>[[1,2,6,8],[3],[4],[5],[7]]=>15
[1,8,5,4,3,7,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[1,8,5,4,7,2,6,3]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[1,8,4,2,5,3,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>12
[1,8,5,4,2,6,7,3]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[7,4,8,2,1,3,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[4,1,7,3,2,5,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[7,5,4,8,2,3,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[3,1,7,2,6,8,4,5]=>[[1,3,5,6],[2,4,8],[7]]=>10
[5,1,7,4,2,6,8,3]=>[[1,3,6,7],[2,4],[5,8]]=>12
[4,1,6,3,2,5,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>8
[4,3,1,6,2,5,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[6,5,4,3,7,1,8,2]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[6,5,1,7,3,8,2,4]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[6,3,2,8,5,7,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[6,5,4,3,8,2,7,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[6,5,4,3,8,7,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[7,6,3,8,5,4,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[5,4,8,2,1,7,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[6,4,2,8,5,1,3,7]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[7,6,4,8,5,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[7,2,8,6,3,1,4,5]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[7,2,8,6,1,5,3,4]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[2,1,7,8,3,6,4,5]=>[[1,3,4,8],[2,5,6],[7]]=>11
[6,4,1,7,8,2,3,5]=>[[1,4,5,8],[2,6,7],[3]]=>7
[4,2,1,6,7,3,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>7
[4,3,1,5,2,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>5
[5,4,2,7,3,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[4,1,5,3,2,8,6,7]=>[[1,3,6,8],[2,4,7],[5]]=>7
[3,1,6,2,8,7,4,5]=>[[1,3,5,8],[2,4,6],[7]]=>9
[6,3,1,7,8,5,2,4]=>[[1,4,5],[2,6,8],[3,7]]=>10
[6,5,4,1,7,8,3,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[5,4,3,1,6,7,2,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[6,5,4,2,7,8,3,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[5,4,2,6,3,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[4,3,1,5,2,6,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>6
[5,4,2,1,6,7,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[5,4,3,1,6,7,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[6,3,8,1,2,5,7,4]=>[[1,3,6,7],[2,5],[4,8]]=>9
[3,6,7,1,2,5,8,4]=>[[1,2,3,7],[4,5,6],[8]]=>16
[7,8,3,1,2,5,6,4]=>[[1,2,6,7],[3,5],[4,8]]=>12
[7,8,1,3,2,4,6,5]=>[[1,2,6,7],[3,4],[5,8]]=>14
[7,8,2,1,3,5,4,6]=>[[1,2,6,8],[3,5],[4,7]]=>11
[5,2,3,7,1,8,6,4]=>[[1,3,4,6],[2,7],[5,8]]=>12
[2,5,3,6,1,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>15
[2,6,7,3,1,8,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>15
[2,6,7,1,3,5,4,8]=>[[1,2,3,8],[4,5,6],[7]]=>15
[6,2,8,3,1,7,4,5]=>[[1,3,6,8],[2,4],[5,7]]=>11
[3,2,5,7,1,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>11
[4,3,1,2,7,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>10
[5,1,2,7,3,6,4,8]=>[[1,3,4,6,8],[2,5],[7]]=>9
[5,1,4,7,8,2,3,6]=>[[1,3,4,5],[2,7,8],[6]]=>12
[5,3,4,7,8,6,1,2]=>[[1,3,4,5],[2,6],[7,8]]=>16
[3,5,4,6,8,7,1,2]=>[[1,2,4,5],[3,6],[7,8]]=>18
[1,5,4,6,8,2,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>15
[1,6,7,3,2,4,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>14
[1,5,3,6,2,7,8,4]=>[[1,2,4,6,7],[3,8],[5]]=>11
[5,1,3,7,2,6,8,4]=>[[1,3,4,7],[2,6],[5,8]]=>11
[5,2,4,7,8,1,6,3]=>[[1,3,4,5],[2,7],[6,8]]=>13
[4,2,5,7,6,1,8,3]=>[[1,3,4,7],[2,5],[6,8]]=>14
[4,5,2,8,6,1,7,3]=>[[1,2,4,7],[3,5],[6,8]]=>16
[5,3,1,8,2,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>8
[6,1,8,3,2,4,7,5]=>[[1,3,6,7],[2,4],[5,8]]=>12
[4,3,5,7,6,8,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>15
[4,1,5,7,6,2,3,8]=>[[1,3,4,8],[2,5,7],[6]]=>10
[4,5,1,8,6,2,3,7]=>[[1,2,4,8],[3,5,7],[6]]=>13
[5,2,1,8,3,6,4,7]=>[[1,4,6,8],[2,5],[3,7]]=>7
[3,4,2,1,8,7,5,6]=>[[1,2,5,8],[3,6],[4,7]]=>12
[7,6,5,4,2,1,8,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[7,6,5,4,8,1,3,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[8,7,6,5,4,2,1,9,3]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>22
[7,6,5,8,2,1,4,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>15
[8,7,6,5,3,2,1,9,4]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>22
[8,7,6,4,3,2,1,9,5]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>22
[8,7,5,4,3,2,1,9,6]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>22
[8,5,4,3,2,1,7,6]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[8,6,5,4,3,2,1,9,7]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>22
[7,6,5,4,3,2,1,9,8]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>22
[7,6,5,4,1,8,3,2]=>[[1,6],[2,7],[3],[4],[5],[8]]=>18
[9,8,7,6,5,4,2,1,10,3]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>29
[7,6,5,2,8,1,4,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>14
[9,8,7,6,5,3,2,1,10,4]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>29
[7,6,5,8,4,1,3,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>20
[9,8,7,6,4,3,2,1,10,5]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>29
[7,6,8,5,2,1,4,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[9,8,7,5,4,3,2,1,10,6]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>29
[7,8,6,3,2,1,5,4]=>[[1,2],[3,7],[4,8],[5],[6]]=>19
[9,8,6,5,4,3,2,1,10,7]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>29
[8,7,4,3,2,1,6,5]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[9,6,5,4,3,2,1,8,7]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>22
[9,7,6,5,4,3,2,1,10,8]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>29
[7,8,2,4,5,1,3,6]=>[[1,2,5,8],[3,4],[6,7]]=>14
[4,6,7,2,5,1,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>16
[7,8,1,3,2,4,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>8
[7,8,4,1,5,2,3,6]=>[[1,2,7,8],[3,5],[4,6]]=>10
[3,6,7,2,1,4,5,8]=>[[1,2,3,8],[4,6,7],[5]]=>13
[5,2,3,6,1,4,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>7
[2,5,3,6,1,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[2,6,7,3,1,4,5,8]=>[[1,2,3,7,8],[4,6],[5]]=>10
[4,6,7,1,5,2,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>14
[4,6,7,3,5,8,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>18
[6,4,7,1,5,2,3,8]=>[[1,3,7,8],[2,5],[4,6]]=>7
[6,2,7,3,1,4,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[3,2,5,6,1,4,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>7
[3,5,2,6,1,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[5,1,4,6,7,2,3,8]=>[[1,3,4,5,8],[2,7],[6]]=>9
[3,5,4,6,7,8,1,2]=>[[1,2,4,5,6],[3,8],[7]]=>13
[1,5,4,6,7,2,3,8]=>[[1,2,4,5,8],[3,7],[6]]=>11
[1,6,7,3,2,4,5,8]=>[[1,2,3,7,8],[4,6],[5]]=>10
[1,5,3,6,2,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[5,1,3,6,2,4,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>7
[5,2,4,6,7,1,3,8]=>[[1,3,4,5,8],[2,7],[6]]=>9
[2,5,4,6,7,1,3,8]=>[[1,2,4,5,8],[3,7],[6]]=>11
[2,6,7,4,5,1,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>16
[6,2,7,4,5,1,3,8]=>[[1,3,5,8],[2,4],[6,7]]=>12
[4,2,5,6,7,1,3,8]=>[[1,3,4,5,8],[2,7],[6]]=>9
[4,5,2,6,7,1,3,8]=>[[1,2,4,5,8],[3,7],[6]]=>11
[5,3,1,6,2,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[6,1,7,3,2,4,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[6,1,7,4,5,2,3,8]=>[[1,3,5,8],[2,4],[6,7]]=>12
[6,3,7,4,5,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>14
[5,4,1,6,7,2,3,8]=>[[1,4,5,8],[2,6,7],[3]]=>7
[5,2,1,6,3,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[7,3,2,5,4,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[7,3,5,4,2,1,6,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>13
[7,3,5,2,4,1,6,8]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[7,6,5,2,1,4,3,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[1,3,6,7,5,2,8,4]=>[[1,2,3,4,7],[5,8],[6]]=>14
[7,3,4,1,6,2,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>8
[7,3,4,1,6,5,2,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[7,3,4,1,5,6,2,8]=>[[1,3,5,6,8],[2,7],[4]]=>7
[7,3,2,5,1,6,4,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[7,6,5,4,1,3,2,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16
[7,3,4,1,5,2,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>6
[1,3,6,7,2,5,8,4]=>[[1,2,3,4,7],[5,6],[8]]=>15
[1,7,4,6,2,8,5,3]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[4,3,1,7,2,6,8,5]=>[[1,4,6,7],[2,5],[3,8]]=>8
[5,6,1,4,7,3,8,2]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[5,3,2,1,7,4,8,6]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[1,3,4,5,8,7,2,6]=>[[1,2,3,4,5],[6,8],[7]]=>16
[6,3,4,5,8,1,7,2]=>[[1,3,4,5],[2,7],[6,8]]=>13
[2,4,5,1,6,8,7,3]=>[[1,2,3,5,6],[4,7],[8]]=>15
[3,1,2,5,6,8,7,4]=>[[1,3,4,5,6],[2,7],[8]]=>12
[4,3,2,5,6,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[3,7,5,4,6,8,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[3,1,4,6,5,8,2,7]=>[[1,3,4,6],[2,5,8],[7]]=>12
[2,3,4,5,8,6,1,7]=>[[1,2,3,4,5,8],[6],[7]]=>11
[2,3,4,5,8,1,7,6]=>[[1,2,3,4,5],[6,7],[8]]=>17
[3,1,4,6,5,8,7,2]=>[[1,3,4,6],[2,5,7],[8]]=>13
[3,7,5,4,6,8,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[5,6,1,4,7,2,8,3]=>[[1,2,5,7],[3,4,8],[6]]=>11
[4,3,1,7,5,6,8,2]=>[[1,4,6,7],[2,5],[3,8]]=>8
[4,3,1,7,6,5,8,2]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[3,1,4,6,7,8,5,2]=>[[1,3,4,5,6],[2,7],[8]]=>12
[1,4,5,2,6,8,7,3]=>[[1,2,3,5,6],[4,7],[8]]=>15
[3,7,5,2,6,8,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[3,7,5,2,6,8,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[5,6,1,2,7,4,8,3]=>[[1,2,5,7],[3,4,6],[8]]=>12
[6,3,5,2,4,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[5,3,2,1,4,7,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[5,3,1,4,2,7,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>6
[5,3,1,2,4,7,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>7
[7,1,5,2,6,8,4,3]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[7,1,5,2,6,8,3,4]=>[[1,3,5,6],[2,7,8],[4]]=>10
[1,7,4,6,5,8,3,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>19
[2,7,4,6,1,8,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>14
[2,7,4,6,1,8,5,3]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[2,3,6,7,1,5,8,4]=>[[1,2,3,4,7],[5,6],[8]]=>15
[2,3,6,7,5,1,8,4]=>[[1,2,3,4,7],[5,8],[6]]=>14
[4,3,2,6,7,1,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[7,3,2,5,6,8,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[7,1,5,4,6,8,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[2,7,4,6,5,8,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[7,3,4,5,8,6,1,2]=>[[1,3,4,5],[2,6],[7,8]]=>16
[7,3,4,5,8,1,6,2]=>[[1,3,4,5],[2,7],[6,8]]=>13
[7,3,4,5,8,1,2,6]=>[[1,3,4,5],[2,7,8],[6]]=>12
[1,3,4,5,8,6,2,7]=>[[1,2,3,4,5,8],[6],[7]]=>11
[1,3,4,5,8,2,7,6]=>[[1,2,3,4,5],[6,7],[8]]=>17
[6,3,4,5,8,2,1,7]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[6,3,4,5,8,2,7,1]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[7,3,4,5,8,6,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[2,7,4,6,5,8,3,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>19
[7,1,5,4,6,8,3,2]=>[[1,3,5,6],[2],[4],[7],[8]]=>17
[7,3,2,5,6,8,4,1]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[5,7,4,6,1,8,3,2]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[6,3,4,5,8,1,2,7]=>[[1,3,4,5],[2,7,8],[6]]=>12
[7,3,4,5,8,2,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[7,3,4,5,8,2,6,1]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[4,8,6,1,7,5,2,3]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[4,7,8,2,6,1,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[7,6,4,2,8,3,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[8,6,4,2,7,5,3,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[8,4,7,3,6,5,1,2]=>[[1,3],[2,5],[4,8],[6],[7]]=>18
[8,4,6,1,7,5,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[6,4,7,1,8,3,2,5]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[7,4,8,3,6,1,5,2]=>[[1,3],[2,5],[4,7],[6,8]]=>15
[6,12,5,11,4,10,3,9,2,8,1,7]=>[[1,2],[3,4],[5,6],[7,8],[9,10],[11,12]]=>60
[6,2,1,7,3,5,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>7
[2,1,8,6,3,5,4,7]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[2,1,7,3,5,8,6,4]=>[[1,3,5,6],[2,4,7],[8]]=>11
[2,7,3,1,5,4,6,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[2,6,3,1,4,8,5,7]=>[[1,2,5,6,8],[3,7],[4]]=>9
[4,2,1,8,3,6,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>8
[2,1,8,6,3,5,7,4]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[6,2,1,7,3,5,8,4]=>[[1,4,6,7],[2,5],[3,8]]=>8
[2,7,3,1,4,8,5,6]=>[[1,2,5,6,8],[3,7],[4]]=>9
[3,2,1,6,4,5,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[3,2,1,5,7,8,4,6]=>[[1,4,5,6],[2,7,8],[3]]=>9
[2,1,7,3,6,8,4,5]=>[[1,3,5,6],[2,4,8],[7]]=>10
[2,7,3,1,5,6,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>10
[2,4,7,5,1,6,8,3]=>[[1,2,3,6,7],[4,8],[5]]=>12
[4,3,7,5,6,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>13
[4,3,6,8,5,1,7,2]=>[[1,3,4],[2,5,7],[6,8]]=>16
[2,6,1,8,3,5,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>15
[2,1,6,8,3,7,4,5]=>[[1,3,4,8],[2,5,6],[7]]=>11
[2,1,8,3,5,7,4,6]=>[[1,3,5,6],[2,4,8],[7]]=>10
[3,2,1,5,6,8,4,7]=>[[1,4,5,6],[2,7,8],[3]]=>9
[3,2,1,5,7,4,6,8]=>[[1,4,5,8],[2,6,7],[3]]=>7
[2,1,7,3,6,4,5,8]=>[[1,3,5,7,8],[2,4],[6]]=>7
[2,1,6,3,5,8,4,7]=>[[1,3,5,6],[2,4,8],[7]]=>10
[8,2,4,1,7,5,6,3]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[3,8,4,7,5,1,6,2]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[8,4,3,6,1,7,5,2]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[8,2,1,7,3,5,4,6]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[2,6,1,8,3,5,4,7]=>[[1,2,4,8],[3,5,6],[7]]=>14
[2,7,3,1,5,6,4,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[2,4,7,5,1,6,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[8,2,4,1,7,5,3,6]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[5,8,6,3,1,7,4,2]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[2,4,7,1,8,5,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>17
[2,4,8,5,1,6,3,7]=>[[1,2,3,6,8],[4,7],[5]]=>11
[6,2,1,7,3,4,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>6
[6,2,1,7,8,3,5,4]=>[[1,4,5],[2,6,7],[3,8]]=>11
[2,7,1,8,3,5,6,4]=>[[1,2,4,7],[3,5,6],[8]]=>15
[2,1,8,3,6,4,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>7
[3,2,1,6,7,4,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>7
[3,2,1,7,4,5,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[3,2,1,6,8,4,5,7]=>[[1,4,5,8],[2,6,7],[3]]=>7
[2,1,8,3,7,4,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>7
[2,1,8,3,6,7,4,5]=>[[1,3,5,6],[2,4,8],[7]]=>10
[2,4,8,5,1,6,7,3]=>[[1,2,3,6,7],[4,8],[5]]=>12
[4,3,8,5,6,1,7,2]=>[[1,3,5,7],[2,4],[6,8]]=>13
[3,2,1,8,4,5,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>4
[1,6,8,3,7,2,4,5]=>[[1,2,3,8],[4,5],[6,7]]=>16
[3,8,1,5,7,2,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>10
[1,2,6,8,4,7,3,5]=>[[1,2,3,4],[5,6],[7,8]]=>20
[6,1,5,8,2,4,7,3]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[1,2,4,8,3,6,7,5]=>[[1,2,3,4,7],[5,6],[8]]=>15
[4,1,2,7,8,3,6,5]=>[[1,3,4,5],[2,6,7],[8]]=>14
[3,5,7,4,8,6,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>19
[5,3,8,4,7,6,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[8,7,1,2,5,4,6,3]=>[[1,4,5,7],[2],[3],[6],[8]]=>15
[5,8,1,2,3,7,6,4]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[1,2,8,4,3,5,7,6]=>[[1,2,3,6,7],[4,8],[5]]=>12
[1,2,5,3,7,6,4,8]=>[[1,2,3,5,8],[4,6],[7]]=>13
[6,1,2,8,7,4,5,3]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[7,1,6,2,8,4,5,3]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[1,2,6,3,8,5,4,7]=>[[1,2,3,5,8],[4,6],[7]]=>13
[1,2,8,5,3,6,4,7]=>[[1,2,3,6,8],[4,7],[5]]=>11
[1,2,7,3,8,5,4,6]=>[[1,2,3,5,8],[4,6],[7]]=>13
[4,1,2,7,8,6,3,5]=>[[1,3,4,5],[2,6,8],[7]]=>13
[1,6,2,8,4,3,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,6,4,2,7,3,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[1,8,6,3,2,4,5,7]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[1,7,3,2,8,4,5,6]=>[[1,2,5,7,8],[3,6],[4]]=>8
[3,1,7,8,6,2,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>10
[1,8,7,2,4,5,6,3]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[1,8,7,3,5,6,2,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[1,3,2,8,7,4,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,8,3,2,6,4,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>8
[1,7,6,3,2,4,5,8]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[1,2,8,4,3,7,5,6]=>[[1,2,3,6,8],[4,7],[5]]=>11
[8,5,1,7,2,4,6,3]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[5,3,8,7,4,6,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[3,8,6,4,7,5,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[6,1,8,2,7,4,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[1,2,5,3,8,6,4,7]=>[[1,2,3,5,8],[4,6],[7]]=>13
[1,2,7,5,3,6,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[1,2,6,3,7,5,4,8]=>[[1,2,3,5,8],[4,6],[7]]=>13
[1,2,3,7,5,4,8,6]=>[[1,2,3,4,7],[5,8],[6]]=>14
[3,7,4,8,6,5,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[1,8,2,7,6,4,5,3]=>[[1,2,4,7],[3],[5],[6],[8]]=>18
[2,8,7,6,5,1,4,3]=>[[1,2],[3,7],[4],[5],[6],[8]]=>23
[7,1,6,3,2,5,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[2,7,6,3,1,5,8,4]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[1,8,4,3,6,5,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[1,8,4,6,5,3,2,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[7,4,2,1,6,5,3,8]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[7,6,1,4,3,5,2,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>13
[7,4,1,3,5,2,6,8]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[7,3,1,2,4,6,5,8]=>[[1,4,5,6,8],[2,7],[3]]=>6
[1,8,6,3,4,5,2,7]=>[[1,2,5,6,8],[3],[4],[7]]=>11
[1,8,6,7,4,2,5,3]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[3,6,2,1,4,8,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>8
[3,1,7,2,4,6,8,5]=>[[1,3,5,6,7],[2,4],[8]]=>9
[3,4,7,1,5,2,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>15
[3,6,7,4,1,5,8,2]=>[[1,2,3,7],[4,6],[5,8]]=>15
[4,3,2,7,1,5,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[3,1,2,8,6,5,4,7]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[5,4,8,6,1,2,3,7]=>[[1,3,7,8],[2,4],[5,6]]=>10
[5,6,8,7,4,3,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[1,8,2,7,4,3,6,5]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[6,5,8,2,3,7,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[6,4,8,5,3,1,7,2]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[5,7,8,6,1,3,2,4]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[2,4,8,1,6,3,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>15
[3,1,2,8,6,4,7,5]=>[[1,3,4,7],[2,5,8],[6]]=>11
[5,3,2,6,4,8,1,7]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[4,1,6,3,5,8,2,7]=>[[1,3,5,6],[2,4,8],[7]]=>10
[2,4,5,3,8,6,1,7]=>[[1,2,3,5,8],[4,6],[7]]=>13
[1,8,5,3,2,7,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[1,8,4,5,2,6,7,3]=>[[1,2,4,6,7],[3,8],[5]]=>11
[4,1,2,7,6,5,8,3]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[2,4,1,6,7,8,5,3]=>[[1,2,4,5,6],[3,7],[8]]=>14
[1,8,4,3,6,2,7,5]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[5,6,7,3,2,8,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[2,5,7,3,6,8,4,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[5,3,2,1,4,8,6,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[5,3,1,4,2,8,6,7]=>[[1,4,6,8],[2,5,7],[3]]=>5
[7,6,1,3,8,5,4,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[3,4,7,8,1,2,6,5]=>[[1,2,3,4],[5,6,7],[8]]=>19
[3,6,7,8,1,4,5,2]=>[[1,2,3,4],[5,6,7],[8]]=>19
[3,6,2,8,1,5,4,7]=>[[1,2,4],[3,6,8],[5,7]]=>16
[2,3,6,8,5,1,4,7]=>[[1,2,3,4],[5,7,8],[6]]=>17
[3,1,6,4,8,2,5,7]=>[[1,3,5,8],[2,4,7],[6]]=>8
[7,3,2,6,8,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[7,3,5,8,4,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[7,5,2,8,4,1,6,3]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[7,4,5,8,2,1,3,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[1,8,5,2,4,6,3,7]=>[[1,2,5,6,8],[3],[4],[7]]=>11
[1,8,4,2,3,5,7,6]=>[[1,2,5,6,7],[3,8],[4]]=>10
[6,4,2,8,3,5,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[6,3,4,8,2,5,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[7,5,4,8,3,6,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>21
[2,7,4,8,5,3,6,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[7,1,5,4,8,3,6,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[7,3,2,5,8,4,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[8,4,6,3,7,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[7,4,6,3,8,5,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[2,5,6,8,3,4,1,7]=>[[1,2,3,4],[5,6,8],[7]]=>18
[8,4,6,2,7,5,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[8,5,6,7,2,4,3,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[2,5,6,8,4,3,1,7]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[2,5,7,8,4,1,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>17
[6,5,7,8,4,1,3,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[7,5,6,8,2,4,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[7,4,6,2,8,5,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[4,3,2,6,8,5,1,7]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[3,5,6,8,2,4,1,7]=>[[1,2,3,4],[5,6,8],[7]]=>18
[3,5,6,8,4,2,1,7]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[2,6,7,8,1,4,5,3]=>[[1,2,3,4],[5,6,7],[8]]=>19
[3,6,7,8,1,4,2,5]=>[[1,2,3,4],[5,6,8],[7]]=>18
[3,5,7,8,2,1,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>17
[2,6,7,8,1,4,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>18
[6,5,7,8,3,1,4,2]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[2,5,7,8,3,1,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>17
[2,4,7,3,8,1,5,6]=>[[1,2,3,5],[4,7,8],[6]]=>16
[6,4,7,3,8,1,5,2]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[6,4,7,3,8,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[7,4,6,3,8,2,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[6,3,2,5,4,8,1,7]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[6,4,5,2,3,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[6,4,5,3,2,8,1,7]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[5,4,6,3,8,2,1,7]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[5,4,7,3,8,1,6,2]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[2,5,7,8,3,1,6,4]=>[[1,2,3,4],[5,7],[6,8]]=>18
[4,5,7,8,3,1,2,6]=>[[1,2,3,4],[5,7,8],[6]]=>17
[4,5,6,8,2,3,1,7]=>[[1,2,3,4],[5,6,8],[7]]=>18
[5,4,6,2,8,3,1,7]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[5,3,2,6,8,4,1,7]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[5,4,7,2,8,1,3,6]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[4,5,7,8,2,1,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>17
[4,6,7,8,1,3,2,5]=>[[1,2,3,4],[5,6,8],[7]]=>18
[4,6,7,8,1,3,5,2]=>[[1,2,3,4],[5,6,7],[8]]=>19
[2,6,7,8,1,3,5,4]=>[[1,2,3,4],[5,6,7],[8]]=>19
[2,6,7,8,1,5,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>18
[4,6,7,8,1,5,2,3]=>[[1,2,3,4],[5,6,8],[7]]=>18
[4,6,7,8,1,2,5,3]=>[[1,2,3,4],[5,6,7],[8]]=>19
[4,5,7,8,2,1,6,3]=>[[1,2,3,4],[5,7],[6,8]]=>18
[5,4,7,2,8,1,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[5,3,2,7,8,1,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[4,3,2,7,8,1,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[3,5,7,8,2,1,6,4]=>[[1,2,3,4],[5,7],[6,8]]=>18
[3,6,7,8,1,2,5,4]=>[[1,2,3,4],[5,6,7],[8]]=>19
[3,6,7,8,1,5,2,4]=>[[1,2,3,4],[5,6,8],[7]]=>18
[3,6,7,8,1,5,4,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[2,6,7,8,1,5,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[2,4,5,6,7,8,1,3,9]=>[[1,2,3,4,5,6,9],[7,8]]=>12
[1,4,5,6,7,8,2,9,3]=>[[1,2,3,4,5,6,8],[7,9]]=>13
[1,4,5,6,7,8,9,10,2,3]=>[[1,2,3,4,5,6,7,8],[9,10]]=>16
[4,2,7,1,5,3,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>8
[4,2,8,6,1,5,3,7]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[3,2,6,7,5,1,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>13
[2,7,1,3,5,4,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>11
[4,7,2,1,5,8,6,3]=>[[1,2,6],[3,5,7],[4,8]]=>13
[7,2,1,3,5,8,6,4]=>[[1,4,5,6],[2,7],[3,8]]=>10
[2,3,6,4,7,1,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>12
[1,3,4,8,2,7,5,6]=>[[1,2,3,4,8],[5,6],[7]]=>14
[3,1,4,8,2,6,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>12
[8,3,1,6,2,5,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[4,8,6,2,1,5,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[4,8,3,6,5,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[6,4,7,3,5,1,8,2]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[6,4,7,5,1,8,2,3]=>[[1,3,6],[2,4,8],[5,7]]=>12
[3,6,1,7,5,8,2,4]=>[[1,2,4,6],[3,5,8],[7]]=>15
[7,3,5,1,6,8,2,4]=>[[1,3,5,6],[2,7,8],[4]]=>10
[4,7,3,5,6,1,8,2]=>[[1,2,5,7],[3,4],[6,8]]=>15
[3,4,6,8,5,1,7,2]=>[[1,2,3,4],[5,7],[6,8]]=>18
[4,6,8,2,1,5,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>18
[6,8,2,1,3,5,7,4]=>[[1,2,6,7],[3,5],[4,8]]=>12
[1,8,2,3,5,7,4,6]=>[[1,2,4,5,6],[3,8],[7]]=>13
[2,7,3,6,1,4,5,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[2,6,1,3,5,8,4,7]=>[[1,2,5,6],[3,4,8],[7]]=>12
[7,3,2,5,6,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[4,7,5,2,6,1,3,8]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[4,6,2,8,1,5,3,7]=>[[1,2,4],[3,6,8],[5,7]]=>16
[8,4,1,2,7,5,3,6]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[4,5,6,2,7,1,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>12
[8,5,1,2,6,3,4,7]=>[[1,4,5,7,8],[2,6],[3]]=>5
[1,6,2,7,4,8,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>15
[6,2,1,7,8,5,3,4]=>[[1,4,5],[2,6,8],[3,7]]=>10
[6,7,3,8,4,1,5,2]=>[[1,2,4],[3,5,7],[6,8]]=>19
[2,7,8,4,1,5,6,3]=>[[1,2,3,7],[4,6],[5,8]]=>15
[2,7,1,8,5,6,3,4]=>[[1,2,4],[3,5,6],[7,8]]=>20
[8,2,5,1,6,7,3,4]=>[[1,3,5,6],[2,7,8],[4]]=>10
[8,2,4,5,1,6,7,3]=>[[1,3,4,6,7],[2,8],[5]]=>9
[3,8,4,5,6,1,7,2]=>[[1,2,4,5,7],[3,8],[6]]=>12
[4,5,8,3,6,7,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>18
[4,5,8,3,7,6,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[4,2,8,3,7,1,6,5]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[7,2,3,4,8,1,6,5]=>[[1,3,4,5],[2,7],[6,8]]=>13
[7,2,3,4,8,1,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>9
[7,6,3,4,8,5,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[7,6,3,5,8,4,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[7,6,3,8,4,5,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[7,2,3,8,5,1,4,6]=>[[1,3,4,8],[2,5],[6,7]]=>13
[7,2,3,8,5,1,6,4]=>[[1,3,4,7],[2,5],[6,8]]=>14
[2,6,4,8,1,5,7,3]=>[[1,2,4,7],[3,6],[5,8]]=>14
[7,2,3,8,4,1,5,6]=>[[1,3,4,7,8],[2,5],[6]]=>8
[7,2,3,5,8,1,4,6]=>[[1,3,4,5],[2,7,8],[6]]=>12
[7,8,2,3,6,1,4,5]=>[[1,2,5,8],[3,4],[6,7]]=>14
[7,8,2,3,6,1,5,4]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[4,2,6,3,7,1,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>8
[7,2,3,5,8,1,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>13
[7,2,3,8,4,1,6,5]=>[[1,3,4,7],[2,5],[6,8]]=>14
[2,6,4,8,1,3,7,5]=>[[1,2,4],[3,6,7],[5,8]]=>17
[3,6,4,8,1,7,5,2]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[7,6,5,1,2,3,8,4]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[7,6,5,1,4,2,8,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[2,6,4,5,1,8,7,3]=>[[1,2,4,6],[3,7],[5,8]]=>15
[3,5,6,4,1,2,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>10
[7,8,5,4,1,2,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[3,5,6,4,1,2,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>14
[7,6,5,1,4,2,3,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[7,6,5,1,2,4,3,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[7,6,5,1,2,4,8,3]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[7,6,5,1,3,2,8,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[7,6,5,1,3,2,4,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[7,6,5,1,3,4,2,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[7,2,3,4,5,1,8,6]=>[[1,3,4,5,7],[2,8],[6]]=>10
[2,6,4,3,1,5,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[2,6,4,3,1,8,5,7]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[2,6,4,3,1,8,7,5]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[3,5,8,4,1,2,7,6]=>[[1,2,3],[4,6,7],[5,8]]=>18
[3,5,8,4,1,2,6,7]=>[[1,2,3,8],[4,6,7],[5]]=>13
[3,5,8,4,1,6,2,7]=>[[1,2,3,8],[4,6],[5,7]]=>14
[4,2,8,3,6,1,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>13
[3,5,8,4,1,6,7,2]=>[[1,2,3,7],[4,6],[5,8]]=>15
[2,5,8,4,1,7,3,6]=>[[1,2,3],[4,6,8],[5,7]]=>17
[3,6,4,2,1,7,8,5]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[3,6,4,2,1,7,5,8]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[3,5,6,4,1,8,7,2]=>[[1,2,3,6],[4,7],[5,8]]=>16
[2,6,4,5,1,3,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[7,6,5,1,4,3,8,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18
[7,6,5,1,2,8,4,3]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[7,6,5,1,2,8,3,4]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[7,6,5,1,8,2,4,3]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[7,6,5,1,8,2,3,4]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[7,6,5,1,8,3,2,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[7,6,5,1,4,8,2,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[3,6,4,5,1,7,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[2,5,6,4,1,7,8,3]=>[[1,2,3,6,7],[4,8],[5]]=>12
[7,8,5,4,1,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[2,5,6,4,1,7,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[3,6,4,5,1,7,8,2]=>[[1,2,4,6,7],[3,8],[5]]=>11
[7,6,5,1,4,8,3,2]=>[[1,5,6],[2],[3],[4],[7],[8]]=>19
[7,6,5,1,8,3,4,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[7,6,5,1,8,4,2,3]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[4,1,7,6,2,8,5,3]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[7,8,6,2,1,3,5,4]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[3,7,6,1,2,8,4,5]=>[[1,2,6,8],[3,5,7],[4]]=>8
[2,6,5,3,1,4,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[4,6,1,5,3,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[3,6,1,4,2,5,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>10
[2,6,4,5,7,8,1,3]=>[[1,2,4,5,6],[3,8],[7]]=>13
[8,7,1,6,5,2,4,3]=>[[1,4,7],[2],[3],[5],[6],[8]]=>19
[7,2,5,6,8,1,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>12
[6,1,3,4,2,8,7,5]=>[[1,3,4,6],[2,7],[5,8]]=>12
[2,4,5,6,1,8,7,3]=>[[1,2,3,4,6],[5,7],[8]]=>16
[8,4,1,6,5,7,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[2,8,3,4,7,5,1,6]=>[[1,2,4,5,8],[3],[6],[7]]=>13
[6,8,2,7,4,3,5,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[4,7,8,5,1,6,3,2]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[8,2,6,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[4,8,6,1,7,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[8,7,3,2,1,5,4,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[3,8,5,1,7,2,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>11
[6,8,7,1,3,2,4,5]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[2,5,1,8,7,4,6,3]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[3,7,1,8,4,5,6,2]=>[[1,2,4,7],[3,5,6],[8]]=>15
[6,2,3,8,4,7,5,1]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[8,6,4,3,1,7,2,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,3,7,4,6,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[7,1,3,8,6,4,5,2]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[2,3,5,8,6,7,4,1]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[7,4,2,1,8,6,5,3]=>[[1,5],[2,6],[3,7],[4,8]]=>12
[4,6,7,2,5,8,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[7,6,2,5,3,8,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[6,2,1,3,4,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>10
[6,5,4,2,8,3,1,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[5,4,3,1,8,7,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[6,1,4,3,8,5,2,7]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[4,7,6,2,8,1,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[6,4,5,1,7,8,3,2]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[4,2,3,1,7,8,6,5]=>[[1,3,5,6],[2,7],[4,8]]=>11
[3,4,2,1,8,6,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>13
[2,7,6,8,1,5,3,4]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[6,4,5,8,3,1,2,7]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[8,1,3,2,5,6,7,4]=>[[1,3,5,6,7],[2,8],[4]]=>8
[3,6,8,1,5,2,4,7]=>[[1,2,3,8],[4,5,7],[6]]=>14
[3,2,8,7,4,5,1,6]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[6,3,8,5,7,4,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[7,4,6,8,5,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[2,1,4,8,7,5,3,6]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[2,1,6,8,3,7,5,4]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[3,6,8,2,4,1,5,7]=>[[1,2,3,8],[4,5,7],[6]]=>14
[6,2,8,1,7,5,4,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[2,6,5,4,8,1,3,7]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[6,5,3,4,8,1,7,2]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[8,4,3,2,5,1,7,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[4,2,8,1,5,3,6,7]=>[[1,3,7,8],[2,5],[4,6]]=>7
[5,1,8,2,6,4,3,7]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[7,4,8,6,2,1,3,5]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[4,6,2,8,3,7,5,1]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[2,1,5,8,3,6,4,7]=>[[1,3,4,8],[2,5,6],[7]]=>11
[2,8,5,3,6,7,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[7,8,5,6,4,1,3,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>24
[5,8,4,1,6,3,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[4,8,1,3,5,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[3,8,1,4,5,6,2,7]=>[[1,2,5,6,8],[3,4],[7]]=>10
[7,9,5,8,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>32
[7,6,8,3,5,1,4,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[8,9,5,7,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>32
[8,9,6,7,3,5,1,4,2]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>32
[8,9,6,7,4,5,1,3,2]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>32
[8,9,6,7,4,5,2,3,1]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>32
[9,10,7,8,5,6,3,1,4,2]=>[[1,2],[3,4],[5,6],[7,9],[8,10]]=>38
[9,10,7,8,5,3,6,1,4,2]=>[[1,2],[3,4],[5,7],[6,9],[8,10]]=>35
[9,10,7,5,8,3,6,1,4,2]=>[[1,2],[3,5],[4,7],[6,9],[8,10]]=>31
[9,7,10,5,8,3,6,1,4,2]=>[[1,3],[2,5],[4,7],[6,9],[8,10]]=>26
[7,8,6,3,5,1,4,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>22
[5,3,8,7,6,1,4,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[7,9,6,8,3,5,1,4,2]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>32
[6,5,8,4,7,1,3,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[8,9,5,7,4,6,1,3,2]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>32
[8,9,6,7,3,5,2,4,1]=>[[1,2],[3,4],[5,6],[7,8],[9]]=>32
[6,7,4,2,5,3,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[7,6,4,8,3,1,5,2]=>[[1,4],[2,7],[3,8],[5],[6]]=>15
[7,4,8,5,6,1,3,2]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[7,4,2,5,6,3,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[4,2,7,5,6,3,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[3,4,7,5,6,2,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>14
[4,7,3,5,6,2,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[3,7,2,5,6,4,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[7,8,3,5,6,1,4,2]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[1,6,8,5,2,7,4,3]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[6,2,8,5,1,7,4,3]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[6,7,4,8,2,1,5,3]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[3,2,7,8,6,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[6,8,4,1,2,3,7,5]=>[[1,2,6,7],[3,5],[4,8]]=>12
[4,1,8,5,6,3,2,7]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[1,8,2,5,6,4,3,7]=>[[1,2,4,5,8],[3],[6],[7]]=>13
[6,1,8,5,3,7,4,2]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[3,8,1,5,2,7,6,4]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[8,2,1,5,3,7,6,4]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[1,5,2,4,6,7,8,3]=>[[1,2,4,5,6,7],[3],[8]]=>9
[4,1,5,3,6,7,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>9
[8,1,6,5,3,7,2,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[7,1,4,6,3,2,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[3,2,6,4,1,7,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>8
[7,6,4,3,1,2,8,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[8,6,3,5,1,7,2,4]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[4,5,3,1,6,7,8,2]=>[[1,2,5,6,7],[3,8],[4]]=>10
[3,5,2,1,6,7,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>10
[5,2,3,1,6,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>8
[1,5,3,2,6,7,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>10
[8,4,6,5,1,7,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[7,5,4,6,1,2,8,3]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[3,2,5,6,1,7,8,4]=>[[1,3,4,6,7],[2,8],[5]]=>9
[3,2,8,7,6,1,4,5]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[6,8,4,7,2,1,3,5]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[3,8,7,5,6,1,2,4]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[8,2,7,5,6,1,3,4]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[4,8,6,5,1,7,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[1,7,4,6,2,3,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>13
[7,6,4,2,1,5,8,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[5,7,4,6,1,3,8,2]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[8,6,4,7,3,1,2,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[5,2,4,3,7,1,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[3,5,4,2,7,1,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[8,6,4,1,3,5,2,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[6,7,4,1,5,3,8,2]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[7,5,4,1,2,6,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[1,7,4,2,3,6,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>10
[1,8,2,5,3,7,6,4]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[6,8,1,5,4,7,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[8,2,1,5,6,4,3,7]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[3,8,1,5,6,4,2,7]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[6,8,4,1,2,5,3,7]=>[[1,2,6,8],[3,5],[4,7]]=>11
[3,2,8,1,6,5,4,7]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[3,2,6,1,5,7,8,4]=>[[1,3,6,7],[2,5],[4,8]]=>9
[7,6,4,1,5,2,8,3]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[8,6,1,5,4,7,2,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[3,5,1,4,6,7,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>11
[5,2,1,4,6,7,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>7
[5,4,1,3,6,7,8,2]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[8,4,1,5,3,7,2,6]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[7,5,4,1,3,2,8,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[3,2,5,1,4,7,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>7
[7,1,4,3,5,2,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,1,3,5,4,7,2,6]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[5,1,3,4,6,7,8,2]=>[[1,3,4,5,6,7],[2],[8]]=>8
[3,1,8,2,5,7,4,6]=>[[1,3,5,6],[2,4,8],[7]]=>10
[8,3,2,6,1,4,7,5]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[2,8,1,6,4,3,7,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[2,6,1,3,8,7,5,4]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[2,5,7,1,3,8,6,4]=>[[1,2,3,6],[4,5,7],[8]]=>17
[2,6,8,1,5,7,4,3]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[2,7,1,5,8,4,6,3]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[2,7,1,6,4,8,3,5]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[2,7,1,6,5,3,8,4]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[2,8,1,7,6,5,4,3]=>[[1,2],[3,4],[5],[6],[7],[8]]=>26
[8,3,2,7,1,6,5,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[4,1,8,7,3,2,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[4,1,7,2,8,6,5,3]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[3,7,1,8,6,5,4,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[3,7,6,1,4,2,5,8]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[3,7,5,1,4,6,8,2]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[3,6,8,5,1,4,7,2]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[7,3,5,8,2,1,4,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[7,3,6,2,1,4,5,8]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[7,3,6,2,1,5,4,8]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[7,4,2,8,1,6,5,3]=>[[1,4],[2,6],[3,7],[5,8]]=>13
[8,7,5,3,2,1,6,4]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[7,5,2,6,3,1,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[7,4,6,2,1,8,3,5]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[6,8,4,5,2,1,7,3]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[4,6,8,5,1,7,3,2]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[4,7,5,1,3,8,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[4,7,6,1,5,3,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[5,1,7,6,3,8,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[5,1,7,6,4,2,8,3]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[5,1,8,7,6,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>24
[8,5,2,1,7,6,4,3]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[8,5,2,1,6,3,7,4]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[5,1,8,6,3,2,7,4]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[3,6,1,7,4,8,2,5]=>[[1,2,4,6],[3,5,8],[7]]=>15
[4,1,8,6,3,7,2,5]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[8,4,2,5,7,3,1,6]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[3,4,6,8,5,7,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>20
[5,4,8,2,7,3,6,1]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[5,4,8,7,3,6,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>22
[8,5,4,7,3,6,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>21
[6,4,3,8,7,1,2,5]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[6,3,7,2,4,8,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[5,6,8,4,2,7,3,1]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[5,7,4,2,8,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[6,5,2,7,1,3,8,4]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[8,6,5,4,2,1,7,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[6,4,7,3,1,8,2,5]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[5,7,4,3,8,6,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[7,5,8,4,6,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>23
[7,6,4,8,3,5,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>21
[7,6,5,3,8,2,4,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[6,5,4,3,2,1,9,8,7]=>[[1,7],[2,8],[3,9],[4],[5],[6]]=>18
[6,5,4,3,2,1,8,7,9]=>[[1,7,9],[2,8],[3],[4],[5],[6]]=>16
[5,4,3,2,1,9,8,7,6]=>[[1,6],[2,7],[3,8],[4,9],[5]]=>16
[5,4,3,2,1,8,7,6,9]=>[[1,6,9],[2,7],[3,8],[4],[5]]=>13
[5,4,3,2,1,7,6,9,8]=>[[1,6,8],[2,7,9],[3],[4],[5]]=>12
[5,4,3,2,1,7,6,8,9]=>[[1,6,8,9],[2,7],[3],[4],[5]]=>11
[4,3,2,1,8,7,6,5,9]=>[[1,5,9],[2,6],[3,7],[4,8]]=>12
[4,3,2,1,7,6,5,9,8]=>[[1,5,8],[2,6,9],[3,7],[4]]=>10
[4,3,2,1,7,6,5,8,9]=>[[1,5,8,9],[2,6],[3,7],[4]]=>9
[4,3,2,1,6,5,8,7,9]=>[[1,5,7,9],[2,6,8],[3],[4]]=>8
[4,3,2,1,6,5,7,8,9]=>[[1,5,7,8,9],[2,6],[3],[4]]=>7
[3,2,1,6,5,4,8,7,9]=>[[1,4,7,9],[2,5,8],[3,6]]=>7
[3,2,1,6,5,4,7,8,9]=>[[1,4,7,8,9],[2,5],[3,6]]=>6
[3,2,1,5,4,7,6,9,8]=>[[1,4,6,8],[2,5,7,9],[3]]=>6
[3,2,1,5,4,7,6,8,9]=>[[1,4,6,8,9],[2,5,7],[3]]=>5
[3,2,1,5,4,6,7,8,9]=>[[1,4,6,7,8,9],[2,5],[3]]=>4
[2,1,4,3,6,5,7,8,9]=>[[1,3,5,7,8,9],[2,4,6]]=>3
[2,1,4,3,5,6,7,8,9]=>[[1,3,5,6,7,8,9],[2,4]]=>2
[7,6,5,4,3,2,1,10,9,8]=>[[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>24
[7,6,5,4,3,2,1,9,8,10]=>[[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>22
[6,5,4,3,2,1,9,8,7,10]=>[[1,7,10],[2,8],[3,9],[4],[5],[6]]=>18
[6,5,4,3,2,1,8,7,9,10]=>[[1,7,9,10],[2,8],[3],[4],[5],[6]]=>16
[5,4,3,2,1,9,8,7,6,10]=>[[1,6,10],[2,7],[3,8],[4,9],[5]]=>16
[5,4,3,2,1,8,7,6,10,9]=>[[1,6,9],[2,7,10],[3,8],[4],[5]]=>14
[5,4,3,2,1,8,7,6,9,10]=>[[1,6,9,10],[2,7],[3,8],[4],[5]]=>13
[5,4,3,2,1,7,6,9,8,10]=>[[1,6,8,10],[2,7,9],[3],[4],[5]]=>12
[5,4,3,2,1,7,6,8,9,10]=>[[1,6,8,9,10],[2,7],[3],[4],[5]]=>11
[4,3,2,1,8,7,6,5,9,10]=>[[1,5,9,10],[2,6],[3,7],[4,8]]=>12
[4,3,2,1,7,6,5,10,9,8]=>[[1,5,8],[2,6,9],[3,7,10],[4]]=>12
[4,3,2,1,7,6,5,8,9,10]=>[[1,5,8,9,10],[2,6],[3,7],[4]]=>9
[4,3,2,1,6,5,8,7,9,10]=>[[1,5,7,9,10],[2,6,8],[3],[4]]=>8
[4,3,2,1,6,5,7,8,9,10]=>[[1,5,7,8,9,10],[2,6],[3],[4]]=>7
[3,2,1,6,5,4,9,8,7,10]=>[[1,4,7,10],[2,5,8],[3,6,9]]=>9
[3,2,1,6,5,4,8,7,10,9]=>[[1,4,7,9],[2,5,8,10],[3,6]]=>8
[3,2,1,6,5,4,8,7,9,10]=>[[1,4,7,9,10],[2,5,8],[3,6]]=>7
[3,2,1,6,5,4,7,8,9,10]=>[[1,4,7,8,9,10],[2,5],[3,6]]=>6
[3,2,1,5,4,7,6,9,8,10]=>[[1,4,6,8,10],[2,5,7,9],[3]]=>6
[3,2,1,5,4,7,6,8,9,10]=>[[1,4,6,8,9,10],[2,5,7],[3]]=>5
[3,2,1,5,4,6,7,8,9,10]=>[[1,4,6,7,8,9,10],[2,5],[3]]=>4
[2,1,4,3,6,5,8,7,9,10]=>[[1,3,5,7,9,10],[2,4,6,8]]=>4
[2,1,4,3,6,5,7,8,9,10]=>[[1,3,5,7,8,9,10],[2,4,6]]=>3
[2,1,4,3,5,6,7,8,9,10]=>[[1,3,5,6,7,8,9,10],[2,4]]=>2
[5,6,3,7,4,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[7,6,3,8,5,1,4,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[6,4,8,1,3,2,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[7,4,8,6,3,1,5,2]=>[[1,3],[2,4],[5,7],[6,8]]=>20
[4,2,7,6,5,3,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[3,7,2,4,6,5,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[8,1,3,4,5,2,6,7]=>[[1,3,4,5,7,8],[2],[6]]=>6
[1,6,8,4,2,5,3,7]=>[[1,2,3,8],[4,6],[5,7]]=>14
[6,2,8,4,1,5,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>12
[6,7,4,8,5,1,2,3]=>[[1,2,4],[3,5,8],[6,7]]=>18
[3,2,7,8,5,1,6,4]=>[[1,3,4],[2,5,7],[6,8]]=>16
[3,2,8,1,5,4,6,7]=>[[1,3,7,8],[2,5],[4,6]]=>7
[6,1,4,8,5,3,7,2]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[1,4,8,5,2,6,7,3]=>[[1,2,3,6,7],[4,8],[5]]=>12
[6,1,8,4,3,7,2,5]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[3,7,1,4,2,5,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>10
[7,2,1,4,3,5,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[4,1,5,3,6,8,2,7]=>[[1,3,5,6],[2,4,8],[7]]=>10
[6,1,8,5,3,2,7,4]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[7,1,4,6,3,8,5,2]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[3,2,6,4,1,8,7,5]=>[[1,3,6],[2,4,7],[5,8]]=>13
[7,6,4,3,1,8,2,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[3,5,2,1,8,7,6,4]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[1,5,3,2,8,6,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>12
[5,4,2,1,7,8,6,3]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[8,2,7,6,5,1,3,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[8,6,2,7,1,4,5,3]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[1,7,3,6,2,8,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[7,6,3,2,1,8,5,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[8,6,3,7,4,1,2,5]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[5,2,3,4,7,1,8,6]=>[[1,3,4,5,7],[2,8],[6]]=>10
[8,6,3,1,4,5,7,2]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[6,7,3,1,5,4,2,8]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[5,8,3,1,2,4,7,6]=>[[1,2,6,7],[3,5],[4,8]]=>12
[8,1,3,2,4,5,6,7]=>[[1,3,5,6,7,8],[2],[4]]=>4
[8,4,1,7,2,3,6,5]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[8,2,1,6,5,4,7,3]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[3,8,1,5,6,4,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[6,8,4,1,2,5,7,3]=>[[1,2,6,7],[3,5],[4,8]]=>12
[3,2,8,1,6,5,7,4]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[7,6,4,1,5,2,3,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[8,6,1,5,4,7,3,2]=>[[1,4,6],[2],[3],[5],[7],[8]]=>20
[3,5,1,4,6,7,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>10
[5,2,1,4,7,6,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>8
[4,5,8,2,1,3,7,6]=>[[1,2,3],[4,6,7],[5,8]]=>18
[5,8,2,3,1,4,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>8
[4,2,1,3,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>10
[5,4,1,3,6,2,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[8,5,4,1,3,6,2,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[3,2,5,1,4,6,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>7
[8,1,4,3,5,6,7,2]=>[[1,3,5,6,7],[2],[4],[8]]=>11
[7,1,3,5,4,6,2,8]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[5,1,3,4,6,2,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>6
[4,1,3,2,5,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>7
[3,1,4,2,6,5,8,7,9]=>[[1,3,5,7,9],[2,4,6,8]]=>4
[3,1,5,2,6,4,8,7,9]=>[[1,3,5,7,9],[2,4,6,8]]=>4
[3,1,4,2,6,5,8,7,10,9]=>[[1,3,5,7,9],[2,4,6,8,10]]=>5
[4,1,5,2,6,3,8,7,9]=>[[1,3,5,7,9],[2,4,6,8]]=>4
[3,1,6,2,7,4,8,5,9]=>[[1,3,5,7,9],[2,4,6,8]]=>4
[3,1,5,2,7,4,9,6,8,10]=>[[1,3,5,7,9,10],[2,4,6,8]]=>4
[4,6,7,3,1,5,2,8]=>[[1,2,3,8],[4,6],[5,7]]=>14
[6,8,1,3,5,2,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>15
[6,8,3,1,4,5,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>12
[7,5,1,8,2,3,6,4]=>[[1,4,6,7],[2,5],[3,8]]=>8
[5,3,8,4,2,6,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[4,1,8,3,5,7,2,6]=>[[1,3,5,6],[2,4],[7,8]]=>14
[4,5,7,2,3,6,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>16
[2,6,3,4,7,5,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>13
[4,5,2,7,1,6,8,3]=>[[1,2,4,7],[3,6],[5,8]]=>14
[3,4,1,6,5,8,2,7]=>[[1,2,4,6],[3,5,8],[7]]=>15
[7,3,1,4,8,5,6,2]=>[[1,4,5,7],[2,6],[3,8]]=>9
[6,4,2,8,7,1,5,3]=>[[1,4],[2,5],[3,7],[6,8]]=>14
[7,2,4,8,1,5,3,6]=>[[1,3,4,8],[2,6],[5,7]]=>10
[4,6,3,1,7,8,5,2]=>[[1,2,5,6],[3,7],[4,8]]=>14
[5,3,1,6,7,8,4,2]=>[[1,4,5,6],[2,7],[3,8]]=>10
[4,1,6,2,7,8,5,3]=>[[1,3,5,6],[2,4,7],[8]]=>11
[2,1,3,4,8,7,5,6]=>[[1,3,4,5,8],[2,6],[7]]=>10
[4,5,6,7,8,9,1,2,3]=>[[1,2,3,4,5,6],[7,8,9]]=>18
[4,5,6,7,8,9,2,3,1]=>[[1,2,3,4,5,6],[7,8],[9]]=>20
[5,6,7,8,9,1,2,3,4]=>[[1,2,3,4,5],[6,7,8,9]]=>20
[6,7,8,9,2,3,4,5,1]=>[[1,2,3,4],[5,6,7,8],[9]]=>24
[8,9,6,7,5,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>34
[4,5,6,7,8,9,10,1,2,3]=>[[1,2,3,4,5,6,7],[8,9,10]]=>21
[4,5,6,7,8,9,10,2,3,1]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>23
[5,6,7,8,9,10,1,2,3,4]=>[[1,2,3,4,5,6],[7,8,9,10]]=>24
[5,6,7,8,9,10,3,4,1,2]=>[[1,2,3,4,5,6],[7,8],[9,10]]=>28
[7,8,9,10,3,4,5,6,1,2]=>[[1,2,3,4],[5,6,7,8],[9,10]]=>32
[7,8,9,10,5,6,3,4,1,2]=>[[1,2,3,4],[5,6],[7,8],[9,10]]=>36
[8,9,10,5,6,7,2,3,4,1]=>[[1,2,3],[4,5,6],[7,8,9],[10]]=>36
[4,8,3,7,6,5,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[6,3,8,7,5,4,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[5,3,8,7,6,4,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[2,8,7,6,1,5,4,3]=>[[1,2],[3,6],[4],[5],[7],[8]]=>24
[5,2,8,7,6,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[6,2,8,7,5,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[7,8,2,6,5,1,4,3]=>[[1,2],[3,4],[5,7],[6],[8]]=>24
[6,1,8,7,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>24
[3,1,8,7,6,5,4,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>24
[7,8,2,6,1,5,4,3]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[6,2,8,7,1,5,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[4,2,8,1,7,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[4,8,2,7,6,1,5,3]=>[[1,2],[3,4],[5,7],[6],[8]]=>24
[3,8,7,2,1,6,5,4]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[6,5,8,7,1,4,3,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[4,8,1,7,6,5,3,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>26
[5,4,1,8,7,6,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[6,4,8,1,7,5,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[7,8,4,1,6,5,3,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[7,8,3,1,6,5,4,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[6,3,8,1,7,5,4,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[5,3,1,8,7,6,4,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[7,8,2,1,6,5,4,3]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[6,5,3,1,8,7,4,2]=>[[1,5],[2,6],[3,7],[4,8]]=>12
[6,4,3,1,8,7,5,2]=>[[1,5],[2,6],[3,7],[4,8]]=>12
[5,4,3,1,8,7,6,2]=>[[1,5],[2,6],[3,7],[4,8]]=>12
[7,5,2,1,8,6,4,3]=>[[1,5],[2,6],[3,7],[4,8]]=>12
[5,4,2,1,8,7,6,3]=>[[1,5],[2,6],[3,7],[4,8]]=>12
[7,3,2,1,8,6,5,4]=>[[1,5],[2,6],[3,7],[4,8]]=>12
[6,3,2,1,8,7,5,4]=>[[1,5],[2,6],[3,7],[4,8]]=>12
[9,7,5,3,1,10,8,6,4,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[8,7,5,3,1,10,9,6,4,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[9,6,5,3,1,10,8,7,4,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[8,6,5,3,1,10,9,7,4,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[7,6,5,3,1,10,9,8,4,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[9,7,4,3,1,10,8,6,5,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[8,7,4,3,1,10,9,6,5,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[9,6,4,3,1,10,8,7,5,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[8,6,4,3,1,10,9,7,5,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[7,6,4,3,1,10,9,8,5,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[9,5,4,3,1,10,8,7,6,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[8,5,4,3,1,10,9,7,6,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[7,5,4,3,1,10,9,8,6,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[6,5,4,3,1,10,9,8,7,2]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[9,7,5,2,1,10,8,6,4,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[8,7,5,2,1,10,9,6,4,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[9,6,5,2,1,10,8,7,4,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[8,6,5,2,1,10,9,7,4,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[7,6,5,2,1,10,9,8,4,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[9,7,4,2,1,10,8,6,5,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[8,7,4,2,1,10,9,6,5,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[9,6,4,2,1,10,8,7,5,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[8,6,4,2,1,10,9,7,5,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[7,6,4,2,1,10,9,8,5,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[9,5,4,2,1,10,8,7,6,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[8,5,4,2,1,10,9,7,6,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[7,5,4,2,1,10,9,8,6,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[6,5,4,2,1,10,9,8,7,3]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[9,7,3,2,1,10,8,6,5,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[8,7,3,2,1,10,9,6,5,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[9,6,3,2,1,10,8,7,5,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[8,6,3,2,1,10,9,7,5,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[7,6,3,2,1,10,9,8,5,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[9,5,3,2,1,10,8,7,6,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[8,5,3,2,1,10,9,7,6,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[7,5,3,2,1,10,9,8,6,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[6,5,3,2,1,10,9,8,7,4]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[9,4,3,2,1,10,8,7,6,5]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[8,4,3,2,1,10,9,7,6,5]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[7,4,3,2,1,10,9,8,6,5]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[6,4,3,2,1,10,9,8,7,5]=>[[1,6],[2,7],[3,8],[4,9],[5,10]]=>20
[11,9,7,5,3,1,12,10,8,6,4,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,9,7,5,3,1,12,11,8,6,4,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,8,7,5,3,1,12,10,9,6,4,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,8,7,5,3,1,12,11,9,6,4,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,8,7,5,3,1,12,11,10,6,4,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,9,6,5,3,1,12,10,8,7,4,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,9,6,5,3,1,12,11,8,7,4,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,8,6,5,3,1,12,10,9,7,4,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,8,6,5,3,1,12,11,9,7,4,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,8,6,5,3,1,12,11,10,7,4,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,7,6,5,3,1,12,10,9,8,4,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,7,6,5,3,1,12,11,9,8,4,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,7,6,5,3,1,12,11,10,8,4,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[8,7,6,5,3,1,12,11,10,9,4,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,9,7,4,3,1,12,10,8,6,5,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,9,7,4,3,1,12,11,8,6,5,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,8,7,4,3,1,12,10,9,6,5,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,8,7,4,3,1,12,11,9,6,5,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,8,7,4,3,1,12,11,10,6,5,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,9,6,4,3,1,12,10,8,7,5,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,9,6,4,3,1,12,11,8,7,5,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,8,6,4,3,1,12,10,9,7,5,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,8,6,4,3,1,12,11,9,7,5,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,8,6,4,3,1,12,11,10,7,5,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,7,6,4,3,1,12,10,9,8,5,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,7,6,4,3,1,12,11,9,8,5,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,7,6,4,3,1,12,11,10,8,5,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[8,7,6,4,3,1,12,11,10,9,5,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,9,5,4,3,1,12,10,8,7,6,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,9,5,4,3,1,12,11,8,7,6,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,8,5,4,3,1,12,10,9,7,6,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,8,5,4,3,1,12,11,9,7,6,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,8,5,4,3,1,12,11,10,7,6,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,7,5,4,3,1,12,10,9,8,6,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,7,5,4,3,1,12,11,9,8,6,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,7,5,4,3,1,12,11,10,8,6,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[8,7,5,4,3,1,12,11,10,9,6,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,6,5,4,3,1,12,10,9,8,7,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,6,5,4,3,1,12,11,9,8,7,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,6,5,4,3,1,12,11,10,8,7,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[8,6,5,4,3,1,12,11,10,9,7,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[7,6,5,4,3,1,12,11,10,9,8,2]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,9,7,5,2,1,12,10,8,6,4,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,9,7,5,2,1,12,11,8,6,4,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,8,7,5,2,1,12,10,9,6,4,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,8,7,5,2,1,12,11,9,6,4,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,8,7,5,2,1,12,11,10,6,4,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,9,6,5,2,1,12,10,8,7,4,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,9,6,5,2,1,12,11,8,7,4,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,8,6,5,2,1,12,10,9,7,4,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,8,6,5,2,1,12,11,9,7,4,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,8,6,5,2,1,12,11,10,7,4,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,7,6,5,2,1,12,10,9,8,4,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,7,6,5,2,1,12,11,9,8,4,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,7,6,5,2,1,12,11,10,8,4,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[8,7,6,5,2,1,12,11,10,9,4,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,9,7,4,2,1,12,10,8,6,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,9,7,4,2,1,12,11,8,6,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,8,7,4,2,1,12,10,9,6,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,8,7,4,2,1,12,11,9,6,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,8,7,4,2,1,12,11,10,6,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,9,6,4,2,1,12,10,8,7,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,9,6,4,2,1,12,11,8,7,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,8,6,4,2,1,12,10,9,7,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,8,6,4,2,1,12,11,9,7,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,8,6,4,2,1,12,11,10,7,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,7,6,4,2,1,12,10,9,8,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,7,6,4,2,1,12,11,9,8,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,7,6,4,2,1,12,11,10,8,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[8,7,6,4,2,1,12,11,10,9,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,9,5,4,2,1,12,10,8,7,6,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,9,5,4,2,1,12,11,8,7,6,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,8,5,4,2,1,12,10,9,7,6,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,8,5,4,2,1,12,11,9,7,6,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,8,5,4,2,1,12,11,10,7,6,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,7,5,4,2,1,12,10,9,8,6,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,7,5,4,2,1,12,11,9,8,6,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,7,5,4,2,1,12,11,10,8,6,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[8,7,5,4,2,1,12,11,10,9,6,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,6,5,4,2,1,12,10,9,8,7,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,6,5,4,2,1,12,11,9,8,7,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,6,5,4,2,1,12,11,10,8,7,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[8,6,5,4,2,1,12,11,10,9,7,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[7,6,5,4,2,1,12,11,10,9,8,3]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,9,7,3,2,1,12,10,8,6,5,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,9,7,3,2,1,12,11,8,6,5,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,8,7,3,2,1,12,10,9,6,5,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,8,7,3,2,1,12,11,9,6,5,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,8,7,3,2,1,12,11,10,6,5,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,9,6,3,2,1,12,10,8,7,5,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,9,6,3,2,1,12,11,8,7,5,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,8,6,3,2,1,12,10,9,7,5,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,8,6,3,2,1,12,11,9,7,5,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,8,6,3,2,1,12,11,10,7,5,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,7,6,3,2,1,12,10,9,8,5,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,7,6,3,2,1,12,11,9,8,5,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,7,6,3,2,1,12,11,10,8,5,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[8,7,6,3,2,1,12,11,10,9,5,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,9,5,3,2,1,12,10,8,7,6,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,9,5,3,2,1,12,11,8,7,6,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,8,5,3,2,1,12,10,9,7,6,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,8,5,3,2,1,12,11,9,7,6,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,8,5,3,2,1,12,11,10,7,6,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,7,5,3,2,1,12,10,9,8,6,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,7,5,3,2,1,12,11,9,8,6,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,7,5,3,2,1,12,11,10,8,6,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[8,7,5,3,2,1,12,11,10,9,6,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,6,5,3,2,1,12,10,9,8,7,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,6,5,3,2,1,12,11,9,8,7,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,6,5,3,2,1,12,11,10,8,7,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[8,6,5,3,2,1,12,11,10,9,7,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[7,6,5,3,2,1,12,11,10,9,8,4]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,9,4,3,2,1,12,10,8,7,6,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,9,4,3,2,1,12,11,8,7,6,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,8,4,3,2,1,12,10,9,7,6,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,8,4,3,2,1,12,11,9,7,6,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,8,4,3,2,1,12,11,10,7,6,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,7,4,3,2,1,12,10,9,8,6,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,7,4,3,2,1,12,11,9,8,6,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,7,4,3,2,1,12,11,10,8,6,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[8,7,4,3,2,1,12,11,10,9,6,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,6,4,3,2,1,12,10,9,8,7,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,6,4,3,2,1,12,11,9,8,7,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,6,4,3,2,1,12,11,10,8,7,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[8,6,4,3,2,1,12,11,10,9,7,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[7,6,4,3,2,1,12,11,10,9,8,5]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[11,5,4,3,2,1,12,10,9,8,7,6]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[10,5,4,3,2,1,12,11,9,8,7,6]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[9,5,4,3,2,1,12,11,10,8,7,6]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[8,5,4,3,2,1,12,11,10,9,7,6]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[7,5,4,3,2,1,12,11,10,9,8,6]=>[[1,7],[2,8],[3,9],[4,10],[5,11],[6,12]]=>30
[6,1,4,2,3,5,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>8
[8,6,1,4,2,3,5,7]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[6,8,1,4,2,3,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>8
[8,1,4,2,3,6,5,7]=>[[1,3,5,6,8],[2,7],[4]]=>7
[4,1,8,2,3,6,5,7]=>[[1,3,5,6,8],[2,4],[7]]=>8
[8,2,3,6,1,4,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>7
[6,2,3,8,1,4,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>7
[4,6,2,3,8,1,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>10
[4,8,2,3,6,1,5,7]=>[[1,2,5,8],[3,4],[6,7]]=>14
[8,2,3,6,4,1,5,7]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[8,4,3,6,2,1,5,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[6,2,3,8,4,1,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>8
[8,4,2,3,6,1,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[6,4,2,3,8,1,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[2,6,4,3,8,1,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[2,8,4,3,6,1,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[2,6,3,8,4,1,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>10
[6,3,8,4,2,1,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[2,6,3,8,1,4,5,7]=>[[1,2,4,7,8],[3,6],[5]]=>9
[2,8,3,6,1,4,5,7]=>[[1,2,4,7,8],[3,6],[5]]=>9
[8,3,6,4,2,1,5,7]=>[[1,3,7,8],[2],[4],[5],[6]]=>13
[2,8,3,6,4,1,5,7]=>[[1,2,4,7,8],[3],[5],[6]]=>11
[8,3,6,2,4,1,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[8,3,6,2,1,4,5,7]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[6,2,1,3,8,4,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>5
[8,2,1,3,6,4,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>5
[6,3,8,2,4,1,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[6,2,4,3,8,1,5,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[3,6,4,7,8,5,1,2]=>[[1,2,4,5],[3,6],[7,8]]=>18
[1,6,4,2,7,5,8,3]=>[[1,2,5,7],[3,6],[4,8]]=>13
[3,6,4,2,7,1,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[1,4,7,2,5,6,8,3]=>[[1,2,3,6,7],[4,5],[8]]=>13
[6,4,8,5,3,7,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[1,6,5,4,2,7,8,3]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[4,2,5,3,6,1,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>7
[7,1,5,3,6,2,8,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[1,6,5,2,4,8,7,3]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[1,4,6,2,8,5,7,3]=>[[1,2,3,5],[4,6,7],[8]]=>18
[7,8,1,4,2,5,6,3]=>[[1,2,6,7],[3,4],[5,8]]=>14
[3,4,8,5,2,1,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[4,8,5,3,1,6,2,7]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[6,1,3,5,8,2,7,4]=>[[1,3,4,5],[2,7],[6,8]]=>13
[6,1,8,7,4,2,3,5]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[1,2,8,5,7,3,6,4]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[1,3,6,8,7,5,2,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[1,8,2,5,4,7,6,3]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[7,1,2,4,5,8,6,3]=>[[1,3,4,5,6],[2,7],[8]]=>12
[1,2,7,3,5,8,6,4]=>[[1,2,3,5,6],[4,7],[8]]=>15
[6,1,3,2,5,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>8
[4,6,2,1,7,5,3,8]=>[[1,2,5,8],[3,6],[4,7]]=>12
[1,6,3,7,8,5,2,4]=>[[1,2,4,5],[3,6],[7,8]]=>18
[4,6,2,3,7,8,1,5]=>[[1,2,5,6],[3,4,8],[7]]=>12
[4,6,3,7,1,2,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>13
[4,2,1,3,5,7,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>7
[7,3,2,4,5,1,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[3,8,2,5,4,1,7,6]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[7,8,4,2,6,3,1,5]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[4,2,6,3,8,7,1,5]=>[[1,3,5],[2,4,6],[7,8]]=>15
[5,8,2,7,4,3,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[4,3,8,5,1,7,2,6]=>[[1,3,6],[2,4,8],[5,7]]=>12
[4,3,6,8,1,2,7,5]=>[[1,3,4],[2,6,7],[5,8]]=>13
[6,4,3,5,2,8,1,7]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[6,5,3,8,4,2,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[6,1,7,2,8,3,9,4,10,5]=>[[1,3,5,7,9],[2,4,6,8,10]]=>5
[6,1,7,8,9,10,2,3,4,5]=>[[1,3,4,5,6],[2,7,8,9,10]]=>17
[7,1,8,2,9,3,10,4,11,5,12,6]=>[[1,3,5,7,9,11],[2,4,6,8,10,12]]=>6
[1,8,6,7,5,3,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[1,5,8,7,2,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[5,4,8,6,2,3,7,1]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[2,7,6,1,3,5,4,8]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[6,4,1,8,2,5,7,3]=>[[1,4,6,7],[2,5],[3,8]]=>8
[2,8,6,1,3,5,4,7]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[4,1,3,6,5,8,7,2]=>[[1,3,4,6],[2,5,7],[8]]=>13
[2,1,6,3,5,8,7,4]=>[[1,3,5,6],[2,4,7],[8]]=>11
[2,4,1,3,8,5,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>12
[2,4,1,3,5,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>13
[2,6,1,3,5,8,7,4]=>[[1,2,5,6],[3,4,7],[8]]=>13
[4,6,1,3,5,8,7,2]=>[[1,2,5,6],[3,4,7],[8]]=>13
[6,1,4,3,5,8,7,2]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[6,4,1,3,5,8,7,2]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[6,2,1,3,5,8,7,4]=>[[1,4,5,6],[2,7],[3,8]]=>10
[4,2,1,3,6,5,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>5
[4,2,1,6,3,5,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[6,2,1,8,3,5,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>8
[6,2,1,3,8,5,7,4]=>[[1,4,5,7],[2,6],[3,8]]=>9
[6,1,4,3,8,5,7,2]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[1,6,4,3,8,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[8,1,4,3,6,5,7,2]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[8,4,1,3,6,5,7,2]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[8,2,1,3,6,5,7,4]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[8,2,1,6,3,5,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[8,2,1,4,3,5,7,6]=>[[1,4,6,7],[2,5,8],[3]]=>6
[6,2,1,4,3,5,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[8,2,4,1,3,5,7,6]=>[[1,3,6,7],[2,5,8],[4]]=>7
[8,2,6,1,3,5,7,4]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[8,4,6,1,3,5,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[8,4,1,6,3,5,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[8,1,4,6,3,5,7,2]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[1,8,4,6,3,5,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[1,6,4,8,3,5,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[6,4,1,8,3,5,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[6,4,8,1,3,5,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[6,2,8,1,3,5,7,4]=>[[1,3,6,7],[2,5],[4,8]]=>9
[4,2,8,1,3,5,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>9
[2,6,8,1,3,5,7,4]=>[[1,2,3,7],[4,5,6],[8]]=>16
[4,6,8,1,3,5,7,2]=>[[1,2,3,7],[4,5,6],[8]]=>16
[4,6,1,8,3,5,7,2]=>[[1,2,4,7],[3,5,6],[8]]=>15
[4,1,6,8,3,5,7,2]=>[[1,3,4,7],[2,5,6],[8]]=>12
[1,4,6,3,8,5,7,2]=>[[1,2,3,5],[4,6,7],[8]]=>18
[4,6,1,3,8,5,7,2]=>[[1,2,5,7],[3,4,6],[8]]=>12
[2,4,1,8,3,5,7,6]=>[[1,2,4,7],[3,5,6],[8]]=>15
[2,1,6,8,3,5,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>12
[4,1,3,6,8,5,7,2]=>[[1,3,4,5],[2,6,7],[8]]=>14
[1,4,3,6,8,5,7,2]=>[[1,2,4,5],[3,6,7],[8]]=>17
[4,1,3,8,6,5,7,2]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[2,1,8,3,6,5,7,4]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[2,1,6,4,3,5,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[2,6,1,4,3,5,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>8
[2,8,1,4,3,5,7,6]=>[[1,2,6,7],[3,4,8],[5]]=>10
[2,8,1,6,3,5,7,4]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[4,8,1,3,6,5,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[1,4,8,3,6,5,7,2]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[1,4,8,6,3,5,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[4,1,8,6,3,5,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[4,8,1,6,3,5,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[4,8,6,1,3,5,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[2,8,6,1,3,5,7,4]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[2,8,4,1,3,5,7,6]=>[[1,2,6,7],[3,5,8],[4]]=>9
[2,6,4,1,3,5,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>7
[4,6,2,1,3,5,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>7
[6,8,1,4,3,5,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[6,1,8,4,3,5,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[1,6,8,4,3,5,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[1,8,6,4,3,5,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>16
[8,1,6,4,3,5,7,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>15
[8,6,1,4,3,5,7,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>14
[8,6,4,1,3,5,7,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[8,6,2,1,3,5,7,4]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[8,4,2,1,3,5,7,6]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[7,8,6,5,2,1,4,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>19
[5,7,4,1,8,6,3,2]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[5,6,4,2,8,3,7,1]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[5,6,4,2,7,3,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[5,7,1,4,6,3,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[5,8,1,4,6,3,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[3,6,7,4,5,8,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[3,5,7,4,6,8,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[6,8,4,1,7,2,5,3]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[5,4,6,1,7,8,3,2]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[5,6,4,1,8,7,3,2]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[3,5,8,4,6,7,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[3,6,8,4,5,7,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[3,7,8,4,5,6,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[6,8,1,4,5,3,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[6,7,1,4,5,3,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[3,7,1,5,4,6,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[3,8,1,5,4,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[3,7,1,5,4,6,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[6,7,1,4,5,3,8,2]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[5,7,1,4,6,3,8,2]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[5,6,4,2,7,3,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[5,4,7,2,8,3,1,6]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[5,4,7,2,8,3,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[5,6,4,2,8,3,1,7]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[5,8,1,4,6,3,2,7]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[3,8,1,5,4,6,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[3,6,1,5,4,2,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[3,6,1,5,4,8,2,7]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[6,8,3,1,4,2,5,7]=>[[1,2,7,8],[3,5],[4,6]]=>10
[7,3,8,1,4,2,5,6]=>[[1,3,7,8],[2,5],[4,6]]=>7
[6,7,3,1,4,2,8,5]=>[[1,2,7],[3,5,8],[4,6]]=>11
[3,6,1,5,4,7,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[3,4,1,2,7,6,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>11
[3,4,1,2,6,8,7,5]=>[[1,2,5,6],[3,4,7],[8]]=>13
[6,8,3,1,4,7,2,5]=>[[1,2,6],[3,5,8],[4,7]]=>12
[6,4,7,2,8,5,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[5,8,1,4,7,3,2,6]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[7,8,1,4,5,3,2,6]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[3,8,1,5,4,7,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[3,6,1,5,4,8,7,2]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[3,6,1,5,4,7,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[6,7,3,1,4,2,5,8]=>[[1,2,7,8],[3,5],[4,6]]=>10
[6,8,3,1,4,2,7,5]=>[[1,2,7],[3,5,8],[4,6]]=>11
[7,8,3,1,4,6,2,5]=>[[1,2,6],[3,5,8],[4,7]]=>12
[7,8,4,2,6,5,1,3]=>[[1,2],[3,5],[4,6],[7,8]]=>22
[6,5,8,7,3,4,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[7,8,3,1,4,6,5,2]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[6,7,3,1,4,5,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>11
[3,7,1,5,4,2,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[3,8,1,5,4,2,7,6]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[5,8,1,4,7,3,6,2]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[6,8,4,2,7,5,3,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[6,4,7,2,8,5,3,1]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[6,3,7,1,4,8,5,2]=>[[1,3,6],[2,5,7],[4,8]]=>10
[6,8,3,1,4,7,5,2]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[3,7,1,5,4,8,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[3,4,1,2,8,5,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>12
[3,4,1,2,5,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>13
[3,7,1,5,4,2,8,6]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[6,7,3,1,4,5,8,2]=>[[1,2,6,7],[3,5],[4,8]]=>12
[7,3,8,1,4,5,2,6]=>[[1,3,6,8],[2,5],[4,7]]=>8
[7,3,8,1,4,5,6,2]=>[[1,3,6,7],[2,5],[4,8]]=>9
[6,8,3,1,4,5,2,7]=>[[1,2,6,8],[3,5],[4,7]]=>11
[3,8,1,5,4,2,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[9,8,7,6,5,4,2,1,3]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>28
[9,8,7,6,5,3,2,1,4]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>28
[8,7,6,3,5,2,1,4]=>[[1,5],[2,8],[3],[4],[6],[7]]=>18
[9,8,7,6,4,3,2,1,5]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>28
[8,7,4,6,3,2,1,5]=>[[1,4],[2,8],[3],[5],[6],[7]]=>19
[9,8,7,5,4,3,2,1,6]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>28
[8,5,7,4,3,2,1,6]=>[[1,3],[2,8],[4],[5],[6],[7]]=>20
[9,8,6,5,4,3,2,1,7]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>28
[9,7,6,5,4,3,2,1,8]=>[[1,9],[2],[3],[4],[5],[6],[7],[8]]=>28
[10,9,8,7,6,5,4,2,1,3]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>36
[9,8,7,6,5,2,4,1,3]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>23
[10,9,8,7,6,5,3,2,1,4]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>36
[10,9,8,7,6,4,3,2,1,5]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>36
[8,7,6,2,5,4,1,3]=>[[1,5],[2,8],[3],[4],[6],[7]]=>18
[10,9,8,7,5,4,3,2,1,6]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>36
[8,5,4,7,3,2,1,6]=>[[1,4],[2,8],[3],[5],[6],[7]]=>19
[8,7,3,6,5,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>19
[10,9,8,6,5,4,3,2,1,7]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>36
[6,5,8,4,3,2,1,7]=>[[1,3],[2,8],[4],[5],[6],[7]]=>20
[8,4,7,6,3,2,1,5]=>[[1,3],[2,8],[4],[5],[6],[7]]=>20
[10,9,7,6,5,4,3,2,1,8]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>36
[5,8,7,4,3,2,1,6]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[10,8,7,6,5,4,3,2,1,9]=>[[1,10],[2],[3],[4],[5],[6],[7],[8],[9]]=>36
[5,8,6,2,3,4,7,1]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[4,5,2,7,3,1,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>14
[4,8,2,6,3,5,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[4,1,7,2,5,8,6,3]=>[[1,3,5,6],[2,4,7],[8]]=>11
[1,6,2,5,8,4,3,7]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[7,3,1,6,8,5,2,4]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[5,2,7,1,8,6,3,4]=>[[1,3,5],[2,6,8],[4,7]]=>11
[6,5,2,8,1,7,3,4]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[2,8,3,5,1,7,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>14
[5,4,3,8,7,1,6,2]=>[[1,4],[2,5],[3,7],[6,8]]=>14
[8,5,4,3,7,2,6,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[8,3,7,4,2,6,5,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[2,8,6,5,1,7,4,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[6,3,2,8,4,1,7,5]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[2,8,3,4,1,7,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>10
[5,4,2,8,3,1,7,6]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[2,8,4,3,1,7,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[2,8,5,3,1,7,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[2,8,6,4,1,7,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[3,8,7,5,1,6,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[8,3,7,5,2,6,4,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[8,4,7,6,2,5,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>22
[4,8,7,6,1,5,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>24
[7,4,8,6,2,1,5,3]=>[[1,3],[2,4],[5,7],[6,8]]=>20
[7,3,8,5,2,1,6,4]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[7,3,8,4,2,1,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[7,5,4,3,8,2,1,6]=>[[1,5],[2,8],[3],[4],[6],[7]]=>18
[3,7,8,4,1,2,6,5]=>[[1,2,3],[4,6,7],[5,8]]=>18
[3,7,8,5,1,2,6,4]=>[[1,2,3],[4,6,7],[5,8]]=>18
[4,7,8,6,1,2,5,3]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[8,7,4,6,3,5,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>21
[5,7,8,6,1,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[6,4,7,8,3,1,2,5]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[7,3,4,8,2,1,5,6]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[7,6,4,8,3,2,1,5]=>[[1,4],[2,8],[3],[5],[6],[7]]=>19
[7,5,8,6,2,1,4,3]=>[[1,3],[2,4],[5,7],[6,8]]=>20
[6,5,8,7,3,1,4,2]=>[[1,3],[2,4],[5,7],[6,8]]=>20
[2,4,8,3,1,5,7,6]=>[[1,2,3,7],[4,6],[5,8]]=>15
[6,3,2,4,8,1,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[2,3,8,4,1,6,7,5]=>[[1,2,3,6,7],[4,8],[5]]=>12
[2,3,8,5,1,6,7,4]=>[[1,2,3,6,7],[4,8],[5]]=>12
[6,4,8,7,3,1,5,2]=>[[1,3],[2,4],[5,7],[6,8]]=>20
[8,6,4,7,3,2,5,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>20
[8,3,4,7,2,5,6,1]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[3,4,8,7,1,5,6,2]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[2,4,8,6,1,5,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[2,5,8,6,1,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[8,3,5,7,2,4,6,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[8,4,6,7,2,3,5,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[4,6,8,7,1,3,5,2]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[2,6,8,5,1,3,7,4]=>[[1,2,3],[4,6,7],[5,8]]=>18
[2,6,8,4,1,3,7,5]=>[[1,2,3],[4,6,7],[5,8]]=>18
[2,5,8,3,1,4,7,6]=>[[1,2,3,7],[4,6],[5,8]]=>15
[5,6,8,7,1,3,4,2]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[7,4,6,8,2,1,3,5]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[2,3,5,4,1,8,6,7]=>[[1,2,3,6,8],[4,7],[5]]=>11
[2,3,6,4,8,1,5,7]=>[[1,2,3,5,8],[4,7],[6]]=>12
[1,8,4,6,3,5,2,7]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[5,4,8,6,2,1,3,7]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[2,3,6,8,1,5,4,7]=>[[1,2,3,4],[5,6,8],[7]]=>18
[2,5,6,1,4,7,8,3]=>[[1,2,3,6,7],[4,5],[8]]=>13
[2,5,6,1,4,7,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>12
[7,3,5,1,6,8,4,2]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[2,7,6,1,8,5,4,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[2,7,6,8,1,4,5,3]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[1,8,7,6,3,2,5,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[1,8,7,6,3,2,4,5]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[5,7,8,6,2,3,4,1]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[2,7,6,1,8,5,3,4]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[6,3,5,1,7,2,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>8
[2,3,4,7,6,1,5,8]=>[[1,2,3,4,8],[5,7],[6]]=>13
[7,3,5,8,4,1,2,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[1,8,4,5,2,7,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>14
[1,8,4,5,2,7,6,3]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[7,3,5,8,4,1,6,2]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[2,7,6,4,8,5,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[7,3,5,4,6,8,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[6,3,5,4,7,1,8,2]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[6,3,5,4,7,1,2,8]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[3,4,1,5,6,8,7,2]=>[[1,2,4,5,6],[3,7],[8]]=>14
[3,7,1,6,8,5,2,4]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[2,3,1,8,6,4,7,5]=>[[1,2,4,7],[3,5,8],[6]]=>14
[1,8,4,3,6,2,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[2,3,1,8,6,4,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>10
[3,7,1,6,8,5,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[6,3,5,4,7,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>15
[7,3,5,4,6,8,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>17
[2,7,6,4,8,5,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[1,8,4,5,2,6,3,7]=>[[1,2,4,6,8],[3,7],[5]]=>10
[6,4,8,5,3,1,2,7]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[7,3,5,8,4,6,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[2,3,4,6,5,8,1,7]=>[[1,2,3,4,6],[5,8],[7]]=>15
[2,3,4,7,5,1,8,6]=>[[1,2,3,4,7],[5,8],[6]]=>14
[2,3,4,7,5,1,6,8]=>[[1,2,3,4,7,8],[5],[6]]=>9
[2,3,4,7,1,6,5,8]=>[[1,2,3,4,8],[5,6],[7]]=>14
[2,3,4,7,1,6,8,5]=>[[1,2,3,4,7],[5,6],[8]]=>15
[2,3,4,6,1,8,7,5]=>[[1,2,3,4,6],[5,7],[8]]=>16
[6,3,5,8,4,2,7,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[7,4,8,5,3,2,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[1,8,4,5,2,3,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>9
[7,4,8,5,3,2,6,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[6,3,5,8,4,2,1,7]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[5,2,4,6,8,3,7,1]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[1,5,7,4,6,3,2,8]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[5,2,8,4,6,3,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[3,8,5,4,6,7,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[6,8,3,4,5,7,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[2,5,7,4,6,3,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[5,4,1,7,8,3,2,6]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[5,4,2,7,8,3,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[5,1,4,6,8,3,2,7]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[5,1,8,4,6,3,2,7]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[8,1,6,4,5,3,2,7]=>[[1,3,5,8],[2],[4],[6],[7]]=>15
[8,1,3,5,4,6,2,7]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[8,1,6,2,4,3,5,7]=>[[1,3,5,7,8],[2],[4],[6]]=>9
[8,7,1,2,4,3,5,6]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[1,7,6,2,4,3,5,8]=>[[1,2,5,7,8],[3],[4],[6]]=>10
[8,7,3,2,4,6,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[8,2,6,3,4,5,7,1]=>[[1,3,5,6,7],[2],[4],[8]]=>11
[1,7,6,3,4,5,2,8]=>[[1,2,5,6,8],[3],[4],[7]]=>11
[1,7,2,5,4,3,6,8]=>[[1,2,4,7,8],[3],[5],[6]]=>11
[8,7,2,4,5,3,6,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>15
[5,8,2,4,7,3,6,1]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[6,8,3,2,4,7,5,1]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[8,7,1,3,4,5,2,6]=>[[1,4,5,6,8],[2],[3],[7]]=>9
[8,1,6,3,4,5,2,7]=>[[1,3,5,6,8],[2],[4],[7]]=>10
[8,1,2,5,4,3,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[3,4,8,7,5,2,6,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>19
[3,2,8,6,1,5,4,7]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[8,6,1,2,4,3,5,7]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[8,7,3,6,4,2,5,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>19
[3,8,7,2,5,4,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[8,7,2,4,5,6,3,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[5,3,6,2,4,8,7,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[3,5,2,8,6,1,4,7]=>[[1,2,4,8],[3,5],[6,7]]=>15
[3,7,2,5,1,4,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>13
[5,1,8,6,2,3,4,7]=>[[1,3,6,7,8],[2,4],[5]]=>6
[2,5,4,1,8,6,3,7]=>[[1,2,5,8],[3,6],[4,7]]=>12
[3,7,6,1,8,2,5,4]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[7,6,3,1,8,2,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[8,2,3,6,1,4,7,5]=>[[1,3,4,7],[2,6,8],[5]]=>10
[1,8,2,6,3,4,7,5]=>[[1,2,4,6,7],[3,8],[5]]=>11
[8,1,3,6,4,7,2,5]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[7,1,3,6,4,8,2,5]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[8,2,1,3,5,7,4,6]=>[[1,4,5,6],[2,7,8],[3]]=>9
[8,2,6,3,1,4,7,5]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[7,5,4,1,3,8,2,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[2,7,5,8,3,4,1,6]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[7,3,8,5,4,1,2,6]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[7,2,3,6,1,4,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>10
[1,3,7,2,5,8,4,6]=>[[1,2,3,6],[4,5,8],[7]]=>16
[1,7,2,3,5,8,4,6]=>[[1,2,4,5,6],[3,8],[7]]=>13
[7,4,8,1,3,6,2,5]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[8,1,2,3,5,7,4,6]=>[[1,3,4,5,6],[2,8],[7]]=>11
[7,1,2,3,5,8,4,6]=>[[1,3,4,5,6],[2,8],[7]]=>11
[8,6,1,4,7,3,2,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[2,6,3,7,1,4,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>13
[2,6,3,8,1,4,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>14
[7,5,4,8,1,3,2,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[8,5,4,7,1,3,2,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[2,3,1,8,5,4,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>10
[8,6,5,1,3,4,2,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[8,5,1,7,6,3,4,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[3,4,7,6,1,8,5,2]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[3,5,2,6,7,1,8,4]=>[[1,2,4,5,7],[3,8],[6]]=>12
[3,2,8,4,7,5,1,6]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[8,4,7,5,1,3,2,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[3,8,1,6,5,2,7,4]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[6,1,2,8,3,4,7,5]=>[[1,3,4,6,7],[2,5],[8]]=>10
[6,8,3,1,7,2,4,5]=>[[1,2,7,8],[3,5],[4,6]]=>10
[3,7,2,5,6,1,8,4]=>[[1,2,5,7],[3,4],[6,8]]=>15
[6,8,4,2,5,1,7,3]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[2,7,5,3,8,4,1,6]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[8,3,1,4,7,2,6,5]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[8,3,2,1,5,7,4,6]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[2,8,3,6,4,7,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[7,3,6,4,8,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[8,3,6,4,7,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[1,2,8,3,5,7,4,6]=>[[1,2,3,5,6],[4,8],[7]]=>14
[1,8,3,2,5,7,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>13
[6,5,1,7,4,2,8,3]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[7,3,6,4,8,2,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[4,6,1,7,3,5,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>14
[5,6,1,7,3,4,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>14
[6,1,7,3,4,2,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>9
[7,3,8,1,6,5,2,4]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[8,3,7,1,6,5,2,4]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[5,1,7,4,2,8,6,3]=>[[1,3,6],[2,4,7],[5,8]]=>13
[2,8,1,7,6,5,3,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[4,2,8,6,5,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[6,4,2,8,5,1,7,3]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[8,6,4,7,1,5,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[7,6,4,8,1,5,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[5,1,6,4,2,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>8
[4,2,3,8,7,5,1,6]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[3,8,7,1,6,5,2,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[2,4,3,8,1,6,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>14
[2,4,3,7,1,6,8,5]=>[[1,2,4,7],[3,6],[5,8]]=>14
[4,2,3,7,8,5,1,6]=>[[1,3,4,5],[2,6,8],[7]]=>13
[5,1,6,4,2,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[6,4,7,8,1,5,2,3]=>[[1,3,4],[2,6,8],[5,7]]=>12
[8,7,4,6,1,5,2,3]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[6,5,7,8,1,4,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[4,7,8,6,1,5,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[3,2,4,7,8,1,5,6]=>[[1,3,4,5],[2,7,8],[6]]=>12
[3,2,4,8,7,1,5,6]=>[[1,3,4,8],[2,5],[6,7]]=>13
[4,8,7,6,1,5,2,3]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[5,8,7,6,1,4,2,3]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[8,6,5,7,1,4,2,3]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[5,1,6,7,4,2,3,8]=>[[1,3,4,8],[2,5,7],[6]]=>10
[6,7,4,8,1,5,2,3]=>[[1,2,4],[3,6,8],[5,7]]=>16
[8,4,7,6,1,5,2,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[8,3,2,4,7,1,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[7,3,2,4,8,1,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[2,5,3,7,1,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>13
[8,4,6,7,1,5,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[7,4,6,8,1,5,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[5,1,6,8,4,2,3,7]=>[[1,3,4,8],[2,5,7],[6]]=>10
[4,2,3,7,5,1,6,8]=>[[1,3,4,7,8],[2,5],[6]]=>8
[3,7,5,8,1,6,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>16
[2,4,3,7,1,6,5,8]=>[[1,2,4,8],[3,6],[5,7]]=>13
[2,4,7,1,5,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>17
[3,2,4,7,6,1,5,8]=>[[1,3,4,8],[2,5],[6,7]]=>13
[4,7,6,8,1,5,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[8,5,6,7,1,4,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[8,6,7,5,1,4,2,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[7,6,8,5,1,4,2,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[6,8,7,5,1,4,2,3]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[5,6,8,7,1,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[4,6,8,7,1,5,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[2,4,6,7,1,5,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>15
[3,2,4,6,1,5,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>7
[6,7,8,5,1,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[7,8,6,5,1,4,2,3]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[3,1,7,5,4,2,8,6]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[2,1,8,5,4,6,3,7]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[4,1,8,5,2,3,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>6
[5,4,1,3,6,7,2,8]=>[[1,4,5,6,8],[2],[3],[7]]=>9
[8,4,1,2,6,3,7,5]=>[[1,4,5,7],[2,6,8],[3]]=>8
[8,2,7,1,5,3,4,6]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[3,2,7,1,5,8,4,6]=>[[1,3,6],[2,5,8],[4,7]]=>9
[6,3,7,1,5,4,2,8]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[7,3,8,1,5,4,2,6]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[7,1,5,3,8,4,2,6]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[4,5,1,3,6,8,2,7]=>[[1,2,5,6],[3,4,8],[7]]=>12
[3,6,8,1,5,4,2,7]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[6,8,3,1,5,4,2,7]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[7,6,3,1,5,4,2,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[3,6,2,1,5,8,4,7]=>[[1,2,6],[3,5,8],[4,7]]=>12
[8,6,2,1,5,3,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[4,8,2,1,7,5,3,6]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[2,3,8,1,5,7,4,6]=>[[1,2,3,6],[4,5,8],[7]]=>16
[7,1,3,2,8,6,4,5]=>[[1,3,5,8],[2,6],[4,7]]=>9
[7,1,6,2,8,3,4,5]=>[[1,3,5,7,8],[2,6],[4]]=>6
[4,7,1,2,6,3,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>11
[2,7,8,1,5,3,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>14
[6,7,2,1,5,3,4,8]=>[[1,2,7,8],[3,5],[4,6]]=>10
[4,7,2,1,8,5,3,6]=>[[1,2,5],[3,6,8],[4,7]]=>15
[8,7,2,1,4,5,3,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[8,7,5,6,1,4,3,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>21
[5,7,8,6,1,4,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[2,7,4,1,6,5,3,8]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[3,7,1,4,5,6,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>11
[7,1,6,4,5,8,3,2]=>[[1,3,5,6],[2],[4],[7],[8]]=>17
[3,5,1,4,7,6,8,2]=>[[1,2,5,7],[3,4,6],[8]]=>12
[2,6,4,1,7,5,3,8]=>[[1,2,5,8],[3,6],[4,7]]=>12
[5,6,8,7,1,4,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[6,8,5,7,1,4,3,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[8,6,5,7,1,4,3,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>21
[8,5,7,6,1,4,3,2]=>[[1,3],[2,6],[4],[5],[7],[8]]=>22
[6,5,7,8,1,4,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[7,2,3,1,5,6,4,8]=>[[1,3,5,6,8],[2,7],[4]]=>7
[4,2,8,1,6,5,3,7]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[6,2,4,1,8,5,3,7]=>[[1,3,5,8],[2,6],[4,7]]=>9
[8,3,1,4,5,6,7,2]=>[[1,4,5,6,7],[2,8],[3]]=>7
[5,3,1,4,8,6,7,2]=>[[1,4,5,7],[2,6],[3,8]]=>9
[7,5,1,6,3,4,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[7,1,5,8,4,3,6,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[5,8,1,6,4,3,7,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[5,3,1,8,4,6,7,2]=>[[1,4,6,7],[2,5],[3,8]]=>8
[8,3,1,5,4,6,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[8,2,6,1,4,5,3,7]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[6,2,8,1,4,5,3,7]=>[[1,3,6,8],[2,5],[4,7]]=>8
[7,2,6,1,5,3,4,8]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[2,8,6,1,5,3,4,7]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[4,2,1,5,6,3,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>8
[7,1,2,5,8,3,4,6]=>[[1,3,4,5,8],[2,7],[6]]=>9
[7,1,4,5,6,8,3,2]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[8,5,6,7,1,4,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[7,6,8,5,1,4,3,2]=>[[1,3],[2,6],[4],[5],[7],[8]]=>22
[6,8,7,5,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>24
[2,6,7,1,4,5,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>15
[3,5,1,7,4,6,8,2]=>[[1,2,4,7],[3,5,6],[8]]=>15
[7,1,5,6,4,8,3,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[7,1,6,5,4,8,3,2]=>[[1,3,6],[2],[4],[5],[7],[8]]=>21
[2,7,6,1,4,5,3,8]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[5,7,6,8,1,4,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[7,8,6,5,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>24
[4,3,1,6,5,8,7,2]=>[[1,4,6],[2,5,7],[3,8]]=>9
[5,3,1,2,4,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>10
[5,3,6,2,1,8,7,4]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[5,3,7,2,1,4,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[5,3,7,2,8,4,1,6]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[7,2,4,5,8,3,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[7,2,4,5,1,3,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>7
[6,2,4,5,1,8,7,3]=>[[1,3,4,6],[2,7],[5,8]]=>12
[3,1,4,5,2,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>13
[1,6,4,5,2,8,7,3]=>[[1,2,4,6],[3,7],[5,8]]=>15
[3,7,4,5,1,2,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[3,7,4,5,8,2,1,6]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[1,7,4,2,6,3,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[8,7,4,5,2,1,6,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[6,3,7,1,8,4,2,5]=>[[1,3,5],[2,6,8],[4,7]]=>11
[5,7,4,1,6,3,2,8]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[1,7,4,8,6,3,2,5]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[5,7,4,8,6,3,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[4,8,3,5,6,7,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>16
[1,8,3,5,6,7,2,4]=>[[1,2,4,5,6],[3,8],[7]]=>13
[4,8,1,5,6,7,2,3]=>[[1,2,5,6],[3,4,8],[7]]=>12
[4,1,3,5,6,7,2,8]=>[[1,3,4,5,6,8],[2],[7]]=>7
[5,8,4,3,6,1,2,7]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[5,3,8,4,1,7,2,6]=>[[1,3,6],[2,4,8],[5,7]]=>12
[1,5,8,4,6,7,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[1,4,8,3,6,7,5,2]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[4,3,8,2,1,7,5,6]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[3,8,4,2,6,1,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[1,8,2,5,6,7,4,3]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[3,8,1,5,6,7,4,2]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[3,8,2,5,6,7,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>16
[8,2,1,5,6,7,4,3]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[8,1,3,5,6,7,4,2]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[7,1,4,3,6,2,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[7,8,4,3,6,2,1,5]=>[[1,2],[3,5],[4,8],[6],[7]]=>21
[4,3,1,8,5,7,6,2]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[4,3,1,6,8,7,5,2]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[6,3,1,8,2,7,4,5]=>[[1,4,6,8],[2,5],[3,7]]=>7
[6,3,5,8,2,7,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[7,5,4,8,6,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[7,1,4,8,6,2,3,5]=>[[1,3,4,8],[2,5],[6,7]]=>13
[7,5,4,1,6,2,3,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[7,6,4,5,8,1,3,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[1,6,4,5,8,2,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>15
[7,3,6,1,8,2,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>8
[1,7,6,5,8,3,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[1,8,5,3,6,7,4,2]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[8,3,5,2,1,7,4,6]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[8,4,1,5,6,7,3,2]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[8,4,2,5,6,7,1,3]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[4,1,8,5,6,7,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[1,2,8,5,6,7,3,4]=>[[1,2,3,5,6],[4,8],[7]]=>14
[4,2,1,5,6,7,3,8]=>[[1,4,5,6,8],[2,7],[3]]=>6
[1,5,3,8,6,7,4,2]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[1,4,5,8,6,7,3,2]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[4,3,5,8,1,7,2,6]=>[[1,3,4],[2,6,8],[5,7]]=>12
[3,5,4,8,6,1,2,7]=>[[1,2,4,8],[3,5],[6,7]]=>15
[1,4,8,5,6,7,2,3]=>[[1,2,3,5,6],[4,8],[7]]=>14
[3,4,8,5,6,7,1,2]=>[[1,2,3,5,6],[4,8],[7]]=>14
[2,7,1,5,6,3,4,8]=>[[1,2,5,8],[3,4,7],[6]]=>10
[2,7,1,4,3,6,5,8]=>[[1,2,6,8],[3,4,7],[5]]=>9
[4,3,7,2,5,6,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[2,6,3,1,4,5,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>10
[3,7,1,4,2,6,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>10
[3,7,1,5,6,2,8,4]=>[[1,2,5,7],[3,4,8],[6]]=>11
[4,7,1,5,6,8,2,3]=>[[1,2,5,6],[3,4,8],[7]]=>12
[8,5,2,6,7,3,1,4]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[8,4,2,6,3,7,1,5]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[8,4,2,3,5,7,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[4,7,3,2,5,6,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[5,3,4,6,2,8,1,7]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[5,3,7,4,2,8,1,6]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[6,4,7,2,3,8,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[6,5,7,2,8,3,1,4]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[5,3,7,2,4,8,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[2,6,5,1,8,3,4,7]=>[[1,2,5,8],[3,6,7],[4]]=>11
[8,7,6,1,4,5,2,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[8,7,6,1,3,2,5,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[8,7,2,4,3,1,6,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[8,7,4,5,1,6,2,3]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[8,5,6,4,1,7,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[8,5,6,3,1,2,7,4]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[8,4,6,2,3,1,7,5]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[8,3,5,4,2,1,7,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[5,7,3,4,2,1,8,6]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[6,7,4,2,3,1,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[6,7,5,3,1,2,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[6,7,5,4,1,8,2,3]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[10,3,1,2,4,5,6,7,8,9]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>3
[10,4,1,2,3,5,6,7,8,9]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>3
[5,10,1,2,3,4,6,7,8,9]=>[[1,2,5,6,7,8,9,10],[3,4]]=>4
[10,6,1,2,3,4,5,7,8,9]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>3
[10,7,1,2,3,4,5,6,8,9]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>3
[8,10,1,2,3,4,5,6,7,9]=>[[1,2,5,6,7,8,9,10],[3,4]]=>4
[4,3,1,10,2,5,6,7,8,9]=>[[1,4,6,7,8,9,10],[2,5],[3]]=>4
[7,3,5,4,1,8,6,2]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[2,6,5,7,3,1,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[6,3,2,4,7,5,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[4,2,1,6,3,7,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>5
[4,2,1,6,3,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>6
[4,2,1,3,7,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>10
[5,8,1,7,4,3,2,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[4,2,1,8,3,5,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>4
[4,2,1,6,3,8,7,5]=>[[1,4,6],[2,5,7],[3,8]]=>9
[7,3,4,2,6,8,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[3,6,7,5,2,4,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[3,6,7,5,2,4,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[4,2,1,7,3,6,5,8]=>[[1,4,6,8],[2,5],[3,7]]=>7
[3,7,6,8,4,2,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[5,8,1,7,4,2,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[3,7,8,6,2,4,5,1]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[4,2,1,3,5,8,6,7]=>[[1,4,5,6,8],[2,7],[3]]=>6
[4,2,1,8,3,7,6,5]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[2,6,1,5,4,7,8,3]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[4,6,3,5,8,7,1,2]=>[[1,2,5],[3,4,6],[7,8]]=>17
[3,5,6,1,4,8,7,2]=>[[1,2,3,6],[4,5,7],[8]]=>17
[2,7,5,1,8,3,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>11
[4,7,5,2,1,3,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[3,5,6,2,4,1,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[2,5,6,1,4,8,3,7]=>[[1,2,3,6],[4,5,8],[7]]=>16
[6,7,8,4,1,5,3,2]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[7,1,6,8,4,5,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[7,4,6,5,2,8,1,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[7,1,5,6,4,2,3,8]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[5,7,4,6,8,1,3,2]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[5,7,8,1,4,6,3,2]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[8,1,5,7,4,6,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[1,8,4,6,7,5,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[6,1,8,4,7,5,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[4,5,8,6,1,7,3,2]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[4,8,5,1,6,7,3,2]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[8,1,4,5,6,7,3,2]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[5,6,7,1,4,2,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>14
[8,4,2,6,1,5,7,3]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[4,8,5,2,1,6,7,3]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[5,1,8,4,2,6,3,7]=>[[1,3,6,8],[2,4],[5,7]]=>11
[1,8,4,6,2,5,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[6,1,5,2,3,4,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>4
[8,3,1,4,6,2,5,7]=>[[1,4,5,8],[2,6,7],[3]]=>7
[3,1,8,2,5,6,4,7]=>[[1,3,5,6,8],[2,4],[7]]=>8
[3,5,1,8,2,6,4,7]=>[[1,2,4,8],[3,5,6],[7]]=>14
[3,5,1,2,8,4,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>12
[2,3,5,8,6,1,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>14
[8,2,4,3,6,7,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[3,2,8,5,7,1,6,4]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[3,6,2,8,5,1,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>19
[6,2,1,8,4,7,5,3]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[2,8,7,1,4,6,5,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[8,2,7,1,5,4,6,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[7,2,5,3,6,8,1,4]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[7,3,1,5,6,2,4,8]=>[[1,4,5,8],[2,6,7],[3]]=>7
[3,7,5,1,6,2,4,8]=>[[1,2,5,8],[3,6,7],[4]]=>11
[2,7,3,6,5,8,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[8,7,2,4,1,6,5,3]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[1,8,7,2,3,6,5,4]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[1,7,8,2,6,4,3,5]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[1,7,3,8,2,6,4,5]=>[[1,2,4,8],[3,6],[5,7]]=>13
[1,2,7,3,6,4,5,8]=>[[1,2,3,5,7,8],[4],[6]]=>8
[7,1,5,8,3,2,4,6]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[1,6,2,8,4,3,7,5]=>[[1,2,4,7],[3,5],[6,8]]=>16
[1,3,8,7,2,4,6,5]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[1,8,3,7,2,5,4,6]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[8,1,4,7,3,2,5,6]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[4,7,8,1,3,2,5,6]=>[[1,2,3,8],[4,5,7],[6]]=>14
[7,1,4,2,3,5,6,8]=>[[1,3,5,6,7,8],[2],[4]]=>4
[8,2,1,4,7,3,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>7
[2,1,3,8,4,6,7,5]=>[[1,3,4,6,7],[2,5],[8]]=>10
[1,2,3,4,8,5,7,6]=>[[1,2,3,4,5,7],[6],[8]]=>12
[2,4,7,5,6,8,3,1]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[2,4,8,7,5,6,3,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>20
[2,5,3,8,4,7,6,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[2,8,5,7,3,6,4,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[3,1,8,5,2,7,6,4]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[2,8,6,3,4,5,7,1]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[2,5,7,3,4,8,6,1]=>[[1,2,3,6],[4,5,7],[8]]=>17
[8,3,7,6,1,4,5,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[3,1,7,8,2,5,6,4]=>[[1,3,4,7],[2,5,6],[8]]=>12
[7,3,8,5,1,6,4,2]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[7,5,1,2,3,4,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>7
[4,8,1,5,2,7,3,6]=>[[1,2,6,8],[3,4,7],[5]]=>9
[4,1,2,5,3,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>13
[4,3,6,8,7,5,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[5,4,1,8,2,7,6,3]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[6,4,8,1,2,5,3,7]=>[[1,3,6,8],[2,5],[4,7]]=>8
[6,7,3,1,4,8,5,2]=>[[1,2,6],[3,5,7],[4,8]]=>13
[5,4,1,6,8,2,7,3]=>[[1,4,5],[2,6,7],[3,8]]=>11
[5,4,7,1,2,8,6,3]=>[[1,3,6],[2,5,7],[4,8]]=>10
[6,7,4,1,2,8,3,5]=>[[1,2,6,8],[3,5,7],[4]]=>8
[6,5,1,2,3,7,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>7
[6,5,1,2,3,4,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>7
[6,7,4,1,2,5,3,8]=>[[1,2,6,8],[3,5],[4,7]]=>11
[2,4,6,3,5,7,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,4,6,3,7,2,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>12
[8,6,2,5,3,1,7,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[8,2,3,4,5,1,7,6]=>[[1,3,4,5,7],[2,8],[6]]=>10
[1,8,3,4,2,7,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>10
[2,8,3,4,1,6,7,5]=>[[1,2,4,6,7],[3,8],[5]]=>11
[8,7,2,3,1,6,5,4]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[3,8,2,4,6,1,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>15
[7,8,2,4,3,1,6,5]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[4,5,8,2,3,1,7,6]=>[[1,2,3],[4,5,7],[6,8]]=>20
[5,1,4,3,7,2,6,8]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[6,1,3,5,7,2,4,8]=>[[1,3,4,5,8],[2,7],[6]]=>9
[2,1,4,7,5,3,6,8]=>[[1,3,4,7,8],[2,5],[6]]=>8
[7,1,3,6,2,5,4,8]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[8,1,3,6,2,4,7,5]=>[[1,3,4,7],[2,6,8],[5]]=>10
[2,1,8,3,7,5,4,6]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[7,1,8,2,5,6,3,4]=>[[1,3,5,6],[2,4],[7,8]]=>14
[6,1,5,8,2,7,3,4]=>[[1,3,4,8],[2,6],[5,7]]=>10
[4,5,2,8,1,6,7,3]=>[[1,2,4,7],[3,6],[5,8]]=>14
[6,2,5,8,1,4,7,3]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[3,2,8,5,1,6,7,4]=>[[1,3,6,7],[2,4],[5,8]]=>12
[8,2,7,1,4,6,5,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[1,3,8,2,5,7,4,6]=>[[1,2,3,6],[4,5,8],[7]]=>16
[2,8,7,1,6,4,5,3]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[3,8,7,1,5,6,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[3,4,8,5,6,1,7,2]=>[[1,2,3,5,7],[4,8],[6]]=>13
[8,3,7,4,1,6,5,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[1,4,8,6,2,7,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>15
[8,4,5,7,1,6,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[3,5,6,8,4,1,7,2]=>[[1,2,3,4],[5,7],[6,8]]=>18
[6,2,3,1,5,4,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>6
[7,2,3,1,4,6,5,8]=>[[1,3,5,6,8],[2,7],[4]]=>7
[8,2,3,1,4,5,7,6]=>[[1,3,5,6,7],[2,8],[4]]=>8
[8,5,1,3,2,4,7,6]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[7,5,1,3,2,6,4,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[2,6,1,4,5,3,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>9
[3,6,4,1,5,2,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[4,5,6,1,3,2,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[4,5,7,1,2,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>15
[3,7,4,1,2,6,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>8
[6,7,1,4,2,5,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>13
[2,7,1,3,5,6,4,8]=>[[1,2,5,6,8],[3,4],[7]]=>10
[8,6,1,2,4,3,7,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[2,8,1,3,4,6,7,5]=>[[1,2,5,6,7],[3,4],[8]]=>11
[7,8,1,2,5,3,6,4]=>[[1,2,5,7],[3,4],[6,8]]=>15
[3,8,4,1,2,5,7,6]=>[[1,2,6,7],[3,5,8],[4]]=>9
[1,2,6,7,5,3,8,4]=>[[1,2,3,4,7],[5,8],[6]]=>14
[1,7,5,3,2,8,4,6]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[1,6,7,5,3,8,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[1,6,5,7,2,3,8,4]=>[[1,2,4,7],[3,6,8],[5]]=>13
[1,3,8,2,6,5,7,4]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[1,2,5,7,6,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>13
[1,3,4,8,2,5,7,6]=>[[1,2,3,4,7],[5,6],[8]]=>15
[1,5,7,6,2,3,4,8]=>[[1,2,3,7,8],[4,6],[5]]=>10
[1,5,3,8,2,6,4,7]=>[[1,2,4,8],[3,6],[5,7]]=>13
[1,4,8,3,2,5,7,6]=>[[1,2,3,7],[4,6],[5,8]]=>15
[1,4,8,3,5,7,6,2]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[1,2,4,8,3,5,7,6]=>[[1,2,3,4,7],[5,6],[8]]=>15
[1,3,8,4,2,6,7,5]=>[[1,2,3,6,7],[4,8],[5]]=>12
[1,4,8,2,3,5,7,6]=>[[1,2,3,6,7],[4,5],[8]]=>13
[6,5,7,3,8,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[4,2,6,7,5,8,3,1]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[6,7,5,2,1,8,4,3]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[3,4,8,7,5,2,1,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[1,7,5,2,8,4,6,3]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[5,6,8,3,1,7,2,4]=>[[1,2,3],[4,6,8],[5,7]]=>17
[6,1,4,8,3,2,7,5]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[3,4,7,1,8,6,2,5]=>[[1,2,3,5],[4,6,8],[7]]=>17
[3,4,6,8,2,1,5,7]=>[[1,2,3,4],[5,7,8],[6]]=>17
[3,8,2,5,6,1,4,7]=>[[1,2,5,8],[3,4],[6,7]]=>14
[3,5,2,8,6,4,1,7]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[4,2,5,7,3,8,6,1]=>[[1,3,4,6],[2,5,7],[8]]=>13
[7,4,2,5,3,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[3,1,2,8,5,6,4,7]=>[[1,3,4,6,8],[2,5],[7]]=>9
[5,2,1,6,8,3,4,7]=>[[1,4,5,8],[2,6,7],[3]]=>7
[5,2,6,8,4,1,3,7]=>[[1,3,4],[2,5,8],[6,7]]=>15
[1,5,6,8,3,4,2,7]=>[[1,2,3,4],[5,6,8],[7]]=>18
[4,5,8,1,6,3,2,7]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[4,5,1,6,8,3,2,7]=>[[1,2,4,5],[3,6,8],[7]]=>16
[4,5,7,3,8,2,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[6,4,3,7,8,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[6,4,3,1,7,8,2,5]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[4,5,3,1,7,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>13
[7,1,3,5,4,8,2,6]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[7,5,2,8,1,4,3,6]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[5,7,3,8,4,6,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>20
[1,4,5,7,3,8,6,2]=>[[1,2,3,4,6],[5,7],[8]]=>16
[4,6,3,7,8,5,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[5,3,6,7,8,4,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[1,5,3,6,7,8,4,2]=>[[1,2,4,5,6],[3,7],[8]]=>14
[4,6,1,7,3,8,5,2]=>[[1,2,4,6],[3,5,7],[8]]=>16
[6,3,7,1,8,4,5,2]=>[[1,3,5],[2,6,7],[4,8]]=>12
[6,7,2,4,8,1,5,3]=>[[1,2,5],[3,4,7],[6,8]]=>16
[2,6,1,4,7,3,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>11
[3,2,5,6,7,8,1,4]=>[[1,3,4,5,6],[2,8],[7]]=>11
[5,2,3,6,7,8,4,1]=>[[1,3,4,5,6],[2,7],[8]]=>12
[6,7,1,3,2,8,4,5]=>[[1,2,6,8],[3,4,7],[5]]=>9
[6,2,7,1,3,4,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>7
[5,2,1,7,3,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>5
[6,4,2,7,1,8,3,5]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[4,2,6,3,7,8,1,5]=>[[1,3,5,6],[2,4,8],[7]]=>10
[4,2,6,3,7,8,5,1]=>[[1,3,5,6],[2,4,7],[8]]=>11
[6,7,3,8,2,4,5,1]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[3,6,2,7,4,1,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>14
