Identifier
-
Mp00070:
Permutations
—Robinson-Schensted recording tableau⟶
Standard tableaux
St001697: 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]]=>1
[2,1,3]=>[[1,3],[2]]=>2
[2,3,1]=>[[1,2],[3]]=>1
[3,1,2]=>[[1,3],[2]]=>2
[3,2,1]=>[[1],[2],[3]]=>3
[1,2,3,4]=>[[1,2,3,4]]=>0
[1,2,4,3]=>[[1,2,3],[4]]=>1
[1,3,2,4]=>[[1,2,4],[3]]=>2
[1,3,4,2]=>[[1,2,3],[4]]=>1
[1,4,2,3]=>[[1,2,4],[3]]=>2
[1,4,3,2]=>[[1,2],[3],[4]]=>3
[2,1,3,4]=>[[1,3,4],[2]]=>3
[2,1,4,3]=>[[1,3],[2,4]]=>4
[2,3,1,4]=>[[1,2,4],[3]]=>2
[2,3,4,1]=>[[1,2,3],[4]]=>1
[2,4,1,3]=>[[1,2],[3,4]]=>2
[2,4,3,1]=>[[1,2],[3],[4]]=>3
[3,1,2,4]=>[[1,3,4],[2]]=>3
[3,1,4,2]=>[[1,3],[2,4]]=>4
[3,2,1,4]=>[[1,4],[2],[3]]=>4
[3,2,4,1]=>[[1,3],[2],[4]]=>5
[3,4,1,2]=>[[1,2],[3,4]]=>2
[3,4,2,1]=>[[1,2],[3],[4]]=>3
[4,1,2,3]=>[[1,3,4],[2]]=>3
[4,1,3,2]=>[[1,3],[2],[4]]=>5
[4,2,1,3]=>[[1,4],[2],[3]]=>4
[4,2,3,1]=>[[1,3],[2],[4]]=>5
[4,3,1,2]=>[[1,4],[2],[3]]=>4
[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]]=>1
[1,2,4,3,5]=>[[1,2,3,5],[4]]=>2
[1,2,4,5,3]=>[[1,2,3,4],[5]]=>1
[1,2,5,3,4]=>[[1,2,3,5],[4]]=>2
[1,2,5,4,3]=>[[1,2,3],[4],[5]]=>3
[1,3,2,4,5]=>[[1,2,4,5],[3]]=>3
[1,3,2,5,4]=>[[1,2,4],[3,5]]=>4
[1,3,4,2,5]=>[[1,2,3,5],[4]]=>2
[1,3,4,5,2]=>[[1,2,3,4],[5]]=>1
[1,3,5,2,4]=>[[1,2,3],[4,5]]=>2
[1,3,5,4,2]=>[[1,2,3],[4],[5]]=>3
[1,4,2,3,5]=>[[1,2,4,5],[3]]=>3
[1,4,2,5,3]=>[[1,2,4],[3,5]]=>4
[1,4,3,2,5]=>[[1,2,5],[3],[4]]=>4
[1,4,3,5,2]=>[[1,2,4],[3],[5]]=>5
[1,4,5,2,3]=>[[1,2,3],[4,5]]=>2
[1,4,5,3,2]=>[[1,2,3],[4],[5]]=>3
[1,5,2,3,4]=>[[1,2,4,5],[3]]=>3
[1,5,2,4,3]=>[[1,2,4],[3],[5]]=>5
[1,5,3,2,4]=>[[1,2,5],[3],[4]]=>4
[1,5,3,4,2]=>[[1,2,4],[3],[5]]=>5
[1,5,4,2,3]=>[[1,2,5],[3],[4]]=>4
[1,5,4,3,2]=>[[1,2],[3],[4],[5]]=>6
[2,1,3,4,5]=>[[1,3,4,5],[2]]=>4
[2,1,3,5,4]=>[[1,3,4],[2,5]]=>5
[2,1,4,3,5]=>[[1,3,5],[2,4]]=>6
[2,1,4,5,3]=>[[1,3,4],[2,5]]=>5
[2,1,5,3,4]=>[[1,3,5],[2,4]]=>6
[2,1,5,4,3]=>[[1,3],[2,4],[5]]=>7
[2,3,1,4,5]=>[[1,2,4,5],[3]]=>3
[2,3,1,5,4]=>[[1,2,4],[3,5]]=>4
[2,3,4,1,5]=>[[1,2,3,5],[4]]=>2
[2,3,4,5,1]=>[[1,2,3,4],[5]]=>1
[2,3,5,1,4]=>[[1,2,3],[4,5]]=>2
[2,3,5,4,1]=>[[1,2,3],[4],[5]]=>3
[2,4,1,3,5]=>[[1,2,5],[3,4]]=>3
[2,4,1,5,3]=>[[1,2,4],[3,5]]=>4
[2,4,3,1,5]=>[[1,2,5],[3],[4]]=>4
[2,4,3,5,1]=>[[1,2,4],[3],[5]]=>5
[2,4,5,1,3]=>[[1,2,3],[4,5]]=>2
[2,4,5,3,1]=>[[1,2,3],[4],[5]]=>3
[2,5,1,3,4]=>[[1,2,5],[3,4]]=>3
[2,5,1,4,3]=>[[1,2],[3,4],[5]]=>4
[2,5,3,1,4]=>[[1,2,5],[3],[4]]=>4
[2,5,3,4,1]=>[[1,2,4],[3],[5]]=>5
[2,5,4,1,3]=>[[1,2],[3,5],[4]]=>5
[2,5,4,3,1]=>[[1,2],[3],[4],[5]]=>6
[3,1,2,4,5]=>[[1,3,4,5],[2]]=>4
[3,1,2,5,4]=>[[1,3,4],[2,5]]=>5
[3,1,4,2,5]=>[[1,3,5],[2,4]]=>6
[3,1,4,5,2]=>[[1,3,4],[2,5]]=>5
[3,1,5,2,4]=>[[1,3,5],[2,4]]=>6
[3,1,5,4,2]=>[[1,3],[2,4],[5]]=>7
[3,2,1,4,5]=>[[1,4,5],[2],[3]]=>5
[3,2,1,5,4]=>[[1,4],[2,5],[3]]=>6
[3,2,4,1,5]=>[[1,3,5],[2],[4]]=>7
[3,2,4,5,1]=>[[1,3,4],[2],[5]]=>6
[3,2,5,1,4]=>[[1,3],[2,5],[4]]=>8
[3,2,5,4,1]=>[[1,3],[2,4],[5]]=>7
[3,4,1,2,5]=>[[1,2,5],[3,4]]=>3
[3,4,1,5,2]=>[[1,2,4],[3,5]]=>4
[3,4,2,1,5]=>[[1,2,5],[3],[4]]=>4
[3,4,2,5,1]=>[[1,2,4],[3],[5]]=>5
[3,4,5,1,2]=>[[1,2,3],[4,5]]=>2
[3,4,5,2,1]=>[[1,2,3],[4],[5]]=>3
[3,5,1,2,4]=>[[1,2,5],[3,4]]=>3
[3,5,1,4,2]=>[[1,2],[3,4],[5]]=>4
[3,5,2,1,4]=>[[1,2],[3,5],[4]]=>5
[3,5,2,4,1]=>[[1,2],[3,4],[5]]=>4
[3,5,4,1,2]=>[[1,2],[3,5],[4]]=>5
[3,5,4,2,1]=>[[1,2],[3],[4],[5]]=>6
[4,1,2,3,5]=>[[1,3,4,5],[2]]=>4
[4,1,2,5,3]=>[[1,3,4],[2,5]]=>5
[4,1,3,2,5]=>[[1,3,5],[2],[4]]=>7
[4,1,3,5,2]=>[[1,3,4],[2],[5]]=>6
[4,1,5,2,3]=>[[1,3,5],[2,4]]=>6
[4,1,5,3,2]=>[[1,3],[2,4],[5]]=>7
[4,2,1,3,5]=>[[1,4,5],[2],[3]]=>5
[4,2,1,5,3]=>[[1,4],[2,5],[3]]=>6
[4,2,3,1,5]=>[[1,3,5],[2],[4]]=>7
[4,2,3,5,1]=>[[1,3,4],[2],[5]]=>6
[4,2,5,1,3]=>[[1,3],[2,5],[4]]=>8
[4,2,5,3,1]=>[[1,3],[2,4],[5]]=>7
[4,3,1,2,5]=>[[1,4,5],[2],[3]]=>5
[4,3,1,5,2]=>[[1,4],[2,5],[3]]=>6
[4,3,2,1,5]=>[[1,5],[2],[3],[4]]=>7
[4,3,2,5,1]=>[[1,4],[2],[3],[5]]=>8
[4,3,5,1,2]=>[[1,3],[2,5],[4]]=>8
[4,3,5,2,1]=>[[1,3],[2],[4],[5]]=>9
[4,5,1,2,3]=>[[1,2,5],[3,4]]=>3
[4,5,1,3,2]=>[[1,2],[3,4],[5]]=>4
[4,5,2,1,3]=>[[1,2],[3,5],[4]]=>5
[4,5,2,3,1]=>[[1,2],[3,4],[5]]=>4
[4,5,3,1,2]=>[[1,2],[3,5],[4]]=>5
[4,5,3,2,1]=>[[1,2],[3],[4],[5]]=>6
[5,1,2,3,4]=>[[1,3,4,5],[2]]=>4
[5,1,2,4,3]=>[[1,3,4],[2],[5]]=>6
[5,1,3,2,4]=>[[1,3,5],[2],[4]]=>7
[5,1,3,4,2]=>[[1,3,4],[2],[5]]=>6
[5,1,4,2,3]=>[[1,3,5],[2],[4]]=>7
[5,1,4,3,2]=>[[1,3],[2],[4],[5]]=>9
[5,2,1,3,4]=>[[1,4,5],[2],[3]]=>5
[5,2,1,4,3]=>[[1,4],[2,5],[3]]=>6
[5,2,3,1,4]=>[[1,3,5],[2],[4]]=>7
[5,2,3,4,1]=>[[1,3,4],[2],[5]]=>6
[5,2,4,1,3]=>[[1,3],[2,5],[4]]=>8
[5,2,4,3,1]=>[[1,3],[2],[4],[5]]=>9
[5,3,1,2,4]=>[[1,4,5],[2],[3]]=>5
[5,3,1,4,2]=>[[1,4],[2,5],[3]]=>6
[5,3,2,1,4]=>[[1,5],[2],[3],[4]]=>7
[5,3,2,4,1]=>[[1,4],[2],[3],[5]]=>8
[5,3,4,1,2]=>[[1,3],[2,5],[4]]=>8
[5,3,4,2,1]=>[[1,3],[2],[4],[5]]=>9
[5,4,1,2,3]=>[[1,4,5],[2],[3]]=>5
[5,4,1,3,2]=>[[1,4],[2],[3],[5]]=>8
[5,4,2,1,3]=>[[1,5],[2],[3],[4]]=>7
[5,4,2,3,1]=>[[1,4],[2],[3],[5]]=>8
[5,4,3,1,2]=>[[1,5],[2],[3],[4]]=>7
[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]]=>1
[1,2,3,5,4,6]=>[[1,2,3,4,6],[5]]=>2
[1,2,3,5,6,4]=>[[1,2,3,4,5],[6]]=>1
[1,2,3,6,4,5]=>[[1,2,3,4,6],[5]]=>2
[1,2,3,6,5,4]=>[[1,2,3,4],[5],[6]]=>3
[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]]=>4
[1,2,4,5,3,6]=>[[1,2,3,4,6],[5]]=>2
[1,2,4,5,6,3]=>[[1,2,3,4,5],[6]]=>1
[1,2,4,6,3,5]=>[[1,2,3,4],[5,6]]=>2
[1,2,4,6,5,3]=>[[1,2,3,4],[5],[6]]=>3
[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]]=>4
[1,2,5,4,3,6]=>[[1,2,3,6],[4],[5]]=>4
[1,2,5,4,6,3]=>[[1,2,3,5],[4],[6]]=>5
[1,2,5,6,3,4]=>[[1,2,3,4],[5,6]]=>2
[1,2,5,6,4,3]=>[[1,2,3,4],[5],[6]]=>3
[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]]=>5
[1,2,6,4,3,5]=>[[1,2,3,6],[4],[5]]=>4
[1,2,6,4,5,3]=>[[1,2,3,5],[4],[6]]=>5
[1,2,6,5,3,4]=>[[1,2,3,6],[4],[5]]=>4
[1,2,6,5,4,3]=>[[1,2,3],[4],[5],[6]]=>6
[1,3,2,4,5,6]=>[[1,2,4,5,6],[3]]=>4
[1,3,2,4,6,5]=>[[1,2,4,5],[3,6]]=>5
[1,3,2,5,4,6]=>[[1,2,4,6],[3,5]]=>6
[1,3,2,5,6,4]=>[[1,2,4,5],[3,6]]=>5
[1,3,2,6,4,5]=>[[1,2,4,6],[3,5]]=>6
[1,3,2,6,5,4]=>[[1,2,4],[3,5],[6]]=>7
[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]]=>4
[1,3,4,5,2,6]=>[[1,2,3,4,6],[5]]=>2
[1,3,4,5,6,2]=>[[1,2,3,4,5],[6]]=>1
[1,3,4,6,2,5]=>[[1,2,3,4],[5,6]]=>2
[1,3,4,6,5,2]=>[[1,2,3,4],[5],[6]]=>3
[1,3,5,2,4,6]=>[[1,2,3,6],[4,5]]=>3
[1,3,5,2,6,4]=>[[1,2,3,5],[4,6]]=>4
[1,3,5,4,2,6]=>[[1,2,3,6],[4],[5]]=>4
[1,3,5,4,6,2]=>[[1,2,3,5],[4],[6]]=>5
[1,3,5,6,2,4]=>[[1,2,3,4],[5,6]]=>2
[1,3,5,6,4,2]=>[[1,2,3,4],[5],[6]]=>3
[1,3,6,2,4,5]=>[[1,2,3,6],[4,5]]=>3
[1,3,6,2,5,4]=>[[1,2,3],[4,5],[6]]=>4
[1,3,6,4,2,5]=>[[1,2,3,6],[4],[5]]=>4
[1,3,6,4,5,2]=>[[1,2,3,5],[4],[6]]=>5
[1,3,6,5,2,4]=>[[1,2,3],[4,6],[5]]=>5
[1,3,6,5,4,2]=>[[1,2,3],[4],[5],[6]]=>6
[1,4,2,3,5,6]=>[[1,2,4,5,6],[3]]=>4
[1,4,2,3,6,5]=>[[1,2,4,5],[3,6]]=>5
[1,4,2,5,3,6]=>[[1,2,4,6],[3,5]]=>6
[1,4,2,5,6,3]=>[[1,2,4,5],[3,6]]=>5
[1,4,2,6,3,5]=>[[1,2,4,6],[3,5]]=>6
[1,4,2,6,5,3]=>[[1,2,4],[3,5],[6]]=>7
[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]]=>6
[1,4,3,5,2,6]=>[[1,2,4,6],[3],[5]]=>7
[1,4,3,5,6,2]=>[[1,2,4,5],[3],[6]]=>6
[1,4,3,6,2,5]=>[[1,2,4],[3,6],[5]]=>8
[1,4,3,6,5,2]=>[[1,2,4],[3,5],[6]]=>7
[1,4,5,2,3,6]=>[[1,2,3,6],[4,5]]=>3
[1,4,5,2,6,3]=>[[1,2,3,5],[4,6]]=>4
[1,4,5,3,2,6]=>[[1,2,3,6],[4],[5]]=>4
[1,4,5,3,6,2]=>[[1,2,3,5],[4],[6]]=>5
[1,4,5,6,2,3]=>[[1,2,3,4],[5,6]]=>2
[1,4,5,6,3,2]=>[[1,2,3,4],[5],[6]]=>3
[1,4,6,2,3,5]=>[[1,2,3,6],[4,5]]=>3
[1,4,6,2,5,3]=>[[1,2,3],[4,5],[6]]=>4
[1,4,6,3,2,5]=>[[1,2,3],[4,6],[5]]=>5
[1,4,6,3,5,2]=>[[1,2,3],[4,5],[6]]=>4
[1,4,6,5,2,3]=>[[1,2,3],[4,6],[5]]=>5
[1,4,6,5,3,2]=>[[1,2,3],[4],[5],[6]]=>6
[1,5,2,3,4,6]=>[[1,2,4,5,6],[3]]=>4
[1,5,2,3,6,4]=>[[1,2,4,5],[3,6]]=>5
[1,5,2,4,3,6]=>[[1,2,4,6],[3],[5]]=>7
[1,5,2,4,6,3]=>[[1,2,4,5],[3],[6]]=>6
[1,5,2,6,3,4]=>[[1,2,4,6],[3,5]]=>6
[1,5,2,6,4,3]=>[[1,2,4],[3,5],[6]]=>7
[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]]=>6
[1,5,3,4,2,6]=>[[1,2,4,6],[3],[5]]=>7
[1,5,3,4,6,2]=>[[1,2,4,5],[3],[6]]=>6
[1,5,3,6,2,4]=>[[1,2,4],[3,6],[5]]=>8
[1,5,3,6,4,2]=>[[1,2,4],[3,5],[6]]=>7
[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]]=>6
[1,5,4,3,2,6]=>[[1,2,6],[3],[4],[5]]=>7
[1,5,4,3,6,2]=>[[1,2,5],[3],[4],[6]]=>8
[1,5,4,6,2,3]=>[[1,2,4],[3,6],[5]]=>8
[1,5,4,6,3,2]=>[[1,2,4],[3],[5],[6]]=>9
[1,5,6,2,3,4]=>[[1,2,3,6],[4,5]]=>3
[1,5,6,2,4,3]=>[[1,2,3],[4,5],[6]]=>4
[1,5,6,3,2,4]=>[[1,2,3],[4,6],[5]]=>5
[1,5,6,3,4,2]=>[[1,2,3],[4,5],[6]]=>4
[1,5,6,4,2,3]=>[[1,2,3],[4,6],[5]]=>5
[1,5,6,4,3,2]=>[[1,2,3],[4],[5],[6]]=>6
[1,6,2,3,4,5]=>[[1,2,4,5,6],[3]]=>4
[1,6,2,3,5,4]=>[[1,2,4,5],[3],[6]]=>6
[1,6,2,4,3,5]=>[[1,2,4,6],[3],[5]]=>7
[1,6,2,4,5,3]=>[[1,2,4,5],[3],[6]]=>6
[1,6,2,5,3,4]=>[[1,2,4,6],[3],[5]]=>7
[1,6,2,5,4,3]=>[[1,2,4],[3],[5],[6]]=>9
[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]]=>6
[1,6,3,4,2,5]=>[[1,2,4,6],[3],[5]]=>7
[1,6,3,4,5,2]=>[[1,2,4,5],[3],[6]]=>6
[1,6,3,5,2,4]=>[[1,2,4],[3,6],[5]]=>8
[1,6,3,5,4,2]=>[[1,2,4],[3],[5],[6]]=>9
[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]]=>6
[1,6,4,3,2,5]=>[[1,2,6],[3],[4],[5]]=>7
[1,6,4,3,5,2]=>[[1,2,5],[3],[4],[6]]=>8
[1,6,4,5,2,3]=>[[1,2,4],[3,6],[5]]=>8
[1,6,4,5,3,2]=>[[1,2,4],[3],[5],[6]]=>9
[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]]=>8
[1,6,5,3,2,4]=>[[1,2,6],[3],[4],[5]]=>7
[1,6,5,3,4,2]=>[[1,2,5],[3],[4],[6]]=>8
[1,6,5,4,2,3]=>[[1,2,6],[3],[4],[5]]=>7
[1,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6]]=>10
[2,1,3,4,5,6]=>[[1,3,4,5,6],[2]]=>5
[2,1,3,4,6,5]=>[[1,3,4,5],[2,6]]=>6
[2,1,3,5,4,6]=>[[1,3,4,6],[2,5]]=>7
[2,1,3,5,6,4]=>[[1,3,4,5],[2,6]]=>6
[2,1,3,6,4,5]=>[[1,3,4,6],[2,5]]=>7
[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]]=>8
[2,1,4,3,6,5]=>[[1,3,5],[2,4,6]]=>9
[2,1,4,5,3,6]=>[[1,3,4,6],[2,5]]=>7
[2,1,4,5,6,3]=>[[1,3,4,5],[2,6]]=>6
[2,1,4,6,3,5]=>[[1,3,4],[2,5,6]]=>7
[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]]=>8
[2,1,5,3,6,4]=>[[1,3,5],[2,4,6]]=>9
[2,1,5,4,3,6]=>[[1,3,6],[2,4],[5]]=>9
[2,1,5,4,6,3]=>[[1,3,5],[2,4],[6]]=>10
[2,1,5,6,3,4]=>[[1,3,4],[2,5,6]]=>7
[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]]=>8
[2,1,6,3,5,4]=>[[1,3,5],[2,4],[6]]=>10
[2,1,6,4,3,5]=>[[1,3,6],[2,4],[5]]=>9
[2,1,6,4,5,3]=>[[1,3,5],[2,4],[6]]=>10
[2,1,6,5,3,4]=>[[1,3,6],[2,4],[5]]=>9
[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]]=>4
[2,3,1,4,6,5]=>[[1,2,4,5],[3,6]]=>5
[2,3,1,5,4,6]=>[[1,2,4,6],[3,5]]=>6
[2,3,1,5,6,4]=>[[1,2,4,5],[3,6]]=>5
[2,3,1,6,4,5]=>[[1,2,4,6],[3,5]]=>6
[2,3,1,6,5,4]=>[[1,2,4],[3,5],[6]]=>7
[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]]=>4
[2,3,4,5,1,6]=>[[1,2,3,4,6],[5]]=>2
[2,3,4,5,6,1]=>[[1,2,3,4,5],[6]]=>1
[2,3,4,6,1,5]=>[[1,2,3,4],[5,6]]=>2
[2,3,4,6,5,1]=>[[1,2,3,4],[5],[6]]=>3
[2,3,5,1,4,6]=>[[1,2,3,6],[4,5]]=>3
[2,3,5,1,6,4]=>[[1,2,3,5],[4,6]]=>4
[2,3,5,4,1,6]=>[[1,2,3,6],[4],[5]]=>4
[2,3,5,4,6,1]=>[[1,2,3,5],[4],[6]]=>5
[2,3,5,6,1,4]=>[[1,2,3,4],[5,6]]=>2
[2,3,5,6,4,1]=>[[1,2,3,4],[5],[6]]=>3
[2,3,6,1,4,5]=>[[1,2,3,6],[4,5]]=>3
[2,3,6,1,5,4]=>[[1,2,3],[4,5],[6]]=>4
[2,3,6,4,1,5]=>[[1,2,3,6],[4],[5]]=>4
[2,3,6,4,5,1]=>[[1,2,3,5],[4],[6]]=>5
[2,3,6,5,1,4]=>[[1,2,3],[4,6],[5]]=>5
[2,3,6,5,4,1]=>[[1,2,3],[4],[5],[6]]=>6
[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]]=>6
[2,4,1,5,6,3]=>[[1,2,4,5],[3,6]]=>5
[2,4,1,6,3,5]=>[[1,2,4],[3,5,6]]=>6
[2,4,1,6,5,3]=>[[1,2,4],[3,5],[6]]=>7
[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]]=>6
[2,4,3,5,1,6]=>[[1,2,4,6],[3],[5]]=>7
[2,4,3,5,6,1]=>[[1,2,4,5],[3],[6]]=>6
[2,4,3,6,1,5]=>[[1,2,4],[3,6],[5]]=>8
[2,4,3,6,5,1]=>[[1,2,4],[3,5],[6]]=>7
[2,4,5,1,3,6]=>[[1,2,3,6],[4,5]]=>3
[2,4,5,1,6,3]=>[[1,2,3,5],[4,6]]=>4
[2,4,5,3,1,6]=>[[1,2,3,6],[4],[5]]=>4
[2,4,5,3,6,1]=>[[1,2,3,5],[4],[6]]=>5
[2,4,5,6,1,3]=>[[1,2,3,4],[5,6]]=>2
[2,4,5,6,3,1]=>[[1,2,3,4],[5],[6]]=>3
[2,4,6,1,3,5]=>[[1,2,3],[4,5,6]]=>3
[2,4,6,1,5,3]=>[[1,2,3],[4,5],[6]]=>4
[2,4,6,3,1,5]=>[[1,2,3],[4,6],[5]]=>5
[2,4,6,3,5,1]=>[[1,2,3],[4,5],[6]]=>4
[2,4,6,5,1,3]=>[[1,2,3],[4,6],[5]]=>5
[2,4,6,5,3,1]=>[[1,2,3],[4],[5],[6]]=>6
[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]]=>5
[2,5,1,4,6,3]=>[[1,2,5],[3,4],[6]]=>6
[2,5,1,6,3,4]=>[[1,2,4],[3,5,6]]=>6
[2,5,1,6,4,3]=>[[1,2,4],[3,5],[6]]=>7
[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]]=>6
[2,5,3,4,1,6]=>[[1,2,4,6],[3],[5]]=>7
[2,5,3,4,6,1]=>[[1,2,4,5],[3],[6]]=>6
[2,5,3,6,1,4]=>[[1,2,4],[3,6],[5]]=>8
[2,5,3,6,4,1]=>[[1,2,4],[3,5],[6]]=>7
[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]]=>6
[2,5,4,3,1,6]=>[[1,2,6],[3],[4],[5]]=>7
[2,5,4,3,6,1]=>[[1,2,5],[3],[4],[6]]=>8
[2,5,4,6,1,3]=>[[1,2,4],[3,6],[5]]=>8
[2,5,4,6,3,1]=>[[1,2,4],[3],[5],[6]]=>9
[2,5,6,1,3,4]=>[[1,2,3],[4,5,6]]=>3
[2,5,6,1,4,3]=>[[1,2,3],[4,5],[6]]=>4
[2,5,6,3,1,4]=>[[1,2,3],[4,6],[5]]=>5
[2,5,6,3,4,1]=>[[1,2,3],[4,5],[6]]=>4
[2,5,6,4,1,3]=>[[1,2,3],[4,6],[5]]=>5
[2,5,6,4,3,1]=>[[1,2,3],[4],[5],[6]]=>6
[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]]=>6
[2,6,1,4,3,5]=>[[1,2,6],[3,4],[5]]=>5
[2,6,1,4,5,3]=>[[1,2,5],[3,4],[6]]=>6
[2,6,1,5,3,4]=>[[1,2,6],[3,4],[5]]=>5
[2,6,1,5,4,3]=>[[1,2],[3,4],[5],[6]]=>7
[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]]=>6
[2,6,3,4,1,5]=>[[1,2,4,6],[3],[5]]=>7
[2,6,3,4,5,1]=>[[1,2,4,5],[3],[6]]=>6
[2,6,3,5,1,4]=>[[1,2,4],[3,6],[5]]=>8
[2,6,3,5,4,1]=>[[1,2,4],[3],[5],[6]]=>9
[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]]=>6
[2,6,4,3,1,5]=>[[1,2,6],[3],[4],[5]]=>7
[2,6,4,3,5,1]=>[[1,2,5],[3],[4],[6]]=>8
[2,6,4,5,1,3]=>[[1,2,4],[3,6],[5]]=>8
[2,6,4,5,3,1]=>[[1,2,4],[3],[5],[6]]=>9
[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]]=>9
[2,6,5,3,1,4]=>[[1,2,6],[3],[4],[5]]=>7
[2,6,5,3,4,1]=>[[1,2,5],[3],[4],[6]]=>8
[2,6,5,4,1,3]=>[[1,2],[3,6],[4],[5]]=>8
[2,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6]]=>10
[3,1,2,4,5,6]=>[[1,3,4,5,6],[2]]=>5
[3,1,2,4,6,5]=>[[1,3,4,5],[2,6]]=>6
[3,1,2,5,4,6]=>[[1,3,4,6],[2,5]]=>7
[3,1,2,5,6,4]=>[[1,3,4,5],[2,6]]=>6
[3,1,2,6,4,5]=>[[1,3,4,6],[2,5]]=>7
[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]]=>8
[3,1,4,2,6,5]=>[[1,3,5],[2,4,6]]=>9
[3,1,4,5,2,6]=>[[1,3,4,6],[2,5]]=>7
[3,1,4,5,6,2]=>[[1,3,4,5],[2,6]]=>6
[3,1,4,6,2,5]=>[[1,3,4],[2,5,6]]=>7
[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]]=>8
[3,1,5,2,6,4]=>[[1,3,5],[2,4,6]]=>9
[3,1,5,4,2,6]=>[[1,3,6],[2,4],[5]]=>9
[3,1,5,4,6,2]=>[[1,3,5],[2,4],[6]]=>10
[3,1,5,6,2,4]=>[[1,3,4],[2,5,6]]=>7
[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]]=>8
[3,1,6,2,5,4]=>[[1,3,5],[2,4],[6]]=>10
[3,1,6,4,2,5]=>[[1,3,6],[2,4],[5]]=>9
[3,1,6,4,5,2]=>[[1,3,5],[2,4],[6]]=>10
[3,1,6,5,2,4]=>[[1,3,6],[2,4],[5]]=>9
[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]]=>6
[3,2,1,4,6,5]=>[[1,4,5],[2,6],[3]]=>7
[3,2,1,5,4,6]=>[[1,4,6],[2,5],[3]]=>8
[3,2,1,5,6,4]=>[[1,4,5],[2,6],[3]]=>7
[3,2,1,6,4,5]=>[[1,4,6],[2,5],[3]]=>8
[3,2,1,6,5,4]=>[[1,4],[2,5],[3,6]]=>9
[3,2,4,1,5,6]=>[[1,3,5,6],[2],[4]]=>9
[3,2,4,1,6,5]=>[[1,3,5],[2,6],[4]]=>10
[3,2,4,5,1,6]=>[[1,3,4,6],[2],[5]]=>8
[3,2,4,5,6,1]=>[[1,3,4,5],[2],[6]]=>7
[3,2,4,6,1,5]=>[[1,3,4],[2,6],[5]]=>9
[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]]=>11
[3,2,5,1,6,4]=>[[1,3,5],[2,6],[4]]=>10
[3,2,5,4,1,6]=>[[1,3,6],[2,4],[5]]=>9
[3,2,5,4,6,1]=>[[1,3,5],[2,4],[6]]=>10
[3,2,5,6,1,4]=>[[1,3,4],[2,6],[5]]=>9
[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]]=>11
[3,2,6,1,5,4]=>[[1,3],[2,5],[4,6]]=>12
[3,2,6,4,1,5]=>[[1,3,6],[2,4],[5]]=>9
[3,2,6,4,5,1]=>[[1,3,5],[2,4],[6]]=>10
[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]]=>6
[3,4,1,5,6,2]=>[[1,2,4,5],[3,6]]=>5
[3,4,1,6,2,5]=>[[1,2,4],[3,5,6]]=>6
[3,4,1,6,5,2]=>[[1,2,4],[3,5],[6]]=>7
[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]]=>6
[3,4,2,5,1,6]=>[[1,2,4,6],[3],[5]]=>7
[3,4,2,5,6,1]=>[[1,2,4,5],[3],[6]]=>6
[3,4,2,6,1,5]=>[[1,2,4],[3,6],[5]]=>8
[3,4,2,6,5,1]=>[[1,2,4],[3,5],[6]]=>7
[3,4,5,1,2,6]=>[[1,2,3,6],[4,5]]=>3
[3,4,5,1,6,2]=>[[1,2,3,5],[4,6]]=>4
[3,4,5,2,1,6]=>[[1,2,3,6],[4],[5]]=>4
[3,4,5,2,6,1]=>[[1,2,3,5],[4],[6]]=>5
[3,4,5,6,1,2]=>[[1,2,3,4],[5,6]]=>2
[3,4,5,6,2,1]=>[[1,2,3,4],[5],[6]]=>3
[3,4,6,1,2,5]=>[[1,2,3],[4,5,6]]=>3
[3,4,6,1,5,2]=>[[1,2,3],[4,5],[6]]=>4
[3,4,6,2,1,5]=>[[1,2,3],[4,6],[5]]=>5
[3,4,6,2,5,1]=>[[1,2,3],[4,5],[6]]=>4
[3,4,6,5,1,2]=>[[1,2,3],[4,6],[5]]=>5
[3,4,6,5,2,1]=>[[1,2,3],[4],[5],[6]]=>6
[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]]=>5
[3,5,1,4,6,2]=>[[1,2,5],[3,4],[6]]=>6
[3,5,1,6,2,4]=>[[1,2,4],[3,5,6]]=>6
[3,5,1,6,4,2]=>[[1,2,4],[3,5],[6]]=>7
[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]]=>6
[3,5,2,4,1,6]=>[[1,2,6],[3,4],[5]]=>5
[3,5,2,4,6,1]=>[[1,2,5],[3,4],[6]]=>6
[3,5,2,6,1,4]=>[[1,2,4],[3,6],[5]]=>8
[3,5,2,6,4,1]=>[[1,2,4],[3,5],[6]]=>7
[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]]=>6
[3,5,4,2,1,6]=>[[1,2,6],[3],[4],[5]]=>7
[3,5,4,2,6,1]=>[[1,2,5],[3],[4],[6]]=>8
[3,5,4,6,1,2]=>[[1,2,4],[3,6],[5]]=>8
[3,5,4,6,2,1]=>[[1,2,4],[3],[5],[6]]=>9
[3,5,6,1,2,4]=>[[1,2,3],[4,5,6]]=>3
[3,5,6,1,4,2]=>[[1,2,3],[4,5],[6]]=>4
[3,5,6,2,1,4]=>[[1,2,3],[4,6],[5]]=>5
[3,5,6,2,4,1]=>[[1,2,3],[4,5],[6]]=>4
[3,5,6,4,1,2]=>[[1,2,3],[4,6],[5]]=>5
[3,5,6,4,2,1]=>[[1,2,3],[4],[5],[6]]=>6
[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]]=>6
[3,6,1,4,2,5]=>[[1,2,6],[3,4],[5]]=>5
[3,6,1,4,5,2]=>[[1,2,5],[3,4],[6]]=>6
[3,6,1,5,2,4]=>[[1,2,6],[3,4],[5]]=>5
[3,6,1,5,4,2]=>[[1,2],[3,4],[5],[6]]=>7
[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]]=>8
[3,6,2,4,1,5]=>[[1,2,6],[3,4],[5]]=>5
[3,6,2,4,5,1]=>[[1,2,5],[3,4],[6]]=>6
[3,6,2,5,1,4]=>[[1,2],[3,4],[5,6]]=>6
[3,6,2,5,4,1]=>[[1,2],[3,4],[5],[6]]=>7
[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]]=>6
[3,6,4,2,1,5]=>[[1,2,6],[3],[4],[5]]=>7
[3,6,4,2,5,1]=>[[1,2,5],[3],[4],[6]]=>8
[3,6,4,5,1,2]=>[[1,2,4],[3,6],[5]]=>8
[3,6,4,5,2,1]=>[[1,2,4],[3],[5],[6]]=>9
[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]]=>9
[3,6,5,2,1,4]=>[[1,2],[3,6],[4],[5]]=>8
[3,6,5,2,4,1]=>[[1,2],[3,5],[4],[6]]=>9
[3,6,5,4,1,2]=>[[1,2],[3,6],[4],[5]]=>8
[3,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6]]=>10
[4,1,2,3,5,6]=>[[1,3,4,5,6],[2]]=>5
[4,1,2,3,6,5]=>[[1,3,4,5],[2,6]]=>6
[4,1,2,5,3,6]=>[[1,3,4,6],[2,5]]=>7
[4,1,2,5,6,3]=>[[1,3,4,5],[2,6]]=>6
[4,1,2,6,3,5]=>[[1,3,4,6],[2,5]]=>7
[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]]=>9
[4,1,3,2,6,5]=>[[1,3,5],[2,6],[4]]=>10
[4,1,3,5,2,6]=>[[1,3,4,6],[2],[5]]=>8
[4,1,3,5,6,2]=>[[1,3,4,5],[2],[6]]=>7
[4,1,3,6,2,5]=>[[1,3,4],[2,6],[5]]=>9
[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]]=>8
[4,1,5,2,6,3]=>[[1,3,5],[2,4,6]]=>9
[4,1,5,3,2,6]=>[[1,3,6],[2,4],[5]]=>9
[4,1,5,3,6,2]=>[[1,3,5],[2,4],[6]]=>10
[4,1,5,6,2,3]=>[[1,3,4],[2,5,6]]=>7
[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]]=>8
[4,1,6,2,5,3]=>[[1,3,5],[2,4],[6]]=>10
[4,1,6,3,2,5]=>[[1,3,6],[2,4],[5]]=>9
[4,1,6,3,5,2]=>[[1,3,5],[2,4],[6]]=>10
[4,1,6,5,2,3]=>[[1,3,6],[2,4],[5]]=>9
[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]]=>6
[4,2,1,3,6,5]=>[[1,4,5],[2,6],[3]]=>7
[4,2,1,5,3,6]=>[[1,4,6],[2,5],[3]]=>8
[4,2,1,5,6,3]=>[[1,4,5],[2,6],[3]]=>7
[4,2,1,6,3,5]=>[[1,4,6],[2,5],[3]]=>8
[4,2,1,6,5,3]=>[[1,4],[2,5],[3,6]]=>9
[4,2,3,1,5,6]=>[[1,3,5,6],[2],[4]]=>9
[4,2,3,1,6,5]=>[[1,3,5],[2,6],[4]]=>10
[4,2,3,5,1,6]=>[[1,3,4,6],[2],[5]]=>8
[4,2,3,5,6,1]=>[[1,3,4,5],[2],[6]]=>7
[4,2,3,6,1,5]=>[[1,3,4],[2,6],[5]]=>9
[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]]=>11
[4,2,5,1,6,3]=>[[1,3,5],[2,6],[4]]=>10
[4,2,5,3,1,6]=>[[1,3,6],[2,4],[5]]=>9
[4,2,5,3,6,1]=>[[1,3,5],[2,4],[6]]=>10
[4,2,5,6,1,3]=>[[1,3,4],[2,6],[5]]=>9
[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]]=>11
[4,2,6,1,5,3]=>[[1,3],[2,5],[4,6]]=>12
[4,2,6,3,1,5]=>[[1,3,6],[2,4],[5]]=>9
[4,2,6,3,5,1]=>[[1,3,5],[2,4],[6]]=>10
[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]]=>6
[4,3,1,2,6,5]=>[[1,4,5],[2,6],[3]]=>7
[4,3,1,5,2,6]=>[[1,4,6],[2,5],[3]]=>8
[4,3,1,5,6,2]=>[[1,4,5],[2,6],[3]]=>7
[4,3,1,6,2,5]=>[[1,4,6],[2,5],[3]]=>8
[4,3,1,6,5,2]=>[[1,4],[2,5],[3,6]]=>9
[4,3,2,1,5,6]=>[[1,5,6],[2],[3],[4]]=>8
[4,3,2,1,6,5]=>[[1,5],[2,6],[3],[4]]=>9
[4,3,2,5,1,6]=>[[1,4,6],[2],[3],[5]]=>10
[4,3,2,5,6,1]=>[[1,4,5],[2],[3],[6]]=>9
[4,3,2,6,1,5]=>[[1,4],[2,6],[3],[5]]=>11
[4,3,2,6,5,1]=>[[1,4],[2,5],[3],[6]]=>10
[4,3,5,1,2,6]=>[[1,3,6],[2,5],[4]]=>11
[4,3,5,1,6,2]=>[[1,3,5],[2,6],[4]]=>10
[4,3,5,2,1,6]=>[[1,3,6],[2],[4],[5]]=>11
[4,3,5,2,6,1]=>[[1,3,5],[2],[4],[6]]=>12
[4,3,5,6,1,2]=>[[1,3,4],[2,6],[5]]=>9
[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]]=>11
[4,3,6,1,5,2]=>[[1,3],[2,5],[4,6]]=>12
[4,3,6,2,1,5]=>[[1,3],[2,6],[4],[5]]=>12
[4,3,6,2,5,1]=>[[1,3],[2,5],[4],[6]]=>13
[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]]=>5
[4,5,1,3,6,2]=>[[1,2,5],[3,4],[6]]=>6
[4,5,1,6,2,3]=>[[1,2,4],[3,5,6]]=>6
[4,5,1,6,3,2]=>[[1,2,4],[3,5],[6]]=>7
[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]]=>6
[4,5,2,3,1,6]=>[[1,2,6],[3,4],[5]]=>5
[4,5,2,3,6,1]=>[[1,2,5],[3,4],[6]]=>6
[4,5,2,6,1,3]=>[[1,2,4],[3,6],[5]]=>8
[4,5,2,6,3,1]=>[[1,2,4],[3,5],[6]]=>7
[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]]=>6
[4,5,3,2,1,6]=>[[1,2,6],[3],[4],[5]]=>7
[4,5,3,2,6,1]=>[[1,2,5],[3],[4],[6]]=>8
[4,5,3,6,1,2]=>[[1,2,4],[3,6],[5]]=>8
[4,5,3,6,2,1]=>[[1,2,4],[3],[5],[6]]=>9
[4,5,6,1,2,3]=>[[1,2,3],[4,5,6]]=>3
[4,5,6,1,3,2]=>[[1,2,3],[4,5],[6]]=>4
[4,5,6,2,1,3]=>[[1,2,3],[4,6],[5]]=>5
[4,5,6,2,3,1]=>[[1,2,3],[4,5],[6]]=>4
[4,5,6,3,1,2]=>[[1,2,3],[4,6],[5]]=>5
[4,5,6,3,2,1]=>[[1,2,3],[4],[5],[6]]=>6
[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]]=>6
[4,6,1,3,2,5]=>[[1,2,6],[3,4],[5]]=>5
[4,6,1,3,5,2]=>[[1,2,5],[3,4],[6]]=>6
[4,6,1,5,2,3]=>[[1,2,6],[3,4],[5]]=>5
[4,6,1,5,3,2]=>[[1,2],[3,4],[5],[6]]=>7
[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]]=>8
[4,6,2,3,1,5]=>[[1,2,6],[3,4],[5]]=>5
[4,6,2,3,5,1]=>[[1,2,5],[3,4],[6]]=>6
[4,6,2,5,1,3]=>[[1,2],[3,4],[5,6]]=>6
[4,6,2,5,3,1]=>[[1,2],[3,4],[5],[6]]=>7
[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]]=>8
[4,6,3,2,1,5]=>[[1,2],[3,6],[4],[5]]=>8
[4,6,3,2,5,1]=>[[1,2],[3,5],[4],[6]]=>9
[4,6,3,5,1,2]=>[[1,2],[3,4],[5,6]]=>6
[4,6,3,5,2,1]=>[[1,2],[3,4],[5],[6]]=>7
[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]]=>9
[4,6,5,2,1,3]=>[[1,2],[3,6],[4],[5]]=>8
[4,6,5,2,3,1]=>[[1,2],[3,5],[4],[6]]=>9
[4,6,5,3,1,2]=>[[1,2],[3,6],[4],[5]]=>8
[4,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6]]=>10
[5,1,2,3,4,6]=>[[1,3,4,5,6],[2]]=>5
[5,1,2,3,6,4]=>[[1,3,4,5],[2,6]]=>6
[5,1,2,4,3,6]=>[[1,3,4,6],[2],[5]]=>8
[5,1,2,4,6,3]=>[[1,3,4,5],[2],[6]]=>7
[5,1,2,6,3,4]=>[[1,3,4,6],[2,5]]=>7
[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]]=>9
[5,1,3,2,6,4]=>[[1,3,5],[2,6],[4]]=>10
[5,1,3,4,2,6]=>[[1,3,4,6],[2],[5]]=>8
[5,1,3,4,6,2]=>[[1,3,4,5],[2],[6]]=>7
[5,1,3,6,2,4]=>[[1,3,4],[2,6],[5]]=>9
[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]]=>9
[5,1,4,2,6,3]=>[[1,3,5],[2,6],[4]]=>10
[5,1,4,3,2,6]=>[[1,3,6],[2],[4],[5]]=>11
[5,1,4,3,6,2]=>[[1,3,5],[2],[4],[6]]=>12
[5,1,4,6,2,3]=>[[1,3,4],[2,6],[5]]=>9
[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]]=>8
[5,1,6,2,4,3]=>[[1,3,5],[2,4],[6]]=>10
[5,1,6,3,2,4]=>[[1,3,6],[2,4],[5]]=>9
[5,1,6,3,4,2]=>[[1,3,5],[2,4],[6]]=>10
[5,1,6,4,2,3]=>[[1,3,6],[2,4],[5]]=>9
[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]]=>6
[5,2,1,3,6,4]=>[[1,4,5],[2,6],[3]]=>7
[5,2,1,4,3,6]=>[[1,4,6],[2,5],[3]]=>8
[5,2,1,4,6,3]=>[[1,4,5],[2,6],[3]]=>7
[5,2,1,6,3,4]=>[[1,4,6],[2,5],[3]]=>8
[5,2,1,6,4,3]=>[[1,4],[2,5],[3,6]]=>9
[5,2,3,1,4,6]=>[[1,3,5,6],[2],[4]]=>9
[5,2,3,1,6,4]=>[[1,3,5],[2,6],[4]]=>10
[5,2,3,4,1,6]=>[[1,3,4,6],[2],[5]]=>8
[5,2,3,4,6,1]=>[[1,3,4,5],[2],[6]]=>7
[5,2,3,6,1,4]=>[[1,3,4],[2,6],[5]]=>9
[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]]=>11
[5,2,4,1,6,3]=>[[1,3,5],[2,6],[4]]=>10
[5,2,4,3,1,6]=>[[1,3,6],[2],[4],[5]]=>11
[5,2,4,3,6,1]=>[[1,3,5],[2],[4],[6]]=>12
[5,2,4,6,1,3]=>[[1,3,4],[2,6],[5]]=>9
[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]]=>11
[5,2,6,1,4,3]=>[[1,3],[2,5],[4,6]]=>12
[5,2,6,3,1,4]=>[[1,3,6],[2,4],[5]]=>9
[5,2,6,3,4,1]=>[[1,3,5],[2,4],[6]]=>10
[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]]=>6
[5,3,1,2,6,4]=>[[1,4,5],[2,6],[3]]=>7
[5,3,1,4,2,6]=>[[1,4,6],[2,5],[3]]=>8
[5,3,1,4,6,2]=>[[1,4,5],[2,6],[3]]=>7
[5,3,1,6,2,4]=>[[1,4,6],[2,5],[3]]=>8
[5,3,1,6,4,2]=>[[1,4],[2,5],[3,6]]=>9
[5,3,2,1,4,6]=>[[1,5,6],[2],[3],[4]]=>8
[5,3,2,1,6,4]=>[[1,5],[2,6],[3],[4]]=>9
[5,3,2,4,1,6]=>[[1,4,6],[2],[3],[5]]=>10
[5,3,2,4,6,1]=>[[1,4,5],[2],[3],[6]]=>9
[5,3,2,6,1,4]=>[[1,4],[2,6],[3],[5]]=>11
[5,3,2,6,4,1]=>[[1,4],[2,5],[3],[6]]=>10
[5,3,4,1,2,6]=>[[1,3,6],[2,5],[4]]=>11
[5,3,4,1,6,2]=>[[1,3,5],[2,6],[4]]=>10
[5,3,4,2,1,6]=>[[1,3,6],[2],[4],[5]]=>11
[5,3,4,2,6,1]=>[[1,3,5],[2],[4],[6]]=>12
[5,3,4,6,1,2]=>[[1,3,4],[2,6],[5]]=>9
[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]]=>11
[5,3,6,1,4,2]=>[[1,3],[2,5],[4,6]]=>12
[5,3,6,2,1,4]=>[[1,3],[2,6],[4],[5]]=>12
[5,3,6,2,4,1]=>[[1,3],[2,5],[4],[6]]=>13
[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]]=>6
[5,4,1,2,6,3]=>[[1,4,5],[2,6],[3]]=>7
[5,4,1,3,2,6]=>[[1,4,6],[2],[3],[5]]=>10
[5,4,1,3,6,2]=>[[1,4,5],[2],[3],[6]]=>9
[5,4,1,6,2,3]=>[[1,4,6],[2,5],[3]]=>8
[5,4,1,6,3,2]=>[[1,4],[2,5],[3],[6]]=>10
[5,4,2,1,3,6]=>[[1,5,6],[2],[3],[4]]=>8
[5,4,2,1,6,3]=>[[1,5],[2,6],[3],[4]]=>9
[5,4,2,3,1,6]=>[[1,4,6],[2],[3],[5]]=>10
[5,4,2,3,6,1]=>[[1,4,5],[2],[3],[6]]=>9
[5,4,2,6,1,3]=>[[1,4],[2,6],[3],[5]]=>11
[5,4,2,6,3,1]=>[[1,4],[2,5],[3],[6]]=>10
[5,4,3,1,2,6]=>[[1,5,6],[2],[3],[4]]=>8
[5,4,3,1,6,2]=>[[1,5],[2,6],[3],[4]]=>9
[5,4,3,2,1,6]=>[[1,6],[2],[3],[4],[5]]=>11
[5,4,3,2,6,1]=>[[1,5],[2],[3],[4],[6]]=>12
[5,4,3,6,1,2]=>[[1,4],[2,6],[3],[5]]=>11
[5,4,3,6,2,1]=>[[1,4],[2],[3],[5],[6]]=>13
[5,4,6,1,2,3]=>[[1,3,6],[2,5],[4]]=>11
[5,4,6,1,3,2]=>[[1,3],[2,5],[4],[6]]=>13
[5,4,6,2,1,3]=>[[1,3],[2,6],[4],[5]]=>12
[5,4,6,2,3,1]=>[[1,3],[2,5],[4],[6]]=>13
[5,4,6,3,1,2]=>[[1,3],[2,6],[4],[5]]=>12
[5,4,6,3,2,1]=>[[1,3],[2],[4],[5],[6]]=>14
[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]]=>6
[5,6,1,3,2,4]=>[[1,2,6],[3,4],[5]]=>5
[5,6,1,3,4,2]=>[[1,2,5],[3,4],[6]]=>6
[5,6,1,4,2,3]=>[[1,2,6],[3,4],[5]]=>5
[5,6,1,4,3,2]=>[[1,2],[3,4],[5],[6]]=>7
[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]]=>8
[5,6,2,3,1,4]=>[[1,2,6],[3,4],[5]]=>5
[5,6,2,3,4,1]=>[[1,2,5],[3,4],[6]]=>6
[5,6,2,4,1,3]=>[[1,2],[3,4],[5,6]]=>6
[5,6,2,4,3,1]=>[[1,2],[3,4],[5],[6]]=>7
[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]]=>8
[5,6,3,2,1,4]=>[[1,2],[3,6],[4],[5]]=>8
[5,6,3,2,4,1]=>[[1,2],[3,5],[4],[6]]=>9
[5,6,3,4,1,2]=>[[1,2],[3,4],[5,6]]=>6
[5,6,3,4,2,1]=>[[1,2],[3,4],[5],[6]]=>7
[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]]=>9
[5,6,4,2,1,3]=>[[1,2],[3,6],[4],[5]]=>8
[5,6,4,2,3,1]=>[[1,2],[3,5],[4],[6]]=>9
[5,6,4,3,1,2]=>[[1,2],[3,6],[4],[5]]=>8
[5,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6]]=>10
[6,1,2,3,4,5]=>[[1,3,4,5,6],[2]]=>5
[6,1,2,3,5,4]=>[[1,3,4,5],[2],[6]]=>7
[6,1,2,4,3,5]=>[[1,3,4,6],[2],[5]]=>8
[6,1,2,4,5,3]=>[[1,3,4,5],[2],[6]]=>7
[6,1,2,5,3,4]=>[[1,3,4,6],[2],[5]]=>8
[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]]=>9
[6,1,3,2,5,4]=>[[1,3,5],[2,6],[4]]=>10
[6,1,3,4,2,5]=>[[1,3,4,6],[2],[5]]=>8
[6,1,3,4,5,2]=>[[1,3,4,5],[2],[6]]=>7
[6,1,3,5,2,4]=>[[1,3,4],[2,6],[5]]=>9
[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]]=>9
[6,1,4,2,5,3]=>[[1,3,5],[2,6],[4]]=>10
[6,1,4,3,2,5]=>[[1,3,6],[2],[4],[5]]=>11
[6,1,4,3,5,2]=>[[1,3,5],[2],[4],[6]]=>12
[6,1,4,5,2,3]=>[[1,3,4],[2,6],[5]]=>9
[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]]=>9
[6,1,5,2,4,3]=>[[1,3,5],[2],[4],[6]]=>12
[6,1,5,3,2,4]=>[[1,3,6],[2],[4],[5]]=>11
[6,1,5,3,4,2]=>[[1,3,5],[2],[4],[6]]=>12
[6,1,5,4,2,3]=>[[1,3,6],[2],[4],[5]]=>11
[6,1,5,4,3,2]=>[[1,3],[2],[4],[5],[6]]=>14
[6,2,1,3,4,5]=>[[1,4,5,6],[2],[3]]=>6
[6,2,1,3,5,4]=>[[1,4,5],[2,6],[3]]=>7
[6,2,1,4,3,5]=>[[1,4,6],[2,5],[3]]=>8
[6,2,1,4,5,3]=>[[1,4,5],[2,6],[3]]=>7
[6,2,1,5,3,4]=>[[1,4,6],[2,5],[3]]=>8
[6,2,1,5,4,3]=>[[1,4],[2,5],[3],[6]]=>10
[6,2,3,1,4,5]=>[[1,3,5,6],[2],[4]]=>9
[6,2,3,1,5,4]=>[[1,3,5],[2,6],[4]]=>10
[6,2,3,4,1,5]=>[[1,3,4,6],[2],[5]]=>8
[6,2,3,4,5,1]=>[[1,3,4,5],[2],[6]]=>7
[6,2,3,5,1,4]=>[[1,3,4],[2,6],[5]]=>9
[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]]=>11
[6,2,4,1,5,3]=>[[1,3,5],[2,6],[4]]=>10
[6,2,4,3,1,5]=>[[1,3,6],[2],[4],[5]]=>11
[6,2,4,3,5,1]=>[[1,3,5],[2],[4],[6]]=>12
[6,2,4,5,1,3]=>[[1,3,4],[2,6],[5]]=>9
[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]]=>11
[6,2,5,1,4,3]=>[[1,3],[2,5],[4],[6]]=>13
[6,2,5,3,1,4]=>[[1,3,6],[2],[4],[5]]=>11
[6,2,5,3,4,1]=>[[1,3,5],[2],[4],[6]]=>12
[6,2,5,4,1,3]=>[[1,3],[2,6],[4],[5]]=>12
[6,2,5,4,3,1]=>[[1,3],[2],[4],[5],[6]]=>14
[6,3,1,2,4,5]=>[[1,4,5,6],[2],[3]]=>6
[6,3,1,2,5,4]=>[[1,4,5],[2,6],[3]]=>7
[6,3,1,4,2,5]=>[[1,4,6],[2,5],[3]]=>8
[6,3,1,4,5,2]=>[[1,4,5],[2,6],[3]]=>7
[6,3,1,5,2,4]=>[[1,4,6],[2,5],[3]]=>8
[6,3,1,5,4,2]=>[[1,4],[2,5],[3],[6]]=>10
[6,3,2,1,4,5]=>[[1,5,6],[2],[3],[4]]=>8
[6,3,2,1,5,4]=>[[1,5],[2,6],[3],[4]]=>9
[6,3,2,4,1,5]=>[[1,4,6],[2],[3],[5]]=>10
[6,3,2,4,5,1]=>[[1,4,5],[2],[3],[6]]=>9
[6,3,2,5,1,4]=>[[1,4],[2,6],[3],[5]]=>11
[6,3,2,5,4,1]=>[[1,4],[2,5],[3],[6]]=>10
[6,3,4,1,2,5]=>[[1,3,6],[2,5],[4]]=>11
[6,3,4,1,5,2]=>[[1,3,5],[2,6],[4]]=>10
[6,3,4,2,1,5]=>[[1,3,6],[2],[4],[5]]=>11
[6,3,4,2,5,1]=>[[1,3,5],[2],[4],[6]]=>12
[6,3,4,5,1,2]=>[[1,3,4],[2,6],[5]]=>9
[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]]=>11
[6,3,5,1,4,2]=>[[1,3],[2,5],[4],[6]]=>13
[6,3,5,2,1,4]=>[[1,3],[2,6],[4],[5]]=>12
[6,3,5,2,4,1]=>[[1,3],[2,5],[4],[6]]=>13
[6,3,5,4,1,2]=>[[1,3],[2,6],[4],[5]]=>12
[6,3,5,4,2,1]=>[[1,3],[2],[4],[5],[6]]=>14
[6,4,1,2,3,5]=>[[1,4,5,6],[2],[3]]=>6
[6,4,1,2,5,3]=>[[1,4,5],[2,6],[3]]=>7
[6,4,1,3,2,5]=>[[1,4,6],[2],[3],[5]]=>10
[6,4,1,3,5,2]=>[[1,4,5],[2],[3],[6]]=>9
[6,4,1,5,2,3]=>[[1,4,6],[2,5],[3]]=>8
[6,4,1,5,3,2]=>[[1,4],[2,5],[3],[6]]=>10
[6,4,2,1,3,5]=>[[1,5,6],[2],[3],[4]]=>8
[6,4,2,1,5,3]=>[[1,5],[2,6],[3],[4]]=>9
[6,4,2,3,1,5]=>[[1,4,6],[2],[3],[5]]=>10
[6,4,2,3,5,1]=>[[1,4,5],[2],[3],[6]]=>9
[6,4,2,5,1,3]=>[[1,4],[2,6],[3],[5]]=>11
[6,4,2,5,3,1]=>[[1,4],[2,5],[3],[6]]=>10
[6,4,3,1,2,5]=>[[1,5,6],[2],[3],[4]]=>8
[6,4,3,1,5,2]=>[[1,5],[2,6],[3],[4]]=>9
[6,4,3,2,1,5]=>[[1,6],[2],[3],[4],[5]]=>11
[6,4,3,2,5,1]=>[[1,5],[2],[3],[4],[6]]=>12
[6,4,3,5,1,2]=>[[1,4],[2,6],[3],[5]]=>11
[6,4,3,5,2,1]=>[[1,4],[2],[3],[5],[6]]=>13
[6,4,5,1,2,3]=>[[1,3,6],[2,5],[4]]=>11
[6,4,5,1,3,2]=>[[1,3],[2,5],[4],[6]]=>13
[6,4,5,2,1,3]=>[[1,3],[2,6],[4],[5]]=>12
[6,4,5,2,3,1]=>[[1,3],[2,5],[4],[6]]=>13
[6,4,5,3,1,2]=>[[1,3],[2,6],[4],[5]]=>12
[6,4,5,3,2,1]=>[[1,3],[2],[4],[5],[6]]=>14
[6,5,1,2,3,4]=>[[1,4,5,6],[2],[3]]=>6
[6,5,1,2,4,3]=>[[1,4,5],[2],[3],[6]]=>9
[6,5,1,3,2,4]=>[[1,4,6],[2],[3],[5]]=>10
[6,5,1,3,4,2]=>[[1,4,5],[2],[3],[6]]=>9
[6,5,1,4,2,3]=>[[1,4,6],[2],[3],[5]]=>10
[6,5,1,4,3,2]=>[[1,4],[2],[3],[5],[6]]=>13
[6,5,2,1,3,4]=>[[1,5,6],[2],[3],[4]]=>8
[6,5,2,1,4,3]=>[[1,5],[2,6],[3],[4]]=>9
[6,5,2,3,1,4]=>[[1,4,6],[2],[3],[5]]=>10
[6,5,2,3,4,1]=>[[1,4,5],[2],[3],[6]]=>9
[6,5,2,4,1,3]=>[[1,4],[2,6],[3],[5]]=>11
[6,5,2,4,3,1]=>[[1,4],[2],[3],[5],[6]]=>13
[6,5,3,1,2,4]=>[[1,5,6],[2],[3],[4]]=>8
[6,5,3,1,4,2]=>[[1,5],[2,6],[3],[4]]=>9
[6,5,3,2,1,4]=>[[1,6],[2],[3],[4],[5]]=>11
[6,5,3,2,4,1]=>[[1,5],[2],[3],[4],[6]]=>12
[6,5,3,4,1,2]=>[[1,4],[2,6],[3],[5]]=>11
[6,5,3,4,2,1]=>[[1,4],[2],[3],[5],[6]]=>13
[6,5,4,1,2,3]=>[[1,5,6],[2],[3],[4]]=>8
[6,5,4,1,3,2]=>[[1,5],[2],[3],[4],[6]]=>12
[6,5,4,2,1,3]=>[[1,6],[2],[3],[4],[5]]=>11
[6,5,4,2,3,1]=>[[1,5],[2],[3],[4],[6]]=>12
[6,5,4,3,1,2]=>[[1,6],[2],[3],[4],[5]]=>11
[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]]=>1
[1,2,3,4,6,5,7]=>[[1,2,3,4,5,7],[6]]=>2
[1,2,3,4,6,7,5]=>[[1,2,3,4,5,6],[7]]=>1
[1,2,3,4,7,5,6]=>[[1,2,3,4,5,7],[6]]=>2
[1,2,3,4,7,6,5]=>[[1,2,3,4,5],[6],[7]]=>3
[1,2,3,5,4,6,7]=>[[1,2,3,4,6,7],[5]]=>3
[1,2,3,5,4,7,6]=>[[1,2,3,4,6],[5,7]]=>4
[1,2,3,5,6,4,7]=>[[1,2,3,4,5,7],[6]]=>2
[1,2,3,5,6,7,4]=>[[1,2,3,4,5,6],[7]]=>1
[1,2,3,5,7,4,6]=>[[1,2,3,4,5],[6,7]]=>2
[1,2,3,5,7,6,4]=>[[1,2,3,4,5],[6],[7]]=>3
[1,2,3,6,4,5,7]=>[[1,2,3,4,6,7],[5]]=>3
[1,2,3,6,4,7,5]=>[[1,2,3,4,6],[5,7]]=>4
[1,2,3,6,5,4,7]=>[[1,2,3,4,7],[5],[6]]=>4
[1,2,3,6,5,7,4]=>[[1,2,3,4,6],[5],[7]]=>5
[1,2,3,6,7,4,5]=>[[1,2,3,4,5],[6,7]]=>2
[1,2,3,6,7,5,4]=>[[1,2,3,4,5],[6],[7]]=>3
[1,2,3,7,4,5,6]=>[[1,2,3,4,6,7],[5]]=>3
[1,2,3,7,4,6,5]=>[[1,2,3,4,6],[5],[7]]=>5
[1,2,3,7,5,4,6]=>[[1,2,3,4,7],[5],[6]]=>4
[1,2,3,7,5,6,4]=>[[1,2,3,4,6],[5],[7]]=>5
[1,2,3,7,6,4,5]=>[[1,2,3,4,7],[5],[6]]=>4
[1,2,3,7,6,5,4]=>[[1,2,3,4],[5],[6],[7]]=>6
[1,2,4,3,5,6,7]=>[[1,2,3,5,6,7],[4]]=>4
[1,2,4,3,5,7,6]=>[[1,2,3,5,6],[4,7]]=>5
[1,2,4,3,6,5,7]=>[[1,2,3,5,7],[4,6]]=>6
[1,2,4,3,6,7,5]=>[[1,2,3,5,6],[4,7]]=>5
[1,2,4,3,7,5,6]=>[[1,2,3,5,7],[4,6]]=>6
[1,2,4,3,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>7
[1,2,4,5,3,6,7]=>[[1,2,3,4,6,7],[5]]=>3
[1,2,4,5,3,7,6]=>[[1,2,3,4,6],[5,7]]=>4
[1,2,4,5,6,3,7]=>[[1,2,3,4,5,7],[6]]=>2
[1,2,4,5,6,7,3]=>[[1,2,3,4,5,6],[7]]=>1
[1,2,4,5,7,3,6]=>[[1,2,3,4,5],[6,7]]=>2
[1,2,4,5,7,6,3]=>[[1,2,3,4,5],[6],[7]]=>3
[1,2,4,6,3,5,7]=>[[1,2,3,4,7],[5,6]]=>3
[1,2,4,6,3,7,5]=>[[1,2,3,4,6],[5,7]]=>4
[1,2,4,6,5,3,7]=>[[1,2,3,4,7],[5],[6]]=>4
[1,2,4,6,5,7,3]=>[[1,2,3,4,6],[5],[7]]=>5
[1,2,4,6,7,3,5]=>[[1,2,3,4,5],[6,7]]=>2
[1,2,4,6,7,5,3]=>[[1,2,3,4,5],[6],[7]]=>3
[1,2,4,7,3,5,6]=>[[1,2,3,4,7],[5,6]]=>3
[1,2,4,7,3,6,5]=>[[1,2,3,4],[5,6],[7]]=>4
[1,2,4,7,5,3,6]=>[[1,2,3,4,7],[5],[6]]=>4
[1,2,4,7,5,6,3]=>[[1,2,3,4,6],[5],[7]]=>5
[1,2,4,7,6,3,5]=>[[1,2,3,4],[5,7],[6]]=>5
[1,2,4,7,6,5,3]=>[[1,2,3,4],[5],[6],[7]]=>6
[1,2,5,3,4,6,7]=>[[1,2,3,5,6,7],[4]]=>4
[1,2,5,3,4,7,6]=>[[1,2,3,5,6],[4,7]]=>5
[1,2,5,3,6,4,7]=>[[1,2,3,5,7],[4,6]]=>6
[1,2,5,3,6,7,4]=>[[1,2,3,5,6],[4,7]]=>5
[1,2,5,3,7,4,6]=>[[1,2,3,5,7],[4,6]]=>6
[1,2,5,3,7,6,4]=>[[1,2,3,5],[4,6],[7]]=>7
[1,2,5,4,3,6,7]=>[[1,2,3,6,7],[4],[5]]=>5
[1,2,5,4,3,7,6]=>[[1,2,3,6],[4,7],[5]]=>6
[1,2,5,4,6,3,7]=>[[1,2,3,5,7],[4],[6]]=>7
[1,2,5,4,6,7,3]=>[[1,2,3,5,6],[4],[7]]=>6
[1,2,5,4,7,3,6]=>[[1,2,3,5],[4,7],[6]]=>8
[1,2,5,4,7,6,3]=>[[1,2,3,5],[4,6],[7]]=>7
[1,2,5,6,3,4,7]=>[[1,2,3,4,7],[5,6]]=>3
[1,2,5,6,3,7,4]=>[[1,2,3,4,6],[5,7]]=>4
[1,2,5,6,4,3,7]=>[[1,2,3,4,7],[5],[6]]=>4
[1,2,5,6,4,7,3]=>[[1,2,3,4,6],[5],[7]]=>5
[1,2,5,6,7,3,4]=>[[1,2,3,4,5],[6,7]]=>2
[1,2,5,6,7,4,3]=>[[1,2,3,4,5],[6],[7]]=>3
[1,2,5,7,3,4,6]=>[[1,2,3,4,7],[5,6]]=>3
[1,2,5,7,3,6,4]=>[[1,2,3,4],[5,6],[7]]=>4
[1,2,5,7,4,3,6]=>[[1,2,3,4],[5,7],[6]]=>5
[1,2,5,7,4,6,3]=>[[1,2,3,4],[5,6],[7]]=>4
[1,2,5,7,6,3,4]=>[[1,2,3,4],[5,7],[6]]=>5
[1,2,5,7,6,4,3]=>[[1,2,3,4],[5],[6],[7]]=>6
[1,2,6,3,4,5,7]=>[[1,2,3,5,6,7],[4]]=>4
[1,2,6,3,4,7,5]=>[[1,2,3,5,6],[4,7]]=>5
[1,2,6,3,5,4,7]=>[[1,2,3,5,7],[4],[6]]=>7
[1,2,6,3,5,7,4]=>[[1,2,3,5,6],[4],[7]]=>6
[1,2,6,3,7,4,5]=>[[1,2,3,5,7],[4,6]]=>6
[1,2,6,3,7,5,4]=>[[1,2,3,5],[4,6],[7]]=>7
[1,2,6,4,3,5,7]=>[[1,2,3,6,7],[4],[5]]=>5
[1,2,6,4,3,7,5]=>[[1,2,3,6],[4,7],[5]]=>6
[1,2,6,4,5,3,7]=>[[1,2,3,5,7],[4],[6]]=>7
[1,2,6,4,5,7,3]=>[[1,2,3,5,6],[4],[7]]=>6
[1,2,6,4,7,3,5]=>[[1,2,3,5],[4,7],[6]]=>8
[1,2,6,4,7,5,3]=>[[1,2,3,5],[4,6],[7]]=>7
[1,2,6,5,3,4,7]=>[[1,2,3,6,7],[4],[5]]=>5
[1,2,6,5,3,7,4]=>[[1,2,3,6],[4,7],[5]]=>6
[1,2,6,5,4,3,7]=>[[1,2,3,7],[4],[5],[6]]=>7
[1,2,6,5,4,7,3]=>[[1,2,3,6],[4],[5],[7]]=>8
[1,2,6,5,7,3,4]=>[[1,2,3,5],[4,7],[6]]=>8
[1,2,6,5,7,4,3]=>[[1,2,3,5],[4],[6],[7]]=>9
[1,2,6,7,3,4,5]=>[[1,2,3,4,7],[5,6]]=>3
[1,2,6,7,3,5,4]=>[[1,2,3,4],[5,6],[7]]=>4
[1,2,6,7,4,3,5]=>[[1,2,3,4],[5,7],[6]]=>5
[1,2,6,7,4,5,3]=>[[1,2,3,4],[5,6],[7]]=>4
[1,2,6,7,5,3,4]=>[[1,2,3,4],[5,7],[6]]=>5
[1,2,6,7,5,4,3]=>[[1,2,3,4],[5],[6],[7]]=>6
[1,2,7,3,4,5,6]=>[[1,2,3,5,6,7],[4]]=>4
[1,2,7,3,4,6,5]=>[[1,2,3,5,6],[4],[7]]=>6
[1,2,7,3,5,4,6]=>[[1,2,3,5,7],[4],[6]]=>7
[1,2,7,3,5,6,4]=>[[1,2,3,5,6],[4],[7]]=>6
[1,2,7,3,6,4,5]=>[[1,2,3,5,7],[4],[6]]=>7
[1,2,7,3,6,5,4]=>[[1,2,3,5],[4],[6],[7]]=>9
[1,2,7,4,3,5,6]=>[[1,2,3,6,7],[4],[5]]=>5
[1,2,7,4,3,6,5]=>[[1,2,3,6],[4,7],[5]]=>6
[1,2,7,4,5,3,6]=>[[1,2,3,5,7],[4],[6]]=>7
[1,2,7,4,5,6,3]=>[[1,2,3,5,6],[4],[7]]=>6
[1,2,7,4,6,3,5]=>[[1,2,3,5],[4,7],[6]]=>8
[1,2,7,4,6,5,3]=>[[1,2,3,5],[4],[6],[7]]=>9
[1,2,7,5,3,4,6]=>[[1,2,3,6,7],[4],[5]]=>5
[1,2,7,5,3,6,4]=>[[1,2,3,6],[4,7],[5]]=>6
[1,2,7,5,4,3,6]=>[[1,2,3,7],[4],[5],[6]]=>7
[1,2,7,5,4,6,3]=>[[1,2,3,6],[4],[5],[7]]=>8
[1,2,7,5,6,3,4]=>[[1,2,3,5],[4,7],[6]]=>8
[1,2,7,5,6,4,3]=>[[1,2,3,5],[4],[6],[7]]=>9
[1,2,7,6,3,4,5]=>[[1,2,3,6,7],[4],[5]]=>5
[1,2,7,6,3,5,4]=>[[1,2,3,6],[4],[5],[7]]=>8
[1,2,7,6,4,3,5]=>[[1,2,3,7],[4],[5],[6]]=>7
[1,2,7,6,4,5,3]=>[[1,2,3,6],[4],[5],[7]]=>8
[1,2,7,6,5,3,4]=>[[1,2,3,7],[4],[5],[6]]=>7
[1,2,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7]]=>10
[1,3,2,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>5
[1,3,2,4,5,7,6]=>[[1,2,4,5,6],[3,7]]=>6
[1,3,2,4,6,5,7]=>[[1,2,4,5,7],[3,6]]=>7
[1,3,2,4,6,7,5]=>[[1,2,4,5,6],[3,7]]=>6
[1,3,2,4,7,5,6]=>[[1,2,4,5,7],[3,6]]=>7
[1,3,2,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>8
[1,3,2,5,4,6,7]=>[[1,2,4,6,7],[3,5]]=>8
[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]]=>7
[1,3,2,5,6,7,4]=>[[1,2,4,5,6],[3,7]]=>6
[1,3,2,5,7,4,6]=>[[1,2,4,5],[3,6,7]]=>7
[1,3,2,5,7,6,4]=>[[1,2,4,5],[3,6],[7]]=>8
[1,3,2,6,4,5,7]=>[[1,2,4,6,7],[3,5]]=>8
[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]]=>9
[1,3,2,6,5,7,4]=>[[1,2,4,6],[3,5],[7]]=>10
[1,3,2,6,7,4,5]=>[[1,2,4,5],[3,6,7]]=>7
[1,3,2,6,7,5,4]=>[[1,2,4,5],[3,6],[7]]=>8
[1,3,2,7,4,5,6]=>[[1,2,4,6,7],[3,5]]=>8
[1,3,2,7,4,6,5]=>[[1,2,4,6],[3,5],[7]]=>10
[1,3,2,7,5,4,6]=>[[1,2,4,7],[3,5],[6]]=>9
[1,3,2,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>10
[1,3,2,7,6,4,5]=>[[1,2,4,7],[3,5],[6]]=>9
[1,3,2,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>11
[1,3,4,2,5,6,7]=>[[1,2,3,5,6,7],[4]]=>4
[1,3,4,2,5,7,6]=>[[1,2,3,5,6],[4,7]]=>5
[1,3,4,2,6,5,7]=>[[1,2,3,5,7],[4,6]]=>6
[1,3,4,2,6,7,5]=>[[1,2,3,5,6],[4,7]]=>5
[1,3,4,2,7,5,6]=>[[1,2,3,5,7],[4,6]]=>6
[1,3,4,2,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>7
[1,3,4,5,2,6,7]=>[[1,2,3,4,6,7],[5]]=>3
[1,3,4,5,2,7,6]=>[[1,2,3,4,6],[5,7]]=>4
[1,3,4,5,6,2,7]=>[[1,2,3,4,5,7],[6]]=>2
[1,3,4,5,6,7,2]=>[[1,2,3,4,5,6],[7]]=>1
[1,3,4,5,7,2,6]=>[[1,2,3,4,5],[6,7]]=>2
[1,3,4,5,7,6,2]=>[[1,2,3,4,5],[6],[7]]=>3
[1,3,4,6,2,5,7]=>[[1,2,3,4,7],[5,6]]=>3
[1,3,4,6,2,7,5]=>[[1,2,3,4,6],[5,7]]=>4
[1,3,4,6,5,2,7]=>[[1,2,3,4,7],[5],[6]]=>4
[1,3,4,6,5,7,2]=>[[1,2,3,4,6],[5],[7]]=>5
[1,3,4,6,7,2,5]=>[[1,2,3,4,5],[6,7]]=>2
[1,3,4,6,7,5,2]=>[[1,2,3,4,5],[6],[7]]=>3
[1,3,4,7,2,5,6]=>[[1,2,3,4,7],[5,6]]=>3
[1,3,4,7,2,6,5]=>[[1,2,3,4],[5,6],[7]]=>4
[1,3,4,7,5,2,6]=>[[1,2,3,4,7],[5],[6]]=>4
[1,3,4,7,5,6,2]=>[[1,2,3,4,6],[5],[7]]=>5
[1,3,4,7,6,2,5]=>[[1,2,3,4],[5,7],[6]]=>5
[1,3,4,7,6,5,2]=>[[1,2,3,4],[5],[6],[7]]=>6
[1,3,5,2,4,6,7]=>[[1,2,3,6,7],[4,5]]=>4
[1,3,5,2,4,7,6]=>[[1,2,3,6],[4,5,7]]=>5
[1,3,5,2,6,4,7]=>[[1,2,3,5,7],[4,6]]=>6
[1,3,5,2,6,7,4]=>[[1,2,3,5,6],[4,7]]=>5
[1,3,5,2,7,4,6]=>[[1,2,3,5],[4,6,7]]=>6
[1,3,5,2,7,6,4]=>[[1,2,3,5],[4,6],[7]]=>7
[1,3,5,4,2,6,7]=>[[1,2,3,6,7],[4],[5]]=>5
[1,3,5,4,2,7,6]=>[[1,2,3,6],[4,7],[5]]=>6
[1,3,5,4,6,2,7]=>[[1,2,3,5,7],[4],[6]]=>7
[1,3,5,4,6,7,2]=>[[1,2,3,5,6],[4],[7]]=>6
[1,3,5,4,7,2,6]=>[[1,2,3,5],[4,7],[6]]=>8
[1,3,5,4,7,6,2]=>[[1,2,3,5],[4,6],[7]]=>7
[1,3,5,6,2,4,7]=>[[1,2,3,4,7],[5,6]]=>3
[1,3,5,6,2,7,4]=>[[1,2,3,4,6],[5,7]]=>4
[1,3,5,6,4,2,7]=>[[1,2,3,4,7],[5],[6]]=>4
[1,3,5,6,4,7,2]=>[[1,2,3,4,6],[5],[7]]=>5
[1,3,5,6,7,2,4]=>[[1,2,3,4,5],[6,7]]=>2
[1,3,5,6,7,4,2]=>[[1,2,3,4,5],[6],[7]]=>3
[1,3,5,7,2,4,6]=>[[1,2,3,4],[5,6,7]]=>3
[1,3,5,7,2,6,4]=>[[1,2,3,4],[5,6],[7]]=>4
[1,3,5,7,4,2,6]=>[[1,2,3,4],[5,7],[6]]=>5
[1,3,5,7,4,6,2]=>[[1,2,3,4],[5,6],[7]]=>4
[1,3,5,7,6,2,4]=>[[1,2,3,4],[5,7],[6]]=>5
[1,3,5,7,6,4,2]=>[[1,2,3,4],[5],[6],[7]]=>6
[1,3,6,2,4,5,7]=>[[1,2,3,6,7],[4,5]]=>4
[1,3,6,2,4,7,5]=>[[1,2,3,6],[4,5,7]]=>5
[1,3,6,2,5,4,7]=>[[1,2,3,7],[4,5],[6]]=>5
[1,3,6,2,5,7,4]=>[[1,2,3,6],[4,5],[7]]=>6
[1,3,6,2,7,4,5]=>[[1,2,3,5],[4,6,7]]=>6
[1,3,6,2,7,5,4]=>[[1,2,3,5],[4,6],[7]]=>7
[1,3,6,4,2,5,7]=>[[1,2,3,6,7],[4],[5]]=>5
[1,3,6,4,2,7,5]=>[[1,2,3,6],[4,7],[5]]=>6
[1,3,6,4,5,2,7]=>[[1,2,3,5,7],[4],[6]]=>7
[1,3,6,4,5,7,2]=>[[1,2,3,5,6],[4],[7]]=>6
[1,3,6,4,7,2,5]=>[[1,2,3,5],[4,7],[6]]=>8
[1,3,6,4,7,5,2]=>[[1,2,3,5],[4,6],[7]]=>7
[1,3,6,5,2,4,7]=>[[1,2,3,7],[4,6],[5]]=>7
[1,3,6,5,2,7,4]=>[[1,2,3,6],[4,7],[5]]=>6
[1,3,6,5,4,2,7]=>[[1,2,3,7],[4],[5],[6]]=>7
[1,3,6,5,4,7,2]=>[[1,2,3,6],[4],[5],[7]]=>8
[1,3,6,5,7,2,4]=>[[1,2,3,5],[4,7],[6]]=>8
[1,3,6,5,7,4,2]=>[[1,2,3,5],[4],[6],[7]]=>9
[1,3,6,7,2,4,5]=>[[1,2,3,4],[5,6,7]]=>3
[1,3,6,7,2,5,4]=>[[1,2,3,4],[5,6],[7]]=>4
[1,3,6,7,4,2,5]=>[[1,2,3,4],[5,7],[6]]=>5
[1,3,6,7,4,5,2]=>[[1,2,3,4],[5,6],[7]]=>4
[1,3,6,7,5,2,4]=>[[1,2,3,4],[5,7],[6]]=>5
[1,3,6,7,5,4,2]=>[[1,2,3,4],[5],[6],[7]]=>6
[1,3,7,2,4,5,6]=>[[1,2,3,6,7],[4,5]]=>4
[1,3,7,2,4,6,5]=>[[1,2,3,6],[4,5],[7]]=>6
[1,3,7,2,5,4,6]=>[[1,2,3,7],[4,5],[6]]=>5
[1,3,7,2,5,6,4]=>[[1,2,3,6],[4,5],[7]]=>6
[1,3,7,2,6,4,5]=>[[1,2,3,7],[4,5],[6]]=>5
[1,3,7,2,6,5,4]=>[[1,2,3],[4,5],[6],[7]]=>7
[1,3,7,4,2,5,6]=>[[1,2,3,6,7],[4],[5]]=>5
[1,3,7,4,2,6,5]=>[[1,2,3,6],[4,7],[5]]=>6
[1,3,7,4,5,2,6]=>[[1,2,3,5,7],[4],[6]]=>7
[1,3,7,4,5,6,2]=>[[1,2,3,5,6],[4],[7]]=>6
[1,3,7,4,6,2,5]=>[[1,2,3,5],[4,7],[6]]=>8
[1,3,7,4,6,5,2]=>[[1,2,3,5],[4],[6],[7]]=>9
[1,3,7,5,2,4,6]=>[[1,2,3,7],[4,6],[5]]=>7
[1,3,7,5,2,6,4]=>[[1,2,3,6],[4,7],[5]]=>6
[1,3,7,5,4,2,6]=>[[1,2,3,7],[4],[5],[6]]=>7
[1,3,7,5,4,6,2]=>[[1,2,3,6],[4],[5],[7]]=>8
[1,3,7,5,6,2,4]=>[[1,2,3,5],[4,7],[6]]=>8
[1,3,7,5,6,4,2]=>[[1,2,3,5],[4],[6],[7]]=>9
[1,3,7,6,2,4,5]=>[[1,2,3,7],[4,6],[5]]=>7
[1,3,7,6,2,5,4]=>[[1,2,3],[4,6],[5],[7]]=>9
[1,3,7,6,4,2,5]=>[[1,2,3,7],[4],[5],[6]]=>7
[1,3,7,6,4,5,2]=>[[1,2,3,6],[4],[5],[7]]=>8
[1,3,7,6,5,2,4]=>[[1,2,3],[4,7],[5],[6]]=>8
[1,3,7,6,5,4,2]=>[[1,2,3],[4],[5],[6],[7]]=>10
[1,4,2,3,5,6,7]=>[[1,2,4,5,6,7],[3]]=>5
[1,4,2,3,5,7,6]=>[[1,2,4,5,6],[3,7]]=>6
[1,4,2,3,6,5,7]=>[[1,2,4,5,7],[3,6]]=>7
[1,4,2,3,6,7,5]=>[[1,2,4,5,6],[3,7]]=>6
[1,4,2,3,7,5,6]=>[[1,2,4,5,7],[3,6]]=>7
[1,4,2,3,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>8
[1,4,2,5,3,6,7]=>[[1,2,4,6,7],[3,5]]=>8
[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]]=>7
[1,4,2,5,6,7,3]=>[[1,2,4,5,6],[3,7]]=>6
[1,4,2,5,7,3,6]=>[[1,2,4,5],[3,6,7]]=>7
[1,4,2,5,7,6,3]=>[[1,2,4,5],[3,6],[7]]=>8
[1,4,2,6,3,5,7]=>[[1,2,4,6,7],[3,5]]=>8
[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]]=>9
[1,4,2,6,5,7,3]=>[[1,2,4,6],[3,5],[7]]=>10
[1,4,2,6,7,3,5]=>[[1,2,4,5],[3,6,7]]=>7
[1,4,2,6,7,5,3]=>[[1,2,4,5],[3,6],[7]]=>8
[1,4,2,7,3,5,6]=>[[1,2,4,6,7],[3,5]]=>8
[1,4,2,7,3,6,5]=>[[1,2,4,6],[3,5],[7]]=>10
[1,4,2,7,5,3,6]=>[[1,2,4,7],[3,5],[6]]=>9
[1,4,2,7,5,6,3]=>[[1,2,4,6],[3,5],[7]]=>10
[1,4,2,7,6,3,5]=>[[1,2,4,7],[3,5],[6]]=>9
[1,4,2,7,6,5,3]=>[[1,2,4],[3,5],[6],[7]]=>11
[1,4,3,2,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>6
[1,4,3,2,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>7
[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]]=>7
[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]]=>9
[1,4,3,5,2,6,7]=>[[1,2,4,6,7],[3],[5]]=>9
[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]]=>8
[1,4,3,5,6,7,2]=>[[1,2,4,5,6],[3],[7]]=>7
[1,4,3,5,7,2,6]=>[[1,2,4,5],[3,7],[6]]=>9
[1,4,3,5,7,6,2]=>[[1,2,4,5],[3,6],[7]]=>8
[1,4,3,6,2,5,7]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[1,4,3,6,5,7,2]=>[[1,2,4,6],[3,5],[7]]=>10
[1,4,3,6,7,2,5]=>[[1,2,4,5],[3,7],[6]]=>9
[1,4,3,6,7,5,2]=>[[1,2,4,5],[3,6],[7]]=>8
[1,4,3,7,2,5,6]=>[[1,2,4,7],[3,6],[5]]=>11
[1,4,3,7,2,6,5]=>[[1,2,4],[3,6],[5,7]]=>12
[1,4,3,7,5,2,6]=>[[1,2,4,7],[3,5],[6]]=>9
[1,4,3,7,5,6,2]=>[[1,2,4,6],[3,5],[7]]=>10
[1,4,3,7,6,2,5]=>[[1,2,4],[3,5],[6,7]]=>10
[1,4,3,7,6,5,2]=>[[1,2,4],[3,5],[6],[7]]=>11
[1,4,5,2,3,6,7]=>[[1,2,3,6,7],[4,5]]=>4
[1,4,5,2,3,7,6]=>[[1,2,3,6],[4,5,7]]=>5
[1,4,5,2,6,3,7]=>[[1,2,3,5,7],[4,6]]=>6
[1,4,5,2,6,7,3]=>[[1,2,3,5,6],[4,7]]=>5
[1,4,5,2,7,3,6]=>[[1,2,3,5],[4,6,7]]=>6
[1,4,5,2,7,6,3]=>[[1,2,3,5],[4,6],[7]]=>7
[1,4,5,3,2,6,7]=>[[1,2,3,6,7],[4],[5]]=>5
[1,4,5,3,2,7,6]=>[[1,2,3,6],[4,7],[5]]=>6
[1,4,5,3,6,2,7]=>[[1,2,3,5,7],[4],[6]]=>7
[1,4,5,3,6,7,2]=>[[1,2,3,5,6],[4],[7]]=>6
[1,4,5,3,7,2,6]=>[[1,2,3,5],[4,7],[6]]=>8
[1,4,5,3,7,6,2]=>[[1,2,3,5],[4,6],[7]]=>7
[1,4,5,6,2,3,7]=>[[1,2,3,4,7],[5,6]]=>3
[1,4,5,6,2,7,3]=>[[1,2,3,4,6],[5,7]]=>4
[1,4,5,6,3,2,7]=>[[1,2,3,4,7],[5],[6]]=>4
[1,4,5,6,3,7,2]=>[[1,2,3,4,6],[5],[7]]=>5
[1,4,5,6,7,2,3]=>[[1,2,3,4,5],[6,7]]=>2
[1,4,5,6,7,3,2]=>[[1,2,3,4,5],[6],[7]]=>3
[1,4,5,7,2,3,6]=>[[1,2,3,4],[5,6,7]]=>3
[1,4,5,7,2,6,3]=>[[1,2,3,4],[5,6],[7]]=>4
[1,4,5,7,3,2,6]=>[[1,2,3,4],[5,7],[6]]=>5
[1,4,5,7,3,6,2]=>[[1,2,3,4],[5,6],[7]]=>4
[1,4,5,7,6,2,3]=>[[1,2,3,4],[5,7],[6]]=>5
[1,4,5,7,6,3,2]=>[[1,2,3,4],[5],[6],[7]]=>6
[1,4,6,2,3,5,7]=>[[1,2,3,6,7],[4,5]]=>4
[1,4,6,2,3,7,5]=>[[1,2,3,6],[4,5,7]]=>5
[1,4,6,2,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>5
[1,4,6,2,5,7,3]=>[[1,2,3,6],[4,5],[7]]=>6
[1,4,6,2,7,3,5]=>[[1,2,3,5],[4,6,7]]=>6
[1,4,6,2,7,5,3]=>[[1,2,3,5],[4,6],[7]]=>7
[1,4,6,3,2,5,7]=>[[1,2,3,7],[4,6],[5]]=>7
[1,4,6,3,2,7,5]=>[[1,2,3,6],[4,7],[5]]=>6
[1,4,6,3,5,2,7]=>[[1,2,3,7],[4,5],[6]]=>5
[1,4,6,3,5,7,2]=>[[1,2,3,6],[4,5],[7]]=>6
[1,4,6,3,7,2,5]=>[[1,2,3,5],[4,7],[6]]=>8
[1,4,6,3,7,5,2]=>[[1,2,3,5],[4,6],[7]]=>7
[1,4,6,5,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>7
[1,4,6,5,2,7,3]=>[[1,2,3,6],[4,7],[5]]=>6
[1,4,6,5,3,2,7]=>[[1,2,3,7],[4],[5],[6]]=>7
[1,4,6,5,3,7,2]=>[[1,2,3,6],[4],[5],[7]]=>8
[1,4,6,5,7,2,3]=>[[1,2,3,5],[4,7],[6]]=>8
[1,4,6,5,7,3,2]=>[[1,2,3,5],[4],[6],[7]]=>9
[1,4,6,7,2,3,5]=>[[1,2,3,4],[5,6,7]]=>3
[1,4,6,7,2,5,3]=>[[1,2,3,4],[5,6],[7]]=>4
[1,4,6,7,3,2,5]=>[[1,2,3,4],[5,7],[6]]=>5
[1,4,6,7,3,5,2]=>[[1,2,3,4],[5,6],[7]]=>4
[1,4,6,7,5,2,3]=>[[1,2,3,4],[5,7],[6]]=>5
[1,4,6,7,5,3,2]=>[[1,2,3,4],[5],[6],[7]]=>6
[1,4,7,2,3,5,6]=>[[1,2,3,6,7],[4,5]]=>4
[1,4,7,2,3,6,5]=>[[1,2,3,6],[4,5],[7]]=>6
[1,4,7,2,5,3,6]=>[[1,2,3,7],[4,5],[6]]=>5
[1,4,7,2,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>6
[1,4,7,2,6,3,5]=>[[1,2,3,7],[4,5],[6]]=>5
[1,4,7,2,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>7
[1,4,7,3,2,5,6]=>[[1,2,3,7],[4,6],[5]]=>7
[1,4,7,3,2,6,5]=>[[1,2,3],[4,6],[5,7]]=>8
[1,4,7,3,5,2,6]=>[[1,2,3,7],[4,5],[6]]=>5
[1,4,7,3,5,6,2]=>[[1,2,3,6],[4,5],[7]]=>6
[1,4,7,3,6,2,5]=>[[1,2,3],[4,5],[6,7]]=>6
[1,4,7,3,6,5,2]=>[[1,2,3],[4,5],[6],[7]]=>7
[1,4,7,5,2,3,6]=>[[1,2,3,7],[4,6],[5]]=>7
[1,4,7,5,2,6,3]=>[[1,2,3,6],[4,7],[5]]=>6
[1,4,7,5,3,2,6]=>[[1,2,3,7],[4],[5],[6]]=>7
[1,4,7,5,3,6,2]=>[[1,2,3,6],[4],[5],[7]]=>8
[1,4,7,5,6,2,3]=>[[1,2,3,5],[4,7],[6]]=>8
[1,4,7,5,6,3,2]=>[[1,2,3,5],[4],[6],[7]]=>9
[1,4,7,6,2,3,5]=>[[1,2,3,7],[4,6],[5]]=>7
[1,4,7,6,2,5,3]=>[[1,2,3],[4,6],[5],[7]]=>9
[1,4,7,6,3,2,5]=>[[1,2,3],[4,7],[5],[6]]=>8
[1,4,7,6,3,5,2]=>[[1,2,3],[4,6],[5],[7]]=>9
[1,4,7,6,5,2,3]=>[[1,2,3],[4,7],[5],[6]]=>8
[1,4,7,6,5,3,2]=>[[1,2,3],[4],[5],[6],[7]]=>10
[1,5,2,3,4,6,7]=>[[1,2,4,5,6,7],[3]]=>5
[1,5,2,3,4,7,6]=>[[1,2,4,5,6],[3,7]]=>6
[1,5,2,3,6,4,7]=>[[1,2,4,5,7],[3,6]]=>7
[1,5,2,3,6,7,4]=>[[1,2,4,5,6],[3,7]]=>6
[1,5,2,3,7,4,6]=>[[1,2,4,5,7],[3,6]]=>7
[1,5,2,3,7,6,4]=>[[1,2,4,5],[3,6],[7]]=>8
[1,5,2,4,3,6,7]=>[[1,2,4,6,7],[3],[5]]=>9
[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]]=>8
[1,5,2,4,6,7,3]=>[[1,2,4,5,6],[3],[7]]=>7
[1,5,2,4,7,3,6]=>[[1,2,4,5],[3,7],[6]]=>9
[1,5,2,4,7,6,3]=>[[1,2,4,5],[3,6],[7]]=>8
[1,5,2,6,3,4,7]=>[[1,2,4,6,7],[3,5]]=>8
[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]]=>9
[1,5,2,6,4,7,3]=>[[1,2,4,6],[3,5],[7]]=>10
[1,5,2,6,7,3,4]=>[[1,2,4,5],[3,6,7]]=>7
[1,5,2,6,7,4,3]=>[[1,2,4,5],[3,6],[7]]=>8
[1,5,2,7,3,4,6]=>[[1,2,4,6,7],[3,5]]=>8
[1,5,2,7,3,6,4]=>[[1,2,4,6],[3,5],[7]]=>10
[1,5,2,7,4,3,6]=>[[1,2,4,7],[3,5],[6]]=>9
[1,5,2,7,4,6,3]=>[[1,2,4,6],[3,5],[7]]=>10
[1,5,2,7,6,3,4]=>[[1,2,4,7],[3,5],[6]]=>9
[1,5,2,7,6,4,3]=>[[1,2,4],[3,5],[6],[7]]=>11
[1,5,3,2,4,6,7]=>[[1,2,5,6,7],[3],[4]]=>6
[1,5,3,2,4,7,6]=>[[1,2,5,6],[3,7],[4]]=>7
[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]]=>7
[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]]=>9
[1,5,3,4,2,6,7]=>[[1,2,4,6,7],[3],[5]]=>9
[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]]=>8
[1,5,3,4,6,7,2]=>[[1,2,4,5,6],[3],[7]]=>7
[1,5,3,4,7,2,6]=>[[1,2,4,5],[3,7],[6]]=>9
[1,5,3,4,7,6,2]=>[[1,2,4,5],[3,6],[7]]=>8
[1,5,3,6,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[1,5,3,6,4,7,2]=>[[1,2,4,6],[3,5],[7]]=>10
[1,5,3,6,7,2,4]=>[[1,2,4,5],[3,7],[6]]=>9
[1,5,3,6,7,4,2]=>[[1,2,4,5],[3,6],[7]]=>8
[1,5,3,7,2,4,6]=>[[1,2,4,7],[3,6],[5]]=>11
[1,5,3,7,2,6,4]=>[[1,2,4],[3,6],[5,7]]=>12
[1,5,3,7,4,2,6]=>[[1,2,4,7],[3,5],[6]]=>9
[1,5,3,7,4,6,2]=>[[1,2,4,6],[3,5],[7]]=>10
[1,5,3,7,6,2,4]=>[[1,2,4],[3,5],[6,7]]=>10
[1,5,3,7,6,4,2]=>[[1,2,4],[3,5],[6],[7]]=>11
[1,5,4,2,3,6,7]=>[[1,2,5,6,7],[3],[4]]=>6
[1,5,4,2,3,7,6]=>[[1,2,5,6],[3,7],[4]]=>7
[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]]=>7
[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]]=>9
[1,5,4,3,2,6,7]=>[[1,2,6,7],[3],[4],[5]]=>8
[1,5,4,3,2,7,6]=>[[1,2,6],[3,7],[4],[5]]=>9
[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]]=>9
[1,5,4,3,7,2,6]=>[[1,2,5],[3,7],[4],[6]]=>11
[1,5,4,3,7,6,2]=>[[1,2,5],[3,6],[4],[7]]=>10
[1,5,4,6,2,3,7]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[1,5,4,6,7,3,2]=>[[1,2,4,5],[3],[6],[7]]=>10
[1,5,4,7,2,3,6]=>[[1,2,4,7],[3,6],[5]]=>11
[1,5,4,7,2,6,3]=>[[1,2,4],[3,6],[5,7]]=>12
[1,5,4,7,3,2,6]=>[[1,2,4],[3,7],[5],[6]]=>12
[1,5,4,7,3,6,2]=>[[1,2,4],[3,6],[5],[7]]=>13
[1,5,4,7,6,2,3]=>[[1,2,4],[3,5],[6,7]]=>10
[1,5,4,7,6,3,2]=>[[1,2,4],[3,5],[6],[7]]=>11
[1,5,6,2,3,4,7]=>[[1,2,3,6,7],[4,5]]=>4
[1,5,6,2,3,7,4]=>[[1,2,3,6],[4,5,7]]=>5
[1,5,6,2,4,3,7]=>[[1,2,3,7],[4,5],[6]]=>5
[1,5,6,2,4,7,3]=>[[1,2,3,6],[4,5],[7]]=>6
[1,5,6,2,7,3,4]=>[[1,2,3,5],[4,6,7]]=>6
[1,5,6,2,7,4,3]=>[[1,2,3,5],[4,6],[7]]=>7
[1,5,6,3,2,4,7]=>[[1,2,3,7],[4,6],[5]]=>7
[1,5,6,3,2,7,4]=>[[1,2,3,6],[4,7],[5]]=>6
[1,5,6,3,4,2,7]=>[[1,2,3,7],[4,5],[6]]=>5
[1,5,6,3,4,7,2]=>[[1,2,3,6],[4,5],[7]]=>6
[1,5,6,3,7,2,4]=>[[1,2,3,5],[4,7],[6]]=>8
[1,5,6,3,7,4,2]=>[[1,2,3,5],[4,6],[7]]=>7
[1,5,6,4,2,3,7]=>[[1,2,3,7],[4,6],[5]]=>7
[1,5,6,4,2,7,3]=>[[1,2,3,6],[4,7],[5]]=>6
[1,5,6,4,3,2,7]=>[[1,2,3,7],[4],[5],[6]]=>7
[1,5,6,4,3,7,2]=>[[1,2,3,6],[4],[5],[7]]=>8
[1,5,6,4,7,2,3]=>[[1,2,3,5],[4,7],[6]]=>8
[1,5,6,4,7,3,2]=>[[1,2,3,5],[4],[6],[7]]=>9
[1,5,6,7,2,3,4]=>[[1,2,3,4],[5,6,7]]=>3
[1,5,6,7,2,4,3]=>[[1,2,3,4],[5,6],[7]]=>4
[1,5,6,7,3,2,4]=>[[1,2,3,4],[5,7],[6]]=>5
[1,5,6,7,3,4,2]=>[[1,2,3,4],[5,6],[7]]=>4
[1,5,6,7,4,2,3]=>[[1,2,3,4],[5,7],[6]]=>5
[1,5,6,7,4,3,2]=>[[1,2,3,4],[5],[6],[7]]=>6
[1,5,7,2,3,4,6]=>[[1,2,3,6,7],[4,5]]=>4
[1,5,7,2,3,6,4]=>[[1,2,3,6],[4,5],[7]]=>6
[1,5,7,2,4,3,6]=>[[1,2,3,7],[4,5],[6]]=>5
[1,5,7,2,4,6,3]=>[[1,2,3,6],[4,5],[7]]=>6
[1,5,7,2,6,3,4]=>[[1,2,3,7],[4,5],[6]]=>5
[1,5,7,2,6,4,3]=>[[1,2,3],[4,5],[6],[7]]=>7
[1,5,7,3,2,4,6]=>[[1,2,3,7],[4,6],[5]]=>7
[1,5,7,3,2,6,4]=>[[1,2,3],[4,6],[5,7]]=>8
[1,5,7,3,4,2,6]=>[[1,2,3,7],[4,5],[6]]=>5
[1,5,7,3,4,6,2]=>[[1,2,3,6],[4,5],[7]]=>6
[1,5,7,3,6,2,4]=>[[1,2,3],[4,5],[6,7]]=>6
[1,5,7,3,6,4,2]=>[[1,2,3],[4,5],[6],[7]]=>7
[1,5,7,4,2,3,6]=>[[1,2,3,7],[4,6],[5]]=>7
[1,5,7,4,2,6,3]=>[[1,2,3],[4,6],[5,7]]=>8
[1,5,7,4,3,2,6]=>[[1,2,3],[4,7],[5],[6]]=>8
[1,5,7,4,3,6,2]=>[[1,2,3],[4,6],[5],[7]]=>9
[1,5,7,4,6,2,3]=>[[1,2,3],[4,5],[6,7]]=>6
[1,5,7,4,6,3,2]=>[[1,2,3],[4,5],[6],[7]]=>7
[1,5,7,6,2,3,4]=>[[1,2,3,7],[4,6],[5]]=>7
[1,5,7,6,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>9
[1,5,7,6,3,2,4]=>[[1,2,3],[4,7],[5],[6]]=>8
[1,5,7,6,3,4,2]=>[[1,2,3],[4,6],[5],[7]]=>9
[1,5,7,6,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>8
[1,5,7,6,4,3,2]=>[[1,2,3],[4],[5],[6],[7]]=>10
[1,6,2,3,4,5,7]=>[[1,2,4,5,6,7],[3]]=>5
[1,6,2,3,4,7,5]=>[[1,2,4,5,6],[3,7]]=>6
[1,6,2,3,5,4,7]=>[[1,2,4,5,7],[3],[6]]=>8
[1,6,2,3,5,7,4]=>[[1,2,4,5,6],[3],[7]]=>7
[1,6,2,3,7,4,5]=>[[1,2,4,5,7],[3,6]]=>7
[1,6,2,3,7,5,4]=>[[1,2,4,5],[3,6],[7]]=>8
[1,6,2,4,3,5,7]=>[[1,2,4,6,7],[3],[5]]=>9
[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]]=>8
[1,6,2,4,5,7,3]=>[[1,2,4,5,6],[3],[7]]=>7
[1,6,2,4,7,3,5]=>[[1,2,4,5],[3,7],[6]]=>9
[1,6,2,4,7,5,3]=>[[1,2,4,5],[3,6],[7]]=>8
[1,6,2,5,3,4,7]=>[[1,2,4,6,7],[3],[5]]=>9
[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]]=>9
[1,6,2,5,7,4,3]=>[[1,2,4,5],[3],[6],[7]]=>10
[1,6,2,7,3,4,5]=>[[1,2,4,6,7],[3,5]]=>8
[1,6,2,7,3,5,4]=>[[1,2,4,6],[3,5],[7]]=>10
[1,6,2,7,4,3,5]=>[[1,2,4,7],[3,5],[6]]=>9
[1,6,2,7,4,5,3]=>[[1,2,4,6],[3,5],[7]]=>10
[1,6,2,7,5,3,4]=>[[1,2,4,7],[3,5],[6]]=>9
[1,6,2,7,5,4,3]=>[[1,2,4],[3,5],[6],[7]]=>11
[1,6,3,2,4,5,7]=>[[1,2,5,6,7],[3],[4]]=>6
[1,6,3,2,4,7,5]=>[[1,2,5,6],[3,7],[4]]=>7
[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]]=>7
[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]]=>9
[1,6,3,4,2,5,7]=>[[1,2,4,6,7],[3],[5]]=>9
[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]]=>8
[1,6,3,4,5,7,2]=>[[1,2,4,5,6],[3],[7]]=>7
[1,6,3,4,7,2,5]=>[[1,2,4,5],[3,7],[6]]=>9
[1,6,3,4,7,5,2]=>[[1,2,4,5],[3,6],[7]]=>8
[1,6,3,5,2,4,7]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[1,6,3,5,7,4,2]=>[[1,2,4,5],[3],[6],[7]]=>10
[1,6,3,7,2,4,5]=>[[1,2,4,7],[3,6],[5]]=>11
[1,6,3,7,2,5,4]=>[[1,2,4],[3,6],[5,7]]=>12
[1,6,3,7,4,2,5]=>[[1,2,4,7],[3,5],[6]]=>9
[1,6,3,7,4,5,2]=>[[1,2,4,6],[3,5],[7]]=>10
[1,6,3,7,5,2,4]=>[[1,2,4],[3,5],[6,7]]=>10
[1,6,3,7,5,4,2]=>[[1,2,4],[3,5],[6],[7]]=>11
[1,6,4,2,3,5,7]=>[[1,2,5,6,7],[3],[4]]=>6
[1,6,4,2,3,7,5]=>[[1,2,5,6],[3,7],[4]]=>7
[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]]=>7
[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]]=>9
[1,6,4,3,2,5,7]=>[[1,2,6,7],[3],[4],[5]]=>8
[1,6,4,3,2,7,5]=>[[1,2,6],[3,7],[4],[5]]=>9
[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]]=>9
[1,6,4,3,7,2,5]=>[[1,2,5],[3,7],[4],[6]]=>11
[1,6,4,3,7,5,2]=>[[1,2,5],[3,6],[4],[7]]=>10
[1,6,4,5,2,3,7]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[1,6,4,5,7,3,2]=>[[1,2,4,5],[3],[6],[7]]=>10
[1,6,4,7,2,3,5]=>[[1,2,4,7],[3,6],[5]]=>11
[1,6,4,7,2,5,3]=>[[1,2,4],[3,6],[5,7]]=>12
[1,6,4,7,3,2,5]=>[[1,2,4],[3,7],[5],[6]]=>12
[1,6,4,7,3,5,2]=>[[1,2,4],[3,6],[5],[7]]=>13
[1,6,4,7,5,2,3]=>[[1,2,4],[3,5],[6,7]]=>10
[1,6,4,7,5,3,2]=>[[1,2,4],[3,5],[6],[7]]=>11
[1,6,5,2,3,4,7]=>[[1,2,5,6,7],[3],[4]]=>6
[1,6,5,2,3,7,4]=>[[1,2,5,6],[3,7],[4]]=>7
[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]]=>9
[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]]=>10
[1,6,5,3,2,4,7]=>[[1,2,6,7],[3],[4],[5]]=>8
[1,6,5,3,2,7,4]=>[[1,2,6],[3,7],[4],[5]]=>9
[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]]=>9
[1,6,5,3,7,2,4]=>[[1,2,5],[3,7],[4],[6]]=>11
[1,6,5,3,7,4,2]=>[[1,2,5],[3,6],[4],[7]]=>10
[1,6,5,4,2,3,7]=>[[1,2,6,7],[3],[4],[5]]=>8
[1,6,5,4,2,7,3]=>[[1,2,6],[3,7],[4],[5]]=>9
[1,6,5,4,3,2,7]=>[[1,2,7],[3],[4],[5],[6]]=>11
[1,6,5,4,3,7,2]=>[[1,2,6],[3],[4],[5],[7]]=>12
[1,6,5,4,7,2,3]=>[[1,2,5],[3,7],[4],[6]]=>11
[1,6,5,4,7,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>13
[1,6,5,7,2,3,4]=>[[1,2,4,7],[3,6],[5]]=>11
[1,6,5,7,2,4,3]=>[[1,2,4],[3,6],[5],[7]]=>13
[1,6,5,7,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>12
[1,6,5,7,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>13
[1,6,5,7,4,2,3]=>[[1,2,4],[3,7],[5],[6]]=>12
[1,6,5,7,4,3,2]=>[[1,2,4],[3],[5],[6],[7]]=>14
[1,6,7,2,3,4,5]=>[[1,2,3,6,7],[4,5]]=>4
[1,6,7,2,3,5,4]=>[[1,2,3,6],[4,5],[7]]=>6
[1,6,7,2,4,3,5]=>[[1,2,3,7],[4,5],[6]]=>5
[1,6,7,2,4,5,3]=>[[1,2,3,6],[4,5],[7]]=>6
[1,6,7,2,5,3,4]=>[[1,2,3,7],[4,5],[6]]=>5
[1,6,7,2,5,4,3]=>[[1,2,3],[4,5],[6],[7]]=>7
[1,6,7,3,2,4,5]=>[[1,2,3,7],[4,6],[5]]=>7
[1,6,7,3,2,5,4]=>[[1,2,3],[4,6],[5,7]]=>8
[1,6,7,3,4,2,5]=>[[1,2,3,7],[4,5],[6]]=>5
[1,6,7,3,4,5,2]=>[[1,2,3,6],[4,5],[7]]=>6
[1,6,7,3,5,2,4]=>[[1,2,3],[4,5],[6,7]]=>6
[1,6,7,3,5,4,2]=>[[1,2,3],[4,5],[6],[7]]=>7
[1,6,7,4,2,3,5]=>[[1,2,3,7],[4,6],[5]]=>7
[1,6,7,4,2,5,3]=>[[1,2,3],[4,6],[5,7]]=>8
[1,6,7,4,3,2,5]=>[[1,2,3],[4,7],[5],[6]]=>8
[1,6,7,4,3,5,2]=>[[1,2,3],[4,6],[5],[7]]=>9
[1,6,7,4,5,2,3]=>[[1,2,3],[4,5],[6,7]]=>6
[1,6,7,4,5,3,2]=>[[1,2,3],[4,5],[6],[7]]=>7
[1,6,7,5,2,3,4]=>[[1,2,3,7],[4,6],[5]]=>7
[1,6,7,5,2,4,3]=>[[1,2,3],[4,6],[5],[7]]=>9
[1,6,7,5,3,2,4]=>[[1,2,3],[4,7],[5],[6]]=>8
[1,6,7,5,3,4,2]=>[[1,2,3],[4,6],[5],[7]]=>9
[1,6,7,5,4,2,3]=>[[1,2,3],[4,7],[5],[6]]=>8
[1,6,7,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7]]=>10
[1,7,2,3,4,5,6]=>[[1,2,4,5,6,7],[3]]=>5
[1,7,2,3,4,6,5]=>[[1,2,4,5,6],[3],[7]]=>7
[1,7,2,3,5,4,6]=>[[1,2,4,5,7],[3],[6]]=>8
[1,7,2,3,5,6,4]=>[[1,2,4,5,6],[3],[7]]=>7
[1,7,2,3,6,4,5]=>[[1,2,4,5,7],[3],[6]]=>8
[1,7,2,3,6,5,4]=>[[1,2,4,5],[3],[6],[7]]=>10
[1,7,2,4,3,5,6]=>[[1,2,4,6,7],[3],[5]]=>9
[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]]=>8
[1,7,2,4,5,6,3]=>[[1,2,4,5,6],[3],[7]]=>7
[1,7,2,4,6,3,5]=>[[1,2,4,5],[3,7],[6]]=>9
[1,7,2,4,6,5,3]=>[[1,2,4,5],[3],[6],[7]]=>10
[1,7,2,5,3,4,6]=>[[1,2,4,6,7],[3],[5]]=>9
[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]]=>9
[1,7,2,5,6,4,3]=>[[1,2,4,5],[3],[6],[7]]=>10
[1,7,2,6,3,4,5]=>[[1,2,4,6,7],[3],[5]]=>9
[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]]=>14
[1,7,3,2,4,5,6]=>[[1,2,5,6,7],[3],[4]]=>6
[1,7,3,2,4,6,5]=>[[1,2,5,6],[3,7],[4]]=>7
[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]]=>7
[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]]=>10
[1,7,3,4,2,5,6]=>[[1,2,4,6,7],[3],[5]]=>9
[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]]=>8
[1,7,3,4,5,6,2]=>[[1,2,4,5,6],[3],[7]]=>7
[1,7,3,4,6,2,5]=>[[1,2,4,5],[3,7],[6]]=>9
[1,7,3,4,6,5,2]=>[[1,2,4,5],[3],[6],[7]]=>10
[1,7,3,5,2,4,6]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[1,7,3,5,6,4,2]=>[[1,2,4,5],[3],[6],[7]]=>10
[1,7,3,6,2,4,5]=>[[1,2,4,7],[3,6],[5]]=>11
[1,7,3,6,2,5,4]=>[[1,2,4],[3,6],[5],[7]]=>13
[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]]=>12
[1,7,3,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7]]=>14
[1,7,4,2,3,5,6]=>[[1,2,5,6,7],[3],[4]]=>6
[1,7,4,2,3,6,5]=>[[1,2,5,6],[3,7],[4]]=>7
[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]]=>7
[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]]=>10
[1,7,4,3,2,5,6]=>[[1,2,6,7],[3],[4],[5]]=>8
[1,7,4,3,2,6,5]=>[[1,2,6],[3,7],[4],[5]]=>9
[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]]=>9
[1,7,4,3,6,2,5]=>[[1,2,5],[3,7],[4],[6]]=>11
[1,7,4,3,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>10
[1,7,4,5,2,3,6]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[1,7,4,5,6,3,2]=>[[1,2,4,5],[3],[6],[7]]=>10
[1,7,4,6,2,3,5]=>[[1,2,4,7],[3,6],[5]]=>11
[1,7,4,6,2,5,3]=>[[1,2,4],[3,6],[5],[7]]=>13
[1,7,4,6,3,2,5]=>[[1,2,4],[3,7],[5],[6]]=>12
[1,7,4,6,3,5,2]=>[[1,2,4],[3,6],[5],[7]]=>13
[1,7,4,6,5,2,3]=>[[1,2,4],[3,7],[5],[6]]=>12
[1,7,4,6,5,3,2]=>[[1,2,4],[3],[5],[6],[7]]=>14
[1,7,5,2,3,4,6]=>[[1,2,5,6,7],[3],[4]]=>6
[1,7,5,2,3,6,4]=>[[1,2,5,6],[3,7],[4]]=>7
[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]]=>9
[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]]=>10
[1,7,5,3,2,4,6]=>[[1,2,6,7],[3],[4],[5]]=>8
[1,7,5,3,2,6,4]=>[[1,2,6],[3,7],[4],[5]]=>9
[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]]=>9
[1,7,5,3,6,2,4]=>[[1,2,5],[3,7],[4],[6]]=>11
[1,7,5,3,6,4,2]=>[[1,2,5],[3,6],[4],[7]]=>10
[1,7,5,4,2,3,6]=>[[1,2,6,7],[3],[4],[5]]=>8
[1,7,5,4,2,6,3]=>[[1,2,6],[3,7],[4],[5]]=>9
[1,7,5,4,3,2,6]=>[[1,2,7],[3],[4],[5],[6]]=>11
[1,7,5,4,3,6,2]=>[[1,2,6],[3],[4],[5],[7]]=>12
[1,7,5,4,6,2,3]=>[[1,2,5],[3,7],[4],[6]]=>11
[1,7,5,4,6,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>13
[1,7,5,6,2,3,4]=>[[1,2,4,7],[3,6],[5]]=>11
[1,7,5,6,2,4,3]=>[[1,2,4],[3,6],[5],[7]]=>13
[1,7,5,6,3,2,4]=>[[1,2,4],[3,7],[5],[6]]=>12
[1,7,5,6,3,4,2]=>[[1,2,4],[3,6],[5],[7]]=>13
[1,7,5,6,4,2,3]=>[[1,2,4],[3,7],[5],[6]]=>12
[1,7,5,6,4,3,2]=>[[1,2,4],[3],[5],[6],[7]]=>14
[1,7,6,2,3,4,5]=>[[1,2,5,6,7],[3],[4]]=>6
[1,7,6,2,3,5,4]=>[[1,2,5,6],[3],[4],[7]]=>9
[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]]=>9
[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]]=>13
[1,7,6,3,2,4,5]=>[[1,2,6,7],[3],[4],[5]]=>8
[1,7,6,3,2,5,4]=>[[1,2,6],[3,7],[4],[5]]=>9
[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]]=>9
[1,7,6,3,5,2,4]=>[[1,2,5],[3,7],[4],[6]]=>11
[1,7,6,3,5,4,2]=>[[1,2,5],[3],[4],[6],[7]]=>13
[1,7,6,4,2,3,5]=>[[1,2,6,7],[3],[4],[5]]=>8
[1,7,6,4,2,5,3]=>[[1,2,6],[3,7],[4],[5]]=>9
[1,7,6,4,3,2,5]=>[[1,2,7],[3],[4],[5],[6]]=>11
[1,7,6,4,3,5,2]=>[[1,2,6],[3],[4],[5],[7]]=>12
[1,7,6,4,5,2,3]=>[[1,2,5],[3,7],[4],[6]]=>11
[1,7,6,4,5,3,2]=>[[1,2,5],[3],[4],[6],[7]]=>13
[1,7,6,5,2,3,4]=>[[1,2,6,7],[3],[4],[5]]=>8
[1,7,6,5,2,4,3]=>[[1,2,6],[3],[4],[5],[7]]=>12
[1,7,6,5,3,2,4]=>[[1,2,7],[3],[4],[5],[6]]=>11
[1,7,6,5,3,4,2]=>[[1,2,6],[3],[4],[5],[7]]=>12
[1,7,6,5,4,2,3]=>[[1,2,7],[3],[4],[5],[6]]=>11
[1,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7]]=>15
[2,1,3,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>6
[2,1,3,4,5,7,6]=>[[1,3,4,5,6],[2,7]]=>7
[2,1,3,4,6,5,7]=>[[1,3,4,5,7],[2,6]]=>8
[2,1,3,4,6,7,5]=>[[1,3,4,5,6],[2,7]]=>7
[2,1,3,4,7,5,6]=>[[1,3,4,5,7],[2,6]]=>8
[2,1,3,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>9
[2,1,3,5,4,6,7]=>[[1,3,4,6,7],[2,5]]=>9
[2,1,3,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>10
[2,1,3,5,6,4,7]=>[[1,3,4,5,7],[2,6]]=>8
[2,1,3,5,6,7,4]=>[[1,3,4,5,6],[2,7]]=>7
[2,1,3,5,7,4,6]=>[[1,3,4,5],[2,6,7]]=>8
[2,1,3,5,7,6,4]=>[[1,3,4,5],[2,6],[7]]=>9
[2,1,3,6,4,5,7]=>[[1,3,4,6,7],[2,5]]=>9
[2,1,3,6,4,7,5]=>[[1,3,4,6],[2,5,7]]=>10
[2,1,3,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>10
[2,1,3,6,5,7,4]=>[[1,3,4,6],[2,5],[7]]=>11
[2,1,3,6,7,4,5]=>[[1,3,4,5],[2,6,7]]=>8
[2,1,3,6,7,5,4]=>[[1,3,4,5],[2,6],[7]]=>9
[2,1,3,7,4,5,6]=>[[1,3,4,6,7],[2,5]]=>9
[2,1,3,7,4,6,5]=>[[1,3,4,6],[2,5],[7]]=>11
[2,1,3,7,5,4,6]=>[[1,3,4,7],[2,5],[6]]=>10
[2,1,3,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>11
[2,1,3,7,6,4,5]=>[[1,3,4,7],[2,5],[6]]=>10
[2,1,3,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>12
[2,1,4,3,5,6,7]=>[[1,3,5,6,7],[2,4]]=>10
[2,1,4,3,5,7,6]=>[[1,3,5,6],[2,4,7]]=>11
[2,1,4,3,6,5,7]=>[[1,3,5,7],[2,4,6]]=>12
[2,1,4,3,6,7,5]=>[[1,3,5,6],[2,4,7]]=>11
[2,1,4,3,7,5,6]=>[[1,3,5,7],[2,4,6]]=>12
[2,1,4,3,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>13
[2,1,4,5,3,6,7]=>[[1,3,4,6,7],[2,5]]=>9
[2,1,4,5,3,7,6]=>[[1,3,4,6],[2,5,7]]=>10
[2,1,4,5,6,3,7]=>[[1,3,4,5,7],[2,6]]=>8
[2,1,4,5,6,7,3]=>[[1,3,4,5,6],[2,7]]=>7
[2,1,4,5,7,3,6]=>[[1,3,4,5],[2,6,7]]=>8
[2,1,4,5,7,6,3]=>[[1,3,4,5],[2,6],[7]]=>9
[2,1,4,6,3,5,7]=>[[1,3,4,7],[2,5,6]]=>9
[2,1,4,6,3,7,5]=>[[1,3,4,6],[2,5,7]]=>10
[2,1,4,6,5,3,7]=>[[1,3,4,7],[2,5],[6]]=>10
[2,1,4,6,5,7,3]=>[[1,3,4,6],[2,5],[7]]=>11
[2,1,4,6,7,3,5]=>[[1,3,4,5],[2,6,7]]=>8
[2,1,4,6,7,5,3]=>[[1,3,4,5],[2,6],[7]]=>9
[2,1,4,7,3,5,6]=>[[1,3,4,7],[2,5,6]]=>9
[2,1,4,7,3,6,5]=>[[1,3,4],[2,5,6],[7]]=>10
[2,1,4,7,5,3,6]=>[[1,3,4,7],[2,5],[6]]=>10
[2,1,4,7,5,6,3]=>[[1,3,4,6],[2,5],[7]]=>11
[2,1,4,7,6,3,5]=>[[1,3,4],[2,5,7],[6]]=>11
[2,1,4,7,6,5,3]=>[[1,3,4],[2,5],[6],[7]]=>12
[2,1,5,3,4,6,7]=>[[1,3,5,6,7],[2,4]]=>10
[2,1,5,3,4,7,6]=>[[1,3,5,6],[2,4,7]]=>11
[2,1,5,3,6,4,7]=>[[1,3,5,7],[2,4,6]]=>12
[2,1,5,3,6,7,4]=>[[1,3,5,6],[2,4,7]]=>11
[2,1,5,3,7,4,6]=>[[1,3,5,7],[2,4,6]]=>12
[2,1,5,3,7,6,4]=>[[1,3,5],[2,4,6],[7]]=>13
[2,1,5,4,3,6,7]=>[[1,3,6,7],[2,4],[5]]=>11
[2,1,5,4,3,7,6]=>[[1,3,6],[2,4,7],[5]]=>12
[2,1,5,4,6,3,7]=>[[1,3,5,7],[2,4],[6]]=>13
[2,1,5,4,6,7,3]=>[[1,3,5,6],[2,4],[7]]=>12
[2,1,5,4,7,3,6]=>[[1,3,5],[2,4,7],[6]]=>14
[2,1,5,4,7,6,3]=>[[1,3,5],[2,4,6],[7]]=>13
[2,1,5,6,3,4,7]=>[[1,3,4,7],[2,5,6]]=>9
[2,1,5,6,3,7,4]=>[[1,3,4,6],[2,5,7]]=>10
[2,1,5,6,4,3,7]=>[[1,3,4,7],[2,5],[6]]=>10
[2,1,5,6,4,7,3]=>[[1,3,4,6],[2,5],[7]]=>11
[2,1,5,6,7,3,4]=>[[1,3,4,5],[2,6,7]]=>8
[2,1,5,6,7,4,3]=>[[1,3,4,5],[2,6],[7]]=>9
[2,1,5,7,3,4,6]=>[[1,3,4,7],[2,5,6]]=>9
[2,1,5,7,3,6,4]=>[[1,3,4],[2,5,6],[7]]=>10
[2,1,5,7,4,3,6]=>[[1,3,4],[2,5,7],[6]]=>11
[2,1,5,7,4,6,3]=>[[1,3,4],[2,5,6],[7]]=>10
[2,1,5,7,6,3,4]=>[[1,3,4],[2,5,7],[6]]=>11
[2,1,5,7,6,4,3]=>[[1,3,4],[2,5],[6],[7]]=>12
[2,1,6,3,4,5,7]=>[[1,3,5,6,7],[2,4]]=>10
[2,1,6,3,4,7,5]=>[[1,3,5,6],[2,4,7]]=>11
[2,1,6,3,5,4,7]=>[[1,3,5,7],[2,4],[6]]=>13
[2,1,6,3,5,7,4]=>[[1,3,5,6],[2,4],[7]]=>12
[2,1,6,3,7,4,5]=>[[1,3,5,7],[2,4,6]]=>12
[2,1,6,3,7,5,4]=>[[1,3,5],[2,4,6],[7]]=>13
[2,1,6,4,3,5,7]=>[[1,3,6,7],[2,4],[5]]=>11
[2,1,6,4,3,7,5]=>[[1,3,6],[2,4,7],[5]]=>12
[2,1,6,4,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>13
[2,1,6,4,5,7,3]=>[[1,3,5,6],[2,4],[7]]=>12
[2,1,6,4,7,3,5]=>[[1,3,5],[2,4,7],[6]]=>14
[2,1,6,4,7,5,3]=>[[1,3,5],[2,4,6],[7]]=>13
[2,1,6,5,3,4,7]=>[[1,3,6,7],[2,4],[5]]=>11
[2,1,6,5,3,7,4]=>[[1,3,6],[2,4,7],[5]]=>12
[2,1,6,5,4,3,7]=>[[1,3,7],[2,4],[5],[6]]=>13
[2,1,6,5,4,7,3]=>[[1,3,6],[2,4],[5],[7]]=>14
[2,1,6,5,7,3,4]=>[[1,3,5],[2,4,7],[6]]=>14
[2,1,6,5,7,4,3]=>[[1,3,5],[2,4],[6],[7]]=>15
[2,1,6,7,3,4,5]=>[[1,3,4,7],[2,5,6]]=>9
[2,1,6,7,3,5,4]=>[[1,3,4],[2,5,6],[7]]=>10
[2,1,6,7,4,3,5]=>[[1,3,4],[2,5,7],[6]]=>11
[2,1,6,7,4,5,3]=>[[1,3,4],[2,5,6],[7]]=>10
[2,1,6,7,5,3,4]=>[[1,3,4],[2,5,7],[6]]=>11
[2,1,6,7,5,4,3]=>[[1,3,4],[2,5],[6],[7]]=>12
[2,1,7,3,4,5,6]=>[[1,3,5,6,7],[2,4]]=>10
[2,1,7,3,4,6,5]=>[[1,3,5,6],[2,4],[7]]=>12
[2,1,7,3,5,4,6]=>[[1,3,5,7],[2,4],[6]]=>13
[2,1,7,3,5,6,4]=>[[1,3,5,6],[2,4],[7]]=>12
[2,1,7,3,6,4,5]=>[[1,3,5,7],[2,4],[6]]=>13
[2,1,7,3,6,5,4]=>[[1,3,5],[2,4],[6],[7]]=>15
[2,1,7,4,3,5,6]=>[[1,3,6,7],[2,4],[5]]=>11
[2,1,7,4,3,6,5]=>[[1,3,6],[2,4,7],[5]]=>12
[2,1,7,4,5,3,6]=>[[1,3,5,7],[2,4],[6]]=>13
[2,1,7,4,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>12
[2,1,7,4,6,3,5]=>[[1,3,5],[2,4,7],[6]]=>14
[2,1,7,4,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>15
[2,1,7,5,3,4,6]=>[[1,3,6,7],[2,4],[5]]=>11
[2,1,7,5,3,6,4]=>[[1,3,6],[2,4,7],[5]]=>12
[2,1,7,5,4,3,6]=>[[1,3,7],[2,4],[5],[6]]=>13
[2,1,7,5,4,6,3]=>[[1,3,6],[2,4],[5],[7]]=>14
[2,1,7,5,6,3,4]=>[[1,3,5],[2,4,7],[6]]=>14
[2,1,7,5,6,4,3]=>[[1,3,5],[2,4],[6],[7]]=>15
[2,1,7,6,3,4,5]=>[[1,3,6,7],[2,4],[5]]=>11
[2,1,7,6,3,5,4]=>[[1,3,6],[2,4],[5],[7]]=>14
[2,1,7,6,4,3,5]=>[[1,3,7],[2,4],[5],[6]]=>13
[2,1,7,6,4,5,3]=>[[1,3,6],[2,4],[5],[7]]=>14
[2,1,7,6,5,3,4]=>[[1,3,7],[2,4],[5],[6]]=>13
[2,1,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7]]=>16
[2,3,1,4,5,6,7]=>[[1,2,4,5,6,7],[3]]=>5
[2,3,1,4,5,7,6]=>[[1,2,4,5,6],[3,7]]=>6
[2,3,1,4,6,5,7]=>[[1,2,4,5,7],[3,6]]=>7
[2,3,1,4,6,7,5]=>[[1,2,4,5,6],[3,7]]=>6
[2,3,1,4,7,5,6]=>[[1,2,4,5,7],[3,6]]=>7
[2,3,1,4,7,6,5]=>[[1,2,4,5],[3,6],[7]]=>8
[2,3,1,5,4,6,7]=>[[1,2,4,6,7],[3,5]]=>8
[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]]=>7
[2,3,1,5,6,7,4]=>[[1,2,4,5,6],[3,7]]=>6
[2,3,1,5,7,4,6]=>[[1,2,4,5],[3,6,7]]=>7
[2,3,1,5,7,6,4]=>[[1,2,4,5],[3,6],[7]]=>8
[2,3,1,6,4,5,7]=>[[1,2,4,6,7],[3,5]]=>8
[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]]=>9
[2,3,1,6,5,7,4]=>[[1,2,4,6],[3,5],[7]]=>10
[2,3,1,6,7,4,5]=>[[1,2,4,5],[3,6,7]]=>7
[2,3,1,6,7,5,4]=>[[1,2,4,5],[3,6],[7]]=>8
[2,3,1,7,4,5,6]=>[[1,2,4,6,7],[3,5]]=>8
[2,3,1,7,4,6,5]=>[[1,2,4,6],[3,5],[7]]=>10
[2,3,1,7,5,4,6]=>[[1,2,4,7],[3,5],[6]]=>9
[2,3,1,7,5,6,4]=>[[1,2,4,6],[3,5],[7]]=>10
[2,3,1,7,6,4,5]=>[[1,2,4,7],[3,5],[6]]=>9
[2,3,1,7,6,5,4]=>[[1,2,4],[3,5],[6],[7]]=>11
[2,3,4,1,5,6,7]=>[[1,2,3,5,6,7],[4]]=>4
[2,3,4,1,5,7,6]=>[[1,2,3,5,6],[4,7]]=>5
[2,3,4,1,6,5,7]=>[[1,2,3,5,7],[4,6]]=>6
[2,3,4,1,6,7,5]=>[[1,2,3,5,6],[4,7]]=>5
[2,3,4,1,7,5,6]=>[[1,2,3,5,7],[4,6]]=>6
[2,3,4,1,7,6,5]=>[[1,2,3,5],[4,6],[7]]=>7
[2,3,4,5,1,6,7]=>[[1,2,3,4,6,7],[5]]=>3
[2,3,4,5,1,7,6]=>[[1,2,3,4,6],[5,7]]=>4
[2,3,4,5,6,1,7]=>[[1,2,3,4,5,7],[6]]=>2
[2,3,4,5,6,7,1]=>[[1,2,3,4,5,6],[7]]=>1
[2,3,4,5,7,1,6]=>[[1,2,3,4,5],[6,7]]=>2
[2,3,4,5,7,6,1]=>[[1,2,3,4,5],[6],[7]]=>3
[2,3,4,6,1,5,7]=>[[1,2,3,4,7],[5,6]]=>3
[2,3,4,6,1,7,5]=>[[1,2,3,4,6],[5,7]]=>4
[2,3,4,6,5,1,7]=>[[1,2,3,4,7],[5],[6]]=>4
[2,3,4,6,5,7,1]=>[[1,2,3,4,6],[5],[7]]=>5
[2,3,4,6,7,1,5]=>[[1,2,3,4,5],[6,7]]=>2
[2,3,4,6,7,5,1]=>[[1,2,3,4,5],[6],[7]]=>3
[2,3,4,7,1,5,6]=>[[1,2,3,4,7],[5,6]]=>3
[2,3,4,7,1,6,5]=>[[1,2,3,4],[5,6],[7]]=>4
[2,3,4,7,5,1,6]=>[[1,2,3,4,7],[5],[6]]=>4
[2,3,4,7,5,6,1]=>[[1,2,3,4,6],[5],[7]]=>5
[2,3,4,7,6,1,5]=>[[1,2,3,4],[5,7],[6]]=>5
[2,3,4,7,6,5,1]=>[[1,2,3,4],[5],[6],[7]]=>6
[2,3,5,1,4,6,7]=>[[1,2,3,6,7],[4,5]]=>4
[2,3,5,1,4,7,6]=>[[1,2,3,6],[4,5,7]]=>5
[2,3,5,1,6,4,7]=>[[1,2,3,5,7],[4,6]]=>6
[2,3,5,1,6,7,4]=>[[1,2,3,5,6],[4,7]]=>5
[2,3,5,1,7,4,6]=>[[1,2,3,5],[4,6,7]]=>6
[2,3,5,1,7,6,4]=>[[1,2,3,5],[4,6],[7]]=>7
[2,3,5,4,1,6,7]=>[[1,2,3,6,7],[4],[5]]=>5
[2,3,5,4,1,7,6]=>[[1,2,3,6],[4,7],[5]]=>6
[2,3,5,4,6,1,7]=>[[1,2,3,5,7],[4],[6]]=>7
[2,3,5,4,6,7,1]=>[[1,2,3,5,6],[4],[7]]=>6
[2,3,5,4,7,1,6]=>[[1,2,3,5],[4,7],[6]]=>8
[2,3,5,4,7,6,1]=>[[1,2,3,5],[4,6],[7]]=>7
[2,3,5,6,1,4,7]=>[[1,2,3,4,7],[5,6]]=>3
[2,3,5,6,1,7,4]=>[[1,2,3,4,6],[5,7]]=>4
[2,3,5,6,4,1,7]=>[[1,2,3,4,7],[5],[6]]=>4
[2,3,5,6,4,7,1]=>[[1,2,3,4,6],[5],[7]]=>5
[2,3,5,6,7,1,4]=>[[1,2,3,4,5],[6,7]]=>2
[2,3,5,6,7,4,1]=>[[1,2,3,4,5],[6],[7]]=>3
[2,3,5,7,1,4,6]=>[[1,2,3,4],[5,6,7]]=>3
[2,3,5,7,1,6,4]=>[[1,2,3,4],[5,6],[7]]=>4
[2,3,5,7,4,1,6]=>[[1,2,3,4],[5,7],[6]]=>5
[2,3,5,7,4,6,1]=>[[1,2,3,4],[5,6],[7]]=>4
[2,3,5,7,6,1,4]=>[[1,2,3,4],[5,7],[6]]=>5
[2,3,5,7,6,4,1]=>[[1,2,3,4],[5],[6],[7]]=>6
[2,3,6,1,4,5,7]=>[[1,2,3,6,7],[4,5]]=>4
[2,3,6,1,4,7,5]=>[[1,2,3,6],[4,5,7]]=>5
[2,3,6,1,5,4,7]=>[[1,2,3,7],[4,5],[6]]=>5
[2,3,6,1,5,7,4]=>[[1,2,3,6],[4,5],[7]]=>6
[2,3,6,1,7,4,5]=>[[1,2,3,5],[4,6,7]]=>6
[2,3,6,1,7,5,4]=>[[1,2,3,5],[4,6],[7]]=>7
[2,3,6,4,1,5,7]=>[[1,2,3,6,7],[4],[5]]=>5
[2,3,6,4,1,7,5]=>[[1,2,3,6],[4,7],[5]]=>6
[2,3,6,4,5,1,7]=>[[1,2,3,5,7],[4],[6]]=>7
[2,3,6,4,5,7,1]=>[[1,2,3,5,6],[4],[7]]=>6
[2,3,6,4,7,1,5]=>[[1,2,3,5],[4,7],[6]]=>8
[2,3,6,4,7,5,1]=>[[1,2,3,5],[4,6],[7]]=>7
[2,3,6,5,1,4,7]=>[[1,2,3,7],[4,6],[5]]=>7
[2,3,6,5,1,7,4]=>[[1,2,3,6],[4,7],[5]]=>6
[2,3,6,5,4,1,7]=>[[1,2,3,7],[4],[5],[6]]=>7
[2,3,6,5,4,7,1]=>[[1,2,3,6],[4],[5],[7]]=>8
[2,3,6,5,7,1,4]=>[[1,2,3,5],[4,7],[6]]=>8
[2,3,6,5,7,4,1]=>[[1,2,3,5],[4],[6],[7]]=>9
[2,3,6,7,1,4,5]=>[[1,2,3,4],[5,6,7]]=>3
[2,3,6,7,1,5,4]=>[[1,2,3,4],[5,6],[7]]=>4
[2,3,6,7,4,1,5]=>[[1,2,3,4],[5,7],[6]]=>5
[2,3,6,7,4,5,1]=>[[1,2,3,4],[5,6],[7]]=>4
[2,3,6,7,5,1,4]=>[[1,2,3,4],[5,7],[6]]=>5
[2,3,6,7,5,4,1]=>[[1,2,3,4],[5],[6],[7]]=>6
[2,3,7,1,4,5,6]=>[[1,2,3,6,7],[4,5]]=>4
[2,3,7,1,4,6,5]=>[[1,2,3,6],[4,5],[7]]=>6
[2,3,7,1,5,4,6]=>[[1,2,3,7],[4,5],[6]]=>5
[2,3,7,1,5,6,4]=>[[1,2,3,6],[4,5],[7]]=>6
[2,3,7,1,6,4,5]=>[[1,2,3,7],[4,5],[6]]=>5
[2,3,7,1,6,5,4]=>[[1,2,3],[4,5],[6],[7]]=>7
[2,3,7,4,1,5,6]=>[[1,2,3,6,7],[4],[5]]=>5
[2,3,7,4,1,6,5]=>[[1,2,3,6],[4,7],[5]]=>6
[2,3,7,4,5,1,6]=>[[1,2,3,5,7],[4],[6]]=>7
[2,3,7,4,5,6,1]=>[[1,2,3,5,6],[4],[7]]=>6
[2,3,7,4,6,1,5]=>[[1,2,3,5],[4,7],[6]]=>8
[2,3,7,4,6,5,1]=>[[1,2,3,5],[4],[6],[7]]=>9
[2,3,7,5,1,4,6]=>[[1,2,3,7],[4,6],[5]]=>7
[2,3,7,5,1,6,4]=>[[1,2,3,6],[4,7],[5]]=>6
[2,3,7,5,4,1,6]=>[[1,2,3,7],[4],[5],[6]]=>7
[2,3,7,5,4,6,1]=>[[1,2,3,6],[4],[5],[7]]=>8
[2,3,7,5,6,1,4]=>[[1,2,3,5],[4,7],[6]]=>8
[2,3,7,5,6,4,1]=>[[1,2,3,5],[4],[6],[7]]=>9
[2,3,7,6,1,4,5]=>[[1,2,3,7],[4,6],[5]]=>7
[2,3,7,6,1,5,4]=>[[1,2,3],[4,6],[5],[7]]=>9
[2,3,7,6,4,1,5]=>[[1,2,3,7],[4],[5],[6]]=>7
[2,3,7,6,4,5,1]=>[[1,2,3,6],[4],[5],[7]]=>8
[2,3,7,6,5,1,4]=>[[1,2,3],[4,7],[5],[6]]=>8
[2,3,7,6,5,4,1]=>[[1,2,3],[4],[5],[6],[7]]=>10
[2,4,1,3,5,6,7]=>[[1,2,5,6,7],[3,4]]=>5
[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]]=>7
[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]]=>7
[2,4,1,3,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>8
[2,4,1,5,3,6,7]=>[[1,2,4,6,7],[3,5]]=>8
[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]]=>7
[2,4,1,5,6,7,3]=>[[1,2,4,5,6],[3,7]]=>6
[2,4,1,5,7,3,6]=>[[1,2,4,5],[3,6,7]]=>7
[2,4,1,5,7,6,3]=>[[1,2,4,5],[3,6],[7]]=>8
[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]]=>9
[2,4,1,6,5,7,3]=>[[1,2,4,6],[3,5],[7]]=>10
[2,4,1,6,7,3,5]=>[[1,2,4,5],[3,6,7]]=>7
[2,4,1,6,7,5,3]=>[[1,2,4,5],[3,6],[7]]=>8
[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]]=>9
[2,4,1,7,5,3,6]=>[[1,2,4,7],[3,5],[6]]=>9
[2,4,1,7,5,6,3]=>[[1,2,4,6],[3,5],[7]]=>10
[2,4,1,7,6,3,5]=>[[1,2,4],[3,5,7],[6]]=>10
[2,4,1,7,6,5,3]=>[[1,2,4],[3,5],[6],[7]]=>11
[2,4,3,1,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>6
[2,4,3,1,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>7
[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]]=>7
[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]]=>9
[2,4,3,5,1,6,7]=>[[1,2,4,6,7],[3],[5]]=>9
[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]]=>8
[2,4,3,5,6,7,1]=>[[1,2,4,5,6],[3],[7]]=>7
[2,4,3,5,7,1,6]=>[[1,2,4,5],[3,7],[6]]=>9
[2,4,3,5,7,6,1]=>[[1,2,4,5],[3,6],[7]]=>8
[2,4,3,6,1,5,7]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[2,4,3,6,5,7,1]=>[[1,2,4,6],[3,5],[7]]=>10
[2,4,3,6,7,1,5]=>[[1,2,4,5],[3,7],[6]]=>9
[2,4,3,6,7,5,1]=>[[1,2,4,5],[3,6],[7]]=>8
[2,4,3,7,1,5,6]=>[[1,2,4,7],[3,6],[5]]=>11
[2,4,3,7,1,6,5]=>[[1,2,4],[3,6],[5,7]]=>12
[2,4,3,7,5,1,6]=>[[1,2,4,7],[3,5],[6]]=>9
[2,4,3,7,5,6,1]=>[[1,2,4,6],[3,5],[7]]=>10
[2,4,3,7,6,1,5]=>[[1,2,4],[3,5],[6,7]]=>10
[2,4,3,7,6,5,1]=>[[1,2,4],[3,5],[6],[7]]=>11
[2,4,5,1,3,6,7]=>[[1,2,3,6,7],[4,5]]=>4
[2,4,5,1,3,7,6]=>[[1,2,3,6],[4,5,7]]=>5
[2,4,5,1,6,3,7]=>[[1,2,3,5,7],[4,6]]=>6
[2,4,5,1,6,7,3]=>[[1,2,3,5,6],[4,7]]=>5
[2,4,5,1,7,3,6]=>[[1,2,3,5],[4,6,7]]=>6
[2,4,5,1,7,6,3]=>[[1,2,3,5],[4,6],[7]]=>7
[2,4,5,3,1,6,7]=>[[1,2,3,6,7],[4],[5]]=>5
[2,4,5,3,1,7,6]=>[[1,2,3,6],[4,7],[5]]=>6
[2,4,5,3,6,1,7]=>[[1,2,3,5,7],[4],[6]]=>7
[2,4,5,3,6,7,1]=>[[1,2,3,5,6],[4],[7]]=>6
[2,4,5,3,7,1,6]=>[[1,2,3,5],[4,7],[6]]=>8
[2,4,5,3,7,6,1]=>[[1,2,3,5],[4,6],[7]]=>7
[2,4,5,6,1,3,7]=>[[1,2,3,4,7],[5,6]]=>3
[2,4,5,6,1,7,3]=>[[1,2,3,4,6],[5,7]]=>4
[2,4,5,6,3,1,7]=>[[1,2,3,4,7],[5],[6]]=>4
[2,4,5,6,3,7,1]=>[[1,2,3,4,6],[5],[7]]=>5
[2,4,5,6,7,1,3]=>[[1,2,3,4,5],[6,7]]=>2
[2,4,5,6,7,3,1]=>[[1,2,3,4,5],[6],[7]]=>3
[2,4,5,7,1,3,6]=>[[1,2,3,4],[5,6,7]]=>3
[2,4,5,7,1,6,3]=>[[1,2,3,4],[5,6],[7]]=>4
[2,4,5,7,3,1,6]=>[[1,2,3,4],[5,7],[6]]=>5
[2,4,5,7,3,6,1]=>[[1,2,3,4],[5,6],[7]]=>4
[2,4,5,7,6,1,3]=>[[1,2,3,4],[5,7],[6]]=>5
[2,4,5,7,6,3,1]=>[[1,2,3,4],[5],[6],[7]]=>6
[2,4,6,1,3,5,7]=>[[1,2,3,7],[4,5,6]]=>4
[2,4,6,1,3,7,5]=>[[1,2,3,6],[4,5,7]]=>5
[2,4,6,1,5,3,7]=>[[1,2,3,7],[4,5],[6]]=>5
[2,4,6,1,5,7,3]=>[[1,2,3,6],[4,5],[7]]=>6
[2,4,6,1,7,3,5]=>[[1,2,3,5],[4,6,7]]=>6
[2,4,6,1,7,5,3]=>[[1,2,3,5],[4,6],[7]]=>7
[2,4,6,3,1,5,7]=>[[1,2,3,7],[4,6],[5]]=>7
[2,4,6,3,1,7,5]=>[[1,2,3,6],[4,7],[5]]=>6
[2,4,6,3,5,1,7]=>[[1,2,3,7],[4,5],[6]]=>5
[2,4,6,3,5,7,1]=>[[1,2,3,6],[4,5],[7]]=>6
[2,4,6,3,7,1,5]=>[[1,2,3,5],[4,7],[6]]=>8
[2,4,6,3,7,5,1]=>[[1,2,3,5],[4,6],[7]]=>7
[2,4,6,5,1,3,7]=>[[1,2,3,7],[4,6],[5]]=>7
[2,4,6,5,1,7,3]=>[[1,2,3,6],[4,7],[5]]=>6
[2,4,6,5,3,1,7]=>[[1,2,3,7],[4],[5],[6]]=>7
[2,4,6,5,3,7,1]=>[[1,2,3,6],[4],[5],[7]]=>8
[2,4,6,5,7,1,3]=>[[1,2,3,5],[4,7],[6]]=>8
[2,4,6,5,7,3,1]=>[[1,2,3,5],[4],[6],[7]]=>9
[2,4,6,7,1,3,5]=>[[1,2,3,4],[5,6,7]]=>3
[2,4,6,7,1,5,3]=>[[1,2,3,4],[5,6],[7]]=>4
[2,4,6,7,3,1,5]=>[[1,2,3,4],[5,7],[6]]=>5
[2,4,6,7,3,5,1]=>[[1,2,3,4],[5,6],[7]]=>4
[2,4,6,7,5,1,3]=>[[1,2,3,4],[5,7],[6]]=>5
[2,4,6,7,5,3,1]=>[[1,2,3,4],[5],[6],[7]]=>6
[2,4,7,1,3,5,6]=>[[1,2,3,7],[4,5,6]]=>4
[2,4,7,1,3,6,5]=>[[1,2,3],[4,5,6],[7]]=>5
[2,4,7,1,5,3,6]=>[[1,2,3,7],[4,5],[6]]=>5
[2,4,7,1,5,6,3]=>[[1,2,3,6],[4,5],[7]]=>6
[2,4,7,1,6,3,5]=>[[1,2,3],[4,5,7],[6]]=>6
[2,4,7,1,6,5,3]=>[[1,2,3],[4,5],[6],[7]]=>7
[2,4,7,3,1,5,6]=>[[1,2,3,7],[4,6],[5]]=>7
[2,4,7,3,1,6,5]=>[[1,2,3],[4,6],[5,7]]=>8
[2,4,7,3,5,1,6]=>[[1,2,3,7],[4,5],[6]]=>5
[2,4,7,3,5,6,1]=>[[1,2,3,6],[4,5],[7]]=>6
[2,4,7,3,6,1,5]=>[[1,2,3],[4,5],[6,7]]=>6
[2,4,7,3,6,5,1]=>[[1,2,3],[4,5],[6],[7]]=>7
[2,4,7,5,1,3,6]=>[[1,2,3,7],[4,6],[5]]=>7
[2,4,7,5,1,6,3]=>[[1,2,3,6],[4,7],[5]]=>6
[2,4,7,5,3,1,6]=>[[1,2,3,7],[4],[5],[6]]=>7
[2,4,7,5,3,6,1]=>[[1,2,3,6],[4],[5],[7]]=>8
[2,4,7,5,6,1,3]=>[[1,2,3,5],[4,7],[6]]=>8
[2,4,7,5,6,3,1]=>[[1,2,3,5],[4],[6],[7]]=>9
[2,4,7,6,1,3,5]=>[[1,2,3],[4,6,7],[5]]=>7
[2,4,7,6,1,5,3]=>[[1,2,3],[4,6],[5],[7]]=>9
[2,4,7,6,3,1,5]=>[[1,2,3],[4,7],[5],[6]]=>8
[2,4,7,6,3,5,1]=>[[1,2,3],[4,6],[5],[7]]=>9
[2,4,7,6,5,1,3]=>[[1,2,3],[4,7],[5],[6]]=>8
[2,4,7,6,5,3,1]=>[[1,2,3],[4],[5],[6],[7]]=>10
[2,5,1,3,4,6,7]=>[[1,2,5,6,7],[3,4]]=>5
[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]]=>7
[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]]=>7
[2,5,1,3,7,6,4]=>[[1,2,5],[3,4,6],[7]]=>8
[2,5,1,4,3,6,7]=>[[1,2,6,7],[3,4],[5]]=>6
[2,5,1,4,3,7,6]=>[[1,2,6],[3,4,7],[5]]=>7
[2,5,1,4,6,3,7]=>[[1,2,5,7],[3,4],[6]]=>8
[2,5,1,4,6,7,3]=>[[1,2,5,6],[3,4],[7]]=>7
[2,5,1,4,7,3,6]=>[[1,2,5],[3,4,7],[6]]=>9
[2,5,1,4,7,6,3]=>[[1,2,5],[3,4,6],[7]]=>8
[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]]=>9
[2,5,1,6,4,7,3]=>[[1,2,4,6],[3,5],[7]]=>10
[2,5,1,6,7,3,4]=>[[1,2,4,5],[3,6,7]]=>7
[2,5,1,6,7,4,3]=>[[1,2,4,5],[3,6],[7]]=>8
[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]]=>9
[2,5,1,7,4,3,6]=>[[1,2,4],[3,5,7],[6]]=>10
[2,5,1,7,4,6,3]=>[[1,2,4],[3,5,6],[7]]=>9
[2,5,1,7,6,3,4]=>[[1,2,4],[3,5,7],[6]]=>10
[2,5,1,7,6,4,3]=>[[1,2,4],[3,5],[6],[7]]=>11
[2,5,3,1,4,6,7]=>[[1,2,5,6,7],[3],[4]]=>6
[2,5,3,1,4,7,6]=>[[1,2,5,6],[3,7],[4]]=>7
[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]]=>7
[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]]=>9
[2,5,3,4,1,6,7]=>[[1,2,4,6,7],[3],[5]]=>9
[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]]=>8
[2,5,3,4,6,7,1]=>[[1,2,4,5,6],[3],[7]]=>7
[2,5,3,4,7,1,6]=>[[1,2,4,5],[3,7],[6]]=>9
[2,5,3,4,7,6,1]=>[[1,2,4,5],[3,6],[7]]=>8
[2,5,3,6,1,4,7]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[2,5,3,6,4,7,1]=>[[1,2,4,6],[3,5],[7]]=>10
[2,5,3,6,7,1,4]=>[[1,2,4,5],[3,7],[6]]=>9
[2,5,3,6,7,4,1]=>[[1,2,4,5],[3,6],[7]]=>8
[2,5,3,7,1,4,6]=>[[1,2,4,7],[3,6],[5]]=>11
[2,5,3,7,1,6,4]=>[[1,2,4],[3,6],[5,7]]=>12
[2,5,3,7,4,1,6]=>[[1,2,4,7],[3,5],[6]]=>9
[2,5,3,7,4,6,1]=>[[1,2,4,6],[3,5],[7]]=>10
[2,5,3,7,6,1,4]=>[[1,2,4],[3,5],[6,7]]=>10
[2,5,3,7,6,4,1]=>[[1,2,4],[3,5],[6],[7]]=>11
[2,5,4,1,3,6,7]=>[[1,2,6,7],[3,5],[4]]=>9
[2,5,4,1,3,7,6]=>[[1,2,6],[3,5,7],[4]]=>10
[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]]=>7
[2,5,4,1,7,3,6]=>[[1,2,5],[3,6,7],[4]]=>8
[2,5,4,1,7,6,3]=>[[1,2,5],[3,6],[4,7]]=>9
[2,5,4,3,1,6,7]=>[[1,2,6,7],[3],[4],[5]]=>8
[2,5,4,3,1,7,6]=>[[1,2,6],[3,7],[4],[5]]=>9
[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]]=>9
[2,5,4,3,7,1,6]=>[[1,2,5],[3,7],[4],[6]]=>11
[2,5,4,3,7,6,1]=>[[1,2,5],[3,6],[4],[7]]=>10
[2,5,4,6,1,3,7]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[2,5,4,6,7,3,1]=>[[1,2,4,5],[3],[6],[7]]=>10
[2,5,4,7,1,3,6]=>[[1,2,4],[3,6,7],[5]]=>11
[2,5,4,7,1,6,3]=>[[1,2,4],[3,6],[5,7]]=>12
[2,5,4,7,3,1,6]=>[[1,2,4],[3,7],[5],[6]]=>12
[2,5,4,7,3,6,1]=>[[1,2,4],[3,6],[5],[7]]=>13
[2,5,4,7,6,1,3]=>[[1,2,4],[3,5],[6,7]]=>10
[2,5,4,7,6,3,1]=>[[1,2,4],[3,5],[6],[7]]=>11
[2,5,6,1,3,4,7]=>[[1,2,3,7],[4,5,6]]=>4
[2,5,6,1,3,7,4]=>[[1,2,3,6],[4,5,7]]=>5
[2,5,6,1,4,3,7]=>[[1,2,3,7],[4,5],[6]]=>5
[2,5,6,1,4,7,3]=>[[1,2,3,6],[4,5],[7]]=>6
[2,5,6,1,7,3,4]=>[[1,2,3,5],[4,6,7]]=>6
[2,5,6,1,7,4,3]=>[[1,2,3,5],[4,6],[7]]=>7
[2,5,6,3,1,4,7]=>[[1,2,3,7],[4,6],[5]]=>7
[2,5,6,3,1,7,4]=>[[1,2,3,6],[4,7],[5]]=>6
[2,5,6,3,4,1,7]=>[[1,2,3,7],[4,5],[6]]=>5
[2,5,6,3,4,7,1]=>[[1,2,3,6],[4,5],[7]]=>6
[2,5,6,3,7,1,4]=>[[1,2,3,5],[4,7],[6]]=>8
[2,5,6,3,7,4,1]=>[[1,2,3,5],[4,6],[7]]=>7
[2,5,6,4,1,3,7]=>[[1,2,3,7],[4,6],[5]]=>7
[2,5,6,4,1,7,3]=>[[1,2,3,6],[4,7],[5]]=>6
[2,5,6,4,3,1,7]=>[[1,2,3,7],[4],[5],[6]]=>7
[2,5,6,4,3,7,1]=>[[1,2,3,6],[4],[5],[7]]=>8
[2,5,6,4,7,1,3]=>[[1,2,3,5],[4,7],[6]]=>8
[2,5,6,4,7,3,1]=>[[1,2,3,5],[4],[6],[7]]=>9
[2,5,6,7,1,3,4]=>[[1,2,3,4],[5,6,7]]=>3
[2,5,6,7,1,4,3]=>[[1,2,3,4],[5,6],[7]]=>4
[2,5,6,7,3,1,4]=>[[1,2,3,4],[5,7],[6]]=>5
[2,5,6,7,3,4,1]=>[[1,2,3,4],[5,6],[7]]=>4
[2,5,6,7,4,1,3]=>[[1,2,3,4],[5,7],[6]]=>5
[2,5,6,7,4,3,1]=>[[1,2,3,4],[5],[6],[7]]=>6
[2,5,7,1,3,4,6]=>[[1,2,3,7],[4,5,6]]=>4
[2,5,7,1,3,6,4]=>[[1,2,3],[4,5,6],[7]]=>5
[2,5,7,1,4,3,6]=>[[1,2,3],[4,5,7],[6]]=>6
[2,5,7,1,4,6,3]=>[[1,2,3],[4,5,6],[7]]=>5
[2,5,7,1,6,3,4]=>[[1,2,3],[4,5,7],[6]]=>6
[2,5,7,1,6,4,3]=>[[1,2,3],[4,5],[6],[7]]=>7
[2,5,7,3,1,4,6]=>[[1,2,3,7],[4,6],[5]]=>7
[2,5,7,3,1,6,4]=>[[1,2,3],[4,6],[5,7]]=>8
[2,5,7,3,4,1,6]=>[[1,2,3,7],[4,5],[6]]=>5
[2,5,7,3,4,6,1]=>[[1,2,3,6],[4,5],[7]]=>6
[2,5,7,3,6,1,4]=>[[1,2,3],[4,5],[6,7]]=>6
[2,5,7,3,6,4,1]=>[[1,2,3],[4,5],[6],[7]]=>7
[2,5,7,4,1,3,6]=>[[1,2,3],[4,6,7],[5]]=>7
[2,5,7,4,1,6,3]=>[[1,2,3],[4,6],[5,7]]=>8
[2,5,7,4,3,1,6]=>[[1,2,3],[4,7],[5],[6]]=>8
[2,5,7,4,3,6,1]=>[[1,2,3],[4,6],[5],[7]]=>9
[2,5,7,4,6,1,3]=>[[1,2,3],[4,5],[6,7]]=>6
[2,5,7,4,6,3,1]=>[[1,2,3],[4,5],[6],[7]]=>7
[2,5,7,6,1,3,4]=>[[1,2,3],[4,6,7],[5]]=>7
[2,5,7,6,1,4,3]=>[[1,2,3],[4,6],[5],[7]]=>9
[2,5,7,6,3,1,4]=>[[1,2,3],[4,7],[5],[6]]=>8
[2,5,7,6,3,4,1]=>[[1,2,3],[4,6],[5],[7]]=>9
[2,5,7,6,4,1,3]=>[[1,2,3],[4,7],[5],[6]]=>8
[2,5,7,6,4,3,1]=>[[1,2,3],[4],[5],[6],[7]]=>10
[2,6,1,3,4,5,7]=>[[1,2,5,6,7],[3,4]]=>5
[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]]=>8
[2,6,1,3,5,7,4]=>[[1,2,5,6],[3,4],[7]]=>7
[2,6,1,3,7,4,5]=>[[1,2,5,7],[3,4,6]]=>7
[2,6,1,3,7,5,4]=>[[1,2,5],[3,4,6],[7]]=>8
[2,6,1,4,3,5,7]=>[[1,2,6,7],[3,4],[5]]=>6
[2,6,1,4,3,7,5]=>[[1,2,6],[3,4,7],[5]]=>7
[2,6,1,4,5,3,7]=>[[1,2,5,7],[3,4],[6]]=>8
[2,6,1,4,5,7,3]=>[[1,2,5,6],[3,4],[7]]=>7
[2,6,1,4,7,3,5]=>[[1,2,5],[3,4,7],[6]]=>9
[2,6,1,4,7,5,3]=>[[1,2,5],[3,4,6],[7]]=>8
[2,6,1,5,3,4,7]=>[[1,2,6,7],[3,4],[5]]=>6
[2,6,1,5,3,7,4]=>[[1,2,6],[3,4,7],[5]]=>7
[2,6,1,5,4,3,7]=>[[1,2,7],[3,4],[5],[6]]=>8
[2,6,1,5,4,7,3]=>[[1,2,6],[3,4],[5],[7]]=>9
[2,6,1,5,7,3,4]=>[[1,2,5],[3,4,7],[6]]=>9
[2,6,1,5,7,4,3]=>[[1,2,5],[3,4],[6],[7]]=>10
[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]]=>9
[2,6,1,7,4,3,5]=>[[1,2,4],[3,5,7],[6]]=>10
[2,6,1,7,4,5,3]=>[[1,2,4],[3,5,6],[7]]=>9
[2,6,1,7,5,3,4]=>[[1,2,4],[3,5,7],[6]]=>10
[2,6,1,7,5,4,3]=>[[1,2,4],[3,5],[6],[7]]=>11
[2,6,3,1,4,5,7]=>[[1,2,5,6,7],[3],[4]]=>6
[2,6,3,1,4,7,5]=>[[1,2,5,6],[3,7],[4]]=>7
[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]]=>7
[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]]=>9
[2,6,3,4,1,5,7]=>[[1,2,4,6,7],[3],[5]]=>9
[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]]=>8
[2,6,3,4,5,7,1]=>[[1,2,4,5,6],[3],[7]]=>7
[2,6,3,4,7,1,5]=>[[1,2,4,5],[3,7],[6]]=>9
[2,6,3,4,7,5,1]=>[[1,2,4,5],[3,6],[7]]=>8
[2,6,3,5,1,4,7]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[2,6,3,5,7,4,1]=>[[1,2,4,5],[3],[6],[7]]=>10
[2,6,3,7,1,4,5]=>[[1,2,4,7],[3,6],[5]]=>11
[2,6,3,7,1,5,4]=>[[1,2,4],[3,6],[5,7]]=>12
[2,6,3,7,4,1,5]=>[[1,2,4,7],[3,5],[6]]=>9
[2,6,3,7,4,5,1]=>[[1,2,4,6],[3,5],[7]]=>10
[2,6,3,7,5,1,4]=>[[1,2,4],[3,5],[6,7]]=>10
[2,6,3,7,5,4,1]=>[[1,2,4],[3,5],[6],[7]]=>11
[2,6,4,1,3,5,7]=>[[1,2,6,7],[3,5],[4]]=>9
[2,6,4,1,3,7,5]=>[[1,2,6],[3,5,7],[4]]=>10
[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]]=>7
[2,6,4,1,7,3,5]=>[[1,2,5],[3,6,7],[4]]=>8
[2,6,4,1,7,5,3]=>[[1,2,5],[3,6],[4,7]]=>9
[2,6,4,3,1,5,7]=>[[1,2,6,7],[3],[4],[5]]=>8
[2,6,4,3,1,7,5]=>[[1,2,6],[3,7],[4],[5]]=>9
[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]]=>9
[2,6,4,3,7,1,5]=>[[1,2,5],[3,7],[4],[6]]=>11
[2,6,4,3,7,5,1]=>[[1,2,5],[3,6],[4],[7]]=>10
[2,6,4,5,1,3,7]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[2,6,4,5,7,3,1]=>[[1,2,4,5],[3],[6],[7]]=>10
[2,6,4,7,1,3,5]=>[[1,2,4],[3,6,7],[5]]=>11
[2,6,4,7,1,5,3]=>[[1,2,4],[3,6],[5,7]]=>12
[2,6,4,7,3,1,5]=>[[1,2,4],[3,7],[5],[6]]=>12
[2,6,4,7,3,5,1]=>[[1,2,4],[3,6],[5],[7]]=>13
[2,6,4,7,5,1,3]=>[[1,2,4],[3,5],[6,7]]=>10
[2,6,4,7,5,3,1]=>[[1,2,4],[3,5],[6],[7]]=>11
[2,6,5,1,3,4,7]=>[[1,2,6,7],[3,5],[4]]=>9
[2,6,5,1,3,7,4]=>[[1,2,6],[3,5,7],[4]]=>10
[2,6,5,1,4,3,7]=>[[1,2,7],[3,5],[4],[6]]=>11
[2,6,5,1,4,7,3]=>[[1,2,6],[3,5],[4],[7]]=>12
[2,6,5,1,7,3,4]=>[[1,2,5],[3,6,7],[4]]=>8
[2,6,5,1,7,4,3]=>[[1,2,5],[3,6],[4],[7]]=>10
[2,6,5,3,1,4,7]=>[[1,2,6,7],[3],[4],[5]]=>8
[2,6,5,3,1,7,4]=>[[1,2,6],[3,7],[4],[5]]=>9
[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]]=>9
[2,6,5,3,7,1,4]=>[[1,2,5],[3,7],[4],[6]]=>11
[2,6,5,3,7,4,1]=>[[1,2,5],[3,6],[4],[7]]=>10
[2,6,5,4,1,3,7]=>[[1,2,7],[3,6],[4],[5]]=>10
[2,6,5,4,1,7,3]=>[[1,2,6],[3,7],[4],[5]]=>9
[2,6,5,4,3,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>11
[2,6,5,4,3,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>12
[2,6,5,4,7,1,3]=>[[1,2,5],[3,7],[4],[6]]=>11
[2,6,5,4,7,3,1]=>[[1,2,5],[3],[4],[6],[7]]=>13
[2,6,5,7,1,3,4]=>[[1,2,4],[3,6,7],[5]]=>11
[2,6,5,7,1,4,3]=>[[1,2,4],[3,6],[5],[7]]=>13
[2,6,5,7,3,1,4]=>[[1,2,4],[3,7],[5],[6]]=>12
[2,6,5,7,3,4,1]=>[[1,2,4],[3,6],[5],[7]]=>13
[2,6,5,7,4,1,3]=>[[1,2,4],[3,7],[5],[6]]=>12
[2,6,5,7,4,3,1]=>[[1,2,4],[3],[5],[6],[7]]=>14
[2,6,7,1,3,4,5]=>[[1,2,3,7],[4,5,6]]=>4
[2,6,7,1,3,5,4]=>[[1,2,3],[4,5,6],[7]]=>5
[2,6,7,1,4,3,5]=>[[1,2,3],[4,5,7],[6]]=>6
[2,6,7,1,4,5,3]=>[[1,2,3],[4,5,6],[7]]=>5
[2,6,7,1,5,3,4]=>[[1,2,3],[4,5,7],[6]]=>6
[2,6,7,1,5,4,3]=>[[1,2,3],[4,5],[6],[7]]=>7
[2,6,7,3,1,4,5]=>[[1,2,3,7],[4,6],[5]]=>7
[2,6,7,3,1,5,4]=>[[1,2,3],[4,6],[5,7]]=>8
[2,6,7,3,4,1,5]=>[[1,2,3,7],[4,5],[6]]=>5
[2,6,7,3,4,5,1]=>[[1,2,3,6],[4,5],[7]]=>6
[2,6,7,3,5,1,4]=>[[1,2,3],[4,5],[6,7]]=>6
[2,6,7,3,5,4,1]=>[[1,2,3],[4,5],[6],[7]]=>7
[2,6,7,4,1,3,5]=>[[1,2,3],[4,6,7],[5]]=>7
[2,6,7,4,1,5,3]=>[[1,2,3],[4,6],[5,7]]=>8
[2,6,7,4,3,1,5]=>[[1,2,3],[4,7],[5],[6]]=>8
[2,6,7,4,3,5,1]=>[[1,2,3],[4,6],[5],[7]]=>9
[2,6,7,4,5,1,3]=>[[1,2,3],[4,5],[6,7]]=>6
[2,6,7,4,5,3,1]=>[[1,2,3],[4,5],[6],[7]]=>7
[2,6,7,5,1,3,4]=>[[1,2,3],[4,6,7],[5]]=>7
[2,6,7,5,1,4,3]=>[[1,2,3],[4,6],[5],[7]]=>9
[2,6,7,5,3,1,4]=>[[1,2,3],[4,7],[5],[6]]=>8
[2,6,7,5,3,4,1]=>[[1,2,3],[4,6],[5],[7]]=>9
[2,6,7,5,4,1,3]=>[[1,2,3],[4,7],[5],[6]]=>8
[2,6,7,5,4,3,1]=>[[1,2,3],[4],[5],[6],[7]]=>10
[2,7,1,3,4,5,6]=>[[1,2,5,6,7],[3,4]]=>5
[2,7,1,3,4,6,5]=>[[1,2,5,6],[3,4],[7]]=>7
[2,7,1,3,5,4,6]=>[[1,2,5,7],[3,4],[6]]=>8
[2,7,1,3,5,6,4]=>[[1,2,5,6],[3,4],[7]]=>7
[2,7,1,3,6,4,5]=>[[1,2,5,7],[3,4],[6]]=>8
[2,7,1,3,6,5,4]=>[[1,2,5],[3,4],[6],[7]]=>10
[2,7,1,4,3,5,6]=>[[1,2,6,7],[3,4],[5]]=>6
[2,7,1,4,3,6,5]=>[[1,2,6],[3,4,7],[5]]=>7
[2,7,1,4,5,3,6]=>[[1,2,5,7],[3,4],[6]]=>8
[2,7,1,4,5,6,3]=>[[1,2,5,6],[3,4],[7]]=>7
[2,7,1,4,6,3,5]=>[[1,2,5],[3,4,7],[6]]=>9
[2,7,1,4,6,5,3]=>[[1,2,5],[3,4],[6],[7]]=>10
[2,7,1,5,3,4,6]=>[[1,2,6,7],[3,4],[5]]=>6
[2,7,1,5,3,6,4]=>[[1,2,6],[3,4,7],[5]]=>7
[2,7,1,5,4,3,6]=>[[1,2,7],[3,4],[5],[6]]=>8
[2,7,1,5,4,6,3]=>[[1,2,6],[3,4],[5],[7]]=>9
[2,7,1,5,6,3,4]=>[[1,2,5],[3,4,7],[6]]=>9
[2,7,1,5,6,4,3]=>[[1,2,5],[3,4],[6],[7]]=>10
[2,7,1,6,3,4,5]=>[[1,2,6,7],[3,4],[5]]=>6
[2,7,1,6,3,5,4]=>[[1,2,6],[3,4],[5],[7]]=>9
[2,7,1,6,4,3,5]=>[[1,2,7],[3,4],[5],[6]]=>8
[2,7,1,6,4,5,3]=>[[1,2,6],[3,4],[5],[7]]=>9
[2,7,1,6,5,3,4]=>[[1,2,7],[3,4],[5],[6]]=>8
[2,7,1,6,5,4,3]=>[[1,2],[3,4],[5],[6],[7]]=>11
[2,7,3,1,4,5,6]=>[[1,2,5,6,7],[3],[4]]=>6
[2,7,3,1,4,6,5]=>[[1,2,5,6],[3,7],[4]]=>7
[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]]=>7
[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]]=>10
[2,7,3,4,1,5,6]=>[[1,2,4,6,7],[3],[5]]=>9
[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]]=>8
[2,7,3,4,5,6,1]=>[[1,2,4,5,6],[3],[7]]=>7
[2,7,3,4,6,1,5]=>[[1,2,4,5],[3,7],[6]]=>9
[2,7,3,4,6,5,1]=>[[1,2,4,5],[3],[6],[7]]=>10
[2,7,3,5,1,4,6]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[2,7,3,5,6,4,1]=>[[1,2,4,5],[3],[6],[7]]=>10
[2,7,3,6,1,4,5]=>[[1,2,4,7],[3,6],[5]]=>11
[2,7,3,6,1,5,4]=>[[1,2,4],[3,6],[5],[7]]=>13
[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]]=>12
[2,7,3,6,5,4,1]=>[[1,2,4],[3],[5],[6],[7]]=>14
[2,7,4,1,3,5,6]=>[[1,2,6,7],[3,5],[4]]=>9
[2,7,4,1,3,6,5]=>[[1,2,6],[3,5,7],[4]]=>10
[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]]=>7
[2,7,4,1,6,3,5]=>[[1,2,5],[3,6,7],[4]]=>8
[2,7,4,1,6,5,3]=>[[1,2,5],[3,6],[4],[7]]=>10
[2,7,4,3,1,5,6]=>[[1,2,6,7],[3],[4],[5]]=>8
[2,7,4,3,1,6,5]=>[[1,2,6],[3,7],[4],[5]]=>9
[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]]=>9
[2,7,4,3,6,1,5]=>[[1,2,5],[3,7],[4],[6]]=>11
[2,7,4,3,6,5,1]=>[[1,2,5],[3,6],[4],[7]]=>10
[2,7,4,5,1,3,6]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[2,7,4,5,6,3,1]=>[[1,2,4,5],[3],[6],[7]]=>10
[2,7,4,6,1,3,5]=>[[1,2,4],[3,6,7],[5]]=>11
[2,7,4,6,1,5,3]=>[[1,2,4],[3,6],[5],[7]]=>13
[2,7,4,6,3,1,5]=>[[1,2,4],[3,7],[5],[6]]=>12
[2,7,4,6,3,5,1]=>[[1,2,4],[3,6],[5],[7]]=>13
[2,7,4,6,5,1,3]=>[[1,2,4],[3,7],[5],[6]]=>12
[2,7,4,6,5,3,1]=>[[1,2,4],[3],[5],[6],[7]]=>14
[2,7,5,1,3,4,6]=>[[1,2,6,7],[3,5],[4]]=>9
[2,7,5,1,3,6,4]=>[[1,2,6],[3,5,7],[4]]=>10
[2,7,5,1,4,3,6]=>[[1,2,7],[3,5],[4],[6]]=>11
[2,7,5,1,4,6,3]=>[[1,2,6],[3,5],[4],[7]]=>12
[2,7,5,1,6,3,4]=>[[1,2,5],[3,6,7],[4]]=>8
[2,7,5,1,6,4,3]=>[[1,2,5],[3,6],[4],[7]]=>10
[2,7,5,3,1,4,6]=>[[1,2,6,7],[3],[4],[5]]=>8
[2,7,5,3,1,6,4]=>[[1,2,6],[3,7],[4],[5]]=>9
[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]]=>9
[2,7,5,3,6,1,4]=>[[1,2,5],[3,7],[4],[6]]=>11
[2,7,5,3,6,4,1]=>[[1,2,5],[3,6],[4],[7]]=>10
[2,7,5,4,1,3,6]=>[[1,2,7],[3,6],[4],[5]]=>10
[2,7,5,4,1,6,3]=>[[1,2,6],[3,7],[4],[5]]=>9
[2,7,5,4,3,1,6]=>[[1,2,7],[3],[4],[5],[6]]=>11
[2,7,5,4,3,6,1]=>[[1,2,6],[3],[4],[5],[7]]=>12
[2,7,5,4,6,1,3]=>[[1,2,5],[3,7],[4],[6]]=>11
[2,7,5,4,6,3,1]=>[[1,2,5],[3],[4],[6],[7]]=>13
[2,7,5,6,1,3,4]=>[[1,2,4],[3,6,7],[5]]=>11
[2,7,5,6,1,4,3]=>[[1,2,4],[3,6],[5],[7]]=>13
[2,7,5,6,3,1,4]=>[[1,2,4],[3,7],[5],[6]]=>12
[2,7,5,6,3,4,1]=>[[1,2,4],[3,6],[5],[7]]=>13
[2,7,5,6,4,1,3]=>[[1,2,4],[3,7],[5],[6]]=>12
[2,7,5,6,4,3,1]=>[[1,2,4],[3],[5],[6],[7]]=>14
[2,7,6,1,3,4,5]=>[[1,2,6,7],[3,5],[4]]=>9
[2,7,6,1,3,5,4]=>[[1,2,6],[3,5],[4],[7]]=>12
[2,7,6,1,4,3,5]=>[[1,2,7],[3,5],[4],[6]]=>11
[2,7,6,1,4,5,3]=>[[1,2,6],[3,5],[4],[7]]=>12
[2,7,6,1,5,3,4]=>[[1,2,7],[3,5],[4],[6]]=>11
[2,7,6,1,5,4,3]=>[[1,2],[3,5],[4],[6],[7]]=>14
[2,7,6,3,1,4,5]=>[[1,2,6,7],[3],[4],[5]]=>8
[2,7,6,3,1,5,4]=>[[1,2,6],[3,7],[4],[5]]=>9
[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]]=>9
[2,7,6,3,5,1,4]=>[[1,2,5],[3,7],[4],[6]]=>11
[2,7,6,3,5,4,1]=>[[1,2,5],[3],[4],[6],[7]]=>13
[2,7,6,4,1,3,5]=>[[1,2,7],[3,6],[4],[5]]=>10
[2,7,6,4,1,5,3]=>[[1,2,6],[3,7],[4],[5]]=>9
[2,7,6,4,3,1,5]=>[[1,2,7],[3],[4],[5],[6]]=>11
[2,7,6,4,3,5,1]=>[[1,2,6],[3],[4],[5],[7]]=>12
[2,7,6,4,5,1,3]=>[[1,2,5],[3,7],[4],[6]]=>11
[2,7,6,4,5,3,1]=>[[1,2,5],[3],[4],[6],[7]]=>13
[2,7,6,5,1,3,4]=>[[1,2,7],[3,6],[4],[5]]=>10
[2,7,6,5,1,4,3]=>[[1,2],[3,6],[4],[5],[7]]=>13
[2,7,6,5,3,1,4]=>[[1,2,7],[3],[4],[5],[6]]=>11
[2,7,6,5,3,4,1]=>[[1,2,6],[3],[4],[5],[7]]=>12
[2,7,6,5,4,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>12
[2,7,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6],[7]]=>15
[3,1,2,4,5,6,7]=>[[1,3,4,5,6,7],[2]]=>6
[3,1,2,4,5,7,6]=>[[1,3,4,5,6],[2,7]]=>7
[3,1,2,4,6,5,7]=>[[1,3,4,5,7],[2,6]]=>8
[3,1,2,4,6,7,5]=>[[1,3,4,5,6],[2,7]]=>7
[3,1,2,4,7,5,6]=>[[1,3,4,5,7],[2,6]]=>8
[3,1,2,4,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>9
[3,1,2,5,4,6,7]=>[[1,3,4,6,7],[2,5]]=>9
[3,1,2,5,4,7,6]=>[[1,3,4,6],[2,5,7]]=>10
[3,1,2,5,6,4,7]=>[[1,3,4,5,7],[2,6]]=>8
[3,1,2,5,6,7,4]=>[[1,3,4,5,6],[2,7]]=>7
[3,1,2,5,7,4,6]=>[[1,3,4,5],[2,6,7]]=>8
[3,1,2,5,7,6,4]=>[[1,3,4,5],[2,6],[7]]=>9
[3,1,2,6,4,5,7]=>[[1,3,4,6,7],[2,5]]=>9
[3,1,2,6,4,7,5]=>[[1,3,4,6],[2,5,7]]=>10
[3,1,2,6,5,4,7]=>[[1,3,4,7],[2,5],[6]]=>10
[3,1,2,6,5,7,4]=>[[1,3,4,6],[2,5],[7]]=>11
[3,1,2,6,7,4,5]=>[[1,3,4,5],[2,6,7]]=>8
[3,1,2,6,7,5,4]=>[[1,3,4,5],[2,6],[7]]=>9
[3,1,2,7,4,5,6]=>[[1,3,4,6,7],[2,5]]=>9
[3,1,2,7,4,6,5]=>[[1,3,4,6],[2,5],[7]]=>11
[3,1,2,7,5,4,6]=>[[1,3,4,7],[2,5],[6]]=>10
[3,1,2,7,5,6,4]=>[[1,3,4,6],[2,5],[7]]=>11
[3,1,2,7,6,4,5]=>[[1,3,4,7],[2,5],[6]]=>10
[3,1,2,7,6,5,4]=>[[1,3,4],[2,5],[6],[7]]=>12
[3,1,4,2,5,6,7]=>[[1,3,5,6,7],[2,4]]=>10
[3,1,4,2,5,7,6]=>[[1,3,5,6],[2,4,7]]=>11
[3,1,4,2,6,5,7]=>[[1,3,5,7],[2,4,6]]=>12
[3,1,4,2,6,7,5]=>[[1,3,5,6],[2,4,7]]=>11
[3,1,4,2,7,5,6]=>[[1,3,5,7],[2,4,6]]=>12
[3,1,4,2,7,6,5]=>[[1,3,5],[2,4,6],[7]]=>13
[3,1,4,5,2,6,7]=>[[1,3,4,6,7],[2,5]]=>9
[3,1,4,5,2,7,6]=>[[1,3,4,6],[2,5,7]]=>10
[3,1,4,5,6,2,7]=>[[1,3,4,5,7],[2,6]]=>8
[3,1,4,5,6,7,2]=>[[1,3,4,5,6],[2,7]]=>7
[3,1,4,5,7,2,6]=>[[1,3,4,5],[2,6,7]]=>8
[3,1,4,5,7,6,2]=>[[1,3,4,5],[2,6],[7]]=>9
[3,1,4,6,2,5,7]=>[[1,3,4,7],[2,5,6]]=>9
[3,1,4,6,2,7,5]=>[[1,3,4,6],[2,5,7]]=>10
[3,1,4,6,5,2,7]=>[[1,3,4,7],[2,5],[6]]=>10
[3,1,4,6,5,7,2]=>[[1,3,4,6],[2,5],[7]]=>11
[3,1,4,6,7,2,5]=>[[1,3,4,5],[2,6,7]]=>8
[3,1,4,6,7,5,2]=>[[1,3,4,5],[2,6],[7]]=>9
[3,1,4,7,2,5,6]=>[[1,3,4,7],[2,5,6]]=>9
[3,1,4,7,2,6,5]=>[[1,3,4],[2,5,6],[7]]=>10
[3,1,4,7,5,2,6]=>[[1,3,4,7],[2,5],[6]]=>10
[3,1,4,7,5,6,2]=>[[1,3,4,6],[2,5],[7]]=>11
[3,1,4,7,6,2,5]=>[[1,3,4],[2,5,7],[6]]=>11
[3,1,4,7,6,5,2]=>[[1,3,4],[2,5],[6],[7]]=>12
[3,1,5,2,4,6,7]=>[[1,3,5,6,7],[2,4]]=>10
[3,1,5,2,4,7,6]=>[[1,3,5,6],[2,4,7]]=>11
[3,1,5,2,6,4,7]=>[[1,3,5,7],[2,4,6]]=>12
[3,1,5,2,6,7,4]=>[[1,3,5,6],[2,4,7]]=>11
[3,1,5,2,7,4,6]=>[[1,3,5,7],[2,4,6]]=>12
[3,1,5,2,7,6,4]=>[[1,3,5],[2,4,6],[7]]=>13
[3,1,5,4,2,6,7]=>[[1,3,6,7],[2,4],[5]]=>11
[3,1,5,4,2,7,6]=>[[1,3,6],[2,4,7],[5]]=>12
[3,1,5,4,6,2,7]=>[[1,3,5,7],[2,4],[6]]=>13
[3,1,5,4,6,7,2]=>[[1,3,5,6],[2,4],[7]]=>12
[3,1,5,4,7,2,6]=>[[1,3,5],[2,4,7],[6]]=>14
[3,1,5,4,7,6,2]=>[[1,3,5],[2,4,6],[7]]=>13
[3,1,5,6,2,4,7]=>[[1,3,4,7],[2,5,6]]=>9
[3,1,5,6,2,7,4]=>[[1,3,4,6],[2,5,7]]=>10
[3,1,5,6,4,2,7]=>[[1,3,4,7],[2,5],[6]]=>10
[3,1,5,6,4,7,2]=>[[1,3,4,6],[2,5],[7]]=>11
[3,1,5,6,7,2,4]=>[[1,3,4,5],[2,6,7]]=>8
[3,1,5,6,7,4,2]=>[[1,3,4,5],[2,6],[7]]=>9
[3,1,5,7,2,4,6]=>[[1,3,4,7],[2,5,6]]=>9
[3,1,5,7,2,6,4]=>[[1,3,4],[2,5,6],[7]]=>10
[3,1,5,7,4,2,6]=>[[1,3,4],[2,5,7],[6]]=>11
[3,1,5,7,4,6,2]=>[[1,3,4],[2,5,6],[7]]=>10
[3,1,5,7,6,2,4]=>[[1,3,4],[2,5,7],[6]]=>11
[3,1,5,7,6,4,2]=>[[1,3,4],[2,5],[6],[7]]=>12
[3,1,6,2,4,5,7]=>[[1,3,5,6,7],[2,4]]=>10
[3,1,6,2,4,7,5]=>[[1,3,5,6],[2,4,7]]=>11
[3,1,6,2,5,4,7]=>[[1,3,5,7],[2,4],[6]]=>13
[3,1,6,2,5,7,4]=>[[1,3,5,6],[2,4],[7]]=>12
[3,1,6,2,7,4,5]=>[[1,3,5,7],[2,4,6]]=>12
[3,1,6,2,7,5,4]=>[[1,3,5],[2,4,6],[7]]=>13
[3,1,6,4,2,5,7]=>[[1,3,6,7],[2,4],[5]]=>11
[3,1,6,4,2,7,5]=>[[1,3,6],[2,4,7],[5]]=>12
[3,1,6,4,5,2,7]=>[[1,3,5,7],[2,4],[6]]=>13
[3,1,6,4,5,7,2]=>[[1,3,5,6],[2,4],[7]]=>12
[3,1,6,4,7,2,5]=>[[1,3,5],[2,4,7],[6]]=>14
[3,1,6,4,7,5,2]=>[[1,3,5],[2,4,6],[7]]=>13
[3,1,6,5,2,4,7]=>[[1,3,6,7],[2,4],[5]]=>11
[3,1,6,5,2,7,4]=>[[1,3,6],[2,4,7],[5]]=>12
[3,1,6,5,4,2,7]=>[[1,3,7],[2,4],[5],[6]]=>13
[3,1,6,5,4,7,2]=>[[1,3,6],[2,4],[5],[7]]=>14
[3,1,6,5,7,2,4]=>[[1,3,5],[2,4,7],[6]]=>14
[3,1,6,5,7,4,2]=>[[1,3,5],[2,4],[6],[7]]=>15
[3,1,6,7,2,4,5]=>[[1,3,4,7],[2,5,6]]=>9
[3,1,6,7,2,5,4]=>[[1,3,4],[2,5,6],[7]]=>10
[3,1,6,7,4,2,5]=>[[1,3,4],[2,5,7],[6]]=>11
[3,1,6,7,4,5,2]=>[[1,3,4],[2,5,6],[7]]=>10
[3,1,6,7,5,2,4]=>[[1,3,4],[2,5,7],[6]]=>11
[3,1,6,7,5,4,2]=>[[1,3,4],[2,5],[6],[7]]=>12
[3,1,7,2,4,5,6]=>[[1,3,5,6,7],[2,4]]=>10
[3,1,7,2,4,6,5]=>[[1,3,5,6],[2,4],[7]]=>12
[3,1,7,2,5,4,6]=>[[1,3,5,7],[2,4],[6]]=>13
[3,1,7,2,5,6,4]=>[[1,3,5,6],[2,4],[7]]=>12
[3,1,7,2,6,4,5]=>[[1,3,5,7],[2,4],[6]]=>13
[3,1,7,2,6,5,4]=>[[1,3,5],[2,4],[6],[7]]=>15
[3,1,7,4,2,5,6]=>[[1,3,6,7],[2,4],[5]]=>11
[3,1,7,4,2,6,5]=>[[1,3,6],[2,4,7],[5]]=>12
[3,1,7,4,5,2,6]=>[[1,3,5,7],[2,4],[6]]=>13
[3,1,7,4,5,6,2]=>[[1,3,5,6],[2,4],[7]]=>12
[3,1,7,4,6,2,5]=>[[1,3,5],[2,4,7],[6]]=>14
[3,1,7,4,6,5,2]=>[[1,3,5],[2,4],[6],[7]]=>15
[3,1,7,5,2,4,6]=>[[1,3,6,7],[2,4],[5]]=>11
[3,1,7,5,2,6,4]=>[[1,3,6],[2,4,7],[5]]=>12
[3,1,7,5,4,2,6]=>[[1,3,7],[2,4],[5],[6]]=>13
[3,1,7,5,4,6,2]=>[[1,3,6],[2,4],[5],[7]]=>14
[3,1,7,5,6,2,4]=>[[1,3,5],[2,4,7],[6]]=>14
[3,1,7,5,6,4,2]=>[[1,3,5],[2,4],[6],[7]]=>15
[3,1,7,6,2,4,5]=>[[1,3,6,7],[2,4],[5]]=>11
[3,1,7,6,2,5,4]=>[[1,3,6],[2,4],[5],[7]]=>14
[3,1,7,6,4,2,5]=>[[1,3,7],[2,4],[5],[6]]=>13
[3,1,7,6,4,5,2]=>[[1,3,6],[2,4],[5],[7]]=>14
[3,1,7,6,5,2,4]=>[[1,3,7],[2,4],[5],[6]]=>13
[3,1,7,6,5,4,2]=>[[1,3],[2,4],[5],[6],[7]]=>16
[3,2,1,4,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>7
[3,2,1,4,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>8
[3,2,1,4,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>9
[3,2,1,4,6,7,5]=>[[1,4,5,6],[2,7],[3]]=>8
[3,2,1,4,7,5,6]=>[[1,4,5,7],[2,6],[3]]=>9
[3,2,1,4,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>10
[3,2,1,5,4,6,7]=>[[1,4,6,7],[2,5],[3]]=>10
[3,2,1,5,4,7,6]=>[[1,4,6],[2,5,7],[3]]=>11
[3,2,1,5,6,4,7]=>[[1,4,5,7],[2,6],[3]]=>9
[3,2,1,5,6,7,4]=>[[1,4,5,6],[2,7],[3]]=>8
[3,2,1,5,7,4,6]=>[[1,4,5],[2,6,7],[3]]=>9
[3,2,1,5,7,6,4]=>[[1,4,5],[2,6],[3,7]]=>10
[3,2,1,6,4,5,7]=>[[1,4,6,7],[2,5],[3]]=>10
[3,2,1,6,4,7,5]=>[[1,4,6],[2,5,7],[3]]=>11
[3,2,1,6,5,4,7]=>[[1,4,7],[2,5],[3,6]]=>11
[3,2,1,6,5,7,4]=>[[1,4,6],[2,5],[3,7]]=>12
[3,2,1,6,7,4,5]=>[[1,4,5],[2,6,7],[3]]=>9
[3,2,1,6,7,5,4]=>[[1,4,5],[2,6],[3,7]]=>10
[3,2,1,7,4,5,6]=>[[1,4,6,7],[2,5],[3]]=>10
[3,2,1,7,4,6,5]=>[[1,4,6],[2,5],[3,7]]=>12
[3,2,1,7,5,4,6]=>[[1,4,7],[2,5],[3,6]]=>11
[3,2,1,7,5,6,4]=>[[1,4,6],[2,5],[3,7]]=>12
[3,2,1,7,6,4,5]=>[[1,4,7],[2,5],[3,6]]=>11
[3,2,1,7,6,5,4]=>[[1,4],[2,5],[3,6],[7]]=>13
[3,2,4,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>11
[3,2,4,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>12
[3,2,4,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>13
[3,2,4,1,6,7,5]=>[[1,3,5,6],[2,7],[4]]=>12
[3,2,4,1,7,5,6]=>[[1,3,5,7],[2,6],[4]]=>13
[3,2,4,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>14
[3,2,4,5,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>10
[3,2,4,5,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>11
[3,2,4,5,6,1,7]=>[[1,3,4,5,7],[2],[6]]=>9
[3,2,4,5,6,7,1]=>[[1,3,4,5,6],[2],[7]]=>8
[3,2,4,5,7,1,6]=>[[1,3,4,5],[2,7],[6]]=>10
[3,2,4,5,7,6,1]=>[[1,3,4,5],[2,6],[7]]=>9
[3,2,4,6,1,5,7]=>[[1,3,4,7],[2,6],[5]]=>12
[3,2,4,6,1,7,5]=>[[1,3,4,6],[2,7],[5]]=>11
[3,2,4,6,5,1,7]=>[[1,3,4,7],[2,5],[6]]=>10
[3,2,4,6,5,7,1]=>[[1,3,4,6],[2,5],[7]]=>11
[3,2,4,6,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>10
[3,2,4,6,7,5,1]=>[[1,3,4,5],[2,6],[7]]=>9
[3,2,4,7,1,5,6]=>[[1,3,4,7],[2,6],[5]]=>12
[3,2,4,7,1,6,5]=>[[1,3,4],[2,6],[5,7]]=>13
[3,2,4,7,5,1,6]=>[[1,3,4,7],[2,5],[6]]=>10
[3,2,4,7,5,6,1]=>[[1,3,4,6],[2,5],[7]]=>11
[3,2,4,7,6,1,5]=>[[1,3,4],[2,5],[6,7]]=>11
[3,2,4,7,6,5,1]=>[[1,3,4],[2,5],[6],[7]]=>12
[3,2,5,1,4,6,7]=>[[1,3,6,7],[2,5],[4]]=>14
[3,2,5,1,4,7,6]=>[[1,3,6],[2,5,7],[4]]=>15
[3,2,5,1,6,4,7]=>[[1,3,5,7],[2,6],[4]]=>13
[3,2,5,1,6,7,4]=>[[1,3,5,6],[2,7],[4]]=>12
[3,2,5,1,7,4,6]=>[[1,3,5],[2,6,7],[4]]=>13
[3,2,5,1,7,6,4]=>[[1,3,5],[2,6],[4,7]]=>14
[3,2,5,4,1,6,7]=>[[1,3,6,7],[2,4],[5]]=>11
[3,2,5,4,1,7,6]=>[[1,3,6],[2,4,7],[5]]=>12
[3,2,5,4,6,1,7]=>[[1,3,5,7],[2,4],[6]]=>13
[3,2,5,4,6,7,1]=>[[1,3,5,6],[2,4],[7]]=>12
[3,2,5,4,7,1,6]=>[[1,3,5],[2,4,7],[6]]=>14
[3,2,5,4,7,6,1]=>[[1,3,5],[2,4,6],[7]]=>13
[3,2,5,6,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>12
[3,2,5,6,1,7,4]=>[[1,3,4,6],[2,7],[5]]=>11
[3,2,5,6,4,1,7]=>[[1,3,4,7],[2,5],[6]]=>10
[3,2,5,6,4,7,1]=>[[1,3,4,6],[2,5],[7]]=>11
[3,2,5,6,7,1,4]=>[[1,3,4,5],[2,7],[6]]=>10
[3,2,5,6,7,4,1]=>[[1,3,4,5],[2,6],[7]]=>9
[3,2,5,7,1,4,6]=>[[1,3,4],[2,6,7],[5]]=>12
[3,2,5,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>13
[3,2,5,7,4,1,6]=>[[1,3,4],[2,5,7],[6]]=>11
[3,2,5,7,4,6,1]=>[[1,3,4],[2,5,6],[7]]=>10
[3,2,5,7,6,1,4]=>[[1,3,4],[2,5],[6,7]]=>11
[3,2,5,7,6,4,1]=>[[1,3,4],[2,5],[6],[7]]=>12
[3,2,6,1,4,5,7]=>[[1,3,6,7],[2,5],[4]]=>14
[3,2,6,1,4,7,5]=>[[1,3,6],[2,5,7],[4]]=>15
[3,2,6,1,5,4,7]=>[[1,3,7],[2,5],[4,6]]=>15
[3,2,6,1,5,7,4]=>[[1,3,6],[2,5],[4,7]]=>16
[3,2,6,1,7,4,5]=>[[1,3,5],[2,6,7],[4]]=>13
[3,2,6,1,7,5,4]=>[[1,3,5],[2,6],[4,7]]=>14
[3,2,6,4,1,5,7]=>[[1,3,6,7],[2,4],[5]]=>11
[3,2,6,4,1,7,5]=>[[1,3,6],[2,4,7],[5]]=>12
[3,2,6,4,5,1,7]=>[[1,3,5,7],[2,4],[6]]=>13
[3,2,6,4,5,7,1]=>[[1,3,5,6],[2,4],[7]]=>12
[3,2,6,4,7,1,5]=>[[1,3,5],[2,4,7],[6]]=>14
[3,2,6,4,7,5,1]=>[[1,3,5],[2,4,6],[7]]=>13
[3,2,6,5,1,4,7]=>[[1,3,7],[2,4],[5,6]]=>12
[3,2,6,5,1,7,4]=>[[1,3,6],[2,4],[5,7]]=>13
[3,2,6,5,4,1,7]=>[[1,3,7],[2,4],[5],[6]]=>13
[3,2,6,5,4,7,1]=>[[1,3,6],[2,4],[5],[7]]=>14
[3,2,6,5,7,1,4]=>[[1,3,5],[2,4],[6,7]]=>14
[3,2,6,5,7,4,1]=>[[1,3,5],[2,4],[6],[7]]=>15
[3,2,6,7,1,4,5]=>[[1,3,4],[2,6,7],[5]]=>12
[3,2,6,7,1,5,4]=>[[1,3,4],[2,6],[5,7]]=>13
[3,2,6,7,4,1,5]=>[[1,3,4],[2,5,7],[6]]=>11
[3,2,6,7,4,5,1]=>[[1,3,4],[2,5,6],[7]]=>10
[3,2,6,7,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>11
[3,2,6,7,5,4,1]=>[[1,3,4],[2,5],[6],[7]]=>12
[3,2,7,1,4,5,6]=>[[1,3,6,7],[2,5],[4]]=>14
[3,2,7,1,4,6,5]=>[[1,3,6],[2,5],[4,7]]=>16
[3,2,7,1,5,4,6]=>[[1,3,7],[2,5],[4,6]]=>15
[3,2,7,1,5,6,4]=>[[1,3,6],[2,5],[4,7]]=>16
[3,2,7,1,6,4,5]=>[[1,3,7],[2,5],[4,6]]=>15
[3,2,7,1,6,5,4]=>[[1,3],[2,5],[4,6],[7]]=>17
[3,2,7,4,1,5,6]=>[[1,3,6,7],[2,4],[5]]=>11
[3,2,7,4,1,6,5]=>[[1,3,6],[2,4],[5,7]]=>13
[3,2,7,4,5,1,6]=>[[1,3,5,7],[2,4],[6]]=>13
[3,2,7,4,5,6,1]=>[[1,3,5,6],[2,4],[7]]=>12
[3,2,7,4,6,1,5]=>[[1,3,5],[2,4],[6,7]]=>14
[3,2,7,4,6,5,1]=>[[1,3,5],[2,4],[6],[7]]=>15
[3,2,7,5,1,4,6]=>[[1,3,7],[2,4],[5,6]]=>12
[3,2,7,5,1,6,4]=>[[1,3,6],[2,4],[5,7]]=>13
[3,2,7,5,4,1,6]=>[[1,3,7],[2,4],[5],[6]]=>13
[3,2,7,5,4,6,1]=>[[1,3,6],[2,4],[5],[7]]=>14
[3,2,7,5,6,1,4]=>[[1,3,5],[2,4],[6,7]]=>14
[3,2,7,5,6,4,1]=>[[1,3,5],[2,4],[6],[7]]=>15
[3,2,7,6,1,4,5]=>[[1,3,7],[2,4],[5,6]]=>12
[3,2,7,6,1,5,4]=>[[1,3],[2,4],[5,6],[7]]=>14
[3,2,7,6,4,1,5]=>[[1,3,7],[2,4],[5],[6]]=>13
[3,2,7,6,4,5,1]=>[[1,3,6],[2,4],[5],[7]]=>14
[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]]=>16
[3,4,1,2,5,6,7]=>[[1,2,5,6,7],[3,4]]=>5
[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]]=>7
[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]]=>7
[3,4,1,2,7,6,5]=>[[1,2,5],[3,4,6],[7]]=>8
[3,4,1,5,2,6,7]=>[[1,2,4,6,7],[3,5]]=>8
[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]]=>7
[3,4,1,5,6,7,2]=>[[1,2,4,5,6],[3,7]]=>6
[3,4,1,5,7,2,6]=>[[1,2,4,5],[3,6,7]]=>7
[3,4,1,5,7,6,2]=>[[1,2,4,5],[3,6],[7]]=>8
[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]]=>9
[3,4,1,6,5,7,2]=>[[1,2,4,6],[3,5],[7]]=>10
[3,4,1,6,7,2,5]=>[[1,2,4,5],[3,6,7]]=>7
[3,4,1,6,7,5,2]=>[[1,2,4,5],[3,6],[7]]=>8
[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]]=>9
[3,4,1,7,5,2,6]=>[[1,2,4,7],[3,5],[6]]=>9
[3,4,1,7,5,6,2]=>[[1,2,4,6],[3,5],[7]]=>10
[3,4,1,7,6,2,5]=>[[1,2,4],[3,5,7],[6]]=>10
[3,4,1,7,6,5,2]=>[[1,2,4],[3,5],[6],[7]]=>11
[3,4,2,1,5,6,7]=>[[1,2,5,6,7],[3],[4]]=>6
[3,4,2,1,5,7,6]=>[[1,2,5,6],[3,7],[4]]=>7
[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]]=>7
[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]]=>9
[3,4,2,5,1,6,7]=>[[1,2,4,6,7],[3],[5]]=>9
[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]]=>8
[3,4,2,5,6,7,1]=>[[1,2,4,5,6],[3],[7]]=>7
[3,4,2,5,7,1,6]=>[[1,2,4,5],[3,7],[6]]=>9
[3,4,2,5,7,6,1]=>[[1,2,4,5],[3,6],[7]]=>8
[3,4,2,6,1,5,7]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[3,4,2,6,5,7,1]=>[[1,2,4,6],[3,5],[7]]=>10
[3,4,2,6,7,1,5]=>[[1,2,4,5],[3,7],[6]]=>9
[3,4,2,6,7,5,1]=>[[1,2,4,5],[3,6],[7]]=>8
[3,4,2,7,1,5,6]=>[[1,2,4,7],[3,6],[5]]=>11
[3,4,2,7,1,6,5]=>[[1,2,4],[3,6],[5,7]]=>12
[3,4,2,7,5,1,6]=>[[1,2,4,7],[3,5],[6]]=>9
[3,4,2,7,5,6,1]=>[[1,2,4,6],[3,5],[7]]=>10
[3,4,2,7,6,1,5]=>[[1,2,4],[3,5],[6,7]]=>10
[3,4,2,7,6,5,1]=>[[1,2,4],[3,5],[6],[7]]=>11
[3,4,5,1,2,6,7]=>[[1,2,3,6,7],[4,5]]=>4
[3,4,5,1,2,7,6]=>[[1,2,3,6],[4,5,7]]=>5
[3,4,5,1,6,2,7]=>[[1,2,3,5,7],[4,6]]=>6
[3,4,5,1,6,7,2]=>[[1,2,3,5,6],[4,7]]=>5
[3,4,5,1,7,2,6]=>[[1,2,3,5],[4,6,7]]=>6
[3,4,5,1,7,6,2]=>[[1,2,3,5],[4,6],[7]]=>7
[3,4,5,2,1,6,7]=>[[1,2,3,6,7],[4],[5]]=>5
[3,4,5,2,1,7,6]=>[[1,2,3,6],[4,7],[5]]=>6
[3,4,5,2,6,1,7]=>[[1,2,3,5,7],[4],[6]]=>7
[3,4,5,2,6,7,1]=>[[1,2,3,5,6],[4],[7]]=>6
[3,4,5,2,7,1,6]=>[[1,2,3,5],[4,7],[6]]=>8
[3,4,5,2,7,6,1]=>[[1,2,3,5],[4,6],[7]]=>7
[3,4,5,6,1,2,7]=>[[1,2,3,4,7],[5,6]]=>3
[3,4,5,6,1,7,2]=>[[1,2,3,4,6],[5,7]]=>4
[3,4,5,6,2,1,7]=>[[1,2,3,4,7],[5],[6]]=>4
[3,4,5,6,2,7,1]=>[[1,2,3,4,6],[5],[7]]=>5
[3,4,5,6,7,1,2]=>[[1,2,3,4,5],[6,7]]=>2
[3,4,5,6,7,2,1]=>[[1,2,3,4,5],[6],[7]]=>3
[3,4,5,7,1,2,6]=>[[1,2,3,4],[5,6,7]]=>3
[3,4,5,7,1,6,2]=>[[1,2,3,4],[5,6],[7]]=>4
[3,4,5,7,2,1,6]=>[[1,2,3,4],[5,7],[6]]=>5
[3,4,5,7,2,6,1]=>[[1,2,3,4],[5,6],[7]]=>4
[3,4,5,7,6,1,2]=>[[1,2,3,4],[5,7],[6]]=>5
[3,4,5,7,6,2,1]=>[[1,2,3,4],[5],[6],[7]]=>6
[3,4,6,1,2,5,7]=>[[1,2,3,7],[4,5,6]]=>4
[3,4,6,1,2,7,5]=>[[1,2,3,6],[4,5,7]]=>5
[3,4,6,1,5,2,7]=>[[1,2,3,7],[4,5],[6]]=>5
[3,4,6,1,5,7,2]=>[[1,2,3,6],[4,5],[7]]=>6
[3,4,6,1,7,2,5]=>[[1,2,3,5],[4,6,7]]=>6
[3,4,6,1,7,5,2]=>[[1,2,3,5],[4,6],[7]]=>7
[3,4,6,2,1,5,7]=>[[1,2,3,7],[4,6],[5]]=>7
[3,4,6,2,1,7,5]=>[[1,2,3,6],[4,7],[5]]=>6
[3,4,6,2,5,1,7]=>[[1,2,3,7],[4,5],[6]]=>5
[3,4,6,2,5,7,1]=>[[1,2,3,6],[4,5],[7]]=>6
[3,4,6,2,7,1,5]=>[[1,2,3,5],[4,7],[6]]=>8
[3,4,6,2,7,5,1]=>[[1,2,3,5],[4,6],[7]]=>7
[3,4,6,5,1,2,7]=>[[1,2,3,7],[4,6],[5]]=>7
[3,4,6,5,1,7,2]=>[[1,2,3,6],[4,7],[5]]=>6
[3,4,6,5,2,1,7]=>[[1,2,3,7],[4],[5],[6]]=>7
[3,4,6,5,2,7,1]=>[[1,2,3,6],[4],[5],[7]]=>8
[3,4,6,5,7,1,2]=>[[1,2,3,5],[4,7],[6]]=>8
[3,4,6,5,7,2,1]=>[[1,2,3,5],[4],[6],[7]]=>9
[3,4,6,7,1,2,5]=>[[1,2,3,4],[5,6,7]]=>3
[3,4,6,7,1,5,2]=>[[1,2,3,4],[5,6],[7]]=>4
[3,4,6,7,2,1,5]=>[[1,2,3,4],[5,7],[6]]=>5
[3,4,6,7,2,5,1]=>[[1,2,3,4],[5,6],[7]]=>4
[3,4,6,7,5,1,2]=>[[1,2,3,4],[5,7],[6]]=>5
[3,4,6,7,5,2,1]=>[[1,2,3,4],[5],[6],[7]]=>6
[3,4,7,1,2,5,6]=>[[1,2,3,7],[4,5,6]]=>4
[3,4,7,1,2,6,5]=>[[1,2,3],[4,5,6],[7]]=>5
[3,4,7,1,5,2,6]=>[[1,2,3,7],[4,5],[6]]=>5
[3,4,7,1,5,6,2]=>[[1,2,3,6],[4,5],[7]]=>6
[3,4,7,1,6,2,5]=>[[1,2,3],[4,5,7],[6]]=>6
[3,4,7,1,6,5,2]=>[[1,2,3],[4,5],[6],[7]]=>7
[3,4,7,2,1,5,6]=>[[1,2,3,7],[4,6],[5]]=>7
[3,4,7,2,1,6,5]=>[[1,2,3],[4,6],[5,7]]=>8
[3,4,7,2,5,1,6]=>[[1,2,3,7],[4,5],[6]]=>5
[3,4,7,2,5,6,1]=>[[1,2,3,6],[4,5],[7]]=>6
[3,4,7,2,6,1,5]=>[[1,2,3],[4,5],[6,7]]=>6
[3,4,7,2,6,5,1]=>[[1,2,3],[4,5],[6],[7]]=>7
[3,4,7,5,1,2,6]=>[[1,2,3,7],[4,6],[5]]=>7
[3,4,7,5,1,6,2]=>[[1,2,3,6],[4,7],[5]]=>6
[3,4,7,5,2,1,6]=>[[1,2,3,7],[4],[5],[6]]=>7
[3,4,7,5,2,6,1]=>[[1,2,3,6],[4],[5],[7]]=>8
[3,4,7,5,6,1,2]=>[[1,2,3,5],[4,7],[6]]=>8
[3,4,7,5,6,2,1]=>[[1,2,3,5],[4],[6],[7]]=>9
[3,4,7,6,1,2,5]=>[[1,2,3],[4,6,7],[5]]=>7
[3,4,7,6,1,5,2]=>[[1,2,3],[4,6],[5],[7]]=>9
[3,4,7,6,2,1,5]=>[[1,2,3],[4,7],[5],[6]]=>8
[3,4,7,6,2,5,1]=>[[1,2,3],[4,6],[5],[7]]=>9
[3,4,7,6,5,1,2]=>[[1,2,3],[4,7],[5],[6]]=>8
[3,4,7,6,5,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>10
[3,5,1,2,4,6,7]=>[[1,2,5,6,7],[3,4]]=>5
[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]]=>7
[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]]=>7
[3,5,1,2,7,6,4]=>[[1,2,5],[3,4,6],[7]]=>8
[3,5,1,4,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>6
[3,5,1,4,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>7
[3,5,1,4,6,2,7]=>[[1,2,5,7],[3,4],[6]]=>8
[3,5,1,4,6,7,2]=>[[1,2,5,6],[3,4],[7]]=>7
[3,5,1,4,7,2,6]=>[[1,2,5],[3,4,7],[6]]=>9
[3,5,1,4,7,6,2]=>[[1,2,5],[3,4,6],[7]]=>8
[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]]=>9
[3,5,1,6,4,7,2]=>[[1,2,4,6],[3,5],[7]]=>10
[3,5,1,6,7,2,4]=>[[1,2,4,5],[3,6,7]]=>7
[3,5,1,6,7,4,2]=>[[1,2,4,5],[3,6],[7]]=>8
[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]]=>9
[3,5,1,7,4,2,6]=>[[1,2,4],[3,5,7],[6]]=>10
[3,5,1,7,4,6,2]=>[[1,2,4],[3,5,6],[7]]=>9
[3,5,1,7,6,2,4]=>[[1,2,4],[3,5,7],[6]]=>10
[3,5,1,7,6,4,2]=>[[1,2,4],[3,5],[6],[7]]=>11
[3,5,2,1,4,6,7]=>[[1,2,6,7],[3,5],[4]]=>9
[3,5,2,1,4,7,6]=>[[1,2,6],[3,5,7],[4]]=>10
[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]]=>7
[3,5,2,1,7,4,6]=>[[1,2,5],[3,6,7],[4]]=>8
[3,5,2,1,7,6,4]=>[[1,2,5],[3,6],[4,7]]=>9
[3,5,2,4,1,6,7]=>[[1,2,6,7],[3,4],[5]]=>6
[3,5,2,4,1,7,6]=>[[1,2,6],[3,4,7],[5]]=>7
[3,5,2,4,6,1,7]=>[[1,2,5,7],[3,4],[6]]=>8
[3,5,2,4,6,7,1]=>[[1,2,5,6],[3,4],[7]]=>7
[3,5,2,4,7,1,6]=>[[1,2,5],[3,4,7],[6]]=>9
[3,5,2,4,7,6,1]=>[[1,2,5],[3,4,6],[7]]=>8
[3,5,2,6,1,4,7]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[3,5,2,6,4,7,1]=>[[1,2,4,6],[3,5],[7]]=>10
[3,5,2,6,7,1,4]=>[[1,2,4,5],[3,7],[6]]=>9
[3,5,2,6,7,4,1]=>[[1,2,4,5],[3,6],[7]]=>8
[3,5,2,7,1,4,6]=>[[1,2,4],[3,6,7],[5]]=>11
[3,5,2,7,1,6,4]=>[[1,2,4],[3,6],[5,7]]=>12
[3,5,2,7,4,1,6]=>[[1,2,4],[3,5,7],[6]]=>10
[3,5,2,7,4,6,1]=>[[1,2,4],[3,5,6],[7]]=>9
[3,5,2,7,6,1,4]=>[[1,2,4],[3,5],[6,7]]=>10
[3,5,2,7,6,4,1]=>[[1,2,4],[3,5],[6],[7]]=>11
[3,5,4,1,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>9
[3,5,4,1,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>10
[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]]=>7
[3,5,4,1,7,2,6]=>[[1,2,5],[3,6,7],[4]]=>8
[3,5,4,1,7,6,2]=>[[1,2,5],[3,6],[4,7]]=>9
[3,5,4,2,1,6,7]=>[[1,2,6,7],[3],[4],[5]]=>8
[3,5,4,2,1,7,6]=>[[1,2,6],[3,7],[4],[5]]=>9
[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]]=>9
[3,5,4,2,7,1,6]=>[[1,2,5],[3,7],[4],[6]]=>11
[3,5,4,2,7,6,1]=>[[1,2,5],[3,6],[4],[7]]=>10
[3,5,4,6,1,2,7]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[3,5,4,6,7,2,1]=>[[1,2,4,5],[3],[6],[7]]=>10
[3,5,4,7,1,2,6]=>[[1,2,4],[3,6,7],[5]]=>11
[3,5,4,7,1,6,2]=>[[1,2,4],[3,6],[5,7]]=>12
[3,5,4,7,2,1,6]=>[[1,2,4],[3,7],[5],[6]]=>12
[3,5,4,7,2,6,1]=>[[1,2,4],[3,6],[5],[7]]=>13
[3,5,4,7,6,1,2]=>[[1,2,4],[3,5],[6,7]]=>10
[3,5,4,7,6,2,1]=>[[1,2,4],[3,5],[6],[7]]=>11
[3,5,6,1,2,4,7]=>[[1,2,3,7],[4,5,6]]=>4
[3,5,6,1,2,7,4]=>[[1,2,3,6],[4,5,7]]=>5
[3,5,6,1,4,2,7]=>[[1,2,3,7],[4,5],[6]]=>5
[3,5,6,1,4,7,2]=>[[1,2,3,6],[4,5],[7]]=>6
[3,5,6,1,7,2,4]=>[[1,2,3,5],[4,6,7]]=>6
[3,5,6,1,7,4,2]=>[[1,2,3,5],[4,6],[7]]=>7
[3,5,6,2,1,4,7]=>[[1,2,3,7],[4,6],[5]]=>7
[3,5,6,2,1,7,4]=>[[1,2,3,6],[4,7],[5]]=>6
[3,5,6,2,4,1,7]=>[[1,2,3,7],[4,5],[6]]=>5
[3,5,6,2,4,7,1]=>[[1,2,3,6],[4,5],[7]]=>6
[3,5,6,2,7,1,4]=>[[1,2,3,5],[4,7],[6]]=>8
[3,5,6,2,7,4,1]=>[[1,2,3,5],[4,6],[7]]=>7
[3,5,6,4,1,2,7]=>[[1,2,3,7],[4,6],[5]]=>7
[3,5,6,4,1,7,2]=>[[1,2,3,6],[4,7],[5]]=>6
[3,5,6,4,2,1,7]=>[[1,2,3,7],[4],[5],[6]]=>7
[3,5,6,4,2,7,1]=>[[1,2,3,6],[4],[5],[7]]=>8
[3,5,6,4,7,1,2]=>[[1,2,3,5],[4,7],[6]]=>8
[3,5,6,4,7,2,1]=>[[1,2,3,5],[4],[6],[7]]=>9
[3,5,6,7,1,2,4]=>[[1,2,3,4],[5,6,7]]=>3
[3,5,6,7,1,4,2]=>[[1,2,3,4],[5,6],[7]]=>4
[3,5,6,7,2,1,4]=>[[1,2,3,4],[5,7],[6]]=>5
[3,5,6,7,2,4,1]=>[[1,2,3,4],[5,6],[7]]=>4
[3,5,6,7,4,1,2]=>[[1,2,3,4],[5,7],[6]]=>5
[3,5,6,7,4,2,1]=>[[1,2,3,4],[5],[6],[7]]=>6
[3,5,7,1,2,4,6]=>[[1,2,3,7],[4,5,6]]=>4
[3,5,7,1,2,6,4]=>[[1,2,3],[4,5,6],[7]]=>5
[3,5,7,1,4,2,6]=>[[1,2,3],[4,5,7],[6]]=>6
[3,5,7,1,4,6,2]=>[[1,2,3],[4,5,6],[7]]=>5
[3,5,7,1,6,2,4]=>[[1,2,3],[4,5,7],[6]]=>6
[3,5,7,1,6,4,2]=>[[1,2,3],[4,5],[6],[7]]=>7
[3,5,7,2,1,4,6]=>[[1,2,3],[4,6,7],[5]]=>7
[3,5,7,2,1,6,4]=>[[1,2,3],[4,6],[5,7]]=>8
[3,5,7,2,4,1,6]=>[[1,2,3],[4,5,7],[6]]=>6
[3,5,7,2,4,6,1]=>[[1,2,3],[4,5,6],[7]]=>5
[3,5,7,2,6,1,4]=>[[1,2,3],[4,5],[6,7]]=>6
[3,5,7,2,6,4,1]=>[[1,2,3],[4,5],[6],[7]]=>7
[3,5,7,4,1,2,6]=>[[1,2,3],[4,6,7],[5]]=>7
[3,5,7,4,1,6,2]=>[[1,2,3],[4,6],[5,7]]=>8
[3,5,7,4,2,1,6]=>[[1,2,3],[4,7],[5],[6]]=>8
[3,5,7,4,2,6,1]=>[[1,2,3],[4,6],[5],[7]]=>9
[3,5,7,4,6,1,2]=>[[1,2,3],[4,5],[6,7]]=>6
[3,5,7,4,6,2,1]=>[[1,2,3],[4,5],[6],[7]]=>7
[3,5,7,6,1,2,4]=>[[1,2,3],[4,6,7],[5]]=>7
[3,5,7,6,1,4,2]=>[[1,2,3],[4,6],[5],[7]]=>9
[3,5,7,6,2,1,4]=>[[1,2,3],[4,7],[5],[6]]=>8
[3,5,7,6,2,4,1]=>[[1,2,3],[4,6],[5],[7]]=>9
[3,5,7,6,4,1,2]=>[[1,2,3],[4,7],[5],[6]]=>8
[3,5,7,6,4,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>10
[3,6,1,2,4,5,7]=>[[1,2,5,6,7],[3,4]]=>5
[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]]=>8
[3,6,1,2,5,7,4]=>[[1,2,5,6],[3,4],[7]]=>7
[3,6,1,2,7,4,5]=>[[1,2,5,7],[3,4,6]]=>7
[3,6,1,2,7,5,4]=>[[1,2,5],[3,4,6],[7]]=>8
[3,6,1,4,2,5,7]=>[[1,2,6,7],[3,4],[5]]=>6
[3,6,1,4,2,7,5]=>[[1,2,6],[3,4,7],[5]]=>7
[3,6,1,4,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>8
[3,6,1,4,5,7,2]=>[[1,2,5,6],[3,4],[7]]=>7
[3,6,1,4,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>9
[3,6,1,4,7,5,2]=>[[1,2,5],[3,4,6],[7]]=>8
[3,6,1,5,2,4,7]=>[[1,2,6,7],[3,4],[5]]=>6
[3,6,1,5,2,7,4]=>[[1,2,6],[3,4,7],[5]]=>7
[3,6,1,5,4,2,7]=>[[1,2,7],[3,4],[5],[6]]=>8
[3,6,1,5,4,7,2]=>[[1,2,6],[3,4],[5],[7]]=>9
[3,6,1,5,7,2,4]=>[[1,2,5],[3,4,7],[6]]=>9
[3,6,1,5,7,4,2]=>[[1,2,5],[3,4],[6],[7]]=>10
[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]]=>9
[3,6,1,7,4,2,5]=>[[1,2,4],[3,5,7],[6]]=>10
[3,6,1,7,4,5,2]=>[[1,2,4],[3,5,6],[7]]=>9
[3,6,1,7,5,2,4]=>[[1,2,4],[3,5,7],[6]]=>10
[3,6,1,7,5,4,2]=>[[1,2,4],[3,5],[6],[7]]=>11
[3,6,2,1,4,5,7]=>[[1,2,6,7],[3,5],[4]]=>9
[3,6,2,1,4,7,5]=>[[1,2,6],[3,5,7],[4]]=>10
[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]]=>8
[3,6,2,1,7,5,4]=>[[1,2,5],[3,6],[4,7]]=>9
[3,6,2,4,1,5,7]=>[[1,2,6,7],[3,4],[5]]=>6
[3,6,2,4,1,7,5]=>[[1,2,6],[3,4,7],[5]]=>7
[3,6,2,4,5,1,7]=>[[1,2,5,7],[3,4],[6]]=>8
[3,6,2,4,5,7,1]=>[[1,2,5,6],[3,4],[7]]=>7
[3,6,2,4,7,1,5]=>[[1,2,5],[3,4,7],[6]]=>9
[3,6,2,4,7,5,1]=>[[1,2,5],[3,4,6],[7]]=>8
[3,6,2,5,1,4,7]=>[[1,2,7],[3,4],[5,6]]=>7
[3,6,2,5,1,7,4]=>[[1,2,6],[3,4],[5,7]]=>8
[3,6,2,5,4,1,7]=>[[1,2,7],[3,4],[5],[6]]=>8
[3,6,2,5,4,7,1]=>[[1,2,6],[3,4],[5],[7]]=>9
[3,6,2,5,7,1,4]=>[[1,2,5],[3,4],[6,7]]=>9
[3,6,2,5,7,4,1]=>[[1,2,5],[3,4],[6],[7]]=>10
[3,6,2,7,1,4,5]=>[[1,2,4],[3,6,7],[5]]=>11
[3,6,2,7,1,5,4]=>[[1,2,4],[3,6],[5,7]]=>12
[3,6,2,7,4,1,5]=>[[1,2,4],[3,5,7],[6]]=>10
[3,6,2,7,4,5,1]=>[[1,2,4],[3,5,6],[7]]=>9
[3,6,2,7,5,1,4]=>[[1,2,4],[3,5],[6,7]]=>10
[3,6,2,7,5,4,1]=>[[1,2,4],[3,5],[6],[7]]=>11
[3,6,4,1,2,5,7]=>[[1,2,6,7],[3,5],[4]]=>9
[3,6,4,1,2,7,5]=>[[1,2,6],[3,5,7],[4]]=>10
[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]]=>7
[3,6,4,1,7,2,5]=>[[1,2,5],[3,6,7],[4]]=>8
[3,6,4,1,7,5,2]=>[[1,2,5],[3,6],[4,7]]=>9
[3,6,4,2,1,5,7]=>[[1,2,6,7],[3],[4],[5]]=>8
[3,6,4,2,1,7,5]=>[[1,2,6],[3,7],[4],[5]]=>9
[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]]=>9
[3,6,4,2,7,1,5]=>[[1,2,5],[3,7],[4],[6]]=>11
[3,6,4,2,7,5,1]=>[[1,2,5],[3,6],[4],[7]]=>10
[3,6,4,5,1,2,7]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[3,6,4,5,7,2,1]=>[[1,2,4,5],[3],[6],[7]]=>10
[3,6,4,7,1,2,5]=>[[1,2,4],[3,6,7],[5]]=>11
[3,6,4,7,1,5,2]=>[[1,2,4],[3,6],[5,7]]=>12
[3,6,4,7,2,1,5]=>[[1,2,4],[3,7],[5],[6]]=>12
[3,6,4,7,2,5,1]=>[[1,2,4],[3,6],[5],[7]]=>13
[3,6,4,7,5,1,2]=>[[1,2,4],[3,5],[6,7]]=>10
[3,6,4,7,5,2,1]=>[[1,2,4],[3,5],[6],[7]]=>11
[3,6,5,1,2,4,7]=>[[1,2,6,7],[3,5],[4]]=>9
[3,6,5,1,2,7,4]=>[[1,2,6],[3,5,7],[4]]=>10
[3,6,5,1,4,2,7]=>[[1,2,7],[3,5],[4],[6]]=>11
[3,6,5,1,4,7,2]=>[[1,2,6],[3,5],[4],[7]]=>12
[3,6,5,1,7,2,4]=>[[1,2,5],[3,6,7],[4]]=>8
[3,6,5,1,7,4,2]=>[[1,2,5],[3,6],[4],[7]]=>10
[3,6,5,2,1,4,7]=>[[1,2,7],[3,6],[4],[5]]=>10
[3,6,5,2,1,7,4]=>[[1,2,6],[3,7],[4],[5]]=>9
[3,6,5,2,4,1,7]=>[[1,2,7],[3,5],[4],[6]]=>11
[3,6,5,2,4,7,1]=>[[1,2,6],[3,5],[4],[7]]=>12
[3,6,5,2,7,1,4]=>[[1,2,5],[3,7],[4],[6]]=>11
[3,6,5,2,7,4,1]=>[[1,2,5],[3,6],[4],[7]]=>10
[3,6,5,4,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>10
[3,6,5,4,1,7,2]=>[[1,2,6],[3,7],[4],[5]]=>9
[3,6,5,4,2,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>11
[3,6,5,4,2,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>12
[3,6,5,4,7,1,2]=>[[1,2,5],[3,7],[4],[6]]=>11
[3,6,5,4,7,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>13
[3,6,5,7,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>11
[3,6,5,7,1,4,2]=>[[1,2,4],[3,6],[5],[7]]=>13
[3,6,5,7,2,1,4]=>[[1,2,4],[3,7],[5],[6]]=>12
[3,6,5,7,2,4,1]=>[[1,2,4],[3,6],[5],[7]]=>13
[3,6,5,7,4,1,2]=>[[1,2,4],[3,7],[5],[6]]=>12
[3,6,5,7,4,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>14
[3,6,7,1,2,4,5]=>[[1,2,3,7],[4,5,6]]=>4
[3,6,7,1,2,5,4]=>[[1,2,3],[4,5,6],[7]]=>5
[3,6,7,1,4,2,5]=>[[1,2,3],[4,5,7],[6]]=>6
[3,6,7,1,4,5,2]=>[[1,2,3],[4,5,6],[7]]=>5
[3,6,7,1,5,2,4]=>[[1,2,3],[4,5,7],[6]]=>6
[3,6,7,1,5,4,2]=>[[1,2,3],[4,5],[6],[7]]=>7
[3,6,7,2,1,4,5]=>[[1,2,3],[4,6,7],[5]]=>7
[3,6,7,2,1,5,4]=>[[1,2,3],[4,6],[5,7]]=>8
[3,6,7,2,4,1,5]=>[[1,2,3],[4,5,7],[6]]=>6
[3,6,7,2,4,5,1]=>[[1,2,3],[4,5,6],[7]]=>5
[3,6,7,2,5,1,4]=>[[1,2,3],[4,5],[6,7]]=>6
[3,6,7,2,5,4,1]=>[[1,2,3],[4,5],[6],[7]]=>7
[3,6,7,4,1,2,5]=>[[1,2,3],[4,6,7],[5]]=>7
[3,6,7,4,1,5,2]=>[[1,2,3],[4,6],[5,7]]=>8
[3,6,7,4,2,1,5]=>[[1,2,3],[4,7],[5],[6]]=>8
[3,6,7,4,2,5,1]=>[[1,2,3],[4,6],[5],[7]]=>9
[3,6,7,4,5,1,2]=>[[1,2,3],[4,5],[6,7]]=>6
[3,6,7,4,5,2,1]=>[[1,2,3],[4,5],[6],[7]]=>7
[3,6,7,5,1,2,4]=>[[1,2,3],[4,6,7],[5]]=>7
[3,6,7,5,1,4,2]=>[[1,2,3],[4,6],[5],[7]]=>9
[3,6,7,5,2,1,4]=>[[1,2,3],[4,7],[5],[6]]=>8
[3,6,7,5,2,4,1]=>[[1,2,3],[4,6],[5],[7]]=>9
[3,6,7,5,4,1,2]=>[[1,2,3],[4,7],[5],[6]]=>8
[3,6,7,5,4,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>10
[3,7,1,2,4,5,6]=>[[1,2,5,6,7],[3,4]]=>5
[3,7,1,2,4,6,5]=>[[1,2,5,6],[3,4],[7]]=>7
[3,7,1,2,5,4,6]=>[[1,2,5,7],[3,4],[6]]=>8
[3,7,1,2,5,6,4]=>[[1,2,5,6],[3,4],[7]]=>7
[3,7,1,2,6,4,5]=>[[1,2,5,7],[3,4],[6]]=>8
[3,7,1,2,6,5,4]=>[[1,2,5],[3,4],[6],[7]]=>10
[3,7,1,4,2,5,6]=>[[1,2,6,7],[3,4],[5]]=>6
[3,7,1,4,2,6,5]=>[[1,2,6],[3,4,7],[5]]=>7
[3,7,1,4,5,2,6]=>[[1,2,5,7],[3,4],[6]]=>8
[3,7,1,4,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>7
[3,7,1,4,6,2,5]=>[[1,2,5],[3,4,7],[6]]=>9
[3,7,1,4,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>10
[3,7,1,5,2,4,6]=>[[1,2,6,7],[3,4],[5]]=>6
[3,7,1,5,2,6,4]=>[[1,2,6],[3,4,7],[5]]=>7
[3,7,1,5,4,2,6]=>[[1,2,7],[3,4],[5],[6]]=>8
[3,7,1,5,4,6,2]=>[[1,2,6],[3,4],[5],[7]]=>9
[3,7,1,5,6,2,4]=>[[1,2,5],[3,4,7],[6]]=>9
[3,7,1,5,6,4,2]=>[[1,2,5],[3,4],[6],[7]]=>10
[3,7,1,6,2,4,5]=>[[1,2,6,7],[3,4],[5]]=>6
[3,7,1,6,2,5,4]=>[[1,2,6],[3,4],[5],[7]]=>9
[3,7,1,6,4,2,5]=>[[1,2,7],[3,4],[5],[6]]=>8
[3,7,1,6,4,5,2]=>[[1,2,6],[3,4],[5],[7]]=>9
[3,7,1,6,5,2,4]=>[[1,2,7],[3,4],[5],[6]]=>8
[3,7,1,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7]]=>11
[3,7,2,1,4,5,6]=>[[1,2,6,7],[3,5],[4]]=>9
[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]]=>12
[3,7,2,4,1,5,6]=>[[1,2,6,7],[3,4],[5]]=>6
[3,7,2,4,1,6,5]=>[[1,2,6],[3,4],[5,7]]=>8
[3,7,2,4,5,1,6]=>[[1,2,5,7],[3,4],[6]]=>8
[3,7,2,4,5,6,1]=>[[1,2,5,6],[3,4],[7]]=>7
[3,7,2,4,6,1,5]=>[[1,2,5],[3,4],[6,7]]=>9
[3,7,2,4,6,5,1]=>[[1,2,5],[3,4],[6],[7]]=>10
[3,7,2,5,1,4,6]=>[[1,2,7],[3,4],[5,6]]=>7
[3,7,2,5,1,6,4]=>[[1,2,6],[3,4],[5,7]]=>8
[3,7,2,5,4,1,6]=>[[1,2,7],[3,4],[5],[6]]=>8
[3,7,2,5,4,6,1]=>[[1,2,6],[3,4],[5],[7]]=>9
[3,7,2,5,6,1,4]=>[[1,2,5],[3,4],[6,7]]=>9
[3,7,2,5,6,4,1]=>[[1,2,5],[3,4],[6],[7]]=>10
[3,7,2,6,1,4,5]=>[[1,2,7],[3,4],[5,6]]=>7
[3,7,2,6,1,5,4]=>[[1,2],[3,4],[5,6],[7]]=>9
[3,7,2,6,4,1,5]=>[[1,2,7],[3,4],[5],[6]]=>8
[3,7,2,6,4,5,1]=>[[1,2,6],[3,4],[5],[7]]=>9
[3,7,2,6,5,1,4]=>[[1,2],[3,4],[5,7],[6]]=>10
[3,7,2,6,5,4,1]=>[[1,2],[3,4],[5],[6],[7]]=>11
[3,7,4,1,2,5,6]=>[[1,2,6,7],[3,5],[4]]=>9
[3,7,4,1,2,6,5]=>[[1,2,6],[3,5,7],[4]]=>10
[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]]=>7
[3,7,4,1,6,2,5]=>[[1,2,5],[3,6,7],[4]]=>8
[3,7,4,1,6,5,2]=>[[1,2,5],[3,6],[4],[7]]=>10
[3,7,4,2,1,5,6]=>[[1,2,6,7],[3],[4],[5]]=>8
[3,7,4,2,1,6,5]=>[[1,2,6],[3,7],[4],[5]]=>9
[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]]=>9
[3,7,4,2,6,1,5]=>[[1,2,5],[3,7],[4],[6]]=>11
[3,7,4,2,6,5,1]=>[[1,2,5],[3,6],[4],[7]]=>10
[3,7,4,5,1,2,6]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[3,7,4,5,6,2,1]=>[[1,2,4,5],[3],[6],[7]]=>10
[3,7,4,6,1,2,5]=>[[1,2,4],[3,6,7],[5]]=>11
[3,7,4,6,1,5,2]=>[[1,2,4],[3,6],[5],[7]]=>13
[3,7,4,6,2,1,5]=>[[1,2,4],[3,7],[5],[6]]=>12
[3,7,4,6,2,5,1]=>[[1,2,4],[3,6],[5],[7]]=>13
[3,7,4,6,5,1,2]=>[[1,2,4],[3,7],[5],[6]]=>12
[3,7,4,6,5,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>14
[3,7,5,1,2,4,6]=>[[1,2,6,7],[3,5],[4]]=>9
[3,7,5,1,2,6,4]=>[[1,2,6],[3,5,7],[4]]=>10
[3,7,5,1,4,2,6]=>[[1,2,7],[3,5],[4],[6]]=>11
[3,7,5,1,4,6,2]=>[[1,2,6],[3,5],[4],[7]]=>12
[3,7,5,1,6,2,4]=>[[1,2,5],[3,6,7],[4]]=>8
[3,7,5,1,6,4,2]=>[[1,2,5],[3,6],[4],[7]]=>10
[3,7,5,2,1,4,6]=>[[1,2,7],[3,6],[4],[5]]=>10
[3,7,5,2,1,6,4]=>[[1,2,6],[3,7],[4],[5]]=>9
[3,7,5,2,4,1,6]=>[[1,2,7],[3,5],[4],[6]]=>11
[3,7,5,2,4,6,1]=>[[1,2,6],[3,5],[4],[7]]=>12
[3,7,5,2,6,1,4]=>[[1,2,5],[3,7],[4],[6]]=>11
[3,7,5,2,6,4,1]=>[[1,2,5],[3,6],[4],[7]]=>10
[3,7,5,4,1,2,6]=>[[1,2,7],[3,6],[4],[5]]=>10
[3,7,5,4,1,6,2]=>[[1,2,6],[3,7],[4],[5]]=>9
[3,7,5,4,2,1,6]=>[[1,2,7],[3],[4],[5],[6]]=>11
[3,7,5,4,2,6,1]=>[[1,2,6],[3],[4],[5],[7]]=>12
[3,7,5,4,6,1,2]=>[[1,2,5],[3,7],[4],[6]]=>11
[3,7,5,4,6,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>13
[3,7,5,6,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>11
[3,7,5,6,1,4,2]=>[[1,2,4],[3,6],[5],[7]]=>13
[3,7,5,6,2,1,4]=>[[1,2,4],[3,7],[5],[6]]=>12
[3,7,5,6,2,4,1]=>[[1,2,4],[3,6],[5],[7]]=>13
[3,7,5,6,4,1,2]=>[[1,2,4],[3,7],[5],[6]]=>12
[3,7,5,6,4,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>14
[3,7,6,1,2,4,5]=>[[1,2,6,7],[3,5],[4]]=>9
[3,7,6,1,2,5,4]=>[[1,2,6],[3,5],[4],[7]]=>12
[3,7,6,1,4,2,5]=>[[1,2,7],[3,5],[4],[6]]=>11
[3,7,6,1,4,5,2]=>[[1,2,6],[3,5],[4],[7]]=>12
[3,7,6,1,5,2,4]=>[[1,2,7],[3,5],[4],[6]]=>11
[3,7,6,1,5,4,2]=>[[1,2],[3,5],[4],[6],[7]]=>14
[3,7,6,2,1,4,5]=>[[1,2,7],[3,6],[4],[5]]=>10
[3,7,6,2,1,5,4]=>[[1,2],[3,6],[4,7],[5]]=>11
[3,7,6,2,4,1,5]=>[[1,2,7],[3,5],[4],[6]]=>11
[3,7,6,2,4,5,1]=>[[1,2,6],[3,5],[4],[7]]=>12
[3,7,6,2,5,1,4]=>[[1,2],[3,5],[4,7],[6]]=>13
[3,7,6,2,5,4,1]=>[[1,2],[3,5],[4],[6],[7]]=>14
[3,7,6,4,1,2,5]=>[[1,2,7],[3,6],[4],[5]]=>10
[3,7,6,4,1,5,2]=>[[1,2,6],[3,7],[4],[5]]=>9
[3,7,6,4,2,1,5]=>[[1,2,7],[3],[4],[5],[6]]=>11
[3,7,6,4,2,5,1]=>[[1,2,6],[3],[4],[5],[7]]=>12
[3,7,6,4,5,1,2]=>[[1,2,5],[3,7],[4],[6]]=>11
[3,7,6,4,5,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>13
[3,7,6,5,1,2,4]=>[[1,2,7],[3,6],[4],[5]]=>10
[3,7,6,5,1,4,2]=>[[1,2],[3,6],[4],[5],[7]]=>13
[3,7,6,5,2,1,4]=>[[1,2],[3,7],[4],[5],[6]]=>12
[3,7,6,5,2,4,1]=>[[1,2],[3,6],[4],[5],[7]]=>13
[3,7,6,5,4,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>12
[3,7,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>15
[4,1,2,3,5,6,7]=>[[1,3,4,5,6,7],[2]]=>6
[4,1,2,3,5,7,6]=>[[1,3,4,5,6],[2,7]]=>7
[4,1,2,3,6,5,7]=>[[1,3,4,5,7],[2,6]]=>8
[4,1,2,3,6,7,5]=>[[1,3,4,5,6],[2,7]]=>7
[4,1,2,3,7,5,6]=>[[1,3,4,5,7],[2,6]]=>8
[4,1,2,3,7,6,5]=>[[1,3,4,5],[2,6],[7]]=>9
[4,1,2,5,3,6,7]=>[[1,3,4,6,7],[2,5]]=>9
[4,1,2,5,3,7,6]=>[[1,3,4,6],[2,5,7]]=>10
[4,1,2,5,6,3,7]=>[[1,3,4,5,7],[2,6]]=>8
[4,1,2,5,6,7,3]=>[[1,3,4,5,6],[2,7]]=>7
[4,1,2,5,7,3,6]=>[[1,3,4,5],[2,6,7]]=>8
[4,1,2,5,7,6,3]=>[[1,3,4,5],[2,6],[7]]=>9
[4,1,2,6,3,5,7]=>[[1,3,4,6,7],[2,5]]=>9
[4,1,2,6,3,7,5]=>[[1,3,4,6],[2,5,7]]=>10
[4,1,2,6,5,3,7]=>[[1,3,4,7],[2,5],[6]]=>10
[4,1,2,6,5,7,3]=>[[1,3,4,6],[2,5],[7]]=>11
[4,1,2,6,7,3,5]=>[[1,3,4,5],[2,6,7]]=>8
[4,1,2,6,7,5,3]=>[[1,3,4,5],[2,6],[7]]=>9
[4,1,2,7,3,5,6]=>[[1,3,4,6,7],[2,5]]=>9
[4,1,2,7,3,6,5]=>[[1,3,4,6],[2,5],[7]]=>11
[4,1,2,7,5,3,6]=>[[1,3,4,7],[2,5],[6]]=>10
[4,1,2,7,5,6,3]=>[[1,3,4,6],[2,5],[7]]=>11
[4,1,2,7,6,3,5]=>[[1,3,4,7],[2,5],[6]]=>10
[4,1,2,7,6,5,3]=>[[1,3,4],[2,5],[6],[7]]=>12
[4,1,3,2,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>11
[4,1,3,2,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>12
[4,1,3,2,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>13
[4,1,3,2,6,7,5]=>[[1,3,5,6],[2,7],[4]]=>12
[4,1,3,2,7,5,6]=>[[1,3,5,7],[2,6],[4]]=>13
[4,1,3,2,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>14
[4,1,3,5,2,6,7]=>[[1,3,4,6,7],[2],[5]]=>10
[4,1,3,5,2,7,6]=>[[1,3,4,6],[2,7],[5]]=>11
[4,1,3,5,6,2,7]=>[[1,3,4,5,7],[2],[6]]=>9
[4,1,3,5,6,7,2]=>[[1,3,4,5,6],[2],[7]]=>8
[4,1,3,5,7,2,6]=>[[1,3,4,5],[2,7],[6]]=>10
[4,1,3,5,7,6,2]=>[[1,3,4,5],[2,6],[7]]=>9
[4,1,3,6,2,5,7]=>[[1,3,4,7],[2,6],[5]]=>12
[4,1,3,6,2,7,5]=>[[1,3,4,6],[2,7],[5]]=>11
[4,1,3,6,5,2,7]=>[[1,3,4,7],[2,5],[6]]=>10
[4,1,3,6,5,7,2]=>[[1,3,4,6],[2,5],[7]]=>11
[4,1,3,6,7,2,5]=>[[1,3,4,5],[2,7],[6]]=>10
[4,1,3,6,7,5,2]=>[[1,3,4,5],[2,6],[7]]=>9
[4,1,3,7,2,5,6]=>[[1,3,4,7],[2,6],[5]]=>12
[4,1,3,7,2,6,5]=>[[1,3,4],[2,6],[5,7]]=>13
[4,1,3,7,5,2,6]=>[[1,3,4,7],[2,5],[6]]=>10
[4,1,3,7,5,6,2]=>[[1,3,4,6],[2,5],[7]]=>11
[4,1,3,7,6,2,5]=>[[1,3,4],[2,5],[6,7]]=>11
[4,1,3,7,6,5,2]=>[[1,3,4],[2,5],[6],[7]]=>12
[4,1,5,2,3,6,7]=>[[1,3,5,6,7],[2,4]]=>10
[4,1,5,2,3,7,6]=>[[1,3,5,6],[2,4,7]]=>11
[4,1,5,2,6,3,7]=>[[1,3,5,7],[2,4,6]]=>12
[4,1,5,2,6,7,3]=>[[1,3,5,6],[2,4,7]]=>11
[4,1,5,2,7,3,6]=>[[1,3,5,7],[2,4,6]]=>12
[4,1,5,2,7,6,3]=>[[1,3,5],[2,4,6],[7]]=>13
[4,1,5,3,2,6,7]=>[[1,3,6,7],[2,4],[5]]=>11
[4,1,5,3,2,7,6]=>[[1,3,6],[2,4,7],[5]]=>12
[4,1,5,3,6,2,7]=>[[1,3,5,7],[2,4],[6]]=>13
[4,1,5,3,6,7,2]=>[[1,3,5,6],[2,4],[7]]=>12
[4,1,5,3,7,2,6]=>[[1,3,5],[2,4,7],[6]]=>14
[4,1,5,3,7,6,2]=>[[1,3,5],[2,4,6],[7]]=>13
[4,1,5,6,2,3,7]=>[[1,3,4,7],[2,5,6]]=>9
[4,1,5,6,2,7,3]=>[[1,3,4,6],[2,5,7]]=>10
[4,1,5,6,3,2,7]=>[[1,3,4,7],[2,5],[6]]=>10
[4,1,5,6,3,7,2]=>[[1,3,4,6],[2,5],[7]]=>11
[4,1,5,6,7,2,3]=>[[1,3,4,5],[2,6,7]]=>8
[4,1,5,6,7,3,2]=>[[1,3,4,5],[2,6],[7]]=>9
[4,1,5,7,2,3,6]=>[[1,3,4,7],[2,5,6]]=>9
[4,1,5,7,2,6,3]=>[[1,3,4],[2,5,6],[7]]=>10
[4,1,5,7,3,2,6]=>[[1,3,4],[2,5,7],[6]]=>11
[4,1,5,7,3,6,2]=>[[1,3,4],[2,5,6],[7]]=>10
[4,1,5,7,6,2,3]=>[[1,3,4],[2,5,7],[6]]=>11
[4,1,5,7,6,3,2]=>[[1,3,4],[2,5],[6],[7]]=>12
[4,1,6,2,3,5,7]=>[[1,3,5,6,7],[2,4]]=>10
[4,1,6,2,3,7,5]=>[[1,3,5,6],[2,4,7]]=>11
[4,1,6,2,5,3,7]=>[[1,3,5,7],[2,4],[6]]=>13
[4,1,6,2,5,7,3]=>[[1,3,5,6],[2,4],[7]]=>12
[4,1,6,2,7,3,5]=>[[1,3,5,7],[2,4,6]]=>12
[4,1,6,2,7,5,3]=>[[1,3,5],[2,4,6],[7]]=>13
[4,1,6,3,2,5,7]=>[[1,3,6,7],[2,4],[5]]=>11
[4,1,6,3,2,7,5]=>[[1,3,6],[2,4,7],[5]]=>12
[4,1,6,3,5,2,7]=>[[1,3,5,7],[2,4],[6]]=>13
[4,1,6,3,5,7,2]=>[[1,3,5,6],[2,4],[7]]=>12
[4,1,6,3,7,2,5]=>[[1,3,5],[2,4,7],[6]]=>14
[4,1,6,3,7,5,2]=>[[1,3,5],[2,4,6],[7]]=>13
[4,1,6,5,2,3,7]=>[[1,3,6,7],[2,4],[5]]=>11
[4,1,6,5,2,7,3]=>[[1,3,6],[2,4,7],[5]]=>12
[4,1,6,5,3,2,7]=>[[1,3,7],[2,4],[5],[6]]=>13
[4,1,6,5,3,7,2]=>[[1,3,6],[2,4],[5],[7]]=>14
[4,1,6,5,7,2,3]=>[[1,3,5],[2,4,7],[6]]=>14
[4,1,6,5,7,3,2]=>[[1,3,5],[2,4],[6],[7]]=>15
[4,1,6,7,2,3,5]=>[[1,3,4,7],[2,5,6]]=>9
[4,1,6,7,2,5,3]=>[[1,3,4],[2,5,6],[7]]=>10
[4,1,6,7,3,2,5]=>[[1,3,4],[2,5,7],[6]]=>11
[4,1,6,7,3,5,2]=>[[1,3,4],[2,5,6],[7]]=>10
[4,1,6,7,5,2,3]=>[[1,3,4],[2,5,7],[6]]=>11
[4,1,6,7,5,3,2]=>[[1,3,4],[2,5],[6],[7]]=>12
[4,1,7,2,3,5,6]=>[[1,3,5,6,7],[2,4]]=>10
[4,1,7,2,3,6,5]=>[[1,3,5,6],[2,4],[7]]=>12
[4,1,7,2,5,3,6]=>[[1,3,5,7],[2,4],[6]]=>13
[4,1,7,2,5,6,3]=>[[1,3,5,6],[2,4],[7]]=>12
[4,1,7,2,6,3,5]=>[[1,3,5,7],[2,4],[6]]=>13
[4,1,7,2,6,5,3]=>[[1,3,5],[2,4],[6],[7]]=>15
[4,1,7,3,2,5,6]=>[[1,3,6,7],[2,4],[5]]=>11
[4,1,7,3,2,6,5]=>[[1,3,6],[2,4],[5,7]]=>13
[4,1,7,3,5,2,6]=>[[1,3,5,7],[2,4],[6]]=>13
[4,1,7,3,5,6,2]=>[[1,3,5,6],[2,4],[7]]=>12
[4,1,7,3,6,2,5]=>[[1,3,5],[2,4],[6,7]]=>14
[4,1,7,3,6,5,2]=>[[1,3,5],[2,4],[6],[7]]=>15
[4,1,7,5,2,3,6]=>[[1,3,6,7],[2,4],[5]]=>11
[4,1,7,5,2,6,3]=>[[1,3,6],[2,4,7],[5]]=>12
[4,1,7,5,3,2,6]=>[[1,3,7],[2,4],[5],[6]]=>13
[4,1,7,5,3,6,2]=>[[1,3,6],[2,4],[5],[7]]=>14
[4,1,7,5,6,2,3]=>[[1,3,5],[2,4,7],[6]]=>14
[4,1,7,5,6,3,2]=>[[1,3,5],[2,4],[6],[7]]=>15
[4,1,7,6,2,3,5]=>[[1,3,6,7],[2,4],[5]]=>11
[4,1,7,6,2,5,3]=>[[1,3,6],[2,4],[5],[7]]=>14
[4,1,7,6,3,2,5]=>[[1,3,7],[2,4],[5],[6]]=>13
[4,1,7,6,3,5,2]=>[[1,3,6],[2,4],[5],[7]]=>14
[4,1,7,6,5,2,3]=>[[1,3,7],[2,4],[5],[6]]=>13
[4,1,7,6,5,3,2]=>[[1,3],[2,4],[5],[6],[7]]=>16
[4,2,1,3,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>7
[4,2,1,3,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>8
[4,2,1,3,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>9
[4,2,1,3,6,7,5]=>[[1,4,5,6],[2,7],[3]]=>8
[4,2,1,3,7,5,6]=>[[1,4,5,7],[2,6],[3]]=>9
[4,2,1,3,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>10
[4,2,1,5,3,6,7]=>[[1,4,6,7],[2,5],[3]]=>10
[4,2,1,5,3,7,6]=>[[1,4,6],[2,5,7],[3]]=>11
[4,2,1,5,6,3,7]=>[[1,4,5,7],[2,6],[3]]=>9
[4,2,1,5,6,7,3]=>[[1,4,5,6],[2,7],[3]]=>8
[4,2,1,5,7,3,6]=>[[1,4,5],[2,6,7],[3]]=>9
[4,2,1,5,7,6,3]=>[[1,4,5],[2,6],[3,7]]=>10
[4,2,1,6,3,5,7]=>[[1,4,6,7],[2,5],[3]]=>10
[4,2,1,6,3,7,5]=>[[1,4,6],[2,5,7],[3]]=>11
[4,2,1,6,5,3,7]=>[[1,4,7],[2,5],[3,6]]=>11
[4,2,1,6,5,7,3]=>[[1,4,6],[2,5],[3,7]]=>12
[4,2,1,6,7,3,5]=>[[1,4,5],[2,6,7],[3]]=>9
[4,2,1,6,7,5,3]=>[[1,4,5],[2,6],[3,7]]=>10
[4,2,1,7,3,5,6]=>[[1,4,6,7],[2,5],[3]]=>10
[4,2,1,7,3,6,5]=>[[1,4,6],[2,5],[3,7]]=>12
[4,2,1,7,5,3,6]=>[[1,4,7],[2,5],[3,6]]=>11
[4,2,1,7,5,6,3]=>[[1,4,6],[2,5],[3,7]]=>12
[4,2,1,7,6,3,5]=>[[1,4,7],[2,5],[3,6]]=>11
[4,2,1,7,6,5,3]=>[[1,4],[2,5],[3,6],[7]]=>13
[4,2,3,1,5,6,7]=>[[1,3,5,6,7],[2],[4]]=>11
[4,2,3,1,5,7,6]=>[[1,3,5,6],[2,7],[4]]=>12
[4,2,3,1,6,5,7]=>[[1,3,5,7],[2,6],[4]]=>13
[4,2,3,1,6,7,5]=>[[1,3,5,6],[2,7],[4]]=>12
[4,2,3,1,7,5,6]=>[[1,3,5,7],[2,6],[4]]=>13
[4,2,3,1,7,6,5]=>[[1,3,5],[2,6],[4,7]]=>14
[4,2,3,5,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>10
[4,2,3,5,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>11
[4,2,3,5,6,1,7]=>[[1,3,4,5,7],[2],[6]]=>9
[4,2,3,5,6,7,1]=>[[1,3,4,5,6],[2],[7]]=>8
[4,2,3,5,7,1,6]=>[[1,3,4,5],[2,7],[6]]=>10
[4,2,3,5,7,6,1]=>[[1,3,4,5],[2,6],[7]]=>9
[4,2,3,6,1,5,7]=>[[1,3,4,7],[2,6],[5]]=>12
[4,2,3,6,1,7,5]=>[[1,3,4,6],[2,7],[5]]=>11
[4,2,3,6,5,1,7]=>[[1,3,4,7],[2,5],[6]]=>10
[4,2,3,6,5,7,1]=>[[1,3,4,6],[2,5],[7]]=>11
[4,2,3,6,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>10
[4,2,3,6,7,5,1]=>[[1,3,4,5],[2,6],[7]]=>9
[4,2,3,7,1,5,6]=>[[1,3,4,7],[2,6],[5]]=>12
[4,2,3,7,1,6,5]=>[[1,3,4],[2,6],[5,7]]=>13
[4,2,3,7,5,1,6]=>[[1,3,4,7],[2,5],[6]]=>10
[4,2,3,7,5,6,1]=>[[1,3,4,6],[2,5],[7]]=>11
[4,2,3,7,6,1,5]=>[[1,3,4],[2,5],[6,7]]=>11
[4,2,3,7,6,5,1]=>[[1,3,4],[2,5],[6],[7]]=>12
[4,2,5,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>14
[4,2,5,1,3,7,6]=>[[1,3,6],[2,5,7],[4]]=>15
[4,2,5,1,6,3,7]=>[[1,3,5,7],[2,6],[4]]=>13
[4,2,5,1,6,7,3]=>[[1,3,5,6],[2,7],[4]]=>12
[4,2,5,1,7,3,6]=>[[1,3,5],[2,6,7],[4]]=>13
[4,2,5,1,7,6,3]=>[[1,3,5],[2,6],[4,7]]=>14
[4,2,5,3,1,6,7]=>[[1,3,6,7],[2,4],[5]]=>11
[4,2,5,3,1,7,6]=>[[1,3,6],[2,4,7],[5]]=>12
[4,2,5,3,6,1,7]=>[[1,3,5,7],[2,4],[6]]=>13
[4,2,5,3,6,7,1]=>[[1,3,5,6],[2,4],[7]]=>12
[4,2,5,3,7,1,6]=>[[1,3,5],[2,4,7],[6]]=>14
[4,2,5,3,7,6,1]=>[[1,3,5],[2,4,6],[7]]=>13
[4,2,5,6,1,3,7]=>[[1,3,4,7],[2,6],[5]]=>12
[4,2,5,6,1,7,3]=>[[1,3,4,6],[2,7],[5]]=>11
[4,2,5,6,3,1,7]=>[[1,3,4,7],[2,5],[6]]=>10
[4,2,5,6,3,7,1]=>[[1,3,4,6],[2,5],[7]]=>11
[4,2,5,6,7,1,3]=>[[1,3,4,5],[2,7],[6]]=>10
[4,2,5,6,7,3,1]=>[[1,3,4,5],[2,6],[7]]=>9
[4,2,5,7,1,3,6]=>[[1,3,4],[2,6,7],[5]]=>12
[4,2,5,7,1,6,3]=>[[1,3,4],[2,6],[5,7]]=>13
[4,2,5,7,3,1,6]=>[[1,3,4],[2,5,7],[6]]=>11
[4,2,5,7,3,6,1]=>[[1,3,4],[2,5,6],[7]]=>10
[4,2,5,7,6,1,3]=>[[1,3,4],[2,5],[6,7]]=>11
[4,2,5,7,6,3,1]=>[[1,3,4],[2,5],[6],[7]]=>12
[4,2,6,1,3,5,7]=>[[1,3,6,7],[2,5],[4]]=>14
[4,2,6,1,3,7,5]=>[[1,3,6],[2,5,7],[4]]=>15
[4,2,6,1,5,3,7]=>[[1,3,7],[2,5],[4,6]]=>15
[4,2,6,1,5,7,3]=>[[1,3,6],[2,5],[4,7]]=>16
[4,2,6,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>13
[4,2,6,1,7,5,3]=>[[1,3,5],[2,6],[4,7]]=>14
[4,2,6,3,1,5,7]=>[[1,3,6,7],[2,4],[5]]=>11
[4,2,6,3,1,7,5]=>[[1,3,6],[2,4,7],[5]]=>12
[4,2,6,3,5,1,7]=>[[1,3,5,7],[2,4],[6]]=>13
[4,2,6,3,5,7,1]=>[[1,3,5,6],[2,4],[7]]=>12
[4,2,6,3,7,1,5]=>[[1,3,5],[2,4,7],[6]]=>14
[4,2,6,3,7,5,1]=>[[1,3,5],[2,4,6],[7]]=>13
[4,2,6,5,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>12
[4,2,6,5,1,7,3]=>[[1,3,6],[2,4],[5,7]]=>13
[4,2,6,5,3,1,7]=>[[1,3,7],[2,4],[5],[6]]=>13
[4,2,6,5,3,7,1]=>[[1,3,6],[2,4],[5],[7]]=>14
[4,2,6,5,7,1,3]=>[[1,3,5],[2,4],[6,7]]=>14
[4,2,6,5,7,3,1]=>[[1,3,5],[2,4],[6],[7]]=>15
[4,2,6,7,1,3,5]=>[[1,3,4],[2,6,7],[5]]=>12
[4,2,6,7,1,5,3]=>[[1,3,4],[2,6],[5,7]]=>13
[4,2,6,7,3,1,5]=>[[1,3,4],[2,5,7],[6]]=>11
[4,2,6,7,3,5,1]=>[[1,3,4],[2,5,6],[7]]=>10
[4,2,6,7,5,1,3]=>[[1,3,4],[2,5],[6,7]]=>11
[4,2,6,7,5,3,1]=>[[1,3,4],[2,5],[6],[7]]=>12
[4,2,7,1,3,5,6]=>[[1,3,6,7],[2,5],[4]]=>14
[4,2,7,1,3,6,5]=>[[1,3,6],[2,5],[4,7]]=>16
[4,2,7,1,5,3,6]=>[[1,3,7],[2,5],[4,6]]=>15
[4,2,7,1,5,6,3]=>[[1,3,6],[2,5],[4,7]]=>16
[4,2,7,1,6,3,5]=>[[1,3,7],[2,5],[4,6]]=>15
[4,2,7,1,6,5,3]=>[[1,3],[2,5],[4,6],[7]]=>17
[4,2,7,3,1,5,6]=>[[1,3,6,7],[2,4],[5]]=>11
[4,2,7,3,1,6,5]=>[[1,3,6],[2,4],[5,7]]=>13
[4,2,7,3,5,1,6]=>[[1,3,5,7],[2,4],[6]]=>13
[4,2,7,3,5,6,1]=>[[1,3,5,6],[2,4],[7]]=>12
[4,2,7,3,6,1,5]=>[[1,3,5],[2,4],[6,7]]=>14
[4,2,7,3,6,5,1]=>[[1,3,5],[2,4],[6],[7]]=>15
[4,2,7,5,1,3,6]=>[[1,3,7],[2,4],[5,6]]=>12
[4,2,7,5,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>13
[4,2,7,5,3,1,6]=>[[1,3,7],[2,4],[5],[6]]=>13
[4,2,7,5,3,6,1]=>[[1,3,6],[2,4],[5],[7]]=>14
[4,2,7,5,6,1,3]=>[[1,3,5],[2,4],[6,7]]=>14
[4,2,7,5,6,3,1]=>[[1,3,5],[2,4],[6],[7]]=>15
[4,2,7,6,1,3,5]=>[[1,3,7],[2,4],[5,6]]=>12
[4,2,7,6,1,5,3]=>[[1,3],[2,4],[5,6],[7]]=>14
[4,2,7,6,3,1,5]=>[[1,3,7],[2,4],[5],[6]]=>13
[4,2,7,6,3,5,1]=>[[1,3,6],[2,4],[5],[7]]=>14
[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]]=>16
[4,3,1,2,5,6,7]=>[[1,4,5,6,7],[2],[3]]=>7
[4,3,1,2,5,7,6]=>[[1,4,5,6],[2,7],[3]]=>8
[4,3,1,2,6,5,7]=>[[1,4,5,7],[2,6],[3]]=>9
[4,3,1,2,6,7,5]=>[[1,4,5,6],[2,7],[3]]=>8
[4,3,1,2,7,5,6]=>[[1,4,5,7],[2,6],[3]]=>9
[4,3,1,2,7,6,5]=>[[1,4,5],[2,6],[3,7]]=>10
[4,3,1,5,2,6,7]=>[[1,4,6,7],[2,5],[3]]=>10
[4,3,1,5,2,7,6]=>[[1,4,6],[2,5,7],[3]]=>11
[4,3,1,5,6,2,7]=>[[1,4,5,7],[2,6],[3]]=>9
[4,3,1,5,6,7,2]=>[[1,4,5,6],[2,7],[3]]=>8
[4,3,1,5,7,2,6]=>[[1,4,5],[2,6,7],[3]]=>9
[4,3,1,5,7,6,2]=>[[1,4,5],[2,6],[3,7]]=>10
[4,3,1,6,2,5,7]=>[[1,4,6,7],[2,5],[3]]=>10
[4,3,1,6,2,7,5]=>[[1,4,6],[2,5,7],[3]]=>11
[4,3,1,6,5,2,7]=>[[1,4,7],[2,5],[3,6]]=>11
[4,3,1,6,5,7,2]=>[[1,4,6],[2,5],[3,7]]=>12
[4,3,1,6,7,2,5]=>[[1,4,5],[2,6,7],[3]]=>9
[4,3,1,6,7,5,2]=>[[1,4,5],[2,6],[3,7]]=>10
[4,3,1,7,2,5,6]=>[[1,4,6,7],[2,5],[3]]=>10
[4,3,1,7,2,6,5]=>[[1,4,6],[2,5],[3,7]]=>12
[4,3,1,7,5,2,6]=>[[1,4,7],[2,5],[3,6]]=>11
[4,3,1,7,5,6,2]=>[[1,4,6],[2,5],[3,7]]=>12
[4,3,1,7,6,2,5]=>[[1,4,7],[2,5],[3,6]]=>11
[4,3,1,7,6,5,2]=>[[1,4],[2,5],[3,6],[7]]=>13
[4,3,2,1,5,6,7]=>[[1,5,6,7],[2],[3],[4]]=>9
[4,3,2,1,5,7,6]=>[[1,5,6],[2,7],[3],[4]]=>10
[4,3,2,1,6,5,7]=>[[1,5,7],[2,6],[3],[4]]=>11
[4,3,2,1,6,7,5]=>[[1,5,6],[2,7],[3],[4]]=>10
[4,3,2,1,7,5,6]=>[[1,5,7],[2,6],[3],[4]]=>11
[4,3,2,1,7,6,5]=>[[1,5],[2,6],[3,7],[4]]=>12
[4,3,2,5,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>12
[4,3,2,5,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>13
[4,3,2,5,6,1,7]=>[[1,4,5,7],[2],[3],[6]]=>11
[4,3,2,5,6,7,1]=>[[1,4,5,6],[2],[3],[7]]=>10
[4,3,2,5,7,1,6]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[4,3,2,6,1,7,5]=>[[1,4,6],[2,7],[3],[5]]=>13
[4,3,2,6,5,1,7]=>[[1,4,7],[2,5],[3],[6]]=>12
[4,3,2,6,5,7,1]=>[[1,4,6],[2,5],[3],[7]]=>13
[4,3,2,6,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[4,3,2,7,1,6,5]=>[[1,4],[2,6],[3,7],[5]]=>15
[4,3,2,7,5,1,6]=>[[1,4,7],[2,5],[3],[6]]=>12
[4,3,2,7,5,6,1]=>[[1,4,6],[2,5],[3],[7]]=>13
[4,3,2,7,6,1,5]=>[[1,4],[2,5],[3,7],[6]]=>14
[4,3,2,7,6,5,1]=>[[1,4],[2,5],[3,6],[7]]=>13
[4,3,5,1,2,6,7]=>[[1,3,6,7],[2,5],[4]]=>14
[4,3,5,1,2,7,6]=>[[1,3,6],[2,5,7],[4]]=>15
[4,3,5,1,6,2,7]=>[[1,3,5,7],[2,6],[4]]=>13
[4,3,5,1,6,7,2]=>[[1,3,5,6],[2,7],[4]]=>12
[4,3,5,1,7,2,6]=>[[1,3,5],[2,6,7],[4]]=>13
[4,3,5,1,7,6,2]=>[[1,3,5],[2,6],[4,7]]=>14
[4,3,5,2,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>13
[4,3,5,2,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>14
[4,3,5,2,6,1,7]=>[[1,3,5,7],[2],[4],[6]]=>15
[4,3,5,2,6,7,1]=>[[1,3,5,6],[2],[4],[7]]=>14
[4,3,5,2,7,1,6]=>[[1,3,5],[2,7],[4],[6]]=>16
[4,3,5,2,7,6,1]=>[[1,3,5],[2,6],[4],[7]]=>15
[4,3,5,6,1,2,7]=>[[1,3,4,7],[2,6],[5]]=>12
[4,3,5,6,1,7,2]=>[[1,3,4,6],[2,7],[5]]=>11
[4,3,5,6,2,1,7]=>[[1,3,4,7],[2],[5],[6]]=>12
[4,3,5,6,2,7,1]=>[[1,3,4,6],[2],[5],[7]]=>13
[4,3,5,6,7,1,2]=>[[1,3,4,5],[2,7],[6]]=>10
[4,3,5,6,7,2,1]=>[[1,3,4,5],[2],[6],[7]]=>11
[4,3,5,7,1,2,6]=>[[1,3,4],[2,6,7],[5]]=>12
[4,3,5,7,1,6,2]=>[[1,3,4],[2,6],[5,7]]=>13
[4,3,5,7,2,1,6]=>[[1,3,4],[2,7],[5],[6]]=>13
[4,3,5,7,2,6,1]=>[[1,3,4],[2,6],[5],[7]]=>14
[4,3,5,7,6,1,2]=>[[1,3,4],[2,5],[6,7]]=>11
[4,3,5,7,6,2,1]=>[[1,3,4],[2,5],[6],[7]]=>12
[4,3,6,1,2,5,7]=>[[1,3,6,7],[2,5],[4]]=>14
[4,3,6,1,2,7,5]=>[[1,3,6],[2,5,7],[4]]=>15
[4,3,6,1,5,2,7]=>[[1,3,7],[2,5],[4,6]]=>15
[4,3,6,1,5,7,2]=>[[1,3,6],[2,5],[4,7]]=>16
[4,3,6,1,7,2,5]=>[[1,3,5],[2,6,7],[4]]=>13
[4,3,6,1,7,5,2]=>[[1,3,5],[2,6],[4,7]]=>14
[4,3,6,2,1,5,7]=>[[1,3,7],[2,6],[4],[5]]=>15
[4,3,6,2,1,7,5]=>[[1,3,6],[2,7],[4],[5]]=>14
[4,3,6,2,5,1,7]=>[[1,3,7],[2,5],[4],[6]]=>16
[4,3,6,2,5,7,1]=>[[1,3,6],[2,5],[4],[7]]=>17
[4,3,6,2,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>16
[4,3,6,2,7,5,1]=>[[1,3,5],[2,6],[4],[7]]=>15
[4,3,6,5,1,2,7]=>[[1,3,7],[2,4],[5,6]]=>12
[4,3,6,5,1,7,2]=>[[1,3,6],[2,4],[5,7]]=>13
[4,3,6,5,2,1,7]=>[[1,3,7],[2,4],[5],[6]]=>13
[4,3,6,5,2,7,1]=>[[1,3,6],[2,4],[5],[7]]=>14
[4,3,6,5,7,1,2]=>[[1,3,5],[2,4],[6,7]]=>14
[4,3,6,5,7,2,1]=>[[1,3,5],[2,4],[6],[7]]=>15
[4,3,6,7,1,2,5]=>[[1,3,4],[2,6,7],[5]]=>12
[4,3,6,7,1,5,2]=>[[1,3,4],[2,6],[5,7]]=>13
[4,3,6,7,2,1,5]=>[[1,3,4],[2,7],[5],[6]]=>13
[4,3,6,7,2,5,1]=>[[1,3,4],[2,6],[5],[7]]=>14
[4,3,6,7,5,1,2]=>[[1,3,4],[2,5],[6,7]]=>11
[4,3,6,7,5,2,1]=>[[1,3,4],[2,5],[6],[7]]=>12
[4,3,7,1,2,5,6]=>[[1,3,6,7],[2,5],[4]]=>14
[4,3,7,1,2,6,5]=>[[1,3,6],[2,5],[4,7]]=>16
[4,3,7,1,5,2,6]=>[[1,3,7],[2,5],[4,6]]=>15
[4,3,7,1,5,6,2]=>[[1,3,6],[2,5],[4,7]]=>16
[4,3,7,1,6,2,5]=>[[1,3,7],[2,5],[4,6]]=>15
[4,3,7,1,6,5,2]=>[[1,3],[2,5],[4,6],[7]]=>17
[4,3,7,2,1,5,6]=>[[1,3,7],[2,6],[4],[5]]=>15
[4,3,7,2,1,6,5]=>[[1,3],[2,6],[4,7],[5]]=>16
[4,3,7,2,5,1,6]=>[[1,3,7],[2,5],[4],[6]]=>16
[4,3,7,2,5,6,1]=>[[1,3,6],[2,5],[4],[7]]=>17
[4,3,7,2,6,1,5]=>[[1,3],[2,5],[4,7],[6]]=>18
[4,3,7,2,6,5,1]=>[[1,3],[2,5],[4,6],[7]]=>17
[4,3,7,5,1,2,6]=>[[1,3,7],[2,4],[5,6]]=>12
[4,3,7,5,1,6,2]=>[[1,3,6],[2,4],[5,7]]=>13
[4,3,7,5,2,1,6]=>[[1,3,7],[2,4],[5],[6]]=>13
[4,3,7,5,2,6,1]=>[[1,3,6],[2,4],[5],[7]]=>14
[4,3,7,5,6,1,2]=>[[1,3,5],[2,4],[6,7]]=>14
[4,3,7,5,6,2,1]=>[[1,3,5],[2,4],[6],[7]]=>15
[4,3,7,6,1,2,5]=>[[1,3,7],[2,4],[5,6]]=>12
[4,3,7,6,1,5,2]=>[[1,3],[2,4],[5,6],[7]]=>14
[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]]=>14
[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]]=>16
[4,5,1,2,3,6,7]=>[[1,2,5,6,7],[3,4]]=>5
[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]]=>7
[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]]=>7
[4,5,1,2,7,6,3]=>[[1,2,5],[3,4,6],[7]]=>8
[4,5,1,3,2,6,7]=>[[1,2,6,7],[3,4],[5]]=>6
[4,5,1,3,2,7,6]=>[[1,2,6],[3,4,7],[5]]=>7
[4,5,1,3,6,2,7]=>[[1,2,5,7],[3,4],[6]]=>8
[4,5,1,3,6,7,2]=>[[1,2,5,6],[3,4],[7]]=>7
[4,5,1,3,7,2,6]=>[[1,2,5],[3,4,7],[6]]=>9
[4,5,1,3,7,6,2]=>[[1,2,5],[3,4,6],[7]]=>8
[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]]=>9
[4,5,1,6,3,7,2]=>[[1,2,4,6],[3,5],[7]]=>10
[4,5,1,6,7,2,3]=>[[1,2,4,5],[3,6,7]]=>7
[4,5,1,6,7,3,2]=>[[1,2,4,5],[3,6],[7]]=>8
[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]]=>9
[4,5,1,7,3,2,6]=>[[1,2,4],[3,5,7],[6]]=>10
[4,5,1,7,3,6,2]=>[[1,2,4],[3,5,6],[7]]=>9
[4,5,1,7,6,2,3]=>[[1,2,4],[3,5,7],[6]]=>10
[4,5,1,7,6,3,2]=>[[1,2,4],[3,5],[6],[7]]=>11
[4,5,2,1,3,6,7]=>[[1,2,6,7],[3,5],[4]]=>9
[4,5,2,1,3,7,6]=>[[1,2,6],[3,5,7],[4]]=>10
[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]]=>7
[4,5,2,1,7,3,6]=>[[1,2,5],[3,6,7],[4]]=>8
[4,5,2,1,7,6,3]=>[[1,2,5],[3,6],[4,7]]=>9
[4,5,2,3,1,6,7]=>[[1,2,6,7],[3,4],[5]]=>6
[4,5,2,3,1,7,6]=>[[1,2,6],[3,4,7],[5]]=>7
[4,5,2,3,6,1,7]=>[[1,2,5,7],[3,4],[6]]=>8
[4,5,2,3,6,7,1]=>[[1,2,5,6],[3,4],[7]]=>7
[4,5,2,3,7,1,6]=>[[1,2,5],[3,4,7],[6]]=>9
[4,5,2,3,7,6,1]=>[[1,2,5],[3,4,6],[7]]=>8
[4,5,2,6,1,3,7]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[4,5,2,6,3,7,1]=>[[1,2,4,6],[3,5],[7]]=>10
[4,5,2,6,7,1,3]=>[[1,2,4,5],[3,7],[6]]=>9
[4,5,2,6,7,3,1]=>[[1,2,4,5],[3,6],[7]]=>8
[4,5,2,7,1,3,6]=>[[1,2,4],[3,6,7],[5]]=>11
[4,5,2,7,1,6,3]=>[[1,2,4],[3,6],[5,7]]=>12
[4,5,2,7,3,1,6]=>[[1,2,4],[3,5,7],[6]]=>10
[4,5,2,7,3,6,1]=>[[1,2,4],[3,5,6],[7]]=>9
[4,5,2,7,6,1,3]=>[[1,2,4],[3,5],[6,7]]=>10
[4,5,2,7,6,3,1]=>[[1,2,4],[3,5],[6],[7]]=>11
[4,5,3,1,2,6,7]=>[[1,2,6,7],[3,5],[4]]=>9
[4,5,3,1,2,7,6]=>[[1,2,6],[3,5,7],[4]]=>10
[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]]=>7
[4,5,3,1,7,2,6]=>[[1,2,5],[3,6,7],[4]]=>8
[4,5,3,1,7,6,2]=>[[1,2,5],[3,6],[4,7]]=>9
[4,5,3,2,1,6,7]=>[[1,2,6,7],[3],[4],[5]]=>8
[4,5,3,2,1,7,6]=>[[1,2,6],[3,7],[4],[5]]=>9
[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]]=>9
[4,5,3,2,7,1,6]=>[[1,2,5],[3,7],[4],[6]]=>11
[4,5,3,2,7,6,1]=>[[1,2,5],[3,6],[4],[7]]=>10
[4,5,3,6,1,2,7]=>[[1,2,4,7],[3,6],[5]]=>11
[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]]=>9
[4,5,3,6,7,2,1]=>[[1,2,4,5],[3],[6],[7]]=>10
[4,5,3,7,1,2,6]=>[[1,2,4],[3,6,7],[5]]=>11
[4,5,3,7,1,6,2]=>[[1,2,4],[3,6],[5,7]]=>12
[4,5,3,7,2,1,6]=>[[1,2,4],[3,7],[5],[6]]=>12
[4,5,3,7,2,6,1]=>[[1,2,4],[3,6],[5],[7]]=>13
[4,5,3,7,6,1,2]=>[[1,2,4],[3,5],[6,7]]=>10
[4,5,3,7,6,2,1]=>[[1,2,4],[3,5],[6],[7]]=>11
[4,5,6,1,2,3,7]=>[[1,2,3,7],[4,5,6]]=>4
[4,5,6,1,2,7,3]=>[[1,2,3,6],[4,5,7]]=>5
[4,5,6,1,3,2,7]=>[[1,2,3,7],[4,5],[6]]=>5
[4,5,6,1,3,7,2]=>[[1,2,3,6],[4,5],[7]]=>6
[4,5,6,1,7,2,3]=>[[1,2,3,5],[4,6,7]]=>6
[4,5,6,1,7,3,2]=>[[1,2,3,5],[4,6],[7]]=>7
[4,5,6,2,1,3,7]=>[[1,2,3,7],[4,6],[5]]=>7
[4,5,6,2,1,7,3]=>[[1,2,3,6],[4,7],[5]]=>6
[4,5,6,2,3,1,7]=>[[1,2,3,7],[4,5],[6]]=>5
[4,5,6,2,3,7,1]=>[[1,2,3,6],[4,5],[7]]=>6
[4,5,6,2,7,1,3]=>[[1,2,3,5],[4,7],[6]]=>8
[4,5,6,2,7,3,1]=>[[1,2,3,5],[4,6],[7]]=>7
[4,5,6,3,1,2,7]=>[[1,2,3,7],[4,6],[5]]=>7
[4,5,6,3,1,7,2]=>[[1,2,3,6],[4,7],[5]]=>6
[4,5,6,3,2,1,7]=>[[1,2,3,7],[4],[5],[6]]=>7
[4,5,6,3,2,7,1]=>[[1,2,3,6],[4],[5],[7]]=>8
[4,5,6,3,7,1,2]=>[[1,2,3,5],[4,7],[6]]=>8
[4,5,6,3,7,2,1]=>[[1,2,3,5],[4],[6],[7]]=>9
[4,5,6,7,1,2,3]=>[[1,2,3,4],[5,6,7]]=>3
[4,5,6,7,1,3,2]=>[[1,2,3,4],[5,6],[7]]=>4
[4,5,6,7,2,1,3]=>[[1,2,3,4],[5,7],[6]]=>5
[4,5,6,7,2,3,1]=>[[1,2,3,4],[5,6],[7]]=>4
[4,5,6,7,3,1,2]=>[[1,2,3,4],[5,7],[6]]=>5
[4,5,6,7,3,2,1]=>[[1,2,3,4],[5],[6],[7]]=>6
[4,5,7,1,2,3,6]=>[[1,2,3,7],[4,5,6]]=>4
[4,5,7,1,2,6,3]=>[[1,2,3],[4,5,6],[7]]=>5
[4,5,7,1,3,2,6]=>[[1,2,3],[4,5,7],[6]]=>6
[4,5,7,1,3,6,2]=>[[1,2,3],[4,5,6],[7]]=>5
[4,5,7,1,6,2,3]=>[[1,2,3],[4,5,7],[6]]=>6
[4,5,7,1,6,3,2]=>[[1,2,3],[4,5],[6],[7]]=>7
[4,5,7,2,1,3,6]=>[[1,2,3],[4,6,7],[5]]=>7
[4,5,7,2,1,6,3]=>[[1,2,3],[4,6],[5,7]]=>8
[4,5,7,2,3,1,6]=>[[1,2,3],[4,5,7],[6]]=>6
[4,5,7,2,3,6,1]=>[[1,2,3],[4,5,6],[7]]=>5
[4,5,7,2,6,1,3]=>[[1,2,3],[4,5],[6,7]]=>6
[4,5,7,2,6,3,1]=>[[1,2,3],[4,5],[6],[7]]=>7
[4,5,7,3,1,2,6]=>[[1,2,3],[4,6,7],[5]]=>7
[4,5,7,3,1,6,2]=>[[1,2,3],[4,6],[5,7]]=>8
[4,5,7,3,2,1,6]=>[[1,2,3],[4,7],[5],[6]]=>8
[4,5,7,3,2,6,1]=>[[1,2,3],[4,6],[5],[7]]=>9
[4,5,7,3,6,1,2]=>[[1,2,3],[4,5],[6,7]]=>6
[4,5,7,3,6,2,1]=>[[1,2,3],[4,5],[6],[7]]=>7
[4,5,7,6,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>7
[4,5,7,6,1,3,2]=>[[1,2,3],[4,6],[5],[7]]=>9
[4,5,7,6,2,1,3]=>[[1,2,3],[4,7],[5],[6]]=>8
[4,5,7,6,2,3,1]=>[[1,2,3],[4,6],[5],[7]]=>9
[4,5,7,6,3,1,2]=>[[1,2,3],[4,7],[5],[6]]=>8
[4,5,7,6,3,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>10
[4,6,1,2,3,5,7]=>[[1,2,5,6,7],[3,4]]=>5
[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]]=>8
[4,6,1,2,5,7,3]=>[[1,2,5,6],[3,4],[7]]=>7
[4,6,1,2,7,3,5]=>[[1,2,5,7],[3,4,6]]=>7
[4,6,1,2,7,5,3]=>[[1,2,5],[3,4,6],[7]]=>8
[4,6,1,3,2,5,7]=>[[1,2,6,7],[3,4],[5]]=>6
[4,6,1,3,2,7,5]=>[[1,2,6],[3,4,7],[5]]=>7
[4,6,1,3,5,2,7]=>[[1,2,5,7],[3,4],[6]]=>8
[4,6,1,3,5,7,2]=>[[1,2,5,6],[3,4],[7]]=>7
[4,6,1,3,7,2,5]=>[[1,2,5],[3,4,7],[6]]=>9
[4,6,1,3,7,5,2]=>[[1,2,5],[3,4,6],[7]]=>8
[4,6,1,5,2,3,7]=>[[1,2,6,7],[3,4],[5]]=>6
[4,6,1,5,2,7,3]=>[[1,2,6],[3,4,7],[5]]=>7
[4,6,1,5,3,2,7]=>[[1,2,7],[3,4],[5],[6]]=>8
[4,6,1,5,3,7,2]=>[[1,2,6],[3,4],[5],[7]]=>9
[4,6,1,5,7,2,3]=>[[1,2,5],[3,4,7],[6]]=>9
[4,6,1,5,7,3,2]=>[[1,2,5],[3,4],[6],[7]]=>10
[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]]=>9
[4,6,1,7,3,2,5]=>[[1,2,4],[3,5,7],[6]]=>10
[4,6,1,7,3,5,2]=>[[1,2,4],[3,5,6],[7]]=>9
[4,6,1,7,5,2,3]=>[[1,2,4],[3,5,7],[6]]=>10
[4,6,1,7,5,3,2]=>[[1,2,4],[3,5],[6],[7]]=>11
[4,6,2,1,3,5,7]=>[[1,2,6,7],[3,5],[4]]=>9
[4,6,2,1,3,7,5]=>[[1,2,6],[3,5,7],[4]]=>10
[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]]=>8
[4,6,2,1,7,5,3]=>[[1,2,5],[3,6],[4,7]]=>9
[4,6,2,3,1,5,7]=>[[1,2,6,7],[3,4],[5]]=>6
[4,6,2,3,1,7,5]=>[[1,2,6],[3,4,7],[5]]=>7
[4,6,2,3,5,1,7]=>[[1,2,5,7],[3,4],[6]]=>8
[4,6,2,3,5,7,1]=>[[1,2,5,6],[3,4],[7]]=>7
[4,6,2,3,7,1,5]=>[[1,2,5],[3,4,7],[6]]=>9
[4,6,2,3,7,5,1]=>[[1,2,5],[3,4,6],[7]]=>8
[4,6,2,5,1,3,7]=>[[1,2,7],[3,4],[5,6]]=>7
[4,6,2,5,1,7,3]=>[[1,2,6],[3,4],[5,7]]=>8
[4,6,2,5,3,1,7]=>[[1,2,7],[3,4],[5],[6]]=>8
[4,6,2,5,3,7,1]=>[[1,2,6],[3,4],[5],[7]]=>9
[4,6,2,5,7,1,3]=>[[1,2,5],[3,4],[6,7]]=>9
[4,6,2,5,7,3,1]=>[[1,2,5],[3,4],[6],[7]]=>10
[4,6,2,7,1,3,5]=>[[1,2,4],[3,6,7],[5]]=>11
[4,6,2,7,1,5,3]=>[[1,2,4],[3,6],[5,7]]=>12
[4,6,2,7,3,1,5]=>[[1,2,4],[3,5,7],[6]]=>10
[4,6,2,7,3,5,1]=>[[1,2,4],[3,5,6],[7]]=>9
[4,6,2,7,5,1,3]=>[[1,2,4],[3,5],[6,7]]=>10
[4,6,2,7,5,3,1]=>[[1,2,4],[3,5],[6],[7]]=>11
[4,6,3,1,2,5,7]=>[[1,2,6,7],[3,5],[4]]=>9
[4,6,3,1,2,7,5]=>[[1,2,6],[3,5,7],[4]]=>10
[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]]=>8
[4,6,3,1,7,5,2]=>[[1,2,5],[3,6],[4,7]]=>9
[4,6,3,2,1,5,7]=>[[1,2,7],[3,6],[4],[5]]=>10
[4,6,3,2,1,7,5]=>[[1,2,6],[3,7],[4],[5]]=>9
[4,6,3,2,5,1,7]=>[[1,2,7],[3,5],[4],[6]]=>11
[4,6,3,2,5,7,1]=>[[1,2,6],[3,5],[4],[7]]=>12
[4,6,3,2,7,1,5]=>[[1,2,5],[3,7],[4],[6]]=>11
[4,6,3,2,7,5,1]=>[[1,2,5],[3,6],[4],[7]]=>10
[4,6,3,5,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>7
[4,6,3,5,1,7,2]=>[[1,2,6],[3,4],[5,7]]=>8
[4,6,3,5,2,1,7]=>[[1,2,7],[3,4],[5],[6]]=>8
[4,6,3,5,2,7,1]=>[[1,2,6],[3,4],[5],[7]]=>9
[4,6,3,5,7,1,2]=>[[1,2,5],[3,4],[6,7]]=>9
[4,6,3,5,7,2,1]=>[[1,2,5],[3,4],[6],[7]]=>10
[4,6,3,7,1,2,5]=>[[1,2,4],[3,6,7],[5]]=>11
[4,6,3,7,1,5,2]=>[[1,2,4],[3,6],[5,7]]=>12
[4,6,3,7,2,1,5]=>[[1,2,4],[3,7],[5],[6]]=>12
[4,6,3,7,2,5,1]=>[[1,2,4],[3,6],[5],[7]]=>13
[4,6,3,7,5,1,2]=>[[1,2,4],[3,5],[6,7]]=>10
[4,6,3,7,5,2,1]=>[[1,2,4],[3,5],[6],[7]]=>11
[4,6,5,1,2,3,7]=>[[1,2,6,7],[3,5],[4]]=>9
[4,6,5,1,2,7,3]=>[[1,2,6],[3,5,7],[4]]=>10
[4,6,5,1,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>11
[4,6,5,1,3,7,2]=>[[1,2,6],[3,5],[4],[7]]=>12
[4,6,5,1,7,2,3]=>[[1,2,5],[3,6,7],[4]]=>8
[4,6,5,1,7,3,2]=>[[1,2,5],[3,6],[4],[7]]=>10
[4,6,5,2,1,3,7]=>[[1,2,7],[3,6],[4],[5]]=>10
[4,6,5,2,1,7,3]=>[[1,2,6],[3,7],[4],[5]]=>9
[4,6,5,2,3,1,7]=>[[1,2,7],[3,5],[4],[6]]=>11
[4,6,5,2,3,7,1]=>[[1,2,6],[3,5],[4],[7]]=>12
[4,6,5,2,7,1,3]=>[[1,2,5],[3,7],[4],[6]]=>11
[4,6,5,2,7,3,1]=>[[1,2,5],[3,6],[4],[7]]=>10
[4,6,5,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>10
[4,6,5,3,1,7,2]=>[[1,2,6],[3,7],[4],[5]]=>9
[4,6,5,3,2,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>11
[4,6,5,3,2,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>12
[4,6,5,3,7,1,2]=>[[1,2,5],[3,7],[4],[6]]=>11
[4,6,5,3,7,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>13
[4,6,5,7,1,2,3]=>[[1,2,4],[3,6,7],[5]]=>11
[4,6,5,7,1,3,2]=>[[1,2,4],[3,6],[5],[7]]=>13
[4,6,5,7,2,1,3]=>[[1,2,4],[3,7],[5],[6]]=>12
[4,6,5,7,2,3,1]=>[[1,2,4],[3,6],[5],[7]]=>13
[4,6,5,7,3,1,2]=>[[1,2,4],[3,7],[5],[6]]=>12
[4,6,5,7,3,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>14
[4,6,7,1,2,3,5]=>[[1,2,3,7],[4,5,6]]=>4
[4,6,7,1,2,5,3]=>[[1,2,3],[4,5,6],[7]]=>5
[4,6,7,1,3,2,5]=>[[1,2,3],[4,5,7],[6]]=>6
[4,6,7,1,3,5,2]=>[[1,2,3],[4,5,6],[7]]=>5
[4,6,7,1,5,2,3]=>[[1,2,3],[4,5,7],[6]]=>6
[4,6,7,1,5,3,2]=>[[1,2,3],[4,5],[6],[7]]=>7
[4,6,7,2,1,3,5]=>[[1,2,3],[4,6,7],[5]]=>7
[4,6,7,2,1,5,3]=>[[1,2,3],[4,6],[5,7]]=>8
[4,6,7,2,3,1,5]=>[[1,2,3],[4,5,7],[6]]=>6
[4,6,7,2,3,5,1]=>[[1,2,3],[4,5,6],[7]]=>5
[4,6,7,2,5,1,3]=>[[1,2,3],[4,5],[6,7]]=>6
[4,6,7,2,5,3,1]=>[[1,2,3],[4,5],[6],[7]]=>7
[4,6,7,3,1,2,5]=>[[1,2,3],[4,6,7],[5]]=>7
[4,6,7,3,1,5,2]=>[[1,2,3],[4,6],[5,7]]=>8
[4,6,7,3,2,1,5]=>[[1,2,3],[4,7],[5],[6]]=>8
[4,6,7,3,2,5,1]=>[[1,2,3],[4,6],[5],[7]]=>9
[4,6,7,3,5,1,2]=>[[1,2,3],[4,5],[6,7]]=>6
[4,6,7,3,5,2,1]=>[[1,2,3],[4,5],[6],[7]]=>7
[4,6,7,5,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>7
[4,6,7,5,1,3,2]=>[[1,2,3],[4,6],[5],[7]]=>9
[4,6,7,5,2,1,3]=>[[1,2,3],[4,7],[5],[6]]=>8
[4,6,7,5,2,3,1]=>[[1,2,3],[4,6],[5],[7]]=>9
[4,6,7,5,3,1,2]=>[[1,2,3],[4,7],[5],[6]]=>8
[4,6,7,5,3,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>10
[4,7,1,2,3,5,6]=>[[1,2,5,6,7],[3,4]]=>5
[4,7,1,2,3,6,5]=>[[1,2,5,6],[3,4],[7]]=>7
[4,7,1,2,5,3,6]=>[[1,2,5,7],[3,4],[6]]=>8
[4,7,1,2,5,6,3]=>[[1,2,5,6],[3,4],[7]]=>7
[4,7,1,2,6,3,5]=>[[1,2,5,7],[3,4],[6]]=>8
[4,7,1,2,6,5,3]=>[[1,2,5],[3,4],[6],[7]]=>10
[4,7,1,3,2,5,6]=>[[1,2,6,7],[3,4],[5]]=>6
[4,7,1,3,2,6,5]=>[[1,2,6],[3,4],[5,7]]=>8
[4,7,1,3,5,2,6]=>[[1,2,5,7],[3,4],[6]]=>8
[4,7,1,3,5,6,2]=>[[1,2,5,6],[3,4],[7]]=>7
[4,7,1,3,6,2,5]=>[[1,2,5],[3,4],[6,7]]=>9
[4,7,1,3,6,5,2]=>[[1,2,5],[3,4],[6],[7]]=>10
[4,7,1,5,2,3,6]=>[[1,2,6,7],[3,4],[5]]=>6
[4,7,1,5,2,6,3]=>[[1,2,6],[3,4,7],[5]]=>7
[4,7,1,5,3,2,6]=>[[1,2,7],[3,4],[5],[6]]=>8
[4,7,1,5,3,6,2]=>[[1,2,6],[3,4],[5],[7]]=>9
[4,7,1,5,6,2,3]=>[[1,2,5],[3,4,7],[6]]=>9
[4,7,1,5,6,3,2]=>[[1,2,5],[3,4],[6],[7]]=>10
[4,7,1,6,2,3,5]=>[[1,2,6,7],[3,4],[5]]=>6
[4,7,1,6,2,5,3]=>[[1,2,6],[3,4],[5],[7]]=>9
[4,7,1,6,3,2,5]=>[[1,2,7],[3,4],[5],[6]]=>8
[4,7,1,6,3,5,2]=>[[1,2,6],[3,4],[5],[7]]=>9
[4,7,1,6,5,2,3]=>[[1,2,7],[3,4],[5],[6]]=>8
[4,7,1,6,5,3,2]=>[[1,2],[3,4],[5],[6],[7]]=>11
[4,7,2,1,3,5,6]=>[[1,2,6,7],[3,5],[4]]=>9
[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]]=>12
[4,7,2,3,1,5,6]=>[[1,2,6,7],[3,4],[5]]=>6
[4,7,2,3,1,6,5]=>[[1,2,6],[3,4],[5,7]]=>8
[4,7,2,3,5,1,6]=>[[1,2,5,7],[3,4],[6]]=>8
[4,7,2,3,5,6,1]=>[[1,2,5,6],[3,4],[7]]=>7
[4,7,2,3,6,1,5]=>[[1,2,5],[3,4],[6,7]]=>9
[4,7,2,3,6,5,1]=>[[1,2,5],[3,4],[6],[7]]=>10
[4,7,2,5,1,3,6]=>[[1,2,7],[3,4],[5,6]]=>7
[4,7,2,5,1,6,3]=>[[1,2,6],[3,4],[5,7]]=>8
[4,7,2,5,3,1,6]=>[[1,2,7],[3,4],[5],[6]]=>8
[4,7,2,5,3,6,1]=>[[1,2,6],[3,4],[5],[7]]=>9
[4,7,2,5,6,1,3]=>[[1,2,5],[3,4],[6,7]]=>9
[4,7,2,5,6,3,1]=>[[1,2,5],[3,4],[6],[7]]=>10
[4,7,2,6,1,3,5]=>[[1,2,7],[3,4],[5,6]]=>7
[4,7,2,6,1,5,3]=>[[1,2],[3,4],[5,6],[7]]=>9
[4,7,2,6,3,1,5]=>[[1,2,7],[3,4],[5],[6]]=>8
[4,7,2,6,3,5,1]=>[[1,2,6],[3,4],[5],[7]]=>9
[4,7,2,6,5,1,3]=>[[1,2],[3,4],[5,7],[6]]=>10
[4,7,2,6,5,3,1]=>[[1,2],[3,4],[5],[6],[7]]=>11
[4,7,3,1,2,5,6]=>[[1,2,6,7],[3,5],[4]]=>9
[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]]=>12
[4,7,3,2,1,5,6]=>[[1,2,7],[3,6],[4],[5]]=>10
[4,7,3,2,1,6,5]=>[[1,2],[3,6],[4,7],[5]]=>11
[4,7,3,2,5,1,6]=>[[1,2,7],[3,5],[4],[6]]=>11
[4,7,3,2,5,6,1]=>[[1,2,6],[3,5],[4],[7]]=>12
[4,7,3,2,6,1,5]=>[[1,2],[3,5],[4,7],[6]]=>13
[4,7,3,2,6,5,1]=>[[1,2],[3,5],[4,6],[7]]=>12
[4,7,3,5,1,2,6]=>[[1,2,7],[3,4],[5,6]]=>7
[4,7,3,5,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>8
[4,7,3,5,2,1,6]=>[[1,2,7],[3,4],[5],[6]]=>8
[4,7,3,5,2,6,1]=>[[1,2,6],[3,4],[5],[7]]=>9
[4,7,3,5,6,1,2]=>[[1,2,5],[3,4],[6,7]]=>9
[4,7,3,5,6,2,1]=>[[1,2,5],[3,4],[6],[7]]=>10
[4,7,3,6,1,2,5]=>[[1,2,7],[3,4],[5,6]]=>7
[4,7,3,6,1,5,2]=>[[1,2],[3,4],[5,6],[7]]=>9
[4,7,3,6,2,1,5]=>[[1,2],[3,4],[5,7],[6]]=>10
[4,7,3,6,2,5,1]=>[[1,2],[3,4],[5,6],[7]]=>9
[4,7,3,6,5,1,2]=>[[1,2],[3,4],[5,7],[6]]=>10
[4,7,3,6,5,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>11
[4,7,5,1,2,3,6]=>[[1,2,6,7],[3,5],[4]]=>9
[4,7,5,1,2,6,3]=>[[1,2,6],[3,5,7],[4]]=>10
[4,7,5,1,3,2,6]=>[[1,2,7],[3,5],[4],[6]]=>11
[4,7,5,1,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>12
[4,7,5,1,6,2,3]=>[[1,2,5],[3,6,7],[4]]=>8
[4,7,5,1,6,3,2]=>[[1,2,5],[3,6],[4],[7]]=>10
[4,7,5,2,1,3,6]=>[[1,2,7],[3,6],[4],[5]]=>10
[4,7,5,2,1,6,3]=>[[1,2,6],[3,7],[4],[5]]=>9
[4,7,5,2,3,1,6]=>[[1,2,7],[3,5],[4],[6]]=>11
[4,7,5,2,3,6,1]=>[[1,2,6],[3,5],[4],[7]]=>12
[4,7,5,2,6,1,3]=>[[1,2,5],[3,7],[4],[6]]=>11
[4,7,5,2,6,3,1]=>[[1,2,5],[3,6],[4],[7]]=>10
[4,7,5,3,1,2,6]=>[[1,2,7],[3,6],[4],[5]]=>10
[4,7,5,3,1,6,2]=>[[1,2,6],[3,7],[4],[5]]=>9
[4,7,5,3,2,1,6]=>[[1,2,7],[3],[4],[5],[6]]=>11
[4,7,5,3,2,6,1]=>[[1,2,6],[3],[4],[5],[7]]=>12
[4,7,5,3,6,1,2]=>[[1,2,5],[3,7],[4],[6]]=>11
[4,7,5,3,6,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>13
[4,7,5,6,1,2,3]=>[[1,2,4],[3,6,7],[5]]=>11
[4,7,5,6,1,3,2]=>[[1,2,4],[3,6],[5],[7]]=>13
[4,7,5,6,2,1,3]=>[[1,2,4],[3,7],[5],[6]]=>12
[4,7,5,6,2,3,1]=>[[1,2,4],[3,6],[5],[7]]=>13
[4,7,5,6,3,1,2]=>[[1,2,4],[3,7],[5],[6]]=>12
[4,7,5,6,3,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>14
[4,7,6,1,2,3,5]=>[[1,2,6,7],[3,5],[4]]=>9
[4,7,6,1,2,5,3]=>[[1,2,6],[3,5],[4],[7]]=>12
[4,7,6,1,3,2,5]=>[[1,2,7],[3,5],[4],[6]]=>11
[4,7,6,1,3,5,2]=>[[1,2,6],[3,5],[4],[7]]=>12
[4,7,6,1,5,2,3]=>[[1,2,7],[3,5],[4],[6]]=>11
[4,7,6,1,5,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>14
[4,7,6,2,1,3,5]=>[[1,2,7],[3,6],[4],[5]]=>10
[4,7,6,2,1,5,3]=>[[1,2],[3,6],[4,7],[5]]=>11
[4,7,6,2,3,1,5]=>[[1,2,7],[3,5],[4],[6]]=>11
[4,7,6,2,3,5,1]=>[[1,2,6],[3,5],[4],[7]]=>12
[4,7,6,2,5,1,3]=>[[1,2],[3,5],[4,7],[6]]=>13
[4,7,6,2,5,3,1]=>[[1,2],[3,5],[4],[6],[7]]=>14
[4,7,6,3,1,2,5]=>[[1,2,7],[3,6],[4],[5]]=>10
[4,7,6,3,1,5,2]=>[[1,2],[3,6],[4,7],[5]]=>11
[4,7,6,3,2,1,5]=>[[1,2],[3,7],[4],[5],[6]]=>12
[4,7,6,3,2,5,1]=>[[1,2],[3,6],[4],[5],[7]]=>13
[4,7,6,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>13
[4,7,6,3,5,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>14
[4,7,6,5,1,2,3]=>[[1,2,7],[3,6],[4],[5]]=>10
[4,7,6,5,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>13
[4,7,6,5,2,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>12
[4,7,6,5,2,3,1]=>[[1,2],[3,6],[4],[5],[7]]=>13
[4,7,6,5,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>12
[4,7,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>15
[5,1,2,3,4,6,7]=>[[1,3,4,5,6,7],[2]]=>6
[5,1,2,3,4,7,6]=>[[1,3,4,5,6],[2,7]]=>7
[5,1,2,3,6,4,7]=>[[1,3,4,5,7],[2,6]]=>8
[5,1,2,3,6,7,4]=>[[1,3,4,5,6],[2,7]]=>7
[5,1,2,3,7,4,6]=>[[1,3,4,5,7],[2,6]]=>8
[5,1,2,3,7,6,4]=>[[1,3,4,5],[2,6],[7]]=>9
[5,1,2,4,3,6,7]=>[[1,3,4,6,7],[2],[5]]=>10
[5,1,2,4,3,7,6]=>[[1,3,4,6],[2,7],[5]]=>11
[5,1,2,4,6,3,7]=>[[1,3,4,5,7],[2],[6]]=>9
[5,1,2,4,6,7,3]=>[[1,3,4,5,6],[2],[7]]=>8
[5,1,2,4,7,3,6]=>[[1,3,4,5],[2,7],[6]]=>10
[5,1,2,4,7,6,3]=>[[1,3,4,5],[2,6],[7]]=>9
[5,1,2,6,3,4,7]=>[[1,3,4,6,7],[2,5]]=>9
[5,1,2,6,3,7,4]=>[[1,3,4,6],[2,5,7]]=>10
[5,1,2,6,4,3,7]=>[[1,3,4,7],[2,5],[6]]=>10
[5,1,2,6,4,7,3]=>[[1,3,4,6],[2,5],[7]]=>11
[5,1,2,6,7,3,4]=>[[1,3,4,5],[2,6,7]]=>8
[5,1,2,6,7,4,3]=>[[1,3,4,5],[2,6],[7]]=>9
[5,1,2,7,3,4,6]=>[[1,3,4,6,7],[2,5]]=>9
[5,1,2,7,3,6,4]=>[[1,3,4,6],[2,5],[7]]=>11
[5,1,2,7,4,3,6]=>[[1,3,4,7],[2,5],[6]]=>10
[5,1,2,7,4,6,3]=>[[1,3,4,6],[2,5],[7]]=>11
[5,1,2,7,6,3,4]=>[[1,3,4,7],[2,5],[6]]=>10
[5,1,2,7,6,4,3]=>[[1,3,4],[2,5],[6],[7]]=>12
[5,1,3,2,4,6,7]=>[[1,3,5,6,7],[2],[4]]=>11
[5,1,3,2,4,7,6]=>[[1,3,5,6],[2,7],[4]]=>12
[5,1,3,2,6,4,7]=>[[1,3,5,7],[2,6],[4]]=>13
[5,1,3,2,6,7,4]=>[[1,3,5,6],[2,7],[4]]=>12
[5,1,3,2,7,4,6]=>[[1,3,5,7],[2,6],[4]]=>13
[5,1,3,2,7,6,4]=>[[1,3,5],[2,6],[4,7]]=>14
[5,1,3,4,2,6,7]=>[[1,3,4,6,7],[2],[5]]=>10
[5,1,3,4,2,7,6]=>[[1,3,4,6],[2,7],[5]]=>11
[5,1,3,4,6,2,7]=>[[1,3,4,5,7],[2],[6]]=>9
[5,1,3,4,6,7,2]=>[[1,3,4,5,6],[2],[7]]=>8
[5,1,3,4,7,2,6]=>[[1,3,4,5],[2,7],[6]]=>10
[5,1,3,4,7,6,2]=>[[1,3,4,5],[2,6],[7]]=>9
[5,1,3,6,2,4,7]=>[[1,3,4,7],[2,6],[5]]=>12
[5,1,3,6,2,7,4]=>[[1,3,4,6],[2,7],[5]]=>11
[5,1,3,6,4,2,7]=>[[1,3,4,7],[2,5],[6]]=>10
[5,1,3,6,4,7,2]=>[[1,3,4,6],[2,5],[7]]=>11
[5,1,3,6,7,2,4]=>[[1,3,4,5],[2,7],[6]]=>10
[5,1,3,6,7,4,2]=>[[1,3,4,5],[2,6],[7]]=>9
[5,1,3,7,2,4,6]=>[[1,3,4,7],[2,6],[5]]=>12
[5,1,3,7,2,6,4]=>[[1,3,4],[2,6],[5,7]]=>13
[5,1,3,7,4,2,6]=>[[1,3,4,7],[2,5],[6]]=>10
[5,1,3,7,4,6,2]=>[[1,3,4,6],[2,5],[7]]=>11
[5,1,3,7,6,2,4]=>[[1,3,4],[2,5],[6,7]]=>11
[5,1,3,7,6,4,2]=>[[1,3,4],[2,5],[6],[7]]=>12
[5,1,4,2,3,6,7]=>[[1,3,5,6,7],[2],[4]]=>11
[5,1,4,2,3,7,6]=>[[1,3,5,6],[2,7],[4]]=>12
[5,1,4,2,6,3,7]=>[[1,3,5,7],[2,6],[4]]=>13
[5,1,4,2,6,7,3]=>[[1,3,5,6],[2,7],[4]]=>12
[5,1,4,2,7,3,6]=>[[1,3,5,7],[2,6],[4]]=>13
[5,1,4,2,7,6,3]=>[[1,3,5],[2,6],[4,7]]=>14
[5,1,4,3,2,6,7]=>[[1,3,6,7],[2],[4],[5]]=>13
[5,1,4,3,2,7,6]=>[[1,3,6],[2,7],[4],[5]]=>14
[5,1,4,3,6,2,7]=>[[1,3,5,7],[2],[4],[6]]=>15
[5,1,4,3,6,7,2]=>[[1,3,5,6],[2],[4],[7]]=>14
[5,1,4,3,7,2,6]=>[[1,3,5],[2,7],[4],[6]]=>16
[5,1,4,3,7,6,2]=>[[1,3,5],[2,6],[4],[7]]=>15
[5,1,4,6,2,3,7]=>[[1,3,4,7],[2,6],[5]]=>12
[5,1,4,6,2,7,3]=>[[1,3,4,6],[2,7],[5]]=>11
[5,1,4,6,3,2,7]=>[[1,3,4,7],[2],[5],[6]]=>12
[5,1,4,6,3,7,2]=>[[1,3,4,6],[2],[5],[7]]=>13
[5,1,4,6,7,2,3]=>[[1,3,4,5],[2,7],[6]]=>10
[5,1,4,6,7,3,2]=>[[1,3,4,5],[2],[6],[7]]=>11
[5,1,4,7,2,3,6]=>[[1,3,4,7],[2,6],[5]]=>12
[5,1,4,7,2,6,3]=>[[1,3,4],[2,6],[5,7]]=>13
[5,1,4,7,3,2,6]=>[[1,3,4],[2,7],[5],[6]]=>13
[5,1,4,7,3,6,2]=>[[1,3,4],[2,6],[5],[7]]=>14
[5,1,4,7,6,2,3]=>[[1,3,4],[2,5],[6,7]]=>11
[5,1,4,7,6,3,2]=>[[1,3,4],[2,5],[6],[7]]=>12
[5,1,6,2,3,4,7]=>[[1,3,5,6,7],[2,4]]=>10
[5,1,6,2,3,7,4]=>[[1,3,5,6],[2,4,7]]=>11
[5,1,6,2,4,3,7]=>[[1,3,5,7],[2,4],[6]]=>13
[5,1,6,2,4,7,3]=>[[1,3,5,6],[2,4],[7]]=>12
[5,1,6,2,7,3,4]=>[[1,3,5,7],[2,4,6]]=>12
[5,1,6,2,7,4,3]=>[[1,3,5],[2,4,6],[7]]=>13
[5,1,6,3,2,4,7]=>[[1,3,6,7],[2,4],[5]]=>11
[5,1,6,3,2,7,4]=>[[1,3,6],[2,4,7],[5]]=>12
[5,1,6,3,4,2,7]=>[[1,3,5,7],[2,4],[6]]=>13
[5,1,6,3,4,7,2]=>[[1,3,5,6],[2,4],[7]]=>12
[5,1,6,3,7,2,4]=>[[1,3,5],[2,4,7],[6]]=>14
[5,1,6,3,7,4,2]=>[[1,3,5],[2,4,6],[7]]=>13
[5,1,6,4,2,3,7]=>[[1,3,6,7],[2,4],[5]]=>11
[5,1,6,4,2,7,3]=>[[1,3,6],[2,4,7],[5]]=>12
[5,1,6,4,3,2,7]=>[[1,3,7],[2,4],[5],[6]]=>13
[5,1,6,4,3,7,2]=>[[1,3,6],[2,4],[5],[7]]=>14
[5,1,6,4,7,2,3]=>[[1,3,5],[2,4,7],[6]]=>14
[5,1,6,4,7,3,2]=>[[1,3,5],[2,4],[6],[7]]=>15
[5,1,6,7,2,3,4]=>[[1,3,4,7],[2,5,6]]=>9
[5,1,6,7,2,4,3]=>[[1,3,4],[2,5,6],[7]]=>10
[5,1,6,7,3,2,4]=>[[1,3,4],[2,5,7],[6]]=>11
[5,1,6,7,3,4,2]=>[[1,3,4],[2,5,6],[7]]=>10
[5,1,6,7,4,2,3]=>[[1,3,4],[2,5,7],[6]]=>11
[5,1,6,7,4,3,2]=>[[1,3,4],[2,5],[6],[7]]=>12
[5,1,7,2,3,4,6]=>[[1,3,5,6,7],[2,4]]=>10
[5,1,7,2,3,6,4]=>[[1,3,5,6],[2,4],[7]]=>12
[5,1,7,2,4,3,6]=>[[1,3,5,7],[2,4],[6]]=>13
[5,1,7,2,4,6,3]=>[[1,3,5,6],[2,4],[7]]=>12
[5,1,7,2,6,3,4]=>[[1,3,5,7],[2,4],[6]]=>13
[5,1,7,2,6,4,3]=>[[1,3,5],[2,4],[6],[7]]=>15
[5,1,7,3,2,4,6]=>[[1,3,6,7],[2,4],[5]]=>11
[5,1,7,3,2,6,4]=>[[1,3,6],[2,4],[5,7]]=>13
[5,1,7,3,4,2,6]=>[[1,3,5,7],[2,4],[6]]=>13
[5,1,7,3,4,6,2]=>[[1,3,5,6],[2,4],[7]]=>12
[5,1,7,3,6,2,4]=>[[1,3,5],[2,4],[6,7]]=>14
[5,1,7,3,6,4,2]=>[[1,3,5],[2,4],[6],[7]]=>15
[5,1,7,4,2,3,6]=>[[1,3,6,7],[2,4],[5]]=>11
[5,1,7,4,2,6,3]=>[[1,3,6],[2,4],[5,7]]=>13
[5,1,7,4,3,2,6]=>[[1,3,7],[2,4],[5],[6]]=>13
[5,1,7,4,3,6,2]=>[[1,3,6],[2,4],[5],[7]]=>14
[5,1,7,4,6,2,3]=>[[1,3,5],[2,4],[6,7]]=>14
[5,1,7,4,6,3,2]=>[[1,3,5],[2,4],[6],[7]]=>15
[5,1,7,6,2,3,4]=>[[1,3,6,7],[2,4],[5]]=>11
[5,1,7,6,2,4,3]=>[[1,3,6],[2,4],[5],[7]]=>14
[5,1,7,6,3,2,4]=>[[1,3,7],[2,4],[5],[6]]=>13
[5,1,7,6,3,4,2]=>[[1,3,6],[2,4],[5],[7]]=>14
[5,1,7,6,4,2,3]=>[[1,3,7],[2,4],[5],[6]]=>13
[5,1,7,6,4,3,2]=>[[1,3],[2,4],[5],[6],[7]]=>16
[5,2,1,3,4,6,7]=>[[1,4,5,6,7],[2],[3]]=>7
[5,2,1,3,4,7,6]=>[[1,4,5,6],[2,7],[3]]=>8
[5,2,1,3,6,4,7]=>[[1,4,5,7],[2,6],[3]]=>9
[5,2,1,3,6,7,4]=>[[1,4,5,6],[2,7],[3]]=>8
[5,2,1,3,7,4,6]=>[[1,4,5,7],[2,6],[3]]=>9
[5,2,1,3,7,6,4]=>[[1,4,5],[2,6],[3,7]]=>10
[5,2,1,4,3,6,7]=>[[1,4,6,7],[2,5],[3]]=>10
[5,2,1,4,3,7,6]=>[[1,4,6],[2,5,7],[3]]=>11
[5,2,1,4,6,3,7]=>[[1,4,5,7],[2,6],[3]]=>9
[5,2,1,4,6,7,3]=>[[1,4,5,6],[2,7],[3]]=>8
[5,2,1,4,7,3,6]=>[[1,4,5],[2,6,7],[3]]=>9
[5,2,1,4,7,6,3]=>[[1,4,5],[2,6],[3,7]]=>10
[5,2,1,6,3,4,7]=>[[1,4,6,7],[2,5],[3]]=>10
[5,2,1,6,3,7,4]=>[[1,4,6],[2,5,7],[3]]=>11
[5,2,1,6,4,3,7]=>[[1,4,7],[2,5],[3,6]]=>11
[5,2,1,6,4,7,3]=>[[1,4,6],[2,5],[3,7]]=>12
[5,2,1,6,7,3,4]=>[[1,4,5],[2,6,7],[3]]=>9
[5,2,1,6,7,4,3]=>[[1,4,5],[2,6],[3,7]]=>10
[5,2,1,7,3,4,6]=>[[1,4,6,7],[2,5],[3]]=>10
[5,2,1,7,3,6,4]=>[[1,4,6],[2,5],[3,7]]=>12
[5,2,1,7,4,3,6]=>[[1,4,7],[2,5],[3,6]]=>11
[5,2,1,7,4,6,3]=>[[1,4,6],[2,5],[3,7]]=>12
[5,2,1,7,6,3,4]=>[[1,4,7],[2,5],[3,6]]=>11
[5,2,1,7,6,4,3]=>[[1,4],[2,5],[3,6],[7]]=>13
[5,2,3,1,4,6,7]=>[[1,3,5,6,7],[2],[4]]=>11
[5,2,3,1,4,7,6]=>[[1,3,5,6],[2,7],[4]]=>12
[5,2,3,1,6,4,7]=>[[1,3,5,7],[2,6],[4]]=>13
[5,2,3,1,6,7,4]=>[[1,3,5,6],[2,7],[4]]=>12
[5,2,3,1,7,4,6]=>[[1,3,5,7],[2,6],[4]]=>13
[5,2,3,1,7,6,4]=>[[1,3,5],[2,6],[4,7]]=>14
[5,2,3,4,1,6,7]=>[[1,3,4,6,7],[2],[5]]=>10
[5,2,3,4,1,7,6]=>[[1,3,4,6],[2,7],[5]]=>11
[5,2,3,4,6,1,7]=>[[1,3,4,5,7],[2],[6]]=>9
[5,2,3,4,6,7,1]=>[[1,3,4,5,6],[2],[7]]=>8
[5,2,3,4,7,1,6]=>[[1,3,4,5],[2,7],[6]]=>10
[5,2,3,4,7,6,1]=>[[1,3,4,5],[2,6],[7]]=>9
[5,2,3,6,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>12
[5,2,3,6,1,7,4]=>[[1,3,4,6],[2,7],[5]]=>11
[5,2,3,6,4,1,7]=>[[1,3,4,7],[2,5],[6]]=>10
[5,2,3,6,4,7,1]=>[[1,3,4,6],[2,5],[7]]=>11
[5,2,3,6,7,1,4]=>[[1,3,4,5],[2,7],[6]]=>10
[5,2,3,6,7,4,1]=>[[1,3,4,5],[2,6],[7]]=>9
[5,2,3,7,1,4,6]=>[[1,3,4,7],[2,6],[5]]=>12
[5,2,3,7,1,6,4]=>[[1,3,4],[2,6],[5,7]]=>13
[5,2,3,7,4,1,6]=>[[1,3,4,7],[2,5],[6]]=>10
[5,2,3,7,4,6,1]=>[[1,3,4,6],[2,5],[7]]=>11
[5,2,3,7,6,1,4]=>[[1,3,4],[2,5],[6,7]]=>11
[5,2,3,7,6,4,1]=>[[1,3,4],[2,5],[6],[7]]=>12
[5,2,4,1,3,6,7]=>[[1,3,6,7],[2,5],[4]]=>14
[5,2,4,1,3,7,6]=>[[1,3,6],[2,5,7],[4]]=>15
[5,2,4,1,6,3,7]=>[[1,3,5,7],[2,6],[4]]=>13
[5,2,4,1,6,7,3]=>[[1,3,5,6],[2,7],[4]]=>12
[5,2,4,1,7,3,6]=>[[1,3,5],[2,6,7],[4]]=>13
[5,2,4,1,7,6,3]=>[[1,3,5],[2,6],[4,7]]=>14
[5,2,4,3,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>13
[5,2,4,3,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>14
[5,2,4,3,6,1,7]=>[[1,3,5,7],[2],[4],[6]]=>15
[5,2,4,3,6,7,1]=>[[1,3,5,6],[2],[4],[7]]=>14
[5,2,4,3,7,1,6]=>[[1,3,5],[2,7],[4],[6]]=>16
[5,2,4,3,7,6,1]=>[[1,3,5],[2,6],[4],[7]]=>15
[5,2,4,6,1,3,7]=>[[1,3,4,7],[2,6],[5]]=>12
[5,2,4,6,1,7,3]=>[[1,3,4,6],[2,7],[5]]=>11
[5,2,4,6,3,1,7]=>[[1,3,4,7],[2],[5],[6]]=>12
[5,2,4,6,3,7,1]=>[[1,3,4,6],[2],[5],[7]]=>13
[5,2,4,6,7,1,3]=>[[1,3,4,5],[2,7],[6]]=>10
[5,2,4,6,7,3,1]=>[[1,3,4,5],[2],[6],[7]]=>11
[5,2,4,7,1,3,6]=>[[1,3,4],[2,6,7],[5]]=>12
[5,2,4,7,1,6,3]=>[[1,3,4],[2,6],[5,7]]=>13
[5,2,4,7,3,1,6]=>[[1,3,4],[2,7],[5],[6]]=>13
[5,2,4,7,3,6,1]=>[[1,3,4],[2,6],[5],[7]]=>14
[5,2,4,7,6,1,3]=>[[1,3,4],[2,5],[6,7]]=>11
[5,2,4,7,6,3,1]=>[[1,3,4],[2,5],[6],[7]]=>12
[5,2,6,1,3,4,7]=>[[1,3,6,7],[2,5],[4]]=>14
[5,2,6,1,3,7,4]=>[[1,3,6],[2,5,7],[4]]=>15
[5,2,6,1,4,3,7]=>[[1,3,7],[2,5],[4,6]]=>15
[5,2,6,1,4,7,3]=>[[1,3,6],[2,5],[4,7]]=>16
[5,2,6,1,7,3,4]=>[[1,3,5],[2,6,7],[4]]=>13
[5,2,6,1,7,4,3]=>[[1,3,5],[2,6],[4,7]]=>14
[5,2,6,3,1,4,7]=>[[1,3,6,7],[2,4],[5]]=>11
[5,2,6,3,1,7,4]=>[[1,3,6],[2,4,7],[5]]=>12
[5,2,6,3,4,1,7]=>[[1,3,5,7],[2,4],[6]]=>13
[5,2,6,3,4,7,1]=>[[1,3,5,6],[2,4],[7]]=>12
[5,2,6,3,7,1,4]=>[[1,3,5],[2,4,7],[6]]=>14
[5,2,6,3,7,4,1]=>[[1,3,5],[2,4,6],[7]]=>13
[5,2,6,4,1,3,7]=>[[1,3,7],[2,4],[5,6]]=>12
[5,2,6,4,1,7,3]=>[[1,3,6],[2,4],[5,7]]=>13
[5,2,6,4,3,1,7]=>[[1,3,7],[2,4],[5],[6]]=>13
[5,2,6,4,3,7,1]=>[[1,3,6],[2,4],[5],[7]]=>14
[5,2,6,4,7,1,3]=>[[1,3,5],[2,4],[6,7]]=>14
[5,2,6,4,7,3,1]=>[[1,3,5],[2,4],[6],[7]]=>15
[5,2,6,7,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>12
[5,2,6,7,1,4,3]=>[[1,3,4],[2,6],[5,7]]=>13
[5,2,6,7,3,1,4]=>[[1,3,4],[2,5,7],[6]]=>11
[5,2,6,7,3,4,1]=>[[1,3,4],[2,5,6],[7]]=>10
[5,2,6,7,4,1,3]=>[[1,3,4],[2,5],[6,7]]=>11
[5,2,6,7,4,3,1]=>[[1,3,4],[2,5],[6],[7]]=>12
[5,2,7,1,3,4,6]=>[[1,3,6,7],[2,5],[4]]=>14
[5,2,7,1,3,6,4]=>[[1,3,6],[2,5],[4,7]]=>16
[5,2,7,1,4,3,6]=>[[1,3,7],[2,5],[4,6]]=>15
[5,2,7,1,4,6,3]=>[[1,3,6],[2,5],[4,7]]=>16
[5,2,7,1,6,3,4]=>[[1,3,7],[2,5],[4,6]]=>15
[5,2,7,1,6,4,3]=>[[1,3],[2,5],[4,6],[7]]=>17
[5,2,7,3,1,4,6]=>[[1,3,6,7],[2,4],[5]]=>11
[5,2,7,3,1,6,4]=>[[1,3,6],[2,4],[5,7]]=>13
[5,2,7,3,4,1,6]=>[[1,3,5,7],[2,4],[6]]=>13
[5,2,7,3,4,6,1]=>[[1,3,5,6],[2,4],[7]]=>12
[5,2,7,3,6,1,4]=>[[1,3,5],[2,4],[6,7]]=>14
[5,2,7,3,6,4,1]=>[[1,3,5],[2,4],[6],[7]]=>15
[5,2,7,4,1,3,6]=>[[1,3,7],[2,4],[5,6]]=>12
[5,2,7,4,1,6,3]=>[[1,3,6],[2,4],[5,7]]=>13
[5,2,7,4,3,1,6]=>[[1,3,7],[2,4],[5],[6]]=>13
[5,2,7,4,3,6,1]=>[[1,3,6],[2,4],[5],[7]]=>14
[5,2,7,4,6,1,3]=>[[1,3,5],[2,4],[6,7]]=>14
[5,2,7,4,6,3,1]=>[[1,3,5],[2,4],[6],[7]]=>15
[5,2,7,6,1,3,4]=>[[1,3,7],[2,4],[5,6]]=>12
[5,2,7,6,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>14
[5,2,7,6,3,1,4]=>[[1,3,7],[2,4],[5],[6]]=>13
[5,2,7,6,3,4,1]=>[[1,3,6],[2,4],[5],[7]]=>14
[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]]=>16
[5,3,1,2,4,6,7]=>[[1,4,5,6,7],[2],[3]]=>7
[5,3,1,2,4,7,6]=>[[1,4,5,6],[2,7],[3]]=>8
[5,3,1,2,6,4,7]=>[[1,4,5,7],[2,6],[3]]=>9
[5,3,1,2,6,7,4]=>[[1,4,5,6],[2,7],[3]]=>8
[5,3,1,2,7,4,6]=>[[1,4,5,7],[2,6],[3]]=>9
[5,3,1,2,7,6,4]=>[[1,4,5],[2,6],[3,7]]=>10
[5,3,1,4,2,6,7]=>[[1,4,6,7],[2,5],[3]]=>10
[5,3,1,4,2,7,6]=>[[1,4,6],[2,5,7],[3]]=>11
[5,3,1,4,6,2,7]=>[[1,4,5,7],[2,6],[3]]=>9
[5,3,1,4,6,7,2]=>[[1,4,5,6],[2,7],[3]]=>8
[5,3,1,4,7,2,6]=>[[1,4,5],[2,6,7],[3]]=>9
[5,3,1,4,7,6,2]=>[[1,4,5],[2,6],[3,7]]=>10
[5,3,1,6,2,4,7]=>[[1,4,6,7],[2,5],[3]]=>10
[5,3,1,6,2,7,4]=>[[1,4,6],[2,5,7],[3]]=>11
[5,3,1,6,4,2,7]=>[[1,4,7],[2,5],[3,6]]=>11
[5,3,1,6,4,7,2]=>[[1,4,6],[2,5],[3,7]]=>12
[5,3,1,6,7,2,4]=>[[1,4,5],[2,6,7],[3]]=>9
[5,3,1,6,7,4,2]=>[[1,4,5],[2,6],[3,7]]=>10
[5,3,1,7,2,4,6]=>[[1,4,6,7],[2,5],[3]]=>10
[5,3,1,7,2,6,4]=>[[1,4,6],[2,5],[3,7]]=>12
[5,3,1,7,4,2,6]=>[[1,4,7],[2,5],[3,6]]=>11
[5,3,1,7,4,6,2]=>[[1,4,6],[2,5],[3,7]]=>12
[5,3,1,7,6,2,4]=>[[1,4,7],[2,5],[3,6]]=>11
[5,3,1,7,6,4,2]=>[[1,4],[2,5],[3,6],[7]]=>13
[5,3,2,1,4,6,7]=>[[1,5,6,7],[2],[3],[4]]=>9
[5,3,2,1,4,7,6]=>[[1,5,6],[2,7],[3],[4]]=>10
[5,3,2,1,6,4,7]=>[[1,5,7],[2,6],[3],[4]]=>11
[5,3,2,1,6,7,4]=>[[1,5,6],[2,7],[3],[4]]=>10
[5,3,2,1,7,4,6]=>[[1,5,7],[2,6],[3],[4]]=>11
[5,3,2,1,7,6,4]=>[[1,5],[2,6],[3,7],[4]]=>12
[5,3,2,4,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>12
[5,3,2,4,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>13
[5,3,2,4,6,1,7]=>[[1,4,5,7],[2],[3],[6]]=>11
[5,3,2,4,6,7,1]=>[[1,4,5,6],[2],[3],[7]]=>10
[5,3,2,4,7,1,6]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[5,3,2,6,1,7,4]=>[[1,4,6],[2,7],[3],[5]]=>13
[5,3,2,6,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>12
[5,3,2,6,4,7,1]=>[[1,4,6],[2,5],[3],[7]]=>13
[5,3,2,6,7,1,4]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[5,3,2,7,1,6,4]=>[[1,4],[2,6],[3,7],[5]]=>15
[5,3,2,7,4,1,6]=>[[1,4,7],[2,5],[3],[6]]=>12
[5,3,2,7,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>13
[5,3,2,7,6,1,4]=>[[1,4],[2,5],[3,7],[6]]=>14
[5,3,2,7,6,4,1]=>[[1,4],[2,5],[3,6],[7]]=>13
[5,3,4,1,2,6,7]=>[[1,3,6,7],[2,5],[4]]=>14
[5,3,4,1,2,7,6]=>[[1,3,6],[2,5,7],[4]]=>15
[5,3,4,1,6,2,7]=>[[1,3,5,7],[2,6],[4]]=>13
[5,3,4,1,6,7,2]=>[[1,3,5,6],[2,7],[4]]=>12
[5,3,4,1,7,2,6]=>[[1,3,5],[2,6,7],[4]]=>13
[5,3,4,1,7,6,2]=>[[1,3,5],[2,6],[4,7]]=>14
[5,3,4,2,1,6,7]=>[[1,3,6,7],[2],[4],[5]]=>13
[5,3,4,2,1,7,6]=>[[1,3,6],[2,7],[4],[5]]=>14
[5,3,4,2,6,1,7]=>[[1,3,5,7],[2],[4],[6]]=>15
[5,3,4,2,6,7,1]=>[[1,3,5,6],[2],[4],[7]]=>14
[5,3,4,2,7,1,6]=>[[1,3,5],[2,7],[4],[6]]=>16
[5,3,4,2,7,6,1]=>[[1,3,5],[2,6],[4],[7]]=>15
[5,3,4,6,1,2,7]=>[[1,3,4,7],[2,6],[5]]=>12
[5,3,4,6,1,7,2]=>[[1,3,4,6],[2,7],[5]]=>11
[5,3,4,6,2,1,7]=>[[1,3,4,7],[2],[5],[6]]=>12
[5,3,4,6,2,7,1]=>[[1,3,4,6],[2],[5],[7]]=>13
[5,3,4,6,7,1,2]=>[[1,3,4,5],[2,7],[6]]=>10
[5,3,4,6,7,2,1]=>[[1,3,4,5],[2],[6],[7]]=>11
[5,3,4,7,1,2,6]=>[[1,3,4],[2,6,7],[5]]=>12
[5,3,4,7,1,6,2]=>[[1,3,4],[2,6],[5,7]]=>13
[5,3,4,7,2,1,6]=>[[1,3,4],[2,7],[5],[6]]=>13
[5,3,4,7,2,6,1]=>[[1,3,4],[2,6],[5],[7]]=>14
[5,3,4,7,6,1,2]=>[[1,3,4],[2,5],[6,7]]=>11
[5,3,4,7,6,2,1]=>[[1,3,4],[2,5],[6],[7]]=>12
[5,3,6,1,2,4,7]=>[[1,3,6,7],[2,5],[4]]=>14
[5,3,6,1,2,7,4]=>[[1,3,6],[2,5,7],[4]]=>15
[5,3,6,1,4,2,7]=>[[1,3,7],[2,5],[4,6]]=>15
[5,3,6,1,4,7,2]=>[[1,3,6],[2,5],[4,7]]=>16
[5,3,6,1,7,2,4]=>[[1,3,5],[2,6,7],[4]]=>13
[5,3,6,1,7,4,2]=>[[1,3,5],[2,6],[4,7]]=>14
[5,3,6,2,1,4,7]=>[[1,3,7],[2,6],[4],[5]]=>15
[5,3,6,2,1,7,4]=>[[1,3,6],[2,7],[4],[5]]=>14
[5,3,6,2,4,1,7]=>[[1,3,7],[2,5],[4],[6]]=>16
[5,3,6,2,4,7,1]=>[[1,3,6],[2,5],[4],[7]]=>17
[5,3,6,2,7,1,4]=>[[1,3,5],[2,7],[4],[6]]=>16
[5,3,6,2,7,4,1]=>[[1,3,5],[2,6],[4],[7]]=>15
[5,3,6,4,1,2,7]=>[[1,3,7],[2,4],[5,6]]=>12
[5,3,6,4,1,7,2]=>[[1,3,6],[2,4],[5,7]]=>13
[5,3,6,4,2,1,7]=>[[1,3,7],[2,4],[5],[6]]=>13
[5,3,6,4,2,7,1]=>[[1,3,6],[2,4],[5],[7]]=>14
[5,3,6,4,7,1,2]=>[[1,3,5],[2,4],[6,7]]=>14
[5,3,6,4,7,2,1]=>[[1,3,5],[2,4],[6],[7]]=>15
[5,3,6,7,1,2,4]=>[[1,3,4],[2,6,7],[5]]=>12
[5,3,6,7,1,4,2]=>[[1,3,4],[2,6],[5,7]]=>13
[5,3,6,7,2,1,4]=>[[1,3,4],[2,7],[5],[6]]=>13
[5,3,6,7,2,4,1]=>[[1,3,4],[2,6],[5],[7]]=>14
[5,3,6,7,4,1,2]=>[[1,3,4],[2,5],[6,7]]=>11
[5,3,6,7,4,2,1]=>[[1,3,4],[2,5],[6],[7]]=>12
[5,3,7,1,2,4,6]=>[[1,3,6,7],[2,5],[4]]=>14
[5,3,7,1,2,6,4]=>[[1,3,6],[2,5],[4,7]]=>16
[5,3,7,1,4,2,6]=>[[1,3,7],[2,5],[4,6]]=>15
[5,3,7,1,4,6,2]=>[[1,3,6],[2,5],[4,7]]=>16
[5,3,7,1,6,2,4]=>[[1,3,7],[2,5],[4,6]]=>15
[5,3,7,1,6,4,2]=>[[1,3],[2,5],[4,6],[7]]=>17
[5,3,7,2,1,4,6]=>[[1,3,7],[2,6],[4],[5]]=>15
[5,3,7,2,1,6,4]=>[[1,3],[2,6],[4,7],[5]]=>16
[5,3,7,2,4,1,6]=>[[1,3,7],[2,5],[4],[6]]=>16
[5,3,7,2,4,6,1]=>[[1,3,6],[2,5],[4],[7]]=>17
[5,3,7,2,6,1,4]=>[[1,3],[2,5],[4,7],[6]]=>18
[5,3,7,2,6,4,1]=>[[1,3],[2,5],[4,6],[7]]=>17
[5,3,7,4,1,2,6]=>[[1,3,7],[2,4],[5,6]]=>12
[5,3,7,4,1,6,2]=>[[1,3,6],[2,4],[5,7]]=>13
[5,3,7,4,2,1,6]=>[[1,3,7],[2,4],[5],[6]]=>13
[5,3,7,4,2,6,1]=>[[1,3,6],[2,4],[5],[7]]=>14
[5,3,7,4,6,1,2]=>[[1,3,5],[2,4],[6,7]]=>14
[5,3,7,4,6,2,1]=>[[1,3,5],[2,4],[6],[7]]=>15
[5,3,7,6,1,2,4]=>[[1,3,7],[2,4],[5,6]]=>12
[5,3,7,6,1,4,2]=>[[1,3],[2,4],[5,6],[7]]=>14
[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]]=>14
[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]]=>16
[5,4,1,2,3,6,7]=>[[1,4,5,6,7],[2],[3]]=>7
[5,4,1,2,3,7,6]=>[[1,4,5,6],[2,7],[3]]=>8
[5,4,1,2,6,3,7]=>[[1,4,5,7],[2,6],[3]]=>9
[5,4,1,2,6,7,3]=>[[1,4,5,6],[2,7],[3]]=>8
[5,4,1,2,7,3,6]=>[[1,4,5,7],[2,6],[3]]=>9
[5,4,1,2,7,6,3]=>[[1,4,5],[2,6],[3,7]]=>10
[5,4,1,3,2,6,7]=>[[1,4,6,7],[2],[3],[5]]=>12
[5,4,1,3,2,7,6]=>[[1,4,6],[2,7],[3],[5]]=>13
[5,4,1,3,6,2,7]=>[[1,4,5,7],[2],[3],[6]]=>11
[5,4,1,3,6,7,2]=>[[1,4,5,6],[2],[3],[7]]=>10
[5,4,1,3,7,2,6]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>10
[5,4,1,6,2,7,3]=>[[1,4,6],[2,5,7],[3]]=>11
[5,4,1,6,3,2,7]=>[[1,4,7],[2,5],[3],[6]]=>12
[5,4,1,6,3,7,2]=>[[1,4,6],[2,5],[3],[7]]=>13
[5,4,1,6,7,2,3]=>[[1,4,5],[2,6,7],[3]]=>9
[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]]=>10
[5,4,1,7,2,6,3]=>[[1,4,6],[2,5],[3,7]]=>12
[5,4,1,7,3,2,6]=>[[1,4,7],[2,5],[3],[6]]=>12
[5,4,1,7,3,6,2]=>[[1,4,6],[2,5],[3],[7]]=>13
[5,4,1,7,6,2,3]=>[[1,4,7],[2,5],[3,6]]=>11
[5,4,1,7,6,3,2]=>[[1,4],[2,5],[3,6],[7]]=>13
[5,4,2,1,3,6,7]=>[[1,5,6,7],[2],[3],[4]]=>9
[5,4,2,1,3,7,6]=>[[1,5,6],[2,7],[3],[4]]=>10
[5,4,2,1,6,3,7]=>[[1,5,7],[2,6],[3],[4]]=>11
[5,4,2,1,6,7,3]=>[[1,5,6],[2,7],[3],[4]]=>10
[5,4,2,1,7,3,6]=>[[1,5,7],[2,6],[3],[4]]=>11
[5,4,2,1,7,6,3]=>[[1,5],[2,6],[3,7],[4]]=>12
[5,4,2,3,1,6,7]=>[[1,4,6,7],[2],[3],[5]]=>12
[5,4,2,3,1,7,6]=>[[1,4,6],[2,7],[3],[5]]=>13
[5,4,2,3,6,1,7]=>[[1,4,5,7],[2],[3],[6]]=>11
[5,4,2,3,6,7,1]=>[[1,4,5,6],[2],[3],[7]]=>10
[5,4,2,3,7,1,6]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[5,4,2,6,1,7,3]=>[[1,4,6],[2,7],[3],[5]]=>13
[5,4,2,6,3,1,7]=>[[1,4,7],[2,5],[3],[6]]=>12
[5,4,2,6,3,7,1]=>[[1,4,6],[2,5],[3],[7]]=>13
[5,4,2,6,7,1,3]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[5,4,2,7,1,6,3]=>[[1,4],[2,6],[3,7],[5]]=>15
[5,4,2,7,3,1,6]=>[[1,4,7],[2,5],[3],[6]]=>12
[5,4,2,7,3,6,1]=>[[1,4,6],[2,5],[3],[7]]=>13
[5,4,2,7,6,1,3]=>[[1,4],[2,5],[3,7],[6]]=>14
[5,4,2,7,6,3,1]=>[[1,4],[2,5],[3,6],[7]]=>13
[5,4,3,1,2,6,7]=>[[1,5,6,7],[2],[3],[4]]=>9
[5,4,3,1,2,7,6]=>[[1,5,6],[2,7],[3],[4]]=>10
[5,4,3,1,6,2,7]=>[[1,5,7],[2,6],[3],[4]]=>11
[5,4,3,1,6,7,2]=>[[1,5,6],[2,7],[3],[4]]=>10
[5,4,3,1,7,2,6]=>[[1,5,7],[2,6],[3],[4]]=>11
[5,4,3,1,7,6,2]=>[[1,5],[2,6],[3,7],[4]]=>12
[5,4,3,2,1,6,7]=>[[1,6,7],[2],[3],[4],[5]]=>12
[5,4,3,2,1,7,6]=>[[1,6],[2,7],[3],[4],[5]]=>13
[5,4,3,2,6,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>14
[5,4,3,2,6,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>13
[5,4,3,2,7,1,6]=>[[1,5],[2,7],[3],[4],[6]]=>15
[5,4,3,2,7,6,1]=>[[1,5],[2,6],[3],[4],[7]]=>14
[5,4,3,6,1,2,7]=>[[1,4,7],[2,6],[3],[5]]=>14
[5,4,3,6,1,7,2]=>[[1,4,6],[2,7],[3],[5]]=>13
[5,4,3,6,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>15
[5,4,3,6,2,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>16
[5,4,3,6,7,1,2]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[5,4,3,7,1,6,2]=>[[1,4],[2,6],[3,7],[5]]=>15
[5,4,3,7,2,1,6]=>[[1,4],[2,7],[3],[5],[6]]=>16
[5,4,3,7,2,6,1]=>[[1,4],[2,6],[3],[5],[7]]=>17
[5,4,3,7,6,1,2]=>[[1,4],[2,5],[3,7],[6]]=>14
[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]]=>14
[5,4,6,1,2,7,3]=>[[1,3,6],[2,5,7],[4]]=>15
[5,4,6,1,3,2,7]=>[[1,3,7],[2,5],[4],[6]]=>16
[5,4,6,1,3,7,2]=>[[1,3,6],[2,5],[4],[7]]=>17
[5,4,6,1,7,2,3]=>[[1,3,5],[2,6,7],[4]]=>13
[5,4,6,1,7,3,2]=>[[1,3,5],[2,6],[4],[7]]=>15
[5,4,6,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>15
[5,4,6,2,1,7,3]=>[[1,3,6],[2,7],[4],[5]]=>14
[5,4,6,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>16
[5,4,6,2,3,7,1]=>[[1,3,6],[2,5],[4],[7]]=>17
[5,4,6,2,7,1,3]=>[[1,3,5],[2,7],[4],[6]]=>16
[5,4,6,2,7,3,1]=>[[1,3,5],[2,6],[4],[7]]=>15
[5,4,6,3,1,2,7]=>[[1,3,7],[2,6],[4],[5]]=>15
[5,4,6,3,1,7,2]=>[[1,3,6],[2,7],[4],[5]]=>14
[5,4,6,3,2,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>16
[5,4,6,3,2,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>17
[5,4,6,3,7,1,2]=>[[1,3,5],[2,7],[4],[6]]=>16
[5,4,6,3,7,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>18
[5,4,6,7,1,2,3]=>[[1,3,4],[2,6,7],[5]]=>12
[5,4,6,7,1,3,2]=>[[1,3,4],[2,6],[5],[7]]=>14
[5,4,6,7,2,1,3]=>[[1,3,4],[2,7],[5],[6]]=>13
[5,4,6,7,2,3,1]=>[[1,3,4],[2,6],[5],[7]]=>14
[5,4,6,7,3,1,2]=>[[1,3,4],[2,7],[5],[6]]=>13
[5,4,6,7,3,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>15
[5,4,7,1,2,3,6]=>[[1,3,6,7],[2,5],[4]]=>14
[5,4,7,1,2,6,3]=>[[1,3,6],[2,5],[4,7]]=>16
[5,4,7,1,3,2,6]=>[[1,3,7],[2,5],[4],[6]]=>16
[5,4,7,1,3,6,2]=>[[1,3,6],[2,5],[4],[7]]=>17
[5,4,7,1,6,2,3]=>[[1,3,7],[2,5],[4,6]]=>15
[5,4,7,1,6,3,2]=>[[1,3],[2,5],[4,6],[7]]=>17
[5,4,7,2,1,3,6]=>[[1,3,7],[2,6],[4],[5]]=>15
[5,4,7,2,1,6,3]=>[[1,3],[2,6],[4,7],[5]]=>16
[5,4,7,2,3,1,6]=>[[1,3,7],[2,5],[4],[6]]=>16
[5,4,7,2,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>17
[5,4,7,2,6,1,3]=>[[1,3],[2,5],[4,7],[6]]=>18
[5,4,7,2,6,3,1]=>[[1,3],[2,5],[4,6],[7]]=>17
[5,4,7,3,1,2,6]=>[[1,3,7],[2,6],[4],[5]]=>15
[5,4,7,3,1,6,2]=>[[1,3],[2,6],[4,7],[5]]=>16
[5,4,7,3,2,1,6]=>[[1,3],[2,7],[4],[5],[6]]=>17
[5,4,7,3,2,6,1]=>[[1,3],[2,6],[4],[5],[7]]=>18
[5,4,7,3,6,1,2]=>[[1,3],[2,5],[4,7],[6]]=>18
[5,4,7,3,6,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>19
[5,4,7,6,1,2,3]=>[[1,3,7],[2,4],[5,6]]=>12
[5,4,7,6,1,3,2]=>[[1,3],[2,4],[5,6],[7]]=>14
[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]]=>14
[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]]=>16
[5,6,1,2,3,4,7]=>[[1,2,5,6,7],[3,4]]=>5
[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]]=>8
[5,6,1,2,4,7,3]=>[[1,2,5,6],[3,4],[7]]=>7
[5,6,1,2,7,3,4]=>[[1,2,5,7],[3,4,6]]=>7
[5,6,1,2,7,4,3]=>[[1,2,5],[3,4,6],[7]]=>8
[5,6,1,3,2,4,7]=>[[1,2,6,7],[3,4],[5]]=>6
[5,6,1,3,2,7,4]=>[[1,2,6],[3,4,7],[5]]=>7
[5,6,1,3,4,2,7]=>[[1,2,5,7],[3,4],[6]]=>8
[5,6,1,3,4,7,2]=>[[1,2,5,6],[3,4],[7]]=>7
[5,6,1,3,7,2,4]=>[[1,2,5],[3,4,7],[6]]=>9
[5,6,1,3,7,4,2]=>[[1,2,5],[3,4,6],[7]]=>8
[5,6,1,4,2,3,7]=>[[1,2,6,7],[3,4],[5]]=>6
[5,6,1,4,2,7,3]=>[[1,2,6],[3,4,7],[5]]=>7
[5,6,1,4,3,2,7]=>[[1,2,7],[3,4],[5],[6]]=>8
[5,6,1,4,3,7,2]=>[[1,2,6],[3,4],[5],[7]]=>9
[5,6,1,4,7,2,3]=>[[1,2,5],[3,4,7],[6]]=>9
[5,6,1,4,7,3,2]=>[[1,2,5],[3,4],[6],[7]]=>10
[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]]=>9
[5,6,1,7,3,2,4]=>[[1,2,4],[3,5,7],[6]]=>10
[5,6,1,7,3,4,2]=>[[1,2,4],[3,5,6],[7]]=>9
[5,6,1,7,4,2,3]=>[[1,2,4],[3,5,7],[6]]=>10
[5,6,1,7,4,3,2]=>[[1,2,4],[3,5],[6],[7]]=>11
[5,6,2,1,3,4,7]=>[[1,2,6,7],[3,5],[4]]=>9
[5,6,2,1,3,7,4]=>[[1,2,6],[3,5,7],[4]]=>10
[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]]=>8
[5,6,2,1,7,4,3]=>[[1,2,5],[3,6],[4,7]]=>9
[5,6,2,3,1,4,7]=>[[1,2,6,7],[3,4],[5]]=>6
[5,6,2,3,1,7,4]=>[[1,2,6],[3,4,7],[5]]=>7
[5,6,2,3,4,1,7]=>[[1,2,5,7],[3,4],[6]]=>8
[5,6,2,3,4,7,1]=>[[1,2,5,6],[3,4],[7]]=>7
[5,6,2,3,7,1,4]=>[[1,2,5],[3,4,7],[6]]=>9
[5,6,2,3,7,4,1]=>[[1,2,5],[3,4,6],[7]]=>8
[5,6,2,4,1,3,7]=>[[1,2,7],[3,4],[5,6]]=>7
[5,6,2,4,1,7,3]=>[[1,2,6],[3,4],[5,7]]=>8
[5,6,2,4,3,1,7]=>[[1,2,7],[3,4],[5],[6]]=>8
[5,6,2,4,3,7,1]=>[[1,2,6],[3,4],[5],[7]]=>9
[5,6,2,4,7,1,3]=>[[1,2,5],[3,4],[6,7]]=>9
[5,6,2,4,7,3,1]=>[[1,2,5],[3,4],[6],[7]]=>10
[5,6,2,7,1,3,4]=>[[1,2,4],[3,6,7],[5]]=>11
[5,6,2,7,1,4,3]=>[[1,2,4],[3,6],[5,7]]=>12
[5,6,2,7,3,1,4]=>[[1,2,4],[3,5,7],[6]]=>10
[5,6,2,7,3,4,1]=>[[1,2,4],[3,5,6],[7]]=>9
[5,6,2,7,4,1,3]=>[[1,2,4],[3,5],[6,7]]=>10
[5,6,2,7,4,3,1]=>[[1,2,4],[3,5],[6],[7]]=>11
[5,6,3,1,2,4,7]=>[[1,2,6,7],[3,5],[4]]=>9
[5,6,3,1,2,7,4]=>[[1,2,6],[3,5,7],[4]]=>10
[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]]=>8
[5,6,3,1,7,4,2]=>[[1,2,5],[3,6],[4,7]]=>9
[5,6,3,2,1,4,7]=>[[1,2,7],[3,6],[4],[5]]=>10
[5,6,3,2,1,7,4]=>[[1,2,6],[3,7],[4],[5]]=>9
[5,6,3,2,4,1,7]=>[[1,2,7],[3,5],[4],[6]]=>11
[5,6,3,2,4,7,1]=>[[1,2,6],[3,5],[4],[7]]=>12
[5,6,3,2,7,1,4]=>[[1,2,5],[3,7],[4],[6]]=>11
[5,6,3,2,7,4,1]=>[[1,2,5],[3,6],[4],[7]]=>10
[5,6,3,4,1,2,7]=>[[1,2,7],[3,4],[5,6]]=>7
[5,6,3,4,1,7,2]=>[[1,2,6],[3,4],[5,7]]=>8
[5,6,3,4,2,1,7]=>[[1,2,7],[3,4],[5],[6]]=>8
[5,6,3,4,2,7,1]=>[[1,2,6],[3,4],[5],[7]]=>9
[5,6,3,4,7,1,2]=>[[1,2,5],[3,4],[6,7]]=>9
[5,6,3,4,7,2,1]=>[[1,2,5],[3,4],[6],[7]]=>10
[5,6,3,7,1,2,4]=>[[1,2,4],[3,6,7],[5]]=>11
[5,6,3,7,1,4,2]=>[[1,2,4],[3,6],[5,7]]=>12
[5,6,3,7,2,1,4]=>[[1,2,4],[3,7],[5],[6]]=>12
[5,6,3,7,2,4,1]=>[[1,2,4],[3,6],[5],[7]]=>13
[5,6,3,7,4,1,2]=>[[1,2,4],[3,5],[6,7]]=>10
[5,6,3,7,4,2,1]=>[[1,2,4],[3,5],[6],[7]]=>11
[5,6,4,1,2,3,7]=>[[1,2,6,7],[3,5],[4]]=>9
[5,6,4,1,2,7,3]=>[[1,2,6],[3,5,7],[4]]=>10
[5,6,4,1,3,2,7]=>[[1,2,7],[3,5],[4],[6]]=>11
[5,6,4,1,3,7,2]=>[[1,2,6],[3,5],[4],[7]]=>12
[5,6,4,1,7,2,3]=>[[1,2,5],[3,6,7],[4]]=>8
[5,6,4,1,7,3,2]=>[[1,2,5],[3,6],[4],[7]]=>10
[5,6,4,2,1,3,7]=>[[1,2,7],[3,6],[4],[5]]=>10
[5,6,4,2,1,7,3]=>[[1,2,6],[3,7],[4],[5]]=>9
[5,6,4,2,3,1,7]=>[[1,2,7],[3,5],[4],[6]]=>11
[5,6,4,2,3,7,1]=>[[1,2,6],[3,5],[4],[7]]=>12
[5,6,4,2,7,1,3]=>[[1,2,5],[3,7],[4],[6]]=>11
[5,6,4,2,7,3,1]=>[[1,2,5],[3,6],[4],[7]]=>10
[5,6,4,3,1,2,7]=>[[1,2,7],[3,6],[4],[5]]=>10
[5,6,4,3,1,7,2]=>[[1,2,6],[3,7],[4],[5]]=>9
[5,6,4,3,2,1,7]=>[[1,2,7],[3],[4],[5],[6]]=>11
[5,6,4,3,2,7,1]=>[[1,2,6],[3],[4],[5],[7]]=>12
[5,6,4,3,7,1,2]=>[[1,2,5],[3,7],[4],[6]]=>11
[5,6,4,3,7,2,1]=>[[1,2,5],[3],[4],[6],[7]]=>13
[5,6,4,7,1,2,3]=>[[1,2,4],[3,6,7],[5]]=>11
[5,6,4,7,1,3,2]=>[[1,2,4],[3,6],[5],[7]]=>13
[5,6,4,7,2,1,3]=>[[1,2,4],[3,7],[5],[6]]=>12
[5,6,4,7,2,3,1]=>[[1,2,4],[3,6],[5],[7]]=>13
[5,6,4,7,3,1,2]=>[[1,2,4],[3,7],[5],[6]]=>12
[5,6,4,7,3,2,1]=>[[1,2,4],[3],[5],[6],[7]]=>14
[5,6,7,1,2,3,4]=>[[1,2,3,7],[4,5,6]]=>4
[5,6,7,1,2,4,3]=>[[1,2,3],[4,5,6],[7]]=>5
[5,6,7,1,3,2,4]=>[[1,2,3],[4,5,7],[6]]=>6
[5,6,7,1,3,4,2]=>[[1,2,3],[4,5,6],[7]]=>5
[5,6,7,1,4,2,3]=>[[1,2,3],[4,5,7],[6]]=>6
[5,6,7,1,4,3,2]=>[[1,2,3],[4,5],[6],[7]]=>7
[5,6,7,2,1,3,4]=>[[1,2,3],[4,6,7],[5]]=>7
[5,6,7,2,1,4,3]=>[[1,2,3],[4,6],[5,7]]=>8
[5,6,7,2,3,1,4]=>[[1,2,3],[4,5,7],[6]]=>6
[5,6,7,2,3,4,1]=>[[1,2,3],[4,5,6],[7]]=>5
[5,6,7,2,4,1,3]=>[[1,2,3],[4,5],[6,7]]=>6
[5,6,7,2,4,3,1]=>[[1,2,3],[4,5],[6],[7]]=>7
[5,6,7,3,1,2,4]=>[[1,2,3],[4,6,7],[5]]=>7
[5,6,7,3,1,4,2]=>[[1,2,3],[4,6],[5,7]]=>8
[5,6,7,3,2,1,4]=>[[1,2,3],[4,7],[5],[6]]=>8
[5,6,7,3,2,4,1]=>[[1,2,3],[4,6],[5],[7]]=>9
[5,6,7,3,4,1,2]=>[[1,2,3],[4,5],[6,7]]=>6
[5,6,7,3,4,2,1]=>[[1,2,3],[4,5],[6],[7]]=>7
[5,6,7,4,1,2,3]=>[[1,2,3],[4,6,7],[5]]=>7
[5,6,7,4,1,3,2]=>[[1,2,3],[4,6],[5],[7]]=>9
[5,6,7,4,2,1,3]=>[[1,2,3],[4,7],[5],[6]]=>8
[5,6,7,4,2,3,1]=>[[1,2,3],[4,6],[5],[7]]=>9
[5,6,7,4,3,1,2]=>[[1,2,3],[4,7],[5],[6]]=>8
[5,6,7,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7]]=>10
[5,7,1,2,3,4,6]=>[[1,2,5,6,7],[3,4]]=>5
[5,7,1,2,3,6,4]=>[[1,2,5,6],[3,4],[7]]=>7
[5,7,1,2,4,3,6]=>[[1,2,5,7],[3,4],[6]]=>8
[5,7,1,2,4,6,3]=>[[1,2,5,6],[3,4],[7]]=>7
[5,7,1,2,6,3,4]=>[[1,2,5,7],[3,4],[6]]=>8
[5,7,1,2,6,4,3]=>[[1,2,5],[3,4],[6],[7]]=>10
[5,7,1,3,2,4,6]=>[[1,2,6,7],[3,4],[5]]=>6
[5,7,1,3,2,6,4]=>[[1,2,6],[3,4],[5,7]]=>8
[5,7,1,3,4,2,6]=>[[1,2,5,7],[3,4],[6]]=>8
[5,7,1,3,4,6,2]=>[[1,2,5,6],[3,4],[7]]=>7
[5,7,1,3,6,2,4]=>[[1,2,5],[3,4],[6,7]]=>9
[5,7,1,3,6,4,2]=>[[1,2,5],[3,4],[6],[7]]=>10
[5,7,1,4,2,3,6]=>[[1,2,6,7],[3,4],[5]]=>6
[5,7,1,4,2,6,3]=>[[1,2,6],[3,4],[5,7]]=>8
[5,7,1,4,3,2,6]=>[[1,2,7],[3,4],[5],[6]]=>8
[5,7,1,4,3,6,2]=>[[1,2,6],[3,4],[5],[7]]=>9
[5,7,1,4,6,2,3]=>[[1,2,5],[3,4],[6,7]]=>9
[5,7,1,4,6,3,2]=>[[1,2,5],[3,4],[6],[7]]=>10
[5,7,1,6,2,3,4]=>[[1,2,6,7],[3,4],[5]]=>6
[5,7,1,6,2,4,3]=>[[1,2,6],[3,4],[5],[7]]=>9
[5,7,1,6,3,2,4]=>[[1,2,7],[3,4],[5],[6]]=>8
[5,7,1,6,3,4,2]=>[[1,2,6],[3,4],[5],[7]]=>9
[5,7,1,6,4,2,3]=>[[1,2,7],[3,4],[5],[6]]=>8
[5,7,1,6,4,3,2]=>[[1,2],[3,4],[5],[6],[7]]=>11
[5,7,2,1,3,4,6]=>[[1,2,6,7],[3,5],[4]]=>9
[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]]=>12
[5,7,2,3,1,4,6]=>[[1,2,6,7],[3,4],[5]]=>6
[5,7,2,3,1,6,4]=>[[1,2,6],[3,4],[5,7]]=>8
[5,7,2,3,4,1,6]=>[[1,2,5,7],[3,4],[6]]=>8
[5,7,2,3,4,6,1]=>[[1,2,5,6],[3,4],[7]]=>7
[5,7,2,3,6,1,4]=>[[1,2,5],[3,4],[6,7]]=>9
[5,7,2,3,6,4,1]=>[[1,2,5],[3,4],[6],[7]]=>10
[5,7,2,4,1,3,6]=>[[1,2,7],[3,4],[5,6]]=>7
[5,7,2,4,1,6,3]=>[[1,2,6],[3,4],[5,7]]=>8
[5,7,2,4,3,1,6]=>[[1,2,7],[3,4],[5],[6]]=>8
[5,7,2,4,3,6,1]=>[[1,2,6],[3,4],[5],[7]]=>9
[5,7,2,4,6,1,3]=>[[1,2,5],[3,4],[6,7]]=>9
[5,7,2,4,6,3,1]=>[[1,2,5],[3,4],[6],[7]]=>10
[5,7,2,6,1,3,4]=>[[1,2,7],[3,4],[5,6]]=>7
[5,7,2,6,1,4,3]=>[[1,2],[3,4],[5,6],[7]]=>9
[5,7,2,6,3,1,4]=>[[1,2,7],[3,4],[5],[6]]=>8
[5,7,2,6,3,4,1]=>[[1,2,6],[3,4],[5],[7]]=>9
[5,7,2,6,4,1,3]=>[[1,2],[3,4],[5,7],[6]]=>10
[5,7,2,6,4,3,1]=>[[1,2],[3,4],[5],[6],[7]]=>11
[5,7,3,1,2,4,6]=>[[1,2,6,7],[3,5],[4]]=>9
[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]]=>12
[5,7,3,2,1,4,6]=>[[1,2,7],[3,6],[4],[5]]=>10
[5,7,3,2,1,6,4]=>[[1,2],[3,6],[4,7],[5]]=>11
[5,7,3,2,4,1,6]=>[[1,2,7],[3,5],[4],[6]]=>11
[5,7,3,2,4,6,1]=>[[1,2,6],[3,5],[4],[7]]=>12
[5,7,3,2,6,1,4]=>[[1,2],[3,5],[4,7],[6]]=>13
[5,7,3,2,6,4,1]=>[[1,2],[3,5],[4,6],[7]]=>12
[5,7,3,4,1,2,6]=>[[1,2,7],[3,4],[5,6]]=>7
[5,7,3,4,1,6,2]=>[[1,2,6],[3,4],[5,7]]=>8
[5,7,3,4,2,1,6]=>[[1,2,7],[3,4],[5],[6]]=>8
[5,7,3,4,2,6,1]=>[[1,2,6],[3,4],[5],[7]]=>9
[5,7,3,4,6,1,2]=>[[1,2,5],[3,4],[6,7]]=>9
[5,7,3,4,6,2,1]=>[[1,2,5],[3,4],[6],[7]]=>10
[5,7,3,6,1,2,4]=>[[1,2,7],[3,4],[5,6]]=>7
[5,7,3,6,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>9
[5,7,3,6,2,1,4]=>[[1,2],[3,4],[5,7],[6]]=>10
[5,7,3,6,2,4,1]=>[[1,2],[3,4],[5,6],[7]]=>9
[5,7,3,6,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>10
[5,7,3,6,4,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>11
[5,7,4,1,2,3,6]=>[[1,2,6,7],[3,5],[4]]=>9
[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]]=>11
[5,7,4,1,3,6,2]=>[[1,2,6],[3,5],[4],[7]]=>12
[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]]=>12
[5,7,4,2,1,3,6]=>[[1,2,7],[3,6],[4],[5]]=>10
[5,7,4,2,1,6,3]=>[[1,2],[3,6],[4,7],[5]]=>11
[5,7,4,2,3,1,6]=>[[1,2,7],[3,5],[4],[6]]=>11
[5,7,4,2,3,6,1]=>[[1,2,6],[3,5],[4],[7]]=>12
[5,7,4,2,6,1,3]=>[[1,2],[3,5],[4,7],[6]]=>13
[5,7,4,2,6,3,1]=>[[1,2],[3,5],[4,6],[7]]=>12
[5,7,4,3,1,2,6]=>[[1,2,7],[3,6],[4],[5]]=>10
[5,7,4,3,1,6,2]=>[[1,2],[3,6],[4,7],[5]]=>11
[5,7,4,3,2,1,6]=>[[1,2],[3,7],[4],[5],[6]]=>12
[5,7,4,3,2,6,1]=>[[1,2],[3,6],[4],[5],[7]]=>13
[5,7,4,3,6,1,2]=>[[1,2],[3,5],[4,7],[6]]=>13
[5,7,4,3,6,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>14
[5,7,4,6,1,2,3]=>[[1,2,7],[3,4],[5,6]]=>7
[5,7,4,6,1,3,2]=>[[1,2],[3,4],[5,6],[7]]=>9
[5,7,4,6,2,1,3]=>[[1,2],[3,4],[5,7],[6]]=>10
[5,7,4,6,2,3,1]=>[[1,2],[3,4],[5,6],[7]]=>9
[5,7,4,6,3,1,2]=>[[1,2],[3,4],[5,7],[6]]=>10
[5,7,4,6,3,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>11
[5,7,6,1,2,3,4]=>[[1,2,6,7],[3,5],[4]]=>9
[5,7,6,1,2,4,3]=>[[1,2,6],[3,5],[4],[7]]=>12
[5,7,6,1,3,2,4]=>[[1,2,7],[3,5],[4],[6]]=>11
[5,7,6,1,3,4,2]=>[[1,2,6],[3,5],[4],[7]]=>12
[5,7,6,1,4,2,3]=>[[1,2,7],[3,5],[4],[6]]=>11
[5,7,6,1,4,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>14
[5,7,6,2,1,3,4]=>[[1,2,7],[3,6],[4],[5]]=>10
[5,7,6,2,1,4,3]=>[[1,2],[3,6],[4,7],[5]]=>11
[5,7,6,2,3,1,4]=>[[1,2,7],[3,5],[4],[6]]=>11
[5,7,6,2,3,4,1]=>[[1,2,6],[3,5],[4],[7]]=>12
[5,7,6,2,4,1,3]=>[[1,2],[3,5],[4,7],[6]]=>13
[5,7,6,2,4,3,1]=>[[1,2],[3,5],[4],[6],[7]]=>14
[5,7,6,3,1,2,4]=>[[1,2,7],[3,6],[4],[5]]=>10
[5,7,6,3,1,4,2]=>[[1,2],[3,6],[4,7],[5]]=>11
[5,7,6,3,2,1,4]=>[[1,2],[3,7],[4],[5],[6]]=>12
[5,7,6,3,2,4,1]=>[[1,2],[3,6],[4],[5],[7]]=>13
[5,7,6,3,4,1,2]=>[[1,2],[3,5],[4,7],[6]]=>13
[5,7,6,3,4,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>14
[5,7,6,4,1,2,3]=>[[1,2,7],[3,6],[4],[5]]=>10
[5,7,6,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>13
[5,7,6,4,2,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>12
[5,7,6,4,2,3,1]=>[[1,2],[3,6],[4],[5],[7]]=>13
[5,7,6,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>12
[5,7,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>15
[6,1,2,3,4,5,7]=>[[1,3,4,5,6,7],[2]]=>6
[6,1,2,3,4,7,5]=>[[1,3,4,5,6],[2,7]]=>7
[6,1,2,3,5,4,7]=>[[1,3,4,5,7],[2],[6]]=>9
[6,1,2,3,5,7,4]=>[[1,3,4,5,6],[2],[7]]=>8
[6,1,2,3,7,4,5]=>[[1,3,4,5,7],[2,6]]=>8
[6,1,2,3,7,5,4]=>[[1,3,4,5],[2,6],[7]]=>9
[6,1,2,4,3,5,7]=>[[1,3,4,6,7],[2],[5]]=>10
[6,1,2,4,3,7,5]=>[[1,3,4,6],[2,7],[5]]=>11
[6,1,2,4,5,3,7]=>[[1,3,4,5,7],[2],[6]]=>9
[6,1,2,4,5,7,3]=>[[1,3,4,5,6],[2],[7]]=>8
[6,1,2,4,7,3,5]=>[[1,3,4,5],[2,7],[6]]=>10
[6,1,2,4,7,5,3]=>[[1,3,4,5],[2,6],[7]]=>9
[6,1,2,5,3,4,7]=>[[1,3,4,6,7],[2],[5]]=>10
[6,1,2,5,3,7,4]=>[[1,3,4,6],[2,7],[5]]=>11
[6,1,2,5,4,3,7]=>[[1,3,4,7],[2],[5],[6]]=>12
[6,1,2,5,4,7,3]=>[[1,3,4,6],[2],[5],[7]]=>13
[6,1,2,5,7,3,4]=>[[1,3,4,5],[2,7],[6]]=>10
[6,1,2,5,7,4,3]=>[[1,3,4,5],[2],[6],[7]]=>11
[6,1,2,7,3,4,5]=>[[1,3,4,6,7],[2,5]]=>9
[6,1,2,7,3,5,4]=>[[1,3,4,6],[2,5],[7]]=>11
[6,1,2,7,4,3,5]=>[[1,3,4,7],[2,5],[6]]=>10
[6,1,2,7,4,5,3]=>[[1,3,4,6],[2,5],[7]]=>11
[6,1,2,7,5,3,4]=>[[1,3,4,7],[2,5],[6]]=>10
[6,1,2,7,5,4,3]=>[[1,3,4],[2,5],[6],[7]]=>12
[6,1,3,2,4,5,7]=>[[1,3,5,6,7],[2],[4]]=>11
[6,1,3,2,4,7,5]=>[[1,3,5,6],[2,7],[4]]=>12
[6,1,3,2,5,4,7]=>[[1,3,5,7],[2,6],[4]]=>13
[6,1,3,2,5,7,4]=>[[1,3,5,6],[2,7],[4]]=>12
[6,1,3,2,7,4,5]=>[[1,3,5,7],[2,6],[4]]=>13
[6,1,3,2,7,5,4]=>[[1,3,5],[2,6],[4,7]]=>14
[6,1,3,4,2,5,7]=>[[1,3,4,6,7],[2],[5]]=>10
[6,1,3,4,2,7,5]=>[[1,3,4,6],[2,7],[5]]=>11
[6,1,3,4,5,2,7]=>[[1,3,4,5,7],[2],[6]]=>9
[6,1,3,4,5,7,2]=>[[1,3,4,5,6],[2],[7]]=>8
[6,1,3,4,7,2,5]=>[[1,3,4,5],[2,7],[6]]=>10
[6,1,3,4,7,5,2]=>[[1,3,4,5],[2,6],[7]]=>9
[6,1,3,5,2,4,7]=>[[1,3,4,7],[2,6],[5]]=>12
[6,1,3,5,2,7,4]=>[[1,3,4,6],[2,7],[5]]=>11
[6,1,3,5,4,2,7]=>[[1,3,4,7],[2],[5],[6]]=>12
[6,1,3,5,4,7,2]=>[[1,3,4,6],[2],[5],[7]]=>13
[6,1,3,5,7,2,4]=>[[1,3,4,5],[2,7],[6]]=>10
[6,1,3,5,7,4,2]=>[[1,3,4,5],[2],[6],[7]]=>11
[6,1,3,7,2,4,5]=>[[1,3,4,7],[2,6],[5]]=>12
[6,1,3,7,2,5,4]=>[[1,3,4],[2,6],[5,7]]=>13
[6,1,3,7,4,2,5]=>[[1,3,4,7],[2,5],[6]]=>10
[6,1,3,7,4,5,2]=>[[1,3,4,6],[2,5],[7]]=>11
[6,1,3,7,5,2,4]=>[[1,3,4],[2,5],[6,7]]=>11
[6,1,3,7,5,4,2]=>[[1,3,4],[2,5],[6],[7]]=>12
[6,1,4,2,3,5,7]=>[[1,3,5,6,7],[2],[4]]=>11
[6,1,4,2,3,7,5]=>[[1,3,5,6],[2,7],[4]]=>12
[6,1,4,2,5,3,7]=>[[1,3,5,7],[2,6],[4]]=>13
[6,1,4,2,5,7,3]=>[[1,3,5,6],[2,7],[4]]=>12
[6,1,4,2,7,3,5]=>[[1,3,5,7],[2,6],[4]]=>13
[6,1,4,2,7,5,3]=>[[1,3,5],[2,6],[4,7]]=>14
[6,1,4,3,2,5,7]=>[[1,3,6,7],[2],[4],[5]]=>13
[6,1,4,3,2,7,5]=>[[1,3,6],[2,7],[4],[5]]=>14
[6,1,4,3,5,2,7]=>[[1,3,5,7],[2],[4],[6]]=>15
[6,1,4,3,5,7,2]=>[[1,3,5,6],[2],[4],[7]]=>14
[6,1,4,3,7,2,5]=>[[1,3,5],[2,7],[4],[6]]=>16
[6,1,4,3,7,5,2]=>[[1,3,5],[2,6],[4],[7]]=>15
[6,1,4,5,2,3,7]=>[[1,3,4,7],[2,6],[5]]=>12
[6,1,4,5,2,7,3]=>[[1,3,4,6],[2,7],[5]]=>11
[6,1,4,5,3,2,7]=>[[1,3,4,7],[2],[5],[6]]=>12
[6,1,4,5,3,7,2]=>[[1,3,4,6],[2],[5],[7]]=>13
[6,1,4,5,7,2,3]=>[[1,3,4,5],[2,7],[6]]=>10
[6,1,4,5,7,3,2]=>[[1,3,4,5],[2],[6],[7]]=>11
[6,1,4,7,2,3,5]=>[[1,3,4,7],[2,6],[5]]=>12
[6,1,4,7,2,5,3]=>[[1,3,4],[2,6],[5,7]]=>13
[6,1,4,7,3,2,5]=>[[1,3,4],[2,7],[5],[6]]=>13
[6,1,4,7,3,5,2]=>[[1,3,4],[2,6],[5],[7]]=>14
[6,1,4,7,5,2,3]=>[[1,3,4],[2,5],[6,7]]=>11
[6,1,4,7,5,3,2]=>[[1,3,4],[2,5],[6],[7]]=>12
[6,1,5,2,3,4,7]=>[[1,3,5,6,7],[2],[4]]=>11
[6,1,5,2,3,7,4]=>[[1,3,5,6],[2,7],[4]]=>12
[6,1,5,2,4,3,7]=>[[1,3,5,7],[2],[4],[6]]=>15
[6,1,5,2,4,7,3]=>[[1,3,5,6],[2],[4],[7]]=>14
[6,1,5,2,7,3,4]=>[[1,3,5,7],[2,6],[4]]=>13
[6,1,5,2,7,4,3]=>[[1,3,5],[2,6],[4],[7]]=>15
[6,1,5,3,2,4,7]=>[[1,3,6,7],[2],[4],[5]]=>13
[6,1,5,3,2,7,4]=>[[1,3,6],[2,7],[4],[5]]=>14
[6,1,5,3,4,2,7]=>[[1,3,5,7],[2],[4],[6]]=>15
[6,1,5,3,4,7,2]=>[[1,3,5,6],[2],[4],[7]]=>14
[6,1,5,3,7,2,4]=>[[1,3,5],[2,7],[4],[6]]=>16
[6,1,5,3,7,4,2]=>[[1,3,5],[2,6],[4],[7]]=>15
[6,1,5,4,2,3,7]=>[[1,3,6,7],[2],[4],[5]]=>13
[6,1,5,4,2,7,3]=>[[1,3,6],[2,7],[4],[5]]=>14
[6,1,5,4,3,2,7]=>[[1,3,7],[2],[4],[5],[6]]=>16
[6,1,5,4,3,7,2]=>[[1,3,6],[2],[4],[5],[7]]=>17
[6,1,5,4,7,2,3]=>[[1,3,5],[2,7],[4],[6]]=>16
[6,1,5,4,7,3,2]=>[[1,3,5],[2],[4],[6],[7]]=>18
[6,1,5,7,2,3,4]=>[[1,3,4,7],[2,6],[5]]=>12
[6,1,5,7,2,4,3]=>[[1,3,4],[2,6],[5],[7]]=>14
[6,1,5,7,3,2,4]=>[[1,3,4],[2,7],[5],[6]]=>13
[6,1,5,7,3,4,2]=>[[1,3,4],[2,6],[5],[7]]=>14
[6,1,5,7,4,2,3]=>[[1,3,4],[2,7],[5],[6]]=>13
[6,1,5,7,4,3,2]=>[[1,3,4],[2],[5],[6],[7]]=>15
[6,1,7,2,3,4,5]=>[[1,3,5,6,7],[2,4]]=>10
[6,1,7,2,3,5,4]=>[[1,3,5,6],[2,4],[7]]=>12
[6,1,7,2,4,3,5]=>[[1,3,5,7],[2,4],[6]]=>13
[6,1,7,2,4,5,3]=>[[1,3,5,6],[2,4],[7]]=>12
[6,1,7,2,5,3,4]=>[[1,3,5,7],[2,4],[6]]=>13
[6,1,7,2,5,4,3]=>[[1,3,5],[2,4],[6],[7]]=>15
[6,1,7,3,2,4,5]=>[[1,3,6,7],[2,4],[5]]=>11
[6,1,7,3,2,5,4]=>[[1,3,6],[2,4],[5,7]]=>13
[6,1,7,3,4,2,5]=>[[1,3,5,7],[2,4],[6]]=>13
[6,1,7,3,4,5,2]=>[[1,3,5,6],[2,4],[7]]=>12
[6,1,7,3,5,2,4]=>[[1,3,5],[2,4],[6,7]]=>14
[6,1,7,3,5,4,2]=>[[1,3,5],[2,4],[6],[7]]=>15
[6,1,7,4,2,3,5]=>[[1,3,6,7],[2,4],[5]]=>11
[6,1,7,4,2,5,3]=>[[1,3,6],[2,4],[5,7]]=>13
[6,1,7,4,3,2,5]=>[[1,3,7],[2,4],[5],[6]]=>13
[6,1,7,4,3,5,2]=>[[1,3,6],[2,4],[5],[7]]=>14
[6,1,7,4,5,2,3]=>[[1,3,5],[2,4],[6,7]]=>14
[6,1,7,4,5,3,2]=>[[1,3,5],[2,4],[6],[7]]=>15
[6,1,7,5,2,3,4]=>[[1,3,6,7],[2,4],[5]]=>11
[6,1,7,5,2,4,3]=>[[1,3,6],[2,4],[5],[7]]=>14
[6,1,7,5,3,2,4]=>[[1,3,7],[2,4],[5],[6]]=>13
[6,1,7,5,3,4,2]=>[[1,3,6],[2,4],[5],[7]]=>14
[6,1,7,5,4,2,3]=>[[1,3,7],[2,4],[5],[6]]=>13
[6,1,7,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7]]=>16
[6,2,1,3,4,5,7]=>[[1,4,5,6,7],[2],[3]]=>7
[6,2,1,3,4,7,5]=>[[1,4,5,6],[2,7],[3]]=>8
[6,2,1,3,5,4,7]=>[[1,4,5,7],[2,6],[3]]=>9
[6,2,1,3,5,7,4]=>[[1,4,5,6],[2,7],[3]]=>8
[6,2,1,3,7,4,5]=>[[1,4,5,7],[2,6],[3]]=>9
[6,2,1,3,7,5,4]=>[[1,4,5],[2,6],[3,7]]=>10
[6,2,1,4,3,5,7]=>[[1,4,6,7],[2,5],[3]]=>10
[6,2,1,4,3,7,5]=>[[1,4,6],[2,5,7],[3]]=>11
[6,2,1,4,5,3,7]=>[[1,4,5,7],[2,6],[3]]=>9
[6,2,1,4,5,7,3]=>[[1,4,5,6],[2,7],[3]]=>8
[6,2,1,4,7,3,5]=>[[1,4,5],[2,6,7],[3]]=>9
[6,2,1,4,7,5,3]=>[[1,4,5],[2,6],[3,7]]=>10
[6,2,1,5,3,4,7]=>[[1,4,6,7],[2,5],[3]]=>10
[6,2,1,5,3,7,4]=>[[1,4,6],[2,5,7],[3]]=>11
[6,2,1,5,4,3,7]=>[[1,4,7],[2,5],[3],[6]]=>12
[6,2,1,5,4,7,3]=>[[1,4,6],[2,5],[3],[7]]=>13
[6,2,1,5,7,3,4]=>[[1,4,5],[2,6,7],[3]]=>9
[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]]=>10
[6,2,1,7,3,5,4]=>[[1,4,6],[2,5],[3,7]]=>12
[6,2,1,7,4,3,5]=>[[1,4,7],[2,5],[3,6]]=>11
[6,2,1,7,4,5,3]=>[[1,4,6],[2,5],[3,7]]=>12
[6,2,1,7,5,3,4]=>[[1,4,7],[2,5],[3,6]]=>11
[6,2,1,7,5,4,3]=>[[1,4],[2,5],[3,6],[7]]=>13
[6,2,3,1,4,5,7]=>[[1,3,5,6,7],[2],[4]]=>11
[6,2,3,1,4,7,5]=>[[1,3,5,6],[2,7],[4]]=>12
[6,2,3,1,5,4,7]=>[[1,3,5,7],[2,6],[4]]=>13
[6,2,3,1,5,7,4]=>[[1,3,5,6],[2,7],[4]]=>12
[6,2,3,1,7,4,5]=>[[1,3,5,7],[2,6],[4]]=>13
[6,2,3,1,7,5,4]=>[[1,3,5],[2,6],[4,7]]=>14
[6,2,3,4,1,5,7]=>[[1,3,4,6,7],[2],[5]]=>10
[6,2,3,4,1,7,5]=>[[1,3,4,6],[2,7],[5]]=>11
[6,2,3,4,5,1,7]=>[[1,3,4,5,7],[2],[6]]=>9
[6,2,3,4,5,7,1]=>[[1,3,4,5,6],[2],[7]]=>8
[6,2,3,4,7,1,5]=>[[1,3,4,5],[2,7],[6]]=>10
[6,2,3,4,7,5,1]=>[[1,3,4,5],[2,6],[7]]=>9
[6,2,3,5,1,4,7]=>[[1,3,4,7],[2,6],[5]]=>12
[6,2,3,5,1,7,4]=>[[1,3,4,6],[2,7],[5]]=>11
[6,2,3,5,4,1,7]=>[[1,3,4,7],[2],[5],[6]]=>12
[6,2,3,5,4,7,1]=>[[1,3,4,6],[2],[5],[7]]=>13
[6,2,3,5,7,1,4]=>[[1,3,4,5],[2,7],[6]]=>10
[6,2,3,5,7,4,1]=>[[1,3,4,5],[2],[6],[7]]=>11
[6,2,3,7,1,4,5]=>[[1,3,4,7],[2,6],[5]]=>12
[6,2,3,7,1,5,4]=>[[1,3,4],[2,6],[5,7]]=>13
[6,2,3,7,4,1,5]=>[[1,3,4,7],[2,5],[6]]=>10
[6,2,3,7,4,5,1]=>[[1,3,4,6],[2,5],[7]]=>11
[6,2,3,7,5,1,4]=>[[1,3,4],[2,5],[6,7]]=>11
[6,2,3,7,5,4,1]=>[[1,3,4],[2,5],[6],[7]]=>12
[6,2,4,1,3,5,7]=>[[1,3,6,7],[2,5],[4]]=>14
[6,2,4,1,3,7,5]=>[[1,3,6],[2,5,7],[4]]=>15
[6,2,4,1,5,3,7]=>[[1,3,5,7],[2,6],[4]]=>13
[6,2,4,1,5,7,3]=>[[1,3,5,6],[2,7],[4]]=>12
[6,2,4,1,7,3,5]=>[[1,3,5],[2,6,7],[4]]=>13
[6,2,4,1,7,5,3]=>[[1,3,5],[2,6],[4,7]]=>14
[6,2,4,3,1,5,7]=>[[1,3,6,7],[2],[4],[5]]=>13
[6,2,4,3,1,7,5]=>[[1,3,6],[2,7],[4],[5]]=>14
[6,2,4,3,5,1,7]=>[[1,3,5,7],[2],[4],[6]]=>15
[6,2,4,3,5,7,1]=>[[1,3,5,6],[2],[4],[7]]=>14
[6,2,4,3,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>16
[6,2,4,3,7,5,1]=>[[1,3,5],[2,6],[4],[7]]=>15
[6,2,4,5,1,3,7]=>[[1,3,4,7],[2,6],[5]]=>12
[6,2,4,5,1,7,3]=>[[1,3,4,6],[2,7],[5]]=>11
[6,2,4,5,3,1,7]=>[[1,3,4,7],[2],[5],[6]]=>12
[6,2,4,5,3,7,1]=>[[1,3,4,6],[2],[5],[7]]=>13
[6,2,4,5,7,1,3]=>[[1,3,4,5],[2,7],[6]]=>10
[6,2,4,5,7,3,1]=>[[1,3,4,5],[2],[6],[7]]=>11
[6,2,4,7,1,3,5]=>[[1,3,4],[2,6,7],[5]]=>12
[6,2,4,7,1,5,3]=>[[1,3,4],[2,6],[5,7]]=>13
[6,2,4,7,3,1,5]=>[[1,3,4],[2,7],[5],[6]]=>13
[6,2,4,7,3,5,1]=>[[1,3,4],[2,6],[5],[7]]=>14
[6,2,4,7,5,1,3]=>[[1,3,4],[2,5],[6,7]]=>11
[6,2,4,7,5,3,1]=>[[1,3,4],[2,5],[6],[7]]=>12
[6,2,5,1,3,4,7]=>[[1,3,6,7],[2,5],[4]]=>14
[6,2,5,1,3,7,4]=>[[1,3,6],[2,5,7],[4]]=>15
[6,2,5,1,4,3,7]=>[[1,3,7],[2,5],[4],[6]]=>16
[6,2,5,1,4,7,3]=>[[1,3,6],[2,5],[4],[7]]=>17
[6,2,5,1,7,3,4]=>[[1,3,5],[2,6,7],[4]]=>13
[6,2,5,1,7,4,3]=>[[1,3,5],[2,6],[4],[7]]=>15
[6,2,5,3,1,4,7]=>[[1,3,6,7],[2],[4],[5]]=>13
[6,2,5,3,1,7,4]=>[[1,3,6],[2,7],[4],[5]]=>14
[6,2,5,3,4,1,7]=>[[1,3,5,7],[2],[4],[6]]=>15
[6,2,5,3,4,7,1]=>[[1,3,5,6],[2],[4],[7]]=>14
[6,2,5,3,7,1,4]=>[[1,3,5],[2,7],[4],[6]]=>16
[6,2,5,3,7,4,1]=>[[1,3,5],[2,6],[4],[7]]=>15
[6,2,5,4,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>15
[6,2,5,4,1,7,3]=>[[1,3,6],[2,7],[4],[5]]=>14
[6,2,5,4,3,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>16
[6,2,5,4,3,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>17
[6,2,5,4,7,1,3]=>[[1,3,5],[2,7],[4],[6]]=>16
[6,2,5,4,7,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>18
[6,2,5,7,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>12
[6,2,5,7,1,4,3]=>[[1,3,4],[2,6],[5],[7]]=>14
[6,2,5,7,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>13
[6,2,5,7,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>14
[6,2,5,7,4,1,3]=>[[1,3,4],[2,7],[5],[6]]=>13
[6,2,5,7,4,3,1]=>[[1,3,4],[2],[5],[6],[7]]=>15
[6,2,7,1,3,4,5]=>[[1,3,6,7],[2,5],[4]]=>14
[6,2,7,1,3,5,4]=>[[1,3,6],[2,5],[4,7]]=>16
[6,2,7,1,4,3,5]=>[[1,3,7],[2,5],[4,6]]=>15
[6,2,7,1,4,5,3]=>[[1,3,6],[2,5],[4,7]]=>16
[6,2,7,1,5,3,4]=>[[1,3,7],[2,5],[4,6]]=>15
[6,2,7,1,5,4,3]=>[[1,3],[2,5],[4,6],[7]]=>17
[6,2,7,3,1,4,5]=>[[1,3,6,7],[2,4],[5]]=>11
[6,2,7,3,1,5,4]=>[[1,3,6],[2,4],[5,7]]=>13
[6,2,7,3,4,1,5]=>[[1,3,5,7],[2,4],[6]]=>13
[6,2,7,3,4,5,1]=>[[1,3,5,6],[2,4],[7]]=>12
[6,2,7,3,5,1,4]=>[[1,3,5],[2,4],[6,7]]=>14
[6,2,7,3,5,4,1]=>[[1,3,5],[2,4],[6],[7]]=>15
[6,2,7,4,1,3,5]=>[[1,3,7],[2,4],[5,6]]=>12
[6,2,7,4,1,5,3]=>[[1,3,6],[2,4],[5,7]]=>13
[6,2,7,4,3,1,5]=>[[1,3,7],[2,4],[5],[6]]=>13
[6,2,7,4,3,5,1]=>[[1,3,6],[2,4],[5],[7]]=>14
[6,2,7,4,5,1,3]=>[[1,3,5],[2,4],[6,7]]=>14
[6,2,7,4,5,3,1]=>[[1,3,5],[2,4],[6],[7]]=>15
[6,2,7,5,1,3,4]=>[[1,3,7],[2,4],[5,6]]=>12
[6,2,7,5,1,4,3]=>[[1,3],[2,4],[5,6],[7]]=>14
[6,2,7,5,3,1,4]=>[[1,3,7],[2,4],[5],[6]]=>13
[6,2,7,5,3,4,1]=>[[1,3,6],[2,4],[5],[7]]=>14
[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]]=>16
[6,3,1,2,4,5,7]=>[[1,4,5,6,7],[2],[3]]=>7
[6,3,1,2,4,7,5]=>[[1,4,5,6],[2,7],[3]]=>8
[6,3,1,2,5,4,7]=>[[1,4,5,7],[2,6],[3]]=>9
[6,3,1,2,5,7,4]=>[[1,4,5,6],[2,7],[3]]=>8
[6,3,1,2,7,4,5]=>[[1,4,5,7],[2,6],[3]]=>9
[6,3,1,2,7,5,4]=>[[1,4,5],[2,6],[3,7]]=>10
[6,3,1,4,2,5,7]=>[[1,4,6,7],[2,5],[3]]=>10
[6,3,1,4,2,7,5]=>[[1,4,6],[2,5,7],[3]]=>11
[6,3,1,4,5,2,7]=>[[1,4,5,7],[2,6],[3]]=>9
[6,3,1,4,5,7,2]=>[[1,4,5,6],[2,7],[3]]=>8
[6,3,1,4,7,2,5]=>[[1,4,5],[2,6,7],[3]]=>9
[6,3,1,4,7,5,2]=>[[1,4,5],[2,6],[3,7]]=>10
[6,3,1,5,2,4,7]=>[[1,4,6,7],[2,5],[3]]=>10
[6,3,1,5,2,7,4]=>[[1,4,6],[2,5,7],[3]]=>11
[6,3,1,5,4,2,7]=>[[1,4,7],[2,5],[3],[6]]=>12
[6,3,1,5,4,7,2]=>[[1,4,6],[2,5],[3],[7]]=>13
[6,3,1,5,7,2,4]=>[[1,4,5],[2,6,7],[3]]=>9
[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]]=>10
[6,3,1,7,2,5,4]=>[[1,4,6],[2,5],[3,7]]=>12
[6,3,1,7,4,2,5]=>[[1,4,7],[2,5],[3,6]]=>11
[6,3,1,7,4,5,2]=>[[1,4,6],[2,5],[3,7]]=>12
[6,3,1,7,5,2,4]=>[[1,4,7],[2,5],[3,6]]=>11
[6,3,1,7,5,4,2]=>[[1,4],[2,5],[3,6],[7]]=>13
[6,3,2,1,4,5,7]=>[[1,5,6,7],[2],[3],[4]]=>9
[6,3,2,1,4,7,5]=>[[1,5,6],[2,7],[3],[4]]=>10
[6,3,2,1,5,4,7]=>[[1,5,7],[2,6],[3],[4]]=>11
[6,3,2,1,5,7,4]=>[[1,5,6],[2,7],[3],[4]]=>10
[6,3,2,1,7,4,5]=>[[1,5,7],[2,6],[3],[4]]=>11
[6,3,2,1,7,5,4]=>[[1,5],[2,6],[3,7],[4]]=>12
[6,3,2,4,1,5,7]=>[[1,4,6,7],[2],[3],[5]]=>12
[6,3,2,4,1,7,5]=>[[1,4,6],[2,7],[3],[5]]=>13
[6,3,2,4,5,1,7]=>[[1,4,5,7],[2],[3],[6]]=>11
[6,3,2,4,5,7,1]=>[[1,4,5,6],[2],[3],[7]]=>10
[6,3,2,4,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[6,3,2,5,1,7,4]=>[[1,4,6],[2,7],[3],[5]]=>13
[6,3,2,5,4,1,7]=>[[1,4,7],[2,5],[3],[6]]=>12
[6,3,2,5,4,7,1]=>[[1,4,6],[2,5],[3],[7]]=>13
[6,3,2,5,7,1,4]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[6,3,2,7,1,5,4]=>[[1,4],[2,6],[3,7],[5]]=>15
[6,3,2,7,4,1,5]=>[[1,4,7],[2,5],[3],[6]]=>12
[6,3,2,7,4,5,1]=>[[1,4,6],[2,5],[3],[7]]=>13
[6,3,2,7,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>14
[6,3,2,7,5,4,1]=>[[1,4],[2,5],[3,6],[7]]=>13
[6,3,4,1,2,5,7]=>[[1,3,6,7],[2,5],[4]]=>14
[6,3,4,1,2,7,5]=>[[1,3,6],[2,5,7],[4]]=>15
[6,3,4,1,5,2,7]=>[[1,3,5,7],[2,6],[4]]=>13
[6,3,4,1,5,7,2]=>[[1,3,5,6],[2,7],[4]]=>12
[6,3,4,1,7,2,5]=>[[1,3,5],[2,6,7],[4]]=>13
[6,3,4,1,7,5,2]=>[[1,3,5],[2,6],[4,7]]=>14
[6,3,4,2,1,5,7]=>[[1,3,6,7],[2],[4],[5]]=>13
[6,3,4,2,1,7,5]=>[[1,3,6],[2,7],[4],[5]]=>14
[6,3,4,2,5,1,7]=>[[1,3,5,7],[2],[4],[6]]=>15
[6,3,4,2,5,7,1]=>[[1,3,5,6],[2],[4],[7]]=>14
[6,3,4,2,7,1,5]=>[[1,3,5],[2,7],[4],[6]]=>16
[6,3,4,2,7,5,1]=>[[1,3,5],[2,6],[4],[7]]=>15
[6,3,4,5,1,2,7]=>[[1,3,4,7],[2,6],[5]]=>12
[6,3,4,5,1,7,2]=>[[1,3,4,6],[2,7],[5]]=>11
[6,3,4,5,2,1,7]=>[[1,3,4,7],[2],[5],[6]]=>12
[6,3,4,5,2,7,1]=>[[1,3,4,6],[2],[5],[7]]=>13
[6,3,4,5,7,1,2]=>[[1,3,4,5],[2,7],[6]]=>10
[6,3,4,5,7,2,1]=>[[1,3,4,5],[2],[6],[7]]=>11
[6,3,4,7,1,2,5]=>[[1,3,4],[2,6,7],[5]]=>12
[6,3,4,7,1,5,2]=>[[1,3,4],[2,6],[5,7]]=>13
[6,3,4,7,2,1,5]=>[[1,3,4],[2,7],[5],[6]]=>13
[6,3,4,7,2,5,1]=>[[1,3,4],[2,6],[5],[7]]=>14
[6,3,4,7,5,1,2]=>[[1,3,4],[2,5],[6,7]]=>11
[6,3,4,7,5,2,1]=>[[1,3,4],[2,5],[6],[7]]=>12
[6,3,5,1,2,4,7]=>[[1,3,6,7],[2,5],[4]]=>14
[6,3,5,1,2,7,4]=>[[1,3,6],[2,5,7],[4]]=>15
[6,3,5,1,4,2,7]=>[[1,3,7],[2,5],[4],[6]]=>16
[6,3,5,1,4,7,2]=>[[1,3,6],[2,5],[4],[7]]=>17
[6,3,5,1,7,2,4]=>[[1,3,5],[2,6,7],[4]]=>13
[6,3,5,1,7,4,2]=>[[1,3,5],[2,6],[4],[7]]=>15
[6,3,5,2,1,4,7]=>[[1,3,7],[2,6],[4],[5]]=>15
[6,3,5,2,1,7,4]=>[[1,3,6],[2,7],[4],[5]]=>14
[6,3,5,2,4,1,7]=>[[1,3,7],[2,5],[4],[6]]=>16
[6,3,5,2,4,7,1]=>[[1,3,6],[2,5],[4],[7]]=>17
[6,3,5,2,7,1,4]=>[[1,3,5],[2,7],[4],[6]]=>16
[6,3,5,2,7,4,1]=>[[1,3,5],[2,6],[4],[7]]=>15
[6,3,5,4,1,2,7]=>[[1,3,7],[2,6],[4],[5]]=>15
[6,3,5,4,1,7,2]=>[[1,3,6],[2,7],[4],[5]]=>14
[6,3,5,4,2,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>16
[6,3,5,4,2,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>17
[6,3,5,4,7,1,2]=>[[1,3,5],[2,7],[4],[6]]=>16
[6,3,5,4,7,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>18
[6,3,5,7,1,2,4]=>[[1,3,4],[2,6,7],[5]]=>12
[6,3,5,7,1,4,2]=>[[1,3,4],[2,6],[5],[7]]=>14
[6,3,5,7,2,1,4]=>[[1,3,4],[2,7],[5],[6]]=>13
[6,3,5,7,2,4,1]=>[[1,3,4],[2,6],[5],[7]]=>14
[6,3,5,7,4,1,2]=>[[1,3,4],[2,7],[5],[6]]=>13
[6,3,5,7,4,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>15
[6,3,7,1,2,4,5]=>[[1,3,6,7],[2,5],[4]]=>14
[6,3,7,1,2,5,4]=>[[1,3,6],[2,5],[4,7]]=>16
[6,3,7,1,4,2,5]=>[[1,3,7],[2,5],[4,6]]=>15
[6,3,7,1,4,5,2]=>[[1,3,6],[2,5],[4,7]]=>16
[6,3,7,1,5,2,4]=>[[1,3,7],[2,5],[4,6]]=>15
[6,3,7,1,5,4,2]=>[[1,3],[2,5],[4,6],[7]]=>17
[6,3,7,2,1,4,5]=>[[1,3,7],[2,6],[4],[5]]=>15
[6,3,7,2,1,5,4]=>[[1,3],[2,6],[4,7],[5]]=>16
[6,3,7,2,4,1,5]=>[[1,3,7],[2,5],[4],[6]]=>16
[6,3,7,2,4,5,1]=>[[1,3,6],[2,5],[4],[7]]=>17
[6,3,7,2,5,1,4]=>[[1,3],[2,5],[4,7],[6]]=>18
[6,3,7,2,5,4,1]=>[[1,3],[2,5],[4,6],[7]]=>17
[6,3,7,4,1,2,5]=>[[1,3,7],[2,4],[5,6]]=>12
[6,3,7,4,1,5,2]=>[[1,3,6],[2,4],[5,7]]=>13
[6,3,7,4,2,1,5]=>[[1,3,7],[2,4],[5],[6]]=>13
[6,3,7,4,2,5,1]=>[[1,3,6],[2,4],[5],[7]]=>14
[6,3,7,4,5,1,2]=>[[1,3,5],[2,4],[6,7]]=>14
[6,3,7,4,5,2,1]=>[[1,3,5],[2,4],[6],[7]]=>15
[6,3,7,5,1,2,4]=>[[1,3,7],[2,4],[5,6]]=>12
[6,3,7,5,1,4,2]=>[[1,3],[2,4],[5,6],[7]]=>14
[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]]=>14
[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]]=>16
[6,4,1,2,3,5,7]=>[[1,4,5,6,7],[2],[3]]=>7
[6,4,1,2,3,7,5]=>[[1,4,5,6],[2,7],[3]]=>8
[6,4,1,2,5,3,7]=>[[1,4,5,7],[2,6],[3]]=>9
[6,4,1,2,5,7,3]=>[[1,4,5,6],[2,7],[3]]=>8
[6,4,1,2,7,3,5]=>[[1,4,5,7],[2,6],[3]]=>9
[6,4,1,2,7,5,3]=>[[1,4,5],[2,6],[3,7]]=>10
[6,4,1,3,2,5,7]=>[[1,4,6,7],[2],[3],[5]]=>12
[6,4,1,3,2,7,5]=>[[1,4,6],[2,7],[3],[5]]=>13
[6,4,1,3,5,2,7]=>[[1,4,5,7],[2],[3],[6]]=>11
[6,4,1,3,5,7,2]=>[[1,4,5,6],[2],[3],[7]]=>10
[6,4,1,3,7,2,5]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>10
[6,4,1,5,2,7,3]=>[[1,4,6],[2,5,7],[3]]=>11
[6,4,1,5,3,2,7]=>[[1,4,7],[2,5],[3],[6]]=>12
[6,4,1,5,3,7,2]=>[[1,4,6],[2,5],[3],[7]]=>13
[6,4,1,5,7,2,3]=>[[1,4,5],[2,6,7],[3]]=>9
[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]]=>10
[6,4,1,7,2,5,3]=>[[1,4,6],[2,5],[3,7]]=>12
[6,4,1,7,3,2,5]=>[[1,4,7],[2,5],[3],[6]]=>12
[6,4,1,7,3,5,2]=>[[1,4,6],[2,5],[3],[7]]=>13
[6,4,1,7,5,2,3]=>[[1,4,7],[2,5],[3,6]]=>11
[6,4,1,7,5,3,2]=>[[1,4],[2,5],[3,6],[7]]=>13
[6,4,2,1,3,5,7]=>[[1,5,6,7],[2],[3],[4]]=>9
[6,4,2,1,3,7,5]=>[[1,5,6],[2,7],[3],[4]]=>10
[6,4,2,1,5,3,7]=>[[1,5,7],[2,6],[3],[4]]=>11
[6,4,2,1,5,7,3]=>[[1,5,6],[2,7],[3],[4]]=>10
[6,4,2,1,7,3,5]=>[[1,5,7],[2,6],[3],[4]]=>11
[6,4,2,1,7,5,3]=>[[1,5],[2,6],[3,7],[4]]=>12
[6,4,2,3,1,5,7]=>[[1,4,6,7],[2],[3],[5]]=>12
[6,4,2,3,1,7,5]=>[[1,4,6],[2,7],[3],[5]]=>13
[6,4,2,3,5,1,7]=>[[1,4,5,7],[2],[3],[6]]=>11
[6,4,2,3,5,7,1]=>[[1,4,5,6],[2],[3],[7]]=>10
[6,4,2,3,7,1,5]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[6,4,2,5,1,7,3]=>[[1,4,6],[2,7],[3],[5]]=>13
[6,4,2,5,3,1,7]=>[[1,4,7],[2,5],[3],[6]]=>12
[6,4,2,5,3,7,1]=>[[1,4,6],[2,5],[3],[7]]=>13
[6,4,2,5,7,1,3]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[6,4,2,7,1,5,3]=>[[1,4],[2,6],[3,7],[5]]=>15
[6,4,2,7,3,1,5]=>[[1,4,7],[2,5],[3],[6]]=>12
[6,4,2,7,3,5,1]=>[[1,4,6],[2,5],[3],[7]]=>13
[6,4,2,7,5,1,3]=>[[1,4],[2,5],[3,7],[6]]=>14
[6,4,2,7,5,3,1]=>[[1,4],[2,5],[3,6],[7]]=>13
[6,4,3,1,2,5,7]=>[[1,5,6,7],[2],[3],[4]]=>9
[6,4,3,1,2,7,5]=>[[1,5,6],[2,7],[3],[4]]=>10
[6,4,3,1,5,2,7]=>[[1,5,7],[2,6],[3],[4]]=>11
[6,4,3,1,5,7,2]=>[[1,5,6],[2,7],[3],[4]]=>10
[6,4,3,1,7,2,5]=>[[1,5,7],[2,6],[3],[4]]=>11
[6,4,3,1,7,5,2]=>[[1,5],[2,6],[3,7],[4]]=>12
[6,4,3,2,1,5,7]=>[[1,6,7],[2],[3],[4],[5]]=>12
[6,4,3,2,1,7,5]=>[[1,6],[2,7],[3],[4],[5]]=>13
[6,4,3,2,5,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>14
[6,4,3,2,5,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>13
[6,4,3,2,7,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>15
[6,4,3,2,7,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>14
[6,4,3,5,1,2,7]=>[[1,4,7],[2,6],[3],[5]]=>14
[6,4,3,5,1,7,2]=>[[1,4,6],[2,7],[3],[5]]=>13
[6,4,3,5,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>15
[6,4,3,5,2,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>16
[6,4,3,5,7,1,2]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[6,4,3,7,1,5,2]=>[[1,4],[2,6],[3,7],[5]]=>15
[6,4,3,7,2,1,5]=>[[1,4],[2,7],[3],[5],[6]]=>16
[6,4,3,7,2,5,1]=>[[1,4],[2,6],[3],[5],[7]]=>17
[6,4,3,7,5,1,2]=>[[1,4],[2,5],[3,7],[6]]=>14
[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]]=>14
[6,4,5,1,2,7,3]=>[[1,3,6],[2,5,7],[4]]=>15
[6,4,5,1,3,2,7]=>[[1,3,7],[2,5],[4],[6]]=>16
[6,4,5,1,3,7,2]=>[[1,3,6],[2,5],[4],[7]]=>17
[6,4,5,1,7,2,3]=>[[1,3,5],[2,6,7],[4]]=>13
[6,4,5,1,7,3,2]=>[[1,3,5],[2,6],[4],[7]]=>15
[6,4,5,2,1,3,7]=>[[1,3,7],[2,6],[4],[5]]=>15
[6,4,5,2,1,7,3]=>[[1,3,6],[2,7],[4],[5]]=>14
[6,4,5,2,3,1,7]=>[[1,3,7],[2,5],[4],[6]]=>16
[6,4,5,2,3,7,1]=>[[1,3,6],[2,5],[4],[7]]=>17
[6,4,5,2,7,1,3]=>[[1,3,5],[2,7],[4],[6]]=>16
[6,4,5,2,7,3,1]=>[[1,3,5],[2,6],[4],[7]]=>15
[6,4,5,3,1,2,7]=>[[1,3,7],[2,6],[4],[5]]=>15
[6,4,5,3,1,7,2]=>[[1,3,6],[2,7],[4],[5]]=>14
[6,4,5,3,2,1,7]=>[[1,3,7],[2],[4],[5],[6]]=>16
[6,4,5,3,2,7,1]=>[[1,3,6],[2],[4],[5],[7]]=>17
[6,4,5,3,7,1,2]=>[[1,3,5],[2,7],[4],[6]]=>16
[6,4,5,3,7,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>18
[6,4,5,7,1,2,3]=>[[1,3,4],[2,6,7],[5]]=>12
[6,4,5,7,1,3,2]=>[[1,3,4],[2,6],[5],[7]]=>14
[6,4,5,7,2,1,3]=>[[1,3,4],[2,7],[5],[6]]=>13
[6,4,5,7,2,3,1]=>[[1,3,4],[2,6],[5],[7]]=>14
[6,4,5,7,3,1,2]=>[[1,3,4],[2,7],[5],[6]]=>13
[6,4,5,7,3,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>15
[6,4,7,1,2,3,5]=>[[1,3,6,7],[2,5],[4]]=>14
[6,4,7,1,2,5,3]=>[[1,3,6],[2,5],[4,7]]=>16
[6,4,7,1,3,2,5]=>[[1,3,7],[2,5],[4],[6]]=>16
[6,4,7,1,3,5,2]=>[[1,3,6],[2,5],[4],[7]]=>17
[6,4,7,1,5,2,3]=>[[1,3,7],[2,5],[4,6]]=>15
[6,4,7,1,5,3,2]=>[[1,3],[2,5],[4,6],[7]]=>17
[6,4,7,2,1,3,5]=>[[1,3,7],[2,6],[4],[5]]=>15
[6,4,7,2,1,5,3]=>[[1,3],[2,6],[4,7],[5]]=>16
[6,4,7,2,3,1,5]=>[[1,3,7],[2,5],[4],[6]]=>16
[6,4,7,2,3,5,1]=>[[1,3,6],[2,5],[4],[7]]=>17
[6,4,7,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>18
[6,4,7,2,5,3,1]=>[[1,3],[2,5],[4,6],[7]]=>17
[6,4,7,3,1,2,5]=>[[1,3,7],[2,6],[4],[5]]=>15
[6,4,7,3,1,5,2]=>[[1,3],[2,6],[4,7],[5]]=>16
[6,4,7,3,2,1,5]=>[[1,3],[2,7],[4],[5],[6]]=>17
[6,4,7,3,2,5,1]=>[[1,3],[2,6],[4],[5],[7]]=>18
[6,4,7,3,5,1,2]=>[[1,3],[2,5],[4,7],[6]]=>18
[6,4,7,3,5,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>19
[6,4,7,5,1,2,3]=>[[1,3,7],[2,4],[5,6]]=>12
[6,4,7,5,1,3,2]=>[[1,3],[2,4],[5,6],[7]]=>14
[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]]=>14
[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]]=>16
[6,5,1,2,3,4,7]=>[[1,4,5,6,7],[2],[3]]=>7
[6,5,1,2,3,7,4]=>[[1,4,5,6],[2,7],[3]]=>8
[6,5,1,2,4,3,7]=>[[1,4,5,7],[2],[3],[6]]=>11
[6,5,1,2,4,7,3]=>[[1,4,5,6],[2],[3],[7]]=>10
[6,5,1,2,7,3,4]=>[[1,4,5,7],[2,6],[3]]=>9
[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]]=>12
[6,5,1,3,2,7,4]=>[[1,4,6],[2,7],[3],[5]]=>13
[6,5,1,3,4,2,7]=>[[1,4,5,7],[2],[3],[6]]=>11
[6,5,1,3,4,7,2]=>[[1,4,5,6],[2],[3],[7]]=>10
[6,5,1,3,7,2,4]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>12
[6,5,1,4,2,7,3]=>[[1,4,6],[2,7],[3],[5]]=>13
[6,5,1,4,3,2,7]=>[[1,4,7],[2],[3],[5],[6]]=>15
[6,5,1,4,3,7,2]=>[[1,4,6],[2],[3],[5],[7]]=>16
[6,5,1,4,7,2,3]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>10
[6,5,1,7,2,4,3]=>[[1,4,6],[2,5],[3],[7]]=>13
[6,5,1,7,3,2,4]=>[[1,4,7],[2,5],[3],[6]]=>12
[6,5,1,7,3,4,2]=>[[1,4,6],[2,5],[3],[7]]=>13
[6,5,1,7,4,2,3]=>[[1,4,7],[2,5],[3],[6]]=>12
[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]]=>9
[6,5,2,1,3,7,4]=>[[1,5,6],[2,7],[3],[4]]=>10
[6,5,2,1,4,3,7]=>[[1,5,7],[2,6],[3],[4]]=>11
[6,5,2,1,4,7,3]=>[[1,5,6],[2,7],[3],[4]]=>10
[6,5,2,1,7,3,4]=>[[1,5,7],[2,6],[3],[4]]=>11
[6,5,2,1,7,4,3]=>[[1,5],[2,6],[3,7],[4]]=>12
[6,5,2,3,1,4,7]=>[[1,4,6,7],[2],[3],[5]]=>12
[6,5,2,3,1,7,4]=>[[1,4,6],[2,7],[3],[5]]=>13
[6,5,2,3,4,1,7]=>[[1,4,5,7],[2],[3],[6]]=>11
[6,5,2,3,4,7,1]=>[[1,4,5,6],[2],[3],[7]]=>10
[6,5,2,3,7,1,4]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[6,5,2,4,1,7,3]=>[[1,4,6],[2,7],[3],[5]]=>13
[6,5,2,4,3,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>15
[6,5,2,4,3,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>16
[6,5,2,4,7,1,3]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[6,5,2,7,1,4,3]=>[[1,4],[2,6],[3,7],[5]]=>15
[6,5,2,7,3,1,4]=>[[1,4,7],[2,5],[3],[6]]=>12
[6,5,2,7,3,4,1]=>[[1,4,6],[2,5],[3],[7]]=>13
[6,5,2,7,4,1,3]=>[[1,4],[2,5],[3,7],[6]]=>14
[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]]=>9
[6,5,3,1,2,7,4]=>[[1,5,6],[2,7],[3],[4]]=>10
[6,5,3,1,4,2,7]=>[[1,5,7],[2,6],[3],[4]]=>11
[6,5,3,1,4,7,2]=>[[1,5,6],[2,7],[3],[4]]=>10
[6,5,3,1,7,2,4]=>[[1,5,7],[2,6],[3],[4]]=>11
[6,5,3,1,7,4,2]=>[[1,5],[2,6],[3,7],[4]]=>12
[6,5,3,2,1,4,7]=>[[1,6,7],[2],[3],[4],[5]]=>12
[6,5,3,2,1,7,4]=>[[1,6],[2,7],[3],[4],[5]]=>13
[6,5,3,2,4,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>14
[6,5,3,2,4,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>13
[6,5,3,2,7,1,4]=>[[1,5],[2,7],[3],[4],[6]]=>15
[6,5,3,2,7,4,1]=>[[1,5],[2,6],[3],[4],[7]]=>14
[6,5,3,4,1,2,7]=>[[1,4,7],[2,6],[3],[5]]=>14
[6,5,3,4,1,7,2]=>[[1,4,6],[2,7],[3],[5]]=>13
[6,5,3,4,2,1,7]=>[[1,4,7],[2],[3],[5],[6]]=>15
[6,5,3,4,2,7,1]=>[[1,4,6],[2],[3],[5],[7]]=>16
[6,5,3,4,7,1,2]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[6,5,3,7,1,4,2]=>[[1,4],[2,6],[3,7],[5]]=>15
[6,5,3,7,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>16
[6,5,3,7,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>17
[6,5,3,7,4,1,2]=>[[1,4],[2,5],[3,7],[6]]=>14
[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]]=>9
[6,5,4,1,2,7,3]=>[[1,5,6],[2,7],[3],[4]]=>10
[6,5,4,1,3,2,7]=>[[1,5,7],[2],[3],[4],[6]]=>14
[6,5,4,1,3,7,2]=>[[1,5,6],[2],[3],[4],[7]]=>13
[6,5,4,1,7,2,3]=>[[1,5,7],[2,6],[3],[4]]=>11
[6,5,4,1,7,3,2]=>[[1,5],[2,6],[3],[4],[7]]=>14
[6,5,4,2,1,3,7]=>[[1,6,7],[2],[3],[4],[5]]=>12
[6,5,4,2,1,7,3]=>[[1,6],[2,7],[3],[4],[5]]=>13
[6,5,4,2,3,1,7]=>[[1,5,7],[2],[3],[4],[6]]=>14
[6,5,4,2,3,7,1]=>[[1,5,6],[2],[3],[4],[7]]=>13
[6,5,4,2,7,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>15
[6,5,4,2,7,3,1]=>[[1,5],[2,6],[3],[4],[7]]=>14
[6,5,4,3,1,2,7]=>[[1,6,7],[2],[3],[4],[5]]=>12
[6,5,4,3,1,7,2]=>[[1,6],[2,7],[3],[4],[5]]=>13
[6,5,4,3,2,1,7]=>[[1,7],[2],[3],[4],[5],[6]]=>16
[6,5,4,3,2,7,1]=>[[1,6],[2],[3],[4],[5],[7]]=>17
[6,5,4,3,7,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>15
[6,5,4,3,7,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>18
[6,5,4,7,1,2,3]=>[[1,4,7],[2,6],[3],[5]]=>14
[6,5,4,7,1,3,2]=>[[1,4],[2,6],[3],[5],[7]]=>17
[6,5,4,7,2,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>16
[6,5,4,7,2,3,1]=>[[1,4],[2,6],[3],[5],[7]]=>17
[6,5,4,7,3,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>16
[6,5,4,7,3,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>19
[6,5,7,1,2,3,4]=>[[1,3,6,7],[2,5],[4]]=>14
[6,5,7,1,2,4,3]=>[[1,3,6],[2,5],[4],[7]]=>17
[6,5,7,1,3,2,4]=>[[1,3,7],[2,5],[4],[6]]=>16
[6,5,7,1,3,4,2]=>[[1,3,6],[2,5],[4],[7]]=>17
[6,5,7,1,4,2,3]=>[[1,3,7],[2,5],[4],[6]]=>16
[6,5,7,1,4,3,2]=>[[1,3],[2,5],[4],[6],[7]]=>19
[6,5,7,2,1,3,4]=>[[1,3,7],[2,6],[4],[5]]=>15
[6,5,7,2,1,4,3]=>[[1,3],[2,6],[4,7],[5]]=>16
[6,5,7,2,3,1,4]=>[[1,3,7],[2,5],[4],[6]]=>16
[6,5,7,2,3,4,1]=>[[1,3,6],[2,5],[4],[7]]=>17
[6,5,7,2,4,1,3]=>[[1,3],[2,5],[4,7],[6]]=>18
[6,5,7,2,4,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>19
[6,5,7,3,1,2,4]=>[[1,3,7],[2,6],[4],[5]]=>15
[6,5,7,3,1,4,2]=>[[1,3],[2,6],[4,7],[5]]=>16
[6,5,7,3,2,1,4]=>[[1,3],[2,7],[4],[5],[6]]=>17
[6,5,7,3,2,4,1]=>[[1,3],[2,6],[4],[5],[7]]=>18
[6,5,7,3,4,1,2]=>[[1,3],[2,5],[4,7],[6]]=>18
[6,5,7,3,4,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>19
[6,5,7,4,1,2,3]=>[[1,3,7],[2,6],[4],[5]]=>15
[6,5,7,4,1,3,2]=>[[1,3],[2,6],[4],[5],[7]]=>18
[6,5,7,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>17
[6,5,7,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>18
[6,5,7,4,3,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>17
[6,5,7,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>20
[6,7,1,2,3,4,5]=>[[1,2,5,6,7],[3,4]]=>5
[6,7,1,2,3,5,4]=>[[1,2,5,6],[3,4],[7]]=>7
[6,7,1,2,4,3,5]=>[[1,2,5,7],[3,4],[6]]=>8
[6,7,1,2,4,5,3]=>[[1,2,5,6],[3,4],[7]]=>7
[6,7,1,2,5,3,4]=>[[1,2,5,7],[3,4],[6]]=>8
[6,7,1,2,5,4,3]=>[[1,2,5],[3,4],[6],[7]]=>10
[6,7,1,3,2,4,5]=>[[1,2,6,7],[3,4],[5]]=>6
[6,7,1,3,2,5,4]=>[[1,2,6],[3,4],[5,7]]=>8
[6,7,1,3,4,2,5]=>[[1,2,5,7],[3,4],[6]]=>8
[6,7,1,3,4,5,2]=>[[1,2,5,6],[3,4],[7]]=>7
[6,7,1,3,5,2,4]=>[[1,2,5],[3,4],[6,7]]=>9
[6,7,1,3,5,4,2]=>[[1,2,5],[3,4],[6],[7]]=>10
[6,7,1,4,2,3,5]=>[[1,2,6,7],[3,4],[5]]=>6
[6,7,1,4,2,5,3]=>[[1,2,6],[3,4],[5,7]]=>8
[6,7,1,4,3,2,5]=>[[1,2,7],[3,4],[5],[6]]=>8
[6,7,1,4,3,5,2]=>[[1,2,6],[3,4],[5],[7]]=>9
[6,7,1,4,5,2,3]=>[[1,2,5],[3,4],[6,7]]=>9
[6,7,1,4,5,3,2]=>[[1,2,5],[3,4],[6],[7]]=>10
[6,7,1,5,2,3,4]=>[[1,2,6,7],[3,4],[5]]=>6
[6,7,1,5,2,4,3]=>[[1,2,6],[3,4],[5],[7]]=>9
[6,7,1,5,3,2,4]=>[[1,2,7],[3,4],[5],[6]]=>8
[6,7,1,5,3,4,2]=>[[1,2,6],[3,4],[5],[7]]=>9
[6,7,1,5,4,2,3]=>[[1,2,7],[3,4],[5],[6]]=>8
[6,7,1,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7]]=>11
[6,7,2,1,3,4,5]=>[[1,2,6,7],[3,5],[4]]=>9
[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]]=>12
[6,7,2,3,1,4,5]=>[[1,2,6,7],[3,4],[5]]=>6
[6,7,2,3,1,5,4]=>[[1,2,6],[3,4],[5,7]]=>8
[6,7,2,3,4,1,5]=>[[1,2,5,7],[3,4],[6]]=>8
[6,7,2,3,4,5,1]=>[[1,2,5,6],[3,4],[7]]=>7
[6,7,2,3,5,1,4]=>[[1,2,5],[3,4],[6,7]]=>9
[6,7,2,3,5,4,1]=>[[1,2,5],[3,4],[6],[7]]=>10
[6,7,2,4,1,3,5]=>[[1,2,7],[3,4],[5,6]]=>7
[6,7,2,4,1,5,3]=>[[1,2,6],[3,4],[5,7]]=>8
[6,7,2,4,3,1,5]=>[[1,2,7],[3,4],[5],[6]]=>8
[6,7,2,4,3,5,1]=>[[1,2,6],[3,4],[5],[7]]=>9
[6,7,2,4,5,1,3]=>[[1,2,5],[3,4],[6,7]]=>9
[6,7,2,4,5,3,1]=>[[1,2,5],[3,4],[6],[7]]=>10
[6,7,2,5,1,3,4]=>[[1,2,7],[3,4],[5,6]]=>7
[6,7,2,5,1,4,3]=>[[1,2],[3,4],[5,6],[7]]=>9
[6,7,2,5,3,1,4]=>[[1,2,7],[3,4],[5],[6]]=>8
[6,7,2,5,3,4,1]=>[[1,2,6],[3,4],[5],[7]]=>9
[6,7,2,5,4,1,3]=>[[1,2],[3,4],[5,7],[6]]=>10
[6,7,2,5,4,3,1]=>[[1,2],[3,4],[5],[6],[7]]=>11
[6,7,3,1,2,4,5]=>[[1,2,6,7],[3,5],[4]]=>9
[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]]=>12
[6,7,3,2,1,4,5]=>[[1,2,7],[3,6],[4],[5]]=>10
[6,7,3,2,1,5,4]=>[[1,2],[3,6],[4,7],[5]]=>11
[6,7,3,2,4,1,5]=>[[1,2,7],[3,5],[4],[6]]=>11
[6,7,3,2,4,5,1]=>[[1,2,6],[3,5],[4],[7]]=>12
[6,7,3,2,5,1,4]=>[[1,2],[3,5],[4,7],[6]]=>13
[6,7,3,2,5,4,1]=>[[1,2],[3,5],[4,6],[7]]=>12
[6,7,3,4,1,2,5]=>[[1,2,7],[3,4],[5,6]]=>7
[6,7,3,4,1,5,2]=>[[1,2,6],[3,4],[5,7]]=>8
[6,7,3,4,2,1,5]=>[[1,2,7],[3,4],[5],[6]]=>8
[6,7,3,4,2,5,1]=>[[1,2,6],[3,4],[5],[7]]=>9
[6,7,3,4,5,1,2]=>[[1,2,5],[3,4],[6,7]]=>9
[6,7,3,4,5,2,1]=>[[1,2,5],[3,4],[6],[7]]=>10
[6,7,3,5,1,2,4]=>[[1,2,7],[3,4],[5,6]]=>7
[6,7,3,5,1,4,2]=>[[1,2],[3,4],[5,6],[7]]=>9
[6,7,3,5,2,1,4]=>[[1,2],[3,4],[5,7],[6]]=>10
[6,7,3,5,2,4,1]=>[[1,2],[3,4],[5,6],[7]]=>9
[6,7,3,5,4,1,2]=>[[1,2],[3,4],[5,7],[6]]=>10
[6,7,3,5,4,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>11
[6,7,4,1,2,3,5]=>[[1,2,6,7],[3,5],[4]]=>9
[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]]=>11
[6,7,4,1,3,5,2]=>[[1,2,6],[3,5],[4],[7]]=>12
[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]]=>12
[6,7,4,2,1,3,5]=>[[1,2,7],[3,6],[4],[5]]=>10
[6,7,4,2,1,5,3]=>[[1,2],[3,6],[4,7],[5]]=>11
[6,7,4,2,3,1,5]=>[[1,2,7],[3,5],[4],[6]]=>11
[6,7,4,2,3,5,1]=>[[1,2,6],[3,5],[4],[7]]=>12
[6,7,4,2,5,1,3]=>[[1,2],[3,5],[4,7],[6]]=>13
[6,7,4,2,5,3,1]=>[[1,2],[3,5],[4,6],[7]]=>12
[6,7,4,3,1,2,5]=>[[1,2,7],[3,6],[4],[5]]=>10
[6,7,4,3,1,5,2]=>[[1,2],[3,6],[4,7],[5]]=>11
[6,7,4,3,2,1,5]=>[[1,2],[3,7],[4],[5],[6]]=>12
[6,7,4,3,2,5,1]=>[[1,2],[3,6],[4],[5],[7]]=>13
[6,7,4,3,5,1,2]=>[[1,2],[3,5],[4,7],[6]]=>13
[6,7,4,3,5,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>14
[6,7,4,5,1,2,3]=>[[1,2,7],[3,4],[5,6]]=>7
[6,7,4,5,1,3,2]=>[[1,2],[3,4],[5,6],[7]]=>9
[6,7,4,5,2,1,3]=>[[1,2],[3,4],[5,7],[6]]=>10
[6,7,4,5,2,3,1]=>[[1,2],[3,4],[5,6],[7]]=>9
[6,7,4,5,3,1,2]=>[[1,2],[3,4],[5,7],[6]]=>10
[6,7,4,5,3,2,1]=>[[1,2],[3,4],[5],[6],[7]]=>11
[6,7,5,1,2,3,4]=>[[1,2,6,7],[3,5],[4]]=>9
[6,7,5,1,2,4,3]=>[[1,2,6],[3,5],[4],[7]]=>12
[6,7,5,1,3,2,4]=>[[1,2,7],[3,5],[4],[6]]=>11
[6,7,5,1,3,4,2]=>[[1,2,6],[3,5],[4],[7]]=>12
[6,7,5,1,4,2,3]=>[[1,2,7],[3,5],[4],[6]]=>11
[6,7,5,1,4,3,2]=>[[1,2],[3,5],[4],[6],[7]]=>14
[6,7,5,2,1,3,4]=>[[1,2,7],[3,6],[4],[5]]=>10
[6,7,5,2,1,4,3]=>[[1,2],[3,6],[4,7],[5]]=>11
[6,7,5,2,3,1,4]=>[[1,2,7],[3,5],[4],[6]]=>11
[6,7,5,2,3,4,1]=>[[1,2,6],[3,5],[4],[7]]=>12
[6,7,5,2,4,1,3]=>[[1,2],[3,5],[4,7],[6]]=>13
[6,7,5,2,4,3,1]=>[[1,2],[3,5],[4],[6],[7]]=>14
[6,7,5,3,1,2,4]=>[[1,2,7],[3,6],[4],[5]]=>10
[6,7,5,3,1,4,2]=>[[1,2],[3,6],[4,7],[5]]=>11
[6,7,5,3,2,1,4]=>[[1,2],[3,7],[4],[5],[6]]=>12
[6,7,5,3,2,4,1]=>[[1,2],[3,6],[4],[5],[7]]=>13
[6,7,5,3,4,1,2]=>[[1,2],[3,5],[4,7],[6]]=>13
[6,7,5,3,4,2,1]=>[[1,2],[3,5],[4],[6],[7]]=>14
[6,7,5,4,1,2,3]=>[[1,2,7],[3,6],[4],[5]]=>10
[6,7,5,4,1,3,2]=>[[1,2],[3,6],[4],[5],[7]]=>13
[6,7,5,4,2,1,3]=>[[1,2],[3,7],[4],[5],[6]]=>12
[6,7,5,4,2,3,1]=>[[1,2],[3,6],[4],[5],[7]]=>13
[6,7,5,4,3,1,2]=>[[1,2],[3,7],[4],[5],[6]]=>12
[6,7,5,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7]]=>15
[7,1,2,3,4,5,6]=>[[1,3,4,5,6,7],[2]]=>6
[7,1,2,3,4,6,5]=>[[1,3,4,5,6],[2],[7]]=>8
[7,1,2,3,5,4,6]=>[[1,3,4,5,7],[2],[6]]=>9
[7,1,2,3,5,6,4]=>[[1,3,4,5,6],[2],[7]]=>8
[7,1,2,3,6,4,5]=>[[1,3,4,5,7],[2],[6]]=>9
[7,1,2,3,6,5,4]=>[[1,3,4,5],[2],[6],[7]]=>11
[7,1,2,4,3,5,6]=>[[1,3,4,6,7],[2],[5]]=>10
[7,1,2,4,3,6,5]=>[[1,3,4,6],[2,7],[5]]=>11
[7,1,2,4,5,3,6]=>[[1,3,4,5,7],[2],[6]]=>9
[7,1,2,4,5,6,3]=>[[1,3,4,5,6],[2],[7]]=>8
[7,1,2,4,6,3,5]=>[[1,3,4,5],[2,7],[6]]=>10
[7,1,2,4,6,5,3]=>[[1,3,4,5],[2],[6],[7]]=>11
[7,1,2,5,3,4,6]=>[[1,3,4,6,7],[2],[5]]=>10
[7,1,2,5,3,6,4]=>[[1,3,4,6],[2,7],[5]]=>11
[7,1,2,5,4,3,6]=>[[1,3,4,7],[2],[5],[6]]=>12
[7,1,2,5,4,6,3]=>[[1,3,4,6],[2],[5],[7]]=>13
[7,1,2,5,6,3,4]=>[[1,3,4,5],[2,7],[6]]=>10
[7,1,2,5,6,4,3]=>[[1,3,4,5],[2],[6],[7]]=>11
[7,1,2,6,3,4,5]=>[[1,3,4,6,7],[2],[5]]=>10
[7,1,2,6,3,5,4]=>[[1,3,4,6],[2],[5],[7]]=>13
[7,1,2,6,4,3,5]=>[[1,3,4,7],[2],[5],[6]]=>12
[7,1,2,6,4,5,3]=>[[1,3,4,6],[2],[5],[7]]=>13
[7,1,2,6,5,3,4]=>[[1,3,4,7],[2],[5],[6]]=>12
[7,1,2,6,5,4,3]=>[[1,3,4],[2],[5],[6],[7]]=>15
[7,1,3,2,4,5,6]=>[[1,3,5,6,7],[2],[4]]=>11
[7,1,3,2,4,6,5]=>[[1,3,5,6],[2,7],[4]]=>12
[7,1,3,2,5,4,6]=>[[1,3,5,7],[2,6],[4]]=>13
[7,1,3,2,5,6,4]=>[[1,3,5,6],[2,7],[4]]=>12
[7,1,3,2,6,4,5]=>[[1,3,5,7],[2,6],[4]]=>13
[7,1,3,2,6,5,4]=>[[1,3,5],[2,6],[4],[7]]=>15
[7,1,3,4,2,5,6]=>[[1,3,4,6,7],[2],[5]]=>10
[7,1,3,4,2,6,5]=>[[1,3,4,6],[2,7],[5]]=>11
[7,1,3,4,5,2,6]=>[[1,3,4,5,7],[2],[6]]=>9
[7,1,3,4,5,6,2]=>[[1,3,4,5,6],[2],[7]]=>8
[7,1,3,4,6,2,5]=>[[1,3,4,5],[2,7],[6]]=>10
[7,1,3,4,6,5,2]=>[[1,3,4,5],[2],[6],[7]]=>11
[7,1,3,5,2,4,6]=>[[1,3,4,7],[2,6],[5]]=>12
[7,1,3,5,2,6,4]=>[[1,3,4,6],[2,7],[5]]=>11
[7,1,3,5,4,2,6]=>[[1,3,4,7],[2],[5],[6]]=>12
[7,1,3,5,4,6,2]=>[[1,3,4,6],[2],[5],[7]]=>13
[7,1,3,5,6,2,4]=>[[1,3,4,5],[2,7],[6]]=>10
[7,1,3,5,6,4,2]=>[[1,3,4,5],[2],[6],[7]]=>11
[7,1,3,6,2,4,5]=>[[1,3,4,7],[2,6],[5]]=>12
[7,1,3,6,2,5,4]=>[[1,3,4],[2,6],[5],[7]]=>14
[7,1,3,6,4,2,5]=>[[1,3,4,7],[2],[5],[6]]=>12
[7,1,3,6,4,5,2]=>[[1,3,4,6],[2],[5],[7]]=>13
[7,1,3,6,5,2,4]=>[[1,3,4],[2,7],[5],[6]]=>13
[7,1,3,6,5,4,2]=>[[1,3,4],[2],[5],[6],[7]]=>15
[7,1,4,2,3,5,6]=>[[1,3,5,6,7],[2],[4]]=>11
[7,1,4,2,3,6,5]=>[[1,3,5,6],[2,7],[4]]=>12
[7,1,4,2,5,3,6]=>[[1,3,5,7],[2,6],[4]]=>13
[7,1,4,2,5,6,3]=>[[1,3,5,6],[2,7],[4]]=>12
[7,1,4,2,6,3,5]=>[[1,3,5,7],[2,6],[4]]=>13
[7,1,4,2,6,5,3]=>[[1,3,5],[2,6],[4],[7]]=>15
[7,1,4,3,2,5,6]=>[[1,3,6,7],[2],[4],[5]]=>13
[7,1,4,3,2,6,5]=>[[1,3,6],[2,7],[4],[5]]=>14
[7,1,4,3,5,2,6]=>[[1,3,5,7],[2],[4],[6]]=>15
[7,1,4,3,5,6,2]=>[[1,3,5,6],[2],[4],[7]]=>14
[7,1,4,3,6,2,5]=>[[1,3,5],[2,7],[4],[6]]=>16
[7,1,4,3,6,5,2]=>[[1,3,5],[2,6],[4],[7]]=>15
[7,1,4,5,2,3,6]=>[[1,3,4,7],[2,6],[5]]=>12
[7,1,4,5,2,6,3]=>[[1,3,4,6],[2,7],[5]]=>11
[7,1,4,5,3,2,6]=>[[1,3,4,7],[2],[5],[6]]=>12
[7,1,4,5,3,6,2]=>[[1,3,4,6],[2],[5],[7]]=>13
[7,1,4,5,6,2,3]=>[[1,3,4,5],[2,7],[6]]=>10
[7,1,4,5,6,3,2]=>[[1,3,4,5],[2],[6],[7]]=>11
[7,1,4,6,2,3,5]=>[[1,3,4,7],[2,6],[5]]=>12
[7,1,4,6,2,5,3]=>[[1,3,4],[2,6],[5],[7]]=>14
[7,1,4,6,3,2,5]=>[[1,3,4],[2,7],[5],[6]]=>13
[7,1,4,6,3,5,2]=>[[1,3,4],[2,6],[5],[7]]=>14
[7,1,4,6,5,2,3]=>[[1,3,4],[2,7],[5],[6]]=>13
[7,1,4,6,5,3,2]=>[[1,3,4],[2],[5],[6],[7]]=>15
[7,1,5,2,3,4,6]=>[[1,3,5,6,7],[2],[4]]=>11
[7,1,5,2,3,6,4]=>[[1,3,5,6],[2,7],[4]]=>12
[7,1,5,2,4,3,6]=>[[1,3,5,7],[2],[4],[6]]=>15
[7,1,5,2,4,6,3]=>[[1,3,5,6],[2],[4],[7]]=>14
[7,1,5,2,6,3,4]=>[[1,3,5,7],[2,6],[4]]=>13
[7,1,5,2,6,4,3]=>[[1,3,5],[2,6],[4],[7]]=>15
[7,1,5,3,2,4,6]=>[[1,3,6,7],[2],[4],[5]]=>13
[7,1,5,3,2,6,4]=>[[1,3,6],[2,7],[4],[5]]=>14