[6,7,3,2,1,4,8,5]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[7,1,8,3,4,2,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>7
[7,2,4,1,8,3,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>8
[7,2,4,8,6,1,3,5]=>[[1,3,4],[2,5,8],[6,7]]=>15
[7,3,4,8,6,2,1,5]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[3,5,7,2,1,8,6,4]=>[[1,2,3,6],[4,7],[5,8]]=>16
[6,7,8,3,2,5,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[6,3,7,8,2,5,4,1]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[2,6,7,4,8,5,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[6,2,4,7,1,8,5,3]=>[[1,3,4,6],[2,7],[5,8]]=>12
[4,6,2,7,1,8,5,3]=>[[1,2,4,6],[3,7],[5,8]]=>15
[1,7,4,8,5,2,6,3]=>[[1,2,4,7],[3,5],[6,8]]=>16
[1,3,7,8,5,2,6,4]=>[[1,2,3,4],[5,7],[6,8]]=>18
[2,5,7,8,1,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>18
[6,3,7,1,8,2,5,4]=>[[1,3,5],[2,6,7],[4,8]]=>12
[1,6,4,7,8,2,5,3]=>[[1,2,4,5],[3,7],[6,8]]=>16
[2,5,6,1,7,8,4,3]=>[[1,2,3,5,6],[4,7],[8]]=>15
[5,6,1,2,7,8,4,3]=>[[1,2,5,6],[3,4,7],[8]]=>13
[6,7,2,1,8,5,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>15
[6,7,2,8,5,4,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[1,6,7,4,8,5,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[1,8,2,4,6,3,5,7]=>[[1,2,4,5,8],[3,7],[6]]=>11
[1,5,7,4,3,6,2,8]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[1,8,4,5,3,6,2,7]=>[[1,2,4,6,8],[3],[5],[7]]=>12
[1,8,5,3,4,7,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[1,8,2,4,6,3,7,5]=>[[1,2,4,5,7],[3,8],[6]]=>12
[1,8,2,5,4,6,7,3]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[3,6,2,7,1,4,5,8]=>[[1,2,4,8],[3,6,7],[5]]=>12
[1,4,7,5,2,6,8,3]=>[[1,2,3,6,7],[4,8],[5]]=>12
[4,6,5,3,7,1,8,2]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[4,2,3,8,6,7,1,5]=>[[1,3,4,6],[2,5],[7,8]]=>15
[5,2,4,8,1,3,7,6]=>[[1,3,4],[2,6,7],[5,8]]=>13
[6,2,5,4,8,3,7,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[6,4,3,5,8,2,7,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[5,2,3,4,8,1,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>9
[3,5,2,4,7,1,6,8]=>[[1,2,5,8],[3,4,7],[6]]=>10
[5,3,4,8,1,6,2,7]=>[[1,3,4,8],[2,6],[5,7]]=>10
[4,5,3,7,1,6,2,8]=>[[1,2,4,8],[3,6],[5,7]]=>13
[7,6,3,8,5,1,2,4]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[4,2,6,7,3,8,1,5]=>[[1,3,4,6],[2,5,8],[7]]=>12
[1,5,7,4,2,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>16
[1,3,7,2,8,6,4,5]=>[[1,2,3,5],[4,6,8],[7]]=>17
[1,4,3,7,8,6,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>18
[1,5,3,6,8,2,7,4]=>[[1,2,4,5],[3,7],[6,8]]=>16
[4,3,6,5,7,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>14
[4,2,3,5,6,8,1,7]=>[[1,3,4,5,6],[2,8],[7]]=>11
[4,2,6,7,3,8,5,1]=>[[1,3,4,6],[2,5,7],[8]]=>13
[3,2,5,6,8,1,7,4]=>[[1,3,4,5],[2,7],[6,8]]=>13
[6,4,5,2,3,8,7,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[6,4,2,5,3,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[8,6,4,7,5,2,3,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[8,6,2,7,4,5,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[4,6,2,5,3,8,7,1]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[4,6,5,2,3,8,7,1]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[6,8,2,7,4,5,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[6,8,7,2,4,5,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[2,6,4,5,8,7,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[2,6,4,8,7,5,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[8,2,4,6,7,5,3,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[4,2,6,8,7,5,3,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[4,2,6,5,8,7,3,1]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[4,2,3,6,8,7,5,1]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[6,4,8,7,2,5,3,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[6,4,8,7,5,2,3,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[4,6,5,8,7,2,3,1]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[8,2,6,4,7,5,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[4,6,8,2,7,5,3,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[4,6,5,8,2,7,3,1]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[2,1,8,6,4,7,5,3]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[6,8,7,4,2,5,3,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[9,2,4,6,8,1,3,5,7]=>[[1,3,4,5],[2,7,8,9],[6]]=>15
[9,4,6,8,1,2,3,5,7]=>[[1,3,4,8,9],[2,6,7],[5]]=>9
[9,6,8,1,2,3,4,5,7]=>[[1,3,6,7,8,9],[2,5],[4]]=>5
[3,5,7,9,1,2,4,6,8]=>[[1,2,3,4,9],[5,6,7,8]]=>16
[5,7,9,1,2,3,4,6,8]=>[[1,2,3,7,8,9],[4,5,6]]=>9
[7,9,1,2,3,4,5,6,8]=>[[1,2,5,6,7,8,9],[3,4]]=>4
[10,9,8,7,6,5,2,4,1,3]=>[[1,8],[2,10],[3],[4],[5],[6],[7],[9]]=>30
[10,9,4,8,3,7,2,6,1,5]=>[[1,4],[2,6],[3,8],[5,10],[7],[9]]=>27
[10,9,8,7,2,4,6,1,3,5]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>21
[6,10,5,9,2,4,8,1,3,7]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>27
[10,9,2,4,6,8,1,3,5,7]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>18
[10,3,5,7,9,1,2,4,6,8]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>15
[10,5,7,9,1,2,3,4,6,8]=>[[1,3,4,8,9,10],[2,6,7],[5]]=>9
[10,7,9,1,2,3,4,5,6,8]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>5
[4,2,5,6,3,8,1,7]=>[[1,3,4,6],[2,5,8],[7]]=>12
[6,2,5,7,4,8,3,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[8,5,2,1,4,7,6,3]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[6,7,3,2,5,8,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[3,2,6,4,8,1,5,7]=>[[1,3,5,8],[2,4,7],[6]]=>8
[2,3,6,4,7,8,5,1]=>[[1,2,3,5,6],[4,7],[8]]=>15
[7,5,1,8,3,4,6,2]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[5,7,8,2,6,3,4,1]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[7,1,6,3,5,8,4,2]=>[[1,3,5,6],[2],[4],[7],[8]]=>17
[6,3,1,7,8,4,5,2]=>[[1,4,5],[2,6,7],[3,8]]=>11
[5,3,6,7,4,1,8,2]=>[[1,3,4,7],[2,5],[6,8]]=>14
[7,3,1,2,5,8,6,4]=>[[1,4,5,6],[2,7],[3,8]]=>10
[1,6,3,5,2,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>13
[3,4,8,2,7,5,1,6]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[6,3,2,8,5,7,4,1]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[3,8,4,7,2,5,6,1]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[2,4,8,1,5,3,7,6]=>[[1,2,3,7],[4,5,8],[6]]=>15
[3,4,8,1,6,2,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>15
[1,8,4,6,7,3,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[8,1,6,3,4,5,7,2]=>[[1,3,5,6,7],[2],[4],[8]]=>11
[7,6,5,4,1,2,8,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[5,7,6,8,3,4,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[2,8,1,6,5,7,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[4,6,8,2,5,3,7,1]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[5,2,3,7,6,1,8,4]=>[[1,3,4,7],[2,5],[6,8]]=>14
[8,1,2,4,6,7,3,5]=>[[1,3,4,5,6],[2,8],[7]]=>11
[5,2,3,7,4,8,6,1]=>[[1,3,4,6],[2,5,7],[8]]=>13
[5,2,6,8,4,3,1,7]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[7,8,1,5,4,3,6,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[7,2,4,8,5,3,6,1]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[3,7,5,1,8,4,6,2]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[2,7,8,5,4,6,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[5,7,4,3,8,6,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[4,8,1,6,3,5,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[8,3,1,7,4,2,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[3,1,8,2,4,5,7,6]=>[[1,3,5,6,7],[2,4],[8]]=>9
[8,1,3,7,6,2,4,5]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[2,3,6,8,7,1,4,5]=>[[1,2,3,4],[5,7,8],[6]]=>17
[4,3,2,8,5,7,1,6]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[3,6,4,2,8,5,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[4,7,3,2,5,1,8,6]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[3,2,4,7,5,8,6,1]=>[[1,3,4,6],[2,5,7],[8]]=>13
[4,2,3,8,6,5,1,7]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[2,4,3,5,1,8,6,7]=>[[1,2,4,6,8],[3,7],[5]]=>10
[3,2,8,1,4,6,5,7]=>[[1,3,6,8],[2,5],[4,7]]=>8
[4,7,8,3,1,2,6,5]=>[[1,2,3],[4,6,7],[5,8]]=>18
[4,7,8,2,1,3,6,5]=>[[1,2,3],[4,6,7],[5,8]]=>18
[4,1,6,8,2,3,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>12
[4,5,1,2,8,3,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>12
[4,6,2,8,1,3,7,5]=>[[1,2,4],[3,6,7],[5,8]]=>17
[3,6,2,8,4,7,1,5]=>[[1,2,4],[3,5,6],[7,8]]=>20
[3,2,6,8,4,7,1,5]=>[[1,3,4],[2,5,6],[7,8]]=>17
[4,2,6,8,3,1,7,5]=>[[1,3,4],[2,5,7],[6,8]]=>16
[4,2,5,1,8,3,7,6]=>[[1,3,5],[2,6,7],[4,8]]=>12
[4,1,2,5,8,3,7,6]=>[[1,3,4,5],[2,6,7],[8]]=>14
[5,2,4,1,3,8,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>10
[4,2,5,3,8,1,7,6]=>[[1,3,5],[2,4,7],[6,8]]=>14
[3,2,5,4,8,7,1,6]=>[[1,3,5],[2,4,6],[7,8]]=>15
[5,1,4,2,3,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>11
[5,4,1,3,2,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[5,4,3,1,2,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[3,5,1,4,8,7,2,6]=>[[1,2,5],[3,4,6],[7,8]]=>17
[2,5,6,8,7,3,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[3,4,5,1,8,7,2,6]=>[[1,2,3,5],[4,6,8],[7]]=>17
[4,3,6,8,2,1,7,5]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[2,4,6,8,3,7,5,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[3,4,5,2,8,7,1,6]=>[[1,2,3,5],[4,6],[7,8]]=>19
[5,3,1,4,2,8,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>9
[5,3,2,1,4,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[4,3,2,5,8,1,7,6]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[3,2,4,5,8,7,1,6]=>[[1,3,4,5],[2,6],[7,8]]=>16
[5,2,1,3,4,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>10
[5,1,2,3,4,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>12
[8,6,2,5,4,1,3,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[6,5,7,4,2,8,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[6,7,5,3,8,2,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[8,2,1,6,3,4,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>4
[8,3,5,6,2,4,1,7]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[8,6,2,1,3,5,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[8,1,2,3,4,6,5,7]=>[[1,3,4,5,6,8],[2],[7]]=>7
[6,2,3,7,8,4,5,1]=>[[1,3,4,5],[2,6,7],[8]]=>14
[7,5,8,2,6,3,4,1]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[7,3,1,6,5,8,4,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[1,5,6,7,3,4,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>15
[6,7,8,2,1,4,5,3]=>[[1,2,3],[4,6,7],[5,8]]=>18
[8,4,7,6,2,1,3,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[5,3,8,4,7,2,6,1]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[8,1,3,7,6,4,2,5]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[5,3,1,7,8,6,2,4]=>[[1,4,5],[2,6,8],[3,7]]=>10
[3,5,8,2,7,1,6,4]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[6,2,8,5,3,1,7,4]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[8,2,6,4,7,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[3,4,2,8,5,1,7,6]=>[[1,2,4,7],[3,5],[6,8]]=>16
[3,8,6,5,2,1,7,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[8,3,7,4,2,5,6,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>15
[4,8,5,7,2,1,3,6]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[3,4,1,8,2,6,7,5]=>[[1,2,4,7],[3,5,6],[8]]=>15
[8,4,6,3,7,1,5,2]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[6,8,3,4,1,5,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>14
[5,1,7,6,2,8,4,3]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[6,8,2,5,7,4,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[2,8,5,6,7,1,3,4]=>[[1,2,4,5],[3,7,8],[6]]=>15
[2,5,7,6,3,1,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[4,2,8,3,1,5,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>6
[2,5,7,3,8,4,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>18
[4,2,7,1,8,5,3,6]=>[[1,3,5],[2,6,8],[4,7]]=>11
[4,2,1,8,7,5,6,3]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[8,3,6,7,1,5,4,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[1,3,7,5,8,6,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[5,7,8,4,3,1,6,2]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[2,7,4,5,8,3,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[3,5,7,1,4,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>17
[7,2,8,5,1,4,6,3]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[1,6,5,3,8,4,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[5,7,4,8,3,6,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[4,8,6,1,3,5,2,7]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[1,8,3,2,4,7,5,6]=>[[1,2,5,6,8],[3,7],[4]]=>9
[8,4,3,2,5,7,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[3,6,4,8,2,5,7,1]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[4,3,7,2,5,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[3,2,4,7,8,5,6,1]=>[[1,3,4,5],[2,6,7],[8]]=>14
[2,6,4,3,8,5,1,7]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[3,8,2,1,6,4,5,7]=>[[1,2,7,8],[3,5],[4,6]]=>10
[8,2,1,3,4,5,7,6]=>[[1,4,5,6,7],[2,8],[3]]=>7
[4,6,8,3,2,1,5,7]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[3,2,6,8,5,4,1,7]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[7,3,8,2,5,4,1,6]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[4,2,5,3,8,7,6,1]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[4,8,2,6,5,3,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[2,6,8,5,4,1,3,7]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[3,1,8,6,5,4,2,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[5,4,8,7,3,2,6,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[6,4,8,3,7,2,5,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[4,7,3,6,2,1,8,5]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[5,4,3,7,1,8,2,6]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[7,3,8,5,1,4,2,6]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[5,4,8,7,6,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[3,8,1,5,7,4,6,2]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[4,8,5,7,3,1,6,2]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[1,5,4,8,3,7,6,2]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[4,8,3,6,7,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[4,7,8,3,1,6,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[8,7,5,3,6,4,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>20
[4,6,1,3,8,7,5,2]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[6,8,2,1,7,4,5,3]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[3,7,1,6,4,2,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[3,1,2,7,5,6,8,4]=>[[1,3,4,6,7],[2,5],[8]]=>10
[3,6,1,2,7,5,8,4]=>[[1,2,5,7],[3,4,6],[8]]=>12
[3,7,6,2,5,8,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[3,6,2,5,8,7,4,1]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[8,5,2,3,6,7,4,1]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[4,7,2,6,3,8,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[6,3,2,4,8,7,5,1]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[3,7,2,4,6,1,8,5]=>[[1,2,5,7],[3,4],[6,8]]=>15
[5,3,7,2,8,1,4,6]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[6,3,2,8,7,5,1,4]=>[[1,4],[2,5],[3,6],[7,8]]=>18
[7,3,8,2,6,5,1,4]=>[[1,3],[2,5],[4,6],[7,8]]=>19
[6,4,8,7,2,5,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>22
[2,5,4,8,1,7,6,3]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[5,2,8,1,7,6,3,4]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[6,2,1,3,8,7,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[3,6,1,8,7,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[5,6,1,2,8,7,4,3]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[7,5,2,8,1,6,4,3]=>[[1,4],[2,6],[3,7],[5,8]]=>13
[2,7,6,8,1,5,4,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[7,8,5,1,6,2,4,3]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[7,4,8,6,1,2,5,3]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[7,2,1,8,3,6,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[5,8,7,1,6,4,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>25
[10,7,6,5,4,3,2,1,9,8]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>29
[9,6,5,4,3,2,8,1,7]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>23
[9,7,5,4,3,2,1,8,6]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>22
[8,5,4,3,7,2,1,6]=>[[1,5],[2,8],[3],[4],[6],[7]]=>18
[6,5,4,8,3,2,7,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>20
[7,6,4,3,2,8,5,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>18
[7,3,1,4,8,2,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>7
[7,4,1,2,5,8,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>9
[6,7,4,2,5,1,3,8]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[5,7,2,4,6,8,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>16
[4,7,5,1,6,2,8,3]=>[[1,2,5,7],[3,6,8],[4]]=>12
[5,7,4,6,3,1,8,2]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[7,5,1,4,3,2,8,6]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[8,6,4,2,3,7,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[6,4,7,1,3,8,5,2]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[5,4,2,7,3,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[4,5,1,2,7,6,8,3]=>[[1,2,5,7],[3,4,6],[8]]=>12
[5,4,6,8,3,1,2,7]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[6,4,8,1,3,7,2,5]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[4,6,1,3,8,5,2,7]=>[[1,2,5,8],[3,4,6],[7]]=>11
[1,3,8,4,5,7,2,6]=>[[1,2,3,5,6],[4,8],[7]]=>14
[2,6,7,4,5,3,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[2,6,8,4,3,5,1,7]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[1,3,7,4,2,8,5,6]=>[[1,2,3,6,8],[4,7],[5]]=>11
[4,6,1,3,7,2,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>10
[7,5,8,6,2,1,3,4]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[2,8,1,3,6,5,4,7]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[2,8,7,3,5,4,1,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>16
[3,4,2,6,8,7,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>18
[7,4,2,3,6,1,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[8,4,2,3,6,5,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[7,3,8,4,1,2,6,5]=>[[1,3,7],[2,4,8],[5,6]]=>11
[6,8,3,2,7,1,5,4]=>[[1,2],[3,5],[4,7],[6,8]]=>19
[2,8,5,6,3,7,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[7,4,2,5,8,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[2,7,8,3,4,5,1,6]=>[[1,2,3,6,8],[4,5],[7]]=>12
[3,7,1,2,4,6,5,8]=>[[1,2,5,6,8],[3,4],[7]]=>10
[7,5,6,8,2,1,4,3]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[3,1,6,5,2,7,4,8]=>[[1,3,6,8],[2,4,7],[5]]=>7
[2,8,6,5,3,4,1,7]=>[[1,2,6,8],[3],[4],[5],[7]]=>15
[1,7,2,3,5,6,8,4]=>[[1,2,4,5,6,7],[3],[8]]=>9
[3,7,4,2,1,5,6,8]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[3,4,6,2,8,5,7,1]=>[[1,2,3,5],[4,6,7],[8]]=>18
[4,2,1,7,5,8,3,6]=>[[1,4,6],[2,5,8],[3,7]]=>8
[4,7,2,6,5,1,3,8]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[3,7,4,1,2,5,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>9
[4,7,1,6,5,2,8,3]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[4,7,3,6,5,1,8,2]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[4,3,7,1,6,8,5,2]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[4,2,1,7,5,6,8,3]=>[[1,4,6,7],[2,5],[3,8]]=>8
[3,2,4,8,6,7,1,5]=>[[1,3,4,6],[2,5],[7,8]]=>15
[4,2,6,8,7,3,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[3,4,6,1,8,5,2,7]=>[[1,2,3,5],[4,6,8],[7]]=>17
[4,1,6,7,5,8,2,3]=>[[1,3,4,6],[2,5,8],[7]]=>12
[4,3,6,7,5,1,2,8]=>[[1,3,4,8],[2,5],[6,7]]=>13
[4,3,7,1,6,8,2,5]=>[[1,3,6],[2,5,8],[4,7]]=>9
[4,3,7,5,6,8,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[4,1,7,3,6,5,2,8]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[2,8,7,4,5,3,1,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>16
[2,8,7,4,3,5,1,6]=>[[1,2,6,8],[3],[4],[5],[7]]=>15
[3,8,1,4,2,6,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>9
[4,1,7,3,6,2,5,8]=>[[1,3,5,8],[2,4],[6,7]]=>12
[5,8,7,6,1,2,4,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[5,8,7,6,2,1,3,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[4,1,7,2,6,8,5,3]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[4,2,7,3,6,1,8,5]=>[[1,3,5,7],[2,4],[6,8]]=>13
[4,2,7,3,6,5,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[3,8,2,4,5,6,7,1]=>[[1,2,5,6,7],[3,4],[8]]=>11
[3,8,2,4,1,6,7,5]=>[[1,2,6,7],[3,4],[5,8]]=>14
[3,8,5,6,2,4,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[2,8,6,5,3,7,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[3,8,6,5,1,4,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[3,8,2,1,4,6,7,5]=>[[1,2,6,7],[3,5],[4,8]]=>12
[3,8,2,5,4,6,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[4,2,7,5,6,3,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[4,2,7,5,6,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>13
[4,2,6,7,5,3,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[3,2,6,1,4,5,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>7
[2,8,7,3,4,5,1,6]=>[[1,2,5,6,8],[3],[4],[7]]=>11
[3,8,1,2,4,6,5,7]=>[[1,2,5,6,8],[3,4],[7]]=>10
[5,8,7,6,1,3,4,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[5,8,7,6,2,3,4,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[4,1,7,5,6,2,3,8]=>[[1,3,5,8],[2,4,7],[6]]=>8
[3,8,1,5,2,6,4,7]=>[[1,2,6,8],[3,4,7],[5]]=>9
[2,8,7,5,3,4,1,6]=>[[1,2,6,8],[3],[4],[5],[7]]=>15
[2,8,7,5,4,3,1,6]=>[[1,2,8],[3],[4],[5],[6],[7]]=>20
[4,1,7,5,6,3,2,8]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[5,8,7,6,1,3,2,4]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[5,8,7,6,4,1,2,3]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[5,4,2,3,7,6,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[7,4,3,5,2,8,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[8,4,3,7,5,1,6,2]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[8,4,7,2,5,1,6,3]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[7,4,6,2,3,5,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[5,1,7,2,4,6,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>9
[4,5,7,1,2,6,8,3]=>[[1,2,3,7],[4,5,6],[8]]=>16
[5,4,1,7,3,6,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[3,6,4,7,5,2,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[3,4,7,6,2,5,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[4,7,5,6,1,3,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[5,7,6,4,3,1,8,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[5,7,6,3,1,4,8,2]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[7,5,2,3,4,8,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[8,7,5,3,4,1,6,2]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[6,7,1,3,8,4,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>11
[7,6,1,3,4,8,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[3,6,5,2,7,8,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[3,2,8,6,7,1,4,5]=>[[1,3,5],[2,4,8],[6,7]]=>13
[4,8,3,6,5,2,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[1,8,6,5,4,2,3,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[1,8,7,2,3,5,4,6]=>[[1,2,5,6,8],[3],[4],[7]]=>11
[1,8,7,2,5,3,4,6]=>[[1,2,5,7,8],[3],[4],[6]]=>10
[3,6,8,5,1,2,4,7]=>[[1,2,3,8],[4,6,7],[5]]=>13
[3,7,5,1,8,2,6,4]=>[[1,2,5],[3,6,7],[4,8]]=>16
[7,1,2,8,3,5,6,4]=>[[1,3,4,6,7],[2,5],[8]]=>10
[6,1,7,8,2,5,3,4]=>[[1,3,4,8],[2,5,6],[7]]=>11
[6,7,5,2,8,1,4,3]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[7,1,4,5,8,6,2,3]=>[[1,3,4,5],[2,6],[7,8]]=>16
[5,7,6,4,2,8,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[7,5,6,1,2,8,4,3]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[4,1,3,7,8,6,2,5]=>[[1,3,4,5],[2,6],[7,8]]=>16
[5,1,4,3,6,8,7,2]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[4,5,7,6,8,2,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[5,7,6,8,4,2,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[5,1,6,8,4,2,7,3]=>[[1,3,4],[2,5,7],[6,8]]=>16
[7,4,8,2,3,6,5,1]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[5,6,8,4,7,3,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[6,4,7,8,5,2,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[3,6,4,8,5,1,2,7]=>[[1,2,4,8],[3,5],[6,7]]=>15
[3,7,4,8,1,2,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>12
[7,4,3,8,2,6,5,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[7,6,8,3,2,5,4,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>18
[8,7,1,3,5,4,6,2]=>[[1,4,5,7],[2],[3],[6],[8]]=>15
[7,1,8,3,4,2,6,5]=>[[1,3,5,7],[2,4],[6,8]]=>13
[7,6,8,3,1,4,5,2]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[3,1,4,8,2,5,7,6]=>[[1,3,4,7],[2,5,6],[8]]=>12
[4,8,5,2,1,3,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[5,8,2,6,3,1,4,7]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[6,8,2,3,7,4,1,5]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[7,8,2,3,4,6,5,1]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[8,1,7,2,4,5,3,6]=>[[1,3,5,6,8],[2],[4],[7]]=>10
[8,1,3,6,2,5,4,7]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[7,2,1,6,3,5,4,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[2,7,1,6,3,5,4,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[2,7,1,5,4,3,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[7,2,1,5,4,3,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[8,1,3,5,4,2,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[8,1,5,3,4,2,6,7]=>[[1,3,5,7,8],[2],[4],[6]]=>9
[8,1,5,6,2,3,7,4]=>[[1,3,4,7],[2,6,8],[5]]=>10
[8,1,4,5,3,2,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[8,1,4,3,5,2,6,7]=>[[1,3,5,7,8],[2],[4],[6]]=>9
[7,2,1,4,5,3,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>5
[2,7,1,4,5,3,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>9
[2,6,3,1,5,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[6,3,2,1,5,4,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[7,3,1,4,5,2,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>5
[7,3,1,5,4,2,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[7,3,1,6,2,5,4,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[3,7,1,6,2,5,4,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[3,7,1,4,5,2,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>9
[3,6,2,1,5,4,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>10
[2,3,6,1,5,4,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[3,5,2,4,1,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>8
[6,3,4,1,5,2,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>6
[6,2,4,1,5,3,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>6
[2,6,4,1,5,3,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[2,6,5,1,3,7,4,8]=>[[1,2,6,8],[3,5,7],[4]]=>8
[6,2,5,1,3,7,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>6
[6,5,2,1,3,7,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[7,6,1,2,4,5,3,8]=>[[1,4,5,6,8],[2],[3],[7]]=>9
[6,7,1,2,8,3,5,4]=>[[1,2,5,7],[3,4,6],[8]]=>12
[6,7,1,2,5,4,3,8]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[5,6,2,1,3,7,4,8]=>[[1,2,6,8],[3,5,7],[4]]=>8
[5,2,6,1,3,7,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>6
[2,4,6,1,5,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[4,7,1,3,5,2,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>9
[4,7,1,5,3,2,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[5,7,1,4,2,6,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>13
[5,7,1,6,2,3,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>10
[5,6,3,1,2,7,4,8]=>[[1,2,6,8],[3,5,7],[4]]=>8
[4,2,5,3,1,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[5,3,6,1,2,7,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>6
[3,4,6,1,5,2,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[6,5,1,8,7,3,4,2]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[8,2,7,5,4,1,3,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[6,8,5,2,3,4,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[8,5,6,2,7,1,4,3]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[6,5,1,2,7,8,4,3]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[4,7,6,1,5,3,8,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[5,7,6,4,1,3,8,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[7,6,2,4,5,3,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>15
[6,1,7,5,3,8,4,2]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[8,6,7,5,3,1,4,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[8,5,2,7,1,6,4,3]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[7,6,1,5,3,8,4,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[5,6,2,4,7,8,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>16
[3,4,6,1,7,8,5,2]=>[[1,2,3,5,6],[4,7],[8]]=>15
[3,4,8,6,7,1,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[4,8,5,6,7,2,3,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[5,8,6,4,1,2,7,3]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[5,8,6,1,7,2,4,3]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[5,8,7,3,2,6,4,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[5,8,1,7,2,6,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[8,1,5,7,2,6,4,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[8,1,7,2,5,6,3,4]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[6,8,7,2,5,1,3,4]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[5,8,7,2,1,6,3,4]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[4,8,1,5,2,6,7,3]=>[[1,2,6,7],[3,4,8],[5]]=>10
[3,7,8,5,1,6,2,4]=>[[1,2,3],[4,6,8],[5,7]]=>17
[6,5,2,7,8,1,4,3]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[7,1,2,8,5,6,3,4]=>[[1,3,4,6],[2,5],[7,8]]=>15
[8,7,2,1,5,6,3,4]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[8,6,7,1,5,2,3,4]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[6,1,7,8,5,2,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>10
[7,5,6,2,1,8,4,3]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[8,7,5,2,1,6,4,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[7,1,3,5,8,6,2,4]=>[[1,3,4,5],[2,6],[7,8]]=>16
[5,1,3,4,6,8,7,2]=>[[1,3,4,5,6],[2,7],[8]]=>12
[4,5,3,6,8,2,7,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[5,6,3,4,8,1,7,2]=>[[1,2,5],[3,4,7],[6,8]]=>16
[4,6,7,8,5,1,3,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[8,4,3,1,2,6,7,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[8,5,1,6,3,4,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[5,1,8,6,3,4,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[4,6,8,1,5,3,7,2]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[6,4,5,8,3,2,7,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[3,6,4,8,7,1,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[6,5,8,1,3,4,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[5,6,8,3,1,2,7,4]=>[[1,2,3],[4,6,7],[5,8]]=>18
[6,1,8,3,5,2,7,4]=>[[1,3,5,7],[2,4],[6,8]]=>13
[7,6,8,3,5,2,1,4]=>[[1,3],[2,5],[4,8],[6],[7]]=>18
[8,6,1,3,5,2,7,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[8,7,1,3,5,6,2,4]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[6,7,8,3,5,1,2,4]=>[[1,2,3],[4,5,8],[6,7]]=>19
[3,4,8,1,2,6,7,5]=>[[1,2,3,7],[4,5,6],[8]]=>16
[5,8,2,4,3,6,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[5,8,2,3,1,6,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>14
[6,8,2,3,5,1,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>15
[7,8,2,3,5,6,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>16
[8,6,5,1,4,3,7,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18
[2,6,5,4,1,3,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[4,1,7,6,3,8,2,5]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[4,8,2,5,7,6,3,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[3,4,6,5,1,8,2,7]=>[[1,2,3,6],[4,7,8],[5]]=>15
[2,6,5,3,4,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[4,6,1,5,2,3,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>10
[6,2,3,5,1,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>10
[2,6,7,5,1,8,4,3]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[8,6,1,2,5,3,4,7]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[6,2,5,1,8,3,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>8
[7,6,5,2,8,3,4,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[2,6,3,5,1,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>15
[2,4,7,6,5,8,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[2,1,4,8,7,6,3,5]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[7,4,6,8,5,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23
[8,1,3,5,7,4,6,2]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[3,2,8,7,5,1,6,4]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[4,8,5,1,6,7,2,3]=>[[1,2,5,6],[3,7,8],[4]]=>13
[3,8,5,1,6,7,2,4]=>[[1,2,5,6],[3,7,8],[4]]=>13
[7,8,6,1,3,5,2,4]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[5,6,7,2,8,1,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>16
[2,5,1,8,6,7,4,3]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[3,5,1,8,6,7,4,2]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[5,2,3,8,6,7,4,1]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[8,3,5,4,6,7,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[5,1,3,8,6,7,4,2]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[3,2,5,8,6,7,4,1]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[6,2,1,5,3,8,7,4]=>[[1,4,6],[2,5,7],[3,8]]=>9
[5,6,3,2,8,1,4,7]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[8,1,6,3,5,2,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,7,6,2,5,3,1,4]=>[[1,5,8],[2],[3],[4],[6],[7]]=>17
[4,7,6,8,3,2,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[2,7,5,8,1,3,4,6]=>[[1,2,4,8],[3,6,7],[5]]=>12
[7,6,2,8,5,1,4,3]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[8,1,3,7,5,2,6,4]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[3,4,8,7,5,1,6,2]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[6,3,8,1,4,2,5,7]=>[[1,3,7,8],[2,5],[4,6]]=>7
[6,3,8,5,7,4,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[7,4,6,8,5,1,3,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[2,1,4,8,7,5,6,3]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[7,1,5,8,2,6,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[3,6,8,2,4,1,7,5]=>[[1,2,3],[4,5,7],[6,8]]=>20
[4,5,8,2,6,7,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[5,2,8,1,6,7,3,4]=>[[1,3,6],[2,5,8],[4,7]]=>9
[2,5,8,4,6,7,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[5,8,3,4,6,7,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[8,4,3,2,6,7,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[4,2,8,1,6,7,3,5]=>[[1,3,6],[2,5,8],[4,7]]=>9
[2,4,8,1,6,7,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>16
[5,1,8,2,6,7,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>10
[3,4,8,7,2,1,5,6]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[7,8,5,3,6,4,2,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[2,8,5,7,4,1,3,6]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[5,8,4,1,6,7,2,3]=>[[1,2,6],[3,5,8],[4,7]]=>12
[3,8,1,4,6,7,2,5]=>[[1,2,5,6],[3,4,8],[7]]=>12
[8,2,3,4,6,7,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>11
[6,2,7,3,8,4,1,5]=>[[1,3,5,8],[2,4,6],[7]]=>9
[7,4,3,2,8,5,1,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[5,3,2,8,4,6,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[8,4,2,6,5,3,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[7,4,2,5,3,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[8,3,6,2,5,4,1,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[5,4,8,3,2,6,1,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[3,5,8,2,4,6,1,7]=>[[1,2,3,8],[4,5,6],[7]]=>15
[6,4,7,8,2,3,1,5]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[5,8,3,6,4,2,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[4,8,6,2,5,3,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[1,6,4,3,2,8,7,5]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[1,5,3,2,8,4,7,6]=>[[1,2,5,7],[3,6],[4,8]]=>13
[5,7,4,3,1,2,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[2,8,7,3,5,1,4,6]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[7,3,8,6,4,1,2,5]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[6,1,2,7,3,8,5,4]=>[[1,3,4,6],[2,5,7],[8]]=>13
[2,1,7,4,3,8,6,5]=>[[1,3,6],[2,4,7],[5,8]]=>13
[6,1,4,3,8,2,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[5,1,3,2,8,7,4,6]=>[[1,3,5,8],[2,6],[4,7]]=>9
[1,8,4,2,7,6,5,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[1,8,3,7,2,6,5,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[5,1,4,8,3,7,2,6]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[2,1,6,8,5,4,7,3]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[6,1,5,7,8,2,4,3]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[8,3,1,6,7,2,5,4]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[7,4,8,6,1,3,2,5]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[4,7,6,1,2,5,3,8]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[3,7,6,1,5,2,4,8]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[1,5,4,8,3,2,7,6]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[7,3,6,1,2,5,4,8]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[5,4,7,1,3,2,6,8]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[5,7,4,8,2,1,3,6]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[4,6,8,2,5,1,3,7]=>[[1,2,3],[4,5,8],[6,7]]=>19
[7,4,6,2,1,5,3,8]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[1,2,6,3,8,5,7,4]=>[[1,2,3,5,7],[4,6],[8]]=>14
[1,5,2,6,8,4,7,3]=>[[1,2,4,5],[3,6,7],[8]]=>17
[5,7,2,3,8,1,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>10
[6,4,7,5,8,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>13
[7,4,8,5,1,6,3,2]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[5,8,3,6,1,7,4,2]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[8,6,4,2,1,7,5,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[7,4,2,1,5,8,6,3]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[7,6,4,1,8,5,2,3]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[1,6,4,8,7,5,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[6,3,1,2,8,4,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>9
[7,5,1,3,2,8,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[4,7,1,2,5,8,6,3]=>[[1,2,5,6],[3,4,7],[8]]=>13
[6,8,4,1,2,7,5,3]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[7,5,8,1,2,6,4,3]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[7,4,8,1,6,3,5,2]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[5,8,2,1,7,3,6,4]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[3,6,1,8,2,4,7,5]=>[[1,2,4,7],[3,5,6],[8]]=>15
[1,3,8,7,6,2,5,4]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[5,4,1,8,7,3,2,6]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[3,5,1,8,7,2,4,6]=>[[1,2,4,8],[3,5,7],[6]]=>13
[4,6,1,8,3,7,2,5]=>[[1,2,4],[3,5,6],[7,8]]=>20
[4,7,1,2,8,6,3,5]=>[[1,2,5,8],[3,4,6],[7]]=>11
[5,8,4,1,7,6,2,3]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[7,6,8,1,5,4,2,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[8,6,1,7,5,4,3,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>22
[7,1,5,8,6,4,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[5,1,8,7,3,6,4,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[4,1,8,7,6,2,5,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[3,1,8,7,6,5,2,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[1,6,4,5,2,3,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[1,7,4,5,2,3,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[1,7,3,5,2,4,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[1,6,3,5,2,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[1,6,3,4,2,5,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>6
[1,7,3,4,2,5,6,8]=>[[1,2,4,6,7,8],[3],[5]]=>6
[1,8,6,7,3,4,2,5]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[1,8,5,7,3,4,2,6]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[1,7,3,4,2,6,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,5,2,8,4,7,3,6]=>[[1,2,4,6],[3,5],[7,8]]=>17
[1,4,2,8,5,7,3,6]=>[[1,2,4,6],[3,5,8],[7]]=>15
[1,7,3,5,2,6,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,8,4,7,3,5,2,6]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[1,7,3,6,2,5,4,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[1,7,3,6,2,4,5,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[1,7,4,6,2,3,5,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[1,8,5,6,2,3,4,7]=>[[1,2,4,7,8],[3,6],[5]]=>9
[1,8,5,6,2,4,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[1,3,2,8,5,6,4,7]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,4,2,8,5,6,3,7]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,5,2,8,4,6,3,7]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,6,2,8,4,5,3,7]=>[[1,2,4,6,8],[3,5],[7]]=>11
[9,1,2,3,5,4,6,7,8]=>[[1,3,4,5,7,8,9],[2],[6]]=>6
[8,1,2,4,5,3,6,7]=>[[1,3,4,5,7,8],[2],[6]]=>6
[2,3,4,6,5,7,8,9,1]=>[[1,2,3,4,6,7,8],[5],[9]]=>12
[9,1,2,3,5,6,4,7,8]=>[[1,3,4,5,6,8,9],[2],[7]]=>7
[2,3,4,7,5,6,8,9,1]=>[[1,2,3,4,6,7,8],[5],[9]]=>12
[2,3,4,6,7,5,8,9,1]=>[[1,2,3,4,5,7,8],[6],[9]]=>13
[3,4,7,8,5,6,9,10,1,2]=>[[1,2,3,4,7,8],[5,6],[9,10]]=>24
[1,2,7,8,5,6,3,4,9,10]=>[[1,2,3,4,9,10],[5,6],[7,8]]=>20
[1,2,5,6,7,8,3,4,9,10]=>[[1,2,3,4,5,6,9,10],[7,8]]=>12
[1,2,7,8,3,4,5,6,9,10]=>[[1,2,3,4,7,8,9,10],[5,6]]=>8
[1,2,3,6,7,4,5,8,9,10]=>[[1,2,3,4,5,8,9,10],[6,7]]=>10
[9,10,11,12,5,6,7,8,3,4,1,2]=>[[1,2,3,4],[5,6,7,8],[9,10],[11,12]]=>52
[7,8,9,10,11,12,3,4,5,6,1,2]=>[[1,2,3,4,5,6],[7,8,9,10],[11,12]]=>44
[11,12,9,10,5,6,7,8,1,2,3,4]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>32
[11,12,7,8,9,10,1,2,3,4,5,6]=>[[1,2,5,6,11,12],[3,4,9,10],[7,8]]=>20
[1,2,5,6,7,8,9,10,3,4,11,12]=>[[1,2,3,4,5,6,7,8,11,12],[9,10]]=>16
[1,2,3,6,7,8,9,4,5,10,11,12]=>[[1,2,3,4,5,6,7,10,11,12],[8,9]]=>14
[1,2,9,10,3,4,5,6,7,8,11,12]=>[[1,2,3,4,7,8,9,10,11,12],[5,6]]=>8
[1,2,3,8,9,4,5,6,7,10,11,12]=>[[1,2,3,4,5,8,9,10,11,12],[6,7]]=>10
[1,2,3,4,7,8,5,6,9,10,11,12]=>[[1,2,3,4,5,6,9,10,11,12],[7,8]]=>12
[1,2,3,4,5,6,7,8,9,10,11,12]=>[[1,2,3,4,5,6,7,8,9,10,11,12]]=>0
[8,6,4,7,2,1,3,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[1,6,4,7,2,8,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>14
[1,4,7,3,5,8,2,6]=>[[1,2,3,6],[4,5,8],[7]]=>16
[8,4,6,2,3,5,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[5,4,8,2,3,6,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[7,4,8,5,2,3,1,6]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[3,8,6,2,4,5,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[4,8,6,2,3,5,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[1,7,5,3,4,8,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[1,7,6,4,8,2,3,5]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[5,8,7,4,1,2,3,6]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[6,8,5,3,4,1,2,7]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[6,8,3,7,2,1,4,5]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[8,5,1,6,3,7,2,4]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[6,1,3,7,4,8,2,5]=>[[1,3,4,6],[2,5,8],[7]]=>12
[4,1,7,3,5,8,2,6]=>[[1,3,5,6],[2,4,8],[7]]=>10
[7,1,6,4,8,2,3,5]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[1,8,5,7,2,3,4,6]=>[[1,2,4,7,8],[3,6],[5]]=>9
[6,1,5,8,2,3,4,7]=>[[1,3,4,7,8],[2,6],[5]]=>7
[5,1,7,3,8,2,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>8
[6,1,5,7,8,2,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>12
[7,4,8,6,1,2,3,5]=>[[1,3,7,8],[2,4],[5,6]]=>10
[3,8,7,5,1,2,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[3,7,6,1,2,4,5,8]=>[[1,2,6,7,8],[3,5],[4]]=>7
[4,7,6,1,2,3,5,8]=>[[1,2,6,7,8],[3,5],[4]]=>7
[1,6,5,8,2,3,4,7]=>[[1,2,4,7,8],[3,6],[5]]=>9
[6,5,8,4,1,2,3,7]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[8,5,7,4,1,2,3,6]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[1,5,7,4,8,2,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>16
[7,6,4,8,2,1,3,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[7,6,2,3,8,1,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[7,4,8,5,1,6,2,3]=>[[1,3,6],[2,4,8],[5,7]]=>12
[8,6,2,3,1,7,4,5]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[8,6,4,1,2,7,3,5]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[1,7,2,8,6,3,4,5]=>[[1,2,4,7,8],[3,5],[6]]=>10
[7,6,1,3,8,2,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[7,5,8,1,3,6,2,4]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[5,4,1,8,2,3,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>4
[1,4,8,7,2,3,5,6]=>[[1,2,3,7,8],[4,6],[5]]=>10
[1,5,8,7,2,3,4,6]=>[[1,2,3,7,8],[4,6],[5]]=>10
[6,5,1,8,2,3,4,7]=>[[1,4,6,7,8],[2,5],[3]]=>4
[5,7,1,3,8,2,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>10
[7,6,8,1,5,2,3,4]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[7,1,5,8,6,2,3,4]=>[[1,3,4,8],[2,5],[6,7]]=>13
[6,1,8,2,7,3,4,5]=>[[1,3,5,7,8],[2,4],[6]]=>7
[4,1,8,7,2,3,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>6
[5,1,8,7,2,3,4,6]=>[[1,3,6,7,8],[2,4],[5]]=>6
[1,8,7,6,4,5,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>22
[1,8,7,3,6,5,4,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>23
[7,1,5,8,3,4,2,6]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[7,1,4,3,2,5,6,8]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[6,4,2,3,8,5,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[6,4,2,7,5,8,3,1]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[2,4,1,7,5,8,3,6]=>[[1,2,4,6],[3,5,8],[7]]=>15
[7,1,4,6,5,2,3,8]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[7,1,4,6,5,8,2,3]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[7,1,4,6,3,8,2,5]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[7,1,4,3,2,5,8,6]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[7,1,4,6,5,2,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[7,1,4,6,5,3,8,2]=>[[1,3,4,7],[2],[5],[6],[8]]=>17
[7,1,4,6,5,3,2,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[6,4,2,7,5,3,8,1]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[3,4,7,2,6,8,5,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[3,4,7,1,6,8,2,5]=>[[1,2,3,6],[4,5,8],[7]]=>16
[3,4,7,1,6,8,5,2]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[2,4,1,7,5,3,6,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[3,4,1,7,8,6,2,5]=>[[1,2,4,5],[3,6,8],[7]]=>16
[6,4,2,3,8,5,1,7]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[6,4,2,7,5,8,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[6,4,2,7,5,3,1,8]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[3,4,7,2,6,8,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>18
[5,4,7,3,6,8,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[3,4,7,2,6,5,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[4,8,3,2,5,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[4,8,7,3,5,1,2,6]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[4,8,7,1,3,5,2,6]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[4,8,3,1,2,6,5,7]=>[[1,2,6,8],[3,5],[4,7]]=>11
[3,4,7,1,6,2,5,8]=>[[1,2,3,8],[4,5,7],[6]]=>14
[3,4,7,1,6,2,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>15
[3,4,7,2,6,5,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[4,8,3,1,2,6,7,5]=>[[1,2,6,7],[3,5],[4,8]]=>12
[5,8,1,6,3,4,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[6,8,5,1,3,7,2,4]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[6,8,5,1,3,4,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[5,8,3,4,2,6,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[5,4,7,3,6,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[5,4,7,2,6,1,8,3]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[6,4,3,7,5,1,2,8]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[6,4,3,7,5,1,8,2]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[6,2,4,3,1,5,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[3,8,7,4,1,5,2,6]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[2,4,7,3,6,1,5,8]=>[[1,2,3,8],[4,5],[6,7]]=>16
[5,8,3,2,1,6,4,7]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[5,8,7,4,3,1,2,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[5,4,7,3,6,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[7,3,8,2,1,6,5,4]=>[[1,3],[2,6],[4,7],[5,8]]=>14
[7,4,3,8,5,2,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[6,5,2,8,4,3,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[4,3,2,8,6,5,1,7]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[4,3,8,7,5,1,6,2]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[3,2,5,8,6,1,4,7]=>[[1,3,4,8],[2,5],[6,7]]=>13
[8,4,3,7,5,2,6,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[4,3,7,8,5,1,2,6]=>[[1,3,4],[2,5,8],[6,7]]=>15
[5,3,7,8,4,1,2,6]=>[[1,3,4],[2,5,8],[6,7]]=>15
[6,2,5,8,3,1,4,7]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[6,2,4,8,3,1,5,7]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[5,2,3,8,4,1,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>8
[5,3,8,7,4,1,6,2]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[5,3,2,8,6,4,1,7]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[7,5,3,8,4,2,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[8,7,5,3,6,2,4,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[8,6,5,3,7,2,4,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[7,5,4,3,8,2,6,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[6,4,5,3,8,2,7,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[7,4,6,3,8,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[7,5,6,3,8,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[8,5,6,3,7,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[7,4,6,3,5,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,4,6,3,5,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,4,7,3,5,2,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,5,7,3,4,2,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[7,5,8,4,3,2,6,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>21
[6,5,8,4,3,2,7,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>21
[6,5,8,3,4,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[7,5,8,3,4,2,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[7,5,8,4,6,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[7,4,8,3,6,2,5,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[7,4,8,3,5,2,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[6,4,8,3,5,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[6,4,7,3,5,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[5,4,8,3,7,2,6,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[6,5,8,3,7,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[6,5,8,4,7,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[6,5,8,4,7,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>23
[6,4,7,3,8,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[5,4,7,3,8,2,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[5,4,6,3,8,2,7,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[5,3,6,2,4,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[5,3,6,1,4,8,7,2]=>[[1,3,6],[2,5,7],[4,8]]=>10
[5,3,7,2,4,6,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[4,3,1,5,6,8,7,2]=>[[1,4,5,6],[2,7],[3,8]]=>10
[4,2,1,5,8,6,3,7]=>[[1,4,5,8],[2,6],[3,7]]=>8
[4,2,1,5,8,6,7,3]=>[[1,4,5,7],[2,6],[3,8]]=>9
[4,2,1,5,8,7,6,3]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[4,3,1,5,7,8,6,2]=>[[1,4,5,6],[2,7],[3,8]]=>10
[4,3,1,7,5,8,6,2]=>[[1,4,6],[2,5,7],[3,8]]=>9
[6,7,3,1,4,8,2,5]=>[[1,2,6],[3,5,8],[4,7]]=>12
[5,3,7,1,4,8,2,6]=>[[1,3,6],[2,5,8],[4,7]]=>9
[4,3,1,5,7,8,2,6]=>[[1,4,5,6],[2,7,8],[3]]=>9
[3,2,1,8,5,4,6,7]=>[[1,4,7,8],[2,5],[3,6]]=>6
[3,2,1,8,5,7,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>8
[3,2,1,8,7,5,4,6]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[5,2,7,1,8,4,3,6]=>[[1,3,5],[2,6,8],[4,7]]=>11
[6,7,2,1,8,4,3,5]=>[[1,2,5],[3,6,8],[4,7]]=>15
[6,7,2,1,8,4,5,3]=>[[1,2,5],[3,6,7],[4,8]]=>16
[3,2,1,8,5,6,4,7]=>[[1,4,6,8],[2,5],[3,7]]=>7
[3,2,1,8,6,5,4,7]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[4,3,1,6,7,8,5,2]=>[[1,4,5,6],[2,7],[3,8]]=>10
[4,2,1,6,8,7,5,3]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[4,2,1,6,8,5,7,3]=>[[1,4,5],[2,6,7],[3,8]]=>11
[4,2,1,6,8,5,3,7]=>[[1,4,5],[2,6,8],[3,7]]=>10
[5,2,6,1,8,4,3,7]=>[[1,3,5],[2,6,8],[4,7]]=>11
[5,2,6,1,8,7,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[5,2,6,1,8,7,3,4]=>[[1,3,5],[2,6,8],[4,7]]=>11
[5,2,6,1,8,3,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>8
[4,2,1,6,8,3,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>11
[4,3,1,6,7,8,2,5]=>[[1,4,5,6],[2,7,8],[3]]=>9
[6,7,3,1,5,8,2,4]=>[[1,2,6],[3,5,8],[4,7]]=>12
[4,2,1,7,8,6,3,5]=>[[1,4,5],[2,6,8],[3,7]]=>10
[3,2,1,8,7,6,4,5]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[3,2,1,8,6,4,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>7
[3,2,1,8,6,4,5,7]=>[[1,4,7,8],[2,5],[3,6]]=>6
[3,2,1,8,4,6,5,7]=>[[1,4,6,8],[2,5],[3,7]]=>7
[3,2,1,8,4,6,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>8
[3,2,1,8,4,7,6,5]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[3,2,1,8,7,4,6,5]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[4,2,1,7,8,3,6,5]=>[[1,4,5],[2,6,7],[3,8]]=>11
[5,2,7,1,8,3,6,4]=>[[1,3,5],[2,6,7],[4,8]]=>12
[6,7,2,1,8,3,5,4]=>[[1,2,5],[3,6,7],[4,8]]=>16
[5,2,7,1,8,3,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>8
[4,2,1,7,8,3,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>7
[3,2,1,8,4,5,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>8
[7,5,2,8,6,3,4,1]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[7,4,8,6,2,5,3,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[7,3,8,6,2,4,5,1]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[7,4,3,1,8,2,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[7,4,2,8,5,6,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[7,3,8,5,2,4,6,1]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[7,3,8,4,5,6,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[6,3,8,2,4,5,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[6,3,8,2,5,7,4,1]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[6,4,3,8,1,5,2,7]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[6,3,7,8,2,4,1,5]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[5,6,7,3,8,2,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[5,4,7,2,6,8,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[5,3,8,2,4,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[6,3,8,2,4,7,5,1]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[5,7,4,2,6,8,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[6,4,8,2,7,5,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>19
[6,5,3,1,4,2,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[5,7,4,2,6,1,3,8]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[5,6,4,2,3,8,1,7]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[5,6,3,7,8,2,4,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[5,6,3,8,2,4,7,1]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[6,3,7,2,4,5,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[6,3,7,2,5,8,4,1]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[5,3,6,8,2,4,7,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[5,4,6,2,3,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[5,3,6,7,8,2,4,1]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[3,6,4,2,1,5,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[3,5,8,6,4,2,1,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[5,8,6,3,4,2,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[5,6,3,4,2,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[6,3,4,2,1,5,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[5,6,4,2,1,3,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[2,5,4,1,7,8,6,3]=>[[1,2,5,6],[3,7],[4,8]]=>14
[2,7,8,5,4,1,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[2,8,5,4,1,6,3,7]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[2,6,3,8,5,4,1,7]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[2,8,6,3,5,4,1,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>16
[5,8,6,4,2,1,3,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[4,2,1,5,7,8,6,3]=>[[1,4,5,6],[2,7],[3,8]]=>10
[2,7,8,6,3,5,4,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[4,3,8,5,7,6,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[7,6,2,1,8,4,3,5]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[2,1,8,5,6,4,3,7]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[4,2,1,8,5,6,3,7]=>[[1,4,6,8],[2,5],[3,7]]=>7
[8,4,2,1,5,6,3,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[2,5,6,3,8,4,1,7]=>[[1,2,3,5],[4,6,8],[7]]=>17
[6,3,4,2,1,8,5,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[3,7,8,5,6,4,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[3,8,5,6,4,2,1,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[3,6,4,2,1,8,5,7]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[3,8,6,4,2,1,5,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[3,7,8,6,4,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[8,5,3,7,6,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[7,6,2,4,1,8,5,3]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[8,5,4,1,7,6,2,3]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[7,6,2,3,8,5,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[2,1,7,8,6,4,3,5]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[2,1,6,4,3,7,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>8
[6,4,2,1,3,7,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[6,3,7,8,4,2,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[7,8,4,2,1,6,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[5,7,6,2,3,8,4,1]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[2,6,1,8,4,3,7,5]=>[[1,2,4],[3,5,7],[6,8]]=>19
[2,6,1,7,5,8,4,3]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[8,4,2,3,7,5,6,1]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[8,5,7,6,2,1,4,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[4,8,5,7,6,2,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[4,7,6,2,1,3,8,5]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[7,5,6,1,8,4,2,3]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[2,7,5,8,4,3,6,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[2,8,4,3,6,1,7,5]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[6,4,7,8,3,2,1,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[6,4,3,7,5,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[6,5,3,2,8,4,1,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[6,5,2,7,8,4,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[6,4,3,2,5,8,1,7]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[6,3,7,2,5,4,1,8]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[7,6,5,4,2,1,8,3,9]=>[[1,7,9],[2,8],[3],[4],[5],[6]]=>16
[6,3,2,7,5,4,1,8]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[8,7,6,5,4,3,1,10,9,2]=>[[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>24
[8,4,2,6,3,1,7,5]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[1,5,3,7,4,2,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>14
[1,6,7,3,4,2,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>15
[8,6,5,2,3,1,7,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[1,7,6,3,4,2,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[1,8,6,3,2,5,7,4]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[8,7,5,2,1,4,6,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[7,8,5,2,1,4,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[6,8,5,2,3,1,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[5,8,6,2,3,1,7,4]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[4,8,2,6,3,1,7,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[3,2,8,6,4,1,7,5]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[3,2,1,7,5,4,8,6]=>[[1,4,7],[2,5,8],[3,6]]=>7
[4,1,3,7,5,2,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>11
[5,1,7,3,4,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>9
[7,1,6,3,2,5,8,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[1,2,7,4,3,6,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>12
[6,1,8,2,4,5,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>9
[5,1,8,3,2,6,7,4]=>[[1,3,6,7],[2,4],[5,8]]=>12
[3,2,8,7,1,5,6,4]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[4,8,2,7,1,5,6,3]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[5,8,7,2,1,4,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[6,8,7,1,3,4,5,2]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[7,8,6,1,3,4,5,2]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[1,7,8,2,4,5,6,3]=>[[1,2,3,6,7],[4,5],[8]]=>13
[8,6,7,1,3,4,5,2]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[7,6,8,1,3,4,5,2]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[6,5,8,2,3,1,7,4]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[1,6,8,3,2,5,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>15
[1,5,3,8,2,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>14
[8,4,2,7,1,5,6,3]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[7,4,2,8,1,5,6,3]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[6,4,2,8,3,1,7,5]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[5,4,2,3,8,1,7,6]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[4,5,2,3,1,6,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>10
[7,4,2,1,3,6,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[8,4,2,1,3,6,7,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[1,5,3,2,4,7,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>10
[8,5,1,3,2,6,7,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[5,6,1,3,4,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>11
[4,6,2,1,5,3,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>11
[4,7,2,1,3,6,8,5]=>[[1,2,6,7],[3,5],[4,8]]=>12
[5,7,1,3,2,6,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>14
[6,7,1,2,4,5,8,3]=>[[1,2,5,6,7],[3,4],[8]]=>11
[8,6,1,2,4,5,7,3]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[1,8,2,3,5,6,7,4]=>[[1,2,4,5,6,7],[3],[8]]=>9
[8,7,1,2,4,5,6,3]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[7,8,1,2,4,5,6,3]=>[[1,2,5,6,7],[3,4],[8]]=>11
[5,8,1,3,2,6,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>14
[4,8,2,1,3,6,7,5]=>[[1,2,6,7],[3,5],[4,8]]=>12
[4,1,3,2,5,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>8
[5,1,2,4,3,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>9
[5,4,8,1,2,3,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>9
[1,4,7,6,3,2,5,8]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[4,8,3,2,7,6,1,5]=>[[1,2],[3,5],[4,6],[7,8]]=>22
[4,3,8,2,7,1,6,5]=>[[1,3],[2,5],[4,7],[6,8]]=>15
[4,3,2,8,1,7,6,5]=>[[1,4],[2,6],[3,7],[5,8]]=>13
[4,1,8,7,3,2,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[4,7,8,1,2,5,3,6]=>[[1,2,3,8],[4,5,6],[7]]=>15
[2,3,6,7,4,1,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>14
[2,6,3,4,7,8,1,5]=>[[1,2,4,5,6],[3,8],[7]]=>13
[3,1,7,8,4,2,5,6]=>[[1,3,4,8],[2,5,7],[6]]=>10
[3,7,8,2,6,4,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[3,7,2,4,8,6,1,5]=>[[1,2,5],[3,4,6],[7,8]]=>17
[1,3,6,4,7,2,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>12
[4,7,1,5,8,2,3,6]=>[[1,2,5,8],[3,4,7],[6]]=>10
[8,7,5,2,6,3,4,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[8,6,5,2,7,3,4,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[7,4,8,5,6,3,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[3,4,6,7,8,5,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>16
[1,2,6,4,7,5,8,3]=>[[1,2,3,5,7],[4,6],[8]]=>14
[3,1,7,5,4,2,6,8]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[6,3,8,5,4,7,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[1,6,2,5,4,7,8,3]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[1,8,2,5,6,3,7,4]=>[[1,2,4,5,7],[3,8],[6]]=>12
[1,2,6,4,8,5,7,3]=>[[1,2,3,5,7],[4,6],[8]]=>14
[7,8,3,1,4,2,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>10
[4,8,1,5,2,3,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>8
[7,4,1,5,2,3,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[5,6,1,8,4,3,2,7]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[5,1,8,6,4,3,2,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[5,1,6,3,8,7,2,4]=>[[1,3,5],[2,4,6],[7,8]]=>15
[6,1,2,5,8,3,7,4]=>[[1,3,4,5],[2,7],[6,8]]=>13
[6,1,8,7,4,3,2,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[7,1,2,5,4,8,6,3]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[1,2,7,5,8,3,6,4]=>[[1,2,3,5],[4,7],[6,8]]=>17
[4,1,6,3,7,5,2,8]=>[[1,3,5,8],[2,4,6],[7]]=>9
[1,3,6,7,8,5,2,4]=>[[1,2,3,4,5],[6,8],[7]]=>16
[1,2,6,4,7,8,5,3]=>[[1,2,3,5,6],[4,7],[8]]=>15
[4,1,6,3,7,8,2,5]=>[[1,3,5,6],[2,4,8],[7]]=>10
[3,1,6,4,8,2,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>14
[7,8,4,1,6,3,2,5]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[4,1,6,3,8,7,2,5]=>[[1,3,5],[2,4,6],[7,8]]=>15
[7,5,1,8,4,3,2,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[6,5,1,7,4,3,2,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[4,1,8,5,2,3,7,6]=>[[1,3,6,7],[2,4,8],[5]]=>8
[4,1,6,8,3,7,2,5]=>[[1,3,4],[2,5,6],[7,8]]=>17
[5,4,6,1,3,8,2,7]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[6,5,8,1,4,3,2,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[1,3,5,7,4,6,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>15
[1,3,5,4,7,2,6,8]=>[[1,2,3,5,8],[4,7],[6]]=>12
[1,3,5,4,7,8,2,6]=>[[1,2,3,5,6],[4,8],[7]]=>14
[1,3,5,4,7,2,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>13
[1,3,5,7,4,8,2,6]=>[[1,2,3,4,6],[5,8],[7]]=>15
[1,3,5,7,4,8,6,2]=>[[1,2,3,4,6],[5,7],[8]]=>16
[1,3,5,7,8,4,2,6]=>[[1,2,3,4,5],[6,8],[7]]=>16
[1,6,3,2,7,4,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>12
[3,5,1,6,2,8,7,4]=>[[1,2,4,6],[3,5,7],[8]]=>16
[1,3,7,2,5,4,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>15
[1,3,7,5,2,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>14
[2,5,7,4,3,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[2,5,3,7,4,8,1,6]=>[[1,2,4,6],[3,5,8],[7]]=>15
[3,2,6,7,8,1,5,4]=>[[1,3,4,5],[2,7],[6,8]]=>13
[3,5,2,7,8,4,1,6]=>[[1,2,4,5],[3,6,8],[7]]=>16
[1,5,7,4,8,3,2,6]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[3,5,2,6,8,4,7,1]=>[[1,2,4,5],[3,6,7],[8]]=>17
[2,5,7,4,3,8,6,1]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[1,5,7,2,4,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>17
[4,6,3,7,2,8,5,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[1,4,7,3,8,6,2,5]=>[[1,2,3,5],[4,6],[7,8]]=>19
[5,1,6,8,2,4,3,7]=>[[1,3,4,8],[2,5,6],[7]]=>11
[5,3,7,8,2,4,1,6]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[8,5,3,7,2,4,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[8,2,4,7,3,1,5,6]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[2,4,7,8,3,1,5,6]=>[[1,2,3,4],[5,7,8],[6]]=>17
[6,3,1,5,8,2,4,7]=>[[1,4,5,8],[2,6,7],[3]]=>7
[6,5,3,4,2,8,1,7]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[5,2,4,3,8,1,6,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[3,2,4,8,1,5,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>7
[3,2,4,6,8,1,5,7]=>[[1,3,4,5],[2,7,8],[6]]=>12
[8,1,5,7,3,2,4,6]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[8,4,6,7,2,3,1,5]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[4,6,7,8,2,3,1,5]=>[[1,2,3,4],[5,6,8],[7]]=>18
[7,4,6,8,2,3,1,5]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[7,2,4,8,3,1,5,6]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[5,3,8,7,2,4,1,6]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[2,4,8,7,3,1,5,6]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[4,6,8,7,2,3,1,5]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[8,7,4,6,2,3,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[5,6,8,7,2,3,1,4]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[6,4,8,7,2,3,1,5]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[3,1,7,4,2,8,6,5]=>[[1,3,6],[2,4,7],[5,8]]=>13
[3,2,8,4,1,7,6,5]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[7,6,4,8,2,3,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[5,7,6,8,2,3,1,4]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[4,7,6,8,2,3,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[8,6,4,7,2,3,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[8,2,3,7,4,1,6,5]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[2,3,7,8,4,1,6,5]=>[[1,2,3,4],[5,7],[6,8]]=>18
[3,7,4,8,2,5,1,6]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[2,3,7,4,1,6,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>12
[8,1,6,4,2,3,7,5]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[4,7,8,6,2,3,1,5]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[2,4,7,3,1,5,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>14
[6,3,1,7,4,2,8,5]=>[[1,4,7],[2,5,8],[3,6]]=>7
[8,5,7,6,2,3,1,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[7,5,8,6,2,3,1,4]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[7,1,6,4,2,3,8,5]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[3,1,7,6,4,2,8,5]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[4,8,7,6,2,3,1,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[6,8,7,5,2,3,1,4]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[4,3,6,1,5,8,7,2]=>[[1,3,6],[2,5,7],[4,8]]=>10
[4,3,6,5,1,8,7,2]=>[[1,3,6],[2,4,7],[5,8]]=>13
[4,6,3,5,1,8,7,2]=>[[1,2,6],[3,4,7],[5,8]]=>15
[4,6,3,1,5,8,7,2]=>[[1,2,6],[3,5,7],[4,8]]=>13
[4,1,6,5,3,8,7,2]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[4,6,1,5,3,8,7,2]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[2,6,5,3,1,8,7,4]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[2,6,5,1,8,7,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>15
[2,6,5,8,1,7,3,4]=>[[1,2,4],[3,6,8],[5,7]]=>16
[2,6,5,8,1,3,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>17
[2,6,5,8,3,1,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[2,6,5,3,8,1,7,4]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[4,6,1,5,8,3,7,2]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[4,1,6,5,8,3,7,2]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[1,4,6,5,8,3,7,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[4,1,6,5,8,7,3,2]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[2,6,5,3,8,7,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[6,4,3,8,7,1,5,2]=>[[1,4],[2,5],[3,7],[6,8]]=>14
[6,4,8,3,7,1,5,2]=>[[1,3],[2,5],[4,7],[6,8]]=>15
[2,6,8,5,3,7,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[4,6,8,1,5,7,3,2]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[4,6,1,8,5,7,3,2]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[4,1,6,8,5,7,3,2]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[1,4,6,8,5,7,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[1,4,6,8,5,3,7,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[4,6,1,8,5,3,7,2]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[2,6,8,5,3,1,7,4]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[2,6,8,5,1,7,3,4]=>[[1,2,3],[4,6,8],[5,7]]=>17
[4,6,8,3,5,1,7,2]=>[[1,2,3],[4,5,7],[6,8]]=>20
[4,6,8,3,1,5,7,2]=>[[1,2,3],[4,6,7],[5,8]]=>18
[4,6,3,1,8,5,7,2]=>[[1,2,5],[3,6,7],[4,8]]=>16
[4,6,3,8,1,5,7,2]=>[[1,2,4],[3,6,7],[5,8]]=>17
[4,6,3,8,5,7,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>20
[4,3,6,8,1,5,7,2]=>[[1,3,4],[2,6,7],[5,8]]=>13
[4,3,6,1,8,5,7,2]=>[[1,3,5],[2,6,7],[4,8]]=>12
[4,3,1,6,8,5,7,2]=>[[1,4,5],[2,6,7],[3,8]]=>11
[4,1,3,6,8,7,5,2]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[4,3,6,1,8,7,5,2]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[4,3,6,8,1,7,5,2]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[6,5,2,8,7,3,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[6,5,2,8,7,1,3,4]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[6,2,5,8,7,1,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>15
[6,2,5,8,7,3,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[4,6,3,8,1,7,5,2]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[4,6,3,1,8,7,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[4,1,6,3,8,7,5,2]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[1,4,6,3,8,7,5,2]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[4,1,6,8,3,7,5,2]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[4,6,1,8,3,7,5,2]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[4,6,8,1,3,7,5,2]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[6,2,8,5,7,3,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[6,2,8,5,7,1,3,4]=>[[1,3,5],[2,4,8],[6,7]]=>13
[2,4,8,7,1,5,3,6]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[4,2,8,7,5,3,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[6,4,1,8,7,5,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[6,1,4,8,7,5,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[1,6,4,8,7,3,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[6,4,1,8,7,3,5,2]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[4,2,8,7,5,1,3,6]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[2,4,8,7,3,5,1,6]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[2,3,4,5,6,8,9,7,1]=>[[1,2,3,4,5,6,7],[8],[9]]=>15
[2,3,4,5,7,8,9,6,1]=>[[1,2,3,4,5,6,7],[8],[9]]=>15
[2,4,5,6,7,8,9,3,1]=>[[1,2,3,4,5,6,7],[8],[9]]=>15
[2,3,4,7,8,5,6,1]=>[[1,2,3,4,5],[6,7],[8]]=>17
[2,3,7,1,4,8,6,5]=>[[1,2,3,6],[4,5,7],[8]]=>17
[2,6,1,3,7,8,5,4]=>[[1,2,5,6],[3,4,7],[8]]=>13
[1,5,3,2,6,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[1,5,3,2,6,7,4,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,7,3,2,8,5,4,6]=>[[1,2,5,8],[3,6],[4,7]]=>12
[1,3,2,7,5,4,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>14
[6,5,2,4,3,7,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>13
[6,4,2,5,3,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[5,4,7,6,2,3,1,8]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[3,6,4,8,2,1,5,7]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[1,6,2,8,5,3,4,7]=>[[1,2,4,7,8],[3,5],[6]]=>10
[4,6,2,3,7,5,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>11
[4,7,2,3,6,5,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[4,7,2,3,5,6,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>10
[5,3,2,7,4,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[5,3,2,6,4,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[4,6,2,3,5,7,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>10
[3,5,2,1,6,8,4,7]=>[[1,2,5,6],[3,7,8],[4]]=>13
[1,5,2,6,8,4,3,7]=>[[1,2,4,5],[3,6,8],[7]]=>16
[1,5,7,2,8,4,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>17
[3,5,2,1,8,6,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>12
[3,6,8,4,2,1,5,7]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[4,3,2,6,1,8,5,7]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[1,5,8,2,7,4,3,6]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[1,7,2,3,4,8,6,5]=>[[1,2,4,5,6],[3,7],[8]]=>14
[6,8,2,3,4,1,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>15
[4,1,8,2,3,5,7,6]=>[[1,3,5,6,7],[2,4],[8]]=>9
[2,3,1,8,4,5,7,6]=>[[1,2,4,6,7],[3,5],[8]]=>12
[7,3,2,1,4,5,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[7,8,1,4,3,5,2,6]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[7,1,2,3,4,6,8,5]=>[[1,3,4,5,6,7],[2],[8]]=>8
[6,1,2,3,4,8,7,5]=>[[1,3,4,5,6],[2,7],[8]]=>12
[1,8,2,3,4,7,6,5]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[8,1,2,3,4,6,7,5]=>[[1,3,4,5,6,7],[2],[8]]=>8
[2,8,1,3,5,4,7,6]=>[[1,2,5,7],[3,4,8],[6]]=>11
[8,7,1,4,3,5,2,6]=>[[1,4,6,8],[2],[3],[5],[7]]=>13
[8,3,2,1,4,5,7,6]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[3,8,2,1,5,6,4,7]=>[[1,2,6,8],[3,5],[4,7]]=>11
[3,8,2,1,6,5,4,7]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[1,7,8,3,5,4,2,6]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[7,4,1,8,3,5,2,6]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[8,4,1,7,3,5,2,6]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[3,8,4,6,2,1,5,7]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[8,4,2,5,3,1,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[8,5,2,4,3,1,6,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[8,3,2,5,4,1,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[4,3,2,5,1,8,6,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[3,5,2,4,1,8,6,7]=>[[1,2,6,8],[3,4,7],[5]]=>9
[2,4,7,8,1,5,3,6]=>[[1,2,3,4],[5,6,8],[7]]=>18
[1,8,7,3,5,4,2,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>16
[5,1,8,2,7,4,3,6]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[5,1,7,2,8,4,3,6]=>[[1,3,5,8],[2,4,6],[7]]=>9
[6,1,2,8,5,3,4,7]=>[[1,3,4,7,8],[2,5],[6]]=>8
[6,3,2,1,8,4,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[7,3,2,8,4,5,1,6]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[2,7,8,4,3,5,1,6]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[7,1,8,3,5,4,2,6]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[7,8,2,3,4,6,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>16
[6,7,1,3,4,8,2,5]=>[[1,2,5,6],[3,4,8],[7]]=>12
[6,8,1,3,4,7,2,5]=>[[1,2,5,6],[3,4],[7,8]]=>16
[1,7,2,3,4,6,8,5]=>[[1,2,4,5,6,7],[3],[8]]=>9
[1,6,2,3,4,8,7,5]=>[[1,2,4,5,6],[3,7],[8]]=>14
[7,6,2,3,4,1,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[8,6,2,3,4,1,7,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[8,1,7,3,5,4,2,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>15
[8,3,2,7,4,5,1,6]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[6,7,2,3,4,1,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>11
[7,6,2,3,4,8,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[8,6,2,3,4,7,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[6,3,4,8,7,5,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[4,8,7,3,5,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[4,8,7,5,3,6,1,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[5,8,7,3,4,6,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[5,8,4,2,1,6,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[5,8,4,1,2,6,7,3]=>[[1,2,6,7],[3,5],[4,8]]=>12
[5,3,7,2,6,1,8,4]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[5,2,8,1,6,3,7,4]=>[[1,3,7],[2,5,8],[4,6]]=>8
[5,8,2,1,4,7,6,3]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[4,8,2,5,1,7,6,3]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[7,8,4,1,2,6,5,3]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[4,8,1,5,2,7,6,3]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[5,8,1,2,4,7,6,3]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[5,2,8,3,6,7,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>14
[3,8,7,6,2,4,1,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[2,8,7,6,4,1,3,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[7,8,2,6,5,1,3,4]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[1,8,7,6,4,2,3,5]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[2,8,7,6,3,1,4,5]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[1,8,7,6,2,4,3,5]=>[[1,2,6,8],[3],[4],[5],[7]]=>15
[1,8,7,6,3,4,2,5]=>[[1,2,6,8],[3],[4],[5],[7]]=>15
[2,8,1,4,5,6,7,3]=>[[1,2,5,6,7],[3,4],[8]]=>11
[2,1,7,3,6,5,8,4]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[3,1,7,2,6,5,8,4]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[3,2,7,1,6,5,8,4]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[6,1,2,8,5,7,3,4]=>[[1,3,4,6],[2,5],[7,8]]=>15
[6,2,1,8,5,7,3,4]=>[[1,4,6],[2,5,8],[3,7]]=>8
[6,3,1,8,5,7,2,4]=>[[1,4,6],[2,5,8],[3,7]]=>8
[6,4,2,1,7,5,8,3]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[6,1,3,8,5,2,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>14
[2,3,7,1,6,8,5,4]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[1,3,7,2,6,8,5,4]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[7,8,2,6,5,3,1,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[3,2,6,7,5,8,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>15
[1,2,7,5,6,3,8,4]=>[[1,2,3,5,7],[4,8],[6]]=>13
[2,8,7,6,4,3,1,5]=>[[1,2,8],[3],[4],[5],[6],[7]]=>20
[3,8,7,6,1,2,5,4]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[3,8,7,6,2,1,5,4]=>[[1,2],[3,7],[4,8],[5],[6]]=>19
[4,8,7,6,2,1,3,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[4,8,7,6,1,3,2,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[3,8,7,6,4,1,2,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[7,8,3,6,5,1,2,4]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[2,3,7,5,6,8,1,4]=>[[1,2,3,5,6],[4,8],[7]]=>14
[3,8,7,6,4,2,1,5]=>[[1,2,8],[3],[4],[5],[6],[7]]=>20
[5,1,4,6,8,2,3,7]=>[[1,3,4,5],[2,7,8],[6]]=>12
[1,7,6,3,5,4,8,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>17
[4,3,7,2,6,5,1,8]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[3,4,6,1,5,7,2,8]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,6,8,5,7,3,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[2,4,1,5,8,6,3,7]=>[[1,2,4,5,8],[3,6],[7]]=>12
[4,6,1,2,5,8,3,7]=>[[1,2,5,6],[3,4,8],[7]]=>12
[5,6,7,2,1,4,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>15
[7,8,6,5,1,2,4,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[1,3,6,5,7,8,2,4]=>[[1,2,3,5,6],[4,8],[7]]=>14
[7,4,8,5,3,1,6,2]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[6,8,5,2,4,1,7,3]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[2,3,1,6,8,5,7,4]=>[[1,2,4,5],[3,6,7],[8]]=>17
[7,3,2,5,1,4,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[7,1,4,2,3,6,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>8
[1,5,8,3,4,6,7,2]=>[[1,2,3,6,7],[4,5],[8]]=>13
[8,3,1,2,4,7,6,5]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[2,3,8,1,6,5,4,7]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[8,1,4,7,2,5,3,6]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[3,5,2,4,1,7,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>10
[3,4,7,8,6,2,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[3,4,8,6,2,7,1,5]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[5,8,2,1,6,7,3,4]=>[[1,2,6],[3,5,8],[4,7]]=>12
[5,7,2,8,6,4,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[6,1,2,7,5,3,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>11
[7,3,2,8,6,4,1,5]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[2,7,8,4,6,3,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[1,4,5,7,2,6,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>15
[7,3,5,2,6,1,8,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,5,2,3,6,1,7,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[8,1,6,3,5,7,2,4]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[2,8,6,4,3,7,1,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[8,3,2,6,4,7,1,5]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[2,3,8,7,6,5,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[1,2,8,7,3,6,5,4]=>[[1,2,3,6],[4],[5],[7],[8]]=>20
[4,2,8,7,3,6,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[4,5,8,7,1,2,6,3]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[1,5,8,7,3,2,6,4]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[4,5,8,7,3,2,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[2,6,8,1,7,5,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[3,6,8,4,7,2,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[2,5,8,3,7,6,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[3,2,8,4,7,6,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[1,5,8,3,7,2,6,4]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[3,5,8,4,7,2,1,6]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[5,6,8,2,3,7,1,4]=>[[1,2,3],[4,5,6],[7,8]]=>21
[1,6,8,4,2,7,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[1,5,8,4,2,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[1,5,8,2,3,7,6,4]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[2,1,8,4,3,7,6,5]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[2,5,8,4,3,7,1,6]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[5,6,8,4,1,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>18
[5,6,8,1,3,2,7,4]=>[[1,2,3],[4,5,7],[6,8]]=>20
[1,6,8,4,3,2,7,5]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[5,6,8,4,3,2,1,7]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[7,1,2,8,6,5,4,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[7,1,4,8,6,2,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[7,3,1,8,6,2,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[7,2,4,8,3,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[7,1,4,8,3,2,6,5]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[7,4,5,8,3,2,1,6]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[1,6,2,8,7,5,4,3]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[1,6,4,8,7,2,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[3,6,4,8,7,2,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[3,2,5,8,7,6,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[3,2,4,8,7,6,1,5]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[3,1,5,8,7,2,6,4]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[3,1,4,8,7,2,6,5]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[1,6,4,8,2,7,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[1,4,5,8,2,7,6,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[2,4,5,8,3,7,1,6]=>[[1,2,3,4],[5,6],[7,8]]=>20
[4,6,5,8,1,2,7,3]=>[[1,2,4],[3,6,7],[5,8]]=>17
[1,6,4,8,3,2,7,5]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[1,4,5,8,3,2,7,6]=>[[1,2,3,4],[5,7],[6,8]]=>18
[7,6,1,4,8,2,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[7,6,1,3,8,2,5,4]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[7,6,3,4,8,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[7,2,5,1,8,6,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[7,2,5,3,8,6,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[7,2,1,4,8,6,5,3]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[7,2,1,3,8,6,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[7,2,3,4,8,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>16
[7,3,5,4,8,2,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[2,6,5,1,8,7,4,3]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[2,3,5,4,8,7,1,6]=>[[1,2,3,5],[4,6],[7,8]]=>19
[1,6,5,4,8,2,7,3]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[1,6,5,3,8,2,7,4]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[1,6,3,4,8,2,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>16
[1,3,5,4,8,2,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>17
[3,6,5,4,8,2,1,7]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[7,6,5,2,3,8,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[7,6,1,4,2,8,5,3]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[7,6,1,2,3,8,5,4]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[7,6,2,4,3,8,1,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[7,1,5,4,2,8,6,3]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[7,1,5,2,3,8,6,4]=>[[1,3,5,6],[2,7],[4,8]]=>11
[7,1,2,4,3,8,6,5]=>[[1,3,4,6],[2,7],[5,8]]=>12
[2,6,5,4,3,8,1,7]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[7,6,1,4,3,2,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[7,1,5,4,3,2,8,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[3,4,2,6,7,8,1,5]=>[[1,2,4,5,6],[3,8],[7]]=>13
[3,1,4,2,6,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>11
[8,3,4,2,6,1,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[2,6,7,3,5,4,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[2,7,8,3,5,4,1,6]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[2,6,8,3,5,4,1,7]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[4,7,1,2,8,5,3,6]=>[[1,2,5,8],[3,4,6],[7]]=>11
[4,8,1,2,7,5,3,6]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[2,1,6,3,7,5,4,8]=>[[1,3,5,8],[2,4,6],[7]]=>9
[2,7,1,3,6,8,4,5]=>[[1,2,5,6],[3,4,8],[7]]=>12
[6,7,3,2,8,1,4,5]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[7,3,4,2,6,1,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[7,4,1,2,8,5,3,6]=>[[1,4,5,8],[2,6],[3,7]]=>8
[8,7,4,2,1,5,3,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[7,4,1,2,6,5,3,8]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[7,4,3,1,5,6,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[6,7,4,1,5,8,3,2]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[4,7,5,1,6,8,3,2]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[4,5,3,1,7,6,8,2]=>[[1,2,5,7],[3,6],[4,8]]=>13
[4,6,1,2,7,5,3,8]=>[[1,2,5,8],[3,4,6],[7]]=>11
[2,7,1,3,6,5,4,8]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[4,1,8,2,6,5,3,7]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[4,6,1,2,8,5,3,7]=>[[1,2,5,8],[3,4,6],[7]]=>11
[8,4,3,1,5,6,7,2]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[4,5,3,1,8,6,7,2]=>[[1,2,5,7],[3,6],[4,8]]=>13
[4,8,5,6,3,1,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[5,1,3,4,8,6,7,2]=>[[1,3,4,5,7],[2,6],[8]]=>11
[5,4,3,8,1,6,7,2]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[8,5,3,4,1,6,7,2]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[6,4,8,2,1,5,3,7]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[6,7,3,2,5,1,4,8]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[6,8,3,2,5,1,4,7]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[5,7,1,4,6,8,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[5,1,3,4,7,6,8,2]=>[[1,3,4,5,7],[2,6],[8]]=>11
[6,1,4,2,7,5,3,8]=>[[1,3,5,8],[2,6],[4,7]]=>9
[5,4,3,7,1,6,8,2]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[6,7,5,4,1,8,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[7,6,4,2,1,5,3,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,2,7,6,5,4,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>20
[7,2,8,6,5,4,3,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>24
[8,1,9,7,6,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>32
[8,7,2,6,5,4,1,3]=>[[1,4],[2,8],[3],[5],[6],[7]]=>19
[3,2,8,7,6,5,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[4,8,7,6,5,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[7,8,6,1,5,4,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>25
[8,9,1,7,6,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>34
[7,3,8,6,5,4,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>24
[8,2,9,7,6,5,4,3,1]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>32
[9,1,10,8,7,6,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>41
[4,8,5,7,6,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[3,8,7,4,6,5,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>23
[2,8,7,6,3,5,4,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>22
[8,5,6,1,3,2,4,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[8,6,1,5,3,2,4,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[7,8,1,5,3,2,4,6]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[8,1,7,5,3,2,4,6]=>[[1,3,7,8],[2],[4],[5],[6]]=>13
[8,6,1,4,5,2,3,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[8,6,3,1,5,2,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[8,4,6,1,5,2,3,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[8,6,2,1,5,4,3,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[8,5,2,6,1,4,3,7]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[8,5,2,1,7,4,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[7,8,2,1,5,4,3,6]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[7,8,3,1,5,2,4,6]=>[[1,2,7,8],[3,5],[4,6]]=>10
[8,2,7,5,1,3,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[8,4,1,7,5,2,3,6]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[8,2,7,1,5,4,3,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[8,2,6,1,7,4,3,5]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[8,1,7,4,3,2,6,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[8,1,5,7,3,2,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[5,7,8,1,3,2,6,4]=>[[1,2,3],[4,5,7],[6,8]]=>20
[8,2,6,1,5,7,3,4]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[5,8,1,6,7,2,3,4]=>[[1,2,5,8],[3,4,7],[6]]=>10
[5,7,6,1,8,2,3,4]=>[[1,2,5,8],[3,6,7],[4]]=>11
[6,7,2,5,1,8,3,4]=>[[1,2,6],[3,4,8],[5,7]]=>14
[7,5,1,6,8,2,3,4]=>[[1,4,5,8],[2,6,7],[3]]=>7
[6,5,7,1,8,2,3,4]=>[[1,3,5,8],[2,6,7],[4]]=>8
[6,7,3,8,1,2,4,5]=>[[1,2,4,8],[3,6,7],[5]]=>12
[7,5,4,1,8,2,3,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[7,6,1,4,8,2,3,5]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[8,1,6,4,7,2,3,5]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[7,5,8,1,3,2,4,6]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[7,8,4,1,3,2,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[8,3,7,4,1,2,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[8,5,1,7,3,2,4,6]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[6,8,1,7,3,2,4,5]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[7,1,8,4,3,6,2,5]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[7,3,1,8,6,4,2,5]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[8,3,1,7,4,6,2,5]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[8,4,5,1,7,2,3,6]=>[[1,3,5,8],[2,6,7],[4]]=>8
[5,6,8,1,7,2,3,4]=>[[1,2,3,8],[4,5,7],[6]]=>14
[6,5,8,1,2,7,3,4]=>[[1,3,6,8],[2,5],[4,7]]=>8
[7,3,1,8,5,6,2,4]=>[[1,4,6],[2,5,8],[3,7]]=>8
[6,2,7,8,3,1,5,4]=>[[1,3,4],[2,5,7],[6,8]]=>16
[5,8,1,7,3,2,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[8,4,1,7,3,2,6,5]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[8,3,4,7,1,2,6,5]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[8,2,7,4,1,3,6,5]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[7,4,8,2,1,3,6,5]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[7,4,3,8,1,2,6,5]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[8,2,3,6,7,1,5,4]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[7,8,5,2,3,6,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[6,8,5,2,3,4,7,1]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[3,5,2,6,8,1,4,7]=>[[1,2,4,5],[3,7,8],[6]]=>15
[3,5,2,4,6,8,1,7]=>[[1,2,5,6],[3,4,8],[7]]=>12
[2,4,5,7,3,6,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>15
[2,4,5,3,6,8,1,7]=>[[1,2,3,5,6],[4,8],[7]]=>14
[5,2,4,6,8,1,3,7]=>[[1,3,4,5],[2,7,8],[6]]=>12
[5,1,3,4,6,8,2,7]=>[[1,3,4,5,6],[2,8],[7]]=>11
[4,3,5,2,6,8,1,7]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[4,3,5,7,2,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[4,3,5,7,2,6,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[4,6,3,7,2,5,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[4,6,3,1,7,8,2,5]=>[[1,2,5,6],[3,7,8],[4]]=>13
[4,3,5,1,7,8,2,6]=>[[1,3,5,6],[2,7,8],[4]]=>10
[5,7,1,3,4,8,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>12
[5,7,1,3,4,6,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>11
[4,5,7,1,3,6,8,2]=>[[1,2,3,7],[4,5,6],[8]]=>16
[4,3,6,7,1,5,8,2]=>[[1,3,4,7],[2,6],[5,8]]=>11
[4,6,3,5,1,7,8,2]=>[[1,2,6,7],[3,4],[5,8]]=>14
[4,6,3,5,7,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[3,5,6,4,1,7,8,2]=>[[1,2,3,6,7],[4,8],[5]]=>12
[3,1,5,6,7,4,8,2]=>[[1,3,4,5,7],[2,6],[8]]=>11
[5,1,6,7,3,4,8,2]=>[[1,3,4,7],[2,5,6],[8]]=>12
[6,4,7,1,3,5,8,2]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[1,6,7,3,4,5,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>13
[2,6,7,4,5,8,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>18
[2,6,7,4,8,1,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>16
[5,3,6,1,2,7,8,4]=>[[1,3,6,7],[2,5,8],[4]]=>7
[3,5,2,6,1,7,8,4]=>[[1,2,4,6,7],[3,8],[5]]=>11
[3,5,2,6,7,4,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>13
[5,2,3,6,7,4,8,1]=>[[1,3,4,5,7],[2,6],[8]]=>11
[5,2,3,6,1,7,8,4]=>[[1,3,4,6,7],[2,8],[5]]=>9
[5,2,6,1,3,7,8,4]=>[[1,3,6,7],[2,5,8],[4]]=>7
[4,2,6,7,3,5,8,1]=>[[1,3,4,7],[2,5,6],[8]]=>12
[6,3,7,2,4,5,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[3,5,7,2,8,1,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>16
[3,7,2,4,8,1,5,6]=>[[1,2,5,8],[3,4,7],[6]]=>10
[7,2,4,6,8,1,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>12
[7,1,3,4,6,8,2,5]=>[[1,3,4,5,6],[2,8],[7]]=>11
[3,7,2,4,6,8,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>16
[3,5,7,2,6,8,1,4]=>[[1,2,3,6],[4,5],[7,8]]=>18
[6,3,7,2,5,8,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[6,3,5,7,2,8,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[6,3,5,7,2,4,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[6,2,4,5,7,3,8,1]=>[[1,3,4,5,7],[2],[6],[8]]=>13
[6,2,4,5,1,7,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>9
[4,7,1,2,5,6,8,3]=>[[1,2,5,6,7],[3,4],[8]]=>11
[2,6,7,5,8,1,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>16
[4,6,7,1,2,5,8,3]=>[[1,2,3,7],[4,5,6],[8]]=>16
[5,6,2,4,7,3,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[5,4,2,6,7,3,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[5,4,2,6,1,7,8,3]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[1,5,4,6,2,7,8,3]=>[[1,2,4,6,7],[3,8],[5]]=>11
[5,6,4,1,2,7,8,3]=>[[1,2,6,7],[3,5,8],[4]]=>9
[6,4,5,1,2,7,8,3]=>[[1,3,6,7],[2,5,8],[4]]=>7
[6,3,5,1,7,8,2,4]=>[[1,3,5,6],[2,7,8],[4]]=>10
[6,5,7,2,8,1,3,4]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[6,5,7,1,3,4,8,2]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[5,6,4,7,1,3,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[5,4,6,3,1,7,8,2]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[7,5,3,2,4,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[8,4,5,2,6,1,3,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[8,5,4,2,1,6,3,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,5,3,4,1,6,2,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[8,4,5,3,1,6,2,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[7,5,4,2,1,8,3,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[7,5,4,2,1,6,8,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[7,4,5,3,1,6,8,2]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[7,4,3,5,6,1,8,2]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[5,6,3,7,4,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>16
[5,6,7,3,1,4,8,2]=>[[1,2,3,7],[4,6],[5,8]]=>15
[6,7,3,4,1,5,8,2]=>[[1,2,6,7],[3,4],[5,8]]=>14
[6,7,4,2,1,5,8,3]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[5,6,7,3,1,8,2,4]=>[[1,2,3,6],[4,7,8],[5]]=>15
[5,6,3,7,8,1,2,4]=>[[1,2,4,5],[3,7,8],[6]]=>15
[5,6,3,7,2,4,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[5,6,7,2,3,8,1,4]=>[[1,2,3,6],[4,5,8],[7]]=>16
[7,4,5,2,8,1,3,6]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[6,7,3,2,4,8,1,5]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[7,6,4,2,1,3,8,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[7,6,3,4,1,2,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[7,6,3,2,4,1,8,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[6,7,3,2,5,1,8,4]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[6,5,3,2,7,8,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[6,5,3,2,7,4,8,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[6,4,5,2,7,3,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[6,4,5,2,7,8,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[7,4,5,2,6,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[7,4,5,6,1,2,8,3]=>[[1,3,4,7],[2,6,8],[5]]=>10
[7,5,6,2,1,3,8,4]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[6,7,3,5,1,2,8,4]=>[[1,2,7],[3,4,8],[5,6]]=>13
[5,6,7,4,1,2,8,3]=>[[1,2,3,7],[4,6,8],[5]]=>14
[5,6,7,2,4,1,8,3]=>[[1,2,3,7],[4,5],[6,8]]=>17
[5,6,4,2,7,8,1,3]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[6,5,7,2,1,8,3,4]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[6,5,7,2,1,4,8,3]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[5,4,6,7,3,1,8,2]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[3,7,8,5,6,1,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[1,7,8,5,6,3,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[1,7,5,8,6,3,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[3,7,5,8,6,1,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[5,7,3,8,6,4,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[1,5,7,8,6,3,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[1,5,7,8,3,6,4,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[5,3,7,8,1,6,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[7,8,1,5,6,3,4,2]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[7,1,8,5,6,3,4,2]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[7,1,5,8,6,3,4,2]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[5,1,7,8,3,6,4,2]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[3,1,7,8,5,6,4,2]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[1,3,7,8,5,6,4,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[3,1,7,5,8,6,4,2]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[5,1,7,3,8,6,4,2]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[7,1,5,3,8,6,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[7,1,5,8,3,6,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[7,3,5,8,1,6,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[5,3,7,1,8,6,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[3,5,7,1,8,6,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[1,7,5,3,8,6,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[5,7,3,1,8,6,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[5,7,3,8,6,1,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[3,7,5,8,1,6,4,2]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[1,7,5,8,3,6,4,2]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[1,7,8,5,3,6,4,2]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[5,7,8,6,3,1,4,2]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[7,5,8,6,1,3,4,2]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[5,7,8,1,6,3,4,2]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[3,7,8,1,5,6,4,2]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[1,7,8,3,5,6,4,2]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[1,7,3,8,5,6,4,2]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[3,7,1,8,5,6,4,2]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[5,7,1,8,3,6,4,2]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[5,7,1,8,6,3,4,2]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[7,5,1,8,6,3,4,2]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[7,5,8,1,6,3,4,2]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[7,8,5,1,6,3,4,2]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[7,5,8,1,3,6,4,2]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[7,5,1,8,3,6,4,2]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[7,5,1,3,8,6,4,2]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[5,7,1,3,8,6,4,2]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[3,7,1,5,8,6,4,2]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[1,7,3,5,8,6,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[1,5,3,7,8,6,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[3,5,1,7,8,6,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[5,3,1,7,8,6,4,2]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[7,3,1,5,8,6,4,2]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[7,3,1,8,5,6,4,2]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[7,8,3,1,5,6,4,2]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[7,1,8,3,5,6,4,2]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[7,1,3,8,5,6,4,2]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[7,1,3,5,8,6,4,2]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[3,1,5,7,8,6,4,2]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[5,7,3,4,8,6,1,2]=>[[1,2,5],[3,4,6],[7,8]]=>17
[5,7,3,4,8,1,6,2]=>[[1,2,5],[3,4,7],[6,8]]=>16
[5,7,3,4,1,8,6,2]=>[[1,2,6],[3,4,7],[5,8]]=>15
[5,7,3,1,4,6,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>11
[5,7,3,1,4,8,6,2]=>[[1,2,6],[3,5,7],[4,8]]=>13
[5,3,7,4,1,2,6,8]=>[[1,3,7,8],[2,4],[5,6]]=>10
[5,3,7,1,4,2,6,8]=>[[1,3,7,8],[2,5],[4,6]]=>7
[5,3,7,1,4,2,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>8
[3,7,5,1,2,8,6,4]=>[[1,2,6],[3,5,7],[4,8]]=>13
[7,8,3,5,1,2,6,4]=>[[1,2,7],[3,4,8],[5,6]]=>13
[7,3,5,8,1,2,6,4]=>[[1,3,4],[2,6,7],[5,8]]=>13
[3,7,5,1,2,6,8,4]=>[[1,2,6,7],[3,5,8],[4]]=>9
[6,1,4,3,5,2,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[2,5,7,3,8,4,1,6]=>[[1,2,3,5],[4,6,8],[7]]=>17
[5,4,7,8,6,1,3,2]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[7,5,6,2,8,3,1,4]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[4,7,2,5,8,3,1,6]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[6,2,4,5,1,3,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>10
[5,1,4,6,3,2,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[3,5,6,2,4,1,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>15
[3,8,6,7,5,4,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[6,2,7,8,3,4,1,5]=>[[1,3,4,8],[2,5,6],[7]]=>11
[2,5,3,4,8,1,7,6]=>[[1,2,4,5],[3,7],[6,8]]=>16
[8,7,1,2,5,3,4,6]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[5,1,8,2,3,4,7,6]=>[[1,3,5,6,7],[2,4],[8]]=>9
[5,4,7,6,2,8,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[3,7,8,1,5,4,6,2]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[7,1,3,4,6,8,5,2]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[8,3,6,5,7,1,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[5,8,7,1,4,6,2,3]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[4,7,6,1,8,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[4,7,2,6,3,8,5,1]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[2,1,8,4,6,7,3,5]=>[[1,3,5,6],[2,4,8],[7]]=>10
[4,7,8,6,3,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[3,8,1,5,6,7,2,4]=>[[1,2,5,6],[3,4,8],[7]]=>12
[6,7,2,4,8,5,3,1]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[2,8,3,6,7,5,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[8,2,1,7,6,3,5,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[3,2,4,5,8,1,7,6]=>[[1,3,4,5],[2,7],[6,8]]=>13
[7,4,6,3,2,1,8,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[4,7,3,2,1,8,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[6,4,7,5,2,3,8,1]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[6,4,8,1,7,3,2,5]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[4,8,7,2,3,1,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[4,2,3,1,8,7,5,6]=>[[1,3,5,8],[2,6],[4,7]]=>9
[7,6,8,1,3,5,2,4]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[6,7,5,2,3,1,8,4]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[4,7,2,6,5,1,8,3]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[6,4,2,1,8,5,7,3]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[7,2,1,5,6,8,4,3]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[8,7,2,6,4,1,5,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[6,7,8,2,5,3,1,4]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[2,1,7,3,6,8,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[2,1,5,7,8,4,6,3]=>[[1,3,4,5],[2,6,7],[8]]=>14
[2,5,7,8,3,6,1,4]=>[[1,2,3,4],[5,6],[7,8]]=>20
[6,4,1,5,7,2,8,3]=>[[1,4,5,7],[2,6,8],[3]]=>8
[7,4,8,1,2,5,6,3]=>[[1,3,6,7],[2,5],[4,8]]=>9
[4,2,7,8,6,3,5,1]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[6,1,7,4,3,2,8,5]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[6,8,3,4,2,1,7,5]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[4,2,6,1,5,7,8,3]=>[[1,3,6,7],[2,5],[4,8]]=>9
[2,4,6,7,3,5,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>15
[6,5,8,3,7,4,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>19
[7,1,4,8,3,5,6,2]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[6,8,7,5,3,4,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[4,8,6,3,1,5,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[3,4,8,2,5,7,6,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[2,5,7,4,8,6,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>19
[2,6,3,7,5,1,8,4]=>[[1,2,4,7],[3,5],[6,8]]=>16
[2,6,4,8,7,5,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[6,3,7,2,8,5,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[3,6,2,5,8,7,1,4]=>[[1,2,5],[3,4,6],[7,8]]=>17
[5,2,8,4,7,6,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[7,2,4,8,6,5,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[6,2,4,8,7,5,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[2,4,5,8,7,6,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[4,2,7,3,8,1,6,5]=>[[1,3,5],[2,4,7],[6,8]]=>14
[2,5,1,4,7,3,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>11
[6,1,3,8,7,2,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[3,1,5,6,2,8,7,4]=>[[1,3,4,6],[2,5,7],[8]]=>13
[4,1,5,2,8,7,6,3]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[4,1,5,3,2,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>13
[7,2,3,5,1,8,6,4]=>[[1,3,4,6],[2,7],[5,8]]=>12
[3,4,5,1,8,7,6,2]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[1,4,5,2,8,7,6,3]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[1,6,4,2,8,7,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[7,4,2,5,1,8,6,3]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[4,6,2,7,5,1,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>16
[1,5,3,6,2,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>15
[1,5,8,3,2,7,6,4]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[4,5,8,2,1,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[3,6,2,5,1,4,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>13
[2,4,8,7,1,3,6,5]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[1,3,8,2,4,7,6,5]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[6,3,1,7,2,8,5,4]=>[[1,4,6],[2,5,7],[3,8]]=>9
[7,5,1,2,8,6,4,3]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[1,5,2,3,8,7,6,4]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[4,5,1,2,8,7,6,3]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[6,4,1,2,8,7,5,3]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[5,2,8,1,3,7,6,4]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[4,7,5,6,8,3,1,2]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[8,6,4,7,5,3,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[7,5,2,6,4,1,3,8]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[1,6,3,7,5,8,4,2]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[1,3,7,4,5,8,6,2]=>[[1,2,3,5,6],[4,7],[8]]=>15
[7,2,6,3,4,1,5,8]=>[[1,3,5,7,8],[2],[4],[6]]=>9
[8,3,7,4,6,5,1,2]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[6,8,4,7,5,3,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[4,8,7,5,6,3,1,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[3,8,7,6,4,5,1,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[1,6,5,2,8,3,7,4]=>[[1,2,5,7],[3,6],[4,8]]=>13
[8,6,5,2,1,4,3,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[2,7,6,3,1,4,5,8]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[6,8,5,3,2,1,4,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[2,7,6,4,5,1,3,8]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[5,7,2,6,4,1,3,8]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[6,1,3,7,5,8,4,2]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[4,1,7,3,6,8,5,2]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[8,1,6,4,3,7,5,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[2,1,7,4,8,6,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>15
[1,8,6,3,7,5,4,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[1,8,2,7,3,6,5,4]=>[[1,2,4,6],[3],[5],[7],[8]]=>19
[2,1,3,8,4,7,5,6]=>[[1,3,4,6,8],[2,5],[7]]=>9
[8,1,2,7,4,3,6,5]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[5,3,1,6,8,4,7,2]=>[[1,4,5],[2,6,7],[3,8]]=>11
[6,2,8,7,1,4,3,5]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[8,7,2,1,5,4,3,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[8,2,3,1,4,6,5,7]=>[[1,3,5,6,8],[2,7],[4]]=>7
[2,4,8,3,1,5,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>10
[3,4,2,7,1,5,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[4,7,3,8,2,1,5,6]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[5,2,7,3,1,4,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[8,3,7,2,1,5,4,6]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[1,3,7,2,8,4,6,5]=>[[1,2,3,5],[4,6,7],[8]]=>18
[1,4,2,5,8,6,7,3]=>[[1,2,4,5,7],[3,6],[8]]=>13
[6,5,3,8,2,1,4,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[2,6,4,5,7,1,3,8]=>[[1,2,4,5,8],[3,7],[6]]=>11
[5,4,6,2,7,1,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[7,6,3,1,8,4,5,2]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[7,6,2,1,8,5,3,4]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[1,7,5,8,6,4,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[6,5,1,2,8,3,7,4]=>[[1,4,5,7],[2,6],[3,8]]=>9
[8,6,1,4,3,7,5,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[6,8,4,1,3,7,5,2]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[6,5,7,1,3,8,4,2]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[5,8,3,1,7,4,6,2]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[8,3,1,7,5,4,6,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[1,3,8,7,4,6,5,2]=>[[1,2,3,6],[4],[5],[7],[8]]=>20
[1,2,8,7,6,3,5,4]=>[[1,2,3,7],[4],[5],[6],[8]]=>19
[8,2,1,7,6,4,3,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[2,3,1,8,7,4,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>10
[2,4,1,8,5,7,3,6]=>[[1,2,4,6],[3,5,8],[7]]=>15
[5,8,2,1,7,6,3,4]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[6,2,7,1,8,5,3,4]=>[[1,3,5],[2,6,8],[4,7]]=>11
[8,7,1,6,5,4,3,2]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>25
[7,1,8,3,6,5,4,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[4,1,8,7,5,6,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[8,1,2,3,4,5,9,6,7]=>[[1,3,4,5,6,7,9],[2,8]]=>6
[8,1,2,3,4,9,5,6,7]=>[[1,3,4,5,6,8,9],[2,7]]=>5
[8,1,2,9,3,4,5,6,7]=>[[1,3,4,6,7,8,9],[2,5]]=>3
[8,1,9,2,3,4,5,6,7]=>[[1,3,5,6,7,8,9],[2,4]]=>2
[2,1,8,9,3,4,5,6,7]=>[[1,3,4,7,8,9],[2,5,6]]=>5
[3,5,8,7,2,6,4,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[5,8,2,7,1,6,4,3]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[2,1,6,4,5,8,3,7]=>[[1,3,5,6],[2,4,8],[7]]=>10
[8,6,3,7,5,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[4,6,3,8,5,2,1,7]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[4,6,3,7,5,2,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[3,5,7,8,2,6,1,4]=>[[1,2,3,4],[5,6],[7,8]]=>20
[7,2,3,4,6,8,5,1]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[4,8,3,7,5,1,6,2]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[5,2,3,4,8,7,1,6]=>[[1,3,4,5],[2,6],[7,8]]=>16
[5,2,3,4,6,8,1,7]=>[[1,3,4,5,6],[2,8],[7]]=>11
[4,2,8,5,7,6,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[3,7,6,4,5,1,8,2]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[4,8,3,7,5,2,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[8,7,3,6,5,1,2,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[4,2,7,5,8,6,3,1]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[5,8,1,7,3,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[5,2,7,8,4,6,3,1]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[5,2,8,3,7,6,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[8,2,7,3,1,6,4,5]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[6,2,3,4,8,5,1,7]=>[[1,3,4,5,8],[2,6],[7]]=>10
[6,2,3,4,1,8,5,7]=>[[1,3,4,6,8],[2,7],[5]]=>8
[7,2,3,4,1,8,6,5]=>[[1,3,4,6],[2,7],[5,8]]=>12
[7,2,3,4,1,5,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>9
[1,2,3,4,8,7,5,6]=>[[1,2,3,4,5,8],[6],[7]]=>11
[1,2,8,5,3,4,6,7]=>[[1,2,3,6,7,8],[4],[5]]=>7
[1,8,4,2,3,5,6,7]=>[[1,2,5,6,7,8],[3],[4]]=>5
[8,6,7,4,1,5,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>18
[4,8,6,7,5,1,3,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[7,1,8,4,6,5,2,3]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[8,7,1,5,4,6,2,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[8,5,7,1,4,6,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[6,4,8,5,1,7,3,2]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[4,8,5,7,1,6,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[8,4,7,1,5,6,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[8,7,1,4,5,6,3,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[8,7,4,5,6,1,3,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[8,7,5,1,4,6,2,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[8,7,2,5,1,4,6,3]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[4,8,7,2,5,1,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[1,6,4,8,5,2,7,3]=>[[1,2,4,7],[3,5],[6,8]]=>16
[8,7,1,4,2,5,6,3]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[8,7,5,1,2,4,6,3]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[7,1,8,5,6,2,3,4]=>[[1,3,5,8],[2,4],[6,7]]=>12
[3,8,7,1,2,5,6,4]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[3,5,8,7,1,2,6,4]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[2,3,8,5,7,1,6,4]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[3,8,7,1,5,6,2,4]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[3,5,8,7,1,6,2,4]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[2,3,8,6,7,5,1,4]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[3,2,8,6,7,5,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[4,1,8,6,2,7,5,3]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[8,7,4,1,2,6,5,3]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[1,3,8,6,7,5,2,4]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[5,7,1,8,2,6,3,4]=>[[1,2,4,8],[3,5,6],[7]]=>14
[2,8,7,1,5,6,3,4]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[8,7,1,5,2,4,6,3]=>[[1,4,6,7],[2],[3],[5],[8]]=>14
[7,1,8,2,4,6,5,3]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[1,6,2,8,4,7,5,3]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[1,3,8,5,7,2,6,4]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[1,8,3,7,2,5,6,4]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[2,8,7,1,3,5,6,4]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[5,7,1,8,2,3,6,4]=>[[1,2,4,7],[3,5,6],[8]]=>15
[7,1,8,2,3,5,6,4]=>[[1,3,5,6,7],[2,4],[8]]=>9
[8,6,3,7,4,1,5,2]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[4,2,8,6,7,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[8,4,2,7,5,6,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[4,8,3,6,1,7,5,2]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[8,3,4,7,5,1,6,2]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[8,3,7,4,5,1,6,2]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,7,4,2,5,6,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[8,7,5,1,6,2,3,4]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[8,7,2,4,1,5,6,3]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[4,8,6,1,7,2,5,3]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[4,7,1,8,2,6,5,3]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[4,2,8,6,7,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[8,7,4,1,2,5,6,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[8,2,7,1,6,3,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[8,2,7,1,3,6,4,5]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[2,8,3,6,7,1,5,4]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[8,7,2,1,3,5,6,4]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[1,8,7,2,3,6,4,5]=>[[1,2,5,6,8],[3],[4],[7]]=>11
[1,8,7,2,6,3,4,5]=>[[1,2,5,7,8],[3],[4],[6]]=>10
[8,2,7,3,6,1,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[1,8,7,3,6,2,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[1,8,2,7,6,3,4,5]=>[[1,2,4,7,8],[3],[5],[6]]=>11
[8,2,7,4,1,5,6,3]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[8,2,1,7,5,6,3,4]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[8,7,3,1,5,6,2,4]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[2,8,7,3,5,6,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[8,3,1,6,7,5,2,4]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[8,5,2,1,6,7,4,3]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[1,5,2,8,6,7,4,3]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[1,2,8,6,7,5,3,4]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[1,8,3,6,7,5,2,4]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[8,2,3,6,7,5,1,4]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[8,3,7,2,5,6,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[8,1,3,7,5,6,2,4]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[8,4,1,2,7,5,6,3]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[8,1,4,2,6,7,5,3]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[1,2,8,6,7,3,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[8,1,2,7,3,6,4,5]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[8,1,7,3,6,2,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[8,1,7,2,6,3,4,5]=>[[1,3,5,7,8],[2],[4],[6]]=>9
[8,1,7,2,3,6,4,5]=>[[1,3,5,6,8],[2],[4],[7]]=>10
[8,1,3,7,2,5,6,4]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[1,8,3,6,7,2,5,4]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[1,7,8,2,3,6,5,4]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[8,3,7,1,2,5,6,4]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[8,7,1,2,3,6,4,5]=>[[1,4,5,6,8],[2],[3],[7]]=>9
[2,8,5,7,4,6,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[3,1,8,5,7,4,2,6]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[8,3,5,7,4,2,6,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[8,3,6,2,4,5,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[2,8,6,4,3,5,7,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>16
[2,6,8,3,5,4,7,1]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[2,7,5,8,4,6,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[8,4,2,7,6,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[4,8,1,7,6,3,2,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[4,1,7,6,2,3,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[3,7,1,8,6,2,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[3,1,7,6,4,5,2,8]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[3,1,7,5,8,4,2,6]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[3,1,6,8,7,5,2,4]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[6,3,8,7,5,2,4,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[7,3,5,8,4,2,6,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[7,3,6,4,2,8,5,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[7,8,3,6,2,5,4,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[7,4,8,2,1,6,3,5]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[8,7,4,6,3,2,5,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>20
[7,8,5,2,1,4,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[7,5,2,3,1,4,8,6]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[7,4,6,2,3,8,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[6,4,2,5,8,3,7,1]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[4,6,5,8,1,3,2,7]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[4,7,1,5,3,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[4,7,8,1,3,6,2,5]=>[[1,2,3],[4,5,6],[7,8]]=>21
[5,7,1,3,4,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>10
[5,7,1,4,2,3,6,8]=>[[1,2,6,7,8],[3,4],[5]]=>8
[5,8,1,3,2,4,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>8
[4,8,6,1,3,2,7,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[8,4,6,2,1,3,7,5]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[5,4,8,7,2,3,6,1]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[5,4,8,7,3,1,2,6]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[6,8,3,7,2,5,4,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[5,4,6,8,2,3,7,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[5,7,4,2,8,3,6,1]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[6,4,7,2,1,8,3,5]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[6,5,3,4,1,2,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[6,8,5,4,1,3,2,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[6,4,3,7,1,5,2,8]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[7,4,2,6,1,5,3,8]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[7,4,2,5,6,1,3,8]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[6,4,2,8,1,5,7,3]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[6,3,7,8,2,5,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[7,3,5,6,4,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[7,4,3,1,5,6,2,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[7,4,5,2,6,1,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[5,3,7,2,8,6,4,1]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[5,3,8,2,6,7,4,1]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[6,3,8,2,5,4,7,1]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[6,4,8,2,1,5,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[6,4,3,1,8,2,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[5,3,7,8,2,6,4,1]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[4,7,8,5,6,3,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[5,3,7,6,8,2,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[5,7,8,4,6,2,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[5,8,4,3,6,7,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[5,8,6,4,7,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[5,3,8,6,2,7,4,1]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[4,7,5,8,6,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[4,8,6,7,5,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[6,3,8,7,2,4,1,5]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[5,3,8,7,2,6,4,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[5,3,8,6,7,2,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[5,3,7,8,6,2,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[5,7,6,4,8,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[5,8,4,6,7,2,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[6,4,2,8,1,7,3,5]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[6,5,2,4,3,7,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>14
[5,4,6,2,8,7,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[5,6,3,8,7,2,4,1]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[6,7,4,3,1,8,2,5]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[5,7,4,3,6,8,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[5,7,3,8,6,2,4,1]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[4,5,8,6,7,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>21
[4,6,8,5,7,3,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[5,6,8,3,7,2,4,1]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[5,4,6,8,2,7,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[5,7,8,2,6,4,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[3,6,8,5,7,1,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[1,7,4,8,6,2,3,5]=>[[1,2,4,8],[3,5],[6,7]]=>15
[3,6,2,5,7,8,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>16
[5,2,7,4,6,8,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>14
[5,3,6,7,1,8,4,2]=>[[1,3,4,6],[2,7],[5,8]]=>12
[4,2,5,6,7,1,8,3]=>[[1,3,4,5,7],[2,8],[6]]=>10
[8,1,3,6,7,2,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>12
[8,1,4,2,7,5,3,6]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[6,1,3,8,2,7,4,5]=>[[1,3,4,8],[2,6],[5,7]]=>10
[1,7,5,2,8,6,3,4]=>[[1,2,5,8],[3,6],[4,7]]=>12
[3,6,4,8,1,5,7,2]=>[[1,2,4,7],[3,6],[5,8]]=>14
[1,5,8,4,2,6,3,7]=>[[1,2,3,8],[4,6],[5,7]]=>14
[3,5,7,4,1,6,8,2]=>[[1,2,3,7],[4,6],[5,8]]=>15
[3,5,7,1,2,6,4,8]=>[[1,2,3,8],[4,5,6],[7]]=>15
[4,5,1,8,2,3,7,6]=>[[1,2,4,7],[3,5,6],[8]]=>15
[4,7,1,8,2,6,3,5]=>[[1,2,4,8],[3,5,6],[7]]=>14
[7,5,1,2,3,8,6,4]=>[[1,4,5,6],[2,7],[3,8]]=>10
[5,2,6,1,3,4,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>7
[7,8,4,5,1,3,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[6,7,1,3,2,5,4,8]=>[[1,2,6,8],[3,4],[5,7]]=>13
[6,7,1,4,3,5,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[7,8,2,3,1,5,4,6]=>[[1,2,6,8],[3,4],[5,7]]=>13
[7,8,2,4,3,5,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[7,8,2,4,1,5,3,6]=>[[1,2,6,8],[3,4],[5,7]]=>13
[1,4,2,6,5,7,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[5,6,1,4,2,7,3,8]=>[[1,2,6,8],[3,4,7],[5]]=>9
[6,7,2,4,1,5,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>13
[6,7,2,4,3,5,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[6,7,2,3,1,5,4,8]=>[[1,2,6,8],[3,4],[5,7]]=>13
[6,7,3,5,4,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[2,4,1,6,5,7,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,5,2,6,4,7,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[2,5,1,6,4,7,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[3,6,5,7,4,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[5,6,2,4,3,7,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[4,5,2,6,1,7,3,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[4,5,1,6,3,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[4,5,3,6,1,7,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[5,6,3,4,1,7,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>13
[5,6,1,4,3,7,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[5,6,1,3,2,7,4,8]=>[[1,2,6,8],[3,4,7],[5]]=>9
[5,6,4,7,1,3,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[6,7,4,5,1,3,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[6,7,5,8,1,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[4,5,1,3,2,7,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>9
[4,6,5,7,1,3,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[4,6,1,3,2,7,5,8]=>[[1,2,6,8],[3,4,7],[5]]=>9
[1,4,3,6,2,7,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[3,4,1,6,5,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[4,5,2,3,1,7,6,8]=>[[1,2,6,8],[3,4,7],[5]]=>9
[4,5,3,7,6,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>17
[4,6,5,7,3,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[4,6,5,7,2,3,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[3,5,4,6,1,7,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[3,5,1,6,4,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,5,3,6,4,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,5,3,6,2,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[3,5,2,6,1,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[3,5,2,6,4,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[3,4,2,6,1,7,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[4,6,2,3,1,7,5,8]=>[[1,2,6,8],[3,4,7],[5]]=>9
[2,4,3,6,1,7,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[2,5,3,6,4,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[2,5,3,6,1,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[3,6,2,7,5,4,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[4,6,1,7,3,8,2,5]=>[[1,2,4,6],[3,5,8],[7]]=>15
[5,2,6,7,4,3,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[3,5,2,7,6,4,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[1,5,7,2,8,3,6,4]=>[[1,2,3,5],[4,6,7],[8]]=>18
[2,5,7,3,1,8,4,6]=>[[1,2,3,6],[4,7,8],[5]]=>15
[2,1,5,6,8,4,3,7]=>[[1,3,4,5],[2,6,8],[7]]=>13
[1,3,7,2,8,5,4,6]=>[[1,2,3,5],[4,6,8],[7]]=>17
[4,6,2,7,1,8,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>14
[1,5,4,3,6,8,2,7]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[1,6,4,5,7,8,3,2]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[2,1,5,6,8,4,7,3]=>[[1,3,4,5],[2,6,7],[8]]=>14
[2,1,5,6,8,7,3,4]=>[[1,3,4,5],[2,6,8],[7]]=>13
[3,6,5,2,7,8,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[6,2,4,7,5,8,3,1]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[1,5,7,8,4,2,6,3]=>[[1,2,3,4],[5,7],[6,8]]=>18
[3,7,4,1,8,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>15
[3,4,6,8,5,7,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[4,2,5,7,3,1,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>11
[4,5,6,2,8,7,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[2,5,6,8,1,7,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[4,5,6,1,8,7,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[4,5,6,3,1,8,7,2]=>[[1,2,3,6],[4,7],[5,8]]=>16
[4,3,6,2,1,7,5,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[4,6,3,2,1,7,5,8]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[4,6,3,1,7,5,2,8]=>[[1,2,5,8],[3,6],[4,7]]=>12
[4,5,3,7,6,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>16
[4,5,1,7,3,8,6,2]=>[[1,2,4,6],[3,5,7],[8]]=>16
[2,5,7,1,4,3,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>15
[4,3,5,7,6,1,8,2]=>[[1,3,4,7],[2,5],[6,8]]=>14
[4,3,6,1,7,5,2,8]=>[[1,3,5,8],[2,6],[4,7]]=>9
[4,3,2,6,1,7,5,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[5,3,2,1,6,4,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[5,3,1,6,2,7,4,8]=>[[1,4,6,8],[2,5,7],[3]]=>5
[5,1,6,3,2,7,4,8]=>[[1,3,6,8],[2,4,7],[5]]=>7
[2,6,1,4,7,5,3,8]=>[[1,2,5,8],[3,4,6],[7]]=>11
[3,6,1,7,4,2,5,8]=>[[1,2,4,8],[3,5,7],[6]]=>13
[4,6,1,7,5,3,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[5,1,6,3,7,4,2,8]=>[[1,3,5,8],[2,4,6],[7]]=>9
[5,3,6,4,2,1,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[5,3,2,6,4,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[5,2,1,6,3,7,4,8]=>[[1,4,6,8],[2,5,7],[3]]=>5
[5,2,6,3,1,7,4,8]=>[[1,3,6,8],[2,4,7],[5]]=>7
[4,2,6,3,1,7,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>8
[3,6,2,1,7,4,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>11
[3,6,2,7,4,1,5,8]=>[[1,2,4,8],[3,5,7],[6]]=>13
[3,5,7,2,8,6,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[2,4,7,1,3,6,5,8]=>[[1,2,3,8],[4,5,6],[7]]=>15
[2,6,1,3,7,5,4,8]=>[[1,2,5,8],[3,4,6],[7]]=>11
[3,6,1,7,5,2,4,8]=>[[1,2,4,8],[3,5,7],[6]]=>13
[5,1,6,2,7,4,3,8]=>[[1,3,5,8],[2,4,6],[7]]=>9
[5,2,6,4,3,1,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[5,2,1,6,4,3,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>6
[5,4,2,1,6,3,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[5,4,2,6,3,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[5,4,1,6,2,7,3,8]=>[[1,4,6,8],[2,5,7],[3]]=>5
[5,1,6,4,2,7,3,8]=>[[1,3,6,8],[2,4,7],[5]]=>7
[3,6,1,7,5,4,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[2,6,1,5,4,3,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[3,1,6,2,5,4,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>7
[5,1,6,4,3,2,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[5,4,1,6,3,2,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[5,4,3,1,6,2,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[7,3,1,6,5,4,8,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[7,2,8,1,5,4,3,6]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[4,2,7,6,5,8,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[3,8,2,6,5,4,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[7,3,2,1,5,4,6,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[7,2,8,6,1,4,3,5]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[5,2,7,6,8,4,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[3,8,7,2,5,4,1,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[8,3,2,1,6,5,4,7,9]=>[[1,5,8,9],[2,6],[3,7],[4]]=>9
[7,5,1,6,8,4,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[7,4,2,1,5,6,3,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[7,2,8,6,5,1,3,4]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[5,3,2,6,7,4,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[4,3,7,2,5,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[6,7,1,4,3,2,5,8]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[3,4,2,6,7,1,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>11
[3,7,1,6,5,2,4,8]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[3,5,6,2,4,7,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>12
[3,5,8,7,2,4,6,1]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[1,7,8,2,5,4,3,6]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[8,7,2,5,4,3,6,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>19
[2,5,6,4,7,1,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>12
[4,7,1,6,3,5,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[4,5,3,8,7,2,6,1]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[1,4,5,3,7,8,2,6]=>[[1,2,3,5,6],[4,8],[7]]=>14
[1,4,8,2,7,6,3,5]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[4,7,3,5,1,8,6,2]=>[[1,2,6],[3,4,7],[5,8]]=>15
[8,7,3,6,1,5,4,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>21
[2,5,8,7,4,6,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[5,4,2,1,7,8,3,6]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[4,7,8,3,5,2,1,6]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[4,7,6,2,1,8,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[1,4,6,7,3,5,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>15
[8,3,6,2,1,7,5,4]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[8,3,7,6,4,2,1,5]=>[[1,3,8],[2],[4],[5],[6],[7]]=>19
[2,3,1,8,4,7,6,5]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[2,7,4,8,6,5,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[8,6,5,1,4,7,3,2]=>[[1,5,6],[2],[3],[4],[7],[8]]=>19
[8,5,4,1,7,3,6,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[6,3,7,2,8,5,4,1]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[1,6,3,8,2,7,5,4]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[1,7,5,3,8,2,6,4]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[6,2,7,4,1,8,5,3]=>[[1,3,6],[2,4,7],[5,8]]=>13
[8,6,3,2,7,5,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[2,7,5,1,3,8,6,4]=>[[1,2,6],[3,5,7],[4,8]]=>13
[1,7,6,4,3,8,2,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[3,7,2,4,8,6,5,1]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[3,4,2,8,7,6,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[5,1,4,3,2,7,8,6]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[3,7,8,5,2,4,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[3,7,6,2,4,1,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[1,6,8,2,5,7,4,3]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[6,7,2,5,8,4,3,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[5,2,7,8,4,3,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[5,3,1,7,8,4,2,6]=>[[1,4,5],[2,6,8],[3,7]]=>10
[2,7,6,4,1,3,8,5]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[4,1,7,6,3,2,8,5]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[8,4,2,7,6,3,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[6,3,1,7,5,2,8,4]=>[[1,4,7],[2,5,8],[3,6]]=>7
[6,2,7,5,3,1,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[1,5,8,2,7,4,6,3]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[5,7,2,8,4,6,3,1]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[5,7,3,1,8,4,6,2]=>[[1,2,5],[3,6,7],[4,8]]=>16
[8,4,7,3,1,6,5,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>18
[2,6,8,5,7,4,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[6,5,2,1,7,4,8,3]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[5,7,4,6,2,1,8,3]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[5,6,4,8,3,7,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[6,7,1,8,3,4,2,5]=>[[1,2,4,8],[3,5,6],[7]]=>14
[7,8,3,5,1,4,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[5,6,2,7,1,8,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>14
[6,7,2,4,3,8,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[2,4,3,8,6,7,1,5]=>[[1,2,4,6],[3,5],[7,8]]=>17
[1,8,2,7,4,5,3,6]=>[[1,2,4,6,8],[3],[5],[7]]=>12
[2,5,4,8,3,6,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[2,3,1,8,5,6,4,7]=>[[1,2,4,6,8],[3,5],[7]]=>11
[3,8,5,6,4,7,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[5,7,3,6,4,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[5,7,2,3,1,6,4,8]=>[[1,2,6,8],[3,4],[5,7]]=>13
[5,7,2,4,3,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[4,6,2,7,1,5,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>13
[4,7,1,6,2,5,3,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[4,7,1,5,3,6,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[4,6,3,5,1,7,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>13
[6,7,3,5,1,4,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[5,6,3,7,1,4,2,8]=>[[1,2,4,8],[3,6],[5,7]]=>13
[5,7,1,6,3,4,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[1,8,5,6,3,4,2,7]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[1,8,5,6,4,7,2,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[5,7,1,6,4,8,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[4,6,5,8,1,7,2,3]=>[[1,2,4],[3,6,8],[5,7]]=>16
[3,7,1,4,2,8,5,6]=>[[1,2,6,8],[3,4,7],[5]]=>9
[3,5,1,4,2,8,6,7]=>[[1,2,6,8],[3,4,7],[5]]=>9
[4,6,5,8,3,7,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[4,6,5,8,2,3,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[3,4,2,6,5,8,1,7]=>[[1,2,4,6],[3,5,8],[7]]=>15
[3,5,4,6,2,8,1,7]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[1,8,3,5,4,7,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[3,4,2,7,1,8,5,6]=>[[1,2,4,6],[3,7,8],[5]]=>14
[4,7,2,3,1,8,5,6]=>[[1,2,6,8],[3,4,7],[5]]=>9
[2,4,3,8,1,7,5,6]=>[[1,2,4,8],[3,6],[5,7]]=>13
[2,5,3,8,4,7,1,6]=>[[1,2,4,6],[3,5],[7,8]]=>17
[2,6,3,8,1,7,4,5]=>[[1,2,4,8],[3,6],[5,7]]=>13
[2,7,1,8,3,6,4,5]=>[[1,2,4,8],[3,5,6],[7]]=>14
[4,5,1,8,7,6,2,3]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[4,5,7,8,2,6,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[5,2,6,8,3,7,4,1]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[3,1,6,8,7,4,5,2]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[6,1,4,8,7,2,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[6,1,8,4,7,3,5,2]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[6,8,3,5,7,1,4,2]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[4,6,7,8,2,5,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[7,4,5,2,8,6,3,1]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[6,8,2,5,3,7,4,1]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[6,3,8,4,2,7,5,1]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[3,4,7,5,8,6,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[2,7,5,3,8,6,4,1]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[5,6,2,8,3,7,4,1]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[1,5,8,2,7,3,6,4]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[6,7,4,8,1,5,3,2]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[1,7,4,8,6,2,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[6,8,5,3,7,2,4,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>22
[6,8,5,2,3,7,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[7,5,3,8,2,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[7,5,2,3,8,6,4,1]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[6,7,3,4,8,5,2,1]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[3,6,4,7,8,5,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[7,4,2,5,8,6,3,1]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[7,4,5,8,1,6,3,2]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[6,3,4,7,8,5,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[6,1,2,7,4,5,8,3]=>[[1,3,4,6,7],[2,5],[8]]=>10
[2,5,8,3,4,1,6,7]=>[[1,2,3,7,8],[4,5],[6]]=>11
[5,6,2,7,4,3,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[4,6,7,3,2,5,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[2,6,7,3,8,5,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[2,6,1,8,4,5,3,7]=>[[1,2,4,8],[3,5,6],[7]]=>14
[2,5,7,8,4,3,6,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[3,6,8,4,5,7,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>18
[1,6,8,4,7,2,3,5]=>[[1,2,3,8],[4,5],[6,7]]=>16
[1,4,5,7,8,2,6,3]=>[[1,2,3,4,5],[6,7],[8]]=>17
[3,4,5,7,8,6,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>16
[3,4,5,7,6,8,1,2]=>[[1,2,3,4,6],[5,8],[7]]=>15
[3,6,7,4,8,5,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>19
[3,4,5,6,8,7,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>16
[1,4,5,8,7,2,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>17
[1,2,5,8,3,6,4,7]=>[[1,2,3,4,8],[5,6],[7]]=>14
[1,4,5,8,6,2,3,7]=>[[1,2,3,4,8],[5,7],[6]]=>13
[7,8,1,4,6,2,3,5]=>[[1,2,5,8],[3,4],[6,7]]=>14
[1,6,7,4,8,2,5,3]=>[[1,2,3,5],[4,7],[6,8]]=>17
[1,4,5,6,8,2,7,3]=>[[1,2,3,4,5],[6,7],[8]]=>17
[1,4,5,8,6,2,7,3]=>[[1,2,3,4,7],[5,8],[6]]=>14
[1,2,5,8,3,4,7,6]=>[[1,2,3,4,7],[5,6],[8]]=>15
[1,6,7,2,3,5,8,4]=>[[1,2,3,6,7],[4,5],[8]]=>13
[7,8,1,2,3,5,4,6]=>[[1,2,5,6,8],[3,4],[7]]=>10
[1,6,7,2,3,5,4,8]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,4,5,7,6,2,3,8]=>[[1,2,3,4,8],[5,7],[6]]=>13
[1,2,5,7,3,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>14
[1,2,5,7,3,6,8,4]=>[[1,2,3,4,7],[5,6],[8]]=>15
[1,6,8,2,3,5,7,4]=>[[1,2,3,6,7],[4,5],[8]]=>13
[1,6,8,4,5,2,3,7]=>[[1,2,3,8],[4,5],[6,7]]=>16
[1,6,8,4,5,2,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>17
[1,6,8,2,3,4,7,5]=>[[1,2,3,6,7],[4,5],[8]]=>13
[1,6,8,2,3,7,4,5]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,4,5,7,6,2,8,3]=>[[1,2,3,4,7],[5,8],[6]]=>14
[7,8,1,4,5,2,6,3]=>[[1,2,5,7],[3,4],[6,8]]=>15
[7,8,1,2,3,4,6,5]=>[[1,2,5,6,7],[3,4],[8]]=>11
[7,8,1,2,3,6,4,5]=>[[1,2,5,6,8],[3,4],[7]]=>10
[1,6,7,2,3,8,5,4]=>[[1,2,3,6],[4,5,7],[8]]=>17
[1,2,5,6,3,8,7,4]=>[[1,2,3,4,6],[5,7],[8]]=>16
[4,2,1,6,5,3,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>7
[6,8,2,1,4,3,7,5]=>[[1,2,7],[3,5,8],[4,6]]=>11
[8,6,2,4,3,1,5,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[4,6,5,2,8,3,7,1]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[2,6,4,5,8,3,7,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[8,4,2,6,3,5,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[4,2,6,3,5,8,7,1]=>[[1,3,5,6],[2,4,7],[8]]=>11
[6,2,4,3,8,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[8,2,4,3,6,5,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[6,2,1,8,4,3,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>7
[6,4,8,5,2,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[4,6,8,7,5,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[2,6,8,7,4,5,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[4,2,8,6,5,7,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[8,2,6,4,5,1,3,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[2,8,5,3,1,4,6,7]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[2,7,4,8,3,5,1,6]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[2,7,4,8,3,5,6,1]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[7,2,8,4,3,5,1,6]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[8,4,2,1,5,3,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[8,5,1,4,2,3,6,7]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[8,4,1,5,3,2,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[6,7,3,8,4,2,5,1]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[6,7,3,8,4,2,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[7,1,8,4,3,5,2,6]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[1,7,8,4,3,5,2,6]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[7,1,4,8,3,5,2,6]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[7,4,8,1,5,6,2,3]=>[[1,3,6],[2,5,8],[4,7]]=>9
[7,1,8,4,3,5,6,2]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[6,7,3,1,8,4,5,2]=>[[1,2,5],[3,6,7],[4,8]]=>16
[6,7,3,8,4,5,2,1]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[6,7,1,4,8,3,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[6,7,4,1,3,8,2,5]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[1,6,7,8,4,3,2,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[7,2,1,8,4,5,3,6]=>[[1,4,6,8],[2,5],[3,7]]=>7
[6,2,7,1,8,4,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>11
[6,2,7,8,4,3,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[6,2,7,8,4,3,5,1]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[2,6,7,4,8,3,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[2,6,7,4,8,3,1,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[7,8,1,3,6,2,4,5]=>[[1,2,5,8],[3,4],[6,7]]=>14
[1,2,7,8,6,3,4,5]=>[[1,2,3,4,8],[5,7],[6]]=>13
[2,6,7,1,8,5,3,4]=>[[1,2,3,5],[4,6,8],[7]]=>17
[2,6,7,8,5,3,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[2,6,7,8,5,3,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[6,2,7,8,4,5,3,1]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[7,2,1,8,4,5,6,3]=>[[1,4,6,7],[2,5],[3,8]]=>8
[1,7,2,8,4,5,6,3]=>[[1,2,4,6,7],[3,5],[8]]=>12
[3,7,8,1,5,6,2,4]=>[[1,2,3],[4,5,6],[7,8]]=>21
[6,3,7,8,1,5,2,4]=>[[1,3,4],[2,6,8],[5,7]]=>12
[6,7,1,2,8,5,3,4]=>[[1,2,5,8],[3,4,6],[7]]=>11
[1,6,7,8,4,2,5,3]=>[[1,2,3,4],[5,7],[6,8]]=>18
[3,1,2,7,6,5,8,4]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[6,1,2,4,7,3,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>10
[1,7,5,3,6,4,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[5,1,2,6,7,4,8,3]=>[[1,3,4,5,7],[2,6],[8]]=>11
[4,1,5,7,3,2,6,8]=>[[1,3,4,8],[2,5,7],[6]]=>10
[4,6,1,7,3,2,5,8]=>[[1,2,4,8],[3,5,7],[6]]=>13
[4,6,1,8,3,2,5,7]=>[[1,2,4,8],[3,5,7],[6]]=>13
[4,7,1,8,3,5,2,6]=>[[1,2,4,8],[3,5,6],[7]]=>14
[4,1,7,8,6,2,3,5]=>[[1,3,4,8],[2,5,7],[6]]=>10
[1,6,5,7,8,3,4,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[1,6,5,8,7,3,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[4,1,8,7,6,2,3,5]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[4,8,1,7,3,5,2,6]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[4,8,1,6,3,2,5,7]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[4,7,1,6,3,2,5,8]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[6,1,2,3,7,5,4,8]=>[[1,3,4,5,8],[2,6],[7]]=>10
[6,8,1,5,3,7,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[8,7,5,2,4,1,6,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[1,5,7,3,4,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>17
[1,5,8,3,4,7,6,2]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[7,8,5,2,4,1,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[7,1,2,3,5,6,4,8]=>[[1,3,4,5,6,8],[2],[7]]=>7
[8,1,2,3,5,6,4,7]=>[[1,3,4,5,6,8],[2],[7]]=>7
[8,1,2,3,5,4,7,6]=>[[1,3,4,5,7],[2,8],[6]]=>10
[7,1,8,4,6,3,2,5]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[6,8,2,4,3,1,5,7]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[6,7,2,4,3,1,5,8]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[3,8,1,2,4,5,7,6]=>[[1,2,5,6,7],[3,4],[8]]=>11
[3,7,1,8,6,4,2,5]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[1,6,4,3,7,5,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[3,1,2,6,7,5,8,4]=>[[1,3,4,5,7],[2,6],[8]]=>11
[3,8,1,7,6,4,2,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[7,6,2,4,3,1,5,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[8,7,2,4,3,5,1,6]=>[[1,4,6,8],[2],[3],[5],[7]]=>13
[8,1,7,4,6,3,2,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[8,1,7,6,5,3,2,4]=>[[1,3,8],[2],[4],[5],[6],[7]]=>19
[1,5,7,3,4,6,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>13
[8,7,2,5,3,6,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[7,1,2,3,5,4,8,6]=>[[1,3,4,5,7],[2,8],[6]]=>10
[6,1,2,3,5,8,4,7]=>[[1,3,4,5,6],[2,8],[7]]=>11
[6,1,2,3,5,7,4,8]=>[[1,3,4,5,6,8],[2],[7]]=>7
[5,1,2,3,7,6,4,8]=>[[1,3,4,5,8],[2,6],[7]]=>10
[5,1,2,3,8,6,4,7]=>[[1,3,4,5,8],[2,6],[7]]=>10
[1,5,6,3,4,7,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>13
[8,6,5,2,4,7,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[7,6,2,5,3,1,8,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[7,4,5,2,3,8,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[8,2,3,7,4,5,1,6]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[8,4,7,3,2,5,1,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[5,4,6,3,1,2,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[4,6,2,3,1,5,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>10
[7,2,3,4,5,8,6,1]=>[[1,3,4,5,6],[2,7],[8]]=>12
[8,2,3,4,5,7,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>11
[7,3,4,6,8,5,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[4,7,3,2,8,6,1,5]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[3,7,4,5,1,8,6,2]=>[[1,2,4,6],[3,7],[5,8]]=>15
[3,8,2,6,7,4,5,1]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[4,8,1,5,6,7,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[5,8,2,4,6,7,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>16
[6,8,1,3,4,2,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>15
[5,8,2,4,3,1,7,6]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[2,1,7,6,8,5,3,4]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[3,7,6,1,8,5,2,4]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[4,7,2,3,8,5,1,6]=>[[1,2,5,8],[3,4,6],[7]]=>11
[7,1,3,6,4,8,5,2]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[7,6,1,4,8,5,2,3]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[6,2,3,7,8,5,4,1]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[6,2,3,8,4,5,1,7]=>[[1,3,4,6,8],[2,5],[7]]=>9
[7,2,3,6,8,4,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[8,2,3,5,7,1,4,6]=>[[1,3,4,5],[2,7,8],[6]]=>12
[6,4,8,3,5,1,7,2]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[5,4,8,3,6,7,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[3,5,1,8,4,6,7,2]=>[[1,2,4,7],[3,5,6],[8]]=>15
[3,6,1,8,4,5,2,7]=>[[1,2,4,8],[3,5,6],[7]]=>14
[4,6,8,3,5,2,7,1]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[5,7,8,3,2,4,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[4,8,2,3,5,6,1,7]=>[[1,2,5,6,8],[3,4],[7]]=>10
[6,8,2,3,1,4,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>8
[5,2,7,4,8,3,1,6]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[3,7,8,2,1,4,6,5]=>[[1,2,3],[4,6,7],[5,8]]=>18
[3,7,5,2,8,4,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[6,3,2,4,1,8,7,5]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[7,2,3,4,8,5,1,6]=>[[1,3,4,5,8],[2,6],[7]]=>10
[5,7,3,1,4,2,6,8]=>[[1,2,7,8],[3,5],[4,6]]=>10
[3,7,4,1,8,2,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>11
[6,3,7,4,8,1,2,5]=>[[1,3,5],[2,4,8],[6,7]]=>13
[8,3,7,4,2,6,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[3,7,4,1,5,6,2,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,8,3,2,4,5,7,6]=>[[1,2,5,6,7],[3,8],[4]]=>10
[8,4,1,6,3,7,5,2]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[8,7,4,2,1,6,3,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,3,5,2,7,4,1,6]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[1,5,3,8,7,6,4,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[7,2,4,8,1,3,6,5]=>[[1,3,4],[2,6,7],[5,8]]=>13
[1,2,8,7,5,6,3,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[3,1,8,6,7,5,2,4]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[1,4,8,6,5,7,2,3]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[1,6,5,4,8,2,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[5,1,6,8,3,4,2,7]=>[[1,3,4,8],[2,5,6],[7]]=>11
[6,2,5,1,7,4,3,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[5,2,1,8,7,4,3,6]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[5,2,6,3,8,1,4,7]=>[[1,3,5,8],[2,4,7],[6]]=>8
[5,2,8,3,4,6,1,7]=>[[1,3,5,6,8],[2,4],[7]]=>8
[6,2,8,4,3,1,7,5]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[7,2,8,1,3,6,5,4]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[7,3,8,1,4,6,2,5]=>[[1,3,6],[2,5,8],[4,7]]=>9
[1,7,8,5,4,6,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[1,5,8,4,6,3,7,2]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[5,3,8,4,1,2,7,6]=>[[1,3,7],[2,4,8],[5,6]]=>11
[5,8,4,3,6,2,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[1,8,3,6,5,2,7,4]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[1,8,2,4,7,6,5,3]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[3,8,1,4,6,7,5,2]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[3,8,2,5,1,7,6,4]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[4,3,8,2,5,1,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[8,2,4,3,5,1,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,2,1,4,6,5,7,3]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[8,1,3,4,5,7,6,2]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[6,1,5,2,4,7,8,3]=>[[1,3,5,6,7],[2],[4],[8]]=>11
[4,1,8,5,2,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[4,1,8,2,3,7,5,6]=>[[1,3,5,6,8],[2,4],[7]]=>8
[5,3,8,7,2,1,4,6]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[6,7,3,5,1,4,8,2]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[6,4,7,5,8,2,3,1]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[5,7,8,4,2,6,3,1]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[5,7,4,1,6,8,3,2]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[5,8,4,6,1,7,3,2]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[5,6,1,4,7,8,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[5,3,6,7,4,8,2,1]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[5,4,8,6,2,7,3,1]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[7,4,8,5,6,2,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[5,6,3,8,4,7,2,1]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[5,6,3,8,2,7,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[4,3,7,2,8,6,5,1]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[6,7,3,8,5,2,4,1]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[6,2,7,5,1,4,8,3]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[3,5,7,8,4,6,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[5,3,7,8,4,6,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[2,5,8,4,3,7,6,1]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[3,7,4,8,6,2,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[3,6,4,8,7,2,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[3,5,4,8,2,7,6,1]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[4,5,7,3,8,6,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[3,5,6,8,4,7,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[6,3,1,8,7,5,4,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[5,4,8,1,7,6,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[8,5,4,1,7,6,3,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[1,8,2,5,6,3,4,7]=>[[1,2,4,5,8],[3,7],[6]]=>11
[7,2,8,4,5,1,3,6]=>[[1,3,5,8],[2,4],[6,7]]=>12
[1,3,7,5,6,2,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>12
[1,6,7,4,3,5,2,8]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[1,8,5,2,3,7,4,6]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,8,2,5,3,6,7,4]=>[[1,2,4,6,7],[3,8],[5]]=>11
[2,6,8,4,3,5,7,1]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[7,5,8,3,2,1,6,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[7,2,8,4,1,5,6,3]=>[[1,3,6,7],[2,4],[5,8]]=>12
[7,5,8,1,2,6,3,4]=>[[1,3,6,8],[2,5],[4,7]]=>8
[1,6,7,4,3,2,8,5]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[1,5,2,6,4,7,8,3]=>[[1,2,4,6,7],[3,5],[8]]=>12
[1,5,4,6,2,3,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[6,2,5,7,1,4,8,3]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[6,5,4,3,8,1,7,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>14
[7,3,6,8,5,2,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[2,7,8,3,6,5,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[2,7,8,5,4,6,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[2,6,5,8,3,4,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[2,6,5,7,3,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[6,2,5,7,4,1,3,8]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[6,2,5,8,4,1,3,7]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[2,7,8,4,6,1,3,5]=>[[1,2,3],[4,5,8],[6,7]]=>19
[6,1,2,8,3,7,4,5]=>[[1,3,4,6,8],[2,5],[7]]=>9
[6,1,2,8,5,4,7,3]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[6,2,5,7,8,1,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>12
[1,5,4,2,6,7,3,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[2,6,5,7,3,8,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[1,6,2,7,5,8,4,3]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[1,3,2,7,8,5,6,4]=>[[1,2,4,5],[3,6,7],[8]]=>17
[1,6,2,4,8,7,3,5]=>[[1,2,4,5],[3,6],[7,8]]=>18
[6,5,2,1,8,7,3,4]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[2,6,5,3,7,8,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[6,2,5,3,8,4,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[6,5,2,3,8,7,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[5,4,1,2,3,8,6,7]=>[[1,4,5,6,8],[2,7],[3]]=>6
[5,1,4,2,3,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>8
[1,5,4,2,6,3,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>12
[5,1,6,3,8,2,7,4]=>[[1,3,5],[2,4,7],[6,8]]=>14
[9,8,7,6,5,4,3,1,2,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28
[8,7,6,5,4,2,1,3,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>21
[1,9,8,7,6,5,3,2,4]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>27
[1,8,7,6,2,5,4,3]=>[[1,2,6],[3],[4],[5],[7],[8]]=>22
[1,10,9,8,7,6,5,4,2,3]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>35
[2,1,9,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>32
[1,2,9,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>33
[3,2,1,9,8,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8],[9]]=>27
[1,3,2,9,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8],[9]]=>31
[1,2,3,9,8,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>30
[4,3,2,1,9,8,7,6,5]=>[[1,5],[2,6],[3,7],[4,8],[9]]=>20
[1,4,3,2,9,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8],[9]]=>27
[2,1,4,3,9,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8],[9]]=>24
[1,2,4,3,9,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8],[9]]=>28
[1,2,3,4,9,8,7,6,5]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>26
[1,5,4,3,2,9,8,7,6]=>[[1,2,6],[3,7],[4,8],[5,9]]=>21
[2,1,5,4,3,9,8,7,6]=>[[1,3,6],[2,4,7],[5,8],[9]]=>21
[1,2,5,4,3,9,8,7,6]=>[[1,2,3,6],[4,7],[5,8],[9]]=>24
[1,3,2,5,4,9,8,7,6]=>[[1,2,4,6],[3,5,7],[8],[9]]=>24
[1,2,3,5,4,9,8,7,6]=>[[1,2,3,4,6],[5,7],[8],[9]]=>24
[1,2,3,4,5,9,8,7,6]=>[[1,2,3,4,5,6],[7],[8],[9]]=>21
[1,3,2,6,5,4,9,8,7]=>[[1,2,4,7],[3,5,8],[6,9]]=>21
[1,2,3,6,5,4,9,8,7]=>[[1,2,3,4,7],[5,8],[6,9]]=>20
[2,1,4,3,6,5,9,8,7]=>[[1,3,5,7],[2,4,6,8],[9]]=>12
[1,2,4,3,6,5,9,8,7]=>[[1,2,3,5,7],[4,6,8],[9]]=>20
[1,2,3,4,6,5,9,8,7]=>[[1,2,3,4,5,7],[6,8],[9]]=>19
[1,2,3,5,4,7,6,9,8]=>[[1,2,3,4,6,8],[5,7,9]]=>15
[1,2,3,4,5,7,6,9,8]=>[[1,2,3,4,5,6,8],[7,9]]=>13
[1,2,10,9,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>42
[3,2,1,10,9,8,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>36
[1,3,2,10,9,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>40
[1,2,3,10,9,8,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>39
[1,4,3,2,10,9,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8],[9],[10]]=>36
[1,2,4,3,10,9,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8],[9],[10]]=>37
[1,2,3,4,10,9,8,7,6,5]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>35
[1,5,4,3,2,10,9,8,7,6]=>[[1,2,6],[3,7],[4,8],[5,9],[10]]=>30
[2,1,5,4,3,10,9,8,7,6]=>[[1,3,6],[2,4,7],[5,8],[9],[10]]=>30
[1,2,5,4,3,10,9,8,7,6]=>[[1,2,3,6],[4,7],[5,8],[9],[10]]=>33
[1,3,2,5,4,10,9,8,7,6]=>[[1,2,4,6],[3,5,7],[8],[9],[10]]=>33
[1,2,3,5,4,10,9,8,7,6]=>[[1,2,3,4,6],[5,7],[8],[9],[10]]=>33
[1,2,6,5,4,3,10,9,8,7]=>[[1,2,3,7],[4,8],[5,9],[6,10]]=>27
[3,2,1,6,5,4,10,9,8,7]=>[[1,4,7],[2,5,8],[3,6,9],[10]]=>18
[1,3,2,6,5,4,10,9,8,7]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[1,2,3,6,5,4,10,9,8,7]=>[[1,2,3,4,7],[5,8],[6,9],[10]]=>29
[1,2,4,3,6,5,10,9,8,7]=>[[1,2,3,5,7],[4,6,8],[9],[10]]=>29
[1,2,3,4,6,5,10,9,8,7]=>[[1,2,3,4,5,7],[6,8],[9],[10]]=>28
[1,2,3,4,5,6,10,9,8,7]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>24
[1,4,3,2,7,6,5,10,9,8]=>[[1,2,5,8],[3,6,9],[4,7,10]]=>21
[2,1,4,3,7,6,5,10,9,8]=>[[1,3,5,8],[2,4,6,9],[7,10]]=>18
[1,2,4,3,7,6,5,10,9,8]=>[[1,2,3,5,8],[4,6,9],[7,10]]=>26
[1,2,3,4,7,6,5,10,9,8]=>[[1,2,3,4,5,8],[6,9],[7,10]]=>24
[1,3,2,5,4,7,6,10,9,8]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>23
[1,2,3,5,4,7,6,10,9,8]=>[[1,2,3,4,6,8],[5,7,9],[10]]=>24
[1,2,3,4,5,7,6,10,9,8]=>[[1,2,3,4,5,6,8],[7,9],[10]]=>22
[1,2,3,4,5,6,7,10,9,8]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>17
[1,2,4,3,6,5,8,7,10,9]=>[[1,2,3,5,7,9],[4,6,8,10]]=>18
[1,2,3,4,6,5,8,7,10,9]=>[[1,2,3,4,5,7,9],[6,8,10]]=>18
[1,2,3,4,5,6,8,7,10,9]=>[[1,2,3,4,5,6,7,9],[8,10]]=>15
[5,2,7,4,1,6,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>11
[4,7,3,1,5,6,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>11
[5,8,3,4,1,6,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>14
[1,7,8,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7,8]]=>18
[1,5,8,4,2,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>15
[1,6,3,8,5,2,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>16
[6,2,3,7,5,1,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>13
[1,7,3,4,8,6,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>18
[8,7,3,2,1,6,5,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[8,7,6,3,1,5,2,4]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,5,1,7,2,3,4,6]=>[[1,4,6,7,8],[2,5],[3]]=>4
[9,8,7,6,5,2,1,4,3]=>[[1,8],[2,9],[3],[4],[5],[6],[7]]=>22
[9,8,7,3,2,1,6,5,4]=>[[1,7],[2,8],[3,9],[4],[5],[6]]=>18
[9,8,7,6,3,1,5,2,4]=>[[1,7,9],[2,8],[3],[4],[5],[6]]=>16
[9,4,3,2,1,8,7,6,5]=>[[1,6],[2,7],[3,8],[4,9],[5]]=>16
[9,8,4,3,1,7,6,2,5]=>[[1,6,9],[2,7],[3,8],[4],[5]]=>13
[9,8,7,2,1,4,3,6,5]=>[[1,6,8],[2,7,9],[3],[4],[5]]=>12
[9,8,7,4,1,6,2,3,5]=>[[1,6,8,9],[2,7],[3],[4],[5]]=>11
[5,4,3,1,9,8,7,2,6]=>[[1,5,9],[2,6],[3,7],[4,8]]=>12
[9,5,2,1,8,4,3,7,6]=>[[1,5,8],[2,6,9],[3,7],[4]]=>10
[9,8,3,1,5,2,7,4,6]=>[[1,5,7,9],[2,6,8],[3],[4]]=>8
[6,3,1,9,5,2,8,4,7]=>[[1,4,7,9],[2,5,8],[3,6]]=>7
[6,5,1,9,8,2,3,4,7]=>[[1,4,7,8,9],[2,5],[3,6]]=>6
[9,2,1,4,3,6,5,8,7]=>[[1,4,6,8],[2,5,7,9],[3]]=>6
[9,6,1,8,2,3,4,5,7]=>[[1,4,6,7,8,9],[2,5],[3]]=>4
[5,1,7,2,9,3,4,6,8]=>[[1,3,5,7,8,9],[2,4,6]]=>3
[7,1,9,2,3,4,5,6,8]=>[[1,3,5,6,7,8,9],[2,4]]=>2
[10,9,8,7,6,5,2,1,4,3]=>[[1,9],[2,10],[3],[4],[5],[6],[7],[8]]=>29
[10,9,8,7,3,2,1,6,5,4]=>[[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>24
[10,9,8,7,6,3,1,5,2,4]=>[[1,8,10],[2,9],[3],[4],[5],[6],[7]]=>22
[10,9,4,3,2,1,8,7,6,5]=>[[1,7],[2,8],[3,9],[4,10],[5],[6]]=>21
[10,9,8,4,3,1,7,6,2,5]=>[[1,7,10],[2,8],[3,9],[4],[5],[6]]=>18
[10,9,8,7,2,1,4,3,6,5]=>[[1,7,9],[2,8,10],[3],[4],[5],[6]]=>17
[10,9,8,7,4,1,6,2,3,5]=>[[1,7,9,10],[2,8],[3],[4],[5],[6]]=>16
[10,5,4,3,1,9,8,7,2,6]=>[[1,6,10],[2,7],[3,8],[4,9],[5]]=>16
[10,9,5,2,1,8,4,3,7,6]=>[[1,6,9],[2,7,10],[3,8],[4],[5]]=>14
[10,9,5,4,1,8,7,2,3,6]=>[[1,6,9,10],[2,7],[3,8],[4],[5]]=>13
[10,9,8,3,1,5,2,7,4,6]=>[[1,6,8,10],[2,7,9],[3],[4],[5]]=>12
[6,5,2,1,10,9,4,3,8,7]=>[[1,5,9],[2,6,10],[3,7],[4,8]]=>13
[6,5,4,1,10,9,8,2,3,7]=>[[1,5,9,10],[2,6],[3,7],[4,8]]=>12
[10,3,2,1,6,5,4,9,8,7]=>[[1,5,8],[2,6,9],[3,7,10],[4]]=>12
[10,6,5,1,9,8,2,3,4,7]=>[[1,5,8,9,10],[2,6],[3,7],[4]]=>9
[10,9,2,1,4,3,6,5,8,7]=>[[1,5,7,9],[2,6,8,10],[3],[4]]=>9
[10,9,6,1,8,2,3,4,5,7]=>[[1,5,7,8,9,10],[2,6],[3],[4]]=>7
[4,3,1,7,6,2,10,9,5,8]=>[[1,4,7,10],[2,5,8],[3,6,9]]=>9
[7,2,1,10,4,3,6,5,9,8]=>[[1,4,7,9],[2,5,8,10],[3,6]]=>8
[7,4,1,10,6,2,9,3,5,8]=>[[1,4,7,9,10],[2,5,8],[3,6]]=>7
[7,6,1,10,9,2,3,4,5,8]=>[[1,4,7,8,9,10],[2,5],[3,6]]=>6
[10,5,1,7,2,9,3,4,6,8]=>[[1,4,6,8,9,10],[2,5,7],[3]]=>5
[10,7,1,9,2,3,4,5,6,8]=>[[1,4,6,7,8,9,10],[2,5],[3]]=>4
[4,1,6,2,8,3,10,5,7,9]=>[[1,3,5,7,9,10],[2,4,6,8]]=>4
[6,1,8,2,10,3,4,5,7,9]=>[[1,3,5,7,8,9,10],[2,4,6]]=>3
[8,1,10,2,3,4,5,6,7,9]=>[[1,3,5,6,7,8,9,10],[2,4]]=>2
[2,4,8,5,3,7,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[2,4,1,8,5,3,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>14
[2,4,8,6,3,1,7,5]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[3,4,6,8,2,1,7,5]=>[[1,2,3,4],[5,7],[6,8]]=>18
[3,4,1,5,8,2,7,6]=>[[1,2,4,5],[3,6,7],[8]]=>17
[8,1,4,5,3,2,7,6]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[3,4,1,5,2,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>16
[3,4,6,2,1,8,7,5]=>[[1,2,3,6],[4,7],[5,8]]=>16
[3,5,6,2,1,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>12
[3,4,6,2,7,8,1,5]=>[[1,2,3,5,6],[4,8],[7]]=>14
[8,1,4,6,3,7,2,5]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[8,1,4,6,3,7,5,2]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[3,5,6,2,1,7,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[8,1,5,6,7,3,4,2]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[8,1,5,6,7,3,2,4]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[3,4,1,6,8,7,2,5]=>[[1,2,4,5],[3,6,8],[7]]=>16
[3,5,6,1,8,7,2,4]=>[[1,2,3,5],[4,6,8],[7]]=>17
[2,1,3,8,6,7,4,5]=>[[1,3,4,6],[2,5,8],[7]]=>12
[8,1,3,2,6,7,5,4]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[2,3,8,6,7,1,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[2,4,1,8,6,7,5,3]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[2,5,8,6,1,7,4,3]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[3,5,6,1,8,7,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[3,4,1,6,8,7,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[3,4,6,8,7,1,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[8,1,4,6,2,7,5,3]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[3,5,1,6,7,8,4,2]=>[[1,2,4,5,6],[3,7],[8]]=>14
[4,5,6,1,7,8,3,2]=>[[1,2,3,5,6],[4,7],[8]]=>15
[4,5,6,1,7,3,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>14
[3,5,1,6,7,4,8,2]=>[[1,2,4,5,7],[3,6],[8]]=>13
[8,1,5,6,7,4,2,3]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[8,1,5,6,7,4,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[3,5,1,6,7,4,2,8]=>[[1,2,4,5,8],[3,6],[7]]=>12
[4,5,6,1,7,3,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>13
[6,5,8,7,4,3,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[6,4,2,7,8,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[6,1,4,8,7,5,2,3]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[1,6,4,8,7,5,2,3]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[1,8,6,2,4,7,3,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[8,1,6,2,4,7,3,5]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[7,6,2,1,4,8,3,5]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[6,4,1,7,8,5,2,3]=>[[1,4,5],[2,6,8],[3,7]]=>10
[7,6,1,2,4,8,3,5]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[7,6,1,3,4,8,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[8,1,6,3,4,7,2,5]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[1,8,6,3,4,7,2,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[1,7,2,5,4,8,3,6]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[7,1,2,5,4,8,3,6]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[2,7,1,5,4,8,3,6]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[2,8,6,3,4,7,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[2,8,6,1,4,7,3,5]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[7,2,1,5,4,8,3,6]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[1,2,7,5,4,8,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[3,2,7,5,4,8,1,6]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[2,5,8,4,7,3,1,6]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[2,3,7,5,4,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[6,8,3,2,4,7,1,5]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[3,7,2,5,4,8,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[3,1,7,5,4,8,2,6]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[1,3,7,5,4,8,2,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[1,5,8,4,7,3,2,6]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[5,1,8,4,7,3,2,6]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[5,8,2,4,7,3,1,6]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[6,8,4,3,7,5,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>22
[8,7,5,6,2,1,4,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>15
[8,5,2,4,7,3,1,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[8,1,5,4,7,3,2,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[1,8,5,4,7,3,2,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[1,7,3,5,4,8,2,6]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[8,6,3,1,4,7,2,5]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[8,6,4,2,7,5,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[8,6,4,1,7,2,5,3]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[5,3,7,4,6,8,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[4,1,3,2,7,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>10
[1,4,3,2,7,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>13
[2,4,3,1,7,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>13
[2,7,3,5,4,8,1,6]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[2,8,5,4,7,3,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[5,7,3,4,6,8,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[8,2,5,4,7,3,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[7,2,3,5,4,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[3,2,1,4,7,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>9
[8,1,7,6,4,3,5,2]=>[[1,3,7],[2],[4],[5],[6],[8]]=>20
[8,6,4,5,2,7,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[7,1,8,6,4,3,5,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[7,4,2,5,1,6,3,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[7,3,6,5,2,1,4,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[8,3,6,5,2,1,7,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[7,3,6,5,2,1,8,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[7,5,8,6,4,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[5,4,2,8,1,3,7,6]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[5,8,2,6,4,1,3,7]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[6,4,2,5,1,8,3,7]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[6,3,5,2,1,4,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[2,5,8,6,3,1,4,7]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[2,3,5,8,1,4,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>19
[2,3,6,8,1,5,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>19
[6,3,8,5,2,7,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[6,3,7,5,2,1,4,8]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[2,5,7,6,3,1,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[2,8,7,6,3,1,5,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[2,5,8,7,6,3,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[2,4,8,1,6,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[2,8,7,3,6,1,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[7,3,5,2,1,4,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[8,4,2,5,1,3,7,6]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[2,3,6,8,1,4,7,5]=>[[1,2,3,4],[5,6,7],[8]]=>19
[2,7,8,6,3,1,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[7,3,8,5,2,1,4,6]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[2,3,6,1,8,4,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>18
[2,8,6,3,1,4,5,7]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[8,3,5,2,1,4,6,7]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[2,4,8,1,3,7,5,6]=>[[1,2,3,8],[4,5,6],[7]]=>15
[2,5,8,1,7,3,6,4]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[2,8,1,5,7,3,6,4]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[3,8,6,1,4,7,5,2]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[2,6,8,1,5,7,3,4]=>[[1,2,3],[4,5,6],[7,8]]=>21
[2,7,1,5,8,3,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>10
[3,7,5,8,1,2,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>17
[7,3,6,1,2,8,4,5]=>[[1,3,6,8],[2,5,7],[4]]=>6
[7,4,8,1,6,5,2,3]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[7,4,5,8,6,1,2,3]=>[[1,3,4],[2,5,8],[6,7]]=>15
[6,8,4,5,1,7,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>14
[5,1,8,7,6,2,3,4]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[4,6,1,8,7,5,2,3]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[4,5,1,8,7,2,3,6]=>[[1,2,4,8],[3,5,7],[6]]=>13
[3,4,8,7,1,2,5,6]=>[[1,2,3,8],[4,6,7],[5]]=>13
[6,4,8,7,1,2,5,3]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[5,6,8,3,7,1,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[6,5,1,2,7,3,8,4]=>[[1,4,5,7],[2,6,8],[3]]=>8
[6,5,1,8,2,7,3,4]=>[[1,4,6,8],[2,5],[3,7]]=>7
[6,5,1,8,7,2,3,4]=>[[1,4,7,8],[2,5],[3,6]]=>6
[6,5,1,7,2,8,3,4]=>[[1,4,6,8],[2,5,7],[3]]=>5
[6,5,1,7,2,3,8,4]=>[[1,4,6,7],[2,5,8],[3]]=>6
[5,6,8,7,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[6,8,5,7,4,1,2,3]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[7,3,8,1,5,2,4,6]=>[[1,3,7,8],[2,5],[4,6]]=>7
[4,1,7,5,3,6,2,8]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[1,8,4,2,3,6,7,5]=>[[1,2,5,6,7],[3,8],[4]]=>10
[2,5,8,3,4,6,7,1]=>[[1,2,3,6,7],[4,5],[8]]=>13
[4,1,7,2,3,6,8,5]=>[[1,3,5,6,7],[2,4],[8]]=>9
[4,6,2,1,5,7,8,3]=>[[1,2,6,7],[3,5],[4,8]]=>12
[4,5,2,3,1,7,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>10
[3,2,6,7,4,1,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>11
[5,6,2,7,1,4,8,3]=>[[1,2,4,7],[3,6],[5,8]]=>14
[6,2,3,8,1,7,4,5]=>[[1,3,4,8],[2,6],[5,7]]=>10
[2,6,8,3,4,7,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>18
[4,6,2,7,5,1,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>15
[2,6,3,1,8,4,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>8
[2,4,3,7,8,1,5,6]=>[[1,2,4,5],[3,7,8],[6]]=>15
[5,3,2,7,4,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[5,1,2,7,6,8,4,3]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[2,6,3,1,8,7,4,5]=>[[1,2,5,8],[3,6],[4,7]]=>12
[3,5,6,4,7,8,1,2]=>[[1,2,3,5,6],[4,8],[7]]=>14
[5,3,6,4,2,8,7,1]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[5,4,2,3,7,8,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[4,1,8,2,5,7,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>10
[3,1,8,4,7,2,5,6]=>[[1,3,5,8],[2,4,7],[6]]=>8
[6,2,3,8,4,1,7,5]=>[[1,3,4,7],[2,5],[6,8]]=>14
[2,6,4,1,5,3,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>12
[3,2,7,6,4,1,8,5]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[2,5,4,1,7,6,8,3]=>[[1,2,5,7],[3,6],[4,8]]=>13
[6,2,1,4,7,8,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>9
[2,6,5,1,7,8,3,4]=>[[1,2,5,6],[3,7,8],[4]]=>13
[4,7,5,2,1,6,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[4,2,3,7,8,1,6,5]=>[[1,3,4,5],[2,7],[6,8]]=>13
[5,8,3,1,7,2,4,6]=>[[1,2,7,8],[3,5],[4,6]]=>10
[6,8,3,1,5,2,4,7]=>[[1,2,7,8],[3,5],[4,6]]=>10
[5,1,7,4,2,6,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>11
[6,8,3,2,5,1,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[6,8,4,3,1,5,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[6,8,4,2,1,5,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[5,1,7,3,2,4,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[5,2,1,8,3,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>8
[4,3,8,1,6,2,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>8
[4,2,1,8,5,7,3,6]=>[[1,4,6],[2,5,8],[3,7]]=>8
[6,3,2,1,7,4,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[6,4,2,1,7,5,3,8]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[7,5,2,1,8,6,3,4]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[5,3,2,7,6,1,4,8]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[5,3,2,8,6,1,4,7]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[6,3,2,8,7,1,4,5]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[4,2,8,1,7,3,5,6]=>[[1,3,7,8],[2,5],[4,6]]=>7
[4,3,8,7,2,1,5,6]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[2,1,5,8,4,7,3,6]=>[[1,3,4],[2,5,6],[7,8]]=>17
[4,3,1,6,2,7,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>5
[5,4,1,7,2,8,6,3]=>[[1,4,6],[2,5,7],[3,8]]=>9
[6,5,3,1,7,8,4,2]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[6,4,2,1,7,8,5,3]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[5,3,2,1,6,7,8,4]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[8,6,1,4,5,7,2,3]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[5,2,8,3,7,4,6,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[6,2,8,5,4,7,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[1,8,6,3,7,4,2,5]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[1,8,6,5,7,2,3,4]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[5,2,8,4,3,6,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[5,4,2,7,3,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[5,4,2,8,3,6,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[6,5,3,8,4,7,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[5,2,8,4,3,7,1,6]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[6,2,8,3,7,4,1,5]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[5,4,2,7,3,1,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[6,4,3,7,1,2,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[6,4,3,8,1,2,7,5]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[7,6,3,8,4,2,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[7,2,8,5,1,6,3,4]=>[[1,3,6],[2,4,8],[5,7]]=>12
[7,2,8,4,3,1,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[7,5,3,8,4,2,6,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[6,4,2,7,3,1,5,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[7,6,4,8,2,3,5,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[7,6,8,1,2,5,3,4]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[5,3,1,7,8,4,6,2]=>[[1,4,5],[2,6,7],[3,8]]=>11
[5,3,2,7,8,4,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[5,4,1,6,3,8,7,2]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[6,5,1,7,8,2,3,4]=>[[1,4,5,8],[2,6,7],[3]]=>7
[6,3,1,7,8,4,2,5]=>[[1,4,5],[2,6,8],[3,7]]=>10
[5,4,1,7,3,8,2,6]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[6,3,2,7,8,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[6,1,5,4,3,2,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[8,7,6,1,3,5,2,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[8,1,6,5,7,3,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[8,4,1,5,7,6,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[7,8,6,2,5,3,1,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[6,1,3,5,2,8,4,7]=>[[1,3,4,6],[2,7,8],[5]]=>11
[8,1,3,7,4,2,5,6]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[4,3,8,7,5,2,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[6,7,1,8,5,3,4,2]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[2,7,6,4,8,3,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[6,5,2,7,1,4,8,3]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[7,4,6,1,3,2,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[7,5,2,1,3,8,4,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[8,4,7,6,3,1,5,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[7,4,1,5,6,3,8,2]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[3,4,7,5,6,1,8,2]=>[[1,2,3,5,7],[4,8],[6]]=>13
[2,4,7,5,6,3,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>15
[5,4,1,7,6,2,8,3]=>[[1,4,7],[2,5,8],[3,6]]=>7
[3,5,6,7,1,4,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>15
[2,7,6,1,3,4,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>9
[5,7,2,1,6,3,8,4]=>[[1,2,7],[3,5,8],[4,6]]=>11
[4,7,2,5,6,3,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[8,6,2,5,7,1,4,3]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[2,7,4,5,3,8,1,6]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[6,8,7,1,3,2,5,4]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[2,8,6,5,7,1,4,3]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[5,8,4,3,2,6,7,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[1,8,5,6,2,4,7,3]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[8,1,5,6,2,4,7,3]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[6,4,8,1,3,2,7,5]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[1,4,5,2,8,6,7,3]=>[[1,2,3,5,7],[4,6],[8]]=>14
[2,3,1,7,8,6,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>16
[3,5,7,6,2,8,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[4,5,6,1,2,8,7,3]=>[[1,2,3,6],[4,5,7],[8]]=>17
[5,4,1,2,8,6,7,3]=>[[1,4,5,7],[2,6],[3,8]]=>9
[8,4,5,2,1,6,7,3]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[3,1,2,6,8,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>14
[5,1,3,2,7,8,4,6]=>[[1,3,5,6],[2,7,8],[4]]=>10
[1,5,4,2,7,8,3,6]=>[[1,2,5,6],[3,7,8],[4]]=>13
[4,6,7,8,3,1,5,2]=>[[1,2,3,4],[5,7],[6,8]]=>18
[7,6,2,8,4,3,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[5,2,8,6,3,4,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[5,6,8,4,3,2,7,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[5,3,8,1,7,2,4,6]=>[[1,3,7,8],[2,5],[4,6]]=>7
[3,6,7,8,4,2,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[6,5,1,8,4,3,7,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[6,3,8,4,2,1,7,5]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[2,5,8,3,1,6,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>15
[3,5,8,1,2,6,7,4]=>[[1,2,3,7],[4,5,6],[8]]=>16
[3,2,8,1,5,6,7,4]=>[[1,3,6,7],[2,5],[4,8]]=>9
[1,5,8,3,2,6,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>15
[1,3,8,6,2,4,7,5]=>[[1,2,3,7],[4,6,8],[5]]=>14
[3,2,7,8,4,6,1,5]=>[[1,3,4],[2,5,6],[7,8]]=>17
[5,1,8,3,4,6,7,2]=>[[1,3,5,6,7],[2,4],[8]]=>9
[4,8,7,2,1,6,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[2,8,1,6,3,4,7,5]=>[[1,2,6,7],[3,4,8],[5]]=>10
[8,3,4,2,1,6,5,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[6,4,7,2,5,8,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[8,4,5,2,6,3,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[2,4,5,8,3,6,1,7]=>[[1,2,3,4,8],[5,6],[7]]=>14
[3,5,8,1,2,6,4,7]=>[[1,2,3,8],[4,5,6],[7]]=>15
[8,6,1,3,5,2,4,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[8,5,1,2,6,4,3,7]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[5,8,6,1,3,4,2,7]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[5,8,4,6,1,3,2,7]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[7,3,4,5,2,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[5,7,4,3,6,1,8,2]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[2,6,4,3,7,8,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[7,4,1,8,3,2,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[6,2,1,7,8,4,5,3]=>[[1,4,5],[2,6,7],[3,8]]=>11
[7,6,3,1,5,4,8,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[2,4,6,5,1,7,8,3]=>[[1,2,3,6,7],[4,8],[5]]=>12
[1,4,7,5,6,8,2,3]=>[[1,2,3,5,6],[4,8],[7]]=>14
[1,4,7,6,5,8,2,3]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[3,7,5,2,4,6,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[5,6,1,7,4,2,8,3]=>[[1,2,4,7],[3,5,8],[6]]=>14
[3,7,4,8,1,2,6,5]=>[[1,2,4],[3,6,7],[5,8]]=>17
[6,3,5,7,8,1,4,2]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[3,6,5,7,1,8,4,2]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[6,4,7,8,2,1,3,5]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[6,7,3,8,4,1,2,5]=>[[1,2,4],[3,5,8],[6,7]]=>18
[2,7,8,3,4,6,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>18
[7,5,8,4,1,3,2,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[4,7,5,8,3,1,2,6]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[3,6,7,4,8,1,2,5]=>[[1,2,3,5],[4,7,8],[6]]=>16
[5,7,3,1,6,8,4,2]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[2,7,3,1,8,6,4,5]=>[[1,2,5,8],[3,6],[4,7]]=>12
[2,8,4,3,1,5,7,6]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[4,8,1,2,3,5,7,6]=>[[1,2,5,6,7],[3,4],[8]]=>11
[7,6,8,1,2,4,3,5]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[7,6,8,5,1,3,2,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[2,8,5,4,6,1,7,3]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[8,4,5,2,7,6,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[8,7,6,4,1,2,5,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[6,7,1,3,5,2,8,4]=>[[1,2,5,7],[3,4],[6,8]]=>15
[5,7,2,3,6,8,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>16
[8,5,3,2,7,6,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[3,4,6,7,5,8,1,2]=>[[1,2,3,4,6],[5,8],[7]]=>15
[3,4,5,7,6,1,8,2]=>[[1,2,3,4,7],[5,8],[6]]=>14
[2,6,4,5,7,8,3,1]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[3,8,5,1,6,2,7,4]=>[[1,2,5,7],[3,6,8],[4]]=>12
[2,5,1,3,6,8,7,4]=>[[1,2,5,6],[3,4,7],[8]]=>13
[5,4,6,1,3,7,8,2]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[6,3,5,7,1,4,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[7,3,4,6,8,1,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[3,7,8,4,1,5,6,2]=>[[1,2,3,7],[4,6],[5,8]]=>15
[8,7,5,4,2,1,6,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[6,7,2,5,1,8,4,3]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[3,6,1,2,5,8,4,7]=>[[1,2,5,6],[3,4,8],[7]]=>12
[1,4,5,8,2,3,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>19
[1,2,6,4,5,8,3,7]=>[[1,2,3,5,6],[4,8],[7]]=>14
[1,5,2,4,6,8,3,7]=>[[1,2,4,5,6],[3,8],[7]]=>13
[3,6,1,5,8,2,4,7]=>[[1,2,5,8],[3,4,7],[6]]=>10
[2,6,5,1,4,8,3,7]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[5,2,6,1,4,8,3,7]=>[[1,3,6],[2,5,8],[4,7]]=>9
[2,5,1,8,4,7,3,6]=>[[1,2,4],[3,5,6],[7,8]]=>20
[2,7,1,4,3,6,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>10
[1,3,7,5,8,2,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>16
[8,2,1,5,7,3,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>7
[2,5,4,8,1,3,7,6]=>[[1,2,4],[3,6,7],[5,8]]=>17
[2,4,1,3,8,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>12
[8,4,3,7,1,2,6,5]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[1,7,3,5,8,2,6,4]=>[[1,2,4,5],[3,7],[6,8]]=>16
[1,8,4,2,6,7,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>13
[3,1,6,8,7,2,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>10
[7,2,1,6,8,3,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>7
[3,1,7,6,8,2,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>8
[4,1,7,2,6,8,3,5]=>[[1,3,5,6],[2,4,8],[7]]=>10
[5,1,7,2,3,6,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>9
[7,2,1,6,3,5,8,4]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[2,6,1,7,3,5,8,4]=>[[1,2,4,7],[3,5,6],[8]]=>15
[7,1,2,5,3,6,8,4]=>[[1,3,4,6,7],[2,8],[5]]=>9
[5,4,1,2,7,8,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>9
[8,1,3,2,4,6,7,5]=>[[1,3,5,6,7],[2,8],[4]]=>8
[7,3,1,2,4,6,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>7
[1,8,3,4,7,2,5,6]=>[[1,2,4,5,8],[3,7],[6]]=>11
[3,5,8,1,2,7,4,6]=>[[1,2,3,8],[4,5,6],[7]]=>15
[3,6,8,1,2,4,7,5]=>[[1,2,3,7],[4,5,6],[8]]=>16
[4,1,3,8,7,2,6,5]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[1,3,7,4,8,2,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>17
[1,4,6,8,2,3,7,5]=>[[1,2,3,4],[5,6,7],[8]]=>19
[3,5,8,1,7,2,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>14
[2,6,8,1,7,3,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>14
[6,1,5,8,2,3,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>11
[1,8,3,2,7,5,6,4]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[3,1,7,2,8,5,6,4]=>[[1,3,5,7],[2,4,6],[8]]=>10
[2,6,7,3,8,1,5,4]=>[[1,2,3,5],[4,7],[6,8]]=>17
[8,4,1,7,3,6,2,5]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[3,7,2,8,6,1,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[6,2,3,8,7,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[5,1,7,8,4,2,6,3]=>[[1,3,4],[2,5,7],[6,8]]=>16
[5,1,8,7,4,2,6,3]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[4,7,2,8,3,6,5,1]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[4,1,7,8,5,3,6,2]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[5,1,7,4,8,3,6,2]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[4,1,8,7,5,3,6,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[4,8,2,7,3,6,5,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[4,7,2,6,3,5,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[6,8,2,4,3,7,5,1]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[6,7,2,4,3,8,5,1]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[6,8,2,7,3,5,4,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[3,8,7,2,4,1,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[3,7,8,2,4,1,5,6]=>[[1,2,3,8],[4,5,7],[6]]=>14
[3,6,8,2,4,5,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>16
[3,6,7,2,4,5,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>16
[6,5,1,4,2,3,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[8,6,1,7,2,5,4,3]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[8,7,6,1,2,3,5,4]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[5,4,3,1,6,2,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[8,3,4,7,1,6,2,5]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[6,3,4,1,8,5,2,7]=>[[1,3,5,8],[2,6],[4,7]]=>9
[3,8,5,2,7,1,6,4]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[2,8,6,7,5,3,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[2,1,8,7,3,6,4,5]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[3,6,5,8,2,4,7,1]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[5,2,1,8,7,3,4,6]=>[[1,4,7,8],[2,5],[3,6]]=>6
[6,5,2,7,4,3,8,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[4,6,5,2,7,3,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[6,2,7,1,8,3,5,4]=>[[1,3,5],[2,6,7],[4,8]]=>12
[2,7,5,4,8,3,6,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[8,7,5,1,2,6,4,3]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[8,4,3,2,7,1,6,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>14
[7,1,6,2,3,8,5,4]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[4,8,1,3,2,7,5,6]=>[[1,2,6,8],[3,4],[5,7]]=>13
[3,8,1,4,7,5,2,6]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[6,3,8,7,4,5,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[6,1,4,8,5,2,3,7]=>[[1,3,4,8],[2,5],[6,7]]=>13
[8,5,7,4,6,2,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>18
[4,6,7,8,2,3,5,1]=>[[1,2,3,4],[5,6,7],[8]]=>19
[8,7,4,6,2,1,5,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>15
[7,6,1,3,5,2,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[5,8,3,2,4,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[8,2,6,5,3,1,7,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[4,8,7,6,5,2,3,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>23
[2,1,8,6,4,3,7,5]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[2,1,7,6,5,3,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[2,7,6,1,3,5,8,4]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[7,2,5,4,6,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[4,7,6,1,2,5,8,3]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[2,4,1,7,6,8,5,3]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[3,4,1,7,8,5,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>17
[7,5,4,3,1,8,6,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[8,5,6,2,7,3,1,4]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[8,4,2,5,6,1,7,3]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[6,3,5,4,1,7,8,2]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[4,1,3,6,7,5,8,2]=>[[1,3,4,5,7],[2,6],[8]]=>11
[1,7,2,4,5,8,3,6]=>[[1,2,4,5,6],[3,8],[7]]=>13
[1,7,4,5,8,3,2,6]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[2,6,4,7,8,3,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[1,2,6,4,7,8,3,5]=>[[1,2,3,5,6],[4,8],[7]]=>14
[6,1,4,7,8,3,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[3,6,4,7,8,1,5,2]=>[[1,2,4,5],[3,7],[6,8]]=>16
[4,3,6,7,1,8,2,5]=>[[1,3,4,6],[2,7,8],[5]]=>11
[3,6,4,7,8,1,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>15
[4,7,2,1,5,3,8,6]=>[[1,2,7],[3,5,8],[4,6]]=>11
[1,3,6,4,7,2,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>13
[3,6,4,7,2,8,5,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[5,1,3,4,2,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>9
[5,4,2,1,3,7,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[1,6,7,3,8,2,5,4]=>[[1,2,3,5],[4,7],[6,8]]=>17
[6,1,4,7,8,5,2,3]=>[[1,3,4,5],[2,6],[7,8]]=>16
[6,3,2,1,7,8,5,4]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[8,6,5,1,3,2,4,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[6,4,7,8,3,2,5,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[3,8,4,7,1,2,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>12
[8,6,1,2,5,4,3,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[4,8,6,1,5,3,2,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[5,8,6,4,1,3,2,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[8,3,6,4,5,2,1,7]=>[[1,3,5,8],[2],[4],[6],[7]]=>15
[6,8,5,7,4,2,3,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>24
[2,3,8,7,1,6,4,5]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[4,3,7,8,1,6,2,5]=>[[1,3,4],[2,6,8],[5,7]]=>12
[3,5,8,7,4,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[7,3,8,4,1,2,5,6]=>[[1,3,7,8],[2,4],[5,6]]=>10
[4,8,1,2,7,3,5,6]=>[[1,2,5,7,8],[3,4],[6]]=>9
[6,8,1,2,7,4,5,3]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[5,6,8,4,1,3,7,2]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[8,5,4,7,1,6,3,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[2,5,8,7,3,6,4,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[2,4,8,7,5,6,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[3,7,4,8,5,6,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[6,4,8,7,5,1,2,3]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[3,8,5,2,4,6,7,1]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[5,7,1,8,4,6,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>20
[6,3,8,7,2,1,4,5]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[2,3,7,8,5,6,1,4]=>[[1,2,3,4],[5,6],[7,8]]=>20
[3,7,6,8,5,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[2,6,7,8,5,1,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>17
[2,4,7,8,1,6,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>18
[5,4,7,8,2,6,3,1]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[2,8,3,4,1,5,7,6]=>[[1,2,4,6,7],[3,8],[5]]=>11
[6,8,3,4,1,2,7,5]=>[[1,2,7],[3,4,8],[5,6]]=>13
[6,8,7,1,5,2,3,4]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[5,8,3,2,7,6,1,4]=>[[1,2],[3,5],[4,6],[7,8]]=>22
[2,5,3,1,8,6,7,4]=>[[1,2,5,7],[3,6],[4,8]]=>13
[4,5,3,2,8,6,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[3,5,8,6,1,4,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[2,8,5,6,1,4,7,3]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[4,8,6,1,5,2,7,3]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[5,8,2,3,7,6,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[4,6,8,5,3,2,7,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[2,6,4,8,5,1,7,3]=>[[1,2,4,7],[3,5],[6,8]]=>16
[7,6,4,8,5,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[3,4,8,6,5,2,7,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>19
[3,4,8,7,5,6,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>20
[7,5,3,2,8,6,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[2,5,1,3,8,6,7,4]=>[[1,2,5,7],[3,4,6],[8]]=>12
[4,5,1,2,8,6,7,3]=>[[1,2,5,7],[3,4,6],[8]]=>12
[5,4,8,1,3,6,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[8,3,5,4,1,6,7,2]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[7,3,4,8,5,6,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>15
[6,1,5,7,2,4,8,3]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[7,4,5,1,2,3,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>7
[7,4,3,1,2,8,5,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[8,4,7,6,2,1,5,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[8,4,6,5,7,1,3,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[7,2,1,4,5,8,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>9
[7,4,1,6,3,5,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[3,5,7,6,4,1,8,2]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[4,7,5,2,1,3,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[5,7,2,3,6,4,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[8,6,2,3,7,1,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[5,7,2,4,8,3,6,1]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[1,7,2,4,8,6,3,5]=>[[1,2,4,5],[3,6],[7,8]]=>18
[7,6,1,5,4,8,3,2]=>[[1,4,6],[2],[3],[5],[7],[8]]=>20
[4,7,3,2,1,8,5,6]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[3,1,7,2,5,8,4,6]=>[[1,3,5,6],[2,4,8],[7]]=>10
[4,8,7,6,1,2,5,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[7,8,6,1,3,2,5,4]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[2,8,6,7,4,1,3,5]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[5,8,6,4,2,3,1,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[2,8,3,1,6,5,4,7]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[3,8,1,2,5,7,4,6]=>[[1,2,5,6],[3,4,8],[7]]=>12
[6,8,5,4,2,7,3,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[6,8,3,1,2,4,5,7]=>[[1,2,6,7,8],[3,5],[4]]=>7
[4,6,8,7,3,1,5,2]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[6,5,3,7,8,4,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[4,1,3,8,7,5,6,2]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[6,2,7,4,8,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>13
[8,4,5,2,1,6,3,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[4,3,2,6,8,1,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[7,1,5,6,3,8,2,4]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[5,1,2,4,7,8,3,6]=>[[1,3,4,5,6],[2,8],[7]]=>11
[3,5,4,2,8,1,6,7]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[5,1,3,8,4,2,7,6]=>[[1,3,4,7],[2,5],[6,8]]=>14
[6,2,8,7,3,5,4,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[7,1,8,4,3,6,5,2]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[3,6,8,7,4,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[5,6,8,1,7,3,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[3,1,6,8,7,4,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[7,4,6,8,2,1,5,3]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[6,5,8,4,3,1,2,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[2,5,8,3,6,7,4,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[8,5,1,3,7,4,6,2]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[1,5,8,3,7,4,2,6]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[3,8,2,7,1,5,6,4]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[5,8,2,3,6,4,1,7]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[6,8,2,3,4,7,5,1]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[7,5,1,8,4,2,6,3]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[3,6,8,5,2,7,4,1]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[2,1,6,5,4,8,3,7]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[2,1,7,8,4,6,5,3]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[2,1,7,4,3,5,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>8
[3,5,7,8,4,6,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>20
[7,5,2,8,4,6,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[7,8,2,4,3,1,5,6]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[7,6,3,8,1,5,4,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[8,4,3,1,7,5,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[7,3,1,4,6,8,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[4,3,8,7,1,6,5,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[5,2,4,3,6,8,1,7]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[3,8,6,5,4,1,2,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[4,7,5,6,3,8,2,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>19
[4,2,7,5,8,3,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[5,8,2,7,3,4,6,1]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[6,7,2,4,5,3,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[6,3,2,1,4,8,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[6,2,3,1,4,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>8
[5,2,1,3,6,4,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>8
[7,1,8,3,5,4,6,2]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[7,1,2,4,8,5,6,3]=>[[1,3,4,5,7],[2,6],[8]]=>11
[7,2,1,3,4,5,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>7
[8,7,3,5,4,2,1,6]=>[[1,4,8],[2],[3],[5],[6],[7]]=>18
[8,4,6,5,3,2,1,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>19
[5,1,6,4,3,2,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[8,3,7,1,4,6,5,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[2,8,3,6,4,7,5,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[6,2,1,7,5,8,3,4]=>[[1,4,6],[2,5,8],[3,7]]=>8
[6,3,8,7,5,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[6,7,2,1,5,8,4,3]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[7,6,8,1,5,4,3,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>23
[7,1,9,8,6,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>32
[6,1,9,8,7,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>32
[5,4,8,7,6,1,3,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[5,1,9,8,7,6,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>32
[4,1,9,8,7,6,5,3,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>32
[3,1,9,8,7,6,5,4,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>32
[7,6,1,8,5,4,3,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>22
[8,1,10,9,7,6,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>41
[6,5,8,1,7,4,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[7,1,10,9,8,6,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>41
[6,1,10,9,8,7,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>41
[6,5,8,7,4,1,3,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[5,1,10,9,8,7,6,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>41
[4,1,10,9,8,7,6,5,3,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>41
[3,2,9,8,7,6,5,4,1]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>32
[3,1,10,9,8,7,6,5,4,2]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>41
[1,6,4,8,3,2,5,7]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[1,8,3,5,6,2,4,7]=>[[1,2,4,5,8],[3,7],[6]]=>11
[1,4,8,5,6,2,3,7]=>[[1,2,3,5,8],[4,7],[6]]=>12
[1,2,8,5,3,7,4,6]=>[[1,2,3,6,8],[4,7],[5]]=>11
[6,1,4,8,2,3,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>7
[8,7,2,5,6,1,4,3]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[1,8,2,5,4,7,3,6]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[5,7,4,1,2,3,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>9
[1,7,4,2,5,3,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>12
[6,7,4,2,1,3,8,5]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[6,4,3,8,5,7,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[7,4,3,6,2,1,5,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[7,2,5,3,4,1,6,8]=>[[1,3,5,7,8],[2],[4],[6]]=>9
[8,3,7,4,5,6,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[2,7,4,3,1,5,6,8]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[6,8,4,2,3,1,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[3,7,5,2,4,1,6,8]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[7,1,3,2,8,4,5,6]=>[[1,3,5,7,8],[2,6],[4]]=>6
[2,1,7,4,8,3,5,6]=>[[1,3,5,8],[2,4,7],[6]]=>8
[5,2,8,6,1,3,4,7]=>[[1,3,7,8],[2,4],[5,6]]=>10
[2,8,3,1,4,5,6,7]=>[[1,2,5,6,7,8],[3],[4]]=>5
[7,4,8,2,3,1,5,6]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[4,2,7,3,1,5,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[8,3,7,2,1,4,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[6,5,2,4,7,1,3,8]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[6,5,7,4,1,8,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[7,6,4,5,1,8,2,3]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[8,6,4,1,3,7,2,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[6,4,3,1,8,2,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[7,4,1,2,8,3,5,6]=>[[1,4,5,7,8],[2,6],[3]]=>5
[4,8,1,3,5,7,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>16
[7,8,4,1,3,6,2,5]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[6,5,8,1,3,7,2,4]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[5,3,6,1,8,2,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>8
[4,7,3,1,8,2,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>11
[8,3,1,7,2,4,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>4
[2,8,1,4,7,3,5,6]=>[[1,2,5,8],[3,4,7],[6]]=>10
[3,1,8,5,4,7,6,2]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[4,1,5,8,3,7,6,2]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[4,1,5,3,8,7,6,2]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[4,5,1,8,2,7,6,3]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[4,8,5,3,1,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[4,5,2,8,1,7,6,3]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[4,5,2,1,8,7,6,3]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[5,6,2,7,8,1,4,3]=>[[1,2,4,5],[3,7],[6,8]]=>16
[4,6,2,8,7,1,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[4,8,6,3,7,1,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[4,8,6,3,7,5,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[4,6,8,2,7,5,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[4,6,2,8,7,5,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[5,6,2,7,4,1,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>16
[5,6,7,2,3,1,8,4]=>[[1,2,3,7],[4,5,8],[6]]=>15
[5,6,7,2,8,3,1,4]=>[[1,2,3,5],[4,6,8],[7]]=>17
[5,6,7,2,1,8,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>15
[5,6,7,2,1,3,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>14
[5,6,1,7,8,2,4,3]=>[[1,2,4,5],[3,6,7],[8]]=>17
[5,6,1,7,2,4,8,3]=>[[1,2,4,7],[3,5,6],[8]]=>15
[5,1,6,7,8,3,4,2]=>[[1,3,4,5],[2,6,7],[8]]=>14
[4,1,6,8,7,3,5,2]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[3,1,8,6,7,5,4,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[4,1,6,8,7,5,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[5,1,6,7,4,8,3,2]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[5,6,1,7,8,4,2,3]=>[[1,2,4,5],[3,6,8],[7]]=>16
[4,6,8,1,7,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[4,8,6,1,7,5,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[5,6,7,1,8,3,2,4]=>[[1,2,3,5],[4,6,8],[7]]=>17
[5,6,7,1,3,8,2,4]=>[[1,2,3,6],[4,5,8],[7]]=>16
[5,6,7,1,3,2,8,4]=>[[1,2,3,7],[4,5,8],[6]]=>15
[5,6,7,3,1,2,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>14
[5,6,7,3,8,1,2,4]=>[[1,2,3,5],[4,7,8],[6]]=>16
[5,6,8,7,4,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[5,6,7,3,8,2,1,4]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[7,4,6,2,3,5,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[1,4,8,6,3,2,5,7]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[7,4,1,6,3,8,5,2]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[7,6,3,1,5,8,4,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[6,4,2,5,7,3,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[4,2,5,7,6,3,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[7,4,5,6,1,8,3,2]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[4,1,5,8,6,3,2,7]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[3,2,7,6,1,8,5,4]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[4,7,5,1,6,8,2,3]=>[[1,2,5,6],[3,7,8],[4]]=>13
[8,6,5,1,2,7,4,3]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[3,2,5,1,4,8,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>10
[8,5,4,1,3,2,7,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[1,4,2,3,6,8,7,5]=>[[1,2,4,5,6],[3,7],[8]]=>14
[5,4,8,3,7,1,6,2]=>[[1,3],[2,5],[4,7],[6,8]]=>15
[4,7,1,8,2,5,3,6]=>[[1,2,4,8],[3,5,6],[7]]=>14
[6,4,1,8,5,3,7,2]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[8,4,6,1,3,5,2,7]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[3,2,5,4,7,8,1,6]=>[[1,3,5,6],[2,4,8],[7]]=>10
[5,2,4,3,7,8,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[8,1,6,7,2,5,3,4]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[3,1,7,6,5,8,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[1,2,7,5,6,8,3,4]=>[[1,2,3,5,6],[4,8],[7]]=>14
[6,1,4,7,2,8,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>11
[3,2,1,7,6,8,4,5]=>[[1,4,6],[2,5,8],[3,7]]=>8
[3,2,8,6,4,7,1,5]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[7,8,4,6,3,2,1,5]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[1,8,6,5,3,7,2,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[8,2,5,3,6,7,1,4]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[3,8,5,2,7,6,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[4,7,5,3,1,8,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[4,5,3,6,8,1,7,2]=>[[1,2,4,5],[3,7],[6,8]]=>16
[3,5,2,6,1,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>15
[1,6,3,5,7,2,8,4]=>[[1,2,4,5,7],[3,8],[6]]=>12
[1,5,4,6,7,8,2,3]=>[[1,2,4,5,6],[3,8],[7]]=>13
[8,4,6,5,7,2,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[7,4,5,2,6,8,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[5,4,2,6,8,7,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[6,5,1,4,3,2,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[3,6,4,5,2,1,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[7,5,4,2,3,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[7,8,1,3,5,6,2,4]=>[[1,2,5,6],[3,4],[7,8]]=>16
[1,7,8,3,5,6,2,4]=>[[1,2,3,6],[4,5],[7,8]]=>18
[3,1,7,8,5,2,6,4]=>[[1,3,4],[2,5,7],[6,8]]=>16
[1,3,7,5,8,2,6,4]=>[[1,2,3,5],[4,7],[6,8]]=>17
[3,1,7,5,8,2,6,4]=>[[1,3,5],[2,4,7],[6,8]]=>14
[3,5,7,1,8,4,6,2]=>[[1,2,3,5],[4,6,7],[8]]=>18
[3,5,7,8,1,4,6,2]=>[[1,2,3,4],[5,6,7],[8]]=>19
[5,3,7,8,4,6,1,2]=>[[1,3,4],[2,5,6],[7,8]]=>17
[5,3,7,1,8,4,6,2]=>[[1,3,5],[2,6,7],[4,8]]=>12
[5,1,3,7,8,4,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>13
[3,6,2,1,4,5,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>9
[4,6,2,5,1,3,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>13
[6,4,2,5,1,3,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[8,6,1,7,3,2,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[2,5,8,1,7,3,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>14
[6,8,2,7,3,1,4,5]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[6,8,2,3,7,1,4,5]=>[[1,2,5,8],[3,4],[6,7]]=>14
[8,6,2,7,4,5,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[5,2,8,1,7,3,4,6]=>[[1,3,7,8],[2,5],[4,6]]=>7
[4,2,3,8,1,5,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>7
[5,2,8,3,7,1,4,6]=>[[1,3,5,8],[2,4],[6,7]]=>12
[5,2,8,4,6,1,3,7]=>[[1,3,5,8],[2,4],[6,7]]=>12
[2,1,5,8,4,3,6,7]=>[[1,3,4,8],[2,5,7],[6]]=>10
[5,8,3,2,7,1,4,6]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[4,1,3,8,2,5,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>7
[3,5,8,2,7,1,4,6]=>[[1,2,3],[4,5,8],[6,7]]=>19
[4,5,8,2,6,1,3,7]=>[[1,2,3,8],[4,5],[6,7]]=>16
[2,6,8,3,7,1,4,5]=>[[1,2,3,8],[4,5],[6,7]]=>16
[5,1,8,3,7,2,4,6]=>[[1,3,5,8],[2,4],[6,7]]=>12
[5,1,8,4,6,2,3,7]=>[[1,3,5,8],[2,4],[6,7]]=>12
[5,8,4,1,6,2,3,7]=>[[1,2,7,8],[3,5],[4,6]]=>10
[4,5,8,1,6,2,3,7]=>[[1,2,3,8],[4,5,7],[6]]=>14
[5,4,8,1,6,2,3,7]=>[[1,3,7,8],[2,5],[4,6]]=>7
[4,8,5,1,6,2,3,7]=>[[1,2,5,8],[3,6,7],[4]]=>11
[2,1,5,4,8,3,6,7]=>[[1,3,5,8],[2,4,7],[6]]=>8
[2,4,3,8,1,5,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>9
[3,1,8,4,2,5,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>6
[3,8,4,2,1,5,6,7]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[2,3,8,4,1,5,6,7]=>[[1,2,3,6,7,8],[4],[5]]=>7
[3,4,2,8,1,5,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>9
[3,8,5,2,7,1,4,6]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[4,8,5,2,6,1,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[2,1,4,8,5,3,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>8
[3,2,8,4,1,5,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>6
[2,8,4,3,1,5,6,7]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[4,1,7,5,6,2,8,3]=>[[1,3,5,7],[2,4,8],[6]]=>9
[5,7,4,3,8,1,6,2]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[5,7,4,3,8,2,6,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[3,8,4,2,6,7,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[3,8,4,1,6,7,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[6,1,7,5,2,8,4,3]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[5,6,4,3,2,8,1,7]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[2,6,7,5,3,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[6,7,4,8,2,5,3,1]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[2,1,6,7,5,3,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>11
[3,8,4,2,1,6,7,5]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[5,7,4,3,8,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[6,7,4,8,1,2,5,3]=>[[1,2,4],[3,6,7],[5,8]]=>17
[6,7,5,8,1,2,4,3]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[6,7,4,8,3,1,2,5]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[3,4,8,1,2,5,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>16
[6,1,3,4,8,2,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>9
[6,2,3,4,8,1,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>9
[3,4,8,2,1,5,7,6]=>[[1,2,3,7],[4,6],[5,8]]=>15
[6,7,5,8,2,4,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[6,7,5,8,3,1,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[3,4,8,1,5,7,6,2]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[2,5,7,6,1,4,8,3]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[6,7,4,8,2,3,5,1]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[6,7,4,8,1,3,5,2]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[2,6,7,5,1,3,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>14
[6,3,1,4,8,2,5,7]=>[[1,4,5,8],[2,6,7],[3]]=>7
[6,7,4,8,1,3,2,5]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[6,7,5,8,4,1,3,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[6,7,4,8,2,1,3,5]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[6,7,4,8,1,2,3,5]=>[[1,2,4,8],[3,6,7],[5]]=>12
[1,5,6,3,4,8,2,7]=>[[1,2,3,6],[4,5,8],[7]]=>16
[1,4,3,6,5,8,2,7]=>[[1,2,4,6],[3,5,8],[7]]=>15
[8,1,3,4,7,2,6,5]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[5,1,7,3,4,8,2,6]=>[[1,3,5,6],[2,4,8],[7]]=>10
[6,7,8,2,3,5,4,1]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[5,8,6,2,3,7,4,1]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[2,8,3,4,7,5,6,1]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[1,8,3,4,7,6,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[8,7,2,3,6,5,4,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21
[3,8,1,7,5,2,6,4]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[4,8,1,6,7,2,5,3]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[2,1,3,8,4,6,5,7]=>[[1,3,4,6,8],[2,5],[7]]=>9
[8,2,1,7,4,3,6,5]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[1,3,2,8,5,4,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>10
[8,3,1,5,7,2,6,4]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[8,4,5,1,7,2,6,3]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[1,5,6,8,7,4,2,3]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[8,4,5,7,6,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23
[1,4,8,5,7,6,2,3]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[2,4,8,5,7,3,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[4,3,8,6,5,7,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[6,7,2,8,5,3,4,1]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[5,2,7,8,6,3,4,1]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[4,2,8,6,7,3,5,1]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[3,2,8,7,5,4,6,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[3,1,8,7,5,6,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[4,1,8,6,7,5,2,3]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[5,1,7,8,6,4,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[6,7,1,8,5,4,2,3]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[7,8,3,2,6,1,4,5]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[3,4,8,2,6,1,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>17
[7,8,4,1,5,6,3,2]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[7,8,1,4,5,6,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[7,8,1,2,6,3,4,5]=>[[1,2,5,7,8],[3,4],[6]]=>9
[7,8,5,1,4,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[7,8,4,5,1,6,3,2]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[5,3,8,4,1,6,7,2]=>[[1,3,6,7],[2,4],[5,8]]=>12
[6,2,4,8,1,5,3,7]=>[[1,3,4,8],[2,6],[5,7]]=>10
[3,4,8,5,1,6,7,2]=>[[1,2,3,6,7],[4,8],[5]]=>12
[3,5,8,1,4,6,7,2]=>[[1,2,3,7],[4,5,6],[8]]=>16
[1,4,8,2,6,3,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>15
[5,3,8,1,4,6,7,2]=>[[1,3,6,7],[2,5],[4,8]]=>9
[4,2,6,8,1,5,3,7]=>[[1,3,4],[2,6,8],[5,7]]=>12
[7,4,2,8,1,5,3,6]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[6,1,7,5,8,4,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[6,2,1,8,4,5,3,7]=>[[1,4,6,8],[2,5],[3,7]]=>7
[1,2,7,8,5,3,4,6]=>[[1,2,3,4,8],[5,7],[6]]=>13
[6,3,7,8,5,4,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[6,1,5,7,8,4,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[1,7,5,6,8,4,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[3,1,8,4,5,6,7,2]=>[[1,3,5,6,7],[2,4],[8]]=>9
[2,1,4,8,6,5,3,7]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[2,4,1,8,6,5,3,7]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[4,2,1,8,6,5,3,7]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[3,2,7,8,5,1,4,6]=>[[1,3,4],[2,5,8],[6,7]]=>15
[2,3,7,8,5,1,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>17
[2,7,3,8,5,1,4,6]=>[[1,2,4,8],[3,5],[6,7]]=>15
[3,6,2,8,5,1,4,7]=>[[1,2,4],[3,5,8],[6,7]]=>18
[4,1,2,8,7,5,3,6]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[1,4,2,8,7,5,3,6]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[7,3,6,8,5,4,1,2]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[7,2,1,8,5,3,4,6]=>[[1,4,7,8],[2,5],[3,6]]=>6
[1,2,6,8,4,5,3,7]=>[[1,2,3,4,8],[5,6],[7]]=>14
[7,1,6,5,8,4,3,2]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22
[6,5,7,1,8,4,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[5,7,6,1,8,4,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[6,7,1,5,8,4,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[6,7,3,8,5,4,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[7,1,2,8,4,5,3,6]=>[[1,3,4,6,8],[2,5],[7]]=>9
[7,6,1,5,8,4,3,2]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21
[7,5,6,1,8,4,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[7,1,6,5,3,2,4,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>13
[1,8,7,5,3,2,4,6]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[1,8,7,4,2,5,3,6]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[8,7,4,2,5,3,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[7,1,6,4,2,5,3,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[2,6,5,4,7,1,3,8]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[7,1,5,3,6,4,2,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[5,3,7,1,6,4,2,8]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[5,3,6,4,2,7,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[1,5,3,8,7,4,2,6]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[7,4,2,8,6,3,5,1]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[5,3,6,1,8,7,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[6,1,5,3,8,7,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[2,8,7,5,4,6,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[2,3,1,8,7,5,4,6]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[5,3,8,7,4,2,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[7,4,2,1,8,6,3,5]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[8,6,3,5,7,4,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21
[1,8,6,3,5,7,4,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[6,3,8,5,2,1,7,4]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[8,6,3,7,4,2,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[2,8,6,4,7,5,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[5,1,8,6,3,7,4,2]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[6,3,7,4,1,8,5,2]=>[[1,3,6],[2,4,7],[5,8]]=>13
[8,5,2,6,3,7,4,1]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[6,1,8,7,4,2,5,3]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[8,6,3,7,4,2,5,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[1,8,6,3,2,4,7,5]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[8,6,3,2,4,7,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[7,5,1,8,6,3,2,4]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[6,1,8,7,5,3,2,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[4,3,2,8,7,6,1,5]=>[[1,4],[2,5],[3,6],[7,8]]=>18
[2,4,5,1,3,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>17
[7,5,8,6,3,2,4,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[1,7,5,8,6,3,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[1,7,4,2,5,8,6,3]=>[[1,2,5,6],[3,7],[4,8]]=>14
[8,6,3,1,7,4,2,5]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[8,7,4,2,5,3,1,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[5,3,1,8,7,4,2,6]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[4,1,8,7,5,3,2,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[2,8,6,4,1,3,7,5]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[4,1,8,6,3,2,7,5]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[7,4,2,8,6,3,1,5]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[6,3,1,8,5,2,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>7
[8,5,2,6,3,1,7,4]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[7,4,8,5,2,6,3,1]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[1,8,5,2,7,4,6,3]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[8,5,2,7,4,6,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[7,4,6,3,1,8,5,2]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[6,3,1,7,4,8,5,2]=>[[1,4,6],[2,5,7],[3,8]]=>9
[8,6,3,1,5,7,4,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[4,1,7,5,8,6,3,2]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[2,3,1,7,5,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>16
[7,4,8,5,2,1,6,3]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[8,5,2,1,7,4,6,3]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[1,7,4,6,3,8,5,2]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[4,1,8,5,7,3,2,6]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[2,1,5,7,8,4,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>13
[5,1,7,4,8,3,2,6]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[4,7,2,8,3,6,1,5]=>[[1,2,4],[3,5,6],[7,8]]=>20
[4,6,2,7,3,1,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>14
[1,3,2,7,6,5,10,9,8,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[1,4,3,6,5,2,10,9,8,7]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[1,4,3,7,6,2,10,9,8,5]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[1,5,4,7,6,3,10,9,8,2]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[1,4,3,8,7,2,10,9,6,5]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[1,5,4,8,7,3,10,9,6,2]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[2,3,1,6,5,4,10,9,8,7]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[2,3,1,7,6,5,10,9,8,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[2,4,1,6,5,3,10,9,8,7]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[2,4,1,7,6,3,10,9,8,5]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[2,5,1,7,6,4,10,9,8,3]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[2,4,1,8,7,3,10,9,6,5]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[2,5,1,8,7,4,10,9,6,3]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[3,4,2,6,5,1,10,9,8,7]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[3,4,2,7,6,1,10,9,8,5]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[3,5,2,7,6,1,10,9,8,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[4,5,3,7,6,2,10,9,8,1]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[3,4,2,8,7,1,10,9,6,5]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[3,5,2,8,7,1,10,9,6,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[4,5,3,8,7,2,10,9,6,1]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[2,5,1,6,4,3,10,9,8,7]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[2,5,1,7,4,3,10,9,8,6]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[2,6,1,7,5,4,10,9,8,3]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[2,5,1,8,4,3,10,9,7,6]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[2,6,1,8,5,4,10,9,7,3]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[3,5,2,6,4,1,10,9,8,7]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[3,5,2,7,4,1,10,9,8,6]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[3,6,2,7,5,1,10,9,8,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[4,6,3,7,5,2,10,9,8,1]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[3,5,2,8,4,1,10,9,7,6]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[3,6,2,8,5,1,10,9,7,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[4,6,3,8,5,2,10,9,7,1]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[3,7,2,8,6,1,10,9,5,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[4,7,3,8,6,2,10,9,5,1]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[2,5,1,9,4,3,10,8,7,6]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[2,6,1,9,5,4,10,8,7,3]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[3,5,2,9,4,1,10,8,7,6]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[3,6,2,9,5,1,10,8,7,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[4,6,3,9,5,2,10,8,7,1]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[3,7,2,9,6,1,10,8,5,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[6,2,8,4,1,7,3,5]=>[[1,3,6],[2,4,8],[5,7]]=>12
[6,3,4,8,1,7,2,5]=>[[1,3,4],[2,6,8],[5,7]]=>12
[1,8,5,4,2,3,7,6]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[3,5,4,8,1,2,7,6]=>[[1,2,4],[3,6,7],[5,8]]=>17
[5,6,3,8,7,1,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>18
[2,6,8,4,1,7,3,5]=>[[1,2,3],[4,6,8],[5,7]]=>17
[1,8,7,4,2,6,3,5]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[6,3,5,8,7,1,2,4]=>[[1,3,4],[2,5,8],[6,7]]=>15
[5,2,8,6,7,1,3,4]=>[[1,3,5],[2,4,8],[6,7]]=>13
[6,2,8,7,5,1,3,4]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[1,8,5,7,6,2,3,4]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[3,6,7,8,5,1,2,4]=>[[1,2,3,4],[5,7,8],[6]]=>17
[1,8,6,7,5,2,3,4]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[5,7,6,4,8,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[6,3,8,7,5,1,2,4]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[2,8,7,4,1,3,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[5,4,8,7,1,3,2,6]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[4,8,6,1,3,2,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[5,4,2,7,6,8,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[2,8,7,1,4,5,3,6]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[4,2,1,8,7,3,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>6
[5,1,6,3,2,8,7,4]=>[[1,3,6],[2,4,7],[5,8]]=>13
[4,6,1,8,7,3,2,5]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[8,7,2,3,5,4,1,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[5,3,1,4,8,7,2,6]=>[[1,4,5],[2,6,8],[3,7]]=>10
[4,3,5,2,8,7,1,6]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[3,4,2,8,6,1,5,7]=>[[1,2,4,8],[3,5],[6,7]]=>15
[3,7,6,8,1,5,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[8,1,4,2,3,6,7,5]=>[[1,3,5,6,7],[2,8],[4]]=>8
[3,7,2,1,8,6,4,5]=>[[1,2,5],[3,6,8],[4,7]]=>15
[2,8,6,1,7,3,5,4]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[1,7,6,3,5,8,2,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[3,7,5,1,6,8,2,4]=>[[1,2,5,6],[3,7,8],[4]]=>13
[3,6,5,8,1,4,7,2]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[8,1,5,6,4,7,2,3]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[3,6,7,4,1,8,2,5]=>[[1,2,3,6],[4,7,8],[5]]=>15
[1,7,4,6,8,2,5,3]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[7,5,8,2,6,3,1,4]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[2,7,1,6,5,4,8,3]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[7,3,2,6,1,8,5,4]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[6,4,7,2,3,1,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[5,3,1,8,4,6,2,7]=>[[1,4,6,8],[2,5],[3,7]]=>7
[3,8,1,6,7,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[2,7,4,3,6,8,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[2,8,4,6,1,5,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[8,4,1,6,3,2,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[4,7,3,8,5,2,1,6]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[3,1,7,4,8,5,2,6]=>[[1,3,5,8],[2,4,6],[7]]=>9
[7,4,1,6,3,2,8,5]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[3,8,6,2,7,4,1,5]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[7,3,1,4,5,2,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>8
[6,1,4,8,5,3,2,7]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[8,1,2,4,6,7,5,3]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[8,1,3,6,7,5,4,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[7,5,2,3,8,6,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[8,6,2,4,1,3,7,5]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[4,7,5,1,8,6,3,2]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[4,7,3,2,8,5,6,1]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[8,4,5,7,6,1,3,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[7,5,8,4,2,3,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[3,8,4,6,1,7,5,2]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[3,7,4,6,5,2,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>18
[4,2,7,6,1,5,8,3]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[8,3,1,4,5,7,6,2]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[3,5,1,6,8,4,7,2]=>[[1,2,4,5],[3,6,7],[8]]=>17
[6,1,5,7,3,8,4,2]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[5,8,4,7,3,2,6,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>24
[7,2,6,5,8,4,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[8,3,2,5,1,6,7,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[2,6,8,3,7,4,1,5]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[8,1,5,6,4,7,3,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[2,5,8,1,6,4,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[7,4,1,8,3,2,6,5]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[8,3,7,4,2,1,6,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[5,2,6,8,3,1,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>16
[3,6,5,8,4,1,7,2]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[7,3,6,1,8,4,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[8,2,7,3,4,6,5,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>17
[7,3,8,2,5,6,4,1]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[5,7,3,1,6,4,8,2]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[6,1,3,2,4,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>11
[8,7,4,2,3,6,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[8,7,1,5,4,2,3,6]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[3,7,1,5,2,8,6,4]=>[[1,2,6],[3,4,7],[5,8]]=>15
[8,7,2,5,4,1,3,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[8,7,2,5,3,1,4,6]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[5,2,8,7,1,4,3,6]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[7,1,8,6,2,4,3,5]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[8,1,6,2,7,5,3,4]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[7,1,6,2,8,5,3,4]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[6,3,4,1,7,2,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>9
[7,2,4,3,5,1,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[5,1,7,2,3,8,6,4]=>[[1,3,5,6],[2,4,7],[8]]=>11
[8,2,3,5,1,7,6,4]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[7,6,3,1,4,8,2,5]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[6,1,8,2,7,5,3,4]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[7,2,8,1,6,5,3,4]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[7,2,6,4,3,8,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[5,1,7,4,3,8,2,6]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[5,3,1,7,4,8,2,6]=>[[1,4,6],[2,5,8],[3,7]]=>8
[7,4,8,2,1,5,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[8,2,4,1,6,3,7,5]=>[[1,3,5,7],[2,6,8],[4]]=>9
[8,2,7,5,1,6,4,3]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[6,1,7,3,2,8,5,4]=>[[1,3,6],[2,4,7],[5,8]]=>13
[4,7,2,1,6,3,8,5]=>[[1,2,7],[3,5,8],[4,6]]=>11
[6,2,1,5,3,8,4,7]=>[[1,4,6,8],[2,5,7],[3]]=>5
[5,3,1,6,2,8,4,7]=>[[1,4,6,8],[2,5,7],[3]]=>5
[6,1,5,2,8,4,3,7]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[7,4,3,8,1,5,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[7,4,8,1,5,3,2,6]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[6,1,5,3,2,8,4,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[6,3,2,8,4,1,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[7,3,4,2,8,5,1,6]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[7,1,6,3,4,2,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,5,1,3,7,4,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[3,8,6,1,5,2,7,4]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[8,6,1,3,7,5,2,4]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[4,8,5,6,1,7,3,2]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[6,7,1,3,8,5,2,4]=>[[1,2,5],[3,4,6],[7,8]]=>17