[7,1,5,3,4,2,6]=>[[1,3,5,7],[2],[4],[6]]=>15
[7,1,5,3,4,6,2]=>[[1,3,5,6],[2],[4],[7]]=>14
[7,1,5,3,6,2,4]=>[[1,3,5],[2,7],[4],[6]]=>16
[7,1,5,3,6,4,2]=>[[1,3,5],[2,6],[4],[7]]=>15
[7,1,5,4,2,3,6]=>[[1,3,6,7],[2],[4],[5]]=>13
[7,1,5,4,2,6,3]=>[[1,3,6],[2,7],[4],[5]]=>14
[7,1,5,4,3,2,6]=>[[1,3,7],[2],[4],[5],[6]]=>16
[7,1,5,4,3,6,2]=>[[1,3,6],[2],[4],[5],[7]]=>17
[7,1,5,4,6,2,3]=>[[1,3,5],[2,7],[4],[6]]=>16
[7,1,5,4,6,3,2]=>[[1,3,5],[2],[4],[6],[7]]=>18
[7,1,5,6,2,3,4]=>[[1,3,4,7],[2,6],[5]]=>12
[7,1,5,6,2,4,3]=>[[1,3,4],[2,6],[5],[7]]=>14
[7,1,5,6,3,2,4]=>[[1,3,4],[2,7],[5],[6]]=>13
[7,1,5,6,3,4,2]=>[[1,3,4],[2,6],[5],[7]]=>14
[7,1,5,6,4,2,3]=>[[1,3,4],[2,7],[5],[6]]=>13
[7,1,5,6,4,3,2]=>[[1,3,4],[2],[5],[6],[7]]=>15
[7,1,6,2,3,4,5]=>[[1,3,5,6,7],[2],[4]]=>11
[7,1,6,2,3,5,4]=>[[1,3,5,6],[2],[4],[7]]=>14
[7,1,6,2,4,3,5]=>[[1,3,5,7],[2],[4],[6]]=>15
[7,1,6,2,4,5,3]=>[[1,3,5,6],[2],[4],[7]]=>14
[7,1,6,2,5,3,4]=>[[1,3,5,7],[2],[4],[6]]=>15
[7,1,6,2,5,4,3]=>[[1,3,5],[2],[4],[6],[7]]=>18
[7,1,6,3,2,4,5]=>[[1,3,6,7],[2],[4],[5]]=>13
[7,1,6,3,2,5,4]=>[[1,3,6],[2,7],[4],[5]]=>14
[7,1,6,3,4,2,5]=>[[1,3,5,7],[2],[4],[6]]=>15
[7,1,6,3,4,5,2]=>[[1,3,5,6],[2],[4],[7]]=>14
[7,1,6,3,5,2,4]=>[[1,3,5],[2,7],[4],[6]]=>16
[7,1,6,3,5,4,2]=>[[1,3,5],[2],[4],[6],[7]]=>18
[7,1,6,4,2,3,5]=>[[1,3,6,7],[2],[4],[5]]=>13
[7,1,6,4,2,5,3]=>[[1,3,6],[2,7],[4],[5]]=>14
[7,1,6,4,3,2,5]=>[[1,3,7],[2],[4],[5],[6]]=>16
[7,1,6,4,3,5,2]=>[[1,3,6],[2],[4],[5],[7]]=>17
[7,1,6,4,5,2,3]=>[[1,3,5],[2,7],[4],[6]]=>16
[7,1,6,4,5,3,2]=>[[1,3,5],[2],[4],[6],[7]]=>18
[7,1,6,5,2,3,4]=>[[1,3,6,7],[2],[4],[5]]=>13
[7,1,6,5,2,4,3]=>[[1,3,6],[2],[4],[5],[7]]=>17
[7,1,6,5,3,2,4]=>[[1,3,7],[2],[4],[5],[6]]=>16
[7,1,6,5,3,4,2]=>[[1,3,6],[2],[4],[5],[7]]=>17
[7,1,6,5,4,2,3]=>[[1,3,7],[2],[4],[5],[6]]=>16
[7,1,6,5,4,3,2]=>[[1,3],[2],[4],[5],[6],[7]]=>20
[7,2,1,3,4,5,6]=>[[1,4,5,6,7],[2],[3]]=>7
[7,2,1,3,4,6,5]=>[[1,4,5,6],[2,7],[3]]=>8
[7,2,1,3,5,4,6]=>[[1,4,5,7],[2,6],[3]]=>9
[7,2,1,3,5,6,4]=>[[1,4,5,6],[2,7],[3]]=>8
[7,2,1,3,6,4,5]=>[[1,4,5,7],[2,6],[3]]=>9
[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]]=>10
[7,2,1,4,3,6,5]=>[[1,4,6],[2,5,7],[3]]=>11
[7,2,1,4,5,3,6]=>[[1,4,5,7],[2,6],[3]]=>9
[7,2,1,4,5,6,3]=>[[1,4,5,6],[2,7],[3]]=>8
[7,2,1,4,6,3,5]=>[[1,4,5],[2,6,7],[3]]=>9
[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]]=>10
[7,2,1,5,3,6,4]=>[[1,4,6],[2,5,7],[3]]=>11
[7,2,1,5,4,3,6]=>[[1,4,7],[2,5],[3],[6]]=>12
[7,2,1,5,4,6,3]=>[[1,4,6],[2,5],[3],[7]]=>13
[7,2,1,5,6,3,4]=>[[1,4,5],[2,6,7],[3]]=>9
[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]]=>10
[7,2,1,6,3,5,4]=>[[1,4,6],[2,5],[3],[7]]=>13
[7,2,1,6,4,3,5]=>[[1,4,7],[2,5],[3],[6]]=>12
[7,2,1,6,4,5,3]=>[[1,4,6],[2,5],[3],[7]]=>13
[7,2,1,6,5,3,4]=>[[1,4,7],[2,5],[3],[6]]=>12
[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]]=>11
[7,2,3,1,4,6,5]=>[[1,3,5,6],[2,7],[4]]=>12
[7,2,3,1,5,4,6]=>[[1,3,5,7],[2,6],[4]]=>13
[7,2,3,1,5,6,4]=>[[1,3,5,6],[2,7],[4]]=>12
[7,2,3,1,6,4,5]=>[[1,3,5,7],[2,6],[4]]=>13
[7,2,3,1,6,5,4]=>[[1,3,5],[2,6],[4],[7]]=>15
[7,2,3,4,1,5,6]=>[[1,3,4,6,7],[2],[5]]=>10
[7,2,3,4,1,6,5]=>[[1,3,4,6],[2,7],[5]]=>11
[7,2,3,4,5,1,6]=>[[1,3,4,5,7],[2],[6]]=>9
[7,2,3,4,5,6,1]=>[[1,3,4,5,6],[2],[7]]=>8
[7,2,3,4,6,1,5]=>[[1,3,4,5],[2,7],[6]]=>10
[7,2,3,4,6,5,1]=>[[1,3,4,5],[2],[6],[7]]=>11
[7,2,3,5,1,4,6]=>[[1,3,4,7],[2,6],[5]]=>12
[7,2,3,5,1,6,4]=>[[1,3,4,6],[2,7],[5]]=>11
[7,2,3,5,4,1,6]=>[[1,3,4,7],[2],[5],[6]]=>12
[7,2,3,5,4,6,1]=>[[1,3,4,6],[2],[5],[7]]=>13
[7,2,3,5,6,1,4]=>[[1,3,4,5],[2,7],[6]]=>10
[7,2,3,5,6,4,1]=>[[1,3,4,5],[2],[6],[7]]=>11
[7,2,3,6,1,4,5]=>[[1,3,4,7],[2,6],[5]]=>12
[7,2,3,6,1,5,4]=>[[1,3,4],[2,6],[5],[7]]=>14
[7,2,3,6,4,1,5]=>[[1,3,4,7],[2],[5],[6]]=>12
[7,2,3,6,4,5,1]=>[[1,3,4,6],[2],[5],[7]]=>13
[7,2,3,6,5,1,4]=>[[1,3,4],[2,7],[5],[6]]=>13
[7,2,3,6,5,4,1]=>[[1,3,4],[2],[5],[6],[7]]=>15
[7,2,4,1,3,5,6]=>[[1,3,6,7],[2,5],[4]]=>14
[7,2,4,1,3,6,5]=>[[1,3,6],[2,5,7],[4]]=>15
[7,2,4,1,5,3,6]=>[[1,3,5,7],[2,6],[4]]=>13
[7,2,4,1,5,6,3]=>[[1,3,5,6],[2,7],[4]]=>12
[7,2,4,1,6,3,5]=>[[1,3,5],[2,6,7],[4]]=>13
[7,2,4,1,6,5,3]=>[[1,3,5],[2,6],[4],[7]]=>15
[7,2,4,3,1,5,6]=>[[1,3,6,7],[2],[4],[5]]=>13
[7,2,4,3,1,6,5]=>[[1,3,6],[2,7],[4],[5]]=>14
[7,2,4,3,5,1,6]=>[[1,3,5,7],[2],[4],[6]]=>15
[7,2,4,3,5,6,1]=>[[1,3,5,6],[2],[4],[7]]=>14
[7,2,4,3,6,1,5]=>[[1,3,5],[2,7],[4],[6]]=>16
[7,2,4,3,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>15
[7,2,4,5,1,3,6]=>[[1,3,4,7],[2,6],[5]]=>12
[7,2,4,5,1,6,3]=>[[1,3,4,6],[2,7],[5]]=>11
[7,2,4,5,3,1,6]=>[[1,3,4,7],[2],[5],[6]]=>12
[7,2,4,5,3,6,1]=>[[1,3,4,6],[2],[5],[7]]=>13
[7,2,4,5,6,1,3]=>[[1,3,4,5],[2,7],[6]]=>10
[7,2,4,5,6,3,1]=>[[1,3,4,5],[2],[6],[7]]=>11
[7,2,4,6,1,3,5]=>[[1,3,4],[2,6,7],[5]]=>12
[7,2,4,6,1,5,3]=>[[1,3,4],[2,6],[5],[7]]=>14
[7,2,4,6,3,1,5]=>[[1,3,4],[2,7],[5],[6]]=>13
[7,2,4,6,3,5,1]=>[[1,3,4],[2,6],[5],[7]]=>14
[7,2,4,6,5,1,3]=>[[1,3,4],[2,7],[5],[6]]=>13
[7,2,4,6,5,3,1]=>[[1,3,4],[2],[5],[6],[7]]=>15
[7,2,5,1,3,4,6]=>[[1,3,6,7],[2,5],[4]]=>14
[7,2,5,1,3,6,4]=>[[1,3,6],[2,5,7],[4]]=>15
[7,2,5,1,4,3,6]=>[[1,3,7],[2,5],[4],[6]]=>16
[7,2,5,1,4,6,3]=>[[1,3,6],[2,5],[4],[7]]=>17
[7,2,5,1,6,3,4]=>[[1,3,5],[2,6,7],[4]]=>13
[7,2,5,1,6,4,3]=>[[1,3,5],[2,6],[4],[7]]=>15
[7,2,5,3,1,4,6]=>[[1,3,6,7],[2],[4],[5]]=>13
[7,2,5,3,1,6,4]=>[[1,3,6],[2,7],[4],[5]]=>14
[7,2,5,3,4,1,6]=>[[1,3,5,7],[2],[4],[6]]=>15
[7,2,5,3,4,6,1]=>[[1,3,5,6],[2],[4],[7]]=>14
[7,2,5,3,6,1,4]=>[[1,3,5],[2,7],[4],[6]]=>16
[7,2,5,3,6,4,1]=>[[1,3,5],[2,6],[4],[7]]=>15
[7,2,5,4,1,3,6]=>[[1,3,7],[2,6],[4],[5]]=>15
[7,2,5,4,1,6,3]=>[[1,3,6],[2,7],[4],[5]]=>14
[7,2,5,4,3,1,6]=>[[1,3,7],[2],[4],[5],[6]]=>16
[7,2,5,4,3,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>17
[7,2,5,4,6,1,3]=>[[1,3,5],[2,7],[4],[6]]=>16
[7,2,5,4,6,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>18
[7,2,5,6,1,3,4]=>[[1,3,4],[2,6,7],[5]]=>12
[7,2,5,6,1,4,3]=>[[1,3,4],[2,6],[5],[7]]=>14
[7,2,5,6,3,1,4]=>[[1,3,4],[2,7],[5],[6]]=>13
[7,2,5,6,3,4,1]=>[[1,3,4],[2,6],[5],[7]]=>14
[7,2,5,6,4,1,3]=>[[1,3,4],[2,7],[5],[6]]=>13
[7,2,5,6,4,3,1]=>[[1,3,4],[2],[5],[6],[7]]=>15
[7,2,6,1,3,4,5]=>[[1,3,6,7],[2,5],[4]]=>14
[7,2,6,1,3,5,4]=>[[1,3,6],[2,5],[4],[7]]=>17
[7,2,6,1,4,3,5]=>[[1,3,7],[2,5],[4],[6]]=>16
[7,2,6,1,4,5,3]=>[[1,3,6],[2,5],[4],[7]]=>17
[7,2,6,1,5,3,4]=>[[1,3,7],[2,5],[4],[6]]=>16
[7,2,6,1,5,4,3]=>[[1,3],[2,5],[4],[6],[7]]=>19
[7,2,6,3,1,4,5]=>[[1,3,6,7],[2],[4],[5]]=>13
[7,2,6,3,1,5,4]=>[[1,3,6],[2,7],[4],[5]]=>14
[7,2,6,3,4,1,5]=>[[1,3,5,7],[2],[4],[6]]=>15
[7,2,6,3,4,5,1]=>[[1,3,5,6],[2],[4],[7]]=>14
[7,2,6,3,5,1,4]=>[[1,3,5],[2,7],[4],[6]]=>16
[7,2,6,3,5,4,1]=>[[1,3,5],[2],[4],[6],[7]]=>18
[7,2,6,4,1,3,5]=>[[1,3,7],[2,6],[4],[5]]=>15
[7,2,6,4,1,5,3]=>[[1,3,6],[2,7],[4],[5]]=>14
[7,2,6,4,3,1,5]=>[[1,3,7],[2],[4],[5],[6]]=>16
[7,2,6,4,3,5,1]=>[[1,3,6],[2],[4],[5],[7]]=>17
[7,2,6,4,5,1,3]=>[[1,3,5],[2,7],[4],[6]]=>16
[7,2,6,4,5,3,1]=>[[1,3,5],[2],[4],[6],[7]]=>18
[7,2,6,5,1,3,4]=>[[1,3,7],[2,6],[4],[5]]=>15
[7,2,6,5,1,4,3]=>[[1,3],[2,6],[4],[5],[7]]=>18
[7,2,6,5,3,1,4]=>[[1,3,7],[2],[4],[5],[6]]=>16
[7,2,6,5,3,4,1]=>[[1,3,6],[2],[4],[5],[7]]=>17
[7,2,6,5,4,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>17
[7,2,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7]]=>20
[7,3,1,2,4,5,6]=>[[1,4,5,6,7],[2],[3]]=>7
[7,3,1,2,4,6,5]=>[[1,4,5,6],[2,7],[3]]=>8
[7,3,1,2,5,4,6]=>[[1,4,5,7],[2,6],[3]]=>9
[7,3,1,2,5,6,4]=>[[1,4,5,6],[2,7],[3]]=>8
[7,3,1,2,6,4,5]=>[[1,4,5,7],[2,6],[3]]=>9
[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]]=>10
[7,3,1,4,2,6,5]=>[[1,4,6],[2,5,7],[3]]=>11
[7,3,1,4,5,2,6]=>[[1,4,5,7],[2,6],[3]]=>9
[7,3,1,4,5,6,2]=>[[1,4,5,6],[2,7],[3]]=>8
[7,3,1,4,6,2,5]=>[[1,4,5],[2,6,7],[3]]=>9
[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]]=>10
[7,3,1,5,2,6,4]=>[[1,4,6],[2,5,7],[3]]=>11
[7,3,1,5,4,2,6]=>[[1,4,7],[2,5],[3],[6]]=>12
[7,3,1,5,4,6,2]=>[[1,4,6],[2,5],[3],[7]]=>13
[7,3,1,5,6,2,4]=>[[1,4,5],[2,6,7],[3]]=>9
[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]]=>10
[7,3,1,6,2,5,4]=>[[1,4,6],[2,5],[3],[7]]=>13
[7,3,1,6,4,2,5]=>[[1,4,7],[2,5],[3],[6]]=>12
[7,3,1,6,4,5,2]=>[[1,4,6],[2,5],[3],[7]]=>13
[7,3,1,6,5,2,4]=>[[1,4,7],[2,5],[3],[6]]=>12
[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]]=>9
[7,3,2,1,4,6,5]=>[[1,5,6],[2,7],[3],[4]]=>10
[7,3,2,1,5,4,6]=>[[1,5,7],[2,6],[3],[4]]=>11
[7,3,2,1,5,6,4]=>[[1,5,6],[2,7],[3],[4]]=>10
[7,3,2,1,6,4,5]=>[[1,5,7],[2,6],[3],[4]]=>11
[7,3,2,1,6,5,4]=>[[1,5],[2,6],[3,7],[4]]=>12
[7,3,2,4,1,5,6]=>[[1,4,6,7],[2],[3],[5]]=>12
[7,3,2,4,1,6,5]=>[[1,4,6],[2,7],[3],[5]]=>13
[7,3,2,4,5,1,6]=>[[1,4,5,7],[2],[3],[6]]=>11
[7,3,2,4,5,6,1]=>[[1,4,5,6],[2],[3],[7]]=>10
[7,3,2,4,6,1,5]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[7,3,2,5,1,6,4]=>[[1,4,6],[2,7],[3],[5]]=>13
[7,3,2,5,4,1,6]=>[[1,4,7],[2,5],[3],[6]]=>12
[7,3,2,5,4,6,1]=>[[1,4,6],[2,5],[3],[7]]=>13
[7,3,2,5,6,1,4]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[7,3,2,6,1,5,4]=>[[1,4],[2,6],[3,7],[5]]=>15
[7,3,2,6,4,1,5]=>[[1,4,7],[2,5],[3],[6]]=>12
[7,3,2,6,4,5,1]=>[[1,4,6],[2,5],[3],[7]]=>13
[7,3,2,6,5,1,4]=>[[1,4],[2,5],[3,7],[6]]=>14
[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]]=>14
[7,3,4,1,2,6,5]=>[[1,3,6],[2,5,7],[4]]=>15
[7,3,4,1,5,2,6]=>[[1,3,5,7],[2,6],[4]]=>13
[7,3,4,1,5,6,2]=>[[1,3,5,6],[2,7],[4]]=>12
[7,3,4,1,6,2,5]=>[[1,3,5],[2,6,7],[4]]=>13
[7,3,4,1,6,5,2]=>[[1,3,5],[2,6],[4],[7]]=>15
[7,3,4,2,1,5,6]=>[[1,3,6,7],[2],[4],[5]]=>13
[7,3,4,2,1,6,5]=>[[1,3,6],[2,7],[4],[5]]=>14
[7,3,4,2,5,1,6]=>[[1,3,5,7],[2],[4],[6]]=>15
[7,3,4,2,5,6,1]=>[[1,3,5,6],[2],[4],[7]]=>14
[7,3,4,2,6,1,5]=>[[1,3,5],[2,7],[4],[6]]=>16
[7,3,4,2,6,5,1]=>[[1,3,5],[2,6],[4],[7]]=>15
[7,3,4,5,1,2,6]=>[[1,3,4,7],[2,6],[5]]=>12
[7,3,4,5,1,6,2]=>[[1,3,4,6],[2,7],[5]]=>11
[7,3,4,5,2,1,6]=>[[1,3,4,7],[2],[5],[6]]=>12
[7,3,4,5,2,6,1]=>[[1,3,4,6],[2],[5],[7]]=>13
[7,3,4,5,6,1,2]=>[[1,3,4,5],[2,7],[6]]=>10
[7,3,4,5,6,2,1]=>[[1,3,4,5],[2],[6],[7]]=>11
[7,3,4,6,1,2,5]=>[[1,3,4],[2,6,7],[5]]=>12
[7,3,4,6,1,5,2]=>[[1,3,4],[2,6],[5],[7]]=>14
[7,3,4,6,2,1,5]=>[[1,3,4],[2,7],[5],[6]]=>13
[7,3,4,6,2,5,1]=>[[1,3,4],[2,6],[5],[7]]=>14
[7,3,4,6,5,1,2]=>[[1,3,4],[2,7],[5],[6]]=>13
[7,3,4,6,5,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>15
[7,3,5,1,2,4,6]=>[[1,3,6,7],[2,5],[4]]=>14
[7,3,5,1,2,6,4]=>[[1,3,6],[2,5,7],[4]]=>15
[7,3,5,1,4,2,6]=>[[1,3,7],[2,5],[4],[6]]=>16
[7,3,5,1,4,6,2]=>[[1,3,6],[2,5],[4],[7]]=>17
[7,3,5,1,6,2,4]=>[[1,3,5],[2,6,7],[4]]=>13
[7,3,5,1,6,4,2]=>[[1,3,5],[2,6],[4],[7]]=>15
[7,3,5,2,1,4,6]=>[[1,3,7],[2,6],[4],[5]]=>15
[7,3,5,2,1,6,4]=>[[1,3,6],[2,7],[4],[5]]=>14
[7,3,5,2,4,1,6]=>[[1,3,7],[2,5],[4],[6]]=>16
[7,3,5,2,4,6,1]=>[[1,3,6],[2,5],[4],[7]]=>17
[7,3,5,2,6,1,4]=>[[1,3,5],[2,7],[4],[6]]=>16
[7,3,5,2,6,4,1]=>[[1,3,5],[2,6],[4],[7]]=>15
[7,3,5,4,1,2,6]=>[[1,3,7],[2,6],[4],[5]]=>15
[7,3,5,4,1,6,2]=>[[1,3,6],[2,7],[4],[5]]=>14
[7,3,5,4,2,1,6]=>[[1,3,7],[2],[4],[5],[6]]=>16
[7,3,5,4,2,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>17
[7,3,5,4,6,1,2]=>[[1,3,5],[2,7],[4],[6]]=>16
[7,3,5,4,6,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>18
[7,3,5,6,1,2,4]=>[[1,3,4],[2,6,7],[5]]=>12
[7,3,5,6,1,4,2]=>[[1,3,4],[2,6],[5],[7]]=>14
[7,3,5,6,2,1,4]=>[[1,3,4],[2,7],[5],[6]]=>13
[7,3,5,6,2,4,1]=>[[1,3,4],[2,6],[5],[7]]=>14
[7,3,5,6,4,1,2]=>[[1,3,4],[2,7],[5],[6]]=>13
[7,3,5,6,4,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>15
[7,3,6,1,2,4,5]=>[[1,3,6,7],[2,5],[4]]=>14
[7,3,6,1,2,5,4]=>[[1,3,6],[2,5],[4],[7]]=>17
[7,3,6,1,4,2,5]=>[[1,3,7],[2,5],[4],[6]]=>16
[7,3,6,1,4,5,2]=>[[1,3,6],[2,5],[4],[7]]=>17
[7,3,6,1,5,2,4]=>[[1,3,7],[2,5],[4],[6]]=>16
[7,3,6,1,5,4,2]=>[[1,3],[2,5],[4],[6],[7]]=>19
[7,3,6,2,1,4,5]=>[[1,3,7],[2,6],[4],[5]]=>15
[7,3,6,2,1,5,4]=>[[1,3],[2,6],[4,7],[5]]=>16
[7,3,6,2,4,1,5]=>[[1,3,7],[2,5],[4],[6]]=>16
[7,3,6,2,4,5,1]=>[[1,3,6],[2,5],[4],[7]]=>17
[7,3,6,2,5,1,4]=>[[1,3],[2,5],[4,7],[6]]=>18
[7,3,6,2,5,4,1]=>[[1,3],[2,5],[4],[6],[7]]=>19
[7,3,6,4,1,2,5]=>[[1,3,7],[2,6],[4],[5]]=>15
[7,3,6,4,1,5,2]=>[[1,3,6],[2,7],[4],[5]]=>14
[7,3,6,4,2,1,5]=>[[1,3,7],[2],[4],[5],[6]]=>16
[7,3,6,4,2,5,1]=>[[1,3,6],[2],[4],[5],[7]]=>17
[7,3,6,4,5,1,2]=>[[1,3,5],[2,7],[4],[6]]=>16
[7,3,6,4,5,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>18
[7,3,6,5,1,2,4]=>[[1,3,7],[2,6],[4],[5]]=>15
[7,3,6,5,1,4,2]=>[[1,3],[2,6],[4],[5],[7]]=>18
[7,3,6,5,2,1,4]=>[[1,3],[2,7],[4],[5],[6]]=>17
[7,3,6,5,2,4,1]=>[[1,3],[2,6],[4],[5],[7]]=>18
[7,3,6,5,4,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>17
[7,3,6,5,4,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>20
[7,4,1,2,3,5,6]=>[[1,4,5,6,7],[2],[3]]=>7
[7,4,1,2,3,6,5]=>[[1,4,5,6],[2,7],[3]]=>8
[7,4,1,2,5,3,6]=>[[1,4,5,7],[2,6],[3]]=>9
[7,4,1,2,5,6,3]=>[[1,4,5,6],[2,7],[3]]=>8
[7,4,1,2,6,3,5]=>[[1,4,5,7],[2,6],[3]]=>9
[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]]=>12
[7,4,1,3,2,6,5]=>[[1,4,6],[2,7],[3],[5]]=>13
[7,4,1,3,5,2,6]=>[[1,4,5,7],[2],[3],[6]]=>11
[7,4,1,3,5,6,2]=>[[1,4,5,6],[2],[3],[7]]=>10
[7,4,1,3,6,2,5]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>10
[7,4,1,5,2,6,3]=>[[1,4,6],[2,5,7],[3]]=>11
[7,4,1,5,3,2,6]=>[[1,4,7],[2,5],[3],[6]]=>12
[7,4,1,5,3,6,2]=>[[1,4,6],[2,5],[3],[7]]=>13
[7,4,1,5,6,2,3]=>[[1,4,5],[2,6,7],[3]]=>9
[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]]=>10
[7,4,1,6,2,5,3]=>[[1,4,6],[2,5],[3],[7]]=>13
[7,4,1,6,3,2,5]=>[[1,4,7],[2,5],[3],[6]]=>12
[7,4,1,6,3,5,2]=>[[1,4,6],[2,5],[3],[7]]=>13
[7,4,1,6,5,2,3]=>[[1,4,7],[2,5],[3],[6]]=>12
[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]]=>9
[7,4,2,1,3,6,5]=>[[1,5,6],[2,7],[3],[4]]=>10
[7,4,2,1,5,3,6]=>[[1,5,7],[2,6],[3],[4]]=>11
[7,4,2,1,5,6,3]=>[[1,5,6],[2,7],[3],[4]]=>10
[7,4,2,1,6,3,5]=>[[1,5,7],[2,6],[3],[4]]=>11
[7,4,2,1,6,5,3]=>[[1,5],[2,6],[3,7],[4]]=>12
[7,4,2,3,1,5,6]=>[[1,4,6,7],[2],[3],[5]]=>12
[7,4,2,3,1,6,5]=>[[1,4,6],[2,7],[3],[5]]=>13
[7,4,2,3,5,1,6]=>[[1,4,5,7],[2],[3],[6]]=>11
[7,4,2,3,5,6,1]=>[[1,4,5,6],[2],[3],[7]]=>10
[7,4,2,3,6,1,5]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[7,4,2,5,1,6,3]=>[[1,4,6],[2,7],[3],[5]]=>13
[7,4,2,5,3,1,6]=>[[1,4,7],[2,5],[3],[6]]=>12
[7,4,2,5,3,6,1]=>[[1,4,6],[2,5],[3],[7]]=>13
[7,4,2,5,6,1,3]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[7,4,2,6,1,5,3]=>[[1,4],[2,6],[3,7],[5]]=>15
[7,4,2,6,3,1,5]=>[[1,4,7],[2,5],[3],[6]]=>12
[7,4,2,6,3,5,1]=>[[1,4,6],[2,5],[3],[7]]=>13
[7,4,2,6,5,1,3]=>[[1,4],[2,5],[3,7],[6]]=>14
[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]]=>9
[7,4,3,1,2,6,5]=>[[1,5,6],[2,7],[3],[4]]=>10
[7,4,3,1,5,2,6]=>[[1,5,7],[2,6],[3],[4]]=>11
[7,4,3,1,5,6,2]=>[[1,5,6],[2,7],[3],[4]]=>10
[7,4,3,1,6,2,5]=>[[1,5,7],[2,6],[3],[4]]=>11
[7,4,3,1,6,5,2]=>[[1,5],[2,6],[3,7],[4]]=>12
[7,4,3,2,1,5,6]=>[[1,6,7],[2],[3],[4],[5]]=>12
[7,4,3,2,1,6,5]=>[[1,6],[2,7],[3],[4],[5]]=>13
[7,4,3,2,5,1,6]=>[[1,5,7],[2],[3],[4],[6]]=>14
[7,4,3,2,5,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>13
[7,4,3,2,6,1,5]=>[[1,5],[2,7],[3],[4],[6]]=>15
[7,4,3,2,6,5,1]=>[[1,5],[2,6],[3],[4],[7]]=>14
[7,4,3,5,1,2,6]=>[[1,4,7],[2,6],[3],[5]]=>14
[7,4,3,5,1,6,2]=>[[1,4,6],[2,7],[3],[5]]=>13
[7,4,3,5,2,1,6]=>[[1,4,7],[2],[3],[5],[6]]=>15
[7,4,3,5,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>16
[7,4,3,5,6,1,2]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[7,4,3,6,1,5,2]=>[[1,4],[2,6],[3,7],[5]]=>15
[7,4,3,6,2,1,5]=>[[1,4],[2,7],[3],[5],[6]]=>16
[7,4,3,6,2,5,1]=>[[1,4],[2,6],[3],[5],[7]]=>17
[7,4,3,6,5,1,2]=>[[1,4],[2,5],[3,7],[6]]=>14
[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]]=>14
[7,4,5,1,2,6,3]=>[[1,3,6],[2,5,7],[4]]=>15
[7,4,5,1,3,2,6]=>[[1,3,7],[2,5],[4],[6]]=>16
[7,4,5,1,3,6,2]=>[[1,3,6],[2,5],[4],[7]]=>17
[7,4,5,1,6,2,3]=>[[1,3,5],[2,6,7],[4]]=>13
[7,4,5,1,6,3,2]=>[[1,3,5],[2,6],[4],[7]]=>15
[7,4,5,2,1,3,6]=>[[1,3,7],[2,6],[4],[5]]=>15
[7,4,5,2,1,6,3]=>[[1,3,6],[2,7],[4],[5]]=>14
[7,4,5,2,3,1,6]=>[[1,3,7],[2,5],[4],[6]]=>16
[7,4,5,2,3,6,1]=>[[1,3,6],[2,5],[4],[7]]=>17
[7,4,5,2,6,1,3]=>[[1,3,5],[2,7],[4],[6]]=>16
[7,4,5,2,6,3,1]=>[[1,3,5],[2,6],[4],[7]]=>15
[7,4,5,3,1,2,6]=>[[1,3,7],[2,6],[4],[5]]=>15
[7,4,5,3,1,6,2]=>[[1,3,6],[2,7],[4],[5]]=>14
[7,4,5,3,2,1,6]=>[[1,3,7],[2],[4],[5],[6]]=>16
[7,4,5,3,2,6,1]=>[[1,3,6],[2],[4],[5],[7]]=>17
[7,4,5,3,6,1,2]=>[[1,3,5],[2,7],[4],[6]]=>16
[7,4,5,3,6,2,1]=>[[1,3,5],[2],[4],[6],[7]]=>18
[7,4,5,6,1,2,3]=>[[1,3,4],[2,6,7],[5]]=>12
[7,4,5,6,1,3,2]=>[[1,3,4],[2,6],[5],[7]]=>14
[7,4,5,6,2,1,3]=>[[1,3,4],[2,7],[5],[6]]=>13
[7,4,5,6,2,3,1]=>[[1,3,4],[2,6],[5],[7]]=>14
[7,4,5,6,3,1,2]=>[[1,3,4],[2,7],[5],[6]]=>13
[7,4,5,6,3,2,1]=>[[1,3,4],[2],[5],[6],[7]]=>15
[7,4,6,1,2,3,5]=>[[1,3,6,7],[2,5],[4]]=>14
[7,4,6,1,2,5,3]=>[[1,3,6],[2,5],[4],[7]]=>17
[7,4,6,1,3,2,5]=>[[1,3,7],[2,5],[4],[6]]=>16
[7,4,6,1,3,5,2]=>[[1,3,6],[2,5],[4],[7]]=>17
[7,4,6,1,5,2,3]=>[[1,3,7],[2,5],[4],[6]]=>16
[7,4,6,1,5,3,2]=>[[1,3],[2,5],[4],[6],[7]]=>19
[7,4,6,2,1,3,5]=>[[1,3,7],[2,6],[4],[5]]=>15
[7,4,6,2,1,5,3]=>[[1,3],[2,6],[4,7],[5]]=>16
[7,4,6,2,3,1,5]=>[[1,3,7],[2,5],[4],[6]]=>16
[7,4,6,2,3,5,1]=>[[1,3,6],[2,5],[4],[7]]=>17
[7,4,6,2,5,1,3]=>[[1,3],[2,5],[4,7],[6]]=>18
[7,4,6,2,5,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>19
[7,4,6,3,1,2,5]=>[[1,3,7],[2,6],[4],[5]]=>15
[7,4,6,3,1,5,2]=>[[1,3],[2,6],[4,7],[5]]=>16
[7,4,6,3,2,1,5]=>[[1,3],[2,7],[4],[5],[6]]=>17
[7,4,6,3,2,5,1]=>[[1,3],[2,6],[4],[5],[7]]=>18
[7,4,6,3,5,1,2]=>[[1,3],[2,5],[4,7],[6]]=>18
[7,4,6,3,5,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>19
[7,4,6,5,1,2,3]=>[[1,3,7],[2,6],[4],[5]]=>15
[7,4,6,5,1,3,2]=>[[1,3],[2,6],[4],[5],[7]]=>18
[7,4,6,5,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>17
[7,4,6,5,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>18
[7,4,6,5,3,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>17
[7,4,6,5,3,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>20
[7,5,1,2,3,4,6]=>[[1,4,5,6,7],[2],[3]]=>7
[7,5,1,2,3,6,4]=>[[1,4,5,6],[2,7],[3]]=>8
[7,5,1,2,4,3,6]=>[[1,4,5,7],[2],[3],[6]]=>11
[7,5,1,2,4,6,3]=>[[1,4,5,6],[2],[3],[7]]=>10
[7,5,1,2,6,3,4]=>[[1,4,5,7],[2,6],[3]]=>9
[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]]=>12
[7,5,1,3,2,6,4]=>[[1,4,6],[2,7],[3],[5]]=>13
[7,5,1,3,4,2,6]=>[[1,4,5,7],[2],[3],[6]]=>11
[7,5,1,3,4,6,2]=>[[1,4,5,6],[2],[3],[7]]=>10
[7,5,1,3,6,2,4]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>12
[7,5,1,4,2,6,3]=>[[1,4,6],[2,7],[3],[5]]=>13
[7,5,1,4,3,2,6]=>[[1,4,7],[2],[3],[5],[6]]=>15
[7,5,1,4,3,6,2]=>[[1,4,6],[2],[3],[5],[7]]=>16
[7,5,1,4,6,2,3]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>10
[7,5,1,6,2,4,3]=>[[1,4,6],[2,5],[3],[7]]=>13
[7,5,1,6,3,2,4]=>[[1,4,7],[2,5],[3],[6]]=>12
[7,5,1,6,3,4,2]=>[[1,4,6],[2,5],[3],[7]]=>13
[7,5,1,6,4,2,3]=>[[1,4,7],[2,5],[3],[6]]=>12
[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]]=>9
[7,5,2,1,3,6,4]=>[[1,5,6],[2,7],[3],[4]]=>10
[7,5,2,1,4,3,6]=>[[1,5,7],[2,6],[3],[4]]=>11
[7,5,2,1,4,6,3]=>[[1,5,6],[2,7],[3],[4]]=>10
[7,5,2,1,6,3,4]=>[[1,5,7],[2,6],[3],[4]]=>11
[7,5,2,1,6,4,3]=>[[1,5],[2,6],[3,7],[4]]=>12
[7,5,2,3,1,4,6]=>[[1,4,6,7],[2],[3],[5]]=>12
[7,5,2,3,1,6,4]=>[[1,4,6],[2,7],[3],[5]]=>13
[7,5,2,3,4,1,6]=>[[1,4,5,7],[2],[3],[6]]=>11
[7,5,2,3,4,6,1]=>[[1,4,5,6],[2],[3],[7]]=>10
[7,5,2,3,6,1,4]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[7,5,2,4,1,6,3]=>[[1,4,6],[2,7],[3],[5]]=>13
[7,5,2,4,3,1,6]=>[[1,4,7],[2],[3],[5],[6]]=>15
[7,5,2,4,3,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>16
[7,5,2,4,6,1,3]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[7,5,2,6,1,4,3]=>[[1,4],[2,6],[3,7],[5]]=>15
[7,5,2,6,3,1,4]=>[[1,4,7],[2,5],[3],[6]]=>12
[7,5,2,6,3,4,1]=>[[1,4,6],[2,5],[3],[7]]=>13
[7,5,2,6,4,1,3]=>[[1,4],[2,5],[3,7],[6]]=>14
[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]]=>9
[7,5,3,1,2,6,4]=>[[1,5,6],[2,7],[3],[4]]=>10
[7,5,3,1,4,2,6]=>[[1,5,7],[2,6],[3],[4]]=>11
[7,5,3,1,4,6,2]=>[[1,5,6],[2,7],[3],[4]]=>10
[7,5,3,1,6,2,4]=>[[1,5,7],[2,6],[3],[4]]=>11
[7,5,3,1,6,4,2]=>[[1,5],[2,6],[3,7],[4]]=>12
[7,5,3,2,1,4,6]=>[[1,6,7],[2],[3],[4],[5]]=>12
[7,5,3,2,1,6,4]=>[[1,6],[2,7],[3],[4],[5]]=>13
[7,5,3,2,4,1,6]=>[[1,5,7],[2],[3],[4],[6]]=>14
[7,5,3,2,4,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>13
[7,5,3,2,6,1,4]=>[[1,5],[2,7],[3],[4],[6]]=>15
[7,5,3,2,6,4,1]=>[[1,5],[2,6],[3],[4],[7]]=>14
[7,5,3,4,1,2,6]=>[[1,4,7],[2,6],[3],[5]]=>14
[7,5,3,4,1,6,2]=>[[1,4,6],[2,7],[3],[5]]=>13
[7,5,3,4,2,1,6]=>[[1,4,7],[2],[3],[5],[6]]=>15
[7,5,3,4,2,6,1]=>[[1,4,6],[2],[3],[5],[7]]=>16
[7,5,3,4,6,1,2]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[7,5,3,6,1,4,2]=>[[1,4],[2,6],[3,7],[5]]=>15
[7,5,3,6,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>16
[7,5,3,6,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>17
[7,5,3,6,4,1,2]=>[[1,4],[2,5],[3,7],[6]]=>14
[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]]=>9
[7,5,4,1,2,6,3]=>[[1,5,6],[2,7],[3],[4]]=>10
[7,5,4,1,3,2,6]=>[[1,5,7],[2],[3],[4],[6]]=>14
[7,5,4,1,3,6,2]=>[[1,5,6],[2],[3],[4],[7]]=>13
[7,5,4,1,6,2,3]=>[[1,5,7],[2,6],[3],[4]]=>11
[7,5,4,1,6,3,2]=>[[1,5],[2,6],[3],[4],[7]]=>14
[7,5,4,2,1,3,6]=>[[1,6,7],[2],[3],[4],[5]]=>12
[7,5,4,2,1,6,3]=>[[1,6],[2,7],[3],[4],[5]]=>13
[7,5,4,2,3,1,6]=>[[1,5,7],[2],[3],[4],[6]]=>14
[7,5,4,2,3,6,1]=>[[1,5,6],[2],[3],[4],[7]]=>13
[7,5,4,2,6,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>15
[7,5,4,2,6,3,1]=>[[1,5],[2,6],[3],[4],[7]]=>14
[7,5,4,3,1,2,6]=>[[1,6,7],[2],[3],[4],[5]]=>12
[7,5,4,3,1,6,2]=>[[1,6],[2,7],[3],[4],[5]]=>13
[7,5,4,3,2,1,6]=>[[1,7],[2],[3],[4],[5],[6]]=>16
[7,5,4,3,2,6,1]=>[[1,6],[2],[3],[4],[5],[7]]=>17
[7,5,4,3,6,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>15
[7,5,4,3,6,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>18
[7,5,4,6,1,2,3]=>[[1,4,7],[2,6],[3],[5]]=>14
[7,5,4,6,1,3,2]=>[[1,4],[2,6],[3],[5],[7]]=>17
[7,5,4,6,2,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>16
[7,5,4,6,2,3,1]=>[[1,4],[2,6],[3],[5],[7]]=>17
[7,5,4,6,3,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>16
[7,5,4,6,3,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>19
[7,5,6,1,2,3,4]=>[[1,3,6,7],[2,5],[4]]=>14
[7,5,6,1,2,4,3]=>[[1,3,6],[2,5],[4],[7]]=>17
[7,5,6,1,3,2,4]=>[[1,3,7],[2,5],[4],[6]]=>16
[7,5,6,1,3,4,2]=>[[1,3,6],[2,5],[4],[7]]=>17
[7,5,6,1,4,2,3]=>[[1,3,7],[2,5],[4],[6]]=>16
[7,5,6,1,4,3,2]=>[[1,3],[2,5],[4],[6],[7]]=>19
[7,5,6,2,1,3,4]=>[[1,3,7],[2,6],[4],[5]]=>15
[7,5,6,2,1,4,3]=>[[1,3],[2,6],[4,7],[5]]=>16
[7,5,6,2,3,1,4]=>[[1,3,7],[2,5],[4],[6]]=>16
[7,5,6,2,3,4,1]=>[[1,3,6],[2,5],[4],[7]]=>17
[7,5,6,2,4,1,3]=>[[1,3],[2,5],[4,7],[6]]=>18
[7,5,6,2,4,3,1]=>[[1,3],[2,5],[4],[6],[7]]=>19
[7,5,6,3,1,2,4]=>[[1,3,7],[2,6],[4],[5]]=>15
[7,5,6,3,1,4,2]=>[[1,3],[2,6],[4,7],[5]]=>16
[7,5,6,3,2,1,4]=>[[1,3],[2,7],[4],[5],[6]]=>17
[7,5,6,3,2,4,1]=>[[1,3],[2,6],[4],[5],[7]]=>18
[7,5,6,3,4,1,2]=>[[1,3],[2,5],[4,7],[6]]=>18
[7,5,6,3,4,2,1]=>[[1,3],[2,5],[4],[6],[7]]=>19
[7,5,6,4,1,2,3]=>[[1,3,7],[2,6],[4],[5]]=>15
[7,5,6,4,1,3,2]=>[[1,3],[2,6],[4],[5],[7]]=>18
[7,5,6,4,2,1,3]=>[[1,3],[2,7],[4],[5],[6]]=>17
[7,5,6,4,2,3,1]=>[[1,3],[2,6],[4],[5],[7]]=>18
[7,5,6,4,3,1,2]=>[[1,3],[2,7],[4],[5],[6]]=>17
[7,5,6,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7]]=>20
[7,6,1,2,3,4,5]=>[[1,4,5,6,7],[2],[3]]=>7
[7,6,1,2,3,5,4]=>[[1,4,5,6],[2],[3],[7]]=>10
[7,6,1,2,4,3,5]=>[[1,4,5,7],[2],[3],[6]]=>11
[7,6,1,2,4,5,3]=>[[1,4,5,6],[2],[3],[7]]=>10
[7,6,1,2,5,3,4]=>[[1,4,5,7],[2],[3],[6]]=>11
[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]]=>12
[7,6,1,3,2,5,4]=>[[1,4,6],[2,7],[3],[5]]=>13
[7,6,1,3,4,2,5]=>[[1,4,5,7],[2],[3],[6]]=>11
[7,6,1,3,4,5,2]=>[[1,4,5,6],[2],[3],[7]]=>10
[7,6,1,3,5,2,4]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>12
[7,6,1,4,2,5,3]=>[[1,4,6],[2,7],[3],[5]]=>13
[7,6,1,4,3,2,5]=>[[1,4,7],[2],[3],[5],[6]]=>15
[7,6,1,4,3,5,2]=>[[1,4,6],[2],[3],[5],[7]]=>16
[7,6,1,4,5,2,3]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>12
[7,6,1,5,2,4,3]=>[[1,4,6],[2],[3],[5],[7]]=>16
[7,6,1,5,3,2,4]=>[[1,4,7],[2],[3],[5],[6]]=>15
[7,6,1,5,3,4,2]=>[[1,4,6],[2],[3],[5],[7]]=>16
[7,6,1,5,4,2,3]=>[[1,4,7],[2],[3],[5],[6]]=>15
[7,6,1,5,4,3,2]=>[[1,4],[2],[3],[5],[6],[7]]=>19
[7,6,2,1,3,4,5]=>[[1,5,6,7],[2],[3],[4]]=>9
[7,6,2,1,3,5,4]=>[[1,5,6],[2,7],[3],[4]]=>10
[7,6,2,1,4,3,5]=>[[1,5,7],[2,6],[3],[4]]=>11
[7,6,2,1,4,5,3]=>[[1,5,6],[2,7],[3],[4]]=>10
[7,6,2,1,5,3,4]=>[[1,5,7],[2,6],[3],[4]]=>11
[7,6,2,1,5,4,3]=>[[1,5],[2,6],[3],[4],[7]]=>14
[7,6,2,3,1,4,5]=>[[1,4,6,7],[2],[3],[5]]=>12
[7,6,2,3,1,5,4]=>[[1,4,6],[2,7],[3],[5]]=>13
[7,6,2,3,4,1,5]=>[[1,4,5,7],[2],[3],[6]]=>11
[7,6,2,3,4,5,1]=>[[1,4,5,6],[2],[3],[7]]=>10
[7,6,2,3,5,1,4]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[7,6,2,4,1,5,3]=>[[1,4,6],[2,7],[3],[5]]=>13
[7,6,2,4,3,1,5]=>[[1,4,7],[2],[3],[5],[6]]=>15
[7,6,2,4,3,5,1]=>[[1,4,6],[2],[3],[5],[7]]=>16
[7,6,2,4,5,1,3]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[7,6,2,5,1,4,3]=>[[1,4],[2,6],[3],[5],[7]]=>17
[7,6,2,5,3,1,4]=>[[1,4,7],[2],[3],[5],[6]]=>15
[7,6,2,5,3,4,1]=>[[1,4,6],[2],[3],[5],[7]]=>16
[7,6,2,5,4,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>16
[7,6,2,5,4,3,1]=>[[1,4],[2],[3],[5],[6],[7]]=>19
[7,6,3,1,2,4,5]=>[[1,5,6,7],[2],[3],[4]]=>9
[7,6,3,1,2,5,4]=>[[1,5,6],[2,7],[3],[4]]=>10
[7,6,3,1,4,2,5]=>[[1,5,7],[2,6],[3],[4]]=>11
[7,6,3,1,4,5,2]=>[[1,5,6],[2,7],[3],[4]]=>10
[7,6,3,1,5,2,4]=>[[1,5,7],[2,6],[3],[4]]=>11
[7,6,3,1,5,4,2]=>[[1,5],[2,6],[3],[4],[7]]=>14
[7,6,3,2,1,4,5]=>[[1,6,7],[2],[3],[4],[5]]=>12
[7,6,3,2,1,5,4]=>[[1,6],[2,7],[3],[4],[5]]=>13
[7,6,3,2,4,1,5]=>[[1,5,7],[2],[3],[4],[6]]=>14
[7,6,3,2,4,5,1]=>[[1,5,6],[2],[3],[4],[7]]=>13
[7,6,3,2,5,1,4]=>[[1,5],[2,7],[3],[4],[6]]=>15
[7,6,3,2,5,4,1]=>[[1,5],[2,6],[3],[4],[7]]=>14
[7,6,3,4,1,2,5]=>[[1,4,7],[2,6],[3],[5]]=>14
[7,6,3,4,1,5,2]=>[[1,4,6],[2,7],[3],[5]]=>13
[7,6,3,4,2,1,5]=>[[1,4,7],[2],[3],[5],[6]]=>15
[7,6,3,4,2,5,1]=>[[1,4,6],[2],[3],[5],[7]]=>16
[7,6,3,4,5,1,2]=>[[1,4,5],[2,7],[3],[6]]=>12
[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]]=>14
[7,6,3,5,1,4,2]=>[[1,4],[2,6],[3],[5],[7]]=>17
[7,6,3,5,2,1,4]=>[[1,4],[2,7],[3],[5],[6]]=>16
[7,6,3,5,2,4,1]=>[[1,4],[2,6],[3],[5],[7]]=>17
[7,6,3,5,4,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>16
[7,6,3,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>19
[7,6,4,1,2,3,5]=>[[1,5,6,7],[2],[3],[4]]=>9
[7,6,4,1,2,5,3]=>[[1,5,6],[2,7],[3],[4]]=>10
[7,6,4,1,3,2,5]=>[[1,5,7],[2],[3],[4],[6]]=>14
[7,6,4,1,3,5,2]=>[[1,5,6],[2],[3],[4],[7]]=>13
[7,6,4,1,5,2,3]=>[[1,5,7],[2,6],[3],[4]]=>11
[7,6,4,1,5,3,2]=>[[1,5],[2,6],[3],[4],[7]]=>14
[7,6,4,2,1,3,5]=>[[1,6,7],[2],[3],[4],[5]]=>12
[7,6,4,2,1,5,3]=>[[1,6],[2,7],[3],[4],[5]]=>13
[7,6,4,2,3,1,5]=>[[1,5,7],[2],[3],[4],[6]]=>14
[7,6,4,2,3,5,1]=>[[1,5,6],[2],[3],[4],[7]]=>13
[7,6,4,2,5,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>15
[7,6,4,2,5,3,1]=>[[1,5],[2,6],[3],[4],[7]]=>14
[7,6,4,3,1,2,5]=>[[1,6,7],[2],[3],[4],[5]]=>12
[7,6,4,3,1,5,2]=>[[1,6],[2,7],[3],[4],[5]]=>13
[7,6,4,3,2,1,5]=>[[1,7],[2],[3],[4],[5],[6]]=>16
[7,6,4,3,2,5,1]=>[[1,6],[2],[3],[4],[5],[7]]=>17
[7,6,4,3,5,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>15
[7,6,4,3,5,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>18
[7,6,4,5,1,2,3]=>[[1,4,7],[2,6],[3],[5]]=>14
[7,6,4,5,1,3,2]=>[[1,4],[2,6],[3],[5],[7]]=>17
[7,6,4,5,2,1,3]=>[[1,4],[2,7],[3],[5],[6]]=>16
[7,6,4,5,2,3,1]=>[[1,4],[2,6],[3],[5],[7]]=>17
[7,6,4,5,3,1,2]=>[[1,4],[2,7],[3],[5],[6]]=>16
[7,6,4,5,3,2,1]=>[[1,4],[2],[3],[5],[6],[7]]=>19
[7,6,5,1,2,3,4]=>[[1,5,6,7],[2],[3],[4]]=>9
[7,6,5,1,2,4,3]=>[[1,5,6],[2],[3],[4],[7]]=>13
[7,6,5,1,3,2,4]=>[[1,5,7],[2],[3],[4],[6]]=>14
[7,6,5,1,3,4,2]=>[[1,5,6],[2],[3],[4],[7]]=>13
[7,6,5,1,4,2,3]=>[[1,5,7],[2],[3],[4],[6]]=>14
[7,6,5,1,4,3,2]=>[[1,5],[2],[3],[4],[6],[7]]=>18
[7,6,5,2,1,3,4]=>[[1,6,7],[2],[3],[4],[5]]=>12
[7,6,5,2,1,4,3]=>[[1,6],[2,7],[3],[4],[5]]=>13
[7,6,5,2,3,1,4]=>[[1,5,7],[2],[3],[4],[6]]=>14
[7,6,5,2,3,4,1]=>[[1,5,6],[2],[3],[4],[7]]=>13
[7,6,5,2,4,1,3]=>[[1,5],[2,7],[3],[4],[6]]=>15
[7,6,5,2,4,3,1]=>[[1,5],[2],[3],[4],[6],[7]]=>18
[7,6,5,3,1,2,4]=>[[1,6,7],[2],[3],[4],[5]]=>12
[7,6,5,3,1,4,2]=>[[1,6],[2,7],[3],[4],[5]]=>13
[7,6,5,3,2,1,4]=>[[1,7],[2],[3],[4],[5],[6]]=>16
[7,6,5,3,2,4,1]=>[[1,6],[2],[3],[4],[5],[7]]=>17
[7,6,5,3,4,1,2]=>[[1,5],[2,7],[3],[4],[6]]=>15
[7,6,5,3,4,2,1]=>[[1,5],[2],[3],[4],[6],[7]]=>18
[7,6,5,4,1,2,3]=>[[1,6,7],[2],[3],[4],[5]]=>12
[7,6,5,4,1,3,2]=>[[1,6],[2],[3],[4],[5],[7]]=>17
[7,6,5,4,2,1,3]=>[[1,7],[2],[3],[4],[5],[6]]=>16
[7,6,5,4,2,3,1]=>[[1,6],[2],[3],[4],[5],[7]]=>17
[7,6,5,4,3,1,2]=>[[1,7],[2],[3],[4],[5],[6]]=>16
[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]]=>21
[8,6,7,5,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>27
[7,6,8,5,4,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>27
[6,7,8,5,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[8,7,5,6,4,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>26
[7,8,5,6,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>16
[8,6,5,7,4,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>26
[8,5,6,7,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>21
[7,6,5,8,4,3,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>26
[6,7,5,8,4,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[7,5,6,8,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>21
[6,5,7,8,4,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>21
[5,6,7,8,4,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[8,7,6,4,5,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>25
[7,8,6,4,5,3,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>20
[8,6,7,4,5,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>26
[7,6,8,4,5,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>26
[8,7,5,4,6,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>25
[8,7,4,5,6,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>20
[8,6,5,4,7,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>25
[8,5,6,4,7,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>25
[8,6,4,5,7,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>20
[8,4,5,6,7,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[7,6,5,4,8,3,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>25
[6,7,5,4,8,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>19
[7,5,6,4,8,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>25
[6,5,7,4,8,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>25
[5,6,7,4,8,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>14
[7,6,4,5,8,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>20
[6,7,4,5,8,3,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[7,5,4,6,8,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>20
[7,4,5,6,8,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[6,5,4,7,8,3,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>20
[5,6,4,7,8,3,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[6,4,5,7,8,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[5,4,6,7,8,3,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[4,5,6,7,8,3,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[8,7,6,5,3,4,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>24
[7,8,6,5,3,4,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>19
[8,6,7,5,3,4,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>25
[7,6,8,5,3,4,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>25
[8,7,5,6,3,4,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>24
[7,8,5,6,3,4,2,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>13
[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]]=>24
[6,7,5,8,3,4,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[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]]=>7
[8,7,6,4,3,5,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>24
[7,8,6,4,3,5,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>19
[8,6,7,4,3,5,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>25
[7,6,8,4,3,5,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>25
[6,7,8,4,3,5,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[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]]=>18
[8,6,7,3,4,5,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[7,6,8,3,4,5,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[6,7,8,3,4,5,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[8,7,5,4,3,6,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>24
[7,8,5,4,3,6,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>19
[8,7,4,5,3,6,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>23
[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]]=>18
[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]]=>15
[7,8,3,4,5,6,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[8,6,5,4,3,7,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>24
[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]]=>15
[8,4,3,5,6,7,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>15
[8,3,4,5,6,7,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[7,6,5,4,3,8,2,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>24
[6,7,5,4,3,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>18
[7,5,6,4,3,8,2,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>24
[6,5,7,4,3,8,2,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>24
[5,6,7,4,3,8,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>13
[6,7,4,5,3,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[7,5,4,6,3,8,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>23
[7,4,5,6,3,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[6,5,4,7,3,8,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>23
[6,4,5,7,3,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[5,4,6,7,3,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[4,5,6,7,3,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[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]]=>15
[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]]=>15
[7,3,4,5,6,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[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]]=>15
[6,3,4,5,7,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[5,4,3,6,7,8,2,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>15
[5,3,4,6,7,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[4,3,5,6,7,8,2,1]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[3,4,5,6,7,8,2,1]=>[[1,2,3,4,5,6],[7],[8]]=>3
[8,7,6,5,4,2,3,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>23
[7,8,6,5,4,2,3,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>18
[8,6,7,5,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>24
[7,6,8,5,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>24
[8,7,5,6,4,2,3,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>23
[8,6,5,7,4,2,3,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>23
[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]]=>23
[6,7,5,8,4,2,3,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[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]]=>9
[8,7,6,4,5,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[8,6,7,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[7,6,8,4,5,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[8,7,5,4,6,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[8,7,4,5,6,2,3,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[7,8,4,5,6,2,3,1]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[8,6,5,4,7,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[8,5,6,4,7,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[8,6,4,5,7,2,3,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[8,4,5,6,7,2,3,1]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[7,6,5,4,8,2,3,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[7,5,6,4,8,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[6,5,7,4,8,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[6,7,4,5,8,2,3,1]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[4,5,6,7,8,2,3,1]=>[[1,2,3,4,5],[6,7],[8]]=>4
[8,7,6,5,3,2,4,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>23
[7,8,6,5,3,2,4,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>18
[8,6,7,5,3,2,4,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>24
[7,6,8,5,3,2,4,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>24
[6,7,8,5,3,2,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[8,7,5,6,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>23
[8,6,5,7,3,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>23
[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]]=>23
[6,7,5,8,3,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[5,6,7,8,3,2,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[8,7,6,5,2,3,4,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>18
[8,6,7,5,2,3,4,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[7,6,8,5,2,3,4,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[6,7,8,5,2,3,4,1]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[8,7,5,6,2,3,4,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[7,8,5,6,2,3,4,1]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[8,6,5,7,2,3,4,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[8,5,6,7,2,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[7,6,5,8,2,3,4,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[6,7,5,8,2,3,4,1]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[6,5,7,8,2,3,4,1]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[5,6,7,8,2,3,4,1]=>[[1,2,3,4],[5,6,7],[8]]=>5
[8,7,6,4,3,2,5,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>23
[7,8,6,4,3,2,5,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>18
[8,6,7,4,3,2,5,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>24
[7,6,8,4,3,2,5,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>24
[6,7,8,4,3,2,5,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[8,7,6,3,4,2,5,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>21
[7,8,6,3,4,2,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[8,6,7,3,4,2,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[7,6,8,3,4,2,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[6,7,8,3,4,2,5,1]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[7,6,8,4,2,3,5,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[6,7,8,4,2,3,5,1]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[8,7,6,3,2,4,5,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>18
[7,8,6,3,2,4,5,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[8,6,7,3,2,4,5,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[6,7,8,3,2,4,5,1]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[8,7,6,2,3,4,5,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[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]]=>20
[7,6,8,2,3,4,5,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[6,7,8,2,3,4,5,1]=>[[1,2,3,7],[4,5,6],[8]]=>7
[8,7,5,4,3,2,6,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>23
[7,8,5,4,3,2,6,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>18
[8,7,5,3,4,2,6,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>21
[7,8,5,3,4,2,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[8,7,4,3,5,2,6,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>21
[8,7,5,3,2,4,6,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>18
[8,7,4,3,2,5,6,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>18
[7,8,4,3,2,5,6,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[7,8,3,4,2,5,6,1]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[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]]=>11
[7,8,2,3,4,5,6,1]=>[[1,2,5,6,7],[3,4],[8]]=>8
[8,6,5,4,3,2,7,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>23
[8,5,6,4,3,2,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>23
[8,6,4,5,3,2,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>22
[8,5,4,6,3,2,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>22
[8,6,5,3,4,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>21
[8,5,6,3,4,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,6,4,3,5,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>21
[8,6,3,4,5,2,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>17
[8,5,4,3,6,2,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>21
[8,4,5,3,6,2,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[8,4,3,5,6,2,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>17
[8,3,4,5,6,2,7,1]=>[[1,3,4,5,7],[2],[6],[8]]=>14
[8,6,5,4,2,3,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>18
[8,6,5,3,2,4,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>18
[8,6,4,3,2,5,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>18
[8,6,4,2,3,5,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[8,6,2,3,4,5,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[8,5,4,3,2,6,7,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>18
[8,4,5,3,2,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>19
[8,5,3,4,2,6,7,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>18
[8,3,4,5,2,6,7,1]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[8,5,4,2,3,6,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[8,4,5,2,3,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[8,4,3,2,5,6,7,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[8,3,4,2,5,6,7,1]=>[[1,3,5,6,7],[2],[4],[8]]=>16
[8,4,2,3,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[8,3,2,4,5,6,7,1]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[8,2,3,4,5,6,7,1]=>[[1,3,4,5,6,7],[2],[8]]=>9
[7,6,5,4,3,2,8,1]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>23
[6,7,5,4,3,2,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>17
[7,5,6,4,3,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>23
[6,5,7,4,3,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>23
[5,6,7,4,3,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>12
[7,6,4,5,3,2,8,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>22
[6,7,4,5,3,2,8,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[7,4,5,6,3,2,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>18
[6,5,4,7,3,2,8,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>22
[6,4,5,7,3,2,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>18
[4,5,6,7,3,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[7,6,5,3,4,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>21
[7,5,6,3,4,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[6,5,7,3,4,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[7,6,4,3,5,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>21
[7,6,3,4,5,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>17
[7,5,4,3,6,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>21
[7,4,5,3,6,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[7,5,3,4,6,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>17
[7,3,4,5,6,2,8,1]=>[[1,3,4,5,7],[2],[6],[8]]=>14
[6,5,4,3,7,2,8,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>21
[6,4,5,3,7,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[5,4,6,3,7,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[4,5,6,3,7,2,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>12
[6,5,3,4,7,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>17
[5,6,3,4,7,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[6,4,3,5,7,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>17
[6,3,4,5,7,2,8,1]=>[[1,3,4,5,7],[2],[6],[8]]=>14
[5,4,3,6,7,2,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>17
[4,5,3,6,7,2,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>13
[4,3,5,6,7,2,8,1]=>[[1,3,4,5,7],[2],[6],[8]]=>14
[3,4,5,6,7,2,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>5
[7,6,5,4,2,3,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>18
[6,7,5,4,2,3,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[7,5,6,4,2,3,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[6,5,7,4,2,3,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[5,6,7,4,2,3,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[7,6,4,5,2,3,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[6,7,4,5,2,3,8,1]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[7,5,4,6,2,3,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[7,4,5,6,2,3,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[6,5,4,7,2,3,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[5,6,4,7,2,3,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[5,4,6,7,2,3,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[4,5,6,7,2,3,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>6
[7,6,5,3,2,4,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>18
[6,7,5,3,2,4,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[6,5,7,3,2,4,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[7,6,5,2,3,4,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[7,5,6,2,3,4,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[5,6,7,2,3,4,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>7
[6,7,4,3,2,5,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[7,6,4,2,3,5,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[7,6,3,2,4,5,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[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]]=>11
[6,7,2,3,4,5,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>8
[7,5,4,3,2,6,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>18
[7,4,3,5,2,6,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>18
[7,5,4,2,3,6,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[7,4,5,2,3,6,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[7,5,3,2,4,6,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[7,5,2,3,4,6,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[7,4,3,2,5,6,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[7,3,2,4,5,6,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[7,2,3,4,5,6,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>9
[6,5,4,3,2,7,8,1]=>[[1,6,7],[2],[3],[4],[5],[8]]=>18
[5,4,6,3,2,7,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>19
[4,5,6,3,2,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[6,5,3,4,2,7,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>18
[6,3,4,5,2,7,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[5,4,3,6,2,7,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>18
[4,3,5,6,2,7,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[3,4,5,6,2,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>6
[6,5,4,2,3,7,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[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]]=>20
[5,4,6,2,3,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[4,5,6,2,3,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>7
[6,5,3,2,4,7,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[6,5,2,3,4,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[6,2,3,4,5,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>9
[5,4,3,2,6,7,8,1]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[4,5,3,2,6,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[5,3,4,2,6,7,8,1]=>[[1,3,5,6,7],[2],[4],[8]]=>16
[4,3,5,2,6,7,8,1]=>[[1,3,5,6,7],[2],[4],[8]]=>16
[3,4,5,2,6,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>7
[5,4,2,3,6,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[4,5,2,3,6,7,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>8
[5,3,2,4,6,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[5,2,3,4,6,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>9
[4,3,2,5,6,7,8,1]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[3,4,2,5,6,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>8
[4,2,3,5,6,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>9
[3,2,4,5,6,7,8,1]=>[[1,3,4,5,6,7],[2],[8]]=>9
[2,3,4,5,6,7,8,1]=>[[1,2,3,4,5,6,7],[8]]=>1
[8,7,6,5,4,3,1,2]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>22
[7,8,6,5,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[8,6,7,5,4,3,1,2]=>[[1,3],[2,8],[4],[5],[6],[7]]=>23
[7,6,8,5,4,3,1,2]=>[[1,3],[2,8],[4],[5],[6],[7]]=>23
[6,7,8,5,4,3,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[8,7,5,6,4,3,1,2]=>[[1,4],[2,8],[3],[5],[6],[7]]=>22
[7,8,5,6,4,3,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[8,6,5,7,4,3,1,2]=>[[1,4],[2,8],[3],[5],[6],[7]]=>22
[7,6,5,8,4,3,1,2]=>[[1,4],[2,8],[3],[5],[6],[7]]=>22
[6,7,5,8,4,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[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]]=>8
[8,7,6,4,5,3,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>21
[7,8,6,4,5,3,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>18
[8,6,7,4,5,3,1,2]=>[[1,3],[2,5],[4,8],[6],[7]]=>24
[6,7,8,4,5,3,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[8,7,5,4,6,3,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>21
[8,5,6,4,7,3,1,2]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[8,6,4,5,7,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[8,5,4,6,7,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[7,6,5,4,8,3,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>21
[7,5,6,4,8,3,1,2]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[6,5,7,4,8,3,1,2]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[7,6,4,5,8,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[6,7,4,5,8,3,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[6,5,4,7,8,3,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[5,6,4,7,8,3,1,2]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[5,4,6,7,8,3,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[4,5,6,7,8,3,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>5
[8,7,6,5,3,4,1,2]=>[[1,6],[2,8],[3],[4],[5],[7]]=>20
[7,8,6,5,3,4,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[7,6,8,5,3,4,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>23
[6,7,8,5,3,4,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[8,7,5,6,3,4,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[7,8,5,6,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>12
[8,6,5,7,3,4,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[8,5,6,7,3,4,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[7,6,5,8,3,4,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[6,7,5,8,3,4,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[7,5,6,8,3,4,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[6,5,7,8,3,4,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[5,6,7,8,3,4,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>6
[6,7,8,4,3,5,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[8,7,6,3,4,5,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[8,6,7,3,4,5,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[7,8,5,4,3,6,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[8,7,4,5,3,6,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[7,8,4,5,3,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[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]]=>16
[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]]=>13
[7,8,3,4,5,6,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>10
[8,6,5,4,3,7,1,2]=>[[1,6],[2,8],[3],[4],[5],[7]]=>20
[8,5,4,6,3,7,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[8,5,4,3,6,7,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[8,5,3,4,6,7,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[8,4,3,5,6,7,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[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]]=>20
[7,5,6,4,3,8,1,2]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[5,6,7,4,3,8,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[6,7,4,5,3,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[7,5,4,6,3,8,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[6,5,4,7,3,8,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[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]]=>8
[7,6,5,3,4,8,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[7,6,4,3,5,8,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[7,6,3,4,5,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[7,5,4,3,6,8,1,2]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[7,4,5,3,6,8,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[7,5,3,4,6,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[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]]=>16
[5,6,4,3,7,8,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[5,4,6,3,7,8,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[4,5,6,3,7,8,1,2]=>[[1,2,3,5,6],[4,8],[7]]=>9
[5,6,3,4,7,8,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>10
[6,4,3,5,7,8,1,2]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[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]]=>13
[4,5,3,6,7,8,1,2]=>[[1,2,4,5,6],[3,8],[7]]=>10
[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]]=>2
[8,7,6,5,4,2,1,3]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>22
[7,8,6,5,4,2,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[8,6,7,5,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>23
[7,6,8,5,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>23
[6,7,8,5,4,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[8,7,5,6,4,2,1,3]=>[[1,4],[2,8],[3],[5],[6],[7]]=>22
[7,8,5,6,4,2,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[7,6,5,8,4,2,1,3]=>[[1,4],[2,8],[3],[5],[6],[7]]=>22
[6,7,5,8,4,2,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[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]]=>8
[8,7,6,4,5,2,1,3]=>[[1,5],[2,8],[3],[4],[6],[7]]=>21
[8,4,5,6,7,2,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[7,6,5,4,8,2,1,3]=>[[1,5],[2,8],[3],[4],[6],[7]]=>21
[6,7,5,4,8,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[6,5,7,4,8,2,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[5,6,7,4,8,2,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[7,6,4,5,8,2,1,3]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[7,4,5,6,8,2,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[5,4,6,7,8,2,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[4,5,6,7,8,2,1,3]=>[[1,2,3,4,5],[6,8],[7]]=>5
[8,7,6,5,4,1,2,3]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[7,8,6,5,4,1,2,3]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[7,6,8,5,4,1,2,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[6,7,8,5,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[7,8,5,6,4,1,2,3]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[8,6,5,7,4,1,2,3]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[8,5,6,7,4,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[7,6,5,8,4,1,2,3]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[6,7,5,8,4,1,2,3]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[7,5,6,8,4,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[6,5,7,8,4,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[5,6,7,8,4,1,2,3]=>[[1,2,3,4],[5,7,8],[6]]=>7
[8,7,6,4,5,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[8,6,7,4,5,1,2,3]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[6,7,8,4,5,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>8
[8,7,5,4,6,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[7,8,5,4,6,1,2,3]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[8,7,4,5,6,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[7,8,4,5,6,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>12
[8,6,5,4,7,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[8,5,6,4,7,1,2,3]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[8,6,4,5,7,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[8,5,4,6,7,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[8,4,5,6,7,1,2,3]=>[[1,3,4,5],[2,7,8],[6]]=>13
[7,6,5,4,8,1,2,3]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[6,7,5,4,8,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[6,5,7,4,8,1,2,3]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[5,6,7,4,8,1,2,3]=>[[1,2,3,5],[4,7,8],[6]]=>11
[6,7,4,5,8,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>12
[7,5,4,6,8,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[6,5,4,7,8,1,2,3]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[5,6,4,7,8,1,2,3]=>[[1,2,4,5],[3,7,8],[6]]=>12
[5,4,6,7,8,1,2,3]=>[[1,3,4,5],[2,7,8],[6]]=>13
[4,5,6,7,8,1,2,3]=>[[1,2,3,4,5],[6,7,8]]=>3
[8,7,6,5,3,2,1,4]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>22
[7,8,6,5,3,2,1,4]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[8,6,7,5,3,2,1,4]=>[[1,3],[2,8],[4],[5],[6],[7]]=>23
[7,6,8,5,3,2,1,4]=>[[1,3],[2,8],[4],[5],[6],[7]]=>23
[6,7,8,5,3,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[8,7,5,6,3,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>22
[7,8,5,6,3,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[8,6,5,7,3,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>22
[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]]=>22
[6,7,5,8,3,2,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[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]]=>8
[8,7,6,5,2,3,1,4]=>[[1,6,8],[2],[3],[4],[5],[7]]=>19
[7,8,6,5,2,3,1,4]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[8,6,7,5,2,3,1,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[7,6,8,5,2,3,1,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[6,7,8,5,2,3,1,4]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[8,7,5,6,2,3,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[7,8,5,6,2,3,1,4]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[8,6,5,7,2,3,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[8,5,6,7,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[7,6,5,8,2,3,1,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[6,7,5,8,2,3,1,4]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[7,5,6,8,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[6,5,7,8,2,3,1,4]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[5,6,7,8,2,3,1,4]=>[[1,2,3,4],[5,6,8],[7]]=>6
[8,7,6,5,3,1,2,4]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[7,8,6,5,3,1,2,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[8,6,7,5,3,1,2,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[7,6,8,5,3,1,2,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[8,7,5,6,3,1,2,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[7,8,5,6,3,1,2,4]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[7,6,5,8,3,1,2,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[6,7,5,8,3,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[7,5,6,8,3,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[6,5,7,8,3,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[5,6,7,8,3,1,2,4]=>[[1,2,3,4],[5,7,8],[6]]=>7
[8,7,6,5,2,1,3,4]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[7,8,6,5,2,1,3,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[7,6,8,5,2,1,3,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[6,7,8,5,2,1,3,4]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[8,7,5,6,2,1,3,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[7,8,5,6,2,1,3,4]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[8,6,5,7,2,1,3,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[8,5,6,7,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[7,6,5,8,2,1,3,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[6,7,5,8,2,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[7,5,6,8,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[6,5,7,8,2,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[5,6,7,8,2,1,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>7
[8,7,6,5,1,2,3,4]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[7,8,6,5,1,2,3,4]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[8,6,7,5,1,2,3,4]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[7,6,8,5,1,2,3,4]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[6,7,8,5,1,2,3,4]=>[[1,2,3,8],[4,6,7],[5]]=>9
[8,7,5,6,1,2,3,4]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[7,8,5,6,1,2,3,4]=>[[1,2,7,8],[3,4],[5,6]]=>8
[8,6,5,7,1,2,3,4]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,5,6,7,1,2,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>15
[7,6,5,8,1,2,3,4]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[6,7,5,8,1,2,3,4]=>[[1,2,4,8],[3,6,7],[5]]=>14
[7,5,6,8,1,2,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>15
[6,5,7,8,1,2,3,4]=>[[1,3,4,8],[2,6,7],[5]]=>15
[5,6,7,8,1,2,3,4]=>[[1,2,3,4],[5,6,7,8]]=>4
[8,7,6,4,3,2,1,5]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>22
[7,8,6,4,3,2,1,5]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[8,6,7,4,3,2,1,5]=>[[1,3],[2,8],[4],[5],[6],[7]]=>23
[7,6,8,4,3,2,1,5]=>[[1,3],[2,8],[4],[5],[6],[7]]=>23
[6,7,8,4,3,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[8,7,6,3,4,2,1,5]=>[[1,5,8],[2],[3],[4],[6],[7]]=>20
[7,8,6,3,4,2,1,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[6,7,8,3,4,2,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[8,7,6,4,2,3,1,5]=>[[1,6,8],[2],[3],[4],[5],[7]]=>19
[7,6,8,4,2,3,1,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[6,7,8,4,2,3,1,5]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[8,7,6,3,2,4,1,5]=>[[1,6,8],[2],[3],[4],[5],[7]]=>19
[8,6,7,3,2,4,1,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[6,7,8,3,2,4,1,5]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[8,7,6,2,3,4,1,5]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[8,6,7,2,3,4,1,5]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[7,6,8,2,3,4,1,5]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[6,7,8,2,3,4,1,5]=>[[1,2,3,8],[4,5,6],[7]]=>6
[8,7,6,4,3,1,2,5]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[6,7,8,4,3,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[8,7,6,3,4,1,2,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[7,8,6,3,4,1,2,5]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[8,6,7,3,4,1,2,5]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[6,7,8,3,4,1,2,5]=>[[1,2,3],[4,5,8],[6,7]]=>8
[8,7,6,4,2,1,3,5]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[7,8,6,4,2,1,3,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[8,6,7,4,2,1,3,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[6,7,8,4,2,1,3,5]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[8,7,6,4,1,2,3,5]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[7,8,6,4,1,2,3,5]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[7,6,8,4,1,2,3,5]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[6,7,8,4,1,2,3,5]=>[[1,2,3,8],[4,6,7],[5]]=>9
[8,7,6,3,2,1,4,5]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[7,8,6,3,2,1,4,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[8,6,7,3,2,1,4,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[7,6,8,3,2,1,4,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[6,7,8,3,2,1,4,5]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[8,7,6,2,3,1,4,5]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[7,8,6,2,3,1,4,5]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[8,6,7,2,3,1,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[7,6,8,2,3,1,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[6,7,8,2,3,1,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>8
[8,7,6,3,1,2,4,5]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[7,8,6,3,1,2,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[8,6,7,3,1,2,4,5]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[7,6,8,3,1,2,4,5]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[6,7,8,3,1,2,4,5]=>[[1,2,3,8],[4,6,7],[5]]=>9
[8,7,6,2,1,3,4,5]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[7,8,6,2,1,3,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[8,6,7,2,1,3,4,5]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[6,7,8,2,1,3,4,5]=>[[1,2,3,8],[4,6,7],[5]]=>9
[8,7,6,1,2,3,4,5]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[7,8,6,1,2,3,4,5]=>[[1,2,6,7,8],[3,5],[4]]=>11
[8,6,7,1,2,3,4,5]=>[[1,3,6,7,8],[2,5],[4]]=>17
[7,6,8,1,2,3,4,5]=>[[1,3,6,7,8],[2,5],[4]]=>17
[6,7,8,1,2,3,4,5]=>[[1,2,3,7,8],[4,5,6]]=>5
[8,7,5,4,3,2,1,6]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>22
[7,8,5,4,3,2,1,6]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[8,7,4,5,3,2,1,6]=>[[1,4,8],[2],[3],[5],[6],[7]]=>21
[7,8,4,5,3,2,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[8,7,5,3,4,2,1,6]=>[[1,5,8],[2],[3],[4],[6],[7]]=>20
[8,7,3,4,5,2,1,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[7,8,3,4,5,2,1,6]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[8,7,4,5,2,3,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[7,8,4,5,2,3,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[8,7,5,3,2,4,1,6]=>[[1,6,8],[2],[3],[4],[5],[7]]=>19
[7,8,5,2,3,4,1,6]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[8,7,4,3,2,5,1,6]=>[[1,6,8],[2],[3],[4],[5],[7]]=>19
[7,8,4,3,2,5,1,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[8,7,3,4,2,5,1,6]=>[[1,4,6,8],[2],[3],[5],[7]]=>19
[7,8,3,4,2,5,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[8,7,2,3,4,5,1,6]=>[[1,4,5,6,8],[2],[3],[7]]=>12
[7,8,2,3,4,5,1,6]=>[[1,2,5,6,8],[3,4],[7]]=>9
[8,7,5,4,3,1,2,6]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[7,8,5,4,3,1,2,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[8,7,5,3,4,1,2,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[8,7,3,4,5,1,2,6]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[7,8,3,4,5,1,2,6]=>[[1,2,5,8],[3,4],[6,7]]=>11
[7,8,5,4,2,1,3,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[8,7,5,4,1,2,3,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[7,8,5,4,1,2,3,6]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[8,7,4,5,1,2,3,6]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[7,8,4,5,1,2,3,6]=>[[1,2,7,8],[3,4],[5,6]]=>8
[8,7,5,3,2,1,4,6]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[7,8,5,3,2,1,4,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[8,7,5,3,1,2,4,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[7,8,5,3,1,2,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[8,7,5,2,1,3,4,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[7,8,5,2,1,3,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[8,7,5,1,2,3,4,6]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[7,8,5,1,2,3,4,6]=>[[1,2,6,7,8],[3,5],[4]]=>11
[8,7,4,3,2,1,5,6]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[7,8,4,3,2,1,5,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[8,7,3,4,2,1,5,6]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[7,8,3,4,2,1,5,6]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[7,8,4,2,3,1,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[8,7,3,2,4,1,5,6]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[7,8,3,2,4,1,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[8,7,2,3,4,1,5,6]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[7,8,2,3,4,1,5,6]=>[[1,2,5,7,8],[3,4],[6]]=>10
[7,8,4,3,1,2,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[8,7,3,4,1,2,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[7,8,3,4,1,2,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>8
[8,7,4,2,1,3,5,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[7,8,4,2,1,3,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[8,7,4,1,2,3,5,6]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[7,8,4,1,2,3,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>11
[8,7,3,2,1,4,5,6]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[7,8,3,2,1,4,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[8,7,2,3,1,4,5,6]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[7,8,2,3,1,4,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>7
[7,8,3,1,2,4,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>11
[8,7,2,1,3,4,5,6]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[7,8,2,1,3,4,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>11
[8,7,1,2,3,4,5,6]=>[[1,4,5,6,7,8],[2],[3]]=>8
[7,8,1,2,3,4,5,6]=>[[1,2,5,6,7,8],[3,4]]=>6
[8,6,5,4,3,2,1,7]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>22
[8,5,6,4,3,2,1,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>22
[8,6,4,5,3,2,1,7]=>[[1,4,8],[2],[3],[5],[6],[7]]=>21
[8,4,5,6,3,2,1,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[8,6,5,3,4,2,1,7]=>[[1,5,8],[2],[3],[4],[6],[7]]=>20
[8,5,6,3,4,2,1,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[8,4,5,3,6,2,1,7]=>[[1,3,5,8],[2],[4],[6],[7]]=>21
[8,4,3,5,6,2,1,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[8,3,4,5,6,2,1,7]=>[[1,3,4,5,8],[2],[6],[7]]=>13
[8,6,5,4,2,3,1,7]=>[[1,6,8],[2],[3],[4],[5],[7]]=>19
[8,5,6,4,2,3,1,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[8,4,5,6,2,3,1,7]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[8,6,5,3,2,4,1,7]=>[[1,6,8],[2],[3],[4],[5],[7]]=>19
[8,6,5,2,3,4,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[8,5,6,2,3,4,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[8,6,4,2,3,5,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[8,6,3,2,4,5,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[8,5,4,3,2,6,1,7]=>[[1,6,8],[2],[3],[4],[5],[7]]=>19
[8,4,3,5,2,6,1,7]=>[[1,4,6,8],[2],[3],[5],[7]]=>19
[8,5,4,2,3,6,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[8,4,5,2,3,6,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[8,5,3,2,4,6,1,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[8,5,2,3,4,6,1,7]=>[[1,4,5,6,8],[2],[3],[7]]=>12
[8,3,4,2,5,6,1,7]=>[[1,3,5,6,8],[2],[4],[7]]=>17
[8,3,2,4,5,6,1,7]=>[[1,4,5,6,8],[2],[3],[7]]=>12
[8,2,3,4,5,6,1,7]=>[[1,3,4,5,6,8],[2],[7]]=>10
[8,6,5,4,3,1,2,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[8,6,4,5,3,1,2,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[8,6,5,3,4,1,2,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[8,5,6,3,4,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[8,6,3,4,5,1,2,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[8,5,4,3,6,1,2,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[8,4,5,3,6,1,2,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[8,5,3,4,6,1,2,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[8,4,3,5,6,1,2,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[8,3,4,5,6,1,2,7]=>[[1,3,4,5,8],[2,7],[6]]=>13
[8,6,5,4,2,1,3,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[8,5,6,4,2,1,3,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[8,4,5,6,2,1,3,7]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[8,6,5,4,1,2,3,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[8,5,6,4,1,2,3,7]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[8,6,4,5,1,2,3,7]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,4,5,6,1,2,3,7]=>[[1,3,4,8],[2,6,7],[5]]=>15
[8,6,5,3,2,1,4,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[8,5,6,3,2,1,4,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[8,6,5,2,3,1,4,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[8,5,6,2,3,1,4,7]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[8,5,6,3,1,2,4,7]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[8,6,5,2,1,3,4,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[8,5,6,2,1,3,4,7]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[8,6,5,1,2,3,4,7]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[8,5,6,1,2,3,4,7]=>[[1,3,6,7,8],[2,5],[4]]=>17
[8,6,4,3,2,1,5,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[8,6,3,4,2,1,5,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[8,6,4,2,3,1,5,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[8,6,3,2,4,1,5,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[8,6,2,3,4,1,5,7]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[8,6,4,3,1,2,5,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[8,6,3,4,1,2,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,6,4,2,1,3,5,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[8,6,4,1,2,3,5,7]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[8,6,3,2,1,4,5,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[8,6,1,2,3,4,5,7]=>[[1,4,5,6,7,8],[2],[3]]=>8
[8,5,4,3,2,1,6,7]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[8,4,5,3,2,1,6,7]=>[[1,3,7,8],[2],[4],[5],[6]]=>18
[8,4,3,5,2,1,6,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[8,3,4,5,2,1,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[8,4,5,2,3,1,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[8,5,2,3,4,1,6,7]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[8,4,2,3,5,1,6,7]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[8,2,3,4,5,1,6,7]=>[[1,3,4,5,7,8],[2],[6]]=>11
[8,5,3,4,1,2,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,3,4,5,1,2,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>15
[8,5,4,2,1,3,6,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[8,5,4,1,2,3,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[8,4,5,1,2,3,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>17
[8,5,3,2,1,4,6,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[8,5,3,1,2,4,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[8,5,2,1,3,4,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[8,5,1,2,3,4,6,7]=>[[1,4,5,6,7,8],[2],[3]]=>8
[8,4,3,2,1,5,6,7]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[8,3,4,2,1,5,6,7]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[8,4,2,3,1,5,6,7]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[8,2,3,4,1,5,6,7]=>[[1,3,4,6,7,8],[2],[5]]=>12
[8,3,4,1,2,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>17
[8,4,2,1,3,5,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[8,4,1,2,3,5,6,7]=>[[1,4,5,6,7,8],[2],[3]]=>8
[8,3,2,1,4,5,6,7]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[8,2,3,1,4,5,6,7]=>[[1,3,5,6,7,8],[2],[4]]=>13
[8,3,1,2,4,5,6,7]=>[[1,4,5,6,7,8],[2],[3]]=>8
[8,2,1,3,4,5,6,7]=>[[1,4,5,6,7,8],[2],[3]]=>8
[8,1,2,3,4,5,6,7]=>[[1,3,4,5,6,7,8],[2]]=>7
[7,6,5,4,3,2,1,8]=>[[1,8],[2],[3],[4],[5],[6],[7]]=>22
[6,7,5,4,3,2,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>16
[7,5,6,4,3,2,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>22
[6,5,7,4,3,2,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>22
[5,6,7,4,3,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[7,6,4,5,3,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>21
[6,7,4,5,3,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[7,5,4,6,3,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>21
[7,4,5,6,3,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[6,5,4,7,3,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>21
[5,6,4,7,3,2,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[5,4,6,7,3,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[4,5,6,7,3,2,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[7,6,5,3,4,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>20
[6,7,5,3,4,2,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[7,5,6,3,4,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[6,5,7,3,4,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[5,6,7,3,4,2,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[7,6,4,3,5,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>20
[6,7,4,3,5,2,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[7,6,3,4,5,2,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[7,5,4,3,6,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>20
[7,3,4,5,6,2,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>13
[6,5,4,3,7,2,1,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>20
[5,6,4,3,7,2,1,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>15
[5,4,6,3,7,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>21
[5,4,3,6,7,2,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[3,4,5,6,7,2,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>4
[7,6,5,4,2,3,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>19
[6,7,5,4,2,3,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[7,5,6,4,2,3,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[5,6,7,4,2,3,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[7,6,4,5,2,3,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[6,7,4,5,2,3,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[7,5,4,6,2,3,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[6,5,4,7,2,3,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[5,6,4,7,2,3,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[5,4,6,7,2,3,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[4,5,6,7,2,3,1,8]=>[[1,2,3,4,8],[5,6],[7]]=>5
[7,6,5,3,2,4,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>19
[6,5,7,3,2,4,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[5,6,7,3,2,4,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[7,6,5,2,3,4,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[6,7,5,2,3,4,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[7,5,6,2,3,4,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[6,5,7,2,3,4,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[5,6,7,2,3,4,1,8]=>[[1,2,3,8],[4,5,6],[7]]=>6
[7,6,4,3,2,5,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>19
[6,7,4,3,2,5,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[6,7,3,4,2,5,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[7,6,4,2,3,5,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[6,7,4,2,3,5,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[7,6,3,2,4,5,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[6,7,3,2,4,5,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[7,6,2,3,4,5,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>12
[6,7,2,3,4,5,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>9
[7,5,4,3,2,6,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>19
[7,4,5,3,2,6,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>20
[7,5,3,4,2,6,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>19
[7,4,3,5,2,6,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>19
[7,4,5,2,3,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[7,5,3,2,4,6,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[7,4,2,3,5,6,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>12
[7,2,3,4,5,6,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>10
[6,5,4,3,2,7,1,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>19
[5,6,4,3,2,7,1,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>14
[5,4,6,3,2,7,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>20
[5,6,3,4,2,7,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[6,3,4,5,2,7,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[5,4,3,6,2,7,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>19
[4,5,3,6,2,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>15
[5,3,4,6,2,7,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[4,3,5,6,2,7,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[3,4,5,6,2,7,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>7
[5,4,6,2,3,7,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[6,5,3,2,4,7,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[6,4,2,3,5,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>12
[6,3,2,4,5,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>12
[6,2,3,4,5,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>10
[5,4,3,2,6,7,1,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[3,4,5,2,6,7,1,8]=>[[1,2,3,5,6,8],[4],[7]]=>8
[5,4,2,3,6,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>12
[4,5,2,3,6,7,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>9
[5,2,3,4,6,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>10
[4,3,2,5,6,7,1,8]=>[[1,4,5,6,8],[2],[3],[7]]=>12
[3,4,2,5,6,7,1,8]=>[[1,2,4,5,6,8],[3],[7]]=>9
[4,2,3,5,6,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>10
[3,2,4,5,6,7,1,8]=>[[1,3,4,5,6,8],[2],[7]]=>10
[2,3,4,5,6,7,1,8]=>[[1,2,3,4,5,6,8],[7]]=>2
[7,6,5,4,3,1,2,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[6,7,5,4,3,1,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[7,5,6,4,3,1,2,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[7,6,4,5,3,1,2,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[5,4,6,7,3,1,2,8]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[4,5,6,7,3,1,2,8]=>[[1,2,3,4,8],[5,7],[6]]=>7
[7,6,5,3,4,1,2,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[6,7,3,4,5,1,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>11
[6,5,4,3,7,1,2,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[6,4,5,3,7,1,2,8]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[5,6,3,4,7,1,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>11
[6,3,4,5,7,1,2,8]=>[[1,3,4,5,8],[2,7],[6]]=>13
[4,3,5,6,7,1,2,8]=>[[1,3,4,5,8],[2,7],[6]]=>13
[3,4,5,6,7,1,2,8]=>[[1,2,3,4,5,8],[6,7]]=>3
[7,6,5,4,2,1,3,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[6,5,7,4,2,1,3,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[7,6,4,5,2,1,3,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[7,5,4,6,2,1,3,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[5,4,6,7,2,1,3,8]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[4,5,6,7,2,1,3,8]=>[[1,2,3,4,8],[5,7],[6]]=>7
[7,6,5,4,1,2,3,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[5,6,7,4,1,2,3,8]=>[[1,2,3,8],[4,6,7],[5]]=>9
[7,4,5,6,1,2,3,8]=>[[1,3,4,8],[2,6,7],[5]]=>15
[5,4,6,7,1,2,3,8]=>[[1,3,4,8],[2,6,7],[5]]=>15
[4,5,6,7,1,2,3,8]=>[[1,2,3,4,8],[5,6,7]]=>4
[7,6,5,3,2,1,4,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[7,6,5,2,3,1,4,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[6,7,5,2,3,1,4,8]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[7,5,6,2,3,1,4,8]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[6,5,7,2,3,1,4,8]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[5,6,7,2,3,1,4,8]=>[[1,2,3,8],[4,5,7],[6]]=>8
[7,6,5,2,1,3,4,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[6,7,5,2,1,3,4,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[7,5,6,2,1,3,4,8]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[5,6,7,2,1,3,4,8]=>[[1,2,3,8],[4,6,7],[5]]=>9
[7,6,5,1,2,3,4,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[6,7,5,1,2,3,4,8]=>[[1,2,6,7,8],[3,5],[4]]=>11
[7,5,6,1,2,3,4,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[6,5,7,1,2,3,4,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[5,6,7,1,2,3,4,8]=>[[1,2,3,7,8],[4,5,6]]=>5
[7,6,4,3,2,1,5,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[6,7,4,3,2,1,5,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[7,6,3,4,2,1,5,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[6,7,3,4,2,1,5,8]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[7,6,4,2,3,1,5,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[7,6,3,2,4,1,5,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[6,7,3,2,4,1,5,8]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[7,6,2,3,4,1,5,8]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[6,7,2,3,4,1,5,8]=>[[1,2,5,7,8],[3,4],[6]]=>10
[7,6,4,3,1,2,5,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[6,7,3,4,1,2,5,8]=>[[1,2,7,8],[3,4],[5,6]]=>8
[7,6,4,2,1,3,5,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[7,6,3,2,1,4,5,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[6,7,3,2,1,4,5,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[7,6,2,3,1,4,5,8]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[6,7,2,3,1,4,5,8]=>[[1,2,6,7,8],[3,4],[5]]=>7
[6,7,3,1,2,4,5,8]=>[[1,2,6,7,8],[3,5],[4]]=>11
[7,6,1,2,3,4,5,8]=>[[1,4,5,6,7,8],[2],[3]]=>8
[6,7,1,2,3,4,5,8]=>[[1,2,5,6,7,8],[3,4]]=>6
[7,5,4,3,2,1,6,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[7,4,5,3,2,1,6,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>18
[7,4,3,5,2,1,6,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[7,3,4,5,2,1,6,8]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[7,5,4,2,3,1,6,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[7,5,3,2,4,1,6,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[7,5,2,3,4,1,6,8]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[7,4,2,3,5,1,6,8]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[7,2,3,4,5,1,6,8]=>[[1,3,4,5,7,8],[2],[6]]=>11
[7,5,4,3,1,2,6,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[7,4,5,2,1,3,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[7,4,5,1,2,3,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[7,5,3,2,1,4,6,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[7,5,2,3,1,4,6,8]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[7,5,3,1,2,4,6,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[7,5,1,2,3,4,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>8
[7,4,3,2,1,5,6,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[7,2,3,4,1,5,6,8]=>[[1,3,4,6,7,8],[2],[5]]=>12
[7,4,3,1,2,5,6,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[7,3,4,1,2,5,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[7,4,1,2,3,5,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>8
[7,3,2,1,4,5,6,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[7,2,3,1,4,5,6,8]=>[[1,3,5,6,7,8],[2],[4]]=>13
[7,3,1,2,4,5,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>8
[7,2,1,3,4,5,6,8]=>[[1,4,5,6,7,8],[2],[3]]=>8
[7,1,2,3,4,5,6,8]=>[[1,3,4,5,6,7,8],[2]]=>7
[6,5,4,3,2,1,7,8]=>[[1,7,8],[2],[3],[4],[5],[6]]=>17
[5,6,4,3,2,1,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[5,4,6,3,2,1,7,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>18
[4,5,6,3,2,1,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[6,5,3,4,2,1,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[5,6,3,4,2,1,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[5,4,3,6,2,1,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[3,4,5,6,2,1,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>5
[5,4,6,2,3,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[5,6,3,2,4,1,7,8]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[6,5,2,3,4,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[5,6,2,3,4,1,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>10
[6,4,3,2,5,1,7,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[6,2,3,4,5,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>11
[5,4,3,2,6,1,7,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[4,5,3,2,6,1,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>12
[4,3,5,2,6,1,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>18
[3,4,5,2,6,1,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>9
[5,3,2,4,6,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[5,2,3,4,6,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>11
[4,3,2,5,6,1,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[3,4,2,5,6,1,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>10
[4,2,3,5,6,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>11
[3,2,4,5,6,1,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>11
[2,3,4,5,6,1,7,8]=>[[1,2,3,4,5,7,8],[6]]=>3
[6,5,4,3,1,2,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[6,4,5,3,1,2,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[5,4,6,3,1,2,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[5,6,3,4,1,2,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>8
[5,4,3,6,1,2,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[4,3,5,6,1,2,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>15
[3,4,5,6,1,2,7,8]=>[[1,2,3,4,7,8],[5,6]]=>4
[6,5,4,2,1,3,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[5,6,4,2,1,3,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[6,4,5,2,1,3,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[4,5,6,2,1,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>9
[6,5,4,1,2,3,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[4,5,6,1,2,3,7,8]=>[[1,2,3,7,8],[4,5,6]]=>5
[6,5,3,2,1,4,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[5,6,3,2,1,4,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[5,6,2,1,3,4,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>11
[6,4,3,2,1,5,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[6,3,4,2,1,5,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[6,4,3,1,2,5,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[6,4,2,1,3,5,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[6,4,1,2,3,5,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>8
[6,2,3,1,4,5,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>13
[6,3,1,2,4,5,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>8
[6,1,2,3,4,5,7,8]=>[[1,3,4,5,6,7,8],[2]]=>7
[5,4,3,2,1,6,7,8]=>[[1,6,7,8],[2],[3],[4],[5]]=>13
[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]]=>15
[4,3,5,2,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[3,4,5,2,1,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>6
[5,4,2,3,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[4,5,2,3,1,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>7
[5,3,2,4,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[5,2,3,4,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>12
[4,3,2,5,1,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[3,4,2,5,1,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>11
[4,2,3,5,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>12
[3,2,4,5,1,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>12
[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]]=>10
[5,3,4,1,2,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[4,3,5,1,2,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[3,4,5,1,2,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>5
[5,4,2,1,3,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[4,5,2,1,3,6,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>11
[5,4,1,2,3,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>8
[4,5,1,2,3,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>6
[5,3,2,1,4,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[5,2,3,1,4,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>13
[5,3,1,2,4,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>8
[5,2,1,3,4,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>8
[5,1,2,3,4,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>7
[4,3,2,1,5,6,7,8]=>[[1,5,6,7,8],[2],[3],[4]]=>10
[3,4,2,1,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>7
[4,2,3,1,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>13
[3,2,4,1,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>13
[2,3,4,1,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>5
[4,3,1,2,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>8
[3,4,1,2,5,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>6
[4,2,1,3,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>8
[4,1,2,3,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>7
[3,2,1,4,5,6,7,8]=>[[1,4,5,6,7,8],[2],[3]]=>8
[2,3,1,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>6
[3,1,2,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>7
[2,1,3,4,5,6,7,8]=>[[1,3,4,5,6,7,8],[2]]=>7
[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]]=>21
[5,8,7,6,4,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>21
[5,7,8,6,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[6,5,8,7,4,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>22
[5,6,8,7,4,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[5,7,6,8,4,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[4,8,7,6,5,3,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>21
[4,7,8,6,5,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[4,6,8,7,5,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[4,7,6,8,5,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[4,6,7,8,5,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[5,4,7,8,6,3,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[4,5,8,7,6,3,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[4,5,7,8,6,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[5,6,4,8,7,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[4,6,5,8,7,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[4,5,6,8,7,3,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[5,7,6,4,8,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>19
[4,7,6,5,8,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>19
[4,6,7,5,8,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>14
[5,4,7,6,8,3,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[4,5,7,6,8,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>14
[4,6,5,7,8,3,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[3,8,7,6,5,4,2,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>21
[3,7,8,6,5,4,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[3,6,8,7,5,4,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[3,7,6,8,5,4,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[3,5,8,7,6,4,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[3,5,7,8,6,4,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[3,5,6,8,7,4,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[3,7,6,5,8,4,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>19
[3,5,7,6,8,4,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>14
[3,5,6,7,8,4,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[4,3,8,7,6,5,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>22
[4,3,7,8,6,5,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[4,3,6,7,8,5,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[3,4,8,7,6,5,2,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[3,4,6,7,8,5,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[5,4,3,8,7,6,2,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[5,4,3,7,8,6,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[3,5,4,7,8,6,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[3,4,5,8,7,6,2,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[3,4,5,7,8,6,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[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]]=>15
[4,5,6,3,8,7,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[3,6,5,4,8,7,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[4,3,6,5,8,7,2,1]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[5,4,3,6,8,7,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[4,5,3,6,8,7,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[3,4,5,6,8,7,2,1]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[5,7,6,4,3,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>18
[4,7,6,5,3,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>18
[5,4,7,6,3,8,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[3,7,6,5,4,8,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>18
[3,5,7,6,4,8,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>13
[3,5,6,7,4,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[4,3,7,6,5,8,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[3,4,7,6,5,8,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>13
[3,4,6,7,5,8,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[4,5,3,7,6,8,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[3,5,4,7,6,8,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[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]]=>9
[3,6,5,4,7,8,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[3,5,6,4,7,8,2,1]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[4,3,6,5,7,8,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[3,4,6,5,7,8,2,1]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[3,5,4,6,7,8,2,1]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[2,8,7,6,5,4,3,1]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>21
[2,7,8,6,5,4,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[2,6,8,7,5,4,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[2,7,6,8,5,4,3,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[2,6,7,8,5,4,3,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[2,5,8,7,6,4,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[2,6,7,5,8,4,3,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>14
[2,5,6,7,8,4,3,1]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[2,4,8,7,6,5,3,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[2,4,7,8,6,5,3,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[2,4,6,8,7,5,3,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[2,4,6,7,8,5,3,1]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[2,5,4,8,7,6,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[2,5,4,7,8,6,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[2,4,5,7,8,6,3,1]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[2,6,5,4,8,7,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[2,5,6,4,8,7,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[2,4,6,5,8,7,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[2,4,5,6,8,7,3,1]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[2,7,6,5,4,8,3,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>18
[2,5,6,7,4,8,3,1]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[2,4,7,6,5,8,3,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>13
[2,4,6,7,5,8,3,1]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[2,5,4,7,6,8,3,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[2,6,5,4,7,8,3,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[2,5,6,4,7,8,3,1]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[2,4,6,5,7,8,3,1]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[2,5,4,6,7,8,3,1]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[2,4,5,6,7,8,3,1]=>[[1,2,3,4,5,6],[7],[8]]=>3
[3,2,8,7,6,5,4,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>22
[3,2,7,8,6,5,4,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[3,2,6,8,7,5,4,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[3,2,5,7,8,6,4,1]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[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]]=>10
[2,3,8,7,6,5,4,1]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[2,3,6,7,8,5,4,1]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[2,3,5,7,8,6,4,1]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[2,3,6,5,8,7,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[2,3,5,6,8,7,4,1]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[2,3,7,6,5,8,4,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>13
[2,3,5,7,6,8,4,1]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[2,3,5,6,7,8,4,1]=>[[1,2,3,4,5,6],[7],[8]]=>3
[4,3,2,8,7,6,5,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[4,3,2,7,8,6,5,1]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[3,4,2,8,7,6,5,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[3,4,2,7,8,6,5,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[2,4,3,8,7,6,5,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[2,4,3,6,8,7,5,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[2,4,3,6,7,8,5,1]=>[[1,2,4,5,6],[3,7],[8]]=>9
[3,2,4,8,7,6,5,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[2,3,4,8,7,6,5,1]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[2,3,4,7,8,6,5,1]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[2,3,4,6,8,7,5,1]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[2,3,4,7,6,8,5,1]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[2,3,4,6,7,8,5,1]=>[[1,2,3,4,5,6],[7],[8]]=>3
[5,4,3,2,8,7,6,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>17
[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]]=>11
[3,4,5,2,7,8,6,1]=>[[1,2,3,5,6],[4,7],[8]]=>8
[2,5,4,3,8,7,6,1]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[2,5,4,3,7,8,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[2,4,5,3,7,8,6,1]=>[[1,2,3,5,6],[4,7],[8]]=>8
[3,2,5,4,7,8,6,1]=>[[1,3,5,6],[2,4,7],[8]]=>15
[2,3,5,4,8,7,6,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[2,3,5,4,7,8,6,1]=>[[1,2,3,5,6],[4,7],[8]]=>8
[4,3,2,5,8,7,6,1]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[4,3,2,5,7,8,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[3,4,2,5,8,7,6,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[3,4,2,5,7,8,6,1]=>[[1,2,4,5,6],[3,7],[8]]=>9
[3,2,4,5,7,8,6,1]=>[[1,3,4,5,6],[2,7],[8]]=>10
[2,3,4,5,8,7,6,1]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[2,3,4,5,7,8,6,1]=>[[1,2,3,4,5,6],[7],[8]]=>3
[6,5,4,3,2,8,7,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>19
[4,6,5,3,2,8,7,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[5,4,6,3,2,8,7,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[4,5,6,3,2,8,7,1]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[3,6,5,4,2,8,7,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[3,5,6,4,2,8,7,1]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[4,3,6,5,2,8,7,1]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[5,4,3,6,2,8,7,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[4,5,3,6,2,8,7,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[3,4,5,6,2,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>7
[2,6,5,4,3,8,7,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[2,4,6,5,3,8,7,1]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[2,4,5,6,3,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>7
[3,2,6,5,4,8,7,1]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[2,3,5,6,4,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>7
[4,3,2,6,5,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[2,4,3,6,5,8,7,1]=>[[1,2,4,6],[3,5,7],[8]]=>13
[3,2,4,6,5,8,7,1]=>[[1,3,4,6],[2,5,7],[8]]=>14
[2,3,4,6,5,8,7,1]=>[[1,2,3,4,6],[5,7],[8]]=>7
[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]]=>11
[2,4,5,3,6,8,7,1]=>[[1,2,3,5,6],[4,7],[8]]=>8
[3,2,5,4,6,8,7,1]=>[[1,3,5,6],[2,4,7],[8]]=>15
[4,3,2,5,6,8,7,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[3,4,2,5,6,8,7,1]=>[[1,2,4,5,6],[3,7],[8]]=>9
[2,4,3,5,6,8,7,1]=>[[1,2,4,5,6],[3,7],[8]]=>9
[3,2,4,5,6,8,7,1]=>[[1,3,4,5,6],[2,7],[8]]=>10
[2,3,4,5,6,8,7,1]=>[[1,2,3,4,5,6],[7],[8]]=>3
[5,7,6,4,3,2,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>17
[4,7,6,5,3,2,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>17
[4,6,7,5,3,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>12
[4,6,5,7,3,2,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>17
[3,5,7,6,4,2,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>12
[3,5,6,7,4,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[4,3,7,6,5,2,8,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[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]]=>12
[3,4,6,7,5,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[5,4,3,7,6,2,8,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[3,5,4,7,6,2,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[3,4,5,7,6,2,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[4,6,5,3,7,2,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>16
[3,6,5,4,7,2,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>16
[3,5,6,4,7,2,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>12
[4,3,6,5,7,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[3,4,6,5,7,2,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>12
[3,5,4,6,7,2,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>13
[2,7,6,5,4,3,8,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>17
[2,6,5,7,4,3,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>17
[2,5,6,7,4,3,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[2,4,6,7,5,3,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[2,5,4,7,6,3,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[2,4,6,5,7,3,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>12
[2,5,4,6,7,3,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>13
[2,4,5,6,7,3,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>5
[3,2,7,6,5,4,8,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[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]]=>19
[3,2,5,6,7,4,8,1]=>[[1,3,4,5,7],[2,6],[8]]=>12
[2,3,7,6,5,4,8,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>12
[2,3,5,7,6,4,8,1]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[2,3,5,6,7,4,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>5
[4,3,2,7,6,5,8,1]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[4,3,2,6,7,5,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[3,4,2,7,6,5,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[3,4,2,6,7,5,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>11
[2,4,3,7,6,5,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[2,4,3,6,7,5,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>11
[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]]=>8
[2,3,4,6,7,5,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>5
[5,4,3,2,7,6,8,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[3,5,4,2,7,6,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[4,3,5,2,7,6,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[3,4,5,2,7,6,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>10
[2,5,4,3,7,6,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[3,2,5,4,7,6,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>17
[2,3,5,4,7,6,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>10
[4,3,2,5,7,6,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[3,4,2,5,7,6,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>11
[2,4,3,5,7,6,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>11
[3,2,4,5,7,6,8,1]=>[[1,3,4,5,7],[2,6],[8]]=>12
[2,3,4,5,7,6,8,1]=>[[1,2,3,4,5,7],[6],[8]]=>5
[3,6,5,4,2,7,8,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>13
[3,5,6,4,2,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[3,4,6,5,2,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[3,5,4,6,2,7,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[2,6,5,4,3,7,8,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>13
[2,5,6,4,3,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[2,4,6,5,3,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[2,4,5,6,3,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>6
[3,2,5,6,4,7,8,1]=>[[1,3,4,6,7],[2,5],[8]]=>13
[2,3,6,5,4,7,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[2,3,5,6,4,7,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>6
[4,3,2,6,5,7,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[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]]=>6
[3,5,4,2,6,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[2,5,4,3,6,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[2,4,5,3,6,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>7
[3,2,5,4,6,7,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>14
[2,3,5,4,6,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>7
[2,4,3,5,6,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>8
[1,8,7,6,5,4,3,2]=>[[1,2],[3],[4],[5],[6],[7],[8]]=>21
[1,7,8,6,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[1,6,8,7,5,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[1,7,6,8,5,4,3,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[1,6,7,8,5,4,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[1,5,8,7,6,4,3,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[1,6,5,8,7,4,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[1,7,6,5,8,4,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>19
[1,6,7,5,8,4,3,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>14
[1,5,7,6,8,4,3,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>14
[1,6,5,7,8,4,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[1,5,6,7,8,4,3,2]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[1,4,8,7,6,5,3,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[1,4,7,8,6,5,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[1,4,6,8,7,5,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[1,4,6,7,8,5,3,2]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[1,5,4,7,8,6,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[1,4,5,8,7,6,3,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[1,4,6,5,8,7,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[1,7,6,5,4,8,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>18
[1,4,7,6,5,8,3,2]=>[[1,2,3,6],[4],[5],[7],[8]]=>13
[1,4,6,7,5,8,3,2]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[1,6,5,4,7,8,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[1,5,6,4,7,8,3,2]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[1,5,4,6,7,8,3,2]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[1,4,5,6,7,8,3,2]=>[[1,2,3,4,5,6],[7],[8]]=>3
[1,3,8,7,6,5,4,2]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[1,3,7,8,6,5,4,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[1,3,6,8,7,5,4,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[1,3,6,7,8,5,4,2]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[1,3,5,8,7,6,4,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[1,3,5,7,8,6,4,2]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[1,3,5,6,8,7,4,2]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[1,3,6,7,5,8,4,2]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[1,3,6,5,7,8,4,2]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[1,3,5,6,7,8,4,2]=>[[1,2,3,4,5,6],[7],[8]]=>3
[1,4,3,8,7,6,5,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[1,4,3,7,8,6,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[1,4,3,6,8,7,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[1,4,3,7,6,8,5,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[1,4,3,6,7,8,5,2]=>[[1,2,4,5,6],[3,7],[8]]=>9
[1,3,4,8,7,6,5,2]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[1,3,4,7,6,8,5,2]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[1,3,4,6,7,8,5,2]=>[[1,2,3,4,5,6],[7],[8]]=>3
[1,5,4,3,8,7,6,2]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[1,4,5,3,8,7,6,2]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[1,4,5,3,7,8,6,2]=>[[1,2,3,5,6],[4,7],[8]]=>8
[1,3,5,4,8,7,6,2]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[1,4,3,5,8,7,6,2]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[1,4,3,5,7,8,6,2]=>[[1,2,4,5,6],[3,7],[8]]=>9
[1,3,4,5,8,7,6,2]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[1,3,4,5,7,8,6,2]=>[[1,2,3,4,5,6],[7],[8]]=>3
[1,6,5,4,3,8,7,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[1,5,6,4,3,8,7,2]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[1,4,6,5,3,8,7,2]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[1,4,5,6,3,8,7,2]=>[[1,2,3,4,6],[5,7],[8]]=>7
[1,3,6,5,4,8,7,2]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[1,4,3,6,5,8,7,2]=>[[1,2,4,6],[3,5,7],[8]]=>13
[1,5,4,3,6,8,7,2]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[1,4,5,3,6,8,7,2]=>[[1,2,3,5,6],[4,7],[8]]=>8
[1,3,4,5,6,8,7,2]=>[[1,2,3,4,5,6],[7],[8]]=>3
[1,7,6,5,4,3,8,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>17
[1,6,7,5,4,3,8,2]=>[[1,2,3,7],[4],[5],[6],[8]]=>12
[1,6,5,7,4,3,8,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>17
[1,5,6,7,4,3,8,2]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[1,4,6,7,5,3,8,2]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[1,5,6,4,7,3,8,2]=>[[1,2,3,5,7],[4],[6],[8]]=>12
[1,4,6,5,7,3,8,2]=>[[1,2,3,5,7],[4],[6],[8]]=>12
[1,5,4,6,7,3,8,2]=>[[1,2,4,5,7],[3],[6],[8]]=>13
[1,4,5,6,7,3,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>5
[1,3,6,5,7,4,8,2]=>[[1,2,3,5,7],[4],[6],[8]]=>12
[1,3,5,6,7,4,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>5
[1,3,4,7,6,5,8,2]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[1,3,4,6,7,5,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>5
[1,3,5,4,7,6,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>10
[1,3,4,5,7,6,8,2]=>[[1,2,3,4,5,7],[6],[8]]=>5
[1,5,4,6,3,7,8,2]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[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]]=>6
[1,5,4,3,6,7,8,2]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[1,4,5,3,6,7,8,2]=>[[1,2,3,5,6,7],[4],[8]]=>7
[1,4,3,5,6,7,8,2]=>[[1,2,4,5,6,7],[3],[8]]=>8
[1,3,4,5,6,7,8,2]=>[[1,2,3,4,5,6,7],[8]]=>1
[2,1,8,7,6,5,4,3]=>[[1,3],[2,4],[5],[6],[7],[8]]=>22
[2,1,7,8,6,5,4,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[2,1,6,8,7,5,4,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[2,1,7,6,8,5,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[2,1,6,7,8,5,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[2,1,5,8,7,6,4,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[2,1,5,7,8,6,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[2,1,6,5,8,7,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[2,1,5,6,8,7,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[2,1,7,6,5,8,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[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]]=>17
[2,1,5,6,7,8,4,3]=>[[1,3,4,5,6],[2,7],[8]]=>10
[2,1,4,8,7,6,5,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[2,1,4,7,8,6,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[2,1,4,6,8,7,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[2,1,4,6,7,8,5,3]=>[[1,3,4,5,6],[2,7],[8]]=>10
[2,1,5,4,8,7,6,3]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[2,1,5,4,7,8,6,3]=>[[1,3,5,6],[2,4,7],[8]]=>15
[2,1,4,5,8,7,6,3]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[2,1,4,5,7,8,6,3]=>[[1,3,4,5,6],[2,7],[8]]=>10
[2,1,6,5,4,8,7,3]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[2,1,5,6,4,8,7,3]=>[[1,3,4,6],[2,5,7],[8]]=>14
[2,1,4,6,5,8,7,3]=>[[1,3,4,6],[2,5,7],[8]]=>14
[2,1,5,4,6,8,7,3]=>[[1,3,5,6],[2,4,7],[8]]=>15
[2,1,4,5,6,8,7,3]=>[[1,3,4,5,6],[2,7],[8]]=>10
[2,1,7,6,5,4,8,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[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]]=>19
[2,1,5,6,7,4,8,3]=>[[1,3,4,5,7],[2,6],[8]]=>12
[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]]=>12
[2,1,5,4,7,6,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>17
[2,1,5,6,4,7,8,3]=>[[1,3,4,6,7],[2,5],[8]]=>13
[2,1,5,4,6,7,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>14
[2,1,4,5,6,7,8,3]=>[[1,3,4,5,6,7],[2,8]]=>8
[1,2,8,7,6,5,4,3]=>[[1,2,3],[4],[5],[6],[7],[8]]=>15
[1,2,7,8,6,5,4,3]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[1,2,7,6,8,5,4,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>14
[1,2,6,7,8,5,4,3]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[1,2,5,8,7,6,4,3]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[1,2,6,5,8,7,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[1,2,5,6,8,7,4,3]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[1,2,7,6,5,8,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>13
[1,2,5,7,6,8,4,3]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[1,2,6,5,7,8,4,3]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[1,2,5,6,7,8,4,3]=>[[1,2,3,4,5,6],[7],[8]]=>3
[1,2,4,8,7,6,5,3]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[1,2,4,7,8,6,5,3]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[1,2,4,6,8,7,5,3]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[1,2,4,6,7,8,5,3]=>[[1,2,3,4,5,6],[7],[8]]=>3
[1,2,5,4,8,7,6,3]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[1,2,4,5,8,7,6,3]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[1,2,4,5,7,8,6,3]=>[[1,2,3,4,5,6],[7],[8]]=>3
[1,2,6,5,4,8,7,3]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[1,2,5,4,6,8,7,3]=>[[1,2,3,5,6],[4,7],[8]]=>8
[1,2,4,5,6,8,7,3]=>[[1,2,3,4,5,6],[7],[8]]=>3
[1,2,7,6,5,4,8,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>12
[1,2,5,7,6,4,8,3]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[1,2,5,6,7,4,8,3]=>[[1,2,3,4,5,7],[6],[8]]=>5
[1,2,4,7,6,5,8,3]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[1,2,5,4,7,6,8,3]=>[[1,2,3,5,7],[4,6],[8]]=>10
[1,2,6,5,4,7,8,3]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[1,2,5,6,4,7,8,3]=>[[1,2,3,4,6,7],[5],[8]]=>6
[1,2,5,4,6,7,8,3]=>[[1,2,3,5,6,7],[4],[8]]=>7
[1,2,4,5,6,7,8,3]=>[[1,2,3,4,5,6,7],[8]]=>1
[3,2,1,8,7,6,5,4]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[3,2,1,7,8,6,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[3,2,1,6,8,7,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[3,2,1,7,6,8,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[3,2,1,6,7,8,5,4]=>[[1,4,5,6],[2,7],[3,8]]=>11
[3,2,1,5,8,7,6,4]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[3,2,1,5,7,8,6,4]=>[[1,4,5,6],[2,7],[3,8]]=>11
[3,2,1,6,5,8,7,4]=>[[1,4,6],[2,5,7],[3,8]]=>15
[3,2,1,5,6,8,7,4]=>[[1,4,5,6],[2,7],[3,8]]=>11
[3,2,1,7,6,5,8,4]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[3,2,1,6,7,5,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>13
[3,2,1,5,7,6,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>13
[3,2,1,6,5,7,8,4]=>[[1,4,6,7],[2,5],[3,8]]=>14
[3,2,1,5,6,7,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>9
[2,3,1,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[2,3,1,7,8,6,5,4]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[2,3,1,6,8,7,5,4]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[2,3,1,7,6,8,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[2,3,1,6,7,8,5,4]=>[[1,2,4,5,6],[3,7],[8]]=>9
[2,3,1,5,7,8,6,4]=>[[1,2,4,5,6],[3,7],[8]]=>9
[2,3,1,6,5,8,7,4]=>[[1,2,4,6],[3,5,7],[8]]=>13
[2,3,1,7,6,5,8,4]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[2,3,1,6,7,5,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>11
[2,3,1,5,7,6,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>11
[2,3,1,5,6,7,8,4]=>[[1,2,4,5,6,7],[3,8]]=>7
[1,3,2,8,7,6,5,4]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[1,3,2,6,8,7,5,4]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[1,3,2,7,6,8,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[1,3,2,6,7,8,5,4]=>[[1,2,4,5,6],[3,7],[8]]=>9
[1,3,2,5,8,7,6,4]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[1,3,2,5,7,8,6,4]=>[[1,2,4,5,6],[3,7],[8]]=>9
[1,3,2,6,5,8,7,4]=>[[1,2,4,6],[3,5,7],[8]]=>13
[1,3,2,5,6,8,7,4]=>[[1,2,4,5,6],[3,7],[8]]=>9
[1,3,2,7,6,5,8,4]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[1,3,2,6,7,5,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>11
[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]]=>7
[2,1,3,8,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[2,1,3,7,8,6,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[2,1,3,6,8,7,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[2,1,3,6,7,8,5,4]=>[[1,3,4,5,6],[2,7],[8]]=>10
[2,1,3,6,5,8,7,4]=>[[1,3,4,6],[2,5,7],[8]]=>14
[2,1,3,5,6,7,8,4]=>[[1,3,4,5,6,7],[2,8]]=>8
[1,2,3,8,7,6,5,4]=>[[1,2,3,4],[5],[6],[7],[8]]=>10
[1,2,3,7,8,6,5,4]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[1,2,3,6,8,7,5,4]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[1,2,3,7,6,8,5,4]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[1,2,3,6,7,8,5,4]=>[[1,2,3,4,5,6],[7],[8]]=>3
[1,2,3,5,8,7,6,4]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[1,2,3,5,7,8,6,4]=>[[1,2,3,4,5,6],[7],[8]]=>3
[1,2,3,6,5,8,7,4]=>[[1,2,3,4,6],[5,7],[8]]=>7
[1,2,3,5,6,8,7,4]=>[[1,2,3,4,5,6],[7],[8]]=>3
[1,2,3,7,6,5,8,4]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[1,2,3,6,7,5,8,4]=>[[1,2,3,4,5,7],[6],[8]]=>5
[1,2,3,5,7,6,8,4]=>[[1,2,3,4,5,7],[6],[8]]=>5
[1,2,3,6,5,7,8,4]=>[[1,2,3,4,6,7],[5],[8]]=>6
[1,2,3,5,6,7,8,4]=>[[1,2,3,4,5,6,7],[8]]=>1
[4,3,2,1,8,7,6,5]=>[[1,5],[2,6],[3,7],[4,8]]=>16
[4,3,2,1,7,8,6,5]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[4,3,2,1,6,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[4,3,2,1,7,6,8,5]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[4,3,2,1,6,7,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[3,4,2,1,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[3,4,2,1,7,8,6,5]=>[[1,2,5,6],[3,7],[4,8]]=>10
[3,4,2,1,6,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>10
[3,4,2,1,7,6,8,5]=>[[1,2,5,7],[3,6],[4,8]]=>12
[3,4,2,1,6,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>8
[2,4,3,1,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[2,4,3,1,7,8,6,5]=>[[1,2,5,6],[3,7],[4,8]]=>10
[2,4,3,1,6,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>10
[2,4,3,1,7,6,8,5]=>[[1,2,5,7],[3,6],[4,8]]=>12
[2,4,3,1,6,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>8
[3,2,4,1,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[3,2,4,1,7,8,6,5]=>[[1,3,5,6],[2,7],[4,8]]=>16
[3,2,4,1,6,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>16
[3,2,4,1,7,6,8,5]=>[[1,3,5,7],[2,6],[4,8]]=>18
[3,2,4,1,6,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>14
[2,3,4,1,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[2,3,4,1,7,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>8
[2,3,4,1,6,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>8
[2,3,4,1,7,6,8,5]=>[[1,2,3,5,7],[4,6],[8]]=>10
[2,3,4,1,6,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>6
[1,4,3,2,8,7,6,5]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[1,4,3,2,6,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>10
[1,4,3,2,7,6,8,5]=>[[1,2,5,7],[3,6],[4,8]]=>12
[1,4,3,2,6,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>8
[1,3,4,2,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[1,3,4,2,7,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>8
[1,3,4,2,6,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>8
[1,3,4,2,7,6,8,5]=>[[1,2,3,5,7],[4,6],[8]]=>10
[1,3,4,2,6,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>6
[2,1,4,3,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[2,1,4,3,7,8,6,5]=>[[1,3,5,6],[2,4,7],[8]]=>15
[2,1,4,3,6,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>15
[2,1,4,3,7,6,8,5]=>[[1,3,5,7],[2,4,6],[8]]=>17
[2,1,4,3,6,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>13
[1,2,4,3,8,7,6,5]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[1,2,4,3,7,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>8
[1,2,4,3,6,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>8
[1,2,4,3,7,6,8,5]=>[[1,2,3,5,7],[4,6],[8]]=>10
[1,2,4,3,6,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>6
[3,2,1,4,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[3,2,1,4,7,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>11
[3,2,1,4,6,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>11
[3,2,1,4,7,6,8,5]=>[[1,4,5,7],[2,6],[3,8]]=>13
[3,2,1,4,6,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>9
[2,3,1,4,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[2,3,1,4,7,8,6,5]=>[[1,2,4,5,6],[3,7],[8]]=>9
[2,3,1,4,7,6,8,5]=>[[1,2,4,5,7],[3,6],[8]]=>11
[2,3,1,4,6,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>7
[1,3,2,4,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[1,3,2,4,6,8,7,5]=>[[1,2,4,5,6],[3,7],[8]]=>9
[1,3,2,4,7,6,8,5]=>[[1,2,4,5,7],[3,6],[8]]=>11
[1,3,2,4,6,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>7
[2,1,3,4,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[2,1,3,4,7,8,6,5]=>[[1,3,4,5,6],[2,7],[8]]=>10
[2,1,3,4,7,6,8,5]=>[[1,3,4,5,7],[2,6],[8]]=>12
[2,1,3,4,6,7,8,5]=>[[1,3,4,5,6,7],[2,8]]=>8
[1,2,3,4,8,7,6,5]=>[[1,2,3,4,5],[6],[7],[8]]=>6
[1,2,3,4,7,8,6,5]=>[[1,2,3,4,5,6],[7],[8]]=>3
[1,2,3,4,6,8,7,5]=>[[1,2,3,4,5,6],[7],[8]]=>3
[1,2,3,4,7,6,8,5]=>[[1,2,3,4,5,7],[6],[8]]=>5
[1,2,3,4,6,7,8,5]=>[[1,2,3,4,5,6,7],[8]]=>1
[5,4,3,2,1,8,7,6]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[5,4,3,2,1,7,8,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[4,5,3,2,1,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[3,5,4,2,1,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[3,5,4,2,1,7,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[4,3,5,2,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[3,4,5,2,1,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>9
[2,5,4,3,1,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[2,5,4,3,1,7,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[2,4,5,3,1,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>9
[2,4,5,3,1,7,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>7
[3,2,5,4,1,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>16
[3,2,5,4,1,7,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>14
[2,3,5,4,1,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>9
[4,3,2,5,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[4,3,2,5,1,7,8,6]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[3,4,2,5,1,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>14
[3,4,2,5,1,7,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>12
[2,4,3,5,1,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>14
[2,4,3,5,1,7,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>12
[3,2,4,5,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>15
[2,3,4,5,1,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>7
[2,3,4,5,1,7,8,6]=>[[1,2,3,4,6,7],[5,8]]=>5
[1,5,4,3,2,8,7,6]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[1,5,4,3,2,7,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[1,4,5,3,2,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>9
[1,4,5,3,2,7,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>7
[1,3,5,4,2,7,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>7
[1,3,4,5,2,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>7
[1,3,4,5,2,7,8,6]=>[[1,2,3,4,6,7],[5,8]]=>5
[2,1,5,4,3,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>16
[2,1,4,5,3,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>14
[1,2,5,4,3,8,7,6]=>[[1,2,3,6],[4,7],[5,8]]=>9
[1,2,5,4,3,7,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>7
[1,2,4,5,3,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>7
[1,2,4,5,3,7,8,6]=>[[1,2,3,4,6,7],[5,8]]=>5
[1,3,2,5,4,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>13
[1,3,2,5,4,7,8,6]=>[[1,2,4,6,7],[3,5,8]]=>11
[2,1,3,5,4,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>14
[2,1,3,5,4,7,8,6]=>[[1,3,4,6,7],[2,5,8]]=>12
[1,2,3,5,4,8,7,6]=>[[1,2,3,4,6],[5,7],[8]]=>7
[1,2,3,5,4,7,8,6]=>[[1,2,3,4,6,7],[5,8]]=>5
[4,3,2,1,5,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[4,3,2,1,5,7,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[2,4,3,1,5,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>10
[3,2,4,1,5,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>16
[3,2,4,1,5,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>14
[2,3,4,1,5,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>8
[2,3,4,1,5,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>6
[1,4,3,2,5,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>10
[1,4,3,2,5,7,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>8
[1,3,4,2,5,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>6
[2,1,4,3,5,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>15
[2,1,4,3,5,7,8,6]=>[[1,3,5,6,7],[2,4,8]]=>13
[1,2,4,3,5,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>8
[1,2,4,3,5,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>6
[3,2,1,4,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>11
[3,2,1,4,5,7,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>9
[2,3,1,4,5,7,8,6]=>[[1,2,4,5,6,7],[3,8]]=>7
[1,3,2,4,5,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>9
[1,3,2,4,5,7,8,6]=>[[1,2,4,5,6,7],[3,8]]=>7
[2,1,3,4,5,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>10
[2,1,3,4,5,7,8,6]=>[[1,3,4,5,6,7],[2,8]]=>8
[1,2,3,4,5,8,7,6]=>[[1,2,3,4,5,6],[7],[8]]=>3
[1,2,3,4,5,7,8,6]=>[[1,2,3,4,5,6,7],[8]]=>1
[6,5,4,3,2,1,8,7]=>[[1,7],[2,8],[3],[4],[5],[6]]=>18
[5,6,4,3,2,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[4,6,5,3,2,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[5,4,6,3,2,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[4,5,6,3,2,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[3,6,5,4,2,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[3,5,6,4,2,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[4,3,6,5,2,1,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[3,4,6,5,2,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[5,4,3,6,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[4,5,3,6,2,1,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[4,3,5,6,2,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[3,4,5,6,2,1,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>6
[2,6,5,4,3,1,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[2,5,6,4,3,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[2,4,6,5,3,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[3,2,6,5,4,1,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[3,2,5,6,4,1,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13
[2,3,6,5,4,1,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[2,3,5,6,4,1,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>6
[4,3,2,6,5,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[3,4,2,6,5,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>12
[2,4,3,6,5,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>12
[5,4,3,2,6,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[4,5,3,2,6,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[3,5,4,2,6,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[4,3,5,2,6,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[3,4,5,2,6,1,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>10
[2,5,4,3,6,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[2,4,5,3,6,1,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>10
[3,2,5,4,6,1,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>17
[4,3,2,5,6,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[3,4,2,5,6,1,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>11
[2,4,3,5,6,1,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>11
[2,3,4,5,6,1,8,7]=>[[1,2,3,4,5,7],[6,8]]=>4
[1,6,5,4,3,2,8,7]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[1,5,6,4,3,2,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[1,5,4,6,3,2,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[1,3,6,5,4,2,8,7]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[1,3,4,5,6,2,8,7]=>[[1,2,3,4,5,7],[6,8]]=>4
[2,1,6,5,4,3,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[2,1,5,6,4,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13
[2,1,4,6,5,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13
[2,1,5,4,6,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>17
[2,1,4,5,6,3,8,7]=>[[1,3,4,5,7],[2,6,8]]=>11
[1,2,4,5,6,3,8,7]=>[[1,2,3,4,5,7],[6,8]]=>4
[3,2,1,6,5,4,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>14
[2,3,1,6,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>12
[1,3,2,6,5,4,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>12
[1,3,2,5,6,4,8,7]=>[[1,2,4,5,7],[3,6,8]]=>10
[2,1,3,5,6,4,8,7]=>[[1,3,4,5,7],[2,6,8]]=>11
[1,2,3,6,5,4,8,7]=>[[1,2,3,4,7],[5,8],[6]]=>6
[1,2,3,5,6,4,8,7]=>[[1,2,3,4,5,7],[6,8]]=>4
[4,3,2,1,6,5,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[3,4,2,1,6,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>11
[2,4,3,1,6,5,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>11
[3,2,4,1,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>17
[2,3,4,1,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>9
[1,3,4,2,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>9
[2,1,4,3,6,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>16
[1,2,4,3,6,5,8,7]=>[[1,2,3,5,7],[4,6,8]]=>9
[2,3,1,4,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>10
[1,3,2,4,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>10
[2,1,3,4,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>11
[1,2,3,4,6,5,8,7]=>[[1,2,3,4,5,7],[6,8]]=>4
[5,4,3,2,1,6,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[4,5,3,2,1,6,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[3,5,4,2,1,6,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[4,3,5,2,1,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[3,4,5,2,1,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>7
[2,5,4,3,1,6,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[2,4,5,3,1,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>7
[3,2,5,4,1,6,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>14
[2,3,5,4,1,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>7
[2,4,3,5,1,6,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>12
[2,3,4,5,1,6,8,7]=>[[1,2,3,4,6,7],[5,8]]=>5
[1,4,5,3,2,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>7
[1,3,5,4,2,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>7
[2,1,4,5,3,6,8,7]=>[[1,3,4,6,7],[2,5,8]]=>12
[1,2,5,4,3,6,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>7
[2,1,3,5,4,6,8,7]=>[[1,3,4,6,7],[2,5,8]]=>12
[1,2,3,5,4,6,8,7]=>[[1,2,3,4,6,7],[5,8]]=>5
[4,3,2,1,5,6,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[3,2,4,1,5,6,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>14
[2,3,4,1,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>6
[1,4,3,2,5,6,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>8
[1,3,4,2,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>6
[2,1,4,3,5,6,8,7]=>[[1,3,5,6,7],[2,4,8]]=>13
[1,2,4,3,5,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>6
[3,2,1,4,5,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>9
[2,3,1,4,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>7
[1,3,2,4,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>7
[2,1,3,4,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>8
[1,2,3,4,5,6,8,7]=>[[1,2,3,4,5,6,7],[8]]=>1
[5,7,6,4,3,2,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>16
[4,7,6,5,3,2,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>16
[4,6,7,5,3,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[5,4,7,6,3,2,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[4,5,7,6,3,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[4,6,5,7,3,2,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[3,5,7,6,4,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[3,5,6,7,4,2,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[4,3,7,6,5,2,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[3,4,7,6,5,2,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[5,4,3,7,6,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[4,5,3,7,6,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[3,5,4,7,6,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[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]]=>15
[3,5,6,4,7,2,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>11
[4,3,6,5,7,2,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[2,7,6,5,4,3,1,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>16
[2,6,7,5,4,3,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[2,5,7,6,4,3,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[2,5,6,7,4,3,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[2,4,6,7,5,3,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[2,5,4,7,6,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[2,5,6,4,7,3,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>11
[2,5,4,6,7,3,1,8]=>[[1,2,4,5,8],[3],[6],[7]]=>12
[2,4,5,6,7,3,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>4
[3,2,7,6,5,4,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[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]]=>18
[3,2,5,6,7,4,1,8]=>[[1,3,4,5,8],[2,6],[7]]=>11
[2,3,7,6,5,4,1,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[2,3,6,7,5,4,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[2,3,5,7,6,4,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[2,3,6,5,7,4,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>11
[2,3,5,6,7,4,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>4
[4,3,2,6,7,5,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[3,4,2,7,6,5,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[3,4,2,6,7,5,1,8]=>[[1,2,4,5,8],[3,6],[7]]=>10
[3,2,4,6,7,5,1,8]=>[[1,3,4,5,8],[2,6],[7]]=>11
[2,3,4,7,6,5,1,8]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[2,3,4,6,7,5,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>4
[5,4,3,2,7,6,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[4,5,3,2,7,6,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[3,5,4,2,7,6,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[4,3,5,2,7,6,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[3,4,5,2,7,6,1,8]=>[[1,2,3,5,8],[4,6],[7]]=>9
[3,2,5,4,7,6,1,8]=>[[1,3,5,8],[2,4,6],[7]]=>16
[4,3,2,5,7,6,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[3,4,2,5,7,6,1,8]=>[[1,2,4,5,8],[3,6],[7]]=>10
[2,3,4,5,7,6,1,8]=>[[1,2,3,4,5,8],[6],[7]]=>4
[3,6,5,4,2,7,1,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>14
[3,5,6,4,2,7,1,8]=>[[1,2,3,6,8],[4],[5],[7]]=>10
[3,4,6,5,2,7,1,8]=>[[1,2,3,6,8],[4],[5],[7]]=>10
[3,5,4,6,2,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>15
[2,5,4,6,3,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>15
[3,2,6,5,4,7,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[2,3,5,6,4,7,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>7
[4,3,2,6,5,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[3,4,2,6,5,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[2,4,3,6,5,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[2,3,4,6,5,7,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>7
[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]]=>8
[1,7,6,5,4,3,2,8]=>[[1,2,8],[3],[4],[5],[6],[7]]=>16
[1,6,7,5,4,3,2,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[1,6,5,7,4,3,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[1,5,6,7,4,3,2,8]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[1,4,7,6,5,3,2,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[1,4,6,7,5,3,2,8]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[1,5,6,4,7,3,2,8]=>[[1,2,3,5,8],[4],[6],[7]]=>11
[1,4,6,5,7,3,2,8]=>[[1,2,3,5,8],[4],[6],[7]]=>11
[1,5,4,6,7,3,2,8]=>[[1,2,4,5,8],[3],[6],[7]]=>12
[1,4,5,6,7,3,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>4
[1,3,6,7,5,4,2,8]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[1,3,5,7,6,4,2,8]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[1,3,6,5,7,4,2,8]=>[[1,2,3,5,8],[4],[6],[7]]=>11
[1,3,5,6,7,4,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>4
[1,3,4,6,7,5,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>4
[1,3,5,4,7,6,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>9
[1,4,3,5,7,6,2,8]=>[[1,2,4,5,8],[3,6],[7]]=>10
[1,3,4,5,7,6,2,8]=>[[1,2,3,4,5,8],[6],[7]]=>4
[1,5,4,6,3,7,2,8]=>[[1,2,4,6,8],[3],[5],[7]]=>15
[1,3,6,5,4,7,2,8]=>[[1,2,3,6,8],[4],[5],[7]]=>10
[1,3,5,6,4,7,2,8]=>[[1,2,3,4,6,8],[5],[7]]=>7
[1,4,3,6,5,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[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]]=>8
[1,3,4,5,6,7,2,8]=>[[1,2,3,4,5,6,8],[7]]=>2
[2,1,7,6,5,4,3,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[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]]=>11
[2,1,4,5,6,7,3,8]=>[[1,3,4,5,6,8],[2,7]]=>9
[1,2,7,6,5,4,3,8]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[1,2,6,7,5,4,3,8]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[1,2,5,7,6,4,3,8]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[1,2,5,6,7,4,3,8]=>[[1,2,3,4,5,8],[6],[7]]=>4
[1,2,4,6,7,5,3,8]=>[[1,2,3,4,5,8],[6],[7]]=>4
[1,2,5,6,4,7,3,8]=>[[1,2,3,4,6,8],[5],[7]]=>7
[1,2,5,4,6,7,3,8]=>[[1,2,3,5,6,8],[4],[7]]=>8
[1,2,4,5,6,7,3,8]=>[[1,2,3,4,5,6,8],[7]]=>2
[3,2,1,7,6,5,4,8]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[3,2,1,5,7,6,4,8]=>[[1,4,5,8],[2,6],[3,7]]=>12
[2,3,1,6,7,5,4,8]=>[[1,2,4,5,8],[3,6],[7]]=>10
[2,3,1,6,5,7,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[2,3,1,5,6,7,4,8]=>[[1,2,4,5,6,8],[3,7]]=>8
[1,3,2,7,6,5,4,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[1,3,2,6,7,5,4,8]=>[[1,2,4,5,8],[3,6],[7]]=>10
[1,3,2,5,7,6,4,8]=>[[1,2,4,5,8],[3,6],[7]]=>10
[1,3,2,6,5,7,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,3,2,5,6,7,4,8]=>[[1,2,4,5,6,8],[3,7]]=>8
[2,1,3,6,7,5,4,8]=>[[1,3,4,5,8],[2,6],[7]]=>11
[1,2,3,7,6,5,4,8]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[1,2,3,6,7,5,4,8]=>[[1,2,3,4,5,8],[6],[7]]=>4
[1,2,3,5,7,6,4,8]=>[[1,2,3,4,5,8],[6],[7]]=>4
[1,2,3,6,5,7,4,8]=>[[1,2,3,4,6,8],[5],[7]]=>7
[1,2,3,5,6,7,4,8]=>[[1,2,3,4,5,6,8],[7]]=>2
[4,3,2,1,7,6,5,8]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[4,3,2,1,6,7,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[3,2,4,1,7,6,5,8]=>[[1,3,5,8],[2,6],[4,7]]=>17
[3,2,4,1,6,7,5,8]=>[[1,3,5,6,8],[2,7],[4]]=>15
[2,3,4,1,7,6,5,8]=>[[1,2,3,5,8],[4,6],[7]]=>9
[2,3,4,1,6,7,5,8]=>[[1,2,3,5,6,8],[4,7]]=>7
[1,4,3,2,7,6,5,8]=>[[1,2,5,8],[3,6],[4,7]]=>11
[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]]=>7
[1,2,4,3,6,7,5,8]=>[[1,2,3,5,6,8],[4,7]]=>7
[3,2,1,4,7,6,5,8]=>[[1,4,5,8],[2,6],[3,7]]=>12
[2,3,1,4,6,7,5,8]=>[[1,2,4,5,6,8],[3,7]]=>8
[1,3,2,4,7,6,5,8]=>[[1,2,4,5,8],[3,6],[7]]=>10
[1,2,3,4,7,6,5,8]=>[[1,2,3,4,5,8],[6],[7]]=>4
[1,2,3,4,6,7,5,8]=>[[1,2,3,4,5,6,8],[7]]=>2
[5,4,3,2,1,7,6,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[4,5,3,2,1,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[3,5,4,2,1,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[3,4,5,2,1,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>8
[2,5,4,3,1,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[2,4,5,3,1,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>8
[3,2,5,4,1,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>15
[2,3,5,4,1,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>8
[3,4,2,5,1,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[2,4,3,5,1,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[2,3,4,5,1,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>6
[1,5,4,3,2,7,6,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[1,4,5,3,2,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>8
[1,3,5,4,2,7,6,8]=>[[1,2,3,6,8],[4,7],[5]]=>8
[1,4,3,5,2,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,3,4,5,2,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>6
[2,1,5,4,3,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>15
[1,2,4,5,3,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>6
[3,2,1,5,4,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>14
[2,3,1,5,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>12
[1,3,2,5,4,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>12
[1,2,3,5,4,7,6,8]=>[[1,2,3,4,6,8],[5,7]]=>6
[4,3,2,1,5,7,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[3,2,4,1,5,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>15
[2,3,4,1,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>7
[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]]=>7
[1,2,4,3,5,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>7
[2,3,1,4,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>8
[1,3,2,4,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>8
[2,1,3,4,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>9
[1,2,3,4,5,7,6,8]=>[[1,2,3,4,5,6,8],[7]]=>2
[3,6,5,4,2,1,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[4,3,6,5,2,1,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[2,4,6,5,3,1,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[2,4,5,6,3,1,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>5
[2,3,6,5,4,1,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[2,3,5,6,4,1,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>5
[4,3,2,6,5,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[2,4,3,6,5,1,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>11
[2,3,4,6,5,1,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>5
[3,5,4,2,6,1,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>12
[2,3,5,4,6,1,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>9
[1,6,5,4,3,2,7,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[1,5,6,4,3,2,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[1,4,6,5,3,2,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[1,5,4,6,3,2,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>13
[1,4,5,6,3,2,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>5
[1,3,5,6,4,2,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>5
[1,4,3,6,5,2,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>11
[1,5,4,3,6,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>12
[1,4,5,3,6,2,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>9
[1,4,3,5,6,2,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>10
[1,3,4,5,6,2,7,8]=>[[1,2,3,4,5,7,8],[6]]=>3
[2,1,5,6,4,3,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>12
[2,1,4,6,5,3,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>12
[1,2,6,5,4,3,7,8]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[1,2,5,6,4,3,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>5
[1,2,4,6,5,3,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>5
[1,2,4,5,6,3,7,8]=>[[1,2,3,4,5,7,8],[6]]=>3
[3,2,1,6,5,4,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>13
[3,2,1,5,6,4,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>11
[2,3,1,6,5,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>11
[2,3,1,5,6,4,7,8]=>[[1,2,4,5,7,8],[3,6]]=>9
[1,3,2,6,5,4,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>11
[1,3,2,5,6,4,7,8]=>[[1,2,4,5,7,8],[3,6]]=>9
[1,2,3,6,5,4,7,8]=>[[1,2,3,4,7,8],[5],[6]]=>5
[1,2,3,5,6,4,7,8]=>[[1,2,3,4,5,7,8],[6]]=>3
[4,3,2,1,6,5,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[2,4,3,1,6,5,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>10
[3,2,4,1,6,5,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>16
[2,3,4,1,6,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>8
[2,1,4,3,6,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>15
[1,2,4,3,6,5,7,8]=>[[1,2,3,5,7,8],[4,6]]=>8
[1,3,2,4,6,5,7,8]=>[[1,2,4,5,7,8],[3,6]]=>9
[2,1,3,4,6,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>10
[1,2,3,4,6,5,7,8]=>[[1,2,3,4,5,7,8],[6]]=>3
[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]]=>6
[3,2,5,4,1,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[2,3,5,4,1,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>6
[2,4,3,5,1,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>11
[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]]=>6
[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]]=>13
[2,1,4,5,3,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>11
[1,2,5,4,3,6,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>6
[3,2,1,5,4,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[2,3,1,5,4,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>10
[1,3,2,5,4,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>10
[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]]=>7
[1,4,3,2,5,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>7
[1,3,4,2,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>5
[2,1,4,3,5,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>12
[1,2,4,3,5,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>5
[1,3,2,4,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>6
[1,2,3,4,8,6,7,5]=>[[1,2,3,4,5,7],[6],[8]]=>5
[1,2,3,5,8,6,7,4]=>[[1,2,3,4,5,7],[6],[8]]=>5
[1,2,3,7,5,6,4,8]=>[[1,2,3,4,6,8],[5],[7]]=>7
[1,2,3,7,5,6,8,4]=>[[1,2,3,4,6,7],[5],[8]]=>6
[1,2,3,8,5,6,7,4]=>[[1,2,3,4,6,7],[5],[8]]=>6
[1,2,3,8,5,7,6,4]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[1,2,3,8,6,5,7,4]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[1,2,3,8,6,7,5,4]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[1,2,4,5,8,6,7,3]=>[[1,2,3,4,5,7],[6],[8]]=>5
[1,2,4,7,5,6,8,3]=>[[1,2,3,4,6,7],[5],[8]]=>6
[1,2,4,8,5,6,7,3]=>[[1,2,3,4,6,7],[5],[8]]=>6
[1,2,4,8,6,5,7,3]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[1,2,5,4,8,6,7,3]=>[[1,2,3,5,7],[4,6],[8]]=>10
[1,2,6,4,5,3,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>9
[1,2,6,4,5,7,8,3]=>[[1,2,3,5,6,7],[4],[8]]=>7
[1,2,7,4,5,6,8,3]=>[[1,2,3,5,6,7],[4],[8]]=>7
[1,2,8,4,5,6,7,3]=>[[1,2,3,5,6,7],[4],[8]]=>7
[1,2,8,4,6,7,5,3]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[1,2,8,4,7,6,5,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>14
[1,2,7,5,4,6,3,8]=>[[1,2,3,6,8],[4],[5],[7]]=>10
[1,2,7,5,4,6,8,3]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[1,2,8,5,4,6,7,3]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[1,2,8,5,4,7,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[1,2,8,5,6,4,7,3]=>[[1,2,3,5,7],[4],[6],[8]]=>12
[1,2,8,5,6,7,4,3]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[1,2,8,6,5,4,7,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>12
[1,2,8,6,5,7,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>13
[1,2,8,7,5,6,4,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>13
[1,3,2,4,8,6,7,5]=>[[1,2,4,5,7],[3,6],[8]]=>11
[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]]=>15
[1,3,2,8,6,5,7,4]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[1,3,2,8,6,7,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[1,3,4,2,8,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>10
[1,3,4,5,8,6,7,2]=>[[1,2,3,4,5,7],[6],[8]]=>5
[1,3,4,8,5,6,7,2]=>[[1,2,3,4,6,7],[5],[8]]=>6
[1,3,6,4,5,2,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>10
[1,3,6,4,5,7,2,8]=>[[1,2,3,5,6,8],[4],[7]]=>8
[1,3,6,4,5,7,8,2]=>[[1,2,3,5,6,7],[4],[8]]=>7
[1,3,6,4,5,8,7,2]=>[[1,2,3,5,6],[4,7],[8]]=>8
[1,3,7,4,5,6,2,8]=>[[1,2,3,5,6,8],[4],[7]]=>8
[1,3,7,4,5,6,8,2]=>[[1,2,3,5,6,7],[4],[8]]=>7
[1,3,8,4,5,6,7,2]=>[[1,2,3,5,6,7],[4],[8]]=>7
[1,3,8,4,6,5,7,2]=>[[1,2,3,5,7],[4],[6],[8]]=>12
[1,3,8,5,4,6,7,2]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[1,3,8,5,4,7,6,2]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[1,3,8,5,6,7,4,2]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[1,3,8,5,7,6,4,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>14
[1,3,8,6,5,7,4,2]=>[[1,2,3,6],[4],[5],[7],[8]]=>13
[1,3,8,7,5,6,4,2]=>[[1,2,3,6],[4],[5],[7],[8]]=>13
[1,4,3,5,8,6,7,2]=>[[1,2,4,5,7],[3,6],[8]]=>11
[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]]=>15
[1,4,3,8,6,5,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[1,4,3,8,6,7,5,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[1,5,3,4,2,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>11
[1,5,3,4,2,7,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>12
[1,5,3,4,2,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>14
[1,5,3,4,6,2,8,7]=>[[1,2,4,5,7],[3,8],[6]]=>11
[1,5,3,4,6,7,2,8]=>[[1,2,4,5,6,8],[3],[7]]=>9
[1,5,3,4,6,7,8,2]=>[[1,2,4,5,6,7],[3],[8]]=>8
[1,5,3,4,8,6,7,2]=>[[1,2,4,5,7],[3,6],[8]]=>11
[1,6,3,4,5,2,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>10
[1,6,3,4,5,8,7,2]=>[[1,2,4,5,6],[3,7],[8]]=>9
[1,7,3,4,5,6,2,8]=>[[1,2,4,5,6,8],[3],[7]]=>9
[1,7,3,4,5,6,8,2]=>[[1,2,4,5,6,7],[3],[8]]=>8
[1,8,3,4,5,6,7,2]=>[[1,2,4,5,6,7],[3],[8]]=>8
[1,8,3,4,6,7,5,2]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[1,6,3,5,4,2,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>13
[1,6,3,5,4,8,7,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[1,7,3,5,4,6,2,8]=>[[1,2,4,6,8],[3],[5],[7]]=>15
[1,8,3,5,4,6,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[1,8,3,5,6,4,7,2]=>[[1,2,4,5,7],[3],[6],[8]]=>13
[1,8,3,5,6,7,4,2]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[1,8,3,5,7,6,4,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[1,7,3,6,5,4,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[1,7,3,6,5,4,8,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>17
[1,8,3,6,5,4,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>17
[1,8,3,7,5,6,4,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>18
[1,8,3,7,6,5,4,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[1,6,4,3,5,2,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>12
[1,6,4,3,5,8,7,2]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[1,8,4,3,5,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[1,8,4,3,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[1,7,4,3,6,5,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[1,8,4,3,6,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[1,8,4,3,6,7,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[1,6,4,5,3,2,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>13
[1,6,4,5,3,2,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[1,6,4,5,3,8,7,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[1,7,4,5,3,6,8,2]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[1,8,4,5,3,6,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[1,7,4,5,6,3,8,2]=>[[1,2,4,5,7],[3],[6],[8]]=>13
[1,8,4,5,6,3,7,2]=>[[1,2,4,5,7],[3],[6],[8]]=>13
[1,8,4,5,6,7,3,2]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[1,7,4,6,5,3,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[1,8,4,6,5,3,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>17
[1,8,4,6,5,7,3,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>18
[1,8,4,7,6,5,3,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[1,7,5,4,3,6,2,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>14
[1,7,5,4,3,6,8,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>13
[1,8,5,4,3,6,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>13
[1,8,5,4,6,3,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>16
[1,8,5,4,6,7,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[1,8,5,4,7,6,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[1,7,6,4,5,3,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>15
[1,8,6,4,5,3,7,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>16
[1,8,6,4,5,7,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[1,8,7,4,5,6,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[1,8,7,4,6,5,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>19
[1,8,6,5,4,3,7,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>17
[1,8,6,5,4,7,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>18
[1,8,7,5,4,6,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>18
[1,8,7,5,6,4,3,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>19
[2,1,3,4,8,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>12
[2,1,3,5,8,6,7,4]=>[[1,3,4,5,7],[2,6],[8]]=>12
[2,1,3,8,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>13
[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]]=>17
[2,1,4,5,8,6,7,3]=>[[1,3,4,5,7],[2,6],[8]]=>12
[2,1,4,8,5,6,7,3]=>[[1,3,4,6,7],[2,5],[8]]=>13
[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]]=>17
[2,1,6,4,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>17
[2,1,6,4,5,7,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>14
[2,1,6,4,5,8,7,3]=>[[1,3,5,6],[2,4,7],[8]]=>15
[2,1,8,4,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>14
[2,1,8,4,5,7,6,3]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[2,1,7,4,6,5,8,3]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[2,1,8,4,6,5,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[2,1,8,4,6,7,5,3]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[2,1,8,4,7,6,5,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[2,1,8,5,4,6,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[2,1,8,5,4,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[2,1,7,5,6,4,8,3]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[2,1,8,5,6,4,7,3]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[2,1,8,5,6,7,4,3]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[2,1,8,5,7,6,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[2,1,8,6,5,4,7,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[2,1,8,6,5,7,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[2,1,8,7,5,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[2,3,1,7,5,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[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]]=>15
[2,3,4,1,8,6,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>10
[2,3,4,5,8,6,7,1]=>[[1,2,3,4,5,7],[6],[8]]=>5
[2,3,4,7,5,6,1,8]=>[[1,2,3,4,6,8],[5],[7]]=>7
[2,3,4,7,5,6,8,1]=>[[1,2,3,4,6,7],[5],[8]]=>6
[2,3,4,8,5,6,7,1]=>[[1,2,3,4,6,7],[5],[8]]=>6
[2,3,4,8,5,7,6,1]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[2,3,4,8,6,5,7,1]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[2,3,4,8,6,7,5,1]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[2,3,5,4,8,6,7,1]=>[[1,2,3,5,7],[4,6],[8]]=>10
[2,3,6,4,5,1,7,8]=>[[1,2,3,5,7,8],[4],[6]]=>9
[2,3,6,4,5,1,8,7]=>[[1,2,3,5,7],[4,8],[6]]=>10
[2,3,6,4,5,7,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>7
[2,3,6,4,5,8,7,1]=>[[1,2,3,5,6],[4,7],[8]]=>8
[2,3,7,4,5,6,8,1]=>[[1,2,3,5,6,7],[4],[8]]=>7
[2,3,8,4,5,6,7,1]=>[[1,2,3,5,6,7],[4],[8]]=>7
[2,3,7,4,6,5,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>12
[2,3,8,4,6,7,5,1]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[2,3,7,5,4,6,1,8]=>[[1,2,3,6,8],[4],[5],[7]]=>10
[2,3,7,5,4,6,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[2,3,8,5,4,6,7,1]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[2,3,7,5,6,4,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>11
[2,3,7,5,6,4,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>12
[2,3,8,5,6,4,7,1]=>[[1,2,3,5,7],[4],[6],[8]]=>12
[2,3,8,5,6,7,4,1]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[2,3,8,5,7,6,4,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>14
[2,3,8,6,5,4,7,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>12
[2,4,3,5,8,6,7,1]=>[[1,2,4,5,7],[3,6],[8]]=>11
[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]]=>15
[2,4,3,8,6,5,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[2,5,3,4,1,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>11
[2,5,3,4,1,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>14
[2,5,3,4,6,7,1,8]=>[[1,2,4,5,6,8],[3],[7]]=>9
[2,5,3,4,6,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>8
[2,5,3,4,6,8,7,1]=>[[1,2,4,5,6],[3,7],[8]]=>9
[2,5,3,4,7,6,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>11
[2,5,3,4,8,6,7,1]=>[[1,2,4,5,7],[3,6],[8]]=>11
[2,5,3,4,8,7,6,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[2,6,3,4,5,1,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>10
[2,6,3,4,5,7,8,1]=>[[1,2,4,5,6,7],[3],[8]]=>8
[2,6,3,4,5,8,7,1]=>[[1,2,4,5,6],[3,7],[8]]=>9
[2,7,3,4,5,6,1,8]=>[[1,2,4,5,6,8],[3],[7]]=>9
[2,8,3,4,5,6,7,1]=>[[1,2,4,5,6,7],[3],[8]]=>8
[2,8,3,4,5,7,6,1]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[2,6,3,5,4,1,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[2,6,3,5,4,7,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[2,6,3,5,4,8,7,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[2,7,3,5,4,6,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[2,8,3,5,4,7,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[2,7,3,5,6,4,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>13
[2,8,3,5,6,7,4,1]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[2,8,3,5,7,6,4,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[2,7,3,6,5,4,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[2,8,3,7,5,6,4,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>18
[2,8,3,7,6,5,4,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[2,5,4,3,8,6,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[2,6,4,3,5,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[2,6,4,3,5,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[2,6,4,3,5,8,7,1]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[2,7,4,3,5,6,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[2,8,4,3,5,6,7,1]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[2,8,4,3,5,7,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[2,7,4,3,6,5,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[2,8,4,3,6,5,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[2,8,4,3,6,7,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[2,8,4,3,7,6,5,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[2,6,4,5,3,1,7,8]=>[[1,2,4,7,8],[3],[5],[6]]=>13
[2,6,4,5,3,7,8,1]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[2,8,4,5,3,6,7,1]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[2,7,4,5,6,3,1,8]=>[[1,2,4,5,8],[3],[6],[7]]=>12
[2,7,4,5,6,3,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>13
[2,8,4,5,6,3,7,1]=>[[1,2,4,5,7],[3],[6],[8]]=>13
[2,8,4,5,6,7,3,1]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[2,7,4,6,5,3,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[2,7,4,6,5,3,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>17
[2,8,4,6,5,3,7,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>17
[2,8,4,7,6,5,3,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[2,7,5,4,3,6,8,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>13
[2,8,5,4,3,6,7,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>13
[2,8,5,4,3,7,6,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[2,7,5,4,6,3,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>16
[2,8,5,4,6,7,3,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[2,8,5,4,7,6,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[2,7,6,4,5,3,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>16
[2,8,7,4,5,6,3,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[2,8,7,4,6,5,3,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>19
[2,8,7,5,4,6,3,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>18
[2,8,7,5,6,4,3,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>19
[3,2,1,4,8,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>13
[3,2,1,5,8,6,7,4]=>[[1,4,5,7],[2,6],[3,8]]=>13
[3,2,1,7,5,6,8,4]=>[[1,4,6,7],[2,5],[3,8]]=>14
[3,2,1,8,5,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>14
[3,2,1,8,5,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[3,2,1,8,6,5,7,4]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[3,2,1,8,6,7,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[3,2,4,1,8,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>18
[3,2,4,5,8,6,7,1]=>[[1,3,4,5,7],[2,6],[8]]=>12
[3,2,4,7,5,6,8,1]=>[[1,3,4,6,7],[2,5],[8]]=>13
[3,2,4,8,5,6,7,1]=>[[1,3,4,6,7],[2,5],[8]]=>13
[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]]=>17
[3,2,6,4,5,1,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>17
[3,2,7,4,5,6,1,8]=>[[1,3,5,6,8],[2,4],[7]]=>15
[3,2,8,4,5,6,7,1]=>[[1,3,5,6,7],[2,4],[8]]=>14
[3,2,7,4,6,5,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[3,2,7,4,6,5,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[3,2,8,4,6,5,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[3,2,7,5,4,6,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[3,2,8,5,4,6,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[3,2,8,5,4,7,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[3,2,7,5,6,4,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[3,2,7,5,6,4,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[3,2,8,5,6,4,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[3,2,8,5,7,6,4,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[3,2,8,6,5,7,4,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[3,2,8,7,5,6,4,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[4,2,3,1,5,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>15
[4,2,3,1,5,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>14
[4,2,3,1,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>17
[4,2,3,1,6,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>14
[4,2,3,1,6,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>16
[4,2,3,1,7,6,8,5]=>[[1,3,5,7],[2,6],[4,8]]=>18
[4,2,3,1,8,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>18
[4,2,3,1,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[4,2,3,5,1,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>13
[4,2,3,5,1,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>13
[4,2,3,5,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>15
[4,2,3,5,6,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>12
[4,2,3,5,6,8,7,1]=>[[1,3,4,5,6],[2,7],[8]]=>10
[4,2,3,5,8,7,6,1]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[4,2,3,6,5,8,7,1]=>[[1,3,4,6],[2,5,7],[8]]=>14
[4,2,3,7,5,6,1,8]=>[[1,3,4,6,8],[2,5],[7]]=>14
[4,2,3,7,5,6,8,1]=>[[1,3,4,6,7],[2,5],[8]]=>13
[4,2,3,8,5,6,7,1]=>[[1,3,4,6,7],[2,5],[8]]=>13
[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]]=>17
[5,2,3,4,1,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>13
[5,2,3,4,1,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>13
[5,2,3,4,1,8,7,6]=>[[1,3,4,6],[2,7],[5,8]]=>15
[5,2,3,4,6,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>12
[5,2,3,4,7,6,1,8]=>[[1,3,4,5,8],[2,6],[7]]=>11
[5,2,3,4,8,6,7,1]=>[[1,3,4,5,7],[2,6],[8]]=>12
[5,2,3,4,8,7,6,1]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[6,2,3,4,5,1,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>12
[6,2,3,4,5,8,7,1]=>[[1,3,4,5,6],[2,7],[8]]=>10
[8,2,3,4,5,7,6,1]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[7,2,3,4,6,5,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>13
[6,2,3,5,4,1,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[6,2,3,5,4,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[6,2,3,5,4,7,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[6,2,3,5,4,7,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[7,2,3,5,4,6,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[8,2,3,5,4,6,7,1]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[7,2,3,5,6,4,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>13
[8,2,3,5,6,7,4,1]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[8,2,3,5,7,6,4,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[7,2,3,6,5,4,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[8,2,3,6,5,4,7,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>18
[8,2,3,7,5,6,4,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[5,2,4,3,1,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[5,2,4,3,1,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[5,2,4,3,1,7,6,8]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[5,2,4,3,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[5,2,4,3,6,1,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>18
[5,2,4,3,6,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[5,2,4,3,6,7,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>17
[5,2,4,3,7,6,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[5,2,4,3,7,6,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[5,2,4,3,8,7,6,1]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[6,2,4,3,5,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[7,2,4,3,6,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[7,2,4,3,6,5,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[8,2,4,3,6,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[8,2,4,3,6,7,5,1]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[6,2,4,5,3,1,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[7,2,4,5,3,6,1,8]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[7,2,4,5,3,6,8,1]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[8,2,4,5,3,7,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[8,2,4,5,6,7,3,1]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[8,2,4,5,7,6,3,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[7,2,4,6,5,3,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[7,2,4,6,5,3,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>18
[8,2,4,7,5,6,3,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[8,2,4,7,6,5,3,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>21
[6,2,5,4,3,1,7,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>18
[6,2,5,4,3,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[6,2,5,4,3,7,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>20
[6,2,5,4,3,7,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>19
[7,2,5,4,3,6,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>20
[8,2,5,4,3,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>19
[8,2,5,4,3,7,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[7,2,5,4,6,3,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[8,2,5,4,7,6,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[7,2,6,4,5,3,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>21
[7,2,6,4,5,3,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[8,2,6,4,5,3,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[8,2,6,4,5,7,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>20
[8,2,7,4,5,6,3,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>20
[8,2,7,4,6,5,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>25
[7,2,6,5,4,3,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>23
[8,2,6,5,4,3,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>23
[8,2,6,5,4,7,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>24
[8,2,7,5,4,6,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>24
[8,2,7,5,6,4,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>25
[8,2,7,6,5,4,3,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>27
[4,3,2,1,8,6,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[4,3,2,7,5,6,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[4,3,2,8,5,6,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[4,3,2,8,5,7,6,1]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[4,3,2,8,6,7,5,1]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[5,3,2,4,1,6,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[5,3,2,4,1,7,6,8]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[5,3,2,4,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[5,3,2,4,6,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[5,3,2,4,7,6,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[8,3,2,4,6,7,5,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[6,3,2,5,4,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[6,3,2,5,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[6,3,2,5,4,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[6,3,2,5,4,7,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[6,3,2,5,4,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[7,3,2,5,4,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[8,3,2,5,4,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[7,3,2,5,6,4,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[8,3,2,5,6,4,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[8,3,2,5,6,7,4,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[8,3,2,5,7,6,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[8,3,2,6,5,7,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[8,3,2,7,5,6,4,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[8,3,2,7,6,5,4,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>21
[5,3,4,2,1,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[5,3,4,2,1,7,8,6]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[5,3,4,2,1,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[5,3,4,2,6,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[5,3,4,2,7,6,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[5,3,4,2,7,6,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[5,3,4,2,8,6,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[6,3,4,2,5,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[7,3,4,2,6,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[7,3,4,2,6,5,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[8,3,4,2,6,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[6,3,4,5,2,1,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[6,3,4,5,2,8,7,1]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[8,3,4,5,2,7,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[8,3,4,5,7,6,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[7,3,4,6,5,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[8,3,4,7,6,5,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>21
[6,3,5,4,2,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[6,3,5,4,2,7,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>20
[6,3,5,4,2,7,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>19
[6,3,5,4,2,8,7,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[7,3,5,4,2,6,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>20
[8,3,5,4,2,6,7,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>19
[8,3,5,4,2,7,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[7,3,5,4,6,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>21
[7,3,5,4,6,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[8,3,5,4,6,7,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>20
[8,3,5,4,7,6,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[7,3,6,4,5,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>21
[7,3,6,4,5,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[8,3,6,4,5,2,7,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[8,3,7,4,5,6,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>20
[8,3,7,4,6,5,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>25
[7,3,6,5,4,2,1,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>22
[7,3,6,5,4,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>23
[8,3,6,5,4,2,7,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>23
[8,3,6,5,4,7,2,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>24
[8,3,7,5,4,6,2,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>24
[8,3,7,5,6,4,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>25
[8,3,7,6,5,4,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>27
[5,4,3,2,8,6,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[6,4,3,2,5,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[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]]=>17
[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]]=>17
[6,4,3,5,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[8,4,3,5,2,7,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[8,4,3,5,7,6,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[7,4,3,6,5,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[7,4,3,6,5,2,8,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[8,4,3,7,5,6,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[8,4,3,7,6,5,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>21
[6,5,3,4,2,1,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[8,5,3,4,2,7,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[8,5,3,4,7,6,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[8,7,3,4,6,5,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>20
[7,6,3,5,4,2,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>21
[7,6,3,5,4,2,8,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>22
[8,6,3,5,4,7,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>23
[8,7,3,5,4,6,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>23
[8,7,3,5,6,4,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>20
[8,7,3,6,5,4,2,1]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>26
[8,5,4,3,2,7,6,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>19
[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]]=>26
[2,4,1,3,6,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>10
[2,1,4,6,3,5,8,7]=>[[1,3,4,7],[2,5,6,8]]=>12
[2,4,1,6,3,5,8,7]=>[[1,2,4,7],[3,5,6,8]]=>11
[2,4,6,1,3,5,8,7]=>[[1,2,3,7],[4,5,6,8]]=>6
[2,1,4,3,6,8,5,7]=>[[1,3,5,6],[2,4,7,8]]=>14
[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]]=>13
[2,4,1,6,3,8,5,7]=>[[1,2,4,6],[3,5,7,8]]=>12
[2,4,6,1,3,8,5,7]=>[[1,2,3,6],[4,5,7,8]]=>7
[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]]=>9
[2,4,6,1,8,3,5,7]=>[[1,2,3,5],[4,6,7,8]]=>8
[2,4,6,8,1,3,5,7]=>[[1,2,3,4],[5,6,7,8]]=>4
[2,4,1,3,6,5,7,8]=>[[1,2,5,7,8],[3,4,6]]=>9
[2,1,4,6,3,5,7,8]=>[[1,3,4,7,8],[2,5,6]]=>11
[2,4,1,6,3,5,7,8]=>[[1,2,4,7,8],[3,5,6]]=>10
[2,4,6,1,3,5,7,8]=>[[1,2,3,7,8],[4,5,6]]=>5
[2,1,4,6,3,7,5,8]=>[[1,3,4,6,8],[2,5,7]]=>13
[2,4,1,6,3,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>12
[2,4,6,1,3,7,5,8]=>[[1,2,3,6,8],[4,5,7]]=>7
[2,4,6,7,1,3,5,8]=>[[1,2,3,4,8],[5,6,7]]=>4
[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]]=>12
[2,4,1,6,3,7,8,5]=>[[1,2,4,6,7],[3,5,8]]=>11
[2,1,4,6,7,3,8,5]=>[[1,3,4,5,7],[2,6,8]]=>11
[2,4,1,6,7,3,8,5]=>[[1,2,4,5,7],[3,6,8]]=>10
[2,4,6,1,7,3,8,5]=>[[1,2,3,5,7],[4,6,8]]=>9
[2,4,6,7,1,3,8,5]=>[[1,2,3,4,7],[5,6,8]]=>5
[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]]=>8
[2,4,6,7,8,1,3,5]=>[[1,2,3,4,5],[6,7,8]]=>3
[2,1,4,3,7,5,8,6]=>[[1,3,5,7],[2,4,6,8]]=>16
[2,4,1,3,7,5,8,6]=>[[1,2,5,7],[3,4,6,8]]=>10
[2,1,4,7,3,5,8,6]=>[[1,3,4,7],[2,5,6,8]]=>12
[2,4,1,7,3,5,8,6]=>[[1,2,4,7],[3,5,6,8]]=>11
[2,4,7,1,3,5,8,6]=>[[1,2,3,7],[4,5,6,8]]=>6
[2,1,4,3,7,8,5,6]=>[[1,3,5,6],[2,4,7,8]]=>14
[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]]=>12
[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]]=>9
[2,4,7,1,8,3,5,6]=>[[1,2,3,5],[4,6,7,8]]=>8
[2,4,7,8,1,3,5,6]=>[[1,2,3,4],[5,6,7,8]]=>4
[2,4,1,5,3,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>12
[2,4,5,1,3,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>7
[2,4,5,1,7,3,6,8]=>[[1,2,3,5,8],[4,6,7]]=>8
[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]]=>11
[2,4,5,1,3,7,8,6]=>[[1,2,3,6,7],[4,5,8]]=>6
[2,1,4,5,7,3,8,6]=>[[1,3,4,5,7],[2,6,8]]=>11
[2,4,1,5,7,3,8,6]=>[[1,2,4,5,7],[3,6,8]]=>10
[2,4,5,1,7,3,8,6]=>[[1,2,3,5,7],[4,6,8]]=>9
[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]]=>7
[2,4,5,7,1,8,3,6]=>[[1,2,3,4,6],[5,7,8]]=>6
[2,4,5,7,8,1,3,6]=>[[1,2,3,4,5],[6,7,8]]=>3
[2,1,4,3,8,5,6,7]=>[[1,3,5,7,8],[2,4,6]]=>15
[2,4,1,3,8,5,6,7]=>[[1,2,5,7,8],[3,4,6]]=>9
[2,1,4,8,3,5,6,7]=>[[1,3,4,7,8],[2,5,6]]=>11
[2,4,1,8,3,5,6,7]=>[[1,2,4,7,8],[3,5,6]]=>10
[2,4,8,1,3,5,6,7]=>[[1,2,3,7,8],[4,5,6]]=>5
[2,1,4,3,5,8,6,7]=>[[1,3,5,6,8],[2,4,7]]=>14
[2,4,1,5,3,8,6,7]=>[[1,2,4,6,8],[3,5,7]]=>12
[2,1,4,5,8,3,6,7]=>[[1,3,4,5,8],[2,6,7]]=>10
[2,4,1,5,8,3,6,7]=>[[1,2,4,5,8],[3,6,7]]=>9
[2,4,5,1,8,3,6,7]=>[[1,2,3,5,8],[4,6,7]]=>8
[2,4,1,5,3,6,8,7]=>[[1,2,4,6,7],[3,5,8]]=>11
[2,4,1,5,6,3,8,7]=>[[1,2,4,5,7],[3,6,8]]=>10
[2,4,5,1,6,3,8,7]=>[[1,2,3,5,7],[4,6,8]]=>9
[2,4,5,6,1,3,8,7]=>[[1,2,3,4,7],[5,6,8]]=>5
[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]]=>8
[2,4,5,1,6,8,3,7]=>[[1,2,3,5,6],[4,7,8]]=>7
[2,4,5,6,1,8,3,7]=>[[1,2,3,4,6],[5,7,8]]=>6
[2,4,5,6,8,1,3,7]=>[[1,2,3,4,5],[6,7,8]]=>3
[2,4,1,3,5,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>6
[2,4,1,5,3,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>10
[2,4,5,1,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>5
[2,4,1,5,6,3,7,8]=>[[1,2,4,5,7,8],[3,6]]=>9
[2,4,5,1,6,3,7,8]=>[[1,2,3,5,7,8],[4,6]]=>8
[2,4,5,6,1,3,7,8]=>[[1,2,3,4,7,8],[5,6]]=>4
[2,4,1,5,6,7,3,8]=>[[1,2,4,5,6,8],[3,7]]=>8
[2,4,5,6,1,7,3,8]=>[[1,2,3,4,6,8],[5,7]]=>6
[2,4,5,6,7,1,3,8]=>[[1,2,3,4,5,8],[6,7]]=>3
[2,4,1,5,6,7,8,3]=>[[1,2,4,5,6,7],[3,8]]=>7
[2,4,5,1,6,7,8,3]=>[[1,2,3,5,6,7],[4,8]]=>6
[2,4,5,6,1,7,8,3]=>[[1,2,3,4,6,7],[5,8]]=>5
[2,4,5,6,7,1,8,3]=>[[1,2,3,4,5,7],[6,8]]=>4
[2,4,5,6,7,8,1,3]=>[[1,2,3,4,5,6],[7,8]]=>2
[2,1,5,3,6,4,8,7]=>[[1,3,5,7],[2,4,6,8]]=>16
[2,5,1,3,6,4,8,7]=>[[1,2,5,7],[3,4,6,8]]=>10
[2,1,5,6,3,4,8,7]=>[[1,3,4,7],[2,5,6,8]]=>12
[2,5,1,6,3,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>11
[2,5,6,1,3,4,8,7]=>[[1,2,3,7],[4,5,6,8]]=>6
[2,1,5,3,6,8,4,7]=>[[1,3,5,6],[2,4,7,8]]=>14
[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]]=>7
[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]]=>9
[2,5,6,8,1,3,4,7]=>[[1,2,3,4],[5,6,7,8]]=>4
[2,5,1,3,6,4,7,8]=>[[1,2,5,7,8],[3,4,6]]=>9
[2,1,5,6,3,4,7,8]=>[[1,3,4,7,8],[2,5,6]]=>11
[2,5,1,6,3,4,7,8]=>[[1,2,4,7,8],[3,5,6]]=>10
[2,1,5,3,6,7,4,8]=>[[1,3,5,6,8],[2,4,7]]=>14
[2,1,5,6,3,7,4,8]=>[[1,3,4,6,8],[2,5,7]]=>13
[2,5,1,6,3,7,4,8]=>[[1,2,4,6,8],[3,5,7]]=>12
[2,5,6,1,3,7,4,8]=>[[1,2,3,6,8],[4,5,7]]=>7
[2,1,5,6,7,3,4,8]=>[[1,3,4,5,8],[2,6,7]]=>10
[2,5,1,6,7,3,4,8]=>[[1,2,4,5,8],[3,6,7]]=>9
[2,5,6,1,7,3,4,8]=>[[1,2,3,5,8],[4,6,7]]=>8
[2,1,5,3,6,7,8,4]=>[[1,3,5,6,7],[2,4,8]]=>13
[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]]=>12
[2,5,1,6,3,7,8,4]=>[[1,2,4,6,7],[3,5,8]]=>11
[2,5,6,1,3,7,8,4]=>[[1,2,3,6,7],[4,5,8]]=>6
[2,1,5,6,7,3,8,4]=>[[1,3,4,5,7],[2,6,8]]=>11
[2,5,1,6,7,3,8,4]=>[[1,2,4,5,7],[3,6,8]]=>10
[2,5,6,7,1,3,8,4]=>[[1,2,3,4,7],[5,6,8]]=>5
[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]]=>8
[2,5,6,1,7,8,3,4]=>[[1,2,3,5,6],[4,7,8]]=>7
[2,5,6,7,1,8,3,4]=>[[1,2,3,4,6],[5,7,8]]=>6
[2,5,6,7,8,1,3,4]=>[[1,2,3,4,5],[6,7,8]]=>3
[2,1,5,3,7,4,8,6]=>[[1,3,5,7],[2,4,6,8]]=>16
[2,5,1,3,7,4,8,6]=>[[1,2,5,7],[3,4,6,8]]=>10
[2,1,5,7,3,4,8,6]=>[[1,3,4,7],[2,5,6,8]]=>12
[2,5,1,7,3,4,8,6]=>[[1,2,4,7],[3,5,6,8]]=>11
[2,5,7,1,3,4,8,6]=>[[1,2,3,7],[4,5,6,8]]=>6
[2,1,5,3,7,8,4,6]=>[[1,3,5,6],[2,4,7,8]]=>14
[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]]=>13
[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]]=>9
[2,5,7,1,8,3,4,6]=>[[1,2,3,5],[4,6,7,8]]=>8
[2,5,7,8,1,3,4,6]=>[[1,2,3,4],[5,6,7,8]]=>4
[2,5,1,3,7,4,6,8]=>[[1,2,5,7,8],[3,4,6]]=>9
[2,1,5,7,3,4,6,8]=>[[1,3,4,7,8],[2,5,6]]=>11
[2,3,5,1,4,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>7
[2,3,5,7,1,4,6,8]=>[[1,2,3,4,8],[5,6,7]]=>4
[2,3,5,1,7,4,8,6]=>[[1,2,3,5,7],[4,6,8]]=>9
[2,3,5,7,1,4,8,6]=>[[1,2,3,4,7],[5,6,8]]=>5
[2,3,1,5,7,8,4,6]=>[[1,2,4,5,6],[3,7,8]]=>8
[2,3,5,7,1,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6
[2,3,5,7,8,1,4,6]=>[[1,2,3,4,5],[6,7,8]]=>3
[2,1,5,3,8,4,6,7]=>[[1,3,5,7,8],[2,4,6]]=>15
[2,5,1,3,8,4,6,7]=>[[1,2,5,7,8],[3,4,6]]=>9
[2,1,5,8,3,4,6,7]=>[[1,3,4,7,8],[2,5,6]]=>11
[2,5,1,8,3,4,6,7]=>[[1,2,4,7,8],[3,5,6]]=>10
[2,5,8,1,3,4,6,7]=>[[1,2,3,7,8],[4,5,6]]=>5
[2,3,5,1,4,8,6,7]=>[[1,2,3,6,8],[4,5,7]]=>7
[2,1,3,5,8,4,6,7]=>[[1,3,4,5,8],[2,6,7]]=>10
[2,3,5,1,8,4,6,7]=>[[1,2,3,5,8],[4,6,7]]=>8
[2,3,5,8,1,4,6,7]=>[[1,2,3,4,8],[5,6,7]]=>4
[2,1,5,3,4,6,8,7]=>[[1,3,5,6,7],[2,4,8]]=>13
[2,3,5,1,6,4,8,7]=>[[1,2,3,5,7],[4,6,8]]=>9
[2,3,5,6,1,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>5
[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]]=>8
[2,3,5,1,6,8,4,7]=>[[1,2,3,5,6],[4,7,8]]=>7
[2,3,5,6,1,8,4,7]=>[[1,2,3,4,6],[5,7,8]]=>6
[2,3,5,6,8,1,4,7]=>[[1,2,3,4,5],[6,7,8]]=>3
[2,1,5,3,4,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>12
[2,5,1,3,4,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>6
[2,3,5,1,4,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>5
[2,3,5,1,6,4,7,8]=>[[1,2,3,5,7,8],[4,6]]=>8
[2,3,5,6,1,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>4
[2,3,5,6,7,1,4,8]=>[[1,2,3,4,5,8],[6,7]]=>3
[2,3,5,1,6,7,8,4]=>[[1,2,3,5,6,7],[4,8]]=>6
[2,3,5,6,1,7,8,4]=>[[1,2,3,4,6,7],[5,8]]=>5
[2,3,5,6,7,1,8,4]=>[[1,2,3,4,5,7],[6,8]]=>4
[2,3,5,6,7,8,1,4]=>[[1,2,3,4,5,6],[7,8]]=>2
[2,1,6,3,7,4,8,5]=>[[1,3,5,7],[2,4,6,8]]=>16
[2,6,1,3,7,4,8,5]=>[[1,2,5,7],[3,4,6,8]]=>10
[2,1,6,7,3,4,8,5]=>[[1,3,4,7],[2,5,6,8]]=>12
[2,6,1,7,3,4,8,5]=>[[1,2,4,7],[3,5,6,8]]=>11
[2,6,7,1,3,4,8,5]=>[[1,2,3,7],[4,5,6,8]]=>6
[2,1,6,3,7,8,4,5]=>[[1,3,5,6],[2,4,7,8]]=>14
[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]]=>12
[2,6,7,1,3,8,4,5]=>[[1,2,3,6],[4,5,7,8]]=>7
[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]]=>9
[2,6,7,1,8,3,4,5]=>[[1,2,3,5],[4,6,7,8]]=>8
[2,6,7,8,1,3,4,5]=>[[1,2,3,4],[5,6,7,8]]=>4
[2,1,6,3,7,4,5,8]=>[[1,3,5,7,8],[2,4,6]]=>15
[2,6,1,7,3,4,5,8]=>[[1,2,4,7,8],[3,5,6]]=>10
[2,6,7,1,3,4,5,8]=>[[1,2,3,7,8],[4,5,6]]=>5
[2,6,1,3,4,7,5,8]=>[[1,2,5,6,8],[3,4,7]]=>8
[2,3,1,6,4,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>12
[2,3,6,1,4,7,5,8]=>[[1,2,3,6,8],[4,5,7]]=>7
[2,1,6,3,4,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>13
[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]]=>6
[2,1,3,6,7,4,8,5]=>[[1,3,4,5,7],[2,6,8]]=>11
[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]]=>8
[2,3,6,1,7,8,4,5]=>[[1,2,3,5,6],[4,7,8]]=>7
[2,3,6,7,1,8,4,5]=>[[1,2,3,4,6],[5,7,8]]=>6
[2,3,6,7,8,1,4,5]=>[[1,2,3,4,5],[6,7,8]]=>3
[2,1,6,3,8,4,5,7]=>[[1,3,5,7,8],[2,4,6]]=>15
[2,6,1,3,8,4,5,7]=>[[1,2,5,7,8],[3,4,6]]=>9
[2,1,6,8,3,4,5,7]=>[[1,3,4,7,8],[2,5,6]]=>11
[2,6,1,8,3,4,5,7]=>[[1,2,4,7,8],[3,5,6]]=>10
[2,6,8,1,3,4,5,7]=>[[1,2,3,7,8],[4,5,6]]=>5
[2,1,6,3,4,8,5,7]=>[[1,3,5,6,8],[2,4,7]]=>14
[2,6,1,3,4,8,5,7]=>[[1,2,5,6,8],[3,4,7]]=>8
[2,3,1,6,4,8,5,7]=>[[1,2,4,6,8],[3,5,7]]=>12
[2,3,6,1,4,8,5,7]=>[[1,2,3,6,8],[4,5,7]]=>7
[2,3,1,6,8,4,5,7]=>[[1,2,4,5,8],[3,6,7]]=>9
[2,3,6,1,8,4,5,7]=>[[1,2,3,5,8],[4,6,7]]=>8
[2,1,6,3,4,5,8,7]=>[[1,3,5,6,7],[2,4,8]]=>13
[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]]=>12
[2,3,6,1,4,5,8,7]=>[[1,2,3,6,7],[4,5,8]]=>6
[2,3,4,1,6,8,5,7]=>[[1,2,3,5,6],[4,7,8]]=>7
[2,3,4,6,1,8,5,7]=>[[1,2,3,4,6],[5,7,8]]=>6
[2,3,4,6,8,1,5,7]=>[[1,2,3,4,5],[6,7,8]]=>3
[2,6,1,3,4,5,7,8]=>[[1,2,5,6,7,8],[3,4]]=>6
[2,1,3,6,4,5,7,8]=>[[1,3,4,6,7,8],[2,5]]=>11
[2,3,1,6,4,5,7,8]=>[[1,2,4,6,7,8],[3,5]]=>10
[2,3,6,1,4,5,7,8]=>[[1,2,3,6,7,8],[4,5]]=>5
[2,3,4,6,1,5,7,8]=>[[1,2,3,4,7,8],[5,6]]=>4
[2,3,4,6,1,7,5,8]=>[[1,2,3,4,6,8],[5,7]]=>6
[2,3,4,6,7,1,5,8]=>[[1,2,3,4,5,8],[6,7]]=>3
[2,3,4,6,1,7,8,5]=>[[1,2,3,4,6,7],[5,8]]=>5
[2,3,4,6,7,8,1,5]=>[[1,2,3,4,5,6],[7,8]]=>2
[2,1,7,3,8,4,5,6]=>[[1,3,5,7,8],[2,4,6]]=>15
[2,7,1,3,8,4,5,6]=>[[1,2,5,7,8],[3,4,6]]=>9
[2,1,7,8,3,4,5,6]=>[[1,3,4,7,8],[2,5,6]]=>11
[2,7,1,8,3,4,5,6]=>[[1,2,4,7,8],[3,5,6]]=>10
[2,7,8,1,3,4,5,6]=>[[1,2,3,7,8],[4,5,6]]=>5
[2,1,7,3,4,8,5,6]=>[[1,3,5,6,8],[2,4,7]]=>14
[2,1,3,7,4,8,5,6]=>[[1,3,4,6,8],[2,5,7]]=>13
[2,3,1,7,4,8,5,6]=>[[1,2,4,6,8],[3,5,7]]=>12
[2,3,7,1,4,8,5,6]=>[[1,2,3,6,8],[4,5,7]]=>7
[2,1,3,7,8,4,5,6]=>[[1,3,4,5,8],[2,6,7]]=>10
[2,3,1,7,8,4,5,6]=>[[1,2,4,5,8],[3,6,7]]=>9
[2,3,7,8,1,4,5,6]=>[[1,2,3,4,8],[5,6,7]]=>4
[2,1,7,3,4,5,8,6]=>[[1,3,5,6,7],[2,4,8]]=>13
[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]]=>11
[2,3,7,1,4,5,8,6]=>[[1,2,3,6,7],[4,5,8]]=>6
[2,1,3,4,7,5,8,6]=>[[1,3,4,5,7],[2,6,8]]=>11
[2,3,4,1,7,5,8,6]=>[[1,2,3,5,7],[4,6,8]]=>9
[2,3,4,7,1,5,8,6]=>[[1,2,3,4,7],[5,6,8]]=>5
[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]]=>8
[2,3,4,1,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>7
[2,3,4,7,1,8,5,6]=>[[1,2,3,4,6],[5,7,8]]=>6
[2,3,4,7,8,1,5,6]=>[[1,2,3,4,5],[6,7,8]]=>3
[2,1,7,3,4,5,6,8]=>[[1,3,5,6,7,8],[2,4]]=>12
[2,7,1,3,4,5,6,8]=>[[1,2,5,6,7,8],[3,4]]=>6
[2,3,7,1,4,5,6,8]=>[[1,2,3,6,7,8],[4,5]]=>5
[2,1,3,4,7,5,6,8]=>[[1,3,4,5,7,8],[2,6]]=>10
[2,3,1,4,7,5,6,8]=>[[1,2,4,5,7,8],[3,6]]=>9
[2,3,4,1,7,5,6,8]=>[[1,2,3,5,7,8],[4,6]]=>8
[2,3,4,7,1,5,6,8]=>[[1,2,3,4,7,8],[5,6]]=>4
[2,3,4,5,7,1,6,8]=>[[1,2,3,4,5,8],[6,7]]=>3
[2,3,4,5,7,1,8,6]=>[[1,2,3,4,5,7],[6,8]]=>4
[2,3,4,5,7,8,1,6]=>[[1,2,3,4,5,6],[7,8]]=>2
[2,1,8,3,4,5,6,7]=>[[1,3,5,6,7,8],[2,4]]=>12
[2,8,1,3,4,5,6,7]=>[[1,2,5,6,7,8],[3,4]]=>6
[2,1,3,8,4,5,6,7]=>[[1,3,4,6,7,8],[2,5]]=>11
[2,3,1,8,4,5,6,7]=>[[1,2,4,6,7,8],[3,5]]=>10
[2,3,8,1,4,5,6,7]=>[[1,2,3,6,7,8],[4,5]]=>5
[2,1,3,4,8,5,6,7]=>[[1,3,4,5,7,8],[2,6]]=>10
[2,3,1,4,8,5,6,7]=>[[1,2,4,5,7,8],[3,6]]=>9
[2,3,4,1,8,5,6,7]=>[[1,2,3,5,7,8],[4,6]]=>8
[2,3,4,8,1,5,6,7]=>[[1,2,3,4,7,8],[5,6]]=>4
[2,1,3,4,5,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>9
[2,3,1,4,5,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>8
[2,3,4,1,5,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>7
[2,3,4,5,1,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>6
[2,3,4,5,8,1,6,7]=>[[1,2,3,4,5,8],[6,7]]=>3
[2,3,4,5,6,8,1,7]=>[[1,2,3,4,5,6],[7,8]]=>2
[3,1,4,2,6,5,8,7]=>[[1,3,5,7],[2,4,6,8]]=>16
[3,4,1,2,6,5,8,7]=>[[1,2,5,7],[3,4,6,8]]=>10
[3,1,4,6,2,5,8,7]=>[[1,3,4,7],[2,5,6,8]]=>12
[3,4,1,6,2,5,8,7]=>[[1,2,4,7],[3,5,6,8]]=>11
[3,4,6,1,2,5,8,7]=>[[1,2,3,7],[4,5,6,8]]=>6
[3,1,4,2,6,8,5,7]=>[[1,3,5,6],[2,4,7,8]]=>14
[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]]=>13
[3,4,1,6,2,8,5,7]=>[[1,2,4,6],[3,5,7,8]]=>12
[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]]=>9
[3,4,6,8,1,2,5,7]=>[[1,2,3,4],[5,6,7,8]]=>4
[3,1,4,2,6,5,7,8]=>[[1,3,5,7,8],[2,4,6]]=>15
[3,4,1,2,6,5,7,8]=>[[1,2,5,7,8],[3,4,6]]=>9
[3,1,4,2,6,7,5,8]=>[[1,3,5,6,8],[2,4,7]]=>14
[3,4,1,2,6,7,5,8]=>[[1,2,5,6,8],[3,4,7]]=>8
[3,4,1,6,2,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>12
[3,4,6,1,2,7,5,8]=>[[1,2,3,6,8],[4,5,7]]=>7
[3,4,1,6,7,2,5,8]=>[[1,2,4,5,8],[3,6,7]]=>9
[3,4,6,7,1,2,5,8]=>[[1,2,3,4,8],[5,6,7]]=>4
[3,1,4,2,6,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>13
[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]]=>12
[3,4,1,6,2,7,8,5]=>[[1,2,4,6,7],[3,5,8]]=>11
[3,4,6,1,2,7,8,5]=>[[1,2,3,6,7],[4,5,8]]=>6
[3,1,4,6,7,2,8,5]=>[[1,3,4,5,7],[2,6,8]]=>11
[3,4,1,6,7,2,8,5]=>[[1,2,4,5,7],[3,6,8]]=>10
[3,4,6,1,7,2,8,5]=>[[1,2,3,5,7],[4,6,8]]=>9
[3,4,6,7,1,2,8,5]=>[[1,2,3,4,7],[5,6,8]]=>5
[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]]=>8
[3,4,6,1,7,8,2,5]=>[[1,2,3,5,6],[4,7,8]]=>7
[3,4,6,7,1,8,2,5]=>[[1,2,3,4,6],[5,7,8]]=>6
[3,4,6,7,8,1,2,5]=>[[1,2,3,4,5],[6,7,8]]=>3
[3,1,4,2,7,5,8,6]=>[[1,3,5,7],[2,4,6,8]]=>16
[3,4,1,2,7,5,8,6]=>[[1,2,5,7],[3,4,6,8]]=>10
[3,1,4,7,2,5,8,6]=>[[1,3,4,7],[2,5,6,8]]=>12
[3,4,7,1,2,5,8,6]=>[[1,2,3,7],[4,5,6,8]]=>6
[3,1,4,2,7,8,5,6]=>[[1,3,5,6],[2,4,7,8]]=>14
[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]]=>8
[3,4,7,8,1,2,5,6]=>[[1,2,3,4],[5,6,7,8]]=>4
[3,1,4,2,7,5,6,8]=>[[1,3,5,7,8],[2,4,6]]=>15
[3,4,1,2,7,5,6,8]=>[[1,2,5,7,8],[3,4,6]]=>9
[3,4,1,2,5,7,6,8]=>[[1,2,5,6,8],[3,4,7]]=>8
[3,1,4,5,2,7,6,8]=>[[1,3,4,6,8],[2,5,7]]=>13
[3,4,1,5,2,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>12
[3,4,1,5,7,2,6,8]=>[[1,2,4,5,8],[3,6,7]]=>9
[3,4,5,7,1,2,6,8]=>[[1,2,3,4,8],[5,6,7]]=>4
[3,1,4,2,5,7,8,6]=>[[1,3,5,6,7],[2,4,8]]=>13
[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]]=>12
[3,4,5,1,2,7,8,6]=>[[1,2,3,6,7],[4,5,8]]=>6
[3,1,4,5,7,2,8,6]=>[[1,3,4,5,7],[2,6,8]]=>11
[3,4,1,5,7,2,8,6]=>[[1,2,4,5,7],[3,6,8]]=>10
[3,4,5,7,1,2,8,6]=>[[1,2,3,4,7],[5,6,8]]=>5
[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]]=>8
[3,4,5,1,7,8,2,6]=>[[1,2,3,5,6],[4,7,8]]=>7
[3,4,5,7,1,8,2,6]=>[[1,2,3,4,6],[5,7,8]]=>6
[3,4,5,7,8,1,2,6]=>[[1,2,3,4,5],[6,7,8]]=>3
[3,1,4,2,8,5,6,7]=>[[1,3,5,7,8],[2,4,6]]=>15
[3,4,1,2,8,5,6,7]=>[[1,2,5,7,8],[3,4,6]]=>9
[3,1,4,8,2,5,6,7]=>[[1,3,4,7,8],[2,5,6]]=>11
[3,4,1,8,2,5,6,7]=>[[1,2,4,7,8],[3,5,6]]=>10
[3,4,8,1,2,5,6,7]=>[[1,2,3,7,8],[4,5,6]]=>5
[3,1,4,2,5,8,6,7]=>[[1,3,5,6,8],[2,4,7]]=>14
[3,4,1,2,5,8,6,7]=>[[1,2,5,6,8],[3,4,7]]=>8
[3,4,1,5,2,8,6,7]=>[[1,2,4,6,8],[3,5,7]]=>12
[3,4,5,1,2,8,6,7]=>[[1,2,3,6,8],[4,5,7]]=>7
[3,1,4,5,8,2,6,7]=>[[1,3,4,5,8],[2,6,7]]=>10
[3,4,1,5,8,2,6,7]=>[[1,2,4,5,8],[3,6,7]]=>9
[3,4,5,8,1,2,6,7]=>[[1,2,3,4,8],[5,6,7]]=>4
[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]]=>6
[3,1,4,5,6,2,8,7]=>[[1,3,4,5,7],[2,6,8]]=>11
[3,4,1,5,6,2,8,7]=>[[1,2,4,5,7],[3,6,8]]=>10
[3,4,5,1,6,2,8,7]=>[[1,2,3,5,7],[4,6,8]]=>9
[3,4,5,6,1,2,8,7]=>[[1,2,3,4,7],[5,6,8]]=>5
[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]]=>8
[3,4,5,6,1,8,2,7]=>[[1,2,3,4,6],[5,7,8]]=>6
[3,4,5,6,8,1,2,7]=>[[1,2,3,4,5],[6,7,8]]=>3
[3,1,4,2,5,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>12
[3,1,4,5,2,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>11
[3,4,1,5,2,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>10
[3,4,1,5,6,2,7,8]=>[[1,2,4,5,7,8],[3,6]]=>9
[3,4,5,1,6,2,7,8]=>[[1,2,3,5,7,8],[4,6]]=>8
[3,1,4,5,6,7,2,8]=>[[1,3,4,5,6,8],[2,7]]=>9
[3,4,1,5,6,7,2,8]=>[[1,2,4,5,6,8],[3,7]]=>8
[3,4,5,1,6,7,2,8]=>[[1,2,3,5,6,8],[4,7]]=>7
[3,4,5,6,1,7,2,8]=>[[1,2,3,4,6,8],[5,7]]=>6
[3,1,4,5,6,7,8,2]=>[[1,3,4,5,6,7],[2,8]]=>8
[3,4,1,5,6,7,8,2]=>[[1,2,4,5,6,7],[3,8]]=>7
[3,4,5,1,6,7,8,2]=>[[1,2,3,5,6,7],[4,8]]=>6
[3,4,5,6,1,7,8,2]=>[[1,2,3,4,6,7],[5,8]]=>5
[3,4,5,6,7,1,8,2]=>[[1,2,3,4,5,7],[6,8]]=>4
[3,1,5,2,6,4,8,7]=>[[1,3,5,7],[2,4,6,8]]=>16
[3,5,1,2,6,4,8,7]=>[[1,2,5,7],[3,4,6,8]]=>10
[3,1,5,6,2,4,8,7]=>[[1,3,4,7],[2,5,6,8]]=>12
[3,5,1,6,2,4,8,7]=>[[1,2,4,7],[3,5,6,8]]=>11
[3,5,6,1,2,4,8,7]=>[[1,2,3,7],[4,5,6,8]]=>6
[3,1,5,2,6,8,4,7]=>[[1,3,5,6],[2,4,7,8]]=>14
[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]]=>13
[3,5,6,1,2,8,4,7]=>[[1,2,3,6],[4,5,7,8]]=>7
[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]]=>9
[3,5,6,1,8,2,4,7]=>[[1,2,3,5],[4,6,7,8]]=>8
[3,5,6,8,1,2,4,7]=>[[1,2,3,4],[5,6,7,8]]=>4
[3,1,5,6,2,4,7,8]=>[[1,3,4,7,8],[2,5,6]]=>11
[3,5,1,6,2,4,7,8]=>[[1,2,4,7,8],[3,5,6]]=>10
[3,5,6,1,2,4,7,8]=>[[1,2,3,7,8],[4,5,6]]=>5
[3,5,1,2,6,7,4,8]=>[[1,2,5,6,8],[3,4,7]]=>8
[3,5,1,6,2,7,4,8]=>[[1,2,4,6,8],[3,5,7]]=>12
[3,5,6,1,2,7,4,8]=>[[1,2,3,6,8],[4,5,7]]=>7
[3,5,1,6,7,2,4,8]=>[[1,2,4,5,8],[3,6,7]]=>9
[3,5,6,1,7,2,4,8]=>[[1,2,3,5,8],[4,6,7]]=>8
[3,5,6,7,1,2,4,8]=>[[1,2,3,4,8],[5,6,7]]=>4
[3,1,5,2,6,7,8,4]=>[[1,3,5,6,7],[2,4,8]]=>13
[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]]=>12
[3,5,1,6,2,7,8,4]=>[[1,2,4,6,7],[3,5,8]]=>11
[3,5,6,1,2,7,8,4]=>[[1,2,3,6,7],[4,5,8]]=>6
[3,1,5,6,7,2,8,4]=>[[1,3,4,5,7],[2,6,8]]=>11
[3,5,1,6,7,2,8,4]=>[[1,2,4,5,7],[3,6,8]]=>10
[3,5,6,1,7,2,8,4]=>[[1,2,3,5,7],[4,6,8]]=>9
[3,5,6,7,1,2,8,4]=>[[1,2,3,4,7],[5,6,8]]=>5
[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]]=>8
[3,5,6,1,7,8,2,4]=>[[1,2,3,5,6],[4,7,8]]=>7
[3,5,6,7,1,8,2,4]=>[[1,2,3,4,6],[5,7,8]]=>6
[3,5,6,7,8,1,2,4]=>[[1,2,3,4,5],[6,7,8]]=>3
[3,1,5,2,7,4,8,6]=>[[1,3,5,7],[2,4,6,8]]=>16
[3,5,1,2,7,4,8,6]=>[[1,2,5,7],[3,4,6,8]]=>10
[3,1,5,7,2,4,8,6]=>[[1,3,4,7],[2,5,6,8]]=>12
[3,5,1,7,2,4,8,6]=>[[1,2,4,7],[3,5,6,8]]=>11
[3,5,7,1,2,4,8,6]=>[[1,2,3,7],[4,5,6,8]]=>6
[3,1,5,2,7,8,4,6]=>[[1,3,5,6],[2,4,7,8]]=>14
[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]]=>13
[3,5,1,7,2,8,4,6]=>[[1,2,4,6],[3,5,7,8]]=>12
[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]]=>9
[3,5,7,8,1,2,4,6]=>[[1,2,3,4],[5,6,7,8]]=>4
[3,1,5,2,7,4,6,8]=>[[1,3,5,7,8],[2,4,6]]=>15
[3,5,1,2,7,4,6,8]=>[[1,2,5,7,8],[3,4,6]]=>9
[3,1,5,7,2,4,6,8]=>[[1,3,4,7,8],[2,5,6]]=>11
[3,5,1,7,2,4,6,8]=>[[1,2,4,7,8],[3,5,6]]=>10
[3,5,7,1,2,4,6,8]=>[[1,2,3,7,8],[4,5,6]]=>5
[3,1,5,2,4,7,6,8]=>[[1,3,5,6,8],[2,4,7]]=>14
[3,5,1,2,4,7,6,8]=>[[1,2,5,6,8],[3,4,7]]=>8
[3,1,2,5,4,7,6,8]=>[[1,3,4,6,8],[2,5,7]]=>13
[1,3,5,2,4,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>7
[3,1,2,5,7,4,6,8]=>[[1,3,4,5,8],[2,6,7]]=>10
[1,3,2,5,7,4,6,8]=>[[1,2,4,5,8],[3,6,7]]=>9
[1,3,5,2,7,4,6,8]=>[[1,2,3,5,8],[4,6,7]]=>8
[1,3,5,7,2,4,6,8]=>[[1,2,3,4,8],[5,6,7]]=>4
[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]]=>11
[1,3,5,2,7,4,8,6]=>[[1,2,3,5,7],[4,6,8]]=>9
[1,3,5,7,2,4,8,6]=>[[1,2,3,4,7],[5,6,8]]=>5
[1,3,2,5,7,8,4,6]=>[[1,2,4,5,6],[3,7,8]]=>8
[1,3,5,2,7,8,4,6]=>[[1,2,3,5,6],[4,7,8]]=>7
[1,3,5,7,2,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6
[1,3,5,7,8,2,4,6]=>[[1,2,3,4,5],[6,7,8]]=>3
[3,1,5,2,8,4,6,7]=>[[1,3,5,7,8],[2,4,6]]=>15
[3,5,1,2,8,4,6,7]=>[[1,2,5,7,8],[3,4,6]]=>9
[3,1,5,8,2,4,6,7]=>[[1,3,4,7,8],[2,5,6]]=>11
[3,5,1,8,2,4,6,7]=>[[1,2,4,7,8],[3,5,6]]=>10
[3,1,5,2,4,8,6,7]=>[[1,3,5,6,8],[2,4,7]]=>14
[3,5,1,2,4,8,6,7]=>[[1,2,5,6,8],[3,4,7]]=>8
[1,3,2,5,4,8,6,7]=>[[1,2,4,6,8],[3,5,7]]=>12
[1,3,5,2,4,8,6,7]=>[[1,2,3,6,8],[4,5,7]]=>7
[3,1,2,5,8,4,6,7]=>[[1,3,4,5,8],[2,6,7]]=>10
[1,3,2,5,8,4,6,7]=>[[1,2,4,5,8],[3,6,7]]=>9
[1,3,5,2,8,4,6,7]=>[[1,2,3,5,8],[4,6,7]]=>8
[1,3,5,8,2,4,6,7]=>[[1,2,3,4,8],[5,6,7]]=>4
[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]]=>12
[1,3,5,2,4,6,8,7]=>[[1,2,3,6,7],[4,5,8]]=>6
[1,3,5,6,2,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>5
[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]]=>7
[1,3,5,6,2,8,4,7]=>[[1,2,3,4,6],[5,7,8]]=>6
[1,3,5,6,8,2,4,7]=>[[1,2,3,4,5],[6,7,8]]=>3
[3,5,1,2,4,6,7,8]=>[[1,2,5,6,7,8],[3,4]]=>6
[1,3,5,2,4,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>5
[1,3,5,6,2,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>4
[3,1,2,5,6,7,4,8]=>[[1,3,4,5,6,8],[2,7]]=>9
[1,3,5,2,6,7,4,8]=>[[1,2,3,5,6,8],[4,7]]=>7
[1,3,5,6,2,7,4,8]=>[[1,2,3,4,6,8],[5,7]]=>6
[1,3,5,6,7,2,4,8]=>[[1,2,3,4,5,8],[6,7]]=>3
[3,1,2,5,6,7,8,4]=>[[1,3,4,5,6,7],[2,8]]=>8
[1,3,5,6,2,7,8,4]=>[[1,2,3,4,6,7],[5,8]]=>5
[1,3,5,6,7,2,8,4]=>[[1,2,3,4,5,7],[6,8]]=>4
[1,3,5,6,7,8,2,4]=>[[1,2,3,4,5,6],[7,8]]=>2
[3,1,6,2,7,4,8,5]=>[[1,3,5,7],[2,4,6,8]]=>16
[3,6,1,2,7,4,8,5]=>[[1,2,5,7],[3,4,6,8]]=>10
[3,6,1,7,2,4,8,5]=>[[1,2,4,7],[3,5,6,8]]=>11
[3,6,7,1,2,4,8,5]=>[[1,2,3,7],[4,5,6,8]]=>6
[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]]=>13
[3,6,1,7,2,8,4,5]=>[[1,2,4,6],[3,5,7,8]]=>12
[3,6,7,1,2,8,4,5]=>[[1,2,3,6],[4,5,7,8]]=>7
[3,6,1,7,8,2,4,5]=>[[1,2,4,5],[3,6,7,8]]=>9
[3,6,7,8,1,2,4,5]=>[[1,2,3,4],[5,6,7,8]]=>4
[3,1,6,2,7,4,5,8]=>[[1,3,5,7,8],[2,4,6]]=>15
[3,1,6,7,2,4,5,8]=>[[1,3,4,7,8],[2,5,6]]=>11
[3,6,7,1,2,4,5,8]=>[[1,2,3,7,8],[4,5,6]]=>5
[3,1,6,2,4,7,5,8]=>[[1,3,5,6,8],[2,4,7]]=>14
[3,6,1,2,4,7,5,8]=>[[1,2,5,6,8],[3,4,7]]=>8
[3,1,2,6,4,7,5,8]=>[[1,3,4,6,8],[2,5,7]]=>13
[1,3,2,6,4,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>12
[1,3,6,2,4,7,5,8]=>[[1,2,3,6,8],[4,5,7]]=>7
[1,3,2,6,7,4,5,8]=>[[1,2,4,5,8],[3,6,7]]=>9
[1,3,6,2,7,4,5,8]=>[[1,2,3,5,8],[4,6,7]]=>8
[3,1,6,2,4,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>13
[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]]=>12
[1,3,6,2,4,7,8,5]=>[[1,2,3,6,7],[4,5,8]]=>6
[3,1,2,6,7,4,8,5]=>[[1,3,4,5,7],[2,6,8]]=>11
[1,3,2,6,7,4,8,5]=>[[1,2,4,5,7],[3,6,8]]=>10
[1,3,6,2,7,4,8,5]=>[[1,2,3,5,7],[4,6,8]]=>9
[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]]=>8
[1,3,6,2,7,8,4,5]=>[[1,2,3,5,6],[4,7,8]]=>7
[1,3,6,7,8,2,4,5]=>[[1,2,3,4,5],[6,7,8]]=>3
[3,1,6,2,8,4,5,7]=>[[1,3,5,7,8],[2,4,6]]=>15
[3,6,1,2,8,4,5,7]=>[[1,2,5,7,8],[3,4,6]]=>9
[3,1,6,8,2,4,5,7]=>[[1,3,4,7,8],[2,5,6]]=>11
[3,6,1,8,2,4,5,7]=>[[1,2,4,7,8],[3,5,6]]=>10
[3,6,8,1,2,4,5,7]=>[[1,2,3,7,8],[4,5,6]]=>5
[3,1,6,2,4,8,5,7]=>[[1,3,5,6,8],[2,4,7]]=>14
[3,6,1,2,4,8,5,7]=>[[1,2,5,6,8],[3,4,7]]=>8
[1,3,2,6,4,8,5,7]=>[[1,2,4,6,8],[3,5,7]]=>12
[1,3,6,2,4,8,5,7]=>[[1,2,3,6,8],[4,5,7]]=>7
[3,1,2,6,8,4,5,7]=>[[1,3,4,5,8],[2,6,7]]=>10
[1,3,2,6,8,4,5,7]=>[[1,2,4,5,8],[3,6,7]]=>9
[3,1,6,2,4,5,8,7]=>[[1,3,5,6,7],[2,4,8]]=>13
[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]]=>12
[1,3,6,2,4,5,8,7]=>[[1,2,3,6,7],[4,5,8]]=>6
[3,1,2,4,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>11
[1,3,4,6,2,5,8,7]=>[[1,2,3,4,7],[5,6,8]]=>5
[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]]=>8
[1,3,4,6,8,2,5,7]=>[[1,2,3,4,5],[6,7,8]]=>3
[3,1,6,2,4,5,7,8]=>[[1,3,5,6,7,8],[2,4]]=>12
[3,6,1,2,4,5,7,8]=>[[1,2,5,6,7,8],[3,4]]=>6
[1,3,2,6,4,5,7,8]=>[[1,2,4,6,7,8],[3,5]]=>10
[1,3,6,2,4,5,7,8]=>[[1,2,3,6,7,8],[4,5]]=>5
[1,3,4,6,2,5,7,8]=>[[1,2,3,4,7,8],[5,6]]=>4
[3,1,2,4,6,7,5,8]=>[[1,3,4,5,6,8],[2,7]]=>9
[1,3,4,6,2,7,5,8]=>[[1,2,3,4,6,8],[5,7]]=>6
[1,3,4,6,7,2,5,8]=>[[1,2,3,4,5,8],[6,7]]=>3
[3,1,2,4,6,7,8,5]=>[[1,3,4,5,6,7],[2,8]]=>8
[1,3,4,6,7,2,8,5]=>[[1,2,3,4,5,7],[6,8]]=>4
[3,1,7,2,8,4,5,6]=>[[1,3,5,7,8],[2,4,6]]=>15
[3,7,1,2,8,4,5,6]=>[[1,2,5,7,8],[3,4,6]]=>9
[3,1,7,8,2,4,5,6]=>[[1,3,4,7,8],[2,5,6]]=>11
[3,7,1,8,2,4,5,6]=>[[1,2,4,7,8],[3,5,6]]=>10
[3,7,8,1,2,4,5,6]=>[[1,2,3,7,8],[4,5,6]]=>5
[3,7,1,2,4,8,5,6]=>[[1,2,5,6,8],[3,4,7]]=>8
[3,1,2,7,4,8,5,6]=>[[1,3,4,6,8],[2,5,7]]=>13
[1,3,2,7,4,8,5,6]=>[[1,2,4,6,8],[3,5,7]]=>12
[1,3,7,2,4,8,5,6]=>[[1,2,3,6,8],[4,5,7]]=>7
[3,1,2,7,8,4,5,6]=>[[1,3,4,5,8],[2,6,7]]=>10
[1,3,7,2,8,4,5,6]=>[[1,2,3,5,8],[4,6,7]]=>8
[1,3,7,8,2,4,5,6]=>[[1,2,3,4,8],[5,6,7]]=>4
[3,1,7,2,4,5,8,6]=>[[1,3,5,6,7],[2,4,8]]=>13
[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]]=>6
[3,1,2,4,7,5,8,6]=>[[1,3,4,5,7],[2,6,8]]=>11
[1,3,2,4,7,5,8,6]=>[[1,2,4,5,7],[3,6,8]]=>10
[1,3,4,2,7,5,8,6]=>[[1,2,3,5,7],[4,6,8]]=>9
[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]]=>8
[1,3,4,2,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>7
[1,3,4,7,8,2,5,6]=>[[1,2,3,4,5],[6,7,8]]=>3
[3,1,7,2,4,5,6,8]=>[[1,3,5,6,7,8],[2,4]]=>12
[3,7,1,2,4,5,6,8]=>[[1,2,5,6,7,8],[3,4]]=>6
[3,1,2,7,4,5,6,8]=>[[1,3,4,6,7,8],[2,5]]=>11
[1,3,2,7,4,5,6,8]=>[[1,2,4,6,7,8],[3,5]]=>10
[1,3,7,2,4,5,6,8]=>[[1,2,3,6,7,8],[4,5]]=>5
[3,1,2,4,7,5,6,8]=>[[1,3,4,5,7,8],[2,6]]=>10
[1,3,4,7,2,5,6,8]=>[[1,2,3,4,7,8],[5,6]]=>4
[3,1,2,4,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>9
[1,3,4,5,7,2,6,8]=>[[1,2,3,4,5,8],[6,7]]=>3
[3,1,2,4,5,7,8,6]=>[[1,3,4,5,6,7],[2,8]]=>8
[1,3,4,5,7,8,2,6]=>[[1,2,3,4,5,6],[7,8]]=>2
[3,1,8,2,4,5,6,7]=>[[1,3,5,6,7,8],[2,4]]=>12
[3,8,1,2,4,5,6,7]=>[[1,2,5,6,7,8],[3,4]]=>6
[3,1,2,8,4,5,6,7]=>[[1,3,4,6,7,8],[2,5]]=>11
[1,3,2,8,4,5,6,7]=>[[1,2,4,6,7,8],[3,5]]=>10
[1,3,8,2,4,5,6,7]=>[[1,2,3,6,7,8],[4,5]]=>5
[3,1,2,4,8,5,6,7]=>[[1,3,4,5,7,8],[2,6]]=>10
[1,3,2,4,8,5,6,7]=>[[1,2,4,5,7,8],[3,6]]=>9
[1,3,4,2,8,5,6,7]=>[[1,2,3,5,7,8],[4,6]]=>8
[1,3,4,8,2,5,6,7]=>[[1,2,3,4,7,8],[5,6]]=>4
[3,1,2,4,5,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>9
[1,3,2,4,5,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>8
[1,3,4,2,5,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>7
[1,3,4,5,2,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>6
[1,3,4,5,8,2,6,7]=>[[1,2,3,4,5,8],[6,7]]=>3
[3,1,2,4,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>8
[1,3,4,5,6,8,2,7]=>[[1,2,3,4,5,6],[7,8]]=>2
[4,1,5,2,6,3,8,7]=>[[1,3,5,7],[2,4,6,8]]=>16
[4,5,1,2,6,3,8,7]=>[[1,2,5,7],[3,4,6,8]]=>10
[4,1,5,6,2,3,8,7]=>[[1,3,4,7],[2,5,6,8]]=>12
[4,5,1,6,2,3,8,7]=>[[1,2,4,7],[3,5,6,8]]=>11
[4,5,6,1,2,3,8,7]=>[[1,2,3,7],[4,5,6,8]]=>6
[4,1,5,2,6,8,3,7]=>[[1,3,5,6],[2,4,7,8]]=>14
[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]]=>13
[4,5,1,6,2,8,3,7]=>[[1,2,4,6],[3,5,7,8]]=>12
[4,5,6,1,2,8,3,7]=>[[1,2,3,6],[4,5,7,8]]=>7
[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]]=>9
[4,5,6,1,8,2,3,7]=>[[1,2,3,5],[4,6,7,8]]=>8
[4,5,6,8,1,2,3,7]=>[[1,2,3,4],[5,6,7,8]]=>4
[4,1,5,2,6,3,7,8]=>[[1,3,5,7,8],[2,4,6]]=>15
[4,1,5,6,2,3,7,8]=>[[1,3,4,7,8],[2,5,6]]=>11
[4,5,1,6,2,3,7,8]=>[[1,2,4,7,8],[3,5,6]]=>10
[4,5,1,2,6,7,3,8]=>[[1,2,5,6,8],[3,4,7]]=>8
[4,5,1,6,2,7,3,8]=>[[1,2,4,6,8],[3,5,7]]=>12
[4,5,6,1,2,7,3,8]=>[[1,2,3,6,8],[4,5,7]]=>7
[4,1,5,6,7,2,3,8]=>[[1,3,4,5,8],[2,6,7]]=>10
[4,5,1,6,7,2,3,8]=>[[1,2,4,5,8],[3,6,7]]=>9
[4,5,6,1,7,2,3,8]=>[[1,2,3,5,8],[4,6,7]]=>8
[4,1,5,2,6,7,8,3]=>[[1,3,5,6,7],[2,4,8]]=>13
[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]]=>11
[4,5,6,1,2,7,8,3]=>[[1,2,3,6,7],[4,5,8]]=>6
[4,1,5,6,7,2,8,3]=>[[1,3,4,5,7],[2,6,8]]=>11
[4,5,1,6,7,2,8,3]=>[[1,2,4,5,7],[3,6,8]]=>10
[4,5,6,1,7,2,8,3]=>[[1,2,3,5,7],[4,6,8]]=>9
[4,5,6,7,1,2,8,3]=>[[1,2,3,4,7],[5,6,8]]=>5
[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]]=>8
[4,5,6,1,7,8,2,3]=>[[1,2,3,5,6],[4,7,8]]=>7
[4,5,6,7,1,8,2,3]=>[[1,2,3,4,6],[5,7,8]]=>6
[4,1,5,2,7,3,8,6]=>[[1,3,5,7],[2,4,6,8]]=>16
[4,5,1,7,2,3,8,6]=>[[1,2,4,7],[3,5,6,8]]=>11
[4,1,5,2,7,8,3,6]=>[[1,3,5,6],[2,4,7,8]]=>14
[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]]=>13
[4,5,1,7,2,8,3,6]=>[[1,2,4,6],[3,5,7,8]]=>12
[4,5,7,1,2,8,3,6]=>[[1,2,3,6],[4,5,7,8]]=>7
[4,5,1,7,8,2,3,6]=>[[1,2,4,5],[3,6,7,8]]=>9
[4,5,7,8,1,2,3,6]=>[[1,2,3,4],[5,6,7,8]]=>4
[4,1,5,2,7,3,6,8]=>[[1,3,5,7,8],[2,4,6]]=>15
[4,5,1,2,7,3,6,8]=>[[1,2,5,7,8],[3,4,6]]=>9
[4,1,5,2,3,7,6,8]=>[[1,3,5,6,8],[2,4,7]]=>14
[4,5,1,2,3,7,6,8]=>[[1,2,5,6,8],[3,4,7]]=>8
[4,1,2,5,3,7,6,8]=>[[1,3,4,6,8],[2,5,7]]=>13
[1,4,2,5,3,7,6,8]=>[[1,2,4,6,8],[3,5,7]]=>12
[1,4,5,2,3,7,6,8]=>[[1,2,3,6,8],[4,5,7]]=>7
[4,1,2,5,7,3,6,8]=>[[1,3,4,5,8],[2,6,7]]=>10
[1,4,2,5,7,3,6,8]=>[[1,2,4,5,8],[3,6,7]]=>9
[1,4,5,2,7,3,6,8]=>[[1,2,3,5,8],[4,6,7]]=>8
[1,4,5,7,2,3,6,8]=>[[1,2,3,4,8],[5,6,7]]=>4
[4,1,5,2,3,7,8,6]=>[[1,3,5,6,7],[2,4,8]]=>13
[4,1,2,5,3,7,8,6]=>[[1,3,4,6,7],[2,5,8]]=>12
[1,4,5,2,3,7,8,6]=>[[1,2,3,6,7],[4,5,8]]=>6
[4,1,2,5,7,3,8,6]=>[[1,3,4,5,7],[2,6,8]]=>11
[1,4,2,5,7,3,8,6]=>[[1,2,4,5,7],[3,6,8]]=>10
[1,4,5,2,7,3,8,6]=>[[1,2,3,5,7],[4,6,8]]=>9
[1,4,5,7,2,3,8,6]=>[[1,2,3,4,7],[5,6,8]]=>5
[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]]=>8
[1,4,5,2,7,8,3,6]=>[[1,2,3,5,6],[4,7,8]]=>7
[1,4,5,7,8,2,3,6]=>[[1,2,3,4,5],[6,7,8]]=>3
[4,1,5,2,8,3,6,7]=>[[1,3,5,7,8],[2,4,6]]=>15
[4,5,1,2,8,3,6,7]=>[[1,2,5,7,8],[3,4,6]]=>9
[4,5,1,8,2,3,6,7]=>[[1,2,4,7,8],[3,5,6]]=>10
[4,5,8,1,2,3,6,7]=>[[1,2,3,7,8],[4,5,6]]=>5
[4,1,5,2,3,8,6,7]=>[[1,3,5,6,8],[2,4,7]]=>14
[4,5,1,2,3,8,6,7]=>[[1,2,5,6,8],[3,4,7]]=>8
[4,1,2,5,3,8,6,7]=>[[1,3,4,6,8],[2,5,7]]=>13
[1,4,2,5,3,8,6,7]=>[[1,2,4,6,8],[3,5,7]]=>12
[1,4,5,2,3,8,6,7]=>[[1,2,3,6,8],[4,5,7]]=>7
[4,1,2,5,8,3,6,7]=>[[1,3,4,5,8],[2,6,7]]=>10
[1,4,2,5,8,3,6,7]=>[[1,2,4,5,8],[3,6,7]]=>9
[1,4,5,2,8,3,6,7]=>[[1,2,3,5,8],[4,6,7]]=>8
[1,4,2,5,3,6,8,7]=>[[1,2,4,6,7],[3,5,8]]=>11
[4,1,2,5,6,3,8,7]=>[[1,3,4,5,7],[2,6,8]]=>11
[1,4,5,2,6,3,8,7]=>[[1,2,3,5,7],[4,6,8]]=>9
[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]]=>8
[1,4,5,2,6,8,3,7]=>[[1,2,3,5,6],[4,7,8]]=>7
[1,4,5,6,8,2,3,7]=>[[1,2,3,4,5],[6,7,8]]=>3
[4,1,5,2,3,6,7,8]=>[[1,3,5,6,7,8],[2,4]]=>12
[4,1,2,5,3,6,7,8]=>[[1,3,4,6,7,8],[2,5]]=>11
[1,4,2,5,3,6,7,8]=>[[1,2,4,6,7,8],[3,5]]=>10
[1,4,5,2,3,6,7,8]=>[[1,2,3,6,7,8],[4,5]]=>5
[4,1,2,5,6,3,7,8]=>[[1,3,4,5,7,8],[2,6]]=>10
[1,4,5,2,6,3,7,8]=>[[1,2,3,5,7,8],[4,6]]=>8
[1,4,5,6,2,3,7,8]=>[[1,2,3,4,7,8],[5,6]]=>4
[4,1,2,5,6,7,3,8]=>[[1,3,4,5,6,8],[2,7]]=>9
[1,4,2,5,6,7,3,8]=>[[1,2,4,5,6,8],[3,7]]=>8
[1,4,5,2,6,7,3,8]=>[[1,2,3,5,6,8],[4,7]]=>7
[1,4,5,6,2,7,3,8]=>[[1,2,3,4,6,8],[5,7]]=>6
[1,4,5,6,7,2,3,8]=>[[1,2,3,4,5,8],[6,7]]=>3
[4,1,2,5,6,7,8,3]=>[[1,3,4,5,6,7],[2,8]]=>8
[1,4,2,5,6,7,8,3]=>[[1,2,4,5,6,7],[3,8]]=>7
[1,4,5,2,6,7,8,3]=>[[1,2,3,5,6,7],[4,8]]=>6
[1,4,5,6,2,7,8,3]=>[[1,2,3,4,6,7],[5,8]]=>5
[1,4,5,6,7,2,8,3]=>[[1,2,3,4,5,7],[6,8]]=>4
[1,4,5,6,7,8,2,3]=>[[1,2,3,4,5,6],[7,8]]=>2
[4,1,6,2,7,3,8,5]=>[[1,3,5,7],[2,4,6,8]]=>16
[4,1,6,7,2,3,8,5]=>[[1,3,4,7],[2,5,6,8]]=>12
[4,6,7,1,2,3,8,5]=>[[1,2,3,7],[4,5,6,8]]=>6
[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]]=>12
[4,6,7,1,2,8,3,5]=>[[1,2,3,6],[4,5,7,8]]=>7
[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]]=>9
[4,6,7,1,8,2,3,5]=>[[1,2,3,5],[4,6,7,8]]=>8
[4,6,7,8,1,2,3,5]=>[[1,2,3,4],[5,6,7,8]]=>4
[4,1,6,2,7,3,5,8]=>[[1,3,5,7,8],[2,4,6]]=>15
[4,6,1,2,7,3,5,8]=>[[1,2,5,7,8],[3,4,6]]=>9
[4,1,6,7,2,3,5,8]=>[[1,3,4,7,8],[2,5,6]]=>11
[4,6,1,7,2,3,5,8]=>[[1,2,4,7,8],[3,5,6]]=>10
[4,6,7,1,2,3,5,8]=>[[1,2,3,7,8],[4,5,6]]=>5
[4,1,6,2,3,7,5,8]=>[[1,3,5,6,8],[2,4,7]]=>14
[4,6,1,2,3,7,5,8]=>[[1,2,5,6,8],[3,4,7]]=>8
[4,1,2,6,3,7,5,8]=>[[1,3,4,6,8],[2,5,7]]=>13
[1,4,2,6,3,7,5,8]=>[[1,2,4,6,8],[3,5,7]]=>12
[4,1,2,6,7,3,5,8]=>[[1,3,4,5,8],[2,6,7]]=>10
[1,4,2,6,7,3,5,8]=>[[1,2,4,5,8],[3,6,7]]=>9
[1,4,6,2,7,3,5,8]=>[[1,2,3,5,8],[4,6,7]]=>8
[1,4,6,7,2,3,5,8]=>[[1,2,3,4,8],[5,6,7]]=>4
[4,1,6,2,3,7,8,5]=>[[1,3,5,6,7],[2,4,8]]=>13
[4,1,2,6,3,7,8,5]=>[[1,3,4,6,7],[2,5,8]]=>12
[1,4,6,2,3,7,8,5]=>[[1,2,3,6,7],[4,5,8]]=>6
[4,1,2,6,7,3,8,5]=>[[1,3,4,5,7],[2,6,8]]=>11
[1,4,6,2,7,3,8,5]=>[[1,2,3,5,7],[4,6,8]]=>9
[1,4,2,6,7,8,3,5]=>[[1,2,4,5,6],[3,7,8]]=>8
[1,4,6,2,7,8,3,5]=>[[1,2,3,5,6],[4,7,8]]=>7
[1,4,6,7,2,8,3,5]=>[[1,2,3,4,6],[5,7,8]]=>6
[1,4,6,7,8,2,3,5]=>[[1,2,3,4,5],[6,7,8]]=>3
[4,1,6,2,8,3,5,7]=>[[1,3,5,7,8],[2,4,6]]=>15
[4,6,1,2,8,3,5,7]=>[[1,2,5,7,8],[3,4,6]]=>9
[4,1,6,8,2,3,5,7]=>[[1,3,4,7,8],[2,5,6]]=>11
[4,6,1,8,2,3,5,7]=>[[1,2,4,7,8],[3,5,6]]=>10
[4,6,8,1,2,3,5,7]=>[[1,2,3,7,8],[4,5,6]]=>5
[4,1,6,2,3,8,5,7]=>[[1,3,5,6,8],[2,4,7]]=>14
[4,6,1,2,3,8,5,7]=>[[1,2,5,6,8],[3,4,7]]=>8
[4,1,2,6,3,8,5,7]=>[[1,3,4,6,8],[2,5,7]]=>13
[1,4,2,6,3,8,5,7]=>[[1,2,4,6,8],[3,5,7]]=>12
[1,4,6,2,3,8,5,7]=>[[1,2,3,6,8],[4,5,7]]=>7
[1,4,2,6,8,3,5,7]=>[[1,2,4,5,8],[3,6,7]]=>9
[1,4,6,2,8,3,5,7]=>[[1,2,3,5,8],[4,6,7]]=>8
[1,4,6,8,2,3,5,7]=>[[1,2,3,4,8],[5,6,7]]=>4
[4,1,6,2,3,5,8,7]=>[[1,3,5,6,7],[2,4,8]]=>13
[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]]=>12
[1,4,2,6,3,5,8,7]=>[[1,2,4,6,7],[3,5,8]]=>11
[1,4,6,2,3,5,8,7]=>[[1,2,3,6,7],[4,5,8]]=>6
[4,1,2,3,6,5,8,7]=>[[1,3,4,5,7],[2,6,8]]=>11
[1,4,2,3,6,5,8,7]=>[[1,2,4,5,7],[3,6,8]]=>10
[1,2,4,6,3,5,8,7]=>[[1,2,3,4,7],[5,6,8]]=>5
[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]]=>7
[1,2,4,6,8,3,5,7]=>[[1,2,3,4,5],[6,7,8]]=>3
[4,1,6,2,3,5,7,8]=>[[1,3,5,6,7,8],[2,4]]=>12
[4,6,1,2,3,5,7,8]=>[[1,2,5,6,7,8],[3,4]]=>6
[1,4,2,6,3,5,7,8]=>[[1,2,4,6,7,8],[3,5]]=>10
[1,4,6,2,3,5,7,8]=>[[1,2,3,6,7,8],[4,5]]=>5
[4,1,2,3,6,5,7,8]=>[[1,3,4,5,7,8],[2,6]]=>10
[1,4,2,3,6,5,7,8]=>[[1,2,4,5,7,8],[3,6]]=>9
[1,2,4,6,3,5,7,8]=>[[1,2,3,4,7,8],[5,6]]=>4
[4,1,2,3,6,7,5,8]=>[[1,3,4,5,6,8],[2,7]]=>9
[1,4,2,3,6,7,5,8]=>[[1,2,4,5,6,8],[3,7]]=>8
[4,1,2,3,6,7,8,5]=>[[1,3,4,5,6,7],[2,8]]=>8
[1,4,2,3,6,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>7
[1,2,4,6,7,8,3,5]=>[[1,2,3,4,5,6],[7,8]]=>2
[4,1,7,2,8,3,5,6]=>[[1,3,5,7,8],[2,4,6]]=>15
[4,7,1,2,8,3,5,6]=>[[1,2,5,7,8],[3,4,6]]=>9
[4,1,7,8,2,3,5,6]=>[[1,3,4,7,8],[2,5,6]]=>11
[4,7,1,8,2,3,5,6]=>[[1,2,4,7,8],[3,5,6]]=>10
[4,7,8,1,2,3,5,6]=>[[1,2,3,7,8],[4,5,6]]=>5
[4,1,7,2,3,8,5,6]=>[[1,3,5,6,8],[2,4,7]]=>14
[4,7,1,2,3,8,5,6]=>[[1,2,5,6,8],[3,4,7]]=>8
[1,4,2,7,3,8,5,6]=>[[1,2,4,6,8],[3,5,7]]=>12
[1,4,7,2,3,8,5,6]=>[[1,2,3,6,8],[4,5,7]]=>7
[4,1,2,7,8,3,5,6]=>[[1,3,4,5,8],[2,6,7]]=>10
[1,4,2,7,8,3,5,6]=>[[1,2,4,5,8],[3,6,7]]=>9
[1,4,7,2,8,3,5,6]=>[[1,2,3,5,8],[4,6,7]]=>8
[1,4,7,8,2,3,5,6]=>[[1,2,3,4,8],[5,6,7]]=>4
[4,1,7,2,3,5,8,6]=>[[1,3,5,6,7],[2,4,8]]=>13
[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]]=>12
[1,4,2,7,3,5,8,6]=>[[1,2,4,6,7],[3,5,8]]=>11
[1,4,7,2,3,5,8,6]=>[[1,2,3,6,7],[4,5,8]]=>6
[4,1,2,3,7,5,8,6]=>[[1,3,4,5,7],[2,6,8]]=>11
[1,4,2,3,7,5,8,6]=>[[1,2,4,5,7],[3,6,8]]=>10
[1,2,4,3,7,5,8,6]=>[[1,2,3,5,7],[4,6,8]]=>9
[1,2,4,7,3,5,8,6]=>[[1,2,3,4,7],[5,6,8]]=>5
[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]]=>8
[1,2,4,3,7,8,5,6]=>[[1,2,3,5,6],[4,7,8]]=>7
[1,2,4,7,3,8,5,6]=>[[1,2,3,4,6],[5,7,8]]=>6
[1,2,4,7,8,3,5,6]=>[[1,2,3,4,5],[6,7,8]]=>3
[4,1,7,2,3,5,6,8]=>[[1,3,5,6,7,8],[2,4]]=>12
[4,7,1,2,3,5,6,8]=>[[1,2,5,6,7,8],[3,4]]=>6
[4,1,2,7,3,5,6,8]=>[[1,3,4,6,7,8],[2,5]]=>11
[1,4,2,7,3,5,6,8]=>[[1,2,4,6,7,8],[3,5]]=>10
[1,4,7,2,3,5,6,8]=>[[1,2,3,6,7,8],[4,5]]=>5
[4,1,2,3,7,5,6,8]=>[[1,3,4,5,7,8],[2,6]]=>10
[1,4,2,3,7,5,6,8]=>[[1,2,4,5,7,8],[3,6]]=>9
[1,2,4,3,7,5,6,8]=>[[1,2,3,5,7,8],[4,6]]=>8
[1,2,4,7,3,5,6,8]=>[[1,2,3,4,7,8],[5,6]]=>4
[4,1,2,3,5,7,6,8]=>[[1,3,4,5,6,8],[2,7]]=>9
[1,4,2,3,5,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>8
[1,2,4,5,7,3,6,8]=>[[1,2,3,4,5,8],[6,7]]=>3
[4,1,2,3,5,7,8,6]=>[[1,3,4,5,6,7],[2,8]]=>8
[1,4,2,3,5,7,8,6]=>[[1,2,4,5,6,7],[3,8]]=>7
[1,2,4,5,7,3,8,6]=>[[1,2,3,4,5,7],[6,8]]=>4
[1,2,4,5,7,8,3,6]=>[[1,2,3,4,5,6],[7,8]]=>2
[4,1,8,2,3,5,6,7]=>[[1,3,5,6,7,8],[2,4]]=>12
[4,8,1,2,3,5,6,7]=>[[1,2,5,6,7,8],[3,4]]=>6
[4,1,2,8,3,5,6,7]=>[[1,3,4,6,7,8],[2,5]]=>11
[1,4,2,8,3,5,6,7]=>[[1,2,4,6,7,8],[3,5]]=>10
[1,4,8,2,3,5,6,7]=>[[1,2,3,6,7,8],[4,5]]=>5
[4,1,2,3,8,5,6,7]=>[[1,3,4,5,7,8],[2,6]]=>10
[1,4,2,3,8,5,6,7]=>[[1,2,4,5,7,8],[3,6]]=>9
[1,2,4,3,8,5,6,7]=>[[1,2,3,5,7,8],[4,6]]=>8
[1,2,4,8,3,5,6,7]=>[[1,2,3,4,7,8],[5,6]]=>4
[4,1,2,3,5,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>9
[1,4,2,3,5,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>8
[1,2,4,3,5,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>7
[1,2,4,5,3,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>6
[1,2,4,5,8,3,6,7]=>[[1,2,3,4,5,8],[6,7]]=>3
[4,1,2,3,5,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>8
[1,4,2,3,5,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>7
[1,2,4,5,6,8,3,7]=>[[1,2,3,4,5,6],[7,8]]=>2
[1,4,2,3,5,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>6
[5,1,6,2,7,3,8,4]=>[[1,3,5,7],[2,4,6,8]]=>16
[5,6,1,2,7,3,8,4]=>[[1,2,5,7],[3,4,6,8]]=>10
[5,1,6,7,2,3,8,4]=>[[1,3,4,7],[2,5,6,8]]=>12
[5,6,1,7,2,3,8,4]=>[[1,2,4,7],[3,5,6,8]]=>11
[5,6,7,1,2,3,8,4]=>[[1,2,3,7],[4,5,6,8]]=>6
[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]]=>13
[5,6,7,1,2,8,3,4]=>[[1,2,3,6],[4,5,7,8]]=>7
[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]]=>9
[5,6,7,1,8,2,3,4]=>[[1,2,3,5],[4,6,7,8]]=>8
[5,1,6,2,7,3,4,8]=>[[1,3,5,7,8],[2,4,6]]=>15
[5,6,1,7,2,3,4,8]=>[[1,2,4,7,8],[3,5,6]]=>10
[5,1,6,2,3,7,4,8]=>[[1,3,5,6,8],[2,4,7]]=>14
[5,1,2,6,3,7,4,8]=>[[1,3,4,6,8],[2,5,7]]=>13
[1,5,2,6,3,7,4,8]=>[[1,2,4,6,8],[3,5,7]]=>12
[5,1,2,6,7,3,4,8]=>[[1,3,4,5,8],[2,6,7]]=>10
[1,5,2,6,7,3,4,8]=>[[1,2,4,5,8],[3,6,7]]=>9
[1,5,6,7,2,3,4,8]=>[[1,2,3,4,8],[5,6,7]]=>4
[5,1,6,2,3,7,8,4]=>[[1,3,5,6,7],[2,4,8]]=>13
[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]]=>12
[1,5,2,6,3,7,8,4]=>[[1,2,4,6,7],[3,5,8]]=>11
[1,5,6,2,3,7,8,4]=>[[1,2,3,6,7],[4,5,8]]=>6
[5,1,2,6,7,3,8,4]=>[[1,3,4,5,7],[2,6,8]]=>11
[1,5,6,7,2,3,8,4]=>[[1,2,3,4,7],[5,6,8]]=>5
[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]]=>8
[1,5,6,2,7,8,3,4]=>[[1,2,3,5,6],[4,7,8]]=>7
[1,5,6,7,2,8,3,4]=>[[1,2,3,4,6],[5,7,8]]=>6
[1,5,6,7,8,2,3,4]=>[[1,2,3,4,5],[6,7,8]]=>3
[5,1,6,2,8,3,4,7]=>[[1,3,5,7,8],[2,4,6]]=>15
[5,6,1,2,8,3,4,7]=>[[1,2,5,7,8],[3,4,6]]=>9
[5,6,1,8,2,3,4,7]=>[[1,2,4,7,8],[3,5,6]]=>10
[5,6,8,1,2,3,4,7]=>[[1,2,3,7,8],[4,5,6]]=>5
[5,1,6,2,3,8,4,7]=>[[1,3,5,6,8],[2,4,7]]=>14
[5,6,1,2,3,8,4,7]=>[[1,2,5,6,8],[3,4,7]]=>8
[5,1,2,6,3,8,4,7]=>[[1,3,4,6,8],[2,5,7]]=>13
[1,5,2,6,3,8,4,7]=>[[1,2,4,6,8],[3,5,7]]=>12
[1,5,6,2,3,8,4,7]=>[[1,2,3,6,8],[4,5,7]]=>7
[5,1,2,6,8,3,4,7]=>[[1,3,4,5,8],[2,6,7]]=>10
[1,5,2,6,8,3,4,7]=>[[1,2,4,5,8],[3,6,7]]=>9
[1,5,6,2,8,3,4,7]=>[[1,2,3,5,8],[4,6,7]]=>8
[1,5,6,8,2,3,4,7]=>[[1,2,3,4,8],[5,6,7]]=>4
[5,1,6,2,3,4,8,7]=>[[1,3,5,6,7],[2,4,8]]=>13
[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]]=>12
[1,5,2,6,3,4,8,7]=>[[1,2,4,6,7],[3,5,8]]=>11
[1,5,6,2,3,4,8,7]=>[[1,2,3,6,7],[4,5,8]]=>6
[1,5,2,3,6,4,8,7]=>[[1,2,4,5,7],[3,6,8]]=>10
[1,2,5,3,6,4,8,7]=>[[1,2,3,5,7],[4,6,8]]=>9
[1,2,5,6,3,4,8,7]=>[[1,2,3,4,7],[5,6,8]]=>5
[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]]=>8
[1,2,5,6,3,8,4,7]=>[[1,2,3,4,6],[5,7,8]]=>6
[5,1,6,2,3,4,7,8]=>[[1,3,5,6,7,8],[2,4]]=>12
[5,1,2,6,3,4,7,8]=>[[1,3,4,6,7,8],[2,5]]=>11
[1,5,2,6,3,4,7,8]=>[[1,2,4,6,7,8],[3,5]]=>10
[1,5,6,2,3,4,7,8]=>[[1,2,3,6,7,8],[4,5]]=>5
[5,1,2,3,6,4,7,8]=>[[1,3,4,5,7,8],[2,6]]=>10
[1,5,2,3,6,4,7,8]=>[[1,2,4,5,7,8],[3,6]]=>9
[1,2,5,3,6,4,7,8]=>[[1,2,3,5,7,8],[4,6]]=>8
[1,2,5,6,3,4,7,8]=>[[1,2,3,4,7,8],[5,6]]=>4
[5,1,2,3,6,7,4,8]=>[[1,3,4,5,6,8],[2,7]]=>9
[1,5,2,3,6,7,4,8]=>[[1,2,4,5,6,8],[3,7]]=>8
[1,2,5,3,6,7,4,8]=>[[1,2,3,5,6,8],[4,7]]=>7
[1,2,5,6,3,7,4,8]=>[[1,2,3,4,6,8],[5,7]]=>6
[5,1,2,3,6,7,8,4]=>[[1,3,4,5,6,7],[2,8]]=>8
[1,5,2,3,6,7,8,4]=>[[1,2,4,5,6,7],[3,8]]=>7
[1,2,5,3,6,7,8,4]=>[[1,2,3,5,6,7],[4,8]]=>6
[1,2,5,6,3,7,8,4]=>[[1,2,3,4,6,7],[5,8]]=>5
[1,2,5,6,7,3,8,4]=>[[1,2,3,4,5,7],[6,8]]=>4
[1,2,5,6,7,8,3,4]=>[[1,2,3,4,5,6],[7,8]]=>2
[5,1,7,2,8,3,4,6]=>[[1,3,5,7,8],[2,4,6]]=>15
[5,7,1,2,8,3,4,6]=>[[1,2,5,7,8],[3,4,6]]=>9
[5,1,7,8,2,3,4,6]=>[[1,3,4,7,8],[2,5,6]]=>11
[5,7,1,8,2,3,4,6]=>[[1,2,4,7,8],[3,5,6]]=>10
[5,7,8,1,2,3,4,6]=>[[1,2,3,7,8],[4,5,6]]=>5
[5,1,7,2,3,8,4,6]=>[[1,3,5,6,8],[2,4,7]]=>14
[5,7,1,2,3,8,4,6]=>[[1,2,5,6,8],[3,4,7]]=>8
[5,1,2,7,3,8,4,6]=>[[1,3,4,6,8],[2,5,7]]=>13
[1,5,2,7,3,8,4,6]=>[[1,2,4,6,8],[3,5,7]]=>12
[1,5,7,2,3,8,4,6]=>[[1,2,3,6,8],[4,5,7]]=>7
[5,1,2,7,8,3,4,6]=>[[1,3,4,5,8],[2,6,7]]=>10
[1,5,2,7,8,3,4,6]=>[[1,2,4,5,8],[3,6,7]]=>9
[1,5,7,2,8,3,4,6]=>[[1,2,3,5,8],[4,6,7]]=>8
[1,5,7,8,2,3,4,6]=>[[1,2,3,4,8],[5,6,7]]=>4
[5,1,7,2,3,4,8,6]=>[[1,3,5,6,7],[2,4,8]]=>13
[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]]=>12
[1,5,2,7,3,4,8,6]=>[[1,2,4,6,7],[3,5,8]]=>11
[1,5,7,2,3,4,8,6]=>[[1,2,3,6,7],[4,5,8]]=>6
[5,1,2,3,7,4,8,6]=>[[1,3,4,5,7],[2,6,8]]=>11
[1,5,2,3,7,4,8,6]=>[[1,2,4,5,7],[3,6,8]]=>10
[1,2,5,3,7,4,8,6]=>[[1,2,3,5,7],[4,6,8]]=>9
[1,2,5,7,3,4,8,6]=>[[1,2,3,4,7],[5,6,8]]=>5
[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]]=>8
[1,2,5,7,3,8,4,6]=>[[1,2,3,4,6],[5,7,8]]=>6
[1,2,5,7,8,3,4,6]=>[[1,2,3,4,5],[6,7,8]]=>3
[5,1,7,2,3,4,6,8]=>[[1,3,5,6,7,8],[2,4]]=>12
[5,7,1,2,3,4,6,8]=>[[1,2,5,6,7,8],[3,4]]=>6
[5,1,2,7,3,4,6,8]=>[[1,3,4,6,7,8],[2,5]]=>11
[1,5,2,7,3,4,6,8]=>[[1,2,4,6,7,8],[3,5]]=>10
[1,5,2,3,7,4,6,8]=>[[1,2,4,5,7,8],[3,6]]=>9
[1,2,5,3,7,4,6,8]=>[[1,2,3,5,7,8],[4,6]]=>8
[1,2,5,7,3,4,6,8]=>[[1,2,3,4,7,8],[5,6]]=>4
[1,5,2,3,4,7,6,8]=>[[1,2,4,5,6,8],[3,7]]=>8
[1,2,5,3,4,7,6,8]=>[[1,2,3,5,6,8],[4,7]]=>7
[1,2,3,5,7,4,6,8]=>[[1,2,3,4,5,8],[6,7]]=>3
[5,1,2,3,4,7,8,6]=>[[1,3,4,5,6,7],[2,8]]=>8
[1,5,2,3,4,7,8,6]=>[[1,2,4,5,6,7],[3,8]]=>7
[1,2,5,3,4,7,8,6]=>[[1,2,3,5,6,7],[4,8]]=>6
[1,2,3,5,7,4,8,6]=>[[1,2,3,4,5,7],[6,8]]=>4
[1,2,3,5,7,8,4,6]=>[[1,2,3,4,5,6],[7,8]]=>2
[5,1,8,2,3,4,6,7]=>[[1,3,5,6,7,8],[2,4]]=>12
[5,8,1,2,3,4,6,7]=>[[1,2,5,6,7,8],[3,4]]=>6
[5,1,2,8,3,4,6,7]=>[[1,3,4,6,7,8],[2,5]]=>11
[1,5,2,8,3,4,6,7]=>[[1,2,4,6,7,8],[3,5]]=>10
[1,5,8,2,3,4,6,7]=>[[1,2,3,6,7,8],[4,5]]=>5
[5,1,2,3,8,4,6,7]=>[[1,3,4,5,7,8],[2,6]]=>10
[1,5,2,3,8,4,6,7]=>[[1,2,4,5,7,8],[3,6]]=>9
[1,2,5,3,8,4,6,7]=>[[1,2,3,5,7,8],[4,6]]=>8
[1,2,5,8,3,4,6,7]=>[[1,2,3,4,7,8],[5,6]]=>4
[5,1,2,3,4,8,6,7]=>[[1,3,4,5,6,8],[2,7]]=>9
[1,5,2,3,4,8,6,7]=>[[1,2,4,5,6,8],[3,7]]=>8
[1,2,5,3,4,8,6,7]=>[[1,2,3,5,6,8],[4,7]]=>7
[1,2,3,5,4,8,6,7]=>[[1,2,3,4,6,8],[5,7]]=>6
[1,2,3,5,8,4,6,7]=>[[1,2,3,4,5,8],[6,7]]=>3
[5,1,2,3,4,6,8,7]=>[[1,3,4,5,6,7],[2,8]]=>8
[1,5,2,3,4,6,8,7]=>[[1,2,4,5,6,7],[3,8]]=>7
[1,2,5,3,4,6,8,7]=>[[1,2,3,5,6,7],[4,8]]=>6
[1,2,3,5,6,8,4,7]=>[[1,2,3,4,5,6],[7,8]]=>2
[1,5,2,3,4,6,7,8]=>[[1,2,4,5,6,7,8],[3]]=>6
[1,2,5,3,4,6,7,8]=>[[1,2,3,5,6,7,8],[4]]=>5
[6,1,7,2,8,3,4,5]=>[[1,3,5,7,8],[2,4,6]]=>15
[6,7,1,2,8,3,4,5]=>[[1,2,5,7,8],[3,4,6]]=>9
[6,1,7,8,2,3,4,5]=>[[1,3,4,7,8],[2,5,6]]=>11
[6,7,1,8,2,3,4,5]=>[[1,2,4,7,8],[3,5,6]]=>10
[6,1,7,2,3,8,4,5]=>[[1,3,5,6,8],[2,4,7]]=>14
[6,7,1,2,3,8,4,5]=>[[1,2,5,6,8],[3,4,7]]=>8
[6,1,2,7,3,8,4,5]=>[[1,3,4,6,8],[2,5,7]]=>13
[1,6,2,7,3,8,4,5]=>[[1,2,4,6,8],[3,5,7]]=>12
[1,6,7,2,3,8,4,5]=>[[1,2,3,6,8],[4,5,7]]=>7
[6,1,2,7,8,3,4,5]=>[[1,3,4,5,8],[2,6,7]]=>10
[1,6,2,7,8,3,4,5]=>[[1,2,4,5,8],[3,6,7]]=>9
[1,6,7,2,8,3,4,5]=>[[1,2,3,5,8],[4,6,7]]=>8
[1,6,7,8,2,3,4,5]=>[[1,2,3,4,8],[5,6,7]]=>4
[6,1,7,2,3,4,8,5]=>[[1,3,5,6,7],[2,4,8]]=>13
[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]]=>12
[1,6,2,7,3,4,8,5]=>[[1,2,4,6,7],[3,5,8]]=>11
[1,6,7,2,3,4,8,5]=>[[1,2,3,6,7],[4,5,8]]=>6
[6,1,2,3,7,4,8,5]=>[[1,3,4,5,7],[2,6,8]]=>11
[1,6,2,3,7,4,8,5]=>[[1,2,4,5,7],[3,6,8]]=>10
[1,2,6,3,7,4,8,5]=>[[1,2,3,5,7],[4,6,8]]=>9
[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]]=>8
[1,2,6,3,7,8,4,5]=>[[1,2,3,5,6],[4,7,8]]=>7
[1,2,6,7,3,8,4,5]=>[[1,2,3,4,6],[5,7,8]]=>6
[1,2,6,7,8,3,4,5]=>[[1,2,3,4,5],[6,7,8]]=>3
[6,1,7,2,3,4,5,8]=>[[1,3,5,6,7,8],[2,4]]=>12
[6,1,2,7,3,4,5,8]=>[[1,3,4,6,7,8],[2,5]]=>11
[1,6,2,7,3,4,5,8]=>[[1,2,4,6,7,8],[3,5]]=>10
[1,6,7,2,3,4,5,8]=>[[1,2,3,6,7,8],[4,5]]=>5
[6,1,2,3,7,4,5,8]=>[[1,3,4,5,7,8],[2,6]]=>10
[1,6,2,3,7,4,5,8]=>[[1,2,4,5,7,8],[3,6]]=>9
[1,2,6,3,7,4,5,8]=>[[1,2,3,5,7,8],[4,6]]=>8
[1,2,6,7,3,4,5,8]=>[[1,2,3,4,7,8],[5,6]]=>4
[6,1,2,3,4,7,5,8]=>[[1,3,4,5,6,8],[2,7]]=>9
[1,6,2,3,4,7,5,8]=>[[1,2,4,5,6,8],[3,7]]=>8
[1,2,6,3,4,7,5,8]=>[[1,2,3,5,6,8],[4,7]]=>7
[1,2,3,6,4,7,5,8]=>[[1,2,3,4,6,8],[5,7]]=>6
[1,2,3,6,7,4,5,8]=>[[1,2,3,4,5,8],[6,7]]=>3
[6,1,2,3,4,7,8,5]=>[[1,3,4,5,6,7],[2,8]]=>8
[1,6,2,3,4,7,8,5]=>[[1,2,4,5,6,7],[3,8]]=>7
[1,2,6,3,4,7,8,5]=>[[1,2,3,5,6,7],[4,8]]=>6
[1,2,3,6,4,7,8,5]=>[[1,2,3,4,6,7],[5,8]]=>5
[1,2,3,6,7,4,8,5]=>[[1,2,3,4,5,7],[6,8]]=>4
[1,2,3,6,7,8,4,5]=>[[1,2,3,4,5,6],[7,8]]=>2
[6,1,8,2,3,4,5,7]=>[[1,3,5,6,7,8],[2,4]]=>12
[6,8,1,2,3,4,5,7]=>[[1,2,5,6,7,8],[3,4]]=>6
[6,1,2,8,3,4,5,7]=>[[1,3,4,6,7,8],[2,5]]=>11
[1,6,2,8,3,4,5,7]=>[[1,2,4,6,7,8],[3,5]]=>10
[1,6,8,2,3,4,5,7]=>[[1,2,3,6,7,8],[4,5]]=>5
[6,1,2,3,8,4,5,7]=>[[1,3,4,5,7,8],[2,6]]=>10
[1,6,2,3,8,4,5,7]=>[[1,2,4,5,7,8],[3,6]]=>9
[1,2,6,3,8,4,5,7]=>[[1,2,3,5,7,8],[4,6]]=>8
[1,2,6,8,3,4,5,7]=>[[1,2,3,4,7,8],[5,6]]=>4
[6,1,2,3,4,8,5,7]=>[[1,3,4,5,6,8],[2,7]]=>9
[1,6,2,3,4,8,5,7]=>[[1,2,4,5,6,8],[3,7]]=>8
[1,2,6,3,4,8,5,7]=>[[1,2,3,5,6,8],[4,7]]=>7
[1,2,3,6,4,8,5,7]=>[[1,2,3,4,6,8],[5,7]]=>6
[1,2,3,6,8,4,5,7]=>[[1,2,3,4,5,8],[6,7]]=>3
[6,1,2,3,4,5,8,7]=>[[1,3,4,5,6,7],[2,8]]=>8
[1,6,2,3,4,5,8,7]=>[[1,2,4,5,6,7],[3,8]]=>7
[1,2,6,3,4,5,8,7]=>[[1,2,3,5,6,7],[4,8]]=>6
[1,2,3,6,4,5,8,7]=>[[1,2,3,4,6,7],[5,8]]=>5
[1,2,3,4,6,8,5,7]=>[[1,2,3,4,5,6],[7,8]]=>2
[1,6,2,3,4,5,7,8]=>[[1,2,4,5,6,7,8],[3]]=>6
[1,2,6,3,4,5,7,8]=>[[1,2,3,5,6,7,8],[4]]=>5
[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]]=>12
[7,1,2,8,3,4,5,6]=>[[1,3,4,6,7,8],[2,5]]=>11
[1,7,2,8,3,4,5,6]=>[[1,2,4,6,7,8],[3,5]]=>10
[1,7,8,2,3,4,5,6]=>[[1,2,3,6,7,8],[4,5]]=>5
[7,1,2,3,8,4,5,6]=>[[1,3,4,5,7,8],[2,6]]=>10
[1,7,2,3,8,4,5,6]=>[[1,2,4,5,7,8],[3,6]]=>9
[1,2,7,3,8,4,5,6]=>[[1,2,3,5,7,8],[4,6]]=>8
[1,2,7,8,3,4,5,6]=>[[1,2,3,4,7,8],[5,6]]=>4
[7,1,2,3,4,8,5,6]=>[[1,3,4,5,6,8],[2,7]]=>9
[1,7,2,3,4,8,5,6]=>[[1,2,4,5,6,8],[3,7]]=>8
[1,2,7,3,4,8,5,6]=>[[1,2,3,5,6,8],[4,7]]=>7
[1,2,3,7,4,8,5,6]=>[[1,2,3,4,6,8],[5,7]]=>6
[1,2,3,7,8,4,5,6]=>[[1,2,3,4,5,8],[6,7]]=>3
[7,1,2,3,4,5,8,6]=>[[1,3,4,5,6,7],[2,8]]=>8
[1,7,2,3,4,5,8,6]=>[[1,2,4,5,6,7],[3,8]]=>7
[1,2,7,3,4,5,8,6]=>[[1,2,3,5,6,7],[4,8]]=>6
[1,2,3,7,4,5,8,6]=>[[1,2,3,4,6,7],[5,8]]=>5
[1,2,3,4,7,5,8,6]=>[[1,2,3,4,5,7],[6,8]]=>4
[1,2,3,4,7,8,5,6]=>[[1,2,3,4,5,6],[7,8]]=>2
[1,7,2,3,4,5,6,8]=>[[1,2,4,5,6,7,8],[3]]=>6
[1,2,7,3,4,5,6,8]=>[[1,2,3,5,6,7,8],[4]]=>5
[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]]=>3
[1,8,2,3,4,5,6,7]=>[[1,2,4,5,6,7,8],[3]]=>6
[1,2,8,3,4,5,6,7]=>[[1,2,3,5,6,7,8],[4]]=>5
[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]]=>3
[1,2,3,4,5,8,6,7]=>[[1,2,3,4,5,6,8],[7]]=>2
[5,3,2,6,1,4,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[7,3,2,5,4,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[8,4,5,2,3,7,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[7,4,5,2,3,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[6,4,5,2,3,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[5,4,6,2,1,3,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[3,6,1,5,4,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[4,6,5,1,3,2,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[5,6,4,3,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[7,5,4,3,2,8,1,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>20
[8,6,4,3,7,2,5,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[7,6,4,3,8,2,1,5]=>[[1,5],[2,8],[3],[4],[6],[7]]=>21
[6,7,4,3,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[5,7,4,3,1,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[4,7,5,1,3,8,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[3,7,1,5,4,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[2,1,7,5,4,8,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[3,8,1,5,4,7,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[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]]=>15
[6,8,4,3,7,1,5,2]=>[[1,2],[3,5],[4,7],[6,8]]=>18
[7,8,4,3,6,5,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>16
[6,8,5,7,3,1,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>14
[5,8,6,7,1,3,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[4,8,6,1,7,3,5,2]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[3,8,1,6,7,4,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[2,1,8,6,7,4,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[2,1,7,6,8,4,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[3,7,1,6,8,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[4,7,6,1,8,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[5,7,6,8,1,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[5,4,7,2,1,8,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[6,4,7,2,8,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[7,4,6,2,8,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[8,4,6,2,7,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[8,3,2,6,7,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[7,3,2,6,8,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[6,3,2,7,8,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[5,3,2,7,1,8,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[4,3,2,1,7,8,5,6]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[3,4,1,2,8,7,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[5,3,2,8,1,7,6,4]=>[[1,4],[2,6],[3,7],[5,8]]=>20
[6,3,2,8,7,1,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>19
[7,3,2,8,6,5,1,4]=>[[1,4],[2,5],[3,6],[7,8]]=>17
[8,4,7,2,6,5,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>26
[7,4,8,2,6,5,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>22
[6,4,8,2,7,1,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>24
[5,4,8,2,1,7,6,3]=>[[1,3],[2,6],[4,7],[5,8]]=>21
[4,5,8,1,2,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[3,5,1,8,2,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[2,1,5,8,3,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[2,1,6,8,7,3,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[3,6,1,8,7,2,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[4,6,8,1,7,2,5,3]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[5,6,8,7,1,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[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]]=>18
[8,5,7,6,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>25
[5,7,8,6,1,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[4,7,8,1,6,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[3,7,1,8,6,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[2,1,7,8,6,5,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[3,8,1,7,6,5,4,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>16
[4,8,7,1,6,5,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>20
[5,8,7,6,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>19
[6,8,7,5,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>18
[4,2,5,1,3,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[5,2,4,1,3,6,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[3,2,6,1,4,5,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[4,2,6,1,3,5,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[5,3,6,1,2,4,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[6,2,4,1,3,5,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[6,3,5,1,2,4,7,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[5,3,7,1,2,4,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[5,4,7,1,2,3,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[6,2,7,1,3,4,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[6,3,7,1,2,4,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[6,4,7,1,2,3,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[7,3,5,1,2,4,6,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[7,3,6,1,2,4,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[7,4,6,1,2,3,5,8]=>[[1,3,6,7,8],[2,5],[4]]=>17
[3,2,8,1,4,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>17
[4,2,8,1,3,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>17
[5,4,8,1,2,3,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>17
[6,2,8,1,3,4,5,7]=>[[1,3,6,7,8],[2,5],[4]]=>17
[6,3,8,1,2,4,5,7]=>[[1,3,6,7,8],[2,5],[4]]=>17
[6,4,8,1,2,3,5,7]=>[[1,3,6,7,8],[2,5],[4]]=>17
[6,5,8,1,2,3,4,7]=>[[1,3,6,7,8],[2,5],[4]]=>17
[7,2,8,1,3,4,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>17
[7,3,8,1,2,4,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>17
[7,4,8,1,2,3,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>17
[7,5,8,1,2,3,4,6]=>[[1,3,6,7,8],[2,5],[4]]=>17
[8,2,4,1,3,5,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>17
[8,3,5,1,2,4,6,7]=>[[1,3,6,7,8],[2,5],[4]]=>17
[8,3,6,1,2,4,5,7]=>[[1,3,6,7,8],[2,5],[4]]=>17
[8,3,7,1,2,4,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>17
[8,4,7,1,2,3,5,6]=>[[1,3,6,7,8],[2,5],[4]]=>17
[8,5,7,1,2,3,4,6]=>[[1,3,6,7,8],[2,5],[4]]=>17
[3,2,5,7,1,4,6,8]=>[[1,3,4,8],[2,6,7],[5]]=>15
[4,2,5,7,1,3,6,8]=>[[1,3,4,8],[2,6,7],[5]]=>15
[5,2,4,7,1,3,6,8]=>[[1,3,4,8],[2,6,7],[5]]=>15
[4,2,6,7,1,3,5,8]=>[[1,3,4,8],[2,6,7],[5]]=>15
[5,2,6,7,1,3,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>15
[6,2,5,7,1,3,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>15
[6,3,5,7,1,2,4,8]=>[[1,3,4,8],[2,6,7],[5]]=>15
[3,2,5,8,1,4,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>15
[4,2,5,8,1,3,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>15
[4,3,5,8,1,2,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>15
[5,2,4,8,1,3,6,7]=>[[1,3,4,8],[2,6,7],[5]]=>15
[3,2,6,8,1,4,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>15
[4,2,6,8,1,3,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>15
[5,2,6,8,1,3,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>15
[6,2,4,8,1,3,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>15
[6,3,4,8,1,2,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>15
[6,2,5,8,1,3,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>15
[6,3,5,8,1,2,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>15
[6,4,5,8,1,2,3,7]=>[[1,3,4,8],[2,6,7],[5]]=>15
[3,2,7,8,1,4,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>15
[4,3,7,8,1,2,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>15
[5,3,7,8,1,2,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>15
[5,4,7,8,1,2,3,6]=>[[1,3,4,8],[2,6,7],[5]]=>15
[6,2,7,8,1,3,4,5]=>[[1,3,4,8],[2,6,7],[5]]=>15
[6,3,7,8,1,2,4,5]=>[[1,3,4,8],[2,6,7],[5]]=>15
[6,4,7,8,1,2,3,5]=>[[1,3,4,8],[2,6,7],[5]]=>15
[7,2,4,8,1,3,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>15
[7,3,4,8,1,2,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>15
[7,3,5,8,1,2,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>15
[7,4,5,8,1,2,3,6]=>[[1,3,4,8],[2,6,7],[5]]=>15
[7,4,6,8,1,2,3,5]=>[[1,3,4,8],[2,6,7],[5]]=>15
[8,3,4,6,1,2,5,7]=>[[1,3,4,8],[2,6,7],[5]]=>15
[8,3,5,6,1,2,4,7]=>[[1,3,4,8],[2,6,7],[5]]=>15
[8,2,4,7,1,3,5,6]=>[[1,3,4,8],[2,6,7],[5]]=>15
[8,2,5,7,1,3,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>15
[8,3,5,7,1,2,4,6]=>[[1,3,4,8],[2,6,7],[5]]=>15
[8,2,6,7,1,3,4,5]=>[[1,3,4,8],[2,6,7],[5]]=>15
[8,4,6,7,1,2,3,5]=>[[1,3,4,8],[2,6,7],[5]]=>15
[4,6,2,5,1,3,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>8
[4,6,3,5,1,2,7,8]=>[[1,2,7,8],[3,4],[5,6]]=>8
[3,7,2,5,1,4,6,8]=>[[1,2,7,8],[3,4],[5,6]]=>8
[4,7,3,5,1,2,6,8]=>[[1,2,7,8],[3,4],[5,6]]=>8
[5,7,2,4,1,3,6,8]=>[[1,2,7,8],[3,4],[5,6]]=>8
[3,7,2,6,1,4,5,8]=>[[1,2,7,8],[3,4],[5,6]]=>8
[4,7,3,6,1,2,5,8]=>[[1,2,7,8],[3,4],[5,6]]=>8
[5,7,2,6,1,3,4,8]=>[[1,2,7,8],[3,4],[5,6]]=>8
[6,7,2,5,1,3,4,8]=>[[1,2,7,8],[3,4],[5,6]]=>8
[4,8,2,5,1,3,6,7]=>[[1,2,7,8],[3,4],[5,6]]=>8
[5,8,2,4,1,3,6,7]=>[[1,2,7,8],[3,4],[5,6]]=>8
[5,8,3,4,1,2,6,7]=>[[1,2,7,8],[3,4],[5,6]]=>8
[3,8,2,6,1,4,5,7]=>[[1,2,7,8],[3,4],[5,6]]=>8
[5,8,3,6,1,2,4,7]=>[[1,2,7,8],[3,4],[5,6]]=>8
[5,8,4,6,1,2,3,7]=>[[1,2,7,8],[3,4],[5,6]]=>8
[6,8,3,5,1,2,4,7]=>[[1,2,7,8],[3,4],[5,6]]=>8
[3,8,2,7,1,4,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>8
[4,8,2,7,1,3,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>8
[4,8,3,7,1,2,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>8
[5,8,2,7,1,3,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>8
[5,8,3,7,1,2,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>8
[6,8,2,7,1,3,4,5]=>[[1,2,7,8],[3,4],[5,6]]=>8
[6,8,3,7,1,2,4,5]=>[[1,2,7,8],[3,4],[5,6]]=>8
[6,8,5,7,1,2,3,4]=>[[1,2,7,8],[3,4],[5,6]]=>8
[7,8,2,4,1,3,5,6]=>[[1,2,7,8],[3,4],[5,6]]=>8
[7,8,2,5,1,3,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>8
[7,8,3,5,1,2,4,6]=>[[1,2,7,8],[3,4],[5,6]]=>8
[7,8,4,6,1,2,3,5]=>[[1,2,7,8],[3,4],[5,6]]=>8
[4,3,2,6,1,5,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[5,3,2,6,1,4,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[6,3,2,5,1,4,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[6,5,2,4,1,3,7,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[4,3,2,7,1,5,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[5,3,2,7,1,4,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[5,4,3,7,1,2,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[6,3,2,7,1,4,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[6,4,2,7,1,3,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[6,4,3,7,1,2,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[6,5,2,7,1,3,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[6,5,3,7,1,2,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[7,3,2,5,1,4,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[7,4,2,5,1,3,6,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[7,3,2,6,1,4,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[7,4,2,6,1,3,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[7,4,3,6,1,2,5,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[7,5,2,6,1,3,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[7,5,3,6,1,2,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[7,6,3,5,1,2,4,8]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[4,3,2,8,1,5,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[5,3,2,8,1,4,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[5,4,3,8,1,2,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[6,3,2,8,1,4,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[6,4,2,8,1,3,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[6,4,3,8,1,2,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[6,5,2,8,1,3,4,7]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[6,5,3,8,1,2,4,7]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[7,3,2,8,1,4,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[7,4,2,8,1,3,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[7,4,3,8,1,2,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[7,5,3,8,1,2,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[7,5,4,8,1,2,3,6]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[7,6,2,8,1,3,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,3,2,5,1,4,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,4,2,5,1,3,6,7]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,3,2,6,1,4,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,4,2,6,1,3,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,5,3,6,1,2,4,7]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,6,2,4,1,3,5,7]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,6,2,5,1,3,4,7]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,3,2,7,1,4,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,4,2,7,1,3,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,4,3,7,1,2,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,5,2,7,1,3,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,5,3,7,1,2,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,6,3,7,1,2,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,7,2,4,1,3,5,6]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,7,2,5,1,3,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,7,3,5,1,2,4,6]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,7,2,6,1,3,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,7,3,6,1,2,4,5]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[8,7,4,6,1,2,3,5]=>[[1,4,7,8],[2,6],[3],[5]]=>17
[4,6,3,5,8,1,2,7]=>[[1,2,5],[3,4,8],[6,7]]=>12
[5,6,2,4,8,1,3,7]=>[[1,2,5],[3,4,8],[6,7]]=>12
[4,7,2,5,8,1,3,6]=>[[1,2,5],[3,4,8],[6,7]]=>12
[4,7,3,5,8,1,2,6]=>[[1,2,5],[3,4,8],[6,7]]=>12
[5,7,2,4,8,1,3,6]=>[[1,2,5],[3,4,8],[6,7]]=>12
[5,7,3,4,8,1,2,6]=>[[1,2,5],[3,4,8],[6,7]]=>12
[4,7,3,6,8,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>12
[5,7,2,6,8,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>12
[5,7,4,6,8,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>12
[6,7,3,4,8,1,2,5]=>[[1,2,5],[3,4,8],[6,7]]=>12
[6,7,3,5,8,1,2,4]=>[[1,2,5],[3,4,8],[6,7]]=>12
[3,8,2,5,7,1,4,6]=>[[1,2,5],[3,4,8],[6,7]]=>12
[4,8,3,5,7,1,2,6]=>[[1,2,5],[3,4,8],[6,7]]=>12
[5,8,2,4,7,1,3,6]=>[[1,2,5],[3,4,8],[6,7]]=>12
[3,8,2,6,7,1,4,5]=>[[1,2,5],[3,4,8],[6,7]]=>12
[5,8,2,6,7,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>12
[5,8,3,6,7,1,2,4]=>[[1,2,5],[3,4,8],[6,7]]=>12
[6,8,2,5,7,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>12
[6,8,4,5,7,1,2,3]=>[[1,2,5],[3,4,8],[6,7]]=>12
[7,8,2,4,6,1,3,5]=>[[1,2,5],[3,4,8],[6,7]]=>12
[7,8,2,5,6,1,3,4]=>[[1,2,5],[3,4,8],[6,7]]=>12
[7,8,3,5,6,1,2,4]=>[[1,2,5],[3,4,8],[6,7]]=>12
[4,3,2,6,8,1,5,7]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[5,3,2,6,8,1,4,7]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[5,4,2,6,8,1,3,7]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[5,4,3,6,8,1,2,7]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[6,3,2,5,8,1,4,7]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[6,4,3,5,8,1,2,7]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[6,5,2,4,8,1,3,7]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[4,3,2,7,8,1,5,6]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[5,3,2,7,8,1,4,6]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[5,4,2,7,8,1,3,6]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[5,4,3,7,8,1,2,6]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[6,4,2,7,8,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[6,4,3,7,8,1,2,5]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[6,5,2,7,8,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[7,4,2,5,8,1,3,6]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[7,4,3,5,8,1,2,6]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[7,5,2,6,8,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[7,5,3,6,8,1,2,4]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[7,6,2,4,8,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[7,6,3,5,8,1,2,4]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[8,3,2,5,7,1,4,6]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[8,4,2,5,7,1,3,6]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[8,5,2,4,7,1,3,6]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[8,3,2,6,7,1,4,5]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[8,5,2,6,7,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[8,5,3,6,7,1,2,4]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[8,6,2,4,7,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[8,7,2,4,6,1,3,5]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[8,7,3,4,6,1,2,5]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[8,7,2,5,6,1,3,4]=>[[1,4,5],[2,7,8],[3],[6]]=>15
[4,3,7,2,6,1,5,8]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[5,3,7,2,6,1,4,8]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[5,4,7,2,6,1,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[6,3,7,2,5,1,4,8]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[6,4,7,2,5,1,3,8]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[6,4,7,3,5,1,2,8]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[7,3,6,2,5,1,4,8]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[4,3,8,2,6,1,5,7]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[5,3,8,2,6,1,4,7]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[5,4,8,2,6,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[5,4,8,3,6,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[6,4,8,2,5,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[6,4,8,3,5,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[6,5,8,2,4,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[6,5,8,3,4,1,2,7]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[4,3,8,2,7,1,5,6]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[5,3,8,2,7,1,4,6]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[5,4,8,2,7,1,3,6]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[5,4,8,3,7,1,2,6]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[6,3,8,2,7,1,4,5]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[6,4,8,2,7,1,3,5]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[7,3,8,2,5,1,4,6]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[7,4,8,3,5,1,2,6]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[7,5,8,2,4,1,3,6]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[7,5,8,2,6,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[7,5,8,4,6,1,2,3]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[7,6,8,2,5,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[7,6,8,3,5,1,2,4]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[8,3,6,2,5,1,4,7]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[8,5,6,2,4,1,3,7]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[8,3,7,2,5,1,4,6]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[8,4,7,3,5,1,2,6]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[8,5,7,2,4,1,3,6]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[8,3,7,2,6,1,4,5]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[8,4,7,2,6,1,3,5]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[8,4,7,3,6,1,2,5]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[8,5,7,2,6,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[8,6,7,2,4,1,3,5]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[8,6,7,2,5,1,3,4]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[8,6,7,3,5,1,2,4]=>[[1,3,8],[2,5],[4,7],[6]]=>22
[5,4,3,2,7,1,6,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[6,4,3,2,7,1,5,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[6,5,3,2,7,1,4,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[6,5,4,2,7,1,3,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[7,5,3,2,6,1,4,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[7,5,4,2,6,1,3,8]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[5,4,3,2,8,1,6,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[6,5,3,2,8,1,4,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[6,5,4,2,8,1,3,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[6,5,4,3,8,1,2,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[7,5,3,2,8,1,4,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[7,5,4,2,8,1,3,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[7,6,3,2,8,1,4,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[7,6,4,3,8,1,2,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[7,6,5,2,8,1,3,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[8,5,3,2,6,1,4,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[8,5,4,2,6,1,3,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[8,6,5,2,4,1,3,7]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[8,5,3,2,7,1,4,6]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[8,6,3,2,7,1,4,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[8,6,4,3,7,1,2,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[8,7,3,2,6,1,4,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[8,7,4,2,6,1,3,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[8,7,4,3,6,1,2,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[8,7,5,2,6,1,3,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[8,7,6,2,4,1,3,5]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[8,7,6,2,5,1,3,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[8,7,6,3,5,1,2,4]=>[[1,5,8],[2,7],[3],[4],[6]]=>18
[4,8,3,7,2,6,1,5]=>[[1,2],[3,4],[5,6],[7,8]]=>12
[5,8,3,7,2,6,1,4]=>[[1,2],[3,4],[5,6],[7,8]]=>12
[5,8,4,7,2,6,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>12
[5,8,4,7,3,6,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>12
[6,8,3,7,2,5,1,4]=>[[1,2],[3,4],[5,6],[7,8]]=>12
[6,8,4,7,2,5,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>12
[6,8,4,7,3,5,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>12
[6,8,5,7,2,4,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>12
[6,8,5,7,3,4,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>12
[7,8,3,6,2,5,1,4]=>[[1,2],[3,4],[5,6],[7,8]]=>12
[7,8,4,6,2,5,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>12
[7,8,4,6,3,5,1,2]=>[[1,2],[3,4],[5,6],[7,8]]=>12
[7,8,5,6,2,4,1,3]=>[[1,2],[3,4],[5,6],[7,8]]=>12
[5,4,3,8,2,7,1,6]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[6,4,3,8,2,7,1,5]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[6,5,3,8,2,7,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[6,5,4,8,3,7,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[7,4,3,8,2,6,1,5]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[7,5,3,8,2,6,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[7,5,4,8,2,6,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[7,6,3,8,2,5,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[7,6,4,8,2,5,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[7,6,5,8,2,4,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[8,4,3,7,2,6,1,5]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[8,5,3,7,2,6,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[8,5,4,7,2,6,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[8,5,4,7,3,6,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[8,6,3,7,2,5,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[8,6,4,7,2,5,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[8,6,4,7,3,5,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[8,6,5,7,2,4,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[8,7,3,6,2,5,1,4]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[8,7,4,6,2,5,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[8,7,4,6,3,5,1,2]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[8,7,5,6,2,4,1,3]=>[[1,4],[2,6],[3,8],[5],[7]]=>22
[6,5,4,3,2,8,1,7]=>[[1,6],[2,8],[3],[4],[5],[7]]=>20
[7,6,5,4,2,8,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>20
[8,5,4,3,2,7,1,6]=>[[1,6],[2,8],[3],[4],[5],[7]]=>20
[8,6,5,3,2,7,1,4]=>[[1,6],[2,8],[3],[4],[5],[7]]=>20
[8,7,4,3,2,6,1,5]=>[[1,6],[2,8],[3],[4],[5],[7]]=>20
[8,7,5,3,2,6,1,4]=>[[1,6],[2,8],[3],[4],[5],[7]]=>20
[8,7,5,4,2,6,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>20
[8,7,6,3,2,5,1,4]=>[[1,6],[2,8],[3],[4],[5],[7]]=>20
[8,7,6,4,2,5,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>20
[8,7,6,5,2,4,1,3]=>[[1,6],[2,8],[3],[4],[5],[7]]=>20
[8,1,2,3,4,7,5,6]=>[[1,3,4,5,6,8],[2],[7]]=>10
[8,1,2,3,6,4,5,7]=>[[1,3,4,5,7,8],[2],[6]]=>11
[8,1,2,3,7,4,5,6]=>[[1,3,4,5,7,8],[2],[6]]=>11
[7,1,2,3,6,4,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>12
[5,1,2,3,8,7,4,6]=>[[1,3,4,5,8],[2,6],[7]]=>11
[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]]=>14
[8,1,2,5,3,4,6,7]=>[[1,3,4,6,7,8],[2],[5]]=>12
[7,1,2,5,3,4,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>13
[8,1,2,6,3,4,5,7]=>[[1,3,4,6,7,8],[2],[5]]=>12
[7,1,2,6,3,4,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>13
[6,1,2,5,3,8,4,7]=>[[1,3,4,6,8],[2,7],[5]]=>14
[8,1,2,5,3,7,4,6]=>[[1,3,4,6,8],[2,7],[5]]=>14
[8,1,2,6,3,7,4,5]=>[[1,3,4,6,8],[2,7],[5]]=>14
[6,1,2,5,3,7,8,4]=>[[1,3,4,6,7],[2,8],[5]]=>13
[4,1,2,8,6,3,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>12
[4,1,2,8,7,3,5,6]=>[[1,3,4,7,8],[2,5],[6]]=>12
[4,1,2,7,6,3,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13
[8,1,2,5,6,3,4,7]=>[[1,3,4,5,8],[2,7],[6]]=>13
[8,1,2,5,7,3,4,6]=>[[1,3,4,5,8],[2,7],[6]]=>13
[8,1,2,7,6,3,4,5]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[7,1,2,5,6,3,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>12
[4,1,2,5,8,7,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>12
[4,1,2,8,6,7,3,5]=>[[1,3,4,6],[2,5,8],[7]]=>15
[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]]=>15
[3,1,8,2,6,4,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>16
[3,1,8,2,7,4,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>16
[3,1,7,2,6,4,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>17
[3,1,5,2,8,7,4,6]=>[[1,3,5,8],[2,4,6],[7]]=>16
[3,1,8,2,6,7,4,5]=>[[1,3,5,6],[2,4,8],[7]]=>16
[8,1,4,2,3,5,6,7]=>[[1,3,5,6,7,8],[2],[4]]=>13
[7,1,4,2,3,5,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>14
[6,1,4,2,3,8,5,7]=>[[1,3,5,6,8],[2,7],[4]]=>15
[8,1,4,2,3,7,5,6]=>[[1,3,5,6,8],[2,7],[4]]=>15
[6,1,4,2,3,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>14
[8,1,5,2,3,4,6,7]=>[[1,3,5,6,7,8],[2],[4]]=>13
[7,1,5,2,3,4,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>14
[8,1,7,2,3,4,5,6]=>[[1,3,5,6,7,8],[2],[4]]=>13
[6,1,5,2,3,8,4,7]=>[[1,3,5,6,8],[2,7],[4]]=>15
[8,1,5,2,3,7,4,6]=>[[1,3,5,6,8],[2,7],[4]]=>15
[6,1,8,2,3,7,4,5]=>[[1,3,5,6,8],[2,4],[7]]=>15
[6,1,5,2,3,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>14
[5,1,4,2,8,3,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>16
[5,1,4,2,7,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>17
[8,1,4,2,6,3,5,7]=>[[1,3,5,7,8],[2,6],[4]]=>16
[8,1,4,2,7,3,5,6]=>[[1,3,5,7,8],[2,6],[4]]=>16
[7,1,4,2,6,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>17
[8,1,5,2,6,3,4,7]=>[[1,3,5,7,8],[2,6],[4]]=>16
[8,1,5,2,7,3,4,6]=>[[1,3,5,7,8],[2,6],[4]]=>16
[7,1,8,2,6,3,4,5]=>[[1,3,5,7,8],[2,4],[6]]=>16
[7,1,5,2,6,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>17
[5,1,4,2,6,8,3,7]=>[[1,3,5,6],[2,7,8],[4]]=>15
[5,1,4,2,8,7,3,6]=>[[1,3,5,8],[2,6],[4,7]]=>17
[8,1,4,2,6,7,3,5]=>[[1,3,5,6],[2,7,8],[4]]=>15
[8,1,5,2,6,7,3,4]=>[[1,3,5,6],[2,7,8],[4]]=>15
[5,1,4,2,6,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>14
[3,1,4,8,2,7,5,6]=>[[1,3,4,8],[2,5,6],[7]]=>12
[3,1,8,5,2,4,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>13
[3,1,7,5,2,4,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>14
[3,1,8,6,2,4,5,7]=>[[1,3,6,7,8],[2,4],[5]]=>13
[3,1,7,6,2,4,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>14
[3,1,6,5,2,8,4,7]=>[[1,3,6,8],[2,4,7],[5]]=>15
[3,1,8,5,2,7,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>15
[3,1,8,6,2,7,4,5]=>[[1,3,6,8],[2,4,7],[5]]=>15
[3,1,6,5,2,7,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>14
[8,1,4,5,2,3,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>15
[7,1,4,5,2,3,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>16
[8,1,4,6,2,3,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>15
[7,1,4,8,2,3,5,6]=>[[1,3,4,7,8],[2,6],[5]]=>15
[7,1,4,6,2,3,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>16
[8,1,6,5,2,3,4,7]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[7,1,8,5,2,3,4,6]=>[[1,3,6,7,8],[2,4],[5]]=>13
[7,1,8,6,2,3,4,5]=>[[1,3,6,7,8],[2,4],[5]]=>13
[7,1,6,5,2,3,8,4]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[6,1,4,5,2,8,3,7]=>[[1,3,4,6],[2,7,8],[5]]=>14
[8,1,4,5,2,7,3,6]=>[[1,3,4,6],[2,7,8],[5]]=>14
[8,1,4,6,2,7,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>14
[8,1,6,5,2,7,3,4]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[6,1,4,5,2,7,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>13
[3,1,4,8,6,2,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>14
[3,1,4,8,7,2,5,6]=>[[1,3,4,8],[2,5,7],[6]]=>14
[3,1,4,7,6,2,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13
[3,1,8,5,6,2,4,7]=>[[1,3,5,8],[2,4,7],[6]]=>18
[3,1,8,5,7,2,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>18
[3,1,8,7,6,2,4,5]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[3,1,7,5,6,2,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>17
[8,1,4,5,6,2,3,7]=>[[1,3,4,5,8],[2,7],[6]]=>13
[8,1,4,5,7,2,3,6]=>[[1,3,4,5],[2,7,8],[6]]=>13
[8,1,4,7,6,2,3,5]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[8,1,7,5,6,2,3,4]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[7,1,4,5,6,2,8,3]=>[[1,3,4,5,7],[2,8],[6]]=>12
[3,1,4,5,8,7,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>12
[3,1,4,8,6,7,2,5]=>[[1,3,4,6],[2,5,8],[7]]=>15
[3,1,8,5,6,7,2,4]=>[[1,3,5,6],[2,4,8],[7]]=>16
[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]]=>9
[2,8,1,3,6,4,5,7]=>[[1,2,5,7,8],[3,4],[6]]=>10
[2,8,1,3,7,4,5,6]=>[[1,2,5,7,8],[3,4],[6]]=>10
[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]]=>10
[2,8,1,3,6,7,4,5]=>[[1,2,5,6],[3,4,8],[7]]=>10
[2,4,1,8,3,7,5,6]=>[[1,2,4,8],[3,5,6],[7]]=>11
[2,8,1,5,3,4,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>7
[2,7,1,5,3,4,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>8
[2,8,1,6,3,4,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>7
[2,7,1,6,3,4,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>8
[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]]=>8
[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]]=>12
[2,8,1,5,6,3,4,7]=>[[1,2,5,8],[3,4,7],[6]]=>12
[2,8,1,5,7,3,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>12
[2,8,1,7,6,3,4,5]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[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]]=>11
[2,4,1,8,6,7,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>14
[2,8,1,5,6,7,3,4]=>[[1,2,5,6],[3,4,8],[7]]=>10
[7,3,1,2,4,5,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>9
[6,3,1,2,4,8,5,7]=>[[1,4,5,6,8],[2,7],[3]]=>10
[8,3,1,2,4,7,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>10
[6,3,1,2,4,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>9
[5,3,1,2,8,4,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>11
[5,3,1,2,7,4,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>12
[8,3,1,2,6,4,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>11
[8,3,1,2,7,4,5,6]=>[[1,4,5,7,8],[2,6],[3]]=>11
[7,3,1,2,6,4,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>12
[5,3,1,2,6,8,4,7]=>[[1,4,5,6],[2,7,8],[3]]=>10
[5,3,1,2,8,7,4,6]=>[[1,4,5,8],[2,6],[3,7]]=>12
[8,3,1,2,6,7,4,5]=>[[1,4,5,6],[2,7,8],[3]]=>10
[5,3,1,2,6,7,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>9
[7,4,1,2,3,5,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>9
[6,4,1,2,3,8,5,7]=>[[1,4,5,6,8],[2,7],[3]]=>10
[8,4,1,2,3,7,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>10
[6,4,1,2,3,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>9
[7,6,1,2,3,4,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>9
[5,8,1,2,3,7,4,6]=>[[1,2,5,6,8],[3,4],[7]]=>9
[8,6,1,2,3,7,4,5]=>[[1,4,5,6,8],[2,7],[3]]=>10
[5,4,1,2,8,3,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>11
[5,4,1,2,7,3,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>12
[8,4,1,2,6,3,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>11
[8,4,1,2,7,3,5,6]=>[[1,4,5,7,8],[2,6],[3]]=>11
[7,4,1,2,6,3,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>12
[5,8,1,2,6,3,4,7]=>[[1,2,5,7,8],[3,4],[6]]=>10
[5,8,1,2,7,3,4,6]=>[[1,2,5,7,8],[3,4],[6]]=>10
[8,7,1,2,6,3,4,5]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[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]]=>10
[5,4,1,2,8,7,3,6]=>[[1,4,5,8],[2,6],[3,7]]=>12
[8,4,1,2,6,7,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>10
[5,8,1,2,6,7,3,4]=>[[1,2,5,6],[3,4,8],[7]]=>10
[5,4,1,2,6,7,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>9
[4,3,1,8,2,5,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>12
[4,3,1,7,2,5,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>13
[4,3,1,6,2,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>14
[4,3,1,8,2,7,5,6]=>[[1,4,6,8],[2,5],[3,7]]=>15
[4,3,1,6,2,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>13
[8,3,1,5,2,4,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>12
[7,3,1,5,2,4,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>13
[8,3,1,6,2,4,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>12
[7,3,1,8,2,4,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>12
[7,3,1,6,2,4,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>13
[6,3,1,5,2,8,4,7]=>[[1,4,6,8],[2,5,7],[3]]=>14
[8,3,1,5,2,7,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>14
[8,3,1,6,2,7,4,5]=>[[1,4,6,8],[2,5,7],[3]]=>14
[6,3,1,5,2,7,8,4]=>[[1,4,6,7],[2,5,8],[3]]=>13
[8,4,1,5,2,3,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>12
[7,4,1,5,2,3,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>13
[8,4,1,6,2,3,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>12
[7,4,1,8,2,3,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>12
[7,4,1,6,2,3,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>13
[6,8,1,5,2,3,4,7]=>[[1,2,6,7,8],[3,4],[5]]=>7
[8,7,1,5,2,3,4,6]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[8,7,1,6,2,3,4,5]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[6,7,1,5,2,3,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>8
[6,4,1,5,2,8,3,7]=>[[1,4,6,8],[2,5,7],[3]]=>14
[8,4,1,5,2,7,3,6]=>[[1,4,6,8],[2,5,7],[3]]=>14
[8,4,1,6,2,7,3,5]=>[[1,4,6,8],[2,5,7],[3]]=>14
[6,8,1,5,2,7,3,4]=>[[1,2,6,8],[3,4],[5,7]]=>10
[6,4,1,5,2,7,8,3]=>[[1,4,6,7],[2,5,8],[3]]=>13
[4,3,1,5,8,2,6,7]=>[[1,4,5,8],[2,6,7],[3]]=>11
[4,3,1,5,7,2,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>12
[4,3,1,8,6,2,5,7]=>[[1,4,7,8],[2,5],[3,6]]=>13
[4,3,1,8,7,2,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>13
[4,3,1,7,6,2,8,5]=>[[1,4,7],[2,5,8],[3,6]]=>14
[8,3,1,5,6,2,4,7]=>[[1,4,5,8],[2,6,7],[3]]=>11
[8,3,1,5,7,2,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>11
[8,3,1,7,6,2,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[7,3,1,5,6,2,8,4]=>[[1,4,5,7],[2,6,8],[3]]=>12
[8,4,1,5,6,2,3,7]=>[[1,4,5,8],[2,6,7],[3]]=>11
[8,4,1,5,7,2,3,6]=>[[1,4,5,8],[2,6,7],[3]]=>11
[8,4,1,7,6,2,3,5]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[7,8,1,5,6,2,3,4]=>[[1,2,5,8],[3,4],[6,7]]=>11
[7,4,1,5,6,2,8,3]=>[[1,4,5,7],[2,6,8],[3]]=>12
[4,3,1,5,6,8,2,7]=>[[1,4,5,6],[2,7,8],[3]]=>10
[4,3,1,5,8,7,2,6]=>[[1,4,5],[2,6,8],[3,7]]=>13
[4,3,1,8,6,7,2,5]=>[[1,4,6],[2,5,8],[3,7]]=>16
[8,3,1,5,6,7,2,4]=>[[1,4,5,6],[2,7,8],[3]]=>10
[8,4,1,5,6,7,2,3]=>[[1,4,5,6],[2,7,8],[3]]=>10
[4,3,1,5,6,7,8,2]=>[[1,4,5,6,7],[2,8],[3]]=>9
[2,3,8,1,4,7,5,6]=>[[1,2,3,6,8],[4,5],[7]]=>8
[2,3,8,1,6,4,5,7]=>[[1,2,3,7,8],[4,5],[6]]=>6
[2,3,8,1,7,4,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>6
[2,3,7,1,6,4,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>7
[2,3,5,1,8,7,4,6]=>[[1,2,3,5],[4,6,8],[7]]=>10
[2,3,8,1,6,7,4,5]=>[[1,2,3,6],[4,5,8],[7]]=>9
[2,8,4,1,3,5,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>11
[2,7,4,1,3,5,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>12
[2,6,4,1,3,8,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>13
[2,8,4,1,3,7,5,6]=>[[1,2,6,8],[3,5,7],[4]]=>13
[2,6,4,1,3,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>12
[2,8,5,1,3,4,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>11
[2,7,5,1,3,4,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>12
[2,8,7,1,3,4,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>11
[2,6,5,1,3,8,4,7]=>[[1,2,6,8],[3,5,7],[4]]=>13
[2,8,5,1,3,7,4,6]=>[[1,2,6,8],[3,5,7],[4]]=>13
[2,6,8,1,3,7,4,5]=>[[1,2,3,8],[4,5,6],[7]]=>6
[2,6,5,1,3,7,8,4]=>[[1,2,6,7],[3,5,8],[4]]=>12
[2,5,4,1,8,3,6,7]=>[[1,2,5,8],[3,6,7],[4]]=>10
[2,5,4,1,7,3,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>11
[2,8,4,1,6,3,5,7]=>[[1,2,5,8],[3,6,7],[4]]=>10
[2,8,4,1,7,3,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>10
[2,7,4,1,6,3,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>11
[2,8,5,1,6,3,4,7]=>[[1,2,5,8],[3,6,7],[4]]=>10
[2,8,5,1,7,3,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>10
[2,7,8,1,6,3,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>8
[2,7,5,1,6,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>11
[2,5,4,1,6,8,3,7]=>[[1,2,5,6],[3,7,8],[4]]=>9
[2,5,4,1,8,7,3,6]=>[[1,2,5],[3,6,8],[4,7]]=>12
[2,8,4,1,6,7,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>9
[2,8,5,1,6,7,3,4]=>[[1,2,5,6],[3,7,8],[4]]=>9
[2,5,4,1,6,7,8,3]=>[[1,2,5,6,7],[3,8],[4]]=>8
[7,3,4,1,2,5,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>18
[6,3,4,1,2,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>19
[8,3,4,1,2,7,5,6]=>[[1,3,6,8],[2,5,7],[4]]=>19
[6,3,4,1,2,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>18
[7,3,5,1,2,4,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>18
[6,3,7,1,2,4,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>18
[6,3,5,1,2,8,4,7]=>[[1,3,6,8],[2,5,7],[4]]=>19
[8,3,5,1,2,7,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>19
[6,3,8,1,2,7,4,5]=>[[1,3,6,8],[2,5],[4,7]]=>20
[6,3,5,1,2,7,8,4]=>[[1,3,6,7],[2,5,8],[4]]=>18
[7,5,4,1,2,3,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[6,8,4,1,2,3,5,7]=>[[1,2,6,7,8],[3,5],[4]]=>11
[6,7,4,1,2,3,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>12
[6,8,5,1,2,3,4,7]=>[[1,2,6,7,8],[3,5],[4]]=>11
[6,7,5,1,2,3,8,4]=>[[1,2,6,7],[3,5,8],[4]]=>12
[6,5,4,1,2,8,3,7]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[8,5,4,1,2,7,3,6]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[6,8,4,1,2,7,3,5]=>[[1,2,6,8],[3,5],[4,7]]=>14
[6,8,5,1,2,7,3,4]=>[[1,2,6,8],[3,5],[4,7]]=>14
[6,5,4,1,2,7,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[5,3,4,1,8,2,6,7]=>[[1,3,5,8],[2,6,7],[4]]=>16
[5,3,4,1,7,2,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>17
[8,3,4,1,6,2,5,7]=>[[1,3,5,8],[2,6,7],[4]]=>16
[8,3,4,1,7,2,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>16
[7,3,4,1,6,2,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>17
[8,3,5,1,6,2,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>16
[8,3,5,1,7,2,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>16
[7,3,8,1,6,2,4,5]=>[[1,3,7,8],[2,5],[4,6]]=>18
[7,3,5,1,6,2,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>17
[8,5,4,1,6,2,3,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[8,5,4,1,7,2,3,6]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[7,8,4,1,6,2,3,5]=>[[1,2,7,8],[3,5],[4,6]]=>12
[7,8,5,1,6,2,3,4]=>[[1,2,7,8],[3,5],[4,6]]=>12
[7,5,4,1,6,2,8,3]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[5,3,4,1,6,8,2,7]=>[[1,3,5,6],[2,7,8],[4]]=>15
[5,3,4,1,8,7,2,6]=>[[1,3,5],[2,6,8],[4,7]]=>18
[8,3,4,1,6,7,2,5]=>[[1,3,5,6],[2,7,8],[4]]=>15
[8,3,5,1,6,7,2,4]=>[[1,3,5,6],[2,7,8],[4]]=>15
[8,5,4,1,6,7,2,3]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[5,3,4,1,6,7,8,2]=>[[1,3,5,6,7],[2,8],[4]]=>14
[2,3,4,8,1,7,5,6]=>[[1,2,3,4,8],[5,6],[7]]=>5
[2,3,8,5,1,4,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>9
[2,3,7,5,1,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>10
[2,3,8,6,1,4,5,7]=>[[1,2,3,7,8],[4,6],[5]]=>9
[2,3,7,6,1,4,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>10
[2,3,6,5,1,8,4,7]=>[[1,2,3,6],[4,7,8],[5]]=>8
[2,3,8,5,1,7,4,6]=>[[1,2,3,6],[4,7,8],[5]]=>8
[2,3,8,6,1,7,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>8
[2,3,6,5,1,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>7
[2,8,4,5,1,3,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>14
[2,7,4,5,1,3,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>15
[2,8,4,6,1,3,5,7]=>[[1,2,4,8],[3,6,7],[5]]=>14
[2,7,4,8,1,3,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>14
[2,7,4,6,1,3,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>15
[2,8,6,5,1,3,4,7]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[2,7,8,5,1,3,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>9
[2,7,8,6,1,3,4,5]=>[[1,2,3,8],[4,6,7],[5]]=>9
[2,7,6,5,1,3,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[2,6,4,5,1,8,3,7]=>[[1,2,4,6],[3,7,8],[5]]=>13
[2,8,4,5,1,7,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>13
[2,8,4,6,1,7,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>13
[2,8,6,5,1,7,3,4]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[2,6,4,5,1,7,8,3]=>[[1,2,4,6,7],[3,8],[5]]=>12
[7,3,4,5,1,2,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>16
[7,3,4,6,1,2,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>16
[8,3,6,5,1,2,4,7]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[7,3,8,5,1,2,4,6]=>[[1,3,7,8],[2,4],[5,6]]=>14
[7,3,8,6,1,2,4,5]=>[[1,3,7,8],[2,4],[5,6]]=>14
[7,3,6,5,1,2,8,4]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[7,6,4,5,1,2,8,3]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[6,3,4,5,1,8,2,7]=>[[1,3,4,6],[2,7,8],[5]]=>14
[8,3,4,5,1,7,2,6]=>[[1,3,4,6],[2,7,8],[5]]=>14
[8,3,4,6,1,7,2,5]=>[[1,3,4,6],[2,7,8],[5]]=>14
[8,3,6,5,1,7,2,4]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[8,6,4,5,1,7,2,3]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[6,3,4,5,1,7,8,2]=>[[1,3,4,6,7],[2,8],[5]]=>13
[2,3,4,8,6,1,5,7]=>[[1,2,3,4,8],[5,7],[6]]=>7
[2,3,4,8,7,1,5,6]=>[[1,2,3,4,8],[5,7],[6]]=>7
[2,3,4,7,6,1,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>6
[2,3,8,5,6,1,4,7]=>[[1,2,3,5,8],[4,7],[6]]=>11
[2,3,8,5,7,1,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>11
[2,3,8,7,6,1,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[2,3,7,5,6,1,8,4]=>[[1,2,3,5,7],[4,8],[6]]=>10
[2,8,4,5,6,1,3,7]=>[[1,2,4,5,8],[3,7],[6]]=>12
[2,8,4,5,7,1,3,6]=>[[1,2,4,5],[3,7,8],[6]]=>12
[2,8,4,7,6,1,3,5]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[2,8,7,5,6,1,3,4]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[2,7,4,5,6,1,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>11
[8,3,4,5,7,1,2,6]=>[[1,3,4,5],[2,7,8],[6]]=>13
[8,3,4,7,6,1,2,5]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[8,3,7,5,6,1,2,4]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[7,3,4,5,6,1,8,2]=>[[1,3,4,5,7],[2,8],[6]]=>12
[2,3,4,5,8,7,1,6]=>[[1,2,3,4,5],[6,8],[7]]=>5
[2,3,4,8,6,7,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>8
[2,3,8,5,6,7,1,4]=>[[1,2,3,5,6],[4,8],[7]]=>9
[2,8,4,5,6,7,1,3]=>[[1,2,4,5,6],[3,8],[7]]=>10
[3,5,2,6,1,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>15
[3,5,2,6,4,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>12
[3,5,2,7,4,8,1,6]=>[[1,2,4,6],[3,5,8],[7]]=>14
[3,5,2,7,4,8,6,1]=>[[1,2,4,6],[3,5,7],[8]]=>13
[4,5,7,2,3,8,6,1]=>[[1,2,3,6],[4,5,7],[8]]=>8
[4,5,7,2,3,8,1,6]=>[[1,2,3,6],[4,5,8],[7]]=>9
[4,5,6,2,3,1,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>7
[4,5,6,2,1,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>10
[3,5,1,6,4,2,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>12
[4,5,6,1,3,2,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>7
[4,5,6,3,1,2,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>10
[4,5,7,3,2,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[4,5,7,3,2,8,6,1]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[4,6,7,3,8,2,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[4,6,7,3,8,2,1,5]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[4,6,7,3,8,1,2,5]=>[[1,2,3,5],[4,7,8],[6]]=>11
[4,5,7,3,1,8,2,6]=>[[1,2,3,6],[4,7,8],[5]]=>8
[4,5,7,1,3,8,2,6]=>[[1,2,3,6],[4,5,8],[7]]=>9
[3,5,1,7,4,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>14
[2,1,5,7,4,8,3,6]=>[[1,3,4,6],[2,5,8],[7]]=>15
[2,1,5,7,4,8,6,3]=>[[1,3,4,6],[2,5,7],[8]]=>14
[3,5,1,7,4,8,6,2]=>[[1,2,4,6],[3,5,7],[8]]=>13
[4,5,7,1,3,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>8
[4,5,7,3,1,8,6,2]=>[[1,2,3,6],[4,7],[5,8]]=>9
[4,6,7,3,8,1,5,2]=>[[1,2,3,5],[4,7],[6,8]]=>12
[4,6,7,3,8,5,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>10
[4,6,7,3,8,5,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[5,6,7,8,3,1,4,2]=>[[1,2,3,4],[5,7],[6,8]]=>8
[5,6,7,8,1,3,4,2]=>[[1,2,3,4],[5,6,7],[8]]=>5
[4,6,7,1,8,3,5,2]=>[[1,2,3,5],[4,6,7],[8]]=>9
[3,6,1,7,8,4,5,2]=>[[1,2,4,5],[3,6,7],[8]]=>10
[2,1,6,7,8,4,5,3]=>[[1,3,4,5],[2,6,7],[8]]=>11
[2,1,6,7,8,4,3,5]=>[[1,3,4,5],[2,6,8],[7]]=>12
[3,6,1,7,8,4,2,5]=>[[1,2,4,5],[3,6,8],[7]]=>11
[4,6,7,1,8,3,2,5]=>[[1,2,3,5],[4,6,8],[7]]=>10
[5,6,7,8,1,3,2,4]=>[[1,2,3,4],[5,6,8],[7]]=>6
[4,5,7,2,1,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>8
[4,6,7,2,8,1,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>11
[4,6,7,2,8,3,1,5]=>[[1,2,3,5],[4,6,8],[7]]=>10
[4,6,7,2,8,3,5,1]=>[[1,2,3,5],[4,6,7],[8]]=>9
[3,6,2,7,8,4,5,1]=>[[1,2,4,5],[3,6,7],[8]]=>10
[3,6,2,7,8,4,1,5]=>[[1,2,4,5],[3,6,8],[7]]=>11
[3,6,2,7,8,1,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>12
[3,5,2,7,1,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>13
[3,4,2,1,7,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>9
[3,4,1,2,7,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>9
[3,5,2,7,1,8,6,4]=>[[1,2,4,6],[3,7],[5,8]]=>14
[3,6,2,7,8,1,5,4]=>[[1,2,4,5],[3,7],[6,8]]=>13
[3,6,2,7,8,5,1,4]=>[[1,2,4,5],[3,6],[7,8]]=>11
[3,6,2,7,8,5,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[4,6,7,2,8,5,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[4,6,7,2,8,5,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>10
[4,6,7,2,8,1,5,3]=>[[1,2,3,5],[4,7],[6,8]]=>12
[4,5,7,2,1,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>9
[4,5,7,1,2,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>8
[3,5,1,7,2,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>13
[2,1,5,7,3,8,6,4]=>[[1,3,4,6],[2,5,7],[8]]=>14
[2,1,6,7,8,3,5,4]=>[[1,3,4,5],[2,6,7],[8]]=>11
[3,6,1,7,8,2,5,4]=>[[1,2,4,5],[3,6,7],[8]]=>10
[4,6,7,1,8,2,5,3]=>[[1,2,3,5],[4,6,7],[8]]=>9
[5,6,7,8,1,2,4,3]=>[[1,2,3,4],[5,6,7],[8]]=>5
[5,6,7,8,2,1,4,3]=>[[1,2,3,4],[5,7],[6,8]]=>8
[5,6,7,8,2,4,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>6
[5,6,7,8,2,4,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[5,6,7,8,1,4,2,3]=>[[1,2,3,4],[5,6,8],[7]]=>6
[4,6,7,1,8,5,2,3]=>[[1,2,3,5],[4,6,8],[7]]=>10
[3,6,1,7,8,5,2,4]=>[[1,2,4,5],[3,6,8],[7]]=>11
[2,1,6,7,8,5,3,4]=>[[1,3,4,5],[2,6,8],[7]]=>12
[3,6,1,7,8,5,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[4,6,7,1,8,5,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[5,6,7,8,1,4,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[5,6,7,8,4,1,3,2]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[6,5,8,7,3,4,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>18
[3,6,7,4,5,8,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>9
[2,6,7,4,5,1,8,3]=>[[1,2,3,7],[4,5],[6,8]]=>8
[1,6,7,4,5,2,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>7
[1,5,4,7,6,2,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>12
[2,5,4,7,6,1,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>13
[3,5,4,7,6,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>14
[4,5,3,7,8,6,1,2]=>[[1,2,4,5],[3,6],[7,8]]=>11
[5,4,3,8,7,6,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>17
[6,4,8,3,7,5,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>22
[6,3,8,4,5,7,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>16
[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]]=>12
[3,2,5,6,1,8,7,4]=>[[1,3,4,6],[2,7],[5,8]]=>15
[4,2,5,6,8,1,7,3]=>[[1,3,4,5],[2,7],[6,8]]=>14
[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]]=>18
[7,8,2,4,5,1,6,3]=>[[1,2,5,7],[3,4],[6,8]]=>12
[7,8,1,4,5,2,3,6]=>[[1,2,5,8],[3,4],[6,7]]=>11
[6,1,8,4,5,2,3,7]=>[[1,3,5,8],[2,4],[6,7]]=>17
[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]]=>17
[5,1,3,8,2,6,4,7]=>[[1,3,4,8],[2,6],[5,7]]=>16
[6,1,8,3,2,5,4,7]=>[[1,3,6,8],[2,4],[5,7]]=>16
[7,8,1,3,2,5,4,6]=>[[1,2,6,8],[3,4],[5,7]]=>10
[7,8,2,3,1,5,6,4]=>[[1,2,6,7],[3,4],[5,8]]=>9
[6,2,8,3,1,5,7,4]=>[[1,3,6,7],[2,4],[5,8]]=>15
[5,2,3,8,1,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>17
[6,3,8,2,1,7,5,4]=>[[1,3],[2,6],[4,7],[5,8]]=>21
[7,8,3,2,1,6,5,4]=>[[1,2],[3,6],[4,7],[5,8]]=>15
[7,8,4,2,6,1,5,3]=>[[1,2],[3,5],[4,7],[6,8]]=>18
[5,4,2,8,7,1,6,3]=>[[1,4],[2,5],[3,7],[6,8]]=>19
[4,5,2,7,8,1,6,3]=>[[1,2,4,5],[3,7],[6,8]]=>13
[2,5,3,7,1,6,8,4]=>[[1,2,4,7],[3,6],[5,8]]=>16
[1,5,3,7,2,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>15
[1,6,7,3,2,5,4,8]=>[[1,2,3,8],[4,6],[5,7]]=>10
[2,6,7,3,1,5,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>11
[3,6,7,2,1,8,5,4]=>[[1,2,3,6],[4,7],[5,8]]=>9
[7,8,5,6,2,1,4,3]=>[[1,2],[3,4],[5,7],[6,8]]=>14
[6,5,8,7,1,2,3,4]=>[[1,3,7,8],[2,4],[5,6]]=>14
[5,4,1,8,7,2,3,6]=>[[1,4,7,8],[2,5],[3,6]]=>13
[6,4,8,1,7,2,3,5]=>[[1,3,7,8],[2,5],[4,6]]=>18
[7,8,3,1,2,6,4,5]=>[[1,2,6,8],[3,5],[4,7]]=>14
[5,3,1,8,2,7,4,6]=>[[1,4,6,8],[2,5],[3,7]]=>15
[4,3,1,2,8,7,5,6]=>[[1,4,5,8],[2,6],[3,7]]=>12
[4,2,1,3,8,5,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>13
[5,2,1,8,3,4,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>14
[6,2,8,1,3,4,7,5]=>[[1,3,6,7],[2,5],[4,8]]=>19
[7,8,2,1,3,4,6,5]=>[[1,2,6,7],[3,5],[4,8]]=>13
[4,3,1,2,6,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>12
[5,3,1,6,2,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>13
[6,3,1,5,2,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>13
[7,3,1,5,2,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>14
[8,4,5,1,2,7,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>19
[7,4,5,1,2,8,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>19
[6,4,5,1,2,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>18
[5,4,6,1,2,3,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>18
[2,1,6,5,3,4,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>14
[3,6,1,5,2,4,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>8
[4,6,5,1,2,3,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>12
[5,6,4,1,2,3,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>12
[6,5,4,1,2,3,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[7,5,4,1,2,8,3,6]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[8,6,4,1,7,2,3,5]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[7,6,4,1,8,2,3,5]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[6,7,4,1,8,2,3,5]=>[[1,2,5,8],[3,6,7],[4]]=>10
[5,7,4,1,2,8,3,6]=>[[1,2,6,8],[3,5,7],[4]]=>13
[4,7,5,1,2,8,3,6]=>[[1,2,6,8],[3,5,7],[4]]=>13
[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]]=>15
[2,1,8,5,3,7,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>15
[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]]=>13
[5,8,4,1,2,7,3,6]=>[[1,2,6,8],[3,5],[4,7]]=>14
[6,8,4,1,7,2,3,5]=>[[1,2,7,8],[3,5],[4,6]]=>12
[8,7,4,1,6,2,3,5]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[5,8,6,7,1,2,3,4]=>[[1,2,4,8],[3,6,7],[5]]=>14
[4,8,6,1,7,2,3,5]=>[[1,2,5,8],[3,6,7],[4]]=>10
[3,8,1,6,7,2,4,5]=>[[1,2,5,8],[3,4,7],[6]]=>12
[2,1,8,6,7,3,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>18
[2,1,7,6,8,3,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>18
[3,7,1,6,8,2,4,5]=>[[1,2,5,8],[3,4,7],[6]]=>12
[4,7,6,1,8,2,3,5]=>[[1,2,5,8],[3,6,7],[4]]=>10
[5,7,6,8,1,2,3,4]=>[[1,2,4,8],[3,6,7],[5]]=>14
[5,4,7,1,2,8,3,6]=>[[1,3,6,8],[2,5,7],[4]]=>19
[6,4,7,1,8,2,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>16
[7,4,6,1,8,2,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>16
[8,4,6,1,7,2,3,5]=>[[1,3,5,8],[2,6,7],[4]]=>16
[8,3,1,6,7,2,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>11
[7,3,1,6,8,2,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>11
[6,3,1,7,8,2,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>11
[5,3,1,7,2,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>14
[4,3,1,2,7,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>10
[2,1,4,3,8,7,5,6]=>[[1,3,5,8],[2,4,6],[7]]=>16
[3,4,1,2,8,7,5,6]=>[[1,2,5,8],[3,4,6],[7]]=>10
[6,3,1,8,7,2,4,5]=>[[1,4,7,8],[2,5],[3,6]]=>13
[7,3,1,8,6,2,4,5]=>[[1,4,7,8],[2,5],[3,6]]=>13
[8,4,7,1,6,2,3,5]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[7,4,8,1,6,2,3,5]=>[[1,3,7,8],[2,5],[4,6]]=>18
[5,4,8,1,2,7,3,6]=>[[1,3,6,8],[2,5],[4,7]]=>20
[4,5,8,1,2,7,3,6]=>[[1,2,3,8],[4,5,6],[7]]=>6
[3,5,1,8,2,7,4,6]=>[[1,2,4,8],[3,5,6],[7]]=>11
[2,1,5,8,3,7,4,6]=>[[1,3,4,8],[2,5,6],[7]]=>12
[2,1,6,8,7,3,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>14
[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]]=>8
[5,6,8,7,1,2,3,4]=>[[1,2,3,8],[4,6,7],[5]]=>9
[7,5,8,6,1,2,3,4]=>[[1,3,7,8],[2,4],[5,6]]=>14
[8,5,7,6,1,2,3,4]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[5,7,8,6,1,2,3,4]=>[[1,2,3,8],[4,6,7],[5]]=>9
[4,7,8,1,6,2,3,5]=>[[1,2,3,8],[4,5,7],[6]]=>8
[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]]=>14
[2,1,8,7,6,3,4,5]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[3,8,1,7,6,2,4,5]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[4,8,7,1,6,2,3,5]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[5,8,7,6,1,2,3,4]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[6,8,7,5,1,2,3,4]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[6,4,7,3,8,5,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[6,4,7,3,5,8,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[6,4,7,2,5,1,8,3]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[5,4,2,7,6,1,3,8]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[5,4,2,7,6,1,8,3]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[5,4,3,7,6,8,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[5,4,3,7,8,6,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[6,4,8,3,5,7,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[5,4,3,8,6,7,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[5,4,3,6,8,7,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[5,4,2,6,7,1,8,3]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[5,4,2,6,7,1,3,8]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[5,3,2,6,1,7,4,8]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[5,3,2,6,1,7,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[5,3,2,6,1,8,7,4]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[5,4,2,6,8,1,7,3]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[5,4,2,8,6,1,7,3]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[6,4,8,2,5,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[7,8,4,2,5,1,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[7,8,4,2,5,1,3,6]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[5,4,2,8,6,1,3,7]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[5,3,2,6,1,8,4,7]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[4,3,2,1,6,8,5,7]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[4,3,2,1,8,6,5,7]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[5,3,2,8,1,6,4,7]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[6,3,8,2,1,5,4,7]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[7,8,3,2,1,5,4,6]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[7,8,3,2,1,5,6,4]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[6,3,8,2,1,5,7,4]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[5,3,2,8,1,6,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[5,4,2,7,8,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[5,3,2,7,1,8,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[5,3,2,7,1,6,8,4]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[5,3,2,7,1,6,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[6,3,7,2,1,5,4,8]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[6,3,7,2,1,5,8,4]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[6,3,7,2,1,8,5,4]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[6,4,7,2,8,1,5,3]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[6,5,7,8,2,1,4,3]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[6,5,8,7,2,1,3,4]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[6,3,7,2,1,8,4,5]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[6,3,7,2,1,4,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[6,3,7,2,1,4,5,8]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[5,3,2,7,1,4,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[5,4,2,8,7,1,3,6]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[7,8,4,2,6,1,3,5]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[7,8,3,2,1,6,4,5]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[6,3,8,2,1,7,4,5]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[5,3,2,8,1,7,4,6]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[4,3,2,1,8,7,5,6]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[4,3,2,1,7,5,8,6]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[4,3,2,1,7,5,6,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[4,3,2,1,8,5,7,6]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[5,3,2,8,1,4,7,6]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[6,3,8,2,1,4,7,5]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[7,8,3,2,1,4,6,5]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[6,3,8,2,1,4,5,7]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[4,3,2,1,8,5,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[4,3,2,1,5,8,6,7]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[7,8,5,6,1,2,4,3]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[7,8,4,1,6,2,5,3]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[7,8,1,4,6,2,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[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]]=>9
[1,6,8,3,2,7,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[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]]=>12
[7,8,3,1,2,6,5,4]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[7,8,3,4,6,5,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[7,8,2,4,6,1,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[7,8,2,3,1,6,5,4]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[7,8,2,1,3,6,5,4]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[7,8,1,2,3,6,5,4]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[6,1,8,2,3,7,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[1,6,8,2,3,7,5,4]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[1,5,2,8,3,7,6,4]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[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]]=>17
[6,2,8,1,3,7,5,4]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[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]]=>20
[3,6,8,4,7,5,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[2,6,8,4,7,1,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[2,6,8,3,1,7,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[2,6,8,1,3,7,5,4]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[2,5,1,8,3,7,6,4]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[1,2,5,8,3,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[2,4,1,3,8,7,6,5]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[2,5,3,8,1,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[2,5,4,8,7,1,6,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[3,5,4,8,7,6,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[5,3,4,8,7,6,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[5,2,4,8,7,1,6,3]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[5,2,3,8,1,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[4,2,1,3,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[4,1,2,3,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[1,4,2,3,8,7,6,5]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[4,1,3,2,8,7,6,5]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[4,3,1,2,8,7,6,5]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[6,3,8,1,2,7,5,4]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[5,3,1,8,2,7,6,4]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[5,1,3,8,2,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[1,5,3,8,2,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[1,5,4,8,7,2,6,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[5,1,4,8,7,2,6,3]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[5,4,1,8,7,2,6,3]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[6,4,8,1,7,2,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[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]]=>13
[5,6,8,7,2,1,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[4,5,1,8,7,2,6,3]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[4,1,5,8,7,2,6,3]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[1,4,5,8,7,2,6,3]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[1,3,5,8,2,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[3,1,5,8,2,7,6,4]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[3,6,8,1,2,7,5,4]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[3,6,8,2,1,7,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[4,6,8,2,7,1,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[4,6,8,3,7,5,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[4,5,3,8,7,6,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[4,5,2,8,7,1,6,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[3,5,2,8,1,7,6,4]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[3,1,4,2,8,7,6,5]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[3,1,2,4,8,7,6,5]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[3,2,5,8,1,7,6,4]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[4,2,5,8,7,1,6,3]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[4,3,5,8,7,6,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[3,4,5,8,7,6,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[2,4,5,8,7,1,6,3]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[2,3,5,8,1,7,6,4]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[4,1,3,2,6,5,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>17
[5,1,3,2,6,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>17
[6,1,3,2,5,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>17
[7,1,3,2,5,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>17
[8,1,3,2,5,4,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>17
[8,1,4,2,5,3,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>17
[7,1,4,2,5,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>17
[6,1,4,2,5,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>17
[5,1,4,2,6,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>17
[2,1,6,3,5,4,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>17
[3,1,6,2,5,4,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>17
[4,1,6,2,5,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>17
[6,2,5,1,4,3,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[5,2,6,1,4,3,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>19
[5,2,7,1,4,3,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>19
[5,2,8,1,4,3,7,6]=>[[1,3,7],[2,5,8],[4,6]]=>19
[6,2,8,1,4,3,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>19
[6,2,7,1,4,3,8,5]=>[[1,3,7],[2,5,8],[4,6]]=>19
[7,2,6,1,4,3,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[7,2,5,1,4,3,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[4,1,7,2,5,3,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>17
[3,1,7,2,5,4,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>17
[2,1,7,3,5,4,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>17
[2,1,8,3,5,4,7,6]=>[[1,3,5,7],[2,4,8],[6]]=>17
[3,1,8,2,5,4,7,6]=>[[1,3,5,7],[2,4,8],[6]]=>17
[4,1,8,2,5,3,7,6]=>[[1,3,5,7],[2,4,8],[6]]=>17
[8,2,5,1,4,3,7,6]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[8,2,6,1,4,3,7,5]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[7,1,4,3,8,2,6,5]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[8,1,4,3,7,2,6,5]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[8,1,5,3,7,2,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[7,1,5,3,8,2,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[8,2,6,1,5,3,7,4]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[5,1,8,2,6,3,7,4]=>[[1,3,5,7],[2,4,8],[6]]=>17
[4,1,8,2,6,3,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>17
[3,1,8,2,6,4,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>17
[2,1,8,3,6,4,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>17
[2,1,7,3,6,4,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>17
[4,1,7,2,6,3,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>17
[5,1,7,2,6,3,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>17
[7,2,6,1,5,3,8,4]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[6,2,7,1,5,3,8,4]=>[[1,3,7],[2,5,8],[4,6]]=>19
[6,2,8,1,5,3,7,4]=>[[1,3,7],[2,5,8],[4,6]]=>19
[8,1,5,2,6,3,7,4]=>[[1,3,5,7],[2,6,8],[4]]=>17
[6,1,5,2,7,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>17
[6,1,4,2,7,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>17
[8,1,4,2,6,3,7,5]=>[[1,3,5,7],[2,6,8],[4]]=>17
[8,1,3,2,6,4,7,5]=>[[1,3,5,7],[2,6,8],[4]]=>17
[7,1,3,2,6,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>17
[6,1,3,2,7,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>17
[5,1,3,2,7,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>17
[4,1,3,2,7,5,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>17
[2,1,4,3,8,5,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>17
[3,1,4,2,8,5,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>17
[4,1,3,2,8,5,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>18
[5,1,3,2,8,4,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>18
[6,1,3,2,8,4,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>18
[8,4,7,1,3,2,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[7,4,8,1,3,2,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[7,3,8,1,4,2,6,5]=>[[1,3,7],[2,5,8],[4,6]]=>19
[8,3,7,1,4,2,6,5]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[6,1,4,2,8,3,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>18
[5,1,4,2,8,3,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>18
[4,1,5,2,8,3,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>17
[3,1,5,2,8,4,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>17
[2,1,5,3,8,4,7,6]=>[[1,3,5,7],[2,4,6],[8]]=>17
[2,1,6,3,8,4,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>17
[3,1,6,2,8,4,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>17
[4,1,6,2,8,3,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>17
[5,1,6,2,8,3,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>17
[6,1,5,2,8,3,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>18
[8,3,7,1,5,2,6,4]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[7,3,8,1,5,2,6,4]=>[[1,3,7],[2,5,8],[4,6]]=>19
[6,2,7,3,8,1,5,4]=>[[1,3,5],[2,4,7],[6,8]]=>19
[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]]=>25
[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]]=>20
[2,1,8,4,7,3,6,5]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[2,1,7,4,8,3,6,5]=>[[1,3,5],[2,4,7],[6,8]]=>19
[3,1,7,4,8,2,6,5]=>[[1,3,5],[2,4,7],[6,8]]=>19
[4,1,7,3,8,2,6,5]=>[[1,3,5],[2,4,7],[6,8]]=>19
[5,1,7,3,8,2,6,4]=>[[1,3,5],[2,4,7],[6,8]]=>19
[7,3,8,2,6,1,5,4]=>[[1,3],[2,5],[4,7],[6,8]]=>24
[8,2,6,3,7,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[7,2,6,3,8,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[3,4,2,6,8,1,5,7]=>[[1,2,4,5],[3,7,8],[6]]=>12
[5,3,6,2,8,1,4,7]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[5,3,6,2,4,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[5,7,3,8,2,4,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[5,7,3,8,2,4,6,1]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[7,4,2,5,8,3,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[7,4,2,5,8,3,1,6]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[4,5,2,6,3,8,1,7]=>[[1,2,4,6],[3,5,8],[7]]=>14
[4,5,2,1,6,8,3,7]=>[[1,2,5,6],[3,7,8],[4]]=>9
[5,3,1,6,8,2,4,7]=>[[1,4,5,8],[2,6,7],[3]]=>11
[5,6,2,8,1,3,4,7]=>[[1,2,4,8],[3,6,7],[5]]=>14
[3,5,6,1,4,8,2,7]=>[[1,2,3,6],[4,5,8],[7]]=>9
[4,1,5,6,3,8,2,7]=>[[1,3,4,6],[2,5,8],[7]]=>15
[4,5,1,6,3,8,2,7]=>[[1,2,4,6],[3,5,8],[7]]=>14
[4,5,6,3,2,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[7,4,5,3,8,2,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[7,4,5,3,8,2,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[6,7,4,8,3,2,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[6,7,4,8,3,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[6,7,4,1,8,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[7,4,5,3,1,8,2,6]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[4,7,1,5,8,3,2,6]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[5,3,7,8,1,4,2,6]=>[[1,3,4],[2,6,8],[5,7]]=>17
[7,5,8,2,4,6,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[7,3,5,8,1,4,6,2]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[4,5,1,7,8,3,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>10
[7,4,1,5,8,3,6,2]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[6,7,4,3,8,1,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[6,7,4,8,3,1,5,2]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[6,7,4,8,3,5,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[5,6,7,3,8,4,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[5,6,7,3,1,8,4,2]=>[[1,2,3,6],[4,7],[5,8]]=>9
[5,6,1,7,3,8,4,2]=>[[1,2,4,6],[3,5,7],[8]]=>13
[5,1,6,7,3,8,4,2]=>[[1,3,4,6],[2,5,7],[8]]=>14
[6,4,7,1,8,3,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[6,7,8,3,1,4,5,2]=>[[1,2,3],[4,6,7],[5,8]]=>10
[6,7,2,8,4,5,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>12
[6,7,2,8,4,1,3,5]=>[[1,2,4],[3,5,8],[6,7]]=>13
[6,1,7,4,8,3,2,5]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[5,1,6,7,3,2,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>13
[5,6,1,7,3,2,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>12
[5,6,7,3,2,1,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[5,6,7,3,2,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[5,6,2,7,3,8,4,1]=>[[1,2,4,6],[3,5,7],[8]]=>13
[5,6,2,7,3,1,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>12
[5,6,2,1,7,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>11
[6,1,7,4,2,8,3,5]=>[[1,3,6,8],[2,4,7],[5]]=>15
[6,7,2,1,8,3,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>10
[7,5,8,2,1,3,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[5,7,3,1,8,2,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>10
[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]]=>16
[6,7,4,2,1,8,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[6,7,4,2,8,3,1,5]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[6,7,4,2,8,3,5,1]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[3,6,7,2,8,4,5,1]=>[[1,2,3,5],[4,6,7],[8]]=>9
[3,6,7,2,8,4,1,5]=>[[1,2,3,5],[4,6,8],[7]]=>10
[3,6,7,2,1,8,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>8
[5,7,3,8,2,1,4,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[3,4,7,8,2,1,5,6]=>[[1,2,3,4],[5,7,8],[6]]=>7
[3,7,8,1,4,6,2,5]=>[[1,2,3],[4,5,6],[7,8]]=>7
[3,4,7,8,2,6,1,5]=>[[1,2,3,4],[5,6],[7,8]]=>6
[5,7,3,8,2,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[3,6,7,2,8,5,1,4]=>[[1,2,3,5],[4,6],[7,8]]=>10
[3,6,7,8,5,2,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[3,6,7,8,5,2,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[6,4,7,8,2,5,3,1]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[6,4,7,8,2,1,5,3]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[4,1,5,7,8,2,6,3]=>[[1,3,4,5],[2,6,7],[8]]=>11
[5,3,7,8,1,6,2,4]=>[[1,3,4],[2,6,8],[5,7]]=>17
[6,7,2,8,5,1,3,4]=>[[1,2,4],[3,5,8],[6,7]]=>13
[6,4,1,7,8,2,5,3]=>[[1,4,5],[2,6,7],[3,8]]=>12
[5,1,6,2,7,8,4,3]=>[[1,3,5,6],[2,4,7],[8]]=>15
[5,6,2,1,7,8,4,3]=>[[1,2,5,6],[3,7],[4,8]]=>10
[5,6,2,7,1,8,4,3]=>[[1,2,4,6],[3,7],[5,8]]=>14
[5,6,2,7,8,4,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[5,6,7,2,8,4,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[5,6,7,2,1,8,4,3]=>[[1,2,3,6],[4,7],[5,8]]=>9
[5,6,1,7,2,8,4,3]=>[[1,2,4,6],[3,5,7],[8]]=>13
[5,1,6,7,2,8,4,3]=>[[1,3,4,6],[2,5,7],[8]]=>14
[6,4,7,1,8,2,5,3]=>[[1,3,5],[2,6,7],[4,8]]=>17
[3,6,7,1,8,5,2,4]=>[[1,2,3,5],[4,6,8],[7]]=>10
[6,7,8,5,2,4,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[6,7,8,3,5,1,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[4,6,7,8,1,5,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[5,1,6,7,8,4,3,2]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[5,6,1,7,8,4,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[5,6,7,1,8,4,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[8,6,1,3,4,2,5,7]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[8,3,2,5,1,6,4,7]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[8,5,3,6,2,4,1,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[5,3,2,7,4,1,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[7,5,3,8,2,4,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[7,2,4,5,8,3,6,1]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[2,4,5,3,7,1,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>10
[8,2,4,5,6,3,1,7]=>[[1,3,4,5,8],[2],[6],[7]]=>13
[8,2,4,5,6,1,3,7]=>[[1,3,4,5,8],[2,7],[6]]=>13
[8,1,2,4,5,6,3,7]=>[[1,3,4,5,6,8],[2],[7]]=>10
[8,2,5,1,3,6,4,7]=>[[1,3,6,8],[2,5,7],[4]]=>19
[8,5,6,2,1,4,3,7]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[8,5,3,6,4,1,2,7]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[8,4,1,5,6,3,2,7]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[8,1,4,5,6,3,2,7]=>[[1,3,4,5,8],[2],[6],[7]]=>13
[4,5,3,7,2,1,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[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]]=>16
[4,3,6,7,2,8,1,5]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[1,4,3,6,7,2,8,5]=>[[1,2,4,5,7],[3,8],[6]]=>11
[4,5,3,7,1,8,2,6]=>[[1,2,4,6],[3,7,8],[5]]=>13
[4,1,5,3,7,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>17
[5,3,4,7,1,2,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>16
[7,5,8,2,1,4,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[7,5,3,8,4,1,6,2]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[7,4,5,8,3,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[4,3,6,7,8,1,5,2]=>[[1,3,4,5],[2,7],[6,8]]=>14
[1,6,4,7,8,3,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[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]]=>5
[3,1,5,6,7,8,4,2]=>[[1,3,4,5,6],[2,7],[8]]=>10
[4,6,1,7,8,3,5,2]=>[[1,2,4,5],[3,6,7],[8]]=>10
[3,6,7,1,4,8,5,2]=>[[1,2,3,6],[4,5,7],[8]]=>8
[6,2,4,1,7,8,5,3]=>[[1,3,5,6],[2,7],[4,8]]=>16
[2,6,7,1,4,8,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>9
[4,3,6,7,8,1,2,5]=>[[1,3,4,5],[2,7,8],[6]]=>13
[1,5,3,6,7,8,2,4]=>[[1,2,4,5,6],[3,8],[7]]=>10
[3,5,6,7,8,2,1,4]=>[[1,2,3,4,5],[6,8],[7]]=>5
[3,5,6,7,8,2,4,1]=>[[1,2,3,4,5],[6,7],[8]]=>4
[5,2,7,1,3,8,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>19
[5,3,1,7,8,2,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>11
[4,5,2,7,8,1,3,6]=>[[1,2,4,5],[3,7,8],[6]]=>12
[4,2,6,7,8,3,1,5]=>[[1,3,4,5],[2,6,8],[7]]=>12
[4,2,6,7,8,3,5,1]=>[[1,3,4,5],[2,6,7],[8]]=>11
[3,6,2,7,4,8,5,1]=>[[1,2,4,6],[3,5,7],[8]]=>13
[3,6,2,7,4,8,1,5]=>[[1,2,4,6],[3,5,8],[7]]=>14
[3,2,1,6,4,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>13
[3,7,4,2,1,5,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[1,7,3,4,2,5,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>12
[4,7,2,1,3,5,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>12
[7,8,4,2,1,3,6,5]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[7,8,1,3,4,2,6,5]=>[[1,2,5,7],[3,4],[6,8]]=>12
[7,8,3,4,2,1,6,5]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[6,3,2,7,1,8,5,4]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[3,6,2,7,1,8,5,4]=>[[1,2,4,6],[3,7],[5,8]]=>14
[6,7,3,8,2,5,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[6,4,7,8,5,2,3,1]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[2,6,4,7,8,1,5,3]=>[[1,2,4,5],[3,7],[6,8]]=>13
[4,6,2,7,8,1,5,3]=>[[1,2,4,5],[3,7],[6,8]]=>13
[7,4,5,8,6,2,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[7,4,1,5,8,6,2,3]=>[[1,4,5],[2,6,8],[3,7]]=>13
[7,5,3,8,6,1,2,4]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[7,5,8,2,1,6,3,4]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[6,2,7,1,3,8,5,4]=>[[1,3,6],[2,5,7],[4,8]]=>20
[6,3,1,7,8,2,5,4]=>[[1,4,5],[2,6,7],[3,8]]=>12
[4,6,1,7,8,5,2,3]=>[[1,2,4,5],[3,6,8],[7]]=>11
[5,1,2,6,7,8,4,3]=>[[1,3,4,5,6],[2,7],[8]]=>10
[5,2,6,7,8,4,1,3]=>[[1,3,4,5],[2,6],[7,8]]=>12
[5,2,6,7,8,4,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[2,5,6,7,8,4,1,3]=>[[1,2,3,4,5],[6,8],[7]]=>5
[1,5,2,6,7,8,4,3]=>[[1,2,4,5,6],[3,7],[8]]=>9
[1,6,4,7,8,5,2,3]=>[[1,2,4,5],[3,6],[7,8]]=>11
[2,6,7,1,3,8,5,4]=>[[1,2,3,6],[4,5,7],[8]]=>8
[6,7,8,2,1,5,4,3]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[6,7,3,8,5,1,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[6,4,7,8,5,3,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[4,5,2,3,7,6,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>10
[6,4,3,7,2,5,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[8,4,3,6,5,1,2,7]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[1,5,6,3,4,8,7,2]=>[[1,2,3,6],[4,5,7],[8]]=>8
[4,6,2,7,3,5,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>11
[3,2,6,7,4,5,1,8]=>[[1,3,4,8],[2,5,6],[7]]=>12
[4,7,2,6,5,3,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[5,7,6,2,4,3,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[1,7,5,4,8,3,6,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[8,7,5,4,1,3,2,6]=>[[1,6,8],[2],[3],[4],[5],[7]]=>19
[6,8,5,4,2,1,3,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[5,8,6,2,4,1,3,7]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[4,8,2,6,5,1,3,7]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[3,2,8,6,5,1,4,7]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[4,1,2,6,5,8,7,3]=>[[1,3,4,6],[2,5,7],[8]]=>14
[5,1,6,2,4,8,7,3]=>[[1,3,5,6],[2,4,7],[8]]=>15
[6,1,5,4,2,8,7,3]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[7,1,5,4,8,2,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[8,1,5,4,7,6,2,3]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[1,8,6,7,4,5,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[8,1,6,7,4,5,2,3]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[7,1,6,8,4,2,5,3]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[6,1,7,8,2,4,5,3]=>[[1,3,4,7],[2,5,6],[8]]=>13
[5,1,7,2,8,4,6,3]=>[[1,3,5,7],[2,4,6],[8]]=>17
[4,1,2,7,8,5,6,3]=>[[1,3,4,5],[2,6,7],[8]]=>11
[3,2,1,7,8,5,6,4]=>[[1,4,5],[2,6,7],[3,8]]=>12
[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]]=>10
[5,8,7,2,1,4,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[6,8,7,1,2,4,3,5]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[7,8,6,1,4,2,3,5]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[8,7,6,1,4,3,2,5]=>[[1,5,8],[2],[3],[4],[6],[7]]=>20
[1,7,6,8,4,3,5,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[1,6,7,8,3,4,5,2]=>[[1,2,3,4],[5,6,7],[8]]=>5
[8,6,7,1,3,4,2,5]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[7,6,8,1,3,2,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[5,7,8,2,1,3,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>9
[4,7,2,8,1,3,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>14
[3,2,6,8,4,1,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>14
[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]]=>8
[6,5,8,3,2,1,4,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[7,5,8,3,1,2,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[8,5,7,3,1,4,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[1,5,7,3,8,4,6,2]=>[[1,2,3,5],[4,6,7],[8]]=>9
[1,4,3,7,8,5,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>10
[8,4,3,7,1,5,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[6,4,3,8,2,1,5,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[4,5,2,3,8,1,6,7]=>[[1,2,5,8],[3,4,7],[6]]=>12
[3,2,5,4,8,1,6,7]=>[[1,3,5,8],[2,4,7],[6]]=>18
[4,5,2,3,1,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>10
[6,4,3,1,2,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[7,4,3,1,8,2,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[8,4,3,1,7,6,2,5]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[1,5,8,3,7,6,4,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[8,5,1,3,7,6,2,4]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[7,5,1,3,8,2,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[6,5,1,3,2,8,7,4]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[5,6,1,2,3,8,7,4]=>[[1,2,5,6],[3,4,7],[8]]=>9
[4,6,2,1,3,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>14
[3,2,6,1,4,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>20
[3,2,7,1,8,4,6,5]=>[[1,3,5],[2,6,7],[4,8]]=>17
[4,7,2,1,8,3,6,5]=>[[1,2,5],[3,6,7],[4,8]]=>11
[5,7,1,2,8,3,6,4]=>[[1,2,5,7],[3,4,6],[8]]=>11
[6,7,1,8,2,3,5,4]=>[[1,2,4,7],[3,5,6],[8]]=>12
[7,6,1,8,3,2,5,4]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[8,6,1,7,3,5,2,4]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[1,6,8,7,3,5,4,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[1,7,8,6,5,3,4,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[8,7,1,6,5,3,2,4]=>[[1,4,8],[2],[3],[5],[6],[7]]=>21
[7,8,1,6,5,2,3,4]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[6,8,1,7,2,5,3,4]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[5,8,1,2,7,6,3,4]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[4,8,2,1,7,6,3,5]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[3,2,8,1,7,6,4,5]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[4,1,2,8,7,6,5,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[5,1,8,2,7,6,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[6,1,8,7,2,5,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[7,1,8,6,5,2,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[8,1,7,6,5,4,2,3]=>[[1,3,8],[2],[4],[5],[6],[7]]=>22
[3,1,2,6,5,8,7,4]=>[[1,3,4,6],[2,5,7],[8]]=>14
[3,1,6,2,4,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>15
[3,1,5,2,4,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>15
[4,5,1,2,3,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>9
[4,6,1,2,3,8,7,5]=>[[1,2,5,6],[3,4,7],[8]]=>9
[1,6,5,3,4,8,7,2]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[6,1,5,2,4,8,7,3]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[6,5,1,2,3,8,7,4]=>[[1,4,5,6],[2,7],[3,8]]=>11
[6,4,1,2,3,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>11
[5,4,1,2,3,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>11
[5,4,1,2,7,3,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>11
[6,4,1,7,2,3,5,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[6,4,1,8,2,3,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>12
[7,4,1,2,8,3,6,5]=>[[1,4,5,7],[2,6],[3,8]]=>13
[7,5,1,2,8,3,6,4]=>[[1,4,5,7],[2,6],[3,8]]=>13
[7,1,5,2,8,4,6,3]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[1,7,5,3,8,4,6,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[1,8,5,3,7,4,6,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[8,1,5,2,7,4,6,3]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[8,5,1,2,7,3,6,4]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[8,4,1,2,7,3,6,5]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[8,4,1,7,2,3,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>12
[7,4,1,6,2,3,5,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[8,6,1,7,2,3,5,4]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[8,1,6,7,2,4,5,3]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[1,8,6,7,3,4,5,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[1,7,6,8,3,4,5,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[7,1,6,8,2,4,5,3]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[7,6,1,8,2,3,5,4]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[4,7,1,2,8,3,6,5]=>[[1,2,5,7],[3,4,6],[8]]=>11
[3,1,7,2,8,4,6,5]=>[[1,3,5,7],[2,4,6],[8]]=>17
[3,1,2,7,8,5,6,4]=>[[1,3,4,5],[2,6,7],[8]]=>11
[1,4,3,8,7,5,6,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[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]]=>19
[3,1,8,7,2,4,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>13
[3,1,7,6,2,4,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[4,7,1,6,2,3,5,8]=>[[1,2,6,7,8],[3,4],[5]]=>7
[4,8,1,6,2,3,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>7
[4,8,1,7,2,3,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>7
[4,8,1,2,7,3,6,5]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[5,8,1,2,7,3,6,4]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[5,1,8,2,7,4,6,3]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[1,5,8,3,7,4,6,2]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[1,6,8,7,3,4,5,2]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[6,1,8,7,2,4,5,3]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[6,8,1,7,2,3,5,4]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[6,8,7,1,2,3,4,5]=>[[1,2,6,7,8],[3,5],[4]]=>11
[5,8,7,1,2,3,4,6]=>[[1,2,6,7,8],[3,5],[4]]=>11
[5,8,6,1,2,3,4,7]=>[[1,2,6,7,8],[3,5],[4]]=>11
[5,7,6,1,2,3,4,8]=>[[1,2,6,7,8],[3,5],[4]]=>11
[7,8,1,6,2,3,5,4]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[7,1,8,6,2,4,5,3]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[1,7,8,6,3,4,5,2]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[1,8,7,6,3,4,5,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>13
[8,1,7,6,2,4,5,3]=>[[1,3,6,7],[2],[4],[5],[8]]=>19
[8,7,1,6,2,3,5,4]=>[[1,4,6,7],[2],[3],[5],[8]]=>18
[3,2,5,1,6,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>17
[3,2,5,4,7,1,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>17
[4,2,5,3,7,6,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>17
[4,2,5,3,7,1,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>17
[4,2,5,3,6,1,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>17
[4,2,5,1,6,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>17
[3,1,5,4,6,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>17
[4,1,5,3,6,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>17
[4,3,5,1,6,2,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>17
[4,3,5,2,7,1,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[4,3,6,2,7,5,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[4,3,6,2,7,1,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[4,3,6,1,7,2,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>17
[4,3,5,1,7,2,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>17
[3,1,5,4,7,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>17
[2,1,5,4,7,3,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>17
[3,1,5,4,7,6,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>17
[4,1,5,3,7,6,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>17
[4,3,5,1,7,6,8,2]=>[[1,3,5,7],[2,6],[4,8]]=>18
[4,3,6,1,7,5,8,2]=>[[1,3,5,7],[2,6],[4,8]]=>18
[4,3,6,5,7,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>18
[5,3,6,4,7,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[5,3,6,4,7,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>18
[5,3,6,1,7,4,8,2]=>[[1,3,5,7],[2,6],[4,8]]=>18
[5,1,6,3,7,4,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>17
[4,1,6,3,7,5,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>17
[3,1,6,4,7,5,8,2]=>[[1,3,5,7],[2,4,6],[8]]=>17
[2,1,6,4,7,5,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>17
[2,1,6,4,7,3,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>17
[3,1,6,4,7,2,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>17
[4,1,6,3,7,2,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>17
[5,1,6,3,7,2,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>17
[5,3,6,1,7,2,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>17
[5,3,6,2,7,1,8,4]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[5,3,6,2,7,4,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[5,2,6,3,7,4,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>17
[5,2,6,3,7,1,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>17
[5,2,6,1,7,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>17
[4,2,5,1,7,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>17
[4,2,6,1,7,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>17
[4,2,6,3,7,1,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>17
[4,2,6,3,7,5,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>17
[3,2,6,4,7,5,8,1]=>[[1,3,5,7],[2,4,6],[8]]=>17
[3,2,6,4,7,1,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>17
[3,2,6,1,7,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>17
[3,2,5,1,7,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>17
[3,2,4,1,7,5,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>17
[3,1,4,2,7,6,8,5]=>[[1,3,5,7],[2,4,6],[8]]=>17
[3,2,5,1,7,6,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>18
[3,2,6,1,7,5,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>18
[3,2,6,5,7,1,8,4]=>[[1,3,5,7],[2,4],[6,8]]=>18
[4,2,6,5,7,3,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[4,2,6,5,7,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>18
[4,2,6,1,7,5,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>18
[4,2,5,1,7,6,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>18
[4,1,5,2,7,6,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>17
[3,1,5,2,7,6,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>17
[2,1,5,3,7,6,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>17
[2,1,6,3,7,5,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>17
[3,1,6,2,7,5,8,4]=>[[1,3,5,7],[2,4,6],[8]]=>17
[4,1,6,2,7,5,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>17
[5,1,6,2,7,4,8,3]=>[[1,3,5,7],[2,4,6],[8]]=>17
[5,2,6,1,7,4,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>18
[5,2,6,4,7,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>18
[5,2,6,4,7,3,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[5,4,6,2,7,3,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[5,4,6,2,7,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[5,4,6,1,7,2,8,3]=>[[1,3,5,7],[2,6,8],[4]]=>17
[5,1,6,4,7,2,8,3]=>[[1,3,5,7],[2,4,8],[6]]=>17
[4,1,6,5,7,2,8,3]=>[[1,3,5,7],[2,4,8],[6]]=>17
[3,1,6,5,7,2,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>17
[2,1,6,5,7,3,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>17
[3,1,6,5,7,4,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[4,1,6,5,7,3,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[5,1,6,4,7,3,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[5,4,6,1,7,3,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[5,4,6,3,7,1,8,2]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,3,5,2,1,6,4,7]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[8,6,3,5,2,4,1,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[3,7,5,2,4,1,8,6]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[8,3,7,5,2,4,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[8,2,4,5,7,3,6,1]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[2,4,5,7,3,1,8,6]=>[[1,2,3,4,7],[5,8],[6]]=>6
[8,2,4,6,5,3,1,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[8,2,5,4,6,1,3,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[8,6,3,5,1,4,2,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[8,6,1,4,5,3,2,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[8,1,5,6,4,3,2,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[5,7,4,3,2,1,8,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[8,5,7,4,3,2,6,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>24
[4,6,8,3,2,7,5,1]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[4,7,6,3,2,8,1,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[1,4,6,7,3,2,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>6
[5,4,7,3,1,8,2,6]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[1,7,4,5,3,2,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[3,7,5,1,4,2,8,6]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[5,7,4,2,1,3,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[8,5,7,4,2,1,6,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[8,3,7,5,1,4,6,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[8,4,1,7,5,3,6,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[4,6,3,8,7,1,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[1,7,4,8,6,3,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[8,4,7,6,3,5,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>25
[3,6,5,8,7,4,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[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]]=>14
[3,6,4,1,8,7,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[8,2,6,1,4,7,5,3]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[2,7,6,8,1,4,3,5]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[3,7,1,6,4,8,2,5]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[1,7,3,5,6,8,2,4]=>[[1,2,4,5,6],[3,8],[7]]=>10
[1,3,6,7,5,8,2,4]=>[[1,2,3,4,6],[5,8],[7]]=>8
[3,7,6,5,8,2,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[3,6,8,5,7,2,4,1]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[2,3,5,7,6,8,1,4]=>[[1,2,3,4,6],[5,8],[7]]=>8
[2,1,6,5,7,8,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>16
[4,2,7,6,8,3,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[4,2,6,8,7,3,5,1]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[3,8,2,4,6,7,5,1]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[3,7,2,6,4,8,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[3,2,6,1,4,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>18
[5,3,7,2,1,8,4,6]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[4,7,3,2,1,5,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[8,7,6,1,3,4,2,5]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[8,5,7,3,2,1,6,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[8,3,6,7,2,1,5,4]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[3,7,8,6,2,1,5,4]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[8,7,6,3,5,2,4,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[2,7,4,8,1,6,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[4,6,8,2,1,7,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[8,4,1,5,7,2,6,3]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[8,5,3,7,1,6,2,4]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[8,5,7,2,1,3,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[8,2,6,7,1,3,5,4]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[8,3,6,1,7,5,2,4]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[4,6,1,8,7,2,5,3]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[8,1,2,5,6,7,4,3]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[8,2,6,5,7,4,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[2,1,7,8,5,6,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[8,2,5,7,6,4,3,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>21
[2,7,6,8,5,4,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[1,7,2,5,8,6,4,3]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[1,7,4,8,2,6,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[3,7,8,1,6,5,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[2,7,8,6,1,3,5,4]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[8,7,6,3,5,1,4,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[8,4,7,6,5,1,3,2]=>[[1,3],[2,7],[4],[5],[6],[8]]=>24
[8,7,1,5,6,4,3,2]=>[[1,4,5],[2],[3],[6],[7],[8]]=>20
[8,1,6,7,5,4,3,2]=>[[1,3,4],[2],[5],[6],[7],[8]]=>21
[6,5,3,1,2,4,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[4,6,3,5,1,2,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>9
[8,5,3,7,2,1,4,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[6,8,1,4,5,7,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[8,7,2,4,5,1,3,6]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[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]]=>12
[5,6,3,2,1,4,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[5,4,3,6,1,2,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[6,3,1,4,5,2,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>12
[3,1,6,4,5,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>17
[8,3,7,4,5,1,2,6]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[5,8,7,4,2,6,3,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[2,8,7,4,1,6,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[8,1,7,4,2,6,3,5]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[3,7,8,4,5,1,2,6]=>[[1,2,3,8],[4,5],[6,7]]=>7
[2,1,8,7,5,3,4,6]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[2,1,6,8,5,7,3,4]=>[[1,3,4],[2,5,6],[7,8]]=>13
[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]]=>15
[3,7,6,4,5,8,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[8,5,7,4,1,6,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>22
[5,1,8,4,7,6,2,3]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[2,5,8,4,7,6,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[2,4,8,3,5,6,7,1]=>[[1,2,3,6,7],[4,5],[8]]=>7
[4,1,8,3,5,6,7,2]=>[[1,3,5,6,7],[2,4],[8]]=>14
[3,8,4,2,5,6,7,1]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[8,4,1,3,5,6,7,2]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[7,5,8,4,3,6,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>23
[6,5,3,8,4,1,7,2]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[2,1,5,8,4,6,7,3]=>[[1,3,4,7],[2,5,6],[8]]=>13
[2,1,4,8,3,6,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>13
[6,4,3,8,2,1,7,5]=>[[1,4],[2,7],[3,8],[5],[6]]=>20
[7,3,8,4,2,6,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[8,3,1,2,5,6,7,4]=>[[1,4,5,6,7],[2,8],[3]]=>9
[3,1,8,2,5,6,7,4]=>[[1,3,5,6,7],[2,4],[8]]=>14
[2,3,8,1,5,6,7,4]=>[[1,2,3,6,7],[4,5],[8]]=>7
[4,3,8,2,5,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[4,8,2,3,5,6,7,1]=>[[1,2,5,6,7],[3,4],[8]]=>8
[3,8,2,1,5,6,7,4]=>[[1,2,6,7],[3,5],[4,8]]=>13
[2,8,1,3,5,6,7,4]=>[[1,2,5,6,7],[3,4],[8]]=>8
[8,1,2,3,5,6,7,4]=>[[1,3,4,5,6,7],[2],[8]]=>9
[7,8,2,4,3,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[6,8,3,2,4,1,7,5]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[2,1,8,3,4,6,7,5]=>[[1,3,5,6,7],[2,4],[8]]=>14
[2,1,7,8,5,4,3,6]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[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]]=>18
[2,7,8,4,5,3,1,6]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[8,7,1,4,3,6,2,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[3,8,7,4,2,6,1,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[5,7,8,4,3,6,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[5,6,3,8,4,2,7,1]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[4,8,3,6,2,1,7,5]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[8,6,3,1,4,2,7,5]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[7,5,3,8,2,4,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[2,4,3,1,8,5,7,6]=>[[1,2,5,7],[3,6],[4,8]]=>12
[4,1,3,2,6,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>16
[7,5,3,6,2,8,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[8,6,3,5,1,2,7,4]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[5,8,3,2,6,1,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[4,5,3,8,6,2,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[3,5,8,4,7,6,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[5,8,2,4,7,6,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[8,7,5,4,1,6,2,3]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[2,7,6,4,5,8,1,3]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[7,1,6,4,5,8,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[5,7,3,6,1,8,2,4]=>[[1,2,6],[3,4,8],[5,7]]=>11
[2,1,7,6,5,8,3,4]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[2,1,8,5,3,6,7,4]=>[[1,3,6,7],[2,4,8],[5]]=>14
[6,8,3,5,2,1,7,4]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[7,8,5,4,2,6,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[8,1,4,2,5,6,7,3]=>[[1,3,5,6,7],[2,8],[4]]=>14
[2,8,4,1,5,6,7,3]=>[[1,2,5,6,7],[3,8],[4]]=>8
[4,8,1,2,5,6,7,3]=>[[1,2,5,6,7],[3,4],[8]]=>8
[3,4,8,1,5,6,7,2]=>[[1,2,3,6,7],[4,5],[8]]=>7
[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]]=>13
[8,4,2,1,5,6,7,3]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[7,5,2,4,8,6,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[6,5,3,2,8,1,7,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>19
[2,1,5,3,8,6,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>17
[6,4,3,5,8,1,7,2]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[7,3,5,4,8,6,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[8,3,4,1,5,6,7,2]=>[[1,3,5,6,7],[2,8],[4]]=>14
[4,3,1,8,5,6,7,2]=>[[1,4,6,7],[2,5],[3,8]]=>14
[3,1,4,8,5,6,7,2]=>[[1,3,4,6,7],[2,5],[8]]=>13
[6,5,3,7,2,8,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[6,3,7,4,5,8,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[6,7,2,4,5,8,3,1]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[5,1,7,4,8,6,3,2]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[2,5,7,4,8,6,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[5,6,3,7,1,8,4,2]=>[[1,2,4,6],[3,7],[5,8]]=>14
[3,8,7,4,5,2,1,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>15
[3,7,5,4,8,6,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[5,7,1,4,8,6,2,3]=>[[1,2,5],[3,4,6],[7,8]]=>11
[5,6,3,1,8,2,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>11
[4,6,3,5,8,2,7,1]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[4,6,3,8,1,2,7,5]=>[[1,2,4],[3,6,7],[5,8]]=>15
[3,7,8,4,1,6,2,5]=>[[1,2,3],[4,6,8],[5,7]]=>11
[3,2,5,1,6,8,4,7]=>[[1,3,5,6],[2,7,8],[4]]=>15
[3,6,2,5,4,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[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]]=>8
[4,2,5,8,3,7,6,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[4,2,6,5,3,8,1,7]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[5,4,2,1,6,8,3,7]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[6,3,5,1,4,8,2,7]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[4,6,1,5,3,8,2,7]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[5,1,6,4,3,8,2,7]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[5,4,3,2,7,1,8,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[5,4,3,8,2,7,6,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[4,3,6,2,8,7,5,1]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[4,3,7,6,2,1,8,5]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[6,4,3,1,7,2,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[7,5,4,3,1,8,2,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[1,4,7,5,8,3,2,6]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[7,1,3,5,8,4,2,6]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[7,2,5,8,4,1,3,6]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[2,8,5,7,4,6,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[3,5,8,7,1,4,6,2]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[1,4,5,8,7,3,6,2]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[1,5,4,8,7,3,6,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[6,4,3,8,1,7,5,2]=>[[1,4],[2,6],[3,7],[5,8]]=>20
[4,3,7,1,8,6,5,2]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[4,8,3,7,6,5,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>16
[5,3,8,7,6,4,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>22
[7,5,3,1,8,6,4,2]=>[[1,5],[2,6],[3,7],[4,8]]=>16
[1,8,6,5,3,7,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[1,5,8,6,3,7,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[4,6,1,8,7,3,5,2]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[6,8,7,3,1,4,5,2]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[6,2,8,7,4,5,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[7,6,2,8,4,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[7,3,1,6,8,4,2,5]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[1,7,6,4,8,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[5,7,1,6,3,2,8,4]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[6,1,7,5,3,2,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[7,6,5,3,2,1,8,4]=>[[1,7],[2,8],[3],[4],[5],[6]]=>18
[6,5,3,2,8,7,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>17
[5,2,6,3,8,7,4,1]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[5,2,7,6,3,1,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[6,5,2,1,7,3,8,4]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[5,2,7,4,1,8,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>17
[4,7,2,6,3,1,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[2,4,8,6,3,7,5,1]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[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]]=>20
[3,6,7,2,1,4,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>10
[4,3,7,8,2,1,5,6]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[8,3,7,1,4,6,2,5]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[3,8,2,5,7,1,6,4]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[8,3,6,2,7,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[7,8,3,6,2,1,5,4]=>[[1,2],[3,4],[5,7],[6,8]]=>14
[8,7,3,6,2,5,4,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>24
[4,7,8,2,1,6,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[4,2,6,8,1,7,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[5,4,8,2,7,1,6,3]=>[[1,3],[2,5],[4,7],[6,8]]=>24
[4,8,1,5,7,2,6,3]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[5,8,3,7,1,6,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[5,8,7,2,6,1,3,4]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[8,6,2,7,5,1,3,4]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[3,6,8,1,7,5,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[5,1,6,8,2,7,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[6,5,2,8,1,7,4,3]=>[[1,4],[2,6],[3,7],[5,8]]=>20
[5,2,7,1,8,6,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[5,8,2,7,6,4,3,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>16
[6,2,8,7,5,4,3,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>22
[7,6,2,1,8,5,4,3]=>[[1,5],[2,6],[3,7],[4],[8]]=>17
[6,1,7,2,8,5,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[7,5,1,8,2,6,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[4,7,1,8,6,2,5,3]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[7,8,3,1,6,5,2,4]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[8,7,4,6,1,5,3,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>24
[8,5,7,1,6,4,3,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>26
[6,8,1,7,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>16
[7,1,8,6,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>22
[5,4,2,3,7,6,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[6,4,2,7,3,5,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[7,4,2,6,3,5,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[8,4,2,6,3,1,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[3,2,7,6,4,5,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[4,7,2,6,3,5,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[5,7,6,2,3,4,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[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]]=>10
[6,8,5,2,3,1,4,7]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[5,8,6,2,3,1,4,7]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[4,8,2,6,3,1,5,7]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[3,2,8,6,4,1,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[3,2,1,6,4,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>14
[7,1,5,2,8,3,4,6]=>[[1,3,5,7,8],[2,6],[4]]=>16
[1,8,5,2,7,3,4,6]=>[[1,2,5,7,8],[3,6],[4]]=>10
[1,8,6,7,2,3,4,5]=>[[1,2,4,7,8],[3,6],[5]]=>14
[8,1,6,7,2,3,4,5]=>[[1,3,4,7,8],[2,6],[5]]=>15
[7,1,6,8,2,3,4,5]=>[[1,3,4,7,8],[2,6],[5]]=>15
[3,2,1,7,8,4,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>11
[3,2,8,7,1,4,5,6]=>[[1,3,7,8],[2,4],[5,6]]=>14
[5,8,7,2,1,3,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[1,7,6,8,2,3,4,5]=>[[1,2,4,7,8],[3,6],[5]]=>14
[6,5,8,2,3,1,4,7]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[8,5,7,2,1,3,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[6,4,2,8,3,1,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[5,4,2,3,8,1,6,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[3,2,5,4,1,8,6,7]=>[[1,3,6,8],[2,4,7],[5]]=>15
[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]]=>16
[6,4,2,1,3,8,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[7,4,2,1,8,3,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[8,4,2,1,7,3,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[1,4,2,8,7,3,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>11
[1,5,8,2,7,3,4,6]=>[[1,2,3,7,8],[4,5],[6]]=>6
[8,5,1,2,7,3,4,6]=>[[1,4,5,7,8],[2,6],[3]]=>11
[7,5,1,2,8,3,4,6]=>[[1,4,5,7,8],[2,6],[3]]=>11
[6,5,1,2,3,8,4,7]=>[[1,4,5,6,8],[2,7],[3]]=>10
[4,6,2,1,3,8,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>13
[3,2,6,1,4,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>19
[3,2,7,1,8,4,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>16
[4,7,2,1,8,3,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>10
[7,6,1,8,2,3,4,5]=>[[1,4,6,7,8],[2,5],[3]]=>12
[8,6,1,7,2,3,4,5]=>[[1,4,6,7,8],[2,5],[3]]=>12
[1,6,8,7,2,3,4,5]=>[[1,2,3,7,8],[4,6],[5]]=>9
[1,7,8,6,2,3,4,5]=>[[1,2,3,7,8],[4,6],[5]]=>9
[7,8,1,6,2,3,4,5]=>[[1,2,6,7,8],[3,4],[5]]=>7
[6,8,1,7,2,3,4,5]=>[[1,2,6,7,8],[3,4],[5]]=>7
[4,8,2,1,7,3,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>12
[3,2,8,1,7,4,5,6]=>[[1,3,7,8],[2,5],[4,6]]=>18
[3,2,1,8,7,4,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>13
[5,1,8,2,7,3,4,6]=>[[1,3,5,7,8],[2,4],[6]]=>16
[6,1,8,7,2,3,4,5]=>[[1,3,6,7,8],[2,4],[5]]=>13
[8,1,7,6,2,3,4,5]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[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]]=>18
[4,3,5,6,1,2,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>16
[8,3,7,5,2,1,4,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[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]]=>16
[8,5,2,7,4,1,3,6]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[2,6,1,5,4,3,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[6,4,3,5,1,2,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[5,3,1,4,6,2,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>12
[3,1,4,6,5,2,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13
[5,7,4,6,2,8,3,1]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[8,1,4,7,2,6,3,5]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[3,4,7,8,5,2,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[2,1,8,5,7,3,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>18
[8,6,3,5,1,7,4,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[5,8,2,4,6,7,3,1]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[3,4,8,6,5,7,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[7,5,4,8,1,6,3,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[5,1,4,6,8,2,7,3]=>[[1,3,4,5],[2,7],[6,8]]=>14
[2,5,4,6,7,1,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>11
[2,4,6,3,7,5,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>10
[4,1,6,3,8,5,7,2]=>[[1,3,5,7],[2,4,6],[8]]=>17
[3,7,4,2,8,6,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[7,4,1,3,5,8,6,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[6,5,8,4,1,7,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>22
[8,5,3,7,4,1,6,2]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[2,1,4,8,3,7,6,5]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[7,4,3,8,2,1,6,5]=>[[1,4],[2,7],[3,8],[5],[6]]=>20
[6,3,7,4,1,8,2,5]=>[[1,3,6],[2,4,8],[5,7]]=>17
[8,3,1,2,5,7,6,4]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[3,1,8,2,7,6,5,4]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[2,3,8,1,6,7,5,4]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[4,3,7,2,6,8,5,1]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[4,7,2,3,8,5,6,1]=>[[1,2,5,7],[3,4,6],[8]]=>11
[3,8,2,1,7,5,6,4]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[2,8,1,3,6,5,7,4]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[2,7,8,5,4,3,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[8,7,1,6,3,4,2,5]=>[[1,4,6,8],[2],[3],[5],[7]]=>19
[3,8,6,7,2,4,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[5,3,8,7,4,2,6,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[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]]=>20
[7,3,5,8,2,4,1,6]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[2,3,4,1,8,5,7,6]=>[[1,2,3,5,7],[4,6],[8]]=>10
[4,1,3,2,6,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>14
[8,3,5,6,2,7,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[5,3,6,1,8,7,2,4]=>[[1,3,5],[2,6,8],[4,7]]=>18
[5,6,2,8,7,4,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[7,8,5,6,1,4,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[2,8,6,5,4,7,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[8,1,6,4,5,7,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[5,8,3,6,1,7,2,4]=>[[1,2,6],[3,4,8],[5,7]]=>11
[2,1,8,6,5,7,3,4]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[2,1,7,5,3,6,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>14
[6,7,3,5,2,1,8,4]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[7,1,4,2,5,6,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>14
[2,7,4,1,6,5,8,3]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[4,6,1,2,8,7,3,5]=>[[1,2,5,8],[3,4,6],[7]]=>10
[2,4,1,5,8,7,6,3]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[4,1,2,5,8,6,7,3]=>[[1,3,4,5,7],[2,6],[8]]=>12
[6,4,2,1,5,8,7,3]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[8,5,2,4,6,1,7,3]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[7,5,3,2,6,8,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[2,1,5,3,6,8,7,4]=>[[1,3,5,6],[2,4,7],[8]]=>15
[7,3,5,4,6,1,8,2]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[6,3,4,1,5,7,8,2]=>[[1,3,5,6,7],[2,8],[4]]=>14
[4,3,1,5,7,6,8,2]=>[[1,4,5,7],[2,6],[3,8]]=>13
[3,1,4,5,6,8,7,2]=>[[1,3,4,5,6],[2,7],[8]]=>10
[4,5,2,6,3,1,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>12
[6,5,2,1,4,3,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[6,5,2,7,4,8,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[8,5,2,7,4,1,6,3]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[8,3,7,5,2,1,6,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[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]]=>16
[5,6,3,2,4,1,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[3,6,2,4,1,5,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>8
[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]]=>9
[8,7,2,3,4,1,6,5]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[5,1,7,3,8,4,6,2]=>[[1,3,5,7],[2,4,6],[8]]=>17
[2,5,7,3,8,6,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[7,6,1,3,5,8,4,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>15
[3,6,7,4,1,8,5,2]=>[[1,2,3,6],[4,7],[5,8]]=>9
[5,6,3,7,4,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>14
[2,1,6,7,4,8,5,3]=>[[1,3,4,6],[2,5,7],[8]]=>14
[2,1,8,7,4,3,6,5]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[5,8,3,7,4,2,6,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[3,8,7,4,1,2,6,5]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[7,8,1,3,5,2,6,4]=>[[1,2,5,7],[3,4],[6,8]]=>12
[5,8,7,3,2,6,1,4]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[2,8,6,3,1,5,7,4]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[8,1,6,3,2,5,4,7]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[2,8,4,1,6,3,7,5]=>[[1,2,5,7],[3,6,8],[4]]=>11
[4,8,1,2,7,6,3,5]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[3,8,4,2,5,7,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[6,8,3,5,2,7,4,1]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[2,1,5,3,8,7,6,4]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[6,5,3,2,8,7,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[7,5,2,4,8,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[3,4,2,8,5,7,6,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[2,4,1,8,7,6,5,3]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[8,4,2,1,7,5,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[4,3,1,8,6,7,5,2]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[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]]=>21
[3,7,5,6,8,4,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[5,7,1,6,8,2,4,3]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[8,6,2,5,1,7,4,3]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[5,6,2,1,8,7,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>12
[4,6,2,5,8,3,7,1]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[7,5,2,6,3,8,1,4]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[4,1,2,3,6,8,7,5]=>[[1,3,4,5,6],[2,7],[8]]=>10
[2,4,3,1,8,5,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>10
[7,5,2,8,3,4,6,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[5,6,2,8,4,3,1,7]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[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]]=>11
[3,6,8,7,1,5,4,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[5,7,8,6,3,4,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[7,1,8,5,4,3,6,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[2,7,8,4,5,3,6,1]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[5,7,3,8,1,4,6,2]=>[[1,2,4],[3,6,7],[5,8]]=>15
[2,1,7,8,5,4,6,3]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[2,1,5,8,4,6,3,7]=>[[1,3,4,8],[2,5,6],[7]]=>12
[6,5,3,8,4,1,2,7]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[7,5,8,4,3,6,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>25
[2,4,8,3,5,6,1,7]=>[[1,2,3,6,8],[4,5],[7]]=>8
[4,1,8,3,6,5,2,7]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[3,4,8,1,7,2,5,6]=>[[1,2,3,8],[4,5,7],[6]]=>8
[8,4,1,3,7,2,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[3,1,8,2,4,7,6,5]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[2,3,8,1,4,6,7,5]=>[[1,2,3,6,7],[4,5],[8]]=>7
[4,3,8,2,5,1,7,6]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[6,3,8,4,2,5,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[7,4,3,8,2,5,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[2,1,4,8,3,5,7,6]=>[[1,3,4,7],[2,5,6],[8]]=>13
[6,8,2,4,3,5,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[4,8,2,3,5,1,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>10
[3,8,2,1,4,6,5,7]=>[[1,2,6,8],[3,5],[4,7]]=>14
[2,8,1,3,4,5,7,6]=>[[1,2,5,6,7],[3,4],[8]]=>8
[2,8,4,1,6,5,3,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[2,8,4,1,6,5,7,3]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[2,8,7,6,1,4,3,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[2,8,5,6,7,4,3,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[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]]=>11
[3,5,7,2,4,1,6,8]=>[[1,2,3,8],[4,5,7],[6]]=>8
[7,5,8,2,4,1,6,3]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[2,8,5,3,4,7,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[2,8,5,3,4,1,7,6]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[2,8,5,3,4,1,6,7]=>[[1,2,5,7,8],[3],[4],[6]]=>12
[2,8,7,6,1,4,5,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[2,8,5,3,6,1,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[2,8,5,6,7,4,1,3]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[2,8,5,3,4,7,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[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]]=>10
[3,5,7,2,4,6,1,8]=>[[1,2,3,8],[4,5,6],[7]]=>6
[6,5,2,7,3,1,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[6,5,2,8,3,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[6,5,2,8,3,1,4,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[7,5,8,2,4,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[7,5,8,6,1,4,3,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[6,5,8,2,1,3,7,4]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[3,5,6,2,1,8,7,4]=>[[1,2,3,6],[4,7],[5,8]]=>9
[3,5,7,6,1,4,8,2]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[3,5,7,2,4,1,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>7
[3,5,7,2,4,6,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>7
[6,5,2,7,3,1,8,4]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[4,5,2,6,3,1,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>11
[4,1,2,3,7,6,8,5]=>[[1,3,4,5,7],[2,6],[8]]=>12
[6,5,2,7,3,4,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[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]]=>14
[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]]=>16
[6,5,2,8,3,7,4,1]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[4,1,2,3,8,7,5,6]=>[[1,3,4,5,8],[2,6],[7]]=>11
[4,1,2,3,8,6,5,7]=>[[1,3,4,5,8],[2,6],[7]]=>11
[4,1,2,3,8,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>12
[4,1,2,3,7,6,5,8]=>[[1,3,4,5,8],[2,6],[7]]=>11
[4,1,2,3,8,5,7,6]=>[[1,3,4,5,7],[2,6],[8]]=>12
[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]]=>13
[5,6,8,2,3,1,7,4]=>[[1,2,3],[4,5,7],[6,8]]=>9
[6,5,8,2,4,3,1,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[6,5,8,2,4,3,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[7,5,2,8,3,4,1,6]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[6,5,2,8,3,7,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[6,5,2,7,3,4,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[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]]=>15
[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]]=>14
[4,1,8,3,6,5,7,2]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[4,1,8,3,6,2,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>18
[3,1,4,8,6,2,7,5]=>[[1,3,4,7],[2,5,8],[6]]=>13
[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]]=>22
[4,1,6,7,8,3,2,5]=>[[1,3,4,5],[2,6,8],[7]]=>12
[4,1,6,5,7,3,2,8]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[4,5,2,6,3,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[4,5,2,7,3,8,1,6]=>[[1,2,4,6],[3,5,8],[7]]=>14
[3,5,6,2,4,8,7,1]=>[[1,2,3,6],[4,5,7],[8]]=>8
[3,5,6,2,4,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>9
[3,7,5,6,8,4,1,2]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[3,6,5,2,8,1,7,4]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[6,1,2,5,8,4,7,3]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[7,1,6,5,8,3,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[7,5,2,6,3,8,4,1]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[4,1,2,3,5,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>10
[4,1,2,3,7,8,6,5]=>[[1,3,4,5,6],[2,7],[8]]=>10
[4,5,2,7,3,8,6,1]=>[[1,2,4,6],[3,5,7],[8]]=>13
[4,1,6,7,8,3,5,2]=>[[1,3,4,5],[2,6,7],[8]]=>11
[4,1,2,6,8,5,7,3]=>[[1,3,4,5],[2,6,7],[8]]=>11
[4,1,2,5,6,8,7,3]=>[[1,3,4,5,6],[2,7],[8]]=>10
[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]]=>13
[7,8,4,2,1,5,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[7,8,2,1,6,5,3,4]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[6,4,1,2,5,7,3,8]=>[[1,4,5,6,8],[2,7],[3]]=>10
[2,4,8,1,5,7,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>9
[4,3,8,1,7,2,5,6]=>[[1,3,7,8],[2,5],[4,6]]=>18
[6,3,1,4,7,2,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>11
[7,8,3,4,5,1,6,2]=>[[1,2,5,7],[3,4],[6,8]]=>12
[7,8,3,5,4,2,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[7,8,4,1,2,3,6,5]=>[[1,2,6,7],[3,5],[4,8]]=>13
[7,8,3,6,5,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[7,8,2,1,5,3,4,6]=>[[1,2,7,8],[3,5],[4,6]]=>12
[7,8,2,6,4,1,3,5]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[7,8,2,5,6,4,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[7,8,1,6,5,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>16
[6,2,1,7,5,4,3,8]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[2,1,8,7,5,4,3,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[1,3,8,2,6,4,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>7
[5,3,7,1,6,4,8,2]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[5,3,6,2,7,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[6,1,2,5,8,7,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[6,3,1,8,4,2,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>14
[6,4,2,1,5,3,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[6,4,3,7,5,8,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[4,3,8,7,5,6,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[2,4,7,1,5,3,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[1,3,7,6,4,2,8,5]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[2,1,7,5,6,8,4,3]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[3,7,2,8,6,4,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[3,8,1,7,6,4,5,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[1,8,5,7,3,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[2,7,5,8,3,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[1,5,6,8,2,4,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>5
[2,6,8,5,3,1,4,7]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[2,6,1,4,7,3,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>12
[5,6,7,3,8,4,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>10
[5,2,8,1,4,7,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>21
[4,6,7,5,2,1,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[4,5,6,7,2,8,1,3]=>[[1,2,3,4,6],[5,8],[7]]=>8
[4,5,7,6,1,8,3,2]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[1,5,8,6,2,7,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>8
[1,6,5,8,3,2,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[4,6,5,7,1,2,8,3]=>[[1,2,4,7],[3,6,8],[5]]=>15
[4,7,5,6,3,1,8,2]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[5,1,6,3,4,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>17
[5,7,1,4,2,3,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>8
[5,7,6,4,3,8,1,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[6,3,4,5,8,7,1,2]=>[[1,3,4,5],[2,6],[7,8]]=>12
[6,2,4,1,8,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>17
[6,2,3,5,4,8,1,7]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[6,1,3,4,5,8,7,2]=>[[1,3,4,5,6],[2,7],[8]]=>10
[5,1,4,2,7,6,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>18
[1,6,2,4,7,8,3,5]=>[[1,2,4,5,6],[3,8],[7]]=>10
[5,7,2,4,1,6,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>10
[6,1,4,2,8,5,3,7]=>[[1,3,5,8],[2,6],[4,7]]=>17
[6,7,5,8,1,4,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[5,8,7,6,3,4,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[5,8,7,6,2,3,1,4]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[4,1,7,2,6,5,3,8]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[4,8,2,1,5,6,3,7]=>[[1,2,6,8],[3,5],[4,7]]=>14
[4,2,7,8,1,6,3,5]=>[[1,3,4],[2,6,8],[5,7]]=>17
[2,1,8,7,6,5,3,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[3,1,4,7,8,2,6,5]=>[[1,3,4,5],[2,6,7],[8]]=>11
[3,1,7,4,5,6,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>14
[4,2,7,1,6,3,8,5]=>[[1,3,7],[2,5,8],[4,6]]=>19
[4,3,7,5,6,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>16
[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]]=>15
[3,8,5,6,1,4,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[5,3,7,8,2,1,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[5,2,8,7,1,6,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[1,6,8,7,5,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[3,6,7,8,5,1,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[3,7,6,8,5,2,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[3,7,8,5,1,2,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>9
[3,7,1,6,4,2,5,8]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[4,1,8,6,2,3,5,7]=>[[1,3,6,7,8],[2,4],[5]]=>13
[4,7,8,6,3,5,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[3,8,7,6,5,4,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[2,1,7,6,5,3,4,8]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[2,8,1,6,4,5,3,7]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[2,8,7,5,1,4,3,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[2,8,6,7,5,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[2,7,8,6,5,4,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[6,4,2,7,1,3,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[7,4,2,5,1,3,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[8,5,3,6,1,7,2,4]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[7,3,6,2,4,8,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[4,3,7,1,2,5,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>18
[3,6,2,7,1,4,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>15
[5,3,6,7,1,2,8,4]=>[[1,3,4,7],[2,6,8],[5]]=>16
[6,3,7,4,1,2,8,5]=>[[1,3,7],[2,4,8],[5,6]]=>15
[4,7,1,5,2,3,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>8
[3,7,5,1,2,4,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>12
[7,6,4,2,3,8,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[8,6,4,2,3,7,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[4,7,6,3,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[5,7,4,2,3,8,1,6]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[3,7,6,1,4,8,2,5]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[6,4,7,5,2,8,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[7,4,8,5,2,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[5,8,2,6,3,7,1,4]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[3,8,6,2,4,7,1,5]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[4,8,6,2,7,1,3,5]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[2,6,5,8,1,3,4,7]=>[[1,2,4,8],[3,6,7],[5]]=>14
[2,5,7,4,8,1,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>11
[5,4,6,7,2,8,1,3]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[3,5,7,1,4,8,2,6]=>[[1,2,3,6],[4,5,8],[7]]=>9
[5,3,7,2,4,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[5,4,7,3,8,1,2,6]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[7,4,6,3,8,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[8,4,6,3,7,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[8,4,1,6,7,2,3,5]=>[[1,4,5,8],[2,6,7],[3]]=>11
[7,4,1,6,8,2,3,5]=>[[1,4,5,8],[2,6,7],[3]]=>11
[6,5,3,7,1,8,2,4]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[6,5,1,2,7,8,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>10
[5,3,6,4,7,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>16
[6,3,7,4,8,5,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>17
[4,7,1,5,8,6,2,3]=>[[1,2,5],[3,4,6],[7,8]]=>11
[7,5,1,2,8,6,3,4]=>[[1,4,5,8],[2,6],[3,7]]=>12
[7,6,1,8,5,2,3,4]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[8,6,1,7,5,2,3,4]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[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]]=>14
[3,6,8,2,7,1,4,5]=>[[1,2,3],[4,5,8],[6,7]]=>8
[2,4,8,7,1,3,5,6]=>[[1,2,3,8],[4,6,7],[5]]=>9
[4,3,8,7,1,2,5,6]=>[[1,3,7,8],[2,4],[5,6]]=>14
[5,3,8,7,1,2,4,6]=>[[1,3,7,8],[2,4],[5,6]]=>14
[8,3,7,6,1,2,4,5]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[8,4,7,6,1,2,3,5]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[3,5,8,7,1,2,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>9
[2,5,8,7,1,3,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>9
[6,8,4,7,5,1,2,3]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[5,8,7,1,6,2,3,4]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[2,8,7,6,1,3,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[3,8,7,6,1,2,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[4,8,7,6,1,2,3,5]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[5,6,3,1,4,2,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>13
[7,5,3,8,2,1,6,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>20
[3,8,7,4,5,1,6,2]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[2,1,7,8,5,3,6,4]=>[[1,3,4],[2,5,7],[6,8]]=>15
[5,7,3,8,1,2,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>15
[8,7,1,4,5,3,2,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[2,7,8,4,1,6,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[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]]=>16
[6,5,3,1,8,4,7,2]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[8,6,3,1,2,5,7,4]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[8,7,1,4,2,6,5,3]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[3,6,4,5,7,2,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>13
[5,3,2,7,4,6,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[7,5,3,6,2,4,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[6,3,2,5,1,8,4,7]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[8,5,3,6,2,7,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[8,2,6,3,4,7,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[7,2,6,3,4,5,8,1]=>[[1,3,5,6,7],[2],[4],[8]]=>16
[6,2,7,3,4,5,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>14
[4,2,5,7,3,6,8,1]=>[[1,3,4,7],[2,5,6],[8]]=>13
[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]]=>11
[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]]=>10
[6,5,3,1,2,8,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[8,6,5,2,3,7,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[8,5,2,1,7,3,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[7,5,2,1,8,3,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[1,6,3,2,8,4,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>10
[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]]=>19
[6,8,3,5,2,7,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[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]]=>12
[1,8,6,3,7,2,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[1,8,2,7,3,4,5,6]=>[[1,2,4,6,7,8],[3],[5]]=>11
[2,8,1,7,3,4,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>7
[3,8,6,1,7,2,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>10
[4,8,1,5,7,2,3,6]=>[[1,2,5,8],[3,4,7],[6]]=>12
[4,2,8,3,7,1,5,6]=>[[1,3,5,8],[2,4],[6,7]]=>17
[8,1,2,7,3,4,5,6]=>[[1,3,4,6,7,8],[2],[5]]=>12
[3,6,2,7,1,8,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>13
[6,3,7,1,2,8,4,5]=>[[1,3,6,8],[2,5,7],[4]]=>19
[7,2,6,1,8,3,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>16
[7,3,1,5,8,2,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>11
[3,2,1,5,8,4,6,7]=>[[1,4,5,8],[2,6,7],[3]]=>11
[5,4,1,3,6,8,2,7]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[1,5,3,4,6,8,2,7]=>[[1,2,4,5,6],[3,8],[7]]=>10
[4,3,5,1,6,8,2,7]=>[[1,3,5,6],[2,7,8],[4]]=>15
[5,4,6,3,8,7,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[3,6,4,5,8,7,1,2]=>[[1,2,4,5],[3,6],[7,8]]=>11
[6,5,3,4,8,7,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[5,3,2,8,7,1,4,6]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[5,3,1,8,7,2,4,6]=>[[1,4,7,8],[2,5],[3,6]]=>13
[8,5,3,7,6,1,2,4]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[6,1,8,3,7,2,4,5]=>[[1,3,5,8],[2,4],[6,7]]=>17
[6,3,8,1,7,2,4,5]=>[[1,3,7,8],[2,5],[4,6]]=>18
[7,6,8,2,3,5,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[3,7,8,2,4,6,1,5]=>[[1,2,3],[4,5,6],[7,8]]=>7
[6,7,3,8,2,5,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[5,4,7,8,2,6,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[4,2,5,8,7,1,3,6]=>[[1,3,4],[2,5,8],[6,7]]=>14
[2,3,8,7,1,4,5,6]=>[[1,2,3,7,8],[4,6],[5]]=>9
[7,2,8,6,1,3,4,5]=>[[1,3,7,8],[2,4],[5,6]]=>14
[2,1,8,7,3,4,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>13
[8,2,7,6,1,3,4,5]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[1,2,8,7,3,4,5,6]=>[[1,2,3,6,7,8],[4],[5]]=>6
[1,3,8,7,2,4,5,6]=>[[1,2,3,7,8],[4,6],[5]]=>9
[1,7,8,3,6,2,4,5]=>[[1,2,3,8],[4,5],[6,7]]=>7
[4,1,5,8,7,2,3,6]=>[[1,3,4,8],[2,5,7],[6]]=>14
[5,4,8,7,6,1,2,3]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[6,8,3,7,5,1,2,4]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[7,8,6,2,5,1,3,4]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[8,1,6,7,3,2,5,4]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[8,1,6,7,3,2,4,5]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[8,1,5,3,7,2,4,6]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[8,1,5,3,6,2,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[7,5,1,3,6,2,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[7,5,8,3,6,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[7,4,8,3,2,6,5,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>22
[7,4,1,3,2,6,5,8]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[8,1,4,3,2,6,5,7]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[8,1,4,3,2,7,5,6]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[8,1,4,3,2,7,6,5]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[8,1,5,4,6,7,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[8,1,5,3,6,2,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,1,4,3,2,6,7,5]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[8,1,4,3,2,5,7,6]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[8,1,4,3,2,5,6,7]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[7,4,1,3,2,5,6,8]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[7,4,8,3,2,5,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[6,4,3,8,2,5,7,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[6,4,3,1,2,5,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[7,4,1,3,2,5,8,6]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[7,4,1,3,2,6,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[7,5,1,3,6,2,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[7,5,1,4,6,8,2,3]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[7,5,8,3,6,2,1,4]=>[[1,3],[2,5],[4,8],[6],[7]]=>24
[7,4,8,3,2,6,1,5]=>[[1,3],[2,6],[4,8],[5],[7]]=>23
[7,4,8,3,2,5,1,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[6,4,3,8,2,5,1,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[6,4,3,7,2,5,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[5,4,3,2,8,6,1,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[5,4,3,2,8,7,1,6]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[6,5,3,8,7,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[6,5,4,8,7,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[6,5,4,1,7,8,2,3]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[6,5,3,1,7,2,8,4]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[6,4,3,1,2,7,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[5,4,3,2,1,8,6,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[6,5,3,1,8,2,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[6,5,4,1,8,7,2,3]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[7,5,1,4,8,6,2,3]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[7,4,1,3,2,8,6,5]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[7,4,1,3,2,8,5,6]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[6,4,3,1,2,8,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[6,4,3,1,2,7,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[6,4,3,8,2,7,5,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[6,5,3,8,7,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[6,5,3,1,7,2,4,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[6,5,3,1,8,2,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[7,5,1,3,8,2,4,6]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[7,6,1,8,3,2,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[7,6,1,8,4,5,2,3]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[7,6,8,1,4,5,2,3]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[7,6,8,1,3,2,5,4]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[6,5,3,7,8,2,4,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[6,4,3,7,2,8,5,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[6,4,3,7,2,1,5,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[7,4,8,3,2,1,5,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[7,4,8,3,2,1,6,5]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[7,5,8,3,1,2,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[7,5,8,4,1,6,2,3]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[6,5,4,8,1,7,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[6,5,3,8,1,2,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[5,4,3,2,8,1,7,6]=>[[1,5],[2,7],[3,8],[4],[6]]=>19
[6,4,3,7,2,1,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[6,5,3,7,1,2,8,4]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[6,5,4,7,1,8,2,3]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[6,5,3,7,8,2,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[6,4,3,7,2,8,1,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[5,4,3,2,7,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[5,4,3,2,6,8,1,7]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[5,6,2,1,3,4,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>12
[5,3,7,8,2,1,4,6]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[7,6,1,2,5,8,3,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[2,1,7,8,4,3,5,6]=>[[1,3,4,8],[2,5,7],[6]]=>14
[7,8,1,2,5,4,6,3]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[8,4,1,3,7,6,2,5]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[6,5,2,1,8,7,4,3]=>[[1,5],[2,6],[3,7],[4,8]]=>16
[4,7,2,8,1,3,6,5]=>[[1,2,4],[3,6,7],[5,8]]=>15
[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]]=>9
[1,8,2,4,3,5,6,7]=>[[1,2,4,6,7,8],[3],[5]]=>11
[1,7,2,4,3,5,6,8]=>[[1,2,4,6,7,8],[3],[5]]=>11
[1,6,2,4,3,5,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>11
[1,5,2,4,3,6,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>11
[1,6,2,5,3,4,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>11
[1,7,2,5,3,4,6,8]=>[[1,2,4,6,7,8],[3],[5]]=>11
[1,8,2,5,3,4,6,7]=>[[1,2,4,6,7,8],[3],[5]]=>11
[1,8,2,6,3,4,5,7]=>[[1,2,4,6,7,8],[3],[5]]=>11
[1,7,2,6,3,4,5,8]=>[[1,2,4,6,7,8],[3],[5]]=>11
[1,8,2,7,3,5,4,6]=>[[1,2,4,6,8],[3],[5],[7]]=>15
[1,7,2,8,3,5,4,6]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,6,2,8,3,5,4,7]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,5,2,8,3,6,4,7]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,4,2,8,3,6,5,7]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,3,2,8,4,6,5,7]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,2,3,8,4,6,5,7]=>[[1,2,3,4,6,8],[5],[7]]=>7
[1,2,3,7,4,6,5,8]=>[[1,2,3,4,6,8],[5],[7]]=>7
[1,3,2,7,4,6,5,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,4,2,7,3,6,5,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,5,2,7,3,6,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,6,2,7,3,5,4,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,7,2,6,3,5,4,8]=>[[1,2,4,6,8],[3],[5],[7]]=>15
[1,8,2,6,3,5,4,7]=>[[1,2,4,6,8],[3],[5],[7]]=>15
[1,8,2,5,3,6,4,7]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,7,2,5,3,6,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,6,2,5,3,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,5,2,4,3,7,6,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,6,2,4,3,7,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,7,2,4,3,6,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,8,2,4,3,6,5,7]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,8,2,3,4,6,5,7]=>[[1,2,4,5,6,8],[3],[7]]=>9
[1,7,2,3,4,6,5,8]=>[[1,2,4,5,6,8],[3],[7]]=>9
[1,8,2,3,4,7,5,6]=>[[1,2,4,5,6,8],[3],[7]]=>9
[1,8,2,4,3,7,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,7,2,4,3,8,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,6,2,4,3,8,5,7]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,5,2,4,3,8,6,7]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,6,2,5,3,8,4,7]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,7,2,5,3,8,4,6]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,8,2,5,3,7,4,6]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,8,2,6,3,7,4,5]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,7,2,6,3,8,4,5]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,2,3,8,4,7,5,6]=>[[1,2,3,4,6,8],[5],[7]]=>7
[1,3,2,8,4,7,5,6]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,4,2,8,3,7,5,6]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,5,2,8,3,7,4,6]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,6,2,8,3,7,4,5]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,7,2,8,3,6,4,5]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,8,2,7,3,6,4,5]=>[[1,2,4,6,8],[3],[5],[7]]=>15
[4,6,3,7,2,5,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[4,6,3,7,5,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[4,6,3,8,5,1,7,2]=>[[1,2,4],[3,5,7],[6,8]]=>14
[4,6,3,8,5,1,2,7]=>[[1,2,4],[3,5,8],[6,7]]=>13
[5,6,8,3,4,1,2,7]=>[[1,2,3],[4,5,8],[6,7]]=>8
[5,6,8,3,4,1,7,2]=>[[1,2,3],[4,5,7],[6,8]]=>9
[4,6,2,7,5,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[5,6,7,2,4,3,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[5,6,8,4,3,1,7,2]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[5,6,8,4,3,1,2,7]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[5,7,8,4,1,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>11
[5,7,8,4,1,6,3,2]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[5,7,8,4,1,3,6,2]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[5,6,8,4,2,1,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[5,6,8,2,4,1,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>9
[4,6,2,8,5,1,7,3]=>[[1,2,4],[3,5,7],[6,8]]=>14
[3,2,6,8,5,1,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>15
[3,2,6,8,5,1,4,7]=>[[1,3,4],[2,5,8],[6,7]]=>14
[4,6,2,8,5,1,3,7]=>[[1,2,4],[3,5,8],[6,7]]=>13
[5,6,8,2,4,1,3,7]=>[[1,2,3],[4,5,8],[6,7]]=>8
[5,6,8,4,2,1,3,7]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[5,7,8,4,1,3,2,6]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[5,7,8,4,1,2,6,3]=>[[1,2,3],[4,6,7],[5,8]]=>10
[5,7,8,4,1,2,3,6]=>[[1,2,3,8],[4,6,7],[5]]=>9
[6,7,8,1,5,2,3,4]=>[[1,2,3,8],[4,5,7],[6]]=>8
[6,7,8,1,5,2,4,3]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[6,7,8,1,5,3,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[6,7,8,1,3,5,2,4]=>[[1,2,3],[4,5,6],[7,8]]=>7
[5,7,8,2,1,6,3,4]=>[[1,2,3],[4,6,8],[5,7]]=>11
[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]]=>17
[3,2,7,8,1,6,5,4]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[4,7,2,8,1,6,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[5,7,8,2,1,6,4,3]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[6,7,8,1,3,5,4,2]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[6,7,8,1,5,3,4,2]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[6,7,8,1,5,4,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[6,7,8,1,5,4,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[6,7,8,1,4,5,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>7
[6,7,8,1,4,5,3,2]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[6,7,8,1,4,3,5,2]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[6,7,8,1,3,4,5,2]=>[[1,2,3,7],[4,5,6],[8]]=>7
[5,7,8,2,1,4,6,3]=>[[1,2,3],[4,6,7],[5,8]]=>10
[4,7,2,8,1,5,6,3]=>[[1,2,4],[3,6,7],[5,8]]=>15
[3,2,7,8,1,5,6,4]=>[[1,3,4],[2,6,7],[5,8]]=>16
[3,2,6,8,4,1,7,5]=>[[1,3,4],[2,5,7],[6,8]]=>15
[4,6,2,8,3,1,7,5]=>[[1,2,4],[3,5,7],[6,8]]=>14
[5,6,8,3,2,1,7,4]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[5,7,8,3,1,4,6,2]=>[[1,2,3],[4,6,7],[5,8]]=>10
[5,7,8,3,1,6,4,2]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[5,7,8,3,1,6,2,4]=>[[1,2,3],[4,6,8],[5,7]]=>11
[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]]=>17
[4,7,3,8,1,5,6,2]=>[[1,2,4],[3,6,7],[5,8]]=>15
[4,6,3,8,2,1,7,5]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[4,5,3,2,8,1,7,6]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[4,5,2,3,8,1,7,6]=>[[1,2,5],[3,4,7],[6,8]]=>13
[3,2,5,4,8,1,7,6]=>[[1,3,5],[2,4,7],[6,8]]=>19
[4,5,3,2,8,1,6,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[4,6,3,8,2,1,5,7]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[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]]=>15
[4,7,3,8,1,2,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>14
[5,7,8,3,1,2,4,6]=>[[1,2,3,8],[4,6,7],[5]]=>9
[5,7,8,3,1,2,6,4]=>[[1,2,3],[4,6,7],[5,8]]=>10
[5,7,8,3,1,4,2,6]=>[[1,2,3],[4,6,8],[5,7]]=>11
[5,6,8,3,2,1,4,7]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[3,2,7,8,1,5,4,6]=>[[1,3,4],[2,6,8],[5,7]]=>17
[5,7,8,2,1,4,3,6]=>[[1,2,3],[4,6,8],[5,7]]=>11
[6,7,8,1,3,4,2,5]=>[[1,2,3,8],[4,5,6],[7]]=>6
[6,7,8,1,4,3,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[6,7,8,1,4,2,5,3]=>[[1,2,3],[4,5,7],[6,8]]=>9
[6,7,8,1,4,2,3,5]=>[[1,2,3,8],[4,5,7],[6]]=>8
[6,7,8,1,2,5,3,4]=>[[1,2,3,8],[4,5,6],[7]]=>6
[6,7,8,1,2,5,4,3]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[6,7,8,1,2,4,5,3]=>[[1,2,3,7],[4,5,6],[8]]=>7
[6,7,8,1,3,2,5,4]=>[[1,2,3],[4,5,7],[6,8]]=>9
[5,7,8,2,1,3,6,4]=>[[1,2,3],[4,6,7],[5,8]]=>10
[3,2,7,8,1,4,6,5]=>[[1,3,4],[2,6,7],[5,8]]=>16
[6,7,8,1,3,2,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>8
[6,7,8,1,2,4,3,5]=>[[1,2,3,8],[4,5,6],[7]]=>6
[6,7,8,1,2,3,5,4]=>[[1,2,3,7],[4,5,6],[8]]=>7
[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]]=>8
[1,3,7,5,4,2,6,8]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[7,2,8,5,4,1,6,3]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[2,8,5,4,3,1,7,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[2,8,4,5,6,1,7,3]=>[[1,2,4,5,7],[3,8],[6]]=>11
[2,8,6,5,7,3,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[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]]=>16
[1,6,3,7,5,2,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>12
[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]]=>17
[7,4,8,2,5,6,3,1]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[7,4,8,5,2,1,3,6]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[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]]=>17
[4,3,7,5,1,2,8,6]=>[[1,3,7],[2,4,8],[5,6]]=>15
[4,3,7,1,5,6,8,2]=>[[1,3,6,7],[2,5],[4,8]]=>19
[3,6,1,7,5,2,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>12
[3,4,1,2,7,6,8,5]=>[[1,2,5,7],[3,4,6],[8]]=>11
[3,4,2,1,7,5,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>11
[3,6,5,7,1,4,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[6,5,2,7,4,1,8,3]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[3,5,2,6,4,8,7,1]=>[[1,2,4,6],[3,5,7],[8]]=>13
[5,3,1,8,6,4,7,2]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[5,6,1,8,7,2,4,3]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[6,3,5,8,2,7,4,1]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[6,5,8,4,2,3,7,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[6,2,5,8,3,7,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[1,6,5,7,3,4,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[1,5,2,7,4,6,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[5,2,1,8,7,6,3,4]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[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]]=>6
[2,3,4,8,6,5,1,7]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[2,7,3,5,8,6,1,4]=>[[1,2,4,5],[3,6],[7,8]]=>11
[3,2,4,7,8,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>12
[1,5,4,6,2,7,3,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[5,2,4,7,1,8,3,6]=>[[1,3,4,6],[2,7,8],[5]]=>14
[5,3,6,4,1,8,7,2]=>[[1,3,6],[2,4,7],[5,8]]=>16
[5,3,6,1,4,8,2,7]=>[[1,3,6],[2,5,8],[4,7]]=>21
[7,3,5,6,8,4,2,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[6,3,5,1,8,2,7,4]=>[[1,3,5],[2,6,7],[4,8]]=>17
[2,6,1,5,8,4,7,3]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[2,7,6,5,8,3,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[5,7,1,6,3,8,4,2]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[3,2,4,1,7,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>15
[3,1,4,2,7,8,6,5]=>[[1,3,5,6],[2,4,7],[8]]=>15
[5,1,4,7,2,8,6,3]=>[[1,3,4,6],[2,7],[5,8]]=>15
[3,6,4,7,8,2,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[3,1,4,6,8,5,7,2]=>[[1,3,4,5],[2,6,7],[8]]=>11
[6,3,4,5,7,1,8,2]=>[[1,3,4,5,7],[2,8],[6]]=>12
[2,5,4,6,1,7,8,3]=>[[1,2,4,6,7],[3,8],[5]]=>12
[7,2,1,4,3,6,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>14
[7,3,4,1,2,6,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>19
[7,4,3,2,1,6,5,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[7,6,3,2,5,4,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[6,7,3,2,5,4,8,1]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[1,8,3,2,5,4,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>11
[1,8,4,5,2,3,7,6]=>[[1,2,4,7],[3,6,8],[5]]=>15
[7,3,5,1,6,2,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>16
[7,2,1,5,6,3,4,8]=>[[1,4,5,8],[2,6,7],[3]]=>11
[7,2,1,6,5,4,3,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[7,3,6,1,5,4,2,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[7,4,6,5,1,3,2,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[1,8,5,4,3,2,7,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[1,8,6,4,3,7,2,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[6,5,7,4,3,1,8,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[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]]=>21
[6,2,1,7,5,4,8,3]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[3,2,1,8,5,4,7,6]=>[[1,4,7],[2,5,8],[3,6]]=>14
[2,5,8,4,3,1,7,6]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[2,6,8,4,3,7,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[2,7,8,4,3,6,5,1]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[1,8,7,4,3,6,5,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[1,8,7,5,6,3,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[2,7,8,5,6,3,4,1]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[2,6,8,5,7,3,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[2,5,8,6,7,1,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>11
[2,4,8,6,1,7,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>8
[3,2,1,8,6,7,4,5]=>[[1,4,6],[2,5,8],[3,7]]=>16
[5,3,7,1,6,8,4,2]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[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]]=>13
[4,6,7,5,8,3,1,2]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[1,8,6,5,7,3,2,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[1,8,5,6,7,2,3,4]=>[[1,2,4,5],[3,7,8],[6]]=>12
[4,6,5,7,8,2,1,3]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[5,4,6,7,1,8,2,3]=>[[1,3,4,6],[2,7,8],[5]]=>14
[5,3,6,1,7,8,2,4]=>[[1,3,5,6],[2,7,8],[4]]=>15
[5,2,1,6,7,8,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>10
[6,2,1,5,7,3,8,4]=>[[1,4,5,7],[2,6,8],[3]]=>12
[6,3,5,1,7,2,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>17
[6,4,5,7,1,2,8,3]=>[[1,3,4,7],[2,6,8],[5]]=>16
[6,5,4,7,2,1,8,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[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]]=>13
[1,8,3,2,6,7,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>9
[5,7,3,2,6,8,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[5,6,3,2,7,8,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[6,5,3,2,7,1,8,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[6,4,3,2,1,7,8,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[6,2,1,4,3,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>13
[4,6,3,2,8,7,1,5]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[4,7,3,2,8,6,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[1,8,3,2,7,6,5,4]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[1,8,4,7,2,6,5,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[3,6,4,8,2,7,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[3,4,5,8,1,2,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>5
[4,3,5,1,8,2,7,6]=>[[1,3,5],[2,6,7],[4,8]]=>17
[4,2,1,5,8,3,7,6]=>[[1,4,5],[2,6,7],[3,8]]=>12
[4,2,1,6,8,7,3,5]=>[[1,4,5],[2,6,8],[3,7]]=>13
[3,4,6,8,1,7,2,5]=>[[1,2,3,4],[5,6,8],[7]]=>6
[3,5,6,8,7,1,2,4]=>[[1,2,3,4],[5,7,8],[6]]=>7
[3,6,5,8,7,2,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[1,8,5,7,6,2,4,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[1,8,6,7,5,4,2,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[3,6,7,8,5,4,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[3,5,7,8,6,1,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[3,4,7,8,1,6,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[4,2,1,7,8,6,5,3]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[2,3,8,1,7,6,5,4]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[2,4,8,7,1,6,5,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[7,4,6,1,8,3,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[8,3,5,1,7,4,6,2]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[8,3,4,1,7,5,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[4,8,3,1,7,5,6,2]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[4,6,2,1,7,5,8,3]=>[[1,2,5,7],[3,6],[4,8]]=>12
[1,4,6,2,7,5,8,3]=>[[1,2,3,5,7],[4,6],[8]]=>10
[1,7,5,2,6,8,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[7,5,2,1,6,8,4,3]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[6,8,4,3,1,7,5,2]=>[[1,2],[3,6],[4,7],[5,8]]=>15
[3,6,8,4,1,7,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[3,6,7,5,1,8,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[7,5,6,1,8,3,4,2]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[3,4,6,5,7,1,8,2]=>[[1,2,3,5,7],[4,8],[6]]=>10
[4,7,5,6,1,8,3,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[6,7,5,1,8,4,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[6,8,4,1,7,5,3,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[6,7,5,3,1,8,4,2]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[8,4,2,1,6,7,5,3]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[1,8,4,2,6,7,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[1,5,3,2,7,6,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>12
[5,3,2,1,7,6,8,4]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[2,5,3,1,7,6,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>12
[2,8,4,1,6,7,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[2,7,5,1,6,8,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[2,4,6,1,7,5,8,3]=>[[1,2,3,5,7],[4,6],[8]]=>10
[4,7,1,6,5,8,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[4,8,2,6,5,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[4,6,1,2,7,5,8,3]=>[[1,2,5,7],[3,4,6],[8]]=>11
[7,5,1,2,6,8,4,3]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[8,4,1,2,6,7,5,3]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[5,3,1,2,7,6,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>13
[1,2,5,3,7,6,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>10
[4,3,1,2,7,6,8,5]=>[[1,4,5,7],[2,6],[3,8]]=>13
[3,5,1,2,7,6,8,4]=>[[1,2,5,7],[3,4,6],[8]]=>11
[6,7,1,5,8,2,3,4]=>[[1,2,5,8],[3,4,7],[6]]=>12
[2,7,6,1,5,8,3,4]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[2,3,5,1,7,6,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>10
[7,6,1,5,8,3,2,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[3,6,7,1,5,8,2,4]=>[[1,2,3,6],[4,5,8],[7]]=>9
[7,1,6,5,8,2,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[7,5,1,6,8,4,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[8,4,1,6,7,5,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[5,2,3,1,7,6,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>18
[3,5,2,1,7,6,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>12
[1,3,5,2,7,6,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>10
[1,7,6,2,5,8,3,4]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[7,6,2,1,5,8,3,4]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[8,3,1,5,7,6,2,4]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[6,2,4,1,7,5,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>18
[6,2,5,1,7,4,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[7,1,6,4,8,2,5,3]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[8,2,6,4,7,1,5,3]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[6,1,5,2,7,4,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[7,6,2,5,8,3,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[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]]=>13
[1,5,2,3,7,6,8,4]=>[[1,2,4,5,7],[3,6],[8]]=>11
[5,2,1,3,7,6,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>13
[7,5,2,6,8,4,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[8,4,2,6,7,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[6,1,4,2,7,5,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>18
[8,2,6,5,7,1,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[3,6,8,2,5,7,1,4]=>[[1,2,3],[4,5,6],[7,8]]=>7
[8,3,2,5,7,6,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[5,1,3,2,7,6,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>18
[4,1,3,2,7,6,8,5]=>[[1,3,5,7],[2,6],[4,8]]=>18
[4,2,1,3,7,6,8,5]=>[[1,4,5,7],[2,6],[3,8]]=>13
[1,4,2,3,7,6,8,5]=>[[1,2,4,5,7],[3,6],[8]]=>11
[2,4,1,3,7,6,8,5]=>[[1,2,5,7],[3,4,6],[8]]=>11
[2,5,1,3,7,6,8,4]=>[[1,2,5,7],[3,4,6],[8]]=>11
[2,8,3,5,7,6,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[6,8,2,3,5,7,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>10
[6,7,1,3,5,8,2,4]=>[[1,2,5,6],[3,4],[7,8]]=>10
[8,3,5,7,6,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[5,1,2,3,7,6,8,4]=>[[1,3,4,5,7],[2,6],[8]]=>12
[3,1,2,4,7,6,8,5]=>[[1,3,4,5,7],[2,6],[8]]=>12
[8,1,2,4,3,6,5,7]=>[[1,3,4,6,8],[2,7],[5]]=>14
[8,1,3,5,6,2,7,4]=>[[1,3,4,5,7],[2,8],[6]]=>12
[8,1,3,4,2,6,7,5]=>[[1,3,4,6,7],[2,8],[5]]=>13
[8,1,3,2,4,5,7,6]=>[[1,3,5,6,7],[2,8],[4]]=>14
[2,7,8,3,4,5,6,1]=>[[1,2,3,6,7],[4,5],[8]]=>7
[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]]=>11
[7,3,1,4,2,6,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>13
[7,4,1,5,6,8,2,3]=>[[1,4,5,6],[2,7,8],[3]]=>10
[4,7,8,5,6,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>8
[3,7,8,5,6,2,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[3,7,8,4,2,6,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[3,7,8,2,4,5,1,6]=>[[1,2,3,8],[4,5,6],[7]]=>6
[3,6,2,8,4,5,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>11
[2,3,6,7,4,5,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>6
[3,5,2,4,8,6,1,7]=>[[1,2,5,8],[3,4,6],[7]]=>10
[3,5,4,2,8,7,1,6]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[4,6,5,8,7,1,2,3]=>[[1,2,4],[3,5,8],[6,7]]=>13
[6,4,5,1,7,8,2,3]=>[[1,3,5,6],[2,7,8],[4]]=>15
[7,4,1,2,3,8,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>10
[6,2,4,1,3,7,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>19
[2,6,4,8,3,7,5,1]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[2,6,5,8,7,3,4,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[6,2,5,1,7,3,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>16
[6,5,2,1,8,3,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[2,5,6,7,8,3,4,1]=>[[1,2,3,4,5],[6,7],[8]]=>4
[2,4,6,7,3,8,5,1]=>[[1,2,3,4,6],[5,7],[8]]=>7
[4,2,6,7,3,1,5,8]=>[[1,3,4,8],[2,5,7],[6]]=>14
[4,7,8,2,3,1,5,6]=>[[1,2,3,8],[4,5,7],[6]]=>8
[4,7,8,3,2,1,6,5]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[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]]=>15
[4,2,5,3,7,1,6,8]=>[[1,3,5,8],[2,4,7],[6]]=>18
[4,3,6,7,2,1,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[3,4,6,7,2,8,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>8
[3,4,5,2,7,8,1,6]=>[[1,2,3,5,6],[4,8],[7]]=>9
[3,4,2,5,6,8,1,7]=>[[1,2,4,5,6],[3,8],[7]]=>10
[5,2,7,8,6,4,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[5,1,2,7,8,6,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[4,7,1,8,6,5,2,3]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[4,7,1,2,8,6,5,3]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[4,6,8,1,2,7,5,3]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[6,8,7,1,5,3,2,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[6,8,7,3,5,1,2,4]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[7,8,1,6,3,5,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[7,8,1,3,6,5,2,4]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[7,8,3,6,5,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[4,7,2,8,6,1,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[1,7,3,4,8,6,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[4,2,7,1,8,6,5,3]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[7,8,2,3,6,5,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[8,5,7,1,6,2,3,4]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[8,5,7,1,2,6,3,4]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[6,8,2,7,1,3,5,4]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[6,8,7,2,5,3,1,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[6,2,4,8,7,1,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[1,6,8,3,7,4,5,2]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[1,6,8,3,4,7,5,2]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[6,2,4,8,1,7,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[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]]=>15
[8,5,7,2,1,6,3,4]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[8,5,7,1,2,3,6,4]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[8,7,6,2,1,4,3,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[8,5,7,2,3,1,6,4]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[5,8,4,2,7,1,6,3]=>[[1,2],[3,5],[4,7],[6,8]]=>18
[1,8,7,5,3,4,6,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>13
[1,8,7,3,5,4,6,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>16
[8,2,5,4,7,1,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[8,5,2,7,3,1,6,4]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[8,7,6,2,4,3,1,5]=>[[1,5,8],[2],[3],[4],[6],[7]]=>20
[8,7,6,1,2,4,3,5]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[8,7,6,1,4,2,3,5]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[8,7,6,4,1,3,2,5]=>[[1,6,8],[2],[3],[4],[5],[7]]=>19
[5,8,4,7,2,1,6,3]=>[[1,2],[3,4],[5,7],[6,8]]=>14
[1,8,7,5,4,3,6,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>17
[1,6,8,4,3,7,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[6,8,7,3,2,5,1,4]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[6,8,1,7,3,2,5,4]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[8,5,7,3,1,6,2,4]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[8,5,7,1,3,2,6,4]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[8,5,7,3,1,2,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[5,8,4,7,1,2,6,3]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[5,8,4,1,7,2,6,3]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[5,8,4,7,1,6,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[8,1,2,6,5,7,4,3]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[8,2,5,6,7,4,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[4,8,5,7,1,6,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[4,8,5,7,1,2,6,3]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[4,8,5,1,7,2,6,3]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[8,5,3,1,7,2,6,4]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[8,5,3,7,1,2,6,4]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[6,8,1,3,7,2,5,4]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[4,6,2,8,1,7,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[1,6,4,8,3,7,5,2]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[1,8,7,4,5,3,6,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>16
[4,8,5,7,2,1,6,3]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[8,5,3,7,2,1,6,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>20
[8,7,6,3,1,4,2,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[8,7,6,1,3,2,4,5]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[8,5,3,2,7,1,6,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>19
[4,8,5,2,7,1,6,3]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[1,8,7,4,3,5,6,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>13
[1,8,7,3,4,5,6,2]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[8,2,4,5,7,1,6,3]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[8,5,2,3,7,1,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[6,3,1,5,4,2,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[8,3,1,5,2,7,6,4]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[8,5,4,2,1,7,3,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[8,5,4,2,1,7,6,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[6,5,4,2,1,3,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[6,5,4,2,3,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[6,3,2,5,1,4,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[6,5,4,3,1,2,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[6,5,4,1,3,2,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[8,5,4,1,2,7,6,3]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[8,7,4,1,6,3,2,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[8,7,4,1,6,3,5,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[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]]=>16
[8,3,2,5,1,7,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[2,1,8,5,3,7,6,4]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[8,3,2,5,1,7,4,6]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[8,5,4,3,1,7,2,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[8,5,4,1,3,7,2,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[8,7,4,1,6,5,2,3]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[8,7,4,1,6,2,5,3]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[8,7,6,5,2,1,4,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>18
[8,7,4,3,6,2,1,5]=>[[1,5],[2,8],[3],[4],[6],[7]]=>21
[8,3,2,7,6,4,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[2,1,8,7,6,4,3,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[2,1,8,7,6,4,5,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[8,3,2,7,6,4,5,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[8,7,4,3,6,2,5,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[8,7,6,5,2,4,3,1]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>24
[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]]=>17
[8,7,4,2,6,3,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[8,3,1,7,6,4,2,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[8,3,1,7,6,4,5,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[8,3,1,7,6,5,4,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>21
[8,3,1,5,4,7,6,2]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[8,3,1,5,4,7,2,6]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[8,3,1,7,6,5,2,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[8,3,1,7,6,2,5,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[8,7,4,2,6,1,5,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>19
[8,7,4,2,6,5,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[8,5,4,2,3,7,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[8,3,2,5,4,7,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[2,1,8,5,4,7,3,6]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[8,3,2,7,6,5,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[8,7,4,3,6,5,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[8,7,6,5,3,1,4,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>18
[8,7,6,5,1,3,2,4]=>[[1,6,8],[2],[3],[4],[5],[7]]=>19
[8,7,6,5,1,3,4,2]=>[[1,6,7],[2],[3],[4],[5],[8]]=>18
[8,7,6,5,1,4,3,2]=>[[1,6],[2],[3],[4],[5],[7],[8]]=>24
[8,7,6,5,4,1,3,2]=>[[1,7],[2],[3],[4],[5],[6],[8]]=>23
[8,7,4,3,6,1,5,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>19
[8,3,2,7,6,1,5,4]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[2,1,8,7,6,3,5,4]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[8,3,2,7,6,1,4,5]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[8,7,6,5,1,4,2,3]=>[[1,6,8],[2],[3],[4],[5],[7]]=>19
[8,7,6,5,1,2,4,3]=>[[1,6,7],[2],[3],[4],[5],[8]]=>18
[7,3,5,1,8,4,6,2]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[7,3,4,1,8,5,6,2]=>[[1,3,5,7],[2,6],[4,8]]=>18
[4,5,6,2,1,8,7,3]=>[[1,2,3,6],[4,7],[5,8]]=>9
[1,6,5,2,7,4,3,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[7,4,3,1,8,6,5,2]=>[[1,5],[2,6],[3,7],[4,8]]=>16
[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]]=>17
[6,4,2,1,8,7,5,3]=>[[1,5],[2,6],[3,7],[4,8]]=>16
[1,6,4,2,7,5,3,8]=>[[1,2,5,8],[3,6],[4,7]]=>11
[1,5,3,2,7,6,4,8]=>[[1,2,5,8],[3,6],[4,7]]=>11
[5,3,2,1,8,7,6,4]=>[[1,5],[2,6],[3,7],[4,8]]=>16
[2,5,3,1,7,8,6,4]=>[[1,2,5,6],[3,7],[4,8]]=>10
[2,6,4,1,7,8,5,3]=>[[1,2,5,6],[3,7],[4,8]]=>10
[2,6,5,1,7,8,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[4,5,7,1,6,8,2,3]=>[[1,2,3,6],[4,5,8],[7]]=>9
[6,5,1,2,8,4,3,7]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[6,4,1,2,8,5,3,7]=>[[1,4,5,8],[2,6],[3,7]]=>12
[5,3,1,2,8,6,4,7]=>[[1,4,5,8],[2,6],[3,7]]=>12
[4,3,1,2,8,6,5,7]=>[[1,4,5,8],[2,6],[3,7]]=>12
[6,1,2,5,8,3,4,7]=>[[1,3,4,5,8],[2,7],[6]]=>13
[7,1,3,4,8,2,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>13
[7,1,5,6,8,2,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>13
[2,6,1,5,7,8,3,4]=>[[1,2,5,6],[3,4,8],[7]]=>10
[7,4,1,6,8,5,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[5,2,3,1,8,6,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>18
[3,5,2,1,6,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>10
[1,6,2,5,7,3,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>12
[6,2,1,5,8,7,3,4]=>[[1,4,5],[2,6,8],[3,7]]=>13
[7,3,1,5,8,6,2,4]=>[[1,4,5],[2,6,8],[3,7]]=>13
[6,2,4,1,8,5,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>18
[6,2,5,1,8,4,7,3]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[7,3,1,4,8,6,2,5]=>[[1,4,5],[2,6,8],[3,7]]=>13
[6,2,1,4,8,7,3,5]=>[[1,4,5],[2,6,8],[3,7]]=>13
[1,6,2,4,7,3,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>12
[5,2,1,3,8,7,4,6]=>[[1,4,5,8],[2,6],[3,7]]=>12
[7,4,1,3,8,5,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[7,5,1,3,8,4,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[3,6,7,1,4,8,2,5]=>[[1,2,3,6],[4,5,8],[7]]=>9
[7,6,1,4,8,3,2,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[4,2,1,3,8,7,5,6]=>[[1,4,5,8],[2,6],[3,7]]=>12
[2,6,1,4,7,8,3,5]=>[[1,2,5,6],[3,4,8],[7]]=>10
[7,1,4,6,8,2,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>13
[7,1,3,5,8,2,4,6]=>[[1,3,4,5],[2,7,8],[6]]=>13
[6,1,2,4,8,3,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>13
[5,2,3,1,6,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>17
[7,4,5,2,3,1,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[8,6,7,3,5,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[7,3,5,2,4,1,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[6,3,5,2,4,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[5,2,4,1,6,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>17
[4,1,6,3,5,2,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>17
[6,3,4,1,5,2,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>17
[5,2,6,3,4,1,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>17
[5,2,7,3,4,1,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>17
[5,2,8,6,7,3,4,1]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[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]]=>17
[7,3,4,1,5,2,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>17
[4,1,7,3,5,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>17
[3,1,7,4,5,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>17
[2,1,7,4,5,3,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>17
[3,1,8,6,7,4,5,2]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[4,1,8,6,7,3,5,2]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[8,6,7,3,4,1,5,2]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[8,5,7,3,4,1,6,2]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[8,5,6,2,7,3,4,1]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[8,4,7,3,5,1,6,2]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[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]]=>20
[3,1,8,5,7,4,6,2]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[2,1,8,5,7,4,6,3]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[2,1,7,4,6,3,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>17
[3,1,7,4,6,2,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>17
[4,1,7,3,6,2,8,5]=>[[1,3,5,7],[2,4],[6,8]]=>18
[5,1,7,3,6,2,8,4]=>[[1,3,5,7],[2,4],[6,8]]=>18
[6,2,7,3,5,1,8,4]=>[[1,3,5,7],[2,4],[6,8]]=>18
[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]]=>25
[7,3,6,2,5,1,8,4]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[6,2,5,1,7,3,8,4]=>[[1,3,5,7],[2,6,8],[4]]=>17
[5,2,4,1,7,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>17
[6,2,4,1,7,3,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>17
[8,5,7,3,6,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[8,5,7,4,6,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[7,4,6,2,3,1,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[6,2,3,1,7,4,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>17
[5,2,3,1,7,4,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>17
[4,2,3,1,7,5,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>17
[3,1,4,2,8,6,7,5]=>[[1,3,5,7],[2,4,6],[8]]=>17
[6,2,3,1,8,5,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>18
[8,5,6,2,3,1,7,4]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[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]]=>21
[5,2,4,1,8,6,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>18
[4,1,5,2,8,6,7,3]=>[[1,3,5,7],[2,4,6],[8]]=>17
[3,1,5,2,8,6,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>17
[2,1,6,3,8,5,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>17
[3,1,6,2,8,5,7,4]=>[[1,3,5,7],[2,4,6],[8]]=>17
[4,1,6,2,8,5,7,3]=>[[1,3,5,7],[2,4,6],[8]]=>17
[5,1,6,2,8,4,7,3]=>[[1,3,5,7],[2,4,6],[8]]=>17
[8,4,6,2,5,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[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]]=>17
[8,4,5,1,6,2,7,3]=>[[1,3,5,7],[2,6,8],[4]]=>17
[5,1,8,4,6,2,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>18
[4,1,8,5,6,2,7,3]=>[[1,3,5,7],[2,4,8],[6]]=>17
[3,1,8,5,6,2,7,4]=>[[1,3,5,7],[2,4,8],[6]]=>17
[2,1,8,5,6,3,7,4]=>[[1,3,5,7],[2,4,8],[6]]=>17
[2,1,7,4,8,5,6,3]=>[[1,3,5,7],[2,4,6],[8]]=>17
[3,1,7,4,8,5,6,2]=>[[1,3,5,7],[2,4,6],[8]]=>17
[4,1,7,3,8,5,6,2]=>[[1,3,5,7],[2,4,6],[8]]=>17
[7,3,8,4,5,1,6,2]=>[[1,3,5,7],[2,4],[6,8]]=>18
[8,4,5,1,7,3,6,2]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[7,3,6,2,8,4,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[7,8,5,6,1,3,4,2]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[7,8,1,3,6,2,5,4]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[1,3,8,4,7,2,5,6]=>[[1,2,3,5,8],[4,7],[6]]=>11
[3,6,1,4,7,2,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>12
[4,6,1,2,5,7,3,8]=>[[1,2,5,6,8],[3,4],[7]]=>9
[1,4,8,2,5,7,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>9
[7,8,2,4,5,6,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>10
[7,8,1,5,4,6,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[7,8,2,1,6,3,4,5]=>[[1,2,7,8],[3,5],[4,6]]=>12
[7,8,3,5,6,4,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[7,8,1,4,2,3,6,5]=>[[1,2,6,7],[3,4],[5,8]]=>9
[7,8,5,1,4,2,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[7,8,4,5,3,1,6,2]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[1,5,8,4,3,2,7,6]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[5,6,1,4,3,2,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[2,6,4,8,3,7,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[1,4,6,8,3,7,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[2,4,8,5,3,1,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[2,5,8,1,4,7,6,3]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[3,5,8,4,7,6,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[1,6,2,4,7,3,8,5]=>[[1,2,4,5,7],[3,8],[6]]=>11
[5,6,2,1,4,7,8,3]=>[[1,2,6,7],[3,5],[4,8]]=>13
[4,6,2,5,3,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[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]]=>20
[5,7,3,6,1,4,8,2]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[5,3,6,7,2,1,8,4]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[6,1,7,5,2,4,8,3]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[6,3,1,2,4,5,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>9
[1,4,7,2,5,3,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>7
[4,6,7,8,3,5,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>6
[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]]=>13
[3,5,6,7,8,1,4,2]=>[[1,2,3,4,5],[6,7],[8]]=>4
[3,6,5,7,8,2,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[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]]=>11
[2,7,5,6,8,4,1,3]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[2,1,6,8,4,5,3,7]=>[[1,3,4,8],[2,5,6],[7]]=>12
[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]]=>17
[4,3,8,5,6,7,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>16
[4,2,8,1,6,3,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>19
[3,1,8,5,4,6,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[3,2,8,4,5,6,1,7]=>[[1,3,5,6,8],[2,4],[7]]=>15
[3,4,2,8,6,1,7,5]=>[[1,2,4,7],[3,5],[6,8]]=>13
[3,4,7,1,5,2,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[4,3,7,8,1,2,6,5]=>[[1,3,4],[2,6,7],[5,8]]=>16
[1,7,3,8,5,2,6,4]=>[[1,2,4,7],[3,5],[6,8]]=>13
[4,1,8,3,6,2,5,7]=>[[1,3,5,8],[2,4],[6,7]]=>17
[5,7,8,6,3,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[5,7,8,6,1,3,4,2]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[7,6,5,8,1,3,4,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[1,6,4,3,8,2,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[7,1,3,4,8,2,6,5]=>[[1,3,4,5],[2,7],[6,8]]=>14
[3,6,5,4,1,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[2,4,5,1,7,8,6,3]=>[[1,2,3,5,6],[4,7],[8]]=>8
[2,6,3,4,5,8,1,7]=>[[1,2,4,5,6],[3,8],[7]]=>10
[2,6,4,1,8,3,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>11
[7,3,6,4,8,5,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[7,2,1,4,8,3,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>11
[7,1,6,5,3,8,4,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[7,2,5,6,3,8,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[6,5,2,7,1,8,4,3]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[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]]=>11
[5,7,6,4,1,8,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[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]]=>12
[6,1,5,2,8,3,4,7]=>[[1,3,5,7,8],[2,6],[4]]=>16
[6,7,5,3,8,4,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[1,6,5,4,2,3,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[7,1,5,3,4,2,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[7,6,1,5,3,2,8,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[7,5,6,4,1,2,8,3]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[6,7,5,4,3,1,8,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[7,5,2,4,3,1,6,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[7,4,6,1,2,5,3,8]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[7,1,4,2,5,3,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>16
[6,8,1,4,2,5,7,3]=>[[1,2,6,7],[3,4],[5,8]]=>9
[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]]=>13
[6,8,1,3,7,5,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[7,1,3,5,6,4,2,8]=>[[1,3,4,5,8],[2],[6],[7]]=>13
[7,3,1,6,4,5,2,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[7,4,2,6,5,1,3,8]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[7,4,6,3,1,5,2,8]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[7,2,4,1,5,3,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>16
[7,2,3,5,4,1,6,8]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[6,8,1,2,3,4,7,5]=>[[1,2,5,6,7],[3,4],[8]]=>8
[1,5,7,2,3,8,6,4]=>[[1,2,3,6],[4,5,7],[8]]=>8
[5,1,8,2,3,6,7,4]=>[[1,3,5,6,7],[2,4],[8]]=>14
[5,8,2,3,7,6,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[6,2,8,1,3,7,4,5]=>[[1,3,6,8],[2,5],[4,7]]=>20
[6,8,2,3,5,4,7,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[6,8,2,4,1,5,7,3]=>[[1,2,6,7],[3,4],[5,8]]=>9
[6,8,3,1,2,4,7,5]=>[[1,2,6,7],[3,5],[4,8]]=>13
[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]]=>12
[2,5,1,7,8,3,6,4]=>[[1,2,4,5],[3,6,7],[8]]=>10
[2,5,3,6,8,4,7,1]=>[[1,2,4,5],[3,6,7],[8]]=>10
[2,1,4,7,8,5,6,3]=>[[1,3,4,5],[2,6,7],[8]]=>11
[2,4,7,6,8,5,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[2,5,3,7,6,1,8,4]=>[[1,2,4,7],[3,5],[6,8]]=>13
[2,5,7,8,1,4,6,3]=>[[1,2,3,4],[5,6,7],[8]]=>5
[3,5,7,4,1,6,2,8]=>[[1,2,3,8],[4,6],[5,7]]=>10
[5,3,4,1,8,6,7,2]=>[[1,3,5,7],[2,6],[4,8]]=>18
[5,2,8,4,6,1,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>18
[5,2,1,8,6,3,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>14
[4,2,8,6,5,3,7,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[4,2,8,5,7,6,3,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[1,4,2,7,5,8,6,3]=>[[1,2,4,6],[3,5,7],[8]]=>13
[4,1,8,6,7,5,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[5,3,8,7,6,2,4,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[5,8,4,7,6,2,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[5,8,7,4,3,6,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[6,4,8,3,1,7,2,5]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[6,4,2,8,7,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[6,3,8,7,2,5,1,4]=>[[1,3],[2,4],[5,6],[7,8]]=>18
[5,8,3,7,1,6,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>13
[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]]=>11
[1,5,7,6,4,2,8,3]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[5,8,7,4,1,6,2,3]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[6,4,8,1,2,7,3,5]=>[[1,3,6,8],[2,5],[4,7]]=>20
[6,8,5,1,2,3,7,4]=>[[1,2,6,7],[3,5],[4,8]]=>13
[6,8,5,2,4,3,7,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[6,8,5,3,1,2,7,4]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[4,5,1,2,7,6,3,8]=>[[1,2,5,8],[3,4,6],[7]]=>10
[4,5,1,2,6,8,7,3]=>[[1,2,5,6],[3,4,7],[8]]=>9
[3,5,6,1,8,4,7,2]=>[[1,2,3,5],[4,6,7],[8]]=>9
[3,5,7,1,2,8,6,4]=>[[1,2,3,6],[4,5,7],[8]]=>8
[3,6,2,7,5,1,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>12
[4,2,6,1,7,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>16
[4,6,3,1,2,7,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>13
[4,5,3,1,7,6,2,8]=>[[1,2,5,8],[3,6],[4,7]]=>11
[4,2,5,7,1,6,3,8]=>[[1,3,4,8],[2,6],[5,7]]=>16
[3,5,2,7,8,1,6,4]=>[[1,2,4,5],[3,7],[6,8]]=>13
[3,1,4,7,5,6,2,8]=>[[1,3,4,6,8],[2,5],[7]]=>14
[3,4,6,5,8,7,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>10
[3,1,4,5,8,6,7,2]=>[[1,3,4,5,7],[2,6],[8]]=>12
[3,4,6,8,5,2,7,1]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[3,5,6,2,8,4,7,1]=>[[1,2,3,5],[4,6,7],[8]]=>9
[4,2,5,6,1,8,7,3]=>[[1,3,4,6],[2,7],[5,8]]=>15
[4,5,3,1,6,8,7,2]=>[[1,2,5,6],[3,7],[4,8]]=>10
[2,1,7,5,8,6,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[1,2,7,5,3,8,6,4]=>[[1,2,3,6],[4,7],[5,8]]=>9
[4,1,2,7,3,8,6,5]=>[[1,3,4,6],[2,5,7],[8]]=>14
[6,4,1,7,5,2,3,8]=>[[1,4,7,8],[2,5],[3,6]]=>13
[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]]=>12
[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]]=>8
[2,4,1,7,8,6,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[3,4,7,5,1,8,6,2]=>[[1,2,3,6],[4,7],[5,8]]=>9
[2,7,4,1,5,8,6,3]=>[[1,2,5,6],[3,7],[4,8]]=>10
[2,3,7,1,5,8,6,4]=>[[1,2,3,6],[4,5,7],[8]]=>8
[5,2,8,1,3,7,4,6]=>[[1,3,6,8],[2,5],[4,7]]=>20
[2,1,6,8,3,4,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>13
[2,6,8,3,1,5,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>11
[2,8,6,4,1,5,7,3]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[3,6,4,8,5,1,7,2]=>[[1,2,4,7],[3,5],[6,8]]=>13
[6,3,7,4,5,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>18
[2,6,3,7,5,8,1,4]=>[[1,2,4,6],[3,5],[7,8]]=>14
[5,2,1,7,8,3,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>11
[4,7,2,3,6,8,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>10
[5,2,7,3,6,8,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>16
[5,7,4,6,2,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[5,7,3,4,6,1,8,2]=>[[1,2,5,7],[3,4],[6,8]]=>12
[5,3,8,4,6,1,7,2]=>[[1,3,5,7],[2,4],[6,8]]=>18
[8,5,2,4,1,6,7,3]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[8,2,3,5,1,6,7,4]=>[[1,3,4,6,7],[2,8],[5]]=>13
[4,2,8,3,6,7,1,5]=>[[1,3,5,6],[2,4],[7,8]]=>16
[2,4,8,1,7,3,5,6]=>[[1,2,3,8],[4,5,7],[6]]=>8
[8,4,1,3,6,2,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[4,8,3,1,7,2,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>12
[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]]=>14
[4,6,8,3,1,7,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[6,3,8,2,7,1,5,4]=>[[1,3],[2,5],[4,7],[6,8]]=>24
[6,3,1,8,2,4,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>14
[5,3,8,1,2,6,4,7]=>[[1,3,6,8],[2,5],[4,7]]=>20
[5,7,4,1,6,2,3,8]=>[[1,2,7,8],[3,5],[4,6]]=>12
[8,5,4,1,2,6,3,7]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[5,1,8,4,2,7,3,6]=>[[1,3,6,8],[2,4],[5,7]]=>16
[1,6,2,8,5,3,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>13
[6,8,5,3,1,7,4,2]=>[[1,2],[3,6],[4,7],[5,8]]=>15
[8,4,5,1,2,6,3,7]=>[[1,3,6,8],[2,5,7],[4]]=>19
[5,6,3,7,1,2,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>14
[1,6,3,7,2,8,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>13
[6,3,2,7,8,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[4,5,7,8,3,1,6,2]=>[[1,2,3,4],[5,7],[6,8]]=>8
[4,7,2,5,8,1,6,3]=>[[1,2,5],[3,4,7],[6,8]]=>13
[8,1,3,4,6,2,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>13
[3,8,2,4,6,7,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>10
[3,5,6,8,2,7,1,4]=>[[1,2,3,4],[5,6],[7,8]]=>6
[2,4,5,6,8,1,7,3]=>[[1,2,3,4,5],[6,7],[8]]=>4
[4,8,3,5,6,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>12
[5,6,2,3,7,8,1,4]=>[[1,2,5,6],[3,4,8],[7]]=>10
[5,8,7,3,4,1,2,6]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[6,8,7,3,4,1,2,5]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[6,8,4,7,1,5,3,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>13
[6,8,4,7,2,5,3,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>13
[5,4,8,7,2,6,3,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[5,4,8,7,1,6,3,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[5,3,8,7,6,1,2,4]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[4,3,8,7,6,1,2,5]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[4,8,3,7,5,1,2,6]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[8,3,4,6,5,1,2,7]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[3,8,4,7,5,1,2,6]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[3,4,8,7,6,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[3,5,8,7,6,1,2,4]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[4,5,8,7,6,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[4,5,8,7,1,6,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[4,5,8,7,2,6,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[3,5,8,2,7,6,4,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[3,5,8,1,7,6,4,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[2,5,8,1,7,6,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[2,5,8,7,1,6,3,4]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[2,4,8,7,1,6,3,5]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[2,8,4,7,1,5,3,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[8,2,4,6,1,5,3,7]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[8,1,4,6,2,5,3,7]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[1,8,4,7,2,5,3,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[1,4,8,7,2,6,3,5]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[1,5,8,7,2,6,3,4]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[1,5,8,2,7,6,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[2,5,8,3,7,6,4,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[1,4,2,8,7,6,5,3]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[1,3,8,2,7,6,4,5]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[1,8,3,2,7,5,4,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[8,1,3,2,6,5,4,7]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[8,2,3,1,6,5,4,7]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[2,8,3,1,7,5,4,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[2,3,8,1,7,6,4,5]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[3,4,1,8,7,6,5,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[4,3,1,8,7,6,5,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[4,2,1,8,7,6,5,3]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[3,8,2,1,7,5,4,6]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[8,3,2,1,6,5,4,7]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[8,4,2,6,1,5,3,7]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[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]]=>23
[5,3,8,1,7,6,4,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[5,3,8,2,7,6,4,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[6,8,3,2,7,5,4,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[6,8,3,1,7,5,4,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[6,8,2,1,7,5,4,3]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[6,8,2,7,1,5,3,4]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[6,8,7,2,1,4,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[8,5,6,1,2,4,3,7]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[5,8,7,1,2,4,3,6]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[6,8,1,2,7,5,4,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[6,8,2,3,7,5,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[5,2,8,3,7,6,4,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[5,1,8,3,7,6,4,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[5,1,8,7,2,6,3,4]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[4,1,8,7,2,6,3,5]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[4,8,1,7,2,5,3,6]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[8,4,1,6,2,5,3,7]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[8,3,1,2,6,5,4,7]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[3,8,1,2,7,5,4,6]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[3,1,8,2,7,6,4,5]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[3,1,2,8,7,6,5,4]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[4,1,3,8,7,6,5,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[3,1,4,8,7,6,5,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[2,1,8,3,7,6,4,5]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[2,8,1,3,7,5,4,6]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[8,2,1,3,6,5,4,7]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[8,1,2,3,6,5,4,7]=>[[1,3,4,5,8],[2],[6],[7]]=>13
[1,8,2,3,7,5,4,6]=>[[1,2,4,5,8],[3],[6],[7]]=>12
[1,2,8,3,7,6,4,5]=>[[1,2,3,5,8],[4],[6],[7]]=>11
[1,4,3,6,8,2,5,7]=>[[1,2,4,5],[3,7,8],[6]]=>12
[3,1,6,2,5,8,4,7]=>[[1,3,5,6],[2,4,8],[7]]=>16
[3,5,1,8,2,4,7,6]=>[[1,2,4,7],[3,5,6],[8]]=>12
[1,4,5,2,8,3,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>9
[1,4,2,6,5,8,3,7]=>[[1,2,4,6],[3,5,8],[7]]=>14
[1,5,4,2,6,8,3,7]=>[[1,2,5,6],[3,7,8],[4]]=>9
[3,1,6,5,8,2,4,7]=>[[1,3,5,8],[2,4,7],[6]]=>18
[1,6,4,2,5,8,3,7]=>[[1,2,5,6],[3,7,8],[4]]=>9
[1,5,2,6,4,8,3,7]=>[[1,2,4,6],[3,5,8],[7]]=>14
[1,2,6,5,4,8,3,7]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[1,2,5,4,7,3,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>10
[4,1,2,6,3,8,7,5]=>[[1,3,4,6],[2,5,7],[8]]=>14
[7,1,5,4,2,8,3,6]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[1,4,7,5,2,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>8
[7,1,3,5,2,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>14
[7,2,5,1,8,3,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>16
[1,4,5,2,8,7,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>10
[1,6,4,2,8,3,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>12
[1,4,2,8,3,7,6,5]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[1,2,5,3,8,7,6,4]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[1,2,8,6,5,3,7,4]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[1,5,2,8,6,3,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>12
[1,6,4,2,8,7,3,5]=>[[1,2,5,8],[3,6],[4,7]]=>11
[6,2,1,8,7,3,4,5]=>[[1,4,7,8],[2,5],[3,6]]=>13
[7,6,2,1,8,3,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[7,3,1,6,2,8,4,5]=>[[1,4,6,8],[2,5,7],[3]]=>14
[1,7,6,4,2,8,3,5]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[1,7,5,2,6,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>11
[1,6,2,7,5,3,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>12
[1,2,7,6,5,3,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[1,2,6,5,3,8,7,4]=>[[1,2,3,6],[4,7],[5,8]]=>9
[1,5,2,6,3,8,7,4]=>[[1,2,4,6],[3,5,7],[8]]=>13
[1,5,2,7,6,3,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>12
[1,6,5,2,7,3,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>11
[1,5,7,4,2,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>8
[4,1,2,8,6,3,7,5]=>[[1,3,4,7],[2,5,8],[6]]=>13
[3,1,8,6,2,4,7,5]=>[[1,3,6,7],[2,4,8],[5]]=>14
[4,3,7,1,8,2,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>16
[8,3,1,6,2,4,7,5]=>[[1,4,6,7],[2,5,8],[3]]=>13
[7,1,8,3,2,4,6,5]=>[[1,3,6,7],[2,4],[5,8]]=>15
[1,8,7,3,2,4,6,5]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[1,4,2,8,7,3,6,5]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[1,7,4,2,8,3,6,5]=>[[1,2,5,7],[3,6],[4,8]]=>12
[8,1,5,4,2,7,3,6]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[1,4,8,5,2,7,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>8
[8,5,3,1,7,2,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[8,6,2,1,7,3,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[1,8,6,4,2,7,3,5]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[1,8,5,2,6,3,7,4]=>[[1,2,5,7],[3,6,8],[4]]=>11
[1,5,2,7,3,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>13
[1,2,8,5,3,7,6,4]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[1,2,6,3,8,7,5,4]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[1,2,7,6,3,8,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[1,6,2,7,3,8,5,4]=>[[1,2,4,6],[3,5,7],[8]]=>13
[1,7,2,8,5,3,6,4]=>[[1,2,4,7],[3,5],[6,8]]=>13
[1,7,4,2,8,6,3,5]=>[[1,2,5,8],[3,6],[4,7]]=>11
[7,1,8,3,2,6,4,5]=>[[1,3,6,8],[2,4],[5,7]]=>16
[7,2,1,8,6,3,4,5]=>[[1,4,7,8],[2,5],[3,6]]=>13
[1,8,7,3,2,6,4,5]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[1,4,2,8,7,6,3,5]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[1,2,8,7,5,3,6,4]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[1,2,8,6,3,7,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[1,2,7,3,8,6,5,4]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[4,1,7,3,6,5,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[5,1,8,7,6,2,4,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[8,1,7,6,3,4,5,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>19
[5,7,8,6,2,4,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[5,7,1,6,2,4,3,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[6,4,1,5,2,7,3,8]=>[[1,4,6,8],[2,5,7],[3]]=>14
[8,1,4,5,3,7,6,2]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[6,1,4,5,3,8,7,2]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[6,1,4,5,3,7,8,2]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[5,1,7,8,6,2,4,3]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[6,1,4,8,3,5,7,2]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[7,1,8,6,3,4,5,2]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[7,1,4,5,3,8,6,2]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[7,1,4,5,3,6,8,2]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[8,1,4,5,3,6,7,2]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[7,4,1,5,2,6,3,8]=>[[1,4,6,8],[2,5,7],[3]]=>14
[6,3,5,7,2,1,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[6,3,5,8,2,1,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[6,3,5,7,2,1,8,4]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[8,4,5,7,3,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[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]]=>17
[5,4,8,6,3,1,7,2]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[5,4,1,8,2,3,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>14
[5,8,1,6,2,4,3,7]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[8,4,1,5,2,6,3,7]=>[[1,4,6,8],[2,5,7],[3]]=>14
[6,3,5,8,2,1,4,7]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[2,3,4,1,8,6,5,7]=>[[1,2,3,5,8],[4,6],[7]]=>9
[8,3,5,6,2,1,4,7]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[2,3,8,5,1,4,7,6]=>[[1,2,3,7],[4,6,8],[5]]=>10
[2,3,8,6,1,5,7,4]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[2,8,6,7,1,3,5,4]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[8,3,5,7,2,1,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[2,3,8,5,6,1,7,4]=>[[1,2,3,5,7],[4,8],[6]]=>10
[7,4,5,6,3,1,8,2]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[8,4,5,6,3,1,7,2]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[7,3,5,6,2,8,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[7,3,5,8,2,1,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[7,3,5,6,2,1,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[2,7,6,5,1,3,4,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[2,7,6,8,1,3,5,4]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[2,7,6,5,8,3,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[8,7,5,6,1,4,2,3]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[2,6,4,1,8,5,7,3]=>[[1,2,5,7],[3,6],[4,8]]=>12
[2,6,1,3,8,5,7,4]=>[[1,2,5,7],[3,4,6],[8]]=>11
[2,7,1,3,6,5,8,4]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[2,7,6,8,4,3,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[2,7,6,1,8,3,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>10
[2,7,6,1,4,3,5,8]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[7,3,5,1,2,8,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>19
[8,4,1,5,2,3,7,6]=>[[1,4,6,7],[2,5,8],[3]]=>13
[7,8,1,6,3,4,2,5]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[6,4,1,8,3,2,7,5]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[2,3,8,6,4,1,7,5]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[2,8,6,7,4,3,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[8,3,5,7,2,4,1,6]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[2,3,4,1,8,7,5,6]=>[[1,2,3,5,8],[4,6],[7]]=>9
[2,8,6,1,7,3,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>10
[2,3,8,1,6,4,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>7
[2,3,8,1,4,5,7,6]=>[[1,2,3,6,7],[4,5],[8]]=>7
[2,8,6,1,4,3,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[8,4,3,6,5,1,7,2]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[8,5,6,3,4,1,7,2]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[8,6,5,4,3,1,7,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>18
[1,7,6,5,4,2,3,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[1,8,6,5,2,7,3,4]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[8,7,5,4,1,6,3,2]=>[[1,6],[2,7],[3],[4],[5],[8]]=>19
[7,8,5,4,1,3,6,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[6,8,5,4,2,1,7,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>15
[5,8,6,2,4,1,7,3]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[4,8,2,6,5,1,7,3]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[3,2,8,6,5,1,7,4]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[3,2,1,7,6,4,5,8]=>[[1,4,7,8],[2,5],[3,6]]=>13
[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]]=>17
[6,1,7,5,3,2,4,8]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[7,1,6,5,2,4,3,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>20
[8,1,6,5,2,3,7,4]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[1,2,7,6,3,4,5,8]=>[[1,2,3,6,7,8],[4],[5]]=>6
[1,2,8,3,7,4,5,6]=>[[1,2,3,5,7,8],[4],[6]]=>9
[8,1,7,2,6,3,5,4]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[7,1,8,2,6,4,3,5]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[6,1,8,2,4,7,3,5]=>[[1,3,5,6],[2,4],[7,8]]=>16
[5,1,8,3,2,7,4,6]=>[[1,3,6,8],[2,4],[5,7]]=>16
[4,1,3,8,2,7,5,6]=>[[1,3,4,8],[2,6],[5,7]]=>16
[3,2,1,8,4,7,5,6]=>[[1,4,6,8],[2,5],[3,7]]=>15
[3,2,8,7,1,6,5,4]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[4,8,2,7,1,6,5,3]=>[[1,2],[3,4],[5,6],[7],[8]]=>13
[5,8,7,2,1,6,4,3]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[6,8,7,1,3,5,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[7,8,6,1,5,3,4,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[8,7,6,1,5,4,3,2]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>25
[1,8,7,2,6,5,3,4]=>[[1,2,5,8],[3],[4],[6],[7]]=>15
[1,7,8,2,5,6,3,4]=>[[1,2,3,6],[4,5],[7,8]]=>9
[8,6,7,1,4,5,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[7,6,8,1,4,3,5,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[6,5,8,3,2,1,7,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[7,5,8,3,1,4,6,2]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[8,5,7,3,1,6,4,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>22
[1,6,8,4,2,7,3,5]=>[[1,2,3,8],[4,6],[5,7]]=>10
[1,5,4,8,2,7,3,6]=>[[1,2,4,8],[3,6],[5,7]]=>15
[8,4,3,7,1,6,5,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[7,4,3,8,1,5,6,2]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[6,4,3,1,5,2,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[7,4,3,1,2,6,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[8,4,3,1,2,5,7,6]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[1,5,4,2,3,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>7
[8,5,1,4,2,3,7,6]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[7,5,1,4,2,6,3,8]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[6,5,1,4,3,2,7,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[5,6,1,3,4,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>10
[4,6,2,1,5,3,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>12
[3,2,6,1,5,4,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>18
[3,2,7,1,4,6,5,8]=>[[1,3,6,8],[2,5],[4,7]]=>20
[4,7,2,1,3,6,5,8]=>[[1,2,6,8],[3,5],[4,7]]=>14
[5,7,1,3,2,6,4,8]=>[[1,2,6,8],[3,4],[5,7]]=>10
[6,7,1,2,4,5,3,8]=>[[1,2,5,6,8],[3,4],[7]]=>9
[7,6,1,2,5,4,3,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[8,6,1,2,5,3,7,4]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[1,7,2,3,6,4,5,8]=>[[1,2,4,5,7,8],[3],[6]]=>10
[8,7,1,2,3,6,5,4]=>[[1,4,5,6],[2],[3],[7],[8]]=>15
[7,8,1,2,3,5,6,4]=>[[1,2,5,6,7],[3,4],[8]]=>8
[6,8,1,2,4,3,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>12
[5,8,1,3,2,4,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>9
[4,8,2,1,3,5,7,6]=>[[1,2,6,7],[3,5],[4,8]]=>13
[3,2,8,1,4,5,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>19
[4,1,3,2,5,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>13
[5,1,2,4,3,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>12
[6,1,2,3,5,4,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>11
[7,1,2,3,4,6,5,8]=>[[1,3,4,5,6,8],[2],[7]]=>10
[8,1,2,3,4,5,7,6]=>[[1,3,4,5,6,7],[2],[8]]=>9
[6,7,3,8,5,1,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>13
[6,7,4,5,1,8,3,2]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[5,4,7,6,8,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>18
[5,3,7,8,6,1,2,4]=>[[1,3,4],[2,5,8],[6,7]]=>14
[3,8,4,5,7,1,2,6]=>[[1,2,4,5],[3,7,8],[6]]=>12
[3,4,8,6,7,1,2,5]=>[[1,2,3,5],[4,7,8],[6]]=>11
[4,5,6,7,1,8,3,2]=>[[1,2,3,4,6],[5,7],[8]]=>7
[3,5,6,2,7,4,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>10
[3,5,6,1,7,8,4,2]=>[[1,2,3,5,6],[4,7],[8]]=>8
[2,5,6,1,8,7,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[2,5,6,8,1,7,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6
[8,2,4,5,1,6,3,7]=>[[1,3,4,6,8],[2,7],[5]]=>14
[1,4,8,6,2,3,7,5]=>[[1,2,3,7],[4,6,8],[5]]=>10
[1,5,6,8,2,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>5
[1,5,6,2,8,4,7,3]=>[[1,2,3,5],[4,6,7],[8]]=>9
[2,5,6,3,4,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>7
[1,4,2,6,8,5,7,3]=>[[1,2,4,5],[3,6,7],[8]]=>10
[8,1,3,2,5,4,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>16
[8,2,3,1,5,6,4,7]=>[[1,3,5,6,8],[2,7],[4]]=>15
[2,8,3,1,5,7,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>9
[2,4,1,6,8,7,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[3,4,1,6,7,8,5,2]=>[[1,2,4,5,6],[3,7],[8]]=>9
[4,3,1,7,6,8,5,2]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[5,2,7,8,1,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>17
[5,3,7,2,6,4,8,1]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[6,7,3,1,5,8,4,2]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[6,7,2,1,8,5,4,3]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[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]]=>11
[6,7,1,2,8,4,5,3]=>[[1,2,5,7],[3,4,6],[8]]=>11
[6,7,1,3,4,8,5,2]=>[[1,2,5,6],[3,4,7],[8]]=>9
[5,2,7,3,4,6,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>14
[5,1,7,3,4,8,6,2]=>[[1,3,5,6],[2,4,7],[8]]=>15
[5,1,7,8,2,3,6,4]=>[[1,3,4,7],[2,5,6],[8]]=>13
[4,1,8,7,2,3,6,5]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[3,8,1,2,7,4,5,6]=>[[1,2,5,7,8],[3,4],[6]]=>10
[4,1,3,7,5,8,6,2]=>[[1,3,4,6],[2,5,7],[8]]=>14
[3,1,4,5,7,8,6,2]=>[[1,3,4,5,6],[2,7],[8]]=>10
[2,1,8,3,4,7,6,5]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[8,2,1,3,4,6,5,7]=>[[1,4,5,6,8],[2,7],[3]]=>10
[1,8,2,3,4,5,7,6]=>[[1,2,4,5,6,7],[3],[8]]=>8
[1,2,8,3,4,6,7,5]=>[[1,2,3,5,6,7],[4],[8]]=>7
[4,2,1,6,5,8,7,3]=>[[1,4,6],[2,5,7],[3,8]]=>15
[5,2,6,1,4,8,7,3]=>[[1,3,6],[2,5,7],[4,8]]=>20
[5,2,6,4,1,8,7,3]=>[[1,3,6],[2,4,7],[5,8]]=>16
[5,2,7,4,8,1,6,3]=>[[1,3,5],[2,4,7],[6,8]]=>19
[5,2,7,4,8,6,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>17
[5,7,2,3,8,6,1,4]=>[[1,2,5],[3,4,6],[7,8]]=>11
[5,7,2,3,8,1,6,4]=>[[1,2,5],[3,4,7],[6,8]]=>13
[5,6,2,3,1,8,7,4]=>[[1,2,6],[3,4,7],[5,8]]=>10
[5,6,2,1,3,8,7,4]=>[[1,2,6],[3,5,7],[4,8]]=>14
[5,1,6,4,2,8,7,3]=>[[1,3,6],[2,4,7],[5,8]]=>16
[5,6,1,3,2,8,7,4]=>[[1,2,6],[3,4,7],[5,8]]=>10
[5,6,3,1,2,8,7,4]=>[[1,2,6],[3,5,7],[4,8]]=>14
[5,6,3,2,1,8,7,4]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[5,7,3,2,8,1,6,4]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[5,7,3,2,8,6,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[6,7,3,8,2,1,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[6,7,3,8,1,2,5,4]=>[[1,2,4],[3,6,7],[5,8]]=>15
[5,7,3,1,8,2,6,4]=>[[1,2,5],[3,6,7],[4,8]]=>11
[5,7,1,3,8,2,6,4]=>[[1,2,5],[3,4,7],[6,8]]=>13
[5,1,7,4,8,2,6,3]=>[[1,3,5],[2,4,7],[6,8]]=>19
[1,5,7,4,8,3,6,2]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[1,5,7,4,8,6,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[5,1,7,4,8,6,2,3]=>[[1,3,5],[2,4,6],[7,8]]=>17
[5,7,1,3,8,6,2,4]=>[[1,2,5],[3,4,6],[7,8]]=>11
[5,7,3,1,8,6,2,4]=>[[1,2,5],[3,6,8],[4,7]]=>12
[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]]=>15
[6,7,8,3,1,4,2,5]=>[[1,2,3],[4,6,8],[5,7]]=>11
[6,7,1,8,3,5,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>12
[6,1,7,8,4,5,2,3]=>[[1,3,4],[2,5,6],[7,8]]=>13
[1,6,7,8,4,5,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[1,6,7,8,4,3,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[6,1,7,8,4,2,5,3]=>[[1,3,4],[2,5,7],[6,8]]=>15
[6,7,1,8,3,2,5,4]=>[[1,2,4],[3,5,7],[6,8]]=>14
[5,7,2,1,8,3,6,4]=>[[1,2,5],[3,6,7],[4,8]]=>11
[6,7,2,8,1,3,5,4]=>[[1,2,4],[3,6,7],[5,8]]=>15
[6,7,2,8,3,1,5,4]=>[[1,2,4],[3,5,7],[6,8]]=>14
[6,7,2,8,3,5,1,4]=>[[1,2,4],[3,5,6],[7,8]]=>12
[6,2,7,8,4,5,1,3]=>[[1,3,4],[2,5,6],[7,8]]=>13
[6,2,7,8,4,1,5,3]=>[[1,3,4],[2,5,7],[6,8]]=>15
[6,2,7,8,1,4,5,3]=>[[1,3,4],[2,6,7],[5,8]]=>16
[5,2,7,1,8,4,6,3]=>[[1,3,5],[2,6,7],[4,8]]=>17
[4,2,1,7,8,5,6,3]=>[[1,4,5],[2,6,7],[3,8]]=>12
[4,1,2,7,8,6,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[6,2,7,8,1,5,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[6,2,7,8,5,1,4,3]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[6,2,7,8,5,4,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[6,7,2,8,5,3,1,4]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[5,7,2,1,8,6,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>12
[5,7,1,2,8,6,3,4]=>[[1,2,5,8],[3,4,6],[7]]=>10
[5,1,7,2,8,6,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[1,5,7,3,8,6,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[1,6,7,8,3,5,4,2]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[6,1,7,8,2,5,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[6,7,1,8,2,5,3,4]=>[[1,2,4,8],[3,5,6],[7]]=>11
[6,7,8,2,4,1,3,5]=>[[1,2,3],[4,5,8],[6,7]]=>8
[6,7,8,2,4,3,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[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]]=>16
[1,6,7,8,5,3,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[6,1,7,8,5,4,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[6,7,1,8,5,3,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[6,7,8,4,1,3,2,5]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[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]]=>19
[6,3,4,5,8,7,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[5,6,1,4,8,7,3,2]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[3,6,4,8,5,7,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>14
[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]]=>11
[6,3,8,4,2,7,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[3,6,8,7,1,4,2,5]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[5,3,7,1,6,8,2,4]=>[[1,3,6],[2,5,8],[4,7]]=>21
[4,3,8,5,6,7,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[4,6,1,2,7,8,5,3]=>[[1,2,5,6],[3,4,7],[8]]=>9
[3,6,4,2,8,7,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[6,3,7,5,2,8,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[6,5,2,7,4,8,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[5,7,1,4,8,3,2,6]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[7,8,3,5,1,4,6,2]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[5,8,1,4,6,7,2,3]=>[[1,2,5,6],[3,4],[7,8]]=>10
[6,5,8,4,3,7,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>25
[6,3,7,4,2,8,5,1]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[8,7,1,6,2,4,5,3]=>[[1,4,6,7],[2],[3],[5],[8]]=>18
[3,8,6,7,1,4,5,2]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[5,3,8,7,4,1,2,6]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[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]]=>20
[5,6,1,8,7,3,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[5,4,2,7,3,6,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[7,5,3,6,4,2,8,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[6,4,1,5,3,8,2,7]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[8,2,6,3,4,7,5,1]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[7,2,6,3,5,4,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[6,2,7,4,3,5,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[3,7,6,4,5,2,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>16
[2,7,6,5,3,4,8,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>13
[6,5,4,3,1,8,2,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[8,6,5,4,2,7,3,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>19
[8,5,4,1,7,2,6,3]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[7,5,4,1,8,3,2,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[1,6,5,2,8,3,4,7]=>[[1,2,5,7,8],[3,6],[4]]=>10
[1,6,5,3,4,8,2,7]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[5,4,6,3,1,8,2,7]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[6,5,8,4,2,7,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>22
[5,8,2,6,4,7,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[7,8,5,3,2,6,4,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[6,8,3,1,7,2,5,4]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[1,8,6,3,7,5,2,4]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[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]]=>23
[7,8,1,6,3,2,5,4]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[2,8,1,7,3,5,6,4]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[4,8,1,3,7,2,6,5]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[4,2,8,5,7,3,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[5,1,7,6,8,3,2,4]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[6,7,3,1,8,4,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>12
[1,7,3,8,4,5,2,6]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,7,2,8,5,3,4,6]=>[[1,2,4,7,8],[3,5],[6]]=>11
[7,6,1,8,4,3,2,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[8,6,1,7,4,2,5,3]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[8,1,2,7,3,4,6,5]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[7,1,2,8,3,5,4,6]=>[[1,3,4,6,8],[2,5],[7]]=>14
[8,2,6,1,7,3,5,4]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[4,2,1,5,8,3,6,7]=>[[1,4,5,8],[2,6,7],[3]]=>11
[5,4,3,1,6,8,2,7]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[4,7,5,6,8,3,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[6,5,4,8,2,7,3,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[6,5,1,8,7,4,2,3]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[8,6,4,7,5,3,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>21
[5,1,8,3,7,6,2,4]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[5,4,8,1,7,2,6,3]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[3,6,8,2,4,7,5,1]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[5,7,3,8,2,6,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[4,7,2,8,6,3,5,1]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[2,3,8,7,4,5,6,1]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[7,2,8,6,4,3,5,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[2,1,8,7,5,6,3,4]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[8,2,7,6,3,5,4,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>24
[8,1,7,6,5,2,4,3]=>[[1,3,7],[2],[4],[5],[6],[8]]=>23
[7,1,8,6,5,3,2,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[1,2,8,7,6,3,4,5]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[1,3,8,7,4,6,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[5,1,6,8,7,4,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[6,8,7,2,5,4,3,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>20
[3,8,7,6,4,5,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>18
[2,8,7,6,5,3,4,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>17
[1,8,7,6,5,4,2,3]=>[[1,2,8],[3],[4],[5],[6],[7]]=>16
[5,8,6,7,3,4,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[4,8,6,7,3,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[3,8,6,7,4,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[2,8,6,7,4,5,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[1,8,6,7,4,5,2,3]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[1,8,5,7,4,6,2,3]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[3,8,5,7,4,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[4,8,5,7,3,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[7,8,3,6,4,5,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[6,8,3,7,4,5,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[5,8,3,7,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[3,7,4,8,5,6,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>14
[4,7,3,8,5,6,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>12
[4,7,2,8,5,6,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>12
[4,7,1,8,5,6,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>12
[3,7,1,8,5,6,2,4]=>[[1,2,4],[3,5,6],[7,8]]=>12
[3,7,2,8,5,6,1,4]=>[[1,2,4],[3,5,6],[7,8]]=>12
[2,7,3,8,5,6,1,4]=>[[1,2,4,6],[3,5],[7,8]]=>14
[2,7,4,8,5,6,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>14
[5,8,2,7,4,6,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[6,8,2,7,4,5,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[7,8,2,6,4,5,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[7,8,1,6,4,5,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[6,8,1,7,4,5,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[5,8,1,7,4,6,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[1,7,4,8,5,6,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>14