[3,6,7,1,5,2,8,4]=>[[1,2,3,7],[4,5,8],[6]]=>15
[7,1,3,8,4,2,6,5]=>[[1,3,4,7],[2,5],[6,8]]=>14
[5,6,2,7,1,3,8,4]=>[[1,2,4,7],[3,6,8],[5]]=>13
[5,6,2,8,1,3,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>17
[6,1,8,3,7,5,2,4]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[7,4,2,1,5,8,3,6]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[7,4,1,5,8,3,2,6]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[7,3,2,6,4,8,1,5]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[6,4,2,7,3,8,1,5]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[5,1,8,3,7,4,2,6]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[7,4,8,3,1,5,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[5,2,1,7,4,8,3,6]=>[[1,4,6],[2,5,8],[3,7]]=>8
[6,1,8,4,5,2,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>13
[7,1,6,4,5,2,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[3,5,2,7,1,6,8,4]=>[[1,2,4,7],[3,6],[5,8]]=>14
[4,5,7,3,1,6,8,2]=>[[1,2,3,7],[4,6],[5,8]]=>15
[4,5,7,2,8,6,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>19
[3,5,1,7,2,6,8,4]=>[[1,2,4,7],[3,5,6],[8]]=>15
[4,5,7,2,8,1,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>16
[4,6,7,2,1,5,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>15
[4,6,7,1,3,8,5,2]=>[[1,2,3,6],[4,5,7],[8]]=>17
[3,6,1,5,7,8,4,2]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[4,6,7,1,5,8,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[6,1,3,7,4,8,5,2]=>[[1,3,4,6],[2,5,7],[8]]=>13
[3,2,1,7,4,8,5,6]=>[[1,4,6,8],[2,5,7],[3]]=>5
[4,1,5,2,7,6,3,8]=>[[1,3,5,8],[2,4,6],[7]]=>9
[2,5,1,3,7,6,4,8]=>[[1,2,5,8],[3,4,6],[7]]=>11
[2,5,1,4,3,8,6,7]=>[[1,2,6,8],[3,4,7],[5]]=>9
[3,7,2,1,5,8,6,4]=>[[1,2,6],[3,5,7],[4,8]]=>13
[6,2,7,1,4,8,5,3]=>[[1,3,6],[2,5,7],[4,8]]=>10
[3,7,4,2,1,8,5,6]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[7,2,5,3,1,8,6,4]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[7,5,1,4,2,8,6,3]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[7,5,4,1,3,8,6,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[5,3,2,1,7,6,4,8]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[6,3,2,8,1,5,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[7,4,3,2,8,1,6,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>14
[7,6,2,4,8,3,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[7,3,6,4,8,1,5,2]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[2,7,5,3,8,1,4,6]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[1,8,5,3,6,4,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[8,6,2,3,7,5,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[8,6,3,2,7,5,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[8,3,2,7,1,6,4,5]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[7,2,6,1,5,4,3,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[8,5,7,4,3,6,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>22
[8,5,7,2,4,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[8,4,6,7,1,3,2,5]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[2,8,5,6,1,4,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[7,2,6,8,4,1,5,3]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[7,6,4,8,3,2,5,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>20
[6,5,8,1,4,2,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[6,5,8,4,1,3,7,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[5,4,8,3,2,1,7,6]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[4,3,7,2,1,6,5,8]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[2,5,8,1,4,3,7,6]=>[[1,2,3],[4,5,7],[6,8]]=>20
[3,6,8,2,1,5,7,4]=>[[1,2,3],[4,6,7],[5,8]]=>18
[5,7,4,8,1,3,6,2]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[5,7,1,4,8,2,6,3]=>[[1,2,5],[3,4,7],[6,8]]=>16
[2,7,4,1,8,3,6,5]=>[[1,2,5],[3,6,7],[4,8]]=>16
[3,5,1,8,4,2,7,6]=>[[1,2,4],[3,5,7],[6,8]]=>19
[4,1,5,7,3,6,2,8]=>[[1,3,4,8],[2,5,6],[7]]=>11
[4,2,5,8,3,1,7,6]=>[[1,3,4],[2,5,7],[6,8]]=>16
[6,1,2,7,8,3,5,4]=>[[1,3,4,5],[2,6,7],[8]]=>14
[5,3,1,8,6,4,2,7]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[3,1,8,4,7,5,2,6]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[4,2,8,7,3,5,1,6]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[4,8,1,7,6,2,3,5]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[6,8,1,4,7,5,2,3]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[7,3,8,1,6,4,2,5]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[4,7,8,1,5,3,2,6]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[7,1,8,6,2,5,3,4]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[5,8,7,1,3,6,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[3,8,7,2,1,6,4,5]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[2,8,7,1,6,3,5,4]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[3,7,6,1,5,4,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[4,8,7,6,1,3,5,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[5,8,7,2,6,1,4,3]=>[[1,2],[3,5],[4,7],[6],[8]]=>22
[6,8,1,7,5,2,4,3]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[7,3,8,6,5,1,2,4]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[5,7,8,4,3,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[5,8,6,4,3,2,1,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>20
[8,7,3,6,4,2,1,5]=>[[1,4,8],[2],[3],[5],[6],[7]]=>18
[6,1,4,2,5,3,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>6
[1,3,7,5,4,2,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[6,1,3,5,4,2,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[6,1,2,5,4,7,3,8]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[5,1,6,3,4,7,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>9
[5,2,6,3,4,7,1,8]=>[[1,3,5,6,8],[2,4],[7]]=>8
[3,4,7,5,8,6,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>19
[2,4,7,1,5,3,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>15
[2,3,6,7,4,8,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>15
[1,3,6,7,4,8,5,2]=>[[1,2,3,4,6],[5,7],[8]]=>16
[2,7,6,5,3,1,8,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[5,2,6,1,4,7,8,3]=>[[1,3,6,7],[2,5],[4,8]]=>9
[4,7,6,5,2,1,8,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[5,3,6,2,4,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[5,7,4,2,1,3,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[6,3,1,5,4,7,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[5,3,6,1,4,2,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>7
[1,7,4,2,6,3,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>12
[5,7,4,1,2,3,6,8]=>[[1,2,6,7,8],[3,5],[4]]=>7
[6,4,1,2,5,3,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>5
[4,7,6,3,8,5,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[3,7,6,5,2,8,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[3,7,6,5,1,2,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[4,7,2,6,1,3,8,5]=>[[1,2,7],[3,4,8],[5,6]]=>13
[2,7,1,6,8,3,5,4]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[2,7,6,5,8,1,4,3]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[9,1,2,3,4,5,6,8,7]=>[[1,3,4,5,6,7,8],[2],[9]]=>9
[9,1,2,3,4,5,7,8,6]=>[[1,3,4,5,6,7,8],[2],[9]]=>9
[2,3,4,5,6,9,7,8,1]=>[[1,2,3,4,5,6,8],[7],[9]]=>14
[2,3,4,5,6,7,8,10,9,1]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>17
[3,2,10,9,8,7,6,5,4,1]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>41
[3,9,2,8,7,6,5,4,1]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>34
[4,2,9,8,7,6,5,3,1]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>32
[5,2,8,7,6,4,3,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>24
[8,2,7,6,1,5,4,3]=>[[1,3],[2,6],[4],[5],[7],[8]]=>22
[8,4,1,7,6,5,3,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>22
[4,5,6,2,3,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>16
[4,5,3,2,7,8,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[6,5,7,3,8,4,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[6,8,7,2,4,3,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[3,2,7,4,5,8,1,6]=>[[1,3,5,6],[2,4,8],[7]]=>10
[6,8,1,5,2,4,3,7]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[8,3,4,6,1,5,2,7]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[2,3,4,7,5,8,1,6]=>[[1,2,3,4,6],[5,8],[7]]=>15
[6,3,4,7,8,2,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[5,3,7,4,8,6,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>15
[8,3,6,4,1,7,2,5]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[1,3,7,4,8,6,2,5]=>[[1,2,3,5],[4,6],[7,8]]=>19
[3,7,8,5,4,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[5,4,3,1,7,8,2,6]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[5,7,6,2,8,4,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[6,1,7,5,8,3,4,2]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[7,5,6,4,1,3,8,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[1,5,6,8,4,7,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[4,1,3,7,6,5,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[3,4,1,7,5,8,6,2]=>[[1,2,4,6],[3,5,7],[8]]=>16
[8,5,7,4,3,1,6,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[6,8,5,1,7,2,4,3]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[8,2,4,1,3,7,6,5]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[7,8,3,6,2,1,4,5]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[8,1,7,4,2,3,6,5]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[1,8,7,2,3,5,6,4]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[2,8,3,1,6,7,5,4]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[8,2,3,1,5,7,6,4]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[3,8,4,1,2,7,6,5]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[5,4,7,2,3,6,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[6,3,2,1,8,4,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[2,3,7,4,1,8,5,6]=>[[1,2,3,6,8],[4,7],[5]]=>11
[6,4,1,3,2,7,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[2,7,8,5,1,3,6,4]=>[[1,2,3],[4,6,7],[5,8]]=>18
[8,2,5,6,7,1,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>12
[2,8,5,4,7,6,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[6,7,1,5,8,2,4,3]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[4,8,7,6,2,3,5,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[7,8,1,5,3,2,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[6,5,7,3,8,2,1,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[8,1,4,7,2,5,6,3]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[7,3,4,6,1,5,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[8,3,4,5,7,1,6,2]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[4,2,6,8,3,1,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>10
[3,7,6,2,4,5,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[2,3,6,5,8,1,4,7]=>[[1,2,3,5],[4,7,8],[6]]=>16
[2,3,5,8,6,1,4,7]=>[[1,2,3,4,8],[5,7],[6]]=>13
[4,2,3,8,6,1,5,7]=>[[1,3,4,8],[2,5],[6,7]]=>13
[6,4,1,2,8,3,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>5
[1,2,3,7,4,6,8,5]=>[[1,2,3,4,6,7],[5],[8]]=>11
[3,2,7,1,4,5,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>7
[2,1,5,3,8,7,4,6]=>[[1,3,5,8],[2,4,6],[7]]=>9
[5,8,3,2,4,1,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[4,2,7,1,8,3,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>8
[4,1,8,2,7,3,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>7
[1,2,7,5,3,8,4,6]=>[[1,2,3,6,8],[4,7],[5]]=>11
[3,2,7,1,4,8,5,6]=>[[1,3,6,8],[2,5,7],[4]]=>6
[1,2,3,7,6,8,4,5]=>[[1,2,3,4,6],[5,8],[7]]=>15
[1,2,3,6,8,7,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>16
[1,2,3,7,8,4,6,5]=>[[1,2,3,4,5],[6,7],[8]]=>17
[1,2,3,6,8,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>17
[1,2,3,7,8,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>16
[6,2,8,3,7,5,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[4,2,8,3,7,5,6,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[7,3,4,8,6,5,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[5,3,4,8,7,2,6,1]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[4,3,5,8,7,2,6,1]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[4,6,3,8,5,7,2,1]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[7,5,3,8,6,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[2,6,8,3,7,4,5,1]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[1,8,4,3,7,5,6,2]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[2,5,8,3,7,4,6,1]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[7,4,3,8,6,2,5,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[3,5,4,8,7,2,6,1]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[4,5,3,8,6,7,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[3,6,7,8,4,5,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[2,6,8,5,4,7,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[1,8,5,6,4,7,3,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>19
[2,5,8,6,4,7,3,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>20
[7,4,6,5,8,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22
[6,3,7,8,4,5,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[4,3,7,8,5,6,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[5,2,8,6,4,7,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[4,2,8,6,5,7,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[3,2,8,6,7,4,5,1]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[2,3,8,7,5,4,6,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>19
[1,8,2,7,4,5,6,3]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[7,2,8,6,3,4,5,1]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[6,2,8,4,5,7,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[5,2,8,4,6,7,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[4,2,8,5,6,7,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[4,3,6,8,5,7,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[3,4,6,8,7,2,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[7,3,5,8,6,2,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[1,8,3,5,7,4,6,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[2,7,8,4,5,6,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[3,7,5,8,4,6,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[5,7,4,6,8,3,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[3,6,5,8,4,7,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[2,6,8,4,5,7,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[4,2,7,1,3,8,5,6]=>[[1,3,6,8],[2,5,7],[4]]=>6
[4,2,5,1,3,8,6,7]=>[[1,3,6,8],[2,5,7],[4]]=>6
[5,3,6,1,7,2,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>8
[3,7,1,2,5,8,6,4]=>[[1,2,5,6],[3,4,7],[8]]=>13
[3,7,4,1,2,8,5,6]=>[[1,2,6,8],[3,5,7],[4]]=>8
[7,5,1,3,4,8,6,2]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[7,5,1,2,4,8,6,3]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[6,4,2,3,7,1,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[7,6,3,8,1,2,5,4]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[7,4,2,3,8,1,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[4,7,5,2,8,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[8,2,6,3,7,1,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[8,6,1,2,7,4,5,3]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[8,4,7,1,2,3,6,5]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[8,5,7,1,2,4,6,3]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[8,5,7,1,3,4,6,2]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[8,6,2,7,1,3,5,4]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[3,8,5,6,1,2,4,7]=>[[1,2,4,8],[3,6,7],[5]]=>12
[3,7,5,8,1,2,4,6]=>[[1,2,4,8],[3,6,7],[5]]=>12
[7,6,4,8,1,3,5,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[6,5,8,1,2,4,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[3,6,8,1,2,5,7,4]=>[[1,2,3,7],[4,5,6],[8]]=>16
[3,7,2,4,8,1,6,5]=>[[1,2,5],[3,4,7],[6,8]]=>16
[4,6,3,8,1,2,5,7]=>[[1,2,4,8],[3,6,7],[5]]=>12
[4,6,3,7,1,2,5,8]=>[[1,2,4,8],[3,6,7],[5]]=>12
[4,1,7,8,2,3,6,5]=>[[1,3,4,7],[2,5,6],[8]]=>12
[5,1,2,8,6,3,4,7]=>[[1,3,4,7,8],[2,5],[6]]=>8
[5,3,8,1,6,2,4,7]=>[[1,3,7,8],[2,5],[4,6]]=>7
[6,1,8,5,2,3,4,7]=>[[1,3,6,7,8],[2,4],[5]]=>6
[6,1,7,5,2,3,4,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[6,8,1,3,7,4,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[7,2,8,1,6,3,4,5]=>[[1,3,7,8],[2,5],[4,6]]=>7
[4,7,8,2,5,1,3,6]=>[[1,2,3],[4,5,8],[6,7]]=>19
[6,8,2,7,1,4,5,3]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[4,8,7,1,3,5,6,2]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[3,8,7,1,2,4,6,5]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[4,8,7,1,2,3,6,5]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[5,8,7,1,2,4,6,3]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[5,8,7,1,3,4,6,2]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[7,1,8,6,2,3,5,4]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[5,8,6,4,1,2,3,7]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[7,8,4,1,2,5,3,6]=>[[1,2,6,8],[3,5],[4,7]]=>11
[7,8,1,2,6,5,3,4]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[1,4,8,2,7,5,3,6]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[6,1,3,4,7,2,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>9
[7,8,2,1,6,3,5,4]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[6,1,2,7,5,4,3,8]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[1,2,8,7,5,4,3,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[5,1,7,3,6,4,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[6,2,1,5,7,4,3,8]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[6,2,3,7,4,1,5,8]=>[[1,3,4,7,8],[2,5],[6]]=>8
[3,4,8,7,5,6,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[2,3,8,7,4,1,5,6]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[2,7,3,8,6,4,1,5]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[1,8,3,7,6,4,5,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>18
[5,2,7,1,4,6,8,3]=>[[1,3,6,7],[2,5],[4,8]]=>9
[4,6,7,5,2,1,8,3]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[6,3,1,4,5,7,8,2]=>[[1,4,5,6,7],[2,8],[3]]=>7
[5,3,1,4,6,2,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>5
[5,1,2,4,7,6,8,3]=>[[1,3,4,5,7],[2,6],[8]]=>11
[5,7,4,1,2,6,3,8]=>[[1,2,6,8],[3,5],[4,7]]=>11
[4,8,1,2,6,7,3,5]=>[[1,2,5,6],[3,4,8],[7]]=>12
[4,1,7,8,2,6,3,5]=>[[1,3,4,8],[2,5,6],[7]]=>11
[1,2,8,7,6,5,3,4]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[3,1,2,4,6,8,7,5]=>[[1,3,4,5,6],[2,7],[8]]=>12
[3,1,8,4,5,7,6,2]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[3,2,8,5,4,7,1,6]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[4,2,8,1,5,3,7,6]=>[[1,3,7],[2,5,8],[4,6]]=>8
[4,3,8,5,7,6,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[4,8,2,1,6,3,7,5]=>[[1,2,7],[3,5,8],[4,6]]=>11
[3,8,6,5,2,7,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[3,8,5,6,1,7,4,2]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[3,5,7,8,1,2,6,4]=>[[1,2,3,4],[5,6,7],[8]]=>19
[3,7,8,5,2,1,6,4]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[3,7,2,8,4,1,6,5]=>[[1,2,4],[3,5,7],[6,8]]=>19
[2,8,1,7,4,6,5,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[2,8,7,5,1,6,4,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[2,8,6,7,5,1,4,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[5,1,3,4,6,7,2,8]=>[[1,3,4,5,6,8],[2],[7]]=>7
[1,3,4,8,7,5,2,6]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[8,2,4,1,7,3,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>8
[8,6,1,4,2,3,7,5]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[3,6,1,4,2,8,7,5]=>[[1,2,6],[3,4,7],[5,8]]=>15
[1,6,8,4,3,7,2,5]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[3,1,4,7,8,5,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>13
[6,1,7,4,3,8,2,5]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[1,8,7,4,3,6,2,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[7,4,1,3,8,2,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[4,8,2,3,1,5,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>14
[4,8,6,2,1,3,7,5]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[2,7,4,1,8,3,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>11
[1,7,8,4,2,3,6,5]=>[[1,2,3,7],[4,6],[5,8]]=>15
[4,7,1,3,8,2,6,5]=>[[1,2,5],[3,4,7],[6,8]]=>16
[8,7,1,3,4,2,6,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[1,7,4,3,6,2,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[3,8,6,4,5,2,1,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>16
[3,8,4,6,5,2,1,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[2,4,3,7,5,8,1,6]=>[[1,2,4,6],[3,5,8],[7]]=>15
[1,4,7,3,6,2,8,5]=>[[1,2,3,7],[4,5],[6,8]]=>17
[1,8,3,4,2,6,7,5]=>[[1,2,4,6,7],[3,8],[5]]=>11
[6,4,1,3,7,2,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[8,1,4,3,6,2,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[4,2,3,8,5,7,1,6]=>[[1,3,4,6],[2,5],[7,8]]=>15
[2,8,5,7,3,4,1,6]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[5,8,2,6,4,3,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[7,2,5,8,4,3,1,6]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[4,2,3,5,8,7,1,6]=>[[1,3,4,5],[2,6],[7,8]]=>16
[8,2,3,5,4,7,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[6,1,8,3,4,2,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>13
[1,8,6,4,2,3,7,5]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[3,8,4,5,6,2,1,7]=>[[1,2,4,5,8],[3],[6],[7]]=>13
[2,4,3,5,7,8,1,6]=>[[1,2,4,5,6],[3,8],[7]]=>13
[3,8,6,5,4,2,1,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>20
[6,3,1,4,2,8,7,5]=>[[1,4,6],[2,5,7],[3,8]]=>9
[7,3,8,1,2,6,4,5]=>[[1,3,6,8],[2,5],[4,7]]=>8
[7,1,4,5,3,2,6,8]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[1,8,4,2,6,5,3,7]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[5,1,4,8,6,3,2,7]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[5,3,1,8,4,7,2,6]=>[[1,4,6],[2,5,8],[3,7]]=>8
[4,3,8,1,5,7,2,6]=>[[1,3,6],[2,5,8],[4,7]]=>9
[6,3,1,2,5,7,4,8]=>[[1,4,5,6,8],[2,7],[3]]=>6
[7,1,4,2,6,5,3,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[3,8,4,1,6,5,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[7,3,6,4,5,8,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>17
[8,7,2,4,5,1,6,3]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[7,1,5,4,8,6,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[2,1,8,7,5,3,6,4]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[5,8,3,7,4,1,6,2]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[5,7,1,4,8,6,3,2]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[3,5,7,4,8,6,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[5,3,7,4,8,6,2,1]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[7,5,8,4,1,6,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>18
[2,7,8,4,5,1,6,3]=>[[1,2,3,7],[4,5],[6,8]]=>17
[5,7,3,8,4,1,6,2]=>[[1,2,4],[3,5,7],[6,8]]=>19
[5,6,3,8,1,4,7,2]=>[[1,2,4],[3,6,7],[5,8]]=>17
[3,7,8,4,1,6,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[8,7,3,1,5,4,2,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[3,6,2,1,5,4,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>11
[5,4,2,6,1,3,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[3,2,6,5,1,4,8,7]=>[[1,3,7],[2,4,8],[5,6]]=>11
[2,5,8,1,7,4,3,6]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[6,8,2,7,4,3,1,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[6,8,2,3,7,5,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[7,6,2,5,4,8,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[2,6,5,1,8,4,3,7]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[4,2,7,3,1,8,5,6]=>[[1,3,6,8],[2,4,7],[5]]=>7
[4,2,3,7,1,5,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>10
[5,2,7,3,8,6,1,4]=>[[1,3,5],[2,4,6],[7,8]]=>15
[2,1,5,8,4,3,7,6]=>[[1,3,4],[2,5,7],[6,8]]=>16
[5,8,4,2,6,7,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[3,2,4,8,1,5,7,6]=>[[1,3,4,7],[2,6],[5,8]]=>11
[2,4,8,3,1,7,5,6]=>[[1,2,3,8],[4,6],[5,7]]=>14
[4,8,3,2,1,7,6,5]=>[[1,2],[3,6],[4,7],[5,8]]=>18
[4,1,3,7,2,6,8,5]=>[[1,3,4,7],[2,6],[5,8]]=>11
[3,4,8,2,1,6,5,7]=>[[1,2,3,8],[4,6],[5,7]]=>14
[6,8,3,7,2,1,5,4]=>[[1,2],[3,4],[5,7],[6,8]]=>22
[3,5,8,1,7,2,6,4]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[5,1,7,4,6,8,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[7,6,4,8,1,5,3,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[5,3,7,1,8,2,6,4]=>[[1,3,5],[2,6,7],[4,8]]=>12
[2,7,6,3,8,1,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[2,1,7,6,4,8,3,5]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[2,1,5,4,8,7,3,6]=>[[1,3,5],[2,4,6],[7,8]]=>15
[5,4,8,7,2,6,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>22
[2,4,3,8,7,1,5,6]=>[[1,2,4,8],[3,5],[6,7]]=>15
[3,4,1,8,6,2,7,5]=>[[1,2,4,7],[3,5,8],[6]]=>14
[3,8,5,4,2,1,7,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[4,8,6,5,2,7,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[3,2,8,7,5,4,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[2,8,6,5,4,3,1,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>20
[5,4,2,6,3,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[7,3,6,5,2,8,4,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[7,6,2,3,4,8,5,1]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[8,7,5,3,1,4,2,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[7,1,5,3,8,4,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[3,7,6,4,2,8,5,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[2,1,8,7,4,3,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[3,8,7,4,2,1,5,6]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[8,5,2,6,1,7,3,4]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[5,4,2,6,8,3,7,1]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[6,5,2,8,1,4,3,7]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[2,7,8,4,5,1,3,6]=>[[1,2,3,8],[4,5],[6,7]]=>16
[3,4,8,1,5,2,7,6]=>[[1,2,3,7],[4,5,8],[6]]=>15
[4,8,1,2,5,3,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>9
[8,1,2,4,3,5,6,7]=>[[1,3,4,6,7,8],[2],[5]]=>5
[2,3,5,6,4,7,8,9,1]=>[[1,2,3,4,6,7,8],[5],[9]]=>12
[2,3,6,4,5,7,8,9,1]=>[[1,2,3,5,6,7,8],[4],[9]]=>11
[9,1,2,4,5,3,6,7,8]=>[[1,3,4,5,7,8,9],[2],[6]]=>6
[5,8,7,4,6,3,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>25
[4,8,7,6,3,5,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>24
[3,8,7,6,5,2,4,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>23
[7,9,6,8,5,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8],[9]]=>34
[5,8,4,7,6,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>26
[6,8,5,4,7,3,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>25
[3,8,7,6,2,5,4,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>24
[4,8,7,6,3,2,5,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>23
[3,8,7,6,5,2,1,4]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[8,6,9,4,7,3,5,1,2]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>22
[8,6,9,5,7,3,4,1,2]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>22
[8,7,9,5,6,3,4,1,2]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>22
[9,7,10,8,5,6,3,4,1,2]=>[[1,3],[2,4],[5,6],[7,8],[9,10]]=>38
[9,7,10,5,8,6,3,4,1,2]=>[[1,3],[2,5],[4,6],[7,8],[9,10]]=>35
[9,7,10,5,8,3,6,4,1,2]=>[[1,3],[2,5],[4,7],[6,8],[9,10]]=>31
[7,5,8,4,6,3,1,2]=>[[1,3],[2,5],[4,8],[6],[7]]=>18
[8,6,9,5,7,2,4,1,3]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>22
[7,6,8,2,5,1,4,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>19
[8,7,9,4,6,3,5,1,2]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>22
[9,6,8,5,7,3,4,1,2]=>[[1,3],[2,5],[4,7],[6,9],[8]]=>22
[3,5,2,4,7,6,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>11
[3,5,4,7,2,6,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[3,5,4,7,6,1,2,8]=>[[1,2,4,8],[3,5],[6,7]]=>15
[3,5,4,7,6,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>16
[3,5,7,4,6,1,8,2]=>[[1,2,3,7],[4,5],[6,8]]=>17
[3,5,7,4,6,1,2,8]=>[[1,2,3,8],[4,5],[6,7]]=>16
[3,5,7,4,6,2,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[3,2,5,7,4,6,1,8]=>[[1,3,4,8],[2,5,6],[7]]=>11
[3,5,2,7,6,4,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[3,5,7,2,6,4,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[5,3,7,6,2,4,1,8]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[5,3,7,6,1,2,8,4]=>[[1,3,7],[2,4,8],[5,6]]=>11
[5,3,7,6,1,4,2,8]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[5,3,7,6,4,1,2,8]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[3,5,7,2,6,1,4,8]=>[[1,2,3,8],[4,5],[6,7]]=>16
[3,5,2,7,6,1,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>15
[5,3,7,6,4,1,8,2]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[3,7,5,4,1,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[3,7,5,4,1,8,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[3,7,5,1,4,8,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[3,7,5,1,4,8,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[3,5,7,1,2,6,8,4]=>[[1,2,3,7],[4,5,6],[8]]=>16
[3,5,7,2,1,6,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>15
[3,5,2,7,1,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>13
[3,5,7,2,1,6,4,8]=>[[1,2,3,8],[4,6],[5,7]]=>14
[5,3,7,1,6,2,4,8]=>[[1,3,7,8],[2,5],[4,6]]=>7
[3,5,7,1,4,6,8,2]=>[[1,2,3,7],[4,5,6],[8]]=>16
[3,5,7,1,4,6,2,8]=>[[1,2,3,8],[4,5,6],[7]]=>15
[3,5,7,1,4,2,6,8]=>[[1,2,3,8],[4,5,7],[6]]=>14
[3,5,7,2,1,4,6,8]=>[[1,2,3,8],[4,6,7],[5]]=>13
[3,5,2,7,1,4,6,8]=>[[1,2,4,8],[3,6,7],[5]]=>12
[3,2,5,7,4,1,6,8]=>[[1,3,4,8],[2,5,7],[6]]=>10
[3,5,2,7,4,1,6,8]=>[[1,2,4,8],[3,5,7],[6]]=>13
[3,5,7,4,2,1,6,8]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[3,5,7,4,1,2,6,8]=>[[1,2,3,8],[4,6,7],[5]]=>13
[3,5,4,7,1,6,8,2]=>[[1,2,4,7],[3,6],[5,8]]=>14
[3,5,4,7,1,2,6,8]=>[[1,2,4,8],[3,6,7],[5]]=>12
[3,5,4,7,2,1,6,8]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[3,5,4,2,7,1,6,8]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[3,2,5,4,7,1,6,8]=>[[1,3,5,8],[2,4,7],[6]]=>8
[3,5,4,7,2,1,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[3,5,4,7,1,2,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>13
[5,7,6,3,1,8,4,2]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[5,7,6,3,1,8,2,4]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[3,5,7,4,1,2,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>14
[3,5,7,4,2,1,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[3,2,5,7,4,1,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>11
[3,2,5,7,1,4,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>10
[3,5,2,7,1,4,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>13
[3,5,7,2,1,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>14
[3,5,7,1,4,2,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>15
[3,7,5,2,1,8,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[3,7,2,5,1,8,6,4]=>[[1,2,6],[3,4,7],[5,8]]=>15
[3,2,7,5,1,8,6,4]=>[[1,3,6],[2,4,7],[5,8]]=>13
[3,2,7,5,1,8,4,6]=>[[1,3,6],[2,4,8],[5,7]]=>12
[3,7,2,5,1,8,4,6]=>[[1,2,6],[3,4,8],[5,7]]=>14
[3,7,5,2,1,8,4,6]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[2,1,7,5,8,4,6,3]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[1,3,4,5,6,7,9,2,8]=>[[1,2,3,4,5,6,7],[8,9]]=>14
[2,3,4,5,6,7,1,9,8]=>[[1,2,3,4,5,6,8],[7,9]]=>13
[2,1,4,5,6,7,8,9,3]=>[[1,3,4,5,6,7,8],[2,9]]=>7
[3,1,4,5,6,7,8,2,9]=>[[1,3,4,5,6,7,9],[2,8]]=>6
[5,8,3,4,1,7,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[5,8,7,2,4,1,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[3,8,6,4,1,7,5,2]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[4,3,5,6,8,1,7,2]=>[[1,3,4,5],[2,7],[6,8]]=>13
[3,7,6,4,1,8,5,2]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[3,7,4,1,8,6,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[3,8,4,1,7,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[3,2,7,6,1,5,4,8]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[3,2,8,7,6,1,5,4]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[5,7,8,2,4,1,6,3]=>[[1,2,3],[4,5,7],[6,8]]=>20
[4,2,5,8,1,6,7,3]=>[[1,3,4,7],[2,6],[5,8]]=>11
[4,2,5,8,1,7,3,6]=>[[1,3,4],[2,6,8],[5,7]]=>12
[5,8,2,4,1,6,3,7]=>[[1,2,6,8],[3,4],[5,7]]=>13
[8,4,2,6,5,1,3,7]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[3,2,6,8,1,5,4,7]=>[[1,3,4],[2,6,8],[5,7]]=>12
[8,3,2,5,6,1,4,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[3,2,8,6,7,1,5,4]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[3,2,6,8,7,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[3,2,6,7,1,5,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>10
[8,7,3,2,5,6,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[7,2,8,1,5,3,6,4]=>[[1,3,7],[2,5,8],[4,6]]=>8
[8,4,2,7,5,1,3,6]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[7,4,2,8,5,1,3,6]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[7,2,4,1,8,3,6,5]=>[[1,3,5],[2,6,7],[4,8]]=>12
[3,2,8,5,7,1,4,6]=>[[1,3,5],[2,4,8],[6,7]]=>13
[2,6,5,7,1,8,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>14
[2,5,1,8,7,4,3,6]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[8,1,4,6,3,5,2,7]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[8,3,5,4,1,6,2,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[8,6,3,4,1,5,2,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[5,4,7,6,8,2,3,1]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[4,1,8,2,3,7,6,5]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[2,1,8,5,3,4,7,6]=>[[1,3,6,7],[2,4,8],[5]]=>8
[5,2,4,6,8,7,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[1,6,8,3,4,5,7,2]=>[[1,2,3,6,7],[4,5],[8]]=>13
[5,7,4,8,6,1,3,2]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[5,4,2,6,7,8,1,3]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[6,4,2,7,3,5,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[7,4,1,8,3,5,6,2]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[6,5,4,8,7,3,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[8,7,4,2,1,3,6,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[8,7,1,3,2,5,6,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[6,8,2,3,1,7,5,4]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[7,4,3,2,6,8,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[2,7,4,3,8,5,6,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[8,3,7,2,1,5,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[5,7,8,2,4,3,1,6]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[8,4,7,3,2,6,1,5]=>[[1,3],[2,6],[4,8],[5],[7]]=>17
[8,3,1,6,7,4,2,5]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[3,2,5,7,4,8,1,6]=>[[1,3,4,6],[2,5,8],[7]]=>12
[8,2,7,3,4,1,5,6]=>[[1,3,5,7,8],[2],[4],[6]]=>9
[7,1,6,3,5,8,2,4]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[2,8,5,6,7,1,4,3]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[1,5,2,7,8,6,4,3]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[2,6,8,5,1,4,7,3]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[1,4,2,8,6,5,7,3]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[3,5,1,6,8,7,2,4]=>[[1,2,4,5],[3,6,8],[7]]=>16
[5,7,6,2,1,3,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[2,5,8,7,4,1,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[4,1,7,5,2,6,8,3]=>[[1,3,6,7],[2,4,8],[5]]=>8
[7,6,2,4,5,1,8,3]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[7,3,4,2,5,8,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[8,7,4,2,5,1,6,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[8,1,4,5,2,6,7,3]=>[[1,3,4,6,7],[2,8],[5]]=>9
[5,2,4,8,6,7,1,3]=>[[1,3,4,6],[2,5],[7,8]]=>15
[8,5,6,2,1,3,7,4]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[4,2,1,5,6,7,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>7
[3,4,6,5,1,7,8,2]=>[[1,2,3,6,7],[4,8],[5]]=>12
[7,3,5,2,4,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[5,3,7,2,4,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[3,7,5,2,4,6,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[5,7,3,2,4,6,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[1,5,3,2,4,7,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,5,3,2,7,4,6,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[5,7,3,2,1,4,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[5,7,3,2,4,1,6,8]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[3,7,2,5,4,1,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[5,1,3,2,4,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>7
[5,1,3,2,7,4,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>6
[7,1,3,2,5,4,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>6
[1,7,3,2,5,4,6,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[7,1,3,5,2,4,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>7
[5,1,3,7,2,4,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>7
[3,2,7,5,1,4,6,8]=>[[1,3,7,8],[2,4],[5,6]]=>10
[3,7,5,1,2,4,6,8]=>[[1,2,6,7,8],[3,5],[4]]=>7
[5,7,3,1,2,4,6,8]=>[[1,2,6,7,8],[3,5],[4]]=>7
[1,5,3,7,2,4,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[5,3,2,7,4,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[5,3,2,4,7,1,6,8]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[5,3,2,1,4,7,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[5,3,2,1,7,4,6,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[1,3,2,7,5,4,6,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,3,7,2,5,4,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[7,3,1,2,5,4,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>5
[5,3,1,2,7,4,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>5
[5,3,1,2,4,7,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>6
[3,2,5,1,4,7,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>6
[7,3,1,5,2,4,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[1,3,7,5,2,4,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>10
[7,5,1,3,2,4,6,8]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[5,7,1,3,2,4,6,8]=>[[1,2,6,7,8],[3,4],[5]]=>8
[3,7,1,5,2,4,6,8]=>[[1,2,6,7,8],[3,4],[5]]=>8
[3,7,1,2,5,4,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>9
[3,7,2,1,5,4,6,8]=>[[1,2,7,8],[3,5],[4,6]]=>10
[3,2,1,7,5,4,6,8]=>[[1,4,7,8],[2,5],[3,6]]=>6
[3,1,2,7,5,4,6,8]=>[[1,3,4,7,8],[2,5],[6]]=>8
[3,1,7,2,5,4,6,8]=>[[1,3,5,7,8],[2,4],[6]]=>7
[3,1,7,5,2,4,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[7,1,5,3,2,4,6,8]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[1,7,5,3,2,4,6,8]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[1,2,3,4,5,7,9,6,8]=>[[1,2,3,4,5,6,7],[8,9]]=>14
[1,2,3,4,6,9,5,7,8]=>[[1,2,3,4,5,6,9],[7,8]]=>12
[1,2,3,5,9,4,6,7,8]=>[[1,2,3,4,5,8,9],[6,7]]=>10
[1,2,4,9,3,5,6,7,8]=>[[1,2,3,4,7,8,9],[5,6]]=>8
[1,3,9,2,4,5,6,7,8]=>[[1,2,3,6,7,8,9],[4,5]]=>6
[1,8,7,4,2,6,5,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[2,8,5,1,7,6,4,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[6,8,5,1,2,7,4,3]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[2,10,1,9,8,7,6,5,4,3]=>[[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>43
[2,8,1,4,7,6,5,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[1,8,7,4,3,2,6,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[1,7,2,9,8,6,5,4,3]=>[[1,2,4],[3,5],[6],[7],[8],[9]]=>31
[1,8,5,4,2,7,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[9,2,1,10,8,7,6,5,4,3]=>[[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>36
[8,5,6,3,7,4,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[8,5,6,2,7,4,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[8,7,6,3,4,1,5,2]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[1,7,2,3,6,8,5,4]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[3,5,6,4,8,2,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[3,5,1,4,8,2,7,6]=>[[1,2,5],[3,4,7],[6,8]]=>16
[1,7,5,4,8,2,6,3]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[3,7,5,1,6,4,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[2,7,5,4,8,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[2,7,5,4,8,6,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[1,7,5,4,8,6,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[2,5,1,4,8,7,3,6]=>[[1,2,5],[3,4,6],[7,8]]=>17
[3,6,4,2,8,7,1,5]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[3,5,2,4,8,1,6,7]=>[[1,2,5,8],[3,4,7],[6]]=>10
[3,5,6,4,8,1,2,7]=>[[1,2,3,5],[4,7,8],[6]]=>16
[1,5,6,4,8,7,2,3]=>[[1,2,3,5],[4,6],[7,8]]=>19
[3,6,4,1,8,7,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>15
[3,6,4,5,8,7,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[1,6,4,3,8,5,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[7,1,3,4,5,8,2,6]=>[[1,3,4,5,6],[2,8],[7]]=>11
[7,6,1,4,5,3,8,2]=>[[1,4,5,7],[2],[3],[6],[8]]=>15
[7,6,1,3,5,4,8,2]=>[[1,4,5,7],[2],[3],[6],[8]]=>15
[7,1,3,2,5,8,4,6]=>[[1,3,5,6],[2,7,8],[4]]=>10
[1,6,4,2,8,5,3,7]=>[[1,2,5,8],[3,6],[4,7]]=>12
[7,6,5,8,2,4,3,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>21
[7,6,5,8,3,1,4,2]=>[[1,4],[2,7],[3,8],[5],[6]]=>15
[2,6,4,3,8,1,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[2,6,4,3,8,5,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[7,2,3,1,5,8,6,4]=>[[1,3,5,6],[2,7],[4,8]]=>11
[7,1,5,6,3,8,4,2]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[7,3,6,5,1,4,8,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[7,2,6,5,3,8,1,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[7,2,3,1,4,8,6,5]=>[[1,3,5,6],[2,7],[4,8]]=>11
[7,2,3,5,4,8,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[2,6,4,5,8,1,7,3]=>[[1,2,4,5],[3,7],[6,8]]=>16
[1,5,6,4,8,3,7,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[2,5,6,4,8,3,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[3,5,6,1,4,7,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>13
[7,6,1,3,4,5,8,2]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[7,1,3,2,4,8,5,6]=>[[1,3,5,6,8],[2,7],[4]]=>7
[7,6,1,5,3,4,8,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>14
[7,6,1,5,4,3,8,2]=>[[1,4,7],[2],[3],[5],[6],[8]]=>19
[1,6,4,5,8,3,2,7]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[7,6,5,8,1,3,2,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[3,4,6,8,7,2,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[3,5,6,8,2,1,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>18
[4,2,1,5,3,7,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>6
[4,2,5,6,3,1,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>11
[3,5,6,8,1,7,2,4]=>[[1,2,3,4],[5,6,8],[7]]=>18
[4,1,5,6,3,2,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>11
[4,5,3,1,7,2,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>12
[4,1,3,5,2,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>9
[2,5,4,7,3,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[3,5,7,1,8,4,2,6]=>[[1,2,3,5],[4,6,8],[7]]=>17
[4,1,5,3,2,7,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>8
[4,5,3,7,1,2,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>13
[4,3,6,1,2,7,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>6
[5,1,3,2,4,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>4
[3,6,1,7,4,5,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>14
[5,1,3,4,2,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>5
[5,3,1,4,2,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[4,5,2,3,7,1,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>11
[4,2,6,1,3,7,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>6
[4,6,2,1,3,7,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>8
[3,6,2,1,7,4,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>12
[3,1,4,7,6,5,2,8]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[3,6,2,7,1,5,8,4]=>[[1,2,4,7],[3,6],[5,8]]=>14
[4,6,2,7,1,3,5,8]=>[[1,2,4,8],[3,6,7],[5]]=>12
[3,5,7,1,8,2,6,4]=>[[1,2,3,5],[4,6,7],[8]]=>18
[5,1,4,2,3,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>4
[3,6,1,7,2,5,8,4]=>[[1,2,4,7],[3,5,6],[8]]=>15
[2,6,5,3,4,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[3,6,1,7,5,4,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[5,1,4,3,2,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[5,4,1,3,2,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[6,2,4,5,1,8,3,7]=>[[1,3,4,6],[2,7,8],[5]]=>11
[2,1,4,8,6,3,7,5]=>[[1,3,4,7],[2,5,8],[6]]=>11
[6,4,8,2,5,3,7,1]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[8,6,2,4,7,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[4,6,8,2,3,5,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>16
[2,6,8,1,4,5,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>16
[8,4,2,6,7,3,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[7,6,4,5,1,3,8,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[1,6,7,5,3,4,8,2]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[7,6,2,3,8,4,1,5]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[1,6,7,5,8,2,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>16
[6,2,5,8,3,4,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[6,2,3,8,7,4,1,5]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[2,4,7,3,5,8,6,1]=>[[1,2,3,6],[4,5,7],[8]]=>17
[2,5,3,7,1,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>14
[5,2,8,3,1,4,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>6
[4,8,2,3,6,5,7,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[5,8,1,3,6,4,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[5,8,1,4,3,6,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[5,8,4,1,3,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[6,4,5,3,8,1,7,2]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[4,6,5,3,7,1,2,8]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[4,5,1,3,6,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>11
[4,2,6,5,1,7,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>11
[4,3,5,7,2,1,6,8]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[3,4,7,6,8,1,2,5]=>[[1,2,3,5],[4,7,8],[6]]=>16
[3,4,6,2,5,8,7,1]=>[[1,2,3,6],[4,5,7],[8]]=>17
[3,5,2,4,6,1,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>11
[4,2,5,1,6,8,3,7]=>[[1,3,5,6],[2,7,8],[4]]=>10
[1,8,2,3,6,5,7,4]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[4,2,8,3,5,7,1,6]=>[[1,3,5,6],[2,4],[7,8]]=>14
[4,3,8,6,5,7,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[1,3,7,2,6,5,8,4]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[1,3,6,4,2,5,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>12
[1,5,4,7,3,6,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[5,2,3,8,4,1,7,6]=>[[1,3,4,7],[2,5],[6,8]]=>14
[7,5,3,4,8,2,1,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[7,2,8,3,4,1,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>7
[7,4,3,8,5,2,6,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[4,6,2,7,3,1,5,8]=>[[1,2,4,8],[3,5,7],[6]]=>13
[7,6,3,8,2,4,5,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[7,2,8,5,1,3,4,6]=>[[1,3,7,8],[2,4],[5,6]]=>10
[1,5,3,7,6,8,4,2]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[1,6,3,7,8,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>15
[1,4,3,7,8,5,2,6]=>[[1,2,4,5],[3,6,8],[7]]=>16
[4,2,6,5,7,8,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[4,2,6,7,5,8,1,3]=>[[1,3,4,6],[2,5],[7,8]]=>15
[3,2,4,7,8,5,1,6]=>[[1,3,4,5],[2,6,8],[7]]=>13
[3,2,6,7,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>12
[5,1,8,3,6,4,7,2]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[3,8,5,6,1,7,2,4]=>[[1,2,4,6],[3,7,8],[5]]=>14
[3,4,8,1,7,6,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[4,7,6,8,5,1,3,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[6,7,4,8,5,1,3,2]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[6,4,8,3,1,7,5,2]=>[[1,3],[2,6],[4,7],[5,8]]=>14
[3,6,5,8,7,1,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[5,7,4,8,2,6,3,1]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[5,6,4,8,2,7,3,1]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[6,5,3,8,2,7,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[6,4,8,1,3,7,5,2]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[7,6,3,1,4,2,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[1,5,4,3,7,8,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[7,8,4,2,5,3,1,6]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[4,2,7,8,5,3,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[4,2,5,3,1,7,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>8
[4,2,8,7,6,3,1,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[4,2,7,6,3,1,5,8]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[6,3,1,7,5,2,4,8]=>[[1,4,7,8],[2,5],[3,6]]=>6
[6,3,1,8,7,5,2,4]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[8,6,3,1,7,5,2,4]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[4,2,7,6,3,1,8,5]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[7,6,3,1,8,4,2,5]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[7,6,4,2,1,8,3,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[1,8,2,7,6,4,3,5]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[8,3,5,7,6,4,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23
[8,4,2,5,7,6,3,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[7,5,2,4,8,6,3,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[8,7,5,2,4,6,3,1]=>[[1,5,6],[2],[3],[4],[7],[8]]=>19
[7,5,2,4,6,3,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[5,2,8,6,3,7,4,1]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[8,4,7,5,2,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[8,3,6,4,7,5,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[1,8,2,7,5,3,6,4]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[7,5,2,1,8,3,6,4]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[7,5,2,6,3,1,8,4]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[5,2,7,4,1,8,6,3]=>[[1,3,6],[2,4,7],[5,8]]=>13
[5,2,8,7,4,1,6,3]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[8,7,4,1,5,2,6,3]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[7,4,1,5,2,8,6,3]=>[[1,4,6],[2,5,7],[3,8]]=>9
[7,6,3,1,4,2,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[7,5,2,8,6,3,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[8,7,5,2,6,3,1,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[7,5,2,1,3,6,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[8,7,5,2,1,3,6,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[7,5,2,1,3,8,6,4]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[1,3,7,6,5,8,2,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[8,6,4,7,5,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[6,4,8,7,5,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[6,4,7,5,2,1,3,8]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[6,3,1,4,7,5,2,8]=>[[1,4,5,8],[2,6],[3,7]]=>8
[6,3,1,4,8,7,5,2]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[8,6,3,1,4,7,5,2]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[8,5,7,6,3,1,4,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[1,8,2,5,7,6,4,3]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[1,8,2,6,4,7,5,3]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[7,5,2,1,6,4,8,3]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[6,3,8,7,4,1,5,2]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[6,3,7,4,1,5,2,8]=>[[1,3,6,8],[2,4],[5,7]]=>11
[7,4,1,6,3,5,2,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[7,4,1,8,6,3,5,2]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[8,4,6,3,1,7,5,2]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[6,4,7,5,2,1,8,3]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[1,6,4,7,5,3,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[8,6,3,5,2,7,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[6,3,5,2,8,7,4,1]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[6,3,5,2,7,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[1,4,7,3,5,2,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[5,7,4,2,6,3,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[4,2,6,3,5,7,1,8]=>[[1,3,5,6,8],[2,4],[7]]=>8
[2,4,5,8,1,6,7,3]=>[[1,2,3,4,7],[5,6],[8]]=>15
[6,1,3,7,4,2,5,8]=>[[1,3,4,7,8],[2,5],[6]]=>8
[3,2,6,8,1,5,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>13
[8,2,6,1,5,4,7,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,6,2,7,1,5,4,3]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[7,6,8,3,1,5,4,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>18
[6,3,7,2,8,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[7,5,2,8,6,1,4,3]=>[[1,4],[2,5],[3,7],[6,8]]=>14
[2,7,3,8,1,5,6,4]=>[[1,2,4,7],[3,6],[5,8]]=>14
[1,6,8,5,2,4,3,7]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[4,5,7,2,8,1,6,3]=>[[1,2,3,5],[4,7],[6,8]]=>17
[8,4,6,5,3,1,7,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[4,5,3,1,7,2,6,8]=>[[1,2,5,8],[3,6,7],[4]]=>11
[7,8,1,2,4,3,6,5]=>[[1,2,5,7],[3,4],[6,8]]=>15
[8,4,1,6,2,3,7,5]=>[[1,4,6,7],[2,5,8],[3]]=>6
[6,1,3,4,2,8,5,7]=>[[1,3,4,6,8],[2,7],[5]]=>8
[8,1,4,3,5,7,6,2]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[5,2,4,1,3,7,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>7
[1,7,4,3,6,8,2,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[8,7,1,3,6,5,4,2]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21
[1,8,5,7,4,2,6,3]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[4,7,5,3,8,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[8,1,5,4,7,2,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[6,3,5,8,7,4,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[1,4,8,7,3,5,6,2]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[8,1,7,6,3,5,4,2]=>[[1,3,6],[2],[4],[5],[7],[8]]=>21
[3,6,8,5,7,4,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[4,7,6,8,5,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[3,8,7,5,6,4,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>23
[2,8,7,6,4,5,3,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>22
[1,8,7,6,5,3,4,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>21
[4,6,7,2,5,3,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[2,4,7,8,1,6,5,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[4,2,6,8,7,1,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[5,1,8,4,2,7,6,3]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[2,7,3,8,1,6,5,4]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[2,6,8,4,1,7,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[4,6,7,1,2,8,5,3]=>[[1,2,3,6],[4,5,7],[8]]=>17
[3,6,1,8,2,7,5,4]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[5,7,4,1,2,8,6,3]=>[[1,2,6],[3,5,7],[4,8]]=>13
[6,3,7,1,2,8,5,4]=>[[1,3,6],[2,5,7],[4,8]]=>10
[1,7,8,5,4,3,2,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[1,2,6,7,8,4,3,5]=>[[1,2,3,4,5],[6,8],[7]]=>16
[8,1,4,6,7,3,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[4,7,1,3,6,8,2,5]=>[[1,2,5,6],[3,4],[7,8]]=>16
[3,7,6,4,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[3,7,5,4,2,1,8,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[1,3,6,7,4,2,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>14
[3,6,4,8,2,7,5,1]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[8,1,6,7,5,3,2,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[8,7,2,4,6,5,3,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21
[1,7,8,2,6,4,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[8,7,2,5,4,6,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[8,7,3,2,1,5,6,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[3,7,8,2,1,6,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[8,7,6,1,4,5,3,2]=>[[1,5,6],[2],[3],[4],[7],[8]]=>19
[4,8,1,2,3,7,5,6]=>[[1,2,5,6,8],[3,4],[7]]=>10
[1,8,2,3,6,5,4,7]=>[[1,2,4,5,8],[3],[6],[7]]=>13
[3,5,8,4,7,2,6,1]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[1,8,5,4,6,2,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[3,8,5,4,6,1,2,7]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[3,8,5,1,6,4,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[2,8,5,4,6,1,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[2,8,5,4,6,3,1,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>16
[1,8,5,4,6,3,2,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>16
[2,5,8,4,7,3,6,1]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[3,6,4,2,7,8,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[3,5,4,1,6,2,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[4,5,8,1,7,6,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[3,5,8,4,7,1,6,2]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[1,5,8,4,7,3,6,2]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[3,6,4,1,7,8,5,2]=>[[1,2,5,6],[3,7],[4,8]]=>14
[3,6,4,8,7,5,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[1,6,4,3,7,8,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[7,1,3,4,8,6,5,2]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[7,6,1,3,8,4,2,5]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[1,6,4,2,7,8,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>13
[2,6,4,3,7,1,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[2,6,4,1,7,8,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>13
[7,2,3,4,8,6,5,1]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[7,2,3,1,8,6,4,5]=>[[1,3,5,8],[2,6],[4,7]]=>9
[7,2,3,4,1,6,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>9
[1,2,4,3,8,5,7,6]=>[[1,2,3,5,7],[4,6],[8]]=>14
[7,3,8,6,1,4,2,5]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[7,2,8,6,3,4,1,5]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[7,2,3,1,5,6,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>8
[7,2,3,8,1,6,5,4]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[7,2,3,8,5,6,4,1]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[2,6,4,8,7,1,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[1,5,8,4,7,6,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[3,5,8,1,6,7,2,4]=>[[1,2,3,6],[4,5,8],[7]]=>16
[7,6,1,3,5,8,2,4]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[7,1,3,2,5,6,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>8
[7,1,3,8,2,6,5,4]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[7,6,1,8,5,4,2,3]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[3,2,6,5,8,4,7,1]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[4,3,7,1,6,5,8,2]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[5,2,6,4,8,3,7,1]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[4,3,7,5,8,2,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[5,3,7,4,8,2,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[5,3,7,4,8,1,6,2]=>[[1,3,5],[2,4,7],[6,8]]=>14
[4,3,7,1,5,2,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>8
[5,4,8,2,6,3,7,1]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[5,4,8,1,6,3,7,2]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[4,1,7,5,2,3,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[4,1,7,8,6,3,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[6,8,3,2,1,4,7,5]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[7,2,4,1,6,5,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[7,5,8,4,3,1,6,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[6,8,2,4,1,3,7,5]=>[[1,2,7],[3,4,8],[5,6]]=>13
[2,8,4,7,6,3,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[6,1,2,7,5,8,4,3]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[4,2,7,3,8,5,6,1]=>[[1,3,5,7],[2,4,6],[8]]=>10
[4,5,2,6,8,3,7,1]=>[[1,2,4,5],[3,6,7],[8]]=>17
[4,8,3,2,5,7,6,1]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[6,8,5,3,4,7,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[6,8,4,1,5,3,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[8,3,4,7,6,2,5,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[1,8,3,5,2,6,7,4]=>[[1,2,4,6,7],[3,8],[5]]=>11
[6,8,3,5,1,4,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[6,8,5,4,2,3,7,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[5,8,2,4,3,7,6,1]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[8,1,3,4,2,6,5,7]=>[[1,3,4,6,8],[2,7],[5]]=>8
[8,1,3,2,5,6,4,7]=>[[1,3,5,6,8],[2,7],[4]]=>7
[8,1,2,4,5,3,7,6]=>[[1,3,4,5,7],[2,8],[6]]=>10
[6,5,3,8,4,2,7,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[7,4,5,1,6,2,8,3]=>[[1,3,5,7],[2,6,8],[4]]=>9
[4,7,3,5,6,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[6,7,8,4,1,3,5,2]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[3,1,6,8,4,7,5,2]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[8,3,6,1,5,7,4,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[3,2,7,5,8,6,1,4]=>[[1,3,5],[2,4,6],[7,8]]=>15
[2,5,4,7,8,1,6,3]=>[[1,2,4,5],[3,7],[6,8]]=>16
[2,4,6,7,8,1,5,3]=>[[1,2,3,4,5],[6,7],[8]]=>17
[2,4,6,8,1,7,5,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[7,4,3,8,6,2,1,5]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[2,4,7,8,3,5,6,1]=>[[1,2,3,4],[5,6,7],[8]]=>19
[3,2,7,6,1,8,4,5]=>[[1,3,6],[2,4,8],[5,7]]=>12
[3,2,6,8,1,7,4,5]=>[[1,3,4],[2,6,8],[5,7]]=>12
[4,3,6,2,1,8,5,7]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[4,6,2,3,7,5,8,1]=>[[1,2,5,7],[3,4,6],[8]]=>12
[5,8,4,2,3,6,7,1]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[8,4,5,3,2,1,7,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[5,8,3,4,2,1,7,6]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[6,8,4,2,3,7,5,1]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[6,4,8,3,2,7,1,5]=>[[1,3],[2,6],[4,8],[5],[7]]=>17
[5,8,3,7,2,1,6,4]=>[[1,2],[3,4],[5,7],[6,8]]=>22
[2,5,6,4,7,1,8,3]=>[[1,2,3,5,7],[4,8],[6]]=>13
[6,4,7,3,8,2,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[6,7,4,3,2,1,8,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[8,4,3,7,2,1,5,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[1,2,6,5,8,7,3,4]=>[[1,2,3,5],[4,6],[7,8]]=>19
[1,5,2,8,4,6,7,3]=>[[1,2,4,6,7],[3,5],[8]]=>12
[1,5,2,7,4,6,8,3]=>[[1,2,4,6,7],[3,5],[8]]=>12
[5,1,2,7,3,6,8,4]=>[[1,3,4,6,7],[2,5],[8]]=>10
[5,1,2,8,3,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>10
[5,6,3,4,8,7,2,1]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[6,5,3,4,8,7,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[4,1,2,8,3,6,7,5]=>[[1,3,4,6,7],[2,5],[8]]=>10
[4,1,2,7,3,6,8,5]=>[[1,3,4,6,7],[2,5],[8]]=>10
[7,5,3,8,4,6,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[8,5,3,7,4,6,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[5,8,1,2,3,4,7,6]=>[[1,2,5,6,7],[3,4],[8]]=>11
[7,1,2,8,3,6,4,5]=>[[1,3,4,6,8],[2,5],[7]]=>9
[6,1,8,2,3,5,7,4]=>[[1,3,5,6,7],[2,4],[8]]=>9
[6,1,7,2,3,5,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>9
[1,6,8,2,4,5,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>13
[4,3,8,7,5,6,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[1,8,2,7,4,6,5,3]=>[[1,2,4,6],[3],[5],[7],[8]]=>19
[7,1,6,2,3,5,8,4]=>[[1,3,5,6,7],[2],[4],[8]]=>11
[8,1,6,2,3,5,7,4]=>[[1,3,5,6,7],[2],[4],[8]]=>11
[8,1,7,2,3,5,6,4]=>[[1,3,5,6,7],[2],[4],[8]]=>11
[5,8,3,7,4,6,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[6,8,7,3,4,5,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[1,8,7,2,4,5,3,6]=>[[1,2,5,6,8],[3],[4],[7]]=>11
[8,7,1,2,3,4,6,5]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[8,6,1,2,3,4,7,5]=>[[1,4,5,6,7],[2,8],[3]]=>7
[8,1,6,2,3,5,4,7]=>[[1,3,5,6,8],[2],[4],[7]]=>10
[1,7,6,2,4,5,3,8]=>[[1,2,5,6,8],[3],[4],[7]]=>11
[1,8,7,4,6,3,5,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[1,8,3,5,7,2,6,4]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[2,3,4,6,8,5,7,1]=>[[1,2,3,4,5],[6,7],[8]]=>17
[2,3,5,7,4,8,6,1]=>[[1,2,3,4,6],[5,7],[8]]=>16
[2,4,6,3,7,8,5,1]=>[[1,2,3,5,6],[4,7],[8]]=>15
[2,5,7,1,8,6,3,4]=>[[1,2,3,5],[4,6,8],[7]]=>17
[2,6,7,1,8,4,5,3]=>[[1,2,3,5],[4,6,7],[8]]=>18
[5,8,3,1,4,2,6,7]=>[[1,2,7,8],[3,5],[4,6]]=>10
[3,8,4,2,6,7,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[2,4,1,8,5,6,3,7]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,6,2,7,8,5,3,4]=>[[1,2,4,5],[3,6,8],[7]]=>16
[3,5,2,6,7,8,4,1]=>[[1,2,4,5,6],[3,7],[8]]=>14
[4,5,1,6,7,3,8,2]=>[[1,2,4,5,7],[3,6],[8]]=>13
[2,8,4,1,7,5,3,6]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[8,5,3,1,7,4,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[4,2,8,7,1,5,3,6]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[5,2,6,8,1,7,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[5,7,3,2,6,8,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[8,4,7,3,1,6,2,5]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[6,7,1,2,3,5,8,4]=>[[1,2,5,6,7],[3,4],[8]]=>11
[3,1,6,7,8,4,2,5]=>[[1,3,4,5],[2,6,8],[7]]=>13
[3,1,4,8,5,6,2,7]=>[[1,3,4,6,8],[2,5],[7]]=>9
[8,3,1,4,5,7,2,6]=>[[1,4,5,6],[2,7,8],[3]]=>9
[1,6,7,8,9,2,3,4,5]=>[[1,2,3,4,5],[6,7,8,9]]=>20
[6,7,8,9,1,2,3,4,5,10]=>[[1,2,3,4,9,10],[5,6,7,8]]=>16
[6,7,8,1,2,3,4,5,9]=>[[1,2,3,7,8,9],[4,5,6]]=>9
[1,7,8,9,2,3,4,5,6]=>[[1,2,3,4,8,9],[5,6,7]]=>12
[4,6,7,8,1,2,3,5,9]=>[[1,2,3,4,9],[5,6,7,8]]=>16
[1,5,7,8,9,2,3,4,6]=>[[1,2,3,4,5],[6,7,8,9]]=>20
[1,6,7,8,9,10,2,3,4,5]=>[[1,2,3,4,5,6],[7,8,9,10]]=>24
[8,6,2,3,5,1,4,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[8,2,4,5,7,3,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[2,6,3,8,7,5,4,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[8,2,3,7,5,4,1,6]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[8,2,6,3,5,4,1,7]=>[[1,3,5,8],[2],[4],[6],[7]]=>15
[8,6,1,5,2,4,3,7]=>[[1,4,6,8],[2],[3],[5],[7]]=>13
[8,6,2,4,1,5,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[8,4,1,6,5,3,2,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[8,3,6,1,5,4,2,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[8,3,2,6,5,4,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[8,3,2,5,7,4,1,6]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[8,3,1,7,5,4,2,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[8,2,7,4,1,5,3,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[6,1,3,8,7,5,4,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[3,6,1,8,7,5,4,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[3,8,1,5,7,6,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[3,5,2,8,7,6,4,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[3,4,8,2,7,6,5,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[3,4,8,7,1,6,5,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[8,1,3,5,7,6,4,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[4,1,8,5,7,6,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[8,2,7,1,4,5,6,3]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[8,1,7,3,4,6,2,5]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[8,3,1,7,2,6,5,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[3,8,2,4,7,6,5,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[2,8,3,7,4,6,5,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>19
[8,2,3,7,1,6,5,4]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[8,2,7,1,3,6,5,4]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[8,1,7,2,6,4,3,5]=>[[1,3,5,8],[2],[4],[6],[7]]=>15
[8,1,7,5,2,4,3,6]=>[[1,3,6,8],[2],[4],[5],[7]]=>14
[8,2,3,7,4,6,1,5]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[2,4,8,5,7,6,3,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>21
[8,2,4,3,7,6,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[8,2,7,3,5,1,4,6]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[8,2,7,4,3,1,5,6]=>[[1,3,7,8],[2],[4],[5],[6]]=>13
[8,2,7,3,1,5,6,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[8,2,1,5,7,6,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[6,2,1,8,7,5,4,3]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[6,1,8,2,7,5,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[8,1,7,3,5,2,6,4]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,1,5,2,7,6,4,3]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[8,1,7,2,4,6,5,3]=>[[1,3,5,6],[2],[4],[7],[8]]=>17
[8,2,4,1,7,6,5,3]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[4,2,8,3,7,6,5,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[4,8,2,1,7,6,5,3]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[5,1,8,7,2,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[5,8,1,3,7,6,2,4]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[8,2,5,4,1,7,6,3]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[5,1,4,8,7,6,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[8,1,4,3,7,6,5,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[4,8,1,3,7,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[4,3,8,1,7,6,5,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[5,8,6,3,2,1,7,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[5,7,6,3,2,4,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[6,5,7,2,4,3,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[5,7,1,3,2,8,6,4]=>[[1,2,6],[3,4,7],[5,8]]=>15
[5,8,1,3,2,7,4,6]=>[[1,2,6,8],[3,4],[5,7]]=>13
[8,5,1,3,2,4,6,7]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[7,5,8,2,1,4,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[6,7,1,2,5,4,8,3]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[6,8,1,2,5,7,4,3]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[8,1,6,4,2,3,5,7]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[1,5,4,8,2,3,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>14
[1,7,8,2,3,5,6,4]=>[[1,2,3,6,7],[4,5],[8]]=>13
[7,5,8,2,3,1,4,6]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[7,4,1,2,6,8,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>9
[6,2,8,1,5,7,3,4]=>[[1,3,6],[2,5,8],[4,7]]=>9
[7,3,5,4,2,1,8,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[7,3,2,8,5,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[1,7,4,3,6,8,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[4,7,6,5,2,3,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[4,7,6,5,1,3,8,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[6,7,4,2,1,8,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[1,7,6,3,2,8,4,5]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[6,5,8,1,7,3,4,2]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[6,5,8,2,3,7,4,1]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[4,1,2,8,5,3,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>8
[3,5,8,2,6,1,7,4]=>[[1,2,3,7],[4,5],[6,8]]=>17
[3,7,6,1,5,2,8,4]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[1,7,6,2,5,8,4,3]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[1,7,6,5,8,4,2,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[3,7,6,2,8,4,5,1]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[4,3,6,8,5,1,2,7]=>[[1,3,4],[2,5,8],[6,7]]=>15
[2,7,1,5,8,4,3,6]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[2,7,6,1,8,4,3,5]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[7,1,2,6,3,5,4,8]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[7,2,6,3,4,5,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>10
[6,7,8,4,2,5,3,1]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[6,1,2,5,7,8,4,3]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[4,1,2,7,8,5,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>13
[4,7,3,1,2,6,8,5]=>[[1,2,6,7],[3,5],[4,8]]=>12
[3,7,6,1,5,8,2,4]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[3,8,5,6,4,2,7,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>18
[3,2,6,4,7,8,5,1]=>[[1,3,5,6],[2,4,7],[8]]=>11
[4,2,7,5,8,3,1,6]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[4,2,7,1,3,8,6,5]=>[[1,3,6],[2,5,7],[4,8]]=>10
[5,2,1,4,7,8,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>9
[5,6,2,7,3,4,8,1]=>[[1,2,4,7],[3,5,6],[8]]=>15
[6,1,3,8,5,4,7,2]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[2,7,6,8,5,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[2,7,6,8,5,3,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[1,5,8,6,4,2,3,7]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[2,5,8,6,4,1,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[1,6,2,3,5,8,7,4]=>[[1,2,4,5,6],[3,7],[8]]=>14
[4,7,2,3,1,6,8,5]=>[[1,2,6,7],[3,4],[5,8]]=>14
[6,7,3,1,5,4,8,2]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[7,4,6,2,8,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[7,3,5,1,4,8,2,6]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[3,4,6,5,1,2,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>10
[7,5,4,3,8,6,2,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>20
[4,3,8,2,6,7,5,1]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[4,3,8,2,5,7,1,6]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[5,1,8,6,4,7,2,3]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[6,7,2,3,1,5,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>14
[7,5,2,3,8,1,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[7,5,2,3,8,4,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[4,5,1,7,6,3,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[8,1,7,5,2,3,4,6]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[8,6,3,1,4,2,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[4,5,1,6,2,8,7,3]=>[[1,2,4,6],[3,5,7],[8]]=>16
[4,8,3,6,1,7,2,5]=>[[1,2,6],[3,4,8],[5,7]]=>14
[6,2,7,8,3,4,5,1]=>[[1,3,4,7],[2,5,6],[8]]=>12
[9,2,3,4,5,6,7,8,1]=>[[1,3,4,5,6,7,8],[2],[9]]=>9
[8,2,3,4,5,6,7,1,9]=>[[1,3,4,5,6,7,9],[2],[8]]=>8
[7,2,3,4,5,6,1,8,9]=>[[1,3,4,5,6,8,9],[2],[7]]=>7
[6,2,3,4,5,1,7,8,9]=>[[1,3,4,5,7,8,9],[2],[6]]=>6
[5,2,3,4,1,6,7,8,9]=>[[1,3,4,6,7,8,9],[2],[5]]=>5
[4,2,3,1,5,6,7,8,9]=>[[1,3,5,6,7,8,9],[2],[4]]=>4
[1,2,4,3,5,6,7,8,9]=>[[1,2,3,5,6,7,8,9],[4]]=>3
[1,2,4,6,8,9,7,5,3]=>[[1,2,3,4,5,6],[7],[8],[9]]=>21
[1,2,4,5,3,6,7,8,9]=>[[1,2,3,4,6,7,8,9],[5]]=>4
[1,2,4,3,5,6,7,8,9,10]=>[[1,2,3,5,6,7,8,9,10],[4]]=>3
[1,2,4,6,8,10,9,7,5,3]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>30
[1,2,4,6,8,5,7,3]=>[[1,2,3,4,5],[6,7],[8]]=>17
[2,1,7,5,8,6,3,4]=>[[1,3,5],[2,4,6],[7,8]]=>15
[4,7,3,8,6,5,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[3,8,7,4,6,5,1,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[7,3,8,4,6,5,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[7,4,3,6,5,8,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[4,5,8,7,2,6,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[3,8,6,7,5,1,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[4,2,7,6,5,8,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[4,6,7,8,5,2,3,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[4,5,3,8,2,7,6,1]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[3,8,5,4,1,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[6,4,7,2,5,8,3,1]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[6,3,8,7,5,1,4,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[5,3,6,4,1,2,8,7]=>[[1,3,7],[2,4,8],[5,6]]=>11
[6,8,4,3,5,7,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[5,2,4,8,7,6,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[4,2,5,1,7,8,3,6]=>[[1,3,5,6],[2,7,8],[4]]=>10
[2,5,4,1,3,8,6,7]=>[[1,2,6,8],[3,5,7],[4]]=>8
[1,4,5,3,8,2,6,7]=>[[1,2,3,5,8],[4,7],[6]]=>12
[5,1,8,2,4,3,6,7]=>[[1,3,5,7,8],[2,4],[6]]=>7
[1,5,4,8,2,3,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>9
[4,8,3,1,6,7,2,5]=>[[1,2,6],[3,5,8],[4,7]]=>12
[3,4,8,2,6,5,7,1]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[3,6,2,4,8,7,1,5]=>[[1,2,5],[3,4,6],[7,8]]=>17
[4,7,3,2,6,8,1,5]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[7,3,4,6,8,1,2,5]=>[[1,3,4,5],[2,7,8],[6]]=>12
[3,6,7,2,5,8,1,4]=>[[1,2,3,6],[4,5],[7,8]]=>18
[1,5,6,8,3,7,2,4]=>[[1,2,3,4],[5,6],[7,8]]=>20
[6,1,5,8,3,4,7,2]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[5,6,8,1,3,4,7,2]=>[[1,2,3,7],[4,5,6],[8]]=>16
[2,8,5,6,3,4,7,1]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[6,8,1,3,5,4,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[8,1,6,3,5,4,7,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[7,1,2,5,8,4,6,3]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[6,2,4,8,1,7,3,5]=>[[1,3,4],[2,6,8],[5,7]]=>12
[3,1,7,8,5,4,6,2]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[1,6,2,7,4,8,5,3]=>[[1,2,4,6],[3,5,7],[8]]=>16
[2,7,1,8,4,3,5,6]=>[[1,2,4,8],[3,5,7],[6]]=>13
[6,7,1,8,3,2,4,5]=>[[1,2,4,8],[3,5,7],[6]]=>13
[2,7,6,3,5,8,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[2,7,5,6,8,1,3,4]=>[[1,2,4,5],[3,7,8],[6]]=>15
[6,7,2,8,1,3,4,5]=>[[1,2,4,8],[3,6,7],[5]]=>12
[5,1,6,8,7,2,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>10
[1,5,7,6,8,2,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>16
[7,4,6,8,5,3,1,2]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[3,8,6,7,5,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[4,7,5,8,6,3,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[1,6,8,3,2,5,4,7]=>[[1,2,3,8],[4,6],[5,7]]=>14
[2,6,8,1,5,4,7,3]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[1,5,4,7,6,2,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>16
[2,3,7,6,5,1,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[6,1,5,8,3,2,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[3,1,2,4,8,5,7,6]=>[[1,3,4,5,7],[2,6],[8]]=>11
[2,5,8,4,6,3,1,7]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[7,1,5,4,8,3,2,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[6,4,1,7,5,3,2,8]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[2,7,6,4,8,1,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[7,2,5,4,8,1,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[1,7,2,5,3,8,6,4]=>[[1,2,4,6],[3,7],[5,8]]=>15
[7,2,3,8,6,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[7,3,2,5,8,1,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[5,3,8,4,1,2,6,7]=>[[1,3,7,8],[2,4],[5,6]]=>10
[2,4,8,3,7,1,5,6]=>[[1,2,3,8],[4,5],[6,7]]=>16
[5,2,8,4,1,6,3,7]=>[[1,3,6,8],[2,4],[5,7]]=>11
[7,6,5,2,1,8,4,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[2,7,5,1,8,3,6,4]=>[[1,2,5],[3,6,7],[4,8]]=>16
[5,1,8,7,4,3,6,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[3,8,7,2,4,6,1,5]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[5,7,1,3,2,4,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>10
[4,2,7,6,3,5,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[8,4,7,6,3,5,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>17
[8,1,7,4,2,3,5,6]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[6,5,1,3,8,7,4,2]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[4,7,8,3,2,5,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[6,1,8,5,3,7,2,4]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[5,1,6,8,3,7,4,2]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[8,6,5,1,7,4,3,2]=>[[1,5],[2,6],[3],[4],[7],[8]]=>20
[7,6,4,1,3,5,8,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[8,2,3,7,1,4,5,6]=>[[1,3,4,7,8],[2,6],[5]]=>7
[2,8,3,7,1,4,5,6]=>[[1,2,4,7,8],[3,6],[5]]=>9
[5,6,2,7,4,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[8,6,2,7,4,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[3,7,8,5,2,1,4,6]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[6,8,4,7,3,1,5,2]=>[[1,2],[3,4],[5,7],[6,8]]=>22
[4,8,6,5,1,2,7,3]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[4,8,6,5,1,2,3,7]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[3,4,5,1,7,6,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>14
[3,8,7,6,5,1,2,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[8,4,6,7,1,2,5,3]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[5,7,2,6,1,8,4,3]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[5,7,2,6,1,3,8,4]=>[[1,2,7],[3,4,8],[5,6]]=>13
[5,8,2,6,1,4,7,3]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[3,8,7,5,6,1,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[6,8,4,7,2,1,5,3]=>[[1,2],[3,4],[5,7],[6,8]]=>22
[7,4,6,5,1,3,8,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[1,7,3,4,5,2,8,6]=>[[1,2,4,5,7],[3,8],[6]]=>12
[4,8,2,1,3,5,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>7
[1,7,2,5,4,3,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[2,6,7,3,4,8,1,5]=>[[1,2,3,6],[4,5,8],[7]]=>16
[2,1,5,7,4,3,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>11
[4,1,8,7,5,6,2,3]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[1,5,8,7,4,3,6,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[6,4,1,3,8,7,5,2]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[2,1,7,4,6,8,3,5]=>[[1,3,5,6],[2,4,8],[7]]=>10
[1,7,2,4,6,8,3,5]=>[[1,2,4,5,6],[3,8],[7]]=>13
[8,6,4,2,7,3,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[7,4,6,1,2,3,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>7
[1,8,6,2,7,3,5,4]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[1,7,8,6,2,3,5,4]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[2,1,8,3,5,7,6,4]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[3,5,8,1,7,6,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[2,8,1,3,6,7,5,4]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[7,2,4,8,6,1,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[2,3,4,5,6,7,9,1,10,8]=>[[1,2,3,4,5,6,7,9],[8,10]]=>15
[8,2,1,3,4,5,6,7,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>3
[3,2,4,5,6,7,8,1,9]=>[[1,3,4,5,6,7,9],[2],[8]]=>8
[9,2,1,3,4,5,6,7,8,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>3
[8,3,1,2,4,5,6,7,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>3
[8,2,3,1,4,5,6,7,9]=>[[1,3,5,6,7,8,9],[2],[4]]=>4
[4,2,3,5,6,7,8,1,9]=>[[1,3,4,5,6,7,9],[2],[8]]=>8
[5,8,4,3,1,6,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[8,7,2,4,6,10,1,3,5,9]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>18
[6,5,2,4,8,10,1,3,7,9]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>18
[8,7,6,5,2,4,10,1,3,9]=>[[1,6,7],[2,9,10],[3],[4],[5],[8]]=>21
[4,10,3,9,2,6,8,1,5,7]=>[[1,2,7],[3,4,10],[5,6],[8,9]]=>27
[3,6,10,2,5,9,4,8,1,7]=>[[1,2,3],[4,5,6],[7,8],[9,10]]=>37
[3,5,7,10,2,4,6,9,8,1]=>[[1,2,3,4],[5,6,7,8],[9],[10]]=>33
[5,10,4,9,3,8,2,7,6,1]=>[[1,2],[3,4],[5,6],[7,8],[9],[10]]=>41
[4,6,10,3,5,9,8,7,2,1]=>[[1,2,3],[4,5,6],[7],[8],[9],[10]]=>39
[5,10,4,9,8,7,6,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>43
[8,12,7,11,2,4,6,10,1,3,5,9]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>32
[6,12,5,11,2,4,8,10,1,3,7,9]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>32
[6,10,5,9,2,4,8,12,1,3,7,11]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>32
[12,11,6,10,5,9,2,4,8,1,3,7]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>30
[8,7,6,12,5,11,2,4,10,1,3,9]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>30
[8,7,6,12,5,11,10,9,2,4,1,3]=>[[1,4],[2,6],[3,7],[5,8],[9,10],[11,12]]=>49
[4,12,3,11,2,6,8,10,1,5,7,9]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>32
[4,10,3,9,2,6,8,12,1,5,7,11]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>32
[12,11,4,10,3,9,2,6,8,1,5,7]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>30
[4,8,3,7,2,6,10,12,1,5,9,11]=>[[1,2,7,8],[3,4,11,12],[5,6],[9,10]]=>32
[10,9,4,8,3,7,2,6,12,1,5,11]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>30
[3,5,8,12,2,4,7,11,6,10,1,9]=>[[1,2,3,4],[5,6,7,8],[9,10],[11,12]]=>52
[6,5,4,12,3,11,2,8,10,1,7,9]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>30
[6,5,4,10,3,9,2,8,12,1,7,11]=>[[1,4,9],[2,6,12],[3,8],[5,11],[7],[10]]=>30
[4,7,12,3,6,11,5,10,2,9,8,1]=>[[1,2,3],[4,5,6],[7,8],[9,10],[11],[12]]=>58
[6,3,7,2,5,4,8,1]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[5,4,7,3,2,6,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[5,7,2,6,3,4,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[3,7,5,4,6,2,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>17
[6,8,3,2,1,7,4,5]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[4,8,1,7,5,3,2,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[5,4,3,7,2,8,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[3,6,5,7,2,8,4,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[4,6,5,3,8,2,1,7]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[2,6,5,8,7,3,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[6,3,8,4,1,7,2,5]=>[[1,3,6],[2,4,8],[5,7]]=>12
[7,2,8,1,6,4,3,5]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[8,2,6,4,3,5,1,7]=>[[1,3,6,8],[2],[4],[5],[7]]=>14
[5,4,2,8,6,3,7,1]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[2,8,7,5,3,1,4,6]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[2,5,6,3,1,4,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>14
[2,4,7,8,5,3,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[6,5,3,2,4,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[6,5,8,7,3,2,4,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[2,1,4,7,8,5,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>13
[8,5,6,7,3,1,4,2]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[8,7,5,3,2,6,4,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>18
[8,5,3,1,4,6,7,2]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[8,5,1,6,4,3,7,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[6,1,4,3,7,8,2,5]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[6,1,2,7,5,8,3,4]=>[[1,3,4,6],[2,5,8],[7]]=>12
[2,7,3,1,4,6,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>10
[2,8,3,1,6,5,7,4]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[3,8,5,6,7,1,2,4]=>[[1,2,4,5],[3,7,8],[6]]=>15
[2,5,8,1,4,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>16
[2,1,8,7,5,4,6,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[7,8,3,4,1,6,5,2]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[8,7,3,4,2,6,5,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[8,4,5,2,3,7,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[4,7,2,8,6,3,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[4,7,5,2,3,8,1,6]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[6,4,7,5,2,8,3,1]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[7,5,1,3,6,4,8,2]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[6,5,2,3,7,8,4,1]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[7,2,6,3,1,5,8,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[4,6,3,8,7,5,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[2,8,4,1,5,7,6,3]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[1,8,4,2,5,7,6,3]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[2,8,5,4,1,7,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[2,5,8,3,7,1,6,4]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[1,8,5,2,4,7,6,3]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[1,4,6,2,8,7,5,3]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[7,8,2,4,1,6,5,3]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[2,4,6,1,8,7,5,3]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[2,8,4,5,1,7,6,3]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[3,5,8,2,7,6,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[2,1,6,8,7,5,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[1,8,2,4,5,7,6,3]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[1,2,8,3,5,7,6,4]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[1,3,8,2,5,7,6,4]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[2,3,8,1,5,7,6,4]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[2,6,1,8,7,5,3,4]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[1,6,2,8,7,5,3,4]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[1,6,3,8,7,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[2,6,3,8,7,5,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[3,2,8,1,5,7,6,4]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[3,1,8,2,5,7,6,4]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[2,8,1,4,5,7,6,3]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[7,8,2,1,4,6,5,3]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[2,3,6,8,7,5,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[3,1,6,8,7,2,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[3,8,4,5,1,6,2,7]=>[[1,2,4,6,8],[3,7],[5]]=>10
[6,1,4,5,7,2,3,8]=>[[1,3,4,5,8],[2,7],[6]]=>9
[8,1,4,7,6,3,2,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[8,3,1,6,4,7,2,5]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[5,3,8,6,2,7,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[8,3,6,1,5,7,2,4]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[8,4,6,3,1,2,5,7]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[6,8,1,4,5,2,3,7]=>[[1,2,5,8],[3,4],[6,7]]=>14
[1,5,8,4,6,2,3,7]=>[[1,2,3,8],[4,5],[6,7]]=>16
[2,1,6,5,3,8,4,7]=>[[1,3,6,8],[2,4,7],[5]]=>7
[5,6,8,1,4,2,3,7]=>[[1,2,3,8],[4,5,7],[6]]=>14
[5,7,4,8,1,2,3,6]=>[[1,2,4,8],[3,6,7],[5]]=>12
[8,2,1,5,3,7,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>5
[4,7,8,1,2,6,3,5]=>[[1,2,3,8],[4,5,6],[7]]=>15
[8,7,1,5,6,2,3,4]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[1,6,5,8,7,2,3,4]=>[[1,2,4,8],[3,5],[6,7]]=>15
[3,7,1,6,2,4,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>10
[5,1,2,7,6,8,3,4]=>[[1,3,4,6],[2,5,8],[7]]=>12
[6,1,7,2,5,8,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>10
[1,7,6,5,8,2,3,4]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[1,6,8,5,7,2,3,4]=>[[1,2,3,8],[4,5],[6,7]]=>16
[7,5,1,2,6,8,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>9
[6,1,5,2,7,8,3,4]=>[[1,3,5,6],[2,7,8],[4]]=>10
[1,6,3,8,7,2,4,5]=>[[1,2,4,8],[3,5],[6,7]]=>15
[1,7,3,2,4,6,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>10
[8,3,1,4,2,5,7,6]=>[[1,4,6,7],[2,5,8],[3]]=>6
[3,1,2,7,8,4,6,5]=>[[1,3,4,5],[2,6,7],[8]]=>14
[5,1,2,6,8,7,3,4]=>[[1,3,4,5],[2,6,8],[7]]=>13
[1,8,6,2,5,7,3,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[5,7,8,1,2,6,3,4]=>[[1,2,3,8],[4,5,6],[7]]=>15
[8,1,5,7,6,2,3,4]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[7,1,6,8,5,2,3,4]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[3,7,1,2,8,4,6,5]=>[[1,2,5,7],[3,4,6],[8]]=>12
[8,3,1,2,7,6,4,5]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[1,5,8,7,6,2,3,4]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[7,8,6,1,5,2,3,4]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[1,9,3,4,5,6,7,8,2]=>[[1,2,4,5,6,7,8],[3],[9]]=>10
[1,10,3,4,5,6,7,8,9,2]=>[[1,2,4,5,6,7,8,9],[3],[10]]=>11
[7,8,6,3,1,5,2,4]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[7,8,1,3,4,5,2,6]=>[[1,2,5,6,8],[3,4],[7]]=>10
[1,7,4,8,2,5,3,6]=>[[1,2,4,8],[3,6],[5,7]]=>13
[3,8,6,1,4,2,7,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[7,1,8,2,4,6,3,5]=>[[1,3,5,6],[2,4],[7,8]]=>14
[7,6,8,4,1,5,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>18
[7,3,2,8,1,5,4,6]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[3,5,4,1,7,2,6,8]=>[[1,2,5,8],[3,6,7],[4]]=>11
[6,4,7,3,2,5,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[7,6,5,3,8,4,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[6,4,5,7,8,1,3,2]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[3,7,4,1,6,8,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[3,1,2,7,6,8,5,4]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[6,3,2,8,4,5,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[6,1,8,3,5,4,2,7]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[3,8,5,2,4,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[1,6,4,8,3,5,2,7]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[1,5,4,8,6,3,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[4,8,2,5,3,7,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[3,8,4,5,2,6,7,1]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[4,1,8,6,5,3,7,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[5,7,8,4,6,3,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[5,3,2,8,6,4,7,1]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[6,8,1,2,7,4,3,5]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[5,8,7,3,6,2,4,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>22
[7,5,2,3,4,8,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[7,3,5,4,2,8,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[5,6,1,3,2,4,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>8
[2,5,1,3,7,8,6,4]=>[[1,2,5,6],[3,4,7],[8]]=>13
[4,3,7,2,1,8,6,5]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[4,6,7,2,1,3,5,8]=>[[1,2,3,8],[4,6,7],[5]]=>13
[4,6,2,3,1,5,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>8
[3,6,4,2,5,1,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>10
[3,1,6,4,7,5,2,8]=>[[1,3,5,8],[2,4,6],[7]]=>9
[3,6,2,7,5,4,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[2,4,7,5,3,6,1,8]=>[[1,2,3,6,8],[4],[5],[7]]=>13
[2,5,7,3,4,1,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[2,3,5,8,6,4,7,1]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[2,4,7,3,8,6,5,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[3,4,2,7,5,8,6,1]=>[[1,2,4,6],[3,5,7],[8]]=>16
[3,1,5,4,7,8,6,2]=>[[1,3,5,6],[2,4,7],[8]]=>11
[4,5,7,2,3,1,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>15
[3,7,8,1,4,6,5,2]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[2,5,8,7,4,1,3,6]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[2,6,4,7,5,3,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[6,2,4,7,1,3,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>10
[7,3,5,1,4,2,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[5,4,7,1,3,2,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[6,1,4,7,5,3,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[8,7,4,3,1,5,6,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[8,7,1,4,3,5,6,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>14
[6,1,8,4,7,3,2,5]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[4,7,3,6,1,2,8,5]=>[[1,2,7],[3,4,8],[5,6]]=>13
[5,2,1,7,4,3,8,6]=>[[1,4,7],[2,5,8],[3,6]]=>7
[4,7,6,2,3,1,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[7,6,8,2,5,3,4,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[2,3,6,1,8,7,5,4]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[2,6,8,7,5,3,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[6,4,1,7,5,2,8,3]=>[[1,4,7],[2,5,8],[3,6]]=>7
[5,7,8,2,3,6,1,4]=>[[1,2,3],[4,5,6],[7,8]]=>21
[4,8,7,1,2,5,6,3]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[2,8,7,4,1,5,6,3]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[8,6,2,1,5,7,4,3]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[3,8,6,7,5,2,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[6,1,3,7,5,8,2,4]=>[[1,3,4,6],[2,5],[7,8]]=>15
[4,7,3,1,8,5,6,2]=>[[1,2,5],[3,6,7],[4,8]]=>16
[2,6,7,5,3,4,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[2,6,4,5,7,3,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[6,1,4,5,8,3,7,2]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[6,1,8,5,3,4,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[4,1,5,6,8,3,7,2]=>[[1,3,4,5],[2,6,7],[8]]=>14
[6,4,1,8,7,2,5,3]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[1,7,2,3,4,5,6,9,8]=>[[1,2,4,5,6,7,8],[3,9]]=>9
[6,9,1,2,3,4,5,7,8]=>[[1,2,5,6,7,8,9],[3,4]]=>4
[1,3,8,5,2,7,4,6]=>[[1,2,3,6],[4,7,8],[5]]=>15
[1,3,8,6,7,2,4,5]=>[[1,2,3,5],[4,7,8],[6]]=>16
[2,8,3,7,6,1,4,5]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[4,2,7,8,6,1,3,5]=>[[1,3,4],[2,5,8],[6,7]]=>15
[1,3,8,7,6,2,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[7,4,6,8,5,2,3,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[5,2,6,7,8,1,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>12
[4,5,6,8,1,2,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>19
[3,5,8,6,1,2,7,4]=>[[1,2,3,7],[4,6,8],[5]]=>14
[4,2,6,8,7,1,3,5]=>[[1,3,4],[2,5,8],[6,7]]=>15
[1,4,6,8,7,2,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>17
[4,5,3,8,1,7,2,6]=>[[1,2,4],[3,6,8],[5,7]]=>16
[3,5,8,4,1,7,2,6]=>[[1,2,3],[4,6,8],[5,7]]=>17
[1,6,5,7,8,2,3,4]=>[[1,2,4,5],[3,7,8],[6]]=>15
[6,5,4,8,1,3,7,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[7,6,4,8,5,1,3,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[6,3,7,5,2,4,8,1]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[8,1,2,7,4,5,3,6]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[2,5,7,4,6,1,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>16
[6,1,7,4,5,3,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[8,2,7,3,1,5,4,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[2,6,4,8,3,1,7,5]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[8,1,3,7,5,6,4,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[1,2,5,3,8,6,7,4]=>[[1,2,3,5,7],[4,6],[8]]=>14
[4,1,6,5,7,8,2,3]=>[[1,3,5,6],[2,4,8],[7]]=>10
[6,1,3,7,4,2,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>11
[6,7,2,4,1,3,8,5]=>[[1,2,7],[3,4,8],[5,6]]=>13
[7,3,8,4,2,6,5,1]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[8,5,3,4,2,7,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[1,3,8,2,5,6,7,4]=>[[1,2,3,6,7],[4,5],[8]]=>13
[1,8,6,7,2,5,4,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[7,6,8,3,5,4,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>23
[1,6,7,3,8,5,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[8,7,2,4,6,1,5,3]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[7,8,6,5,2,4,3,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>24
[3,6,7,5,2,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[5,4,6,7,8,1,3,2]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[5,3,6,7,8,1,4,2]=>[[1,3,4,5],[2,7],[6,8]]=>13
[5,3,7,6,8,4,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[7,5,3,2,8,6,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[5,4,8,6,7,2,3,1]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[5,4,8,6,3,1,2,7]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[4,5,7,3,6,2,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[4,5,6,3,8,2,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[5,4,8,7,2,1,3,6]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[2,5,4,7,8,1,3,6]=>[[1,2,4,5],[3,7,8],[6]]=>15
[5,3,6,4,8,2,7,1]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[5,3,7,4,6,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[8,2,6,3,7,4,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[8,2,4,7,3,5,6,1]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[8,2,6,5,7,3,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[4,5,6,2,7,3,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>14
[5,4,6,2,8,3,7,1]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[8,4,6,1,7,2,5,3]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[5,2,1,6,3,8,7,4]=>[[1,4,6],[2,5,7],[3,8]]=>9
[4,5,6,3,7,1,8,2]=>[[1,2,3,5,7],[4,8],[6]]=>13
[6,3,2,8,5,4,1,7]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[4,3,1,5,2,8,6,7]=>[[1,4,6,8],[2,5,7],[3]]=>5
[8,5,4,1,3,2,6,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[3,8,4,1,5,2,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>8
[2,5,4,3,8,1,6,7]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[2,5,7,4,3,1,6,8]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[5,3,4,2,7,1,6,8]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[3,7,5,4,1,2,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[4,3,5,1,2,7,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>6
[4,1,6,3,5,2,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>7
[4,2,1,8,6,3,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>7
[3,1,7,2,5,6,4,8]=>[[1,3,5,6,8],[2,4],[7]]=>8
[3,7,5,4,2,1,6,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[3,7,2,4,1,6,5,8]=>[[1,2,6,8],[3,4],[5,7]]=>13
[7,3,2,1,6,4,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[2,8,6,1,7,4,3,5]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[2,5,4,6,1,3,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[2,5,6,4,1,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>10
[8,5,2,6,1,3,7,4]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[7,1,5,6,3,2,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[7,1,2,5,4,6,3,8]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[2,4,1,6,5,3,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[4,1,2,7,5,6,3,8]=>[[1,3,4,6,8],[2,5],[7]]=>9
[7,1,2,6,5,4,3,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[8,2,1,5,6,3,7,4]=>[[1,4,5,7],[2,6,8],[3]]=>8
[2,8,5,1,6,4,7,3]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[6,1,4,5,3,2,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[3,1,6,5,4,2,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[3,1,4,6,5,2,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>8
[2,1,8,6,3,7,5,4]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[5,8,3,1,7,6,4,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[7,6,3,2,8,5,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[5,6,3,8,7,4,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[5,2,6,8,7,4,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[6,3,8,5,4,1,2,7]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[6,3,8,4,5,1,2,7]=>[[1,3,5,8],[2,4],[6,7]]=>12
[5,2,3,1,4,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>7
[5,4,1,3,2,8,6,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[5,1,3,4,2,8,6,7]=>[[1,3,4,6,8],[2,7],[5]]=>8
[5,2,1,4,3,8,6,7]=>[[1,4,6,8],[2,5,7],[3]]=>5
[4,2,7,3,8,5,1,6]=>[[1,3,5,8],[2,4,6],[7]]=>9
[4,7,3,2,8,5,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[4,3,7,2,8,5,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[5,3,1,2,4,8,6,7]=>[[1,4,5,6,8],[2,7],[3]]=>6
[5,4,3,1,2,8,6,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[5,3,4,1,2,8,6,7]=>[[1,3,6,8],[2,5,7],[4]]=>6
[5,2,3,4,1,8,6,7]=>[[1,3,4,6,8],[2,7],[5]]=>8
[5,1,7,3,4,6,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>9
[5,8,7,4,3,1,6,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>19
[6,8,1,3,4,5,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>11
[3,1,7,8,2,5,4,6]=>[[1,3,4,8],[2,5,6],[7]]=>11
[6,2,3,7,4,1,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>11
[6,3,7,4,1,2,5,8]=>[[1,3,7,8],[2,4],[5,6]]=>10
[7,2,6,8,4,3,1,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[3,7,2,8,6,5,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[3,6,7,5,1,2,4,8]=>[[1,2,3,8],[4,6,7],[5]]=>13
[7,4,5,1,8,2,3,6]=>[[1,3,5,8],[2,6,7],[4]]=>8
[7,2,3,1,8,4,5,6]=>[[1,3,5,7,8],[2,6],[4]]=>6
[2,1,4,8,3,7,5,6]=>[[1,3,4,8],[2,5,6],[7]]=>11
[4,8,1,6,7,3,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[1,2,7,8,4,3,6,5]=>[[1,2,3,4],[5,7],[6,8]]=>18
[4,8,1,3,5,6,2,7]=>[[1,2,5,6,8],[3,4],[7]]=>10
[5,3,7,8,4,2,6,1]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[6,3,7,8,2,4,5,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[8,5,2,4,3,1,7,6]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[7,5,4,2,3,1,8,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[3,5,4,6,7,1,8,2]=>[[1,2,4,5,7],[3,8],[6]]=>12
[1,4,2,6,5,8,7,3]=>[[1,2,4,6],[3,5,7],[8]]=>16
[1,3,2,6,4,8,7,5]=>[[1,2,4,6],[3,5,7],[8]]=>16
[1,4,2,5,3,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>16
[1,5,2,6,4,8,7,3]=>[[1,2,4,6],[3,5,7],[8]]=>16
[1,6,2,5,3,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>15
[2,5,1,4,3,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>15
[1,7,3,5,4,8,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[1,8,2,6,3,7,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[1,8,3,6,4,7,5,2]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[1,7,2,6,4,8,5,3]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[1,7,2,6,3,8,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[1,5,2,7,4,8,6,3]=>[[1,2,4,6],[3,5,7],[8]]=>16
[1,4,2,8,5,7,6,3]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[4,8,1,3,2,6,5,7]=>[[1,2,6,8],[3,4],[5,7]]=>13
[1,5,3,8,4,7,6,2]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[1,8,4,7,3,6,5,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[2,6,3,8,1,5,4,7]=>[[1,2,4,8],[3,6],[5,7]]=>13
[8,3,1,4,2,6,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>5
[4,8,7,3,5,2,1,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[6,8,7,3,5,2,4,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>22
[8,3,5,1,2,6,4,7]=>[[1,3,6,8],[2,5,7],[4]]=>6
[8,6,3,1,5,4,2,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[8,6,4,1,5,3,2,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[8,6,5,4,1,3,2,7]=>[[1,6,8],[2],[3],[4],[5],[7]]=>16
[5,3,8,7,4,6,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[2,3,8,7,4,6,1,5]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[8,3,5,7,4,1,2,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[4,8,5,3,1,2,7,6]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[6,8,7,3,1,5,4,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[6,8,5,4,1,3,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[2,5,8,7,4,6,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[4,8,7,6,5,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>23
[3,8,7,5,1,6,2,4]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[2,3,8,7,5,6,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[2,8,7,1,3,6,4,5]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[8,5,4,7,2,1,3,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[6,8,7,3,5,2,1,4]=>[[1,2],[3,5],[4,8],[6],[7]]=>21
[3,5,8,6,4,2,7,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>19
[6,8,4,1,5,2,7,3]=>[[1,2,7],[3,5,8],[4,6]]=>11
[6,8,2,1,7,5,3,4]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[5,8,4,6,1,2,7,3]=>[[1,2,7],[3,4,8],[5,6]]=>13
[2,4,8,6,5,1,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[4,8,7,6,5,2,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[4,8,7,5,1,6,2,3]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[4,5,2,1,8,6,7,3]=>[[1,2,5,7],[3,6],[4,8]]=>13
[4,5,8,3,1,6,7,2]=>[[1,2,3,7],[4,6],[5,8]]=>15
[5,7,2,8,4,6,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>20
[6,7,3,2,4,8,5,1]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[7,2,8,6,4,5,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[8,7,2,6,5,1,3,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[5,2,7,8,4,1,3,6]=>[[1,3,4],[2,5,8],[6,7]]=>15
[2,7,8,6,4,1,3,5]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[7,6,3,5,2,8,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[6,2,7,4,8,5,3,1]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[8,6,5,1,7,2,4,3]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[6,8,5,1,7,3,2,4]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[1,6,8,3,7,4,2,5]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[5,1,6,3,4,8,2,7]=>[[1,3,5,6],[2,4,8],[7]]=>10
[3,5,2,6,4,8,1,7]=>[[1,2,4,6],[3,5,8],[7]]=>15
[3,5,2,4,8,1,7,6]=>[[1,2,5],[3,4,7],[6,8]]=>16
[6,3,8,2,4,1,7,5]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[4,6,3,8,7,5,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[6,3,8,7,5,4,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>24
[6,8,4,2,1,7,5,3]=>[[1,2],[3,6],[4,7],[5,8]]=>18
[5,2,6,4,3,8,1,7]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[6,5,3,1,4,8,2,7]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[3,1,7,8,6,4,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[3,8,1,7,6,2,5,4]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[8,1,7,6,4,2,5,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[7,2,6,3,8,5,4,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[7,3,8,6,4,1,5,2]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[1,7,5,8,2,4,3,6]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[6,1,5,2,4,8,3,7]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[1,5,6,3,8,2,4,7]=>[[1,2,3,5],[4,7,8],[6]]=>16
[8,7,1,3,6,5,2,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[2,6,7,4,3,8,5,1]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[5,2,4,7,3,8,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[1,5,8,7,2,4,6,3]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[1,4,8,7,3,6,5,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[8,3,7,2,5,1,6,4]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[3,7,2,8,1,5,4,6]=>[[1,2,4],[3,6,8],[5,7]]=>16
[3,2,6,1,5,8,4,7]=>[[1,3,6],[2,5,8],[4,7]]=>9
[7,2,1,5,8,4,3,6]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[7,2,8,1,4,3,6,5]=>[[1,3,7],[2,5,8],[4,6]]=>8
[1,7,8,3,2,6,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[1,7,4,8,3,2,6,5]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[1,7,5,4,8,3,2,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[6,1,5,4,3,8,2,7]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[1,7,4,5,6,8,2,3]=>[[1,2,4,5,6],[3,8],[7]]=>13
[1,3,4,5,6,7,9,8,2]=>[[1,2,3,4,5,6,7],[8],[9]]=>15
[2,3,4,5,7,6,8,1,9]=>[[1,2,3,4,5,7,9],[6],[8]]=>12
[1,8,4,5,6,7,9,2,3]=>[[1,2,4,5,6,7],[3,9],[8]]=>15
[1,3,4,5,6,8,7,9,2]=>[[1,2,3,4,5,6,8],[7],[9]]=>14
[1,3,4,5,6,7,8,10,9,2]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>17
[1,6,4,2,3,5,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>5
[1,8,7,2,3,4,5,6]=>[[1,2,5,6,7,8],[3],[4]]=>5
[1,5,8,6,2,3,4,7]=>[[1,2,3,7,8],[4,6],[5]]=>10
[1,6,5,7,2,3,4,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[1,7,5,6,2,3,4,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[1,3,2,7,6,4,5,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,2,3,7,6,4,5,8]=>[[1,2,3,4,7,8],[5],[6]]=>9
[1,5,4,2,3,7,6,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,5,4,2,3,8,6,7]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,3,2,8,6,4,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,7,5,8,2,3,4,6]=>[[1,2,4,7,8],[3,6],[5]]=>9
[1,8,7,5,2,3,4,6]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[2,1,5,8,6,3,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>11
[2,5,8,4,6,1,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>17
[2,5,3,8,6,1,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>16
[2,6,3,5,8,1,7,4]=>[[1,2,4,5],[3,7],[6,8]]=>16
[6,3,2,5,8,1,7,4]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[5,3,2,8,6,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[5,8,4,6,1,3,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[5,3,8,6,1,4,7,2]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[2,6,5,4,8,1,7,3]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[8,3,5,7,2,6,4,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[2,4,6,8,5,3,7,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[2,4,8,1,7,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[4,3,8,1,5,7,6,2]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[3,8,4,1,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[4,3,6,8,5,2,7,1]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[8,5,4,7,2,6,3,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[3,6,8,5,4,2,7,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[3,6,4,8,5,2,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[3,6,4,1,8,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>16
[3,6,4,1,5,2,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>12
[4,8,6,5,1,3,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[2,8,3,5,6,7,1,4]=>[[1,2,4,5,6],[3,8],[7]]=>13
[5,6,2,4,7,1,8,3]=>[[1,2,5,7],[3,4],[6,8]]=>15
[2,7,5,4,6,1,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[2,3,7,4,6,1,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>13
[2,6,7,4,1,3,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>14
[6,5,7,4,1,3,8,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[2,4,6,3,5,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>13
[4,1,6,3,5,7,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>9
[3,6,4,2,5,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[2,3,6,1,5,7,8,4]=>[[1,2,3,6,7],[4,5],[8]]=>13
[4,3,6,2,5,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[4,6,1,2,5,7,8,3]=>[[1,2,5,6,7],[3,4],[8]]=>11
[2,6,4,1,5,7,8,3]=>[[1,2,5,6,7],[3,8],[4]]=>10
[2,4,1,6,5,7,8,3]=>[[1,2,4,6,7],[3,5],[8]]=>12
[7,5,4,2,6,1,8,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[4,7,3,1,8,6,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[5,6,4,2,7,1,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[4,2,7,5,3,1,8,6]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[5,3,6,4,8,2,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[7,3,2,5,4,1,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[7,3,2,5,1,8,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[4,6,3,8,7,2,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[4,7,6,3,8,2,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[4,7,3,8,6,2,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[5,7,3,2,6,1,8,4]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[5,7,3,2,6,4,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[2,7,5,3,1,8,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[7,5,2,8,4,3,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[7,3,2,4,1,8,6,5]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[8,4,3,2,7,5,1,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[4,3,7,5,8,2,1,6]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[8,4,5,3,7,2,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[4,3,5,2,8,6,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[1,2,3,4,5,9,7,8,6]=>[[1,2,3,4,5,6,8],[7],[9]]=>14
[1,2,3,4,9,6,7,8,5]=>[[1,2,3,4,5,7,8],[6],[9]]=>13
[1,2,3,9,5,6,7,8,4]=>[[1,2,3,4,6,7,8],[5],[9]]=>12
[1,2,9,4,5,6,7,8,3]=>[[1,2,3,5,6,7,8],[4],[9]]=>11
[1,2,8,6,4,5,7,3]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[1,8,5,3,4,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[1,9,4,3,5,6,7,8,2]=>[[1,2,5,6,7,8],[3],[4],[9]]=>13
[3,5,6,7,8,9,4,2,1]=>[[1,2,3,4,5,6],[7],[8],[9]]=>21
[7,8,4,1,6,3,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[8,7,5,6,1,3,4,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[1,2,3,6,4,7,5,9,8]=>[[1,2,3,4,6,8],[5,7,9]]=>15
[1,2,3,4,6,8,5,7,9]=>[[1,2,3,4,5,6,9],[7,8]]=>12
[1,2,3,4,7,5,8,6,9]=>[[1,2,3,4,5,7,9],[6,8]]=>11
[1,2,3,4,7,5,8,6,10,9]=>[[1,2,3,4,5,7,9],[6,8,10]]=>18
[1,2,5,6,3,7,4,9,8]=>[[1,2,3,4,6,8],[5,7,9]]=>15
[1,2,3,6,4,7,5,9,8,10]=>[[1,2,3,4,6,8,10],[5,7,9]]=>15
[3,2,6,4,1,8,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>7
[2,8,6,5,3,1,4,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[5,4,8,6,2,3,1,7]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[4,8,7,5,2,3,1,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[5,2,4,7,6,8,3,1]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[3,4,2,8,7,5,1,6]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[8,5,7,6,3,2,4,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>21
[6,4,1,8,7,3,2,5]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[1,8,5,4,2,7,3,6]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[3,7,6,1,5,8,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[3,6,5,8,2,7,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[8,3,2,7,4,6,5,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[7,5,8,4,1,3,6,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[7,1,6,2,3,8,4,5]=>[[1,3,5,6,8],[2,7],[4]]=>7
[6,4,7,1,3,2,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[5,1,3,8,7,2,6,4]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[8,7,1,6,2,5,3,4]=>[[1,4,6,8],[2],[3],[5],[7]]=>13
[3,8,5,2,4,7,6,1]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[7,1,5,2,4,8,3,6]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[3,8,5,1,4,7,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[7,2,5,4,1,3,8,6]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[7,5,8,1,6,3,2,4]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[2,3,1,9,4,5,6,7,8]=>[[1,2,4,6,7,8,9],[3,5]]=>5
[4,9,1,2,3,5,6,7,8]=>[[1,2,5,6,7,8,9],[3,4]]=>4
[3,9,1,2,4,5,6,7,8]=>[[1,2,5,6,7,8,9],[3,4]]=>4
[6,8,1,9,2,3,4,5,7]=>[[1,2,4,7,8,9],[3,5,6]]=>8
[7,10,1,2,3,4,5,6,8,9]=>[[1,2,5,6,7,8,9,10],[3,4]]=>4
[6,10,1,2,3,4,5,7,8,9]=>[[1,2,5,6,7,8,9,10],[3,4]]=>4
[4,8,1,2,3,9,5,6,7]=>[[1,2,5,6,8,9],[3,4,7]]=>6
[3,8,1,2,4,5,9,6,7]=>[[1,2,5,6,7,9],[3,4,8]]=>7
[4,10,1,2,3,5,6,7,8,9]=>[[1,2,5,6,7,8,9,10],[3,4]]=>4
[3,10,1,2,4,5,6,7,8,9]=>[[1,2,5,6,7,8,9,10],[3,4]]=>4
[1,8,2,3,4,5,6,7,9]=>[[1,2,4,5,6,7,8,9],[3]]=>2
[7,4,6,1,3,2,5,8]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[1,4,5,8,6,3,2,7]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[8,4,5,7,2,6,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[4,5,2,6,7,3,1,8]=>[[1,2,4,5,8],[3,6],[7]]=>12
[8,1,7,5,3,6,2,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[5,2,8,3,6,1,4,7]=>[[1,3,5,8],[2,4],[6,7]]=>12
[5,2,6,3,1,7,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>8
[4,3,5,1,6,7,8,2]=>[[1,3,5,6,7],[2,8],[4]]=>8
[5,7,6,1,2,3,8,4]=>[[1,2,6,7],[3,5,8],[4]]=>9
[3,6,7,5,1,2,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>14
[1,7,6,8,5,2,4,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[5,7,6,8,1,2,4,3]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[5,6,3,7,1,4,8,2]=>[[1,2,4,7],[3,6],[5,8]]=>14
[5,3,2,1,8,6,4,7]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[1,8,7,6,5,4,3,2,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>27
[1,9,8,7,6,5,4,3,2,10]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>35
[2,8,9,7,6,5,4,3,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>33
[7,8,6,1,4,5,2,3]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[6,5,8,3,7,2,1,4]=>[[1,3],[2,5],[4,8],[6],[7]]=>18
[7,8,5,3,6,2,1,4]=>[[1,2],[3,5],[4,8],[6],[7]]=>21
[7,8,5,3,6,2,4,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>22
[7,8,4,3,2,6,5,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[1,8,4,3,2,6,7,5]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[5,4,3,8,2,1,7,6]=>[[1,4],[2,7],[3,8],[5],[6]]=>15
[6,4,8,3,2,1,7,5]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[1,8,4,3,2,7,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[1,8,6,7,3,2,4,5]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[7,8,6,1,3,2,4,5]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[1,8,4,3,2,7,5,6]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[5,4,3,8,2,1,6,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[1,8,4,3,2,5,7,6]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[5,4,3,8,2,6,7,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[6,4,2,3,5,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[5,2,3,6,1,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>10
[5,2,3,8,6,4,7,1]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[5,2,3,7,4,8,1,6]=>[[1,3,4,6],[2,5,8],[7]]=>12
[8,6,3,2,5,4,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[7,2,3,4,5,8,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>11
[7,2,8,1,5,3,4,6]=>[[1,3,7,8],[2,5],[4,6]]=>7
[3,8,6,4,7,2,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[2,1,8,6,4,5,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[4,8,2,5,7,3,1,6]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[5,8,2,3,4,7,1,6]=>[[1,2,5,6],[3,4],[7,8]]=>16
[6,3,4,7,8,2,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[3,8,5,1,4,7,6,2]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[4,8,5,1,3,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[4,6,8,5,2,7,3,1]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[3,7,8,5,2,6,4,1]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[3,8,6,2,7,4,5,1]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[8,5,4,7,1,3,6,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[7,3,6,2,8,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[8,1,5,2,3,7,6,4]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[6,4,2,3,7,8,5,1]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[8,4,2,3,6,7,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[4,5,8,3,7,2,1,6]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[3,7,2,8,4,5,1,6]=>[[1,2,4,8],[3,5,6],[7]]=>14
[3,5,1,8,4,6,2,7]=>[[1,2,4,8],[3,5,6],[7]]=>14
[4,2,1,5,6,8,3,7]=>[[1,4,5,6],[2,7,8],[3]]=>9
[4,1,2,6,5,8,3,7]=>[[1,3,4,6],[2,5,8],[7]]=>12
[4,1,8,3,2,6,7,5]=>[[1,3,6,7],[2,4],[5,8]]=>12
[4,2,7,5,8,1,3,6]=>[[1,3,5],[2,4,8],[6,7]]=>13
[4,6,2,7,8,3,1,5]=>[[1,2,4,5],[3,6,8],[7]]=>16
[4,6,1,3,8,2,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>10
[4,3,6,2,1,8,7,5]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[3,7,4,5,1,6,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[3,6,4,5,8,2,1,7]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[6,1,4,5,2,8,7,3]=>[[1,3,4,6],[2,7],[5,8]]=>12
[7,2,4,5,1,6,3,8]=>[[1,3,4,6,8],[2,7],[5]]=>8
[7,5,4,1,6,3,2,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[1,5,4,8,6,3,2,7]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[7,5,4,8,6,3,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[1,8,7,5,3,6,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[8,3,7,4,1,6,2,5]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[8,5,4,1,6,3,2,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[1,7,4,2,6,5,3,8]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[8,2,1,5,6,7,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>9
[6,3,1,8,4,7,2,5]=>[[1,4,6],[2,5,8],[3,7]]=>8
[7,1,4,8,6,3,2,5]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[4,1,8,5,6,7,2,3]=>[[1,3,5,6],[2,4,8],[7]]=>10
[5,7,4,8,6,2,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[5,3,6,8,2,7,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[6,3,7,4,8,2,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[5,3,6,1,4,7,2,8]=>[[1,3,6,8],[2,5],[4,7]]=>8
[4,3,6,8,2,7,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[5,3,7,4,8,2,1,6]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[5,3,8,4,1,6,2,7]=>[[1,3,6,8],[2,4],[5,7]]=>11
[5,3,8,1,4,7,2,6]=>[[1,3,6],[2,5,8],[4,7]]=>9
[5,8,4,1,6,3,2,7]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[7,3,8,4,1,6,2,5]=>[[1,3,6],[2,4,8],[5,7]]=>12
[1,5,8,3,6,7,4,2]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[1,8,2,5,6,7,3,4]=>[[1,2,4,5,6],[3,8],[7]]=>13
[7,8,4,1,6,5,2,3]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[6,3,8,1,5,7,2,4]=>[[1,3,6],[2,5,8],[4,7]]=>9
[8,3,1,2,5,7,4,6]=>[[1,4,5,6],[2,7,8],[3]]=>9
[8,1,4,2,6,5,3,7]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[2,8,9,1,3,4,5,6,7]=>[[1,2,3,7,8,9],[4,5,6]]=>9
[2,8,9,10,1,3,4,5,6,7]=>[[1,2,3,4,9,10],[5,6,7,8]]=>16
[7,1,8,2,9,3,4,5,6]=>[[1,3,5,7,8,9],[2,4,6]]=>3
[6,1,7,2,8,3,9,4,5]=>[[1,3,5,7,9],[2,4,6,8]]=>4
[5,1,6,2,7,3,8,4,9]=>[[1,3,5,7,9],[2,4,6,8]]=>4
[8,1,9,2,10,3,4,5,6,7]=>[[1,3,5,7,8,9,10],[2,4,6]]=>3
[7,1,8,2,3,9,4,5,6]=>[[1,3,5,6,8,9],[2,4,7]]=>4
[7,1,8,2,9,3,10,4,5,6]=>[[1,3,5,7,9,10],[2,4,6,8]]=>4
[5,1,6,2,7,3,9,4,8]=>[[1,3,5,7,9],[2,4,6,8]]=>4
[5,1,6,2,7,3,8,4,10,9]=>[[1,3,5,7,9],[2,4,6,8,10]]=>5
[4,1,5,2,7,3,8,6,9]=>[[1,3,5,7,9],[2,4,6,8]]=>4
[4,1,5,2,6,3,8,7,10,9]=>[[1,3,5,7,9],[2,4,6,8,10]]=>5
[5,1,3,7,4,8,2,6]=>[[1,3,4,6],[2,5,8],[7]]=>12
[5,1,3,4,7,8,2,6]=>[[1,3,4,5,6],[2,8],[7]]=>11
[2,5,8,7,4,3,6,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[5,1,7,8,3,4,2,6]=>[[1,3,4,8],[2,5,6],[7]]=>11
[2,5,4,8,3,7,6,1]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[5,6,8,2,3,4,1,7]=>[[1,2,3,8],[4,5,6],[7]]=>15
[2,3,5,7,4,6,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>15
[3,7,4,5,8,1,2,6]=>[[1,2,4,5],[3,7,8],[6]]=>15
[3,7,8,1,4,5,2,6]=>[[1,2,3,8],[4,5,6],[7]]=>15
[5,8,2,1,6,3,4,7]=>[[1,2,7,8],[3,5],[4,6]]=>10
[4,8,1,3,7,5,2,6]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[2,4,7,8,5,3,6,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[5,3,1,4,7,2,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>8
[2,4,7,5,8,3,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[4,3,5,8,2,1,7,6]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[4,8,5,3,7,1,2,6]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[4,8,5,7,3,1,2,6]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[4,8,7,5,1,3,2,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[3,7,8,4,1,5,2,6]=>[[1,2,3,8],[4,6],[5,7]]=>14
[1,8,5,7,2,4,3,6]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[1,8,5,4,2,3,6,7]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[1,3,6,8,5,4,2,7]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[1,6,3,8,2,7,4,5]=>[[1,2,4,8],[3,6],[5,7]]=>13
[1,8,2,3,6,7,5,4]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[1,3,6,8,2,7,5,4]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[1,6,5,4,3,8,2,7]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[1,8,3,4,5,6,2,7]=>[[1,2,4,5,6,8],[3],[7]]=>8
[1,8,3,6,2,4,5,7]=>[[1,2,4,7,8],[3,6],[5]]=>9
[1,4,5,8,3,6,2,7]=>[[1,2,3,4,8],[5,6],[7]]=>14
[1,2,7,8,4,5,3,6]=>[[1,2,3,4,8],[5,6],[7]]=>14
[7,2,8,5,6,3,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[7,6,3,8,5,4,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>22
[6,2,8,7,5,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[6,2,8,4,3,7,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[5,2,8,4,3,1,7,6]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[1,2,5,4,8,3,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>17
[1,4,3,6,8,7,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>18
[3,2,5,7,6,8,1,4]=>[[1,3,4,6],[2,5],[7,8]]=>15
[5,3,2,6,8,4,7,1]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[3,1,8,6,4,7,2,5]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[3,1,6,8,5,4,2,7]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[5,3,2,8,7,6,4,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[5,3,8,2,7,6,1,4]=>[[1,3],[2,5],[4,6],[7,8]]=>19
[6,5,4,8,3,7,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>21
[4,8,5,1,3,7,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[4,3,8,7,2,6,5,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[2,7,5,1,8,4,6,3]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[7,8,5,2,1,6,4,3]=>[[1,2],[3,6],[4,7],[5,8]]=>18
[7,6,4,8,1,2,5,3]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[7,5,4,8,3,2,6,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>20
[3,8,5,6,2,7,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[2,4,5,8,7,3,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[2,4,5,8,6,7,1,3]=>[[1,2,3,4,6],[5,8],[7]]=>15
[4,3,1,5,6,2,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>8
[4,1,5,8,6,7,2,3]=>[[1,3,4,6],[2,5,8],[7]]=>12
[4,3,7,6,1,2,8,5]=>[[1,3,7],[2,4,8],[5,6]]=>11
[4,7,5,6,1,2,8,3]=>[[1,2,4,7],[3,6,8],[5]]=>13
[4,3,7,5,6,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[4,5,1,8,6,7,3,2]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[3,4,5,8,6,7,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[2,1,5,8,6,7,4,3]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[3,4,5,8,7,1,2,6]=>[[1,2,3,4],[5,7,8],[6]]=>17
[4,7,1,5,6,2,8,3]=>[[1,2,5,7],[3,4,8],[6]]=>11
[2,6,4,7,1,3,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>13
[5,3,8,6,4,7,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[6,4,1,5,7,8,3,2]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[3,6,4,7,2,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[3,8,4,6,1,7,2,5]=>[[1,2,4,6],[3,7,8],[5]]=>14
[3,8,5,6,4,7,2,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>19
[3,8,4,5,6,7,2,1]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[3,8,6,5,2,7,4,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[3,8,7,5,2,1,4,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[3,8,6,5,1,7,2,4]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[6,4,1,7,3,2,8,5]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[5,1,4,6,7,2,8,3]=>[[1,3,4,5,7],[2,8],[6]]=>10
[6,5,4,7,1,3,8,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[2,1,6,5,3,7,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>8
[6,1,4,7,2,3,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>10
[2,1,3,4,5,6,8,9,7]=>[[1,3,4,5,6,7,8],[2,9]]=>7
[2,1,3,4,5,6,7,9,8]=>[[1,3,4,5,6,7,8],[2,9]]=>7
[2,3,1,4,5,6,8,9,7]=>[[1,2,4,5,6,7,8],[3,9]]=>9
[1,3,2,4,5,6,8,9,7]=>[[1,2,4,5,6,7,8],[3,9]]=>9
[2,3,1,4,5,6,7,9,8]=>[[1,2,4,5,6,7,8],[3,9]]=>9
[1,3,2,4,5,6,7,9,8]=>[[1,2,4,5,6,7,8],[3,9]]=>9
[1,6,2,5,4,8,3,7]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[4,1,2,7,5,8,3,6]=>[[1,3,4,6],[2,5,8],[7]]=>12
[6,1,3,5,8,2,4,7]=>[[1,3,4,5],[2,7,8],[6]]=>12
[5,6,4,3,1,8,2,7]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[6,2,3,5,8,1,4,7]=>[[1,3,4,5],[2,7,8],[6]]=>12
[6,7,2,3,8,4,5,1]=>[[1,2,5,7],[3,4,6],[8]]=>12
[6,7,2,1,3,8,4,5]=>[[1,2,6,8],[3,5,7],[4]]=>8
[5,7,4,1,8,3,2,6]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[4,1,7,5,8,3,6,2]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[6,7,1,3,8,4,5,2]=>[[1,2,5,7],[3,4,6],[8]]=>12
[1,6,7,4,3,8,5,2]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[6,1,7,4,2,8,5,3]=>[[1,3,6],[2,4,7],[5,8]]=>13
[2,1,6,7,4,3,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>11
[6,7,3,2,1,8,4,5]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[2,5,7,3,1,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>14
[6,7,3,2,8,4,5,1]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[1,2,6,7,4,3,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>14
[2,7,1,8,4,6,3,5]=>[[1,2,4],[3,5,6],[7,8]]=>20
[2,7,5,8,1,6,3,4]=>[[1,2,4],[3,6,8],[5,7]]=>16
[6,7,1,8,4,5,3,2]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[8,3,7,6,1,2,5,4]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[8,7,3,4,6,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[8,2,5,7,1,4,6,3]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[8,2,4,7,1,5,6,3]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[8,2,3,4,7,1,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>9
[8,7,3,5,6,2,4,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[8,7,4,6,5,2,3,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>20
[8,4,6,7,5,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[8,4,6,7,5,1,3,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[8,3,5,7,6,1,4,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[8,7,3,6,2,1,5,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>15
[8,7,3,4,6,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[8,7,4,6,5,2,1,3]=>[[1,4],[2,8],[3],[5],[6],[7]]=>19
[8,6,5,2,7,4,3,1]=>[[1,5],[2,6],[3],[4],[7],[8]]=>20
[8,4,3,7,6,5,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[8,5,6,7,4,1,3,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[8,5,7,6,4,1,2,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[8,4,2,7,5,1,6,3]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[8,3,4,2,7,5,6,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[8,4,7,6,5,1,2,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[8,3,5,2,7,4,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[8,5,2,6,7,4,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[8,5,3,7,6,4,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[8,6,2,5,7,3,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[8,6,2,4,7,3,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[8,5,2,3,7,4,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[8,5,3,2,7,6,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[8,6,1,5,4,3,2,7]=>[[1,4,8],[2],[3],[5],[6],[7]]=>18
[2,4,5,8,3,1,6,7]=>[[1,2,3,4,8],[5,7],[6]]=>13
[2,7,4,6,1,5,8,3]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[2,4,3,8,5,1,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>10
[7,8,3,2,5,4,6,1]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[1,5,6,7,3,8,2,4]=>[[1,2,3,4,6],[5,8],[7]]=>15
[1,6,5,4,8,3,2,7]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[1,7,3,5,8,4,6,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[7,2,1,6,4,8,5,3]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[7,5,8,3,2,4,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[3,8,7,2,4,6,5,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[1,3,7,6,4,8,5,2]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[3,1,8,7,6,4,2,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[3,1,8,7,5,4,2,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[3,1,7,6,5,4,2,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[4,7,1,6,5,3,2,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[4,8,1,6,5,3,2,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[8,4,1,7,6,3,2,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[5,4,1,8,6,3,2,7]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[5,4,1,7,6,3,2,8]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[6,4,1,8,5,3,2,7]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[8,4,1,7,5,3,2,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[7,4,1,6,5,3,2,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[7,5,6,1,4,3,2,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[8,5,6,1,4,3,2,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[8,5,7,1,4,3,2,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[5,7,6,1,4,3,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[5,8,6,1,4,3,2,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[6,7,5,1,4,3,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[8,7,5,1,4,3,2,6]=>[[1,5,8],[2],[3],[4],[6],[7]]=>17
[8,6,5,1,4,3,2,7]=>[[1,5,8],[2],[3],[4],[6],[7]]=>17
[8,6,1,7,2,5,3,4]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[1,8,6,3,4,2,5,7]=>[[1,2,5,7,8],[3],[4],[6]]=>10
[3,1,6,4,5,8,2,7]=>[[1,3,5,6],[2,4,8],[7]]=>10
[7,6,3,8,4,5,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[8,2,7,6,1,4,3,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[5,2,7,8,1,4,3,6]=>[[1,3,4],[2,6,8],[5,7]]=>12
[5,6,3,8,4,1,2,7]=>[[1,2,4],[3,5,8],[6,7]]=>18
[8,2,7,6,1,4,5,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[5,2,3,4,7,1,6,8]=>[[1,3,4,5,8],[2,7],[6]]=>9
[5,2,3,7,1,6,8,4]=>[[1,3,4,7],[2,6],[5,8]]=>11
[8,7,5,3,1,6,4,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[1,4,7,8,5,2,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>17
[5,8,3,7,6,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[6,5,1,7,2,4,8,3]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[3,6,7,1,4,2,5,8]=>[[1,2,3,8],[4,5,7],[6]]=>14
[4,7,5,8,2,1,3,6]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[8,1,2,7,5,4,3,6]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[6,5,1,8,3,7,2,4]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[1,8,7,5,3,2,6,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[7,8,1,5,4,2,3,6]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[3,4,6,8,1,5,7,2]=>[[1,2,3,4],[5,6,7],[8]]=>19
[6,8,1,7,5,4,2,3]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[7,6,3,1,2,8,5,4]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[6,3,5,7,1,4,2,8]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[1,7,5,2,6,4,8,3]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[7,1,3,6,8,2,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>12
[1,2,5,7,8,4,6,3]=>[[1,2,3,4,5],[6,7],[8]]=>17
[3,1,2,7,5,4,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>11
[6,7,4,1,3,2,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[1,7,2,8,4,3,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,6,3,5,7,8,2,4]=>[[1,2,4,5,6],[3,8],[7]]=>13
[8,6,1,7,5,2,4,3]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[7,6,4,1,8,3,2,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[8,4,1,6,5,2,7,3]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[1,5,3,4,7,8,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>13
[4,2,1,5,7,8,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>9
[5,4,1,6,7,8,2,3]=>[[1,4,5,6],[2,7,8],[3]]=>9
[5,1,4,6,7,8,2,3]=>[[1,3,4,5,6],[2,8],[7]]=>11
[4,1,5,3,7,8,2,6]=>[[1,3,5,6],[2,4,8],[7]]=>10
[8,1,4,6,5,2,7,3]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[7,1,5,4,6,3,2,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>15
[8,2,1,6,7,5,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[1,2,4,7,6,3,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>14
[6,7,4,1,8,5,2,3]=>[[1,2,5],[3,6,8],[4,7]]=>15
[8,6,4,1,5,7,3,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[5,2,4,3,7,1,6,8]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[6,1,5,4,8,3,2,7]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[1,2,8,7,4,3,6,5]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[3,2,1,7,5,8,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>8
[1,3,6,4,7,8,2,5]=>[[1,2,3,5,6],[4,8],[7]]=>14
[4,5,1,3,7,8,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>12
[5,2,3,1,7,8,4,6]=>[[1,3,5,6],[2,7,8],[4]]=>10
[1,6,4,3,7,8,2,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[7,6,4,3,1,5,2,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[7,5,4,6,1,3,2,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[8,4,6,5,1,2,7,3]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[1,5,6,3,7,8,2,4]=>[[1,2,3,5,6],[4,8],[7]]=>14
[1,5,2,4,3,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>15
[8,6,5,7,2,1,4,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>15
[1,6,3,8,4,5,7,2]=>[[1,2,4,6,7],[3,5],[8]]=>12
[7,5,4,2,6,3,8,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[9,7,6,5,4,3,1,2,8]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>21
[2,4,3,5,6,7,8,9,1]=>[[1,2,4,5,6,7,8],[3],[9]]=>10
[2,3,8,4,7,5,6,1]=>[[1,2,3,5,7],[4],[6],[8]]=>15
[3,7,2,8,6,4,5,1]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[6,3,7,5,8,2,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[4,3,7,8,6,2,5,1]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[3,8,1,7,5,2,4,6]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[2,4,7,8,6,1,5,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[2,4,8,5,1,7,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>15
[2,8,3,5,1,6,4,7]=>[[1,2,4,6,8],[3,7],[5]]=>10
[8,2,4,6,3,7,5,1]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[4,5,3,8,2,1,7,6]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[1,4,6,2,7,5,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>13
[8,2,1,4,5,6,7,3]=>[[1,4,5,6,7],[2,8],[3]]=>7
[7,3,1,2,5,6,4,8]=>[[1,4,5,6,8],[2,7],[3]]=>6
[7,8,2,1,5,4,6,3]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[1,4,8,5,2,6,3,7]=>[[1,2,3,6,8],[4,7],[5]]=>11
[5,2,3,7,8,1,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>13
[1,2,8,4,3,6,7,5]=>[[1,2,3,6,7],[4,8],[5]]=>12
[1,2,7,5,3,4,6,8]=>[[1,2,3,6,7,8],[4],[5]]=>7
[1,7,3,2,6,8,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>13
[7,2,1,3,6,8,4,5]=>[[1,4,5,6],[2,7,8],[3]]=>9
[4,7,8,1,6,5,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[3,5,8,6,1,4,2,7]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[1,8,4,2,7,6,3,5]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[7,3,8,1,6,5,4,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[7,3,8,2,6,5,4,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[7,1,3,8,6,5,4,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[8,1,3,7,6,5,4,2]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23
[2,4,1,8,7,3,6,5]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[7,3,8,6,1,5,4,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[3,5,1,7,8,2,6,4]=>[[1,2,4,5],[3,6,7],[8]]=>17
[5,4,7,8,2,1,6,3]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[6,3,8,7,1,5,4,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[8,6,4,7,1,5,3,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[3,4,6,2,1,8,5,7]=>[[1,2,3,6],[4,7,8],[5]]=>15
[4,5,7,2,1,6,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>14
[5,6,4,8,3,2,1,7]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[5,7,4,8,2,1,6,3]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[4,7,5,8,2,1,6,3]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[5,7,4,2,6,3,8,1]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[5,7,4,1,6,2,8,3]=>[[1,2,7],[3,5,8],[4,6]]=>11
[8,5,6,1,7,3,2,4]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[4,5,1,6,7,8,3,2]=>[[1,2,4,5,6],[3,7],[8]]=>14
[4,5,2,6,1,3,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>13
[8,4,6,7,2,5,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[7,1,4,6,8,3,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[6,7,1,2,4,8,5,3]=>[[1,2,5,6],[3,4,7],[8]]=>13
[1,6,3,4,7,8,5,2]=>[[1,2,4,5,6],[3,7],[8]]=>14
[2,3,6,4,7,5,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>14
[7,8,1,3,4,5,6,2]=>[[1,2,5,6,7],[3,4],[8]]=>11
[1,8,2,6,7,3,4,5]=>[[1,2,4,5,8],[3,7],[6]]=>11
[4,7,3,2,8,1,5,6]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[7,1,2,6,3,8,5,4]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[8,1,2,6,3,7,5,4]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[8,1,2,7,6,3,5,4]=>[[1,3,4,7],[2],[5],[6],[8]]=>17
[4,8,7,3,1,6,2,5]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[4,7,8,3,1,6,2,5]=>[[1,2,3],[4,6,8],[5,7]]=>17
[7,4,3,1,6,2,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[7,4,3,1,8,6,2,5]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[3,7,6,2,4,8,1,5]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[4,3,7,2,8,6,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[6,1,2,7,4,3,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>11
[5,1,2,6,3,8,7,4]=>[[1,3,4,6],[2,5,7],[8]]=>13
[5,1,2,7,3,8,6,4]=>[[1,3,4,6],[2,5,7],[8]]=>13
[6,1,2,7,3,5,8,4]=>[[1,3,4,6,7],[2,5],[8]]=>10
[7,5,3,2,1,8,6,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[4,2,1,5,3,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[8,6,4,3,2,1,9,7,5]=>[[1,7],[2,8],[3,9],[4],[5],[6]]=>18
[7,5,3,1,8,6,4,2,9]=>[[1,5,9],[2,6],[3,7],[4,8]]=>12
[7,4,1,8,5,2,9,6,3]=>[[1,4,7],[2,5,8],[3,6,9]]=>9
[5,3,1,6,4,2,7,8,9]=>[[1,4,7,8,9],[2,5],[3,6]]=>6
[4,1,5,2,6,3,7,8,9]=>[[1,3,5,7,8,9],[2,4,6]]=>3
[3,1,4,2,5,6,7,8,9]=>[[1,3,5,6,7,8,9],[2,4]]=>2
[9,7,5,4,3,2,1,10,8,6]=>[[1,8],[2,9],[3,10],[4],[5],[6],[7]]=>24
[7,5,3,1,8,6,4,2,9,10]=>[[1,5,9,10],[2,6],[3,7],[4,8]]=>12
[7,4,1,8,5,2,9,6,3,10]=>[[1,4,7,10],[2,5,8],[3,6,9]]=>9
[5,3,1,6,4,2,7,8,9,10]=>[[1,4,7,8,9,10],[2,5],[3,6]]=>6
[5,1,6,2,7,3,8,4,9,10]=>[[1,3,5,7,9,10],[2,4,6,8]]=>4
[4,1,5,2,6,3,7,8,9,10]=>[[1,3,5,7,8,9,10],[2,4,6]]=>3
[3,1,4,2,5,6,7,8,9,10]=>[[1,3,5,6,7,8,9,10],[2,4]]=>2
[6,2,5,4,1,8,7,3]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[4,6,3,2,1,8,7,5]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[6,5,3,2,1,8,7,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[8,4,3,2,7,6,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[1,5,8,4,7,6,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[3,2,7,4,8,6,1,5]=>[[1,3,5],[2,4,6],[7,8]]=>15
[7,4,3,2,8,6,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[6,8,3,7,5,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[5,7,8,4,3,2,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[6,4,3,8,5,2,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[8,2,5,4,7,6,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[7,2,5,4,8,6,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[4,5,3,2,8,6,1,7]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[3,2,5,4,8,6,1,7]=>[[1,3,5,8],[2,4,6],[7]]=>9
[3,2,8,6,5,4,1,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[8,4,3,6,5,2,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[8,4,3,7,5,2,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[3,2,7,8,5,4,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[6,8,7,4,3,2,1,5]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[3,6,1,4,8,7,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>17
[5,8,1,3,7,2,6,4]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[4,7,5,1,8,2,6,3]=>[[1,2,5],[3,6,7],[4,8]]=>16
[6,3,2,1,8,7,4,5]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[6,2,3,1,8,7,4,5]=>[[1,3,5,8],[2,6],[4,7]]=>9
[7,2,5,1,8,3,6,4]=>[[1,3,5],[2,6,7],[4,8]]=>12
[7,2,1,5,8,4,6,3]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[4,2,8,1,7,5,6,3]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[7,3,1,5,2,8,6,4]=>[[1,4,6],[2,5,7],[3,8]]=>9
[7,1,6,4,2,8,5,3]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[3,7,4,1,5,8,6,2]=>[[1,2,5,6],[3,7],[4,8]]=>14
[5,8,6,1,2,7,4,3]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[6,8,1,4,3,7,5,2]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[6,7,1,4,3,8,5,2]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[4,7,1,5,3,8,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[6,8,1,2,4,7,5,3]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[7,1,6,4,8,3,5,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[8,6,4,1,3,7,5,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[8,5,3,6,1,7,4,2]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[7,2,1,4,5,8,6,3]=>[[1,4,5,6],[2,7],[3,8]]=>10
[8,5,6,1,2,7,4,3]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[8,6,2,5,4,7,3,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>20
[8,5,7,3,2,4,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[8,5,2,1,4,3,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[2,8,4,1,3,6,7,5]=>[[1,2,6,7],[3,5,8],[4]]=>9
[8,1,2,4,5,6,7,3]=>[[1,3,4,5,6,7],[2],[8]]=>8
[6,1,4,3,2,7,8,5]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[1,8,3,6,7,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>15
[1,2,8,3,7,4,6,5]=>[[1,2,3,5,7],[4],[6],[8]]=>15
[1,9,2,3,4,5,6,7,8,10]=>[[1,2,4,5,6,7,8,9,10],[3]]=>2
[1,7,2,3,4,5,6,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>2
[8,2,6,5,4,3,1,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>19
[8,2,7,6,4,5,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>21
[8,7,3,5,4,2,6,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>19
[4,6,7,2,1,8,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>15
[3,7,1,8,2,5,4,6]=>[[1,2,4,8],[3,5,6],[7]]=>14
[4,5,8,6,1,3,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[4,5,8,6,2,7,3,1]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[4,6,7,1,5,3,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[4,6,7,2,1,8,5,3]=>[[1,2,3,6],[4,7],[5,8]]=>16
[4,2,5,6,7,8,3,1]=>[[1,3,4,5,6],[2,7],[8]]=>12
[4,1,3,5,6,7,8,2]=>[[1,3,4,5,6,7],[2],[8]]=>8
[3,7,8,4,5,1,6,2]=>[[1,2,3,7],[4,5],[6,8]]=>17
[4,6,8,3,2,7,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[4,6,8,2,3,7,1,5]=>[[1,2,3],[4,5,6],[7,8]]=>21
[3,8,1,7,4,5,2,6]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[4,5,8,3,7,1,2,6]=>[[1,2,3],[4,5,8],[6,7]]=>19
[3,7,8,4,6,2,5,1]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[3,6,1,5,7,8,2,4]=>[[1,2,5,6],[3,4,8],[7]]=>12
[3,8,2,5,4,7,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[3,8,6,2,5,1,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[4,5,8,6,2,1,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[4,5,8,6,1,2,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>14
[4,6,8,5,2,7,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[3,7,8,5,2,6,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[3,7,8,5,4,1,6,2]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[4,6,8,5,3,1,7,2]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[7,8,2,3,5,4,1,6]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[4,6,5,2,7,8,1,3]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[1,6,5,2,3,4,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>10
[4,6,5,1,7,3,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[5,7,3,1,2,4,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>9
[6,3,2,5,1,7,4,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[6,1,2,4,8,5,3,7]=>[[1,3,4,5,8],[2,6],[7]]=>10
[6,3,1,7,2,5,8,4]=>[[1,4,6,7],[2,5],[3,8]]=>8
[3,6,5,8,1,7,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>16
[1,2,3,4,5,6,8,7,9]=>[[1,2,3,4,5,6,7,9],[8]]=>7
[1,2,3,4,5,6,7,9,8,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>8
[1,2,3,4,5,7,6,8,9]=>[[1,2,3,4,5,6,8,9],[7]]=>6
[9,2,3,4,5,6,7,1,8]=>[[1,3,4,5,6,7,9],[2],[8]]=>8
[5,2,7,3,4,6,1,8]=>[[1,3,5,6,8],[2,4],[7]]=>8
[1,3,5,8,6,4,7,2]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[1,3,5,8,6,7,2,4]=>[[1,2,3,4,6],[5,8],[7]]=>15
[6,1,7,4,8,5,3,2]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[5,7,4,1,3,6,8,2]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[7,4,3,1,6,5,8,2]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[7,8,1,4,6,5,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[7,8,6,1,4,5,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[6,2,7,3,8,5,4,1]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[1,2,7,5,3,4,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>12
[7,2,8,3,6,4,5,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[6,2,7,8,3,1,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>10
[1,7,8,2,5,3,4,6]=>[[1,2,3,7,8],[4,5],[6]]=>11
[1,2,8,7,3,4,6,5]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[8,2,7,4,5,1,6,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[3,8,1,5,7,2,6,4]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[7,5,4,8,6,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[7,1,8,6,4,5,2,3]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[8,7,5,1,4,3,6,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18
[6,8,4,3,1,7,2,5]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[8,4,1,3,7,5,6,2]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[4,8,1,3,7,5,6,2]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[2,1,6,8,5,3,4,7]=>[[1,3,4,8],[2,5,7],[6]]=>10
[4,5,1,3,8,6,7,2]=>[[1,2,5,7],[3,4,6],[8]]=>12
[1,2,6,8,5,3,4,7]=>[[1,2,3,4,8],[5,7],[6]]=>13
[5,6,8,7,3,1,2,4]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[6,7,5,3,8,1,2,4]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[6,8,5,7,3,1,2,4]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[5,1,4,2,6,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>11
[6,3,2,4,7,1,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[1,5,8,6,2,4,3,7]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[5,1,8,6,2,4,3,7]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[5,8,6,3,7,1,2,4]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[5,7,6,3,8,1,2,4]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[6,8,7,5,3,1,2,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[1,2,5,3,6,8,7,4]=>[[1,2,3,5,6],[4,7],[8]]=>15
[6,8,7,2,1,5,3,4]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[7,3,6,1,4,8,2,5]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[7,8,1,6,5,3,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[8,7,3,2,1,4,6,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[8,3,5,1,7,4,2,6]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[3,5,6,8,4,2,7,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[5,8,2,6,4,3,7,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[2,8,6,3,4,1,7,5]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[1,7,2,3,5,8,6,4]=>[[1,2,4,5,6],[3,7],[8]]=>14
[2,8,3,7,5,1,6,4]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[6,4,8,7,2,1,5,3]=>[[1,3],[2,4],[5,7],[6,8]]=>20
[1,8,2,3,7,5,6,4]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[2,8,4,3,6,7,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[7,3,2,5,6,1,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[1,6,7,8,2,4,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>18
[4,1,2,8,5,3,7,6]=>[[1,3,4,7],[2,5,8],[6]]=>11
[3,8,4,2,5,1,7,6]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[1,8,5,6,4,3,2,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[2,8,3,5,6,4,1,7]=>[[1,2,4,5,8],[3],[6],[7]]=>13
[7,6,8,3,2,5,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>17
[2,7,1,4,5,3,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>11
[1,5,2,7,4,3,6,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[5,1,3,8,4,6,2,7]=>[[1,3,4,6,8],[2,5],[7]]=>9
[6,5,8,7,1,3,2,4]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[2,7,3,5,1,6,8,4]=>[[1,2,4,6,7],[3,8],[5]]=>11
[5,7,6,8,2,1,4,3]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[1,3,6,5,2,7,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[1,2,6,5,3,4,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>7
[1,7,2,5,6,8,3,4]=>[[1,2,4,5,6],[3,8],[7]]=>13
[1,7,2,4,8,3,5,6]=>[[1,2,4,5,8],[3,7],[6]]=>11
[1,6,2,4,5,3,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>7
[1,3,2,8,4,5,7,6]=>[[1,2,4,6,7],[3,5],[8]]=>12
[1,6,8,2,4,3,5,7]=>[[1,2,3,7,8],[4,5],[6]]=>11
[1,6,7,2,5,3,4,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[1,2,8,3,6,7,4,5]=>[[1,2,3,5,6],[4,8],[7]]=>14
[1,7,2,5,3,4,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>11
[7,1,5,6,2,3,8,4]=>[[1,3,4,7],[2,6,8],[5]]=>10
[8,2,1,4,6,7,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>9
[7,2,6,1,3,4,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>7
[4,1,3,7,2,5,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>10
[6,2,7,5,1,3,8,4]=>[[1,3,7],[2,4,8],[5,6]]=>11
[1,7,5,6,2,3,8,4]=>[[1,2,4,7],[3,6,8],[5]]=>13
[3,7,6,1,2,4,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>9
[8,6,1,3,5,7,2,4]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[1,7,4,3,8,2,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[6,1,5,3,4,8,2,7]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[3,6,7,5,2,8,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[7,8,4,1,5,6,2,3]=>[[1,2,6],[3,5,8],[4,7]]=>12
[5,8,1,3,6,7,2,4]=>[[1,2,5,6],[3,4],[7,8]]=>16
[2,8,4,3,7,1,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[3,8,4,6,7,1,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>15
[6,3,8,4,7,1,2,5]=>[[1,3,5],[2,4,8],[6,7]]=>13
[1,2,5,4,8,3,6,7]=>[[1,2,3,5,8],[4,7],[6]]=>12
[7,1,3,8,2,4,5,6]=>[[1,3,4,7,8],[2,6],[5]]=>7
[8,1,3,7,2,4,5,6]=>[[1,3,4,7,8],[2,6],[5]]=>7
[3,5,4,7,8,1,2,6]=>[[1,2,4,5],[3,7,8],[6]]=>15
[8,3,1,4,7,2,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>7
[1,6,4,7,8,2,3,5]=>[[1,2,4,5],[3,7,8],[6]]=>15
[5,2,3,6,7,8,1,4]=>[[1,3,4,5,6],[2,8],[7]]=>11
[6,2,7,3,8,5,1,4]=>[[1,3,5],[2,4,6],[7,8]]=>15
[1,3,7,8,5,6,2,4]=>[[1,2,3,4],[5,6],[7,8]]=>20
[8,2,6,7,5,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[8,1,7,4,6,2,3,5]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[2,5,8,4,7,1,3,6]=>[[1,2,3],[4,5,8],[6,7]]=>19
[4,5,8,7,1,2,3,6]=>[[1,2,3,8],[4,6,7],[5]]=>13
[4,1,8,5,7,2,3,6]=>[[1,3,5,8],[2,4,7],[6]]=>8
[1,8,7,4,6,2,3,5]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[2,6,5,4,1,8,3,7]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[6,2,5,1,4,8,3,7]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[6,5,4,1,3,8,2,7]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[6,3,5,4,2,8,1,7]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[1,3,8,7,4,2,6,5]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[8,7,4,3,1,5,2,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,2,5,1,4,6,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[3,8,4,5,1,6,7,2]=>[[1,2,4,6,7],[3,8],[5]]=>11
[8,5,4,1,3,6,7,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[8,3,1,7,5,6,4,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[8,4,7,6,5,3,1,2]=>[[1,3],[2,8],[4],[5],[6],[7]]=>20
[8,1,4,5,7,6,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[2,4,1,8,5,7,6,3]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[8,2,1,4,7,6,3,5]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[8,3,1,7,4,2,6,5]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[8,2,7,3,1,6,5,4]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[1,8,4,2,3,7,6,5]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[3,1,2,8,7,4,6,5]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[8,5,1,2,4,3,7,6]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[2,8,3,7,4,1,6,5]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[8,4,5,7,6,2,3,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[2,3,1,8,7,6,4,5]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[4,2,8,7,3,1,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[1,3,4,8,7,2,5,6]=>[[1,2,3,4,8],[5,7],[6]]=>13
[8,1,3,4,6,7,2,5]=>[[1,3,4,5,6],[2,8],[7]]=>11
[3,4,8,2,6,7,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>18
[3,6,8,2,5,1,7,4]=>[[1,2,3],[4,5,7],[6,8]]=>20
[3,8,2,5,7,4,6,1]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[8,4,2,1,7,5,6,3]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[8,2,7,5,6,4,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[6,2,8,5,4,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[6,8,5,4,1,7,2,3]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[2,8,1,5,7,6,3,4]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[3,1,8,2,7,5,6,4]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[8,5,7,1,6,4,2,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[2,8,4,7,3,6,5,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[8,4,7,2,1,6,5,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>18
[1,8,4,7,6,5,2,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[3,5,8,1,7,4,6,2]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[8,4,7,1,3,6,5,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[2,3,4,7,6,8,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>15
[3,8,1,2,5,6,4,7]=>[[1,2,5,6,8],[3,4],[7]]=>10
[8,5,2,1,4,6,7,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[4,8,1,6,5,2,7,3]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[4,2,6,3,8,5,7,1]=>[[1,3,5,7],[2,4,6],[8]]=>10
[4,5,2,6,7,1,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>12
[8,3,5,4,2,7,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[2,8,6,4,7,3,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[3,1,8,6,5,2,7,4]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[8,3,1,5,2,6,7,4]=>[[1,4,6,7],[2,5,8],[3]]=>6
[3,8,2,4,1,5,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>14
[5,8,3,2,4,1,7,6]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[7,2,6,8,4,3,5,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[6,5,3,2,4,8,1,7]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[5,2,4,6,1,3,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>10
[7,2,3,4,6,8,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>11
[8,3,4,6,7,5,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[6,8,3,4,7,5,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[5,8,6,1,3,4,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[4,8,1,5,7,6,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[3,7,4,6,8,2,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[4,7,1,6,8,3,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[4,5,2,8,1,7,3,6]=>[[1,2,4],[3,6,8],[5,7]]=>16
[3,7,5,2,8,6,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[4,8,5,2,6,7,1,3]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[5,4,8,6,1,2,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>11
[8,4,6,5,2,7,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[8,1,6,4,7,5,2,3]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[5,2,7,6,4,8,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[8,6,2,3,5,1,7,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[8,2,5,7,4,1,3,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[7,2,4,5,6,8,1,3]=>[[1,3,4,5,6],[2,8],[7]]=>11
[7,1,3,5,6,2,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>10
[7,1,5,8,4,6,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[6,3,8,4,7,1,5,2]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[7,1,4,3,2,8,5,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[5,3,6,1,4,2,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>8
[5,7,2,1,4,3,8,6]=>[[1,2,7],[3,5,8],[4,6]]=>11
[7,1,8,3,5,2,4,6]=>[[1,3,5,8],[2,4],[6,7]]=>12
[7,2,4,8,1,5,6,3]=>[[1,3,4,7],[2,6],[5,8]]=>11
[7,1,8,4,2,5,6,3]=>[[1,3,6,7],[2,4],[5,8]]=>12
[6,4,2,5,8,1,7,3]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[2,1,7,5,8,3,6,4]=>[[1,3,5],[2,4,7],[6,8]]=>14
[7,3,8,5,6,2,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[2,7,4,8,1,5,6,3]=>[[1,2,4,7],[3,6],[5,8]]=>14
[7,4,8,3,1,5,6,2]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[6,1,5,8,3,7,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[2,6,3,5,8,7,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[8,6,5,3,7,2,1,4]=>[[1,5],[2,8],[3],[4],[6],[7]]=>18
[4,8,5,3,7,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[7,4,8,6,5,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>24
[7,4,8,5,6,3,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[7,8,4,1,3,5,6,2]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[7,8,3,4,1,5,6,2]=>[[1,2,6,7],[3,4],[5,8]]=>14
[7,3,1,8,2,5,6,4]=>[[1,4,6,7],[2,5],[3,8]]=>8
[7,2,3,8,1,5,6,4]=>[[1,3,4,7],[2,6],[5,8]]=>11
[6,4,8,7,3,2,1,5]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[2,7,4,8,6,3,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[6,4,8,2,3,1,7,5]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[7,2,1,8,3,5,6,4]=>[[1,4,6,7],[2,5],[3,8]]=>8
[5,1,6,3,8,2,4,7]=>[[1,3,5,8],[2,4,7],[6]]=>8
[3,6,5,1,4,8,7,2]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[7,3,6,2,8,4,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[7,5,4,8,1,6,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[4,3,5,8,7,1,2,6]=>[[1,3,4],[2,5,8],[6,7]]=>15
[3,5,6,8,1,4,2,7]=>[[1,2,3,4],[5,6,8],[7]]=>18
[4,3,5,8,2,1,6,7]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[6,4,7,2,3,1,5,8]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[6,8,1,5,4,2,7,3]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[7,8,6,3,1,4,2,5]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[7,8,6,3,5,1,2,4]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[7,2,8,5,4,6,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[6,1,8,4,7,2,3,5]=>[[1,3,5,8],[2,4],[6,7]]=>12
[5,6,4,3,7,1,8,2]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[6,5,3,7,2,4,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[5,6,2,8,4,3,7,1]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[7,1,3,6,5,8,4,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[5,7,4,3,6,8,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[4,6,2,7,8,3,5,1]=>[[1,2,4,5],[3,6,7],[8]]=>17
[5,1,2,4,6,7,8,3]=>[[1,3,4,5,6,7],[2],[8]]=>8
[4,6,3,5,2,8,7,1]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[5,6,3,4,8,2,7,1]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[5,2,6,4,1,7,8,3]=>[[1,3,6,7],[2,4],[5,8]]=>12
[5,8,4,6,3,2,7,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[5,4,3,8,6,2,7,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[5,7,8,2,4,3,6,1]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[5,6,2,4,8,3,7,1]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[6,4,7,8,2,3,5,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[3,7,5,2,4,8,1,6]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[4,7,5,2,3,8,6,1]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[6,4,7,3,2,5,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[5,7,3,2,8,4,6,1]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[5,3,7,2,8,4,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[4,3,7,2,5,8,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[4,7,3,2,5,8,6,1]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[4,7,3,2,6,8,5,1]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[7,5,3,2,6,4,8,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[8,5,2,6,7,3,4,1]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[8,4,2,6,3,7,5,1]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[7,4,6,2,3,8,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[7,5,6,2,8,3,4,1]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[5,7,6,2,8,3,4,1]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[4,7,6,2,3,8,5,1]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[7,6,3,2,5,8,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[7,6,4,2,5,8,3,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[6,3,8,5,4,7,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[1,3,2,4,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>2
[1,4,2,3,5,6,7,8,9]=>[[1,2,4,5,6,7,8,9],[3]]=>2
[1,3,2,4,5,6,7,8,9,10]=>[[1,2,4,5,6,7,8,9,10],[3]]=>2
[2,4,6,3,8,7,5,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[2,4,3,6,8,7,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>18
[2,4,6,3,8,7,1,5]=>[[1,2,3,5],[4,6],[7,8]]=>19
[2,4,6,5,8,7,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>19
[2,4,6,8,5,7,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[2,4,6,8,5,7,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>20
[2,4,6,8,3,7,1,5]=>[[1,2,3,4],[5,6],[7,8]]=>20
[2,4,6,8,1,7,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>18
[2,4,6,5,8,3,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[2,4,6,5,8,1,7,3]=>[[1,2,3,5],[4,7],[6,8]]=>17
[2,4,6,8,5,1,7,3]=>[[1,2,3,4],[5,7],[6,8]]=>18
[2,4,6,8,7,3,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[2,4,6,8,7,1,5,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[2,4,6,8,7,1,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>17
[2,4,6,8,5,1,3,7]=>[[1,2,3,4],[5,7,8],[6]]=>17
[2,4,6,5,1,8,3,7]=>[[1,2,3,6],[4,7,8],[5]]=>15
[2,4,6,5,3,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[2,4,6,5,8,3,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[2,4,6,8,5,3,1,7]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[2,4,6,8,7,3,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[2,4,6,8,7,5,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[4,8,7,5,2,1,3,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[6,1,4,7,5,8,2,3]=>[[1,3,4,6],[2,5],[7,8]]=>15
[1,8,6,5,3,2,7,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[1,6,3,5,8,2,4,7]=>[[1,2,4,5],[3,7,8],[6]]=>15
[4,6,1,7,8,5,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[6,1,2,7,8,4,5,3]=>[[1,3,4,5],[2,6,7],[8]]=>14
[6,1,3,2,7,8,5,4]=>[[1,3,5,6],[2,7],[4,8]]=>11
[5,6,3,1,7,4,8,2]=>[[1,2,5,7],[3,6],[4,8]]=>13
[4,8,3,7,1,6,5,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[8,7,2,6,5,1,4,3]=>[[1,4],[2,7],[3],[5],[6],[8]]=>20
[5,8,3,2,1,7,6,4]=>[[1,2],[3,6],[4,7],[5,8]]=>18
[5,4,3,8,1,7,6,2]=>[[1,4],[2,6],[3,7],[5,8]]=>13
[6,5,3,8,7,1,4,2]=>[[1,4],[2,5],[3,7],[6,8]]=>14
[4,3,8,2,7,6,5,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[4,8,2,7,6,5,3,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>26
[7,8,2,6,5,4,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[3,8,7,6,2,5,1,4]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[4,8,3,7,2,1,6,5]=>[[1,2],[3,4],[5,7],[6,8]]=>22
[8,6,3,1,7,5,4,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[8,6,3,7,1,5,4,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[4,8,3,7,6,2,5,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>24
[5,8,2,7,6,4,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[8,4,2,1,7,6,5,3]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[1,6,4,2,5,3,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[1,8,6,2,7,3,4,5]=>[[1,2,5,7,8],[3,6],[4]]=>8
[1,6,3,2,4,5,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>5
[1,5,2,6,4,3,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,5,2,4,6,3,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>7
[1,8,6,2,3,7,4,5]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,5,2,8,6,3,4,7]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,3,6,8,2,7,4,5]=>[[1,2,3,4],[5,6,8],[7]]=>18
[1,4,3,8,2,5,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>9
[1,7,2,3,8,5,4,6]=>[[1,2,4,5,8],[3,6],[7]]=>12
[1,3,8,4,2,5,6,7]=>[[1,2,3,6,7,8],[4],[5]]=>7
[1,6,2,8,5,4,3,7]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[1,7,2,3,8,6,4,5]=>[[1,2,4,5,8],[3,6],[7]]=>12
[1,5,3,8,2,7,4,6]=>[[1,2,4,8],[3,6],[5,7]]=>13
[1,4,8,2,5,6,3,7]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,5,7,3,2,8,4,6]=>[[1,2,3,6],[4,7,8],[5]]=>15
[1,2,7,3,6,8,4,5]=>[[1,2,3,5,6],[4,8],[7]]=>14
[1,7,2,3,6,8,4,5]=>[[1,2,4,5,6],[3,8],[7]]=>13
[1,4,8,3,2,5,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>10
[1,7,2,5,8,3,4,6]=>[[1,2,4,5,8],[3,7],[6]]=>11
[8,2,3,4,5,6,7,9,1]=>[[1,3,4,5,6,7,8],[2],[9]]=>9
[2,9,3,4,5,6,7,8,1]=>[[1,2,4,5,6,7,8],[3],[9]]=>10
[6,2,3,5,8,1,7,4]=>[[1,3,4,5],[2,7],[6,8]]=>13
[5,2,4,8,1,6,7,3]=>[[1,3,4,7],[2,6],[5,8]]=>11
[1,3,9,4,5,6,7,8,2]=>[[1,2,3,5,6,7,8],[4],[9]]=>11
[2,10,3,4,5,6,7,8,9,1]=>[[1,2,4,5,6,7,8,9],[3],[10]]=>11
[2,3,5,6,4,7,8,1,9]=>[[1,2,3,4,6,7,9],[5],[8]]=>11
[1,3,4,6,7,5,8,9,2]=>[[1,2,3,4,5,7,8],[6],[9]]=>13
[2,3,5,6,7,1,8,4,9]=>[[1,2,3,4,5,7,9],[6,8]]=>11
[2,6,4,5,7,3,1,8]=>[[1,2,4,5,8],[3],[6],[7]]=>13
[2,5,6,3,4,7,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,3,7,5,6,8,4,2]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[1,3,6,7,4,5,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>15
[1,3,4,6,7,8,2,9,5]=>[[1,2,3,4,5,6,8],[7,9]]=>13
[1,5,6,3,4,2,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[1,5,3,6,4,2,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,5,3,7,4,6,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,5,7,3,6,4,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[2,5,7,4,1,3,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>14
[6,7,3,1,8,5,2,4]=>[[1,2,5],[3,6,8],[4,7]]=>15
[4,6,3,5,8,2,1,7]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[7,4,5,2,1,8,6,3]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[4,7,5,2,1,8,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[8,5,3,6,2,1,7,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[4,5,7,3,1,2,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>14
[4,5,1,8,3,2,7,6]=>[[1,2,4],[3,5,7],[6,8]]=>19
[5,7,4,6,3,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[3,6,1,2,4,8,7,5]=>[[1,2,5,6],[3,4,7],[8]]=>13
[2,5,3,8,4,1,7,6]=>[[1,2,4,7],[3,5],[6,8]]=>16
[7,5,2,3,1,8,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[6,3,1,2,4,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>10
[4,7,5,2,3,6,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[3,6,8,4,5,1,2,7]=>[[1,2,3,8],[4,5],[6,7]]=>16
[5,2,3,7,6,4,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[6,2,7,3,5,4,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[7,2,6,5,3,4,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>14
[8,2,6,5,4,1,3,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[6,2,8,4,5,1,3,7]=>[[1,3,5,8],[2,4],[6,7]]=>12
[2,3,1,7,8,5,6,4]=>[[1,2,4,5],[3,6,7],[8]]=>17
[7,2,8,5,1,4,3,6]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[8,6,7,1,4,2,3,5]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[6,8,7,1,4,3,2,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[6,8,2,5,3,1,4,7]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[3,7,8,5,1,4,2,6]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[4,8,7,3,1,2,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[4,8,6,2,3,1,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[3,8,5,4,2,1,6,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[4,5,3,8,2,1,6,7]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[3,7,4,1,8,2,6,5]=>[[1,2,5],[3,6,7],[4,8]]=>16
[3,8,4,1,7,6,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[3,7,2,1,8,4,6,5]=>[[1,2,5],[3,6,7],[4,8]]=>16
[8,7,1,6,5,2,3,4]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[8,5,1,2,7,6,3,4]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[3,8,2,1,7,6,4,5]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[3,5,7,8,2,4,6,1]=>[[1,2,3,4],[5,6,7],[8]]=>19
[7,8,2,5,4,3,6,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[4,5,3,7,8,2,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[1,5,4,7,3,6,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[1,7,3,6,8,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[4,6,8,2,7,3,5,1]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[4,7,6,3,5,1,8,2]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[7,8,3,6,1,5,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[2,5,7,8,4,6,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>20
[3,7,5,6,2,1,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[6,2,1,7,4,5,3,8]=>[[1,4,6,8],[2,5],[3,7]]=>7
[1,2,6,4,7,5,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>13
[7,5,6,3,8,4,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[8,5,4,2,1,6,7,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[2,6,8,4,7,5,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[6,7,5,1,4,8,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[7,4,1,6,5,3,8,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[5,8,2,7,3,6,4,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[1,6,5,7,3,8,4,2]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[1,5,6,8,4,2,7,3]=>[[1,2,3,4],[5,7],[6,8]]=>18
[7,5,4,1,8,2,6,3]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[6,4,1,8,2,7,5,3]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[7,8,5,3,2,6,1,4]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[8,2,5,1,7,6,4,3]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[6,7,4,3,8,2,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[3,4,2,7,8,6,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>18
[7,8,6,1,4,3,2,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[2,4,7,8,6,1,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>17
[3,7,8,6,5,2,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[4,5,2,7,8,6,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[4,6,2,5,3,1,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[4,1,5,6,3,2,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>8
[2,6,7,5,4,1,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[4,1,6,7,5,3,2,8]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[6,7,4,3,1,5,2,8]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[1,7,5,6,4,3,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[7,6,5,3,1,8,4,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[7,8,6,4,3,1,5,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>19
[4,1,7,8,6,5,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[4,5,7,3,8,6,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>19
[6,8,5,3,7,2,1,4]=>[[1,2],[3,5],[4,8],[6],[7]]=>21
[4,7,1,5,8,2,6,3]=>[[1,2,5],[3,4,7],[6,8]]=>16
[2,7,5,8,3,6,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[7,4,8,2,6,5,3,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[7,5,4,8,2,6,3,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[4,3,8,1,6,5,2,7]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[2,3,6,5,7,8,1,4]=>[[1,2,3,5,6],[4,8],[7]]=>14
[8,3,4,1,2,6,7,5]=>[[1,3,6,7],[2,5,8],[4]]=>7
[7,3,4,8,5,2,1,6]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[7,3,8,4,1,5,6,2]=>[[1,3,6,7],[2,4],[5,8]]=>12
[7,2,4,5,1,8,3,6]=>[[1,3,4,6],[2,7,8],[5]]=>11
[7,3,1,2,8,5,6,4]=>[[1,4,5,7],[2,6],[3,8]]=>9
[4,8,2,3,5,7,6,1]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[4,5,2,3,8,6,7,1]=>[[1,2,5,7],[3,4,6],[8]]=>12
[6,7,4,8,5,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[4,3,5,6,1,7,8,2]=>[[1,3,4,6,7],[2,8],[5]]=>9
[3,5,2,6,4,7,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>12
[4,1,2,8,5,7,6,3]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[3,1,5,6,4,7,8,2]=>[[1,3,4,6,7],[2,5],[8]]=>10
[3,1,4,6,7,5,8,2]=>[[1,3,4,5,7],[2,6],[8]]=>11
[2,6,4,5,8,1,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>15
[6,4,1,3,5,8,2,7]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[3,4,1,7,2,6,8,5]=>[[1,2,4,7],[3,5,6],[8]]=>15
[2,4,7,5,8,1,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>16
[3,7,6,2,1,5,8,4]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[4,2,6,1,3,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>7
[8,5,4,2,7,6,3,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[2,8,4,6,7,1,3,5]=>[[1,2,4,5],[3,7,8],[6]]=>15
[5,8,2,1,4,6,7,3]=>[[1,2,6,7],[3,5],[4,8]]=>12
[8,4,6,1,2,5,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[3,7,8,4,2,6,5,1]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[5,6,2,8,7,1,3,4]=>[[1,2,4],[3,5,8],[6,7]]=>18
[7,1,3,8,4,5,6,2]=>[[1,3,4,6,7],[2,5],[8]]=>10
[7,8,1,4,3,5,6,2]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[3,6,7,2,8,1,5,4]=>[[1,2,3,5],[4,7],[6,8]]=>17
[2,6,7,1,3,5,8,4]=>[[1,2,3,7],[4,5,6],[8]]=>16
[3,6,7,1,8,2,5,4]=>[[1,2,3,5],[4,6,7],[8]]=>18
[3,4,1,8,7,2,6,5]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[3,1,5,7,2,8,6,4]=>[[1,3,4,6],[2,5,7],[8]]=>13
[4,8,1,3,2,7,6,5]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[4,1,8,3,2,7,6,5]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[3,8,2,4,7,1,6,5]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[3,2,4,8,7,1,6,5]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[3,2,5,7,1,8,6,4]=>[[1,3,4,6],[2,7],[5,8]]=>12
[4,2,8,3,1,7,6,5]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[4,8,2,1,3,7,6,5]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[4,2,8,1,3,7,6,5]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[2,3,4,6,8,7,1,5]=>[[1,2,3,4,5],[6,8],[7]]=>16
[5,6,4,7,1,2,8,3]=>[[1,2,4,7],[3,6,8],[5]]=>13
[4,6,7,5,8,2,3,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[4,5,7,1,6,8,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[3,2,7,6,8,1,4,5]=>[[1,3,5],[2,4,8],[6,7]]=>13
[4,5,1,7,6,8,2,3]=>[[1,2,4,6],[3,5,8],[7]]=>15
[6,7,2,8,3,1,4,5]=>[[1,2,4,8],[3,5,7],[6]]=>13
[7,6,3,1,2,8,4,5]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[6,2,7,8,4,1,3,5]=>[[1,3,4],[2,5,8],[6,7]]=>15
[7,8,5,2,4,1,3,6]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[7,6,2,3,1,8,4,5]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[4,2,5,1,3,7,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>7
[3,4,1,7,8,5,2,6]=>[[1,2,4,5],[3,6,8],[7]]=>16
[4,1,3,7,8,5,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>13
[4,3,1,8,5,2,7,6]=>[[1,4,7],[2,5,8],[3,6]]=>7
[7,6,3,5,8,4,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21
[4,5,1,3,2,7,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>10
[5,1,3,2,4,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>8
[8,3,5,6,1,7,2,4]=>[[1,3,4,6],[2,7,8],[5]]=>11
[4,5,8,1,2,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>16
[5,3,6,7,8,2,1,4]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[1,3,4,8,6,2,7,5]=>[[1,2,3,4,7],[5,8],[6]]=>14
[7,2,4,1,3,8,5,6]=>[[1,3,6,8],[2,5,7],[4]]=>6
[8,4,5,2,6,1,7,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[4,6,8,2,3,7,5,1]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[4,5,7,2,3,6,1,8]=>[[1,2,3,8],[4,5,6],[7]]=>15
[2,7,3,4,1,5,6,8]=>[[1,2,4,6,7,8],[3],[5]]=>6
[6,7,2,3,4,8,1,5]=>[[1,2,5,6],[3,4,8],[7]]=>12
[3,5,2,4,6,7,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>11
[4,2,6,3,5,7,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>9
[2,3,4,5,6,1,8,7,9]=>[[1,2,3,4,5,7,9],[6,8]]=>11
[2,3,4,5,1,7,6,8,9]=>[[1,2,3,4,6,8,9],[5,7]]=>9
[2,3,4,1,6,5,7,8,9]=>[[1,2,3,5,7,8,9],[4,6]]=>7
[2,3,1,5,4,6,7,8,9]=>[[1,2,4,6,7,8,9],[3,5]]=>5
[1,4,8,5,6,2,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>13
[2,8,7,4,5,1,6,3]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[1,3,8,5,2,6,7,4]=>[[1,2,3,6,7],[4,8],[5]]=>12
[7,2,8,4,5,1,6,3]=>[[1,3,5,7],[2,4],[6,8]]=>13
[8,6,2,4,1,5,7,3]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[1,6,4,3,2,7,8,5]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[8,5,3,2,1,6,7,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[1,7,5,2,3,6,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>10
[7,1,5,2,3,6,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>8
[8,1,2,5,3,6,7,4]=>[[1,3,4,6,7],[2,8],[5]]=>9
[8,4,1,6,3,7,2,5]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[6,7,5,3,8,2,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[5,2,6,8,3,7,1,4]=>[[1,3,4],[2,5,6],[7,8]]=>17
[4,2,5,8,6,7,1,3]=>[[1,3,4,6],[2,5],[7,8]]=>15
[5,8,6,3,4,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[3,7,2,4,1,8,6,5]=>[[1,2,6],[3,4,7],[5,8]]=>15
[2,4,7,8,5,1,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>17
[2,5,3,8,4,1,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>10
[3,1,7,4,5,6,2,8]=>[[1,3,5,6,8],[2,4],[7]]=>8
[2,4,8,3,5,7,1,6]=>[[1,2,3,6],[4,5],[7,8]]=>18
[8,1,7,2,4,3,5,6]=>[[1,3,5,7,8],[2],[4],[6]]=>9
[1,3,8,2,4,7,5,6]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,3,7,2,4,6,5,8]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,7,3,2,4,6,5,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,8,3,7,4,2,5,6]=>[[1,2,4,7,8],[3],[5],[6]]=>11
[8,7,3,1,4,2,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[2,8,4,3,5,7,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[3,2,8,7,4,1,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[3,2,1,7,4,6,5,8]=>[[1,4,6,8],[2,5],[3,7]]=>7
[3,2,6,5,1,7,8,4]=>[[1,3,6,7],[2,4],[5,8]]=>12
[5,3,2,6,7,1,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[3,2,8,6,7,4,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[8,4,6,2,7,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[4,3,8,6,7,2,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[4,3,6,2,8,7,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[3,8,4,7,6,5,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[7,8,4,2,6,3,5,1]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[3,2,7,8,6,4,5,1]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[3,2,7,5,6,8,4,1]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[5,7,8,6,3,2,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[6,5,4,2,1,7,8,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[5,4,2,1,7,6,3,8]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[4,1,6,5,2,7,8,3]=>[[1,3,6,7],[2,4,8],[5]]=>8
[5,4,1,6,7,2,8,3]=>[[1,4,5,7],[2,6,8],[3]]=>8
[6,8,5,3,1,7,2,4]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[5,2,6,3,8,7,1,4]=>[[1,3,5],[2,4,6],[7,8]]=>15
[8,6,1,7,3,4,2,5]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[1,8,3,6,7,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[1,6,3,5,2,7,8,4]=>[[1,2,4,6,7],[3,8],[5]]=>11
[1,5,7,3,2,6,4,8]=>[[1,2,3,8],[4,6],[5,7]]=>14
[5,1,3,7,2,6,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>10
[8,1,6,7,2,4,3,5]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[6,1,4,8,2,7,3,5]=>[[1,3,4,8],[2,6],[5,7]]=>10
[6,2,4,8,3,7,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[8,7,2,6,3,5,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[8,1,7,6,5,2,3,4]=>[[1,3,7,8],[2],[4],[5],[6]]=>13
[7,1,5,6,8,2,4,3]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[6,7,1,5,2,4,8,3]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[7,6,1,5,2,4,3,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>13
[7,1,6,3,5,4,2,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>15
[1,6,7,3,5,4,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[1,7,3,5,6,8,4,2]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[1,7,8,3,6,4,5,2]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[1,8,7,6,4,5,2,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[8,2,7,4,6,5,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[2,8,5,7,6,4,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[7,4,5,1,6,8,3,2]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[4,1,7,5,6,8,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[5,6,7,4,3,1,8,2]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[6,7,8,5,3,1,4,2]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[1,4,6,2,5,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[1,6,3,2,5,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[1,6,8,2,5,4,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[1,5,4,2,6,3,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[1,2,6,4,3,5,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>7
[1,6,8,2,7,5,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[1,7,4,3,2,6,8,5]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[1,5,4,7,2,6,8,3]=>[[1,2,4,7],[3,6],[5,8]]=>14
[1,3,7,6,2,8,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[1,7,6,2,8,4,3,5]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[1,5,2,8,4,3,7,6]=>[[1,2,4,7],[3,5],[6,8]]=>16
[1,2,8,4,3,6,5,7]=>[[1,2,3,6,8],[4,7],[5]]=>11
[1,2,8,5,6,3,4,7]=>[[1,2,3,5,8],[4,7],[6]]=>12
[1,7,3,5,2,8,6,4]=>[[1,2,4,6],[3,7],[5,8]]=>15
[1,6,7,2,5,8,4,3]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[1,5,8,3,2,7,4,6]=>[[1,2,3,8],[4,6],[5,7]]=>14
[1,4,5,8,2,6,3,7]=>[[1,2,3,4,8],[5,6],[7]]=>14
[1,7,6,4,8,2,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[1,4,8,6,5,2,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[1,3,8,2,6,5,4,7]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[1,7,6,3,8,2,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[1,5,2,7,6,4,8,3]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[1,2,4,3,8,7,5,6]=>[[1,2,3,5,8],[4,6],[7]]=>13
[1,4,3,8,7,2,5,6]=>[[1,2,4,8],[3,5],[6,7]]=>15
[1,3,8,6,2,4,5,7]=>[[1,2,3,7,8],[4,6],[5]]=>10
[1,3,8,5,4,2,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[1,7,2,4,8,6,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[1,6,5,3,2,8,7,4]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[1,3,2,8,7,5,4,6]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[1,2,8,6,5,4,3,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[8,1,3,4,6,5,2,7]=>[[1,3,4,5,8],[2],[6],[7]]=>12
[8,3,1,4,6,5,2,7]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[5,8,3,1,2,6,4,7]=>[[1,2,6,8],[3,5],[4,7]]=>11
[4,8,1,7,5,2,3,6]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[4,8,1,7,5,2,6,3]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[8,5,1,4,2,6,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[8,4,1,3,5,6,2,7]=>[[1,4,5,6,8],[2],[3],[7]]=>9
[8,5,3,2,1,6,4,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,1,5,4,2,6,3,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[8,5,2,4,1,6,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[4,8,7,1,5,2,6,3]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[4,8,7,1,5,2,3,6]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[7,6,8,4,1,3,2,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[7,6,8,4,1,3,5,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[3,8,7,5,4,1,2,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[4,8,2,7,5,1,3,6]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[7,6,8,4,1,5,2,3]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[8,7,6,1,5,2,3,4]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[7,1,4,8,6,3,5,2]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[8,1,6,5,3,4,7,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>15
[8,6,2,5,3,4,7,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>14
[8,6,5,1,3,4,7,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[8,7,5,1,3,6,2,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[8,7,1,5,3,6,2,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[8,6,1,3,5,4,7,2]=>[[1,4,5,7],[2],[3],[6],[8]]=>15
[7,1,4,8,3,6,5,2]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[7,8,5,2,4,3,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[7,3,8,2,5,4,6,1]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[8,4,2,5,3,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[4,8,1,5,3,7,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[7,4,8,2,6,3,5,1]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[7,4,8,2,6,3,1,5]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[8,7,3,1,6,4,2,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[8,7,3,1,6,4,5,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[8,7,3,1,4,6,5,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[8,4,3,2,7,5,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[6,4,1,7,8,5,3,2]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[7,6,3,4,1,8,5,2]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[8,7,3,1,6,2,5,4]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[7,8,6,4,2,5,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[7,8,2,4,6,5,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[8,1,7,3,5,6,2,4]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[8,7,5,2,4,6,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[8,1,7,5,4,6,2,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[8,7,3,2,6,1,5,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>14
[5,3,1,7,6,4,2,8]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[1,8,6,4,2,9,7,5,3]=>[[1,2,6],[3,7],[4,8],[5,9]]=>21
[9,7,5,3,1,8,6,4,2,10]=>[[1,6,10],[2,7],[3,8],[4,9],[5]]=>16
[8,6,4,2,1,7,5,3,9]=>[[1,6,9],[2,7],[3,8],[4],[5]]=>13
[8,7,5,3,1,6,4,2,9]=>[[1,6,9],[2,7],[3,8],[4],[5]]=>13
[7,5,3,2,1,6,4,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[7,6,5,3,1,4,2,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[1,8,6,4,3,2,7,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[1,8,7,6,4,2,5,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[8,4,6,7,5,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23
[1,4,8,6,7,5,3,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>21
[7,6,2,5,8,4,3,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21
[1,7,3,6,8,5,4,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[8,6,2,5,7,4,3,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21
[7,1,3,6,8,5,4,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[1,8,3,6,7,5,4,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[8,1,7,6,4,5,3,2]=>[[1,3,6],[2],[4],[5],[7],[8]]=>21
[7,1,8,6,4,5,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[1,6,2,7,4,5,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,8,2,6,4,3,5,7]=>[[1,2,4,7,8],[3],[5],[6]]=>11
[1,7,2,6,4,3,5,8]=>[[1,2,4,7,8],[3],[5],[6]]=>11
[1,7,2,5,4,6,3,8]=>[[1,2,4,6,8],[3],[5],[7]]=>12
[6,5,7,2,8,3,4,1]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[6,2,7,5,8,1,4,3]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[6,7,2,5,8,1,4,3]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[6,5,7,3,8,1,4,2]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[6,3,7,4,8,2,5,1]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[6,3,7,4,8,1,5,2]=>[[1,3,5],[2,4,7],[6,8]]=>14
[6,7,5,1,4,3,8,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[7,8,5,1,4,3,6,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[7,2,1,5,3,8,6,4]=>[[1,4,6],[2,5,7],[3,8]]=>9
[5,8,2,7,6,1,3,4]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[5,1,8,7,3,4,2,6]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[8,2,3,6,7,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>12
[4,2,3,1,5,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>7
[8,6,5,4,3,2,1,7,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>21
[3,1,2,4,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>1
[9,7,6,5,4,3,2,1,8,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28
[2,4,8,7,5,3,1,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[2,6,8,7,5,3,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[2,6,5,1,4,3,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[6,5,1,2,4,3,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[4,6,5,3,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[4,8,7,5,3,1,2,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[4,6,8,7,5,3,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[6,8,7,5,3,1,4,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>19
[8,7,5,6,3,1,4,2]=>[[1,4],[2,7],[3,8],[5],[6]]=>15
[8,7,3,4,6,5,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[2,1,4,8,7,3,6,5]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[4,8,7,3,1,2,6,5]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[8,7,3,4,1,2,6,5]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[8,7,3,1,6,5,2,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[8,7,3,2,6,5,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[2,8,7,3,4,6,5,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[2,8,7,3,6,5,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[2,8,7,1,6,5,3,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[8,7,1,2,6,5,3,4]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[8,7,1,2,4,3,6,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[2,1,8,7,3,4,6,5]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[8,7,5,1,2,4,3,6]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[2,8,7,1,4,3,6,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[2,8,7,3,4,1,6,5]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[2,8,7,5,6,3,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[2,4,8,7,3,1,6,5]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[2,8,7,3,1,4,6,5]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[2,4,3,1,8,7,5,6]=>[[1,2,5,8],[3,6],[4,7]]=>12
[4,3,1,2,6,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>10
[2,8,7,5,6,3,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[2,8,7,5,3,1,6,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[2,8,7,5,3,6,4,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[2,8,7,5,6,1,4,3]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[2,6,8,7,5,1,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[6,8,7,5,1,2,4,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[8,7,5,6,1,2,4,3]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[8,7,1,2,4,6,5,3]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[2,4,8,7,3,6,5,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[8,7,2,4,3,6,5,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[4,8,7,1,2,6,5,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[8,7,5,3,1,2,6,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[8,7,5,3,6,4,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[8,7,1,4,3,6,5,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[8,7,3,4,1,6,5,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[8,1,2,3,4,5,7,6,9]=>[[1,3,4,5,6,7,9],[2],[8]]=>8
[7,1,2,3,5,4,6,8]=>[[1,3,4,5,7,8],[2],[6]]=>6
[1,9,2,3,4,5,6,8,7]=>[[1,2,4,5,6,7,8],[3],[9]]=>10
[8,1,2,3,4,6,5,7,9]=>[[1,3,4,5,6,8,9],[2],[7]]=>7
[7,1,2,6,4,5,3,8]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[7,1,2,4,3,5,6,8]=>[[1,3,4,6,7,8],[2],[5]]=>5
[1,9,2,3,4,5,7,6,8]=>[[1,2,4,5,6,7,9],[3],[8]]=>9
[1,10,2,3,4,5,6,7,9,8]=>[[1,2,4,5,6,7,8,9],[3],[10]]=>11
[4,7,3,6,5,1,2,8]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[7,5,4,2,8,3,1,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[8,3,6,1,5,2,4,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[3,1,6,8,5,7,2,4]=>[[1,3,4],[2,5,6],[7,8]]=>17
[5,7,2,1,8,4,6,3]=>[[1,2,5],[3,6,7],[4,8]]=>16
[7,2,8,6,4,3,1,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[6,3,8,7,4,2,1,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[7,6,3,2,8,4,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[8,6,1,3,2,4,5,7]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[5,8,3,7,4,2,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[4,1,7,3,5,8,6,2]=>[[1,3,5,6],[2,4,7],[8]]=>11
[8,4,7,3,5,2,1,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[5,4,8,1,3,2,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[4,5,8,2,1,3,6,7]=>[[1,2,3,8],[4,6,7],[5]]=>13
[8,1,3,5,2,4,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>7
[1,8,3,5,7,2,4,6]=>[[1,2,4,5],[3,7,8],[6]]=>15
[8,1,4,2,7,6,3,5]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[1,3,4,5,6,7,8,2,9]=>[[1,2,3,4,5,6,7,9],[8]]=>7
[1,3,4,5,6,7,8,10,2,9]=>[[1,2,3,4,5,6,7,8],[9,10]]=>16
[2,1,4,5,6,7,8,3,9]=>[[1,3,4,5,6,7,9],[2,8]]=>6
[1,3,4,5,6,7,8,9,2,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>8
[1,5,7,3,6,8,2,4]=>[[1,2,3,6],[4,5],[7,8]]=>18
[8,4,6,2,5,7,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[1,3,4,7,6,8,2,5]=>[[1,2,3,4,6],[5,8],[7]]=>15
[8,1,3,6,7,4,2,5]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[1,2,4,7,8,5,3,6]=>[[1,2,3,4,5],[6,8],[7]]=>16
[3,1,4,7,6,8,2,5]=>[[1,3,4,6],[2,5,8],[7]]=>12
[4,1,3,7,6,8,2,5]=>[[1,3,4,6],[2,5],[7,8]]=>15
[5,1,7,3,6,8,2,4]=>[[1,3,5,6],[2,4],[7,8]]=>14
[6,7,8,2,4,5,1,3]=>[[1,2,3],[4,5,6],[7,8]]=>21
[5,8,6,2,4,7,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[3,8,2,6,5,7,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[2,8,3,6,7,4,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[8,7,2,5,6,3,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[8,7,1,6,4,3,2,5]=>[[1,4,8],[2],[3],[5],[6],[7]]=>18
[1,8,2,7,5,4,3,6]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[3,8,1,7,5,4,2,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[5,8,6,1,7,3,2,4]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[6,7,1,2,8,4,3,5]=>[[1,2,5,8],[3,4,6],[7]]=>11
[2,1,3,8,6,5,4,7]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[8,2,1,7,5,4,3,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[1,3,2,8,6,5,4,7]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[3,4,1,7,6,8,2,5]=>[[1,2,4,6],[3,5,8],[7]]=>15
[2,5,7,1,8,4,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>17
[3,5,7,1,6,8,2,4]=>[[1,2,3,6],[4,5,8],[7]]=>16
[4,5,7,6,1,8,2,3]=>[[1,2,3,6],[4,7,8],[5]]=>15
[5,4,7,6,8,3,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[1,5,7,8,6,3,2,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[8,4,6,7,5,2,1,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[8,3,7,5,6,2,1,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[1,4,8,6,7,3,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[2,4,8,6,7,3,1,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[5,2,7,8,6,3,1,4]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[2,3,8,7,5,4,1,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[1,3,8,7,5,4,2,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[8,2,7,6,4,3,1,5]=>[[1,3,8],[2],[4],[5],[6],[7]]=>19
[8,1,7,6,4,3,2,5]=>[[1,3,8],[2],[4],[5],[6],[7]]=>19
[4,1,8,6,7,3,2,5]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[4,8,7,5,6,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[1,3,9,8,7,6,5,4,2]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>33
[1,5,8,4,3,7,6,2]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[8,1,7,2,5,6,4,3]=>[[1,3,5,6],[2],[4],[7],[8]]=>17
[8,1,3,5,2,7,6,4]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[2,7,1,5,4,8,6,3]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[8,6,2,4,3,7,5,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[2,4,1,6,7,5,8,3]=>[[1,2,4,5,7],[3,6],[8]]=>13
[8,1,4,5,6,3,7,2]=>[[1,3,4,5,7],[2],[6],[8]]=>13
[8,1,4,5,6,2,7,3]=>[[1,3,4,5,7],[2,8],[6]]=>10
[8,1,4,7,6,2,5,3]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[2,5,1,7,8,6,4,3]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[3,5,6,2,8,7,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[2,4,5,1,7,6,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>13
[7,3,1,5,6,4,2,8]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[8,3,2,5,6,7,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[8,4,5,3,7,6,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[3,4,5,6,2,8,1,7]=>[[1,2,3,4,6],[5,8],[7]]=>15
[3,7,4,2,8,5,1,6]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[7,3,4,1,6,8,2,5]=>[[1,3,5,6],[2,7,8],[4]]=>10
[2,6,3,1,4,7,5,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[7,2,1,6,3,4,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>6
[7,3,4,1,6,5,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[3,7,4,2,5,8,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[2,3,5,1,4,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>17
[2,7,1,3,6,8,5,4]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[2,7,1,3,8,4,6,5]=>[[1,2,5,7],[3,4,6],[8]]=>12
[3,8,7,1,6,2,5,4]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[3,8,7,1,4,5,2,6]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[3,7,4,2,1,8,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[4,8,5,7,2,6,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[8,4,5,7,3,2,6,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[8,3,7,2,4,1,5,6]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[8,6,7,2,1,4,3,5]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[8,3,7,5,1,2,6,4]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[7,3,4,6,2,1,5,8]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[3,7,4,6,1,5,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[3,4,7,6,1,2,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>14
[4,5,8,7,6,1,3,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[8,7,3,5,6,1,4,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[8,5,2,7,6,1,3,4]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[8,4,2,5,1,6,7,3]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[8,5,3,1,6,4,7,2]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[8,7,3,1,4,5,6,2]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[8,5,3,7,1,6,4,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>17
[7,6,3,8,1,4,2,5]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[7,4,8,2,6,1,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>15
[6,4,7,3,1,5,2,8]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[8,5,3,1,6,4,2,7]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[8,7,5,1,2,6,3,4]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[8,6,4,1,2,7,5,3]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[8,7,4,1,2,5,3,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[6,5,3,7,4,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[1,6,3,8,4,2,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>10
[4,7,2,5,3,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[1,8,3,4,5,2,6,7]=>[[1,2,4,5,7,8],[3],[6]]=>7
[1,8,6,4,2,5,3,7]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[8,2,6,4,1,5,7,3]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[7,8,3,4,6,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[4,8,7,5,3,1,6,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[6,1,4,8,3,2,5,7]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[4,1,8,5,3,2,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[8,1,6,4,2,7,3,5]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[3,1,7,4,2,5,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>8
[1,2,7,4,3,5,6,8]=>[[1,2,3,6,7,8],[4],[5]]=>7
[6,1,8,5,2,4,3,7]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[6,8,2,5,1,4,7,3]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[4,5,2,1,6,8,7,3]=>[[1,2,5,6],[3,7],[4,8]]=>14
[7,2,8,6,5,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[7,4,8,6,1,5,3,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[8,7,2,6,1,4,5,3]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[1,7,8,6,2,4,3,5]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[7,6,3,1,2,5,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[8,5,3,1,2,4,7,6]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[8,2,1,6,5,3,4,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[3,8,1,5,6,2,4,7]=>[[1,2,5,8],[3,4,7],[6]]=>10
[6,8,4,1,5,2,3,7]=>[[1,2,7,8],[3,5],[4,6]]=>10
[3,2,8,1,6,4,5,7]=>[[1,3,7,8],[2,5],[4,6]]=>7
[5,2,1,3,7,6,4,8]=>[[1,4,5,8],[2,6],[3,7]]=>8
[5,4,1,2,8,3,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>9
[5,8,4,1,2,3,7,6]=>[[1,2,6,7],[3,5],[4,8]]=>12
[7,1,2,5,3,4,6,8]=>[[1,3,4,6,7,8],[2],[5]]=>5
[1,6,7,3,2,8,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>15
[1,8,6,3,2,7,4,5]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[1,4,6,2,8,5,3,7]=>[[1,2,3,5],[4,6,8],[7]]=>17
[1,5,6,2,8,4,3,7]=>[[1,2,3,5],[4,6,8],[7]]=>17
[1,2,5,7,4,6,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>15
[3,5,8,6,1,7,2,4]=>[[1,2,3,6],[4,7,8],[5]]=>15
[2,3,7,1,8,6,4,5]=>[[1,2,3,5],[4,6,8],[7]]=>17
[2,6,1,7,8,5,3,4]=>[[1,2,4,5],[3,6,8],[7]]=>16
[4,8,3,1,6,5,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[1,6,8,5,4,2,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[6,5,8,4,2,1,7,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[1,7,8,6,5,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[6,8,7,4,5,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>22
[3,6,4,2,5,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[2,1,5,8,6,4,7,3]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[4,2,8,5,6,3,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[5,7,2,3,4,6,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>11
[1,8,7,3,2,5,6,4]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[5,7,1,2,3,8,6,4]=>[[1,2,5,6],[3,4,7],[8]]=>13
[7,8,6,2,4,1,5,3]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[7,2,8,4,6,1,5,3]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[7,4,6,2,8,1,5,3]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[7,1,5,8,2,3,6,4]=>[[1,3,4,7],[2,6],[5,8]]=>11
[7,6,4,8,2,1,5,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>15
[6,1,8,4,2,3,5,7]=>[[1,3,6,7,8],[2,4],[5]]=>6
[7,3,6,2,1,8,5,4]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[1,8,6,4,2,5,7,3]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[5,6,2,1,8,4,7,3]=>[[1,2,5],[3,6,7],[4,8]]=>16
[2,8,1,6,5,7,3,4]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[5,1,6,4,3,8,7,2]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[5,4,6,8,1,3,7,2]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[3,7,1,6,4,5,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[3,5,2,1,4,6,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>7
[1,3,8,7,5,4,6,2]=>[[1,2,3,7],[4],[5],[6],[8]]=>19
[1,2,3,4,5,7,9,8,6]=>[[1,2,3,4,5,6,7],[8],[9]]=>15
[1,2,3,4,6,7,9,8,5]=>[[1,2,3,4,5,6,7],[8],[9]]=>15
[1,2,3,4,6,8,9,7,5]=>[[1,2,3,4,5,6,7],[8],[9]]=>15
[1,2,3,4,6,9,8,7,5]=>[[1,2,3,4,5,6],[7],[8],[9]]=>21
[1,2,3,5,6,7,9,8,4]=>[[1,2,3,4,5,6,7],[8],[9]]=>15
[1,2,3,5,6,8,9,7,4]=>[[1,2,3,4,5,6,7],[8],[9]]=>15
[1,2,3,5,6,9,8,7,4]=>[[1,2,3,4,5,6],[7],[8],[9]]=>21
[1,2,3,5,7,9,8,6,4]=>[[1,2,3,4,5,6],[7],[8],[9]]=>21
[1,2,3,5,9,8,7,6,4]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>26
[1,2,4,5,7,8,9,6,3]=>[[1,2,3,4,5,6,7],[8],[9]]=>15
[1,2,4,5,7,9,8,6,3]=>[[1,2,3,4,5,6],[7],[8],[9]]=>21
[1,2,4,5,9,8,7,6,3]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>26
[1,2,4,6,9,8,7,5,3]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>26
[1,2,4,9,8,7,6,5,3]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>30
[1,3,5,7,9,8,6,4,2]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>26
[1,3,5,9,8,7,6,4,2]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>30
[1,2,3,4,5,6,8,10,9,7]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>17
[1,2,3,4,5,7,8,10,9,6]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>17
[1,2,3,4,5,7,9,10,8,6]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>17
[1,2,3,4,5,7,10,9,8,6]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>24
[1,2,3,4,6,7,8,10,9,5]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>17
[1,2,3,4,6,7,9,10,8,5]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>17
[1,2,3,4,6,7,10,9,8,5]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>24
[1,2,3,4,6,8,10,9,7,5]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>24
[1,2,3,4,6,10,9,8,7,5]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>30
[1,2,3,5,6,7,9,10,8,4]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>17
[1,2,3,5,6,7,10,9,8,4]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>24
[1,2,3,5,6,8,9,10,7,4]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>17
[1,2,3,5,6,8,10,9,7,4]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>24
[1,2,3,5,6,10,9,8,7,4]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>30
[1,2,3,5,7,9,10,8,6,4]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>24
[1,2,3,5,7,10,9,8,6,4]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>30
[1,2,3,5,10,9,8,7,6,4]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>35
[1,2,4,5,7,8,10,9,6,3]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>24
[1,2,4,5,7,9,10,8,6,3]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>24
[1,2,4,5,7,10,9,8,6,3]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>30
[1,2,4,5,10,9,8,7,6,3]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>35
[1,2,4,6,10,9,8,7,5,3]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>35
[1,2,4,10,9,8,7,6,5,3]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>39
[1,3,5,7,9,10,8,6,4,2]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>30
[1,3,5,7,10,9,8,6,4,2]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>35
[1,3,5,10,9,8,7,6,4,2]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>39
[1,3,10,9,8,7,6,5,4,2]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>42
[6,7,3,4,8,5,1,2]=>[[1,2,5],[3,4,6],[7,8]]=>17
[7,4,1,8,2,5,6,3]=>[[1,4,6,7],[2,5],[3,8]]=>8
[3,1,7,2,5,6,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>9
[4,1,5,7,3,2,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>11
[6,4,1,7,2,8,5,3]=>[[1,4,6],[2,5,7],[3,8]]=>9
[7,3,1,6,2,8,5,4]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[4,8,2,5,3,1,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[5,1,3,4,8,2,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>9
[6,1,4,5,7,8,2,3]=>[[1,3,4,5,6],[2,8],[7]]=>11
[6,3,4,7,1,8,5,2]=>[[1,3,4,6],[2,7],[5,8]]=>12
[7,1,3,4,5,6,8,2]=>[[1,3,4,5,6,7],[2],[8]]=>8
[8,5,2,7,6,3,1,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[1,8,3,5,6,2,7,4]=>[[1,2,4,5,7],[3,8],[6]]=>12
[8,3,2,5,6,1,7,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[4,2,5,1,6,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>11
[5,4,2,7,8,6,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[6,8,7,2,1,3,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[3,7,6,8,5,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[1,7,8,5,2,6,3,4]=>[[1,2,3,8],[4,6],[5,7]]=>14
[7,6,1,2,5,3,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[7,6,2,4,8,1,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[1,5,7,3,8,6,2,4]=>[[1,2,3,5],[4,6],[7,8]]=>19
[6,7,5,1,8,2,3,4]=>[[1,2,5,8],[3,6,7],[4]]=>11
[7,6,1,2,4,3,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[6,7,2,1,5,3,8,4]=>[[1,2,7],[3,5,8],[4,6]]=>11
[4,3,2,8,7,1,6,5]=>[[1,4],[2,5],[3,7],[6,8]]=>14
[4,8,3,1,7,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[5,3,8,7,1,6,4,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[5,8,7,3,1,6,4,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[5,3,8,2,1,7,6,4]=>[[1,3],[2,6],[4,7],[5,8]]=>14
[3,8,7,2,6,5,1,4]=>[[1,2],[3,5],[4,8],[6],[7]]=>21
[7,4,1,8,6,5,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[5,4,2,8,1,7,6,3]=>[[1,4],[2,6],[3,7],[5,8]]=>13
[5,8,4,2,1,7,6,3]=>[[1,2],[3,6],[4,7],[5,8]]=>18
[5,8,4,7,1,6,3,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[5,4,8,3,1,7,6,2]=>[[1,3],[2,6],[4,7],[5,8]]=>14
[8,5,6,1,4,7,2,3]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[6,7,4,1,2,5,8,3]=>[[1,2,6,7],[3,5],[4,8]]=>12
[1,6,7,4,2,5,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>15
[3,6,7,5,8,1,2,4]=>[[1,2,3,5],[4,7,8],[6]]=>16
[1,6,7,5,8,3,2,4]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[3,8,6,5,7,4,1,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[5,2,1,6,8,4,7,3]=>[[1,4,5],[2,6,7],[3,8]]=>11
[6,5,8,7,4,2,3,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[6,8,5,7,4,2,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[4,7,5,3,6,1,2,8]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[4,7,5,3,1,6,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[2,7,5,3,6,4,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[4,7,5,3,8,1,6,2]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[4,7,5,3,6,8,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[2,7,5,6,3,8,4,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[8,7,5,3,1,4,6,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[2,7,5,3,1,4,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[5,7,6,2,8,3,1,4]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[5,1,6,3,2,4,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>8
[5,7,6,1,8,3,2,4]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[3,8,7,2,1,5,4,6]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[6,1,7,2,8,4,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>9
[3,7,6,2,8,5,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[6,1,7,3,8,5,2,4]=>[[1,3,5],[2,4,6],[7,8]]=>15
[7,1,8,3,2,5,4,6]=>[[1,3,6,8],[2,4],[5,7]]=>11
[2,7,8,3,1,5,4,6]=>[[1,2,3,8],[4,6],[5,7]]=>14
[5,8,6,2,7,4,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[2,4,6,7,8,5,1,3]=>[[1,2,3,4,5],[6,8],[7]]=>16
[2,4,6,7,8,3,1,5]=>[[1,2,3,4,5],[6,8],[7]]=>16
[4,7,6,2,8,5,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[5,8,7,3,2,4,1,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[4,6,5,8,7,3,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[8,3,1,7,2,6,4,5]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[4,5,1,2,8,7,3,6]=>[[1,2,5,8],[3,4,6],[7]]=>11
[5,6,1,2,8,3,7,4]=>[[1,2,5,7],[3,4,6],[8]]=>12
[5,8,7,1,6,2,4,3]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[8,4,5,1,7,6,2,3]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[6,3,1,4,8,2,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>11
[8,5,6,1,7,2,4,3]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[7,5,6,1,3,8,4,2]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[5,7,6,1,3,8,4,2]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[6,7,1,4,2,8,5,3]=>[[1,2,6],[3,4,7],[5,8]]=>15
[1,5,7,8,4,2,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>17
[1,3,6,4,2,5,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>7
[1,4,5,7,8,3,6,2]=>[[1,2,3,4,5],[6,7],[8]]=>17
[1,5,7,8,3,6,2,4]=>[[1,2,3,4],[5,6],[7,8]]=>20
[1,5,7,8,2,4,3,6]=>[[1,2,3,4],[5,6,8],[7]]=>18
[6,8,4,7,3,2,1,5]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[6,8,5,4,2,7,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[1,8,4,6,3,2,7,5]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[6,4,8,5,3,2,1,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[3,5,6,1,4,2,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[1,6,3,8,4,2,7,5]=>[[1,2,4,7],[3,5],[6,8]]=>16
[7,1,3,2,4,6,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>8
[2,6,5,7,8,3,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[4,1,8,2,6,7,5,3]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[3,6,7,8,2,1,4,5]=>[[1,2,3,4],[5,7,8],[6]]=>17
[2,5,7,1,6,3,4,8]=>[[1,2,3,8],[4,5,7],[6]]=>14
[4,2,8,3,6,5,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[6,3,8,7,2,4,5,1]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[7,6,1,8,2,4,5,3]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[2,5,6,3,4,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>16
[5,2,4,7,8,6,1,3]=>[[1,3,4,5],[2,6],[7,8]]=>16
[7,2,1,3,4,8,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>6
[2,4,5,7,1,8,6,3]=>[[1,2,3,4,6],[5,7],[8]]=>16
[8,1,6,2,3,4,7,5]=>[[1,3,5,6,7],[2,8],[4]]=>8
[6,1,4,2,5,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>8
[1,8,3,4,5,2,7,6]=>[[1,2,4,5,7],[3,8],[6]]=>12
[1,8,3,6,4,7,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[1,4,7,2,5,6,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>12
[7,3,5,8,2,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[3,4,8,6,7,2,1,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[3,4,8,2,5,1,7,6]=>[[1,2,3,7],[4,5],[6,8]]=>17
[1,7,2,5,8,4,3,6]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[1,4,6,7,8,3,5,2]=>[[1,2,3,4,5],[6,7],[8]]=>17
[4,1,5,3,6,8,7,2]=>[[1,3,5,6],[2,4,7],[8]]=>11
[5,8,7,4,6,2,3,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>22
[1,6,8,3,5,2,7,4]=>[[1,2,3,7],[4,5],[6,8]]=>17
[7,2,1,8,6,4,5,3]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[2,4,7,8,5,6,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>20
[2,6,3,8,5,1,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>16
[2,8,5,4,1,3,7,6]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[5,4,6,3,1,7,2,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[4,3,6,5,1,8,2,7]=>[[1,3,6],[2,4,8],[5,7]]=>12
[1,5,6,8,7,3,2,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[1,4,8,3,6,5,2,7]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[1,3,8,6,4,7,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[1,2,8,6,4,3,7,5]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[4,1,7,6,8,3,2,5]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[1,8,4,7,6,2,3,5]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[7,2,3,8,4,5,6,1]=>[[1,3,4,6,7],[2,5],[8]]=>10
[5,8,4,3,7,2,1,6]=>[[1,2],[3,5],[4,8],[6],[7]]=>21
[6,1,2,8,7,3,4,5]=>[[1,3,4,7,8],[2,5],[6]]=>8
[4,5,1,7,6,2,8,3]=>[[1,2,4,7],[3,5,8],[6]]=>14
[6,5,1,8,7,4,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[7,5,1,8,6,4,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[8,5,1,7,6,4,3,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>22
[8,5,3,7,6,1,4,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[3,8,7,6,1,5,4,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>24
[8,3,7,5,4,1,6,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[4,5,3,1,8,7,2,6]=>[[1,2,5],[3,6,8],[4,7]]=>15
[3,4,8,1,5,2,6,7]=>[[1,2,3,7,8],[4,5],[6]]=>11
[8,6,5,7,1,3,2,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[1,5,8,6,2,7,4,3]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[3,1,8,5,7,2,6,4]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[6,8,5,3,4,2,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[8,5,2,6,4,3,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[8,5,2,6,1,4,7,3]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[2,7,5,8,1,4,6,3]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[3,2,6,7,1,8,5,4]=>[[1,3,4,6],[2,7],[5,8]]=>12
[3,4,6,7,8,2,1,5]=>[[1,2,3,4,5],[6,8],[7]]=>16
[3,2,6,7,8,4,1,5]=>[[1,3,4,5],[2,6,8],[7]]=>13
[6,2,7,4,8,5,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>15
[6,7,1,3,8,5,4,2]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[6,7,1,8,5,2,4,3]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[1,6,7,4,8,3,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[1,4,6,7,8,3,2,5]=>[[1,2,3,4,5],[6,8],[7]]=>16
[8,7,2,1,5,4,6,3]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[2,7,4,8,6,5,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[7,6,5,2,4,1,8,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[7,6,4,3,1,5,8,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[6,1,8,7,2,3,5,4]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[8,6,1,2,7,3,4,5]=>[[1,4,5,7,8],[2,6],[3]]=>5
[3,6,8,2,7,1,5,4]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[2,8,6,1,4,5,7,3]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[6,8,7,2,5,4,1,3]=>[[1,2],[3,5],[4,8],[6],[7]]=>21
[3,5,7,9,1,2,4,6,8,10]=>[[1,2,3,4,9,10],[5,6,7,8]]=>16
[4,1,2,3,5,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>1
[5,1,2,3,4,6,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>1
[8,1,2,3,4,5,6,7,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>1
[7,1,2,3,4,5,6,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>1
[6,1,2,3,4,5,7,8,9,10]=>[[1,3,4,5,6,7,8,9,10],[2]]=>1
[3,2,6,4,8,7,5,1]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[4,7,2,8,6,5,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[4,7,1,8,6,5,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[2,7,4,8,3,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[4,7,3,8,6,1,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[4,3,6,8,7,2,5,1]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[4,3,8,2,5,7,6,1]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[4,1,2,6,8,7,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[3,1,6,4,8,7,2,5]=>[[1,3,5],[2,4,6],[7,8]]=>15
[4,1,6,8,7,5,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[3,8,1,4,5,7,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>12
[3,8,1,4,2,5,7,6]=>[[1,2,6,7],[3,4,8],[5]]=>10
[4,1,8,3,5,2,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>13
[3,8,1,2,5,4,7,6]=>[[1,2,5,7],[3,4,8],[6]]=>11
[4,2,3,6,8,7,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>16
[4,2,8,3,5,1,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>13
[4,2,8,3,5,7,6,1]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[3,8,2,4,5,7,6,1]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[3,8,2,5,1,4,7,6]=>[[1,2,7],[3,4,8],[5,6]]=>13
[4,2,8,5,7,1,3,6]=>[[1,3,5],[2,4,8],[6,7]]=>13
[3,8,1,5,2,4,7,6]=>[[1,2,6,7],[3,4,8],[5]]=>10
[7,5,6,4,1,3,2,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[7,8,6,4,1,3,2,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[7,1,4,2,5,6,3,8]=>[[1,3,5,6,8],[2,7],[4]]=>7
[7,3,2,1,4,6,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[7,6,1,4,3,2,5,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[7,4,1,3,5,6,2,8]=>[[1,4,5,6,8],[2],[3],[7]]=>9
[2,7,1,3,5,6,8,4]=>[[1,2,5,6,7],[3,4],[8]]=>11
[3,6,2,1,5,8,7,4]=>[[1,2,6],[3,5,7],[4,8]]=>13
[2,3,6,1,5,8,7,4]=>[[1,2,3,6],[4,5,7],[8]]=>17
[3,4,7,1,5,6,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>13
[3,6,7,4,1,2,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>14
[4,3,2,7,1,6,8,5]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[7,3,2,8,1,6,4,5]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[7,4,8,1,5,6,3,2]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[2,6,8,1,5,3,7,4]=>[[1,2,3],[4,5,7],[6,8]]=>20
[6,8,2,1,5,3,7,4]=>[[1,2,7],[3,5,8],[4,6]]=>11
[4,8,2,5,3,6,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[4,5,8,2,3,6,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>16
[2,4,8,5,3,6,7,1]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[5,3,2,6,4,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[2,4,5,3,8,6,7,1]=>[[1,2,3,5,7],[4,6],[8]]=>14
[4,3,5,2,8,6,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[4,8,5,3,2,6,7,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>16
[3,5,4,2,8,6,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[4,1,2,7,5,6,8,3]=>[[1,3,4,6,7],[2,5],[8]]=>10
[5,6,7,4,2,8,3,1]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[2,5,7,4,6,8,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[7,5,2,4,3,8,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[6,8,1,2,5,4,7,3]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[6,4,1,8,5,2,7,3]=>[[1,4,7],[2,5,8],[3,6]]=>7
[2,6,1,8,5,4,7,3]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[7,1,2,8,5,6,4,3]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[4,3,2,6,8,5,7,1]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[3,7,6,4,8,5,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[3,1,6,8,5,4,7,2]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[2,3,5,8,4,6,7,1]=>[[1,2,3,4,7],[5,6],[8]]=>15
[3,5,2,8,4,6,7,1]=>[[1,2,4,7],[3,5,6],[8]]=>15
[3,4,5,8,2,6,7,1]=>[[1,2,3,4,7],[5,6],[8]]=>15
[5,4,2,8,3,6,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[5,3,4,8,2,6,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[2,5,4,8,3,6,7,1]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[6,3,2,5,8,4,7,1]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[6,1,8,3,5,4,7,2]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[5,4,8,3,2,6,7,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[5,8,2,3,4,6,7,1]=>[[1,2,5,6,7],[3,4],[8]]=>11
[6,2,1,7,8,5,4,3]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[7,4,6,8,3,2,5,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[3,4,5,2,7,1,6,8]=>[[1,2,3,5,8],[4,7],[6]]=>12
[7,5,6,1,2,3,8,4]=>[[1,3,6,7],[2,5,8],[4]]=>7
[1,5,7,6,3,2,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[8,4,6,7,3,2,5,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[8,4,6,2,3,1,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[7,5,2,1,4,3,8,6]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[3,1,7,8,5,4,2,6]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[3,4,5,2,1,8,6,7]=>[[1,2,3,6,8],[4,7],[5]]=>11
[7,6,4,8,3,1,2,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[7,4,8,5,6,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>13
[6,2,8,5,1,3,4,7]=>[[1,3,7,8],[2,4],[5,6]]=>10
[3,2,7,8,6,1,4,5]=>[[1,3,4],[2,5,8],[6,7]]=>15
[6,8,2,5,1,3,7,4]=>[[1,2,7],[3,4,8],[5,6]]=>13
[6,7,4,2,1,5,3,8]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[5,7,4,1,3,6,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[4,2,7,5,1,8,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>12
[4,1,6,5,3,8,2,7]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[1,5,4,6,3,8,2,7]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[1,8,6,4,7,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[4,7,1,8,6,3,5,2]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[5,4,8,1,7,3,6,2]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[4,3,8,6,2,1,7,5]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[8,3,6,2,4,1,7,5]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[7,8,3,2,4,6,5,1]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[7,2,8,5,3,1,6,4]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[2,5,4,8,7,3,6,1]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[6,4,2,8,7,3,1,5]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[3,6,8,1,7,4,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[7,8,6,3,1,4,5,2]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[3,8,6,1,7,5,2,4]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[2,7,5,4,8,3,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[6,8,7,5,2,1,3,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[7,6,2,8,5,1,3,4]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[1,5,7,6,2,8,4,3]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[1,6,5,2,7,8,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[4,7,8,5,6,2,3,1]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[6,7,8,4,2,1,5,3]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[4,7,8,1,2,5,6,3]=>[[1,2,3,7],[4,5,6],[8]]=>16
[8,6,4,1,2,5,7,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[6,1,4,7,2,5,8,3]=>[[1,3,4,7],[2,6],[5,8]]=>11
[6,7,8,3,5,4,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[5,6,3,2,7,4,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[2,6,4,3,7,5,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[7,2,3,6,1,8,4,5]=>[[1,3,4,6],[2,7,8],[5]]=>11
[3,4,6,5,7,1,2,8]=>[[1,2,3,5,8],[4,7],[6]]=>12
[7,6,2,3,5,4,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>15
[8,5,2,4,3,6,1,7]=>[[1,4,6,8],[2],[3],[5],[7]]=>13
[8,5,7,2,4,1,6,3]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[7,4,8,2,1,5,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[2,3,6,7,8,5,1,4]=>[[1,2,3,4,5],[6,8],[7]]=>16
[8,3,7,1,6,4,2,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[8,2,1,7,6,5,3,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[6,5,1,2,8,3,4,7]=>[[1,4,5,7,8],[2,6],[3]]=>5
[5,6,8,1,3,7,2,4]=>[[1,2,3],[4,5,6],[7,8]]=>21
[1,6,8,5,3,2,4,7]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[5,8,1,6,7,4,2,3]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[7,2,8,4,6,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>13
[6,2,7,4,3,8,1,5]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[1,7,8,4,6,2,3,5]=>[[1,2,3,8],[4,5],[6,7]]=>16
[7,1,8,4,6,2,3,5]=>[[1,3,5,8],[2,4],[6,7]]=>12
[8,1,6,5,4,7,2,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[4,1,6,8,7,3,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[5,1,4,6,7,3,8,2]=>[[1,3,4,5,7],[2],[6],[8]]=>13
[7,1,3,4,6,2,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>10
[3,4,1,6,2,5,8,7,10,9]=>[[1,2,4,7,9],[3,5,6,8,10]]=>10
[8,7,1,4,6,3,2,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[1,4,7,5,8,6,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[6,1,8,3,4,7,2,5]=>[[1,3,5,6],[2,4],[7,8]]=>14
[1,8,6,3,5,2,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[4,7,1,6,8,3,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[3,6,5,2,8,4,1,7]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[7,1,8,4,2,5,3,6]=>[[1,3,6,8],[2,4],[5,7]]=>11
[1,4,8,7,5,2,6,3]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[1,5,6,4,2,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>10
[5,8,7,4,2,1,3,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[1,8,7,3,2,5,4,6]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[1,2,5,4,8,7,3,6]=>[[1,2,3,5],[4,6],[7,8]]=>19
[1,2,4,8,6,3,5,7]=>[[1,2,3,4,8],[5,7],[6]]=>13
[1,5,2,4,7,3,8,6]=>[[1,2,4,5,7],[3,8],[6]]=>12
[8,6,3,5,7,4,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[8,5,3,2,1,4,7,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[1,2,7,6,8,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[1,6,3,2,5,7,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>10
[1,7,3,4,2,6,8,5]=>[[1,2,4,6,7],[3,8],[5]]=>11
[1,6,3,5,8,4,2,7]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[1,5,6,3,2,8,4,7]=>[[1,2,3,6],[4,7,8],[5]]=>15
[1,2,5,8,4,6,3,7]=>[[1,2,3,4,8],[5,6],[7]]=>14
[1,5,3,2,7,8,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>13
[4,1,8,6,2,3,7,5]=>[[1,3,6,7],[2,4,8],[5]]=>8
[7,5,8,6,2,3,4,1]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[1,7,6,4,3,8,5,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[1,8,5,7,6,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[1,4,7,3,6,8,5,2]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[1,6,3,5,7,8,4,2]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[1,5,6,3,2,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>12
[1,2,7,6,8,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[1,8,4,7,5,3,2,6]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[6,8,5,2,1,7,4,3]=>[[1,2],[3,6],[4,7],[5,8]]=>18
[1,2,6,8,4,3,7,5]=>[[1,2,3,4],[5,7],[6,8]]=>18
[5,3,7,2,6,4,1,8]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[7,6,2,5,3,4,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>13
[7,6,2,4,5,3,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[7,6,2,4,3,5,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>13
[7,6,2,3,5,4,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[8,4,2,7,1,6,3,5]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[8,7,6,1,5,3,2,4]=>[[1,5,8],[2],[3],[4],[6],[7]]=>17
[8,7,6,1,4,3,5,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18
[8,7,6,1,3,5,4,2]=>[[1,5,6],[2],[3],[4],[7],[8]]=>19
[8,7,6,1,5,4,2,3]=>[[1,5,8],[2],[3],[4],[6],[7]]=>17
[8,6,2,7,1,5,3,4]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[5,3,7,2,8,1,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[8,3,5,4,2,1,6,7]=>[[1,3,7,8],[2],[4],[5],[6]]=>13
[7,8,4,3,1,5,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[8,7,6,1,2,5,3,4]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[8,7,6,1,2,5,4,3]=>[[1,5,6],[2],[3],[4],[7],[8]]=>19
[8,7,6,1,4,2,5,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[4,7,5,8,6,1,3,2]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[6,5,7,3,8,4,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[8,7,5,4,1,2,6,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[8,6,7,1,5,3,2,4]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[5,7,1,3,4,2,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>11
[7,3,5,6,4,8,1,2]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[1,5,3,7,8,4,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>17
[1,5,7,3,8,2,6,4]=>[[1,2,3,5],[4,7],[6,8]]=>17
[1,3,7,5,8,6,2,4]=>[[1,2,3,5],[4,6],[7,8]]=>19
[3,7,5,8,4,1,2,6]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[5,3,7,6,8,1,2,4]=>[[1,3,5],[2,4,8],[6,7]]=>13
[3,1,2,7,5,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>12
[3,1,2,5,7,8,6,4]=>[[1,3,4,5,6],[2,7],[8]]=>12
[3,7,1,2,8,5,6,4]=>[[1,2,5,7],[3,4,6],[8]]=>12
[5,3,1,7,4,6,8,2]=>[[1,4,6,7],[2,5],[3,8]]=>8
[2,4,7,3,5,6,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>12
[5,7,6,4,2,3,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[5,8,2,4,6,1,3,7]=>[[1,2,5,8],[3,4],[6,7]]=>14
[6,1,4,8,5,2,7,3]=>[[1,3,4,7],[2,5],[6,8]]=>14
[3,4,5,8,1,6,7,2]=>[[1,2,3,4,7],[5,6],[8]]=>15
[5,6,8,4,7,3,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[3,1,6,8,5,2,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>16
[2,3,8,1,5,6,4,7]=>[[1,2,3,6,8],[4,5],[7]]=>12
[5,4,8,1,2,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>9
[4,1,8,2,3,6,7,5]=>[[1,3,5,6,7],[2,4],[8]]=>9
[5,2,3,8,1,7,4,6]=>[[1,3,4,8],[2,6],[5,7]]=>10
[1,5,3,8,2,4,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>9
[8,6,2,7,5,1,4,3]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[2,7,1,8,6,3,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[5,7,6,1,3,2,8,4]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[3,5,4,6,1,7,8,2]=>[[1,2,4,6,7],[3,8],[5]]=>11
[8,1,5,4,6,3,7,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[2,7,1,5,6,4,3,8]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[8,4,2,5,6,3,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[5,4,7,2,8,6,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[3,5,6,4,1,7,2,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[2,5,6,1,7,4,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>13
[2,7,1,8,6,5,4,3]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[3,7,6,1,8,5,4,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[8,6,4,2,1,3,5,7,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>10
[8,6,2,1,4,3,5,7,9]=>[[1,5,7,8,9],[2,6],[3],[4]]=>7
[8,4,2,1,6,3,5,7,9]=>[[1,5,7,8,9],[2,6],[3],[4]]=>7
[6,4,2,1,8,3,5,7,9]=>[[1,5,7,8,9],[2,6],[3],[4]]=>7
[8,6,4,2,9,1,3,5,7]=>[[1,5,8,9],[2,7],[3],[4],[6]]=>12
[9,6,4,2,7,1,3,5,8]=>[[1,5,8,9],[2,7],[3],[4],[6]]=>12
[9,7,4,2,5,1,3,6,8]=>[[1,5,8,9],[2,7],[3],[4],[6]]=>12
[9,7,5,3,1,2,4,6,8]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>10
[10,8,6,4,2,1,3,5,7,9]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>15
[10,8,6,2,1,4,3,5,7,9]=>[[1,6,8,9,10],[2,7],[3],[4],[5]]=>11
[8,2,1,4,3,6,5,7,9]=>[[1,4,6,8,9],[2,5,7],[3]]=>5
[10,8,4,2,1,6,3,5,7,9]=>[[1,6,8,9,10],[2,7],[3],[4],[5]]=>11
[10,6,4,2,1,8,3,5,7,9]=>[[1,6,8,9,10],[2,7],[3],[4],[5]]=>11
[8,6,4,2,1,10,3,5,7,9]=>[[1,6,8,9,10],[2,7],[3],[4],[5]]=>11
[6,4,2,7,1,3,5,8,9]=>[[1,4,7,8,9],[2,6],[3],[5]]=>8
[8,6,4,2,9,1,3,5,7,10]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>12
[6,2,8,3,1,4,5,7]=>[[1,3,6,7,8],[2,4],[5]]=>6
[9,6,4,2,7,1,3,5,8,10]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>12
[2,7,8,3,1,4,5,6]=>[[1,2,3,7,8],[4,6],[5]]=>10
[9,7,4,2,5,1,3,6,8,10]=>[[1,5,8,9,10],[2,7],[3],[4],[6]]=>12
[9,7,4,5,1,2,3,6,8]=>[[1,4,7,8,9],[2,6],[3],[5]]=>8
[9,7,5,3,1,2,4,6,8,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>10
[1,5,3,2,8,6,7,4]=>[[1,2,5,7],[3,6],[4,8]]=>13
[1,8,5,3,2,6,7,4]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[1,5,6,7,3,2,8,4]=>[[1,2,3,4,7],[5,8],[6]]=>14
[1,7,5,2,3,4,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>10
[1,7,5,2,4,8,6,3]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[1,6,7,8,3,2,4,5]=>[[1,2,3,4],[5,7,8],[6]]=>17
[1,4,8,6,2,3,5,7]=>[[1,2,3,7,8],[4,6],[5]]=>10
[1,8,4,5,6,7,2,3]=>[[1,2,4,5,6],[3,8],[7]]=>13
[1,2,8,6,3,5,7,4]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[1,2,7,8,4,3,5,6]=>[[1,2,3,4,8],[5,7],[6]]=>13
[1,8,6,7,4,2,3,5]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[1,6,7,8,4,2,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>17
[1,6,7,8,3,4,2,5]=>[[1,2,3,4],[5,6,8],[7]]=>18
[1,7,4,2,3,8,5,6]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,7,8,4,2,3,5,6]=>[[1,2,3,7,8],[4,6],[5]]=>10
[1,7,3,5,6,2,8,4]=>[[1,2,4,5,7],[3,8],[6]]=>12
[1,7,8,3,4,2,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>11
[1,2,3,7,8,5,4,6]=>[[1,2,3,4,5],[6,8],[7]]=>16
[1,2,7,4,6,3,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>13
[1,7,8,4,5,2,3,6]=>[[1,2,3,8],[4,5],[6,7]]=>16
[1,7,8,3,4,5,2,6]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,2,8,4,5,6,3,7]=>[[1,2,3,5,6,8],[4],[7]]=>9
[1,8,4,5,6,2,3,7]=>[[1,2,4,5,8],[3,7],[6]]=>11
[5,8,2,7,3,4,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[6,8,7,2,3,4,1,5]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[3,8,7,5,2,6,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[4,8,7,3,2,5,1,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[5,3,8,1,6,7,4,2]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[5,8,2,1,3,7,6,4]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[5,1,8,3,6,7,4,2]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[3,1,8,4,6,2,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>9
[8,4,1,6,5,2,3,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[1,8,7,6,4,3,5,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>21
[6,1,8,7,5,3,4,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[6,8,7,3,2,4,1,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[2,3,7,5,6,8,4,1]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[3,2,4,7,5,8,1,6]=>[[1,3,4,6],[2,5,8],[7]]=>12