[1,7,3,8,5,6,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>14
[2,8,5,6,1,7,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>13
[1,8,5,6,2,7,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>13
[1,7,3,8,4,6,2,5]=>[[1,2,4,6],[3,5],[7,8]]=>14
[4,8,1,7,3,6,2,5]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[5,8,1,7,3,6,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[6,8,1,7,3,5,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[7,8,2,6,3,5,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[6,8,2,7,3,5,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[5,8,2,7,3,6,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[4,8,2,7,3,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[2,7,3,8,4,6,1,5]=>[[1,2,4,6],[3,5],[7,8]]=>14
[3,7,2,8,4,6,1,5]=>[[1,2,4],[3,5,6],[7,8]]=>12
[3,7,1,8,4,6,2,5]=>[[1,2,4],[3,5,6],[7,8]]=>12
[1,8,4,7,3,6,2,5]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[2,8,4,7,3,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[3,8,4,7,2,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[4,8,5,7,2,6,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[3,8,5,7,2,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[2,8,5,7,3,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[1,8,5,7,3,6,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[1,8,6,7,3,5,2,4]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[2,8,6,7,3,5,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[3,8,6,7,2,5,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[4,8,6,7,2,5,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[5,8,6,7,2,4,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[6,8,5,7,1,4,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[5,8,6,7,1,4,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[4,8,6,7,1,5,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[3,8,6,7,1,5,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[1,5,2,8,6,7,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>14
[2,5,1,8,6,7,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>14
[2,6,1,8,5,7,3,4]=>[[1,2,4],[3,5,6],[7,8]]=>12
[1,6,2,8,5,7,3,4]=>[[1,2,4,6],[3,5],[7,8]]=>14
[3,8,5,7,1,6,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[6,8,4,7,1,5,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[7,8,4,6,1,5,2,3]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[7,8,3,6,1,5,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[6,8,3,7,1,5,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[4,8,3,7,1,6,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[3,8,4,7,1,6,2,5]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[1,6,2,8,4,7,3,5]=>[[1,2,4,6],[3,5],[7,8]]=>14
[2,6,1,8,4,7,3,5]=>[[1,2,4],[3,5,6],[7,8]]=>12
[3,7,2,6,1,8,4,5]=>[[1,2,6],[3,4,8],[5,7]]=>11
[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]]=>10
[7,8,2,5,1,6,3,4]=>[[1,2,6],[3,4,8],[5,7]]=>11
[6,8,2,5,1,7,3,4]=>[[1,2,6],[3,4,8],[5,7]]=>11
[5,8,2,6,1,7,3,4]=>[[1,2,6],[3,4,8],[5,7]]=>11
[4,8,2,6,1,7,3,5]=>[[1,2,6],[3,4,8],[5,7]]=>11
[1,7,3,6,2,8,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>13
[2,7,3,6,1,8,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>13
[6,7,4,8,3,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[6,7,4,5,2,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[5,7,4,6,2,3,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[5,7,4,6,3,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[5,7,4,8,3,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[6,8,4,5,3,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[5,8,4,6,3,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[5,6,4,8,3,7,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[5,6,3,7,2,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[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]]=>18
[5,6,4,8,2,7,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[5,8,4,6,2,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[6,8,4,5,2,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[7,8,4,5,2,6,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[6,8,4,5,2,3,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[5,8,4,6,2,3,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[5,6,4,8,2,3,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[5,6,3,8,2,4,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[5,6,3,4,2,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[4,6,3,5,2,7,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[4,6,3,5,2,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[4,6,3,8,2,5,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[4,8,3,6,2,5,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[5,8,3,6,2,4,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[6,8,3,5,2,4,1,7]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[7,8,3,5,2,4,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[7,8,3,5,2,6,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[5,8,3,6,2,7,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[4,8,3,6,2,7,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[4,6,3,8,2,7,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[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]]=>10
[4,7,3,6,2,8,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[4,7,3,8,2,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[5,7,4,8,2,6,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[5,7,3,6,2,8,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[5,7,3,6,2,4,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[6,7,3,5,2,4,1,8]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[6,7,3,5,2,8,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[6,7,4,8,2,5,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[6,7,5,8,2,4,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[6,8,5,7,2,3,1,4]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[6,7,4,8,2,3,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[6,7,3,8,2,4,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[6,7,3,4,2,8,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[5,7,3,4,2,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[5,7,3,4,2,8,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[5,7,4,8,2,3,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[5,8,4,7,2,3,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[6,8,4,7,2,3,1,5]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[7,8,4,6,2,3,1,5]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[7,8,3,6,2,4,1,5]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[6,8,3,7,2,4,1,5]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[5,8,3,7,2,4,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[4,8,3,7,2,5,1,6]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[4,7,3,8,2,5,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[4,7,3,5,2,8,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[4,7,3,5,2,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[4,5,3,7,2,6,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[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]]=>18
[4,8,3,5,2,7,1,6]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[5,8,3,4,2,7,1,6]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[6,8,3,4,2,7,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[7,8,3,4,2,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[6,8,3,4,2,5,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[5,8,3,4,2,6,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[4,8,3,5,2,6,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[4,5,3,8,2,6,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[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]]=>11
[4,8,5,2,1,7,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[4,6,5,2,1,3,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[5,6,4,2,3,1,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[6,4,5,3,1,2,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[5,4,6,1,3,2,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[4,6,8,1,7,3,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[4,7,8,1,6,3,5,2]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[7,4,8,1,6,5,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[5,4,8,1,3,7,6,2]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[8,4,5,3,1,7,6,2]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[5,4,7,1,3,8,2,6]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[6,4,8,1,7,5,2,3]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[5,6,8,7,2,1,3,4]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[8,5,7,6,4,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>23
[8,4,6,3,7,2,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[6,3,2,8,7,4,1,5]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[2,1,6,8,7,4,3,5]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[2,1,7,8,6,4,5,3]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[7,3,2,8,6,4,5,1]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[7,6,8,5,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>25
[5,7,8,6,2,3,1,4]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[5,8,7,6,3,2,1,4]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[6,8,7,5,3,2,4,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>18
[5,8,4,2,3,7,6,1]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[7,8,4,2,6,5,3,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[4,8,7,2,6,3,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[4,8,6,2,7,3,1,5]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[3,6,1,8,7,4,2,5]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[3,7,1,8,6,4,5,2]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[3,8,1,6,7,5,2,4]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[3,7,1,6,8,2,5,4]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[4,7,6,2,8,1,3,5]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[6,7,4,2,8,1,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[6,8,4,2,7,5,1,3]=>[[1,2],[3,5],[4,6],[7,8]]=>16
[2,1,8,6,7,5,3,4]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[8,3,2,6,7,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[8,6,4,3,7,5,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[5,8,6,7,3,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[6,7,5,8,1,3,4,2]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[7,6,5,8,1,4,3,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>24
[8,6,5,7,4,1,3,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>23
[7,6,4,3,8,1,5,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>19
[7,3,2,6,8,1,5,4]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[2,1,7,6,8,3,5,4]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[7,5,6,8,1,4,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[6,5,7,8,1,2,4,3]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[8,1,3,7,4,6,5,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[5,2,8,7,4,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[1,6,2,5,4,7,3,8]=>[[1,2,4,6,8],[3],[5],[7]]=>15
[6,2,7,5,4,8,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[8,1,3,5,4,7,6,2]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[6,1,5,4,3,8,7,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[6,1,8,3,4,5,7,2]=>[[1,3,5,6,7],[2,4],[8]]=>14
[7,1,5,3,4,8,6,2]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[7,1,4,3,5,6,8,2]=>[[1,3,5,6,7],[2],[4],[8]]=>16
[8,1,3,4,5,6,7,2]=>[[1,3,4,5,6,7],[2],[8]]=>9
[1,7,2,4,5,6,3,8]=>[[1,2,4,5,6,8],[3],[7]]=>9
[6,3,2,7,5,1,8,4]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[8,4,7,2,5,6,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[6,5,8,2,4,7,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[8,5,2,1,4,3,7,6]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[6,5,2,8,4,1,3,7]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[5,6,2,1,4,8,3,7]=>[[1,2,6],[3,5,8],[4,7]]=>15
[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]]=>9
[3,4,1,2,8,6,5,7]=>[[1,2,5,8],[3,4,6],[7]]=>10
[4,3,1,2,6,8,5,7]=>[[1,4,5,6],[2,7,8],[3]]=>10
[5,8,1,6,3,2,4,7]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[6,3,8,5,2,1,4,7]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[8,3,1,5,2,4,7,6]=>[[1,4,6,7],[2,5,8],[3]]=>13
[3,8,2,6,1,5,7,4]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[3,8,6,7,2,1,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[8,5,6,4,2,1,7,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[7,2,5,8,3,1,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[1,7,5,6,3,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[6,1,2,3,8,5,7,4]=>[[1,3,4,5,7],[2,6],[8]]=>12
[7,1,2,3,6,5,8,4]=>[[1,3,4,5,7],[2],[6],[8]]=>14
[7,2,1,3,8,6,4,5]=>[[1,4,5,8],[2,6],[3,7]]=>12
[1,5,7,3,2,4,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>9
[5,2,7,3,1,8,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>15
[5,8,2,4,1,3,7,6]=>[[1,2,7],[3,4,8],[5,6]]=>9
[8,7,2,6,3,4,1,5]=>[[1,4,6,8],[2],[3],[5],[7]]=>19
[4,8,1,6,3,2,7,5]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[3,1,8,6,4,2,7,5]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[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]]=>12
[4,2,1,3,7,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>10
[2,4,1,3,8,7,5,6]=>[[1,2,5,8],[3,4,6],[7]]=>10
[2,5,8,3,1,7,4,6]=>[[1,2,3,8],[4,6],[5,7]]=>10
[8,6,1,3,7,2,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[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]]=>10
[5,1,8,3,2,4,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>13
[1,4,2,7,8,6,3,5]=>[[1,2,4,5],[3,6,8],[7]]=>11
[1,6,2,4,8,5,3,7]=>[[1,2,4,5,8],[3,6],[7]]=>10
[1,6,2,4,7,5,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>10
[1,7,3,8,5,2,4,6]=>[[1,2,4,8],[3,5],[6,7]]=>12
[1,7,3,2,8,6,4,5]=>[[1,2,5,8],[3,6],[4,7]]=>11
[4,2,5,7,8,6,1,3]=>[[1,3,4,5],[2,6],[7,8]]=>12
[7,2,3,1,8,5,6,4]=>[[1,3,5,7],[2,6],[4,8]]=>18
[8,2,5,1,7,3,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>16
[6,2,1,8,3,4,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>14
[6,2,8,3,5,1,7,4]=>[[1,3,5,7],[2,4],[6,8]]=>18
[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]]=>10
[1,3,6,4,7,5,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>10
[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]]=>10
[7,8,2,1,4,3,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>12
[7,6,4,2,3,1,8,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[5,7,2,3,1,6,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>9
[7,5,4,2,6,8,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[1,7,5,3,4,6,8,2]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[8,2,5,4,6,7,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[5,2,6,3,1,8,7,4]=>[[1,3,6],[2,4,7],[5,8]]=>16
[8,2,6,4,3,1,7,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[8,2,7,4,1,3,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[1,2,8,4,3,5,6,7]=>[[1,2,3,6,7,8],[4],[5]]=>6
[1,7,4,2,3,5,6,8]=>[[1,2,5,6,7,8],[3],[4]]=>7
[6,8,4,1,3,2,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[1,8,7,4,3,2,5,6]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[1,6,3,8,2,4,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>16
[5,3,8,1,2,7,4,6]=>[[1,3,6,8],[2,5],[4,7]]=>20
[5,1,8,3,2,6,4,7]=>[[1,3,6,8],[2,4],[5,7]]=>16
[5,7,3,1,2,6,4,8]=>[[1,2,6,8],[3,5],[4,7]]=>14
[1,7,5,4,2,6,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[1,5,8,2,4,6,3,7]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,5,8,4,2,7,3,6]=>[[1,2,3,8],[4,6],[5,7]]=>10
[1,4,6,2,8,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>9
[5,3,1,6,7,2,4,8]=>[[1,4,5,8],[2,6,7],[3]]=>11
[5,3,6,1,2,8,4,7]=>[[1,3,6,8],[2,5,7],[4]]=>19
[1,6,3,2,7,8,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>9
[1,7,4,5,3,8,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[6,3,4,1,2,5,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>18
[6,3,1,4,2,7,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>14
[1,8,3,2,4,5,6,7]=>[[1,2,5,6,7,8],[3],[4]]=>7
[8,6,3,2,4,1,7,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[8,5,3,2,6,7,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[4,5,2,6,8,1,7,3]=>[[1,2,4,5],[3,7],[6,8]]=>13
[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]]=>12
[6,2,3,4,1,7,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>13
[7,2,3,1,4,5,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>14
[8,6,1,4,3,2,5,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[8,3,1,6,5,2,4,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[3,7,5,1,8,2,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>10
[4,1,5,2,8,7,3,6]=>[[1,3,5,8],[2,4,6],[7]]=>16
[8,1,2,4,6,5,3,7]=>[[1,3,4,5,8],[2],[6],[7]]=>13
[8,1,2,5,4,6,3,7]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[8,2,6,5,1,3,4,7]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[8,3,1,6,2,5,4,7]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[8,1,2,6,4,5,3,7]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[8,1,2,5,6,4,3,7]=>[[1,3,4,5,8],[2],[6],[7]]=>13
[8,1,2,6,5,4,3,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[1,7,5,4,2,8,3,6]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[5,1,4,8,2,7,3,6]=>[[1,3,4,8],[2,6],[5,7]]=>16
[1,4,6,8,2,7,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>6
[1,4,7,6,2,8,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>8
[5,1,4,7,2,8,3,6]=>[[1,3,4,6],[2,7,8],[5]]=>14
[1,7,4,5,2,8,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>13
[3,7,5,1,2,8,4,6]=>[[1,2,6,8],[3,5,7],[4]]=>13
[5,7,2,8,1,3,4,6]=>[[1,2,4,8],[3,6,7],[5]]=>14
[5,2,8,7,1,3,4,6]=>[[1,3,7,8],[2,4],[5,6]]=>14
[4,1,5,8,2,7,3,6]=>[[1,3,4,8],[2,5,6],[7]]=>12
[1,4,6,2,8,7,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>10
[1,4,2,8,6,7,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>14
[3,1,2,6,4,8,7,5]=>[[1,3,4,6],[2,5,7],[8]]=>14
[2,1,7,6,3,4,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>14
[3,1,2,7,4,6,8,5]=>[[1,3,4,6,7],[2,5],[8]]=>13
[1,4,7,2,6,8,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>9
[1,2,3,6,8,5,7,4]=>[[1,2,3,4,5],[6,7],[8]]=>4
[5,1,4,2,7,8,3,6]=>[[1,3,5,6],[2,7,8],[4]]=>15
[1,4,2,7,6,8,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>14
[1,4,2,6,8,7,3,5]=>[[1,2,4,5],[3,6,8],[7]]=>11
[3,1,2,8,4,6,7,5]=>[[1,3,4,6,7],[2,5],[8]]=>13
[3,1,2,7,6,4,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13
[5,3,7,1,8,2,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>16
[1,7,4,3,2,5,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[4,8,7,2,1,3,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[1,8,7,3,4,2,5,6]=>[[1,2,5,7,8],[3],[4],[6]]=>12
[3,1,7,8,2,6,4,5]=>[[1,3,4,8],[2,5,6],[7]]=>12
[1,4,2,7,8,3,6,5]=>[[1,2,4,5],[3,6,7],[8]]=>10
[5,2,8,1,3,4,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>19
[2,1,8,6,3,4,7,5]=>[[1,3,6,7],[2,4,8],[5]]=>14
[1,4,2,6,8,3,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>10
[1,2,3,7,8,5,6,4]=>[[1,2,3,4,5],[6,7],[8]]=>4
[1,2,3,7,5,8,6,4]=>[[1,2,3,4,6],[5,7],[8]]=>7
[1,4,2,7,3,8,6,5]=>[[1,2,4,6],[3,5,7],[8]]=>13
[3,1,7,2,8,6,4,5]=>[[1,3,5,8],[2,4,6],[7]]=>16
[2,1,7,8,3,4,6,5]=>[[1,3,4,7],[2,5,6],[8]]=>13
[1,2,3,8,7,5,6,4]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[4,7,8,5,6,2,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[5,7,8,4,2,6,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[6,7,8,4,2,5,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[8,6,3,7,2,1,5,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>20
[7,6,3,8,2,1,5,4]=>[[1,4],[2,7],[3,8],[5],[6]]=>20
[6,7,8,3,2,1,5,4]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[5,7,8,3,2,1,6,4]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[2,7,8,4,3,5,6,1]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[3,7,8,4,2,5,1,6]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[4,7,8,3,2,1,5,6]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[5,7,8,3,2,1,4,6]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[7,6,3,8,2,1,4,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[8,6,3,7,2,1,4,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[5,6,3,8,2,1,4,7]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[3,6,4,8,2,5,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[2,6,4,8,3,5,7,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[2,6,4,7,3,5,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[3,6,4,7,2,5,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[4,6,3,7,2,1,5,8]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[5,6,3,7,2,1,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[8,4,3,2,1,6,5,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[6,4,3,2,1,7,5,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[4,5,3,2,7,1,6,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[3,5,4,2,8,6,1,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[6,4,3,2,1,8,5,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[7,4,3,2,1,8,5,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[8,4,3,2,1,7,5,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[8,4,3,2,1,7,6,5]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[7,4,3,2,1,8,6,5]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[6,4,3,2,1,8,7,5]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[5,6,3,8,2,1,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[7,5,3,2,8,1,6,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>19
[8,5,4,2,7,6,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[7,5,4,2,8,6,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[6,5,4,2,8,7,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[4,6,5,8,7,2,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[2,6,5,7,8,3,4,1]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[6,5,4,2,7,8,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[8,5,4,2,6,7,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[8,5,3,2,6,1,7,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[7,5,3,2,6,1,8,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[5,6,3,7,2,1,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[4,6,3,7,2,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[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]]=>15
[3,5,4,2,7,8,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[4,5,3,2,7,1,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[7,4,3,2,1,6,8,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[8,4,3,2,1,6,7,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[8,4,3,2,1,5,7,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[7,4,3,2,1,5,8,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[6,4,3,2,1,5,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[3,5,4,2,6,8,1,7]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[8,5,3,7,2,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[8,5,7,4,2,6,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>22
[6,8,3,7,5,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>15
[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]]=>16
[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]]=>14
[3,1,5,4,2,8,6,7]=>[[1,3,6,8],[2,4,7],[5]]=>15
[4,1,5,8,3,2,6,7]=>[[1,3,4,8],[2,5,7],[6]]=>14
[4,3,8,5,2,1,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[4,7,3,5,2,1,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[4,3,2,7,5,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[4,3,6,2,5,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[4,6,3,2,5,1,7,8]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[4,3,1,5,7,2,6,8]=>[[1,4,5,8],[2,6,7],[3]]=>11
[4,3,6,1,5,2,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>18
[4,6,3,1,5,2,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>12
[5,3,6,4,1,2,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>14
[4,3,6,1,7,2,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>16
[6,2,4,1,3,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>18
[3,6,4,1,2,7,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>13
[4,6,3,1,7,2,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>10
[5,6,2,7,1,3,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>14
[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]]=>10
[3,2,6,1,4,7,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>19
[3,5,2,7,4,6,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>11
[3,7,2,4,8,5,1,6]=>[[1,2,5,8],[3,4,6],[7]]=>10
[7,3,1,4,6,8,2,5]=>[[1,4,5,6],[2,7,8],[3]]=>10
[3,2,6,1,5,7,4,8]=>[[1,3,6,8],[2,5],[4,7]]=>20
[6,3,2,1,5,7,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[6,4,2,1,5,3,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[4,2,6,1,5,3,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>18
[4,2,1,7,5,3,6,8]=>[[1,4,7,8],[2,5],[3,6]]=>13
[7,4,1,5,6,2,3,8]=>[[1,4,5,8],[2,6,7],[3]]=>11
[7,3,1,5,2,6,4,8]=>[[1,4,6,8],[2,5,7],[3]]=>14
[6,3,5,1,2,7,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>19
[5,2,6,4,1,3,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>14
[3,6,5,1,2,7,4,8]=>[[1,2,6,8],[3,5,7],[4]]=>13
[6,5,2,1,4,7,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[6,5,3,1,4,7,2,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[2,3,1,8,5,4,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>12
[2,4,1,5,8,3,7,6]=>[[1,2,4,5],[3,6,7],[8]]=>10
[2,4,1,5,3,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>13
[3,4,5,1,2,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>8
[3,4,5,1,8,2,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>9
[3,4,5,8,2,1,7,6]=>[[1,2,3,4],[5,7],[6,8]]=>8
[3,4,5,2,8,1,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>12
[3,4,6,2,1,7,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>7
[3,4,6,2,1,7,5,8]=>[[1,2,3,6,8],[4,7],[5]]=>8
[3,5,6,2,7,1,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>11
[3,5,6,2,7,1,8,4]=>[[1,2,3,5,7],[4,8],[6]]=>10
[3,5,6,2,7,8,1,4]=>[[1,2,3,5,6],[4,8],[7]]=>9
[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]]=>7
[3,4,6,2,8,7,5,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[3,5,6,2,7,8,4,1]=>[[1,2,3,5,6],[4,7],[8]]=>8
[3,5,6,2,7,4,1,8]=>[[1,2,3,5,8],[4,6],[7]]=>9
[4,5,6,7,2,8,3,1]=>[[1,2,3,4,6],[5,7],[8]]=>7
[3,5,6,8,7,2,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[2,5,8,6,7,3,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[2,5,8,6,7,3,1,4]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[3,5,6,8,7,2,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[4,5,6,7,2,1,8,3]=>[[1,2,3,4,7],[5,8],[6]]=>6
[2,3,1,8,6,7,4,5]=>[[1,2,4,6],[3,5,8],[7]]=>14
[1,8,3,2,6,7,5,4]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[2,5,1,6,7,8,4,3]=>[[1,2,4,5,6],[3,7],[8]]=>9
[2,5,1,6,7,4,8,3]=>[[1,2,4,5,7],[3,6],[8]]=>11
[2,5,1,6,7,4,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>10
[3,5,6,1,7,4,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>9
[3,5,6,1,7,4,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>10
[3,4,6,8,1,7,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[2,4,8,6,1,7,5,3]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[3,5,6,8,7,1,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[4,5,6,7,8,1,3,2]=>[[1,2,3,4,5],[6,7],[8]]=>4
[4,5,6,7,1,3,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>6
[4,5,6,7,1,3,2,8]=>[[1,2,3,4,8],[5,6],[7]]=>5
[4,5,6,7,3,1,8,2]=>[[1,2,3,4,7],[5,8],[6]]=>6
[3,5,6,8,7,4,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[2,5,8,6,7,4,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[1,8,5,6,7,4,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[2,5,8,6,7,4,3,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>14
[8,2,5,3,7,1,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[8,2,4,3,7,1,6,5]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[5,8,2,4,3,7,1,6]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[4,2,5,6,1,8,3,7]=>[[1,3,4,6],[2,7,8],[5]]=>14
[4,2,5,6,1,7,3,8]=>[[1,3,4,6,8],[2,7],[5]]=>14
[6,1,5,7,3,2,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[6,1,5,8,3,2,4,7]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[3,8,2,4,7,1,5,6]=>[[1,2,5,8],[3,4],[6,7]]=>11
[3,6,8,2,4,7,1,5]=>[[1,2,3],[4,5,6],[7,8]]=>7
[4,3,5,6,7,1,8,2]=>[[1,3,4,5,7],[2,8],[6]]=>12
[3,7,1,5,6,8,2,4]=>[[1,2,5,6],[3,4,8],[7]]=>10
[3,7,1,5,8,2,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>12
[8,3,2,4,6,1,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[7,3,2,4,6,1,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[3,2,5,1,7,4,6,8]=>[[1,3,5,8],[2,6,7],[4]]=>16
[3,2,5,1,8,4,6,7]=>[[1,3,5,8],[2,6,7],[4]]=>16
[3,2,5,1,7,8,4,6]=>[[1,3,5,6],[2,7,8],[4]]=>15
[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]]=>14
[4,2,5,6,1,7,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>13
[5,7,6,1,8,3,4,2]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[5,8,6,1,7,3,4,2]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[6,1,5,8,7,3,2,4]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[8,7,3,2,4,6,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[3,2,5,1,8,7,4,6]=>[[1,3,5],[2,6,8],[4,7]]=>18
[3,2,5,1,6,4,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>16
[3,2,4,1,8,7,5,6]=>[[1,3,5,8],[2,6],[4,7]]=>17
[3,2,5,1,6,8,7,4]=>[[1,3,5,6],[2,7],[4,8]]=>16
[3,8,6,5,1,7,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[3,7,6,5,1,8,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[6,5,1,7,8,4,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[3,2,5,1,6,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>14
[3,2,4,1,8,5,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>16
[3,2,4,1,7,5,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>16
[3,2,4,1,6,8,5,7]=>[[1,3,5,6],[2,7,8],[4]]=>15
[3,2,4,1,8,5,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>18
[8,3,2,4,7,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[3,2,5,1,8,4,7,6]=>[[1,3,5],[2,6,7],[4,8]]=>17
[3,2,5,1,6,7,4,8]=>[[1,3,5,6,8],[2,7],[4]]=>15
[6,5,1,7,4,2,3,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[6,5,1,8,4,2,3,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[8,4,2,3,7,5,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[4,2,6,1,8,3,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>17
[5,2,6,1,8,3,7,4]=>[[1,3,5],[2,6,7],[4,8]]=>17
[8,4,6,1,7,3,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[5,2,6,1,8,4,7,3]=>[[1,3,5],[2,6,7],[4,8]]=>17
[7,4,2,3,8,5,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[8,5,1,6,4,2,3,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[7,5,1,6,4,2,3,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[3,2,5,1,7,6,4,8]=>[[1,3,5,8],[2,6],[4,7]]=>17
[3,2,5,1,8,6,4,7]=>[[1,3,5,8],[2,6],[4,7]]=>17
[7,3,2,4,8,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[8,6,1,5,7,3,2,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[4,2,6,1,8,5,7,3]=>[[1,3,5],[2,6,7],[4,8]]=>17
[8,5,6,1,7,3,4,2]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[3,6,8,5,1,7,4,2]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[8,5,1,6,7,4,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[3,2,5,1,8,6,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>18
[3,2,4,1,8,6,5,7]=>[[1,3,5,8],[2,6],[4,7]]=>17
[3,2,4,1,5,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>15
[3,2,5,1,7,8,6,4]=>[[1,3,5,6],[2,7],[4,8]]=>16
[7,8,5,1,6,4,2,3]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[3,8,5,1,7,6,4,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[3,7,5,1,8,6,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[8,7,5,1,6,4,2,3]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[3,2,5,1,8,7,6,4]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[6,5,7,3,1,8,4,2]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[4,6,3,7,1,8,5,2]=>[[1,2,4,6],[3,7],[5,8]]=>14
[4,6,3,7,5,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>13
[4,2,6,1,7,5,3,8]=>[[1,3,5,8],[2,6],[4,7]]=>17
[2,5,7,4,1,6,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>10
[2,5,7,4,1,6,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>11
[5,4,7,3,6,1,8,2]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[5,4,7,8,3,1,6,2]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[4,3,7,5,1,8,6,2]=>[[1,3,6],[2,4,7],[5,8]]=>16
[6,4,3,8,5,1,7,2]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[5,8,4,3,6,1,7,2]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[5,4,8,3,6,1,7,2]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[5,4,3,6,7,1,8,2]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[2,5,4,6,1,7,3,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[3,2,5,8,1,6,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>17
[2,5,4,6,8,1,7,3]=>[[1,2,4,5],[3,7],[6,8]]=>13
[5,2,8,4,1,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>15
[4,6,2,1,8,5,7,3]=>[[1,2,5],[3,6,7],[4,8]]=>11
[2,4,1,7,5,8,6,3]=>[[1,2,4,6],[3,5,7],[8]]=>13
[2,4,1,7,5,3,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>12
[2,6,4,1,8,5,3,7]=>[[1,2,5,8],[3,6],[4,7]]=>11
[5,4,8,2,1,6,3,7]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[2,5,8,4,1,6,3,7]=>[[1,2,3,8],[4,6],[5,7]]=>10
[3,2,5,6,1,8,4,7]=>[[1,3,4,6],[2,7,8],[5]]=>14
[4,8,3,2,6,1,5,7]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[3,5,2,8,1,6,4,7]=>[[1,2,4,8],[3,6],[5,7]]=>15
[3,2,1,6,8,5,4,7]=>[[1,4,5],[2,6,8],[3,7]]=>13
[3,2,7,1,5,4,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>19
[3,2,7,1,5,8,6,4]=>[[1,3,6],[2,5,7],[4,8]]=>20
[3,8,2,5,1,6,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>9
[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]]=>23
[4,3,2,6,7,8,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[4,3,2,6,7,1,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[4,3,7,2,6,8,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[4,3,7,8,2,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[2,5,7,4,8,1,6,3]=>[[1,2,3,5],[4,7],[6,8]]=>12
[3,2,5,7,8,1,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>14
[3,2,5,7,1,6,8,4]=>[[1,3,4,7],[2,6],[5,8]]=>17
[3,2,5,7,1,6,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>16
[6,3,2,7,1,5,4,8]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[6,3,2,7,1,5,8,4]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[6,3,2,7,8,1,5,4]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[4,2,6,1,7,8,5,3]=>[[1,3,5,6],[2,7],[4,8]]=>16
[6,5,2,1,7,8,4,3]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[2,1,7,5,3,8,6,4]=>[[1,3,6],[2,4,7],[5,8]]=>16
[6,2,1,8,5,3,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>14
[6,3,2,7,1,4,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[6,3,2,1,4,7,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[6,3,2,1,4,7,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[3,5,2,1,7,4,6,8]=>[[1,2,5,8],[3,6,7],[4]]=>10
[3,5,2,1,7,8,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>9
[5,8,4,2,1,7,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[4,6,2,1,8,3,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>11
[2,4,1,7,3,8,6,5]=>[[1,2,4,6],[3,5,7],[8]]=>13
[3,2,7,1,4,8,6,5]=>[[1,3,6],[2,5,7],[4,8]]=>20
[3,5,8,2,1,7,4,6]=>[[1,2,3],[4,6,8],[5,7]]=>11
[4,8,3,7,2,1,5,6]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[4,3,7,2,8,1,5,6]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[4,3,7,2,1,5,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[4,8,3,2,7,1,5,6]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[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]]=>19
[3,2,1,4,7,5,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>12
[5,3,2,1,8,4,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[4,8,3,2,1,5,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[4,3,8,2,1,5,6,7]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[6,2,3,1,5,4,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>17
[8,4,5,2,3,1,7,6]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[8,6,7,2,5,3,4,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,2,5,3,4,1,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[6,2,5,3,4,1,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[6,1,5,2,4,3,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[6,4,5,1,3,2,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[6,1,5,3,4,2,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[6,3,5,1,4,2,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[8,3,5,2,4,1,7,6]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[8,3,7,5,6,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[8,3,7,2,4,1,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[8,3,5,1,4,2,7,6]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[8,1,5,3,4,2,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,4,5,1,3,2,7,6]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[2,1,8,4,5,3,7,6]=>[[1,3,5,7],[2,4,8],[6]]=>17
[8,6,7,4,5,1,3,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[8,6,7,1,5,3,4,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,6,7,3,5,1,4,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[8,3,7,5,6,1,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[8,5,7,3,6,1,4,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[8,3,7,4,6,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[8,3,7,4,6,1,5,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[8,3,7,1,6,4,5,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,1,7,3,6,4,5,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[8,1,7,5,6,3,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[8,4,7,5,6,1,3,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[2,1,8,4,7,5,6,3]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[8,1,7,3,4,2,6,5]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,1,7,3,6,2,5,4]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[8,3,7,1,6,2,5,4]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,3,7,2,6,4,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,2,7,3,6,4,5,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[8,2,7,3,6,1,5,4]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[8,2,7,1,6,3,5,4]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,1,7,2,4,3,6,5]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,1,3,2,7,4,6,5]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[2,1,8,3,7,4,6,5]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[8,1,5,2,4,3,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,2,7,1,4,3,6,5]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[8,2,7,3,4,1,6,5]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,2,7,5,6,3,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[8,4,7,5,6,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[8,4,7,2,3,1,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[8,2,3,1,7,4,6,5]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[8,2,3,1,5,4,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>17
[4,2,3,1,8,5,7,6]=>[[1,3,5,7],[2,6],[4,8]]=>18
[4,1,3,2,8,6,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>18
[8,6,7,2,3,1,5,4]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[8,2,3,1,7,5,6,4]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[8,5,7,2,6,3,4,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,5,7,2,6,1,4,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[8,2,7,5,6,1,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[8,6,7,2,5,1,4,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[8,6,7,1,5,2,4,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,6,7,1,3,2,5,4]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[2,1,8,6,7,3,5,4]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[2,1,8,3,7,5,6,4]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[8,1,3,2,7,5,6,4]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[8,1,7,5,6,2,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[8,1,7,2,6,4,5,3]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[8,2,7,1,6,4,5,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,2,7,4,6,1,5,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[8,2,7,4,6,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[8,4,7,2,6,3,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,4,7,2,6,1,5,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[8,4,7,1,6,2,5,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,1,7,4,6,2,5,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[8,5,7,1,6,2,4,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[2,1,8,5,7,3,6,4]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[8,5,7,4,6,1,3,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[8,5,7,1,6,3,4,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,1,7,4,6,3,5,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[8,4,7,1,6,3,5,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,4,7,3,6,1,5,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[2,4,8,3,6,1,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>8
[6,5,8,1,3,2,7,4]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[4,5,8,6,3,2,7,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>12
[6,5,8,7,3,1,2,4]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[1,5,8,7,3,6,2,4]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[1,7,2,8,4,6,5,3]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[6,7,2,8,4,1,5,3]=>[[1,2,4],[3,5,7],[6,8]]=>14
[3,6,2,8,4,5,7,1]=>[[1,2,4,7],[3,5,6],[8]]=>12
[2,6,1,8,4,5,7,3]=>[[1,2,4,7],[3,5,6],[8]]=>12
[2,8,4,6,1,5,7,3]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[6,3,1,8,4,5,7,2]=>[[1,4,6,7],[2,5],[3,8]]=>14
[3,1,6,8,4,5,7,2]=>[[1,3,4,7],[2,5,6],[8]]=>13
[2,3,6,8,4,5,7,1]=>[[1,2,3,4,7],[5,6],[8]]=>6
[6,3,7,8,4,1,5,2]=>[[1,3,4],[2,5,7],[6,8]]=>15
[1,3,7,8,4,6,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[1,5,7,8,2,4,6,3]=>[[1,2,3,4],[5,6,7],[8]]=>5
[5,1,7,8,2,4,6,3]=>[[1,3,4,7],[2,5,6],[8]]=>13
[3,6,7,8,4,2,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[7,6,1,8,4,2,5,3]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[5,6,8,7,3,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[2,8,3,7,1,6,5,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[5,2,8,7,3,6,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[7,2,1,8,4,6,5,3]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[3,2,7,8,4,6,5,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[5,2,7,8,1,4,6,3]=>[[1,3,4],[2,6,7],[5,8]]=>16
[1,2,7,8,5,4,6,3]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[4,2,1,3,8,5,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>11
[7,2,5,8,3,4,6,1]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[6,2,8,5,4,3,1,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[2,8,3,5,4,1,6,7]=>[[1,2,4,7,8],[3],[5],[6]]=>13
[2,8,4,5,3,1,6,7]=>[[1,2,4,7,8],[3],[5],[6]]=>13
[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]]=>17
[4,3,1,2,8,5,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>11
[3,4,2,1,8,5,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>10
[2,7,6,8,4,3,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[5,7,1,8,3,4,6,2]=>[[1,2,4,7],[3,5,6],[8]]=>12
[3,7,5,8,1,4,6,2]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[1,7,5,8,3,4,6,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[1,6,8,5,4,3,2,7]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[4,6,8,5,1,3,2,7]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[5,6,8,1,4,3,2,7]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[7,5,8,6,3,4,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[2,4,8,3,6,5,1,7]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[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]]=>15
[5,6,8,4,1,3,2,7]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[4,6,8,1,5,3,2,7]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[1,6,8,4,5,3,2,7]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[1,7,3,8,5,4,6,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[3,7,1,8,5,4,6,2]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[2,7,3,8,4,6,5,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[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]]=>13
[2,8,7,4,1,6,5,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[2,8,5,4,3,1,6,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[6,5,8,4,2,3,1,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[4,1,3,2,8,5,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>16
[1,4,3,2,8,5,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>10
[7,3,2,8,5,4,6,1]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[6,4,8,2,5,3,1,7]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[2,8,4,3,5,1,6,7]=>[[1,2,5,7,8],[3],[4],[6]]=>12
[2,8,3,4,5,1,6,7]=>[[1,2,4,5,7,8],[3],[6]]=>10
[6,2,8,4,5,3,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[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]]=>16
[3,2,1,4,8,5,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>11
[5,1,3,2,4,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>15
[2,8,1,5,3,4,7,6]=>[[1,2,6,7],[3,4,8],[5]]=>8
[1,2,8,4,5,3,7,6]=>[[1,2,3,5,7],[4,8],[6]]=>10
[1,4,2,8,5,3,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>11
[1,8,4,2,5,3,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>10
[8,1,5,3,2,4,6,7]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[3,8,1,5,2,4,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>7
[3,5,1,4,8,2,6,7]=>[[1,2,5,8],[3,4,7],[6]]=>12
[1,5,2,8,4,3,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>11
[1,2,8,5,4,3,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[1,2,5,4,3,8,6,7]=>[[1,2,3,6,8],[4,7],[5]]=>8
[1,2,4,8,5,3,7,6]=>[[1,2,3,4,7],[5,8],[6]]=>6
[1,2,7,4,8,5,3,6]=>[[1,2,3,5,8],[4,6],[7]]=>9
[1,5,2,7,8,4,3,6]=>[[1,2,4,5],[3,6,8],[7]]=>11
[5,1,2,7,4,8,3,6]=>[[1,3,4,6],[2,5,8],[7]]=>15
[8,3,5,1,4,7,2,6]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[2,8,1,5,4,7,3,6]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[1,2,8,5,7,4,3,6]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[1,2,4,8,7,5,3,6]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[2,8,1,4,3,7,6,5]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[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]]=>12
[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]]=>16
[7,1,6,2,8,4,3,5]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[1,6,7,2,8,4,3,5]=>[[1,2,3,5],[4,6,8],[7]]=>10
[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]]=>21
[3,7,8,1,5,2,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>8
[7,1,2,8,5,3,4,6]=>[[1,3,4,7,8],[2,5],[6]]=>12
[1,7,2,8,4,5,3,6]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,4,2,7,8,5,3,6]=>[[1,2,4,5],[3,6,8],[7]]=>11
[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]]=>13
[7,6,1,3,2,4,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[6,7,1,3,2,4,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>8
[1,2,7,3,5,8,4,6]=>[[1,2,3,5,6],[4,8],[7]]=>9
[1,2,7,5,8,3,4,6]=>[[1,2,3,5,8],[4,7],[6]]=>11
[5,8,1,3,7,2,4,6]=>[[1,2,5,8],[3,4],[6,7]]=>11
[1,2,5,8,7,3,4,6]=>[[1,2,3,4,8],[5,7],[6]]=>7
[1,2,5,8,3,7,4,6]=>[[1,2,3,4,8],[5,6],[7]]=>5
[2,8,1,7,3,5,4,6]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[8,6,1,3,2,4,7,5]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[4,2,8,1,7,3,6,5]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[2,8,1,7,4,3,6,5]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[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]]=>11
[1,2,8,7,4,5,3,6]=>[[1,2,3,6,8],[4],[5],[7]]=>10
[2,8,1,7,5,3,4,6]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[8,3,7,1,5,2,4,6]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[3,8,6,1,4,7,2,5]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[8,6,1,4,2,7,3,5]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[8,1,6,2,7,4,3,5]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[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]]=>12
[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]]=>12
[4,2,8,1,7,6,3,5]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[2,8,1,7,6,4,3,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[7,8,3,4,1,5,2,6]=>[[1,2,6,8],[3,4],[5,7]]=>10
[7,8,3,4,1,6,2,5]=>[[1,2,6],[3,4,8],[5,7]]=>11
[6,8,3,4,1,7,2,5]=>[[1,2,6],[3,4,8],[5,7]]=>11
[6,7,3,4,1,8,2,5]=>[[1,2,6],[3,4,8],[5,7]]=>11
[5,7,3,4,1,8,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>11
[5,8,3,4,1,7,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>11
[5,8,3,4,1,6,2,7]=>[[1,2,6,8],[3,4],[5,7]]=>10
[6,8,3,4,1,5,2,7]=>[[1,2,6,8],[3,4],[5,7]]=>10
[6,7,3,4,1,5,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>10
[5,7,3,4,1,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>10
[5,6,2,8,3,4,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>11
[5,6,2,7,3,4,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>11
[4,6,2,8,3,5,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>11
[4,7,3,5,1,6,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>10
[4,8,3,5,1,6,2,7]=>[[1,2,6,8],[3,4],[5,7]]=>10
[4,8,3,5,1,7,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>11
[4,7,3,5,1,8,2,6]=>[[1,2,6],[3,4,8],[5,7]]=>11
[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]]=>11
[5,6,2,4,1,7,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>10
[4,6,2,5,1,7,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>10
[4,6,2,5,1,8,3,7]=>[[1,2,6],[3,4,8],[5,7]]=>11
[4,5,1,8,3,7,2,6]=>[[1,2,4],[3,5,6],[7,8]]=>12
[4,5,1,7,3,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>14
[4,6,2,7,3,8,1,5]=>[[1,2,4,6],[3,5,8],[7]]=>14
[5,6,2,7,3,8,1,4]=>[[1,2,4,6],[3,5,8],[7]]=>14
[5,6,2,7,4,8,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>14
[5,6,3,8,4,7,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>12
[5,6,2,8,4,7,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>12
[5,6,2,8,3,7,1,4]=>[[1,2,4],[3,5,6],[7,8]]=>12
[4,6,2,8,3,7,1,5]=>[[1,2,4],[3,5,6],[7,8]]=>12
[4,5,1,7,3,6,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>11
[4,5,1,8,3,6,2,7]=>[[1,2,4,8],[3,5,6],[7]]=>11
[6,5,3,2,1,4,8,7]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[4,6,3,5,2,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[8,7,3,5,2,4,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[6,8,2,4,5,7,3,1]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[8,7,2,4,5,3,1,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[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]]=>21
[6,3,8,4,5,7,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[5,8,7,4,3,6,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>19
[2,8,7,4,3,6,1,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[8,1,7,4,3,6,2,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[8,7,3,5,1,4,2,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[2,1,6,8,5,7,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[6,8,3,5,1,7,4,2]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[5,1,8,4,7,6,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[2,5,8,4,7,6,3,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[4,3,8,1,5,6,7,2]=>[[1,3,6,7],[2,5],[4,8]]=>19
[4,8,1,3,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>8
[5,8,7,4,1,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[5,8,3,6,1,4,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[4,8,3,6,1,2,7,5]=>[[1,2,7],[3,4,8],[5,6]]=>9
[3,8,7,4,1,6,2,5]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[3,8,1,2,5,6,7,4]=>[[1,2,5,6,7],[3,4],[8]]=>8
[8,7,1,4,2,6,3,5]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[8,6,3,1,2,4,7,5]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[8,1,7,4,5,2,3,6]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[2,8,7,4,5,1,3,6]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[8,7,2,4,1,6,3,5]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[5,8,3,6,2,4,7,1]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[8,6,3,2,1,4,7,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[8,7,3,5,2,1,4,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[5,8,3,6,2,1,7,4]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[5,8,7,4,2,6,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[2,6,8,4,5,7,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>9
[6,1,8,4,5,7,2,3]=>[[1,3,5,6],[2,4],[7,8]]=>16
[6,8,3,5,1,7,2,4]=>[[1,2,6],[3,4,8],[5,7]]=>11
[2,1,5,8,3,6,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>13
[5,8,3,6,1,2,7,4]=>[[1,2,7],[3,4,8],[5,6]]=>9
[4,1,8,2,5,6,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>14
[2,4,8,1,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>7
[4,8,2,1,5,6,7,3]=>[[1,2,6,7],[3,5],[4,8]]=>13
[3,4,8,2,5,6,7,1]=>[[1,2,3,6,7],[4,5],[8]]=>7
[5,8,1,4,7,6,2,3]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[5,8,3,1,6,2,7,4]=>[[1,2,7],[3,5,8],[4,6]]=>13
[4,5,3,8,6,1,7,2]=>[[1,2,4,7],[3,5],[6,8]]=>13
[3,4,1,8,5,6,7,2]=>[[1,2,4,6,7],[3,5],[8]]=>12
[4,5,7,6,2,3,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[3,5,7,2,6,4,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[2,5,7,3,6,4,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[1,5,7,3,6,8,4,2]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[8,4,3,7,6,1,5,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[6,7,2,3,5,4,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[5,2,7,3,6,4,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[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]]=>17
[6,7,1,3,5,8,4,2]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[5,8,7,3,6,1,4,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>19
[4,8,3,7,6,1,5,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>15
[3,8,4,7,6,1,5,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[2,8,4,7,1,6,5,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[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]]=>21
[2,8,3,1,7,6,5,4]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[3,8,2,1,7,6,5,4]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[6,7,1,2,8,5,4,3]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[8,2,3,1,7,6,5,4]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[8,3,2,1,7,6,5,4]=>[[1,5],[2,6],[3,7],[4],[8]]=>17
[3,4,1,7,6,8,5,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[1,4,2,7,8,6,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[8,4,2,7,1,6,5,3]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[8,5,7,2,1,6,4,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>22
[1,5,7,2,8,6,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[2,5,7,1,8,6,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[3,5,7,1,6,8,4,2]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[6,7,4,5,8,1,3,2]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[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]]=>7
[1,5,7,8,2,6,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[8,5,7,1,2,6,4,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[8,4,1,7,2,6,5,3]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[1,4,8,7,2,6,5,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[3,4,8,7,6,1,5,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[4,3,8,7,6,1,5,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[5,3,7,8,6,1,4,2]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[6,7,2,8,1,5,4,3]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[5,2,7,8,1,6,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[4,2,8,7,1,6,5,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[3,2,8,1,7,6,5,4]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[1,3,8,2,7,6,5,4]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[8,3,1,2,7,6,5,4]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[8,2,1,3,7,6,5,4]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[1,2,8,3,7,6,5,4]=>[[1,2,3,5],[4],[6],[7],[8]]=>14
[2,1,8,3,7,6,5,4]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[4,1,8,7,2,6,5,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[5,1,7,8,2,6,4,3]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[6,7,1,8,2,5,4,3]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[5,8,7,1,2,6,4,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[4,8,1,7,2,6,5,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[3,8,1,2,7,6,5,4]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[2,8,1,3,7,6,5,4]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[1,8,2,3,7,6,5,4]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[8,1,2,3,7,6,5,4]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[6,7,1,8,4,5,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>12
[3,7,1,5,8,2,6,4]=>[[1,2,5],[3,4,7],[6,8]]=>13
[2,7,1,5,8,3,6,4]=>[[1,2,5],[3,4,7],[6,8]]=>13
[2,6,5,1,8,3,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>11
[3,6,5,1,8,2,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>11
[4,6,5,1,8,7,2,3]=>[[1,2,5],[3,6,8],[4,7]]=>12
[5,6,4,1,8,7,2,3]=>[[1,2,5],[3,6,8],[4,7]]=>12
[8,1,4,5,7,6,2,3]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[6,4,5,1,8,7,2,3]=>[[1,3,5],[2,6,8],[4,7]]=>18
[5,4,6,1,8,7,2,3]=>[[1,3,5],[2,6,8],[4,7]]=>18
[4,5,6,1,8,7,2,3]=>[[1,2,3,5],[4,6,8],[7]]=>10
[3,5,6,1,8,2,7,4]=>[[1,2,3,5],[4,6,7],[8]]=>9
[2,5,6,1,8,3,7,4]=>[[1,2,3,5],[4,6,7],[8]]=>9
[2,4,6,1,3,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>8
[3,4,6,1,2,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>8
[4,3,6,1,2,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>20
[5,3,6,1,8,2,7,4]=>[[1,3,5],[2,6,7],[4,8]]=>17
[7,3,1,5,8,2,6,4]=>[[1,4,5],[2,6,7],[3,8]]=>12
[8,1,3,5,7,2,6,4]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[8,1,2,5,7,3,6,4]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[7,2,1,5,8,3,6,4]=>[[1,4,5],[2,6,7],[3,8]]=>12
[6,2,5,1,8,3,7,4]=>[[1,3,5],[2,6,7],[4,8]]=>17
[4,2,6,1,3,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>20
[2,3,6,1,4,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>8
[4,2,5,3,1,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>16
[6,2,4,1,3,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>20
[7,2,1,4,3,8,6,5]=>[[1,4,6],[2,5,7],[3,8]]=>15
[8,1,2,4,3,7,6,5]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[8,1,3,4,2,7,6,5]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[7,3,1,4,2,8,6,5]=>[[1,4,6],[2,5,7],[3,8]]=>15
[6,3,4,1,2,8,7,5]=>[[1,3,6],[2,5,7],[4,8]]=>20
[4,6,3,1,2,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>14
[3,6,4,1,2,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>14
[2,6,4,1,3,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>14
[2,7,1,4,3,8,6,5]=>[[1,2,6],[3,4,7],[5,8]]=>10
[3,7,1,4,2,8,6,5]=>[[1,2,6],[3,4,7],[5,8]]=>10
[4,7,1,3,2,8,6,5]=>[[1,2,6],[3,4,7],[5,8]]=>10
[8,1,6,7,2,3,5,4]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[4,7,1,2,3,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>9
[3,7,1,2,4,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>9
[2,7,1,3,4,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>9
[2,6,3,1,4,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>10
[3,6,2,1,4,8,7,5]=>[[1,2,6],[3,5,7],[4,8]]=>14
[5,6,2,1,8,3,7,4]=>[[1,2,5],[3,6,7],[4,8]]=>11
[6,5,2,1,8,3,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[8,1,5,2,7,3,6,4]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[8,1,4,2,3,7,6,5]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[7,4,1,2,3,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>11
[6,4,2,1,3,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[5,4,2,3,1,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[3,5,2,4,1,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>10
[6,3,2,1,4,8,7,5]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[7,3,1,2,4,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>11
[8,1,3,2,4,7,6,5]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[8,1,2,3,4,7,6,5]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[7,2,1,3,4,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>11
[6,2,3,1,4,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>16
[2,4,3,6,1,5,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>15
[2,4,3,6,5,8,1,7]=>[[1,2,4,6],[3,5,8],[7]]=>14
[2,4,6,3,5,8,7,1]=>[[1,2,3,6],[4,5,7],[8]]=>8
[2,4,6,3,5,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>9
[2,4,6,1,5,3,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>7
[4,2,6,5,3,1,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[4,2,6,5,1,8,7,3]=>[[1,3,6],[2,4,7],[5,8]]=>16
[4,2,6,5,8,1,7,3]=>[[1,3,5],[2,4,7],[6,8]]=>19
[4,2,6,5,8,1,3,7]=>[[1,3,5],[2,4,8],[6,7]]=>18
[4,2,6,5,8,3,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[2,4,6,1,5,8,3,7]=>[[1,2,3,6],[4,5,8],[7]]=>9
[2,4,1,6,5,8,3,7]=>[[1,2,4,6],[3,5,8],[7]]=>14
[2,1,4,6,5,8,3,7]=>[[1,3,4,6],[2,5,8],[7]]=>15
[2,4,1,6,5,8,7,3]=>[[1,2,4,6],[3,5,7],[8]]=>13
[2,4,6,1,5,8,7,3]=>[[1,2,3,6],[4,5,7],[8]]=>8
[4,2,6,5,8,3,7,1]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[2,6,4,3,8,7,5,1]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[4,2,6,8,5,3,7,1]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[2,4,6,8,1,5,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>5
[2,4,6,1,8,5,7,3]=>[[1,2,3,5],[4,6,7],[8]]=>9
[2,4,1,6,8,5,7,3]=>[[1,2,4,5],[3,6,7],[8]]=>10
[2,1,4,6,8,5,7,3]=>[[1,3,4,5],[2,6,7],[8]]=>11
[2,1,4,6,8,5,3,7]=>[[1,3,4,5],[2,6,8],[7]]=>12
[2,4,1,6,8,5,3,7]=>[[1,2,4,5],[3,6,8],[7]]=>11
[2,4,6,1,8,5,3,7]=>[[1,2,3,5],[4,6,8],[7]]=>10
[2,4,6,8,1,5,3,7]=>[[1,2,3,4],[5,6,8],[7]]=>6
[4,2,6,8,5,1,3,7]=>[[1,3,4],[2,5,8],[6,7]]=>14
[2,4,6,8,3,5,7,1]=>[[1,2,3,4],[5,6,7],[8]]=>5
[2,4,6,8,3,5,1,7]=>[[1,2,3,4],[5,6,8],[7]]=>6
[2,4,6,8,3,1,5,7]=>[[1,2,3,4],[5,7,8],[6]]=>7
[2,4,6,3,1,8,5,7]=>[[1,2,3,6],[4,7,8],[5]]=>8
[2,4,6,3,8,1,5,7]=>[[1,2,3,5],[4,7,8],[6]]=>11
[2,4,6,3,8,5,1,7]=>[[1,2,3,5],[4,6,8],[7]]=>10
[2,4,6,3,8,5,7,1]=>[[1,2,3,5],[4,6,7],[8]]=>9
[2,4,3,6,8,5,7,1]=>[[1,2,4,5],[3,6,7],[8]]=>10
[2,4,3,6,8,5,1,7]=>[[1,2,4,5],[3,6,8],[7]]=>11
[2,4,3,6,8,1,5,7]=>[[1,2,4,5],[3,7,8],[6]]=>12
[2,4,3,1,6,8,5,7]=>[[1,2,5,6],[3,7,8],[4]]=>9
[2,4,1,3,6,8,7,5]=>[[1,2,5,6],[3,4,7],[8]]=>9
[2,4,3,6,1,8,7,5]=>[[1,2,4,6],[3,7],[5,8]]=>14
[2,4,3,6,8,1,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>13
[4,6,5,2,8,7,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[2,4,6,3,8,1,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>12
[2,1,4,6,8,3,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>11
[2,4,1,6,8,3,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>10
[2,4,6,1,8,3,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>9
[2,4,6,8,1,3,7,5]=>[[1,2,3,4],[5,6,7],[8]]=>5
[2,4,6,8,3,1,7,5]=>[[1,2,3,4],[5,7],[6,8]]=>8
[4,6,2,8,5,7,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>12
[6,2,4,8,7,1,3,5]=>[[1,3,4],[2,5,8],[6,7]]=>14
[6,4,2,8,7,5,3,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[2,6,4,8,1,7,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[2,6,4,1,8,7,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[2,6,1,4,8,7,5,3]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[2,1,6,4,8,7,5,3]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[2,6,1,4,8,7,3,5]=>[[1,2,5],[3,4,6],[7,8]]=>11
[6,4,2,8,7,5,1,3]=>[[1,4],[2,5],[3,6],[7,8]]=>17
[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]]=>9
[5,2,4,7,3,6,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[1,7,6,3,4,8,2,5]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[8,1,6,3,7,2,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[7,1,6,3,8,2,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[1,2,7,4,8,3,5,6]=>[[1,2,3,5,8],[4,7],[6]]=>11
[6,1,7,3,4,8,2,5]=>[[1,3,5,6],[2,4,8],[7]]=>16
[2,1,7,4,5,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>16
[5,1,4,7,3,8,2,6]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[4,3,1,7,5,8,2,6]=>[[1,4,6],[2,5,8],[3,7]]=>16
[2,8,6,3,7,1,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[6,8,1,3,7,2,4,5]=>[[1,2,5,8],[3,4],[6,7]]=>11
[5,8,2,1,7,3,4,6]=>[[1,2,7,8],[3,5],[4,6]]=>12
[5,7,2,1,8,3,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>10
[6,7,1,3,8,2,4,5]=>[[1,2,5,8],[3,4,7],[6]]=>12
[5,1,2,4,8,3,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>13
[4,3,6,1,5,8,2,7]=>[[1,3,6],[2,5,8],[4,7]]=>21
[2,6,1,4,5,8,3,7]=>[[1,2,5,6],[3,4,8],[7]]=>10
[6,5,1,3,4,8,2,7]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[1,6,2,4,8,3,5,7]=>[[1,2,4,5,8],[3,7],[6]]=>12
[8,5,1,3,7,2,4,6]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[1,5,3,2,8,4,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>10
[6,4,2,1,5,8,3,7]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[2,5,3,4,1,8,6,7]=>[[1,2,4,6,8],[3,7],[5]]=>13
[4,3,5,2,1,8,6,7]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[2,6,4,8,7,1,3,5]=>[[1,2,4],[3,5,8],[6,7]]=>13
[1,6,4,8,7,2,3,5]=>[[1,2,4,8],[3,5],[6,7]]=>12
[2,7,8,3,6,1,4,5]=>[[1,2,3,8],[4,5],[6,7]]=>7
[4,3,2,8,7,1,5,6]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[5,2,4,8,7,1,3,6]=>[[1,3,4],[2,5,8],[6,7]]=>14
[6,2,8,3,7,1,4,5]=>[[1,3,5,8],[2,4],[6,7]]=>17
[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]]=>9
[4,7,2,5,1,3,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>9
[3,7,2,1,5,4,8,6]=>[[1,2,7],[3,5,8],[4,6]]=>13
[3,8,2,1,5,4,7,6]=>[[1,2,7],[3,5,8],[4,6]]=>13
[8,3,2,1,5,4,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[8,3,2,1,6,4,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[8,4,2,5,1,6,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[8,3,2,1,5,6,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[8,3,2,1,4,6,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[3,8,2,1,4,5,7,6]=>[[1,2,6,7],[3,5],[4,8]]=>13
[3,7,2,1,4,5,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>12
[3,2,7,1,4,6,8,5]=>[[1,3,6,7],[2,5],[4,8]]=>19
[3,2,8,1,4,6,7,5]=>[[1,3,6,7],[2,5],[4,8]]=>19
[3,2,8,1,4,7,6,5]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[3,8,2,1,4,7,5,6]=>[[1,2,6,8],[3,5],[4,7]]=>14
[3,8,2,1,5,7,4,6]=>[[1,2,6],[3,5,8],[4,7]]=>15
[4,8,2,5,1,7,3,6]=>[[1,2,6],[3,4,8],[5,7]]=>11
[4,7,2,5,1,8,3,6]=>[[1,2,6],[3,4,8],[5,7]]=>11
[3,7,2,1,5,8,4,6]=>[[1,2,6],[3,5,8],[4,7]]=>15
[3,7,2,1,4,8,5,6]=>[[1,2,6,8],[3,5,7],[4]]=>13
[3,2,1,7,5,8,6,4]=>[[1,4,6],[2,5,7],[3,8]]=>15
[3,2,7,1,6,8,4,5]=>[[1,3,6],[2,5,8],[4,7]]=>21
[4,2,7,6,1,8,3,5]=>[[1,3,6],[2,4,8],[5,7]]=>17
[4,3,7,6,8,1,2,5]=>[[1,3,5],[2,4,8],[6,7]]=>18
[4,3,8,6,7,1,2,5]=>[[1,3,5],[2,4,8],[6,7]]=>18
[4,2,8,6,1,7,3,5]=>[[1,3,6],[2,4,8],[5,7]]=>17
[3,2,8,1,6,7,4,5]=>[[1,3,6],[2,5,8],[4,7]]=>21
[3,2,1,8,7,5,6,4]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[3,8,2,1,7,4,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>12
[3,2,8,1,7,4,6,5]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[3,2,8,1,6,4,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>19
[3,2,7,1,6,4,8,5]=>[[1,3,7],[2,5,8],[4,6]]=>19
[4,2,7,6,1,3,8,5]=>[[1,3,7],[2,4,8],[5,6]]=>15
[4,2,8,6,1,3,7,5]=>[[1,3,7],[2,4,8],[5,6]]=>15
[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]]=>8
[4,2,7,8,1,3,6,5]=>[[1,3,4],[2,6,7],[5,8]]=>16
[4,2,6,8,1,3,7,5]=>[[1,3,4],[2,6,7],[5,8]]=>16
[4,2,6,7,1,3,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>16
[3,2,6,1,8,4,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>17
[3,7,2,1,8,4,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>10
[3,7,2,1,8,5,4,6]=>[[1,2,5],[3,6,8],[4,7]]=>12
[4,7,3,8,5,1,2,6]=>[[1,2,4],[3,5,8],[6,7]]=>13
[4,3,7,8,6,1,2,5]=>[[1,3,4],[2,5,8],[6,7]]=>14
[3,2,7,1,8,6,4,5]=>[[1,3,5],[2,6,8],[4,7]]=>18
[3,2,1,6,8,5,7,4]=>[[1,4,5],[2,6,7],[3,8]]=>12
[3,2,6,1,8,7,4,5]=>[[1,3,5],[2,6,8],[4,7]]=>18
[4,2,6,8,1,7,3,5]=>[[1,3,4],[2,6,8],[5,7]]=>17
[4,3,6,8,7,1,2,5]=>[[1,3,4],[2,5,8],[6,7]]=>14
[4,2,6,7,1,8,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>14
[3,2,6,1,7,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>15
[3,4,6,8,7,5,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[5,3,6,4,8,7,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>17
[1,4,6,2,7,8,5,3]=>[[1,2,3,5,6],[4,7],[8]]=>8
[3,1,8,5,4,2,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[1,2,7,5,4,8,6,3]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[6,3,7,5,4,8,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[7,3,8,5,4,6,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[3,8,7,5,4,6,1,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[4,3,6,7,8,5,1,2]=>[[1,3,4,5],[2,6],[7,8]]=>12
[4,5,6,3,8,7,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>10
[3,6,8,5,4,7,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[6,8,3,5,4,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[7,6,3,5,4,8,1,2]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[1,6,2,5,4,8,7,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[7,1,2,5,8,3,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>14
[1,8,2,5,7,3,6,4]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[6,2,1,5,4,8,7,3]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[4,1,6,2,8,7,5,3]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[7,8,1,2,4,6,5,3]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[7,8,3,1,4,2,6,5]=>[[1,2,7],[3,5,8],[4,6]]=>13
[4,3,6,1,8,2,7,5]=>[[1,3,5],[2,6,7],[4,8]]=>17
[2,3,8,5,4,1,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[4,8,1,5,2,3,7,6]=>[[1,2,6,7],[3,4,8],[5]]=>8
[7,5,1,6,4,3,2,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[5,8,1,6,4,3,2,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[6,1,5,7,4,3,2,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[1,5,8,6,4,3,2,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[3,4,6,1,5,8,2,7]=>[[1,2,3,6],[4,5,8],[7]]=>9
[7,8,4,1,5,3,2,6]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[7,8,5,1,6,3,2,4]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[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]]=>12
[6,8,1,7,4,3,2,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[5,6,1,7,4,3,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[5,1,7,6,4,3,2,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[6,1,7,8,4,3,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[7,1,8,6,4,3,2,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[1,8,7,6,4,3,2,5]=>[[1,2,8],[3],[4],[5],[6],[7]]=>16
[2,1,7,5,6,3,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>17
[3,1,6,7,5,8,2,4]=>[[1,3,4,6],[2,5,8],[7]]=>15
[7,8,1,6,5,3,2,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[7,8,2,1,4,5,6,3]=>[[1,2,6,7],[3,5],[4,8]]=>13
[2,8,1,5,4,6,7,3]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[7,2,1,5,4,6,8,3]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[1,2,8,5,6,3,7,4]=>[[1,2,3,5,7],[4,8],[6]]=>10
[6,1,2,5,7,3,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>12
[4,2,1,5,6,3,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>11
[4,3,6,1,5,7,2,8]=>[[1,3,6,8],[2,5],[4,7]]=>20
[5,1,6,3,7,8,2,4]=>[[1,3,5,6],[2,4,8],[7]]=>16
[1,3,6,8,5,7,2,4]=>[[1,2,3,4],[5,6],[7,8]]=>6
[2,4,6,3,7,1,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>10
[1,3,6,4,8,7,2,5]=>[[1,2,3,5],[4,6],[7,8]]=>10
[4,1,6,7,3,8,2,5]=>[[1,3,4,6],[2,5,8],[7]]=>15
[5,4,6,1,3,7,2,8]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[6,4,1,5,2,3,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[4,1,7,5,2,3,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>14
[1,2,4,5,8,3,7,6]=>[[1,2,3,4,5],[6,7],[8]]=>4
[7,2,3,5,4,1,8,6]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[2,8,3,5,4,1,7,6]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[4,2,6,3,8,1,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>19
[7,8,2,3,4,1,6,5]=>[[1,2,5,7],[3,4],[6,8]]=>12
[7,8,1,4,6,3,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[3,1,6,4,7,8,2,5]=>[[1,3,5,6],[2,4,8],[7]]=>16
[1,8,5,7,4,3,2,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[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]]=>18
[6,5,1,8,4,3,2,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[6,5,7,1,4,3,2,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[7,5,8,1,4,3,2,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[5,8,7,1,4,3,2,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[1,5,7,8,4,3,2,6]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[2,4,7,5,1,3,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>10
[7,8,4,6,1,3,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[7,8,5,4,1,3,2,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[3,5,6,4,1,8,2,7]=>[[1,2,3,6],[4,7,8],[5]]=>8
[2,6,4,5,1,3,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>15
[1,6,5,8,4,3,2,7]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[6,8,5,1,4,3,2,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[7,6,5,1,4,3,2,8]=>[[1,5,8],[2],[3],[4],[6],[7]]=>20
[3,4,6,2,7,1,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>11
[3,6,2,5,4,1,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[3,2,7,5,4,1,6,8]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[4,3,6,2,8,1,5,7]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[6,1,2,5,4,7,8,3]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[6,2,4,5,1,3,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>15
[4,2,8,5,1,3,7,6]=>[[1,3,7],[2,4,8],[5,6]]=>15
[4,3,6,8,1,7,2,5]=>[[1,3,4],[2,6,8],[5,7]]=>17
[5,3,6,4,1,7,2,8]=>[[1,3,6,8],[2,4],[5,7]]=>16
[6,2,1,5,8,3,7,4]=>[[1,4,5],[2,6,7],[3,8]]=>12
[1,6,7,4,8,3,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[1,4,6,3,7,5,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>10
[4,6,7,2,5,8,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>9
[2,4,6,1,7,5,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>9
[2,7,5,4,1,6,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[7,5,4,6,2,8,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[1,7,5,4,3,8,6,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[1,4,6,3,5,8,7,2]=>[[1,2,3,6],[4,5,7],[8]]=>8
[1,5,8,4,3,6,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[5,4,6,2,7,8,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[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]]=>14
[5,6,3,2,7,1,8,4]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[8,5,6,3,2,7,1,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[5,4,6,2,8,1,7,3]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[2,4,1,7,8,5,3,6]=>[[1,2,4,5],[3,6,8],[7]]=>11
[2,5,4,1,6,3,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>11
[5,6,3,2,1,8,4,7]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[3,5,2,1,6,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>10
[6,8,4,3,2,1,5,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[5,3,8,2,1,6,4,7]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[3,7,5,8,2,1,4,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[7,3,2,8,5,1,6,4]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[8,4,6,3,2,1,7,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[8,6,4,3,2,1,7,5]=>[[1,7],[2,8],[3],[4],[5],[6]]=>18
[7,6,4,3,2,1,8,5]=>[[1,7],[2,8],[3],[4],[5],[6]]=>18
[7,8,4,3,2,1,6,5]=>[[1,2],[3,7],[4,8],[5],[6]]=>15
[5,4,7,2,1,8,6,3]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[7,5,8,3,2,6,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>23
[5,7,3,2,1,6,8,4]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[5,7,3,2,1,6,4,8]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[6,3,7,2,5,1,8,4]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[6,7,8,3,5,2,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[6,2,5,7,8,4,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[2,1,5,7,8,6,3,4]=>[[1,3,4,5],[2,6,8],[7]]=>12
[3,6,7,2,8,1,4,5]=>[[1,2,3,5],[4,7,8],[6]]=>11
[6,3,7,2,8,1,4,5]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[3,2,6,1,7,4,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>16
[3,5,2,1,4,7,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>13
[7,3,5,2,1,8,4,6]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[2,5,4,1,3,7,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>12
[2,5,8,4,1,3,7,6]=>[[1,2,3],[4,6,7],[5,8]]=>10
[2,4,1,7,8,3,6,5]=>[[1,2,4,5],[3,6,7],[8]]=>10
[3,7,2,8,6,1,4,5]=>[[1,2,4],[3,5,8],[6,7]]=>13
[3,6,8,2,1,7,4,5]=>[[1,2,3],[4,6,8],[5,7]]=>11
[5,3,8,2,1,4,7,6]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[4,8,7,3,2,1,5,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[4,7,3,2,1,5,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[8,4,7,3,2,1,5,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[8,3,5,2,1,4,7,6]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[7,3,2,8,6,1,4,5]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[3,5,2,1,4,6,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>12
[7,8,3,5,4,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[8,6,3,7,5,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[5,4,1,6,3,2,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[5,4,1,6,2,3,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>13
[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]]=>11
[2,7,6,5,1,8,3,4]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[2,7,6,5,1,8,4,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[2,3,6,5,1,4,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>10
[2,3,6,4,1,5,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>7
[2,3,6,1,5,4,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>7
[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]]=>16
[7,3,5,1,8,4,2,6]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[7,3,5,1,8,6,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[2,7,6,1,5,8,4,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[2,7,6,4,1,8,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[2,1,7,6,3,8,5,4]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[2,1,7,6,3,8,4,5]=>[[1,3,6,8],[2,4,7],[5]]=>15
[5,7,3,6,2,8,4,1]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[2,7,6,4,1,8,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[7,3,5,1,8,6,2,4]=>[[1,3,5],[2,6,8],[4,7]]=>18
[6,3,5,1,8,2,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>16
[2,3,4,8,7,6,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[2,3,4,8,5,7,1,6]=>[[1,2,3,4,6],[5,8],[7]]=>8
[7,3,5,4,8,1,2,6]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[6,4,3,5,8,7,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[2,1,4,5,8,7,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>12
[6,4,3,5,8,7,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[7,3,5,4,8,1,6,2]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[2,3,4,8,7,5,6,1]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[2,3,4,8,7,5,1,6]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[2,7,6,5,4,8,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[7,3,5,6,8,4,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[7,3,5,6,8,1,4,2]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[7,3,5,6,8,1,2,4]=>[[1,3,4,5],[2,7,8],[6]]=>13
[6,4,1,5,8,7,2,3]=>[[1,4,5],[2,6,8],[3,7]]=>13
[6,4,1,5,8,7,3,2]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[6,4,1,5,8,3,7,2]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[5,7,1,6,3,8,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[6,4,1,5,8,3,2,7]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[7,4,1,5,8,2,3,6]=>[[1,4,5,8],[2,6,7],[3]]=>11
[7,4,1,5,8,2,6,3]=>[[1,4,5],[2,6,7],[3,8]]=>12
[6,3,5,7,8,2,1,4]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[6,3,5,7,8,2,4,1]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[2,7,6,4,5,8,3,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[5,7,3,6,1,8,4,2]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[2,1,4,5,8,6,3,7]=>[[1,3,4,5,8],[2,6],[7]]=>11
[7,3,5,4,8,6,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[2,3,4,8,5,6,1,7]=>[[1,2,3,4,6,8],[5],[7]]=>7
[2,3,4,8,7,1,6,5]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[2,3,4,8,1,7,6,5]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[2,3,4,8,1,6,7,5]=>[[1,2,3,4,7],[5,6],[8]]=>6
[2,3,4,8,5,1,7,6]=>[[1,2,3,4,7],[5,8],[6]]=>6
[6,3,5,4,8,2,7,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[7,4,3,5,8,2,1,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[2,1,4,5,8,3,7,6]=>[[1,3,4,5],[2,6,7],[8]]=>11
[7,4,3,5,8,2,6,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[6,3,5,4,8,2,1,7]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[2,3,4,8,5,1,6,7]=>[[1,2,3,4,7,8],[5],[6]]=>5
[2,3,4,8,1,6,5,7]=>[[1,2,3,4,8],[5,6],[7]]=>5
[2,3,4,8,1,5,7,6]=>[[1,2,3,4,7],[5,6],[8]]=>6
[7,8,2,6,1,5,3,4]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[7,8,1,6,2,5,3,4]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[1,8,6,7,2,5,3,4]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[1,8,5,7,2,6,3,4]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[5,8,1,7,2,6,3,4]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[5,8,2,7,1,6,3,4]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[2,8,6,7,1,5,3,4]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[2,8,5,7,1,6,3,4]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[2,8,1,7,5,6,3,4]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[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]]=>12
[2,8,4,7,1,6,3,5]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[4,8,2,7,1,6,3,5]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[4,8,1,7,2,6,3,5]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[1,8,4,7,2,6,3,5]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[4,8,1,7,5,6,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[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]]=>12
[3,8,1,7,4,6,2,5]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[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]]=>16
[3,8,1,7,2,6,4,5]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[3,8,2,7,1,6,4,5]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[3,8,2,7,4,6,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[3,8,2,7,5,6,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[4,8,2,7,5,6,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[4,8,3,7,5,6,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[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]]=>16
[2,8,1,7,3,6,4,5]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[7,5,2,8,6,4,1,3]=>[[1,4],[2,5],[3,6],[7,8]]=>17
[7,5,1,8,6,2,3,4]=>[[1,4,7,8],[2,5],[3,6]]=>13
[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]]=>18
[6,8,1,7,4,2,5,3]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[1,6,7,4,2,8,5,3]=>[[1,2,3,6],[4,7],[5,8]]=>9
[1,6,7,3,8,5,2,4]=>[[1,2,3,5],[4,6],[7,8]]=>10
[7,1,8,3,5,6,2,4]=>[[1,3,5,6],[2,4],[7,8]]=>16
[7,3,8,6,2,5,1,4]=>[[1,3],[2,4],[5,6],[7,8]]=>18
[7,4,2,8,6,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[7,3,1,8,4,2,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>13
[7,2,8,4,1,5,3,6]=>[[1,3,6,8],[2,4],[5,7]]=>16
[7,2,8,3,5,1,6,4]=>[[1,3,5,7],[2,4],[6,8]]=>18
[7,2,8,3,4,6,1,5]=>[[1,3,5,6],[2,4],[7,8]]=>16
[1,5,7,8,2,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6
[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]]=>12
[2,6,3,7,8,5,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[2,6,3,7,8,4,5,1]=>[[1,2,4,5],[3,6,7],[8]]=>10
[2,4,7,3,5,6,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>7
[2,4,7,3,6,8,5,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[2,5,3,7,8,1,6,4]=>[[1,2,4,5],[3,7],[6,8]]=>13
[3,1,5,4,7,8,2,6]=>[[1,3,5,6],[2,4,8],[7]]=>16
[5,3,1,4,8,2,6,7]=>[[1,4,5,8],[2,6,7],[3]]=>11
[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]]=>13
[4,8,2,3,6,1,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>12
[4,8,2,3,5,7,1,6]=>[[1,2,5,6],[3,4],[7,8]]=>10
[1,4,7,8,3,6,2,5]=>[[1,2,3,4],[5,6],[7,8]]=>6
[4,8,1,3,6,7,2,5]=>[[1,2,5,6],[3,4],[7,8]]=>10
[5,3,8,2,4,7,1,6]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[5,4,3,8,1,2,7,6]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[6,4,2,8,1,3,7,5]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[6,3,8,2,5,1,7,4]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[6,3,8,1,4,7,2,5]=>[[1,3,6],[2,5,8],[4,7]]=>21
[5,8,1,3,6,2,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>12
[1,5,7,4,2,6,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>11
[5,8,1,4,2,6,3,7]=>[[1,2,6,8],[3,4],[5,7]]=>10
[5,8,4,1,2,7,6,3]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[6,5,1,2,8,7,3,4]=>[[1,4,5,8],[2,6],[3,7]]=>12
[6,5,3,1,4,2,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[5,3,1,6,4,2,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>13
[5,2,6,4,1,7,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>16
[4,6,1,7,5,2,8,3]=>[[1,2,4,7],[3,5,8],[6]]=>12
[4,5,1,7,2,6,3,8]=>[[1,2,4,8],[3,5,6],[7]]=>11
[3,5,6,1,2,8,7,4]=>[[1,2,3,6],[4,5,7],[8]]=>8
[3,5,7,1,8,6,2,4]=>[[1,2,3,5],[4,6,8],[7]]=>10
[3,6,2,7,5,1,8,4]=>[[1,2,4,7],[3,5],[6,8]]=>13
[4,2,5,7,1,8,6,3]=>[[1,3,4,6],[2,7],[5,8]]=>15
[3,4,7,2,8,6,1,5]=>[[1,2,3,5],[4,6],[7,8]]=>10
[3,4,5,8,2,7,1,6]=>[[1,2,3,4],[5,6],[7,8]]=>6
[3,4,6,2,8,1,5,7]=>[[1,2,3,5],[4,7,8],[6]]=>11
[3,5,2,6,8,1,7,4]=>[[1,2,4,5],[3,7],[6,8]]=>13
[4,2,5,6,1,3,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>16
[4,3,1,2,5,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>9
[5,3,6,8,4,7,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[3,7,2,5,4,8,6,1]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[8,4,2,5,7,3,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[3,1,6,5,4,8,2,7]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[4,1,6,5,8,3,2,7]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[5,1,6,8,4,3,2,7]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[8,5,4,7,6,3,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>21
[2,7,1,5,4,3,8,6]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[8,2,1,5,4,3,7,6]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[8,4,1,5,7,3,2,6]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[8,4,6,1,7,3,2,5]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[8,3,6,1,4,7,2,5]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[2,7,6,1,4,3,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[6,7,8,5,1,3,2,4]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[6,7,8,2,4,3,5,1]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[4,7,6,2,8,3,5,1]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[8,3,6,2,4,7,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[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]]=>13
[4,7,3,5,8,6,2,1]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[8,7,2,1,4,3,6,5]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[8,7,3,1,4,6,2,5]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[8,7,6,3,2,5,4,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>19
[8,7,3,5,1,6,2,4]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[8,7,2,5,1,3,6,4]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[8,4,6,5,7,1,2,3]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[3,7,6,5,1,8,2,4]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[3,6,4,8,7,5,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[5,6,4,3,8,7,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[1,6,2,4,7,8,5,3]=>[[1,2,4,5,6],[3,7],[8]]=>9
[3,6,2,4,8,1,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>12
[3,4,7,2,8,1,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>12
[1,4,7,2,5,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>8
[7,3,8,4,5,6,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>16
[3,5,6,4,8,7,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>10
[4,6,8,5,3,7,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[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]]=>12
[1,8,5,2,7,3,6,4]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[4,2,7,5,1,8,6,3]=>[[1,3,6],[2,4,7],[5,8]]=>16
[7,8,1,4,2,6,5,3]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[1,3,6,4,8,2,5,7]=>[[1,2,3,5,8],[4,7],[6]]=>11
[4,1,7,5,3,2,6,8]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[6,5,1,3,4,2,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[4,8,5,3,1,7,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[7,4,5,3,2,8,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[5,8,3,6,1,4,2,7]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[2,5,8,6,4,1,3,7]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[1,4,6,2,5,8,3,7]=>[[1,2,3,6],[4,5,8],[7]]=>9
[3,6,2,5,8,1,7,4]=>[[1,2,5],[3,4,7],[6,8]]=>13
[1,6,8,7,4,2,3,5]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[6,1,7,8,2,4,3,5]=>[[1,3,4,8],[2,5,6],[7]]=>12
[7,1,8,6,3,4,2,5]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[7,2,1,4,5,6,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>9
[1,2,8,3,6,5,7,4]=>[[1,2,3,5,7],[4],[6],[8]]=>12
[6,1,3,2,7,5,8,4]=>[[1,3,5,7],[2,6],[4,8]]=>18
[1,6,3,8,5,7,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>14
[2,6,4,1,7,5,8,3]=>[[1,2,5,7],[3,6],[4,8]]=>12
[7,6,5,8,1,4,2,3]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[5,8,6,7,3,2,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[1,6,4,3,7,2,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[2,6,3,4,8,7,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>11
[7,1,3,4,5,2,8,6]=>[[1,3,4,5,7],[2,8],[6]]=>12
[1,8,3,5,4,2,7,6]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[4,1,6,3,8,2,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>19
[7,8,2,4,6,3,1,5]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[3,2,6,4,7,8,1,5]=>[[1,3,5,6],[2,4,8],[7]]=>16
[2,8,5,7,4,3,1,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[7,2,5,8,3,4,1,6]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[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]]=>20
[7,5,8,4,1,2,3,6]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[5,8,7,4,1,3,2,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[3,5,7,8,4,1,2,6]=>[[1,2,3,4],[5,7,8],[6]]=>7
[1,4,7,5,3,8,2,6]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[2,4,6,7,3,1,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>6
[7,8,4,6,3,1,2,5]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[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]]=>17
[5,6,8,4,2,3,1,7]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[6,8,5,4,3,1,2,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[6,1,4,2,8,5,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>18
[4,8,6,5,3,2,7,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>17
[8,6,5,1,2,4,7,3]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[6,7,5,8,2,1,4,3]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[1,7,5,8,2,6,4,3]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[1,3,8,5,7,6,2,4]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[6,3,8,5,7,1,2,4]=>[[1,3,5],[2,4,8],[6,7]]=>18
[8,3,1,5,6,2,7,4]=>[[1,4,5,7],[2,6,8],[3]]=>12
[6,8,5,2,1,4,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[3,8,2,5,6,1,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>12
[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]]=>12
[1,8,2,5,7,6,3,4]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[5,1,8,6,2,7,3,4]=>[[1,3,6,8],[2,4,7],[5]]=>15
[2,5,8,6,1,7,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>8
[8,6,1,5,7,2,3,4]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[3,8,6,5,7,1,2,4]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[7,6,5,8,1,2,4,3]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[5,1,7,6,8,4,2,3]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[5,1,3,7,8,6,2,4]=>[[1,3,4,5],[2,6],[7,8]]=>12
[7,2,5,8,1,6,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[3,2,8,5,7,6,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[8,2,1,5,7,6,3,4]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[5,2,8,6,1,7,3,4]=>[[1,3,6],[2,4,8],[5,7]]=>17
[1,2,8,6,5,7,3,4]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[4,2,1,3,6,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>9
[8,2,5,6,3,7,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[7,2,6,5,4,1,8,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[6,1,3,5,4,7,8,2]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[6,1,5,3,4,7,8,2]=>[[1,3,5,6,7],[2],[4],[8]]=>16
[7,5,6,2,4,1,8,3]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[8,5,2,6,3,7,1,4]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[4,3,1,2,6,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>9
[8,1,6,5,7,3,2,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[3,5,8,6,2,7,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[5,8,1,6,3,7,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[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]]=>13
[5,7,6,1,4,2,8,3]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[7,1,4,2,6,5,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[4,1,7,3,5,6,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>14
[2,7,4,1,5,6,8,3]=>[[1,2,5,6,7],[3,8],[4]]=>8
[5,7,6,4,1,2,8,3]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[4,7,6,1,5,2,8,3]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[1,7,6,4,5,2,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[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]]=>12
[8,1,3,5,7,6,2,4]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[7,8,5,4,1,6,2,3]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[6,1,5,4,3,7,8,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>19
[7,5,6,4,2,1,8,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[8,3,2,6,5,7,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[7,4,6,2,5,1,8,3]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[6,1,4,3,5,7,8,2]=>[[1,3,5,6,7],[2],[4],[8]]=>16
[6,1,3,4,5,7,8,2]=>[[1,3,4,5,6,7],[2],[8]]=>9
[7,2,6,4,5,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,2,3,6,5,7,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[5,4,7,3,6,8,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[3,4,7,8,5,6,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>6
[3,4,7,2,5,1,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[1,4,7,2,5,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>9
[3,6,2,4,7,1,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>12
[6,8,3,4,5,7,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>10
[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]]=>20
[7,3,8,6,4,5,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[3,2,7,6,5,1,4,8]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[1,2,7,6,5,8,3,4]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[4,8,2,6,1,5,3,7]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[2,3,8,6,4,1,5,7]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[4,3,6,2,5,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[7,8,3,2,5,1,4,6]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[7,8,1,2,5,6,3,4]=>[[1,2,5,6],[3,4],[7,8]]=>10
[4,1,6,2,5,7,3,8]=>[[1,3,5,6,8],[2,4],[7]]=>15
[6,1,2,5,8,7,3,4]=>[[1,3,4,5],[2,6],[7,8]]=>12
[2,1,8,6,4,7,3,5]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[7,1,3,6,8,4,2,5]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[1,8,3,6,7,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[7,1,5,8,3,6,2,4]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[5,1,8,7,2,3,6,4]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[6,1,5,7,4,2,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[3,1,6,4,7,2,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>18
[2,4,7,5,1,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>8
[6,5,7,1,4,2,3,8]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[5,6,8,1,3,2,4,7]=>[[1,2,3,8],[4,5,7],[6]]=>8
[6,8,5,1,3,4,2,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[2,8,3,4,5,1,7,6]=>[[1,2,4,5,7],[3,8],[6]]=>11
[6,2,4,3,1,5,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[4,2,8,3,1,7,5,6]=>[[1,3,6,8],[2,4],[5,7]]=>16
[1,3,7,4,8,2,5,6]=>[[1,2,3,5,8],[4,7],[6]]=>11
[5,3,7,4,1,6,2,8]=>[[1,3,6,8],[2,4],[5,7]]=>16
[2,4,7,3,6,1,8,5]=>[[1,2,3,7],[4,5],[6,8]]=>8
[5,8,7,6,3,1,2,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[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]]=>8
[1,2,7,8,5,4,3,6]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[6,3,1,2,8,4,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>11
[4,2,1,3,6,5,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>12
[2,8,1,4,5,6,3,7]=>[[1,2,5,6,8],[3,4],[7]]=>9
[7,2,1,5,4,6,3,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[4,2,6,1,8,5,3,7]=>[[1,3,5],[2,6,8],[4,7]]=>18
[7,8,2,1,4,5,3,6]=>[[1,2,6,8],[3,5],[4,7]]=>14
[7,8,4,1,5,3,6,2]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[3,4,6,1,5,8,7,2]=>[[1,2,3,6],[4,5,7],[8]]=>8
[7,5,1,6,4,3,8,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[5,8,1,6,3,4,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[6,5,1,8,2,7,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[6,8,1,7,5,2,3,4]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[7,6,1,8,5,3,2,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[5,6,1,7,4,8,2,3]=>[[1,2,4,6],[3,5,8],[7]]=>14
[3,6,1,5,7,4,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[2,5,6,1,7,4,8,3]=>[[1,2,3,5,7],[4,6],[8]]=>10
[3,1,7,5,6,4,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[5,1,7,6,4,8,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[6,1,7,8,5,3,4,2]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[7,1,8,6,5,4,2,3]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[2,6,5,7,3,4,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[1,6,4,7,5,8,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>14
[8,5,3,6,2,7,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[1,3,7,4,6,8,2,5]=>[[1,2,3,5,6],[4,8],[7]]=>9
[4,7,5,6,3,2,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>17
[1,7,6,5,4,8,2,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[8,1,6,5,7,2,4,3]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[1,2,7,6,8,3,4,5]=>[[1,2,3,5,8],[4,7],[6]]=>11
[6,1,7,5,3,8,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[2,1,7,5,6,8,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>16
[5,4,1,7,6,8,2,3]=>[[1,4,6],[2,5,8],[3,7]]=>16
[4,8,5,6,2,7,3,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[3,8,6,4,2,7,5,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[7,8,5,2,4,6,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[2,8,6,3,7,4,5,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[7,8,1,6,2,4,5,3]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[6,8,1,4,7,2,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[3,8,4,1,7,2,6,5]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[5,4,7,1,8,3,2,6]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[3,7,4,1,8,5,2,6]=>[[1,2,5,8],[3,6],[4,7]]=>11
[6,7,1,4,8,3,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[2,7,1,8,4,5,3,6]=>[[1,2,4,8],[3,5,6],[7]]=>11
[6,1,2,8,4,3,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>12
[6,5,1,4,3,8,2,7]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[1,6,2,5,8,3,4,7]=>[[1,2,4,5,8],[3,7],[6]]=>12
[8,5,1,3,7,2,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[8,4,2,1,7,3,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[7,4,2,1,8,5,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[1,5,4,2,8,3,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>10
[6,4,3,1,5,8,2,7]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[3,7,6,8,4,5,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[2,7,6,8,5,3,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[1,7,6,8,5,4,2,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[1,4,8,6,7,5,2,3]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[2,4,8,6,7,3,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[7,3,8,5,4,6,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[3,4,8,5,6,7,2,1]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[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]]=>19
[5,4,2,8,7,3,6,1]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[6,2,5,8,7,3,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[3,2,8,5,7,4,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[1,3,8,7,5,6,2,4]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[2,1,8,7,4,6,3,5]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[3,1,8,5,7,6,2,4]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[6,1,5,8,7,4,2,3]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[5,4,1,8,7,6,2,3]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[5,8,6,7,4,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[4,8,7,5,6,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>19
[4,2,1,6,3,5,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>13
[6,2,1,4,3,5,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>13
[6,2,1,4,3,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>14
[8,2,1,4,3,6,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>14
[6,2,4,1,3,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>19
[6,2,4,1,3,5,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>18
[2,1,6,4,3,5,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>14
[2,6,1,4,3,5,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>8
[2,6,4,1,3,5,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>12
[4,6,2,1,3,5,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>12
[6,4,2,1,3,5,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[8,4,2,1,3,6,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[8,4,2,1,6,3,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[6,4,2,1,8,3,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[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]]=>15
[2,1,8,4,3,6,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>15
[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]]=>13
[4,8,2,1,3,6,5,7]=>[[1,2,6,8],[3,5],[4,7]]=>14
[6,8,2,1,4,3,5,7]=>[[1,2,7,8],[3,5],[4,6]]=>12
[8,6,2,1,4,3,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[2,8,1,4,6,3,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>12
[2,6,1,4,8,3,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>12
[2,6,4,1,8,3,5,7]=>[[1,2,5,8],[3,6,7],[4]]=>10
[2,6,4,8,1,3,5,7]=>[[1,2,4,8],[3,6,7],[5]]=>14
[4,6,2,8,1,3,5,7]=>[[1,2,4,8],[3,6,7],[5]]=>14
[4,2,6,1,8,3,5,7]=>[[1,3,5,8],[2,6,7],[4]]=>16
[6,2,4,1,8,3,5,7]=>[[1,3,5,8],[2,6,7],[4]]=>16
[4,2,1,6,8,3,5,7]=>[[1,4,5,8],[2,6,7],[3]]=>11
[4,2,1,6,3,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>14
[4,2,1,3,6,8,5,7]=>[[1,4,5,6],[2,7,8],[3]]=>10
[2,1,4,3,8,6,5,7]=>[[1,3,5,8],[2,4,6],[7]]=>16
[2,4,1,3,8,6,5,7]=>[[1,2,5,8],[3,4,6],[7]]=>10
[4,2,1,3,8,6,5,7]=>[[1,4,5,8],[2,6],[3,7]]=>12
[4,2,1,8,3,6,5,7]=>[[1,4,6,8],[2,5],[3,7]]=>15
[4,2,1,8,6,3,5,7]=>[[1,4,7,8],[2,5],[3,6]]=>13
[8,2,1,6,4,3,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[8,2,6,1,4,3,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[4,2,8,1,3,6,5,7]=>[[1,3,6,8],[2,5],[4,7]]=>20
[2,4,8,1,3,6,5,7]=>[[1,2,3,8],[4,5,6],[7]]=>6
[2,4,1,8,3,6,5,7]=>[[1,2,4,8],[3,5,6],[7]]=>11
[2,1,4,8,3,6,5,7]=>[[1,3,4,8],[2,5,6],[7]]=>12
[2,1,4,8,6,3,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>14
[2,4,8,1,6,3,5,7]=>[[1,2,3,8],[4,5,7],[6]]=>8
[2,4,8,6,1,3,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>9
[4,2,8,6,1,3,5,7]=>[[1,3,7,8],[2,4],[5,6]]=>14
[8,4,6,2,1,3,5,7]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[4,6,8,2,1,3,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>9
[2,6,8,4,1,3,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>9
[2,6,8,1,4,3,5,7]=>[[1,2,3,8],[4,5,7],[6]]=>8
[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]]=>14
[2,1,8,6,4,3,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[2,8,6,4,1,3,5,7]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[4,8,6,2,1,3,5,7]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[6,8,4,2,1,3,5,7]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[3,2,6,1,5,4,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>19
[5,2,4,3,8,1,7,6]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[6,2,4,1,5,3,8,7]=>[[1,3,5,7],[2,6,8],[4]]=>17
[4,3,6,1,5,2,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>19
[4,3,5,2,8,1,7,6]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[4,3,7,2,6,5,8,1]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[4,3,8,2,6,1,7,5]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[4,3,8,1,7,2,6,5]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[4,3,8,1,5,2,7,6]=>[[1,3,7],[2,5,8],[4,6]]=>19
[5,1,8,3,4,2,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>18
[5,4,8,1,3,2,7,6]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[2,1,5,4,8,3,7,6]=>[[1,3,5],[2,4,7],[6,8]]=>19
[5,1,7,6,8,3,4,2]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[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]]=>17
[4,3,6,5,8,1,7,2]=>[[1,3,5],[2,4,7],[6,8]]=>19
[6,3,5,4,7,2,8,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[6,3,5,4,8,1,7,2]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[7,1,6,3,8,4,5,2]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[7,4,6,5,8,1,3,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[2,1,8,4,6,3,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>17
[8,4,6,1,3,2,7,5]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[8,1,6,3,4,2,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,1,6,3,7,2,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[8,3,5,1,7,2,6,4]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[8,3,5,2,6,1,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[7,3,5,2,6,4,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[8,2,6,3,5,1,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,2,7,1,5,3,6,4]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[8,2,4,1,5,3,7,6]=>[[1,3,5,7],[2,6,8],[4]]=>17
[8,2,4,1,7,3,6,5]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[8,2,4,3,6,1,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[3,2,8,4,6,1,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>18
[3,2,8,1,5,4,7,6]=>[[1,3,7],[2,5,8],[4,6]]=>19
[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]]=>17
[3,2,6,5,8,1,7,4]=>[[1,3,5],[2,4,7],[6,8]]=>19
[6,5,7,2,4,3,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[6,5,8,2,4,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[7,2,4,1,8,5,6,3]=>[[1,3,5,7],[2,6],[4,8]]=>18
[7,6,8,2,4,1,5,3]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[7,6,8,1,5,2,4,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[2,1,7,3,8,5,6,4]=>[[1,3,5,7],[2,4,6],[8]]=>17
[7,1,3,2,8,5,6,4]=>[[1,3,5,7],[2,6],[4,8]]=>18
[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]]=>19
[7,2,8,1,5,4,6,3]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[6,2,7,4,5,3,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[5,4,7,2,6,3,8,1]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[5,4,8,2,6,1,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[6,5,8,1,7,2,4,3]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[2,1,6,5,8,3,7,4]=>[[1,3,5],[2,4,7],[6,8]]=>19
[6,5,7,4,8,1,3,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[6,5,7,1,8,3,4,2]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[6,1,7,4,8,3,5,2]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[5,4,7,1,8,3,6,2]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[5,4,6,3,8,1,7,2]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[2,8,3,1,5,4,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>10
[2,5,3,4,7,1,8,6]=>[[1,2,4,5,7],[3,8],[6]]=>11
[2,4,8,3,5,7,6,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[4,2,5,3,1,8,6,7]=>[[1,3,6,8],[2,4,7],[5]]=>15
[4,2,1,8,5,3,6,7]=>[[1,4,7,8],[2,5],[3,6]]=>13
[5,4,1,3,8,2,6,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[5,1,4,8,3,2,6,7]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[1,5,8,4,3,2,6,7]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[1,8,5,4,3,2,6,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[1,7,4,3,8,5,2,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[1,5,7,3,8,4,2,6]=>[[1,2,3,5],[4,6,8],[7]]=>10
[5,1,4,7,8,3,2,6]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[4,8,1,5,7,3,6,2]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[8,1,5,3,7,4,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[3,8,4,7,6,5,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[1,6,8,5,3,7,4,2]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[6,8,1,7,4,3,5,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[6,4,8,1,7,3,5,2]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[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]]=>16
[1,7,5,6,3,2,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[4,2,1,7,8,5,3,6]=>[[1,4,5],[2,6,8],[3,7]]=>13
[2,7,4,6,3,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[2,6,8,4,3,7,5,1]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[6,2,4,8,3,7,5,1]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[7,2,6,3,4,1,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[2,6,7,3,1,4,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>10
[2,7,1,8,3,5,4,6]=>[[1,2,4,8],[3,5,6],[7]]=>11
[2,1,7,3,5,8,4,6]=>[[1,3,5,6],[2,4,8],[7]]=>16
[8,7,1,3,6,2,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[8,2,1,7,3,5,6,4]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[7,8,2,6,3,1,5,4]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[8,7,2,6,3,5,4,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>23
[1,2,8,7,4,5,6,3]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[8,3,7,1,5,6,2,4]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[8,6,1,2,7,5,3,4]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[8,1,6,2,7,4,5,3]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[1,8,5,2,6,7,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[5,2,1,8,6,7,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[2,8,5,7,6,4,3,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[1,7,8,5,2,6,4,3]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[7,8,1,6,4,2,5,3]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[7,8,6,1,5,3,2,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[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]]=>21
[8,7,1,6,4,5,3,2]=>[[1,4,6],[2],[3],[5],[7],[8]]=>23
[8,1,7,5,6,4,3,2]=>[[1,3,5],[2],[4],[6],[7],[8]]=>25
[1,8,6,7,5,4,3,2]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[6,3,5,2,1,4,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[6,3,5,7,2,8,4,1]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[8,5,2,7,4,3,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[4,5,3,6,1,2,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>15
[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]]=>14
[5,7,4,6,3,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[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]]=>19
[8,3,4,7,5,1,2,6]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[8,5,1,4,7,3,2,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[8,5,3,7,1,4,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[2,1,8,5,7,4,3,6]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[6,5,3,7,1,8,4,2]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[6,5,1,4,7,8,3,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>15
[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]]=>15
[4,7,1,3,5,8,6,2]=>[[1,2,5,6],[3,4,7],[8]]=>9
[4,8,3,7,1,2,6,5]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[3,8,6,4,1,7,2,5]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[3,8,1,2,5,7,6,4]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[2,8,7,5,4,1,3,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[8,7,2,6,4,1,3,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[3,8,6,7,4,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[5,7,6,8,4,2,3,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[5,3,7,8,2,4,6,1]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[8,3,6,2,1,4,7,5]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[5,3,7,6,2,1,8,4]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[5,3,6,2,8,7,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[5,7,8,6,4,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[2,6,7,5,4,8,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[6,1,7,4,5,8,2,3]=>[[1,3,5,6],[2,4],[7,8]]=>16
[6,7,3,5,1,8,2,4]=>[[1,2,6],[3,4,8],[5,7]]=>11
[2,1,6,7,5,8,3,4]=>[[1,3,4,6],[2,5,8],[7]]=>15
[2,1,5,7,3,6,8,4]=>[[1,3,4,7],[2,5,6],[8]]=>13
[5,7,3,6,1,2,8,4]=>[[1,2,7],[3,4,8],[5,6]]=>9
[4,1,7,2,5,6,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>14
[2,4,7,1,6,5,8,3]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[4,6,2,1,8,7,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[3,4,6,2,7,8,5,1]=>[[1,2,3,5,6],[4,7],[8]]=>8
[4,6,1,2,5,8,7,3]=>[[1,2,5,6],[3,4,7],[8]]=>9
[5,6,1,4,8,2,7,3]=>[[1,2,5],[3,4,7],[6,8]]=>13
[5,6,3,1,8,7,2,4]=>[[1,2,5],[3,6,8],[4,7]]=>12
[3,5,6,4,7,1,8,2]=>[[1,2,3,5,7],[4,8],[6]]=>10
[3,4,6,1,5,7,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>7
[3,4,1,5,7,6,8,2]=>[[1,2,4,5,7],[3,6],[8]]=>11
[3,8,2,7,1,6,5,4]=>[[1,2],[3,4],[5,6],[7],[8]]=>13
[3,8,2,7,6,1,5,4]=>[[1,2],[3,4],[5,7],[6],[8]]=>15
[3,8,2,7,6,5,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[3,8,2,7,6,5,4,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>16
[4,8,7,2,6,5,3,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>20
[4,8,7,2,6,5,1,3]=>[[1,2],[3,5],[4,8],[6],[7]]=>18
[4,8,7,2,6,1,5,3]=>[[1,2],[3,5],[4,7],[6],[8]]=>19
[4,8,7,2,1,6,5,3]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[4,8,7,3,1,6,5,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[4,8,7,3,2,1,6,5]=>[[1,2],[3,7],[4,8],[5],[6]]=>15
[4,8,7,3,2,6,1,5]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[4,8,7,3,2,6,5,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[4,8,7,3,6,2,5,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>19
[4,8,7,3,6,2,1,5]=>[[1,2],[3,5],[4,8],[6],[7]]=>18
[4,8,7,3,6,1,5,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>19
[4,8,7,3,6,5,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>18
[4,8,7,3,6,5,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>20
[5,8,7,6,3,4,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>19
[5,8,7,6,3,1,4,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>15
[5,8,7,6,3,2,4,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>18
[5,8,7,6,2,4,3,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>19
[5,8,7,6,2,1,4,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>15
[5,8,7,6,4,2,3,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>18
[5,8,7,6,4,2,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[5,8,7,6,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>18
[5,8,7,6,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[7,3,5,2,6,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[7,2,1,5,6,4,3,8]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[1,4,6,7,3,8,2,5]=>[[1,2,3,4,6],[5,8],[7]]=>8
[6,4,5,7,1,3,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[6,3,5,1,7,4,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[6,2,1,5,7,4,8,3]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[3,2,1,5,7,4,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>12
[2,4,6,7,3,8,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>8
[1,4,6,7,3,8,5,2]=>[[1,2,3,4,6],[5,7],[8]]=>7
[1,5,6,7,8,3,4,2]=>[[1,2,3,4,5],[6,7],[8]]=>4
[2,5,6,7,8,3,1,4]=>[[1,2,3,4,5],[6,8],[7]]=>5
[3,2,1,6,7,8,4,5]=>[[1,4,5,6],[2,7,8],[3]]=>10
[5,2,1,6,7,8,4,3]=>[[1,4,5,6],[2,7],[3,8]]=>11
[5,3,6,1,7,8,4,2]=>[[1,3,5,6],[2,7],[4,8]]=>16
[5,4,6,7,1,8,3,2]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[1,5,6,7,8,3,2,4]=>[[1,2,3,4,5],[6,8],[7]]=>5
[6,4,5,7,2,1,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[5,4,6,7,2,8,3,1]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[6,3,4,2,1,7,8,5]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[4,3,6,2,7,8,5,1]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[3,4,6,7,2,8,5,1]=>[[1,2,3,4,6],[5,7],[8]]=>7
[4,2,1,5,7,3,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>12
[1,5,6,7,8,2,4,3]=>[[1,2,3,4,5],[6,7],[8]]=>4
[1,5,6,7,8,4,2,3]=>[[1,2,3,4,5],[6,8],[7]]=>5
[3,4,6,7,1,8,5,2]=>[[1,2,3,4,6],[5,7],[8]]=>7
[4,3,6,1,7,8,5,2]=>[[1,3,5,6],[2,7],[4,8]]=>16
[1,4,3,6,2,5,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[1,4,3,7,2,5,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[1,4,3,7,6,8,2,5]=>[[1,2,4,6],[3,5],[7,8]]=>14
[1,4,3,7,5,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>14
[1,4,3,7,2,6,5,8]=>[[1,2,4,8],[3,6],[5,7]]=>15
[1,5,3,7,4,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>14
[1,3,2,6,5,8,4,7]=>[[1,2,4,6],[3,5,8],[7]]=>14
[1,5,4,8,2,6,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>15
[1,5,4,8,3,7,2,6]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[1,2,3,6,5,8,4,7]=>[[1,2,3,4,6],[5,8],[7]]=>8
[6,8,2,4,5,7,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>10
[3,7,8,4,5,2,6,1]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[7,8,1,4,5,3,6,2]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[3,8,7,4,1,6,5,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[4,8,3,6,1,5,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[5,8,3,1,6,4,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[5,8,1,4,7,6,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[7,5,1,8,6,2,4,3]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[7,4,1,8,2,6,3,5]=>[[1,4,6,8],[2,5],[3,7]]=>15
[7,1,8,4,2,6,3,5]=>[[1,3,6,8],[2,4],[5,7]]=>16
[1,6,3,8,5,2,4,7]=>[[1,2,4,8],[3,5],[6,7]]=>12
[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]]=>14
[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]]=>20
[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]]=>17
[6,1,2,8,3,5,4,7]=>[[1,3,4,6,8],[2,5],[7]]=>14
[1,5,2,3,8,4,7,6]=>[[1,2,4,5,7],[3,6],[8]]=>11
[5,1,2,3,8,4,7,6]=>[[1,3,4,5,7],[2,6],[8]]=>12
[5,2,3,8,1,4,7,6]=>[[1,3,4,7],[2,6],[5,8]]=>17
[6,2,8,1,3,5,4,7]=>[[1,3,6,8],[2,5],[4,7]]=>20
[6,2,4,1,8,7,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>18
[6,3,1,4,2,8,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>14
[3,1,6,4,2,8,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>15
[2,6,3,8,7,1,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[2,6,3,8,5,1,4,7]=>[[1,2,4,8],[3,5],[6,7]]=>12
[2,5,1,8,3,4,7,6]=>[[1,2,4,7],[3,5,6],[8]]=>12
[2,5,1,3,8,4,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>11
[1,2,5,3,8,4,7,6]=>[[1,2,3,5,7],[4,6],[8]]=>10
[1,2,4,8,3,7,6,5]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[2,4,8,1,3,7,6,5]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[2,4,8,3,7,1,6,5]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[2,4,8,3,7,6,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[2,5,3,8,1,7,4,6]=>[[1,2,4,8],[3,6],[5,7]]=>15
[2,5,4,1,3,8,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>14
[3,1,5,4,8,2,7,6]=>[[1,3,5],[2,4,7],[6,8]]=>19
[5,3,1,4,8,2,7,6]=>[[1,4,5],[2,6,7],[3,8]]=>12
[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]]=>14
[4,8,2,3,7,1,6,5]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[4,8,1,2,3,7,6,5]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[1,4,8,2,3,7,6,5]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[1,4,8,3,7,2,6,5]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[6,3,8,1,5,2,4,7]=>[[1,3,7,8],[2,5],[4,6]]=>18
[5,3,8,1,2,4,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>19
[5,1,3,8,2,4,7,6]=>[[1,3,4,7],[2,6],[5,8]]=>17
[1,5,3,8,2,4,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>16
[1,5,4,8,2,7,6,3]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[5,1,4,8,2,7,6,3]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[5,4,8,1,2,7,6,3]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[6,5,1,2,8,7,4,3]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[5,3,1,6,4,2,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>14
[5,1,6,2,8,7,4,3]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[4,1,5,8,2,7,6,3]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[4,1,2,5,8,7,6,3]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[1,4,2,5,8,7,6,3]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[1,3,5,2,8,7,4,6]=>[[1,2,3,5],[4,6,8],[7]]=>10
[3,5,1,2,8,7,4,6]=>[[1,2,5,8],[3,4,6],[7]]=>10
[3,6,2,8,7,5,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[4,2,6,1,8,7,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>18
[4,3,1,5,8,2,7,6]=>[[1,4,5],[2,6,7],[3,8]]=>12
[3,5,2,8,7,1,4,6]=>[[1,2,4],[3,5,8],[6,7]]=>13
[3,4,8,7,2,6,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[3,4,8,7,1,2,6,5]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[3,4,8,1,7,2,6,5]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[1,3,4,8,7,2,6,5]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[1,3,4,8,2,7,6,5]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[3,4,8,1,2,7,6,5]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[3,4,8,2,7,1,6,5]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[3,4,8,2,7,6,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[4,2,5,8,1,7,6,3]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[4,3,1,2,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>11
[3,1,4,2,5,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>15
[2,3,5,1,8,7,6,4]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[7,8,2,1,5,3,6,4]=>[[1,2,7],[3,5,8],[4,6]]=>13
[6,4,1,2,7,3,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>11
[2,3,7,5,4,1,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[6,3,1,5,4,2,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[7,8,1,5,4,2,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[7,8,3,5,4,1,6,2]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[7,8,2,5,4,1,3,6]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[7,8,2,5,4,6,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[6,2,1,5,4,7,3,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[5,3,6,1,4,7,8,2]=>[[1,3,6,7],[2,5],[4,8]]=>19
[5,3,6,2,4,7,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[6,4,2,1,7,3,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[4,3,7,5,8,6,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>17
[4,2,7,1,8,3,6,5]=>[[1,3,5],[2,6,7],[4,8]]=>17
[3,2,6,7,4,8,1,5]=>[[1,3,4,6],[2,5,8],[7]]=>15
[3,1,6,7,4,8,5,2]=>[[1,3,4,6],[2,5,7],[8]]=>14
[1,7,6,5,3,8,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[2,7,6,5,3,8,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[1,7,6,5,2,4,8,3]=>[[1,2,6,7],[3],[4],[5],[8]]=>13
[2,7,6,5,3,1,4,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[2,7,1,4,8,3,5,6]=>[[1,2,5,8],[3,4,7],[6]]=>12
[3,7,6,4,8,5,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[5,7,6,3,8,4,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[5,1,6,2,4,8,3,7]=>[[1,3,5,6],[2,4,8],[7]]=>16
[4,7,6,5,2,1,3,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[4,7,6,5,2,8,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[4,7,6,5,1,8,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[1,7,6,5,2,8,3,4]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[1,7,6,5,3,2,8,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[4,7,6,5,1,2,8,3]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[4,7,6,5,3,1,8,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[6,1,3,5,4,8,7,2]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[5,2,6,3,4,1,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>16
[5,1,6,2,4,7,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>14
[1,2,6,3,4,8,7,5]=>[[1,2,3,5,6],[4,7],[8]]=>8
[1,7,2,4,8,3,6,5]=>[[1,2,4,5],[3,7],[6,8]]=>13
[6,1,4,2,8,3,5,7]=>[[1,3,5,7,8],[2,6],[4]]=>16
[4,1,8,2,6,3,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>16
[4,7,2,1,5,3,6,8]=>[[1,2,7,8],[3,5],[4,6]]=>12
[4,7,1,6,2,3,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>8
[1,7,2,6,8,3,5,4]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[1,2,6,7,4,8,5,3]=>[[1,2,3,4,6],[5,7],[8]]=>7
[3,1,6,7,4,2,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13
[3,2,8,5,4,6,1,7]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[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]]=>15
[3,7,6,5,1,4,8,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[3,7,6,5,2,1,8,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[1,7,6,5,8,2,4,3]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[3,7,6,5,8,1,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[3,7,6,5,1,2,4,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[3,1,6,8,4,2,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>14
[4,7,6,8,3,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[2,7,6,5,1,4,3,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[2,7,6,5,8,1,3,4]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[2,7,6,5,8,4,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[6,3,2,1,7,4,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[4,2,1,7,3,5,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>13
[7,3,1,5,4,2,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[8,4,1,5,2,7,6,3]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[8,2,5,1,3,7,6,4]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[4,3,7,2,1,5,8,6]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[4,7,2,5,3,1,8,6]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[2,7,5,4,1,3,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[7,5,4,3,2,1,8,6]=>[[1,7],[2,8],[3],[4],[5],[6]]=>18
[6,5,2,1,8,4,3,7]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[5,7,4,3,2,8,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[1,7,6,2,4,8,3,5]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[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]]=>18
[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]]=>18
[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]]=>24
[1,8,5,7,4,3,6,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[1,8,5,7,2,4,6,3]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[3,8,6,1,7,2,5,4]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[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]]=>20
[3,7,2,6,8,4,1,5]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[3,6,5,8,1,4,2,7]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[2,6,5,8,4,1,3,7]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[6,5,4,8,3,2,1,7]=>[[1,4],[2,8],[3],[5],[6],[7]]=>22
[6,3,5,1,8,4,2,7]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[8,4,1,5,7,3,6,2]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[5,4,1,6,8,2,3,7]=>[[1,4,5,8],[2,6,7],[3]]=>11
[6,3,7,4,8,5,2,1]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[4,7,2,5,8,6,3,1]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[6,3,1,8,4,7,5,2]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[6,5,3,8,7,4,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>17
[5,4,8,1,7,6,2,3]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[5,2,8,1,7,3,6,4]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[6,4,7,8,1,5,3,2]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[2,5,8,7,1,3,6,4]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[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]]=>25
[8,2,7,6,5,1,4,3]=>[[1,3],[2,7],[4],[5],[6],[8]]=>24
[4,3,8,7,6,2,1,5]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[2,4,8,7,6,1,3,5]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[3,5,8,7,2,6,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[4,7,3,8,6,5,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[7,5,8,6,4,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>22
[5,8,7,3,6,4,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>20
[4,8,7,6,2,5,3,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>19
[3,8,7,6,5,1,4,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>18
[2,8,7,6,5,4,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[3,6,5,1,2,4,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>12
[3,7,5,8,2,4,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[3,8,5,7,2,4,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[5,1,7,8,4,3,2,6]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[5,1,2,6,4,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13
[6,1,2,5,4,3,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[5,1,2,4,6,3,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>12
[4,1,2,6,5,3,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13
[4,1,5,7,8,3,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>12
[4,1,5,8,7,3,2,6]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[4,7,1,8,3,6,2,5]=>[[1,2,4],[3,5,6],[7,8]]=>12
[4,1,7,8,5,2,3,6]=>[[1,3,4,8],[2,5,7],[6]]=>14
[5,1,7,4,8,2,3,6]=>[[1,3,5,8],[2,4,7],[6]]=>18
[7,5,3,8,1,4,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[2,1,5,8,7,3,4,6]=>[[1,3,4,8],[2,5,7],[6]]=>14
[5,1,8,4,7,2,3,6]=>[[1,3,5,8],[2,4],[6,7]]=>17
[4,1,8,7,5,2,3,6]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[4,7,1,6,3,2,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[6,1,2,3,7,5,8,4]=>[[1,3,4,5,7],[2,6],[8]]=>12
[7,1,2,3,8,6,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[7,1,2,3,5,8,6,4]=>[[1,3,4,5,6],[2,7],[8]]=>10
[6,8,1,4,3,7,2,5]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[8,7,3,2,4,1,6,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[2,1,7,3,4,8,6,5]=>[[1,3,5,6],[2,4,7],[8]]=>15
[7,8,3,2,4,1,6,5]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[6,7,1,4,3,8,2,5]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[8,1,2,3,5,7,6,4]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[8,1,2,3,6,7,5,4]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[7,1,2,3,6,8,5,4]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[7,1,2,3,8,5,6,4]=>[[1,3,4,5,7],[2,6],[8]]=>12
[8,1,2,3,7,5,6,4]=>[[1,3,4,5,7],[2],[6],[8]]=>14
[8,1,2,3,6,5,7,4]=>[[1,3,4,5,7],[2],[6],[8]]=>14
[7,1,8,5,4,3,2,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[7,8,2,6,3,4,1,5]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[6,8,2,7,3,4,1,5]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[6,7,2,8,3,4,1,5]=>[[1,2,4,8],[3,5,6],[7]]=>11
[3,8,7,1,4,2,6,5]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[3,7,8,1,4,2,6,5]=>[[1,2,3],[4,5,7],[6,8]]=>9
[3,6,8,1,4,2,7,5]=>[[1,2,3],[4,5,7],[6,8]]=>9
[3,5,7,8,2,4,1,6]=>[[1,2,3,4],[5,6,8],[7]]=>6
[3,6,7,1,4,2,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>7
[7,6,2,8,3,1,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[8,6,2,7,3,1,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[8,1,7,5,4,3,2,6]=>[[1,3,8],[2],[4],[5],[6],[7]]=>22
[8,1,7,4,5,3,2,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>21
[5,8,3,7,1,4,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[2,1,7,3,4,6,8,5]=>[[1,3,5,6,7],[2,4],[8]]=>14
[6,7,3,2,4,1,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[8,7,2,4,3,6,1,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[7,1,2,3,5,6,8,4]=>[[1,3,4,5,6,7],[2],[8]]=>9
[6,1,2,3,8,7,4,5]=>[[1,3,4,5,8],[2,6],[7]]=>11
[5,1,2,3,7,8,6,4]=>[[1,3,4,5,6],[2,7],[8]]=>10
[5,1,2,3,8,7,6,4]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[5,1,2,3,8,6,7,4]=>[[1,3,4,5,7],[2,6],[8]]=>12
[6,1,2,3,5,8,7,4]=>[[1,3,4,5,6],[2,7],[8]]=>10
[8,6,2,4,3,1,7,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[7,6,3,2,4,8,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[2,1,6,3,4,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>15
[8,6,3,2,4,7,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[7,6,2,4,3,1,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[6,1,2,3,5,7,8,4]=>[[1,3,4,5,6,7],[2],[8]]=>9
[5,1,2,3,6,8,7,4]=>[[1,3,4,5,6],[2,7],[8]]=>10
[7,8,1,2,6,3,5,4]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[1,4,8,2,7,3,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>6
[1,2,8,5,4,7,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[1,3,8,5,4,2,7,6]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[2,3,6,8,4,7,1,5]=>[[1,2,3,4],[5,6],[7,8]]=>6
[1,3,6,8,4,7,5,2]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[2,4,8,1,7,3,6,5]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[3,4,8,5,7,6,1,2]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[1,2,6,8,4,5,7,3]=>[[1,2,3,4,7],[5,6],[8]]=>6
[7,5,1,2,4,3,6,8]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[7,4,6,1,5,2,3,8]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[7,1,4,2,6,3,5,8]=>[[1,3,5,7,8],[2,6],[4]]=>16
[6,8,1,4,7,2,3,5]=>[[1,2,5,8],[3,4],[6,7]]=>11
[1,6,4,2,8,3,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>10
[1,6,3,8,5,4,2,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[6,8,1,7,3,5,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[7,1,3,6,5,4,2,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[7,3,1,6,5,4,2,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[7,2,1,4,6,3,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>11
[7,2,3,6,5,1,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[7,1,2,3,6,5,4,8]=>[[1,3,4,5,8],[2],[6],[7]]=>13
[6,8,1,2,7,3,5,4]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[1,6,2,3,8,5,4,7]=>[[1,2,4,5,8],[3,6],[7]]=>10
[1,5,8,2,7,6,3,4]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[5,1,8,2,7,6,3,4]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[5,8,2,7,6,3,4,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[6,2,8,1,7,3,5,4]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[6,8,2,1,7,4,3,5]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[3,6,4,1,2,8,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>13
[2,1,6,3,8,5,4,7]=>[[1,3,5,8],[2,4,6],[7]]=>16
[2,5,1,8,7,6,3,4]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[2,5,3,8,7,4,6,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[1,2,5,3,8,7,4,6]=>[[1,2,3,5,8],[4,6],[7]]=>9
[2,4,8,7,6,5,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[2,5,3,8,7,1,6,4]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[2,5,8,4,1,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[3,5,8,7,1,4,2,6]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[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]]=>19
[4,2,8,7,6,5,3,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>22
[4,1,8,7,6,5,3,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>22
[4,3,8,7,6,5,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[6,3,1,8,7,2,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[5,8,3,7,6,1,4,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>15
[5,1,3,8,7,6,2,4]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[1,5,3,8,7,6,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[1,5,8,4,7,2,6,3]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[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]]=>16
[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]]=>12
[5,6,2,4,3,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[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]]=>8
[4,5,8,1,7,2,6,3]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[1,3,2,5,8,7,4,6]=>[[1,2,4,5],[3,6,8],[7]]=>11
[3,5,1,8,7,4,6,2]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[3,5,1,8,7,2,6,4]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[4,3,6,1,2,8,5,7]=>[[1,3,6,8],[2,5,7],[4]]=>19
[4,5,8,3,1,7,2,6]=>[[1,2,3],[4,6,8],[5,7]]=>11
[4,5,2,8,7,1,3,6]=>[[1,2,4],[3,5,8],[6,7]]=>13
[3,2,5,8,7,1,6,4]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[3,4,8,7,6,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[3,1,4,8,7,6,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[3,4,8,7,6,5,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[1,3,4,8,7,6,2,5]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[3,4,8,7,6,2,5,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[3,2,5,8,7,4,6,1]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[4,5,8,3,1,7,6,2]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[2,1,3,5,8,7,4,6]=>[[1,3,4,5],[2,6,8],[7]]=>12
[1,2,7,5,8,6,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[7,1,4,8,2,6,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[6,8,1,3,7,5,2,4]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[3,7,8,1,2,6,5,4]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[1,3,7,8,2,6,5,4]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[2,3,7,8,1,6,5,4]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[2,7,8,1,3,6,5,4]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[8,1,2,6,7,3,5,4]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[8,1,2,6,7,5,3,4]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[8,2,5,7,1,3,6,4]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[2,8,1,6,7,3,5,4]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[2,6,8,3,7,1,5,4]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[2,8,6,4,7,1,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[6,8,3,4,1,7,5,2]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[6,8,3,7,4,1,5,2]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[2,6,8,3,7,5,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[2,8,1,6,7,5,3,4]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[8,2,5,7,1,6,3,4]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[8,4,7,2,3,6,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[8,5,7,4,2,6,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>23
[8,3,5,7,4,1,6,2]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[8,5,2,4,7,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[8,2,3,5,7,1,6,4]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[8,2,4,7,3,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[8,2,7,1,4,6,3,5]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[8,7,1,2,4,6,3,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[8,7,1,4,6,2,3,5]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[8,4,7,1,3,6,2,5]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[1,6,8,3,7,2,5,4]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[8,3,5,7,1,2,6,4]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[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]]=>18
[8,5,4,7,1,2,6,3]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[8,5,1,4,7,2,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[1,4,6,8,2,7,5,3]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[1,6,5,8,2,7,4,3]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[8,5,6,3,1,7,4,2]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[5,6,2,8,1,7,4,3]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[1,8,4,5,7,2,6,3]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[5,8,7,3,6,1,2,4]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[8,3,5,7,1,6,2,4]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[1,6,8,3,7,5,2,4]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[6,3,8,2,7,5,1,4]=>[[1,3],[2,5],[4,6],[7,8]]=>22
[6,8,4,2,7,1,5,3]=>[[1,2],[3,5],[4,7],[6,8]]=>18
[8,6,4,7,3,1,5,2]=>[[1,4],[2,7],[3,8],[5],[6]]=>20
[8,4,5,7,3,1,6,2]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[8,4,2,5,7,1,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[8,3,4,7,2,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[8,7,1,3,4,6,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[8,3,7,2,4,6,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[2,8,4,5,7,1,6,3]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[8,7,3,4,5,1,6,2]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[8,7,4,5,2,6,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[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]]=>13
[8,7,2,3,6,1,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[1,3,2,8,5,4,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>12
[4,2,8,5,3,7,1,6]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[5,2,1,8,4,3,7,6]=>[[1,4,7],[2,5,8],[3,6]]=>14
[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]]=>17
[7,3,4,8,2,1,6,5]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[6,3,4,8,2,7,5,1]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[5,3,4,1,8,2,7,6]=>[[1,3,5],[2,6,7],[4,8]]=>17
[8,1,4,5,2,3,7,6]=>[[1,3,4,7],[2,6,8],[5]]=>16
[8,1,5,4,3,2,7,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[3,5,4,2,8,1,7,6]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[4,5,3,2,8,7,1,6]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[6,4,3,2,8,7,5,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>17
[6,5,3,2,1,7,8,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[5,6,3,2,7,8,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[4,1,6,3,2,7,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>14
[3,6,4,2,7,8,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[8,1,6,4,3,7,2,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[8,1,7,4,3,6,5,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[2,7,4,1,3,6,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>13
[3,7,4,2,6,1,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[4,1,7,3,2,6,5,8]=>[[1,3,6,8],[2,4],[5,7]]=>16
[5,7,3,2,6,4,8,1]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[6,7,3,2,5,4,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[7,6,3,2,1,5,4,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[4,7,5,6,2,3,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[3,1,7,5,6,2,4,8]=>[[1,3,5,8],[2,4,7],[6]]=>18
[2,7,5,6,1,3,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>14
[2,6,5,7,1,3,8,4]=>[[1,2,4,7],[3,6,8],[5]]=>15
[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]]=>15
[6,5,4,1,7,2,8,3]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[7,5,4,6,2,1,8,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[6,4,5,7,1,8,2,3]=>[[1,3,4,6],[2,7,8],[5]]=>14
[5,4,6,1,7,8,2,3]=>[[1,3,5,6],[2,7,8],[4]]=>15
[8,1,5,6,7,2,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>13
[2,1,4,6,8,7,3,5]=>[[1,3,4,5],[2,6,8],[7]]=>12
[3,4,6,8,7,1,2,5]=>[[1,2,3,4],[5,7,8],[6]]=>7
[4,3,1,6,8,7,2,5]=>[[1,4,5],[2,6,8],[3,7]]=>13
[5,3,6,8,7,2,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[6,3,5,1,8,7,2,4]=>[[1,3,5],[2,6,8],[4,7]]=>18
[7,3,5,8,6,2,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[7,2,8,5,6,3,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[6,2,8,5,1,7,3,4]=>[[1,3,6],[2,4,8],[5,7]]=>17
[4,2,1,8,6,7,3,5]=>[[1,4,6],[2,5,8],[3,7]]=>16
[1,3,2,8,6,7,4,5]=>[[1,2,4,6],[3,5,8],[7]]=>14
[2,3,8,6,7,1,4,5]=>[[1,2,3,5],[4,7,8],[6]]=>11
[8,1,3,2,6,7,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>15
[2,3,8,7,1,6,5,4]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[4,2,8,7,6,1,5,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[5,2,8,7,6,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[7,2,1,8,6,5,4,3]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[7,3,6,1,8,5,4,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[6,3,7,8,5,4,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[5,3,7,8,6,4,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[4,3,1,7,8,6,5,2]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[3,4,7,8,6,1,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[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]]=>13
[4,5,7,6,8,3,1,2]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[5,4,1,7,6,8,3,2]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[6,4,7,5,8,3,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[7,4,6,5,1,8,3,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[7,5,6,4,3,1,8,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[6,5,1,7,4,3,8,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[4,6,7,5,3,8,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[3,6,7,5,1,4,8,2]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[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]]=>27
[2,7,6,1,5,4,3,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[3,7,6,5,1,4,2,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[4,7,6,5,3,1,2,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[8,6,4,3,1,5,7,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[8,6,4,1,5,2,7,3]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[8,6,5,1,3,2,7,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[8,6,3,1,7,2,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[8,7,3,1,5,2,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[5,3,1,7,2,4,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[8,7,1,2,4,5,3,6]=>[[1,4,5,6,8],[2],[3],[7]]=>12
[8,6,1,2,4,7,3,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[8,5,1,2,6,7,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>10
[8,5,1,6,4,2,7,3]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[8,5,1,3,6,4,7,2]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[8,6,1,5,3,4,7,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>18
[8,6,1,5,2,4,7,3]=>[[1,4,6,7],[2],[3],[5],[8]]=>18
[8,6,1,2,5,7,3,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[8,6,1,2,7,4,3,5]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[8,7,1,2,5,4,3,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[5,1,4,2,3,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>15
[5,1,4,2,7,3,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>16
[7,1,5,8,2,6,3,4]=>[[1,3,4,8],[2,6],[5,7]]=>16
[5,7,8,1,2,4,6,3]=>[[1,2,3,7],[4,5,6],[8]]=>7
[5,7,8,1,3,4,6,2]=>[[1,2,3,7],[4,5,6],[8]]=>7
[5,8,1,7,3,4,6,2]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[8,1,5,7,2,4,6,3]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[8,4,1,2,7,6,3,5]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[1,4,2,3,8,7,5,6]=>[[1,2,4,5,8],[3,6],[7]]=>10
[1,4,2,7,6,3,5,8]=>[[1,2,4,7,8],[3,5],[6]]=>11
[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]]=>13
[3,1,8,4,6,7,5,2]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[3,1,7,6,4,8,5,2]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[7,1,2,4,6,8,5,3]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[7,1,2,6,8,5,3,4]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[6,1,2,7,8,5,3,4]=>[[1,3,4,5],[2,6,8],[7]]=>12
[6,1,2,7,4,8,5,3]=>[[1,3,4,6],[2,5,7],[8]]=>14
[3,1,6,4,7,8,5,2]=>[[1,3,5,6],[2,4,7],[8]]=>15
[5,7,1,3,8,4,6,2]=>[[1,2,5,7],[3,4,6],[8]]=>11
[5,7,1,8,4,2,6,3]=>[[1,2,4],[3,5,7],[6,8]]=>14
[7,1,5,3,2,8,6,4]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[7,1,4,5,2,8,6,3]=>[[1,3,4,6],[2,7],[5,8]]=>15
[4,7,3,1,5,8,6,2]=>[[1,2,6],[3,5,7],[4,8]]=>14
[4,8,7,3,1,5,6,2]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[8,1,7,4,5,2,6,3]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,1,7,5,3,2,6,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[8,3,7,1,2,6,4,5]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[3,1,2,8,4,7,5,6]=>[[1,3,4,6,8],[2,5],[7]]=>14
[3,1,2,8,6,4,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>12
[3,1,7,2,6,4,5,8]=>[[1,3,5,7,8],[2,4],[6]]=>16
[1,4,2,3,8,6,5,7]=>[[1,2,4,5,8],[3,6],[7]]=>10
[1,4,2,3,8,5,7,6]=>[[1,2,4,5,7],[3,6],[8]]=>11
[5,8,1,7,2,4,6,3]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[5,8,1,3,4,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[3,1,8,6,4,7,5,2]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[8,1,2,6,7,4,5,3]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[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]]=>4
[1,2,3,5,8,6,4,7]=>[[1,2,3,4,5,8],[6],[7]]=>4
[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]]=>14
[3,1,8,7,6,4,5,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[8,1,2,7,4,6,5,3]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[8,1,2,7,3,6,5,4]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[1,2,3,5,8,7,4,6]=>[[1,2,3,4,5],[6,8],[7]]=>5
[1,2,3,6,8,5,4,7]=>[[1,2,3,4,5],[6,8],[7]]=>5
[7,8,5,6,3,1,4,2]=>[[1,2],[3,4],[5,7],[6,8]]=>14
[7,5,6,3,1,4,2,8]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[7,5,8,3,1,4,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[7,8,5,3,1,4,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[7,8,5,3,1,6,2,4]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[7,8,5,3,1,6,4,2]=>[[1,2],[3,6],[4,7],[5,8]]=>15
[7,8,5,3,6,1,4,2]=>[[1,2],[3,5],[4,7],[6,8]]=>18
[7,8,5,3,6,4,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>16
[7,5,8,3,4,1,6,2]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[7,5,6,3,4,1,8,2]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[7,5,6,3,1,2,8,4]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[7,5,3,6,1,2,8,4]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[7,5,3,1,4,2,6,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[7,5,3,1,6,4,8,2]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[7,5,3,6,4,1,8,2]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[7,5,3,6,4,8,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[7,5,3,8,4,6,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[7,5,3,8,1,4,6,2]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[7,5,3,1,8,4,6,2]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[7,5,3,1,8,2,6,4]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[7,5,3,1,6,4,2,8]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[7,5,3,1,8,4,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[7,5,3,1,8,6,2,4]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[7,5,3,8,1,6,4,2]=>[[1,4],[2,6],[3,7],[5,8]]=>20
[7,5,3,8,6,1,4,2]=>[[1,4],[2,5],[3,7],[6,8]]=>19
[7,5,3,8,6,4,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>17
[7,5,8,3,6,4,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>22
[7,5,8,3,6,1,4,2]=>[[1,3],[2,5],[4,7],[6,8]]=>24
[7,5,8,3,1,6,4,2]=>[[1,3],[2,6],[4,7],[5,8]]=>21
[7,5,3,6,1,4,2,8]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[7,5,3,8,4,1,2,6]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[7,5,8,6,3,1,2,4]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[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]]=>18
[7,5,6,8,3,1,4,2]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[7,5,6,3,8,1,2,4]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[7,5,3,4,1,8,2,6]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[7,5,6,3,1,8,2,4]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[7,5,6,3,1,8,4,2]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[7,5,6,3,8,1,4,2]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[7,5,6,3,8,4,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[7,5,3,6,1,8,4,2]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[7,5,3,1,6,8,2,4]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[7,5,3,1,2,8,4,6]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[7,5,3,1,2,8,6,4]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[7,5,3,1,4,8,6,2]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[7,5,3,4,8,1,6,2]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[7,5,3,4,1,6,8,2]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[7,5,3,1,4,6,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[3,6,2,5,4,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[3,5,2,8,4,7,6,1]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[5,4,7,3,2,8,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[5,4,8,3,2,7,6,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>22
[6,4,5,3,2,1,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[5,3,2,6,4,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[4,5,8,3,2,7,6,1]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[4,7,6,3,8,5,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[4,8,6,3,7,5,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[4,8,5,3,2,7,6,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[5,8,4,3,2,7,6,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[5,3,2,8,4,7,6,1]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[2,1,5,8,4,7,6,3]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[5,3,2,7,4,8,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[5,7,4,3,2,8,6,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[4,7,5,3,2,8,6,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[4,7,8,3,6,5,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[4,6,8,3,7,5,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[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]]=>16
[2,1,8,6,7,5,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[8,3,2,6,7,5,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[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]]=>27
[8,4,5,3,2,7,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[8,4,7,3,6,5,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>26
[8,4,6,3,7,5,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[7,4,6,3,8,5,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[3,7,2,6,8,5,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[3,8,2,6,7,5,4,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[3,8,2,5,4,7,6,1]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[3,7,2,8,6,5,4,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[3,6,2,8,7,5,4,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[6,4,7,3,8,5,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[6,4,8,3,7,5,2,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[7,4,8,3,6,5,2,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[7,4,5,3,2,8,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[7,5,4,3,2,8,6,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>19
[7,3,2,5,4,8,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[2,1,7,5,4,8,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[7,3,2,8,6,5,4,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[7,8,4,3,6,5,2,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[6,8,5,7,4,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>16
[6,8,4,3,7,5,2,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[6,3,2,8,7,5,4,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[6,3,2,7,8,5,4,1]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[6,7,4,3,8,5,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[4,6,8,3,5,7,1,2]=>[[1,2,3],[4,5,6],[7,8]]=>7
[6,8,1,2,4,5,7,3]=>[[1,2,5,6,7],[3,4],[8]]=>8
[3,5,8,2,4,7,1,6]=>[[1,2,3],[4,5,6],[7,8]]=>7
[8,3,5,2,4,1,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[4,2,5,7,3,6,1,8]=>[[1,3,4,8],[2,5,6],[7]]=>12
[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]]=>13
[2,1,6,8,4,7,3,5]=>[[1,3,4],[2,5,6],[7,8]]=>13
[1,2,5,8,3,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6
[5,3,6,8,4,7,1,2]=>[[1,3,4],[2,5,6],[7,8]]=>13
[1,6,5,8,2,4,7,3]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[3,1,2,6,8,5,7,4]=>[[1,3,4,5],[2,6,7],[8]]=>11
[1,4,3,8,2,6,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>16
[5,4,8,3,2,1,6,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[5,4,3,7,2,6,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[4,3,6,2,7,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[4,6,3,2,1,8,5,7]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[4,1,7,3,2,5,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>14
[4,3,1,7,8,2,6,5]=>[[1,4,5],[2,6,7],[3,8]]=>12
[3,5,1,2,7,8,6,4]=>[[1,2,5,6],[3,4,7],[8]]=>9
[7,5,1,4,8,2,6,3]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[5,4,7,3,8,6,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[5,8,4,7,6,3,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[5,8,7,1,4,2,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[8,3,5,1,2,7,6,4]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[4,8,3,1,7,2,6,5]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[1,8,4,3,5,2,7,6]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[4,6,3,1,5,2,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>13
[4,7,3,6,5,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[5,3,7,6,4,2,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[1,6,3,4,2,8,7,5]=>[[1,2,4,6],[3,7],[5,8]]=>14
[1,8,3,6,2,7,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[1,6,8,7,4,2,5,3]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[6,4,8,7,5,3,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[7,6,4,3,8,5,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[1,7,6,2,8,4,5,3]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[7,1,3,2,6,8,5,4]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[1,5,3,2,7,4,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>11
[6,3,2,1,8,5,4,7]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[6,5,3,2,7,4,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[5,2,6,3,7,4,1,8]=>[[1,3,5,8],[2,4,6],[7]]=>16
[2,8,5,3,1,6,4,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[2,1,7,3,8,5,4,6]=>[[1,3,5,8],[2,4,6],[7]]=>16
[1,6,2,3,7,8,5,4]=>[[1,2,4,5,6],[3,7],[8]]=>9
[1,6,7,2,8,4,5,3]=>[[1,2,3,5],[4,6,7],[8]]=>9
[5,7,1,8,2,4,6,3]=>[[1,2,4,7],[3,5,6],[8]]=>12
[5,1,2,7,8,3,6,4]=>[[1,3,4,5],[2,6,7],[8]]=>11
[2,4,1,7,8,6,3,5]=>[[1,2,4,5],[3,6,8],[7]]=>11
[4,2,1,7,3,8,5,6]=>[[1,4,6,8],[2,5,7],[3]]=>14
[6,2,8,4,3,1,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[7,3,2,1,8,4,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[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]]=>14
[8,7,6,1,2,4,5,3]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[8,3,7,6,2,1,4,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[3,2,8,7,5,1,4,6]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[8,3,6,5,2,1,4,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[7,6,3,5,2,4,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[7,4,6,2,5,3,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[8,2,4,1,6,5,3,7]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[4,2,8,1,7,5,3,6]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[8,2,4,1,7,6,3,5]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[8,7,1,5,6,2,4,3]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[8,5,7,3,6,4,1,2]=>[[1,3],[2,5],[4,8],[6],[7]]=>24
[6,8,3,7,5,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[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]]=>15
[2,8,1,7,5,4,3,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[2,5,1,8,6,4,3,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[5,7,2,6,4,3,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[6,2,7,5,4,3,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[2,1,8,6,5,4,3,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[1,2,7,5,4,3,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[1,7,2,4,3,8,6,5]=>[[1,2,4,6],[3,7],[5,8]]=>14
[1,7,2,8,3,6,5,4]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[1,7,8,6,5,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[7,3,8,6,5,4,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[1,8,7,6,5,2,4,3]=>[[1,2,7],[3],[4],[5],[6],[8]]=>17
[8,1,7,3,2,6,5,4]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[5,1,4,3,2,8,7,6]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[8,6,5,3,2,1,7,4]=>[[1,7],[2,8],[3],[4],[5],[6]]=>18
[8,6,3,2,1,7,4,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[8,6,5,4,1,7,2,3]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[8,6,5,1,7,3,2,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[8,6,1,7,4,3,2,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[4,6,3,2,7,5,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[1,4,3,7,2,5,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>15
[7,4,8,3,1,6,2,5]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[7,1,5,8,3,2,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[5,7,4,1,8,2,6,3]=>[[1,2,5],[3,6,7],[4,8]]=>11
[5,7,4,3,1,8,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[1,8,7,2,5,4,6,3]=>[[1,2,5,7],[3],[4],[6],[8]]=>16
[1,8,5,3,7,2,6,4]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[4,3,1,8,7,5,2,6]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[1,4,8,6,3,5,2,7]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[7,4,6,3,5,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[1,3,5,6,8,4,2,7]=>[[1,2,3,4,5],[6,8],[7]]=>5
[3,5,4,8,7,1,2,6]=>[[1,2,4],[3,5,8],[6,7]]=>13
[3,1,4,6,8,7,2,5]=>[[1,3,4,5],[2,6,8],[7]]=>12
[1,6,3,8,7,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[1,6,2,4,8,7,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[8,4,1,6,7,5,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[7,1,6,4,8,5,2,3]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[7,3,6,8,5,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[1,3,7,2,6,8,4,5]=>[[1,2,3,6],[4,5,8],[7]]=>9
[3,6,5,2,8,1,4,7]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[3,6,5,7,2,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[4,2,6,3,8,1,5,7]=>[[1,3,5,8],[2,4,7],[6]]=>18
[4,2,6,7,3,5,1,8]=>[[1,3,4,8],[2,5,6],[7]]=>12
[3,6,2,4,7,5,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>10
[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]]=>19
[7,3,5,2,1,8,6,4]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[8,7,6,4,3,1,5,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>18
[8,7,6,4,1,5,2,3]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[3,8,7,2,1,4,6,5]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[3,8,2,7,1,5,4,6]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[3,6,8,2,1,5,4,7]=>[[1,2,3],[4,6,8],[5,7]]=>11
[2,4,8,1,6,5,3,7]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[4,2,8,1,5,7,3,6]=>[[1,3,6],[2,5,8],[4,7]]=>21
[8,5,7,6,1,4,2,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[8,6,1,7,3,5,4,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[8,6,1,7,5,4,2,3]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[1,6,2,8,7,3,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[1,8,2,4,6,7,3,5]=>[[1,2,4,5,6],[3,8],[7]]=>10
[2,8,5,4,7,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[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]]=>17
[1,2,5,7,8,4,3,6]=>[[1,2,3,4,5],[6,8],[7]]=>5
[1,2,7,4,8,6,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>10
[1,2,7,8,3,6,5,4]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[7,1,8,6,3,5,4,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[1,8,7,6,3,5,2,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[1,8,7,4,6,3,2,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[7,1,5,8,3,4,6,2]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[7,1,6,4,2,3,5,8]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[8,6,2,4,7,3,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[8,6,2,4,5,7,3,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>15
[2,7,1,4,5,8,3,6]=>[[1,2,5,6],[3,4,8],[7]]=>10
[7,1,6,4,5,2,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[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]]=>19
[7,1,2,3,8,5,4,6]=>[[1,3,4,5,8],[2,6],[7]]=>11
[7,1,5,4,3,8,2,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[7,1,3,4,2,6,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>13
[7,1,5,4,6,2,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[7,1,5,6,4,3,8,2]=>[[1,3,4,7],[2],[5],[6],[8]]=>18
[7,1,6,5,4,3,2,8]=>[[1,3,8],[2],[4],[5],[6],[7]]=>22
[8,6,2,5,4,3,7,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>22
[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]]=>9
[3,5,1,4,8,6,2,7]=>[[1,2,5,8],[3,4,6],[7]]=>10
[3,6,2,4,7,8,1,5]=>[[1,2,5,6],[3,4,8],[7]]=>10
[5,6,2,4,8,7,1,3]=>[[1,2,5],[3,4,6],[7,8]]=>11
[6,3,8,2,4,7,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[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]]=>19
[6,3,4,2,8,5,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[3,4,7,2,5,8,1,6]=>[[1,2,3,6],[4,5,8],[7]]=>9
[4,6,8,1,3,5,2,7]=>[[1,2,3,8],[4,5,6],[7]]=>6
[4,3,8,1,2,7,5,6]=>[[1,3,6,8],[2,5],[4,7]]=>20
[3,6,4,1,7,2,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>10
[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]]=>16
[4,3,1,7,6,8,2,5]=>[[1,4,6],[2,5,8],[3,7]]=>16
[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]]=>10
[3,7,4,1,6,2,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>11
[8,4,7,2,5,3,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[4,7,8,1,2,3,6,5]=>[[1,2,3,7],[4,5,6],[8]]=>7
[2,8,6,1,5,3,7,4]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[7,6,5,1,3,8,2,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[7,6,5,1,3,4,8,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[7,2,6,4,1,3,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[6,7,5,2,1,3,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[8,4,5,3,7,2,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[4,7,5,2,8,1,6,3]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[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]]=>16
[7,2,3,4,1,6,5,8]=>[[1,3,4,6,8],[2,7],[5]]=>14
[4,2,8,3,6,1,5,7]=>[[1,3,5,8],[2,4],[6,7]]=>17
[6,8,5,7,2,1,3,4]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[4,8,5,2,7,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[6,3,5,2,1,7,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[6,8,5,3,1,4,2,7]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[3,6,5,4,2,8,1,7]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[1,6,4,7,2,5,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>15
[1,6,4,8,2,5,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>15
[1,6,5,8,2,4,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[1,6,8,2,4,3,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>8
[1,6,2,4,3,7,8,5]=>[[1,2,4,6,7],[3,8],[5]]=>12
[1,5,6,2,4,7,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,5,6,2,4,7,8,3]=>[[1,2,3,6,7],[4,5],[8]]=>7
[1,5,8,2,4,7,3,6]=>[[1,2,3,6],[4,5],[7,8]]=>9
[1,5,7,2,4,8,3,6]=>[[1,2,3,6],[4,5,8],[7]]=>9
[1,6,5,7,2,4,3,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[1,6,7,2,4,3,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>7
[1,5,6,7,2,4,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>6
[1,5,8,2,4,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>7
[1,5,7,2,4,6,8,3]=>[[1,2,3,6,7],[4,5],[8]]=>7
[1,5,7,8,3,2,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>7
[1,5,8,3,2,4,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>9
[1,5,6,2,4,8,3,7]=>[[1,2,3,6],[4,5,8],[7]]=>9
[1,7,6,2,8,3,4,5]=>[[1,2,5,7,8],[3,6],[4]]=>10
[1,7,3,4,2,8,6,5]=>[[1,2,4,6],[3,7],[5,8]]=>14
[1,6,2,4,3,8,7,5]=>[[1,2,4,6],[3,7],[5,8]]=>14
[1,5,6,2,4,8,7,3]=>[[1,2,3,6],[4,5,7],[8]]=>8
[1,5,8,7,3,2,4,6]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[1,4,2,3,5,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>9
[1,5,2,3,4,8,7,6]=>[[1,2,4,5,6],[3,7],[8]]=>9
[1,6,5,2,3,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>10
[1,7,4,2,8,6,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[1,7,6,5,2,8,4,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[1,6,7,5,2,3,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>10
[1,7,5,2,8,4,3,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[1,7,5,6,2,8,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>13
[1,5,7,6,2,4,8,3]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[1,5,8,3,2,4,7,6]=>[[1,2,3,7],[4,6],[5,8]]=>11
[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]]=>8
[1,6,8,4,2,3,7,5]=>[[1,2,3,7],[4,6],[5,8]]=>11
[1,7,4,6,2,8,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>13
[1,7,3,5,2,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>13
[1,6,8,5,2,3,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>11
[1,6,4,2,3,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>8
[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]]=>12
[1,5,7,3,2,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>10
[1,7,3,4,2,8,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,7,4,2,8,5,3,6]=>[[1,2,5,8],[3,6],[4,7]]=>11
[1,6,7,4,2,3,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>10
[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]]=>12
[1,7,5,2,8,6,4,3]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[1,6,4,2,3,8,7,5]=>[[1,2,5,6],[3,7],[4,8]]=>10
[7,3,5,6,1,4,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[3,7,5,6,1,4,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[8,2,4,1,6,7,5,3]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[8,6,1,4,2,7,5,3]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[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]]=>12
[6,7,1,4,3,5,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[7,6,1,4,3,5,8,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>18
[3,5,4,1,6,7,8,2]=>[[1,2,5,6,7],[3,8],[4]]=>8
[4,7,1,6,3,5,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[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]]=>16
[7,1,6,4,3,5,8,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>19
[1,7,6,4,3,5,8,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>13
[8,1,6,4,2,7,5,3]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[8,4,1,3,7,2,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[4,7,1,3,8,2,5,6]=>[[1,2,5,8],[3,4,7],[6]]=>12
[7,4,1,3,8,2,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[1,3,6,4,2,8,5,7]=>[[1,2,3,6,8],[4,7],[5]]=>8
[4,7,3,1,2,8,5,6]=>[[1,2,6,8],[3,5,7],[4]]=>13
[4,7,8,1,2,6,5,3]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[6,8,1,4,2,7,5,3]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[1,8,6,4,2,7,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[4,8,1,3,7,2,5,6]=>[[1,2,5,8],[3,4],[6,7]]=>11
[8,7,1,3,6,2,5,4]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[6,8,5,7,3,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[1,8,4,3,7,2,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[2,8,3,4,7,6,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[3,7,8,4,6,2,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[3,7,4,6,8,2,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[2,4,3,7,8,6,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>11
[1,4,7,3,8,2,5,6]=>[[1,2,3,5],[4,7,8],[6]]=>11
[5,7,6,8,3,2,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[2,5,3,4,8,6,1,7]=>[[1,2,4,5,8],[3,6],[7]]=>10
[3,7,5,4,8,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[7,1,3,4,2,8,5,6]=>[[1,3,4,6,8],[2,7],[5]]=>14
[6,1,4,3,8,2,5,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[4,1,7,3,8,2,5,6]=>[[1,3,5,8],[2,4,7],[6]]=>18
[8,1,4,3,7,2,5,6]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[8,2,3,4,7,6,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[4,2,3,7,8,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>12
[5,2,3,4,8,6,1,7]=>[[1,3,4,5,8],[2,6],[7]]=>11
[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]]=>12
[5,7,2,6,8,4,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[7,2,5,6,8,4,1,3]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[4,2,3,8,5,6,1,7]=>[[1,3,4,6,8],[2,5],[7]]=>14
[5,2,3,8,7,6,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[8,2,3,7,5,6,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[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]]=>12
[4,7,1,8,2,5,6,3]=>[[1,2,4,7],[3,5,6],[8]]=>12
[3,7,4,8,5,2,1,6]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[2,4,3,8,5,6,1,7]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,4,8,3,6,2,5,7]=>[[1,2,3,8],[4,5],[6,7]]=>7
[7,5,8,6,3,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[6,5,8,7,3,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[8,5,7,6,3,2,1,4]=>[[1,3],[2,8],[4],[5],[6],[7]]=>23
[2,5,3,8,7,6,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[3,7,5,8,6,2,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[3,7,8,6,5,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[1,8,7,3,6,2,5,4]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[6,8,7,5,3,2,1,4]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[5,7,6,8,3,4,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[3,7,6,8,4,5,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[1,5,4,7,6,8,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>14
[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]]=>14
[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]]=>14
[1,6,2,7,5,8,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>14
[1,6,4,8,5,7,2,3]=>[[1,2,4,6],[3,5],[7,8]]=>14
[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]]=>14
[7,8,1,5,4,6,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[7,8,1,5,2,4,3,6]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[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]]=>14
[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]]=>14
[1,7,6,8,2,5,3,4]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[1,7,6,8,4,5,2,3]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[5,7,6,8,1,4,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[7,8,5,6,1,3,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[5,8,6,7,1,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[1,3,2,7,6,8,4,5]=>[[1,2,4,6],[3,5,8],[7]]=>14
[1,7,6,8,2,4,3,5]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[7,8,1,3,2,6,4,5]=>[[1,2,6,8],[3,4],[5,7]]=>10
[7,8,1,6,2,4,3,5]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[1,8,6,7,2,4,3,5]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[7,8,1,4,2,6,3,5]=>[[1,2,6,8],[3,4],[5,7]]=>10
[7,8,1,4,2,5,3,6]=>[[1,2,6,8],[3,4],[5,7]]=>10
[7,8,2,1,4,3,6,5]=>[[1,2,7],[3,5,8],[4,6]]=>13
[7,8,1,2,4,3,5,6]=>[[1,2,5,7,8],[3,4],[6]]=>10
[4,3,6,5,8,7,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>17
[3,4,6,5,7,8,1,2]=>[[1,2,3,5,6],[4,8],[7]]=>9
[1,6,2,3,8,7,4,5]=>[[1,2,4,5,8],[3,6],[7]]=>10
[1,7,4,3,2,8,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[1,4,7,6,2,5,8,3]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[1,2,6,5,3,7,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>8
[1,2,6,5,3,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>7
[1,3,7,5,2,6,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>7
[1,3,7,4,2,6,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>7
[1,2,6,4,3,7,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>7
[1,2,6,4,3,7,5,8]=>[[1,2,3,6,8],[4,7],[5]]=>8
[1,4,7,3,2,5,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>10
[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]]=>12
[1,5,3,2,4,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>10
[7,6,5,4,3,1,8,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>18
[6,8,5,4,3,2,1,7]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[7,1,5,4,3,8,6,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[3,6,5,4,8,1,7,2]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[6,8,1,4,3,2,7,5]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[2,8,5,4,3,7,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[7,6,1,4,3,8,5,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[4,6,5,8,3,1,7,2]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[6,8,5,1,3,2,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[1,8,2,4,3,7,6,5]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[3,8,5,4,7,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[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]]=>12
[1,4,5,8,3,7,6,2]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[6,8,5,4,1,2,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[1,8,5,2,3,7,6,4]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[6,8,2,4,3,7,1,5]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[1,8,3,4,7,2,6,5]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[7,5,8,4,3,2,1,6]=>[[1,3],[2,8],[4],[5],[6],[7]]=>23
[4,8,5,7,3,2,1,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[5,1,7,6,8,4,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[8,4,7,5,2,6,1,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[5,4,6,8,2,1,7,3]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[8,4,6,5,2,1,7,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[4,8,7,5,6,1,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[2,7,5,1,8,4,3,6]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[5,1,8,7,4,2,3,6]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[2,8,6,7,4,3,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[3,6,5,2,4,1,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[5,2,3,6,4,1,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13
[6,1,4,5,3,2,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[3,8,7,1,4,6,5,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[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]]=>17
[3,2,6,8,5,7,1,4]=>[[1,3,4],[2,5,6],[7,8]]=>13
[6,3,7,2,4,8,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[7,4,8,6,5,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[7,1,8,2,5,4,3,6]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[2,5,3,7,4,1,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>12
[3,6,4,7,5,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>13
[8,4,7,6,2,3,1,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[8,4,7,1,2,5,6,3]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[4,2,8,7,3,5,6,1]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[8,1,7,4,2,5,6,3]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[7,4,3,8,2,5,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[6,4,1,5,8,2,7,3]=>[[1,4,5],[2,6,7],[3,8]]=>12
[2,5,8,7,3,6,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[2,1,5,8,7,4,6,3]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[8,3,5,6,7,4,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[7,4,3,2,8,5,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[4,2,7,1,8,5,6,3]=>[[1,3,5],[2,6,7],[4,8]]=>17
[4,1,7,2,8,5,6,3]=>[[1,3,5,7],[2,4,6],[8]]=>17
[2,4,8,7,3,5,6,1]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[4,7,8,3,1,5,6,2]=>[[1,2,3],[4,6,7],[5,8]]=>10
[3,4,7,2,8,5,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>9
[3,7,1,4,8,5,6,2]=>[[1,2,5,7],[3,4,6],[8]]=>11
[7,2,3,4,8,5,6,1]=>[[1,3,4,5,7],[2,6],[8]]=>12
[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]]=>15
[2,1,8,3,6,7,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[8,2,1,6,4,7,5,3]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[7,8,2,6,4,1,5,3]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[2,6,3,5,8,7,1,4]=>[[1,2,4,5],[3,6],[7,8]]=>11
[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]]=>13
[5,1,6,8,4,7,2,3]=>[[1,3,4],[2,5,6],[7,8]]=>13
[3,6,8,7,5,2,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[7,4,8,6,5,2,3,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[8,1,6,4,7,3,2,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[7,6,4,1,2,3,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[2,6,4,8,5,3,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[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]]=>15
[8,4,7,1,5,2,3,6]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[4,8,7,5,6,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[6,1,4,8,7,3,5,2]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[7,2,8,4,3,5,6,1]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[4,7,8,1,3,5,6,2]=>[[1,2,3,7],[4,5,6],[8]]=>7
[8,7,3,4,1,5,6,2]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[4,8,2,7,3,5,6,1]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[3,1,8,7,2,5,6,4]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[3,8,1,7,2,5,6,4]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[8,2,3,7,1,5,6,4]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[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]]=>13
[4,3,8,2,7,6,1,5]=>[[1,3],[2,5],[4,6],[7,8]]=>22
[6,8,4,2,1,3,7,5]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[7,8,2,4,3,5,6,1]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[2,8,3,7,1,5,6,4]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[8,1,2,7,3,5,6,4]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[6,4,1,3,2,8,5,7]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[5,3,8,6,2,1,4,7]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[4,6,5,2,8,3,1,7]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[4,3,7,5,1,8,2,6]=>[[1,3,6],[2,4,8],[5,7]]=>17
[6,8,5,2,7,4,3,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[7,2,5,4,3,8,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[3,6,8,1,4,5,2,7]=>[[1,2,3,8],[4,5,6],[7]]=>6
[6,8,1,2,4,5,3,7]=>[[1,2,5,6,8],[3,4],[7]]=>9
[8,1,6,2,4,5,3,7]=>[[1,3,5,6,8],[2],[4],[7]]=>17
[3,8,6,1,2,5,4,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[5,8,1,6,2,3,4,7]=>[[1,2,6,7,8],[3,4],[5]]=>7
[4,1,6,5,8,2,3,7]=>[[1,3,5,8],[2,4,7],[6]]=>18
[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]]=>21
[2,3,6,8,4,5,1,7]=>[[1,2,3,4,8],[5,6],[7]]=>5
[2,7,5,4,3,8,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[6,3,8,7,4,2,5,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[5,8,4,3,7,6,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>16
[8,7,4,3,1,6,2,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[1,7,4,3,8,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[7,1,5,3,4,8,2,6]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[2,8,6,1,7,4,5,3]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[4,8,6,5,7,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[4,7,6,8,2,1,5,3]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[6,1,8,7,4,3,5,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[8,5,4,3,1,6,7,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[1,5,8,6,3,4,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[2,5,8,6,3,4,7,1]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[4,1,3,8,5,6,7,2]=>[[1,3,4,6,7],[2,5],[8]]=>13
[6,5,8,4,3,1,7,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[4,6,5,2,8,1,7,3]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[7,2,8,1,3,6,4,5]=>[[1,3,6,8],[2,5],[4,7]]=>20
[1,8,5,2,3,6,7,4]=>[[1,2,5,6,7],[3,8],[4]]=>8
[1,8,3,2,5,6,7,4]=>[[1,2,5,6,7],[3,8],[4]]=>8
[2,8,3,1,5,6,7,4]=>[[1,2,5,6,7],[3,8],[4]]=>8
[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]]=>14
[2,1,8,3,5,6,7,4]=>[[1,3,5,6,7],[2,4],[8]]=>14
[1,4,8,2,3,6,7,5]=>[[1,2,3,6,7],[4,5],[8]]=>7
[3,1,2,7,8,6,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>12
[7,5,1,8,2,4,3,6]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[3,5,8,1,2,4,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>7
[4,5,8,1,2,3,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>7
[4,2,7,1,8,6,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>18
[3,8,4,1,2,6,7,5]=>[[1,2,6,7],[3,5,8],[4]]=>12
[5,4,8,2,3,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[5,8,3,6,7,4,1,2]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[2,3,1,6,8,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>10
[2,4,3,7,1,8,5,6]=>[[1,2,4,6],[3,7,8],[5]]=>13
[1,4,7,3,2,8,5,6]=>[[1,2,3,6],[4,7,8],[5]]=>8
[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]]=>12
[8,4,1,3,6,2,7,5]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[6,8,5,1,7,2,3,4]=>[[1,2,7,8],[3,5],[4,6]]=>12
[7,3,6,5,8,2,1,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[7,6,3,5,8,2,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[4,5,8,7,3,6,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[3,5,2,8,6,1,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>13
[8,2,5,6,1,4,7,3]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[8,6,5,4,1,2,7,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[2,6,1,8,3,7,5,4]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[4,7,1,6,2,8,5,3]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[6,1,5,3,8,7,2,4]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[2,8,6,3,7,1,5,4]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[7,6,1,5,8,2,3,4]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[3,6,8,5,1,2,7,4]=>[[1,2,3],[4,6,7],[5,8]]=>10
[6,5,2,4,8,1,7,3]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[5,1,4,8,2,6,7,3]=>[[1,3,4,7],[2,6],[5,8]]=>17
[4,8,2,5,1,6,7,3]=>[[1,2,6,7],[3,4],[5,8]]=>9
[3,4,8,5,2,6,7,1]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[4,2,1,8,5,6,7,3]=>[[1,4,6,7],[2,5],[3,8]]=>14
[1,5,4,8,2,6,7,3]=>[[1,2,4,7],[3,6],[5,8]]=>16
[7,2,1,5,8,6,3,4]=>[[1,4,5],[2,6,8],[3,7]]=>13
[2,8,4,5,1,6,7,3]=>[[1,2,4,6,7],[3,8],[5]]=>12
[5,4,8,3,7,6,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>22
[3,1,5,8,6,2,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>13
[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]]=>17
[7,6,1,2,8,3,5,4]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[7,5,8,4,1,2,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[7,5,8,4,6,1,3,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[6,5,4,8,7,1,3,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[6,5,4,8,1,2,7,3]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[7,5,1,6,2,3,8,4]=>[[1,4,6,7],[2,5,8],[3]]=>13
[7,5,1,6,8,2,4,3]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[6,5,4,1,8,2,7,3]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[6,5,4,7,1,2,8,3]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[6,5,4,7,8,1,3,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[6,5,3,7,1,4,2,8]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[6,5,3,1,8,4,2,7]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[7,5,1,4,8,3,2,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[8,1,6,4,7,3,5,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[7,5,1,4,8,3,6,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[6,5,3,7,1,4,8,2]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[6,4,3,1,5,8,7,2]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[7,4,1,5,3,8,6,2]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[8,1,5,4,3,7,6,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[8,1,5,4,3,7,2,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[7,4,1,5,3,8,2,6]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[7,4,1,5,3,2,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[8,1,5,4,3,2,6,7]=>[[1,3,7,8],[2],[4],[5],[6]]=>18
[8,1,6,4,2,5,3,7]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[6,5,3,1,2,7,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[6,5,3,8,1,4,2,7]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[7,6,8,1,4,3,2,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[8,1,7,2,5,4,3,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>21
[8,1,7,2,5,4,6,3]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[7,6,1,2,5,4,8,3]=>[[1,4,5,7],[2],[3],[6],[8]]=>17
[6,5,3,8,1,4,7,2]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[6,5,3,1,2,7,8,4]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[7,5,1,4,2,6,8,3]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[8,1,6,4,2,5,7,3]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[7,4,1,5,3,2,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[6,4,3,1,5,2,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[6,4,3,1,5,7,2,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[7,4,1,5,3,6,2,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[8,1,5,4,3,6,2,7]=>[[1,3,6,8],[2],[4],[5],[7]]=>20
[8,1,5,4,3,6,7,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>19
[7,4,1,5,3,6,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[6,4,3,1,5,7,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[6,7,3,8,4,5,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>12
[6,7,4,5,1,8,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>11
[4,7,5,6,2,3,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[4,7,5,6,1,8,2,3]=>[[1,2,4,6],[3,7,8],[5]]=>13
[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]]=>18
[4,5,3,8,6,7,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>14
[4,8,3,6,5,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[5,6,4,7,1,8,2,3]=>[[1,2,4,6],[3,7,8],[5]]=>13
[5,6,1,7,3,8,2,4]=>[[1,2,4,6],[3,5,8],[7]]=>14
[5,6,1,8,2,7,3,4]=>[[1,2,4,8],[3,5,6],[7]]=>11
[5,6,1,8,4,7,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>12
[4,8,1,6,5,7,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[4,5,1,8,6,7,2,3]=>[[1,2,4,6],[3,5,8],[7]]=>14
[7,8,4,5,1,6,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>11
[4,8,2,3,1,6,5,7]=>[[1,2,6,8],[3,4],[5,7]]=>10
[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]]=>11
[3,6,4,5,2,7,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>15
[3,6,4,5,1,8,2,7]=>[[1,2,4,6],[3,7,8],[5]]=>13
[2,6,4,8,1,5,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>15
[2,8,3,6,1,5,4,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[2,8,3,4,1,6,5,7]=>[[1,2,4,6,8],[3,7],[5]]=>13
[7,8,2,5,3,4,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[7,8,1,5,3,6,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[1,5,3,8,6,7,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>14
[1,8,3,6,2,7,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>13
[1,6,4,8,2,7,3,5]=>[[1,2,4,8],[3,6],[5,7]]=>15
[2,6,4,7,3,5,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[2,7,3,6,4,5,1,8]=>[[1,2,4,6,8],[3],[5],[7]]=>15
[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]]=>14
[1,7,5,8,4,6,2,3]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[1,7,5,8,2,6,3,4]=>[[1,2,4,8],[3,6],[5,7]]=>15
[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]]=>16
[6,7,2,5,3,4,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[6,7,1,5,3,8,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[6,7,5,8,1,4,2,3]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[5,8,6,7,2,3,1,4]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[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]]=>13
[3,4,1,7,5,8,2,6]=>[[1,2,4,6],[3,5,8],[7]]=>14
[2,7,5,8,1,4,3,6]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[2,3,1,7,5,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>14
[2,3,1,8,4,7,5,6]=>[[1,2,4,6,8],[3,5],[7]]=>13
[7,8,2,3,1,6,4,5]=>[[1,2,6,8],[3,4],[5,7]]=>10
[7,8,2,6,1,4,3,5]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[2,8,6,7,1,4,3,5]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[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]]=>11
[4,5,2,7,3,6,1,8]=>[[1,2,4,8],[3,5,6],[7]]=>11
[4,5,1,8,2,7,3,6]=>[[1,2,4,8],[3,5,6],[7]]=>11
[3,4,1,8,2,7,5,6]=>[[1,2,4,8],[3,5,6],[7]]=>11
[3,4,1,8,6,7,2,5]=>[[1,2,4,6],[3,5,8],[7]]=>14
[3,4,2,5,1,8,6,7]=>[[1,2,4,6,8],[3,7],[5]]=>13
[3,4,2,8,1,6,5,7]=>[[1,2,4,8],[3,6],[5,7]]=>15
[3,8,2,5,1,6,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>10
[4,5,2,8,1,6,3,7]=>[[1,2,4,8],[3,6],[5,7]]=>15
[4,5,3,6,1,8,2,7]=>[[1,2,4,6],[3,7,8],[5]]=>13
[8,6,7,1,4,2,5,3]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[8,6,3,7,5,1,2,4]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[7,6,1,8,3,5,2,4]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[7,6,2,8,3,5,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[7,6,2,3,8,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[8,6,2,7,3,1,5,4]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[8,7,2,5,1,6,3,4]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[8,4,2,1,7,6,3,5]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[8,5,7,2,1,4,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[5,8,7,3,1,4,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[5,8,7,3,1,4,6,2]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[8,5,7,2,1,4,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[8,4,2,1,3,7,6,5]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[8,4,3,1,7,2,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[8,5,1,3,2,7,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[5,2,8,6,4,1,3,7]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[8,4,7,5,1,6,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[8,4,7,5,1,2,3,6]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[8,7,3,5,1,2,6,4]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[8,3,2,6,5,1,4,7]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[4,8,6,3,5,1,2,7]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[4,8,7,3,1,5,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[8,4,7,2,1,5,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[8,3,2,7,1,5,4,6]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[8,7,3,1,4,2,6,5]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[8,7,3,1,2,6,4,5]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[8,7,3,1,2,4,6,5]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[8,3,2,1,4,7,6,5]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[8,3,2,1,7,4,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[8,3,2,7,1,5,6,4]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[8,4,7,2,1,5,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[8,7,2,1,6,3,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[3,6,5,4,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[3,8,5,6,7,4,1,2]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[4,7,5,8,6,2,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[2,5,7,8,6,3,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[4,8,5,7,6,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[4,6,3,2,1,5,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[6,2,1,5,3,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>13
[5,8,1,3,7,6,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[4,7,2,3,6,1,8,5]=>[[1,2,5,7],[3,4],[6,8]]=>12
[3,7,4,2,8,1,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[4,2,6,8,5,7,3,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[6,4,2,7,3,8,5,1]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[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]]=>15
[2,1,4,7,6,3,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13
[6,4,7,8,5,3,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[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]]=>15
[6,3,7,1,5,2,8,4]=>[[1,3,7],[2,5,8],[4,6]]=>19
[3,2,6,8,4,7,5,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[8,4,6,1,3,2,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[4,2,8,6,7,3,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[7,4,3,8,2,1,5,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[4,7,5,8,1,6,3,2]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[6,4,3,2,7,8,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[4,2,5,1,6,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>14
[2,4,8,5,7,1,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>11
[3,7,1,4,6,8,5,2]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[7,8,2,5,6,1,4,3]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[2,4,3,8,7,5,6,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[2,6,7,3,5,1,8,4]=>[[1,2,3,7],[4,5],[6,8]]=>8
[7,6,8,4,2,5,3,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>22
[8,5,7,1,6,3,2,4]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[6,5,7,2,8,4,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[3,4,8,6,5,2,1,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[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]]=>19
[7,4,3,5,1,6,8,2]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[4,1,6,3,5,8,7,2]=>[[1,3,5,6],[2,4,7],[8]]=>15
[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]]=>26
[2,1,6,5,8,4,7,3]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[2,1,6,8,5,4,3,7]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[4,1,8,5,6,2,3,7]=>[[1,3,5,8],[2,4,7],[6]]=>18
[2,6,4,8,7,3,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[6,2,8,4,3,5,1,7]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[4,8,2,7,6,1,3,5]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[3,1,8,2,7,5,4,6]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[3,8,1,2,6,7,4,5]=>[[1,2,5,6],[3,4,8],[7]]=>10
[5,8,4,3,2,7,1,6]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[7,4,8,6,3,2,5,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[5,8,4,7,2,1,3,6]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[2,1,8,4,3,7,5,6]=>[[1,3,6,8],[2,4,7],[5]]=>15
[6,3,8,2,4,5,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[5,8,4,2,3,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[5,8,2,4,3,1,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[2,8,3,1,6,4,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>10
[8,2,1,3,4,7,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>10
[1,4,8,2,6,3,5,7]=>[[1,2,3,7,8],[4,5],[6]]=>6
[1,2,7,3,5,4,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>10
[1,2,3,8,4,5,7,6]=>[[1,2,3,4,6,7],[5],[8]]=>6
[1,2,8,3,4,5,7,6]=>[[1,2,3,5,6,7],[4],[8]]=>7
[1,3,8,2,6,4,5,7]=>[[1,2,3,7,8],[4,5],[6]]=>6
[1,5,7,2,3,6,4,8]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,7,2,3,5,4,8,6]=>[[1,2,4,5,7],[3,8],[6]]=>11
[1,3,8,2,4,5,7,6]=>[[1,2,3,6,7],[4,5],[8]]=>7
[1,2,3,8,4,6,7,5]=>[[1,2,3,4,6,7],[5],[8]]=>6
[1,8,2,3,5,4,6,7]=>[[1,2,4,5,7,8],[3],[6]]=>10
[1,7,8,2,3,6,4,5]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,6,7,8,2,3,5,4]=>[[1,2,3,4],[5,6,7],[8]]=>5
[1,7,8,2,5,3,6,4]=>[[1,2,3,7],[4,5],[6,8]]=>8
[1,7,8,2,4,5,3,6]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,2,8,3,6,4,5,7]=>[[1,2,3,5,7,8],[4],[6]]=>9
[1,8,2,3,6,4,5,7]=>[[1,2,4,5,7,8],[3],[6]]=>10
[1,2,8,3,5,4,6,7]=>[[1,2,3,5,7,8],[4],[6]]=>9
[1,2,7,8,3,6,4,5]=>[[1,2,3,4,8],[5,6],[7]]=>5
[1,5,2,7,8,3,6,4]=>[[1,2,4,5],[3,6,7],[8]]=>10
[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]]=>8
[1,7,8,2,4,3,6,5]=>[[1,2,3,7],[4,5],[6,8]]=>8
[6,7,3,1,5,2,8,4]=>[[1,2,7],[3,5,8],[4,6]]=>13
[6,8,3,1,5,2,7,4]=>[[1,2,7],[3,5,8],[4,6]]=>13
[6,7,4,5,1,2,8,3]=>[[1,2,7],[3,4,8],[5,6]]=>9
[7,3,6,1,5,2,4,8]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[6,7,5,4,1,2,8,3]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[5,8,6,4,1,7,2,3]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[5,7,6,4,1,8,2,3]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[6,4,7,5,1,2,8,3]=>[[1,3,7],[2,4,8],[5,6]]=>15
[6,2,1,7,5,3,8,4]=>[[1,4,7],[2,5,8],[3,6]]=>14
[6,3,8,1,5,2,7,4]=>[[1,3,7],[2,5,8],[4,6]]=>19
[5,6,8,4,1,7,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>11
[4,6,8,5,7,1,2,3]=>[[1,2,3],[4,5,8],[6,7]]=>8
[4,5,8,6,7,1,2,3]=>[[1,2,3,5],[4,7,8],[6]]=>11
[5,4,8,6,1,7,2,3]=>[[1,3,6],[2,4,8],[5,7]]=>17
[5,3,8,1,6,7,2,4]=>[[1,3,6],[2,5,8],[4,7]]=>21
[5,2,1,7,6,8,3,4]=>[[1,4,6],[2,5,8],[3,7]]=>16
[5,4,7,6,1,8,2,3]=>[[1,3,6],[2,4,8],[5,7]]=>17
[4,8,6,5,7,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[4,7,5,6,8,1,2,3]=>[[1,2,4,5],[3,7,8],[6]]=>12
[4,6,5,7,8,1,2,3]=>[[1,2,4,5],[3,7,8],[6]]=>12
[5,7,4,6,1,8,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>11
[5,8,4,6,1,7,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>11
[5,8,3,1,6,7,2,4]=>[[1,2,6],[3,5,8],[4,7]]=>15
[5,7,3,1,6,8,2,4]=>[[1,2,6],[3,5,8],[4,7]]=>15
[5,6,3,1,7,8,2,4]=>[[1,2,5,6],[3,7,8],[4]]=>9
[5,8,3,1,7,6,2,4]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[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]]=>17
[4,8,6,7,5,1,2,3]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[5,2,1,7,8,6,3,4]=>[[1,4,5],[2,6,8],[3,7]]=>13
[5,3,8,1,7,6,2,4]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[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]]=>10
[4,7,8,6,5,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[4,8,7,6,5,1,2,3]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[2,5,4,7,3,6,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[2,4,6,3,7,5,1,8]=>[[1,2,3,5,8],[4,6],[7]]=>9
[4,2,7,3,6,5,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[4,2,6,3,1,5,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>14
[2,5,3,1,6,4,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>11
[2,5,3,7,6,4,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[2,6,5,3,7,4,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[4,2,7,6,3,5,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[2,7,5,3,6,4,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[2,6,3,7,5,4,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[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]]=>13
[2,3,1,8,6,5,4,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[2,5,3,1,8,6,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>11
[4,2,8,3,1,6,5,7]=>[[1,3,6,8],[2,4],[5,7]]=>16
[8,3,2,6,4,1,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[3,6,8,2,1,4,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>9
[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]]=>9
[1,2,8,3,6,4,7,5]=>[[1,2,3,5,7],[4,8],[6]]=>10
[1,2,7,6,3,4,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>7
[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]]=>6
[1,2,3,7,4,8,6,5]=>[[1,2,3,4,6],[5,7],[8]]=>7
[1,2,7,6,3,8,4,5]=>[[1,2,3,6,8],[4,7],[5]]=>8
[1,2,3,6,4,8,7,5]=>[[1,2,3,4,6],[5,7],[8]]=>7
[1,2,3,7,6,4,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>6
[2,6,3,1,8,5,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>11
[2,1,3,8,5,4,7,6]=>[[1,3,4,7],[2,5,8],[6]]=>13
[7,1,8,4,2,3,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>13
[2,1,8,4,3,5,7,6]=>[[1,3,6,7],[2,4,8],[5]]=>14
[4,2,6,3,1,8,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>15
[5,4,2,8,3,1,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[3,5,8,2,4,1,6,7]=>[[1,2,3,8],[4,5,7],[6]]=>8
[2,5,4,8,3,1,6,7]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[4,2,1,8,3,5,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>14
[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]]=>11
[1,2,7,3,6,4,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>10
[1,2,8,6,3,7,4,5]=>[[1,2,3,6,8],[4,7],[5]]=>8
[1,2,7,3,8,6,4,5]=>[[1,2,3,5,8],[4,6],[7]]=>9
[1,2,3,8,4,7,6,5]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[1,2,7,3,4,8,6,5]=>[[1,2,3,5,6],[4,7],[8]]=>8
[1,2,6,3,8,4,7,5]=>[[1,2,3,5,7],[4,6],[8]]=>10
[1,5,2,3,8,7,4,6]=>[[1,2,4,5,8],[3,6],[7]]=>10
[4,2,1,8,3,7,5,6]=>[[1,4,6,8],[2,5],[3,7]]=>15
[8,3,2,1,7,4,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[1,8,4,2,7,3,5,6]=>[[1,2,5,7,8],[3,6],[4]]=>10
[1,2,8,6,3,4,7,5]=>[[1,2,3,6,7],[4,8],[5]]=>7
[1,2,7,3,8,4,6,5]=>[[1,2,3,5,7],[4,6],[8]]=>10
[1,2,3,8,7,4,6,5]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[1,2,3,8,7,6,4,5]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[2,5,3,8,1,6,4,7]=>[[1,2,4,8],[3,6],[5,7]]=>15
[2,6,4,7,1,5,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>15
[2,6,5,7,1,4,3,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[3,8,5,7,1,2,6,4]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[3,8,5,7,2,6,4,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[3,4,8,6,2,5,7,1]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[3,4,8,6,1,2,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>9
[2,5,7,1,4,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>8
[2,4,8,1,5,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[2,4,3,8,1,6,5,7]=>[[1,2,4,8],[3,6],[5,7]]=>15
[2,8,1,7,5,6,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[2,3,8,1,6,5,7,4]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[2,4,8,1,3,5,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>7
[3,5,7,6,1,2,4,8]=>[[1,2,3,8],[4,6,7],[5]]=>9
[3,5,7,6,2,4,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[4,8,6,7,2,3,5,1]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[4,8,6,7,1,2,3,5]=>[[1,2,4,8],[3,6,7],[5]]=>14
[4,8,6,7,1,3,5,2]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[3,4,8,6,1,5,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[3,8,5,7,1,6,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[3,2,8,5,6,1,7,4]=>[[1,3,5,7],[2,4],[6,8]]=>18
[3,8,5,7,2,1,6,4]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[3,4,8,6,2,1,5,7]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[3,5,7,6,2,1,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[4,8,6,7,2,1,3,5]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[4,8,6,7,3,5,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[5,8,6,7,3,4,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[5,8,6,7,2,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[5,8,6,7,2,1,4,3]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[4,8,6,7,2,1,5,3]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[4,3,1,7,5,2,8,6]=>[[1,4,7],[2,5,8],[3,6]]=>14
[4,3,2,8,5,1,7,6]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[4,3,8,5,1,6,7,2]=>[[1,3,6,7],[2,4],[5,8]]=>15
[4,8,6,7,1,5,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[5,8,6,7,1,4,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[5,8,6,7,2,3,4,1]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[5,8,6,7,2,4,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[5,8,6,7,1,2,4,3]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[4,2,3,8,5,1,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>12
[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]]=>13
[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]]=>17
[4,8,6,7,1,2,5,3]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[4,8,6,7,2,5,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[4,3,8,5,2,6,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[4,3,8,5,1,2,6,7]=>[[1,3,7,8],[2,4],[5,6]]=>14
[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]]=>17
[3,8,4,7,1,5,2,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[3,5,2,8,4,6,1,7]=>[[1,2,4,8],[3,5,6],[7]]=>11
[3,5,1,7,4,6,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>11
[3,8,4,7,2,5,1,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[4,1,3,8,5,2,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>12
[4,1,2,6,7,5,3,8]=>[[1,3,4,5,8],[2,6],[7]]=>11
[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]]=>18
[4,8,6,7,3,1,2,5]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[3,1,5,7,6,2,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>14
[3,4,1,7,5,6,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[4,1,7,5,2,8,6,3]=>[[1,3,6],[2,4,7],[5,8]]=>16
[4,1,6,7,5,2,3,8]=>[[1,3,4,8],[2,5,7],[6]]=>14
[4,8,6,7,2,3,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[5,8,6,7,3,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[5,8,6,7,4,2,3,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[5,8,6,7,4,1,2,3]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[5,8,6,7,4,1,3,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[5,8,6,7,3,1,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[4,8,6,7,3,1,5,2]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[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]]=>16
[4,2,8,5,3,1,7,6]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[4,2,1,6,7,5,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>12
[4,8,6,7,3,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[5,8,6,7,4,2,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[5,8,6,7,4,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[7,3,5,8,1,4,2,6]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[3,8,7,6,1,4,2,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[5,1,8,3,6,7,2,4]=>[[1,3,5,6],[2,4],[7,8]]=>16
[1,4,7,8,5,6,2,3]=>[[1,2,3,4],[5,6],[7,8]]=>6
[3,4,7,1,5,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>8
[3,6,1,4,7,8,5,2]=>[[1,2,5,6],[3,4,7],[8]]=>9
[1,6,8,4,7,5,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[6,8,1,3,5,7,2,4]=>[[1,2,5,6],[3,4],[7,8]]=>10
[7,6,1,4,3,8,2,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[3,8,1,6,5,4,2,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[4,1,3,7,5,8,2,6]=>[[1,3,4,6],[2,5,8],[7]]=>15
[6,1,7,3,8,4,2,5]=>[[1,3,5,8],[2,4,6],[7]]=>16
[7,1,8,6,3,5,2,4]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[3,1,7,6,5,8,4,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[8,2,7,6,5,3,4,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>23
[8,4,2,6,7,5,3,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[4,8,1,6,7,5,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[7,4,1,6,8,2,5,3]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[1,3,8,6,2,7,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[6,1,3,2,7,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>15
[1,8,6,2,5,3,4,7]=>[[1,2,5,7,8],[3],[4],[6]]=>12
[4,7,2,6,8,1,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[8,7,3,6,4,5,2,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>23
[5,7,8,6,2,1,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[2,7,4,1,6,8,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>9
[3,7,2,4,5,1,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>10
[1,8,6,4,5,2,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[2,8,4,6,5,1,3,7]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[3,4,1,7,5,2,6,8]=>[[1,2,4,7,8],[3,5],[6]]=>11
[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]]=>11
[2,5,4,3,6,8,1,7]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[3,8,5,4,6,2,1,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>15
[4,8,2,1,3,7,5,6]=>[[1,2,6,8],[3,5],[4,7]]=>14
[6,4,1,2,7,5,8,3]=>[[1,4,5,7],[2,6],[3,8]]=>13
[4,1,8,3,6,7,5,2]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[8,3,7,4,5,2,6,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[4,3,7,8,5,1,6,2]=>[[1,3,4],[2,5,7],[6,8]]=>15
[5,4,8,2,7,6,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>22
[1,2,7,3,6,5,8,4]=>[[1,2,3,5,7],[4],[6],[8]]=>12
[2,8,7,6,3,4,1,5]=>[[1,2,6,8],[3],[4],[5],[7]]=>14
[5,8,2,6,3,4,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[4,1,7,5,8,6,2,3]=>[[1,3,5],[2,4,6],[7,8]]=>17
[5,1,7,8,4,3,6,2]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[8,2,7,5,4,3,6,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>23
[6,3,8,1,4,7,5,2]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[3,8,4,5,6,1,2,7]=>[[1,2,4,5,8],[3,7],[6]]=>12
[1,4,3,5,7,8,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>10
[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]]=>9
[1,5,2,7,4,3,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>12
[2,8,5,6,4,3,1,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[1,8,6,5,4,3,2,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>16
[6,1,5,2,8,4,7,3]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[4,6,1,8,5,7,2,3]=>[[1,2,4],[3,5,6],[7,8]]=>12
[4,7,1,2,8,5,6,3]=>[[1,2,5,7],[3,4,6],[8]]=>11
[1,4,7,2,8,5,6,3]=>[[1,2,3,5],[4,6,7],[8]]=>9
[1,7,3,5,8,6,2,4]=>[[1,2,4,5],[3,6],[7,8]]=>11
[7,3,5,8,6,1,2,4]=>[[1,3,4],[2,5,8],[6,7]]=>14
[3,6,8,1,5,7,2,4]=>[[1,2,3],[4,5,6],[7,8]]=>7
[3,4,6,5,8,1,7,2]=>[[1,2,3,5],[4,7],[6,8]]=>12
[6,8,1,5,7,2,3,4]=>[[1,2,5,8],[3,4],[6,7]]=>11
[7,1,2,5,8,6,3,4]=>[[1,3,4,5],[2,6],[7,8]]=>12
[1,7,2,5,8,6,3,4]=>[[1,2,4,5],[3,6],[7,8]]=>11
[1,7,6,8,2,3,5,4]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[7,6,8,1,2,3,5,4]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[2,7,1,5,8,6,3,4]=>[[1,2,5],[3,4,6],[7,8]]=>11
[2,4,7,1,8,5,6,3]=>[[1,2,3,5],[4,6,7],[8]]=>9
[4,7,5,8,3,1,6,2]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[4,7,2,1,8,5,6,3]=>[[1,2,5],[3,6,7],[4,8]]=>11
[7,6,8,2,1,3,5,4]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[1,2,7,6,8,3,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[3,7,6,8,2,1,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[7,4,2,1,6,8,5,3]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[6,7,4,1,8,5,3,2]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[6,7,4,3,1,8,5,2]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[2,7,4,1,6,8,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[2,3,7,6,8,1,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[7,4,2,6,8,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[7,3,2,5,8,6,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[3,1,7,6,8,2,5,4]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[3,7,6,8,1,2,5,4]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[1,3,7,6,8,2,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[1,7,4,2,6,8,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[7,4,1,2,6,8,5,3]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[7,1,4,2,8,5,6,3]=>[[1,3,5,7],[2,6],[4,8]]=>18
[7,1,8,2,5,4,6,3]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[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]]=>21
[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]]=>16
[1,7,2,6,8,5,4,3]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[1,7,6,8,3,2,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[7,6,8,3,1,2,5,4]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[7,1,5,8,6,3,2,4]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[7,2,5,8,6,3,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[3,6,7,1,8,5,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[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]]=>21
[2,7,6,8,3,1,5,4]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[2,7,1,6,8,5,4,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[6,7,3,1,8,5,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[6,7,1,8,5,4,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[7,2,1,6,8,5,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[7,6,8,3,2,1,5,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[4,7,8,5,6,1,3,2]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[4,6,5,8,7,1,3,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[5,6,4,8,1,2,7,3]=>[[1,2,4],[3,6,7],[5,8]]=>15
[8,1,5,6,7,2,4,3]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[6,4,5,1,8,2,7,3]=>[[1,3,5],[2,6,7],[4,8]]=>17
[5,4,6,7,1,2,8,3]=>[[1,3,4,7],[2,6,8],[5]]=>16
[4,3,6,7,2,1,5,8]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[5,3,6,7,1,4,2,8]=>[[1,3,4,8],[2,6],[5,7]]=>16
[8,1,4,6,7,3,2,5]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[8,1,3,6,7,4,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[7,2,1,6,8,4,5,3]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[5,2,6,7,1,4,8,3]=>[[1,3,4,7],[2,6],[5,8]]=>17
[4,2,6,7,3,1,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13
[6,2,4,1,5,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>16
[7,2,1,5,4,8,6,3]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[8,1,4,5,3,7,2,6]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[7,3,1,5,4,8,2,6]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[6,3,4,1,5,8,2,7]=>[[1,3,5,6],[2,7,8],[4]]=>15
[5,3,4,2,1,8,6,7]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[4,3,5,2,7,1,6,8]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[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]]=>16
[7,6,1,2,4,5,8,3]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[4,7,8,2,3,1,6,5]=>[[1,2,3],[4,5,7],[6,8]]=>9
[5,6,2,8,1,4,7,3]=>[[1,2,4],[3,6,7],[5,8]]=>15
[6,5,2,1,3,7,8,4]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[7,5,1,3,2,6,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[8,1,6,3,2,5,7,4]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[7,4,1,3,5,2,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[5,4,2,3,1,6,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[7,3,1,4,5,6,2,8]=>[[1,4,5,6,8],[2,7],[3]]=>10
[8,1,4,3,5,6,2,7]=>[[1,3,5,6,8],[2],[4],[7]]=>17
[6,2,3,1,5,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>14
[7,8,4,2,1,6,5,3]=>[[1,2],[3,6],[4,7],[5,8]]=>15
[7,8,4,2,1,5,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[6,2,3,4,8,7,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>12
[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]]=>14
[7,8,3,6,4,2,1,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[7,8,3,5,6,2,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[6,2,3,8,7,5,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[6,2,3,7,8,5,1,4]=>[[1,3,4,5],[2,6],[7,8]]=>12
[5,2,6,3,8,1,7,4]=>[[1,3,5],[2,4,7],[6,8]]=>19
[6,3,2,5,8,7,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[6,3,2,8,4,7,1,5]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[6,4,3,8,7,5,1,2]=>[[1,4],[2,5],[3,6],[7,8]]=>17
[6,4,3,7,8,5,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[6,2,4,1,7,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>16
[6,3,2,7,4,8,1,5]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[6,3,2,5,7,8,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[5,7,2,3,6,1,8,4]=>[[1,2,5,7],[3,4],[6,8]]=>12
[5,8,2,3,6,1,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>12
[4,7,5,8,3,2,1,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[4,5,6,8,3,2,1,7]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[4,6,8,5,3,2,1,7]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[5,6,1,4,2,3,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>7
[5,6,8,4,3,7,1,2]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[5,6,1,4,2,3,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>8
[5,2,8,3,4,1,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>18
[4,5,8,6,3,2,1,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[4,6,5,8,3,2,1,7]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[4,7,5,6,3,2,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[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]]=>19
[5,1,4,3,7,2,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[5,1,4,3,8,2,7,6]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[5,6,2,4,1,7,8,3]=>[[1,2,6,7],[3,4],[5,8]]=>9
[5,6,2,4,1,8,7,3]=>[[1,2,6],[3,4,7],[5,8]]=>10
[5,7,2,4,1,8,6,3]=>[[1,2,6],[3,4,7],[5,8]]=>10
[6,1,4,2,8,7,5,3]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[6,1,4,2,7,8,5,3]=>[[1,3,5,6],[2,7],[4,8]]=>16
[5,8,2,4,1,7,6,3]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[5,2,7,4,1,6,8,3]=>[[1,3,6,7],[2,4],[5,8]]=>15
[5,4,1,3,7,2,6,8]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[5,1,4,3,6,2,7,8]=>[[1,3,5,7,8],[2],[4],[6]]=>18
[5,8,6,4,3,7,1,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[5,8,1,4,2,3,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>9
[5,1,6,3,4,2,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>16
[4,8,6,5,3,2,1,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>16
[4,8,5,6,3,2,1,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[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]]=>20
[4,6,8,7,3,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[4,6,7,8,3,2,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[4,7,6,8,3,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[4,7,8,5,3,2,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[5,7,1,3,4,2,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>10
[5,1,8,4,2,3,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>13
[5,1,7,4,2,3,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[5,8,1,3,4,2,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>10
[4,8,7,5,3,2,1,6]=>[[1,2,8],[3],[4],[5],[6],[7]]=>16
[4,7,8,6,3,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[4,8,7,6,3,2,1,5]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[4,8,2,6,3,7,5,1]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[4,3,8,1,6,2,5,7]=>[[1,3,7,8],[2,5],[4,6]]=>18
[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]]=>18
[6,8,1,2,4,3,5,7]=>[[1,2,5,7,8],[3,4],[6]]=>10
[5,8,7,1,3,4,2,6]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[4,8,7,6,3,1,2,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[4,3,8,2,7,5,6,1]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[1,4,3,8,2,6,5,7]=>[[1,2,4,8],[3,6],[5,7]]=>15
[4,3,2,8,1,6,5,7]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[4,1,3,8,2,6,5,7]=>[[1,3,4,8],[2,6],[5,7]]=>16
[4,1,8,3,7,5,6,2]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[3,7,8,1,5,4,2,6]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[7,3,8,1,5,4,6,2]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[3,4,8,1,6,2,5,7]=>[[1,2,3,8],[4,5,7],[6]]=>8
[3,4,2,1,8,6,5,7]=>[[1,2,5,8],[3,6],[4,7]]=>11
[3,6,7,8,4,1,2,5]=>[[1,2,3,4],[5,7,8],[6]]=>7
[4,1,7,8,5,3,2,6]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[3,7,6,8,4,2,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[3,7,8,2,6,4,5,1]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[4,2,3,8,1,6,5,7]=>[[1,3,4,8],[2,6],[5,7]]=>16
[4,3,1,8,2,6,5,7]=>[[1,4,6,8],[2,5],[3,7]]=>15
[2,6,8,4,7,3,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[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]]=>19
[3,2,4,8,1,6,5,7]=>[[1,3,4,8],[2,6],[5,7]]=>16
[2,4,8,3,6,1,5,7]=>[[1,2,3,8],[4,5],[6,7]]=>7
[7,4,1,8,5,2,6,3]=>[[1,4,7],[2,5,8],[3,6]]=>14
[1,3,2,4,8,6,5,7]=>[[1,2,4,5,8],[3,6],[7]]=>10
[3,1,2,4,8,6,5,7]=>[[1,3,4,5,8],[2,6],[7]]=>11
[3,1,4,8,2,6,5,7]=>[[1,3,4,8],[2,5,6],[7]]=>12
[3,7,4,8,5,1,2,6]=>[[1,2,4,8],[3,5],[6,7]]=>12
[6,7,2,8,3,5,4,1]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[2,1,3,4,8,6,5,7]=>[[1,3,4,5,8],[2,6],[7]]=>11
[1,2,3,4,8,6,5,7]=>[[1,2,3,4,5,8],[6],[7]]=>4
[4,8,3,6,2,1,5,7]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[3,5,8,2,6,1,4,7]=>[[1,2,3,8],[4,5],[6,7]]=>7
[3,6,5,8,2,4,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[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]]=>14
[2,4,5,7,3,8,1,6]=>[[1,2,3,4,6],[5,8],[7]]=>8
[6,2,4,5,8,3,1,7]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[4,8,1,2,5,6,3,7]=>[[1,2,5,6,8],[3,4],[7]]=>9
[8,1,3,5,2,6,4,7]=>[[1,3,4,6,8],[2,7],[5]]=>14
[5,2,1,6,3,8,4,7]=>[[1,4,6,8],[2,5,7],[3]]=>14
[6,2,5,1,8,4,3,7]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[3,6,1,5,8,4,2,7]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[6,1,4,5,8,3,2,7]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[5,6,4,8,1,3,2,7]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[6,5,4,3,8,2,1,7]=>[[1,5],[2,8],[3],[4],[6],[7]]=>21
[5,4,3,7,2,8,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[5,8,4,3,7,2,6,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>19
[4,6,8,3,7,2,5,1]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[7,4,6,3,2,8,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[1,4,3,6,2,7,8,5]=>[[1,2,4,6,7],[3,8],[5]]=>12
[1,5,4,3,7,2,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[4,7,8,5,3,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[5,7,3,4,1,2,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>9
[8,5,4,7,6,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[8,5,7,4,3,6,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>23
[4,3,8,1,6,7,5,2]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[4,7,8,3,6,1,5,2]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[5,3,8,6,7,4,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[1,3,8,6,4,7,5,2]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[8,6,2,7,4,1,5,3]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[7,6,2,1,4,3,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[7,6,1,3,4,2,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[1,5,7,3,2,6,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>11
[1,6,7,3,2,5,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>11
[3,2,6,8,5,7,4,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[5,8,2,3,6,7,4,1]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[7,5,2,3,1,6,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[1,6,4,7,2,3,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>15
[3,1,7,5,2,8,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>15
[2,5,7,4,1,8,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>8
[4,2,6,1,7,8,3,5]=>[[1,3,5,6],[2,7,8],[4]]=>15
[4,2,7,6,3,8,1,5]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[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]]=>16
[3,2,7,4,1,6,8,5]=>[[1,3,6,7],[2,4],[5,8]]=>15
[6,3,2,1,7,8,4,5]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[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]]=>12
[8,1,3,7,4,2,6,5]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[8,4,3,7,6,2,1,5]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[8,3,5,2,7,6,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[3,6,2,8,7,1,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[7,3,2,8,1,6,5,4]=>[[1,4],[2,6],[3,7],[5,8]]=>20
[3,8,7,2,6,5,4,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>20
[4,2,7,8,6,1,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[6,8,2,4,7,1,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[5,2,1,8,7,3,6,4]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[8,2,1,6,3,7,5,4]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[6,8,3,1,7,5,2,4]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[5,8,1,6,7,2,4,3]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[6,2,8,1,5,7,4,3]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[5,7,8,2,6,1,4,3]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[8,7,2,5,6,4,3,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>20
[8,6,7,5,2,4,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>25
[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]]=>7
[7,4,8,1,6,2,5,3]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[3,7,1,8,2,6,5,4]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[2,1,7,3,8,6,5,4]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[8,2,1,7,6,5,4,3]=>[[1,4],[2,5],[3],[6],[7],[8]]=>21
[8,1,4,7,6,5,3,2]=>[[1,3,4],[2],[5],[6],[7],[8]]=>21
[8,6,7,5,1,4,3,2]=>[[1,3],[2,6],[4],[5],[7],[8]]=>25
[7,8,6,5,4,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>18
[5,8,4,3,2,1,6,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[6,4,7,3,2,1,8,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[5,4,7,3,2,1,6,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[6,5,3,7,2,1,4,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[5,8,3,6,2,1,4,7]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[6,3,7,8,2,1,4,5]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[5,3,7,6,2,1,4,8]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[3,8,7,6,2,1,4,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[5,8,4,2,6,1,3,7]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[4,8,7,2,5,1,3,6]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[5,8,3,2,6,1,4,7]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[4,8,3,2,5,1,7,6]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[4,3,7,2,5,1,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[3,8,7,2,5,1,4,6]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[6,4,2,7,5,1,3,8]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[6,3,2,7,5,1,4,8]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[5,3,2,6,7,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[3,8,2,6,5,1,4,7]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[6,2,7,8,5,1,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>14
[5,2,7,6,8,1,3,4]=>[[1,3,5],[2,4,8],[6,7]]=>18
[4,2,7,6,5,1,3,8]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[2,8,7,6,5,1,3,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[6,5,4,3,1,7,8,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[6,4,7,3,1,5,8,2]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[5,4,7,3,1,8,6,2]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[6,4,3,7,1,5,8,2]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[5,4,3,6,1,8,7,2]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[6,3,7,8,1,4,5,2]=>[[1,3,4],[2,6,7],[5,8]]=>16
[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]]=>16
[6,5,4,2,1,7,3,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[6,4,7,2,1,5,3,8]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[4,8,7,2,1,5,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[5,8,3,2,1,4,7,6]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[4,8,3,2,1,5,7,6]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[5,3,7,2,1,4,8,6]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[3,8,7,2,1,4,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[6,5,2,7,1,4,3,8]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[5,8,2,6,1,4,3,7]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[6,4,2,7,1,5,3,8]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[5,4,2,6,1,8,3,7]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[4,3,2,6,1,5,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[6,2,7,8,1,4,3,5]=>[[1,3,4],[2,6,8],[5,7]]=>17
[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]]=>14
[6,5,4,1,8,7,3,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>17
[5,8,4,1,6,7,3,2]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[6,4,7,1,5,8,3,2]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[5,4,7,1,6,8,3,2]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[4,8,7,1,5,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[5,4,3,1,6,8,7,2]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[4,8,3,1,5,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>13
[3,8,7,1,5,4,6,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[5,8,2,1,6,4,3,7]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[6,3,2,1,5,4,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[5,3,2,1,6,4,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[3,8,2,1,5,4,6,7]=>[[1,2,7,8],[3,5],[4,6]]=>12
[6,2,7,1,5,4,3,8]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[5,2,7,1,6,4,3,8]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[4,2,7,1,5,6,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>20
[3,2,7,1,5,4,6,8]=>[[1,3,7,8],[2,5],[4,6]]=>18
[2,8,7,1,5,4,3,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[6,5,1,7,8,4,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[5,8,1,6,7,4,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[6,4,1,7,5,8,3,2]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[5,4,1,6,7,8,3,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[4,8,1,6,5,7,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[6,3,1,7,5,4,8,2]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[5,3,1,6,7,4,8,2]=>[[1,4,5,7],[2,6],[3,8]]=>13
[4,3,1,6,5,7,8,2]=>[[1,4,6,7],[2,5],[3,8]]=>14
[3,8,1,6,5,4,7,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[5,2,1,6,7,4,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>12
[4,2,1,6,5,7,3,8]=>[[1,4,6,8],[2,5],[3,7]]=>15
[2,8,1,6,5,4,3,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[6,1,7,8,5,4,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[4,1,7,6,5,8,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[3,1,7,6,5,4,8,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[4,5,8,1,2,6,3,7]=>[[1,2,3,8],[4,5,6],[7]]=>6
[1,4,5,7,2,6,3,8]=>[[1,2,3,4,8],[5,6],[7]]=>5
[1,7,3,5,6,2,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>12
[8,1,3,5,7,2,4,6]=>[[1,3,4,5],[2,7,8],[6]]=>13
[3,6,8,1,7,2,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>8
[3,4,5,6,8,1,7,2]=>[[1,2,3,4,5],[6,7],[8]]=>4
[4,5,8,2,6,7,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>9
[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]]=>10
[8,1,2,3,5,4,6,7]=>[[1,3,4,5,7,8],[2],[6]]=>11
[2,7,8,1,3,5,4,6]=>[[1,2,3,8],[4,5,6],[7]]=>6
[2,7,8,3,5,6,1,4]=>[[1,2,3,6],[4,5],[7,8]]=>9
[2,4,5,7,8,1,6,3]=>[[1,2,3,4,5],[6,7],[8]]=>4
[4,5,8,1,7,6,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[4,5,8,7,2,1,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[8,7,3,5,6,2,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[8,7,2,1,3,5,4,6]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[3,6,8,7,2,1,5,4]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[8,6,4,1,7,5,3,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>17
[7,6,4,3,1,8,5,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[2,3,6,7,8,1,5,4]=>[[1,2,3,4,5],[6,7],[8]]=>4
[3,6,8,1,2,5,4,7]=>[[1,2,3,8],[4,5,6],[7]]=>6
[1,3,6,7,2,5,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>5
[7,4,1,8,5,2,3,6]=>[[1,4,7,8],[2,5],[3,6]]=>13
[7,1,4,2,8,3,6,5]=>[[1,3,5,7],[2,6],[4,8]]=>18
[7,1,8,2,5,3,6,4]=>[[1,3,5,7],[2,4],[6,8]]=>18
[8,1,7,5,4,2,3,6]=>[[1,3,7,8],[2],[4],[5],[6]]=>18
[1,7,2,6,5,4,3,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[1,7,6,3,2,5,4,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[8,6,3,1,2,5,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[8,1,7,6,3,2,4,5]=>[[1,3,7,8],[2],[4],[5],[6]]=>18
[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]]=>11
[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]]=>11
[2,7,8,1,6,5,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[7,3,1,8,6,5,4,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[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]]=>18
[2,1,8,6,3,7,4,5]=>[[1,3,6,8],[2,4,7],[5]]=>15
[8,6,1,5,2,7,4,3]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[8,5,1,7,4,2,6,3]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[2,1,7,5,4,3,8,6]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[2,1,7,8,3,6,5,4]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[2,1,4,8,5,7,3,6]=>[[1,3,4,6],[2,5,8],[7]]=>15
[8,5,3,1,6,2,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[6,4,1,5,2,3,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>13
[8,3,7,5,2,6,1,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[5,3,7,4,6,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>16
[5,8,3,7,6,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[4,2,6,3,8,5,1,7]=>[[1,3,5,8],[2,4,6],[7]]=>16
[5,8,2,1,7,6,4,3]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[8,3,2,4,1,7,5,6]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[7,2,8,1,4,6,5,3]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[6,8,1,4,5,3,2,7]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[8,2,6,1,4,7,3,5]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[8,3,5,6,1,7,4,2]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[6,3,5,4,1,2,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[8,7,3,6,5,1,4,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>23
[2,7,4,3,6,1,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[3,4,7,2,8,1,5,6]=>[[1,2,3,5],[4,7,8],[6]]=>11
[4,2,3,5,8,1,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>13
[3,8,4,7,1,6,5,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[3,2,4,6,1,5,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>16
[8,3,4,5,7,6,1,2]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[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]]=>9
[1,5,7,8,4,6,2,3]=>[[1,2,3,4],[5,6],[7,8]]=>6
[1,3,5,7,8,6,2,4]=>[[1,2,3,4,5],[6,8],[7]]=>5
[3,5,7,8,6,1,2,4]=>[[1,2,3,4],[5,7,8],[6]]=>7
[3,5,1,6,8,2,7,4]=>[[1,2,4,5],[3,6,7],[8]]=>10
[3,1,5,6,8,2,7,4]=>[[1,3,4,5],[2,6,7],[8]]=>11
[2,3,5,6,8,1,7,4]=>[[1,2,3,4,5],[6,7],[8]]=>4
[5,6,4,8,2,1,7,3]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[5,1,6,3,8,4,7,2]=>[[1,3,5,7],[2,4,6],[8]]=>17
[2,5,1,6,8,3,7,4]=>[[1,2,4,5],[3,6,7],[8]]=>10
[5,1,2,6,8,3,7,4]=>[[1,3,4,5],[2,6,7],[8]]=>11
[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]]=>11
[1,6,7,5,2,8,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>8
[6,1,7,5,2,8,3,4]=>[[1,3,6,8],[2,4,7],[5]]=>15
[2,6,7,5,1,8,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>8
[5,7,2,8,6,1,3,4]=>[[1,2,4],[3,5,8],[6,7]]=>13
[3,5,7,8,6,2,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[5,1,7,8,6,3,4,2]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[5,1,3,7,8,6,4,2]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[5,2,7,8,4,6,1,3]=>[[1,3,4],[2,5,6],[7,8]]=>13
[3,2,5,7,8,6,1,4]=>[[1,3,4,5],[2,6],[7,8]]=>12
[6,2,7,5,1,8,3,4]=>[[1,3,6],[2,4,8],[5,7]]=>17
[1,2,6,7,5,8,3,4]=>[[1,2,3,4,6],[5,8],[7]]=>8
[6,2,7,5,4,1,8,3]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[6,7,5,2,4,1,8,3]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[6,7,2,5,3,8,1,4]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[6,7,4,5,2,1,8,3]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[5,1,7,8,6,4,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[2,5,7,8,6,3,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[5,1,7,8,6,3,2,4]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[6,3,7,5,1,8,2,4]=>[[1,3,6],[2,4,8],[5,7]]=>17
[1,6,7,5,3,8,2,4]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[1,6,7,5,4,2,8,3]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[6,7,5,1,4,2,8,3]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[5,7,8,6,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[4,1,7,2,6,5,8,3]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[2,4,7,1,5,6,8,3]=>[[1,2,3,6,7],[4,5],[8]]=>7
[6,7,4,1,5,2,8,3]=>[[1,2,7],[3,5,8],[4,6]]=>13
[1,6,7,4,5,2,8,3]=>[[1,2,3,7],[4,5],[6,8]]=>8
[1,6,3,7,5,8,2,4]=>[[1,2,4,6],[3,5],[7,8]]=>14
[6,3,1,7,5,8,2,4]=>[[1,4,6],[2,5,8],[3,7]]=>16
[2,5,3,7,8,6,1,4]=>[[1,2,4,5],[3,6],[7,8]]=>11
[6,7,5,4,2,1,8,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[6,3,2,7,5,8,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[6,7,4,2,5,1,8,3]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[6,2,7,4,5,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>18
[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]]=>17
[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]]=>17
[7,3,5,1,8,2,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>16
[3,7,5,1,8,6,2,4]=>[[1,2,5],[3,6,8],[4,7]]=>12
[2,6,7,4,1,8,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>8
[2,1,6,7,3,8,5,4]=>[[1,3,4,6],[2,5,7],[8]]=>14
[3,6,5,1,8,4,7,2]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[3,6,5,1,8,4,2,7]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[3,7,5,4,8,1,6,2]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[4,6,1,5,8,7,3,2]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[7,5,1,6,2,8,4,3]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[2,3,4,7,8,1,6,5]=>[[1,2,3,4,5],[6,7],[8]]=>4
[6,8,5,4,3,2,7,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>18
[6,8,5,4,3,7,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>19
[5,8,4,3,2,1,7,6]=>[[1,2],[3,7],[4,8],[5],[6]]=>15
[6,5,4,3,1,8,7,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[8,7,5,4,3,1,6,2]=>[[1,7],[2,8],[3],[4],[5],[6]]=>18
[8,3,4,6,2,1,5,7]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[3,5,6,2,1,8,4,7]=>[[1,2,3,6],[4,7,8],[5]]=>8
[3,5,2,6,8,4,1,7]=>[[1,2,4,5],[3,6,8],[7]]=>11
[7,5,3,2,8,4,1,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[7,5,3,2,8,4,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[2,4,5,7,3,8,6,1]=>[[1,2,3,4,6],[5,7],[8]]=>7
[4,2,5,6,8,3,1,7]=>[[1,3,4,5],[2,6,8],[7]]=>12
[4,2,8,1,5,6,3,7]=>[[1,3,6,8],[2,5],[4,7]]=>20
[2,5,6,1,8,4,3,7]=>[[1,2,3,5],[4,6,8],[7]]=>10
[5,3,6,8,1,4,2,7]=>[[1,3,4],[2,6,8],[5,7]]=>17
[4,5,6,8,1,3,2,7]=>[[1,2,3,4],[5,6,8],[7]]=>6
[1,4,5,6,8,3,2,7]=>[[1,2,3,4,5],[6,8],[7]]=>5
[4,5,6,3,8,2,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[4,5,3,7,2,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[6,4,7,3,2,8,5,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[6,1,4,7,3,2,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[1,7,8,4,5,3,2,6]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[5,1,7,3,8,4,2,6]=>[[1,3,5,8],[2,4,6],[7]]=>16
[2,5,1,7,4,3,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>12
[2,5,7,4,1,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>9
[5,3,7,1,4,8,6,2]=>[[1,3,6],[2,5,7],[4,8]]=>20
[6,4,3,1,7,8,5,2]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[6,4,1,7,3,8,5,2]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[5,6,3,7,8,4,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[5,1,6,3,7,8,4,2]=>[[1,3,5,6],[2,4,7],[8]]=>15
[5,6,1,3,7,8,4,2]=>[[1,2,5,6],[3,4,7],[8]]=>9
[5,6,1,7,8,3,4,2]=>[[1,2,4,5],[3,6,7],[8]]=>10
[1,6,3,7,4,8,5,2]=>[[1,2,4,6],[3,5,7],[8]]=>13
[6,7,2,4,1,8,5,3]=>[[1,2,6],[3,4,7],[5,8]]=>10
[6,7,2,1,4,3,8,5]=>[[1,2,7],[3,5,8],[4,6]]=>13
[6,4,7,3,1,2,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[5,6,3,1,2,7,8,4]=>[[1,2,6,7],[3,5,8],[4]]=>12
[5,6,1,3,2,7,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>8
[5,6,3,2,1,7,8,4]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[2,5,6,3,7,8,4,1]=>[[1,2,3,5,6],[4,7],[8]]=>8
[2,5,6,3,1,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>7
[2,6,4,7,3,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[6,3,7,2,8,4,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[6,3,7,2,8,4,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[6,3,2,7,1,8,4,5]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[7,5,3,2,1,8,4,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[7,3,8,4,2,1,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[4,7,2,1,3,8,6,5]=>[[1,2,6],[3,5,7],[4,8]]=>14
[1,3,7,8,6,4,2,5]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[7,3,8,4,6,2,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[5,7,3,8,2,1,6,4]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[6,3,7,8,5,2,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[4,6,2,7,8,5,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[4,6,2,1,7,8,5,3]=>[[1,2,5,6],[3,7],[4,8]]=>10
[7,4,5,8,1,2,6,3]=>[[1,3,4],[2,6,7],[5,8]]=>16
[2,5,1,7,3,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>13
[6,7,2,1,3,8,5,4]=>[[1,2,6],[3,5,7],[4,8]]=>14
[5,1,6,7,8,2,4,3]=>[[1,3,4,5],[2,6,7],[8]]=>11
[6,3,7,1,8,5,2,4]=>[[1,3,5],[2,6,8],[4,7]]=>18
[6,2,1,7,3,8,5,4]=>[[1,4,6],[2,5,7],[3,8]]=>15
[6,2,7,1,8,5,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[6,3,1,7,8,5,4,2]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[4,1,3,6,8,2,5,7]=>[[1,3,4,5],[2,7,8],[6]]=>13
[4,2,3,6,8,1,5,7]=>[[1,3,4,5],[2,7,8],[6]]=>13
[5,3,2,1,8,4,7,6]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[3,6,5,8,2,1,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[4,5,2,1,3,8,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>14
[3,2,6,4,5,8,1,7]=>[[1,3,5,6],[2,4,8],[7]]=>16
[2,4,6,5,8,1,3,7]=>[[1,2,3,5],[4,7,8],[6]]=>11
[1,6,2,4,5,8,3,7]=>[[1,2,4,5,6],[3,8],[7]]=>10
[5,3,2,1,6,8,4,7]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[6,2,4,5,8,1,3,7]=>[[1,3,4,5],[2,7,8],[6]]=>13
[1,3,4,6,5,8,2,7]=>[[1,2,3,4,6],[5,8],[7]]=>8
[1,6,3,4,5,8,2,7]=>[[1,2,4,5,6],[3,8],[7]]=>10
[3,4,1,8,5,2,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>12
[2,8,4,1,7,6,3,5]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[8,1,4,2,7,3,6,5]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[1,5,3,2,8,7,4,6]=>[[1,2,5,8],[3,6],[4,7]]=>11
[8,2,1,7,5,3,4,6]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[1,7,6,4,5,8,3,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[5,8,7,4,1,2,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[5,8,7,4,6,2,1,3]=>[[1,2],[3,5],[4,8],[6],[7]]=>18
[3,4,2,5,8,6,7,1]=>[[1,2,4,5,7],[3,6],[8]]=>11
[4,1,3,5,6,8,7,2]=>[[1,3,4,5,6],[2,7],[8]]=>10
[2,4,8,6,7,1,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>11
[4,3,6,2,8,1,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[3,7,4,8,2,1,6,5]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[2,3,5,8,6,7,1,4]=>[[1,2,3,4,6],[5,8],[7]]=>8
[3,2,5,6,8,7,1,4]=>[[1,3,4,5],[2,6],[7,8]]=>12
[2,1,8,5,6,7,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>16
[1,2,8,3,5,6,7,4]=>[[1,2,3,5,6,7],[4],[8]]=>7
[4,2,3,7,1,8,6,5]=>[[1,3,4,6],[2,7],[5,8]]=>15
[3,2,6,4,8,1,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>19
[8,2,1,6,7,3,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>11
[2,7,8,5,4,1,3,6]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[1,7,5,3,8,4,2,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[4,7,5,3,1,2,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[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]]=>16
[3,5,2,7,4,1,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>12
[8,4,2,3,7,1,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[2,8,4,7,1,3,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>14
[8,2,4,6,7,1,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>13
[4,8,2,3,6,7,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>10
[3,5,2,7,6,1,8,4]=>[[1,2,4,7],[3,5],[6,8]]=>13
[1,6,3,2,5,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>10
[5,8,3,2,1,6,7,4]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[5,8,7,3,4,6,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[5,8,2,7,4,1,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[5,1,4,2,8,7,6,3]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[4,7,6,5,8,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[5,3,7,1,6,2,8,4]=>[[1,3,7],[2,5,8],[4,6]]=>19
[5,2,6,8,7,1,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>14
[6,3,2,1,8,5,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[2,7,5,4,1,8,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[4,2,5,6,8,7,1,3]=>[[1,3,4,5],[2,6],[7,8]]=>12
[1,8,4,2,5,6,7,3]=>[[1,2,5,6,7],[3,8],[4]]=>8
[3,8,4,1,5,6,7,2]=>[[1,2,5,6,7],[3,8],[4]]=>8
[4,2,8,5,6,7,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>16
[5,2,4,7,1,8,6,3]=>[[1,3,4,6],[2,7],[5,8]]=>15
[5,3,4,7,1,8,6,2]=>[[1,3,4,6],[2,7],[5,8]]=>15
[8,6,4,1,3,2,5,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[8,1,3,6,5,2,4,7]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[8,1,4,3,6,5,2,7]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[3,6,5,2,1,8,7,4]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[8,3,2,4,6,5,1,7]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[8,4,2,1,6,5,3,7]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[8,4,1,2,6,5,3,7]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[8,6,4,2,1,5,3,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[8,3,6,4,1,5,2,7]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[8,2,6,3,4,5,1,7]=>[[1,3,5,6,8],[2],[4],[7]]=>17
[1,3,4,8,5,7,2,6]=>[[1,2,3,4,6],[5,8],[7]]=>8
[5,8,4,7,6,2,3,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>15
[1,3,4,7,5,8,2,6]=>[[1,2,3,4,6],[5,8],[7]]=>8
[1,3,5,2,4,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>8
[2,6,5,1,3,8,7,4]=>[[1,2,6],[3,5,7],[4,8]]=>14
[4,7,1,6,5,8,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[5,4,8,7,6,3,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[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]]=>13
[4,1,3,5,8,6,7,2]=>[[1,3,4,5,7],[2,6],[8]]=>12
[6,5,3,8,4,7,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[5,4,2,1,6,8,7,3]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[6,8,4,3,2,7,1,5]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[3,4,7,8,2,1,6,5]=>[[1,2,3,4],[5,7],[6,8]]=>8
[5,1,3,2,8,6,7,4]=>[[1,3,5,7],[2,6],[4,8]]=>18
[5,3,1,2,8,6,7,4]=>[[1,4,5,7],[2,6],[3,8]]=>13
[5,2,3,1,6,8,7,4]=>[[1,3,5,6],[2,7],[4,8]]=>16
[5,3,2,1,8,6,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[5,2,1,3,6,8,7,4]=>[[1,4,5,6],[2,7],[3,8]]=>11
[2,4,7,3,8,1,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>12
[6,3,8,2,7,4,1,5]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[8,2,1,3,6,4,7,5]=>[[1,4,5,7],[2,6,8],[3]]=>12
[3,5,1,7,8,4,2,6]=>[[1,2,4,5],[3,6,8],[7]]=>11
[2,7,4,5,8,3,1,6]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[1,8,4,3,7,2,6,5]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[3,4,8,7,2,1,6,5]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[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]]=>19
[6,3,8,7,4,1,2,5]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[3,5,7,2,4,8,1,6]=>[[1,2,3,6],[4,5,8],[7]]=>9
[8,4,7,2,3,1,5,6]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[8,4,7,1,3,2,5,6]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[8,4,7,2,1,3,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[8,6,4,2,1,3,7,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[8,6,4,1,3,2,7,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[8,6,4,2,3,1,7,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[3,5,7,2,6,1,8,4]=>[[1,2,3,7],[4,5],[6,8]]=>8
[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]]=>16
[2,8,1,5,4,7,6,3]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[1,5,8,7,4,6,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[2,1,7,6,4,5,8,3]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[1,7,2,4,6,5,8,3]=>[[1,2,4,5,7],[3],[6],[8]]=>13
[3,5,1,7,6,8,2,4]=>[[1,2,4,6],[3,5,8],[7]]=>14
[5,8,2,6,1,3,7,4]=>[[1,2,7],[3,4,8],[5,6]]=>9
[6,3,5,8,7,2,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[2,5,7,8,4,1,6,3]=>[[1,2,3,4],[5,7],[6,8]]=>8
[4,2,8,1,5,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>19
[4,1,5,2,6,8,7,3]=>[[1,3,5,6],[2,4,7],[8]]=>15
[3,4,5,1,6,8,7,2]=>[[1,2,3,5,6],[4,7],[8]]=>8
[4,2,8,5,1,6,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>15
[4,1,8,5,2,6,7,3]=>[[1,3,6,7],[2,4,8],[5]]=>14
[2,7,1,8,5,4,6,3]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[5,8,6,2,1,3,7,4]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[8,2,4,1,5,6,7,3]=>[[1,3,5,6,7],[2,8],[4]]=>14
[4,6,3,5,8,1,7,2]=>[[1,2,5],[3,4,7],[6,8]]=>13
[1,7,8,3,5,4,6,2]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[3,4,5,1,8,6,7,2]=>[[1,2,3,5,7],[4,6],[8]]=>10
[3,8,1,4,5,6,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>8
[3,4,5,7,8,2,6,1]=>[[1,2,3,4,5],[6,7],[8]]=>4
[3,4,6,2,8,5,1,7]=>[[1,2,3,5],[4,6,8],[7]]=>10
[3,4,6,8,1,5,2,7]=>[[1,2,3,4],[5,6,8],[7]]=>6
[3,4,7,2,1,8,6,5]=>[[1,2,3,6],[4,7],[5,8]]=>9
[3,4,8,2,1,5,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>9
[3,5,2,7,8,4,6,1]=>[[1,2,4,5],[3,6,7],[8]]=>10
[3,5,6,2,8,4,1,7]=>[[1,2,3,5],[4,6,8],[7]]=>10
[3,5,6,8,4,1,2,7]=>[[1,2,3,4],[5,7,8],[6]]=>7
[3,5,7,2,4,8,6,1]=>[[1,2,3,6],[4,5,7],[8]]=>8
[3,5,7,2,8,4,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>9
[3,5,7,8,4,1,6,2]=>[[1,2,3,4],[5,7],[6,8]]=>8
[3,6,2,1,8,5,4,7]=>[[1,2,5],[3,6,8],[4,7]]=>12
[3,6,7,2,8,5,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[3,6,8,2,4,5,1,7]=>[[1,2,3,8],[4,5,6],[7]]=>6
[3,7,2,1,4,8,6,5]=>[[1,2,6],[3,5,7],[4,8]]=>14
[3,7,2,8,4,5,6,1]=>[[1,2,4,7],[3,5,6],[8]]=>12
[3,8,2,1,4,5,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>11
[4,1,5,6,7,8,3,2]=>[[1,3,4,5,6],[2,7],[8]]=>10
[4,1,5,7,3,8,6,2]=>[[1,3,4,6],[2,5,7],[8]]=>14
[4,1,6,3,7,8,5,2]=>[[1,3,5,6],[2,4,7],[8]]=>15
[4,1,6,3,8,5,2,7]=>[[1,3,5,8],[2,4,6],[7]]=>16
[4,1,6,7,3,8,5,2]=>[[1,3,4,6],[2,5,7],[8]]=>14
[4,1,6,8,3,5,2,7]=>[[1,3,4,8],[2,5,6],[7]]=>12
[4,1,7,3,2,8,6,5]=>[[1,3,6],[2,4,7],[5,8]]=>16
[4,1,8,3,2,5,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>13
[4,5,2,6,8,1,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>12
[4,5,7,3,8,1,6,2]=>[[1,2,3,5],[4,7],[6,8]]=>12
[4,5,8,3,2,1,6,7]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[4,6,2,7,8,5,1,3]=>[[1,2,4,5],[3,6],[7,8]]=>11
[4,6,7,3,2,8,5,1]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[4,7,2,8,3,5,6,1]=>[[1,2,4,7],[3,5,6],[8]]=>12
[4,7,8,3,2,5,6,1]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[4,8,2,3,1,5,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>7
[5,1,2,6,8,4,3,7]=>[[1,3,4,5],[2,6,8],[7]]=>12
[5,1,6,3,8,4,2,7]=>[[1,3,5,8],[2,4,6],[7]]=>16
[5,1,6,7,4,8,2,3]=>[[1,3,4,6],[2,5,8],[7]]=>15
[5,6,2,3,8,4,1,7]=>[[1,2,5,8],[3,4,6],[7]]=>10
[5,6,2,7,8,4,1,3]=>[[1,2,4,5],[3,6],[7,8]]=>11
[5,6,8,3,4,2,1,7]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[5,7,2,3,4,8,6,1]=>[[1,2,5,6],[3,4,7],[8]]=>9
[5,7,8,3,4,2,6,1]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[5,8,2,3,4,1,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>10
[6,1,2,3,7,8,5,4]=>[[1,3,4,5,6],[2,7],[8]]=>10
[6,1,2,3,8,5,4,7]=>[[1,3,4,5,8],[2,6],[7]]=>11
[6,1,2,7,8,5,4,3]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[6,1,7,3,8,5,4,2]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[6,1,7,8,4,5,3,2]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[6,1,8,3,4,5,2,7]=>[[1,3,5,6,8],[2,4],[7]]=>15
[6,7,2,3,8,5,4,1]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[6,7,2,8,4,5,3,1]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[7,1,2,3,4,8,6,5]=>[[1,3,4,5,6],[2,7],[8]]=>10
[7,1,2,8,4,5,6,3]=>[[1,3,4,6,7],[2,5],[8]]=>13
[7,1,8,3,4,5,6,2]=>[[1,3,5,6,7],[2,4],[8]]=>14
[6,4,1,8,2,3,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>14
[5,8,1,2,4,3,7,6]=>[[1,2,5,7],[3,4],[6,8]]=>12
[1,3,5,7,2,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>5
[3,5,8,6,1,2,4,7]=>[[1,2,3,8],[4,6,7],[5]]=>9
[3,1,6,8,2,4,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>13
[3,6,2,8,1,5,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>15
[2,6,1,3,8,4,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>11
[1,7,5,2,3,4,6,8]=>[[1,2,5,6,7,8],[3],[4]]=>7
[2,7,5,1,3,8,4,6]=>[[1,2,6,8],[3,5,7],[4]]=>13
[8,2,5,7,4,6,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[8,2,1,3,7,6,4,5]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[8,2,5,1,3,7,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>19
[8,2,7,5,3,1,6,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[8,2,6,5,4,7,1,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[7,6,5,2,4,8,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[7,8,2,5,3,1,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[7,1,8,6,3,2,4,5]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[6,8,1,5,3,2,4,7]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[1,6,7,5,3,2,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[6,5,1,2,4,8,3,7]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[7,8,1,6,4,2,3,5]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[8,4,1,2,5,6,3,7]=>[[1,4,5,6,8],[2,7],[3]]=>10
[1,7,3,6,5,2,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[8,1,3,7,2,6,4,5]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[7,3,2,6,5,1,8,4]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[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]]=>18
[8,2,3,6,5,1,7,4]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[4,8,6,5,7,3,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>19
[3,8,7,5,4,6,2,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>18
[4,8,5,6,7,3,2,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[2,8,7,6,4,3,5,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>17
[3,8,7,4,5,6,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[1,8,7,6,5,3,2,4]=>[[1,2,8],[3],[4],[5],[6],[7]]=>16
[2,8,7,6,3,4,5,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>13
[1,8,7,6,5,2,3,4]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[7,2,8,6,5,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[7,2,8,5,4,6,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[6,3,2,8,5,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[6,8,5,4,3,1,7,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>15
[5,8,6,4,1,3,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[3,6,1,8,5,2,7,4]=>[[1,2,4],[3,5,7],[6,8]]=>14
[3,4,1,2,8,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>11
[6,8,3,5,4,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[7,2,5,8,3,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[7,6,3,8,5,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[7,2,6,4,8,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[4,2,3,1,7,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>15
[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]]=>12
[1,6,3,2,5,8,4,7]=>[[1,2,5,6],[3,7,8],[4]]=>9
[8,3,2,1,5,4,7,6]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[6,3,7,1,5,8,4,2]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[2,5,1,8,4,3,7,6]=>[[1,2,4],[3,5,7],[6,8]]=>14
[6,2,5,4,8,1,3,7]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[4,3,1,6,5,8,2,7]=>[[1,4,6],[2,5,8],[3,7]]=>16
[1,3,5,4,6,8,2,7]=>[[1,2,3,5,6],[4,8],[7]]=>9
[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]]=>17
[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]]=>17
[7,3,8,4,5,2,1,6]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[7,2,5,1,8,4,3,6]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[1,7,3,2,5,4,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>11
[8,7,2,1,5,3,4,6]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[3,6,1,5,8,7,4,2]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[8,3,6,4,5,1,7,2]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[5,4,6,8,1,2,7,3]=>[[1,3,4],[2,6,7],[5,8]]=>16
[6,4,7,2,3,5,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[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]]=>9
[4,1,3,5,7,8,6,2]=>[[1,3,4,5,6],[2,7],[8]]=>10
[6,5,1,8,4,7,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[5,3,1,8,4,7,6,2]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[8,2,7,4,6,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[4,7,3,2,8,1,6,5]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[6,3,1,4,7,2,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>12
[8,7,3,6,1,5,2,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[7,4,3,6,8,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[2,4,7,3,8,5,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>9
[2,8,6,1,5,7,3,4]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[7,8,2,5,4,3,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[1,8,3,4,2,7,6,5]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[8,5,3,7,4,2,6,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[5,7,3,2,4,1,8,6]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[2,8,3,4,7,1,5,6]=>[[1,2,4,5,8],[3,7],[6]]=>12
[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]]=>10
[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]]=>16
[7,1,5,2,8,6,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[6,5,4,8,7,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[1,8,6,4,5,2,7,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[1,8,5,3,6,2,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[3,6,2,1,7,5,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>12
[2,5,4,1,8,7,6,3]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[4,7,2,6,5,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[6,8,1,4,2,7,3,5]=>[[1,2,6,8],[3,4],[5,7]]=>10
[6,3,4,7,1,8,2,5]=>[[1,3,4,6],[2,7,8],[5]]=>14
[3,4,7,8,2,5,6,1]=>[[1,2,3,4],[5,6,7],[8]]=>5
[1,8,2,4,5,6,7,3]=>[[1,2,4,5,6,7],[3],[8]]=>8
[5,2,4,1,6,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>16
[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]]=>15
[5,3,4,1,7,6,8,2]=>[[1,3,5,7],[2,6],[4,8]]=>18
[3,1,4,6,5,7,8,2]=>[[1,3,4,6,7],[2,5],[8]]=>13
[1,4,7,3,5,6,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>7
[1,3,2,7,5,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>13
[1,4,2,5,8,3,7,6]=>[[1,2,4,5],[3,6,7],[8]]=>10
[4,1,2,6,8,5,3,7]=>[[1,3,4,5],[2,6,8],[7]]=>12
[1,5,2,4,8,7,6,3]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[1,2,6,4,8,7,5,3]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[1,2,7,4,8,6,5,3]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[1,3,2,7,5,8,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>14
[1,3,2,8,5,7,4,6]=>[[1,2,4,6],[3,5,8],[7]]=>14
[1,5,2,4,8,7,3,6]=>[[1,2,4,5],[3,6],[7,8]]=>11
[1,2,6,4,8,7,3,5]=>[[1,2,3,5],[4,6],[7,8]]=>10
[1,2,7,8,5,6,3,4]=>[[1,2,3,4],[5,6],[7,8]]=>6
[1,3,8,2,6,7,4,5]=>[[1,2,3,6],[4,5,8],[7]]=>9
[1,6,7,8,2,5,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6
[1,5,7,8,2,3,6,4]=>[[1,2,3,4],[5,6,7],[8]]=>5
[1,5,2,7,8,4,6,3]=>[[1,2,4,5],[3,6,7],[8]]=>10
[1,3,6,2,4,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>8
[1,6,7,3,4,8,5,2]=>[[1,2,3,6],[4,5,7],[8]]=>8
[1,5,3,7,4,8,6,2]=>[[1,2,4,6],[3,5,7],[8]]=>13
[2,8,4,1,5,3,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>11
[1,3,8,4,2,7,6,5]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[1,2,7,4,8,3,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>12
[1,2,6,4,8,3,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>12
[1,5,2,4,8,3,7,6]=>[[1,2,4,5],[3,7],[6,8]]=>13
[1,8,3,5,2,7,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>13
[1,3,8,6,2,7,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>8
[1,2,6,8,5,3,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>8
[1,2,7,8,6,3,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[1,6,7,8,5,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>7
[1,5,7,8,6,2,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>7
[1,4,7,6,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>11
[2,3,8,7,4,1,6,5]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[1,2,6,8,7,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[1,2,7,8,6,5,3,4]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[5,2,6,7,3,4,8,1]=>[[1,3,4,7],[2,5,6],[8]]=>13
[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]]=>9
[5,6,2,1,4,8,7,3]=>[[1,2,6],[3,5,7],[4,8]]=>14
[2,6,1,4,5,8,7,3]=>[[1,2,5,6],[3,4,7],[8]]=>9
[5,4,2,7,6,3,8,1]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[2,3,7,6,4,5,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[2,6,1,7,5,8,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>14
[2,6,1,7,4,8,5,3]=>[[1,2,4,6],[3,5,7],[8]]=>13
[5,1,2,7,8,4,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>12
[2,6,1,7,4,8,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>14
[3,6,4,1,7,8,2,5]=>[[1,2,5,6],[3,7,8],[4]]=>9
[5,4,6,1,3,8,7,2]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[3,6,4,1,5,8,7,2]=>[[1,2,5,6],[3,7],[4,8]]=>10
[2,6,1,5,4,8,7,3]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[2,6,1,4,7,8,5,3]=>[[1,2,5,6],[3,4,7],[8]]=>9
[5,1,2,4,8,6,7,3]=>[[1,3,4,5,7],[2,6],[8]]=>12
[5,1,2,4,8,7,3,6]=>[[1,3,4,5],[2,6],[7,8]]=>12
[5,1,2,4,8,7,6,3]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[1,2,3,8,5,4,7,6]=>[[1,2,3,4,7],[5,8],[6]]=>6
[4,3,1,2,8,5,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>13
[2,1,5,3,8,6,4,7]=>[[1,3,5,8],[2,4,6],[7]]=>16
[1,2,3,8,5,6,4,7]=>[[1,2,3,4,6,8],[5],[7]]=>7
[1,2,3,8,6,4,5,7]=>[[1,2,3,4,7,8],[5],[6]]=>5
[1,2,3,8,6,5,4,7]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[1,2,3,8,5,4,6,7]=>[[1,2,3,4,7,8],[5],[6]]=>5
[2,6,1,5,4,8,3,7]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[5,1,2,4,8,6,3,7]=>[[1,3,4,5,8],[2,6],[7]]=>11
[5,1,2,4,8,3,7,6]=>[[1,3,4,5],[2,7],[6,8]]=>14
[5,6,3,1,4,8,2,7]=>[[1,2,6],[3,5,8],[4,7]]=>15
[2,5,4,3,1,8,6,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[5,4,6,3,1,8,7,2]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[3,6,4,5,1,8,7,2]=>[[1,2,4,6],[3,7],[5,8]]=>14
[3,6,5,4,1,8,7,2]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[5,2,6,1,7,8,4,3]=>[[1,3,5,6],[2,7],[4,8]]=>16
[5,1,6,2,8,7,3,4]=>[[1,3,5,8],[2,4,6],[7]]=>16
[2,1,3,7,8,6,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>12
[2,1,3,7,8,5,6,4]=>[[1,3,4,5],[2,6,7],[8]]=>11
[5,2,4,1,7,8,6,3]=>[[1,3,5,6],[2,7],[4,8]]=>16
[4,3,1,2,8,6,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>13
[5,1,4,2,8,6,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>18
[2,1,3,6,8,5,7,4]=>[[1,3,4,5],[2,6,7],[8]]=>11
[1,2,3,8,6,7,4,5]=>[[1,2,3,4,6],[5,8],[7]]=>8
[1,2,3,8,7,5,4,6]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[1,2,3,8,7,4,5,6]=>[[1,2,3,4,7,8],[5],[6]]=>5
[1,2,3,8,5,7,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>8
[2,1,3,6,8,7,4,5]=>[[1,3,4,5],[2,6,8],[7]]=>12
[5,4,1,2,8,7,6,3]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[3,1,6,2,8,7,5,4]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[1,8,3,4,2,5,6,7]=>[[1,2,4,6,7,8],[3],[5]]=>11
[1,8,4,3,2,5,6,7]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[8,4,7,6,5,3,2,1]=>[[1,3],[2],[4],[5],[6],[7],[8]]=>27
[8,4,7,5,6,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>25
[8,5,7,4,6,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>26
[8,7,6,3,5,4,2,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>25
[8,6,7,3,5,4,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>26
[8,5,7,3,6,4,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>26
[8,1,7,4,6,5,3,2]=>[[1,3,5],[2],[4],[6],[7],[8]]=>25
[8,1,7,3,6,5,4,2]=>[[1,3,5],[2],[4],[6],[7],[8]]=>25
[8,2,7,3,6,5,4,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>25
[8,3,7,2,6,5,4,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>26
[8,5,7,2,6,4,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>26
[8,6,7,2,5,4,3,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>26
[8,7,6,2,5,4,3,1]=>[[1,5],[2],[3],[4],[6],[7],[8]]=>25
[8,4,7,1,6,5,3,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>26
[8,3,7,1,6,5,4,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>26
[8,2,7,1,6,5,4,3]=>[[1,3],[2,5],[4],[6],[7],[8]]=>26
[8,1,7,2,6,5,4,3]=>[[1,3,5],[2],[4],[6],[7],[8]]=>25
[8,7,6,2,5,3,4,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>21
[8,1,7,6,5,3,4,2]=>[[1,3,7],[2],[4],[5],[6],[8]]=>23
[8,3,7,6,5,2,4,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>24
[8,4,7,6,5,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>24
[8,5,7,6,4,2,3,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>24
[8,6,7,5,4,1,3,2]=>[[1,3],[2,7],[4],[5],[6],[8]]=>24
[8,5,7,6,4,1,3,2]=>[[1,3],[2,7],[4],[5],[6],[8]]=>24
[8,3,7,6,5,1,4,2]=>[[1,3],[2,7],[4],[5],[6],[8]]=>24
[8,7,6,4,5,1,3,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[8,7,6,2,5,1,4,3]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[8,7,6,1,5,2,4,3]=>[[1,5,7],[2],[3],[4],[6],[8]]=>21
[6,8,1,3,2,5,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>10
[6,8,1,4,2,5,3,7]=>[[1,2,6,8],[3,4],[5,7]]=>10
[7,8,3,6,1,4,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[7,8,2,5,3,6,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[7,8,2,5,1,4,3,6]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[7,8,1,4,3,6,2,5]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[5,8,1,4,3,7,2,6]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[6,8,2,5,1,4,3,7]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[6,8,2,5,3,7,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[6,8,2,5,4,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[2,5,4,7,6,8,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>14
[2,5,3,7,6,8,1,4]=>[[1,2,4,6],[3,5],[7,8]]=>14
[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]]=>17
[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]]=>14
[2,6,4,7,5,8,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>14
[5,8,3,6,4,7,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[5,8,2,6,4,7,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[4,8,2,6,3,7,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[4,8,1,5,3,7,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[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]]=>10
[6,8,3,7,1,4,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[5,8,1,3,2,6,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>10
[5,8,4,7,1,3,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[6,8,4,7,1,3,2,5]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[6,8,5,7,1,3,2,4]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[5,7,6,8,2,4,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[4,7,6,8,1,3,2,5]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[4,7,5,8,1,3,2,6]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[4,7,1,3,2,6,5,8]=>[[1,2,6,8],[3,4],[5,7]]=>10
[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]]=>17
[3,7,6,8,1,4,2,5]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[3,7,6,8,2,5,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[4,7,6,8,2,5,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[4,7,5,8,3,6,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[4,7,5,8,2,6,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[3,7,5,8,2,6,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[3,7,4,8,2,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[3,7,4,8,1,5,2,6]=>[[1,2,4,8],[3,6],[5,7]]=>15
[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]]=>10
[3,7,2,6,5,8,1,4]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[4,7,3,6,5,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[3,6,5,8,4,7,1,2]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[2,6,5,8,4,7,1,3]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[2,6,5,8,3,7,1,4]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[2,6,3,7,1,5,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>15
[7,6,4,2,8,5,3,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>17
[7,6,4,3,8,2,5,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[7,6,4,8,5,2,3,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[6,8,4,3,7,2,1,5]=>[[1,2],[3,5],[4,8],[6],[7]]=>18
[6,7,4,3,5,1,8,2]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[6,7,3,5,4,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[6,8,3,7,5,2,4,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>15
[7,6,8,3,5,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[7,6,3,5,8,2,4,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[7,6,3,5,2,4,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[7,6,4,2,5,1,8,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[7,6,2,8,4,1,5,3]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[7,6,3,8,2,4,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[7,6,3,4,8,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[6,8,3,7,4,5,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[6,7,3,5,8,4,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[5,7,8,3,6,2,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[5,8,3,6,7,2,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[6,3,4,8,7,2,5,1]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[6,3,8,4,7,2,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[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]]=>16
[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]]=>16
[5,7,3,6,8,2,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[5,6,8,3,7,2,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[5,6,7,3,4,1,8,2]=>[[1,2,3,7],[4,5],[6,8]]=>8
[4,6,7,8,3,5,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[4,6,8,3,5,7,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[4,7,3,5,6,8,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[4,7,3,5,8,2,6,1]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[5,3,4,7,8,2,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[5,3,8,2,4,1,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[5,3,4,8,2,6,1,7]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[4,8,3,6,2,5,7,1]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[4,8,3,5,7,2,6,1]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[4,8,3,5,6,7,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[4,7,8,3,5,6,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[4,7,8,3,6,2,5,1]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[4,8,3,6,7,2,5,1]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[4,8,3,7,2,5,6,1]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[5,3,4,8,2,7,6,1]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[5,3,8,2,4,1,7,6]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[5,2,8,4,1,7,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>17
[6,4,2,5,1,8,7,3]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[6,4,3,5,8,2,1,7]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[6,3,5,8,7,2,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[5,8,3,7,2,6,4,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>13
[5,7,3,4,8,2,1,6]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[5,8,4,2,3,1,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[5,8,4,2,3,1,7,6]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[6,4,5,3,8,2,1,7]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[6,4,8,5,3,7,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[6,4,3,8,5,7,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[6,4,2,8,5,3,1,7]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[6,4,2,7,3,1,8,5]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[6,4,3,7,8,5,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[6,4,5,3,7,1,8,2]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[5,7,4,2,3,1,6,8]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[5,6,3,7,1,8,2,4]=>[[1,2,4,6],[3,7,8],[5]]=>13
[5,6,3,4,7,1,8,2]=>[[1,2,5,7],[3,4],[6,8]]=>12
[5,6,3,4,8,2,1,7]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[6,3,5,7,4,8,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[6,3,5,4,7,8,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>20
[6,4,3,5,7,1,8,2]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[6,4,2,5,1,7,3,8]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[5,3,7,2,4,1,6,8]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[5,3,4,7,2,6,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[4,7,3,6,2,5,8,1]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[4,7,3,6,8,2,5,1]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[4,6,7,3,5,8,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[4,5,7,8,3,6,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[4,5,8,3,6,7,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[4,5,8,3,7,2,6,1]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[5,3,4,6,8,2,1,7]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[5,3,6,8,2,1,4,7]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[5,3,6,7,1,8,2,4]=>[[1,3,4,6],[2,7,8],[5]]=>14
[5,3,4,6,7,1,8,2]=>[[1,3,4,5,7],[2,8],[6]]=>12
[4,6,3,5,7,8,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[4,5,7,3,6,8,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[4,5,6,8,3,7,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[5,7,4,8,6,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[3,2,6,5,1,8,7,4]=>[[1,3,6],[2,4,7],[5,8]]=>16
[3,5,6,7,2,8,4,1]=>[[1,2,3,4,6],[5,7],[8]]=>7
[1,6,2,5,3,4,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>12
[1,3,8,2,4,6,5,7]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,7,2,3,6,4,8,5]=>[[1,2,4,5,7],[3,8],[6]]=>11
[1,6,8,2,5,3,7,4]=>[[1,2,3,7],[4,5],[6,8]]=>8
[1,8,2,5,3,4,7,6]=>[[1,2,4,6,7],[3,8],[5]]=>12
[1,8,2,3,6,4,7,5]=>[[1,2,4,5,7],[3,8],[6]]=>11
[1,3,5,2,8,4,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>9
[1,2,7,3,5,4,6,8]=>[[1,2,3,5,7,8],[4],[6]]=>9
[1,8,2,7,3,4,6,5]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[1,5,8,2,3,7,4,6]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,6,8,2,3,5,4,7]=>[[1,2,3,6,8],[4,5],[7]]=>8
[5,3,6,1,2,4,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>18
[7,1,5,8,4,2,3,6]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[8,1,5,7,4,2,3,6]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[7,1,4,5,8,2,3,6]=>[[1,3,4,5],[2,7,8],[6]]=>13
[7,4,1,6,2,8,3,5]=>[[1,4,6,8],[2,5,7],[3]]=>14
[8,4,1,7,2,6,3,5]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[8,1,4,7,5,2,3,6]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[8,1,5,4,7,2,3,6]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[2,1,7,5,8,3,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>18
[7,1,5,4,8,2,3,6]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[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]]=>13
[7,8,3,1,2,4,6,5]=>[[1,2,6,7],[3,5],[4,8]]=>13
[8,7,1,6,4,2,3,5]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[8,6,1,7,4,2,3,5]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[7,6,1,8,4,2,3,5]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[7,3,8,1,2,4,6,5]=>[[1,3,6,7],[2,5],[4,8]]=>19
[8,3,7,1,2,4,6,5]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[8,3,6,1,2,4,7,5]=>[[1,3,6,7],[2,5,8],[4]]=>18
[8,3,7,5,1,2,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[7,3,6,1,2,4,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>18
[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]]=>9
[7,1,8,5,4,2,3,6]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[7,1,8,4,5,2,3,6]=>[[1,3,5,8],[2,4],[6,7]]=>17
[2,1,7,8,5,3,4,6]=>[[1,3,4,8],[2,5,7],[6]]=>14
[7,6,3,1,2,4,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[6,1,2,3,8,7,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[6,8,1,4,2,3,7,5]=>[[1,2,6,7],[3,4],[5,8]]=>9
[6,8,3,1,2,7,4,5]=>[[1,2,6,8],[3,5],[4,7]]=>14
[6,7,3,1,2,8,4,5]=>[[1,2,6,8],[3,5,7],[4]]=>13
[6,7,1,4,2,3,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>8
[4,3,6,8,5,7,1,2]=>[[1,3,4],[2,5,6],[7,8]]=>13
[6,1,2,5,4,8,3,7]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[7,2,1,5,8,3,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>11
[1,3,6,8,7,4,2,5]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[1,2,8,5,7,3,4,6]=>[[1,2,3,5,8],[4,7],[6]]=>11
[2,6,1,5,8,3,4,7]=>[[1,2,5,8],[3,4,7],[6]]=>12
[5,7,1,6,8,4,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[4,8,1,2,5,7,3,6]=>[[1,2,5,6],[3,4,8],[7]]=>10
[8,4,6,2,5,7,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[8,3,6,4,7,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[3,8,1,4,7,2,5,6]=>[[1,2,5,8],[3,4,7],[6]]=>12
[1,7,8,4,6,2,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[3,7,4,8,5,1,6,2]=>[[1,2,4,7],[3,5],[6,8]]=>13
[3,7,1,6,5,4,8,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[2,7,3,1,5,8,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>9
[2,7,4,6,8,1,3,5]=>[[1,2,4,5],[3,7,8],[6]]=>12
[2,7,5,8,6,4,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[8,2,6,7,5,4,3,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>21
[3,8,7,1,6,4,5,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[3,6,8,2,7,4,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[1,5,2,8,7,4,6,3]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[3,4,2,7,8,1,6,5]=>[[1,2,4,5],[3,7],[6,8]]=>13
[4,1,3,7,5,6,8,2]=>[[1,3,4,6,7],[2,5],[8]]=>13
[6,3,8,1,7,4,2,5]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[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]]=>16
[3,6,1,4,5,8,2,7]=>[[1,2,5,6],[3,4,8],[7]]=>10
[1,6,7,4,5,3,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[6,1,7,3,5,4,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[6,3,1,2,5,8,4,7]=>[[1,4,5,6],[2,7,8],[3]]=>10
[1,4,7,2,8,5,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>10
[5,6,8,7,2,4,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[6,8,5,7,1,2,4,3]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[2,8,4,1,7,5,6,3]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[8,2,4,3,7,5,6,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[6,8,2,1,5,7,3,4]=>[[1,2,6],[3,5,8],[4,7]]=>15
[7,2,8,4,1,6,3,5]=>[[1,3,6],[2,4,8],[5,7]]=>17
[1,2,4,8,6,5,3,7]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[7,1,5,6,8,4,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[2,7,8,1,4,6,3,5]=>[[1,2,3],[4,5,6],[7,8]]=>7
[4,8,2,5,7,1,6,3]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[4,1,6,8,5,3,7,2]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[5,2,6,4,8,3,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[6,7,1,3,4,5,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>8
[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]]=>8
[7,1,6,5,3,4,8,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>19
[6,3,4,2,8,7,5,1]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[4,3,8,7,5,2,6,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[6,8,7,4,2,3,5,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[3,6,4,5,2,8,7,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[8,6,1,3,5,4,2,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[5,3,8,6,1,2,4,7]=>[[1,3,7,8],[2,4],[5,6]]=>14
[2,5,6,3,4,8,7,1]=>[[1,2,3,6],[4,5,7],[8]]=>8
[2,5,3,6,8,7,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[4,8,7,3,5,2,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[3,8,7,2,6,4,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[6,3,5,4,8,7,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[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]]=>17
[7,5,2,6,8,1,4,3]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[8,5,2,7,1,4,3,6]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[1,8,5,3,6,2,4,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[5,1,7,2,4,3,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>17
[1,5,3,4,8,6,2,7]=>[[1,2,4,5,8],[3,6],[7]]=>10
[5,4,1,3,8,6,2,7]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[5,1,8,6,3,4,2,7]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[4,5,2,8,3,7,6,1]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[8,2,3,7,6,4,5,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>18
[5,8,2,4,7,6,3,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[6,8,2,5,3,4,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[7,2,5,6,4,8,1,3]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[1,6,7,4,8,2,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>11
[7,1,3,5,8,2,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>14
[8,2,1,3,5,6,7,4]=>[[1,4,5,6,7],[2,8],[3]]=>9
[6,3,1,4,7,5,8,2]=>[[1,4,5,7],[2,6],[3,8]]=>13
[4,1,3,8,2,6,7,5]=>[[1,3,4,7],[2,6],[5,8]]=>17
[2,8,3,6,7,5,4,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[3,1,7,2,8,5,4,6]=>[[1,3,5,8],[2,4,6],[7]]=>16
[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]]=>7
[7,1,3,6,2,8,4,5]=>[[1,3,4,6],[2,7,8],[5]]=>14
[6,2,7,4,5,8,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>16
[2,1,8,4,5,7,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>16
[1,8,5,7,3,2,4,6]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[2,1,8,5,4,3,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[2,7,4,1,5,3,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>11
[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]]=>14
[7,1,3,2,8,5,4,6]=>[[1,3,5,8],[2,6],[4,7]]=>17
[2,8,5,4,1,3,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[5,1,7,4,2,3,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>14
[3,8,6,5,1,4,2,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[1,3,4,8,6,5,2,7]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[4,1,8,6,5,3,2,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[4,8,5,2,7,3,6,1]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[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]]=>22
[7,5,2,8,4,6,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[5,7,4,3,6,2,8,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[6,7,5,1,2,8,3,4]=>[[1,2,6,8],[3,5,7],[4]]=>13
[5,2,6,8,3,4,7,1]=>[[1,3,4,7],[2,5,6],[8]]=>13
[7,6,2,4,5,8,3,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>15
[3,6,8,4,7,2,5,1]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[7,6,3,8,4,2,5,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[2,6,3,8,4,7,5,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[7,2,3,6,5,8,4,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[6,2,7,5,8,3,1,4]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[2,8,3,6,4,5,7,1]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[2,1,5,6,8,3,7,4]=>[[1,3,4,5],[2,6,7],[8]]=>11
[5,8,1,2,6,4,7,3]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[1,6,8,3,2,7,4,5]=>[[1,2,3,8],[4,6],[5,7]]=>10
[6,5,7,2,8,4,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[7,5,1,2,8,4,6,3]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[5,4,8,3,6,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[5,8,2,7,4,3,6,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[6,4,5,8,2,7,3,1]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[5,7,3,6,4,8,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[1,5,6,4,8,2,7,3]=>[[1,2,3,5],[4,7],[6,8]]=>12
[3,1,5,6,4,8,7,2]=>[[1,3,4,6],[2,5,7],[8]]=>14
[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]]=>8
[1,2,6,4,3,8,5,7]=>[[1,2,3,6,8],[4,7],[5]]=>8
[1,2,6,3,5,8,7,4]=>[[1,2,3,5,6],[4,7],[8]]=>8
[2,3,5,1,8,4,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>9
[2,3,6,1,8,5,4,7]=>[[1,2,3,5],[4,6,8],[7]]=>10
[3,1,7,5,4,8,6,2]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[1,2,7,6,4,8,5,3]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[1,2,7,3,6,8,5,4]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[2,3,6,1,8,5,7,4]=>[[1,2,3,5],[4,6,7],[8]]=>9
[1,2,5,8,4,7,3,6]=>[[1,2,3,4],[5,6],[7,8]]=>6
[1,3,6,8,5,2,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>8
[1,2,6,8,5,4,3,7]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[1,3,5,8,2,4,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>5
[1,4,6,8,3,2,5,7]=>[[1,2,3,4],[5,7,8],[6]]=>7
[1,3,7,5,6,8,2,4]=>[[1,2,3,5,6],[4,8],[7]]=>9
[1,2,6,7,3,8,5,4]=>[[1,2,3,4,6],[5,7],[8]]=>7
[1,2,5,7,3,8,6,4]=>[[1,2,3,4,6],[5,7],[8]]=>7
[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]]=>14
[2,3,6,5,8,7,1,4]=>[[1,2,3,5],[4,6],[7,8]]=>10
[1,2,7,5,6,8,4,3]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[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]]=>15
[3,5,7,4,8,2,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[2,4,7,6,8,3,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[1,4,6,8,3,5,7,2]=>[[1,2,3,4],[5,6,7],[8]]=>5
[1,3,5,8,2,7,4,6]=>[[1,2,3,4],[5,6,8],[7]]=>6
[1,2,5,8,4,7,6,3]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[1,2,5,8,7,4,3,6]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[1,3,5,8,7,2,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>7
[5,7,1,2,8,6,4,3]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[6,4,5,7,2,8,1,3]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[5,3,4,7,2,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[3,2,7,4,6,8,1,5]=>[[1,3,5,6],[2,4],[7,8]]=>16
[5,3,6,2,7,1,4,8]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[2,6,3,4,7,1,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>12
[2,7,3,4,5,8,1,6]=>[[1,2,4,5,6],[3,8],[7]]=>10
[3,7,4,5,6,8,1,2]=>[[1,2,4,5,6],[3,8],[7]]=>10
[2,5,7,3,6,8,1,4]=>[[1,2,3,6],[4,5],[7,8]]=>9
[4,7,6,2,3,8,1,5]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[7,3,5,2,4,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[7,6,2,4,5,8,1,3]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[6,5,2,3,4,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[5,3,1,2,8,4,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>13
[6,5,2,3,7,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[5,2,1,7,3,4,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[5,2,1,8,3,4,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>12
[6,3,2,8,4,5,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[7,3,1,2,8,4,6,5]=>[[1,4,5,7],[2,6],[3,8]]=>13
[6,4,1,3,8,5,7,2]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[6,2,3,1,8,4,7,5]=>[[1,3,5,7],[2,6],[4,8]]=>18
[8,3,5,2,7,1,4,6]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[8,6,2,4,7,1,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[8,5,2,3,6,1,4,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[8,2,1,7,3,4,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>12
[8,6,3,7,2,4,5,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[7,1,6,2,3,4,5,8]=>[[1,3,5,6,7,8],[2],[4]]=>13
[8,2,7,3,4,5,6,1]=>[[1,3,5,6,7],[2],[4],[8]]=>16
[8,1,6,2,3,4,5,7]=>[[1,3,5,6,7,8],[2],[4]]=>13
[8,1,7,3,4,5,6,2]=>[[1,3,5,6,7],[2],[4],[8]]=>16
[8,6,1,7,2,4,5,3]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[8,1,5,7,2,3,6,4]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[1,7,5,8,2,3,6,4]=>[[1,2,4,7],[3,6],[5,8]]=>16
[7,2,1,8,3,4,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>12
[7,3,8,2,4,5,6,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[7,2,8,3,4,5,6,1]=>[[1,3,5,6,7],[2,4],[8]]=>14
[1,7,8,3,4,5,6,2]=>[[1,2,3,6,7],[4,5],[8]]=>7
[1,4,5,8,3,6,7,2]=>[[1,2,3,4,7],[5,6],[8]]=>6
[2,5,7,1,8,3,6,4]=>[[1,2,3,5],[4,6,7],[8]]=>9
[6,2,7,1,8,4,5,3]=>[[1,3,5],[2,6,7],[4,8]]=>17
[4,7,1,3,8,5,6,2]=>[[1,2,5,7],[3,4,6],[8]]=>11
[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]]=>14
[5,3,4,6,8,2,7,1]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[4,6,3,8,7,1,2,5]=>[[1,2,4],[3,5,8],[6,7]]=>13
[6,4,5,8,7,1,2,3]=>[[1,3,4],[2,5,8],[6,7]]=>14
[5,3,4,8,7,1,2,6]=>[[1,3,4],[2,5,8],[6,7]]=>14
[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]]=>16
[5,3,7,6,1,2,4,8]=>[[1,3,7,8],[2,4],[5,6]]=>14
[1,8,3,7,2,4,5,6]=>[[1,2,4,7,8],[3,6],[5]]=>14
[3,8,1,7,2,4,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>7
[6,8,2,3,5,1,4,7]=>[[1,2,5,8],[3,4],[6,7]]=>11
[4,7,8,2,6,1,3,5]=>[[1,2,3],[4,5,8],[6,7]]=>8
[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]]=>11
[2,7,6,1,3,4,5,8]=>[[1,2,6,7,8],[3,5],[4]]=>11
[1,7,6,2,3,4,5,8]=>[[1,2,5,6,7,8],[3],[4]]=>7
[1,8,6,2,3,4,5,7]=>[[1,2,5,6,7,8],[3],[4]]=>7
[2,8,7,3,4,5,6,1]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[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]]=>11
[1,5,8,7,2,3,6,4]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[8,7,6,1,3,4,5,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[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]]=>7
[2,1,6,4,8,5,3,7]=>[[1,3,5,8],[2,4,6],[7]]=>16
[4,1,8,5,3,2,7,6]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[3,6,2,5,7,1,4,8]=>[[1,2,5,8],[3,4],[6,7]]=>11
[1,2,8,3,7,5,4,6]=>[[1,2,3,5,8],[4],[6],[7]]=>11
[6,1,3,2,8,5,4,7]=>[[1,3,5,8],[2,6],[4,7]]=>17
[5,6,1,2,8,4,3,7]=>[[1,2,5,8],[3,4,6],[7]]=>10
[1,6,3,8,7,4,2,5]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[4,3,8,1,2,6,7,5]=>[[1,3,6,7],[2,5],[4,8]]=>19
[3,6,8,7,1,2,5,4]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[6,5,7,2,4,8,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[3,4,1,6,5,8,7,2]=>[[1,2,4,6],[3,5,7],[8]]=>13
[3,5,1,2,4,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>9
[3,7,5,2,1,4,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[3,8,5,2,7,4,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[5,2,8,4,7,3,1,6]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[5,2,7,4,1,3,6,8]=>[[1,3,7,8],[2,4],[5,6]]=>14
[4,3,5,1,2,8,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>20
[3,1,4,6,2,8,7,5]=>[[1,3,4,6],[2,5,7],[8]]=>14
[1,4,6,5,2,8,7,3]=>[[1,2,3,6],[4,7],[5,8]]=>9
[3,4,5,6,1,8,7,2]=>[[1,2,3,4,6],[5,7],[8]]=>7
[3,4,5,8,7,2,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[1,4,7,2,6,3,5,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[8,4,7,5,2,1,6,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[8,1,4,7,2,3,6,5]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[1,8,5,7,3,4,6,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[6,3,5,1,7,4,2,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[6,1,4,8,7,3,2,5]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[6,4,8,5,7,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>18
[5,4,8,1,6,3,2,7]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[1,4,8,6,3,7,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[5,4,7,6,3,8,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[4,6,3,7,5,8,1,2]=>[[1,2,4,6],[3,5],[7,8]]=>14
[4,1,3,5,8,6,2,7]=>[[1,3,4,5,8],[2,6],[7]]=>11
[5,7,4,3,8,1,2,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[1,4,8,3,7,6,5,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[4,3,8,2,1,6,5,7]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[3,8,4,2,7,1,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[3,1,2,5,7,6,4,8]=>[[1,3,4,5,8],[2,6],[7]]=>11
[1,8,2,7,6,5,4,3]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[3,8,1,6,7,5,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[3,7,2,6,8,5,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[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]]=>19
[8,1,3,6,5,7,4,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[8,2,4,3,6,1,5,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[1,7,8,5,4,3,6,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[1,8,4,5,3,2,6,7]=>[[1,2,4,7,8],[3],[5],[6]]=>13
[7,8,5,4,3,1,6,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>15
[7,1,6,3,4,2,5,8]=>[[1,3,5,7,8],[2],[4],[6]]=>18
[6,8,7,1,4,2,5,3]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[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]]=>15
[3,6,5,1,2,8,4,7]=>[[1,2,6,8],[3,5,7],[4]]=>13
[3,8,5,6,7,2,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[8,1,7,6,2,4,3,5]=>[[1,3,6,8],[2],[4],[5],[7]]=>20
[8,5,6,1,4,2,3,7]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[8,6,5,4,7,1,3,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[1,6,4,5,7,2,3,8]=>[[1,2,4,5,8],[3,7],[6]]=>12
[8,3,6,1,7,2,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>16
[1,8,6,5,7,3,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[1,7,5,3,6,8,4,2]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[7,4,1,6,5,8,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[4,1,5,8,7,6,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[1,2,5,8,6,7,3,4]=>[[1,2,3,4,6],[5,8],[7]]=>8
[4,2,1,5,8,7,3,6]=>[[1,4,5],[2,6,8],[3,7]]=>13
[5,2,4,6,1,7,3,8]=>[[1,3,4,6,8],[2,7],[5]]=>14
[1,5,3,6,8,7,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[3,5,4,6,1,8,2,7]=>[[1,2,4,6],[3,7,8],[5]]=>13
[3,1,5,7,6,8,2,4]=>[[1,3,4,6],[2,5,8],[7]]=>15
[1,4,5,6,8,7,2,3]=>[[1,2,3,4,5],[6,8],[7]]=>5
[1,4,6,3,7,2,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>10
[1,7,3,6,5,2,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[8,6,2,5,4,1,7,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[3,7,2,6,5,4,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[7,6,2,5,4,3,1,8]=>[[1,4,8],[2],[3],[5],[6],[7]]=>21
[4,7,5,2,6,3,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[3,2,6,4,7,5,1,8]=>[[1,3,5,8],[2,4,6],[7]]=>16
[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]]=>6
[2,8,3,6,1,7,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[8,7,2,5,1,6,4,3]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[3,8,2,6,5,1,7,4]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[7,8,2,5,4,1,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[4,8,5,2,6,1,7,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[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]]=>16
[8,1,3,6,2,7,5,4]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[1,2,4,7,3,8,6,5]=>[[1,2,3,4,6],[5,7],[8]]=>7
[7,1,8,2,6,5,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[3,1,8,6,2,7,5,4]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[4,1,7,8,2,6,5,3]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[5,6,1,8,2,7,4,3]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[4,2,7,8,1,6,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[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]]=>23
[1,8,7,2,6,5,4,3]=>[[1,2,5],[3],[4],[6],[7],[8]]=>19
[2,8,7,1,6,5,4,3]=>[[1,2],[3,5],[4],[6],[7],[8]]=>20
[3,8,7,1,6,5,4,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>20
[4,8,7,5,1,6,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[6,7,8,5,1,4,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[5,6,3,8,4,1,7,2]=>[[1,2,4],[3,5,7],[6,8]]=>14
[7,3,8,5,4,1,6,2]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[3,4,8,6,5,1,7,2]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[8,3,7,5,1,6,4,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[1,4,8,6,2,7,5,3]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[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]]=>14
[3,4,6,5,1,2,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>10
[7,3,5,1,2,8,6,4]=>[[1,3,6],[2,5,7],[4,8]]=>20
[1,4,6,2,3,8,7,5]=>[[1,2,3,6],[4,5,7],[8]]=>8
[1,3,2,7,4,8,6,5]=>[[1,2,4,6],[3,5,7],[8]]=>13
[7,2,1,6,3,8,5,4]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[2,3,1,7,6,4,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>12
[4,5,2,1,7,3,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>11
[5,6,7,1,2,8,4,3]=>[[1,2,3,6],[4,5,7],[8]]=>8
[4,7,5,1,2,8,6,3]=>[[1,2,6],[3,5,7],[4,8]]=>14
[3,7,1,6,2,8,5,4]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[7,6,1,2,8,5,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[2,7,1,3,8,6,5,4]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[8,6,1,2,7,5,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[1,7,2,3,8,6,5,4]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[8,7,1,2,6,5,4,3]=>[[1,4,5],[2],[3],[6],[7],[8]]=>20
[7,8,1,2,6,5,4,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[3,8,1,6,2,7,5,4]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[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]]=>8
[2,1,3,7,4,8,6,5]=>[[1,3,4,6],[2,5,7],[8]]=>14
[4,2,7,3,6,8,1,5]=>[[1,3,5,6],[2,4],[7,8]]=>16
[5,3,6,4,2,8,1,7]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[4,1,5,3,8,2,7,6]=>[[1,3,5],[2,4,7],[6,8]]=>19
[5,2,6,4,7,3,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[2,6,3,4,7,5,1,8]=>[[1,2,4,5,8],[3,6],[7]]=>10
[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]]=>12
[7,3,6,4,2,8,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[7,6,4,5,2,8,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[5,4,3,1,8,2,7,6]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[6,5,4,2,7,3,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[5,4,1,7,2,6,3,8]=>[[1,4,6,8],[2,5],[3,7]]=>15
[5,4,1,8,3,2,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[6,5,2,8,3,4,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[7,4,2,1,8,3,6,5]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[6,5,3,4,8,2,7,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[6,1,5,3,8,2,7,4]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[4,6,3,1,8,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>11
[5,8,4,2,7,3,1,6]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[8,2,6,4,7,3,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[8,6,2,5,7,4,1,3]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[8,5,3,2,6,4,1,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[8,3,1,7,2,5,4,6]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[7,5,2,6,4,3,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[7,1,6,2,5,4,3,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>21
[8,1,7,3,5,6,4,2]=>[[1,3,5,6],[2],[4],[7],[8]]=>20
[8,6,1,7,4,5,2,3]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[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]]=>15
[7,1,5,8,4,2,6,3]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[7,3,8,4,5,2,6,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[7,2,8,5,3,4,6,1]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[6,1,8,4,3,2,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[6,1,7,4,2,5,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>16
[1,2,7,3,4,6,5,8]=>[[1,2,3,5,6,8],[4],[7]]=>8
[1,7,8,4,3,5,6,2]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[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]]=>11
[3,1,5,8,4,2,6,7]=>[[1,3,4,8],[2,5,7],[6]]=>14
[4,3,1,6,8,2,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>12
[5,7,4,8,3,2,1,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[5,4,8,2,7,3,1,6]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[5,2,8,7,3,4,1,6]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[6,4,7,5,3,2,1,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[1,8,3,7,6,2,4,5]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[5,8,3,2,6,4,1,7]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[6,8,2,4,7,5,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[7,3,8,2,6,4,1,5]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[4,6,8,2,7,3,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[2,6,8,7,3,4,1,5]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[7,2,8,6,3,5,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[6,8,1,7,2,5,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[3,8,7,4,5,6,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[2,8,6,4,3,5,1,7]=>[[1,2,6,8],[3],[4],[5],[7]]=>14
[2,7,6,3,5,4,1,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>15
[1,7,6,5,2,4,3,8]=>[[1,2,6,8],[3],[4],[5],[7]]=>14
[1,8,6,5,3,2,4,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[3,8,7,4,6,2,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[5,8,3,7,6,2,4,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>15
[7,1,8,6,5,2,3,4]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[8,4,7,5,3,2,1,6]=>[[1,3,8],[2],[4],[5],[6],[7]]=>22
[8,7,2,5,4,3,1,6]=>[[1,4,8],[2],[3],[5],[6],[7]]=>21
[6,8,3,2,5,4,7,1]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[1,5,7,8,4,3,6,2]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[6,3,8,1,5,4,7,2]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[6,2,1,8,5,4,7,3]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[2,6,5,7,4,1,3,8]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[2,5,6,8,4,3,7,1]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[2,5,4,7,1,8,6,3]=>[[1,2,4,6],[3,7],[5,8]]=>14
[5,2,1,8,7,6,4,3]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[4,8,6,7,5,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[6,5,4,8,2,1,7,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>20
[5,8,4,7,2,6,3,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>13
[5,8,3,2,7,6,4,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[5,2,1,4,3,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[3,5,7,4,2,6,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[4,2,1,6,5,3,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>13
[4,2,1,5,7,6,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>12
[3,5,4,7,1,6,2,8]=>[[1,2,4,8],[3,6],[5,7]]=>15
[3,4,5,8,6,7,1,2]=>[[1,2,3,4,6],[5,8],[7]]=>8
[4,3,5,1,6,8,7,2]=>[[1,3,5,6],[2,7],[4,8]]=>16
[2,1,7,3,8,4,6,5]=>[[1,3,5,7],[2,4,6],[8]]=>17
[4,1,8,2,7,3,6,5]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[4,1,7,2,8,3,6,5]=>[[1,3,5,7],[2,4,6],[8]]=>17
[7,1,3,2,8,4,6,5]=>[[1,3,5,7],[2,6],[4,8]]=>18
[7,1,8,2,4,3,6,5]=>[[1,3,5,7],[2,4],[6,8]]=>18
[8,1,7,2,5,3,6,4]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[7,1,5,2,8,3,6,4]=>[[1,3,5,7],[2,6],[4,8]]=>18
[5,1,7,2,8,3,6,4]=>[[1,3,5,7],[2,4,6],[8]]=>17
[5,1,8,2,7,3,6,4]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[5,1,8,2,4,3,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>18
[8,1,6,2,4,3,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[6,1,8,2,4,3,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>18
[6,1,8,2,5,3,7,4]=>[[1,3,5,7],[2,4],[6,8]]=>18
[8,1,6,2,5,3,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,1,6,2,7,3,5,4]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[6,1,8,2,7,3,5,4]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[6,1,7,2,8,3,5,4]=>[[1,3,5,7],[2,4,6],[8]]=>17
[6,1,7,2,5,3,8,4]=>[[1,3,5,7],[2,4,8],[6]]=>17
[6,1,7,2,4,3,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>17
[5,1,6,2,4,3,8,7]=>[[1,3,5,7],[2,4,8],[6]]=>17
[7,1,5,2,4,3,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[7,1,6,2,4,3,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[7,1,6,2,5,3,8,4]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[7,1,6,2,8,3,5,4]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[7,1,8,2,6,3,5,4]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[1,8,2,7,5,4,6,3]=>[[1,2,4,7],[3],[5],[6],[8]]=>17
[1,8,2,7,4,3,5,6]=>[[1,2,4,7,8],[3],[5],[6]]=>13
[1,8,6,4,7,2,3,5]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[1,8,4,2,6,3,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>10
[7,4,8,1,5,2,3,6]=>[[1,3,7,8],[2,5],[4,6]]=>18
[4,1,7,2,6,3,5,8]=>[[1,3,5,7,8],[2,4],[6]]=>16
[5,1,7,4,3,6,2,8]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[7,5,8,3,2,4,1,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[1,8,5,4,3,6,2,7]=>[[1,2,6,8],[3],[4],[5],[7]]=>14
[1,8,5,4,3,7,2,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[1,8,5,4,7,2,6,3]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[1,8,4,2,5,3,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>11
[1,8,5,4,2,6,7,3]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[7,4,8,2,1,3,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[4,1,7,3,2,5,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[7,5,4,8,2,3,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[3,1,7,2,6,8,4,5]=>[[1,3,5,6],[2,4,8],[7]]=>16
[5,1,7,4,2,6,8,3]=>[[1,3,6,7],[2,4],[5,8]]=>15
[4,1,6,3,2,5,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>14
[4,3,1,6,2,5,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[6,5,4,3,7,1,8,2]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[6,5,1,7,3,8,2,4]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[6,3,2,8,5,7,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[6,5,4,3,8,2,7,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[6,5,4,3,8,7,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[7,6,3,8,5,4,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[5,4,8,2,1,7,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[6,4,2,8,5,1,3,7]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[7,6,4,8,5,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[7,2,8,6,3,1,4,5]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[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]]=>12
[6,4,1,7,8,2,3,5]=>[[1,4,5,8],[2,6,7],[3]]=>11
[4,2,1,6,7,3,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>11
[4,3,1,5,2,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>14
[5,4,2,7,3,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[4,1,5,3,2,8,6,7]=>[[1,3,6,8],[2,4,7],[5]]=>15
[3,1,6,2,8,7,4,5]=>[[1,3,5,8],[2,4,6],[7]]=>16
[6,3,1,7,8,5,2,4]=>[[1,4,5],[2,6,8],[3,7]]=>13
[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]]=>12
[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]]=>16
[4,3,1,5,2,6,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>13
[5,4,2,1,6,7,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[5,4,3,1,6,7,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[6,3,8,1,2,5,7,4]=>[[1,3,6,7],[2,5],[4,8]]=>19
[3,6,7,1,2,5,8,4]=>[[1,2,3,7],[4,5,6],[8]]=>7
[7,8,3,1,2,5,6,4]=>[[1,2,6,7],[3,5],[4,8]]=>13
[7,8,1,3,2,4,6,5]=>[[1,2,6,7],[3,4],[5,8]]=>9
[7,8,2,1,3,5,4,6]=>[[1,2,6,8],[3,5],[4,7]]=>14
[5,2,3,7,1,8,6,4]=>[[1,3,4,6],[2,7],[5,8]]=>15
[2,5,3,6,1,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>14
[2,6,7,3,1,8,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>8
[2,6,7,1,3,5,4,8]=>[[1,2,3,8],[4,5,6],[7]]=>6
[6,2,8,3,1,7,4,5]=>[[1,3,6,8],[2,4],[5,7]]=>16
[3,2,5,7,1,8,4,6]=>[[1,3,4,6],[2,7,8],[5]]=>14
[4,3,1,2,7,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>11
[5,1,2,7,3,6,4,8]=>[[1,3,4,6,8],[2,5],[7]]=>14
[5,1,4,7,8,2,3,6]=>[[1,3,4,5],[2,7,8],[6]]=>13
[5,3,4,7,8,6,1,2]=>[[1,3,4,5],[2,6],[7,8]]=>12
[3,5,4,6,8,7,1,2]=>[[1,2,4,5],[3,6],[7,8]]=>11
[1,5,4,6,8,2,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>12
[1,6,7,3,2,4,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>10
[1,5,3,6,2,7,8,4]=>[[1,2,4,6,7],[3,8],[5]]=>12
[5,1,3,7,2,6,8,4]=>[[1,3,4,7],[2,6],[5,8]]=>17
[5,2,4,7,8,1,6,3]=>[[1,3,4,5],[2,7],[6,8]]=>14
[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]]=>13
[5,3,1,8,2,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>14
[6,1,8,3,2,4,7,5]=>[[1,3,6,7],[2,4],[5,8]]=>15
[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]]=>14
[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]]=>15
[3,4,2,1,8,7,5,6]=>[[1,2,5,8],[3,6],[4,7]]=>11
[7,6,5,4,2,1,8,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>18
[7,6,5,4,8,1,3,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[7,6,5,8,2,1,4,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>20
[8,5,4,3,2,1,7,6]=>[[1,7],[2,8],[3],[4],[5],[6]]=>18
[7,6,5,4,1,8,3,2]=>[[1,6],[2,7],[3],[4],[5],[8]]=>19
[7,6,5,2,8,1,4,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>19
[7,6,5,8,4,1,3,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>23
[7,6,8,5,2,1,4,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[7,8,6,3,2,1,5,4]=>[[1,2],[3,7],[4,8],[5],[6]]=>15
[8,7,4,3,2,1,6,5]=>[[1,7],[2,8],[3],[4],[5],[6]]=>18
[7,8,2,4,5,1,3,6]=>[[1,2,5,8],[3,4],[6,7]]=>11
[4,6,7,2,5,1,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>7
[7,8,1,3,2,4,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>7
[7,8,4,1,5,2,3,6]=>[[1,2,7,8],[3,5],[4,6]]=>12
[3,6,7,2,1,4,5,8]=>[[1,2,3,8],[4,6,7],[5]]=>9
[5,2,3,6,1,4,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>15
[2,5,3,6,1,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[2,6,7,3,1,4,5,8]=>[[1,2,3,7,8],[4,6],[5]]=>9
[4,6,7,1,5,2,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>8
[4,6,7,3,5,8,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>9
[6,4,7,1,5,2,3,8]=>[[1,3,7,8],[2,5],[4,6]]=>18
[6,2,7,3,1,4,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[3,2,5,6,1,4,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>15
[3,5,2,6,1,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[5,1,4,6,7,2,3,8]=>[[1,3,4,5,8],[2,7],[6]]=>13
[3,5,4,6,7,8,1,2]=>[[1,2,4,5,6],[3,8],[7]]=>10
[1,5,4,6,7,2,3,8]=>[[1,2,4,5,8],[3,7],[6]]=>12
[1,6,7,3,2,4,5,8]=>[[1,2,3,7,8],[4,6],[5]]=>9
[1,5,3,6,2,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[5,1,3,6,2,4,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>15
[5,2,4,6,7,1,3,8]=>[[1,3,4,5,8],[2,7],[6]]=>13
[2,5,4,6,7,1,3,8]=>[[1,2,4,5,8],[3,7],[6]]=>12
[2,6,7,4,5,1,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>7
[6,2,7,4,5,1,3,8]=>[[1,3,5,8],[2,4],[6,7]]=>17
[4,2,5,6,7,1,3,8]=>[[1,3,4,5,8],[2,7],[6]]=>13
[4,5,2,6,7,1,3,8]=>[[1,2,4,5,8],[3,7],[6]]=>12
[5,3,1,6,2,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[6,1,7,3,2,4,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[6,1,7,4,5,2,3,8]=>[[1,3,5,8],[2,4],[6,7]]=>17
[6,3,7,4,5,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>16
[5,4,1,6,7,2,3,8]=>[[1,4,5,8],[2,6,7],[3]]=>11
[5,2,1,6,3,4,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[7,3,2,5,4,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[7,3,5,4,2,1,6,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>18
[7,3,5,2,4,1,6,8]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[7,6,5,2,1,4,3,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[1,3,6,7,5,2,8,4]=>[[1,2,3,4,7],[5,8],[6]]=>6
[7,3,4,1,6,2,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>16
[7,3,4,1,6,5,2,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[7,3,4,1,5,6,2,8]=>[[1,3,5,6,8],[2,7],[4]]=>15
[7,3,2,5,1,6,4,8]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[7,6,5,4,1,3,2,8]=>[[1,6,8],[2],[3],[4],[5],[7]]=>19
[7,3,4,1,5,2,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>16
[1,3,6,7,2,5,8,4]=>[[1,2,3,4,7],[5,6],[8]]=>6
[1,7,4,6,2,8,5,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[4,3,1,7,2,6,8,5]=>[[1,4,6,7],[2,5],[3,8]]=>14
[5,6,1,4,7,3,8,2]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[5,3,2,1,7,4,8,6]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[1,3,4,5,8,7,2,6]=>[[1,2,3,4,5],[6,8],[7]]=>5
[6,3,4,5,8,1,7,2]=>[[1,3,4,5],[2,7],[6,8]]=>14
[2,4,5,1,6,8,7,3]=>[[1,2,3,5,6],[4,7],[8]]=>8
[3,1,2,5,6,8,7,4]=>[[1,3,4,5,6],[2,7],[8]]=>10
[4,3,2,5,6,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[3,7,5,4,6,8,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[3,1,4,6,5,8,2,7]=>[[1,3,4,6],[2,5,8],[7]]=>15
[2,3,4,5,8,6,1,7]=>[[1,2,3,4,5,8],[6],[7]]=>4
[2,3,4,5,8,1,7,6]=>[[1,2,3,4,5],[6,7],[8]]=>4
[3,1,4,6,5,8,7,2]=>[[1,3,4,6],[2,5,7],[8]]=>14
[3,7,5,4,6,8,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[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]]=>14
[4,3,1,7,6,5,8,2]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[3,1,4,6,7,8,5,2]=>[[1,3,4,5,6],[2,7],[8]]=>10
[1,4,5,2,6,8,7,3]=>[[1,2,3,5,6],[4,7],[8]]=>8
[3,7,5,2,6,8,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[3,7,5,2,6,8,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[5,6,1,2,7,4,8,3]=>[[1,2,5,7],[3,4,6],[8]]=>11
[6,3,5,2,4,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[5,3,2,1,4,7,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[5,3,1,4,2,7,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>13
[5,3,1,2,4,7,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>9
[7,1,5,2,6,8,4,3]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[7,1,5,2,6,8,3,4]=>[[1,3,5,6],[2,7,8],[4]]=>15
[1,7,4,6,5,8,3,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>18
[2,7,4,6,1,8,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>13
[2,7,4,6,1,8,5,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[2,3,6,7,1,5,8,4]=>[[1,2,3,4,7],[5,6],[8]]=>6
[2,3,6,7,5,1,8,4]=>[[1,2,3,4,7],[5,8],[6]]=>6
[4,3,2,6,7,1,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[7,3,2,5,6,8,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[7,1,5,4,6,8,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[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]]=>12
[7,3,4,5,8,1,6,2]=>[[1,3,4,5],[2,7],[6,8]]=>14
[7,3,4,5,8,1,2,6]=>[[1,3,4,5],[2,7,8],[6]]=>13
[1,3,4,5,8,6,2,7]=>[[1,2,3,4,5,8],[6],[7]]=>4
[1,3,4,5,8,2,7,6]=>[[1,2,3,4,5],[6,7],[8]]=>4
[6,3,4,5,8,2,1,7]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[6,3,4,5,8,2,7,1]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[7,3,4,5,8,6,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[2,7,4,6,5,8,3,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>18
[7,1,5,4,6,8,3,2]=>[[1,3,5,6],[2],[4],[7],[8]]=>20
[7,3,2,5,6,8,4,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[5,7,4,6,1,8,3,2]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[6,3,4,5,8,1,2,7]=>[[1,3,4,5],[2,7,8],[6]]=>13
[7,3,4,5,8,2,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[7,3,4,5,8,2,6,1]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[4,8,6,1,7,5,2,3]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[4,7,8,2,6,1,5,3]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[7,6,4,2,8,3,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[8,6,4,2,7,5,3,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>17
[8,4,7,3,6,5,1,2]=>[[1,3],[2,5],[4,8],[6],[7]]=>24
[8,4,6,1,7,5,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[6,4,7,1,8,3,2,5]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[7,4,8,3,6,1,5,2]=>[[1,3],[2,5],[4,7],[6,8]]=>24
[6,2,1,7,3,5,4,8]=>[[1,4,6,8],[2,5],[3,7]]=>15
[2,1,8,6,3,5,4,7]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[2,1,7,3,5,8,6,4]=>[[1,3,5,6],[2,4,7],[8]]=>15
[2,7,3,1,5,4,6,8]=>[[1,2,5,7,8],[3,6],[4]]=>10
[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]]=>14
[2,1,8,6,3,5,7,4]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[6,2,1,7,3,5,8,4]=>[[1,4,6,7],[2,5],[3,8]]=>14
[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]]=>12
[3,2,1,5,7,8,4,6]=>[[1,4,5,6],[2,7,8],[3]]=>10
[2,1,7,3,6,8,4,5]=>[[1,3,5,6],[2,4,8],[7]]=>16
[2,7,3,1,5,6,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>8
[2,4,7,5,1,6,8,3]=>[[1,2,3,6,7],[4,8],[5]]=>7
[4,3,7,5,6,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>18
[4,3,6,8,5,1,7,2]=>[[1,3,4],[2,5,7],[6,8]]=>15
[2,6,1,8,3,5,7,4]=>[[1,2,4,7],[3,5,6],[8]]=>12
[2,1,6,8,3,7,4,5]=>[[1,3,4,8],[2,5,6],[7]]=>12
[2,1,8,3,5,7,4,6]=>[[1,3,5,6],[2,4,8],[7]]=>16
[3,2,1,5,6,8,4,7]=>[[1,4,5,6],[2,7,8],[3]]=>10
[3,2,1,5,7,4,6,8]=>[[1,4,5,8],[2,6,7],[3]]=>11
[2,1,7,3,6,4,5,8]=>[[1,3,5,7,8],[2,4],[6]]=>16
[2,1,6,3,5,8,4,7]=>[[1,3,5,6],[2,4,8],[7]]=>16
[8,2,4,1,7,5,6,3]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[3,8,4,7,5,1,6,2]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[8,4,3,6,1,7,5,2]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[8,2,1,7,3,5,4,6]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[2,6,1,8,3,5,4,7]=>[[1,2,4,8],[3,5,6],[7]]=>11
[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]]=>8
[8,2,4,1,7,5,3,6]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[5,8,6,3,1,7,4,2]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[2,4,7,1,8,5,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>10
[2,4,8,5,1,6,3,7]=>[[1,2,3,6,8],[4,7],[5]]=>8
[6,2,1,7,3,4,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>13
[6,2,1,7,8,3,5,4]=>[[1,4,5],[2,6,7],[3,8]]=>12
[2,7,1,8,3,5,6,4]=>[[1,2,4,7],[3,5,6],[8]]=>12
[2,1,8,3,6,4,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>16
[3,2,1,6,7,4,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>11
[3,2,1,7,4,5,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[3,2,1,6,8,4,5,7]=>[[1,4,5,8],[2,6,7],[3]]=>11
[2,1,8,3,7,4,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>16
[2,1,8,3,6,7,4,5]=>[[1,3,5,6],[2,4,8],[7]]=>16
[2,4,8,5,1,6,7,3]=>[[1,2,3,6,7],[4,8],[5]]=>7
[4,3,8,5,6,1,7,2]=>[[1,3,5,7],[2,4],[6,8]]=>18
[3,2,1,8,4,5,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>12
[1,6,8,3,7,2,4,5]=>[[1,2,3,8],[4,5],[6,7]]=>7
[3,8,1,5,7,2,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>12
[1,2,6,8,4,7,3,5]=>[[1,2,3,4],[5,6],[7,8]]=>6
[6,1,5,8,2,4,7,3]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[1,2,4,8,3,6,7,5]=>[[1,2,3,4,7],[5,6],[8]]=>6
[4,1,2,7,8,3,6,5]=>[[1,3,4,5],[2,6,7],[8]]=>11
[3,5,7,4,8,6,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>10
[5,3,8,4,7,6,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[8,7,1,2,5,4,6,3]=>[[1,4,5,7],[2],[3],[6],[8]]=>17
[5,8,1,2,3,7,6,4]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[1,2,8,4,3,5,7,6]=>[[1,2,3,6,7],[4,8],[5]]=>7
[1,2,5,3,7,6,4,8]=>[[1,2,3,5,8],[4,6],[7]]=>9
[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]]=>19
[1,2,6,3,8,5,4,7]=>[[1,2,3,5,8],[4,6],[7]]=>9
[1,2,8,5,3,6,4,7]=>[[1,2,3,6,8],[4,7],[5]]=>8
[1,2,7,3,8,5,4,6]=>[[1,2,3,5,8],[4,6],[7]]=>9
[4,1,2,7,8,6,3,5]=>[[1,3,4,5],[2,6,8],[7]]=>12
[1,6,2,8,4,3,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>11
[1,6,4,2,7,3,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>10
[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]]=>10
[3,1,7,8,6,2,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>14
[1,8,7,2,4,5,6,3]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[1,8,7,3,5,6,2,4]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[1,3,2,8,7,4,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>11
[1,8,3,2,6,4,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>10
[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]]=>8
[8,5,1,7,2,4,6,3]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[5,3,8,7,4,6,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[3,8,6,4,7,5,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[6,1,8,2,7,4,5,3]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[1,2,5,3,8,6,4,7]=>[[1,2,3,5,8],[4,6],[7]]=>9
[1,2,7,5,3,6,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>8
[1,2,6,3,7,5,4,8]=>[[1,2,3,5,8],[4,6],[7]]=>9
[1,2,3,7,5,4,8,6]=>[[1,2,3,4,7],[5,8],[6]]=>6
[3,7,4,8,6,5,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[1,8,2,7,6,4,5,3]=>[[1,2,4,7],[3],[5],[6],[8]]=>17
[2,8,7,6,5,1,4,3]=>[[1,2],[3,7],[4],[5],[6],[8]]=>18
[7,1,6,3,2,5,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[2,7,6,3,1,5,8,4]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[1,8,4,3,6,5,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[1,8,4,6,5,3,2,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[7,4,2,1,6,5,3,8]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[7,6,1,4,3,5,2,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>19
[7,4,1,3,5,2,6,8]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[7,3,1,2,4,6,5,8]=>[[1,4,5,6,8],[2,7],[3]]=>10
[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]]=>16
[3,6,2,1,4,8,5,7]=>[[1,2,6,8],[3,5,7],[4]]=>13
[3,1,7,2,4,6,8,5]=>[[1,3,5,6,7],[2,4],[8]]=>14
[3,4,7,1,5,2,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>7
[3,6,7,4,1,5,8,2]=>[[1,2,3,7],[4,6],[5,8]]=>11
[4,3,2,7,1,5,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[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]]=>14
[5,6,8,7,4,3,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[1,8,2,7,4,3,6,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[6,5,8,2,3,7,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[6,4,8,5,3,1,7,2]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[5,7,8,6,1,3,2,4]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[2,4,8,1,6,3,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>7
[3,1,2,8,6,4,7,5]=>[[1,3,4,7],[2,5,8],[6]]=>13
[5,3,2,6,4,8,1,7]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[4,1,6,3,5,8,2,7]=>[[1,3,5,6],[2,4,8],[7]]=>16
[2,4,5,3,8,6,1,7]=>[[1,2,3,5,8],[4,6],[7]]=>9
[1,8,5,3,2,7,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[1,8,4,5,2,6,7,3]=>[[1,2,4,6,7],[3,8],[5]]=>12
[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]]=>9
[1,8,4,3,6,2,7,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[5,6,7,3,2,8,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[2,5,7,3,6,8,4,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[5,3,2,1,4,8,6,7]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[5,3,1,4,2,8,6,7]=>[[1,4,6,8],[2,5,7],[3]]=>14
[7,6,1,3,8,5,4,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[3,4,7,8,1,2,6,5]=>[[1,2,3,4],[5,6,7],[8]]=>5
[3,6,7,8,1,4,5,2]=>[[1,2,3,4],[5,6,7],[8]]=>5
[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]]=>7
[3,1,6,4,8,2,5,7]=>[[1,3,5,8],[2,4,7],[6]]=>18
[7,3,2,6,8,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[7,3,5,8,4,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[7,5,2,8,4,1,6,3]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[7,4,5,8,2,1,3,6]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[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]]=>8
[6,4,2,8,3,5,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[6,3,4,8,2,5,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[7,5,4,8,3,6,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>24
[2,7,4,8,5,3,6,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[7,1,5,4,8,3,6,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[7,3,2,5,8,4,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[8,4,6,3,7,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[7,4,6,3,8,5,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[2,5,6,8,3,4,1,7]=>[[1,2,3,4],[5,6,8],[7]]=>6
[8,4,6,2,7,5,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[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]]=>8
[2,5,7,8,4,1,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>7
[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]]=>19
[7,4,6,2,8,5,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[4,3,2,6,8,5,1,7]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[3,5,6,8,2,4,1,7]=>[[1,2,3,4],[5,6,8],[7]]=>6
[3,5,6,8,4,2,1,7]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[2,6,7,8,1,4,5,3]=>[[1,2,3,4],[5,6,7],[8]]=>5
[3,6,7,8,1,4,2,5]=>[[1,2,3,4],[5,6,8],[7]]=>6
[3,5,7,8,2,1,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>7
[2,6,7,8,1,4,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>6
[6,5,7,8,3,1,4,2]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[2,5,7,8,3,1,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>7
[2,4,7,3,8,1,5,6]=>[[1,2,3,5],[4,7,8],[6]]=>11
[6,4,7,3,8,1,5,2]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[6,4,7,3,8,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[7,4,6,3,8,2,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[6,3,2,5,4,8,1,7]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[6,4,5,2,3,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[6,4,5,3,2,8,1,7]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[5,4,6,3,8,2,1,7]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[5,4,7,3,8,1,6,2]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[2,5,7,8,3,1,6,4]=>[[1,2,3,4],[5,7],[6,8]]=>8
[4,5,7,8,3,1,2,6]=>[[1,2,3,4],[5,7,8],[6]]=>7
[4,5,6,8,2,3,1,7]=>[[1,2,3,4],[5,6,8],[7]]=>6
[5,4,6,2,8,3,1,7]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[5,3,2,6,8,4,1,7]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[5,4,7,2,8,1,3,6]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[4,5,7,8,2,1,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>7
[4,6,7,8,1,3,2,5]=>[[1,2,3,4],[5,6,8],[7]]=>6
[4,6,7,8,1,3,5,2]=>[[1,2,3,4],[5,6,7],[8]]=>5
[2,6,7,8,1,3,5,4]=>[[1,2,3,4],[5,6,7],[8]]=>5
[2,6,7,8,1,5,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6
[4,6,7,8,1,5,2,3]=>[[1,2,3,4],[5,6,8],[7]]=>6
[4,6,7,8,1,2,5,3]=>[[1,2,3,4],[5,6,7],[8]]=>5
[4,5,7,8,2,1,6,3]=>[[1,2,3,4],[5,7],[6,8]]=>8
[5,4,7,2,8,1,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[5,3,2,7,8,1,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[4,3,2,7,8,1,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[3,5,7,8,2,1,6,4]=>[[1,2,3,4],[5,7],[6,8]]=>8
[3,6,7,8,1,2,5,4]=>[[1,2,3,4],[5,6,7],[8]]=>5
[3,6,7,8,1,5,2,4]=>[[1,2,3,4],[5,6,8],[7]]=>6
[3,6,7,8,1,5,4,2]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[2,6,7,8,1,5,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[4,2,7,1,5,3,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>19
[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]]=>14
[7,2,1,3,5,8,6,4]=>[[1,4,5,6],[2,7],[3,8]]=>11
[2,3,6,4,7,1,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>11
[1,3,4,8,2,7,5,6]=>[[1,2,3,4,8],[5,6],[7]]=>5
[3,1,4,8,2,6,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>13
[8,3,1,6,2,5,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[4,8,6,2,1,5,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[4,8,3,6,5,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[6,4,7,3,5,1,8,2]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[6,4,7,5,1,8,2,3]=>[[1,3,6],[2,4,8],[5,7]]=>17
[3,6,1,7,5,8,2,4]=>[[1,2,4,6],[3,5,8],[7]]=>14
[7,3,5,1,6,8,2,4]=>[[1,3,5,6],[2,7,8],[4]]=>15
[4,7,3,5,6,1,8,2]=>[[1,2,5,7],[3,4],[6,8]]=>12
[3,4,6,8,5,1,7,2]=>[[1,2,3,4],[5,7],[6,8]]=>8
[4,6,8,2,1,5,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>10
[6,8,2,1,3,5,7,4]=>[[1,2,6,7],[3,5],[4,8]]=>13
[1,8,2,3,5,7,4,6]=>[[1,2,4,5,6],[3,8],[7]]=>10
[2,7,3,6,1,4,5,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[2,6,1,3,5,8,4,7]=>[[1,2,5,6],[3,4,8],[7]]=>10
[7,3,2,5,6,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[4,7,5,2,6,1,3,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[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]]=>13
[4,5,6,2,7,1,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>11
[8,5,1,2,6,3,4,7]=>[[1,4,5,7,8],[2,6],[3]]=>11
[1,6,2,7,4,8,3,5]=>[[1,2,4,6],[3,5,8],[7]]=>14
[6,2,1,7,8,5,3,4]=>[[1,4,5],[2,6,8],[3,7]]=>13
[6,7,3,8,4,1,5,2]=>[[1,2,4],[3,5,7],[6,8]]=>14
[2,7,8,4,1,5,6,3]=>[[1,2,3,7],[4,6],[5,8]]=>11
[2,7,1,8,5,6,3,4]=>[[1,2,4],[3,5,6],[7,8]]=>12
[8,2,5,1,6,7,3,4]=>[[1,3,5,6],[2,7,8],[4]]=>15
[8,2,4,5,1,6,7,3]=>[[1,3,4,6,7],[2,8],[5]]=>13
[3,8,4,5,6,1,7,2]=>[[1,2,4,5,7],[3,8],[6]]=>11
[4,5,8,3,6,7,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>9
[4,5,8,3,7,6,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[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]]=>14
[7,2,3,4,8,1,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>13
[7,6,3,4,8,5,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[7,6,3,5,8,4,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[7,6,3,8,4,5,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[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]]=>16
[7,2,3,8,4,1,5,6]=>[[1,3,4,7,8],[2,5],[6]]=>12
[7,2,3,5,8,1,4,6]=>[[1,3,4,5],[2,7,8],[6]]=>13
[7,8,2,3,6,1,4,5]=>[[1,2,5,8],[3,4],[6,7]]=>11
[7,8,2,3,6,1,5,4]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[4,2,6,3,7,1,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>18
[7,2,3,5,8,1,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>14
[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]]=>15
[3,6,4,8,1,7,5,2]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[7,6,5,1,2,3,8,4]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[7,6,5,1,4,2,8,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[2,6,4,5,1,8,7,3]=>[[1,2,4,6],[3,7],[5,8]]=>14
[3,5,6,4,1,2,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>9
[7,8,5,4,1,2,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[3,5,6,4,1,2,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>10
[7,6,5,1,4,2,3,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[7,6,5,1,2,4,3,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[7,6,5,1,2,4,8,3]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[7,6,5,1,3,2,8,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[7,6,5,1,3,2,4,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[7,6,5,1,3,4,2,8]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[7,2,3,4,5,1,8,6]=>[[1,3,4,5,7],[2,8],[6]]=>12
[2,6,4,3,1,5,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[2,6,4,3,1,8,5,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[2,6,4,3,1,8,7,5]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[3,5,8,4,1,2,7,6]=>[[1,2,3],[4,6,7],[5,8]]=>10
[3,5,8,4,1,2,6,7]=>[[1,2,3,8],[4,6,7],[5]]=>9
[3,5,8,4,1,6,2,7]=>[[1,2,3,8],[4,6],[5,7]]=>10
[4,2,8,3,6,1,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>18
[3,5,8,4,1,6,7,2]=>[[1,2,3,7],[4,6],[5,8]]=>11
[2,5,8,4,1,7,3,6]=>[[1,2,3],[4,6,8],[5,7]]=>11
[3,6,4,2,1,7,8,5]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[3,6,4,2,1,7,5,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[3,5,6,4,1,8,7,2]=>[[1,2,3,6],[4,7],[5,8]]=>9
[2,6,4,5,1,3,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[7,6,5,1,4,3,8,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>21
[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]]=>12
[7,6,5,1,8,2,4,3]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[7,6,5,1,8,2,3,4]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[7,6,5,1,8,3,2,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[7,6,5,1,4,8,2,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[3,6,4,5,1,7,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[2,5,6,4,1,7,8,3]=>[[1,2,3,6,7],[4,8],[5]]=>7
[7,8,5,4,1,6,3,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[2,5,6,4,1,7,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>8
[3,6,4,5,1,7,8,2]=>[[1,2,4,6,7],[3,8],[5]]=>12
[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]]=>17
[7,6,5,1,8,4,2,3]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[4,1,7,6,2,8,5,3]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[7,8,6,2,1,3,5,4]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[3,7,6,1,2,8,4,5]=>[[1,2,6,8],[3,5,7],[4]]=>13
[2,6,5,3,1,4,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[4,6,1,5,3,2,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[3,6,1,4,2,5,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>8
[2,6,4,5,7,8,1,3]=>[[1,2,4,5,6],[3,8],[7]]=>10
[8,7,1,6,5,2,4,3]=>[[1,4,7],[2],[3],[5],[6],[8]]=>22
[7,2,5,6,8,1,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>13
[6,1,3,4,2,8,7,5]=>[[1,3,4,6],[2,7],[5,8]]=>15
[2,4,5,6,1,8,7,3]=>[[1,2,3,4,6],[5,7],[8]]=>7
[8,4,1,6,5,7,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[2,8,3,4,7,5,1,6]=>[[1,2,4,5,8],[3],[6],[7]]=>12
[6,8,2,7,4,3,5,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[4,7,8,5,1,6,3,2]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[8,2,6,4,7,3,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[4,8,6,1,7,3,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[8,7,3,2,1,5,4,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[3,8,5,1,7,2,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>10
[6,8,7,1,3,2,4,5]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[2,5,1,8,7,4,6,3]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[3,7,1,8,4,5,6,2]=>[[1,2,4,7],[3,5,6],[8]]=>12
[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]]=>15
[8,3,7,4,6,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[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]]=>9
[7,4,2,1,8,6,5,3]=>[[1,5],[2,6],[3,7],[4,8]]=>16
[4,6,7,2,5,8,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[7,6,2,5,3,8,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[6,2,1,3,4,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>11
[6,5,4,2,8,3,1,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[5,4,3,1,8,7,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[6,1,4,3,8,5,2,7]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[4,7,6,2,8,1,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[6,4,5,1,7,8,3,2]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[4,2,3,1,7,8,6,5]=>[[1,3,5,6],[2,7],[4,8]]=>16
[3,4,2,1,8,6,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>12
[2,7,6,8,1,5,3,4]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[6,4,5,8,3,1,2,7]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[8,1,3,2,5,6,7,4]=>[[1,3,5,6,7],[2,8],[4]]=>14
[3,6,8,1,5,2,4,7]=>[[1,2,3,8],[4,5,7],[6]]=>8
[3,2,8,7,4,5,1,6]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[6,3,8,5,7,4,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[7,4,6,8,5,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[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]]=>14
[3,6,8,2,4,1,5,7]=>[[1,2,3,8],[4,5,7],[6]]=>8
[6,2,8,1,7,5,4,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[2,6,5,4,8,1,3,7]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[6,5,3,4,8,1,7,2]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[8,4,3,2,5,1,7,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[4,2,8,1,5,3,6,7]=>[[1,3,7,8],[2,5],[4,6]]=>18
[5,1,8,2,6,4,3,7]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[7,4,8,6,2,1,3,5]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[4,6,2,8,3,7,5,1]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[2,1,5,8,3,6,4,7]=>[[1,3,4,8],[2,5,6],[7]]=>12
[2,8,5,3,6,7,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[7,8,5,6,4,1,3,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>15
[5,8,4,1,6,3,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[4,8,1,3,5,7,6,2]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[3,8,1,4,5,6,2,7]=>[[1,2,5,6,8],[3,4],[7]]=>9
[7,6,8,3,5,1,4,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[7,8,6,3,5,1,4,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>19
[5,3,8,7,6,1,4,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[6,5,8,4,7,1,3,2]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[6,7,4,2,5,3,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[7,6,4,8,3,1,5,2]=>[[1,4],[2,7],[3,8],[5],[6]]=>20
[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]]=>13
[4,2,7,5,6,3,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[3,4,7,5,6,2,1,8]=>[[1,2,3,5,8],[4],[6],[7]]=>11
[4,7,3,5,6,2,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[3,7,2,5,6,4,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[7,8,3,5,6,1,4,2]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[1,6,8,5,2,7,4,3]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[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]]=>16
[3,2,7,8,6,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[6,8,4,1,2,3,7,5]=>[[1,2,6,7],[3,5],[4,8]]=>13
[4,1,8,5,6,3,2,7]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[1,8,2,5,6,4,3,7]=>[[1,2,4,5,8],[3],[6],[7]]=>12
[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]]=>11
[8,2,1,5,3,7,6,4]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[1,5,2,4,6,7,8,3]=>[[1,2,4,5,6,7],[3],[8]]=>8
[4,1,5,3,6,7,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>14
[8,1,6,5,3,7,2,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[7,1,4,6,3,2,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[3,2,6,4,1,7,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>14
[7,6,4,3,1,2,8,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[8,6,3,5,1,7,2,4]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[4,5,3,1,6,7,8,2]=>[[1,2,5,6,7],[3,8],[4]]=>8
[3,5,2,1,6,7,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>8
[5,2,3,1,6,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>14
[1,5,3,2,6,7,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>8
[8,4,6,5,1,7,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[7,5,4,6,1,2,8,3]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[3,2,5,6,1,7,8,4]=>[[1,3,4,6,7],[2,8],[5]]=>13
[3,2,8,7,6,1,4,5]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[6,8,4,7,2,1,3,5]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[3,8,7,5,6,1,2,4]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[8,2,7,5,6,1,3,4]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[4,8,6,5,1,7,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[1,7,4,6,2,3,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>15
[7,6,4,2,1,5,8,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[5,7,4,6,1,3,8,2]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[8,6,4,7,3,1,2,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[5,2,4,3,7,1,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[3,5,4,2,7,1,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[8,6,4,1,3,5,2,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[6,7,4,1,5,3,8,2]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[7,5,4,1,2,6,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[1,7,4,2,3,6,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>8
[1,8,2,5,3,7,6,4]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[6,8,1,5,4,7,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[8,2,1,5,6,4,3,7]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[3,8,1,5,6,4,2,7]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[6,8,4,1,2,5,3,7]=>[[1,2,6,8],[3,5],[4,7]]=>14
[3,2,8,1,6,5,4,7]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[3,2,6,1,5,7,8,4]=>[[1,3,6,7],[2,5],[4,8]]=>19
[7,6,4,1,5,2,8,3]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[8,6,1,5,4,7,2,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[3,5,1,4,6,7,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>8
[5,2,1,4,6,7,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>9
[5,4,1,3,6,7,8,2]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[8,4,1,5,3,7,2,6]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[7,5,4,1,3,2,8,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[3,2,5,1,4,7,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>18
[7,1,4,3,5,2,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,1,3,5,4,7,2,6]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[5,1,3,4,6,7,8,2]=>[[1,3,4,5,6,7],[2],[8]]=>9
[3,1,8,2,5,7,4,6]=>[[1,3,5,6],[2,4,8],[7]]=>16
[8,3,2,6,1,4,7,5]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[2,8,1,6,4,3,7,5]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[2,6,1,3,8,7,5,4]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[2,5,7,1,3,8,6,4]=>[[1,2,3,6],[4,5,7],[8]]=>8
[2,6,8,1,5,7,4,3]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[2,7,1,5,8,4,6,3]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[2,7,1,6,4,8,3,5]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[2,7,1,6,5,3,8,4]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[2,8,1,7,6,5,4,3]=>[[1,2],[3,4],[5],[6],[7],[8]]=>16
[8,3,2,7,1,6,5,4]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[4,1,8,7,3,2,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[4,1,7,2,8,6,5,3]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[3,7,1,8,6,5,4,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[3,7,6,1,4,2,5,8]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[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]]=>11
[7,3,5,8,2,1,4,6]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[7,3,6,2,1,4,5,8]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[7,3,6,2,1,5,4,8]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[7,4,2,8,1,6,5,3]=>[[1,4],[2,6],[3,7],[5,8]]=>20
[8,7,5,3,2,1,6,4]=>[[1,7],[2,8],[3],[4],[5],[6]]=>18
[7,5,2,6,3,1,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[7,4,6,2,1,8,3,5]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[6,8,4,5,2,1,7,3]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[4,6,8,5,1,7,3,2]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[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]]=>16
[5,1,7,6,3,8,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[5,1,7,6,4,2,8,3]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[5,1,8,7,6,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>22
[8,5,2,1,7,6,4,3]=>[[1,5],[2,6],[3,7],[4],[8]]=>17
[8,5,2,1,6,3,7,4]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[5,1,8,6,3,2,7,4]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[3,6,1,7,4,8,2,5]=>[[1,2,4,6],[3,5,8],[7]]=>14
[4,1,8,6,3,7,2,5]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[8,4,2,5,7,3,1,6]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[3,4,6,8,5,7,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>6
[5,4,8,2,7,3,6,1]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[5,4,8,7,3,6,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>18
[8,5,4,7,3,6,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>24
[6,4,3,8,7,1,2,5]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[6,3,7,2,4,8,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[5,6,8,4,2,7,3,1]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[5,7,4,2,8,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[6,5,2,7,1,3,8,4]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[8,6,5,4,2,1,7,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>18
[6,4,7,3,1,8,2,5]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[5,7,4,3,8,6,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[7,5,8,4,6,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>26
[7,6,4,8,3,5,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>24
[7,6,5,3,8,2,4,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[5,6,3,7,4,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[7,6,3,8,5,1,4,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[6,4,8,1,3,2,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[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]]=>18
[3,7,2,4,6,5,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[8,1,3,4,5,2,6,7]=>[[1,3,4,5,7,8],[2],[6]]=>11
[1,6,8,4,2,5,3,7]=>[[1,2,3,8],[4,6],[5,7]]=>10
[6,2,8,4,1,5,7,3]=>[[1,3,6,7],[2,4],[5,8]]=>15
[6,7,4,8,5,1,2,3]=>[[1,2,4],[3,5,8],[6,7]]=>13
[3,2,7,8,5,1,6,4]=>[[1,3,4],[2,5,7],[6,8]]=>15
[3,2,8,1,5,4,6,7]=>[[1,3,7,8],[2,5],[4,6]]=>18
[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]]=>7
[6,1,8,4,3,7,2,5]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[3,7,1,4,2,5,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>8
[7,2,1,4,3,5,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[4,1,5,3,6,8,2,7]=>[[1,3,5,6],[2,4,8],[7]]=>16
[6,1,8,5,3,2,7,4]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[7,1,4,6,3,8,5,2]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[3,2,6,4,1,8,7,5]=>[[1,3,6],[2,4,7],[5,8]]=>16
[7,6,4,3,1,8,2,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[3,5,2,1,8,7,6,4]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[1,5,3,2,8,6,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>11
[5,4,2,1,7,8,6,3]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[8,2,7,6,5,1,3,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[8,6,2,7,1,4,5,3]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[1,7,3,6,2,8,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[7,6,3,2,1,8,5,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[8,6,3,7,4,1,2,5]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[5,2,3,4,7,1,8,6]=>[[1,3,4,5,7],[2,8],[6]]=>12
[8,6,3,1,4,5,7,2]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[6,7,3,1,5,4,2,8]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[5,8,3,1,2,4,7,6]=>[[1,2,6,7],[3,5],[4,8]]=>13
[8,1,3,2,4,5,6,7]=>[[1,3,5,6,7,8],[2],[4]]=>13
[8,4,1,7,2,3,6,5]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[8,2,1,6,5,4,7,3]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[3,8,1,5,6,4,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[6,8,4,1,2,5,7,3]=>[[1,2,6,7],[3,5],[4,8]]=>13
[3,2,8,1,6,5,7,4]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[7,6,4,1,5,2,3,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[8,6,1,5,4,7,3,2]=>[[1,4,6],[2],[3],[5],[7],[8]]=>23
[3,5,1,4,6,7,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>9
[5,2,1,4,7,6,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>12
[4,5,8,2,1,3,7,6]=>[[1,2,3],[4,6,7],[5,8]]=>10
[5,8,2,3,1,4,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>7
[4,2,1,3,5,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>11
[5,4,1,3,6,2,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[8,5,4,1,3,6,2,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[3,2,5,1,4,6,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>18
[8,1,4,3,5,6,7,2]=>[[1,3,5,6,7],[2],[4],[8]]=>16
[7,1,3,5,4,6,2,8]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[5,1,3,4,6,2,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>11
[4,1,3,2,5,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>15
[4,6,7,3,1,5,2,8]=>[[1,2,3,8],[4,6],[5,7]]=>10
[6,8,1,3,5,2,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>12
[6,8,3,1,4,5,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>13
[7,5,1,8,2,3,6,4]=>[[1,4,6,7],[2,5],[3,8]]=>14
[5,3,8,4,2,6,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[4,1,8,3,5,7,2,6]=>[[1,3,5,6],[2,4],[7,8]]=>16
[4,5,7,2,3,6,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>7
[2,6,3,4,7,5,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>11
[4,5,2,7,1,6,8,3]=>[[1,2,4,7],[3,6],[5,8]]=>16
[3,4,1,6,5,8,2,7]=>[[1,2,4,6],[3,5,8],[7]]=>14
[7,3,1,4,8,5,6,2]=>[[1,4,5,7],[2,6],[3,8]]=>13
[6,4,2,8,7,1,5,3]=>[[1,4],[2,5],[3,7],[6,8]]=>19
[7,2,4,8,1,5,3,6]=>[[1,3,4,8],[2,6],[5,7]]=>16
[4,6,3,1,7,8,5,2]=>[[1,2,5,6],[3,7],[4,8]]=>10
[5,3,1,6,7,8,4,2]=>[[1,4,5,6],[2,7],[3,8]]=>11
[4,1,6,2,7,8,5,3]=>[[1,3,5,6],[2,4,7],[8]]=>15
[2,1,3,4,8,7,5,6]=>[[1,3,4,5,8],[2,6],[7]]=>11
[4,8,3,7,6,5,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[6,3,8,7,5,4,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[5,3,8,7,6,4,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[2,8,7,6,1,5,4,3]=>[[1,2],[3,6],[4],[5],[7],[8]]=>19
[5,2,8,7,6,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[6,2,8,7,5,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[7,8,2,6,5,1,4,3]=>[[1,2],[3,4],[5,7],[6],[8]]=>15
[6,1,8,7,5,4,3,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>22
[3,1,8,7,6,5,4,2]=>[[1,3],[2,4],[5],[6],[7],[8]]=>22
[7,8,2,6,1,5,4,3]=>[[1,2],[3,4],[5,6],[7],[8]]=>13
[6,2,8,7,1,5,4,3]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[4,2,8,1,7,6,5,3]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[4,8,2,7,6,1,5,3]=>[[1,2],[3,4],[5,7],[6],[8]]=>15
[3,8,7,2,1,6,5,4]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[6,5,8,7,1,4,3,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[4,8,1,7,6,5,3,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>16
[5,4,1,8,7,6,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[6,4,8,1,7,5,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[7,8,4,1,6,5,3,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[7,8,3,1,6,5,4,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[6,3,8,1,7,5,4,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[5,3,1,8,7,6,4,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[7,8,2,1,6,5,4,3]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[6,5,3,1,8,7,4,2]=>[[1,5],[2,6],[3,7],[4,8]]=>16
[6,4,3,1,8,7,5,2]=>[[1,5],[2,6],[3,7],[4,8]]=>16
[5,4,3,1,8,7,6,2]=>[[1,5],[2,6],[3,7],[4,8]]=>16
[7,5,2,1,8,6,4,3]=>[[1,5],[2,6],[3,7],[4,8]]=>16
[5,4,2,1,8,7,6,3]=>[[1,5],[2,6],[3,7],[4,8]]=>16
[7,3,2,1,8,6,5,4]=>[[1,5],[2,6],[3,7],[4,8]]=>16
[6,3,2,1,8,7,5,4]=>[[1,5],[2,6],[3,7],[4,8]]=>16
[6,1,4,2,3,5,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>14
[8,6,1,4,2,3,5,7]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[6,8,1,4,2,3,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>7
[8,1,4,2,3,6,5,7]=>[[1,3,5,6,8],[2,7],[4]]=>15
[4,1,8,2,3,6,5,7]=>[[1,3,5,6,8],[2,4],[7]]=>15
[8,2,3,6,1,4,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>15
[6,2,3,8,1,4,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>15
[4,6,2,3,8,1,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>12
[4,8,2,3,6,1,5,7]=>[[1,2,5,8],[3,4],[6,7]]=>11
[8,2,3,6,4,1,5,7]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[8,4,3,6,2,1,5,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[6,2,3,8,4,1,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>12
[8,4,2,3,6,1,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[6,4,2,3,8,1,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[2,6,4,3,8,1,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[2,8,4,3,6,1,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[2,6,3,8,4,1,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>11
[6,3,8,4,2,1,5,7]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[2,6,3,8,1,4,5,7]=>[[1,2,4,7,8],[3,6],[5]]=>14
[2,8,3,6,1,4,5,7]=>[[1,2,4,7,8],[3,6],[5]]=>14
[8,3,6,4,2,1,5,7]=>[[1,3,7,8],[2],[4],[5],[6]]=>18
[2,8,3,6,4,1,5,7]=>[[1,2,4,7,8],[3],[5],[6]]=>13
[8,3,6,2,4,1,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[8,3,6,2,1,4,5,7]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[6,2,1,3,8,4,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>11
[8,2,1,3,6,4,5,7]=>[[1,4,5,7,8],[2,6],[3]]=>11
[6,3,8,2,4,1,5,7]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[6,2,4,3,8,1,5,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[3,6,4,7,8,5,1,2]=>[[1,2,4,5],[3,6],[7,8]]=>11
[1,6,4,2,7,5,8,3]=>[[1,2,5,7],[3,6],[4,8]]=>12
[3,6,4,2,7,1,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[1,4,7,2,5,6,8,3]=>[[1,2,3,6,7],[4,5],[8]]=>7
[6,4,8,5,3,7,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[1,6,5,4,2,7,8,3]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[4,2,5,3,6,1,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>16
[7,1,5,3,6,2,8,4]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[1,6,5,2,4,8,7,3]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[1,4,6,2,8,5,7,3]=>[[1,2,3,5],[4,6,7],[8]]=>9
[7,8,1,4,2,5,6,3]=>[[1,2,6,7],[3,4],[5,8]]=>9
[3,4,8,5,2,1,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[4,8,5,3,1,6,2,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[6,1,3,5,8,2,7,4]=>[[1,3,4,5],[2,7],[6,8]]=>14
[6,1,8,7,4,2,3,5]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[1,2,8,5,7,3,6,4]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[1,3,6,8,7,5,2,4]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[1,8,2,5,4,7,6,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[7,1,2,4,5,8,6,3]=>[[1,3,4,5,6],[2,7],[8]]=>10
[1,2,7,3,5,8,6,4]=>[[1,2,3,5,6],[4,7],[8]]=>8
[6,1,3,2,5,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>14
[4,6,2,1,7,5,3,8]=>[[1,2,5,8],[3,6],[4,7]]=>11
[1,6,3,7,8,5,2,4]=>[[1,2,4,5],[3,6],[7,8]]=>11
[4,6,2,3,7,8,1,5]=>[[1,2,5,6],[3,4,8],[7]]=>10
[4,6,3,7,1,2,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>15
[4,2,1,3,5,7,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>9
[7,3,2,4,5,1,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[3,8,2,5,4,1,7,6]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[7,8,4,2,6,3,1,5]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[4,2,6,3,8,7,1,5]=>[[1,3,5],[2,4,6],[7,8]]=>17
[5,8,2,7,4,3,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[4,3,8,5,1,7,2,6]=>[[1,3,6],[2,4,8],[5,7]]=>17
[4,3,6,8,1,2,7,5]=>[[1,3,4],[2,6,7],[5,8]]=>16
[6,4,3,5,2,8,1,7]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[6,5,3,8,4,2,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[1,8,6,7,5,3,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[1,5,8,7,2,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[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]]=>15
[6,4,1,8,2,5,7,3]=>[[1,4,6,7],[2,5],[3,8]]=>14
[2,8,6,1,3,5,4,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[4,1,3,6,5,8,7,2]=>[[1,3,4,6],[2,5,7],[8]]=>14
[2,1,6,3,5,8,7,4]=>[[1,3,5,6],[2,4,7],[8]]=>15
[2,4,1,3,8,5,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>11
[2,4,1,3,5,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>9
[2,6,1,3,5,8,7,4]=>[[1,2,5,6],[3,4,7],[8]]=>9
[4,6,1,3,5,8,7,2]=>[[1,2,5,6],[3,4,7],[8]]=>9
[6,1,4,3,5,8,7,2]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[6,4,1,3,5,8,7,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[6,2,1,3,5,8,7,4]=>[[1,4,5,6],[2,7],[3,8]]=>11
[4,2,1,3,6,5,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>11
[4,2,1,6,3,5,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[6,2,1,8,3,5,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>14
[6,2,1,3,8,5,7,4]=>[[1,4,5,7],[2,6],[3,8]]=>13
[6,1,4,3,8,5,7,2]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[1,6,4,3,8,5,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[8,1,4,3,6,5,7,2]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[8,4,1,3,6,5,7,2]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[8,2,1,3,6,5,7,4]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[8,2,1,6,3,5,7,4]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[8,2,1,4,3,5,7,6]=>[[1,4,6,7],[2,5,8],[3]]=>13
[6,2,1,4,3,5,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[8,2,4,1,3,5,7,6]=>[[1,3,6,7],[2,5,8],[4]]=>18
[8,2,6,1,3,5,7,4]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[8,4,6,1,3,5,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[8,4,1,6,3,5,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[8,1,4,6,3,5,7,2]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[1,8,4,6,3,5,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[1,6,4,8,3,5,7,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[6,4,1,8,3,5,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[6,4,8,1,3,5,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[6,2,8,1,3,5,7,4]=>[[1,3,6,7],[2,5],[4,8]]=>19
[4,2,8,1,3,5,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>19
[2,6,8,1,3,5,7,4]=>[[1,2,3,7],[4,5,6],[8]]=>7
[4,6,8,1,3,5,7,2]=>[[1,2,3,7],[4,5,6],[8]]=>7
[4,6,1,8,3,5,7,2]=>[[1,2,4,7],[3,5,6],[8]]=>12
[4,1,6,8,3,5,7,2]=>[[1,3,4,7],[2,5,6],[8]]=>13
[1,4,6,3,8,5,7,2]=>[[1,2,3,5],[4,6,7],[8]]=>9
[4,6,1,3,8,5,7,2]=>[[1,2,5,7],[3,4,6],[8]]=>11
[2,4,1,8,3,5,7,6]=>[[1,2,4,7],[3,5,6],[8]]=>12
[2,1,6,8,3,5,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>13
[4,1,3,6,8,5,7,2]=>[[1,3,4,5],[2,6,7],[8]]=>11
[1,4,3,6,8,5,7,2]=>[[1,2,4,5],[3,6,7],[8]]=>10
[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]]=>19
[2,1,6,4,3,5,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[2,6,1,4,3,5,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>7
[2,8,1,4,3,5,7,6]=>[[1,2,6,7],[3,4,8],[5]]=>8
[2,8,1,6,3,5,7,4]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[4,8,1,3,6,5,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[1,4,8,3,6,5,7,2]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[1,4,8,6,3,5,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[4,1,8,6,3,5,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[4,8,1,6,3,5,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[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]]=>12
[2,6,4,1,3,5,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>11
[4,6,2,1,3,5,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>11
[6,8,1,4,3,5,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[6,1,8,4,3,5,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[1,6,8,4,3,5,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[1,8,6,4,3,5,7,2]=>[[1,2,6,7],[3],[4],[5],[8]]=>13
[8,1,6,4,3,5,7,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>19
[8,6,1,4,3,5,7,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>18
[8,6,4,1,3,5,7,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[8,6,2,1,3,5,7,4]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[8,4,2,1,3,5,7,6]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[7,8,6,5,2,1,4,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>15
[5,7,4,1,8,6,3,2]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[5,6,4,2,8,3,7,1]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[5,6,4,2,7,3,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[5,7,1,4,6,3,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[5,8,1,4,6,3,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[3,6,7,4,5,8,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[3,5,7,4,6,8,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[6,8,4,1,7,2,5,3]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[5,4,6,1,7,8,3,2]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[5,6,4,1,8,7,3,2]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[3,5,8,4,6,7,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[3,6,8,4,5,7,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[3,7,8,4,5,6,2,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[6,8,1,4,5,3,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[6,7,1,4,5,3,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[3,7,1,5,4,6,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[3,8,1,5,4,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[3,7,1,5,4,6,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[6,7,1,4,5,3,8,2]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[5,7,1,4,6,3,8,2]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[5,6,4,2,7,3,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[5,4,7,2,8,3,1,6]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[5,4,7,2,8,3,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[5,6,4,2,8,3,1,7]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[5,8,1,4,6,3,2,7]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[3,8,1,5,4,6,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[3,6,1,5,4,2,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[3,6,1,5,4,8,2,7]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[6,8,3,1,4,2,5,7]=>[[1,2,7,8],[3,5],[4,6]]=>12
[7,3,8,1,4,2,5,6]=>[[1,3,7,8],[2,5],[4,6]]=>18
[6,7,3,1,4,2,8,5]=>[[1,2,7],[3,5,8],[4,6]]=>13
[3,6,1,5,4,7,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[3,4,1,2,7,6,5,8]=>[[1,2,5,8],[3,4,6],[7]]=>10
[3,4,1,2,6,8,7,5]=>[[1,2,5,6],[3,4,7],[8]]=>9
[6,8,3,1,4,7,2,5]=>[[1,2,6],[3,5,8],[4,7]]=>15
[6,4,7,2,8,5,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[5,8,1,4,7,3,2,6]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[7,8,1,4,5,3,2,6]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[3,8,1,5,4,7,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[3,6,1,5,4,8,7,2]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[3,6,1,5,4,7,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[6,7,3,1,4,2,5,8]=>[[1,2,7,8],[3,5],[4,6]]=>12
[6,8,3,1,4,2,7,5]=>[[1,2,7],[3,5,8],[4,6]]=>13
[7,8,3,1,4,6,2,5]=>[[1,2,6],[3,5,8],[4,7]]=>15
[7,8,4,2,6,5,1,3]=>[[1,2],[3,5],[4,6],[7,8]]=>16
[6,5,8,7,3,4,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[7,8,3,1,4,6,5,2]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[6,7,3,1,4,5,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>14
[3,7,1,5,4,2,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[3,8,1,5,4,2,7,6]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[5,8,1,4,7,3,6,2]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[6,8,4,2,7,5,3,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[6,4,7,2,8,5,3,1]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[6,3,7,1,4,8,5,2]=>[[1,3,6],[2,5,7],[4,8]]=>20
[6,8,3,1,4,7,5,2]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[3,7,1,5,4,8,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[3,4,1,2,8,5,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>11
[3,4,1,2,5,8,7,6]=>[[1,2,5,6],[3,4,7],[8]]=>9
[3,7,1,5,4,2,8,6]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[6,7,3,1,4,5,8,2]=>[[1,2,6,7],[3,5],[4,8]]=>13
[7,3,8,1,4,5,2,6]=>[[1,3,6,8],[2,5],[4,7]]=>20
[7,3,8,1,4,5,6,2]=>[[1,3,6,7],[2,5],[4,8]]=>19
[6,8,3,1,4,5,2,7]=>[[1,2,6,8],[3,5],[4,7]]=>14
[3,8,1,5,4,2,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[8,7,6,3,5,2,1,4]=>[[1,5],[2,8],[3],[4],[6],[7]]=>21
[8,7,4,6,3,2,1,5]=>[[1,4],[2,8],[3],[5],[6],[7]]=>22
[8,5,7,4,3,2,1,6]=>[[1,3],[2,8],[4],[5],[6],[7]]=>23
[8,7,6,2,5,4,1,3]=>[[1,5],[2,8],[3],[4],[6],[7]]=>21
[8,5,4,7,3,2,1,6]=>[[1,4],[2,8],[3],[5],[6],[7]]=>22
[8,7,3,6,5,2,1,4]=>[[1,4],[2,8],[3],[5],[6],[7]]=>22
[6,5,8,4,3,2,1,7]=>[[1,3],[2,8],[4],[5],[6],[7]]=>23
[8,4,7,6,3,2,1,5]=>[[1,3],[2,8],[4],[5],[6],[7]]=>23
[5,8,7,4,3,2,1,6]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[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]]=>12
[4,8,2,6,3,5,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[4,1,7,2,5,8,6,3]=>[[1,3,5,6],[2,4,7],[8]]=>15
[1,6,2,5,8,4,3,7]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[7,3,1,6,8,5,2,4]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[5,2,7,1,8,6,3,4]=>[[1,3,5],[2,6,8],[4,7]]=>18
[6,5,2,8,1,7,3,4]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[2,8,3,5,1,7,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>13
[5,4,3,8,7,1,6,2]=>[[1,4],[2,5],[3,7],[6,8]]=>19
[8,5,4,3,7,2,6,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[8,3,7,4,2,6,5,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[2,8,6,5,1,7,4,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[6,3,2,8,4,1,7,5]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[2,8,3,4,1,7,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>13
[5,4,2,8,3,1,7,6]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[2,8,4,3,1,7,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[2,8,5,3,1,7,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[2,8,6,4,1,7,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[3,8,7,5,1,6,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[8,3,7,5,2,6,4,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[8,4,7,6,2,5,3,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>25
[4,8,7,6,1,5,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>19
[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]]=>17
[7,3,8,4,2,1,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[7,5,4,3,8,2,1,6]=>[[1,5],[2,8],[3],[4],[6],[7]]=>21
[3,7,8,4,1,2,6,5]=>[[1,2,3],[4,6,7],[5,8]]=>10
[3,7,8,5,1,2,6,4]=>[[1,2,3],[4,6,7],[5,8]]=>10
[4,7,8,6,1,2,5,3]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[8,7,4,6,3,5,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>24
[5,7,8,6,1,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[6,4,7,8,3,1,2,5]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[7,3,4,8,2,1,5,6]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[7,6,4,8,3,2,1,5]=>[[1,4],[2,8],[3],[5],[6],[7]]=>22
[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]]=>11
[6,3,2,4,8,1,5,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[2,3,8,4,1,6,7,5]=>[[1,2,3,6,7],[4,8],[5]]=>7
[2,3,8,5,1,6,7,4]=>[[1,2,3,6,7],[4,8],[5]]=>7
[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]]=>23
[8,3,4,7,2,5,6,1]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[3,4,8,7,1,5,6,2]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[2,4,8,6,1,5,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[2,5,8,6,1,4,7,3]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[8,3,5,7,2,4,6,1]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[8,4,6,7,2,3,5,1]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[4,6,8,7,1,3,5,2]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[2,6,8,5,1,3,7,4]=>[[1,2,3],[4,6,7],[5,8]]=>10
[2,6,8,4,1,3,7,5]=>[[1,2,3],[4,6,7],[5,8]]=>10
[2,5,8,3,1,4,7,6]=>[[1,2,3,7],[4,6],[5,8]]=>11
[5,6,8,7,1,3,4,2]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[7,4,6,8,2,1,3,5]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[2,3,5,4,1,8,6,7]=>[[1,2,3,6,8],[4,7],[5]]=>8
[2,3,6,4,8,1,5,7]=>[[1,2,3,5,8],[4,7],[6]]=>11
[1,8,4,6,3,5,2,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[5,4,8,6,2,1,3,7]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[2,3,6,8,1,5,4,7]=>[[1,2,3,4],[5,6,8],[7]]=>6
[2,5,6,1,4,7,8,3]=>[[1,2,3,6,7],[4,5],[8]]=>7
[2,5,6,1,4,7,3,8]=>[[1,2,3,6,8],[4,5],[7]]=>8
[7,3,5,1,6,8,4,2]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[2,7,6,1,8,5,4,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[2,7,6,8,1,4,5,3]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[1,8,7,6,3,2,5,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[1,8,7,6,3,2,4,5]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[5,7,8,6,2,3,4,1]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[2,7,6,1,8,5,3,4]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[6,3,5,1,7,2,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>16
[2,3,4,7,6,1,5,8]=>[[1,2,3,4,8],[5,7],[6]]=>7
[7,3,5,8,4,1,2,6]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[1,8,4,5,2,7,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>13
[1,8,4,5,2,7,6,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[7,3,5,8,4,1,6,2]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[2,7,6,4,8,5,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[7,3,5,4,6,8,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[6,3,5,4,7,1,8,2]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[6,3,5,4,7,1,2,8]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[3,4,1,5,6,8,7,2]=>[[1,2,4,5,6],[3,7],[8]]=>9
[3,7,1,6,8,5,2,4]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[2,3,1,8,6,4,7,5]=>[[1,2,4,7],[3,5,8],[6]]=>12
[1,8,4,3,6,2,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[2,3,1,8,6,4,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>11
[3,7,1,6,8,5,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[6,3,5,4,7,2,1,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>21
[7,3,5,4,6,8,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>20
[2,7,6,4,8,5,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[1,8,4,5,2,6,3,7]=>[[1,2,4,6,8],[3,7],[5]]=>13
[6,4,8,5,3,1,2,7]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[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]]=>8
[2,3,4,7,5,1,8,6]=>[[1,2,3,4,7],[5,8],[6]]=>6
[2,3,4,7,5,1,6,8]=>[[1,2,3,4,7,8],[5],[6]]=>5
[2,3,4,7,1,6,5,8]=>[[1,2,3,4,8],[5,6],[7]]=>5
[2,3,4,7,1,6,8,5]=>[[1,2,3,4,7],[5,6],[8]]=>6
[2,3,4,6,1,8,7,5]=>[[1,2,3,4,6],[5,7],[8]]=>7
[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]]=>18
[1,8,4,5,2,3,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>14
[7,4,8,5,3,2,6,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[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]]=>15
[1,5,7,4,6,3,2,8]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[5,2,8,4,6,3,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[3,8,5,4,6,7,2,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[6,8,3,4,5,7,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[2,5,7,4,6,3,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[5,4,1,7,8,3,2,6]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[5,4,2,7,8,3,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[5,1,4,6,8,3,2,7]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[5,1,8,4,6,3,2,7]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[8,1,6,4,5,3,2,7]=>[[1,3,5,8],[2],[4],[6],[7]]=>21
[8,1,3,5,4,6,2,7]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[8,1,6,2,4,3,5,7]=>[[1,3,5,7,8],[2],[4],[6]]=>18
[8,7,1,2,4,3,5,6]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[1,7,6,2,4,3,5,8]=>[[1,2,5,7,8],[3],[4],[6]]=>12
[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]]=>16
[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]]=>13
[8,7,2,4,5,3,6,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>17
[5,8,2,4,7,3,6,1]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[6,8,3,2,4,7,5,1]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[8,7,1,3,4,5,2,6]=>[[1,4,5,6,8],[2],[3],[7]]=>12
[8,1,6,3,4,5,2,7]=>[[1,3,5,6,8],[2],[4],[7]]=>17
[8,1,2,5,4,3,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[3,4,8,7,5,2,6,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>12
[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]]=>13
[8,7,3,6,4,2,5,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>22
[3,8,7,2,5,4,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[8,7,2,4,5,6,3,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>15
[5,3,6,2,4,8,7,1]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[3,5,2,8,6,1,4,7]=>[[1,2,4,8],[3,5],[6,7]]=>12
[3,7,2,5,1,4,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>9
[5,1,8,6,2,3,4,7]=>[[1,3,6,7,8],[2,4],[5]]=>13
[2,5,4,1,8,6,3,7]=>[[1,2,5,8],[3,6],[4,7]]=>11
[3,7,6,1,8,2,5,4]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[7,6,3,1,8,2,4,5]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[8,2,3,6,1,4,7,5]=>[[1,3,4,7],[2,6,8],[5]]=>16
[1,8,2,6,3,4,7,5]=>[[1,2,4,6,7],[3,8],[5]]=>12
[8,1,3,6,4,7,2,5]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[7,1,3,6,4,8,2,5]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[8,2,1,3,5,7,4,6]=>[[1,4,5,6],[2,7,8],[3]]=>10
[8,2,6,3,1,4,7,5]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[7,5,4,1,3,8,2,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[2,7,5,8,3,4,1,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[7,3,8,5,4,1,2,6]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[7,2,3,6,1,4,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>16
[1,3,7,2,5,8,4,6]=>[[1,2,3,6],[4,5,8],[7]]=>9
[1,7,2,3,5,8,4,6]=>[[1,2,4,5,6],[3,8],[7]]=>10
[7,4,8,1,3,6,2,5]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[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]]=>17
[2,6,3,7,1,4,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>15
[2,6,3,8,1,4,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>16
[7,5,4,8,1,3,2,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[8,5,4,7,1,3,2,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[2,3,1,8,5,4,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>11
[8,6,5,1,3,4,2,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[8,5,1,7,6,3,4,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[3,4,7,6,1,8,5,2]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[3,5,2,6,7,1,8,4]=>[[1,2,4,5,7],[3,8],[6]]=>11
[3,2,8,4,7,5,1,6]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[8,4,7,5,1,3,2,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[3,8,1,6,5,2,7,4]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[6,1,2,8,3,4,7,5]=>[[1,3,4,6,7],[2,5],[8]]=>13
[6,8,3,1,7,2,4,5]=>[[1,2,7,8],[3,5],[4,6]]=>12
[3,7,2,5,6,1,8,4]=>[[1,2,5,7],[3,4],[6,8]]=>12
[6,8,4,2,5,1,7,3]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[2,7,5,3,8,4,1,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[8,3,1,4,7,2,6,5]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[8,3,2,1,5,7,4,6]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[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]]=>20
[8,3,6,4,7,1,2,5]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[1,2,8,3,5,7,4,6]=>[[1,2,3,5,6],[4,8],[7]]=>9
[1,8,3,2,5,7,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>9
[6,5,1,7,4,2,8,3]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[7,3,6,4,8,2,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[4,6,1,7,3,5,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>11
[5,6,1,7,3,4,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>11
[6,1,7,3,4,2,8,5]=>[[1,3,5,7],[2,4,8],[6]]=>17
[7,3,8,1,6,5,2,4]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[8,3,7,1,6,5,2,4]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[5,1,7,4,2,8,6,3]=>[[1,3,6],[2,4,7],[5,8]]=>16
[2,8,1,7,6,5,3,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[4,2,8,6,5,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[6,4,2,8,5,1,7,3]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[8,6,4,7,1,5,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[7,6,4,8,1,5,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[5,1,6,4,2,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>14
[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]]=>16
[2,4,3,8,1,6,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>16
[2,4,3,7,1,6,8,5]=>[[1,2,4,7],[3,6],[5,8]]=>16
[4,2,3,7,8,5,1,6]=>[[1,3,4,5],[2,6,8],[7]]=>12
[5,1,6,4,2,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[6,4,7,8,1,5,2,3]=>[[1,3,4],[2,6,8],[5,7]]=>17
[8,7,4,6,1,5,2,3]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[6,5,7,8,1,4,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[4,7,8,6,1,5,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[3,2,4,7,8,1,5,6]=>[[1,3,4,5],[2,7,8],[6]]=>13
[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]]=>15
[5,8,7,6,1,4,2,3]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[8,6,5,7,1,4,2,3]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[5,1,6,7,4,2,3,8]=>[[1,3,4,8],[2,5,7],[6]]=>14
[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]]=>21
[8,3,2,4,7,1,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[7,3,2,4,8,1,5,6]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[2,5,3,7,1,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>15
[8,4,6,7,1,5,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[7,4,6,8,1,5,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[5,1,6,8,4,2,3,7]=>[[1,3,4,8],[2,5,7],[6]]=>14
[4,2,3,7,5,1,6,8]=>[[1,3,4,7,8],[2,5],[6]]=>12
[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]]=>15
[2,4,7,1,5,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>8
[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]]=>17
[8,5,6,7,1,4,2,3]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[8,6,7,5,1,4,2,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[7,6,8,5,1,4,2,3]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[6,8,7,5,1,4,2,3]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[5,6,8,7,1,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[4,6,8,7,1,5,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[2,4,6,7,1,5,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>6
[3,2,4,6,1,5,7,8]=>[[1,3,4,7,8],[2,6],[5]]=>15
[6,7,8,5,1,4,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[7,8,6,5,1,4,2,3]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[3,1,7,5,4,2,8,6]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[2,1,8,5,4,6,3,7]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[4,1,8,5,2,3,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>13
[5,4,1,3,6,7,2,8]=>[[1,4,5,6,8],[2],[3],[7]]=>12
[8,4,1,2,6,3,7,5]=>[[1,4,5,7],[2,6,8],[3]]=>12
[8,2,7,1,5,3,4,6]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[3,2,7,1,5,8,4,6]=>[[1,3,6],[2,5,8],[4,7]]=>21
[6,3,7,1,5,4,2,8]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[7,3,8,1,5,4,2,6]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[7,1,5,3,8,4,2,6]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[4,5,1,3,6,8,2,7]=>[[1,2,5,6],[3,4,8],[7]]=>10
[3,6,8,1,5,4,2,7]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[6,8,3,1,5,4,2,7]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[7,6,3,1,5,4,2,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[3,6,2,1,5,8,4,7]=>[[1,2,6],[3,5,8],[4,7]]=>15
[8,6,2,1,5,3,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[4,8,2,1,7,5,3,6]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[2,3,8,1,5,7,4,6]=>[[1,2,3,6],[4,5,8],[7]]=>9
[7,1,3,2,8,6,4,5]=>[[1,3,5,8],[2,6],[4,7]]=>17
[7,1,6,2,8,3,4,5]=>[[1,3,5,7,8],[2,6],[4]]=>16
[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]]=>8
[6,7,2,1,5,3,4,8]=>[[1,2,7,8],[3,5],[4,6]]=>12
[4,7,2,1,8,5,3,6]=>[[1,2,5],[3,6,8],[4,7]]=>12
[8,7,2,1,4,5,3,6]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[8,7,5,6,1,4,3,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>24
[5,7,8,6,1,4,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[2,7,4,1,6,5,3,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[3,7,1,4,5,6,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>8
[7,1,6,4,5,8,3,2]=>[[1,3,5,6],[2],[4],[7],[8]]=>20
[3,5,1,4,7,6,8,2]=>[[1,2,5,7],[3,4,6],[8]]=>11
[2,6,4,1,7,5,3,8]=>[[1,2,5,8],[3,6],[4,7]]=>11
[5,6,8,7,1,4,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[6,8,5,7,1,4,3,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>13
[8,6,5,7,1,4,3,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>24
[8,5,7,6,1,4,3,2]=>[[1,3],[2,6],[4],[5],[7],[8]]=>25
[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]]=>15
[4,2,8,1,6,5,3,7]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[6,2,4,1,8,5,3,7]=>[[1,3,5,8],[2,6],[4,7]]=>17
[8,3,1,4,5,6,7,2]=>[[1,4,5,6,7],[2,8],[3]]=>9
[5,3,1,4,8,6,7,2]=>[[1,4,5,7],[2,6],[3,8]]=>13
[7,5,1,6,3,4,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[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]]=>13
[5,3,1,8,4,6,7,2]=>[[1,4,6,7],[2,5],[3,8]]=>14
[8,3,1,5,4,6,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[8,2,6,1,4,5,3,7]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[6,2,8,1,4,5,3,7]=>[[1,3,6,8],[2,5],[4,7]]=>20
[7,2,6,1,5,3,4,8]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[2,8,6,1,5,3,4,7]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[4,2,1,5,6,3,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>12
[7,1,2,5,8,3,4,6]=>[[1,3,4,5,8],[2,7],[6]]=>13
[7,1,4,5,6,8,3,2]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[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]]=>25
[6,8,7,5,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>19
[2,6,7,1,4,5,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>6
[3,5,1,7,4,6,8,2]=>[[1,2,4,7],[3,5,6],[8]]=>12
[7,1,5,6,4,8,3,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[7,1,6,5,4,8,3,2]=>[[1,3,6],[2],[4],[5],[7],[8]]=>24
[2,7,6,1,4,5,3,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[5,7,6,8,1,4,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[7,8,6,5,1,4,3,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>19
[4,3,1,6,5,8,7,2]=>[[1,4,6],[2,5,7],[3,8]]=>15
[5,3,1,2,4,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>11
[5,3,6,2,1,8,7,4]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[5,3,7,2,1,4,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[5,3,7,2,8,4,1,6]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[7,2,4,5,8,3,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[7,2,4,5,1,3,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>15
[6,2,4,5,1,8,7,3]=>[[1,3,4,6],[2,7],[5,8]]=>15
[3,1,4,5,2,8,7,6]=>[[1,3,4,6],[2,5,7],[8]]=>14
[1,6,4,5,2,8,7,3]=>[[1,2,4,6],[3,7],[5,8]]=>14
[3,7,4,5,1,2,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[3,7,4,5,8,2,1,6]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[1,7,4,2,6,3,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>10
[8,7,4,5,2,1,6,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[6,3,7,1,8,4,2,5]=>[[1,3,5],[2,6,8],[4,7]]=>18
[5,7,4,1,6,3,2,8]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[1,7,4,8,6,3,2,5]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[5,7,4,8,6,3,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[4,8,3,5,6,7,1,2]=>[[1,2,5,6],[3,4],[7,8]]=>10
[1,8,3,5,6,7,2,4]=>[[1,2,4,5,6],[3,8],[7]]=>10
[4,8,1,5,6,7,2,3]=>[[1,2,5,6],[3,4,8],[7]]=>10
[4,1,3,5,6,7,2,8]=>[[1,3,4,5,6,8],[2],[7]]=>10
[5,8,4,3,6,1,2,7]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[5,3,8,4,1,7,2,6]=>[[1,3,6],[2,4,8],[5,7]]=>17
[1,5,8,4,6,7,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[1,4,8,3,6,7,5,2]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[4,3,8,2,1,7,5,6]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[3,8,4,2,6,1,5,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[1,8,2,5,6,7,4,3]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[3,8,1,5,6,7,4,2]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[3,8,2,5,6,7,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>10
[8,2,1,5,6,7,4,3]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[8,1,3,5,6,7,4,2]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[7,1,4,3,6,2,5,8]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[7,8,4,3,6,2,1,5]=>[[1,2],[3,5],[4,8],[6],[7]]=>18
[4,3,1,8,5,7,6,2]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[4,3,1,6,8,7,5,2]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[6,3,1,8,2,7,4,5]=>[[1,4,6,8],[2,5],[3,7]]=>15
[6,3,5,8,2,7,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[7,5,4,8,6,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[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]]=>13
[7,6,4,5,8,1,3,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[1,6,4,5,8,2,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>12
[7,3,6,1,8,2,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>16
[1,7,6,5,8,3,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[1,8,5,3,6,7,4,2]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[8,3,5,2,1,7,4,6]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[8,4,1,5,6,7,3,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[8,4,2,5,6,7,1,3]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[4,1,8,5,6,7,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[1,2,8,5,6,7,3,4]=>[[1,2,3,5,6],[4,8],[7]]=>9
[4,2,1,5,6,7,3,8]=>[[1,4,5,6,8],[2,7],[3]]=>10
[1,5,3,8,6,7,4,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[1,4,5,8,6,7,3,2]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[4,3,5,8,1,7,2,6]=>[[1,3,4],[2,6,8],[5,7]]=>17
[3,5,4,8,6,1,2,7]=>[[1,2,4,8],[3,5],[6,7]]=>12
[1,4,8,5,6,7,2,3]=>[[1,2,3,5,6],[4,8],[7]]=>9
[3,4,8,5,6,7,1,2]=>[[1,2,3,5,6],[4,8],[7]]=>9
[2,7,1,5,6,3,4,8]=>[[1,2,5,8],[3,4,7],[6]]=>12
[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]]=>20
[2,6,3,1,4,5,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>8
[3,7,1,4,2,6,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>8
[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]]=>10
[8,5,2,6,7,3,1,4]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[8,4,2,6,3,7,1,5]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[8,4,2,3,5,7,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[4,7,3,2,5,6,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[5,3,4,6,2,8,1,7]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[5,3,7,4,2,8,1,6]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[6,4,7,2,3,8,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[6,5,7,2,8,3,1,4]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[5,3,7,2,4,8,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[2,6,5,1,8,3,4,7]=>[[1,2,5,8],[3,6,7],[4]]=>10
[8,7,6,1,4,5,2,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[8,7,6,1,3,2,5,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[8,7,2,4,3,1,6,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[8,7,4,5,1,6,2,3]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[8,5,6,4,1,7,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[8,5,6,3,1,2,7,4]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[8,4,6,2,3,1,7,5]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[8,3,5,4,2,1,7,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[5,7,3,4,2,1,8,6]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[6,7,4,2,3,1,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[6,7,5,3,1,2,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[6,7,5,4,1,8,2,3]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[7,3,5,4,1,8,6,2]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[2,6,5,7,3,1,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[6,3,2,4,7,5,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[4,2,1,6,3,7,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>14
[4,2,1,6,3,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>13
[4,2,1,3,7,8,6,5]=>[[1,4,5,6],[2,7],[3,8]]=>11
[5,8,1,7,4,3,2,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[4,2,1,8,3,5,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>12
[4,2,1,6,3,8,7,5]=>[[1,4,6],[2,5,7],[3,8]]=>15
[7,3,4,2,6,8,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[3,6,7,5,2,4,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[3,6,7,5,2,4,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[4,2,1,7,3,6,5,8]=>[[1,4,6,8],[2,5],[3,7]]=>15
[3,7,6,8,4,2,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[5,8,1,7,4,2,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[3,7,8,6,2,4,5,1]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[4,2,1,3,5,8,6,7]=>[[1,4,5,6,8],[2,7],[3]]=>10
[4,2,1,8,3,7,6,5]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[2,6,1,5,4,7,8,3]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[4,6,3,5,8,7,1,2]=>[[1,2,5],[3,4,6],[7,8]]=>11
[3,5,6,1,4,8,7,2]=>[[1,2,3,6],[4,5,7],[8]]=>8
[2,7,5,1,8,3,4,6]=>[[1,2,5,8],[3,6,7],[4]]=>10
[4,7,5,2,1,3,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[3,5,6,2,4,1,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[2,5,6,1,4,8,3,7]=>[[1,2,3,6],[4,5,8],[7]]=>9
[6,7,8,4,1,5,3,2]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[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]]=>21
[7,1,5,6,4,2,3,8]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[5,7,4,6,8,1,3,2]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[5,7,8,1,4,6,3,2]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[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]]=>15
[6,1,8,4,7,5,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[4,5,8,6,1,7,3,2]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[4,8,5,1,6,7,3,2]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[8,1,4,5,6,7,3,2]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[5,6,7,1,4,2,3,8]=>[[1,2,3,8],[4,5,7],[6]]=>8
[8,4,2,6,1,5,7,3]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[4,8,5,2,1,6,7,3]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[5,1,8,4,2,6,3,7]=>[[1,3,6,8],[2,4],[5,7]]=>16
[1,8,4,6,2,5,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[6,1,5,2,3,4,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>13
[8,3,1,4,6,2,5,7]=>[[1,4,5,8],[2,6,7],[3]]=>11
[3,1,8,2,5,6,4,7]=>[[1,3,5,6,8],[2,4],[7]]=>15
[3,5,1,8,2,6,4,7]=>[[1,2,4,8],[3,5,6],[7]]=>11
[3,5,1,2,8,4,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>11
[2,3,5,8,6,1,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>6
[8,2,4,3,6,7,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[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]]=>14
[6,2,1,8,4,7,5,3]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[2,8,7,1,4,6,5,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[8,2,7,1,5,4,6,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[7,2,5,3,6,8,1,4]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[7,3,1,5,6,2,4,8]=>[[1,4,5,8],[2,6,7],[3]]=>11
[3,7,5,1,6,2,4,8]=>[[1,2,5,8],[3,6,7],[4]]=>10
[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]]=>19
[1,8,7,2,3,6,5,4]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[1,7,8,2,6,4,3,5]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[1,7,3,8,2,6,4,5]=>[[1,2,4,8],[3,6],[5,7]]=>15
[1,2,7,3,6,4,5,8]=>[[1,2,3,5,7,8],[4],[6]]=>9
[7,1,5,8,3,2,4,6]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[1,6,2,8,4,3,7,5]=>[[1,2,4,7],[3,5],[6,8]]=>13
[1,3,8,7,2,4,6,5]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[1,8,3,7,2,5,4,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[8,1,4,7,3,2,5,6]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[4,7,8,1,3,2,5,6]=>[[1,2,3,8],[4,5,7],[6]]=>8
[7,1,4,2,3,5,6,8]=>[[1,3,5,6,7,8],[2],[4]]=>13
[8,2,1,4,7,3,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>11
[2,1,3,8,4,6,7,5]=>[[1,3,4,6,7],[2,5],[8]]=>13
[1,2,3,4,8,5,7,6]=>[[1,2,3,4,5,7],[6],[8]]=>5
[2,4,7,5,6,8,3,1]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[2,4,8,7,5,6,3,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>13
[2,5,3,8,4,7,6,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[2,8,5,7,3,6,4,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[3,1,8,5,2,7,6,4]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[2,8,6,3,4,5,7,1]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[2,5,7,3,4,8,6,1]=>[[1,2,3,6],[4,5,7],[8]]=>8
[8,3,7,6,1,4,5,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[3,1,7,8,2,5,6,4]=>[[1,3,4,7],[2,5,6],[8]]=>13
[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]]=>9
[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]]=>14
[4,3,6,8,7,5,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[5,4,1,8,2,7,6,3]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[6,4,8,1,2,5,3,7]=>[[1,3,6,8],[2,5],[4,7]]=>20
[6,7,3,1,4,8,5,2]=>[[1,2,6],[3,5,7],[4,8]]=>14
[5,4,1,6,8,2,7,3]=>[[1,4,5],[2,6,7],[3,8]]=>12
[5,4,7,1,2,8,6,3]=>[[1,3,6],[2,5,7],[4,8]]=>20
[6,7,4,1,2,8,3,5]=>[[1,2,6,8],[3,5,7],[4]]=>13
[6,5,1,2,3,7,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>9
[6,5,1,2,3,4,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>9
[6,7,4,1,2,5,3,8]=>[[1,2,6,8],[3,5],[4,7]]=>14
[2,4,6,3,5,7,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,4,6,3,7,2,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>11
[8,6,2,5,3,1,7,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[8,2,3,4,5,1,7,6]=>[[1,3,4,5,7],[2,8],[6]]=>12
[1,8,3,4,2,7,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>13
[2,8,3,4,1,6,7,5]=>[[1,2,4,6,7],[3,8],[5]]=>12
[8,7,2,3,1,6,5,4]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[3,8,2,4,6,1,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>12
[7,8,2,4,3,1,6,5]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[4,5,8,2,3,1,7,6]=>[[1,2,3],[4,5,7],[6,8]]=>9
[5,1,4,3,7,2,6,8]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[6,1,3,5,7,2,4,8]=>[[1,3,4,5,8],[2,7],[6]]=>13
[2,1,4,7,5,3,6,8]=>[[1,3,4,7,8],[2,5],[6]]=>12
[7,1,3,6,2,5,4,8]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[8,1,3,6,2,4,7,5]=>[[1,3,4,7],[2,6,8],[5]]=>16
[2,1,8,3,7,5,4,6]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[7,1,8,2,5,6,3,4]=>[[1,3,5,6],[2,4],[7,8]]=>16
[6,1,5,8,2,7,3,4]=>[[1,3,4,8],[2,6],[5,7]]=>16
[4,5,2,8,1,6,7,3]=>[[1,2,4,7],[3,6],[5,8]]=>16
[6,2,5,8,1,4,7,3]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[3,2,8,5,1,6,7,4]=>[[1,3,6,7],[2,4],[5,8]]=>15
[8,2,7,1,4,6,5,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[1,3,8,2,5,7,4,6]=>[[1,2,3,6],[4,5,8],[7]]=>9
[2,8,7,1,6,4,5,3]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[3,8,7,1,5,6,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[3,4,8,5,6,1,7,2]=>[[1,2,3,5,7],[4,8],[6]]=>10
[8,3,7,4,1,6,5,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[1,4,8,6,2,7,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>8
[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]]=>8
[6,2,3,1,5,4,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>16
[7,2,3,1,4,6,5,8]=>[[1,3,5,6,8],[2,7],[4]]=>15
[8,2,3,1,4,5,7,6]=>[[1,3,5,6,7],[2,8],[4]]=>14
[8,5,1,3,2,4,7,6]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[7,5,1,3,2,6,4,8]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[2,6,1,4,5,3,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>10
[3,6,4,1,5,2,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>10
[4,5,6,1,3,2,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[4,5,7,1,2,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>6
[3,7,4,1,2,6,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>13
[6,7,1,4,2,5,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>10
[2,7,1,3,5,6,4,8]=>[[1,2,5,6,8],[3,4],[7]]=>9
[8,6,1,2,4,3,7,5]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[2,8,1,3,4,6,7,5]=>[[1,2,5,6,7],[3,4],[8]]=>8
[7,8,1,2,5,3,6,4]=>[[1,2,5,7],[3,4],[6,8]]=>12
[3,8,4,1,2,5,7,6]=>[[1,2,6,7],[3,5,8],[4]]=>12
[1,2,6,7,5,3,8,4]=>[[1,2,3,4,7],[5,8],[6]]=>6
[1,7,5,3,2,8,4,6]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[1,6,7,5,3,8,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[1,6,5,7,2,3,8,4]=>[[1,2,4,7],[3,6,8],[5]]=>15
[1,3,8,2,6,5,7,4]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[1,2,5,7,6,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>7
[1,3,4,8,2,5,7,6]=>[[1,2,3,4,7],[5,6],[8]]=>6
[1,5,7,6,2,3,4,8]=>[[1,2,3,7,8],[4,6],[5]]=>9
[1,5,3,8,2,6,4,7]=>[[1,2,4,8],[3,6],[5,7]]=>15
[1,4,8,3,2,5,7,6]=>[[1,2,3,7],[4,6],[5,8]]=>11
[1,4,8,3,5,7,6,2]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[1,2,4,8,3,5,7,6]=>[[1,2,3,4,7],[5,6],[8]]=>6
[1,3,8,4,2,6,7,5]=>[[1,2,3,6,7],[4,8],[5]]=>7
[1,4,8,2,3,5,7,6]=>[[1,2,3,6,7],[4,5],[8]]=>7
[6,5,7,3,8,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[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]]=>12
[3,4,8,7,5,2,1,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[1,7,5,2,8,4,6,3]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[5,6,8,3,1,7,2,4]=>[[1,2,3],[4,6,8],[5,7]]=>11
[6,1,4,8,3,2,7,5]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[3,4,7,1,8,6,2,5]=>[[1,2,3,5],[4,6,8],[7]]=>10
[3,4,6,8,2,1,5,7]=>[[1,2,3,4],[5,7,8],[6]]=>7
[3,8,2,5,6,1,4,7]=>[[1,2,5,8],[3,4],[6,7]]=>11
[3,5,2,8,6,4,1,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[4,2,5,7,3,8,6,1]=>[[1,3,4,6],[2,5,7],[8]]=>14
[7,4,2,5,3,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[3,1,2,8,5,6,4,7]=>[[1,3,4,6,8],[2,5],[7]]=>14
[5,2,1,6,8,3,4,7]=>[[1,4,5,8],[2,6,7],[3]]=>11
[5,2,6,8,4,1,3,7]=>[[1,3,4],[2,5,8],[6,7]]=>14
[1,5,6,8,3,4,2,7]=>[[1,2,3,4],[5,6,8],[7]]=>6
[4,5,8,1,6,3,2,7]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[4,5,1,6,8,3,2,7]=>[[1,2,4,5],[3,6,8],[7]]=>11
[4,5,7,3,8,2,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[6,4,3,7,8,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[6,4,3,1,7,8,2,5]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[4,5,3,1,7,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>9
[7,1,3,5,4,8,2,6]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[7,5,2,8,1,4,3,6]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[5,7,3,8,4,6,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>12
[1,4,5,7,3,8,6,2]=>[[1,2,3,4,6],[5,7],[8]]=>7
[4,6,3,7,8,5,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[5,3,6,7,8,4,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[1,5,3,6,7,8,4,2]=>[[1,2,4,5,6],[3,7],[8]]=>9
[4,6,1,7,3,8,5,2]=>[[1,2,4,6],[3,5,7],[8]]=>13
[6,3,7,1,8,4,5,2]=>[[1,3,5],[2,6,7],[4,8]]=>17
[6,7,2,4,8,1,5,3]=>[[1,2,5],[3,4,7],[6,8]]=>13
[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]]=>10
[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]]=>18
[5,2,1,7,3,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>14
[6,4,2,7,1,8,3,5]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[4,2,6,3,7,8,1,5]=>[[1,3,5,6],[2,4,8],[7]]=>16
[4,2,6,3,7,8,5,1]=>[[1,3,5,6],[2,4,7],[8]]=>15
[6,7,3,8,2,4,5,1]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[3,6,2,7,4,1,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>12
[6,7,3,2,1,4,8,5]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[7,1,8,3,4,2,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>16
[7,2,4,1,8,3,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>16
[7,2,4,8,6,1,3,5]=>[[1,3,4],[2,5,8],[6,7]]=>14
[7,3,4,8,6,2,1,5]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[3,5,7,2,1,8,6,4]=>[[1,2,3,6],[4,7],[5,8]]=>9
[6,7,8,3,2,5,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[6,3,7,8,2,5,4,1]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[2,6,7,4,8,5,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[6,2,4,7,1,8,5,3]=>[[1,3,4,6],[2,7],[5,8]]=>15
[4,6,2,7,1,8,5,3]=>[[1,2,4,6],[3,7],[5,8]]=>14
[1,7,4,8,5,2,6,3]=>[[1,2,4,7],[3,5],[6,8]]=>13
[1,3,7,8,5,2,6,4]=>[[1,2,3,4],[5,7],[6,8]]=>8
[2,5,7,8,1,6,3,4]=>[[1,2,3,4],[5,6,8],[7]]=>6
[6,3,7,1,8,2,5,4]=>[[1,3,5],[2,6,7],[4,8]]=>17
[1,6,4,7,8,2,5,3]=>[[1,2,4,5],[3,7],[6,8]]=>13
[2,5,6,1,7,8,4,3]=>[[1,2,3,5,6],[4,7],[8]]=>8
[5,6,1,2,7,8,4,3]=>[[1,2,5,6],[3,4,7],[8]]=>9
[6,7,2,1,8,5,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>12
[6,7,2,8,5,4,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[1,6,7,4,8,5,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[1,8,2,4,6,3,5,7]=>[[1,2,4,5,8],[3,7],[6]]=>12
[1,5,7,4,3,6,2,8]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[1,8,4,5,3,6,2,7]=>[[1,2,4,6,8],[3],[5],[7]]=>15
[1,8,5,3,4,7,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[1,8,2,4,6,3,7,5]=>[[1,2,4,5,7],[3,8],[6]]=>11
[1,8,2,5,4,6,7,3]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[3,6,2,7,1,4,5,8]=>[[1,2,4,8],[3,6,7],[5]]=>14
[1,4,7,5,2,6,8,3]=>[[1,2,3,6,7],[4,8],[5]]=>7
[4,6,5,3,7,1,8,2]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[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]]=>16
[6,2,5,4,8,3,7,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[6,4,3,5,8,2,7,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[5,2,3,4,8,1,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>13
[3,5,2,4,7,1,6,8]=>[[1,2,5,8],[3,4,7],[6]]=>12
[5,3,4,8,1,6,2,7]=>[[1,3,4,8],[2,6],[5,7]]=>16
[4,5,3,7,1,6,2,8]=>[[1,2,4,8],[3,6],[5,7]]=>15
[7,6,3,8,5,1,2,4]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[4,2,6,7,3,8,1,5]=>[[1,3,4,6],[2,5,8],[7]]=>15
[1,5,7,4,2,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>9
[1,3,7,2,8,6,4,5]=>[[1,2,3,5],[4,6,8],[7]]=>10
[1,4,3,7,8,6,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>11
[1,5,3,6,8,2,7,4]=>[[1,2,4,5],[3,7],[6,8]]=>13
[4,3,6,5,7,8,1,2]=>[[1,3,5,6],[2,4],[7,8]]=>16
[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]]=>14
[3,2,5,6,8,1,7,4]=>[[1,3,4,5],[2,7],[6,8]]=>14
[6,4,5,2,3,8,7,1]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[6,4,2,5,3,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[8,6,4,7,5,2,3,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[8,6,2,7,4,5,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[4,6,2,5,3,8,7,1]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[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]]=>14
[6,8,7,2,4,5,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[2,6,4,5,8,7,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[2,6,4,8,7,5,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[8,2,4,6,7,5,3,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[4,2,6,8,7,5,3,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[4,2,6,5,8,7,3,1]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[4,2,3,6,8,7,5,1]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[6,4,8,7,2,5,3,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[6,4,8,7,5,2,3,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[4,6,5,8,7,2,3,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[8,2,6,4,7,5,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[4,6,8,2,7,5,3,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[4,6,5,8,2,7,3,1]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[2,1,8,6,4,7,5,3]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[6,8,7,4,2,5,3,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[4,2,5,6,3,8,1,7]=>[[1,3,4,6],[2,5,8],[7]]=>15
[6,2,5,7,4,8,3,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[8,5,2,1,4,7,6,3]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[6,7,3,2,5,8,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[3,2,6,4,8,1,5,7]=>[[1,3,5,8],[2,4,7],[6]]=>18
[2,3,6,4,7,8,5,1]=>[[1,2,3,5,6],[4,7],[8]]=>8
[7,5,1,8,3,4,6,2]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[5,7,8,2,6,3,4,1]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[7,1,6,3,5,8,4,2]=>[[1,3,5,6],[2],[4],[7],[8]]=>20
[6,3,1,7,8,4,5,2]=>[[1,4,5],[2,6,7],[3,8]]=>12
[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]]=>11
[1,6,3,5,2,4,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>15
[3,4,8,2,7,5,1,6]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[6,3,2,8,5,7,4,1]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[3,8,4,7,2,5,6,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[2,4,8,1,5,3,7,6]=>[[1,2,3,7],[4,5,8],[6]]=>7
[3,4,8,1,6,2,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>7
[1,8,4,6,7,3,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[8,1,6,3,4,5,7,2]=>[[1,3,5,6,7],[2],[4],[8]]=>16
[7,6,5,4,1,2,8,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[5,7,6,8,3,4,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[2,8,1,6,5,7,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[4,6,8,2,5,3,7,1]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[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]]=>14
[5,2,6,8,4,3,1,7]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[7,8,1,5,4,3,6,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[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]]=>12
[2,7,8,5,4,6,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[5,7,4,3,8,6,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[4,8,1,6,3,5,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[8,3,1,7,4,2,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[3,1,8,2,4,5,7,6]=>[[1,3,5,6,7],[2,4],[8]]=>14
[8,1,3,7,6,2,4,5]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[2,3,6,8,7,1,4,5]=>[[1,2,3,4],[5,7,8],[6]]=>7
[4,3,2,8,5,7,1,6]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[3,6,4,2,8,5,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[4,7,3,2,5,1,8,6]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[3,2,4,7,5,8,6,1]=>[[1,3,4,6],[2,5,7],[8]]=>14
[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]]=>13
[3,2,8,1,4,6,5,7]=>[[1,3,6,8],[2,5],[4,7]]=>20
[4,7,8,3,1,2,6,5]=>[[1,2,3],[4,6,7],[5,8]]=>10
[4,7,8,2,1,3,6,5]=>[[1,2,3],[4,6,7],[5,8]]=>10
[4,1,6,8,2,3,7,5]=>[[1,3,4,7],[2,5,6],[8]]=>13
[4,5,1,2,8,3,7,6]=>[[1,2,5,7],[3,4,6],[8]]=>11
[4,6,2,8,1,3,7,5]=>[[1,2,4],[3,6,7],[5,8]]=>15
[3,6,2,8,4,7,1,5]=>[[1,2,4],[3,5,6],[7,8]]=>12
[3,2,6,8,4,7,1,5]=>[[1,3,4],[2,5,6],[7,8]]=>13
[4,2,6,8,3,1,7,5]=>[[1,3,4],[2,5,7],[6,8]]=>15
[4,2,5,1,8,3,7,6]=>[[1,3,5],[2,6,7],[4,8]]=>17
[4,1,2,5,8,3,7,6]=>[[1,3,4,5],[2,6,7],[8]]=>11
[5,2,4,1,3,8,7,6]=>[[1,3,6],[2,5,7],[4,8]]=>20
[4,2,5,3,8,1,7,6]=>[[1,3,5],[2,4,7],[6,8]]=>19
[3,2,5,4,8,7,1,6]=>[[1,3,5],[2,4,6],[7,8]]=>17
[5,1,4,2,3,8,7,6]=>[[1,3,5,6],[2,7],[4,8]]=>16
[5,4,1,3,2,8,7,6]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[5,4,3,1,2,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[3,5,1,4,8,7,2,6]=>[[1,2,5],[3,4,6],[7,8]]=>11
[2,5,6,8,7,3,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[3,4,5,1,8,7,2,6]=>[[1,2,3,5],[4,6,8],[7]]=>10
[4,3,6,8,2,1,7,5]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[2,4,6,8,3,7,5,1]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[3,4,5,2,8,7,1,6]=>[[1,2,3,5],[4,6],[7,8]]=>10
[5,3,1,4,2,8,7,6]=>[[1,4,6],[2,5,7],[3,8]]=>15
[5,3,2,1,4,8,7,6]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[4,3,2,5,8,1,7,6]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[3,2,4,5,8,7,1,6]=>[[1,3,4,5],[2,6],[7,8]]=>12
[5,2,1,3,4,8,7,6]=>[[1,4,5,6],[2,7],[3,8]]=>11
[5,1,2,3,4,8,7,6]=>[[1,3,4,5,6],[2,7],[8]]=>10
[8,6,2,5,4,1,3,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[6,5,7,4,2,8,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[6,7,5,3,8,2,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[8,2,1,6,3,4,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>12
[8,3,5,6,2,4,1,7]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[8,6,2,1,3,5,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[8,1,2,3,4,6,5,7]=>[[1,3,4,5,6,8],[2],[7]]=>10
[6,2,3,7,8,4,5,1]=>[[1,3,4,5],[2,6,7],[8]]=>11
[7,5,8,2,6,3,4,1]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[7,3,1,6,5,8,4,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[1,5,6,7,3,4,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>6
[6,7,8,2,1,4,5,3]=>[[1,2,3],[4,6,7],[5,8]]=>10
[8,4,7,6,2,1,3,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[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]]=>17
[5,3,1,7,8,6,2,4]=>[[1,4,5],[2,6,8],[3,7]]=>13
[3,5,8,2,7,1,6,4]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[6,2,8,5,3,1,7,4]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[8,2,6,4,7,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[3,4,2,8,5,1,7,6]=>[[1,2,4,7],[3,5],[6,8]]=>13
[3,8,6,5,2,1,7,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[8,3,7,4,2,5,6,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>19
[4,8,5,7,2,1,3,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[3,4,1,8,2,6,7,5]=>[[1,2,4,7],[3,5,6],[8]]=>12
[8,4,6,3,7,1,5,2]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[6,8,3,4,1,5,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>9
[5,1,7,6,2,8,4,3]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[6,8,2,5,7,4,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[2,8,5,6,7,1,3,4]=>[[1,2,4,5],[3,7,8],[6]]=>12
[2,5,7,6,3,1,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[4,2,8,3,1,5,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>13
[2,5,7,3,8,4,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>9
[4,2,7,1,8,5,3,6]=>[[1,3,5],[2,6,8],[4,7]]=>18
[4,2,1,8,7,5,6,3]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[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]]=>11
[5,7,8,4,3,1,6,2]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[2,7,4,5,8,3,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[3,5,7,1,4,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>8
[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]]=>12
[5,7,4,8,3,6,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[4,8,6,1,3,5,2,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[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]]=>16
[3,6,4,8,2,5,7,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[4,3,7,2,5,8,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[3,2,4,7,8,5,6,1]=>[[1,3,4,5],[2,6,7],[8]]=>11
[2,6,4,3,8,5,1,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[3,8,2,1,6,4,5,7]=>[[1,2,7,8],[3,5],[4,6]]=>12
[8,2,1,3,4,5,7,6]=>[[1,4,5,6,7],[2,8],[3]]=>9
[4,6,8,3,2,1,5,7]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[3,2,6,8,5,4,1,7]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[7,3,8,2,5,4,1,6]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[4,2,5,3,8,7,6,1]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[4,8,2,6,5,3,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[2,6,8,5,4,1,3,7]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[3,1,8,6,5,4,2,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[5,4,8,7,3,2,6,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[6,4,8,3,7,2,5,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[4,7,3,6,2,1,8,5]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[5,4,3,7,1,8,2,6]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[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]]=>20
[3,8,1,5,7,4,6,2]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[4,8,5,7,3,1,6,2]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[1,5,4,8,3,7,6,2]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[4,8,3,6,7,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[4,7,8,3,1,6,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[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]]=>12
[6,8,2,1,7,4,5,3]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[3,7,1,6,4,2,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[3,1,2,7,5,6,8,4]=>[[1,3,4,6,7],[2,5],[8]]=>13
[3,6,1,2,7,5,8,4]=>[[1,2,5,7],[3,4,6],[8]]=>11
[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]]=>12
[8,5,2,3,6,7,4,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[4,7,2,6,3,8,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[6,3,2,4,8,7,5,1]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[3,7,2,4,6,1,8,5]=>[[1,2,5,7],[3,4],[6,8]]=>12
[5,3,7,2,8,1,4,6]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[6,3,2,8,7,5,1,4]=>[[1,4],[2,5],[3,6],[7,8]]=>17
[7,3,8,2,6,5,1,4]=>[[1,3],[2,5],[4,6],[7,8]]=>22
[6,4,8,7,2,5,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>18
[2,5,4,8,1,7,6,3]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[5,2,8,1,7,6,3,4]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[6,2,1,3,8,7,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[3,6,1,8,7,5,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[5,6,1,2,8,7,4,3]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[7,5,2,8,1,6,4,3]=>[[1,4],[2,6],[3,7],[5,8]]=>20
[2,7,6,8,1,5,4,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[7,8,5,1,6,2,4,3]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[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]]=>17
[5,8,7,1,6,4,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>20
[8,5,4,3,7,2,1,6]=>[[1,5],[2,8],[3],[4],[6],[7]]=>21
[6,5,4,8,3,2,7,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>23
[7,6,4,3,2,8,5,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>19
[7,3,1,4,8,2,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>11
[7,4,1,2,5,8,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>10
[6,7,4,2,5,1,3,8]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[5,7,2,4,6,8,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>10
[4,7,5,1,6,2,8,3]=>[[1,2,5,7],[3,6,8],[4]]=>11
[5,7,4,6,3,1,8,2]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[7,5,1,4,3,2,8,6]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[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]]=>21
[5,4,2,7,3,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[4,5,1,2,7,6,8,3]=>[[1,2,5,7],[3,4,6],[8]]=>11
[5,4,6,8,3,1,2,7]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[6,4,8,1,3,7,2,5]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[4,6,1,3,8,5,2,7]=>[[1,2,5,8],[3,4,6],[7]]=>10
[1,3,8,4,5,7,2,6]=>[[1,2,3,5,6],[4,8],[7]]=>9
[2,6,7,4,5,3,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[2,6,8,4,3,5,1,7]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[1,3,7,4,2,8,5,6]=>[[1,2,3,6,8],[4,7],[5]]=>8
[4,6,1,3,7,2,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>12
[7,5,8,6,2,1,3,4]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[2,8,1,3,6,5,4,7]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[2,8,7,3,5,4,1,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>15
[3,4,2,6,8,7,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>11
[7,4,2,3,6,1,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[8,4,2,3,6,5,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[7,3,8,4,1,2,6,5]=>[[1,3,7],[2,4,8],[5,6]]=>15
[6,8,3,2,7,1,5,4]=>[[1,2],[3,5],[4,7],[6,8]]=>18
[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]]=>16
[2,7,8,3,4,5,1,6]=>[[1,2,3,6,8],[4,5],[7]]=>8
[3,7,1,2,4,6,5,8]=>[[1,2,5,6,8],[3,4],[7]]=>9
[7,5,6,8,2,1,4,3]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[3,1,6,5,2,7,4,8]=>[[1,3,6,8],[2,4,7],[5]]=>15
[2,8,6,5,3,4,1,7]=>[[1,2,6,8],[3],[4],[5],[7]]=>14
[1,7,2,3,5,6,8,4]=>[[1,2,4,5,6,7],[3],[8]]=>8
[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]]=>9
[4,2,1,7,5,8,3,6]=>[[1,4,6],[2,5,8],[3,7]]=>16
[4,7,2,6,5,1,3,8]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[3,7,4,1,2,5,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>12
[4,7,1,6,5,2,8,3]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[4,7,3,6,5,1,8,2]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[4,3,7,1,6,8,5,2]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[4,2,1,7,5,6,8,3]=>[[1,4,6,7],[2,5],[3,8]]=>14
[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]]=>15
[3,4,6,1,8,5,2,7]=>[[1,2,3,5],[4,6,8],[7]]=>10
[4,1,6,7,5,8,2,3]=>[[1,3,4,6],[2,5,8],[7]]=>15
[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]]=>21
[4,3,7,5,6,8,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[4,1,7,3,6,5,2,8]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[2,8,7,4,5,3,1,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>15
[2,8,7,4,3,5,1,6]=>[[1,2,6,8],[3],[4],[5],[7]]=>14
[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]]=>17
[5,8,7,6,1,2,4,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[5,8,7,6,2,1,3,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[4,1,7,2,6,8,5,3]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[4,2,7,3,6,1,8,5]=>[[1,3,5,7],[2,4],[6,8]]=>18
[4,2,7,3,6,5,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[3,8,2,4,5,6,7,1]=>[[1,2,5,6,7],[3,4],[8]]=>8
[3,8,2,4,1,6,7,5]=>[[1,2,6,7],[3,4],[5,8]]=>9
[3,8,5,6,2,4,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[2,8,6,5,3,7,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[3,8,6,5,1,4,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[3,8,2,1,4,6,7,5]=>[[1,2,6,7],[3,5],[4,8]]=>13
[3,8,2,5,4,6,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[4,2,7,5,6,3,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[4,2,7,5,6,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>18
[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]]=>18
[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]]=>9
[5,8,7,6,1,3,4,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[5,8,7,6,2,3,4,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[4,1,7,5,6,2,3,8]=>[[1,3,5,8],[2,4,7],[6]]=>18
[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]]=>14
[2,8,7,5,4,3,1,6]=>[[1,2,8],[3],[4],[5],[6],[7]]=>16
[4,1,7,5,6,3,2,8]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[5,8,7,6,1,3,2,4]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[5,8,7,6,4,1,2,3]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[5,4,2,3,7,6,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[7,4,3,5,2,8,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[8,4,3,7,5,1,6,2]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[8,4,7,2,5,1,6,3]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[7,4,6,2,3,5,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[5,1,7,2,4,6,8,3]=>[[1,3,5,6,7],[2,4],[8]]=>14
[4,5,7,1,2,6,8,3]=>[[1,2,3,7],[4,5,6],[8]]=>7
[5,4,1,7,3,6,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[3,6,4,7,5,2,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[3,4,7,6,2,5,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[4,7,5,6,1,3,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[5,7,6,4,3,1,8,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[5,7,6,3,1,4,8,2]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[7,5,2,3,4,8,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[8,7,5,3,4,1,6,2]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[6,7,1,3,8,4,2,5]=>[[1,2,5,8],[3,4,6],[7]]=>10
[7,6,1,3,4,8,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[3,6,5,2,7,8,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[3,2,8,6,7,1,4,5]=>[[1,3,5],[2,4,8],[6,7]]=>18
[4,8,3,6,5,2,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[1,8,6,5,4,2,3,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[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]]=>12
[3,6,8,5,1,2,4,7]=>[[1,2,3,8],[4,6,7],[5]]=>9
[3,7,5,1,8,2,6,4]=>[[1,2,5],[3,6,7],[4,8]]=>11
[7,1,2,8,3,5,6,4]=>[[1,3,4,6,7],[2,5],[8]]=>13
[6,1,7,8,2,5,3,4]=>[[1,3,4,8],[2,5,6],[7]]=>12
[6,7,5,2,8,1,4,3]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[7,1,4,5,8,6,2,3]=>[[1,3,4,5],[2,6],[7,8]]=>12
[5,7,6,4,2,8,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[7,5,6,1,2,8,4,3]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[4,1,3,7,8,6,2,5]=>[[1,3,4,5],[2,6],[7,8]]=>12
[5,1,4,3,6,8,7,2]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[4,5,7,6,8,2,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[5,7,6,8,4,2,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[5,1,6,8,4,2,7,3]=>[[1,3,4],[2,5,7],[6,8]]=>15
[7,4,8,2,3,6,5,1]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[5,6,8,4,7,3,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[6,4,7,8,5,2,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[3,6,4,8,5,1,2,7]=>[[1,2,4,8],[3,5],[6,7]]=>12
[3,7,4,8,1,2,5,6]=>[[1,2,4,8],[3,6,7],[5]]=>14
[7,4,3,8,2,6,5,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[7,6,8,3,2,5,4,1]=>[[1,3],[2,6],[4,7],[5],[8]]=>22
[8,7,1,3,5,4,6,2]=>[[1,4,5,7],[2],[3],[6],[8]]=>17
[7,1,8,3,4,2,6,5]=>[[1,3,5,7],[2,4],[6,8]]=>18
[7,6,8,3,1,4,5,2]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[3,1,4,8,2,5,7,6]=>[[1,3,4,7],[2,5,6],[8]]=>13
[4,8,5,2,1,3,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[5,8,2,6,3,1,4,7]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[6,8,2,3,7,4,1,5]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[7,8,2,3,4,6,5,1]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[8,1,7,2,4,5,3,6]=>[[1,3,5,6,8],[2],[4],[7]]=>17
[8,1,3,6,2,5,4,7]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[7,2,1,6,3,5,4,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[2,7,1,6,3,5,4,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[2,7,1,5,4,3,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[7,2,1,5,4,3,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[8,1,3,5,4,2,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[8,1,5,3,4,2,6,7]=>[[1,3,5,7,8],[2],[4],[6]]=>18
[8,1,5,6,2,3,7,4]=>[[1,3,4,7],[2,6,8],[5]]=>16
[8,1,4,5,3,2,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[8,1,4,3,5,2,6,7]=>[[1,3,5,7,8],[2],[4],[6]]=>18
[7,2,1,4,5,3,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>11
[2,7,1,4,5,3,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>10
[2,6,3,1,5,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>10
[6,3,2,1,5,4,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[7,3,1,4,5,2,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>11
[7,3,1,5,4,2,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[7,3,1,6,2,5,4,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[3,7,1,6,2,5,4,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[3,7,1,4,5,2,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>10
[3,6,2,1,5,4,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>12
[2,3,6,1,5,4,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[3,5,2,4,1,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>7
[6,3,4,1,5,2,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>16
[6,2,4,1,5,3,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>16
[2,6,4,1,5,3,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>10
[2,6,5,1,3,7,4,8]=>[[1,2,6,8],[3,5,7],[4]]=>13
[6,2,5,1,3,7,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>19
[6,5,2,1,3,7,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[7,6,1,2,4,5,3,8]=>[[1,4,5,6,8],[2],[3],[7]]=>12
[6,7,1,2,8,3,5,4]=>[[1,2,5,7],[3,4,6],[8]]=>11
[6,7,1,2,5,4,3,8]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[5,6,2,1,3,7,4,8]=>[[1,2,6,8],[3,5,7],[4]]=>13
[5,2,6,1,3,7,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>19
[2,4,6,1,5,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[4,7,1,3,5,2,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>10
[4,7,1,5,3,2,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[5,7,1,4,2,6,3,8]=>[[1,2,6,8],[3,4],[5,7]]=>10
[5,7,1,6,2,3,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>8
[5,6,3,1,2,7,4,8]=>[[1,2,6,8],[3,5,7],[4]]=>13
[4,2,5,3,1,6,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[5,3,6,1,2,7,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>19
[3,4,6,1,5,2,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[6,5,1,8,7,3,4,2]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[8,2,7,5,4,1,3,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[6,8,5,2,3,4,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[8,5,6,2,7,1,4,3]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[6,5,1,2,7,8,4,3]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[4,7,6,1,5,3,8,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[5,7,6,4,1,3,8,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[7,6,2,4,5,3,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>17
[6,1,7,5,3,8,4,2]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[8,6,7,5,3,1,4,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[8,5,2,7,1,6,4,3]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[7,6,1,5,3,8,4,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[5,6,2,4,7,8,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>10
[3,4,6,1,7,8,5,2]=>[[1,2,3,5,6],[4,7],[8]]=>8
[3,4,8,6,7,1,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[4,8,5,6,7,2,3,1]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[5,8,6,4,1,2,7,3]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[5,8,6,1,7,2,4,3]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[5,8,7,3,2,6,4,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[5,8,1,7,2,6,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[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]]=>18
[6,8,7,2,5,1,3,4]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[5,8,7,2,1,6,3,4]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[4,8,1,5,2,6,7,3]=>[[1,2,6,7],[3,4,8],[5]]=>8
[3,7,8,5,1,6,2,4]=>[[1,2,3],[4,6,8],[5,7]]=>11
[6,5,2,7,8,1,4,3]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[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]]=>12
[8,6,7,1,5,2,3,4]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[6,1,7,8,5,2,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>14
[7,5,6,2,1,8,4,3]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[8,7,5,2,1,6,4,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[7,1,3,5,8,6,2,4]=>[[1,3,4,5],[2,6],[7,8]]=>12
[5,1,3,4,6,8,7,2]=>[[1,3,4,5,6],[2,7],[8]]=>10
[4,5,3,6,8,2,7,1]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[5,6,3,4,8,1,7,2]=>[[1,2,5],[3,4,7],[6,8]]=>13
[4,6,7,8,5,1,3,2]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[8,4,3,1,2,6,7,5]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[8,5,1,6,3,4,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[5,1,8,6,3,4,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[4,6,8,1,5,3,7,2]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[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]]=>14
[6,5,8,1,3,4,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[5,6,8,3,1,2,7,4]=>[[1,2,3],[4,6,7],[5,8]]=>10
[6,1,8,3,5,2,7,4]=>[[1,3,5,7],[2,4],[6,8]]=>18
[7,6,8,3,5,2,1,4]=>[[1,3],[2,5],[4,8],[6],[7]]=>24
[8,6,1,3,5,2,7,4]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[8,7,1,3,5,6,2,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[6,7,8,3,5,1,2,4]=>[[1,2,3],[4,5,8],[6,7]]=>8
[3,4,8,1,2,6,7,5]=>[[1,2,3,7],[4,5,6],[8]]=>7
[5,8,2,4,3,6,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[5,8,2,3,1,6,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>9
[6,8,2,3,5,1,7,4]=>[[1,2,5,7],[3,4],[6,8]]=>12
[7,8,2,3,5,6,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>10
[8,6,5,1,4,3,7,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>21
[2,6,5,4,1,3,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[4,1,7,6,3,8,2,5]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[4,8,2,5,7,6,3,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[3,4,6,5,1,8,2,7]=>[[1,2,3,6],[4,7,8],[5]]=>8
[2,6,5,3,4,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[4,6,1,5,2,3,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>8
[6,2,3,5,1,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>16
[2,6,7,5,1,8,4,3]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[8,6,1,2,5,3,4,7]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[6,2,5,1,8,3,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>16
[7,6,5,2,8,3,4,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[2,6,3,5,1,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>14
[2,4,7,6,5,8,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[2,1,4,8,7,6,3,5]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[7,4,6,8,5,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>21
[8,1,3,5,7,4,6,2]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[3,2,8,7,5,1,6,4]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[4,8,5,1,6,7,2,3]=>[[1,2,5,6],[3,7,8],[4]]=>9
[3,8,5,1,6,7,2,4]=>[[1,2,5,6],[3,7,8],[4]]=>9
[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]]=>11
[2,5,1,8,6,7,4,3]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[3,5,1,8,6,7,4,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[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]]=>18
[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]]=>15
[5,6,3,2,8,1,4,7]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[8,1,6,3,5,2,7,4]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,7,6,2,5,3,1,4]=>[[1,5,8],[2],[3],[4],[6],[7]]=>20
[4,7,6,8,3,2,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[2,7,5,8,1,3,4,6]=>[[1,2,4,8],[3,6,7],[5]]=>14
[7,6,2,8,5,1,4,3]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[8,1,3,7,5,2,6,4]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[3,4,8,7,5,1,6,2]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[6,3,8,1,4,2,5,7]=>[[1,3,7,8],[2,5],[4,6]]=>18
[6,3,8,5,7,4,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[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]]=>18
[3,6,8,2,4,1,7,5]=>[[1,2,3],[4,5,7],[6,8]]=>9
[4,5,8,2,6,7,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[5,2,8,1,6,7,3,4]=>[[1,3,6],[2,5,8],[4,7]]=>21
[2,5,8,4,6,7,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[5,8,3,4,6,7,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[8,4,3,2,6,7,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[4,2,8,1,6,7,3,5]=>[[1,3,6],[2,5,8],[4,7]]=>21
[2,4,8,1,6,7,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>9
[5,1,8,2,6,7,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>16
[3,4,8,7,2,1,5,6]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[7,8,5,3,6,4,2,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[2,8,5,7,4,1,3,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[5,8,4,1,6,7,2,3]=>[[1,2,6],[3,5,8],[4,7]]=>15
[3,8,1,4,6,7,2,5]=>[[1,2,5,6],[3,4,8],[7]]=>10
[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]]=>16
[7,4,3,2,8,5,1,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[5,3,2,8,4,6,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[8,4,2,6,5,3,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[7,4,2,5,3,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[8,3,6,2,5,4,1,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[5,4,8,3,2,6,1,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[3,5,8,2,4,6,1,7]=>[[1,2,3,8],[4,5,6],[7]]=>6
[6,4,7,8,2,3,1,5]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[5,8,3,6,4,2,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[4,8,6,2,5,3,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[1,6,4,3,2,8,7,5]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[1,5,3,2,8,4,7,6]=>[[1,2,5,7],[3,6],[4,8]]=>12
[5,7,4,3,1,2,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[2,8,7,3,5,1,4,6]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[7,3,8,6,4,1,2,5]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[6,1,2,7,3,8,5,4]=>[[1,3,4,6],[2,5,7],[8]]=>14
[2,1,7,4,3,8,6,5]=>[[1,3,6],[2,4,7],[5,8]]=>16
[6,1,4,3,8,2,7,5]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[5,1,3,2,8,7,4,6]=>[[1,3,5,8],[2,6],[4,7]]=>17
[1,8,4,2,7,6,5,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[1,8,3,7,2,6,5,4]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[5,1,4,8,3,7,2,6]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[2,1,6,8,5,4,7,3]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[6,1,5,7,8,2,4,3]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[8,3,1,6,7,2,5,4]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[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]]=>15
[3,7,6,1,5,2,4,8]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[1,5,4,8,3,2,7,6]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[7,3,6,1,2,5,4,8]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[5,4,7,1,3,2,6,8]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[5,7,4,8,2,1,3,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[4,6,8,2,5,1,3,7]=>[[1,2,3],[4,5,8],[6,7]]=>8
[7,4,6,2,1,5,3,8]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[1,2,6,3,8,5,7,4]=>[[1,2,3,5,7],[4,6],[8]]=>10
[1,5,2,6,8,4,7,3]=>[[1,2,4,5],[3,6,7],[8]]=>10
[5,7,2,3,8,1,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>12
[6,4,7,5,8,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>18
[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]]=>12
[8,6,4,2,1,7,5,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[7,4,2,1,5,8,6,3]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[7,6,4,1,8,5,2,3]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[1,6,4,8,7,5,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[6,3,1,2,8,4,7,5]=>[[1,4,5,7],[2,6],[3,8]]=>13
[7,5,1,3,2,8,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[4,7,1,2,5,8,6,3]=>[[1,2,5,6],[3,4,7],[8]]=>9
[6,8,4,1,2,7,5,3]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[7,5,8,1,2,6,4,3]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[7,4,8,1,6,3,5,2]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[5,8,2,1,7,3,6,4]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[3,6,1,8,2,4,7,5]=>[[1,2,4,7],[3,5,6],[8]]=>12
[1,3,8,7,6,2,5,4]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[5,4,1,8,7,3,2,6]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[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]]=>12
[4,7,1,2,8,6,3,5]=>[[1,2,5,8],[3,4,6],[7]]=>10
[5,8,4,1,7,6,2,3]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[7,6,8,1,5,4,2,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[8,6,1,7,5,4,3,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>21
[7,1,5,8,6,4,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[5,1,8,7,3,6,4,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[4,1,8,7,6,2,5,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[3,1,8,7,6,5,2,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[1,6,4,5,2,3,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[1,7,4,5,2,3,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[1,7,3,5,2,4,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[1,6,3,5,2,4,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[1,6,3,4,2,5,7,8]=>[[1,2,4,6,7,8],[3],[5]]=>11
[1,7,3,4,2,5,6,8]=>[[1,2,4,6,7,8],[3],[5]]=>11
[1,8,6,7,3,4,2,5]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[1,8,5,7,3,4,2,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[1,7,3,4,2,6,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,5,2,8,4,7,3,6]=>[[1,2,4,6],[3,5],[7,8]]=>14
[1,4,2,8,5,7,3,6]=>[[1,2,4,6],[3,5,8],[7]]=>14
[1,7,3,5,2,6,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,8,4,7,3,5,2,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[1,7,3,6,2,5,4,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[1,7,3,6,2,4,5,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[1,7,4,6,2,3,5,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[1,8,5,6,2,3,4,7]=>[[1,2,4,7,8],[3,6],[5]]=>14
[1,8,5,6,2,4,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[1,3,2,8,5,6,4,7]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,4,2,8,5,6,3,7]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,5,2,8,4,6,3,7]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,6,2,8,4,5,3,7]=>[[1,2,4,6,8],[3,5],[7]]=>13
[8,1,2,4,5,3,6,7]=>[[1,3,4,5,7,8],[2],[6]]=>11
[8,6,4,7,2,1,3,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[1,6,4,7,2,8,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>13
[1,4,7,3,5,8,2,6]=>[[1,2,3,6],[4,5,8],[7]]=>9
[8,4,6,2,3,5,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[5,4,8,2,3,6,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[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]]=>15
[4,8,6,2,3,5,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[1,7,5,3,4,8,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[1,7,6,4,8,2,3,5]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[5,8,7,4,1,2,3,6]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[6,8,5,3,4,1,2,7]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[6,8,3,7,2,1,4,5]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[8,5,1,6,3,7,2,4]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[6,1,3,7,4,8,2,5]=>[[1,3,4,6],[2,5,8],[7]]=>15
[4,1,7,3,5,8,2,6]=>[[1,3,5,6],[2,4,8],[7]]=>16
[7,1,6,4,8,2,3,5]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[1,8,5,7,2,3,4,6]=>[[1,2,4,7,8],[3,6],[5]]=>14
[6,1,5,8,2,3,4,7]=>[[1,3,4,7,8],[2,6],[5]]=>15
[5,1,7,3,8,2,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>18
[6,1,5,7,8,2,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>13
[7,4,8,6,1,2,3,5]=>[[1,3,7,8],[2,4],[5,6]]=>14
[3,8,7,5,1,2,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[3,7,6,1,2,4,5,8]=>[[1,2,6,7,8],[3,5],[4]]=>11
[4,7,6,1,2,3,5,8]=>[[1,2,6,7,8],[3,5],[4]]=>11
[1,6,5,8,2,3,4,7]=>[[1,2,4,7,8],[3,6],[5]]=>14
[6,5,8,4,1,2,3,7]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[8,5,7,4,1,2,3,6]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[1,5,7,4,8,2,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>11
[7,6,4,8,2,1,3,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[7,6,2,3,8,1,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[7,4,8,5,1,6,2,3]=>[[1,3,6],[2,4,8],[5,7]]=>17
[8,6,2,3,1,7,4,5]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[8,6,4,1,2,7,3,5]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[1,7,2,8,6,3,4,5]=>[[1,2,4,7,8],[3,5],[6]]=>11
[7,6,1,3,8,2,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[7,5,8,1,3,6,2,4]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[5,4,1,8,2,3,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>12
[1,4,8,7,2,3,5,6]=>[[1,2,3,7,8],[4,6],[5]]=>9
[1,5,8,7,2,3,4,6]=>[[1,2,3,7,8],[4,6],[5]]=>9
[6,5,1,8,2,3,4,7]=>[[1,4,6,7,8],[2,5],[3]]=>12
[5,7,1,3,8,2,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>12
[7,6,8,1,5,2,3,4]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[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]]=>16
[4,1,8,7,2,3,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>13
[5,1,8,7,2,3,4,6]=>[[1,3,6,7,8],[2,4],[5]]=>13
[1,8,7,6,4,5,3,2]=>[[1,2,6],[3],[4],[5],[7],[8]]=>18
[1,8,7,3,6,5,4,2]=>[[1,2,5],[3],[4],[6],[7],[8]]=>19
[7,1,5,8,3,4,2,6]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[7,1,4,3,2,5,6,8]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[6,4,2,3,8,5,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[6,4,2,7,5,8,3,1]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[2,4,1,7,5,8,3,6]=>[[1,2,4,6],[3,5,8],[7]]=>14
[7,1,4,6,5,2,3,8]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[7,1,4,6,5,8,2,3]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[7,1,4,6,3,8,2,5]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[7,1,4,3,2,5,8,6]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[7,1,4,6,5,2,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[7,1,4,6,5,3,8,2]=>[[1,3,4,7],[2],[5],[6],[8]]=>18
[7,1,4,6,5,3,2,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[6,4,2,7,5,3,8,1]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[3,4,7,2,6,8,5,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[3,4,7,1,6,8,2,5]=>[[1,2,3,6],[4,5,8],[7]]=>9
[3,4,7,1,6,8,5,2]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[2,4,1,7,5,3,6,8]=>[[1,2,4,7,8],[3,5],[6]]=>11
[3,4,1,7,8,6,2,5]=>[[1,2,4,5],[3,6,8],[7]]=>11
[6,4,2,3,8,5,1,7]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[6,4,2,7,5,8,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[6,4,2,7,5,3,1,8]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[3,4,7,2,6,8,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>9
[5,4,7,3,6,8,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[3,4,7,2,6,5,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[4,8,3,2,5,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[4,8,7,3,5,1,2,6]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[4,8,7,1,3,5,2,6]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[4,8,3,1,2,6,5,7]=>[[1,2,6,8],[3,5],[4,7]]=>14
[3,4,7,1,6,2,5,8]=>[[1,2,3,8],[4,5,7],[6]]=>8
[3,4,7,1,6,2,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>7
[3,4,7,2,6,5,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[4,8,3,1,2,6,7,5]=>[[1,2,6,7],[3,5],[4,8]]=>13
[5,8,1,6,3,4,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[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]]=>10
[5,4,7,3,6,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[5,4,7,2,6,1,8,3]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[6,4,3,7,5,1,2,8]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[6,4,3,7,5,1,8,2]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[6,2,4,3,1,5,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[3,8,7,4,1,5,2,6]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[2,4,7,3,6,1,5,8]=>[[1,2,3,8],[4,5],[6,7]]=>7
[5,8,3,2,1,6,4,7]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[5,8,7,4,3,1,2,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[5,4,7,3,6,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[7,3,8,2,1,6,5,4]=>[[1,3],[2,6],[4,7],[5,8]]=>21
[7,4,3,8,5,2,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[6,5,2,8,4,3,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[4,3,2,8,6,5,1,7]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[4,3,8,7,5,1,6,2]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[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]]=>18
[4,3,7,8,5,1,2,6]=>[[1,3,4],[2,5,8],[6,7]]=>14
[5,3,7,8,4,1,2,6]=>[[1,3,4],[2,5,8],[6,7]]=>14
[6,2,5,8,3,1,4,7]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[6,2,4,8,3,1,5,7]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[5,2,3,8,4,1,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>12
[5,3,8,7,4,1,6,2]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[5,3,2,8,6,4,1,7]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[7,5,3,8,4,2,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[8,7,5,3,6,2,4,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[8,6,5,3,7,2,4,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[7,5,4,3,8,2,6,1]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[6,4,5,3,8,2,7,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[7,4,6,3,8,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[7,5,6,3,8,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[8,5,6,3,7,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[7,4,6,3,5,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,4,6,3,5,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,4,7,3,5,2,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,5,7,3,4,2,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[7,5,8,4,3,2,6,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>24
[6,5,8,4,3,2,7,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>24
[6,5,8,3,4,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[7,5,8,3,4,2,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[7,5,8,4,6,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[7,4,8,3,6,2,5,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[7,4,8,3,5,2,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[6,4,8,3,5,2,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[6,4,7,3,5,2,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[5,4,8,3,7,2,6,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[6,5,8,3,7,2,4,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[6,5,8,4,7,2,3,1]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[6,5,8,4,7,3,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>26
[6,4,7,3,8,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[5,4,7,3,8,2,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[5,4,6,3,8,2,7,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[5,3,6,2,4,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[5,3,6,1,4,8,7,2]=>[[1,3,6],[2,5,7],[4,8]]=>20
[5,3,7,2,4,6,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[4,3,1,5,6,8,7,2]=>[[1,4,5,6],[2,7],[3,8]]=>11
[4,2,1,5,8,6,3,7]=>[[1,4,5,8],[2,6],[3,7]]=>12
[4,2,1,5,8,6,7,3]=>[[1,4,5,7],[2,6],[3,8]]=>13