[2,8,7,6,4,5,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[4,8,7,6,3,1,5,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>19
[3,5,2,4,7,6,8,1]=>[[1,2,5,7],[3,4,6],[8]]=>12
[5,3,2,6,4,7,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[5,3,2,6,7,4,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[5,3,2,7,6,4,8,1]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[7,3,5,2,8,4,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[3,5,2,7,4,6,8,1]=>[[1,2,4,7],[3,5,6],[8]]=>15
[3,2,5,7,4,6,8,1]=>[[1,3,4,7],[2,5,6],[8]]=>12
[3,2,7,5,4,8,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[3,7,5,2,4,8,6,1]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[2,3,7,5,4,8,6,1]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[3,4,7,6,8,2,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[5,2,8,4,1,3,6,7]=>[[1,3,7,8],[2,4],[5,6]]=>10
[3,8,5,2,1,4,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[7,6,4,1,8,2,5,3]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[7,5,4,2,1,6,3,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,1,6,7,3,4,2,5]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[8,2,1,6,7,4,3,5]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[5,2,8,6,3,7,1,4]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[7,6,8,1,2,5,4,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[1,2,9,3,4,5,6,8,7]=>[[1,2,3,5,6,7,8],[4],[9]]=>11
[1,2,3,8,4,5,9,6,7]=>[[1,2,3,4,6,7,9],[5,8]]=>10
[1,2,3,4,9,5,6,8,7]=>[[1,2,3,4,5,7,8],[6],[9]]=>13
[2,1,3,4,8,5,7,6]=>[[1,3,4,5,7],[2,6],[8]]=>11
[1,2,3,4,5,9,6,8,7]=>[[1,2,3,4,5,6,8],[7],[9]]=>14
[1,2,3,9,4,5,6,10,7,8]=>[[1,2,3,4,6,7,8,10],[5,9]]=>11
[1,2,3,4,5,6,9,10,7,8]=>[[1,2,3,4,5,6,7,8],[9,10]]=>16
[5,7,1,2,6,8,3,4]=>[[1,2,5,6],[3,4,8],[7]]=>12
[1,5,2,3,6,8,7,4]=>[[1,2,4,5,6],[3,7],[8]]=>14
[3,5,7,4,1,8,2,6]=>[[1,2,3,6],[4,7,8],[5]]=>15
[8,6,4,7,5,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[8,6,4,1,2,5,3,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[2,8,4,3,1,6,5,7]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[3,8,4,6,1,5,2,7]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[8,3,5,6,1,4,7,2]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[6,8,7,3,5,4,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>25
[3,1,2,8,5,7,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>12
[7,3,1,2,5,8,4,6]=>[[1,4,5,6],[2,7,8],[3]]=>9
[8,3,5,7,2,1,4,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[2,1,3,8,5,7,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>12
[7,3,1,2,8,4,5,6]=>[[1,4,5,7,8],[2,6],[3]]=>5
[2,1,4,7,6,3,5,8]=>[[1,3,4,8],[2,5,7],[6]]=>10
[7,2,4,5,3,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[8,4,2,5,6,7,3,1]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[5,4,1,6,3,7,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[4,5,1,3,6,7,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>11
[5,1,7,6,3,4,8,2]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[6,1,7,5,4,8,2,3]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[3,7,2,1,6,8,4,5]=>[[1,2,6],[3,5,8],[4,7]]=>12
[1,5,8,2,4,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[5,8,1,6,4,7,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[3,8,6,5,7,2,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[6,8,1,4,7,3,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[1,6,8,2,7,4,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[5,7,2,1,8,4,3,6]=>[[1,2,5],[3,6,8],[4,7]]=>15
[5,7,1,6,8,3,2,4]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[5,6,2,1,8,3,4,7]=>[[1,2,5,8],[3,6,7],[4]]=>11
[6,4,1,7,3,8,2,5]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[8,2,5,6,7,1,4,3]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[7,2,4,6,8,3,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[6,2,4,7,8,1,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>12
[6,1,4,3,2,8,5,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[2,7,4,8,6,1,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[2,4,8,6,5,7,3,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>20
[3,7,8,6,4,2,5,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[6,2,8,4,7,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[1,4,7,2,6,8,5,3]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[4,2,8,5,1,6,3,7]=>[[1,3,6,8],[2,4],[5,7]]=>11
[6,5,8,1,4,2,3,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[2,3,8,4,1,6,5,7]=>[[1,2,3,6,8],[4,7],[5]]=>11
[4,5,7,3,1,6,2,8]=>[[1,2,3,8],[4,6],[5,7]]=>14
[5,1,8,7,4,6,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[2,4,8,7,5,1,3,6]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[3,5,7,6,1,8,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[3,5,7,6,2,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[1,5,3,2,8,7,6,4]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[6,1,4,3,8,7,5,2]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[6,3,1,8,7,4,2,5]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[5,3,6,2,8,7,4,1]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[6,3,5,2,1,8,7,4]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[2,8,4,1,3,7,6,5]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[6,2,3,8,7,5,4,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[4,1,3,5,8,7,6,2]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[3,4,7,5,8,1,2,6]=>[[1,2,3,5],[4,7,8],[6]]=>16
[2,7,8,3,4,1,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>11
[2,8,6,7,5,4,3,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[7,2,6,8,1,4,3,5]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[5,3,6,2,8,4,7,1]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[8,1,6,3,7,4,5,2]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[2,4,3,7,1,8,6,5]=>[[1,2,4,6],[3,7],[5,8]]=>15
[2,6,5,7,3,8,4,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[6,8,2,7,4,1,5,3]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[6,1,7,8,5,3,2,4]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[2,6,5,4,7,1,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[5,8,3,4,6,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>15
[6,1,7,4,2,5,8,3]=>[[1,3,6,7],[2,4],[5,8]]=>12
[6,8,7,1,5,4,2,3]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[4,8,3,1,5,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[5,3,8,2,7,1,6,4]=>[[1,3],[2,5],[4,7],[6,8]]=>15
[8,3,4,5,2,7,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[7,1,5,2,6,3,4,8]=>[[1,3,5,7,8],[2,6],[4]]=>6
[3,7,1,5,2,6,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>10
[6,7,1,8,3,4,5,2]=>[[1,2,4,7],[3,5,6],[8]]=>15
[3,7,1,6,8,4,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[3,8,5,2,6,7,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[3,6,5,2,7,1,4,8]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[3,7,1,6,5,2,8,4]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[8,3,5,2,7,1,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[3,8,6,4,7,1,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[3,7,1,4,8,6,5,2]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[3,7,1,4,5,2,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>11
[2,3,7,6,5,8,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[3,5,7,6,8,2,1,4]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[4,2,5,3,7,6,1,8]=>[[1,3,5,8],[2,4,6],[7]]=>9
[6,2,4,3,7,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[1,3,6,4,7,5,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>13
[8,2,5,3,6,4,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[7,2,5,3,6,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[6,2,5,3,7,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[4,2,6,3,7,5,1,8]=>[[1,3,5,8],[2,4,6],[7]]=>9
[5,2,7,3,6,4,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[7,3,6,2,5,4,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[6,3,8,2,5,4,1,7]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[7,3,1,4,6,5,2,8]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[8,3,7,2,5,4,1,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[5,2,8,3,6,4,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[3,2,8,4,6,5,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[1,4,7,3,6,5,2,8]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[8,2,5,4,1,6,3,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[8,2,6,4,1,5,3,7]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[1,4,8,3,7,5,2,6]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[6,2,1,4,8,5,3,7]=>[[1,4,5,8],[2,6],[3,7]]=>8
[5,2,1,4,8,6,3,7]=>[[1,4,5,8],[2,6],[3,7]]=>8
[3,2,1,5,8,6,4,7]=>[[1,4,5,8],[2,6],[3,7]]=>8
[4,2,8,3,7,5,1,6]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[5,2,8,3,7,4,1,6]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[8,3,7,2,6,4,1,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[7,3,1,4,8,5,2,6]=>[[1,4,5,8],[2,6],[3,7]]=>8
[1,3,7,4,8,5,2,6]=>[[1,2,3,5,8],[4,6],[7]]=>13
[8,2,6,3,7,4,1,5]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[7,2,6,3,8,4,1,5]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[5,2,7,3,8,4,1,6]=>[[1,3,5,8],[2,4,6],[7]]=>9
[3,2,7,4,8,5,1,6]=>[[1,3,5,8],[2,4,6],[7]]=>9
[5,2,6,3,8,4,1,7]=>[[1,3,5,8],[2,4,6],[7]]=>9
[6,2,5,3,8,4,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[7,2,5,3,8,4,1,6]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[8,2,5,3,7,4,1,6]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[1,3,6,4,8,5,2,7]=>[[1,2,3,5,8],[4,6],[7]]=>13
[1,3,5,4,8,6,2,7]=>[[1,2,3,5,8],[4,6],[7]]=>13
[8,2,4,3,7,5,1,6]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[7,2,4,3,8,5,1,6]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[6,2,4,3,8,5,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[5,2,4,3,8,6,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[4,2,5,3,8,6,1,7]=>[[1,3,5,8],[2,4,6],[7]]=>9
[4,2,5,3,1,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>7
[6,2,4,3,1,7,5,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[7,2,4,3,1,6,5,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[8,5,1,3,6,4,2,7]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[8,4,1,3,6,5,2,7]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[1,5,2,4,7,6,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>12
[7,2,5,3,1,6,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[6,2,5,3,1,7,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[4,2,6,3,1,7,5,8]=>[[1,3,6,8],[2,4,7],[5]]=>7
[3,2,6,4,1,7,5,8]=>[[1,3,6,8],[2,4,7],[5]]=>7
[3,2,7,4,1,6,5,8]=>[[1,3,6,8],[2,4],[5,7]]=>11
[4,2,7,3,1,6,5,8]=>[[1,3,6,8],[2,4],[5,7]]=>11
[5,2,7,3,1,6,4,8]=>[[1,3,6,8],[2,4],[5,7]]=>11
[6,2,7,3,1,5,4,8]=>[[1,3,6,8],[2,4],[5,7]]=>11
[7,2,6,3,1,5,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[1,5,2,4,8,6,3,7]=>[[1,2,4,5,8],[3,6],[7]]=>12
[8,4,1,3,7,5,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[6,2,1,5,3,7,4,8]=>[[1,4,6,8],[2,5,7],[3]]=>5
[3,2,1,6,4,7,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>5
[3,2,8,5,1,6,4,7]=>[[1,3,6,8],[2,4],[5,7]]=>11
[6,2,8,4,1,5,3,7]=>[[1,3,6,8],[2,4],[5,7]]=>11
[8,3,7,4,1,5,2,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[7,1,3,2,5,6,4,8]=>[[1,3,5,6,8],[2,7],[4]]=>7
[6,3,5,2,4,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[1,5,2,8,7,4,3,6]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[5,7,2,8,1,4,3,6]=>[[1,2,4],[3,6,8],[5,7]]=>16
[4,8,3,1,5,2,7,6]=>[[1,2,7],[3,5,8],[4,6]]=>11
[7,1,5,3,2,6,8,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[8,7,6,5,3,2,1,4,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>21
[8,7,6,4,3,2,1,5,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>21
[8,7,5,4,3,2,1,6,9]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>21
[8,7,6,5,4,1,2,3,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>15
[9,8,7,6,5,4,2,1,3,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28
[9,8,7,6,5,3,2,1,4,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28
[9,8,7,6,4,3,2,1,5,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28
[9,8,7,5,4,3,2,1,6,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28
[9,8,6,5,4,3,2,1,7,10]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28
[6,7,5,4,3,2,1,8,9]=>[[1,2,8,9],[3],[4],[5],[6],[7]]=>20
[8,6,2,3,1,5,7,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[1,4,2,7,3,6,8,5]=>[[1,2,4,6,7],[3,5],[8]]=>12
[3,2,1,7,8,5,4,6]=>[[1,4,5],[2,6,8],[3,7]]=>10
[7,3,4,2,1,5,8,6]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[1,7,6,3,2,4,8,5]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[2,1,6,4,7,8,5,3]=>[[1,3,5,6],[2,4,7],[8]]=>11
[1,6,3,2,4,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>10
[1,2,3,7,5,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>15
[1,8,5,3,2,4,7,6]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[4,7,8,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>21
[3,6,7,1,8,4,2,5]=>[[1,2,3,5],[4,6,8],[7]]=>17
[1,3,7,6,2,4,5,8]=>[[1,2,3,7,8],[4,6],[5]]=>10
[2,7,3,8,4,5,6,1]=>[[1,2,4,6,7],[3,5],[8]]=>12
[7,1,4,3,8,5,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[5,6,2,7,8,3,4,1]=>[[1,2,4,5],[3,6,7],[8]]=>17
[7,4,1,8,5,6,2,3]=>[[1,4,6],[2,5,8],[3,7]]=>8
[7,2,5,8,1,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>12
[6,4,8,1,5,7,2,3]=>[[1,3,6],[2,5,8],[4,7]]=>9
[2,7,4,1,3,6,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>9
[6,2,1,4,7,5,8,3]=>[[1,4,5,7],[2,6],[3,8]]=>9
[2,6,1,5,4,7,3,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[2,3,6,8,4,1,7,5]=>[[1,2,3,4],[5,7],[6,8]]=>18
[1,7,2,8,6,3,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[8,4,2,3,7,1,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[5,2,4,8,7,3,1,6]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[3,2,4,6,7,8,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>11
[5,2,6,8,1,3,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>13
[4,8,1,6,3,7,5,2]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[7,1,5,2,6,4,3,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[8,3,5,2,6,1,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[1,8,5,6,2,7,4,3]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[4,2,7,6,1,8,5,3]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[7,2,4,8,6,3,5,1]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[7,3,2,1,8,5,4,6]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[7,3,2,1,6,4,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[3,6,5,2,1,8,4,7]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[6,7,2,4,3,5,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[4,3,8,2,1,5,7,6]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[4,3,2,8,1,6,7,5]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[4,5,8,3,2,7,1,6]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[6,8,5,2,7,3,4,1]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[5,4,7,8,2,3,6,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[4,3,8,2,1,6,7,5]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[9,1,3,4,5,6,7,8,2]=>[[1,3,4,5,6,7,8],[2],[9]]=>9
[3,5,7,4,6,2,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[5,3,7,6,2,4,8,1]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[4,6,7,2,5,3,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[6,4,7,8,3,1,5,2]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[8,4,7,3,1,5,6,2]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[5,8,1,7,6,4,2,3]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[5,6,7,1,8,3,4,2]=>[[1,2,3,5],[4,6,7],[8]]=>18
[7,1,8,6,2,5,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[8,5,1,7,6,4,2,3]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[1,5,8,2,6,4,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[1,5,7,4,6,8,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[1,4,7,5,6,8,3,2]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[5,6,7,4,8,1,3,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[8,1,2,6,4,5,7,3]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[4,8,1,7,2,5,6,3]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[2,6,7,1,5,4,8,3]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[3,2,7,6,5,8,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[1,7,3,4,5,8,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>13
[7,1,8,4,5,6,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[1,8,3,4,5,6,9,2,7]=>[[1,2,4,5,6,7],[3,9],[8]]=>15
[1,2,7,4,5,8,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>14
[1,2,3,4,5,6,7,8,9,12,10,11]=>[[1,2,3,4,5,6,7,8,9,10,12],[11]]=>10
[6,7,3,2,5,8,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[6,1,8,4,5,3,7,2]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[4,6,2,5,1,8,7,3]=>[[1,2,6],[3,4,7],[5,8]]=>15
[5,1,4,6,2,8,7,3]=>[[1,3,4,6],[2,7],[5,8]]=>12
[7,3,5,2,1,6,8,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[8,5,1,2,6,3,7,4]=>[[1,4,5,7],[2,6,8],[3]]=>8
[1,5,8,7,4,6,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[5,7,2,1,3,6,8,4]=>[[1,2,6,7],[3,5],[4,8]]=>12
[3,7,2,6,8,1,5,4]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[7,4,8,6,5,1,3,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[2,7,6,8,5,1,4,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[1,6,4,5,7,3,8,2]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[1,5,4,7,8,6,2,3]=>[[1,2,4,5],[3,6],[7,8]]=>18
[7,3,1,6,8,2,5,4]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[7,1,6,8,5,2,4,3]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[3,5,8,7,6,4,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[1,5,7,8,6,2,4,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[3,6,2,1,4,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>9
[6,8,2,7,5,4,3,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>26
[5,8,1,7,6,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>26
[10,8,4,9,1,2,3,5,6,7]=>[[1,4,7,8,9,10],[2,6],[3],[5]]=>8
[3,1,5,2,10,4,6,7,8,9]=>[[1,3,5,7,8,9,10],[2,4,6]]=>3
[2,3,4,5,8,9,1,6,7]=>[[1,2,3,4,5,6],[7,8,9]]=>18
[8,6,3,2,1,5,4,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,5,3,2,4,1,7,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[7,5,2,4,3,6,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>14
[8,5,1,4,6,3,2,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[8,5,1,6,3,4,2,7]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[8,4,3,6,1,5,2,7]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[8,4,3,5,2,1,7,6]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[6,4,3,2,8,7,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[8,5,1,4,3,7,2,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[8,5,4,2,1,3,7,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[4,7,3,6,1,8,5,2]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[7,6,2,4,1,5,8,3]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[8,1,6,3,7,4,2,5]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[5,3,8,2,6,7,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[8,2,5,1,7,6,3,4]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[8,2,4,6,3,7,1,5]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[7,2,6,4,3,5,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>15
[7,3,6,2,4,5,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[8,3,7,2,1,4,6,5]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[7,6,4,1,3,2,8,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[7,3,8,2,1,5,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[6,2,5,7,4,3,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>17
[6,2,5,4,8,7,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[7,2,4,8,5,1,6,3]=>[[1,3,4,7],[2,5],[6,8]]=>14
[4,2,7,6,8,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[7,1,6,2,8,5,4,3]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[7,1,6,3,8,5,2,4]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[7,2,6,8,1,3,5,4]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[7,2,8,5,1,3,6,4]=>[[1,3,7],[2,4,8],[5,6]]=>11
[7,1,8,5,3,2,6,4]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[7,1,8,2,5,6,4,3]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[6,1,5,8,7,2,4,3]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[6,1,5,7,4,8,3,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[6,1,5,7,8,3,4,2]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[4,6,7,3,1,8,5,2]=>[[1,2,3,6],[4,7],[5,8]]=>16
[4,2,6,3,1,8,7,5]=>[[1,3,6],[2,4,7],[5,8]]=>13
[6,1,4,2,5,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>11
[1,5,3,8,4,6,2,7]=>[[1,2,4,6,8],[3,5],[7]]=>11
[7,2,3,5,8,4,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[7,6,4,2,8,5,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[1,7,6,4,8,5,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[8,7,4,2,1,5,6,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[8,2,3,5,1,4,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>7
[8,7,4,1,3,2,6,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[7,1,4,8,3,6,2,5]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[4,1,8,5,7,6,2,3]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[3,7,5,8,4,2,1,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[6,1,5,8,3,4,2,7]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[6,7,5,1,3,2,4,8]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[5,2,6,1,7,3,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>8
[4,2,6,8,3,7,1,5]=>[[1,3,4],[2,5,6],[7,8]]=>17
[6,8,5,1,4,2,3,7]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[7,8,4,5,1,3,6,2]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[1,7,8,5,3,4,6,2]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[1,5,8,3,6,4,7,2]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[6,3,8,1,4,2,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>8
[4,8,1,5,6,3,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[1,8,2,6,5,3,7,4]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[3,8,1,7,2,6,5,4]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[7,3,8,1,2,6,5,4]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[8,1,4,2,3,5,7,6]=>[[1,3,5,6,7],[2,8],[4]]=>8
[8,1,2,4,6,5,7,3]=>[[1,3,4,5,7],[2],[6],[8]]=>13
[5,1,8,3,7,4,6,2]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[8,3,7,1,5,4,6,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,4,7,1,5,3,6,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[7,2,5,3,4,6,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>10
[7,6,4,2,5,3,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[5,8,4,3,6,2,7,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[1,7,2,6,3,4,8,5]=>[[1,2,4,6,7],[3,8],[5]]=>11
[7,5,1,6,3,2,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[7,1,2,6,3,4,5,8]=>[[1,3,4,6,7,8],[2],[5]]=>5
[7,3,1,4,6,2,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>7
[7,1,6,5,4,2,3,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>13
[5,8,4,3,1,7,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[3,6,8,5,2,4,7,1]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[5,7,8,4,3,2,6,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[1,3,8,4,7,2,6,5]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[6,7,1,3,2,8,5,4]=>[[1,2,6],[3,4,7],[5,8]]=>15
[1,5,3,2,6,8,4,7]=>[[1,2,5,6],[3,7,8],[4]]=>13
[3,7,6,5,8,2,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[5,7,4,2,8,6,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[5,4,3,7,8,2,6,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[3,8,5,7,6,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[1,3,6,8,7,2,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[5,8,7,1,4,2,3,6]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[2,6,3,7,1,4,5,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[7,6,8,4,3,1,5,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[1,7,6,5,3,2,4,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[2,7,6,5,4,1,3,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[6,2,3,5,8,4,1,7]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[4,7,6,1,5,8,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[2,3,9,8,7,6,5,4,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>33
[9,1,3,2,4,5,6,7,8]=>[[1,3,5,6,7,8,9],[2],[4]]=>4
[6,8,7,1,5,4,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>25
[8,7,4,6,5,1,3,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>20
[9,10,1,8,7,6,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8],[9],[10]]=>43
[2,4,3,6,5,8,7,10,9,1]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>23
[7,2,6,1,5,8,3,4]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[4,7,3,8,6,2,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[4,7,3,6,8,2,1,5]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[5,4,7,3,8,2,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[8,7,2,4,6,3,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[4,3,5,7,2,6,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[1,7,2,8,5,4,3,6]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[5,4,8,3,6,2,1,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[6,8,2,5,7,1,4,3]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[3,8,6,2,7,5,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[5,8,4,2,7,3,6,1]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[8,2,7,3,4,5,1,6]=>[[1,3,5,6,8],[2],[4],[7]]=>10
[8,1,5,2,4,6,3,7]=>[[1,3,5,6,8],[2],[4],[7]]=>10
[8,6,1,3,4,5,7,2]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[8,5,1,2,4,6,7,3]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[2,6,8,7,3,4,5,1]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[1,7,8,5,6,4,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[8,3,1,2,4,6,7,5]=>[[1,4,5,6,7],[2,8],[3]]=>7
[3,1,7,5,8,2,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>8
[8,1,3,2,4,6,5,7]=>[[1,3,5,6,8],[2,7],[4]]=>7
[8,1,5,6,4,2,3,7]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[8,1,6,5,4,3,2,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>19
[2,6,8,1,5,4,3,7]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[3,5,8,2,1,4,7,6]=>[[1,2,3],[4,6,7],[5,8]]=>18
[4,2,8,5,3,7,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[4,2,7,5,3,8,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[6,4,5,1,8,3,2,7]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[5,4,7,8,3,1,2,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[4,5,8,1,3,7,2,6]=>[[1,2,3],[4,5,6],[7,8]]=>21
[1,5,3,6,8,7,2,4]=>[[1,2,4,5],[3,6],[7,8]]=>18
[7,6,2,8,1,4,3,5]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[4,7,2,6,8,3,5,1]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[6,3,2,8,7,4,5,1]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[7,4,3,8,5,6,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[3,1,5,8,7,6,2,4]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[8,2,1,6,5,7,3,4]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[3,1,8,6,5,7,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[1,2,7,6,4,5,8,3]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[7,2,6,5,1,8,3,4]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[4,2,8,5,6,3,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[4,7,3,2,5,1,6,8]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[4,2,5,3,8,7,1,6]=>[[1,3,5],[2,4,6],[7,8]]=>15
[7,2,5,3,8,4,6,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[8,7,3,2,5,4,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[7,5,6,1,8,3,2,4]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[4,5,6,2,7,3,1,8]=>[[1,2,3,5,8],[4,6],[7]]=>13
[3,5,1,4,6,8,2,7]=>[[1,2,5,6],[3,4,8],[7]]=>12
[8,5,7,4,2,1,3,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[4,6,2,7,5,8,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>17
[7,8,1,4,2,3,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>8
[6,5,2,4,8,7,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[8,5,2,4,1,3,7,6]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[5,1,2,4,3,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>9
[8,6,2,7,5,3,1,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[4,3,8,1,5,2,6,7]=>[[1,3,7,8],[2,5],[4,6]]=>7
[4,1,3,6,7,2,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>10
[7,4,8,6,5,1,2,3]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[3,7,8,6,5,1,2,4]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[8,4,5,7,2,6,3,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[4,5,8,2,7,3,1,6]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[6,5,8,2,7,3,1,4]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[6,4,8,2,7,3,1,5]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[7,8,1,3,6,4,2,5]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[4,5,7,8,3,2,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[5,7,3,4,2,6,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[5,7,4,2,3,6,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[5,4,7,3,2,8,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[6,8,3,2,4,5,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[5,8,3,4,6,1,2,7]=>[[1,2,5,8],[3,4],[6,7]]=>14
[6,4,3,8,5,1,2,7]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[6,4,8,2,3,5,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[5,4,6,8,2,3,1,7]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[5,6,8,4,1,2,3,7]=>[[1,2,3,8],[4,6,7],[5]]=>13
[6,4,8,5,1,2,3,7]=>[[1,3,7,8],[2,4],[5,6]]=>10
[7,4,8,3,1,2,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[5,7,8,2,3,1,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>14
[5,4,7,8,2,1,3,6]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[5,8,6,3,1,2,4,7]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[6,8,5,2,1,3,4,7]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[5,6,1,3,2,4,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>10
[4,3,8,1,2,5,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>9
[4,6,3,2,8,5,7,1]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[5,3,7,2,1,8,6,4]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[5,4,8,3,7,2,1,6]=>[[1,3],[2,5],[4,8],[6],[7]]=>18
[3,6,8,5,2,1,7,4]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[6,1,5,4,7,2,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[5,4,8,3,2,7,1,6]=>[[1,3],[2,6],[4,8],[5],[7]]=>17
[5,4,3,7,8,2,1,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[3,4,5,6,7,8,2,9,1]=>[[1,2,3,4,5,6,8],[7],[9]]=>14
[1,4,5,6,7,8,3,9,2]=>[[1,2,3,4,5,6,8],[7],[9]]=>14
[2,4,5,6,7,8,3,1,9]=>[[1,2,3,4,5,6,9],[7],[8]]=>13
[2,4,5,6,7,8,9,10,3,1]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>17
[1,4,8,6,3,2,7,5]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[4,1,8,6,2,5,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[6,7,2,5,3,8,4,1]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[6,3,4,8,1,2,7,5]=>[[1,3,4],[2,6,7],[5,8]]=>13
[2,6,3,1,5,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>14
[7,1,3,2,6,5,8,4]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[1,3,5,8,4,7,2,6]=>[[1,2,3,4],[5,6],[7,8]]=>20
[2,3,8,7,5,1,6,4]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[4,1,3,5,6,2,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>10
[6,4,8,7,3,5,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[8,2,3,5,6,1,4,7]=>[[1,3,4,5,8],[2,7],[6]]=>9
[3,8,2,7,6,4,1,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[4,3,8,6,2,7,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[8,3,4,5,1,6,7,2]=>[[1,3,4,6,7],[2,8],[5]]=>9
[7,8,1,3,5,4,6,2]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[3,5,7,6,4,8,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[1,3,7,8,5,4,6,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[1,3,2,7,8,5,4,6]=>[[1,2,4,5],[3,6,8],[7]]=>16
[1,5,7,6,8,3,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[6,5,8,4,3,7,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>17
[6,7,3,1,5,2,4,8]=>[[1,2,7,8],[3,5],[4,6]]=>10
[5,2,4,1,8,3,6,7]=>[[1,3,5,8],[2,6,7],[4]]=>8
[2,1,7,4,3,8,5,6]=>[[1,3,6,8],[2,4,7],[5]]=>7
[7,2,3,8,5,4,1,6]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[4,1,5,7,6,3,8,2]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[3,2,1,6,4,8,5,10,7,9]=>[[1,4,6,8,10],[2,5,7,9],[3]]=>6
[3,2,1,10,7,4,9,5,6,8]=>[[1,4,7,9,10],[2,5,8],[3,6]]=>7
[1,4,2,6,3,8,5,10,7,9]=>[[1,2,4,6,8,10],[3,5,7,9]]=>14
[1,10,9,8,7,2,3,4,5,6]=>[[1,2,7,8,9,10],[3],[4],[5],[6]]=>14
[1,4,2,6,3,8,5,10,7,12,9,11]=>[[1,2,4,6,8,10,12],[3,5,7,9,11]]=>20
[1,4,8,2,3,6,5,7]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,4,6,7,3,5,2,8]=>[[1,2,3,4,8],[5,6],[7]]=>14
[1,4,8,2,6,7,5,3]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[1,7,3,2,4,5,6,8]=>[[1,2,5,6,7,8],[3],[4]]=>5
[1,7,3,2,4,5,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>10
[1,6,4,3,2,5,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[4,2,6,5,3,1,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[5,2,1,6,8,7,4,3]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[1,3,5,8,6,2,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>14
[3,7,8,5,4,2,6,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[8,3,2,7,5,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[1,3,8,5,7,4,2,6]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[1,2,3,7,5,4,6,8]=>[[1,2,3,4,7,8],[5],[6]]=>9
[1,4,2,8,6,3,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>10
[2,8,6,3,5,7,4,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[6,1,8,2,5,3,4,7]=>[[1,3,5,7,8],[2,4],[6]]=>7
[1,5,4,2,3,6,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>10
[6,1,5,2,3,4,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>8
[3,1,2,4,8,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>11
[3,1,2,5,8,7,4,6]=>[[1,3,4,5],[2,6,8],[7]]=>13
[6,5,2,1,8,4,7,3]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[5,6,2,4,3,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[3,7,5,2,8,1,4,6]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[5,1,4,7,3,2,8,6]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[4,1,5,8,6,2,3,7]=>[[1,3,4,8],[2,5,7],[6]]=>10
[5,4,8,6,3,7,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[6,5,2,3,1,8,7,4]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[6,4,7,5,3,8,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[5,7,4,8,3,1,6,2]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[4,3,5,1,8,7,2,6]=>[[1,3,5],[2,6,8],[4,7]]=>11
[2,5,3,6,1,8,4,7]=>[[1,2,4,6],[3,7,8],[5]]=>14
[2,5,6,8,3,1,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>18
[7,1,4,5,3,6,2,8]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[1,7,2,4,5,3,6,8]=>[[1,2,4,5,7,8],[3],[6]]=>7
[1,7,4,5,3,2,6,8]=>[[1,2,4,7,8],[3],[5],[6]]=>11
[1,6,4,7,3,5,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[3,5,6,4,8,2,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[1,6,4,7,5,2,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>15
[1,5,2,6,7,4,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>12
[8,5,6,1,4,3,7,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[2,5,4,7,8,3,1,6]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[6,4,5,8,2,3,1,7]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[8,6,1,3,2,5,7,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[7,5,8,1,4,6,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[4,2,6,7,8,1,5,3]=>[[1,3,4,5],[2,7],[6,8]]=>13
[3,4,6,7,8,1,5,2]=>[[1,2,3,4,5],[6,7],[8]]=>17
[4,7,3,8,5,1,6,2]=>[[1,2,4],[3,5,7],[6,8]]=>19
[4,3,2,7,5,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[4,8,5,3,2,6,1,7]=>[[1,2,6,8],[3],[4],[5],[7]]=>15
[2,8,4,5,3,6,1,7]=>[[1,2,4,6,8],[3],[5],[7]]=>12
[8,1,5,3,2,4,7,6]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[7,8,4,1,3,6,5,2]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[8,6,1,3,2,7,4,5]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[7,3,8,2,4,1,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[6,2,3,7,8,1,5,4]=>[[1,3,4,5],[2,7],[6,8]]=>13
[6,3,7,8,1,5,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[2,6,3,7,8,1,5,4]=>[[1,2,4,5],[3,7],[6,8]]=>16
[7,5,8,1,6,4,2,3]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[8,1,4,3,7,5,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[1,4,8,5,3,2,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[8,2,7,6,4,1,5,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[2,7,4,3,8,5,1,6]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[6,8,2,7,3,1,5,4]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[8,2,6,3,4,1,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[6,1,2,8,5,3,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>14
[4,1,5,8,3,6,7,2]=>[[1,3,4,7],[2,5,6],[8]]=>12
[7,5,2,8,1,6,3,4]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[4,8,5,7,1,3,2,6]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[3,4,7,2,1,5,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>14
[4,8,2,7,1,3,6,5]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[8,2,1,7,4,6,3,5]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[4,2,5,8,3,6,7,1]=>[[1,3,4,7],[2,5,6],[8]]=>12
[5,1,6,8,3,2,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>16
[4,1,5,6,8,2,7,3]=>[[1,3,4,5],[2,6,7],[8]]=>14
[4,5,2,8,7,3,1,6]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[4,8,5,3,1,6,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[6,2,3,1,7,8,5,4]=>[[1,3,5,6],[2,7],[4,8]]=>11
[5,2,3,6,8,4,7,1]=>[[1,3,4,5],[2,6,7],[8]]=>14
[6,2,1,7,8,4,3,5]=>[[1,4,5],[2,6,8],[3,7]]=>10
[5,2,1,3,8,4,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>9
[5,2,7,8,4,1,6,3]=>[[1,3,4],[2,5,7],[6,8]]=>16
[6,2,7,8,3,5,4,1]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[5,2,8,6,4,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[5,1,2,8,4,3,7,6]=>[[1,3,4,7],[2,5],[6,8]]=>14
[6,7,8,3,2,5,4,1]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[5,7,2,6,4,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[6,2,3,4,7,8,5,1]=>[[1,3,4,5,6],[2,7],[8]]=>12
[7,2,1,8,4,3,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>6
[6,2,1,3,7,5,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>9
[6,8,7,3,4,5,1,2]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[6,2,3,7,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>12
[1,7,6,4,2,3,5,8]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[1,3,2,5,8,6,4,7]=>[[1,2,4,5,8],[3,6],[7]]=>12
[6,1,4,7,2,8,5,3]=>[[1,3,4,6],[2,7],[5,8]]=>12
[1,6,7,2,4,8,5,3]=>[[1,2,3,6],[4,5,7],[8]]=>17
[5,7,2,4,3,6,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[5,7,3,4,6,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[2,8,3,6,1,7,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>14
[4,3,1,8,5,2,6,7]=>[[1,4,7,8],[2,5],[3,6]]=>6
[1,8,4,5,6,2,7,3]=>[[1,2,4,5,7],[3,8],[6]]=>12
[7,3,8,2,1,4,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[8,2,5,3,1,7,4,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[6,3,5,8,1,7,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[3,5,4,8,6,1,7,2]=>[[1,2,4,7],[3,5],[6,8]]=>16
[7,5,2,3,8,4,6,1]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[2,7,5,1,4,8,3,6]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[5,7,6,1,2,8,3,4]=>[[1,2,6,8],[3,5,7],[4]]=>8
[7,4,6,5,1,8,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[7,1,3,2,6,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>10
[4,3,5,2,8,1,6,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[1,7,3,8,2,4,6,5]=>[[1,2,4,7],[3,6],[5,8]]=>14
[2,7,4,8,5,3,1,6]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[6,1,3,8,4,2,7,5]=>[[1,3,4,7],[2,5],[6,8]]=>14
[5,4,1,8,6,2,7,3]=>[[1,4,7],[2,5,8],[3,6]]=>7
[5,4,6,8,1,3,2,7]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[3,6,1,5,8,4,7,2]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[6,4,8,3,5,7,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[3,5,8,2,4,1,7,6]=>[[1,2,3],[4,5,7],[6,8]]=>20
[7,2,8,4,1,3,6,5]=>[[1,3,7],[2,4,8],[5,6]]=>11
[5,8,1,2,4,3,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>9
[8,4,3,5,7,2,6,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[4,1,5,2,3,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>11
[6,3,5,8,2,4,7,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[2,8,7,1,4,6,3,5]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[1,8,5,3,7,4,2,6]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[7,5,6,2,8,4,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[5,7,6,2,8,1,4,3]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[6,3,8,1,2,5,4,7]=>[[1,3,6,8],[2,5],[4,7]]=>8
[7,6,4,8,5,3,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>22
[8,6,9,7,5,4,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8],[9]]=>32
[3,2,5,4,7,6,1,10,9,8]=>[[1,3,5,8],[2,4,6,9],[7,10]]=>18
[3,2,5,4,1,10,9,8,7,6]=>[[1,3,6],[2,4,7],[5,8],[9],[10]]=>30
[1,4,3,6,5,8,7,10,9,2]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>23
[1,4,3,6,5,10,9,8,7,2]=>[[1,2,4,6],[3,5,7],[8],[9],[10]]=>33
[1,4,3,10,9,8,7,6,5,2]=>[[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>40
[1,6,5,4,3,10,9,8,7,2]=>[[1,2,6],[3,7],[4,8],[5,9],[10]]=>30
[1,5,7,2,4,3,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[1,6,5,3,2,4,7,8]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[1,7,2,4,6,5,3,8]=>[[1,2,4,5,8],[3],[6],[7]]=>13
[1,4,7,2,6,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[1,2,6,8,7,4,3,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[1,2,7,4,3,5,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>12
[1,6,2,8,7,4,3,5]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[1,7,4,2,3,5,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>10
[1,8,5,2,3,6,4,7]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,7,4,8,5,2,3,6]=>[[1,2,4,8],[3,5],[6,7]]=>15
[1,4,7,5,2,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>16
[1,6,3,7,4,2,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>14
[1,8,5,2,7,4,3,6]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[1,4,8,7,5,3,2,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[1,2,5,8,6,3,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>14
[1,2,4,7,5,8,6,3]=>[[1,2,3,4,6],[5,7],[8]]=>16
[1,5,8,7,6,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[1,3,5,8,7,6,2,4]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[1,5,2,4,3,6,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>11
[1,6,8,7,5,3,2,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[1,2,5,7,4,3,8,6]=>[[1,2,3,4,7],[5,8],[6]]=>14
[1,5,3,2,6,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>14
[1,4,2,6,8,7,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[1,5,8,6,3,2,7,4]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[1,8,5,2,6,3,4,7]=>[[1,2,5,7,8],[3,6],[4]]=>8
[1,7,4,6,3,2,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[1,6,3,2,8,5,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>12
[1,3,8,6,4,2,5,7]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[1,5,7,4,2,3,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>14
[6,3,7,5,4,2,8,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[7,5,2,6,3,4,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[3,8,2,7,5,4,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[5,4,8,6,7,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>13
[2,7,3,6,8,5,4,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[3,7,2,8,1,6,4,5]=>[[1,2,4],[3,6,8],[5,7]]=>16
[8,5,2,4,6,7,3,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[2,5,8,7,1,4,3,6]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[3,4,6,5,8,2,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[5,2,4,1,6,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>8
[4,2,7,1,6,8,3,5]=>[[1,3,6],[2,5,8],[4,7]]=>9
[5,2,8,6,4,7,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[6,1,3,4,7,2,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>10
[8,4,7,2,5,3,1,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[8,3,4,5,2,1,7,6]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[8,6,1,4,7,3,5,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[5,3,6,7,2,8,4,1]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[5,3,6,7,2,4,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[8,6,1,4,7,5,2,3]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[1,5,8,2,6,7,4,3]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[7,1,3,6,5,2,8,4]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[8,2,1,4,5,7,6,3]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[1,4,7,5,2,3,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>14
[6,1,7,5,4,2,8,3]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[2,7,3,6,5,1,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[8,6,5,1,3,7,4,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[5,7,6,2,4,8,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[3,7,5,6,4,8,1,2]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[7,6,8,1,3,5,4,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[2,8,4,6,1,7,5,3]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[2,8,6,4,7,3,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[8,7,1,4,6,5,3,2]=>[[1,4,5],[2],[3],[6],[7],[8]]=>21
[3,5,8,6,7,1,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[1,2,4,6,8,5,3,7]=>[[1,2,3,4,5],[6,8],[7]]=>16
[3,1,5,8,6,2,4,7]=>[[1,3,4,8],[2,5,7],[6]]=>10
[2,5,4,6,8,1,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>15
[6,5,2,4,7,8,1,3]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[7,2,5,8,6,4,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[5,2,8,3,4,7,6,1]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[2,4,3,8,7,1,6,5]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[1,5,8,7,4,2,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[6,8,7,5,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[5,3,4,8,6,2,7,1]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[3,4,5,8,6,2,7,1]=>[[1,2,3,4,7],[5],[6],[8]]=>16
[5,4,2,3,6,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[5,1,7,4,3,6,8,2]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[4,3,7,6,8,2,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[8,1,4,7,2,3,5,6]=>[[1,3,4,7,8],[2,6],[5]]=>7
[6,1,8,5,2,7,3,4]=>[[1,3,6,8],[2,4],[5,7]]=>11
[8,7,2,6,3,1,4,5]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[8,7,1,6,4,5,2,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[5,4,1,3,7,2,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[8,3,4,7,6,2,1,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[3,1,8,7,5,2,4,6]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[6,5,8,7,2,4,3,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[4,3,6,5,8,2,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[7,6,3,2,8,5,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[4,3,7,1,8,5,2,6]=>[[1,3,5],[2,6,8],[4,7]]=>11
[3,2,8,5,6,7,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>14
[8,3,2,1,4,7,5,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[4,7,3,1,8,5,2,6]=>[[1,2,5],[3,6,8],[4,7]]=>15
[3,7,8,2,5,6,1,4]=>[[1,2,3],[4,5,6],[7,8]]=>21
[7,5,1,4,2,3,6,8]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[7,8,6,1,2,4,5,3]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[1,5,3,4,7,8,6,2]=>[[1,2,4,5,6],[3,7],[8]]=>14
[5,1,2,4,7,8,6,3]=>[[1,3,4,5,6],[2,7],[8]]=>12
[5,1,7,8,6,2,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>10
[8,5,1,6,7,2,3,4]=>[[1,4,5,8],[2,6,7],[3]]=>7
[7,5,1,2,4,6,8,3]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[6,1,5,2,7,3,4,8]=>[[1,3,5,7,8],[2,6],[4]]=>6
[7,1,2,6,4,5,8,3]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[1,7,3,6,4,5,8,2]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[1,8,3,6,4,5,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[8,1,6,2,7,3,4,5]=>[[1,3,5,7,8],[2,6],[4]]=>6
[7,1,6,2,5,3,4,8]=>[[1,3,5,7,8],[2],[4],[6]]=>9
[8,1,6,2,5,3,4,7]=>[[1,3,5,7,8],[2],[4],[6]]=>9
[8,1,7,2,5,3,4,6]=>[[1,3,5,7,8],[2],[4],[6]]=>9
[8,1,2,7,4,5,6,3]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[1,8,3,7,4,5,6,2]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[8,1,6,7,5,2,3,4]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[7,3,1,2,6,4,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>5
[3,1,2,8,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>10
[6,3,1,2,7,4,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>5
[6,1,7,4,2,3,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[1,7,3,4,6,8,5,2]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[1,7,3,8,4,5,6,2]=>[[1,2,4,6,7],[3,5],[8]]=>12
[7,1,8,2,5,3,4,6]=>[[1,3,5,7,8],[2,4],[6]]=>7
[6,1,7,2,5,3,4,8]=>[[1,3,5,7,8],[2,4],[6]]=>7
[5,1,7,2,6,3,4,8]=>[[1,3,5,7,8],[2,4],[6]]=>7
[5,1,8,2,6,3,4,7]=>[[1,3,5,7,8],[2,4],[6]]=>7
[1,6,3,7,4,5,8,2]=>[[1,2,4,6,7],[3,5],[8]]=>12
[2,4,7,3,5,1,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[2,4,8,6,3,5,1,7]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[2,3,7,5,4,1,6,8]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[3,4,6,2,1,5,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>14
[3,4,7,2,1,6,5,8]=>[[1,2,3,8],[4,6],[5,7]]=>14
[2,6,8,3,5,1,4,7]=>[[1,2,3,8],[4,5],[6,7]]=>16
[2,3,6,1,5,8,4,7]=>[[1,2,3,6],[4,5,8],[7]]=>16
[2,3,7,1,6,5,8,4]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[2,4,7,1,3,6,8,5]=>[[1,2,3,7],[4,5,6],[8]]=>16
[5,4,7,8,1,3,2,6]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[2,5,7,1,4,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>15
[2,4,7,1,6,3,5,8]=>[[1,2,3,8],[4,5,7],[6]]=>14
[2,3,7,1,6,5,4,8]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[2,5,7,1,4,3,6,8]=>[[1,2,3,8],[4,5,7],[6]]=>14
[2,5,7,3,1,4,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>10
[3,4,7,2,1,6,8,5]=>[[1,2,3,7],[4,6],[5,8]]=>15
[4,6,3,7,1,5,2,8]=>[[1,2,4,8],[3,6],[5,7]]=>13
[5,7,3,2,8,1,4,6]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[2,6,5,7,1,8,4,3]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[3,6,8,5,4,1,7,2]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[5,4,7,8,1,3,6,2]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[2,5,7,1,4,6,8,3]=>[[1,2,3,7],[4,5,6],[8]]=>16
[2,4,7,1,6,3,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>15
[2,4,7,1,6,8,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>16
[1,8,3,4,5,6,7,9,2]=>[[1,2,4,5,6,7,8],[3],[9]]=>10
[2,8,3,4,5,6,7,1,9]=>[[1,2,4,5,6,7,9],[3],[8]]=>9
[8,6,5,1,2,4,3,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>12
[7,6,1,4,2,3,5,8]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[6,5,1,4,8,3,2,7]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[8,7,5,1,4,2,3,6]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[8,4,1,2,5,3,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>5
[8,6,1,4,2,5,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[8,7,1,4,3,2,6,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[2,8,3,7,4,5,6,1]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[8,7,5,2,4,3,6,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18
[4,2,5,7,3,1,6,8]=>[[1,3,4,8],[2,5,7],[6]]=>10
[8,2,4,5,3,1,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[8,4,5,1,3,2,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[4,3,7,5,2,1,6,8]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[1,6,7,4,3,2,5,8]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[1,4,5,7,3,2,6,8]=>[[1,2,3,4,8],[5,7],[6]]=>13
[3,5,1,4,7,2,6,8]=>[[1,2,5,8],[3,4,7],[6]]=>10
[2,5,1,4,7,8,3,6]=>[[1,2,5,6],[3,4,8],[7]]=>12
[4,3,7,1,5,2,6,8]=>[[1,3,7,8],[2,5],[4,6]]=>7
[3,5,1,6,4,2,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[6,4,3,1,7,2,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[6,2,7,4,3,1,5,8]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[2,6,4,1,7,3,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>11
[6,3,2,7,4,5,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[7,2,4,1,3,6,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>7
[6,3,2,5,7,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[3,2,6,5,7,1,4,8]=>[[1,3,5,8],[2,4],[6,7]]=>12
[1,7,3,2,5,6,4,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[2,1,7,3,5,6,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>9
[2,1,6,3,5,7,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>9
[1,6,3,2,5,7,4,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,4,6,5,2,7,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[5,6,2,1,4,3,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>10
[2,5,1,6,4,3,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[2,5,4,1,6,3,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[4,6,1,5,2,7,3,8]=>[[1,2,6,8],[3,4,7],[5]]=>9
[1,6,5,3,7,2,4,8]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[1,2,5,3,4,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>15
[5,2,7,6,1,8,4,3]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[5,8,2,6,1,7,4,3]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[1,5,8,3,6,2,7,4]=>[[1,2,3,7],[4,5],[6,8]]=>17
[1,2,6,4,7,3,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>13
[1,2,7,8,3,5,6,4]=>[[1,2,3,4,7],[5,6],[8]]=>15
[2,7,4,5,8,1,6,3]=>[[1,2,4,5],[3,7],[6,8]]=>16
[2,6,1,8,5,4,3,7]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[5,8,6,2,3,4,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[4,5,8,6,2,1,3,7]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[6,4,7,5,8,2,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[6,3,7,4,2,5,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[7,5,6,2,4,3,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[4,6,2,5,7,3,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[4,2,8,5,3,6,1,7]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[8,1,7,4,5,6,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[2,1,7,8,4,5,6,3]=>[[1,3,4,7],[2,5,6],[8]]=>12
[8,2,1,4,3,7,6,5]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[7,6,5,3,1,2,8,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[5,4,1,6,2,8,3,7]=>[[1,4,6,8],[2,5,7],[3]]=>5
[6,2,3,1,7,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>10
[3,1,8,6,7,2,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>8
[4,2,5,1,8,6,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>10
[4,5,3,7,1,6,8,2]=>[[1,2,4,7],[3,6],[5,8]]=>14
[4,2,8,5,3,6,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[2,8,6,3,5,4,7,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>17
[3,5,2,8,6,4,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[7,3,5,1,6,4,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[5,1,4,7,2,6,8,3]=>[[1,3,4,7],[2,6],[5,8]]=>11
[1,8,2,5,6,4,7,3]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[2,7,1,4,8,5,6,3]=>[[1,2,5,7],[3,4,6],[8]]=>12
[2,8,4,6,1,3,7,5]=>[[1,2,4,7],[3,6,8],[5]]=>13
[8,4,6,2,5,3,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,3,7,6,2,1,5,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[8,5,2,7,6,1,4,3]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[5,8,2,7,6,1,4,3]=>[[1,2],[3,4],[5,7],[6],[8]]=>24
[8,3,7,6,2,5,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>17
[7,3,8,6,5,1,4,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[9,8,7,6,1,2,3,4,5,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>10
[2,6,3,7,5,4,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[5,4,7,1,3,8,6,2]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[2,8,5,1,4,7,3,6]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[7,2,6,5,8,4,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22
[5,8,2,3,4,6,1,7]=>[[1,2,5,6,8],[3,4],[7]]=>10
[6,1,3,4,2,5,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>5
[1,5,6,3,2,4,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>10
[6,3,5,2,4,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[7,8,3,5,2,4,6,1]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[2,4,5,7,3,6,1,8]=>[[1,2,3,4,8],[5,6],[7]]=>14
[2,5,3,1,6,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[6,5,1,3,4,2,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[5,7,4,3,2,6,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[6,8,7,4,3,5,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[2,6,7,8,4,3,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[1,7,8,4,5,3,6,2]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[7,1,8,5,3,4,6,2]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[5,7,4,2,1,6,3,8]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[5,1,4,7,3,6,2,8]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[7,4,8,6,3,5,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[4,7,6,3,5,2,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[1,6,5,8,7,4,2,3]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[6,1,3,8,7,5,2,4]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[7,6,2,1,8,3,5,4]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[7,1,3,6,8,2,5,4]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[1,7,5,6,8,2,4,3]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[3,6,7,5,8,2,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[1,7,4,5,2,8,6,3]=>[[1,2,4,6],[3,7],[5,8]]=>15
[7,5,4,2,1,8,6,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[3,6,7,4,2,8,5,1]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[4,6,3,2,7,8,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[7,6,1,3,4,2,5,8]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[7,8,2,6,4,5,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[7,2,5,4,6,1,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[7,1,2,4,5,6,3,8]=>[[1,3,4,5,6,8],[2],[7]]=>7
[7,3,2,1,5,6,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[3,6,2,1,7,5,4,8]=>[[1,2,5,8],[3,6],[4,7]]=>12
[2,6,7,3,1,5,4,8]=>[[1,2,3,8],[4,6],[5,7]]=>14
[2,1,6,4,7,5,3,8]=>[[1,3,5,8],[2,4,6],[7]]=>9
[7,2,8,5,6,4,3,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[7,6,8,5,4,1,3,2]=>[[1,3],[2,7],[4],[5],[6],[8]]=>21
[7,1,8,4,6,5,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[7,8,6,3,1,5,4,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[7,6,1,4,5,3,2,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[7,1,5,6,4,3,2,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[4,1,3,8,6,2,7,5]=>[[1,3,4,7],[2,5],[6,8]]=>14
[5,6,3,2,8,1,7,4]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[8,2,6,3,1,5,7,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[8,2,5,6,7,4,3,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[8,2,5,3,4,7,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[7,5,3,2,4,1,8,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[7,1,2,3,6,8,4,5]=>[[1,3,4,5,6],[2,8],[7]]=>11
[6,7,2,8,3,4,5,1]=>[[1,2,4,7],[3,5,6],[8]]=>15
[3,1,8,4,6,5,7,2]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[6,1,2,3,8,4,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>11
[8,1,6,7,4,2,3,5]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[8,1,6,4,5,2,3,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[8,6,4,1,2,3,7,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[8,6,1,4,2,5,7,3]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[8,6,4,2,5,3,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[8,6,4,1,5,7,2,3]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[8,6,1,4,7,2,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[8,6,4,1,5,2,3,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[8,6,7,1,4,5,2,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[3,4,7,5,8,2,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[8,7,1,4,6,5,2,3]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[8,3,7,6,4,5,1,2]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[5,3,8,6,4,1,7,2]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[10,8,1,9,2,3,4,5,6,7]=>[[1,4,6,7,8,9,10],[2,5],[3]]=>4
[6,1,2,3,4,5,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>1
[5,1,2,3,4,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>1
[4,1,2,3,5,6,7,8,9]=>[[1,3,4,5,6,7,8,9],[2]]=>1
[7,4,5,1,2,8,6,3]=>[[1,3,6],[2,5,7],[4,8]]=>10
[6,4,7,1,8,5,2,3]=>[[1,3,5],[2,6,8],[4,7]]=>11
[5,7,4,2,3,8,6,1]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[3,8,2,5,1,7,4,6]=>[[1,2,6],[3,4,8],[5,7]]=>14
[5,8,4,2,3,7,1,6]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[4,8,5,2,1,7,3,6]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[8,5,7,6,1,2,4,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[6,8,7,5,2,4,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[5,7,6,8,4,1,3,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[7,3,1,6,8,5,4,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[5,3,1,7,4,8,6,2]=>[[1,4,6],[2,5,7],[3,8]]=>9
[7,3,1,8,6,4,5,2]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[8,6,4,1,7,3,2,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[4,6,8,3,7,1,2,5]=>[[1,2,3],[4,5,8],[6,7]]=>19
[3,5,2,8,4,7,1,6]=>[[1,2,4],[3,5,6],[7,8]]=>20
[6,4,8,3,7,2,1,5]=>[[1,3],[2,5],[4,8],[6],[7]]=>18
[3,6,2,8,7,4,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[6,8,4,2,7,3,1,5]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[5,6,7,9,8,4,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>30
[5,6,7,8,9,1,4,3,2]=>[[1,2,3,4,5],[6,7],[8],[9]]=>25
[3,4,7,8,5,1,2,6]=>[[1,2,3,4],[5,7,8],[6]]=>17
[4,7,3,2,5,6,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[3,2,7,6,4,5,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[1,7,3,6,8,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[2,3,6,5,1,8,7,4]=>[[1,2,3,6],[4,7],[5,8]]=>16
[8,3,1,2,6,4,7,5]=>[[1,4,5,7],[2,6,8],[3]]=>8
[1,7,8,2,4,3,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>11
[3,6,4,7,1,2,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>13
[5,7,4,8,1,3,2,6]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[4,3,7,8,1,5,2,6]=>[[1,3,4],[2,6,8],[5,7]]=>12
[8,5,4,2,6,1,7,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[3,2,6,8,7,4,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[2,3,7,5,1,8,6,4]=>[[1,2,3,6],[4,7],[5,8]]=>16
[6,3,1,2,8,7,4,5]=>[[1,4,5,8],[2,6],[3,7]]=>8
[5,2,1,3,8,7,6,4]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[7,2,1,5,3,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>5
[1,5,8,2,4,3,6,7]=>[[1,2,3,7,8],[4,5],[6]]=>11
[4,3,6,8,1,5,2,7]=>[[1,3,4],[2,6,8],[5,7]]=>12
[5,4,6,8,3,1,7,2]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[3,6,8,4,5,1,7,2]=>[[1,2,3,7],[4,5],[6,8]]=>17
[8,6,1,7,2,4,3,5]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[7,3,1,2,8,6,4,5]=>[[1,4,5,8],[2,6],[3,7]]=>8
[2,3,7,6,1,8,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[3,2,7,8,6,4,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[6,2,8,3,1,4,7,5]=>[[1,3,6,7],[2,4],[5,8]]=>12
[3,1,2,8,7,4,5,6]=>[[1,3,4,7,8],[2,5],[6]]=>8
[2,1,3,8,7,4,6,5]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[2,1,3,8,7,4,5,6]=>[[1,3,4,7,8],[2,5],[6]]=>8
[1,6,8,3,2,4,7,5]=>[[1,2,3,7],[4,6],[5,8]]=>15
[8,5,1,7,2,4,3,6]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[8,4,1,7,3,2,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[8,3,1,6,2,7,5,4]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[1,3,2,8,7,6,4,5]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[2,1,3,8,7,6,4,5]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[1,6,3,7,2,5,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>13
[1,7,2,4,6,3,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>11
[5,6,2,8,4,1,3,7]=>[[1,2,4],[3,5,8],[6,7]]=>18
[3,5,8,4,2,1,6,7]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[2,5,8,3,1,4,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>10
[2,8,1,3,5,7,4,6]=>[[1,2,5,6],[3,4,8],[7]]=>12
[5,4,7,8,3,2,6,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[3,6,8,2,5,1,4,7]=>[[1,2,3],[4,5,8],[6,7]]=>19
[3,6,8,7,2,5,4,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[3,4,6,5,8,2,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[2,4,6,7,8,3,5,1]=>[[1,2,3,4,5],[6,7],[8]]=>17
[1,4,2,5,7,6,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>12
[1,4,2,6,8,5,3,7]=>[[1,2,4,5],[3,6,8],[7]]=>16
[1,2,6,8,3,5,4,7]=>[[1,2,3,4,8],[5,6],[7]]=>14
[1,6,8,3,5,4,2,7]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[1,5,3,2,4,6,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>10
[1,5,8,7,6,3,2,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[1,5,7,6,3,2,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[1,6,3,2,4,7,5,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,6,3,2,4,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>14
[1,2,7,6,4,3,5,8]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[1,8,7,5,2,4,6,3]=>[[1,2,6,7],[3],[4],[5],[8]]=>16
[1,7,5,2,4,6,3,8]=>[[1,2,5,6,8],[3],[4],[7]]=>11
[1,7,4,2,5,3,6,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[1,8,4,7,5,2,6,3]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[1,7,5,2,3,6,4,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,7,5,2,6,3,4,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[1,6,3,7,4,2,5,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,6,3,2,7,5,4,8]=>[[1,2,5,8],[3,6],[4,7]]=>12
[1,4,7,5,2,6,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[1,3,6,4,8,7,5,2]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[1,3,7,6,4,2,5,8]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[1,3,2,4,8,5,7,6]=>[[1,2,4,5,7],[3,6],[8]]=>13
[1,3,8,7,5,2,4,6]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[1,4,6,3,2,7,5,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[1,4,6,3,2,8,7,5]=>[[1,2,3,6],[4,7],[5,8]]=>16
[1,5,7,6,4,2,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[1,6,3,2,8,4,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>13
[1,6,3,5,2,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[1,6,3,5,2,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>15
[1,8,3,7,5,2,4,6]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[6,4,7,1,5,3,8,2]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[5,3,8,2,6,4,7,1]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[4,3,8,2,6,5,7,1]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[5,7,1,4,8,2,3,6]=>[[1,2,5,8],[3,4,7],[6]]=>10
[6,5,7,1,4,3,8,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[5,7,6,1,2,4,8,3]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[4,8,3,5,7,6,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[1,3,4,2,8,5,7,6]=>[[1,2,3,5,7],[4,6],[8]]=>14
[5,7,6,2,4,8,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[6,7,5,2,3,8,4,1]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[6,7,5,3,8,4,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[3,2,1,4,8,5,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>9
[7,3,1,4,2,6,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>5
[7,4,1,6,2,5,3,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[5,4,1,8,2,6,3,7]=>[[1,4,6,8],[2,5],[3,7]]=>7
[5,3,1,8,2,6,4,7]=>[[1,4,6,8],[2,5],[3,7]]=>7
[4,7,1,5,2,6,3,8]=>[[1,2,6,8],[3,4,7],[5]]=>9
[6,5,1,4,2,7,3,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[1,8,7,3,4,5,2,6]=>[[1,2,5,6,8],[3],[4],[7]]=>11
[1,8,7,4,5,2,3,6]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[1,2,6,8,7,3,4,5]=>[[1,2,3,4,8],[5,7],[6]]=>13
[1,3,7,8,4,5,6,2]=>[[1,2,3,4,7],[5,6],[8]]=>15
[8,4,2,3,1,6,5,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[6,4,5,2,8,1,7,3]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[4,8,6,2,3,1,7,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[6,4,2,1,8,5,3,7]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[6,4,2,3,5,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[2,8,6,4,5,1,7,3]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[8,2,4,6,7,1,5,3]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[2,6,3,1,7,4,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>12
[6,5,1,8,3,2,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[1,4,3,7,2,8,6,5]=>[[1,2,4,6],[3,7],[5,8]]=>15
[1,8,7,4,5,3,2,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>16
[2,8,3,1,4,5,7,6]=>[[1,2,5,6,7],[3,8],[4]]=>10
[8,3,2,1,5,6,7,4]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[1,7,4,6,3,8,2,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[5,6,4,1,3,8,2,7]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[4,5,3,1,8,7,6,2]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[6,3,4,2,7,8,5,1]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[8,7,4,5,1,6,3,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[6,2,7,8,1,3,5,4]=>[[1,3,4],[2,6,7],[5,8]]=>13
[5,1,8,4,3,7,2,6]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[7,2,8,1,4,5,6,3]=>[[1,3,6,7],[2,5],[4,8]]=>9
[1,4,8,2,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>13
[8,1,6,7,2,5,4,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[7,5,2,3,6,8,4,1]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[8,1,4,6,5,3,2,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[8,1,4,7,6,5,2,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[8,1,2,7,6,5,4,3]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23
[4,5,8,1,6,7,2,3]=>[[1,2,3,6],[4,5,8],[7]]=>16
[3,7,2,5,8,4,6,1]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[6,7,8,4,1,5,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>17
[6,2,8,3,5,1,4,7]=>[[1,3,5,8],[2,4],[6,7]]=>12
[6,2,7,4,5,3,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[6,8,2,5,3,4,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[6,8,7,5,4,1,2,3]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[7,4,5,6,1,8,2,3]=>[[1,3,4,6],[2,7,8],[5]]=>11
[6,1,8,7,4,5,2,3]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[4,8,7,1,6,3,2,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[4,8,2,7,5,3,6,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[1,3,2,6,8,7,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>16
[1,3,8,2,5,4,6,7]=>[[1,2,3,7,8],[4,5],[6]]=>11
[1,6,2,5,8,7,3,4]=>[[1,2,4,5],[3,6],[7,8]]=>18
[1,6,8,7,2,3,5,4]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[1,6,8,7,2,5,3,4]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[1,5,2,4,8,3,6,7]=>[[1,2,4,5,8],[3,7],[6]]=>11
[1,2,4,5,8,6,3,7]=>[[1,2,3,4,5,8],[6],[7]]=>11
[1,2,8,3,5,4,7,6]=>[[1,2,3,5,7],[4,8],[6]]=>13
[1,3,8,2,5,4,7,6]=>[[1,2,3,7],[4,5,8],[6]]=>15
[1,6,7,5,2,4,8,3]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[1,5,6,4,7,2,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>12
[1,7,4,2,5,8,3,6]=>[[1,2,5,6],[3,7,8],[4]]=>13
[1,6,4,3,7,5,2,8]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[1,6,5,4,7,2,3,8]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[1,7,3,2,6,4,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>12
[1,5,8,2,3,6,7,4]=>[[1,2,3,6,7],[4,5],[8]]=>13
[1,3,2,6,8,5,4,7]=>[[1,2,4,5],[3,6,8],[7]]=>16
[1,6,3,2,7,4,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[1,7,8,5,4,2,3,6]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[1,8,4,2,3,6,5,7]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,4,2,7,5,3,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>14
[1,5,7,6,2,4,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[1,8,4,7,3,2,6,5]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[1,3,8,4,2,6,5,7]=>[[1,2,3,6,8],[4,7],[5]]=>11
[1,7,4,2,6,5,8,3]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[1,6,5,8,3,7,4,2]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[1,7,4,8,3,2,5,6]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[1,4,8,3,2,7,5,6]=>[[1,2,3,8],[4,6],[5,7]]=>14
[1,8,3,6,4,5,2,7]=>[[1,2,4,6,8],[3],[5],[7]]=>12
[1,6,4,7,3,2,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[8,2,3,7,4,5,6,1]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[8,5,7,2,3,6,4,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[7,5,2,1,6,8,3,4]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[7,6,1,5,4,8,2,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[7,6,3,2,1,8,4,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[2,8,7,3,4,6,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[6,5,1,3,7,2,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[8,1,7,3,4,5,2,6]=>[[1,3,5,6,8],[2],[4],[7]]=>10
[7,1,8,3,4,5,2,6]=>[[1,3,5,6,8],[2,4],[7]]=>8
[6,8,7,3,4,2,1,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[3,8,7,1,2,4,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>7
[1,8,5,3,4,6,2,7]=>[[1,2,5,6,8],[3],[4],[7]]=>11
[7,1,6,5,4,3,8,2]=>[[1,3,7],[2],[4],[5],[6],[8]]=>20
[7,1,3,6,4,5,8,2]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[7,1,5,3,6,4,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[6,1,5,3,7,8,2,4]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[5,8,7,1,2,6,3,4]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[6,8,2,3,4,7,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>16
[5,1,7,3,8,6,2,4]=>[[1,3,5],[2,4,6],[7,8]]=>15
[6,1,3,2,4,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>8
[6,2,1,3,4,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>7
[3,4,5,6,8,9,1,2,7]=>[[1,2,3,4,5,6],[7,8,9]]=>18
[2,4,5,1,6,7,8,9,3]=>[[1,2,3,5,6,7,8],[4,9]]=>10
[2,3,4,1,6,7,8,9,5]=>[[1,2,3,5,6,7,8],[4,9]]=>10
[2,3,4,5,6,8,9,1,10,7]=>[[1,2,3,4,5,6,7,9],[8,10]]=>15
[3,4,5,1,6,7,8,2,9]=>[[1,2,3,5,6,7,9],[4,8]]=>9
[1,3,5,2,6,7,8,9,4]=>[[1,2,3,5,6,7,8],[4,9]]=>10
[2,3,1,5,6,7,8,9,4]=>[[1,2,4,5,6,7,8],[3,9]]=>9
[3,2,5,8,7,4,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[4,2,5,8,7,3,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[8,3,4,1,6,5,2,7]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[3,4,8,5,7,2,1,6]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[3,6,4,8,5,7,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[5,8,4,7,3,6,2,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[4,2,8,7,3,1,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[6,5,8,2,1,7,4,3]=>[[1,3],[2,6],[4,7],[5,8]]=>14
[6,1,4,3,8,7,2,5]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[5,1,3,2,6,8,7,4]=>[[1,3,5,6],[2,7],[4,8]]=>11
[6,1,3,8,7,2,4,5]=>[[1,3,4,8],[2,5],[6,7]]=>13
[1,2,8,4,5,7,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>14
[4,2,1,8,7,6,3,5]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[3,2,5,8,7,1,4,6]=>[[1,3,4],[2,5,8],[6,7]]=>15
[5,6,3,8,7,2,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[2,5,8,4,7,1,6,3]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[1,6,2,4,8,5,7,3]=>[[1,2,4,5,7],[3,6],[8]]=>13
[3,1,6,5,8,7,2,4]=>[[1,3,5],[2,4,6],[7,8]]=>15
[4,8,5,3,6,7,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[1,8,5,3,4,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[2,7,1,3,6,4,5,8]=>[[1,2,5,7,8],[3,4],[6]]=>9
[8,1,7,3,5,4,6,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[1,8,6,3,2,5,4,7]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[3,2,4,8,5,7,1,6]=>[[1,3,4,6],[2,5],[7,8]]=>15
[8,1,2,4,7,5,6,3]=>[[1,3,4,5,7],[2],[6],[8]]=>13
[6,4,5,8,3,1,7,2]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[8,6,2,1,5,7,3,4]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[4,6,2,8,5,3,7,1]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[8,7,2,4,1,5,3,6]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[7,5,3,4,8,6,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[2,8,3,1,4,6,7,5]=>[[1,2,5,6,7],[3,8],[4]]=>10
[4,3,6,5,1,2,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>10
[5,8,3,7,6,4,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>26
[1,3,8,7,6,5,2,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[4,8,7,2,6,3,1,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[1,8,7,2,6,3,5,4]=>[[1,2,5,7],[3],[4],[6],[8]]=>17
[8,7,2,1,4,3,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[2,8,7,1,6,3,4,5]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[4,2,8,7,6,5,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[1,2,5,7,4,8,6,3]=>[[1,2,3,4,6],[5,7],[8]]=>16
[6,2,1,8,7,5,3,4]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[6,3,8,7,4,5,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[2,8,3,4,1,5,6,7]=>[[1,2,4,6,7,8],[3],[5]]=>6
[1,3,7,5,4,8,6,2]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[4,5,6,3,1,8,2,7]=>[[1,2,3,6],[4,7,8],[5]]=>15
[1,5,6,3,8,4,2,7]=>[[1,2,3,5],[4,6,8],[7]]=>17
[2,6,5,3,8,4,1,7]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[5,7,3,8,4,2,6,1]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[5,3,6,2,8,4,1,7]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[2,3,6,5,4,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[3,7,5,4,8,2,6,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[5,3,7,1,2,8,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>6
[6,3,8,7,2,5,4,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[1,2,3,4,6,5,7,8,9]=>[[1,2,3,4,5,7,8,9],[6]]=>5
[1,2,3,5,4,6,7,8,9]=>[[1,2,3,4,6,7,8,9],[5]]=>4
[6,8,4,1,7,5,2,3]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[8,1,4,6,7,5,2,3]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[2,6,8,1,4,7,5,3]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[6,4,8,1,2,7,5,3]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[4,2,8,1,6,7,5,3]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[8,1,2,6,4,7,5,3]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[8,4,1,6,2,7,5,3]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[4,8,1,2,6,7,5,3]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[4,8,2,1,6,7,5,3]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[8,2,4,6,1,7,5,3]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[2,3,4,1,6,5,8,7,10,9]=>[[1,2,3,5,7,9],[4,6,8,10]]=>18
[2,3,4,5,6,1,8,7,10,9]=>[[1,2,3,4,5,7,9],[6,8,10]]=>18
[2,3,4,5,6,7,8,1,10,9]=>[[1,2,3,4,5,6,7,9],[8,10]]=>15
[5,4,7,6,3,1,2,8]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[3,6,4,8,1,5,2,7]=>[[1,2,4,8],[3,6],[5,7]]=>13
[3,6,8,4,1,5,2,7]=>[[1,2,3,8],[4,6],[5,7]]=>14
[8,7,1,4,2,3,5,6]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[3,8,6,4,1,5,2,7]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[8,2,6,5,7,1,3,4]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[4,6,1,3,2,8,7,5]=>[[1,2,6],[3,4,7],[5,8]]=>15
[7,1,4,8,2,3,6,5]=>[[1,3,4,7],[2,6],[5,8]]=>11
[4,5,3,6,7,1,8,2]=>[[1,2,4,5,7],[3,8],[6]]=>12
[1,4,7,8,3,5,2,6]=>[[1,2,3,4],[5,6,8],[7]]=>18
[4,6,1,3,5,2,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>11
[2,5,1,4,8,3,7,6]=>[[1,2,5],[3,4,7],[6,8]]=>16
[6,1,2,5,4,8,7,3]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[8,4,1,7,3,5,6,2]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[8,4,1,2,5,7,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>9
[2,4,5,6,8,3,1,7]=>[[1,2,3,4,5],[6,8],[7]]=>16
[3,4,5,8,6,2,1,7]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[4,5,1,8,6,3,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[1,8,2,3,4,5,9,6,7]=>[[1,2,4,5,6,7,9],[3,8]]=>8
[1,3,4,5,6,8,9,2,7]=>[[1,2,3,4,5,6,7],[8,9]]=>14
[8,3,7,2,1,6,5,4]=>[[1,3],[2,6],[4,7],[5],[8]]=>18
[8,4,7,6,2,5,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>17
[8,4,7,3,6,2,1,5]=>[[1,3],[2,5],[4,8],[6],[7]]=>18
[3,8,7,5,6,4,1,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[3,8,7,5,6,2,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[3,8,7,5,6,2,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[2,8,7,5,6,4,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[1,5,6,3,8,2,7,4]=>[[1,2,3,5],[4,7],[6,8]]=>17
[2,6,3,8,4,7,1,5]=>[[1,2,4,6],[3,5],[7,8]]=>17
[2,6,3,5,7,8,1,4]=>[[1,2,4,5,6],[3,8],[7]]=>13
[1,5,6,3,7,2,8,4]=>[[1,2,3,5,7],[4,8],[6]]=>13
[1,7,5,3,6,2,8,4]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[1,5,7,3,4,2,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>15
[1,5,8,3,4,2,7,6]=>[[1,2,3,7],[4,5],[6,8]]=>17
[1,4,5,3,7,2,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>13
[1,4,5,3,8,2,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>17
[6,5,1,4,2,7,8,3]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[6,5,1,4,2,8,7,3]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[1,7,5,4,2,8,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[5,1,6,8,3,7,2,4]=>[[1,3,4],[2,5,6],[7,8]]=>17
[9,4,1,6,2,8,3,5,7,10]=>[[1,4,6,8,9,10],[2,5,7],[3]]=>5
[9,8,5,1,7,2,3,4,6,10]=>[[1,5,7,8,9,10],[2,6],[3],[4]]=>7
[5,4,7,1,8,6,3,2]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[2,4,1,5,3,6,7,8,9]=>[[1,2,4,6,7,8,9],[3,5]]=>5
[1,4,8,2,6,5,3,7]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[8,5,1,3,6,2,4,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[7,5,1,8,3,4,2,6]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[5,2,8,1,7,4,3,6]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[1,2,5,6,8,7,3,4]=>[[1,2,3,4,5],[6,8],[7]]=>16
[1,5,6,8,2,7,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[2,6,7,3,4,1,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>15
[1,6,5,7,8,2,4,3]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[1,5,6,7,2,8,4,3]=>[[1,2,3,4,6],[5,7],[8]]=>16
[3,7,6,1,8,2,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>11
[1,3,7,2,6,4,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>15
[1,5,8,6,7,3,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[1,6,5,8,7,2,4,3]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[1,5,7,6,2,8,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>15
[1,2,5,8,6,7,4,3]=>[[1,2,3,4,6],[5],[7],[8]]=>17
[1,2,6,5,7,3,8,4]=>[[1,2,3,5,7],[4,8],[6]]=>13
[1,7,5,8,6,4,2,3]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[3,6,5,8,1,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>17
[5,4,7,8,1,6,3,2]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[2,5,6,8,1,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>19
[5,3,6,8,1,2,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>13
[4,6,5,8,3,2,7,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[4,5,6,8,2,3,7,1]=>[[1,2,3,4],[5,6,7],[8]]=>19
[2,5,8,7,1,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[4,7,5,8,3,6,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[7,3,6,8,5,2,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[8,3,6,7,5,2,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[8,4,5,7,3,6,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[2,4,7,8,5,6,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[3,6,8,7,5,2,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[6,4,7,8,5,1,3,2]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[7,8,4,6,5,3,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[6,8,4,7,5,1,3,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>24
[6,5,7,8,9,1,2,3,4]=>[[1,3,4,5],[2,7,8,9],[6]]=>15
[7,6,1,2,3,5,4,8]=>[[1,4,5,6,8],[2],[3],[7]]=>9
[2,8,7,5,1,6,3,4]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[8,7,6,4,2,1,5,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>16
[3,8,7,5,2,6,4,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[3,8,7,5,1,2,6,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[5,8,3,7,1,4,6,2]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[3,8,7,4,2,6,5,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[5,8,3,2,4,7,6,1]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[5,3,8,2,4,6,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[4,5,8,3,2,6,1,7]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[5,8,2,1,4,6,3,7]=>[[1,2,6,8],[3,5],[4,7]]=>11
[4,1,5,8,3,6,2,7]=>[[1,3,4,8],[2,5,6],[7]]=>11
[4,5,8,3,6,1,2,7]=>[[1,2,3,8],[4,5],[6,7]]=>16
[3,2,7,1,8,5,4,6]=>[[1,3,5],[2,6,8],[4,7]]=>11
[4,7,8,5,2,3,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[6,2,7,8,1,5,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>12
[2,7,1,3,8,5,4,6]=>[[1,2,5,8],[3,4,6],[7]]=>11
[2,6,7,8,4,1,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>17
[2,6,7,8,4,3,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[7,1,2,3,4,5,8,6,9]=>[[1,3,4,5,6,7,9],[2,8]]=>6
[6,1,2,3,4,7,5,8,9]=>[[1,3,4,5,6,8,9],[2,7]]=>5
[5,1,2,3,6,4,7,8,9]=>[[1,3,4,5,7,8,9],[2,6]]=>4
[4,1,2,5,3,6,7,8,9]=>[[1,3,4,6,7,8,9],[2,5]]=>3
[7,1,2,6,3,8,4,5]=>[[1,3,4,6,8],[2,7],[5]]=>8
[8,1,2,6,5,3,7,4]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[7,4,1,8,2,5,3,6]=>[[1,4,6,8],[2,5],[3,7]]=>7
[7,4,8,3,1,2,6,5]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[8,4,5,3,1,6,7,2]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[8,2,3,1,6,7,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>10
[8,2,1,7,4,3,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[7,2,6,8,4,1,3,5]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[7,2,5,1,6,8,3,4]=>[[1,3,5,6],[2,7,8],[4]]=>10
[6,2,1,7,4,8,3,5]=>[[1,4,6],[2,5,8],[3,7]]=>8
[1,7,4,3,2,5,6,8]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[1,7,4,3,6,2,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[3,7,5,8,2,4,6,1]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[5,2,1,6,3,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>6
[5,1,3,4,6,2,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>10
[3,8,4,5,7,2,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[3,8,4,7,5,6,2,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>19
[4,2,8,6,3,7,5,1]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[4,1,7,6,3,8,5,2]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[7,4,1,8,5,3,6,2]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[3,5,6,8,4,7,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>20
[5,4,1,8,6,7,2,3]=>[[1,4,6],[2,5,8],[3,7]]=>8
[6,2,8,4,5,3,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[4,5,2,1,8,7,3,6]=>[[1,2,5],[3,6,8],[4,7]]=>15
[4,7,3,8,2,6,5,1]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[4,7,3,1,8,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>15
[6,2,1,3,7,4,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>8
[6,3,7,1,2,5,8,4]=>[[1,3,6,7],[2,5],[4,8]]=>9
[5,1,4,7,8,2,6,3]=>[[1,3,4,5],[2,7],[6,8]]=>13
[7,2,5,8,1,3,6,4]=>[[1,3,4],[2,6,7],[5,8]]=>13
[8,3,6,7,2,4,5,1]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[3,8,7,5,2,1,6,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[3,8,5,6,2,7,4,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[3,6,5,8,4,2,7,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[6,8,3,2,5,7,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[4,1,5,6,8,7,3,2]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[8,4,2,3,6,7,5,1]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[6,1,2,4,5,7,8,3]=>[[1,3,4,5,6,7],[2],[8]]=>8
[4,5,1,3,7,6,8,2]=>[[1,2,5,7],[3,4,6],[8]]=>12
[3,5,4,8,6,2,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[3,6,2,4,5,8,7,1]=>[[1,2,5,6],[3,4,7],[8]]=>13
[8,1,3,7,4,5,6,2]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[8,1,5,3,6,4,7,2]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[2,6,4,8,3,1,5,7]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[2,6,4,1,5,8,7,3]=>[[1,2,5,6],[3,7],[4,8]]=>14
[3,6,4,5,2,8,1,7]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[8,1,5,4,7,3,6,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[7,6,5,4,1,8,2,3]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[8,1,5,4,7,6,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[2,5,1,4,6,7,3,8]=>[[1,2,5,6,8],[3,4],[7]]=>10
[3,6,4,1,5,7,8,2]=>[[1,2,5,6,7],[3,8],[4]]=>10
[7,6,5,2,8,4,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[3,1,6,5,2,8,7,4]=>[[1,3,6],[2,4,7],[5,8]]=>13
[1,7,2,4,3,5,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>11
[3,8,1,7,4,2,6,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[8,1,7,4,3,5,6,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>15
[6,8,2,4,5,3,7,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[4,8,5,3,6,1,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[2,8,3,1,4,7,5,6]=>[[1,2,5,6,8],[3,7],[4]]=>9
[8,6,3,2,7,4,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[2,7,3,1,8,4,5,6]=>[[1,2,5,7,8],[3,6],[4]]=>8
[1,2,8,3,5,6,4,7]=>[[1,2,3,5,6,8],[4],[7]]=>9
[3,5,7,4,8,1,6,2]=>[[1,2,3,5],[4,7],[6,8]]=>17
[2,8,1,3,5,4,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>9
[1,5,2,8,6,4,3,7]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[7,4,8,6,3,1,2,5]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[3,6,8,4,1,2,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>13
[4,7,8,5,2,1,3,6]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[6,1,5,2,8,7,3,4]=>[[1,3,5,8],[2,6],[4,7]]=>9
[8,1,3,5,7,4,2,6]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[3,1,8,5,4,7,2,6]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[3,1,6,4,8,5,2,7]=>[[1,3,5,8],[2,4,6],[7]]=>9
[5,1,3,4,2,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>9
[3,2,6,4,1,5,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[5,4,2,1,8,3,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[4,2,5,1,8,7,3,6]=>[[1,3,5],[2,6,8],[4,7]]=>11
[6,8,2,7,1,4,3,5]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[1,8,4,7,3,2,5,6]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[8,6,3,1,5,7,2,4]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[5,8,3,1,4,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[1,2,5,4,7,8,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>14
[1,8,3,2,6,4,7,5]=>[[1,2,5,7],[3,6,8],[4]]=>12
[4,7,1,2,5,3,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>9
[6,8,4,1,3,7,2,5]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[3,2,6,1,7,8,5,4]=>[[1,3,5,6],[2,7],[4,8]]=>11
[7,6,4,1,8,3,5,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[5,4,1,6,7,3,2,8]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[7,4,1,6,5,8,2,3]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[8,5,4,1,6,7,3,2]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[5,2,1,6,4,7,8,3]=>[[1,4,6,7],[2,5],[3,8]]=>8
[1,6,2,3,5,7,8,4]=>[[1,2,4,5,6,7],[3],[8]]=>9
[1,3,4,8,5,2,6,7]=>[[1,2,3,4,7,8],[5],[6]]=>9
[8,2,4,6,1,7,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>11
[1,5,7,2,3,6,8,4]=>[[1,2,3,6,7],[4,5],[8]]=>13
[7,3,1,4,2,5,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>6
[3,2,5,7,8,4,1,6]=>[[1,3,4,5],[2,6,8],[7]]=>13
[4,3,5,1,6,2,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>6
[8,6,3,5,4,1,2,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[8,3,2,6,1,5,4,7]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[8,5,1,7,4,6,2,3]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[4,8,1,7,6,3,5,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[8,5,1,7,4,3,6,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[8,5,7,6,2,1,3,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[5,4,8,3,1,7,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[5,1,4,8,3,2,7,6]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[4,8,1,7,6,5,2,3]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[4,3,8,7,2,6,1,5]=>[[1,3],[2,4],[5,6],[7,8]]=>22
[3,8,7,2,6,4,1,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[8,2,5,7,4,3,6,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[3,8,7,4,6,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[8,7,6,3,5,4,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>18
[2,8,4,7,6,1,5,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[2,5,4,8,3,1,7,6]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[5,4,8,2,1,3,7,6]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[3,8,7,2,6,1,5,4]=>[[1,2],[3,5],[4,7],[6],[8]]=>22
[1,8,4,7,6,3,5,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[1,8,3,7,6,5,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[1,4,3,8,7,2,6,5]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[7,1,5,4,6,2,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[7,4,1,3,6,2,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[5,4,3,1,7,6,2,8]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[2,6,8,3,1,7,4,5]=>[[1,2,3,8],[4,6],[5,7]]=>14
[2,5,4,8,1,7,3,6]=>[[1,2,4],[3,6,8],[5,7]]=>16
[7,5,2,4,8,3,6,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[7,8,2,6,3,5,4,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[7,2,6,5,8,3,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[5,6,3,1,4,2,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>10
[2,6,5,3,4,8,7,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[2,6,1,5,3,4,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>8
[3,4,7,8,5,1,6,2]=>[[1,2,3,4],[5,7],[6,8]]=>18
[3,6,2,4,7,8,5,1]=>[[1,2,5,6],[3,4,7],[8]]=>13
[5,3,6,4,8,7,2,1]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[1,5,4,8,6,2,7,3]=>[[1,2,4,7],[3,5],[6,8]]=>16
[4,5,2,7,6,3,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[7,6,2,5,3,8,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[8,4,6,1,3,7,2,5]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[4,8,5,1,2,3,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>7
[8,6,2,4,5,1,3,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[4,5,1,3,8,6,2,7]=>[[1,2,5,8],[3,4,6],[7]]=>11
[7,4,2,3,6,8,5,1]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[2,1,6,7,4,8,3,5]=>[[1,3,4,6],[2,5,8],[7]]=>12
[7,8,1,3,6,4,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[7,2,6,8,4,5,3,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[7,3,6,8,5,1,4,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[7,5,8,1,6,2,4,3]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[5,7,8,1,6,3,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[7,2,6,8,5,1,4,3]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[7,5,2,4,8,3,1,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[7,8,3,1,6,2,5,4]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[6,7,8,4,3,1,5,2]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[7,8,3,6,4,1,5,2]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[7,3,8,1,6,4,5,2]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[1,7,5,8,2,4,6,3]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[7,5,2,8,1,4,6,3]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[3,7,8,2,6,5,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[3,7,8,2,1,6,4,5]=>[[1,2,3],[4,6,8],[5,7]]=>17
[7,8,1,6,3,5,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[6,7,8,2,5,4,3,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[6,7,8,3,1,5,4,2]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[7,8,1,6,2,5,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[5,6,1,4,3,8,2,7]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[5,1,6,8,3,4,7,2]=>[[1,3,4,7],[2,5,6],[8]]=>12
[7,1,6,8,5,4,3,2]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23
[5,6,8,1,2,3,7,4]=>[[1,2,3,7],[4,5,6],[8]]=>16
[4,8,1,2,7,6,5,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[4,6,1,2,8,5,7,3]=>[[1,2,5,7],[3,4,6],[8]]=>12
[6,4,7,3,5,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[5,7,8,4,2,1,3,6]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[3,1,6,2,5,7,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>9
[1,6,4,5,2,7,3,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[6,2,1,4,5,3,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>5
[1,2,3,4,5,8,9,6,7]=>[[1,2,3,4,5,6,7],[8,9]]=>14
[1,2,3,4,7,9,5,8,6]=>[[1,2,3,4,5,6],[7,8],[9]]=>20
[1,2,4,6,8,3,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>17
[1,2,5,9,3,6,7,8,4]=>[[1,2,3,4,7,8],[5,6],[9]]=>16
[1,3,5,8,2,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>15
[6,1,3,7,2,8,5,4]=>[[1,3,4,6],[2,7],[5,8]]=>12
[6,4,5,8,3,7,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[8,1,4,3,6,7,2,5]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[2,6,8,4,3,1,7,5]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[8,1,5,2,6,4,3,7]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[1,6,7,4,2,8,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>15
[1,7,8,4,3,6,2,5]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[1,4,7,2,3,6,8,5]=>[[1,2,3,6,7],[4,5],[8]]=>13
[3,1,2,6,7,8,5,4]=>[[1,3,4,5,6],[2,7],[8]]=>12
[3,8,1,6,4,2,7,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[1,6,3,4,7,8,2,5]=>[[1,2,4,5,6],[3,8],[7]]=>13
[3,1,5,7,6,2,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>11
[6,3,1,4,2,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>6
[2,4,3,7,6,1,8,5]=>[[1,2,4,7],[3,5],[6,8]]=>16
[3,1,7,6,5,2,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[1,4,7,6,8,3,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[7,2,1,5,6,3,8,4]=>[[1,4,5,7],[2,6,8],[3]]=>8
[4,3,1,8,6,2,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>7
[3,1,5,2,8,7,6,4]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[1,2,8,4,3,7,6,5]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[2,6,1,8,7,4,3,5]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[7,5,1,8,3,2,6,4]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[4,7,6,3,1,8,2,5]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[5,3,1,8,6,2,4,7]=>[[1,4,7,8],[2,5],[3,6]]=>6
[5,1,8,6,3,2,4,7]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[1,5,4,2,8,6,3,7]=>[[1,2,5,8],[3,6],[4,7]]=>12
[1,4,2,8,5,3,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>14
[8,3,1,6,4,2,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[1,7,4,8,3,5,2,6]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[7,3,2,4,8,5,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[5,7,8,1,4,2,6,3]=>[[1,2,3],[4,5,7],[6,8]]=>20
[2,6,3,8,1,7,5,4]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[2,5,1,8,6,3,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>14
[2,8,6,4,1,7,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[1,8,4,2,7,5,3,6]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[6,5,1,7,2,8,4,3]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[2,8,1,7,5,3,6,4]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[1,2,8,7,6,4,3,5]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[4,1,7,8,6,3,5,2]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[1,6,5,7,8,4,2,3]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[4,1,8,7,6,3,5,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[4,8,2,6,3,5,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[4,3,5,7,1,6,2,8]=>[[1,3,4,8],[2,6],[5,7]]=>10
[4,1,8,5,3,6,2,7]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[6,4,2,5,3,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[3,1,5,8,2,7,4,6]=>[[1,3,4,8],[2,5,6],[7]]=>11
[6,4,1,5,3,2,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[6,2,1,5,4,3,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[3,1,8,5,4,6,2,7]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[6,1,8,4,5,3,2,7]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[4,5,2,7,1,6,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>13
[4,3,5,7,1,6,8,2]=>[[1,3,4,7],[2,6],[5,8]]=>11
[4,1,8,5,3,6,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[6,3,8,4,5,1,7,2]=>[[1,3,5,7],[2,4],[6,8]]=>13
[3,1,6,8,5,7,4,2]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[2,6,1,8,5,7,4,3]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[6,3,8,4,5,2,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[6,5,8,7,2,3,4,1]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[6,3,8,4,5,2,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[2,1,6,8,5,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>16
[3,2,6,8,5,4,7,1]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[4,1,8,5,2,6,3,7]=>[[1,3,6,8],[2,4,7],[5]]=>7
[3,1,6,8,5,2,4,7]=>[[1,3,4,8],[2,5,7],[6]]=>10
[6,5,8,7,4,1,2,3]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[6,5,8,7,4,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[6,5,8,7,2,4,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>22
[6,2,8,4,5,7,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>14
[6,1,8,4,5,7,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[1,9,2,10,3,4,5,6,7,8]=>[[1,2,4,6,7,8,9,10],[3,5]]=>5
[2,8,1,9,3,4,5,6,7]=>[[1,2,4,7,8,9],[3,5,6]]=>8
[4,2,7,3,5,8,6,1]=>[[1,3,5,6],[2,4,7],[8]]=>11
[3,6,2,4,8,5,7,1]=>[[1,2,5,7],[3,4,6],[8]]=>12
[3,5,1,8,4,7,6,2]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[3,6,1,8,5,4,7,2]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[2,4,8,3,7,6,5,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[3,6,8,2,5,7,4,1]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[2,6,8,5,4,3,7,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[3,6,8,2,5,4,7,1]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[4,6,8,3,2,5,7,1]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[4,6,2,8,3,5,7,1]=>[[1,2,4,7],[3,5,6],[8]]=>15
[3,6,1,8,5,7,4,2]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[5,2,6,8,4,1,7,3]=>[[1,3,4],[2,5,7],[6,8]]=>16
[4,6,3,8,7,2,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[3,5,8,2,7,4,6,1]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[2,6,8,5,7,4,3,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[2,4,8,7,6,3,5,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[7,5,1,6,3,2,8,4]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[2,7,6,3,4,1,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[5,7,6,3,1,2,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[4,8,2,1,7,5,6,3]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[6,3,8,5,7,2,4,1]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[1,5,4,8,6,2,3,7]=>[[1,2,4,8],[3,5],[6,7]]=>15
[8,2,1,7,5,3,6,4]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[8,2,1,6,7,3,5,4]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[6,2,8,1,7,5,3,4]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[3,5,1,8,7,6,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[1,4,2,3,6,5,8,7,9]=>[[1,2,4,5,7,9],[3,6,8]]=>11
[1,3,4,2,6,5,8,7,9]=>[[1,2,3,5,7,9],[4,6,8]]=>12
[2,3,1,4,6,5,8,7,9]=>[[1,2,4,5,7,9],[3,6,8]]=>11
[4,6,1,2,3,5,8,7,9]=>[[1,2,5,6,7,9],[3,4,8]]=>7
[3,4,5,1,6,2,8,7,9]=>[[1,2,3,5,7,9],[4,6,8]]=>12
[3,1,2,4,6,5,8,7,9]=>[[1,3,4,5,7,9],[2,6,8]]=>8
[1,3,4,2,6,5,8,7,10,9]=>[[1,2,3,5,7,9],[4,6,8,10]]=>18
[4,7,8,3,5,6,1,2]=>[[1,2,3],[4,5,6],[7,8]]=>21
[2,1,3,4,5,6,9,7,8]=>[[1,3,4,5,6,7,9],[2,8]]=>6
[1,2,3,4,5,7,8,6,9]=>[[1,2,3,4,5,6,7,9],[8]]=>7
[3,2,5,6,8,4,7,1]=>[[1,3,4,5],[2,6,7],[8]]=>14
[8,4,5,2,6,3,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[2,5,6,4,8,3,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[4,2,5,7,3,8,1,6]=>[[1,3,4,6],[2,5,8],[7]]=>12
[4,7,3,1,6,8,2,5]=>[[1,2,6],[3,5,8],[4,7]]=>12
[4,2,7,6,8,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>13
[1,7,4,6,8,3,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[4,7,2,5,6,3,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[5,4,1,3,7,8,2,6]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[6,1,5,8,3,7,2,4]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[7,2,1,6,8,3,5,4]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[5,6,4,1,8,3,2,7]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[2,3,7,8,5,1,6,4]=>[[1,2,3,4],[5,7],[6,8]]=>18
[1,2,6,7,4,3,5,8]=>[[1,2,3,4,8],[5,7],[6]]=>13
[5,8,6,3,4,1,2,7]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[6,2,3,1,8,5,4,7]=>[[1,3,5,8],[2,6],[4,7]]=>9
[5,1,2,6,4,8,3,7]=>[[1,3,4,6],[2,5,8],[7]]=>12
[8,6,2,3,7,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[8,7,9,1,2,3,4,5,6]=>[[1,3,6,7,8,9],[2,5],[4]]=>5
[4,5,2,8,6,1,3,7]=>[[1,2,4,8],[3,5],[6,7]]=>15
[3,4,8,2,5,6,1,7]=>[[1,2,3,6,8],[4,5],[7]]=>12
[6,8,2,7,5,3,1,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[6,3,2,5,8,4,1,7]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[5,6,7,2,8,4,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>19
[5,8,3,6,4,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[4,3,8,5,2,7,1,6]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[2,8,4,5,1,6,3,7]=>[[1,2,4,6,8],[3,7],[5]]=>10
[3,2,5,8,4,7,1,6]=>[[1,3,4],[2,5,6],[7,8]]=>17
[2,5,8,1,3,4,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>16
[3,5,1,8,7,4,2,6]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[4,6,1,3,8,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>16
[8,6,1,2,3,5,7,4]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[5,1,7,8,3,2,4,6]=>[[1,3,4,8],[2,5,7],[6]]=>10
[3,1,7,6,2,8,5,4]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[5,3,6,7,4,2,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[5,4,2,8,6,7,3,1]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[6,1,4,2,8,7,3,5]=>[[1,3,5,8],[2,6],[4,7]]=>9
[3,7,2,6,8,4,5,1]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[4,6,5,2,7,8,3,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[5,4,6,2,7,8,3,1]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[5,1,8,6,4,2,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[6,2,1,8,5,7,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[5,4,6,2,3,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[6,5,7,8,1,3,4,2]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[2,1,7,6,8,4,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[6,4,7,2,8,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[6,3,2,7,8,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[4,7,3,1,5,2,8,6]=>[[1,2,7],[3,5,8],[4,6]]=>11
[4,7,6,3,1,5,8,2]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[2,7,3,1,8,5,4,6]=>[[1,2,5,8],[3,6],[4,7]]=>12
[2,8,3,1,7,4,5,6]=>[[1,2,5,7,8],[3,6],[4]]=>8
[7,6,8,9,1,2,3,4,5]=>[[1,3,4,8,9],[2,6,7],[5]]=>9
[1,8,2,7,3,5,6,4]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[1,7,4,8,6,5,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[1,6,3,5,7,4,8,2]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[1,5,4,7,2,8,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>14
[3,8,5,2,6,1,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[3,7,4,8,5,2,6,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[8,1,2,6,5,3,4,7]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[3,7,4,2,5,6,1,8]=>[[1,2,5,6,8],[3],[4],[7]]=>11
[6,8,7,1,3,4,2,5]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[3,4,2,8,6,7,5,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[3,7,8,6,1,4,2,5]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[3,6,1,5,2,7,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>10
[8,1,2,6,3,5,7,4]=>[[1,3,4,6,7],[2],[5],[8]]=>12
[6,2,8,4,7,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>13
[3,7,8,4,2,5,6,1]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[3,4,2,8,5,1,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,4,3,2,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3],[4]]=>5
[6,8,2,7,5,4,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[1,8,4,3,7,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[4,3,8,7,1,2,6,5]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[1,8,4,5,7,6,2,3]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[4,3,8,5,7,1,6,2]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[6,3,4,8,7,2,1,5]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[5,3,8,4,7,1,6,2]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[5,2,8,7,1,4,6,3]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[3,2,8,7,1,6,4,5]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[2,7,8,3,1,6,4,5]=>[[1,2,3,8],[4,6],[5,7]]=>14
[2,7,8,5,1,4,6,3]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[3,5,8,7,4,1,6,2]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[7,4,6,8,3,5,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[2,7,8,1,3,6,4,5]=>[[1,2,3,8],[4,5,6],[7]]=>15
[2,7,8,1,5,4,6,3]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[2,7,8,1,4,5,6,3]=>[[1,2,3,7],[4,5,6],[8]]=>16
[3,6,7,8,2,4,1,5]=>[[1,2,3,4],[5,6,8],[7]]=>18
[4,5,7,8,6,3,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[5,4,6,8,7,3,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[4,5,8,6,7,1,3,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[5,7,6,8,2,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[3,7,6,8,2,4,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[5,4,7,8,6,3,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[4,5,7,8,2,6,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>20
[4,5,6,8,7,3,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[6,1,5,3,8,4,7,2]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[1,8,6,2,5,4,7,3]=>[[1,2,5,7],[3],[4],[6],[8]]=>17
[3,8,4,1,7,5,2,6]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[6,2,7,4,8,3,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[2,8,5,1,4,3,7,6]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[6,8,2,7,5,1,4,3]=>[[1,2],[3,4],[5,7],[6],[8]]=>24
[8,3,4,5,6,1,7,2]=>[[1,3,4,5,7],[2,8],[6]]=>10
[5,3,6,4,7,2,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[4,2,6,5,7,3,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[5,4,6,2,7,3,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[3,2,6,5,8,4,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[3,2,6,5,8,7,1,4]=>[[1,3,5],[2,4,6],[7,8]]=>15
[4,2,6,5,8,7,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>15
[5,2,6,4,8,7,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>15
[5,4,7,6,8,2,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[6,4,7,5,8,3,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[4,2,7,5,8,6,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>15
[3,2,7,5,8,4,1,6]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[4,3,7,2,8,5,1,6]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[4,3,6,2,8,5,1,7]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[4,3,7,6,8,5,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[5,3,7,6,8,2,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[5,3,7,2,8,6,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[3,2,6,4,8,7,1,5]=>[[1,3,5],[2,4,6],[7,8]]=>15
[4,2,7,3,8,6,1,5]=>[[1,3,5],[2,4,6],[7,8]]=>15
[5,2,7,6,8,3,1,4]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[3,2,7,6,8,4,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[3,2,7,6,8,5,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[6,2,7,5,8,4,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[4,8,1,7,3,2,5,6]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[3,7,4,8,2,1,5,6]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[3,7,8,2,5,4,6,1]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[4,7,5,8,3,2,6,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[6,7,1,3,2,5,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>14
[8,7,6,4,1,5,3,2]=>[[1,6],[2,7],[3],[4],[5],[8]]=>18
[3,8,5,2,6,4,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[7,2,5,3,4,8,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[4,2,5,3,7,8,6,1]=>[[1,3,5,6],[2,4,7],[8]]=>11
[5,3,6,2,4,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[7,8,6,2,3,5,4,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[5,8,2,6,3,7,4,1]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[4,8,2,3,7,5,6,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[7,5,6,2,3,8,4,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[2,7,5,6,4,3,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>18
[2,8,4,3,7,5,6,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[3,8,5,7,6,4,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[7,8,6,3,5,4,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>25
[2,7,6,3,8,5,4,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[7,4,2,5,6,3,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[6,2,7,5,3,8,4,1]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[2,4,8,3,7,5,6,1]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[4,8,3,7,5,6,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[6,2,5,8,3,7,4,1]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[4,7,3,8,2,5,6,1]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[8,2,5,6,3,7,4,1]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[4,5,3,7,1,2,6,8]=>[[1,2,4,8],[3,6,7],[5]]=>12
[8,5,6,4,1,3,2,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[6,7,2,8,4,3,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[6,7,3,2,8,4,1,5]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[4,7,8,3,1,5,2,6]=>[[1,2,3],[4,6,8],[5,7]]=>17
[4,5,8,1,3,2,6,7]=>[[1,2,3,8],[4,5,7],[6]]=>14
[4,7,8,1,6,3,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[4,7,1,3,8,6,5,2]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[5,7,2,8,3,4,6,1]=>[[1,2,4,7],[3,5,6],[8]]=>15
[3,7,2,8,5,6,4,1]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[3,1,5,8,6,4,7,2]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[2,3,8,6,4,5,7,1]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[2,5,6,1,8,7,3,4]=>[[1,2,3,5],[4,6,8],[7]]=>17
[3,6,2,8,4,7,5,1]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[8,5,6,3,1,4,2,7]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[5,7,8,3,4,6,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[3,5,1,8,6,4,2,7]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[7,5,3,8,6,4,2,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[5,1,3,8,6,4,2,7]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[1,5,8,3,6,4,2,7]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[7,5,8,3,6,4,2,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[1,5,8,6,3,4,2,7]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[3,7,5,8,2,6,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[5,7,8,1,4,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>21
[1,3,7,8,4,2,6,5]=>[[1,2,3,4],[5,7],[6,8]]=>18
[6,1,2,5,3,4,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>5
[1,4,6,5,7,2,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>12
[8,1,6,7,3,5,4,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[4,2,5,1,3,7,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>6
[1,3,2,6,8,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>17
[8,1,7,5,4,2,6,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[1,2,6,4,7,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>12
[1,6,4,3,7,2,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[5,7,8,3,2,6,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[2,3,4,5,6,9,8,7,1]=>[[1,2,3,4,5,6],[7],[8],[9]]=>21
[2,3,4,5,6,7,10,9,8,1]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>24
[2,3,4,5,8,9,7,6,1]=>[[1,2,3,4,5,6],[7],[8],[9]]=>21
[8,4,5,1,3,7,6,2]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[8,6,4,3,7,1,5,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>14
[7,3,1,8,6,5,2,4]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[3,4,5,6,7,1,2,8,9]=>[[1,2,3,4,5,8,9],[6,7]]=>10
[2,7,3,1,4,8,6,5]=>[[1,2,5,6],[3,7],[4,8]]=>14
[3,1,6,5,7,8,4,2]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[4,3,1,5,8,7,6,2]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[4,7,1,3,2,5,6,8]=>[[1,2,6,7,8],[3,4],[5]]=>8
[1,7,2,5,6,8,4,3]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[4,7,6,8,3,1,5,2]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[3,5,4,7,1,8,6,2]=>[[1,2,4,6],[3,7],[5,8]]=>15
[7,1,5,4,2,3,6,8]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[7,1,3,6,4,5,2,8]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[6,1,3,8,4,5,2,7]=>[[1,3,4,6,8],[2,5],[7]]=>9
[2,1,8,7,3,6,5,4]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[5,8,6,3,1,2,7,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[5,8,2,7,1,3,6,4]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[2,6,5,4,1,3,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[4,1,5,7,6,3,2,8]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[4,5,1,7,6,3,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[5,4,2,1,8,7,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[6,2,1,5,4,3,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[1,4,2,6,7,8,5,3]=>[[1,2,4,5,6],[3,7],[8]]=>14
[1,4,2,5,6,8,7,3]=>[[1,2,4,5,6],[3,7],[8]]=>14
[2,5,3,6,7,8,4,1]=>[[1,2,4,5,6],[3,7],[8]]=>14
[1,8,6,2,4,3,5,7]=>[[1,2,5,7,8],[3],[4],[6]]=>10
[3,2,4,5,7,8,1,6]=>[[1,3,4,5,6],[2,8],[7]]=>11
[2,3,4,7,5,8,6,1]=>[[1,2,3,4,6],[5,7],[8]]=>16
[6,5,2,8,7,4,3,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[7,8,5,4,2,1,6,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>19
[7,5,2,8,6,4,3,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[7,8,3,2,6,5,4,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[8,2,6,3,7,5,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[8,6,7,2,5,3,1,4]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[1,6,2,7,8,4,5,3]=>[[1,2,4,5],[3,6,7],[8]]=>17
[8,6,2,7,5,4,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[1,6,8,2,7,5,3,4]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[7,6,3,2,8,1,5,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>14
[5,1,7,4,3,8,6,2]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[8,6,3,7,2,4,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[1,7,8,6,4,2,3,5]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[7,2,8,6,4,1,3,5]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[1,5,3,7,4,2,6,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,7,6,4,3,2,8,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[1,7,6,3,4,2,5,8]=>[[1,2,5,7,8],[3],[4],[6]]=>10
[1,2,7,4,3,8,6,5]=>[[1,2,3,6],[4,7],[5,8]]=>16
[1,5,4,2,3,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>14
[1,5,3,2,4,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>5
[1,5,4,2,3,7,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>10
[1,2,7,6,3,5,8,4]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[8,1,3,2,6,5,7,4]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[3,2,7,5,6,1,8,4]=>[[1,3,5,7],[2,4],[6,8]]=>13
[7,4,5,1,6,3,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[7,5,6,1,4,3,8,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,1,4,3,5,2,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[3,4,1,5,2,7,6,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>14
[1,4,2,5,3,7,6,9,8,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>14
[8,3,6,5,4,1,2,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[1,7,5,8,4,6,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[6,5,7,1,2,8,3,4]=>[[1,3,6,8],[2,5,7],[4]]=>6
[7,1,4,2,3,8,6,5]=>[[1,3,5,6],[2,7],[4,8]]=>11
[8,1,2,5,3,7,6,4]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[8,6,5,2,4,1,7,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[3,6,5,2,4,1,7,8]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[6,8,5,2,4,3,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[3,4,2,8,6,7,1,5]=>[[1,2,4,6],[3,5],[7,8]]=>17
[4,6,7,2,5,1,8,3]=>[[1,2,3,7],[4,5],[6,8]]=>17
[3,6,2,5,1,7,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>14
[3,4,2,7,8,1,5,6]=>[[1,2,4,5],[3,7,8],[6]]=>15
[7,1,4,2,5,8,6,3]=>[[1,3,5,6],[2,7],[4,8]]=>11
[7,8,5,1,2,4,3,6]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[5,8,1,4,3,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[7,2,3,8,6,4,1,5]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[5,2,3,8,7,4,1,6]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[5,7,6,3,1,2,4,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[4,2,6,8,1,3,5,7,9]=>[[1,3,4,8,9],[2,6,7],[5]]=>9
[4,6,2,7,8,1,3,5]=>[[1,2,4,5],[3,7,8],[6]]=>15
[6,2,3,7,1,4,5,8]=>[[1,3,4,7,8],[2,6],[5]]=>7
[4,2,5,7,9,1,3,6,8]=>[[1,3,4,5],[2,7,8,9],[6]]=>15
[2,3,5,7,9,1,4,6,8]=>[[1,2,3,4,5],[6,7,8,9]]=>20
[4,2,6,8,10,1,3,5,7,9]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>15
[6,4,2,8,1,3,5,7,9]=>[[1,4,7,8,9],[2,6],[3],[5]]=>8
[4,6,7,8,2,1,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>17
[4,8,2,5,9,1,3,6,7]=>[[1,2,5,9],[3,4,8],[6,7]]=>15
[4,2,5,7,9,1,3,6,8,10]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>15
[1,4,5,7,9,2,3,6,8]=>[[1,2,3,4,5],[6,7,8,9]]=>20
[8,6,3,2,1,7,5,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[8,6,4,9,7,5,3,2,1]=>[[1,4],[2,5],[3,6],[7],[8],[9]]=>27
[8,6,4,2,9,7,5,3,1]=>[[1,5],[2,6],[3,7],[4,8],[9]]=>20
[6,2,7,3,8,4,9,5,1]=>[[1,3,5,7],[2,4,6,8],[9]]=>12
[4,5,6,7,8,2,9,3,1]=>[[1,2,3,4,5,7],[6,8],[9]]=>19
[4,5,6,7,1,8,2,9,3]=>[[1,2,3,4,6,8],[5,7,9]]=>15
[9,7,10,8,6,5,4,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8],[9],[10]]=>41
[9,7,5,10,8,6,4,3,2,1]=>[[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>36
[8,5,2,9,6,3,10,7,4,1]=>[[1,4,7],[2,5,8],[3,6,9],[10]]=>18
[7,3,8,4,9,5,1,10,6,2]=>[[1,3,5,8],[2,4,6,9],[7,10]]=>18
[6,1,3,4,2,5,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>9
[5,1,3,6,2,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>10
[1,5,7,6,8,2,4,3]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[5,7,1,3,8,4,2,6]=>[[1,2,5,8],[3,4,6],[7]]=>11
[2,6,1,4,3,7,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>10
[1,6,2,4,3,5,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>11
[5,3,7,6,1,8,4,2]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[1,5,6,3,7,8,4,2]=>[[1,2,3,5,6],[4,7],[8]]=>15
[1,5,7,6,3,8,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[7,3,5,6,1,8,4,2]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[7,3,6,1,5,8,4,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[1,6,3,7,8,5,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[1,7,8,6,3,5,4,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[3,7,5,6,1,8,4,2]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[5,6,2,8,4,7,3,1]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[7,3,5,4,1,2,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[7,8,5,1,3,2,4,6]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[7,5,1,3,8,6,2,4]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[7,1,3,8,2,5,4,6]=>[[1,3,4,8],[2,6],[5,7]]=>10
[3,1,5,4,7,2,6,8]=>[[1,3,5,8],[2,4,7],[6]]=>8
[5,7,6,1,3,8,2,4]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[5,7,6,3,8,1,4,2]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[5,1,3,7,6,2,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>13
[1,6,3,7,2,4,5,8]=>[[1,2,4,7,8],[3,6],[5]]=>9
[5,3,2,4,8,1,7,6]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[6,8,5,3,2,7,1,4]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[8,3,7,2,6,5,1,4]=>[[1,3],[2,5],[4,8],[6],[7]]=>18
[4,6,2,7,1,3,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>13
[3,5,1,4,7,2,8,6]=>[[1,2,5,7],[3,4,8],[6]]=>11
[5,1,4,8,7,3,2,6]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[6,1,3,4,2,7,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>9
[6,5,2,3,7,8,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[1,5,3,8,4,2,7,6]=>[[1,2,4,7],[3,5],[6,8]]=>16
[5,4,2,1,8,3,7,6]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[3,1,7,4,2,6,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>8
[7,4,8,2,3,5,1,6]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[8,4,1,3,2,6,7,5]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[8,1,7,3,2,5,6,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[8,6,5,2,7,3,1,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[3,1,6,8,4,2,7,5]=>[[1,3,4],[2,5,7],[6,8]]=>16
[2,3,4,5,9,6,7,8,1]=>[[1,2,3,4,5,7,8],[6],[9]]=>13
[2,3,4,9,5,6,7,8,1]=>[[1,2,3,4,6,7,8],[5],[9]]=>12
[2,3,9,4,5,6,7,8,1]=>[[1,2,3,5,6,7,8],[4],[9]]=>11
[2,9,4,3,5,6,7,8,1]=>[[1,2,5,6,7,8],[3],[4],[9]]=>13
[5,6,2,3,7,4,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>11
[6,2,4,7,3,5,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[1,4,8,5,3,6,7,2]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[2,5,6,3,1,8,4,7]=>[[1,2,3,6],[4,7,8],[5]]=>15
[4,5,1,2,7,8,6,3]=>[[1,2,5,6],[3,4,7],[8]]=>13
[4,8,5,1,2,6,7,3]=>[[1,2,6,7],[3,5,8],[4]]=>9
[4,6,7,5,1,2,8,3]=>[[1,2,3,7],[4,6,8],[5]]=>14
[7,2,8,1,4,5,3,6]=>[[1,3,6,8],[2,5],[4,7]]=>8
[6,1,4,7,3,8,2,5]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[7,1,6,3,4,8,2,5]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[2,8,4,6,3,1,5,7]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[8,2,6,3,5,1,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[3,7,4,1,5,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>13
[3,8,4,1,7,2,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>11
[6,7,5,1,3,8,2,4]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[8,5,1,3,6,7,2,4]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[7,8,6,2,4,1,3,5]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[8,2,4,1,3,6,7,5]=>[[1,3,6,7],[2,5,8],[4]]=>7
[8,1,3,6,2,5,7,4]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[1,5,6,3,8,4,7,2]=>[[1,2,3,5],[4,6,7],[8]]=>18
[5,6,1,3,7,2,8,4]=>[[1,2,5,7],[3,4,8],[6]]=>11
[5,6,1,8,2,3,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>15
[5,6,1,2,8,4,7,3]=>[[1,2,5,7],[3,4,6],[8]]=>12
[3,7,8,1,6,4,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[1,7,8,6,3,4,2,5]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[1,7,3,8,6,4,2,5]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[5,7,1,8,6,4,2,3]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[7,8,1,5,6,4,2,3]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[7,1,8,5,6,4,2,3]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[7,1,5,8,6,4,2,3]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[8,1,3,5,6,4,2,7]=>[[1,3,4,5,8],[2],[6],[7]]=>12
[1,3,8,5,6,4,2,7]=>[[1,2,3,5,8],[4],[6],[7]]=>14
[1,3,5,8,6,4,2,7]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[1,5,7,8,6,4,2,3]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[1,8,2,6,5,3,4,7]=>[[1,2,4,7,8],[3],[5],[6]]=>11
[8,6,1,5,2,3,4,7]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[8,5,1,6,2,3,4,7]=>[[1,4,6,7,8],[2,5],[3]]=>4
[7,6,1,2,3,8,4,5]=>[[1,4,5,6,8],[2,7],[3]]=>6
[2,7,8,4,1,3,5,6]=>[[1,2,3,8],[4,6,7],[5]]=>13
[6,8,1,2,3,7,4,5]=>[[1,2,5,6,8],[3,4],[7]]=>10
[8,1,3,5,6,7,2,4]=>[[1,3,4,5,6],[2,8],[7]]=>11
[8,1,2,5,3,4,7,6]=>[[1,3,4,6,7],[2,8],[5]]=>9
[5,2,7,3,4,8,1,6]=>[[1,3,5,6],[2,4,8],[7]]=>10
[2,7,5,4,1,3,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[2,7,4,6,5,1,8,3]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[6,8,7,5,2,1,4,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>19
[2,8,6,3,5,1,4,7]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[1,2,8,6,4,5,3,7]=>[[1,2,3,6,8],[4],[5],[7]]=>13
[1,5,8,7,6,3,4,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[1,6,4,8,5,7,3,2]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[1,6,8,5,2,7,3,4]=>[[1,2,3,8],[4,6],[5,7]]=>14
[2,1,8,3,4,5,6,7,9]=>[[1,3,5,6,7,8,9],[2,4]]=>2
[3,1,6,4,2,5,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>8
[5,4,2,3,6,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[8,2,6,3,5,7,1,4]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[3,1,7,8,6,2,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[2,8,1,6,5,3,7,4]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[2,1,5,7,6,3,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>11
[4,3,5,1,7,8,6,2]=>[[1,3,5,6],[2,7],[4,8]]=>11
[1,8,5,2,3,4,7,6]=>[[1,2,5,6,7],[3,8],[4]]=>10
[1,5,8,2,3,4,7,6]=>[[1,2,3,6,7],[4,5],[8]]=>13
[1,2,7,8,4,5,6,3]=>[[1,2,3,4,7],[5,6],[8]]=>15
[1,2,3,4,5,6,9,7,10,8]=>[[1,2,3,4,5,6,7,9],[8,10]]=>15
[2,3,4,5,6,9,10,1,7,8]=>[[1,2,3,4,5,6,7],[8,9,10]]=>21
[4,3,8,7,6,2,5,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[5,4,8,2,7,6,3,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[2,3,6,1,7,5,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>14
[4,6,5,2,1,7,8,3]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[4,6,1,7,5,8,3,2]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[4,1,5,7,6,8,3,2]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[3,5,6,2,1,4,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>10
[4,3,6,5,1,7,8,2]=>[[1,3,6,7],[2,4],[5,8]]=>12
[4,6,5,3,1,7,8,2]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[1,2,3,4,5,7,6,8,9,10]=>[[1,2,3,4,5,6,8,9,10],[7]]=>6
[1,2,3,5,4,6,7,8,9,10]=>[[1,2,3,4,6,7,8,9,10],[5]]=>4
[1,2,3,5,4,7,6,9,8,10]=>[[1,2,3,4,6,8,10],[5,7,9]]=>15
[5,8,1,4,2,3,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>8
[4,5,8,2,3,1,6,7]=>[[1,2,3,8],[4,5,7],[6]]=>14
[3,5,4,8,1,7,2,6]=>[[1,2,4],[3,6,8],[5,7]]=>16
[5,3,6,8,1,4,7,2]=>[[1,3,4],[2,6,7],[5,8]]=>13
[3,5,1,8,6,4,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[4,7,2,8,3,1,6,5]=>[[1,2,4],[3,5,7],[6,8]]=>19
[1,2,5,6,8,3,7,4]=>[[1,2,3,4,5],[6,7],[8]]=>17
[5,3,8,4,6,2,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[7,4,8,1,5,2,6,3]=>[[1,3,7],[2,5,8],[4,6]]=>8
[8,3,2,1,6,5,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[4,1,5,6,8,7,2,3]=>[[1,3,4,5],[2,6,8],[7]]=>13
[1,2,5,6,8,4,7,3]=>[[1,2,3,4,5],[6,7],[8]]=>17
[1,5,6,8,4,7,2,3]=>[[1,2,3,4],[5,6],[7,8]]=>20
[5,6,8,1,2,4,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>16
[6,8,1,4,5,7,2,3]=>[[1,2,5,6],[3,4],[7,8]]=>16
[4,3,5,1,8,6,7,2]=>[[1,3,5,7],[2,6],[4,8]]=>10
[1,3,5,6,8,4,7,2]=>[[1,2,3,4,5],[6,7],[8]]=>17
[5,6,8,2,3,4,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>16
[6,5,1,2,4,8,7,3]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[5,8,7,2,1,3,6,4]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[5,1,7,2,8,6,3,4]=>[[1,3,5,8],[2,4,6],[7]]=>9
[6,1,5,3,4,8,7,2]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[5,8,6,3,2,1,4,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[8,7,1,6,3,5,4,2]=>[[1,4,6],[2],[3],[5],[7],[8]]=>20
[3,2,1,7,8,6,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>10
[8,6,7,1,2,5,3,4]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[1,5,6,4,2,8,7,3]=>[[1,2,3,6],[4,7],[5,8]]=>16
[7,5,1,4,8,2,3,6]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[3,2,8,1,7,5,6,4]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[8,4,3,1,7,5,6,2]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[6,1,7,8,4,2,3,5]=>[[1,3,4,8],[2,5,7],[6]]=>10
[7,4,3,1,8,5,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[7,8,1,6,3,4,5,2]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[6,8,1,7,3,4,2,5]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[1,5,6,7,8,9,2,3,4]=>[[1,2,3,4,5,6],[7,8,9]]=>18
[1,7,2,8,9,3,4,5,6]=>[[1,2,4,5,8,9],[3,6,7]]=>10
[1,5,6,7,8,9,10,2,3,4]=>[[1,2,3,4,5,6,7],[8,9,10]]=>21
[3,4,2,1,5,6,7,8,9]=>[[1,2,5,6,7,8,9],[3],[4]]=>5
[4,3,1,2,5,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>3
[3,4,2,1,5,6,7,8,9,10]=>[[1,2,5,6,7,8,9,10],[3],[4]]=>5
[3,4,2,5,1,6,7,8,9]=>[[1,2,4,6,7,8,9],[3],[5]]=>6
[5,3,1,2,4,6,7,8,9]=>[[1,4,5,6,7,8,9],[2],[3]]=>3
[4,3,5,1,2,6,7,8,9]=>[[1,3,6,7,8,9],[2,5],[4]]=>5
[4,3,1,2,5,6,7,8,9,10]=>[[1,4,5,6,7,8,9,10],[2],[3]]=>3
[4,6,5,3,8,2,7,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[4,5,6,3,8,1,7,2]=>[[1,2,3,5],[4,7],[6,8]]=>17
[7,8,3,5,2,1,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[6,3,7,5,2,4,1,8]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[6,2,4,5,7,3,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>12
[7,8,1,5,6,4,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[6,3,7,5,1,4,2,8]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[1,3,8,2,4,6,7,5]=>[[1,2,3,6,7],[4,5],[8]]=>13
[6,1,7,3,4,2,5,8]=>[[1,3,5,7,8],[2,4],[6]]=>7
[3,1,7,2,5,8,6,4]=>[[1,3,5,6],[2,4,7],[8]]=>11
[2,8,7,6,3,5,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[2,8,7,1,5,6,4,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[3,5,6,2,8,1,7,4]=>[[1,2,3,5],[4,7],[6,8]]=>17
[4,1,5,7,3,8,2,6]=>[[1,3,4,6],[2,5,8],[7]]=>12
[7,1,6,8,2,5,3,4]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[1,6,5,7,4,2,3,8]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[7,2,8,4,5,6,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[5,4,3,1,2,6,7,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>6
[6,5,4,3,1,2,7,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>10
[8,5,4,3,9,1,2,6,7]=>[[1,5,8,9],[2,7],[3],[4],[6]]=>12
[6,5,4,3,1,2,7,8,9,10]=>[[1,6,7,8,9,10],[2],[3],[4],[5]]=>10
[7,6,5,4,3,1,2,8,9,10]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>15
[9,6,5,4,3,10,1,2,7,8]=>[[1,6,9,10],[2,8],[3],[4],[5],[7]]=>17
[6,8,7,3,2,4,5,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[3,8,6,1,4,5,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[7,5,8,6,4,1,3,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[2,7,6,3,8,5,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[2,3,1,8,4,6,5,7]=>[[1,2,4,6,8],[3,5],[7]]=>11
[2,3,1,7,6,8,4,5]=>[[1,2,4,6],[3,5,8],[7]]=>15
[2,3,1,8,4,6,7,5]=>[[1,2,4,6,7],[3,5],[8]]=>12
[4,2,3,5,1,8,6,7]=>[[1,3,4,6,8],[2,7],[5]]=>8
[2,3,4,5,6,10,1,7,8,9]=>[[1,2,3,4,5,6,9,10],[7,8]]=>12
[2,3,4,5,10,1,6,7,8,9]=>[[1,2,3,4,5,8,9,10],[6,7]]=>10
[2,3,4,10,1,5,6,7,8,9]=>[[1,2,3,4,7,8,9,10],[5,6]]=>8
[5,8,7,2,6,4,1,3]=>[[1,2],[3,5],[4,8],[6],[7]]=>21
[6,8,5,1,7,4,3,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[6,8,5,2,7,4,1,3]=>[[1,2],[3,5],[4,6],[7,8]]=>22
[7,3,8,6,5,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[7,5,8,1,6,4,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>20
[7,5,8,2,6,4,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>19
[6,3,2,8,1,7,5,4]=>[[1,4],[2,6],[3,7],[5,8]]=>13
[2,1,3,4,5,6,8,7,9]=>[[1,3,4,5,6,7,9],[2,8]]=>6
[2,3,4,5,6,8,7,9,1]=>[[1,2,3,4,5,6,8],[7],[9]]=>14
[2,6,8,7,1,3,5,4]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[5,3,8,7,6,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[3,7,6,1,4,5,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[4,1,6,2,7,5,3,8]=>[[1,3,5,8],[2,4,6],[7]]=>9
[7,6,2,5,3,1,4,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[4,3,1,7,6,2,5,8]=>[[1,4,7,8],[2,5],[3,6]]=>6
[4,5,3,1,2,8,6,7]=>[[1,2,6,8],[3,5,7],[4]]=>8
[2,4,5,3,1,8,6,7]=>[[1,2,3,6,8],[4,7],[5]]=>11
[5,7,6,2,3,1,4,8]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[4,1,3,7,5,2,6,8]=>[[1,3,4,7,8],[2,5],[6]]=>8
[4,1,6,3,2,7,5,8]=>[[1,3,6,8],[2,4,7],[5]]=>7
[7,5,4,1,3,2,6,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>11
[2,4,8,5,6,3,1,7]=>[[1,2,3,5,8],[4],[6],[7]]=>14
[2,5,7,4,1,3,6,8]=>[[1,2,3,8],[4,6,7],[5]]=>13
[5,7,4,1,3,2,6,8]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[2,6,8,4,5,3,1,7]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[5,2,3,7,4,1,6,8]=>[[1,3,4,7,8],[2,5],[6]]=>8
[4,5,1,6,3,2,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[5,1,6,3,2,4,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[4,2,5,1,6,3,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>6
[5,1,6,2,4,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>7
[5,3,4,8,7,6,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[8,3,1,6,7,5,4,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[8,4,6,5,7,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[1,8,2,6,7,4,5,3]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[8,5,7,2,4,3,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,5,3,6,4,7,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[8,2,5,3,6,7,4,1]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[1,2,8,3,4,7,6,5]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[6,8,5,2,7,1,3,4]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[7,6,4,5,2,1,8,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[8,2,4,7,6,3,1,5]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[7,3,8,5,4,2,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[6,3,4,7,2,8,5,1]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[8,1,7,3,6,4,2,5]=>[[1,3,5,8],[2],[4],[6],[7]]=>15
[7,1,8,5,3,4,2,6]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[6,8,4,3,1,5,2,7]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[1,4,5,8,3,2,6,7]=>[[1,2,3,4,8],[5,7],[6]]=>13
[1,5,2,4,7,8,6,3]=>[[1,2,4,5,6],[3,7],[8]]=>14
[5,2,7,4,3,8,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[2,7,3,4,8,5,6,1]=>[[1,2,4,5,7],[3,6],[8]]=>13
[2,7,6,8,3,5,4,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[2,7,4,5,3,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[6,2,3,7,4,5,8,1]=>[[1,3,4,6,7],[2,5],[8]]=>10
[1,6,3,2,7,5,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>13
[7,3,5,2,6,8,1,4]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[6,4,2,7,1,5,8,3]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[2,5,3,6,4,7,8,1]=>[[1,2,4,6,7],[3,5],[8]]=>12
[4,2,5,3,6,7,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>9
[1,6,5,2,4,7,3,8]=>[[1,2,5,6,8],[3],[4],[7]]=>11
[1,8,7,2,4,6,3,5]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[1,8,7,2,5,4,3,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>16
[1,5,4,2,7,3,6,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[1,5,4,2,8,7,3,6]=>[[1,2,5,8],[3,6],[4,7]]=>12
[1,6,8,3,5,2,4,7]=>[[1,2,3,8],[4,5],[6,7]]=>16
[1,7,6,2,3,5,8,4]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[1,2,8,3,6,5,4,7]=>[[1,2,3,5,8],[4],[6],[7]]=>14
[1,3,8,6,5,2,4,7]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[1,4,7,3,2,8,6,5]=>[[1,2,3,6],[4,7],[5,8]]=>16
[1,8,6,5,2,4,7,3]=>[[1,2,6,7],[3],[4],[5],[8]]=>16
[1,6,8,4,3,2,5,7]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[1,7,5,3,2,6,4,8]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[1,2,6,5,3,8,4,7]=>[[1,2,3,6,8],[4,7],[5]]=>11
[1,7,3,2,8,4,6,5]=>[[1,2,5,7],[3,6],[4,8]]=>13
[1,6,5,2,8,4,7,3]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[1,8,3,7,2,4,6,5]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[5,4,2,8,7,6,1,3]=>[[1,4],[2,5],[3,6],[7,8]]=>18
[8,6,3,2,5,7,4,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[7,3,2,1,6,5,8,4]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[7,3,2,6,1,5,8,4]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[6,8,5,2,7,1,4,3]=>[[1,2],[3,5],[4,7],[6,8]]=>19
[6,8,2,5,1,7,4,3]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[6,8,5,7,2,1,4,3]=>[[1,2],[3,4],[5,7],[6,8]]=>22
[6,5,8,2,7,4,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>19
[6,2,1,7,5,8,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[1,6,4,8,5,3,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[4,2,6,7,8,1,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>12
[4,6,5,1,3,7,8,2]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[5,1,7,2,6,4,8,3]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[4,1,7,6,5,8,2,3]=>[[1,3,6],[2,4,8],[5],[7]]=>13
[4,2,3,6,7,8,1,5]=>[[1,3,4,5,6],[2,8],[7]]=>11
[4,7,2,1,6,5,8,3]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[2,4,3,6,7,8,1,5]=>[[1,2,4,5,6],[3,8],[7]]=>13
[6,8,5,2,7,3,1,4]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[6,5,1,3,7,8,2,4]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[7,2,1,4,3,5,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>6
[6,1,2,4,3,7,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>9
[8,1,5,4,2,3,6,7]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[7,1,2,4,6,3,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>10
[7,1,2,6,5,3,8,4]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[7,5,6,1,2,4,8,3]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[7,1,4,5,2,3,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>7
[6,1,4,8,7,2,3,5]=>[[1,3,4,8],[2,5],[6,7]]=>13
[6,1,8,5,7,2,3,4]=>[[1,3,5,8],[2,4],[6,7]]=>12
[1,6,7,5,8,3,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[6,1,7,5,8,2,3,4]=>[[1,3,5,8],[2,4,7],[6]]=>8
[6,1,4,7,8,2,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>12
[8,1,2,3,7,5,4,6]=>[[1,3,4,5,8],[2],[6],[7]]=>12
[5,8,6,1,2,4,7,3]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[1,6,8,7,5,3,4,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[6,1,8,7,5,2,3,4]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[8,3,1,2,4,6,5,7]=>[[1,4,5,6,8],[2,7],[3]]=>6
[8,3,1,2,4,5,7,6]=>[[1,4,5,6,7],[2,8],[3]]=>7
[6,3,1,2,4,7,5,8]=>[[1,4,5,6,8],[2,7],[3]]=>6
[6,7,1,4,2,3,5,8]=>[[1,2,6,7,8],[3,4],[5]]=>8
[6,1,7,4,8,2,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>8
[6,7,8,5,1,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[9,2,3,4,5,6,1,7,8]=>[[1,3,4,5,6,8,9],[2],[7]]=>7
[2,1,3,5,6,7,8,9,4]=>[[1,3,4,5,6,7,8],[2,9]]=>7
[4,3,8,5,6,2,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[4,3,8,6,7,2,5,1]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[7,6,8,1,5,3,4,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[7,4,6,1,5,3,8,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[6,3,8,1,7,2,5,4]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[6,1,5,4,8,2,7,3]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[6,2,5,4,7,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[8,3,6,7,5,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[2,7,1,8,5,6,4,3]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[4,6,8,2,3,5,1,7]=>[[1,2,3,8],[4,5,6],[7]]=>15
[6,8,2,1,3,5,4,7]=>[[1,2,6,8],[3,5],[4,7]]=>11
[3,5,1,6,4,8,2,7]=>[[1,2,4,6],[3,5,8],[7]]=>15
[3,5,8,6,2,1,4,7]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[2,4,8,5,6,1,3,7]=>[[1,2,3,5,8],[4,7],[6]]=>12
[4,8,2,5,6,1,3,7]=>[[1,2,5,8],[3,4],[6,7]]=>14
[5,3,8,4,2,7,6,1]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[2,8,5,3,1,4,7,6]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[1,7,8,4,6,3,2,5]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[8,7,2,4,6,3,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[8,7,3,2,1,6,4,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[7,8,3,4,6,5,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[8,7,3,6,5,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>20
[3,1,2,8,6,5,7,4]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[3,8,2,7,5,4,6,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[8,7,1,4,5,3,6,2]=>[[1,4,5,7],[2],[3],[6],[8]]=>15
[2,8,7,4,6,3,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[2,8,7,4,6,3,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[8,3,4,1,2,5,7,6]=>[[1,3,6,7],[2,5,8],[4]]=>7
[8,4,1,3,2,5,7,6]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[7,3,8,6,2,1,4,5]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[7,2,8,4,6,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[5,8,6,4,7,2,3,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[4,7,2,6,5,8,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[3,6,8,5,7,4,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[6,7,5,2,4,8,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[8,1,2,7,5,6,3,4]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[8,2,7,3,4,6,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[6,7,5,4,8,1,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[8,3,5,6,4,7,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[8,5,6,2,4,3,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[6,5,8,1,3,4,2,7]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[6,8,4,5,1,3,2,7]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[6,4,8,7,5,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>24
[6,7,1,4,3,2,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[7,2,5,1,4,8,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[5,8,1,3,4,2,7,6]=>[[1,2,5,7],[3,4],[6,8]]=>15
[1,5,6,3,2,8,7,4]=>[[1,2,3,6],[4,7],[5,8]]=>16
[1,3,7,6,8,4,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[1,6,7,3,2,8,5,4]=>[[1,2,3,6],[4,7],[5,8]]=>16
[3,2,7,6,8,4,5,1]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[1,3,8,5,2,7,6,4]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[6,4,1,5,2,8,7,3]=>[[1,4,6],[2,5,7],[3,8]]=>9
[7,6,5,3,1,8,2,4]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[2,5,1,4,7,3,6,8]=>[[1,2,5,8],[3,4,7],[6]]=>10
[3,1,6,5,7,2,4,8]=>[[1,3,5,8],[2,4,7],[6]]=>8
[2,6,1,5,7,4,8,3]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[2,5,7,1,6,3,8,4]=>[[1,2,3,7],[4,5,8],[6]]=>15
[2,6,1,5,7,4,3,8]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[3,1,6,5,2,4,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[3,6,5,1,4,2,7,8]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[3,6,5,1,7,2,4,8]=>[[1,2,5,8],[3,6,7],[4]]=>11
[3,6,5,2,1,4,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[5,4,3,6,1,7,2,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[4,5,2,7,6,1,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>15
[4,6,5,3,1,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[5,4,1,6,3,7,2,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[5,4,2,6,3,7,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[3,6,5,7,1,4,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[3,6,5,1,4,7,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[4,3,6,5,7,1,2,8]=>[[1,3,5,8],[2,4],[6,7]]=>12
[4,2,6,5,1,3,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>10
[4,1,6,5,3,7,8,2]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[4,2,5,7,6,1,3,8]=>[[1,3,4,8],[2,5],[6,7]]=>13
[3,4,7,6,1,2,5,8]=>[[1,2,3,8],[4,6,7],[5]]=>13
[4,2,5,7,6,3,8,1]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[4,1,6,5,2,7,3,8]=>[[1,3,6,8],[2,4,7],[5]]=>7
[3,6,5,7,2,1,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[3,5,7,6,2,4,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[5,4,2,6,3,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[4,6,5,2,7,3,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[4,6,5,2,1,7,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[3,5,8,2,1,4,6,7]=>[[1,2,3,8],[4,6,7],[5]]=>13
[3,5,8,2,4,6,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>16
[5,3,8,2,1,4,6,7]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[5,3,1,8,2,4,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>4
[5,1,3,8,2,4,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>7
[1,5,8,4,2,3,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>10
[5,8,2,1,4,3,6,7]=>[[1,2,7,8],[3,5],[4,6]]=>10
[5,8,2,4,1,6,7,3]=>[[1,2,6,7],[3,4],[5,8]]=>14
[5,8,2,4,6,3,1,7]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[5,8,2,4,3,6,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[5,8,1,4,6,2,3,7]=>[[1,2,5,8],[3,4],[6,7]]=>14
[1,5,8,4,6,7,2,3]=>[[1,2,3,6],[4,5],[7,8]]=>18
[5,1,8,4,6,7,2,3]=>[[1,3,5,6],[2,4],[7,8]]=>14
[5,8,2,4,6,3,7,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[3,8,4,6,7,2,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[3,8,4,6,7,2,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[8,4,3,6,7,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[8,4,3,6,7,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[8,6,2,4,5,3,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>15
[1,8,6,4,5,7,2,3]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[8,6,2,4,5,3,1,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[1,8,6,4,2,3,5,7]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[3,8,1,6,2,4,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>8
[3,8,6,2,1,4,5,7]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[3,8,6,2,4,1,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[3,8,6,2,4,5,7,1]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[8,3,6,2,4,5,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[8,1,3,6,2,4,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>7
[8,3,6,7,2,1,4,5]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[3,8,6,7,2,1,4,5]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[8,2,6,4,5,1,7,3]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[1,8,4,6,7,5,2,3]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[8,4,6,2,3,7,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[8,4,7,2,1,3,6,5]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[2,7,1,6,3,5,8,4]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[8,4,2,1,5,3,7,6]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[8,2,1,4,7,3,6,5]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[1,6,2,5,8,4,7,3]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[2,1,5,8,7,3,6,4]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[3,2,1,6,7,4,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>8
[4,3,1,7,8,5,2,6]=>[[1,4,5],[2,6,8],[3,7]]=>10
[5,6,8,2,4,3,7,1]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[2,8,5,3,6,4,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[1,2,8,6,4,7,3,5]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[5,3,2,7,8,6,4,1]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[4,2,7,8,3,5,6,1]=>[[1,3,4,7],[2,5,6],[8]]=>12
[2,8,3,7,1,4,6,5]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[2,8,7,1,5,3,6,4]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[7,3,5,6,4,2,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>17
[3,8,4,2,7,6,5,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[4,8,3,2,7,5,6,1]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[3,2,4,8,7,5,6,1]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[2,6,8,1,5,3,4,7]=>[[1,2,3,8],[4,5,7],[6]]=>14
[3,2,5,6,8,1,4,7]=>[[1,3,4,5],[2,7,8],[6]]=>12
[3,8,1,6,4,5,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[8,1,3,6,5,4,2,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[7,4,3,6,2,1,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[1,2,4,8,6,3,7,5]=>[[1,2,3,4,7],[5,8],[6]]=>14
[7,2,1,5,3,4,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>6
[5,7,2,3,1,4,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>10
[7,1,5,2,4,6,8,3]=>[[1,3,5,6,7],[2],[4],[8]]=>11
[8,4,2,7,3,5,6,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[1,8,6,4,7,5,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[7,4,1,5,8,6,3,2]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[4,5,8,7,3,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[1,3,8,7,6,4,2,5]=>[[1,2,3,8],[4],[5],[6],[7]]=>18
[2,8,5,1,7,4,6,3]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[1,8,6,4,7,5,2,3]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[2,7,4,6,3,8,5,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[1,2,8,6,4,7,5,3]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[3,4,5,6,7,9,1,2,8]=>[[1,2,3,4,5,6],[7,8,9]]=>18
[3,4,5,7,8,9,1,2,6]=>[[1,2,3,4,5,6],[7,8,9]]=>18
[3,5,6,7,8,9,1,2,4]=>[[1,2,3,4,5,6],[7,8,9]]=>18
[3,4,5,6,8,9,10,1,2,7]=>[[1,2,3,4,5,6,7],[8,9,10]]=>21
[3,5,6,7,8,9,10,1,2,4]=>[[1,2,3,4,5,6,7],[8,9,10]]=>21
[3,4,5,6,7,8,1,2,9,10]=>[[1,2,3,4,5,6,9,10],[7,8]]=>12
[3,4,5,6,1,2,7,8,9]=>[[1,2,3,4,7,8,9],[5,6]]=>8
[4,1,8,6,3,7,5,2]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[8,4,3,1,6,2,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[7,5,4,3,8,1,6,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>14
[5,3,1,6,2,8,7,4]=>[[1,4,6],[2,5,7],[3,8]]=>9
[3,5,4,1,7,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>13
[6,4,2,1,5,7,3,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[3,1,5,8,7,2,4,6]=>[[1,3,4,8],[2,5,7],[6]]=>10
[3,2,5,7,8,4,6,1]=>[[1,3,4,5],[2,6,7],[8]]=>14
[5,3,7,4,2,6,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[5,3,7,4,2,6,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[5,3,8,4,2,1,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[5,2,8,4,3,1,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[5,1,8,4,3,2,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[5,2,7,4,3,6,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[5,2,7,4,3,6,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[5,3,7,4,1,6,8,2]=>[[1,3,6,7],[2,4],[5,8]]=>12
[3,1,5,7,8,4,6,2]=>[[1,3,4,5],[2,6,7],[8]]=>14
[3,1,5,7,8,4,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>13
[5,2,7,4,1,3,8,6]=>[[1,3,7],[2,4,8],[5,6]]=>11
[6,2,3,7,4,8,5,1]=>[[1,3,4,6],[2,5,7],[8]]=>13
[6,2,3,7,4,8,1,5]=>[[1,3,4,6],[2,5,8],[7]]=>12
[6,2,3,7,4,5,1,8]=>[[1,3,4,6,8],[2,5],[7]]=>9
[6,1,3,7,4,5,8,2]=>[[1,3,4,6,7],[2,5],[8]]=>10
[1,2,8,6,4,3,5,7]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[6,1,3,7,4,5,2,8]=>[[1,3,4,6,8],[2,5],[7]]=>9
[1,8,6,3,5,4,2,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>16
[2,6,1,8,5,3,4,7]=>[[1,2,4,8],[3,5,7],[6]]=>13
[4,5,7,8,1,6,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[2,5,7,8,4,6,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[1,8,2,7,5,3,4,6]=>[[1,2,4,7,8],[3],[5],[6]]=>11
[2,5,4,1,8,6,7,3]=>[[1,2,5,7],[3,6],[4,8]]=>13
[7,3,5,1,4,8,6,2]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[7,1,3,2,4,5,6,8]=>[[1,3,5,6,7,8],[2],[4]]=>4
[3,8,7,1,4,2,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[5,1,7,8,2,4,3,6]=>[[1,3,4,8],[2,5,6],[7]]=>11
[8,5,4,6,1,7,3,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[5,3,2,1,4,6,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[5,3,2,4,8,1,6,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[5,3,2,4,7,1,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[8,4,5,3,7,1,2,6]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[4,8,1,7,3,5,6,2]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[5,3,2,4,6,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[1,2,5,6,7,3,8,9,4]=>[[1,2,3,4,5,7,8],[6,9]]=>12
[1,2,4,3,5,7,8,9,6]=>[[1,2,3,5,6,7,8],[4,9]]=>10
[4,6,8,3,7,1,5,2]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[1,7,6,4,2,5,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[7,6,4,2,8,3,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[8,5,2,4,3,7,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[8,5,1,4,3,7,6,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[7,5,4,1,3,6,8,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>13
[3,6,7,2,5,1,8,4]=>[[1,2,3,7],[4,5],[6,8]]=>17
[2,6,5,7,1,4,8,3]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[3,5,1,7,8,4,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>17
[1,5,2,4,6,8,7,3]=>[[1,2,4,5,6],[3,7],[8]]=>14
[8,1,2,4,7,6,5,3]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[3,4,1,8,6,7,5,2]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[4,3,8,5,1,7,6,2]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[6,1,3,2,8,5,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>10
[3,1,2,4,5,6,7,9,8]=>[[1,3,4,5,6,7,8],[2,9]]=>7
[8,5,3,2,4,7,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>14
[6,7,4,2,5,8,3,1]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[8,5,4,2,6,3,1,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[8,5,2,1,6,4,3,7]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[8,4,6,5,1,3,2,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[1,3,8,4,7,5,2,6]=>[[1,2,3,5,8],[4],[6],[7]]=>14
[5,3,7,1,4,6,8,2]=>[[1,3,6,7],[2,5],[4,8]]=>9
[5,7,2,6,1,4,8,3]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[3,8,5,7,6,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[8,4,7,5,2,1,3,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[3,8,6,4,7,2,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[5,2,7,4,6,8,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[4,8,6,3,7,2,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[2,8,3,1,7,6,4,5]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[2,5,6,4,8,1,7,3]=>[[1,2,3,5],[4,7],[6,8]]=>17
[5,7,2,1,6,8,3,4]=>[[1,2,6],[3,5,8],[4,7]]=>12
[4,7,8,5,1,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>17
[4,5,2,1,6,7,8,3]=>[[1,2,5,6,7],[3,8],[4]]=>10
[4,5,6,3,1,7,8,2]=>[[1,2,3,6,7],[4,8],[5]]=>12
[3,5,6,7,4,1,8,2]=>[[1,2,3,4,7],[5,8],[6]]=>14
[3,5,1,4,2,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>15
[3,5,1,4,2,6,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>10
[3,5,1,4,2,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>8
[1,3,8,4,6,2,5,7]=>[[1,2,3,5,8],[4,7],[6]]=>12
[1,8,4,2,3,7,5,6]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,4,8,3,2,7,6,5]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[1,3,7,6,5,2,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[1,2,8,6,7,5,4,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>21
[1,7,5,4,3,2,6,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>14
[8,9,10,5,6,7,1,3,4,2]=>[[1,2,3],[4,5,6],[7,8,9],[10]]=>36
[8,5,9,10,3,6,7,1,2,4]=>[[1,3,4],[2,6,7],[5,9,10],[8]]=>24
[3,8,5,7,4,6,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[7,6,3,2,5,1,8,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[4,2,5,7,8,6,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[6,7,2,4,5,1,8,3]=>[[1,2,5,7],[3,4],[6,8]]=>15
[5,2,7,8,3,6,1,4]=>[[1,3,4],[2,5,6],[7,8]]=>17
[8,5,1,2,3,7,4,6]=>[[1,4,5,6,8],[2,7],[3]]=>6
[5,2,8,3,1,4,7,6]=>[[1,3,6,7],[2,4],[5,8]]=>12
[8,7,2,5,1,4,3,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[8,4,1,3,2,7,6,5]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[8,3,5,1,2,4,7,6]=>[[1,3,6,7],[2,5,8],[4]]=>7
[8,6,5,1,7,4,2,3]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[8,7,4,5,1,2,6,3]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[3,8,6,2,7,1,5,4]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[3,8,4,2,1,7,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[8,3,1,7,5,6,2,4]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[8,4,1,7,5,2,6,3]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[8,4,2,7,5,3,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[8,4,3,7,5,1,2,6]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[8,5,7,6,4,3,1,2]=>[[1,3],[2,8],[4],[5],[6],[7]]=>20
[8,4,7,6,5,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>20
[8,3,1,4,7,6,2,5]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[8,3,5,7,6,2,4,1]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[1,4,6,8,2,5,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>19
[3,6,2,4,8,1,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>16
[7,3,8,2,4,6,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[1,5,2,6,8,3,7,4]=>[[1,2,4,5],[3,6,7],[8]]=>17
[4,5,3,1,8,2,6,7]=>[[1,2,5,8],[3,6,7],[4]]=>11
[7,2,8,4,1,3,5,6]=>[[1,3,7,8],[2,4],[5,6]]=>10
[6,1,7,3,2,8,4,5]=>[[1,3,6,8],[2,4,7],[5]]=>7
[6,2,1,7,3,8,4,5]=>[[1,4,6,8],[2,5,7],[3]]=>5
[5,8,2,1,3,4,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>7
[4,2,5,1,8,3,6,7]=>[[1,3,5,8],[2,6,7],[4]]=>8
[7,4,2,8,3,1,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[7,4,2,8,3,5,1,6]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[6,7,8,5,2,1,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[1,6,2,7,8,4,3,5]=>[[1,2,4,5],[3,6,8],[7]]=>16
[7,3,4,1,8,6,2,5]=>[[1,3,5],[2,6,8],[4,7]]=>11
[4,7,6,3,5,8,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[3,7,6,5,2,4,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[1,4,7,8,6,2,5,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[1,6,7,8,3,2,5,4]=>[[1,2,3,4],[5,7],[6,8]]=>18
[1,3,2,7,8,4,6,5]=>[[1,2,4,5],[3,6,7],[8]]=>17
[5,7,1,4,6,2,8,3]=>[[1,2,5,7],[3,4],[6,8]]=>15
[6,3,1,4,7,8,2,5]=>[[1,4,5,6],[2,7,8],[3]]=>9
[4,5,7,1,8,6,2,3]=>[[1,2,3,5],[4,6,8],[7]]=>17
[4,3,8,6,5,2,7,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[2,3,8,6,5,1,7,4]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[5,4,7,3,1,2,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[3,1,2,6,5,7,8,4]=>[[1,3,4,6,7],[2,5],[8]]=>10
[7,3,2,6,1,4,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[3,2,5,6,8,4,1,7]=>[[1,3,4,5],[2,6,8],[7]]=>13
[7,2,6,8,5,4,3,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>23
[3,7,5,6,2,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[1,3,4,5,6,7,2,9,8]=>[[1,2,3,4,5,6,8],[7,9]]=>13
[4,2,5,1,3,6,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>7
[5,3,4,2,7,1,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[6,5,2,1,3,8,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[2,4,3,5,6,8,1,7]=>[[1,2,4,5,6],[3,8],[7]]=>13
[6,3,2,4,8,5,1,7]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[6,3,1,2,7,8,4,5]=>[[1,4,5,6],[2,7,8],[3]]=>9
[8,4,7,1,2,5,3,6]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[7,4,6,1,8,5,2,3]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[8,5,6,7,2,1,4,3]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[2,5,6,3,8,4,7,1]=>[[1,2,3,5],[4,6,7],[8]]=>18
[1,7,6,2,8,3,5,4]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[4,1,3,8,5,2,7,6]=>[[1,3,4,7],[2,5],[6,8]]=>14
[1,8,5,4,7,2,3,6]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[8,2,5,6,4,3,1,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[2,4,3,8,6,5,1,7]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[3,1,4,5,8,6,2,7]=>[[1,3,4,5,8],[2,6],[7]]=>10
[1,8,3,2,5,4,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>8
[5,1,7,3,2,8,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>7
[5,7,8,1,3,2,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>14
[8,2,4,1,6,7,3,5]=>[[1,3,5,6],[2,7,8],[4]]=>10
[8,7,3,6,2,4,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[1,7,4,8,3,6,2,5]=>[[1,2,4],[3,6],[5,8],[7]]=>19
[7,8,6,1,3,5,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[1,7,5,8,4,3,2,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[6,3,1,2,7,8,5,4]=>[[1,4,5,6],[2,7],[3,8]]=>10
[8,2,7,5,3,4,1,6]=>[[1,3,6,8],[2],[4],[5],[7]]=>14
[6,3,1,2,8,7,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[8,4,7,2,6,3,1,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[7,6,3,4,2,1,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[8,4,6,2,3,7,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[3,4,5,8,1,7,2,6]=>[[1,2,3,4],[5,6,8],[7]]=>18
[6,3,4,2,7,8,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[5,6,3,7,8,2,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[8,6,3,4,7,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[4,3,8,6,7,5,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[4,5,6,2,7,8,3,1]=>[[1,2,3,5,6],[4,7],[8]]=>15
[4,5,6,2,7,1,8,3]=>[[1,2,3,5,7],[4,8],[6]]=>13
[4,5,6,2,1,7,8,3]=>[[1,2,3,6,7],[4,8],[5]]=>12
[4,5,6,2,1,7,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[6,8,7,2,3,1,4,5]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[4,5,1,6,7,3,2,8]=>[[1,2,4,5,8],[3,6],[7]]=>12
[2,5,1,8,3,7,4,6]=>[[1,2,4,8],[3,5,6],[7]]=>14
[5,7,2,1,3,8,4,6]=>[[1,2,6,8],[3,5,7],[4]]=>8
[7,1,5,4,2,6,3,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[2,7,4,5,6,8,1,3]=>[[1,2,4,5,6],[3,8],[7]]=>13
[2,3,4,6,8,1,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>17
[2,3,4,5,7,9,1,8,6]=>[[1,2,3,4,5,6],[7,8],[9]]=>20
[2,3,5,8,1,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>15
[2,4,7,5,6,8,1,3]=>[[1,2,3,5,6],[4,8],[7]]=>14
[2,3,4,5,6,8,10,1,9,7]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>23
[2,3,4,7,6,9,8,5,1]=>[[1,2,3,4,6],[5,7],[8],[9]]=>24
[7,3,4,6,2,8,1,5]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[4,7,6,5,2,8,3,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[2,5,4,8,6,7,3,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[7,5,4,1,6,8,2,3]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[8,5,2,1,7,6,3,4]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[2,7,3,6,4,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[7,2,1,8,5,6,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[3,6,5,1,4,8,2,7]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[6,3,5,4,8,1,2,7]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[2,5,1,4,6,3,8,7]=>[[1,2,5,7],[3,4,8],[6]]=>11
[3,1,5,6,4,2,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>11
[8,5,6,4,3,1,7,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[8,3,5,6,7,1,2,4]=>[[1,3,4,5],[2,7,8],[6]]=>12
[2,1,4,7,3,6,8,5]=>[[1,3,4,7],[2,5,6],[8]]=>12
[5,3,7,6,4,8,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[3,7,6,4,2,8,1,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[8,6,1,4,3,7,2,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[8,4,7,5,1,6,3,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[2,1,5,3,7,8,6,4]=>[[1,3,5,6],[2,4,7],[8]]=>11
[5,1,4,7,6,8,2,3]=>[[1,3,4,6],[2,5],[7,8]]=>15
[8,4,1,3,7,6,5,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[8,3,4,1,6,7,5,2]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[8,1,4,2,6,5,7,3]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[5,8,1,4,3,2,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[5,6,4,3,8,2,7,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[1,6,4,3,8,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[7,8,1,4,3,2,5,6]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[7,1,8,4,5,3,6,2]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[4,3,1,8,6,5,7,2]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[4,3,2,7,5,1,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[5,2,3,7,4,1,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>11
[2,1,7,4,3,6,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>8
[7,1,2,4,5,6,8,3]=>[[1,3,4,5,6,7],[2],[8]]=>8
[2,8,7,1,4,5,6,3]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[8,7,1,3,4,5,6,2]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[5,8,3,1,4,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>12
[1,7,2,5,4,6,8,3]=>[[1,2,4,6,7],[3],[5],[8]]=>13
[2,5,3,8,1,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>14
[1,6,4,2,5,7,8,3]=>[[1,2,5,6,7],[3,8],[4]]=>10
[6,5,3,4,1,7,8,2]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[5,6,3,4,1,7,8,2]=>[[1,2,6,7],[3,4],[5,8]]=>14
[2,5,3,1,4,7,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>10
[6,8,2,3,1,5,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>14
[4,3,1,5,2,7,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>6
[5,2,3,1,4,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>8
[7,2,1,3,5,6,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>7
[5,2,4,7,8,6,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[5,4,8,7,2,3,1,6]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[8,1,4,5,3,6,2,7]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[8,3,5,1,4,6,2,7]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[5,8,2,1,7,4,3,6]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[6,5,7,2,1,8,4,3]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[1,5,4,7,3,8,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[7,4,1,3,8,5,6,2]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[3,6,8,4,1,7,2,5]=>[[1,2,3],[4,6,8],[5,7]]=>17
[2,1,8,4,7,6,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>14
[2,7,5,6,8,4,3,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[3,5,2,4,7,8,6,1]=>[[1,2,5,6],[3,4,7],[8]]=>13
[7,5,6,3,8,2,1,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[1,6,2,7,4,5,8,3]=>[[1,2,4,6,7],[3,5],[8]]=>12
[7,4,2,6,1,5,8,3]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[8,4,1,6,2,5,7,3]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[7,3,4,5,1,6,8,2]=>[[1,3,4,6,7],[2,8],[5]]=>9
[1,4,2,6,3,7,5,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>14
[1,3,2,6,4,7,5,9,8]=>[[1,2,4,6,8],[3,5,7,9]]=>14
[2,1,6,3,7,4,8,5,9]=>[[1,3,5,7,9],[2,4,6,8]]=>4
[8,4,2,7,6,1,5,3]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[8,4,7,1,2,6,5,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[8,4,7,6,1,2,5,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[8,7,6,2,1,5,3,4]=>[[1,6,8],[2,7],[3],[4],[5]]=>11
[5,7,8,1,6,2,4,3]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[6,8,7,4,2,5,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[6,8,4,5,7,2,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[3,2,4,1,5,6,7,8,9]=>[[1,3,5,6,7,8,9],[2],[4]]=>4
[3,1,6,5,4,7,2,8]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[4,1,2,6,5,3,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>8
[4,6,1,3,5,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>9
[4,2,6,3,5,1,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>7
[4,6,1,2,5,3,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>9
[5,8,4,7,1,3,6,2]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[6,8,3,1,5,4,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[5,1,3,6,7,4,2,8]=>[[1,3,4,5,8],[2,6],[7]]=>10
[4,2,8,6,7,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>13
[6,1,2,4,7,3,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>9
[1,2,4,3,6,5,8,7,9]=>[[1,2,3,5,7,9],[4,6,8]]=>12
[5,6,1,4,8,3,2,7]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[3,6,4,1,7,2,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>12
[2,4,1,5,3,6,7,8,9,10]=>[[1,2,4,6,7,8,9,10],[3,5]]=>5
[3,4,7,1,8,2,9,5,10,6]=>[[1,2,3,5,7,9],[4,6,8,10]]=>18
[5,2,6,3,7,8,4,1]=>[[1,3,5,6],[2,4,7],[8]]=>11
[2,4,1,3,7,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>13
[2,6,1,5,7,8,4,3]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[5,1,6,4,7,8,2,3]=>[[1,3,5,6],[2,4,8],[7]]=>10
[8,4,6,3,7,5,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[4,7,6,8,2,3,5,1]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[5,7,4,8,1,2,6,3]=>[[1,2,4],[3,6,7],[5,8]]=>17
[3,6,7,5,8,1,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[3,7,5,6,8,2,4,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[2,7,1,6,8,4,5,3]=>[[1,2,5],[3,4,7],[6],[8]]=>17
[1,5,4,7,2,6,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>13
[2,4,5,8,3,1,7,6]=>[[1,2,3,4],[5,7],[6,8]]=>18
[1,4,7,5,8,3,6,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[2,6,8,7,3,5,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[4,7,8,6,2,5,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[4,8,7,3,5,6,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[1,7,6,3,5,4,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>16
[4,3,8,1,6,5,7,2]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[1,3,6,2,5,8,7,4]=>[[1,2,3,6],[4,5,7],[8]]=>17
[5,8,7,1,4,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[6,2,5,1,3,4,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>7
[2,6,5,1,3,4,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>9
[4,6,5,1,2,7,3,8]=>[[1,2,6,8],[3,5,7],[4]]=>8
[5,6,4,1,2,7,3,8]=>[[1,2,6,8],[3,5,7],[4]]=>8
[8,1,5,6,2,4,3,7]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[6,4,5,1,2,7,3,8]=>[[1,3,6,8],[2,5,7],[4]]=>6
[5,4,6,1,3,2,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[5,7,1,4,3,2,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[2,6,4,1,3,7,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>8
[7,8,5,3,2,1,6,4]=>[[1,2],[3,7],[4,8],[5],[6]]=>19
[1,2,6,7,8,4,5,3]=>[[1,2,3,4,5],[6,7],[8]]=>17
[6,1,4,8,2,7,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[7,2,3,1,8,4,6,5]=>[[1,3,5,7],[2,6],[4,8]]=>10
[5,4,1,7,3,2,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[7,3,4,5,1,8,6,2]=>[[1,3,4,6],[2,7],[5,8]]=>12
[1,5,6,7,4,8,2,3]=>[[1,2,3,4,6],[5,8],[7]]=>15
[6,3,2,5,7,4,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[4,5,2,7,6,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[4,5,2,1,7,6,3,8]=>[[1,2,5,8],[3,6],[4,7]]=>12
[2,6,7,8,3,1,4,5]=>[[1,2,3,4],[5,7,8],[6]]=>17
[6,3,2,5,1,7,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[4,6,3,7,8,2,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[5,6,7,1,8,4,2,3]=>[[1,2,3,5],[4,6,8],[7]]=>17
[1,7,3,2,8,6,5,4]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[3,7,1,2,8,6,5,4]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[2,7,8,1,6,5,3,4]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[8,1,5,7,3,4,6,2]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[5,8,2,7,6,3,1,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[2,8,4,7,6,3,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[1,8,2,4,7,6,3,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[4,5,8,7,1,6,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[1,8,2,4,6,7,5,3]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[2,5,1,8,4,7,6,3]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[3,4,2,8,1,7,6,5]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[2,4,5,8,1,7,6,3]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[3,1,8,2,6,7,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[2,6,8,1,4,3,7,5]=>[[1,2,3],[4,5,7],[6,8]]=>20
[1,6,5,2,8,7,3,4]=>[[1,2,5,8],[3,6],[4,7]]=>12
[2,6,1,5,8,7,3,4]=>[[1,2,5],[3,4,6],[7,8]]=>17
[8,1,7,3,5,2,4,6]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[8,1,3,2,7,6,4,5]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[7,3,4,8,6,2,5,1]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[7,5,8,1,6,2,3,4]=>[[1,3,7,8],[2,5],[4,6]]=>7
[6,8,4,5,3,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[6,7,5,3,2,8,4,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[6,2,5,3,8,1,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[7,6,1,3,5,2,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[6,2,4,5,3,8,1,7]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[6,1,5,4,7,2,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[6,8,5,4,7,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>22
[1,6,8,4,2,5,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>15
[7,5,8,1,3,4,2,6]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[1,4,2,8,3,5,7,6]=>[[1,2,4,6,7],[3,5],[8]]=>12
[1,3,5,4,8,7,2,6]=>[[1,2,3,5],[4,6],[7,8]]=>19
[1,6,2,4,8,3,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>16
[1,7,8,5,4,2,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[1,5,2,8,6,4,7,3]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[1,6,5,2,7,4,8,3]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[5,1,6,7,4,2,8,3]=>[[1,3,4,7],[2,5,8],[6]]=>11
[1,5,4,2,8,6,7,3]=>[[1,2,5,7],[3,6],[4,8]]=>13
[1,8,5,4,6,2,7,3]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[1,7,5,4,6,2,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[5,8,4,1,6,2,7,3]=>[[1,2,7],[3,5,8],[4,6]]=>11
[4,8,1,3,7,6,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[4,5,3,1,2,8,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>13
[6,4,2,3,1,8,7,5]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[6,5,2,1,3,8,7,4]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[7,6,1,8,2,5,3,4]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[8,4,2,3,7,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[5,7,8,1,2,4,3,6]=>[[1,2,3,8],[4,5,6],[7]]=>15
[1,7,6,8,3,5,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[5,7,6,4,2,1,3,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[6,5,7,4,1,3,2,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[4,6,1,8,3,5,2,7]=>[[1,2,4,8],[3,5,6],[7]]=>14
[7,1,6,8,2,5,4,3]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[4,7,1,8,3,2,5,6]=>[[1,2,4,8],[3,5,7],[6]]=>13
[4,8,3,6,1,5,2,7]=>[[1,2,8],[3,4],[5,6],[7]]=>18
[1,7,8,6,4,5,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[3,2,8,6,4,5,1,7]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[8,4,3,6,2,5,1,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[1,6,8,7,4,3,5,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[3,1,2,6,8,7,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[5,7,4,2,1,8,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[8,6,5,7,2,4,3,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>21
[7,4,6,1,8,5,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[7,4,6,3,8,1,5,2]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[7,4,8,1,6,3,2,5]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[7,4,8,3,6,2,1,5]=>[[1,3],[2,5],[4,8],[6],[7]]=>18
[6,4,8,2,3,5,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[4,6,8,2,5,7,1,3]=>[[1,2,3],[4,5,6],[7,8]]=>21
[6,4,8,2,5,7,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[6,2,4,5,8,3,7,1]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[6,8,2,4,7,3,5,1]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[8,4,6,2,7,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[6,8,4,2,7,1,3,5]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[6,8,2,4,1,7,3,5]=>[[1,2,6],[3,4,8],[5,7]]=>14
[7,5,1,6,2,4,8,3]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[4,2,5,7,1,6,8,3]=>[[1,3,4,7],[2,6],[5,8]]=>11
[4,5,2,3,8,7,1,6]=>[[1,2,5],[3,4,6],[7,8]]=>17
[2,5,4,7,6,1,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>15
[5,2,3,7,6,1,4,8]=>[[1,3,4,8],[2,5],[6,7]]=>13
[4,2,3,7,6,1,5,8]=>[[1,3,4,8],[2,5],[6,7]]=>13
[4,2,7,3,5,1,6,8]=>[[1,3,5,7,8],[2,4],[6]]=>7
[5,6,2,3,8,4,7,1]=>[[1,2,5,7],[3,4,6],[8]]=>12
[5,6,2,3,1,7,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>10
[5,7,2,3,4,1,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>9
[6,2,7,3,5,1,4,8]=>[[1,3,5,8],[2,4],[6,7]]=>12
[7,2,6,3,5,1,4,8]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[6,5,2,3,1,7,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[6,5,2,3,8,4,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[7,5,2,1,4,6,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[8,5,2,3,1,6,4,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[8,6,2,3,1,5,4,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[8,2,6,3,1,7,4,5]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[1,6,3,4,2,7,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>10
[8,5,2,7,3,4,6,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[1,7,2,4,5,6,8,3]=>[[1,2,4,5,6,7],[3],[8]]=>9
[1,8,3,2,5,6,4,7]=>[[1,2,5,6,8],[3,7],[4]]=>9
[7,2,8,1,4,6,3,5]=>[[1,3,6],[2,5,8],[4,7]]=>9
[2,7,8,1,5,6,3,4]=>[[1,2,3],[4,5,6],[7,8]]=>21
[6,8,2,3,1,5,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>13
[5,8,2,3,1,6,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>13
[5,7,2,1,4,6,8,3]=>[[1,2,6,7],[3,5],[4,8]]=>12
[4,2,7,1,5,6,8,3]=>[[1,3,6,7],[2,5],[4,8]]=>9
[4,2,3,8,1,7,5,6]=>[[1,3,4,8],[2,6],[5,7]]=>10
[4,2,1,5,3,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>5
[5,1,3,8,4,6,7,2]=>[[1,3,4,6,7],[2,5],[8]]=>10
[5,1,3,2,6,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>8
[5,1,3,4,2,7,6,8]=>[[1,3,4,6,8],[2,7],[5]]=>8
[6,1,3,4,2,7,5,8]=>[[1,3,4,6,8],[2,7],[5]]=>8
[7,2,1,3,5,8,4,6]=>[[1,4,5,6],[2,7,8],[3]]=>9
[6,8,7,2,3,4,5,1]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[3,7,2,8,1,4,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>12
[5,2,3,7,4,6,1,8]=>[[1,3,4,6,8],[2,5],[7]]=>9
[2,5,3,7,4,6,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[2,6,7,3,4,5,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>12
[6,2,7,3,4,5,1,8]=>[[1,3,5,6,8],[2,4],[7]]=>8
[3,8,4,5,2,1,6,7]=>[[1,2,4,7,8],[3],[5],[6]]=>11
[2,7,6,3,4,5,1,8]=>[[1,2,5,6,8],[3],[4],[7]]=>11
[2,8,7,5,1,3,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[3,1,2,9,4,5,6,7,8]=>[[1,3,4,6,7,8,9],[2,5]]=>3
[4,1,2,3,9,5,6,7,8]=>[[1,3,4,5,7,8,9],[2,6]]=>4
[5,1,2,3,4,9,6,7,8]=>[[1,3,4,5,6,8,9],[2,7]]=>5
[6,1,2,3,4,5,9,7,8]=>[[1,3,4,5,6,7,9],[2,8]]=>6
[2,1,10,3,4,5,6,7,8,9]=>[[1,3,5,6,7,8,9,10],[2,4]]=>2
[3,4,1,2,9,5,6,7,8]=>[[1,2,5,7,8,9],[3,4,6]]=>5
[4,5,1,2,3,9,6,7,8]=>[[1,2,5,6,8,9],[3,4,7]]=>6
[5,6,1,2,3,4,9,7,8]=>[[1,2,5,6,7,9],[3,4,8]]=>7
[4,5,7,2,8,3,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>18
[9,7,5,3,1,8,6,4,2]=>[[1,6],[2,7],[3,8],[4,9],[5]]=>16
[9,5,1,6,2,7,3,8,4]=>[[1,4,6,8],[2,5,7,9],[3]]=>6
[4,5,6,9,3,8,2,7,1]=>[[1,2,3,4],[5,6],[7,8],[9]]=>28
[10,7,4,1,8,5,2,9,6,3]=>[[1,5,8],[2,6,9],[3,7,10],[4]]=>12
[5,2,1,3,6,7,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>7
[7,5,2,6,1,8,4,3]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[6,1,5,2,7,8,4,3]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[7,5,6,8,4,1,3,2]=>[[1,3,4],[2,7],[5],[6],[8]]=>19
[8,3,7,5,1,4,2,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[8,1,5,7,3,6,2,4]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[8,3,2,6,4,5,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[8,5,3,7,4,1,2,6]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[8,5,6,2,7,1,3,4]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[8,4,7,2,6,5,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>18
[8,5,7,3,2,6,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>17
[8,1,2,3,6,4,7,5]=>[[1,3,4,5,7],[2,8],[6]]=>10
[7,6,2,3,5,8,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[4,5,3,7,8,1,6,2]=>[[1,2,4,5],[3,7],[6,8]]=>16
[3,4,2,8,1,6,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>14
[8,3,4,1,5,7,6,2]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[4,3,7,5,1,6,2,8]=>[[1,3,6,8],[2,4],[5,7]]=>11
[5,2,6,1,4,3,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>7
[5,3,7,4,2,8,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[7,2,5,8,6,1,4,3]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[5,3,1,4,6,7,8,2]=>[[1,4,5,6,7],[2,8],[3]]=>7
[4,6,2,1,3,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>9
[2,5,4,1,3,6,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>7
[3,1,6,7,8,4,5,2]=>[[1,3,4,5],[2,6,7],[8]]=>14
[7,4,5,6,2,1,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[3,7,5,6,2,1,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[1,7,6,3,8,4,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[6,4,1,2,7,8,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>9
[6,4,1,3,5,2,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[5,1,8,3,4,6,2,7]=>[[1,3,5,6,8],[2,4],[7]]=>8
[4,5,8,2,3,7,1,6]=>[[1,2,3],[4,5,6],[7,8]]=>21
[7,3,4,8,2,5,1,6]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[4,7,2,5,1,6,8,3]=>[[1,2,6,7],[3,4],[5,8]]=>14
[7,2,8,1,5,6,4,3]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[5,6,4,2,1,8,3,7]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[2,4,3,5,8,1,6,7]=>[[1,2,4,5,8],[3,7],[6]]=>11
[2,6,5,3,8,1,4,7]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[6,1,2,4,3,5,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>5
[6,5,8,2,7,3,4,1]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[1,7,6,8,4,3,2,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[1,7,6,5,3,8,2,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[6,1,2,4,3,5,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>9
[4,6,1,3,7,8,5,2]=>[[1,2,5,6],[3,4,7],[8]]=>13
[8,4,1,5,2,6,7,3]=>[[1,4,6,7],[2,5,8],[3]]=>6
[1,5,6,3,8,7,2,4]=>[[1,2,3,5],[4,6],[7,8]]=>19
[5,3,2,6,8,7,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[6,3,5,2,7,1,4,8]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[8,5,2,6,7,1,4,3]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[5,3,8,7,1,4,2,6]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[6,4,5,3,1,8,7,2]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[8,5,1,2,3,6,7,4]=>[[1,4,5,6,7],[2,8],[3]]=>7
[2,8,6,1,5,4,7,3]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[8,3,2,6,1,5,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[3,8,6,4,7,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[1,8,7,5,4,3,2,6]=>[[1,2,8],[3],[4],[5],[6],[7]]=>20
[8,6,4,7,1,3,2,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[3,1,4,7,6,2,5,8]=>[[1,3,4,8],[2,5,7],[6]]=>10
[5,3,4,1,6,2,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>6
[2,7,1,4,6,3,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>10
[7,3,1,6,5,2,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[7,1,5,2,4,6,3,8]=>[[1,3,5,6,8],[2],[4],[7]]=>10
[6,1,4,5,2,7,3,8]=>[[1,3,4,6,8],[2,7],[5]]=>8
[6,1,5,8,2,7,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[7,1,2,3,6,4,5,8]=>[[1,3,4,5,7,8],[2],[6]]=>6
[2,8,4,6,5,1,7,3]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[7,4,1,3,6,5,2,8]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[5,7,2,8,1,3,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>17
[6,5,1,4,7,3,2,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[2,7,8,4,1,3,6,5]=>[[1,2,3],[4,6,7],[5,8]]=>18
[2,4,6,5,7,8,1,3]=>[[1,2,3,5,6],[4,8],[7]]=>14
[2,4,6,7,5,8,1,3]=>[[1,2,3,4,6],[5,8],[7]]=>15
[2,4,6,3,7,8,1,5]=>[[1,2,3,5,6],[4,8],[7]]=>14
[2,4,5,6,8,7,1,3]=>[[1,2,3,4,5],[6,8],[7]]=>16
[2,4,5,6,8,3,7,1]=>[[1,2,3,4,5],[6,7],[8]]=>17
[2,4,5,6,3,8,1,7]=>[[1,2,3,4,6],[5,8],[7]]=>15
[2,3,4,6,8,5,1,7]=>[[1,2,3,4,5],[6,8],[7]]=>16
[5,2,8,3,4,1,6,7]=>[[1,3,5,7,8],[2,4],[6]]=>7
[3,6,4,1,2,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>9
[4,1,7,3,8,6,2,5]=>[[1,3,5],[2,4,6],[7,8]]=>15
[8,4,1,2,5,3,7,6]=>[[1,4,5,7],[2,6,8],[3]]=>8
[1,5,2,7,6,8,4,3]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[4,7,6,8,3,1,2,5]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[4,8,2,7,6,5,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[7,4,2,8,6,5,1,3]=>[[1,4],[2,5],[3,6],[7,8]]=>18
[8,6,5,2,7,1,4,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>14
[6,5,8,2,7,1,4,3]=>[[1,3],[2,5],[4,7],[6,8]]=>15
[7,5,8,2,1,6,4,3]=>[[1,3],[2,6],[4,7],[5,8]]=>14
[3,2,1,6,5,8,4,7]=>[[1,4,6],[2,5,8],[3,7]]=>8
[2,6,4,8,5,7,3,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[6,3,1,4,5,8,2,7]=>[[1,4,5,6],[2,7,8],[3]]=>9
[3,4,8,5,2,1,7,6]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[4,8,7,1,3,2,6,5]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[5,8,7,4,6,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>22
[3,4,1,8,7,6,2,5]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[1,3,5,6,8,7,2,4]=>[[1,2,3,4,5],[6,8],[7]]=>16
[2,8,7,5,4,1,6,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[8,1,5,7,4,2,6,3]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[5,8,7,3,4,1,6,2]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[4,6,1,3,2,8,5,7]=>[[1,2,6,8],[3,4,7],[5]]=>9
[2,6,5,8,3,1,4,7]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[6,7,8,2,4,5,3,1]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[3,2,8,4,5,7,1,6]=>[[1,3,5,6],[2,4],[7,8]]=>14
[6,1,8,2,4,5,3,7]=>[[1,3,5,6,8],[2,4],[7]]=>8
[8,3,6,4,2,7,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[1,3,8,4,7,6,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[8,3,7,5,4,1,2,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[2,6,4,7,8,5,1,3]=>[[1,2,4,5],[3,6],[7,8]]=>18
[5,4,3,7,6,1,8,2]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[8,6,3,7,1,4,2,5]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[3,1,2,8,7,6,4,5]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[8,5,4,1,2,3,7,6]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[8,3,2,1,6,4,7,5]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[2,3,8,4,1,7,5,6]=>[[1,2,3,6,8],[4,7],[5]]=>11
[4,6,1,3,2,7,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>10
[6,7,2,5,8,4,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[4,1,7,8,2,5,6,3]=>[[1,3,4,7],[2,5,6],[8]]=>12
[3,4,6,7,1,5,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>15
[3,4,5,7,8,1,6,2]=>[[1,2,3,4,5],[6,7],[8]]=>17
[1,8,7,4,3,5,2,6]=>[[1,2,6,8],[3],[4],[5],[7]]=>15
[2,4,5,8,1,3,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>19
[6,3,1,5,8,4,2,7]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[2,8,3,5,6,1,4,7]=>[[1,2,4,5,8],[3,7],[6]]=>11
[1,3,6,4,2,7,5,8]=>[[1,2,3,6,8],[4,7],[5]]=>11
[2,3,7,5,8,1,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>16
[3,2,8,5,6,1,4,7]=>[[1,3,5,8],[2,4],[6,7]]=>12
[7,2,5,8,1,4,6,3]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[4,7,5,8,1,2,6,3]=>[[1,2,4],[3,6,7],[5,8]]=>17
[4,7,5,8,1,2,3,6]=>[[1,2,4,8],[3,6,7],[5]]=>12
[3,4,7,5,2,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[4,3,2,5,7,8,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[2,4,7,5,8,3,1,6]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[2,5,4,7,3,8,1,6]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[3,7,8,4,2,1,6,5]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[5,6,7,9,1,2,3,4,8]=>[[1,2,3,4,9],[5,6,7,8]]=>16
[4,5,6,7,9,1,2,3,8]=>[[1,2,3,4,5],[6,7,8,9]]=>20
[7,8,10,1,2,3,4,5,6,9]=>[[1,2,3,7,8,9,10],[4,5,6]]=>9
[4,5,6,7,8,10,1,2,3,9]=>[[1,2,3,4,5,6],[7,8,9,10]]=>24
[8,5,4,7,6,3,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[1,5,4,8,7,6,2,3]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[3,2,4,5,8,1,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>9
[3,6,8,4,2,7,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[3,6,5,1,7,2,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>12
[7,4,1,6,2,8,5,3]=>[[1,4,6],[2,5,7],[3],[8]]=>12
[1,3,6,8,2,4,7,5]=>[[1,2,3,4],[5,6,7],[8]]=>19
[1,6,7,4,3,8,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[7,3,1,6,5,2,8,4]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[8,5,4,1,6,2,7,3]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[4,7,2,8,5,1,6,3]=>[[1,2,4],[3,5,7],[6,8]]=>19
[7,8,6,2,1,5,4,3]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[2,1,3,8,7,5,6,4]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[8,1,7,3,6,5,2,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[1,6,4,7,3,8,5,2]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[1,2,3,4,5,6,8,10,7,9]=>[[1,2,3,4,5,6,7,8],[9,10]]=>16
[3,4,5,6,7,8,2,1,9]=>[[1,2,3,4,5,6,9],[7],[8]]=>13
[3,4,5,6,7,2,1,8,9]=>[[1,2,3,4,5,8,9],[6],[7]]=>11
[4,8,1,6,3,7,2,5]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[8,5,4,1,6,3,7,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[1,7,6,2,4,8,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[5,7,3,2,4,8,6,1]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[2,8,4,6,3,5,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[2,7,8,3,6,4,5,1]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[3,8,1,4,6,5,2,7]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[2,7,5,4,1,8,3,6]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[4,6,1,8,5,3,2,7]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[3,8,5,2,1,6,4,7]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[5,1,4,8,2,6,3,7]=>[[1,3,4,8],[2,6],[5,7]]=>10
[4,5,8,1,3,7,6,2]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[8,6,7,1,4,3,2,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[1,4,7,8,6,3,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[8,5,2,6,3,4,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[8,3,6,1,2,7,4,5]=>[[1,3,6,8],[2,5,7],[4]]=>6
[3,8,6,1,2,5,7,4]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[3,7,6,2,1,8,5,4]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[4,3,7,6,1,8,5,2]=>[[1,3,6],[2,4],[5,7],[8]]=>18
[8,6,3,2,7,1,5,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>14
[6,8,1,5,4,7,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[6,7,2,5,4,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>19
[7,6,2,4,8,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[4,6,8,7,3,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[4,7,5,2,6,3,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[3,5,6,2,8,1,4,7]=>[[1,2,3,5],[4,7,8],[6]]=>16
[8,4,2,5,9,10,1,3,6,7]=>[[1,4,5,6],[2,8,9,10],[3],[7]]=>18
[4,8,2,5,9,10,1,3,6,7]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>20
[6,1,8,2,4,3,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>7
[1,6,8,2,5,3,4,7]=>[[1,2,3,7,8],[4,5],[6]]=>11
[5,4,8,7,1,2,6,3]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[2,5,6,4,3,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[8,7,3,5,1,4,6,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[8,6,3,5,2,1,4,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[8,7,3,5,2,4,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[8,4,2,7,6,5,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[4,6,3,8,5,2,7,1]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[4,1,3,8,5,6,2,7]=>[[1,3,4,6,8],[2,5],[7]]=>9
[5,2,8,3,1,6,7,4]=>[[1,3,6,7],[2,4],[5,8]]=>12
[1,7,8,6,3,2,5,4]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[3,2,8,1,5,7,4,6]=>[[1,3,6],[2,5,8],[4,7]]=>9
[3,4,6,7,2,1,5,8]=>[[1,2,3,4,8],[5,7],[6]]=>13
[2,6,7,1,4,3,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>15
[3,2,7,4,8,5,6,1]=>[[1,3,5,7],[2,4,6],[8]]=>10
[5,8,2,7,4,6,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[4,5,2,8,3,7,1,6]=>[[1,2,4],[3,5,6],[7,8]]=>20
[7,8,5,1,6,4,3,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[8,7,5,1,6,4,3,2]=>[[1,5],[2,6],[3],[4],[7],[8]]=>20
[4,5,8,3,1,2,7,6]=>[[1,2,3],[4,6,7],[5,8]]=>18
[1,4,6,3,7,5,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>13
[1,3,8,7,4,5,6,2]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[7,3,1,8,4,5,6,2]=>[[1,4,6,7],[2,5],[3,8]]=>8
[3,2,8,7,4,5,6,1]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[6,2,4,3,7,5,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[3,8,2,1,5,7,6,4]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[1,3,2,8,7,4,6,5]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[7,5,2,8,3,1,6,4]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[4,6,3,7,8,1,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>15
[6,2,5,4,1,7,8,3]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[4,1,5,6,3,8,7,2]=>[[1,3,4,6],[2,5,7],[8]]=>13
[8,5,1,6,3,2,4,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[6,8,7,4,3,2,5,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>23
[8,1,5,4,6,7,3,2]=>[[1,3,5,6],[2],[4],[7],[8]]=>17
[2,8,5,1,3,7,6,4]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[5,6,4,1,8,2,7,3]=>[[1,2,5],[3,6,7],[4,8]]=>16
[6,4,5,1,3,8,7,2]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[6,1,3,5,4,8,2,7]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[1,3,8,7,2,5,6,4]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[2,5,4,1,8,3,7,6]=>[[1,2,5],[3,6,7],[4,8]]=>16
[5,1,4,8,3,7,6,2]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[8,4,1,2,7,6,5,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[4,8,3,2,7,6,5,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[1,8,7,3,4,6,5,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[8,7,5,3,1,2,4,6,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>10
[10,9,7,5,3,1,2,4,6,8]=>[[1,7,8,9,10],[2],[3],[4],[5],[6]]=>15
[5,3,1,2,4,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>7
[8,5,7,3,1,2,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[7,5,3,1,2,4,6,8,9]=>[[1,5,6,7,8,9],[2],[3],[4]]=>6
[3,1,2,8,7,5,4,6]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[1,4,3,8,5,7,2,6]=>[[1,2,4,6],[3,5],[7,8]]=>17
[6,7,1,5,2,8,4,3]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[1,5,3,7,6,4,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[4,8,1,3,6,2,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>15
[2,7,3,4,8,6,5,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[1,8,2,4,7,3,6,5]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[2,7,1,6,5,8,3,4]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[6,2,3,8,1,5,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>11
[2,5,7,4,8,3,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[8,5,6,2,4,7,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[8,1,5,7,3,6,4,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[3,8,6,2,7,5,4,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[4,8,1,6,2,5,3,7]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[1,8,4,2,5,7,3,6]=>[[1,2,5,6],[3,7,8],[4]]=>13
[5,8,3,1,2,4,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>7
[1,4,8,5,2,3,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>10
[1,4,8,5,2,3,7,6]=>[[1,2,3,7],[4,6,8],[5]]=>14
[1,5,8,7,2,4,3,6]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[1,5,4,2,8,3,7,6]=>[[1,2,5,7],[3,6],[4,8]]=>13
[1,2,8,7,3,5,4,6]=>[[1,2,3,6,8],[4],[5],[7]]=>13
[8,7,1,3,2,5,4,6]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[6,7,4,2,8,1,3,5]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[4,1,6,8,7,2,3,5]=>[[1,3,4,8],[2,5,7],[6]]=>10
[4,7,5,6,2,8,3,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[8,4,3,6,7,5,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[6,7,5,2,8,4,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[6,8,4,3,2,7,5,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[6,1,7,3,5,8,2,4]=>[[1,3,5,6],[2,4],[7,8]]=>14
[1,3,7,6,4,8,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[2,6,4,8,7,3,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[2,1,8,7,3,5,4,6]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[6,1,8,5,7,4,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>20
[8,5,1,4,7,6,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[8,1,3,7,2,4,6,5]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[5,3,1,6,4,8,2,7]=>[[1,4,6],[2,5,8],[3,7]]=>8
[2,5,6,7,1,4,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>15
[4,7,5,3,2,8,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[4,7,5,2,8,6,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[5,8,1,2,7,4,3,6]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[6,3,1,8,2,4,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>4
[4,6,3,7,8,1,5,2]=>[[1,2,4,5],[3,7],[6,8]]=>16
[6,3,1,8,4,5,2,7]=>[[1,4,6,8],[2,5],[3,7]]=>7
[7,6,2,4,8,3,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[6,5,8,1,4,3,7,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,1,4,2,7,5,6,3]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[1,7,2,8,3,9,4,10,5,6]=>[[1,2,4,6,8,10],[3,5,7,9]]=>14
[1,8,2,9,3,10,4,11,5,12,6,7]=>[[1,2,4,6,8,10,12],[3,5,7,9,11]]=>20
[8,6,3,5,2,1,7,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[6,8,3,1,2,5,4,7]=>[[1,2,6,8],[3,5],[4,7]]=>11
[5,8,6,4,7,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[2,5,1,8,7,3,4,6]=>[[1,2,4,8],[3,5,7],[6]]=>13
[6,8,4,3,5,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[1,4,7,3,6,8,2,5]=>[[1,2,3,6],[4,5],[7,8]]=>18
[3,7,1,4,6,8,2,5]=>[[1,2,5,6],[3,4,8],[7]]=>12
[2,4,7,3,6,8,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>18
[8,5,7,6,1,3,2,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[2,7,5,6,1,8,4,3]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[1,2,6,7,4,5,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>15
[6,5,2,8,7,1,4,3]=>[[1,4],[2,5],[3,7],[6,8]]=>14
[7,2,3,6,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>12
[2,6,1,3,8,5,4,7]=>[[1,2,5,8],[3,4,6],[7]]=>11
[6,4,1,8,3,2,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[5,8,1,4,2,7,3,6]=>[[1,2,6,8],[3,4],[5,7]]=>13
[2,3,1,6,8,7,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>16
[6,4,8,2,1,7,3,5]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[2,3,1,8,7,5,6,4]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[1,5,6,7,2,4,3,8]=>[[1,2,3,4,8],[5,6],[7]]=>14
[2,8,6,4,1,5,3,7]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[6,7,4,5,1,3,8,2]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[1,6,5,3,8,2,4,7]=>[[1,2,5,8],[3,7],[4],[6]]=>13
[5,6,1,2,4,8,3,7]=>[[1,2,5,6],[3,4,8],[7]]=>12
[8,7,4,5,1,3,2,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[8,5,1,2,7,4,3,6]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[4,1,8,7,2,5,3,6]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[3,2,4,6,1,8,7,5]=>[[1,3,4,6],[2,7],[5,8]]=>12
[3,6,7,4,1,2,5,8]=>[[1,2,3,8],[4,6,7],[5]]=>13
[1,4,7,5,8,2,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>16
[1,6,8,4,7,3,2,5]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[3,6,7,5,4,8,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[4,5,7,2,6,3,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[2,1,5,7,4,6,8,3]=>[[1,3,4,7],[2,5,6],[8]]=>12
[2,3,5,7,8,1,6,4]=>[[1,2,3,4,5],[6,7],[8]]=>17
[1,5,7,4,2,3,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>10
[2,4,7,5,3,6,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>14
[8,1,7,2,4,6,3,5]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[1,2,4,7,8,6,3,5]=>[[1,2,3,4,5],[6,8],[7]]=>16
[1,3,6,2,5,8,4,7]=>[[1,2,3,6],[4,5,8],[7]]=>16
[1,5,3,6,8,2,4,7]=>[[1,2,4,5],[3,7,8],[6]]=>15
[4,8,1,2,6,3,7,5]=>[[1,2,5,7],[3,4,8],[6]]=>11
[5,8,1,2,6,3,7,4]=>[[1,2,5,7],[3,4,8],[6]]=>11
[1,6,2,3,7,5,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>13
[4,1,2,6,5,7,8,3]=>[[1,3,4,6,7],[2,5],[8]]=>10
[1,8,4,2,7,3,6,5]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[1,7,5,2,3,8,6,4]=>[[1,2,5,6],[3,7],[4,8]]=>14
[8,1,4,7,3,5,2,6]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[8,4,3,6,1,7,2,5]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[2,6,1,8,3,7,4,5]=>[[1,2,4,8],[3,5,6],[7]]=>14
[8,4,2,1,3,7,5,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[2,5,1,7,6,8,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>15
[5,3,1,8,2,4,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>8
[1,2,6,3,7,5,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>14
[5,1,8,3,2,4,7,6]=>[[1,3,6,7],[2,4],[5,8]]=>12
[3,1,5,4,6,7,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>9
[2,8,5,7,3,1,4,6]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[2,6,8,7,3,1,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[7,4,2,1,3,8,5,6]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[7,2,1,3,8,5,4,6]=>[[1,4,5,8],[2,6],[3,7]]=>8
[2,1,7,3,8,6,4,5]=>[[1,3,5,8],[2,4,6],[7]]=>9
[1,7,5,3,2,4,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[1,4,2,7,6,5,8,3]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[3,4,1,6,5,7,8,2]=>[[1,2,4,6,7],[3,5],[8]]=>12
[2,8,7,3,4,1,5,6]=>[[1,2,5,7,8],[3],[4],[6]]=>10
[5,7,6,2,3,8,1,4]=>[[1,2,6],[3,5,8],[4],[7]]=>14
[4,5,7,6,2,8,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[3,1,8,7,5,2,6,4]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[4,5,6,8,7,2,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[2,8,3,1,5,4,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>12
[3,8,4,1,5,2,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>12
[1,8,6,2,4,3,7,5]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[4,8,3,1,6,2,7,5]=>[[1,2,7],[3,5,8],[4,6]]=>11
[2,8,3,1,6,4,7,5]=>[[1,2,5,7],[3,6,8],[4]]=>12
[6,2,7,1,5,8,4,3]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[1,7,8,9,6,5,4,3,2]=>[[1,2,3,4],[5],[6],[7],[8],[9]]=>30
[1,6,7,8,9,5,4,3,2]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>26
[1,5,6,7,8,9,4,3,2]=>[[1,2,3,4,5,6],[7],[8],[9]]=>21
[1,4,5,6,7,8,9,3,2]=>[[1,2,3,4,5,6,7],[8],[9]]=>15
[1,8,9,10,7,6,5,4,3,2]=>[[1,2,3,4],[5],[6],[7],[8],[9],[10]]=>39
[1,7,8,9,10,6,5,4,3,2]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>35
[1,6,7,8,9,10,5,4,3,2]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>30
[1,5,6,7,8,9,10,4,3,2]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>24
[1,4,5,6,7,8,9,10,3,2]=>[[1,2,3,4,5,6,7,8],[9],[10]]=>17
[4,8,5,1,3,2,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[5,4,3,1,2,7,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[4,1,6,5,2,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[7,1,5,2,3,6,4,8]=>[[1,3,5,6,8],[2,7],[4]]=>7
[4,1,6,3,7,2,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>8
[4,6,1,2,8,3,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>12
[4,1,3,6,7,2,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>9
[2,6,5,1,3,4,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>7
[2,6,7,4,3,1,5,8]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[2,6,3,1,7,4,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>8
[6,5,3,7,2,4,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[2,3,6,7,1,5,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>14
[2,7,5,8,1,3,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>17
[5,1,6,7,3,2,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>10
[5,6,1,4,7,2,3,8]=>[[1,2,5,8],[3,4,7],[6]]=>10
[1,2,5,7,8,6,3,4]=>[[1,2,3,4,5],[6,8],[7]]=>16
[1,2,6,7,4,5,3,8]=>[[1,2,3,4,8],[5,6],[7]]=>14
[1,2,7,8,4,6,3,5]=>[[1,2,3,4],[5,6],[7,8]]=>20
[8,6,5,2,1,7,4,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[4,3,8,6,7,1,5,2]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[8,3,2,4,7,1,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[7,3,2,8,6,1,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>14
[7,5,8,2,6,1,4,3]=>[[1,3],[2,5],[4,7],[6,8]]=>15
[7,4,1,2,6,5,8,3]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[5,2,7,4,6,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>13
[7,4,1,2,3,6,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>7
[5,4,8,6,3,2,1,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[8,4,6,7,3,1,5,2]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[4,1,3,6,8,5,2,7]=>[[1,3,4,5],[2,6,8],[7]]=>13
[6,3,5,7,1,2,8,4]=>[[1,3,4,7],[2,6,8],[5]]=>10
[1,8,5,3,2,4,6,7]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[1,6,7,3,4,2,5,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[1,6,8,3,4,2,5,7]=>[[1,2,3,7,8],[4,5],[6]]=>11
[1,8,7,5,3,4,2,6]=>[[1,2,6,8],[3],[4],[5],[7]]=>15
[1,7,8,5,3,4,2,6]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[1,7,6,8,4,2,3,5]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[1,7,8,6,4,3,2,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[9,8,7,6,5,2,1,3,4]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>21
[7,2,8,9,10,1,3,4,5,6]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>15
[5,1,7,8,4,2,3,6]=>[[1,3,4,8],[2,5,7],[6]]=>10
[3,8,2,1,6,7,5,4]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[2,8,3,1,7,5,6,4]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[2,10,4,5,6,7,9,1,3,8]=>[[1,2,4,5,6,7],[3,9,10],[8]]=>21
[2,7,4,1,5,8,3,6]=>[[1,2,5,6],[3,7,8],[4]]=>13
[2,1,6,4,7,8,3,5]=>[[1,3,5,6],[2,4,8],[7]]=>10
[5,7,8,3,4,2,1,6]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[4,7,5,3,8,2,6,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[2,6,4,7,8,5,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[7,8,4,5,6,1,3,2]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[2,5,1,8,4,6,7,3]=>[[1,2,4,7],[3,5,6],[8]]=>15
[6,5,8,3,4,2,1,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[8,2,7,6,3,4,5,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>15
[6,8,7,3,2,1,4,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[3,4,8,2,7,1,5,6]=>[[1,2,3,8],[4,5],[6,7]]=>16
[7,2,6,1,4,8,3,5]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[7,8,1,2,4,6,3,5]=>[[1,2,5,6],[3,4],[7,8]]=>16
[7,2,8,3,4,5,1,6]=>[[1,3,5,6,8],[2,4],[7]]=>8
[6,1,8,3,4,2,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>7
[7,5,1,2,4,3,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[7,6,8,1,4,2,3,5]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[2,4,3,7,8,5,6,1]=>[[1,2,4,5],[3,6,7],[8]]=>17
[2,1,7,6,3,4,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[6,1,5,3,8,2,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[2,3,6,8,5,1,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>18
[3,2,4,8,6,1,7,5]=>[[1,3,4,7],[2,5],[6,8]]=>14
[2,1,3,8,4,5,7,6]=>[[1,3,4,6,7],[2,5],[8]]=>10
[3,1,2,8,5,4,7,6]=>[[1,3,4,7],[2,5,8],[6]]=>11
[2,1,3,7,8,4,6,5]=>[[1,3,4,5],[2,6,7],[8]]=>14
[2,1,3,8,4,7,6,5]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[3,1,2,8,4,5,7,6]=>[[1,3,4,6,7],[2,5],[8]]=>10
[1,2,8,7,5,4,6,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>19
[4,6,7,2,3,8,1,5]=>[[1,2,3,6],[4,5,8],[7]]=>16
[3,2,6,5,7,8,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>14
[2,1,8,7,4,6,5,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[6,1,5,8,4,7,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[1,4,6,8,5,7,2,3]=>[[1,2,3,4],[5,6],[7,8]]=>20
[2,8,5,1,6,4,3,7]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[2,4,7,1,8,3,6,5]=>[[1,2,3,5],[4,6,7],[8]]=>18
[6,1,5,4,2,3,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[6,4,5,1,2,8,3,7]=>[[1,3,6,8],[2,5,7],[4]]=>6
[8,4,1,5,7,6,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[8,1,6,3,5,2,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[4,6,2,5,3,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[4,6,5,2,1,8,3,7]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[5,8,4,3,6,7,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[6,8,2,1,5,3,4,7]=>[[1,2,7,8],[3,5],[4,6]]=>10
[2,5,3,8,6,7,4,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[3,2,6,5,1,8,4,7]=>[[1,3,6],[2,4,8],[5,7]]=>12
[7,4,5,8,1,6,2,3]=>[[1,3,4],[2,6,8],[5,7]]=>12
[4,5,8,1,6,7,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[5,1,8,4,6,7,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>15
[6,5,3,8,1,7,2,4]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[8,3,7,1,6,2,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[8,1,4,6,5,7,2,3]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[8,1,7,5,6,4,2,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[8,6,1,5,3,7,2,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[7,2,3,6,8,1,5,4]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[2,6,3,7,8,1,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>15
[6,3,8,7,2,1,5,4]=>[[1,3],[2,4],[5,7],[6,8]]=>20
[7,2,5,6,3,4,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[7,2,8,6,3,1,5,4]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[7,2,4,5,8,6,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[6,3,8,4,7,2,5,1]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[7,2,3,6,8,5,4,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[7,2,8,5,4,1,3,6]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[7,4,5,2,8,1,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[7,5,4,2,8,1,6,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>14
[7,6,3,2,8,4,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[7,2,3,6,8,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[7,2,5,4,8,3,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[7,2,8,3,6,1,4,5]=>[[1,3,5,8],[2,4],[6,7]]=>12
[7,4,5,2,8,3,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[5,1,3,2,4,6,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>8
[6,5,3,4,1,8,2,7]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[6,4,5,3,8,1,2,7]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[7,2,4,6,3,8,5,1]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[2,8,3,7,6,1,5,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[5,4,2,6,8,7,3,1]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[3,7,2,5,8,6,4,1]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[4,6,5,3,8,1,7,2]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[2,4,8,7,6,1,5,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[3,2,8,7,4,6,5,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[8,2,6,5,1,4,3,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[4,8,5,2,7,6,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[2,8,6,5,7,1,3,4]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[3,8,4,7,2,1,6,5]=>[[1,2,4],[3,7],[5,8],[6]]=>18
[4,8,5,1,7,6,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[5,8,1,7,6,2,3,4]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[3,4,6,2,5,7,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,7,5,2,6,8,3,4]=>[[1,2,5,6],[3,7,8],[4]]=>13
[7,4,8,3,6,5,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>19
[1,5,4,3,8,7,2,6]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[1,5,8,2,6,4,3,7]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[10,9,8,6,4,2,1,3,5,7]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>21
[10,8,7,6,4,2,1,3,5,9]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>21
[10,9,8,7,6,4,2,1,3,5]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28
[10,8,6,5,4,2,1,3,7,9]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>21
[10,9,8,6,5,4,2,1,3,7]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28
[10,8,7,6,5,4,2,1,3,9]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28
[10,8,6,4,3,2,1,5,7,9]=>[[1,8,9,10],[2],[3],[4],[5],[6],[7]]=>21
[10,9,8,6,4,3,2,1,5,7]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28
[10,8,7,6,4,3,2,1,5,9]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28
[10,8,6,5,4,3,2,1,7,9]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28
[3,5,6,2,4,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>13
[3,5,6,7,2,4,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>15
[3,5,7,6,8,2,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[3,5,7,2,6,8,4,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[3,5,2,7,6,8,4,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[3,5,7,4,2,6,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[3,5,4,7,2,6,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[3,4,5,7,2,6,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>15
[3,4,5,7,2,8,6,1]=>[[1,2,3,4,6],[5,7],[8]]=>16
[3,5,4,7,8,2,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[3,5,4,7,2,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[3,2,5,7,4,8,6,1]=>[[1,3,4,6],[2,5,7],[8]]=>13
[3,5,7,4,2,8,6,1]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[3,5,7,8,4,2,6,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[2,3,5,7,8,4,6,1]=>[[1,2,3,4,5],[6,7],[8]]=>17
[3,5,2,7,8,6,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[3,5,7,8,2,6,4,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[3,5,7,8,6,2,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[4,2,5,6,7,3,8,1]=>[[1,3,4,5,7],[2,6],[8]]=>11
[8,6,1,4,3,5,2,7]=>[[1,4,6,8],[2],[3],[5],[7]]=>13
[6,1,8,4,3,5,2,7]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[5,1,6,4,8,2,3,7]=>[[1,3,5,8],[2,4,7],[6]]=>8
[8,1,4,2,5,3,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>6
[2,8,4,1,5,3,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>8
[8,4,1,3,5,2,6,7]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[4,1,8,3,5,2,6,7]=>[[1,3,5,7,8],[2,4],[6]]=>7
[8,3,1,2,5,4,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>5
[3,1,8,2,5,4,6,7]=>[[1,3,5,7,8],[2,4],[6]]=>7
[4,2,5,1,8,7,6,3]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[5,2,4,8,1,7,6,3]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[7,3,2,4,6,8,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[1,4,8,6,7,2,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[1,4,5,7,3,8,2,6]=>[[1,2,3,4,6],[5,8],[7]]=>15
[1,2,5,6,7,4,8,9,3]=>[[1,2,3,4,5,7,8],[6],[9]]=>13
[4,6,8,1,2,5,3,7]=>[[1,2,3,8],[4,5,6],[7]]=>15
[3,5,6,8,2,1,4,7]=>[[1,2,3,4],[5,7,8],[6]]=>17
[8,2,5,4,1,3,7,6]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[2,4,5,8,6,3,1,7]=>[[1,2,3,4,8],[5],[6],[7]]=>15
[5,4,8,2,3,1,7,6]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[4,7,5,8,2,3,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[4,6,7,5,1,8,3,2]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[1,7,3,6,5,8,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[8,3,4,2,6,7,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[7,5,3,8,6,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[7,3,1,8,2,6,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[4,6,7,5,2,8,3,1]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[5,8,7,2,4,3,1,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[5,1,2,8,6,7,3,4]=>[[1,3,4,6],[2,5,8],[7]]=>12
[2,5,7,8,6,1,4,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[7,2,6,8,4,5,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[5,1,7,6,8,2,3,4]=>[[1,3,5,8],[2,4,7],[6]]=>8
[1,7,6,2,4,3,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[7,1,6,2,4,5,3,8]=>[[1,3,5,6,8],[2],[4],[7]]=>10
[5,7,1,6,2,3,4,8]=>[[1,2,6,7,8],[3,4],[5]]=>8
[6,2,5,8,3,4,1,7]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[5,6,8,7,1,3,2,4]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[1,5,3,4,8,2,6,7]=>[[1,2,4,5,8],[3,7],[6]]=>11
[2,1,3,6,5,8,4,7]=>[[1,3,4,6],[2,5,8],[7]]=>12
[5,1,2,8,6,3,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>11
[6,1,5,7,8,4,2,3]=>[[1,3,4,5],[2,8],[6],[7]]=>15
[4,6,1,5,7,2,8,3]=>[[1,2,5,7],[3,4,8],[6]]=>11
[2,5,8,4,6,3,7,1]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[4,3,7,1,2,6,8,5]=>[[1,3,6,7],[2,5],[4,8]]=>9
[8,1,6,5,2,7,4,3]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[6,8,1,5,2,7,4,3]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[4,5,8,2,3,7,6,1]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[1,7,3,2,4,8,6,5]=>[[1,2,5,6],[3,7],[4,8]]=>14
[4,3,1,8,2,6,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>8
[4,8,1,3,2,5,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>14
[1,7,5,3,8,6,2,4]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[2,5,3,8,1,4,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>14
[4,2,5,8,1,3,7,6]=>[[1,3,4],[2,6,7],[5,8]]=>13
[8,1,2,4,3,5,7,6]=>[[1,3,4,6,7],[2,8],[5]]=>9
[2,4,3,8,1,5,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>14
[3,1,7,4,8,6,5,2]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[6,4,5,3,2,8,7,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[2,7,3,8,5,1,6,4]=>[[1,2,4,7],[3,5],[6,8]]=>16
[8,7,3,2,5,6,4,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[3,1,8,2,6,5,4,7]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[7,6,2,8,1,4,5,3]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[2,3,8,4,1,5,7,6]=>[[1,2,3,6,7],[4,8],[5]]=>12
[8,4,2,3,1,5,7,6]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[8,2,3,4,1,5,7,6]=>[[1,3,4,6,7],[2,8],[5]]=>9
[7,1,6,2,4,8,3,5]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[2,7,8,1,4,3,6,5]=>[[1,2,3],[4,5,7],[6,8]]=>20
[6,5,8,1,3,2,4,7]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[2,1,8,5,3,4,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>6
[8,4,1,3,2,5,6,7]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[8,6,1,2,3,5,4,7]=>[[1,4,5,6,8],[2],[3],[7]]=>9
[7,8,1,5,2,4,6,3]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[2,8,6,3,1,5,4,7]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[5,7,2,8,4,1,6,3]=>[[1,2,4],[3,5,7],[6,8]]=>19
[2,5,6,3,8,1,4,7]=>[[1,2,3,5],[4,7,8],[6]]=>16
[1,3,4,5,6,7,2,8,9]=>[[1,2,3,4,5,6,8,9],[7]]=>6
[7,4,5,6,8,1,3,2]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[7,6,8,1,4,5,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[7,5,1,8,4,6,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[1,7,8,5,6,4,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[2,8,1,7,4,5,3,6]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[7,3,6,2,5,4,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[1,6,2,3,5,8,4,7]=>[[1,2,4,5,6],[3,8],[7]]=>13
[1,8,5,6,4,3,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>18
[2,6,8,4,5,1,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>17
[4,6,5,7,8,1,3,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[2,5,8,6,4,7,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[5,3,2,1,7,8,4,6]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[8,4,1,3,6,7,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[1,6,5,3,8,4,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[7,6,2,3,5,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[6,2,5,3,4,8,1,7]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[6,2,5,3,4,8,7,1]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[2,6,5,3,4,8,1,7]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[5,3,4,8,1,7,2,6]=>[[1,3,4],[2,6,8],[5,7]]=>12
[5,1,3,4,8,7,2,6]=>[[1,3,4,5],[2,6],[7,8]]=>16
[1,5,3,4,8,7,2,6]=>[[1,2,4,5],[3,6],[7,8]]=>18
[5,1,3,8,4,7,6,2]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[5,3,8,1,4,7,6,2]=>[[1,3,6],[2,5],[4,7],[8]]=>15
[4,3,5,8,1,7,6,2]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[3,6,5,4,8,1,2,7]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[3,6,5,4,8,2,7,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[3,5,2,4,8,7,6,1]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[2,5,3,6,8,4,1,7]=>[[1,2,4,5],[3,6,8],[7]]=>16
[4,6,2,5,1,7,8,3]=>[[1,2,6,7],[3,4],[5,8]]=>14
[2,3,1,7,4,8,6,5]=>[[1,2,4,6],[3,5,7],[8]]=>16
[1,8,3,6,4,2,7,5]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[2,1,7,4,8,5,3,6]=>[[1,3,5,8],[2,4,6],[7]]=>9
[8,1,7,3,2,5,4,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[7,8,5,2,6,4,3,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[8,1,2,5,7,4,6,3]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[8,2,5,3,6,1,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[6,8,7,4,1,5,2,3]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[8,6,4,7,5,1,3,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[6,1,2,4,7,8,3,5]=>[[1,3,4,5,6],[2,8],[7]]=>11
[2,4,6,5,7,1,8,3]=>[[1,2,3,5,7],[4,8],[6]]=>13
[3,2,8,9,10,1,4,5,6,7]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>15
[3,5,2,1,7,8,6,4]=>[[1,2,5,6],[3,7],[4,8]]=>14
[4,2,7,8,6,5,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[1,2,7,8,6,4,5,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[4,8,1,2,6,5,3,7]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[7,1,6,3,2,4,8,5]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[6,4,8,1,2,3,7,5]=>[[1,3,6,7],[2,5],[4,8]]=>9
[7,4,1,3,6,8,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[7,2,5,1,6,4,3,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[5,2,7,1,4,6,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>8
[6,3,8,5,7,1,4,2]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[2,4,3,8,5,7,1,6]=>[[1,2,4,6],[3,5],[7,8]]=>17
[2,8,3,1,4,6,5,7]=>[[1,2,5,6,8],[3,7],[4]]=>9
[4,5,7,6,1,3,8,2]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[3,7,1,6,5,8,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[7,4,3,6,8,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[3,8,5,4,7,6,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[1,4,6,8,7,3,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[4,6,5,1,3,8,7,2]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[5,4,6,2,1,8,7,3]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[3,2,8,5,1,4,6,7]=>[[1,3,7,8],[2,4],[5,6]]=>10
[3,5,4,1,2,8,6,7]=>[[1,2,6,8],[3,5,7],[4]]=>8
[5,3,8,1,4,2,6,7]=>[[1,3,7,8],[2,5],[4,6]]=>7
[5,3,8,1,4,2,7,6]=>[[1,3,7],[2,5,8],[4,6]]=>8
[1,4,7,5,8,6,2,3]=>[[1,2,3,5],[4,6],[7,8]]=>19
[8,5,7,6,3,4,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>17
[7,5,2,6,1,4,8,3]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[2,4,5,1,8,3,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>18
[7,2,8,5,3,4,1,6]=>[[1,3,6,8],[2,4],[5],[7]]=>12
[6,4,5,3,1,7,8,2]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[7,3,5,6,4,1,8,2]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[2,3,4,7,8,9,1,5,6]=>[[1,2,3,4,5,6],[7,8,9]]=>18
[2,3,6,7,8,9,1,4,5]=>[[1,2,3,4,5,6],[7,8,9]]=>18
[2,5,6,7,8,9,1,3,4]=>[[1,2,3,4,5,6],[7,8,9]]=>18
[2,3,4,5,1,9,6,7,8]=>[[1,2,3,4,6,8,9],[5,7]]=>9
[2,3,4,5,8,9,10,1,6,7]=>[[1,2,3,4,5,6,7],[8,9,10]]=>21
[2,3,4,7,8,9,10,1,5,6]=>[[1,2,3,4,5,6,7],[8,9,10]]=>21
[2,3,6,7,8,9,10,1,4,5]=>[[1,2,3,4,5,6,7],[8,9,10]]=>21
[2,5,6,7,8,9,10,1,3,4]=>[[1,2,3,4,5,6,7],[8,9,10]]=>21
[2,5,6,3,4,1,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>15
[4,6,2,1,5,8,3,7]=>[[1,2,6],[3,5,8],[4,7]]=>12
[4,6,7,2,3,8,5,1]=>[[1,2,3,6],[4,5,7],[8]]=>17
[4,5,3,7,8,1,2,6]=>[[1,2,4,5],[3,7,8],[6]]=>15
[2,3,5,8,1,6,4,7]=>[[1,2,3,4,8],[5,6],[7]]=>14
[1,7,4,5,8,3,6,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[2,8,5,6,3,1,4,7]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[4,8,2,6,1,5,7,3]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[2,3,7,8,1,5,4,6]=>[[1,2,3,4],[5,6,8],[7]]=>18
[5,2,6,7,8,3,1,4]=>[[1,3,4,5],[2,6,8],[7]]=>13
[5,6,2,7,8,3,1,4]=>[[1,2,4,5],[3,6,8],[7]]=>16
[2,3,7,5,8,4,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[3,7,8,5,1,4,6,2]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[2,5,6,7,1,8,4,3]=>[[1,2,3,4,6],[5,7],[8]]=>16
[6,4,7,8,1,2,5,3]=>[[1,3,4],[2,6,7],[5,8]]=>13
[7,5,8,1,2,3,6,4]=>[[1,3,6,7],[2,5],[4,8]]=>9
[1,2,8,7,4,6,5,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>20
[5,1,4,8,7,3,6,2]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[4,3,1,8,7,5,6,2]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[4,3,2,7,6,1,5,8]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[7,2,6,5,3,1,4,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>13
[1,3,7,6,2,4,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>14
[1,3,8,2,7,4,6,5]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[8,2,7,1,6,4,3,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[4,3,2,8,1,7,5,6]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[7,5,4,1,6,3,8,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[1,6,5,3,2,4,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[1,7,3,5,2,4,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>13
[4,3,7,2,5,1,6,8]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[5,1,4,3,2,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[7,2,1,3,5,4,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>5
[8,3,7,5,4,2,6,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>20
[1,6,8,7,5,2,3,4]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[1,3,6,2,5,4,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>15
[1,2,7,3,8,4,9,5,10,6]=>[[1,2,3,5,7,9],[4,6,8,10]]=>18
[4,5,7,6,3,1,8,2]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[4,6,7,5,1,3,8,2]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[3,6,5,1,4,7,8,2]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[4,6,7,3,1,5,8,2]=>[[1,2,3,7],[4,6],[5,8]]=>15
[5,4,1,8,7,3,6,2]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[6,2,4,7,5,3,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[6,2,5,1,8,7,3,4]=>[[1,3,5],[2,6,8],[4,7]]=>11
[3,2,6,1,5,8,7,4]=>[[1,3,6],[2,5,7],[4,8]]=>10
[4,2,3,6,7,5,1,8]=>[[1,3,4,5,8],[2,6],[7]]=>10
[6,2,3,5,7,4,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>12
[1,6,3,8,4,7,2,5]=>[[1,2,4,6],[3,5],[7,8]]=>17
[8,1,5,2,4,7,3,6]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[7,5,8,1,4,2,3,6]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[4,1,2,3,6,5,8,7,9]=>[[1,3,4,5,7,9],[2,6,8]]=>8
[4,1,6,2,3,5,8,7,9]=>[[1,3,5,6,7,9],[2,4,8]]=>5
[1,3,4,8,5,6,2,7]=>[[1,2,3,4,6,8],[5],[7]]=>10
[3,2,7,1,8,6,5,4]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[6,2,4,1,5,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>8
[5,8,4,1,3,6,7,2]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[6,7,2,3,8,1,4,5]=>[[1,2,5,8],[3,4,7],[6]]=>10
[5,2,8,1,7,4,6,3]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[2,5,4,7,3,1,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[4,6,3,1,2,5,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>7
[7,4,6,8,3,1,2,5]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[8,5,4,7,3,1,2,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[7,3,2,1,5,4,8,6]=>[[1,5,7],[2,6,8],[3],[4]]=>8
[2,5,6,4,8,1,3,7]=>[[1,2,3,5],[4,7,8],[6]]=>16
[5,4,1,6,2,3,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[1,3,6,5,2,4,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>10
[5,4,1,2,7,6,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>8
[5,8,7,3,1,2,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[2,7,8,1,4,5,3,6]=>[[1,2,3,8],[4,5,6],[7]]=>15
[4,1,2,8,7,3,6,5]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[6,1,2,4,3,8,7,5]=>[[1,3,4,6],[2,7],[5,8]]=>12
[3,7,8,1,2,4,6,5]=>[[1,2,3,7],[4,5,6],[8]]=>16
[7,3,4,1,2,6,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>7
[8,4,3,1,2,6,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[3,8,2,7,4,5,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[8,6,2,3,5,4,1,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[8,2,6,1,3,5,4,7]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[8,4,3,7,2,5,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[8,3,1,7,4,5,2,6]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[8,2,4,5,1,7,3,6]=>[[1,3,4,6],[2,7,8],[5]]=>11
[6,8,2,4,5,1,7,3]=>[[1,2,5,7],[3,4],[6,8]]=>15
[4,3,8,1,7,5,6,2]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[8,4,3,7,1,5,6,2]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[8,3,4,7,2,6,5,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[8,1,3,7,6,4,5,2]=>[[1,3,4,7],[2],[5],[6],[8]]=>17
[8,3,7,1,4,5,6,2]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[8,7,3,6,1,2,5,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[8,3,7,6,2,4,5,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[8,7,2,3,6,1,5,4]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[8,2,7,1,3,4,6,5]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[5,1,8,4,2,3,7,6]=>[[1,3,6,7],[2,4],[5,8]]=>12
[8,2,4,7,3,1,6,5]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[8,2,7,6,3,1,4,5]=>[[1,3,7,8],[2],[4],[5],[6]]=>13
[6,8,1,4,7,3,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[8,5,7,2,6,3,1,4]=>[[1,3,8],[2,5],[4],[6],[7]]=>16
[5,8,2,7,3,1,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[8,1,2,6,7,5,4,3]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[8,4,1,7,5,6,2,3]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[8,2,4,7,6,5,1,3]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[8,2,7,6,4,5,1,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[8,4,7,2,3,6,5,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[8,2,4,7,3,6,5,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[8,1,7,6,4,5,2,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[8,1,2,7,6,4,5,3]=>[[1,3,4,7],[2],[5],[6],[8]]=>17
[8,1,4,7,3,6,5,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[2,3,1,9,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8],[9]]=>31
[3,4,2,1,9,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8],[9]]=>27
[4,5,3,2,1,9,8,7,6]=>[[1,2,6],[3,7],[4,8],[5,9]]=>21
[2,8,1,5,3,7,6,4]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[1,8,2,4,7,5,6,3]=>[[1,2,4,5,7],[3],[6],[8]]=>14
[2,3,8,4,7,1,6,5]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[1,8,2,3,5,6,4,7]=>[[1,2,4,5,6,8],[3],[7]]=>8
[1,4,7,6,2,3,5,8]=>[[1,2,3,7,8],[4,6],[5]]=>10
[1,7,6,2,3,8,4,5]=>[[1,2,5,6,8],[3,7],[4]]=>9
[1,8,2,3,7,6,4,5]=>[[1,2,4,5,8],[3],[6],[7]]=>13
[1,7,3,8,6,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[5,8,2,3,7,4,1,6]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[4,2,8,3,7,6,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[1,3,5,6,4,8,2,7]=>[[1,2,3,4,6],[5,8],[7]]=>15
[4,6,1,8,2,7,5,3]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[3,4,8,5,6,1,2,7]=>[[1,2,3,5,8],[4,7],[6]]=>12
[1,7,6,2,5,4,8,3]=>[[1,2,5,7],[3],[4],[6],[8]]=>17
[5,6,1,7,4,3,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[3,7,2,1,5,6,8,4]=>[[1,2,6,7],[3,5],[4,8]]=>12
[3,1,5,6,4,2,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>8
[8,1,6,4,3,5,2,7]=>[[1,3,6,8],[2],[4],[5],[7]]=>14
[2,1,6,5,3,8,7,4]=>[[1,3,6],[2,4,7],[5,8]]=>13
[3,7,5,6,4,2,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[6,1,4,3,7,5,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[3,8,6,4,5,2,7,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>17
[4,5,8,6,2,3,7,1]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[4,6,8,5,3,7,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[4,5,7,2,8,6,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[3,7,4,5,1,6,8,2]=>[[1,2,4,6,7],[3,8],[5]]=>11
[4,6,8,1,2,5,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>16
[4,6,8,5,1,3,7,2]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[3,7,4,5,2,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[3,7,8,4,6,1,5,2]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[4,5,7,2,1,6,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>15
[4,5,1,6,8,3,7,2]=>[[1,2,4,5],[3,6,7],[8]]=>17
[8,3,5,4,6,1,2,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[3,4,5,6,1,7,2,9,8]=>[[1,2,3,4,6,8],[5,7,9]]=>15
[1,7,4,5,2,6,8,3]=>[[1,2,4,6,7],[3,8],[5]]=>11
[3,4,5,6,7,1,8,2,10,9]=>[[1,2,3,4,5,7,9],[6,8,10]]=>18
[1,4,2,6,5,3,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>14
[3,1,5,8,4,6,2,7]=>[[1,3,4,8],[2,5,6],[7]]=>11
[8,2,6,3,4,1,5,7]=>[[1,3,5,7,8],[2],[4],[6]]=>9
[4,6,5,8,2,1,3,7]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[1,4,8,3,5,6,2,7]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,8,7,4,2,3,6,5]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[4,3,1,8,5,7,2,6]=>[[1,4,6],[2,5,8],[3,7]]=>8
[7,3,2,4,8,1,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[3,7,2,4,5,8,1,6]=>[[1,2,5,6],[3,4,8],[7]]=>12
[3,2,7,4,6,1,8,5]=>[[1,3,5,7],[2,4],[6,8]]=>13
[8,3,2,4,6,1,7,5]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[8,3,2,4,5,7,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[7,4,6,2,1,3,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[3,6,7,2,4,1,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>15
[5,4,8,7,6,2,3,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[5,2,3,8,7,1,6,4]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[7,5,2,4,1,3,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[7,2,6,8,5,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[8,2,3,4,1,6,7,5]=>[[1,3,4,6,7],[2,8],[5]]=>9
[7,4,3,8,1,6,5,2]=>[[1,4],[2,6],[3,7],[5,8]]=>13
[6,5,1,4,3,8,7,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[4,7,6,2,5,8,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[6,3,2,4,5,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[2,6,4,5,8,3,1,7]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[3,7,4,8,6,2,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[7,3,5,2,8,1,4,6]=>[[1,3,5],[2,7,8],[4],[6]]=>13
[1,5,8,7,4,2,3,6]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[1,7,2,4,5,8,6,3]=>[[1,2,4,5,6],[3,7],[8]]=>14
[1,4,6,8,7,2,5,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[1,6,2,7,5,3,4,8]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,3,7,2,6,4,5,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[1,7,3,2,8,5,6,4]=>[[1,2,5,7],[3,6],[4,8]]=>13
[1,6,5,2,4,8,3,7]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[1,7,3,8,4,2,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,6,2,4,7,5,8,3]=>[[1,2,4,5,7],[3,6],[8]]=>13
[1,6,2,7,4,3,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>14
[1,5,8,2,3,6,4,7]=>[[1,2,3,6,8],[4,5],[7]]=>12
[6,8,9,1,2,3,4,5,7]=>[[1,2,3,7,8,9],[4,5,6]]=>9
[5,8,9,1,2,3,4,6,7]=>[[1,2,3,7,8,9],[4,5,6]]=>9
[2,5,3,6,7,1,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>11
[6,4,1,5,7,2,3,8]=>[[1,4,5,8],[2,6,7],[3]]=>7
[6,4,1,5,7,3,8,2]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[1,2,7,3,8,5,6,4]=>[[1,2,3,5,7],[4,6],[8]]=>14
[7,4,1,6,3,8,2,5]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[1,5,7,4,3,8,6,2]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[2,7,3,1,4,5,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>10
[2,3,4,5,1,7,6,9,8]=>[[1,2,3,4,6,8],[5,7,9]]=>15
[2,3,4,1,6,5,8,7,9]=>[[1,2,3,5,7,9],[4,6,8]]=>12
[2,3,4,5,6,7,1,9,8,10]=>[[1,2,3,4,5,6,8,10],[7,9]]=>13
[2,3,4,5,1,8,6,9,7]=>[[1,2,3,4,6,8],[5,7,9]]=>15
[2,3,4,1,7,5,8,6,9]=>[[1,2,3,5,7,9],[4,6,8]]=>12
[2,3,4,5,1,7,6,9,8,10]=>[[1,2,3,4,6,8,10],[5,7,9]]=>15
[6,5,8,3,2,7,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>17
[8,4,3,1,7,6,5,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>16
[1,2,6,7,5,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>13
[3,4,5,6,7,9,1,8,2]=>[[1,2,3,4,5,6],[7,8],[9]]=>20
[3,4,5,6,8,2,7,1]=>[[1,2,3,4,5],[6,7],[8]]=>17
[3,4,5,6,7,8,10,1,9,2]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>23
[3,4,5,6,7,9,2,8,1]=>[[1,2,3,4,5,6],[7,8],[9]]=>20
[3,4,5,6,7,1,9,8,2]=>[[1,2,3,4,5,7],[6,8],[9]]=>19
[7,2,1,4,5,6,3,8]=>[[1,4,5,6,8],[2,7],[3]]=>6
[1,5,6,7,3,4,2,8]=>[[1,2,3,4,8],[5,6],[7]]=>14
[4,6,8,5,2,1,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[1,6,7,8,2,4,5,3]=>[[1,2,3,4],[5,6,7],[8]]=>19
[5,7,8,3,2,4,6,1]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[5,7,8,2,3,1,6,4]=>[[1,2,3],[4,5,7],[6,8]]=>20
[4,5,2,7,8,6,1,3]=>[[1,2,4,5],[3,6],[7,8]]=>18
[1,3,5,8,7,2,6,4]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[6,4,1,8,5,7,3,2]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[4,1,3,8,7,5,2,6]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[8,5,1,6,7,2,4,3]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[3,6,7,2,1,5,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>15
[2,5,6,1,3,8,7,4]=>[[1,2,3,6],[4,5,7],[8]]=>17
[7,2,5,6,1,3,8,4]=>[[1,3,4,7],[2,6,8],[5]]=>10
[6,4,1,2,5,8,3,7]=>[[1,4,5,6],[2,7,8],[3]]=>9
[4,7,3,5,2,6,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[2,3,5,4,7,1,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>13
[6,8,4,1,5,7,3,2]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[8,1,6,2,3,7,5,4]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[2,8,3,6,4,1,7,5]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[6,5,3,4,8,2,1,7]=>[[1,4,5],[2,8],[3],[6],[7]]=>16
[5,4,8,7,3,6,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>23
[3,4,5,1,2,6,7,8,9]=>[[1,2,3,6,7,8,9],[4,5]]=>6