[4,2,1,5,8,7,6,3]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[4,3,1,5,7,8,6,2]=>[[1,4,5,6],[2,7],[3,8]]=>11
[4,3,1,7,5,8,6,2]=>[[1,4,6],[2,5,7],[3,8]]=>15
[6,7,3,1,4,8,2,5]=>[[1,2,6],[3,5,8],[4,7]]=>15
[5,3,7,1,4,8,2,6]=>[[1,3,6],[2,5,8],[4,7]]=>21
[4,3,1,5,7,8,2,6]=>[[1,4,5,6],[2,7,8],[3]]=>10
[3,2,1,8,5,4,6,7]=>[[1,4,7,8],[2,5],[3,6]]=>13
[3,2,1,8,5,7,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>16
[3,2,1,8,7,5,4,6]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[5,2,7,1,8,4,3,6]=>[[1,3,5],[2,6,8],[4,7]]=>18
[6,7,2,1,8,4,3,5]=>[[1,2,5],[3,6,8],[4,7]]=>12
[6,7,2,1,8,4,5,3]=>[[1,2,5],[3,6,7],[4,8]]=>11
[3,2,1,8,5,6,4,7]=>[[1,4,6,8],[2,5],[3,7]]=>15
[3,2,1,8,6,5,4,7]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[4,3,1,6,7,8,5,2]=>[[1,4,5,6],[2,7],[3,8]]=>11
[4,2,1,6,8,7,5,3]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[4,2,1,6,8,5,7,3]=>[[1,4,5],[2,6,7],[3,8]]=>12
[4,2,1,6,8,5,3,7]=>[[1,4,5],[2,6,8],[3,7]]=>13
[5,2,6,1,8,4,3,7]=>[[1,3,5],[2,6,8],[4,7]]=>18
[5,2,6,1,8,7,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[5,2,6,1,8,7,3,4]=>[[1,3,5],[2,6,8],[4,7]]=>18
[5,2,6,1,8,3,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>16
[4,2,1,6,8,3,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>12
[4,3,1,6,7,8,2,5]=>[[1,4,5,6],[2,7,8],[3]]=>10
[6,7,3,1,5,8,2,4]=>[[1,2,6],[3,5,8],[4,7]]=>15
[4,2,1,7,8,6,3,5]=>[[1,4,5],[2,6,8],[3,7]]=>13
[3,2,1,8,7,6,4,5]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[3,2,1,8,6,4,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>14
[3,2,1,8,6,4,5,7]=>[[1,4,7,8],[2,5],[3,6]]=>13
[3,2,1,8,4,6,5,7]=>[[1,4,6,8],[2,5],[3,7]]=>15
[3,2,1,8,4,6,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>14
[3,2,1,8,4,7,6,5]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[3,2,1,8,7,4,6,5]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[4,2,1,7,8,3,6,5]=>[[1,4,5],[2,6,7],[3,8]]=>12
[5,2,7,1,8,3,6,4]=>[[1,3,5],[2,6,7],[4,8]]=>17
[6,7,2,1,8,3,5,4]=>[[1,2,5],[3,6,7],[4,8]]=>11
[5,2,7,1,8,3,4,6]=>[[1,3,5,8],[2,6,7],[4]]=>16
[4,2,1,7,8,3,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>11
[3,2,1,8,4,5,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>14
[7,5,2,8,6,3,4,1]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[7,4,8,6,2,5,3,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[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]]=>13
[7,4,2,8,5,6,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[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]]=>17
[6,3,8,2,4,5,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[6,3,8,2,5,7,4,1]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[6,4,3,8,1,5,2,7]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[6,3,7,8,2,4,1,5]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[5,6,7,3,8,2,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[5,4,7,2,6,8,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[5,3,8,2,4,6,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[6,3,8,2,4,7,5,1]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[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]]=>22
[6,5,3,1,4,2,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[5,7,4,2,6,1,3,8]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[5,6,4,2,3,8,1,7]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[5,6,3,7,8,2,4,1]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[5,6,3,8,2,4,7,1]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[6,3,7,2,4,5,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[6,3,7,2,5,8,4,1]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[5,3,6,8,2,4,7,1]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[5,4,6,2,3,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[5,3,6,7,8,2,4,1]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[3,6,4,2,1,5,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[3,5,8,6,4,2,1,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[5,8,6,3,4,2,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[5,6,3,4,2,1,8,7]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[6,3,4,2,1,5,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[5,6,4,2,1,3,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[2,5,4,1,7,8,6,3]=>[[1,2,5,6],[3,7],[4,8]]=>10
[2,7,8,5,4,1,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[2,8,5,4,1,6,3,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[2,6,3,8,5,4,1,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[2,8,6,3,5,4,1,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>15
[5,8,6,4,2,1,3,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[4,2,1,5,7,8,6,3]=>[[1,4,5,6],[2,7],[3,8]]=>11
[2,7,8,6,3,5,4,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[4,3,8,5,7,6,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[7,6,2,1,8,4,3,5]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[2,1,8,5,6,4,3,7]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[4,2,1,8,5,6,3,7]=>[[1,4,6,8],[2,5],[3,7]]=>15
[8,4,2,1,5,6,3,7]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[2,5,6,3,8,4,1,7]=>[[1,2,3,5],[4,6,8],[7]]=>10
[6,3,4,2,1,8,5,7]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[3,7,8,5,6,4,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[3,8,5,6,4,2,1,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[3,6,4,2,1,8,5,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[3,8,6,4,2,1,5,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[3,7,8,6,4,2,1,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[8,5,3,7,6,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[7,6,2,4,1,8,5,3]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[8,5,4,1,7,6,2,3]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[7,6,2,3,8,5,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[2,1,7,8,6,4,3,5]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[2,1,6,4,3,7,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>14
[6,4,2,1,3,7,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[6,3,7,8,4,2,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[7,8,4,2,1,6,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[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]]=>14
[2,6,1,7,5,8,4,3]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[8,4,2,3,7,5,6,1]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[8,5,7,6,2,1,4,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[4,8,5,7,6,2,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[4,7,6,2,1,3,8,5]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[7,5,6,1,8,4,2,3]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[2,7,5,8,4,3,6,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[2,8,4,3,6,1,7,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[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]]=>17
[6,5,3,2,8,4,1,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[6,5,2,7,8,4,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[6,4,3,2,5,8,1,7]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[6,3,7,2,5,4,1,8]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[6,3,2,7,5,4,1,8]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[8,4,2,6,3,1,7,5]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[1,5,3,7,4,2,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>12
[1,6,7,3,4,2,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>7
[8,6,5,2,3,1,7,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[1,7,6,3,4,2,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[1,8,6,3,2,5,7,4]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[8,7,5,2,1,4,6,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[7,8,5,2,1,4,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[6,8,5,2,3,1,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[5,8,6,2,3,1,7,4]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[4,8,2,6,3,1,7,5]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[3,2,8,6,4,1,7,5]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[3,2,1,7,5,4,8,6]=>[[1,4,7],[2,5,8],[3,6]]=>14
[4,1,3,7,5,2,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>13
[5,1,7,3,4,2,8,6]=>[[1,3,5,7],[2,4,8],[6]]=>17
[7,1,6,3,2,5,8,4]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[1,2,7,4,3,6,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>7
[6,1,8,2,4,5,7,3]=>[[1,3,5,6,7],[2,4],[8]]=>14
[5,1,8,3,2,6,7,4]=>[[1,3,6,7],[2,4],[5,8]]=>15
[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]]=>11
[5,8,7,2,1,4,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[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]]=>7
[8,6,7,1,3,4,5,2]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[7,6,8,1,3,4,5,2]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[6,5,8,2,3,1,7,4]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[1,6,8,3,2,5,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>11
[1,5,3,8,2,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>16
[8,4,2,7,1,5,6,3]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[7,4,2,8,1,5,6,3]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[6,4,2,8,3,1,7,5]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[5,4,2,3,8,1,7,6]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[4,5,2,3,1,6,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>8
[7,4,2,1,3,6,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[8,4,2,1,3,6,7,5]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[1,5,3,2,4,7,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>8
[8,5,1,3,2,6,7,4]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[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]]=>13
[4,7,2,1,3,6,8,5]=>[[1,2,6,7],[3,5],[4,8]]=>13
[5,7,1,3,2,6,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>9
[6,7,1,2,4,5,8,3]=>[[1,2,5,6,7],[3,4],[8]]=>8
[8,6,1,2,4,5,7,3]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[1,8,2,3,5,6,7,4]=>[[1,2,4,5,6,7],[3],[8]]=>8
[8,7,1,2,4,5,6,3]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[7,8,1,2,4,5,6,3]=>[[1,2,5,6,7],[3,4],[8]]=>8
[5,8,1,3,2,6,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>9
[4,8,2,1,3,6,7,5]=>[[1,2,6,7],[3,5],[4,8]]=>13
[4,1,3,2,5,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>14
[5,1,2,4,3,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>13
[5,4,8,1,2,3,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>19
[1,4,7,6,3,2,5,8]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[4,8,3,2,7,6,1,5]=>[[1,2],[3,5],[4,6],[7,8]]=>16
[4,3,8,2,7,1,6,5]=>[[1,3],[2,5],[4,7],[6,8]]=>24
[4,3,2,8,1,7,6,5]=>[[1,4],[2,6],[3,7],[5,8]]=>20
[4,1,8,7,3,2,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[4,7,8,1,2,5,3,6]=>[[1,2,3,8],[4,5,6],[7]]=>6
[2,3,6,7,4,1,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>6
[2,6,3,4,7,8,1,5]=>[[1,2,4,5,6],[3,8],[7]]=>10
[3,1,7,8,4,2,5,6]=>[[1,3,4,8],[2,5,7],[6]]=>14
[3,7,8,2,6,4,1,5]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[3,7,2,4,8,6,1,5]=>[[1,2,5],[3,4,6],[7,8]]=>11
[1,3,6,4,7,2,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>11
[4,7,1,5,8,2,3,6]=>[[1,2,5,8],[3,4,7],[6]]=>12
[8,7,5,2,6,3,4,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[8,6,5,2,7,3,4,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[7,4,8,5,6,3,2,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[3,4,6,7,8,5,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>5
[1,2,6,4,7,5,8,3]=>[[1,2,3,5,7],[4,6],[8]]=>10
[3,1,7,5,4,2,6,8]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[6,3,8,5,4,7,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[1,6,2,5,4,7,8,3]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[1,8,2,5,6,3,7,4]=>[[1,2,4,5,7],[3,8],[6]]=>11
[1,2,6,4,8,5,7,3]=>[[1,2,3,5,7],[4,6],[8]]=>10
[7,8,3,1,4,2,5,6]=>[[1,2,7,8],[3,5],[4,6]]=>12
[4,8,1,5,2,3,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>7
[7,4,1,5,2,3,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[5,6,1,8,4,3,2,7]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[5,1,8,6,4,3,2,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[5,1,6,3,8,7,2,4]=>[[1,3,5],[2,4,6],[7,8]]=>17
[6,1,2,5,8,3,7,4]=>[[1,3,4,5],[2,7],[6,8]]=>14
[6,1,8,7,4,3,2,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[7,1,2,5,4,8,6,3]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[1,2,7,5,8,3,6,4]=>[[1,2,3,5],[4,7],[6,8]]=>12
[4,1,6,3,7,5,2,8]=>[[1,3,5,8],[2,4,6],[7]]=>16
[1,3,6,7,8,5,2,4]=>[[1,2,3,4,5],[6,8],[7]]=>5
[1,2,6,4,7,8,5,3]=>[[1,2,3,5,6],[4,7],[8]]=>8
[4,1,6,3,7,8,2,5]=>[[1,3,5,6],[2,4,8],[7]]=>16
[3,1,6,4,8,2,7,5]=>[[1,3,5],[2,4,7],[6,8]]=>19
[7,8,4,1,6,3,2,5]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[4,1,6,3,8,7,2,5]=>[[1,3,5],[2,4,6],[7,8]]=>17
[7,5,1,8,4,3,2,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[6,5,1,7,4,3,2,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[4,1,8,5,2,3,7,6]=>[[1,3,6,7],[2,4,8],[5]]=>14
[4,1,6,8,3,7,2,5]=>[[1,3,4],[2,5,6],[7,8]]=>13
[5,4,6,1,3,8,2,7]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[6,5,8,1,4,3,2,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[1,3,5,7,4,6,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>6
[1,3,5,4,7,2,6,8]=>[[1,2,3,5,8],[4,7],[6]]=>11
[1,3,5,4,7,8,2,6]=>[[1,2,3,5,6],[4,8],[7]]=>9
[1,3,5,4,7,2,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>10
[1,3,5,7,4,8,2,6]=>[[1,2,3,4,6],[5,8],[7]]=>8
[1,3,5,7,4,8,6,2]=>[[1,2,3,4,6],[5,7],[8]]=>7
[1,3,5,7,8,4,2,6]=>[[1,2,3,4,5],[6,8],[7]]=>5
[1,6,3,2,7,4,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>11
[3,5,1,6,2,8,7,4]=>[[1,2,4,6],[3,5,7],[8]]=>13
[1,3,7,2,5,4,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>7
[1,3,7,5,2,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>10
[2,5,7,4,3,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[2,5,3,7,4,8,1,6]=>[[1,2,4,6],[3,5,8],[7]]=>14
[3,2,6,7,8,1,5,4]=>[[1,3,4,5],[2,7],[6,8]]=>14
[3,5,2,7,8,4,1,6]=>[[1,2,4,5],[3,6,8],[7]]=>11
[1,5,7,4,8,3,2,6]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[3,5,2,6,8,4,7,1]=>[[1,2,4,5],[3,6,7],[8]]=>10
[2,5,7,4,3,8,6,1]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[1,5,7,2,4,8,6,3]=>[[1,2,3,6],[4,5,7],[8]]=>8
[4,6,3,7,2,8,5,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[1,4,7,3,8,6,2,5]=>[[1,2,3,5],[4,6],[7,8]]=>10
[5,1,6,8,2,4,3,7]=>[[1,3,4,8],[2,5,6],[7]]=>12
[5,3,7,8,2,4,1,6]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[8,5,3,7,2,4,1,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[8,2,4,7,3,1,5,6]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[2,4,7,8,3,1,5,6]=>[[1,2,3,4],[5,7,8],[6]]=>7
[6,3,1,5,8,2,4,7]=>[[1,4,5,8],[2,6,7],[3]]=>11
[6,5,3,4,2,8,1,7]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[5,2,4,3,8,1,6,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[3,2,4,8,1,5,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>15
[3,2,4,6,8,1,5,7]=>[[1,3,4,5],[2,7,8],[6]]=>13
[8,1,5,7,3,2,4,6]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[8,4,6,7,2,3,1,5]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[4,6,7,8,2,3,1,5]=>[[1,2,3,4],[5,6,8],[7]]=>6
[7,4,6,8,2,3,1,5]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[7,2,4,8,3,1,5,6]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[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]]=>10
[4,6,8,7,2,3,1,5]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[8,7,4,6,2,3,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[5,6,8,7,2,3,1,4]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[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]]=>16
[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]]=>20
[5,7,6,8,2,3,1,4]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[4,7,6,8,2,3,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[8,6,4,7,2,3,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[8,2,3,7,4,1,6,5]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[2,3,7,8,4,1,6,5]=>[[1,2,3,4],[5,7],[6,8]]=>8
[3,7,4,8,2,5,1,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[2,3,7,4,1,6,8,5]=>[[1,2,3,6,7],[4,8],[5]]=>7
[8,1,6,4,2,3,7,5]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[4,7,8,6,2,3,1,5]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[2,4,7,3,1,5,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>10
[6,3,1,7,4,2,8,5]=>[[1,4,7],[2,5,8],[3,6]]=>14
[8,5,7,6,2,3,1,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[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]]=>16
[3,1,7,6,4,2,8,5]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[4,8,7,6,2,3,1,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[6,8,7,5,2,3,1,4]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[4,3,6,1,5,8,7,2]=>[[1,3,6],[2,5,7],[4,8]]=>20
[4,3,6,5,1,8,7,2]=>[[1,3,6],[2,4,7],[5,8]]=>16
[4,6,3,5,1,8,7,2]=>[[1,2,6],[3,4,7],[5,8]]=>10
[4,6,3,1,5,8,7,2]=>[[1,2,6],[3,5,7],[4,8]]=>14
[4,1,6,5,3,8,7,2]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[4,6,1,5,3,8,7,2]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[2,6,5,3,1,8,7,4]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[2,6,5,1,8,7,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>12
[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]]=>15
[2,6,5,8,3,1,7,4]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[2,6,5,3,8,1,7,4]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[4,6,1,5,8,3,7,2]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[4,1,6,5,8,3,7,2]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[1,4,6,5,8,3,7,2]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[4,1,6,5,8,7,3,2]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[2,6,5,3,8,7,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[6,4,3,8,7,1,5,2]=>[[1,4],[2,5],[3,7],[6,8]]=>19
[6,4,8,3,7,1,5,2]=>[[1,3],[2,5],[4,7],[6,8]]=>24
[2,6,8,5,3,7,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[4,6,8,1,5,7,3,2]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[4,6,1,8,5,7,3,2]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[4,1,6,8,5,7,3,2]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[1,4,6,8,5,7,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[1,4,6,8,5,3,7,2]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[4,6,1,8,5,3,7,2]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[2,6,8,5,3,1,7,4]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[2,6,8,5,1,7,3,4]=>[[1,2,3],[4,6,8],[5,7]]=>11
[4,6,8,3,5,1,7,2]=>[[1,2,3],[4,5,7],[6,8]]=>9
[4,6,8,3,1,5,7,2]=>[[1,2,3],[4,6,7],[5,8]]=>10
[4,6,3,1,8,5,7,2]=>[[1,2,5],[3,6,7],[4,8]]=>11
[4,6,3,8,1,5,7,2]=>[[1,2,4],[3,6,7],[5,8]]=>15
[4,6,3,8,5,7,1,2]=>[[1,2,4],[3,5,6],[7,8]]=>12
[4,3,6,8,1,5,7,2]=>[[1,3,4],[2,6,7],[5,8]]=>16
[4,3,6,1,8,5,7,2]=>[[1,3,5],[2,6,7],[4,8]]=>17
[4,3,1,6,8,5,7,2]=>[[1,4,5],[2,6,7],[3,8]]=>12
[4,1,3,6,8,7,5,2]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[4,3,6,1,8,7,5,2]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[4,3,6,8,1,7,5,2]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[6,5,2,8,7,3,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[6,5,2,8,7,1,3,4]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[6,2,5,8,7,1,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>14
[6,2,5,8,7,3,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[4,6,3,8,1,7,5,2]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[4,6,3,1,8,7,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[4,1,6,3,8,7,5,2]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[1,4,6,3,8,7,5,2]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[4,1,6,8,3,7,5,2]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[4,6,1,8,3,7,5,2]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[4,6,8,1,3,7,5,2]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[6,2,8,5,7,3,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[6,2,8,5,7,1,3,4]=>[[1,3,5],[2,4,8],[6,7]]=>18
[2,4,8,7,1,5,3,6]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[4,2,8,7,5,3,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[6,4,1,8,7,5,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[6,1,4,8,7,5,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[1,6,4,8,7,3,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[6,4,1,8,7,3,5,2]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[4,2,8,7,5,1,3,6]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[2,4,8,7,3,5,1,6]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[2,3,4,7,8,5,6,1]=>[[1,2,3,4,5],[6,7],[8]]=>4
[2,3,7,1,4,8,6,5]=>[[1,2,3,6],[4,5,7],[8]]=>8
[2,6,1,3,7,8,5,4]=>[[1,2,5,6],[3,4,7],[8]]=>9
[1,5,3,2,6,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>10
[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]]=>11
[1,3,2,7,5,4,8,6]=>[[1,2,4,7],[3,5,8],[6]]=>12
[6,5,2,4,3,7,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>19
[6,4,2,5,3,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[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]]=>15
[1,6,2,8,5,3,4,7]=>[[1,2,4,7,8],[3,5],[6]]=>11
[4,6,2,3,7,5,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>10
[4,7,2,3,6,5,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[4,7,2,3,5,6,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>9
[5,3,2,7,4,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[5,3,2,6,4,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[4,6,2,3,5,7,1,8]=>[[1,2,5,6,8],[3,4],[7]]=>9
[3,5,2,1,6,8,4,7]=>[[1,2,5,6],[3,7,8],[4]]=>9
[1,5,2,6,8,4,3,7]=>[[1,2,4,5],[3,6,8],[7]]=>11
[1,5,7,2,8,4,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>10
[3,5,2,1,8,6,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>11
[3,6,8,4,2,1,5,7]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[4,3,2,6,1,8,5,7]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[1,5,8,2,7,4,3,6]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[1,7,2,3,4,8,6,5]=>[[1,2,4,5,6],[3,7],[8]]=>9
[6,8,2,3,4,1,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>12
[4,1,8,2,3,5,7,6]=>[[1,3,5,6,7],[2,4],[8]]=>14
[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]]=>11
[7,8,1,4,3,5,2,6]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[7,1,2,3,4,6,8,5]=>[[1,3,4,5,6,7],[2],[8]]=>9
[6,1,2,3,4,8,7,5]=>[[1,3,4,5,6],[2,7],[8]]=>10
[1,8,2,3,4,7,6,5]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[8,1,2,3,4,6,7,5]=>[[1,3,4,5,6,7],[2],[8]]=>9
[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]]=>19
[8,3,2,1,4,5,7,6]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[3,8,2,1,5,6,4,7]=>[[1,2,6,8],[3,5],[4,7]]=>14
[3,8,2,1,6,5,4,7]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[1,7,8,3,5,4,2,6]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[7,4,1,8,3,5,2,6]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[8,4,1,7,3,5,2,6]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[3,8,4,6,2,1,5,7]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[8,4,2,5,3,1,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[8,5,2,4,3,1,6,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[8,3,2,5,4,1,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[4,3,2,5,1,8,6,7]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[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]]=>6
[1,8,7,3,5,4,2,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>15
[5,1,8,2,7,4,3,6]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[5,1,7,2,8,4,3,6]=>[[1,3,5,8],[2,4,6],[7]]=>16
[6,1,2,8,5,3,4,7]=>[[1,3,4,7,8],[2,5],[6]]=>12
[6,3,2,1,8,4,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[7,3,2,8,4,5,1,6]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[2,7,8,4,3,5,1,6]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[7,1,8,3,5,4,2,6]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[7,8,2,3,4,6,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>10
[6,7,1,3,4,8,2,5]=>[[1,2,5,6],[3,4,8],[7]]=>10
[6,8,1,3,4,7,2,5]=>[[1,2,5,6],[3,4],[7,8]]=>10
[1,7,2,3,4,6,8,5]=>[[1,2,4,5,6,7],[3],[8]]=>8
[1,6,2,3,4,8,7,5]=>[[1,2,4,5,6],[3,7],[8]]=>9
[7,6,2,3,4,1,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[8,6,2,3,4,1,7,5]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[8,1,7,3,5,4,2,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>21
[8,3,2,7,4,5,1,6]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[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]]=>13
[8,6,2,3,4,7,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[6,3,4,8,7,5,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[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]]=>15
[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]]=>14
[5,8,4,1,2,6,7,3]=>[[1,2,6,7],[3,5],[4,8]]=>13
[5,3,7,2,6,1,8,4]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[5,2,8,1,6,3,7,4]=>[[1,3,7],[2,5,8],[4,6]]=>19
[5,8,2,1,4,7,6,3]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[4,8,2,5,1,7,6,3]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[7,8,4,1,2,6,5,3]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[4,8,1,5,2,7,6,3]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[5,8,1,2,4,7,6,3]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[5,2,8,3,6,7,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>16
[3,8,7,6,2,4,1,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[2,8,7,6,4,1,3,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[7,8,2,6,5,1,3,4]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[1,8,7,6,4,2,3,5]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[2,8,7,6,3,1,4,5]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[1,8,7,6,2,4,3,5]=>[[1,2,6,8],[3],[4],[5],[7]]=>14
[1,8,7,6,3,4,2,5]=>[[1,2,6,8],[3],[4],[5],[7]]=>14
[2,8,1,4,5,6,7,3]=>[[1,2,5,6,7],[3,4],[8]]=>8
[2,1,7,3,6,5,8,4]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[3,1,7,2,6,5,8,4]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[3,2,7,1,6,5,8,4]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[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]]=>16
[6,3,1,8,5,7,2,4]=>[[1,4,6],[2,5,8],[3,7]]=>16
[6,4,2,1,7,5,8,3]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[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]]=>10
[1,3,7,2,6,8,5,4]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[7,8,2,6,5,3,1,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[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]]=>10
[2,8,7,6,4,3,1,5]=>[[1,2,8],[3],[4],[5],[6],[7]]=>16
[3,8,7,6,1,2,5,4]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[3,8,7,6,2,1,5,4]=>[[1,2],[3,7],[4,8],[5],[6]]=>15
[4,8,7,6,2,1,3,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[4,8,7,6,1,3,2,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[3,8,7,6,4,1,2,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[7,8,3,6,5,1,2,4]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[2,3,7,5,6,8,1,4]=>[[1,2,3,5,6],[4,8],[7]]=>9
[3,8,7,6,4,2,1,5]=>[[1,2,8],[3],[4],[5],[6],[7]]=>16
[5,1,4,6,8,2,3,7]=>[[1,3,4,5],[2,7,8],[6]]=>13
[1,7,6,3,5,4,8,2]=>[[1,2,5,7],[3],[4],[6],[8]]=>16
[4,3,7,2,6,5,1,8]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[3,4,6,1,5,7,2,8]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,6,8,5,7,3,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[2,4,1,5,8,6,3,7]=>[[1,2,4,5,8],[3,6],[7]]=>10
[4,6,1,2,5,8,3,7]=>[[1,2,5,6],[3,4,8],[7]]=>10
[5,6,7,2,1,4,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>11
[7,8,6,5,1,2,4,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[1,3,6,5,7,8,2,4]=>[[1,2,3,5,6],[4,8],[7]]=>9
[7,4,8,5,3,1,6,2]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[6,8,5,2,4,1,7,3]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[2,3,1,6,8,5,7,4]=>[[1,2,4,5],[3,6,7],[8]]=>10
[7,3,2,5,1,4,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[7,1,4,2,3,6,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>14
[1,5,8,3,4,6,7,2]=>[[1,2,3,6,7],[4,5],[8]]=>7
[8,3,1,2,4,7,6,5]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[2,3,8,1,6,5,4,7]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[8,1,4,7,2,5,3,6]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[3,5,2,4,1,7,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>8
[3,4,7,8,6,2,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[3,4,8,6,2,7,1,5]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[5,8,2,1,6,7,3,4]=>[[1,2,6],[3,5,8],[4,7]]=>15
[5,7,2,8,6,4,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[6,1,2,7,5,3,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>13
[7,3,2,8,6,4,1,5]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[2,7,8,4,6,3,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[1,4,5,7,2,6,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>6
[7,3,5,2,6,1,8,4]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,5,2,3,6,1,7,4]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[8,1,6,3,5,7,2,4]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[2,8,6,4,3,7,1,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[8,3,2,6,4,7,1,5]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[2,3,8,7,6,5,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[1,2,8,7,3,6,5,4]=>[[1,2,3,6],[4],[5],[7],[8]]=>13
[4,2,8,7,3,6,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[4,5,8,7,1,2,6,3]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[1,5,8,7,3,2,6,4]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[4,5,8,7,3,2,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[2,6,8,1,7,5,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[3,6,8,4,7,2,1,5]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[2,5,8,3,7,6,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[3,2,8,4,7,6,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[1,5,8,3,7,2,6,4]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[3,5,8,4,7,2,1,6]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[5,6,8,2,3,7,1,4]=>[[1,2,3],[4,5,6],[7,8]]=>7
[1,6,8,4,2,7,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[1,5,8,4,2,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[1,5,8,2,3,7,6,4]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[2,1,8,4,3,7,6,5]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[2,5,8,4,3,7,1,6]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[5,6,8,4,1,2,7,3]=>[[1,2,3],[4,6,7],[5,8]]=>10
[5,6,8,1,3,2,7,4]=>[[1,2,3],[4,5,7],[6,8]]=>9
[1,6,8,4,3,2,7,5]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[5,6,8,4,3,2,1,7]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[7,1,2,8,6,5,4,3]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[7,1,4,8,6,2,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[7,3,1,8,6,2,5,4]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[7,2,4,8,3,6,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[7,1,4,8,3,2,6,5]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[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]]=>16
[1,6,4,8,7,2,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[3,6,4,8,7,2,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[3,2,5,8,7,6,1,4]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[3,2,4,8,7,6,1,5]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[3,1,5,8,7,2,6,4]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[3,1,4,8,7,2,6,5]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[1,6,4,8,2,7,5,3]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[1,4,5,8,2,7,6,3]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[2,4,5,8,3,7,1,6]=>[[1,2,3,4],[5,6],[7,8]]=>6
[4,6,5,8,1,2,7,3]=>[[1,2,4],[3,6,7],[5,8]]=>15
[1,6,4,8,3,2,7,5]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[1,4,5,8,3,2,7,6]=>[[1,2,3,4],[5,7],[6,8]]=>8
[7,6,1,4,8,2,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[7,6,1,3,8,2,5,4]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[7,6,3,4,8,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[7,2,5,1,8,6,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[7,2,5,3,8,6,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[7,2,1,4,8,6,5,3]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[7,2,1,3,8,6,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[7,2,3,4,8,6,1,5]=>[[1,3,4,5],[2,6],[7,8]]=>12
[7,3,5,4,8,2,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[2,6,5,1,8,7,4,3]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[2,3,5,4,8,7,1,6]=>[[1,2,3,5],[4,6],[7,8]]=>10
[1,6,5,4,8,2,7,3]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[1,6,5,3,8,2,7,4]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[1,6,3,4,8,2,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>13
[1,3,5,4,8,2,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>12
[3,6,5,4,8,2,1,7]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[7,6,5,2,3,8,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[7,6,1,4,2,8,5,3]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[7,6,1,2,3,8,5,4]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[7,6,2,4,3,8,1,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[7,1,5,4,2,8,6,3]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[7,1,5,2,3,8,6,4]=>[[1,3,5,6],[2,7],[4,8]]=>16
[7,1,2,4,3,8,6,5]=>[[1,3,4,6],[2,7],[5,8]]=>15
[2,6,5,4,3,8,1,7]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[7,6,1,4,3,2,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[7,1,5,4,3,2,8,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[3,4,2,6,7,8,1,5]=>[[1,2,4,5,6],[3,8],[7]]=>10
[3,1,4,2,6,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>15
[8,3,4,2,6,1,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[2,6,7,3,5,4,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[2,7,8,3,5,4,1,6]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[2,6,8,3,5,4,1,7]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[4,7,1,2,8,5,3,6]=>[[1,2,5,8],[3,4,6],[7]]=>10
[4,8,1,2,7,5,3,6]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[2,1,6,3,7,5,4,8]=>[[1,3,5,8],[2,4,6],[7]]=>16
[2,7,1,3,6,8,4,5]=>[[1,2,5,6],[3,4,8],[7]]=>10
[6,7,3,2,8,1,4,5]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[7,3,4,2,6,1,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[7,4,1,2,8,5,3,6]=>[[1,4,5,8],[2,6],[3,7]]=>12
[8,7,4,2,1,5,3,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[7,4,1,2,6,5,3,8]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[7,4,3,1,5,6,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[6,7,4,1,5,8,3,2]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[4,7,5,1,6,8,3,2]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[4,5,3,1,7,6,8,2]=>[[1,2,5,7],[3,6],[4,8]]=>12
[4,6,1,2,7,5,3,8]=>[[1,2,5,8],[3,4,6],[7]]=>10
[2,7,1,3,6,5,4,8]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[4,1,8,2,6,5,3,7]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[4,6,1,2,8,5,3,7]=>[[1,2,5,8],[3,4,6],[7]]=>10
[8,4,3,1,5,6,7,2]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[4,5,3,1,8,6,7,2]=>[[1,2,5,7],[3,6],[4,8]]=>12
[4,8,5,6,3,1,7,2]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[5,1,3,4,8,6,7,2]=>[[1,3,4,5,7],[2,6],[8]]=>12
[5,4,3,8,1,6,7,2]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[8,5,3,4,1,6,7,2]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[6,4,8,2,1,5,3,7]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[6,7,3,2,5,1,4,8]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[6,8,3,2,5,1,4,7]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[5,7,1,4,6,8,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[5,1,3,4,7,6,8,2]=>[[1,3,4,5,7],[2,6],[8]]=>12
[6,1,4,2,7,5,3,8]=>[[1,3,5,8],[2,6],[4,7]]=>17
[5,4,3,7,1,6,8,2]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[6,7,5,4,1,8,3,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[7,6,4,2,1,5,3,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[8,2,7,6,5,4,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>23
[7,2,8,6,5,4,3,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>22
[8,7,2,6,5,4,1,3]=>[[1,4],[2,8],[3],[5],[6],[7]]=>22
[3,2,8,7,6,5,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[4,8,7,6,5,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[7,8,6,1,5,4,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>20
[7,3,8,6,5,4,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>22
[4,8,5,7,6,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[3,8,7,4,6,5,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>19
[2,8,7,6,3,5,4,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>18
[8,5,6,1,3,2,4,7]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[8,6,1,5,3,2,4,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[7,8,1,5,3,2,4,6]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[8,1,7,5,3,2,4,6]=>[[1,3,7,8],[2],[4],[5],[6]]=>18
[8,6,1,4,5,2,3,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[8,6,3,1,5,2,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[8,4,6,1,5,2,3,7]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[8,6,2,1,5,4,3,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[8,5,2,6,1,4,3,7]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[8,5,2,1,7,4,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[7,8,2,1,5,4,3,6]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[7,8,3,1,5,2,4,6]=>[[1,2,7,8],[3,5],[4,6]]=>12
[8,2,7,5,1,3,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[8,4,1,7,5,2,3,6]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[8,2,7,1,5,4,3,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[8,2,6,1,7,4,3,5]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[8,1,7,4,3,2,6,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[8,1,5,7,3,2,6,4]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[5,7,8,1,3,2,6,4]=>[[1,2,3],[4,5,7],[6,8]]=>9
[8,2,6,1,5,7,3,4]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[5,8,1,6,7,2,3,4]=>[[1,2,5,8],[3,4,7],[6]]=>12
[5,7,6,1,8,2,3,4]=>[[1,2,5,8],[3,6,7],[4]]=>10
[6,7,2,5,1,8,3,4]=>[[1,2,6],[3,4,8],[5,7]]=>11
[7,5,1,6,8,2,3,4]=>[[1,4,5,8],[2,6,7],[3]]=>11
[6,5,7,1,8,2,3,4]=>[[1,3,5,8],[2,6,7],[4]]=>16
[6,7,3,8,1,2,4,5]=>[[1,2,4,8],[3,6,7],[5]]=>14
[7,5,4,1,8,2,3,6]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[7,6,1,4,8,2,3,5]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[8,1,6,4,7,2,3,5]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[7,5,8,1,3,2,4,6]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[7,8,4,1,3,2,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[8,3,7,4,1,2,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[8,5,1,7,3,2,4,6]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[6,8,1,7,3,2,4,5]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[7,1,8,4,3,6,2,5]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[7,3,1,8,6,4,2,5]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[8,3,1,7,4,6,2,5]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[8,4,5,1,7,2,3,6]=>[[1,3,5,8],[2,6,7],[4]]=>16
[5,6,8,1,7,2,3,4]=>[[1,2,3,8],[4,5,7],[6]]=>8
[6,5,8,1,2,7,3,4]=>[[1,3,6,8],[2,5],[4,7]]=>20
[7,3,1,8,5,6,2,4]=>[[1,4,6],[2,5,8],[3,7]]=>16
[6,2,7,8,3,1,5,4]=>[[1,3,4],[2,5,7],[6,8]]=>15
[5,8,1,7,3,2,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[8,4,1,7,3,2,6,5]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[8,3,4,7,1,2,6,5]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[8,2,7,4,1,3,6,5]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[7,4,8,2,1,3,6,5]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[7,4,3,8,1,2,6,5]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[8,2,3,6,7,1,5,4]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[7,8,5,2,3,6,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[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]]=>12
[3,5,2,4,6,8,1,7]=>[[1,2,5,6],[3,4,8],[7]]=>10
[2,4,5,7,3,6,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>6
[2,4,5,3,6,8,1,7]=>[[1,2,3,5,6],[4,8],[7]]=>9
[5,2,4,6,8,1,3,7]=>[[1,3,4,5],[2,7,8],[6]]=>13
[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]]=>18
[4,3,5,7,2,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[4,3,5,7,2,6,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[4,6,3,7,2,5,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[4,6,3,1,7,8,2,5]=>[[1,2,5,6],[3,7,8],[4]]=>9
[4,3,5,1,7,8,2,6]=>[[1,3,5,6],[2,7,8],[4]]=>15
[5,7,1,3,4,8,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>10
[5,7,1,3,4,6,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>8
[4,5,7,1,3,6,8,2]=>[[1,2,3,7],[4,5,6],[8]]=>7
[4,3,6,7,1,5,8,2]=>[[1,3,4,7],[2,6],[5,8]]=>17
[4,6,3,5,1,7,8,2]=>[[1,2,6,7],[3,4],[5,8]]=>9
[4,6,3,5,7,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[3,5,6,4,1,7,8,2]=>[[1,2,3,6,7],[4,8],[5]]=>7
[3,1,5,6,7,4,8,2]=>[[1,3,4,5,7],[2,6],[8]]=>12
[5,1,6,7,3,4,8,2]=>[[1,3,4,7],[2,5,6],[8]]=>13
[6,4,7,1,3,5,8,2]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[1,6,7,3,4,5,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>7
[2,6,7,4,5,8,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>9
[2,6,7,4,8,1,3,5]=>[[1,2,3,5],[4,7,8],[6]]=>11
[5,3,6,1,2,7,8,4]=>[[1,3,6,7],[2,5,8],[4]]=>18
[3,5,2,6,1,7,8,4]=>[[1,2,4,6,7],[3,8],[5]]=>12
[3,5,2,6,7,4,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>11
[5,2,3,6,7,4,8,1]=>[[1,3,4,5,7],[2,6],[8]]=>12
[5,2,3,6,1,7,8,4]=>[[1,3,4,6,7],[2,8],[5]]=>13
[5,2,6,1,3,7,8,4]=>[[1,3,6,7],[2,5,8],[4]]=>18
[4,2,6,7,3,5,8,1]=>[[1,3,4,7],[2,5,6],[8]]=>13
[6,3,7,2,4,5,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[3,5,7,2,8,1,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>11
[3,7,2,4,8,1,5,6]=>[[1,2,5,8],[3,4,7],[6]]=>12
[7,2,4,6,8,1,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>13
[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]]=>10
[3,5,7,2,6,8,1,4]=>[[1,2,3,6],[4,5],[7,8]]=>9
[6,3,7,2,5,8,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[6,3,5,7,2,8,1,4]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[6,3,5,7,2,4,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[6,2,4,5,7,3,8,1]=>[[1,3,4,5,7],[2],[6],[8]]=>14
[6,2,4,5,1,7,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>13
[4,7,1,2,5,6,8,3]=>[[1,2,5,6,7],[3,4],[8]]=>8
[2,6,7,5,8,1,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>11
[4,6,7,1,2,5,8,3]=>[[1,2,3,7],[4,5,6],[8]]=>7
[5,6,2,4,7,3,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[5,4,2,6,7,3,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[5,4,2,6,1,7,8,3]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[1,5,4,6,2,7,8,3]=>[[1,2,4,6,7],[3,8],[5]]=>12
[5,6,4,1,2,7,8,3]=>[[1,2,6,7],[3,5,8],[4]]=>12
[6,4,5,1,2,7,8,3]=>[[1,3,6,7],[2,5,8],[4]]=>18
[6,3,5,1,7,8,2,4]=>[[1,3,5,6],[2,7,8],[4]]=>15
[6,5,7,2,8,1,3,4]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[6,5,7,1,3,4,8,2]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[5,6,4,7,1,3,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[5,4,6,3,1,7,8,2]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[7,5,3,2,4,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[8,4,5,2,6,1,3,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[8,5,4,2,1,6,3,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[8,5,3,4,1,6,2,7]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[8,4,5,3,1,6,2,7]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[7,5,4,2,1,8,3,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[7,5,4,2,1,6,8,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[7,4,5,3,1,6,8,2]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[7,4,3,5,6,1,8,2]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[5,6,3,7,4,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>13
[5,6,7,3,1,4,8,2]=>[[1,2,3,7],[4,6],[5,8]]=>11
[6,7,3,4,1,5,8,2]=>[[1,2,6,7],[3,4],[5,8]]=>9
[6,7,4,2,1,5,8,3]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[5,6,7,3,1,8,2,4]=>[[1,2,3,6],[4,7,8],[5]]=>8
[5,6,3,7,8,1,2,4]=>[[1,2,4,5],[3,7,8],[6]]=>12
[5,6,3,7,2,4,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[5,6,7,2,3,8,1,4]=>[[1,2,3,6],[4,5,8],[7]]=>9
[7,4,5,2,8,1,3,6]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[6,7,3,2,4,8,1,5]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[7,6,4,2,1,3,8,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[7,6,3,4,1,2,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[7,6,3,2,4,1,8,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[6,7,3,2,5,1,8,4]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[6,5,3,2,7,8,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[6,5,3,2,7,4,8,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[6,4,5,2,7,3,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[6,4,5,2,7,8,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[7,4,5,2,6,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[7,4,5,6,1,2,8,3]=>[[1,3,4,7],[2,6,8],[5]]=>16
[7,5,6,2,1,3,8,4]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[6,7,3,5,1,2,8,4]=>[[1,2,7],[3,4,8],[5,6]]=>9
[5,6,7,4,1,2,8,3]=>[[1,2,3,7],[4,6,8],[5]]=>10
[5,6,7,2,4,1,8,3]=>[[1,2,3,7],[4,5],[6,8]]=>8
[5,6,4,2,7,8,1,3]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[6,5,7,2,1,8,3,4]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[6,5,7,2,1,4,8,3]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[5,4,6,7,3,1,8,2]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[3,7,8,5,6,1,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[1,7,8,5,6,3,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[1,7,5,8,6,3,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[3,7,5,8,6,1,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[5,7,3,8,6,4,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[1,5,7,8,6,3,4,2]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[1,5,7,8,3,6,4,2]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[5,3,7,8,1,6,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[7,8,1,5,6,3,4,2]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[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]]=>15
[5,1,7,8,3,6,4,2]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[3,1,7,8,5,6,4,2]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[1,3,7,8,5,6,4,2]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[3,1,7,5,8,6,4,2]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[5,1,7,3,8,6,4,2]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[7,1,5,3,8,6,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[7,1,5,8,3,6,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[7,3,5,8,1,6,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[5,3,7,1,8,6,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[3,5,7,1,8,6,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[1,7,5,3,8,6,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[5,7,3,1,8,6,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[5,7,3,8,6,1,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[3,7,5,8,1,6,4,2]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[1,7,5,8,3,6,4,2]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[1,7,8,5,3,6,4,2]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[5,7,8,6,3,1,4,2]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[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]]=>10
[3,7,8,1,5,6,4,2]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[1,7,8,3,5,6,4,2]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[1,7,3,8,5,6,4,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[3,7,1,8,5,6,4,2]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[5,7,1,8,3,6,4,2]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[5,7,1,8,6,3,4,2]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[7,5,1,8,6,3,4,2]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[7,5,8,1,6,3,4,2]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[7,8,5,1,6,3,4,2]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[7,5,8,1,3,6,4,2]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[7,5,1,8,3,6,4,2]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[7,5,1,3,8,6,4,2]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[5,7,1,3,8,6,4,2]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[3,7,1,5,8,6,4,2]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[1,7,3,5,8,6,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[1,5,3,7,8,6,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[3,5,1,7,8,6,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[5,3,1,7,8,6,4,2]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[7,3,1,5,8,6,4,2]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[7,3,1,8,5,6,4,2]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[7,8,3,1,5,6,4,2]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[7,1,8,3,5,6,4,2]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[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]]=>13
[3,1,5,7,8,6,4,2]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[5,7,3,4,8,6,1,2]=>[[1,2,5],[3,4,6],[7,8]]=>11
[5,7,3,4,8,1,6,2]=>[[1,2,5],[3,4,7],[6,8]]=>13
[5,7,3,4,1,8,6,2]=>[[1,2,6],[3,4,7],[5,8]]=>10
[5,7,3,1,4,6,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>14
[5,7,3,1,4,8,6,2]=>[[1,2,6],[3,5,7],[4,8]]=>14
[5,3,7,4,1,2,6,8]=>[[1,3,7,8],[2,4],[5,6]]=>14
[5,3,7,1,4,2,6,8]=>[[1,3,7,8],[2,5],[4,6]]=>18
[5,3,7,1,4,2,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>19
[3,7,5,1,2,8,6,4]=>[[1,2,6],[3,5,7],[4,8]]=>14
[7,8,3,5,1,2,6,4]=>[[1,2,7],[3,4,8],[5,6]]=>9
[7,3,5,8,1,2,6,4]=>[[1,3,4],[2,6,7],[5,8]]=>16
[3,7,5,1,2,6,8,4]=>[[1,2,6,7],[3,5,8],[4]]=>12
[6,1,4,3,5,2,8,7]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[2,5,7,3,8,4,1,6]=>[[1,2,3,5],[4,6,8],[7]]=>10
[5,4,7,8,6,1,3,2]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[7,5,6,2,8,3,1,4]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[4,7,2,5,8,3,1,6]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[6,2,4,5,1,3,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>16
[5,1,4,6,3,2,8,7]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[3,5,6,2,4,1,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>7
[3,8,6,7,5,4,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[6,2,7,8,3,4,1,5]=>[[1,3,4,8],[2,5,6],[7]]=>12
[2,5,3,4,8,1,7,6]=>[[1,2,4,5],[3,7],[6,8]]=>13
[8,7,1,2,5,3,4,6]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[5,1,8,2,3,4,7,6]=>[[1,3,5,6,7],[2,4],[8]]=>14
[5,4,7,6,2,8,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[3,7,8,1,5,4,6,2]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[7,1,3,4,6,8,5,2]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[8,3,6,5,7,1,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[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]]=>12
[4,7,2,6,3,8,5,1]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[2,1,8,4,6,7,3,5]=>[[1,3,5,6],[2,4,8],[7]]=>16
[4,7,8,6,3,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[3,8,1,5,6,7,2,4]=>[[1,2,5,6],[3,4,8],[7]]=>10
[6,7,2,4,8,5,3,1]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[2,8,3,6,7,5,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[8,2,1,7,6,3,5,4]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[3,2,4,5,8,1,7,6]=>[[1,3,4,5],[2,7],[6,8]]=>14
[7,4,6,3,2,1,8,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[4,7,3,2,1,8,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[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]]=>20
[4,8,7,2,3,1,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[4,2,3,1,8,7,5,6]=>[[1,3,5,8],[2,6],[4,7]]=>17
[7,6,8,1,3,5,2,4]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[6,7,5,2,3,1,8,4]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[4,7,2,6,5,1,8,3]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[6,4,2,1,8,5,7,3]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[7,2,1,5,6,8,4,3]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[8,7,2,6,4,1,5,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[6,7,8,2,5,3,1,4]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[2,1,7,3,6,8,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[2,1,5,7,8,4,6,3]=>[[1,3,4,5],[2,6,7],[8]]=>11
[2,5,7,8,3,6,1,4]=>[[1,2,3,4],[5,6],[7,8]]=>6
[6,4,1,5,7,2,8,3]=>[[1,4,5,7],[2,6,8],[3]]=>12
[7,4,8,1,2,5,6,3]=>[[1,3,6,7],[2,5],[4,8]]=>19
[4,2,7,8,6,3,5,1]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[6,1,7,4,3,2,8,5]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[6,8,3,4,2,1,7,5]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[4,2,6,1,5,7,8,3]=>[[1,3,6,7],[2,5],[4,8]]=>19
[2,4,6,7,3,5,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>6
[6,5,8,3,7,4,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>22
[7,1,4,8,3,5,6,2]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[6,8,7,5,3,4,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[4,8,6,3,1,5,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[3,4,8,2,5,7,6,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[2,5,7,4,8,6,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>10
[2,6,3,7,5,1,8,4]=>[[1,2,4,7],[3,5],[6,8]]=>13
[2,6,4,8,7,5,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[6,3,7,2,8,5,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[3,6,2,5,8,7,1,4]=>[[1,2,5],[3,4,6],[7,8]]=>11
[5,2,8,4,7,6,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[7,2,4,8,6,5,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[6,2,4,8,7,5,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[2,4,5,8,7,6,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[4,2,7,3,8,1,6,5]=>[[1,3,5],[2,4,7],[6,8]]=>19
[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]]=>15
[3,1,5,6,2,8,7,4]=>[[1,3,4,6],[2,5,7],[8]]=>14
[4,1,5,2,8,7,6,3]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[4,1,5,3,2,8,7,6]=>[[1,3,6],[2,4,7],[5,8]]=>16
[7,2,3,5,1,8,6,4]=>[[1,3,4,6],[2,7],[5,8]]=>15
[3,4,5,1,8,7,6,2]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[1,4,5,2,8,7,6,3]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[1,6,4,2,8,7,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[7,4,2,5,1,8,6,3]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[4,6,2,7,5,1,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>13
[1,5,3,6,2,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>14
[1,5,8,3,2,7,6,4]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[4,5,8,2,1,7,6,3]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[3,6,2,5,1,4,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>9
[2,4,8,7,1,3,6,5]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[1,3,8,2,4,7,6,5]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[6,3,1,7,2,8,5,4]=>[[1,4,6],[2,5,7],[3,8]]=>15
[7,5,1,2,8,6,4,3]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[1,5,2,3,8,7,6,4]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[4,5,1,2,8,7,6,3]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[6,4,1,2,8,7,5,3]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[5,2,8,1,3,7,6,4]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[4,7,5,6,8,3,1,2]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[8,6,4,7,5,3,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[7,5,2,6,4,1,3,8]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[1,6,3,7,5,8,4,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[1,3,7,4,5,8,6,2]=>[[1,2,3,5,6],[4,7],[8]]=>8
[7,2,6,3,4,1,5,8]=>[[1,3,5,7,8],[2],[4],[6]]=>18
[8,3,7,4,6,5,1,2]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[6,8,4,7,5,3,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[4,8,7,5,6,3,1,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[3,8,7,6,4,5,1,2]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[1,6,5,2,8,3,7,4]=>[[1,2,5,7],[3,6],[4,8]]=>12
[8,6,5,2,1,4,3,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[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]]=>14
[2,7,6,4,5,1,3,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[5,7,2,6,4,1,3,8]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[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]]=>17
[8,1,6,4,3,7,5,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[2,1,7,4,8,6,3,5]=>[[1,3,5],[2,4,6],[7,8]]=>17
[1,8,6,3,7,5,4,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[1,8,2,7,3,6,5,4]=>[[1,2,4,6],[3],[5],[7],[8]]=>18
[2,1,3,8,4,7,5,6]=>[[1,3,4,6,8],[2,5],[7]]=>14
[8,1,2,7,4,3,6,5]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[5,3,1,6,8,4,7,2]=>[[1,4,5],[2,6,7],[3,8]]=>12
[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]]=>16
[8,2,3,1,4,6,5,7]=>[[1,3,5,6,8],[2,7],[4]]=>15
[2,4,8,3,1,5,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>9
[3,4,2,7,1,5,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[4,7,3,8,2,1,5,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[5,2,7,3,1,4,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[8,3,7,2,1,5,4,6]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[1,3,7,2,8,4,6,5]=>[[1,2,3,5],[4,6,7],[8]]=>9
[1,4,2,5,8,6,7,3]=>[[1,2,4,5,7],[3,6],[8]]=>11
[6,5,3,8,2,1,4,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[2,6,4,5,7,1,3,8]=>[[1,2,4,5,8],[3,7],[6]]=>12
[5,4,6,2,7,1,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[7,6,3,1,8,4,5,2]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[7,6,2,1,8,5,3,4]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[1,7,5,8,6,4,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[6,5,1,2,8,3,7,4]=>[[1,4,5,7],[2,6],[3,8]]=>13
[8,6,1,4,3,7,5,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[6,8,4,1,3,7,5,2]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[6,5,7,1,3,8,4,2]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[5,8,3,1,7,4,6,2]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[8,3,1,7,5,4,6,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[1,3,8,7,4,6,5,2]=>[[1,2,3,6],[4],[5],[7],[8]]=>13
[1,2,8,7,6,3,5,4]=>[[1,2,3,7],[4],[5],[6],[8]]=>12
[8,2,1,7,6,4,3,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[2,3,1,8,7,4,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>11
[2,4,1,8,5,7,3,6]=>[[1,2,4,6],[3,5,8],[7]]=>14
[5,8,2,1,7,6,3,4]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[6,2,7,1,8,5,3,4]=>[[1,3,5],[2,6,8],[4,7]]=>18
[8,7,1,6,5,4,3,2]=>[[1,4],[2],[3],[5],[6],[7],[8]]=>26
[7,1,8,3,6,5,4,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[4,1,8,7,5,6,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[3,5,8,7,2,6,4,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[5,8,2,7,1,6,4,3]=>[[1,2],[3,4],[5,6],[7],[8]]=>13
[2,1,6,4,5,8,3,7]=>[[1,3,5,6],[2,4,8],[7]]=>16
[8,6,3,7,5,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[4,6,3,8,5,2,1,7]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[4,6,3,7,5,2,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[3,5,7,8,2,6,1,4]=>[[1,2,3,4],[5,6],[7,8]]=>6
[7,2,3,4,6,8,5,1]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[4,8,3,7,5,1,6,2]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[5,2,3,4,8,7,1,6]=>[[1,3,4,5],[2,6],[7,8]]=>12
[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]]=>20
[3,7,6,4,5,1,8,2]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[4,8,3,7,5,2,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[8,7,3,6,5,1,2,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[4,2,7,5,8,6,3,1]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[5,8,1,7,3,6,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[5,2,7,8,4,6,3,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[5,2,8,3,7,6,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[8,2,7,3,1,6,4,5]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[6,2,3,4,8,5,1,7]=>[[1,3,4,5,8],[2,6],[7]]=>11
[6,2,3,4,1,8,5,7]=>[[1,3,4,6,8],[2,7],[5]]=>14
[7,2,3,4,1,8,6,5]=>[[1,3,4,6],[2,7],[5,8]]=>15
[7,2,3,4,1,5,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>13
[1,2,3,4,8,7,5,6]=>[[1,2,3,4,5,8],[6],[7]]=>4
[1,2,8,5,3,4,6,7]=>[[1,2,3,6,7,8],[4],[5]]=>6
[1,8,4,2,3,5,6,7]=>[[1,2,5,6,7,8],[3],[4]]=>7
[8,6,7,4,1,5,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>22
[4,8,6,7,5,1,3,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[7,1,8,4,6,5,2,3]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[8,7,1,5,4,6,2,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[8,5,7,1,4,6,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[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]]=>19
[8,4,7,1,5,6,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[8,7,1,4,5,6,3,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>15
[8,7,4,5,6,1,3,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[8,7,5,1,4,6,2,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[8,7,2,5,1,4,6,3]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[4,8,7,2,5,1,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[1,6,4,8,5,2,7,3]=>[[1,2,4,7],[3,5],[6,8]]=>13
[8,7,1,4,2,5,6,3]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[8,7,5,1,2,4,6,3]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[7,1,8,5,6,2,3,4]=>[[1,3,5,8],[2,4],[6,7]]=>17
[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]]=>11
[2,3,8,5,7,1,6,4]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[3,8,7,1,5,6,2,4]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[3,5,8,7,1,6,2,4]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[2,3,8,6,7,5,1,4]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[3,2,8,6,7,5,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[4,1,8,6,2,7,5,3]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[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]]=>12
[5,7,1,8,2,6,3,4]=>[[1,2,4,8],[3,5,6],[7]]=>11
[2,8,7,1,5,6,3,4]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[8,7,1,5,2,4,6,3]=>[[1,4,6,7],[2],[3],[5],[8]]=>18
[7,1,8,2,4,6,5,3]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[1,6,2,8,4,7,5,3]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[1,3,8,5,7,2,6,4]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[1,8,3,7,2,5,6,4]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[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]]=>12
[7,1,8,2,3,5,6,4]=>[[1,3,5,6,7],[2,4],[8]]=>14
[8,6,3,7,4,1,5,2]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[4,2,8,6,7,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[8,4,2,7,5,6,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[4,8,3,6,1,7,5,2]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[8,3,4,7,5,1,6,2]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[8,3,7,4,5,1,6,2]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,7,4,2,5,6,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[8,7,5,1,6,2,3,4]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[8,7,2,4,1,5,6,3]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[4,8,6,1,7,2,5,3]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[4,7,1,8,2,6,5,3]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[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]]=>11
[8,2,7,1,6,3,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[8,2,7,1,3,6,4,5]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[2,8,3,6,7,1,5,4]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[8,7,2,1,3,5,6,4]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[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]]=>12
[8,2,7,3,6,1,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[1,8,7,3,6,2,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[1,8,2,7,6,3,4,5]=>[[1,2,4,7,8],[3],[5],[6]]=>13
[8,2,7,4,1,5,6,3]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[8,2,1,7,5,6,3,4]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[8,7,3,1,5,6,2,4]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[2,8,7,3,5,6,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[8,3,1,6,7,5,2,4]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[8,5,2,1,6,7,4,3]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[1,5,2,8,6,7,4,3]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[1,2,8,6,7,5,3,4]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[1,8,3,6,7,5,2,4]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[8,2,3,6,7,5,1,4]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[8,3,7,2,5,6,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[8,1,3,7,5,6,2,4]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[8,4,1,2,7,5,6,3]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[8,1,4,2,6,7,5,3]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[1,2,8,6,7,3,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[8,1,2,7,3,6,4,5]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[8,1,7,3,6,2,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[8,1,7,2,6,3,4,5]=>[[1,3,5,7,8],[2],[4],[6]]=>18
[8,1,7,2,3,6,4,5]=>[[1,3,5,6,8],[2],[4],[7]]=>17
[8,1,3,7,2,5,6,4]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[1,8,3,6,7,2,5,4]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[1,7,8,2,3,6,5,4]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[8,3,7,1,2,5,6,4]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[8,7,1,2,3,6,4,5]=>[[1,4,5,6,8],[2],[3],[7]]=>12
[2,8,5,7,4,6,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[3,1,8,5,7,4,2,6]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[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]]=>20
[2,8,6,4,3,5,7,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>13
[2,6,8,3,5,4,7,1]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[2,7,5,8,4,6,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[8,4,2,7,6,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[4,8,1,7,6,3,2,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[4,1,7,6,2,3,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[3,7,1,8,6,2,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[3,1,7,6,4,5,2,8]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[3,1,7,5,8,4,2,6]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[3,1,6,8,7,5,2,4]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[6,3,8,7,5,2,4,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[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]]=>20
[7,8,3,6,2,5,4,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>13
[7,4,8,2,1,6,3,5]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[8,7,4,6,3,2,5,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>23
[7,8,5,2,1,4,3,6]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[7,5,2,3,1,4,8,6]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[7,4,6,2,3,8,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[6,4,2,5,8,3,7,1]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[4,6,5,8,1,3,2,7]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[4,7,1,5,3,8,2,6]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[4,7,8,1,3,6,2,5]=>[[1,2,3],[4,5,6],[7,8]]=>7
[5,7,1,3,4,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>9
[5,7,1,4,2,3,6,8]=>[[1,2,6,7,8],[3,4],[5]]=>7
[5,8,1,3,2,4,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>7
[4,8,6,1,3,2,7,5]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[8,4,6,2,1,3,7,5]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[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]]=>18
[6,8,3,7,2,5,4,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>13
[5,4,6,8,2,3,7,1]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[5,7,4,2,8,3,6,1]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[6,4,7,2,1,8,3,5]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[6,5,3,4,1,2,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[6,8,5,4,1,3,2,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[6,4,3,7,1,5,2,8]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[7,4,2,6,1,5,3,8]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[7,4,2,5,6,1,3,8]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[6,4,2,8,1,5,7,3]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[6,3,7,8,2,5,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[7,3,5,6,4,2,1,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[7,4,3,1,5,6,2,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[7,4,5,2,6,1,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[5,3,7,2,8,6,4,1]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[5,3,8,2,6,7,4,1]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[6,3,8,2,5,4,7,1]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[6,4,8,2,1,5,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[6,4,3,1,8,2,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[5,3,7,8,2,6,4,1]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[4,7,8,5,6,3,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[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]]=>10
[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]]=>16
[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]]=>16
[4,8,6,7,5,3,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[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]]=>19
[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]]=>15
[5,7,6,4,8,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[5,8,4,6,7,2,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[6,4,2,8,1,7,3,5]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[6,5,2,4,3,7,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>18
[5,4,6,2,8,7,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[5,6,3,8,7,2,4,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[6,7,4,3,1,8,2,5]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[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]]=>14
[4,5,8,6,7,3,2,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>14
[4,6,8,5,7,3,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[5,6,8,3,7,2,4,1]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[5,4,6,8,2,7,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[5,7,8,2,6,4,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[3,6,8,5,7,1,4,2]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[1,7,4,8,6,2,3,5]=>[[1,2,4,8],[3,5],[6,7]]=>12
[3,6,2,5,7,8,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>10
[5,2,7,4,6,8,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>16
[5,3,6,7,1,8,4,2]=>[[1,3,4,6],[2,7],[5,8]]=>15
[4,2,5,6,7,1,8,3]=>[[1,3,4,5,7],[2,8],[6]]=>12
[8,1,3,6,7,2,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>13
[8,1,4,2,7,5,3,6]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[6,1,3,8,2,7,4,5]=>[[1,3,4,8],[2,6],[5,7]]=>16
[1,7,5,2,8,6,3,4]=>[[1,2,5,8],[3,6],[4,7]]=>11
[3,6,4,8,1,5,7,2]=>[[1,2,4,7],[3,6],[5,8]]=>16
[1,5,8,4,2,6,3,7]=>[[1,2,3,8],[4,6],[5,7]]=>10
[3,5,7,4,1,6,8,2]=>[[1,2,3,7],[4,6],[5,8]]=>11
[3,5,7,1,2,6,4,8]=>[[1,2,3,8],[4,5,6],[7]]=>6
[4,5,1,8,2,3,7,6]=>[[1,2,4,7],[3,5,6],[8]]=>12
[4,7,1,8,2,6,3,5]=>[[1,2,4,8],[3,5,6],[7]]=>11
[7,5,1,2,3,8,6,4]=>[[1,4,5,6],[2,7],[3,8]]=>11
[5,2,6,1,3,4,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>18
[7,8,4,5,1,3,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[6,7,1,3,2,5,4,8]=>[[1,2,6,8],[3,4],[5,7]]=>10
[6,7,1,4,3,5,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[7,8,2,3,1,5,4,6]=>[[1,2,6,8],[3,4],[5,7]]=>10
[7,8,2,4,3,5,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[7,8,2,4,1,5,3,6]=>[[1,2,6,8],[3,4],[5,7]]=>10
[1,4,2,6,5,7,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[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]]=>10
[6,7,2,4,3,5,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[6,7,2,3,1,5,4,8]=>[[1,2,6,8],[3,4],[5,7]]=>10
[6,7,3,5,4,8,1,2]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[2,4,1,6,5,7,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,5,2,6,4,7,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[2,5,1,6,4,7,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[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]]=>11
[4,5,2,6,1,7,3,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[4,5,1,6,3,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[4,5,3,6,1,7,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[5,6,3,4,1,7,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>10
[5,6,1,4,3,7,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[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]]=>16
[6,7,4,5,1,3,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[6,7,5,8,1,3,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[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]]=>16
[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]]=>13
[3,4,1,6,5,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[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]]=>14
[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]]=>16
[3,5,4,6,1,7,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[3,5,1,6,4,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,5,3,6,4,7,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,5,3,6,2,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[3,5,2,6,1,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[3,5,2,6,4,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[3,4,2,6,1,7,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[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]]=>13
[2,5,3,6,4,7,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[2,5,3,6,1,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[3,6,2,7,5,4,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[4,6,1,7,3,8,2,5]=>[[1,2,4,6],[3,5,8],[7]]=>14
[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]]=>14
[1,5,7,2,8,3,6,4]=>[[1,2,3,5],[4,6,7],[8]]=>9
[2,5,7,3,1,8,4,6]=>[[1,2,3,6],[4,7,8],[5]]=>8
[2,1,5,6,8,4,3,7]=>[[1,3,4,5],[2,6,8],[7]]=>12
[1,3,7,2,8,5,4,6]=>[[1,2,3,5],[4,6,8],[7]]=>10
[4,6,2,7,1,8,3,5]=>[[1,2,4,6],[3,7,8],[5]]=>13
[1,5,4,3,6,8,2,7]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[1,6,4,5,7,8,3,2]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[2,1,5,6,8,4,7,3]=>[[1,3,4,5],[2,6,7],[8]]=>11
[2,1,5,6,8,7,3,4]=>[[1,3,4,5],[2,6,8],[7]]=>12
[3,6,5,2,7,8,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[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]]=>8
[3,7,4,1,8,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>12
[3,4,6,8,5,7,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[4,2,5,7,3,1,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>13
[4,5,6,2,8,7,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[2,5,6,8,1,7,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[4,5,6,1,8,7,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[4,5,6,3,1,8,7,2]=>[[1,2,3,6],[4,7],[5,8]]=>9
[4,3,6,2,1,7,5,8]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[4,6,3,2,1,7,5,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[4,6,3,1,7,5,2,8]=>[[1,2,5,8],[3,6],[4,7]]=>11
[4,5,3,7,6,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>13
[4,5,1,7,3,8,6,2]=>[[1,2,4,6],[3,5,7],[8]]=>13
[2,5,7,1,4,3,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>7
[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]]=>17
[4,3,2,6,1,7,5,8]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[5,3,2,1,6,4,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[5,3,1,6,2,7,4,8]=>[[1,4,6,8],[2,5,7],[3]]=>14
[5,1,6,3,2,7,4,8]=>[[1,3,6,8],[2,4,7],[5]]=>15
[2,6,1,4,7,5,3,8]=>[[1,2,5,8],[3,4,6],[7]]=>10
[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]]=>13
[5,1,6,3,7,4,2,8]=>[[1,3,5,8],[2,4,6],[7]]=>16
[5,3,6,4,2,1,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[5,3,2,6,4,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[5,2,1,6,3,7,4,8]=>[[1,4,6,8],[2,5,7],[3]]=>14
[5,2,6,3,1,7,4,8]=>[[1,3,6,8],[2,4,7],[5]]=>15
[4,2,6,3,1,7,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>14
[3,6,2,1,7,4,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>10
[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]]=>11
[2,4,7,1,3,6,5,8]=>[[1,2,3,8],[4,5,6],[7]]=>6
[2,6,1,3,7,5,4,8]=>[[1,2,5,8],[3,4,6],[7]]=>10
[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]]=>16
[5,2,6,4,3,1,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[5,2,1,6,4,3,7,8]=>[[1,4,7,8],[2,5],[3,6]]=>13
[5,4,2,1,6,3,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[5,4,2,6,3,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[5,4,1,6,2,7,3,8]=>[[1,4,6,8],[2,5,7],[3]]=>14
[5,1,6,4,2,7,3,8]=>[[1,3,6,8],[2,4,7],[5]]=>15
[3,6,1,7,5,4,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[2,6,1,5,4,3,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[3,1,6,2,5,4,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>16
[5,1,6,4,3,2,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[5,4,1,6,3,2,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[5,4,3,1,6,2,7,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[7,3,1,6,5,4,8,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[7,2,8,1,5,4,3,6]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[4,2,7,6,5,8,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[3,8,2,6,5,4,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[7,3,2,1,5,4,6,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[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]]=>20
[3,8,7,2,5,4,1,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[7,5,1,6,8,4,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[7,4,2,1,5,6,3,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[7,2,8,6,5,1,3,4]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[5,3,2,6,7,4,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[4,3,7,2,5,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[6,7,1,4,3,2,5,8]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[3,4,2,6,7,1,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>12
[3,7,1,6,5,2,4,8]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[3,5,6,2,4,7,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>8
[3,5,8,7,2,4,6,1]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[1,7,8,2,5,4,3,6]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[8,7,2,5,4,3,6,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>22
[2,5,6,4,7,1,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>11
[4,7,1,6,3,5,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[4,5,3,8,7,2,6,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[1,4,5,3,7,8,2,6]=>[[1,2,3,5,6],[4,8],[7]]=>9
[1,4,8,2,7,6,3,5]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[4,7,3,5,1,8,6,2]=>[[1,2,6],[3,4,7],[5,8]]=>10
[8,7,3,6,1,5,4,2]=>[[1,4],[2,6],[3],[5],[7],[8]]=>24
[2,5,8,7,4,6,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[5,4,2,1,7,8,3,6]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[4,7,8,3,5,2,1,6]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[4,7,6,2,1,8,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[1,4,6,7,3,5,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>6
[8,3,6,2,1,7,5,4]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[8,3,7,6,4,2,1,5]=>[[1,3,8],[2],[4],[5],[6],[7]]=>22
[2,3,1,8,4,7,6,5]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[2,7,4,8,6,5,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[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]]=>17
[6,3,7,2,8,5,4,1]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[1,6,3,8,2,7,5,4]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[1,7,5,3,8,2,6,4]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[6,2,7,4,1,8,5,3]=>[[1,3,6],[2,4,7],[5,8]]=>16
[8,6,3,2,7,5,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[2,7,5,1,3,8,6,4]=>[[1,2,6],[3,5,7],[4,8]]=>14
[1,7,6,4,3,8,2,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[3,7,2,4,8,6,5,1]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[3,4,2,8,7,6,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[5,1,4,3,2,7,8,6]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[3,7,8,5,2,4,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[3,7,6,2,4,1,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[1,6,8,2,5,7,4,3]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[6,7,2,5,8,4,3,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[5,2,7,8,4,3,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[5,3,1,7,8,4,2,6]=>[[1,4,5],[2,6,8],[3,7]]=>13
[2,7,6,4,1,3,8,5]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[4,1,7,6,3,2,8,5]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[8,4,2,7,6,3,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[6,3,1,7,5,2,8,4]=>[[1,4,7],[2,5,8],[3,6]]=>14
[6,2,7,5,3,1,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[1,5,8,2,7,4,6,3]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[5,7,2,8,4,6,3,1]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[5,7,3,1,8,4,6,2]=>[[1,2,5],[3,6,7],[4,8]]=>11
[8,4,7,3,1,6,5,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>22
[2,6,8,5,7,4,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[6,5,2,1,7,4,8,3]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[5,7,4,6,2,1,8,3]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[5,6,4,8,3,7,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[6,7,1,8,3,4,2,5]=>[[1,2,4,8],[3,5,6],[7]]=>11
[7,8,3,5,1,4,2,6]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[5,6,2,7,1,8,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>13
[6,7,2,4,3,8,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[2,4,3,8,6,7,1,5]=>[[1,2,4,6],[3,5],[7,8]]=>14
[1,8,2,7,4,5,3,6]=>[[1,2,4,6,8],[3],[5],[7]]=>15
[2,5,4,8,3,6,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[2,3,1,8,5,6,4,7]=>[[1,2,4,6,8],[3,5],[7]]=>13
[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]]=>13
[5,7,2,3,1,6,4,8]=>[[1,2,6,8],[3,4],[5,7]]=>10
[5,7,2,4,3,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[4,6,2,7,1,5,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>15
[4,7,1,6,2,5,3,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[4,7,1,5,3,6,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[4,6,3,5,1,7,2,8]=>[[1,2,6,8],[3,4],[5,7]]=>10
[6,7,3,5,1,4,2,8]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[5,6,3,7,1,4,2,8]=>[[1,2,4,8],[3,6],[5,7]]=>15
[5,7,1,6,3,4,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[1,8,5,6,3,4,2,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[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]]=>12
[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]]=>18
[4,6,5,8,2,3,1,7]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[3,4,2,6,5,8,1,7]=>[[1,2,4,6],[3,5,8],[7]]=>14
[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]]=>13
[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]]=>15
[2,5,3,8,4,7,1,6]=>[[1,2,4,6],[3,5],[7,8]]=>14
[2,6,3,8,1,7,4,5]=>[[1,2,4,8],[3,6],[5,7]]=>15
[2,7,1,8,3,6,4,5]=>[[1,2,4,8],[3,5,6],[7]]=>11
[4,5,1,8,7,6,2,3]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[4,5,7,8,2,6,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[5,2,6,8,3,7,4,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[3,1,6,8,7,4,5,2]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[6,1,4,8,7,2,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[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]]=>13
[4,6,7,8,2,5,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[7,4,5,2,8,6,3,1]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[6,8,2,5,3,7,4,1]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[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]]=>11
[2,7,5,3,8,6,4,1]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[5,6,2,8,3,7,4,1]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[1,5,8,2,7,3,6,4]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[6,7,4,8,1,5,3,2]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[1,7,4,8,6,2,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[6,8,5,3,7,2,4,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>19
[6,8,5,2,3,7,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[7,5,3,8,2,6,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[7,5,2,3,8,6,4,1]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[6,7,3,4,8,5,2,1]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[3,6,4,7,8,5,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[7,4,2,5,8,6,3,1]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[7,4,5,8,1,6,3,2]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[6,3,4,7,8,5,2,1]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[6,1,2,7,4,5,8,3]=>[[1,3,4,6,7],[2,5],[8]]=>13
[2,5,8,3,4,1,6,7]=>[[1,2,3,7,8],[4,5],[6]]=>6
[5,6,2,7,4,3,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[4,6,7,3,2,5,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[2,6,7,3,8,5,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[2,6,1,8,4,5,3,7]=>[[1,2,4,8],[3,5,6],[7]]=>11
[2,5,7,8,4,3,6,1]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[3,6,8,4,5,7,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>9
[1,6,8,4,7,2,3,5]=>[[1,2,3,8],[4,5],[6,7]]=>7
[1,4,5,7,8,2,6,3]=>[[1,2,3,4,5],[6,7],[8]]=>4
[3,4,5,7,8,6,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>5
[3,4,5,7,6,8,1,2]=>[[1,2,3,4,6],[5,8],[7]]=>8
[3,6,7,4,8,5,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>10
[3,4,5,6,8,7,1,2]=>[[1,2,3,4,5],[6,8],[7]]=>5
[1,4,5,8,7,2,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>7
[1,2,5,8,3,6,4,7]=>[[1,2,3,4,8],[5,6],[7]]=>5
[1,4,5,8,6,2,3,7]=>[[1,2,3,4,8],[5,7],[6]]=>7
[7,8,1,4,6,2,3,5]=>[[1,2,5,8],[3,4],[6,7]]=>11
[1,6,7,4,8,2,5,3]=>[[1,2,3,5],[4,7],[6,8]]=>12
[1,4,5,6,8,2,7,3]=>[[1,2,3,4,5],[6,7],[8]]=>4
[1,4,5,8,6,2,7,3]=>[[1,2,3,4,7],[5,8],[6]]=>6
[1,2,5,8,3,4,7,6]=>[[1,2,3,4,7],[5,6],[8]]=>6
[1,6,7,2,3,5,8,4]=>[[1,2,3,6,7],[4,5],[8]]=>7
[7,8,1,2,3,5,4,6]=>[[1,2,5,6,8],[3,4],[7]]=>9
[1,6,7,2,3,5,4,8]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,4,5,7,6,2,3,8]=>[[1,2,3,4,8],[5,7],[6]]=>7
[1,2,5,7,3,6,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>5
[1,2,5,7,3,6,8,4]=>[[1,2,3,4,7],[5,6],[8]]=>6
[1,6,8,2,3,5,7,4]=>[[1,2,3,6,7],[4,5],[8]]=>7
[1,6,8,4,5,2,3,7]=>[[1,2,3,8],[4,5],[6,7]]=>7
[1,6,8,4,5,2,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>8
[1,6,8,2,3,4,7,5]=>[[1,2,3,6,7],[4,5],[8]]=>7
[1,6,8,2,3,7,4,5]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,4,5,7,6,2,8,3]=>[[1,2,3,4,7],[5,8],[6]]=>6
[7,8,1,4,5,2,6,3]=>[[1,2,5,7],[3,4],[6,8]]=>12
[7,8,1,2,3,4,6,5]=>[[1,2,5,6,7],[3,4],[8]]=>8
[7,8,1,2,3,6,4,5]=>[[1,2,5,6,8],[3,4],[7]]=>9
[1,6,7,2,3,8,5,4]=>[[1,2,3,6],[4,5,7],[8]]=>8
[1,2,5,6,3,8,7,4]=>[[1,2,3,4,6],[5,7],[8]]=>7
[4,2,1,6,5,3,8,7]=>[[1,4,7],[2,5,8],[3,6]]=>14
[6,8,2,1,4,3,7,5]=>[[1,2,7],[3,5,8],[4,6]]=>13
[8,6,2,4,3,1,5,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[4,6,5,2,8,3,7,1]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[2,6,4,5,8,3,7,1]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[8,4,2,6,3,5,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[4,2,6,3,5,8,7,1]=>[[1,3,5,6],[2,4,7],[8]]=>15
[6,2,4,3,8,5,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[8,2,4,3,6,5,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[6,2,1,8,4,3,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>14
[6,4,8,5,2,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[4,6,8,7,5,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[2,6,8,7,4,5,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[4,2,8,6,5,7,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[8,2,6,4,5,1,3,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[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]]=>16
[2,7,4,8,3,5,6,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[7,2,8,4,3,5,1,6]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[8,4,2,1,5,3,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[8,5,1,4,2,3,6,7]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[8,4,1,5,3,2,6,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[6,7,3,8,4,2,5,1]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[6,7,3,8,4,2,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[7,1,8,4,3,5,2,6]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[1,7,8,4,3,5,2,6]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[7,1,4,8,3,5,2,6]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[7,4,8,1,5,6,2,3]=>[[1,3,6],[2,5,8],[4,7]]=>21
[7,1,8,4,3,5,6,2]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[6,7,3,1,8,4,5,2]=>[[1,2,5],[3,6,7],[4,8]]=>11
[6,7,3,8,4,5,2,1]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[6,7,1,4,8,3,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[6,7,4,1,3,8,2,5]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[1,6,7,8,4,3,2,5]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[7,2,1,8,4,5,3,6]=>[[1,4,6,8],[2,5],[3,7]]=>15
[6,2,7,1,8,4,3,5]=>[[1,3,5],[2,6,8],[4,7]]=>18
[6,2,7,8,4,3,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[6,2,7,8,4,3,5,1]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[2,6,7,4,8,3,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[2,6,7,4,8,3,1,5]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[7,8,1,3,6,2,4,5]=>[[1,2,5,8],[3,4],[6,7]]=>11
[1,2,7,8,6,3,4,5]=>[[1,2,3,4,8],[5,7],[6]]=>7
[2,6,7,1,8,5,3,4]=>[[1,2,3,5],[4,6,8],[7]]=>10
[2,6,7,8,5,3,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[2,6,7,8,5,3,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[6,2,7,8,4,5,3,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[7,2,1,8,4,5,6,3]=>[[1,4,6,7],[2,5],[3,8]]=>14
[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]]=>7
[6,3,7,8,1,5,2,4]=>[[1,3,4],[2,6,8],[5,7]]=>17
[6,7,1,2,8,5,3,4]=>[[1,2,5,8],[3,4,6],[7]]=>10
[1,6,7,8,4,2,5,3]=>[[1,2,3,4],[5,7],[6,8]]=>8
[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]]=>12
[1,7,5,3,6,4,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[5,1,2,6,7,4,8,3]=>[[1,3,4,5,7],[2,6],[8]]=>12
[4,1,5,7,3,2,6,8]=>[[1,3,4,8],[2,5,7],[6]]=>14
[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]]=>11
[4,1,7,8,6,2,3,5]=>[[1,3,4,8],[2,5,7],[6]]=>14
[1,6,5,7,8,3,4,2]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[1,6,5,8,7,3,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[4,1,8,7,6,2,3,5]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[4,8,1,7,3,5,2,6]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[4,8,1,6,3,2,5,7]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[4,7,1,6,3,2,5,8]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[6,1,2,3,7,5,4,8]=>[[1,3,4,5,8],[2,6],[7]]=>11
[6,8,1,5,3,7,2,4]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[8,7,5,2,4,1,6,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[1,5,7,3,4,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>8
[1,5,8,3,4,7,6,2]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[7,8,5,2,4,1,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[7,1,2,3,5,6,4,8]=>[[1,3,4,5,6,8],[2],[7]]=>10
[8,1,2,3,5,6,4,7]=>[[1,3,4,5,6,8],[2],[7]]=>10
[8,1,2,3,5,4,7,6]=>[[1,3,4,5,7],[2,8],[6]]=>12
[7,1,8,4,6,3,2,5]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[6,8,2,4,3,1,5,7]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[6,7,2,4,3,1,5,8]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[3,8,1,2,4,5,7,6]=>[[1,2,5,6,7],[3,4],[8]]=>8
[3,7,1,8,6,4,2,5]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[1,6,4,3,7,5,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[3,1,2,6,7,5,8,4]=>[[1,3,4,5,7],[2,6],[8]]=>12
[3,8,1,7,6,4,2,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[7,6,2,4,3,1,5,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[8,7,2,4,3,5,1,6]=>[[1,4,6,8],[2],[3],[5],[7]]=>19
[8,1,7,4,6,3,2,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[8,1,7,6,5,3,2,4]=>[[1,3,8],[2],[4],[5],[6],[7]]=>22
[1,5,7,3,4,6,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>7
[8,7,2,5,3,6,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[7,1,2,3,5,4,8,6]=>[[1,3,4,5,7],[2,8],[6]]=>12
[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]]=>10
[5,1,2,3,7,6,4,8]=>[[1,3,4,5,8],[2,6],[7]]=>11
[5,1,2,3,8,6,4,7]=>[[1,3,4,5,8],[2,6],[7]]=>11
[1,5,6,3,4,7,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>7
[8,6,5,2,4,7,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[7,6,2,5,3,1,8,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[7,4,5,2,3,8,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[8,2,3,7,4,5,1,6]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[8,4,7,3,2,5,1,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[5,4,6,3,1,2,8,7]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[4,6,2,3,1,5,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>8
[7,2,3,4,5,8,6,1]=>[[1,3,4,5,6],[2,7],[8]]=>10
[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]]=>14
[4,7,3,2,8,6,1,5]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[3,7,4,5,1,8,6,2]=>[[1,2,4,6],[3,7],[5,8]]=>14
[3,8,2,6,7,4,5,1]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[4,8,1,5,6,7,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[5,8,2,4,6,7,1,3]=>[[1,2,5,6],[3,4],[7,8]]=>10
[6,8,1,3,4,2,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>12
[5,8,2,4,3,1,7,6]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[2,1,7,6,8,5,3,4]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[3,7,6,1,8,5,2,4]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[4,7,2,3,8,5,1,6]=>[[1,2,5,8],[3,4,6],[7]]=>10
[7,1,3,6,4,8,5,2]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[7,6,1,4,8,5,2,3]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[6,2,3,7,8,5,4,1]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[6,2,3,8,4,5,1,7]=>[[1,3,4,6,8],[2,5],[7]]=>14
[7,2,3,6,8,4,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[8,2,3,5,7,1,4,6]=>[[1,3,4,5],[2,7,8],[6]]=>13
[6,4,8,3,5,1,7,2]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[5,4,8,3,6,7,1,2]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[3,5,1,8,4,6,7,2]=>[[1,2,4,7],[3,5,6],[8]]=>12
[3,6,1,8,4,5,2,7]=>[[1,2,4,8],[3,5,6],[7]]=>11
[4,6,8,3,5,2,7,1]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[5,7,8,3,2,4,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[4,8,2,3,5,6,1,7]=>[[1,2,5,6,8],[3,4],[7]]=>9
[6,8,2,3,1,4,5,7]=>[[1,2,6,7,8],[3,4],[5]]=>7
[5,2,7,4,8,3,1,6]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[3,7,8,2,1,4,6,5]=>[[1,2,3],[4,6,7],[5,8]]=>10
[3,7,5,2,8,4,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[6,3,2,4,1,8,7,5]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[7,2,3,4,8,5,1,6]=>[[1,3,4,5,8],[2,6],[7]]=>11
[5,7,3,1,4,2,6,8]=>[[1,2,7,8],[3,5],[4,6]]=>12
[3,7,4,1,8,2,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>10
[6,3,7,4,8,1,2,5]=>[[1,3,5],[2,4,8],[6,7]]=>18
[8,3,7,4,2,6,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[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]]=>8
[8,4,1,6,3,7,5,2]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[8,7,4,2,1,6,3,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[8,3,5,2,7,4,1,6]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[1,5,3,8,7,6,4,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[7,2,4,8,1,3,6,5]=>[[1,3,4],[2,6,7],[5,8]]=>16
[1,2,8,7,5,6,3,4]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[3,1,8,6,7,5,2,4]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[1,4,8,6,5,7,2,3]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[1,6,5,4,8,2,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[5,1,6,8,3,4,2,7]=>[[1,3,4,8],[2,5,6],[7]]=>12
[6,2,5,1,7,4,3,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[5,2,1,8,7,4,3,6]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[5,2,6,3,8,1,4,7]=>[[1,3,5,8],[2,4,7],[6]]=>18
[5,2,8,3,4,6,1,7]=>[[1,3,5,6,8],[2,4],[7]]=>15
[6,2,8,4,3,1,7,5]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[7,2,8,1,3,6,5,4]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[7,3,8,1,4,6,2,5]=>[[1,3,6],[2,5,8],[4,7]]=>21
[1,7,8,5,4,6,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[1,5,8,4,6,3,7,2]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[5,3,8,4,1,2,7,6]=>[[1,3,7],[2,4,8],[5,6]]=>15
[5,8,4,3,6,2,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[1,8,3,6,5,2,7,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[1,8,2,4,7,6,5,3]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[3,8,1,4,6,7,5,2]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[3,8,2,5,1,7,6,4]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[4,3,8,2,5,1,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[8,2,4,3,5,1,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,2,1,4,6,5,7,3]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[8,1,3,4,5,7,6,2]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[6,1,5,2,4,7,8,3]=>[[1,3,5,6,7],[2],[4],[8]]=>16
[4,1,8,5,2,7,6,3]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[4,1,8,2,3,7,5,6]=>[[1,3,5,6,8],[2,4],[7]]=>15
[5,3,8,7,2,1,4,6]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[6,7,3,5,1,4,8,2]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[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]]=>12
[5,7,4,1,6,8,3,2]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[5,8,4,6,1,7,3,2]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[5,6,1,4,7,8,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[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]]=>20
[5,6,3,8,4,7,2,1]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[5,6,3,8,2,7,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[4,3,7,2,8,6,5,1]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[6,7,3,8,5,2,4,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[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]]=>7
[5,3,7,8,4,6,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[2,5,8,4,3,7,6,1]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[3,7,4,8,6,2,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[3,6,4,8,7,2,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[3,5,4,8,2,7,6,1]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[4,5,7,3,8,6,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[3,5,6,8,4,7,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[6,3,1,8,7,5,4,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[5,4,8,1,7,6,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[8,5,4,1,7,6,3,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>17
[1,8,2,5,6,3,4,7]=>[[1,2,4,5,8],[3,7],[6]]=>12
[7,2,8,4,5,1,3,6]=>[[1,3,5,8],[2,4],[6,7]]=>17
[1,3,7,5,6,2,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>11
[1,6,7,4,3,5,2,8]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[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]]=>12
[2,6,8,4,3,5,7,1]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[7,5,8,3,2,1,6,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[7,2,8,4,1,5,6,3]=>[[1,3,6,7],[2,4],[5,8]]=>15
[7,5,8,1,2,6,3,4]=>[[1,3,6,8],[2,5],[4,7]]=>20
[1,6,7,4,3,2,8,5]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[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]]=>14
[6,2,5,7,1,4,8,3]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[6,5,4,3,8,1,7,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>19
[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]]=>10
[2,7,8,5,4,6,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[2,6,5,8,3,4,1,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[2,6,5,7,3,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[6,2,5,7,4,1,3,8]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[6,2,5,8,4,1,3,7]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[2,7,8,4,6,1,3,5]=>[[1,2,3],[4,5,8],[6,7]]=>8
[6,1,2,8,3,7,4,5]=>[[1,3,4,6,8],[2,5],[7]]=>14
[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]]=>13
[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]]=>15
[1,3,2,7,8,5,6,4]=>[[1,2,4,5],[3,6,7],[8]]=>10
[1,6,2,4,8,7,3,5]=>[[1,2,4,5],[3,6],[7,8]]=>11
[6,5,2,1,8,7,3,4]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[2,6,5,3,7,8,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[6,2,5,3,8,4,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[6,5,2,3,8,7,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[5,4,1,2,3,8,6,7]=>[[1,4,5,6,8],[2,7],[3]]=>10
[5,1,4,2,3,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>14
[1,5,4,2,6,3,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>11
[5,1,6,3,8,2,7,4]=>[[1,3,5],[2,4,7],[6,8]]=>19
[1,8,7,6,2,5,4,3]=>[[1,2,6],[3],[4],[5],[7],[8]]=>18
[5,2,7,4,1,6,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>16
[4,7,3,1,5,6,2,8]=>[[1,2,6,8],[3,5],[4,7]]=>14
[5,8,3,4,1,6,7,2]=>[[1,2,6,7],[3,4],[5,8]]=>9
[1,7,8,4,5,6,2,3]=>[[1,2,3,6],[4,5],[7,8]]=>9
[1,5,8,4,2,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>11
[1,6,3,8,5,2,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>13
[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]]=>11
[8,7,3,2,1,6,5,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[8,7,6,3,1,5,2,4]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[8,5,1,7,2,3,4,6]=>[[1,4,6,7,8],[2,5],[3]]=>12
[2,4,8,5,3,7,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[2,4,1,8,5,3,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>12
[2,4,8,6,3,1,7,5]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[3,4,6,8,2,1,7,5]=>[[1,2,3,4],[5,7],[6,8]]=>8
[3,4,1,5,8,2,7,6]=>[[1,2,4,5],[3,6,7],[8]]=>10
[8,1,4,5,3,2,7,6]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[3,4,1,5,2,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>13
[3,4,6,2,1,8,7,5]=>[[1,2,3,6],[4,7],[5,8]]=>9
[3,5,6,2,1,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>7
[3,4,6,2,7,8,1,5]=>[[1,2,3,5,6],[4,8],[7]]=>9
[8,1,4,6,3,7,2,5]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[8,1,4,6,3,7,5,2]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[3,5,6,2,1,7,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>8
[8,1,5,6,7,3,4,2]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[8,1,5,6,7,3,2,4]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[3,4,1,6,8,7,2,5]=>[[1,2,4,5],[3,6,8],[7]]=>11
[3,5,6,1,8,7,2,4]=>[[1,2,3,5],[4,6,8],[7]]=>10
[2,1,3,8,6,7,4,5]=>[[1,3,4,6],[2,5,8],[7]]=>15
[8,1,3,2,6,7,5,4]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[2,3,8,6,7,1,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[2,4,1,8,6,7,5,3]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[2,5,8,6,1,7,4,3]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[3,5,6,1,8,7,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[3,4,1,6,8,7,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[3,4,6,8,7,1,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[8,1,4,6,2,7,5,3]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[3,5,1,6,7,8,4,2]=>[[1,2,4,5,6],[3,7],[8]]=>9
[4,5,6,1,7,8,3,2]=>[[1,2,3,5,6],[4,7],[8]]=>8
[4,5,6,1,7,3,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>10
[3,5,1,6,7,4,8,2]=>[[1,2,4,5,7],[3,6],[8]]=>11
[8,1,5,6,7,4,2,3]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[8,1,5,6,7,4,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[3,5,1,6,7,4,2,8]=>[[1,2,4,5,8],[3,6],[7]]=>10
[4,5,6,1,7,3,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>9
[6,5,8,7,4,3,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[6,4,2,7,8,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[6,1,4,8,7,5,2,3]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[1,6,4,8,7,5,2,3]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[1,8,6,2,4,7,3,5]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[8,1,6,2,4,7,3,5]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[7,6,2,1,4,8,3,5]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[6,4,1,7,8,5,2,3]=>[[1,4,5],[2,6,8],[3,7]]=>13
[7,6,1,2,4,8,3,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[7,6,1,3,4,8,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[8,1,6,3,4,7,2,5]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[1,8,6,3,4,7,2,5]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[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]]=>17
[2,7,1,5,4,8,3,6]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[2,8,6,3,4,7,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[2,8,6,1,4,7,3,5]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[7,2,1,5,4,8,3,6]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[1,2,7,5,4,8,3,6]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[3,2,7,5,4,8,1,6]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[2,5,8,4,7,3,1,6]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[2,3,7,5,4,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[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]]=>12
[3,1,7,5,4,8,2,6]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[1,3,7,5,4,8,2,6]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[1,5,8,4,7,3,2,6]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[5,1,8,4,7,3,2,6]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[5,8,2,4,7,3,1,6]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[6,8,4,3,7,5,1,2]=>[[1,2],[3,5],[4,6],[7,8]]=>16
[8,7,5,6,2,1,4,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>20
[8,5,2,4,7,3,1,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[8,1,5,4,7,3,2,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[1,8,5,4,7,3,2,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[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]]=>12
[8,6,4,2,7,5,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[8,6,4,1,7,2,5,3]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[5,3,7,4,6,8,2,1]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[4,1,3,2,7,8,5,6]=>[[1,3,5,6],[2,7,8],[4]]=>15
[1,4,3,2,7,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>9
[2,4,3,1,7,8,5,6]=>[[1,2,5,6],[3,7,8],[4]]=>9
[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]]=>16
[5,7,3,4,6,8,2,1]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[8,2,5,4,7,3,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[7,2,3,5,4,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[3,2,1,4,7,8,5,6]=>[[1,4,5,6],[2,7,8],[3]]=>10
[8,1,7,6,4,3,5,2]=>[[1,3,7],[2],[4],[5],[6],[8]]=>23
[8,6,4,5,2,7,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[7,1,8,6,4,3,5,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[7,4,2,5,1,6,3,8]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[7,3,6,5,2,1,4,8]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[8,3,6,5,2,1,7,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[7,3,6,5,2,1,8,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[7,5,8,6,4,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[5,4,2,8,1,3,7,6]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[5,8,2,6,4,1,3,7]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[6,4,2,5,1,8,3,7]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[6,3,5,2,1,4,7,8]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[2,5,8,6,3,1,4,7]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[2,3,5,8,1,4,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>5
[2,3,6,8,1,5,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>5
[6,3,8,5,2,7,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[6,3,7,5,2,1,4,8]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[2,5,7,6,3,1,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[2,8,7,6,3,1,5,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[2,5,8,7,6,3,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[2,4,8,1,6,5,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[2,8,7,3,6,1,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[7,3,5,2,1,4,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[8,4,2,5,1,3,7,6]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[2,3,6,8,1,4,7,5]=>[[1,2,3,4],[5,6,7],[8]]=>5
[2,7,8,6,3,1,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[7,3,8,5,2,1,4,6]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[2,3,6,1,8,4,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>9
[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]]=>18
[2,4,8,1,3,7,5,6]=>[[1,2,3,8],[4,5,6],[7]]=>6
[2,5,8,1,7,3,6,4]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[2,8,1,5,7,3,6,4]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[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]]=>7
[2,7,1,5,8,3,4,6]=>[[1,2,5,8],[3,4,7],[6]]=>12
[3,7,5,8,1,2,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>15
[7,3,6,1,2,8,4,5]=>[[1,3,6,8],[2,5,7],[4]]=>19
[7,4,8,1,6,5,2,3]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[7,4,5,8,6,1,2,3]=>[[1,3,4],[2,5,8],[6,7]]=>14
[6,8,4,5,1,7,2,3]=>[[1,2,6],[3,4,8],[5,7]]=>11
[5,1,8,7,6,2,3,4]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[4,6,1,8,7,5,2,3]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[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]]=>9
[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]]=>9
[6,5,1,2,7,3,8,4]=>[[1,4,5,7],[2,6,8],[3]]=>12
[6,5,1,8,2,7,3,4]=>[[1,4,6,8],[2,5],[3,7]]=>15
[6,5,1,8,7,2,3,4]=>[[1,4,7,8],[2,5],[3,6]]=>13
[6,5,1,7,2,8,3,4]=>[[1,4,6,8],[2,5,7],[3]]=>14
[6,5,1,7,2,3,8,4]=>[[1,4,6,7],[2,5,8],[3]]=>13
[5,6,8,7,4,1,2,3]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[6,8,5,7,4,1,2,3]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[7,3,8,1,5,2,4,6]=>[[1,3,7,8],[2,5],[4,6]]=>18
[4,1,7,5,3,6,2,8]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[1,8,4,2,3,6,7,5]=>[[1,2,5,6,7],[3,8],[4]]=>8
[2,5,8,3,4,6,7,1]=>[[1,2,3,6,7],[4,5],[8]]=>7
[4,1,7,2,3,6,8,5]=>[[1,3,5,6,7],[2,4],[8]]=>14
[4,6,2,1,5,7,8,3]=>[[1,2,6,7],[3,5],[4,8]]=>13
[4,5,2,3,1,7,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>8
[3,2,6,7,4,1,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13
[5,6,2,7,1,4,8,3]=>[[1,2,4,7],[3,6],[5,8]]=>16
[6,2,3,8,1,7,4,5]=>[[1,3,4,8],[2,6],[5,7]]=>16
[2,6,8,3,4,7,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>9
[4,6,2,7,5,1,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>12
[2,6,3,1,8,4,5,7]=>[[1,2,5,7,8],[3,6],[4]]=>10
[2,4,3,7,8,1,5,6]=>[[1,2,4,5],[3,7,8],[6]]=>12
[5,3,2,7,4,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[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]]=>11
[3,5,6,4,7,8,1,2]=>[[1,2,3,5,6],[4,8],[7]]=>9
[5,3,6,4,2,8,7,1]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[5,4,2,3,7,8,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[4,1,8,2,5,7,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>16
[3,1,8,4,7,2,5,6]=>[[1,3,5,8],[2,4,7],[6]]=>18
[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]]=>11
[3,2,7,6,4,1,8,5]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[2,5,4,1,7,6,8,3]=>[[1,2,5,7],[3,6],[4,8]]=>12
[6,2,1,4,7,8,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>10
[2,6,5,1,7,8,3,4]=>[[1,2,5,6],[3,7,8],[4]]=>9
[4,7,5,2,1,6,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[4,2,3,7,8,1,6,5]=>[[1,3,4,5],[2,7],[6,8]]=>14
[5,8,3,1,7,2,4,6]=>[[1,2,7,8],[3,5],[4,6]]=>12
[6,8,3,1,5,2,4,7]=>[[1,2,7,8],[3,5],[4,6]]=>12
[5,1,7,4,2,6,3,8]=>[[1,3,6,8],[2,4],[5,7]]=>16
[6,8,3,2,5,1,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[6,8,4,3,1,5,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[6,8,4,2,1,5,7,3]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[5,1,7,3,2,4,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[5,2,1,8,3,6,7,4]=>[[1,4,6,7],[2,5],[3,8]]=>14
[4,3,8,1,6,2,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>19
[4,2,1,8,5,7,3,6]=>[[1,4,6],[2,5,8],[3,7]]=>16
[6,3,2,1,7,4,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[6,4,2,1,7,5,3,8]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[7,5,2,1,8,6,3,4]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[5,3,2,7,6,1,4,8]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[5,3,2,8,6,1,4,7]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[6,3,2,8,7,1,4,5]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[4,2,8,1,7,3,5,6]=>[[1,3,7,8],[2,5],[4,6]]=>18
[4,3,8,7,2,1,5,6]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[2,1,5,8,4,7,3,6]=>[[1,3,4],[2,5,6],[7,8]]=>13
[4,3,1,6,2,7,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>14
[5,4,1,7,2,8,6,3]=>[[1,4,6],[2,5,7],[3,8]]=>15
[6,5,3,1,7,8,4,2]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[6,4,2,1,7,8,5,3]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[5,3,2,1,6,7,8,4]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[8,6,1,4,5,7,2,3]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[5,2,8,3,7,4,6,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[6,2,8,5,4,7,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[1,8,6,3,7,4,2,5]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[1,8,6,5,7,2,3,4]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[5,2,8,4,3,6,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[5,4,2,7,3,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[5,4,2,8,3,6,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[6,5,3,8,4,7,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[5,2,8,4,3,7,1,6]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[6,2,8,3,7,4,1,5]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[5,4,2,7,3,1,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[6,4,3,7,1,2,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[6,4,3,8,1,2,7,5]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[7,6,3,8,4,2,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[7,2,8,5,1,6,3,4]=>[[1,3,6],[2,4,8],[5,7]]=>17
[7,2,8,4,3,1,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[7,5,3,8,4,2,6,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[6,4,2,7,3,1,5,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[7,6,4,8,2,3,5,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[7,6,8,1,2,5,3,4]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[5,3,1,7,8,4,6,2]=>[[1,4,5],[2,6,7],[3,8]]=>12
[5,3,2,7,8,4,6,1]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[5,4,1,6,3,8,7,2]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[6,5,1,7,8,2,3,4]=>[[1,4,5,8],[2,6,7],[3]]=>11
[6,3,1,7,8,4,2,5]=>[[1,4,5],[2,6,8],[3,7]]=>13
[5,4,1,7,3,8,2,6]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[6,3,2,7,8,4,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[6,1,5,4,3,2,8,7]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[8,7,6,1,3,5,2,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[8,1,6,5,7,3,4,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[8,4,1,5,7,6,2,3]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[7,8,6,2,5,3,1,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[6,1,3,5,2,8,4,7]=>[[1,3,4,6],[2,7,8],[5]]=>14
[8,1,3,7,4,2,5,6]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[4,3,8,7,5,2,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[6,7,1,8,5,3,4,2]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[2,7,6,4,8,3,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[6,5,2,7,1,4,8,3]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[7,4,6,1,3,2,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[7,5,2,1,3,8,4,6]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[8,4,7,6,3,1,5,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[7,4,1,5,6,3,8,2]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[3,4,7,5,6,1,8,2]=>[[1,2,3,5,7],[4,8],[6]]=>10
[2,4,7,5,6,3,8,1]=>[[1,2,3,5,7],[4],[6],[8]]=>12
[5,4,1,7,6,2,8,3]=>[[1,4,7],[2,5,8],[3,6]]=>14
[3,5,6,7,1,4,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>6
[2,7,6,1,3,4,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>12
[5,7,2,1,6,3,8,4]=>[[1,2,7],[3,5,8],[4,6]]=>13
[4,7,2,5,6,3,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[8,6,2,5,7,1,4,3]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[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]]=>15
[2,8,6,5,7,1,4,3]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[5,8,4,3,2,6,7,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[1,8,5,6,2,4,7,3]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[8,1,5,6,2,4,7,3]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[6,4,8,1,3,2,7,5]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[1,4,5,2,8,6,7,3]=>[[1,2,3,5,7],[4,6],[8]]=>10
[2,3,1,7,8,6,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>11
[3,5,7,6,2,8,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[4,5,6,1,2,8,7,3]=>[[1,2,3,6],[4,5,7],[8]]=>8
[5,4,1,2,8,6,7,3]=>[[1,4,5,7],[2,6],[3,8]]=>13
[8,4,5,2,1,6,7,3]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[3,1,2,6,8,4,7,5]=>[[1,3,4,5],[2,6,7],[8]]=>11
[5,1,3,2,7,8,4,6]=>[[1,3,5,6],[2,7,8],[4]]=>15
[1,5,4,2,7,8,3,6]=>[[1,2,5,6],[3,7,8],[4]]=>9
[4,6,7,8,3,1,5,2]=>[[1,2,3,4],[5,7],[6,8]]=>8
[7,6,2,8,4,3,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[5,2,8,6,3,4,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[5,6,8,4,3,2,7,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[5,3,8,1,7,2,4,6]=>[[1,3,7,8],[2,5],[4,6]]=>18
[3,6,7,8,4,2,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[6,5,1,8,4,3,7,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[6,3,8,4,2,1,7,5]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[2,5,8,3,1,6,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>11
[3,5,8,1,2,6,7,4]=>[[1,2,3,7],[4,5,6],[8]]=>7
[3,2,8,1,5,6,7,4]=>[[1,3,6,7],[2,5],[4,8]]=>19
[1,5,8,3,2,6,7,4]=>[[1,2,3,7],[4,6],[5,8]]=>11
[1,3,8,6,2,4,7,5]=>[[1,2,3,7],[4,6,8],[5]]=>10
[3,2,7,8,4,6,1,5]=>[[1,3,4],[2,5,6],[7,8]]=>13
[5,1,8,3,4,6,7,2]=>[[1,3,5,6,7],[2,4],[8]]=>14
[4,8,7,2,1,6,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[2,8,1,6,3,4,7,5]=>[[1,2,6,7],[3,4,8],[5]]=>8
[8,3,4,2,1,6,5,7]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[6,4,7,2,5,8,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[8,4,5,2,6,3,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[2,4,5,8,3,6,1,7]=>[[1,2,3,4,8],[5,6],[7]]=>5
[3,5,8,1,2,6,4,7]=>[[1,2,3,8],[4,5,6],[7]]=>6
[8,6,1,3,5,2,4,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[8,5,1,2,6,4,3,7]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[5,8,6,1,3,4,2,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[5,8,4,6,1,3,2,7]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[7,3,4,5,2,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[5,7,4,3,6,1,8,2]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[2,6,4,3,7,8,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[7,4,1,8,3,2,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[6,2,1,7,8,4,5,3]=>[[1,4,5],[2,6,7],[3,8]]=>12
[7,6,3,1,5,4,8,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[2,4,6,5,1,7,8,3]=>[[1,2,3,6,7],[4,8],[5]]=>7
[1,4,7,5,6,8,2,3]=>[[1,2,3,5,6],[4,8],[7]]=>9
[1,4,7,6,5,8,2,3]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[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]]=>12
[3,7,4,8,1,2,6,5]=>[[1,2,4],[3,6,7],[5,8]]=>15
[6,3,5,7,8,1,4,2]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[3,6,5,7,1,8,4,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[6,4,7,8,2,1,3,5]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[6,7,3,8,4,1,2,5]=>[[1,2,4],[3,5,8],[6,7]]=>13
[2,7,8,3,4,6,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>9
[7,5,8,4,1,3,2,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[4,7,5,8,3,1,2,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[3,6,7,4,8,1,2,5]=>[[1,2,3,5],[4,7,8],[6]]=>11
[5,7,3,1,6,8,4,2]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[2,7,3,1,8,6,4,5]=>[[1,2,5,8],[3,6],[4,7]]=>11
[2,8,4,3,1,5,7,6]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[4,8,1,2,3,5,7,6]=>[[1,2,5,6,7],[3,4],[8]]=>8
[7,6,8,1,2,4,3,5]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[7,6,8,5,1,3,2,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[2,8,5,4,6,1,7,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[8,4,5,2,7,6,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[8,7,6,4,1,2,5,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[6,7,1,3,5,2,8,4]=>[[1,2,5,7],[3,4],[6,8]]=>12
[5,7,2,3,6,8,1,4]=>[[1,2,5,6],[3,4],[7,8]]=>10
[8,5,3,2,7,6,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[3,4,6,7,5,8,1,2]=>[[1,2,3,4,6],[5,8],[7]]=>8
[3,4,5,7,6,1,8,2]=>[[1,2,3,4,7],[5,8],[6]]=>6
[2,6,4,5,7,8,3,1]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[3,8,5,1,6,2,7,4]=>[[1,2,5,7],[3,6,8],[4]]=>11
[2,5,1,3,6,8,7,4]=>[[1,2,5,6],[3,4,7],[8]]=>9
[5,4,6,1,3,7,8,2]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[6,3,5,7,1,4,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[7,3,4,6,8,1,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[3,7,8,4,1,5,6,2]=>[[1,2,3,7],[4,6],[5,8]]=>11
[8,7,5,4,2,1,6,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>18
[6,7,2,5,1,8,4,3]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[3,6,1,2,5,8,4,7]=>[[1,2,5,6],[3,4,8],[7]]=>10
[1,4,5,8,2,3,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>5
[1,2,6,4,5,8,3,7]=>[[1,2,3,5,6],[4,8],[7]]=>9
[1,5,2,4,6,8,3,7]=>[[1,2,4,5,6],[3,8],[7]]=>10
[3,6,1,5,8,2,4,7]=>[[1,2,5,8],[3,4,7],[6]]=>12
[2,6,5,1,4,8,3,7]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[5,2,6,1,4,8,3,7]=>[[1,3,6],[2,5,8],[4,7]]=>21
[2,5,1,8,4,7,3,6]=>[[1,2,4],[3,5,6],[7,8]]=>12
[2,7,1,4,3,6,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>8
[1,3,7,5,8,2,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>11
[8,2,1,5,7,3,4,6]=>[[1,4,5,8],[2,6,7],[3]]=>11
[2,5,4,8,1,3,7,6]=>[[1,2,4],[3,6,7],[5,8]]=>15
[2,4,1,3,8,6,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>11
[8,4,3,7,1,2,6,5]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[1,7,3,5,8,2,6,4]=>[[1,2,4,5],[3,7],[6,8]]=>13
[1,8,4,2,6,7,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>9
[3,1,6,8,7,2,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>14
[7,2,1,6,8,3,4,5]=>[[1,4,5,8],[2,6,7],[3]]=>11
[3,1,7,6,8,2,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>18
[4,1,7,2,6,8,3,5]=>[[1,3,5,6],[2,4,8],[7]]=>16
[5,1,7,2,3,6,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>14
[7,2,1,6,3,5,8,4]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[2,6,1,7,3,5,8,4]=>[[1,2,4,7],[3,5,6],[8]]=>12
[7,1,2,5,3,6,8,4]=>[[1,3,4,6,7],[2,8],[5]]=>13
[5,4,1,2,7,8,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>10
[8,1,3,2,4,6,7,5]=>[[1,3,5,6,7],[2,8],[4]]=>14
[7,3,1,2,4,6,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>9
[1,8,3,4,7,2,5,6]=>[[1,2,4,5,8],[3,7],[6]]=>12
[3,5,8,1,2,7,4,6]=>[[1,2,3,8],[4,5,6],[7]]=>6
[3,6,8,1,2,4,7,5]=>[[1,2,3,7],[4,5,6],[8]]=>7
[4,1,3,8,7,2,6,5]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[1,3,7,4,8,2,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>12
[1,4,6,8,2,3,7,5]=>[[1,2,3,4],[5,6,7],[8]]=>5
[3,5,8,1,7,2,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>8
[2,6,8,1,7,3,4,5]=>[[1,2,3,8],[4,5,7],[6]]=>8
[6,1,5,8,2,3,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>17
[1,8,3,2,7,5,6,4]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[3,1,7,2,8,5,6,4]=>[[1,3,5,7],[2,4,6],[8]]=>17
[2,6,7,3,8,1,5,4]=>[[1,2,3,5],[4,7],[6,8]]=>12
[8,4,1,7,3,6,2,5]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[3,7,2,8,6,1,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[6,2,3,8,7,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[5,1,7,8,4,2,6,3]=>[[1,3,4],[2,5,7],[6,8]]=>15
[5,1,8,7,4,2,6,3]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[4,7,2,8,3,6,5,1]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[4,1,7,8,5,3,6,2]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[5,1,7,4,8,3,6,2]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[4,1,8,7,5,3,6,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[4,8,2,7,3,6,5,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[4,7,2,6,3,5,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[6,8,2,4,3,7,5,1]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[6,7,2,4,3,8,5,1]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[6,8,2,7,3,5,4,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[3,8,7,2,4,1,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[3,7,8,2,4,1,5,6]=>[[1,2,3,8],[4,5,7],[6]]=>8
[3,6,8,2,4,5,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>7
[3,6,7,2,4,5,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>7
[6,5,1,4,2,3,8,7]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[8,6,1,7,2,5,4,3]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[8,7,6,1,2,3,5,4]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[5,4,3,1,6,2,8,7]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[8,3,4,7,1,6,2,5]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[6,3,4,1,8,5,2,7]=>[[1,3,5,8],[2,6],[4,7]]=>17
[3,8,5,2,7,1,6,4]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[2,8,6,7,5,3,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[2,1,8,7,3,6,4,5]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[3,6,5,8,2,4,7,1]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[5,2,1,8,7,3,4,6]=>[[1,4,7,8],[2,5],[3,6]]=>13
[6,5,2,7,4,3,8,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[4,6,5,2,7,3,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[6,2,7,1,8,3,5,4]=>[[1,3,5],[2,6,7],[4,8]]=>17
[2,7,5,4,8,3,6,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[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]]=>19
[7,1,6,2,3,8,5,4]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[4,8,1,3,2,7,5,6]=>[[1,2,6,8],[3,4],[5,7]]=>10
[3,8,1,4,7,5,2,6]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[6,3,8,7,4,5,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[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]]=>24
[4,6,7,8,2,3,5,1]=>[[1,2,3,4],[5,6,7],[8]]=>5
[8,7,4,6,2,1,5,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>20
[7,6,1,3,5,2,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[5,8,3,2,4,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[8,2,6,5,3,1,7,4]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[4,8,7,6,5,2,3,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>18
[2,1,8,6,4,3,7,5]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[2,1,7,6,5,3,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[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]]=>19
[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]]=>15
[3,4,1,7,8,5,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>10
[7,5,4,3,1,8,6,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[8,5,6,2,7,3,1,4]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[8,4,2,5,6,1,7,3]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[6,3,5,4,1,7,8,2]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[4,1,3,6,7,5,8,2]=>[[1,3,4,5,7],[2,6],[8]]=>12
[1,7,2,4,5,8,3,6]=>[[1,2,4,5,6],[3,8],[7]]=>10
[1,7,4,5,8,3,2,6]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[2,6,4,7,8,3,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[1,2,6,4,7,8,3,5]=>[[1,2,3,5,6],[4,8],[7]]=>9
[6,1,4,7,8,3,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[3,6,4,7,8,1,5,2]=>[[1,2,4,5],[3,7],[6,8]]=>13
[4,3,6,7,1,8,2,5]=>[[1,3,4,6],[2,7,8],[5]]=>14
[3,6,4,7,8,1,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>12
[4,7,2,1,5,3,8,6]=>[[1,2,7],[3,5,8],[4,6]]=>13
[1,3,6,4,7,2,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>10
[3,6,4,7,2,8,5,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[5,1,3,4,2,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>13
[5,4,2,1,3,7,8,6]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[1,6,7,3,8,2,5,4]=>[[1,2,3,5],[4,7],[6,8]]=>12
[6,1,4,7,8,5,2,3]=>[[1,3,4,5],[2,6],[7,8]]=>12
[6,3,2,1,7,8,5,4]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[8,6,5,1,3,2,4,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[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]]=>14
[8,6,1,2,5,4,3,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[4,8,6,1,5,3,2,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[5,8,6,4,1,3,2,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[8,3,6,4,5,2,1,7]=>[[1,3,5,8],[2],[4],[6],[7]]=>21
[6,8,5,7,4,2,3,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>15
[2,3,8,7,1,6,4,5]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[4,3,7,8,1,6,2,5]=>[[1,3,4],[2,6,8],[5,7]]=>17
[3,5,8,7,4,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[7,3,8,4,1,2,5,6]=>[[1,3,7,8],[2,4],[5,6]]=>14
[4,8,1,2,7,3,5,6]=>[[1,2,5,7,8],[3,4],[6]]=>10
[6,8,1,2,7,4,5,3]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[5,6,8,4,1,3,7,2]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[8,5,4,7,1,6,3,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[2,5,8,7,3,6,4,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[2,4,8,7,5,6,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[3,7,4,8,5,6,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[6,4,8,7,5,1,2,3]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[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]]=>12
[6,3,8,7,2,1,4,5]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[2,3,7,8,5,6,1,4]=>[[1,2,3,4],[5,6],[7,8]]=>6
[3,7,6,8,5,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[2,6,7,8,5,1,3,4]=>[[1,2,3,4],[5,7,8],[6]]=>7
[2,4,7,8,1,6,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>6
[5,4,7,8,2,6,3,1]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[2,8,3,4,1,5,7,6]=>[[1,2,4,6,7],[3,8],[5]]=>12
[6,8,3,4,1,2,7,5]=>[[1,2,7],[3,4,8],[5,6]]=>9
[6,8,7,1,5,2,3,4]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[5,8,3,2,7,6,1,4]=>[[1,2],[3,5],[4,6],[7,8]]=>16
[2,5,3,1,8,6,7,4]=>[[1,2,5,7],[3,6],[4,8]]=>12
[4,5,3,2,8,6,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[3,5,8,6,1,4,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[2,8,5,6,1,4,7,3]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[4,8,6,1,5,2,7,3]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[5,8,2,3,7,6,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[4,6,8,5,3,2,7,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[2,6,4,8,5,1,7,3]=>[[1,2,4,7],[3,5],[6,8]]=>13
[7,6,4,8,5,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[3,4,8,6,5,2,7,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>12
[3,4,8,7,5,6,2,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>13
[7,5,3,2,8,6,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[2,5,1,3,8,6,7,4]=>[[1,2,5,7],[3,4,6],[8]]=>11
[4,5,1,2,8,6,7,3]=>[[1,2,5,7],[3,4,6],[8]]=>11
[5,4,8,1,3,6,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[8,3,5,4,1,6,7,2]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[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]]=>18
[7,4,5,1,2,3,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>18
[7,4,3,1,2,8,5,6]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[8,4,7,6,2,1,5,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[8,4,6,5,7,1,3,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[7,2,1,4,5,8,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>10
[7,4,1,6,3,5,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[3,5,7,6,4,1,8,2]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[4,7,5,2,1,3,8,6]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[5,7,2,3,6,4,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[8,6,2,3,7,1,4,5]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[5,7,2,4,8,3,6,1]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[1,7,2,4,8,6,3,5]=>[[1,2,4,5],[3,6],[7,8]]=>11
[7,6,1,5,4,8,3,2]=>[[1,4,6],[2],[3],[5],[7],[8]]=>23
[4,7,3,2,1,8,5,6]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[3,1,7,2,5,8,4,6]=>[[1,3,5,6],[2,4,8],[7]]=>16
[4,8,7,6,1,2,5,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[7,8,6,1,3,2,5,4]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[2,8,6,7,4,1,3,5]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[5,8,6,4,2,3,1,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[2,8,3,1,6,5,4,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[3,8,1,2,5,7,4,6]=>[[1,2,5,6],[3,4,8],[7]]=>10
[6,8,5,4,2,7,3,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[6,8,3,1,2,4,5,7]=>[[1,2,6,7,8],[3,5],[4]]=>11
[4,6,8,7,3,1,5,2]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[6,5,3,7,8,4,1,2]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[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]]=>18
[8,4,5,2,1,6,3,7]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[4,3,2,6,8,1,7,5]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[7,1,5,6,3,8,2,4]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[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]]=>14
[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]]=>20
[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]]=>10
[5,6,8,1,7,3,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[3,1,6,8,7,4,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[7,4,6,8,2,1,5,3]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[6,5,8,4,3,1,2,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[2,5,8,3,6,7,4,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[8,5,1,3,7,4,6,2]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[1,5,8,3,7,4,2,6]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[3,8,2,7,1,5,6,4]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[5,8,2,3,6,4,1,7]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[6,8,2,3,4,7,5,1]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[7,5,1,8,4,2,6,3]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[3,6,8,5,2,7,4,1]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[2,1,6,5,4,8,3,7]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[2,1,7,8,4,6,5,3]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[2,1,7,4,3,5,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>14
[3,5,7,8,4,6,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>6
[7,5,2,8,4,6,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[7,8,2,4,3,1,5,6]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[7,6,3,8,1,5,4,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[8,4,3,1,7,5,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[7,3,1,4,6,8,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[4,3,8,7,1,6,5,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[5,2,4,3,6,8,1,7]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[3,8,6,5,4,1,2,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[4,7,5,6,3,8,2,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>18
[4,2,7,5,8,3,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[5,8,2,7,3,4,6,1]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[6,7,2,4,5,3,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[6,3,2,1,4,8,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[6,2,3,1,4,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>14
[5,2,1,3,6,4,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>12
[7,1,8,3,5,4,6,2]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[7,1,2,4,8,5,6,3]=>[[1,3,4,5,7],[2,6],[8]]=>12
[7,2,1,3,4,5,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>9
[8,7,3,5,4,2,1,6]=>[[1,4,8],[2],[3],[5],[6],[7]]=>21
[8,4,6,5,3,2,1,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>22
[5,1,6,4,3,2,8,7]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[8,3,7,1,4,6,5,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[2,8,3,6,4,7,5,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[6,2,1,7,5,8,3,4]=>[[1,4,6],[2,5,8],[3,7]]=>16
[6,3,8,7,5,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[6,7,2,1,5,8,4,3]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[7,6,8,1,5,4,3,2]=>[[1,3],[2,5],[4],[6],[7],[8]]=>26
[5,4,8,7,6,1,3,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[7,6,1,8,5,4,3,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>21
[6,5,8,1,7,4,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[6,5,8,7,4,1,3,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[1,6,4,8,3,2,5,7]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[1,8,3,5,6,2,4,7]=>[[1,2,4,5,8],[3,7],[6]]=>12
[1,4,8,5,6,2,3,7]=>[[1,2,3,5,8],[4,7],[6]]=>11
[1,2,8,5,3,7,4,6]=>[[1,2,3,6,8],[4,7],[5]]=>8
[6,1,4,8,2,3,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>15
[8,7,2,5,6,1,4,3]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[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]]=>12
[1,7,4,2,5,3,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>11
[6,7,4,2,1,3,8,5]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[6,4,3,8,5,7,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[7,4,3,6,2,1,5,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[7,2,5,3,4,1,6,8]=>[[1,3,5,7,8],[2],[4],[6]]=>18
[8,3,7,4,5,6,1,2]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[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]]=>13
[3,7,5,2,4,1,6,8]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[7,1,3,2,8,4,5,6]=>[[1,3,5,7,8],[2,6],[4]]=>16
[2,1,7,4,8,3,5,6]=>[[1,3,5,8],[2,4,7],[6]]=>18
[5,2,8,6,1,3,4,7]=>[[1,3,7,8],[2,4],[5,6]]=>14
[2,8,3,1,4,5,6,7]=>[[1,2,5,6,7,8],[3],[4]]=>7
[7,4,8,2,3,1,5,6]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[4,2,7,3,1,5,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[8,3,7,2,1,4,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[6,5,2,4,7,1,3,8]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[6,5,7,4,1,8,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[7,6,4,5,1,8,2,3]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[8,6,4,1,3,7,2,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[6,4,3,1,8,2,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[7,4,1,2,8,3,5,6]=>[[1,4,5,7,8],[2,6],[3]]=>11
[4,8,1,3,5,7,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>10
[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]]=>23
[5,3,6,1,8,2,4,7]=>[[1,3,5,8],[2,6,7],[4]]=>16
[4,7,3,1,8,2,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>10
[8,3,1,7,2,4,5,6]=>[[1,4,6,7,8],[2,5],[3]]=>12
[2,8,1,4,7,3,5,6]=>[[1,2,5,8],[3,4,7],[6]]=>12
[3,1,8,5,4,7,6,2]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[4,1,5,8,3,7,6,2]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[4,1,5,3,8,7,6,2]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[4,5,1,8,2,7,6,3]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[4,8,5,3,1,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[4,5,2,8,1,7,6,3]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[4,5,2,1,8,7,6,3]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[5,6,2,7,8,1,4,3]=>[[1,2,4,5],[3,7],[6,8]]=>13
[4,6,2,8,7,1,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[4,8,6,3,7,1,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[4,8,6,3,7,5,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[4,6,8,2,7,5,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[4,6,2,8,7,5,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[5,6,2,7,4,1,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>13
[5,6,7,2,3,1,8,4]=>[[1,2,3,7],[4,5,8],[6]]=>7
[5,6,7,2,8,3,1,4]=>[[1,2,3,5],[4,6,8],[7]]=>10
[5,6,7,2,1,8,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>8
[5,6,7,2,1,3,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>10
[5,6,1,7,8,2,4,3]=>[[1,2,4,5],[3,6,7],[8]]=>10
[5,6,1,7,2,4,8,3]=>[[1,2,4,7],[3,5,6],[8]]=>12
[5,1,6,7,8,3,4,2]=>[[1,3,4,5],[2,6,7],[8]]=>11
[4,1,6,8,7,3,5,2]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[3,1,8,6,7,5,4,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[4,1,6,8,7,5,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[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]]=>11
[4,6,8,1,7,5,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[4,8,6,1,7,5,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[5,6,7,1,8,3,2,4]=>[[1,2,3,5],[4,6,8],[7]]=>10
[5,6,7,1,3,8,2,4]=>[[1,2,3,6],[4,5,8],[7]]=>9
[5,6,7,1,3,2,8,4]=>[[1,2,3,7],[4,5,8],[6]]=>7
[5,6,7,3,1,2,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>10
[5,6,7,3,8,1,2,4]=>[[1,2,3,5],[4,7,8],[6]]=>11
[5,6,8,7,4,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[5,6,7,3,8,2,1,4]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[7,4,6,2,3,5,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[1,4,8,6,3,2,5,7]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[7,4,1,6,3,8,5,2]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[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]]=>13
[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]]=>16
[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]]=>9
[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]]=>20
[8,5,4,1,3,2,7,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[1,4,2,3,6,8,7,5]=>[[1,2,4,5,6],[3,7],[8]]=>9
[5,4,8,3,7,1,6,2]=>[[1,3],[2,5],[4,7],[6,8]]=>24
[4,7,1,8,2,5,3,6]=>[[1,2,4,8],[3,5,6],[7]]=>11
[6,4,1,8,5,3,7,2]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[8,4,6,1,3,5,2,7]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[3,2,5,4,7,8,1,6]=>[[1,3,5,6],[2,4,8],[7]]=>16
[5,2,4,3,7,8,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[8,1,6,7,2,5,3,4]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[3,1,7,6,5,8,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[1,2,7,5,6,8,3,4]=>[[1,2,3,5,6],[4,8],[7]]=>9
[6,1,4,7,2,8,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>14
[3,2,1,7,6,8,4,5]=>[[1,4,6],[2,5,8],[3,7]]=>16
[3,2,8,6,4,7,1,5]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[7,8,4,6,3,2,1,5]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[1,8,6,5,3,7,2,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[8,2,5,3,6,7,1,4]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[3,8,5,2,7,6,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[4,7,5,3,1,8,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[4,5,3,6,8,1,7,2]=>[[1,2,4,5],[3,7],[6,8]]=>13
[3,5,2,6,1,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>14
[1,6,3,5,7,2,8,4]=>[[1,2,4,5,7],[3,8],[6]]=>11
[1,5,4,6,7,8,2,3]=>[[1,2,4,5,6],[3,8],[7]]=>10
[8,4,6,5,7,2,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[7,4,5,2,6,8,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[5,4,2,6,8,7,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[6,5,1,4,3,2,8,7]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[3,6,4,5,2,1,8,7]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[7,5,4,2,3,8,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[7,8,1,3,5,6,2,4]=>[[1,2,5,6],[3,4],[7,8]]=>10
[1,7,8,3,5,6,2,4]=>[[1,2,3,6],[4,5],[7,8]]=>9
[3,1,7,8,5,2,6,4]=>[[1,3,4],[2,5,7],[6,8]]=>15
[1,3,7,5,8,2,6,4]=>[[1,2,3,5],[4,7],[6,8]]=>12
[3,1,7,5,8,2,6,4]=>[[1,3,5],[2,4,7],[6,8]]=>19
[3,5,7,1,8,4,6,2]=>[[1,2,3,5],[4,6,7],[8]]=>9
[3,5,7,8,1,4,6,2]=>[[1,2,3,4],[5,6,7],[8]]=>5
[5,3,7,8,4,6,1,2]=>[[1,3,4],[2,5,6],[7,8]]=>13
[5,3,7,1,8,4,6,2]=>[[1,3,5],[2,6,7],[4,8]]=>17
[5,1,3,7,8,4,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>12
[3,6,2,1,4,5,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>12
[4,6,2,5,1,3,8,7]=>[[1,2,7],[3,4,8],[5,6]]=>9
[6,4,2,5,1,3,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[8,6,1,7,3,2,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[2,5,8,1,7,3,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>8
[6,8,2,7,3,1,4,5]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[6,8,2,3,7,1,4,5]=>[[1,2,5,8],[3,4],[6,7]]=>11
[8,6,2,7,4,5,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[5,2,8,1,7,3,4,6]=>[[1,3,7,8],[2,5],[4,6]]=>18
[4,2,3,8,1,5,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>15
[5,2,8,3,7,1,4,6]=>[[1,3,5,8],[2,4],[6,7]]=>17
[5,2,8,4,6,1,3,7]=>[[1,3,5,8],[2,4],[6,7]]=>17
[2,1,5,8,4,3,6,7]=>[[1,3,4,8],[2,5,7],[6]]=>14
[5,8,3,2,7,1,4,6]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[4,1,3,8,2,5,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>15
[3,5,8,2,7,1,4,6]=>[[1,2,3],[4,5,8],[6,7]]=>8
[4,5,8,2,6,1,3,7]=>[[1,2,3,8],[4,5],[6,7]]=>7
[2,6,8,3,7,1,4,5]=>[[1,2,3,8],[4,5],[6,7]]=>7
[5,1,8,3,7,2,4,6]=>[[1,3,5,8],[2,4],[6,7]]=>17
[5,1,8,4,6,2,3,7]=>[[1,3,5,8],[2,4],[6,7]]=>17
[5,8,4,1,6,2,3,7]=>[[1,2,7,8],[3,5],[4,6]]=>12
[4,5,8,1,6,2,3,7]=>[[1,2,3,8],[4,5,7],[6]]=>8
[5,4,8,1,6,2,3,7]=>[[1,3,7,8],[2,5],[4,6]]=>18
[4,8,5,1,6,2,3,7]=>[[1,2,5,8],[3,6,7],[4]]=>10
[2,1,5,4,8,3,6,7]=>[[1,3,5,8],[2,4,7],[6]]=>18
[2,4,3,8,1,5,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>14
[3,1,8,4,2,5,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>13
[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]]=>6
[3,4,2,8,1,5,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>14
[3,8,5,2,7,1,4,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[4,8,5,2,6,1,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[2,1,4,8,5,3,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>12
[3,2,8,4,1,5,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>13
[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]]=>17
[5,7,4,3,8,1,6,2]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[5,7,4,3,8,2,6,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[3,8,4,2,6,7,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[3,8,4,1,6,7,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[6,1,7,5,2,8,4,3]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[5,6,4,3,2,8,1,7]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[2,6,7,5,3,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[6,7,4,8,2,5,3,1]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[2,1,6,7,5,3,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>13
[3,8,4,2,1,6,7,5]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[5,7,4,3,8,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[6,7,4,8,1,2,5,3]=>[[1,2,4],[3,6,7],[5,8]]=>15
[6,7,5,8,1,2,4,3]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[6,7,4,8,3,1,2,5]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[3,4,8,1,2,5,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>7
[6,1,3,4,8,2,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>13
[6,2,3,4,8,1,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>13
[3,4,8,2,1,5,7,6]=>[[1,2,3,7],[4,6],[5,8]]=>11
[6,7,5,8,2,4,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[6,7,5,8,3,1,4,2]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[3,4,8,1,5,7,6,2]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[2,5,7,6,1,4,8,3]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[6,7,4,8,2,3,5,1]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[6,7,4,8,1,3,5,2]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[2,6,7,5,1,3,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>10
[6,3,1,4,8,2,5,7]=>[[1,4,5,8],[2,6,7],[3]]=>11
[6,7,4,8,1,3,2,5]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[6,7,5,8,4,1,3,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[6,7,4,8,2,1,3,5]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[6,7,4,8,1,2,3,5]=>[[1,2,4,8],[3,6,7],[5]]=>14
[1,5,6,3,4,8,2,7]=>[[1,2,3,6],[4,5,8],[7]]=>9
[1,4,3,6,5,8,2,7]=>[[1,2,4,6],[3,5,8],[7]]=>14
[8,1,3,4,7,2,6,5]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[5,1,7,3,4,8,2,6]=>[[1,3,5,6],[2,4,8],[7]]=>16
[6,7,8,2,3,5,4,1]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[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]]=>13
[1,8,3,4,7,6,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[8,7,2,3,6,5,4,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>20
[3,8,1,7,5,2,6,4]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[4,8,1,6,7,2,5,3]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[2,1,3,8,4,6,5,7]=>[[1,3,4,6,8],[2,5],[7]]=>14
[8,2,1,7,4,3,6,5]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[1,3,2,8,5,4,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>11
[8,3,1,5,7,2,6,4]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[8,4,5,1,7,2,6,3]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[1,5,6,8,7,4,2,3]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[8,4,5,7,6,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>21
[1,4,8,5,7,6,2,3]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[2,4,8,5,7,3,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[4,3,8,6,5,7,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[6,7,2,8,5,3,4,1]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[5,2,7,8,6,3,4,1]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[4,2,8,6,7,3,5,1]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[3,2,8,7,5,4,6,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[3,1,8,7,5,6,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[4,1,8,6,7,5,2,3]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[5,1,7,8,6,4,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[6,7,1,8,5,4,2,3]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[7,8,3,2,6,1,4,5]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[3,4,8,2,6,1,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>8
[7,8,4,1,5,6,3,2]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[7,8,1,4,5,6,3,2]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[7,8,1,2,6,3,4,5]=>[[1,2,5,7,8],[3,4],[6]]=>10
[7,8,5,1,4,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[7,8,4,5,1,6,3,2]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[5,3,8,4,1,6,7,2]=>[[1,3,6,7],[2,4],[5,8]]=>15
[6,2,4,8,1,5,3,7]=>[[1,3,4,8],[2,6],[5,7]]=>16
[3,4,8,5,1,6,7,2]=>[[1,2,3,6,7],[4,8],[5]]=>7
[3,5,8,1,4,6,7,2]=>[[1,2,3,7],[4,5,6],[8]]=>7
[1,4,8,2,6,3,7,5]=>[[1,2,3,7],[4,5,8],[6]]=>7
[5,3,8,1,4,6,7,2]=>[[1,3,6,7],[2,5],[4,8]]=>19
[4,2,6,8,1,5,3,7]=>[[1,3,4],[2,6,8],[5,7]]=>17
[7,4,2,8,1,5,3,6]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[6,1,7,5,8,4,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[6,2,1,8,4,5,3,7]=>[[1,4,6,8],[2,5],[3,7]]=>15
[1,2,7,8,5,3,4,6]=>[[1,2,3,4,8],[5,7],[6]]=>7
[6,3,7,8,5,4,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[6,1,5,7,8,4,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[1,7,5,6,8,4,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[3,1,8,4,5,6,7,2]=>[[1,3,5,6,7],[2,4],[8]]=>14
[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]]=>13
[4,2,1,8,6,5,3,7]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[3,2,7,8,5,1,4,6]=>[[1,3,4],[2,5,8],[6,7]]=>14
[2,3,7,8,5,1,4,6]=>[[1,2,3,4],[5,7,8],[6]]=>7
[2,7,3,8,5,1,4,6]=>[[1,2,4,8],[3,5],[6,7]]=>12
[3,6,2,8,5,1,4,7]=>[[1,2,4],[3,5,8],[6,7]]=>13
[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]]=>13
[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]]=>13
[1,2,6,8,4,5,3,7]=>[[1,2,3,4,8],[5,6],[7]]=>5
[7,1,6,5,8,4,3,2]=>[[1,3,5],[2],[4],[6],[7],[8]]=>25
[6,5,7,1,8,4,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[5,7,6,1,8,4,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[6,7,1,5,8,4,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[6,7,3,8,5,4,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[7,1,2,8,4,5,3,6]=>[[1,3,4,6,8],[2,5],[7]]=>14
[7,6,1,5,8,4,3,2]=>[[1,4,5],[2],[3],[6],[7],[8]]=>20
[7,5,6,1,8,4,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[7,1,6,5,3,2,4,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>18
[1,8,7,5,3,2,4,6]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[1,8,7,4,2,5,3,6]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[8,7,4,2,5,3,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[7,1,6,4,2,5,3,8]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[2,6,5,4,7,1,3,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[7,1,5,3,6,4,2,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[5,3,7,1,6,4,2,8]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[5,3,6,4,2,7,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[1,5,3,8,7,4,2,6]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[7,4,2,8,6,3,5,1]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[5,3,6,1,8,7,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[6,1,5,3,8,7,4,2]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[2,8,7,5,4,6,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[2,3,1,8,7,5,4,6]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[5,3,8,7,4,2,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[7,4,2,1,8,6,3,5]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[8,6,3,5,7,4,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>20
[1,8,6,3,5,7,4,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[6,3,8,5,2,1,7,4]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[8,6,3,7,4,2,1,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[2,8,6,4,7,5,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[5,1,8,6,3,7,4,2]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[6,3,7,4,1,8,5,2]=>[[1,3,6],[2,4,7],[5,8]]=>16
[8,5,2,6,3,7,4,1]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[6,1,8,7,4,2,5,3]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[8,6,3,7,4,2,5,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[1,8,6,3,2,4,7,5]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[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]]=>15
[6,1,8,7,5,3,2,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[4,3,2,8,7,6,1,5]=>[[1,4],[2,5],[3,6],[7,8]]=>17
[2,4,5,1,3,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>8
[7,5,8,6,3,2,4,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[1,7,5,8,6,3,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[1,7,4,2,5,8,6,3]=>[[1,2,5,6],[3,7],[4,8]]=>10
[8,6,3,1,7,4,2,5]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[8,7,4,2,5,3,1,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[5,3,1,8,7,4,2,6]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[4,1,8,7,5,3,2,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[2,8,6,4,1,3,7,5]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[4,1,8,6,3,2,7,5]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[7,4,2,8,6,3,1,5]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[6,3,1,8,5,2,7,4]=>[[1,4,7],[2,5,8],[3,6]]=>14
[8,5,2,6,3,1,7,4]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[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]]=>13
[8,5,2,7,4,6,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[7,4,6,3,1,8,5,2]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[6,3,1,7,4,8,5,2]=>[[1,4,6],[2,5,7],[3,8]]=>15
[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]]=>18
[2,3,1,7,5,8,6,4]=>[[1,2,4,6],[3,5,7],[8]]=>13
[7,4,8,5,2,1,6,3]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[8,5,2,1,7,4,6,3]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[1,7,4,6,3,8,5,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[4,1,8,5,7,3,2,6]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[2,1,5,7,8,4,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>12
[5,1,7,4,8,3,2,6]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[4,7,2,8,3,6,1,5]=>[[1,2,4],[3,5,6],[7,8]]=>12
[4,6,2,7,3,1,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>12
[6,2,8,4,1,7,3,5]=>[[1,3,6],[2,4,8],[5,7]]=>17
[6,3,4,8,1,7,2,5]=>[[1,3,4],[2,6,8],[5,7]]=>17
[1,8,5,4,2,3,7,6]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[3,5,4,8,1,2,7,6]=>[[1,2,4],[3,6,7],[5,8]]=>15
[5,6,3,8,7,1,2,4]=>[[1,2,4],[3,5,8],[6,7]]=>13
[2,6,8,4,1,7,3,5]=>[[1,2,3],[4,6,8],[5,7]]=>11
[1,8,7,4,2,6,3,5]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[6,3,5,8,7,1,2,4]=>[[1,3,4],[2,5,8],[6,7]]=>14
[5,2,8,6,7,1,3,4]=>[[1,3,5],[2,4,8],[6,7]]=>18
[6,2,8,7,5,1,3,4]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[1,8,5,7,6,2,3,4]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[3,6,7,8,5,1,2,4]=>[[1,2,3,4],[5,7,8],[6]]=>7
[1,8,6,7,5,2,3,4]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[5,7,6,4,8,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[6,3,8,7,5,1,2,4]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[2,8,7,4,1,3,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[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]]=>13
[5,4,2,7,6,8,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[2,8,7,1,4,5,3,6]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[4,2,1,8,7,3,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>13
[5,1,6,3,2,8,7,4]=>[[1,3,6],[2,4,7],[5,8]]=>16
[4,6,1,8,7,3,2,5]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[8,7,2,3,5,4,1,6]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[5,3,1,4,8,7,2,6]=>[[1,4,5],[2,6,8],[3,7]]=>13
[4,3,5,2,8,7,1,6]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[3,4,2,8,6,1,5,7]=>[[1,2,4,8],[3,5],[6,7]]=>12
[3,7,6,8,1,5,2,4]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[8,1,4,2,3,6,7,5]=>[[1,3,5,6,7],[2,8],[4]]=>14
[3,7,2,1,8,6,4,5]=>[[1,2,5],[3,6,8],[4,7]]=>12
[2,8,6,1,7,3,5,4]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[1,7,6,3,5,8,2,4]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[3,7,5,1,6,8,2,4]=>[[1,2,5,6],[3,7,8],[4]]=>9
[3,6,5,8,1,4,7,2]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[8,1,5,6,4,7,2,3]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[3,6,7,4,1,8,2,5]=>[[1,2,3,6],[4,7,8],[5]]=>8
[1,7,4,6,8,2,5,3]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[7,5,8,2,6,3,1,4]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[2,7,1,6,5,4,8,3]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[7,3,2,6,1,8,5,4]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[6,4,7,2,3,1,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[5,3,1,8,4,6,2,7]=>[[1,4,6,8],[2,5],[3,7]]=>15
[3,8,1,6,7,4,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[2,7,4,3,6,8,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[2,8,4,6,1,5,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[8,4,1,6,3,2,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[4,7,3,8,5,2,1,6]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[3,1,7,4,8,5,2,6]=>[[1,3,5,8],[2,4,6],[7]]=>16
[7,4,1,6,3,2,8,5]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[3,8,6,2,7,4,1,5]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[7,3,1,4,5,2,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>12
[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]]=>12
[8,1,3,6,7,5,4,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[7,5,2,3,8,6,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[8,6,2,4,1,3,7,5]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[4,7,5,1,8,6,3,2]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[4,7,3,2,8,5,6,1]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[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]]=>22
[3,8,4,6,1,7,5,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[3,7,4,6,5,2,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>17
[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]]=>12
[3,5,1,6,8,4,7,2]=>[[1,2,4,5],[3,6,7],[8]]=>10
[6,1,5,7,3,8,4,2]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[5,8,4,7,3,2,6,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>15
[7,2,6,5,8,4,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[8,3,2,5,1,6,7,4]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[2,6,8,3,7,4,1,5]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[8,1,5,6,4,7,3,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[2,5,8,1,6,4,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[7,4,1,8,3,2,6,5]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[8,3,7,4,2,1,6,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[5,2,6,8,3,1,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>15
[3,6,5,8,4,1,7,2]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[7,3,6,1,8,4,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[8,2,7,3,4,6,5,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>20
[7,3,8,2,5,6,4,1]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[5,7,3,1,6,4,8,2]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[6,1,3,2,4,8,7,5]=>[[1,3,5,6],[2,7],[4,8]]=>16
[8,7,4,2,3,6,1,5]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[8,7,1,5,4,2,3,6]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[3,7,1,5,2,8,6,4]=>[[1,2,6],[3,4,7],[5,8]]=>10
[8,7,2,5,4,1,3,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[8,7,2,5,3,1,4,6]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[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]]=>17
[8,1,6,2,7,5,3,4]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[7,1,6,2,8,5,3,4]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[6,3,4,1,7,2,8,5]=>[[1,3,5,7],[2,6,8],[4]]=>17
[7,2,4,3,5,1,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[5,1,7,2,3,8,6,4]=>[[1,3,5,6],[2,4,7],[8]]=>15
[8,2,3,5,1,7,6,4]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[7,6,3,1,4,8,2,5]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[6,1,8,2,7,5,3,4]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[7,2,8,1,6,5,3,4]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[7,2,6,4,3,8,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[5,1,7,4,3,8,2,6]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[5,3,1,7,4,8,2,6]=>[[1,4,6],[2,5,8],[3,7]]=>16
[7,4,8,2,1,5,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[8,2,4,1,6,3,7,5]=>[[1,3,5,7],[2,6,8],[4]]=>17
[8,2,7,5,1,6,4,3]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[6,1,7,3,2,8,5,4]=>[[1,3,6],[2,4,7],[5,8]]=>16
[4,7,2,1,6,3,8,5]=>[[1,2,7],[3,5,8],[4,6]]=>13
[6,2,1,5,3,8,4,7]=>[[1,4,6,8],[2,5,7],[3]]=>14
[5,3,1,6,2,8,4,7]=>[[1,4,6,8],[2,5,7],[3]]=>14
[6,1,5,2,8,4,3,7]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[7,4,3,8,1,5,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[7,4,8,1,5,3,2,6]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[6,1,5,3,2,8,4,7]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[6,3,2,8,4,1,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[7,3,4,2,8,5,1,6]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[7,1,6,3,4,2,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,5,1,3,7,4,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[3,8,6,1,5,2,7,4]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[8,6,1,3,7,5,2,4]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[4,8,5,6,1,7,3,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[6,7,1,3,8,5,2,4]=>[[1,2,5],[3,4,6],[7,8]]=>11
[3,6,7,1,5,2,8,4]=>[[1,2,3,7],[4,5,8],[6]]=>7
[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]]=>15
[5,6,2,8,1,3,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>15
[6,1,8,3,7,5,2,4]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[7,4,2,1,5,8,3,6]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[7,4,1,5,8,3,2,6]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[7,3,2,6,4,8,1,5]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[6,4,2,7,3,8,1,5]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[5,1,8,3,7,4,2,6]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[7,4,8,3,1,5,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[5,2,1,7,4,8,3,6]=>[[1,4,6],[2,5,8],[3,7]]=>16
[6,1,8,4,5,2,7,3]=>[[1,3,5,7],[2,4],[6,8]]=>18
[7,1,6,4,5,2,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[3,5,2,7,1,6,8,4]=>[[1,2,4,7],[3,6],[5,8]]=>16
[4,5,7,3,1,6,8,2]=>[[1,2,3,7],[4,6],[5,8]]=>11
[4,5,7,2,8,6,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>10
[3,5,1,7,2,6,8,4]=>[[1,2,4,7],[3,5,6],[8]]=>12
[4,5,7,2,8,1,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>11
[4,6,7,2,1,5,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>11
[4,6,7,1,3,8,5,2]=>[[1,2,3,6],[4,5,7],[8]]=>8
[3,6,1,5,7,8,4,2]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[4,6,7,1,5,8,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[6,1,3,7,4,8,5,2]=>[[1,3,4,6],[2,5,7],[8]]=>14
[3,2,1,7,4,8,5,6]=>[[1,4,6,8],[2,5,7],[3]]=>14
[4,1,5,2,7,6,3,8]=>[[1,3,5,8],[2,4,6],[7]]=>16
[2,5,1,3,7,6,4,8]=>[[1,2,5,8],[3,4,6],[7]]=>10
[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]]=>14
[6,2,7,1,4,8,5,3]=>[[1,3,6],[2,5,7],[4,8]]=>20
[3,7,4,2,1,8,5,6]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[7,2,5,3,1,8,6,4]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[7,5,1,4,2,8,6,3]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[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]]=>14
[6,3,2,8,1,5,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[7,4,3,2,8,1,6,5]=>[[1,5],[2,7],[3,8],[4],[6]]=>19
[7,6,2,4,8,3,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[7,3,6,4,8,1,5,2]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[2,7,5,3,8,1,4,6]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[1,8,5,3,6,4,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[8,6,2,3,7,5,4,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[8,6,3,2,7,5,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>17
[8,3,2,7,1,6,4,5]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[7,2,6,1,5,4,3,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[8,5,7,4,3,6,2,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>25
[8,5,7,2,4,6,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[8,4,6,7,1,3,2,5]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[2,8,5,6,1,4,3,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[7,2,6,8,4,1,5,3]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[7,6,4,8,3,2,5,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>23
[6,5,8,1,4,2,7,3]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[6,5,8,4,1,3,7,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[5,4,8,3,2,1,7,6]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[4,3,7,2,1,6,5,8]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[2,5,8,1,4,3,7,6]=>[[1,2,3],[4,5,7],[6,8]]=>9
[3,6,8,2,1,5,7,4]=>[[1,2,3],[4,6,7],[5,8]]=>10
[5,7,4,8,1,3,6,2]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[5,7,1,4,8,2,6,3]=>[[1,2,5],[3,4,7],[6,8]]=>13
[2,7,4,1,8,3,6,5]=>[[1,2,5],[3,6,7],[4,8]]=>11
[3,5,1,8,4,2,7,6]=>[[1,2,4],[3,5,7],[6,8]]=>14
[4,1,5,7,3,6,2,8]=>[[1,3,4,8],[2,5,6],[7]]=>12
[4,2,5,8,3,1,7,6]=>[[1,3,4],[2,5,7],[6,8]]=>15
[6,1,2,7,8,3,5,4]=>[[1,3,4,5],[2,6,7],[8]]=>11
[5,3,1,8,6,4,2,7]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[3,1,8,4,7,5,2,6]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[4,2,8,7,3,5,1,6]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[4,8,1,7,6,2,3,5]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[6,8,1,4,7,5,2,3]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[7,3,8,1,6,4,2,5]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[4,7,8,1,5,3,2,6]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[7,1,8,6,2,5,3,4]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[5,8,7,1,3,6,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[3,8,7,2,1,6,4,5]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[2,8,7,1,6,3,5,4]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[3,7,6,1,5,4,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[4,8,7,6,1,3,5,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[5,8,7,2,6,1,4,3]=>[[1,2],[3,5],[4,7],[6],[8]]=>19
[6,8,1,7,5,2,4,3]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[7,3,8,6,5,1,2,4]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[5,7,8,4,3,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[5,8,6,4,3,2,1,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>16
[8,7,3,6,4,2,1,5]=>[[1,4,8],[2],[3],[5],[6],[7]]=>21
[6,1,4,2,5,3,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>16
[1,3,7,5,4,2,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[6,1,3,5,4,2,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[6,1,2,5,4,7,3,8]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[5,1,6,3,4,7,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>14
[5,2,6,3,4,7,1,8]=>[[1,3,5,6,8],[2,4],[7]]=>15
[3,4,7,5,8,6,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>10
[2,4,7,1,5,3,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>7
[2,3,6,7,4,8,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>8
[1,3,6,7,4,8,5,2]=>[[1,2,3,4,6],[5,7],[8]]=>7
[2,7,6,5,3,1,8,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[5,2,6,1,4,7,8,3]=>[[1,3,6,7],[2,5],[4,8]]=>19
[4,7,6,5,2,1,8,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[5,3,6,2,4,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[5,7,4,2,1,3,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[6,3,1,5,4,7,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[5,3,6,1,4,2,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>18
[1,7,4,2,6,3,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>11
[5,7,4,1,2,3,6,8]=>[[1,2,6,7,8],[3,5],[4]]=>11
[6,4,1,2,5,3,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>11
[4,7,6,3,8,5,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[3,7,6,5,2,8,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[3,7,6,5,1,2,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[4,7,2,6,1,3,8,5]=>[[1,2,7],[3,4,8],[5,6]]=>9
[2,7,1,6,8,3,5,4]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[2,7,6,5,8,1,4,3]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[5,2,8,7,6,4,3,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>22
[8,2,7,6,1,5,4,3]=>[[1,3],[2,6],[4],[5],[7],[8]]=>25
[8,4,1,7,6,5,3,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>21
[4,5,6,2,3,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>9
[4,5,3,2,7,8,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[6,5,7,3,8,4,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[6,8,7,2,4,3,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[3,2,7,4,5,8,1,6]=>[[1,3,5,6],[2,4,8],[7]]=>16
[6,8,1,5,2,4,3,7]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[8,3,4,6,1,5,2,7]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[2,3,4,7,5,8,1,6]=>[[1,2,3,4,6],[5,8],[7]]=>8
[6,3,4,7,8,2,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[5,3,7,4,8,6,1,2]=>[[1,3,5],[2,4,6],[7,8]]=>17
[8,3,6,4,1,7,2,5]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[1,3,7,4,8,6,2,5]=>[[1,2,3,5],[4,6],[7,8]]=>10
[3,7,8,5,4,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[5,4,3,1,7,8,2,6]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[5,7,6,2,8,4,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[6,1,7,5,8,3,4,2]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[7,5,6,4,1,3,8,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[1,5,6,8,4,7,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[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]]=>13
[8,5,7,4,3,1,6,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[6,8,5,1,7,2,4,3]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[8,2,4,1,3,7,6,5]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[7,8,3,6,2,1,4,5]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[8,1,7,4,2,3,6,5]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[1,8,7,2,3,5,6,4]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[2,8,3,1,6,7,5,4]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[8,2,3,1,5,7,6,4]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[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]]=>20
[6,3,2,1,8,4,7,5]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[2,3,7,4,1,8,5,6]=>[[1,2,3,6,8],[4,7],[5]]=>8
[6,4,1,3,2,7,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[2,7,8,5,1,3,6,4]=>[[1,2,3],[4,6,7],[5,8]]=>10
[8,2,5,6,7,1,3,4]=>[[1,3,4,5],[2,7,8],[6]]=>13
[2,8,5,4,7,6,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[6,7,1,5,8,2,4,3]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[4,8,7,6,2,3,5,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[7,8,1,5,3,2,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[6,5,7,3,8,2,1,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[8,1,4,7,2,5,6,3]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[7,3,4,6,1,5,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[8,3,4,5,7,1,6,2]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[4,2,6,8,3,1,5,7]=>[[1,3,4,8],[2,5,7],[6]]=>14
[3,7,6,2,4,5,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[2,3,6,5,8,1,4,7]=>[[1,2,3,5],[4,7,8],[6]]=>11
[2,3,5,8,6,1,4,7]=>[[1,2,3,4,8],[5,7],[6]]=>7
[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]]=>11
[1,2,3,7,4,6,8,5]=>[[1,2,3,4,6,7],[5],[8]]=>6
[3,2,7,1,4,5,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>18
[2,1,5,3,8,7,4,6]=>[[1,3,5,8],[2,4,6],[7]]=>16
[5,8,3,2,4,1,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[4,2,7,1,8,3,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>16
[4,1,8,2,7,3,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>16
[1,2,7,5,3,8,4,6]=>[[1,2,3,6,8],[4,7],[5]]=>8
[3,2,7,1,4,8,5,6]=>[[1,3,6,8],[2,5,7],[4]]=>19
[1,2,3,7,6,8,4,5]=>[[1,2,3,4,6],[5,8],[7]]=>8
[1,2,3,6,8,7,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>5
[1,2,3,7,8,4,6,5]=>[[1,2,3,4,5],[6,7],[8]]=>4
[1,2,3,6,8,4,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>4
[1,2,3,7,8,6,4,5]=>[[1,2,3,4,5],[6,8],[7]]=>5
[6,2,8,3,7,5,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[4,2,8,3,7,5,6,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[7,3,4,8,6,5,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[5,3,4,8,7,2,6,1]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[4,3,5,8,7,2,6,1]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[4,6,3,8,5,7,2,1]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[7,5,3,8,6,2,4,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[2,6,8,3,7,4,5,1]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[1,8,4,3,7,5,6,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[2,5,8,3,7,4,6,1]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[7,4,3,8,6,2,5,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[3,5,4,8,7,2,6,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[4,5,3,8,6,7,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[3,6,7,8,4,5,2,1]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[2,6,8,5,4,7,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[1,8,5,6,4,7,3,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>18
[2,5,8,6,4,7,3,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>13
[7,4,6,5,8,3,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>25
[6,3,7,8,4,5,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[4,3,7,8,5,6,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[5,2,8,6,4,7,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[4,2,8,6,5,7,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[3,2,8,6,7,4,5,1]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[2,3,8,7,5,4,6,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>12
[1,8,2,7,4,5,6,3]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[7,2,8,6,3,4,5,1]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[6,2,8,4,5,7,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[5,2,8,4,6,7,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[4,2,8,5,6,7,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[4,3,6,8,5,7,2,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[3,4,6,8,7,2,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[7,3,5,8,6,2,4,1]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[1,8,3,5,7,4,6,2]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[2,7,8,4,5,6,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[3,7,5,8,4,6,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[5,7,4,6,8,3,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[3,6,5,8,4,7,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[2,6,8,4,5,7,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[4,2,7,1,3,8,5,6]=>[[1,3,6,8],[2,5,7],[4]]=>19
[4,2,5,1,3,8,6,7]=>[[1,3,6,8],[2,5,7],[4]]=>19
[5,3,6,1,7,2,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>16
[3,7,1,2,5,8,6,4]=>[[1,2,5,6],[3,4,7],[8]]=>9
[3,7,4,1,2,8,5,6]=>[[1,2,6,8],[3,5,7],[4]]=>13
[7,5,1,3,4,8,6,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[7,5,1,2,4,8,6,3]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[6,4,2,3,7,1,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[7,6,3,8,1,2,5,4]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[7,4,2,3,8,1,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[4,7,5,2,8,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[8,2,6,3,7,1,4,5]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[8,6,1,2,7,4,5,3]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[8,4,7,1,2,3,6,5]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[8,5,7,1,2,4,6,3]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[8,5,7,1,3,4,6,2]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[8,6,2,7,1,3,5,4]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[3,8,5,6,1,2,4,7]=>[[1,2,4,8],[3,6,7],[5]]=>14
[3,7,5,8,1,2,4,6]=>[[1,2,4,8],[3,6,7],[5]]=>14
[7,6,4,8,1,3,5,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[6,5,8,1,2,4,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[3,6,8,1,2,5,7,4]=>[[1,2,3,7],[4,5,6],[8]]=>7
[3,7,2,4,8,1,6,5]=>[[1,2,5],[3,4,7],[6,8]]=>13
[4,6,3,8,1,2,5,7]=>[[1,2,4,8],[3,6,7],[5]]=>14
[4,6,3,7,1,2,5,8]=>[[1,2,4,8],[3,6,7],[5]]=>14
[4,1,7,8,2,3,6,5]=>[[1,3,4,7],[2,5,6],[8]]=>13
[5,1,2,8,6,3,4,7]=>[[1,3,4,7,8],[2,5],[6]]=>12
[5,3,8,1,6,2,4,7]=>[[1,3,7,8],[2,5],[4,6]]=>18
[6,1,8,5,2,3,4,7]=>[[1,3,6,7,8],[2,4],[5]]=>13
[6,1,7,5,2,3,4,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[6,8,1,3,7,4,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[7,2,8,1,6,3,4,5]=>[[1,3,7,8],[2,5],[4,6]]=>18
[4,7,8,2,5,1,3,6]=>[[1,2,3],[4,5,8],[6,7]]=>8
[6,8,2,7,1,4,5,3]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[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]]=>16
[5,8,6,4,1,2,3,7]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[7,8,4,1,2,5,3,6]=>[[1,2,6,8],[3,5],[4,7]]=>14
[7,8,1,2,6,5,3,4]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[1,4,8,2,7,5,3,6]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[6,1,3,4,7,2,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>13
[7,8,2,1,6,3,5,4]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[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]]=>11
[5,1,7,3,6,4,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[6,2,1,5,7,4,3,8]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[6,2,3,7,4,1,5,8]=>[[1,3,4,7,8],[2,5],[6]]=>12
[3,4,8,7,5,6,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[2,3,8,7,4,1,5,6]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[2,7,3,8,6,4,1,5]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[1,8,3,7,6,4,5,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>17
[5,2,7,1,4,6,8,3]=>[[1,3,6,7],[2,5],[4,8]]=>19
[4,6,7,5,2,1,8,3]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[6,3,1,4,5,7,8,2]=>[[1,4,5,6,7],[2,8],[3]]=>9
[5,3,1,4,6,2,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>11
[5,1,2,4,7,6,8,3]=>[[1,3,4,5,7],[2,6],[8]]=>12
[5,7,4,1,2,6,3,8]=>[[1,2,6,8],[3,5],[4,7]]=>14
[4,8,1,2,6,7,3,5]=>[[1,2,5,6],[3,4,8],[7]]=>10
[4,1,7,8,2,6,3,5]=>[[1,3,4,8],[2,5,6],[7]]=>12
[1,2,8,7,6,5,3,4]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[3,1,2,4,6,8,7,5]=>[[1,3,4,5,6],[2,7],[8]]=>10
[3,1,8,4,5,7,6,2]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[3,2,8,5,4,7,1,6]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[4,2,8,1,5,3,7,6]=>[[1,3,7],[2,5,8],[4,6]]=>19
[4,3,8,5,7,6,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[4,8,2,1,6,3,7,5]=>[[1,2,7],[3,5,8],[4,6]]=>13
[3,8,6,5,2,7,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[3,8,5,6,1,7,4,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[3,5,7,8,1,2,6,4]=>[[1,2,3,4],[5,6,7],[8]]=>5
[3,7,8,5,2,1,6,4]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[3,7,2,8,4,1,6,5]=>[[1,2,4],[3,5,7],[6,8]]=>14
[2,8,1,7,4,6,5,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[2,8,7,5,1,6,4,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[2,8,6,7,5,1,4,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[5,1,3,4,6,7,2,8]=>[[1,3,4,5,6,8],[2],[7]]=>10
[1,3,4,8,7,5,2,6]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[8,2,4,1,7,3,5,6]=>[[1,3,5,8],[2,6,7],[4]]=>16
[8,6,1,4,2,3,7,5]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[3,6,1,4,2,8,7,5]=>[[1,2,6],[3,4,7],[5,8]]=>10
[1,6,8,4,3,7,2,5]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[3,1,4,7,8,5,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>12
[6,1,7,4,3,8,2,5]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[1,8,7,4,3,6,2,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[7,4,1,3,8,2,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[4,8,2,3,1,5,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>9
[4,8,6,2,1,3,7,5]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[2,7,4,1,8,3,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>10
[1,7,8,4,2,3,6,5]=>[[1,2,3,7],[4,6],[5,8]]=>11
[4,7,1,3,8,2,6,5]=>[[1,2,5],[3,4,7],[6,8]]=>13
[8,7,1,3,4,2,6,5]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[1,7,4,3,6,2,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[3,8,6,4,5,2,1,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>15
[3,8,4,6,5,2,1,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[2,4,3,7,5,8,1,6]=>[[1,2,4,6],[3,5,8],[7]]=>14
[1,4,7,3,6,2,8,5]=>[[1,2,3,7],[4,5],[6,8]]=>8
[1,8,3,4,2,6,7,5]=>[[1,2,4,6,7],[3,8],[5]]=>12
[6,4,1,3,7,2,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[8,1,4,3,6,2,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[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]]=>16
[5,8,2,6,4,3,1,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[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]]=>12
[8,2,3,5,4,7,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[6,1,8,3,4,2,7,5]=>[[1,3,5,7],[2,4],[6,8]]=>18
[1,8,6,4,2,3,7,5]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[3,8,4,5,6,2,1,7]=>[[1,2,4,5,8],[3],[6],[7]]=>12
[2,4,3,5,7,8,1,6]=>[[1,2,4,5,6],[3,8],[7]]=>10
[3,8,6,5,4,2,1,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>16
[6,3,1,4,2,8,7,5]=>[[1,4,6],[2,5,7],[3,8]]=>15
[7,3,8,1,2,6,4,5]=>[[1,3,6,8],[2,5],[4,7]]=>20
[7,1,4,5,3,2,6,8]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[1,8,4,2,6,5,3,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[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]]=>16
[4,3,8,1,5,7,2,6]=>[[1,3,6],[2,5,8],[4,7]]=>21
[6,3,1,2,5,7,4,8]=>[[1,4,5,6,8],[2,7],[3]]=>10
[7,1,4,2,6,5,3,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[3,8,4,1,6,5,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[7,3,6,4,5,8,2,1]=>[[1,3,5,6],[2],[4],[7],[8]]=>20
[8,7,2,4,5,1,6,3]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[7,1,5,4,8,6,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[2,1,8,7,5,3,6,4]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[5,8,3,7,4,1,6,2]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[5,7,1,4,8,6,3,2]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[3,5,7,4,8,6,2,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[5,3,7,4,8,6,2,1]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[7,5,8,4,1,6,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>22
[2,7,8,4,5,1,6,3]=>[[1,2,3,7],[4,5],[6,8]]=>8
[5,7,3,8,4,1,6,2]=>[[1,2,4],[3,5,7],[6,8]]=>14
[5,6,3,8,1,4,7,2]=>[[1,2,4],[3,6,7],[5,8]]=>15
[3,7,8,4,1,6,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[8,7,3,1,5,4,2,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[3,6,2,1,5,4,8,7]=>[[1,2,7],[3,5,8],[4,6]]=>13
[5,4,2,6,1,3,8,7]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[3,2,6,5,1,4,8,7]=>[[1,3,7],[2,4,8],[5,6]]=>15
[2,5,8,1,7,4,3,6]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[6,8,2,7,4,3,1,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[6,8,2,3,7,5,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[7,6,2,5,4,8,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[2,6,5,1,8,4,3,7]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[4,2,7,3,1,8,5,6]=>[[1,3,6,8],[2,4,7],[5]]=>15
[4,2,3,7,1,5,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>16
[5,2,7,3,8,6,1,4]=>[[1,3,5],[2,4,6],[7,8]]=>17
[2,1,5,8,4,3,7,6]=>[[1,3,4],[2,5,7],[6,8]]=>15
[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]]=>17
[2,4,8,3,1,7,5,6]=>[[1,2,3,8],[4,6],[5,7]]=>10
[4,8,3,2,1,7,6,5]=>[[1,2],[3,6],[4,7],[5,8]]=>15
[4,1,3,7,2,6,8,5]=>[[1,3,4,7],[2,6],[5,8]]=>17
[3,4,8,2,1,6,5,7]=>[[1,2,3,8],[4,6],[5,7]]=>10
[6,8,3,7,2,1,5,4]=>[[1,2],[3,4],[5,7],[6,8]]=>14
[3,5,8,1,7,2,6,4]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[5,1,7,4,6,8,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[7,6,4,8,1,5,3,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[5,3,7,1,8,2,6,4]=>[[1,3,5],[2,6,7],[4,8]]=>17
[2,7,6,3,8,1,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[2,1,7,6,4,8,3,5]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[2,1,5,4,8,7,3,6]=>[[1,3,5],[2,4,6],[7,8]]=>17
[5,4,8,7,2,6,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>18
[2,4,3,8,7,1,5,6]=>[[1,2,4,8],[3,5],[6,7]]=>12
[3,4,1,8,6,2,7,5]=>[[1,2,4,7],[3,5,8],[6]]=>12
[3,8,5,4,2,1,7,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[4,8,6,5,2,7,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[3,2,8,7,5,4,1,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[2,8,6,5,4,3,1,7]=>[[1,2,8],[3],[4],[5],[6],[7]]=>16
[5,4,2,6,3,1,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[7,3,6,5,2,8,4,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[7,6,2,3,4,8,5,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[8,7,5,3,1,4,2,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[7,1,5,3,8,4,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[3,7,6,4,2,8,5,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[2,1,8,7,4,3,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[3,8,7,4,2,1,5,6]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[8,5,2,6,1,7,3,4]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[5,4,2,6,8,3,7,1]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[6,5,2,8,1,4,3,7]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[2,7,8,4,5,1,3,6]=>[[1,2,3,8],[4,5],[6,7]]=>7
[3,4,8,1,5,2,7,6]=>[[1,2,3,7],[4,5,8],[6]]=>7
[4,8,1,2,5,3,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>10
[8,1,2,4,3,5,6,7]=>[[1,3,4,6,7,8],[2],[5]]=>12
[5,8,7,4,6,3,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>20
[4,8,7,6,3,5,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>19
[3,8,7,6,5,2,4,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>18
[5,8,4,7,6,3,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>16
[6,8,5,4,7,3,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>20
[3,8,7,6,2,5,4,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>19
[4,8,7,6,3,2,5,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>18
[3,8,7,6,5,2,1,4]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[7,5,8,4,6,3,1,2]=>[[1,3],[2,5],[4,8],[6],[7]]=>24
[7,6,8,2,5,1,4,3]=>[[1,3],[2,5],[4,7],[6],[8]]=>25
[3,5,2,4,7,6,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>10
[3,5,4,7,2,6,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[3,5,4,7,6,1,2,8]=>[[1,2,4,8],[3,5],[6,7]]=>12
[3,5,4,7,6,1,8,2]=>[[1,2,4,7],[3,5],[6,8]]=>13
[3,5,7,4,6,1,8,2]=>[[1,2,3,7],[4,5],[6,8]]=>8
[3,5,7,4,6,1,2,8]=>[[1,2,3,8],[4,5],[6,7]]=>7
[3,5,7,4,6,2,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[3,2,5,7,4,6,1,8]=>[[1,3,4,8],[2,5,6],[7]]=>12
[3,5,2,7,6,4,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[3,5,7,2,6,4,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[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]]=>15
[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]]=>18
[3,5,7,2,6,1,4,8]=>[[1,2,3,8],[4,5],[6,7]]=>7
[3,5,2,7,6,1,4,8]=>[[1,2,4,8],[3,5],[6,7]]=>12
[5,3,7,6,4,1,8,2]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[3,7,5,4,1,8,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[3,7,5,4,1,8,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[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]]=>16
[3,5,7,1,2,6,8,4]=>[[1,2,3,7],[4,5,6],[8]]=>7
[3,5,7,2,1,6,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>11
[3,5,2,7,1,6,4,8]=>[[1,2,4,8],[3,6],[5,7]]=>15
[3,5,7,2,1,6,4,8]=>[[1,2,3,8],[4,6],[5,7]]=>10
[5,3,7,1,6,2,4,8]=>[[1,3,7,8],[2,5],[4,6]]=>18
[3,5,7,1,4,6,8,2]=>[[1,2,3,7],[4,5,6],[8]]=>7
[3,5,7,1,4,6,2,8]=>[[1,2,3,8],[4,5,6],[7]]=>6
[3,5,7,1,4,2,6,8]=>[[1,2,3,8],[4,5,7],[6]]=>8
[3,5,7,2,1,4,6,8]=>[[1,2,3,8],[4,6,7],[5]]=>9
[3,5,2,7,1,4,6,8]=>[[1,2,4,8],[3,6,7],[5]]=>14
[3,2,5,7,4,1,6,8]=>[[1,3,4,8],[2,5,7],[6]]=>14
[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]]=>10
[3,5,7,4,1,2,6,8]=>[[1,2,3,8],[4,6,7],[5]]=>9
[3,5,4,7,1,6,8,2]=>[[1,2,4,7],[3,6],[5,8]]=>16
[3,5,4,7,1,2,6,8]=>[[1,2,4,8],[3,6,7],[5]]=>14
[3,5,4,7,2,1,6,8]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[3,5,4,2,7,1,6,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[3,2,5,4,7,1,6,8]=>[[1,3,5,8],[2,4,7],[6]]=>18
[3,5,4,7,2,1,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[3,5,4,7,1,2,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>15
[5,7,6,3,1,8,4,2]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[5,7,6,3,1,8,2,4]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[3,5,7,4,1,2,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>10
[3,5,7,4,2,1,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[3,2,5,7,4,1,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>13
[3,2,5,7,1,4,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>16
[3,5,2,7,1,4,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>15
[3,5,7,2,1,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>10
[3,5,7,1,4,2,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>7
[3,7,5,2,1,8,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[3,7,2,5,1,8,6,4]=>[[1,2,6],[3,4,7],[5,8]]=>10
[3,2,7,5,1,8,6,4]=>[[1,3,6],[2,4,7],[5,8]]=>16
[3,2,7,5,1,8,4,6]=>[[1,3,6],[2,4,8],[5,7]]=>17
[3,7,2,5,1,8,4,6]=>[[1,2,6],[3,4,8],[5,7]]=>11
[3,7,5,2,1,8,4,6]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[2,1,7,5,8,4,6,3]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[5,8,3,4,1,7,6,2]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[5,8,7,2,4,1,6,3]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[3,8,6,4,1,7,5,2]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[4,3,5,6,8,1,7,2]=>[[1,3,4,5],[2,7],[6,8]]=>14
[3,7,6,4,1,8,5,2]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[3,7,4,1,8,6,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[3,8,4,1,7,6,5,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[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]]=>21
[5,7,8,2,4,1,6,3]=>[[1,2,3],[4,5,7],[6,8]]=>9
[4,2,5,8,1,6,7,3]=>[[1,3,4,7],[2,6],[5,8]]=>17
[4,2,5,8,1,7,3,6]=>[[1,3,4],[2,6,8],[5,7]]=>17
[5,8,2,4,1,6,3,7]=>[[1,2,6,8],[3,4],[5,7]]=>10
[8,4,2,6,5,1,3,7]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[3,2,6,8,1,5,4,7]=>[[1,3,4],[2,6,8],[5,7]]=>17
[8,3,2,5,6,1,4,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[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]]=>15
[3,2,6,7,1,5,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>16
[8,7,3,2,5,6,1,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[7,2,8,1,5,3,6,4]=>[[1,3,7],[2,5,8],[4,6]]=>19
[8,4,2,7,5,1,3,6]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[7,4,2,8,5,1,3,6]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[7,2,4,1,8,3,6,5]=>[[1,3,5],[2,6,7],[4,8]]=>17
[3,2,8,5,7,1,4,6]=>[[1,3,5],[2,4,8],[6,7]]=>18
[2,6,5,7,1,8,3,4]=>[[1,2,4,6],[3,7,8],[5]]=>13
[2,5,1,8,7,4,3,6]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[8,1,4,6,3,5,2,7]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[8,3,5,4,1,6,2,7]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[8,6,3,4,1,5,2,7]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[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]]=>17
[2,1,8,5,3,4,7,6]=>[[1,3,6,7],[2,4,8],[5]]=>14
[5,2,4,6,8,7,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[1,6,8,3,4,5,7,2]=>[[1,2,3,6,7],[4,5],[8]]=>7
[5,7,4,8,6,1,3,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[5,4,2,6,7,8,1,3]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[6,4,2,7,3,5,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[7,4,1,8,3,5,6,2]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[6,5,4,8,7,3,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[8,7,4,2,1,3,6,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[8,7,1,3,2,5,6,4]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[6,8,2,3,1,7,5,4]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[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]]=>13
[8,3,7,2,1,5,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[5,7,8,2,4,3,1,6]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[8,4,7,3,2,6,1,5]=>[[1,3],[2,6],[4,8],[5],[7]]=>23
[8,3,1,6,7,4,2,5]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[3,2,5,7,4,8,1,6]=>[[1,3,4,6],[2,5,8],[7]]=>15
[8,2,7,3,4,1,5,6]=>[[1,3,5,7,8],[2],[4],[6]]=>18
[7,1,6,3,5,8,2,4]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[2,8,5,6,7,1,4,3]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[1,5,2,7,8,6,4,3]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[2,6,8,5,1,4,7,3]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[1,4,2,8,6,5,7,3]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[3,5,1,6,8,7,2,4]=>[[1,2,4,5],[3,6,8],[7]]=>11
[5,7,6,2,1,3,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[2,5,8,7,4,1,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[4,1,7,5,2,6,8,3]=>[[1,3,6,7],[2,4,8],[5]]=>14
[7,6,2,4,5,1,8,3]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[7,3,4,2,5,8,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[8,7,4,2,5,1,6,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[8,1,4,5,2,6,7,3]=>[[1,3,4,6,7],[2,8],[5]]=>13
[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]]=>19
[4,2,1,5,6,7,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>9
[3,4,6,5,1,7,8,2]=>[[1,2,3,6,7],[4,8],[5]]=>7
[7,3,5,2,4,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[5,3,7,2,4,6,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[3,7,5,2,4,6,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[5,7,3,2,4,6,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[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]]=>10
[5,7,3,2,1,4,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[5,7,3,2,4,1,6,8]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[3,7,2,5,4,1,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[5,1,3,2,4,7,6,8]=>[[1,3,5,6,8],[2,7],[4]]=>15
[5,1,3,2,7,4,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>16
[7,1,3,2,5,4,6,8]=>[[1,3,5,7,8],[2,6],[4]]=>16
[1,7,3,2,5,4,6,8]=>[[1,2,5,7,8],[3,6],[4]]=>10
[7,1,3,5,2,4,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>15
[5,1,3,7,2,4,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>15
[3,2,7,5,1,4,6,8]=>[[1,3,7,8],[2,4],[5,6]]=>14
[3,7,5,1,2,4,6,8]=>[[1,2,6,7,8],[3,5],[4]]=>11
[5,7,3,1,2,4,6,8]=>[[1,2,6,7,8],[3,5],[4]]=>11
[1,5,3,7,2,4,6,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[5,3,2,7,4,1,6,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[5,3,2,4,7,1,6,8]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[5,3,2,1,4,7,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[5,3,2,1,7,4,6,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[1,3,2,7,5,4,6,8]=>[[1,2,4,7,8],[3,5],[6]]=>11
[1,3,7,2,5,4,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[7,3,1,2,5,4,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>11
[5,3,1,2,7,4,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>11
[5,3,1,2,4,7,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>10
[3,2,5,1,4,7,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>19
[7,3,1,5,2,4,6,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[1,3,7,5,2,4,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>9
[7,5,1,3,2,4,6,8]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[5,7,1,3,2,4,6,8]=>[[1,2,6,7,8],[3,4],[5]]=>7
[3,7,1,5,2,4,6,8]=>[[1,2,6,7,8],[3,4],[5]]=>7
[3,7,1,2,5,4,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>10
[3,7,2,1,5,4,6,8]=>[[1,2,7,8],[3,5],[4,6]]=>12
[3,2,1,7,5,4,6,8]=>[[1,4,7,8],[2,5],[3,6]]=>13
[3,1,2,7,5,4,6,8]=>[[1,3,4,7,8],[2,5],[6]]=>12
[3,1,7,2,5,4,6,8]=>[[1,3,5,7,8],[2,4],[6]]=>16
[3,1,7,5,2,4,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[7,1,5,3,2,4,6,8]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[1,7,5,3,2,4,6,8]=>[[1,2,6,7,8],[3],[4],[5]]=>9
[1,8,7,4,2,6,5,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[2,8,5,1,7,6,4,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[6,8,5,1,2,7,4,3]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[2,8,1,4,7,6,5,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[1,8,7,4,3,2,6,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[1,8,5,4,2,7,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[8,5,6,3,7,4,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[8,5,6,2,7,4,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[8,7,6,3,4,1,5,2]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[1,7,2,3,6,8,5,4]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[3,5,6,4,8,2,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[3,5,1,4,8,2,7,6]=>[[1,2,5],[3,4,7],[6,8]]=>13
[1,7,5,4,8,2,6,3]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[3,7,5,1,6,4,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[2,7,5,4,8,1,3,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[2,7,5,4,8,6,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[1,7,5,4,8,6,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[2,5,1,4,8,7,3,6]=>[[1,2,5],[3,4,6],[7,8]]=>11
[3,6,4,2,8,7,1,5]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[3,5,2,4,8,1,6,7]=>[[1,2,5,8],[3,4,7],[6]]=>12
[3,5,6,4,8,1,2,7]=>[[1,2,3,5],[4,7,8],[6]]=>11
[1,5,6,4,8,7,2,3]=>[[1,2,3,5],[4,6],[7,8]]=>10
[3,6,4,1,8,7,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>12
[3,6,4,5,8,7,2,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[1,6,4,3,8,5,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[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]]=>17
[7,6,1,3,5,4,8,2]=>[[1,4,5,7],[2],[3],[6],[8]]=>17
[7,1,3,2,5,8,4,6]=>[[1,3,5,6],[2,7,8],[4]]=>15
[1,6,4,2,8,5,3,7]=>[[1,2,5,8],[3,6],[4,7]]=>11
[7,6,5,8,2,4,3,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>24
[7,6,5,8,3,1,4,2]=>[[1,4],[2,7],[3,8],[5],[6]]=>20
[2,6,4,3,8,1,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[2,6,4,3,8,5,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[7,2,3,1,5,8,6,4]=>[[1,3,5,6],[2,7],[4,8]]=>16
[7,1,5,6,3,8,4,2]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[7,3,6,5,1,4,8,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[7,2,6,5,3,8,1,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[7,2,3,1,4,8,6,5]=>[[1,3,5,6],[2,7],[4,8]]=>16
[7,2,3,5,4,8,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[2,6,4,5,8,1,7,3]=>[[1,2,4,5],[3,7],[6,8]]=>13
[1,5,6,4,8,3,7,2]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[2,5,6,4,8,3,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[3,5,6,1,4,7,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>7
[7,6,1,3,4,5,8,2]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[7,1,3,2,4,8,5,6]=>[[1,3,5,6,8],[2,7],[4]]=>15
[7,6,1,5,3,4,8,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>18
[7,6,1,5,4,3,8,2]=>[[1,4,7],[2],[3],[5],[6],[8]]=>22
[1,6,4,5,8,3,2,7]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[7,6,5,8,1,3,2,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[3,4,6,8,7,2,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[3,5,6,8,2,1,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>8
[4,2,1,5,3,7,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>13
[4,2,5,6,3,1,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13
[3,5,6,8,1,7,2,4]=>[[1,2,3,4],[5,6,8],[7]]=>6
[4,1,5,6,3,2,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13
[4,5,3,1,7,2,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>11
[4,1,3,5,2,7,8,6]=>[[1,3,4,6,7],[2,8],[5]]=>13
[2,5,4,7,3,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[3,5,7,1,8,4,2,6]=>[[1,2,3,5],[4,6,8],[7]]=>10
[4,1,5,3,2,7,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>14
[4,5,3,7,1,2,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>15
[4,3,6,1,2,7,5,8]=>[[1,3,6,8],[2,5,7],[4]]=>19
[5,1,3,2,4,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>13
[3,6,1,7,4,5,2,8]=>[[1,2,4,8],[3,5,6],[7]]=>11
[5,1,3,4,2,6,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>12
[5,3,1,4,2,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[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]]=>19
[4,6,2,1,3,7,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>13
[3,6,2,1,7,4,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>11
[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]]=>16
[4,6,2,7,1,3,5,8]=>[[1,2,4,8],[3,6,7],[5]]=>14
[3,5,7,1,8,2,6,4]=>[[1,2,3,5],[4,6,7],[8]]=>9
[5,1,4,2,3,6,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>13
[3,6,1,7,2,5,8,4]=>[[1,2,4,7],[3,5,6],[8]]=>12
[2,6,5,3,4,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[3,6,1,7,5,4,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[5,1,4,3,2,6,7,8]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[5,4,1,3,2,6,7,8]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[6,2,4,5,1,8,3,7]=>[[1,3,4,6],[2,7,8],[5]]=>14
[2,1,4,8,6,3,7,5]=>[[1,3,4,7],[2,5,8],[6]]=>13
[6,4,8,2,5,3,7,1]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[8,6,2,4,7,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[4,6,8,2,3,5,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>7
[2,6,8,1,4,5,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>7
[8,4,2,6,7,3,1,5]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[7,6,4,5,1,3,8,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[1,6,7,5,3,4,8,2]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[7,6,2,3,8,4,1,5]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[1,6,7,5,8,2,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>11
[6,2,5,8,3,4,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[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]]=>8
[2,5,3,7,1,8,4,6]=>[[1,2,4,6],[3,7,8],[5]]=>13
[5,2,8,3,1,4,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>13
[4,8,2,3,6,5,7,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[5,8,1,3,6,4,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[5,8,1,4,3,6,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[5,8,4,1,3,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[6,4,5,3,8,1,7,2]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[4,6,5,3,7,1,2,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[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]]=>16
[4,3,5,7,2,1,6,8]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[3,4,7,6,8,1,2,5]=>[[1,2,3,5],[4,7,8],[6]]=>11
[3,4,6,2,5,8,7,1]=>[[1,2,3,6],[4,5,7],[8]]=>8
[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]]=>15
[1,8,2,3,6,5,7,4]=>[[1,2,4,5,7],[3],[6],[8]]=>13
[4,2,8,3,5,7,1,6]=>[[1,3,5,6],[2,4],[7,8]]=>16
[4,3,8,6,5,7,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[1,3,7,2,6,5,8,4]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[1,3,6,4,2,5,8,7]=>[[1,2,3,6,7],[4,8],[5]]=>7
[1,5,4,7,3,6,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[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]]=>17
[7,2,8,3,4,1,5,6]=>[[1,3,5,7,8],[2,4],[6]]=>16
[7,4,3,8,5,2,6,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[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]]=>21
[7,2,8,5,1,3,4,6]=>[[1,3,7,8],[2,4],[5,6]]=>14
[1,5,3,7,6,8,4,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[1,6,3,7,8,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>12
[1,4,3,7,8,5,2,6]=>[[1,2,4,5],[3,6,8],[7]]=>11
[4,2,6,5,7,8,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[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]]=>12
[3,2,6,7,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>13
[5,1,8,3,6,4,7,2]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[3,8,5,6,1,7,2,4]=>[[1,2,4,6],[3,7,8],[5]]=>13
[3,4,8,1,7,6,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[4,7,6,8,5,1,3,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[6,7,4,8,5,1,3,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[6,4,8,3,1,7,5,2]=>[[1,3],[2,6],[4,7],[5,8]]=>21
[3,6,5,8,7,1,4,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[5,7,4,8,2,6,3,1]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[5,6,4,8,2,7,3,1]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[6,5,3,8,2,7,4,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[6,4,8,1,3,7,5,2]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[7,6,3,1,4,2,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[1,5,4,3,7,8,2,6]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[7,8,4,2,5,3,1,6]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[4,2,7,8,5,3,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[4,2,5,3,1,7,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>14
[4,2,8,7,6,3,1,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[4,2,7,6,3,1,5,8]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[6,3,1,7,5,2,4,8]=>[[1,4,7,8],[2,5],[3,6]]=>13
[6,3,1,8,7,5,2,4]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[8,6,3,1,7,5,2,4]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[4,2,7,6,3,1,8,5]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[7,6,3,1,8,4,2,5]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[7,6,4,2,1,8,3,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[1,8,2,7,6,4,3,5]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[8,3,5,7,6,4,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>21
[8,4,2,5,7,6,3,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[7,5,2,4,8,6,3,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[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]]=>16
[5,2,8,6,3,7,4,1]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[8,4,7,5,2,6,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[8,3,6,4,7,5,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[1,8,2,7,5,3,6,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[7,5,2,1,8,3,6,4]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[7,5,2,6,3,1,8,4]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[5,2,7,4,1,8,6,3]=>[[1,3,6],[2,4,7],[5,8]]=>16
[5,2,8,7,4,1,6,3]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[8,7,4,1,5,2,6,3]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[7,4,1,5,2,8,6,3]=>[[1,4,6],[2,5,7],[3,8]]=>15
[7,6,3,1,4,2,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[7,5,2,8,6,3,1,4]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[8,7,5,2,6,3,1,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[7,5,2,1,3,6,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[8,7,5,2,1,3,6,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[7,5,2,1,3,8,6,4]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[1,3,7,6,5,8,2,4]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[8,6,4,7,5,2,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[6,4,8,7,5,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[6,4,7,5,2,1,3,8]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[6,3,1,4,7,5,2,8]=>[[1,4,5,8],[2,6],[3,7]]=>12
[6,3,1,4,8,7,5,2]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[8,6,3,1,4,7,5,2]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[8,5,7,6,3,1,4,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[1,8,2,5,7,6,4,3]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[1,8,2,6,4,7,5,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[7,5,2,1,6,4,8,3]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[6,3,8,7,4,1,5,2]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[6,3,7,4,1,5,2,8]=>[[1,3,6,8],[2,4],[5,7]]=>16
[7,4,1,6,3,5,2,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[7,4,1,8,6,3,5,2]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[8,4,6,3,1,7,5,2]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[6,4,7,5,2,1,8,3]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[1,6,4,7,5,3,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[8,6,3,5,2,7,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[6,3,5,2,8,7,4,1]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[6,3,5,2,7,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[1,4,7,3,5,2,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[5,7,4,2,6,3,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[4,2,6,3,5,7,1,8]=>[[1,3,5,6,8],[2,4],[7]]=>15
[2,4,5,8,1,6,7,3]=>[[1,2,3,4,7],[5,6],[8]]=>6
[6,1,3,7,4,2,5,8]=>[[1,3,4,7,8],[2,5],[6]]=>12
[3,2,6,8,1,5,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>16
[8,2,6,1,5,4,7,3]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,6,2,7,1,5,4,3]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[7,6,8,3,1,5,4,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>22
[6,3,7,2,8,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[7,5,2,8,6,1,4,3]=>[[1,4],[2,5],[3,7],[6,8]]=>19
[2,7,3,8,1,5,6,4]=>[[1,2,4,7],[3,6],[5,8]]=>16
[1,6,8,5,2,4,3,7]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[4,5,7,2,8,1,6,3]=>[[1,2,3,5],[4,7],[6,8]]=>12
[8,4,6,5,3,1,7,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[4,5,3,1,7,2,6,8]=>[[1,2,5,8],[3,6,7],[4]]=>10
[7,8,1,2,4,3,6,5]=>[[1,2,5,7],[3,4],[6,8]]=>12
[8,4,1,6,2,3,7,5]=>[[1,4,6,7],[2,5,8],[3]]=>13
[6,1,3,4,2,8,5,7]=>[[1,3,4,6,8],[2,7],[5]]=>14
[8,1,4,3,5,7,6,2]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[5,2,4,1,3,7,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>18
[1,7,4,3,6,8,2,5]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[8,7,1,3,6,5,4,2]=>[[1,4,5],[2],[3],[6],[7],[8]]=>20
[1,8,5,7,4,2,6,3]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[4,7,5,3,8,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[8,1,5,4,7,2,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[6,3,5,8,7,4,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[1,4,8,7,3,5,6,2]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[8,1,7,6,3,5,4,2]=>[[1,3,6],[2],[4],[5],[7],[8]]=>24
[3,6,8,5,7,4,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[4,7,6,8,5,3,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[3,8,7,5,6,4,2,1]=>[[1,2,5],[3],[4],[6],[7],[8]]=>19
[2,8,7,6,4,5,3,1]=>[[1,2,6],[3],[4],[5],[7],[8]]=>18
[1,8,7,6,5,3,4,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>17
[4,6,7,2,5,3,1,8]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[2,4,7,8,1,6,5,3]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[4,2,6,8,7,1,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[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]]=>17
[2,6,8,4,1,7,5,3]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[4,6,7,1,2,8,5,3]=>[[1,2,3,6],[4,5,7],[8]]=>8
[3,6,1,8,2,7,5,4]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[5,7,4,1,2,8,6,3]=>[[1,2,6],[3,5,7],[4,8]]=>14
[6,3,7,1,2,8,5,4]=>[[1,3,6],[2,5,7],[4,8]]=>20
[1,7,8,5,4,3,2,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[1,2,6,7,8,4,3,5]=>[[1,2,3,4,5],[6,8],[7]]=>5
[8,1,4,6,7,3,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[4,7,1,3,6,8,2,5]=>[[1,2,5,6],[3,4],[7,8]]=>10
[3,7,6,4,8,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[3,7,5,4,2,1,8,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[1,3,6,7,4,2,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>6
[3,6,4,8,2,7,5,1]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[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]]=>20
[1,7,8,2,6,4,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[8,7,2,5,4,6,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[8,7,3,2,1,5,6,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[3,7,8,2,1,6,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[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]]=>9
[1,8,2,3,6,5,4,7]=>[[1,2,4,5,8],[3],[6],[7]]=>12
[3,5,8,4,7,2,6,1]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[1,8,5,4,6,2,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[3,8,5,4,6,1,2,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[3,8,5,1,6,4,2,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[2,8,5,4,6,1,3,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[2,8,5,4,6,3,1,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>15
[1,8,5,4,6,3,2,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>15
[2,5,8,4,7,3,6,1]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[3,6,4,2,7,8,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[3,5,4,1,6,2,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>10
[4,5,8,1,7,6,2,3]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[3,5,8,4,7,1,6,2]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[1,5,8,4,7,3,6,2]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[3,6,4,1,7,8,5,2]=>[[1,2,5,6],[3,7],[4,8]]=>10
[3,6,4,8,7,5,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[1,6,4,3,7,8,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[7,1,3,4,8,6,5,2]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[7,6,1,3,8,4,2,5]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[1,6,4,2,7,8,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>9
[2,6,4,3,7,1,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[2,6,4,1,7,8,3,5]=>[[1,2,5,6],[3,7,8],[4]]=>9
[7,2,3,4,8,6,5,1]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[7,2,3,1,8,6,4,5]=>[[1,3,5,8],[2,6],[4,7]]=>17
[7,2,3,4,1,6,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>13
[1,2,4,3,8,5,7,6]=>[[1,2,3,5,7],[4,6],[8]]=>10
[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]]=>17
[7,2,3,1,5,6,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>14
[7,2,3,8,1,6,5,4]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[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]]=>14
[1,5,8,4,7,6,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[3,5,8,1,6,7,2,4]=>[[1,2,3,6],[4,5,8],[7]]=>9
[7,6,1,3,5,8,2,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[7,1,3,2,5,6,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>14
[7,1,3,8,2,6,5,4]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[7,6,1,8,5,4,2,3]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[3,2,6,5,8,4,7,1]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[4,3,7,1,6,5,8,2]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[5,2,6,4,8,3,7,1]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[4,3,7,5,8,2,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[5,3,7,4,8,2,6,1]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[5,3,7,4,8,1,6,2]=>[[1,3,5],[2,4,7],[6,8]]=>19
[4,3,7,1,5,2,8,6]=>[[1,3,7],[2,5,8],[4,6]]=>19
[5,4,8,2,6,3,7,1]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[5,4,8,1,6,3,7,2]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[4,1,7,5,2,3,6,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[4,1,7,8,6,3,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[6,8,3,2,1,4,7,5]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[7,2,4,1,6,5,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[7,5,8,4,3,1,6,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[6,8,2,4,1,3,7,5]=>[[1,2,7],[3,4,8],[5,6]]=>9
[2,8,4,7,6,3,5,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[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]]=>17
[4,5,2,6,8,3,7,1]=>[[1,2,4,5],[3,6,7],[8]]=>10
[4,8,3,2,5,7,6,1]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[6,8,5,3,4,7,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[6,8,4,1,5,3,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[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]]=>12
[6,8,3,5,1,4,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[6,8,5,4,2,3,7,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[5,8,2,4,3,7,6,1]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[8,1,3,4,2,6,5,7]=>[[1,3,4,6,8],[2,7],[5]]=>14
[8,1,3,2,5,6,4,7]=>[[1,3,5,6,8],[2,7],[4]]=>15
[8,1,2,4,5,3,7,6]=>[[1,3,4,5,7],[2,8],[6]]=>12
[6,5,3,8,4,2,7,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[7,4,5,1,6,2,8,3]=>[[1,3,5,7],[2,6,8],[4]]=>17
[4,7,3,5,6,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[6,7,8,4,1,3,5,2]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[3,1,6,8,4,7,5,2]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[8,3,6,1,5,7,4,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[3,2,7,5,8,6,1,4]=>[[1,3,5],[2,4,6],[7,8]]=>17
[2,5,4,7,8,1,6,3]=>[[1,2,4,5],[3,7],[6,8]]=>13
[2,4,6,7,8,1,5,3]=>[[1,2,3,4,5],[6,7],[8]]=>4
[2,4,6,8,1,7,5,3]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[7,4,3,8,6,2,1,5]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[2,4,7,8,3,5,6,1]=>[[1,2,3,4],[5,6,7],[8]]=>5
[3,2,7,6,1,8,4,5]=>[[1,3,6],[2,4,8],[5,7]]=>17
[3,2,6,8,1,7,4,5]=>[[1,3,4],[2,6,8],[5,7]]=>17
[4,3,6,2,1,8,5,7]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[4,6,2,3,7,5,8,1]=>[[1,2,5,7],[3,4,6],[8]]=>11
[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]]=>19
[5,8,3,4,2,1,7,6]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[6,8,4,2,3,7,5,1]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[6,4,8,3,2,7,1,5]=>[[1,3],[2,6],[4,8],[5],[7]]=>23
[5,8,3,7,2,1,6,4]=>[[1,2],[3,4],[5,7],[6,8]]=>14
[2,5,6,4,7,1,8,3]=>[[1,2,3,5,7],[4,8],[6]]=>10
[6,4,7,3,8,2,1,5]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[6,7,4,3,2,1,8,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[8,4,3,7,2,1,5,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[1,2,6,5,8,7,3,4]=>[[1,2,3,5],[4,6],[7,8]]=>10
[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]]=>13
[5,1,2,8,3,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>13
[5,6,3,4,8,7,2,1]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[6,5,3,4,8,7,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[4,1,2,8,3,6,7,5]=>[[1,3,4,6,7],[2,5],[8]]=>13
[4,1,2,7,3,6,8,5]=>[[1,3,4,6,7],[2,5],[8]]=>13
[7,5,3,8,4,6,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[8,5,3,7,4,6,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[5,8,1,2,3,4,7,6]=>[[1,2,5,6,7],[3,4],[8]]=>8
[7,1,2,8,3,6,4,5]=>[[1,3,4,6,8],[2,5],[7]]=>14
[6,1,8,2,3,5,7,4]=>[[1,3,5,6,7],[2,4],[8]]=>14
[6,1,7,2,3,5,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>14
[1,6,8,2,4,5,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>7
[4,3,8,7,5,6,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[1,8,2,7,4,6,5,3]=>[[1,2,4,6],[3],[5],[7],[8]]=>18
[7,1,6,2,3,5,8,4]=>[[1,3,5,6,7],[2],[4],[8]]=>16
[8,1,6,2,3,5,7,4]=>[[1,3,5,6,7],[2],[4],[8]]=>16
[8,1,7,2,3,5,6,4]=>[[1,3,5,6,7],[2],[4],[8]]=>16
[5,8,3,7,4,6,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[6,8,7,3,4,5,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[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]]=>11
[8,6,1,2,3,4,7,5]=>[[1,4,5,6,7],[2,8],[3]]=>9
[8,1,6,2,3,5,4,7]=>[[1,3,5,6,8],[2],[4],[7]]=>17
[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]]=>17
[1,8,3,5,7,2,6,4]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[2,3,4,6,8,5,7,1]=>[[1,2,3,4,5],[6,7],[8]]=>4
[2,3,5,7,4,8,6,1]=>[[1,2,3,4,6],[5,7],[8]]=>7
[2,4,6,3,7,8,5,1]=>[[1,2,3,5,6],[4,7],[8]]=>8
[2,5,7,1,8,6,3,4]=>[[1,2,3,5],[4,6,8],[7]]=>10
[2,6,7,1,8,4,5,3]=>[[1,2,3,5],[4,6,7],[8]]=>9
[5,8,3,1,4,2,6,7]=>[[1,2,7,8],[3,5],[4,6]]=>12
[3,8,4,2,6,7,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[2,4,1,8,5,6,3,7]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,6,2,7,8,5,3,4]=>[[1,2,4,5],[3,6,8],[7]]=>11
[3,5,2,6,7,8,4,1]=>[[1,2,4,5,6],[3,7],[8]]=>9
[4,5,1,6,7,3,8,2]=>[[1,2,4,5,7],[3,6],[8]]=>11