[5,2,7,6,8,3,4,1]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[8,4,5,2,7,3,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[6,3,7,4,5,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[7,3,4,2,8,5,6,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[4,3,6,5,8,2,7,1]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[8,2,7,4,5,3,6,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[7,2,8,4,5,3,6,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[6,3,8,2,7,4,5,1]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[3,2,8,4,7,5,6,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[8,3,6,2,7,4,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[1,7,8,4,3,6,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>21
[1,7,8,3,6,5,4,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[5,8,1,7,2,4,3,6]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[2,5,7,3,8,1,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>16
[8,3,5,2,1,6,7,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[2,6,4,7,1,8,5,3]=>[[1,2,4,6],[3,7],[5,8]]=>15
[1,6,5,7,3,8,2,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[1,8,5,3,7,6,2,4]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[6,4,2,3,8,7,5,1]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[6,1,4,2,7,8,3,5]=>[[1,3,5,6],[2,7,8],[4]]=>10
[6,5,1,3,7,8,4,2]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[6,7,4,2,3,8,5,1]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[5,8,7,3,2,4,6,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[5,1,3,2,6,8,4,7]=>[[1,3,5,6],[2,7,8],[4]]=>10
[5,7,1,4,6,8,2,3]=>[[1,2,5,6],[3,4],[7,8]]=>16
[2,4,1,7,5,6,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>11
[1,4,3,7,6,2,8,5]=>[[1,2,4,7],[3,5],[6,8]]=>16
[1,6,2,5,7,3,8,4]=>[[1,2,4,5,7],[3,8],[6]]=>12
[1,4,3,8,2,5,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>14
[1,5,7,3,6,4,2,8]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[1,6,7,2,4,8,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>16
[3,7,2,8,4,1,5,6]=>[[1,2,4,8],[3,5,7],[6]]=>13
[2,4,1,5,3,6,8,7,9]=>[[1,2,4,6,7,9],[3,5,8]]=>10
[5,3,4,1,7,8,6,2]=>[[1,3,5,6],[2,7],[4,8]]=>11
[4,7,6,5,8,2,3,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[1,2,6,8,4,3,5,7]=>[[1,2,3,4,8],[5,7],[6]]=>13
[7,2,6,3,1,8,4,5]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[5,8,4,1,3,7,2,6]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[3,4,2,1,6,8,5,7]=>[[1,2,5,6],[3,7,8],[4]]=>13
[8,1,3,5,6,4,7,2]=>[[1,3,4,5,7],[2],[6],[8]]=>13
[3,4,7,1,5,6,2,8]=>[[1,2,3,6,8],[4,5],[7]]=>12
[4,8,2,6,5,3,7,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[4,8,7,2,5,6,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[5,8,6,4,7,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>23
[8,5,2,3,1,6,7,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[2,8,6,3,5,1,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[8,3,2,6,4,1,7,5]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[8,4,1,5,3,6,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[8,3,5,1,4,6,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[8,5,1,3,4,6,7,2]=>[[1,4,5,6,7],[2],[3],[8]]=>10
[3,8,6,2,5,4,7,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[3,8,4,6,5,2,7,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>18
[8,1,7,4,2,5,3,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[8,3,2,5,1,4,7,6]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[8,4,5,1,2,6,7,3]=>[[1,3,6,7],[2,5,8],[4]]=>7
[8,1,5,3,2,6,7,4]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[8,1,5,2,4,6,7,3]=>[[1,3,5,6,7],[2],[4],[8]]=>11
[5,2,6,4,1,3,8,7]=>[[1,3,7],[2,4,8],[5,6]]=>11
[8,6,4,7,1,3,5,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[2,1,8,5,4,3,7,6]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[6,4,8,5,3,2,7,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[8,5,4,6,2,7,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[6,8,5,4,7,2,3,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>22
[2,5,7,3,4,8,1,6]=>[[1,2,3,6],[4,5,8],[7]]=>16
[5,2,4,7,8,1,3,6]=>[[1,3,4,5],[2,7,8],[6]]=>12
[8,5,9,3,6,1,2,4,7]=>[[1,3,8,9],[2,5],[4,7],[6]]=>12
[8,9,4,5,10,1,2,3,6,7]=>[[1,2,5,9,10],[3,4,8],[6,7]]=>15
[8,4,3,9,10,1,2,5,6,7]=>[[1,4,5,9,10],[2,7,8],[3],[6]]=>12
[9,10,6,7,4,5,1,2,3,8]=>[[1,2,9,10],[3,4],[5,6],[7,8]]=>24
[9,6,4,10,3,7,1,2,5,8]=>[[1,4,9,10],[2,6],[3,8],[5],[7]]=>16
[10,8,7,6,5,4,3,1,2,9]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28
[4,8,5,6,1,2,7,3]=>[[1,2,4,7],[3,6,8],[5]]=>13
[2,5,6,8,7,1,4,3]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[4,6,8,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>20
[8,2,3,6,4,1,7,5]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[2,3,7,5,8,6,1,4]=>[[1,2,3,5],[4,6],[7,8]]=>19
[3,8,5,1,2,4,7,6]=>[[1,2,6,7],[3,5,8],[4]]=>9
[1,3,6,4,8,2,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>17
[1,2,3,4,6,5,7,8,9,10]=>[[1,2,3,4,5,7,8,9,10],[6]]=>5
[1,2,3,4,5,6,8,7,9,10]=>[[1,2,3,4,5,6,7,9,10],[8]]=>7
[1,7,6,2,8,5,3,4]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[1,5,8,6,4,7,2,3]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[5,6,2,8,1,7,3,4]=>[[1,2,4],[3,6,8],[5,7]]=>16
[6,8,4,5,1,3,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[5,2,3,8,1,4,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>7
[1,6,8,3,2,4,5,7]=>[[1,2,3,7,8],[4,6],[5]]=>10
[9,6,5,4,3,2,1,7,8]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>21
[10,7,6,5,4,3,2,1,8,9]=>[[1,9,10],[2],[3],[4],[5],[6],[7],[8]]=>28
[9,8,5,4,3,2,1,6,7]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>21
[8,6,5,2,4,3,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>18
[6,2,5,3,7,4,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[8,5,4,2,6,3,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[8,5,3,2,6,4,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[7,4,6,5,8,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[7,3,6,5,8,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[7,3,6,4,8,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[7,3,5,4,8,2,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[7,3,6,8,4,5,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[1,6,5,7,4,2,8,3]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[1,2,7,4,8,5,6,3]=>[[1,2,3,5,7],[4,6],[8]]=>14
[2,6,7,4,8,5,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>19
[2,5,8,6,4,3,7,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>19
[6,4,2,5,7,1,8,3]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[8,1,4,7,3,5,6,2]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[8,3,7,2,4,5,6,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[8,1,4,5,7,3,6,2]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[5,6,3,4,2,8,7,1]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[2,5,7,4,6,8,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>18
[2,5,6,4,1,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>14
[4,6,1,3,5,7,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>10
[3,2,7,5,8,1,6,4]=>[[1,3,5],[2,4,7],[6,8]]=>14
[4,3,6,8,5,2,1,7]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[4,5,3,2,1,8,6,7]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[3,6,5,8,1,7,4,2]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[4,1,6,8,5,2,3,7]=>[[1,3,4,8],[2,5,7],[6]]=>10
[4,5,2,8,6,7,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>17
[4,5,2,8,6,7,3,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[3,5,8,6,2,4,7,1]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[2,5,1,6,4,8,3,7]=>[[1,2,4,6],[3,5,8],[7]]=>15
[3,2,4,5,8,6,1,7]=>[[1,3,4,5,8],[2,6],[7]]=>10
[4,5,2,1,3,8,6,7]=>[[1,2,6,8],[3,5,7],[4]]=>8
[4,2,3,6,8,5,1,7]=>[[1,3,4,5],[2,6,8],[7]]=>13
[4,5,1,3,2,8,6,7]=>[[1,2,6,8],[3,4,7],[5]]=>9
[3,4,5,8,6,1,7,2]=>[[1,2,3,4,7],[5,8],[6]]=>14
[3,4,5,8,6,1,2,7]=>[[1,2,3,4,8],[5,7],[6]]=>13
[6,4,1,3,7,8,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[6,3,1,2,5,4,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>8
[8,2,6,4,1,3,7,5]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[1,5,8,2,4,3,7,6]=>[[1,2,3,7],[4,5],[6,8]]=>17
[4,3,7,8,2,6,5,1]=>[[1,3,4],[2,6],[5,7],[8]]=>17
[3,8,5,1,2,6,7,4]=>[[1,2,6,7],[3,5,8],[4]]=>9
[2,4,7,8,3,6,5,1]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[5,4,7,8,3,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[6,8,1,3,2,5,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>14
[1,4,8,5,7,2,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>16
[1,8,7,3,2,4,5,6]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[8,6,2,7,3,4,1,5]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[8,6,2,7,3,4,5,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[5,6,3,2,8,7,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[5,1,6,7,8,3,2,4]=>[[1,3,4,5],[2,6,8],[7]]=>13
[1,5,6,3,7,2,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>12
[1,5,6,7,4,2,3,8]=>[[1,2,3,4,8],[5,7],[6]]=>13
[5,1,6,7,3,4,2,8]=>[[1,3,4,8],[2,5,6],[7]]=>11
[8,6,1,7,3,4,5,2]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[6,8,5,1,7,4,2,3]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[8,4,2,3,5,7,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[4,8,5,2,3,1,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[5,4,8,3,1,2,6,7]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[8,4,7,3,2,5,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[6,8,5,1,7,3,4,2]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[6,2,7,3,8,1,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>8
[8,4,2,6,7,1,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[1,7,8,3,6,5,2,4]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[4,6,7,5,1,8,2,3]=>[[1,2,3,6],[4,7,8],[5]]=>15
[3,5,2,6,8,7,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[7,3,6,8,4,1,2,5]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[6,4,2,3,7,5,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[6,3,7,5,1,2,8,4]=>[[1,3,7],[2,4,8],[5,6]]=>11
[7,2,5,4,8,6,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[6,2,3,8,7,4,5,1]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[7,1,2,8,4,6,5,3]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[3,5,8,1,2,7,6,4]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[1,4,3,6,8,5,2,7]=>[[1,2,4,5],[3,6,8],[7]]=>16
[7,6,2,8,5,3,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[6,8,3,5,4,7,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[8,2,7,6,4,1,3,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[8,3,7,5,1,6,2,4]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[8,5,7,1,4,2,6,3]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[4,7,1,5,6,3,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[4,5,7,1,6,3,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[4,6,5,7,2,3,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[3,6,7,2,5,8,4,1]=>[[1,2,3,6],[4,5],[7],[8]]=>19
[5,3,6,7,4,8,1,2]=>[[1,3,4,6],[2,5],[7,8]]=>15
[4,2,7,8,3,6,5,1]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[4,2,7,8,5,6,1,3]=>[[1,3,4],[2,5,6],[7,8]]=>17
[5,4,3,7,8,1,6,2]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[3,5,7,8,4,2,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[4,6,7,3,2,8,1,5]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[4,6,5,3,7,8,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[5,6,2,4,7,8,3,1]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[5,6,3,2,8,4,7,1]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[5,6,2,8,3,4,7,1]=>[[1,2,4,7],[3,5,6],[8]]=>15
[3,7,4,8,1,6,5,2]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[5,2,4,8,6,7,3,1]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[5,2,6,4,8,7,3,1]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[2,4,7,8,6,5,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[3,4,5,6,8,9,1,7,2]=>[[1,2,3,4,5,6],[7,8],[9]]=>20
[3,4,6,7,8,9,1,5,2]=>[[1,2,3,4,5,6],[7,8],[9]]=>20
[3,5,6,7,8,9,1,4,2]=>[[1,2,3,4,5,6],[7,8],[9]]=>20
[4,5,6,7,8,9,1,3,2]=>[[1,2,3,4,5,6],[7,8],[9]]=>20
[3,4,5,6,7,9,10,1,8,2]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>23
[3,4,5,7,8,9,10,1,6,2]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>23
[5,2,6,7,8,1,4,3]=>[[1,3,4,5],[2,7],[6,8]]=>13
[3,4,6,7,8,9,10,1,5,2]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>23
[4,5,6,7,8,9,10,1,3,2]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>23
[4,8,2,7,5,3,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[1,2,4,6,5,8,3,7]=>[[1,2,3,4,6],[5,8],[7]]=>15
[5,4,2,3,1,7,8,6]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[3,5,8,1,7,4,2,6]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[5,8,6,1,7,2,3,4]=>[[1,2,5,8],[3,6,7],[4]]=>11
[5,1,4,3,8,2,6,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[8,4,7,5,6,2,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>17
[3,8,6,7,5,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[8,2,5,4,7,3,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>18
[4,2,8,7,3,6,5,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[3,7,8,6,1,4,5,2]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[4,6,7,8,2,1,5,3]=>[[1,2,3,4],[5,7],[6,8]]=>18
[4,7,6,3,8,1,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[3,8,1,4,6,2,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>10
[2,4,5,3,8,7,1,6]=>[[1,2,3,5],[4,6],[7,8]]=>19
[4,7,5,6,2,8,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[8,7,5,1,6,3,2,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>13
[7,8,6,2,3,5,1,4]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[2,8,4,6,7,3,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[4,1,6,7,8,2,5,3]=>[[1,3,4,5],[2,6,7],[8]]=>14
[8,6,3,4,1,2,7,5]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[2,5,8,4,6,1,3,7]=>[[1,2,3,8],[4,5],[6,7]]=>16
[4,7,8,6,5,1,3,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[6,8,4,7,3,5,2,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[7,4,5,8,3,6,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[8,4,7,3,5,6,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[3,6,4,2,8,1,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>17
[3,8,6,2,1,7,4,5]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[3,1,8,2,4,6,5,7]=>[[1,3,5,6,8],[2,4],[7]]=>8
[8,1,7,6,2,5,4,3]=>[[1,3,6],[2],[4],[5],[7],[8]]=>21
[8,5,4,3,7,6,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>15
[4,8,1,3,6,7,5,2]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[3,5,8,6,1,7,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[8,1,4,7,5,2,6,3]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[1,4,8,6,7,3,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[4,1,6,7,8,5,3,2]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[3,7,8,6,4,1,5,2]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[4,6,1,5,7,2,3,8]=>[[1,2,5,8],[3,4,7],[6]]=>10
[4,8,5,3,2,7,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[5,4,8,1,3,7,2,6]=>[[1,3,6],[2,5],[4,8],[7]]=>14
[8,4,5,3,1,7,2,6]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[7,4,5,3,1,8,6,2]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[5,6,8,7,2,4,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[5,7,8,6,4,2,3,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[6,8,7,5,1,3,2,4]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[3,8,2,6,7,5,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[4,7,6,3,8,2,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[6,7,4,1,8,2,5,3]=>[[1,2,5],[3,6,7],[4,8]]=>16
[5,7,6,8,3,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[7,6,4,2,8,1,5,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>14
[6,3,4,8,7,1,2,5]=>[[1,3,4],[2,5,8],[6,7]]=>15
[2,7,4,8,1,6,3,5]=>[[1,2,4],[3,6,8],[5,7]]=>16
[5,3,1,6,7,8,2,4]=>[[1,4,5,6],[2,7,8],[3]]=>9
[3,4,7,8,6,1,2,5]=>[[1,2,3,4],[5,7,8],[6]]=>17
[2,1,4,7,8,6,3,5]=>[[1,3,4,5],[2,6,8],[7]]=>13
[2,4,5,8,1,6,3,7]=>[[1,2,3,4,8],[5,6],[7]]=>14
[3,4,6,8,2,5,7,1]=>[[1,2,3,4],[5,6,7],[8]]=>19
[1,8,5,6,4,2,3,7]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[1,8,7,6,2,4,5,3]=>[[1,2,6,7],[3],[4],[5],[8]]=>16
[6,4,8,5,7,3,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[1,6,4,7,2,5,8,3]=>[[1,2,4,7],[3,6],[5,8]]=>14
[2,7,5,1,8,6,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>15
[4,7,1,6,5,3,8,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[1,7,5,6,4,8,2,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[2,4,8,5,7,3,1,6]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[8,3,1,4,6,2,7,5]=>[[1,4,5,7],[2,6,8],[3]]=>8
[7,2,6,4,5,8,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[4,6,7,8,9,1,2,3,5]=>[[1,2,3,4,5],[6,7,8,9]]=>20
[5,7,8,9,1,2,3,4,6]=>[[1,2,3,4,9],[5,6,7,8]]=>16
[2,7,1,5,3,8,6,4]=>[[1,2,6],[3,4,7],[5,8]]=>15
[3,5,7,2,8,4,1,6]=>[[1,2,3,5],[4,6,8],[7]]=>17
[2,4,3,8,5,1,7,6]=>[[1,2,4,7],[3,5],[6,8]]=>16
[7,3,2,1,4,8,6,5]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[2,8,3,4,1,7,6,5]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[4,7,6,8,2,5,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[2,6,7,1,4,5,8,3]=>[[1,2,3,7],[4,5,6],[8]]=>16
[8,7,2,6,1,5,3,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[7,1,3,8,2,6,4,5]=>[[1,3,4,8],[2,6],[5,7]]=>10
[6,2,5,3,4,7,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>10
[2,7,3,4,1,5,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>11
[2,5,8,1,6,7,3,4]=>[[1,2,3,6],[4,5,8],[7]]=>16
[6,2,8,3,4,5,1,7]=>[[1,3,5,6,8],[2,4],[7]]=>8
[3,6,4,1,2,5,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>9
[3,5,4,1,6,2,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>12
[4,5,7,2,8,3,1,6]=>[[1,2,3,5],[4,6,8],[7]]=>17
[3,5,1,7,6,2,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>14
[8,3,6,2,7,5,4,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[8,4,2,6,5,3,7,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>16
[5,4,2,7,1,8,6,3]=>[[1,4,6],[2,7],[3,8],[5]]=>12
[4,1,7,6,5,3,2,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[2,3,6,7,1,8,5,4]=>[[1,2,3,4,6],[5,7],[8]]=>16
[3,6,1,2,7,8,5,4]=>[[1,2,5,6],[3,4,7],[8]]=>13
[4,5,1,8,7,6,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[8,4,5,2,7,6,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[4,1,3,6,7,5,2,8]=>[[1,3,4,5,8],[2,6],[7]]=>10
[3,1,4,5,7,6,2,8]=>[[1,3,4,5,8],[2,6],[7]]=>10
[4,5,1,3,6,8,7,2]=>[[1,2,5,6],[3,4,7],[8]]=>13
[3,8,5,1,2,4,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>7
[8,5,1,2,4,3,6,7]=>[[1,4,5,7,8],[2],[3],[6]]=>8
[5,8,4,1,2,3,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>7
[3,5,8,1,4,2,7,6]=>[[1,2,3],[4,5,7],[6,8]]=>20
[2,8,5,7,1,4,3,6]=>[[1,2,4],[3,6,8],[5],[7]]=>18
[4,8,7,5,1,2,3,6]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[8,1,2,4,6,3,7,5]=>[[1,3,4,5,7],[2,8],[6]]=>10
[7,6,1,4,2,3,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[6,1,2,7,8,4,3,5]=>[[1,3,4,5],[2,6,8],[7]]=>13
[7,8,1,2,5,3,4,6]=>[[1,2,5,7,8],[3,4],[6]]=>9
[1,8,4,7,5,2,3,6]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[8,4,7,2,1,6,3,5]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[4,5,8,2,1,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>15
[7,4,2,5,3,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[3,1,6,7,5,2,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>10
[8,4,2,5,3,6,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[4,8,1,5,3,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>15
[4,1,7,5,2,6,3,8]=>[[1,3,6,8],[2,4,7],[5]]=>7
[7,1,5,3,6,8,2,4]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[4,5,2,6,1,8,3,7]=>[[1,2,4,6],[3,7,8],[5]]=>14
[5,1,8,6,7,3,4,2]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[5,4,8,2,1,3,6,7]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[1,4,8,3,2,6,5,7]=>[[1,2,3,8],[4,6],[5,7]]=>14
[1,3,8,4,2,7,5,6]=>[[1,2,3,6,8],[4,7],[5]]=>11
[7,2,8,3,1,4,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>6
[8,1,3,2,7,5,4,6]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[2,3,4,7,8,9,6,5,1]=>[[1,2,3,4,5,6],[7],[8],[9]]=>21
[2,3,6,7,8,9,5,4,1]=>[[1,2,3,4,5,6],[7],[8],[9]]=>21
[2,5,6,7,8,9,4,3,1]=>[[1,2,3,4,5,6],[7],[8],[9]]=>21
[2,3,4,5,6,1,9,8,7]=>[[1,2,3,4,5,7],[6,8],[9]]=>19
[2,3,4,5,1,9,8,7,6]=>[[1,2,3,4,6],[5,7],[8],[9]]=>24
[2,3,4,5,6,9,10,8,7,1]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>24
[2,3,4,5,8,9,10,7,6,1]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>24
[2,3,4,7,8,9,10,6,5,1]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>24
[2,3,6,7,8,9,10,5,4,1]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>24
[2,5,6,7,8,9,10,4,3,1]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>24
[9,10,2,4,6,8,1,3,5,7]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>20
[7,8,2,4,6,10,1,3,5,9]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>20
[5,6,2,4,8,10,1,3,7,9]=>[[1,2,5,6],[3,4,9,10],[7,8]]=>20
[5,6,9,10,2,4,8,1,3,7]=>[[1,2,3,4],[5,6,7],[8,9,10]]=>33
[3,4,9,10,2,6,8,1,5,7]=>[[1,2,3,4],[5,6,7],[8,9,10]]=>33
[8,9,10,3,4,7,2,6,1,5]=>[[1,2,3],[4,5,6],[7,8],[9,10]]=>37
[4,8,5,9,10,3,7,2,6,1]=>[[1,2,4,5],[3,7],[6,9],[8],[10]]=>32
[3,10,11,12,4,7,9,2,6,8,1,5]=>[[1,2,3,4],[5,6,7],[8,9,10],[11,12]]=>53
[5,10,11,12,3,6,9,2,4,8,1,7]=>[[1,2,3,4],[5,6,7],[8,9,10],[11,12]]=>53
[7,6,1,8,2,5,4,3]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[8,4,1,6,7,3,5,2]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[5,8,4,2,1,6,3,7]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[7,6,4,1,2,5,3,8]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[5,4,2,8,1,6,3,7]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[8,7,2,6,4,5,3,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>20
[7,2,8,4,3,6,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[1,7,5,4,8,6,2,3]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[4,8,6,3,5,2,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[5,8,6,3,2,7,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[5,7,6,3,2,4,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[5,7,3,2,8,6,4,1]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[4,5,1,6,8,2,7,3]=>[[1,2,4,5],[3,6,7],[8]]=>17
[1,2,3,5,7,8,10,6,9,4]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>23
[1,2,4,5,7,8,10,3,9,6]=>[[1,2,3,4,5,6,7],[8,9],[10]]=>23
[1,2,3,5,7,9,6,10,8,4]=>[[1,2,3,4,5,6,8],[7,9],[10]]=>22
[1,2,4,5,7,9,3,10,8,6]=>[[1,2,3,4,5,6,8],[7,9],[10]]=>22
[1,3,4,6,8,2,9,5,10,7]=>[[1,2,3,4,5,7,9],[6,8,10]]=>18
[1,2,3,6,5,9,7,10,8,4]=>[[1,2,3,4,6,8],[5,7,9],[10]]=>24
[1,2,4,6,3,9,7,10,8,5]=>[[1,2,3,4,6,8],[5,7,9],[10]]=>24
[1,3,2,6,4,9,7,10,8,5]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>23
[1,6,3,7,2,4,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>13
[4,3,1,6,7,2,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>7
[6,3,1,5,7,2,4,8]=>[[1,4,5,8],[2,6,7],[3]]=>7
[5,2,1,4,8,6,7,3]=>[[1,4,5,7],[2,6],[3,8]]=>9
[4,5,2,1,3,7,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>8
[8,2,7,4,1,6,5,3]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[3,2,8,4,1,6,5,7]=>[[1,3,6,8],[2,4],[5,7]]=>11
[7,1,8,4,2,3,6,5]=>[[1,3,6,7],[2,4],[5,8]]=>12
[2,7,6,4,5,1,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[3,6,8,1,5,7,4,2]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[2,8,3,1,6,7,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>13
[4,5,6,8,2,1,7,3]=>[[1,2,3,4],[5,7],[6,8]]=>18
[4,5,6,8,1,3,7,2]=>[[1,2,3,4],[5,6,7],[8]]=>19
[4,5,8,3,2,1,7,6]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[4,5,1,3,2,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>8
[4,7,3,2,1,6,5,8]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[4,7,8,3,5,1,6,2]=>[[1,2,3],[4,5,7],[6,8]]=>20
[4,7,1,3,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>10
[4,8,3,2,1,6,7,5]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[5,2,8,1,4,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>9
[5,6,3,7,8,1,4,2]=>[[1,2,4,5],[3,7],[6,8]]=>16
[5,7,1,4,3,6,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>14
[6,2,3,7,1,5,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>10
[6,2,8,1,5,4,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[6,1,3,4,5,2,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>6
[7,1,3,4,5,6,2,8]=>[[1,3,4,5,6,8],[2],[7]]=>7
[7,2,5,1,3,6,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>6
[6,5,2,7,8,4,3,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[7,5,3,6,4,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[1,3,6,7,5,2,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>13
[1,5,2,6,8,7,3,4]=>[[1,2,4,5],[3,6,8],[7]]=>16
[4,3,2,8,9,1,5,6,7]=>[[1,4,5,9],[2,7,8],[3],[6]]=>12
[6,9,4,7,2,5,1,3,8]=>[[1,2,9],[3,4],[5,6],[7,8]]=>24
[6,4,3,9,2,7,1,5,8]=>[[1,4,9],[2,6],[3,8],[5],[7]]=>16
[6,5,4,3,2,9,1,7,8]=>[[1,6,9],[2,8],[3],[4],[5],[7]]=>17
[2,7,8,9,1,3,4,5,10,6]=>[[1,2,3,4,9],[5,6,7,8,10]]=>17
[8,3,4,9,10,1,2,5,6,7]=>[[1,3,4,5,10],[2,7,8,9],[6]]=>15
[5,9,10,2,6,7,1,3,4,8]=>[[1,2,3,10],[4,5,6],[7,8,9]]=>27
[9,5,6,3,4,10,1,2,7,8]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[5,3,9,2,6,10,1,4,7,8]=>[[1,3,6,10],[2,5,9],[4,8],[7]]=>15
[5,4,3,2,9,10,1,6,7,8]=>[[1,5,6,10],[2,8,9],[3],[4],[7]]=>16
[10,7,8,5,6,3,4,1,2,9]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>22
[7,5,10,3,8,2,6,1,4,9]=>[[1,3,10],[2,5],[4,7],[6,9],[8]]=>22
[7,5,4,3,10,2,8,1,6,9]=>[[1,5,10],[2,7],[3,9],[4],[6],[8]]=>21
[7,6,5,4,3,2,10,1,8,9]=>[[1,7,10],[2,9],[3],[4],[5],[6],[8]]=>23
[5,3,4,7,2,1,6,8]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[4,8,5,7,1,2,3,6]=>[[1,2,4,8],[3,6,7],[5]]=>12
[4,2,3,7,6,1,8,5]=>[[1,3,4,7],[2,5],[6,8]]=>14
[4,2,6,3,1,5,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>6
[4,6,3,2,5,8,7,1]=>[[1,2,6],[3,5,7],[4],[8]]=>15
[5,8,4,3,2,6,1,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[1,5,7,4,8,6,2,3]=>[[1,2,3,5],[4,6],[7,8]]=>19
[6,1,5,7,3,8,2,4]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[1,2,7,8,6,4,3,5]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[3,5,1,7,8,6,2,4]=>[[1,2,4,5],[3,6,8],[7]]=>16
[5,2,4,1,7,6,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>10
[1,2,4,5,6,3,8,7,10,9]=>[[1,2,3,4,5,7,9],[6,8,10]]=>18
[1,2,3,5,6,7,8,4,10,9]=>[[1,2,3,4,5,6,7,9],[8,10]]=>15
[5,4,3,8,1,7,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[7,3,1,5,6,8,4,2]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[7,2,3,1,6,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>10
[5,7,8,1,6,2,3,4]=>[[1,2,3,8],[4,5,7],[6]]=>14
[1,6,4,2,7,3,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>12
[1,4,2,5,8,6,3,7]=>[[1,2,4,5,8],[3,6],[7]]=>12
[4,8,2,1,5,7,3,6]=>[[1,2,6],[3,5,8],[4,7]]=>12
[5,2,7,1,6,3,4,8]=>[[1,3,7,8],[2,5],[4,6]]=>7
[4,8,2,5,1,6,3,7]=>[[1,2,6,8],[3,4],[5,7]]=>13
[5,8,1,2,4,6,3,7]=>[[1,2,5,6,8],[3,4],[7]]=>10
[5,1,7,3,6,4,2,8]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[3,2,7,5,6,1,4,8]=>[[1,3,5,8],[2,4],[6,7]]=>12
[3,2,7,1,6,4,5,8]=>[[1,3,7,8],[2,5],[4,6]]=>7
[6,3,1,7,5,4,2,8]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[6,2,8,7,3,4,5,1]=>[[1,3,6,7],[2,4],[5],[8]]=>13
[7,3,4,8,5,6,2,1]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[7,3,6,8,4,5,2,1]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[5,6,2,8,3,1,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>19
[1,4,7,5,6,2,8,3]=>[[1,2,3,5,7],[4,8],[6]]=>13
[1,7,4,8,3,5,6,2]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[5,3,1,4,8,6,2,7]=>[[1,4,5,8],[2,6],[3,7]]=>8
[5,2,4,8,3,1,6,7]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[7,4,5,1,8,6,2,3]=>[[1,3,5],[2,6,8],[4,7]]=>11
[8,1,5,7,6,3,2,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[1,8,6,7,5,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[7,4,8,3,1,6,5,2]=>[[1,3],[2,6],[4,7],[5,8]]=>14
[8,1,5,3,7,6,2,4]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[6,4,8,7,3,5,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>22
[6,1,4,2,3,5,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>4
[7,1,4,3,8,6,5,2]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[6,1,5,7,2,8,3,4]=>[[1,3,4,6],[2,7,8],[5]]=>11
[1,8,2,6,7,4,3,5]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[1,6,2,7,3,8,4,9,5]=>[[1,2,4,6,8],[3,5,7,9]]=>14
[1,8,5,2,9,6,3,10,7,4]=>[[1,2,5,8],[3,6,9],[4,7,10]]=>21
[7,2,4,1,8,5,3,6]=>[[1,3,5,8],[2,6],[4,7]]=>9
[7,3,2,1,4,6,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[4,7,2,6,1,8,3,5]=>[[1,2,6],[3,4,8],[5,7]]=>14
[7,5,3,2,1,6,8,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[6,8,1,3,4,2,5,7]=>[[1,2,5,7,8],[3,4],[6]]=>9
[3,6,1,4,7,8,2,5]=>[[1,2,5,6],[3,4,8],[7]]=>12
[2,5,7,1,3,6,4,8]=>[[1,2,3,8],[4,5,6],[7]]=>15
[1,4,7,2,5,3,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[4,5,3,1,2,6,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>9
[4,5,1,3,8,2,6,7]=>[[1,2,5,8],[3,4,7],[6]]=>10
[4,1,5,3,2,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>7
[7,3,5,1,4,2,6,8]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[6,2,1,7,4,3,8,5]=>[[1,4,7],[2,5,8],[3,6]]=>7
[2,4,3,6,7,1,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>11
[7,3,5,2,1,6,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[4,6,5,2,1,3,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[2,5,6,1,4,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>11
[6,1,5,3,7,2,4,8]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[3,6,5,4,1,7,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[6,7,1,9,2,3,4,5,8]=>[[1,2,4,7,8,9],[3,5,6]]=>8
[6,1,8,9,2,3,4,5,7]=>[[1,3,4,7,8,9],[2,5,6]]=>5
[6,8,7,5,4,2,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>22
[1,6,8,7,3,2,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[8,7,5,4,6,1,3,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>19
[1,7,8,2,4,6,3,5]=>[[1,2,3,6],[4,5],[7,8]]=>18
[7,5,4,8,1,3,6,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[5,6,1,8,4,3,7,2]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[1,8,2,6,7,5,4,3]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[2,7,5,1,6,8,3,4]=>[[1,2,5,6],[3,7,8],[4]]=>13
[8,5,4,2,7,3,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[3,8,6,1,2,4,5,7]=>[[1,2,6,7,8],[3,5],[4]]=>7
[1,8,5,3,2,7,4,6]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[1,8,4,7,2,3,5,6]=>[[1,2,4,7,8],[3,6],[5]]=>9
[3,2,8,1,7,5,4,6]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[3,4,5,6,2,1,7,8,9]=>[[1,2,3,4,7,8,9],[5],[6]]=>9
[3,4,5,2,1,6,7,8,9]=>[[1,2,3,6,7,8,9],[4],[5]]=>7
[7,1,5,6,2,3,4,8]=>[[1,3,4,7,8],[2,6],[5]]=>7
[6,5,1,7,2,3,4,8]=>[[1,4,6,7,8],[2,5],[3]]=>4
[1,6,8,2,7,3,4,5]=>[[1,2,3,7,8],[4,5],[6]]=>11
[1,6,8,7,3,4,2,5]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[4,1,3,6,7,8,5,2]=>[[1,3,4,5,6],[2,7],[8]]=>12
[7,4,1,5,6,8,3,2]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[4,1,2,6,7,8,5,3]=>[[1,3,4,5,6],[2,7],[8]]=>12
[3,4,5,8,9,1,2,6,7]=>[[1,2,3,4,5],[6,7,8,9]]=>20
[3,4,7,8,9,1,2,5,6]=>[[1,2,3,4,5],[6,7,8,9]]=>20
[3,6,7,8,9,1,2,4,5]=>[[1,2,3,4,5],[6,7,8,9]]=>20
[3,4,5,6,1,7,2,8,9]=>[[1,2,3,4,6,8,9],[5,7]]=>9
[3,4,5,1,6,2,7,8,9]=>[[1,2,3,5,7,8,9],[4,6]]=>7
[3,4,5,6,7,10,1,2,8,9]=>[[1,2,3,4,5,6,10],[7,8,9]]=>18
[3,4,1,5,9,2,6,7,8]=>[[1,2,4,5,8,9],[3,6,7]]=>10
[3,4,5,6,9,10,1,2,7,8]=>[[1,2,3,4,5,6],[7,8,9,10]]=>24
[3,4,5,8,9,10,1,2,6,7]=>[[1,2,3,4,5,6],[7,8,9,10]]=>24
[1,3,7,8,9,2,4,5,6]=>[[1,2,3,4,5],[6,7,8,9]]=>20
[3,4,7,8,9,10,1,2,5,6]=>[[1,2,3,4,5,6],[7,8,9,10]]=>24
[2,6,7,8,9,1,3,4,5]=>[[1,2,3,4,5],[6,7,8,9]]=>20
[3,6,7,8,9,10,1,2,4,5]=>[[1,2,3,4,5,6],[7,8,9,10]]=>24
[6,3,7,1,8,2,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>8
[8,6,3,1,4,2,7,5,10,9]=>[[1,5,7,9],[2,6,8,10],[3],[4]]=>9
[1,5,4,7,8,3,6,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[5,1,4,7,8,3,6,2]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[4,8,1,5,6,2,3,7]=>[[1,2,5,8],[3,4,7],[6]]=>10
[5,6,4,1,7,3,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[4,3,7,8,2,5,1,6]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[3,7,8,5,4,2,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[1,7,4,5,6,8,3,2]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[7,2,4,5,6,8,3,1]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[2,7,4,5,6,8,3,1]=>[[1,2,4,5,6],[3],[7],[8]]=>15
[2,4,7,8,3,1,6,5]=>[[1,2,3,4],[5,7],[6,8]]=>18
[5,4,3,6,8,1,7,2]=>[[1,4,5],[2,7],[3,8],[6]]=>13
[3,7,4,5,8,1,6,2]=>[[1,2,4,5],[3,7],[6,8]]=>16
[1,4,3,5,6,8,2,7]=>[[1,2,4,5,6],[3,8],[7]]=>13
[1,4,6,5,8,2,7,3]=>[[1,2,3,5],[4,7],[6,8]]=>17
[4,6,1,7,3,2,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>14
[1,7,3,6,4,2,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[4,7,3,5,1,2,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>13
[1,6,4,2,3,5,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>10
[4,8,3,5,2,1,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[1,6,8,4,7,5,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[4,7,1,6,8,2,3,5]=>[[1,2,5,8],[3,4,7],[6]]=>10
[4,6,5,8,2,3,7,1]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[7,1,8,2,4,5,3,6]=>[[1,3,5,6,8],[2,4],[7]]=>8
[5,7,8,2,3,4,1,6]=>[[1,2,3,8],[4,5,6],[7]]=>15
[5,2,3,8,7,1,4,6]=>[[1,3,4,8],[2,5],[6,7]]=>13
[8,7,1,3,2,6,4,5]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[2,7,6,4,8,3,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[2,6,3,7,5,8,4,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[7,5,1,2,3,8,4,6]=>[[1,4,5,6,8],[2,7],[3]]=>6
[8,6,2,1,3,7,4,5]=>[[1,5,6,8],[2,7],[3],[4]]=>8
[4,2,3,6,8,5,7,1]=>[[1,3,4,5],[2,6,7],[8]]=>14
[4,7,3,2,6,5,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[4,3,7,8,2,1,6,5]=>[[1,3,4],[2,7],[5,8],[6]]=>15
[4,8,7,2,1,5,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[7,3,8,2,5,1,6,4]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[4,5,3,8,6,1,2,7]=>[[1,2,4,8],[3,5],[6,7]]=>15
[6,3,5,8,4,1,2,7]=>[[1,3,4],[2,7,8],[5],[6]]=>14
[7,3,8,4,5,1,2,6]=>[[1,3,5,8],[2,4],[6,7]]=>12
[4,8,7,5,1,2,6,3]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[7,8,4,6,1,3,5,2]=>[[1,2,7],[3,4],[5,6],[8]]=>19
[4,8,7,5,1,3,6,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[4,5,3,6,8,1,2,7]=>[[1,2,4,5],[3,7,8],[6]]=>15
[7,8,6,2,1,4,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[7,8,6,3,1,2,5,4]=>[[1,2,7],[3,6],[4,8],[5]]=>15
[5,2,8,4,7,1,3,6]=>[[1,3,5],[2,4,8],[6,7]]=>13
[7,3,1,2,8,6,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[8,7,1,3,2,4,5,6]=>[[1,4,6,7,8],[2],[3],[5]]=>7
[6,8,2,1,4,5,3,7]=>[[1,2,6,8],[3,5],[4,7]]=>11
[2,1,4,3,6,5,10,7,8,9]=>[[1,3,5,7,9,10],[2,4,6,8]]=>4
[2,1,4,3,10,5,6,7,8,9]=>[[1,3,5,7,8,9,10],[2,4,6]]=>3
[6,5,2,1,4,3,8,7,10,9]=>[[1,5,7,9],[2,6,8,10],[3],[4]]=>9
[6,5,2,1,4,3,10,7,8,9]=>[[1,5,7,9,10],[2,6,8],[3],[4]]=>8
[1,5,4,8,7,3,2,6]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[4,3,1,2,6,5,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>5
[7,5,8,1,2,4,6,3]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[6,1,5,2,8,7,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[4,6,3,5,7,1,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>14
[1,4,7,2,6,5,8,3]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[1,5,7,2,6,4,8,3]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[7,2,4,6,1,8,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>11
[1,2,7,8,3,5,4,6]=>[[1,2,3,4,8],[5,6],[7]]=>14
[1,7,6,2,8,5,4,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[1,2,7,8,3,4,6,5]=>[[1,2,3,4,7],[5,6],[8]]=>15
[1,7,6,8,3,4,2,5]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[3,4,1,7,8,6,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[2,4,8,6,5,7,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[5,1,3,4,8,2,7,6]=>[[1,3,4,5],[2,7],[6,8]]=>13
[8,7,3,6,1,4,2,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[6,5,1,8,3,4,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[8,2,1,5,6,4,7,3]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[7,5,6,1,3,4,8,2]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[5,7,2,4,6,1,8,3]=>[[1,2,5,7],[3,4],[6,8]]=>15
[2,1,5,6,3,8,7,4]=>[[1,3,4,6],[2,5,7],[8]]=>13
[3,2,7,5,8,6,4,1]=>[[1,3,5],[2,4,6],[7],[8]]=>16
[2,4,5,3,8,1,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>17
[7,2,5,4,3,8,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[8,5,3,1,2,6,7,4]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[7,2,5,1,3,6,8,4]=>[[1,3,6,7],[2,5,8],[4]]=>7
[8,4,7,3,1,2,6,5]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[1,8,7,3,5,2,6,4]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[2,4,8,3,6,5,7,1]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[3,1,8,2,6,5,7,4]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[4,6,7,8,5,2,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[4,7,2,1,8,6,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[5,6,2,8,4,1,7,3]=>[[1,2,4],[3,5,7],[6,8]]=>19
[5,7,2,4,8,6,1,3]=>[[1,2,5],[3,4,6],[7,8]]=>17
[6,7,2,4,8,5,1,3]=>[[1,2,5],[3,4,6],[7,8]]=>17
[6,7,3,2,8,5,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[7,2,3,1,8,6,5,4]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[7,2,8,3,5,6,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>14
[7,2,3,8,4,6,1,5]=>[[1,3,4,6],[2,5],[7,8]]=>15
[1,7,3,4,8,5,2,6]=>[[1,2,4,5,8],[3,6],[7]]=>12
[1,7,3,8,5,4,2,6]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[7,2,8,4,5,3,1,6]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[2,8,6,4,3,1,7,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[1,7,3,4,8,2,5,6]=>[[1,2,4,5,8],[3,7],[6]]=>11
[1,5,8,3,4,6,2,7]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,3,8,4,2,5,7,6]=>[[1,2,3,6,7],[4,8],[5]]=>12
[1,4,7,6,2,3,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>14
[1,8,4,6,7,2,3,5]=>[[1,2,4,5],[3,7,8],[6]]=>15
[1,4,2,3,7,8,6,5]=>[[1,2,4,5,6],[3,7],[8]]=>14
[5,7,1,6,4,8,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[1,2,9,7,5,3,10,8,6,4]=>[[1,2,3,7],[4,8],[5,9],[6,10]]=>27
[7,4,5,8,1,3,6,2]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[1,4,3,6,2,5,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>13
[1,3,6,5,8,2,4,7]=>[[1,2,3,5],[4,7,8],[6]]=>16
[1,4,6,3,2,8,5,7]=>[[1,2,3,6],[4,7,8],[5]]=>15
[6,8,4,1,5,7,2,3]=>[[1,2,6],[3,5,8],[4,7]]=>12
[5,2,6,7,4,1,8,3]=>[[1,3,4,7],[2,5],[6,8]]=>14
[8,5,6,4,1,7,3,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[7,8,3,1,6,4,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[5,8,2,6,3,1,7,4]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[4,5,8,1,6,3,7,2]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[8,1,4,6,2,5,7,3]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[4,5,8,1,6,2,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>15
[5,2,6,8,1,4,3,7]=>[[1,3,4],[2,6,8],[5,7]]=>12
[6,7,3,8,2,1,4,5]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[2,7,3,5,4,1,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[2,6,3,7,4,1,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>14
[2,1,4,8,5,3,7,6]=>[[1,3,4,7],[2,5,8],[6]]=>11
[2,7,3,8,4,1,6,5]=>[[1,2,4,7],[3,5],[6,8]]=>16
[2,6,3,1,5,4,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>12
[1,5,8,3,4,7,2,6]=>[[1,2,3,6],[4,5],[7,8]]=>18
[5,3,8,1,4,6,2,7]=>[[1,3,6,8],[2,5],[4,7]]=>8
[4,5,8,1,3,6,2,7]=>[[1,2,3,8],[4,5,6],[7]]=>15
[7,4,6,5,2,8,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[4,1,3,8,5,7,6,2]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[4,1,3,7,2,8,6,5]=>[[1,3,4,6],[2,7],[5,8]]=>12
[4,6,3,1,7,2,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>12
[7,2,6,3,1,8,5,4]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[4,8,7,2,5,3,1,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[1,6,3,2,8,7,4,5]=>[[1,2,5,8],[3,6],[4,7]]=>12
[2,8,1,7,5,4,6,3]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[6,8,3,1,5,7,2,4]=>[[1,2,6],[3,5,8],[4,7]]=>12
[8,7,3,1,2,5,6,4]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[1,3,5,7,2,8,4,9,6]=>[[1,2,3,4,6,8],[5,7,9]]=>15
[1,3,5,6,2,7,4,9,8]=>[[1,2,3,4,6,8],[5,7,9]]=>15
[1,3,4,5,2,7,6,9,8]=>[[1,2,3,4,6,8],[5,7,9]]=>15
[3,5,6,7,1,8,2,9,4]=>[[1,2,3,4,6,8],[5,7,9]]=>15
[1,3,5,7,2,8,4,9,6,10]=>[[1,2,3,4,6,8,10],[5,7,9]]=>15
[1,3,5,6,2,7,4,9,8,10]=>[[1,2,3,4,6,8,10],[5,7,9]]=>15
[1,3,4,5,2,7,6,9,8,10]=>[[1,2,3,4,6,8,10],[5,7,9]]=>15
[5,4,3,6,1,7,8,2]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[3,2,7,8,5,6,1,4]=>[[1,3,4],[2,5,6],[7,8]]=>17
[4,8,3,2,1,7,5,6]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[1,9,8,7,6,4,3,2,5]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>27
[1,9,8,7,5,4,3,2,6]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>27
[1,9,8,6,5,4,3,2,7]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>27
[1,9,7,6,5,4,3,2,8]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>27
[1,9,8,7,6,5,2,3,4]=>[[1,2,8,9],[3],[4],[5],[6],[7]]=>20
[1,10,9,8,7,6,5,3,2,4]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>35
[1,10,9,8,7,6,4,3,2,5]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>35
[1,10,9,8,7,5,4,3,2,6]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>35
[1,10,9,8,6,5,4,3,2,7]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>35
[1,8,4,5,6,3,2,7]=>[[1,2,4,5,8],[3],[6],[7]]=>13
[1,10,9,7,6,5,4,3,2,8]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>35
[1,10,8,7,6,5,4,3,2,9]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>35
[8,5,1,7,4,6,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[1,3,7,8,4,6,2,5]=>[[1,2,3,4],[5,6],[7,8]]=>20
[4,8,7,3,6,1,2,5]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[5,8,4,3,7,1,2,6]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[5,6,4,8,7,2,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>21
[4,8,3,7,6,1,2,5]=>[[1,2,8],[3,4],[5,7],[6]]=>17
[2,8,4,7,1,3,6,5]=>[[1,2,4],[3,6,7],[5],[8]]=>19
[6,8,3,4,5,2,1,7]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[3,7,1,4,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>10
[3,6,1,4,5,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>9
[3,8,2,4,5,1,7,6]=>[[1,2,5,7],[3,4],[6,8]]=>15
[3,7,2,1,5,6,4,8]=>[[1,2,6,8],[3,5],[4,7]]=>11
[3,6,8,1,5,4,7,2]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[1,7,4,6,3,5,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>15
[1,3,6,5,7,2,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>12
[1,7,2,5,6,4,3,8]=>[[1,2,4,5,8],[3],[6],[7]]=>13
[1,6,8,5,4,3,7,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[2,5,7,8,4,3,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[6,8,5,3,2,4,1,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>17
[1,6,8,5,3,2,7,4]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[4,6,1,8,7,5,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[1,3,7,6,8,5,2,4]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[4,1,7,8,6,5,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[5,4,3,7,6,1,2,8]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[4,7,6,1,2,3,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>9
[4,5,2,6,7,8,1,3]=>[[1,2,4,5,6],[3,8],[7]]=>13
[2,8,7,6,5,4,3,1,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>27
[1,7,6,2,3,8,5,4]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[4,5,1,3,7,6,2,8]=>[[1,2,5,8],[3,4,6],[7]]=>11
[7,2,3,8,6,4,5,1]=>[[1,3,4,7],[2,5],[6],[8]]=>15
[1,5,4,3,8,6,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[1,3,7,5,8,4,6,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[5,8,1,2,7,6,4,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>22
[1,6,7,4,5,3,2,8]=>[[1,2,3,8],[4,5],[6],[7]]=>17
[1,4,2,6,7,5,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>12
[1,8,2,4,6,5,3,7]=>[[1,2,4,5,8],[3],[6],[7]]=>13
[7,2,1,6,4,3,8,5]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[1,4,8,7,2,3,6,5]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[4,1,3,6,5,8,2,7]=>[[1,3,4,6],[2,5,8],[7]]=>12
[4,3,7,1,5,8,2,6]=>[[1,3,6],[2,5,8],[4,7]]=>9
[1,8,6,5,2,7,4,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>19
[1,8,6,2,7,4,3,5]=>[[1,2,5,8],[3,6],[4],[7]]=>14
[6,4,1,8,3,7,5,2]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[4,5,8,7,3,6,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[3,5,4,1,7,8,6,2]=>[[1,2,5,6],[3,7],[4,8]]=>14
[6,8,7,2,1,5,4,3]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[8,1,6,3,7,5,4,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[8,5,1,3,7,6,4,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[8,3,6,5,4,2,1,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>19
[6,1,3,5,7,2,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>10
[2,8,1,5,6,4,3,7]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[1,6,7,5,8,4,2,3]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[7,4,1,6,5,2,8,3]=>[[1,4,7],[2,5,8],[3],[6]]=>10
[7,4,2,8,6,5,3,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>19
[6,8,4,7,3,2,5,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>24
[5,8,7,3,2,1,6,4]=>[[1,2],[3,7],[4,8],[5],[6]]=>19
[5,8,7,2,6,4,3,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>25
[6,8,7,3,5,1,4,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>22
[7,2,5,6,8,3,4,1]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[1,6,5,7,8,3,2,4]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[8,6,7,2,3,5,4,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[5,4,8,6,7,3,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[4,2,7,3,1,6,8,5]=>[[1,3,6,7],[2,4],[5,8]]=>12
[7,3,6,4,2,1,8,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[4,8,5,2,7,3,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[6,4,3,1,8,5,2,7]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[7,4,3,1,5,8,6,2]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[7,4,8,6,5,3,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>21
[4,8,5,2,6,7,3,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[7,3,2,1,8,5,6,4]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[7,8,1,9,2,3,4,5,6]=>[[1,2,4,7,8,9],[3,5,6]]=>8
[9,1,2,3,4,5,7,6,8]=>[[1,3,4,5,6,7,9],[2],[8]]=>8
[2,1,3,4,5,9,6,7,8]=>[[1,3,4,5,6,8,9],[2,7]]=>5
[1,5,7,2,4,3,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>15
[1,2,7,5,8,4,3,6]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[5,1,3,8,2,7,4,6]=>[[1,3,4,8],[2,6],[5,7]]=>10
[5,7,1,3,2,8,4,6]=>[[1,2,6,8],[3,4,7],[5]]=>9
[7,1,6,3,2,8,4,5]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[8,1,7,2,3,6,5,4]=>[[1,3,5,6],[2],[4],[7],[8]]=>17
[7,1,2,6,4,3,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[1,4,7,8,3,2,5,6]=>[[1,2,3,4],[5,7,8],[6]]=>17
[8,7,1,3,2,4,6,5]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[8,1,6,3,2,4,7,5]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[1,8,2,7,6,3,5,4]=>[[1,2,4,7],[3],[5],[6],[8]]=>18
[8,1,6,3,2,7,4,5]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[8,2,1,7,6,3,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[8,7,2,4,3,1,5,6]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[4,7,6,2,3,1,5,8]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[4,7,6,1,3,2,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[2,8,1,3,5,6,4,7]=>[[1,2,5,6,8],[3,4],[7]]=>10
[2,6,3,4,7,8,5,1]=>[[1,2,4,5,6],[3,7],[8]]=>14
[7,6,3,1,8,5,2,4]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[7,2,1,3,6,8,5,4]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[7,6,3,8,1,5,2,4]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[1,6,4,7,8,5,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[7,2,5,8,6,1,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>15
[4,1,3,6,2,5,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>10
[7,1,4,6,3,2,5,8]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[7,4,5,8,6,2,3,1]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[6,7,2,3,8,4,1,5]=>[[1,2,5,8],[3,4,6],[7]]=>11
[2,7,8,1,5,4,3,6]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[1,5,2,6,8,7,4,3]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[1,2,3,4,5,6,8,9,7,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>8
[1,8,3,7,5,2,6,4]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[8,1,3,6,5,2,7,4]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[7,1,3,8,5,2,6,4]=>[[1,3,4,7],[2,5],[6,8]]=>14
[4,7,1,5,2,6,8,3]=>[[1,2,6,7],[3,4,8],[5]]=>10
[7,4,1,5,2,6,8,3]=>[[1,4,6,7],[2,5,8],[3]]=>6
[3,1,6,7,5,2,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>11
[8,6,2,4,5,1,7,3]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[8,6,7,5,2,1,4,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[7,1,4,5,2,6,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>9
[4,1,6,2,3,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>11
[4,1,7,6,5,2,8,3]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[8,4,1,5,6,2,7,3]=>[[1,4,5,7],[2,6,8],[3]]=>8
[8,4,5,3,6,1,7,2]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[2,8,4,7,3,5,6,1]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[1,5,4,8,3,2,6,7]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[1,5,7,6,3,8,2,4]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[2,6,3,1,7,8,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>13
[2,1,7,8,3,5,4,6]=>[[1,3,4,8],[2,5,6],[7]]=>11
[1,5,8,6,7,4,2,3]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[8,7,1,3,5,2,6,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[3,7,8,2,5,4,1,6]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[4,7,6,5,8,1,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[4,7,8,6,2,1,5,3]=>[[1,2,3],[4,7],[5,8],[6]]=>19
[4,8,6,3,2,1,7,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[5,1,4,7,6,8,3,2]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[5,6,4,7,1,8,3,2]=>[[1,2,4,6],[3,7],[5],[8]]=>17
[5,3,7,4,6,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>13
[4,1,5,7,8,6,3,2]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[3,6,7,1,5,4,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>18
[3,6,4,7,5,8,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[8,1,7,3,2,4,5,6]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[6,4,7,1,5,2,8,3]=>[[1,3,7],[2,5,8],[4,6]]=>8
[1,6,5,2,8,7,4,3]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[2,3,4,5,7,8,1,9,6]=>[[1,2,3,4,5,6,8],[7,9]]=>13
[1,3,4,5,2,6,7,8,9]=>[[1,2,3,4,6,7,8,9],[5]]=>4
[1,2,3,4,5,7,8,6,9,10]=>[[1,2,3,4,5,6,7,9,10],[8]]=>7
[2,3,4,5,7,9,1,6,8]=>[[1,2,3,4,5,6],[7,8,9]]=>18
[1,2,3,4,5,7,8,9,6,10]=>[[1,2,3,4,5,6,7,8,10],[9]]=>8
[2,3,4,5,1,6,7,9,8]=>[[1,2,3,4,6,7,8],[5,9]]=>11
[2,1,4,5,3,6,7,8,9]=>[[1,3,4,6,7,8,9],[2,5]]=>3
[1,3,2,5,4,6,7,8,9]=>[[1,2,4,6,7,8,9],[3,5]]=>5
[4,1,7,2,5,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>10
[3,2,5,8,6,1,7,4]=>[[1,3,4,7],[2,5],[6,8]]=>14
[4,5,1,7,2,8,6,3]=>[[1,2,4,6],[3,5,7],[8]]=>16
[6,4,7,2,5,3,1,8]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[7,1,4,3,6,8,2,5]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[4,1,6,2,8,3,5,7,9]=>[[1,3,5,7,8,9],[2,4,6]]=>3
[4,1,6,2,8,3,9,5,7]=>[[1,3,5,7,9],[2,4,6,8]]=>4
[4,1,6,2,7,3,8,5,9]=>[[1,3,5,7,9],[2,4,6,8]]=>4
[4,8,7,3,5,1,6,2]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[5,3,8,7,1,6,2,4]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[5,2,6,7,4,3,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[8,5,1,6,4,3,2,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>15
[8,6,3,5,2,7,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[8,4,6,2,1,5,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[8,5,2,1,6,4,7,3]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[1,7,2,8,5,4,6,3]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[6,7,1,4,8,5,3,2]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[7,3,2,8,5,1,4,6]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[4,1,7,3,2,8,5,6]=>[[1,3,6,8],[2,4,7],[5]]=>7
[8,3,5,2,4,7,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>12
[4,3,7,8,6,1,5,2]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[1,2,6,3,7,8,5,4]=>[[1,2,3,5,6],[4,7],[8]]=>15
[6,1,3,7,8,5,4,2]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[2,6,4,7,5,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[4,5,1,8,6,2,7,3]=>[[1,2,4,7],[3,5,8],[6]]=>14
[5,6,1,8,7,2,3,4]=>[[1,2,4,8],[3,5,7],[6]]=>13
[4,5,1,6,8,7,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[3,8,6,1,5,2,4,7]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[3,2,8,1,5,6,4,7]=>[[1,3,6,8],[2,5],[4,7]]=>8
[5,8,7,3,2,1,4,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>16
[3,4,7,6,8,2,1,5]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[2,8,1,3,7,5,6,4]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[1,8,7,2,5,6,4,3]=>[[1,2,5,6],[3],[4],[7],[8]]=>18
[3,4,7,1,5,8,2,6]=>[[1,2,3,6],[4,5,8],[7]]=>16
[1,3,5,2,4,6,7,8,9]=>[[1,2,3,6,7,8,9],[4,5]]=>6
[4,1,2,3,5,6,8,7,9]=>[[1,3,4,5,6,7,9],[2,8]]=>6
[1,2,4,7,3,5,6,8,9]=>[[1,2,3,4,7,8,9],[5,6]]=>8
[5,1,2,3,4,7,6,8,9]=>[[1,3,4,5,6,8,9],[2,7]]=>5
[1,4,7,5,2,3,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>10
[2,5,7,6,8,3,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[3,1,6,7,2,8,5,4]=>[[1,3,4,6],[2,5,7],[8]]=>13
[1,5,3,6,8,4,7,2]=>[[1,2,4,5],[3,6,7],[8]]=>17
[6,5,1,3,8,4,7,2]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[1,7,4,8,5,3,2,6]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[7,3,1,6,8,4,5,2]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[8,5,1,4,6,7,3,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[3,4,7,5,6,8,2,1]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[3,4,7,8,5,2,6,1]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[4,8,1,7,5,6,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[1,8,7,5,2,6,3,4]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[1,7,6,3,4,5,8,2]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[1,8,7,4,5,6,2,3]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[1,8,7,3,6,4,2,5]=>[[1,2,5,8],[3],[4],[6],[7]]=>16
[1,4,7,5,8,2,6,3]=>[[1,2,3,5],[4,7],[6,8]]=>17
[1,4,7,2,3,6,5,8]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,7,2,5,6,3,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>11
[1,2,6,5,8,3,4,7]=>[[1,2,3,5,8],[4,7],[6]]=>12
[1,5,8,2,6,3,4,7]=>[[1,2,3,7,8],[4,5],[6]]=>11
[6,8,3,2,7,5,1,4]=>[[1,2],[3,5],[4,6],[7,8]]=>22
[7,3,6,8,1,2,5,4]=>[[1,3,4],[2,6,7],[5],[8]]=>16
[4,1,5,7,2,6,3,8]=>[[1,3,4,8],[2,5,6],[7]]=>11
[5,7,2,1,3,6,4,8]=>[[1,2,6,8],[3,5],[4,7]]=>11
[8,7,1,10,2,3,4,5,6,9]=>[[1,4,6,7,8,9,10],[2,5],[3]]=>4
[3,5,6,7,2,4,1,8]=>[[1,2,3,4,8],[5,6],[7]]=>14
[6,4,7,5,2,3,1,8]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[1,5,6,4,8,3,2,7]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[2,1,5,6,4,8,3,7]=>[[1,3,4,6],[2,5,8],[7]]=>12
[5,1,4,7,8,6,2,3]=>[[1,3,4,5],[2,6],[7,8]]=>16
[1,6,7,2,8,5,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>20
[5,3,2,1,7,8,6,4]=>[[1,5,6],[2,7],[3,8],[4]]=>11
[7,4,3,8,6,1,5,2]=>[[1,4],[2,5],[3,7],[6,8]]=>14
[4,3,7,1,5,8,6,2]=>[[1,3,6],[2,5,7],[4,8]]=>10
[8,2,4,5,3,1,7,6]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[1,4,3,2,7,5,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>12
[1,5,2,8,6,3,10,9,7,4]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[4,1,5,2,8,6,3,10,9,7]=>[[1,3,5,8],[2,4,6,9],[7,10]]=>18
[1,7,5,2,8,6,3,10,9,4]=>[[1,2,5,8],[3,6,9],[4,7,10]]=>21
[6,4,1,7,5,2,8,3,10,9]=>[[1,4,7,9],[2,5,8,10],[3,6]]=>8
[3,4,1,7,2,8,5,10,9,6]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>23
[1,7,5,2,9,6,3,10,8,4]=>[[1,2,5,8],[3,6,9],[4,7,10]]=>21
[3,4,1,7,2,9,5,10,8,6]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>23
[6,4,1,8,5,2,9,3,10,7]=>[[1,4,7,9],[2,5,8,10],[3,6]]=>8
[7,6,4,1,8,5,2,9,3,10]=>[[1,5,8,10],[2,6,9],[3,7],[4]]=>10
[5,4,1,9,6,2,7,3,10,8]=>[[1,4,7,9],[2,5,8,10],[3,6]]=>8
[9,5,3,1,6,2,7,4,10,8]=>[[1,5,7,9],[2,6,8,10],[3],[4]]=>9
[8,5,4,1,6,2,9,3,10,7]=>[[1,5,7,9],[2,6,8,10],[3],[4]]=>9
[4,8,7,2,6,1,3,5]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[4,5,8,2,1,7,3,6]=>[[1,2,3],[4,6,8],[5,7]]=>17
[6,8,4,1,7,3,2,5]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[5,6,4,3,2,1,7,8,9]=>[[1,2,7,8,9],[3],[4],[5],[6]]=>14
[5,6,4,3,2,1,7,8,9,10]=>[[1,2,7,8,9,10],[3],[4],[5],[6]]=>14
[4,5,3,2,1,6,7,8,9]=>[[1,2,6,7,8,9],[3],[4],[5]]=>9
[6,7,5,4,3,2,1,8,9,10]=>[[1,2,8,9,10],[3],[4],[5],[6],[7]]=>20
[7,5,4,3,1,2,6,8,9]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>10
[6,5,4,3,7,1,2,8,9]=>[[1,5,8,9],[2,7],[3],[4],[6]]=>12
[6,7,9,8,5,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>33
[7,8,10,9,6,5,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9],[10]]=>42
[6,7,5,9,8,4,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8],[9]]=>31
[5,7,9,8,6,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8],[9]]=>33
[6,3,1,8,2,7,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[4,1,7,8,3,2,5,6]=>[[1,3,4,8],[2,5,7],[6]]=>10
[7,6,2,8,4,5,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[5,8,2,1,3,6,4,7]=>[[1,2,6,8],[3,5],[4,7]]=>11
[8,5,1,7,3,4,6,2]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[5,7,6,3,4,1,8,2]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[7,8,9,10,1,5,6,3,4,2]=>[[1,2,3,4],[5,6,7],[8,9],[10]]=>35
[1,8,3,5,2,6,4,7]=>[[1,2,4,6,8],[3,7],[5]]=>10
[3,4,6,1,8,5,7,2]=>[[1,2,3,5],[4,6,7],[8]]=>18
[2,3,8,7,4,5,1,6]=>[[1,2,3,6,8],[4],[5],[7]]=>13
[1,8,3,5,7,4,2,6]=>[[1,2,4,5],[3,8],[6],[7]]=>17
[2,5,8,4,6,7,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>18
[9,8,6,1,2,3,4,5,7]=>[[1,5,6,7,8,9],[2],[3],[4]]=>6
[9,8,7,5,1,2,3,4,6]=>[[1,6,7,8,9],[2],[3],[4],[5]]=>10
[9,8,7,6,4,1,2,3,5]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>15
[9,8,7,6,5,3,1,2,4]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>21
[7,1,2,6,4,3,5,8]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[7,1,2,6,5,3,4,8]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[4,7,8,6,2,3,5,1]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[7,1,2,4,8,6,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>17
[2,7,5,6,4,8,1,3]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[2,8,3,6,5,7,1,4]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[7,4,3,1,6,5,2,8]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[3,5,1,2,6,8,7,4]=>[[1,2,5,6],[3,4,7],[8]]=>13
[3,1,2,4,8,7,5,6]=>[[1,3,4,5,8],[2,6],[7]]=>10
[5,4,1,2,3,7,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>7
[1,6,7,2,5,8,3,4]=>[[1,2,3,6],[4,5,8],[7]]=>16
[7,8,5,6,2,4,3,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>25
[5,3,8,6,2,4,1,7]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[2,7,4,6,3,8,1,5]=>[[1,2,4,6],[3,8],[5],[7]]=>16
[5,4,7,8,6,2,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[2,7,4,8,3,1,5,6]=>[[1,2,4,8],[3,7],[5],[6]]=>14
[8,2,1,3,7,4,6,5]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[6,5,8,2,3,4,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>12
[7,8,2,3,6,4,5,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[8,1,2,7,5,3,4,6]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[4,2,8,1,3,7,5,6]=>[[1,3,6,8],[2,5],[4,7]]=>8
[7,5,1,8,2,3,4,6]=>[[1,4,6,7,8],[2,5],[3]]=>4
[8,2,4,1,3,7,5,6]=>[[1,3,6,8],[2,5,7],[4]]=>6
[8,1,6,2,3,7,4,5]=>[[1,3,5,6,8],[2,7],[4]]=>7
[7,1,8,2,3,6,4,5]=>[[1,3,5,6,8],[2,4],[7]]=>8
[4,2,6,7,5,1,8,3]=>[[1,3,4,7],[2,5],[6,8]]=>14
[4,7,2,5,3,8,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[3,5,7,4,2,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[2,4,7,6,3,8,1,5]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[4,6,8,5,1,2,3,7]=>[[1,2,3,8],[4,6,7],[5]]=>13
[4,6,5,7,1,2,3,8]=>[[1,2,4,8],[3,6,7],[5]]=>12
[4,6,5,7,1,3,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[3,4,7,6,1,8,2,5]=>[[1,2,3,6],[4,7,8],[5]]=>15
[8,5,2,1,6,3,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[7,1,8,5,3,2,4,6]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[10,8,5,2,1,6,3,4,7,9]=>[[1,6,8,9,10],[2,7],[3],[4],[5]]=>11
[9,5,2,1,10,6,3,4,7,8]=>[[1,5,8,9,10],[2,6],[3,7],[4]]=>9
[10,7,2,1,8,5,3,4,6,9]=>[[1,5,8,9,10],[2,6],[3,7],[4]]=>9
[10,6,2,1,7,3,8,4,5,9]=>[[1,5,7,9,10],[2,6,8],[3],[4]]=>8
[9,2,1,10,6,3,7,4,5,8]=>[[1,4,7,9,10],[2,5,8],[3,6]]=>7
[7,2,1,8,3,9,4,10,5,6]=>[[1,4,6,8,10],[2,5,7,9],[3]]=>6
[10,8,6,3,1,4,2,5,7,9]=>[[1,6,8,9,10],[2,7],[3],[4],[5]]=>11
[10,7,3,1,8,4,2,5,6,9]=>[[1,5,8,9,10],[2,6],[3,7],[4]]=>9
[8,3,1,9,4,2,10,5,6,7]=>[[1,4,7,9,10],[2,5,8],[3,6]]=>7
[10,8,4,1,5,2,6,3,7,9]=>[[1,5,7,9,10],[2,6,8],[3],[4]]=>8
[9,4,1,10,5,2,6,3,7,8]=>[[1,4,7,9,10],[2,5,8],[3,6]]=>7
[10,5,1,6,2,7,3,8,4,9]=>[[1,4,6,8,10],[2,5,7,9],[3]]=>6
[8,2,7,5,4,1,6,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>15
[4,2,8,5,7,1,6,3]=>[[1,3,5],[2,4],[6,7],[8]]=>19
[6,8,7,4,5,3,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>25
[5,2,6,7,4,8,3,1]=>[[1,3,4,6],[2,5],[7],[8]]=>16
[6,5,8,1,7,3,2,4]=>[[1,3,8],[2,5],[4,6],[7]]=>13
[6,4,8,1,5,2,3,7]=>[[1,3,7,8],[2,5],[4,6]]=>7
[7,2,4,1,6,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>8
[2,6,1,5,3,4,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>10
[3,8,7,5,4,2,6,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>21
[5,7,8,2,3,6,4,1]=>[[1,2,3],[4,5,6],[7],[8]]=>22
[2,8,7,3,1,4,5,6]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[5,6,1,2,4,7,8,3]=>[[1,2,5,6,7],[3,4],[8]]=>11
[9,2,3,4,1,5,6,7,8]=>[[1,3,4,6,7,8,9],[2],[5]]=>5
[3,8,6,7,5,4,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>24
[7,8,5,1,4,6,2,3]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[8,2,7,5,4,6,1,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[8,4,7,6,3,1,2,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>14
[4,6,7,1,3,2,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>15
[6,4,7,5,3,2,8,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[8,4,6,3,1,5,7,2]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[7,3,1,4,5,6,8,2]=>[[1,4,5,6,7],[2,8],[3]]=>7
[6,7,3,4,2,1,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>14
[6,4,8,3,1,5,7,2]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[7,4,2,3,5,1,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[3,1,6,5,2,4,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>8
[2,5,3,8,6,4,1,7]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[5,8,4,1,3,2,7,6]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[5,3,4,7,6,1,8,2]=>[[1,3,4,7],[2,5],[6,8]]=>14
[4,5,2,1,6,3,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>12
[4,5,2,1,6,7,3,8]=>[[1,2,5,6,8],[3,7],[4]]=>9
[5,3,8,6,2,4,7,1]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[2,5,1,6,4,3,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>14
[3,6,2,8,5,7,1,4]=>[[1,2,4],[3,5,6],[7,8]]=>20
[4,6,8,1,5,7,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>21
[4,1,2,5,7,6,3,8]=>[[1,3,4,5,8],[2,6],[7]]=>10
[4,6,5,8,1,7,3,2]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[2,1,3,6,4,8,7,5]=>[[1,3,4,6],[2,5,7],[8]]=>13
[4,8,1,2,7,5,6,3]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[1,6,4,3,8,7,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[4,5,1,6,8,7,2,3]=>[[1,2,4,5],[3,6,8],[7]]=>16
[2,5,1,8,6,4,7,3]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[2,5,8,7,3,1,4,6]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[9,8,7,4,3,2,1,5,6]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>21
[9,8,7,6,3,2,1,4,5]=>[[1,8,9],[2],[3],[4],[5],[6],[7]]=>21
[3,8,7,2,6,1,4,5]=>[[1,2,8],[3,5],[4,7],[6]]=>15
[8,4,5,1,6,7,2,3]=>[[1,3,5,6],[2,7,8],[4]]=>10
[8,4,7,3,1,5,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[2,5,1,8,3,6,4,7]=>[[1,2,4,8],[3,5,6],[7]]=>14
[5,8,4,7,3,2,1,6]=>[[1,2],[3,4],[5,8],[6],[7]]=>23
[4,3,8,6,1,2,5,7]=>[[1,3,7,8],[2,4],[5,6]]=>10
[4,8,6,5,7,1,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[7,2,3,5,6,8,4,1]=>[[1,3,4,5,6],[2],[7],[8]]=>14
[5,8,1,3,4,7,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>16
[8,3,4,2,7,6,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[8,7,5,6,4,1,3,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>20
[8,7,4,2,3,6,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[8,4,2,3,7,6,5,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[7,2,4,5,3,1,6,8]=>[[1,3,4,7,8],[2],[5],[6]]=>10
[7,6,3,1,4,5,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[5,4,1,7,8,6,2,3]=>[[1,4,5],[2,6,8],[3,7]]=>10
[5,3,4,7,8,1,6,2]=>[[1,3,4,5],[2,7],[6,8]]=>13
[4,3,7,6,5,1,8,2]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[5,1,4,8,2,3,7,6]=>[[1,3,4,7],[2,6],[5,8]]=>11
[3,2,8,5,4,1,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[6,1,2,9,3,4,5,7,8]=>[[1,3,4,6,7,8,9],[2,5]]=>3
[4,1,2,3,5,9,6,7,8]=>[[1,3,4,5,6,8,9],[2,7]]=>5
[3,1,2,4,5,6,9,7,8]=>[[1,3,4,5,6,7,9],[2,8]]=>6
[1,2,8,3,4,6,5,7]=>[[1,2,3,5,6,8],[4],[7]]=>9
[8,1,2,7,3,5,4,6]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[5,7,1,2,6,3,4,8]=>[[1,2,5,7,8],[3,4],[6]]=>9
[1,2,7,5,6,3,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>12
[5,1,4,7,2,3,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>7
[4,8,1,2,3,6,5,7]=>[[1,2,5,6,8],[3,4],[7]]=>10
[1,3,4,2,5,6,7,8,9]=>[[1,2,3,5,6,7,8,9],[4]]=>3
[1,2,4,5,6,3,7,8,9]=>[[1,2,3,4,5,7,8,9],[6]]=>5
[1,2,3,5,6,7,8,4,9]=>[[1,2,3,4,5,6,7,9],[8]]=>7
[2,1,5,3,6,7,4,8,9]=>[[1,3,5,6,8,9],[2,4,7]]=>4
[1,3,5,6,4,2,7,8,9]=>[[1,2,3,4,7,8,9],[5],[6]]=>9
[1,3,4,6,7,2,8,5,9]=>[[1,2,3,4,5,7,9],[6,8]]=>11
[2,4,6,8,1,9,7,5,3]=>[[1,2,3,4,6],[5,7],[8],[9]]=>24
[1,3,4,2,5,6,7,8,9,10]=>[[1,2,3,5,6,7,8,9,10],[4]]=>3
[1,2,4,5,6,3,7,8,9,10]=>[[1,2,3,4,5,7,8,9,10],[6]]=>5
[1,2,3,5,6,7,8,4,9,10]=>[[1,2,3,4,5,6,7,9,10],[8]]=>7
[1,3,4,6,7,2,8,5,9,10]=>[[1,2,3,4,5,7,9,10],[6,8]]=>11
[3,5,7,9,2,1,10,8,6,4]=>[[1,2,3,4,7],[5,8],[6,9],[10]]=>29
[6,2,3,8,7,1,4,5]=>[[1,3,4,8],[2,5],[6,7]]=>13
[8,2,3,6,4,7,5,1]=>[[1,3,4,6],[2,7],[5],[8]]=>15
[7,2,3,6,4,8,1,5]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[5,4,1,6,2,7,8,3]=>[[1,4,6,7],[2,5,8],[3]]=>6
[7,1,3,5,4,2,8,6]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[7,6,8,2,4,5,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[4,2,8,6,5,1,3,7]=>[[1,3,8],[2,4],[5,7],[6]]=>15
[3,8,5,4,7,1,2,6]=>[[1,2,5],[3,7,8],[4],[6]]=>16
[1,4,8,3,6,2,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>17
[6,3,2,4,8,7,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>14
[8,3,2,7,4,1,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[7,3,2,6,5,8,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[3,6,2,5,7,4,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[2,7,1,5,8,6,4,3]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[7,2,4,1,6,8,5,3]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[6,4,7,2,3,8,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[6,1,8,5,7,4,2,3]=>[[1,3,5],[2,4],[6,8],[7]]=>18
[7,1,4,3,6,5,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[7,1,5,6,3,4,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[6,1,8,5,4,7,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[7,6,1,5,4,2,8,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[5,1,6,8,7,2,4,3]=>[[1,3,4],[2,5,7],[6],[8]]=>17
[4,6,7,5,3,1,8,2]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[5,3,2,6,8,7,4,1]=>[[1,4,5],[2,6],[3,7],[8]]=>15
[5,4,6,2,8,7,3,1]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[4,5,8,6,7,2,3,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[4,5,7,6,1,2,8,3]=>[[1,2,3,7],[4,6,8],[5]]=>14
[4,6,5,7,2,1,8,3]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[2,5,4,9,6,10,8,7,3,1]=>[[1,2,4,6],[3,5,7],[8],[9],[10]]=>33
[2,4,6,7,8,9,10,5,3,1]=>[[1,2,3,4,5,6,7],[8],[9],[10]]=>24
[7,4,8,6,3,5,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>22
[7,2,4,3,6,1,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>12
[2,3,4,7,8,6,1,5]=>[[1,2,3,4,5],[6,8],[7]]=>16
[6,3,7,1,4,2,8,5]=>[[1,3,7],[2,5,8],[4,6]]=>8
[4,6,3,5,1,8,2,7]=>[[1,2,6],[3,4,8],[5,7]]=>14
[8,5,7,6,2,3,4,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[3,5,6,7,8,9,2,4,1]=>[[1,2,3,4,5,6],[7,8],[9]]=>20
[3,4,6,7,8,2,5,1]=>[[1,2,3,4,5],[6,7],[8]]=>17
[2,4,6,7,8,9,1,3,5]=>[[1,2,3,4,5,6],[7,8,9]]=>18
[2,5,6,7,3,8,1,4]=>[[1,2,3,4,6],[5,8],[7]]=>15
[5,8,4,6,2,1,7,3]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[1,6,8,3,4,2,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>17
[4,1,7,6,2,8,3,5]=>[[1,3,6,8],[2,4,7],[5]]=>7
[4,1,8,2,7,5,3,6]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[4,1,7,2,8,5,3,6]=>[[1,3,5,8],[2,4,6],[7]]=>9
[2,5,6,3,7,4,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>14
[2,6,5,3,8,4,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[2,6,5,3,7,4,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[7,1,6,3,5,4,8,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[5,7,3,2,8,4,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[2,8,6,1,7,5,3,4]=>[[1,2,5],[3,6,8],[4],[7]]=>17
[8,1,5,2,7,4,3,6]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[7,1,4,2,8,5,3,6]=>[[1,3,5,8],[2,6],[4,7]]=>9
[2,6,8,1,7,5,3,4]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[1,4,6,5,3,8,2,7]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[2,4,5,8,7,1,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>17
[3,1,6,8,7,5,4,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[3,1,8,7,5,6,4,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[5,1,8,7,6,3,4,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[8,2,7,5,3,6,4,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[8,7,2,3,1,5,6,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[2,8,5,7,6,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[1,8,7,2,6,4,5,3]=>[[1,2,5,7],[3],[4],[6],[8]]=>17
[8,7,2,1,6,4,5,3]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[1,8,4,7,6,2,5,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[8,7,1,6,4,3,5,2]=>[[1,4,7],[2],[3],[5],[6],[8]]=>19
[8,4,1,7,3,6,5,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[1,3,6,7,8,9,2,4,5]=>[[1,2,3,4,5,6],[7,8,9]]=>18
[4,5,1,8,7,3,6,2]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[3,8,5,2,6,7,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[3,6,4,7,5,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[5,7,4,1,2,6,8,3]=>[[1,2,6,7],[3,5],[4,8]]=>12
[2,8,6,7,5,3,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>20
[7,4,5,2,6,3,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[8,6,3,4,5,1,7,2]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[8,6,3,5,4,1,7,2]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[8,7,4,5,1,3,6,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[8,6,2,5,3,1,4,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>12
[8,4,7,3,1,2,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>9
[8,7,3,5,1,6,4,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>16
[4,8,3,2,6,1,7,5]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[4,3,7,6,1,5,2,8]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[7,5,4,3,6,1,8,2]=>[[1,5,7],[2,8],[3],[4],[6]]=>13
[4,6,8,5,3,1,2,7]=>[[1,2,3],[4,7,8],[5],[6]]=>18
[5,6,8,4,3,7,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[7,5,8,4,2,1,6,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[1,4,8,7,6,2,5,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[7,2,4,1,5,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>9
[8,5,3,4,1,7,2,6]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[2,8,5,4,3,6,1,7]=>[[1,2,6,8],[3],[4],[5],[7]]=>15
[8,6,5,3,1,2,7,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>12
[7,4,6,5,3,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>20
[5,6,7,2,3,8,4,1]=>[[1,2,3,6],[4,5,7],[8]]=>17
[8,4,2,6,5,7,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[1,7,4,2,8,5,6,3]=>[[1,2,5,7],[3,6],[4,8]]=>13
[3,2,1,7,4,6,8,5]=>[[1,4,6,7],[2,5],[3,8]]=>8
[6,2,5,7,1,4,3,8]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[4,8,5,3,1,2,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[8,5,2,4,6,1,3,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[1,5,3,4,7,2,6,8]=>[[1,2,4,5,8],[3,7],[6]]=>11
[8,4,6,1,5,7,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[6,4,7,2,1,3,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[6,7,3,1,2,4,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>9
[3,1,8,7,6,2,5,4]=>[[1,3,7],[2,4],[5],[6],[8]]=>18
[1,3,8,6,7,2,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[5,2,3,6,1,8,4,7]=>[[1,3,4,6],[2,7,8],[5]]=>11
[3,2,6,4,7,1,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>8
[3,6,2,5,7,8,4,1]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[2,7,4,6,8,3,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[3,7,6,8,1,5,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[1,5,7,6,8,4,2,3]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[2,7,4,6,8,5,3,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[3,7,6,8,5,1,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[7,1,3,8,6,2,4,5]=>[[1,3,4,8],[2,5],[6,7]]=>13
[2,7,1,8,6,5,3,4]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[2,3,4,5,7,6,8,9,1]=>[[1,2,3,4,5,7,8],[6],[9]]=>13
[2,3,4,5,7,8,6,9,1]=>[[1,2,3,4,5,6,8],[7],[9]]=>14
[2,3,4,5,7,9,8,6,1]=>[[1,2,3,4,5,6],[7],[8],[9]]=>21
[8,1,5,2,6,4,7,3]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[5,3,4,7,6,2,1,8]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[4,1,8,5,7,2,6,3]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[4,1,8,2,7,5,6,3]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[7,6,8,2,4,3,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[7,4,5,3,8,1,6,2]=>[[1,3,5],[2,7],[4,8],[6]]=>14
[7,3,6,1,4,2,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[8,7,2,6,4,5,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>15
[1,2,3,4,7,9,5,6,8]=>[[1,2,3,4,5,6,9],[7,8]]=>12
[1,2,3,4,6,7,9,5,8]=>[[1,2,3,4,5,6,7],[8,9]]=>14
[1,2,3,4,8,5,6,9,7]=>[[1,2,3,4,5,7,8],[6,9]]=>12
[1,2,3,4,7,8,5,9,6]=>[[1,2,3,4,5,6,8],[7,9]]=>13
[7,1,4,6,8,5,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>19
[7,2,5,1,6,4,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[2,7,1,5,6,4,8,3]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[1,5,7,8,4,6,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>21
[1,4,8,5,7,6,3,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>21
[2,8,1,5,6,4,7,3]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[3,7,2,8,1,5,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>17
[7,3,2,5,1,6,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[8,7,2,1,3,6,5,4]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[7,3,2,8,1,4,6,5]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[3,6,2,1,8,4,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>16
[3,5,1,7,6,4,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[8,7,4,2,1,6,5,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>13
[5,4,7,6,2,1,8,3]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[3,5,2,8,7,1,6,4]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[3,7,6,5,4,1,8,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[4,6,5,3,1,8,7,2]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[4,5,2,6,7,3,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>13
[9,3,10,1,2,4,5,6,7,8]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>5
[10,3,1,9,2,4,5,6,7,8]=>[[1,4,6,7,8,9,10],[2,5],[3]]=>4
[8,6,7,4,3,1,5,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>16
[4,7,1,8,5,3,2,6]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[8,6,7,1,4,3,5,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[8,6,7,2,1,3,5,4]=>[[1,3,7],[2,6],[4,8],[5]]=>12
[8,5,6,1,7,4,2,3]=>[[1,3,5],[2,6,8],[4],[7]]=>14
[6,4,1,2,5,7,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>7
[6,1,5,4,2,7,3,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[6,4,2,3,1,7,5,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[3,4,6,1,8,2,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>18
[5,3,1,4,7,6,2,8]=>[[1,4,5,8],[2,6],[3,7]]=>8
[6,4,5,2,7,1,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[7,4,3,5,1,6,2,8]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[7,5,3,6,2,1,4,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>13
[6,4,3,7,1,8,2,5]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[3,1,2,7,6,4,5,8]=>[[1,3,4,7,8],[2,5],[6]]=>8
[5,1,2,7,6,3,4,8]=>[[1,3,4,7,8],[2,5],[6]]=>8
[5,6,1,7,2,4,3,8]=>[[1,2,4,8],[3,5,6],[7]]=>14
[3,5,6,8,1,2,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>19
[2,6,5,7,1,3,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>12
[2,3,7,1,5,6,4,8]=>[[1,2,3,6,8],[4,5],[7]]=>12
[2,6,5,3,4,1,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>10
[2,6,1,3,5,4,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>9
[4,6,1,5,2,8,7,3]=>[[1,2,6],[3,4,7],[5,8]]=>15
[6,1,5,4,2,7,8,3]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[4,6,1,5,2,7,8,3]=>[[1,2,6,7],[3,4,8],[5]]=>10
[2,8,6,5,1,3,7,4]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[5,1,8,6,2,7,4,3]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[3,6,8,2,7,5,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>22
[5,6,4,1,7,2,8,3]=>[[1,2,5,7],[3,6,8],[4]]=>12
[3,8,6,1,5,7,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[8,1,6,3,4,2,5,7]=>[[1,3,5,7,8],[2],[4],[6]]=>9
[7,4,2,3,1,6,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[1,6,4,5,7,3,2,8]=>[[1,2,4,5,8],[3],[6],[7]]=>13
[1,6,4,5,7,2,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>12
[1,7,5,6,4,8,3,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>19
[1,5,6,7,3,2,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>13
[8,2,4,3,1,7,5,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[8,2,1,4,3,7,5,6]=>[[1,4,6,8],[2,5,7],[3]]=>5
[7,6,8,2,1,5,3,4]=>[[1,3,8],[2,6],[4,7],[5]]=>11
[8,6,2,5,1,3,7,4]=>[[1,4,7],[2,6,8],[3],[5]]=>9
[5,7,2,6,4,1,8,3]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[4,5,6,1,3,8,2,7]=>[[1,2,3,6],[4,5,8],[7]]=>16
[6,3,5,7,4,2,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>17
[7,6,4,8,5,3,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>17
[8,2,1,6,4,7,3,5]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[1,3,8,6,5,2,7,4]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[2,7,3,8,5,6,4,1]=>[[1,2,4,6],[3,5],[7],[8]]=>18
[1,2,8,5,7,4,6,3]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[1,6,8,5,4,7,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>20
[5,7,1,8,3,2,6,4]=>[[1,2,4],[3,5,7],[6,8]]=>19
[8,2,5,4,3,7,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[5,8,4,3,7,6,2,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>23
[8,1,5,3,4,7,2,6]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[6,1,8,7,4,5,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>19
[1,5,8,6,4,3,7,2]=>[[1,2,3,7],[4],[5],[6],[8]]=>19
[5,8,6,4,2,1,7,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[2,6,1,8,4,7,5,3]=>[[1,2,4],[3,5,6],[7],[8]]=>21
[5,3,8,6,1,2,7,4]=>[[1,3,7],[2,4,8],[5,6]]=>11
[5,8,1,4,6,2,7,3]=>[[1,2,5,7],[3,4],[6,8]]=>15
[3,7,6,2,1,4,8,5]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[4,6,2,3,7,1,8,5]=>[[1,2,5,7],[3,4,8],[6]]=>11
[6,8,7,5,1,3,4,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[6,4,3,2,7,8,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[2,7,6,1,5,3,8,4]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[7,8,6,4,2,5,3,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[6,4,5,8,7,1,3,2]=>[[1,3,4],[2,5],[6,7],[8]]=>20
[6,4,1,7,8,3,2,5]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[2,3,4,5,8,6,7,9,1]=>[[1,2,3,4,5,7,8],[6],[9]]=>13
[2,6,3,4,5,7,8,9,10,1]=>[[1,2,4,5,6,7,8,9],[3],[10]]=>11
[6,4,3,8,7,2,5,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[5,4,7,2,1,3,8,6]=>[[1,3,7],[2,6,8],[4],[5]]=>10
[2,6,4,5,7,1,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>12
[3,7,4,6,1,5,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[3,4,6,5,2,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[4,6,7,5,8,2,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>18
[2,5,7,6,4,1,8,3]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[5,1,4,6,2,7,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>9
[1,2,5,3,7,8,6,4]=>[[1,2,3,5,6],[4,7],[8]]=>15
[4,8,3,5,1,2,7,6]=>[[1,2,7],[3,4,8],[5,6]]=>13
[6,1,3,7,2,8,4,5]=>[[1,3,4,6],[2,7,8],[5]]=>11
[3,8,5,4,1,7,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>15
[3,1,5,8,2,6,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>12
[2,8,5,3,1,7,4,6]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[6,5,2,3,7,1,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>11
[7,2,1,6,4,8,3,5]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[2,1,3,7,5,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>12
[6,2,4,5,7,1,8,3]=>[[1,3,4,5,7],[2,8],[6]]=>10
[2,3,8,7,1,4,6,5]=>[[1,2,3,7],[4,6],[5],[8]]=>17
[4,2,7,5,6,8,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>14
[2,1,3,4,5,8,6,7,9]=>[[1,3,4,5,6,8,9],[2,7]]=>5
[6,8,2,5,4,7,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>21
[9,2,3,4,5,1,6,7,8]=>[[1,3,4,5,7,8,9],[2],[6]]=>6
[3,2,9,1,4,5,6,7,8]=>[[1,3,6,7,8,9],[2,5],[4]]=>5
[5,3,2,7,6,1,8,4]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[5,6,4,2,8,7,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[5,7,4,2,6,1,8,3]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[5,4,7,1,6,2,8,3]=>[[1,3,7],[2,5,8],[4,6]]=>8
[4,5,8,7,6,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[6,4,7,1,2,3,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>7
[4,5,6,8,2,9,3,10,7,1]=>[[1,2,3,4,6,8],[5,7,9],[10]]=>24
[1,8,7,2,3,4,6,5]=>[[1,2,5,6,7],[3],[4],[8]]=>12
[1,8,3,7,6,2,5,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[1,3,8,2,5,6,4,7]=>[[1,2,3,6,8],[4,5],[7]]=>12
[1,3,2,7,4,6,8,5]=>[[1,2,4,6,7],[3,5],[8]]=>12
[1,3,8,4,6,2,7,5]=>[[1,2,3,5,7],[4,8],[6]]=>13
[8,2,3,6,7,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[5,6,4,2,1,7,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[2,5,7,6,3,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>18
[6,4,7,1,2,5,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>8
[1,2,7,5,8,6,3,4]=>[[1,2,3,5],[4,6],[7,8]]=>19
[7,4,5,1,6,8,2,3]=>[[1,3,5,6],[2,7,8],[4]]=>10
[1,7,8,4,2,6,3,5]=>[[1,2,3,8],[4,6],[5,7]]=>14
[6,3,2,5,7,4,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[6,2,1,5,3,7,8,4]=>[[1,4,6,7],[2,5,8],[3]]=>6
[6,2,5,1,3,8,7,4]=>[[1,3,6],[2,5,7],[4,8]]=>10
[6,2,8,5,1,3,7,4]=>[[1,3,7],[2,4,8],[5,6]]=>11
[9,4,10,8,3,7,2,6,1,5]=>[[1,3],[2,4],[5,6],[7,8],[9,10]]=>38
[11,5,12,10,4,9,3,8,2,7,1,6]=>[[1,3],[2,4],[5,6],[7,8],[9,10],[11,12]]=>58
[4,1,7,8,3,6,5,2]=>[[1,3,4],[2,5,6],[7],[8]]=>18
[6,4,2,1,7,3,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[5,8,4,2,1,3,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[4,5,3,6,7,8,9,1,2]=>[[1,2,4,5,6,7],[3,9],[8]]=>15
[1,7,5,8,4,3,6,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[5,8,1,6,4,7,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[2,4,7,5,1,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>16
[2,3,7,1,8,5,6,4]=>[[1,2,3,5],[4,6,7],[8]]=>18
[6,5,1,2,7,4,8,3]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[3,6,5,7,8,2,4,1]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[3,6,5,1,8,7,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>19
[7,8,1,2,5,4,3,6]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[2,8,4,3,5,1,7,6]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[5,2,4,7,6,8,1,3]=>[[1,3,4,6],[2,5],[7,8]]=>15
[3,1,5,7,4,8,6,2]=>[[1,3,4,6],[2,5,7],[8]]=>13
[4,1,7,6,8,2,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>15
[7,2,6,4,1,5,3,8]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[1,2,6,5,8,3,7,4]=>[[1,2,3,5],[4,7],[6,8]]=>17
[7,3,5,6,1,4,2,8]=>[[1,3,4,8],[2,6],[5],[7]]=>13
[5,8,3,1,6,7,4,2]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[4,5,8,1,7,3,6,2]=>[[1,2,3],[4,5,7],[6],[8]]=>21
[4,7,1,6,8,5,2,3]=>[[1,2,5],[3,4,8],[6],[7]]=>16
[5,8,7,1,6,4,2,3]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[1,7,3,8,2,5,4,6]=>[[1,2,4,8],[3,6],[5,7]]=>13
[8,4,1,3,6,7,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[5,3,1,8,6,7,4,2]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[6,2,7,1,4,3,5,8]=>[[1,3,7,8],[2,5],[4,6]]=>7
[9,5,4,3,2,1,6,7,8]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>15
[10,3,4,1,2,5,6,7,8,9]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>5
[8,3,2,6,5,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>12
[2,6,8,4,7,1,3,5]=>[[1,2,3],[4,5,8],[6,7]]=>19
[7,8,6,3,2,5,4,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>21
[1,6,4,8,2,3,5,7]=>[[1,2,4,7,8],[3,6],[5]]=>9
[2,8,5,6,4,1,7,3]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[1,4,7,3,5,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>17
[3,7,8,2,5,1,6,4]=>[[1,2,3],[4,5,7],[6,8]]=>20
[8,6,1,4,3,2,7,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>14
[7,3,8,2,4,1,5,6]=>[[1,3,7,8],[2,5],[4],[6]]=>10
[6,3,7,8,1,2,5,4]=>[[1,3,4],[2,6,7],[5,8]]=>13
[7,6,1,5,2,3,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[5,1,8,6,7,2,3,4]=>[[1,3,5,8],[2,4,7],[6]]=>8
[5,7,1,6,8,2,3,4]=>[[1,2,5,8],[3,4,7],[6]]=>10
[6,8,4,2,1,7,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>14
[6,3,2,8,1,7,4,5]=>[[1,4,8],[2,6],[3,7],[5]]=>10
[6,4,1,3,7,8,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[6,8,5,4,3,7,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>20
[5,7,4,8,3,1,2,6]=>[[1,2,4],[3,7,8],[5],[6]]=>17
[6,1,2,4,8,3,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>13
[2,5,6,8,1,4,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>19
[7,4,1,6,5,2,3,8]=>[[1,4,7,8],[2,5],[3],[6]]=>9
[4,1,6,5,2,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>8
[4,5,1,7,8,6,2,3]=>[[1,2,4,5],[3,6,8],[7]]=>16
[8,5,7,3,4,6,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[6,8,7,4,3,5,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>24
[6,8,7,5,3,4,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>24
[5,8,6,2,4,7,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[4,8,6,2,5,7,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[1,6,4,7,5,3,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[1,6,5,3,2,7,4,8]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[1,6,8,7,4,5,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[1,4,7,5,3,2,6,8]=>[[1,2,3,7,8],[4],[5],[6]]=>12
[1,7,5,4,3,2,8,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[1,4,7,5,3,2,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>16
[1,7,4,6,8,5,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>20
[6,8,7,2,3,5,4,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[5,7,6,1,8,2,4,3]=>[[1,2,5],[3,6,7],[4],[8]]=>18
[4,8,6,5,7,2,3,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>20
[2,7,8,5,1,4,3,6]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[8,5,6,2,4,7,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>18
[8,1,3,6,4,5,2,7]=>[[1,3,4,6,8],[2],[5],[7]]=>11
[1,2,3,7,4,8,5,9,6]=>[[1,2,3,4,6,8],[5,7,9]]=>15
[1,2,3,4,7,5,9,8,6]=>[[1,2,3,4,5,7],[6,8],[9]]=>19
[1,2,6,3,7,4,9,8,5]=>[[1,2,3,5,7],[4,6,8],[9]]=>20
[1,2,3,8,6,4,9,7,5]=>[[1,2,3,4,7],[5,8],[6,9]]=>20
[1,2,3,6,4,9,8,7,5]=>[[1,2,3,4,6],[5,7],[8],[9]]=>24
[5,1,6,2,7,3,9,8,4]=>[[1,3,5,7],[2,4,6,8],[9]]=>12
[1,5,2,8,6,3,9,7,4]=>[[1,2,4,7],[3,5,8],[6,9]]=>21
[1,5,2,6,3,9,8,7,4]=>[[1,2,4,6],[3,5,7],[8],[9]]=>24
[1,2,7,5,3,9,8,6,4]=>[[1,2,3,6],[4,7],[5,8],[9]]=>24
[1,2,5,3,9,8,7,6,4]=>[[1,2,3,5],[4,6],[7],[8],[9]]=>28
[4,1,7,5,2,9,8,6,3]=>[[1,3,6],[2,4,7],[5,8],[9]]=>21
[4,1,5,2,9,8,7,6,3]=>[[1,3,5],[2,4,6],[7],[8],[9]]=>24
[1,6,4,2,9,8,7,5,3]=>[[1,2,5],[3,6],[4,7],[8],[9]]=>27
[1,4,2,9,8,7,6,5,3]=>[[1,2,4],[3,5],[6],[7],[8],[9]]=>31
[7,5,3,1,9,8,6,4,2]=>[[1,5],[2,6],[3,7],[4,8],[9]]=>20
[5,3,1,9,8,7,6,4,2]=>[[1,4],[2,5],[3,6],[7],[8],[9]]=>27
[1,2,3,4,8,5,9,6,10,7]=>[[1,2,3,4,5,7,9],[6,8,10]]=>18
[1,2,3,4,5,8,6,10,9,7]=>[[1,2,3,4,5,6,8],[7,9],[10]]=>22
[1,2,3,7,4,8,5,10,9,6]=>[[1,2,3,4,6,8],[5,7,9],[10]]=>24
[1,2,3,4,9,7,5,10,8,6]=>[[1,2,3,4,5,8],[6,9],[7,10]]=>24
[1,2,3,4,7,5,10,9,8,6]=>[[1,2,3,4,5,7],[6,8],[9],[10]]=>28
[1,6,2,7,3,8,4,10,9,5]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>23
[1,2,6,3,9,7,4,10,8,5]=>[[1,2,3,5,8],[4,6,9],[7,10]]=>26
[1,2,6,3,7,4,10,9,8,5]=>[[1,2,3,5,7],[4,6,8],[9],[10]]=>29
[1,2,3,8,6,4,10,9,7,5]=>[[1,2,3,4,7],[5,8],[6,9],[10]]=>29
[1,2,3,6,4,10,9,8,7,5]=>[[1,2,3,4,6],[5,7],[8],[9],[10]]=>33
[5,1,6,2,9,7,3,10,8,4]=>[[1,3,5,8],[2,4,6,9],[7,10]]=>18
[5,1,6,2,7,3,10,9,8,4]=>[[1,3,5,7],[2,4,6,8],[9],[10]]=>21
[1,5,2,6,3,10,9,8,7,4]=>[[1,2,4,6],[3,5,7],[8],[9],[10]]=>33
[1,2,7,5,3,10,9,8,6,4]=>[[1,2,3,6],[4,7],[5,8],[9],[10]]=>33
[1,2,5,3,10,9,8,7,6,4]=>[[1,2,3,5],[4,6],[7],[8],[9],[10]]=>37
[7,4,1,8,5,2,10,9,6,3]=>[[1,4,7],[2,5,8],[3,6,9],[10]]=>18
[4,1,9,7,5,2,10,8,6,3]=>[[1,3,7],[2,4,8],[5,9],[6,10]]=>25
[4,1,7,5,2,10,9,8,6,3]=>[[1,3,6],[2,4,7],[5,8],[9],[10]]=>30
[4,1,5,2,10,9,8,7,6,3]=>[[1,3,5],[2,4,6],[7],[8],[9],[10]]=>33
[1,8,6,4,2,10,9,7,5,3]=>[[1,2,6],[3,7],[4,8],[5,9],[10]]=>30
[1,6,4,2,10,9,8,7,5,3]=>[[1,2,5],[3,6],[4,7],[8],[9],[10]]=>36
[1,4,2,10,9,8,7,6,5,3]=>[[1,2,4],[3,5],[6],[7],[8],[9],[10]]=>40
[7,5,3,1,10,9,8,6,4,2]=>[[1,5],[2,6],[3,7],[4,8],[9],[10]]=>29
[5,3,1,10,9,8,7,6,4,2]=>[[1,4],[2,5],[3,6],[7],[8],[9],[10]]=>36
[4,3,1,6,2,5,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>6
[7,5,2,1,8,4,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>9
[5,3,1,4,7,8,2,6]=>[[1,4,5,6],[2,7,8],[3]]=>9
[7,1,2,4,8,3,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>9
[8,6,1,3,5,7,4,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[7,1,5,8,2,3,4,6]=>[[1,3,4,7,8],[2,6],[5]]=>7
[3,6,8,5,1,4,2,7]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[5,2,4,1,6,8,3,7]=>[[1,3,5,6],[2,7,8],[4]]=>10
[2,5,3,4,6,8,1,7]=>[[1,2,4,5,6],[3,8],[7]]=>13
[4,7,1,2,5,6,3,8]=>[[1,2,5,6,8],[3,4],[7]]=>10
[6,7,3,1,8,2,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>11
[7,3,1,4,6,2,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>8
[7,4,1,2,5,6,3,8]=>[[1,4,5,6,8],[2,7],[3]]=>6
[5,4,1,3,6,8,7,2]=>[[1,4,5,6],[2,7],[3],[8]]=>13
[5,7,4,8,1,6,3,2]=>[[1,2,4],[3,6],[5,7],[8]]=>20
[4,3,1,2,5,7,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>6
[1,2,3,4,5,8,9,7,6]=>[[1,2,3,4,5,6,7],[8],[9]]=>15
[1,2,3,4,8,9,6,7,5]=>[[1,2,3,4,5,6],[7,8],[9]]=>20
[1,2,4,7,8,5,6,3]=>[[1,2,3,4,5],[6,7],[8]]=>17
[1,2,8,9,4,5,6,7,3]=>[[1,2,3,4,7,8],[5,6],[9]]=>16
[8,3,6,5,7,4,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22
[8,2,6,5,7,4,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>22
[8,4,7,1,5,2,6,3]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[8,2,6,3,7,5,4,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[8,2,5,3,7,6,4,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[8,5,7,1,4,3,6,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[5,3,1,8,4,2,6,7]=>[[1,4,7,8],[2,5],[3,6]]=>6
[2,1,6,5,8,7,3,4]=>[[1,3,5],[2,4,6],[7,8]]=>15
[6,1,5,4,7,3,8,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[3,1,8,4,2,7,6,5]=>[[1,3,6],[2,4,7],[5],[8]]=>14
[2,8,7,4,1,3,6,5]=>[[1,2,7],[3,6,8],[4],[5]]=>12
[8,2,3,1,7,6,4,5]=>[[1,3,5,8],[2,6],[4],[7]]=>12
[8,7,2,3,1,6,4,5]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[7,2,5,8,3,1,4,6]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[6,8,2,3,1,7,4,5]=>[[1,2,6,8],[3,4],[5,7]]=>13
[8,2,5,7,3,1,4,6]=>[[1,3,4,8],[2,7],[5],[6]]=>12
[8,2,7,3,1,4,5,6]=>[[1,3,6,7,8],[2],[4],[5]]=>8
[5,3,2,8,7,1,6,4]=>[[1,4],[2,5],[3,7],[6,8]]=>14
[8,6,7,4,1,3,5,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[4,1,3,6,5,2,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>11
[4,6,3,2,5,1,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>13
[4,8,3,2,6,5,7,1]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[4,8,3,6,5,2,7,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[8,1,6,2,5,4,7,3]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[2,4,3,8,6,1,7,5]=>[[1,2,4,7],[3,5],[6,8]]=>16
[2,6,3,8,5,4,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>17
[6,1,3,2,5,8,7,4]=>[[1,3,5,6],[2,7],[4,8]]=>11
[6,8,4,2,5,3,7,1]=>[[1,2,7],[3,5],[4,6],[8]]=>17
[6,8,4,3,5,2,7,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[8,1,4,6,5,3,7,2]=>[[1,3,4,7],[2],[5],[6],[8]]=>17
[3,5,4,6,1,2,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>13
[7,3,5,6,1,8,2,4]=>[[1,3,4,6],[2,7,8],[5]]=>11
[5,7,6,3,4,2,8,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[4,6,7,2,3,5,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>16
[6,5,4,8,7,2,3,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>18
[4,8,7,6,5,3,2,1,9]=>[[1,2,9],[3],[4],[5],[6],[7],[8]]=>27
[5,9,8,7,6,4,3,2,1,10]=>[[1,2,10],[3],[4],[5],[6],[7],[8],[9]]=>35
[5,7,4,3,6,2,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[1,2,8,3,4,5,6,9,7]=>[[1,2,3,5,6,7,8],[4,9]]=>10
[1,5,2,9,3,10,4,6,7,8]=>[[1,2,4,6,8,9,10],[3,5,7]]=>9
[1,8,5,6,2,3,7,4]=>[[1,2,4,7],[3,6,8],[5]]=>13
[8,5,6,1,3,2,7,4]=>[[1,3,7],[2,5,8],[4],[6]]=>11
[5,3,7,8,2,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[4,5,8,3,6,1,7,2]=>[[1,2,3,7],[4,5],[6,8]]=>17
[4,5,8,7,2,3,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>19
[8,2,6,4,3,7,5,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[6,3,1,8,7,4,5,2]=>[[1,4,7],[2,5],[3,6],[8]]=>13
[8,6,3,2,7,4,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[1,3,6,8,7,4,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>20
[5,7,1,3,6,2,4,8]=>[[1,2,5,8],[3,4],[6,7]]=>14
[4,7,5,2,3,6,8,1]=>[[1,2,6,7],[3,5],[4],[8]]=>14
[3,6,4,1,2,5,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>7
[4,7,1,3,2,5,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>10
[4,7,1,3,2,6,8,5]=>[[1,2,6,7],[3,4],[5,8]]=>14
[5,7,1,3,6,2,8,4]=>[[1,2,5,7],[3,4],[6,8]]=>15
[6,8,2,5,7,3,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[4,8,5,2,3,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[5,8,6,3,4,7,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>20
[3,7,5,4,2,8,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[4,6,5,1,7,8,2,3]=>[[1,2,5,6],[3,7,8],[4]]=>13
[4,7,1,3,2,8,5,6]=>[[1,2,6,8],[3,4,7],[5]]=>9
[3,6,5,1,8,2,4,7]=>[[1,2,5,8],[3,6,7],[4]]=>11
[5,8,7,3,4,2,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[8,5,2,3,7,4,6,1]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[6,3,1,5,4,8,2,7]=>[[1,4,6],[2,5,8],[3],[7]]=>11
[4,7,6,3,5,2,8,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[1,7,5,3,4,8,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[5,8,2,3,4,7,6,1]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[8,7,3,2,6,4,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>14
[8,3,1,4,7,5,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>11
[5,3,1,6,4,8,7,2]=>[[1,4,6],[2,5,7],[3,8]]=>9
[3,4,8,5,7,2,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[8,5,1,2,7,6,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[10,7,8,1,2,3,4,5,6,9]=>[[1,3,6,7,8,9,10],[2,5],[4]]=>5
[6,7,10,1,2,3,4,5,8,9]=>[[1,2,3,7,8,9,10],[4,5,6]]=>9
[3,7,8,5,6,2,4,1]=>[[1,2,3],[4,5],[6,7],[8]]=>23
[7,4,3,6,2,5,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[4,3,8,7,1,6,2,5]=>[[1,3,8],[2,4],[5,6],[7]]=>16
[1,5,3,8,4,7,2,6]=>[[1,2,4,6],[3,5],[7,8]]=>17
[8,2,3,1,6,5,7,4]=>[[1,3,5,7],[2,6],[4],[8]]=>13
[8,4,2,7,1,3,6,5]=>[[1,4,7],[2,6],[3,8],[5]]=>11
[8,4,2,3,1,6,7,5]=>[[1,4,6,7],[2,8],[3],[5]]=>10
[4,7,2,3,6,5,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[3,8,2,6,4,7,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>15
[1,7,5,8,6,2,4,3]=>[[1,2,4],[3,5],[6,7],[8]]=>22
[6,5,1,7,4,8,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>17
[7,6,3,5,1,4,8,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[6,5,4,1,7,2,3,8]=>[[1,5,7,8],[2,6],[3],[4]]=>7
[8,3,6,1,7,4,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>15
[7,1,2,6,4,8,3,5]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[3,5,1,8,6,2,4,7]=>[[1,2,4,8],[3,5,7],[6]]=>13
[7,6,5,3,2,1,4,8,9]=>[[1,7,8,9],[2],[3],[4],[5],[6]]=>15
[9,8,7,6,4,3,5,1,2]=>[[1,7],[2,9],[3],[4],[5],[6],[8]]=>23
[1,8,7,5,4,6,2,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>18
[8,1,6,7,4,5,3,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[8,1,6,4,7,5,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[6,4,8,1,5,3,7,2]=>[[1,3,7],[2,5],[4,6],[8]]=>14
[1,6,4,3,5,8,2,7]=>[[1,2,5,6],[3,8],[4],[7]]=>15
[5,1,4,3,7,8,6,2]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[5,7,1,8,6,3,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>19
[5,7,6,3,4,2,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>18
[4,1,3,7,6,5,2,8]=>[[1,3,4,8],[2,5],[6],[7]]=>14
[4,3,6,1,2,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>7
[5,8,3,6,7,2,4,1]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[8,1,6,2,5,7,4,3]=>[[1,3,5,6],[2],[4],[7],[8]]=>17
[2,7,1,5,3,6,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>10
[6,8,7,3,4,2,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[1,8,6,2,4,7,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[5,7,3,6,4,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>19
[5,7,3,6,4,1,8,2]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[3,7,5,6,4,1,8,2]=>[[1,2,4,7],[3,8],[5],[6]]=>15
[2,8,5,7,3,4,6,1]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[2,3,6,4,5,1,7,8,9]=>[[1,2,3,5,7,8,9],[4],[6]]=>8
[2,3,4,8,5,6,7,1,9]=>[[1,2,3,4,6,7,9],[5],[8]]=>11
[2,4,3,1,5,6,7,8,9,10]=>[[1,2,5,6,7,8,9,10],[3],[4]]=>5
[2,7,4,9,6,3,10,8,5,1]=>[[1,2,4,7],[3,5,8],[6,9],[10]]=>30
[2,1,3,8,5,4,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>8
[5,3,6,8,2,4,1,7]=>[[1,3,4],[2,6,8],[5],[7]]=>15
[1,7,8,6,3,2,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[7,1,2,5,3,8,4,6]=>[[1,3,4,6,8],[2,7],[5]]=>8
[3,7,4,2,5,1,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[1,8,3,4,5,7,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>13
[4,5,7,6,2,1,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>15
[7,8,2,6,5,4,3,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>26
[5,3,7,8,4,2,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[7,3,6,8,1,5,4,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[7,5,8,2,4,3,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>17
[6,5,8,2,3,4,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[8,1,5,3,4,6,2,7]=>[[1,3,5,6,8],[2],[4],[7]]=>10
[5,8,7,2,4,3,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[1,7,2,4,8,5,6,3]=>[[1,2,4,5,7],[3,6],[8]]=>13
[5,8,2,3,7,4,6,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[7,8,2,3,5,4,6,1]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[8,4,1,3,2,6,5,7]=>[[1,4,6,8],[2,7],[3],[5]]=>9
[8,7,2,3,5,4,6,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>15
[1,7,6,8,4,5,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[2,7,3,1,8,5,6,4]=>[[1,2,5,7],[3,6],[4,8]]=>13
[3,8,5,2,1,6,7,4]=>[[1,2,6,7],[3,8],[4],[5]]=>13
[4,8,7,1,2,5,3,6]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[8,7,2,6,1,4,3,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>14
[6,1,7,3,8,2,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>8
[7,1,8,6,4,2,3,5]=>[[1,3,7,8],[2,4],[5],[6]]=>11
[4,1,3,5,8,2,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>9
[1,8,5,7,4,6,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[1,4,7,6,8,3,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[1,7,2,8,6,5,3,4]=>[[1,2,4,8],[3,5],[6],[7]]=>16
[5,7,1,6,4,2,3,8]=>[[1,2,7,8],[3,4],[5],[6]]=>13
[4,8,2,7,5,1,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>18
[2,8,4,6,7,1,5,3]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[3,8,5,1,4,2,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[1,7,6,2,5,3,8,4]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[1,7,5,2,4,3,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[2,8,5,1,4,3,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>12
[3,1,2,5,7,6,8,4]=>[[1,3,4,5,7],[2,6],[8]]=>11
[5,1,7,3,2,6,8,4]=>[[1,3,6,7],[2,4],[5,8]]=>12
[4,7,2,3,5,1,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>9
[4,8,2,3,7,5,1,6]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[8,7,2,4,3,5,6,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>14
[8,6,2,4,3,5,1,7]=>[[1,4,6,8],[2],[3],[5],[7]]=>13
[8,1,2,4,7,3,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>9
[7,6,2,8,4,5,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>13
[6,8,1,5,7,3,2,4]=>[[1,2,5],[3,4],[6,8],[7]]=>20
[4,1,7,5,6,8,2,3]=>[[1,3,5,6],[2,4,8],[7]]=>10
[3,7,6,2,1,4,5,8]=>[[1,2,7,8],[3,6],[4],[5]]=>11
[1,6,8,7,2,5,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[1,4,8,7,6,3,5,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>22
[1,2,3,4,7,5,6,9,8]=>[[1,2,3,4,5,7,8],[6,9]]=>12
[4,6,7,5,2,3,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>16
[6,2,5,3,1,8,7,4]=>[[1,3,6],[2,7],[4,8],[5]]=>13
[6,2,5,3,8,7,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[6,4,5,3,8,7,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>15
[1,6,4,5,8,7,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[8,4,7,5,2,3,1,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>15
[8,2,7,4,5,3,1,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>15
[8,2,4,7,5,3,1,6]=>[[1,3,4,8],[2],[5],[6],[7]]=>16
[8,2,6,7,5,3,1,4]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[8,4,6,7,5,3,1,2]=>[[1,3,4],[2,8],[5],[6],[7]]=>18
[6,4,5,8,7,3,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>19
[6,2,8,7,5,3,1,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>17
[4,6,5,3,8,7,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[6,7,2,4,5,3,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>15
[6,8,7,4,5,3,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>21
[2,8,4,7,5,3,1,6]=>[[1,2,4,8],[3],[5],[6],[7]]=>17
[5,8,7,4,6,3,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>21
[6,5,8,4,7,2,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>18
[4,8,6,2,5,7,1,3]=>[[1,2,6],[3,5],[4,8],[7]]=>17
[8,1,6,2,5,7,3,4]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[6,8,1,2,4,7,3,5]=>[[1,2,5,6],[3,4],[7,8]]=>16
[8,1,5,3,2,7,4,6]=>[[1,3,6,8],[2,7],[4],[5]]=>10
[8,3,7,6,2,5,4,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>22
[1,2,7,4,5,6,8,9,3]=>[[1,2,3,5,6,7,8],[4],[9]]=>11
[1,2,3,4,7,8,5,6,9]=>[[1,2,3,4,5,6,9],[7,8]]=>12
[1,2,3,4,6,5,8,7,9]=>[[1,2,3,4,5,7,9],[6,8]]=>11
[1,2,3,4,8,9,5,6,7]=>[[1,2,3,4,5,6,9],[7,8]]=>12
[4,6,1,3,5,8,2,7]=>[[1,2,5,6],[3,4,8],[7]]=>12
[4,5,1,3,8,7,2,6]=>[[1,2,5],[3,4,6],[7,8]]=>17
[6,2,7,1,8,3,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>8
[6,4,5,8,1,7,2,3]=>[[1,3,4],[2,6,8],[5,7]]=>12
[6,2,8,5,1,4,7,3]=>[[1,3,7],[2,4],[5,6],[8]]=>17
[2,4,7,6,1,8,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>15
[2,6,7,8,9,10,1,3,4,5]=>[[1,2,3,4,5,6],[7,8,9,10]]=>24
[7,4,5,8,6,3,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>21
[10,8,6,4,2,1,9,7,5,3]=>[[1,7],[2,8],[3,9],[4,10],[5],[6]]=>21
[8,6,3,2,1,9,7,4,5]=>[[1,6,9],[2,7],[3,8],[4],[5]]=>13
[2,5,1,6,3,7,4,8,9]=>[[1,2,4,6,8,9],[3,5,7]]=>9
[2,6,1,7,3,8,4,9,5]=>[[1,2,4,6,8],[3,5,7,9]]=>14
[3,4,6,1,7,2,8,5,9]=>[[1,2,3,5,7,9],[4,6,8]]=>12
[2,5,1,6,3,7,4,8,9,10]=>[[1,2,4,6,8,9,10],[3,5,7]]=>9
[3,4,5,1,6,2,7,8,9,10]=>[[1,2,3,5,7,8,9,10],[4,6]]=>7
[2,6,1,7,3,8,4,9,5,10]=>[[1,2,4,6,8,10],[3,5,7,9]]=>14
[3,4,6,1,7,2,8,5,9,10]=>[[1,2,3,5,7,9,10],[4,6,8]]=>12
[4,5,6,7,1,8,2,9,3,10]=>[[1,2,3,4,6,8,10],[5,7,9]]=>15
[3,5,6,7,9,1,2,4,8]=>[[1,2,3,4,5],[6,7,8,9]]=>20
[7,4,1,3,6,8,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>12
[6,8,1,2,7,3,4,5]=>[[1,2,5,7,8],[3,4],[6]]=>9
[1,6,2,8,7,3,4,5]=>[[1,2,4,7,8],[3,5],[6]]=>10
[1,6,8,5,7,4,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>24
[3,8,1,2,4,7,6,5]=>[[1,2,5,6],[3,4],[7],[8]]=>17
[1,4,5,7,3,6,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>15
[2,3,8,1,4,6,5,7]=>[[1,2,3,6,8],[4,5],[7]]=>12
[3,6,2,4,7,5,8,1]=>[[1,2,5,7],[3,4,6],[8]]=>12
[3,1,8,4,6,2,5,7]=>[[1,3,5,8],[2,4,7],[6]]=>8
[4,2,7,3,5,8,1,6]=>[[1,3,5,6],[2,4,8],[7]]=>10
[3,1,8,4,5,6,2,7]=>[[1,3,5,6,8],[2,4],[7]]=>8
[4,2,7,8,6,3,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>16
[7,1,4,2,8,6,3,5]=>[[1,3,5,8],[2,6],[4,7]]=>9
[2,3,7,4,8,1,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>17
[1,6,3,5,8,7,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>19
[8,4,6,3,5,1,7,2]=>[[1,3,7],[2,5],[4,8],[6]]=>13
[7,3,2,6,8,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[2,4,5,7,1,6,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>15
[8,4,2,6,7,3,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>14
[4,1,5,7,8,6,2,3]=>[[1,3,4,5],[2,6,8],[7]]=>13
[6,1,4,8,2,3,7,5]=>[[1,3,4,7],[2,6],[5,8]]=>11
[7,6,2,3,5,8,4,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[2,8,5,7,6,3,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>21
[2,5,7,8,6,4,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>19
[7,4,1,6,2,5,8,3]=>[[1,4,6,7],[2,5],[3],[8]]=>11
[5,6,2,4,8,7,3,1]=>[[1,2,5],[3,4,6],[7],[8]]=>18
[8,5,6,2,3,7,4,1]=>[[1,3,6],[2,5,7],[4],[8]]=>13
[7,8,1,4,5,6,2,3]=>[[1,2,5,6],[3,4],[7,8]]=>16
[5,6,7,8,9,1,3,4,2]=>[[1,2,3,4,5],[6,7,8],[9]]=>23
[6,7,8,9,1,3,4,5,2]=>[[1,2,3,4],[5,6,7,8],[9]]=>24
[6,7,8,9,1,4,5,2,3]=>[[1,2,3,4],[5,6,7],[8,9]]=>26
[6,7,8,9,1,4,5,3,2]=>[[1,2,3,4],[5,6,7],[8],[9]]=>27
[6,7,8,9,1,5,4,3,2]=>[[1,2,3,4],[5,6],[7],[8],[9]]=>29
[7,8,9,1,5,6,3,4,2]=>[[1,2,3],[4,5,6],[7,8],[9]]=>29
[7,8,9,1,5,6,4,3,2]=>[[1,2,3],[4,5,6],[7],[8],[9]]=>30
[7,8,9,1,6,5,4,3,2]=>[[1,2,3],[4,5],[6],[7],[8],[9]]=>32
[5,6,7,8,9,10,1,3,4,2]=>[[1,2,3,4,5,6],[7,8,9],[10]]=>27
[5,6,7,8,9,10,1,4,3,2]=>[[1,2,3,4,5,6],[7,8],[9],[10]]=>29
[7,8,9,10,1,4,5,6,2,3]=>[[1,2,3,4],[5,6,7,8],[9,10]]=>32
[7,8,9,10,1,4,5,6,3,2]=>[[1,2,3,4],[5,6,7,8],[9],[10]]=>33
[7,8,9,10,1,5,6,4,3,2]=>[[1,2,3,4],[5,6,7],[8],[9],[10]]=>36
[7,8,9,10,1,6,5,4,3,2]=>[[1,2,3,4],[5,6],[7],[8],[9],[10]]=>38
[8,9,10,1,6,7,4,5,2,3]=>[[1,2,3],[4,5,6],[7,8],[9,10]]=>37
[8,9,10,1,6,7,4,5,3,2]=>[[1,2,3],[4,5,6],[7,8],[9],[10]]=>38
[8,9,10,1,6,7,5,4,3,2]=>[[1,2,3],[4,5,6],[7],[8],[9],[10]]=>39
[8,9,10,1,7,6,5,4,3,2]=>[[1,2,3],[4,5],[6],[7],[8],[9],[10]]=>41
[2,6,1,4,7,5,8,3]=>[[1,2,5,7],[3,4,6],[8]]=>12
[3,1,5,7,2,6,8,4]=>[[1,3,4,7],[2,5,6],[8]]=>12
[3,1,7,5,2,6,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>8
[3,2,7,5,1,6,8,4]=>[[1,3,6,7],[2,4],[5,8]]=>12
[5,2,7,3,1,6,8,4]=>[[1,3,6,7],[2,4],[5,8]]=>12
[6,7,2,1,3,4,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>9
[4,6,3,1,2,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>9
[2,3,4,5,7,9,6,8,1]=>[[1,2,3,4,5,6],[7,8],[9]]=>20
[2,3,5,6,8,4,7,1]=>[[1,2,3,4,5],[6,7],[8]]=>17
[2,3,5,9,4,6,7,8,1]=>[[1,2,3,4,7,8],[5,6],[9]]=>16
[2,4,5,8,3,6,7,1]=>[[1,2,3,4,7],[5,6],[8]]=>15
[4,5,8,7,6,3,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>21
[8,7,4,6,5,3,1,2]=>[[1,4],[2,8],[3],[5],[6],[7]]=>19
[8,1,4,3,6,2,5,7]=>[[1,3,5,8],[2,7],[4],[6]]=>11
[1,6,3,7,8,4,2,5]=>[[1,2,4,5],[3,6,8],[7]]=>16
[7,4,2,8,5,6,3,1]=>[[1,4,6],[2,5],[3,7],[8]]=>14
[5,2,1,3,8,4,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>5
[1,4,3,5,8,2,6,7]=>[[1,2,4,5,8],[3,7],[6]]=>11
[2,1,3,8,6,4,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>8
[1,3,6,4,5,8,2,7]=>[[1,2,3,5,6],[4,8],[7]]=>14
[6,1,4,3,5,8,2,7]=>[[1,3,5,6],[2,8],[4],[7]]=>13
[6,5,1,3,8,2,4,7]=>[[1,4,5,8],[2,7],[3],[6]]=>10
[1,4,3,8,6,2,5,7]=>[[1,2,4,8],[3,5],[6,7]]=>15
[4,1,3,8,6,2,5,7]=>[[1,3,4,8],[2,5],[6,7]]=>13
[7,1,5,4,6,3,8,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>16
[6,4,7,8,3,5,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>16
[3,5,6,7,1,8,4,2]=>[[1,2,3,4,6],[5,7],[8]]=>16
[4,5,8,1,7,3,2,6]=>[[1,2,3],[4,5,8],[6],[7]]=>20
[4,6,7,1,3,8,2,5]=>[[1,2,3,6],[4,5,8],[7]]=>16
[2,3,4,5,6,1,8,9,7]=>[[1,2,3,4,5,7,8],[6,9]]=>12
[2,3,4,5,1,7,8,9,6]=>[[1,2,3,4,6,7,8],[5,9]]=>11
[2,6,3,1,4,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>10
[2,9,3,4,5,6,1,7,8]=>[[1,2,4,5,6,8,9],[3],[7]]=>8
[2,7,3,4,1,8,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>10
[8,6,4,5,1,3,7,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>15
[7,4,8,5,3,6,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>17
[8,4,6,5,1,3,7,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>16
[4,5,3,8,7,1,2,6]=>[[1,2,4],[3,5,8],[6,7]]=>18
[8,5,4,7,6,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>11
[2,3,7,8,1,4,6,5]=>[[1,2,3,4],[5,6,7],[8]]=>19
[8,2,3,5,4,1,7,6]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[7,1,3,8,2,4,6,5]=>[[1,3,4,7],[2,6],[5,8]]=>11
[7,2,3,6,4,1,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[6,5,2,4,1,8,3,7]=>[[1,4,6],[2,7,8],[3],[5]]=>11
[5,7,2,4,1,3,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>13
[6,2,5,4,1,8,3,7]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[4,2,5,3,7,6,9,8,1]=>[[1,3,5,7],[2,4,6,8],[9]]=>12
[4,2,6,3,7,5,9,8,1]=>[[1,3,5,7],[2,4,6,8],[9]]=>12
[4,2,6,3,8,5,9,7,1]=>[[1,3,5,7],[2,4,6,8],[9]]=>12
[4,2,6,3,5,8,1,7]=>[[1,3,5,6],[2,4,8],[7]]=>10
[5,2,6,3,7,4,9,8,1]=>[[1,3,5,7],[2,4,6,8],[9]]=>12
[4,2,7,3,8,5,9,6,1]=>[[1,3,5,7],[2,4,6,8],[9]]=>12
[7,4,2,6,8,5,3,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[8,5,2,4,6,3,1,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>14
[7,4,1,2,8,5,6,3]=>[[1,4,5,7],[2,6],[3,8]]=>9
[6,4,1,8,5,2,3,7]=>[[1,4,7,8],[2,5],[3,6]]=>6
[8,4,1,6,3,5,2,7]=>[[1,4,6,8],[2,5],[3],[7]]=>10
[7,3,4,1,6,8,5,2]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[8,6,2,3,5,7,4,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>16
[8,6,2,5,7,3,4,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>17
[6,3,4,8,5,1,2,7]=>[[1,3,4,8],[2,5],[6,7]]=>13
[8,5,1,2,7,4,6,3]=>[[1,4,5,7],[2,6],[3],[8]]=>12
[7,2,6,8,3,4,5,1]=>[[1,3,4,7],[2,6],[5],[8]]=>14
[1,6,7,5,4,8,2,3]=>[[1,2,3,6],[4,8],[5],[7]]=>17
[1,8,5,4,2,6,3,7]=>[[1,2,6,8],[3,7],[4],[5]]=>12
[1,3,2,4,5,6,9,7,8]=>[[1,2,4,5,6,7,9],[3,8]]=>8
[2,3,1,4,5,6,9,7,8]=>[[1,2,4,5,6,7,9],[3,8]]=>8
[5,8,6,1,2,4,3,7]=>[[1,2,6,8],[3,5],[4],[7]]=>13
[4,1,5,7,3,6,8,2]=>[[1,3,4,7],[2,5,6],[8]]=>12
[1,4,5,7,6,8,2,3]=>[[1,2,3,4,6],[5,8],[7]]=>15
[5,7,2,1,6,8,4,3]=>[[1,2,6],[3,5],[4,7],[8]]=>18
[2,6,3,1,7,8,5,4]=>[[1,2,5,6],[3,7],[4,8]]=>14
[6,2,5,7,4,1,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>13
[3,6,1,8,7,4,5,2]=>[[1,2,4],[3,5,7],[6],[8]]=>20
[4,7,1,3,5,6,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>11
[4,3,5,7,8,2,6,1]=>[[1,3,4,5],[2,7],[6],[8]]=>16
[5,3,2,7,6,4,1,8]=>[[1,4,8],[2,5],[3,6],[7]]=>12
[5,3,7,4,6,2,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>13
[5,7,3,2,1,8,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>16
[5,7,6,3,2,1,8,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[3,2,7,5,4,1,8,6]=>[[1,3,7],[2,4,8],[5],[6]]=>12
[1,7,3,5,4,2,6,8]=>[[1,2,4,7,8],[3],[5],[6]]=>11
[5,3,7,4,1,8,6,2]=>[[1,3,6],[2,4,7],[5,8]]=>13
[7,3,5,4,1,6,8,2]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[7,5,1,6,8,3,2,4]=>[[1,4,5],[2,6,8],[3],[7]]=>13
[5,3,1,7,6,8,2,4]=>[[1,4,6],[2,5,8],[3,7]]=>8
[7,1,5,3,2,4,8,6]=>[[1,3,6,7],[2,8],[4],[5]]=>11
[8,1,2,5,3,4,6,7,9]=>[[1,3,4,6,7,8,9],[2],[5]]=>5
[7,1,5,2,4,3,6,8]=>[[1,3,5,7,8],[2],[4],[6]]=>9
[1,9,2,3,6,4,5,7,8]=>[[1,2,4,5,7,8,9],[3],[6]]=>7
[8,9,5,6,3,4,1,2,7]=>[[1,2,9],[3,4],[5,6],[7,8]]=>24
[8,9,10,4,5,6,1,2,3,7]=>[[1,2,3,10],[4,5,6],[7,8,9]]=>27
[1,8,3,6,2,4,7,5]=>[[1,2,4,7],[3,6,8],[5]]=>13
[1,8,7,5,6,4,2,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>19
[6,8,2,1,5,4,3,7]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[6,3,2,1,5,8,4,7]=>[[1,5,6],[2,7,8],[3],[4]]=>10
[4,3,5,6,2,8,1,7]=>[[1,3,4,6],[2,8],[5],[7]]=>14
[6,3,5,2,7,8,4,1]=>[[1,3,5,6],[2,7],[4],[8]]=>14
[4,5,3,1,6,8,2,7]=>[[1,2,5,6],[3,7,8],[4]]=>13
[3,4,6,7,5,1,8,2]=>[[1,2,3,4,7],[5,8],[6]]=>14
[7,4,1,2,5,6,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>7
[4,8,2,6,7,1,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>21
[6,5,8,3,7,1,4,2]=>[[1,3],[2,5],[4,7],[6,8]]=>15
[1,5,2,4,7,6,8,3]=>[[1,2,4,5,7],[3,6],[8]]=>13
[1,2,5,4,7,6,9,8,3]=>[[1,2,3,5,7],[4,6,8],[9]]=>20
[1,4,2,6,5,8,7,10,9,3]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>23
[1,5,2,6,4,8,7,10,9,3]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>23
[1,5,2,7,4,8,6,10,9,3]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>23
[1,5,2,7,4,9,6,10,8,3]=>[[1,2,4,6,8],[3,5,7,9],[10]]=>23
[2,5,4,7,1,8,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>14
[8,1,2,4,6,3,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>9
[4,5,6,7,9,8,3,2,1]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>26
[5,6,7,8,10,9,4,3,2,1]=>[[1,2,3,4,5],[6],[7],[8],[9],[10]]=>35
[4,5,6,7,8,10,9,3,2,1]=>[[1,2,3,4,5,6],[7],[8],[9],[10]]=>30
[4,5,6,7,3,9,8,2,1]=>[[1,2,3,4,6],[5,7],[8],[9]]=>24
[3,5,6,7,9,8,4,2,1]=>[[1,2,3,4,5],[6],[7],[8],[9]]=>26
[3,4,5,8,1,9,7,6,2]=>[[1,2,3,4,6],[5,7],[8],[9]]=>24
[3,4,5,8,9,6,7,1,2]=>[[1,2,3,4,5],[6,7],[8,9]]=>24
[3,4,5,6,9,1,10,8,7,2]=>[[1,2,3,4,5,7],[6,8],[9],[10]]=>28
[3,4,5,9,1,6,7,8,2]=>[[1,2,3,4,7,8],[5,6],[9]]=>16
[3,7,8,4,5,6,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>18
[1,3,8,6,7,4,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>19
[2,6,5,3,7,1,8,4]=>[[1,2,5,7],[3,8],[4],[6]]=>14
[5,7,1,3,6,4,8,2]=>[[1,2,5,7],[3,4],[6],[8]]=>16
[8,2,5,4,1,7,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>12
[8,1,7,6,4,2,3,5]=>[[1,3,7,8],[2],[4],[5],[6]]=>13
[1,8,6,3,7,4,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>15
[5,7,3,4,2,8,6,1]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[5,8,3,4,2,7,6,1]=>[[1,2,6],[3,4],[5,7],[8]]=>20
[7,6,4,2,3,8,5,1]=>[[1,5,6],[2,7],[3],[4],[8]]=>15
[3,5,6,8,2,4,7,1]=>[[1,2,3,4],[5,6,7],[8]]=>19
[4,8,7,3,2,5,6,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>18
[3,7,4,2,6,8,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>16
[6,4,8,7,3,2,5,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>22
[5,6,2,8,7,4,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>23
[6,2,8,3,7,4,5,1]=>[[1,3,5,7],[2,4],[6],[8]]=>14
[3,7,5,6,4,2,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>18
[5,2,3,8,6,1,4,7]=>[[1,3,4,8],[2,5],[6,7]]=>13
[1,4,3,8,5,6,2,7]=>[[1,2,4,6,8],[3,5],[7]]=>11
[7,8,2,6,4,3,5,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>20
[4,5,8,7,2,3,6,1]=>[[1,2,3],[4,6,7],[5],[8]]=>20
[7,8,6,1,4,2,5,3]=>[[1,2,7],[3,5],[4,8],[6]]=>16
[10,5,4,1,2,3,6,7,8,9]=>[[1,5,6,7,8,9,10],[2],[3],[4]]=>6
[8,3,6,5,2,7,1,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>16
[5,1,3,6,4,2,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>8
[6,1,2,4,7,5,3,8]=>[[1,3,4,5,8],[2,6],[7]]=>10
[8,3,1,4,6,7,2,5]=>[[1,4,5,6],[2,7,8],[3]]=>9
[7,8,5,1,2,6,3,4]=>[[1,2,6,8],[3,5],[4,7]]=>11
[6,4,5,1,8,7,3,2]=>[[1,3,5],[2,6],[4,7],[8]]=>16
[8,6,2,1,7,3,5,4]=>[[1,5,7],[2,6],[3,8],[4]]=>10
[7,8,6,1,4,3,5,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>19
[4,3,6,2,5,7,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>11
[1,6,5,7,3,4,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>16
[1,2,3,4,8,5,9,6,7]=>[[1,2,3,4,5,7,9],[6,8]]=>11
[1,2,3,4,5,8,6,9,7,10]=>[[1,2,3,4,5,6,8,10],[7,9]]=>13
[1,2,3,7,4,5,8,6,9]=>[[1,2,3,4,6,7,9],[5,8]]=>10
[1,2,3,4,8,6,5,7,9]=>[[1,2,3,4,5,8,9],[6],[7]]=>11
[1,2,3,4,9,7,5,6,8]=>[[1,2,3,4,5,8,9],[6],[7]]=>11
[1,2,3,4,5,9,6,10,7,8]=>[[1,2,3,4,5,6,8,10],[7,9]]=>13
[8,2,6,5,1,7,4,3]=>[[1,3,6],[2,7],[4],[5],[8]]=>17
[7,6,4,1,2,5,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>9
[2,6,5,4,8,7,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>18
[5,6,7,1,3,2,4,8]=>[[1,2,3,8],[4,5,7],[6]]=>14
[7,1,8,4,3,2,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>16
[2,1,4,9,3,5,6,7,8]=>[[1,3,4,7,8,9],[2,5,6]]=>5
[3,1,2,6,9,4,5,7,8]=>[[1,3,4,5,8,9],[2,6,7]]=>7
[4,6,1,2,3,5,9,7,8]=>[[1,2,5,6,7,9],[3,4,8]]=>7
[1,8,5,2,7,6,4,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>21
[1,7,6,8,2,5,4,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>22
[1,7,8,6,2,5,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>23
[4,6,5,7,1,8,2,3]=>[[1,2,4,6],[3,7,8],[5]]=>14
[7,5,3,6,8,4,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>18
[7,2,5,6,4,8,3,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>18
[7,4,6,2,8,5,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>19
[1,6,3,4,2,5,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>11
[1,5,7,6,2,3,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>14
[1,4,3,7,6,2,5,8]=>[[1,2,4,8],[3,5],[6,7]]=>15
[1,3,7,4,6,8,5,2]=>[[1,2,3,5,6],[4],[7],[8]]=>16
[3,7,4,6,8,1,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>18
[4,8,3,1,7,6,2,5]=>[[1,2,8],[3,5],[4,6],[7]]=>16
[5,6,1,4,3,8,7,2]=>[[1,2,6],[3,4,7],[5],[8]]=>16
[5,8,6,4,3,1,7,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>17
[4,1,3,7,8,6,5,2]=>[[1,3,4,5],[2,6],[7],[8]]=>17
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Description
The inversion number of a standard tableau as defined by Haglund and Stevens.
Their inversion number is the total number of inversion pairs for the tableau. An inversion pair is defined as a pair of cells (a,b), (x,y) such that the content of (x,y) is greater than the content of (a,b) and (x,y) is north of the inversion path of (a,b), where the inversion path is defined in detail in [1].
Their inversion number is the total number of inversion pairs for the tableau. An inversion pair is defined as a pair of cells (a,b), (x,y) such that the content of (x,y) is greater than the content of (a,b) and (x,y) is north of the inversion path of (a,b), where the inversion path is defined in detail in [1].
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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