[2,8,4,1,7,5,3,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[8,5,3,1,7,4,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[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]]=>18
[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]]=>19
[6,7,1,2,3,5,8,4]=>[[1,2,5,6,7],[3,4],[8]]=>8
[3,1,6,7,8,4,2,5]=>[[1,3,4,5],[2,6,8],[7]]=>12
[3,1,4,8,5,6,2,7]=>[[1,3,4,6,8],[2,5],[7]]=>14
[8,3,1,4,5,7,2,6]=>[[1,4,5,6],[2,7,8],[3]]=>10
[8,6,2,3,5,1,4,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[8,2,4,5,7,3,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[2,6,3,8,7,5,4,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[8,2,3,7,5,4,1,6]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[8,2,6,3,5,4,1,7]=>[[1,3,5,8],[2],[4],[6],[7]]=>21
[8,6,1,5,2,4,3,7]=>[[1,4,6,8],[2],[3],[5],[7]]=>19
[8,6,2,4,1,5,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[8,4,1,6,5,3,2,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[8,3,6,1,5,4,2,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[8,3,2,6,5,4,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[8,3,2,5,7,4,1,6]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[8,3,1,7,5,4,2,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[8,2,7,4,1,5,3,6]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[6,1,3,8,7,5,4,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[3,6,1,8,7,5,4,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[3,8,1,5,7,6,4,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[3,5,2,8,7,6,4,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[3,4,8,2,7,6,5,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[3,4,8,7,1,6,5,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[8,1,3,5,7,6,4,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[4,1,8,5,7,6,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[8,2,7,1,4,5,6,3]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[8,1,7,3,4,6,2,5]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[8,3,1,7,2,6,5,4]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[3,8,2,4,7,6,5,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[2,8,3,7,4,6,5,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>18
[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]]=>24
[8,1,7,2,6,4,3,5]=>[[1,3,5,8],[2],[4],[6],[7]]=>21
[8,1,7,5,2,4,3,6]=>[[1,3,6,8],[2],[4],[5],[7]]=>20
[8,2,3,7,4,6,1,5]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[2,4,8,5,7,6,3,1]=>[[1,2,3,5],[4],[6],[7],[8]]=>14
[8,2,4,3,7,6,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[8,2,7,3,5,1,4,6]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[8,2,7,4,3,1,5,6]=>[[1,3,7,8],[2],[4],[5],[6]]=>18
[8,2,7,3,1,5,6,4]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[8,2,1,5,7,6,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[6,2,1,8,7,5,4,3]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[6,1,8,2,7,5,4,3]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[8,1,7,3,5,2,6,4]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,1,5,2,7,6,4,3]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[8,1,7,2,4,6,5,3]=>[[1,3,5,6],[2],[4],[7],[8]]=>20
[8,2,4,1,7,6,5,3]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[4,2,8,3,7,6,5,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[4,8,2,1,7,6,5,3]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[5,1,8,7,2,6,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[5,8,1,3,7,6,2,4]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[8,2,5,4,1,7,6,3]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[5,1,4,8,7,6,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[8,1,4,3,7,6,5,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[4,8,1,3,7,6,5,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[4,3,8,1,7,6,5,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[5,8,6,3,2,1,7,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[5,7,6,3,2,4,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[6,5,7,2,4,3,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[5,7,1,3,2,8,6,4]=>[[1,2,6],[3,4,7],[5,8]]=>10
[5,8,1,3,2,7,4,6]=>[[1,2,6,8],[3,4],[5,7]]=>10
[8,5,1,3,2,4,6,7]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[7,5,8,2,1,4,3,6]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[6,7,1,2,5,4,8,3]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[6,8,1,2,5,7,4,3]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[8,1,6,4,2,3,5,7]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[1,5,4,8,2,3,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>16
[1,7,8,2,3,5,6,4]=>[[1,2,3,6,7],[4,5],[8]]=>7
[7,5,8,2,3,1,4,6]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[7,4,1,2,6,8,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>10
[6,2,8,1,5,7,3,4]=>[[1,3,6],[2,5,8],[4,7]]=>21
[7,3,5,4,2,1,8,6]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[7,3,2,8,5,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[1,7,4,3,6,8,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[4,7,6,5,2,3,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[4,7,6,5,1,3,8,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[6,7,4,2,1,8,5,3]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[1,7,6,3,2,8,4,5]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[6,5,8,1,7,3,4,2]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[6,5,8,2,3,7,4,1]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[4,1,2,8,5,3,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>12
[3,5,8,2,6,1,7,4]=>[[1,2,3,7],[4,5],[6,8]]=>8
[3,7,6,1,5,2,8,4]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[1,7,6,2,5,8,4,3]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[1,7,6,5,8,4,2,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[3,7,6,2,8,4,5,1]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[4,3,6,8,5,1,2,7]=>[[1,3,4],[2,5,8],[6,7]]=>14
[2,7,1,5,8,4,3,6]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[2,7,6,1,8,4,3,5]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[7,1,2,6,3,5,4,8]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[7,2,6,3,4,5,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>17
[6,7,8,4,2,5,3,1]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[6,1,2,5,7,8,4,3]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[4,1,2,7,8,5,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>12
[4,7,3,1,2,6,8,5]=>[[1,2,6,7],[3,5],[4,8]]=>13
[3,7,6,1,5,8,2,4]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[3,8,5,6,4,2,7,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>17
[3,2,6,4,7,8,5,1]=>[[1,3,5,6],[2,4,7],[8]]=>15
[4,2,7,5,8,3,1,6]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[4,2,7,1,3,8,6,5]=>[[1,3,6],[2,5,7],[4,8]]=>20
[5,2,1,4,7,8,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>10
[5,6,2,7,3,4,8,1]=>[[1,2,4,7],[3,5,6],[8]]=>12
[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]]=>15
[2,7,6,8,5,3,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[1,5,8,6,4,2,3,7]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[2,5,8,6,4,1,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[1,6,2,3,5,8,7,4]=>[[1,2,4,5,6],[3,7],[8]]=>9
[4,7,2,3,1,6,8,5]=>[[1,2,6,7],[3,4],[5,8]]=>9
[6,7,3,1,5,4,8,2]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[7,4,6,2,8,3,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[7,3,5,1,4,8,2,6]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[3,4,6,5,1,2,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>9
[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]]=>22
[4,3,8,2,5,7,1,6]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[5,1,8,6,4,7,2,3]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[6,7,2,3,1,5,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>9
[7,5,2,3,8,1,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[7,5,2,3,8,4,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[4,5,1,7,6,3,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[8,1,7,5,2,3,4,6]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[8,6,3,1,4,2,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[4,5,1,6,2,8,7,3]=>[[1,2,4,6],[3,5,7],[8]]=>13
[4,8,3,6,1,7,2,5]=>[[1,2,6],[3,4,8],[5,7]]=>11
[6,2,7,8,3,4,5,1]=>[[1,3,4,7],[2,5,6],[8]]=>13
[1,2,4,6,8,5,7,3]=>[[1,2,3,4,5],[6,7],[8]]=>4
[2,1,7,5,8,6,3,4]=>[[1,3,5],[2,4,6],[7,8]]=>17
[4,7,3,8,6,5,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[3,8,7,4,6,5,1,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[7,3,8,4,6,5,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[7,4,3,6,5,8,1,2]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[4,5,8,7,2,6,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[3,8,6,7,5,1,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[4,2,7,6,5,8,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[4,6,7,8,5,2,3,1]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[4,5,3,8,2,7,6,1]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[3,8,5,4,1,7,6,2]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[6,4,7,2,5,8,3,1]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[6,3,8,7,5,1,4,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[5,3,6,4,1,2,8,7]=>[[1,3,7],[2,4,8],[5,6]]=>15
[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]]=>16
[4,2,5,1,7,8,3,6]=>[[1,3,5,6],[2,7,8],[4]]=>15
[2,5,4,1,3,8,6,7]=>[[1,2,6,8],[3,5,7],[4]]=>13
[1,4,5,3,8,2,6,7]=>[[1,2,3,5,8],[4,7],[6]]=>11
[5,1,8,2,4,3,6,7]=>[[1,3,5,7,8],[2,4],[6]]=>16
[1,5,4,8,2,3,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>14
[4,8,3,1,6,7,2,5]=>[[1,2,6],[3,5,8],[4,7]]=>15
[3,4,8,2,6,5,7,1]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[3,6,2,4,8,7,1,5]=>[[1,2,5],[3,4,6],[7,8]]=>11
[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]]=>13
[3,6,7,2,5,8,1,4]=>[[1,2,3,6],[4,5],[7,8]]=>9
[1,5,6,8,3,7,2,4]=>[[1,2,3,4],[5,6],[7,8]]=>6
[6,1,5,8,3,4,7,2]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[5,6,8,1,3,4,7,2]=>[[1,2,3,7],[4,5,6],[8]]=>7
[2,8,5,6,3,4,7,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[6,8,1,3,5,4,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[8,1,6,3,5,4,7,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[7,1,2,5,8,4,6,3]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[6,2,4,8,1,7,3,5]=>[[1,3,4],[2,6,8],[5,7]]=>17
[3,1,7,8,5,4,6,2]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[1,6,2,7,4,8,5,3]=>[[1,2,4,6],[3,5,7],[8]]=>13
[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]]=>12
[2,7,5,6,8,1,3,4]=>[[1,2,4,5],[3,7,8],[6]]=>12
[6,7,2,8,1,3,4,5]=>[[1,2,4,8],[3,6,7],[5]]=>14
[5,1,6,8,7,2,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>14
[1,5,7,6,8,2,3,4]=>[[1,2,3,5],[4,7,8],[6]]=>11
[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]]=>15
[4,7,5,8,6,3,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[1,6,8,3,2,5,4,7]=>[[1,2,3,8],[4,6],[5,7]]=>10
[2,6,8,1,5,4,7,3]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[1,5,4,7,6,2,8,3]=>[[1,2,4,7],[3,5],[6,8]]=>13
[2,3,7,6,5,1,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[6,1,5,8,3,2,7,4]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[3,1,2,4,8,5,7,6]=>[[1,3,4,5,7],[2,6],[8]]=>12
[2,5,8,4,6,3,1,7]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[7,1,5,4,8,3,2,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[6,4,1,7,5,3,2,8]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[2,7,6,4,8,1,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[7,2,5,4,8,1,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[1,7,2,5,3,8,6,4]=>[[1,2,4,6],[3,7],[5,8]]=>14
[7,2,3,8,6,1,5,4]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[7,3,2,5,8,1,6,4]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[5,3,8,4,1,2,6,7]=>[[1,3,7,8],[2,4],[5,6]]=>14
[2,4,8,3,7,1,5,6]=>[[1,2,3,8],[4,5],[6,7]]=>7
[5,2,8,4,1,6,3,7]=>[[1,3,6,8],[2,4],[5,7]]=>16
[7,6,5,2,1,8,4,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[2,7,5,1,8,3,6,4]=>[[1,2,5],[3,6,7],[4,8]]=>11
[5,1,8,7,4,3,6,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[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]]=>8
[4,2,7,6,3,5,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[8,4,7,6,3,5,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>23
[8,1,7,4,2,3,5,6]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[6,5,1,3,8,7,4,2]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[4,7,8,3,2,5,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[6,1,8,5,3,7,2,4]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[5,1,6,8,3,7,4,2]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[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]]=>14
[8,2,3,7,1,4,5,6]=>[[1,3,4,7,8],[2,6],[5]]=>15
[2,8,3,7,1,4,5,6]=>[[1,2,4,7,8],[3,6],[5]]=>14
[5,6,2,7,4,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[8,6,2,7,4,1,3,5]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[3,7,8,5,2,1,4,6]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[6,8,4,7,3,1,5,2]=>[[1,2],[3,4],[5,7],[6,8]]=>14
[4,8,6,5,1,2,7,3]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[4,8,6,5,1,2,3,7]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[3,4,5,1,7,6,8,2]=>[[1,2,3,5,7],[4,6],[8]]=>10
[3,8,7,6,5,1,2,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[8,4,6,7,1,2,5,3]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[5,7,2,6,1,8,4,3]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[5,7,2,6,1,3,8,4]=>[[1,2,7],[3,4,8],[5,6]]=>9
[5,8,2,6,1,4,7,3]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[3,8,7,5,6,1,4,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[6,8,4,7,2,1,5,3]=>[[1,2],[3,4],[5,7],[6,8]]=>14
[7,4,6,5,1,3,8,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[1,7,3,4,5,2,8,6]=>[[1,2,4,5,7],[3,8],[6]]=>11
[4,8,2,1,3,5,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>11
[1,7,2,5,4,3,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[2,6,7,3,4,8,1,5]=>[[1,2,3,6],[4,5,8],[7]]=>9
[2,1,5,7,4,3,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>13
[4,1,8,7,5,6,2,3]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[1,5,8,7,4,3,6,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[6,4,1,3,8,7,5,2]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[2,1,7,4,6,8,3,5]=>[[1,3,5,6],[2,4,8],[7]]=>16
[1,7,2,4,6,8,3,5]=>[[1,2,4,5,6],[3,8],[7]]=>10
[8,6,4,2,7,3,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[7,4,6,1,2,3,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>18
[1,8,6,2,7,3,5,4]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[1,7,8,6,2,3,5,4]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[2,1,8,3,5,7,6,4]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[3,5,8,1,7,6,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[2,8,1,3,6,7,5,4]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[7,2,4,8,6,1,5,3]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[5,8,4,3,1,6,7,2]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[6,3,7,2,5,4,8,1]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[5,4,7,3,2,6,8,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[5,7,2,6,3,4,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[3,7,5,4,6,2,8,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>16
[6,8,3,2,1,7,4,5]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[4,8,1,7,5,3,2,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[5,4,3,7,2,8,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[3,6,5,7,2,8,4,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[4,6,5,3,8,2,1,7]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[2,6,5,8,7,3,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[6,3,8,4,1,7,2,5]=>[[1,3,6],[2,4,8],[5,7]]=>17
[7,2,8,1,6,4,3,5]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[8,2,6,4,3,5,1,7]=>[[1,3,6,8],[2],[4],[5],[7]]=>20
[5,4,2,8,6,3,7,1]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[2,8,7,5,3,1,4,6]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[2,5,6,3,1,4,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>10
[2,4,7,8,5,3,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[6,5,3,2,4,1,8,7]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[6,5,8,7,3,2,4,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[2,1,4,7,8,5,3,6]=>[[1,3,4,5],[2,6,8],[7]]=>12
[8,5,6,7,3,1,4,2]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[8,7,5,3,2,6,4,1]=>[[1,6],[2,7],[3],[4],[5],[8]]=>19
[8,5,3,1,4,6,7,2]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[8,5,1,6,4,3,7,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[6,1,4,3,7,8,2,5]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[6,1,2,7,5,8,3,4]=>[[1,3,4,6],[2,5,8],[7]]=>15
[2,7,3,1,4,6,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>8
[2,8,3,1,6,5,7,4]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[3,8,5,6,7,1,2,4]=>[[1,2,4,5],[3,7,8],[6]]=>12
[2,5,8,1,4,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>7
[2,1,8,7,5,4,6,3]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[7,8,3,4,1,6,5,2]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[8,7,3,4,2,6,5,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[8,4,5,2,3,7,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[4,7,2,8,6,3,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[4,7,5,2,3,8,1,6]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[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]]=>14
[6,5,2,3,7,8,4,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[7,2,6,3,1,5,8,4]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[4,6,3,8,7,5,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[2,8,4,1,5,7,6,3]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[1,8,4,2,5,7,6,3]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[2,8,5,4,1,7,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[2,5,8,3,7,1,6,4]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[1,8,5,2,4,7,6,3]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[1,4,6,2,8,7,5,3]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[7,8,2,4,1,6,5,3]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[2,4,6,1,8,7,5,3]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[2,8,4,5,1,7,6,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[3,5,8,2,7,6,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[2,1,6,8,7,5,3,4]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[1,8,2,4,5,7,6,3]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[1,2,8,3,5,7,6,4]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[1,3,8,2,5,7,6,4]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[2,3,8,1,5,7,6,4]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[2,6,1,8,7,5,3,4]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[1,6,2,8,7,5,3,4]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[1,6,3,8,7,5,2,4]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[2,6,3,8,7,5,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[3,2,8,1,5,7,6,4]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[3,1,8,2,5,7,6,4]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[2,8,1,4,5,7,6,3]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[7,8,2,1,4,6,5,3]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[2,3,6,8,7,5,1,4]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[3,1,6,8,7,2,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[3,8,4,5,1,6,2,7]=>[[1,2,4,6,8],[3,7],[5]]=>13
[6,1,4,5,7,2,3,8]=>[[1,3,4,5,8],[2,7],[6]]=>13
[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]]=>17
[5,3,8,6,2,7,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[8,3,6,1,5,7,2,4]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[8,4,6,3,1,2,5,7]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[6,8,1,4,5,2,3,7]=>[[1,2,5,8],[3,4],[6,7]]=>11
[1,5,8,4,6,2,3,7]=>[[1,2,3,8],[4,5],[6,7]]=>7
[2,1,6,5,3,8,4,7]=>[[1,3,6,8],[2,4,7],[5]]=>15
[5,6,8,1,4,2,3,7]=>[[1,2,3,8],[4,5,7],[6]]=>8
[5,7,4,8,1,2,3,6]=>[[1,2,4,8],[3,6,7],[5]]=>14
[8,2,1,5,3,7,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>14
[4,7,8,1,2,6,3,5]=>[[1,2,3,8],[4,5,6],[7]]=>6
[8,7,1,5,6,2,3,4]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[1,6,5,8,7,2,3,4]=>[[1,2,4,8],[3,5],[6,7]]=>12
[3,7,1,6,2,4,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>8
[5,1,2,7,6,8,3,4]=>[[1,3,4,6],[2,5,8],[7]]=>15
[6,1,7,2,5,8,3,4]=>[[1,3,5,6],[2,4,8],[7]]=>16
[1,7,6,5,8,2,3,4]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[1,6,8,5,7,2,3,4]=>[[1,2,3,8],[4,5],[6,7]]=>7
[7,5,1,2,6,8,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>10
[6,1,5,2,7,8,3,4]=>[[1,3,5,6],[2,7,8],[4]]=>15
[1,6,3,8,7,2,4,5]=>[[1,2,4,8],[3,5],[6,7]]=>12
[1,7,3,2,4,6,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>8
[8,3,1,4,2,5,7,6]=>[[1,4,6,7],[2,5,8],[3]]=>13
[3,1,2,7,8,4,6,5]=>[[1,3,4,5],[2,6,7],[8]]=>11
[5,1,2,6,8,7,3,4]=>[[1,3,4,5],[2,6,8],[7]]=>12
[1,8,6,2,5,7,3,4]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[5,7,8,1,2,6,3,4]=>[[1,2,3,8],[4,5,6],[7]]=>6
[8,1,5,7,6,2,3,4]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[7,1,6,8,5,2,3,4]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[3,7,1,2,8,4,6,5]=>[[1,2,5,7],[3,4,6],[8]]=>11
[8,3,1,2,7,6,4,5]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[1,5,8,7,6,2,3,4]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[7,8,6,1,5,2,3,4]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[7,8,6,3,1,5,2,4]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[7,8,1,3,4,5,2,6]=>[[1,2,5,6,8],[3,4],[7]]=>9
[1,7,4,8,2,5,3,6]=>[[1,2,4,8],[3,6],[5,7]]=>15
[3,8,6,1,4,2,7,5]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[7,1,8,2,4,6,3,5]=>[[1,3,5,6],[2,4],[7,8]]=>16
[7,6,8,4,1,5,3,2]=>[[1,3],[2,6],[4,7],[5],[8]]=>22
[7,3,2,8,1,5,4,6]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[3,5,4,1,7,2,6,8]=>[[1,2,5,8],[3,6,7],[4]]=>10
[6,4,7,3,2,5,1,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[7,6,5,3,8,4,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[6,4,5,7,8,1,3,2]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[3,7,4,1,6,8,5,2]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[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]]=>16
[6,1,8,3,5,4,2,7]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[3,8,5,2,4,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[1,6,4,8,3,5,2,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[1,5,4,8,6,3,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[4,8,2,5,3,7,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[3,8,4,5,2,6,7,1]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[4,1,8,6,5,3,7,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[5,7,8,4,6,3,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[5,3,2,8,6,4,7,1]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[6,8,1,2,7,4,3,5]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[5,8,7,3,6,2,4,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>19
[7,5,2,3,4,8,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[7,3,5,4,2,8,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[5,6,1,3,2,4,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>7
[2,5,1,3,7,8,6,4]=>[[1,2,5,6],[3,4,7],[8]]=>9
[4,3,7,2,1,8,6,5]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[4,6,7,2,1,3,5,8]=>[[1,2,3,8],[4,6,7],[5]]=>9
[4,6,2,3,1,5,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>7
[3,6,4,2,5,1,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>12
[3,1,6,4,7,5,2,8]=>[[1,3,5,8],[2,4,6],[7]]=>16
[3,6,2,7,5,4,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[2,4,7,5,3,6,1,8]=>[[1,2,3,6,8],[4],[5],[7]]=>10
[2,5,7,3,4,1,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[2,3,5,8,6,4,7,1]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[2,4,7,3,8,6,5,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[3,4,2,7,5,8,6,1]=>[[1,2,4,6],[3,5,7],[8]]=>13
[3,1,5,4,7,8,6,2]=>[[1,3,5,6],[2,4,7],[8]]=>15
[4,5,7,2,3,1,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>7
[3,7,8,1,4,6,5,2]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[2,5,8,7,4,1,3,6]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[2,6,4,7,5,3,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[6,2,4,7,1,3,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>16
[7,3,5,1,4,2,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[5,4,7,1,3,2,8,6]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[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]]=>14
[8,7,1,4,3,5,6,2]=>[[1,4,6,7],[2],[3],[5],[8]]=>18
[6,1,8,4,7,3,2,5]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[4,7,3,6,1,2,8,5]=>[[1,2,7],[3,4,8],[5,6]]=>9
[5,2,1,7,4,3,8,6]=>[[1,4,7],[2,5,8],[3,6]]=>14
[4,7,6,2,3,1,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[7,6,8,2,5,3,4,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[2,3,6,1,8,7,5,4]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[2,6,8,7,5,3,1,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[6,4,1,7,5,2,8,3]=>[[1,4,7],[2,5,8],[3,6]]=>14
[5,7,8,2,3,6,1,4]=>[[1,2,3],[4,5,6],[7,8]]=>7
[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]]=>10
[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]]=>17
[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]]=>11
[2,6,7,5,3,4,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[2,6,4,5,7,3,8,1]=>[[1,2,4,5,7],[3],[6],[8]]=>13
[6,1,4,5,8,3,7,2]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[6,1,8,5,3,4,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[4,1,5,6,8,3,7,2]=>[[1,3,4,5],[2,6,7],[8]]=>11
[6,4,1,8,7,2,5,3]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[1,3,8,5,2,7,4,6]=>[[1,2,3,6],[4,7,8],[5]]=>8
[1,3,8,6,7,2,4,5]=>[[1,2,3,5],[4,7,8],[6]]=>11
[2,8,3,7,6,1,4,5]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[4,2,7,8,6,1,3,5]=>[[1,3,4],[2,5,8],[6,7]]=>14
[1,3,8,7,6,2,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[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]]=>13
[4,5,6,8,1,2,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>5
[3,5,8,6,1,2,7,4]=>[[1,2,3,7],[4,6,8],[5]]=>10
[4,2,6,8,7,1,3,5]=>[[1,3,4],[2,5,8],[6,7]]=>14
[1,4,6,8,7,2,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>7
[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]]=>11
[1,6,5,7,8,2,3,4]=>[[1,2,4,5],[3,7,8],[6]]=>12
[6,5,4,8,1,3,7,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[7,6,4,8,5,1,3,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[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]]=>16
[2,5,7,4,6,1,3,8]=>[[1,2,3,8],[4,5],[6,7]]=>7
[6,1,7,4,5,3,8,2]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[8,2,7,3,1,5,4,6]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[2,6,4,8,3,1,7,5]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[8,1,3,7,5,6,4,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[1,2,5,3,8,6,7,4]=>[[1,2,3,5,7],[4,6],[8]]=>10
[4,1,6,5,7,8,2,3]=>[[1,3,5,6],[2,4,8],[7]]=>16
[6,1,3,7,4,2,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13
[6,7,2,4,1,3,8,5]=>[[1,2,7],[3,4,8],[5,6]]=>9
[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]]=>20
[1,3,8,2,5,6,7,4]=>[[1,2,3,6,7],[4,5],[8]]=>7
[1,8,6,7,2,5,4,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[7,6,8,3,5,4,2,1]=>[[1,3],[2,5],[4],[6],[7],[8]]=>26
[1,6,7,3,8,5,4,2]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[8,7,2,4,6,1,5,3]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[7,8,6,5,2,4,3,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>19
[3,6,7,5,2,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[5,4,6,7,8,1,3,2]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[5,3,6,7,8,1,4,2]=>[[1,3,4,5],[2,7],[6,8]]=>14
[5,3,7,6,8,4,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[7,5,3,2,8,6,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>17
[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]]=>18
[4,5,7,3,6,2,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[4,5,6,3,8,2,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[5,4,8,7,2,1,3,6]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[2,5,4,7,8,1,3,6]=>[[1,2,4,5],[3,7,8],[6]]=>12
[5,3,6,4,8,2,7,1]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[5,3,7,4,6,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[8,2,6,3,7,4,5,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[8,2,4,7,3,5,6,1]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[8,2,6,5,7,3,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[4,5,6,2,7,3,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>10
[5,4,6,2,8,3,7,1]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[8,4,6,1,7,2,5,3]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[5,2,1,6,3,8,7,4]=>[[1,4,6],[2,5,7],[3,8]]=>15
[4,5,6,3,7,1,8,2]=>[[1,2,3,5,7],[4,8],[6]]=>10
[6,3,2,8,5,4,1,7]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[4,3,1,5,2,8,6,7]=>[[1,4,6,8],[2,5,7],[3]]=>14
[8,5,4,1,3,2,6,7]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[3,8,4,1,5,2,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>10
[2,5,4,3,8,1,6,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[2,5,7,4,3,1,6,8]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[5,3,4,2,7,1,6,8]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[3,7,5,4,1,2,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[4,3,5,1,2,7,6,8]=>[[1,3,6,8],[2,5,7],[4]]=>19
[4,1,6,3,5,2,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>16
[4,2,1,8,6,3,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>14
[3,1,7,2,5,6,4,8]=>[[1,3,5,6,8],[2,4],[7]]=>15
[3,7,5,4,2,1,6,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[3,7,2,4,1,6,5,8]=>[[1,2,6,8],[3,4],[5,7]]=>10
[7,3,2,1,6,4,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[2,8,6,1,7,4,3,5]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[2,5,4,6,1,3,7,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[2,5,6,4,1,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>9
[8,5,2,6,1,3,7,4]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[7,1,5,6,3,2,4,8]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[7,1,2,5,4,6,3,8]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[2,4,1,6,5,3,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>11
[4,1,2,7,5,6,3,8]=>[[1,3,4,6,8],[2,5],[7]]=>14
[7,1,2,6,5,4,3,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[8,2,1,5,6,3,7,4]=>[[1,4,5,7],[2,6,8],[3]]=>12
[2,8,5,1,6,4,7,3]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[6,1,4,5,3,2,7,8]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[3,1,6,5,4,2,7,8]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[3,1,4,6,5,2,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>12
[2,1,8,6,3,7,5,4]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[5,8,3,1,7,6,4,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[7,6,3,2,8,5,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[5,6,3,8,7,4,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[5,2,6,8,7,4,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[6,3,8,5,4,1,2,7]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[6,3,8,4,5,1,2,7]=>[[1,3,5,8],[2,4],[6,7]]=>17
[5,2,3,1,4,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>15
[5,4,1,3,2,8,6,7]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[5,1,3,4,2,8,6,7]=>[[1,3,4,6,8],[2,7],[5]]=>14
[5,2,1,4,3,8,6,7]=>[[1,4,6,8],[2,5,7],[3]]=>14
[4,2,7,3,8,5,1,6]=>[[1,3,5,8],[2,4,6],[7]]=>16
[4,7,3,2,8,5,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[4,3,7,2,8,5,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[5,3,1,2,4,8,6,7]=>[[1,4,5,6,8],[2,7],[3]]=>10
[5,4,3,1,2,8,6,7]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[5,3,4,1,2,8,6,7]=>[[1,3,6,8],[2,5,7],[4]]=>19
[5,2,3,4,1,8,6,7]=>[[1,3,4,6,8],[2,7],[5]]=>14
[5,1,7,3,4,6,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>14
[5,8,7,4,3,1,6,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>15
[6,8,1,3,4,5,7,2]=>[[1,2,5,6,7],[3,4],[8]]=>8
[3,1,7,8,2,5,4,6]=>[[1,3,4,8],[2,5,6],[7]]=>12
[6,2,3,7,4,1,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13
[6,3,7,4,1,2,5,8]=>[[1,3,7,8],[2,4],[5,6]]=>14
[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]]=>15
[3,6,7,5,1,2,4,8]=>[[1,2,3,8],[4,6,7],[5]]=>9
[7,4,5,1,8,2,3,6]=>[[1,3,5,8],[2,6,7],[4]]=>16
[7,2,3,1,8,4,5,6]=>[[1,3,5,7,8],[2,6],[4]]=>16
[2,1,4,8,3,7,5,6]=>[[1,3,4,8],[2,5,6],[7]]=>12
[4,8,1,6,7,3,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[1,2,7,8,4,3,6,5]=>[[1,2,3,4],[5,7],[6,8]]=>8
[4,8,1,3,5,6,2,7]=>[[1,2,5,6,8],[3,4],[7]]=>9
[5,3,7,8,4,2,6,1]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[6,3,7,8,2,4,5,1]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[8,5,2,4,3,1,7,6]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[7,5,4,2,3,1,8,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[3,5,4,6,7,1,8,2]=>[[1,2,4,5,7],[3,8],[6]]=>11
[1,4,2,6,5,8,7,3]=>[[1,2,4,6],[3,5,7],[8]]=>13
[1,3,2,6,4,8,7,5]=>[[1,2,4,6],[3,5,7],[8]]=>13
[1,4,2,5,3,8,7,6]=>[[1,2,4,6],[3,5,7],[8]]=>13
[1,5,2,6,4,8,7,3]=>[[1,2,4,6],[3,5,7],[8]]=>13
[1,6,2,5,3,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>14
[2,5,1,4,3,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>10
[1,7,3,5,4,8,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[1,8,2,6,3,7,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[1,8,3,6,4,7,5,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[1,7,2,6,4,8,5,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[1,7,2,6,3,8,5,4]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[1,5,2,7,4,8,6,3]=>[[1,2,4,6],[3,5,7],[8]]=>13
[1,4,2,8,5,7,6,3]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[4,8,1,3,2,6,5,7]=>[[1,2,6,8],[3,4],[5,7]]=>10
[1,5,3,8,4,7,6,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[1,8,4,7,3,6,5,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[2,6,3,8,1,5,4,7]=>[[1,2,4,8],[3,6],[5,7]]=>15
[8,3,1,4,2,6,5,7]=>[[1,4,6,8],[2,5,7],[3]]=>14
[4,8,7,3,5,2,1,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[6,8,7,3,5,2,4,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>19
[8,3,5,1,2,6,4,7]=>[[1,3,6,8],[2,5,7],[4]]=>19
[8,6,3,1,5,4,2,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[8,6,4,1,5,3,2,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[8,6,5,4,1,3,2,7]=>[[1,6,8],[2],[3],[4],[5],[7]]=>19
[5,3,8,7,4,6,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[2,3,8,7,4,6,1,5]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[8,3,5,7,4,1,2,6]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[4,8,5,3,1,2,7,6]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[6,8,7,3,1,5,4,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[6,8,5,4,1,3,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[2,5,8,7,4,6,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[4,8,7,6,5,1,3,2]=>[[1,2],[3,7],[4],[5],[6],[8]]=>18
[3,8,7,5,1,6,2,4]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[2,3,8,7,5,6,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[2,8,7,1,3,6,4,5]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[8,5,4,7,2,1,3,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[6,8,7,3,5,2,1,4]=>[[1,2],[3,5],[4,8],[6],[7]]=>18
[3,5,8,6,4,2,7,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>12
[6,8,4,1,5,2,7,3]=>[[1,2,7],[3,5,8],[4,6]]=>13
[6,8,2,1,7,5,3,4]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[5,8,4,6,1,2,7,3]=>[[1,2,7],[3,4,8],[5,6]]=>9
[2,4,8,6,5,1,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[4,8,7,6,5,2,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[4,8,7,5,1,6,2,3]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[4,5,2,1,8,6,7,3]=>[[1,2,5,7],[3,6],[4,8]]=>12
[4,5,8,3,1,6,7,2]=>[[1,2,3,7],[4,6],[5,8]]=>11
[5,7,2,8,4,6,1,3]=>[[1,2,4],[3,5,6],[7,8]]=>12
[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]]=>19
[8,7,2,6,5,1,3,4]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[5,2,7,8,4,1,3,6]=>[[1,3,4],[2,5,8],[6,7]]=>14
[2,7,8,6,4,1,3,5]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[7,6,3,5,2,8,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[6,2,7,4,8,5,3,1]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[8,6,5,1,7,2,4,3]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[6,8,5,1,7,3,2,4]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[1,6,8,3,7,4,2,5]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[5,1,6,3,4,8,2,7]=>[[1,3,5,6],[2,4,8],[7]]=>16
[3,5,2,6,4,8,1,7]=>[[1,2,4,6],[3,5,8],[7]]=>14
[3,5,2,4,8,1,7,6]=>[[1,2,5],[3,4,7],[6,8]]=>13
[6,3,8,2,4,1,7,5]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[4,6,3,8,7,5,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[6,3,8,7,5,4,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>22
[6,8,4,2,1,7,5,3]=>[[1,2],[3,6],[4,7],[5,8]]=>15
[5,2,6,4,3,8,1,7]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[6,5,3,1,4,8,2,7]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[3,1,7,8,6,4,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[3,8,1,7,6,2,5,4]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[8,1,7,6,4,2,5,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[7,2,6,3,8,5,4,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[7,3,8,6,4,1,5,2]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[1,7,5,8,2,4,3,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[6,1,5,2,4,8,3,7]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[1,5,6,3,8,2,4,7]=>[[1,2,3,5],[4,7,8],[6]]=>11
[8,7,1,3,6,5,2,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[2,6,7,4,3,8,5,1]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[5,2,4,7,3,8,6,1]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[1,5,8,7,2,4,6,3]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[1,4,8,7,3,6,5,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[8,3,7,2,5,1,6,4]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[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]]=>21
[7,2,1,5,8,4,3,6]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[7,2,8,1,4,3,6,5]=>[[1,3,7],[2,5,8],[4,6]]=>19
[1,7,8,3,2,6,5,4]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[1,7,4,8,3,2,6,5]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[1,7,5,4,8,3,2,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[6,1,5,4,3,8,2,7]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[1,7,4,5,6,8,2,3]=>[[1,2,4,5,6],[3,8],[7]]=>10
[1,6,4,2,3,5,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>7
[1,8,7,2,3,4,5,6]=>[[1,2,5,6,7,8],[3],[4]]=>7
[1,5,8,6,2,3,4,7]=>[[1,2,3,7,8],[4,6],[5]]=>9
[1,6,5,7,2,3,4,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[1,7,5,6,2,3,4,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[1,3,2,7,6,4,5,8]=>[[1,2,4,7,8],[3,5],[6]]=>11
[1,2,3,7,6,4,5,8]=>[[1,2,3,4,7,8],[5],[6]]=>5
[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]]=>11
[1,7,5,8,2,3,4,6]=>[[1,2,4,7,8],[3,6],[5]]=>14
[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]]=>13
[2,5,8,4,6,1,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>8
[2,5,3,8,6,1,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>13
[2,6,3,5,8,1,7,4]=>[[1,2,4,5],[3,7],[6,8]]=>13
[6,3,2,5,8,1,7,4]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[5,3,2,8,6,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[5,8,4,6,1,3,7,2]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[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]]=>15
[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]]=>9
[2,4,8,1,7,6,5,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[4,3,8,1,5,7,6,2]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[3,8,4,1,5,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[4,3,6,8,5,2,7,1]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[8,5,4,7,2,6,3,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[3,6,8,5,4,2,7,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[3,6,4,8,5,2,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[3,6,4,1,8,2,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>11
[3,6,4,1,5,2,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>11
[4,8,6,5,1,3,7,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[2,8,3,5,6,7,1,4]=>[[1,2,4,5,6],[3,8],[7]]=>10
[5,6,2,4,7,1,8,3]=>[[1,2,5,7],[3,4],[6,8]]=>12
[2,7,5,4,6,1,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[2,3,7,4,6,1,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>10
[2,6,7,4,1,3,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>10
[6,5,7,4,1,3,8,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[2,4,6,3,5,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>7
[4,1,6,3,5,7,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>14
[3,6,4,2,5,7,8,1]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[2,3,6,1,5,7,8,4]=>[[1,2,3,6,7],[4,5],[8]]=>7
[4,3,6,2,5,7,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[4,6,1,2,5,7,8,3]=>[[1,2,5,6,7],[3,4],[8]]=>8
[2,6,4,1,5,7,8,3]=>[[1,2,5,6,7],[3,8],[4]]=>8
[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]]=>17
[4,7,3,1,8,6,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[5,6,4,2,7,1,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[4,2,7,5,3,1,8,6]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[5,3,6,4,8,2,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[7,3,2,5,4,1,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[7,3,2,5,1,8,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[4,6,3,8,7,2,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[4,7,6,3,8,2,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[4,7,3,8,6,2,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[5,7,3,2,6,1,8,4]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[5,7,3,2,6,4,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[2,7,5,3,1,8,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[7,5,2,8,4,3,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[7,3,2,4,1,8,6,5]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[8,4,3,2,7,5,1,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[4,3,7,5,8,2,1,6]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[8,4,5,3,7,2,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[4,3,5,2,8,6,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[1,2,8,6,4,5,7,3]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[1,8,5,3,4,6,7,2]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[7,8,4,1,6,3,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[8,7,5,6,1,3,4,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[3,2,6,4,1,8,5,7]=>[[1,3,6,8],[2,4,7],[5]]=>15
[2,8,6,5,3,1,4,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[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]]=>15
[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]]=>13
[8,5,7,6,3,2,4,1]=>[[1,3],[2,7],[4],[5],[6],[8]]=>24
[6,4,1,8,7,3,2,5]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[1,8,5,4,2,7,3,6]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[3,7,6,1,5,8,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[3,6,5,8,2,7,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[8,3,2,7,4,6,5,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[7,5,8,4,1,3,6,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[7,1,6,2,3,8,4,5]=>[[1,3,5,6,8],[2,7],[4]]=>15
[6,4,7,1,3,2,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[5,1,3,8,7,2,6,4]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[8,7,1,6,2,5,3,4]=>[[1,4,6,8],[2],[3],[5],[7]]=>19
[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]]=>18
[3,8,5,1,4,7,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[7,2,5,4,1,3,8,6]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[7,5,8,1,6,3,2,4]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[7,4,6,1,3,2,5,8]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[1,4,5,8,6,3,2,7]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[8,4,5,7,2,6,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[4,5,2,6,7,3,1,8]=>[[1,2,4,5,8],[3,6],[7]]=>10
[8,1,7,5,3,6,2,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[5,2,8,3,6,1,4,7]=>[[1,3,5,8],[2,4],[6,7]]=>17
[5,2,6,3,1,7,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>14
[4,3,5,1,6,7,8,2]=>[[1,3,5,6,7],[2,8],[4]]=>14
[5,7,6,1,2,3,8,4]=>[[1,2,6,7],[3,5,8],[4]]=>12
[3,6,7,5,1,2,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>10
[1,7,6,8,5,2,4,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[5,7,6,8,1,2,4,3]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[5,6,3,7,1,4,8,2]=>[[1,2,4,7],[3,6],[5,8]]=>16
[5,3,2,1,8,6,4,7]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[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]]=>24
[7,8,5,3,6,2,1,4]=>[[1,2],[3,5],[4,8],[6],[7]]=>18
[7,8,5,3,6,2,4,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>19
[7,8,4,3,2,6,5,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[1,8,4,3,2,6,7,5]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[5,4,3,8,2,1,7,6]=>[[1,4],[2,7],[3,8],[5],[6]]=>20
[6,4,8,3,2,1,7,5]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[1,8,4,3,2,7,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[1,8,6,7,3,2,4,5]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[7,8,6,1,3,2,4,5]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[1,8,4,3,2,7,5,6]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[5,4,3,8,2,1,6,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[1,8,4,3,2,5,7,6]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[5,4,3,8,2,6,7,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[6,4,2,3,5,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[5,2,3,6,1,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>16
[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]]=>15
[8,6,3,2,5,4,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[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]]=>18
[3,8,6,4,7,2,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[2,1,8,6,4,5,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[4,8,2,5,7,3,1,6]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[5,8,2,3,4,7,1,6]=>[[1,2,5,6],[3,4],[7,8]]=>10
[6,3,4,7,8,2,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[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]]=>12
[3,7,8,5,2,6,4,1]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[3,8,6,2,7,4,5,1]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[8,5,4,7,1,3,6,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[7,3,6,2,8,1,5,4]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[8,1,5,2,3,7,6,4]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[6,4,2,3,7,8,5,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[8,4,2,3,6,7,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[4,5,8,3,7,2,1,6]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[3,7,2,8,4,5,1,6]=>[[1,2,4,8],[3,5,6],[7]]=>11
[3,5,1,8,4,6,2,7]=>[[1,2,4,8],[3,5,6],[7]]=>11
[4,2,1,5,6,8,3,7]=>[[1,4,5,6],[2,7,8],[3]]=>10
[4,1,2,6,5,8,3,7]=>[[1,3,4,6],[2,5,8],[7]]=>15
[4,1,8,3,2,6,7,5]=>[[1,3,6,7],[2,4],[5,8]]=>15
[4,2,7,5,8,1,3,6]=>[[1,3,5],[2,4,8],[6,7]]=>18
[4,6,2,7,8,3,1,5]=>[[1,2,4,5],[3,6,8],[7]]=>11
[4,6,1,3,8,2,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>12
[4,3,6,2,1,8,7,5]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[3,7,4,5,1,6,2,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[3,6,4,5,8,2,1,7]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[6,1,4,5,2,8,7,3]=>[[1,3,4,6],[2,7],[5,8]]=>15
[7,2,4,5,1,6,3,8]=>[[1,3,4,6,8],[2,7],[5]]=>14
[7,5,4,1,6,3,2,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[1,5,4,8,6,3,2,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[7,5,4,8,6,3,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[1,8,7,5,3,6,4,2]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[8,3,7,4,1,6,2,5]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[8,5,4,1,6,3,2,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[1,7,4,2,6,5,3,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[8,2,1,5,6,7,3,4]=>[[1,4,5,6],[2,7,8],[3]]=>10
[6,3,1,8,4,7,2,5]=>[[1,4,6],[2,5,8],[3,7]]=>16
[7,1,4,8,6,3,2,5]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[4,1,8,5,6,7,2,3]=>[[1,3,5,6],[2,4,8],[7]]=>16
[5,7,4,8,6,2,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[5,3,6,8,2,7,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[6,3,7,4,8,2,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[5,3,6,1,4,7,2,8]=>[[1,3,6,8],[2,5],[4,7]]=>20
[4,3,6,8,2,7,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[5,3,7,4,8,2,1,6]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[5,3,8,4,1,6,2,7]=>[[1,3,6,8],[2,4],[5,7]]=>16
[5,3,8,1,4,7,2,6]=>[[1,3,6],[2,5,8],[4,7]]=>21
[5,8,4,1,6,3,2,7]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[7,3,8,4,1,6,2,5]=>[[1,3,6],[2,4,8],[5,7]]=>17
[1,5,8,3,6,7,4,2]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[1,8,2,5,6,7,3,4]=>[[1,2,4,5,6],[3,8],[7]]=>10
[7,8,4,1,6,5,2,3]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[6,3,8,1,5,7,2,4]=>[[1,3,6],[2,5,8],[4,7]]=>21
[8,3,1,2,5,7,4,6]=>[[1,4,5,6],[2,7,8],[3]]=>10
[8,1,4,2,6,5,3,7]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[5,1,3,7,4,8,2,6]=>[[1,3,4,6],[2,5,8],[7]]=>15
[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]]=>13
[5,1,7,8,3,4,2,6]=>[[1,3,4,8],[2,5,6],[7]]=>12
[2,5,4,8,3,7,6,1]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[5,6,8,2,3,4,1,7]=>[[1,2,3,8],[4,5,6],[7]]=>6
[2,3,5,7,4,6,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>6
[3,7,4,5,8,1,2,6]=>[[1,2,4,5],[3,7,8],[6]]=>12
[3,7,8,1,4,5,2,6]=>[[1,2,3,8],[4,5,6],[7]]=>6
[5,8,2,1,6,3,4,7]=>[[1,2,7,8],[3,5],[4,6]]=>12
[4,8,1,3,7,5,2,6]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[2,4,7,8,5,3,6,1]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[5,3,1,4,7,2,8,6]=>[[1,4,5,7],[2,6,8],[3]]=>12
[2,4,7,5,8,3,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[4,3,5,8,2,1,7,6]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[4,8,5,3,7,1,2,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[4,8,5,7,3,1,2,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[4,8,7,5,1,3,2,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[3,7,8,4,1,5,2,6]=>[[1,2,3,8],[4,6],[5,7]]=>10
[1,8,5,7,2,4,3,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[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]]=>8
[1,6,3,8,2,7,4,5]=>[[1,2,4,8],[3,6],[5,7]]=>15
[1,8,2,3,6,7,5,4]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[1,3,6,8,2,7,5,4]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[1,6,5,4,3,8,2,7]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[1,8,3,4,5,6,2,7]=>[[1,2,4,5,6,8],[3],[7]]=>9
[1,8,3,6,2,4,5,7]=>[[1,2,4,7,8],[3,6],[5]]=>14
[1,4,5,8,3,6,2,7]=>[[1,2,3,4,8],[5,6],[7]]=>5
[1,2,7,8,4,5,3,6]=>[[1,2,3,4,8],[5,6],[7]]=>5
[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]]=>21
[6,2,8,7,5,4,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[6,2,8,4,3,7,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[5,2,8,4,3,1,7,6]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[1,2,5,4,8,3,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>12
[1,4,3,6,8,7,2,5]=>[[1,2,4,5],[3,6],[7,8]]=>11
[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]]=>13
[3,1,8,6,4,7,2,5]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[3,1,6,8,5,4,2,7]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[5,3,2,8,7,6,4,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[5,3,8,2,7,6,1,4]=>[[1,3],[2,5],[4,6],[7,8]]=>22
[6,5,4,8,3,7,2,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>24
[4,8,5,1,3,7,2,6]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[4,3,8,7,2,6,5,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[2,7,5,1,8,4,6,3]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[7,8,5,2,1,6,4,3]=>[[1,2],[3,6],[4,7],[5,8]]=>15
[7,6,4,8,1,2,5,3]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[7,5,4,8,3,2,6,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>23
[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]]=>8
[2,4,5,8,6,7,1,3]=>[[1,2,3,4,6],[5,8],[7]]=>8
[4,3,1,5,6,2,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>12
[4,1,5,8,6,7,2,3]=>[[1,3,4,6],[2,5,8],[7]]=>15
[4,3,7,6,1,2,8,5]=>[[1,3,7],[2,4,8],[5,6]]=>15
[4,7,5,6,1,2,8,3]=>[[1,2,4,7],[3,6,8],[5]]=>15
[4,3,7,5,6,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[4,5,1,8,6,7,3,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[3,4,5,8,6,7,2,1]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[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]]=>7
[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]]=>15
[5,3,8,6,4,7,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[6,4,1,5,7,8,3,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[3,6,4,7,2,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[3,8,4,6,1,7,2,5]=>[[1,2,4,6],[3,7,8],[5]]=>13
[3,8,5,6,4,7,2,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>18
[3,8,4,5,6,7,2,1]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[3,8,6,5,2,7,4,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[3,8,7,5,2,1,4,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[3,8,6,5,1,7,2,4]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[6,4,1,7,3,2,8,5]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[5,1,4,6,7,2,8,3]=>[[1,3,4,5,7],[2,8],[6]]=>12
[6,5,4,7,1,3,8,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[2,1,6,5,3,7,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>14
[6,1,4,7,2,3,8,5]=>[[1,3,4,7],[2,6,8],[5]]=>16
[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]]=>15
[6,1,3,5,8,2,4,7]=>[[1,3,4,5],[2,7,8],[6]]=>13
[5,6,4,3,1,8,2,7]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[6,2,3,5,8,1,4,7]=>[[1,3,4,5],[2,7,8],[6]]=>13
[6,7,2,3,8,4,5,1]=>[[1,2,5,7],[3,4,6],[8]]=>11
[6,7,2,1,3,8,4,5]=>[[1,2,6,8],[3,5,7],[4]]=>13
[5,7,4,1,8,3,2,6]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[4,1,7,5,8,3,6,2]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[6,7,1,3,8,4,5,2]=>[[1,2,5,7],[3,4,6],[8]]=>11
[1,6,7,4,3,8,5,2]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[6,1,7,4,2,8,5,3]=>[[1,3,6],[2,4,7],[5,8]]=>16
[2,1,6,7,4,3,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13
[6,7,3,2,1,8,4,5]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[2,5,7,3,1,4,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>10
[6,7,3,2,8,4,5,1]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[1,2,6,7,4,3,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>6
[2,7,1,8,4,6,3,5]=>[[1,2,4],[3,5,6],[7,8]]=>12
[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]]=>13
[8,3,7,6,1,2,5,4]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[8,7,3,4,6,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[8,2,5,7,1,4,6,3]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[8,2,4,7,1,5,6,3]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[8,2,3,4,7,1,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>13
[8,7,3,5,6,2,4,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[8,7,4,6,5,2,3,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>23
[8,4,6,7,5,1,2,3]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[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]]=>20
[8,7,3,4,6,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[8,7,4,6,5,2,1,3]=>[[1,4],[2,8],[3],[5],[6],[7]]=>22
[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]]=>19
[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]]=>20
[8,4,2,7,5,1,6,3]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[8,3,4,2,7,5,6,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[8,4,7,6,5,1,2,3]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[8,3,5,2,7,4,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[8,5,2,6,7,4,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[8,5,3,7,6,4,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[8,6,2,5,7,3,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[8,6,2,4,7,3,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[8,5,2,3,7,4,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[8,5,3,2,7,6,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>17
[8,6,1,5,4,3,2,7]=>[[1,4,8],[2],[3],[5],[6],[7]]=>21
[2,4,5,8,3,1,6,7]=>[[1,2,3,4,8],[5,7],[6]]=>7
[2,7,4,6,1,5,8,3]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[2,4,3,8,5,1,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>11
[7,8,3,2,5,4,6,1]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[1,5,6,7,3,8,2,4]=>[[1,2,3,4,6],[5,8],[7]]=>8
[1,6,5,4,8,3,2,7]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[1,7,3,5,8,4,6,2]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[7,2,1,6,4,8,5,3]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[7,5,8,3,2,4,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[3,8,7,2,4,6,5,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[1,3,7,6,4,8,5,2]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[3,1,8,7,6,4,2,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[3,1,8,7,5,4,2,6]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[3,1,7,6,5,4,2,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[4,7,1,6,5,3,2,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[4,8,1,6,5,3,2,7]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[8,4,1,7,6,3,2,5]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[5,4,1,8,6,3,2,7]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[5,4,1,7,6,3,2,8]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[6,4,1,8,5,3,2,7]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[8,4,1,7,5,3,2,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[7,4,1,6,5,3,2,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[7,5,6,1,4,3,2,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[8,5,6,1,4,3,2,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[8,5,7,1,4,3,2,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[5,7,6,1,4,3,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[5,8,6,1,4,3,2,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[6,7,5,1,4,3,2,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[8,7,5,1,4,3,2,6]=>[[1,5,8],[2],[3],[4],[6],[7]]=>20
[8,6,5,1,4,3,2,7]=>[[1,5,8],[2],[3],[4],[6],[7]]=>20
[8,6,1,7,2,5,3,4]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[1,8,6,3,4,2,5,7]=>[[1,2,5,7,8],[3],[4],[6]]=>12
[3,1,6,4,5,8,2,7]=>[[1,3,5,6],[2,4,8],[7]]=>16
[7,6,3,8,4,5,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[8,2,7,6,1,4,3,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[5,2,7,8,1,4,3,6]=>[[1,3,4],[2,6,8],[5,7]]=>17
[5,6,3,8,4,1,2,7]=>[[1,2,4],[3,5,8],[6,7]]=>13
[8,2,7,6,1,4,5,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[5,2,3,4,7,1,6,8]=>[[1,3,4,5,8],[2,7],[6]]=>13
[5,2,3,7,1,6,8,4]=>[[1,3,4,7],[2,6],[5,8]]=>17
[8,7,5,3,1,6,4,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[1,4,7,8,5,2,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>7
[5,8,3,7,6,4,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[6,5,1,7,2,4,8,3]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[3,6,7,1,4,2,5,8]=>[[1,2,3,8],[4,5,7],[6]]=>8
[4,7,5,8,2,1,3,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[8,1,2,7,5,4,3,6]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[6,5,1,8,3,7,2,4]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[1,8,7,5,3,2,6,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[7,8,1,5,4,2,3,6]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[3,4,6,8,1,5,7,2]=>[[1,2,3,4],[5,6,7],[8]]=>5
[6,8,1,7,5,4,2,3]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[7,6,3,1,2,8,5,4]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[6,3,5,7,1,4,2,8]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[1,7,5,2,6,4,8,3]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[7,1,3,6,8,2,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>13
[1,2,5,7,8,4,6,3]=>[[1,2,3,4,5],[6,7],[8]]=>4
[3,1,2,7,5,4,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>13
[6,7,4,1,3,2,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[1,7,2,8,4,3,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>11
[1,6,3,5,7,8,2,4]=>[[1,2,4,5,6],[3,8],[7]]=>10
[8,6,1,7,5,2,4,3]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[7,6,4,1,8,3,2,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[8,4,1,6,5,2,7,3]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[1,5,3,4,7,8,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>10
[4,2,1,5,7,8,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>10
[5,4,1,6,7,8,2,3]=>[[1,4,5,6],[2,7,8],[3]]=>10
[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]]=>16
[8,1,4,6,5,2,7,3]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[7,1,5,4,6,3,2,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>21
[8,2,1,6,7,5,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[1,2,4,7,6,3,8,5]=>[[1,2,3,4,7],[5,8],[6]]=>6
[6,7,4,1,8,5,2,3]=>[[1,2,5],[3,6,8],[4,7]]=>12
[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]]=>20
[6,1,5,4,8,3,2,7]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[1,2,8,7,4,3,6,5]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[3,2,1,7,5,8,4,6]=>[[1,4,6],[2,5,8],[3,7]]=>16
[1,3,6,4,7,8,2,5]=>[[1,2,3,5,6],[4,8],[7]]=>9
[4,5,1,3,7,8,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>10
[5,2,3,1,7,8,4,6]=>[[1,3,5,6],[2,7,8],[4]]=>15
[1,6,4,3,7,8,2,5]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[7,6,4,3,1,5,2,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[7,5,4,6,1,3,2,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[8,4,6,5,1,2,7,3]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[1,5,6,3,7,8,2,4]=>[[1,2,3,5,6],[4,8],[7]]=>9
[1,5,2,4,3,8,7,6]=>[[1,2,4,6],[3,7],[5,8]]=>14
[8,6,5,7,2,1,4,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>20
[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]]=>17
[2,3,8,4,7,5,6,1]=>[[1,2,3,5,7],[4],[6],[8]]=>12
[3,7,2,8,6,4,5,1]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[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]]=>15
[3,8,1,7,5,2,4,6]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[2,4,7,8,6,1,5,3]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[2,4,8,5,1,7,3,6]=>[[1,2,3,6],[4,7,8],[5]]=>8
[2,8,3,5,1,6,4,7]=>[[1,2,4,6,8],[3,7],[5]]=>13
[8,2,4,6,3,7,5,1]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[4,5,3,8,2,1,7,6]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[1,4,6,2,7,5,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>9
[8,2,1,4,5,6,7,3]=>[[1,4,5,6,7],[2,8],[3]]=>9
[7,3,1,2,5,6,4,8]=>[[1,4,5,6,8],[2,7],[3]]=>10
[7,8,2,1,5,4,6,3]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[1,4,8,5,2,6,3,7]=>[[1,2,3,6,8],[4,7],[5]]=>8
[5,2,3,7,8,1,6,4]=>[[1,3,4,5],[2,7],[6,8]]=>14
[1,2,8,4,3,6,7,5]=>[[1,2,3,6,7],[4,8],[5]]=>7
[1,2,7,5,3,4,6,8]=>[[1,2,3,6,7,8],[4],[5]]=>6
[1,7,3,2,6,8,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>9
[7,2,1,3,6,8,4,5]=>[[1,4,5,6],[2,7,8],[3]]=>10
[4,7,8,1,6,5,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[3,5,8,6,1,4,2,7]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[1,8,4,2,7,6,3,5]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[7,3,8,1,6,5,4,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[7,3,8,2,6,5,4,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[7,1,3,8,6,5,4,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[8,1,3,7,6,5,4,2]=>[[1,3,4],[2],[5],[6],[7],[8]]=>21
[2,4,1,8,7,3,6,5]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[7,3,8,6,1,5,4,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[3,5,1,7,8,2,6,4]=>[[1,2,4,5],[3,6,7],[8]]=>10
[5,4,7,8,2,1,6,3]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[6,3,8,7,1,5,4,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[8,6,4,7,1,5,3,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[3,4,6,2,1,8,5,7]=>[[1,2,3,6],[4,7,8],[5]]=>8
[4,5,7,2,1,6,3,8]=>[[1,2,3,8],[4,6],[5,7]]=>10
[5,6,4,8,3,2,1,7]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[5,7,4,8,2,1,6,3]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[4,7,5,8,2,1,6,3]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[5,7,4,2,6,3,8,1]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[5,7,4,1,6,2,8,3]=>[[1,2,7],[3,5,8],[4,6]]=>13
[8,5,6,1,7,3,2,4]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[4,5,1,6,7,8,3,2]=>[[1,2,4,5,6],[3,7],[8]]=>9
[4,5,2,6,1,3,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>15
[8,4,6,7,2,5,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[7,1,4,6,8,3,5,2]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[6,7,1,2,4,8,5,3]=>[[1,2,5,6],[3,4,7],[8]]=>9
[1,6,3,4,7,8,5,2]=>[[1,2,4,5,6],[3,7],[8]]=>9
[2,3,6,4,7,5,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>10
[7,8,1,3,4,5,6,2]=>[[1,2,5,6,7],[3,4],[8]]=>8
[1,8,2,6,7,3,4,5]=>[[1,2,4,5,8],[3,7],[6]]=>12
[4,7,3,2,8,1,5,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[7,1,2,6,3,8,5,4]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[8,1,2,6,3,7,5,4]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[8,1,2,7,6,3,5,4]=>[[1,3,4,7],[2],[5],[6],[8]]=>18
[4,8,7,3,1,6,2,5]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[4,7,8,3,1,6,2,5]=>[[1,2,3],[4,6,8],[5,7]]=>11
[7,4,3,1,6,2,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[7,4,3,1,8,6,2,5]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[3,7,6,2,4,8,1,5]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[4,3,7,2,8,6,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[6,1,2,7,4,3,8,5]=>[[1,3,4,7],[2,5,8],[6]]=>13
[5,1,2,6,3,8,7,4]=>[[1,3,4,6],[2,5,7],[8]]=>14
[5,1,2,7,3,8,6,4]=>[[1,3,4,6],[2,5,7],[8]]=>14
[6,1,2,7,3,5,8,4]=>[[1,3,4,6,7],[2,5],[8]]=>13
[7,5,3,2,1,8,6,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[4,2,1,5,3,6,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[6,2,5,4,1,8,7,3]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[4,6,3,2,1,8,7,5]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[6,5,3,2,1,8,7,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[8,4,3,2,7,6,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[1,5,8,4,7,6,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[3,2,7,4,8,6,1,5]=>[[1,3,5],[2,4,6],[7,8]]=>17
[7,4,3,2,8,6,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[6,8,3,7,5,2,1,4]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[5,7,8,4,3,2,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[6,4,3,8,5,2,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[8,2,5,4,7,6,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[7,2,5,4,8,6,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[4,5,3,2,8,6,1,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[3,2,5,4,8,6,1,7]=>[[1,3,5,8],[2,4,6],[7]]=>16
[3,2,8,6,5,4,1,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[8,4,3,6,5,2,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[8,4,3,7,5,2,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[3,2,7,8,5,4,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[6,8,7,4,3,2,1,5]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[3,6,1,4,8,7,2,5]=>[[1,2,5],[3,4,6],[7,8]]=>11
[5,8,1,3,7,2,6,4]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[4,7,5,1,8,2,6,3]=>[[1,2,5],[3,6,7],[4,8]]=>11
[6,3,2,1,8,7,4,5]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[6,2,3,1,8,7,4,5]=>[[1,3,5,8],[2,6],[4,7]]=>17
[7,2,5,1,8,3,6,4]=>[[1,3,5],[2,6,7],[4,8]]=>17
[7,2,1,5,8,4,6,3]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[4,2,8,1,7,5,6,3]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[7,3,1,5,2,8,6,4]=>[[1,4,6],[2,5,7],[3,8]]=>15
[7,1,6,4,2,8,5,3]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[3,7,4,1,5,8,6,2]=>[[1,2,5,6],[3,7],[4,8]]=>10
[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]]=>12
[6,7,1,4,3,8,5,2]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[4,7,1,5,3,8,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[6,8,1,2,4,7,5,3]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[7,1,6,4,8,3,5,2]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[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]]=>17
[7,2,1,4,5,8,6,3]=>[[1,4,5,6],[2,7],[3,8]]=>11
[8,5,6,1,2,7,4,3]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[8,6,2,5,4,7,3,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>23
[8,5,7,3,2,4,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[8,5,2,1,4,3,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[2,8,4,1,3,6,7,5]=>[[1,2,6,7],[3,5,8],[4]]=>12
[8,1,2,4,5,6,7,3]=>[[1,3,4,5,6,7],[2],[8]]=>9
[6,1,4,3,2,7,8,5]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[1,8,3,6,7,2,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>12
[1,2,8,3,7,4,6,5]=>[[1,2,3,5,7],[4],[6],[8]]=>12
[8,2,6,5,4,3,1,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>22
[8,2,7,6,4,5,3,1]=>[[1,3,6],[2],[4],[5],[7],[8]]=>24
[8,7,3,5,4,2,6,1]=>[[1,4,7],[2],[3],[5],[6],[8]]=>22
[4,6,7,2,1,8,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>8
[3,7,1,8,2,5,4,6]=>[[1,2,4,8],[3,5,6],[7]]=>11
[4,5,8,6,1,3,7,2]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[4,5,8,6,2,7,3,1]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[4,6,7,1,5,3,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[4,6,7,2,1,8,5,3]=>[[1,2,3,6],[4,7],[5,8]]=>9
[4,2,5,6,7,8,3,1]=>[[1,3,4,5,6],[2,7],[8]]=>10
[4,1,3,5,6,7,8,2]=>[[1,3,4,5,6,7],[2],[8]]=>9
[3,7,8,4,5,1,6,2]=>[[1,2,3,7],[4,5],[6,8]]=>8
[4,6,8,3,2,7,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[4,6,8,2,3,7,1,5]=>[[1,2,3],[4,5,6],[7,8]]=>7
[3,8,1,7,4,5,2,6]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[4,5,8,3,7,1,2,6]=>[[1,2,3],[4,5,8],[6,7]]=>8
[3,7,8,4,6,2,5,1]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[3,6,1,5,7,8,2,4]=>[[1,2,5,6],[3,4,8],[7]]=>10
[3,8,2,5,4,7,1,6]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[3,8,6,2,5,1,7,4]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[4,5,8,6,2,1,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[4,5,8,6,1,2,7,3]=>[[1,2,3,7],[4,6,8],[5]]=>10
[4,6,8,5,2,7,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[3,7,8,5,2,6,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[3,7,8,5,4,1,6,2]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[4,6,8,5,3,1,7,2]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[7,8,2,3,5,4,1,6]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[4,6,5,2,7,8,1,3]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[1,6,5,2,3,4,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>8
[4,6,5,1,7,3,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[5,7,3,1,2,4,8,6]=>[[1,2,6,7],[3,5,8],[4]]=>12
[6,3,2,5,1,7,4,8]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[6,1,2,4,8,5,3,7]=>[[1,3,4,5,8],[2,6],[7]]=>11
[6,3,1,7,2,5,8,4]=>[[1,4,6,7],[2,5],[3,8]]=>14
[3,6,5,8,1,7,2,4]=>[[1,2,4],[3,6,8],[5,7]]=>16
[5,2,7,3,4,6,1,8]=>[[1,3,5,6,8],[2,4],[7]]=>15
[1,3,5,8,6,4,7,2]=>[[1,2,3,4,7],[5],[6],[8]]=>8
[1,3,5,8,6,7,2,4]=>[[1,2,3,4,6],[5,8],[7]]=>8
[6,1,7,4,8,5,3,2]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[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]]=>15
[7,8,1,4,6,5,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[7,8,6,1,4,5,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[6,2,7,3,8,5,4,1]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[1,2,7,5,3,4,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>7
[7,2,8,3,6,4,5,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[6,2,7,8,3,1,4,5]=>[[1,3,4,8],[2,5,7],[6]]=>14
[1,7,8,2,5,3,4,6]=>[[1,2,3,7,8],[4,5],[6]]=>6
[1,2,8,7,3,4,6,5]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[8,2,7,4,5,1,6,3]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[3,8,1,5,7,2,6,4]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[7,5,4,8,6,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[7,1,8,6,4,5,2,3]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[8,7,5,1,4,3,6,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>21
[6,8,4,3,1,7,2,5]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[8,4,1,3,7,5,6,2]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[4,8,1,3,7,5,6,2]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[2,1,6,8,5,3,4,7]=>[[1,3,4,8],[2,5,7],[6]]=>14
[4,5,1,3,8,6,7,2]=>[[1,2,5,7],[3,4,6],[8]]=>11
[1,2,6,8,5,3,4,7]=>[[1,2,3,4,8],[5,7],[6]]=>7
[5,6,8,7,3,1,2,4]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[6,7,5,3,8,1,2,4]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[6,8,5,7,3,1,2,4]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[5,1,4,2,6,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>16
[6,3,2,4,7,1,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[1,5,8,6,2,4,3,7]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[5,1,8,6,2,4,3,7]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[5,8,6,3,7,1,2,4]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[5,7,6,3,8,1,2,4]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[6,8,7,5,3,1,2,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[1,2,5,3,6,8,7,4]=>[[1,2,3,5,6],[4,7],[8]]=>8
[6,8,7,2,1,5,3,4]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[7,3,6,1,4,8,2,5]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[7,8,1,6,5,3,4,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[8,7,3,2,1,4,6,5]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[8,3,5,1,7,4,2,6]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[3,5,6,8,4,2,7,1]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[5,8,2,6,4,3,7,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[2,8,6,3,4,1,7,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[1,7,2,3,5,8,6,4]=>[[1,2,4,5,6],[3,7],[8]]=>9
[2,8,3,7,5,1,6,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[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]]=>13
[2,8,4,3,6,7,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[7,3,2,5,6,1,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[1,6,7,8,2,4,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>6
[4,1,2,8,5,3,7,6]=>[[1,3,4,7],[2,5,8],[6]]=>13
[3,8,4,2,5,1,7,6]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[1,8,5,6,4,3,2,7]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[2,8,3,5,6,4,1,7]=>[[1,2,4,5,8],[3],[6],[7]]=>12
[7,6,8,3,2,5,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>23
[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]]=>11
[5,1,3,8,4,6,2,7]=>[[1,3,4,6,8],[2,5],[7]]=>14
[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]]=>12
[5,7,6,8,2,1,4,3]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[1,3,6,5,2,7,4,8]=>[[1,2,3,6,8],[4,7],[5]]=>8
[1,2,6,5,3,4,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>6
[1,7,2,5,6,8,3,4]=>[[1,2,4,5,6],[3,8],[7]]=>10
[1,7,2,4,8,3,5,6]=>[[1,2,4,5,8],[3,7],[6]]=>12
[1,6,2,4,5,3,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>10
[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]]=>6
[1,6,7,2,5,3,4,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[1,2,8,3,6,7,4,5]=>[[1,2,3,5,6],[4,8],[7]]=>9
[1,7,2,5,3,4,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>12
[7,1,5,6,2,3,8,4]=>[[1,3,4,7],[2,6,8],[5]]=>16
[8,2,1,4,6,7,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>10
[7,2,6,1,3,4,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>18
[4,1,3,7,2,5,8,6]=>[[1,3,4,7],[2,6,8],[5]]=>16
[6,2,7,5,1,3,8,4]=>[[1,3,7],[2,4,8],[5,6]]=>15
[1,7,5,6,2,3,8,4]=>[[1,2,4,7],[3,6,8],[5]]=>15
[3,7,6,1,2,4,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>12
[8,6,1,3,5,7,2,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[1,7,4,3,8,2,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[6,1,5,3,4,8,2,7]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[3,6,7,5,2,8,1,4]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[7,8,4,1,5,6,2,3]=>[[1,2,6],[3,5,8],[4,7]]=>15
[5,8,1,3,6,7,2,4]=>[[1,2,5,6],[3,4],[7,8]]=>10
[2,8,4,3,7,1,5,6]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[3,8,4,6,7,1,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>12
[6,3,8,4,7,1,2,5]=>[[1,3,5],[2,4,8],[6,7]]=>18
[1,2,5,4,8,3,6,7]=>[[1,2,3,5,8],[4,7],[6]]=>11
[7,1,3,8,2,4,5,6]=>[[1,3,4,7,8],[2,6],[5]]=>15
[8,1,3,7,2,4,5,6]=>[[1,3,4,7,8],[2,6],[5]]=>15
[3,5,4,7,8,1,2,6]=>[[1,2,4,5],[3,7,8],[6]]=>12
[8,3,1,4,7,2,5,6]=>[[1,4,5,8],[2,6,7],[3]]=>11
[1,6,4,7,8,2,3,5]=>[[1,2,4,5],[3,7,8],[6]]=>12
[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]]=>17
[1,3,7,8,5,6,2,4]=>[[1,2,3,4],[5,6],[7,8]]=>6
[8,2,6,7,5,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[8,1,7,4,6,2,3,5]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[2,5,8,4,7,1,3,6]=>[[1,2,3],[4,5,8],[6,7]]=>8
[4,5,8,7,1,2,3,6]=>[[1,2,3,8],[4,6,7],[5]]=>9
[4,1,8,5,7,2,3,6]=>[[1,3,5,8],[2,4,7],[6]]=>18
[1,8,7,4,6,2,3,5]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[2,6,5,4,1,8,3,7]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[6,2,5,1,4,8,3,7]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[6,5,4,1,3,8,2,7]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[6,3,5,4,2,8,1,7]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[1,3,8,7,4,2,6,5]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[8,7,4,3,1,5,2,6]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[8,2,5,1,4,6,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[3,8,4,5,1,6,7,2]=>[[1,2,4,6,7],[3,8],[5]]=>12
[8,5,4,1,3,6,7,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[8,3,1,7,5,6,4,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[8,4,7,6,5,3,1,2]=>[[1,3],[2,8],[4],[5],[6],[7]]=>23
[8,1,4,5,7,6,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[2,4,1,8,5,7,6,3]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[8,2,1,4,7,6,3,5]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[8,3,1,7,4,2,6,5]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[8,2,7,3,1,6,5,4]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[1,8,4,2,3,7,6,5]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[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]]=>14
[2,8,3,7,4,1,6,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[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]]=>13
[4,2,8,7,3,1,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[1,3,4,8,7,2,5,6]=>[[1,2,3,4,8],[5,7],[6]]=>7
[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]]=>9
[3,6,8,2,5,1,7,4]=>[[1,2,3],[4,5,7],[6,8]]=>9
[3,8,2,5,7,4,6,1]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[8,4,2,1,7,5,6,3]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[8,2,7,5,6,4,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[6,2,8,5,4,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[6,8,5,4,1,7,2,3]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[2,8,1,5,7,6,3,4]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[3,1,8,2,7,5,6,4]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[8,5,7,1,6,4,2,3]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[2,8,4,7,3,6,5,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[8,4,7,2,1,6,5,3]=>[[1,3],[2,6],[4,7],[5],[8]]=>22
[1,8,4,7,6,5,2,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[3,5,8,1,7,4,6,2]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[8,4,7,1,3,6,5,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[2,3,4,7,6,8,1,5]=>[[1,2,3,4,6],[5,8],[7]]=>8
[3,8,1,2,5,6,4,7]=>[[1,2,5,6,8],[3,4],[7]]=>9
[8,5,2,1,4,6,7,3]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[4,8,1,6,5,2,7,3]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[4,2,6,3,8,5,7,1]=>[[1,3,5,7],[2,4,6],[8]]=>17
[4,5,2,6,7,1,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>11
[8,3,5,4,2,7,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[2,8,6,4,7,3,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[3,1,8,6,5,2,7,4]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[8,3,1,5,2,6,7,4]=>[[1,4,6,7],[2,5,8],[3]]=>13
[3,8,2,4,1,5,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>9
[5,8,3,2,4,1,7,6]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[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]]=>16
[5,2,4,6,1,3,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>16
[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]]=>14
[6,8,3,4,7,5,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[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]]=>15
[3,7,4,6,8,2,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[4,7,1,6,8,3,2,5]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[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]]=>14
[4,8,5,2,6,7,1,3]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[5,4,8,6,1,2,7,3]=>[[1,3,7],[2,4,8],[5,6]]=>15
[8,4,6,5,2,7,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[8,1,6,4,7,5,2,3]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[5,2,7,6,4,8,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[8,6,2,3,5,1,7,4]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[8,2,5,7,4,1,3,6]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[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]]=>12
[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]]=>17
[5,3,6,1,4,2,8,7]=>[[1,3,7],[2,5,8],[4,6]]=>19
[5,7,2,1,4,3,8,6]=>[[1,2,7],[3,5,8],[4,6]]=>13
[7,1,8,3,5,2,4,6]=>[[1,3,5,8],[2,4],[6,7]]=>17
[7,2,4,8,1,5,6,3]=>[[1,3,4,7],[2,6],[5,8]]=>17
[7,1,8,4,2,5,6,3]=>[[1,3,6,7],[2,4],[5,8]]=>15
[6,4,2,5,8,1,7,3]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[2,1,7,5,8,3,6,4]=>[[1,3,5],[2,4,7],[6,8]]=>19
[7,3,8,5,6,2,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[2,7,4,8,1,5,6,3]=>[[1,2,4,7],[3,6],[5,8]]=>16
[7,4,8,3,1,5,6,2]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[6,1,5,8,3,7,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[2,6,3,5,8,7,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[8,6,5,3,7,2,1,4]=>[[1,5],[2,8],[3],[4],[6],[7]]=>21
[4,8,5,3,7,2,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[7,4,8,6,5,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>22
[7,4,8,5,6,3,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[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]]=>9
[7,3,1,8,2,5,6,4]=>[[1,4,6,7],[2,5],[3,8]]=>14
[7,2,3,8,1,5,6,4]=>[[1,3,4,7],[2,6],[5,8]]=>17
[6,4,8,7,3,2,1,5]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[2,7,4,8,6,3,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[6,4,8,2,3,1,7,5]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[7,2,1,8,3,5,6,4]=>[[1,4,6,7],[2,5],[3,8]]=>14
[5,1,6,3,8,2,4,7]=>[[1,3,5,8],[2,4,7],[6]]=>18
[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]]=>19
[7,5,4,8,1,6,2,3]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[4,3,5,8,7,1,2,6]=>[[1,3,4],[2,5,8],[6,7]]=>14
[3,5,6,8,1,4,2,7]=>[[1,2,3,4],[5,6,8],[7]]=>6
[4,3,5,8,2,1,6,7]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[6,4,7,2,3,1,5,8]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[6,8,1,5,4,2,7,3]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[7,8,6,3,1,4,2,5]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[7,8,6,3,5,1,2,4]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[7,2,8,5,4,6,3,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[6,1,8,4,7,2,3,5]=>[[1,3,5,8],[2,4],[6,7]]=>17
[5,6,4,3,7,1,8,2]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[6,5,3,7,2,4,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[5,6,2,8,4,3,7,1]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[7,1,3,6,5,8,4,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[5,7,4,3,6,8,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[4,6,2,7,8,3,5,1]=>[[1,2,4,5],[3,6,7],[8]]=>10
[5,1,2,4,6,7,8,3]=>[[1,3,4,5,6,7],[2],[8]]=>9
[4,6,3,5,2,8,7,1]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[5,6,3,4,8,2,7,1]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[5,2,6,4,1,7,8,3]=>[[1,3,6,7],[2,4],[5,8]]=>15
[5,8,4,6,3,2,7,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[5,4,3,8,6,2,7,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[5,7,8,2,4,3,6,1]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[5,6,2,4,8,3,7,1]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[6,4,7,8,2,3,5,1]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[3,7,5,2,4,8,1,6]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[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]]=>22
[5,7,3,2,8,4,6,1]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[5,3,7,2,8,4,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[4,3,7,2,5,8,6,1]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[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]]=>16
[7,5,3,2,6,4,8,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[8,5,2,6,7,3,4,1]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[8,4,2,6,3,7,5,1]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[7,4,6,2,3,8,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[7,5,6,2,8,3,4,1]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[5,7,6,2,8,3,4,1]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[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]]=>16
[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]]=>20
[2,4,6,3,8,7,5,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[2,4,3,6,8,7,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>11
[2,4,6,3,8,7,1,5]=>[[1,2,3,5],[4,6],[7,8]]=>10
[2,4,6,5,8,7,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>10
[2,4,6,8,5,7,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[2,4,6,8,5,7,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>6
[2,4,6,8,3,7,1,5]=>[[1,2,3,4],[5,6],[7,8]]=>6
[2,4,6,8,1,7,3,5]=>[[1,2,3,4],[5,6,8],[7]]=>6
[2,4,6,5,8,3,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[2,4,6,5,8,1,7,3]=>[[1,2,3,5],[4,7],[6,8]]=>12
[2,4,6,8,5,1,7,3]=>[[1,2,3,4],[5,7],[6,8]]=>8
[2,4,6,8,7,3,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[2,4,6,8,7,1,5,3]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[2,4,6,8,7,1,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>7
[2,4,6,8,5,1,3,7]=>[[1,2,3,4],[5,7,8],[6]]=>7
[2,4,6,5,1,8,3,7]=>[[1,2,3,6],[4,7,8],[5]]=>8
[2,4,6,5,3,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[2,4,6,5,8,3,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[2,4,6,8,5,3,1,7]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[2,4,6,8,7,3,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[2,4,6,8,7,5,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[4,8,7,5,2,1,3,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[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]]=>13
[1,6,3,5,8,2,4,7]=>[[1,2,4,5],[3,7,8],[6]]=>12
[4,6,1,7,8,5,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[6,1,2,7,8,4,5,3]=>[[1,3,4,5],[2,6,7],[8]]=>11
[6,1,3,2,7,8,5,4]=>[[1,3,5,6],[2,7],[4,8]]=>16
[5,6,3,1,7,4,8,2]=>[[1,2,5,7],[3,6],[4,8]]=>12
[4,8,3,7,1,6,5,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>13
[8,7,2,6,5,1,4,3]=>[[1,4],[2,7],[3],[5],[6],[8]]=>23
[5,8,3,2,1,7,6,4]=>[[1,2],[3,6],[4,7],[5,8]]=>15
[5,4,3,8,1,7,6,2]=>[[1,4],[2,6],[3,7],[5,8]]=>20
[6,5,3,8,7,1,4,2]=>[[1,4],[2,5],[3,7],[6,8]]=>19
[4,3,8,2,7,6,5,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[4,8,2,7,6,5,3,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>16
[7,8,2,6,5,4,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[3,8,7,6,2,5,1,4]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[4,8,3,7,2,1,6,5]=>[[1,2],[3,4],[5,7],[6,8]]=>14
[8,6,3,1,7,5,4,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>17
[8,6,3,7,1,5,4,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[4,8,3,7,6,2,5,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>15
[5,8,2,7,6,4,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[8,4,2,1,7,6,5,3]=>[[1,5],[2,6],[3,7],[4],[8]]=>17
[1,6,4,2,5,3,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>10
[1,8,6,2,7,3,4,5]=>[[1,2,5,7,8],[3,6],[4]]=>10
[1,6,3,2,4,5,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>7
[1,5,2,6,4,3,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>11
[1,5,2,4,6,3,7,8]=>[[1,2,4,5,7,8],[3],[6]]=>10
[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]]=>11
[1,3,6,8,2,7,4,5]=>[[1,2,3,4],[5,6,8],[7]]=>6
[1,4,3,8,2,5,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>14
[1,7,2,3,8,5,4,6]=>[[1,2,4,5,8],[3,6],[7]]=>10
[1,3,8,4,2,5,6,7]=>[[1,2,3,6,7,8],[4],[5]]=>6
[1,6,2,8,5,4,3,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[1,7,2,3,8,6,4,5]=>[[1,2,4,5,8],[3,6],[7]]=>10
[1,5,3,8,2,7,4,6]=>[[1,2,4,8],[3,6],[5,7]]=>15
[1,4,8,2,5,6,3,7]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,5,7,3,2,8,4,6]=>[[1,2,3,6],[4,7,8],[5]]=>8
[1,2,7,3,6,8,4,5]=>[[1,2,3,5,6],[4,8],[7]]=>9
[1,7,2,3,6,8,4,5]=>[[1,2,4,5,6],[3,8],[7]]=>10
[1,4,8,3,2,5,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>9
[1,7,2,5,8,3,4,6]=>[[1,2,4,5,8],[3,7],[6]]=>12
[6,2,3,5,8,1,7,4]=>[[1,3,4,5],[2,7],[6,8]]=>14
[5,2,4,8,1,6,7,3]=>[[1,3,4,7],[2,6],[5,8]]=>17
[2,6,4,5,7,3,1,8]=>[[1,2,4,5,8],[3],[6],[7]]=>12
[2,5,6,3,4,7,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,3,7,5,6,8,4,2]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[1,3,6,7,4,5,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>6
[1,5,6,3,4,2,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[1,5,3,6,4,2,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>11
[1,5,3,7,4,6,2,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,5,7,3,6,4,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[2,5,7,4,1,3,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>10
[6,7,3,1,8,5,2,4]=>[[1,2,5],[3,6,8],[4,7]]=>12
[4,6,3,5,8,2,1,7]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[7,4,5,2,1,8,6,3]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[4,7,5,2,1,8,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[8,5,3,6,2,1,7,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[4,5,7,3,1,2,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>10
[4,5,1,8,3,2,7,6]=>[[1,2,4],[3,5,7],[6,8]]=>14
[5,7,4,6,3,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[3,6,1,2,4,8,7,5]=>[[1,2,5,6],[3,4,7],[8]]=>9
[2,5,3,8,4,1,7,6]=>[[1,2,4,7],[3,5],[6,8]]=>13
[7,5,2,3,1,8,6,4]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[6,3,1,2,4,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>11
[4,7,5,2,3,6,1,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[3,6,8,4,5,1,2,7]=>[[1,2,3,8],[4,5],[6,7]]=>7
[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]]=>18
[7,2,6,5,3,4,1,8]=>[[1,3,6,8],[2],[4],[5],[7]]=>20
[8,2,6,5,4,1,3,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[6,2,8,4,5,1,3,7]=>[[1,3,5,8],[2,4],[6,7]]=>17
[2,3,1,7,8,5,6,4]=>[[1,2,4,5],[3,6,7],[8]]=>10
[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]]=>19
[6,8,7,1,4,3,2,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[6,8,2,5,3,1,4,7]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[3,7,8,5,1,4,2,6]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[4,8,7,3,1,2,5,6]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[4,8,6,2,3,1,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[3,8,5,4,2,1,6,7]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[4,5,3,8,2,1,6,7]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[3,7,4,1,8,2,6,5]=>[[1,2,5],[3,6,7],[4,8]]=>11
[3,8,4,1,7,6,2,5]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[3,7,2,1,8,4,6,5]=>[[1,2,5],[3,6,7],[4,8]]=>11
[8,7,1,6,5,2,3,4]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[8,5,1,2,7,6,3,4]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[3,8,2,1,7,6,4,5]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[3,5,7,8,2,4,6,1]=>[[1,2,3,4],[5,6,7],[8]]=>5
[7,8,2,5,4,3,6,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[4,5,3,7,8,2,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[1,5,4,7,3,6,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[1,7,3,6,8,4,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[4,6,8,2,7,3,5,1]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[4,7,6,3,5,1,8,2]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[7,8,3,6,1,5,4,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>13
[2,5,7,8,4,6,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>6
[3,7,5,6,2,1,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[6,2,1,7,4,5,3,8]=>[[1,4,6,8],[2,5],[3,7]]=>15
[1,2,6,4,7,5,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>9
[7,5,6,3,8,4,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[8,5,4,2,1,6,7,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[2,6,8,4,7,5,1,3]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[6,7,5,1,4,8,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[7,4,1,6,5,3,8,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[5,8,2,7,3,6,4,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[1,6,5,7,3,8,4,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[1,5,6,8,4,2,7,3]=>[[1,2,3,4],[5,7],[6,8]]=>8
[7,5,4,1,8,2,6,3]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[6,4,1,8,2,7,5,3]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[7,8,5,3,2,6,1,4]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[8,2,5,1,7,6,4,3]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[6,7,4,3,8,2,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[3,4,2,7,8,6,1,5]=>[[1,2,4,5],[3,6],[7,8]]=>11
[7,8,6,1,4,3,2,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[2,4,7,8,6,1,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>7
[3,7,8,6,5,2,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[4,5,2,7,8,6,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[4,6,2,5,3,1,7,8]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[4,1,5,6,3,2,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>12
[2,6,7,5,4,1,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[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]]=>13
[1,7,5,6,4,3,2,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[7,6,5,3,1,8,4,2]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[7,8,6,4,3,1,5,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>15
[4,1,7,8,6,5,3,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[4,5,7,3,8,6,1,2]=>[[1,2,3,5],[4,6],[7,8]]=>10
[6,8,5,3,7,2,1,4]=>[[1,2],[3,5],[4,8],[6],[7]]=>18
[4,7,1,5,8,2,6,3]=>[[1,2,5],[3,4,7],[6,8]]=>13
[2,7,5,8,3,6,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[7,4,8,2,6,5,3,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[7,5,4,8,2,6,3,1]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[4,3,8,1,6,5,2,7]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[2,3,6,5,7,8,1,4]=>[[1,2,3,5,6],[4,8],[7]]=>9
[8,3,4,1,2,6,7,5]=>[[1,3,6,7],[2,5,8],[4]]=>18
[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]]=>15
[7,2,4,5,1,8,3,6]=>[[1,3,4,6],[2,7,8],[5]]=>14
[7,3,1,2,8,5,6,4]=>[[1,4,5,7],[2,6],[3,8]]=>13
[4,8,2,3,5,7,6,1]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[4,5,2,3,8,6,7,1]=>[[1,2,5,7],[3,4,6],[8]]=>11
[6,7,4,8,5,3,2,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[4,3,5,6,1,7,8,2]=>[[1,3,4,6,7],[2,8],[5]]=>13
[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]]=>13
[3,1,4,6,7,5,8,2]=>[[1,3,4,5,7],[2,6],[8]]=>12
[2,6,4,5,8,1,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>12
[6,4,1,3,5,8,2,7]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[3,4,1,7,2,6,8,5]=>[[1,2,4,7],[3,5,6],[8]]=>12
[2,4,7,5,8,1,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>11
[3,7,6,2,1,5,8,4]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[4,2,6,1,3,7,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>18
[8,5,4,2,7,6,3,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>17
[2,8,4,6,7,1,3,5]=>[[1,2,4,5],[3,7,8],[6]]=>12
[5,8,2,1,4,6,7,3]=>[[1,2,6,7],[3,5],[4,8]]=>13
[8,4,6,1,2,5,7,3]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[3,7,8,4,2,6,5,1]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[5,6,2,8,7,1,3,4]=>[[1,2,4],[3,5,8],[6,7]]=>13
[7,1,3,8,4,5,6,2]=>[[1,3,4,6,7],[2,5],[8]]=>13
[7,8,1,4,3,5,6,2]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[3,6,7,2,8,1,5,4]=>[[1,2,3,5],[4,7],[6,8]]=>12
[2,6,7,1,3,5,8,4]=>[[1,2,3,7],[4,5,6],[8]]=>7
[3,6,7,1,8,2,5,4]=>[[1,2,3,5],[4,6,7],[8]]=>9
[3,4,1,8,7,2,6,5]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[3,1,5,7,2,8,6,4]=>[[1,3,4,6],[2,5,7],[8]]=>14
[4,8,1,3,2,7,6,5]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[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]]=>13
[3,2,4,8,7,1,6,5]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[3,2,5,7,1,8,6,4]=>[[1,3,4,6],[2,7],[5,8]]=>15
[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]]=>16
[4,2,8,1,3,7,6,5]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[2,3,4,6,8,7,1,5]=>[[1,2,3,4,5],[6,8],[7]]=>5
[5,6,4,7,1,2,8,3]=>[[1,2,4,7],[3,6,8],[5]]=>15
[4,6,7,5,8,2,3,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[4,5,7,1,6,8,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[3,2,7,6,8,1,4,5]=>[[1,3,5],[2,4,8],[6,7]]=>18
[4,5,1,7,6,8,2,3]=>[[1,2,4,6],[3,5,8],[7]]=>14
[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]]=>12
[6,2,7,8,4,1,3,5]=>[[1,3,4],[2,5,8],[6,7]]=>14
[7,8,5,2,4,1,3,6]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[7,6,2,3,1,8,4,5]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[4,2,5,1,3,7,8,6]=>[[1,3,6,7],[2,5,8],[4]]=>18
[3,4,1,7,8,5,2,6]=>[[1,2,4,5],[3,6,8],[7]]=>11
[4,1,3,7,8,5,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>12
[4,3,1,8,5,2,7,6]=>[[1,4,7],[2,5,8],[3,6]]=>14
[7,6,3,5,8,4,2,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>20
[4,5,1,3,2,7,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>8
[5,1,3,2,4,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>14
[8,3,5,6,1,7,2,4]=>[[1,3,4,6],[2,7,8],[5]]=>14
[4,5,8,1,2,6,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>7
[5,3,6,7,8,2,1,4]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[1,3,4,8,6,2,7,5]=>[[1,2,3,4,7],[5,8],[6]]=>6
[7,2,4,1,3,8,5,6]=>[[1,3,6,8],[2,5,7],[4]]=>19
[8,4,5,2,6,1,7,3]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[4,6,8,2,3,7,5,1]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[4,5,7,2,3,6,1,8]=>[[1,2,3,8],[4,5,6],[7]]=>6
[2,7,3,4,1,5,6,8]=>[[1,2,4,6,7,8],[3],[5]]=>11
[6,7,2,3,4,8,1,5]=>[[1,2,5,6],[3,4,8],[7]]=>10
[3,5,2,4,6,7,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>8
[4,2,6,3,5,7,8,1]=>[[1,3,5,6,7],[2,4],[8]]=>14
[1,4,8,5,6,2,7,3]=>[[1,2,3,5,7],[4,8],[6]]=>10
[2,8,7,4,5,1,6,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[1,3,8,5,2,6,7,4]=>[[1,2,3,6,7],[4,8],[5]]=>7
[7,2,8,4,5,1,6,3]=>[[1,3,5,7],[2,4],[6,8]]=>18
[8,6,2,4,1,5,7,3]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[1,6,4,3,2,7,8,5]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[8,5,3,2,1,6,7,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[1,7,5,2,3,6,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>8
[7,1,5,2,3,6,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>14
[8,1,2,5,3,6,7,4]=>[[1,3,4,6,7],[2,8],[5]]=>13
[8,4,1,6,3,7,2,5]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[6,7,5,3,8,2,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[5,2,6,8,3,7,1,4]=>[[1,3,4],[2,5,6],[7,8]]=>13
[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]]=>15
[3,7,2,4,1,8,6,5]=>[[1,2,6],[3,4,7],[5,8]]=>10
[2,4,7,8,5,1,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>7
[2,5,3,8,4,1,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>11
[3,1,7,4,5,6,2,8]=>[[1,3,5,6,8],[2,4],[7]]=>15
[2,4,8,3,5,7,1,6]=>[[1,2,3,6],[4,5],[7,8]]=>9
[8,1,7,2,4,3,5,6]=>[[1,3,5,7,8],[2],[4],[6]]=>18
[1,3,8,2,4,7,5,6]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,3,7,2,4,6,5,8]=>[[1,2,3,6,8],[4,5],[7]]=>8
[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]]=>13
[8,7,3,1,4,2,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[2,8,4,3,5,7,1,6]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[3,2,8,7,4,1,5,6]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[3,2,1,7,4,6,5,8]=>[[1,4,6,8],[2,5],[3,7]]=>15
[3,2,6,5,1,7,8,4]=>[[1,3,6,7],[2,4],[5,8]]=>15
[5,3,2,6,7,1,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[3,2,8,6,7,4,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[8,4,6,2,7,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[4,3,8,6,7,2,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[4,3,6,2,8,7,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[3,8,4,7,6,5,1,2]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[7,8,4,2,6,3,5,1]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[3,2,7,8,6,4,5,1]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[3,2,7,5,6,8,4,1]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[5,7,8,6,3,2,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[6,5,4,2,1,7,8,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[5,4,2,1,7,6,3,8]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[4,1,6,5,2,7,8,3]=>[[1,3,6,7],[2,4,8],[5]]=>14
[5,4,1,6,7,2,8,3]=>[[1,4,5,7],[2,6,8],[3]]=>12
[6,8,5,3,1,7,2,4]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[5,2,6,3,8,7,1,4]=>[[1,3,5],[2,4,6],[7,8]]=>17
[8,6,1,7,3,4,2,5]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[1,8,3,6,7,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[1,6,3,5,2,7,8,4]=>[[1,2,4,6,7],[3,8],[5]]=>12
[1,5,7,3,2,6,4,8]=>[[1,2,3,8],[4,6],[5,7]]=>10
[5,1,3,7,2,6,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>16
[8,1,6,7,2,4,3,5]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[6,1,4,8,2,7,3,5]=>[[1,3,4,8],[2,6],[5,7]]=>16
[6,2,4,8,3,7,1,5]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[8,7,2,6,3,5,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[8,1,7,6,5,2,3,4]=>[[1,3,7,8],[2],[4],[5],[6]]=>18
[7,1,5,6,8,2,4,3]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[6,7,1,5,2,4,8,3]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[7,6,1,5,2,4,3,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>19
[7,1,6,3,5,4,2,8]=>[[1,3,5,8],[2],[4],[6],[7]]=>21
[1,6,7,3,5,4,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[1,7,3,5,6,8,4,2]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[1,7,8,3,6,4,5,2]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[1,8,7,6,4,5,2,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[8,2,7,4,6,5,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[2,8,5,7,6,4,1,3]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[7,4,5,1,6,8,3,2]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[4,1,7,5,6,8,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[5,6,7,4,3,1,8,2]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[6,7,8,5,3,1,4,2]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[1,4,6,2,5,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[1,6,3,2,5,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>10
[1,6,8,2,5,4,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[1,5,4,2,6,3,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>10
[1,2,6,4,3,5,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>6
[1,6,8,2,7,5,4,3]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[1,7,4,3,2,6,8,5]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[1,5,4,7,2,6,8,3]=>[[1,2,4,7],[3,6],[5,8]]=>16
[1,3,7,6,2,8,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[1,7,6,2,8,4,3,5]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[1,5,2,8,4,3,7,6]=>[[1,2,4,7],[3,5],[6,8]]=>13
[1,2,8,4,3,6,5,7]=>[[1,2,3,6,8],[4,7],[5]]=>8
[1,2,8,5,6,3,4,7]=>[[1,2,3,5,8],[4,7],[6]]=>11
[1,7,3,5,2,8,6,4]=>[[1,2,4,6],[3,7],[5,8]]=>14
[1,6,7,2,5,8,4,3]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[1,5,8,3,2,7,4,6]=>[[1,2,3,8],[4,6],[5,7]]=>10
[1,4,5,8,2,6,3,7]=>[[1,2,3,4,8],[5,6],[7]]=>5
[1,7,6,4,8,2,5,3]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[1,4,8,6,5,2,7,3]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[1,3,8,2,6,5,4,7]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[1,7,6,3,8,2,4,5]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[1,5,2,7,6,4,8,3]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[1,2,4,3,8,7,5,6]=>[[1,2,3,5,8],[4,6],[7]]=>9
[1,4,3,8,7,2,5,6]=>[[1,2,4,8],[3,5],[6,7]]=>12
[1,3,8,6,2,4,5,7]=>[[1,2,3,7,8],[4,6],[5]]=>9
[1,3,8,5,4,2,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[1,7,2,4,8,6,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[1,6,5,3,2,8,7,4]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[1,3,2,8,7,5,4,6]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[1,2,8,6,5,4,3,7]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[8,1,3,4,6,5,2,7]=>[[1,3,4,5,8],[2],[6],[7]]=>13
[8,3,1,4,6,5,2,7]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[5,8,3,1,2,6,4,7]=>[[1,2,6,8],[3,5],[4,7]]=>14
[4,8,1,7,5,2,3,6]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[4,8,1,7,5,2,6,3]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[8,5,1,4,2,6,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[8,4,1,3,5,6,2,7]=>[[1,4,5,6,8],[2],[3],[7]]=>12
[8,5,3,2,1,6,4,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[8,1,5,4,2,6,3,7]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[8,5,2,4,1,6,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[4,8,7,1,5,2,6,3]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[4,8,7,1,5,2,3,6]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[7,6,8,4,1,3,2,5]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[7,6,8,4,1,3,5,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[3,8,7,5,4,1,2,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[4,8,2,7,5,1,3,6]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[7,6,8,4,1,5,2,3]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[8,7,6,1,5,2,3,4]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[7,1,4,8,6,3,5,2]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[8,1,6,5,3,4,7,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>19
[8,6,2,5,3,4,7,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>18
[8,6,5,1,3,4,7,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[8,7,5,1,3,6,2,4]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[8,7,1,5,3,6,2,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[8,6,1,3,5,4,7,2]=>[[1,4,5,7],[2],[3],[6],[8]]=>17
[7,1,4,8,3,6,5,2]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[7,8,5,2,4,3,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[7,3,8,2,5,4,6,1]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[8,4,2,5,3,7,6,1]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[4,8,1,5,3,7,6,2]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[7,4,8,2,6,3,5,1]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[7,4,8,2,6,3,1,5]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[8,7,3,1,6,4,2,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[8,7,3,1,6,4,5,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[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]]=>17
[6,4,1,7,8,5,3,2]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[7,6,3,4,1,8,5,2]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[8,7,3,1,6,2,5,4]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[7,8,6,4,2,5,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[7,8,2,4,6,5,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[8,1,7,3,5,6,2,4]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[8,7,5,2,4,6,1,3]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[8,1,7,5,4,6,2,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[8,7,3,2,6,1,5,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>19
[5,3,1,7,6,4,2,8]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[7,5,3,2,1,6,4,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[7,6,5,3,1,4,2,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[1,8,6,4,3,2,7,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[1,8,7,6,4,2,5,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[8,4,6,7,5,3,2,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>21
[1,4,8,6,7,5,3,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>14
[7,6,2,5,8,4,3,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>20
[1,7,3,6,8,5,4,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[8,6,2,5,7,4,3,1]=>[[1,4,5],[2],[3],[6],[7],[8]]=>20
[7,1,3,6,8,5,4,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[1,8,3,6,7,5,4,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[8,1,7,6,4,5,3,2]=>[[1,3,6],[2],[4],[5],[7],[8]]=>24
[7,1,8,6,4,5,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[1,6,2,7,4,5,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,8,2,6,4,3,5,7]=>[[1,2,4,7,8],[3],[5],[6]]=>13
[1,7,2,6,4,3,5,8]=>[[1,2,4,7,8],[3],[5],[6]]=>13
[1,7,2,5,4,6,3,8]=>[[1,2,4,6,8],[3],[5],[7]]=>15
[6,5,7,2,8,3,4,1]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[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]]=>13
[6,5,7,3,8,1,4,2]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[6,3,7,4,8,2,5,1]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[6,3,7,4,8,1,5,2]=>[[1,3,5],[2,4,7],[6,8]]=>19
[6,7,5,1,4,3,8,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[7,8,5,1,4,3,6,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[7,2,1,5,3,8,6,4]=>[[1,4,6],[2,5,7],[3,8]]=>15
[5,8,2,7,6,1,3,4]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[5,1,8,7,3,4,2,6]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[8,2,3,6,7,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>13
[4,2,3,1,5,8,6,7]=>[[1,3,5,6,8],[2,7],[4]]=>15
[2,4,8,7,5,3,1,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[2,6,8,7,5,3,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[2,6,5,1,4,3,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[6,5,1,2,4,3,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[4,6,5,3,1,2,8,7]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[4,8,7,5,3,1,2,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[4,6,8,7,5,3,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[6,8,7,5,3,1,4,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>15
[8,7,5,6,3,1,4,2]=>[[1,4],[2,7],[3,8],[5],[6]]=>20
[8,7,3,4,6,5,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[2,1,4,8,7,3,6,5]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[4,8,7,3,1,2,6,5]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[8,7,3,4,1,2,6,5]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[8,7,3,1,6,5,2,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[8,7,3,2,6,5,1,4]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[2,8,7,3,4,6,5,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[2,8,7,3,6,5,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[2,8,7,1,6,5,3,4]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[8,7,1,2,6,5,3,4]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[8,7,1,2,4,3,6,5]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[2,1,8,7,3,4,6,5]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[8,7,5,1,2,4,3,6]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[2,8,7,1,4,3,6,5]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[2,8,7,3,4,1,6,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[2,8,7,5,6,3,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[2,4,8,7,3,1,6,5]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[2,8,7,3,1,4,6,5]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[2,4,3,1,8,7,5,6]=>[[1,2,5,8],[3,6],[4,7]]=>11
[4,3,1,2,6,8,7,5]=>[[1,4,5,6],[2,7],[3,8]]=>11
[2,8,7,5,6,3,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[2,8,7,5,3,1,6,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[2,8,7,5,3,6,4,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[2,8,7,5,6,1,4,3]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[2,6,8,7,5,1,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[6,8,7,5,1,2,4,3]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[8,7,5,6,1,2,4,3]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[8,7,1,2,4,6,5,3]=>[[1,4,5,6],[2],[3],[7],[8]]=>15
[2,4,8,7,3,6,5,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[8,7,2,4,3,6,5,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[4,8,7,1,2,6,5,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[8,7,5,3,1,2,6,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[8,7,5,3,6,4,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[8,7,1,4,3,6,5,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[8,7,3,4,1,6,5,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[7,1,2,3,5,4,6,8]=>[[1,3,4,5,7,8],[2],[6]]=>11
[7,1,2,6,4,5,3,8]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[7,1,2,4,3,5,6,8]=>[[1,3,4,6,7,8],[2],[5]]=>12
[4,7,3,6,5,1,2,8]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[7,5,4,2,8,3,1,6]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[8,3,6,1,5,2,4,7]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[3,1,6,8,5,7,2,4]=>[[1,3,4],[2,5,6],[7,8]]=>13
[5,7,2,1,8,4,6,3]=>[[1,2,5],[3,6,7],[4,8]]=>11
[7,2,8,6,4,3,1,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[6,3,8,7,4,2,1,5]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[7,6,3,2,8,4,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[8,6,1,3,2,4,5,7]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[5,8,3,7,4,2,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[4,1,7,3,5,8,6,2]=>[[1,3,5,6],[2,4,7],[8]]=>15
[8,4,7,3,5,2,1,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[5,4,8,1,3,2,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[4,5,8,2,1,3,6,7]=>[[1,2,3,8],[4,6,7],[5]]=>9
[8,1,3,5,2,4,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>15
[1,8,3,5,7,2,4,6]=>[[1,2,4,5],[3,7,8],[6]]=>12
[8,1,4,2,7,6,3,5]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[1,5,7,3,6,8,2,4]=>[[1,2,3,6],[4,5],[7,8]]=>9
[8,4,6,2,5,7,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[1,3,4,7,6,8,2,5]=>[[1,2,3,4,6],[5,8],[7]]=>8
[8,1,3,6,7,4,2,5]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[1,2,4,7,8,5,3,6]=>[[1,2,3,4,5],[6,8],[7]]=>5
[3,1,4,7,6,8,2,5]=>[[1,3,4,6],[2,5,8],[7]]=>15
[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]]=>16
[6,7,8,2,4,5,1,3]=>[[1,2,3],[4,5,6],[7,8]]=>7
[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]]=>13
[2,8,3,6,7,4,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[8,7,2,5,6,3,1,4]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[8,7,1,6,4,3,2,5]=>[[1,4,8],[2],[3],[5],[6],[7]]=>21
[1,8,2,7,5,4,3,6]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[3,8,1,7,5,4,2,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[5,8,6,1,7,3,2,4]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[6,7,1,2,8,4,3,5]=>[[1,2,5,8],[3,4,6],[7]]=>10
[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]]=>17
[1,3,2,8,6,5,4,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[3,4,1,7,6,8,2,5]=>[[1,2,4,6],[3,5,8],[7]]=>14
[2,5,7,1,8,4,3,6]=>[[1,2,3,5],[4,6,8],[7]]=>10
[3,5,7,1,6,8,2,4]=>[[1,2,3,6],[4,5,8],[7]]=>9
[4,5,7,6,1,8,2,3]=>[[1,2,3,6],[4,7,8],[5]]=>8
[5,4,7,6,8,3,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[1,5,7,8,6,3,2,4]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[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]]=>22
[1,4,8,6,7,3,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[2,4,8,6,7,3,1,5]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[5,2,7,8,6,3,1,4]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[2,3,8,7,5,4,1,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[1,3,8,7,5,4,2,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[8,2,7,6,4,3,1,5]=>[[1,3,8],[2],[4],[5],[6],[7]]=>22
[8,1,7,6,4,3,2,5]=>[[1,3,8],[2],[4],[5],[6],[7]]=>22
[4,1,8,6,7,3,2,5]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[4,8,7,5,6,2,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[1,5,8,4,3,7,6,2]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[8,1,7,2,5,6,4,3]=>[[1,3,5,6],[2],[4],[7],[8]]=>20
[8,1,3,5,2,7,6,4]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[2,7,1,5,4,8,6,3]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[8,6,2,4,3,7,5,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[2,4,1,6,7,5,8,3]=>[[1,2,4,5,7],[3,6],[8]]=>11
[8,1,4,5,6,3,7,2]=>[[1,3,4,5,7],[2],[6],[8]]=>14
[8,1,4,5,6,2,7,3]=>[[1,3,4,5,7],[2,8],[6]]=>12
[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]]=>12
[3,5,6,2,8,7,4,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[2,4,5,1,7,6,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>9
[7,3,1,5,6,4,2,8]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[8,3,2,5,6,7,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[8,4,5,3,7,6,2,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[3,4,5,6,2,8,1,7]=>[[1,2,3,4,6],[5,8],[7]]=>8
[3,7,4,2,8,5,1,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[7,3,4,1,6,8,2,5]=>[[1,3,5,6],[2,7,8],[4]]=>15
[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]]=>13
[7,3,4,1,6,5,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[3,7,4,2,5,8,6,1]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[2,3,5,1,4,8,7,6]=>[[1,2,3,6],[4,5,7],[8]]=>8
[2,7,1,3,6,8,5,4]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[2,7,1,3,8,4,6,5]=>[[1,2,5,7],[3,4,6],[8]]=>11
[3,8,7,1,6,2,5,4]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[3,8,7,1,4,5,2,6]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[3,7,4,2,1,8,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[4,8,5,7,2,6,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[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]]=>19
[8,6,7,2,1,4,3,5]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[8,3,7,5,1,2,6,4]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[7,3,4,6,2,1,5,8]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[3,7,4,6,1,5,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[3,4,7,6,1,2,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>10
[4,5,8,7,6,1,3,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[8,7,3,5,6,1,4,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[8,5,2,7,6,1,3,4]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[8,4,2,5,1,6,7,3]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[8,5,3,1,6,4,7,2]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[8,7,3,1,4,5,6,2]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[8,5,3,7,1,6,4,2]=>[[1,4],[2,6],[3,7],[5],[8]]=>21
[7,6,3,8,1,4,2,5]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[7,4,8,2,6,1,5,3]=>[[1,3],[2,5],[4,7],[6,8]]=>24
[6,4,7,3,1,5,2,8]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[8,5,3,1,6,4,2,7]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[8,7,5,1,2,6,3,4]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[8,6,4,1,2,7,5,3]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[8,7,4,1,2,5,3,6]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[6,5,3,7,4,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[1,6,3,8,4,2,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>11
[4,7,2,5,3,6,1,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[1,8,3,4,5,2,6,7]=>[[1,2,4,5,7,8],[3],[6]]=>10
[1,8,6,4,2,5,3,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[8,2,6,4,1,5,7,3]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[7,8,3,4,6,1,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[4,8,7,5,3,1,6,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[6,1,4,8,3,2,5,7]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[4,1,8,5,3,2,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[8,1,6,4,2,7,3,5]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[3,1,7,4,2,5,8,6]=>[[1,3,6,7],[2,4,8],[5]]=>14
[1,2,7,4,3,5,6,8]=>[[1,2,3,6,7,8],[4],[5]]=>6
[6,1,8,5,2,4,3,7]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[6,8,2,5,1,4,7,3]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[4,5,2,1,6,8,7,3]=>[[1,2,5,6],[3,7],[4,8]]=>10
[7,2,8,6,5,1,4,3]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[7,4,8,6,1,5,3,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[8,7,2,6,1,4,5,3]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[1,7,8,6,2,4,3,5]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[7,6,3,1,2,5,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[8,5,3,1,2,4,7,6]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[8,2,1,6,5,3,4,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[3,8,1,5,6,2,4,7]=>[[1,2,5,8],[3,4,7],[6]]=>12
[6,8,4,1,5,2,3,7]=>[[1,2,7,8],[3,5],[4,6]]=>12
[3,2,8,1,6,4,5,7]=>[[1,3,7,8],[2,5],[4,6]]=>18
[5,2,1,3,7,6,4,8]=>[[1,4,5,8],[2,6],[3,7]]=>12
[5,4,1,2,8,3,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>13
[5,8,4,1,2,3,7,6]=>[[1,2,6,7],[3,5],[4,8]]=>13
[7,1,2,5,3,4,6,8]=>[[1,3,4,6,7,8],[2],[5]]=>12
[1,6,7,3,2,8,4,5]=>[[1,2,3,6],[4,7,8],[5]]=>8
[1,8,6,3,2,7,4,5]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[1,4,6,2,8,5,3,7]=>[[1,2,3,5],[4,6,8],[7]]=>10
[1,5,6,2,8,4,3,7]=>[[1,2,3,5],[4,6,8],[7]]=>10
[1,2,5,7,4,6,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>6
[3,5,8,6,1,7,2,4]=>[[1,2,3,6],[4,7,8],[5]]=>8
[2,3,7,1,8,6,4,5]=>[[1,2,3,5],[4,6,8],[7]]=>10
[2,6,1,7,8,5,3,4]=>[[1,2,4,5],[3,6,8],[7]]=>11
[4,8,3,1,6,5,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[1,6,8,5,4,2,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[6,5,8,4,2,1,7,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[1,7,8,6,5,4,2,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[6,8,7,4,5,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>19
[3,6,4,2,5,1,8,7]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[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]]=>19
[5,7,2,3,4,6,8,1]=>[[1,2,5,6,7],[3,4],[8]]=>8
[1,8,7,3,2,5,6,4]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[5,7,1,2,3,8,6,4]=>[[1,2,5,6],[3,4,7],[8]]=>9
[7,8,6,2,4,1,5,3]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[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]]=>21
[7,1,5,8,2,3,6,4]=>[[1,3,4,7],[2,6],[5,8]]=>17
[7,6,4,8,2,1,5,3]=>[[1,4],[2,7],[3,8],[5],[6]]=>20
[6,1,8,4,2,3,5,7]=>[[1,3,6,7,8],[2,4],[5]]=>13
[7,3,6,2,1,8,5,4]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[1,8,6,4,2,5,7,3]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[5,6,2,1,8,4,7,3]=>[[1,2,5],[3,6,7],[4,8]]=>11
[2,8,1,6,5,7,3,4]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[5,1,6,4,3,8,7,2]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[5,4,6,8,1,3,7,2]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[3,7,1,6,4,5,8,2]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[3,5,2,1,4,6,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>11
[1,3,8,7,5,4,6,2]=>[[1,2,3,7],[4],[5],[6],[8]]=>12
[6,7,3,4,8,5,1,2]=>[[1,2,5],[3,4,6],[7,8]]=>11
[7,4,1,8,2,5,6,3]=>[[1,4,6,7],[2,5],[3,8]]=>14
[3,1,7,2,5,6,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>14
[4,1,5,7,3,2,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>13
[6,4,1,7,2,8,5,3]=>[[1,4,6],[2,5,7],[3,8]]=>15
[7,3,1,6,2,8,5,4]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[4,8,2,5,3,1,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[5,1,3,4,8,2,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>13
[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]]=>15
[7,1,3,4,5,6,8,2]=>[[1,3,4,5,6,7],[2],[8]]=>9
[8,5,2,7,6,3,1,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[1,8,3,5,6,2,7,4]=>[[1,2,4,5,7],[3,8],[6]]=>11
[8,3,2,5,6,1,7,4]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[4,2,5,1,6,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>16
[5,4,2,7,8,6,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[6,8,7,2,1,3,4,5]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[3,7,6,8,5,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[1,7,8,5,2,6,3,4]=>[[1,2,3,8],[4,6],[5,7]]=>10
[7,6,1,2,5,3,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[7,6,2,4,8,1,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[1,5,7,3,8,6,2,4]=>[[1,2,3,5],[4,6],[7,8]]=>10
[6,7,5,1,8,2,3,4]=>[[1,2,5,8],[3,6,7],[4]]=>10
[7,6,1,2,4,3,8,5]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[6,7,2,1,5,3,8,4]=>[[1,2,7],[3,5,8],[4,6]]=>13
[4,3,2,8,7,1,6,5]=>[[1,4],[2,5],[3,7],[6,8]]=>19
[4,8,3,1,7,6,5,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[5,3,8,7,1,6,4,2]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[5,8,7,3,1,6,4,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[5,3,8,2,1,7,6,4]=>[[1,3],[2,6],[4,7],[5,8]]=>21
[3,8,7,2,6,5,1,4]=>[[1,2],[3,5],[4,8],[6],[7]]=>18
[7,4,1,8,6,5,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[5,4,2,8,1,7,6,3]=>[[1,4],[2,6],[3,7],[5,8]]=>20
[5,8,4,2,1,7,6,3]=>[[1,2],[3,6],[4,7],[5,8]]=>15
[5,8,4,7,1,6,3,2]=>[[1,2],[3,4],[5,6],[7],[8]]=>13
[5,4,8,3,1,7,6,2]=>[[1,3],[2,6],[4,7],[5,8]]=>21
[8,5,6,1,4,7,2,3]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[6,7,4,1,2,5,8,3]=>[[1,2,6,7],[3,5],[4,8]]=>13
[1,6,7,4,2,5,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>11
[3,6,7,5,8,1,2,4]=>[[1,2,3,5],[4,7,8],[6]]=>11
[1,6,7,5,8,3,2,4]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[3,8,6,5,7,4,1,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[5,2,1,6,8,4,7,3]=>[[1,4,5],[2,6,7],[3,8]]=>12
[6,5,8,7,4,2,3,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[6,8,5,7,4,2,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[4,7,5,3,6,1,2,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[4,7,5,3,1,6,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[2,7,5,3,6,4,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[4,7,5,3,8,1,6,2]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[4,7,5,3,6,8,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[2,7,5,6,3,8,4,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[8,7,5,3,1,4,6,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[2,7,5,3,1,4,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[5,7,6,2,8,3,1,4]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[5,1,6,3,2,4,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>14
[5,7,6,1,8,3,2,4]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[3,8,7,2,1,5,4,6]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[6,1,7,2,8,4,3,5]=>[[1,3,5,8],[2,4,6],[7]]=>16
[3,7,6,2,8,5,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[6,1,7,3,8,5,2,4]=>[[1,3,5],[2,4,6],[7,8]]=>17
[7,1,8,3,2,5,4,6]=>[[1,3,6,8],[2,4],[5,7]]=>16
[2,7,8,3,1,5,4,6]=>[[1,2,3,8],[4,6],[5,7]]=>10
[5,8,6,2,7,4,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[2,4,6,7,8,5,1,3]=>[[1,2,3,4,5],[6,8],[7]]=>5
[2,4,6,7,8,3,1,5]=>[[1,2,3,4,5],[6,8],[7]]=>5
[4,7,6,2,8,5,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[5,8,7,3,2,4,1,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[4,6,5,8,7,3,1,2]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[8,3,1,7,2,6,4,5]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[4,5,1,2,8,7,3,6]=>[[1,2,5,8],[3,4,6],[7]]=>10
[5,6,1,2,8,3,7,4]=>[[1,2,5,7],[3,4,6],[8]]=>11
[5,8,7,1,6,2,4,3]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[8,4,5,1,7,6,2,3]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[6,3,1,4,8,2,7,5]=>[[1,4,5],[2,6,7],[3,8]]=>12
[8,5,6,1,7,2,4,3]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[7,5,6,1,3,8,4,2]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[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]]=>10
[1,5,7,8,4,2,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>7
[1,3,6,4,2,5,7,8]=>[[1,2,3,6,7,8],[4],[5]]=>6
[1,4,5,7,8,3,6,2]=>[[1,2,3,4,5],[6,7],[8]]=>4
[1,5,7,8,3,6,2,4]=>[[1,2,3,4],[5,6],[7,8]]=>6
[1,5,7,8,2,4,3,6]=>[[1,2,3,4],[5,6,8],[7]]=>6
[6,8,4,7,3,2,1,5]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[6,8,5,4,2,7,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[1,8,4,6,3,2,7,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[6,4,8,5,3,2,1,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[3,5,6,1,4,2,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[1,6,3,8,4,2,7,5]=>[[1,2,4,7],[3,5],[6,8]]=>13
[7,1,3,2,4,6,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>14
[2,6,5,7,8,3,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[4,1,8,2,6,7,5,3]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[3,6,7,8,2,1,4,5]=>[[1,2,3,4],[5,7,8],[6]]=>7
[2,5,7,1,6,3,4,8]=>[[1,2,3,8],[4,5,7],[6]]=>8
[4,2,8,3,6,5,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[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]]=>15
[2,5,6,3,4,8,1,7]=>[[1,2,3,6],[4,5,8],[7]]=>9
[5,2,4,7,8,6,1,3]=>[[1,3,4,5],[2,6],[7,8]]=>12
[7,2,1,3,4,8,5,6]=>[[1,4,5,6,8],[2,7],[3]]=>10
[2,4,5,7,1,8,6,3]=>[[1,2,3,4,6],[5,7],[8]]=>7
[8,1,6,2,3,4,7,5]=>[[1,3,5,6,7],[2,8],[4]]=>14
[6,1,4,2,5,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>14
[1,8,3,4,5,2,7,6]=>[[1,2,4,5,7],[3,8],[6]]=>11
[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]]=>8
[7,3,5,8,2,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[3,4,8,6,7,2,1,5]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[3,4,8,2,5,1,7,6]=>[[1,2,3,7],[4,5],[6,8]]=>8
[1,7,2,5,8,4,3,6]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[1,4,6,7,8,3,5,2]=>[[1,2,3,4,5],[6,7],[8]]=>4
[4,1,5,3,6,8,7,2]=>[[1,3,5,6],[2,4,7],[8]]=>15
[5,8,7,4,6,2,3,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>19
[1,6,8,3,5,2,7,4]=>[[1,2,3,7],[4,5],[6,8]]=>8
[7,2,1,8,6,4,5,3]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[2,4,7,8,5,6,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>6
[2,6,3,8,5,1,7,4]=>[[1,2,4,7],[3,5],[6,8]]=>13
[2,8,5,4,1,3,7,6]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[5,4,6,3,1,7,2,8]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[4,3,6,5,1,8,2,7]=>[[1,3,6],[2,4,8],[5,7]]=>17
[1,5,6,8,7,3,2,4]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[1,4,8,3,6,5,2,7]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[1,3,8,6,4,7,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[1,2,8,6,4,3,7,5]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[4,1,7,6,8,3,2,5]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[1,8,4,7,6,2,3,5]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[7,2,3,8,4,5,6,1]=>[[1,3,4,6,7],[2,5],[8]]=>13
[5,8,4,3,7,2,1,6]=>[[1,2],[3,5],[4,8],[6],[7]]=>18
[6,1,2,8,7,3,4,5]=>[[1,3,4,7,8],[2,5],[6]]=>12
[4,5,1,7,6,2,8,3]=>[[1,2,4,7],[3,5,8],[6]]=>12
[6,5,1,8,7,4,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[7,5,1,8,6,4,3,2]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[8,5,1,7,6,4,3,2]=>[[1,4],[2,5],[3],[6],[7],[8]]=>21
[8,5,3,7,6,1,4,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[3,8,7,6,1,5,4,2]=>[[1,2],[3,6],[4],[5],[7],[8]]=>19
[8,3,7,5,4,1,6,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[4,5,3,1,8,7,2,6]=>[[1,2,5],[3,6,8],[4,7]]=>12
[3,4,8,1,5,2,6,7]=>[[1,2,3,7,8],[4,5],[6]]=>6
[8,6,5,7,1,3,2,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[1,5,8,6,2,7,4,3]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[3,1,8,5,7,2,6,4]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[6,8,5,3,4,2,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[8,5,2,6,4,3,1,7]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[8,5,2,6,1,4,7,3]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[2,7,5,8,1,4,6,3]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[3,2,6,7,1,8,5,4]=>[[1,3,4,6],[2,7],[5,8]]=>15
[3,4,6,7,8,2,1,5]=>[[1,2,3,4,5],[6,8],[7]]=>5
[3,2,6,7,8,4,1,5]=>[[1,3,4,5],[2,6,8],[7]]=>12
[6,2,7,4,8,5,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>17
[6,7,1,3,8,5,4,2]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[6,7,1,8,5,2,4,3]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[1,6,7,4,8,3,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[1,4,6,7,8,3,2,5]=>[[1,2,3,4,5],[6,8],[7]]=>5
[8,7,2,1,5,4,6,3]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[2,7,4,8,6,5,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[7,6,5,2,4,1,8,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[7,6,4,3,1,5,8,2]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[6,1,8,7,2,3,5,4]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[8,6,1,2,7,3,4,5]=>[[1,4,5,7,8],[2,6],[3]]=>11
[3,6,8,2,7,1,5,4]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[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]]=>18
[3,2,6,4,8,7,5,1]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[4,7,2,8,6,5,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[4,7,1,8,6,5,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[2,7,4,8,3,6,1,5]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[4,7,3,8,6,1,5,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[4,3,6,8,7,2,5,1]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[4,3,8,2,5,7,6,1]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[4,1,2,6,8,7,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[3,1,6,4,8,7,2,5]=>[[1,3,5],[2,4,6],[7,8]]=>17
[4,1,6,8,7,5,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[3,8,1,4,5,7,2,6]=>[[1,2,5,6],[3,4,8],[7]]=>10
[3,8,1,4,2,5,7,6]=>[[1,2,6,7],[3,4,8],[5]]=>8
[4,1,8,3,5,2,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>18
[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]]=>12
[4,2,8,3,5,1,7,6]=>[[1,3,5,7],[2,4],[6,8]]=>18
[4,2,8,3,5,7,6,1]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[3,8,2,4,5,7,6,1]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[3,8,2,5,1,4,7,6]=>[[1,2,7],[3,4,8],[5,6]]=>9
[4,2,8,5,7,1,3,6]=>[[1,3,5],[2,4,8],[6,7]]=>18
[3,8,1,5,2,4,7,6]=>[[1,2,6,7],[3,4,8],[5]]=>8
[7,5,6,4,1,3,2,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[7,8,6,4,1,3,2,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[7,1,4,2,5,6,3,8]=>[[1,3,5,6,8],[2,7],[4]]=>15
[7,3,2,1,4,6,5,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[7,6,1,4,3,2,5,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[7,4,1,3,5,6,2,8]=>[[1,4,5,6,8],[2],[3],[7]]=>12
[2,7,1,3,5,6,8,4]=>[[1,2,5,6,7],[3,4],[8]]=>8
[3,6,2,1,5,8,7,4]=>[[1,2,6],[3,5,7],[4,8]]=>14
[2,3,6,1,5,8,7,4]=>[[1,2,3,6],[4,5,7],[8]]=>8
[3,4,7,1,5,6,8,2]=>[[1,2,3,6,7],[4,5],[8]]=>7
[3,6,7,4,1,2,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>10
[4,3,2,7,1,6,8,5]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[7,3,2,8,1,6,4,5]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[7,4,8,1,5,6,3,2]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[2,6,8,1,5,3,7,4]=>[[1,2,3],[4,5,7],[6,8]]=>9
[6,8,2,1,5,3,7,4]=>[[1,2,7],[3,5,8],[4,6]]=>13
[4,8,2,5,3,6,7,1]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[4,5,8,2,3,6,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>7
[2,4,8,5,3,6,7,1]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[5,3,2,6,4,8,7,1]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[2,4,5,3,8,6,7,1]=>[[1,2,3,5,7],[4,6],[8]]=>10
[4,3,5,2,8,6,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[4,8,5,3,2,6,7,1]=>[[1,2,6,7],[3],[4],[5],[8]]=>13
[3,5,4,2,8,6,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[4,1,2,7,5,6,8,3]=>[[1,3,4,6,7],[2,5],[8]]=>13
[5,6,7,4,2,8,3,1]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[2,5,7,4,6,8,3,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[7,5,2,4,3,8,6,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[6,8,1,2,5,4,7,3]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[6,4,1,8,5,2,7,3]=>[[1,4,7],[2,5,8],[3,6]]=>14
[2,6,1,8,5,4,7,3]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[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]]=>13
[3,7,6,4,8,5,2,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[3,1,6,8,5,4,7,2]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[2,3,5,8,4,6,7,1]=>[[1,2,3,4,7],[5,6],[8]]=>6
[3,5,2,8,4,6,7,1]=>[[1,2,4,7],[3,5,6],[8]]=>12
[3,4,5,8,2,6,7,1]=>[[1,2,3,4,7],[5,6],[8]]=>6
[5,4,2,8,3,6,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[5,3,4,8,2,6,7,1]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[2,5,4,8,3,6,7,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[6,3,2,5,8,4,7,1]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[6,1,8,3,5,4,7,2]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[5,4,8,3,2,6,7,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[5,8,2,3,4,6,7,1]=>[[1,2,5,6,7],[3,4],[8]]=>8
[6,2,1,7,8,5,4,3]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[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]]=>11
[7,5,6,1,2,3,8,4]=>[[1,3,6,7],[2,5,8],[4]]=>18
[1,5,7,6,3,2,8,4]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[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]]=>19
[7,5,2,1,4,3,8,6]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[3,1,7,8,5,4,2,6]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[3,4,5,2,1,8,6,7]=>[[1,2,3,6,8],[4,7],[5]]=>8
[7,6,4,8,3,1,2,5]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[7,4,8,5,6,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>18
[6,2,8,5,1,3,4,7]=>[[1,3,7,8],[2,4],[5,6]]=>14
[3,2,7,8,6,1,4,5]=>[[1,3,4],[2,5,8],[6,7]]=>14
[6,8,2,5,1,3,7,4]=>[[1,2,7],[3,4,8],[5,6]]=>9
[6,7,4,2,1,5,3,8]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[5,7,4,1,3,6,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[4,2,7,5,1,8,3,6]=>[[1,3,6],[2,4,8],[5,7]]=>17
[4,1,6,5,3,8,2,7]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[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]]=>16
[4,7,1,8,6,3,5,2]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[5,4,8,1,7,3,6,2]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[4,3,8,6,2,1,7,5]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[8,3,6,2,4,1,7,5]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[7,8,3,2,4,6,5,1]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[7,2,8,5,3,1,6,4]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[2,5,4,8,7,3,6,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[6,4,2,8,7,3,1,5]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[3,6,8,1,7,4,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[7,8,6,3,1,4,5,2]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[3,8,6,1,7,5,2,4]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[2,7,5,4,8,3,1,6]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[6,8,7,5,2,1,3,4]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[7,6,2,8,5,1,3,4]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[1,5,7,6,2,8,4,3]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[1,6,5,2,7,8,4,3]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[4,7,8,5,6,2,3,1]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[6,7,8,4,2,1,5,3]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[4,7,8,1,2,5,6,3]=>[[1,2,3,7],[4,5,6],[8]]=>7
[8,6,4,1,2,5,7,3]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[6,1,4,7,2,5,8,3]=>[[1,3,4,7],[2,6],[5,8]]=>17
[6,7,8,3,5,4,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[5,6,3,2,7,4,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[2,6,4,3,7,5,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[7,2,3,6,1,8,4,5]=>[[1,3,4,6],[2,7,8],[5]]=>14
[3,4,6,5,7,1,2,8]=>[[1,2,3,5,8],[4,7],[6]]=>11
[7,6,2,3,5,4,8,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>17
[8,5,2,4,3,6,1,7]=>[[1,4,6,8],[2],[3],[5],[7]]=>19
[8,5,7,2,4,1,6,3]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[7,4,8,2,1,5,6,3]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[2,3,6,7,8,5,1,4]=>[[1,2,3,4,5],[6,8],[7]]=>5
[8,3,7,1,6,4,2,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[8,2,1,7,6,5,3,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[6,5,1,2,8,3,4,7]=>[[1,4,5,7,8],[2,6],[3]]=>11
[5,6,8,1,3,7,2,4]=>[[1,2,3],[4,5,6],[7,8]]=>7
[1,6,8,5,3,2,4,7]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[5,8,1,6,7,4,2,3]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[7,2,8,4,6,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>18
[6,2,7,4,3,8,1,5]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[1,7,8,4,6,2,3,5]=>[[1,2,3,8],[4,5],[6,7]]=>7
[7,1,8,4,6,2,3,5]=>[[1,3,5,8],[2,4],[6,7]]=>17
[8,1,6,5,4,7,2,3]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[4,1,6,8,7,3,2,5]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[5,1,4,6,7,3,8,2]=>[[1,3,4,5,7],[2],[6],[8]]=>14
[7,1,3,4,6,2,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>12
[8,7,1,4,6,3,2,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[1,4,7,5,8,6,3,2]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[6,1,8,3,4,7,2,5]=>[[1,3,5,6],[2,4],[7,8]]=>16
[1,8,6,3,5,2,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[4,7,1,6,8,3,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[3,6,5,2,8,4,1,7]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[7,1,8,4,2,5,3,6]=>[[1,3,6,8],[2,4],[5,7]]=>16
[1,4,8,7,5,2,6,3]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[1,5,6,4,2,3,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>9
[5,8,7,4,2,1,3,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[1,8,7,3,2,5,4,6]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[1,2,5,4,8,7,3,6]=>[[1,2,3,5],[4,6],[7,8]]=>10
[1,2,4,8,6,3,5,7]=>[[1,2,3,4,8],[5,7],[6]]=>7
[1,5,2,4,7,3,8,6]=>[[1,2,4,5,7],[3,8],[6]]=>11
[8,6,3,5,7,4,1,2]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[8,5,3,2,1,4,7,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[1,2,7,6,8,4,3,5]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[1,6,3,2,5,7,8,4]=>[[1,2,5,6,7],[3,8],[4]]=>8
[1,7,3,4,2,6,8,5]=>[[1,2,4,6,7],[3,8],[5]]=>12
[1,6,3,5,8,4,2,7]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[1,5,6,3,2,8,4,7]=>[[1,2,3,6],[4,7,8],[5]]=>8
[1,2,5,8,4,6,3,7]=>[[1,2,3,4,8],[5,6],[7]]=>5
[1,5,3,2,7,8,4,6]=>[[1,2,5,6],[3,7,8],[4]]=>9
[4,1,8,6,2,3,7,5]=>[[1,3,6,7],[2,4,8],[5]]=>14
[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]]=>14
[1,8,5,7,6,3,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[1,4,7,3,6,8,5,2]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[1,6,3,5,7,8,4,2]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[1,5,6,3,2,7,8,4]=>[[1,2,3,6,7],[4,8],[5]]=>7
[1,2,7,6,8,4,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[1,8,4,7,5,3,2,6]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[6,8,5,2,1,7,4,3]=>[[1,2],[3,6],[4,7],[5,8]]=>15
[1,2,6,8,4,3,7,5]=>[[1,2,3,4],[5,7],[6,8]]=>8
[5,3,7,2,6,4,1,8]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[7,6,2,5,3,4,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>19
[7,6,2,4,5,3,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[7,6,2,4,3,5,1,8]=>[[1,4,6,8],[2],[3],[5],[7]]=>19
[7,6,2,3,5,4,1,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[8,4,2,7,1,6,3,5]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[8,7,6,1,5,3,2,4]=>[[1,5,8],[2],[3],[4],[6],[7]]=>20
[8,7,6,1,4,3,5,2]=>[[1,5,7],[2],[3],[4],[6],[8]]=>21
[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]]=>20
[8,6,2,7,1,5,3,4]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[5,3,7,2,8,1,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[8,3,5,4,2,1,6,7]=>[[1,3,7,8],[2],[4],[5],[6]]=>18
[7,8,4,3,1,5,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[8,7,6,1,2,5,3,4]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[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]]=>17
[4,7,5,8,6,1,3,2]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[6,5,7,3,8,4,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[8,7,5,4,1,2,6,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[8,6,7,1,5,3,2,4]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[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]]=>17
[1,5,3,7,8,4,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>10
[1,5,7,3,8,2,6,4]=>[[1,2,3,5],[4,7],[6,8]]=>12
[1,3,7,5,8,6,2,4]=>[[1,2,3,5],[4,6],[7,8]]=>10
[3,7,5,8,4,1,2,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[5,3,7,6,8,1,2,4]=>[[1,3,5],[2,4,8],[6,7]]=>18
[3,1,2,7,5,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>15
[3,1,2,5,7,8,6,4]=>[[1,3,4,5,6],[2,7],[8]]=>10
[3,7,1,2,8,5,6,4]=>[[1,2,5,7],[3,4,6],[8]]=>11
[5,3,1,7,4,6,8,2]=>[[1,4,6,7],[2,5],[3,8]]=>14
[2,4,7,3,5,6,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>8
[5,7,6,4,2,3,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[5,8,2,4,6,1,3,7]=>[[1,2,5,8],[3,4],[6,7]]=>11
[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]]=>6
[5,6,8,4,7,3,1,2]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[3,1,6,8,5,2,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>15
[2,3,8,1,5,6,4,7]=>[[1,2,3,6,8],[4,5],[7]]=>8
[5,4,8,1,2,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>19
[4,1,8,2,3,6,7,5]=>[[1,3,5,6,7],[2,4],[8]]=>14
[5,2,3,8,1,7,4,6]=>[[1,3,4,8],[2,6],[5,7]]=>16
[1,5,3,8,2,4,6,7]=>[[1,2,4,7,8],[3,6],[5]]=>14
[8,6,2,7,5,1,4,3]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[2,7,1,8,6,3,5,4]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[5,7,6,1,3,2,8,4]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[3,5,4,6,1,7,8,2]=>[[1,2,4,6,7],[3,8],[5]]=>12
[8,1,5,4,6,3,7,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[2,7,1,5,6,4,3,8]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[8,4,2,5,6,3,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[5,4,7,2,8,6,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[3,5,6,4,1,7,2,8]=>[[1,2,3,6,8],[4,7],[5]]=>8
[2,5,6,1,7,4,3,8]=>[[1,2,3,5,8],[4,6],[7]]=>9
[2,7,1,8,6,5,4,3]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[3,7,6,1,8,5,4,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[6,2,8,3,1,4,5,7]=>[[1,3,6,7,8],[2,4],[5]]=>13
[2,7,8,3,1,4,5,6]=>[[1,2,3,7,8],[4,6],[5]]=>9
[1,5,3,2,8,6,7,4]=>[[1,2,5,7],[3,6],[4,8]]=>12
[1,8,5,3,2,6,7,4]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[1,5,6,7,3,2,8,4]=>[[1,2,3,4,7],[5,8],[6]]=>6
[1,7,5,2,3,4,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>8
[1,7,5,2,4,8,6,3]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[1,6,7,8,3,2,4,5]=>[[1,2,3,4],[5,7,8],[6]]=>7
[1,4,8,6,2,3,5,7]=>[[1,2,3,7,8],[4,6],[5]]=>9
[1,8,4,5,6,7,2,3]=>[[1,2,4,5,6],[3,8],[7]]=>10
[1,2,8,6,3,5,7,4]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[1,2,7,8,4,3,5,6]=>[[1,2,3,4,8],[5,7],[6]]=>7
[1,8,6,7,4,2,3,5]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[1,6,7,8,4,2,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>7
[1,6,7,8,3,4,2,5]=>[[1,2,3,4],[5,6,8],[7]]=>6
[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]]=>9
[1,7,3,5,6,2,8,4]=>[[1,2,4,5,7],[3,8],[6]]=>11
[1,7,8,3,4,2,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>6
[1,2,3,7,8,5,4,6]=>[[1,2,3,4,5],[6,8],[7]]=>5
[1,2,7,4,6,3,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>10
[1,7,8,4,5,2,3,6]=>[[1,2,3,8],[4,5],[6,7]]=>7
[1,7,8,3,4,5,2,6]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,2,8,4,5,6,3,7]=>[[1,2,3,5,6,8],[4],[7]]=>8
[1,8,4,5,6,2,3,7]=>[[1,2,4,5,8],[3,7],[6]]=>12
[5,8,2,7,3,4,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[6,8,7,2,3,4,1,5]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[3,8,7,5,2,6,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[4,8,7,3,2,5,1,6]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[5,3,8,1,6,7,4,2]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[5,8,2,1,3,7,6,4]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[5,1,8,3,6,7,4,2]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[3,1,8,4,6,2,7,5]=>[[1,3,5,7],[2,4,8],[6]]=>17
[8,4,1,6,5,2,3,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[1,8,7,6,4,3,5,2]=>[[1,2,7],[3],[4],[5],[6],[8]]=>17
[6,1,8,7,5,3,4,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[6,8,7,3,2,4,1,5]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[2,3,7,5,6,8,4,1]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[3,2,4,7,5,8,1,6]=>[[1,3,4,6],[2,5,8],[7]]=>15
[2,8,7,6,4,5,1,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[4,8,7,6,3,1,5,2]=>[[1,2],[3,7],[4,8],[5],[6]]=>15
[3,5,2,4,7,6,8,1]=>[[1,2,5,7],[3,4,6],[8]]=>11
[5,3,2,6,4,7,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[5,3,2,6,7,4,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[5,3,2,7,6,4,8,1]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[7,3,5,2,8,4,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[3,5,2,7,4,6,8,1]=>[[1,2,4,7],[3,5,6],[8]]=>12
[3,2,5,7,4,6,8,1]=>[[1,3,4,7],[2,5,6],[8]]=>13
[3,2,7,5,4,8,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[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]]=>10
[3,4,7,6,8,2,5,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[5,2,8,4,1,3,6,7]=>[[1,3,7,8],[2,4],[5,6]]=>14
[3,8,5,2,1,4,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[7,6,4,1,8,2,5,3]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[7,5,4,2,1,6,3,8]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[8,1,6,7,3,4,2,5]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[8,2,1,6,7,4,3,5]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[5,2,8,6,3,7,1,4]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[7,6,8,1,2,5,4,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[2,1,3,4,8,5,7,6]=>[[1,3,4,5,7],[2,6],[8]]=>12
[5,7,1,2,6,8,3,4]=>[[1,2,5,6],[3,4,8],[7]]=>10
[1,5,2,3,6,8,7,4]=>[[1,2,4,5,6],[3,7],[8]]=>9
[3,5,7,4,1,8,2,6]=>[[1,2,3,6],[4,7,8],[5]]=>8
[8,6,4,7,5,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[8,6,4,1,2,5,3,7]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[2,8,4,3,1,6,5,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[3,8,4,6,1,5,2,7]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[8,3,5,6,1,4,7,2]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[6,8,7,3,5,4,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>20
[3,1,2,8,5,7,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>15
[7,3,1,2,5,8,4,6]=>[[1,4,5,6],[2,7,8],[3]]=>10
[8,3,5,7,2,1,4,6]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[2,1,3,8,5,7,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>15
[7,3,1,2,8,4,5,6]=>[[1,4,5,7,8],[2,6],[3]]=>11
[2,1,4,7,6,3,5,8]=>[[1,3,4,8],[2,5,7],[6]]=>14
[7,2,4,5,3,8,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[8,4,2,5,6,7,3,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[5,4,1,6,3,7,8,2]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[4,5,1,3,6,7,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>8
[5,1,7,6,3,4,8,2]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[6,1,7,5,4,8,2,3]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[3,7,2,1,6,8,4,5]=>[[1,2,6],[3,5,8],[4,7]]=>15
[1,5,8,2,4,7,6,3]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[5,8,1,6,4,7,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[3,8,6,5,7,2,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[6,8,1,4,7,3,5,2]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[1,6,8,2,7,4,5,3]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[5,7,2,1,8,4,3,6]=>[[1,2,5],[3,6,8],[4,7]]=>12
[5,7,1,6,8,3,2,4]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[5,6,2,1,8,3,4,7]=>[[1,2,5,8],[3,6,7],[4]]=>10
[6,4,1,7,3,8,2,5]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[8,2,5,6,7,1,4,3]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[7,2,4,6,8,3,1,5]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[6,2,4,7,8,1,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>13
[6,1,4,3,2,8,5,7]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[2,7,4,8,6,1,5,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[2,4,8,6,5,7,3,1]=>[[1,2,3,6],[4],[5],[7],[8]]=>13
[3,7,8,6,4,2,5,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[6,2,8,4,7,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[1,4,7,2,6,8,5,3]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[4,2,8,5,1,6,3,7]=>[[1,3,6,8],[2,4],[5,7]]=>16
[6,5,8,1,4,2,3,7]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[2,3,8,4,1,6,5,7]=>[[1,2,3,6,8],[4,7],[5]]=>8
[4,5,7,3,1,6,2,8]=>[[1,2,3,8],[4,6],[5,7]]=>10
[5,1,8,7,4,6,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[2,4,8,7,5,1,3,6]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[3,5,7,6,1,8,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[3,5,7,6,2,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[1,5,3,2,8,7,6,4]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[6,1,4,3,8,7,5,2]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[6,3,1,8,7,4,2,5]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[5,3,6,2,8,7,4,1]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[6,3,5,2,1,8,7,4]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[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]]=>17
[4,1,3,5,8,7,6,2]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[3,4,7,5,8,1,2,6]=>[[1,2,3,5],[4,7,8],[6]]=>11
[2,7,8,3,4,1,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>6
[2,8,6,7,5,4,3,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[7,2,6,8,1,4,3,5]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[5,3,6,2,8,4,7,1]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[8,1,6,3,7,4,5,2]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[2,4,3,7,1,8,6,5]=>[[1,2,4,6],[3,7],[5,8]]=>14
[2,6,5,7,3,8,4,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[6,8,2,7,4,1,5,3]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[6,1,7,8,5,3,2,4]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[2,6,5,4,7,1,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[5,8,3,4,6,1,7,2]=>[[1,2,5,7],[3,4],[6,8]]=>12
[6,1,7,4,2,5,8,3]=>[[1,3,6,7],[2,4],[5,8]]=>15
[6,8,7,1,5,4,2,3]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[4,8,3,1,5,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[5,3,8,2,7,1,6,4]=>[[1,3],[2,5],[4,7],[6,8]]=>24
[8,3,4,5,2,7,1,6]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[7,1,5,2,6,3,4,8]=>[[1,3,5,7,8],[2,6],[4]]=>16
[3,7,1,5,2,6,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>8
[6,7,1,8,3,4,5,2]=>[[1,2,4,7],[3,5,6],[8]]=>12
[3,7,1,6,8,4,5,2]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[3,8,5,2,6,7,1,4]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[3,6,5,2,7,1,4,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[3,7,1,6,5,2,8,4]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[8,3,5,2,7,1,6,4]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[3,8,6,4,7,1,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[3,7,1,4,8,6,5,2]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[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]]=>11
[3,5,7,6,8,2,1,4]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[4,2,5,3,7,6,1,8]=>[[1,3,5,8],[2,4,6],[7]]=>16
[6,2,4,3,7,5,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[1,3,6,4,7,5,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>9
[8,2,5,3,6,4,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[7,2,5,3,6,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[6,2,5,3,7,4,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[4,2,6,3,7,5,1,8]=>[[1,3,5,8],[2,4,6],[7]]=>16
[5,2,7,3,6,4,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[7,3,6,2,5,4,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[6,3,8,2,5,4,1,7]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[7,3,1,4,6,5,2,8]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[8,3,7,2,5,4,1,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[5,2,8,3,6,4,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[3,2,8,4,6,5,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[1,4,7,3,6,5,2,8]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[8,2,5,4,1,6,3,7]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[8,2,6,4,1,5,3,7]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[1,4,8,3,7,5,2,6]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[6,2,1,4,8,5,3,7]=>[[1,4,5,8],[2,6],[3,7]]=>12
[5,2,1,4,8,6,3,7]=>[[1,4,5,8],[2,6],[3,7]]=>12
[3,2,1,5,8,6,4,7]=>[[1,4,5,8],[2,6],[3,7]]=>12
[4,2,8,3,7,5,1,6]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[5,2,8,3,7,4,1,6]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[8,3,7,2,6,4,1,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[7,3,1,4,8,5,2,6]=>[[1,4,5,8],[2,6],[3,7]]=>12
[1,3,7,4,8,5,2,6]=>[[1,2,3,5,8],[4,6],[7]]=>9
[8,2,6,3,7,4,1,5]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[7,2,6,3,8,4,1,5]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[5,2,7,3,8,4,1,6]=>[[1,3,5,8],[2,4,6],[7]]=>16
[3,2,7,4,8,5,1,6]=>[[1,3,5,8],[2,4,6],[7]]=>16
[5,2,6,3,8,4,1,7]=>[[1,3,5,8],[2,4,6],[7]]=>16
[6,2,5,3,8,4,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[7,2,5,3,8,4,1,6]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[8,2,5,3,7,4,1,6]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[1,3,6,4,8,5,2,7]=>[[1,2,3,5,8],[4,6],[7]]=>9
[1,3,5,4,8,6,2,7]=>[[1,2,3,5,8],[4,6],[7]]=>9
[8,2,4,3,7,5,1,6]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[7,2,4,3,8,5,1,6]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[6,2,4,3,8,5,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[5,2,4,3,8,6,1,7]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[4,2,5,3,8,6,1,7]=>[[1,3,5,8],[2,4,6],[7]]=>16
[4,2,5,3,1,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>15
[6,2,4,3,1,7,5,8]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[7,2,4,3,1,6,5,8]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[8,5,1,3,6,4,2,7]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[8,4,1,3,6,5,2,7]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[1,5,2,4,7,6,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>10
[7,2,5,3,1,6,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[6,2,5,3,1,7,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[4,2,6,3,1,7,5,8]=>[[1,3,6,8],[2,4,7],[5]]=>15
[3,2,6,4,1,7,5,8]=>[[1,3,6,8],[2,4,7],[5]]=>15
[3,2,7,4,1,6,5,8]=>[[1,3,6,8],[2,4],[5,7]]=>16
[4,2,7,3,1,6,5,8]=>[[1,3,6,8],[2,4],[5,7]]=>16
[5,2,7,3,1,6,4,8]=>[[1,3,6,8],[2,4],[5,7]]=>16
[6,2,7,3,1,5,4,8]=>[[1,3,6,8],[2,4],[5,7]]=>16
[7,2,6,3,1,5,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[1,5,2,4,8,6,3,7]=>[[1,2,4,5,8],[3,6],[7]]=>10
[8,4,1,3,7,5,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[6,2,1,5,3,7,4,8]=>[[1,4,6,8],[2,5,7],[3]]=>14
[3,2,1,6,4,7,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>14
[3,2,8,5,1,6,4,7]=>[[1,3,6,8],[2,4],[5,7]]=>16
[6,2,8,4,1,5,3,7]=>[[1,3,6,8],[2,4],[5,7]]=>16
[8,3,7,4,1,5,2,6]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[7,1,3,2,5,6,4,8]=>[[1,3,5,6,8],[2,7],[4]]=>15
[6,3,5,2,4,8,1,7]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[1,5,2,8,7,4,3,6]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[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]]=>13
[7,1,5,3,2,6,8,4]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[8,6,2,3,1,5,7,4]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[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]]=>13
[7,3,4,2,1,5,8,6]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[1,7,6,3,2,4,8,5]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[2,1,6,4,7,8,5,3]=>[[1,3,5,6],[2,4,7],[8]]=>15
[1,6,3,2,4,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>8
[1,2,3,7,5,8,4,6]=>[[1,2,3,4,6],[5,8],[7]]=>8
[1,8,5,3,2,4,7,6]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[4,7,8,1,5,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>7
[3,6,7,1,8,4,2,5]=>[[1,2,3,5],[4,6,8],[7]]=>10
[1,3,7,6,2,4,5,8]=>[[1,2,3,7,8],[4,6],[5]]=>9
[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]]=>19
[5,6,2,7,8,3,4,1]=>[[1,2,4,5],[3,6,7],[8]]=>10
[7,4,1,8,5,6,2,3]=>[[1,4,6],[2,5,8],[3,7]]=>16
[7,2,5,8,1,6,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>17
[6,4,8,1,5,7,2,3]=>[[1,3,6],[2,5,8],[4,7]]=>21
[2,7,4,1,3,6,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>12
[6,2,1,4,7,5,8,3]=>[[1,4,5,7],[2,6],[3,8]]=>13
[2,6,1,5,4,7,3,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[2,3,6,8,4,1,7,5]=>[[1,2,3,4],[5,7],[6,8]]=>8
[1,7,2,8,6,3,5,4]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[8,4,2,3,7,1,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[5,2,4,8,7,3,1,6]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[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]]=>16
[4,8,1,6,3,7,5,2]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[7,1,5,2,6,4,3,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[8,3,5,2,6,1,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[1,8,5,6,2,7,4,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[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]]=>15
[7,3,2,1,8,5,4,6]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[7,3,2,1,6,4,8,5]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[3,6,5,2,1,8,4,7]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[6,7,2,4,3,5,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[4,3,8,2,1,5,7,6]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[4,3,2,8,1,6,7,5]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[4,5,8,3,2,7,1,6]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[6,8,5,2,7,3,4,1]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[5,4,7,8,2,3,6,1]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[4,3,8,2,1,6,7,5]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[3,5,7,4,6,2,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[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]]=>9
[6,4,7,8,3,1,5,2]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[8,4,7,3,1,5,6,2]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[5,8,1,7,6,4,2,3]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[5,6,7,1,8,3,4,2]=>[[1,2,3,5],[4,6,7],[8]]=>9
[7,1,8,6,2,5,4,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[8,5,1,7,6,4,2,3]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[1,5,8,2,6,4,7,3]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[1,5,7,4,6,8,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[1,4,7,5,6,8,3,2]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[5,6,7,4,8,1,3,2]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[8,1,2,6,4,5,7,3]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[4,8,1,7,2,5,6,3]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[2,6,7,1,5,4,8,3]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[3,2,7,6,5,8,1,4]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[1,7,3,4,5,8,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>10
[7,1,8,4,5,6,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[1,2,7,4,5,8,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>9
[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]]=>19
[4,6,2,5,1,8,7,3]=>[[1,2,6],[3,4,7],[5,8]]=>10
[5,1,4,6,2,8,7,3]=>[[1,3,4,6],[2,7],[5,8]]=>15
[7,3,5,2,1,6,8,4]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[8,5,1,2,6,3,7,4]=>[[1,4,5,7],[2,6,8],[3]]=>12
[1,5,8,7,4,6,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[5,7,2,1,3,6,8,4]=>[[1,2,6,7],[3,5],[4,8]]=>13
[3,7,2,6,8,1,5,4]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[7,4,8,6,5,1,3,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[2,7,6,8,5,1,4,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[1,6,4,5,7,3,8,2]=>[[1,2,4,5,7],[3],[6],[8]]=>13
[1,5,4,7,8,6,2,3]=>[[1,2,4,5],[3,6],[7,8]]=>11
[7,3,1,6,8,2,5,4]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[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]]=>12
[1,5,7,8,6,2,4,3]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[3,6,2,1,4,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>12
[6,8,2,7,5,4,3,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>16
[5,8,1,7,6,4,3,2]=>[[1,2],[3,4],[5],[6],[7],[8]]=>16
[8,6,3,2,1,5,4,7]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[8,5,3,2,4,1,7,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[7,5,2,4,3,6,8,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>18
[8,5,1,4,6,3,2,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[8,5,1,6,3,4,2,7]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[8,4,3,6,1,5,2,7]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[8,4,3,5,2,1,7,6]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[6,4,3,2,8,7,1,5]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[8,5,1,4,3,7,2,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[8,5,4,2,1,3,7,6]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[4,7,3,6,1,8,5,2]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[7,6,2,4,1,5,8,3]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[8,1,6,3,7,4,2,5]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[5,3,8,2,6,7,1,4]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[8,2,5,1,7,6,3,4]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[8,2,4,6,3,7,1,5]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[7,2,6,4,3,5,8,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>19
[7,3,6,2,4,5,8,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[8,3,7,2,1,4,6,5]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[7,6,4,1,3,2,8,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[7,3,8,2,1,5,6,4]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[6,2,5,7,4,3,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>18
[6,2,5,4,8,7,1,3]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[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]]=>20
[7,1,6,2,8,5,4,3]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[7,1,6,3,8,5,2,4]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[7,2,6,8,1,3,5,4]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[7,2,8,5,1,3,6,4]=>[[1,3,7],[2,4,8],[5,6]]=>15
[7,1,8,5,3,2,6,4]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[7,1,8,2,5,6,4,3]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[6,1,5,8,7,2,4,3]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[6,1,5,7,4,8,3,2]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[6,1,5,7,8,3,4,2]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[4,6,7,3,1,8,5,2]=>[[1,2,3,6],[4,7],[5,8]]=>9
[4,2,6,3,1,8,7,5]=>[[1,3,6],[2,4,7],[5,8]]=>16
[6,1,4,2,5,8,7,3]=>[[1,3,5,6],[2,7],[4,8]]=>16
[1,5,3,8,4,6,2,7]=>[[1,2,4,6,8],[3,5],[7]]=>13
[7,2,3,5,8,4,1,6]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[7,6,4,2,8,5,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[1,7,6,4,8,5,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[8,7,4,2,1,5,6,3]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[8,2,3,5,1,4,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>15
[8,7,4,1,3,2,6,5]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[7,1,4,8,3,6,2,5]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[4,1,8,5,7,6,2,3]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[3,7,5,8,4,2,1,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[6,1,5,8,3,4,2,7]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[6,7,5,1,3,2,4,8]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[5,2,6,1,7,3,4,8]=>[[1,3,5,8],[2,6,7],[4]]=>16
[4,2,6,8,3,7,1,5]=>[[1,3,4],[2,5,6],[7,8]]=>13
[6,8,5,1,4,2,3,7]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[7,8,4,5,1,3,6,2]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[1,7,8,5,3,4,6,2]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[1,5,8,3,6,4,7,2]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[6,3,8,1,4,2,7,5]=>[[1,3,7],[2,5,8],[4,6]]=>19
[4,8,1,5,6,3,7,2]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[1,8,2,6,5,3,7,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[3,8,1,7,2,6,5,4]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[7,3,8,1,2,6,5,4]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[8,1,4,2,3,5,7,6]=>[[1,3,5,6,7],[2,8],[4]]=>14
[8,1,2,4,6,5,7,3]=>[[1,3,4,5,7],[2],[6],[8]]=>14
[5,1,8,3,7,4,6,2]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[8,3,7,1,5,4,6,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,4,7,1,5,3,6,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[7,2,5,3,4,6,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>17
[7,6,4,2,5,3,1,8]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[5,8,4,3,6,2,7,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[1,7,2,6,3,4,8,5]=>[[1,2,4,6,7],[3,8],[5]]=>12
[7,5,1,6,3,2,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[7,1,2,6,3,4,5,8]=>[[1,3,4,6,7,8],[2],[5]]=>12
[7,3,1,4,6,2,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>11
[7,1,6,5,4,2,3,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>18
[5,8,4,3,1,7,2,6]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[3,6,8,5,2,4,7,1]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[5,7,8,4,3,2,6,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[1,3,8,4,7,2,6,5]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[6,7,1,3,2,8,5,4]=>[[1,2,6],[3,4,7],[5,8]]=>10
[1,5,3,2,6,8,4,7]=>[[1,2,5,6],[3,7,8],[4]]=>9
[3,7,6,5,8,2,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[5,7,4,2,8,6,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[5,4,3,7,8,2,6,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[3,8,5,7,6,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[1,3,6,8,7,2,5,4]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[5,8,7,1,4,2,3,6]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[2,6,3,7,1,4,5,8]=>[[1,2,4,7,8],[3,6],[5]]=>14
[7,6,8,4,3,1,5,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[1,7,6,5,3,2,4,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[2,7,6,5,4,1,3,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[6,2,3,5,8,4,1,7]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[4,7,6,1,5,8,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[6,8,7,1,5,4,3,2]=>[[1,2],[3,5],[4],[6],[7],[8]]=>20
[8,7,4,6,5,1,3,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>23
[7,2,6,1,5,8,3,4]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[4,7,3,8,6,2,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[4,7,3,6,8,2,1,5]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[5,4,7,3,8,2,1,6]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[8,7,2,4,6,3,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[4,3,5,7,2,6,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[1,7,2,8,5,4,3,6]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[5,4,8,3,6,2,1,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[6,8,2,5,7,1,4,3]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[3,8,6,2,7,5,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[5,8,4,2,7,3,6,1]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[8,2,7,3,4,5,1,6]=>[[1,3,5,6,8],[2],[4],[7]]=>17
[8,1,5,2,4,6,3,7]=>[[1,3,5,6,8],[2],[4],[7]]=>17
[8,6,1,3,4,5,7,2]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[8,5,1,2,4,6,7,3]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[2,6,8,7,3,4,5,1]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[1,7,8,5,6,4,2,3]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[8,3,1,2,4,6,7,5]=>[[1,4,5,6,7],[2,8],[3]]=>9
[3,1,7,5,8,2,4,6]=>[[1,3,5,8],[2,4,7],[6]]=>18
[8,1,3,2,4,6,5,7]=>[[1,3,5,6,8],[2,7],[4]]=>15
[8,1,5,6,4,2,3,7]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[8,1,6,5,4,3,2,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>22
[2,6,8,1,5,4,3,7]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[3,5,8,2,1,4,7,6]=>[[1,2,3],[4,6,7],[5,8]]=>10
[4,2,8,5,3,7,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[4,2,7,5,3,8,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[6,4,5,1,8,3,2,7]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[5,4,7,8,3,1,2,6]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[4,5,8,1,3,7,2,6]=>[[1,2,3],[4,5,6],[7,8]]=>7
[1,5,3,6,8,7,2,4]=>[[1,2,4,5],[3,6],[7,8]]=>11
[7,6,2,8,1,4,3,5]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[4,7,2,6,8,3,5,1]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[6,3,2,8,7,4,5,1]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[7,4,3,8,5,6,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[3,1,5,8,7,6,2,4]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[8,2,1,6,5,7,3,4]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[3,1,8,6,5,7,2,4]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[1,2,7,6,4,5,8,3]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[7,2,6,5,1,8,3,4]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[4,2,8,5,6,3,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[4,7,3,2,5,1,6,8]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[4,2,5,3,8,7,1,6]=>[[1,3,5],[2,4,6],[7,8]]=>17
[7,2,5,3,8,4,6,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[8,7,3,2,5,4,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[7,5,6,1,8,3,2,4]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[4,5,6,2,7,3,1,8]=>[[1,2,3,5,8],[4,6],[7]]=>9
[3,5,1,4,6,8,2,7]=>[[1,2,5,6],[3,4,8],[7]]=>10
[8,5,7,4,2,1,3,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[4,6,2,7,5,8,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>14
[7,8,1,4,2,3,5,6]=>[[1,2,6,7,8],[3,4],[5]]=>7
[6,5,2,4,8,7,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[8,5,2,4,1,3,7,6]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[5,1,2,4,3,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>13
[8,6,2,7,5,3,1,4]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[4,3,8,1,5,2,6,7]=>[[1,3,7,8],[2,5],[4,6]]=>18
[4,1,3,6,7,2,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>12
[7,4,8,6,5,1,2,3]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[3,7,8,6,5,1,2,4]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[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]]=>9
[6,5,8,2,7,3,1,4]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[6,4,8,2,7,3,1,5]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[7,8,1,3,6,4,2,5]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[4,5,7,8,3,2,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[5,7,3,4,2,6,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[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]]=>21
[6,8,3,2,4,5,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[5,8,3,4,6,1,2,7]=>[[1,2,5,8],[3,4],[6,7]]=>11
[6,4,3,8,5,1,2,7]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[6,4,8,2,3,5,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[5,4,6,8,2,3,1,7]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[5,6,8,4,1,2,3,7]=>[[1,2,3,8],[4,6,7],[5]]=>9
[6,4,8,5,1,2,3,7]=>[[1,3,7,8],[2,4],[5,6]]=>14
[7,4,8,3,1,2,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[5,7,8,2,3,1,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>8
[5,4,7,8,2,1,3,6]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[5,8,6,3,1,2,4,7]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[6,8,5,2,1,3,4,7]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[5,6,1,3,2,4,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>8
[4,3,8,1,2,5,7,6]=>[[1,3,6,7],[2,5],[4,8]]=>19
[4,6,3,2,8,5,7,1]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[5,3,7,2,1,8,6,4]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[5,4,8,3,7,2,1,6]=>[[1,3],[2,5],[4,8],[6],[7]]=>24
[3,6,8,5,2,1,7,4]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[6,1,5,4,7,2,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[5,4,8,3,2,7,1,6]=>[[1,3],[2,6],[4,8],[5],[7]]=>23
[5,4,3,7,8,2,1,6]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[1,4,8,6,3,2,7,5]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[4,1,8,6,2,5,7,3]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[6,7,2,5,3,8,4,1]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[6,3,4,8,1,2,7,5]=>[[1,3,4],[2,6,7],[5,8]]=>16
[2,6,3,1,5,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>10
[7,1,3,2,6,5,8,4]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[1,3,5,8,4,7,2,6]=>[[1,2,3,4],[5,6],[7,8]]=>6
[2,3,8,7,5,1,6,4]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[4,1,3,5,6,2,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>12
[6,4,8,7,3,5,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[8,2,3,5,6,1,4,7]=>[[1,3,4,5,8],[2,7],[6]]=>13
[3,8,2,7,6,4,1,5]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[4,3,8,6,2,7,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[8,3,4,5,1,6,7,2]=>[[1,3,4,6,7],[2,8],[5]]=>13
[7,8,1,3,5,4,6,2]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[3,5,7,6,4,8,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[1,3,7,8,5,4,6,2]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[1,3,2,7,8,5,4,6]=>[[1,2,4,5],[3,6,8],[7]]=>11
[1,5,7,6,8,3,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[6,5,8,4,3,7,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>23
[6,7,3,1,5,2,4,8]=>[[1,2,7,8],[3,5],[4,6]]=>12
[5,2,4,1,8,3,6,7]=>[[1,3,5,8],[2,6,7],[4]]=>16
[2,1,7,4,3,8,5,6]=>[[1,3,6,8],[2,4,7],[5]]=>15
[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
[1,4,8,2,3,6,5,7]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,4,6,7,3,5,2,8]=>[[1,2,3,4,8],[5,6],[7]]=>5
[1,4,8,2,6,7,5,3]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[1,7,3,2,4,5,6,8]=>[[1,2,5,6,7,8],[3],[4]]=>7
[1,7,3,2,4,5,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>8
[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]]=>15
[5,2,1,6,8,7,4,3]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[1,3,5,8,6,2,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>6
[3,7,8,5,4,2,6,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[8,3,2,7,5,6,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[1,3,8,5,7,4,2,6]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[1,2,3,7,5,4,6,8]=>[[1,2,3,4,7,8],[5],[6]]=>5
[1,4,2,8,6,3,5,7]=>[[1,2,4,7,8],[3,5],[6]]=>11
[2,8,6,3,5,7,4,1]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[6,1,8,2,5,3,4,7]=>[[1,3,5,7,8],[2,4],[6]]=>16
[1,5,4,2,3,6,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>8
[6,1,5,2,3,4,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>14
[3,1,2,4,8,6,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>12
[3,1,2,5,8,7,4,6]=>[[1,3,4,5],[2,6,8],[7]]=>12
[6,5,2,1,8,4,7,3]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[5,6,2,4,3,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[3,7,5,2,8,1,4,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[5,1,4,7,3,2,8,6]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[4,1,5,8,6,2,3,7]=>[[1,3,4,8],[2,5,7],[6]]=>14
[5,4,8,6,3,7,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[6,5,2,3,1,8,7,4]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[6,4,7,5,3,8,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[5,7,4,8,3,1,6,2]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[4,3,5,1,8,7,2,6]=>[[1,3,5],[2,6,8],[4,7]]=>18
[2,5,3,6,1,8,4,7]=>[[1,2,4,6],[3,7,8],[5]]=>13
[2,5,6,8,3,1,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>8
[7,1,4,5,3,6,2,8]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[1,7,2,4,5,3,6,8]=>[[1,2,4,5,7,8],[3],[6]]=>10
[1,7,4,5,3,2,6,8]=>[[1,2,4,7,8],[3],[5],[6]]=>13
[1,6,4,7,3,5,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[3,5,6,4,8,2,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[1,6,4,7,5,2,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>12
[1,5,2,6,7,4,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>10
[8,5,6,1,4,3,7,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[2,5,4,7,8,3,1,6]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[6,4,5,8,2,3,1,7]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[8,6,1,3,2,5,7,4]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[7,5,8,1,4,6,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[4,2,6,7,8,1,5,3]=>[[1,3,4,5],[2,7],[6,8]]=>14
[3,4,6,7,8,1,5,2]=>[[1,2,3,4,5],[6,7],[8]]=>4
[4,7,3,8,5,1,6,2]=>[[1,2,4],[3,5,7],[6,8]]=>14
[4,3,2,7,5,8,1,6]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[4,8,5,3,2,6,1,7]=>[[1,2,6,8],[3],[4],[5],[7]]=>14
[2,8,4,5,3,6,1,7]=>[[1,2,4,6,8],[3],[5],[7]]=>15
[8,1,5,3,2,4,7,6]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[7,8,4,1,3,6,5,2]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[8,6,1,3,2,7,4,5]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[7,3,8,2,4,1,6,5]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[6,2,3,7,8,1,5,4]=>[[1,3,4,5],[2,7],[6,8]]=>14
[6,3,7,8,1,5,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[2,6,3,7,8,1,5,4]=>[[1,2,4,5],[3,7],[6,8]]=>13
[7,5,8,1,6,4,2,3]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[8,1,4,3,7,5,6,2]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[1,4,8,5,3,2,6,7]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[8,2,7,6,4,1,5,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[2,7,4,3,8,5,1,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[6,8,2,7,3,1,5,4]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[8,2,6,3,4,1,7,5]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[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]]=>13
[7,5,2,8,1,6,3,4]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[4,8,5,7,1,3,2,6]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[3,4,7,2,1,5,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>10
[4,8,2,7,1,3,6,5]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[8,2,1,7,4,6,3,5]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[4,2,5,8,3,6,7,1]=>[[1,3,4,7],[2,5,6],[8]]=>13
[5,1,6,8,3,2,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>15
[4,1,5,6,8,2,7,3]=>[[1,3,4,5],[2,6,7],[8]]=>11
[4,5,2,8,7,3,1,6]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[4,8,5,3,1,6,7,2]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[6,2,3,1,7,8,5,4]=>[[1,3,5,6],[2,7],[4,8]]=>16
[5,2,3,6,8,4,7,1]=>[[1,3,4,5],[2,6,7],[8]]=>11
[6,2,1,7,8,4,3,5]=>[[1,4,5],[2,6,8],[3,7]]=>13
[5,2,1,3,8,4,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>13
[5,2,7,8,4,1,6,3]=>[[1,3,4],[2,5,7],[6,8]]=>15
[6,2,7,8,3,5,4,1]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[5,2,8,6,4,1,7,3]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[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]]=>12
[5,7,2,6,4,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[6,2,3,4,7,8,5,1]=>[[1,3,4,5,6],[2,7],[8]]=>10
[7,2,1,8,4,3,5,6]=>[[1,4,7,8],[2,5],[3,6]]=>13
[6,2,1,3,7,5,8,4]=>[[1,4,5,7],[2,6],[3,8]]=>13
[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]]=>13
[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]]=>10
[6,1,4,7,2,8,5,3]=>[[1,3,4,6],[2,7],[5,8]]=>15
[1,6,7,2,4,8,5,3]=>[[1,2,3,6],[4,5,7],[8]]=>8
[5,7,2,4,3,6,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[5,7,3,4,6,2,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[2,8,3,6,1,7,4,5]=>[[1,2,4,6],[3,7,8],[5]]=>13
[4,3,1,8,5,2,6,7]=>[[1,4,7,8],[2,5],[3,6]]=>13
[1,8,4,5,6,2,7,3]=>[[1,2,4,5,7],[3,8],[6]]=>11
[7,3,8,2,1,4,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[8,2,5,3,1,7,4,6]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[6,3,5,8,1,7,4,2]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[3,5,4,8,6,1,7,2]=>[[1,2,4,7],[3,5],[6,8]]=>13
[7,5,2,3,8,4,6,1]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[2,7,5,1,4,8,3,6]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[5,7,6,1,2,8,3,4]=>[[1,2,6,8],[3,5,7],[4]]=>13
[7,4,6,5,1,8,2,3]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[7,1,3,2,6,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>15
[4,3,5,2,8,1,6,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[1,7,3,8,2,4,6,5]=>[[1,2,4,7],[3,6],[5,8]]=>16
[2,7,4,8,5,3,1,6]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[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]]=>14
[5,4,6,8,1,3,2,7]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[3,6,1,5,8,4,7,2]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[6,4,8,3,5,7,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[3,5,8,2,4,1,7,6]=>[[1,2,3],[4,5,7],[6,8]]=>9
[7,2,8,4,1,3,6,5]=>[[1,3,7],[2,4,8],[5,6]]=>15
[5,8,1,2,4,3,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>10
[8,4,3,5,7,2,6,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[4,1,5,2,3,8,7,6]=>[[1,3,5,6],[2,4,7],[8]]=>15
[6,3,5,8,2,4,7,1]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[2,8,7,1,4,6,3,5]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[1,8,5,3,7,4,2,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[7,5,6,2,8,4,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[5,7,6,2,8,1,4,3]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[6,3,8,1,2,5,4,7]=>[[1,3,6,8],[2,5],[4,7]]=>20
[7,6,4,8,5,3,2,1]=>[[1,4],[2,5],[3],[6],[7],[8]]=>21
[1,5,7,2,4,3,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[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]]=>12
[1,4,7,2,6,5,3,8]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[1,2,6,8,7,4,3,5]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[1,2,7,4,3,5,8,6]=>[[1,2,3,6,7],[4,8],[5]]=>7
[1,6,2,8,7,4,3,5]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[1,7,4,2,3,5,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>8
[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]]=>12
[1,4,7,5,2,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>9
[1,6,3,7,4,2,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>12
[1,8,5,2,7,4,3,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[1,4,8,7,5,3,2,6]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[1,2,5,8,6,3,7,4]=>[[1,2,3,4,7],[5,8],[6]]=>6
[1,2,4,7,5,8,6,3]=>[[1,2,3,4,6],[5,7],[8]]=>7
[1,5,8,7,6,2,4,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[1,3,5,8,7,6,2,4]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[1,5,2,4,3,6,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>12
[1,6,8,7,5,3,2,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[1,2,5,7,4,3,8,6]=>[[1,2,3,4,7],[5,8],[6]]=>6
[1,5,3,2,6,8,7,4]=>[[1,2,5,6],[3,7],[4,8]]=>10
[1,4,2,6,8,7,5,3]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[1,5,8,6,3,2,7,4]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[1,8,5,2,6,3,4,7]=>[[1,2,5,7,8],[3,6],[4]]=>10
[1,7,4,6,3,2,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[1,6,3,2,8,5,4,7]=>[[1,2,5,8],[3,6],[4,7]]=>11
[1,3,8,6,4,2,5,7]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[1,5,7,4,2,3,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>10
[6,3,7,5,4,2,8,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[7,5,2,6,3,4,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[3,8,2,7,5,4,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[5,4,8,6,7,1,2,3]=>[[1,3,5],[2,4,8],[6,7]]=>18
[2,7,3,6,8,5,4,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[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]]=>15
[2,5,8,7,1,4,3,6]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[3,4,6,5,8,2,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[5,2,4,1,6,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>14
[4,2,7,1,6,8,3,5]=>[[1,3,6],[2,5,8],[4,7]]=>21
[5,2,8,6,4,7,1,3]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[6,1,3,4,7,2,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>12
[8,4,7,2,5,3,1,6]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[8,3,4,5,2,1,7,6]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[8,6,1,4,7,3,5,2]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[5,3,6,7,2,8,4,1]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[5,3,6,7,2,4,8,1]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[8,6,1,4,7,5,2,3]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[1,5,8,2,6,7,4,3]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[7,1,3,6,5,2,8,4]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[8,2,1,4,5,7,6,3]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[1,4,7,5,2,3,8,6]=>[[1,2,3,7],[4,6,8],[5]]=>10
[6,1,7,5,4,2,8,3]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[2,7,3,6,5,1,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[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]]=>24
[2,8,4,6,1,7,5,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[2,8,6,4,7,3,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[8,7,1,4,6,5,3,2]=>[[1,4,5],[2],[3],[6],[7],[8]]=>20
[3,5,8,6,7,1,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[1,2,4,6,8,5,3,7]=>[[1,2,3,4,5],[6,8],[7]]=>5
[3,1,5,8,6,2,4,7]=>[[1,3,4,8],[2,5,7],[6]]=>14
[2,5,4,6,8,1,3,7]=>[[1,2,4,5],[3,7,8],[6]]=>12
[6,5,2,4,7,8,1,3]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[7,2,5,8,6,4,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[5,2,8,3,4,7,6,1]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[2,4,3,8,7,1,6,5]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[1,5,8,7,4,2,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[6,8,7,5,4,3,1,2]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[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]]=>8
[5,4,2,3,6,1,8,7]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[5,1,7,4,3,6,8,2]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[4,3,7,6,8,2,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[8,1,4,7,2,3,5,6]=>[[1,3,4,7,8],[2,6],[5]]=>15
[6,1,8,5,2,7,3,4]=>[[1,3,6,8],[2,4],[5,7]]=>16
[8,7,2,6,3,1,4,5]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[8,7,1,6,4,5,2,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[5,4,1,3,7,2,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[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]]=>15
[6,5,8,7,2,4,3,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[4,3,6,5,8,2,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[7,6,3,2,8,5,4,1]=>[[1,5],[2,6],[3,7],[4],[8]]=>17
[4,3,7,1,8,5,2,6]=>[[1,3,5],[2,6,8],[4,7]]=>18
[3,2,8,5,6,7,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>16
[8,3,2,1,4,7,5,6]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[4,7,3,1,8,5,2,6]=>[[1,2,5],[3,6,8],[4,7]]=>12
[3,7,8,2,5,6,1,4]=>[[1,2,3],[4,5,6],[7,8]]=>7
[7,5,1,4,2,3,6,8]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[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]]=>9
[5,1,2,4,7,8,6,3]=>[[1,3,4,5,6],[2,7],[8]]=>10
[5,1,7,8,6,2,3,4]=>[[1,3,4,8],[2,5,7],[6]]=>14
[8,5,1,6,7,2,3,4]=>[[1,4,5,8],[2,6,7],[3]]=>11
[7,5,1,2,4,6,8,3]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[6,1,5,2,7,3,4,8]=>[[1,3,5,7,8],[2,6],[4]]=>16
[7,1,2,6,4,5,8,3]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[1,7,3,6,4,5,8,2]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[1,8,3,6,4,5,7,2]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[8,1,6,2,7,3,4,5]=>[[1,3,5,7,8],[2,6],[4]]=>16
[7,1,6,2,5,3,4,8]=>[[1,3,5,7,8],[2],[4],[6]]=>18
[8,1,6,2,5,3,4,7]=>[[1,3,5,7,8],[2],[4],[6]]=>18
[8,1,7,2,5,3,4,6]=>[[1,3,5,7,8],[2],[4],[6]]=>18
[8,1,2,7,4,5,6,3]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[1,8,3,7,4,5,6,2]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[8,1,6,7,5,2,3,4]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[7,3,1,2,6,4,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>11
[3,1,2,8,5,6,7,4]=>[[1,3,4,6,7],[2,5],[8]]=>13
[6,3,1,2,7,4,5,8]=>[[1,4,5,7,8],[2,6],[3]]=>11
[6,1,7,4,2,3,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[1,7,3,4,6,8,5,2]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[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]]=>16
[6,1,7,2,5,3,4,8]=>[[1,3,5,7,8],[2,4],[6]]=>16
[5,1,7,2,6,3,4,8]=>[[1,3,5,7,8],[2,4],[6]]=>16
[5,1,8,2,6,3,4,7]=>[[1,3,5,7,8],[2,4],[6]]=>16
[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]]=>6
[2,4,8,6,3,5,1,7]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[2,3,7,5,4,1,6,8]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[3,4,6,2,1,5,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>10
[3,4,7,2,1,6,5,8]=>[[1,2,3,8],[4,6],[5,7]]=>10
[2,6,8,3,5,1,4,7]=>[[1,2,3,8],[4,5],[6,7]]=>7
[2,3,6,1,5,8,4,7]=>[[1,2,3,6],[4,5,8],[7]]=>9
[2,3,7,1,6,5,8,4]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[2,4,7,1,3,6,8,5]=>[[1,2,3,7],[4,5,6],[8]]=>7
[5,4,7,8,1,3,2,6]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[2,5,7,1,4,6,3,8]=>[[1,2,3,8],[4,5,6],[7]]=>6
[2,4,7,1,6,3,5,8]=>[[1,2,3,8],[4,5,7],[6]]=>8
[2,3,7,1,6,5,4,8]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[2,5,7,1,4,3,6,8]=>[[1,2,3,8],[4,5,7],[6]]=>8
[2,5,7,3,1,4,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>9
[3,4,7,2,1,6,8,5]=>[[1,2,3,7],[4,6],[5,8]]=>11
[4,6,3,7,1,5,2,8]=>[[1,2,4,8],[3,6],[5,7]]=>15
[5,7,3,2,8,1,4,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[2,6,5,7,1,8,4,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[3,6,8,5,4,1,7,2]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[5,4,7,8,1,3,6,2]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[2,5,7,1,4,6,8,3]=>[[1,2,3,7],[4,5,6],[8]]=>7
[2,4,7,1,6,3,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>7
[2,4,7,1,6,8,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>9
[8,6,5,1,2,4,3,7]=>[[1,5,6,8],[2],[3],[4],[7]]=>15
[7,6,1,4,2,3,5,8]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[6,5,1,4,8,3,2,7]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[8,7,5,1,4,2,3,6]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[8,4,1,2,5,3,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>11
[8,6,1,4,2,5,3,7]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[8,7,1,4,3,2,6,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[2,8,3,7,4,5,6,1]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[8,7,5,2,4,3,6,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>21
[4,2,5,7,3,1,6,8]=>[[1,3,4,8],[2,5,7],[6]]=>14
[8,2,4,5,3,1,6,7]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[8,4,5,1,3,2,6,7]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[4,3,7,5,2,1,6,8]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[1,6,7,4,3,2,5,8]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[1,4,5,7,3,2,6,8]=>[[1,2,3,4,8],[5,7],[6]]=>7
[3,5,1,4,7,2,6,8]=>[[1,2,5,8],[3,4,7],[6]]=>12
[2,5,1,4,7,8,3,6]=>[[1,2,5,6],[3,4,8],[7]]=>10
[4,3,7,1,5,2,6,8]=>[[1,3,7,8],[2,5],[4,6]]=>18
[3,5,1,6,4,2,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>11
[6,4,3,1,7,2,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[6,2,7,4,3,1,5,8]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[2,6,4,1,7,3,5,8]=>[[1,2,5,8],[3,6,7],[4]]=>10
[6,3,2,7,4,5,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[7,2,4,1,3,6,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>18
[6,3,2,5,7,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[3,2,6,5,7,1,4,8]=>[[1,3,5,8],[2,4],[6,7]]=>17
[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]]=>14
[2,1,6,3,5,7,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>14
[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]]=>8
[5,6,2,1,4,3,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>12
[2,5,1,6,4,3,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>11
[2,5,4,1,6,3,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>10
[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]]=>14
[1,2,5,3,4,8,7,6]=>[[1,2,3,5,6],[4,7],[8]]=>8
[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]]=>12
[1,5,8,3,6,2,7,4]=>[[1,2,3,7],[4,5],[6,8]]=>8
[1,2,6,4,7,3,8,5]=>[[1,2,3,5,7],[4,8],[6]]=>10
[1,2,7,8,3,5,6,4]=>[[1,2,3,4,7],[5,6],[8]]=>6
[2,7,4,5,8,1,6,3]=>[[1,2,4,5],[3,7],[6,8]]=>13
[2,6,1,8,5,4,3,7]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[5,8,6,2,3,4,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[4,5,8,6,2,1,3,7]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[6,4,7,5,8,2,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[6,3,7,4,2,5,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[7,5,6,2,4,3,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[4,6,2,5,7,3,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[4,2,8,5,3,6,1,7]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[8,1,7,4,5,6,2,3]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[2,1,7,8,4,5,6,3]=>[[1,3,4,7],[2,5,6],[8]]=>13
[8,2,1,4,3,7,6,5]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[7,6,5,3,1,2,8,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[5,4,1,6,2,8,3,7]=>[[1,4,6,8],[2,5,7],[3]]=>14
[6,2,3,1,7,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>15
[3,1,8,6,7,2,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>18
[4,2,5,1,8,6,7,3]=>[[1,3,5,7],[2,6],[4,8]]=>18
[4,5,3,7,1,6,8,2]=>[[1,2,4,7],[3,6],[5,8]]=>16
[4,2,8,5,3,6,7,1]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[2,8,6,3,5,4,7,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>16
[3,5,2,8,6,4,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[7,3,5,1,6,4,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[5,1,4,7,2,6,8,3]=>[[1,3,4,7],[2,6],[5,8]]=>17
[1,8,2,5,6,4,7,3]=>[[1,2,4,5,7],[3],[6],[8]]=>13
[2,7,1,4,8,5,6,3]=>[[1,2,5,7],[3,4,6],[8]]=>11
[2,8,4,6,1,3,7,5]=>[[1,2,4,7],[3,6,8],[5]]=>15
[8,4,6,2,5,3,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,3,7,6,2,1,5,4]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[8,5,2,7,6,1,4,3]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[5,8,2,7,6,1,4,3]=>[[1,2],[3,4],[5,7],[6],[8]]=>15
[8,3,7,6,2,5,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>23
[7,3,8,6,5,1,4,2]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[2,6,3,7,5,4,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[5,4,7,1,3,8,6,2]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[2,8,5,1,4,7,3,6]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[7,2,6,5,8,4,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>25
[5,8,2,3,4,6,1,7]=>[[1,2,5,6,8],[3,4],[7]]=>9
[6,1,3,4,2,5,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>12
[1,5,6,3,2,4,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>9
[6,3,5,2,4,1,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[7,8,3,5,2,4,6,1]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[2,4,5,7,3,6,1,8]=>[[1,2,3,4,8],[5,6],[7]]=>5
[2,5,3,1,6,4,7,8]=>[[1,2,5,7,8],[3,6],[4]]=>10
[6,5,1,3,4,2,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[5,7,4,3,2,6,1,8]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[6,8,7,4,3,5,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[2,6,7,8,4,3,5,1]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[1,7,8,4,5,3,6,2]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[7,1,8,5,3,4,6,2]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[5,7,4,2,1,6,3,8]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[5,1,4,7,3,6,2,8]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[7,4,8,6,3,5,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[4,7,6,3,5,2,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[1,6,5,8,7,4,2,3]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[6,1,3,8,7,5,2,4]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[7,6,2,1,8,3,5,4]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[7,1,3,6,8,2,5,4]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[1,7,5,6,8,2,4,3]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[3,6,7,5,8,2,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[1,7,4,5,2,8,6,3]=>[[1,2,4,6],[3,7],[5,8]]=>14
[7,5,4,2,1,8,6,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[3,6,7,4,2,8,5,1]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[4,6,3,2,7,8,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[7,6,1,3,4,2,5,8]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[7,8,2,6,4,5,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[7,2,5,4,6,1,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[7,1,2,4,5,6,3,8]=>[[1,3,4,5,6,8],[2],[7]]=>10
[7,3,2,1,5,6,4,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[3,6,2,1,7,5,4,8]=>[[1,2,5,8],[3,6],[4,7]]=>11
[2,6,7,3,1,5,4,8]=>[[1,2,3,8],[4,6],[5,7]]=>10
[2,1,6,4,7,5,3,8]=>[[1,3,5,8],[2,4,6],[7]]=>16
[7,2,8,5,6,4,3,1]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[7,6,8,5,4,1,3,2]=>[[1,3],[2,7],[4],[5],[6],[8]]=>24
[7,1,8,4,6,5,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[7,8,6,3,1,5,4,2]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[7,6,1,4,5,3,2,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[7,1,5,6,4,3,2,8]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[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]]=>15
[8,2,6,3,1,5,7,4]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[8,2,5,6,7,4,3,1]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[8,2,5,3,4,7,6,1]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[7,5,3,2,4,1,8,6]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[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]]=>12
[3,1,8,4,6,5,7,2]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[6,1,2,3,8,4,7,5]=>[[1,3,4,5,7],[2,6],[8]]=>12
[8,1,6,7,4,2,3,5]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[8,1,6,4,5,2,3,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[8,6,4,1,2,3,7,5]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[8,6,1,4,2,5,7,3]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[8,6,4,2,5,3,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[8,6,4,1,5,7,2,3]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[8,6,1,4,7,2,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[8,6,4,1,5,2,3,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[8,6,7,1,4,5,2,3]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[3,4,7,5,8,2,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[8,7,1,4,6,5,2,3]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[8,3,7,6,4,5,1,2]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[5,3,8,6,4,1,7,2]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[7,4,5,1,2,8,6,3]=>[[1,3,6],[2,5,7],[4,8]]=>20
[6,4,7,1,8,5,2,3]=>[[1,3,5],[2,6,8],[4,7]]=>18
[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]]=>11
[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]]=>11
[8,5,7,6,1,2,4,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[6,8,7,5,2,4,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[5,7,6,8,4,1,3,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[7,3,1,6,8,5,4,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[5,3,1,7,4,8,6,2]=>[[1,4,6],[2,5,7],[3,8]]=>15
[7,3,1,8,6,4,5,2]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[8,6,4,1,7,3,2,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[4,6,8,3,7,1,2,5]=>[[1,2,3],[4,5,8],[6,7]]=>8
[3,5,2,8,4,7,1,6]=>[[1,2,4],[3,5,6],[7,8]]=>12
[6,4,8,3,7,2,1,5]=>[[1,3],[2,5],[4,8],[6],[7]]=>24
[3,6,2,8,7,4,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[6,8,4,2,7,3,1,5]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[3,4,7,8,5,1,2,6]=>[[1,2,3,4],[5,7,8],[6]]=>7
[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]]=>16
[1,7,3,6,8,4,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[2,3,6,5,1,8,7,4]=>[[1,2,3,6],[4,7],[5,8]]=>9
[8,3,1,2,6,4,7,5]=>[[1,4,5,7],[2,6,8],[3]]=>12
[1,7,8,2,4,3,5,6]=>[[1,2,3,7,8],[4,5],[6]]=>6
[3,6,4,7,1,2,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>15
[5,7,4,8,1,3,2,6]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[4,3,7,8,1,5,2,6]=>[[1,3,4],[2,6,8],[5,7]]=>17
[8,5,4,2,6,1,7,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[3,2,6,8,7,4,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[2,3,7,5,1,8,6,4]=>[[1,2,3,6],[4,7],[5,8]]=>9
[6,3,1,2,8,7,4,5]=>[[1,4,5,8],[2,6],[3,7]]=>12
[5,2,1,3,8,7,6,4]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[7,2,1,5,3,8,4,6]=>[[1,4,6,8],[2,5,7],[3]]=>14
[1,5,8,2,4,3,6,7]=>[[1,2,3,7,8],[4,5],[6]]=>6
[4,3,6,8,1,5,2,7]=>[[1,3,4],[2,6,8],[5,7]]=>17
[5,4,6,8,3,1,7,2]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[3,6,8,4,5,1,7,2]=>[[1,2,3,7],[4,5],[6,8]]=>8
[8,6,1,7,2,4,3,5]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[7,3,1,2,8,6,4,5]=>[[1,4,5,8],[2,6],[3,7]]=>12
[2,3,7,6,1,8,5,4]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[3,2,7,8,6,4,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[6,2,8,3,1,4,7,5]=>[[1,3,6,7],[2,4],[5,8]]=>15
[3,1,2,8,7,4,5,6]=>[[1,3,4,7,8],[2,5],[6]]=>12
[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]]=>12
[1,6,8,3,2,4,7,5]=>[[1,2,3,7],[4,6],[5,8]]=>11
[8,5,1,7,2,4,3,6]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[8,4,1,7,3,2,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[8,3,1,6,2,7,5,4]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[1,3,2,8,7,6,4,5]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[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]]=>15
[1,7,2,4,6,3,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>12
[5,6,2,8,4,1,3,7]=>[[1,2,4],[3,5,8],[6,7]]=>13
[3,5,8,4,2,1,6,7]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[2,5,8,3,1,4,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>9
[2,8,1,3,5,7,4,6]=>[[1,2,5,6],[3,4,8],[7]]=>10
[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]]=>8
[3,6,8,7,2,5,4,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[3,4,6,5,8,2,1,7]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[2,4,6,7,8,3,5,1]=>[[1,2,3,4,5],[6,7],[8]]=>4
[1,4,2,5,7,6,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>10
[1,4,2,6,8,5,3,7]=>[[1,2,4,5],[3,6,8],[7]]=>11
[1,2,6,8,3,5,4,7]=>[[1,2,3,4,8],[5,6],[7]]=>5
[1,6,8,3,5,4,2,7]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[1,5,3,2,4,6,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>8
[1,5,8,7,6,3,2,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[1,5,7,6,3,2,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[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]]=>10
[1,2,7,6,4,3,5,8]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[1,8,7,5,2,4,6,3]=>[[1,2,6,7],[3],[4],[5],[8]]=>13
[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]]=>10
[1,8,4,7,5,2,6,3]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[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]]=>10
[1,6,3,7,4,2,5,8]=>[[1,2,4,7,8],[3,5],[6]]=>11
[1,6,3,2,7,5,4,8]=>[[1,2,5,8],[3,6],[4,7]]=>11
[1,4,7,5,2,6,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>8
[1,3,6,4,8,7,5,2]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[1,3,7,6,4,2,5,8]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[1,3,2,4,8,5,7,6]=>[[1,2,4,5,7],[3,6],[8]]=>11
[1,3,8,7,5,2,4,6]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[1,4,6,3,2,7,5,8]=>[[1,2,3,6,8],[4,7],[5]]=>8
[1,4,6,3,2,8,7,5]=>[[1,2,3,6],[4,7],[5,8]]=>9
[1,5,7,6,4,2,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[1,6,3,2,8,4,7,5]=>[[1,2,5,7],[3,6],[4,8]]=>12
[1,6,3,5,2,7,4,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[1,6,3,5,2,8,7,4]=>[[1,2,4,6],[3,7],[5,8]]=>14
[1,8,3,7,5,2,4,6]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[6,4,7,1,5,3,8,2]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[5,3,8,2,6,4,7,1]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[4,3,8,2,6,5,7,1]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[5,7,1,4,8,2,3,6]=>[[1,2,5,8],[3,4,7],[6]]=>12
[6,5,7,1,4,3,8,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[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]]=>15
[1,3,4,2,8,5,7,6]=>[[1,2,3,5,7],[4,6],[8]]=>10
[5,7,6,2,4,8,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[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]]=>15
[3,2,1,4,8,5,7,6]=>[[1,4,5,7],[2,6],[3,8]]=>13
[7,3,1,4,2,6,5,8]=>[[1,4,6,8],[2,5,7],[3]]=>14
[7,4,1,6,2,5,3,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[5,4,1,8,2,6,3,7]=>[[1,4,6,8],[2,5],[3,7]]=>15
[5,3,1,8,2,6,4,7]=>[[1,4,6,8],[2,5],[3,7]]=>15
[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]]=>16
[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]]=>14
[1,2,6,8,7,3,4,5]=>[[1,2,3,4,8],[5,7],[6]]=>7
[1,3,7,8,4,5,6,2]=>[[1,2,3,4,7],[5,6],[8]]=>6
[8,4,2,3,1,6,5,7]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[6,4,5,2,8,1,7,3]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[4,8,6,2,3,1,7,5]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[6,4,2,1,8,5,3,7]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[6,4,2,3,5,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[2,8,6,4,5,1,7,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[8,2,4,6,7,1,5,3]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[2,6,3,1,7,4,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>11
[6,5,1,8,3,2,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[1,4,3,7,2,8,6,5]=>[[1,2,4,6],[3,7],[5,8]]=>14
[1,8,7,4,5,3,2,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>15
[2,8,3,1,4,5,7,6]=>[[1,2,5,6,7],[3,8],[4]]=>8
[8,3,2,1,5,6,7,4]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[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]]=>16
[4,5,3,1,8,7,6,2]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[6,3,4,2,7,8,5,1]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[8,7,4,5,1,6,3,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[6,2,7,8,1,3,5,4]=>[[1,3,4],[2,6,7],[5,8]]=>16
[5,1,8,4,3,7,2,6]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[7,2,8,1,4,5,6,3]=>[[1,3,6,7],[2,5],[4,8]]=>19
[1,4,8,2,5,6,7,3]=>[[1,2,3,6,7],[4,5],[8]]=>7
[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]]=>12
[8,1,4,6,5,3,2,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[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]]=>21
[4,5,8,1,6,7,2,3]=>[[1,2,3,6],[4,5,8],[7]]=>9
[3,7,2,5,8,4,6,1]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[6,7,8,4,1,5,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>11
[6,2,8,3,5,1,4,7]=>[[1,3,5,8],[2,4],[6,7]]=>17
[6,2,7,4,5,3,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[6,8,2,5,3,4,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[6,8,7,5,4,1,2,3]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[7,4,5,6,1,8,2,3]=>[[1,3,4,6],[2,7,8],[5]]=>14
[6,1,8,7,4,5,2,3]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[4,8,7,1,6,3,2,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[4,8,2,7,5,3,6,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[1,3,2,6,8,7,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>11
[1,3,8,2,5,4,6,7]=>[[1,2,3,7,8],[4,5],[6]]=>6
[1,6,2,5,8,7,3,4]=>[[1,2,4,5],[3,6],[7,8]]=>11
[1,6,8,7,2,3,5,4]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[1,6,8,7,2,5,3,4]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[1,5,2,4,8,3,6,7]=>[[1,2,4,5,8],[3,7],[6]]=>12
[1,2,4,5,8,6,3,7]=>[[1,2,3,4,5,8],[6],[7]]=>4
[1,2,8,3,5,4,7,6]=>[[1,2,3,5,7],[4,8],[6]]=>10
[1,3,8,2,5,4,7,6]=>[[1,2,3,7],[4,5,8],[6]]=>7
[1,6,7,5,2,4,8,3]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[1,5,6,4,7,2,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>11
[1,7,4,2,5,8,3,6]=>[[1,2,5,6],[3,7,8],[4]]=>9
[1,6,4,3,7,5,2,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[1,6,5,4,7,2,3,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[1,7,3,2,6,4,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>11
[1,5,8,2,3,6,7,4]=>[[1,2,3,6,7],[4,5],[8]]=>7
[1,3,2,6,8,5,4,7]=>[[1,2,4,5],[3,6,8],[7]]=>11
[1,6,3,2,7,4,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>10
[1,7,8,5,4,2,3,6]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[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]]=>12
[1,5,7,6,2,4,3,8]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[1,8,4,7,3,2,6,5]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[1,3,8,4,2,6,5,7]=>[[1,2,3,6,8],[4,7],[5]]=>8
[1,7,4,2,6,5,8,3]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[1,6,5,8,3,7,4,2]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[1,7,4,8,3,2,5,6]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[1,4,8,3,2,7,5,6]=>[[1,2,3,8],[4,6],[5,7]]=>10
[1,8,3,6,4,5,2,7]=>[[1,2,4,6,8],[3],[5],[7]]=>15
[1,6,4,7,3,2,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[8,2,3,7,4,5,6,1]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[8,5,7,2,3,6,4,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[7,5,2,1,6,8,3,4]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[7,6,1,5,4,8,2,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[7,6,3,2,1,8,4,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[2,8,7,3,4,6,1,5]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[6,5,1,3,7,2,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[8,1,7,3,4,5,2,6]=>[[1,3,5,6,8],[2],[4],[7]]=>17
[7,1,8,3,4,5,2,6]=>[[1,3,5,6,8],[2,4],[7]]=>15
[6,8,7,3,4,2,1,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[3,8,7,1,2,4,5,6]=>[[1,2,6,7,8],[3,5],[4]]=>11
[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]]=>23
[7,1,3,6,4,5,8,2]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[7,1,5,3,6,4,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[6,1,5,3,7,8,2,4]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[5,8,7,1,2,6,3,4]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[6,8,2,3,4,7,1,5]=>[[1,2,5,6],[3,4],[7,8]]=>10
[5,1,7,3,8,6,2,4]=>[[1,3,5],[2,4,6],[7,8]]=>17
[6,1,3,2,4,7,8,5]=>[[1,3,5,6,7],[2,8],[4]]=>14
[6,2,1,3,4,7,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>9
[3,2,5,8,7,4,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[4,2,5,8,7,3,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[8,3,4,1,6,5,2,7]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[3,4,8,5,7,2,1,6]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[3,6,4,8,5,7,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[5,8,4,7,3,6,2,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>13
[4,2,8,7,3,1,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[6,5,8,2,1,7,4,3]=>[[1,3],[2,6],[4,7],[5,8]]=>21
[6,1,4,3,8,7,2,5]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[5,1,3,2,6,8,7,4]=>[[1,3,5,6],[2,7],[4,8]]=>16
[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]]=>9
[4,2,1,8,7,6,3,5]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[3,2,5,8,7,1,4,6]=>[[1,3,4],[2,5,8],[6,7]]=>14
[5,6,3,8,7,2,1,4]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[2,5,8,4,7,1,6,3]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[1,6,2,4,8,5,7,3]=>[[1,2,4,5,7],[3,6],[8]]=>11
[3,1,6,5,8,7,2,4]=>[[1,3,5],[2,4,6],[7,8]]=>17
[4,8,5,3,6,7,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[1,8,5,3,4,7,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[2,7,1,3,6,4,5,8]=>[[1,2,5,7,8],[3,4],[6]]=>10
[8,1,7,3,5,4,6,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[1,8,6,3,2,5,4,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[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]]=>14
[6,4,5,8,3,1,7,2]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[8,6,2,1,5,7,3,4]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[4,6,2,8,5,3,7,1]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[8,7,2,4,1,5,3,6]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[7,5,3,4,8,6,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[2,8,3,1,4,6,7,5]=>[[1,2,5,6,7],[3,8],[4]]=>8
[4,3,6,5,1,2,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>14
[5,8,3,7,6,4,2,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>16
[1,3,8,7,6,5,2,4]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[4,8,7,2,6,3,1,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[1,8,7,2,6,3,5,4]=>[[1,2,5,7],[3],[4],[6],[8]]=>16
[8,7,2,1,4,3,5,6]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[2,8,7,1,6,3,4,5]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[4,2,8,7,6,5,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[1,2,5,7,4,8,6,3]=>[[1,2,3,4,6],[5,7],[8]]=>7
[6,2,1,8,7,5,3,4]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[6,3,8,7,4,5,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[2,8,3,4,1,5,6,7]=>[[1,2,4,6,7,8],[3],[5]]=>11
[1,3,7,5,4,8,6,2]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[4,5,6,3,1,8,2,7]=>[[1,2,3,6],[4,7,8],[5]]=>8
[1,5,6,3,8,4,2,7]=>[[1,2,3,5],[4,6,8],[7]]=>10
[2,6,5,3,8,4,1,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[5,7,3,8,4,2,6,1]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[5,3,6,2,8,4,1,7]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[2,3,6,5,4,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[3,7,5,4,8,2,6,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[5,3,7,1,2,8,4,6]=>[[1,3,6,8],[2,5,7],[4]]=>19
[6,3,8,7,2,5,4,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[6,8,4,1,7,5,2,3]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[8,1,4,6,7,5,2,3]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[2,6,8,1,4,7,5,3]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[6,4,8,1,2,7,5,3]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[4,2,8,1,6,7,5,3]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[8,1,2,6,4,7,5,3]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[8,4,1,6,2,7,5,3]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[4,8,1,2,6,7,5,3]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[4,8,2,1,6,7,5,3]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[8,2,4,6,1,7,5,3]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[5,4,7,6,3,1,2,8]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[3,6,4,8,1,5,2,7]=>[[1,2,4,8],[3,6],[5,7]]=>15
[3,6,8,4,1,5,2,7]=>[[1,2,3,8],[4,6],[5,7]]=>10
[8,7,1,4,2,3,5,6]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[3,8,6,4,1,5,2,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[8,2,6,5,7,1,3,4]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[4,6,1,3,2,8,7,5]=>[[1,2,6],[3,4,7],[5,8]]=>10
[7,1,4,8,2,3,6,5]=>[[1,3,4,7],[2,6],[5,8]]=>17
[4,5,3,6,7,1,8,2]=>[[1,2,4,5,7],[3,8],[6]]=>11
[1,4,7,8,3,5,2,6]=>[[1,2,3,4],[5,6,8],[7]]=>6
[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]]=>13
[6,1,2,5,4,8,7,3]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[8,4,1,7,3,5,6,2]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[8,4,1,2,5,7,3,6]=>[[1,4,5,6],[2,7,8],[3]]=>10
[2,4,5,6,8,3,1,7]=>[[1,2,3,4,5],[6,8],[7]]=>5
[3,4,5,8,6,2,1,7]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[4,5,1,8,6,3,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[8,3,7,2,1,6,5,4]=>[[1,3],[2,6],[4,7],[5],[8]]=>22
[8,4,7,6,2,5,1,3]=>[[1,3],[2,6],[4,8],[5],[7]]=>23
[8,4,7,3,6,2,1,5]=>[[1,3],[2,5],[4,8],[6],[7]]=>24
[3,8,7,5,6,4,1,2]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[3,8,7,5,6,2,1,4]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[3,8,7,5,6,2,4,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[2,8,7,5,6,4,1,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[1,5,6,3,8,2,7,4]=>[[1,2,3,5],[4,7],[6,8]]=>12
[2,6,3,8,4,7,1,5]=>[[1,2,4,6],[3,5],[7,8]]=>14
[2,6,3,5,7,8,1,4]=>[[1,2,4,5,6],[3,8],[7]]=>10
[1,5,6,3,7,2,8,4]=>[[1,2,3,5,7],[4,8],[6]]=>10
[1,7,5,3,6,2,8,4]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[1,5,7,3,4,2,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>7
[1,5,8,3,4,2,7,6]=>[[1,2,3,7],[4,5],[6,8]]=>8
[1,4,5,3,7,2,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>10
[1,4,5,3,8,2,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>12
[6,5,1,4,2,7,8,3]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[6,5,1,4,2,8,7,3]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[1,7,5,4,2,8,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[5,1,6,8,3,7,2,4]=>[[1,3,4],[2,5,6],[7,8]]=>13
[5,4,7,1,8,6,3,2]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[1,4,8,2,6,5,3,7]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[8,5,1,3,6,2,4,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[7,5,1,8,3,4,2,6]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[5,2,8,1,7,4,3,6]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[1,2,5,6,8,7,3,4]=>[[1,2,3,4,5],[6,8],[7]]=>5
[1,5,6,8,2,7,4,3]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[2,6,7,3,4,1,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>7
[1,6,5,7,8,2,4,3]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[1,5,6,7,2,8,4,3]=>[[1,2,3,4,6],[5,7],[8]]=>7
[3,7,6,1,8,2,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>10
[1,3,7,2,6,4,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>7
[1,5,8,6,7,3,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[1,6,5,8,7,2,4,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[1,5,7,6,2,8,3,4]=>[[1,2,3,6],[4,7,8],[5]]=>8
[1,2,5,8,6,7,4,3]=>[[1,2,3,4,6],[5],[7],[8]]=>9
[1,2,6,5,7,3,8,4]=>[[1,2,3,5,7],[4,8],[6]]=>10
[1,7,5,8,6,4,2,3]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[3,6,5,8,1,2,7,4]=>[[1,2,4],[3,6,7],[5,8]]=>15
[5,4,7,8,1,6,3,2]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[2,5,6,8,1,3,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>5
[5,3,6,8,1,2,7,4]=>[[1,3,4],[2,6,7],[5,8]]=>16
[4,6,5,8,3,2,7,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[4,5,6,8,2,3,7,1]=>[[1,2,3,4],[5,6,7],[8]]=>5
[2,5,8,7,1,6,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[4,7,5,8,3,6,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[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]]=>7
[3,6,8,7,5,2,4,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[6,4,7,8,5,1,3,2]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[7,8,4,6,5,3,1,2]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[6,8,4,7,5,1,3,2]=>[[1,2],[3,4],[5,7],[6],[8]]=>15
[7,6,1,2,3,5,4,8]=>[[1,4,5,6,8],[2],[3],[7]]=>12
[2,8,7,5,1,6,3,4]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[8,7,6,4,2,1,5,3]=>[[1,7],[2,8],[3],[4],[5],[6]]=>18
[3,8,7,5,2,6,4,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[3,8,7,5,1,2,6,4]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[5,8,3,7,1,4,6,2]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[3,8,7,4,2,6,5,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[5,8,3,2,4,7,6,1]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[5,3,8,2,4,6,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[4,5,8,3,2,6,1,7]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[5,8,2,1,4,6,3,7]=>[[1,2,6,8],[3,5],[4,7]]=>14
[4,1,5,8,3,6,2,7]=>[[1,3,4,8],[2,5,6],[7]]=>12
[4,5,8,3,6,1,2,7]=>[[1,2,3,8],[4,5],[6,7]]=>7
[3,2,7,1,8,5,4,6]=>[[1,3,5],[2,6,8],[4,7]]=>18
[4,7,8,5,2,3,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[6,2,7,8,1,5,3,4]=>[[1,3,4],[2,6,8],[5,7]]=>17
[2,7,1,3,8,5,4,6]=>[[1,2,5,8],[3,4,6],[7]]=>10
[2,6,7,8,4,1,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>7
[2,6,7,8,4,3,1,5]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[7,1,2,6,3,8,4,5]=>[[1,3,4,6,8],[2,7],[5]]=>14
[8,1,2,6,5,3,7,4]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[7,4,1,8,2,5,3,6]=>[[1,4,6,8],[2,5],[3,7]]=>15
[7,4,8,3,1,2,6,5]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[8,4,5,3,1,6,7,2]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[8,2,3,1,6,7,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>15
[8,2,1,7,4,3,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[7,2,6,8,4,1,3,5]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[7,2,5,1,6,8,3,4]=>[[1,3,5,6],[2,7,8],[4]]=>15
[6,2,1,7,4,8,3,5]=>[[1,4,6],[2,5,8],[3,7]]=>16
[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]]=>14
[3,7,5,8,2,4,6,1]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[5,2,1,6,3,4,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>13
[5,1,3,4,6,2,8,7]=>[[1,3,4,5,7],[2,8],[6]]=>12
[3,8,4,5,7,2,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[3,8,4,7,5,6,2,1]=>[[1,2,4,6],[3],[5],[7],[8]]=>18
[4,2,8,6,3,7,5,1]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[4,1,7,6,3,8,5,2]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[7,4,1,8,5,3,6,2]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[3,5,6,8,4,7,1,2]=>[[1,2,3,4],[5,6],[7,8]]=>6
[5,4,1,8,6,7,2,3]=>[[1,4,6],[2,5,8],[3,7]]=>16
[6,2,8,4,5,3,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[4,5,2,1,8,7,3,6]=>[[1,2,5],[3,6,8],[4,7]]=>12
[4,7,3,8,2,6,5,1]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[4,7,3,1,8,6,2,5]=>[[1,2,5],[3,6,8],[4,7]]=>12
[6,2,1,3,7,4,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>12
[6,3,7,1,2,5,8,4]=>[[1,3,6,7],[2,5],[4,8]]=>19
[5,1,4,7,8,2,6,3]=>[[1,3,4,5],[2,7],[6,8]]=>14
[7,2,5,8,1,3,6,4]=>[[1,3,4],[2,6,7],[5,8]]=>16
[8,3,6,7,2,4,5,1]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[3,8,7,5,2,1,6,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[3,8,5,6,2,7,4,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[3,6,5,8,4,2,7,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[6,8,3,2,5,7,4,1]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[4,1,5,6,8,7,3,2]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[8,4,2,3,6,7,5,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[6,1,2,4,5,7,8,3]=>[[1,3,4,5,6,7],[2],[8]]=>9
[4,5,1,3,7,6,8,2]=>[[1,2,5,7],[3,4,6],[8]]=>11
[3,5,4,8,6,2,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[3,6,2,4,5,8,7,1]=>[[1,2,5,6],[3,4,7],[8]]=>9
[8,1,3,7,4,5,6,2]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[8,1,5,3,6,4,7,2]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[2,6,4,8,3,1,5,7]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[2,6,4,1,5,8,7,3]=>[[1,2,5,6],[3,7],[4,8]]=>10
[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]]=>23
[7,6,5,4,1,8,2,3]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[8,1,5,4,7,6,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[2,5,1,4,6,7,3,8]=>[[1,2,5,6,8],[3,4],[7]]=>9
[3,6,4,1,5,7,8,2]=>[[1,2,5,6,7],[3,8],[4]]=>8
[7,6,5,2,8,4,1,3]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[3,1,6,5,2,8,7,4]=>[[1,3,6],[2,4,7],[5,8]]=>16
[1,7,2,4,3,5,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>12
[3,8,1,7,4,2,6,5]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[8,1,7,4,3,5,6,2]=>[[1,3,6,7],[2],[4],[5],[8]]=>19
[6,8,2,4,5,3,7,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[4,8,5,3,6,1,7,2]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[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]]=>16
[2,7,3,1,8,4,5,6]=>[[1,2,5,7,8],[3,6],[4]]=>10
[1,2,8,3,5,6,4,7]=>[[1,2,3,5,6,8],[4],[7]]=>8
[3,5,7,4,8,1,6,2]=>[[1,2,3,5],[4,7],[6,8]]=>12
[2,8,1,3,5,4,6,7]=>[[1,2,5,7,8],[3,4],[6]]=>10
[1,5,2,8,6,4,3,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[7,4,8,6,3,1,2,5]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[3,6,8,4,1,2,5,7]=>[[1,2,3,8],[4,6,7],[5]]=>9
[4,7,8,5,2,1,3,6]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[6,1,5,2,8,7,3,4]=>[[1,3,5,8],[2,6],[4,7]]=>17
[8,1,3,5,7,4,2,6]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[3,1,8,5,4,7,2,6]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[3,1,6,4,8,5,2,7]=>[[1,3,5,8],[2,4,6],[7]]=>16
[5,1,3,4,2,6,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>13
[3,2,6,4,1,5,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[5,4,2,1,8,3,6,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[4,2,5,1,8,7,3,6]=>[[1,3,5],[2,6,8],[4,7]]=>18
[6,8,2,7,1,4,3,5]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[1,8,4,7,3,2,5,6]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[8,6,3,1,5,7,2,4]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[5,8,3,1,4,7,6,2]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[1,2,5,4,7,8,3,6]=>[[1,2,3,5,6],[4,8],[7]]=>9
[1,8,3,2,6,4,7,5]=>[[1,2,5,7],[3,6,8],[4]]=>11
[4,7,1,2,5,3,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>10
[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]]=>16
[7,6,4,1,8,3,5,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[5,4,1,6,7,3,2,8]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[7,4,1,6,5,8,2,3]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[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]]=>14
[1,6,2,3,5,7,8,4]=>[[1,2,4,5,6,7],[3],[8]]=>8
[1,3,4,8,5,2,6,7]=>[[1,2,3,4,7,8],[5],[6]]=>5
[8,2,4,6,1,7,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>14
[1,5,7,2,3,6,8,4]=>[[1,2,3,6,7],[4,5],[8]]=>7
[7,3,1,4,2,5,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>13
[3,2,5,7,8,4,1,6]=>[[1,3,4,5],[2,6,8],[7]]=>12
[4,3,5,1,6,2,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>16
[8,6,3,5,4,1,2,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[8,3,2,6,1,5,4,7]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[8,5,1,7,4,6,2,3]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[4,8,1,7,6,3,5,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[8,5,1,7,4,3,6,2]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[8,5,7,6,2,1,3,4]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[5,4,8,3,1,7,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[5,1,4,8,3,2,7,6]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[4,8,1,7,6,5,2,3]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[4,3,8,7,2,6,1,5]=>[[1,3],[2,4],[5,6],[7,8]]=>18
[3,8,7,2,6,4,1,5]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[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]]=>14
[8,7,6,3,5,4,1,2]=>[[1,5],[2,8],[3],[4],[6],[7]]=>21
[2,8,4,7,6,1,5,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[2,5,4,8,3,1,7,6]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[5,4,8,2,1,3,7,6]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[3,8,7,2,6,1,5,4]=>[[1,2],[3,5],[4,7],[6],[8]]=>19
[1,8,4,7,6,3,5,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[1,8,3,7,6,5,2,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[1,4,3,8,7,2,6,5]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[7,1,5,4,6,2,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[7,4,1,3,6,2,5,8]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[5,4,3,1,7,6,2,8]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[2,6,8,3,1,7,4,5]=>[[1,2,3,8],[4,6],[5,7]]=>10
[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]]=>18
[7,8,2,6,3,5,4,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[7,2,6,5,8,3,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[5,6,3,1,4,2,7,8]=>[[1,2,7,8],[3,5],[4,6]]=>12
[2,6,5,3,4,8,7,1]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[2,6,1,5,3,4,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>7
[3,4,7,8,5,1,6,2]=>[[1,2,3,4],[5,7],[6,8]]=>8
[3,6,2,4,7,8,5,1]=>[[1,2,5,6],[3,4,7],[8]]=>9
[5,3,6,4,8,7,2,1]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[1,5,4,8,6,2,7,3]=>[[1,2,4,7],[3,5],[6,8]]=>13
[4,5,2,7,6,3,8,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[7,6,2,5,3,8,4,1]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[8,4,6,1,3,7,2,5]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[4,8,5,1,2,3,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>11
[8,6,2,4,5,1,3,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[4,5,1,3,8,6,2,7]=>[[1,2,5,8],[3,4,6],[7]]=>10
[7,4,2,3,6,8,5,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[2,1,6,7,4,8,3,5]=>[[1,3,4,6],[2,5,8],[7]]=>15
[7,8,1,3,6,4,5,2]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[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]]=>21
[5,7,8,1,6,3,2,4]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[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]]=>17
[7,8,3,1,6,2,5,4]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[6,7,8,4,3,1,5,2]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[7,8,3,6,4,1,5,2]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[7,3,8,1,6,4,5,2]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[1,7,5,8,2,4,6,3]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[7,5,2,8,1,4,6,3]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[3,7,8,2,6,5,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[3,7,8,2,1,6,4,5]=>[[1,2,3],[4,6,8],[5,7]]=>11
[7,8,1,6,3,5,4,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[6,7,8,2,5,4,3,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[6,7,8,3,1,5,4,2]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[7,8,1,6,2,5,4,3]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[5,6,1,4,3,8,2,7]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[5,1,6,8,3,4,7,2]=>[[1,3,4,7],[2,5,6],[8]]=>13
[7,1,6,8,5,4,3,2]=>[[1,3,4],[2],[5],[6],[7],[8]]=>21
[5,6,8,1,2,3,7,4]=>[[1,2,3,7],[4,5,6],[8]]=>7
[4,8,1,2,7,6,5,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[4,6,1,2,8,5,7,3]=>[[1,2,5,7],[3,4,6],[8]]=>11
[6,4,7,3,5,2,1,8]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[5,7,8,4,2,1,3,6]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[3,1,6,2,5,7,8,4]=>[[1,3,5,6,7],[2,4],[8]]=>14
[1,6,4,5,2,7,3,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[6,2,1,4,5,3,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>11
[1,2,4,6,8,3,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>4
[1,3,5,8,2,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6
[6,1,3,7,2,8,5,4]=>[[1,3,4,6],[2,7],[5,8]]=>15
[6,4,5,8,3,7,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[8,1,4,3,6,7,2,5]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[2,6,8,4,3,1,7,5]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[8,1,5,2,6,4,3,7]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[1,6,7,4,2,8,3,5]=>[[1,2,3,6],[4,7,8],[5]]=>8
[1,7,8,4,3,6,2,5]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[1,4,7,2,3,6,8,5]=>[[1,2,3,6,7],[4,5],[8]]=>7
[3,1,2,6,7,8,5,4]=>[[1,3,4,5,6],[2,7],[8]]=>10
[3,8,1,6,4,2,7,5]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[1,6,3,4,7,8,2,5]=>[[1,2,4,5,6],[3,8],[7]]=>10
[3,1,5,7,6,2,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>13
[6,3,1,4,2,7,8,5]=>[[1,4,6,7],[2,5,8],[3]]=>13
[2,4,3,7,6,1,8,5]=>[[1,2,4,7],[3,5],[6,8]]=>13
[3,1,7,6,5,2,8,4]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[1,4,7,6,8,3,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[7,2,1,5,6,3,8,4]=>[[1,4,5,7],[2,6,8],[3]]=>12
[4,3,1,8,6,2,7,5]=>[[1,4,7],[2,5,8],[3,6]]=>14
[3,1,5,2,8,7,6,4]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[1,2,8,4,3,7,6,5]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[2,6,1,8,7,4,3,5]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[7,5,1,8,3,2,6,4]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[4,7,6,3,1,8,2,5]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[5,3,1,8,6,2,4,7]=>[[1,4,7,8],[2,5],[3,6]]=>13
[5,1,8,6,3,2,4,7]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[1,5,4,2,8,6,3,7]=>[[1,2,5,8],[3,6],[4,7]]=>11
[1,4,2,8,5,3,7,6]=>[[1,2,4,7],[3,5,8],[6]]=>12
[8,3,1,6,4,2,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[1,7,4,8,3,5,2,6]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[7,3,2,4,8,5,1,6]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[5,7,8,1,4,2,6,3]=>[[1,2,3],[4,5,7],[6,8]]=>9
[2,6,3,8,1,7,5,4]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[2,5,1,8,6,3,7,4]=>[[1,2,4,7],[3,5,8],[6]]=>12
[2,8,6,4,1,7,3,5]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[1,8,4,2,7,5,3,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[6,5,1,7,2,8,4,3]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[2,8,1,7,5,3,6,4]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[1,2,8,7,6,4,3,5]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[4,1,7,8,6,3,5,2]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[1,6,5,7,8,4,2,3]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[4,1,8,7,6,3,5,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[4,8,2,6,3,5,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[4,3,5,7,1,6,2,8]=>[[1,3,4,8],[2,6],[5,7]]=>16
[4,1,8,5,3,6,2,7]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[6,4,2,5,3,1,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[3,1,5,8,2,7,4,6]=>[[1,3,4,8],[2,5,6],[7]]=>12
[6,4,1,5,3,2,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[6,2,1,5,4,3,7,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[3,1,8,5,4,6,2,7]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[6,1,8,4,5,3,2,7]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[4,5,2,7,1,6,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>15
[4,3,5,7,1,6,8,2]=>[[1,3,4,7],[2,6],[5,8]]=>17
[4,1,8,5,3,6,7,2]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[6,3,8,4,5,1,7,2]=>[[1,3,5,7],[2,4],[6,8]]=>18
[3,1,6,8,5,7,4,2]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[2,6,1,8,5,7,4,3]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[6,3,8,4,5,2,1,7]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[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]]=>19
[2,1,6,8,5,3,7,4]=>[[1,3,4],[2,5,7],[6,8]]=>15
[3,2,6,8,5,4,7,1]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[4,1,8,5,2,6,3,7]=>[[1,3,6,8],[2,4,7],[5]]=>15
[3,1,6,8,5,2,4,7]=>[[1,3,4,8],[2,5,7],[6]]=>14
[6,5,8,7,4,1,2,3]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[6,5,8,7,4,2,1,3]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[6,5,8,7,2,4,1,3]=>[[1,3],[2,4],[5,6],[7,8]]=>18
[6,2,8,4,5,7,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>16
[6,1,8,4,5,7,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[4,2,7,3,5,8,6,1]=>[[1,3,5,6],[2,4,7],[8]]=>15
[3,6,2,4,8,5,7,1]=>[[1,2,5,7],[3,4,6],[8]]=>11
[3,5,1,8,4,7,6,2]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[3,6,1,8,5,4,7,2]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[2,4,8,3,7,6,5,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[3,6,8,2,5,7,4,1]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[2,6,8,5,4,3,7,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[3,6,8,2,5,4,7,1]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[4,6,8,3,2,5,7,1]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[4,6,2,8,3,5,7,1]=>[[1,2,4,7],[3,5,6],[8]]=>12
[3,6,1,8,5,7,4,2]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[5,2,6,8,4,1,7,3]=>[[1,3,4],[2,5,7],[6,8]]=>15
[4,6,3,8,7,2,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[3,5,8,2,7,4,6,1]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[2,6,8,5,7,4,3,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[2,4,8,7,6,3,5,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[7,5,1,6,3,2,8,4]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[2,7,6,3,4,1,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[5,7,6,3,1,2,8,4]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[4,8,2,1,7,5,6,3]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[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]]=>12
[8,2,1,7,5,3,6,4]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[8,2,1,6,7,3,5,4]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[6,2,8,1,7,5,3,4]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[3,5,1,8,7,6,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[4,7,8,3,5,6,1,2]=>[[1,2,3],[4,5,6],[7,8]]=>7
[3,2,5,6,8,4,7,1]=>[[1,3,4,5],[2,6,7],[8]]=>11
[8,4,5,2,6,3,7,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[2,5,6,4,8,3,7,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[4,2,5,7,3,8,1,6]=>[[1,3,4,6],[2,5,8],[7]]=>15
[4,7,3,1,6,8,2,5]=>[[1,2,6],[3,5,8],[4,7]]=>15
[4,2,7,6,8,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>18
[1,7,4,6,8,3,2,5]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[4,7,2,5,6,3,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[5,4,1,3,7,8,2,6]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[6,1,5,8,3,7,2,4]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[7,2,1,6,8,3,5,4]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[5,6,4,1,8,3,2,7]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[2,3,7,8,5,1,6,4]=>[[1,2,3,4],[5,7],[6,8]]=>8
[1,2,6,7,4,3,5,8]=>[[1,2,3,4,8],[5,7],[6]]=>7
[5,8,6,3,4,1,2,7]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[6,2,3,1,8,5,4,7]=>[[1,3,5,8],[2,6],[4,7]]=>17
[5,1,2,6,4,8,3,7]=>[[1,3,4,6],[2,5,8],[7]]=>15
[8,6,2,3,7,5,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[4,5,2,8,6,1,3,7]=>[[1,2,4,8],[3,5],[6,7]]=>12
[3,4,8,2,5,6,1,7]=>[[1,2,3,6,8],[4,5],[7]]=>8
[6,8,2,7,5,3,1,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[6,3,2,5,8,4,1,7]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[5,6,7,2,8,4,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>10
[5,8,3,6,4,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[4,3,8,5,2,7,1,6]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[2,8,4,5,1,6,3,7]=>[[1,2,4,6,8],[3,7],[5]]=>13
[3,2,5,8,4,7,1,6]=>[[1,3,4],[2,5,6],[7,8]]=>13
[2,5,8,1,3,4,7,6]=>[[1,2,3,7],[4,5,6],[8]]=>7
[3,5,1,8,7,4,2,6]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[4,6,1,3,8,2,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>13
[8,6,1,2,3,5,7,4]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[5,1,7,8,3,2,4,6]=>[[1,3,4,8],[2,5,7],[6]]=>14
[3,1,7,6,2,8,5,4]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[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]]=>17
[6,1,4,2,8,7,3,5]=>[[1,3,5,8],[2,6],[4,7]]=>17
[3,7,2,6,8,4,5,1]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[4,6,5,2,7,8,3,1]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[5,4,6,2,7,8,3,1]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[5,1,8,6,4,2,7,3]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[6,2,1,8,5,7,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[5,4,6,2,3,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[6,5,7,8,1,3,4,2]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[2,1,7,6,8,4,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[6,4,7,2,8,3,1,5]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[6,3,2,7,8,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[4,7,3,1,5,2,8,6]=>[[1,2,7],[3,5,8],[4,6]]=>13
[4,7,6,3,1,5,8,2]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[2,7,3,1,8,5,4,6]=>[[1,2,5,8],[3,6],[4,7]]=>11
[2,8,3,1,7,4,5,6]=>[[1,2,5,7,8],[3,6],[4]]=>10
[1,8,2,7,3,5,6,4]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[1,7,4,8,6,5,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[1,6,3,5,7,4,8,2]=>[[1,2,4,5,7],[3],[6],[8]]=>13
[1,5,4,7,2,8,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>13
[3,8,5,2,6,1,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[3,7,4,8,5,2,6,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[8,1,2,6,5,3,4,7]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[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]]=>15
[3,4,2,8,6,7,5,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[3,7,8,6,1,4,2,5]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[3,6,1,5,2,7,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>8
[8,1,2,6,3,5,7,4]=>[[1,3,4,6,7],[2],[5],[8]]=>15
[6,2,8,4,7,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>18
[3,7,8,4,2,5,6,1]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[3,4,2,8,5,1,6,7]=>[[1,2,4,7,8],[3,5],[6]]=>11
[6,8,2,7,5,4,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[1,8,4,3,7,6,2,5]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[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]]=>13
[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]]=>16
[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]]=>10
[2,7,8,5,1,4,6,3]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[3,5,8,7,4,1,6,2]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[7,4,6,8,3,5,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[2,7,8,1,3,6,4,5]=>[[1,2,3,8],[4,5,6],[7]]=>6
[2,7,8,1,5,4,6,3]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[2,7,8,1,4,5,6,3]=>[[1,2,3,7],[4,5,6],[8]]=>7
[3,6,7,8,2,4,1,5]=>[[1,2,3,4],[5,6,8],[7]]=>6
[4,5,7,8,6,3,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[5,4,6,8,7,3,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[4,5,8,6,7,1,3,2]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[5,7,6,8,2,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[3,7,6,8,2,4,1,5]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[5,4,7,8,6,3,1,2]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[4,5,7,8,2,6,1,3]=>[[1,2,3,4],[5,6],[7,8]]=>6
[4,5,6,8,7,3,1,2]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[6,1,5,3,8,4,7,2]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[1,8,6,2,5,4,7,3]=>[[1,2,5,7],[3],[4],[6],[8]]=>16
[3,8,4,1,7,5,2,6]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[6,2,7,4,8,3,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[2,8,5,1,4,3,7,6]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[6,8,2,7,5,1,4,3]=>[[1,2],[3,4],[5,7],[6],[8]]=>15
[8,3,4,5,6,1,7,2]=>[[1,3,4,5,7],[2,8],[6]]=>12
[5,3,6,4,7,2,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[4,2,6,5,7,3,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[5,4,6,2,7,3,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[3,2,6,5,8,4,1,7]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[3,2,6,5,8,7,1,4]=>[[1,3,5],[2,4,6],[7,8]]=>17
[4,2,6,5,8,7,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>17
[5,2,6,4,8,7,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>17
[5,4,7,6,8,2,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[6,4,7,5,8,3,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[4,2,7,5,8,6,1,3]=>[[1,3,5],[2,4,6],[7,8]]=>17
[3,2,7,5,8,4,1,6]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[4,3,7,2,8,5,1,6]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[4,3,6,2,8,5,1,7]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[4,3,7,6,8,5,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[5,3,7,6,8,2,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[5,3,7,2,8,6,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[3,2,6,4,8,7,1,5]=>[[1,3,5],[2,4,6],[7,8]]=>17
[4,2,7,3,8,6,1,5]=>[[1,3,5],[2,4,6],[7,8]]=>17
[5,2,7,6,8,3,1,4]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[3,2,7,6,8,4,1,5]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[3,2,7,6,8,5,1,4]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[6,2,7,5,8,4,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[4,8,1,7,3,2,5,6]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[3,7,4,8,2,1,5,6]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[3,7,8,2,5,4,6,1]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[4,7,5,8,3,2,6,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[6,7,1,3,2,5,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>9
[8,7,6,4,1,5,3,2]=>[[1,6],[2,7],[3],[4],[5],[8]]=>19
[3,8,5,2,6,4,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[7,2,5,3,4,8,1,6]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[4,2,5,3,7,8,6,1]=>[[1,3,5,6],[2,4,7],[8]]=>15
[5,3,6,2,4,1,8,7]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[7,8,6,2,3,5,4,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[5,8,2,6,3,7,4,1]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[4,8,2,3,7,5,6,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[7,5,6,2,3,8,4,1]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[2,7,5,6,4,3,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>17
[2,8,4,3,7,5,6,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[3,8,5,7,6,4,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[7,8,6,3,5,4,2,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>20
[2,7,6,3,8,5,4,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[7,4,2,5,6,3,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[6,2,7,5,3,8,4,1]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[2,4,8,3,7,5,6,1]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[4,8,3,7,5,6,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[6,2,5,8,3,7,4,1]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[4,7,3,8,2,5,6,1]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[8,2,5,6,3,7,4,1]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[4,5,3,7,1,2,6,8]=>[[1,2,4,8],[3,6,7],[5]]=>14
[8,5,6,4,1,3,2,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[6,7,2,8,4,3,1,5]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[6,7,3,2,8,4,1,5]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[4,7,8,3,1,5,2,6]=>[[1,2,3],[4,6,8],[5,7]]=>11
[4,5,8,1,3,2,6,7]=>[[1,2,3,8],[4,5,7],[6]]=>8
[4,7,8,1,6,3,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[4,7,1,3,8,6,5,2]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[5,7,2,8,3,4,6,1]=>[[1,2,4,7],[3,5,6],[8]]=>12
[3,7,2,8,5,6,4,1]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[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]]=>9
[2,5,6,1,8,7,3,4]=>[[1,2,3,5],[4,6,8],[7]]=>10
[3,6,2,8,4,7,5,1]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[8,5,6,3,1,4,2,7]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[5,7,8,3,4,6,2,1]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[3,5,1,8,6,4,2,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[7,5,3,8,6,4,2,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[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]]=>8
[7,5,8,3,6,4,2,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[1,5,8,6,3,4,2,7]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[3,7,5,8,2,6,4,1]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[5,7,8,1,4,6,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>7
[1,3,7,8,4,2,6,5]=>[[1,2,3,4],[5,7],[6,8]]=>8
[6,1,2,5,3,4,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>12
[1,4,6,5,7,2,3,8]=>[[1,2,3,5,8],[4,7],[6]]=>11
[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]]=>19
[1,3,2,6,8,4,7,5]=>[[1,2,4,5],[3,6,7],[8]]=>10
[8,1,7,5,4,2,6,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[1,2,6,4,7,3,5,8]=>[[1,2,3,5,8],[4,7],[6]]=>11
[1,6,4,3,7,2,5,8]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[5,7,8,3,2,6,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[8,4,5,1,3,7,6,2]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[8,6,4,3,7,1,5,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>19
[7,3,1,8,6,5,2,4]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[2,7,3,1,4,8,6,5]=>[[1,2,5,6],[3,7],[4,8]]=>10
[3,1,6,5,7,8,4,2]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[4,3,1,5,8,7,6,2]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[4,7,1,3,2,5,6,8]=>[[1,2,6,7,8],[3,4],[5]]=>7
[1,7,2,5,6,8,4,3]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[4,7,6,8,3,1,5,2]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[3,5,4,7,1,8,6,2]=>[[1,2,4,6],[3,7],[5,8]]=>14
[7,1,5,4,2,3,6,8]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[7,1,3,6,4,5,2,8]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[6,1,3,8,4,5,2,7]=>[[1,3,4,6,8],[2,5],[7]]=>14
[2,1,8,7,3,6,5,4]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[5,8,6,3,1,2,7,4]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[5,8,2,7,1,3,6,4]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[2,6,5,4,1,3,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[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]]=>13
[5,4,2,1,8,7,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[6,2,1,5,4,3,8,7]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[1,4,2,6,7,8,5,3]=>[[1,2,4,5,6],[3,7],[8]]=>9
[1,4,2,5,6,8,7,3]=>[[1,2,4,5,6],[3,7],[8]]=>9
[2,5,3,6,7,8,4,1]=>[[1,2,4,5,6],[3,7],[8]]=>9
[1,8,6,2,4,3,5,7]=>[[1,2,5,7,8],[3],[4],[6]]=>12
[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]]=>7
[6,5,2,8,7,4,3,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[7,8,5,4,2,1,6,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>15
[7,5,2,8,6,4,3,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[7,8,3,2,6,5,4,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[8,2,6,3,7,5,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[8,6,7,2,5,3,1,4]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[1,6,2,7,8,4,5,3]=>[[1,2,4,5],[3,6,7],[8]]=>10
[8,6,2,7,5,4,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[1,6,8,2,7,5,3,4]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[7,6,3,2,8,1,5,4]=>[[1,5],[2,7],[3,8],[4],[6]]=>19
[5,1,7,4,3,8,6,2]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[8,6,3,7,2,4,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[1,7,8,6,4,2,3,5]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[7,2,8,6,4,1,3,5]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[1,5,3,7,4,2,6,8]=>[[1,2,4,7,8],[3,5],[6]]=>11
[1,7,6,4,3,2,8,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[1,7,6,3,4,2,5,8]=>[[1,2,5,7,8],[3],[4],[6]]=>12
[1,2,7,4,3,8,6,5]=>[[1,2,3,6],[4,7],[5,8]]=>9
[1,5,4,2,3,8,7,6]=>[[1,2,5,6],[3,7],[4,8]]=>10
[1,5,3,2,4,6,7,8]=>[[1,2,5,6,7,8],[3],[4]]=>7
[1,5,4,2,3,7,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>8
[1,2,7,6,3,5,8,4]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[8,1,3,2,6,5,7,4]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[3,2,7,5,6,1,8,4]=>[[1,3,5,7],[2,4],[6,8]]=>18
[7,4,5,1,6,3,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[7,5,6,1,4,3,8,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,1,4,3,5,2,7,6]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,3,6,5,4,1,2,7]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[1,7,5,8,4,6,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[6,5,7,1,2,8,3,4]=>[[1,3,6,8],[2,5,7],[4]]=>19
[7,1,4,2,3,8,6,5]=>[[1,3,5,6],[2,7],[4,8]]=>16
[8,1,2,5,3,7,6,4]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[8,6,5,2,4,1,7,3]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[3,6,5,2,4,1,7,8]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[6,8,5,2,4,3,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[3,4,2,8,6,7,1,5]=>[[1,2,4,6],[3,5],[7,8]]=>14
[4,6,7,2,5,1,8,3]=>[[1,2,3,7],[4,5],[6,8]]=>8
[3,6,2,5,1,7,8,4]=>[[1,2,6,7],[3,4],[5,8]]=>9
[3,4,2,7,8,1,5,6]=>[[1,2,4,5],[3,7,8],[6]]=>12
[7,1,4,2,5,8,6,3]=>[[1,3,5,6],[2,7],[4,8]]=>16
[7,8,5,1,2,4,3,6]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[5,8,1,4,3,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[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]]=>12
[4,6,2,7,8,1,3,5]=>[[1,2,4,5],[3,7,8],[6]]=>12
[6,2,3,7,1,4,5,8]=>[[1,3,4,7,8],[2,6],[5]]=>15
[4,6,7,8,2,1,3,5]=>[[1,2,3,4],[5,7,8],[6]]=>7
[8,6,3,2,1,7,5,4]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[6,1,3,4,2,5,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>13
[5,1,3,6,2,4,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>16
[1,5,7,6,8,2,4,3]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[5,7,1,3,8,4,2,6]=>[[1,2,5,8],[3,4,6],[7]]=>10
[2,6,1,4,3,7,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>8
[1,6,2,4,3,5,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>12
[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]]=>8
[1,5,7,6,3,8,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[7,3,5,6,1,8,4,2]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[7,3,6,1,5,8,4,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[1,6,3,7,8,5,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[1,7,8,6,3,5,4,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[3,7,5,6,1,8,4,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[5,6,2,8,4,7,3,1]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[7,3,5,4,1,2,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[7,8,5,1,3,2,4,6]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[7,5,1,3,8,6,2,4]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[7,1,3,8,2,5,4,6]=>[[1,3,4,8],[2,6],[5,7]]=>16
[3,1,5,4,7,2,6,8]=>[[1,3,5,8],[2,4,7],[6]]=>18
[5,7,6,1,3,8,2,4]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[5,7,6,3,8,1,4,2]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[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]]=>14
[5,3,2,4,8,1,7,6]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[6,8,5,3,2,7,1,4]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[8,3,7,2,6,5,1,4]=>[[1,3],[2,5],[4,8],[6],[7]]=>24
[4,6,2,7,1,3,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>15
[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]]=>16
[6,1,3,4,2,7,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>13
[6,5,2,3,7,8,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[1,5,3,8,4,2,7,6]=>[[1,2,4,7],[3,5],[6,8]]=>13
[5,4,2,1,8,3,7,6]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[3,1,7,4,2,6,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>14
[7,4,8,2,3,5,1,6]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[8,4,1,3,2,6,7,5]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[8,1,7,3,2,5,6,4]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[8,6,5,2,7,3,1,4]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[3,1,6,8,4,2,7,5]=>[[1,3,4],[2,5,7],[6,8]]=>15
[5,6,2,3,7,4,1,8]=>[[1,2,5,8],[3,4,6],[7]]=>10
[6,2,4,7,3,5,1,8]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[1,4,8,5,3,6,7,2]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[2,5,6,3,1,8,4,7]=>[[1,2,3,6],[4,7,8],[5]]=>8
[4,5,1,2,7,8,6,3]=>[[1,2,5,6],[3,4,7],[8]]=>9
[4,8,5,1,2,6,7,3]=>[[1,2,6,7],[3,5,8],[4]]=>12
[4,6,7,5,1,2,8,3]=>[[1,2,3,7],[4,6,8],[5]]=>10
[7,2,8,1,4,5,3,6]=>[[1,3,6,8],[2,5],[4,7]]=>20
[6,1,4,7,3,8,2,5]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[7,1,6,3,4,8,2,5]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[2,8,4,6,3,1,5,7]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[8,2,6,3,5,1,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[3,7,4,1,5,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>9
[3,8,4,1,7,2,5,6]=>[[1,2,5,8],[3,6,7],[4]]=>10
[6,7,5,1,3,8,2,4]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[8,5,1,3,6,7,2,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[7,8,6,2,4,1,3,5]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[8,2,4,1,3,6,7,5]=>[[1,3,6,7],[2,5,8],[4]]=>18
[8,1,3,6,2,5,7,4]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[1,5,6,3,8,4,7,2]=>[[1,2,3,5],[4,6,7],[8]]=>9
[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]]=>12
[5,6,1,2,8,4,7,3]=>[[1,2,5,7],[3,4,6],[8]]=>11
[3,7,8,1,6,4,2,5]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[1,7,8,6,3,4,2,5]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[1,7,3,8,6,4,2,5]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[5,7,1,8,6,4,2,3]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[7,8,1,5,6,4,2,3]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[7,1,8,5,6,4,2,3]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[7,1,5,8,6,4,2,3]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[8,1,3,5,6,4,2,7]=>[[1,3,4,5,8],[2],[6],[7]]=>13
[1,3,8,5,6,4,2,7]=>[[1,2,3,5,8],[4],[6],[7]]=>11
[1,3,5,8,6,4,2,7]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[1,5,7,8,6,4,2,3]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[1,8,2,6,5,3,4,7]=>[[1,2,4,7,8],[3],[5],[6]]=>13
[8,6,1,5,2,3,4,7]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[8,5,1,6,2,3,4,7]=>[[1,4,6,7,8],[2,5],[3]]=>12
[7,6,1,2,3,8,4,5]=>[[1,4,5,6,8],[2,7],[3]]=>10
[2,7,8,4,1,3,5,6]=>[[1,2,3,8],[4,6,7],[5]]=>9
[6,8,1,2,3,7,4,5]=>[[1,2,5,6,8],[3,4],[7]]=>9
[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]]=>13
[5,2,7,3,4,8,1,6]=>[[1,3,5,6],[2,4,8],[7]]=>16
[2,7,5,4,1,3,6,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[2,7,4,6,5,1,8,3]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[6,8,7,5,2,1,4,3]=>[[1,2],[3,7],[4,8],[5],[6]]=>15
[2,8,6,3,5,1,4,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[1,2,8,6,4,5,3,7]=>[[1,2,3,6,8],[4],[5],[7]]=>10
[1,5,8,7,6,3,4,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[1,6,4,8,5,7,3,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[1,6,8,5,2,7,3,4]=>[[1,2,3,8],[4,6],[5,7]]=>10
[3,1,6,4,2,5,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>14
[5,4,2,3,6,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[8,2,6,3,5,7,1,4]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[3,1,7,8,6,2,5,4]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[2,8,1,6,5,3,7,4]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[2,1,5,7,6,3,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>13
[4,3,5,1,7,8,6,2]=>[[1,3,5,6],[2,7],[4,8]]=>16
[1,8,5,2,3,4,7,6]=>[[1,2,5,6,7],[3,8],[4]]=>8
[1,5,8,2,3,4,7,6]=>[[1,2,3,6,7],[4,5],[8]]=>7
[1,2,7,8,4,5,6,3]=>[[1,2,3,4,7],[5,6],[8]]=>6
[4,3,8,7,6,2,5,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[5,4,8,2,7,6,3,1]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[2,3,6,1,7,5,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>10
[4,6,5,2,1,7,8,3]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[4,6,1,7,5,8,3,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[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]]=>9
[4,3,6,5,1,7,8,2]=>[[1,3,6,7],[2,4],[5,8]]=>15
[4,6,5,3,1,7,8,2]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[5,8,1,4,2,3,6,7]=>[[1,2,6,7,8],[3,4],[5]]=>7
[4,5,8,2,3,1,6,7]=>[[1,2,3,8],[4,5,7],[6]]=>8
[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]]=>16
[3,5,1,8,6,4,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[4,7,2,8,3,1,6,5]=>[[1,2,4],[3,5,7],[6,8]]=>14
[1,2,5,6,8,3,7,4]=>[[1,2,3,4,5],[6,7],[8]]=>4
[5,3,8,4,6,2,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[7,4,8,1,5,2,6,3]=>[[1,3,7],[2,5,8],[4,6]]=>19
[8,3,2,1,6,5,7,4]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[4,1,5,6,8,7,2,3]=>[[1,3,4,5],[2,6,8],[7]]=>12
[1,2,5,6,8,4,7,3]=>[[1,2,3,4,5],[6,7],[8]]=>4
[1,5,6,8,4,7,2,3]=>[[1,2,3,4],[5,6],[7,8]]=>6
[5,6,8,1,2,4,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>7
[6,8,1,4,5,7,2,3]=>[[1,2,5,6],[3,4],[7,8]]=>10
[4,3,5,1,8,6,7,2]=>[[1,3,5,7],[2,6],[4,8]]=>18
[1,3,5,6,8,4,7,2]=>[[1,2,3,4,5],[6,7],[8]]=>4
[5,6,8,2,3,4,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>7
[6,5,1,2,4,8,7,3]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[5,8,7,2,1,3,6,4]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[5,1,7,2,8,6,3,4]=>[[1,3,5,8],[2,4,6],[7]]=>16
[6,1,5,3,4,8,7,2]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[5,8,6,3,2,1,4,7]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[8,7,1,6,3,5,4,2]=>[[1,4,6],[2],[3],[5],[7],[8]]=>23
[3,2,1,7,8,6,4,5]=>[[1,4,5],[2,6,8],[3,7]]=>13
[8,6,7,1,2,5,3,4]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[1,5,6,4,2,8,7,3]=>[[1,2,3,6],[4,7],[5,8]]=>9
[7,5,1,4,8,2,3,6]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[3,2,8,1,7,5,6,4]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[8,4,3,1,7,5,6,2]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[6,1,7,8,4,2,3,5]=>[[1,3,4,8],[2,5,7],[6]]=>14
[7,4,3,1,8,5,2,6]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[7,8,1,6,3,4,5,2]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[6,8,1,7,3,4,2,5]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[4,6,5,3,8,2,7,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[4,5,6,3,8,1,7,2]=>[[1,2,3,5],[4,7],[6,8]]=>12
[7,8,3,5,2,1,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[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]]=>13
[7,8,1,5,6,4,3,2]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[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]]=>7
[6,1,7,3,4,2,5,8]=>[[1,3,5,7,8],[2,4],[6]]=>16
[3,1,7,2,5,8,6,4]=>[[1,3,5,6],[2,4,7],[8]]=>15
[2,8,7,6,3,5,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[2,8,7,1,5,6,4,3]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[3,5,6,2,8,1,7,4]=>[[1,2,3,5],[4,7],[6,8]]=>12
[4,1,5,7,3,8,2,6]=>[[1,3,4,6],[2,5,8],[7]]=>15
[7,1,6,8,2,5,3,4]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[1,6,5,7,4,2,3,8]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[7,2,8,4,5,6,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[6,8,7,3,2,4,5,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[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]]=>21
[2,7,6,3,8,5,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[2,3,1,8,4,6,5,7]=>[[1,2,4,6,8],[3,5],[7]]=>13
[2,3,1,7,6,8,4,5]=>[[1,2,4,6],[3,5,8],[7]]=>14
[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]]=>14
[5,8,7,2,6,4,1,3]=>[[1,2],[3,5],[4,8],[6],[7]]=>18
[6,8,5,1,7,4,3,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[6,8,5,2,7,4,1,3]=>[[1,2],[3,5],[4,6],[7,8]]=>16
[7,3,8,6,5,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[7,5,8,1,6,4,3,2]=>[[1,3],[2,5],[4,6],[7],[8]]=>23
[7,5,8,2,6,4,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>22
[6,3,2,8,1,7,5,4]=>[[1,4],[2,6],[3,7],[5,8]]=>20
[2,6,8,7,1,3,5,4]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[5,3,8,7,6,2,1,4]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[3,7,6,1,4,5,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[4,1,6,2,7,5,3,8]=>[[1,3,5,8],[2,4,6],[7]]=>16
[7,6,2,5,3,1,4,8]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[4,3,1,7,6,2,5,8]=>[[1,4,7,8],[2,5],[3,6]]=>13
[4,5,3,1,2,8,6,7]=>[[1,2,6,8],[3,5,7],[4]]=>13
[2,4,5,3,1,8,6,7]=>[[1,2,3,6,8],[4,7],[5]]=>8
[5,7,6,2,3,1,4,8]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[4,1,3,7,5,2,6,8]=>[[1,3,4,7,8],[2,5],[6]]=>12
[4,1,6,3,2,7,5,8]=>[[1,3,6,8],[2,4,7],[5]]=>15
[7,5,4,1,3,2,6,8]=>[[1,5,7,8],[2],[3],[4],[6]]=>16
[2,4,8,5,6,3,1,7]=>[[1,2,3,5,8],[4],[6],[7]]=>11
[2,5,7,4,1,3,6,8]=>[[1,2,3,8],[4,6,7],[5]]=>9
[5,7,4,1,3,2,6,8]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[2,6,8,4,5,3,1,7]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[5,2,3,7,4,1,6,8]=>[[1,3,4,7,8],[2,5],[6]]=>12
[4,5,1,6,3,2,7,8]=>[[1,2,4,7,8],[3,5],[6]]=>11
[5,1,6,3,2,4,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[4,2,5,1,6,3,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>16
[5,1,6,2,4,3,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>16
[5,3,4,8,7,6,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[8,3,1,6,7,5,4,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[8,4,6,5,7,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[1,8,2,6,7,4,5,3]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[8,5,7,2,4,3,6,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,5,3,6,4,7,2,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[8,2,5,3,6,7,4,1]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[1,2,8,3,4,7,6,5]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[6,8,5,2,7,1,3,4]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[7,6,4,5,2,1,8,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[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]]=>18
[6,3,4,7,2,8,5,1]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[8,1,7,3,6,4,2,5]=>[[1,3,5,8],[2],[4],[6],[7]]=>21
[7,1,8,5,3,4,2,6]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[6,8,4,3,1,5,2,7]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[1,4,5,8,3,2,6,7]=>[[1,2,3,4,8],[5,7],[6]]=>7
[1,5,2,4,7,8,6,3]=>[[1,2,4,5,6],[3,7],[8]]=>9
[5,2,7,4,3,8,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[2,7,3,4,8,5,6,1]=>[[1,2,4,5,7],[3,6],[8]]=>11
[2,7,6,8,3,5,4,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[2,7,4,5,3,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[6,2,3,7,4,5,8,1]=>[[1,3,4,6,7],[2,5],[8]]=>13
[1,6,3,2,7,5,8,4]=>[[1,2,5,7],[3,6],[4,8]]=>12
[7,3,5,2,6,8,1,4]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[6,4,2,7,1,5,8,3]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[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]]=>14
[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]]=>12
[1,8,7,2,5,4,3,6]=>[[1,2,5,8],[3],[4],[6],[7]]=>15
[1,5,4,2,7,3,6,8]=>[[1,2,5,7,8],[3,6],[4]]=>10
[1,5,4,2,8,7,3,6]=>[[1,2,5,8],[3,6],[4,7]]=>11
[1,6,8,3,5,2,4,7]=>[[1,2,3,8],[4,5],[6,7]]=>7
[1,7,6,2,3,5,8,4]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[1,2,8,3,6,5,4,7]=>[[1,2,3,5,8],[4],[6],[7]]=>11
[1,3,8,6,5,2,4,7]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[1,4,7,3,2,8,6,5]=>[[1,2,3,6],[4,7],[5,8]]=>9
[1,8,6,5,2,4,7,3]=>[[1,2,6,7],[3],[4],[5],[8]]=>13
[1,6,8,4,3,2,5,7]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[1,7,5,3,2,6,4,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[1,2,6,5,3,8,4,7]=>[[1,2,3,6,8],[4,7],[5]]=>8
[1,7,3,2,8,4,6,5]=>[[1,2,5,7],[3,6],[4,8]]=>12
[1,6,5,2,8,4,7,3]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[1,8,3,7,2,4,6,5]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[5,4,2,8,7,6,1,3]=>[[1,4],[2,5],[3,6],[7,8]]=>17
[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]]=>15
[7,3,2,6,1,5,8,4]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[6,8,5,2,7,1,4,3]=>[[1,2],[3,5],[4,7],[6,8]]=>18
[6,8,2,5,1,7,4,3]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[6,8,5,7,2,1,4,3]=>[[1,2],[3,4],[5,7],[6,8]]=>14
[6,5,8,2,7,4,1,3]=>[[1,3],[2,5],[4,6],[7,8]]=>22
[6,2,1,7,5,8,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[1,6,4,8,5,3,7,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[4,2,6,7,8,1,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>13
[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]]=>19
[4,1,7,6,5,8,2,3]=>[[1,3,6],[2,4,8],[5],[7]]=>18
[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]]=>15
[2,4,3,6,7,8,1,5]=>[[1,2,4,5,6],[3,8],[7]]=>10
[6,8,5,2,7,3,1,4]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[6,5,1,3,7,8,2,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[7,2,1,4,3,5,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>13
[6,1,2,4,3,7,8,5]=>[[1,3,4,6,7],[2,8],[5]]=>13
[8,1,5,4,2,3,6,7]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[7,1,2,4,6,3,8,5]=>[[1,3,4,5,7],[2,8],[6]]=>12
[7,1,2,6,5,3,8,4]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[7,5,6,1,2,4,8,3]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[7,1,4,5,2,3,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>15
[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]]=>17
[1,6,7,5,8,3,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[6,1,7,5,8,2,3,4]=>[[1,3,5,8],[2,4,7],[6]]=>18
[6,1,4,7,8,2,3,5]=>[[1,3,4,5],[2,7,8],[6]]=>13
[8,1,2,3,7,5,4,6]=>[[1,3,4,5,8],[2],[6],[7]]=>13
[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]]=>13
[6,1,8,7,5,2,3,4]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[8,3,1,2,4,6,5,7]=>[[1,4,5,6,8],[2,7],[3]]=>10
[8,3,1,2,4,5,7,6]=>[[1,4,5,6,7],[2,8],[3]]=>9
[6,3,1,2,4,7,5,8]=>[[1,4,5,6,8],[2,7],[3]]=>10
[6,7,1,4,2,3,5,8]=>[[1,2,6,7,8],[3,4],[5]]=>7
[6,1,7,4,8,2,3,5]=>[[1,3,5,8],[2,4,7],[6]]=>18
[6,7,8,5,1,2,4,3]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[4,3,8,5,6,2,7,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[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]]=>23
[7,4,6,1,5,3,8,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[6,3,8,1,7,2,5,4]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[6,1,5,4,8,2,7,3]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[6,2,5,4,7,1,8,3]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[8,3,6,7,5,1,2,4]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[2,7,1,8,5,6,4,3]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[4,6,8,2,3,5,1,7]=>[[1,2,3,8],[4,5,6],[7]]=>6
[6,8,2,1,3,5,4,7]=>[[1,2,6,8],[3,5],[4,7]]=>14
[3,5,1,6,4,8,2,7]=>[[1,2,4,6],[3,5,8],[7]]=>14
[3,5,8,6,2,1,4,7]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[2,4,8,5,6,1,3,7]=>[[1,2,3,5,8],[4,7],[6]]=>11
[4,8,2,5,6,1,3,7]=>[[1,2,5,8],[3,4],[6,7]]=>11
[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]]=>10
[1,7,8,4,6,3,2,5]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[8,7,2,4,6,3,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[8,7,3,2,1,6,4,5]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[7,8,3,4,6,5,2,1]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[8,7,3,6,5,2,4,1]=>[[1,4],[2,7],[3],[5],[6],[8]]=>23
[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]]=>13
[8,7,1,4,5,3,6,2]=>[[1,4,5,7],[2],[3],[6],[8]]=>17
[2,8,7,4,6,3,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[2,8,7,4,6,3,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[8,3,4,1,2,5,7,6]=>[[1,3,6,7],[2,5,8],[4]]=>18
[8,4,1,3,2,5,7,6]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[7,3,8,6,2,1,4,5]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[7,2,8,4,6,5,1,3]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[5,8,6,4,7,2,3,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[4,7,2,6,5,8,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[3,6,8,5,7,4,2,1]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[6,7,5,2,4,8,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[8,1,2,7,5,6,3,4]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[8,2,7,3,4,6,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[6,7,5,4,8,1,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[8,3,5,6,4,7,2,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[8,5,6,2,4,3,7,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[6,5,8,1,3,4,2,7]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[6,8,4,5,1,3,2,7]=>[[1,2,8],[3,4],[5,6],[7]]=>10
[6,4,8,7,5,3,2,1]=>[[1,3],[2,4],[5],[6],[7],[8]]=>22
[6,7,1,4,3,2,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[7,2,5,1,4,8,3,6]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[5,8,1,3,4,2,7,6]=>[[1,2,5,7],[3,4],[6,8]]=>12
[1,5,6,3,2,8,7,4]=>[[1,2,3,6],[4,7],[5,8]]=>9
[1,3,7,6,8,4,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[1,6,7,3,2,8,5,4]=>[[1,2,3,6],[4,7],[5,8]]=>9
[3,2,7,6,8,4,5,1]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[1,3,8,5,2,7,6,4]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[6,4,1,5,2,8,7,3]=>[[1,4,6],[2,5,7],[3,8]]=>15
[7,6,5,3,1,8,2,4]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[2,5,1,4,7,3,6,8]=>[[1,2,5,8],[3,4,7],[6]]=>12
[3,1,6,5,7,2,4,8]=>[[1,3,5,8],[2,4,7],[6]]=>18
[2,6,1,5,7,4,8,3]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[2,5,7,1,6,3,8,4]=>[[1,2,3,7],[4,5,8],[6]]=>7
[2,6,1,5,7,4,3,8]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[3,1,6,5,2,4,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[3,6,5,1,4,2,7,8]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[3,6,5,1,7,2,4,8]=>[[1,2,5,8],[3,6,7],[4]]=>10
[3,6,5,2,1,4,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[5,4,3,6,1,7,2,8]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[4,5,2,7,6,1,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>12
[4,6,5,3,1,2,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[5,4,1,6,3,7,2,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[5,4,2,6,3,7,8,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[3,6,5,7,1,4,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[3,6,5,1,4,7,2,8]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[4,3,6,5,7,1,2,8]=>[[1,3,5,8],[2,4],[6,7]]=>17
[4,2,6,5,1,3,7,8]=>[[1,3,7,8],[2,4],[5,6]]=>14
[4,1,6,5,3,7,8,2]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[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]]=>9
[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]]=>15
[3,6,5,7,2,1,4,8]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[3,5,7,6,2,4,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[5,4,2,6,3,7,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[4,6,5,2,7,3,1,8]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[4,6,5,2,1,7,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[3,5,8,2,1,4,6,7]=>[[1,2,3,8],[4,6,7],[5]]=>9
[3,5,8,2,4,6,7,1]=>[[1,2,3,7],[4,5,6],[8]]=>7
[5,3,8,2,1,4,6,7]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[5,3,1,8,2,4,6,7]=>[[1,4,6,7,8],[2,5],[3]]=>12
[5,1,3,8,2,4,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>15
[1,5,8,4,2,3,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>9
[5,8,2,1,4,3,6,7]=>[[1,2,7,8],[3,5],[4,6]]=>12
[5,8,2,4,1,6,7,3]=>[[1,2,6,7],[3,4],[5,8]]=>9
[5,8,2,4,6,3,1,7]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[5,8,2,4,3,6,1,7]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[5,8,1,4,6,2,3,7]=>[[1,2,5,8],[3,4],[6,7]]=>11
[1,5,8,4,6,7,2,3]=>[[1,2,3,6],[4,5],[7,8]]=>9
[5,1,8,4,6,7,2,3]=>[[1,3,5,6],[2,4],[7,8]]=>16
[5,8,2,4,6,3,7,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[3,8,4,6,7,2,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[3,8,4,6,7,2,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[8,4,3,6,7,2,5,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[8,4,3,6,7,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[8,6,2,4,5,3,7,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>17
[1,8,6,4,5,7,2,3]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[8,6,2,4,5,3,1,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[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]]=>7
[3,8,6,2,1,4,5,7]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[3,8,6,2,4,1,5,7]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[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]]=>21
[8,1,3,6,2,4,5,7]=>[[1,3,4,7,8],[2,6],[5]]=>15
[8,3,6,7,2,1,4,5]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[3,8,6,7,2,1,4,5]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[8,2,6,4,5,1,7,3]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[1,8,4,6,7,5,2,3]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[8,4,6,2,3,7,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[8,4,7,2,1,3,6,5]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[2,7,1,6,3,5,8,4]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[8,4,2,1,5,3,7,6]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[8,2,1,4,7,3,6,5]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[1,6,2,5,8,4,7,3]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[2,1,5,8,7,3,6,4]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[3,2,1,6,7,4,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>12
[4,3,1,7,8,5,2,6]=>[[1,4,5],[2,6,8],[3,7]]=>13
[5,6,8,2,4,3,7,1]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[2,8,5,3,6,4,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[1,2,8,6,4,7,3,5]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[5,3,2,7,8,6,4,1]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[4,2,7,8,3,5,6,1]=>[[1,3,4,7],[2,5,6],[8]]=>13
[2,8,3,7,1,4,6,5]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[2,8,7,1,5,3,6,4]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[7,3,5,6,4,2,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>18
[3,8,4,2,7,6,5,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[4,8,3,2,7,5,6,1]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[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]]=>8
[3,2,5,6,8,1,4,7]=>[[1,3,4,5],[2,7,8],[6]]=>13
[3,8,1,6,4,5,2,7]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[8,1,3,6,5,4,2,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[7,4,3,6,2,1,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[1,2,4,8,6,3,7,5]=>[[1,2,3,4,7],[5,8],[6]]=>6
[7,2,1,5,3,4,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>13
[5,7,2,3,1,4,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>8
[7,1,5,2,4,6,8,3]=>[[1,3,5,6,7],[2],[4],[8]]=>16
[8,4,2,7,3,5,6,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[1,8,6,4,7,5,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[7,4,1,5,8,6,3,2]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[4,5,8,7,3,1,2,6]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[1,3,8,7,6,4,2,5]=>[[1,2,3,8],[4],[5],[6],[7]]=>11
[2,8,5,1,7,4,6,3]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[1,8,6,4,7,5,2,3]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[2,7,4,6,3,8,5,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[1,2,8,6,4,7,5,3]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[4,1,8,6,3,7,5,2]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[8,4,3,1,6,2,5,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[7,5,4,3,8,1,6,2]=>[[1,5],[2,7],[3,8],[4],[6]]=>19
[5,3,1,6,2,8,7,4]=>[[1,4,6],[2,5,7],[3,8]]=>15
[3,5,4,1,7,8,2,6]=>[[1,2,5,6],[3,7,8],[4]]=>9
[6,4,2,1,5,7,3,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[3,1,5,8,7,2,4,6]=>[[1,3,4,8],[2,5,7],[6]]=>14
[3,2,5,7,8,4,6,1]=>[[1,3,4,5],[2,6,7],[8]]=>11
[5,3,7,4,2,6,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[5,3,7,4,2,6,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[5,3,8,4,2,1,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[5,2,8,4,3,1,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[5,1,8,4,3,2,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[5,2,7,4,3,6,1,8]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[5,2,7,4,3,6,8,1]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[5,3,7,4,1,6,8,2]=>[[1,3,6,7],[2,4],[5,8]]=>15
[3,1,5,7,8,4,6,2]=>[[1,3,4,5],[2,6,7],[8]]=>11
[3,1,5,7,8,4,2,6]=>[[1,3,4,5],[2,6,8],[7]]=>12
[5,2,7,4,1,3,8,6]=>[[1,3,7],[2,4,8],[5,6]]=>15
[6,2,3,7,4,8,5,1]=>[[1,3,4,6],[2,5,7],[8]]=>14
[6,2,3,7,4,8,1,5]=>[[1,3,4,6],[2,5,8],[7]]=>15
[6,2,3,7,4,5,1,8]=>[[1,3,4,6,8],[2,5],[7]]=>14
[6,1,3,7,4,5,8,2]=>[[1,3,4,6,7],[2,5],[8]]=>13
[1,2,8,6,4,3,5,7]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[6,1,3,7,4,5,2,8]=>[[1,3,4,6,8],[2,5],[7]]=>14
[1,8,6,3,5,4,2,7]=>[[1,2,5,8],[3],[4],[6],[7]]=>15
[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]]=>7
[2,5,7,8,4,6,3,1]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[1,8,2,7,5,3,4,6]=>[[1,2,4,7,8],[3],[5],[6]]=>13
[2,5,4,1,8,6,7,3]=>[[1,2,5,7],[3,6],[4,8]]=>12
[7,3,5,1,4,8,6,2]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[7,1,3,2,4,5,6,8]=>[[1,3,5,6,7,8],[2],[4]]=>13
[3,8,7,1,4,2,5,6]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[5,1,7,8,2,4,3,6]=>[[1,3,4,8],[2,5,6],[7]]=>12
[8,5,4,6,1,7,3,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[5,3,2,1,4,6,8,7]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[5,3,2,4,8,1,6,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[5,3,2,4,7,1,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[8,4,5,3,7,1,2,6]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[4,8,1,7,3,5,6,2]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[5,3,2,4,6,8,1,7]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[4,6,8,3,7,1,5,2]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[1,7,6,4,2,5,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[7,6,4,2,8,3,1,5]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[8,5,2,4,3,7,1,6]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[8,5,1,4,3,7,6,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[7,5,4,1,3,6,8,2]=>[[1,5,6,7],[2],[3],[4],[8]]=>14
[3,6,7,2,5,1,8,4]=>[[1,2,3,7],[4,5],[6,8]]=>8
[2,6,5,7,1,4,8,3]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[3,5,1,7,8,4,6,2]=>[[1,2,4,5],[3,6,7],[8]]=>10
[1,5,2,4,6,8,7,3]=>[[1,2,4,5,6],[3,7],[8]]=>9
[8,1,2,4,7,6,5,3]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[3,4,1,8,6,7,5,2]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[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]]=>18
[8,5,3,2,4,7,1,6]=>[[1,5,6],[2,8],[3],[4],[7]]=>16
[6,7,4,2,5,8,3,1]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[8,5,4,2,6,3,1,7]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[8,5,2,1,6,4,3,7]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[8,4,6,5,1,3,2,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[1,3,8,4,7,5,2,6]=>[[1,2,3,5,8],[4],[6],[7]]=>11
[5,3,7,1,4,6,8,2]=>[[1,3,6,7],[2,5],[4,8]]=>19
[5,7,2,6,1,4,8,3]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[3,8,5,7,6,1,2,4]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[8,4,7,5,2,1,3,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[3,8,6,4,7,2,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[5,2,7,4,6,8,3,1]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[4,8,6,3,7,2,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[2,8,3,1,7,6,4,5]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[2,5,6,4,8,1,7,3]=>[[1,2,3,5],[4,7],[6,8]]=>12
[5,7,2,1,6,8,3,4]=>[[1,2,6],[3,5,8],[4,7]]=>15
[4,7,8,5,1,6,2,3]=>[[1,2,3],[4,6,8],[5,7]]=>11
[4,5,2,1,6,7,8,3]=>[[1,2,5,6,7],[3,8],[4]]=>8
[4,5,6,3,1,7,8,2]=>[[1,2,3,6,7],[4,8],[5]]=>7
[3,5,6,7,4,1,8,2]=>[[1,2,3,4,7],[5,8],[6]]=>6
[3,5,1,4,2,8,7,6]=>[[1,2,6],[3,4,7],[5,8]]=>10
[3,5,1,4,2,6,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>8
[3,5,1,4,2,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>7
[1,3,8,4,6,2,5,7]=>[[1,2,3,5,8],[4,7],[6]]=>11
[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]]=>12
[1,3,7,6,5,2,4,8]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[1,2,8,6,7,5,4,3]=>[[1,2,3,5],[4],[6],[7],[8]]=>14
[1,7,5,4,3,2,6,8]=>[[1,2,7,8],[3],[4],[5],[6]]=>12
[3,8,5,7,4,6,2,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[7,6,3,2,5,1,8,4]=>[[1,5,7],[2,8],[3],[4],[6]]=>17
[4,2,5,7,8,6,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[6,7,2,4,5,1,8,3]=>[[1,2,5,7],[3,4],[6,8]]=>12
[5,2,7,8,3,6,1,4]=>[[1,3,4],[2,5,6],[7,8]]=>13
[8,5,1,2,3,7,4,6]=>[[1,4,5,6,8],[2,7],[3]]=>10
[5,2,8,3,1,4,7,6]=>[[1,3,6,7],[2,4],[5,8]]=>15
[8,7,2,5,1,4,3,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[8,4,1,3,2,7,6,5]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[8,3,5,1,2,4,7,6]=>[[1,3,6,7],[2,5,8],[4]]=>18
[8,6,5,1,7,4,2,3]=>[[1,5,8],[2,6],[3],[4],[7]]=>16
[8,7,4,5,1,2,6,3]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[3,8,6,2,7,1,5,4]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[3,8,4,2,1,7,6,5]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[8,3,1,7,5,6,2,4]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[8,4,1,7,5,2,6,3]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[8,4,2,7,5,3,1,6]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[8,4,3,7,5,1,2,6]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[8,5,7,6,4,3,1,2]=>[[1,3],[2,8],[4],[5],[6],[7]]=>23
[8,4,7,6,5,2,1,3]=>[[1,3],[2,8],[4],[5],[6],[7]]=>23
[8,3,1,4,7,6,2,5]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[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]]=>5
[3,6,2,4,8,1,7,5]=>[[1,2,5],[3,4,7],[6,8]]=>13
[7,3,8,2,4,6,1,5]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[1,5,2,6,8,3,7,4]=>[[1,2,4,5],[3,6,7],[8]]=>10
[4,5,3,1,8,2,6,7]=>[[1,2,5,8],[3,6,7],[4]]=>10
[7,2,8,4,1,3,5,6]=>[[1,3,7,8],[2,4],[5,6]]=>14
[6,1,7,3,2,8,4,5]=>[[1,3,6,8],[2,4,7],[5]]=>15
[6,2,1,7,3,8,4,5]=>[[1,4,6,8],[2,5,7],[3]]=>14
[5,8,2,1,3,4,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>11
[4,2,5,1,8,3,6,7]=>[[1,3,5,8],[2,6,7],[4]]=>16
[7,4,2,8,3,1,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[7,4,2,8,3,5,1,6]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[6,7,8,5,2,1,4,3]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[1,6,2,7,8,4,3,5]=>[[1,2,4,5],[3,6,8],[7]]=>11
[7,3,4,1,8,6,2,5]=>[[1,3,5],[2,6,8],[4,7]]=>18
[4,7,6,3,5,8,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[3,7,6,5,2,4,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[1,4,7,8,6,2,5,3]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[1,6,7,8,3,2,5,4]=>[[1,2,3,4],[5,7],[6,8]]=>8
[1,3,2,7,8,4,6,5]=>[[1,2,4,5],[3,6,7],[8]]=>10
[5,7,1,4,6,2,8,3]=>[[1,2,5,7],[3,4],[6,8]]=>12
[6,3,1,4,7,8,2,5]=>[[1,4,5,6],[2,7,8],[3]]=>10
[4,5,7,1,8,6,2,3]=>[[1,2,3,5],[4,6,8],[7]]=>10
[4,3,8,6,5,2,7,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[2,3,8,6,5,1,7,4]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[5,4,7,3,1,2,6,8]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[3,1,2,6,5,7,8,4]=>[[1,3,4,6,7],[2,5],[8]]=>13
[7,3,2,6,1,4,8,5]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[3,2,5,6,8,4,1,7]=>[[1,3,4,5],[2,6,8],[7]]=>12
[7,2,6,8,5,4,3,1]=>[[1,3,4],[2],[5],[6],[7],[8]]=>21
[3,7,5,6,2,4,1,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[4,2,5,1,3,6,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>18
[5,3,4,2,7,1,8,6]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[6,5,2,1,3,8,4,7]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[2,4,3,5,6,8,1,7]=>[[1,2,4,5,6],[3,8],[7]]=>10
[6,3,2,4,8,5,1,7]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[6,3,1,2,7,8,4,5]=>[[1,4,5,6],[2,7,8],[3]]=>10
[8,4,7,1,2,5,3,6]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[7,4,6,1,8,5,2,3]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[8,5,6,7,2,1,4,3]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[2,5,6,3,8,4,7,1]=>[[1,2,3,5],[4,6,7],[8]]=>9
[1,7,6,2,8,3,5,4]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[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]]=>14
[8,2,5,6,4,3,1,7]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[2,4,3,8,6,5,1,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[3,1,4,5,8,6,2,7]=>[[1,3,4,5,8],[2,6],[7]]=>11
[1,8,3,2,5,4,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>10
[5,1,7,3,2,8,4,6]=>[[1,3,6,8],[2,4,7],[5]]=>15
[5,7,8,1,3,2,4,6]=>[[1,2,3,8],[4,5,7],[6]]=>8
[8,2,4,1,6,7,3,5]=>[[1,3,5,6],[2,7,8],[4]]=>15
[8,7,3,6,2,4,1,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[1,7,4,8,3,6,2,5]=>[[1,2,4],[3,6],[5,8],[7]]=>18
[7,8,6,1,3,5,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[1,7,5,8,4,3,2,6]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[6,3,1,2,7,8,5,4]=>[[1,4,5,6],[2,7],[3,8]]=>11
[8,2,7,5,3,4,1,6]=>[[1,3,6,8],[2],[4],[5],[7]]=>20
[6,3,1,2,8,7,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[8,4,7,2,6,3,1,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[7,6,3,4,2,1,8,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[8,4,6,2,3,7,1,5]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[3,4,5,8,1,7,2,6]=>[[1,2,3,4],[5,6,8],[7]]=>6
[6,3,4,2,7,8,1,5]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[5,6,3,7,8,2,1,4]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[8,6,3,4,7,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[4,3,8,6,7,5,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[4,5,6,2,7,8,3,1]=>[[1,2,3,5,6],[4,7],[8]]=>8
[4,5,6,2,7,1,8,3]=>[[1,2,3,5,7],[4,8],[6]]=>10
[4,5,6,2,1,7,8,3]=>[[1,2,3,6,7],[4,8],[5]]=>7
[4,5,6,2,1,7,3,8]=>[[1,2,3,6,8],[4,7],[5]]=>8
[6,8,7,2,3,1,4,5]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[4,5,1,6,7,3,2,8]=>[[1,2,4,5,8],[3,6],[7]]=>10
[2,5,1,8,3,7,4,6]=>[[1,2,4,8],[3,5,6],[7]]=>11
[5,7,2,1,3,8,4,6]=>[[1,2,6,8],[3,5,7],[4]]=>13
[7,1,5,4,2,6,3,8]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[2,7,4,5,6,8,1,3]=>[[1,2,4,5,6],[3,8],[7]]=>10
[2,3,4,6,8,1,7,5]=>[[1,2,3,4,5],[6,7],[8]]=>4
[2,3,5,8,1,6,7,4]=>[[1,2,3,4,7],[5,6],[8]]=>6
[2,4,7,5,6,8,1,3]=>[[1,2,3,5,6],[4,8],[7]]=>9
[7,3,4,6,2,8,1,5]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[4,7,6,5,2,8,3,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[2,5,4,8,6,7,3,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[7,5,4,1,6,8,2,3]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[8,5,2,1,7,6,3,4]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[2,7,3,6,4,1,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[7,2,1,8,5,6,4,3]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[3,6,5,1,4,8,2,7]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[6,3,5,4,8,1,2,7]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[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]]=>13
[8,5,6,4,3,1,7,2]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[8,3,5,6,7,1,2,4]=>[[1,3,4,5],[2,7,8],[6]]=>13
[2,1,4,7,3,6,8,5]=>[[1,3,4,7],[2,5,6],[8]]=>13
[5,3,7,6,4,8,2,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[3,7,6,4,2,8,1,5]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[8,6,1,4,3,7,2,5]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[8,4,7,5,1,6,3,2]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[2,1,5,3,7,8,6,4]=>[[1,3,5,6],[2,4,7],[8]]=>15
[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]]=>16
[8,3,4,1,6,7,5,2]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[8,1,4,2,6,5,7,3]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[5,8,1,4,3,2,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[5,6,4,3,8,2,7,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[1,6,4,3,8,2,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[7,8,1,4,3,2,5,6]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[7,1,8,4,5,3,6,2]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[4,3,1,8,6,5,7,2]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[4,3,2,7,5,1,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[5,2,3,7,4,1,8,6]=>[[1,3,4,7],[2,5,8],[6]]=>13
[2,1,7,4,3,6,8,5]=>[[1,3,6,7],[2,4,8],[5]]=>14
[7,1,2,4,5,6,8,3]=>[[1,3,4,5,6,7],[2],[8]]=>9
[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]]=>11
[5,8,3,1,4,6,7,2]=>[[1,2,6,7],[3,5],[4,8]]=>13
[1,7,2,5,4,6,8,3]=>[[1,2,4,6,7],[3],[5],[8]]=>14
[2,5,3,8,1,6,7,4]=>[[1,2,4,7],[3,6],[5,8]]=>16
[1,6,4,2,5,7,8,3]=>[[1,2,5,6,7],[3,8],[4]]=>8
[6,5,3,4,1,7,8,2]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[5,6,3,4,1,7,8,2]=>[[1,2,6,7],[3,4],[5,8]]=>9
[2,5,3,1,4,7,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>8
[6,8,2,3,1,5,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>9
[4,3,1,5,2,7,8,6]=>[[1,4,6,7],[2,5,8],[3]]=>13
[5,2,3,1,4,7,8,6]=>[[1,3,5,6,7],[2,8],[4]]=>14
[7,2,1,3,5,6,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>9
[5,2,4,7,8,6,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[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]]=>16
[8,3,5,1,4,6,2,7]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[5,8,2,1,7,4,3,6]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[6,5,7,2,1,8,4,3]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[1,5,4,7,3,8,6,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[7,4,1,3,8,5,6,2]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[3,6,8,4,1,7,2,5]=>[[1,2,3],[4,6,8],[5,7]]=>11
[2,1,8,4,7,6,3,5]=>[[1,3,5],[2,4,8],[6],[7]]=>19
[2,7,5,6,8,4,3,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[3,5,2,4,7,8,6,1]=>[[1,2,5,6],[3,4,7],[8]]=>9
[7,5,6,3,8,2,1,4]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[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]]=>19
[8,4,1,6,2,5,7,3]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[7,3,4,5,1,6,8,2]=>[[1,3,4,6,7],[2,8],[5]]=>13
[8,4,2,7,6,1,5,3]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[8,4,7,1,2,6,5,3]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[8,4,7,6,1,2,5,3]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[8,7,6,2,1,5,3,4]=>[[1,6,8],[2,7],[3],[4],[5]]=>15
[5,7,8,1,6,2,4,3]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[6,8,7,4,2,5,1,3]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[6,8,4,5,7,2,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[3,1,6,5,4,7,2,8]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[4,1,2,6,5,3,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>12
[4,6,1,3,5,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>10
[4,2,6,3,5,1,7,8]=>[[1,3,5,7,8],[2,4],[6]]=>16
[4,6,1,2,5,3,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>10
[5,8,4,7,1,3,6,2]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[6,8,3,1,5,4,7,2]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[5,1,3,6,7,4,2,8]=>[[1,3,4,5,8],[2,6],[7]]=>11
[4,2,8,6,7,1,3,5]=>[[1,3,5],[2,4,8],[6,7]]=>18
[6,1,2,4,7,3,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>13
[5,6,1,4,8,3,2,7]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[3,6,4,1,7,2,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>11
[5,2,6,3,7,8,4,1]=>[[1,3,5,6],[2,4,7],[8]]=>15
[2,4,1,3,7,8,6,5]=>[[1,2,5,6],[3,4,7],[8]]=>9
[2,6,1,5,7,8,4,3]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[5,1,6,4,7,8,2,3]=>[[1,3,5,6],[2,4,8],[7]]=>16
[8,4,6,3,7,5,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[4,7,6,8,2,3,5,1]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[5,7,4,8,1,2,6,3]=>[[1,2,4],[3,6,7],[5,8]]=>15
[3,6,7,5,8,1,4,2]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[3,7,5,6,8,2,4,1]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[2,7,1,6,8,4,5,3]=>[[1,2,5],[3,4,7],[6],[8]]=>14
[1,5,4,7,2,6,3,8]=>[[1,2,4,8],[3,6],[5,7]]=>15
[2,4,5,8,3,1,7,6]=>[[1,2,3,4],[5,7],[6,8]]=>8
[1,4,7,5,8,3,6,2]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[2,6,8,7,3,5,1,4]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[4,7,8,6,2,5,1,3]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[4,8,7,3,5,6,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[1,7,6,3,5,4,2,8]=>[[1,2,5,8],[3],[4],[6],[7]]=>15
[4,3,8,1,6,5,7,2]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[1,3,6,2,5,8,7,4]=>[[1,2,3,6],[4,5,7],[8]]=>8
[5,8,7,1,4,6,3,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[6,2,5,1,3,4,8,7]=>[[1,3,6,7],[2,5,8],[4]]=>18
[2,6,5,1,3,4,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>12
[4,6,5,1,2,7,3,8]=>[[1,2,6,8],[3,5,7],[4]]=>13
[5,6,4,1,2,7,3,8]=>[[1,2,6,8],[3,5,7],[4]]=>13
[8,1,5,6,2,4,3,7]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[6,4,5,1,2,7,3,8]=>[[1,3,6,8],[2,5,7],[4]]=>19
[5,4,6,1,3,2,7,8]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[5,7,1,4,3,2,6,8]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[2,6,4,1,3,7,5,8]=>[[1,2,6,8],[3,5,7],[4]]=>13
[7,8,5,3,2,1,6,4]=>[[1,2],[3,7],[4,8],[5],[6]]=>15
[1,2,6,7,8,4,5,3]=>[[1,2,3,4,5],[6,7],[8]]=>4
[6,1,4,8,2,7,5,3]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[7,2,3,1,8,4,6,5]=>[[1,3,5,7],[2,6],[4,8]]=>18
[5,4,1,7,3,2,8,6]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[7,3,4,5,1,8,6,2]=>[[1,3,4,6],[2,7],[5,8]]=>15
[1,5,6,7,4,8,2,3]=>[[1,2,3,4,6],[5,8],[7]]=>8
[6,3,2,5,7,4,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[4,5,2,7,6,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[4,5,2,1,7,6,3,8]=>[[1,2,5,8],[3,6],[4,7]]=>11
[2,6,7,8,3,1,4,5]=>[[1,2,3,4],[5,7,8],[6]]=>7
[6,3,2,5,1,7,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[4,6,3,7,8,2,1,5]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[5,6,7,1,8,4,2,3]=>[[1,2,3,5],[4,6,8],[7]]=>10
[1,7,3,2,8,6,5,4]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[3,7,1,2,8,6,5,4]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[2,7,8,1,6,5,3,4]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[8,1,5,7,3,4,6,2]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[5,8,2,7,6,3,1,4]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[2,8,4,7,6,3,1,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[1,8,2,4,7,6,3,5]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[4,5,8,7,1,6,2,3]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[1,8,2,4,6,7,5,3]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[2,5,1,8,4,7,6,3]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[3,4,2,8,1,7,6,5]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[2,4,5,8,1,7,6,3]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[3,1,8,2,6,7,5,4]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[2,6,8,1,4,3,7,5]=>[[1,2,3],[4,5,7],[6,8]]=>9
[1,6,5,2,8,7,3,4]=>[[1,2,5,8],[3,6],[4,7]]=>11
[2,6,1,5,8,7,3,4]=>[[1,2,5],[3,4,6],[7,8]]=>11
[8,1,7,3,5,2,4,6]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[8,1,3,2,7,6,4,5]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[7,3,4,8,6,2,5,1]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[7,5,8,1,6,2,3,4]=>[[1,3,7,8],[2,5],[4,6]]=>18
[6,8,4,5,3,1,7,2]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[6,7,5,3,2,8,4,1]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[6,2,5,3,8,1,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[7,6,1,3,5,2,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[6,2,4,5,3,8,1,7]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[6,1,5,4,7,2,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[6,8,5,4,7,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>19
[1,6,8,4,2,5,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>11
[7,5,8,1,3,4,2,6]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[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]]=>10
[1,6,2,4,8,3,7,5]=>[[1,2,4,5],[3,7],[6,8]]=>13
[1,7,8,5,4,2,6,3]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[1,5,2,8,6,4,7,3]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[1,6,5,2,7,4,8,3]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[5,1,6,7,4,2,8,3]=>[[1,3,4,7],[2,5,8],[6]]=>13
[1,5,4,2,8,6,7,3]=>[[1,2,5,7],[3,6],[4,8]]=>12
[1,8,5,4,6,2,7,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[1,7,5,4,6,2,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[5,8,4,1,6,2,7,3]=>[[1,2,7],[3,5,8],[4,6]]=>13
[4,8,1,3,7,6,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[4,5,3,1,2,8,7,6]=>[[1,2,6],[3,5,7],[4,8]]=>14
[6,4,2,3,1,8,7,5]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[6,5,2,1,3,8,7,4]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[7,6,1,8,2,5,3,4]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[8,4,2,3,7,6,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[5,7,8,1,2,4,3,6]=>[[1,2,3,8],[4,5,6],[7]]=>6
[1,7,6,8,3,5,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[5,7,6,4,2,1,3,8]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[6,5,7,4,1,3,2,8]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[4,6,1,8,3,5,2,7]=>[[1,2,4,8],[3,5,6],[7]]=>11
[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]]=>10
[1,7,8,6,4,5,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[3,2,8,6,4,5,1,7]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[8,4,3,6,2,5,1,7]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[1,6,8,7,4,3,5,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[3,1,2,6,8,7,5,4]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[5,7,4,2,1,8,6,3]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[8,6,5,7,2,4,3,1]=>[[1,4],[2,6],[3],[5],[7],[8]]=>24
[7,4,6,1,8,5,3,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[7,4,6,3,8,1,5,2]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[7,4,8,1,6,3,2,5]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[7,4,8,3,6,2,1,5]=>[[1,3],[2,5],[4,8],[6],[7]]=>24
[6,4,8,2,3,5,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[4,6,8,2,5,7,1,3]=>[[1,2,3],[4,5,6],[7,8]]=>7
[6,4,8,2,5,7,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[6,2,4,5,8,3,7,1]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[6,8,2,4,7,3,5,1]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[8,4,6,2,7,1,3,5]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[6,8,4,2,7,1,3,5]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[6,8,2,4,1,7,3,5]=>[[1,2,6],[3,4,8],[5,7]]=>11
[7,5,1,6,2,4,8,3]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[4,2,5,7,1,6,8,3]=>[[1,3,4,7],[2,6],[5,8]]=>17
[4,5,2,3,8,7,1,6]=>[[1,2,5],[3,4,6],[7,8]]=>11
[2,5,4,7,6,1,3,8]=>[[1,2,4,8],[3,5],[6,7]]=>12
[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]]=>16
[5,6,2,3,8,4,7,1]=>[[1,2,5,7],[3,4,6],[8]]=>11
[5,6,2,3,1,7,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>8
[5,7,2,3,4,1,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>10
[6,2,7,3,5,1,4,8]=>[[1,3,5,8],[2,4],[6,7]]=>17
[7,2,6,3,5,1,4,8]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[6,5,2,3,1,7,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[6,5,2,3,8,4,7,1]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[7,5,2,1,4,6,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[8,5,2,3,1,6,4,7]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[8,6,2,3,1,5,4,7]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[8,2,6,3,1,7,4,5]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[1,6,3,4,2,7,5,8]=>[[1,2,4,6,8],[3,7],[5]]=>13
[8,5,2,7,3,4,6,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[1,7,2,4,5,6,8,3]=>[[1,2,4,5,6,7],[3],[8]]=>8
[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]]=>21
[2,7,8,1,5,6,3,4]=>[[1,2,3],[4,5,6],[7,8]]=>7
[6,8,2,3,1,5,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>10
[5,8,2,3,1,6,4,7]=>[[1,2,6,8],[3,4],[5,7]]=>10
[5,7,2,1,4,6,8,3]=>[[1,2,6,7],[3,5],[4,8]]=>13
[4,2,7,1,5,6,8,3]=>[[1,3,6,7],[2,5],[4,8]]=>19
[4,2,3,8,1,7,5,6]=>[[1,3,4,8],[2,6],[5,7]]=>16
[4,2,1,5,3,7,6,8]=>[[1,4,6,8],[2,5,7],[3]]=>14
[5,1,3,8,4,6,7,2]=>[[1,3,4,6,7],[2,5],[8]]=>13
[5,1,3,2,6,7,8,4]=>[[1,3,5,6,7],[2,8],[4]]=>14
[5,1,3,4,2,7,6,8]=>[[1,3,4,6,8],[2,7],[5]]=>14
[6,1,3,4,2,7,5,8]=>[[1,3,4,6,8],[2,7],[5]]=>14
[7,2,1,3,5,8,4,6]=>[[1,4,5,6],[2,7,8],[3]]=>10
[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]]=>14
[5,2,3,7,4,6,1,8]=>[[1,3,4,6,8],[2,5],[7]]=>14
[2,5,3,7,4,6,1,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[2,6,7,3,4,5,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>8
[6,2,7,3,4,5,1,8]=>[[1,3,5,6,8],[2,4],[7]]=>15
[3,8,4,5,2,1,6,7]=>[[1,2,4,7,8],[3],[5],[6]]=>13
[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]]=>12
[4,5,7,2,8,3,6,1]=>[[1,2,3,5],[4,6,7],[8]]=>9
[5,2,1,3,6,7,8,4]=>[[1,4,5,6,7],[2,8],[3]]=>9
[7,5,2,6,1,8,4,3]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[6,1,5,2,7,8,4,3]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[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]]=>21
[8,1,5,7,3,6,2,4]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[8,3,2,6,4,5,1,7]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[8,5,3,7,4,1,2,6]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[8,5,6,2,7,1,3,4]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[8,4,7,2,6,5,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>24
[8,5,7,3,2,6,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>23
[8,1,2,3,6,4,7,5]=>[[1,3,4,5,7],[2,8],[6]]=>12
[7,6,2,3,5,8,1,4]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[4,5,3,7,8,1,6,2]=>[[1,2,4,5],[3,7],[6,8]]=>13
[3,4,2,8,1,6,7,5]=>[[1,2,4,7],[3,6],[5,8]]=>16
[8,3,4,1,5,7,6,2]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[4,3,7,5,1,6,2,8]=>[[1,3,6,8],[2,4],[5,7]]=>16
[5,2,6,1,4,3,7,8]=>[[1,3,7,8],[2,5],[4,6]]=>18
[5,3,7,4,2,8,6,1]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[7,2,5,8,6,1,4,3]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[5,3,1,4,6,7,8,2]=>[[1,4,5,6,7],[2,8],[3]]=>9
[4,6,2,1,3,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>12
[2,5,4,1,3,6,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>11
[3,1,6,7,8,4,5,2]=>[[1,3,4,5],[2,6,7],[8]]=>11
[7,4,5,6,2,1,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[3,7,5,6,2,1,8,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[1,7,6,3,8,4,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[6,4,1,2,7,8,3,5]=>[[1,4,5,6],[2,7,8],[3]]=>10
[6,4,1,3,5,2,7,8]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[5,1,8,3,4,6,2,7]=>[[1,3,5,6,8],[2,4],[7]]=>15
[4,5,8,2,3,7,1,6]=>[[1,2,3],[4,5,6],[7,8]]=>7
[7,3,4,8,2,5,1,6]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[4,7,2,5,1,6,8,3]=>[[1,2,6,7],[3,4],[5,8]]=>9
[7,2,8,1,5,6,4,3]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[5,6,4,2,1,8,3,7]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[2,4,3,5,8,1,6,7]=>[[1,2,4,5,8],[3,7],[6]]=>12
[2,6,5,3,8,1,4,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[6,1,2,4,3,5,7,8]=>[[1,3,4,6,7,8],[2],[5]]=>12
[6,5,8,2,7,3,4,1]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[1,7,6,8,4,3,2,5]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[1,7,6,5,3,8,2,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[6,1,2,4,3,5,8,7]=>[[1,3,4,6,7],[2,8],[5]]=>13
[4,6,1,3,7,8,5,2]=>[[1,2,5,6],[3,4,7],[8]]=>9
[8,4,1,5,2,6,7,3]=>[[1,4,6,7],[2,5,8],[3]]=>13
[1,5,6,3,8,7,2,4]=>[[1,2,3,5],[4,6],[7,8]]=>10
[5,3,2,6,8,7,1,4]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[6,3,5,2,7,1,4,8]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[8,5,2,6,7,1,4,3]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[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]]=>18
[8,5,1,2,3,6,7,4]=>[[1,4,5,6,7],[2,8],[3]]=>9
[2,8,6,1,5,4,7,3]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[8,3,2,6,1,5,7,4]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[3,8,6,4,7,1,2,5]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[1,8,7,5,4,3,2,6]=>[[1,2,8],[3],[4],[5],[6],[7]]=>16
[8,6,4,7,1,3,2,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[3,1,4,7,6,2,5,8]=>[[1,3,4,8],[2,5,7],[6]]=>14
[5,3,4,1,6,2,7,8]=>[[1,3,5,7,8],[2,6],[4]]=>16
[2,7,1,4,6,3,5,8]=>[[1,2,5,8],[3,4,7],[6]]=>12
[7,3,1,6,5,2,4,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[7,1,5,2,4,6,3,8]=>[[1,3,5,6,8],[2],[4],[7]]=>17
[6,1,4,5,2,7,3,8]=>[[1,3,4,6,8],[2,7],[5]]=>14
[6,1,5,8,2,7,4,3]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[7,1,2,3,6,4,5,8]=>[[1,3,4,5,7,8],[2],[6]]=>11
[2,8,4,6,5,1,7,3]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[7,4,1,3,6,5,2,8]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[5,7,2,8,1,3,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>15
[6,5,1,4,7,3,2,8]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[2,7,8,4,1,3,6,5]=>[[1,2,3],[4,6,7],[5,8]]=>10
[2,4,6,5,7,8,1,3]=>[[1,2,3,5,6],[4,8],[7]]=>9
[2,4,6,7,5,8,1,3]=>[[1,2,3,4,6],[5,8],[7]]=>8
[2,4,6,3,7,8,1,5]=>[[1,2,3,5,6],[4,8],[7]]=>9
[2,4,5,6,8,7,1,3]=>[[1,2,3,4,5],[6,8],[7]]=>5
[2,4,5,6,8,3,7,1]=>[[1,2,3,4,5],[6,7],[8]]=>4
[2,4,5,6,3,8,1,7]=>[[1,2,3,4,6],[5,8],[7]]=>8
[2,3,4,6,8,5,1,7]=>[[1,2,3,4,5],[6,8],[7]]=>5
[5,2,8,3,4,1,6,7]=>[[1,3,5,7,8],[2,4],[6]]=>16
[3,6,4,1,2,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>12
[4,1,7,3,8,6,2,5]=>[[1,3,5],[2,4,6],[7,8]]=>17
[8,4,1,2,5,3,7,6]=>[[1,4,5,7],[2,6,8],[3]]=>12
[1,5,2,7,6,8,4,3]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[4,7,6,8,3,1,2,5]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[4,8,2,7,6,5,1,3]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[7,4,2,8,6,5,1,3]=>[[1,4],[2,5],[3,6],[7,8]]=>17
[8,6,5,2,7,1,4,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>19
[6,5,8,2,7,1,4,3]=>[[1,3],[2,5],[4,7],[6,8]]=>24
[7,5,8,2,1,6,4,3]=>[[1,3],[2,6],[4,7],[5,8]]=>21
[3,2,1,6,5,8,4,7]=>[[1,4,6],[2,5,8],[3,7]]=>16
[2,6,4,8,5,7,3,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[6,3,1,4,5,8,2,7]=>[[1,4,5,6],[2,7,8],[3]]=>10
[3,4,8,5,2,1,7,6]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[4,8,7,1,3,2,6,5]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[5,8,7,4,6,1,3,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>19
[3,4,1,8,7,6,2,5]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[1,3,5,6,8,7,2,4]=>[[1,2,3,4,5],[6,8],[7]]=>5
[2,8,7,5,4,1,6,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[8,1,5,7,4,2,6,3]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[5,8,7,3,4,1,6,2]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[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]]=>15
[6,7,8,2,4,5,3,1]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[3,2,8,4,5,7,1,6]=>[[1,3,5,6],[2,4],[7,8]]=>16
[6,1,8,2,4,5,3,7]=>[[1,3,5,6,8],[2,4],[7]]=>15
[8,3,6,4,2,7,1,5]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[1,3,8,4,7,6,2,5]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[8,3,7,5,4,1,2,6]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[2,6,4,7,8,5,1,3]=>[[1,2,4,5],[3,6],[7,8]]=>11
[5,4,3,7,6,1,8,2]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[8,6,3,7,1,4,2,5]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[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]]=>11
[8,3,2,1,6,4,7,5]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[2,3,8,4,1,7,5,6]=>[[1,2,3,6,8],[4,7],[5]]=>8
[4,6,1,3,2,7,8,5]=>[[1,2,6,7],[3,4,8],[5]]=>8
[6,7,2,5,8,4,1,3]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[4,1,7,8,2,5,6,3]=>[[1,3,4,7],[2,5,6],[8]]=>13
[3,4,6,7,1,5,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>6
[3,4,5,7,8,1,6,2]=>[[1,2,3,4,5],[6,7],[8]]=>4
[1,8,7,4,3,5,2,6]=>[[1,2,6,8],[3],[4],[5],[7]]=>14
[2,4,5,8,1,3,7,6]=>[[1,2,3,4],[5,6,7],[8]]=>5
[6,3,1,5,8,4,2,7]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[2,8,3,5,6,1,4,7]=>[[1,2,4,5,8],[3,7],[6]]=>12
[1,3,6,4,2,7,5,8]=>[[1,2,3,6,8],[4,7],[5]]=>8
[2,3,7,5,8,1,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>11
[3,2,8,5,6,1,4,7]=>[[1,3,5,8],[2,4],[6,7]]=>17
[7,2,5,8,1,4,6,3]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[4,7,5,8,1,2,6,3]=>[[1,2,4],[3,6,7],[5,8]]=>15
[4,7,5,8,1,2,3,6]=>[[1,2,4,8],[3,6,7],[5]]=>14
[3,4,7,5,2,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[4,3,2,5,7,8,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[2,4,7,5,8,3,1,6]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[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]]=>11
[8,5,4,7,6,3,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[1,5,4,8,7,6,2,3]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[3,2,4,5,8,1,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>13
[3,6,8,4,2,7,1,5]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[3,6,5,1,7,2,8,4]=>[[1,2,5,7],[3,6,8],[4]]=>11
[7,4,1,6,2,8,5,3]=>[[1,4,6],[2,5,7],[3],[8]]=>16
[1,3,6,8,2,4,7,5]=>[[1,2,3,4],[5,6,7],[8]]=>5
[1,6,7,4,3,8,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[7,3,1,6,5,2,8,4]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[8,5,4,1,6,2,7,3]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[4,7,2,8,5,1,6,3]=>[[1,2,4],[3,5,7],[6,8]]=>14
[7,8,6,2,1,5,4,3]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[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]]=>22
[1,6,4,7,3,8,5,2]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[4,8,1,6,3,7,2,5]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[8,5,4,1,6,3,7,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[1,7,6,2,4,8,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[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]]=>16
[2,7,8,3,6,4,5,1]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[3,8,1,4,6,5,2,7]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[2,7,5,4,1,8,3,6]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[4,6,1,8,5,3,2,7]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[3,8,5,2,1,6,4,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[5,1,4,8,2,6,3,7]=>[[1,3,4,8],[2,6],[5,7]]=>16
[4,5,8,1,3,7,6,2]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[8,6,7,1,4,3,2,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[1,4,7,8,6,3,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[8,5,2,6,3,4,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[8,3,6,1,2,7,4,5]=>[[1,3,6,8],[2,5,7],[4]]=>19
[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]]=>12
[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]]=>19
[6,8,1,5,4,7,2,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[6,7,2,5,4,8,1,3]=>[[1,2,6],[3,4],[5,8],[7]]=>13
[7,6,2,4,8,5,1,3]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[4,6,8,7,3,1,2,5]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[4,7,5,2,6,3,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[3,5,6,2,8,1,4,7]=>[[1,2,3,5],[4,7,8],[6]]=>11
[6,1,8,2,4,3,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>16
[1,6,8,2,5,3,4,7]=>[[1,2,3,7,8],[4,5],[6]]=>6
[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]]=>11
[8,7,3,5,1,4,6,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[8,6,3,5,2,1,4,7]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[8,7,3,5,2,4,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[8,4,2,7,6,5,1,3]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[4,6,3,8,5,2,7,1]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[4,1,3,8,5,6,2,7]=>[[1,3,4,6,8],[2,5],[7]]=>14
[5,2,8,3,1,6,7,4]=>[[1,3,6,7],[2,4],[5,8]]=>15
[1,7,8,6,3,2,5,4]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[3,2,8,1,5,7,4,6]=>[[1,3,6],[2,5,8],[4,7]]=>21
[3,4,6,7,2,1,5,8]=>[[1,2,3,4,8],[5,7],[6]]=>7
[2,6,7,1,4,3,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>7
[3,2,7,4,8,5,6,1]=>[[1,3,5,7],[2,4,6],[8]]=>17
[5,8,2,7,4,6,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[4,5,2,8,3,7,1,6]=>[[1,2,4],[3,5,6],[7,8]]=>12
[7,8,5,1,6,4,3,2]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[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]]=>10
[1,4,6,3,7,5,2,8]=>[[1,2,3,5,8],[4,6],[7]]=>9
[1,3,8,7,4,5,6,2]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[7,3,1,8,4,5,6,2]=>[[1,4,6,7],[2,5],[3,8]]=>14
[3,2,8,7,4,5,6,1]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[6,2,4,3,7,5,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[3,8,2,1,5,7,6,4]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[1,3,2,8,7,4,6,5]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[7,5,2,8,3,1,6,4]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[4,6,3,7,8,1,2,5]=>[[1,2,4,5],[3,7,8],[6]]=>12
[6,2,5,4,1,7,8,3]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[4,1,5,6,3,8,7,2]=>[[1,3,4,6],[2,5,7],[8]]=>14
[8,5,1,6,3,2,4,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[6,8,7,4,3,2,5,1]=>[[1,2],[3,7],[4],[5],[6],[8]]=>18
[8,1,5,4,6,7,3,2]=>[[1,3,5,6],[2],[4],[7],[8]]=>20
[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]]=>11
[6,4,5,1,3,8,7,2]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[6,1,3,5,4,8,2,7]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[1,3,8,7,2,5,6,4]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[2,5,4,1,8,3,7,6]=>[[1,2,5],[3,6,7],[4,8]]=>11
[5,1,4,8,3,7,6,2]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[8,4,1,2,7,6,5,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[4,8,3,2,7,6,5,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[1,8,7,3,4,6,5,2]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[5,3,1,2,4,6,8,7]=>[[1,4,5,6,7],[2,8],[3]]=>9
[8,5,7,3,1,2,4,6]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[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]]=>14
[6,7,1,5,2,8,4,3]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[1,5,3,7,6,4,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[4,8,1,3,6,2,7,5]=>[[1,2,5,7],[3,4],[6,8]]=>12
[2,7,3,4,8,6,5,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[1,8,2,4,7,3,6,5]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[2,7,1,6,5,8,3,4]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[6,2,3,8,1,5,7,4]=>[[1,3,4,7],[2,6],[5,8]]=>17
[2,5,7,4,8,3,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[8,5,6,2,4,7,1,3]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[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]]=>15
[4,8,1,6,2,5,3,7]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[1,8,4,2,5,7,3,6]=>[[1,2,5,6],[3,7,8],[4]]=>9
[5,8,3,1,2,4,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>11
[1,4,8,5,2,3,6,7]=>[[1,2,3,7,8],[4,6],[5]]=>9
[1,4,8,5,2,3,7,6]=>[[1,2,3,7],[4,6,8],[5]]=>10
[1,5,8,7,2,4,3,6]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[1,5,4,2,8,3,7,6]=>[[1,2,5,7],[3,6],[4,8]]=>12
[1,2,8,7,3,5,4,6]=>[[1,2,3,6,8],[4],[5],[7]]=>10
[8,7,1,3,2,5,4,6]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[6,7,4,2,8,1,3,5]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[4,1,6,8,7,2,3,5]=>[[1,3,4,8],[2,5,7],[6]]=>14
[4,7,5,6,2,8,3,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[8,4,3,6,7,5,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[6,7,5,2,8,4,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[6,8,4,3,2,7,5,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[6,1,7,3,5,8,2,4]=>[[1,3,5,6],[2,4],[7,8]]=>16
[1,3,7,6,4,8,2,5]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[2,6,4,8,7,3,1,5]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[2,1,8,7,3,5,4,6]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[6,1,8,5,7,4,3,2]=>[[1,3,5],[2,4],[6],[7],[8]]=>21
[8,5,1,4,7,6,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[8,1,3,7,2,4,6,5]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[5,3,1,6,4,8,2,7]=>[[1,4,6],[2,5,8],[3,7]]=>16
[2,5,6,7,1,4,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>6
[4,7,5,3,2,8,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[4,7,5,2,8,6,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[5,8,1,2,7,4,3,6]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[6,3,1,8,2,4,5,7]=>[[1,4,6,7,8],[2,5],[3]]=>12
[4,6,3,7,8,1,5,2]=>[[1,2,4,5],[3,7],[6,8]]=>13
[6,3,1,8,4,5,2,7]=>[[1,4,6,8],[2,5],[3,7]]=>15
[7,6,2,4,8,3,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[6,5,8,1,4,3,7,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,1,4,2,7,5,6,3]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[8,6,3,5,2,1,7,4]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[6,8,3,1,2,5,4,7]=>[[1,2,6,8],[3,5],[4,7]]=>14
[5,8,6,4,7,1,2,3]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[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]]=>15
[1,4,7,3,6,8,2,5]=>[[1,2,3,6],[4,5],[7,8]]=>9
[3,7,1,4,6,8,2,5]=>[[1,2,5,6],[3,4,8],[7]]=>10
[2,4,7,3,6,8,1,5]=>[[1,2,3,6],[4,5],[7,8]]=>9
[8,5,7,6,1,3,2,4]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[2,7,5,6,1,8,4,3]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[1,2,6,7,4,5,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>6
[6,5,2,8,7,1,4,3]=>[[1,4],[2,5],[3,7],[6,8]]=>19
[7,2,3,6,8,1,4,5]=>[[1,3,4,5],[2,7,8],[6]]=>13
[2,6,1,3,8,5,4,7]=>[[1,2,5,8],[3,4,6],[7]]=>10
[6,4,1,8,3,2,5,7]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[5,8,1,4,2,7,3,6]=>[[1,2,6,8],[3,4],[5,7]]=>10
[2,3,1,6,8,7,4,5]=>[[1,2,4,5],[3,6,8],[7]]=>11
[6,4,8,2,1,7,3,5]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[2,3,1,8,7,5,6,4]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[1,5,6,7,2,4,3,8]=>[[1,2,3,4,8],[5,6],[7]]=>5
[2,8,6,4,1,5,3,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[6,7,4,5,1,3,8,2]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[1,6,5,3,8,2,4,7]=>[[1,2,5,8],[3,7],[4],[6]]=>14
[5,6,1,2,4,8,3,7]=>[[1,2,5,6],[3,4,8],[7]]=>10
[8,7,4,5,1,3,2,6]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[8,5,1,2,7,4,3,6]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[4,1,8,7,2,5,3,6]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[3,2,4,6,1,8,7,5]=>[[1,3,4,6],[2,7],[5,8]]=>15
[3,6,7,4,1,2,5,8]=>[[1,2,3,8],[4,6,7],[5]]=>9
[1,4,7,5,8,2,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>11
[1,6,8,4,7,3,2,5]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[3,6,7,5,4,8,1,2]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[4,5,7,2,6,3,8,1]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[2,1,5,7,4,6,8,3]=>[[1,3,4,7],[2,5,6],[8]]=>13
[2,3,5,7,8,1,6,4]=>[[1,2,3,4,5],[6,7],[8]]=>4
[1,5,7,4,2,3,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>9
[2,4,7,5,3,6,8,1]=>[[1,2,3,6,7],[4],[5],[8]]=>9
[8,1,7,2,4,6,3,5]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[1,2,4,7,8,6,3,5]=>[[1,2,3,4,5],[6,8],[7]]=>5
[1,3,6,2,5,8,4,7]=>[[1,2,3,6],[4,5,8],[7]]=>9
[1,5,3,6,8,2,4,7]=>[[1,2,4,5],[3,7,8],[6]]=>12
[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]]=>11
[4,1,2,6,5,7,8,3]=>[[1,3,4,6,7],[2,5],[8]]=>13
[1,8,4,2,7,3,6,5]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[1,7,5,2,3,8,6,4]=>[[1,2,5,6],[3,7],[4,8]]=>10
[8,1,4,7,3,5,2,6]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[8,4,3,6,1,7,2,5]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[2,6,1,8,3,7,4,5]=>[[1,2,4,8],[3,5,6],[7]]=>11
[8,4,2,1,3,7,5,6]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[2,5,1,7,6,8,3,4]=>[[1,2,4,6],[3,5,8],[7]]=>14
[5,3,1,8,2,4,7,6]=>[[1,4,6,7],[2,5],[3,8]]=>14
[1,2,6,3,7,5,8,4]=>[[1,2,3,5,7],[4,6],[8]]=>10
[5,1,8,3,2,4,7,6]=>[[1,3,6,7],[2,4],[5,8]]=>15
[3,1,5,4,6,7,8,2]=>[[1,3,5,6,7],[2,4],[8]]=>14
[2,8,5,7,3,1,4,6]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[2,6,8,7,3,1,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[7,4,2,1,3,8,5,6]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[7,2,1,3,8,5,4,6]=>[[1,4,5,8],[2,6],[3,7]]=>12
[2,1,7,3,8,6,4,5]=>[[1,3,5,8],[2,4,6],[7]]=>16
[1,7,5,3,2,4,8,6]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[1,4,2,7,6,5,8,3]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[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]]=>12
[5,7,6,2,3,8,1,4]=>[[1,2,6],[3,5,8],[4],[7]]=>16
[4,5,7,6,2,8,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[3,1,8,7,5,2,6,4]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[4,5,6,8,7,2,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[2,8,3,1,5,4,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>11
[3,8,4,1,5,2,7,6]=>[[1,2,5,7],[3,6,8],[4]]=>11
[1,8,6,2,4,3,7,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[4,8,3,1,6,2,7,5]=>[[1,2,7],[3,5,8],[4,6]]=>13
[2,8,3,1,6,4,7,5]=>[[1,2,5,7],[3,6,8],[4]]=>11
[6,2,7,1,5,8,4,3]=>[[1,3,6],[2,5],[4,7],[8]]=>22
[4,8,5,1,3,2,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[5,4,3,1,2,7,6,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[4,1,6,5,2,3,7,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[7,1,5,2,3,6,4,8]=>[[1,3,5,6,8],[2,7],[4]]=>15
[4,1,6,3,7,2,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>18
[4,6,1,2,8,3,7,5]=>[[1,2,5,7],[3,4,6],[8]]=>11
[4,1,3,6,7,2,5,8]=>[[1,3,4,5,8],[2,7],[6]]=>13
[2,6,5,1,3,4,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>11
[2,6,7,4,3,1,5,8]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[2,6,3,1,7,4,5,8]=>[[1,2,5,7,8],[3,6],[4]]=>10
[6,5,3,7,2,4,1,8]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[2,3,6,7,1,5,4,8]=>[[1,2,3,4,8],[5,6],[7]]=>5
[2,7,5,8,1,3,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>15
[5,1,6,7,3,2,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>14
[5,6,1,4,7,2,3,8]=>[[1,2,5,8],[3,4,7],[6]]=>12
[1,2,5,7,8,6,3,4]=>[[1,2,3,4,5],[6,8],[7]]=>5
[1,2,6,7,4,5,3,8]=>[[1,2,3,4,8],[5,6],[7]]=>5
[1,2,7,8,4,6,3,5]=>[[1,2,3,4],[5,6],[7,8]]=>6
[8,6,5,2,1,7,4,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[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]]=>16
[7,3,2,8,6,1,5,4]=>[[1,4],[2,5],[3,7],[6,8]]=>19
[7,5,8,2,6,1,4,3]=>[[1,3],[2,5],[4,7],[6,8]]=>24
[7,4,1,2,6,5,8,3]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[5,2,7,4,6,1,8,3]=>[[1,3,5,7],[2,4],[6,8]]=>18
[7,4,1,2,3,6,8,5]=>[[1,4,5,6,7],[2,8],[3]]=>9
[5,4,8,6,3,2,1,7]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[8,4,6,7,3,1,5,2]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[4,1,3,6,8,5,2,7]=>[[1,3,4,5],[2,6,8],[7]]=>12
[6,3,5,7,1,2,8,4]=>[[1,3,4,7],[2,6,8],[5]]=>16
[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]]=>6
[1,6,8,3,4,2,5,7]=>[[1,2,3,7,8],[4,5],[6]]=>6
[1,8,7,5,3,4,2,6]=>[[1,2,6,8],[3],[4],[5],[7]]=>14
[1,7,8,5,3,4,2,6]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[1,7,6,8,4,2,3,5]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[1,7,8,6,4,3,2,5]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[5,1,7,8,4,2,3,6]=>[[1,3,4,8],[2,5,7],[6]]=>14
[3,8,2,1,6,7,5,4]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[2,8,3,1,7,5,6,4]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[2,7,4,1,5,8,3,6]=>[[1,2,5,6],[3,7,8],[4]]=>9
[2,1,6,4,7,8,3,5]=>[[1,3,5,6],[2,4,8],[7]]=>16
[5,7,8,3,4,2,1,6]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[4,7,5,3,8,2,6,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[2,6,4,7,8,5,3,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[7,8,4,5,6,1,3,2]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[2,5,1,8,4,6,7,3]=>[[1,2,4,7],[3,5,6],[8]]=>12
[6,5,8,3,4,2,1,7]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[8,2,7,6,3,4,5,1]=>[[1,3,6,7],[2],[4],[5],[8]]=>19
[6,8,7,3,2,1,4,5]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[3,4,8,2,7,1,5,6]=>[[1,2,3,8],[4,5],[6,7]]=>7
[7,2,6,1,4,8,3,5]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[7,8,1,2,4,6,3,5]=>[[1,2,5,6],[3,4],[7,8]]=>10
[7,2,8,3,4,5,1,6]=>[[1,3,5,6,8],[2,4],[7]]=>15
[6,1,8,3,4,2,5,7]=>[[1,3,5,7,8],[2,4],[6]]=>16
[7,5,1,2,4,3,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[7,6,8,1,4,2,3,5]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[2,4,3,7,8,5,6,1]=>[[1,2,4,5],[3,6,7],[8]]=>10
[2,1,7,6,3,4,5,8]=>[[1,3,6,7,8],[2,4],[5]]=>13
[6,1,5,3,8,2,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[2,3,6,8,5,1,7,4]=>[[1,2,3,4],[5,7],[6,8]]=>8
[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]]=>13
[3,1,2,8,5,4,7,6]=>[[1,3,4,7],[2,5,8],[6]]=>13
[2,1,3,7,8,4,6,5]=>[[1,3,4,5],[2,6,7],[8]]=>11
[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]]=>13
[1,2,8,7,5,4,6,3]=>[[1,2,3,7],[4],[5],[6],[8]]=>12
[4,6,7,2,3,8,1,5]=>[[1,2,3,6],[4,5,8],[7]]=>9
[3,2,6,5,7,8,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>16
[2,1,8,7,4,6,5,3]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[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]]=>6
[2,8,5,1,6,4,3,7]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[2,4,7,1,8,3,6,5]=>[[1,2,3,5],[4,6,7],[8]]=>9
[6,1,5,4,2,3,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[6,4,5,1,2,8,3,7]=>[[1,3,6,8],[2,5,7],[4]]=>19
[8,4,1,5,7,6,3,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[8,1,6,3,5,2,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[4,6,2,5,3,8,1,7]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[4,6,5,2,1,8,3,7]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[5,8,4,3,6,7,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[6,8,2,1,5,3,4,7]=>[[1,2,7,8],[3,5],[4,6]]=>12
[2,5,3,8,6,7,4,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[3,2,6,5,1,8,4,7]=>[[1,3,6],[2,4,8],[5,7]]=>17
[7,4,5,8,1,6,2,3]=>[[1,3,4],[2,6,8],[5,7]]=>17
[4,5,8,1,6,7,3,2]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[5,1,8,4,6,7,3,2]=>[[1,3,5,6],[2,4],[7],[8]]=>17
[6,5,3,8,1,7,2,4]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[8,3,7,1,6,2,4,5]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[8,1,4,6,5,7,2,3]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[8,1,7,5,6,4,2,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[8,6,1,5,3,7,2,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[7,2,3,6,8,1,5,4]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[2,6,3,7,8,1,4,5]=>[[1,2,4,5],[3,7,8],[6]]=>12
[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]]=>18
[7,2,8,6,3,1,5,4]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[7,2,4,5,8,6,3,1]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[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]]=>16
[7,2,8,5,4,1,3,6]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[7,4,5,2,8,1,6,3]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[7,5,4,2,8,1,6,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>19
[7,6,3,2,8,4,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[7,2,3,6,8,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[7,2,5,4,8,3,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[7,2,8,3,6,1,4,5]=>[[1,3,5,8],[2,4],[6,7]]=>17
[7,4,5,2,8,3,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[5,1,3,2,4,6,8,7]=>[[1,3,5,6,7],[2,8],[4]]=>14
[6,5,3,4,1,8,2,7]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[6,4,5,3,8,1,2,7]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[7,2,4,6,3,8,5,1]=>[[1,3,4,6],[2,7],[5],[8]]=>16
[2,8,3,7,6,1,5,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[5,4,2,6,8,7,3,1]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[3,7,2,5,8,6,4,1]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[4,6,5,3,8,1,7,2]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[2,4,8,7,6,1,5,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[3,2,8,7,4,6,5,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[8,2,6,5,1,4,3,7]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[4,8,5,2,7,6,3,1]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[2,8,6,5,7,1,3,4]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[3,8,4,7,2,1,6,5]=>[[1,2,4],[3,7],[5,8],[6]]=>16
[4,8,5,1,7,6,3,2]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[5,8,1,7,6,2,3,4]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[3,4,6,2,5,7,1,8]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,7,5,2,6,8,3,4]=>[[1,2,5,6],[3,7,8],[4]]=>9
[7,4,8,3,6,5,1,2]=>[[1,3],[2,5],[4,6],[7,8]]=>22
[1,5,4,3,8,7,2,6]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[1,5,8,2,6,4,3,7]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[3,5,6,2,4,7,8,1]=>[[1,2,3,6,7],[4,5],[8]]=>7
[3,5,6,7,2,4,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>6
[3,5,7,6,8,2,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[3,5,7,2,6,8,4,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[3,5,2,7,6,8,4,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[3,5,7,4,2,6,8,1]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[3,5,4,7,2,6,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[3,4,5,7,2,6,8,1]=>[[1,2,3,4,7],[5,6],[8]]=>6
[3,4,5,7,2,8,6,1]=>[[1,2,3,4,6],[5,7],[8]]=>7
[3,5,4,7,8,2,6,1]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[3,5,4,7,2,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[3,2,5,7,4,8,6,1]=>[[1,3,4,6],[2,5,7],[8]]=>14
[3,5,7,4,2,8,6,1]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[3,5,7,8,4,2,6,1]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[2,3,5,7,8,4,6,1]=>[[1,2,3,4,5],[6,7],[8]]=>4
[3,5,2,7,8,6,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[3,5,7,8,2,6,4,1]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[3,5,7,8,6,2,4,1]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[4,2,5,6,7,3,8,1]=>[[1,3,4,5,7],[2,6],[8]]=>12
[8,6,1,4,3,5,2,7]=>[[1,4,6,8],[2],[3],[5],[7]]=>19
[6,1,8,4,3,5,2,7]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[5,1,6,4,8,2,3,7]=>[[1,3,5,8],[2,4,7],[6]]=>18
[8,1,4,2,5,3,6,7]=>[[1,3,5,7,8],[2,6],[4]]=>16
[2,8,4,1,5,3,6,7]=>[[1,2,5,7,8],[3,6],[4]]=>10
[8,4,1,3,5,2,6,7]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[4,1,8,3,5,2,6,7]=>[[1,3,5,7,8],[2,4],[6]]=>16
[8,3,1,2,5,4,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>11
[3,1,8,2,5,4,6,7]=>[[1,3,5,7,8],[2,4],[6]]=>16
[4,2,5,1,8,7,6,3]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[5,2,4,8,1,7,6,3]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[7,3,2,4,6,8,1,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[1,4,8,6,7,2,5,3]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[1,4,5,7,3,8,2,6]=>[[1,2,3,4,6],[5,8],[7]]=>8
[4,6,8,1,2,5,3,7]=>[[1,2,3,8],[4,5,6],[7]]=>6
[3,5,6,8,2,1,4,7]=>[[1,2,3,4],[5,7,8],[6]]=>7
[8,2,5,4,1,3,7,6]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[2,4,5,8,6,3,1,7]=>[[1,2,3,4,8],[5],[6],[7]]=>7
[5,4,8,2,3,1,7,6]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[4,7,5,8,2,3,1,6]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[4,6,7,5,1,8,3,2]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[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]]=>18
[7,5,3,8,6,2,1,4]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[7,3,1,8,2,6,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[4,6,7,5,2,8,3,1]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[5,8,7,2,4,3,1,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[5,1,2,8,6,7,3,4]=>[[1,3,4,6],[2,5,8],[7]]=>15
[2,5,7,8,6,1,4,3]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[7,2,6,8,4,5,1,3]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[5,1,7,6,8,2,3,4]=>[[1,3,5,8],[2,4,7],[6]]=>18
[1,7,6,2,4,3,8,5]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[7,1,6,2,4,5,3,8]=>[[1,3,5,6,8],[2],[4],[7]]=>17
[5,7,1,6,2,3,4,8]=>[[1,2,6,7,8],[3,4],[5]]=>7
[6,2,5,8,3,4,1,7]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[5,6,8,7,1,3,2,4]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[1,5,3,4,8,2,6,7]=>[[1,2,4,5,8],[3,7],[6]]=>12
[2,1,3,6,5,8,4,7]=>[[1,3,4,6],[2,5,8],[7]]=>15
[5,1,2,8,6,3,7,4]=>[[1,3,4,7],[2,5,8],[6]]=>13
[6,1,5,7,8,4,2,3]=>[[1,3,4,5],[2,8],[6],[7]]=>14
[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]]=>9
[4,3,7,1,2,6,8,5]=>[[1,3,6,7],[2,5],[4,8]]=>19
[8,1,6,5,2,7,4,3]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[6,8,1,5,2,7,4,3]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[4,5,8,2,3,7,6,1]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[1,7,3,2,4,8,6,5]=>[[1,2,5,6],[3,7],[4,8]]=>10
[4,3,1,8,2,6,7,5]=>[[1,4,6,7],[2,5],[3,8]]=>14
[4,8,1,3,2,5,7,6]=>[[1,2,6,7],[3,4],[5,8]]=>9
[1,7,5,3,8,6,2,4]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[2,5,3,8,1,4,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>16
[4,2,5,8,1,3,7,6]=>[[1,3,4],[2,6,7],[5,8]]=>16
[8,1,2,4,3,5,7,6]=>[[1,3,4,6,7],[2,8],[5]]=>13
[2,4,3,8,1,5,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>16
[3,1,7,4,8,6,5,2]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[6,4,5,3,2,8,7,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[2,7,3,8,5,1,6,4]=>[[1,2,4,7],[3,5],[6,8]]=>13
[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]]=>18
[7,6,2,8,1,4,5,3]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[2,3,8,4,1,5,7,6]=>[[1,2,3,6,7],[4,8],[5]]=>7
[8,4,2,3,1,5,7,6]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[8,2,3,4,1,5,7,6]=>[[1,3,4,6,7],[2,8],[5]]=>13
[7,1,6,2,4,8,3,5]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[2,7,8,1,4,3,6,5]=>[[1,2,3],[4,5,7],[6,8]]=>9
[6,5,8,1,3,2,4,7]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[2,1,8,5,3,4,6,7]=>[[1,3,6,7,8],[2,4],[5]]=>13
[8,4,1,3,2,5,6,7]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[8,6,1,2,3,5,4,7]=>[[1,4,5,6,8],[2],[3],[7]]=>12
[7,8,1,5,2,4,6,3]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[2,8,6,3,1,5,4,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[5,7,2,8,4,1,6,3]=>[[1,2,4],[3,5,7],[6,8]]=>14
[2,5,6,3,8,1,4,7]=>[[1,2,3,5],[4,7,8],[6]]=>11
[7,4,5,6,8,1,3,2]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[7,6,8,1,4,5,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[7,5,1,8,4,6,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[1,7,8,5,6,4,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[2,8,1,7,4,5,3,6]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[7,3,6,2,5,4,8,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[1,6,2,3,5,8,4,7]=>[[1,2,4,5,6],[3,8],[7]]=>10
[1,8,5,6,4,3,7,2]=>[[1,2,4,7],[3],[5],[6],[8]]=>17
[2,6,8,4,5,1,7,3]=>[[1,2,3,7],[4,5],[6,8]]=>8
[4,6,5,7,8,1,3,2]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[2,5,8,6,4,7,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[5,3,2,1,7,8,4,6]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[8,4,1,3,6,7,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[1,6,5,3,8,4,7,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[7,6,2,3,5,1,4,8]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[6,2,5,3,4,8,1,7]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[6,2,5,3,4,8,7,1]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[2,6,5,3,4,8,1,7]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[5,3,4,8,1,7,2,6]=>[[1,3,4],[2,6,8],[5,7]]=>17
[5,1,3,4,8,7,2,6]=>[[1,3,4,5],[2,6],[7,8]]=>12
[1,5,3,4,8,7,2,6]=>[[1,2,4,5],[3,6],[7,8]]=>11
[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]]=>22
[4,3,5,8,1,7,6,2]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[3,6,5,4,8,1,2,7]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[3,6,5,4,8,2,7,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[3,5,2,4,8,7,6,1]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[2,5,3,6,8,4,1,7]=>[[1,2,4,5],[3,6,8],[7]]=>11
[4,6,2,5,1,7,8,3]=>[[1,2,6,7],[3,4],[5,8]]=>9
[2,3,1,7,4,8,6,5]=>[[1,2,4,6],[3,5,7],[8]]=>13
[1,8,3,6,4,2,7,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[2,1,7,4,8,5,3,6]=>[[1,3,5,8],[2,4,6],[7]]=>16
[8,1,7,3,2,5,4,6]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[7,8,5,2,6,4,3,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[8,1,2,5,7,4,6,3]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[8,2,5,3,6,1,4,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[6,8,7,4,1,5,2,3]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[8,6,4,7,5,1,3,2]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[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]]=>10
[3,5,2,1,7,8,6,4]=>[[1,2,5,6],[3,7],[4,8]]=>10
[4,2,7,8,6,5,1,3]=>[[1,3,4],[2,5],[6,8],[7]]=>16
[1,2,7,8,6,4,5,3]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[4,8,1,2,6,5,3,7]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[7,1,6,3,2,4,8,5]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[6,4,8,1,2,3,7,5]=>[[1,3,6,7],[2,5],[4,8]]=>19
[7,4,1,3,6,8,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[7,2,5,1,6,4,3,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[5,2,7,1,4,6,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>20
[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]]=>14
[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]]=>12
[3,7,1,6,5,8,2,4]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[7,4,3,6,8,2,1,5]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[3,8,5,4,7,6,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[1,4,6,8,7,3,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[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]]=>18
[3,2,8,5,1,4,6,7]=>[[1,3,7,8],[2,4],[5,6]]=>14
[3,5,4,1,2,8,6,7]=>[[1,2,6,8],[3,5,7],[4]]=>13
[5,3,8,1,4,2,6,7]=>[[1,3,7,8],[2,5],[4,6]]=>18
[5,3,8,1,4,2,7,6]=>[[1,3,7],[2,5,8],[4,6]]=>19
[1,4,7,5,8,6,2,3]=>[[1,2,3,5],[4,6],[7,8]]=>10
[8,5,7,6,3,4,1,2]=>[[1,3],[2,6],[4,8],[5],[7]]=>23
[7,5,2,6,1,4,8,3]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[2,4,5,1,8,3,7,6]=>[[1,2,3,5],[4,6,7],[8]]=>9
[7,2,8,5,3,4,1,6]=>[[1,3,6,8],[2,4],[5],[7]]=>17
[6,4,5,3,1,7,8,2]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[7,3,5,6,4,1,8,2]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[2,5,6,3,4,1,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>7
[4,6,2,1,5,8,3,7]=>[[1,2,6],[3,5,8],[4,7]]=>15
[4,6,7,2,3,8,5,1]=>[[1,2,3,6],[4,5,7],[8]]=>8
[4,5,3,7,8,1,2,6]=>[[1,2,4,5],[3,7,8],[6]]=>12
[2,3,5,8,1,6,4,7]=>[[1,2,3,4,8],[5,6],[7]]=>5
[1,7,4,5,8,3,6,2]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[2,8,5,6,3,1,4,7]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[4,8,2,6,1,5,7,3]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[2,3,7,8,1,5,4,6]=>[[1,2,3,4],[5,6,8],[7]]=>6
[5,2,6,7,8,3,1,4]=>[[1,3,4,5],[2,6,8],[7]]=>12
[5,6,2,7,8,3,1,4]=>[[1,2,4,5],[3,6,8],[7]]=>11
[2,3,7,5,8,4,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[3,7,8,5,1,4,6,2]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[2,5,6,7,1,8,4,3]=>[[1,2,3,4,6],[5,7],[8]]=>7
[6,4,7,8,1,2,5,3]=>[[1,3,4],[2,6,7],[5,8]]=>16
[7,5,8,1,2,3,6,4]=>[[1,3,6,7],[2,5],[4,8]]=>19
[1,2,8,7,4,6,5,3]=>[[1,2,3,6],[4],[5],[7],[8]]=>13
[5,1,4,8,7,3,6,2]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[4,3,1,8,7,5,6,2]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[4,3,2,7,6,1,5,8]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[7,2,6,5,3,1,4,8]=>[[1,3,7,8],[2],[4],[5],[6]]=>18
[1,3,7,6,2,4,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>10
[1,3,8,2,7,4,6,5]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[8,2,7,1,6,4,3,5]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[4,3,2,8,1,7,5,6]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[7,5,4,1,6,3,8,2]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[1,6,5,3,2,4,8,7]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[1,7,3,5,2,4,8,6]=>[[1,2,4,7],[3,6,8],[5]]=>15
[4,3,7,2,5,1,6,8]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[5,1,4,3,2,6,8,7]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[7,2,1,3,5,4,6,8]=>[[1,4,5,7,8],[2,6],[3]]=>11
[8,3,7,5,4,2,6,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>23
[1,6,8,7,5,2,3,4]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[1,3,6,2,5,4,8,7]=>[[1,2,3,7],[4,5,8],[6]]=>7
[4,5,7,6,3,1,8,2]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[4,6,7,5,1,3,8,2]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[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]]=>11
[5,4,1,8,7,3,6,2]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[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]]=>18
[3,2,6,1,5,8,7,4]=>[[1,3,6],[2,5,7],[4,8]]=>20
[4,2,3,6,7,5,1,8]=>[[1,3,4,5,8],[2,6],[7]]=>11
[6,2,3,5,7,4,1,8]=>[[1,3,4,5,8],[2],[6],[7]]=>13
[1,6,3,8,4,7,2,5]=>[[1,2,4,6],[3,5],[7,8]]=>14
[8,1,5,2,4,7,3,6]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[7,5,8,1,4,2,3,6]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[1,3,4,8,5,6,2,7]=>[[1,2,3,4,6,8],[5],[7]]=>7
[3,2,7,1,8,6,5,4]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[6,2,4,1,5,7,8,3]=>[[1,3,5,6,7],[2,8],[4]]=>14
[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]]=>12
[5,2,8,1,7,4,6,3]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[2,5,4,7,3,1,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[4,6,3,1,2,5,7,8]=>[[1,2,6,7,8],[3,5],[4]]=>11
[7,4,6,8,3,1,2,5]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[8,5,4,7,3,1,2,6]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[7,3,2,1,5,4,8,6]=>[[1,5,7],[2,6,8],[3],[4]]=>14
[2,5,6,4,8,1,3,7]=>[[1,2,3,5],[4,7,8],[6]]=>11
[5,4,1,6,2,3,7,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[1,3,6,5,2,4,7,8]=>[[1,2,3,7,8],[4,6],[5]]=>9
[5,4,1,2,7,6,3,8]=>[[1,4,5,8],[2,6],[3,7]]=>12
[5,8,7,3,1,2,4,6]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[2,7,8,1,4,5,3,6]=>[[1,2,3,8],[4,5,6],[7]]=>6
[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]]=>15
[3,7,8,1,2,4,6,5]=>[[1,2,3,7],[4,5,6],[8]]=>7
[7,3,4,1,2,6,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>18
[8,4,3,1,2,6,5,7]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[3,8,2,7,4,5,1,6]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[8,6,2,3,5,4,1,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[8,2,6,1,3,5,4,7]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[8,4,3,7,2,5,6,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[8,3,1,7,4,5,2,6]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[8,2,4,5,1,7,3,6]=>[[1,3,4,6],[2,7,8],[5]]=>14
[6,8,2,4,5,1,7,3]=>[[1,2,5,7],[3,4],[6,8]]=>12
[4,3,8,1,7,5,6,2]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[8,4,3,7,1,5,6,2]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[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]]=>18
[8,3,7,1,4,5,6,2]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[8,7,3,6,1,2,5,4]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[8,3,7,6,2,4,5,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[8,7,2,3,6,1,5,4]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[8,2,7,1,3,4,6,5]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[5,1,8,4,2,3,7,6]=>[[1,3,6,7],[2,4],[5,8]]=>15
[8,2,4,7,3,1,6,5]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[8,2,7,6,3,1,4,5]=>[[1,3,7,8],[2],[4],[5],[6]]=>18
[6,8,1,4,7,3,2,5]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[8,5,7,2,6,3,1,4]=>[[1,3,8],[2,5],[4],[6],[7]]=>22
[5,8,2,7,3,1,6,4]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[8,1,2,6,7,5,4,3]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[8,4,1,7,5,6,2,3]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[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]]=>21
[8,4,7,2,3,6,5,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[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]]=>21
[8,1,2,7,6,4,5,3]=>[[1,3,4,7],[2],[5],[6],[8]]=>18
[8,1,4,7,3,6,5,2]=>[[1,3,4],[2,6],[5],[7],[8]]=>20
[2,8,1,5,3,7,6,4]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[1,8,2,4,7,5,6,3]=>[[1,2,4,5,7],[3],[6],[8]]=>13
[2,3,8,4,7,1,6,5]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[1,8,2,3,5,6,4,7]=>[[1,2,4,5,6,8],[3],[7]]=>9
[1,4,7,6,2,3,5,8]=>[[1,2,3,7,8],[4,6],[5]]=>9
[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]]=>12
[1,7,3,8,6,2,5,4]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[5,8,2,3,7,4,1,6]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[4,2,8,3,7,6,1,5]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[1,3,5,6,4,8,2,7]=>[[1,2,3,4,6],[5,8],[7]]=>8
[4,6,1,8,2,7,5,3]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[3,4,8,5,6,1,2,7]=>[[1,2,3,5,8],[4,7],[6]]=>11
[1,7,6,2,5,4,8,3]=>[[1,2,5,7],[3],[4],[6],[8]]=>16
[5,6,1,7,4,3,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[3,7,2,1,5,6,8,4]=>[[1,2,6,7],[3,5],[4,8]]=>13
[3,1,5,6,4,2,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>12
[8,1,6,4,3,5,2,7]=>[[1,3,6,8],[2],[4],[5],[7]]=>20
[2,1,6,5,3,8,7,4]=>[[1,3,6],[2,4,7],[5,8]]=>16
[3,7,5,6,4,2,1,8]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[6,1,4,3,7,5,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[3,8,6,4,5,2,7,1]=>[[1,2,5,7],[3],[4],[6],[8]]=>16
[4,5,8,6,2,3,7,1]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[4,6,8,5,3,7,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[4,5,7,2,8,6,3,1]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[3,7,4,5,1,6,8,2]=>[[1,2,4,6,7],[3,8],[5]]=>12
[4,6,8,1,2,5,7,3]=>[[1,2,3,7],[4,5,6],[8]]=>7
[4,6,8,5,1,3,7,2]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[3,7,4,5,2,8,6,1]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[3,7,8,4,6,1,5,2]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[4,5,7,2,1,6,8,3]=>[[1,2,3,7],[4,6],[5,8]]=>11
[4,5,1,6,8,3,7,2]=>[[1,2,4,5],[3,6,7],[8]]=>10
[8,3,5,4,6,1,2,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[1,7,4,5,2,6,8,3]=>[[1,2,4,6,7],[3,8],[5]]=>12
[1,4,2,6,5,3,8,7]=>[[1,2,4,7],[3,5,8],[6]]=>12
[3,1,5,8,4,6,2,7]=>[[1,3,4,8],[2,5,6],[7]]=>12
[8,2,6,3,4,1,5,7]=>[[1,3,5,7,8],[2],[4],[6]]=>18
[4,6,5,8,2,1,3,7]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[1,4,8,3,5,6,2,7]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,8,7,4,2,3,6,5]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[4,3,1,8,5,7,2,6]=>[[1,4,6],[2,5,8],[3,7]]=>16
[7,3,2,4,8,1,6,5]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[3,7,2,4,5,8,1,6]=>[[1,2,5,6],[3,4,8],[7]]=>10
[3,2,7,4,6,1,8,5]=>[[1,3,5,7],[2,4],[6,8]]=>18
[8,3,2,4,6,1,7,5]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[8,3,2,4,5,7,1,6]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[7,4,6,2,1,3,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[3,6,7,2,4,1,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>7
[5,4,8,7,6,2,3,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[5,2,3,8,7,1,6,4]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[7,5,2,4,1,3,8,6]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[7,2,6,8,5,1,3,4]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[8,2,3,4,1,6,7,5]=>[[1,3,4,6,7],[2,8],[5]]=>13
[7,4,3,8,1,6,5,2]=>[[1,4],[2,6],[3,7],[5,8]]=>20
[6,5,1,4,3,8,7,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[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]]=>13
[2,6,4,5,8,3,1,7]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[3,7,4,8,6,2,5,1]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[7,3,5,2,8,1,4,6]=>[[1,3,5],[2,7,8],[4],[6]]=>20
[1,5,8,7,4,2,3,6]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[1,7,2,4,5,8,6,3]=>[[1,2,4,5,6],[3,7],[8]]=>9
[1,4,6,8,7,2,5,3]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[1,6,2,7,5,3,4,8]=>[[1,2,4,7,8],[3,5],[6]]=>11
[1,3,7,2,6,4,5,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[1,7,3,2,8,5,6,4]=>[[1,2,5,7],[3,6],[4,8]]=>12
[1,6,5,2,4,8,3,7]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[1,7,3,8,4,2,5,6]=>[[1,2,4,7,8],[3,5],[6]]=>11
[1,6,2,4,7,5,8,3]=>[[1,2,4,5,7],[3,6],[8]]=>11
[1,6,2,7,4,3,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>12
[1,5,8,2,3,6,4,7]=>[[1,2,3,6,8],[4,5],[7]]=>8
[2,5,3,6,7,1,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>12
[6,4,1,5,7,2,3,8]=>[[1,4,5,8],[2,6,7],[3]]=>11
[6,4,1,5,7,3,8,2]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[1,2,7,3,8,5,6,4]=>[[1,2,3,5,7],[4,6],[8]]=>10
[7,4,1,6,3,8,2,5]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[1,5,7,4,3,8,6,2]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[2,7,3,1,4,5,8,6]=>[[1,2,5,6,7],[3,8],[4]]=>8
[6,5,8,3,2,7,1,4]=>[[1,3],[2,6],[4,8],[5],[7]]=>23
[8,4,3,1,7,6,5,2]=>[[1,5],[2,6],[3,7],[4],[8]]=>17
[1,2,6,7,5,3,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>7
[3,4,5,6,8,2,7,1]=>[[1,2,3,4,5],[6,7],[8]]=>4
[7,2,1,4,5,6,3,8]=>[[1,4,5,6,8],[2,7],[3]]=>10
[1,5,6,7,3,4,2,8]=>[[1,2,3,4,8],[5,6],[7]]=>5
[4,6,8,5,2,1,7,3]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[1,6,7,8,2,4,5,3]=>[[1,2,3,4],[5,6,7],[8]]=>5
[5,7,8,3,2,4,6,1]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[5,7,8,2,3,1,6,4]=>[[1,2,3],[4,5,7],[6,8]]=>9
[4,5,2,7,8,6,1,3]=>[[1,2,4,5],[3,6],[7,8]]=>11
[1,3,5,8,7,2,6,4]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[6,4,1,8,5,7,3,2]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[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]]=>13
[3,6,7,2,1,5,8,4]=>[[1,2,3,7],[4,6],[5,8]]=>11
[2,5,6,1,3,8,7,4]=>[[1,2,3,6],[4,5,7],[8]]=>8
[7,2,5,6,1,3,8,4]=>[[1,3,4,7],[2,6,8],[5]]=>16
[6,4,1,2,5,8,3,7]=>[[1,4,5,6],[2,7,8],[3]]=>10
[4,7,3,5,2,6,8,1]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[2,3,5,4,7,1,8,6]=>[[1,2,3,5,7],[4,8],[6]]=>10
[6,8,4,1,5,7,3,2]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[8,1,6,2,3,7,5,4]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[2,8,3,6,4,1,7,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[6,5,3,4,8,2,1,7]=>[[1,4,5],[2,8],[3],[6],[7]]=>17
[5,4,8,7,3,6,2,1]=>[[1,3],[2,4],[5,6],[7],[8]]=>19
[5,2,7,6,8,3,4,1]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[8,4,5,2,7,3,6,1]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[6,3,7,4,5,2,8,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[7,3,4,2,8,5,6,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[4,3,6,5,8,2,7,1]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[8,2,7,4,5,3,6,1]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[7,2,8,4,5,3,6,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[6,3,8,2,7,4,5,1]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[3,2,8,4,7,5,6,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[8,3,6,2,7,4,5,1]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[1,7,8,4,3,6,5,2]=>[[1,2,3],[4,6],[5,7],[8]]=>12
[1,7,8,3,6,5,4,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[5,8,1,7,2,4,3,6]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[2,5,7,3,8,1,4,6]=>[[1,2,3,5],[4,7,8],[6]]=>11
[8,3,5,2,1,6,7,4]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[2,6,4,7,1,8,5,3]=>[[1,2,4,6],[3,7],[5,8]]=>14
[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]]=>14
[6,4,2,3,8,7,5,1]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[6,1,4,2,7,8,3,5]=>[[1,3,5,6],[2,7,8],[4]]=>15
[6,5,1,3,7,8,4,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[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]]=>16
[5,1,3,2,6,8,4,7]=>[[1,3,5,6],[2,7,8],[4]]=>15
[5,7,1,4,6,8,2,3]=>[[1,2,5,6],[3,4],[7,8]]=>10
[2,4,1,7,5,6,3,8]=>[[1,2,4,6,8],[3,5],[7]]=>13
[1,4,3,7,6,2,8,5]=>[[1,2,4,7],[3,5],[6,8]]=>13
[1,6,2,5,7,3,8,4]=>[[1,2,4,5,7],[3,8],[6]]=>11
[1,4,3,8,2,5,7,6]=>[[1,2,4,7],[3,6],[5,8]]=>16
[1,5,7,3,6,4,2,8]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[1,6,7,2,4,8,3,5]=>[[1,2,3,6],[4,5,8],[7]]=>9
[3,7,2,8,4,1,5,6]=>[[1,2,4,8],[3,5,7],[6]]=>13
[5,3,4,1,7,8,6,2]=>[[1,3,5,6],[2,7],[4,8]]=>16
[4,7,6,5,8,2,3,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[1,2,6,8,4,3,5,7]=>[[1,2,3,4,8],[5,7],[6]]=>7
[7,2,6,3,1,8,4,5]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[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]]=>9
[8,1,3,5,6,4,7,2]=>[[1,3,4,5,7],[2],[6],[8]]=>14
[3,4,7,1,5,6,2,8]=>[[1,2,3,6,8],[4,5],[7]]=>8
[4,8,2,6,5,3,7,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[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]]=>19
[8,5,2,3,1,6,7,4]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[2,8,6,3,5,1,7,4]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[8,3,2,6,4,1,7,5]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[8,4,1,5,3,6,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[8,3,5,1,4,6,7,2]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[8,5,1,3,4,6,7,2]=>[[1,4,5,6,7],[2],[3],[8]]=>11
[3,8,6,2,5,4,7,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[3,8,4,6,5,2,7,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>17
[8,1,7,4,2,5,3,6]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[8,3,2,5,1,4,7,6]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[8,4,5,1,2,6,7,3]=>[[1,3,6,7],[2,5,8],[4]]=>18
[8,1,5,3,2,6,7,4]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[8,1,5,2,4,6,7,3]=>[[1,3,5,6,7],[2],[4],[8]]=>16
[5,2,6,4,1,3,8,7]=>[[1,3,7],[2,4,8],[5,6]]=>15
[8,6,4,7,1,3,5,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[2,1,8,5,4,3,7,6]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[6,4,8,5,3,2,7,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[8,5,4,6,2,7,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[6,8,5,4,7,2,3,1]=>[[1,2],[3,5],[4,7],[6],[8]]=>19
[2,5,7,3,4,8,1,6]=>[[1,2,3,6],[4,5,8],[7]]=>9
[5,2,4,7,8,1,3,6]=>[[1,3,4,5],[2,7,8],[6]]=>13
[4,8,5,6,1,2,7,3]=>[[1,2,4,7],[3,6,8],[5]]=>15
[2,5,6,8,7,1,4,3]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[4,6,8,1,5,2,7,3]=>[[1,2,3],[4,5,7],[6,8]]=>9
[8,2,3,6,4,1,7,5]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[2,3,7,5,8,6,1,4]=>[[1,2,3,5],[4,6],[7,8]]=>10
[3,8,5,1,2,4,7,6]=>[[1,2,6,7],[3,5,8],[4]]=>12
[1,3,6,4,8,2,7,5]=>[[1,2,3,5],[4,7],[6,8]]=>12
[1,7,6,2,8,5,3,4]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[1,5,8,6,4,7,2,3]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[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]]=>11
[5,2,3,8,1,4,6,7]=>[[1,3,4,7,8],[2,6],[5]]=>15
[1,6,8,3,2,4,5,7]=>[[1,2,3,7,8],[4,6],[5]]=>9
[8,6,5,2,4,3,7,1]=>[[1,5,7],[2],[3],[4],[6],[8]]=>21
[6,2,5,3,7,4,8,1]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[8,5,4,2,6,3,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[8,5,3,2,6,4,7,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[7,4,6,5,8,2,3,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[7,3,6,5,8,2,4,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[7,3,6,4,8,2,5,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[7,3,5,4,8,2,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[7,3,6,8,4,5,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[1,6,5,7,4,2,8,3]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[1,2,7,4,8,5,6,3]=>[[1,2,3,5,7],[4,6],[8]]=>10
[2,6,7,4,8,5,1,3]=>[[1,2,3,5],[4,6],[7,8]]=>10
[2,5,8,6,4,3,7,1]=>[[1,2,3,7],[4],[5],[6],[8]]=>12
[6,4,2,5,7,1,8,3]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[8,1,4,7,3,5,6,2]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[8,3,7,2,4,5,6,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[8,1,4,5,7,3,6,2]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[5,6,3,4,2,8,7,1]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[2,5,7,4,6,8,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>9
[2,5,6,4,1,3,8,7]=>[[1,2,3,7],[4,6,8],[5]]=>10
[4,6,1,3,5,7,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>9
[3,2,7,5,8,1,6,4]=>[[1,3,5],[2,4,7],[6,8]]=>19
[4,3,6,8,5,2,1,7]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[4,5,3,2,1,8,6,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[3,6,5,8,1,7,4,2]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[4,1,6,8,5,2,3,7]=>[[1,3,4,8],[2,5,7],[6]]=>14
[4,5,2,8,6,7,1,3]=>[[1,2,4,6],[3,5],[7,8]]=>14
[4,5,2,8,6,7,3,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[3,5,8,6,2,4,7,1]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[2,5,1,6,4,8,3,7]=>[[1,2,4,6],[3,5,8],[7]]=>14
[3,2,4,5,8,6,1,7]=>[[1,3,4,5,8],[2,6],[7]]=>11
[4,5,2,1,3,8,6,7]=>[[1,2,6,8],[3,5,7],[4]]=>13
[4,2,3,6,8,5,1,7]=>[[1,3,4,5],[2,6,8],[7]]=>12
[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]]=>6
[3,4,5,8,6,1,2,7]=>[[1,2,3,4,8],[5,7],[6]]=>7
[6,4,1,3,7,8,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[6,3,1,2,5,4,8,7]=>[[1,4,5,7],[2,6,8],[3]]=>12
[8,2,6,4,1,3,7,5]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[1,5,8,2,4,3,7,6]=>[[1,2,3,7],[4,5],[6,8]]=>8
[4,3,7,8,2,6,5,1]=>[[1,3,4],[2,6],[5,7],[8]]=>18
[3,8,5,1,2,6,7,4]=>[[1,2,6,7],[3,5,8],[4]]=>12
[2,4,7,8,3,6,5,1]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[5,4,7,8,3,6,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[6,8,1,3,2,5,7,4]=>[[1,2,6,7],[3,4],[5,8]]=>9
[1,4,8,5,7,2,3,6]=>[[1,2,3,5],[4,7,8],[6]]=>11
[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]]=>16
[8,6,2,7,3,4,5,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[5,6,3,2,8,7,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[5,1,6,7,8,3,2,4]=>[[1,3,4,5],[2,6,8],[7]]=>12
[1,5,6,3,7,2,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>11
[1,5,6,7,4,2,3,8]=>[[1,2,3,4,8],[5,7],[6]]=>7
[5,1,6,7,3,4,2,8]=>[[1,3,4,8],[2,5,6],[7]]=>12
[8,6,1,7,3,4,5,2]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[6,8,5,1,7,4,2,3]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[8,4,2,3,5,7,6,1]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[4,8,5,2,3,1,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[5,4,8,3,1,2,6,7]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[8,4,7,3,2,5,6,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[6,8,5,1,7,3,4,2]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[6,2,7,3,8,1,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>18
[8,4,2,6,7,1,5,3]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[1,7,8,3,6,5,2,4]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[4,6,7,5,1,8,2,3]=>[[1,2,3,6],[4,7,8],[5]]=>8
[3,5,2,6,8,7,4,1]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[7,3,6,8,4,1,2,5]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[6,4,2,3,7,5,8,1]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[6,3,7,5,1,2,8,4]=>[[1,3,7],[2,4,8],[5,6]]=>15
[7,2,5,4,8,6,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[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]]=>8
[1,4,3,6,8,5,2,7]=>[[1,2,4,5],[3,6,8],[7]]=>11
[7,6,2,8,5,3,4,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[6,8,3,5,4,7,2,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[8,2,7,6,4,1,3,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[8,3,7,5,1,6,2,4]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[8,5,7,1,4,2,6,3]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[4,7,1,5,6,3,2,8]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[4,5,7,1,6,3,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[4,6,5,7,2,3,8,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[3,6,7,2,5,8,4,1]=>[[1,2,3,6],[4,5],[7],[8]]=>10
[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]]=>14
[4,2,7,8,5,6,1,3]=>[[1,3,4],[2,5,6],[7,8]]=>13
[5,4,3,7,8,1,6,2]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[3,5,7,8,4,2,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[4,6,7,3,2,8,1,5]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[4,6,5,3,7,8,1,2]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[5,6,2,4,7,8,3,1]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[5,6,3,2,8,4,7,1]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[5,6,2,8,3,4,7,1]=>[[1,2,4,7],[3,5,6],[8]]=>12
[3,7,4,8,1,6,5,2]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[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]]=>18
[2,4,7,8,6,5,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[5,2,6,7,8,1,4,3]=>[[1,3,4,5],[2,7],[6,8]]=>14
[4,8,2,7,5,3,1,6]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[1,2,4,6,5,8,3,7]=>[[1,2,3,4,6],[5,8],[7]]=>8
[5,4,2,3,1,7,8,6]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[3,5,8,1,7,4,2,6]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[5,8,6,1,7,2,3,4]=>[[1,2,5,8],[3,6,7],[4]]=>10
[5,1,4,3,8,2,6,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[8,4,7,5,6,2,1,3]=>[[1,3,5],[2,8],[4],[6],[7]]=>22
[3,8,6,7,5,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[8,2,5,4,7,3,6,1]=>[[1,3,5],[2,7],[4],[6],[8]]=>23
[4,2,8,7,3,6,5,1]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[3,7,8,6,1,4,5,2]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[4,6,7,8,2,1,5,3]=>[[1,2,3,4],[5,7],[6,8]]=>8
[4,7,6,3,8,1,5,2]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[3,8,1,4,6,2,5,7]=>[[1,2,5,8],[3,4,7],[6]]=>12
[2,4,5,3,8,7,1,6]=>[[1,2,3,5],[4,6],[7,8]]=>10
[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]]=>16
[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]]=>14
[4,1,6,7,8,2,5,3]=>[[1,3,4,5],[2,6,7],[8]]=>11
[8,6,3,4,1,2,7,5]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[2,5,8,4,6,1,3,7]=>[[1,2,3,8],[4,5],[6,7]]=>7
[4,7,8,6,5,1,3,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[6,8,4,7,3,5,2,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>13
[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]]=>24
[3,6,4,2,8,1,7,5]=>[[1,2,5],[3,7],[4,8],[6]]=>15
[3,8,6,2,1,7,4,5]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[3,1,8,2,4,6,5,7]=>[[1,3,5,6,8],[2,4],[7]]=>15
[8,1,7,6,2,5,4,3]=>[[1,3,6],[2],[4],[5],[7],[8]]=>24
[8,5,4,3,7,6,1,2]=>[[1,5],[2,6],[3,8],[4],[7]]=>18
[4,8,1,3,6,7,5,2]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[3,5,8,6,1,7,4,2]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[8,1,4,7,5,2,6,3]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[1,4,8,6,7,3,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[4,1,6,7,8,5,3,2]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[3,7,8,6,4,1,5,2]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[4,6,1,5,7,2,3,8]=>[[1,2,5,8],[3,4,7],[6]]=>12
[4,8,5,3,2,7,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[5,4,8,1,3,7,2,6]=>[[1,3,6],[2,5],[4,8],[7]]=>23
[8,4,5,3,1,7,2,6]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[7,4,5,3,1,8,6,2]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[5,6,8,7,2,4,3,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[5,7,8,6,4,2,3,1]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[6,8,7,5,1,3,2,4]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[3,8,2,6,7,5,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[4,7,6,3,8,2,5,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[6,7,4,1,8,2,5,3]=>[[1,2,5],[3,6,7],[4,8]]=>11
[5,7,6,8,3,2,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[7,6,4,2,8,1,5,3]=>[[1,5],[2,7],[3,8],[4],[6]]=>19
[6,3,4,8,7,1,2,5]=>[[1,3,4],[2,5,8],[6,7]]=>14
[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]]=>10
[3,4,7,8,6,1,2,5]=>[[1,2,3,4],[5,7,8],[6]]=>7
[2,1,4,7,8,6,3,5]=>[[1,3,4,5],[2,6,8],[7]]=>12
[2,4,5,8,1,6,3,7]=>[[1,2,3,4,8],[5,6],[7]]=>5
[3,4,6,8,2,5,7,1]=>[[1,2,3,4],[5,6,7],[8]]=>5
[1,8,5,6,4,2,3,7]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[1,8,7,6,2,4,5,3]=>[[1,2,6,7],[3],[4],[5],[8]]=>13
[6,4,8,5,7,3,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[1,6,4,7,2,5,8,3]=>[[1,2,4,7],[3,6],[5,8]]=>16
[2,7,5,1,8,6,3,4]=>[[1,2,5],[3,6,8],[4,7]]=>12
[4,7,1,6,5,3,8,2]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[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]]=>12
[8,3,1,4,6,2,7,5]=>[[1,4,5,7],[2,6,8],[3]]=>12
[7,2,6,4,5,8,1,3]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[2,7,1,5,3,8,6,4]=>[[1,2,6],[3,4,7],[5,8]]=>10
[3,5,7,2,8,4,1,6]=>[[1,2,3,5],[4,6,8],[7]]=>10
[2,4,3,8,5,1,7,6]=>[[1,2,4,7],[3,5],[6,8]]=>13
[7,3,2,1,4,8,6,5]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[2,8,3,4,1,7,6,5]=>[[1,2,4,6],[3,7],[5],[8]]=>15
[4,7,6,8,2,5,3,1]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[2,6,7,1,4,5,8,3]=>[[1,2,3,7],[4,5,6],[8]]=>7
[8,7,2,6,1,5,3,4]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[7,1,3,8,2,6,4,5]=>[[1,3,4,8],[2,6],[5,7]]=>16
[6,2,5,3,4,7,1,8]=>[[1,3,5,6,8],[2],[4],[7]]=>17
[2,7,3,4,1,5,8,6]=>[[1,2,4,6,7],[3,8],[5]]=>12
[2,5,8,1,6,7,3,4]=>[[1,2,3,6],[4,5,8],[7]]=>9
[6,2,8,3,4,5,1,7]=>[[1,3,5,6,8],[2,4],[7]]=>15
[3,6,4,1,2,5,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>12
[3,5,4,1,6,2,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>11
[4,5,7,2,8,3,1,6]=>[[1,2,3,5],[4,6,8],[7]]=>10
[3,5,1,7,6,2,8,4]=>[[1,2,4,7],[3,5,8],[6]]=>12
[8,3,6,2,7,5,4,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[8,4,2,6,5,3,7,1]=>[[1,4,7],[2,5],[3],[6],[8]]=>18
[5,4,2,7,1,8,6,3]=>[[1,4,6],[2,7],[3,8],[5]]=>17
[4,1,7,6,5,3,2,8]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[2,3,6,7,1,8,5,4]=>[[1,2,3,4,6],[5,7],[8]]=>7
[3,6,1,2,7,8,5,4]=>[[1,2,5,6],[3,4,7],[8]]=>9
[4,5,1,8,7,6,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[8,4,5,2,7,6,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[4,1,3,6,7,5,2,8]=>[[1,3,4,5,8],[2,6],[7]]=>11
[3,1,4,5,7,6,2,8]=>[[1,3,4,5,8],[2,6],[7]]=>11
[4,5,1,3,6,8,7,2]=>[[1,2,5,6],[3,4,7],[8]]=>9
[3,8,5,1,2,4,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>11
[8,5,1,2,4,3,6,7]=>[[1,4,5,7,8],[2],[3],[6]]=>13
[5,8,4,1,2,3,6,7]=>[[1,2,6,7,8],[3,5],[4]]=>11
[3,5,8,1,4,2,7,6]=>[[1,2,3],[4,5,7],[6,8]]=>9
[2,8,5,7,1,4,3,6]=>[[1,2,4],[3,6,8],[5],[7]]=>17
[4,8,7,5,1,2,3,6]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[8,1,2,4,6,3,7,5]=>[[1,3,4,5,7],[2,8],[6]]=>12
[7,6,1,4,2,3,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[6,1,2,7,8,4,3,5]=>[[1,3,4,5],[2,6,8],[7]]=>12
[7,8,1,2,5,3,4,6]=>[[1,2,5,7,8],[3,4],[6]]=>10
[1,8,4,7,5,2,3,6]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[8,4,7,2,1,6,3,5]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[4,5,8,2,1,6,7,3]=>[[1,2,3,7],[4,6],[5,8]]=>11
[7,4,2,5,3,6,1,8]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[3,1,6,7,5,2,4,8]=>[[1,3,4,8],[2,5,7],[6]]=>14
[8,4,2,5,3,6,7,1]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[4,8,1,5,3,6,7,2]=>[[1,2,6,7],[3,4],[5],[8]]=>10
[4,1,7,5,2,6,3,8]=>[[1,3,6,8],[2,4,7],[5]]=>15
[7,1,5,3,6,8,2,4]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[4,5,2,6,1,8,3,7]=>[[1,2,4,6],[3,7,8],[5]]=>13
[5,1,8,6,7,3,4,2]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[5,4,8,2,1,3,6,7]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[1,4,8,3,2,6,5,7]=>[[1,2,3,8],[4,6],[5,7]]=>10
[1,3,8,4,2,7,5,6]=>[[1,2,3,6,8],[4,7],[5]]=>8
[7,2,8,3,1,4,5,6]=>[[1,3,6,7,8],[2,4],[5]]=>13
[8,1,3,2,7,5,4,6]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[7,6,1,8,2,5,4,3]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[8,4,1,6,7,3,5,2]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[5,8,4,2,1,6,3,7]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[7,6,4,1,2,5,3,8]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[5,4,2,8,1,6,3,7]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[8,7,2,6,4,5,3,1]=>[[1,4,6],[2],[3],[5],[7],[8]]=>23
[7,2,8,4,3,6,1,5]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[1,7,5,4,8,6,2,3]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[4,8,6,3,5,2,1,7]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[5,8,6,3,2,7,1,4]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[5,7,6,3,2,4,8,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[5,7,3,2,8,6,4,1]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[4,5,1,6,8,2,7,3]=>[[1,2,4,5],[3,6,7],[8]]=>10
[1,6,3,7,2,4,8,5]=>[[1,2,4,7],[3,6,8],[5]]=>15
[4,3,1,6,7,2,5,8]=>[[1,4,5,8],[2,6,7],[3]]=>11
[6,3,1,5,7,2,4,8]=>[[1,4,5,8],[2,6,7],[3]]=>11
[5,2,1,4,8,6,7,3]=>[[1,4,5,7],[2,6],[3,8]]=>13
[4,5,2,1,3,7,6,8]=>[[1,2,6,8],[3,5,7],[4]]=>13
[8,2,7,4,1,6,5,3]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[3,2,8,4,1,6,5,7]=>[[1,3,6,8],[2,4],[5,7]]=>16
[7,1,8,4,2,3,6,5]=>[[1,3,6,7],[2,4],[5,8]]=>15
[2,7,6,4,5,1,8,3]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[3,6,8,1,5,7,4,2]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[2,8,3,1,6,7,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>9
[4,5,6,8,2,1,7,3]=>[[1,2,3,4],[5,7],[6,8]]=>8
[4,5,6,8,1,3,7,2]=>[[1,2,3,4],[5,6,7],[8]]=>5
[4,5,8,3,2,1,7,6]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[4,5,1,3,2,6,7,8]=>[[1,2,6,7,8],[3,4],[5]]=>7
[4,7,3,2,1,6,5,8]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[4,7,8,3,5,1,6,2]=>[[1,2,3],[4,5,7],[6,8]]=>9
[4,7,1,3,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>9
[4,8,3,2,1,6,7,5]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[5,2,8,1,4,6,7,3]=>[[1,3,6,7],[2,5],[4,8]]=>19
[5,6,3,7,8,1,4,2]=>[[1,2,4,5],[3,7],[6,8]]=>13
[5,7,1,4,3,6,2,8]=>[[1,2,6,8],[3,4],[5],[7]]=>11
[6,2,3,7,1,5,4,8]=>[[1,3,4,8],[2,6],[5,7]]=>16
[6,2,8,1,5,4,7,3]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[6,1,3,4,5,2,7,8]=>[[1,3,4,5,7,8],[2],[6]]=>11
[7,1,3,4,5,6,2,8]=>[[1,3,4,5,6,8],[2],[7]]=>10
[7,2,5,1,3,6,4,8]=>[[1,3,6,8],[2,5,7],[4]]=>19
[6,5,2,7,8,4,3,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[7,5,3,6,4,2,1,8]=>[[1,4,8],[2,5],[3],[6],[7]]=>17
[1,3,6,7,5,2,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>7
[1,5,2,6,8,7,3,4]=>[[1,2,4,5],[3,6,8],[7]]=>11
[5,3,4,7,2,1,6,8]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[4,8,5,7,1,2,3,6]=>[[1,2,4,8],[3,6,7],[5]]=>14
[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]]=>13
[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]]=>15
[1,5,7,4,8,6,2,3]=>[[1,2,3,5],[4,6],[7,8]]=>10
[6,1,5,7,3,8,2,4]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[1,2,7,8,6,4,3,5]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[3,5,1,7,8,6,2,4]=>[[1,2,4,5],[3,6,8],[7]]=>11
[5,2,4,1,7,6,8,3]=>[[1,3,5,7],[2,6],[4,8]]=>18
[5,4,3,8,1,7,2,6]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[7,3,1,5,6,8,4,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[7,2,3,1,6,8,4,5]=>[[1,3,5,6],[2,7,8],[4]]=>15
[5,7,8,1,6,2,3,4]=>[[1,2,3,8],[4,5,7],[6]]=>8
[1,6,4,2,7,3,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>11
[1,4,2,5,8,6,3,7]=>[[1,2,4,5,8],[3,6],[7]]=>10
[4,8,2,1,5,7,3,6]=>[[1,2,6],[3,5,8],[4,7]]=>15
[5,2,7,1,6,3,4,8]=>[[1,3,7,8],[2,5],[4,6]]=>18
[4,8,2,5,1,6,3,7]=>[[1,2,6,8],[3,4],[5,7]]=>10
[5,8,1,2,4,6,3,7]=>[[1,2,5,6,8],[3,4],[7]]=>9
[5,1,7,3,6,4,2,8]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[3,2,7,5,6,1,4,8]=>[[1,3,5,8],[2,4],[6,7]]=>17
[3,2,7,1,6,4,5,8]=>[[1,3,7,8],[2,5],[4,6]]=>18
[6,3,1,7,5,4,2,8]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[6,2,8,7,3,4,5,1]=>[[1,3,6,7],[2,4],[5],[8]]=>16
[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]]=>14
[1,4,7,5,6,2,8,3]=>[[1,2,3,5,7],[4,8],[6]]=>10
[1,7,4,8,3,5,6,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[5,3,1,4,8,6,2,7]=>[[1,4,5,8],[2,6],[3,7]]=>12
[5,2,4,8,3,1,6,7]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[7,4,5,1,8,6,2,3]=>[[1,3,5],[2,6,8],[4,7]]=>18
[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]]=>17
[7,4,8,3,1,6,5,2]=>[[1,3],[2,6],[4,7],[5,8]]=>21
[8,1,5,3,7,6,2,4]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[6,4,8,7,3,5,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>18
[6,1,4,2,3,5,7,8]=>[[1,3,5,6,7,8],[2],[4]]=>13
[7,1,4,3,8,6,5,2]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[6,1,5,7,2,8,3,4]=>[[1,3,4,6],[2,7,8],[5]]=>14
[1,8,2,6,7,4,3,5]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[7,2,4,1,8,5,3,6]=>[[1,3,5,8],[2,6],[4,7]]=>17
[7,3,2,1,4,6,8,5]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[4,7,2,6,1,8,3,5]=>[[1,2,6],[3,4,8],[5,7]]=>11
[7,5,3,2,1,6,8,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[6,8,1,3,4,2,5,7]=>[[1,2,5,7,8],[3,4],[6]]=>10
[3,6,1,4,7,8,2,5]=>[[1,2,5,6],[3,4,8],[7]]=>10
[2,5,7,1,3,6,4,8]=>[[1,2,3,8],[4,5,6],[7]]=>6
[1,4,7,2,5,3,6,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[4,5,3,1,2,6,8,7]=>[[1,2,6,7],[3,5,8],[4]]=>12
[4,5,1,3,8,2,6,7]=>[[1,2,5,8],[3,4,7],[6]]=>12
[4,1,5,3,2,7,6,8]=>[[1,3,6,8],[2,4,7],[5]]=>15
[7,3,5,1,4,2,6,8]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[6,2,1,7,4,3,8,5]=>[[1,4,7],[2,5,8],[3,6]]=>14
[2,4,3,6,7,1,5,8]=>[[1,2,4,5,8],[3,7],[6]]=>12
[7,3,5,2,1,6,4,8]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[4,6,5,2,1,3,7,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[2,5,6,1,4,3,7,8]=>[[1,2,3,7,8],[4,5],[6]]=>6
[6,1,5,3,7,2,4,8]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[3,6,5,4,1,7,2,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[6,8,7,5,4,2,1,3]=>[[1,2],[3,8],[4],[5],[6],[7]]=>17
[1,6,8,7,3,2,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[8,7,5,4,6,1,3,2]=>[[1,5],[2,7],[3],[4],[6],[8]]=>22
[1,7,8,2,4,6,3,5]=>[[1,2,3,6],[4,5],[7,8]]=>9
[7,5,4,8,1,3,6,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[5,6,1,8,4,3,7,2]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[1,8,2,6,7,5,4,3]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[2,7,5,1,6,8,3,4]=>[[1,2,5,6],[3,7,8],[4]]=>9
[8,5,4,2,7,3,6,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[3,8,6,1,2,4,5,7]=>[[1,2,6,7,8],[3,5],[4]]=>11
[1,8,5,3,2,7,4,6]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[1,8,4,7,2,3,5,6]=>[[1,2,4,7,8],[3,6],[5]]=>14
[3,2,8,1,7,5,4,6]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[7,1,5,6,2,3,4,8]=>[[1,3,4,7,8],[2,6],[5]]=>15
[6,5,1,7,2,3,4,8]=>[[1,4,6,7,8],[2,5],[3]]=>12
[1,6,8,2,7,3,4,5]=>[[1,2,3,7,8],[4,5],[6]]=>6
[1,6,8,7,3,4,2,5]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[4,1,3,6,7,8,5,2]=>[[1,3,4,5,6],[2,7],[8]]=>10
[7,4,1,5,6,8,3,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[4,1,2,6,7,8,5,3]=>[[1,3,4,5,6],[2,7],[8]]=>10
[6,3,7,1,8,2,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>16
[1,5,4,7,8,3,6,2]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[5,1,4,7,8,3,6,2]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[4,8,1,5,6,2,3,7]=>[[1,2,5,8],[3,4,7],[6]]=>12
[5,6,4,1,7,3,8,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[4,3,7,8,2,5,1,6]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[3,7,8,5,4,2,1,6]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[1,7,4,5,6,8,3,2]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[7,2,4,5,6,8,3,1]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[2,7,4,5,6,8,3,1]=>[[1,2,4,5,6],[3],[7],[8]]=>11
[2,4,7,8,3,1,6,5]=>[[1,2,3,4],[5,7],[6,8]]=>8
[5,4,3,6,8,1,7,2]=>[[1,4,5],[2,7],[3,8],[6]]=>16
[3,7,4,5,8,1,6,2]=>[[1,2,4,5],[3,7],[6,8]]=>13
[1,4,3,5,6,8,2,7]=>[[1,2,4,5,6],[3,8],[7]]=>10
[1,4,6,5,8,2,7,3]=>[[1,2,3,5],[4,7],[6,8]]=>12
[4,6,1,7,3,2,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>12
[1,7,3,6,4,2,8,5]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[4,7,3,5,1,2,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>9
[1,6,4,2,3,5,8,7]=>[[1,2,5,6,7],[3,8],[4]]=>8
[4,8,3,5,2,1,6,7]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[1,6,8,4,7,5,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[4,7,1,6,8,2,3,5]=>[[1,2,5,8],[3,4,7],[6]]=>12
[4,6,5,8,2,3,7,1]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[7,1,8,2,4,5,3,6]=>[[1,3,5,6,8],[2,4],[7]]=>15
[5,7,8,2,3,4,1,6]=>[[1,2,3,8],[4,5,6],[7]]=>6
[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]]=>16
[2,7,6,4,8,3,1,5]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[2,6,3,7,5,8,4,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[7,5,1,2,3,8,4,6]=>[[1,4,5,6,8],[2,7],[3]]=>10
[8,6,2,1,3,7,4,5]=>[[1,5,6,8],[2,7],[3],[4]]=>12
[4,2,3,6,8,5,7,1]=>[[1,3,4,5],[2,6,7],[8]]=>11
[4,7,3,2,6,5,1,8]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[4,3,7,8,2,1,6,5]=>[[1,3,4],[2,7],[5,8],[6]]=>17
[4,8,7,2,1,5,6,3]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[7,3,8,2,5,1,6,4]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[4,5,3,8,6,1,2,7]=>[[1,2,4,8],[3,5],[6,7]]=>12
[6,3,5,8,4,1,2,7]=>[[1,3,4],[2,7,8],[5],[6]]=>16
[7,3,8,4,5,1,2,6]=>[[1,3,5,8],[2,4],[6,7]]=>17
[4,8,7,5,1,2,6,3]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[7,8,4,6,1,3,5,2]=>[[1,2,7],[3,4],[5,6],[8]]=>11
[4,8,7,5,1,3,6,2]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[4,5,3,6,8,1,2,7]=>[[1,2,4,5],[3,7,8],[6]]=>12
[7,8,6,2,1,4,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[7,8,6,3,1,2,5,4]=>[[1,2,7],[3,6],[4,8],[5]]=>14
[5,2,8,4,7,1,3,6]=>[[1,3,5],[2,4,8],[6,7]]=>18
[7,3,1,2,8,6,5,4]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[8,7,1,3,2,4,5,6]=>[[1,4,6,7,8],[2],[3],[5]]=>14
[6,8,2,1,4,5,3,7]=>[[1,2,6,8],[3,5],[4,7]]=>14
[1,5,4,8,7,3,2,6]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[4,3,1,2,6,5,7,8]=>[[1,4,5,7,8],[2,6],[3]]=>11
[7,5,8,1,2,4,6,3]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[6,1,5,2,8,7,4,3]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[4,6,3,5,7,1,2,8]=>[[1,2,5,8],[3,4],[6,7]]=>11
[1,4,7,2,6,5,8,3]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[1,5,7,2,6,4,8,3]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[7,2,4,6,1,8,3,5]=>[[1,3,4,6],[2,7,8],[5]]=>14
[1,2,7,8,3,5,4,6]=>[[1,2,3,4,8],[5,6],[7]]=>5
[1,7,6,2,8,5,4,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[1,2,7,8,3,4,6,5]=>[[1,2,3,4,7],[5,6],[8]]=>6
[1,7,6,8,3,4,2,5]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[3,4,1,7,8,6,5,2]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[2,4,8,6,5,7,1,3]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[5,1,3,4,8,2,7,6]=>[[1,3,4,5],[2,7],[6,8]]=>14
[8,7,3,6,1,4,2,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[6,5,1,8,3,4,7,2]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[8,2,1,5,6,4,7,3]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[7,5,6,1,3,4,8,2]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[5,7,2,4,6,1,8,3]=>[[1,2,5,7],[3,4],[6,8]]=>12
[2,1,5,6,3,8,7,4]=>[[1,3,4,6],[2,5,7],[8]]=>14
[3,2,7,5,8,6,4,1]=>[[1,3,5],[2,4,6],[7],[8]]=>18
[2,4,5,3,8,1,7,6]=>[[1,2,3,5],[4,7],[6,8]]=>12
[7,2,5,4,3,8,6,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[8,5,3,1,2,6,7,4]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[7,2,5,1,3,6,8,4]=>[[1,3,6,7],[2,5,8],[4]]=>18
[8,4,7,3,1,2,6,5]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[1,8,7,3,5,2,6,4]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[2,4,8,3,6,5,7,1]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[3,1,8,2,6,5,7,4]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[4,6,7,8,5,2,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[4,7,2,1,8,6,5,3]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[5,6,2,8,4,1,7,3]=>[[1,2,4],[3,5,7],[6,8]]=>14
[5,7,2,4,8,6,1,3]=>[[1,2,5],[3,4,6],[7,8]]=>11
[6,7,2,4,8,5,1,3]=>[[1,2,5],[3,4,6],[7,8]]=>11
[6,7,3,2,8,5,1,4]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[7,2,3,1,8,6,5,4]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[7,2,8,3,5,6,1,4]=>[[1,3,5,6],[2,4],[7,8]]=>16
[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]]=>10
[1,7,3,8,5,4,2,6]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[7,2,8,4,5,3,1,6]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[2,8,6,4,3,1,7,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[1,7,3,4,8,2,5,6]=>[[1,2,4,5,8],[3,7],[6]]=>12
[1,5,8,3,4,6,2,7]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,3,8,4,2,5,7,6]=>[[1,2,3,6,7],[4,8],[5]]=>7
[1,4,7,6,2,3,8,5]=>[[1,2,3,7],[4,6,8],[5]]=>10
[1,8,4,6,7,2,3,5]=>[[1,2,4,5],[3,7,8],[6]]=>12
[1,4,2,3,7,8,6,5]=>[[1,2,4,5,6],[3,7],[8]]=>9
[5,7,1,6,4,8,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[7,4,5,8,1,3,6,2]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[1,4,3,6,2,5,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>15
[1,3,6,5,8,2,4,7]=>[[1,2,3,5],[4,7,8],[6]]=>11
[1,4,6,3,2,8,5,7]=>[[1,2,3,6],[4,7,8],[5]]=>8
[6,8,4,1,5,7,2,3]=>[[1,2,6],[3,5,8],[4,7]]=>15
[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]]=>20
[7,8,3,1,6,4,5,2]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[5,8,2,6,3,1,7,4]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[4,5,8,1,6,3,7,2]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[8,1,4,6,2,5,7,3]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[4,5,8,1,6,2,7,3]=>[[1,2,3,7],[4,5,8],[6]]=>7
[5,2,6,8,1,4,3,7]=>[[1,3,4],[2,6,8],[5,7]]=>17
[6,7,3,8,2,1,4,5]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[2,7,3,5,4,1,8,6]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[2,6,3,7,4,1,8,5]=>[[1,2,4,7],[3,5,8],[6]]=>12
[2,1,4,8,5,3,7,6]=>[[1,3,4,7],[2,5,8],[6]]=>13
[2,7,3,8,4,1,6,5]=>[[1,2,4,7],[3,5],[6,8]]=>13
[2,6,3,1,5,4,8,7]=>[[1,2,5,7],[3,6,8],[4]]=>11
[1,5,8,3,4,7,2,6]=>[[1,2,3,6],[4,5],[7,8]]=>9
[5,3,8,1,4,6,2,7]=>[[1,3,6,8],[2,5],[4,7]]=>20
[4,5,8,1,3,6,2,7]=>[[1,2,3,8],[4,5,6],[7]]=>6
[7,4,6,5,2,8,3,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[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]]=>15
[4,6,3,1,7,2,8,5]=>[[1,2,5,7],[3,6,8],[4]]=>11
[7,2,6,3,1,8,5,4]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[4,8,7,2,5,3,1,6]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[1,6,3,2,8,7,4,5]=>[[1,2,5,8],[3,6],[4,7]]=>11
[2,8,1,7,5,4,6,3]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[6,8,3,1,5,7,2,4]=>[[1,2,6],[3,5,8],[4,7]]=>15
[8,7,3,1,2,5,6,4]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[5,4,3,6,1,7,8,2]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[3,2,7,8,5,6,1,4]=>[[1,3,4],[2,5,6],[7,8]]=>13
[4,8,3,2,1,7,5,6]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[1,8,4,5,6,3,2,7]=>[[1,2,4,5,8],[3],[6],[7]]=>12
[8,5,1,7,4,6,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[1,3,7,8,4,6,2,5]=>[[1,2,3,4],[5,6],[7,8]]=>6
[4,8,7,3,6,1,2,5]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[5,8,4,3,7,1,2,6]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[5,6,4,8,7,2,1,3]=>[[1,2,4],[3,5],[6,8],[7]]=>15
[4,8,3,7,6,1,2,5]=>[[1,2,8],[3,4],[5,7],[6]]=>12
[2,8,4,7,1,3,6,5]=>[[1,2,4],[3,6,7],[5],[8]]=>16
[6,8,3,4,5,2,1,7]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[3,7,1,4,5,6,2,8]=>[[1,2,5,6,8],[3,4],[7]]=>9
[3,6,1,4,5,2,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>10
[3,8,2,4,5,1,7,6]=>[[1,2,5,7],[3,4],[6,8]]=>12
[3,7,2,1,5,6,4,8]=>[[1,2,6,8],[3,5],[4,7]]=>14
[3,6,8,1,5,4,7,2]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[1,7,4,6,3,5,2,8]=>[[1,2,4,8],[3,6],[5],[7]]=>16
[1,3,6,5,7,2,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>11
[1,7,2,5,6,4,3,8]=>[[1,2,4,5,8],[3],[6],[7]]=>12
[1,6,8,5,4,3,7,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[2,5,7,8,4,3,1,6]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[6,8,5,3,2,4,1,7]=>[[1,2,8],[3,6],[4],[5],[7]]=>15
[1,6,8,5,3,2,7,4]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[4,6,1,8,7,5,3,2]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[1,3,7,6,8,5,2,4]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[4,1,7,8,6,5,2,3]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[5,4,3,7,6,1,2,8]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[4,7,6,1,2,3,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>12
[4,5,2,6,7,8,1,3]=>[[1,2,4,5,6],[3,8],[7]]=>10
[1,7,6,2,3,8,5,4]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[4,5,1,3,7,6,2,8]=>[[1,2,5,8],[3,4,6],[7]]=>10
[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]]=>12
[1,3,7,5,8,4,6,2]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[5,8,1,2,7,6,4,3]=>[[1,2,5],[3,4],[6],[7],[8]]=>15
[1,6,7,4,5,3,2,8]=>[[1,2,3,8],[4,5],[6],[7]]=>8
[1,4,2,6,7,5,3,8]=>[[1,2,4,5,8],[3,6],[7]]=>10
[1,8,2,4,6,5,3,7]=>[[1,2,4,5,8],[3],[6],[7]]=>12
[7,2,1,6,4,3,8,5]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[1,4,8,7,2,3,6,5]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[4,1,3,6,5,8,2,7]=>[[1,3,4,6],[2,5,8],[7]]=>15
[4,3,7,1,5,8,2,6]=>[[1,3,6],[2,5,8],[4,7]]=>21
[1,8,6,5,2,7,4,3]=>[[1,2,6],[3,7],[4],[5],[8]]=>14
[1,8,6,2,7,4,3,5]=>[[1,2,5,8],[3,6],[4],[7]]=>12
[6,4,1,8,3,7,5,2]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[4,5,8,7,3,6,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[3,5,4,1,7,8,6,2]=>[[1,2,5,6],[3,7],[4,8]]=>10
[6,8,7,2,1,5,4,3]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[8,1,6,3,7,5,4,2]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[8,5,1,3,7,6,4,2]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[8,3,6,5,4,2,1,7]=>[[1,3,8],[2],[4],[5],[6],[7]]=>22
[6,1,3,5,7,2,8,4]=>[[1,3,4,5,7],[2,8],[6]]=>12
[2,8,1,5,6,4,3,7]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[1,6,7,5,8,4,2,3]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[7,4,1,6,5,2,8,3]=>[[1,4,7],[2,5,8],[3],[6]]=>15
[7,4,2,8,6,5,3,1]=>[[1,4],[2,5],[3,6],[7],[8]]=>18
[6,8,4,7,3,2,5,1]=>[[1,2],[3,4],[5,7],[6],[8]]=>15
[5,8,7,3,2,1,6,4]=>[[1,2],[3,7],[4,8],[5],[6]]=>15
[5,8,7,2,6,4,3,1]=>[[1,2],[3,5],[4],[6],[7],[8]]=>20
[6,8,7,3,5,1,4,2]=>[[1,2],[3,5],[4,7],[6],[8]]=>19
[7,2,5,6,8,3,4,1]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[1,6,5,7,8,3,2,4]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[8,6,7,2,3,5,4,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[5,4,8,6,7,3,1,2]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[4,2,7,3,1,6,8,5]=>[[1,3,6,7],[2,4],[5,8]]=>15
[7,3,6,4,2,1,8,5]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[4,8,5,2,7,3,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[6,4,3,1,8,5,2,7]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[7,4,3,1,5,8,6,2]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[7,4,8,6,5,3,1,2]=>[[1,3],[2,4],[5,8],[6],[7]]=>20
[4,8,5,2,6,7,3,1]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[7,3,2,1,8,5,6,4]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[1,5,7,2,4,3,8,6]=>[[1,2,3,7],[4,5,8],[6]]=>7
[1,2,7,5,8,4,3,6]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[5,1,3,8,2,7,4,6]=>[[1,3,4,8],[2,6],[5,7]]=>16
[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]]=>17
[8,1,7,2,3,6,5,4]=>[[1,3,5,6],[2],[4],[7],[8]]=>20
[7,1,2,6,4,3,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[1,4,7,8,3,2,5,6]=>[[1,2,3,4],[5,7,8],[6]]=>7
[8,7,1,3,2,4,6,5]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[8,1,6,3,2,4,7,5]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[1,8,2,7,6,3,5,4]=>[[1,2,4,7],[3],[5],[6],[8]]=>17
[8,1,6,3,2,7,4,5]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[8,2,1,7,6,3,4,5]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[8,7,2,4,3,1,5,6]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[4,7,6,2,3,1,5,8]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[4,7,6,1,3,2,8,5]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[2,8,1,3,5,6,4,7]=>[[1,2,5,6,8],[3,4],[7]]=>9
[2,6,3,4,7,8,5,1]=>[[1,2,4,5,6],[3,7],[8]]=>9
[7,6,3,1,8,5,2,4]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[7,2,1,3,6,8,5,4]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[7,6,3,8,1,5,2,4]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[1,6,4,7,8,5,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[7,2,5,8,6,1,3,4]=>[[1,3,4],[2,5,8],[6,7]]=>14
[4,1,3,6,2,5,8,7]=>[[1,3,4,7],[2,6,8],[5]]=>16
[7,1,4,6,3,2,5,8]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[7,4,5,8,6,2,3,1]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[6,7,2,3,8,4,1,5]=>[[1,2,5,8],[3,4,6],[7]]=>10
[2,7,8,1,5,4,3,6]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[1,5,2,6,8,7,4,3]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[1,8,3,7,5,2,6,4]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[8,1,3,6,5,2,7,4]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[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]]=>8
[7,4,1,5,2,6,8,3]=>[[1,4,6,7],[2,5,8],[3]]=>13
[3,1,6,7,5,2,8,4]=>[[1,3,4,7],[2,5,8],[6]]=>13
[8,6,2,4,5,1,7,3]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[8,6,7,5,2,1,4,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[7,1,4,5,2,6,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>13
[4,1,6,2,3,8,7,5]=>[[1,3,5,6],[2,4,7],[8]]=>15
[4,1,7,6,5,2,8,3]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[8,4,1,5,6,2,7,3]=>[[1,4,5,7],[2,6,8],[3]]=>12
[8,4,5,3,6,1,7,2]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[2,8,4,7,3,5,6,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[1,5,4,8,3,2,6,7]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[1,5,7,6,3,8,2,4]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[2,6,3,1,7,8,4,5]=>[[1,2,5,6],[3,7,8],[4]]=>9
[2,1,7,8,3,5,4,6]=>[[1,3,4,8],[2,5,6],[7]]=>12
[1,5,8,6,7,4,2,3]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[8,7,1,3,5,2,6,4]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[3,7,8,2,5,4,1,6]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[4,7,6,5,8,1,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[4,7,8,6,2,1,5,3]=>[[1,2,3],[4,7],[5,8],[6]]=>11
[4,8,6,3,2,1,7,5]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[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]]=>15
[5,3,7,4,6,1,8,2]=>[[1,3,5,7],[2,4],[6,8]]=>18
[4,1,5,7,8,6,3,2]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[3,6,7,1,5,4,8,2]=>[[1,2,3,7],[4,5],[6],[8]]=>9
[3,6,4,7,5,8,2,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[8,1,7,3,2,4,5,6]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[6,4,7,1,5,2,8,3]=>[[1,3,7],[2,5,8],[4,6]]=>19
[1,6,5,2,8,7,4,3]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[4,1,7,2,5,8,3,6]=>[[1,3,5,6],[2,4,8],[7]]=>16
[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]]=>13
[6,4,7,2,5,3,1,8]=>[[1,3,8],[2,5],[4,6],[7]]=>20
[7,1,4,3,6,8,2,5]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[4,8,7,3,5,1,6,2]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[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]]=>17
[8,6,3,5,2,7,1,4]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[8,4,6,2,1,5,7,3]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[8,5,2,1,6,4,7,3]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[1,7,2,8,5,4,6,3]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[6,7,1,4,8,5,3,2]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[7,3,2,8,5,1,4,6]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[4,1,7,3,2,8,5,6]=>[[1,3,6,8],[2,4,7],[5]]=>15
[8,3,5,2,4,7,1,6]=>[[1,3,6],[2,5,8],[4],[7]]=>22
[4,3,7,8,6,1,5,2]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[1,2,6,3,7,8,5,4]=>[[1,2,3,5,6],[4,7],[8]]=>8
[6,1,3,7,8,5,4,2]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[2,6,4,7,5,3,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[4,5,1,8,6,2,7,3]=>[[1,2,4,7],[3,5,8],[6]]=>12
[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]]=>12
[3,8,6,1,5,2,4,7]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[3,2,8,1,5,6,4,7]=>[[1,3,6,8],[2,5],[4,7]]=>20
[5,8,7,3,2,1,4,6]=>[[1,2,8],[3,7],[4],[5],[6]]=>14
[3,4,7,6,8,2,1,5]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[2,8,1,3,7,5,6,4]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[1,8,7,2,5,6,4,3]=>[[1,2,5,6],[3],[4],[7],[8]]=>14
[3,4,7,1,5,8,2,6]=>[[1,2,3,6],[4,5,8],[7]]=>9
[1,4,7,5,2,3,6,8]=>[[1,2,3,7,8],[4,6],[5]]=>9
[2,5,7,6,8,3,4,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[3,1,6,7,2,8,5,4]=>[[1,3,4,6],[2,5,7],[8]]=>14
[1,5,3,6,8,4,7,2]=>[[1,2,4,5],[3,6,7],[8]]=>10
[6,5,1,3,8,4,7,2]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[1,7,4,8,5,3,2,6]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[7,3,1,6,8,4,5,2]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[8,5,1,4,6,7,3,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>15
[3,4,7,5,6,8,2,1]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[3,4,7,8,5,2,6,1]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[4,8,1,7,5,6,3,2]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[1,8,7,5,2,6,3,4]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[1,7,6,3,4,5,8,2]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[1,8,7,4,5,6,2,3]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[1,8,7,3,6,4,2,5]=>[[1,2,5,8],[3],[4],[6],[7]]=>15
[1,4,7,5,8,2,6,3]=>[[1,2,3,5],[4,7],[6,8]]=>12
[1,4,7,2,3,6,5,8]=>[[1,2,3,6,8],[4,5],[7]]=>8
[1,7,2,5,6,3,4,8]=>[[1,2,4,5,8],[3,7],[6]]=>12
[1,2,6,5,8,3,4,7]=>[[1,2,3,5,8],[4,7],[6]]=>11
[1,5,8,2,6,3,4,7]=>[[1,2,3,7,8],[4,5],[6]]=>6
[6,8,3,2,7,5,1,4]=>[[1,2],[3,5],[4,6],[7,8]]=>16
[7,3,6,8,1,2,5,4]=>[[1,3,4],[2,6,7],[5],[8]]=>17
[4,1,5,7,2,6,3,8]=>[[1,3,4,8],[2,5,6],[7]]=>12
[5,7,2,1,3,6,4,8]=>[[1,2,6,8],[3,5],[4,7]]=>14
[3,5,6,7,2,4,1,8]=>[[1,2,3,4,8],[5,6],[7]]=>5
[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]]=>12
[2,1,5,6,4,8,3,7]=>[[1,3,4,6],[2,5,8],[7]]=>15
[5,1,4,7,8,6,2,3]=>[[1,3,4,5],[2,6],[7,8]]=>12
[1,6,7,2,8,5,4,3]=>[[1,2,3,5],[4,6],[7],[8]]=>11
[5,3,2,1,7,8,6,4]=>[[1,5,6],[2,7],[3,8],[4]]=>13
[7,4,3,8,6,1,5,2]=>[[1,4],[2,5],[3,7],[6,8]]=>19
[4,3,7,1,5,8,6,2]=>[[1,3,6],[2,5,7],[4,8]]=>20
[8,2,4,5,3,1,7,6]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[1,4,3,2,7,5,8,6]=>[[1,2,5,7],[3,6,8],[4]]=>11
[4,8,7,2,6,1,3,5]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[4,5,8,2,1,7,3,6]=>[[1,2,3],[4,6,8],[5,7]]=>11
[6,8,4,1,7,3,2,5]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[6,3,1,8,2,7,5,4]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[4,1,7,8,3,2,5,6]=>[[1,3,4,8],[2,5,7],[6]]=>14
[7,6,2,8,4,5,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[5,8,2,1,3,6,4,7]=>[[1,2,6,8],[3,5],[4,7]]=>14
[8,5,1,7,3,4,6,2]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[5,7,6,3,4,1,8,2]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[1,8,3,5,2,6,4,7]=>[[1,2,4,6,8],[3,7],[5]]=>13
[3,4,6,1,8,5,7,2]=>[[1,2,3,5],[4,6,7],[8]]=>9
[2,3,8,7,4,5,1,6]=>[[1,2,3,6,8],[4],[5],[7]]=>10
[1,8,3,5,7,4,2,6]=>[[1,2,4,5],[3,8],[6],[7]]=>13
[2,5,8,4,6,7,1,3]=>[[1,2,3,6],[4,5],[7,8]]=>9
[7,1,2,6,4,3,5,8]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[7,1,2,6,5,3,4,8]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[4,7,8,6,2,3,5,1]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[7,1,2,4,8,6,5,3]=>[[1,3,4,5],[2,6],[7],[8]]=>13
[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]]=>14
[3,5,1,2,6,8,7,4]=>[[1,2,5,6],[3,4,7],[8]]=>9
[3,1,2,4,8,7,5,6]=>[[1,3,4,5,8],[2,6],[7]]=>11
[5,4,1,2,3,7,8,6]=>[[1,4,5,6,7],[2,8],[3]]=>9
[1,6,7,2,5,8,3,4]=>[[1,2,3,6],[4,5,8],[7]]=>9
[7,8,5,6,2,4,3,1]=>[[1,2],[3,4],[5,6],[7],[8]]=>13
[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]]=>16
[2,7,4,8,3,1,5,6]=>[[1,2,4,8],[3,7],[5],[6]]=>15
[8,2,1,3,7,4,6,5]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[6,5,8,2,3,4,7,1]=>[[1,3,6,7],[2,5],[4],[8]]=>20
[7,8,2,3,6,4,5,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[8,1,2,7,5,3,4,6]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[4,2,8,1,3,7,5,6]=>[[1,3,6,8],[2,5],[4,7]]=>20
[7,5,1,8,2,3,4,6]=>[[1,4,6,7,8],[2,5],[3]]=>12
[8,2,4,1,3,7,5,6]=>[[1,3,6,8],[2,5,7],[4]]=>19
[8,1,6,2,3,7,4,5]=>[[1,3,5,6,8],[2,7],[4]]=>15
[7,1,8,2,3,6,4,5]=>[[1,3,5,6,8],[2,4],[7]]=>15
[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]]=>12
[3,5,7,4,2,8,1,6]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[2,4,7,6,3,8,1,5]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[4,6,8,5,1,2,3,7]=>[[1,2,3,8],[4,6,7],[5]]=>9
[4,6,5,7,1,2,3,8]=>[[1,2,4,8],[3,6,7],[5]]=>14
[4,6,5,7,1,3,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[3,4,7,6,1,8,2,5]=>[[1,2,3,6],[4,7,8],[5]]=>8
[8,5,2,1,6,3,4,7]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[7,1,8,5,3,2,4,6]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[8,2,7,5,4,1,6,3]=>[[1,3,7],[2,8],[4],[5],[6]]=>19
[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]]=>20
[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]]=>20
[6,4,8,1,5,2,3,7]=>[[1,3,7,8],[2,5],[4,6]]=>18
[7,2,4,1,6,3,5,8]=>[[1,3,5,8],[2,6,7],[4]]=>16
[2,6,1,5,3,4,8,7]=>[[1,2,6,7],[3,4,8],[5]]=>8
[3,8,7,5,4,2,6,1]=>[[1,2,7],[3],[4],[5],[6],[8]]=>17
[5,7,8,2,3,6,4,1]=>[[1,2,3],[4,5,6],[7],[8]]=>8
[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]]=>8
[3,8,6,7,5,4,2,1]=>[[1,2,4],[3],[5],[6],[7],[8]]=>20
[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]]=>21
[8,4,7,6,3,1,2,5]=>[[1,3,8],[2,7],[4],[5],[6]]=>20
[4,6,7,1,3,2,8,5]=>[[1,2,3,7],[4,5,8],[6]]=>7
[6,4,7,5,3,2,8,1]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[8,4,6,3,1,5,7,2]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[7,3,1,4,5,6,8,2]=>[[1,4,5,6,7],[2,8],[3]]=>9
[6,7,3,4,2,1,8,5]=>[[1,2,7],[3,4,8],[5],[6]]=>10
[6,4,8,3,1,5,7,2]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[7,4,2,3,5,1,8,6]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[3,1,6,5,2,4,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>14
[2,5,3,8,6,4,1,7]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[5,8,4,1,3,2,7,6]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[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]]=>11
[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]]=>12
[3,6,2,8,5,7,1,4]=>[[1,2,4],[3,5,6],[7,8]]=>12
[4,6,8,1,5,7,2,3]=>[[1,2,3],[4,5,6],[7,8]]=>7
[4,1,2,5,7,6,3,8]=>[[1,3,4,5,8],[2,6],[7]]=>11
[4,6,5,8,1,7,3,2]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[2,1,3,6,4,8,7,5]=>[[1,3,4,6],[2,5,7],[8]]=>14
[4,8,1,2,7,5,6,3]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[1,6,4,3,8,7,5,2]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[4,5,1,6,8,7,2,3]=>[[1,2,4,5],[3,6,8],[7]]=>11
[2,5,1,8,6,4,7,3]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[2,5,8,7,3,1,4,6]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[3,8,7,2,6,1,4,5]=>[[1,2,8],[3,5],[4,7],[6]]=>16
[8,4,5,1,6,7,2,3]=>[[1,3,5,6],[2,7,8],[4]]=>15
[8,4,7,3,1,5,2,6]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[2,5,1,8,3,6,4,7]=>[[1,2,4,8],[3,5,6],[7]]=>11
[5,8,4,7,3,2,1,6]=>[[1,2],[3,4],[5,8],[6],[7]]=>14
[4,3,8,6,1,2,5,7]=>[[1,3,7,8],[2,4],[5,6]]=>14
[4,8,6,5,7,1,3,2]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[7,2,3,5,6,8,4,1]=>[[1,3,4,5,6],[2],[7],[8]]=>12
[5,8,1,3,4,7,2,6]=>[[1,2,5,6],[3,4],[7,8]]=>10
[8,3,4,2,7,6,1,5]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[8,7,5,6,4,1,3,2]=>[[1,4],[2,7],[3],[5],[6],[8]]=>23
[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]]=>16
[7,2,4,5,3,1,6,8]=>[[1,3,4,7,8],[2],[5],[6]]=>14
[7,6,3,1,4,5,8,2]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[5,4,1,7,8,6,2,3]=>[[1,4,5],[2,6,8],[3,7]]=>13
[5,3,4,7,8,1,6,2]=>[[1,3,4,5],[2,7],[6,8]]=>14
[4,3,7,6,5,1,8,2]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[5,1,4,8,2,3,7,6]=>[[1,3,4,7],[2,6],[5,8]]=>17
[3,2,8,5,4,1,6,7]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[1,2,8,3,4,6,5,7]=>[[1,2,3,5,6,8],[4],[7]]=>8
[8,1,2,7,3,5,4,6]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[5,7,1,2,6,3,4,8]=>[[1,2,5,7,8],[3,4],[6]]=>10
[1,2,7,5,6,3,4,8]=>[[1,2,3,5,8],[4,7],[6]]=>11
[5,1,4,7,2,3,6,8]=>[[1,3,4,7,8],[2,6],[5]]=>15
[4,8,1,2,3,6,5,7]=>[[1,2,5,6,8],[3,4],[7]]=>9
[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]]=>16
[7,2,3,6,4,8,1,5]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[5,4,1,6,2,7,8,3]=>[[1,4,6,7],[2,5,8],[3]]=>13
[7,1,3,5,4,2,8,6]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[7,6,8,2,4,5,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[4,2,8,6,5,1,3,7]=>[[1,3,8],[2,4],[5,7],[6]]=>18
[3,8,5,4,7,1,2,6]=>[[1,2,5],[3,7,8],[4],[6]]=>14
[1,4,8,3,6,2,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>8
[6,3,2,4,8,7,1,5]=>[[1,4,5],[2,6],[3,8],[7]]=>15
[8,3,2,7,4,1,5,6]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[7,3,2,6,5,8,1,4]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[3,6,2,5,7,4,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[2,7,1,5,8,6,4,3]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[7,2,4,1,6,8,5,3]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[6,4,7,2,3,8,5,1]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[6,1,8,5,7,4,2,3]=>[[1,3,5],[2,4],[6,8],[7]]=>20
[7,1,4,3,6,5,8,2]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[7,1,5,6,3,4,8,2]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[6,1,8,5,4,7,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[7,6,1,5,4,2,8,3]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[5,1,6,8,7,2,4,3]=>[[1,3,4],[2,5,7],[6],[8]]=>16
[4,6,7,5,3,1,8,2]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[5,3,2,6,8,7,4,1]=>[[1,4,5],[2,6],[3,7],[8]]=>14
[5,4,6,2,8,7,3,1]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[4,5,8,6,7,2,3,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[4,5,7,6,1,2,8,3]=>[[1,2,3,7],[4,6,8],[5]]=>10
[4,6,5,7,2,1,8,3]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[7,4,8,6,3,5,1,2]=>[[1,3],[2,4],[5,6],[7,8]]=>18
[7,2,4,3,6,1,8,5]=>[[1,3,5,7],[2,8],[4],[6]]=>19
[2,3,4,7,8,6,1,5]=>[[1,2,3,4,5],[6,8],[7]]=>5
[6,3,7,1,4,2,8,5]=>[[1,3,7],[2,5,8],[4,6]]=>19
[4,6,3,5,1,8,2,7]=>[[1,2,6],[3,4,8],[5,7]]=>11
[8,5,7,6,2,3,4,1]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[3,4,6,7,8,2,5,1]=>[[1,2,3,4,5],[6,7],[8]]=>4
[2,5,6,7,3,8,1,4]=>[[1,2,3,4,6],[5,8],[7]]=>8
[5,8,4,6,2,1,7,3]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[1,6,8,3,4,2,7,5]=>[[1,2,3,7],[4,5],[6,8]]=>8
[4,1,7,6,2,8,3,5]=>[[1,3,6,8],[2,4,7],[5]]=>15
[4,1,8,2,7,5,3,6]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[4,1,7,2,8,5,3,6]=>[[1,3,5,8],[2,4,6],[7]]=>16
[2,5,6,3,7,4,8,1]=>[[1,2,3,5,7],[4,6],[8]]=>10
[2,6,5,3,8,4,7,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[2,6,5,3,7,4,8,1]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[7,1,6,3,5,4,8,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[5,7,3,2,8,4,1,6]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[2,8,6,1,7,5,3,4]=>[[1,2,5],[3,6,8],[4],[7]]=>13
[8,1,5,2,7,4,3,6]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[7,1,4,2,8,5,3,6]=>[[1,3,5,8],[2,6],[4,7]]=>17
[2,6,8,1,7,5,3,4]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[1,4,6,5,3,8,2,7]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[2,4,5,8,7,1,3,6]=>[[1,2,3,4],[5,7,8],[6]]=>7
[3,1,6,8,7,5,4,2]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[3,1,8,7,5,6,4,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[5,1,8,7,6,3,4,2]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[8,2,7,5,3,6,4,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[8,7,2,3,1,5,6,4]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[2,8,5,7,6,1,3,4]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[1,8,7,2,6,4,5,3]=>[[1,2,5,7],[3],[4],[6],[8]]=>16
[8,7,2,1,6,4,5,3]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[1,8,4,7,6,2,5,3]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[8,7,1,6,4,3,5,2]=>[[1,4,7],[2],[3],[5],[6],[8]]=>22
[8,4,1,7,3,6,5,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[4,5,1,8,7,3,6,2]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[3,8,5,2,6,7,4,1]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[3,6,4,7,5,2,1,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[5,7,4,1,2,6,8,3]=>[[1,2,6,7],[3,5],[4,8]]=>13
[2,8,6,7,5,3,1,4]=>[[1,2,4],[3,8],[5],[6],[7]]=>17
[7,4,5,2,6,3,1,8]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[8,6,3,4,5,1,7,2]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[8,6,3,5,4,1,7,2]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[8,7,4,5,1,3,6,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[8,6,2,5,3,1,4,7]=>[[1,4,7,8],[2],[3],[5],[6]]=>17
[8,4,7,3,1,2,5,6]=>[[1,3,7,8],[2,6],[4],[5]]=>18
[8,7,3,5,1,6,4,2]=>[[1,4,6],[2,7],[3],[5],[8]]=>19
[4,8,3,2,6,1,7,5]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[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]]=>17
[4,6,8,5,3,1,2,7]=>[[1,2,3],[4,7,8],[5],[6]]=>10
[5,6,8,4,3,7,2,1]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[7,5,8,4,2,1,6,3]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[1,4,8,7,6,2,5,3]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[7,2,4,1,5,3,8,6]=>[[1,3,5,7],[2,6,8],[4]]=>17
[8,5,3,4,1,7,2,6]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[2,8,5,4,3,6,1,7]=>[[1,2,6,8],[3],[4],[5],[7]]=>14
[8,6,5,3,1,2,7,4]=>[[1,6,7],[2,8],[3],[4],[5]]=>14
[7,4,6,5,3,2,8,1]=>[[1,3,7],[2],[4],[5],[6],[8]]=>23
[5,6,7,2,3,8,4,1]=>[[1,2,3,6],[4,5,7],[8]]=>8
[8,4,2,6,5,7,3,1]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[1,7,4,2,8,5,6,3]=>[[1,2,5,7],[3,6],[4,8]]=>12
[3,2,1,7,4,6,8,5]=>[[1,4,6,7],[2,5],[3,8]]=>14
[6,2,5,7,1,4,3,8]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[4,8,5,3,1,2,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[8,5,2,4,6,1,3,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[1,5,3,4,7,2,6,8]=>[[1,2,4,5,8],[3,7],[6]]=>12
[8,4,6,1,5,7,3,2]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[6,4,7,2,1,3,8,5]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[6,7,3,1,2,4,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>12
[3,1,8,7,6,2,5,4]=>[[1,3,7],[2,4],[5],[6],[8]]=>19
[1,3,8,6,7,2,5,4]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[5,2,3,6,1,8,4,7]=>[[1,3,4,6],[2,7,8],[5]]=>14
[3,2,6,4,7,1,5,8]=>[[1,3,5,8],[2,4,7],[6]]=>18
[3,6,2,5,7,8,4,1]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[2,7,4,6,8,3,5,1]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[3,7,6,8,1,5,4,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[1,5,7,6,8,4,2,3]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[2,7,4,6,8,5,3,1]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[3,7,6,8,5,1,4,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[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]]=>14
[8,1,5,2,6,4,7,3]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[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]]=>20
[4,1,8,2,7,5,6,3]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[7,6,8,2,4,3,5,1]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[7,4,5,3,8,1,6,2]=>[[1,3,5],[2,7],[4,8],[6]]=>21
[7,3,6,1,4,2,8,5]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[8,7,2,6,4,5,1,3]=>[[1,4,6],[2,8],[3],[5],[7]]=>20
[7,1,4,6,8,5,3,2]=>[[1,3,4,5],[2],[6],[7],[8]]=>16
[7,2,5,1,6,4,8,3]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[2,7,1,5,6,4,8,3]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[1,5,7,8,4,6,3,2]=>[[1,2,3,4],[5,6],[7],[8]]=>7
[1,4,8,5,7,6,3,2]=>[[1,2,3,5],[4],[6],[7],[8]]=>14
[2,8,1,5,6,4,7,3]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[3,7,2,8,1,5,6,4]=>[[1,2,4],[3,6,7],[5,8]]=>15
[7,3,2,5,1,6,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[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]]=>19
[3,6,2,1,8,4,7,5]=>[[1,2,5],[3,6,7],[4,8]]=>11
[3,5,1,7,6,4,8,2]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[8,7,4,2,1,6,5,3]=>[[1,6],[2,7],[3,8],[4],[5]]=>16
[5,4,7,6,2,1,8,3]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[3,5,2,8,7,1,6,4]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[3,7,6,5,4,1,8,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[4,6,5,3,1,8,7,2]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[4,5,2,6,7,3,8,1]=>[[1,2,4,5,7],[3,6],[8]]=>11
[8,6,7,4,3,1,5,2]=>[[1,3],[2,7],[4,8],[5],[6]]=>21
[4,7,1,8,5,3,2,6]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[8,6,7,1,4,3,5,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[8,6,7,2,1,3,5,4]=>[[1,3,7],[2,6],[4,8],[5]]=>20
[8,5,6,1,7,4,2,3]=>[[1,3,5],[2,6,8],[4],[7]]=>19
[6,4,1,2,5,7,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>9
[6,1,5,4,2,7,3,8]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[6,4,2,3,1,7,5,8]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[3,4,6,1,8,2,7,5]=>[[1,2,3,5],[4,6,7],[8]]=>9
[5,3,1,4,7,6,2,8]=>[[1,4,5,8],[2,6],[3,7]]=>12
[6,4,5,2,7,1,3,8]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[7,4,3,5,1,6,2,8]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[7,5,3,6,2,1,4,8]=>[[1,4,8],[2,7],[3],[5],[6]]=>19
[6,4,3,7,1,8,2,5]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[3,1,2,7,6,4,5,8]=>[[1,3,4,7,8],[2,5],[6]]=>12
[5,1,2,7,6,3,4,8]=>[[1,3,4,7,8],[2,5],[6]]=>12
[5,6,1,7,2,4,3,8]=>[[1,2,4,8],[3,5,6],[7]]=>11
[3,5,6,8,1,2,7,4]=>[[1,2,3,4],[5,6,7],[8]]=>5
[2,6,5,7,1,3,4,8]=>[[1,2,4,8],[3,6,7],[5]]=>14
[2,3,7,1,5,6,4,8]=>[[1,2,3,6,8],[4,5],[7]]=>8
[2,6,5,3,4,1,7,8]=>[[1,2,5,7,8],[3],[4],[6]]=>12
[2,6,1,3,5,4,7,8]=>[[1,2,5,7,8],[3,4],[6]]=>10
[4,6,1,5,2,8,7,3]=>[[1,2,6],[3,4,7],[5,8]]=>10
[6,1,5,4,2,7,8,3]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[4,6,1,5,2,7,8,3]=>[[1,2,6,7],[3,4,8],[5]]=>8
[2,8,6,5,1,3,7,4]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[5,1,8,6,2,7,4,3]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[3,6,8,2,7,5,1,4]=>[[1,2,3],[4,5],[6,8],[7]]=>10
[5,6,4,1,7,2,8,3]=>[[1,2,5,7],[3,6,8],[4]]=>11
[3,8,6,1,5,7,4,2]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[8,1,6,3,4,2,5,7]=>[[1,3,5,7,8],[2],[4],[6]]=>18
[7,4,2,3,1,6,8,5]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[1,6,4,5,7,3,2,8]=>[[1,2,4,5,8],[3],[6],[7]]=>12
[1,6,4,5,7,2,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>11
[1,7,5,6,4,8,3,2]=>[[1,2,4,6],[3],[5],[7],[8]]=>18
[1,5,6,7,3,2,4,8]=>[[1,2,3,4,8],[5,7],[6]]=>7
[8,2,4,3,1,7,5,6]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[8,2,1,4,3,7,5,6]=>[[1,4,6,8],[2,5,7],[3]]=>14
[7,6,8,2,1,5,3,4]=>[[1,3,8],[2,6],[4,7],[5]]=>19
[8,6,2,5,1,3,7,4]=>[[1,4,7],[2,6,8],[3],[5]]=>18
[5,7,2,6,4,1,8,3]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[4,5,6,1,3,8,2,7]=>[[1,2,3,6],[4,5,8],[7]]=>9
[6,3,5,7,4,2,8,1]=>[[1,3,4,7],[2],[5],[6],[8]]=>18
[7,6,4,8,5,3,1,2]=>[[1,4],[2,5],[3,8],[6],[7]]=>19
[8,2,1,6,4,7,3,5]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[1,3,8,6,5,2,7,4]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[2,7,3,8,5,6,4,1]=>[[1,2,4,6],[3,5],[7],[8]]=>15
[1,2,8,5,7,4,6,3]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[1,6,8,5,4,7,2,3]=>[[1,2,3],[4,6],[5,8],[7]]=>13
[5,7,1,8,3,2,6,4]=>[[1,2,4],[3,5,7],[6,8]]=>14
[8,2,5,4,3,7,1,6]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[5,8,4,3,7,6,2,1]=>[[1,2],[3,5],[4,6],[7],[8]]=>17
[8,1,5,3,4,7,2,6]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[6,1,8,7,4,5,3,2]=>[[1,3,6],[2,4],[5],[7],[8]]=>20
[1,5,8,6,4,3,7,2]=>[[1,2,3,7],[4],[5],[6],[8]]=>12
[5,8,6,4,2,1,7,3]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[2,6,1,8,4,7,5,3]=>[[1,2,4],[3,5,6],[7],[8]]=>13
[5,3,8,6,1,2,7,4]=>[[1,3,7],[2,4,8],[5,6]]=>15
[5,8,1,4,6,2,7,3]=>[[1,2,5,7],[3,4],[6,8]]=>12
[3,7,6,2,1,4,8,5]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[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]]=>16
[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]]=>14
[7,8,6,4,2,5,3,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[6,4,5,8,7,1,3,2]=>[[1,3,4],[2,5],[6,7],[8]]=>15
[6,4,1,7,8,3,2,5]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[6,4,3,8,7,2,5,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[5,4,7,2,1,3,8,6]=>[[1,3,7],[2,6,8],[4],[5]]=>19
[2,6,4,5,7,1,8,3]=>[[1,2,4,5,7],[3,8],[6]]=>11
[3,7,4,6,1,5,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[3,4,6,5,2,8,1,7]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[4,6,7,5,8,2,1,3]=>[[1,2,3,5],[4,8],[6],[7]]=>12
[2,5,7,6,4,1,8,3]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[5,1,4,6,2,7,8,3]=>[[1,3,4,6,7],[2,8],[5]]=>13
[1,2,5,3,7,8,6,4]=>[[1,2,3,5,6],[4,7],[8]]=>8
[4,8,3,5,1,2,7,6]=>[[1,2,7],[3,4,8],[5,6]]=>9
[6,1,3,7,2,8,4,5]=>[[1,3,4,6],[2,7,8],[5]]=>14
[3,8,5,4,1,7,2,6]=>[[1,2,6],[3,7,8],[4],[5]]=>11
[3,1,5,8,2,6,7,4]=>[[1,3,4,7],[2,5,6],[8]]=>13
[2,8,5,3,1,7,4,6]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[6,5,2,3,7,1,8,4]=>[[1,4,5,7],[2,8],[3],[6]]=>14
[7,2,1,6,4,8,3,5]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[2,1,3,7,5,8,4,6]=>[[1,3,4,6],[2,5,8],[7]]=>15
[6,2,4,5,7,1,8,3]=>[[1,3,4,5,7],[2,8],[6]]=>12
[2,3,8,7,1,4,6,5]=>[[1,2,3,7],[4,6],[5],[8]]=>12
[4,2,7,5,6,8,1,3]=>[[1,3,5,6],[2,4],[7,8]]=>16
[6,8,2,5,4,7,3,1]=>[[1,2,6],[3,4],[5],[7],[8]]=>14
[5,3,2,7,6,1,8,4]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[5,6,4,2,8,7,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[5,7,4,2,6,1,8,3]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[5,4,7,1,6,2,8,3]=>[[1,3,7],[2,5,8],[4,6]]=>19
[4,5,8,7,6,2,1,3]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[6,4,7,1,2,3,8,5]=>[[1,3,6,7],[2,5,8],[4]]=>18
[1,8,7,2,3,4,6,5]=>[[1,2,5,6,7],[3],[4],[8]]=>10
[1,8,3,7,6,2,5,4]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[1,3,8,2,5,6,4,7]=>[[1,2,3,6,8],[4,5],[7]]=>8
[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]]=>10
[8,2,3,6,7,4,5,1]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[5,6,4,2,1,7,3,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[2,5,7,6,3,8,4,1]=>[[1,2,3,6],[4,7],[5],[8]]=>10
[6,4,7,1,2,5,3,8]=>[[1,3,6,8],[2,5],[4,7]]=>20
[1,2,7,5,8,6,3,4]=>[[1,2,3,5],[4,6],[7,8]]=>10
[7,4,5,1,6,8,2,3]=>[[1,3,5,6],[2,7,8],[4]]=>15
[1,7,8,4,2,6,3,5]=>[[1,2,3,8],[4,6],[5,7]]=>10
[6,3,2,5,7,4,1,8]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[6,2,1,5,3,7,8,4]=>[[1,4,6,7],[2,5,8],[3]]=>13
[6,2,5,1,3,8,7,4]=>[[1,3,6],[2,5,7],[4,8]]=>20
[6,2,8,5,1,3,7,4]=>[[1,3,7],[2,4,8],[5,6]]=>15
[4,1,7,8,3,6,5,2]=>[[1,3,4],[2,5,6],[7],[8]]=>14
[6,4,2,1,7,3,5,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[5,8,4,2,1,3,6,7]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[1,7,5,8,4,3,6,2]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[5,8,1,6,4,7,2,3]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[2,4,7,5,1,8,6,3]=>[[1,2,3,6],[4,7],[5,8]]=>9
[2,3,7,1,8,5,6,4]=>[[1,2,3,5],[4,6,7],[8]]=>9
[6,5,1,2,7,4,8,3]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[3,6,5,7,8,2,4,1]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[3,6,5,1,8,7,4,2]=>[[1,2,5],[3,6],[4,7],[8]]=>13
[7,8,1,2,5,4,3,6]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[2,8,4,3,5,1,7,6]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[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]]=>14
[4,1,7,6,8,2,5,3]=>[[1,3,5],[2,4,7],[6],[8]]=>20
[7,2,6,4,1,5,3,8]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[1,2,6,5,8,3,7,4]=>[[1,2,3,5],[4,7],[6,8]]=>12
[7,3,5,6,1,4,2,8]=>[[1,3,4,8],[2,6],[5],[7]]=>17
[5,8,3,1,6,7,4,2]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[4,5,8,1,7,3,6,2]=>[[1,2,3],[4,5,7],[6],[8]]=>10
[4,7,1,6,8,5,2,3]=>[[1,2,5],[3,4,8],[6],[7]]=>13
[5,8,7,1,6,4,2,3]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[1,7,3,8,2,5,4,6]=>[[1,2,4,8],[3,6],[5,7]]=>15
[8,4,1,3,6,7,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[5,3,1,8,6,7,4,2]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[6,2,7,1,4,3,5,8]=>[[1,3,7,8],[2,5],[4,6]]=>18
[8,3,2,6,5,1,7,4]=>[[1,4,7],[2,5],[3,8],[6]]=>16
[2,6,8,4,7,1,3,5]=>[[1,2,3],[4,5,8],[6,7]]=>8
[7,8,6,3,2,5,4,1]=>[[1,2],[3,6],[4,7],[5],[8]]=>16
[1,6,4,8,2,3,5,7]=>[[1,2,4,7,8],[3,6],[5]]=>14
[2,8,5,6,4,1,7,3]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[1,4,7,3,5,8,6,2]=>[[1,2,3,6],[4,5,7],[8]]=>8
[3,7,8,2,5,1,6,4]=>[[1,2,3],[4,5,7],[6,8]]=>9
[8,6,1,4,3,2,7,5]=>[[1,4,7],[2,8],[3],[5],[6]]=>18
[7,3,8,2,4,1,5,6]=>[[1,3,7,8],[2,5],[4],[6]]=>19
[6,3,7,8,1,2,5,4]=>[[1,3,4],[2,6,7],[5,8]]=>16
[7,6,1,5,2,3,8,4]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[5,1,8,6,7,2,3,4]=>[[1,3,5,8],[2,4,7],[6]]=>18
[5,7,1,6,8,2,3,4]=>[[1,2,5,8],[3,4,7],[6]]=>12
[6,8,4,2,1,7,3,5]=>[[1,2,8],[3,6],[4,7],[5]]=>13
[6,3,2,8,1,7,4,5]=>[[1,4,8],[2,6],[3,7],[5]]=>18
[6,4,1,3,7,8,5,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[6,8,5,4,3,7,1,2]=>[[1,2],[3,6],[4,8],[5],[7]]=>17
[5,7,4,8,3,1,2,6]=>[[1,2,4],[3,7,8],[5],[6]]=>15
[6,1,2,4,8,3,7,5]=>[[1,3,4,5],[2,7],[6,8]]=>14
[2,5,6,8,1,4,7,3]=>[[1,2,3,4],[5,6,7],[8]]=>5
[7,4,1,6,5,2,3,8]=>[[1,4,7,8],[2,5],[3],[6]]=>14
[4,1,6,5,2,3,8,7]=>[[1,3,6,7],[2,4,8],[5]]=>14
[4,5,1,7,8,6,2,3]=>[[1,2,4,5],[3,6,8],[7]]=>11
[8,5,7,3,4,6,2,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[6,8,7,4,3,5,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>19
[6,8,7,5,3,4,2,1]=>[[1,2],[3,6],[4],[5],[7],[8]]=>19
[5,8,6,2,4,7,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[4,8,6,2,5,7,3,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[1,6,4,7,5,3,2,8]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[1,6,5,3,2,7,4,8]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[1,6,8,7,4,5,3,2]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[1,4,7,5,3,2,6,8]=>[[1,2,3,7,8],[4],[5],[6]]=>8
[1,7,5,4,3,2,8,6]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[1,4,7,5,3,2,8,6]=>[[1,2,3,7],[4,8],[5],[6]]=>9
[1,7,4,6,8,5,3,2]=>[[1,2,4,5],[3],[6],[7],[8]]=>15
[6,8,7,2,3,5,4,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[5,7,6,1,8,2,4,3]=>[[1,2,5],[3,6,7],[4],[8]]=>12
[4,8,6,5,7,2,3,1]=>[[1,2,5],[3,7],[4],[6],[8]]=>17
[2,7,8,5,1,4,3,6]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[8,5,6,2,4,7,3,1]=>[[1,3,6],[2,5],[4],[7],[8]]=>24
[8,1,3,6,4,5,2,7]=>[[1,3,4,6,8],[2],[5],[7]]=>16
[4,3,1,6,2,5,8,7]=>[[1,4,6,7],[2,5,8],[3]]=>13
[7,5,2,1,8,4,3,6]=>[[1,5,8],[2,6],[3,7],[4]]=>14
[5,3,1,4,7,8,2,6]=>[[1,4,5,6],[2,7,8],[3]]=>10
[7,1,2,4,8,3,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>13
[8,6,1,3,5,7,4,2]=>[[1,4,5,6],[2],[3],[7],[8]]=>15
[7,1,5,8,2,3,4,6]=>[[1,3,4,7,8],[2,6],[5]]=>15
[3,6,8,5,1,4,2,7]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[5,2,4,1,6,8,3,7]=>[[1,3,5,6],[2,7,8],[4]]=>15
[2,5,3,4,6,8,1,7]=>[[1,2,4,5,6],[3,8],[7]]=>10
[4,7,1,2,5,6,3,8]=>[[1,2,5,6,8],[3,4],[7]]=>9
[6,7,3,1,8,2,4,5]=>[[1,2,5,8],[3,6,7],[4]]=>10
[7,3,1,4,6,2,8,5]=>[[1,4,5,7],[2,6,8],[3]]=>12
[7,4,1,2,5,6,3,8]=>[[1,4,5,6,8],[2,7],[3]]=>10
[5,4,1,3,6,8,7,2]=>[[1,4,5,6],[2,7],[3],[8]]=>12
[5,7,4,8,1,6,3,2]=>[[1,2,4],[3,6],[5,7],[8]]=>17
[4,3,1,2,5,7,6,8]=>[[1,4,5,6,8],[2,7],[3]]=>10
[1,2,4,7,8,5,6,3]=>[[1,2,3,4,5],[6,7],[8]]=>4
[8,3,6,5,7,4,2,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>25
[8,2,6,5,7,4,3,1]=>[[1,3,5],[2],[4],[6],[7],[8]]=>25
[8,4,7,1,5,2,6,3]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[8,2,6,3,7,5,4,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[8,2,5,3,7,6,4,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[8,5,7,1,4,3,6,2]=>[[1,3,7],[2,5],[4],[6],[8]]=>23
[5,3,1,8,4,2,6,7]=>[[1,4,7,8],[2,5],[3,6]]=>13
[2,1,6,5,8,7,3,4]=>[[1,3,5],[2,4,6],[7,8]]=>17
[6,1,5,4,7,3,8,2]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[3,1,8,4,2,7,6,5]=>[[1,3,6],[2,4,7],[5],[8]]=>17
[2,8,7,4,1,3,6,5]=>[[1,2,7],[3,6,8],[4],[5]]=>13
[8,2,3,1,7,6,4,5]=>[[1,3,5,8],[2,6],[4],[7]]=>18
[8,7,2,3,1,6,4,5]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[7,2,5,8,3,1,4,6]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[6,8,2,3,1,7,4,5]=>[[1,2,6,8],[3,4],[5,7]]=>10
[8,2,5,7,3,1,4,6]=>[[1,3,4,8],[2,7],[5],[6]]=>16
[8,2,7,3,1,4,5,6]=>[[1,3,6,7,8],[2],[4],[5]]=>15
[5,3,2,8,7,1,6,4]=>[[1,4],[2,5],[3,7],[6,8]]=>19
[8,6,7,4,1,3,5,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[4,1,3,6,5,2,8,7]=>[[1,3,4,7],[2,5,8],[6]]=>13
[4,6,3,2,5,1,8,7]=>[[1,2,7],[3,5,8],[4],[6]]=>14
[4,8,3,2,6,5,7,1]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[4,8,3,6,5,2,7,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[8,1,6,2,5,4,7,3]=>[[1,3,5,7],[2],[4],[6],[8]]=>22
[2,4,3,8,6,1,7,5]=>[[1,2,4,7],[3,5],[6,8]]=>13
[2,6,3,8,5,4,7,1]=>[[1,2,4,7],[3,5],[6],[8]]=>14
[6,1,3,2,5,8,7,4]=>[[1,3,5,6],[2,7],[4,8]]=>16
[6,8,4,2,5,3,7,1]=>[[1,2,7],[3,5],[4,6],[8]]=>15
[6,8,4,3,5,2,7,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[8,1,4,6,5,3,7,2]=>[[1,3,4,7],[2],[5],[6],[8]]=>18
[3,5,4,6,1,2,8,7]=>[[1,2,4,7],[3,6,8],[5]]=>15
[7,3,5,6,1,8,2,4]=>[[1,3,4,6],[2,7,8],[5]]=>14
[5,7,6,3,4,2,8,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[4,6,7,2,3,5,8,1]=>[[1,2,3,7],[4,5,6],[8]]=>7
[6,5,4,8,7,2,3,1]=>[[1,4],[2,5],[3,7],[6],[8]]=>20
[5,7,4,3,6,2,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[1,8,5,6,2,3,7,4]=>[[1,2,4,7],[3,6,8],[5]]=>15
[8,5,6,1,3,2,7,4]=>[[1,3,7],[2,5,8],[4],[6]]=>20
[5,3,7,8,2,6,1,4]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[4,5,8,3,6,1,7,2]=>[[1,2,3,7],[4,5],[6,8]]=>8
[4,5,8,7,2,3,1,6]=>[[1,2,3],[4,6,8],[5],[7]]=>12
[8,2,6,4,3,7,5,1]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[6,3,1,8,7,4,5,2]=>[[1,4,7],[2,5],[3,6],[8]]=>16
[8,6,3,2,7,4,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[1,3,6,8,7,4,5,2]=>[[1,2,3,4],[5,7],[6],[8]]=>9
[5,7,1,3,6,2,4,8]=>[[1,2,5,8],[3,4],[6,7]]=>11
[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]]=>11
[4,7,1,3,2,5,8,6]=>[[1,2,6,7],[3,4,8],[5]]=>8
[4,7,1,3,2,6,8,5]=>[[1,2,6,7],[3,4],[5,8]]=>9
[5,7,1,3,6,2,8,4]=>[[1,2,5,7],[3,4],[6,8]]=>12
[6,8,2,5,7,3,1,4]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[4,8,5,2,3,6,1,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[5,8,6,3,4,7,2,1]=>[[1,2,6],[3,5],[4],[7],[8]]=>18
[3,7,5,4,2,8,1,6]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[4,6,5,1,7,8,2,3]=>[[1,2,5,6],[3,7,8],[4]]=>9
[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]]=>10
[5,8,7,3,4,2,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[8,5,2,3,7,4,6,1]=>[[1,4,5,7],[2,6],[3],[8]]=>14
[6,3,1,5,4,8,2,7]=>[[1,4,6],[2,5,8],[3],[7]]=>17
[4,7,6,3,5,2,8,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[1,7,5,3,4,8,6,2]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[5,8,2,3,4,7,6,1]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[8,7,3,2,6,4,5,1]=>[[1,5,7],[2,6],[3],[4],[8]]=>17
[8,3,1,4,7,5,2,6]=>[[1,4,5,8],[2,6],[3],[7]]=>13
[5,3,1,6,4,8,7,2]=>[[1,4,6],[2,5,7],[3,8]]=>15
[3,4,8,5,7,2,6,1]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[8,5,1,2,7,6,4,3]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[3,7,8,5,6,2,4,1]=>[[1,2,3],[4,5],[6,7],[8]]=>9
[7,4,3,6,2,5,8,1]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[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]]=>14
[8,2,3,1,6,5,7,4]=>[[1,3,5,7],[2,6],[4],[8]]=>19
[8,4,2,7,1,3,6,5]=>[[1,4,7],[2,6],[3,8],[5]]=>19
[8,4,2,3,1,6,7,5]=>[[1,4,6,7],[2,8],[3],[5]]=>15
[4,7,2,3,6,5,8,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[3,8,2,6,4,7,1,5]=>[[1,2,6],[3,4,8],[5],[7]]=>12
[1,7,5,8,6,2,4,3]=>[[1,2,4],[3,5],[6,7],[8]]=>14
[6,5,1,7,4,8,3,2]=>[[1,4,6],[2,5],[3],[7],[8]]=>19
[7,6,3,5,1,4,8,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[6,5,4,1,7,2,3,8]=>[[1,5,7,8],[2,6],[3],[4]]=>13
[8,3,6,1,7,4,5,2]=>[[1,3,5],[2,6,7],[4],[8]]=>18
[7,1,2,6,4,8,3,5]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[3,5,1,8,6,2,4,7]=>[[1,2,4,8],[3,5,7],[6]]=>13
[1,8,7,5,4,6,2,3]=>[[1,2,6],[3,8],[4],[5],[7]]=>15
[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]]=>21
[6,4,8,1,5,3,7,2]=>[[1,3,7],[2,5],[4,6],[8]]=>21
[1,6,4,3,5,8,2,7]=>[[1,2,5,6],[3,8],[4],[7]]=>12
[5,1,4,3,7,8,6,2]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[5,7,1,8,6,3,2,4]=>[[1,2,4],[3,5,8],[6],[7]]=>14
[5,7,6,3,4,2,1,8]=>[[1,2,8],[3,5],[4],[6],[7]]=>16
[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]]=>18
[5,8,3,6,7,2,4,1]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[8,1,6,2,5,7,4,3]=>[[1,3,5,6],[2],[4],[7],[8]]=>20
[2,7,1,5,3,6,8,4]=>[[1,2,6,7],[3,4,8],[5]]=>8
[6,8,7,3,4,2,5,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[1,8,6,2,4,7,5,3]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[5,7,3,6,4,2,1,8]=>[[1,2,8],[3,4],[5],[6],[7]]=>12
[5,7,3,6,4,1,8,2]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[3,7,5,6,4,1,8,2]=>[[1,2,4,7],[3,8],[5],[6]]=>14
[2,8,5,7,3,4,6,1]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[2,1,3,8,5,4,6,7]=>[[1,3,4,7,8],[2,5],[6]]=>12
[5,3,6,8,2,4,1,7]=>[[1,3,4],[2,6,8],[5],[7]]=>18
[1,7,8,6,3,2,4,5]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[7,1,2,5,3,8,4,6]=>[[1,3,4,6,8],[2,7],[5]]=>14
[3,7,4,2,5,1,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[1,8,3,4,5,7,2,6]=>[[1,2,4,5,6],[3,8],[7]]=>10
[4,5,7,6,2,1,3,8]=>[[1,2,3,8],[4,7],[5],[6]]=>10
[7,8,2,6,5,4,3,1]=>[[1,2],[3,4],[5],[6],[7],[8]]=>16
[5,3,7,8,4,2,1,6]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[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]]=>23
[6,5,8,2,3,4,1,7]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[8,1,5,3,4,6,2,7]=>[[1,3,5,6,8],[2],[4],[7]]=>17
[5,8,7,2,4,3,6,1]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[1,7,2,4,8,5,6,3]=>[[1,2,4,5,7],[3,6],[8]]=>11
[5,8,2,3,7,4,6,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[7,8,2,3,5,4,6,1]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[8,4,1,3,2,6,5,7]=>[[1,4,6,8],[2,7],[3],[5]]=>16
[8,7,2,3,5,4,6,1]=>[[1,4,5,7],[2],[3],[6],[8]]=>17
[1,7,6,8,4,5,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[2,7,3,1,8,5,6,4]=>[[1,2,5,7],[3,6],[4,8]]=>12
[3,8,5,2,1,6,7,4]=>[[1,2,6,7],[3,8],[4],[5]]=>10
[4,8,7,1,2,5,3,6]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[8,7,2,6,1,4,3,5]=>[[1,4,8],[2,6],[3],[5],[7]]=>20
[6,1,7,3,8,2,4,5]=>[[1,3,5,8],[2,4,7],[6]]=>18
[7,1,8,6,4,2,3,5]=>[[1,3,7,8],[2,4],[5],[6]]=>15
[4,1,3,5,8,2,6,7]=>[[1,3,4,5,8],[2,7],[6]]=>13
[1,8,5,7,4,6,3,2]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[1,4,7,6,8,3,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[1,7,2,8,6,5,3,4]=>[[1,2,4,8],[3,5],[6],[7]]=>13
[5,7,1,6,4,2,3,8]=>[[1,2,7,8],[3,4],[5],[6]]=>9
[4,8,2,7,5,1,6,3]=>[[1,2,7],[3,4],[5,8],[6]]=>11
[2,8,4,6,7,1,5,3]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[3,8,5,1,4,2,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[1,7,6,2,5,3,8,4]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[1,7,5,2,4,3,8,6]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[2,8,5,1,4,3,6,7]=>[[1,2,7,8],[3,5],[4],[6]]=>13
[3,1,2,5,7,6,8,4]=>[[1,3,4,5,7],[2,6],[8]]=>12
[5,1,7,3,2,6,8,4]=>[[1,3,6,7],[2,4],[5,8]]=>15
[4,7,2,3,5,1,6,8]=>[[1,2,5,7,8],[3,4],[6]]=>10
[4,8,2,3,7,5,1,6]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[8,7,2,4,3,5,6,1]=>[[1,4,6,7],[2],[3],[5],[8]]=>18
[8,6,2,4,3,5,1,7]=>[[1,4,6,8],[2],[3],[5],[7]]=>19
[8,1,2,4,7,3,5,6]=>[[1,3,4,5,8],[2,7],[6]]=>13
[7,6,2,8,4,5,1,3]=>[[1,4,6],[2,5],[3,8],[7]]=>18
[6,8,1,5,7,3,2,4]=>[[1,2,5],[3,4],[6,8],[7]]=>14
[4,1,7,5,6,8,2,3]=>[[1,3,5,6],[2,4,8],[7]]=>16
[3,7,6,2,1,4,5,8]=>[[1,2,7,8],[3,6],[4],[5]]=>12
[1,6,8,7,2,5,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[1,4,8,7,6,3,5,2]=>[[1,2,3],[4,7],[5],[6],[8]]=>13
[4,6,7,5,2,3,1,8]=>[[1,2,3,8],[4,6],[5],[7]]=>11
[6,2,5,3,1,8,7,4]=>[[1,3,6],[2,7],[4,8],[5]]=>18
[6,2,5,3,8,7,1,4]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[6,4,5,3,8,7,1,2]=>[[1,3,5],[2,6],[4,8],[7]]=>20
[1,6,4,5,8,7,3,2]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[8,4,7,5,2,3,1,6]=>[[1,3,8],[2,6],[4],[5],[7]]=>21
[8,2,7,4,5,3,1,6]=>[[1,3,5,8],[2],[4],[6],[7]]=>21
[8,2,4,7,5,3,1,6]=>[[1,3,4,8],[2],[5],[6],[7]]=>17
[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]]=>16
[6,2,8,7,5,3,1,4]=>[[1,3,8],[2,4],[5],[6],[7]]=>18
[4,6,5,3,8,7,1,2]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[6,7,2,4,5,3,1,8]=>[[1,2,5,8],[3,4],[6],[7]]=>12
[6,8,7,4,5,3,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>18
[2,8,4,7,5,3,1,6]=>[[1,2,4,8],[3],[5],[6],[7]]=>16
[5,8,7,4,6,3,1,2]=>[[1,2],[3,5],[4,8],[6],[7]]=>18
[6,5,8,4,7,2,1,3]=>[[1,3],[2,5],[4,8],[6],[7]]=>24
[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]]=>18
[6,8,1,2,4,7,3,5]=>[[1,2,5,6],[3,4],[7,8]]=>10
[8,1,5,3,2,7,4,6]=>[[1,3,6,8],[2,7],[4],[5]]=>17
[8,3,7,6,2,5,4,1]=>[[1,3],[2,6],[4],[5],[7],[8]]=>25
[4,6,1,3,5,8,2,7]=>[[1,2,5,6],[3,4,8],[7]]=>10
[4,5,1,3,8,7,2,6]=>[[1,2,5],[3,4,6],[7,8]]=>11
[6,2,7,1,8,3,4,5]=>[[1,3,5,8],[2,6,7],[4]]=>16
[6,4,5,8,1,7,2,3]=>[[1,3,4],[2,6,8],[5,7]]=>17
[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]]=>8
[7,4,5,8,6,3,2,1]=>[[1,3,4],[2,5],[6],[7],[8]]=>17
[7,4,1,3,6,8,2,5]=>[[1,4,5,6],[2,8],[3],[7]]=>13
[6,8,1,2,7,3,4,5]=>[[1,2,5,7,8],[3,4],[6]]=>10
[1,6,2,8,7,3,4,5]=>[[1,2,4,7,8],[3,5],[6]]=>11
[1,6,8,5,7,4,3,2]=>[[1,2,3],[4,5],[6],[7],[8]]=>11
[3,8,1,2,4,7,6,5]=>[[1,2,5,6],[3,4],[7],[8]]=>11
[1,4,5,7,3,6,8,2]=>[[1,2,3,4,7],[5,6],[8]]=>6
[2,3,8,1,4,6,5,7]=>[[1,2,3,6,8],[4,5],[7]]=>8
[3,6,2,4,7,5,8,1]=>[[1,2,5,7],[3,4,6],[8]]=>11
[3,1,8,4,6,2,5,7]=>[[1,3,5,8],[2,4,7],[6]]=>18
[4,2,7,3,5,8,1,6]=>[[1,3,5,6],[2,4,8],[7]]=>16
[3,1,8,4,5,6,2,7]=>[[1,3,5,6,8],[2,4],[7]]=>15
[4,2,7,8,6,3,1,5]=>[[1,3,4],[2,5,8],[6],[7]]=>15
[7,1,4,2,8,6,3,5]=>[[1,3,5,8],[2,6],[4,7]]=>17
[2,3,7,4,8,1,6,5]=>[[1,2,3,5],[4,7],[6,8]]=>12
[1,6,3,5,8,7,4,2]=>[[1,2,4,5],[3,6],[7],[8]]=>12
[8,4,6,3,5,1,7,2]=>[[1,3,7],[2,5],[4,8],[6]]=>21
[7,3,2,6,8,4,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[2,4,5,7,1,6,8,3]=>[[1,2,3,4,7],[5,6],[8]]=>6
[8,4,2,6,7,3,5,1]=>[[1,4,5],[2,6,7],[3],[8]]=>13
[4,1,5,7,8,6,2,3]=>[[1,3,4,5],[2,6,8],[7]]=>12
[6,1,4,8,2,3,7,5]=>[[1,3,4,7],[2,6],[5,8]]=>17
[7,6,2,3,5,8,4,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>15
[2,8,5,7,6,3,4,1]=>[[1,2,4],[3,7],[5],[6],[8]]=>18
[2,5,7,8,6,4,1,3]=>[[1,2,3,4],[5,8],[6],[7]]=>8
[7,4,1,6,2,5,8,3]=>[[1,4,6,7],[2,5],[3],[8]]=>15
[5,6,2,4,8,7,3,1]=>[[1,2,5],[3,4,6],[7],[8]]=>12
[8,5,6,2,3,7,4,1]=>[[1,3,6],[2,5,7],[4],[8]]=>21
[7,8,1,4,5,6,2,3]=>[[1,2,5,6],[3,4],[7,8]]=>10
[2,6,1,4,7,5,8,3]=>[[1,2,5,7],[3,4,6],[8]]=>11
[3,1,5,7,2,6,8,4]=>[[1,3,4,7],[2,5,6],[8]]=>13
[3,1,7,5,2,6,8,4]=>[[1,3,6,7],[2,4,8],[5]]=>14
[3,2,7,5,1,6,8,4]=>[[1,3,6,7],[2,4],[5,8]]=>15
[5,2,7,3,1,6,8,4]=>[[1,3,6,7],[2,4],[5,8]]=>15
[6,7,2,1,3,4,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>12
[4,6,3,1,2,7,8,5]=>[[1,2,6,7],[3,5,8],[4]]=>12
[2,3,5,6,8,4,7,1]=>[[1,2,3,4,5],[6,7],[8]]=>4
[2,4,5,8,3,6,7,1]=>[[1,2,3,4,7],[5,6],[8]]=>6
[4,5,8,7,6,3,1,2]=>[[1,2,3],[4,8],[5],[6],[7]]=>12
[8,7,4,6,5,3,1,2]=>[[1,4],[2,8],[3],[5],[6],[7]]=>22
[8,1,4,3,6,2,5,7]=>[[1,3,5,8],[2,7],[4],[6]]=>20
[1,6,3,7,8,4,2,5]=>[[1,2,4,5],[3,6,8],[7]]=>11
[7,4,2,8,5,6,3,1]=>[[1,4,6],[2,5],[3,7],[8]]=>17
[5,2,1,3,8,4,6,7]=>[[1,4,5,7,8],[2,6],[3]]=>11
[1,4,3,5,8,2,6,7]=>[[1,2,4,5,8],[3,7],[6]]=>12
[2,1,3,8,6,4,5,7]=>[[1,3,4,7,8],[2,5],[6]]=>12
[1,3,6,4,5,8,2,7]=>[[1,2,3,5,6],[4,8],[7]]=>9
[6,1,4,3,5,8,2,7]=>[[1,3,5,6],[2,8],[4],[7]]=>18
[6,5,1,3,8,2,4,7]=>[[1,4,5,8],[2,7],[3],[6]]=>15
[1,4,3,8,6,2,5,7]=>[[1,2,4,8],[3,5],[6,7]]=>12
[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]]=>22
[6,4,7,8,3,5,1,2]=>[[1,3,4],[2,6],[5,8],[7]]=>19
[3,5,6,7,1,8,4,2]=>[[1,2,3,4,6],[5,7],[8]]=>7
[4,5,8,1,7,3,2,6]=>[[1,2,3],[4,5,8],[6],[7]]=>9
[4,6,7,1,3,8,2,5]=>[[1,2,3,6],[4,5,8],[7]]=>9
[2,6,3,1,4,7,8,5]=>[[1,2,5,6,7],[3,8],[4]]=>8
[2,7,3,4,1,8,5,6]=>[[1,2,4,6,8],[3,7],[5]]=>13
[8,6,4,5,1,3,7,2]=>[[1,4,7],[2,6],[3],[5],[8]]=>21
[7,4,8,5,3,6,1,2]=>[[1,3,6],[2,4],[5,8],[7]]=>19
[8,4,6,5,1,3,7,2]=>[[1,3,7],[2,6],[4],[5],[8]]=>22
[4,5,3,8,7,1,2,6]=>[[1,2,4],[3,5,8],[6,7]]=>13
[8,5,4,7,6,1,2,3]=>[[1,4,8],[2,5],[3,7],[6]]=>17
[2,3,7,8,1,4,6,5]=>[[1,2,3,4],[5,6,7],[8]]=>5
[8,2,3,5,4,1,7,6]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[7,1,3,8,2,4,6,5]=>[[1,3,4,7],[2,6],[5,8]]=>17
[7,2,3,6,4,1,8,5]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[6,5,2,4,1,8,3,7]=>[[1,4,6],[2,7,8],[3],[5]]=>16
[5,7,2,4,1,3,8,6]=>[[1,2,7],[3,4,8],[5,6]]=>9
[6,2,5,4,1,8,3,7]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[4,2,6,3,5,8,1,7]=>[[1,3,5,6],[2,4,8],[7]]=>16
[7,4,2,6,8,5,3,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[8,5,2,4,6,3,1,7]=>[[1,4,5,8],[2],[3],[6],[7]]=>16
[7,4,1,2,8,5,6,3]=>[[1,4,5,7],[2,6],[3,8]]=>13
[6,4,1,8,5,2,3,7]=>[[1,4,7,8],[2,5],[3,6]]=>13
[8,4,1,6,3,5,2,7]=>[[1,4,6,8],[2,5],[3],[7]]=>16
[7,3,4,1,6,8,5,2]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[8,6,2,3,5,7,4,1]=>[[1,4,5,6],[2],[3],[7],[8]]=>15
[8,6,2,5,7,3,4,1]=>[[1,4,5],[2,7],[3],[6],[8]]=>18
[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]]=>14
[7,2,6,8,3,4,5,1]=>[[1,3,4,7],[2,6],[5],[8]]=>18
[1,6,7,5,4,8,2,3]=>[[1,2,3,6],[4,8],[5],[7]]=>11
[1,8,5,4,2,6,3,7]=>[[1,2,6,8],[3,7],[4],[5]]=>11
[5,8,6,1,2,4,3,7]=>[[1,2,6,8],[3,5],[4],[7]]=>15
[4,1,5,7,3,6,8,2]=>[[1,3,4,7],[2,5,6],[8]]=>13
[1,4,5,7,6,8,2,3]=>[[1,2,3,4,6],[5,8],[7]]=>8
[5,7,2,1,6,8,4,3]=>[[1,2,6],[3,5],[4,7],[8]]=>16
[2,6,3,1,7,8,5,4]=>[[1,2,5,6],[3,7],[4,8]]=>10
[6,2,5,7,4,1,8,3]=>[[1,3,4,7],[2,8],[5],[6]]=>15
[3,6,1,8,7,4,5,2]=>[[1,2,4],[3,5,7],[6],[8]]=>15
[4,7,1,3,5,6,8,2]=>[[1,2,5,6,7],[3,4],[8]]=>8
[4,3,5,7,8,2,6,1]=>[[1,3,4,5],[2,7],[6],[8]]=>15
[5,3,2,7,6,4,1,8]=>[[1,4,8],[2,5],[3,6],[7]]=>15
[5,3,7,4,6,2,1,8]=>[[1,3,5,8],[2,4],[6],[7]]=>18
[5,7,3,2,1,8,6,4]=>[[1,2,6],[3,7],[4,8],[5]]=>12
[5,7,6,3,2,1,8,4]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[3,2,7,5,4,1,8,6]=>[[1,3,7],[2,4,8],[5],[6]]=>16
[1,7,3,5,4,2,6,8]=>[[1,2,4,7,8],[3],[5],[6]]=>13
[5,3,7,4,1,8,6,2]=>[[1,3,6],[2,4,7],[5,8]]=>16
[7,3,5,4,1,6,8,2]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[7,5,1,6,8,3,2,4]=>[[1,4,5],[2,6,8],[3],[7]]=>14
[5,3,1,7,6,8,2,4]=>[[1,4,6],[2,5,8],[3,7]]=>16
[7,1,5,3,2,4,8,6]=>[[1,3,6,7],[2,8],[4],[5]]=>16
[7,1,5,2,4,3,6,8]=>[[1,3,5,7,8],[2],[4],[6]]=>18
[1,8,3,6,2,4,7,5]=>[[1,2,4,7],[3,6,8],[5]]=>15
[1,8,7,5,6,4,2,3]=>[[1,2,5],[3,8],[4],[6],[7]]=>16
[6,8,2,1,5,4,3,7]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[6,3,2,1,5,8,4,7]=>[[1,5,6],[2,7,8],[3],[4]]=>12
[4,3,5,6,2,8,1,7]=>[[1,3,4,6],[2,8],[5],[7]]=>17
[6,3,5,2,7,8,4,1]=>[[1,3,5,6],[2,7],[4],[8]]=>17
[4,5,3,1,6,8,2,7]=>[[1,2,5,6],[3,7,8],[4]]=>9
[3,4,6,7,5,1,8,2]=>[[1,2,3,4,7],[5,8],[6]]=>6
[7,4,1,2,5,6,8,3]=>[[1,4,5,6,7],[2,8],[3]]=>9
[4,8,2,6,7,1,5,3]=>[[1,2,5],[3,4],[6,7],[8]]=>13
[6,5,8,3,7,1,4,2]=>[[1,3],[2,5],[4,7],[6,8]]=>24
[1,5,2,4,7,6,8,3]=>[[1,2,4,5,7],[3,6],[8]]=>11
[2,5,4,7,1,8,3,6]=>[[1,2,4,6],[3,7,8],[5]]=>13
[8,1,2,4,6,3,5,7]=>[[1,3,4,5,8],[2,7],[6]]=>13
[3,7,8,4,5,6,1,2]=>[[1,2,3,6],[4,5],[7,8]]=>9
[1,3,8,6,7,4,5,2]=>[[1,2,3,5],[4,7],[6],[8]]=>13
[2,6,5,3,7,1,8,4]=>[[1,2,5,7],[3,8],[4],[6]]=>13
[5,7,1,3,6,4,8,2]=>[[1,2,5,7],[3,4],[6],[8]]=>13
[8,2,5,4,1,7,3,6]=>[[1,3,6],[2,7,8],[4],[5]]=>17
[8,1,7,6,4,2,3,5]=>[[1,3,7,8],[2],[4],[5],[6]]=>18
[1,8,6,3,7,4,5,2]=>[[1,2,5,7],[3,6],[4],[8]]=>13
[5,7,3,4,2,8,6,1]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[5,8,3,4,2,7,6,1]=>[[1,2,6],[3,4],[5,7],[8]]=>12
[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]]=>5
[4,8,7,3,2,5,6,1]=>[[1,2,7],[3,6],[4],[5],[8]]=>16
[3,7,4,2,6,8,5,1]=>[[1,2,5,6],[3,7],[4],[8]]=>11
[6,4,8,7,3,2,5,1]=>[[1,3],[2,4],[5,7],[6],[8]]=>21
[5,6,2,8,7,4,3,1]=>[[1,2,4],[3,5],[6],[7],[8]]=>16
[6,2,8,3,7,4,5,1]=>[[1,3,5,7],[2,4],[6],[8]]=>19
[3,7,5,6,4,2,8,1]=>[[1,2,4,7],[3],[5],[6],[8]]=>17
[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]]=>13
[7,8,2,6,4,3,5,1]=>[[1,2,7],[3,4],[5],[6],[8]]=>13
[4,5,8,7,2,3,6,1]=>[[1,2,3],[4,6,7],[5],[8]]=>11
[7,8,6,1,4,2,5,3]=>[[1,2,7],[3,5],[4,8],[6]]=>15
[8,3,6,5,2,7,1,4]=>[[1,3,6],[2,8],[4],[5],[7]]=>21
[5,1,3,6,4,2,7,8]=>[[1,3,4,7,8],[2,5],[6]]=>12
[6,1,2,4,7,5,3,8]=>[[1,3,4,5,8],[2,6],[7]]=>11
[8,3,1,4,6,7,2,5]=>[[1,4,5,6],[2,7,8],[3]]=>10
[7,8,5,1,2,6,3,4]=>[[1,2,6,8],[3,5],[4,7]]=>14
[6,4,5,1,8,7,3,2]=>[[1,3,5],[2,6],[4,7],[8]]=>19
[8,6,2,1,7,3,5,4]=>[[1,5,7],[2,6],[3,8],[4]]=>15
[7,8,6,1,4,3,5,2]=>[[1,2,7],[3,5],[4],[6],[8]]=>17
[4,3,6,2,5,7,1,8]=>[[1,3,6,8],[2,5],[4],[7]]=>21
[1,6,5,7,3,4,8,2]=>[[1,2,4,7],[3,6],[5],[8]]=>17
[8,2,6,5,1,7,4,3]=>[[1,3,6],[2,7],[4],[5],[8]]=>20
[7,6,4,1,2,5,8,3]=>[[1,5,6,7],[2,8],[3],[4]]=>11
[2,6,5,4,8,7,1,3]=>[[1,2,5],[3,6],[4,8],[7]]=>14
[5,6,7,1,3,2,4,8]=>[[1,2,3,8],[4,5,7],[6]]=>8
[7,1,8,4,3,2,6,5]=>[[1,3,7],[2,4],[5,8],[6]]=>17
[1,8,5,2,7,6,4,3]=>[[1,2,5],[3,6],[4],[7],[8]]=>15
[1,7,6,8,2,5,4,3]=>[[1,2,4],[3,6],[5],[7],[8]]=>19
[1,7,8,6,2,5,4,3]=>[[1,2,3],[4,6],[5],[7],[8]]=>14
[4,6,5,7,1,8,2,3]=>[[1,2,4,6],[3,7,8],[5]]=>13
[7,5,3,6,8,4,2,1]=>[[1,4,5],[2,6],[3],[7],[8]]=>16
[7,2,5,6,4,8,3,1]=>[[1,3,4,6],[2],[5],[7],[8]]=>19
[7,4,6,2,8,5,3,1]=>[[1,3,5],[2,6],[4],[7],[8]]=>21
[1,6,3,4,2,5,8,7]=>[[1,2,4,6,7],[3,8],[5]]=>12
[1,5,7,6,2,3,8,4]=>[[1,2,3,7],[4,6,8],[5]]=>10
[1,4,3,7,6,2,5,8]=>[[1,2,4,8],[3,5],[6,7]]=>12
[1,3,7,4,6,8,5,2]=>[[1,2,3,5,6],[4],[7],[8]]=>10
[3,7,4,6,8,1,5,2]=>[[1,2,4,5],[3,7],[6],[8]]=>14
[4,8,3,1,7,6,2,5]=>[[1,2,8],[3,5],[4,6],[7]]=>14
[5,6,1,4,3,8,7,2]=>[[1,2,6],[3,4,7],[5],[8]]=>11
[5,8,6,4,3,1,7,2]=>[[1,2,7],[3,8],[4],[5],[6]]=>13
[4,1,3,7,8,6,5,2]=>[[1,3,4,5],[2,6],[7],[8]]=>13
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Description
The shifted natural comajor index of a standard Young tableau.
A natural descent of a standard tableau $T$ is an entry $i$ such that $i+1$ appears in a higher row than $i$ in English notation.
The natural comajor index of a tableau of shape $\lambda$, size $n$ with natural descent set $D$ is then $b(\lambda)+\sum_{d\in D} n-d$, where $b(\lambda) = \sum_i (i-1)\lambda_i$.
A natural descent of a standard tableau $T$ is an entry $i$ such that $i+1$ appears in a higher row than $i$ in English notation.
The natural comajor index of a tableau of shape $\lambda$, size $n$ with natural descent set $D$ is then $b(\lambda)+\sum_{d\in D} n-d$, where $b(\lambda) = \sum_i (i-1)\lambda_i$.
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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